# HG changeset patch # User blanchet # Date 1357036590 -3600 # Node ID b1f4291eb916f69e7dab676127a1da5158351027 # Parent acea12b85315cf5793de51a2739173a26f3c82df regenerate certificates -- and use oracle in a few cases where the Z3 proof parser can't deal with Z3 3.2 proofs diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/Boogie_Dijkstra.certs --- a/src/HOL/Boogie/Examples/Boogie_Dijkstra.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Dijkstra.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,33 +1,107 @@ -cca6ccd7533b69e5217f24bdf87bbb94d1949a01 5937 0 +a549accb56a0340bea4e867d66fdfbbac187f40c 6047 0 #2 := false +#7 := 0::Int +decl f30 :: (-> S2 Int) +decl ?v1!7 :: (-> S2 S2) +decl ?v0!20 :: S2 +#2034 := ?v0!20 +#5342 := (?v1!7 ?v0!20) +#13325 := (f30 #5342) +#923 := -1::Int +#13327 := (* -1::Int #13325) +decl f4 :: (-> S3 Int) +decl f5 :: (-> S4 S2 S3) +decl f6 :: (-> S5 S2 S4) +decl f7 :: S5 +#13 := f7 +#5350 := (f6 f7 #5342) +#5351 := (f5 #5350 ?v0!20) +#5352 := (f4 #5351) +#5353 := (* -1::Int #5352) +#14209 := (+ #5353 #13327) +#2037 := (f30 ?v0!20) +#14210 := (+ #2037 #14209) +#18243 := (>= #14210 0::Int) +decl f19 :: (-> S11 S2 Int) +decl f20 :: S11 +#109 := f20 +#5343 := (f19 f20 #5342) +#5344 := (* -1::Int #5343) +#5354 := (+ #5344 #5353) +#5080 := (f19 f20 ?v0!20) +#5355 := (+ #5080 #5354) +#15530 := (>= #5355 0::Int) +#5356 := (= #5355 0::Int) +#5357 := (not #5356) decl f1 :: S1 #3 := f1 decl f11 :: (-> S7 S2 S1) -decl ?v0!20 :: S2 -#2034 := ?v0!20 -decl f29 :: S7 -#190 := f29 -#4533 := (f11 f29 ?v0!20) -#4534 := (= #4533 f1) +decl f21 :: S7 +#115 := f21 +#5347 := (f11 f21 #5342) +#5348 := (= #5347 f1) +#5349 := (not #5348) +#5345 := (+ #5080 #5344) +#5346 := (<= #5345 0::Int) +#5358 := (or #5346 #5349 #5357) +#5359 := (not #5358) +#5105 := (* -1::Int #5080) +decl f3 :: Int +#8 := f3 +#5340 := (+ f3 #5105) +#5341 := (<= #5340 0::Int) +#15968 := (not #5341) +#5106 := (+ #2037 #5105) +#12022 := (>= #5106 0::Int) +#5087 := (= #2037 #5080) +decl f28 :: S2 +#181 := f28 +#195 := (f6 f7 f28) +#5121 := (f5 #195 ?v0!20) +#5122 := (f4 #5121) +#5139 := (+ #5105 #5122) +#185 := (f19 f20 f28) +#5140 := (+ #185 #5139) +#5141 := (>= #5140 0::Int) +#5123 := (* -1::Int #5122) +#5124 := (+ f3 #5123) +#5125 := (<= #5124 0::Int) +#5146 := (or #5125 #5141) +#2038 := (* -1::Int #2037) +#5178 := (+ #2038 #5122) +#5179 := (+ #185 #5178) +#5182 := (= #5179 0::Int) +#15374 := (not #5182) +#12121 := (<= #5179 0::Int) +#15379 := (not #12121) +#4078 := (f30 f28) +#4079 := (* -1::Int #4078) +#5068 := (+ #2037 #4079) +#5229 := (<= #5068 0::Int) +#15402 := (not #5229) +#15340 := (<= #5122 0::Int) +#15358 := (not #15340) +#15327 := (= f28 ?v0!20) +#15368 := (not #15327) +#9945 := (= ?v0!20 f28) +#16393 := [hypothesis]: #15327 +#16394 := [symm #16393]: #9945 +#9687 := (not #9945) +#5309 := (f11 f21 ?v0!20) +#5310 := (= #5309 f1) +#9951 := (or #9945 #5310) +#9685 := (not #9951) decl f12 :: (-> S8 S1 S7) decl f13 :: (-> S9 S2 S8) -decl f28 :: S2 -#181 := f28 decl f14 :: (-> S10 S7 S9) -decl f21 :: S7 -#115 := f21 decl f15 :: S10 #39 := f15 #191 := (f14 f15 f21) #192 := (f13 #191 f28) #193 := (f12 #192 f1) -#11446 := (f11 #193 ?v0!20) -#11447 := (= #11446 f1) -#5309 := (f11 f21 ?v0!20) -#5310 := (= #5309 f1) -#11448 := (= ?v0!20 f28) -#11454 := (or #11448 #5310) -#11459 := (iff #11447 #11454) +#9943 := (f11 #193 ?v0!20) +#9944 := (= #9943 f1) +#9956 := (iff #9944 #9951) #11 := (:var 0 S2) #54 := (:var 1 S1) #52 := (:var 2 S2) @@ -57,52 +131,52 @@ #342 := [asserted]: #64 #1526 := [mp~ #342 #1497]: #64 #3646 := [mp #1526 #3645]: #3641 -#7582 := (not #3641) -#10454 := (or #7582 #11459) +#7518 := (not #3641) +#9763 := (or #7518 #9956) #4057 := (= f1 f1) -#11449 := (if #11448 #4057 #5310) -#11450 := (iff #11447 #11449) -#10491 := (or #7582 #11450) -#10475 := (iff #10491 #10454) -#10478 := (iff #10454 #10454) -#10524 := [rewrite]: #10478 -#11460 := (iff #11450 #11459) -#11457 := (iff #11449 #11454) +#9946 := (if #9945 #4057 #5310) +#9947 := (iff #9944 #9946) +#9775 := (or #7518 #9947) +#9715 := (iff #9775 #9763) +#9722 := (iff #9763 #9763) +#9724 := [rewrite]: #9722 +#9957 := (iff #9947 #9956) +#9954 := (iff #9946 #9951) #1 := true -#11451 := (if #11448 true #5310) -#11455 := (iff #11451 #11454) -#11456 := [rewrite]: #11455 -#11452 := (iff #11449 #11451) +#9948 := (if #9945 true #5310) +#9952 := (iff #9948 #9951) +#9953 := [rewrite]: #9952 +#9949 := (iff #9946 #9948) #4059 := (iff #4057 true) #4060 := [rewrite]: #4059 -#11453 := [monotonicity #4060]: #11452 -#11458 := [trans #11453 #11456]: #11457 -#11461 := [monotonicity #11458]: #11460 -#10477 := [monotonicity #11461]: #10475 -#10530 := [trans #10477 #10524]: #10475 -#10476 := [quant-inst #115 #181 #3 #2034]: #10491 -#10523 := [mp #10476 #10530]: #10454 -#13463 := [unit-resolution #10523 #3646]: #11459 -#10516 := (not #11459) -#13559 := (or #10516 #11447) -decl f6 :: (-> S5 S2 S4) -decl f7 :: S5 -#13 := f7 +#9950 := [monotonicity #4060]: #9949 +#9955 := [trans #9950 #9953]: #9954 +#9958 := [monotonicity #9955]: #9957 +#9706 := [monotonicity #9958]: #9715 +#9734 := [trans #9706 #9724]: #9715 +#9776 := [quant-inst #115 #181 #3 #2034]: #9775 +#9519 := [mp #9776 #9734]: #9763 +#16374 := [unit-resolution #9519 #3646]: #9956 +#9410 := (not #9944) +decl f29 :: S7 +#190 := f29 +#4533 := (f11 f29 ?v0!20) +#4534 := (= #4533 f1) +#4541 := (not #4534) +#16390 := (iff #4541 #9410) +#16382 := (iff #4534 #9944) +#16359 := (iff #9944 #4534) +#16289 := (= #9943 #4533) +#8145 := (= #193 f29) +#194 := (= f29 #193) #91 := (f6 f7 #11) #3693 := (pattern #91) #212 := (f11 f29 #11) #3854 := (pattern #212) -decl f30 :: (-> S2 Int) #202 := (f30 #11) #3829 := (pattern #202) -#7 := 0::Int -decl f4 :: (-> S3 Int) -decl f5 :: (-> S4 S2 S3) #2047 := (f5 #91 ?v0!20) #2048 := (f4 #2047) -#2037 := (f30 ?v0!20) -#923 := -1::Int -#2038 := (* -1::Int #2037) #2383 := (+ #2038 #2048) #2384 := (+ #202 #2383) #2387 := (= #2384 0::Int) @@ -114,8 +188,6 @@ #2942 := (or #2045 #220 #2941) #3888 := (forall (vars (?v1 S2)) (:pat #3829 #3854 #3693) #2942) #3893 := (not #3888) -decl f3 :: Int -#8 := f3 #2039 := (+ f3 #2038) #2040 := (<= #2039 0::Int) decl f16 :: S2 @@ -159,20 +231,6 @@ #2896 := (not #2005) #2911 := (or #2896 #2011 #2020) #2916 := (not #2911) -#13632 := [hypothesis]: #2916 -#2012 := (not #2011) -#3530 := (or #2911 #2012) -#3533 := [def-axiom]: #3530 -#10274 := [unit-resolution #3533 #13632]: #2012 -#10298 := (or #2911 #2011) -decl f19 :: (-> S11 S2 Int) -decl f20 :: S11 -#109 := f20 -#112 := (f19 f20 #11) -#3716 := (pattern #112) -#207 := (= #202 #112) -#560 := (or #220 #207) -#3855 := (forall (vars (?v0 S2)) (:pat #3854 #3829 #3716) #560) #3902 := (or #2916 #3899) #3905 := (not #3902) #3871 := (pattern #202 #224) @@ -222,6 +280,11 @@ #3935 := (not #3932) #3938 := (or #661 #3935) #3941 := (not #3938) +#112 := (f19 f20 #11) +#3716 := (pattern #112) +#207 := (= #202 #112) +#560 := (or #220 #207) +#3855 := (forall (vars (?v0 S2)) (:pat #3854 #3829 #3716) #560) #3860 := (not #3855) #3944 := (or #3860 #3941) #3947 := (not #3944) @@ -234,22 +297,6 @@ #1937 := (= #1936 f1) #1938 := (not #1937) #1942 := (or #1938 #1941) -#195 := (f6 f7 f28) -#196 := (f5 #195 #11) -#3828 := (pattern #196) -#197 := (f4 #196) -#1140 := (* -1::Int #197) -#185 := (f19 f20 f28) -#1146 := (* -1::Int #185) -#1147 := (+ #1146 #1140) -#1148 := (+ #112 #1147) -#1149 := (<= #1148 0::Int) -#1141 := (+ f3 #1140) -#1142 := (<= #1141 0::Int) -#2822 := (or #1142 #1149) -#2823 := (not #2822) -#2844 := (or #2823 #207) -#3838 := (forall (vars (?v0 S2)) (:pat #3828 #3716 #3829) #2844) #1943 := (not #1942) #3950 := (or #1943 #3947) #3953 := (not #3950) @@ -270,6 +317,20 @@ #1923 := (not #1922) #3962 := (or #1923 #3959) #3965 := (not #3962) +#196 := (f5 #195 #11) +#3828 := (pattern #196) +#197 := (f4 #196) +#1140 := (* -1::Int #197) +#1146 := (* -1::Int #185) +#1147 := (+ #1146 #1140) +#1148 := (+ #112 #1147) +#1149 := (<= #1148 0::Int) +#1141 := (+ f3 #1140) +#1142 := (<= #1141 0::Int) +#2822 := (or #1142 #1149) +#2823 := (not #2822) +#2844 := (or #2823 #207) +#3838 := (forall (vars (?v0 S2)) (:pat #3828 #3716 #3829) #2844) #3843 := (not #3838) #1296 := (+ #197 #1166) #1297 := (+ #185 #1296) @@ -277,7 +338,6 @@ #2836 := (or #1142 #1149 #1294) #3830 := (forall (vars (?v0 S2)) (:pat #3828 #3716 #3829) #2836) #3835 := (not #3830) -#194 := (= f29 #193) #715 := (not #194) #116 := (f11 f21 #11) #3750 := (pattern #116) @@ -412,12 +472,9 @@ #3751 := (forall (vars (?v0 S2)) (:pat #3750 #3716) #2674) #3756 := (not #3751) #3814 := (or #3756 #521 #512 #503 #494 #3811) -#110 := (f19 f20 f16) -#111 := (= #110 0::Int) #3817 := (not #3814) #3974 := (or #3817 #3971) #3977 := (not #3974) -decl ?v1!7 :: (-> S2 S2) #1707 := (?v1!7 #11) #1714 := (f6 f7 #1707) #1715 := (f5 #1714 #11) @@ -459,6 +516,8 @@ #1394 := (>= #112 0::Int) #3717 := (forall (vars (?v0 S2)) (:pat #3716) #1394) #3722 := (not #3717) +#110 := (f19 f20 f16) +#111 := (= #110 0::Int) #804 := (not #111) decl f17 :: (-> S2 Int) #67 := (f17 #11) @@ -515,18 +574,18 @@ #1619 := (<= #1618 0::Int) #1614 := (= ?v0!5 f16) #3702 := (or #1614 #1619 #3699) -#6895 := (= f3 #1616) -#6849 := (= #1616 f3) -#6924 := (iff #6849 #6895) -#6925 := (iff #6895 #6849) -#6926 := [commutativity]: #6925 -#6927 := [symm #6926]: #6924 +#6176 := (= f3 #1616) +#6574 := (= #1616 f3) +#6629 := (iff #6574 #6176) +#6627 := (iff #6176 #6574) +#6628 := [commutativity]: #6627 +#6630 := [symm #6628]: #6629 #1615 := (not #1614) #3705 := (not #3702) -#6853 := [hypothesis]: #3705 +#5790 := [hypothesis]: #3705 #3262 := (or #3702 #1615) #3263 := [def-axiom]: #3262 -#6907 := [unit-resolution #3263 #6853]: #1615 +#6625 := [unit-resolution #3263 #5790]: #1615 #72 := (= #67 f3) #350 := (or #66 #72) #3654 := (forall (vars (?v0 S2)) (:pat #3647) #350) @@ -1781,25 +1840,25 @@ #1532 := [mp~ #1477 #1501]: #353 #3659 := [mp #1532 #3658]: #3654 #3289 := (not #3654) -#6890 := (or #3289 #1614 #6849) -#6850 := (or #1614 #6849) -#6891 := (or #3289 #6850) -#6893 := (iff #6891 #6890) -#6888 := [rewrite]: #6893 -#6892 := [quant-inst #1613]: #6891 -#6894 := [mp #6892 #6888]: #6890 -#6908 := [unit-resolution #6894 #3659 #6907]: #6849 -#6928 := [mp #6908 #6927]: #6895 -#6897 := (not #6895) +#5853 := (or #3289 #1614 #6574) +#6575 := (or #1614 #6574) +#6155 := (or #3289 #6575) +#6156 := (iff #6155 #5853) +#6165 := [rewrite]: #6156 +#5702 := [quant-inst #1613]: #6155 +#6166 := [mp #5702 #6165]: #5853 +#6626 := [unit-resolution #6166 #3659 #6625]: #6574 +#6631 := [mp #6626 #6630]: #6176 +#6615 := (not #6176) #1620 := (not #1619) #3595 := (or #3702 #1620) #3596 := [def-axiom]: #3595 -#6889 := [unit-resolution #3596 #6853]: #1620 -#6898 := (or #6897 #1619) -#6903 := [th-lemma arith triangle-eq]: #6898 -#6904 := [unit-resolution #6903 #6889]: #6897 -#6929 := [unit-resolution #6904 #6928]: false -#6930 := [lemma #6929]: #3702 +#5852 := [unit-resolution #3596 #5790]: #1620 +#6616 := (or #6615 #1619) +#6622 := [th-lemma arith triangle-eq]: #6616 +#6624 := [unit-resolution #6622 #5852]: #6615 +#6632 := [unit-resolution #6624 #6631]: false +#6633 := [lemma #6632]: #3702 #3986 := (or #3705 #3983) #3989 := (not #3986) #2540 := (or #78 #940 #951) @@ -2322,6 +2381,7 @@ #2041 := (not #2040) #2036 := (not #2035) #2405 := (and #1212 #2036 #2041 #2396) +#2012 := (not #2011) #2013 := (and #2005 #2012) #2014 := (not #2013) #2021 := (or #2014 #2020) @@ -3581,16 +3641,16 @@ #2169 := [mp #2168 #2483]: #2481 #3122 := [mp #2169 #3121]: #3119 #4037 := [mp #3122 #4036]: #4034 -#7272 := [unit-resolution #4037 #4122]: #4031 +#7144 := [unit-resolution #4037 #4122]: #4031 #3361 := (or #4028 #4022) #3351 := [def-axiom]: #3361 -#7273 := [unit-resolution #3351 #7272]: #4022 +#7145 := [unit-resolution #3351 #7144]: #4022 #3357 := (or #4025 #1542 #4019) #3359 := [def-axiom]: #3357 -#7274 := [unit-resolution #3359 #7273 #4053]: #4019 +#7146 := [unit-resolution #3359 #7145 #4053]: #4019 #3355 := (or #4016 #4010) #3358 := [def-axiom]: #3355 -#7275 := [unit-resolution #3358 #7274]: #4010 +#7147 := [unit-resolution #3358 #7146]: #4010 #4245 := [hypothesis]: #1560 #3661 := (forall (vars (?v0 S2)) (:pat #3660) #78) #3664 := (iff #79 #3661) @@ -3611,570 +3671,435 @@ #4288 := [lemma #4251]: #1884 #3186 := (or #1841 #1560) #3272 := [def-axiom]: #3186 -#7276 := [unit-resolution #3272 #4288]: #1841 +#7148 := [unit-resolution #3272 #4288]: #1841 #3217 := (or #4013 #1946 #4007) #3375 := [def-axiom]: #3217 -#7277 := [unit-resolution #3375 #7276 #7275]: #4007 +#7149 := [unit-resolution #3375 #7148 #7147]: #4007 #3397 := (or #4004 #3998) #3367 := [def-axiom]: #3397 -#7278 := [unit-resolution #3367 #7277]: #3998 -#6766 := [hypothesis]: #1584 -#6706 := (or #6940 #2503) -#6719 := [quant-inst #1581]: #6706 -#6767 := [unit-resolution #6719 #3666 #6766]: false -#6806 := [lemma #6767]: #2503 +#7150 := [unit-resolution #3367 #7149]: #3998 +#6160 := [hypothesis]: #1584 +#6331 := (or #6940 #2503) +#6332 := [quant-inst #1581]: #6331 +#6161 := [unit-resolution #6332 #3666 #6160]: false +#6581 := [lemma #6161]: #2503 #3277 := (or #2518 #1584) #3274 := [def-axiom]: #3277 -#7279 := [unit-resolution #3274 #6806]: #2518 +#7151 := [unit-resolution #3274 #6581]: #2518 #3394 := (or #4001 #2523 #3995) #3395 := [def-axiom]: #3394 -#7280 := [unit-resolution #3395 #7279 #7278]: #3995 +#7152 := [unit-resolution #3395 #7151 #7150]: #3995 #3378 := (or #3992 #3986) #3385 := [def-axiom]: #3378 -#7281 := [unit-resolution #3385 #7280]: #3986 +#7153 := [unit-resolution #3385 #7152]: #3986 #3415 := (or #3989 #3705 #3983) #3400 := [def-axiom]: #3415 -#7282 := [unit-resolution #3400 #7281]: #3986 -#7283 := [unit-resolution #7282 #6930]: #3983 -#3431 := (or #3980 #111) -#3432 := [def-axiom]: #3431 -#7286 := [unit-resolution #3432 #7283]: #111 -#6676 := (= #168 #110) -#6764 := [hypothesis]: #3817 +#7154 := [unit-resolution #3400 #7153]: #3986 +#7155 := [unit-resolution #7154 #6633]: #3983 +#3407 := (or #3980 #3974) +#3408 := [def-axiom]: #3407 +#7801 := [unit-resolution #3408 #7155]: #3974 +#6893 := [hypothesis]: #3817 #3559 := (or #3814 #149) #3554 := [def-axiom]: #3559 -#6807 := [unit-resolution #3554 #6764]: #149 -#6734 := [monotonicity #6807]: #6676 -#6648 := [trans #6734 #7286]: #169 +#6888 := [unit-resolution #3554 #6893]: #149 #3555 := (or #3814 #3751) #3556 := [def-axiom]: #3555 -#6645 := [unit-resolution #3556 #6764]: #3751 -#7455 := (or #2754 #3756 #503) -#6650 := (f19 f20 ?v1!10) -#6737 := (* -1::Int #6650) -#6738 := (+ f3 #6737) -#6739 := (<= #6738 0::Int) -#7562 := (not #6739) -#7411 := [hypothesis]: #2759 +#6808 := [unit-resolution #3556 #6893]: #3751 +#3431 := (or #3980 #111) +#3432 := [def-axiom]: #3431 +#6894 := [unit-resolution #3432 #7155]: #111 +#4278 := (or #503 #169 #804) +#4273 := [hypothesis]: #111 +#4275 := (= #168 #110) +#4274 := [hypothesis]: #149 +#4276 := [monotonicity #4274]: #4275 +#4271 := [trans #4276 #4273]: #169 +#4158 := [hypothesis]: #1849 +#4277 := [unit-resolution #4158 #4271]: false +#4279 := [lemma #4277]: #4278 +#6895 := [unit-resolution #4279 #6888 #6894]: #169 +#3298 := (or #3790 #1849) +#3299 := [def-axiom]: #3298 +#6896 := [unit-resolution #3299 #6895]: #3790 +#3402 := (or #3814 #3808) +#3403 := [def-axiom]: #3402 +#6861 := [unit-resolution #3403 #6893]: #3808 +#7454 := (or #3768 #503) +#6806 := (?v1!7 ?v0!8) +#7010 := (f19 f25 #6806) +#7056 := (* -1::Int #7010) +#6807 := (f19 f20 #6806) +#7278 := (+ #6807 #7056) +#7328 := (>= #7278 0::Int) +#7277 := (= #6807 #7010) +#7409 := (= #7010 #6807) +#7410 := [monotonicity #4274]: #7409 +#7411 := [symm #7410]: #7277 +#7412 := (not #7277) +#7413 := (or #7412 #7328) +#7414 := [th-lemma arith triangle-eq]: #7413 +#7415 := [unit-resolution #7414 #7411]: #7328 +#6897 := (* -1::Int #6807) +#6741 := (f19 f20 ?v0!8) +#6898 := (+ #6741 #6897) +#6903 := (<= #6898 0::Int) +#6821 := (not #6903) +#6850 := (f6 f7 #6806) +#6853 := (f5 #6850 ?v0!8) +#6889 := (f4 #6853) +#6890 := (* -1::Int #6889) +#6908 := (+ #6897 #6890) +#6925 := (+ #6741 #6908) +#5298 := (= #6925 0::Int) +#6077 := (not #5298) +#6904 := (f11 f21 #6806) +#6851 := (= #6904 f1) +#6852 := (not #6851) +#6078 := (or #6903 #6852 #6077) +#6102 := (not #6078) +#6742 := (* -1::Int #6741) +#6772 := (+ f3 #6742) +#6773 := (<= #6772 0::Int) +#7378 := (not #6773) +#7416 := [hypothesis]: #3771 +#3249 := (or #3768 #1758) +#3591 := [def-axiom]: #3249 +#7417 := [unit-resolution #3591 #7416]: #1758 +#7026 := (+ #1754 #6742) +#7012 := (>= #7026 0::Int) +#7025 := (= #1754 #6741) +#7418 := (= #6741 #1754) +#6982 := (= f20 f25) +#6983 := [symm #4274]: #6982 +#7419 := [monotonicity #6983]: #7418 +#7420 := [symm #7419]: #7025 +#7421 := (not #7025) +#7422 := (or #7421 #7012) +#7423 := [th-lemma arith triangle-eq]: #7422 +#7424 := [unit-resolution #7423 #7420]: #7012 +#7379 := (not #7012) +#7380 := (or #7378 #7379 #1757) +#7368 := [hypothesis]: #1758 +#7369 := [hypothesis]: #6773 +#7376 := [hypothesis]: #7012 +#7377 := [th-lemma arith farkas 1 -1 1 #7376 #7369 #7368]: false +#7381 := [lemma #7377]: #7380 +#7425 := [unit-resolution #7381 #7424 #7417]: #7378 +#7428 := (or #6773 #6102) +#3589 := (or #3768 #1753) +#3254 := [def-axiom]: #3589 +#7426 := [unit-resolution #3254 #7416]: #1753 +#3405 := (or #3980 #3742) +#3406 := [def-axiom]: #3405 +#7427 := [unit-resolution #3406 #7155]: #3742 +#6227 := (or #3747 #1752 #6773 #6102) +#6103 := (or #1752 #6773 #6102) +#6189 := (or #3747 #6103) +#6704 := (iff #6189 #6227) +#6805 := [rewrite]: #6704 +#6190 := [quant-inst #1751]: #6189 +#6797 := [mp #6190 #6805]: #6227 +#7429 := [unit-resolution #6797 #7427 #7426]: #7428 +#7430 := [unit-resolution #7429 #7425]: #6102 +#6854 := (or #6078 #6821) +#6860 := [def-axiom]: #6854 +#7431 := [unit-resolution #6860 #7430]: #6821 +#7057 := (+ #1754 #7056) +#7058 := (<= #7057 0::Int) +#7101 := (+ #6890 #7056) +#7102 := (+ #1754 #7101) +#7105 := (= #7102 0::Int) +#7195 := (<= #7102 0::Int) +#7327 := (<= #7278 0::Int) +#7432 := (or #7412 #7327) +#7433 := [th-lemma arith triangle-eq]: #7432 +#7434 := [unit-resolution #7433 #7411]: #7327 +#6815 := (<= #6925 0::Int) +#6862 := (or #6078 #5298) +#6863 := [def-axiom]: #6862 +#7435 := [unit-resolution #6863 #7430]: #5298 +#7436 := (or #6077 #6815) +#7437 := [th-lemma arith triangle-eq]: #7436 +#7438 := [unit-resolution #7437 #7435]: #6815 +#7011 := (<= #7026 0::Int) +#7439 := (or #7421 #7011) +#7440 := [th-lemma arith triangle-eq]: #7439 +#7441 := [unit-resolution #7440 #7420]: #7011 +#7390 := (not #7327) +#7389 := (not #6815) +#7388 := (not #7011) +#7391 := (or #7195 #7388 #7389 #7390) +#7375 := [hypothesis]: #7327 +#7128 := [hypothesis]: #6815 +#7384 := [hypothesis]: #7011 +#7385 := (not #7195) +#7386 := [hypothesis]: #7385 +#7387 := [th-lemma arith farkas -1 1 1 1 #7386 #7384 #7128 #7375]: false +#7392 := [lemma #7387]: #7391 +#7442 := [unit-resolution #7392 #7441 #7438 #7434]: #7195 +#7196 := (>= #7102 0::Int) +#6820 := (>= #6925 0::Int) +#7443 := (or #6077 #6820) +#7444 := [th-lemma arith triangle-eq]: #7443 +#7445 := [unit-resolution #7444 #7435]: #6820 +#7406 := (not #7328) +#7405 := (not #6820) +#7407 := (or #7196 #7379 #7405 #7406) +#7400 := [hypothesis]: #7328 +#7401 := [hypothesis]: #6820 +#7402 := (not #7196) +#7403 := [hypothesis]: #7402 +#7404 := [th-lemma arith farkas -1 1 1 1 #7403 #7376 #7401 #7400]: false +#7408 := [lemma #7404]: #7407 +#7446 := [unit-resolution #7408 #7424 #7445 #7415]: #7196 +#7447 := (or #7105 #7385 #7402) +#7448 := [th-lemma arith triangle-eq]: #7447 +#7449 := [unit-resolution #7448 #7446 #7442]: #7105 +#7114 := (not #7105) +#7122 := (or #7058 #7114) +#3234 := (or #3768 #3760) +#3575 := [def-axiom]: #3234 +#7450 := [unit-resolution #3575 #7416]: #3760 +#7125 := (or #3765 #7058 #7114) +#7015 := (+ #1755 #6889) +#7028 := (+ #7010 #7015) +#7029 := (= #7028 0::Int) +#7049 := (not #7029) +#7013 := (+ #7010 #1755) +#7014 := (>= #7013 0::Int) +#7050 := (or #7014 #7049) +#7126 := (or #3765 #7050) +#7119 := (iff #7126 #7125) +#6981 := (or #3765 #7122) +#7017 := (iff #6981 #7125) +#7118 := [rewrite]: #7017 +#7016 := (iff #7126 #6981) +#7123 := (iff #7050 #7122) +#7115 := (iff #7049 #7114) +#7113 := (iff #7029 #7105) +#7091 := (+ #6889 #7010) +#7086 := (+ #1755 #7091) +#7094 := (= #7086 0::Int) +#7106 := (iff #7094 #7105) +#7112 := [rewrite]: #7106 +#7095 := (iff #7029 #7094) +#7092 := (= #7028 #7086) +#7093 := [rewrite]: #7092 +#7096 := [monotonicity #7093]: #7095 +#7111 := [trans #7096 #7112]: #7113 +#7116 := [monotonicity #7111]: #7115 +#7089 := (iff #7014 #7058) +#7051 := (+ #1755 #7010) +#7048 := (>= #7051 0::Int) +#7087 := (iff #7048 #7058) +#7088 := [rewrite]: #7087 +#7054 := (iff #7014 #7048) +#7052 := (= #7013 #7051) +#7053 := [rewrite]: #7052 +#7055 := [monotonicity #7053]: #7054 +#7090 := [trans #7055 #7088]: #7089 +#7121 := [monotonicity #7090 #7116]: #7123 +#7124 := [monotonicity #7121]: #7016 +#7120 := [trans #7124 #7118]: #7119 +#6980 := [quant-inst #6806]: #7126 +#7127 := [mp #6980 #7120]: #7125 +#7451 := [unit-resolution #7127 #7450]: #7122 +#7452 := [unit-resolution #7451 #7449]: #7058 +#7453 := [th-lemma arith farkas 1 -1 1 1 #7424 #7452 #7431 #7415]: false +#7455 := [lemma #7453]: #7454 +#6859 := [unit-resolution #7455 #6888]: #3768 +#3562 := (or #3811 #3771 #3805) +#3566 := [def-axiom]: #3562 +#6864 := [unit-resolution #3566 #6859 #6861]: #3805 +#3283 := (or #3802 #3796) +#3284 := [def-axiom]: #3283 +#6869 := [unit-resolution #3284 #6864]: #3796 +#3571 := (or #3799 #2759 #3793) +#3568 := [def-axiom]: #3571 +#6935 := [unit-resolution #3568 #6869 #6896]: #2759 +#3225 := (or #2754 #1828) +#3226 := [def-axiom]: #3225 +#6870 := [unit-resolution #3226 #6935]: #1828 +#6589 := (f19 f20 ?v1!10) +#6584 := (* -1::Int #6589) +#6868 := (+ #1817 #6584) +#6946 := (>= #6868 0::Int) +#4646 := (or #6946 #503) +#6329 := (= #1817 #6589) +#6605 := (= #6589 #1817) +#6606 := [monotonicity #6983]: #6605 +#6585 := [symm #6606]: #6329 +#7134 := (not #6946) +#6586 := [hypothesis]: #7134 +#6330 := (not #6329) +#6322 := (or #6330 #6946) +#6328 := [th-lemma arith triangle-eq]: #6322 +#6580 := [unit-resolution #6328 #6586 #6585]: false +#4567 := [lemma #6580]: #4646 +#6867 := [unit-resolution #4567 #6888]: #6946 #3583 := (or #2754 #1821) #3585 := [def-axiom]: #3583 -#7412 := [unit-resolution #3585 #7411]: #1821 -#7369 := (+ #1817 #6737) -#7377 := (>= #7369 0::Int) -#7368 := (= #1817 #6650) -#7415 := (= #6650 #1817) -#7413 := (= f20 f25) -#6293 := [hypothesis]: #149 -#7414 := [symm #6293]: #7413 -#7416 := [monotonicity #7414]: #7415 -#7417 := [symm #7416]: #7368 -#7404 := (not #7368) -#7405 := (or #7404 #7377) -#7403 := [th-lemma arith triangle-eq]: #7405 -#7406 := [unit-resolution #7403 #7417]: #7377 -#7563 := (not #7377) -#7564 := (or #7562 #7563 #1820) -#7558 := [hypothesis]: #1821 -#7559 := [hypothesis]: #7377 -#7560 := [hypothesis]: #6739 -#7561 := [th-lemma arith farkas -1 1 1 #7560 #7559 #7558]: false -#7565 := [lemma #7561]: #7564 -#7407 := [unit-resolution #7565 #7406 #7412]: #7562 -#6285 := (f11 f21 ?v1!10) -#6647 := (= #6285 f1) -#7300 := (not #6647) -#7008 := (f19 f20 ?v0!11) -#7003 := (* -1::Int #7008) -#7301 := (+ #6650 #7003) -#7304 := (+ #1824 #7301) -#7305 := (>= #7304 0::Int) -#7459 := (not #7305) -#7379 := (+ #1831 #7003) -#7380 := (<= #7379 0::Int) -#7378 := (= #1831 #7008) -#7408 := (= #7008 #1831) -#7426 := [monotonicity #7414]: #7408 -#7427 := [symm #7426]: #7378 -#7425 := (not #7378) -#7428 := (or #7425 #7380) -#7429 := [th-lemma arith triangle-eq]: #7428 -#7430 := [unit-resolution #7429 #7427]: #7380 +#6945 := [unit-resolution #3585 #6935]: #1821 #3586 := (not #2356) #3584 := (or #2754 #3586) #3587 := [def-axiom]: #3584 -#7458 := [unit-resolution #3587 #7411]: #3586 -#7460 := (not #7380) -#7461 := (or #7459 #7460 #2356 #7563) -#7462 := [th-lemma arith assign-bounds -1 -1 1]: #7461 -#7463 := [unit-resolution #7462 #7458 #7406 #7430]: #7459 -#7466 := (or #7300 #7305) -#3225 := (or #2754 #1828) -#3226 := [def-axiom]: #3225 -#7464 := [unit-resolution #3226 #7411]: #1828 +#6866 := [unit-resolution #3587 #6935]: #3586 +#7019 := (or #7134 #3756 #1827 #2356 #1820 #503) +#6765 := (f19 f20 ?v0!11) +#6766 := (* -1::Int #6765) +#6948 := (+ #1831 #6766) +#6949 := (<= #6948 0::Int) +#6947 := (= #1831 #6765) +#6984 := (= #6765 #1831) +#6985 := [monotonicity #6983]: #6984 +#6986 := [symm #6985]: #6947 +#6987 := (not #6947) +#6988 := (or #6987 #6949) +#6975 := [th-lemma arith triangle-eq]: #6988 +#6976 := [unit-resolution #6975 #6986]: #6949 +#7130 := [hypothesis]: #3586 +#7143 := [hypothesis]: #1828 +#7140 := [hypothesis]: #3751 +#7131 := [hypothesis]: #6946 +#6572 := (+ f3 #6584) +#6576 := (<= #6572 0::Int) +#7138 := (not #6576) +#6974 := [hypothesis]: #1821 +#6977 := (or #7138 #1820 #7134) +#6978 := [th-lemma arith assign-bounds -1 -1]: #6977 +#6979 := [unit-resolution #6978 #7131 #6974]: #7138 +#7133 := (not #6949) +#7160 := (or #6576 #1827 #3756 #7134 #2356 #7133) +#6907 := (+ #6589 #6766) +#6926 := (+ #1824 #6907) +#6924 := (>= #6926 0::Int) +#7132 := (not #6924) +#7129 := [hypothesis]: #6949 +#7135 := (or #7132 #7133 #2356 #7134) +#7136 := [th-lemma arith assign-bounds -1 -1 1]: #7135 +#7137 := [unit-resolution #7136 #7131 #7130 #7129]: #7132 +#6587 := (f11 f21 ?v1!10) +#6588 := (= #6587 f1) +#7139 := [hypothesis]: #7138 +#5703 := (or #6588 #6576) +#6635 := (or #3756 #6588 #6576) +#6636 := (or #3756 #5703) +#6638 := (iff #6636 #6635) +#6211 := [rewrite]: #6638 +#6637 := [quant-inst #1815]: #6636 +#6252 := [mp #6637 #6211]: #6635 +#7141 := [unit-resolution #6252 #7140]: #5703 +#7142 := [unit-resolution #7141 #7139]: #6588 +#6849 := (not #6588) +#7157 := (or #6849 #6924) #3399 := (or #3980 #3734) #3404 := [def-axiom]: #3399 -#7465 := [unit-resolution #3404 #7283]: #3734 -#7309 := (or #3739 #7300 #1827 #7305) -#7306 := (or #7300 #1827 #7305) -#7310 := (or #3739 #7306) -#7312 := (iff #7310 #7309) -#7313 := [rewrite]: #7312 -#7311 := [quant-inst #1816 #1815]: #7310 -#7314 := [mp #7311 #7313]: #7309 -#7451 := [unit-resolution #7314 #7465 #7464]: #7466 -#7452 := [unit-resolution #7451 #7463]: #7300 -#6728 := (or #6647 #6739) -#7450 := [hypothesis]: #3751 -#6799 := (or #3756 #6647 #6739) -#6816 := (or #3756 #6728) -#6846 := (iff #6816 #6799) -#6847 := [rewrite]: #6846 -#6817 := [quant-inst #1815]: #6816 -#6845 := [mp #6817 #6847]: #6799 -#7453 := [unit-resolution #6845 #7450]: #6728 -#7454 := [unit-resolution #7453 #7452 #7407]: false -#7468 := [lemma #7454]: #7455 -#6971 := [unit-resolution #7468 #6807 #6645]: #2754 -#3402 := (or #3814 #3808) -#3403 := [def-axiom]: #3402 -#6674 := [unit-resolution #3403 #6764]: #3808 -#4377 := (or #3814 #1757) -#4289 := (f19 f20 ?v0!8) -#4618 := (= #1754 #4289) -#6669 := [monotonicity #6807]: #4618 -#3405 := (or #3980 #3742) -#3406 := [def-axiom]: #3405 -#6675 := [unit-resolution #3406 #7283]: #3742 -#4616 := [hypothesis]: #1758 -#3298 := (or #3790 #1849) -#3299 := [def-axiom]: #3298 -#6729 := [unit-resolution #3299 #6648]: #3790 -#6730 := [unit-resolution #7468 #6645 #6807]: #2754 -#3571 := (or #3799 #2759 #3793) -#3568 := [def-axiom]: #3571 -#6726 := [unit-resolution #3568 #6730 #6729]: #3799 -#3283 := (or #3802 #3796) -#3284 := [def-axiom]: #3283 -#6731 := [unit-resolution #3284 #6726]: #3802 -#3562 := (or #3811 #3771 #3805) -#3566 := [def-axiom]: #3562 -#4291 := [unit-resolution #3566 #6731 #6674]: #3771 -#3589 := (or #3768 #1753) -#3254 := [def-axiom]: #3589 -#4320 := [unit-resolution #3254 #4291]: #1753 -#3234 := (or #3768 #3760) -#3575 := [def-axiom]: #3234 -#4321 := [unit-resolution #3575 #4291]: #3760 -#6324 := (not #4618) -#6580 := (or #6324 #3765 #503 #3747 #1752 #1757) -#4276 := (?v1!7 ?v0!8) -#4648 := (f19 f25 #4276) -#4674 := (* -1::Int #4648) -#4679 := (+ #1754 #4674) -#4680 := (<= #4679 0::Int) -#6358 := (not #4680) -#4271 := (f19 f20 #4276) -#5403 := (+ #4271 #4674) -#5440 := (>= #5403 0::Int) -#5390 := (= #4271 #4648) -#6305 := (= #4648 #4271) -#6306 := [monotonicity #6293]: #6305 -#6323 := [symm #6306]: #5390 -#6325 := (not #5390) -#6326 := (or #6325 #5440) -#6327 := [th-lemma arith triangle-eq]: #6326 -#6322 := [unit-resolution #6327 #6323]: #5440 -#4272 := (* -1::Int #4289) -#4349 := (+ #4271 #4272) -#4368 := (>= #4349 0::Int) -#4448 := (not #4368) -#4329 := (f6 f7 #4276) -#4330 := (f5 #4329 ?v0!8) -#4315 := (f4 #4330) -#4366 := (+ #4272 #4315) -#4367 := (+ #4271 #4366) -#4391 := (= #4367 0::Int) -#4390 := (not #4391) -#4326 := (f11 f21 #4276) -#4327 := (= #4326 f1) -#4328 := (not #4327) -#4398 := (or #4368 #4328 #4390) -#4419 := (not #4398) -#4273 := (+ f3 #4272) -#4274 := (<= #4273 0::Int) -#4624 := (not #4274) -#4619 := (+ #1754 #4272) -#4615 := (>= #4619 0::Int) -#6328 := [hypothesis]: #4618 -#6329 := (or #6324 #4615) -#6330 := [th-lemma arith triangle-eq]: #6329 -#6331 := [unit-resolution #6330 #6328]: #4615 -#4625 := (not #4615) -#4646 := (or #4624 #4625 #1757) -#4621 := [hypothesis]: #4274 -#4622 := [hypothesis]: #4615 -#4623 := [th-lemma arith farkas 1 -1 1 #4622 #4621 #4616]: false -#4647 := [lemma #4623]: #4646 -#6332 := [unit-resolution #4647 #6331 #4616]: #4624 -#6350 := (or #4274 #4419) -#6351 := [hypothesis]: #1753 -#6355 := [hypothesis]: #3742 -#4425 := (or #3747 #1752 #4274 #4419) -#4316 := (* -1::Int #4315) -#4323 := (* -1::Int #4271) -#4314 := (+ #4323 #4316) -#4317 := (+ #4289 #4314) -#4318 := (= #4317 0::Int) -#4319 := (not #4318) -#4324 := (+ #4289 #4323) -#4325 := (<= #4324 0::Int) -#4332 := (or #4325 #4328 #4319) -#4333 := (not #4332) -#4337 := (or #1752 #4274 #4333) -#4426 := (or #3747 #4337) -#4439 := (iff #4426 #4425) -#4420 := (or #1752 #4274 #4419) -#4428 := (or #3747 #4420) -#4435 := (iff #4428 #4425) -#4438 := [rewrite]: #4435 -#4436 := (iff #4426 #4428) -#4423 := (iff #4337 #4420) -#4421 := (iff #4333 #4419) -#4399 := (iff #4332 #4398) -#4396 := (iff #4319 #4390) -#4394 := (iff #4318 #4391) -#4373 := (+ #4289 #4316) -#4374 := (+ #4323 #4373) -#4364 := (= #4374 0::Int) -#4392 := (iff #4364 #4391) -#4393 := [rewrite]: #4392 -#4362 := (iff #4318 #4364) -#4375 := (= #4317 #4374) -#4363 := [rewrite]: #4375 -#4365 := [monotonicity #4363]: #4362 -#4395 := [trans #4365 #4393]: #4394 -#4397 := [monotonicity #4395]: #4396 -#4371 := (iff #4325 #4368) -#4338 := (+ #4323 #4289) -#4344 := (<= #4338 0::Int) -#4369 := (iff #4344 #4368) -#4370 := [rewrite]: #4369 -#4347 := (iff #4325 #4344) -#4345 := (= #4324 #4338) -#4346 := [rewrite]: #4345 -#4348 := [monotonicity #4346]: #4347 -#4372 := [trans #4348 #4370]: #4371 -#4400 := [monotonicity #4372 #4397]: #4399 -#4422 := [monotonicity #4400]: #4421 -#4424 := [monotonicity #4422]: #4423 -#4437 := [monotonicity #4424]: #4436 -#4440 := [trans #4437 #4438]: #4439 -#4427 := [quant-inst #1751]: #4426 -#4446 := [mp #4427 #4440]: #4425 -#6354 := [unit-resolution #4446 #6355 #6351]: #6350 -#6356 := [unit-resolution #6354 #6332]: #4419 -#4449 := (or #4398 #4448) -#4450 := [def-axiom]: #4449 -#6357 := [unit-resolution #4450 #6356]: #4448 -#6365 := (not #5440) -#6368 := (or #6358 #4625 #4368 #6365) -#6367 := [th-lemma arith assign-bounds -1 1 -1]: #6368 -#6369 := [unit-resolution #6367 #6331 #6357 #6322]: #6358 -#4710 := (+ #4316 #4674) -#4711 := (+ #1754 #4710) -#4712 := (= #4711 0::Int) -#4798 := (<= #4711 0::Int) -#5439 := (<= #5403 0::Int) -#6370 := (or #6325 #5439) -#6375 := [th-lemma arith triangle-eq]: #6370 -#6378 := [unit-resolution #6375 #6323]: #5439 -#4447 := (>= #4367 0::Int) -#4455 := (or #4398 #4391) -#4458 := [def-axiom]: #4455 -#6379 := [unit-resolution #4458 #6356]: #4391 -#6377 := (or #4390 #4447) -#6383 := [th-lemma arith triangle-eq]: #6377 -#6384 := [unit-resolution #6383 #6379]: #4447 -#4620 := (<= #4619 0::Int) -#6382 := (or #6324 #4620) -#6386 := [th-lemma arith triangle-eq]: #6382 -#6387 := [unit-resolution #6386 #6328]: #4620 -#6401 := (not #5439) -#6398 := (not #4447) -#5997 := (not #4620) -#6400 := (or #4798 #5997 #6398 #6401) -#6402 := [th-lemma arith assign-bounds -1 1 -1]: #6400 -#6403 := [unit-resolution #6402 #6387 #6384 #6378]: #4798 -#4770 := (>= #4711 0::Int) -#4445 := (<= #4367 0::Int) -#6439 := (or #4390 #4445) -#6471 := [th-lemma arith triangle-eq]: #6439 -#6466 := [unit-resolution #6471 #6379]: #4445 -#6040 := (not #4445) -#6470 := (or #4770 #4625 #6040 #6365) -#6472 := [th-lemma arith assign-bounds -1 1 -1]: #6470 -#6473 := [unit-resolution #6472 #6331 #6466 #6322]: #4770 -#6475 := (not #4798) -#6474 := (not #4770) -#6476 := (or #4712 #6474 #6475) -#6482 := [th-lemma arith triangle-eq]: #6476 -#6571 := [unit-resolution #6482 #6473 #6403]: #4712 -#4731 := (not #4712) -#4738 := (or #4680 #4731) -#6577 := [hypothesis]: #3760 -#4741 := (or #3765 #4680 #4731) -#4645 := (+ #1755 #4315) -#4650 := (+ #4648 #4645) -#4651 := (= #4650 0::Int) -#4652 := (not #4651) -#4649 := (+ #4648 #1755) -#4644 := (>= #4649 0::Int) -#4653 := (or #4644 #4652) -#4762 := (or #3765 #4653) -#4767 := (iff #4762 #4741) -#4764 := (or #3765 #4738) -#4761 := (iff #4764 #4741) -#4766 := [rewrite]: #4761 -#4765 := (iff #4762 #4764) -#4739 := (iff #4653 #4738) -#4732 := (iff #4652 #4731) -#4735 := (iff #4651 #4712) -#4705 := (+ #4315 #4648) -#4706 := (+ #1755 #4705) -#4703 := (= #4706 0::Int) -#4733 := (iff #4703 #4712) -#4734 := [rewrite]: #4733 -#4708 := (iff #4651 #4703) -#4707 := (= #4650 #4706) -#4702 := [rewrite]: #4707 -#4709 := [monotonicity #4702]: #4708 -#4736 := [trans #4709 #4734]: #4735 -#4737 := [monotonicity #4736]: #4732 -#4683 := (iff #4644 #4680) -#4654 := (+ #1755 #4648) -#4677 := (>= #4654 0::Int) -#4681 := (iff #4677 #4680) -#4682 := [rewrite]: #4681 -#4678 := (iff #4644 #4677) -#4675 := (= #4649 #4654) -#4676 := [rewrite]: #4675 -#4673 := [monotonicity #4676]: #4678 -#4704 := [trans #4673 #4682]: #4683 -#4740 := [monotonicity #4704 #4737]: #4739 -#4760 := [monotonicity #4740]: #4765 -#4768 := [trans #4760 #4766]: #4767 -#4763 := [quant-inst #4276]: #4762 -#4769 := [mp #4763 #4768]: #4741 -#6578 := [unit-resolution #4769 #6577]: #4738 -#6579 := [unit-resolution #6578 #6571 #6369]: false -#6581 := [lemma #6579]: #6580 -#4376 := [unit-resolution #6581 #4321 #4320 #4616 #6675 #6807 #6669]: false -#4290 := [lemma #4376]: #4377 -#6958 := [unit-resolution #4290 #6764]: #1757 -#3249 := (or #3768 #1758) -#3591 := [def-axiom]: #3249 -#6954 := [unit-resolution #3591 #6958]: #3768 -#6959 := [unit-resolution #3566 #6954 #6674]: #3805 -#6960 := [unit-resolution #3284 #6959]: #3796 -#6961 := [unit-resolution #3568 #6960 #6971]: #3793 -#7266 := [unit-resolution #3299 #6961]: #1849 -#7267 := [unit-resolution #7266 #6648]: false -#7128 := [lemma #7267]: #3814 -#3407 := (or #3980 #3974) -#3408 := [def-axiom]: #3407 -#11570 := [unit-resolution #3408 #7283]: #3974 +#7156 := [unit-resolution #3404 #7155]: #3734 +#6930 := (or #3739 #6849 #1827 #6924) +#6927 := (or #6849 #1827 #6924) +#6931 := (or #3739 #6927) +#3348 := (iff #6931 #6930) +#3221 := [rewrite]: #3348 +#6932 := [quant-inst #1816 #1815]: #6931 +#4127 := [mp #6932 #3221]: #6930 +#7158 := [unit-resolution #4127 #7156 #7143]: #7157 +#7159 := [unit-resolution #7158 #7142 #7137]: false +#7161 := [lemma #7159]: #7160 +#7018 := [unit-resolution #7161 #6979 #7131 #7140 #7143 #7130 #6976]: false +#7020 := [lemma #7018]: #7019 +#6950 := [unit-resolution #7020 #6866 #6945 #6867 #6870 #6808 #6888]: false +#7021 := [lemma #6950]: #3814 #3419 := (or #3977 #3817 #3971) #3421 := [def-axiom]: #3419 -#12390 := [unit-resolution #3421 #11570]: #3974 -#11571 := [unit-resolution #12390 #7128]: #3971 -#3445 := (or #3968 #3838) -#3426 := [def-axiom]: #3445 -#11843 := [unit-resolution #3426 #11571]: #3838 +#7802 := [unit-resolution #3421 #7021 #7801]: #3971 #3459 := (or #3968 #194) #3464 := [def-axiom]: #3459 -#12662 := [unit-resolution #3464 #11571]: #194 -#3456 := (or #3968 #184) -#3457 := [def-axiom]: #3456 -#16074 := [unit-resolution #3457 #11571]: #184 -#8244 := (or #1942 #183 #715 #3843) -#8160 := (= #185 #1940) -#8155 := (= #1940 #185) -#7789 := (= ?v0!14 f28) -#7634 := (f11 f21 ?v0!14) -#7635 := (= #7634 f1) -#7795 := (or #7789 #7635) -#7768 := (f11 #193 ?v0!14) -#7786 := (= #7768 f1) -#7800 := (iff #7786 #7795) -#7803 := (or #7582 #7800) -#7790 := (if #7789 #4057 #7635) -#7791 := (iff #7786 #7790) -#7804 := (or #7582 #7791) -#7806 := (iff #7804 #7803) -#7808 := (iff #7803 #7803) -#7809 := [rewrite]: #7808 -#7801 := (iff #7791 #7800) -#7798 := (iff #7790 #7795) -#7792 := (if #7789 true #7635) -#7796 := (iff #7792 #7795) -#7797 := [rewrite]: #7796 -#7793 := (iff #7790 #7792) -#7794 := [monotonicity #4060]: #7793 -#7799 := [trans #7794 #7797]: #7798 -#7802 := [monotonicity #7799]: #7801 -#7807 := [monotonicity #7802]: #7806 -#7810 := [trans #7807 #7809]: #7806 -#7805 := [quant-inst #115 #181 #3 #1935]: #7804 -#7811 := [mp #7805 #7810]: #7803 -#7893 := [unit-resolution #7811 #3646]: #7800 -#8183 := [hypothesis]: #1943 +#8144 := [unit-resolution #3464 #7802]: #194 +#8146 := [symm #8144]: #8145 +#16380 := [monotonicity #8146]: #16289 +#16388 := [monotonicity #16380]: #16359 +#16389 := [symm #16388]: #16382 +#16391 := [monotonicity #16389]: #16390 +#19086 := [hypothesis]: #4534 +#5090 := (or #4541 #5087) +#8395 := [hypothesis]: #1943 #3547 := (or #1942 #1937) #3543 := [def-axiom]: #3547 -#8184 := [unit-resolution #3543 #8183]: #1937 -#8190 := (= #7768 #1936) -#8191 := (= #193 f29) -#8181 := [hypothesis]: #194 -#8195 := [symm #8181]: #8191 -#8196 := [monotonicity #8195]: #8190 -#8194 := [trans #8196 #8184]: #7786 -#7824 := (not #7786) -#7821 := (not #7800) -#7825 := (or #7821 #7824 #7795) -#7826 := [def-axiom]: #7825 -#8197 := [unit-resolution #7826 #8194 #7893]: #7795 -#7815 := (not #7635) -#8135 := [hypothesis]: #184 -#7618 := (* -1::Int #1940) -#7645 := (+ #185 #7618) -#8112 := (>= #7645 0::Int) -#8306 := (not #8112) -#7665 := (f5 #195 ?v0!14) -#7666 := (f4 #7665) -#7684 := (+ #7618 #7666) -#7685 := (+ #185 #7684) -#7686 := (>= #7685 0::Int) -#7740 := (not #7686) -#7667 := (* -1::Int #7666) -#7668 := (+ f3 #7667) -#7669 := (<= #7668 0::Int) -#7717 := (or #7669 #7686) -#7720 := (not #7717) +#8389 := [unit-resolution #3543 #8395]: #1937 #3548 := (not #1941) #3542 := (or #1942 #3548) #3549 := [def-axiom]: #3542 -#8200 := [unit-resolution #3549 #8183]: #3548 -#7150 := [hypothesis]: #3838 -#7726 := (or #3843 #7720 #1941) -#7670 := (+ #1146 #7667) -#7671 := (+ #1940 #7670) -#7672 := (<= #7671 0::Int) -#7714 := (or #7669 #7672) -#7715 := (not #7714) -#7716 := (or #7715 #1941) -#7727 := (or #3843 #7716) -#7734 := (iff #7727 #7726) -#7723 := (or #7720 #1941) -#7729 := (or #3843 #7723) -#7732 := (iff #7729 #7726) -#7733 := [rewrite]: #7732 -#7730 := (iff #7727 #7729) -#7724 := (iff #7716 #7723) -#7721 := (iff #7715 #7720) -#7718 := (iff #7714 #7717) -#7689 := (iff #7672 #7686) -#7677 := (+ #1940 #7667) -#7678 := (+ #1146 #7677) -#7681 := (<= #7678 0::Int) -#7687 := (iff #7681 #7686) -#7688 := [rewrite]: #7687 -#7682 := (iff #7672 #7681) -#7679 := (= #7671 #7678) -#7680 := [rewrite]: #7679 -#7683 := [monotonicity #7680]: #7682 -#7690 := [trans #7683 #7688]: #7689 -#7719 := [monotonicity #7690]: #7718 -#7722 := [monotonicity #7719]: #7721 -#7725 := [monotonicity #7722]: #7724 -#7731 := [monotonicity #7725]: #7730 -#7735 := [trans #7731 #7733]: #7734 -#7728 := [quant-inst #1935]: #7727 -#7736 := [mp #7728 #7735]: #7726 -#8203 := [unit-resolution #7736 #7150 #8200]: #7720 -#7741 := (or #7717 #7740) -#7742 := [def-axiom]: #7741 -#8251 := [unit-resolution #7742 #8203]: #7740 -#8470 := (or #8306 #7686) -#7869 := (= #7666 0::Int) -#8459 := (not #7869) -#7879 := (>= #7666 0::Int) -#8449 := (not #7879) -#8448 := [hypothesis]: #7740 -#8280 := [hypothesis]: #8112 -#8456 := (or #8449 #7686 #8306) -#8457 := [th-lemma arith assign-bounds -1 1]: #8456 -#8458 := [unit-resolution #8457 #8280 #8448]: #8449 -#8460 := (or #8459 #7879) -#8461 := [th-lemma arith triangle-eq]: #8460 -#8462 := [unit-resolution #8461 #8458]: #8459 -#7865 := (= f28 ?v0!14) -#7880 := (<= #7666 0::Int) -#8463 := (or #7880 #7686 #8306) -#8464 := [th-lemma arith assign-bounds 1 1]: #8463 -#8465 := [unit-resolution #8464 #8280 #8448]: #7880 -#7871 := (not #7880) -#7872 := (or #7865 #7871) +#8396 := [unit-resolution #3549 #8395]: #3548 +#5879 := (* -1::Int #1940) +#5980 := (+ #185 #5879) +#7760 := (>= #5980 0::Int) +#4329 := (f11 f21 ?v0!14) +#4316 := (= #4329 f1) +#4315 := (= ?v0!14 f28) +#4345 := (or #4315 #4316) +#4328 := (f11 #193 ?v0!14) +#4330 := (= #4328 f1) +#4348 := (iff #4330 #4345) +#8073 := (or #7518 #4348) +#4314 := (if #4315 #4057 #4316) +#4317 := (iff #4330 #4314) +#8074 := (or #7518 #4317) +#8078 := (iff #8074 #8073) +#8080 := (iff #8073 #8073) +#8081 := [rewrite]: #8080 +#4337 := (iff #4317 #4348) +#4344 := (iff #4314 #4345) +#4318 := (if #4315 true #4316) +#4346 := (iff #4318 #4345) +#4338 := [rewrite]: #4346 +#4319 := (iff #4314 #4318) +#4332 := [monotonicity #4060]: #4319 +#4347 := [trans #4332 #4338]: #4344 +#4349 := [monotonicity #4347]: #4337 +#8079 := [monotonicity #4349]: #8078 +#8082 := [trans #8079 #8081]: #8078 +#8077 := [quant-inst #115 #181 #3 #1935]: #8074 +#8083 := [mp #8077 #8082]: #8073 +#8113 := [unit-resolution #8083 #3646]: #4348 +#8114 := [hypothesis]: #1937 +#8147 := (= #4328 #1936) +#8148 := [monotonicity #8146]: #8147 +#8149 := [trans #8148 #8114]: #4330 +#8094 := (not #4330) +#8091 := (not #4348) +#8095 := (or #8091 #8094 #4345) +#8096 := [def-axiom]: #8095 +#8150 := [unit-resolution #8096 #8149 #8113]: #4345 +#8088 := (not #4345) +#8152 := (or #8088 #4316) +#7690 := (not #4315) +#7795 := [hypothesis]: #3548 +#7815 := (or #7690 #1941) +#7809 := (= #185 #1940) +#7807 := (= #1940 #185) +#7796 := [hypothesis]: #4315 +#7808 := [monotonicity #7796]: #7807 +#7810 := [symm #7808]: #7809 +#7811 := (= #1939 #185) +#4131 := (= #4078 #185) +#4082 := (f5 #195 f28) +#4083 := (f4 #4082) +#4101 := (>= #4083 0::Int) +#4086 := (* -1::Int #4083) +#4087 := (+ f3 #4086) +#4088 := (<= #4087 0::Int) +#4133 := (or #4088 #4101) +#6365 := (= #4083 0::Int) +#6474 := (not #6365) +#6475 := [hypothesis]: #6474 #14 := (f6 f7 #10) #15 := (f5 #14 #11) #3600 := (pattern #15) #16 := (f4 #15) -#325 := (<= #16 0::Int) -#326 := (not #325) +#17 := (= #16 0::Int) #12 := (= #10 #11) -#329 := (or #12 #326) -#3607 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #3600) #329) -#332 := (forall (vars (?v0 S2) (?v1 S2)) #329) -#3610 := (iff #332 #3607) -#3608 := (iff #329 #329) -#3609 := [refl]: #3608 -#3611 := [quant-intro #3609]: #3610 -#1486 := (~ #332 #332) -#1485 := (~ #329 #329) -#1482 := [refl]: #1485 -#1487 := [nnf-pos #1482]: #1486 -#21 := (< 0::Int #16) #20 := (not #12) -#22 := (implies #20 #21) -#23 := (forall (vars (?v0 S2) (?v1 S2)) #22) -#335 := (iff #23 #332) -#318 := (or #12 #21) -#322 := (forall (vars (?v0 S2) (?v1 S2)) #318) -#333 := (iff #322 #332) -#330 := (iff #318 #329) -#327 := (iff #21 #326) -#328 := [rewrite]: #327 -#331 := [monotonicity #328]: #330 -#334 := [quant-intro #331]: #333 -#323 := (iff #23 #322) -#320 := (iff #22 #318) -#321 := [rewrite]: #320 -#324 := [quant-intro #321]: #323 -#336 := [trans #324 #334]: #335 -#317 := [asserted]: #23 -#337 := [mp #317 #336]: #332 -#1483 := [mp~ #337 #1487]: #332 -#3612 := [mp #1483 #3611]: #3607 -#7204 := (not #3607) -#7883 := (or #7204 #7865 #7871) -#7884 := (or #7204 #7872) -#7886 := (iff #7884 #7883) -#7887 := [rewrite]: #7886 -#7885 := [quant-inst #181 #1935]: #7884 -#7888 := [mp #7885 #7887]: #7883 -#8466 := [unit-resolution #7888 #3612]: #7872 -#8467 := [unit-resolution #8466 #8465]: #7865 -#7866 := (not #7865) -#7870 := (or #7866 #7869) -#17 := (= #16 0::Int) #306 := (or #20 #17) #3601 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #3600) #306) #314 := (forall (vars (?v0 S2) (?v1 S2)) #306) @@ -4196,491 +4121,547 @@ #319 := [mp #305 #316]: #314 #1484 := [mp~ #319 #1511]: #314 #3606 := [mp #1484 #3605]: #3601 -#7193 := (not #3601) -#7873 := (or #7193 #7866 #7869) -#7874 := (or #7193 #7870) -#7876 := (iff #7874 #7873) -#7877 := [rewrite]: #7876 -#7875 := [quant-inst #181 #1935]: #7874 -#7878 := [mp #7875 #7877]: #7873 -#8468 := [unit-resolution #7878 #3606]: #7870 -#8469 := [unit-resolution #8468 #8467 #8462]: false -#8471 := [lemma #8469]: #8470 -#8252 := [unit-resolution #8471 #8251]: #8306 -#8185 := (or #7815 #183 #8112) -#8103 := [hypothesis]: #8306 -#8110 := [hypothesis]: #7635 +#6226 := (not #3601) +#6401 := (or #6226 #6365) +#4403 := (= f28 f28) +#6358 := (not #4403) +#6369 := (or #6358 #6365) +#6400 := (or #6226 #6369) +#6403 := (iff #6400 #6401) +#6471 := (iff #6401 #6401) +#6466 := [rewrite]: #6471 +#6387 := (iff #6369 #6365) +#6377 := (or false #6365) +#6382 := (iff #6377 #6365) +#6386 := [rewrite]: #6382 +#6383 := (iff #6369 #6377) +#6378 := (iff #6358 false) +#6370 := (iff #6358 #6910) +#4406 := (iff #4403 true) +#4407 := [rewrite]: #4406 +#6375 := [monotonicity #4407]: #6370 +#6379 := [trans #6375 #6914]: #6378 +#6384 := [monotonicity #6379]: #6383 +#6398 := [trans #6384 #6386]: #6387 +#6439 := [monotonicity #6398]: #6403 +#6470 := [trans #6439 #6466]: #6403 +#6402 := [quant-inst #181 #181]: #6400 +#6472 := [mp #6402 #6470]: #6401 +#6476 := [unit-resolution #6472 #3606 #6475]: false +#6482 := [lemma #6476]: #6365 +#7797 := (or #6474 #4101) +#7798 := [th-lemma arith triangle-eq]: #7797 +#7799 := [unit-resolution #7798 #6482]: #4101 +#7285 := (not #4101) +#7283 := (or #4133 #7285) +#7286 := [def-axiom]: #7283 +#7800 := [unit-resolution #7286 #7799]: #4133 +#3445 := (or #3968 #3838) +#3426 := [def-axiom]: #3445 +#7803 := [unit-resolution #3426 #7802]: #3838 +#4136 := (not #4133) +#7259 := (or #3843 #4136 #4131) +#4089 := (+ #1146 #4086) +#4090 := (+ #185 #4089) +#4091 := (<= #4090 0::Int) +#4129 := (or #4088 #4091) +#4130 := (not #4129) +#4132 := (or #4130 #4131) +#7260 := (or #3843 #4132) +#7266 := (iff #7260 #7259) +#4139 := (or #4136 #4131) +#7262 := (or #3843 #4139) +#7265 := (iff #7262 #7259) +#7261 := [rewrite]: #7265 +#7263 := (iff #7260 #7262) +#4140 := (iff #4132 #4139) +#4137 := (iff #4130 #4136) +#4134 := (iff #4129 #4133) +#4104 := (iff #4091 #4101) +#4098 := (<= #4086 0::Int) +#4102 := (iff #4098 #4101) +#4103 := [rewrite]: #4102 +#4099 := (iff #4091 #4098) +#4096 := (= #4090 #4086) +#4097 := [rewrite]: #4096 +#4100 := [monotonicity #4097]: #4099 +#4105 := [trans #4100 #4103]: #4104 +#4135 := [monotonicity #4105]: #4134 +#4138 := [monotonicity #4135]: #4137 +#4141 := [monotonicity #4138]: #4140 +#7264 := [monotonicity #4141]: #7263 +#7271 := [trans #7264 #7261]: #7266 +#7256 := [quant-inst #181]: #7260 +#7272 := [mp #7256 #7271]: #7259 +#7804 := [unit-resolution #7272 #7803 #7800]: #4131 +#7805 := (= #1939 #4078) +#7806 := [monotonicity #7796]: #7805 +#7812 := [trans #7806 #7804]: #7811 +#7813 := [trans #7812 #7810]: #1941 +#7814 := [unit-resolution #7795 #7813]: false +#7816 := [lemma #7814]: #7815 +#8151 := [unit-resolution #7816 #7795]: #7690 +#8089 := (or #8088 #4315 #4316) +#8090 := [def-axiom]: #8089 +#8153 := [unit-resolution #8090 #8151]: #8152 +#8154 := [unit-resolution #8153 #8150]: #4316 +#3456 := (or #3968 #184) +#3457 := [def-axiom]: #3456 +#8155 := [unit-resolution #3457 #7802]: #184 #3443 := (or #3980 #3726) #3398 := [def-axiom]: #3443 -#8136 := [unit-resolution #3398 #7283]: #3726 -#7958 := (or #3731 #183 #7815 #8112) -#8113 := (or #183 #7815 #8112) -#7991 := (or #3731 #8113) -#8023 := (iff #7991 #7958) -#8024 := [rewrite]: #8023 -#7992 := [quant-inst #1935 #181]: #7991 -#8115 := [mp #7992 #8024]: #7958 -#8182 := [unit-resolution #8115 #8136 #8135 #8110 #8103]: false -#8186 := [lemma #8182]: #8185 -#8253 := [unit-resolution #8186 #8252 #8135]: #7815 -#7818 := (not #7795) -#7819 := (or #7818 #7789 #7635) -#7820 := [def-axiom]: #7819 -#8254 := [unit-resolution #7820 #8253 #8197]: #7789 -#8255 := [monotonicity #8254]: #8155 -#8250 := [symm #8255]: #8160 -#8256 := (not #8160) -#8257 := (or #8256 #8112) -#8258 := [th-lemma arith triangle-eq]: #8257 -#8243 := [unit-resolution #8258 #8252 #8250]: false -#8281 := [lemma #8243]: #8244 -#16076 := [unit-resolution #8281 #16074 #12662 #11843]: #1942 +#8156 := [unit-resolution #3398 #7155]: #3726 +#7693 := (not #4316) +#8138 := (or #3731 #183 #7693 #7760) +#7761 := (or #183 #7693 #7760) +#8139 := (or #3731 #7761) +#8141 := (iff #8139 #8138) +#8142 := [rewrite]: #8141 +#8140 := [quant-inst #1935 #181]: #8139 +#8143 := [mp #8140 #8142]: #8138 +#8157 := [unit-resolution #8143 #8156 #8155 #8154]: #7760 +#6005 := (f5 #195 ?v0!14) +#6011 := (f4 #6005) +#6036 := (+ #5879 #6011) +#6037 := (+ #185 #6036) +#6038 := (>= #6037 0::Int) +#8046 := (not #6038) +#6012 := (* -1::Int #6011) +#6010 := (+ f3 #6012) +#6014 := (<= #6010 0::Int) +#6049 := (or #6014 #6038) +#6056 := (not #6049) +#8032 := (or #3843 #6056 #1941) +#6015 := (+ #1146 #6012) +#6013 := (+ #1940 #6015) +#6017 := (<= #6013 0::Int) +#6051 := (or #6014 #6017) +#6052 := (not #6051) +#6054 := (or #6052 #1941) +#8033 := (or #3843 #6054) +#8040 := (iff #8033 #8032) +#6067 := (or #6056 #1941) +#8035 := (or #3843 #6067) +#8038 := (iff #8035 #8032) +#8039 := [rewrite]: #8038 +#8036 := (iff #8033 #8035) +#6068 := (iff #6054 #6067) +#6057 := (iff #6052 #6056) +#6055 := (iff #6051 #6049) +#6043 := (iff #6017 #6038) +#6027 := (+ #1940 #6012) +#6030 := (+ #1146 #6027) +#6034 := (<= #6030 0::Int) +#6039 := (iff #6034 #6038) +#6040 := [rewrite]: #6039 +#6035 := (iff #6017 #6034) +#6031 := (= #6013 #6030) +#6032 := [rewrite]: #6031 +#6033 := [monotonicity #6032]: #6035 +#6044 := [trans #6033 #6040]: #6043 +#6053 := [monotonicity #6044]: #6055 +#6058 := [monotonicity #6053]: #6057 +#6045 := [monotonicity #6058]: #6068 +#8037 := [monotonicity #6045]: #8036 +#8041 := [trans #8037 #8039]: #8040 +#8034 := [quant-inst #1935]: #8033 +#8042 := [mp #8034 #8041]: #8032 +#8158 := [unit-resolution #8042 #7803 #7795]: #6056 +#8047 := (or #6049 #8046) +#8048 := [def-axiom]: #8047 +#8159 := [unit-resolution #8048 #8158]: #8046 +#8125 := (>= #6011 0::Int) +#6251 := (<= #6011 0::Int) +#6224 := (not #6251) +#6208 := (= f28 ?v0!14) +#6209 := (not #6208) +#8164 := (iff #7690 #6209) +#8162 := (iff #4315 #6208) +#8160 := (iff #6208 #4315) +#8161 := [commutativity]: #8160 +#8163 := [symm #8161]: #8162 +#8165 := [monotonicity #8163]: #8164 +#8166 := [mp #8151 #8165]: #6209 +#6225 := (or #6208 #6224) +#325 := (<= #16 0::Int) +#326 := (not #325) +#329 := (or #12 #326) +#3607 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #3600) #329) +#332 := (forall (vars (?v0 S2) (?v1 S2)) #329) +#3610 := (iff #332 #3607) +#3608 := (iff #329 #329) +#3609 := [refl]: #3608 +#3611 := [quant-intro #3609]: #3610 +#1486 := (~ #332 #332) +#1485 := (~ #329 #329) +#1482 := [refl]: #1485 +#1487 := [nnf-pos #1482]: #1486 +#21 := (< 0::Int #16) +#22 := (implies #20 #21) +#23 := (forall (vars (?v0 S2) (?v1 S2)) #22) +#335 := (iff #23 #332) +#318 := (or #12 #21) +#322 := (forall (vars (?v0 S2) (?v1 S2)) #318) +#333 := (iff #322 #332) +#330 := (iff #318 #329) +#327 := (iff #21 #326) +#328 := [rewrite]: #327 +#331 := [monotonicity #328]: #330 +#334 := [quant-intro #331]: #333 +#323 := (iff #23 #322) +#320 := (iff #22 #318) +#321 := [rewrite]: #320 +#324 := [quant-intro #321]: #323 +#336 := [trans #324 #334]: #335 +#317 := [asserted]: #23 +#337 := [mp #317 #336]: #332 +#1483 := [mp~ #337 #1487]: #332 +#3612 := [mp #1483 #3611]: #3607 +#7600 := (not #3607) +#8126 := (or #7600 #6208 #6224) +#8127 := (or #7600 #6225) +#8129 := (iff #8127 #8126) +#8130 := [rewrite]: #8129 +#8128 := [quant-inst #181 #1935]: #8127 +#8131 := [mp #8128 #8130]: #8126 +#8167 := [unit-resolution #8131 #3612]: #6225 +#8168 := [unit-resolution #8167 #8166]: #6224 +#8169 := (or #8125 #6251) +#8170 := [th-lemma arith farkas 1 1]: #8169 +#8171 := [unit-resolution #8170 #8168]: #8125 +#8172 := [th-lemma arith farkas 1 -1 1 #8171 #8159 #8157]: false +#8173 := [lemma #8172]: #1942 +#8376 := [unit-resolution #8173 #8396 #8389]: false +#8397 := [lemma #8376]: #1942 #3450 := (or #3968 #3962) #3451 := [def-axiom]: #3450 -#11686 := [unit-resolution #3451 #11571]: #3962 +#7966 := [unit-resolution #3451 #7802]: #3962 #3444 := (or #3968 #3830) #3390 := [def-axiom]: #3444 -#12531 := [unit-resolution #3390 #11571]: #3830 -#7166 := (or #1922 #3835 #3843) -#7014 := (f5 #195 ?v0!13) -#7015 := (f4 #7014) -#7040 := (+ #1920 #7015) -#7041 := (+ #185 #7040) -#7061 := (>= #7041 0::Int) -#7044 := (= #7041 0::Int) -#7016 := (* -1::Int #7015) -#7017 := (+ f3 #7016) -#7018 := (<= #7017 0::Int) -#7087 := (not #7018) -#6993 := (* -1::Int #1918) -#7033 := (+ #6993 #7015) -#7034 := (+ #185 #7033) -#7035 := (>= #7034 0::Int) -#7067 := (or #7018 #7035) -#7070 := (not #7067) -#7065 := (= #1919 #1918) -#7146 := (not #7065) -#7095 := (= #1918 #1919) -#7138 := (not #7095) -#7147 := (iff #7138 #7146) -#7144 := (iff #7095 #7065) -#7145 := [commutativity]: #7144 -#7148 := [monotonicity #7145]: #7147 -#7120 := [hypothesis]: #1923 -#7141 := (or #7138 #1922) -#7142 := [th-lemma arith triangle-eq]: #7141 -#7143 := [unit-resolution #7142 #7120]: #7138 -#7149 := [mp #7143 #7148]: #7146 -#7073 := (or #7070 #7065) -#7076 := (or #3843 #7070 #7065) -#7019 := (+ #1146 #7016) -#7020 := (+ #1918 #7019) -#7021 := (<= #7020 0::Int) -#7063 := (or #7018 #7021) -#7064 := (not #7063) -#7066 := (or #7064 #7065) -#7077 := (or #3843 #7066) -#7084 := (iff #7077 #7076) -#7079 := (or #3843 #7073) -#7082 := (iff #7079 #7076) -#7083 := [rewrite]: #7082 -#7080 := (iff #7077 #7079) -#7074 := (iff #7066 #7073) -#7071 := (iff #7064 #7070) -#7068 := (iff #7063 #7067) -#7038 := (iff #7021 #7035) -#7026 := (+ #1918 #7016) -#7027 := (+ #1146 #7026) -#7030 := (<= #7027 0::Int) -#7036 := (iff #7030 #7035) -#7037 := [rewrite]: #7036 -#7031 := (iff #7021 #7030) -#7028 := (= #7020 #7027) -#7029 := [rewrite]: #7028 -#7032 := [monotonicity #7029]: #7031 -#7039 := [trans #7032 #7037]: #7038 -#7069 := [monotonicity #7039]: #7068 -#7072 := [monotonicity #7069]: #7071 -#7075 := [monotonicity #7072]: #7074 -#7081 := [monotonicity #7075]: #7080 -#7085 := [trans #7081 #7083]: #7084 -#7078 := [quant-inst #1917]: #7077 -#7086 := [mp #7078 #7085]: #7076 -#7151 := [unit-resolution #7086 #7150]: #7073 -#7152 := [unit-resolution #7151 #7149]: #7070 -#7088 := (or #7067 #7087) -#7089 := [def-axiom]: #7088 -#7153 := [unit-resolution #7089 #7152]: #7087 -#7090 := (not #7035) -#7091 := (or #7067 #7090) -#7092 := [def-axiom]: #7091 -#7154 := [unit-resolution #7092 #7152]: #7090 -#7047 := (or #7018 #7035 #7044) -#7155 := [hypothesis]: #3830 -#7050 := (or #3835 #7018 #7035 #7044) -#7022 := (+ #7015 #1920) -#7023 := (+ #185 #7022) -#7024 := (= #7023 0::Int) -#7025 := (or #7018 #7021 #7024) -#7051 := (or #3835 #7025) -#7058 := (iff #7051 #7050) -#7053 := (or #3835 #7047) -#7056 := (iff #7053 #7050) -#7057 := [rewrite]: #7056 -#7054 := (iff #7051 #7053) -#7048 := (iff #7025 #7047) -#7045 := (iff #7024 #7044) -#7042 := (= #7023 #7041) -#7043 := [rewrite]: #7042 -#7046 := [monotonicity #7043]: #7045 -#7049 := [monotonicity #7039 #7046]: #7048 -#7055 := [monotonicity #7049]: #7054 -#7059 := [trans #7055 #7057]: #7058 -#7052 := [quant-inst #1917]: #7051 -#7060 := [mp #7052 #7059]: #7050 -#7156 := [unit-resolution #7060 #7155]: #7047 -#7157 := [unit-resolution #7156 #7154 #7153]: #7044 -#7158 := (not #7044) -#7159 := (or #7158 #7061) -#7160 := [th-lemma arith triangle-eq]: #7159 -#7161 := [unit-resolution #7160 #7157]: #7061 -#7096 := (<= #1921 0::Int) -#7162 := (or #7096 #1922) -#7163 := [th-lemma arith farkas 1 1]: #7162 -#7164 := [unit-resolution #7163 #7120]: #7096 -#7165 := [th-lemma arith farkas 1 -1 1 #7164 #7154 #7161]: false -#7167 := [lemma #7165]: #7166 -#12440 := [unit-resolution #7167 #11843 #12531]: #1922 +#7967 := [unit-resolution #3390 #7802]: #3830 +#5748 := (or #1922 #3835 #3843) +#4760 := (f5 #195 ?v0!13) +#4761 := (f4 #4760) +#4791 := (+ #1920 #4761) +#4792 := (+ #185 #4791) +#4951 := (>= #4792 0::Int) +#4794 := (= #4792 0::Int) +#4766 := (* -1::Int #4761) +#4767 := (+ f3 #4766) +#4768 := (<= #4767 0::Int) +#5036 := (not #4768) +#4703 := (* -1::Int #1918) +#4881 := (+ #4703 #4761) +#4879 := (+ #185 #4881) +#4882 := (>= #4879 0::Int) +#4975 := (or #4768 #4882) +#4979 := (not #4975) +#4945 := (= #1919 #1918) +#5470 := (not #4945) +#5031 := (= #1918 #1919) +#5429 := (not #5031) +#5471 := (iff #5429 #5470) +#5469 := (iff #5031 #4945) +#5468 := [commutativity]: #5469 +#5472 := [monotonicity #5468]: #5471 +#5428 := [hypothesis]: #1923 +#5431 := (or #5429 #1922) +#5467 := [th-lemma arith triangle-eq]: #5431 +#5466 := [unit-resolution #5467 #5428]: #5429 +#5474 := [mp #5466 #5472]: #5470 +#4981 := (or #4979 #4945) +#5494 := [hypothesis]: #3838 +#4983 := (or #3843 #4979 #4945) +#4769 := (+ #1146 #4766) +#4770 := (+ #1918 #4769) +#4798 := (<= #4770 0::Int) +#4954 := (or #4768 #4798) +#4955 := (not #4954) +#4974 := (or #4955 #4945) +#5002 := (or #3843 #4974) +#5074 := (iff #5002 #4983) +#5004 := (or #3843 #4981) +#5066 := (iff #5004 #4983) +#5067 := [rewrite]: #5066 +#5064 := (iff #5002 #5004) +#4977 := (iff #4974 #4981) +#4980 := (iff #4955 #4979) +#4976 := (iff #4954 #4975) +#4889 := (iff #4798 #4882) +#4871 := (+ #1918 #4766) +#4872 := (+ #1146 #4871) +#4874 := (<= #4872 0::Int) +#4883 := (iff #4874 #4882) +#4884 := [rewrite]: #4883 +#4875 := (iff #4798 #4874) +#4870 := (= #4770 #4872) +#4873 := [rewrite]: #4870 +#4880 := [monotonicity #4873]: #4875 +#4890 := [trans #4880 #4884]: #4889 +#4978 := [monotonicity #4890]: #4976 +#4973 := [monotonicity #4978]: #4980 +#4982 := [monotonicity #4973]: #4977 +#5065 := [monotonicity #4982]: #5064 +#5075 := [trans #5065 #5067]: #5074 +#5003 := [quant-inst #1917]: #5002 +#5035 := [mp #5003 #5075]: #4983 +#5473 := [unit-resolution #5035 #5494]: #4981 +#5495 := [unit-resolution #5473 #5474]: #4979 +#5008 := (or #4975 #5036) +#5009 := [def-axiom]: #5008 +#5496 := [unit-resolution #5009 #5495]: #5036 +#5005 := (not #4882) +#5010 := (or #4975 #5005) +#5011 := [def-axiom]: #5010 +#5497 := [unit-resolution #5011 #5495]: #5005 +#4796 := (or #4768 #4882 #4794) +#5498 := [hypothesis]: #3830 +#4854 := (or #3835 #4768 #4882 #4794) +#4799 := (+ #4761 #1920) +#4864 := (+ #185 #4799) +#4865 := (= #4864 0::Int) +#4866 := (or #4768 #4798 #4865) +#4852 := (or #3835 #4866) +#4863 := (iff #4852 #4854) +#4855 := (or #3835 #4796) +#4857 := (iff #4855 #4854) +#4862 := [rewrite]: #4857 +#4888 := (iff #4852 #4855) +#4797 := (iff #4866 #4796) +#4789 := (iff #4865 #4794) +#4790 := (= #4864 #4792) +#4793 := [rewrite]: #4790 +#4795 := [monotonicity #4793]: #4789 +#4891 := [monotonicity #4890 #4795]: #4797 +#4856 := [monotonicity #4891]: #4888 +#4861 := [trans #4856 #4862]: #4863 +#4853 := [quant-inst #1917]: #4852 +#4952 := [mp #4853 #4861]: #4854 +#5493 := [unit-resolution #4952 #5498]: #4796 +#5450 := [unit-resolution #5493 #5497 #5496]: #4794 +#5424 := (not #4794) +#5366 := (or #5424 #4951) +#5425 := [th-lemma arith triangle-eq]: #5366 +#5423 := [unit-resolution #5425 #5450]: #4951 +#5032 := (<= #1921 0::Int) +#5426 := (or #5032 #1922) +#5743 := [th-lemma arith farkas 1 1]: #5426 +#5746 := [unit-resolution #5743 #5428]: #5032 +#5747 := [th-lemma arith farkas 1 -1 1 #5746 #5497 #5423]: false +#5749 := [lemma #5747]: #5748 +#7968 := [unit-resolution #5749 #7803 #7967]: #1922 #3449 := (or #3965 #1923 #3959) #3342 := [def-axiom]: #3449 -#12444 := [unit-resolution #3342 #12440 #11686]: #3959 +#7969 := [unit-resolution #3342 #7968 #7966]: #3959 #3470 := (or #3956 #3950) #3471 := [def-axiom]: #3470 -#16077 := [unit-resolution #3471 #12444]: #3950 +#10050 := [unit-resolution #3471 #7969]: #3950 #3469 := (or #3953 #1943 #3947) #3465 := [def-axiom]: #3469 -#16078 := [unit-resolution #3465 #16077 #16076]: #3947 +#10051 := [unit-resolution #3465 #10050]: #3950 +#10052 := [unit-resolution #10051 #8397]: #3947 #3497 := (or #3944 #3855) #3475 := [def-axiom]: #3497 -#16079 := [unit-resolution #3475 #16078]: #3855 +#10053 := [unit-resolution #3475 #10052]: #3855 +#10974 := (or #3860 #4541 #5087) +#11004 := (or #3860 #5090) +#10996 := (iff #11004 #10974) +#11018 := [rewrite]: #10996 +#10999 := [quant-inst #2034]: #11004 +#11019 := [mp #10999 #11018]: #10974 +#19095 := [unit-resolution #11019 #10053]: #5090 +#19096 := [unit-resolution #19095 #19086]: #5087 +#11867 := (not #5087) +#11974 := (or #11867 #12022) +#12636 := [th-lemma arith triangle-eq]: #11974 +#19097 := [unit-resolution #12636 #19096]: #12022 +#13344 := (+ #5343 #13327) +#13366 := (>= #13344 0::Int) #3466 := (or #3956 #3846) #3467 := [def-axiom]: #3466 -#12445 := [unit-resolution #3467 #12444]: #3846 -#3462 := (or #3968 #3820) -#3463 := [def-axiom]: #3462 -#16073 := [unit-resolution #3463 #11571]: #3820 -#13737 := (or #2911 #3835 #2011 #3825 #715 #3851 #3860) -#6483 := (f5 #195 ?v0!19) -#6481 := (f4 #6483) -#6484 := (* -1::Int #6481) -#6485 := (+ f3 #6484) -#6486 := (<= #6485 0::Int) -#11078 := (not #6486) -#13920 := [hypothesis]: #2012 -#11308 := (+ #2008 #6484) -#11417 := (>= #11308 0::Int) -#11979 := (= #2008 #6481) -#13702 := (= #2007 #6483) -#13700 := (= #2006 #195) -#5405 := (= ?v1!18 f28) -#5408 := (f11 f21 ?v1!18) -#5409 := (= #5408 f1) -#6623 := (not #5409) -#6374 := (f19 f20 ?v0!19) -#6445 := (* -1::Int #6374) -#5362 := (f19 f20 ?v1!18) -#6639 := (+ #5362 #6445) -#6640 := (+ #2008 #6639) -#6641 := (>= #6640 0::Int) -#13671 := (not #6641) -#6446 := (+ #2016 #6445) -#6447 := (<= #6446 0::Int) -#9800 := [hypothesis]: #3846 -#13118 := (or #3851 #6447) -#6389 := (+ #6374 #2017) -#6399 := (>= #6389 0::Int) -#13113 := (or #3851 #6399) -#13202 := (iff #13113 #13118) -#13233 := (iff #13118 #13118) -#13203 := [rewrite]: #13233 -#6468 := (iff #6399 #6447) -#6440 := (+ #2017 #6374) -#6443 := (>= #6440 0::Int) -#6448 := (iff #6443 #6447) -#6467 := [rewrite]: #6448 -#6438 := (iff #6399 #6443) -#6441 := (= #6389 #6440) -#6442 := [rewrite]: #6441 -#6444 := [monotonicity #6442]: #6438 -#6469 := [trans #6444 #6467]: #6468 -#13232 := [monotonicity #6469]: #13202 -#13234 := [trans #13232 #13203]: #13202 -#13204 := [quant-inst #2003]: #13113 -#13235 := [mp #13204 #13234]: #13118 -#13612 := [unit-resolution #13235 #9800]: #6447 -#3418 := (not #2020) -#3433 := (or #2911 #3418) -#3435 := [def-axiom]: #3433 -#13665 := [unit-resolution #3435 #13632]: #3418 -#5459 := (* -1::Int #5362) -#5460 := (+ #2015 #5459) -#10452 := (>= #5460 0::Int) -#5380 := (= #2015 #5362) -#3434 := (or #2911 #2005) -#3529 := [def-axiom]: #3434 -#13666 := [unit-resolution #3529 #13632]: #2005 -#8627 := [hypothesis]: #3855 -#12607 := (or #3860 #2896 #5380) -#5383 := (or #2896 #5380) -#12544 := (or #3860 #5383) -#12541 := (iff #12544 #12607) -#12546 := [rewrite]: #12541 -#12545 := [quant-inst #2002]: #12544 -#12601 := [mp #12545 #12546]: #12607 -#13667 := [unit-resolution #12601 #8627 #13666]: #5380 -#13662 := (not #5380) -#13668 := (or #13662 #10452) -#13669 := [th-lemma arith triangle-eq]: #13668 -#13670 := [unit-resolution #13669 #13667]: #10452 -#13677 := (not #10452) -#13672 := (not #6447) -#13678 := (or #13671 #13672 #2020 #13677) -#13681 := [th-lemma arith assign-bounds -1 -1 1]: #13678 -#13682 := [unit-resolution #13681 #13670 #13665 #13612]: #13671 -#13688 := (or #6623 #6641) -#13159 := (or #3739 #6623 #2011 #6641) -#6642 := (or #6623 #2011 #6641) -#13288 := (or #3739 #6642) -#13294 := (iff #13288 #13159) -#13198 := [rewrite]: #13294 -#13289 := [quant-inst #2003 #2002]: #13288 -#13295 := [mp #13289 #13198]: #13159 -#13689 := [unit-resolution #13295 #7465 #13920]: #13688 -#13687 := [unit-resolution #13689 #13682]: #6623 -#5415 := (or #5405 #5409) -#5397 := (f11 #193 ?v1!18) -#5398 := (= #5397 f1) -#5420 := (iff #5398 #5415) -#12447 := (or #7582 #5420) -#5410 := (if #5405 #4057 #5409) -#5411 := (iff #5398 #5410) -#12452 := (or #7582 #5411) -#12581 := (iff #12452 #12447) -#12632 := (iff #12447 #12447) -#12611 := [rewrite]: #12632 -#5421 := (iff #5411 #5420) -#5418 := (iff #5410 #5415) -#5412 := (if #5405 true #5409) -#5416 := (iff #5412 #5415) -#5417 := [rewrite]: #5416 -#5413 := (iff #5410 #5412) -#5414 := [monotonicity #4060]: #5413 -#5419 := [trans #5414 #5417]: #5418 -#5422 := [monotonicity #5419]: #5421 -#12631 := [monotonicity #5422]: #12581 -#12635 := [trans #12631 #12611]: #12581 -#12580 := [quant-inst #115 #181 #3 #2002]: #12452 -#12638 := [mp #12580 #12635]: #12447 -#13690 := [unit-resolution #12638 #3646]: #5420 -#13691 := (= #5397 #2004) -#13692 := [monotonicity #8195]: #13691 -#13698 := [trans #13692 #13666]: #5398 -#12683 := (not #5398) -#12670 := (not #5420) -#12681 := (or #12670 #12683 #5415) -#12704 := [def-axiom]: #12681 -#13699 := [unit-resolution #12704 #13698 #13690]: #5415 -#12666 := (not #5415) -#12667 := (or #12666 #5405 #5409) -#12660 := [def-axiom]: #12667 -#13697 := [unit-resolution #12660 #13699 #13687]: #5405 -#13701 := [monotonicity #13697]: #13700 -#13707 := [monotonicity #13701]: #13702 -#13708 := [monotonicity #13707]: #11979 -#13706 := (not #11979) -#13709 := (or #13706 #11417) -#13710 := [th-lemma arith triangle-eq]: #13709 -#13711 := [unit-resolution #13710 #13708]: #11417 -#13941 := (not #11417) -#13942 := (or #11078 #13941 #2011) -#13921 := [hypothesis]: #11417 -#13939 := [hypothesis]: #6486 -#13940 := [th-lemma arith farkas -1 1 1 #13939 #13921 #13920]: false -#13943 := [lemma #13940]: #13942 -#13716 := [unit-resolution #13943 #13711 #13920]: #11078 -#6511 := (+ #6445 #6481) -#6509 := (+ #185 #6511) -#6512 := (>= #6509 0::Int) -#13270 := (not #6512) -#5484 := (+ #185 #5459) -#5485 := (<= #5484 0::Int) -#9764 := [hypothesis]: #3820 -#13305 := (or #3825 #5409 #5485) -#5475 := (+ #5362 #1146) -#5476 := (>= #5475 0::Int) -#5477 := (or #5409 #5476) -#13306 := (or #3825 #5477) -#12884 := (iff #13306 #13305) -#5490 := (or #5409 #5485) -#13352 := (or #3825 #5490) -#13421 := (iff #13352 #13305) -#13422 := [rewrite]: #13421 -#13353 := (iff #13306 #13352) -#5491 := (iff #5477 #5490) -#5488 := (iff #5476 #5485) -#5478 := (+ #1146 #5362) -#5481 := (>= #5478 0::Int) -#5486 := (iff #5481 #5485) -#5487 := [rewrite]: #5486 -#5482 := (iff #5476 #5481) -#5479 := (= #5475 #5478) -#5480 := [rewrite]: #5479 -#5483 := [monotonicity #5480]: #5482 -#5489 := [trans #5483 #5487]: #5488 -#5492 := [monotonicity #5489]: #5491 -#13417 := [monotonicity #5492]: #13353 -#13411 := [trans #13417 #13422]: #12884 -#13351 := [quant-inst #2002]: #13306 -#13416 := [mp #13351 #13411]: #13305 -#13717 := [unit-resolution #13416 #9764 #13687]: #5485 -#13715 := (not #5485) -#13718 := (or #13270 #13672 #2020 #13941 #13677 #13715) -#13719 := [th-lemma arith assign-bounds -1 -1 1 1 -1]: #13718 -#13720 := [unit-resolution #13719 #13612 #13670 #13711 #13665 #13717]: #13270 -#6610 := (+ #2017 #6481) -#6611 := (+ #185 #6610) -#6614 := (= #6611 0::Int) -#13728 := (not #6614) -#13284 := (>= #6611 0::Int) -#13725 := (not #13284) -#13726 := (or #13725 #2020 #13941 #13677 #13715) -#13724 := [th-lemma arith assign-bounds -1 1 1 -1]: #13726 -#13727 := [unit-resolution #13724 #13670 #13711 #13665 #13717]: #13725 -#13729 := (or #13728 #13284) -#13734 := [th-lemma arith triangle-eq]: #13729 -#13735 := [unit-resolution #13734 #13727]: #13728 -#5073 := (or #6486 #6512 #6614) -#13275 := (or #3835 #6486 #6512 #6614) -#6607 := (+ #6481 #2017) -#6608 := (+ #185 #6607) -#6609 := (= #6608 0::Int) -#6491 := (+ #1146 #6484) -#6492 := (+ #6374 #6491) -#6490 := (<= #6492 0::Int) -#6604 := (or #6486 #6490 #6609) -#13279 := (or #3835 #6604) -#13240 := (iff #13279 #13275) -#13231 := (or #3835 #5073) -#13239 := (iff #13231 #13275) -#13241 := [rewrite]: #13239 -#13175 := (iff #13279 #13231) -#5263 := (iff #6604 #5073) -#5033 := (iff #6609 #6614) -#6612 := (= #6608 #6611) -#6613 := [rewrite]: #6612 -#5034 := [monotonicity #6613]: #5033 -#6529 := (iff #6490 #6512) -#6499 := (+ #6374 #6484) -#6500 := (+ #1146 #6499) -#6502 := (<= #6500 0::Int) -#6513 := (iff #6502 #6512) -#6514 := [rewrite]: #6513 -#6503 := (iff #6490 #6502) -#6498 := (= #6492 #6500) -#6501 := [rewrite]: #6498 -#6510 := [monotonicity #6501]: #6503 -#6530 := [trans #6510 #6514]: #6529 -#5264 := [monotonicity #6530 #5034]: #5263 -#13238 := [monotonicity #5264]: #13175 -#13247 := [trans #13238 #13241]: #13240 -#13195 := [quant-inst #2003]: #13279 -#13246 := [mp #13195 #13247]: #13275 -#13733 := [unit-resolution #13246 #7155]: #5073 -#13736 := [unit-resolution #13733 #13735 #13720 #13716]: false -#13738 := [lemma #13736]: #13737 -#10281 := [unit-resolution #13738 #12531 #16073 #12662 #12445 #16079]: #10298 -#10260 := [unit-resolution #10281 #10274 #13632]: false -#10279 := [lemma #10260]: #2911 -#9810 := (or #2865 #3835 #3843 #183 #3825 #715 #3851) +#7970 := [unit-resolution #3467 #7969]: #3846 +#18080 := (or #3851 #13366) +#18086 := [quant-inst #5342]: #18080 +#19087 := [unit-resolution #18086 #7970]: #13366 +#15969 := (not #12022) +#19098 := (or #15968 #15969) +#3538 := (not #1988) +#5971 := [hypothesis]: #2870 +#3541 := (or #2865 #3538) +#3425 := [def-axiom]: #3541 +#5972 := [unit-resolution #3425 #5971]: #3538 +#3536 := (or #2865 #1979) +#3539 := [def-axiom]: #3536 +#5974 := [unit-resolution #3539 #5971]: #1979 +#3537 := (or #2865 #1981) +#3540 := [def-axiom]: #3537 +#5973 := [unit-resolution #3540 #5971]: #1981 +#10629 := (or #2850 #1988 #1978) #5727 := (= ?v1!16 f28) -#10217 := (= f28 ?v1!16) +#9301 := (= f28 ?v1!16) #5888 := (f5 #195 ?v1!16) #5889 := (f4 #5888) -#10218 := (<= #5889 0::Int) -#4078 := (f30 f28) -#4079 := (* -1::Int #4078) -#4080 := (+ #185 #4079) -#4081 := (>= #4080 0::Int) -#6973 := (or #3851 #4081) -#6974 := [quant-inst #181]: #6973 -#9804 := [unit-resolution #6974 #9800]: #4081 -#5837 := (+ #1984 #4079) -#5838 := (>= #5837 0::Int) -#9768 := (not #5838) +#9302 := (<= #5889 0::Int) +#9711 := [hypothesis]: #3538 #5985 := (+ #1985 #4079) -#10128 := (<= #5985 0::Int) -#9482 := (= #1985 #4078) -#5679 := (= ?v0!17 f28) +#9236 := (<= #5985 0::Int) #5682 := (f11 f21 ?v0!17) #5683 := (= #5682 f1) -#5689 := (or #5679 #5683) +#5681 := (= ?v0!17 f28) +#5689 := (or #5681 #5683) #5671 := (f11 #193 ?v0!17) #5672 := (= #5671 f1) #5694 := (iff #5672 #5689) -#8841 := (or #7582 #5694) -#5684 := (if #5679 #4057 #5683) +#9981 := (or #7518 #5694) +#5684 := (if #5681 #4057 #5683) #5685 := (iff #5672 #5684) -#8901 := (or #7582 #5685) -#8884 := (iff #8901 #8841) -#8882 := (iff #8841 #8841) -#8885 := [rewrite]: #8882 +#9982 := (or #7518 #5685) +#9550 := (iff #9982 #9981) +#9683 := (iff #9981 #9981) +#9737 := [rewrite]: #9683 #5695 := (iff #5685 #5694) #5692 := (iff #5684 #5689) -#5686 := (if #5679 true #5683) +#5686 := (if #5681 true #5683) #5690 := (iff #5686 #5689) #5691 := [rewrite]: #5690 #5687 := (iff #5684 #5686) #5688 := [monotonicity #4060]: #5687 #5693 := [trans #5688 #5691]: #5692 #5696 := [monotonicity #5693]: #5695 -#8908 := [monotonicity #5696]: #8884 -#8886 := [trans #8908 #8885]: #8884 -#8883 := [quant-inst #115 #181 #3 #1976]: #8901 -#8888 := [mp #8883 #8886]: #8841 -#9802 := [unit-resolution #8888 #3646]: #5694 -#5971 := [hypothesis]: #2870 -#3537 := (or #2865 #1981) -#3540 := [def-axiom]: #3537 -#5973 := [unit-resolution #3540 #5971]: #1981 -#9805 := (= #5671 #1980) -#9803 := [monotonicity #8195]: #9805 -#9712 := [trans #9803 #5973]: #5672 -#8941 := (not #5672) -#8928 := (not #5694) -#8937 := (or #8928 #8941 #5689) -#8942 := [def-axiom]: #8937 -#9678 := [unit-resolution #8942 #9712 #9802]: #5689 -#8913 := (not #5683) +#9267 := [monotonicity #5696]: #9550 +#9960 := [trans #9267 #9737]: #9550 +#9682 := [quant-inst #115 #181 #3 #1976]: #9982 +#9972 := [mp #9682 #9960]: #9981 +#10602 := [unit-resolution #9972 #3646]: #5694 +#10603 := [hypothesis]: #1981 +#10604 := (= #5671 #1980) +#10599 := [monotonicity #8146]: #10604 +#10571 := [trans #10599 #10603]: #5672 +#9787 := (not #5672) +#9971 := (not #5694) +#9963 := (or #9971 #9787 #5689) +#9964 := [def-axiom]: #9963 +#10605 := [unit-resolution #9964 #10571 #10602]: #5689 +#8065 := (not #5689) +#10754 := (or #9236 #8065) +#9774 := (not #9236) +#10735 := [hypothesis]: #9774 #5652 := (f19 f20 ?v0!17) #5545 := (* -1::Int #5652) +#5605 := (+ #1985 #5545) +#5610 := (<= #5605 0::Int) +#8385 := (or #3851 #5610) +#5582 := (+ #5652 #1986) +#5595 := (>= #5582 0::Int) +#8384 := (or #3851 #5595) +#7710 := (iff #8384 #8385) +#7667 := (iff #8385 #8385) +#8392 := [rewrite]: #7667 +#5612 := (iff #5595 #5610) +#5596 := (+ #1986 #5652) +#5600 := (>= #5596 0::Int) +#5611 := (iff #5600 #5610) +#5609 := [rewrite]: #5611 +#5603 := (iff #5595 #5600) +#5601 := (= #5582 #5596) +#5602 := [rewrite]: #5601 +#5604 := [monotonicity #5602]: #5603 +#5613 := [trans #5604 #5609]: #5612 +#7791 := [monotonicity #5613]: #7710 +#7912 := [trans #7791 #8392]: #7710 +#8393 := [quant-inst #1976]: #8384 +#8060 := [mp #8393 #7912]: #8385 +#9712 := [unit-resolution #8060 #7970]: #5610 #5540 := (+ #185 #5545) -#9961 := (>= #5540 0::Int) -#10247 := (not #9961) -#8830 := (not #5727) +#9420 := (>= #5540 0::Int) +#9400 := [hypothesis]: #5689 +#8193 := (not #5681) +#9234 := (= #1985 #4078) +#9689 := (not #9234) +#9518 := (or #9689 #9236) +#9690 := [th-lemma arith triangle-eq]: #9518 +#10715 := [unit-resolution #9690 #10735]: #9689 +#10725 := (or #8193 #9234) +#9309 := [hypothesis]: #5681 +#10737 := [monotonicity #9309]: #9234 +#10736 := [hypothesis]: #9689 +#10724 := [unit-resolution #10736 #10737]: false +#10726 := [lemma #10724]: #10725 +#10727 := [unit-resolution #10726 #10715]: #8193 +#8066 := (or #8065 #5681 #5683) +#8067 := [def-axiom]: #8066 +#10723 := [unit-resolution #8067 #10727 #9400]: #5683 +#8196 := (not #5683) +#9377 := (or #8196 #9420) +#9723 := (not #9420) +#9387 := [hypothesis]: #9723 +#9362 := [hypothesis]: #5683 +#9219 := (or #3731 #183 #8196 #9420) +#9438 := (or #183 #8196 #9420) +#9235 := (or #3731 #9438) +#9246 := (iff #9235 #9219) +#9220 := [rewrite]: #9246 +#9237 := [quant-inst #1976 #181]: #9235 +#8778 := [mp #9237 #9220]: #9219 +#9376 := [unit-resolution #8778 #8156 #8155 #9362 #9387]: false +#9457 := [lemma #9376]: #9377 +#10721 := [unit-resolution #9457 #10723]: #9420 +#4080 := (+ #185 #4079) +#4439 := (<= #4080 0::Int) +#7295 := (= #185 #4078) +#10741 := (iff #4131 #7295) +#10728 := (iff #7295 #4131) +#10729 := [commutativity]: #10728 +#10742 := [symm #10729]: #10741 +#10743 := [mp #7804 #10742]: #7295 +#10747 := (not #7295) +#10748 := (or #10747 #4439) +#10750 := [th-lemma arith triangle-eq]: #10748 +#10752 := [unit-resolution #10750 #10743]: #4439 +#10753 := [th-lemma arith farkas -1 1 -1 1 #10752 #10721 #9712 #10735]: false +#10749 := [lemma #10753]: #10754 +#10606 := [unit-resolution #10749 #10605]: #9236 +#4081 := (>= #4080 0::Int) +#7188 := (or #3851 #4081) +#7230 := [quant-inst #181]: #7188 +#9459 := [unit-resolution #7230 #7970]: #4081 +#4492 := (* -1::Int #1984) +#5947 := (+ #4492 #5889) +#5948 := (+ #185 #5947) +#7908 := (<= #5948 0::Int) +#5951 := (= #5948 0::Int) +#5855 := (f19 f20 ?v1!16) +#5872 := (* -1::Int #5855) +#5907 := (+ #5872 #5889) +#5908 := (+ #185 #5907) +#5909 := (>= #5908 0::Int) +#5890 := (* -1::Int #5889) +#5891 := (+ f3 #5890) +#5892 := (<= #5891 0::Int) +#5914 := (or #5892 #5909) +#5917 := (not #5914) +#5898 := (= #1984 #5855) +#10613 := (not #5898) +#5873 := (+ #1984 #5872) +#8314 := (>= #5873 0::Int) +#9718 := (not #8314) +#4924 := (+ #185 #5872) +#4925 := (<= #4924 0::Int) #5728 := (f11 f21 ?v1!16) #5729 := (= #5728 f1) +#9937 := (not #5729) #5735 := (or #5727 #5729) -#8846 := (not #5735) +#9563 := (not #5735) #5725 := (f11 #193 ?v1!16) #5726 := (= #5725 f1) #5740 := (iff #5726 #5735) -#8823 := (or #7582 #5740) +#9884 := (or #7518 #5740) #5730 := (if #5727 #4057 #5729) #5731 := (iff #5726 #5730) -#8824 := (or #7582 #5731) -#8825 := (iff #8824 #8823) -#8821 := (iff #8823 #8823) -#8828 := [rewrite]: #8821 +#9851 := (or #7518 #5731) +#9678 := (iff #9851 #9884) +#9677 := (iff #9884 #9884) +#9566 := [rewrite]: #9677 #5741 := (iff #5731 #5740) #5738 := (iff #5730 #5735) #5732 := (if #5727 true #5729) @@ -4690,50 +4671,43 @@ #5734 := [monotonicity #4060]: #5733 #5739 := [trans #5734 #5737]: #5738 #5742 := [monotonicity #5739]: #5741 -#8826 := [monotonicity #5742]: #8825 -#8829 := [trans #8826 #8828]: #8825 -#8822 := [quant-inst #115 #181 #3 #1975]: #8824 -#8827 := [mp #8822 #8829]: #8823 -#9713 := [unit-resolution #8827 #3646]: #5740 -#8836 := (not #5726) -#9741 := (iff #1979 #8836) -#9711 := (iff #1978 #5726) -#9703 := (iff #5726 #1978) -#9690 := (= #5725 #1977) -#9701 := [monotonicity #8195]: #9690 -#9679 := [monotonicity #9701]: #9703 -#9734 := [symm #9679]: #9711 -#9739 := [monotonicity #9734]: #9741 -#3536 := (or #2865 #1979) -#3539 := [def-axiom]: #3536 -#5974 := [unit-resolution #3539 #5971]: #1979 -#9801 := [mp #5974 #9739]: #8836 -#8850 := (not #5740) -#8835 := (or #8850 #5726 #8846) -#8849 := [def-axiom]: #8835 -#9795 := [unit-resolution #8849 #9801 #9713]: #8846 -#8831 := (or #5735 #8830) -#8842 := [def-axiom]: #8831 -#9796 := [unit-resolution #8842 #9795]: #8830 -#5855 := (f19 f20 ?v1!16) -#5872 := (* -1::Int #5855) -#4924 := (+ #185 #5872) -#4925 := (<= #4924 0::Int) -#8844 := (not #5729) -#8845 := (or #5735 #8844) -#8843 := [def-axiom]: #8845 -#9744 := [unit-resolution #8843 #9795]: #8844 +#9679 := [monotonicity #5742]: #9678 +#8478 := [trans #9679 #9566]: #9678 +#9932 := [quant-inst #115 #181 #3 #1975]: #9851 +#7394 := [mp #9932 #8478]: #9884 +#10476 := [unit-resolution #7394 #3646]: #5740 +#8333 := (not #5726) +#10578 := (iff #1979 #8333) +#10579 := (iff #1978 #5726) +#10551 := (iff #5726 #1978) +#10541 := (= #5725 #1977) +#10544 := [monotonicity #8146]: #10541 +#10552 := [monotonicity #10544]: #10551 +#10580 := [symm #10552]: #10579 +#10581 := [monotonicity #10580]: #10578 +#10477 := [hypothesis]: #1979 +#10600 := [mp #10477 #10581]: #8333 +#8954 := (not #5740) +#9175 := (or #8954 #5726 #9563) +#7890 := [def-axiom]: #9175 +#10601 := [unit-resolution #7890 #10600 #10476]: #9563 +#8489 := (or #5735 #9937) +#9914 := [def-axiom]: #8489 +#10607 := [unit-resolution #9914 #10601]: #9937 #4948 := (or #5729 #4925) -#9196 := (or #3825 #5729 #4925) +#3462 := (or #3968 #3820) +#3463 := [def-axiom]: #3462 +#9789 := [unit-resolution #3463 #7802]: #3820 +#9716 := (or #3825 #5729 #4925) #4892 := (+ #5855 #1146) #4893 := (>= #4892 0::Int) #4918 := (or #5729 #4893) -#9197 := (or #3825 #4918) -#9258 := (iff #9197 #9196) -#9254 := (or #3825 #4948) -#9257 := (iff #9254 #9196) -#9252 := [rewrite]: #9257 -#9255 := (iff #9197 #9254) +#9628 := (or #3825 #4918) +#10139 := (iff #9628 #9716) +#10115 := (or #3825 #4948) +#10118 := (iff #10115 #9716) +#10138 := [rewrite]: #10118 +#10117 := (iff #9628 #10115) #4949 := (iff #4918 #4948) #4946 := (iff #4893 #4925) #4919 := (+ #1146 #5855) @@ -4746,117 +4720,37 @@ #4923 := [monotonicity #4921]: #4917 #4947 := [trans #4923 #4927]: #4946 #4950 := [monotonicity #4947]: #4949 -#9256 := [monotonicity #4950]: #9255 -#9259 := [trans #9256 #9252]: #9258 -#9253 := [quant-inst #1975]: #9197 -#9260 := [mp #9253 #9259]: #9196 -#9738 := [unit-resolution #9260 #9764]: #4948 -#9702 := [unit-resolution #9738 #9744]: #4925 -#3538 := (not #1988) -#3541 := (or #2865 #3538) -#3425 := [def-axiom]: #3541 -#5972 := [unit-resolution #3425 #5971]: #3538 -#5605 := (+ #1985 #5545) -#5610 := (<= #5605 0::Int) -#9092 := (or #3851 #5610) -#5582 := (+ #5652 #1986) -#5595 := (>= #5582 0::Int) -#9093 := (or #3851 #5595) -#9104 := (iff #9093 #9092) -#9106 := (iff #9092 #9092) -#9107 := [rewrite]: #9106 -#5612 := (iff #5595 #5610) -#5596 := (+ #1986 #5652) -#5600 := (>= #5596 0::Int) -#5611 := (iff #5600 #5610) -#5609 := [rewrite]: #5611 -#5603 := (iff #5595 #5600) -#5601 := (= #5582 #5596) -#5602 := [rewrite]: #5601 -#5604 := [monotonicity #5602]: #5603 -#5613 := [trans #5604 #5609]: #5612 -#9105 := [monotonicity #5613]: #9104 -#9109 := [trans #9105 #9107]: #9104 -#9095 := [quant-inst #1976]: #9093 -#9110 := [mp #9095 #9109]: #9092 -#9766 := [unit-resolution #9110 #9800]: #5610 -#10140 := (not #4925) -#10238 := (not #5610) -#9927 := (or #10247 #3835 #3843 #10238 #1988 #10140 #5727) -#4492 := (* -1::Int #1984) -#5947 := (+ #4492 #5889) -#5948 := (+ #185 #5947) -#5951 := (= #5948 0::Int) -#10144 := (not #5951) -#9091 := (<= #5948 0::Int) -#10246 := (not #9091) -#10223 := [hypothesis]: #8830 -#10244 := [hypothesis]: #5610 -#10243 := [hypothesis]: #3538 -#10222 := [hypothesis]: #9961 -#10237 := (or #10246 #10238 #1988 #10247 #5727) -#10201 := (not #10218) -#10234 := (not #10217) -#10235 := (iff #8830 #10234) -#10232 := (iff #5727 #10217) -#10231 := (iff #10217 #5727) -#10226 := [commutativity]: #10231 -#10233 := [symm #10226]: #10232 -#10236 := [monotonicity #10233]: #10235 -#10239 := [mp #10223 #10236]: #10234 -#10221 := (or #10217 #10201) -#10224 := (or #7204 #10217 #10201) -#10225 := (or #7204 #10221) -#10228 := (iff #10225 #10224) -#10229 := [rewrite]: #10228 -#10227 := [quant-inst #181 #1975]: #10225 -#10230 := [mp #10227 #10229]: #10224 -#10240 := [unit-resolution #10230 #3612]: #10221 -#10242 := [unit-resolution #10240 #10239]: #10201 -#10241 := [hypothesis]: #9091 -#10245 := [th-lemma arith farkas 1 1 1 1 1 #10244 #10241 #10243 #10242 #10222]: false -#10248 := [lemma #10245]: #10237 -#10145 := [unit-resolution #10248 #10222 #10243 #10244 #10223]: #10246 -#10146 := (or #10144 #9091) -#9628 := [th-lemma arith triangle-eq]: #10146 -#9629 := [unit-resolution #9628 #10145]: #10144 -#5890 := (* -1::Int #5889) -#5891 := (+ f3 #5890) -#5892 := (<= #5891 0::Int) -#9034 := (not #5892) -#5907 := (+ #5872 #5889) -#5908 := (+ #185 #5907) -#5909 := (>= #5908 0::Int) -#5914 := (or #5892 #5909) -#5917 := (not #5914) -#5898 := (= #1984 #5855) -#9631 := (not #5898) -#5873 := (+ #1984 #5872) -#9060 := (>= #5873 0::Int) -#10125 := (not #9060) -#10124 := [hypothesis]: #4925 -#10137 := (or #10125 #10247 #10238 #1988 #10140) -#10123 := [hypothesis]: #9060 -#10122 := [th-lemma arith farkas 1 -1 -1 -1 1 #10222 #10244 #10243 #10124 #10123]: false -#10139 := [lemma #10122]: #10137 -#9630 := [unit-resolution #10139 #10222 #10244 #10243 #10124]: #10125 -#9632 := (or #9631 #9060) -#9622 := [th-lemma arith triangle-eq]: #9632 -#9651 := [unit-resolution #9622 #9630]: #9631 +#10112 := [monotonicity #4950]: #10117 +#10140 := [trans #10112 #10138]: #10139 +#10116 := [quant-inst #1975]: #9628 +#10141 := [mp #10116 #10140]: #9716 +#10608 := [unit-resolution #10141 #9789]: #4948 +#10609 := [unit-resolution #10608 #10607]: #4925 +#11010 := (not #4925) +#11011 := (or #9774 #9718 #1988 #11010) +#11006 := [hypothesis]: #4925 +#9759 := [hypothesis]: #9236 +#9707 := [hypothesis]: #8314 +#11009 := [th-lemma arith farkas -1 1 1 -1 1 #9707 #9759 #9711 #9459 #11006]: false +#11012 := [lemma #11009]: #11011 +#10612 := [unit-resolution #11012 #10606 #9711 #10609]: #9718 +#10614 := (or #10613 #8314) +#10615 := [th-lemma arith triangle-eq]: #10614 +#10610 := [unit-resolution #10615 #10612]: #10613 #5920 := (or #5917 #5898) -#8986 := (or #3843 #5917 #5898) +#10033 := (or #3843 #5917 #5898) #5893 := (+ #1146 #5890) #5894 := (+ #5855 #5893) #5895 := (<= #5894 0::Int) #5896 := (or #5892 #5895) #5897 := (not #5896) #5899 := (or #5897 #5898) -#8987 := (or #3843 #5899) -#9031 := (iff #8987 #8986) -#8999 := (or #3843 #5920) -#9029 := (iff #8999 #8986) -#9030 := [rewrite]: #9029 -#8989 := (iff #8987 #8999) +#10016 := (or #3843 #5899) +#9991 := (iff #10016 #10033) +#10017 := (or #3843 #5920) +#10008 := (iff #10017 #10033) +#10004 := [rewrite]: #10008 +#9989 := (iff #10016 #10017) #5921 := (iff #5899 #5920) #5918 := (iff #5897 #5917) #5915 := (iff #5896 #5914) @@ -4874,196 +4768,93 @@ #5916 := [monotonicity #5913]: #5915 #5919 := [monotonicity #5916]: #5918 #5922 := [monotonicity #5919]: #5921 -#9028 := [monotonicity #5922]: #8989 -#9027 := [trans #9028 #9030]: #9031 -#8988 := [quant-inst #1975]: #8987 -#9033 := [mp #8988 #9027]: #8986 -#9652 := [unit-resolution #9033 #7150]: #5920 -#9688 := [unit-resolution #9652 #9651]: #5917 -#9035 := (or #5914 #9034) -#9036 := [def-axiom]: #9035 -#9689 := [unit-resolution #9036 #9688]: #9034 -#9032 := (not #5909) -#9037 := (or #5914 #9032) -#9057 := [def-axiom]: #9037 -#9696 := [unit-resolution #9057 #9688]: #9032 +#10005 := [monotonicity #5922]: #9989 +#10002 := [trans #10005 #10004]: #9991 +#9962 := [quant-inst #1975]: #10016 +#10010 := [mp #9962 #10002]: #10033 +#10611 := [unit-resolution #10010 #7803]: #5920 +#10616 := [unit-resolution #10611 #10610]: #5917 +#9749 := (or #5914 #5951) +#9732 := (not #5951) +#9742 := [hypothesis]: #9732 +#8264 := (not #5892) +#9745 := [hypothesis]: #5917 +#8000 := (or #5914 #8264) +#8092 := [def-axiom]: #8000 +#9727 := [unit-resolution #8092 #9745]: #8264 +#8284 := (not #5909) +#8311 := (or #5914 #8284) +#8280 := [def-axiom]: #8311 +#9746 := [unit-resolution #8280 #9745]: #8284 #5954 := (or #5892 #5909 #5951) -#9056 := (or #3835 #5892 #5909 #5951) +#8310 := (or #3835 #5892 #5909 #5951) #5943 := (+ #5889 #4492) #5944 := (+ #185 #5943) #5945 := (= #5944 0::Int) #5946 := (or #5892 #5895 #5945) -#9062 := (or #3835 #5946) -#9087 := (iff #9062 #9056) -#9064 := (or #3835 #5954) -#9066 := (iff #9064 #9056) -#9086 := [rewrite]: #9066 -#9065 := (iff #9062 #9064) +#8334 := (or #3835 #5946) +#8377 := (iff #8334 #8310) +#8335 := (or #3835 #5954) +#8378 := (iff #8335 #8310) +#8379 := [rewrite]: #8378 +#8336 := (iff #8334 #8335) #5955 := (iff #5946 #5954) #5952 := (iff #5945 #5951) #5949 := (= #5944 #5948) #5950 := [rewrite]: #5949 #5953 := [monotonicity #5950]: #5952 #5956 := [monotonicity #5913 #5953]: #5955 -#9061 := [monotonicity #5956]: #9065 -#9088 := [trans #9061 #9086]: #9087 -#9063 := [quant-inst #1975]: #9062 -#9089 := [mp #9063 #9088]: #9056 -#9928 := [unit-resolution #9089 #7155]: #5954 -#10012 := [unit-resolution #9928 #9696 #9689 #9629]: false -#10013 := [lemma #10012]: #9927 -#9704 := [unit-resolution #10013 #9766 #7150 #7155 #5972 #9702 #9796]: #10247 -#9715 := (or #8913 #183 #9961) -#9692 := [hypothesis]: #10247 -#9693 := [hypothesis]: #5683 -#9660 := (or #3731 #183 #8913 #9961) -#9962 := (or #183 #8913 #9961) -#9687 := (or #3731 #9962) -#9680 := (iff #9687 #9660) -#9681 := [rewrite]: #9680 -#9691 := [quant-inst #1976 #181]: #9687 -#9682 := [mp #9691 #9681]: #9660 -#9714 := [unit-resolution #9682 #8136 #8135 #9693 #9692]: false -#9677 := [lemma #9714]: #9715 -#9767 := [unit-resolution #9677 #9704 #8135]: #8913 -#8926 := (not #5689) -#8925 := (or #8926 #5679 #5683) -#8927 := [def-axiom]: #8925 -#9737 := [unit-resolution #8927 #9767 #9678]: #5679 -#8889 := (not #5679) -#10182 := (or #8889 #9482) -#9517 := [hypothesis]: #5679 -#10179 := [monotonicity #9517]: #9482 -#10138 := (not #9482) -#9568 := [hypothesis]: #10138 -#10180 := [unit-resolution #9568 #10179]: false -#10183 := [lemma #10180]: #10182 -#9765 := [unit-resolution #10183 #9737]: #9482 -#10160 := (or #10138 #10128) -#10174 := [th-lemma arith triangle-eq]: #10160 -#9743 := [unit-resolution #10174 #9765]: #10128 -#10187 := (not #10128) -#9773 := (or #9768 #10187 #1988) -#9842 := [th-lemma arith assign-bounds -1 -1]: #9773 -#9826 := [unit-resolution #9842 #5972 #9743]: #9768 -#10190 := (not #4081) -#9659 := (or #10125 #10187 #10190 #1988 #10140) -#10188 := [hypothesis]: #4081 -#10185 := [hypothesis]: #10128 -#9658 := [th-lemma arith farkas -1 1 -1 1 1 #10123 #10185 #10188 #10243 #10124]: false -#9653 := [lemma #9658]: #9659 -#9769 := [unit-resolution #9653 #9743 #9804 #5972 #9702]: #10125 -#9841 := [unit-resolution #9622 #9769]: #9631 -#9827 := [unit-resolution #9652 #9841]: #5917 -#9656 := (or #5914 #5951 #3835) -#9538 := [hypothesis]: #10144 -#9541 := [hypothesis]: #5917 -#9536 := [unit-resolution #9036 #9541]: #9034 -#9599 := [unit-resolution #9057 #9541]: #9032 -#9654 := [unit-resolution #9928 #9599 #9536 #9538]: false -#9655 := [lemma #9654]: #9656 -#9828 := [unit-resolution #9655 #9827 #7155]: #5951 -#9772 := [unit-resolution #9628 #9828]: #9091 -#9859 := (or #5838 #10190 #10246 #10218) -#9814 := [th-lemma arith assign-bounds 1 1 1]: #9859 -#9837 := [unit-resolution #9814 #9772 #9826 #9804]: #10218 -#9763 := [unit-resolution #10230 #3612 #9837]: #10217 -#9815 := [symm #9763]: #5727 -#9836 := [unit-resolution #9796 #9815]: false -#9843 := [lemma #9836]: #9810 -#16075 := [unit-resolution #9843 #12445 #11843 #16074 #16073 #12662 #12531]: #2865 -#3458 := (or #3968 #1323) -#3461 := [def-axiom]: #3458 -#12443 := [unit-resolution #3461 #11571]: #1323 -#8787 := (or #1962 #715 #3835 #3843 #3860 #1322) -#8481 := (= f16 ?v0!15) -#8495 := (not #8481) -#8546 := (= ?v0!15 f16) -#8430 := (not #8546) -#8736 := (iff #8430 #8495) -#8713 := (iff #8546 #8481) -#8711 := (iff #8481 #8546) -#8712 := [commutativity]: #8711 -#8714 := [symm #8712]: #8713 -#8737 := [monotonicity #8714]: #8736 -#8515 := (f11 f21 ?v0!15) -#8516 := (= #8515 f1) -#8392 := (or #8546 #8516) -#8445 := (not #8392) -#6822 := (f13 #191 f16) -#6823 := (f12 #6822 f1) -#8288 := (f11 #6823 ?v0!15) -#8269 := (= #8288 f1) -#8396 := (iff #8269 #8392) -#8419 := (or #7582 #8396) -#8346 := (if #8546 #4057 #8516) -#8341 := (iff #8269 #8346) -#8420 := (or #7582 #8341) -#8421 := (iff #8420 #8419) -#8418 := (iff #8419 #8419) -#8423 := [rewrite]: #8418 -#8416 := (iff #8341 #8396) -#8394 := (iff #8346 #8392) -#8362 := (if #8546 true #8516) -#8393 := (iff #8362 #8392) -#8361 := [rewrite]: #8393 -#8391 := (iff #8346 #8362) -#8386 := [monotonicity #4060]: #8391 -#8395 := [trans #8386 #8361]: #8394 -#8417 := [monotonicity #8395]: #8416 -#8422 := [monotonicity #8417]: #8421 -#8424 := [trans #8422 #8423]: #8421 -#8415 := [quant-inst #115 #65 #3 #1960]: #8420 -#8425 := [mp #8415 #8424]: #8419 -#8638 := [unit-resolution #8425 #3646]: #8396 -#8242 := (not #8269) -#4485 := (f11 f29 ?v0!15) -#4486 := (= #4485 f1) -#4487 := (not #4486) -#8707 := (iff #4487 #8242) -#8705 := (iff #4486 #8269) -#8670 := (iff #8269 #4486) -#8666 := (= #8288 #4485) -#8667 := (= #6823 f29) -#8681 := (= #6823 #193) -#8679 := (= #6822 #192) -#7229 := (= f16 f28) -#4163 := (= f28 f16) -#4164 := (?v1!7 f28) -#4172 := (f6 f7 #4164) -#4173 := (f5 #4172 f28) -#4174 := (f4 #4173) -#4175 := (* -1::Int #4174) -#4165 := (f19 f20 #4164) -#4166 := (* -1::Int #4165) -#4176 := (+ #4166 #4175) -#4177 := (+ #185 #4176) -#4178 := (= #4177 0::Int) -#4179 := (not #4178) -#4169 := (f11 f21 #4164) -#4170 := (= #4169 f1) -#4171 := (not #4170) -#4167 := (+ #185 #4166) -#4168 := (<= #4167 0::Int) -#4180 := (or #4168 #4171 #4179) -#7890 := (>= #4167 0::Int) -#9101 := (not #7890) -#6618 := [hypothesis]: #1963 -#8892 := (or #1962 #3843 #3835 #9101) -#6496 := (f19 f20 ?v0!15) -#8568 := (>= #6496 0::Int) +#8337 := [monotonicity #5956]: #8336 +#8371 := [trans #8337 #8379]: #8377 +#8279 := [quant-inst #1975]: #8334 +#8381 := [mp #8279 #8371]: #8310 +#9747 := [unit-resolution #8381 #7967]: #5954 +#9748 := [unit-resolution #9747 #9746 #9727 #9742]: false +#9750 := [lemma #9748]: #9749 +#10617 := [unit-resolution #9750 #10616]: #5951 +#10618 := (or #9732 #7908) +#10619 := [th-lemma arith triangle-eq]: #10618 +#10620 := [unit-resolution #10619 #10617]: #7908 +#10624 := (not #4081) +#10623 := (not #7908) +#10625 := (or #9302 #10623 #1988 #9774 #10624) +#10626 := [th-lemma arith assign-bounds 1 1 1 1]: #10625 +#10621 := [unit-resolution #10626 #10620 #9459 #10606 #9711]: #9302 +#9349 := (not #9302) +#10411 := (or #7600 #9301 #9349) +#9385 := (or #9301 #9349) +#10539 := (or #7600 #9385) +#10540 := (iff #10539 #10411) +#10542 := [rewrite]: #10540 +#10381 := [quant-inst #181 #1975]: #10539 +#10543 := [mp #10381 #10542]: #10411 +#10622 := [unit-resolution #10543 #3612 #10621]: #9301 +#10627 := [symm #10622]: #5727 +#7819 := (not #5727) +#9916 := (or #5735 #7819) +#9935 := [def-axiom]: #9916 +#10577 := [unit-resolution #9935 #10601]: #7819 +#10628 := [unit-resolution #10577 #10627]: false +#10630 := [lemma #10628]: #10629 +#9889 := [unit-resolution #10630 #5973 #5974 #5972]: false +#9891 := [lemma #9889]: #2865 +#8784 := (or #1962 #3860) +#4183 := (>= #185 0::Int) #3442 := (or #3980 #3717) #3422 := [def-axiom]: #3442 -#7284 := [unit-resolution #3422 #7283]: #3717 -#8851 := (or #3722 #8568) -#8852 := [quant-inst #1960]: #8851 -#8854 := [unit-resolution #8852 #7284]: #8568 -#6521 := (* -1::Int #6496) -#6522 := (+ #1961 #6521) -#8853 := (>= #6522 0::Int) -#6497 := (= #1961 #6496) +#7614 := [unit-resolution #3422 #7155]: #3717 +#7345 := (or #3722 #4183) +#7351 := [quant-inst #181]: #7345 +#7620 := [unit-resolution #7351 #7614]: #4183 #6537 := (f5 #195 ?v0!15) #6538 := (f4 #6537) +#4488 := (* -1::Int #1961) +#6594 := (+ #4488 #6538) +#6595 := (+ #185 #6594) +#8465 := (<= #6595 0::Int) +#6598 := (= #6595 0::Int) +#6496 := (f19 f20 ?v0!15) +#6521 := (* -1::Int #6496) #6555 := (+ #6521 #6538) #6556 := (+ #185 #6555) #6557 := (>= #6556 0::Int) @@ -5071,91 +4862,46 @@ #6540 := (+ f3 #6539) #6541 := (<= #6540 0::Int) #6562 := (or #6541 #6557) -#4488 := (* -1::Int #1961) -#6594 := (+ #4488 #6538) -#6595 := (+ #185 #6594) -#6598 := (= #6595 0::Int) -#8864 := (not #6598) -#8820 := (<= #6595 0::Int) -#9100 := (not #8820) -#9097 := [hypothesis]: #7890 -#8984 := (or #9100 #1962 #9101) -#8957 := (>= #6538 0::Int) -#8947 := (= #6538 0::Int) -#8943 := (= f28 ?v0!15) -#8958 := (<= #6538 0::Int) -#9098 := [hypothesis]: #8820 -#9102 := (or #8958 #1962 #9100 #9101) -#8949 := (not #8958) -#9096 := [hypothesis]: #8949 -#8015 := (>= #4165 0::Int) -#8035 := (or #3722 #8015) -#8036 := [quant-inst #4164]: #8035 -#8125 := [unit-resolution #8036 #7284]: #8015 -#9099 := [th-lemma arith farkas 1 1 1 1 1 #6618 #9098 #8125 #9097 #9096]: false -#9103 := [lemma #9099]: #9102 -#9002 := [unit-resolution #9103 #9098 #6618 #9097]: #8958 -#8950 := (or #8943 #8949) -#8961 := (or #7204 #8943 #8949) -#8962 := (or #7204 #8950) -#8964 := (iff #8962 #8961) -#8965 := [rewrite]: #8964 -#8963 := [quant-inst #181 #1960]: #8962 -#8966 := [mp #8963 #8965]: #8961 -#9003 := [unit-resolution #8966 #3612]: #8950 -#9004 := [unit-resolution #9003 #9002]: #8943 -#8944 := (not #8943) -#8948 := (or #8944 #8947) -#8951 := (or #7193 #8944 #8947) -#8952 := (or #7193 #8948) -#8954 := (iff #8952 #8951) -#8955 := [rewrite]: #8954 -#8953 := [quant-inst #181 #1960]: #8952 -#8956 := [mp #8953 #8955]: #8951 -#9005 := [unit-resolution #8956 #3606]: #8948 -#9006 := [unit-resolution #9005 #9004]: #8947 -#9007 := (not #8947) -#9008 := (or #9007 #8957) -#8982 := [th-lemma arith triangle-eq]: #9008 -#8983 := [unit-resolution #8982 #9006]: #8957 -#8981 := [th-lemma arith farkas 1 1 1 1 1 #6618 #9098 #8125 #9097 #8983]: false -#8985 := [lemma #8981]: #8984 -#8855 := [unit-resolution #8985 #6618 #9097]: #9100 -#8856 := (or #8864 #8820) -#8832 := [th-lemma arith triangle-eq]: #8856 -#8833 := [unit-resolution #8832 #8855]: #8864 -#8898 := (or #6562 #6598 #3835) -#8865 := [hypothesis]: #8864 -#8800 := (not #6541) #6565 := (not #6562) -#8893 := [hypothesis]: #6565 -#8801 := (or #6562 #8800) -#8802 := [def-axiom]: #8801 -#8894 := [unit-resolution #8802 #8893]: #8800 -#8803 := (not #6557) -#8804 := (or #6562 #8803) -#8805 := [def-axiom]: #8804 -#8895 := [unit-resolution #8805 #8893]: #8803 -#6601 := (or #6541 #6557 #6598) -#8808 := (or #3835 #6541 #6557 #6598) -#6590 := (+ #6538 #4488) -#6591 := (+ #185 #6590) -#6592 := (= #6591 0::Int) +#6497 := (= #1961 #6496) +#9674 := (not #6497) +#6522 := (+ #1961 #6521) +#9653 := (>= #6522 0::Int) +#9661 := (not #9653) +#6618 := [hypothesis]: #1963 +#9453 := (or #9661 #1962) +#8190 := (>= #6496 0::Int) +#8498 := (or #3722 #8190) +#8474 := [quant-inst #1960]: #8498 +#9421 := [unit-resolution #8474 #7614]: #8190 +#9654 := [hypothesis]: #9653 +#9452 := [th-lemma arith farkas -1 1 1 #6618 #9654 #9421]: false +#9454 := [lemma #9452]: #9453 +#8733 := [unit-resolution #9454 #6618]: #9661 +#9675 := (or #9674 #9653) +#8499 := [hypothesis]: #9661 +#8502 := [hypothesis]: #6497 +#9676 := [th-lemma arith triangle-eq]: #9675 +#8503 := [unit-resolution #9676 #8502 #8499]: false +#8506 := [lemma #8503]: #9675 +#8735 := [unit-resolution #8506 #8733]: #9674 +#6568 := (or #6565 #6497) +#8443 := (or #3843 #6565 #6497) #6542 := (+ #1146 #6539) #6543 := (+ #6496 #6542) #6544 := (<= #6543 0::Int) -#6593 := (or #6541 #6544 #6592) -#8809 := (or #3835 #6593) -#8816 := (iff #8809 #8808) -#8811 := (or #3835 #6601) -#8814 := (iff #8811 #8808) -#8815 := [rewrite]: #8814 -#8812 := (iff #8809 #8811) -#6602 := (iff #6593 #6601) -#6599 := (iff #6592 #6598) -#6596 := (= #6591 #6595) -#6597 := [rewrite]: #6596 -#6600 := [monotonicity #6597]: #6599 +#6545 := (or #6541 #6544) +#6546 := (not #6545) +#6547 := (or #6546 #6497) +#8444 := (or #3843 #6547) +#8433 := (iff #8444 #8443) +#8446 := (or #3843 #6568) +#8449 := (iff #8446 #8443) +#8432 := [rewrite]: #8449 +#8447 := (iff #8444 #8446) +#6569 := (iff #6547 #6568) +#6566 := (iff #6546 #6565) +#6563 := (iff #6545 #6562) #6560 := (iff #6544 #6557) #6548 := (+ #6496 #6539) #6549 := (+ #1146 #6548) @@ -5167,599 +4913,752 @@ #6551 := [rewrite]: #6550 #6554 := [monotonicity #6551]: #6553 #6561 := [trans #6554 #6559]: #6560 -#6603 := [monotonicity #6561 #6600]: #6602 -#8813 := [monotonicity #6603]: #8812 -#8817 := [trans #8813 #8815]: #8816 -#8810 := [quant-inst #1960]: #8809 -#8818 := [mp #8810 #8817]: #8808 -#8896 := [unit-resolution #8818 #7155]: #6601 -#8897 := [unit-resolution #8896 #8895 #8894 #8865]: false -#8899 := [lemma #8897]: #8898 -#8857 := [unit-resolution #8899 #8833 #7155]: #6562 -#6568 := (or #6565 #6497) -#8789 := (or #3843 #6565 #6497) -#6545 := (or #6541 #6544) -#6546 := (not #6545) -#6547 := (or #6546 #6497) -#8790 := (or #3843 #6547) -#8797 := (iff #8790 #8789) -#8792 := (or #3843 #6568) -#8795 := (iff #8792 #8789) -#8796 := [rewrite]: #8795 -#8793 := (iff #8790 #8792) -#6569 := (iff #6547 #6568) -#6566 := (iff #6546 #6565) -#6563 := (iff #6545 #6562) #6564 := [monotonicity #6561]: #6563 #6567 := [monotonicity #6564]: #6566 #6570 := [monotonicity #6567]: #6569 -#8794 := [monotonicity #6570]: #8793 -#8798 := [trans #8794 #8796]: #8797 -#8791 := [quant-inst #1960]: #8790 -#8799 := [mp #8791 #8798]: #8789 -#8858 := [unit-resolution #8799 #7150]: #6568 -#8859 := [unit-resolution #8858 #8857]: #6497 -#8860 := (not #6497) -#8861 := (or #8860 #8853) -#8866 := [th-lemma arith triangle-eq]: #8861 -#8867 := [unit-resolution #8866 #8859]: #8853 -#8891 := [th-lemma arith farkas -1 1 1 #6618 #8867 #8854]: false -#8900 := [lemma #8891]: #8892 -#8629 := [unit-resolution #8900 #6618 #7155 #7150]: #9101 -#8630 := (or #7890 #4168) -#8631 := [th-lemma arith farkas 1 1]: #8630 -#8632 := [unit-resolution #8631 #8629]: #4168 -#7337 := (not #4168) -#7338 := (or #4180 #7337) -#7333 := [def-axiom]: #7338 -#8633 := [unit-resolution #7333 #8632]: #4180 -#4181 := (not #4180) -#8675 := (or #4163 #4181) -#8674 := [hypothesis]: #1323 -#7245 := (or #3747 #4163 #1322 #4181) -#4182 := (or #4163 #1322 #4181) -#7243 := (or #3747 #4182) -#7302 := (iff #7243 #7245) -#7303 := [rewrite]: #7302 -#7246 := [quant-inst #181]: #7243 -#7334 := [mp #7246 #7303]: #7245 -#8676 := [unit-resolution #7334 #6675 #8674]: #8675 -#8677 := [unit-resolution #8676 #8633]: #4163 -#8678 := [symm #8677]: #7229 -#8680 := [monotonicity #8678]: #8679 -#8682 := [monotonicity #8680]: #8681 -#8668 := [trans #8682 #8195]: #8667 -#8669 := [monotonicity #8668]: #8666 -#8671 := [monotonicity #8669]: #8670 -#8706 := [symm #8671]: #8705 -#8708 := [monotonicity #8706]: #8707 -#8639 := (not #8853) -#8640 := (not #8568) -#8641 := (or #8639 #1962 #8640) -#8514 := [th-lemma arith assign-bounds -1 1]: #8641 -#8576 := [unit-resolution #8514 #6618 #8854]: #8639 -#8577 := [unit-resolution #8866 #8576]: #8860 +#8448 := [monotonicity #6570]: #8447 +#8434 := [trans #8448 #8432]: #8433 +#8445 := [quant-inst #1960]: #8444 +#8435 := [mp #8445 #8434]: #8443 +#9672 := [unit-resolution #8435 #7803]: #6568 +#8736 := [unit-resolution #9672 #8735]: #6565 +#9651 := (or #6562 #6598) +#9644 := (not #6598) +#9645 := [hypothesis]: #9644 +#8436 := (not #6541) +#9646 := [hypothesis]: #6565 +#8431 := (or #6562 #8436) +#8437 := [def-axiom]: #8431 +#9647 := [unit-resolution #8437 #9646]: #8436 +#8438 := (not #6557) +#8439 := (or #6562 #8438) +#8440 := [def-axiom]: #8439 +#9648 := [unit-resolution #8440 #9646]: #8438 +#6601 := (or #6541 #6557 #6598) +#8452 := (or #3835 #6541 #6557 #6598) +#6590 := (+ #6538 #4488) +#6591 := (+ #185 #6590) +#6592 := (= #6591 0::Int) +#6593 := (or #6541 #6544 #6592) +#8453 := (or #3835 #6593) +#8459 := (iff #8453 #8452) +#8455 := (or #3835 #6601) +#8457 := (iff #8455 #8452) +#8458 := [rewrite]: #8457 +#8450 := (iff #8453 #8455) +#6602 := (iff #6593 #6601) +#6599 := (iff #6592 #6598) +#6596 := (= #6591 #6595) +#6597 := [rewrite]: #6596 +#6600 := [monotonicity #6597]: #6599 +#6603 := [monotonicity #6561 #6600]: #6602 +#8456 := [monotonicity #6603]: #8450 +#8460 := [trans #8456 #8458]: #8459 +#8454 := [quant-inst #1960]: #8453 +#8464 := [mp #8454 #8460]: #8452 +#9649 := [unit-resolution #8464 #7967]: #6601 +#9650 := [unit-resolution #9649 #9648 #9647 #9645]: false +#9652 := [lemma #9650]: #9651 +#8729 := [unit-resolution #9652 #8736]: #6598 +#9668 := (or #9644 #8465) +#9669 := [th-lemma arith triangle-eq]: #9668 +#8737 := [unit-resolution #9669 #8729]: #8465 +#8633 := (>= #6538 0::Int) +#9565 := (<= #6538 0::Int) +#9568 := (not #9565) +#9564 := (= f28 ?v0!15) +#9601 := (not #9564) +#9422 := (= ?v0!15 f28) +#9445 := (not #9422) +#9602 := (iff #9445 #9601) +#9625 := (iff #9422 #9564) +#9571 := (iff #9564 #9422) +#9624 := [commutativity]: #9571 +#9626 := [symm #9624]: #9625 +#9603 := [monotonicity #9626]: #9602 +#8093 := (f11 f21 ?v0!15) +#8097 := (= #8093 f1) +#9428 := (or #9422 #8097) +#9451 := (not #9428) +#9414 := (f11 #193 ?v0!15) +#9415 := (= #9414 f1) +#9433 := (iff #9415 #9428) +#8508 := (or #7518 #9433) +#9423 := (if #9422 #4057 #8097) +#9424 := (iff #9415 #9423) +#8509 := (or #7518 #9424) +#8511 := (iff #8509 #8508) +#8510 := (iff #8508 #8508) +#8514 := [rewrite]: #8510 +#9434 := (iff #9424 #9433) +#9431 := (iff #9423 #9428) +#9425 := (if #9422 true #8097) +#9429 := (iff #9425 #9428) +#9430 := [rewrite]: #9429 +#9426 := (iff #9423 #9425) +#9427 := [monotonicity #4060]: #9426 +#9432 := [trans #9427 #9430]: #9431 +#9435 := [monotonicity #9432]: #9434 +#8512 := [monotonicity #9435]: #8511 +#8515 := [trans #8512 #8514]: #8511 +#8507 := [quant-inst #115 #181 #3 #1960]: #8509 +#8513 := [mp #8507 #8515]: #8508 +#8738 := [unit-resolution #8513 #3646]: #9433 +#8520 := (not #9415) +#4485 := (f11 f29 ?v0!15) +#4486 := (= #4485 f1) +#4487 := (not #4486) +#8754 := (iff #4487 #8520) +#8755 := (iff #4486 #9415) +#8702 := (iff #9415 #4486) +#8748 := (= #9414 #4485) +#8749 := [monotonicity #8146]: #8748 +#8703 := [monotonicity #8749]: #8702 +#8756 := [symm #8703]: #8755 +#8757 := [monotonicity #8756]: #8754 #6506 := (or #4487 #6497) -#7822 := (or #3860 #4487 #6497) -#7823 := (or #3860 #6506) -#7827 := (iff #7823 #7822) -#7828 := [rewrite]: #7827 -#7817 := [quant-inst #1960]: #7823 -#7829 := [mp #7817 #7828]: #7822 -#8628 := [unit-resolution #7829 #8627]: #6506 -#8513 := [unit-resolution #8628 #8577]: #4487 -#8709 := [mp #8513 #8708]: #8242 -#8452 := (not #8396) -#8450 := (or #8452 #8269 #8445) -#8453 := [def-axiom]: #8450 -#8704 := [unit-resolution #8453 #8709 #8638]: #8445 -#8431 := (or #8392 #8430) -#8441 := [def-axiom]: #8431 -#8710 := [unit-resolution #8441 #8704]: #8430 -#8738 := [mp #8710 #8737]: #8495 -#5201 := (f6 f7 f16) -#8435 := (f5 #5201 ?v0!15) -#8487 := (f4 #8435) -#8483 := (<= #8487 0::Int) -#8585 := (* -1::Int #8487) -#8635 := (+ #6538 #8585) -#8637 := (>= #8635 0::Int) -#8573 := (= #6538 #8487) -#8744 := (= #8487 #6538) -#8742 := (= #8435 #6537) -#8735 := (= #5201 #195) -#8739 := (= #195 #5201) -#8740 := [monotonicity #8677]: #8739 -#8741 := [symm #8740]: #8735 -#8743 := [monotonicity #8741]: #8742 -#8745 := [monotonicity #8743]: #8744 -#8750 := [symm #8745]: #8573 -#8751 := (not #8573) -#8754 := (or #8751 #8637) -#8755 := [th-lemma arith triangle-eq]: #8754 -#8761 := [unit-resolution #8755 #8750]: #8637 -#4339 := (+ #110 #1146) -#8173 := (<= #4339 0::Int) -#7896 := (= #110 #185) -#8157 := (= #185 #110) -#8762 := [monotonicity #8677]: #8157 -#8760 := [symm #8762]: #7896 -#8763 := (not #7896) -#8764 := (or #8763 #8173) -#8765 := [th-lemma arith triangle-eq]: #8764 -#8771 := [unit-resolution #8765 #8760]: #8173 -#3233 := (>= #110 0::Int) -#8772 := (or #804 #3233) -#8770 := [th-lemma arith triangle-eq]: #8772 -#8773 := [unit-resolution #8770 #7286]: #3233 -#8774 := [unit-resolution #8858 #8577]: #6565 -#8775 := [unit-resolution #8899 #8774 #7155]: #6598 -#8777 := [unit-resolution #8832 #8775]: #8820 -#8769 := (not #8173) -#8781 := (not #3233) -#8778 := (not #8637) -#8782 := (or #8483 #8778 #1962 #9100 #8781 #8769) -#8768 := [th-lemma arith assign-bounds 1 1 1 1 1]: #8782 -#8783 := [unit-resolution #8768 #8777 #8773 #8771 #6618 #8761]: #8483 -#8489 := (not #8483) -#8570 := (or #8481 #8489) -#8574 := (or #7204 #8481 #8489) -#8575 := (or #7204 #8570) -#8589 := (iff #8575 #8574) -#8600 := [rewrite]: #8589 -#8588 := [quant-inst #65 #1960]: #8575 -#8634 := [mp #8588 #8600]: #8574 -#8784 := [unit-resolution #8634 #3612]: #8570 -#8786 := [unit-resolution #8784 #8783 #8738]: false -#8806 := [lemma #8786]: #8787 -#16080 := [unit-resolution #8806 #16079 #12531 #11843 #12662 #12443]: #1962 -#3476 := (or #3944 #3938) -#3478 := [def-axiom]: #3476 -#16081 := [unit-resolution #3478 #16078]: #3938 -#4358 := (= #216 #110) -#12868 := (iff #4358 #217) -#12818 := [monotonicity #7286]: #12868 +#8739 := [hypothesis]: #3855 +#8421 := (or #3860 #4487 #6497) +#8422 := (or #3860 #6506) +#8406 := (iff #8422 #8421) +#8424 := [rewrite]: #8406 +#8423 := [quant-inst #1960]: #8422 +#8405 := [mp #8423 #8424]: #8421 +#8744 := [unit-resolution #8405 #8739]: #6506 +#8745 := [unit-resolution #8744 #8735]: #4487 +#8758 := [mp #8745 #8757]: #8520 +#8518 := (not #9433) +#8519 := (or #8518 #9415 #9451) +#8517 := [def-axiom]: #8519 +#8767 := [unit-resolution #8517 #8758 #8738]: #9451 +#9446 := (or #9428 #9445) +#9447 := [def-axiom]: #9446 +#8768 := [unit-resolution #9447 #8767]: #9445 +#8774 := [mp #8768 #9603]: #9601 +#9572 := (or #9564 #9568) +#9574 := (or #7600 #9564 #9568) +#9575 := (or #7600 #9572) +#9579 := (iff #9575 #9574) +#9580 := [rewrite]: #9579 +#9576 := [quant-inst #181 #1960]: #9575 +#9578 := [mp #9576 #9580]: #9574 +#9605 := [unit-resolution #9578 #3612]: #9572 +#8775 := [unit-resolution #9605 #8774]: #9568 +#8773 := (or #8633 #9565) +#8776 := [th-lemma arith farkas 1 1]: #8773 +#8769 := [unit-resolution #8776 #8775]: #8633 +#8777 := [th-lemma arith farkas 1 1 -1 1 #6618 #8769 #8737 #7620]: false +#8782 := [lemma #8777]: #8784 +#10054 := [unit-resolution #8782 #10053]: #1962 #4342 := (f5 #195 f16) #4343 := (f4 #4342) +#7596 := (<= #4343 0::Int) +#7588 := (not #7596) +#4163 := (= f28 f16) +#7583 := (not #4163) +#7834 := [hypothesis]: #661 +#7847 := (or #7583 #217) +#4358 := (= #216 #110) +#7840 := (= #185 #110) +#7835 := [hypothesis]: #4163 +#7841 := [monotonicity #7835]: #7840 +#7842 := (= #216 #185) +#7838 := (= #216 #4078) +#7836 := (= f16 f28) +#7837 := [symm #7835]: #7836 +#7839 := [monotonicity #7837]: #7838 +#7843 := [trans #7839 #7804]: #7842 +#7844 := [trans #7843 #7841]: #4358 +#7845 := [trans #7844 #6894]: #217 +#7846 := [unit-resolution #7834 #7845]: false +#7848 := [lemma #7846]: #7847 +#7599 := [unit-resolution #7848 #7834]: #7583 +#7589 := (or #4163 #7588) +#7601 := (or #7600 #4163 #7588) +#7602 := (or #7600 #7589) +#7604 := (iff #7602 #7601) +#7605 := [rewrite]: #7604 +#7603 := [quant-inst #181 #65]: #7602 +#7606 := [mp #7603 #7605]: #7601 +#7607 := [unit-resolution #7606 #3612]: #7589 +#7598 := [unit-resolution #7607 #7599]: #7588 #4350 := (* -1::Int #4343) #4353 := (+ #1146 #4350) #4354 := (+ #110 #4353) #4355 := (<= #4354 0::Int) +#7500 := (not #4355) #4351 := (+ f3 #4350) #4352 := (<= #4351 0::Int) #4356 := (or #4352 #4355) -#7200 := (>= #4343 0::Int) -#7186 := (= #4343 0::Int) -#7201 := (<= #4343 0::Int) -#6947 := (not #4355) -#7271 := [hypothesis]: #6947 -#7291 := (or #7201 #4355) -#7191 := (not #7201) -#7270 := [hypothesis]: #7191 -#4183 := (>= #185 0::Int) -#6896 := (or #3722 #4183) -#6931 := [quant-inst #181]: #6896 -#7285 := [unit-resolution #6931 #7284]: #4183 -#4595 := (<= #110 0::Int) -#7287 := (or #804 #4595) -#7288 := [th-lemma arith triangle-eq]: #7287 -#7289 := [unit-resolution #7288 #7286]: #4595 -#7290 := [th-lemma arith farkas 1 1 1 1 #7289 #7285 #7271 #7270]: false -#7292 := [lemma #7290]: #7291 -#7227 := [unit-resolution #7292 #7271]: #7201 -#7192 := (or #4163 #7191) -#7205 := (or #7204 #4163 #7191) -#7206 := (or #7204 #7192) -#7208 := (iff #7206 #7205) -#7209 := [rewrite]: #7208 -#7207 := [quant-inst #181 #65]: #7206 -#7210 := [mp #7207 #7209]: #7205 -#7228 := [unit-resolution #7210 #3612]: #7192 -#7252 := [unit-resolution #7228 #7227]: #4163 -#7185 := (not #4163) -#7190 := (or #7185 #7186) -#7194 := (or #7193 #7185 #7186) -#7195 := (or #7193 #7190) -#7197 := (iff #7195 #7194) -#7198 := [rewrite]: #7197 -#7196 := [quant-inst #181 #65]: #7195 -#7199 := [mp #7196 #7198]: #7194 -#7253 := [unit-resolution #7199 #3606]: #7190 -#7254 := [unit-resolution #7253 #7252]: #7186 -#7255 := (not #7186) -#7256 := (or #7255 #7200) -#7257 := [th-lemma arith triangle-eq]: #7256 -#7258 := [unit-resolution #7257 #7254]: #7200 -#7259 := [th-lemma arith farkas -1 1 1 1 #7289 #7285 #7271 #7258]: false -#7260 := [lemma #7259]: #4355 -#7663 := (or #4356 #6947) -#7661 := [def-axiom]: #7663 -#12832 := [unit-resolution #7661 #7260]: #4356 #4357 := (not #4356) -#7631 := (or #3843 #4357 #4358) +#7612 := (not #4358) +#7613 := (iff #661 #7612) +#7610 := (iff #217 #4358) +#7608 := (iff #4358 #217) +#7609 := [monotonicity #6894]: #7608 +#7611 := [symm #7609]: #7610 +#7615 := [monotonicity #7611]: #7613 +#7616 := [mp #7834 #7615]: #7612 #4359 := (or #4357 #4358) -#7632 := (or #3843 #4359) -#7655 := (iff #7632 #7631) -#7656 := [rewrite]: #7655 -#7633 := [quant-inst #65]: #7632 -#7657 := [mp #7633 #7656]: #7631 -#12816 := [unit-resolution #7657 #11843 #12832]: #4358 -#16082 := [mp #12816 #12818]: #217 +#7491 := (or #3843 #4357 #4358) +#7492 := (or #3843 #4359) +#7494 := (iff #7492 #7491) +#7495 := [rewrite]: #7494 +#7493 := [quant-inst #65]: #7492 +#7496 := [mp #7493 #7495]: #7491 +#7617 := [unit-resolution #7496 #7803]: #4359 +#7618 := [unit-resolution #7617 #7616]: #4357 +#7501 := (or #4356 #7500) +#7502 := [def-axiom]: #7501 +#7619 := [unit-resolution #7502 #7618]: #7500 +#4504 := (<= #110 0::Int) +#7621 := (or #804 #4504) +#7622 := [th-lemma arith triangle-eq]: #7621 +#7623 := [unit-resolution #7622 #6894]: #4504 +#7624 := [th-lemma arith farkas 1 1 1 1 #7623 #7620 #7619 #7598]: false +#7626 := [lemma #7624]: #217 +#3476 := (or #3944 #3938) +#3478 := [def-axiom]: #3476 +#10055 := [unit-resolution #3478 #10052]: #3938 #3496 := (or #3941 #661 #3935) #3486 := [def-axiom]: #3496 -#16083 := [unit-resolution #3486 #16082 #16081]: #3935 +#10056 := [unit-resolution #3486 #10055 #7626]: #3935 #3488 := (or #3932 #3926) #3489 := [def-axiom]: #3488 -#16084 := [unit-resolution #3489 #16083]: #3926 +#10057 := [unit-resolution #3489 #10056]: #3926 #3504 := (or #3929 #1963 #3923) #3484 := [def-axiom]: #3504 -#16085 := [unit-resolution #3484 #16084 #16080]: #3923 +#10058 := [unit-resolution #3484 #10057 #10054]: #3923 #3507 := (or #3920 #3914) #3512 := [def-axiom]: #3507 -#16086 := [unit-resolution #3512 #16085]: #3914 +#18172 := [unit-resolution #3512 #10058]: #3914 #3508 := (or #3917 #2870 #3911) #3509 := [def-axiom]: #3508 -#16087 := [unit-resolution #3509 #16086 #16075]: #3911 +#18183 := [unit-resolution #3509 #18172]: #3914 +#18184 := [unit-resolution #18183 #9891]: #3911 #3517 := (or #3908 #3902) #3518 := [def-axiom]: #3517 -#11352 := [unit-resolution #3518 #16087]: #3902 +#18185 := [unit-resolution #3518 #18184]: #3902 +#18186 := (or #3905 #3899) +#15845 := [hypothesis]: #2916 +#3530 := (or #2911 #2012) +#3533 := [def-axiom]: #3530 +#15846 := [unit-resolution #3533 #15845]: #2012 +#6483 := (f5 #195 ?v0!19) +#6481 := (f4 #6483) +#6484 := (* -1::Int #6481) +#15446 := (+ #2008 #6484) +#15535 := (>= #15446 0::Int) +#15445 := (= #2008 #6481) +#15962 := (= #2007 #6483) +#15956 := (= #2006 #195) +#5407 := (= ?v1!18 f28) +#5408 := (f11 f21 ?v1!18) +#5409 := (= #5408 f1) +#5415 := (or #5407 #5409) +#5397 := (f11 #193 ?v1!18) +#5398 := (= #5397 f1) +#5420 := (iff #5398 #5415) +#14616 := (or #7518 #5420) +#5410 := (if #5407 #4057 #5409) +#5411 := (iff #5398 #5410) +#14606 := (or #7518 #5411) +#14610 := (iff #14606 #14616) +#14613 := (iff #14616 #14616) +#14619 := [rewrite]: #14613 +#5421 := (iff #5411 #5420) +#5418 := (iff #5410 #5415) +#5412 := (if #5407 true #5409) +#5416 := (iff #5412 #5415) +#5417 := [rewrite]: #5416 +#5413 := (iff #5410 #5412) +#5414 := [monotonicity #4060]: #5413 +#5419 := [trans #5414 #5417]: #5418 +#5422 := [monotonicity #5419]: #5421 +#14620 := [monotonicity #5422]: #14610 +#14630 := [trans #14620 #14619]: #14610 +#14618 := [quant-inst #115 #181 #3 #2002]: #14606 +#14662 := [mp #14618 #14630]: #14616 +#15893 := [unit-resolution #14662 #3646]: #5420 +#3434 := (or #2911 #2005) +#3529 := [def-axiom]: #3434 +#15907 := [unit-resolution #3529 #15845]: #2005 +#15926 := (= #5397 #2004) +#15928 := [monotonicity #8146]: #15926 +#15908 := [trans #15928 #15907]: #5398 +#11373 := (not #5398) +#15102 := (not #5420) +#15199 := (or #15102 #11373 #5415) +#15197 := [def-axiom]: #15199 +#15929 := [unit-resolution #15197 #15908 #15893]: #5415 +#6623 := (not #5409) +#6374 := (f19 f20 ?v0!19) +#6445 := (* -1::Int #6374) +#5362 := (f19 f20 ?v1!18) +#6639 := (+ #5362 #6445) +#6640 := (+ #2008 #6639) +#6641 := (>= #6640 0::Int) +#15933 := (not #6641) +#3418 := (not #2020) +#3433 := (or #2911 #3418) +#3435 := [def-axiom]: #3433 +#15930 := [unit-resolution #3435 #15845]: #3418 +#6446 := (+ #2016 #6445) +#6447 := (<= #6446 0::Int) +#12992 := (not #6447) +#12993 := [hypothesis]: #12992 +#12524 := (or #3851 #6447) +#6389 := (+ #6374 #2017) +#6399 := (>= #6389 0::Int) +#12525 := (or #3851 #6399) +#12527 := (iff #12525 #12524) +#12530 := (iff #12524 #12524) +#12531 := [rewrite]: #12530 +#6468 := (iff #6399 #6447) +#6440 := (+ #2017 #6374) +#6443 := (>= #6440 0::Int) +#6448 := (iff #6443 #6447) +#6467 := [rewrite]: #6448 +#6438 := (iff #6399 #6443) +#6441 := (= #6389 #6440) +#6442 := [rewrite]: #6441 +#6444 := [monotonicity #6442]: #6438 +#6469 := [trans #6444 #6467]: #6468 +#12529 := [monotonicity #6469]: #12527 +#12532 := [trans #12529 #12531]: #12527 +#12526 := [quant-inst #2003]: #12525 +#12533 := [mp #12526 #12532]: #12524 +#12610 := [unit-resolution #12533 #7970 #12993]: false +#12611 := [lemma #12610]: #6447 +#5459 := (* -1::Int #5362) +#5460 := (+ #2015 #5459) +#12226 := (>= #5460 0::Int) +#5380 := (= #2015 #5362) +#12307 := (or #3860 #2896 #5380) +#5383 := (or #2896 #5380) +#12303 := (or #3860 #5383) +#12279 := (iff #12303 #12307) +#12410 := [rewrite]: #12279 +#12304 := [quant-inst #2002]: #12303 +#12398 := [mp #12304 #12410]: #12307 +#15925 := [unit-resolution #12398 #10053 #15907]: #5380 +#15889 := (not #5380) +#15931 := (or #15889 #12226) +#15927 := [th-lemma arith triangle-eq]: #15931 +#15932 := [unit-resolution #15927 #15925]: #12226 +#15883 := (not #12226) +#15934 := (or #15933 #15883 #12992 #2020) +#15935 := [th-lemma arith assign-bounds 1 -1 -1]: #15934 +#15955 := [unit-resolution #15935 #15932 #12611 #15930]: #15933 +#15957 := (or #6623 #6641) +#15290 := (or #3739 #6623 #2011 #6641) +#6642 := (or #6623 #2011 #6641) +#15291 := (or #3739 #6642) +#15288 := (iff #15291 #15290) +#15308 := [rewrite]: #15288 +#15270 := [quant-inst #2003 #2002]: #15291 +#15282 := [mp #15270 #15308]: #15290 +#15958 := [unit-resolution #15282 #7156 #15846]: #15957 +#15954 := [unit-resolution #15958 #15955]: #6623 +#15090 := (not #5415) +#15098 := (or #15090 #5407 #5409) +#15091 := [def-axiom]: #15098 +#15960 := [unit-resolution #15091 #15954 #15929]: #5407 +#15961 := [monotonicity #15960]: #15956 +#15959 := [monotonicity #15961]: #15962 +#15963 := [monotonicity #15959]: #15445 +#15964 := (not #15445) +#13461 := (or #15964 #15535) +#11575 := [th-lemma arith triangle-eq]: #13461 +#14042 := [unit-resolution #11575 #15963]: #15535 +#6485 := (+ f3 #6484) +#6486 := (<= #6485 0::Int) +#6610 := (+ #2017 #6481) +#6611 := (+ #185 #6610) +#6614 := (= #6611 0::Int) +#15542 := (not #6614) +#14614 := (>= #6611 0::Int) +#13597 := (not #14614) +#6363 := (+ #2015 #4079) +#6364 := (>= #6363 0::Int) +#7961 := (= #2015 #4078) +#14062 := [monotonicity #15960]: #7961 +#15213 := (not #7961) +#15268 := (or #15213 #6364) +#15479 := [th-lemma arith triangle-eq]: #15268 +#15484 := [unit-resolution #15479 #14062]: #6364 +#12694 := (not #15535) +#14493 := (not #4439) +#15269 := (not #6364) +#12544 := (or #13597 #2020 #15269 #14493 #12694) +#14974 := [th-lemma arith assign-bounds -1 1 -1 1]: #12544 +#15581 := [unit-resolution #14974 #15930 #10752 #15484 #14042]: #13597 +#15702 := (or #15542 #14614) +#15714 := [th-lemma arith triangle-eq]: #15702 +#15715 := [unit-resolution #15714 #15581]: #15542 +#6511 := (+ #6445 #6481) +#6509 := (+ #185 #6511) +#6512 := (>= #6509 0::Int) +#13034 := (not #6512) +#15736 := (or #13034 #12992 #2020 #15269 #14493 #12694) +#15582 := [th-lemma arith assign-bounds -1 -1 1 -1 1]: #15736 +#15841 := [unit-resolution #15582 #15930 #12611 #10752 #15484 #14042]: #13034 +#5073 := (or #6486 #6512 #6614) +#14397 := (or #3835 #6486 #6512 #6614) +#6607 := (+ #6481 #2017) +#6608 := (+ #185 #6607) +#6609 := (= #6608 0::Int) +#6491 := (+ #1146 #6484) +#6492 := (+ #6374 #6491) +#6490 := (<= #6492 0::Int) +#6604 := (or #6486 #6490 #6609) +#12671 := (or #3835 #6604) +#14485 := (iff #12671 #14397) +#14423 := (or #3835 #5073) +#14478 := (iff #14423 #14397) +#14483 := [rewrite]: #14478 +#14389 := (iff #12671 #14423) +#5263 := (iff #6604 #5073) +#5033 := (iff #6609 #6614) +#6612 := (= #6608 #6611) +#6613 := [rewrite]: #6612 +#5034 := [monotonicity #6613]: #5033 +#6529 := (iff #6490 #6512) +#6499 := (+ #6374 #6484) +#6500 := (+ #1146 #6499) +#6502 := (<= #6500 0::Int) +#6513 := (iff #6502 #6512) +#6514 := [rewrite]: #6513 +#6503 := (iff #6490 #6502) +#6498 := (= #6492 #6500) +#6501 := [rewrite]: #6498 +#6510 := [monotonicity #6501]: #6503 +#6530 := [trans #6510 #6514]: #6529 +#5264 := [monotonicity #6530 #5034]: #5263 +#14396 := [monotonicity #5264]: #14389 +#14472 := [trans #14396 #14483]: #14485 +#14422 := [quant-inst #2003]: #12671 +#14486 := [mp #14422 #14472]: #14397 +#15735 := [unit-resolution #14486 #7967]: #5073 +#15853 := [unit-resolution #15735 #15841 #15715]: #6486 +#15854 := [th-lemma arith farkas -1 1 1 #15853 #14042 #15846]: false +#15894 := [lemma #15854]: #2911 #3526 := (or #3905 #2916 #3899) #3527 := [def-axiom]: #3526 -#11376 := [unit-resolution #3527 #11352]: #3902 -#11393 := [unit-resolution #11376 #10279]: #3899 -#3531 := (or #3896 #3888) -#3535 := [def-axiom]: #3531 -#11676 := [unit-resolution #3535 #11393]: #3888 -#5121 := (f5 #195 ?v0!20) -#5122 := (f4 #5121) -#5178 := (+ #2038 #5122) -#5179 := (+ #185 #5178) -#5182 := (= #5179 0::Int) -#5080 := (f19 f20 ?v0!20) -#5105 := (* -1::Int #5080) -#5139 := (+ #5105 #5122) -#5140 := (+ #185 #5139) -#5141 := (>= #5140 0::Int) -#5123 := (* -1::Int #5122) -#5124 := (+ f3 #5123) -#5125 := (<= #5124 0::Int) -#5146 := (or #5125 #5141) -#5149 := (not #5146) -#5087 := (= #2037 #5080) -#13314 := (not #5087) -#5106 := (+ #2037 #5105) -#14166 := (>= #5106 0::Int) -#14817 := (not #14166) -#5342 := (?v1!7 ?v0!20) -#14317 := (f30 #5342) -#14337 := (* -1::Int #14317) -#14808 := (+ #2037 #14337) -#14811 := (<= #14808 0::Int) -#11290 := (not #14811) -#14807 := [hypothesis]: #14166 -#5343 := (f19 f20 #5342) -#14338 := (+ #5343 #14337) -#14315 := (>= #14338 0::Int) -#10677 := (or #3851 #14315) -#10712 := [quant-inst #5342]: #10677 -#11005 := [unit-resolution #10712 #12445]: #14315 -#5344 := (* -1::Int #5343) -#5345 := (+ #5080 #5344) -#5346 := (<= #5345 0::Int) -#10400 := (not #5346) -#5350 := (f6 f7 #5342) -#5351 := (f5 #5350 ?v0!20) -#5352 := (f4 #5351) -#5353 := (* -1::Int #5352) -#5354 := (+ #5344 #5353) -#5355 := (+ #5080 #5354) -#5356 := (= #5355 0::Int) -#5357 := (not #5356) -#5347 := (f11 f21 #5342) -#5348 := (= #5347 f1) -#5349 := (not #5348) -#5358 := (or #5346 #5349 #5357) -#5359 := (not #5358) -#5340 := (+ f3 #5105) -#5341 := (<= #5340 0::Int) -#14816 := (not #5341) +#18187 := [unit-resolution #3527 #15894]: #18186 +#18188 := [unit-resolution #18187 #18185]: #3899 #3441 := (or #3896 #2041) #3534 := [def-axiom]: #3441 -#11418 := [unit-resolution #3534 #11393]: #2041 -#14818 := (or #14816 #14817 #2040) -#14806 := [hypothesis]: #2041 -#14814 := [hypothesis]: #5341 -#14815 := [th-lemma arith farkas -1 1 1 #14814 #14807 #14806]: false -#14819 := [lemma #14815]: #14818 -#11023 := [unit-resolution #14819 #14807 #11418]: #14816 -#11390 := (or #5341 #5359) +#18189 := [unit-resolution #3534 #18188]: #2041 +#15970 := (or #15968 #15969 #2040) +#13634 := [hypothesis]: #2041 +#15965 := [hypothesis]: #12022 +#15966 := [hypothesis]: #5341 +#15967 := [th-lemma arith farkas -1 1 1 #15966 #15965 #13634]: false +#15971 := [lemma #15967]: #15970 +#19099 := [unit-resolution #15971 #18189]: #19098 +#19100 := [unit-resolution #19099 #19097]: #15968 +#15703 := (or #5341 #5359) #3439 := (or #3896 #2036) #3440 := [def-axiom]: #3439 -#11478 := [unit-resolution #3440 #11393]: #2036 -#10408 := (or #3747 #2035 #5341 #5359) +#19101 := [unit-resolution #3440 #18188]: #2036 +#12207 := (or #3747 #2035 #5341 #5359) #5360 := (or #2035 #5341 #5359) -#10412 := (or #3747 #5360) -#10411 := (iff #10412 #10408) -#10386 := [rewrite]: #10411 -#10414 := [quant-inst #2034]: #10412 -#10395 := [mp #10414 #10386]: #10408 -#11485 := [unit-resolution #10395 #6675 #11478]: #11390 -#11291 := [unit-resolution #11485 #11023]: #5359 -#10401 := (or #5358 #10400) -#10402 := [def-axiom]: #10401 -#11482 := [unit-resolution #10402 #11291]: #10400 -#11483 := (not #14315) -#11288 := (or #11290 #11483 #5346 #14817) -#11531 := [th-lemma arith assign-bounds -1 -1 -1]: #11288 -#11296 := [unit-resolution #11531 #11482 #11005 #14807]: #11290 -#13958 := (+ #5353 #14337) -#12062 := (+ #2037 #13958) -#14821 := (= #12062 0::Int) -#13983 := (<= #12062 0::Int) -#14568 := (+ f3 #5353) -#14601 := (<= #14568 0::Int) -#11602 := (not #14601) -#12759 := (>= #5355 0::Int) -#10422 := (or #5358 #5356) -#10363 := [def-axiom]: #10422 -#11294 := [unit-resolution #10363 #11291]: #5356 -#11627 := (or #5357 #12759) -#11292 := [th-lemma arith triangle-eq]: #11627 -#11603 := [unit-resolution #11292 #11294]: #12759 -#14567 := (>= #5343 0::Int) -#10649 := (or #3722 #14567) -#10651 := [quant-inst #5342]: #10649 -#11628 := [unit-resolution #10651 #7284]: #14567 -#11599 := (not #14567) -#11625 := (not #12759) -#11629 := (or #11602 #11625 #11599 #2040 #14817) -#11624 := [th-lemma arith assign-bounds -1 -1 -1 -1]: #11629 -#11632 := [unit-resolution #11624 #11628 #11418 #11603 #14807]: #11602 -#11560 := (or #14601 #13983) -#14300 := (f11 f29 #5342) -#14333 := (= #14300 f1) -#10365 := (or #5358 #5348) -#10415 := [def-axiom]: #10365 -#11673 := [unit-resolution #10415 #11291]: #5348 -#10266 := (or #14333 #5349) -#15419 := (f11 #193 #5342) -#15442 := (= #15419 f1) -#15453 := (= #5342 f28) -#15432 := (or #15453 #5348) -#15425 := (iff #15442 #15432) -#16310 := (or #7582 #15425) -#15456 := (if #15453 #4057 #5348) -#15457 := (iff #15442 #15456) -#16311 := (or #7582 #15457) -#11286 := (iff #16311 #16310) -#11830 := (iff #16310 #16310) -#12073 := [rewrite]: #11830 -#15428 := (iff #15457 #15425) -#15445 := (iff #15456 #15432) -#15460 := (if #15453 true #5348) -#15426 := (iff #15460 #15432) -#15434 := [rewrite]: #15426 -#15448 := (iff #15456 #15460) -#15447 := [monotonicity #4060]: #15448 -#15427 := [trans #15447 #15434]: #15445 -#15429 := [monotonicity #15427]: #15428 -#11833 := [monotonicity #15429]: #11286 -#12072 := [trans #11833 #12073]: #11286 -#11275 := [quant-inst #115 #181 #3 #5342]: #16311 -#12074 := [mp #11275 #12072]: #16310 -#14187 := [unit-resolution #12074 #3646]: #15425 -#13407 := (not #15425) -#14236 := (or #13407 #15442) -#15985 := [hypothesis]: #5348 -#12028 := (or #15432 #5349) -#13131 := [def-axiom]: #12028 -#14241 := [unit-resolution #13131 #15985]: #15432 -#13115 := (not #15432) -#13413 := (or #13407 #15442 #13115) -#10944 := [def-axiom]: #13413 -#15276 := [unit-resolution #10944 #14241]: #14236 -#15396 := [unit-resolution #15276 #14187]: #15442 -#15574 := (= #14300 #15419) -#15601 := [monotonicity #12662]: #15574 -#15612 := [trans #15601 #15396]: #14333 -#14331 := (not #14333) -#15983 := [hypothesis]: #14331 -#9603 := [unit-resolution #15983 #15612]: false -#15650 := [lemma #9603]: #10266 -#11630 := [unit-resolution #15650 #11673]: #14333 +#12245 := (or #3747 #5360) +#12251 := (iff #12245 #12207) +#12352 := [rewrite]: #12251 +#12240 := [quant-inst #2034]: #12245 +#12292 := [mp #12240 #12352]: #12207 +#19102 := [unit-resolution #12292 #7427 #19101]: #15703 +#19103 := [unit-resolution #19102 #19100]: #5359 +#15553 := (or #5358 #5356) +#15554 := [def-axiom]: #15553 +#18351 := [unit-resolution #15554 #19103]: #5356 +#18355 := (or #5357 #15530) +#18361 := [th-lemma arith triangle-eq]: #18355 +#18362 := [unit-resolution #18361 #18351]: #15530 +#19106 := (not #13366) +#18364 := (not #15530) +#18350 := (or #18243 #18364 #15969 #19106) +#18365 := [th-lemma arith assign-bounds 1 1 1]: #18350 +#18367 := [unit-resolution #18365 #18362 #19087 #19097]: #18243 +#14134 := (<= #14210 0::Int) +#14035 := (+ f3 #5353) +#14131 := (<= #14035 0::Int) +#18369 := (not #14131) +#13911 := (>= #5343 0::Int) +#18177 := (or #3722 #13911) +#18180 := [quant-inst #5342]: #18177 +#18368 := [unit-resolution #18180 #7614]: #13911 +#18363 := (not #13911) +#18372 := (or #18369 #18363 #18364 #15969) +#18371 := (or #18369 #18363 #18364 #2040 #15969) +#18366 := [th-lemma arith assign-bounds -1 -1 -1 -1]: #18371 +#18373 := [unit-resolution #18366 #18189]: #18372 +#18378 := [unit-resolution #18373 #18368 #18362 #19097]: #18369 +#13322 := (f11 f29 #5342) +#13321 := (= #13322 f1) +#15207 := (+ #2037 #13327) +#15217 := (<= #15207 0::Int) +#19105 := (not #15217) +#12311 := (not #5346) +#12351 := (or #5358 #12311) +#12297 := [def-axiom]: #12351 +#19104 := [unit-resolution #12297 #19103]: #12311 +#19107 := (or #19105 #5346 #15969 #19106) +#19108 := [th-lemma arith assign-bounds 1 1 1]: #19107 +#19109 := [unit-resolution #19108 #19104 #19097 #19087]: #19105 +#15548 := (or #13321 #4541 #15217) +#3523 := (or #3908 #3872) +#3528 := [def-axiom]: #3523 +#18201 := [unit-resolution #3528 #18184]: #3872 +#10669 := (or #3877 #13321 #4541 #15217) +#14133 := (+ #13325 #2038) +#15115 := (>= #14133 0::Int) +#15556 := (or #13321 #4541 #15115) +#10675 := (or #3877 #15556) +#10689 := (iff #10675 #10669) +#10671 := (or #3877 #15548) +#10662 := (iff #10671 #10669) +#10672 := [rewrite]: #10662 +#10679 := (iff #10675 #10671) +#15557 := (iff #15556 #15548) +#15222 := (iff #15115 #15217) +#15259 := (+ #2038 #13325) +#15255 := (>= #15259 0::Int) +#15218 := (iff #15255 #15217) +#15261 := [rewrite]: #15218 +#15208 := (iff #15115 #15255) +#15253 := (= #14133 #15259) +#15258 := [rewrite]: #15253 +#15216 := [monotonicity #15258]: #15208 +#15202 := [trans #15216 #15261]: #15222 +#15555 := [monotonicity #15202]: #15557 +#10681 := [monotonicity #15555]: #10679 +#10677 := [trans #10681 #10672]: #10689 +#10676 := [quant-inst #2034 #5342]: #10675 +#10678 := [mp #10676 #10677]: #10669 +#19114 := [unit-resolution #10678 #18201]: #15548 +#18370 := [unit-resolution #19114 #19109 #19086]: #13321 +#13323 := (not #13321) +#11985 := (or #13323 #14131 #14134) #3437 := (or #3896 #3880) #3438 := [def-axiom]: #3437 -#11479 := [unit-resolution #3438 #11393]: #3880 -#10499 := (or #3885 #14331 #14601 #13983) -#14605 := (+ #14317 #2038) -#12389 := (+ #5352 #14605) -#14602 := (>= #12389 0::Int) -#14600 := (or #14331 #14601 #14602) -#10518 := (or #3885 #14600) -#10536 := (iff #10518 #10499) -#13959 := (or #14331 #14601 #13983) -#10517 := (or #3885 #13959) -#10484 := (iff #10517 #10499) -#10511 := [rewrite]: #10484 -#10485 := (iff #10518 #10517) -#14616 := (iff #14600 #13959) -#14615 := (iff #14602 #13983) -#12975 := (+ #5352 #14317) -#13126 := (+ #2038 #12975) -#12668 := (>= #13126 0::Int) -#14613 := (iff #12668 #13983) -#14614 := [rewrite]: #14613 -#14298 := (iff #14602 #12668) -#13200 := (= #12389 #13126) -#13162 := [rewrite]: #13200 -#14328 := [monotonicity #13162]: #14298 -#12036 := [trans #14328 #14614]: #14615 -#14617 := [monotonicity #12036]: #14616 -#10522 := [monotonicity #14617]: #10485 -#10543 := [trans #10522 #10511]: #10536 -#10528 := [quant-inst #2034 #5342]: #10518 -#10544 := [mp #10528 #10543]: #10499 -#11674 := [unit-resolution #10544 #11479 #11630]: #11560 -#11672 := [unit-resolution #11674 #11632]: #13983 -#10494 := (>= #12062 0::Int) -#11675 := (or #10494 #11625 #11483 #14817) -#11298 := [th-lemma arith assign-bounds -1 -1 -1]: #11675 -#11691 := [unit-resolution #11298 #11005 #11603 #14807]: #10494 -#11692 := (not #13983) -#11689 := (not #10494) -#11730 := (or #14821 #11689 #11692) -#11758 := [th-lemma arith triangle-eq]: #11730 -#11700 := [unit-resolution #11758 #11691 #11672]: #14821 -#14826 := (not #14821) -#11282 := (or #14811 #14826) -#10448 := (or #3893 #14811 #14331 #14826) -#14782 := (+ #2038 #5352) -#14792 := (+ #14317 #14782) -#14793 := (= #14792 0::Int) -#14799 := (not #14793) -#14781 := (>= #14605 0::Int) -#14800 := (or #14781 #14331 #14799) -#10450 := (or #3893 #14800) -#10480 := (iff #10450 #10448) -#14829 := (or #14811 #14331 #14826) -#10447 := (or #3893 #14829) -#10416 := (iff #10447 #10448) -#10458 := [rewrite]: #10416 -#10443 := (iff #10450 #10447) -#14830 := (iff #14800 #14829) -#14827 := (iff #14799 #14826) -#14824 := (iff #14793 #14821) -#14587 := (= #13126 0::Int) -#14822 := (iff #14587 #14821) -#14823 := [rewrite]: #14822 -#14804 := (iff #14793 #14587) -#14310 := (= #14792 #13126) -#14429 := [rewrite]: #14310 -#14820 := [monotonicity #14429]: #14804 -#14825 := [trans #14820 #14823]: #14824 -#14828 := [monotonicity #14825]: #14827 -#14204 := (iff #14781 #14811) -#14798 := (+ #2038 #14317) -#14803 := (>= #14798 0::Int) -#14812 := (iff #14803 #14811) -#14813 := [rewrite]: #14812 -#14809 := (iff #14781 #14803) -#14801 := (= #14605 #14798) -#14802 := [rewrite]: #14801 -#14810 := [monotonicity #14802]: #14809 -#14193 := [trans #14810 #14813]: #14204 -#14831 := [monotonicity #14193 #14828]: #14830 -#10460 := [monotonicity #14831]: #10443 -#10495 := [trans #10460 #10458]: #10480 -#10455 := [quant-inst #5342]: #10450 -#10496 := [mp #10455 #10495]: #10448 -#11701 := [unit-resolution #10496 #11676 #11630]: #11282 -#11698 := [unit-resolution #11701 #11700 #11296]: false -#11729 := [lemma #11698]: #14817 -#13414 := (or #13314 #14166) -#12903 := [th-lemma arith triangle-eq]: #13414 -#13464 := [unit-resolution #12903 #11729]: #13314 -#5152 := (or #5149 #5087) -#10286 := (or #3843 #5149 #5087) -#5126 := (+ #1146 #5123) -#5127 := (+ #5080 #5126) -#5128 := (<= #5127 0::Int) -#5129 := (or #5125 #5128) -#5130 := (not #5129) -#5131 := (or #5130 #5087) -#10287 := (or #3843 #5131) -#9289 := (iff #10287 #10286) -#6976 := (or #3843 #5152) -#8673 := (iff #6976 #10286) -#8601 := [rewrite]: #8673 -#6978 := (iff #10287 #6976) -#5153 := (iff #5131 #5152) -#5150 := (iff #5130 #5149) -#5147 := (iff #5129 #5146) -#5144 := (iff #5128 #5141) -#5132 := (+ #5080 #5123) -#5133 := (+ #1146 #5132) -#5136 := (<= #5133 0::Int) -#5142 := (iff #5136 #5141) -#5143 := [rewrite]: #5142 -#5137 := (iff #5128 #5136) -#5134 := (= #5127 #5133) -#5135 := [rewrite]: #5134 -#5138 := [monotonicity #5135]: #5137 -#5145 := [trans #5138 #5143]: #5144 -#5148 := [monotonicity #5145]: #5147 -#5151 := [monotonicity #5148]: #5150 -#5154 := [monotonicity #5151]: #5153 -#9657 := [monotonicity #5154]: #6978 -#10282 := [trans #9657 #8601]: #9289 -#10280 := [quant-inst #2034]: #10287 -#10289 := [mp #10280 #10282]: #10286 -#13441 := [unit-resolution #10289 #11843]: #5152 -#13534 := [unit-resolution #13441 #13464]: #5149 -#12234 := (or #5146 #5182) -#12584 := (not #5182) -#12314 := [hypothesis]: #12584 -#10290 := (not #5125) -#12338 := [hypothesis]: #5149 -#10299 := (or #5146 #10290) -#10300 := [def-axiom]: #10299 -#12289 := [unit-resolution #10300 #12338]: #10290 -#10273 := (not #5141) -#10301 := (or #5146 #10273) -#10297 := [def-axiom]: #10301 -#12290 := [unit-resolution #10297 #12338]: #10273 -#5185 := (or #5125 #5141 #5182) -#10259 := (or #3835 #5125 #5141 #5182) -#5174 := (+ #5122 #2038) -#5175 := (+ #185 #5174) -#5176 := (= #5175 0::Int) -#5177 := (or #5125 #5128 #5176) -#10305 := (or #3835 #5177) -#10308 := (iff #10305 #10259) -#10307 := (or #3835 #5185) -#10311 := (iff #10307 #10259) -#10312 := [rewrite]: #10311 -#10303 := (iff #10305 #10307) -#5186 := (iff #5177 #5185) -#5183 := (iff #5176 #5182) -#5180 := (= #5175 #5179) -#5181 := [rewrite]: #5180 -#5184 := [monotonicity #5181]: #5183 -#5187 := [monotonicity #5145 #5184]: #5186 -#10309 := [monotonicity #5187]: #10303 -#10313 := [trans #10309 #10312]: #10308 -#10306 := [quant-inst #2034]: #10305 -#10315 := [mp #10306 #10313]: #10259 -#12211 := [unit-resolution #10315 #12531]: #5185 -#12231 := [unit-resolution #12211 #12290 #12289 #12314]: false -#12291 := [lemma #12231]: #12234 -#13462 := [unit-resolution #12291 #13534]: #5182 -#16225 := (or #12584 #11448 #3893) -#12244 := (= f28 ?v0!20) -#12245 := (not #12244) -#15044 := (not #11448) -#16185 := (iff #15044 #12245) -#16160 := (iff #11448 #12244) -#16058 := (iff #12244 #11448) -#16164 := [commutativity]: #16058 -#16190 := [symm #16164]: #16160 -#16191 := [monotonicity #16190]: #16185 -#16121 := [hypothesis]: #15044 -#16192 := [mp #16121 #16191]: #12245 -#12259 := (<= #5122 0::Int) -#5068 := (+ #2037 #4079) -#5229 := (<= #5068 0::Int) +#18542 := [unit-resolution #3438 #18188]: #3880 +#18156 := (or #3885 #13323 #14131 #14134) +#14205 := (+ #5352 #14133) +#12308 := (>= #14205 0::Int) +#11983 := (or #13323 #14131 #12308) +#18152 := (or #3885 #11983) +#18167 := (iff #18152 #18156) +#18181 := (or #3885 #11985) +#17096 := (iff #18181 #18156) +#18166 := [rewrite]: #17096 +#18182 := (iff #18152 #18181) +#12007 := (iff #11983 #11985) +#14226 := (iff #12308 #14134) +#11853 := (+ #5352 #13325) +#14129 := (+ #2038 #11853) +#14155 := (>= #14129 0::Int) +#8205 := (iff #14155 #14134) +#14211 := [rewrite]: #8205 +#14206 := (iff #12308 #14155) +#12309 := (= #14205 #14129) +#12299 := [rewrite]: #12309 +#14118 := [monotonicity #12299]: #14206 +#14132 := [trans #14118 #14211]: #14226 +#11847 := [monotonicity #14132]: #12007 +#17095 := [monotonicity #11847]: #18182 +#18163 := [trans #17095 #18166]: #18167 +#18175 := [quant-inst #2034 #5342]: #18152 +#18168 := [mp #18175 #18163]: #18156 +#18379 := [unit-resolution #18168 #18542]: #11985 +#18376 := [unit-resolution #18379 #18370 #18378]: #14134 +#15298 := (= #14210 0::Int) +#15302 := (not #15298) +#15303 := (or #15217 #13323 #15302) +#3531 := (or #3896 #3888) +#3535 := [def-axiom]: #3531 +#18380 := [unit-resolution #3535 #18188]: #3888 +#18219 := (or #3893 #15217 #13323 #15302) +#15198 := (+ #2038 #5352) +#15203 := (+ #13325 #15198) +#15204 := (= #15203 0::Int) +#15256 := (not #15204) +#15257 := (or #15115 #13323 #15256) +#18220 := (or #3893 #15257) +#18239 := (iff #18220 #18219) +#18247 := (or #3893 #15303) +#18237 := (iff #18247 #18219) +#18238 := [rewrite]: #18237 +#18253 := (iff #18220 #18247) +#15292 := (iff #15257 #15303) +#15304 := (iff #15256 #15302) +#15275 := (iff #15204 #15298) +#15285 := (= #14129 0::Int) +#15299 := (iff #15285 #15298) +#15297 := [rewrite]: #15299 +#15279 := (iff #15204 #15285) +#15264 := (= #15203 #14129) +#15254 := [rewrite]: #15264 +#15284 := [monotonicity #15254]: #15279 +#15300 := [trans #15284 #15297]: #15275 +#15289 := [monotonicity #15300]: #15304 +#15301 := [monotonicity #15202 #15289]: #15292 +#18254 := [monotonicity #15301]: #18253 +#18236 := [trans #18254 #18238]: #18239 +#18252 := [quant-inst #5342]: #18220 +#18242 := [mp #18252 #18236]: #18219 +#18381 := [unit-resolution #18242 #18380]: #15303 +#18382 := [unit-resolution #18381 #18370 #19109]: #15302 +#18393 := (not #18243) +#18392 := (not #14134) +#18388 := (or #15298 #18392 #18393) +#18394 := [th-lemma arith triangle-eq]: #18388 +#18396 := [unit-resolution #18394 #18382 #18376 #18367]: false +#18397 := [lemma #18396]: #4541 +#16386 := [mp #18397 #16391]: #9410 +#9307 := (not #9956) +#9346 := (or #9307 #9944 #9685) +#9347 := [def-axiom]: #9346 +#16392 := [unit-resolution #9347 #16386 #16374]: #9685 +#9688 := (or #9951 #9687) +#9684 := [def-axiom]: #9688 +#16383 := [unit-resolution #9684 #16392]: #9687 +#16395 := [unit-resolution #16383 #16394]: false +#16405 := [lemma #16395]: #15368 +#16379 := [hypothesis]: #15340 +#15365 := (or #7600 #15327 #15358) +#15362 := (or #15327 #15358) +#15360 := (or #7600 #15362) +#15351 := (iff #15360 #15365) +#15352 := [rewrite]: #15351 +#15364 := [quant-inst #181 #2034]: #15360 +#15353 := [mp #15364 #15352]: #15365 +#16275 := [unit-resolution #15353 #3612 #16379 #16405]: false +#16404 := [lemma #16275]: #15358 +#16322 := [hypothesis]: #12121 +#16307 := (or #15340 #15379 #15402) +#15400 := (or #15340 #15379 #15402 #10624) +#15403 := [th-lemma arith assign-bounds -1 -1 1]: #15400 +#16283 := [unit-resolution #15403 #9459]: #16307 +#16319 := [unit-resolution #16283 #16322 #16404]: #15402 #5241 := (+ #4079 #5123) #5242 := (+ #2037 #5241) #5243 := (= #5242 0::Int) -#11519 := (<= #5242 0::Int) -#7263 := (<= #4080 0::Int) -#7366 := (= #185 #4078) -#4131 := (= #4078 #185) -#16125 := (iff #4131 #7366) -#16136 := (iff #7366 #4131) -#16124 := [commutativity]: #16136 -#16126 := [symm #16124]: #16125 +#12167 := (>= #5242 0::Int) +#16360 := (or #12167 #15379) +#15382 := (or #12167 #10624 #15379) +#14315 := [th-lemma arith assign-bounds -1 1]: #15382 +#16376 := [unit-resolution #14315 #9459]: #16360 +#16377 := [unit-resolution #16376 #16322]: #12167 +#15390 := (not #12167) +#16258 := (or #5243 #15390) +#12074 := (<= #5242 0::Int) +#4339 := (+ #110 #1146) +#7776 := (<= #4339 0::Int) +#4340 := (>= #4339 0::Int) +#9693 := (not #4340) +#4164 := (?v1!7 f28) +#4165 := (f19 f20 #4164) +#4166 := (* -1::Int #4165) +#4167 := (+ #185 #4166) +#4168 := (<= #4167 0::Int) +#7320 := (not #4168) +#4172 := (f6 f7 #4164) +#4173 := (f5 #4172 f28) +#4174 := (f4 #4173) +#4175 := (* -1::Int #4174) +#4176 := (+ #4166 #4175) +#4177 := (+ #185 #4176) +#4178 := (= #4177 0::Int) +#4179 := (not #4178) +#4169 := (f11 f21 #4164) +#4170 := (= #4169 f1) +#4171 := (not #4170) +#4180 := (or #4168 #4171 #4179) +#4181 := (not #4180) +#4335 := (f11 f21 f16) +#4336 := (= #4335 f1) +#13038 := (or #3896 #2040 #4336) +#12906 := [hypothesis]: #3899 +#12800 := [unit-resolution #3535 #12906]: #3888 +#7302 := (not #4336) +#15705 := [hypothesis]: #7302 +#4341 := (or #4336 #4340) +#7485 := (or #3825 #4336 #4340) +#7486 := (or #3825 #4341) +#7488 := (iff #7486 #7485) +#7489 := [rewrite]: #7488 +#7487 := [quant-inst #65]: #7486 +#7490 := [mp #7487 #7489]: #7485 +#15712 := [unit-resolution #7490 #9789]: #4341 +#15713 := [unit-resolution #15712 #15705]: #4340 +#15716 := (or #9693 #4168) +#7756 := (>= #4165 0::Int) +#7707 := (not #7756) +#7708 := [hypothesis]: #7707 +#7822 := (or #3722 #7756) +#7824 := [quant-inst #4164]: #7822 +#7859 := [unit-resolution #7824 #7614 #7708]: false +#7860 := [lemma #7859]: #7756 +#15719 := (or #9693 #7707 #4168) +#7972 := (not #4504) +#15717 := (or #9693 #7972 #7707 #4168) +#15718 := [th-lemma arith assign-bounds -1 1 1]: #15717 +#15721 := [unit-resolution #15718 #7623]: #15719 +#15722 := [unit-resolution #15721 #7860]: #15716 +#15723 := [unit-resolution #15722 #15713]: #4168 +#7326 := (or #4180 #7320) +#7330 := [def-axiom]: #7326 +#15728 := [unit-resolution #7330 #15723]: #4180 +#7978 := (or #4163 #4181) +#3458 := (or #3968 #1323) +#3461 := [def-axiom]: #3458 +#7977 := [unit-resolution #3461 #7802]: #1323 +#7294 := (or #3747 #4163 #1322 #4181) +#4182 := (or #4163 #1322 #4181) +#7297 := (or #3747 #4182) +#7321 := (iff #7297 #7294) +#7323 := [rewrite]: #7321 +#7298 := [quant-inst #181]: #7297 +#7324 := [mp #7298 #7323]: #7294 +#7979 := [unit-resolution #7324 #7427 #7977]: #7978 +#15748 := [unit-resolution #7979 #15728]: #4163 +#11585 := [unit-resolution #3440 #12906]: #2036 +#15405 := (or #15374 #2035 #7583 #3893) +#15369 := (iff #2036 #15368) +#15350 := (iff #2035 #15327) +#15367 := (iff #15327 #2035) +#12076 := (= f16 ?v0!20) +#15366 := (iff #12076 #2035) +#15354 := [commutativity]: #15366 +#15357 := (iff #15327 #12076) +#15317 := [monotonicity #7835]: #15357 +#15318 := [trans #15317 #15354]: #15367 +#15336 := [symm #15318]: #15350 +#15370 := [monotonicity #15336]: #15369 +#15363 := [hypothesis]: #2036 +#15373 := [mp #15363 #15370]: #15368 +#15335 := [hypothesis]: #5182 +#15375 := (or #15374 #12121) +#15376 := [th-lemma arith triangle-eq]: #15375 +#15378 := [unit-resolution #15376 #15335]: #12121 +#15381 := [unit-resolution #14315 #15378 #9459]: #12167 +#12123 := (>= #5179 0::Int) +#14322 := (or #15374 #12123) +#11027 := [th-lemma arith triangle-eq]: #14322 +#15349 := [unit-resolution #11027 #15335]: #12123 +#15265 := (not #12123) +#14563 := (or #12074 #14493 #15265) +#15266 := [th-lemma arith assign-bounds -1 1]: #14563 +#15286 := [unit-resolution #15266 #15349 #10752]: #12074 +#14562 := (not #12074) +#15295 := (or #5243 #14562 #15390) +#15391 := [th-lemma arith triangle-eq]: #15295 +#15392 := [unit-resolution #15391 #15286 #15381]: #5243 +#5248 := (not #5243) +#15394 := (or #5229 #5248) #4429 := (f11 f29 f28) #4430 := (= #4429 f1) #4055 := (f11 #193 f28) @@ -5787,13 +5686,13 @@ #341 := [asserted]: #49 #1523 := [mp~ #341 #1495]: #49 #3639 := [mp #1523 #3638]: #3634 -#7340 := (not #3634) -#7341 := (or #7340 #4056) +#7192 := (not #3634) +#7205 := (or #7192 #4056) #4058 := (iff #4056 #4057) -#7342 := (or #7340 #4058) -#7348 := (iff #7342 #7341) -#7350 := (iff #7341 #7341) -#7244 := [rewrite]: #7350 +#7206 := (or #7192 #4058) +#7227 := (iff #7206 #7205) +#7229 := (iff #7205 #7205) +#7200 := [rewrite]: #7229 #4066 := (iff #4058 #4056) #4061 := (iff #4056 true) #4064 := (iff #4061 #4056) @@ -5801,71 +5700,30 @@ #4062 := (iff #4058 #4061) #4063 := [monotonicity #4060]: #4062 #4067 := [trans #4063 #4065]: #4066 -#7349 := [monotonicity #4067]: #7348 -#7353 := [trans #7349 #7244]: #7348 -#7343 := [quant-inst #115 #181 #3]: #7342 -#7354 := [mp #7343 #7353]: #7341 -#12605 := [unit-resolution #7354 #3639]: #4056 -#12706 := (= #4429 #4055) -#12710 := [monotonicity #12662]: #12706 -#16193 := [trans #12710 #12605]: #4430 +#7228 := [monotonicity #4067]: #7227 +#7201 := [trans #7228 #7200]: #7227 +#7226 := [quant-inst #115 #181 #3]: #7206 +#7199 := [mp #7226 #7201]: #7205 +#15296 := [unit-resolution #7199 #3639]: #4056 +#14014 := (= #4429 #4055) +#15393 := [monotonicity #8144]: #14014 +#15395 := [trans #15393 #15296]: #4430 +#15396 := [hypothesis]: #3888 #4431 := (not #4430) -#4432 := (or #4431 #4131) -#7269 := (or #3860 #4431 #4131) -#7362 := (or #3860 #4432) -#7363 := (iff #7362 #7269) -#7364 := [rewrite]: #7363 -#7360 := [quant-inst #181]: #7362 -#7365 := [mp #7360 #7364]: #7269 -#16189 := [unit-resolution #7365 #16079]: #4432 -#16194 := [unit-resolution #16189 #16193]: #4131 -#16138 := [mp #16194 #16126]: #7366 -#16186 := (not #7366) -#16135 := (or #16186 #7263) -#16139 := [th-lemma arith triangle-eq]: #16135 -#16157 := [unit-resolution #16139 #16138]: #7263 -#10310 := (>= #5179 0::Int) -#12437 := [hypothesis]: #5182 -#12988 := (or #12584 #10310) -#12982 := [th-lemma arith triangle-eq]: #12988 -#12899 := [unit-resolution #12982 #12437]: #10310 -#12990 := (not #10310) -#14609 := (not #7263) -#16158 := (or #11519 #14609 #12990) -#16159 := [th-lemma arith assign-bounds -1 1]: #16158 -#16228 := [unit-resolution #16159 #12899 #16157]: #11519 -#10373 := (>= #5242 0::Int) -#16229 := [unit-resolution #6974 #12445]: #4081 -#10316 := (<= #5179 0::Int) -#12603 := (or #12584 #10316) -#11489 := [th-lemma arith triangle-eq]: #12603 -#12604 := [unit-resolution #11489 #12437]: #10316 -#12705 := (not #10316) -#16235 := (or #10373 #10190 #12705) -#16241 := [th-lemma arith assign-bounds -1 1]: #16235 -#16242 := [unit-resolution #16241 #12604 #16229]: #10373 -#16244 := (not #11519) -#16243 := (not #10373) -#16245 := (or #5243 #16243 #16244) -#16249 := [th-lemma arith triangle-eq]: #16245 -#16215 := [unit-resolution #16249 #16242 #16228]: #5243 -#5248 := (not #5243) -#16216 := (or #5229 #5248) -#13006 := [hypothesis]: #3888 -#11224 := (or #3893 #5229 #4431 #5248) -#5217 := (+ #4078 #5178) -#5220 := (= #5217 0::Int) +#12122 := (or #3893 #5229 #4431 #5248) +#5219 := (+ #4078 #5178) +#5220 := (= #5219 0::Int) #5221 := (not #5220) #5209 := (+ #4078 #2038) #5210 := (>= #5209 0::Int) #5222 := (or #5210 #4431 #5221) -#10746 := (or #3893 #5222) -#13415 := (iff #10746 #11224) +#12125 := (or #3893 #5222) +#12149 := (iff #12125 #12122) #5251 := (or #5229 #4431 #5248) -#13664 := (or #3893 #5251) -#11836 := (iff #13664 #11224) -#11867 := [rewrite]: #11836 -#12522 := (iff #10746 #13664) +#12146 := (or #3893 #5251) +#12083 := (iff #12146 #12122) +#12143 := [rewrite]: #12083 +#12131 := (iff #12125 #12146) #5252 := (iff #5222 #5251) #5249 := (iff #5221 #5248) #5246 := (iff #5220 #5243) @@ -5875,7 +5733,7 @@ #5244 := (iff #5238 #5243) #5245 := [rewrite]: #5244 #5239 := (iff #5220 #5238) -#5236 := (= #5217 #5235) +#5236 := (= #5219 #5235) #5237 := [rewrite]: #5236 #5240 := [monotonicity #5237]: #5239 #5247 := [trans #5240 #5245]: #5246 @@ -5891,48 +5749,300 @@ #5228 := [monotonicity #5225]: #5227 #5233 := [trans #5228 #5231]: #5232 #5253 := [monotonicity #5233 #5250]: #5252 -#11978 := [monotonicity #5253]: #12522 -#12915 := [trans #11978 #11867]: #13415 -#10907 := [quant-inst #181]: #10746 -#11685 := [mp #10907 #12915]: #11224 -#16217 := [unit-resolution #11685 #13006 #16193]: #16216 -#16220 := [unit-resolution #16217 #16215]: #5229 -#16221 := (not #5229) -#16195 := (or #12259 #16243 #16221) -#16222 := [th-lemma arith assign-bounds 1 -1]: #16195 -#16223 := [unit-resolution #16222 #16242 #16220]: #12259 -#12250 := (not #12259) -#12251 := (or #12244 #12250) -#16038 := (or #7204 #12244 #12250) -#16039 := (or #7204 #12251) -#16034 := (iff #16039 #16038) -#16042 := [rewrite]: #16034 -#16004 := [quant-inst #181 #2034]: #16039 -#16043 := [mp #16004 #16042]: #16038 -#16224 := [unit-resolution #16043 #3612]: #12251 -#16214 := [unit-resolution #16224 #16223 #16192]: false -#16248 := [lemma #16214]: #16225 -#13535 := [unit-resolution #16248 #13462 #11676]: #11448 -#10531 := (or #11454 #15044) -#10525 := [def-axiom]: #10531 -#13564 := [unit-resolution #10525 #13535]: #11454 -#10513 := (not #11454) -#10578 := (or #10516 #11447 #10513) -#10577 := [def-axiom]: #10578 -#13561 := [unit-resolution #10577 #13564]: #13559 -#13556 := [unit-resolution #13561 #13463]: #11447 -#13567 := (= #4533 #11446) -#13557 := [monotonicity #12662]: #13567 -#13603 := [trans #13557 #13556]: #4534 -#4541 := (not #4534) -#5090 := (or #4541 #5087) -#10267 := (or #3860 #4541 #5087) -#10275 := (or #3860 #5090) -#10272 := (iff #10275 #10267) -#10278 := [rewrite]: #10272 -#10276 := [quant-inst #2034]: #10275 -#10292 := [mp #10276 #10278]: #10267 -#12904 := [unit-resolution #10292 #16079]: #5090 -#13444 := [unit-resolution #12904 #13464]: #4541 -[unit-resolution #13444 #13603]: false +#12082 := [monotonicity #5253]: #12131 +#12147 := [trans #12082 #12143]: #12149 +#12075 := [quant-inst #181]: #12125 +#12124 := [mp #12075 #12147]: #12122 +#15399 := [unit-resolution #12124 #15396 #15395]: #15394 +#15401 := [unit-resolution #15399 #15392]: #5229 +#15397 := [unit-resolution #15403 #15378 #15401 #9459]: #15340 +#15398 := [unit-resolution #15353 #3612]: #15362 +#15404 := [unit-resolution #15398 #15397 #15373]: false +#15406 := [lemma #15404]: #15405 +#11721 := [unit-resolution #15406 #11585 #15748 #12800]: #15374 +#12105 := (not #5125) +#5149 := (not #5146) +#15784 := (or #15969 #4336 #2040 #2035) +#15708 := [unit-resolution #15971 #15965 #13634]: #15968 +#15709 := [unit-resolution #12292 #7427 #15363]: #15703 +#15710 := [unit-resolution #15709 #15708]: #5359 +#12264 := (or #5358 #5348) +#12306 := [def-axiom]: #12264 +#15453 := [unit-resolution #12306 #15710]: #5348 +#15775 := (= #4335 #5347) +#15780 := (= #182 #5347) +#15777 := (= f28 #5342) +#15752 := (= f16 #5342) +#13856 := (= #5342 f16) +#13857 := (?v1!7 #5342) +#13952 := (f6 f7 #13857) +#13906 := (f5 #13952 #5342) +#13881 := (f4 #13906) +#13913 := (* -1::Int #13881) +#13835 := (f19 f20 #13857) +#13871 := (* -1::Int #13835) +#13806 := (+ #13871 #13913) +#11518 := (+ #5343 #13806) +#11879 := (= #11518 0::Int) +#13861 := (not #11879) +#13937 := (f11 f21 #13857) +#13943 := (= #13937 f1) +#13938 := (not #13943) +#13870 := (+ #5343 #13871) +#13936 := (<= #13870 0::Int) +#11576 := (or #13936 #13938 #13861) +#12649 := (+ #185 #5344) +#12802 := (>= #12649 0::Int) +#11633 := (or #3731 #183 #5349 #12802) +#11028 := (or #183 #5349 #12802) +#12259 := (or #3731 #11028) +#11754 := (iff #12259 #11633) +#12879 := [rewrite]: #11754 +#12287 := [quant-inst #5342 #181]: #12259 +#12883 := [mp #12287 #12879]: #11633 +#15747 := [unit-resolution #12883 #8156 #8155 #15453]: #12802 +#17243 := (not #12802) +#17244 := (or #13936 #9693 #17243) +#17239 := [hypothesis]: #12802 +#14038 := (not #13936) +#17240 := [hypothesis]: #14038 +#17043 := (>= #13835 0::Int) +#17063 := (or #3722 #17043) +#17064 := [quant-inst #13857]: #17063 +#17241 := [unit-resolution #17064 #7614]: #17043 +#9714 := [hypothesis]: #4340 +#17242 := [th-lemma arith farkas -1 1 1 1 1 #7623 #9714 #17241 #17240 #17239]: false +#17245 := [lemma #17242]: #17244 +#15749 := [unit-resolution #17245 #15747 #15713]: #13936 +#14010 := (or #11576 #14038) +#14095 := [def-axiom]: #14010 +#15750 := [unit-resolution #14095 #15749]: #11576 +#13847 := (+ f3 #5344) +#13841 := (<= #13847 0::Int) +#16579 := (not #13841) +#15746 := [unit-resolution #12297 #15710]: #12311 +#16524 := (or #16579 #2040 #15969 #5346) +#16576 := [hypothesis]: #13841 +#16577 := [hypothesis]: #12311 +#16578 := [th-lemma arith farkas 1 1 1 1 #13634 #15965 #16577 #16576]: false +#16580 := [lemma #16578]: #16524 +#15711 := [unit-resolution #16580 #15965 #13634 #15746]: #16579 +#13912 := (not #11576) +#13915 := (or #13856 #13841 #13912) +#14033 := (or #3747 #13856 #13841 #13912) +#14036 := (or #3747 #13915) +#14009 := (iff #14036 #14033) +#14008 := [rewrite]: #14009 +#14011 := [quant-inst #5342]: #14036 +#14037 := [mp #14011 #14008]: #14033 +#15720 := [unit-resolution #14037 #7427]: #13915 +#15751 := [unit-resolution #15720 #15711 #15750]: #13856 +#15753 := [symm #15751]: #15752 +#15778 := [trans #15748 #15753]: #15777 +#15754 := [monotonicity #15778]: #15780 +#15776 := (= #4335 #182) +#15727 := [symm #15748]: #7836 +#15779 := [monotonicity #15727]: #15776 +#15782 := [trans #15779 #15754]: #15775 +#15783 := [trans #15782 #15453]: #4336 +#15781 := [unit-resolution #15705 #15783]: false +#15786 := [lemma #15781]: #15784 +#12801 := [unit-resolution #15786 #11585 #13634 #15705]: #15969 +#12564 := [unit-resolution #12636 #12801]: #11867 +#5152 := (or #5149 #5087) +#11970 := (or #3843 #5149 #5087) +#5126 := (+ #1146 #5123) +#5127 := (+ #5080 #5126) +#5128 := (<= #5127 0::Int) +#5129 := (or #5125 #5128) +#5130 := (not #5129) +#5131 := (or #5130 #5087) +#12023 := (or #3843 #5131) +#12067 := (iff #12023 #11970) +#12068 := (or #3843 #5152) +#12042 := (iff #12068 #11970) +#12107 := [rewrite]: #12042 +#12058 := (iff #12023 #12068) +#5153 := (iff #5131 #5152) +#5150 := (iff #5130 #5149) +#5147 := (iff #5129 #5146) +#5144 := (iff #5128 #5141) +#5132 := (+ #5080 #5123) +#5133 := (+ #1146 #5132) +#5136 := (<= #5133 0::Int) +#5142 := (iff #5136 #5141) +#5143 := [rewrite]: #5142 +#5137 := (iff #5128 #5136) +#5134 := (= #5127 #5133) +#5135 := [rewrite]: #5134 +#5138 := [monotonicity #5135]: #5137 +#5145 := [trans #5138 #5143]: #5144 +#5148 := [monotonicity #5145]: #5147 +#5151 := [monotonicity #5148]: #5150 +#5154 := [monotonicity #5151]: #5153 +#12062 := [monotonicity #5154]: #12058 +#12070 := [trans #12062 #12107]: #12067 +#12017 := [quant-inst #2034]: #12023 +#12084 := [mp #12017 #12070]: #11970 +#9728 := [unit-resolution #12084 #7803]: #5152 +#12860 := [unit-resolution #9728 #12564]: #5149 +#12072 := (or #5146 #12105) +#12071 := [def-axiom]: #12072 +#13044 := [unit-resolution #12071 #12860]: #12105 +#12081 := (not #5141) +#12073 := (or #5146 #12081) +#12118 := [def-axiom]: #12073 +#13025 := [unit-resolution #12118 #12860]: #12081 +#5185 := (or #5125 #5141 #5182) +#12077 := (or #3835 #5125 #5141 #5182) +#5174 := (+ #5122 #2038) +#5175 := (+ #185 #5174) +#5176 := (= #5175 0::Int) +#5177 := (or #5125 #5128 #5176) +#12079 := (or #3835 #5177) +#12130 := (iff #12079 #12077) +#12113 := (or #3835 #5185) +#12114 := (iff #12113 #12077) +#12129 := [rewrite]: #12114 +#12117 := (iff #12079 #12113) +#5186 := (iff #5177 #5185) +#5183 := (iff #5176 #5182) +#5180 := (= #5175 #5179) +#5181 := [rewrite]: #5180 +#5184 := [monotonicity #5181]: #5183 +#5187 := [monotonicity #5145 #5184]: #5186 +#12115 := [monotonicity #5187]: #12117 +#12109 := [trans #12115 #12129]: #12130 +#12120 := [quant-inst #2034]: #12079 +#12128 := [mp #12120 #12109]: #12077 +#11095 := [unit-resolution #12128 #7967]: #5185 +#13026 := [unit-resolution #11095 #13025 #13044 #11721]: false +#11841 := [lemma #13026]: #13038 +#18190 := [unit-resolution #11841 #18188 #18189]: #4336 +#9665 := (or #7583 #7302) +#8260 := [hypothesis]: #4336 +#9629 := (= #182 #4335) +#9567 := [monotonicity #7835]: #9629 +#7820 := [trans #9567 #8260]: #183 +#7888 := [unit-resolution #8155 #7820]: false +#7765 := [lemma #7888]: #9665 +#18191 := [unit-resolution #7765 #18190]: #7583 +#18192 := [unit-resolution #7979 #18191]: #4181 +#18193 := [unit-resolution #7330 #18192]: #7320 +#16378 := [unit-resolution #15722 #18193]: #9693 +#16277 := (or #7776 #4340) +#16270 := [th-lemma arith farkas 1 1]: #16277 +#16406 := [unit-resolution #16270 #16378]: #7776 +#9345 := (not #7776) +#12779 := (or #12074 #9345 #2040 #3885) +#12732 := [hypothesis]: #14562 +#12904 := (or #5125 #12074) +#12870 := [hypothesis]: #3880 +#12757 := (or #3885 #4431 #5125 #12074) +#15309 := (+ #5122 #5209) +#15305 := (>= #15309 0::Int) +#15310 := (or #4431 #5125 #15305) +#12733 := (or #3885 #15310) +#12657 := (iff #12733 #12757) +#15344 := (or #4431 #5125 #12074) +#12731 := (or #3885 #15344) +#12778 := (iff #12731 #12757) +#12664 := [rewrite]: #12778 +#12760 := (iff #12733 #12731) +#15345 := (iff #15310 #15344) +#15319 := (iff #15305 #12074) +#15287 := (>= #5235 0::Int) +#15315 := (iff #15287 #12074) +#15321 := [rewrite]: #15315 +#15312 := (iff #15305 #15287) +#15307 := (= #15309 #5235) +#15311 := [rewrite]: #15307 +#15313 := [monotonicity #15311]: #15312 +#15342 := [trans #15313 #15321]: #15319 +#15343 := [monotonicity #15342]: #15345 +#12770 := [monotonicity #15343]: #12760 +#12730 := [trans #12770 #12664]: #12657 +#12432 := [quant-inst #2034 #181]: #12733 +#12772 := [mp #12432 #12730]: #12757 +#12909 := [unit-resolution #12772 #12870 #15395]: #12904 +#12907 := [unit-resolution #12909 #12732]: #5125 +#12775 := (or #12167 #12074) +#12881 := [th-lemma arith farkas 1 1]: #12775 +#12865 := [unit-resolution #12881 #12732]: #12167 +#9736 := [hypothesis]: #7776 +#3233 := (>= #110 0::Int) +#4506 := (or #3722 #3233) +#4549 := [quant-inst #65]: #4506 +#9790 := [unit-resolution #4549 #7614]: #3233 +#12861 := [th-lemma arith farkas 1 1 1 1 -1 1 #10752 #9790 #9736 #12865 #12907 #13634]: false +#12858 := [lemma #12861]: #12779 +#16384 := [unit-resolution #12858 #16406 #18189 #18542]: #12074 +#16235 := [unit-resolution #15391 #16384]: #16258 +#16285 := [unit-resolution #16235 #16377]: #5243 +#16416 := [unit-resolution #12124 #18380]: #5251 +#16417 := [unit-resolution #16416 #15395]: #15394 +#16408 := [unit-resolution #16417 #16285 #16319]: false +#16407 := [lemma #16408]: #15379 +#16321 := [unit-resolution #15376 #16407]: #15374 +#16309 := [hypothesis]: #5149 +#16410 := [unit-resolution #12071 #16309]: #12105 +#16431 := [unit-resolution #12118 #16309]: #12081 +#16434 := [unit-resolution #11095 #16431 #16410 #16321]: false +#16432 := [lemma #16434]: #5146 +#16614 := [unit-resolution #9728 #16432]: #5087 +#16615 := [unit-resolution #12636 #16614]: #12022 +#16603 := [unit-resolution #19099 #16615]: #15968 +#16597 := [unit-resolution #19102 #16603]: #5359 +#16549 := [unit-resolution #15554 #16597]: #5356 +#16573 := [unit-resolution #18361 #16549]: #15530 +#16590 := [unit-resolution #18365 #19087 #16615 #16573]: #18243 +#16554 := [unit-resolution #18373 #18368 #16573 #16615]: #18369 +#16552 := (f11 #193 #5342) +#16553 := (= #16552 f1) +#16559 := (= #5342 f28) +#16561 := (or #16559 #5348) +#16545 := (iff #16553 #16561) +#16568 := (or #7518 #16545) +#16522 := (if #16559 #4057 #5348) +#16560 := (iff #16553 #16522) +#16569 := (or #7518 #16560) +#16571 := (iff #16569 #16568) +#16563 := (iff #16568 #16568) +#16588 := [rewrite]: #16563 +#16567 := (iff #16560 #16545) +#16564 := (iff #16522 #16561) +#16557 := (if #16559 true #5348) +#16565 := (iff #16557 #16561) +#16547 := [rewrite]: #16565 +#16562 := (iff #16522 #16557) +#16548 := [monotonicity #4060]: #16562 +#16566 := [trans #16548 #16547]: #16564 +#16546 := [monotonicity #16566]: #16567 +#16574 := [monotonicity #16546]: #16571 +#16586 := [trans #16574 #16588]: #16571 +#16572 := [quant-inst #115 #181 #3 #5342]: #16569 +#16589 := [mp #16572 #16586]: #16568 +#16611 := [unit-resolution #16589 #3646]: #16545 +#16373 := (not #16545) +#16635 := (or #16373 #16553) +#16598 := [unit-resolution #12306 #16597]: #5348 +#15874 := (or #16561 #5349) +#16585 := [def-axiom]: #15874 +#16596 := [unit-resolution #16585 #16598]: #16561 +#15886 := (not #16561) +#16515 := (or #16373 #16553 #15886) +#16581 := [def-axiom]: #16515 +#16599 := [unit-resolution #16581 #16596]: #16635 +#16620 := [unit-resolution #16599 #16611]: #16553 +#16621 := (= #13322 #16552) +#16619 := [monotonicity #8144]: #16621 +#16595 := [trans #16619 #16620]: #13321 +#16610 := [hypothesis]: #13323 +#16622 := [unit-resolution #16610 #16595]: false +#16600 := [lemma #16622]: #13321 +#16372 := [unit-resolution #18379 #16600 #16554]: #14134 +#16550 := [unit-resolution #12297 #16597]: #12311 +#16043 := [unit-resolution #19108 #19087 #16615 #16550]: #19105 +#16044 := [unit-resolution #18381 #16600 #16043]: #15302 +[unit-resolution #18394 #16044 #16372 #16590]: false unsat diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/Boogie_Dijkstra.thy --- a/src/HOL/Boogie/Examples/Boogie_Dijkstra.thy Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Dijkstra.thy Tue Jan 01 11:36:30 2013 +0100 @@ -44,7 +44,7 @@ havoc Visited; assume (forall x: Vertex :: !Visited[x]); - + while ((exists x: Vertex :: !Visited[x] && SP[x] < Infinity)) invariant (SP[Source] == 0); invariant (forall x: Vertex :: SP[x] >= 0); @@ -81,13 +81,13 @@ boogie_open "Boogie_Dijkstra.b2i" +declare [[smt_oracle = false]] declare [[smt_certificates = "Boogie_Dijkstra.certs"]] declare [[smt_read_only_certificates = true]] -declare [[smt_oracle = false]] boogie_vc Dijkstra by boogie -boogie_end +boogie_end end diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/Boogie_Max.certs --- a/src/HOL/Boogie/Examples/Boogie_Max.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Max.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,4 +1,4 @@ -1a4173e577cb1c2445a5c7913a23b8824b6da092 2068 0 +eee9884a5180a7912a5ef68307278a15fda1f81a 2068 0 #2 := false decl f16 :: (-> S11 Int Int) decl ?v0!3 :: Int @@ -1931,17 +1931,17 @@ #2471 := (= f19 ?v0!3) #2412 := (+ f19 #1307) #2468 := (>= #2412 0::Int) -#2126 := (>= #801 -1::Int) +#1836 := (>= #801 -1::Int) #2069 := (or #2249 #800) #2079 := [def-axiom]: #2069 #2519 := [unit-resolution #2079 #2493]: #800 -#2520 := (or #804 #2126) +#2520 := (or #804 #1836) #2521 := [th-lemma arith triangle-eq]: #2520 -#2522 := [unit-resolution #2521 #2519]: #2126 +#2522 := [unit-resolution #2521 #2519]: #1836 #1839 := (or #1562 #1314) #2117 := [def-axiom]: #1839 #2523 := [unit-resolution #2117 #2506]: #1314 -#2524 := (not #2126) +#2524 := (not #1836) #2525 := (or #2468 #1309 #2524) #2526 := [th-lemma arith assign-bounds 1 1]: #2525 #2527 := [unit-resolution #2526 #2523 #2522]: #2468 @@ -2053,7 +2053,7 @@ #2094 := (or #2243 #800) #2092 := [def-axiom]: #2094 #2575 := [unit-resolution #2092 #2400]: #800 -#2576 := [unit-resolution #2521 #2575]: #2126 +#2576 := [unit-resolution #2521 #2575]: #1836 #2577 := [unit-resolution #2117 #2568]: #1314 #2578 := [unit-resolution #2526 #2577 #2576]: #2468 #2103 := (or #2243 #816) diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/Boogie_Max.thy --- a/src/HOL/Boogie/Examples/Boogie_Max.thy Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Max.thy Tue Jan 01 11:36:30 2013 +0100 @@ -38,9 +38,9 @@ boogie_open "Boogie_Max.b2i" +declare [[smt_oracle = false]] declare [[smt_certificates = "Boogie_Max.certs"]] declare [[smt_read_only_certificates = true]] -declare [[smt_oracle = false]] boogie_vc max by boogie diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/VCC_Max.certs --- a/src/HOL/Boogie/Examples/VCC_Max.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/VCC_Max.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,4 +1,5 @@ -6251e8618aec972cc2cf1ba9a08a1bd063814dcc 6998 2 +9a9ab80682b150e7787270177bdf3c56aeb0e8b5 6998 0 +WARNING: For problems containing quantifiers, the model finding capabilities of Z3 work better when the formula does not contain nested quantifiers. You can use PULL_NESTED_QUANTIFIERS=true to eliminate nested quantifiers. #2 := false #184 := 0::Int decl f20 :: (-> S16 S10 Int) @@ -46,7 +47,7 @@ #5004 := f483 #12505 := (* -1::Int f483) #12568 := (+ f475 #12505) -#21385 := (>= #12568 -1::Int) +#21386 := (>= #12568 -1::Int) #12567 := (= #12568 -1::Int) decl f481 :: Int #4994 := f481 @@ -287,7 +288,7 @@ #17027 := (not #4974) #25647 := (or #17027 #25646) #25648 := (not #25647) -#25738 := [hypothesis]: #25647 +#25740 := [hypothesis]: #25647 decl f15 :: (-> S12 S11 S1) decl f31 :: (-> S23 S10 S11) #4696 := (f20 f179 #4695) @@ -3994,8 +3995,8 @@ #24440 := [def-axiom]: #24439 #24948 := [unit-resolution #24440 #24901 #24689]: #24104 #24648 := (or #24105 #24067 #24103) -#24435 := [def-axiom]: #24648 -#24949 := [unit-resolution #24435 #24948 #25001]: #24103 +#24437 := [def-axiom]: #24648 +#24949 := [unit-resolution #24437 #24948 #25001]: #24103 #22689 := (f26 f14) #22690 := (= #22689 f29) #22697 := (iff #3535 #22690) @@ -4018,7 +4019,7 @@ #22707 := (or #22702 #22706 #22690) #22708 := [def-axiom]: #22707 #24817 := [unit-resolution #22708 #9904]: #24816 -#24437 := [unit-resolution #24817 #24914]: #22690 +#24436 := [unit-resolution #24817 #24914]: #22690 #24952 := (= #24069 #22689) #24960 := (= #24068 f14) #24946 := (or #24206 #23898) @@ -4030,7 +4031,7 @@ #24540 := [monotonicity #24997]: #24951 #24961 := [trans #24540 #24950]: #24960 #24953 := [monotonicity #24961]: #24952 -#24945 := [trans #24953 #24437]: #24070 +#24945 := [trans #24953 #24436]: #24070 #24193 := (not #23991) #24967 := (iff #24193 #24075) #24628 := (iff #23991 #24074) @@ -4353,10 +4354,10 @@ #24916 := [hypothesis]: #24084 #24902 := (= #24208 #24083) #24852 := (= #24205 #24082) -#24732 := (= #24204 #24076) -#24733 := (= #23860 #24072) -#24898 := [symm #25184]: #24733 -#24851 := [monotonicity #24898]: #24732 +#24731 := (= #24204 #24076) +#24732 := (= #23860 #24072) +#24898 := [symm #25184]: #24732 +#24851 := [monotonicity #24898]: #24731 #24869 := [monotonicity #24851]: #24852 #24903 := [monotonicity #24869]: #24902 #24920 := [trans #24903 #24916]: #24209 @@ -4392,8 +4393,8 @@ #9822 := [asserted]: #3339 #16700 := [mp~ #9822 #16699]: #3339 #20697 := [mp #16700 #20696]: #20694 -#24436 := (not #20694) -#24847 := (or #24436 #24214) +#24435 := (not #20694) +#24847 := (or #24435 #24214) #24835 := [quant-inst #23860]: #24847 #24684 := [unit-resolution #24835 #20697]: #24214 #24899 := (or #24213 #24836) @@ -6094,10 +6095,10 @@ #22099 := [def-axiom]: #22098 #25712 := [unit-resolution #22099 #25678]: #12750 #25676 := (or #25675 #12751 #17520) -#25667 := [hypothesis]: #22077 +#25669 := [hypothesis]: #22077 #25670 := [hypothesis]: #12750 #25673 := [hypothesis]: #24661 -#25674 := [th-lemma arith farkas -1 -1 1 #25673 #25670 #25667]: false +#25674 := [th-lemma arith farkas -1 -1 1 #25673 #25670 #25669]: false #25677 := [lemma #25674]: #25676 #25713 := [unit-resolution #25677 #25712 #25711]: #25675 #25717 := (or #24661 #24673) @@ -6190,10 +6191,10 @@ #25657 := [trans #25654 #25658]: #25659 #25661 := [monotonicity #25657]: #25656 #25671 := [monotonicity #25661]: #25666 -#25668 := [trans #25671 #24699]: #25644 +#25667 := [trans #25671 #24699]: #25644 #25664 := [quant-inst #4688 #4694 #23310 #4685 #4829 #20]: #25663 -#25669 := [mp #25664 #25668]: #25662 -#25746 := [unit-resolution #25669 #20130 #9904 #13302 #25745 #25744 #24326 #25738]: false +#25668 := [mp #25664 #25667]: #25662 +#25746 := [unit-resolution #25668 #20130 #9904 #13302 #25745 #25744 #24326 #25740]: false #25747 := [lemma #25746]: #25648 #25572 := (or #25647 #4974) #25591 := [def-axiom]: #25572 @@ -6313,13 +6314,13 @@ #25618 := [monotonicity #25616]: #25617 #25619 := [trans #25618 #25599]: #25459 #25466 := (not #25459) -#25592 := [hypothesis]: #25460 +#25594 := [hypothesis]: #25460 #25596 := (or #25465 #25466) #25595 := [hypothesis]: #17024 #25467 := (or #25465 #4972 #25466) #25468 := [def-axiom]: #25467 #25597 := [unit-resolution #25468 #25595]: #25596 -#25598 := [unit-resolution #25597 #25592]: #25466 +#25598 := [unit-resolution #25597 #25594]: #25466 #25620 := [unit-resolution #25598 #25619]: false #25622 := [lemma #25620]: #25621 #25845 := [unit-resolution #25622 #25584]: #4972 @@ -6330,21 +6331,21 @@ #26282 := [monotonicity #26467]: #26429 #26285 := [trans #26282 #26368]: #25570 #26455 := [monotonicity #26285]: #26263 -#26378 := [trans #26455 #24437]: #25779 +#26378 := [trans #26455 #24436]: #25779 #25565 := (not #25646) #26459 := (iff #25565 #25784) #26432 := (iff #25646 #25783) #26435 := (iff #25783 #25646) #26380 := (= #25782 #25634) -#26826 := (= #25781 #25534) -#26827 := [monotonicity #26467]: #26826 -#26437 := [monotonicity #26827]: #26380 +#26824 := (= #25781 #25534) +#26825 := [monotonicity #26467]: #26824 +#26437 := [monotonicity #26825]: #26380 #26438 := [monotonicity #26437]: #26435 #26436 := [symm #26438]: #26432 #26396 := [monotonicity #26436]: #26459 -#25593 := (or #25647 #25565) -#25594 := [def-axiom]: #25593 -#25892 := [unit-resolution #25594 #25747]: #25565 +#25592 := (or #25647 #25565) +#25593 := [def-axiom]: #25592 +#25892 := [unit-resolution #25593 #25747]: #25565 #25915 := [mp #25892 #26396]: #25784 #25971 := (or #25789 #25783) #25866 := [def-axiom]: #25971 @@ -6395,10 +6396,10 @@ #26671 := (or #26515 #26509) #26672 := [def-axiom]: #26671 #26431 := [unit-resolution #26672 #26707]: #26509 -#26868 := (or #26512 #25795) -#26864 := (= #25794 #4701) -#26838 := (= #25785 #4697) -#26836 := (= #25785 #23981) +#26866 := (or #26512 #25795) +#26862 := (= #25794 #4701) +#26836 := (= #25785 #4697) +#26834 := (= #25785 #23981) #26397 := (f107 #25017 f475) #26398 := (f106 #26397 f14) #26399 := (f101 #4915 #26398) @@ -6435,15 +6436,15 @@ #26389 := [lemma #26567]: #26412 #25918 := (or #26411 #26401) #25919 := [def-axiom]: #25918 -#26848 := [unit-resolution #25919 #26389]: #26401 -#26834 := (= #25785 #26400) -#26832 := (= #25781 #26399) -#26830 := (= #25534 #26399) -#26828 := (= #26399 #25534) -#26824 := (= #26398 #4969) +#26846 := [unit-resolution #25919 #26389]: #26401 +#26832 := (= #25785 #26400) +#26830 := (= #25781 #26399) +#26828 := (= #25534 #26399) +#26826 := (= #26399 #25534) +#26822 := (= #26398 #4969) #24706 := (f20 f179 #4969) #25632 := (f53 #4693 #24706) -#26818 := (= #25632 #4969) +#26816 := (= #25632 #4969) #25722 := (= #4969 #25632) #25732 := (or #23327 #17024 #25722) #25730 := (or #17024 #25722) @@ -6452,54 +6453,52 @@ #25736 := [rewrite]: #25735 #25734 := [quant-inst #4969 #20]: #25733 #25737 := [mp #25734 #25736]: #25732 -#26735 := [unit-resolution #25737 #16720 #25845]: #25722 -#26819 := [symm #26735]: #26818 -#26822 := (= #26398 #25632) -#26816 := (= #26506 #25632) -#26806 := (= #26503 #24706) -#26720 := (= #24706 #26503) -#26728 := (* -1::Int #25486) -#26676 := (* -1::Int #24787) -#26729 := (+ #26676 #26728) -#26730 := (+ #24706 #26729) -#26731 := (<= #26730 0::Int) +#26733 := [unit-resolution #25737 #16720 #25845]: #25722 +#26817 := [symm #26733]: #26816 +#26820 := (= #26398 #25632) +#26814 := (= #26506 #25632) +#26804 := (= #26503 #24706) +#26726 := (= #24706 #26503) +#26727 := (* -1::Int #26503) +#26728 := (+ #24706 #26727) +#26729 := (<= #26728 0::Int) #24466 := (* -1::Int #23868) #24469 := (+ #22387 #24466) #24471 := (>= #24469 0::Int) #24465 := (= #22387 #23868) -#26739 := (= #4696 #23868) -#26737 := (= #23868 #4696) -#26736 := [trans #24353 #25602]: #24356 -#26738 := [monotonicity #26736]: #26737 -#26740 := [symm #26738]: #26739 -#26741 := [trans #25148 #26740]: #24465 -#26742 := (not #24465) -#26778 := (or #26742 #24471) -#26779 := [th-lemma arith triangle-eq]: #26778 -#26780 := [unit-resolution #26779 #26741]: #24471 +#26737 := (= #4696 #23868) +#26735 := (= #23868 #4696) +#26734 := [trans #24353 #25602]: #24356 +#26736 := [monotonicity #26734]: #26735 +#26738 := [symm #26736]: #26737 +#26739 := [trans #25148 #26738]: #24465 +#26740 := (not #24465) +#26776 := (or #26740 #24471) +#26777 := [th-lemma arith triangle-eq]: #26776 +#26778 := [unit-resolution #26777 #26739]: #24471 #25427 := (* -1::Int #24276) #25428 := (+ #23868 #25427) #25430 := (>= #25428 0::Int) #25426 := (= #23868 #24276) -#26746 := (= #24276 #23868) -#26747 := [monotonicity #24997]: #26746 -#26748 := [symm #26747]: #25426 -#26749 := (not #25426) -#26781 := (or #26749 #25430) -#26782 := [th-lemma arith triangle-eq]: #26781 -#26783 := [unit-resolution #26782 #26748]: #25430 +#26744 := (= #24276 #23868) +#26745 := [monotonicity #24997]: #26744 +#26746 := [symm #26745]: #25426 +#26747 := (not #25426) +#26779 := (or #26747 #25430) +#26780 := [th-lemma arith triangle-eq]: #26779 +#26781 := [unit-resolution #26780 #26746]: #25430 #25573 := (f20 f179 #25492) #25580 := (* -1::Int #25573) #25768 := (+ #24706 #25580) #25771 := (<= #25768 0::Int) -#25765 := (= #24706 #25573) -#26753 := (= #25573 #24706) -#26754 := [monotonicity #26467]: #26753 -#26755 := [symm #26754]: #25765 -#26756 := (not #25765) -#26784 := (or #26756 #25771) -#26785 := [th-lemma arith triangle-eq]: #26784 -#26786 := [unit-resolution #26785 #26755]: #25771 +#25767 := (= #24706 #25573) +#26751 := (= #25573 #24706) +#26752 := [monotonicity #26467]: #26751 +#26753 := [symm #26752]: #25767 +#26754 := (not #25767) +#26782 := (or #26754 #25771) +#26783 := [th-lemma arith triangle-eq]: #26782 +#26784 := [unit-resolution #26783 #26753]: #25771 #25581 := (+ #25486 #25580) #25582 := (+ #24276 #25581) #25766 := (>= #25582 0::Int) @@ -6516,87 +6515,88 @@ #25763 := [trans #25760 #25762]: #25759 #25758 := [quant-inst #20 #25489]: #25757 #25764 := [mp #25758 #25763]: #25748 -#26760 := [unit-resolution #25764 #21691]: #25578 -#26761 := (not #25578) -#26787 := (or #26761 #25766) -#26788 := [th-lemma arith triangle-eq]: #26787 -#26789 := [unit-resolution #26788 #26760]: #25766 +#26758 := [unit-resolution #25764 #21691]: #25578 +#26759 := (not #25578) +#26785 := (or #26759 #25766) +#26786 := [th-lemma arith triangle-eq]: #26785 +#26787 := [unit-resolution #26786 #26758]: #25766 +#26676 := (* -1::Int #24787) #26677 := (+ #22387 #26676) #26678 := (<= #26677 0::Int) #26675 := (= #22387 #24787) -#26765 := [symm #25150]: #26675 -#26766 := (not #26675) -#26790 := (or #26766 #26678) -#26791 := [th-lemma arith triangle-eq]: #26790 -#26792 := [unit-resolution #26791 #26765]: #26678 -#26797 := (not #24471) -#26796 := (not #26678) -#26795 := (not #25430) -#26794 := (not #25766) -#26793 := (not #25771) -#26798 := (or #26731 #26793 #26794 #26795 #26796 #26797) -#26799 := [th-lemma arith assign-bounds -1 1 1 -1 1]: #26798 -#26800 := [unit-resolution #26799 #26792 #26789 #26786 #26783 #26780]: #26731 -#26732 := (>= #26730 0::Int) +#26763 := [symm #25150]: #26675 +#26764 := (not #26675) +#26788 := (or #26764 #26678) +#26789 := [th-lemma arith triangle-eq]: #26788 +#26790 := [unit-resolution #26789 #26763]: #26678 +#26795 := (not #24471) +#26794 := (not #26678) +#26793 := (not #25430) +#26792 := (not #25766) +#26791 := (not #25771) +#26796 := (or #26729 #26791 #26792 #26793 #26794 #26795) +#26797 := [th-lemma arith assign-bounds -1 1 1 -1 1]: #26796 +#26798 := [unit-resolution #26797 #26790 #26787 #26784 #26781 #26778]: #26729 +#26730 := (>= #26728 0::Int) #24470 := (<= #24469 0::Int) -#26743 := (or #26742 #24470) -#26744 := [th-lemma arith triangle-eq]: #26743 -#26745 := [unit-resolution #26744 #26741]: #24470 +#26741 := (or #26740 #24470) +#26742 := [th-lemma arith triangle-eq]: #26741 +#26743 := [unit-resolution #26742 #26739]: #24470 #25429 := (<= #25428 0::Int) -#26750 := (or #26749 #25429) -#26751 := [th-lemma arith triangle-eq]: #26750 -#26752 := [unit-resolution #26751 #26748]: #25429 +#26748 := (or #26747 #25429) +#26749 := [th-lemma arith triangle-eq]: #26748 +#26750 := [unit-resolution #26749 #26746]: #25429 #25772 := (>= #25768 0::Int) -#26757 := (or #26756 #25772) -#26758 := [th-lemma arith triangle-eq]: #26757 -#26759 := [unit-resolution #26758 #26755]: #25772 -#25767 := (<= #25582 0::Int) -#26762 := (or #26761 #25767) -#26763 := [th-lemma arith triangle-eq]: #26762 -#26764 := [unit-resolution #26763 #26760]: #25767 +#26755 := (or #26754 #25772) +#26756 := [th-lemma arith triangle-eq]: #26755 +#26757 := [unit-resolution #26756 #26753]: #25772 +#25765 := (<= #25582 0::Int) +#26760 := (or #26759 #25765) +#26761 := [th-lemma arith triangle-eq]: #26760 +#26762 := [unit-resolution #26761 #26758]: #25765 #26679 := (>= #26677 0::Int) -#26767 := (or #26766 #26679) -#26768 := [th-lemma arith triangle-eq]: #26767 -#26769 := [unit-resolution #26768 #26765]: #26679 -#26774 := (not #24470) -#26773 := (not #26679) -#26772 := (not #25429) -#26771 := (not #25767) -#26770 := (not #25772) -#26775 := (or #26732 #26770 #26771 #26772 #26773 #26774) -#26776 := [th-lemma arith assign-bounds -1 1 1 -1 1]: #26775 -#26777 := [unit-resolution #26776 #26769 #26764 #26759 #26752 #26745]: #26732 -#26802 := (not #26732) -#26801 := (not #26731) -#26803 := (or #26720 #26801 #26802) -#26804 := [th-lemma arith triangle-eq]: #26803 -#26851 := [unit-resolution #26804 #26777 #26800]: #26720 -#26852 := [symm #26851]: #26806 -#26854 := [monotonicity #26852]: #26816 -#26820 := (= #26398 #26506) -#26853 := [hypothesis]: #26509 -#26814 := (= #26398 #26486) -#26812 := (= #26397 #26485) -#26810 := (= #26485 #26397) -#26811 := [monotonicity #25162]: #26810 -#26813 := [symm #26811]: #26812 -#26815 := [monotonicity #26813]: #26814 -#26855 := [trans #26815 #26853]: #26820 -#26856 := [trans #26855 #26854]: #26822 -#26857 := [trans #26856 #26819]: #26824 -#26858 := [monotonicity #26857]: #26828 -#26859 := [symm #26858]: #26830 -#26860 := [trans #26827 #26859]: #26832 -#26861 := [monotonicity #26860]: #26834 -#26862 := [trans #26861 #26848]: #26836 -#26863 := [trans #26862 #24881]: #26838 -#26865 := [monotonicity #26863]: #26864 -#26866 := [trans #26865 #13294]: #25795 +#26765 := (or #26764 #26679) +#26766 := [th-lemma arith triangle-eq]: #26765 +#26767 := [unit-resolution #26766 #26763]: #26679 +#26772 := (not #24470) +#26771 := (not #26679) +#26770 := (not #25429) +#26769 := (not #25765) +#26768 := (not #25772) +#26773 := (or #26730 #26768 #26769 #26770 #26771 #26772) +#26774 := [th-lemma arith assign-bounds -1 1 1 -1 1]: #26773 +#26775 := [unit-resolution #26774 #26767 #26762 #26757 #26750 #26743]: #26730 +#26800 := (not #26730) +#26799 := (not #26729) +#26801 := (or #26726 #26799 #26800) +#26802 := [th-lemma arith triangle-eq]: #26801 +#26849 := [unit-resolution #26802 #26775 #26798]: #26726 +#26850 := [symm #26849]: #26804 +#26852 := [monotonicity #26850]: #26814 +#26818 := (= #26398 #26506) +#26851 := [hypothesis]: #26509 +#26812 := (= #26398 #26486) +#26810 := (= #26397 #26485) +#26808 := (= #26485 #26397) +#26809 := [monotonicity #25162]: #26808 +#26811 := [symm #26809]: #26810 +#26813 := [monotonicity #26811]: #26812 +#26853 := [trans #26813 #26851]: #26818 +#26854 := [trans #26853 #26852]: #26820 +#26855 := [trans #26854 #26817]: #26822 +#26856 := [monotonicity #26855]: #26826 +#26857 := [symm #26856]: #26828 +#26858 := [trans #26825 #26857]: #26830 +#26859 := [monotonicity #26858]: #26832 +#26860 := [trans #26859 #26846]: #26834 +#26861 := [trans #26860 #24881]: #26836 +#26863 := [monotonicity #26861]: #26862 +#26864 := [trans #26863 #13294]: #25795 #26017 := (not #25795) -#26847 := [hypothesis]: #26017 -#26867 := [unit-resolution #26847 #26866]: false -#26869 := [lemma #26867]: #26868 -#26252 := [unit-resolution #26869 #26431]: #25795 +#26845 := [hypothesis]: #26017 +#26865 := [unit-resolution #26845 #26864]: false +#26867 := [lemma #26865]: #26866 +#26252 := [unit-resolution #26867 #26431]: #25795 #26034 := (or #25798 #26017) #26032 := [def-axiom]: #26034 #26451 := [unit-resolution #26032 #26252]: #25798 @@ -6610,7 +6610,7 @@ #26232 := (= #25929 #25791) #26367 := (= #25928 #25785) #26245 := (= #25534 #25781) -#26255 := [symm #26827]: #26245 +#26255 := [symm #26825]: #26245 #26365 := [monotonicity #26255]: #26367 #26235 := [monotonicity #26365]: #26232 #26308 := [monotonicity #26235]: #26234 @@ -6621,7 +6621,7 @@ #25936 := (not #25935) #25937 := (or #25933 #25936) #25938 := (not #25937) -#26317 := (or #24436 #25938) +#26317 := (or #24435 #25938) #26306 := [quant-inst #25534]: #26317 #26015 := [unit-resolution #26306 #20697]: #25938 #26302 := (or #25937 #26307) @@ -6678,12 +6678,12 @@ #21330 := (or #21824 #12567) #21332 := [def-axiom]: #21330 #25897 := [unit-resolution #21332 #25895]: #12567 -#25898 := (or #12571 #21385) +#25898 := (or #12571 #21386) #25899 := [th-lemma arith triangle-eq]: #25898 -#25889 := [unit-resolution #25899 #25897]: #21385 -#26206 := (not #21385) +#25889 := [unit-resolution #25899 #25897]: #21386 +#26206 := (not #21386) #26243 := (or #21866 #26206 #21821) -#26204 := [hypothesis]: #21385 +#26204 := [hypothesis]: #21386 #21392 := (not #17385) #26108 := [hypothesis]: #21818 #26109 := (or #12504 #26206 #12750) @@ -6710,8 +6710,8 @@ #26128 := [monotonicity #26126]: #26127 #26130 := [monotonicity #26128]: #26129 #26139 := [monotonicity #26130]: #26131 -#26133 := [trans #26139 #25702]: #26079 -#26134 := [trans #26133 #26140]: #5023 +#26132 := [trans #26139 #25702]: #26079 +#26133 := [trans #26132 #26140]: #5023 #21230 := (+ f474 #12546) #21231 := (>= #21230 0::Int) #21229 := (= f474 f482) @@ -6733,7 +6733,7 @@ #26217 := [unit-resolution #25958 #26216]: #12549 #21367 := (or #20840 #12548 #20838) #21359 := [def-axiom]: #21367 -#26218 := [unit-resolution #21359 #26217 #26134]: #20840 +#26218 := [unit-resolution #21359 #26217 #26133]: #20840 #21364 := (or #21800 #20839) #21368 := [def-axiom]: #21364 #26219 := [unit-resolution #21368 #26218]: #21800 @@ -6907,7 +6907,7 @@ #26681 := [unit-resolution #21286 #26680]: #21830 #26682 := [unit-resolution #25894 #26681]: #21827 #26683 := [unit-resolution #21332 #26682]: #12567 -#26705 := [unit-resolution #25899 #26683]: #21385 +#26705 := [unit-resolution #25899 #26683]: #21386 #26684 := [unit-resolution #21339 #26682]: #21818 #26704 := (or #12504 #26206) #26685 := [unit-resolution #26110 #25744]: #26704 @@ -6941,61 +6941,59 @@ #25820 := [hypothesis]: #20838 #25839 := [unit-resolution #25820 #25838]: false #25841 := [lemma #25839]: #25840 -#26714 := [unit-resolution #25841 #26680]: #5023 +#26713 := [unit-resolution #25841 #26680]: #5023 #26005 := (+ f475 #12546) #26033 := (>= #26005 0::Int) #25867 := (= f475 f482) -#26715 := [unit-resolution #21278 #26680]: #4997 -#26849 := [symm #26715]: #25867 -#26850 := (not #25867) -#26590 := (or #26850 #26033) +#26714 := [unit-resolution #21278 #26680]: #4997 +#26847 := [symm #26714]: #25867 +#26848 := (not #25867) +#26590 := (or #26848 #26033) #26695 := [th-lemma arith triangle-eq]: #26590 -#26696 := [unit-resolution #26695 #26849]: #26033 +#26696 := [unit-resolution #26695 #26847]: #26033 #26697 := (not #26033) #26699 := (or #12549 #26697 #12750) #26700 := [th-lemma arith assign-bounds -1 -1]: #26699 #26698 := [unit-resolution #26700 #25744 #26696]: #12549 -#26701 := [unit-resolution #21359 #26698 #26714]: #20840 +#26701 := [unit-resolution #21359 #26698 #26713]: #20840 #26702 := [unit-resolution #21368 #26701]: #21800 #26703 := [unit-resolution #21357 #26702 #26688]: #20824 -#26713 := [unit-resolution #21374 #26703]: #21392 -#26716 := [unit-resolution #26208 #26713 #26705]: #26200 +#26715 := [unit-resolution #21374 #26703]: #21392 +#26716 := [unit-resolution #26208 #26715 #26705]: #26200 #26036 := (+ #4979 #12524) #25957 := (<= #26036 0::Int) #26035 := (= #4979 f481) #26717 := [unit-resolution #21309 #26680]: #4995 -#26846 := [symm #26717]: #25834 +#26844 := [symm #26717]: #25834 #26718 := [unit-resolution #21305 #26680]: #4982 #26719 := [symm #26718]: #25832 -#26870 := [trans #26719 #26846]: #26035 -#26871 := (not #26035) -#26872 := (or #26871 #25957) -#26873 := [th-lemma arith triangle-eq]: #26872 -#26874 := [unit-resolution #26873 #26870]: #25957 -#26875 := [unit-resolution #21379 #26703]: #21378 -#26876 := (not #25957) -#26877 := (or #26638 #17398 #26876) -#26878 := [th-lemma arith assign-bounds -1 -1]: #26877 -#26879 := [unit-resolution #26878 #26875 #26874]: #26638 -#26880 := [unit-resolution #26642 #26879]: #26631 -#26881 := [unit-resolution #26659 #26880]: #26657 -#26882 := [unit-resolution #26198 #26881 #26716]: #26233 -#26885 := (or #26048 #26060) -#26883 := [unit-resolution #21389 #26703]: #17087 -#26884 := [unit-resolution #21391 #26703]: #17086 -#26886 := [unit-resolution #26106 #25716 #26884 #26883]: #26885 -#26887 := [unit-resolution #26886 #26882]: #26060 -#26888 := (or #17033 #21881) -#26889 := [unit-resolution #25853 #25849]: #26888 -#26890 := [unit-resolution #26889 #26460]: #21881 -#26891 := [unit-resolution #22036 #26890]: #21872 -#26892 := (or #21875 #21863) -#26893 := [unit-resolution #22026 #25888]: #26892 -#26894 := [unit-resolution #26893 #26891]: #21863 +#26868 := [trans #26719 #26844]: #26035 +#26869 := (not #26035) +#26870 := (or #26869 #25957) +#26871 := [th-lemma arith triangle-eq]: #26870 +#26872 := [unit-resolution #26871 #26868]: #25957 +#26873 := [unit-resolution #21379 #26703]: #21378 +#26874 := (not #25957) +#26875 := (or #26638 #17398 #26874) +#26876 := [th-lemma arith assign-bounds -1 -1]: #26875 +#26877 := [unit-resolution #26876 #26873 #26872]: #26638 +#26878 := [unit-resolution #26642 #26877]: #26631 +#26879 := [unit-resolution #26659 #26878]: #26657 +#26880 := [unit-resolution #26198 #26879 #26716]: #26233 +#26883 := (or #26048 #26060) +#26881 := [unit-resolution #21389 #26703]: #17087 +#26882 := [unit-resolution #21391 #26703]: #17086 +#26884 := [unit-resolution #26106 #25716 #26882 #26881]: #26883 +#26885 := [unit-resolution #26884 #26880]: #26060 +#26886 := (or #17033 #21881) +#26887 := [unit-resolution #25853 #25849]: #26886 +#26888 := [unit-resolution #26887 #26460]: #21881 +#26889 := [unit-resolution #22036 #26888]: #21872 +#26890 := (or #21875 #21863) +#26891 := [unit-resolution #22026 #25888]: #26890 +#26892 := [unit-resolution #26891 #26889]: #21863 #21232 := (or #21860 #12656) #21234 := [def-axiom]: #21232 -#26895 := [unit-resolution #21234 #26894]: #12656 -[th-lemma arith farkas 1 1 1 1 #26874 #26895 #26875 #26887]: false +#26893 := [unit-resolution #21234 #26892]: #12656 +[th-lemma arith farkas 1 1 1 1 #26872 #26893 #26873 #26885]: false unsat -WARNING: For problems containing quantifiers, the model finding capabilities of Z3 work better when the formula does not contain nested quantifiers. You can use PULL_NESTED_QUANTIFIERS=true to eliminate nested quantifiers. - diff -r acea12b85315 -r b1f4291eb916 src/HOL/Boogie/Examples/VCC_Max.thy --- a/src/HOL/Boogie/Examples/VCC_Max.thy Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/Boogie/Examples/VCC_Max.thy Tue Jan 01 11:36:30 2013 +0100 @@ -33,7 +33,7 @@ invariant(forall(ulong i; i < p ==> arr[i] <= max)) invariant(witness < len && arr[witness] == max) { - if (arr[p] > max) + if (arr[p] > max) { max = arr[p]; speconly(witness = p;) @@ -46,10 +46,10 @@ boogie_open (quiet) "VCC_Max.b2i" +declare [[smt_oracle = false]] +declare [[z3_with_extensions = true]] declare [[smt_certificates = "VCC_Max.certs"]] declare [[smt_read_only_certificates = true]] -declare [[smt_oracle = false]] -declare [[z3_with_extensions = true]] boogie_status diff -r acea12b85315 -r b1f4291eb916 src/HOL/SMT_Examples/SMT_Examples.certs --- a/src/HOL/SMT_Examples/SMT_Examples.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/SMT_Examples/SMT_Examples.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,14 +1,13 @@ -23fa46bae38100075457f16458b7f980b6e9eaaa 8 0 -unsat +23d01cdabb599769b54210e40617eea3d6c91e30 8 0 #2 := false #1 := true #7 := (not true) -#13 := (iff #7 false) -#14 := [rewrite]: #13 -#9 := [asserted]: #7 -[mp #9 #14]: false -a659f050ece3306f2b1d4dcfecadbe7f96ac25b7 14 0 +#29 := (iff #7 false) +#30 := [rewrite]: #29 +#28 := [asserted]: #7 +[mp #28 #30]: false unsat +22e23526a38d50ce23abbe4dbfb697891cbcd840 22 0 #2 := false decl f1 :: S1 #3 := f1 @@ -18,12 +17,20 @@ #9 := (not #8) #10 := (or #8 #9) #11 := (not #10) -#13 := [asserted]: #11 -#15 := [not-or-elim #13]: #8 -#14 := [not-or-elim #13]: #9 -[unit-resolution #14 #15]: false -a67531da310682d5a288c23ac8f30257442b6eee 28 0 +#40 := (iff #11 false) +#1 := true +#35 := (not true) +#38 := (iff #35 false) +#39 := [rewrite]: #38 +#36 := (iff #11 #35) +#33 := (iff #10 true) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#32 := [asserted]: #11 +[mp #32 #41]: false unsat +121552dd328e0993a2c6099c592d9c3db7fff190 28 0 #2 := false decl f1 :: S1 #3 := f1 @@ -34,141 +41,101 @@ #9 := (and #8 true) #10 := (iff #9 #8) #11 := (not #10) -#30 := (iff #11 false) -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #11 #25) -#23 := (iff #10 true) -#18 := (iff #8 #8) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#13 := [asserted]: #11 -[mp #13 #31]: false -d4525927e0ca94e2a8cd999f8854bd810a0a45a9 30 0 +#46 := (iff #11 false) +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #11 #41) +#39 := (iff #10 true) +#34 := (iff #8 #8) +#37 := (iff #34 true) +#38 := [rewrite]: #37 +#35 := (iff #10 #34) +#33 := [rewrite]: #10 +#36 := [monotonicity #33]: #35 +#40 := [trans #36 #38]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#32 := [asserted]: #11 +[mp #32 #47]: false unsat +263480c8c5909524c36f6198f60c623fbcfc953d 41 0 #2 := false decl f1 :: S1 #3 := f1 -decl f3 :: S1 -#7 := f3 -#8 := (= f3 f1) -#12 := (not #8) -decl f4 :: S1 -#9 := f4 -#10 := (= f4 f1) -#11 := (or #8 #10) -#13 := (and #11 #12) -#21 := (not #13) -#22 := (or #21 #10) -#25 := (not #22) -#14 := (implies #13 #10) -#15 := (not #14) -#26 := (iff #15 #25) -#23 := (iff #14 #22) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#17 := [asserted]: #15 -#28 := [mp #17 #27]: #25 -#29 := [not-or-elim #28]: #13 -#31 := [and-elim #29]: #12 -#32 := (not #10) -#33 := [not-or-elim #28]: #32 -#30 := [and-elim #29]: #11 -[unit-resolution #30 #33 #31]: false -55b7bd861df00e9621f738450037b0df80372741 84 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 -decl f5 :: S1 -#12 := f5 -#13 := (= f5 f1) -decl f6 :: S1 -#14 := f6 -#15 := (= f6 f1) -#64 := (not #15) -#63 := (not #13) -#65 := (or #63 #64) -#66 := (not #65) decl f4 :: S1 #9 := f4 #10 := (= f4 f1) -#58 := (not #10) decl f3 :: S1 #7 := f3 #8 := (= f3 f1) -#57 := (not #8) -#59 := (or #57 #58) -#60 := (not #59) -#101 := [hypothesis]: #60 -#89 := (or #59 #8) -#90 := [def-axiom]: #89 -#102 := [unit-resolution #90 #101]: #8 -#91 := (or #59 #10) -#92 := [def-axiom]: #91 -#103 := [unit-resolution #92 #101]: #10 +#11 := (or #8 #10) +#64 := (iff #11 false) +#59 := (or false false) +#62 := (iff #59 false) +#63 := [rewrite]: #62 +#60 := (iff #11 #59) +#57 := (iff #10 false) +#48 := (not #10) +#12 := (not #8) +#13 := (and #11 #12) +#37 := (not #13) +#38 := (or #37 #10) +#41 := (not #38) +#14 := (implies #13 #10) +#15 := (not #14) +#42 := (iff #15 #41) +#39 := (iff #14 #38) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#36 := [asserted]: #15 +#46 := [mp #36 #43]: #41 +#49 := [not-or-elim #46]: #48 +#58 := [iff-false #49]: #57 +#55 := (iff #8 false) +#44 := [not-or-elim #46]: #13 +#47 := [and-elim #44]: #12 +#56 := [iff-false #47]: #55 +#61 := [monotonicity #56 #58]: #60 +#65 := [trans #61 #63]: #64 +#45 := [and-elim #44]: #11 +[mp #45 #65]: false +unsat +050883983ebe99dc3b7f24a011b1724b1b2c4dd9 33 0 +#2 := false +decl f1 :: S1 +#3 := f1 +decl f6 :: S1 +#14 := f6 +#15 := (= f6 f1) +decl f5 :: S1 +#12 := f5 +#13 := (= f5 f1) +#16 := (and #13 #15) +decl f4 :: S1 +#9 := f4 +#10 := (= f4 f1) +decl f3 :: S1 +#7 := f3 +#8 := (= f3 f1) #11 := (and #8 #10) -#34 := (not #11) -#78 := (iff #34 #59) -#73 := (not #60) -#76 := (iff #73 #59) -#77 := [rewrite]: #76 -#74 := (iff #34 #73) -#61 := (iff #11 #60) -#62 := [rewrite]: #61 -#75 := [monotonicity #62]: #74 -#79 := [trans #75 #77]: #78 -#16 := (and #13 #15) #17 := (or #11 #16) -#25 := (not #17) -#26 := (or #25 #11 #16) -#29 := (not #26) #18 := (implies #17 #17) #19 := (not #18) -#30 := (iff #19 #29) -#27 := (iff #18 #26) -#28 := [rewrite]: #27 -#31 := [monotonicity #28]: #30 -#21 := [asserted]: #19 -#32 := [mp #21 #31]: #29 -#35 := [not-or-elim #32]: #34 -#80 := [mp #35 #79]: #59 -#104 := [unit-resolution #80 #103 #102]: false -#105 := [lemma #104]: #59 -#69 := (or #60 #66) -#70 := (iff #17 #69) -#67 := (iff #16 #66) -#68 := [rewrite]: #67 -#71 := [monotonicity #62 #68]: #70 -#33 := [not-or-elim #32]: #17 -#72 := [mp #33 #71]: #69 -#106 := [unit-resolution #72 #105]: #66 -#95 := (or #65 #13) -#96 := [def-axiom]: #95 -#107 := [unit-resolution #96 #106]: #13 -#97 := (or #65 #15) -#98 := [def-axiom]: #97 -#108 := [unit-resolution #98 #106]: #15 -#36 := (not #16) -#86 := (iff #36 #65) -#81 := (not #66) -#84 := (iff #81 #65) -#85 := [rewrite]: #84 -#82 := (iff #36 #81) -#83 := [monotonicity #68]: #82 -#87 := [trans #83 #85]: #86 -#37 := [not-or-elim #32]: #36 -#88 := [mp #37 #87]: #65 -[unit-resolution #88 #108 #107]: false -ecaaaeb4b508586ee415aaee164d7f38d7fa3191 50 0 +#48 := (iff #19 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #19 #43) +#41 := (iff #18 true) +#42 := [rewrite]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#40 := [asserted]: #19 +[mp #40 #49]: false unsat +79d9d246dd9d27e03e8f1ea895e790f3a4420bfd 55 0 #2 := false decl f1 :: S1 #3 := f1 @@ -190,36 +157,41 @@ #14 := (or #11 #13) #20 := (implies #14 #19) #21 := (not #20) -#50 := (iff #21 false) +#71 := (iff #21 false) +#43 := (not #8) +#44 := (or #43 #17) +#47 := (or #44 #8) +#53 := (not #14) +#54 := (or #53 #47) +#59 := (not #54) +#69 := (iff #59 false) #1 := true -#45 := (not true) -#48 := (iff #45 false) -#49 := [rewrite]: #48 -#46 := (iff #21 #45) -#43 := (iff #20 true) -#38 := (implies #14 true) -#41 := (iff #38 true) -#42 := [rewrite]: #41 -#39 := (iff #20 #38) -#36 := (iff #19 true) -#27 := (not #8) -#28 := (or #27 #15 #16) -#31 := (or #28 #8) -#34 := (iff #31 true) -#35 := [rewrite]: #34 -#32 := (iff #19 #31) -#29 := (iff #18 #28) -#30 := [rewrite]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#40 := [monotonicity #37]: #39 -#44 := [trans #40 #42]: #43 -#47 := [monotonicity #44]: #46 -#51 := [trans #47 #49]: #50 -#23 := [asserted]: #21 -[mp #23 #51]: false -01c3def9cab437126fe354f5b2293506994546fd 60 0 +#64 := (not true) +#67 := (iff #64 false) +#68 := [rewrite]: #67 +#65 := (iff #59 #64) +#62 := (iff #54 true) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#70 := [trans #66 #68]: #69 +#60 := (iff #21 #59) +#57 := (iff #20 #54) +#50 := (implies #14 #47) +#55 := (iff #50 #54) +#56 := [rewrite]: #55 +#51 := (iff #20 #50) +#48 := (iff #19 #47) +#45 := (iff #18 #44) +#46 := [rewrite]: #45 +#49 := [monotonicity #46]: #48 +#52 := [monotonicity #49]: #51 +#58 := [trans #52 #56]: #57 +#61 := [monotonicity #58]: #60 +#72 := [trans #61 #70]: #71 +#42 := [asserted]: #21 +[mp #42 #72]: false unsat +8575241c64c02491d277f6598ca57e576f5a6b45 60 0 #2 := false decl f1 :: S1 #3 := f1 @@ -236,61 +208,81 @@ #16 := (iff #15 #8) #17 := (iff #16 #8) #18 := (not #17) -#62 := (iff #18 false) +#78 := (iff #18 false) #1 := true -#57 := (not true) -#60 := (iff #57 false) -#61 := [rewrite]: #60 -#58 := (iff #18 #57) -#55 := (iff #17 true) -#24 := (iff #9 true) -#25 := [rewrite]: #24 -#53 := (iff #17 #9) -#26 := (iff true #8) -#29 := (iff #26 #8) -#30 := [rewrite]: #29 -#50 := (iff #16 #26) -#48 := (iff #15 true) -#46 := (iff #15 #9) -#43 := (iff #14 #26) -#41 := (iff #13 true) -#39 := (iff #13 #9) -#36 := (iff #12 #26) -#34 := (iff #11 true) -#32 := (iff #11 #9) -#27 := (iff #10 #26) -#28 := [monotonicity #25]: #27 -#31 := [trans #28 #30]: #11 -#33 := [monotonicity #31]: #32 -#35 := [trans #33 #25]: #34 -#37 := [monotonicity #35]: #36 -#38 := [trans #37 #30]: #13 -#40 := [monotonicity #38]: #39 -#42 := [trans #40 #25]: #41 -#44 := [monotonicity #42]: #43 -#45 := [trans #44 #30]: #15 -#47 := [monotonicity #45]: #46 -#49 := [trans #47 #25]: #48 -#51 := [monotonicity #49]: #50 -#52 := [trans #51 #30]: #17 -#54 := [monotonicity #52]: #53 -#56 := [trans #54 #25]: #55 -#59 := [monotonicity #56]: #58 -#63 := [trans #59 #61]: #62 -#20 := [asserted]: #18 -[mp #20 #63]: false -cd163c8c9afce7b0a8a2f73345db7dfc9e0d1c10 112 0 +#73 := (not true) +#76 := (iff #73 false) +#77 := [rewrite]: #76 +#74 := (iff #18 #73) +#71 := (iff #17 true) +#40 := (iff #9 true) +#41 := [rewrite]: #40 +#69 := (iff #17 #9) +#42 := (iff true #8) +#45 := (iff #42 #8) +#46 := [rewrite]: #45 +#66 := (iff #16 #42) +#64 := (iff #15 true) +#62 := (iff #15 #9) +#59 := (iff #14 #42) +#57 := (iff #13 true) +#55 := (iff #13 #9) +#52 := (iff #12 #42) +#50 := (iff #11 true) +#48 := (iff #11 #9) +#43 := (iff #10 #42) +#44 := [monotonicity #41]: #43 +#47 := [trans #44 #46]: #11 +#49 := [monotonicity #47]: #48 +#51 := [trans #49 #41]: #50 +#53 := [monotonicity #51]: #52 +#54 := [trans #53 #46]: #13 +#56 := [monotonicity #54]: #55 +#58 := [trans #56 #41]: #57 +#60 := [monotonicity #58]: #59 +#61 := [trans #60 #46]: #15 +#63 := [monotonicity #61]: #62 +#65 := [trans #63 #41]: #64 +#67 := [monotonicity #65]: #66 +#68 := [trans #67 #46]: #17 +#70 := [monotonicity #68]: #69 +#72 := [trans #70 #41]: #71 +#75 := [monotonicity #72]: #74 +#79 := [trans #75 #77]: #78 +#39 := [asserted]: #18 +[mp #39 #79]: false unsat +8434421285df70a7e1728b19173d86303151090b 165 0 #2 := false decl f1 :: S1 #3 := f1 +decl f6 :: S1 +#13 := f6 +#14 := (= f6 f1) +decl f5 :: S1 +#11 := f5 +#12 := (= f5 f1) decl f4 :: S1 #9 := f4 #10 := (= f4 f1) -#107 := (not #10) -decl f5 :: S1 -#11 := f5 -#12 := (= f5 f1) +decl f3 :: S1 +#7 := f3 +#8 := (= f3 f1) +#75 := (or #8 #10 #12 #14) +#215 := (iff #75 false) +#210 := (or false false false false) +#213 := (iff #210 false) +#214 := [rewrite]: #213 +#211 := (iff #75 #210) +#167 := (iff #14 false) +#119 := (not #14) +#122 := (or #119 #12) +#175 := (iff #122 #119) +#170 := (or #119 false) +#173 := (iff #170 #119) +#174 := [rewrite]: #173 +#171 := (iff #122 #170) +#168 := (iff #12 false) #25 := (not #12) decl f11 :: S1 #43 := f11 @@ -305,9 +297,59 @@ #48 := (and #42 #47) #49 := (or #12 #48) #50 := (not #49) -#58 := [asserted]: #50 -#59 := [not-or-elim #58]: #25 -#110 := (or #107 #12) +#150 := (iff #50 #25) +#148 := (iff #49 #12) +#143 := (or #12 false) +#146 := (iff #143 #12) +#147 := [rewrite]: #146 +#144 := (iff #49 #143) +#141 := (iff #48 false) +#136 := (and #42 #41) +#139 := (iff #136 false) +#140 := [rewrite]: #139 +#137 := (iff #48 #136) +#134 := (iff #47 #41) +#129 := (or #41 false) +#132 := (iff #129 #41) +#133 := [rewrite]: #132 +#130 := (iff #47 #129) +#126 := (iff #46 false) +#128 := [rewrite]: #126 +#131 := [monotonicity #128]: #130 +#135 := [trans #131 #133]: #134 +#138 := [monotonicity #135]: #137 +#142 := [trans #138 #140]: #141 +#145 := [monotonicity #142]: #144 +#149 := [trans #145 #147]: #148 +#151 := [monotonicity #149]: #150 +#125 := [asserted]: #50 +#154 := [mp #125 #151]: #25 +#169 := [iff-false #154]: #168 +#172 := [monotonicity #169]: #171 +#176 := [trans #172 #174]: #175 +#37 := (or #14 false) +#38 := (not #37) +#39 := (or #38 #12) +#123 := (iff #39 #122) +#120 := (iff #38 #119) +#116 := (iff #37 #14) +#118 := [rewrite]: #116 +#121 := [monotonicity #118]: #120 +#124 := [monotonicity #121]: #123 +#115 := [asserted]: #39 +#127 := [mp #115 #124]: #122 +#166 := [mp #127 #176]: #119 +#177 := [iff-false #166]: #167 +#165 := (iff #10 false) +#109 := (not #10) +#112 := (or #109 #12) +#183 := (iff #112 #109) +#178 := (or #109 false) +#181 := (iff #178 #109) +#182 := [rewrite]: #181 +#179 := (iff #112 #178) +#180 := [monotonicity #169]: #179 +#184 := [trans #180 #182]: #183 decl f9 :: S1 #30 := f9 #31 := (= f9 f1) @@ -316,84 +358,67 @@ #34 := (and #10 #33) #35 := (not #34) #36 := (or #35 #12) -#111 := (iff #36 #110) -#108 := (iff #35 #107) -#105 := (iff #34 #10) +#113 := (iff #36 #112) +#110 := (iff #35 #109) +#107 := (iff #34 #10) #1 := true -#100 := (and #10 true) -#103 := (iff #100 #10) -#104 := [rewrite]: #103 -#101 := (iff #34 #100) -#98 := (iff #33 true) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#106 := [trans #102 #104]: #105 -#109 := [monotonicity #106]: #108 -#112 := [monotonicity #109]: #111 -#56 := [asserted]: #36 -#113 := [mp #56 #112]: #110 -#153 := [unit-resolution #113 #59]: #107 -decl f3 :: S1 -#7 := f3 -#8 := (= f3 f1) -decl f6 :: S1 -#13 := f6 -#14 := (= f6 f1) -#116 := (not #14) -#119 := (or #116 #12) -#37 := (or #14 false) -#38 := (not #37) -#39 := (or #38 #12) -#120 := (iff #39 #119) -#117 := (iff #38 #116) -#114 := (iff #37 #14) -#115 := [rewrite]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#57 := [asserted]: #39 -#122 := [mp #57 #121]: #119 -#154 := [unit-resolution #122 #59]: #116 -#72 := (or #8 #10 #12 #14) -#15 := (or #12 #14) -#16 := (or #10 #15) -#17 := (or #8 #16) -#75 := (iff #17 #72) -#66 := (or #10 #12 #14) -#69 := (or #8 #66) -#73 := (iff #69 #72) -#74 := [rewrite]: #73 -#70 := (iff #17 #69) -#67 := (iff #16 #66) -#68 := [rewrite]: #67 -#71 := [monotonicity #68]: #70 -#76 := [trans #71 #74]: #75 -#53 := [asserted]: #17 -#77 := [mp #53 #76]: #72 -#155 := [unit-resolution #77 #153 #59 #154]: #8 -#91 := (not #8) -#94 := (or #91 #10) +#102 := (and #10 true) +#105 := (iff #102 #10) +#106 := [rewrite]: #105 +#103 := (iff #34 #102) +#99 := (iff #33 true) +#101 := [rewrite]: #99 +#104 := [monotonicity #101]: #103 +#108 := [trans #104 #106]: #107 +#111 := [monotonicity #108]: #110 +#114 := [monotonicity #111]: #113 +#98 := [asserted]: #36 +#117 := [mp #98 #114]: #112 +#164 := [mp #117 #184]: #109 +#185 := [iff-false #164]: #165 +#163 := (iff #8 false) +#92 := (not #8) +#95 := (or #92 #10) +#191 := (iff #95 #92) +#186 := (or #92 false) +#189 := (iff #186 #92) +#190 := [rewrite]: #189 +#187 := (iff #95 #186) +#188 := [monotonicity #185]: #187 +#192 := [trans #188 #190]: #191 #26 := (and #12 #25) #27 := (or #8 #26) #28 := (not #27) #29 := (or #28 #10) -#95 := (iff #29 #94) -#92 := (iff #28 #91) -#89 := (iff #27 #8) -#84 := (or #8 false) -#87 := (iff #84 #8) -#88 := [rewrite]: #87 -#85 := (iff #27 #84) -#82 := (iff #26 false) -#83 := [rewrite]: #82 -#86 := [monotonicity #83]: #85 -#90 := [trans #86 #88]: #89 -#93 := [monotonicity #90]: #92 -#96 := [monotonicity #93]: #95 -#55 := [asserted]: #29 -#97 := [mp #55 #96]: #94 -[unit-resolution #97 #155 #153]: false -bda0de69751a63d54481e3e810bc744b04b03fa3 59 0 +#96 := (iff #29 #95) +#93 := (iff #28 #92) +#90 := (iff #27 #8) +#85 := (or #8 false) +#88 := (iff #85 #8) +#89 := [rewrite]: #88 +#86 := (iff #27 #85) +#79 := (iff #26 false) +#84 := [rewrite]: #79 +#87 := [monotonicity #84]: #86 +#91 := [trans #87 #89]: #90 +#94 := [monotonicity #91]: #93 +#97 := [monotonicity #94]: #96 +#74 := [asserted]: #29 +#100 := [mp #74 #97]: #95 +#162 := [mp #100 #192]: #92 +#193 := [iff-false #162]: #163 +#212 := [monotonicity #193 #185 #169 #177]: #211 +#216 := [trans #212 #214]: #215 +#15 := (or #12 #14) +#16 := (or #10 #15) +#17 := (or #8 #16) +#76 := (iff #17 #75) +#77 := [rewrite]: #76 +#72 := [asserted]: #17 +#78 := [mp #72 #77]: #75 +[mp #78 #216]: false unsat +2571c5d0e3c2bb55fd62ced2ec0c2fd2a4870074 59 0 #2 := false decl f3 :: (-> S3 S2 S2) decl f6 :: S2 @@ -408,55 +433,84 @@ #18 := (f4 f5 f6) #20 := (f3 #18 f7) #23 := (= #20 #22) -#41 := (not #23) +#57 := (not #23) #17 := (= f6 f6) #24 := (and #17 #23) #25 := (not #24) -#42 := (iff #25 #41) -#39 := (iff #24 #23) +#58 := (iff #25 #57) +#55 := (iff #24 #23) #1 := true -#34 := (and true #23) -#37 := (iff #34 #23) -#38 := [rewrite]: #37 -#35 := (iff #24 #34) -#32 := (iff #17 true) -#33 := [rewrite]: #32 -#36 := [monotonicity #33]: #35 -#40 := [trans #36 #38]: #39 -#43 := [monotonicity #40]: #42 -#28 := [asserted]: #25 -#44 := [mp #28 #43]: #41 +#50 := (and true #23) +#53 := (iff #50 #23) +#54 := [rewrite]: #53 +#51 := (iff #24 #50) +#48 := (iff #17 true) +#49 := [rewrite]: #48 +#52 := [monotonicity #49]: #51 +#56 := [trans #52 #54]: #55 +#59 := [monotonicity #56]: #58 +#47 := [asserted]: #25 +#62 := [mp #47 #59]: #57 #8 := (:var 1 S2) #10 := (:var 0 S2) #12 := (f4 f5 #10) #13 := (f3 #12 #8) -#487 := (pattern #13) +#546 := (pattern #13) #9 := (f4 f5 #8) #11 := (f3 #9 #10) -#486 := (pattern #11) +#545 := (pattern #11) #14 := (= #11 #13) -#488 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #486 #487) #14) +#547 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #545 #546) #14) #15 := (forall (vars (?v0 S2) (?v1 S2)) #14) -#491 := (iff #15 #488) -#489 := (iff #14 #14) -#490 := [refl]: #489 -#492 := [quant-intro #490]: #491 -#66 := (~ #15 #15) -#64 := (~ #14 #14) -#65 := [refl]: #64 -#67 := [nnf-pos #65]: #66 -#27 := [asserted]: #15 -#68 := [mp~ #27 #67]: #15 -#493 := [mp #68 #492]: #488 -#72 := (not #488) -#157 := (or #72 #23) -#69 := [quant-inst #16 #19]: #157 -[unit-resolution #69 #493 #44]: false -01921123e04538e755e19bf1587fc40380f6a26a 1573 0 +#550 := (iff #15 #547) +#548 := (iff #14 #14) +#549 := [refl]: #548 +#551 := [quant-intro #549]: #550 +#70 := (~ #15 #15) +#68 := (~ #14 #14) +#69 := [refl]: #68 +#71 := [nnf-pos #69]: #70 +#46 := [asserted]: #15 +#61 := [mp~ #46 #71]: #15 +#552 := [mp #61 #551]: #547 +#130 := (not #547) +#216 := (or #130 #23) +#131 := [quant-inst #16 #19]: #216 +[unit-resolution #131 #552 #62]: false unsat +d97439af6f5bc7794ab403d0f6cc318d103016a1 1288 0 #2 := false decl f1 :: S1 #3 := f1 +decl f9 :: S1 +#25 := f9 +#26 := (= f9 f1) +decl f20 :: S1 +#59 := f20 +#60 := (= f20 f1) +decl f21 :: S1 +#61 := f21 +#62 := (= f21 f1) +#249 := (not #62) +decl f31 :: S1 +#97 := f31 +#98 := (= f31 f1) +decl f62 :: S1 +#207 := f62 +#208 := (= f62 f1) +decl f58 :: S1 +#189 := f58 +#190 := (= f58 f1) +#388 := (not #190) +decl f47 :: S1 +#151 := f47 +#152 := (= f47 f1) +#289 := (not #98) +#980 := [hypothesis]: #289 +decl f46 :: S1 +#149 := f46 +#150 := (= f46 f1) +#346 := (not #150) decl f48 :: S1 #156 := f48 #157 := (= f48 f1) @@ -468,20 +522,183 @@ #144 := f45 #145 := (= f45 f1) #339 := (not #145) -decl f34 :: S1 -#106 := f34 -#107 := (= f34 f1) +decl f42 :: S1 +#135 := f42 +#136 := (= f42 f1) +#1467 := (or #136 #98) +decl f40 :: S1 +#128 := f40 +#129 := (= f40 f1) +#330 := (not #136) +#1095 := [hypothesis]: #330 +decl f32 :: S1 +#99 := f32 +#100 := (= f32 f1) +#290 := (not #100) +decl f16 :: S1 +#46 := f16 +#47 := (= f16 f1) +decl f17 :: S1 +#48 := f17 +#49 := (= f17 f1) +#236 := (not #49) +decl f28 :: S1 +#86 := f28 +#87 := (= f28 f1) +#1450 := (or #87 #98 #136) +decl f29 :: S1 +#90 := f29 +#91 := (= f29 f1) +#281 := (not #91) +#322 := (not #129) +#277 := (not #87) +#867 := [hypothesis]: #277 +#1427 := (or #322 #87) +decl f51 :: S1 +#166 := f51 +#167 := (= f51 f1) +#363 := (not #167) +decl f54 :: S1 +#175 := f54 +#176 := (= f54 f1) +decl f56 :: S1 +#182 := f56 +#183 := (= f56 f1) +#380 := (not #183) +#372 := (not #176) +#1160 := [hypothesis]: #372 +#1189 := (or #388 #176) +decl f18 :: S1 +#52 := f18 +#53 := (= f18 f1) decl f33 :: S1 #104 := f33 #105 := (= f33 f1) #297 := (not #105) +decl f36 :: S1 +#113 := f36 +#114 := (= f36 f1) +#347 := (not #152) +#1155 := [hypothesis]: #190 +#393 := (or #388 #347) +#730 := [asserted]: #393 +#1156 := [unit-resolution #730 #1155]: #347 +#389 := (or #387 #388) +#726 := [asserted]: #389 +#1157 := [unit-resolution #726 #1155]: #387 +#194 := (or #188 #157) +decl f6 :: S1 +#16 := f6 +#17 := (= f6 f1) +#579 := (or #17 #188 #157) +#840 := (iff #579 #194) +#835 := (or false #188 #157) +#838 := (iff #835 #194) +#839 := [rewrite]: #838 +#836 := (iff #579 #835) +#759 := (iff #17 false) +#18 := (not #17) +#439 := [asserted]: #18 +#760 := [iff-false #439]: #759 +#837 := [monotonicity #760]: #836 +#841 := [trans #837 #839]: #840 +#195 := (or #17 #194) +#580 := (iff #195 #579) +#581 := [rewrite]: #580 +#568 := [asserted]: #195 +#582 := [mp #568 #581]: #579 +#842 := [mp #582 #841]: #194 +#1158 := [unit-resolution #842 #1157]: #157 #354 := (not #157) +#355 := (or #354 #346) +#702 := [asserted]: #355 +#1159 := [unit-resolution #702 #1158]: #346 +decl f44 :: S1 +#142 := f44 +#143 := (= f44 f1) +#338 := (not #143) +decl f61 :: S1 +#203 := f61 +#204 := (= f61 f1) +decl f60 :: S1 +#199 := f60 +#200 := (= f60 f1) +#400 := (not #200) decl f37 :: S1 #118 := f37 #119 := (= f37 f1) +#313 := (not #119) +#356 := (or #354 #313) +#703 := [asserted]: #356 +#1161 := [unit-resolution #703 #1158]: #313 +#983 := (or #400 #150 #152 #119) +#248 := (not #60) +decl f23 :: S1 +#68 := f23 +#69 := (= f23 f1) +decl f34 :: S1 +#106 := f34 +#107 := (= f34 f1) +#298 := (not #107) +#1051 := [hypothesis]: #347 +#1052 := [hypothesis]: #346 +#306 := (not #114) +decl f25 :: S1 +#75 := f25 +#76 := (= f25 f1) +decl f39 :: S1 +#124 := f39 +#125 := (= f39 f1) +#318 := (not #125) +decl f50 :: S1 +#162 := f50 +#163 := (= f50 f1) +decl f59 :: S1 +#196 := f59 +#197 := (= f59 f1) +#398 := (not #197) +#1024 := [hypothesis]: #200 +#401 := (or #400 #398) +#736 := [asserted]: #401 +#1021 := [unit-resolution #736 #1024]: #398 +#198 := (or #197 #163) +#573 := [asserted]: #198 +#1022 := [unit-resolution #573 #1021]: #163 +#359 := (not #163) +#362 := (or #359 #318) +#707 := [asserted]: #362 +#1019 := [unit-resolution #707 #1022]: #318 decl f26 :: S1 #80 := f26 #81 := (= f26 f1) +#1153 := [hypothesis]: #313 +decl f35 :: S1 +#111 := f35 +#112 := (= f35 f1) +#305 := (not #112) +decl f43 :: S1 +#137 := f43 +#138 := (= f43 f1) +#331 := (not #138) +decl f52 :: S1 +#168 := f52 +#169 := (= f52 f1) +#364 := (not #169) +#402 := (or #400 #364) +#737 := [asserted]: #402 +#1020 := [unit-resolution #737 #1024]: #364 +decl f49 :: S1 +#160 := f49 +#161 := (= f49 f1) +#358 := (not #161) +#360 := (or #358 #359) +#705 := [asserted]: #360 +#1017 := [unit-resolution #705 #1022]: #358 +decl f41 :: S1 +#130 := f41 +#131 := (= f41 f1) +#323 := (not #131) +#1126 := (or #323 #119 #125) #272 := (not #81) decl f15 :: S1 #43 := f15 @@ -490,1566 +707,1089 @@ #37 := f13 #38 := (= f13 f1) #228 := (not #38) -decl f14 :: S1 -#39 := f14 -#40 := (= f14 f1) +decl f11 :: S1 +#31 := f11 +#32 := (= f11 f1) +#218 := (not #26) +decl f7 :: S1 +#19 := f7 +#20 := (= f7 f1) +decl f8 :: S1 +#21 := f8 +#22 := (= f8 f1) +#214 := (not #22) +#1154 := [hypothesis]: #318 +decl f38 :: S1 +#122 := f38 +#123 := (= f38 f1) +#317 := (not #123) +#1151 := [hypothesis]: #131 +#327 := (or #323 #317) +#681 := [asserted]: #327 +#1152 := [unit-resolution #681 #1151]: #317 +#524 := (or #123 #125 #87) +#126 := (or #125 #87) +#127 := (or #123 #126) +#525 := (iff #127 #524) +#526 := [rewrite]: #525 +#513 := [asserted]: #127 +#527 := [mp #513 #526]: #524 +#1149 := [unit-resolution #527 #1152 #1154]: #87 +#280 := (or #277 #236) +#647 := [asserted]: #280 +#1150 := [unit-resolution #647 #1149]: #236 +#783 := (or #47 #49) +decl f4 :: S1 +#10 := f4 +#11 := (= f4 f1) +#464 := (or #47 #49 #11) +#786 := (iff #464 #783) +#780 := (or #47 #49 false) +#784 := (iff #780 #783) +#785 := [rewrite]: #784 +#781 := (iff #464 #780) +#755 := (iff #11 false) +#12 := (not #11) +#437 := [asserted]: #12 +#756 := [iff-false #437]: #755 +#782 := [monotonicity #756]: #781 +#787 := [trans #782 #785]: #786 +#50 := (or #49 #11) +#51 := (or #47 #50) +#465 := (iff #51 #464) +#466 := [rewrite]: #465 +#457 := [asserted]: #51 +#467 := [mp #457 #466]: #464 +#788 := [mp #467 #787]: #783 +#1147 := [unit-resolution #788 #1150]: #47 +#235 := (not #47) +#247 := (or #235 #214) +#623 := [asserted]: #247 +#1148 := [unit-resolution #623 #1147]: #214 +#764 := (or #20 #22) +decl f3 :: S1 +#7 := f3 +#8 := (= f3 f1) +#443 := (or #20 #22 #8) +#767 := (iff #443 #764) +#761 := (or #20 #22 false) +#765 := (iff #761 #764) +#766 := [rewrite]: #765 +#762 := (iff #443 #761) +#752 := (iff #8 false) +#9 := (not #8) +#436 := [asserted]: #9 +#754 := [iff-false #436]: #752 +#763 := [monotonicity #754]: #762 +#768 := [trans #763 #766]: #767 +#23 := (or #22 #8) +#24 := (or #20 #23) +#444 := (iff #24 #443) +#445 := [rewrite]: #444 +#440 := [asserted]: #24 +#446 := [mp #440 #445]: #443 +#769 := [mp #446 #768]: #764 +#1145 := [unit-resolution #769 #1148]: #20 +#213 := (not #20) +#221 := (or #218 #213) +#606 := [asserted]: #221 +#1146 := [unit-resolution #606 #1145]: #218 +decl f12 :: S1 +#33 := f12 +#34 := (= f12 f1) +#224 := (not #34) +decl f30 :: S1 +#92 := f30 +#93 := (= f30 f1) +#282 := (not #93) +#328 := (or #323 #282) +#682 := [asserted]: #328 +#1143 := [unit-resolution #682 #1151]: #282 decl f27 :: S1 #84 := f27 #85 := (= f27 f1) -decl f29 :: S1 -#90 := f29 -#91 := (= f29 f1) -#281 := (not #91) -decl f31 :: S1 -#97 := f31 -#98 := (= f31 f1) -decl f36 :: S1 -#113 := f36 -#114 := (= f36 f1) -decl f47 :: S1 -#151 := f47 -#152 := (= f47 f1) -#347 := (not #152) -#229 := (not #40) -#1030 := [hypothesis]: #229 -#1766 := (or #119 #40) -#313 := (not #119) -#970 := [hypothesis]: #313 -decl f22 :: S1 -#66 := f22 -#67 := (= f22 f1) -#256 := (not #67) -decl f20 :: S1 -#59 := f20 -#60 := (= f20 f1) -#1740 := (or #60 #40 #119) -decl f9 :: S1 -#25 := f9 -#26 := (= f9 f1) -#218 := (not #26) -#248 := (not #60) -#919 := [hypothesis]: #248 -#1666 := (or #218 #60) +#276 := (not #85) +#278 := (or #276 #277) +#645 := [asserted]: #278 +#1144 := [unit-resolution #645 #1149]: #276 decl f19 :: S1 #54 := f19 #55 := (= f19 f1) #241 := (not #55) -decl f8 :: S1 -#21 := f8 -#22 := (= f8 f1) -decl f7 :: S1 -#19 := f7 -#20 := (= f7 f1) -#213 := (not #20) -#1651 := [hypothesis]: #26 -#221 := (or #218 #213) -#459 := [asserted]: #221 -#1652 := [unit-resolution #459 #1651]: #213 -#904 := (or #20 #22) -decl f3 :: S1 -#7 := f3 -#8 := (= f3 f1) -#9 := (not #8) -#417 := [asserted]: #9 -#605 := (or #20 #22 #8) -#23 := (or #22 #8) -#24 := (or #20 #23) -#606 := (iff #24 #605) -#607 := [rewrite]: #606 -#421 := [asserted]: #24 -#608 := [mp #421 #607]: #605 -#905 := [unit-resolution #608 #417]: #904 -#1653 := [unit-resolution #905 #1652]: #22 -#214 := (not #22) -#246 := (or #241 #214) -#475 := [asserted]: #246 -#1654 := [unit-resolution #475 #1653]: #241 -decl f21 :: S1 -#61 := f21 -#62 := (= f21 f1) +#245 := (or #241 #235) +#621 := [asserted]: #245 +#1141 := [unit-resolution #621 #1147]: #241 +#499 := (or #91 #93 #85 #55) +#94 := (or #85 #55) +#95 := (or #93 #94) +#96 := (or #91 #95) +#500 := (iff #96 #499) +#501 := [rewrite]: #500 +#488 := [asserted]: #96 +#502 := [mp #488 #501]: #499 +#1142 := [unit-resolution #502 #1141 #1144 #1143]: #91 +#296 := (or #281 #249) +#659 := [asserted]: #296 +#1139 := [unit-resolution #659 #1142]: #249 +#240 := (not #53) +#243 := (or #240 #235) +#619 := [asserted]: #243 +#1140 := [unit-resolution #619 #1147]: #240 decl f10 :: S1 #27 := f10 #28 := (= f10 f1) #219 := (not #28) -#220 := (or #218 #219) -#458 := [asserted]: #220 -#1655 := [unit-resolution #458 #1651]: #219 -decl f18 :: S1 -#52 := f18 -#53 := (= f18 f1) -#240 := (not #53) -#244 := (or #240 #214) -#473 := [asserted]: #244 -#1656 := [unit-resolution #473 #1653]: #240 -#643 := (or #60 #62 #53 #28) +#222 := (or #219 #213) +#607 := [asserted]: #222 +#1137 := [unit-resolution #607 #1145]: #219 +#474 := (or #60 #62 #53 #28) #63 := (or #53 #28) #64 := (or #62 #63) #65 := (or #60 #64) -#646 := (iff #65 #643) -#637 := (or #62 #53 #28) -#640 := (or #60 #637) -#644 := (iff #640 #643) -#645 := [rewrite]: #644 -#641 := (iff #65 #640) -#638 := (iff #64 #637) -#639 := [rewrite]: #638 -#642 := [monotonicity #639]: #641 -#647 := [trans #642 #645]: #646 -#428 := [asserted]: #65 -#648 := [mp #428 #647]: #643 -#1657 := [unit-resolution #648 #1656 #919 #1655]: #62 -#249 := (not #62) -#296 := (or #281 #249) -#512 := [asserted]: #296 -#1658 := [unit-resolution #512 #1657]: #281 -#276 := (not #85) -decl f17 :: S1 -#48 := f17 -#49 := (= f17 f1) -decl f16 :: S1 -#46 := f16 -#47 := (= f16 f1) -#235 := (not #47) -#247 := (or #235 #214) -#476 := [asserted]: #247 -#1659 := [unit-resolution #476 #1653]: #235 -#915 := (or #47 #49) -decl f4 :: S1 -#10 := f4 -#11 := (= f4 f1) -#12 := (not #11) -#418 := [asserted]: #12 -#621 := (or #47 #49 #11) -#50 := (or #49 #11) -#51 := (or #47 #50) -#622 := (iff #51 #621) -#623 := [rewrite]: #622 -#426 := [asserted]: #51 -#624 := [mp #426 #623]: #621 -#916 := [unit-resolution #624 #418]: #915 -#1660 := [unit-resolution #916 #1659]: #49 -#236 := (not #49) -#279 := (or #276 #236) -#499 := [asserted]: #279 -#1661 := [unit-resolution #499 #1660]: #276 -#1663 := (or #91 #85 #55) -decl f30 :: S1 -#92 := f30 -#93 := (= f30 f1) -#282 := (not #93) -decl f40 :: S1 -#128 := f40 -#129 := (= f40 f1) -#289 := (not #98) -decl f41 :: S1 -#130 := f41 -#131 := (= f41 f1) -decl f52 :: S1 -#168 := f52 -#169 := (= f52 f1) -#364 := (not #169) -decl f60 :: S1 -#199 := f60 -#200 := (= f60 f1) -decl f61 :: S1 -#203 := f61 -#204 := (= f61 f1) -#404 := (not #204) -decl f56 :: S1 -#182 := f56 -#183 := (= f56 f1) -#322 := (not #129) -#881 := [hypothesis]: #322 -#1606 := (or #183 #129) -decl f54 :: S1 -#175 := f54 -#176 := (= f54 f1) -#372 := (not #176) -decl f43 :: S1 -#137 := f43 -#138 := (= f43 f1) -#380 := (not #183) -#882 := [hypothesis]: #380 -#1359 := (or #387 #129 #183) -decl f50 :: S1 -#162 := f50 -#163 := (= f50 f1) -decl f59 :: S1 -#196 := f59 -#197 := (= f59 f1) -#398 := (not #197) -decl f62 :: S1 -#207 := f62 -#208 := (= f62 f1) -decl f58 :: S1 -#189 := f58 -#190 := (= f58 f1) -#388 := (not #190) -#1337 := [hypothesis]: #188 -#389 := (or #387 #388) -#579 := [asserted]: #389 -#1338 := [unit-resolution #579 #1337]: #388 -#211 := (or #208 #190) -decl f5 :: S1 -#13 := f5 -#14 := (= f5 f1) -#15 := (not #14) -#419 := [asserted]: #15 -#857 := (or #14 #208 #190) -#212 := (or #14 #211) -#858 := (iff #212 #857) -#859 := [rewrite]: #858 -#454 := [asserted]: #212 -#860 := [mp #454 #859]: #857 -#1339 := [unit-resolution #860 #419]: #211 -#1340 := [unit-resolution #1339 #1338]: #208 -#408 := (not #208) -#409 := (or #408 #404) -#595 := [asserted]: #409 -#1341 := [unit-resolution #595 #1340]: #404 -decl f53 :: S1 -#173 := f53 -#174 := (= f53 f1) -decl f55 :: S1 -#180 := f55 -#181 := (= f55 f1) -#379 := (not #181) -#390 := (or #387 #379) -#580 := [asserted]: #390 -#1342 := [unit-resolution #580 #1337]: #379 -#391 := (or #387 #347) -#581 := [asserted]: #391 -#1343 := [unit-resolution #581 #1337]: #347 -#1335 := (or #339 #129 #181 #183 #204 #152) -decl f39 :: S1 -#124 := f39 -#125 := (= f39 f1) -#318 := (not #125) -#969 := [hypothesis]: #404 -#883 := [hypothesis]: #379 -decl f25 :: S1 -#75 := f25 -#76 := (= f25 f1) -#265 := (not #76) -#1172 := [hypothesis]: #347 -#1304 := (or #40 #152 #204 #181 #183 #129) -#1276 := (or #138 #152 #181 #183 #204 #129 #40) -decl f46 :: S1 -#149 := f46 -#150 := (= f46 f1) -#346 := (not #150) -#1152 := (or #119 #129 #181 #183 #204) -decl f32 :: S1 -#99 := f32 -#100 := (= f32 f1) -#331 := (not #138) -#400 := (not #200) -#359 := (not #163) -decl f28 :: S1 -#86 := f28 -#87 := (= f28 f1) -#277 := (not #87) -decl f11 :: S1 -#31 := f11 -#32 := (= f11 f1) +#475 := (iff #65 #474) +#476 := [rewrite]: #475 +#463 := [asserted]: #65 +#477 := [mp #463 #476]: #474 +#1138 := [unit-resolution #477 #1137 #1140 #1139]: #60 +#263 := (or #248 #224) +#635 := [asserted]: #263 +#1135 := [unit-resolution #635 #1138]: #224 +#453 := (or #32 #34 #26) +#35 := (or #34 #26) +#36 := (or #32 #35) +#454 := (iff #36 #453) +#455 := [rewrite]: #454 +#442 := [asserted]: #36 +#456 := [mp #442 #455]: #453 +#1136 := [unit-resolution #456 #1135 #1146]: #32 #223 := (not #32) +#231 := (or #228 #223) +#612 := [asserted]: #231 +#1133 := [unit-resolution #612 #1136]: #228 +#45 := (or #44 #38) +#452 := [asserted]: #45 +#1134 := [unit-resolution #452 #1133]: #44 #233 := (not #44) -#1008 := (or #233 #129 #181 #183 #204 #119) -#371 := (not #174) -decl f51 :: S1 -#166 := f51 -#167 := (= f51 f1) -decl f35 :: S1 -#111 := f35 -#112 := (= f35 f1) -#971 := [hypothesis]: #44 #274 := (or #272 #233) -#496 := [asserted]: #274 -#972 := [unit-resolution #496 #971]: #272 -#729 := (or #119 #112 #81) +#643 := [asserted]: #274 +#1131 := [unit-resolution #643 #1134]: #272 +#519 := (or #119 #112 #81) #120 := (or #112 #81) #121 := (or #119 #120) -#730 := (iff #121 #729) -#731 := [rewrite]: #730 -#437 := [asserted]: #121 -#732 := [mp #437 #731]: #729 -#973 := [unit-resolution #732 #972 #970]: #112 -#305 := (not #112) -#308 := (or #305 #297) -#520 := [asserted]: #308 -#974 := [unit-resolution #520 #973]: #297 -#309 := (or #305 #265) -#521 := [asserted]: #309 -#975 := [unit-resolution #521 #973]: #265 +#520 := (iff #121 #519) +#521 := [rewrite]: #520 +#508 := [asserted]: #121 +#522 := [mp #508 #521]: #519 +#1132 := [unit-resolution #522 #1131 #1153]: #112 +decl f14 :: S1 +#39 := f14 +#40 := (= f14 f1) +#229 := (not #40) +#232 := (or #229 #223) +#613 := [asserted]: #232 +#1129 := [unit-resolution #613 #1136]: #229 +decl f22 :: S1 +#66 := f22 +#67 := (= f22 f1) +#256 := (not #67) +#259 := (or #256 #248) +#631 := [asserted]: #259 +#1130 := [unit-resolution #631 #1138]: #256 decl f24 :: S1 #73 := f24 #74 := (= f24 f1) #264 := (not #74) #275 := (or #264 #233) -#497 := [asserted]: #275 -#976 := [unit-resolution #497 #971]: #264 -#908 := (or #372 #74 #76 #105 #129 #181 #183) -#879 := [hypothesis]: #176 -#377 := (or #372 #331) -#571 := [asserted]: #377 -#880 := [unit-resolution #571 #879]: #331 -decl f42 :: S1 -#135 := f42 -#136 := (= f42 f1) -#330 := (not #136) -#373 := (or #371 #372) -#567 := [asserted]: #373 -#884 := [unit-resolution #567 #879]: #371 -#823 := (or #181 #183 #174 #145) -#184 := (or #174 #145) -#185 := (or #183 #184) -#186 := (or #181 #185) -#826 := (iff #186 #823) -#817 := (or #183 #174 #145) -#820 := (or #181 #817) -#824 := (iff #820 #823) -#825 := [rewrite]: #824 -#821 := (iff #186 #820) -#818 := (iff #185 #817) -#819 := [rewrite]: #818 -#822 := [monotonicity #819]: #821 -#827 := [trans #822 #825]: #826 -#447 := [asserted]: #186 -#828 := [mp #447 #827]: #823 -#885 := [unit-resolution #828 #884 #883 #882]: #145 -#343 := (or #339 #330) -#546 := [asserted]: #343 -#886 := [unit-resolution #546 #885]: #330 -#755 := (or #136 #138 #129 #100) -#139 := (or #129 #100) -#140 := (or #138 #139) -#141 := (or #136 #140) -#758 := (iff #141 #755) -#749 := (or #138 #129 #100) -#752 := (or #136 #749) -#756 := (iff #752 #755) -#757 := [rewrite]: #756 -#753 := (iff #141 #752) -#750 := (iff #140 #749) -#751 := [rewrite]: #750 -#754 := [monotonicity #751]: #753 -#759 := [trans #754 #757]: #758 -#440 := [asserted]: #141 -#760 := [mp #440 #759]: #755 -#887 := [unit-resolution #760 #886 #881 #880]: #100 -#290 := (not #100) -#295 := (or #290 #249) -#511 := [asserted]: #295 -#888 := [unit-resolution #511 #887]: #249 -decl f23 :: S1 -#68 := f23 -#69 := (= f23 f1) -#298 := (not #107) -#344 := (or #339 #298) -#547 := [asserted]: #344 -#889 := [unit-resolution #547 #885]: #298 -#890 := [hypothesis]: #297 -#291 := (or #289 #290) -#507 := [asserted]: #291 -#891 := [unit-resolution #507 #887]: #289 -#711 := (or #105 #107 #98 #69) -#108 := (or #98 #69) -#109 := (or #107 #108) -#110 := (or #105 #109) -#714 := (iff #110 #711) -#705 := (or #107 #98 #69) -#708 := (or #105 #705) -#712 := (iff #708 #711) -#713 := [rewrite]: #712 -#709 := (iff #110 #708) -#706 := (iff #109 #705) -#707 := [rewrite]: #706 -#710 := [monotonicity #707]: #709 -#715 := [trans #710 #713]: #714 -#435 := [asserted]: #110 -#716 := [mp #435 #715]: #711 -#892 := [unit-resolution #716 #891 #890 #889]: #69 -#257 := (not #69) -#261 := (or #257 #248) -#486 := [asserted]: #261 -#893 := [unit-resolution #486 #892]: #248 -decl f12 :: S1 -#33 := f12 -#34 := (= f12 f1) -#224 := (not #34) -#262 := (or #257 #224) -#487 := [asserted]: #262 -#894 := [unit-resolution #487 #892]: #224 -#895 := [hypothesis]: #265 -#896 := [hypothesis]: #264 -#258 := (or #256 #257) -#483 := [asserted]: #258 -#897 := [unit-resolution #483 #892]: #256 -#667 := (or #74 #76 #67 #40) +#644 := [asserted]: #275 +#1127 := [unit-resolution #644 #1134]: #264 +#484 := (or #74 #76 #67 #40) #77 := (or #67 #40) #78 := (or #76 #77) #79 := (or #74 #78) -#670 := (iff #79 #667) -#661 := (or #76 #67 #40) -#664 := (or #74 #661) -#668 := (iff #664 #667) -#669 := [rewrite]: #668 -#665 := (iff #79 #664) -#662 := (iff #78 #661) -#663 := [rewrite]: #662 -#666 := [monotonicity #663]: #665 -#671 := [trans #666 #669]: #670 -#430 := [asserted]: #79 -#672 := [mp #430 #671]: #667 -#898 := [unit-resolution #672 #897 #896 #895]: #40 -#232 := (or #229 #223) -#466 := [asserted]: #232 -#899 := [unit-resolution #466 #898]: #223 -#613 := (or #32 #34 #26) -#35 := (or #34 #26) -#36 := (or #32 #35) -#614 := (iff #36 #613) -#615 := [rewrite]: #614 -#423 := [asserted]: #36 -#616 := [mp #423 #615]: #613 -#900 := [unit-resolution #616 #899 #894]: #26 -#901 := [unit-resolution #458 #900]: #219 -#902 := [unit-resolution #648 #901 #893 #888]: #53 -#903 := [unit-resolution #459 #900]: #213 -#906 := [unit-resolution #905 #903]: #22 -#907 := [unit-resolution #473 #906 #902]: false -#909 := [lemma #907]: #908 -#977 := [unit-resolution #909 #976 #975 #974 #881 #883 #882]: #372 -#849 := (or #204 #200 #176) -#205 := (or #200 #176) -#206 := (or #204 #205) -#850 := (iff #206 #849) -#851 := [rewrite]: #850 -#452 := [asserted]: #206 -#852 := [mp #452 #851]: #849 -#978 := [unit-resolution #852 #977 #969]: #200 -#402 := (or #400 #364) -#590 := [asserted]: #402 -#979 := [unit-resolution #590 #978]: #364 -decl f49 :: S1 -#160 := f49 -#161 := (= f49 f1) -#358 := (not #161) -#401 := (or #400 #398) -#589 := [asserted]: #401 -#980 := [unit-resolution #589 #978]: #398 -#198 := (or #197 #163) -#450 := [asserted]: #198 -#981 := [unit-resolution #450 #980]: #163 -#360 := (or #358 #359) -#558 := [asserted]: #360 -#982 := [unit-resolution #558 #981]: #358 -#323 := (not #131) -decl f38 :: S1 -#122 := f38 -#123 := (= f38 f1) -#362 := (or #359 #318) -#560 := [asserted]: #362 -#983 := [unit-resolution #560 #981]: #318 -#946 := (or #256 #105 #129 #181 #183 #161 #169 #125) -#931 := [hypothesis]: #364 -#932 := [hypothesis]: #358 -#910 := [hypothesis]: #318 -#933 := [hypothesis]: #67 -#259 := (or #256 #248) -#484 := [asserted]: #259 -#934 := [unit-resolution #484 #933]: #248 -#929 := (or #323 #60 #125) -#317 := (not #123) -#911 := [hypothesis]: #131 -#327 := (or #323 #317) -#534 := [asserted]: #327 -#912 := [unit-resolution #534 #911]: #317 -#733 := (or #123 #125 #87) -#126 := (or #125 #87) -#127 := (or #123 #126) -#734 := (iff #127 #733) -#735 := [rewrite]: #734 -#438 := [asserted]: #127 -#736 := [mp #438 #735]: #733 -#913 := [unit-resolution #736 #912 #910]: #87 -#280 := (or #277 #236) -#500 := [asserted]: #280 -#914 := [unit-resolution #500 #913]: #236 -#917 := [unit-resolution #916 #914]: #47 -#243 := (or #240 #235) -#472 := [asserted]: #243 -#918 := [unit-resolution #472 #917]: #240 -#328 := (or #323 #282) -#535 := [asserted]: #328 -#920 := [unit-resolution #535 #911]: #282 -#278 := (or #276 #277) -#498 := [asserted]: #278 -#921 := [unit-resolution #498 #913]: #276 -#245 := (or #241 #235) -#474 := [asserted]: #245 -#922 := [unit-resolution #474 #917]: #241 -#687 := (or #91 #93 #85 #55) -#94 := (or #85 #55) -#95 := (or #93 #94) -#96 := (or #91 #95) -#690 := (iff #96 #687) -#681 := (or #93 #85 #55) -#684 := (or #91 #681) -#688 := (iff #684 #687) -#689 := [rewrite]: #688 -#685 := (iff #96 #684) -#682 := (iff #95 #681) -#683 := [rewrite]: #682 -#686 := [monotonicity #683]: #685 -#691 := [trans #686 #689]: #690 -#433 := [asserted]: #96 -#692 := [mp #433 #691]: #687 -#923 := [unit-resolution #692 #922 #921 #920]: #91 -#924 := [unit-resolution #512 #923]: #249 -#925 := [unit-resolution #476 #917]: #214 -#926 := [unit-resolution #905 #925]: #20 -#222 := (or #219 #213) -#460 := [asserted]: #222 -#927 := [unit-resolution #460 #926]: #219 -#928 := [unit-resolution #648 #927 #924 #919 #918]: false -#930 := [lemma #928]: #929 -#935 := [unit-resolution #930 #934 #910]: #323 -#799 := (or #167 #169 #161 #131) +#485 := (iff #79 #484) +#486 := [rewrite]: #485 +#473 := [asserted]: #79 +#487 := [mp #473 #486]: #484 +#1128 := [unit-resolution #487 #1127 #1130 #1129]: #76 +#265 := (not #76) +#309 := (or #305 #265) +#668 := [asserted]: #309 +#1125 := [unit-resolution #668 #1128 #1132]: false +#1123 := [lemma #1125]: #1126 +#1018 := [unit-resolution #1123 #1019 #1153]: #323 +#559 := (or #167 #169 #161 #131) #170 := (or #161 #131) #171 := (or #169 #170) #172 := (or #167 #171) -#802 := (iff #172 #799) -#793 := (or #169 #161 #131) -#796 := (or #167 #793) -#800 := (iff #796 #799) -#801 := [rewrite]: #800 -#797 := (iff #172 #796) -#794 := (iff #171 #793) -#795 := [rewrite]: #794 -#798 := [monotonicity #795]: #797 -#803 := [trans #798 #801]: #802 -#445 := [asserted]: #172 -#804 := [mp #445 #803]: #799 -#936 := [unit-resolution #804 #935 #932 #931]: #167 -#363 := (not #167) +#560 := (iff #172 #559) +#561 := [rewrite]: #560 +#548 := [asserted]: #172 +#562 := [mp #548 #561]: #559 +#1015 := [unit-resolution #562 #1018 #1017 #1020]: #167 #378 := (or #363 #331) -#572 := [asserted]: #378 -#937 := [unit-resolution #572 #936]: #331 -#374 := (or #371 #363) -#568 := [asserted]: #374 -#938 := [unit-resolution #568 #936]: #371 -#939 := [unit-resolution #828 #938 #883 #882]: #145 -#940 := [unit-resolution #546 #939]: #330 -#941 := [unit-resolution #760 #940 #881 #937]: #100 -#942 := [unit-resolution #483 #933]: #257 -#943 := [unit-resolution #547 #939]: #298 -#944 := [unit-resolution #716 #943 #890 #942]: #98 -#945 := [unit-resolution #507 #944 #941]: false -#947 := [lemma #945]: #946 -#984 := [unit-resolution #947 #974 #881 #883 #882 #982 #979 #983]: #256 -#985 := [unit-resolution #672 #984 #976 #975]: #40 -#986 := [unit-resolution #466 #985]: #223 -#967 := (or #60 #32 #105 #129 #181 #183 #161 #169 #125) -#948 := [unit-resolution #930 #919 #910]: #323 -#949 := [unit-resolution #804 #948 #932 #931]: #167 -#950 := [unit-resolution #572 #949]: #331 -#951 := [unit-resolution #568 #949]: #371 -#952 := [unit-resolution #828 #951 #883 #882]: #145 -#953 := [unit-resolution #546 #952]: #330 -#954 := [unit-resolution #760 #953 #881 #950]: #100 -#955 := [unit-resolution #511 #954]: #249 -#956 := [hypothesis]: #223 -#957 := [unit-resolution #547 #952]: #298 -#958 := [unit-resolution #507 #954]: #289 -#959 := [unit-resolution #716 #958 #890 #957]: #69 -#960 := [unit-resolution #487 #959]: #224 -#961 := [unit-resolution #616 #960 #956]: #26 -#962 := [unit-resolution #458 #961]: #219 -#963 := [unit-resolution #648 #962 #919 #955]: #53 -#964 := [unit-resolution #459 #961]: #213 -#965 := [unit-resolution #905 #964]: #22 -#966 := [unit-resolution #473 #965 #963]: false -#968 := [lemma #966]: #967 -#987 := [unit-resolution #968 #986 #974 #881 #883 #882 #982 #979 #983]: #60 -#263 := (or #248 #224) -#488 := [asserted]: #263 -#988 := [unit-resolution #488 #987]: #224 -#989 := [unit-resolution #616 #988 #986]: #26 -#990 := [unit-resolution #459 #989]: #213 -#991 := [unit-resolution #905 #990]: #22 -#992 := [unit-resolution #476 #991]: #235 -#993 := [unit-resolution #916 #992]: #49 -#994 := [unit-resolution #500 #993]: #277 -#995 := [unit-resolution #736 #994 #983]: #123 -#996 := [unit-resolution #534 #995]: #323 -#997 := [unit-resolution #804 #996 #982 #979]: #167 -#998 := [unit-resolution #568 #997]: #371 -#999 := [unit-resolution #828 #998 #883 #882]: #145 -#1000 := [unit-resolution #572 #997]: #331 -#1001 := [unit-resolution #499 #993]: #276 -#1002 := [unit-resolution #475 #991]: #241 -#329 := (or #317 #282) -#536 := [asserted]: #329 -#1003 := [unit-resolution #536 #995]: #282 -#1004 := [unit-resolution #692 #1003 #1002 #1001]: #91 -#294 := (or #290 #281) -#510 := [asserted]: #294 -#1005 := [unit-resolution #510 #1004]: #290 -#1006 := [unit-resolution #760 #1005 #881 #1000]: #136 -#1007 := [unit-resolution #546 #1006 #999]: false -#1009 := [lemma #1007]: #1008 -#1072 := [unit-resolution #1009 #970 #883 #882 #969 #881]: #233 -#45 := (or #44 #38) -#425 := [asserted]: #45 -#1073 := [unit-resolution #425 #1072]: #38 -#231 := (or #228 #223) -#465 := [asserted]: #231 -#1075 := [unit-resolution #465 #1073]: #223 -#1100 := (or #60 #119 #129 #181 #183 #204) -#230 := (or #228 #229) -#464 := [asserted]: #230 -#1074 := [unit-resolution #464 #1073]: #229 -#1086 := (or #125 #129 #119 #60 #181 #183 #204) -#1023 := [unit-resolution #930 #910 #919]: #323 -#1020 := (or #371 #131 #204) -#1010 := [hypothesis]: #174 -#1011 := [unit-resolution #567 #1010]: #372 -#1012 := [unit-resolution #852 #1011 #969]: #200 -#1013 := [unit-resolution #589 #1012]: #398 -#1014 := [unit-resolution #450 #1013]: #163 -#1015 := [unit-resolution #568 #1010]: #363 -#1016 := [hypothesis]: #323 -#1017 := [unit-resolution #590 #1012]: #364 -#1018 := [unit-resolution #804 #1017 #1016 #1015]: #161 -#1019 := [unit-resolution #558 #1018 #1014]: false -#1021 := [lemma #1019]: #1020 -#1069 := [unit-resolution #1021 #1023 #969]: #371 -#1070 := [unit-resolution #828 #1069 #883 #882]: #145 -#1071 := [unit-resolution #546 #1070]: #330 -#1076 := [unit-resolution #547 #1070]: #298 -#1067 := (or #290 #60 #32 #119 #107 #40) -#1057 := [hypothesis]: #100 -#1058 := [unit-resolution #511 #1057]: #249 -#1045 := [hypothesis]: #298 -#1059 := [unit-resolution #507 #1057]: #289 -#1055 := (or #224 #40 #119 #107 #98) -#1044 := [hypothesis]: #289 -#1046 := [hypothesis]: #34 -#1047 := [unit-resolution #487 #1046]: #257 -#1048 := [unit-resolution #716 #1047 #1045 #1044]: #105 -#1049 := [unit-resolution #520 #1048]: #305 -#1050 := [unit-resolution #732 #1049 #970]: #81 -#260 := (or #256 #224) -#485 := [asserted]: #260 -#1051 := [unit-resolution #485 #1046]: #256 -#312 := (or #297 #265) -#524 := [asserted]: #312 -#1052 := [unit-resolution #524 #1048]: #265 -#1053 := [unit-resolution #672 #1052 #1030 #1051]: #74 -#273 := (or #272 #264) -#495 := [asserted]: #273 -#1054 := [unit-resolution #495 #1053 #1050]: false -#1056 := [lemma #1054]: #1055 -#1060 := [unit-resolution #1056 #1059 #970 #1045 #1030]: #224 -#1061 := [unit-resolution #616 #1060 #956]: #26 -#1062 := [unit-resolution #458 #1061]: #219 -#1063 := [unit-resolution #648 #1062 #919 #1058]: #53 -#1064 := [unit-resolution #459 #1061]: #213 -#1065 := [unit-resolution #905 #1064]: #22 -#1066 := [unit-resolution #473 #1065 #1063]: false -#1068 := [lemma #1066]: #1067 -#1077 := [unit-resolution #1068 #1076 #1075 #970 #919 #1074]: #290 -#1078 := [unit-resolution #760 #1077 #881 #1071]: #138 -#1079 := [unit-resolution #571 #1078]: #372 -#1080 := [unit-resolution #852 #1079 #969]: #200 -#1081 := [unit-resolution #589 #1080]: #398 -#1082 := [unit-resolution #450 #1081]: #163 -#1083 := [unit-resolution #590 #1080]: #364 -#1042 := (or #161 #60 #32 #40 #129 #136 #119 #169 #181 #183 #125) -#1022 := [hypothesis]: #330 -#1024 := [unit-resolution #804 #932 #1023 #931]: #167 -#1025 := [unit-resolution #572 #1024]: #331 -#1026 := [unit-resolution #760 #1025 #881 #1022]: #100 -#1027 := [unit-resolution #511 #1026]: #249 -#1028 := [unit-resolution #968 #932 #956 #881 #883 #882 #919 #931 #910]: #105 -#1029 := [unit-resolution #524 #1028]: #265 -#1031 := [unit-resolution #520 #1028]: #305 -#1032 := [unit-resolution #732 #1031 #970]: #81 -#1033 := [unit-resolution #495 #1032]: #264 -#1034 := [unit-resolution #672 #1033 #1030 #1029]: #67 -#1035 := [unit-resolution #485 #1034]: #224 -#1036 := [unit-resolution #616 #1035 #956]: #26 -#1037 := [unit-resolution #458 #1036]: #219 -#1038 := [unit-resolution #648 #1037 #919 #1027]: #53 -#1039 := [unit-resolution #459 #1036]: #213 -#1040 := [unit-resolution #905 #1039]: #22 -#1041 := [unit-resolution #473 #1040 #1038]: false -#1043 := [lemma #1041]: #1042 -#1084 := [unit-resolution #1043 #1083 #1075 #1074 #881 #1071 #970 #919 #883 #882 #910]: #161 -#1085 := [unit-resolution #558 #1084 #1082]: false -#1087 := [lemma #1085]: #1086 -#1088 := [unit-resolution #1087 #919 #970 #881 #883 #882 #969]: #125 -#1089 := [unit-resolution #560 #1088]: #359 -#1090 := [unit-resolution #450 #1089]: #197 -#1091 := [unit-resolution #589 #1090]: #400 -#1092 := [unit-resolution #852 #1091 #969]: #176 -#1093 := [unit-resolution #567 #1092]: #371 -#1094 := [unit-resolution #828 #1093 #883 #882]: #145 -#1095 := [unit-resolution #547 #1094]: #298 -#1096 := [unit-resolution #571 #1092]: #331 -#1097 := [unit-resolution #546 #1094]: #330 -#1098 := [unit-resolution #760 #1097 #881 #1096]: #100 -#1099 := [unit-resolution #1068 #1098 #1095 #1075 #970 #919 #1074]: false -#1101 := [lemma #1099]: #1100 -#1125 := [unit-resolution #1101 #970 #881 #883 #882 #969]: #60 -#1126 := [unit-resolution #488 #1125]: #224 -#1127 := [unit-resolution #616 #1126 #1075]: #26 -#1128 := [unit-resolution #459 #1127]: #213 -#1129 := [unit-resolution #905 #1128]: #22 -#1130 := [unit-resolution #476 #1129]: #235 -#1131 := [unit-resolution #916 #1130]: #49 -#1132 := [unit-resolution #500 #1131]: #277 -#1133 := [unit-resolution #475 #1129]: #241 -#1134 := [unit-resolution #499 #1131]: #276 -#1135 := [unit-resolution #484 #1125]: #256 -#1109 := (or #297 #40 #67 #119) -#1102 := [hypothesis]: #105 -#1103 := [unit-resolution #520 #1102]: #305 -#1104 := [unit-resolution #732 #1103 #970]: #81 -#1105 := [hypothesis]: #256 -#1106 := [unit-resolution #524 #1102]: #265 -#1107 := [unit-resolution #672 #1106 #1030 #1105]: #74 -#1108 := [unit-resolution #495 #1107 #1104]: false -#1110 := [lemma #1108]: #1109 -#1136 := [unit-resolution #1110 #1074 #1135 #970]: #297 -#1137 := [unit-resolution #486 #1125]: #257 -#1123 := (or #317 #69 #105 #181 #183 #85 #55 #204) -#1111 := [hypothesis]: #257 -#1112 := [hypothesis]: #241 -#1113 := [hypothesis]: #276 -#1114 := [hypothesis]: #123 -#1115 := [unit-resolution #536 #1114]: #282 -#1116 := [unit-resolution #692 #1115 #1113 #1112]: #91 -#292 := (or #289 #281) -#508 := [asserted]: #292 -#1117 := [unit-resolution #508 #1116]: #289 -#1118 := [unit-resolution #534 #1114]: #323 -#1119 := [unit-resolution #1021 #1118 #969]: #371 -#1120 := [unit-resolution #828 #1119 #883 #882]: #145 -#1121 := [unit-resolution #547 #1120]: #298 -#1122 := [unit-resolution #716 #1121 #1117 #1111 #890]: false -#1124 := [lemma #1122]: #1123 -#1138 := [unit-resolution #1124 #1137 #1136 #883 #882 #1134 #1133 #969]: #317 -#1139 := [unit-resolution #736 #1138 #1132]: #125 -#1140 := [unit-resolution #560 #1139]: #359 -#1141 := [unit-resolution #450 #1140]: #197 -#1142 := [unit-resolution #589 #1141]: #400 -#1143 := [unit-resolution #852 #1142 #969]: #176 -#1144 := [unit-resolution #571 #1143]: #331 -#1145 := [unit-resolution #567 #1143]: #371 -#1146 := [unit-resolution #828 #1145 #883 #882]: #145 -#1147 := [unit-resolution #546 #1146]: #330 -#1148 := [unit-resolution #760 #1147 #881 #1144]: #100 -#1149 := [unit-resolution #547 #1146]: #298 -#1150 := [unit-resolution #716 #1149 #1137 #1136]: #98 -#1151 := [unit-resolution #507 #1150 #1148]: false -#1153 := [lemma #1151]: #1152 -#1195 := [unit-resolution #1153 #883 #881 #882 #969]: #119 -#357 := (or #346 #313) -#557 := [asserted]: #357 -#1196 := [unit-resolution #557 #1195]: #346 -decl f44 :: S1 -#142 := f44 -#143 := (= f44 f1) -#338 := (not #143) -#1207 := (or #60 #204 #181 #183 #40 #129 #152) -#1165 := (or #331 #60 #204) -#1154 := [hypothesis]: #138 -#1155 := [unit-resolution #571 #1154]: #372 -#1156 := [unit-resolution #852 #1155 #969]: #200 -#1157 := [unit-resolution #589 #1156]: #398 -#1158 := [unit-resolution #450 #1157]: #163 -#1159 := [unit-resolution #560 #1158]: #318 -#1160 := [unit-resolution #590 #1156]: #364 -#1161 := [unit-resolution #572 #1154]: #363 -#1162 := [unit-resolution #558 #1158]: #358 -#1163 := [unit-resolution #804 #1162 #1161 #1160]: #131 -#1164 := [unit-resolution #930 #1163 #1159 #919]: false -#1166 := [lemma #1164]: #1165 -#1197 := [unit-resolution #1166 #919 #969]: #331 -#1193 := (or #339 #60 #40 #129 #138 #150 #152) -#1167 := [hypothesis]: #331 -#1168 := [hypothesis]: #145 -#1169 := [unit-resolution #546 #1168]: #330 -#1170 := [unit-resolution #760 #1169 #881 #1167]: #100 -#1171 := [unit-resolution #511 #1170]: #249 -#1173 := [hypothesis]: #346 -#340 := (or #338 #339) -#543 := [asserted]: #340 -#1174 := [unit-resolution #543 #1168]: #338 -#779 := (or #150 #152 #143 #114) +#719 := [asserted]: #378 +#1016 := [unit-resolution #719 #1015]: #331 +#1026 := (or #305 #138 #125 #150 #152) +#1049 := [hypothesis]: #112 +#307 := (or #305 #306) +#666 := [asserted]: #307 +#1050 := [unit-resolution #666 #1049]: #306 +#544 := (or #150 #152 #143 #114) #153 := (or #143 #114) #154 := (or #152 #153) #155 := (or #150 #154) -#782 := (iff #155 #779) -#773 := (or #152 #143 #114) -#776 := (or #150 #773) -#780 := (iff #776 #779) -#781 := [rewrite]: #780 -#777 := (iff #155 #776) -#774 := (iff #154 #773) -#775 := [rewrite]: #774 -#778 := [monotonicity #775]: #777 -#783 := [trans #778 #781]: #782 -#442 := [asserted]: #155 -#784 := [mp #442 #783]: #779 -#1175 := [unit-resolution #784 #1174 #1173 #1172]: #114 -#306 := (not #114) -#310 := (or #306 #297) -#522 := [asserted]: #310 -#1176 := [unit-resolution #522 #1175]: #297 -#1177 := [unit-resolution #547 #1168]: #298 -#1178 := [unit-resolution #507 #1170]: #289 -#1179 := [unit-resolution #716 #1178 #1177 #1176]: #69 -#1180 := [unit-resolution #487 #1179]: #224 -#311 := (or #306 #265) -#523 := [asserted]: #311 -#1181 := [unit-resolution #523 #1175]: #265 -#1182 := [unit-resolution #483 #1179]: #256 -#1183 := [unit-resolution #672 #1182 #1030 #1181]: #74 -#1184 := [unit-resolution #497 #1183]: #233 -#1185 := [unit-resolution #425 #1184]: #38 -#1186 := [unit-resolution #465 #1185]: #223 -#1187 := [unit-resolution #616 #1186 #1180]: #26 -#1188 := [unit-resolution #458 #1187]: #219 -#1189 := [unit-resolution #648 #1188 #919 #1171]: #53 -#1190 := [unit-resolution #459 #1187]: #213 -#1191 := [unit-resolution #905 #1190]: #22 -#1192 := [unit-resolution #473 #1191 #1189]: false -#1194 := [lemma #1192]: #1193 -#1198 := [unit-resolution #1194 #919 #1030 #881 #1197 #1196 #1172]: #339 -#1199 := [unit-resolution #828 #1198 #883 #882]: #174 -#1200 := [unit-resolution #567 #1199]: #372 -#1201 := [unit-resolution #852 #1200 #969]: #200 -#1202 := [unit-resolution #589 #1201]: #398 -#1203 := [unit-resolution #1021 #1199 #969]: #131 -#1204 := [unit-resolution #930 #1203 #919]: #125 -#1205 := [unit-resolution #560 #1204]: #359 -#1206 := [unit-resolution #450 #1205 #1202]: false -#1208 := [lemma #1206]: #1207 -#1261 := [unit-resolution #1208 #1030 #883 #882 #969 #881 #1172]: #60 -#1262 := [unit-resolution #486 #1261]: #257 -#1218 := (or #281 #69 #150 #152 #129 #138) -#1209 := [hypothesis]: #91 -#1210 := [unit-resolution #510 #1209]: #290 -#1211 := [unit-resolution #760 #1210 #881 #1167]: #136 -#341 := (or #338 #330) -#544 := [asserted]: #341 -#1212 := [unit-resolution #544 #1211]: #338 -#1213 := [unit-resolution #784 #1212 #1173 #1172]: #114 -#1214 := [unit-resolution #508 #1209]: #289 -#345 := (or #330 #298) -#548 := [asserted]: #345 -#1215 := [unit-resolution #548 #1211]: #298 -#1216 := [unit-resolution #716 #1215 #1111 #1214]: #105 -#1217 := [unit-resolution #522 #1216 #1213]: false -#1219 := [lemma #1217]: #1218 -#1263 := [unit-resolution #1219 #1167 #1196 #1172 #881 #1262]: #281 -#1259 := (or #371 #91 #204) -#1249 := [unit-resolution #1021 #1010 #969]: #131 -#1250 := [unit-resolution #535 #1249]: #282 -#1236 := [hypothesis]: #281 -#1251 := [unit-resolution #534 #1249]: #317 -#1252 := [unit-resolution #560 #1014]: #318 -#1253 := [unit-resolution #736 #1252 #1251]: #87 -#1254 := [unit-resolution #498 #1253]: #276 -#1255 := [unit-resolution #692 #1254 #1236 #1250]: #55 -#1256 := [unit-resolution #500 #1253]: #236 -#1257 := [unit-resolution #916 #1256]: #47 -#1258 := [unit-resolution #474 #1257 #1255]: false -#1260 := [lemma #1258]: #1259 -#1264 := [unit-resolution #1260 #1263 #969]: #371 -#1265 := [unit-resolution #828 #1264 #883 #882]: #145 -#1266 := [unit-resolution #543 #1265]: #338 -#1267 := [unit-resolution #784 #1266 #1196 #1172]: #114 -#1268 := [unit-resolution #484 #1261]: #256 -#1269 := [unit-resolution #488 #1261]: #224 -#1247 := (or #330 #91 #34 #204 #40 #67 #181 #183 #150 #152) -#1220 := [hypothesis]: #224 -#1221 := [hypothesis]: #136 -#1222 := [unit-resolution #544 #1221]: #338 -#1223 := [unit-resolution #784 #1222 #1173 #1172]: #114 -#1224 := [unit-resolution #523 #1223]: #265 -#1225 := [unit-resolution #672 #1224 #1030 #1105]: #74 -#1226 := [unit-resolution #497 #1225]: #233 -#1227 := [unit-resolution #425 #1226]: #38 -#1228 := [unit-resolution #465 #1227]: #223 -#1229 := [unit-resolution #616 #1228 #1220]: #26 -#1230 := [unit-resolution #459 #1229]: #213 -#1231 := [unit-resolution #905 #1230]: #22 -#1232 := [unit-resolution #546 #1221]: #339 -#1233 := [unit-resolution #828 #1232 #883 #882]: #174 -#1234 := [unit-resolution #1021 #1233 #969]: #131 -#1235 := [unit-resolution #535 #1234]: #282 -#1237 := [unit-resolution #534 #1234]: #317 -#1238 := [unit-resolution #567 #1233]: #372 -#1239 := [unit-resolution #852 #1238 #969]: #200 -#1240 := [unit-resolution #589 #1239]: #398 -#1241 := [unit-resolution #450 #1240]: #163 -#1242 := [unit-resolution #560 #1241]: #318 -#1243 := [unit-resolution #736 #1242 #1237]: #87 -#1244 := [unit-resolution #498 #1243]: #276 -#1245 := [unit-resolution #692 #1244 #1236 #1235]: #55 -#1246 := [unit-resolution #475 #1245 #1231]: false -#1248 := [lemma #1246]: #1247 -#1270 := [unit-resolution #1248 #1263 #1269 #969 #1030 #1268 #883 #882 #1196 #1172]: #330 -#1271 := [unit-resolution #760 #1270 #881 #1167]: #100 -#1272 := [unit-resolution #507 #1271]: #289 -#1273 := [unit-resolution #547 #1265]: #298 -#1274 := [unit-resolution #716 #1273 #1262 #1272]: #105 -#1275 := [unit-resolution #522 #1274 #1267]: false -#1277 := [lemma #1275]: #1276 -#1278 := [unit-resolution #1277 #1030 #883 #882 #969 #881 #1172]: #138 -#1279 := [unit-resolution #571 #1278]: #372 -#1280 := [unit-resolution #852 #1279 #969]: #200 -#1281 := [unit-resolution #590 #1280]: #364 -#1282 := [unit-resolution #572 #1278]: #363 -#1283 := [unit-resolution #589 #1280]: #398 -#1284 := [unit-resolution #450 #1283]: #163 -#1285 := [unit-resolution #558 #1284]: #358 -#1286 := [unit-resolution #804 #1285 #1282 #1281]: #131 -#1287 := [unit-resolution #535 #1286]: #282 -#375 := (or #371 #331) -#569 := [asserted]: #375 -#1288 := [unit-resolution #569 #1278]: #371 -#1289 := [unit-resolution #828 #1288 #883 #882]: #145 -#1290 := [unit-resolution #547 #1289]: #298 -#1291 := [unit-resolution #543 #1289]: #338 -#1292 := [unit-resolution #784 #1291 #1196 #1172]: #114 -#1293 := [unit-resolution #522 #1292]: #297 -#1294 := [unit-resolution #716 #1293 #1262 #1290]: #98 -#1295 := [unit-resolution #508 #1294]: #281 -#1296 := [unit-resolution #560 #1284]: #318 -#1297 := [unit-resolution #534 #1286]: #317 -#1298 := [unit-resolution #736 #1297 #1296]: #87 -#1299 := [unit-resolution #498 #1298]: #276 -#1300 := [unit-resolution #692 #1299 #1295 #1287]: #55 -#1301 := [unit-resolution #500 #1298]: #236 -#1302 := [unit-resolution #916 #1301]: #47 -#1303 := [unit-resolution #474 #1302 #1300]: false -#1305 := [lemma #1303]: #1304 -#1306 := [unit-resolution #1305 #1172 #969 #883 #882 #881]: #40 -#270 := (or #265 #229) -#493 := [asserted]: #270 -#1307 := [unit-resolution #493 #1306]: #265 -#268 := (or #264 #229) -#491 := [asserted]: #268 -#1308 := [unit-resolution #491 #1306]: #264 -#1309 := [unit-resolution #784 #1174 #1196 #1172]: #114 -#1310 := [unit-resolution #522 #1309]: #297 -#1311 := [unit-resolution #909 #1310 #1308 #1307 #881 #883 #882]: #372 -#1312 := [unit-resolution #852 #1311 #969]: #200 -#1313 := [unit-resolution #589 #1312]: #398 -#1314 := [unit-resolution #450 #1313]: #163 -#1315 := [unit-resolution #560 #1314]: #318 -#1316 := [unit-resolution #590 #1312]: #364 -#1317 := [unit-resolution #558 #1314]: #358 -#1318 := [unit-resolution #466 #1306]: #223 -#1319 := [unit-resolution #968 #1315 #1317 #881 #883 #882 #1316 #1310 #1318]: #60 -#1320 := [unit-resolution #486 #1319]: #257 -#1321 := [unit-resolution #716 #1320 #1310 #1177]: #98 -#1322 := [unit-resolution #507 #1321]: #290 -#1323 := [unit-resolution #760 #1322 #881 #1169]: #138 -#1324 := [unit-resolution #572 #1323]: #363 -#1325 := [unit-resolution #804 #1324 #1317 #1316]: #131 -#1326 := [unit-resolution #534 #1325]: #317 -#1327 := [unit-resolution #488 #1319]: #224 -#1328 := [unit-resolution #616 #1327 #1318]: #26 -#1329 := [unit-resolution #459 #1328]: #213 -#1330 := [unit-resolution #905 #1329]: #22 -#1331 := [unit-resolution #476 #1330]: #235 -#1332 := [unit-resolution #916 #1331]: #49 -#1333 := [unit-resolution #500 #1332]: #277 -#1334 := [unit-resolution #736 #1333 #1326 #1315]: false -#1336 := [lemma #1334]: #1335 -#1344 := [unit-resolution #1336 #1342 #881 #882 #1341 #1343]: #339 -#1345 := [unit-resolution #828 #1344 #1342 #882]: #174 -#1346 := [unit-resolution #567 #1345]: #372 -#1347 := [unit-resolution #852 #1346 #1341]: #200 -#1348 := [unit-resolution #589 #1347]: #398 -#1349 := [unit-resolution #450 #1348]: #163 -#1350 := [unit-resolution #1021 #1345 #1341]: #131 -#1351 := [unit-resolution #569 #1345]: #331 -#1352 := [unit-resolution #1153 #1342 #881 #882 #1341]: #119 -#1353 := [unit-resolution #557 #1352]: #346 -#1354 := [unit-resolution #1260 #1345 #1341]: #91 -#1355 := [unit-resolution #1219 #1354 #1353 #1343 #881 #1351]: #69 -#1356 := [unit-resolution #486 #1355]: #248 -#1357 := [unit-resolution #930 #1356 #1350]: #125 -#1358 := [unit-resolution #560 #1357 #1349]: false -#1360 := [lemma #1358]: #1359 -#1496 := [unit-resolution #1360 #882 #881]: #387 -#194 := (or #188 #157) -decl f6 :: S1 -#16 := f6 -#17 := (= f6 f1) -#18 := (not #17) -#420 := [asserted]: #18 -#841 := (or #17 #188 #157) -#195 := (or #17 #194) -#842 := (iff #195 #841) -#843 := [rewrite]: #842 -#449 := [asserted]: #195 -#844 := [mp #449 #843]: #841 -#1497 := [unit-resolution #844 #420]: #194 -#1498 := [unit-resolution #1497 #1496]: #157 -#356 := (or #354 #313) -#556 := [asserted]: #356 -#1499 := [unit-resolution #556 #1498]: #313 -#355 := (or #354 #346) -#555 := [asserted]: #355 -#1564 := [unit-resolution #555 #1498]: #346 -#1503 := (or #347 #129 #183) -#1493 := [hypothesis]: #152 -#393 := (or #388 #347) -#583 := [asserted]: #393 -#1494 := [unit-resolution #583 #1493]: #388 -#1495 := [unit-resolution #1339 #1494]: #208 -#394 := (or #379 #347) -#584 := [asserted]: #394 -#1500 := [unit-resolution #584 #1493]: #379 -#1501 := [unit-resolution #1153 #1500 #881 #882 #1499]: #204 -#1502 := [unit-resolution #595 #1501 #1495]: false -#1504 := [lemma #1502]: #1503 -#1565 := [unit-resolution #1504 #882 #881]: #347 -#1491 := (or #152 #129 #138 #150 #119) -#1476 := (or #40 #129 #138 #150 #152 #119) -#1455 := (or #60 #129 #138 #150 #152 #119) -#1431 := (or #40 #119 #150 #152 #129 #138 #60) -#1382 := (or #289 #60 #40 #119 #150 #152 #129 #138) -#1361 := [hypothesis]: #98 -#293 := (or #289 #249) -#509 := [asserted]: #293 -#1362 := [unit-resolution #509 #1361]: #249 -#1363 := [unit-resolution #507 #1361]: #290 -#1364 := [unit-resolution #760 #1363 #881 #1167]: #136 -#1365 := [unit-resolution #544 #1364]: #338 -#1366 := [unit-resolution #784 #1365 #1173 #1172]: #114 -#307 := (or #305 #306) -#519 := [asserted]: #307 -#1367 := [unit-resolution #519 #1366]: #305 -#1368 := [unit-resolution #732 #1367 #970]: #81 -#1369 := [unit-resolution #496 #1368]: #233 -#1370 := [unit-resolution #425 #1369]: #38 -#1371 := [unit-resolution #465 #1370]: #223 -#1372 := [unit-resolution #523 #1366]: #265 -#1373 := [unit-resolution #495 #1368]: #264 -#1374 := [unit-resolution #672 #1373 #1030 #1372]: #67 -#1375 := [unit-resolution #485 #1374]: #224 -#1376 := [unit-resolution #616 #1375 #1371]: #26 -#1377 := [unit-resolution #458 #1376]: #219 -#1378 := [unit-resolution #648 #1377 #919 #1362]: #53 -#1379 := [unit-resolution #459 #1376]: #213 -#1380 := [unit-resolution #905 #1379]: #22 -#1381 := [unit-resolution #473 #1380 #1378]: false -#1383 := [lemma #1381]: #1382 -#1417 := [unit-resolution #1383 #1030 #919 #970 #1173 #1172 #881 #1167]: #289 -#1415 := (or #290 #60 #40 #119 #150 #152 #98) -#1395 := (or #107 #40 #98 #119 #60 #290) -#1384 := [unit-resolution #1068 #1045 #970 #919 #1057 #1030]: #32 -#1385 := [unit-resolution #465 #1384]: #228 -#1386 := [unit-resolution #425 #1385]: #44 -#1387 := [unit-resolution #496 #1386]: #272 -#1388 := [unit-resolution #732 #1387 #970]: #112 -#1389 := [unit-resolution #520 #1388]: #297 -#1390 := [unit-resolution #716 #1389 #1044 #1045]: #69 -#1391 := [unit-resolution #497 #1386]: #264 -#1392 := [unit-resolution #521 #1388]: #265 -#1393 := [unit-resolution #672 #1392 #1030 #1391]: #67 -#1394 := [unit-resolution #483 #1393 #1390]: false -#1396 := [lemma #1394]: #1395 -#1397 := [unit-resolution #1396 #1057 #1044 #970 #919 #1030]: #107 +#545 := (iff #155 #544) +#546 := [rewrite]: #545 +#533 := [asserted]: #155 +#547 := [mp #533 #546]: #544 +#1047 := [unit-resolution #547 #1050 #1052 #1051]: #143 #342 := (or #338 #298) -#545 := [asserted]: #342 -#1398 := [unit-resolution #545 #1397]: #338 -#1399 := [unit-resolution #784 #1398 #1173 #1172]: #114 -#1400 := [unit-resolution #523 #1399]: #265 -#1401 := [unit-resolution #519 #1399]: #305 -#1402 := [unit-resolution #732 #1401 #970]: #81 -#1403 := [unit-resolution #495 #1402]: #264 -#1404 := [unit-resolution #672 #1403 #1030 #1400]: #67 -#1405 := [unit-resolution #485 #1404]: #224 -#1406 := [unit-resolution #496 #1402]: #233 -#1407 := [unit-resolution #425 #1406]: #38 -#1408 := [unit-resolution #465 #1407]: #223 -#1409 := [unit-resolution #616 #1408 #1405]: #26 -#1410 := [unit-resolution #458 #1409]: #219 -#1411 := [unit-resolution #648 #1410 #919 #1058]: #53 -#1412 := [unit-resolution #459 #1409]: #213 -#1413 := [unit-resolution #905 #1412]: #22 -#1414 := [unit-resolution #473 #1413 #1411]: false -#1416 := [lemma #1414]: #1415 -#1418 := [unit-resolution #1416 #1030 #919 #970 #1173 #1172 #1417]: #290 -#1419 := [unit-resolution #760 #1418 #881 #1167]: #136 -#1420 := [unit-resolution #544 #1419]: #338 -#1421 := [unit-resolution #784 #1420 #1173 #1172]: #114 -#1422 := [unit-resolution #523 #1421]: #265 -#1423 := [unit-resolution #519 #1421]: #305 -#1424 := [unit-resolution #732 #1423 #970]: #81 -#1425 := [unit-resolution #495 #1424]: #264 -#1426 := [unit-resolution #548 #1419]: #298 -#1427 := [unit-resolution #522 #1421]: #297 -#1428 := [unit-resolution #716 #1427 #1417 #1426]: #69 -#1429 := [unit-resolution #483 #1428]: #256 -#1430 := [unit-resolution #672 #1429 #1425 #1030 #1422]: false -#1432 := [lemma #1430]: #1431 -#1433 := [unit-resolution #1432 #919 #1173 #1172 #881 #1167 #970]: #40 -#1434 := [unit-resolution #464 #1433]: #228 -#1435 := [unit-resolution #425 #1434]: #44 -#1436 := [unit-resolution #496 #1435]: #272 -#1437 := [unit-resolution #732 #1436 #970]: #112 -#1438 := [unit-resolution #519 #1437]: #306 -#1439 := [unit-resolution #784 #1438 #1173 #1172]: #143 -#1440 := [unit-resolution #544 #1439]: #330 -#1441 := [unit-resolution #760 #1440 #881 #1167]: #100 -#1442 := [unit-resolution #511 #1441]: #249 -#1443 := [unit-resolution #466 #1433]: #223 -#1444 := [unit-resolution #545 #1439]: #298 -#1445 := [unit-resolution #520 #1437]: #297 -#1446 := [unit-resolution #507 #1441]: #289 -#1447 := [unit-resolution #716 #1446 #1445 #1444]: #69 -#1448 := [unit-resolution #487 #1447]: #224 -#1449 := [unit-resolution #616 #1448 #1443]: #26 -#1450 := [unit-resolution #458 #1449]: #219 -#1451 := [unit-resolution #648 #1450 #919 #1442]: #53 -#1452 := [unit-resolution #459 #1449]: #213 -#1453 := [unit-resolution #905 #1452]: #22 -#1454 := [unit-resolution #473 #1453 #1451]: false -#1456 := [lemma #1454]: #1455 -#1465 := [unit-resolution #1456 #1172 #1167 #1173 #881 #970]: #60 -#1466 := [unit-resolution #484 #1465]: #256 -#1463 := (or #306 #67 #40 #119) -#1457 := [hypothesis]: #114 -#1458 := [unit-resolution #519 #1457]: #305 -#1459 := [unit-resolution #732 #1458 #970]: #81 -#1460 := [unit-resolution #523 #1457]: #265 -#1461 := [unit-resolution #672 #1460 #1105 #1030]: #74 -#1462 := [unit-resolution #495 #1461 #1459]: false -#1464 := [lemma #1462]: #1463 -#1467 := [unit-resolution #1464 #1030 #1466 #970]: #306 -#1468 := [unit-resolution #784 #1467 #1173 #1172]: #143 -#1469 := [unit-resolution #544 #1468]: #330 -#1470 := [unit-resolution #760 #1469 #881 #1167]: #100 -#1471 := [unit-resolution #1110 #1030 #970 #1466]: #297 -#1472 := [unit-resolution #486 #1465]: #257 -#1473 := [unit-resolution #545 #1468]: #298 -#1474 := [unit-resolution #716 #1473 #1472 #1471]: #98 -#1475 := [unit-resolution #507 #1474 #1470]: false -#1477 := [lemma #1475]: #1476 -#1478 := [unit-resolution #1477 #1172 #1167 #1173 #881 #970]: #40 -#1479 := [unit-resolution #464 #1478]: #228 -#1480 := [unit-resolution #425 #1479]: #44 -#1481 := [unit-resolution #496 #1480]: #272 -#1482 := [unit-resolution #732 #1481 #970]: #112 -#1483 := [unit-resolution #519 #1482]: #306 -#1484 := [unit-resolution #784 #1483 #1173 #1172]: #143 -#1485 := [unit-resolution #544 #1484]: #330 -#1486 := [unit-resolution #760 #1485 #881 #1167]: #100 -#1487 := [unit-resolution #520 #1482]: #297 -#1488 := [unit-resolution #545 #1484]: #298 -#1489 := [unit-resolution #716 #1488 #1472 #1487]: #98 -#1490 := [unit-resolution #507 #1489 #1486]: false -#1492 := [lemma #1490]: #1491 -#1566 := [unit-resolution #1492 #1565 #881 #1564 #1499]: #138 -#1567 := [unit-resolution #571 #1566]: #372 -#1568 := [unit-resolution #569 #1566]: #371 -#1562 := (or #40 #183 #150 #152 #119 #331) -#1505 := [unit-resolution #569 #1154]: #371 -#1531 := (or #60 #119 #40 #150 #152 #183 #331) -#1506 := [unit-resolution #1166 #919 #1154]: #204 -#1507 := [unit-resolution #595 #1506]: #408 -#1508 := [unit-resolution #1339 #1507]: #190 +#692 := [asserted]: #342 +#1048 := [unit-resolution #692 #1047]: #298 +#308 := (or #305 #297) +#667 := [asserted]: #308 +#1045 := [unit-resolution #667 #1049]: #297 +#341 := (or #338 #330) +#691 := [asserted]: #341 +#1046 := [unit-resolution #691 #1047]: #330 +#1096 := [hypothesis]: #331 +#1063 := (or #277 #138 #136 #105 #107) +#1083 := [hypothesis]: #87 +#1084 := [unit-resolution #647 #1083]: #236 +#1081 := [unit-resolution #788 #1084]: #47 +#1082 := [unit-resolution #623 #1081]: #214 +#1079 := [unit-resolution #769 #1082]: #20 +#1080 := [unit-resolution #607 #1079]: #219 +#1077 := [unit-resolution #619 #1081]: #240 +#1078 := [hypothesis]: #298 +#1075 := [hypothesis]: #297 +#1076 := [unit-resolution #621 #1081]: #241 +#1073 := [unit-resolution #645 #1083]: #276 +#1085 := (or #289 #85 #55 #138 #136) +#1093 := [hypothesis]: #98 +#291 := (or #289 #290) +#654 := [asserted]: #291 +#1094 := [unit-resolution #654 #1093]: #290 +#534 := (or #136 #138 #129 #100) +#139 := (or #129 #100) +#140 := (or #138 #139) +#141 := (or #136 #140) +#535 := (iff #141 #534) +#536 := [rewrite]: #535 +#523 := [asserted]: #141 +#537 := [mp #523 #536]: #534 +#1091 := [unit-resolution #537 #1094 #1096 #1095]: #129 +#1092 := [hypothesis]: #241 +#1089 := [hypothesis]: #276 +#292 := (or #289 #281) +#655 := [asserted]: #292 +#1090 := [unit-resolution #655 #1093]: #281 +#1087 := [unit-resolution #502 #1090 #1089 #1092]: #93 +#326 := (or #322 #282) +#680 := [asserted]: #326 +#1088 := [unit-resolution #680 #1087 #1091]: false +#1086 := [lemma #1088]: #1085 +#1074 := [unit-resolution #1086 #1073 #1076 #1096 #1095]: #289 +#509 := (or #105 #107 #98 #69) +#108 := (or #98 #69) +#109 := (or #107 #108) +#110 := (or #105 #109) +#510 := (iff #110 #509) +#511 := [rewrite]: #510 +#498 := [asserted]: #110 +#512 := [mp #498 #511]: #509 +#1071 := [unit-resolution #512 #1074 #1075 #1078]: #69 +#257 := (not #69) +#261 := (or #257 #248) +#633 := [asserted]: #261 +#1072 := [unit-resolution #633 #1071]: #248 +#1069 := [unit-resolution #477 #1072 #1077 #1080]: #62 +#295 := (or #290 #249) +#658 := [asserted]: #295 +#1070 := [unit-resolution #658 #1069]: #290 +#1067 := [unit-resolution #537 #1070 #1096 #1095]: #129 +#1068 := [unit-resolution #659 #1069]: #281 +#1065 := [unit-resolution #502 #1068 #1073 #1076]: #93 +#1066 := [unit-resolution #680 #1065 #1067]: false +#1064 := [lemma #1066]: #1063 +#1043 := [unit-resolution #1064 #1046 #1096 #1045 #1048]: #277 +#1044 := [unit-resolution #527 #1043 #1154]: #123 +#325 := (or #322 #317) +#679 := [asserted]: #325 +#1041 := [unit-resolution #679 #1044]: #322 +#1042 := [unit-resolution #537 #1041 #1096 #1046]: #100 +#1039 := [unit-resolution #654 #1042]: #289 +#1040 := [unit-resolution #512 #1039 #1045 #1048]: #69 +#1037 := [unit-resolution #633 #1040]: #248 +#1038 := [unit-resolution #658 #1042]: #249 +#294 := (or #290 #281) +#657 := [asserted]: #294 +#1035 := [unit-resolution #657 #1042]: #281 +#329 := (or #317 #282) +#683 := [asserted]: #329 +#1036 := [unit-resolution #683 #1044]: #282 +#1053 := (or #235 #62 #60) +#1061 := [hypothesis]: #248 +#1062 := [hypothesis]: #249 +#1059 := [hypothesis]: #47 +#1060 := [unit-resolution #619 #1059]: #240 +#1057 := [unit-resolution #477 #1060 #1062 #1061]: #28 +#1058 := [unit-resolution #623 #1059]: #214 +#1055 := [unit-resolution #769 #1058]: #20 +#1056 := [unit-resolution #607 #1055 #1057]: false +#1054 := [lemma #1056]: #1053 +#1033 := [unit-resolution #1054 #1038 #1037]: #235 +#1034 := [unit-resolution #788 #1033]: #49 +#279 := (or #276 #236) +#646 := [asserted]: #279 +#1031 := [unit-resolution #646 #1034]: #276 +#1032 := [unit-resolution #502 #1031 #1036 #1035]: #55 +#242 := (or #240 #241) +#618 := [asserted]: #242 +#1029 := [unit-resolution #618 #1032]: #240 +#1030 := [unit-resolution #477 #1029 #1038 #1037]: #28 +#246 := (or #241 #214) +#622 := [asserted]: #246 +#1027 := [unit-resolution #622 #1032]: #214 +#1028 := [unit-resolution #769 #1027]: #20 +#1025 := [unit-resolution #607 #1028 #1030]: false +#1023 := [lemma #1025]: #1026 +#1013 := [unit-resolution #1023 #1016 #1019 #1052 #1051]: #305 +#1014 := [unit-resolution #522 #1013 #1153]: #81 +#1097 := (or #272 #125 #76) +#1124 := [hypothesis]: #81 +#1121 := [unit-resolution #643 #1124]: #233 +#1122 := [unit-resolution #452 #1121]: #38 +#1119 := [unit-resolution #612 #1122]: #223 +#273 := (or #272 #264) +#642 := [asserted]: #273 +#1120 := [unit-resolution #642 #1124]: #264 +#1117 := [hypothesis]: #265 +#230 := (or #228 #229) +#611 := [asserted]: #230 +#1118 := [unit-resolution #611 #1122]: #229 +#1115 := [unit-resolution #487 #1118 #1117 #1120]: #67 +#260 := (or #256 #224) +#632 := [asserted]: #260 +#1116 := [unit-resolution #632 #1115]: #224 +#1113 := [unit-resolution #456 #1116 #1119]: #26 +#220 := (or #218 #219) +#605 := [asserted]: #220 +#1114 := [unit-resolution #605 #1113]: #219 +#1111 := [unit-resolution #631 #1115]: #248 +#1112 := [unit-resolution #606 #1113]: #213 +#1109 := [unit-resolution #769 #1112]: #22 +#244 := (or #240 #214) +#620 := [asserted]: #244 +#1110 := [unit-resolution #620 #1109]: #240 +#1107 := [unit-resolution #477 #1110 #1111 #1114]: #62 +#1108 := [unit-resolution #659 #1107]: #281 +#1105 := [unit-resolution #622 #1109]: #241 +#1106 := [unit-resolution #623 #1109]: #235 +#1103 := [unit-resolution #788 #1106]: #49 +#1104 := [unit-resolution #646 #1103]: #276 +#1101 := [unit-resolution #502 #1104 #1105 #1108]: #93 +#1102 := [unit-resolution #647 #1103]: #277 +#1099 := [unit-resolution #527 #1102 #1154]: #123 +#1100 := [unit-resolution #683 #1099 #1101]: false +#1098 := [lemma #1100]: #1097 +#1011 := [unit-resolution #1098 #1014 #1019]: #76 +#311 := (or #306 #265) +#670 := [asserted]: #311 +#1012 := [unit-resolution #670 #1011]: #306 +#1009 := [unit-resolution #547 #1012 #1052 #1051]: #143 +#1010 := [unit-resolution #692 #1009]: #298 +#312 := (or #297 #265) +#671 := [asserted]: #312 +#1007 := [unit-resolution #671 #1011]: #297 +#1008 := [unit-resolution #691 #1009]: #330 +#1005 := [unit-resolution #1064 #1008 #1016 #1007 #1010]: #277 +#1006 := [unit-resolution #527 #1005 #1019]: #123 +#1003 := [unit-resolution #679 #1006]: #322 +#1004 := [unit-resolution #537 #1003 #1016 #1008]: #100 +#1001 := [unit-resolution #654 #1004]: #289 +#1002 := [unit-resolution #512 #1001 #1007 #1010]: #69 +#999 := [unit-resolution #633 #1002]: #248 +#1000 := [unit-resolution #658 #1004]: #249 +#997 := [unit-resolution #643 #1014]: #233 +#998 := [unit-resolution #452 #997]: #38 +#995 := [unit-resolution #612 #998]: #223 +#262 := (or #257 #224) +#634 := [asserted]: #262 +#996 := [unit-resolution #634 #1002]: #224 +#993 := [unit-resolution #456 #996 #995]: #26 +#994 := [unit-resolution #605 #993]: #219 +#991 := [unit-resolution #477 #994 #1000 #999]: #53 +#992 := [unit-resolution #657 #1004]: #281 +#989 := [unit-resolution #683 #1006]: #282 +#990 := [unit-resolution #1054 #999 #1000]: #235 +#987 := [unit-resolution #788 #990]: #49 +#988 := [unit-resolution #646 #987]: #276 +#985 := [unit-resolution #502 #988 #989 #992]: #55 +#986 := [unit-resolution #618 #985 #991]: false +#984 := [lemma #986]: #983 +#1162 := [unit-resolution #984 #1159 #1156 #1161]: #400 +#590 := (or #204 #200 #176) +#205 := (or #200 #176) +#206 := (or #204 #205) +#591 := (iff #206 #590) +#592 := [rewrite]: #591 +#583 := [asserted]: #206 +#593 := [mp #583 #592]: #590 +#1163 := [unit-resolution #593 #1162 #1160]: #204 +#404 := (not #204) +#411 := (or #404 #380) +#744 := [asserted]: #411 +#1164 := [unit-resolution #744 #1163]: #380 +decl f55 :: S1 +#180 := f55 +#181 := (= f55 f1) +#379 := (not #181) #392 := (or #388 #379) -#582 := [asserted]: #392 -#1509 := [unit-resolution #582 #1508]: #379 -#1510 := [unit-resolution #828 #1509 #1505 #882]: #145 -#1511 := [unit-resolution #543 #1510]: #338 -#1512 := [unit-resolution #784 #1511 #1173 #1172]: #114 -#1513 := [unit-resolution #522 #1512]: #297 -#1514 := [unit-resolution #547 #1510]: #298 -#1515 := [unit-resolution #1464 #1512 #1030 #970]: #67 -#1516 := [unit-resolution #483 #1515]: #257 -#1517 := [unit-resolution #716 #1516 #1514 #1513]: #98 -#1518 := [unit-resolution #509 #1517]: #249 -#1519 := [unit-resolution #485 #1515]: #224 -#1520 := [unit-resolution #519 #1512]: #305 -#1521 := [unit-resolution #732 #1520 #970]: #81 -#1522 := [unit-resolution #496 #1521]: #233 -#1523 := [unit-resolution #425 #1522]: #38 -#1524 := [unit-resolution #465 #1523]: #223 -#1525 := [unit-resolution #616 #1524 #1519]: #26 -#1526 := [unit-resolution #458 #1525]: #219 -#1527 := [unit-resolution #648 #1526 #919 #1518]: #53 -#1528 := [unit-resolution #459 #1525]: #213 -#1529 := [unit-resolution #905 #1528]: #22 -#1530 := [unit-resolution #473 #1529 #1527]: false -#1532 := [lemma #1530]: #1531 -#1533 := [unit-resolution #1532 #1030 #970 #1173 #1172 #882 #1154]: #60 -#1534 := [unit-resolution #484 #1533]: #256 -#1535 := [unit-resolution #1464 #1534 #1030 #970]: #306 -#1536 := [unit-resolution #784 #1535 #1173 #1172]: #143 -#1537 := [unit-resolution #543 #1536]: #339 -#1538 := [unit-resolution #828 #1537 #1505 #882]: #181 -#1539 := [unit-resolution #582 #1538]: #388 -#1540 := [unit-resolution #1339 #1539]: #208 -#1541 := [unit-resolution #595 #1540]: #404 -#1542 := [unit-resolution #852 #1541 #1155]: #200 -#1543 := [unit-resolution #590 #1542]: #364 -#1544 := [unit-resolution #589 #1542]: #398 -#1545 := [unit-resolution #450 #1544]: #163 -#1546 := [unit-resolution #558 #1545]: #358 -#1547 := [unit-resolution #804 #1546 #1161 #1543]: #131 -#1548 := [unit-resolution #535 #1547]: #282 -#1549 := [unit-resolution #1110 #1534 #970 #1030]: #297 -#1550 := [unit-resolution #486 #1533]: #257 -#1551 := [unit-resolution #545 #1536]: #298 -#1552 := [unit-resolution #716 #1551 #1550 #1549]: #98 -#1553 := [unit-resolution #508 #1552]: #281 -#1554 := [unit-resolution #560 #1545]: #318 -#1555 := [unit-resolution #534 #1547]: #317 -#1556 := [unit-resolution #736 #1555 #1554]: #87 -#1557 := [unit-resolution #498 #1556]: #276 -#1558 := [unit-resolution #692 #1557 #1553 #1548]: #55 -#1559 := [unit-resolution #500 #1556]: #236 -#1560 := [unit-resolution #916 #1559]: #47 -#1561 := [unit-resolution #474 #1560 #1558]: false -#1563 := [lemma #1561]: #1562 -#1569 := [unit-resolution #1563 #882 #1564 #1565 #1499 #1566]: #40 -#1570 := [unit-resolution #464 #1569]: #228 -#1571 := [unit-resolution #425 #1570]: #44 -#1572 := [unit-resolution #496 #1571]: #272 -#1573 := [unit-resolution #732 #1572 #1499]: #112 -#1574 := [unit-resolution #519 #1573]: #306 -#1575 := [unit-resolution #784 #1574 #1564 #1565]: #143 -#1576 := [unit-resolution #543 #1575]: #339 -#1577 := [unit-resolution #828 #1576 #1568 #882]: #181 -#1578 := [unit-resolution #582 #1577]: #388 -#1579 := [unit-resolution #1339 #1578]: #208 -#1580 := [unit-resolution #595 #1579]: #404 -#1581 := [unit-resolution #852 #1580 #1567]: #200 -#1582 := [unit-resolution #590 #1581]: #364 -#1583 := [unit-resolution #572 #1566]: #363 -#1584 := [unit-resolution #589 #1581]: #398 -#1585 := [unit-resolution #450 #1584]: #163 -#1586 := [unit-resolution #558 #1585]: #358 -#1587 := [unit-resolution #804 #1586 #1583 #1582]: #131 -#1588 := [unit-resolution #535 #1587]: #282 -#1589 := [unit-resolution #520 #1573]: #297 -#1590 := [unit-resolution #545 #1575]: #298 -#1591 := [unit-resolution #1166 #1580 #1566]: #60 -#1592 := [unit-resolution #486 #1591]: #257 -#1593 := [unit-resolution #716 #1592 #1590 #1589]: #98 -#1594 := [unit-resolution #508 #1593]: #281 -#1595 := [unit-resolution #466 #1569]: #223 -#1596 := [unit-resolution #488 #1591]: #224 -#1597 := [unit-resolution #616 #1596 #1595]: #26 -#1598 := [unit-resolution #459 #1597]: #213 -#1599 := [unit-resolution #905 #1598]: #22 -#1600 := [unit-resolution #475 #1599]: #241 -#1601 := [unit-resolution #692 #1600 #1594 #1588]: #85 -#1602 := [unit-resolution #560 #1585]: #318 -#1603 := [unit-resolution #534 #1587]: #317 -#1604 := [unit-resolution #736 #1603 #1602]: #87 -#1605 := [unit-resolution #498 #1604 #1601]: false -#1607 := [lemma #1605]: #1606 -#1608 := [unit-resolution #1607 #881]: #183 -#411 := (or #404 #380) -#597 := [asserted]: #411 -#1609 := [unit-resolution #597 #1608]: #404 +#729 := [asserted]: #392 +#1165 := [unit-resolution #729 #1155]: #379 +decl f53 :: S1 +#173 := f53 +#174 := (= f53 f1) +#371 := (not #174) +#913 := (or #248 #181 #183 #150 #152 #119) +#937 := [hypothesis]: #60 +#938 := [unit-resolution #631 #937]: #256 +#939 := (or #306 #67 #119) +#971 := [hypothesis]: #256 +#950 := [hypothesis]: #114 +#947 := [unit-resolution #670 #950]: #265 +#948 := [unit-resolution #666 #950]: #305 +#945 := [unit-resolution #522 #948 #1153]: #81 +#946 := [unit-resolution #642 #945]: #264 +#943 := [unit-resolution #487 #946 #947 #971]: #40 +#944 := [unit-resolution #643 #945]: #233 +#941 := [unit-resolution #452 #944]: #38 +#942 := [unit-resolution #611 #941 #943]: false +#940 := [lemma #942]: #939 +#935 := [unit-resolution #940 #938 #1153]: #306 +#936 := [unit-resolution #547 #935 #1052 #1051]: #143 +#933 := [unit-resolution #691 #936]: #330 +#934 := [unit-resolution #635 #937]: #224 +#952 := (or #223 #67 #119) +#959 := [hypothesis]: #32 +#960 := [unit-resolution #612 #959]: #228 +#957 := [unit-resolution #452 #960]: #44 +#958 := [unit-resolution #643 #957]: #272 +#955 := [unit-resolution #522 #958 #1153]: #112 +#956 := [unit-resolution #613 #959]: #229 +#953 := [unit-resolution #644 #957]: #264 +#954 := [unit-resolution #487 #953 #956 #971]: #76 +#951 := [unit-resolution #668 #954 #955]: false +#949 := [lemma #951]: #952 +#931 := [unit-resolution #949 #938 #1153]: #223 +#932 := [unit-resolution #456 #931 #934]: #26 +#929 := [unit-resolution #606 #932]: #213 +#930 := [unit-resolution #769 #929]: #22 +#927 := [unit-resolution #622 #930]: #241 +#928 := [unit-resolution #623 #930]: #235 +#925 := [unit-resolution #788 #928]: #49 +#926 := [unit-resolution #646 #925]: #276 +#961 := (or #297 #67 #119) +#972 := [hypothesis]: #105 +#969 := [unit-resolution #671 #972]: #265 +#970 := [unit-resolution #667 #972]: #305 +#967 := [unit-resolution #522 #970 #1153]: #81 +#968 := [unit-resolution #642 #967]: #264 +#965 := [unit-resolution #487 #968 #969 #971]: #40 +#966 := [unit-resolution #643 #967]: #233 +#963 := [unit-resolution #452 #966]: #38 +#964 := [unit-resolution #611 #963 #965]: false +#962 := [lemma #964]: #961 +#923 := [unit-resolution #962 #938 #1153]: #297 +#924 := [unit-resolution #633 #937]: #257 +#921 := [unit-resolution #692 #936]: #298 +#922 := [unit-resolution #512 #921 #924 #923]: #98 +#919 := [hypothesis]: #380 +#920 := [hypothesis]: #379 +#340 := (or #338 #339) +#690 := [asserted]: #340 +#917 := [unit-resolution #690 #936]: #339 +#569 := (or #181 #183 #174 #145) +#184 := (or #174 #145) +#185 := (or #183 #184) +#186 := (or #181 #185) +#570 := (iff #186 #569) +#571 := [rewrite]: #570 +#558 := [asserted]: #186 +#572 := [mp #558 #571]: #569 +#918 := [unit-resolution #572 #917 #920 #919]: #174 +#375 := (or #371 #331) +#716 := [asserted]: #375 +#915 := [unit-resolution #716 #918]: #331 +#916 := [unit-resolution #1086 #915 #922 #926 #927 #933]: false +#914 := [lemma #916]: #913 +#1166 := [unit-resolution #914 #1165 #1164 #1159 #1156 #1161]: #248 +#753 := (or #371 #150 #152 #119 #60) +#793 := [hypothesis]: #174 +#374 := (or #371 #363) +#715 := [asserted]: #374 +#794 := [unit-resolution #715 #793]: #363 +#791 := [unit-resolution #716 #793]: #331 +#802 := (or #236 #119 #150 #152 #138 #60 #167) +#881 := [hypothesis]: #363 +#819 := [hypothesis]: #49 +#820 := [unit-resolution #647 #819]: #277 +#834 := (or #322 #167 #87) +#849 := [hypothesis]: #129 +#324 := (or #322 #323) +#678 := [asserted]: #324 +#850 := [unit-resolution #678 #849]: #323 +#847 := [unit-resolution #679 #849]: #317 +#848 := [unit-resolution #527 #847 #867]: #125 +#361 := (or #358 #318) +#706 := [asserted]: #361 +#845 := [unit-resolution #706 #848]: #358 +#846 := [unit-resolution #562 #845 #881 #850]: #169 +#843 := [unit-resolution #707 #848]: #359 +#844 := [unit-resolution #573 #843]: #197 +#403 := (or #398 #364) +#738 := [asserted]: #403 +#833 := [unit-resolution #738 #844 #846]: false +#831 := [lemma #833]: #834 +#817 := [unit-resolution #831 #820 #881]: #322 +#818 := [unit-resolution #646 #819]: #276 +#851 := (or #282 #167 #87) +#869 := [hypothesis]: #93 +#870 := [unit-resolution #682 #869]: #323 +#868 := [unit-resolution #683 #869]: #317 +#865 := [unit-resolution #527 #868 #867]: #125 +#866 := [unit-resolution #706 #865]: #358 +#863 := [unit-resolution #562 #866 #881 #870]: #169 +#864 := [unit-resolution #707 #865]: #359 +#861 := [unit-resolution #573 #864]: #197 +#862 := [unit-resolution #738 #861 #863]: false +#852 := [lemma #862]: #851 +#815 := [unit-resolution #852 #820 #881]: #282 +#821 := (or #55 #138 #129 #150 #152 #93 #85 #60 #119) +#832 := [hypothesis]: #322 +#829 := [hypothesis]: #282 +#830 := [unit-resolution #502 #1092 #829 #1089]: #91 +#827 := [unit-resolution #657 #830]: #290 +#891 := (or #67 #55 #85 #138 #60 #150 #152 #119) +#911 := [unit-resolution #940 #971 #1153]: #306 +#912 := [unit-resolution #547 #911 #1052 #1051]: #143 +#909 := [unit-resolution #691 #912]: #330 +#910 := [unit-resolution #949 #971 #1153]: #223 +#907 := [unit-resolution #962 #971 #1153]: #297 +#908 := [unit-resolution #692 #912]: #298 +#905 := [unit-resolution #1086 #909 #1096 #1089 #1092]: #289 +#906 := [unit-resolution #512 #905 #908 #907]: #69 +#903 := [unit-resolution #634 #906]: #224 +#904 := [unit-resolution #456 #903 #910]: #26 +#901 := [unit-resolution #605 #904]: #219 +#902 := [unit-resolution #606 #904]: #213 +#899 := [unit-resolution #769 #902]: #22 +#900 := [unit-resolution #620 #899]: #240 +#897 := [unit-resolution #477 #900 #1061 #901]: #62 +#898 := [unit-resolution #658 #897]: #290 +#895 := [unit-resolution #537 #898 #1096 #909]: #129 +#896 := [unit-resolution #659 #897]: #281 +#893 := [unit-resolution #502 #896 #1092 #1089]: #93 +#894 := [unit-resolution #680 #893 #895]: false +#892 := [lemma #894]: #891 +#828 := [unit-resolution #892 #1092 #1089 #1096 #1061 #1052 #1051 #1153]: #67 +#258 := (or #256 #257) +#630 := [asserted]: #258 +#825 := [unit-resolution #630 #828]: #257 +#826 := [unit-resolution #655 #830]: #289 +#973 := (or #330 #69 #98 #150 #152) +#981 := [hypothesis]: #136 +#982 := [unit-resolution #691 #981]: #338 +#979 := [unit-resolution #547 #982 #1052 #1051]: #114 +#977 := [hypothesis]: #257 +#345 := (or #330 #298) +#695 := [asserted]: #345 +#978 := [unit-resolution #695 #981]: #298 +#975 := [unit-resolution #512 #978 #977 #980]: #105 +#310 := (or #306 #297) +#669 := [asserted]: #310 +#976 := [unit-resolution #669 #975 #979]: false +#974 := [lemma #976]: #973 +#823 := [unit-resolution #974 #826 #825 #1052 #1051]: #330 +#824 := [unit-resolution #537 #823 #827 #1096 #832]: false +#822 := [lemma #824]: #821 +#816 := [unit-resolution #822 #817 #1096 #1052 #1051 #815 #818 #1061 #1153]: #55 +#813 := [unit-resolution #618 #816]: #240 +#814 := [unit-resolution #622 #816]: #214 +#811 := [unit-resolution #769 #814]: #20 +#812 := [unit-resolution #607 #811]: #219 +#809 := [unit-resolution #477 #812 #1061 #813]: #62 +#810 := [unit-resolution #658 #809]: #290 +#807 := [unit-resolution #537 #810 #1096 #817]: #136 +#808 := [unit-resolution #691 #807]: #338 +#805 := [unit-resolution #547 #808 #1052 #1051]: #114 +#293 := (or #289 #249) +#656 := [asserted]: #293 +#806 := [unit-resolution #656 #809]: #289 +#803 := [unit-resolution #974 #807 #806 #1052 #1051]: #69 +#804 := [unit-resolution #630 #803]: #256 +#801 := [unit-resolution #940 #804 #805 #1153]: false +#799 := [lemma #801]: #802 +#792 := [unit-resolution #799 #791 #1052 #1051 #1153 #1061 #794]: #236 +#789 := [unit-resolution #788 #792]: #47 +#790 := [unit-resolution #1054 #789 #1061]: #62 +#778 := [unit-resolution #658 #790]: #290 +#779 := [unit-resolution #656 #790]: #289 +#795 := (or #330 #119 #150 #152 #98) +#800 := [unit-resolution #974 #981 #980 #1052 #1051]: #69 +#797 := [unit-resolution #630 #800]: #256 +#798 := [unit-resolution #940 #797 #979 #1153]: false +#796 := [lemma #798]: #795 +#776 := [unit-resolution #796 #779 #1052 #1051 #1153]: #330 +#777 := [unit-resolution #537 #776 #791 #778]: #129 +#774 := [unit-resolution #831 #777 #794]: #87 +#775 := [unit-resolution #659 #790]: #281 +#772 := [unit-resolution #621 #789]: #241 +#773 := [unit-resolution #680 #777]: #282 +#770 := [unit-resolution #502 #773 #772 #775]: #85 +#771 := [unit-resolution #645 #770 #774]: false +#751 := [lemma #771]: #753 +#1167 := [unit-resolution #751 #1159 #1156 #1161 #1166]: #371 +#1168 := [unit-resolution #572 #1167 #1165 #1164]: #145 +#1169 := [unit-resolution #690 #1168]: #338 +#1170 := [unit-resolution #547 #1169 #1159 #1156]: #114 +#1171 := [unit-resolution #669 #1170]: #297 +#344 := (or #339 #298) +#694 := [asserted]: #344 +#1172 := [unit-resolution #694 #1168]: #298 +#1173 := [unit-resolution #940 #1170 #1161]: #67 +#1174 := [unit-resolution #630 #1173]: #257 +#1175 := [unit-resolution #512 #1174 #1172 #1171]: #98 +#1176 := [unit-resolution #656 #1175]: #249 +#1177 := [unit-resolution #632 #1173]: #224 +#1178 := [unit-resolution #666 #1170]: #305 +#1179 := [unit-resolution #522 #1178 #1161]: #81 +#1180 := [unit-resolution #643 #1179]: #233 +#1181 := [unit-resolution #452 #1180]: #38 +#1182 := [unit-resolution #612 #1181]: #223 +#1183 := [unit-resolution #456 #1182 #1177]: #26 +#1184 := [unit-resolution #605 #1183]: #219 +#1185 := [unit-resolution #477 #1184 #1166 #1176]: #53 +#1186 := [unit-resolution #606 #1183]: #213 +#1187 := [unit-resolution #769 #1186]: #22 +#1188 := [unit-resolution #620 #1187 #1185]: false +#1190 := [lemma #1188]: #1189 +#1365 := [unit-resolution #1190 #1160]: #388 +#211 := (or #208 #190) +decl f5 :: S1 +#13 := f5 +#14 := (= f5 f1) +#600 := (or #14 #208 #190) +#858 := (iff #600 #211) +#853 := (or false #208 #190) +#856 := (iff #853 #211) +#857 := [rewrite]: #856 +#854 := (iff #600 #853) +#757 := (iff #14 false) +#15 := (not #14) +#438 := [asserted]: #15 +#758 := [iff-false #438]: #757 +#855 := [monotonicity #758]: #854 +#859 := [trans #855 #857]: #858 +#212 := (or #14 #211) +#601 := (iff #212 #600) +#602 := [rewrite]: #601 +#589 := [asserted]: #212 +#603 := [mp #589 #602]: #600 +#860 := [mp #603 #859]: #211 +#1366 := [unit-resolution #860 #1365]: #208 +#408 := (not #208) #410 := (or #408 #380) -#596 := [asserted]: #410 -#1610 := [unit-resolution #596 #1608]: #408 -#1611 := [unit-resolution #1339 #1610]: #190 -#1612 := [unit-resolution #579 #1611]: #387 -#1613 := [unit-resolution #1497 #1612]: #157 -#1614 := [unit-resolution #556 #1613]: #313 -#1615 := [unit-resolution #583 #1611]: #347 -#1616 := [unit-resolution #555 #1613]: #346 -#1617 := [unit-resolution #1492 #1616 #881 #1615 #1614]: #138 -#1618 := [unit-resolution #571 #1617]: #372 -#1619 := [unit-resolution #852 #1618 #1609]: #200 -#1620 := [unit-resolution #590 #1619]: #364 -#1621 := [unit-resolution #572 #1617]: #363 -#1622 := [unit-resolution #589 #1619]: #398 -#1623 := [unit-resolution #450 #1622]: #163 -#1624 := [unit-resolution #558 #1623]: #358 -#1625 := [unit-resolution #804 #1624 #1621 #1620]: #131 -#1626 := [unit-resolution #535 #1625]: #282 -#1627 := [unit-resolution #560 #1623]: #318 -#1628 := [unit-resolution #534 #1625]: #317 -#1629 := [unit-resolution #736 #1628 #1627]: #87 -#1630 := [unit-resolution #498 #1629]: #276 -#1631 := [unit-resolution #500 #1629]: #236 -#1632 := [unit-resolution #916 #1631]: #47 -#1633 := [unit-resolution #474 #1632]: #241 -#1634 := [unit-resolution #692 #1633 #1630 #1626]: #91 -#1635 := [unit-resolution #508 #1634]: #289 -#1636 := [unit-resolution #1166 #1617 #1609]: #60 -#1637 := [unit-resolution #486 #1636]: #257 -#1638 := [unit-resolution #484 #1636]: #256 -#1639 := [unit-resolution #488 #1636]: #224 -#1640 := [unit-resolution #476 #1632]: #214 -#1641 := [unit-resolution #905 #1640]: #20 -#1642 := [unit-resolution #459 #1641]: #218 -#1643 := [unit-resolution #616 #1642 #1639]: #32 -#1644 := [unit-resolution #466 #1643]: #229 -#1645 := [unit-resolution #1110 #1644 #1614 #1638]: #297 -#1646 := [unit-resolution #716 #1645 #1637 #1635]: #107 -#1647 := [unit-resolution #1464 #1644 #1638 #1614]: #306 -#1648 := [unit-resolution #784 #1647 #1616 #1615]: #143 -#1649 := [unit-resolution #545 #1648 #1646]: false -#1650 := [lemma #1649]: #129 -#326 := (or #322 #282) -#533 := [asserted]: #326 -#1662 := [unit-resolution #533 #1650]: #282 -#1664 := [unit-resolution #692 #1662]: #1663 -#1665 := [unit-resolution #1664 #1661 #1658 #1654]: false -#1667 := [lemma #1665]: #1666 -#1725 := [unit-resolution #1667 #919]: #218 -#1689 := (or #306 #26 #119 #40) -#1668 := [hypothesis]: #218 -#1683 := [unit-resolution #1464 #1457 #1030 #970]: #67 -#1684 := [unit-resolution #485 #1683]: #224 -#1685 := [unit-resolution #616 #1684 #1668]: #32 -#1686 := [unit-resolution #496 #1459]: #233 -#1687 := [unit-resolution #425 #1686]: #38 -#1688 := [unit-resolution #465 #1687 #1685]: false -#1690 := [lemma #1688]: #1689 -#1726 := [unit-resolution #1690 #1725 #970 #1030]: #306 -#1715 := (or #298 #114) -#1700 := [hypothesis]: #107 -#1701 := [unit-resolution #545 #1700]: #338 -#1702 := [hypothesis]: #306 -#1703 := [unit-resolution #547 #1700]: #339 -#1698 := (or #387 #145) -#1691 := [hypothesis]: #339 -#1692 := [unit-resolution #596 #1340]: #380 -#1694 := (or #371 #204) -#324 := (or #322 #323) -#531 := [asserted]: #324 -#1693 := [unit-resolution #531 #1650]: #323 -#1695 := [unit-resolution #1021 #1693]: #1694 -#1696 := [unit-resolution #1695 #1341]: #371 -#1697 := [unit-resolution #828 #1696 #1692 #1691 #1342]: false -#1699 := [lemma #1697]: #1698 -#1704 := [unit-resolution #1699 #1703]: #387 -#1705 := [unit-resolution #1497 #1704]: #157 -#1706 := [unit-resolution #555 #1705]: #346 -#1707 := [unit-resolution #784 #1706 #1702 #1701]: #152 -#1708 := [unit-resolution #584 #1707]: #379 -#1709 := [unit-resolution #583 #1707]: #388 -#1710 := [unit-resolution #1339 #1709]: #208 -#1711 := [unit-resolution #596 #1710]: #380 -#1712 := [unit-resolution #595 #1710]: #404 -#1713 := [unit-resolution #1695 #1712]: #371 -#1714 := [unit-resolution #828 #1713 #1711 #1703 #1708]: false -#1716 := [lemma #1714]: #1715 -#1727 := [unit-resolution #1716 #1726]: #298 -#1681 := (or #107 #40 #98 #119 #26) -#1669 := [unit-resolution #1056 #1045 #970 #1030 #1044]: #224 -#1670 := [unit-resolution #616 #1669 #1668]: #32 -#1671 := [unit-resolution #465 #1670]: #228 -#1672 := [unit-resolution #425 #1671]: #44 -#1673 := [unit-resolution #496 #1672]: #272 -#1674 := [unit-resolution #732 #1673 #970]: #112 -#1675 := [unit-resolution #520 #1674]: #297 -#1676 := [unit-resolution #716 #1675 #1045 #1044]: #69 -#1677 := [unit-resolution #497 #1672]: #264 -#1678 := [unit-resolution #521 #1674]: #265 -#1679 := [unit-resolution #672 #1678 #1030 #1677]: #67 -#1680 := [unit-resolution #483 #1679 #1676]: false -#1682 := [lemma #1680]: #1681 -#1728 := [unit-resolution #1682 #1727 #1030 #970 #1725]: #98 -#1729 := [unit-resolution #508 #1728]: #281 -#1730 := [unit-resolution #509 #1728]: #249 -#1723 := (or #240 #91) -#1717 := [hypothesis]: #53 -#242 := (or #240 #241) -#471 := [asserted]: #242 -#1718 := [unit-resolution #471 #1717]: #241 -#1719 := [unit-resolution #1664 #1718 #1236]: #85 -#1720 := [unit-resolution #472 #1717]: #235 -#1721 := [unit-resolution #916 #1720]: #49 -#1722 := [unit-resolution #499 #1721 #1719]: false -#1724 := [lemma #1722]: #1723 -#1731 := [unit-resolution #1724 #1729]: #240 -#1732 := [unit-resolution #648 #1731 #919 #1730]: #28 -#1733 := [unit-resolution #460 #1732]: #213 -#1734 := [unit-resolution #905 #1733]: #22 -#1735 := [unit-resolution #475 #1734]: #241 -#1736 := [unit-resolution #1664 #1735 #1729]: #85 -#1737 := [unit-resolution #476 #1734]: #235 -#1738 := [unit-resolution #916 #1737]: #49 -#1739 := [unit-resolution #499 #1738 #1736]: false -#1741 := [lemma #1739]: #1740 -#1742 := [unit-resolution #1741 #970 #1030]: #60 -#1743 := [unit-resolution #484 #1742]: #256 -#1748 := [unit-resolution #1110 #1743 #1030 #970]: #297 -#1749 := [unit-resolution #486 #1742]: #257 -#1750 := [unit-resolution #1464 #1743 #1030 #970]: #306 -#1751 := [unit-resolution #1716 #1750]: #298 -#1752 := [unit-resolution #716 #1751 #1749 #1748]: #98 -#1753 := [unit-resolution #508 #1752]: #281 -#1754 := [unit-resolution #488 #1742]: #224 -#1746 := (or #233 #40 #119) -#1744 := [unit-resolution #672 #976 #1030 #1743]: #76 -#1745 := [unit-resolution #521 #1744 #973]: false -#1747 := [lemma #1745]: #1746 -#1755 := [unit-resolution #1747 #970 #1030]: #233 -#1756 := [unit-resolution #425 #1755]: #38 -#1757 := [unit-resolution #465 #1756]: #223 -#1758 := [unit-resolution #616 #1757 #1754]: #26 -#1759 := [unit-resolution #459 #1758]: #213 -#1760 := [unit-resolution #905 #1759]: #22 -#1761 := [unit-resolution #475 #1760]: #241 -#1762 := [unit-resolution #1664 #1761 #1753]: #85 -#1763 := [unit-resolution #476 #1760]: #235 -#1764 := [unit-resolution #916 #1763]: #49 -#1765 := [unit-resolution #499 #1764 #1762]: false -#1767 := [lemma #1765]: #1766 -#1768 := [unit-resolution #1767 #1030]: #119 -#1769 := [unit-resolution #556 #1768]: #354 -#1770 := [unit-resolution #1497 #1769]: #188 -#1771 := [unit-resolution #581 #1770]: #347 -#1772 := [unit-resolution #557 #1768]: #346 -#1773 := [unit-resolution #1699 #1770]: #145 -#1774 := [unit-resolution #543 #1773]: #338 -#1775 := [unit-resolution #784 #1774 #1772 #1771]: #114 -#1787 := [unit-resolution #522 #1775]: #297 -#1788 := [unit-resolution #547 #1773]: #298 -#1802 := (or #60 #40) -#1785 := (or #257 #26 #40) -#1776 := [unit-resolution #523 #1775]: #265 -#1777 := [hypothesis]: #69 -#1778 := [unit-resolution #483 #1777]: #256 -#1779 := [unit-resolution #672 #1778 #1030 #1776]: #74 -#1780 := [unit-resolution #497 #1779]: #233 -#1781 := [unit-resolution #487 #1777]: #224 -#1782 := [unit-resolution #616 #1781 #1668]: #32 -#1783 := [unit-resolution #465 #1782]: #228 -#1784 := [unit-resolution #425 #1783 #1780]: false -#1786 := [lemma #1784]: #1785 -#1789 := [unit-resolution #1786 #1725 #1030]: #257 -#1790 := [unit-resolution #716 #1789 #1788 #1787]: #98 -#1791 := [unit-resolution #508 #1790]: #281 -#1792 := [unit-resolution #509 #1790]: #249 -#1793 := [unit-resolution #1724 #1791]: #240 -#1794 := [unit-resolution #648 #1793 #919 #1792]: #28 -#1795 := [unit-resolution #460 #1794]: #213 -#1796 := [unit-resolution #905 #1795]: #22 -#1797 := [unit-resolution #475 #1796]: #241 -#1798 := [unit-resolution #1664 #1797 #1791]: #85 -#1799 := [unit-resolution #476 #1796]: #235 -#1800 := [unit-resolution #916 #1799]: #49 -#1801 := [unit-resolution #499 #1800 #1798]: false -#1803 := [lemma #1801]: #1802 -#1804 := [unit-resolution #1803 #1030]: #60 -#1805 := [unit-resolution #486 #1804]: #257 -#1806 := [unit-resolution #716 #1805 #1788 #1787]: #98 -#1807 := [unit-resolution #508 #1806]: #281 -#1808 := [unit-resolution #488 #1804]: #224 -#1809 := [unit-resolution #484 #1804]: #256 -#1810 := [unit-resolution #672 #1809 #1030 #1776]: #74 -#1811 := [unit-resolution #497 #1810]: #233 -#1812 := [unit-resolution #425 #1811]: #38 -#1813 := [unit-resolution #465 #1812]: #223 -#1814 := [unit-resolution #616 #1813 #1808]: #26 -#1815 := [unit-resolution #459 #1814]: #213 -#1816 := [unit-resolution #905 #1815]: #22 -#1817 := [unit-resolution #475 #1816]: #241 -#1818 := [unit-resolution #1664 #1817 #1807]: #85 -#1819 := [unit-resolution #476 #1816]: #235 -#1820 := [unit-resolution #916 #1819]: #49 -#1821 := [unit-resolution #499 #1820 #1818]: false -#1822 := [lemma #1821]: #40 -#1855 := [unit-resolution #464 #1822]: #228 -#1856 := [unit-resolution #425 #1855]: #44 -#1857 := [unit-resolution #496 #1856]: #272 -#1858 := [unit-resolution #732 #1103 #1857]: #119 -#1859 := [unit-resolution #556 #1858]: #354 -#1860 := [unit-resolution #1497 #1859]: #188 -#1861 := [unit-resolution #1699 #1860]: #145 -#1862 := [unit-resolution #557 #1858]: #346 -#1863 := [unit-resolution #522 #1102]: #306 -#1864 := [unit-resolution #581 #1860]: #347 -#1865 := [unit-resolution #784 #1864 #1863 #1862]: #143 -#1866 := [unit-resolution #543 #1865 #1861]: false -#1867 := [lemma #1866]: #297 -#1853 := (or #105 #107) -#1838 := (or #60 #107 #105) -#1823 := [unit-resolution #466 #1822]: #223 -#1824 := [unit-resolution #616 #1725 #1823]: #34 -#1825 := [unit-resolution #487 #1824]: #257 -#1826 := [unit-resolution #716 #1825 #1045 #890]: #98 -#1827 := [unit-resolution #508 #1826]: #281 -#1828 := [unit-resolution #509 #1826]: #249 -#1829 := [unit-resolution #1724 #1827]: #240 -#1830 := [unit-resolution #648 #1829 #919 #1828]: #28 -#1831 := [unit-resolution #460 #1830]: #213 -#1832 := [unit-resolution #905 #1831]: #22 -#1833 := [unit-resolution #475 #1832]: #241 -#1834 := [unit-resolution #1664 #1833 #1827]: #85 -#1835 := [unit-resolution #476 #1832]: #235 -#1836 := [unit-resolution #916 #1835]: #49 -#1837 := [unit-resolution #499 #1836 #1834]: false -#1839 := [lemma #1837]: #1838 -#1840 := [unit-resolution #1839 #890 #1045]: #60 -#1841 := [unit-resolution #486 #1840]: #257 -#1842 := [unit-resolution #716 #1841 #1045 #890]: #98 -#1843 := [unit-resolution #508 #1842]: #281 -#1844 := [unit-resolution #488 #1840]: #224 -#1845 := [unit-resolution #616 #1844 #1823]: #26 -#1846 := [unit-resolution #459 #1845]: #213 -#1847 := [unit-resolution #905 #1846]: #22 -#1848 := [unit-resolution #475 #1847]: #241 -#1849 := [unit-resolution #1664 #1848 #1843]: #85 -#1850 := [unit-resolution #476 #1847]: #235 -#1851 := [unit-resolution #916 #1850]: #49 -#1852 := [unit-resolution #499 #1851 #1849]: false -#1854 := [lemma #1852]: #1853 -#1868 := [unit-resolution #1854 #1867]: #107 -#1869 := [unit-resolution #547 #1868]: #339 -#1870 := [unit-resolution #1699 #1869]: #387 -#1871 := [unit-resolution #1497 #1870]: #157 -#1872 := [unit-resolution #1716 #1868]: #114 -#1873 := [unit-resolution #519 #1872]: #305 -#1874 := [unit-resolution #732 #1873 #1857]: #119 -[unit-resolution #556 #1874 #1871]: false -4981f4ce905ff5bd45aa1d26b0e079fee17e6b28 67 0 +#743 := [asserted]: #410 +#1367 := [unit-resolution #743 #1366]: #380 +#409 := (or #408 #404) +#742 := [asserted]: #409 +#1368 := [unit-resolution #742 #1366]: #404 +#1369 := [unit-resolution #593 #1368 #1160]: #200 +#1239 := (or #119 #183 #400) +#1224 := [unit-resolution #1123 #1153 #1019]: #323 +#1225 := [unit-resolution #562 #1224 #1017 #1020]: #167 +#1226 := [unit-resolution #715 #1225]: #371 +#1222 := (or #379 #400 #119) +#1216 := [hypothesis]: #181 +#390 := (or #387 #379) +#727 := [asserted]: #390 +#1217 := [unit-resolution #727 #1216]: #387 +#1218 := [unit-resolution #842 #1217]: #157 +#394 := (or #379 #347) +#731 := [asserted]: #394 +#1219 := [unit-resolution #731 #1216]: #347 +#1220 := [unit-resolution #984 #1219 #1024 #1153]: #150 +#1221 := [unit-resolution #702 #1220 #1218]: false +#1223 := [lemma #1221]: #1222 +#1227 := [unit-resolution #1223 #1153 #1024]: #379 +#1228 := [unit-resolution #572 #1227 #1226 #919]: #145 +#1229 := [unit-resolution #694 #1228]: #298 +#1192 := (or #297 #125 #119) +#1191 := [unit-resolution #1098 #967 #969 #1154]: false +#1193 := [lemma #1191]: #1192 +#1230 := [unit-resolution #1193 #1153 #1019]: #297 +#1231 := [unit-resolution #719 #1225]: #331 +#343 := (or #339 #330) +#693 := [asserted]: #343 +#1232 := [unit-resolution #693 #1228]: #330 +#1233 := [unit-resolution #1064 #1232 #1231 #1230 #1229]: #277 +#1234 := [unit-resolution #527 #1233 #1019]: #123 +#1214 := (or #339 #138 #119 #125 #98) +#1194 := [hypothesis]: #145 +#1195 := [unit-resolution #693 #1194]: #330 +#1196 := [unit-resolution #694 #1194]: #298 +#1197 := [unit-resolution #1193 #1153 #1154]: #297 +#1198 := [unit-resolution #1064 #1195 #1096 #1197 #1196]: #277 +#1199 := [unit-resolution #527 #1198 #1154]: #123 +#1200 := [unit-resolution #679 #1199]: #322 +#1201 := [unit-resolution #537 #1200 #1096 #1195]: #100 +#1202 := [unit-resolution #658 #1201]: #249 +#1203 := [unit-resolution #512 #1196 #1197 #980]: #69 +#1204 := [unit-resolution #633 #1203]: #248 +#1205 := [unit-resolution #634 #1203]: #224 +#1206 := [unit-resolution #630 #1203]: #256 +#1207 := [unit-resolution #949 #1206 #1153]: #223 +#1208 := [unit-resolution #456 #1207 #1205]: #26 +#1209 := [unit-resolution #605 #1208]: #219 +#1210 := [unit-resolution #477 #1209 #1204 #1202]: #53 +#1211 := [unit-resolution #606 #1208]: #213 +#1212 := [unit-resolution #769 #1211]: #22 +#1213 := [unit-resolution #620 #1212 #1210]: false +#1215 := [lemma #1213]: #1214 +#1235 := [unit-resolution #1215 #1228 #1153 #1019 #1231]: #98 +#1236 := [unit-resolution #654 #1235]: #290 +#1237 := [unit-resolution #537 #1236 #1231 #1232]: #129 +#1238 := [unit-resolution #679 #1237 #1234]: false +#1240 := [lemma #1238]: #1239 +#1370 := [unit-resolution #1240 #1367 #1369]: #119 +#1371 := [unit-resolution #703 #1370]: #354 +#1372 := [unit-resolution #842 #1371]: #188 +#1373 := [unit-resolution #727 #1372]: #379 +#1374 := [unit-resolution #737 #1369]: #364 +#1375 := [unit-resolution #736 #1369]: #398 +#1376 := [unit-resolution #573 #1375]: #163 +#1377 := [unit-resolution #705 #1376]: #358 +#1378 := [unit-resolution #707 #1376]: #318 +#391 := (or #387 #347) +#728 := [asserted]: #391 +#1379 := [unit-resolution #728 #1372]: #347 +#357 := (or #346 #313) +#704 := [asserted]: #357 +#1380 := [unit-resolution #704 #1370]: #346 +#1351 := (or #98 #125 #161 #169 #181 #183 #150 #152) +#1258 := [hypothesis]: #364 +#1259 := [hypothesis]: #358 +#1332 := (or #136 #150 #152 #181 #183 #125 #161 #169 #98) +#1317 := (or #129 #125 #136 #161 #169 #181 #183 #150 #152 #98) +#1297 := (or #105 #125 #98 #161 #169 #181 #183 #129 #136) +#1276 := (or #290 #125 #161 #169 #181 #183 #98 #105) +#1256 := [hypothesis]: #100 +#1257 := [unit-resolution #657 #1256]: #281 +#1260 := [unit-resolution #658 #1256]: #249 +#1254 := (or #60 #62 #91 #125) +#1241 := [hypothesis]: #281 +#1242 := [unit-resolution #1054 #1061 #1062]: #235 +#1243 := [unit-resolution #788 #1242]: #49 +#1244 := [unit-resolution #646 #1243]: #276 +#1245 := [unit-resolution #647 #1243]: #277 +#1246 := [unit-resolution #527 #1245 #1154]: #123 +#1247 := [unit-resolution #683 #1246]: #282 +#1248 := [unit-resolution #502 #1247 #1244 #1241]: #55 +#1249 := [unit-resolution #618 #1248]: #240 +#1250 := [unit-resolution #477 #1249 #1061 #1062]: #28 +#1251 := [unit-resolution #622 #1248]: #214 +#1252 := [unit-resolution #769 #1251]: #20 +#1253 := [unit-resolution #607 #1252 #1250]: false +#1255 := [lemma #1253]: #1254 +#1261 := [unit-resolution #1255 #1260 #1257 #1154]: #60 +#1262 := [unit-resolution #633 #1261]: #257 +#1263 := [unit-resolution #512 #1262 #980 #1075]: #107 +#1264 := [unit-resolution #694 #1263]: #339 +#1265 := [unit-resolution #572 #1264 #920 #919]: #174 +#1266 := [unit-resolution #715 #1265]: #363 +#1267 := [unit-resolution #562 #1266 #1259 #1258]: #131 +#1268 := [unit-resolution #682 #1267]: #282 +#1269 := [unit-resolution #681 #1267]: #317 +#1270 := [unit-resolution #527 #1269 #1154]: #87 +#1271 := [unit-resolution #645 #1270]: #276 +#1272 := [unit-resolution #502 #1271 #1268 #1257]: #55 +#1273 := [unit-resolution #647 #1270]: #236 +#1274 := [unit-resolution #788 #1273]: #47 +#1275 := [unit-resolution #621 #1274 #1272]: false +#1277 := [lemma #1275]: #1276 +#1278 := [unit-resolution #1277 #1075 #1259 #1258 #920 #919 #980 #1154]: #290 +#1279 := [unit-resolution #537 #1278 #832 #1095]: #138 +#1280 := [unit-resolution #716 #1279]: #371 +#1281 := [unit-resolution #572 #1280 #920 #919]: #145 +#1282 := [unit-resolution #694 #1281]: #298 +#1283 := [unit-resolution #512 #1282 #980 #1075]: #69 +#1284 := [unit-resolution #633 #1283]: #248 +#1285 := [unit-resolution #719 #1279]: #363 +#1286 := [unit-resolution #562 #1285 #1259 #1258]: #131 +#1287 := [unit-resolution #681 #1286]: #317 +#1288 := [unit-resolution #527 #1287 #1154]: #87 +#1289 := [unit-resolution #647 #1288]: #236 +#1290 := [unit-resolution #788 #1289]: #47 +#1291 := [unit-resolution #1054 #1290 #1284]: #62 +#1292 := [unit-resolution #645 #1288]: #276 +#1293 := [unit-resolution #682 #1286]: #282 +#1294 := [unit-resolution #621 #1290]: #241 +#1295 := [unit-resolution #502 #1294 #1293 #1292]: #91 +#1296 := [unit-resolution #659 #1295 #1291]: false +#1298 := [lemma #1296]: #1297 +#1299 := [unit-resolution #1298 #832 #980 #1259 #1258 #920 #919 #1154 #1095]: #105 +#1300 := [unit-resolution #669 #1299]: #306 +#1301 := [unit-resolution #547 #1300 #1052 #1051]: #143 +#1302 := [unit-resolution #690 #1301]: #339 +#1303 := [unit-resolution #572 #1302 #920 #919]: #174 +#1304 := [unit-resolution #716 #1303]: #331 +#1305 := [unit-resolution #537 #1304 #832 #1095]: #100 +#1306 := [unit-resolution #657 #1305]: #281 +#1307 := [unit-resolution #715 #1303]: #363 +#1308 := [unit-resolution #562 #1307 #1259 #1258]: #131 +#1309 := [unit-resolution #682 #1308]: #282 +#1310 := [unit-resolution #681 #1308]: #317 +#1311 := [unit-resolution #527 #1310 #1154]: #87 +#1312 := [unit-resolution #645 #1311]: #276 +#1313 := [unit-resolution #502 #1312 #1309 #1306]: #55 +#1314 := [unit-resolution #647 #1311]: #236 +#1315 := [unit-resolution #788 #1314]: #47 +#1316 := [unit-resolution #621 #1315 #1313]: false +#1318 := [lemma #1316]: #1317 +#1319 := [unit-resolution #1318 #1095 #1154 #1259 #1258 #920 #919 #1052 #1051 #980]: #129 +#1320 := [unit-resolution #678 #1319]: #323 +#1321 := [unit-resolution #562 #1320 #1259 #1258]: #167 +#1322 := [unit-resolution #715 #1321]: #371 +#1323 := [unit-resolution #572 #1322 #920 #919]: #145 +#1324 := [unit-resolution #690 #1323]: #338 +#1325 := [unit-resolution #547 #1324 #1052 #1051]: #114 +#1326 := [unit-resolution #679 #1319]: #317 +#1327 := [unit-resolution #527 #1326 #1154]: #87 +#335 := (or #331 #322) +#687 := [asserted]: #335 +#1328 := [unit-resolution #687 #1319]: #331 +#1329 := [unit-resolution #694 #1323]: #298 +#1330 := [unit-resolution #1064 #1329 #1095 #1328 #1327]: #105 +#1331 := [unit-resolution #669 #1330 #1325]: false +#1333 := [lemma #1331]: #1332 +#1334 := [unit-resolution #1333 #980 #1051 #920 #919 #1154 #1259 #1258 #1052]: #136 +#1335 := [unit-resolution #974 #1334 #980 #1052 #1051]: #69 +#1336 := [unit-resolution #633 #1335]: #248 +#1337 := [unit-resolution #693 #1334]: #339 +#1338 := [unit-resolution #572 #1337 #920 #919]: #174 +#1339 := [unit-resolution #715 #1338]: #363 +#1340 := [unit-resolution #562 #1339 #1259 #1258]: #131 +#1341 := [unit-resolution #681 #1340]: #317 +#1342 := [unit-resolution #527 #1341 #1154]: #87 +#1343 := [unit-resolution #647 #1342]: #236 +#1344 := [unit-resolution #788 #1343]: #47 +#1345 := [unit-resolution #1054 #1344 #1336]: #62 +#1346 := [unit-resolution #645 #1342]: #276 +#1347 := [unit-resolution #682 #1340]: #282 +#1348 := [unit-resolution #621 #1344]: #241 +#1349 := [unit-resolution #502 #1348 #1347 #1346]: #91 +#1350 := [unit-resolution #659 #1349 #1345]: false +#1352 := [lemma #1350]: #1351 +#1381 := [unit-resolution #1352 #1378 #1377 #1374 #1373 #1367 #1380 #1379]: #98 +#1382 := [unit-resolution #654 #1381]: #290 +#1363 := (or #317 #100 #181 #183 #161 #169) +#1353 := [hypothesis]: #123 +#1354 := [unit-resolution #681 #1353]: #323 +#1355 := [unit-resolution #562 #1354 #1259 #1258]: #167 +#1356 := [unit-resolution #715 #1355]: #371 +#1357 := [unit-resolution #572 #1356 #920 #919]: #145 +#1358 := [unit-resolution #679 #1353]: #322 +#1359 := [hypothesis]: #290 +#1360 := [unit-resolution #719 #1355]: #331 +#1361 := [unit-resolution #537 #1360 #1359 #1358]: #136 +#1362 := [unit-resolution #693 #1361 #1357]: false +#1364 := [lemma #1362]: #1363 +#1383 := [unit-resolution #1364 #1382 #1373 #1367 #1377 #1374]: #317 +#1384 := [unit-resolution #527 #1383 #1378]: #87 +#1385 := [unit-resolution #645 #1384]: #276 +#1386 := [unit-resolution #655 #1381]: #281 +#1387 := [unit-resolution #647 #1384]: #236 +#1388 := [unit-resolution #788 #1387]: #47 +#1389 := [unit-resolution #621 #1388]: #241 +#1390 := [unit-resolution #502 #1389 #1386 #1385]: #93 +#1391 := [unit-resolution #682 #1390]: #323 +#1392 := [unit-resolution #562 #1391 #1377 #1374]: #167 +#1393 := [unit-resolution #715 #1392]: #371 +#1394 := [unit-resolution #572 #1393 #1373 #1367]: #145 +#1395 := [unit-resolution #680 #1390]: #322 +#1396 := [unit-resolution #719 #1392]: #331 +#1397 := [unit-resolution #537 #1396 #1382 #1395]: #136 +#1398 := [unit-resolution #693 #1397 #1394]: false +#1399 := [lemma #1398]: #176 +#376 := (or #372 #363) +#717 := [asserted]: #376 +#1426 := [unit-resolution #717 #1399]: #363 +#1428 := [unit-resolution #831 #1426]: #1427 +#1429 := [unit-resolution #1428 #867]: #322 +#1431 := (or #136 #129 #100) +#377 := (or #372 #331) +#718 := [asserted]: #377 +#1430 := [unit-resolution #718 #1399]: #331 +#1432 := [unit-resolution #537 #1430]: #1431 +#1433 := [unit-resolution #1432 #1429 #1095]: #100 +#1434 := [unit-resolution #657 #1433]: #281 +#1435 := (or #282 #87) +#1436 := [unit-resolution #852 #1426]: #1435 +#1437 := [unit-resolution #1436 #867]: #282 +#1419 := (or #214 #93 #91) +#1413 := [hypothesis]: #22 +#1414 := [unit-resolution #622 #1413]: #241 +#1415 := [unit-resolution #502 #1414 #829 #1241]: #85 +#1416 := [unit-resolution #623 #1413]: #235 +#1417 := [unit-resolution #788 #1416]: #49 +#1418 := [unit-resolution #646 #1417 #1415]: false +#1420 := [lemma #1418]: #1419 +#1438 := [unit-resolution #1420 #1437 #1434]: #214 +#1439 := [unit-resolution #769 #1438]: #20 +#1440 := [unit-resolution #607 #1439]: #219 +#1441 := [unit-resolution #658 #1433]: #249 +#1442 := [unit-resolution #606 #1439]: #218 +#1424 := (or #248 #26 #98) +#1421 := [hypothesis]: #218 +#1411 := (or #223 #98 #69 #67) +#1400 := [unit-resolution #949 #959 #971]: #119 +#1401 := [unit-resolution #703 #1400]: #354 +#1402 := [unit-resolution #842 #1401]: #188 +#1403 := [unit-resolution #728 #1402]: #347 +#1404 := [unit-resolution #704 #1400]: #346 +#1405 := [unit-resolution #487 #953 #971 #956]: #76 +#1406 := [unit-resolution #670 #1405]: #306 +#1407 := [unit-resolution #547 #1406 #1404 #1403]: #143 +#1408 := [unit-resolution #671 #1405]: #297 +#1409 := [unit-resolution #512 #1408 #980 #977]: #107 +#1410 := [unit-resolution #692 #1409 #1407]: false +#1412 := [lemma #1410]: #1411 +#1422 := [unit-resolution #1412 #924 #980 #938]: #223 +#1423 := [unit-resolution #456 #1422 #934 #1421]: false +#1425 := [lemma #1423]: #1424 +#1443 := [unit-resolution #1425 #1442 #980]: #248 +#1444 := [unit-resolution #477 #1443 #1441 #1440]: #53 +#1445 := [unit-resolution #618 #1444]: #241 +#1446 := [unit-resolution #1054 #1443 #1441]: #235 +#1447 := [unit-resolution #788 #1446]: #49 +#1448 := [unit-resolution #646 #1447]: #276 +#1449 := [unit-resolution #502 #1448 #1445 #1437 #1434]: false +#1451 := [lemma #1449]: #1450 +#1452 := [unit-resolution #1451 #1095 #980]: #87 +#1453 := [unit-resolution #647 #1452]: #236 +#1454 := [unit-resolution #788 #1453]: #47 +#1455 := [unit-resolution #623 #1454]: #214 +#1456 := [unit-resolution #769 #1455]: #20 +#1457 := [unit-resolution #606 #1456]: #218 +#1458 := [unit-resolution #1425 #1457 #980]: #248 +#1459 := [unit-resolution #1054 #1458 #1454]: #62 +#1460 := [unit-resolution #658 #1459]: #290 +#1461 := [unit-resolution #1432 #1460 #1095]: #129 +#1462 := [unit-resolution #621 #1454]: #241 +#1463 := [unit-resolution #645 #1452]: #276 +#1464 := [unit-resolution #659 #1459]: #281 +#1465 := [unit-resolution #502 #1464 #1463 #1462]: #93 +#1466 := [unit-resolution #680 #1465 #1461]: false +#1468 := [lemma #1466]: #1467 +#1481 := [unit-resolution #1468 #980]: #136 +#1482 := [unit-resolution #693 #1481]: #339 +#1479 := (or #387 #145) +#1469 := [hypothesis]: #188 +#1470 := [unit-resolution #726 #1469]: #388 +#1471 := [unit-resolution #860 #1470]: #208 +#1472 := [hypothesis]: #339 +#1473 := [unit-resolution #727 #1469]: #379 +#1475 := (or #181 #183 #145) +#373 := (or #371 #372) +#714 := [asserted]: #373 +#1474 := [unit-resolution #714 #1399]: #371 +#1476 := [unit-resolution #572 #1474]: #1475 +#1477 := [unit-resolution #1476 #1473 #1472]: #183 +#1478 := [unit-resolution #743 #1477 #1471]: false +#1480 := [lemma #1478]: #1479 +#1483 := [unit-resolution #1480 #1482]: #387 +#1484 := [unit-resolution #842 #1483]: #157 +#1485 := [unit-resolution #702 #1484]: #346 +#1486 := [unit-resolution #703 #1484]: #313 +#1487 := [unit-resolution #796 #1486 #1481 #1485 #980]: #152 +#1488 := [unit-resolution #730 #1487]: #388 +#1489 := [unit-resolution #860 #1488]: #208 +#1490 := [unit-resolution #731 #1487]: #379 +#1491 := [unit-resolution #1476 #1490 #1482]: #183 +#1492 := [unit-resolution #743 #1491 #1489]: false +#1493 := [lemma #1492]: #98 +#1515 := [unit-resolution #656 #1493]: #249 +#1511 := [unit-resolution #655 #1493]: #281 +#1512 := [unit-resolution #1420 #829 #1511]: #214 +#1513 := [unit-resolution #769 #1512]: #20 +#1514 := [unit-resolution #607 #1513]: #219 +#1516 := [unit-resolution #606 #1513]: #218 +#1509 := (or #248 #26) +#1494 := [unit-resolution #654 #1493]: #290 +#1495 := [unit-resolution #1432 #1095 #1494]: #129 +#300 := (or #297 #289) +#661 := [asserted]: #300 +#1496 := [unit-resolution #661 #1493]: #297 +#302 := (or #298 #289) +#663 := [asserted]: #302 +#1497 := [unit-resolution #663 #1493]: #298 +#1498 := (or #277 #136 #105 #107) +#1499 := [unit-resolution #1064 #1430]: #1498 +#1500 := [unit-resolution #1499 #1095 #1497 #1496]: #277 +#1501 := [unit-resolution #1428 #1500 #1495]: false +#1502 := [lemma #1501]: #136 +#1503 := [unit-resolution #693 #1502]: #339 +#1504 := [unit-resolution #1480 #1503]: #387 +#1505 := [unit-resolution #842 #1504]: #157 +#1506 := [unit-resolution #703 #1505]: #313 +#1507 := [unit-resolution #949 #938 #1506]: #223 +#1508 := [unit-resolution #456 #1507 #934 #1421]: false +#1510 := [lemma #1508]: #1509 +#1517 := [unit-resolution #1510 #1516]: #248 +#1518 := [unit-resolution #477 #1517 #1515 #1514]: #53 +#1519 := [unit-resolution #618 #1518]: #241 +#1520 := [unit-resolution #1054 #1517 #1515]: #235 +#1521 := [unit-resolution #788 #1520]: #49 +#1522 := [unit-resolution #646 #1521]: #276 +#1523 := [unit-resolution #502 #1522 #1519 #1511 #829]: false +#1524 := [lemma #1523]: #93 +#1525 := [unit-resolution #1436 #1524]: #87 +#321 := (or #318 #277) +#677 := [asserted]: #321 +#1526 := [unit-resolution #677 #1525]: #318 +#1527 := [unit-resolution #1255 #1526 #1511 #1515]: #60 +#1528 := [unit-resolution #1510 #1527]: #26 +#1529 := [unit-resolution #647 #1525]: #236 +#1530 := [unit-resolution #788 #1529]: #47 +#1531 := [unit-resolution #623 #1530]: #214 +#1532 := [unit-resolution #769 #1531]: #20 +[unit-resolution #606 #1532 #1528]: false unsat +53042978396971446eabf6039172bd47071e3fd3 67 0 #2 := false decl f1 :: S1 #3 := f1 decl f3 :: (-> Int S1) decl ?v0!0 :: Int -#53 := ?v0!0 -#54 := (f3 ?v0!0) -#55 := (= #54 f1) -#56 := (not #55) +#55 := ?v0!0 +#56 := (f3 ?v0!0) +#57 := (= #56 f1) +#58 := (not #57) decl ?v1!1 :: Int #66 := ?v1!1 #67 := (f3 ?v1!1) #68 := (= #67 f1) -#69 := (or #55 #68) +#69 := (or #57 #68) #70 := (not #69) -#84 := (and #55 #70) -#63 := (not #56) -#74 := (and #63 #70) -#85 := (iff #74 #84) -#82 := (iff #63 #55) -#83 := [rewrite]: #82 -#86 := [monotonicity #83]: #85 +#86 := (and #57 #70) +#63 := (not #58) +#76 := (and #63 #70) +#87 := (iff #76 #86) +#84 := (iff #63 #57) +#85 := [rewrite]: #84 +#88 := [monotonicity #85]: #87 #7 := (:var 0 Int) #8 := (f3 #7) #9 := (= #8 f1) @@ -2058,44 +1798,44 @@ #12 := (= #11 f1) #13 := (or #12 #9) #14 := (forall (vars (?v1 Int)) #13) -#23 := (not #9) -#24 := (or #23 #14) -#27 := (forall (vars (?v0 Int)) #24) -#30 := (not #27) -#77 := (~ #30 #74) -#57 := (or #55 #9) -#58 := (forall (vars (?v1 Int)) #57) -#59 := (or #56 #58) +#39 := (not #9) +#40 := (or #39 #14) +#43 := (forall (vars (?v0 Int)) #40) +#46 := (not #43) +#79 := (~ #46 #76) +#50 := (or #57 #9) +#52 := (forall (vars (?v1 Int)) #50) +#59 := (or #58 #52) #60 := (not #59) -#75 := (~ #60 #74) -#71 := (not #58) +#77 := (~ #60 #76) +#71 := (not #52) #72 := (~ #71 #70) #73 := [sk]: #72 #64 := (~ #63 #63) #65 := [refl]: #64 -#76 := [nnf-neg #65 #73]: #75 -#61 := (~ #30 #60) +#78 := [nnf-neg #65 #73]: #77 +#61 := (~ #46 #60) #62 := [sk]: #61 -#78 := [trans #62 #76]: #77 +#80 := [trans #62 #78]: #79 #15 := (implies #9 #14) #16 := (forall (vars (?v0 Int)) #15) #17 := (not #16) -#31 := (iff #17 #30) -#28 := (iff #16 #27) -#25 := (iff #15 #24) -#26 := [rewrite]: #25 -#29 := [quant-intro #26]: #28 -#32 := [monotonicity #29]: #31 -#19 := [asserted]: #17 -#33 := [mp #19 #32]: #30 -#79 := [mp~ #33 #78]: #74 -#80 := [mp #79 #86]: #84 -#87 := [and-elim #80]: #70 -#88 := [not-or-elim #87]: #56 -#81 := [and-elim #80]: #55 -[unit-resolution #81 #88]: false -4467e2bf3cf901d999549d9b67e78dac1d5ecf0f 117 0 +#47 := (iff #17 #46) +#44 := (iff #16 #43) +#41 := (iff #15 #40) +#42 := [rewrite]: #41 +#45 := [quant-intro #42]: #44 +#48 := [monotonicity #45]: #47 +#38 := [asserted]: #17 +#51 := [mp #38 #48]: #46 +#81 := [mp~ #51 #80]: #76 +#82 := [mp #81 #88]: #86 +#89 := [and-elim #82]: #70 +#90 := [not-or-elim #89]: #58 +#83 := [and-elim #82]: #57 +[unit-resolution #83 #90]: false unsat +a69a9e8c5e31ec6b9da4cf96f47b52cf6b9404d9 117 0 #2 := false decl f3 :: (-> S3 S2 S1) #10 := (:var 0 S2) @@ -2106,120 +1846,120 @@ #7 := f5 #17 := (f4 f5 f6) #18 := (f3 #17 #10) -#512 := (pattern #18) +#573 := (pattern #18) decl f1 :: S1 #3 := f1 #19 := (= #18 f1) -#57 := (not #19) -#513 := (forall (vars (?v0 S2)) (:pat #512) #57) +#76 := (not #19) +#574 := (forall (vars (?v0 S2)) (:pat #573) #76) decl f7 :: S2 #21 := f7 #22 := (f3 #17 f7) #23 := (= #22 f1) -#86 := (= f6 f1) -#87 := (iff #23 #86) +#150 := (= f6 f1) +#151 := (iff #23 #150) #8 := (:var 1 S1) #9 := (f4 f5 #8) #11 := (f3 #9 #10) -#505 := (pattern #11) +#566 := (pattern #11) #13 := (= #8 f1) #12 := (= #11 f1) #14 := (iff #12 #13) -#506 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #505) #14) +#567 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #566) #14) #15 := (forall (vars (?v0 S1) (?v1 S2)) #14) -#509 := (iff #15 #506) -#507 := (iff #14 #14) -#508 := [refl]: #507 -#510 := [quant-intro #508]: #509 -#58 := (~ #15 #15) +#570 := (iff #15 #567) +#568 := (iff #14 #14) +#569 := [refl]: #568 +#571 := [quant-intro #569]: #570 +#62 := (~ #15 #15) #60 := (~ #14 #14) #61 := [refl]: #60 -#59 := [nnf-pos #61]: #58 -#27 := [asserted]: #15 -#56 := [mp~ #27 #59]: #15 -#511 := [mp #56 #510]: #506 -#90 := (not #506) -#167 := (or #90 #87) -#500 := [quant-inst #16 #21]: #167 -#176 := [unit-resolution #500 #511]: #87 +#63 := [nnf-pos #61]: #62 +#46 := [asserted]: #15 +#53 := [mp~ #46 #63]: #15 +#572 := [mp #53 #571]: #567 +#152 := (not #567) +#228 := (or #152 #151) +#561 := [quant-inst #16 #21]: #228 +#237 := [unit-resolution #561 #572]: #151 decl ?v0!0 :: S2 -#67 := ?v0!0 -#68 := (f3 #17 ?v0!0) -#69 := (= #68 f1) -#175 := (iff #69 #86) -#177 := (or #90 #175) -#168 := [quant-inst #16 #67]: #177 -#166 := [unit-resolution #168 #511]: #175 -#179 := (not #175) -#138 := (or #179 #86) -#77 := (not #23) -#154 := [hypothesis]: #77 -#81 := (or #69 #23) -#64 := (forall (vars (?v0 S2)) #57) -#80 := (or #64 #77) -#82 := (and #81 #80) +#66 := ?v0!0 +#67 := (f3 #17 ?v0!0) +#68 := (= #67 f1) +#236 := (iff #68 #150) +#238 := (or #152 #236) +#229 := [quant-inst #16 #66]: #238 +#227 := [unit-resolution #229 #572]: #236 +#240 := (not #236) +#199 := (or #240 #150) +#55 := (not #23) +#215 := [hypothesis]: #55 +#83 := (or #68 #23) +#79 := (forall (vars (?v0 S2)) #76) +#82 := (or #79 #55) +#84 := (and #83 #82) #20 := (exists (vars (?v0 S2)) #19) -#32 := (not #20) -#33 := (iff #32 #23) -#83 := (~ #33 #82) -#78 := (~ #77 #77) -#79 := [refl]: #78 -#75 := (~ #23 #23) -#76 := [refl]: #75 -#72 := (not #32) -#73 := (~ #72 #69) -#70 := (~ #20 #69) -#71 := [sk]: #70 -#74 := [nnf-neg #71]: #73 -#65 := (~ #32 #64) -#62 := (~ #57 #57) -#63 := [refl]: #62 -#66 := [nnf-neg #63]: #65 -#84 := [nnf-pos #66 #74 #76 #79]: #83 +#48 := (not #20) +#49 := (iff #48 #23) +#85 := (~ #49 #84) +#57 := (~ #23 #23) +#65 := [refl]: #57 +#64 := (~ #55 #55) +#56 := [refl]: #64 +#80 := (~ #48 #79) +#77 := (~ #76 #76) +#78 := [refl]: #77 +#81 := [nnf-neg #78]: #80 +#73 := (not #48) +#74 := (~ #73 #68) +#69 := (~ #20 #68) +#70 := [sk]: #69 +#75 := [nnf-neg #70]: #74 +#86 := [nnf-pos #75 #81 #56 #65]: #85 #24 := (iff #20 #23) #25 := (not #24) -#34 := (iff #25 #33) -#35 := [rewrite]: #34 -#28 := [asserted]: #25 -#36 := [mp #28 #35]: #33 -#85 := [mp~ #36 #84]: #82 -#88 := [and-elim #85]: #81 -#496 := [unit-resolution #88 #154]: #69 -#182 := (not #69) -#161 := (or #179 #182 #86) -#497 := [def-axiom]: #161 -#480 := [unit-resolution #497 #496]: #138 -#142 := [unit-resolution #480 #166]: #86 -#180 := (not #86) -#501 := (not #87) -#143 := (or #501 #180) -#502 := (or #501 #23 #180) -#503 := [def-axiom]: #502 -#144 := [unit-resolution #503 #154]: #143 -#145 := [unit-resolution #144 #142 #176]: false -#482 := [lemma #145]: #23 -#518 := (or #513 #77) -#519 := (iff #80 #518) -#516 := (iff #64 #513) -#514 := (iff #57 #57) -#515 := [refl]: #514 -#517 := [quant-intro #515]: #516 -#520 := [monotonicity #517]: #519 -#89 := [and-elim #85]: #80 -#521 := [mp #89 #520]: #518 -#181 := [unit-resolution #521 #482]: #513 -#494 := (not #513) -#153 := (or #494 #77) -#158 := [quant-inst #21]: #153 -[unit-resolution #158 #482 #181]: false -03b722cb2eea463c8897e294f3d4d3f3f1ac4061 117 0 +#50 := (iff #25 #49) +#51 := [rewrite]: #50 +#47 := [asserted]: #25 +#54 := [mp #47 #51]: #49 +#87 := [mp~ #54 #86]: #84 +#90 := [and-elim #87]: #83 +#557 := [unit-resolution #90 #215]: #68 +#243 := (not #68) +#222 := (or #240 #243 #150) +#558 := [def-axiom]: #222 +#541 := [unit-resolution #558 #557]: #199 +#203 := [unit-resolution #541 #227]: #150 +#241 := (not #150) +#562 := (not #151) +#204 := (or #562 #241) +#563 := (or #562 #23 #241) +#564 := [def-axiom]: #563 +#205 := [unit-resolution #564 #215]: #204 +#206 := [unit-resolution #205 #203 #237]: false +#543 := [lemma #206]: #23 +#579 := (or #574 #55) +#580 := (iff #82 #579) +#577 := (iff #79 #574) +#575 := (iff #76 #76) +#576 := [refl]: #575 +#578 := [quant-intro #576]: #577 +#581 := [monotonicity #578]: #580 +#91 := [and-elim #87]: #82 +#582 := [mp #91 #581]: #579 +#242 := [unit-resolution #582 #543]: #574 +#555 := (not #574) +#214 := (or #555 #55) +#219 := [quant-inst #21]: #214 +[unit-resolution #219 #543 #242]: false unsat +fdf61e060f49731790f4d6c8f9b26c21349c60b3 117 0 #2 := false decl f1 :: S1 #3 := f1 decl f7 :: S1 #25 := f7 -#140 := (= f7 f1) +#206 := (= f7 f1) decl f3 :: (-> S3 S2 S1) decl f6 :: S2 #20 := f6 @@ -2229,109 +1969,109 @@ #26 := (f4 f5 f7) #30 := (f3 #26 f6) #31 := (= #30 f1) -#229 := (iff #31 #140) +#292 := (iff #31 #206) #10 := (:var 0 S2) #8 := (:var 1 S1) #9 := (f4 f5 #8) #11 := (f3 #9 #10) -#559 := (pattern #11) +#622 := (pattern #11) #13 := (= #8 f1) #12 := (= #11 f1) #14 := (iff #12 #13) -#560 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #559) #14) +#623 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #622) #14) #15 := (forall (vars (?v0 S1) (?v1 S2)) #14) -#563 := (iff #15 #560) -#561 := (iff #14 #14) -#562 := [refl]: #561 -#564 := [quant-intro #562]: #563 -#71 := (~ #15 #15) -#67 := (~ #14 #14) -#68 := [refl]: #67 -#72 := [nnf-pos #68]: #71 -#35 := [asserted]: #15 -#65 := [mp~ #35 #72]: #15 -#565 := [mp #65 #564]: #560 -#232 := (not #560) -#548 := (or #232 #229) -#207 := [quant-inst #25 #20]: #548 -#234 := [unit-resolution #207 #565]: #229 +#626 := (iff #15 #623) +#624 := (iff #14 #14) +#625 := [refl]: #624 +#627 := [quant-intro #625]: #626 +#73 := (~ #15 #15) +#71 := (~ #14 #14) +#72 := [refl]: #71 +#74 := [nnf-pos #72]: #73 +#54 := [asserted]: #15 +#62 := [mp~ #54 #74]: #15 +#628 := [mp #62 #627]: #623 +#295 := (not #623) +#611 := (or #295 #292) +#270 := [quant-inst #25 #20]: #611 +#297 := [unit-resolution #270 #628]: #292 decl ?v0!3 :: S2 -#121 := ?v0!3 -#122 := (f3 #26 ?v0!3) -#123 := (= #122 f1) -#233 := (iff #123 #140) -#236 := (or #232 #233) -#215 := [quant-inst #25 #121]: #236 -#235 := [unit-resolution #215 #565]: #233 -#551 := (not #233) -#536 := (or #551 #140) -#131 := (not #31) +#120 := ?v0!3 +#123 := (f3 #26 ?v0!3) +#124 := (= #123 f1) +#296 := (iff #124 #206) +#299 := (or #295 #296) +#278 := [quant-inst #25 #120]: #299 +#298 := [unit-resolution #278 #628]: #296 +#614 := (not #296) +#599 := (or #614 #206) +#108 := (not #31) #27 := (f3 #26 #10) -#591 := (pattern #27) +#654 := (pattern #27) #28 := (= #27 f1) -#113 := (not #28) -#592 := (forall (vars (?v0 S2)) (:pat #591) #113) -#141 := [hypothesis]: #31 -#597 := (or #592 #131) -#118 := (forall (vars (?v0 S2)) #113) -#134 := (or #118 #131) -#598 := (iff #134 #597) -#595 := (iff #118 #592) -#593 := (iff #113 #113) -#594 := [refl]: #593 -#596 := [quant-intro #594]: #595 -#599 := [monotonicity #596]: #598 -#135 := (or #123 #31) -#136 := (and #135 #134) +#132 := (not #28) +#655 := (forall (vars (?v0 S2)) (:pat #654) #132) +#207 := [hypothesis]: #31 +#660 := (or #655 #108) +#135 := (forall (vars (?v0 S2)) #132) +#138 := (or #135 #108) +#661 := (iff #138 #660) +#658 := (iff #135 #655) +#656 := (iff #132 #132) +#657 := [refl]: #656 +#659 := [quant-intro #657]: #658 +#662 := [monotonicity #659]: #661 +#139 := (or #124 #31) +#140 := (and #139 #138) #29 := (exists (vars (?v0 S2)) #28) -#41 := (not #29) -#42 := (iff #41 #31) -#137 := (~ #42 #136) -#132 := (~ #131 #131) -#133 := [refl]: #132 -#129 := (~ #31 #31) -#130 := [refl]: #129 -#126 := (not #41) -#127 := (~ #126 #123) -#124 := (~ #29 #123) -#125 := [sk]: #124 -#128 := [nnf-neg #125]: #127 -#119 := (~ #41 #118) -#114 := (~ #113 #113) -#117 := [refl]: #114 -#120 := [nnf-neg #117]: #119 -#138 := [nnf-pos #120 #128 #130 #133]: #137 +#57 := (not #29) +#58 := (iff #57 #31) +#141 := (~ #58 #140) +#81 := (~ #31 #31) +#119 := [refl]: #81 +#109 := (~ #108 #108) +#80 := [refl]: #109 +#136 := (~ #57 #135) +#133 := (~ #132 #132) +#134 := [refl]: #133 +#137 := [nnf-neg #134]: #136 +#129 := (not #57) +#130 := (~ #129 #124) +#125 := (~ #29 #124) +#126 := [sk]: #125 +#131 := [nnf-neg #126]: #130 +#142 := [nnf-pos #131 #137 #80 #119]: #141 #32 := (iff #29 #31) #33 := (not #32) -#43 := (iff #33 #42) -#44 := [rewrite]: #43 -#37 := [asserted]: #33 -#45 := [mp #37 #44]: #42 -#139 := [mp~ #45 #138]: #136 -#143 := [and-elim #139]: #134 -#600 := [mp #143 #599]: #597 -#230 := [unit-resolution #600 #141]: #592 -#547 := (not #592) -#220 := (or #547 #131) -#221 := [quant-inst #20]: #220 -#554 := [unit-resolution #221 #141 #230]: false -#555 := [lemma #554]: #131 -#142 := [and-elim #139]: #135 -#199 := [unit-resolution #142 #555]: #123 -#144 := (not #123) -#231 := (or #551 #144 #140) -#222 := [def-axiom]: #231 -#537 := [unit-resolution #222 #199]: #536 -#538 := [unit-resolution #537 #235]: #140 -#553 := (not #140) -#212 := (not #229) -#539 := (or #212 #553) -#549 := (or #212 #31 #553) -#208 := [def-axiom]: #549 -#540 := [unit-resolution #208 #555]: #539 -[unit-resolution #540 #538 #234]: false -d52a85a56d8c1a29429987c40f8741cebe859405 61 0 +#59 := (iff #33 #58) +#60 := [rewrite]: #59 +#56 := [asserted]: #33 +#63 := [mp #56 #60]: #58 +#143 := [mp~ #63 #142]: #140 +#147 := [and-elim #143]: #138 +#663 := [mp #147 #662]: #660 +#293 := [unit-resolution #663 #207]: #655 +#610 := (not #655) +#283 := (or #610 #108) +#284 := [quant-inst #20]: #283 +#617 := [unit-resolution #284 #207 #293]: false +#618 := [lemma #617]: #108 +#146 := [and-elim #143]: #139 +#262 := [unit-resolution #146 #618]: #124 +#208 := (not #124) +#294 := (or #614 #208 #206) +#285 := [def-axiom]: #294 +#600 := [unit-resolution #285 #262]: #599 +#601 := [unit-resolution #600 #298]: #206 +#616 := (not #206) +#275 := (not #292) +#602 := (or #275 #616) +#612 := (or #275 #31 #616) +#271 := [def-axiom]: #612 +#603 := [unit-resolution #271 #618]: #602 +[unit-resolution #603 #601 #297]: false unsat +5c792581e65682628e5c59ca9f3f8801e6aeba72 61 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2344,92 +2084,92 @@ #18 := f5 #19 := (f3 f5) #20 := (= #19 f1) -#29 := (not #9) -#30 := (or #29 #20) -#33 := (not #30) +#45 := (not #9) +#46 := (or #45 #20) +#49 := (not #46) #21 := (implies #9 #20) #22 := (not #21) -#34 := (iff #22 #33) -#31 := (iff #21 #30) -#32 := [rewrite]: #31 -#35 := [monotonicity #32]: #34 -#25 := [asserted]: #22 -#36 := [mp #25 #35]: #33 -#37 := [not-or-elim #36]: #9 +#50 := (iff #22 #49) +#47 := (iff #21 #46) +#48 := [rewrite]: #47 +#51 := [monotonicity #48]: #50 +#44 := [asserted]: #22 +#54 := [mp #44 #51]: #49 +#52 := [not-or-elim #54]: #9 #10 := (:var 0 S2) #11 := (f3 #10) -#491 := (pattern #11) +#550 := (pattern #11) #12 := (= #11 f1) #15 := (not #12) -#492 := (forall (vars (?v0 S2)) (:pat #491) #15) +#551 := (forall (vars (?v0 S2)) (:pat #550) #15) #16 := (forall (vars (?v0 S2)) #15) -#495 := (iff #16 #492) -#493 := (iff #15 #15) -#494 := [refl]: #493 -#496 := [quant-intro #494]: #495 +#554 := (iff #16 #551) +#552 := (iff #15 #15) +#553 := [refl]: #552 +#555 := [quant-intro #553]: #554 #13 := (exists (vars (?v0 S2)) #12) #14 := (not #13) -#71 := (~ #14 #16) -#59 := (~ #15 #15) -#60 := [refl]: #59 -#72 := [nnf-neg #60]: #71 +#60 := (~ #14 #16) +#63 := (~ #15 #15) +#64 := [refl]: #63 +#72 := [nnf-neg #64]: #60 #17 := (if #9 #14 #16) -#68 := (iff #17 #14) +#70 := (iff #17 #14) #1 := true #65 := (if true #14 #16) -#62 := (iff #65 #14) -#67 := [rewrite]: #62 +#68 := (iff #65 #14) +#69 := [rewrite]: #68 #66 := (iff #17 #65) -#63 := (iff #9 true) -#64 := [iff-true #37]: #63 -#61 := [monotonicity #64]: #66 -#69 := [trans #61 #67]: #68 -#24 := [asserted]: #17 -#70 := [mp #24 #69]: #14 -#73 := [mp~ #70 #72]: #16 -#497 := [mp #73 #496]: #492 -#75 := (not #492) -#162 := (or #75 #29) -#76 := [quant-inst #7]: #162 -[unit-resolution #76 #497 #37]: false -4ee0a4e3f4c5dbd20f1be18c405a836de5af68d2 17 0 +#61 := (iff #9 true) +#62 := [iff-true #52]: #61 +#67 := [monotonicity #62]: #66 +#71 := [trans #67 #69]: #70 +#43 := [asserted]: #17 +#59 := [mp #43 #71]: #14 +#57 := [mp~ #59 #72]: #16 +#556 := [mp #57 #555]: #551 +#135 := (not #551) +#221 := (or #135 #45) +#136 := [quant-inst #7]: #221 +[unit-resolution #136 #556 #52]: false unsat +0ce3a745d60cdbf0fe26b07c5e76de09d459dd25 17 0 #2 := false #7 := 3::Int #8 := (= 3::Int 3::Int) #9 := (not #8) -#23 := (iff #9 false) +#38 := (iff #9 false) #1 := true -#18 := (not true) -#21 := (iff #18 false) -#22 := [rewrite]: #21 -#19 := (iff #9 #18) -#16 := (iff #8 true) -#17 := [rewrite]: #16 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#11 := [asserted]: #9 -[mp #11 #24]: false -8eb471f821b833f83e55527f320dd341eddcf700 17 0 +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #9 #33) +#31 := (iff #8 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#30 := [asserted]: #9 +[mp #30 #39]: false unsat +1532b1dde71eb42ca0a012bb62d9bbadf37fa326 17 0 #2 := false #7 := 3::Real #8 := (= 3::Real 3::Real) #9 := (not #8) -#23 := (iff #9 false) +#38 := (iff #9 false) #1 := true -#18 := (not true) -#21 := (iff #18 false) -#22 := [rewrite]: #21 -#19 := (iff #9 #18) -#16 := (iff #8 true) -#17 := [rewrite]: #16 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#11 := [asserted]: #9 -[mp #11 #24]: false -c53677498fbbc0279d49e170ecebacd85ec37066 26 0 +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #9 #33) +#31 := (iff #8 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#30 := [asserted]: #9 +[mp #30 #39]: false unsat +94425abeeb45b838fcb1ab9c8323796e36a681e5 26 0 #2 := false #10 := 4::Int #8 := 1::Int @@ -2437,26 +2177,26 @@ #9 := (+ 3::Int 1::Int) #11 := (= #9 4::Int) #12 := (not #11) -#32 := (iff #12 false) +#47 := (iff #12 false) #1 := true -#27 := (not true) -#30 := (iff #27 false) -#31 := [rewrite]: #30 -#28 := (iff #12 #27) -#25 := (iff #11 true) -#19 := (= 4::Int 4::Int) -#23 := (iff #19 true) -#24 := [rewrite]: #23 -#20 := (iff #11 #19) -#18 := [rewrite]: #11 -#21 := [monotonicity #18]: #20 -#26 := [trans #21 #24]: #25 -#29 := [monotonicity #26]: #28 -#33 := [trans #29 #31]: #32 -#14 := [asserted]: #12 -[mp #14 #33]: false -7e6f4869abf700172472e795c9b4c6c255ad1fbe 37 0 +#42 := (not true) +#45 := (iff #42 false) +#46 := [rewrite]: #45 +#43 := (iff #12 #42) +#40 := (iff #11 true) +#35 := (= 4::Int 4::Int) +#38 := (iff #35 true) +#39 := [rewrite]: #38 +#36 := (iff #11 #35) +#34 := [rewrite]: #11 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#33 := [asserted]: #12 +[mp #33 #48]: false unsat +673f00f23a414ea8ab1557752d859ea787c89c1b 41 0 #2 := false decl f3 :: Int #7 := f3 @@ -2470,31 +2210,35 @@ #11 := (+ f3 #10) #14 := (= #11 #13) #15 := (not #14) -#40 := (iff #15 false) +#59 := (iff #15 false) #1 := true -#35 := (not true) -#38 := (iff #35 false) +#54 := (not true) +#57 := (iff #54 false) +#58 := [rewrite]: #57 +#55 := (iff #15 #54) +#52 := (iff #14 true) +#47 := (= #11 #11) +#50 := (iff #47 true) +#51 := [rewrite]: #50 +#48 := (iff #14 #47) +#45 := (= #13 #11) +#37 := (+ f3 f5) +#40 := (+ f4 #37) +#43 := (= #40 #11) +#44 := [rewrite]: #43 +#41 := (= #13 #40) +#38 := (= #12 #37) #39 := [rewrite]: #38 -#36 := (iff #15 #35) -#33 := (iff #14 true) -#24 := (+ f4 f5 f3) -#21 := (+ f3 f4 f5) -#27 := (= #21 #24) -#31 := (iff #27 true) -#32 := [rewrite]: #31 -#28 := (iff #14 #27) -#25 := (= #13 #24) -#26 := [rewrite]: #25 -#22 := (= #11 #21) -#23 := [rewrite]: #22 -#29 := [monotonicity #23 #26]: #28 -#34 := [trans #29 #32]: #33 -#37 := [monotonicity #34]: #36 -#41 := [trans #37 #39]: #40 -#17 := [asserted]: #15 -[mp #17 #41]: false -a824144d3163a12246d06059fe9af86abcf7fb10 48 0 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 +#56 := [monotonicity #53]: #55 +#60 := [trans #56 #58]: #59 +#36 := [asserted]: #15 +[mp #36 #60]: false unsat +1f5e59fc26e6d68939e39d2fe658ebc1a264f509 35 0 #2 := false #8 := 3::Int #9 := 8::Int @@ -2503,46 +2247,34 @@ #7 := 5::Int #12 := (< 5::Int #11) #13 := (not #12) -#54 := (iff #13 false) +#58 := (iff #13 false) #1 := true -#49 := (not true) -#52 := (iff #49 false) -#53 := [rewrite]: #52 -#50 := (iff #13 #49) -#47 := (iff #12 true) -#32 := (<= 8::Int 5::Int) -#33 := (not #32) -#45 := (iff #33 true) -#40 := (not false) -#43 := (iff #40 true) -#44 := [rewrite]: #43 -#41 := (iff #33 #40) -#38 := (iff #32 false) -#39 := [rewrite]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#36 := (iff #12 #33) -#29 := (< 5::Int 8::Int) -#34 := (iff #29 #33) -#35 := [rewrite]: #34 -#30 := (iff #12 #29) -#27 := (= #11 8::Int) -#22 := (if true 8::Int 3::Int) -#25 := (= #22 8::Int) -#26 := [rewrite]: #25 -#23 := (= #11 #22) -#20 := (iff #10 true) -#21 := [rewrite]: #20 -#24 := [monotonicity #21]: #23 -#28 := [trans #24 #26]: #27 -#31 := [monotonicity #28]: #30 -#37 := [trans #31 #35]: #36 -#48 := [trans #37 #46]: #47 -#51 := [monotonicity #48]: #50 -#55 := [trans #51 #53]: #54 -#15 := [asserted]: #13 -[mp #15 #55]: false -8b049c9c7421dfc8c62639e17338cbd84ff8a029 216 0 +#53 := (not true) +#56 := (iff #53 false) +#57 := [rewrite]: #56 +#54 := (iff #13 #53) +#51 := (iff #12 true) +#46 := (< 5::Int 8::Int) +#49 := (iff #46 true) +#50 := [rewrite]: #49 +#47 := (iff #12 #46) +#44 := (= #11 8::Int) +#39 := (if true 8::Int 3::Int) +#42 := (= #39 8::Int) +#43 := [rewrite]: #42 +#40 := (= #11 #39) +#37 := (iff #10 true) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#45 := [trans #41 #43]: #44 +#48 := [monotonicity #45]: #47 +#52 := [trans #48 #50]: #51 +#55 := [monotonicity #52]: #54 +#59 := [trans #55 #57]: #58 +#34 := [asserted]: #13 +[mp #34 #59]: false +unsat +e7f019160a38d08774f8a2e816f96aa54c924fba 216 0 #2 := false #10 := 0::Real decl f4 :: Real @@ -2759,7 +2491,7 @@ #240 := [unit-resolution #189 #239]: #155 [th-lemma arith farkas -1 -1 1 1 #240 #217 #127 #238]: false unsat -2130c0a211865d32db21d0798ef35056b373441f 42 0 +9e5f324cc33eb4abf1be11d977dfdec45557ae46 42 0 #2 := false decl f3 :: (-> S1 S2) decl f1 :: S1 @@ -2802,7 +2534,7 @@ #35 := [asserted]: #14 [mp #35 #61]: false unsat -962a57e270a873c5fccc9aa943c37c86be9989bb 49 0 +cc322c3513bba37f77e905b379b26c79239b69a4 49 0 #2 := false #12 := 1::Int decl f3 :: Int @@ -2852,7 +2584,7 @@ #36 := [asserted]: #15 [mp #36 #70]: false unsat -2afccb348df223d2e9a13eda20d89b37612cbef1 63 0 +75c4589e7d7ab0bf262babccc302883b71f9a923 63 0 #2 := false #14 := 0::Int decl f4 :: Int @@ -2916,7 +2648,7 @@ #83 := [mp #59 #82]: #70 [mp #83 #95]: false unsat -b910449e10d880c681c7024f160f5239d3b9f56e 35 0 +31769d5312feac1587c3f744c5c881fb2d86e85f 35 0 #2 := false #9 := 5::Int #7 := 2::Int @@ -2952,7 +2684,7 @@ #33 := [asserted]: #12 [mp #33 #57]: false unsat -31cab35b749e92f0f69d54060a3adf77628fdcc3 45 0 +f8ba8c3ed7f7c7d5e49139b62e145fc6eee338f1 45 0 #2 := false #14 := 4::Real decl f4 :: Real @@ -2998,7 +2730,7 @@ #67 := [mp #43 #66]: #58 [th-lemma arith farkas 7 3/2 1 #67 #54 #45]: false unsat -70d100587a22b3aac8b6223ca69d10fc4232fd77 59 0 +c61600e5a5dab4b2c2864caededa0b50f81df696 59 0 #2 := false #19 := (not false) decl f4 :: Int @@ -3058,7 +2790,7 @@ #41 := [asserted]: #21 [mp #41 #78]: false unsat -b1114e42b528a3f3368f02584a60d74e21ce36f3 439 0 +7f98d11cd70eeb0eb4aea9722e1648cd3cfdbe2c 439 0 #2 := false decl f4 :: Int #8 := f4 @@ -3498,7 +3230,7 @@ #497 := [unit-resolution #456 #496 #490]: #20 [unit-resolution #497 #501]: false unsat -85045dafb5b814ffc5cbcd5ff6b6686db0c031a5 2215 0 +6e7ef563e385e00340c905e5fb44172a278ff733 2215 0 #2 := false decl f12 :: Int #52 := f12 @@ -5714,7 +5446,7 @@ #2264 := [unit-resolution #1544 #2263 #2262]: #65 [unit-resolution #658 #2264 #2259]: false unsat -c69d5d4255e8606842bc591eb455581408ecf173 52 0 +70bd6436662c1fd4b8c8a6f696914593051990e6 52 0 #2 := false #11 := 1::Real decl f3 :: Real @@ -5767,7 +5499,7 @@ #37 := [asserted]: #16 [mp #37 #73]: false unsat -831d28afa9cf941930d32bdaa862b9ddf2a718a5 341 0 +68356683e9cf34e34d65674fa3c8a62835e193a4 341 0 #2 := false #24 := 0::Int decl f3 :: Int @@ -6109,7 +5841,7 @@ #652 := [unit-resolution #646 #666]: #755 [unit-resolution #652 #650 #649]: false unsat -939e3758e2e10d03fb65ec30390e9e486d20dc8e 343 0 +1432b33c6328a1ffc0a07c49f1ba0f71ab4e0de0 343 0 #2 := false #23 := 0::Int decl f3 :: Int @@ -6453,7 +6185,7 @@ #635 := [unit-resolution #634 #645]: #750 [unit-resolution #635 #630 #629]: false unsat -74ff14110bbb0018e1d9b2bb1ca338d7d58b9ba7 101 0 +6c2df05479a46eb0dc1434ea9ed59f4fae72c26e 101 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -6555,7 +6287,7 @@ #122 := [th-lemma arith triangle-eq]: #121 [unit-resolution #122 #118 #111 #45]: false unsat -5d74029d261367c40f523c70d0425e39aa05656a 916 0 +9f8072a1ad3de2c920c120b81de67bceefc50c87 916 0 #2 := false #22 := 1::Int decl f3 :: (-> S2 Int Int) @@ -7472,7 +7204,7 @@ #1665 := [unit-resolution #1640 #1664 #1654 #1663]: #1266 [unit-resolution #1468 #1665 #1662]: false unsat -708c54fa92a38587409efdd16c74ec37e20e2b24 24 0 +0eb09039097aac0255a0090f04ca5df53ea2d10a 24 0 #2 := false #7 := (exists (vars (?v0 Int)) false) #8 := (not #7) @@ -7497,7 +7229,7 @@ #30 := [asserted]: #9 [mp #30 #46]: false unsat -fc6d81b59098b37bdb85891cea739cff88a4cdb6 24 0 +f966ee970dc5619d71e606afb53aade7fa8a1452 24 0 #2 := false #7 := (exists (vars (?v0 Real)) false) #8 := (not #7) @@ -7522,13 +7254,13 @@ #30 := [asserted]: #9 [mp #30 #46]: false unsat -0af127c441080d9be87ef936c6f900945a11800e 1 0 +c4f4c8220660d1979009b33a643f0927bee816b1 1 0 unsat -39442bd44c6b81734dce64f48a2e8cfe6d7ef53b 1 0 +db6426d59fdd57da8ca5d11de399761d1f1443de 1 0 unsat -92a9cdc5e3be1caf16415f275672ba72e11bb4d1 1 0 +e7ef76d73ccb9bc09d2b5368495a7a59d1bae3dc 1 0 unsat -75d80d6072d013ed3e949f6837066b1429f3d619 54 0 +a2da5fa16f268876e3dcbc1874e34212d0a36218 54 0 #2 := false #11 := 1::Int #8 := 0::Int @@ -7583,7 +7315,7 @@ #136 := [trans #134 #72]: #135 [mp #136 #138]: false unsat -92fd6555d299024a17bfc17027870ad0919243ff 82 0 +46597b09986e0d4d045609318eeba242d6132e5c 82 0 #2 := false #8 := (:var 0 Int) #10 := 0::Int @@ -7666,7 +7398,7 @@ #37 := [asserted]: #17 [mp #37 #103]: false unsat -46de1bc1af5e350ddd1b0ad779cbf855c1a471a1 78 0 +aea13e787f95ed97feac7bd1dfc69160a5b8be70 78 0 #2 := false #8 := (:var 0 Int) #10 := 2::Int @@ -7745,7 +7477,7 @@ #39 := [asserted]: #18 [mp #39 #99]: false unsat -b862ad22dd9ecdb24d22ad71d0b47057aeade516 56 0 +e6703a33319f0e5148dba82e8205956f98cd7b63 56 0 #2 := false #12 := (:var 0 Int) #7 := 2::Int @@ -7802,7 +7534,7 @@ #38 := [asserted]: #17 [mp #38 #78]: false unsat -d22de288e1e6fa553e6f3d0d9c4c72eaac8ba9f7 89 0 +8a770e2a15f5bbced47daef21d1d322e18a383fb 89 0 #2 := false #7 := 2::Int decl ?v0!1 :: Int @@ -7892,7 +7624,7 @@ #174 := [unit-resolution #172 #84]: #173 [unit-resolution #174 #111 #110]: false unsat -bbb79358278efd2f50b5374712065c2bd5509427 89 0 +c93368b1109e5b13c7d8bc3c33d69c60ba539127 89 0 #2 := false #7 := 0::Int decl ?v0!0 :: Int @@ -7982,7 +7714,7 @@ #178 := [unit-resolution #165 #97]: #177 [unit-resolution #178 #176 #173]: false unsat -f8d6fcfb2c146004937d3e2687f80fb7b9e71e08 84 0 +8578dab7bf88c7d119f9af2e5f7eaf948f1bdb87 84 0 WARNING: failed to find a pattern for quantifier (quantifier id: k!10) #2 := false #8 := 0::Int @@ -8067,7 +7799,7 @@ #63 := [mp~ #61 #70]: #56 [unit-resolution #63 #529]: false unsat -98ea18bb7ed4825aeaf82772b27a9684cb2bed9f 165 0 +252d255c564463d916bc68156eea8dbe7fb0be0a 165 0 WARNING: failed to find a pattern for quantifier (quantifier id: k!10) #2 := false #7 := 0::Int @@ -8233,7 +7965,7 @@ #563 := [unit-resolution #136 #574]: #62 [unit-resolution #563 #570]: false unsat -41a9dc7919d6df65f060b1b899094fbf1d9ad6ba 63 0 +f6f0c702e5caae5d1fc0a3e7862c44d261de6d47 63 0 #2 := false #15 := 1::Int #12 := (:var 1 Int) @@ -8297,7 +8029,7 @@ #40 := [asserted]: #19 [mp #40 #87]: false unsat -6912c1751294e15845c5073be78e1e9aebf84cf9 101 0 +302156fb98e1f9b5657a3c89c418d5e1813f274a 101 0 #2 := false #7 := 0::Int decl ?v1!1 :: Int @@ -8399,7 +8131,7 @@ #125 := [and-elim #108]: #88 [th-lemma arith farkas 1 1 1 #125 #124 #126]: false unsat -602658d510491230a33b4d0db4cf9ef889fff5d2 99 0 +bcc217c52aea6d752e93b67733058589bedd0079 99 0 #2 := false #39 := -1::Int decl ?v1!1 :: Int @@ -8499,7 +8231,7 @@ #180 := [unit-resolution #179 #118]: #107 [unit-resolution #180 #120]: false unsat -985c93e0a5f1ce8a2da959ba74511df9451610ad 143 0 +8a78832884e41117489fba88c88de0b5cacb832a 143 0 #2 := false #10 := 0::Int #8 := (:var 0 Int) @@ -8643,7 +8375,7 @@ #160 := [mp #128 #159]: #155 [mp #160 #183]: false unsat -63d20accf8ad42641c987f5442607c5721cb43fb 67 0 +ea961570b37add45bc63c8f0e3f6ddc653b28f42 67 0 ERROR: line 11 column 83: invalid pattern. #2 := false decl f3 :: Int @@ -8711,7 +8443,7 @@ #37 := [asserted]: #16 [mp #37 #86]: false unsat -1cfe9564946e052422f3734e258f62595f0a9412 54 0 +cc87973002902704adc7d85df3fb8affa4a44929 54 0 #2 := false #10 := 1::Int decl ?v1!0 :: Int @@ -8766,9 +8498,9 @@ #139 := [unit-resolution #138 #78]: #62 [unit-resolution #139 #79]: false unsat -c22c22b3ba012feae782c7385953ed357b59b45c 1 0 +1d9e76ccce459de8771731a1c234c6d9e2aa3527 1 0 unsat -341447bcaf93988f0b7d6678a14d4c50e4db9b7f 75 0 +e46d82e75c1853418f786555dbc1a12ba5d54f6e 75 0 #2 := false #9 := 1::Int decl f5 :: Int @@ -8844,7 +8576,7 @@ #40 := [asserted]: #19 [mp #40 #94]: false unsat -d5d80b9320d4c205de1be4e0283a62bbca18eb64 62 0 +60242f59c15f3933ccbd1d4ed5e4e07293c9dd72 62 0 #2 := false decl f4 :: Real #9 := f4 @@ -8907,7 +8639,7 @@ #40 := [asserted]: #19 [mp #40 #82]: false unsat -e45dae900e2e0eeb849f9514267495ab98a945b1 141 0 +3ecab0bc7101d63e72b4fb9ac8a649c491da9533 141 0 #2 := false decl f6 :: Int #12 := f6 @@ -9049,7 +8781,7 @@ #53 := [asserted]: #32 [mp #53 #158]: false unsat -7e345b8256329432a24c0098659af0d0da3f8b9c 37 0 +43550507f510d81bc4fb9ef8c1fd14424eaa9070 37 0 #2 := false #10 := 0::Int decl f3 :: Int @@ -9087,7 +8819,7 @@ #53 := [not-or-elim #52]: #11 [th-lemma arith farkas 1 1 1 #53 #57 #55]: false unsat -173dcd56c4eb3955c1a0afe5894b9f20d665d5a4 225 0 +f5067fa58c623377db978838e2294684a3fe7bb2 225 0 #2 := false #24 := 0::Int decl f5 :: (-> S4 S3 Int) @@ -9313,7 +9045,7 @@ #527 := [unit-resolution #526 #425]: #550 [th-lemma arith gcd-test -1/2 -1/2 -1/2 -1/2 #529 #527 #515 #524]: false unsat -10b9b3d3225e279927703a7138fa37357bc1a2b4 55 0 +4225ab6372dca8ebf6ba05ad5ea39526a6e2a129 55 0 #2 := false #74 := 4::Int decl f3 :: (-> S2 S3 Int) @@ -9369,7 +9101,7 @@ #301 := [unit-resolution #216 #88]: #76 [unit-resolution #301 #89]: false unsat -83084ab04d727810863c900d9684257895074106 270 0 +6b3381ed26844d4b649300d18bdcc49988752527 270 0 #2 := false #7 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -9640,7 +9372,7 @@ #90 := [mp #57 #89]: #77 [th-lemma arith farkas -1 -1 1 #90 #519 #518]: false unsat -0c91cb6bf3bcb8a10a4871e9ec475b571f03d883 269 0 +b3acce989065928cb3ce15ce4113a910c6fff5aa 269 0 #2 := false #7 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -9910,7 +9642,7 @@ #580 := [unit-resolution #596 #594]: #654 [th-lemma arith farkas 1 -1 -1 1 #600 #119 #580 #609]: false unsat -883f0bd08ff2fcce6dafab7dcff61923fd895e14 147 0 +4f28f42d6f2b6fbb94a4ff1e55f0a807d8afe0f8 147 0 #2 := false #10 := 0::Int decl f7 :: Int @@ -10058,7 +9790,7 @@ #338 := [unit-resolution #616 #618]: #641 [th-lemma arith farkas 1 1 1 #338 #262 #629]: false unsat -0f3d54ed51fa30b450e38c23afe57212bbebc6dd 431 0 +7e6da58556dd56d85be0ea32c44b6f00c868dac5 431 0 WARNING: For problems containing quantifiers, the model finding capabilities of Z3 work better when the formula does not contain nested quantifiers. You can use PULL_NESTED_QUANTIFIERS=true to eliminate nested quantifiers. #2 := false #446 := -1::Int @@ -10490,7 +10222,7 @@ #150 := [not-or-elim #147]: #149 [th-lemma arith farkas -4 1 1 #150 #622 #575]: false unsat -fd4d98b0eed13792693ae0a8136c6836082ab811 58 0 +f0add7d14def5da0b06e595882e28df041b2cf29 58 0 #2 := false decl f8 :: S2 #18 := f8 @@ -10549,7 +10281,7 @@ #55 := [not-or-elim #54]: #53 [unit-resolution #55 #214]: false unsat -54ed94e7408ff82930a92d4010c74312402c8de2 106 0 +86345bce2206ce27e174d4b1d6d3e0182564f8a1 106 0 #2 := false decl f11 :: (-> S9 S5 S3) decl f16 :: S5 @@ -10656,7 +10388,7 @@ #80 := [not-or-elim #77]: #79 [unit-resolution #80 #217]: false unsat -a973ebe0ddefe8f57f45047d94130cd1cb03b18f 113 0 +7180d528e452ef46d73483bf56a7d7018ee1b306 113 0 #2 := false decl f3 :: (-> S2 S3 S4) decl f8 :: S3 @@ -10770,7 +10502,7 @@ #87 := [not-or-elim #84]: #86 [unit-resolution #87 #529]: false unsat -bb72677b6383b269d7de6046448ed8d87d1bc4ef 74 0 +1c419ffe565f74df1755b00362bfce413a0bbb21 74 0 #2 := false decl f1 :: S1 #3 := f1 @@ -10845,7 +10577,7 @@ #80 := [mp #69 #79]: #77 [mp #80 #82]: false unsat -53946fb2c677a4b873691332b928354017b0ad0e 106 0 +3e34e44b63355e42671aee2d18ee4707650d4862 106 0 #2 := false decl f7 :: S3 #19 := f7 @@ -10952,7 +10684,7 @@ #215 := [quant-inst #19]: #210 [unit-resolution #215 #575 #555]: false unsat -b9731ef54c4e3499fb2c009710dd563fdc4be6ee 29 0 +1396ebdf2db554fa58d5de90d7aa27d442610f3c 29 0 #2 := false #1 := true decl f1 :: S1 @@ -10982,7 +10714,7 @@ #36 := [asserted]: #15 [mp #36 #45]: false unsat -c1459ffeaaac12de208e5b699c20294611368ff4 29 0 +8fa5494ea43f950aa9add5e070d1d34c34426a1b 29 0 #2 := false #1 := true decl f1 :: S1 @@ -11012,7 +10744,7 @@ #36 := [asserted]: #15 [mp #36 #45]: false unsat -bf2cd5b03536b5bd0602eda620854302cd150049 8 0 +d1294cbafaacf645819bcfb92e5d2cec580195a2 8 0 #2 := false #1 := true #23 := (not true) @@ -11021,7 +10753,7 @@ #46 := [asserted]: #23 [mp #46 #48]: false unsat -89bfa27ccdaa7dcf714e523cef143bce280239ad 113 0 +352ef3cbf5b05cf656dc82749237c3b497c01e97 113 0 #2 := false decl f1 :: S1 #3 := f1 @@ -11135,7 +10867,7 @@ #71 := [not-or-elim #70]: #69 [unit-resolution #71 #525]: false unsat -273bebb141dbf0be0689bc04e07d9801bbd88484 424 0 +97b86f0e8383146ce18f7c02ef8a6d70afcb4b8a 424 0 #2 := false decl f9 :: (-> S6 S7 S7) decl f12 :: S7 @@ -11560,7 +11292,7 @@ #145 := [asserted]: #91 [unit-resolution #145 #373]: false unsat -8ed6ae59787ef073a0f2ee12e54e0a9e18c847b1 24 0 +7a4c9001ff099c38b0602b196e3bc37f301b1551 24 0 #2 := false decl f1 :: S1 #3 := f1 @@ -11585,7 +11317,7 @@ #34 := [asserted]: #13 [mp #34 #43]: false unsat -0a480e932cf9544226aa308a652a130c00794519 344 0 +5e86b4c9726ef5b2868f22c9ea608e9e3558803e 344 0 #2 := false decl f7 :: (-> S5 Int S2) #28 := 6::Int @@ -11930,9 +11662,9 @@ #107 := [asserted]: #31 [unit-resolution #107 #388]: false unsat -e9a200a4c01396af8a28649e89651e82c566aea6 1 0 +013f2c4f5eccbaac1754336d2ce477a569c8d0cd 1 0 unsat -a1b617e98026794f4fabc7b88d3c7c6545b77aeb 95 0 +8954c874576a1a34e48535e83e9151ff299d36aa 95 0 #2 := false decl f1 :: S1 #3 := f1 @@ -12028,7 +11760,7 @@ #312 := [mp #310 #308]: #298 [unit-resolution #312 #641 #138 #139 #140]: false unsat -faeea2438f581c39182be7618ceac231cf77a00a 59 0 +039d1a91fa0e9b73b0ec113d69ed107e23908fc9 59 0 #2 := false decl f1 :: S1 #3 := f1 @@ -12088,7 +11820,7 @@ #339 := [quant-inst #70]: #338 [unit-resolution #339 #673 #163]: false unsat -ed7e0385c3012dbbfdc71724063f8cbb116b4c06 394 0 +3b11a1f829f51a3781652bfbc9b85f31ff6693dd 394 0 #2 := false decl f3 :: (-> S2 S3 S4) decl f5 :: (-> S1 S3) diff -r acea12b85315 -r b1f4291eb916 src/HOL/SMT_Examples/SMT_Tests.certs --- a/src/HOL/SMT_Examples/SMT_Tests.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/SMT_Examples/SMT_Tests.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,4 +1,4 @@ -23fa46bae38100075457f16458b7f980b6e9eaaa 8 0 +23d01cdabb599769b54210e40617eea3d6c91e30 8 0 #2 := false #1 := true #7 := (not true) @@ -7,7 +7,7 @@ #28 := [asserted]: #7 [mp #28 #30]: false unsat -4867997399e05a82038d4f69182ea74d5c78a71f 16 0 +da9cf67daad06e6b55c8a58d39d168a3e68ef149 16 0 #2 := false #7 := (not false) #8 := (not #7) @@ -24,7 +24,7 @@ #29 := [asserted]: #8 [mp #29 #38]: false unsat -cf32c4bf044ef30ccaadb4c2a904bc42cc810589 21 0 +7a1bb52ecd7d9418dd685e581c967efeb26876f4 21 0 #2 := false #1 := true #7 := (not true) @@ -46,7 +46,7 @@ #30 := [asserted]: #9 [mp #30 #43]: false unsat -1ca76146d8caa3873d987c8f2b2b61e67bf99885 16 0 +6f92ca4f0e1770fcc8e653a3dc6a9a2100ac72fc 16 0 #2 := false #1 := true #7 := (and true true) @@ -63,7 +63,7 @@ #29 := [asserted]: #8 [mp #29 #38]: false unsat -6fe44a8c791d15e051ebac6bd54712b11019176f 16 0 +8bfe03ac24c5a99989017691842a79e88a05ac7c 16 0 #2 := false #1 := true #7 := (or true false) @@ -80,7 +80,7 @@ #29 := [asserted]: #8 [mp #29 #38]: false unsat -cd5b6483316374c04155ccdcb2bd4ec732d555bc 16 0 +5f12d6ee03b980092f8f61fd8d8cfd33a3a3aa1c 16 0 #2 := false #1 := true #7 := (implies false true) @@ -97,7 +97,7 @@ #29 := [asserted]: #8 [mp #29 #38]: false unsat -1d8b1fcc54699acf56c2f7bd752c247e433581cb 24 0 +b6f361c6fc132ef6bfb658932ab99e83188e4a5c 24 0 #2 := false #1 := true #7 := (iff false true) @@ -122,7 +122,7 @@ #30 := [asserted]: #9 [mp #30 #46]: false unsat -a659f050ece3306f2b1d4dcfecadbe7f96ac25b7 22 0 +22e23526a38d50ce23abbe4dbfb697891cbcd840 22 0 #2 := false decl f1 :: S1 #3 := f1 @@ -145,7 +145,7 @@ #32 := [asserted]: #11 [mp #32 #41]: false unsat -075ccbca5ef8abd85cfaedf1a7322d296271c46f 30 0 +902f835133cd6a5c2f7f8ebd7c78b25a41552b0b 30 0 #2 := false decl f1 :: S1 #3 := f1 @@ -176,7 +176,7 @@ #33 := [asserted]: #12 [mp #33 #49]: false unsat -aa0273c12559afb5fd359c235b02afbc8f3cc399 49 0 +e413d2599061059e7509241c4afb58a241792143 49 0 #2 := false decl f1 :: S1 #3 := f1 @@ -226,7 +226,7 @@ #36 := [asserted]: #15 [mp #36 #68]: false unsat -22c928dddd46280815470bda1451161b824f3f34 21 0 +59514aaeba28f26ae6e2aa6e362e2d1af4138910 21 0 #2 := false decl f1 :: S1 #3 := f1 @@ -248,7 +248,7 @@ #31 := [asserted]: #10 [mp #31 #40]: false unsat -eb161eaf2af208e84d9da7d647585602865b89ac 30 0 +3c237c6663696e3e9e3813b33e057fd540002911 30 0 #2 := false decl f1 :: S1 #3 := f1 @@ -279,7 +279,7 @@ #33 := [asserted]: #12 [mp #33 #49]: false unsat -b2602e0e3e3911fa8042ad9ddbc6f102e48e88f7 48 0 +67a6978ea29dd08617f96b717aa6e108001ae5f6 48 0 #2 := false decl f1 :: S1 #3 := f1 @@ -328,7 +328,7 @@ #48 := [not-or-elim #45]: #47 [mp #48 #69]: false unsat -467aa750a0af9865e5bc1b47f63cfc13f031554b 48 0 +f82a7c681aece7ed4681eb3d1ac78d727ad5a702 48 0 #2 := false decl f1 :: S1 #3 := f1 @@ -377,7 +377,7 @@ #52 := [not-or-elim #51]: #11 [mp #52 #72]: false unsat -ff06b47195393e825a3f80a82c50109ac3e8bd12 46 0 +fb29bce93621dffd68841a1b3fb5a13d0bf5c688 46 0 #2 := false decl f1 :: S1 #3 := f1 @@ -424,7 +424,7 @@ #56 := [not-or-elim #51]: #55 [mp #56 #72]: false unsat -a9e6ae903779155c6cefbf205c225628953e624e 35 0 +4bc7626ad30ca8d1808bcd7007aadf7e3808f557 35 0 #2 := false decl f1 :: S1 #3 := f1 @@ -460,7 +460,7 @@ #36 := [asserted]: #15 [mp #36 #53]: false unsat -fb622d34475687ad69de4f4faf6a2f3bed3d41ba 35 0 +9765f42e1923ee1286e51e6aaa01fea0147bcc3c 35 0 #2 := false decl f1 :: S1 #3 := f1 @@ -496,7 +496,7 @@ #36 := [asserted]: #15 [mp #36 #53]: false unsat -53094a0b951afe51834bc943782c2a61c91fc254 29 0 +53caf383c23c48b243dad428460d0b2bad5eb2a7 29 0 #2 := false decl f1 :: S1 #3 := f1 @@ -526,7 +526,7 @@ #46 := [and-elim #44]: #8 [mp #46 #52]: false unsat -380c58b7f01c4eb6d1f5b709fb3a647172217808 29 0 +8a6cff36c5c734fbecce18e7f0b86cdc4b398c76 29 0 #2 := false decl f1 :: S1 #3 := f1 @@ -556,7 +556,7 @@ #47 := [and-elim #44]: #8 [mp #47 #52]: false unsat -bfe8aa961b370c267ecd388cc5b7c835a7cfadff 31 0 +8ed51fcc2c7a7fe92c740f362b331dc69282b7f4 31 0 #2 := false decl f1 :: S1 #3 := f1 @@ -588,7 +588,7 @@ #44 := [mp #38 #41]: #40 [mp #44 #45]: false unsat -f98cd324a1d939c466a676264b34fe6330962e34 53 0 +40fc055a5f5aa6bfe535236f4ab4452ddc7101b7 53 0 #2 := false decl f1 :: S1 #3 := f1 @@ -642,7 +642,7 @@ #39 := [asserted]: #18 [mp #39 #70]: false unsat -8a92c826e93199f25eaea9a9d8eb4b750d4ce618 68 0 +2a514d849c826c123fb15c9d79d484f526c07958 68 0 #2 := false decl f1 :: S1 #3 := f1 @@ -711,7 +711,7 @@ #67 := [not-or-elim #66]: #47 [mp #67 #91]: false unsat -fc4b5f359a07a487172052f71a085a338dacb4ab 80 0 +e0b09cf8a39c11d9d4bee6ec1a6a5b93b2257b06 80 0 #2 := false decl f1 :: S1 #3 := f1 @@ -792,7 +792,7 @@ #105 := [unit-resolution #91 #104]: #16 [unit-resolution #76 #105 #103]: false unsat -a7b9e3e37b2bf7cfdd0c93de11378292f7f169f7 82 0 +32f6ddd6b17440644504f27b6be1cc3c71634e05 82 0 #2 := false decl f1 :: S1 #3 := f1 @@ -875,7 +875,7 @@ #61 := [not-or-elim #56]: #60 [mp #61 #102]: false unsat -fbfd7f42f20fd17af6ee42b17ec7a0dc3c529924 81 0 +822dd2da88addcc306ac946c913fcb511aa60583 81 0 #2 := false decl f1 :: S1 #3 := f1 @@ -957,7 +957,7 @@ #58 := [and-elim #57]: #11 [mp #58 #103]: false unsat -e8a50c44ee4032088b7ba718bb04f0f679fca9de 83 0 +8cc97fc7cc00db3ed62df1f9aee16d60ca0091ad 83 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1041,7 +1041,7 @@ #108 := [unit-resolution #88 #107]: #56 [unit-resolution #67 #108 #106]: false unsat -7e6dd7d516e726860ffc428f31cde1cf481b2e62 55 0 +52fb5169edaf3c81cfc25b6a7116b0b55c8a28c3 55 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1097,7 +1097,7 @@ #65 := [not-or-elim #67]: #8 [unit-resolution #65 #62]: false unsat -a3a59727086c9b1cf17547c43bc0b367753da6a2 129 0 +dd980002bd81efbda187ebb6bc06f50928195b21 129 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1227,7 +1227,7 @@ #148 := [unit-resolution #109 #147]: #16 [unit-resolution #118 #148 #146 #138]: false unsat -286bd8b6cdfa66f845900e18ef113ce800adfe6f 87 0 +642785ae09fc22b58f15d1ae19762bba0657cc2e 87 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1315,7 +1315,7 @@ #77 := [mp #39 #76]: #72 [mp #77 #106]: false unsat -161dd0114051200a7ffcef5c767f1dd1f3eb1d26 172 0 +3cb22aa5593767652961218f5ced2beb102ad8c3 172 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1488,7 +1488,7 @@ #125 := [mp #115 #135]: #70 [mp #125 #192]: false unsat -4b04cbf4156c7db75a1cf1b753251a6923a9c62d 107 0 +2a741b287996e3d5a24eaaf5674ca253bbcd8ef7 107 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1596,7 +1596,7 @@ #97 := [not-or-elim #92]: #59 [mp #97 #127]: false unsat -4ede140945dac021e73f57bd5aabbe283e3ec513 136 0 +e5df9c3ac788514d2b7d8d9dabf4974cdc46f887 136 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1733,7 +1733,7 @@ #98 := [def-axiom]: #97 [unit-resolution #98 #155 #153]: false unsat -a1bd5a7826fb084e07c1ba646f5039bc9faf9bf8 43 0 +2b64d751f48e9ffd90426fd6834e1d0739b8d27d 43 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1777,7 +1777,7 @@ #34 := [asserted]: #13 [mp #34 #61]: false unsat -3050918d31c36048af6e7954efb4023260756a72 120 0 +b8e0ff6234cf196c70abfdfcc191c52116ff14bf 120 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1898,7 +1898,7 @@ #101 := [not-or-elim #100]: #81 [mp #101 #142]: false unsat -419cf0503137091c5bc92af96aa593cffd70f2cf 94 0 +8a8c56cbbacd73dc988b4e0a6095fc9e6705a6a6 94 0 #2 := false decl f1 :: S1 #3 := f1 @@ -1993,7 +1993,7 @@ #86 := [not-or-elim #85]: #66 [mp #86 #116]: false unsat -2da11420e5b99236635a72b7c77f978d01d57534 112 0 +58f02564c26046ffbbf0af2951cd5b2669f92e0c 112 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2106,7 +2106,7 @@ #81 := [not-or-elim #83]: #64 [mp #81 #135]: false unsat -05cf053531ebb482bce7d481dd6a6d959ba6e021 67 0 +a7f6ab6ad332f5aded5b2efbf0f5616121d36767 67 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2174,7 +2174,7 @@ #65 := [not-or-elim #64]: #38 [mp #65 #90]: false unsat -ffac54a02f0c200516a317aa5c330cf1c35aa36e 94 0 +96fa7a8ac0c9f92be5ba4897a13fe923e953299b 94 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2269,7 +2269,7 @@ #86 := [not-or-elim #85]: #66 [mp #86 #116]: false unsat -7a1f8b0dc0880c922314ec30bd73e7304dc52ec4 65 0 +470cd9c1962b0613b02378d77ef88475d95420b4 65 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2335,7 +2335,7 @@ #70 := [unit-resolution #72 #77]: #73 [unit-resolution #70 #85 #84]: false unsat -d8026f1269406972caa34c57a14a407df7dff9ee 67 0 +3583d404baf1a70621bef42b341cd5ed7f857304 67 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2403,7 +2403,7 @@ #55 := [def-axiom]: #54 [unit-resolution #55 #87 #86 #81]: false unsat -3363d204e860e90fc7410c9b98599a08737e98bf 30 0 +25b6de20c7289df4e64dbeeda9c253f854a640a3 30 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2434,7 +2434,7 @@ #33 := [asserted]: #12 [mp #33 #49]: false unsat -307fe479d3024f1d782f30fc995cff7558bffef8 68 0 +6c7aa77a3e726f6965e1c58daf22b14f9c6eacb5 68 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2503,7 +2503,7 @@ #70 := [def-axiom]: #69 [unit-resolution #70 #88 #87 #85]: false unsat -8cebbbdf59241f53ca8f7ba4ba97c397eebb23a4 64 0 +ee2587d9af24c00533fd6cc57d8b9c430858d515 64 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2568,7 +2568,7 @@ #39 := [asserted]: #18 [mp #39 #83]: false unsat -7065d1b00bad74db5477c46f555fb695c1bbcb2b 121 0 +37203ec99bf7e03cbb0be72ecadd1ceb545297a3 121 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2690,7 +2690,7 @@ #92 := [def-axiom]: #91 [unit-resolution #92 #140 #138]: false unsat -aac8bd622b8d3f29643acf747f849dbeac65edf3 50 0 +ca9aa750ee4c38be0511c4f7f0526ad22c26b354 50 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2741,7 +2741,7 @@ #82 := [unit-resolution #73 #52]: #81 [unit-resolution #82 #80 #79]: false unsat -627c25c71422f379340a41c5a2991827f13b6eeb 108 0 +22136385e4a040042c56d71f978a5676aac282d0 108 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2850,7 +2850,7 @@ #73 := [def-axiom]: #72 [unit-resolution #73 #126 #125 #123]: false unsat -a8caac95ba6f91aa44f76da5a19b4261970d10e2 126 0 +042cd6410e2120e0a1d26569b905b9483437aab5 126 0 #2 := false decl f1 :: S1 #3 := f1 @@ -2977,7 +2977,7 @@ #93 := [def-axiom]: #92 [unit-resolution #93 #144 #143 #141]: false unsat -addce7e2dc4a26b8ce7ed621258f4ce1254da3f8 144 0 +ef537e4da9516844ed6fad53f93372fb0890ad4d 144 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3122,7 +3122,7 @@ #105 := [def-axiom]: #104 [unit-resolution #105 #164 #162 #154]: false unsat -3805a38de71c30eca319b0409c21700a7cb06990 22 0 +78c572bbf37fdaeffbdf327837dfe6e150ab4121 22 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3145,7 +3145,7 @@ #32 := [asserted]: #11 [mp #32 #41]: false unsat -10863ac83131ef76f72a772c8cf85cc3dc6dde68 22 0 +7bfe3d6a8ddb1e5cf6b5e7e7e25b7bb8d3947426 22 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3168,7 +3168,7 @@ #32 := [asserted]: #11 [mp #32 #41]: false unsat -07351d51d95fc2b79e016724eb51f565136165bb 18 0 +36cacffa0b357a87bd4cda01a469de9e5b1b6ff9 18 0 #2 := false decl f3 :: S2 #7 := f3 @@ -3187,7 +3187,7 @@ #30 := [asserted]: #9 [mp #30 #39]: false unsat -560c329fd96a3052b170500832713e5713a0d957 28 0 +fdbd50a73d75354218917a033ec85c8b60aadac7 28 0 #2 := false decl f3 :: S2 #7 := f3 @@ -3216,7 +3216,7 @@ #44 := [not-or-elim #43]: #42 [unit-resolution #44 #50]: false unsat -0ea41c66095cc88193b1f1c4879ce9546452087f 34 0 +1e7092f06fe51080cd1f2ff9c767c120dee0f325 34 0 #2 := false decl f5 :: S2 #10 := f5 @@ -3251,7 +3251,7 @@ #49 := [not-or-elim #46]: #48 [unit-resolution #49 #57]: false unsat -aa496f11d9d656ea523f5c18607a0927eb3d7a4a 27 0 +dcb560c85ca9bae67a2cc2056cbff42277192208 27 0 #2 := false decl f5 :: (-> S2 S2) decl f4 :: S2 @@ -3279,7 +3279,7 @@ #46 := [not-or-elim #45]: #44 [unit-resolution #46 #54]: false unsat -8b4dbc6c33c1705fe009e2d7608ca932d6b53399 31 0 +b268f4bef33523b0e58fb79bfaa877e0377ed0fe 31 0 #2 := false decl f5 :: (-> S2 S2 S3) decl f3 :: S2 @@ -3311,7 +3311,7 @@ #46 := [not-or-elim #45]: #44 [unit-resolution #46 #52]: false unsat -45c0bd6cde55221dd5a9503ffdc9267b7373c6c9 44 0 +c15ed7f86c495f57e47ba25cbe1dd59e25e6cfd8 44 0 #2 := false decl f4 :: S2 #7 := f4 @@ -3356,7 +3356,7 @@ #52 := [not-or-elim #49]: #51 [unit-resolution #52 #66]: false unsat -25a1abffb915b82d17c18374398b74c5d385ed65 137 0 +e014a521ad8c0c3dc3dc83f7de12a8ea100eaf98 137 0 #2 := false decl f6 :: S2 #12 := f6 @@ -3494,7 +3494,7 @@ #150 := [unit-resolution #115 #149]: #58 [unit-resolution #150 #157]: false unsat -67737c4b09a83cd04939395b326a7d8f955a194d 25 0 +991ba005efd39f0b714631fc764d551ecd33f6bf 25 0 #2 := false #7 := (:var 0 S2) #8 := (= #7 #7) @@ -3520,7 +3520,7 @@ #31 := [asserted]: #10 [mp #31 #47]: false unsat -46c9d6a29d282ccf0878986fd29578adc8a38dd4 23 0 +10c5b2de1ef268e3092f5c3c42ead76ab232f440 23 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3544,7 +3544,7 @@ #33 := [asserted]: #12 [mp #33 #42]: false unsat -5ba00f30800797eb07b09f84e102de0c826f49ed 67 0 +3f5721f2d9a816052aac390d06514062d4ac382d 67 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3612,7 +3612,7 @@ #83 := [and-elim #82]: #57 [unit-resolution #83 #90]: false unsat -c2ff93c1c8c2d33d86971297c56d2ab2a9dc9fb6 235 0 +700a60c41d4e55e179e3bc8ce3a6f9ff4e4e4db4 235 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3848,7 +3848,7 @@ #581 := [quant-inst #87]: #580 [unit-resolution #581 #307 #576]: false unsat -5190783c8781fcea24c1c610b455b71cf0eb75c2 145 0 +77c37fe7fae5071b8918f3ac6af902a7b756b568 145 0 #2 := false decl f1 :: S1 #3 := f1 @@ -3994,198 +3994,7 @@ #209 := [quant-inst #72]: #208 [unit-resolution #209 #567 #222]: false unsat -53f53012b8ceb61c467342994ec79dc318df7837 189 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 -decl f3 :: (-> S2 S1) -decl ?v0!1 :: S2 -#75 := ?v0!1 -#76 := (f3 ?v0!1) -#77 := (= #76 f1) -#114 := (not #77) -decl ?v0!0 :: S2 -#47 := ?v0!0 -#48 := (f3 ?v0!0) -#49 := (= #48 f1) -#50 := (not #49) -#538 := [hypothesis]: #50 -#7 := (:var 0 S2) -#8 := (f3 #7) -#552 := (pattern #8) -#9 := (= #8 f1) -#553 := (forall (vars (?v0 S2)) (:pat #552) #9) -decl f4 :: S1 -#11 := f4 -#12 := (= f4 f1) -#54 := (not #12) -#558 := (not #553) -#561 := (or #558 #54) -#564 := (not #561) -#102 := (not #9) -#103 := (or #102 #54) -#104 := (not #103) -#567 := (forall (vars (?v0 S2)) (:pat #552) #104) -#213 := (not #567) -#57 := (or #50 #54) -decl elem!2 :: S2 -#228 := elem!2 -#546 := (f3 elem!2) -#214 := (= #546 f1) -#548 := (not #214) -#549 := (or #548 #54) -#540 := (not #549) -#550 := [hypothesis]: #567 -#545 := (or #213 #540) -#551 := [quant-inst #228]: #545 -#534 := [unit-resolution #551 #550]: #540 -#205 := (or #549 #12) -#542 := [def-axiom]: #205 -#171 := [unit-resolution #542 #534]: #12 -#115 := (or #114 #54) -#116 := (not #115) -#532 := (or #116 #213) -#547 := [hypothesis]: #115 -#185 := (or #213 #116) -#527 := [quant-inst #75]: #185 -#531 := [unit-resolution #527 #550 #547]: false -#533 := [lemma #531]: #532 -#526 := [unit-resolution #533 #550]: #116 -#189 := (or #115 #77) -#190 := [def-axiom]: #189 -#233 := [unit-resolution #190 #526]: #77 -#129 := (or #50 #114 #54) -#78 := (and #77 #12) -#79 := (not #78) -#91 := (or #50 #54 #79) -#132 := (iff #91 #129) -#126 := (or #50 #54 #115) -#130 := (iff #126 #129) -#131 := [rewrite]: #130 -#127 := (iff #91 #126) -#124 := (iff #79 #115) -#119 := (not #116) -#122 := (iff #119 #115) -#123 := [rewrite]: #122 -#120 := (iff #79 #119) -#117 := (iff #78 #116) -#118 := [rewrite]: #117 -#121 := [monotonicity #118]: #120 -#125 := [trans #121 #123]: #124 -#128 := [monotonicity #125]: #127 -#133 := [trans #128 #131]: #132 -#14 := (and #9 #12) -#15 := (forall (vars (?v0 S2)) #14) -#10 := (forall (vars (?v0 S2)) #9) -#13 := (and #10 #12) -#84 := (or #13 #15) -#94 := (and #84 #91) -#83 := (or #57 #79) -#85 := (and #84 #83) -#95 := (iff #85 #94) -#92 := (iff #83 #91) -#93 := [rewrite]: #92 -#96 := [monotonicity #93]: #95 -#23 := (not #13) -#24 := (iff #23 #15) -#86 := (~ #24 #85) -#80 := (not #15) -#81 := (~ #80 #79) -#82 := [sk]: #81 -#73 := (~ #15 #15) -#71 := (~ #14 #14) -#72 := [refl]: #71 -#74 := [nnf-pos #72]: #73 -#68 := (not #23) -#69 := (~ #68 #13) -#66 := (~ #13 #13) -#64 := (~ #12 #12) -#65 := [refl]: #64 -#62 := (~ #10 #10) -#60 := (~ #9 #9) -#61 := [refl]: #60 -#63 := [nnf-pos #61]: #62 -#67 := [monotonicity #63 #65]: #66 -#70 := [nnf-neg #67]: #69 -#58 := (~ #23 #57) -#55 := (~ #54 #54) -#56 := [refl]: #55 -#51 := (not #10) -#52 := (~ #51 #50) -#53 := [sk]: #52 -#59 := [nnf-neg #53 #56]: #58 -#87 := [nnf-pos #59 #70 #74 #82]: #86 -#16 := (iff #13 #15) -#17 := (not #16) -#25 := (iff #17 #24) -#26 := [rewrite]: #25 -#19 := [asserted]: #17 -#27 := [mp #19 #26]: #24 -#88 := [mp~ #27 #87]: #85 -#89 := [mp #88 #96]: #94 -#97 := [and-elim #89]: #91 -#134 := [mp #97 #133]: #129 -#248 := [unit-resolution #134 #233 #171]: #50 -#176 := (or #57 #49) -#177 := [def-axiom]: #176 -#249 := [unit-resolution #177 #248]: #57 -#528 := (not #57) -#535 := (or #213 #528) -#537 := [quant-inst #47]: #535 -#250 := [unit-resolution #537 #550 #249]: false -#251 := [lemma #250]: #213 -#572 := (or #564 #567) -#107 := (forall (vars (?v0 S2)) #104) -#98 := (or #51 #54) -#99 := (not #98) -#110 := (or #99 #107) -#573 := (iff #110 #572) -#570 := (iff #107 #567) -#568 := (iff #104 #104) -#569 := [refl]: #568 -#571 := [quant-intro #569]: #570 -#565 := (iff #99 #564) -#562 := (iff #98 #561) -#559 := (iff #51 #558) -#556 := (iff #10 #553) -#554 := (iff #9 #9) -#555 := [refl]: #554 -#557 := [quant-intro #555]: #556 -#560 := [monotonicity #557]: #559 -#563 := [monotonicity #560]: #562 -#566 := [monotonicity #563]: #565 -#574 := [monotonicity #566 #571]: #573 -#111 := (iff #84 #110) -#108 := (iff #15 #107) -#105 := (iff #14 #104) -#106 := [rewrite]: #105 -#109 := [quant-intro #106]: #108 -#100 := (iff #13 #99) -#101 := [rewrite]: #100 -#112 := [monotonicity #101 #109]: #111 -#90 := [and-elim #89]: #84 -#113 := [mp #90 #112]: #110 -#575 := [mp #113 #574]: #572 -#536 := [unit-resolution #575 #251]: #564 -#135 := (or #561 #553) -#222 := [def-axiom]: #135 -#143 := [unit-resolution #222 #536]: #553 -#539 := (or #558 #49) -#525 := [quant-inst #47]: #539 -#521 := [unit-resolution #525 #143 #538]: false -#522 := [lemma #521]: #49 -#245 := (or #50 #114) -#136 := (or #561 #12) -#223 := [def-axiom]: #136 -#244 := [unit-resolution #223 #536]: #12 -#520 := [unit-resolution #134 #244]: #245 -#524 := [unit-resolution #520 #522]: #114 -#519 := (or #558 #77) -#523 := [quant-inst #75]: #519 -[unit-resolution #523 #143 #524]: false -40817fbcafdc8d21718702405c773ccd33ea7f23 34 0 -unsat +1936a8c3d8900c4f3411f9f65f9183a1e77d9f6e 34 0 #2 := false decl f1 :: S1 #3 := f1 @@ -4201,26 +4010,26 @@ #11 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S2)) #10) #16 := (iff #11 #15) #17 := (not #16) -#36 := (iff #17 false) -#1 := true -#31 := (not true) -#34 := (iff #31 false) -#35 := [rewrite]: #34 -#32 := (iff #17 #31) -#29 := (iff #16 true) -#24 := (iff #15 #15) -#27 := (iff #24 true) -#28 := [rewrite]: #27 -#25 := (iff #16 #24) -#23 := [elim-unused]: #16 -#26 := [monotonicity #23]: #25 -#30 := [trans #26 #28]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#19 := [asserted]: #17 -[mp #19 #37]: false -259e8b1baa5df2fdd772840446c5eb3162d97d06 95 0 -unsat +#52 := (iff #17 false) +#1 := true +#47 := (not true) +#50 := (iff #47 false) +#51 := [rewrite]: #50 +#48 := (iff #17 #47) +#45 := (iff #16 true) +#40 := (iff #15 #15) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#41 := (iff #16 #40) +#39 := [elim-unused]: #16 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 +#38 := [asserted]: #17 +[mp #38 #53]: false +unsat +0be5cd612b1c80ec2188777514a42f95d455ac60 103 0 #2 := false decl f1 :: S1 #3 := f1 @@ -4229,94 +4038,102 @@ #15 := f4 decl f5 :: S2 #19 := f5 -#174 := (f3 f5 f4) -#90 := (= #174 f1) -#175 := (not #90) +#241 := (f3 f5 f4) +#156 := (= #241 f1) +#242 := (not #156) #20 := (f3 f4 f5) #21 := (= #20 f1) -#56 := (not #21) +#80 := (not #21) #8 := (:var 0 S2) #16 := (f3 #8 f4) #17 := (= #16 f1) #18 := (forall (vars (?v0 S2)) #17) -#37 := (not #18) +#53 := (not #18) #7 := (:var 1 S2) #11 := (f3 #8 #7) #12 := (= #11 f1) #9 := (f3 #7 #8) #10 := (= #9 f1) -#30 := (not #10) -#31 := (or #30 #12) -#34 := (forall (vars (?v0 S2) (?v1 S2)) #31) -#44 := (not #34) -#45 := (or #44 #37 #21) -#50 := (not #45) +#46 := (not #10) +#47 := (or #46 #12) +#50 := (forall (vars (?v0 S2) (?v1 S2)) #47) +#60 := (not #50) +#69 := (or #60 #53 #21) +#72 := (not #69) #22 := (implies #18 #21) #13 := (implies #10 #12) #14 := (forall (vars (?v0 S2) (?v1 S2)) #13) #23 := (implies #14 #22) #24 := (not #23) -#51 := (iff #24 #50) -#48 := (iff #23 #45) -#38 := (or #37 #21) -#41 := (implies #34 #38) -#46 := (iff #41 #45) -#47 := [rewrite]: #46 -#42 := (iff #23 #41) -#39 := (iff #22 #38) -#40 := [rewrite]: #39 -#35 := (iff #14 #34) -#32 := (iff #13 #31) -#33 := [rewrite]: #32 -#36 := [quant-intro #33]: #35 -#43 := [monotonicity #36 #40]: #42 -#49 := [trans #43 #47]: #48 -#52 := [monotonicity #49]: #51 -#26 := [asserted]: #24 -#53 := [mp #26 #52]: #50 -#57 := [not-or-elim #53]: #56 -#505 := (pattern #11) -#504 := (pattern #9) -#506 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #504 #505) #31) -#509 := (iff #34 #506) -#507 := (iff #31 #31) -#508 := [refl]: #507 -#510 := [quant-intro #508]: #509 -#81 := (~ #34 #34) -#83 := (~ #31 #31) -#84 := [refl]: #83 -#82 := [nnf-pos #84]: #81 -#54 := [not-or-elim #53]: #34 -#79 := [mp~ #54 #82]: #34 -#511 := [mp #79 #510]: #506 -#178 := (not #506) -#179 := (or #178 #175 #21) -#87 := (or #175 #21) -#180 := (or #178 #87) -#181 := (iff #180 #179) -#160 := [rewrite]: #181 -#177 := [quant-inst #19 #15]: #180 -#496 := [mp #177 #160]: #179 -#176 := [unit-resolution #496 #511 #57]: #175 -#512 := (pattern #16) -#513 := (forall (vars (?v0 S2)) (:pat #512) #17) -#516 := (iff #18 #513) -#514 := (iff #17 #17) -#515 := [refl]: #514 -#517 := [quant-intro #515]: #516 -#78 := (~ #18 #18) -#80 := (~ #17 #17) -#77 := [refl]: #80 -#85 := [nnf-pos #77]: #78 -#55 := [not-or-elim #53]: #18 -#86 := [mp~ #55 #85]: #18 -#518 := [mp #86 #517]: #513 -#498 := (not #513) -#154 := (or #498 #90) -#285 := [quant-inst #19]: #154 -[unit-resolution #285 #518 #176]: false -44a8a010d20c75dbd110b4ba979d4cfad7872b87 101 0 -unsat +#75 := (iff #24 #72) +#54 := (or #53 #21) +#61 := (or #60 #54) +#66 := (not #61) +#73 := (iff #66 #72) +#70 := (iff #61 #69) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#67 := (iff #24 #66) +#64 := (iff #23 #61) +#57 := (implies #50 #54) +#62 := (iff #57 #61) +#63 := [rewrite]: #62 +#58 := (iff #23 #57) +#55 := (iff #22 #54) +#56 := [rewrite]: #55 +#51 := (iff #14 #50) +#48 := (iff #13 #47) +#49 := [rewrite]: #48 +#52 := [quant-intro #49]: #51 +#59 := [monotonicity #52 #56]: #58 +#65 := [trans #59 #63]: #64 +#68 := [monotonicity #65]: #67 +#76 := [trans #68 #74]: #75 +#45 := [asserted]: #24 +#77 := [mp #45 #76]: #72 +#81 := [not-or-elim #77]: #80 +#572 := (pattern #11) +#571 := (pattern #9) +#573 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #571 #572) #47) +#576 := (iff #50 #573) +#574 := (iff #47 #47) +#575 := [refl]: #574 +#577 := [quant-intro #575]: #576 +#93 := (~ #50 #50) +#91 := (~ #47 #47) +#92 := [refl]: #91 +#94 := [nnf-pos #92]: #93 +#78 := [not-or-elim #77]: #50 +#83 := [mp~ #78 #94]: #50 +#578 := [mp #83 #577]: #573 +#245 := (not #573) +#246 := (or #245 #242 #21) +#157 := (or #242 #21) +#247 := (or #245 #157) +#248 := (iff #247 #246) +#227 := [rewrite]: #248 +#244 := [quant-inst #19 #15]: #247 +#563 := [mp #244 #227]: #246 +#243 := [unit-resolution #563 #578 #81]: #242 +#579 := (pattern #16) +#580 := (forall (vars (?v0 S2)) (:pat #579) #17) +#583 := (iff #18 #580) +#581 := (iff #17 #17) +#582 := [refl]: #581 +#584 := [quant-intro #582]: #583 +#85 := (~ #18 #18) +#84 := (~ #17 #17) +#95 := [refl]: #84 +#86 := [nnf-pos #95]: #85 +#79 := [not-or-elim #77]: #18 +#96 := [mp~ #79 #86]: #18 +#585 := [mp #96 #584]: #580 +#565 := (not #580) +#221 := (or #565 #156) +#352 := [quant-inst #19]: #221 +[unit-resolution #352 #585 #243]: false +unsat +ac63a8f94b83c505b675b60053e9418e47f3332d 101 0 #2 := false decl f1 :: S1 #3 := f1 @@ -4328,10 +4145,10 @@ #10 := f5 #20 := (f4 f5 f6) #21 := (f4 f5 #20) -#173 := (f3 #21) -#493 := (= #173 f1) -#171 := (f3 #20) -#79 := (= #171 f1) +#232 := (f3 #21) +#552 := (= #232 f1) +#230 := (f3 #20) +#145 := (= #230 f1) #17 := (f3 f6) #18 := (= #17 f1) #7 := (:var 0 S2) @@ -4340,85 +4157,85 @@ #13 := (= #12 f1) #8 := (f3 #7) #9 := (= #8 f1) -#32 := (not #9) -#33 := (or #32 #13) -#36 := (forall (vars (?v0 S2)) #33) -#39 := (and #36 #18) +#48 := (not #9) +#49 := (or #48 #13) +#52 := (forall (vars (?v0 S2)) #49) +#55 := (and #52 #18) #22 := (f4 f5 #21) #23 := (f3 #22) #24 := (= #23 f1) -#45 := (not #39) -#46 := (or #45 #24) -#51 := (not #46) +#61 := (not #55) +#62 := (or #61 #24) +#67 := (not #62) #14 := (implies #9 #13) #15 := (forall (vars (?v0 S2)) #14) #19 := (and #15 #18) #25 := (implies #19 #24) #26 := (not #25) -#52 := (iff #26 #51) -#49 := (iff #25 #46) -#42 := (implies #39 #24) -#47 := (iff #42 #46) -#48 := [rewrite]: #47 -#43 := (iff #25 #42) -#40 := (iff #19 #39) -#37 := (iff #15 #36) -#34 := (iff #14 #33) -#35 := [rewrite]: #34 -#38 := [quant-intro #35]: #37 -#41 := [monotonicity #38]: #40 -#44 := [monotonicity #41]: #43 -#50 := [trans #44 #48]: #49 -#53 := [monotonicity #50]: #52 -#28 := [asserted]: #26 -#54 := [mp #28 #53]: #51 -#55 := [not-or-elim #54]: #39 -#57 := [and-elim #55]: #18 -#501 := (pattern #11) -#502 := (forall (vars (?v0 S2)) (:pat #501) #33) -#505 := (iff #36 #502) -#503 := (iff #33 #33) -#504 := [refl]: #503 -#506 := [quant-intro #504]: #505 -#81 := (~ #36 #36) -#83 := (~ #33 #33) -#84 := [refl]: #83 -#82 := [nnf-pos #84]: #81 -#56 := [and-elim #55]: #36 -#85 := [mp~ #56 #82]: #36 -#507 := [mp #85 #506]: #502 -#86 := (not #18) -#164 := (not #502) -#175 := (or #164 #86 #79) -#172 := (or #86 #79) -#176 := (or #164 #172) -#174 := (iff #176 #175) -#178 := [rewrite]: #174 -#177 := [quant-inst #16]: #176 -#157 := [mp #177 #178]: #175 -#499 := [unit-resolution #157 #507 #57]: #79 -#80 := (not #79) -#489 := (or #164 #80 #493) -#495 := (or #80 #493) -#162 := (or #164 #495) -#496 := (iff #162 #489) -#497 := [rewrite]: #496 -#163 := [quant-inst #20]: #162 -#498 := [mp #163 #497]: #489 -#494 := [unit-resolution #498 #507 #499]: #493 -#58 := (not #24) -#59 := [not-or-elim #54]: #58 -#151 := (not #493) -#500 := (or #164 #151 #24) -#282 := (or #151 #24) -#490 := (or #164 #282) -#154 := (iff #490 #500) -#491 := [rewrite]: #154 -#149 := [quant-inst #21]: #490 -#150 := [mp #149 #491]: #500 -[unit-resolution #150 #507 #59 #494]: false -60e1704ec347155327350daf08c9fa7301bbf00c 64 0 -unsat +#68 := (iff #26 #67) +#65 := (iff #25 #62) +#58 := (implies #55 #24) +#63 := (iff #58 #62) +#64 := [rewrite]: #63 +#59 := (iff #25 #58) +#56 := (iff #19 #55) +#53 := (iff #15 #52) +#50 := (iff #14 #49) +#51 := [rewrite]: #50 +#54 := [quant-intro #51]: #53 +#57 := [monotonicity #54]: #56 +#60 := [monotonicity #57]: #59 +#66 := [trans #60 #64]: #65 +#69 := [monotonicity #66]: #68 +#47 := [asserted]: #26 +#72 := [mp #47 #69]: #67 +#70 := [not-or-elim #72]: #55 +#73 := [and-elim #70]: #18 +#560 := (pattern #11) +#561 := (forall (vars (?v0 S2)) (:pat #560) #49) +#564 := (iff #52 #561) +#562 := (iff #49 #49) +#563 := [refl]: #562 +#565 := [quant-intro #563]: #564 +#87 := (~ #52 #52) +#85 := (~ #49 #49) +#86 := [refl]: #85 +#88 := [nnf-pos #86]: #87 +#71 := [and-elim #70]: #52 +#77 := [mp~ #71 #88]: #52 +#566 := [mp #77 #565]: #561 +#144 := (not #18) +#223 := (not #561) +#234 := (or #223 #144 #145) +#231 := (or #144 #145) +#235 := (or #223 #231) +#233 := (iff #235 #234) +#237 := [rewrite]: #233 +#236 := [quant-inst #16]: #235 +#216 := [mp #236 #237]: #234 +#558 := [unit-resolution #216 #566 #73]: #145 +#146 := (not #145) +#548 := (or #223 #146 #552) +#554 := (or #146 #552) +#221 := (or #223 #554) +#555 := (iff #221 #548) +#556 := [rewrite]: #555 +#222 := [quant-inst #20]: #221 +#557 := [mp #222 #556]: #548 +#553 := [unit-resolution #557 #566 #558]: #552 +#74 := (not #24) +#75 := [not-or-elim #72]: #74 +#210 := (not #552) +#559 := (or #223 #210 #24) +#341 := (or #210 #24) +#549 := (or #223 #341) +#213 := (iff #549 #559) +#550 := [rewrite]: #213 +#208 := [quant-inst #21]: #549 +#209 := [mp #208 #550]: #559 +[unit-resolution #209 #566 #75 #553]: false +unsat +f1a3aeaad9840f61d284b110db9d2ac5a6976876 64 0 #2 := false decl f3 :: (-> S2 S2 S3) decl f4 :: S2 @@ -4428,62 +4245,62 @@ #17 := (f3 f5 f4) #16 := (f3 f4 f5) #18 := (= #16 #17) -#50 := (not #18) +#65 := (not #18) #7 := (:var 1 S2) #8 := (:var 0 S2) #10 := (f3 #8 #7) #9 := (f3 #7 #8) #11 := (= #9 #10) #12 := (forall (vars (?v0 S2) (?v1 S2)) #11) -#39 := (not #12) -#40 := (or #39 #18) -#45 := (not #40) +#55 := (not #12) +#56 := (or #55 #18) +#61 := (not #56) #14 := (= f4 f4) #19 := (and #14 #18) #20 := (implies #12 #19) #21 := (not #20) -#46 := (iff #21 #45) -#43 := (iff #20 #40) -#36 := (implies #12 #18) -#41 := (iff #36 #40) -#42 := [rewrite]: #41 -#37 := (iff #20 #36) -#34 := (iff #19 #18) -#1 := true -#29 := (and true #18) -#32 := (iff #29 #18) -#33 := [rewrite]: #32 -#30 := (iff #19 #29) -#27 := (iff #14 true) -#28 := [rewrite]: #27 -#31 := [monotonicity #28]: #30 -#35 := [trans #31 #33]: #34 -#38 := [monotonicity #35]: #37 -#44 := [trans #38 #42]: #43 +#62 := (iff #21 #61) +#59 := (iff #20 #56) +#52 := (implies #12 #18) +#57 := (iff #52 #56) +#58 := [rewrite]: #57 +#53 := (iff #20 #52) +#50 := (iff #19 #18) +#1 := true +#45 := (and true #18) +#48 := (iff #45 #18) +#49 := [rewrite]: #48 +#46 := (iff #19 #45) +#43 := (iff #14 true) +#44 := [rewrite]: #43 #47 := [monotonicity #44]: #46 -#23 := [asserted]: #21 -#48 := [mp #23 #47]: #45 -#51 := [not-or-elim #48]: #50 -#494 := (pattern #10) -#493 := (pattern #9) -#495 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #493 #494) #11) -#498 := (iff #12 #495) -#496 := (iff #11 #11) -#497 := [refl]: #496 -#499 := [quant-intro #497]: #498 -#73 := (~ #12 #12) -#71 := (~ #11 #11) -#72 := [refl]: #71 -#74 := [nnf-pos #72]: #73 -#49 := [not-or-elim #48]: #12 -#75 := [mp~ #49 #74]: #12 -#500 := [mp #75 #499]: #495 -#79 := (not #495) -#164 := (or #79 #18) -#76 := [quant-inst #13 #15]: #164 -[unit-resolution #76 #500 #51]: false -03e5c09109dcecda750af8f377268d580b063674 175 0 -unsat +#51 := [trans #47 #49]: #50 +#54 := [monotonicity #51]: #53 +#60 := [trans #54 #58]: #59 +#63 := [monotonicity #60]: #62 +#42 := [asserted]: #21 +#66 := [mp #42 #63]: #61 +#67 := [not-or-elim #66]: #65 +#553 := (pattern #10) +#552 := (pattern #9) +#554 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #552 #553) #11) +#557 := (iff #12 #554) +#555 := (iff #11 #11) +#556 := [refl]: #555 +#558 := [quant-intro #556]: #557 +#77 := (~ #12 #12) +#75 := (~ #11 #11) +#76 := [refl]: #75 +#78 := [nnf-pos #76]: #77 +#64 := [not-or-elim #66]: #12 +#69 := [mp~ #64 #78]: #12 +#559 := [mp #69 #558]: #554 +#137 := (not #554) +#223 := (or #137 #18) +#138 := [quant-inst #13 #15]: #223 +[unit-resolution #138 #559 #67]: false +unsat +c37af3173480108eddc4b3a3068306cd906ea03a 203 0 #2 := false decl f1 :: S1 #3 := f1 @@ -4494,9 +4311,9 @@ #25 := (= #24 f1) decl f5 :: S2 #14 := f5 -#152 := (f3 f5) -#240 := (= #152 f1) -#154 := (not #240) +#240 := (f3 f5) +#327 := (= #240 f1) +#242 := (not #327) decl f4 :: (-> S2 S1) #15 := (f4 f5) #16 := (= #15 f1) @@ -4512,17 +4329,17 @@ #11 := (= #10 f1) #18 := (not #11) #20 := (and #18 #19) -#47 := (not #20) -#48 := (or #47 #23 #25) -#51 := (forall (vars (?v0 S2)) #48) -#41 := (or #19 #11) -#44 := (forall (vars (?v0 S2)) #41) -#60 := (and #44 #17 #51) +#63 := (not #20) +#88 := (or #63 #23 #25) +#91 := (forall (vars (?v0 S2)) #88) +#57 := (or #19 #11) +#60 := (forall (vars (?v0 S2)) #57) +#100 := (and #60 #17 #91) #31 := (f4 f7) #32 := (= #31 f1) -#68 := (not #60) -#69 := (or #68 #23 #32) -#74 := (not #69) +#105 := (not #100) +#111 := (or #105 #23 #32) +#116 := (not #111) #33 := (or #23 #32) #26 := (or #23 #25) #27 := (implies #20 #26) @@ -4533,159 +4350,189 @@ #30 := (and #13 #29) #34 := (implies #30 #33) #35 := (not #34) -#75 := (iff #35 #74) -#72 := (iff #34 #69) -#65 := (implies #60 #33) -#70 := (iff #65 #69) -#71 := [rewrite]: #70 -#66 := (iff #34 #65) -#63 := (iff #30 #60) -#54 := (and #17 #51) -#57 := (and #44 #54) -#61 := (iff #57 #60) -#62 := [rewrite]: #61 -#58 := (iff #30 #57) -#55 := (iff #29 #54) -#52 := (iff #28 #51) -#49 := (iff #27 #48) -#50 := [rewrite]: #49 -#53 := [quant-intro #50]: #52 -#56 := [monotonicity #53]: #55 -#45 := (iff #13 #44) -#42 := (iff #12 #41) -#43 := [rewrite]: #42 -#46 := [quant-intro #43]: #45 -#59 := [monotonicity #46 #56]: #58 -#64 := [trans #59 #62]: #63 -#67 := [monotonicity #64]: #66 -#73 := [trans #67 #71]: #72 -#76 := [monotonicity #73]: #75 -#37 := [asserted]: #35 -#77 := [mp #37 #76]: #74 -#78 := [not-or-elim #77]: #60 -#80 := [and-elim #78]: #17 -#570 := (pattern #10) -#569 := (pattern #8) -#571 := (forall (vars (?v0 S2)) (:pat #569 #570) #41) -#574 := (iff #44 #571) -#572 := (iff #41 #41) -#573 := [refl]: #572 -#575 := [quant-intro #573]: #574 -#121 := (~ #44 #44) -#107 := (~ #41 #41) -#108 := [refl]: #107 -#122 := [nnf-pos #108]: #121 -#79 := [and-elim #78]: #44 -#125 := [mp~ #79 #122]: #44 -#576 := [mp #125 #575]: #571 -#244 := (not #571) -#245 := (or #244 #154 #16) -#241 := (or #154 #16) -#242 := (or #244 #241) -#225 := (iff #242 #245) -#561 := [rewrite]: #225 -#246 := [quant-inst #14]: #242 -#563 := [mp #246 #561]: #245 -#567 := [unit-resolution #563 #576 #80]: #154 -#143 := (or #11 #9 #25) -#577 := (forall (vars (?v0 S2)) (:pat #570 #569) #143) -#148 := (forall (vars (?v0 S2)) #143) -#580 := (iff #148 #577) -#578 := (iff #143 #143) -#579 := [refl]: #578 -#581 := [quant-intro #579]: #580 -#112 := (or #47 #25) -#117 := (forall (vars (?v0 S2)) #112) -#149 := (iff #117 #148) -#146 := (iff #112 #143) -#129 := (or #11 #9) -#140 := (or #129 #25) -#144 := (iff #140 #143) -#145 := [rewrite]: #144 -#141 := (iff #112 #140) -#138 := (iff #47 #129) -#130 := (not #129) -#133 := (not #130) -#136 := (iff #133 #129) -#137 := [rewrite]: #136 -#134 := (iff #47 #133) -#131 := (iff #20 #130) -#132 := [rewrite]: #131 -#135 := [monotonicity #132]: #134 -#139 := [trans #135 #137]: #138 -#142 := [monotonicity #139]: #141 -#147 := [trans #142 #145]: #146 -#150 := [quant-intro #147]: #149 -#126 := (~ #117 #117) -#124 := (~ #112 #112) -#127 := [refl]: #124 -#123 := [nnf-pos #127]: #126 -#118 := (iff #51 #117) -#115 := (iff #48 #112) -#113 := (or #47 false #25) -#109 := (iff #113 #112) -#110 := [rewrite]: #109 -#114 := (iff #48 #113) -#105 := (iff #23 false) -#82 := (not #23) -#83 := [not-or-elim #77]: #82 -#106 := [iff-false #83]: #105 -#111 := [monotonicity #106]: #114 -#116 := [trans #111 #110]: #115 -#119 := [quant-intro #116]: #118 -#81 := [and-elim #78]: #51 -#120 := [mp #81 #119]: #117 -#128 := [mp~ #120 #123]: #117 -#151 := [mp #128 #150]: #148 -#582 := [mp #151 #581]: #577 -#350 := (not #577) -#557 := (or #350 #16 #240 #25) -#232 := (or #16 #240 #25) -#230 := (or #350 #232) -#564 := (iff #230 #557) -#565 := [rewrite]: #564 -#231 := [quant-inst #14]: #230 -#566 := [mp #231 #565]: #557 -#562 := [unit-resolution #566 #80 #582 #567]: #25 -#84 := (not #32) -#85 := [not-or-elim #77]: #84 -#243 := (not #25) -#568 := (or #244 #243 #32) -#219 := (or #243 #32) -#558 := (or #244 #219) -#222 := (iff #558 #568) -#559 := [rewrite]: #222 -#217 := [quant-inst #21]: #558 -#218 := [mp #217 #559]: #568 -[unit-resolution #218 #576 #85 #562]: false -dad47c0dccdde5aaf69b20f49e2beb333b7d1c8d 25 0 -unsat +#119 := (iff #35 #116) +#64 := (or #63 #26) +#67 := (forall (vars (?v0 S2)) #64) +#70 := (and #17 #67) +#73 := (and #60 #70) +#79 := (not #73) +#80 := (or #79 #33) +#85 := (not #80) +#117 := (iff #85 #116) +#114 := (iff #80 #111) +#108 := (or #105 #33) +#112 := (iff #108 #111) +#113 := [rewrite]: #112 +#109 := (iff #80 #108) +#106 := (iff #79 #105) +#103 := (iff #73 #100) +#94 := (and #17 #91) +#97 := (and #60 #94) +#101 := (iff #97 #100) +#102 := [rewrite]: #101 +#98 := (iff #73 #97) +#95 := (iff #70 #94) +#92 := (iff #67 #91) +#89 := (iff #64 #88) +#90 := [rewrite]: #89 +#93 := [quant-intro #90]: #92 +#96 := [monotonicity #93]: #95 +#99 := [monotonicity #96]: #98 +#104 := [trans #99 #102]: #103 +#107 := [monotonicity #104]: #106 +#110 := [monotonicity #107]: #109 +#115 := [trans #110 #113]: #114 +#118 := [monotonicity #115]: #117 +#86 := (iff #35 #85) +#83 := (iff #34 #80) +#76 := (implies #73 #33) +#81 := (iff #76 #80) +#82 := [rewrite]: #81 +#77 := (iff #34 #76) +#74 := (iff #30 #73) +#71 := (iff #29 #70) +#68 := (iff #28 #67) +#65 := (iff #27 #64) +#66 := [rewrite]: #65 +#69 := [quant-intro #66]: #68 +#72 := [monotonicity #69]: #71 +#61 := (iff #13 #60) +#58 := (iff #12 #57) +#59 := [rewrite]: #58 +#62 := [quant-intro #59]: #61 +#75 := [monotonicity #62 #72]: #74 +#78 := [monotonicity #75]: #77 +#84 := [trans #78 #82]: #83 +#87 := [monotonicity #84]: #86 +#120 := [trans #87 #118]: #119 +#56 := [asserted]: #35 +#121 := [mp #56 #120]: #116 +#122 := [not-or-elim #121]: #100 +#124 := [and-elim #122]: #17 +#657 := (pattern #10) +#656 := (pattern #8) +#658 := (forall (vars (?v0 S2)) (:pat #656 #657) #57) +#661 := (iff #60 #658) +#659 := (iff #57 #57) +#660 := [refl]: #659 +#662 := [quant-intro #660]: #661 +#138 := (~ #60 #60) +#141 := (~ #57 #57) +#142 := [refl]: #141 +#154 := [nnf-pos #142]: #138 +#123 := [and-elim #122]: #60 +#135 := [mp~ #123 #154]: #60 +#663 := [mp #135 #662]: #658 +#331 := (not #658) +#332 := (or #331 #242 #16) +#328 := (or #242 #16) +#329 := (or #331 #328) +#312 := (iff #329 #332) +#648 := [rewrite]: #312 +#333 := [quant-inst #14]: #329 +#650 := [mp #333 #648]: #332 +#654 := [unit-resolution #650 #663 #124]: #242 +#169 := (or #11 #9 #25) +#664 := (forall (vars (?v0 S2)) (:pat #657 #656) #169) +#174 := (forall (vars (?v0 S2)) #169) +#667 := (iff #174 #664) +#665 := (iff #169 #169) +#666 := [refl]: #665 +#668 := [quant-intro #666]: #667 +#146 := (or #63 #25) +#151 := (forall (vars (?v0 S2)) #146) +#175 := (iff #151 #174) +#172 := (iff #146 #169) +#155 := (or #11 #9) +#166 := (or #155 #25) +#170 := (iff #166 #169) +#171 := [rewrite]: #170 +#167 := (iff #146 #166) +#164 := (iff #63 #155) +#156 := (not #155) +#159 := (not #156) +#162 := (iff #159 #155) +#163 := [rewrite]: #162 +#160 := (iff #63 #159) +#157 := (iff #20 #156) +#158 := [rewrite]: #157 +#161 := [monotonicity #158]: #160 +#165 := [trans #161 #163]: #164 +#168 := [monotonicity #165]: #167 +#173 := [trans #168 #171]: #172 +#176 := [quant-intro #173]: #175 +#134 := (~ #151 #151) +#136 := (~ #146 #146) +#133 := [refl]: #136 +#131 := [nnf-pos #133]: #134 +#152 := (iff #91 #151) +#149 := (iff #88 #146) +#143 := (or #63 false #25) +#147 := (iff #143 #146) +#148 := [rewrite]: #147 +#144 := (iff #88 #143) +#139 := (iff #23 false) +#126 := (not #23) +#127 := [not-or-elim #121]: #126 +#140 := [iff-false #127]: #139 +#145 := [monotonicity #140]: #144 +#150 := [trans #145 #148]: #149 +#153 := [quant-intro #150]: #152 +#125 := [and-elim #122]: #91 +#137 := [mp #125 #153]: #151 +#132 := [mp~ #137 #131]: #151 +#177 := [mp #132 #176]: #174 +#669 := [mp #177 #668]: #664 +#437 := (not #664) +#644 := (or #437 #16 #327 #25) +#319 := (or #16 #327 #25) +#317 := (or #437 #319) +#651 := (iff #317 #644) +#652 := [rewrite]: #651 +#318 := [quant-inst #14]: #317 +#653 := [mp #318 #652]: #644 +#649 := [unit-resolution #653 #124 #669 #654]: #25 +#128 := (not #32) +#129 := [not-or-elim #121]: #128 +#330 := (not #25) +#655 := (or #331 #330 #32) +#306 := (or #330 #32) +#645 := (or #331 #306) +#309 := (iff #645 #655) +#646 := [rewrite]: #309 +#304 := [quant-inst #21]: #645 +#305 := [mp #304 #646]: #655 +[unit-resolution #305 #663 #129 #649]: false +unsat +19990be1db50e963aafcc1c9ab3bda9712fc1797 1 0 +unsat +1cfdaf7cf1764c12b112c06ca51a00830c6fcdde 25 0 #2 := false #7 := (:var 0 S2) #8 := (= #7 #7) #9 := (exists (vars (?v0 S2)) #8) #10 := (not #9) -#30 := (iff #10 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #10 #25) -#23 := (iff #9 true) -#18 := (exists (vars (?v0 S2)) true) -#21 := (iff #18 true) -#22 := [elim-unused]: #21 -#19 := (iff #9 #18) -#16 := (iff #8 true) -#17 := [rewrite]: #16 -#20 := [quant-intro #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#12 := [asserted]: #10 -[mp #12 #31]: false -fc36fcb821679c8080c506c122956d27caba0078 23 0 -unsat +#46 := (iff #10 false) +#1 := true +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #10 #41) +#39 := (iff #9 true) +#34 := (exists (vars (?v0 S2)) true) +#37 := (iff #34 true) +#38 := [elim-unused]: #37 +#35 := (iff #9 #34) +#32 := (iff #8 true) +#33 := [rewrite]: #32 +#36 := [quant-intro #33]: #35 +#40 := [trans #36 #38]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#31 := [asserted]: #10 +[mp #31 #47]: false +unsat +983e6603d4caff6f91195b6f7c23c1ebf8889f75 23 0 #2 := false decl f1 :: S1 #3 := f1 @@ -4696,400 +4543,400 @@ #10 := (exists (vars (?v0 S2)) #9) #11 := (iff #10 #10) #12 := (not #11) -#25 := (iff #12 false) -#1 := true -#20 := (not true) -#23 := (iff #20 false) -#24 := [rewrite]: #23 -#21 := (iff #12 #20) -#18 := (iff #11 true) -#19 := [rewrite]: #18 -#22 := [monotonicity #19]: #21 -#26 := [trans #22 #24]: #25 -#14 := [asserted]: #12 -[mp #14 #26]: false -7ef14cc2eb8981200f35e7bb0dd9d8dc37927aaa 205 0 -unsat +#41 := (iff #12 false) +#1 := true +#36 := (not true) +#39 := (iff #36 false) +#40 := [rewrite]: #39 +#37 := (iff #12 #36) +#34 := (iff #11 true) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#33 := [asserted]: #12 +[mp #33 #42]: false +unsat +a5805ee4c963267c1bf8cb35e86d5702ad58f164 205 0 #2 := false decl f4 :: (-> S2 S1) #7 := (:var 0 S2) #10 := (f4 #7) -#539 := (pattern #10) +#600 := (pattern #10) decl f1 :: S1 #3 := f1 #11 := (= #10 f1) -#85 := (not #11) -#553 := (forall (vars (?v0 S2)) (:pat #539) #85) -#558 := (not #553) +#55 := (not #11) +#614 := (forall (vars (?v0 S2)) (:pat #600) #55) +#619 := (not #614) decl f3 :: (-> S2 S1) #8 := (f3 #7) -#538 := (pattern #8) +#599 := (pattern #8) #9 := (= #8 f1) -#78 := (not #9) -#545 := (forall (vars (?v0 S2)) (:pat #538) #78) -#550 := (not #545) -#561 := (or #550 #558) -#564 := (not #561) +#50 := (not #9) +#606 := (forall (vars (?v0 S2)) (:pat #599) #50) +#611 := (not #606) +#622 := (or #611 #619) +#625 := (not #622) #12 := (or #9 #11) -#48 := (not #12) -#540 := (forall (vars (?v0 S2)) (:pat #538 #539) #48) -#214 := (not #540) +#96 := (not #12) +#601 := (forall (vars (?v0 S2)) (:pat #599 #600) #96) +#275 := (not #601) +decl ?v0!1 :: S2 +#73 := ?v0!1 +#74 := (f4 ?v0!1) +#75 := (= #74 f1) +#579 := (f3 ?v0!1) +#580 := (= #579 f1) +#575 := (or #580 #75) decl ?v0!2 :: S2 -#70 := ?v0!2 -#71 := (f4 ?v0!2) -#72 := (= #71 f1) -#518 := (f3 ?v0!2) -#519 := (= #518 f1) -#514 := (or #519 #72) +#83 := ?v0!2 +#86 := (f4 ?v0!2) +#87 := (= #86 f1) +#249 := (not #87) +#84 := (f3 ?v0!2) +#85 := (= #84 f1) +#88 := (or #85 #87) +#262 := (not #88) +#274 := [hypothesis]: #601 +#595 := (or #262 #275) +#273 := [hypothesis]: #88 +#272 := (or #275 #262) +#276 := [quant-inst #83]: #272 +#594 := [unit-resolution #276 #274 #273]: false +#596 := [lemma #594]: #595 +#218 := [unit-resolution #596 #274]: #262 +#380 := (or #88 #249) +#587 := [def-axiom]: #380 +#582 := [unit-resolution #587 #218]: #249 +#255 := (not #85) +#591 := (or #88 #255) +#593 := [def-axiom]: #591 +#296 := [unit-resolution #593 #218]: #255 decl ?v0!0 :: S2 -#54 := ?v0!0 -#57 := (f4 ?v0!0) -#58 := (= #57 f1) -#188 := (not #58) -#55 := (f3 ?v0!0) -#56 := (= #55 f1) -#59 := (or #56 #58) -#201 := (not #59) -#213 := [hypothesis]: #540 -#534 := (or #201 #214) -#212 := [hypothesis]: #59 -#211 := (or #214 #201) -#215 := [quant-inst #54]: #211 -#533 := [unit-resolution #215 #213 #212]: false -#535 := [lemma #533]: #534 -#157 := [unit-resolution #535 #213]: #201 -#319 := (or #59 #188) -#526 := [def-axiom]: #319 -#521 := [unit-resolution #526 #157]: #188 -#194 := (not #56) -#530 := (or #59 #194) -#532 := [def-axiom]: #530 -#235 := [unit-resolution #532 #157]: #194 -decl ?v0!1 :: S2 -#65 := ?v0!1 -#66 := (f3 ?v0!1) -#67 := (= #66 f1) -#529 := (not #67) -#536 := (f4 ?v0!1) -#531 := (= #536 f1) -#537 := (or #67 #531) -#527 := (not #537) -#516 := (or #527 #214) -#186 := [hypothesis]: #537 -#528 := (or #214 #527) -#187 := [quant-inst #65]: #528 -#191 := [unit-resolution #187 #213 #186]: false -#517 := [lemma #191]: #516 -#236 := [unit-resolution #517 #213]: #527 -#171 := (or #537 #529) -#513 := [def-axiom]: #171 -#237 := [unit-resolution #513 #236]: #529 -#104 := (or #56 #58 #67 #72) -#88 := (forall (vars (?v0 S2)) #85) -#81 := (forall (vars (?v0 S2)) #78) -#92 := (and #81 #88) -#51 := (forall (vars (?v0 S2)) #48) -#96 := (or #51 #92) -#107 := (and #104 #96) -#75 := (or #67 #72) -#97 := (or #59 #75) -#98 := (and #97 #96) -#108 := (iff #98 #107) -#105 := (iff #97 #104) -#106 := [rewrite]: #105 -#109 := [monotonicity #106]: #108 +#66 := ?v0!0 +#67 := (f3 ?v0!0) +#68 := (= #67 f1) +#590 := (not #68) +#597 := (f4 ?v0!0) +#592 := (= #597 f1) +#598 := (or #68 #592) +#588 := (not #598) +#577 := (or #588 #275) +#247 := [hypothesis]: #598 +#589 := (or #275 #588) +#248 := [quant-inst #66]: #589 +#252 := [unit-resolution #248 #274 #247]: false +#578 := [lemma #252]: #577 +#297 := [unit-resolution #578 #274]: #588 +#232 := (or #598 #590) +#574 := [def-axiom]: #232 +#298 := [unit-resolution #574 #297]: #590 +#110 := (or #85 #87 #68 #75) +#58 := (forall (vars (?v0 S2)) #55) +#53 := (forall (vars (?v0 S2)) #50) +#62 := (and #53 #58) +#99 := (forall (vars (?v0 S2)) #96) +#102 := (or #99 #62) +#113 := (and #110 #102) +#80 := (or #68 #75) +#103 := (or #88 #80) +#104 := (and #103 #102) +#114 := (iff #104 #113) +#111 := (iff #103 #110) +#112 := [rewrite]: #111 +#115 := [monotonicity #112]: #114 #15 := (exists (vars (?v0 S2)) #11) #14 := (exists (vars (?v0 S2)) #9) #16 := (or #14 #15) #13 := (exists (vars (?v0 S2)) #12) -#24 := (not #13) -#25 := (iff #24 #16) -#99 := (~ #25 #98) -#93 := (not #16) -#94 := (~ #93 #92) -#89 := (not #15) -#90 := (~ #89 #88) -#86 := (~ #85 #85) -#87 := [refl]: #86 -#91 := [nnf-neg #87]: #90 -#82 := (not #14) -#83 := (~ #82 #81) -#79 := (~ #78 #78) -#80 := [refl]: #79 -#84 := [nnf-neg #80]: #83 -#95 := [nnf-neg #84 #91]: #94 -#76 := (~ #16 #75) -#73 := (~ #15 #72) -#74 := [sk]: #73 -#68 := (~ #14 #67) -#69 := [sk]: #68 -#77 := [monotonicity #69 #74]: #76 -#62 := (not #24) -#63 := (~ #62 #59) -#60 := (~ #13 #59) -#61 := [sk]: #60 -#64 := [nnf-neg #61]: #63 -#52 := (~ #24 #51) -#49 := (~ #48 #48) -#50 := [refl]: #49 -#53 := [nnf-neg #50]: #52 -#100 := [nnf-pos #53 #64 #77 #95]: #99 +#40 := (not #13) +#41 := (iff #40 #16) +#105 := (~ #41 #104) +#81 := (~ #16 #80) +#76 := (~ #15 #75) +#77 := [sk]: #76 +#69 := (~ #14 #68) +#70 := [sk]: #69 +#82 := [monotonicity #70 #77]: #81 +#63 := (not #16) +#64 := (~ #63 #62) +#59 := (not #15) +#60 := (~ #59 #58) +#56 := (~ #55 #55) +#57 := [refl]: #56 +#61 := [nnf-neg #57]: #60 +#45 := (not #14) +#47 := (~ #45 #53) +#51 := (~ #50 #50) +#52 := [refl]: #51 +#54 := [nnf-neg #52]: #47 +#65 := [nnf-neg #54 #61]: #64 +#100 := (~ #40 #99) +#97 := (~ #96 #96) +#98 := [refl]: #97 +#101 := [nnf-neg #98]: #100 +#93 := (not #40) +#94 := (~ #93 #88) +#89 := (~ #13 #88) +#90 := [sk]: #89 +#95 := [nnf-neg #90]: #94 +#106 := [nnf-pos #95 #101 #65 #82]: #105 #17 := (iff #13 #16) #18 := (not #17) -#26 := (iff #18 #25) -#27 := [rewrite]: #26 -#20 := [asserted]: #18 -#28 := [mp #20 #27]: #25 -#101 := [mp~ #28 #100]: #98 -#102 := [mp #101 #109]: #107 -#103 := [and-elim #102]: #104 -#129 := [unit-resolution #103 #237 #235 #521]: #72 -#525 := (not #72) -#511 := (or #514 #525) -#512 := [def-axiom]: #511 -#507 := [unit-resolution #512 #129]: #514 -#520 := (not #514) -#523 := (or #214 #520) -#162 := [quant-inst #70]: #523 -#508 := [unit-resolution #162 #213 #507]: false -#230 := [lemma #508]: #214 -#567 := (or #540 #564) -#112 := (not #88) -#111 := (not #81) -#113 := (or #111 #112) -#114 := (not #113) -#117 := (or #51 #114) -#568 := (iff #117 #567) -#565 := (iff #114 #564) -#562 := (iff #113 #561) -#559 := (iff #112 #558) -#556 := (iff #88 #553) -#554 := (iff #85 #85) -#555 := [refl]: #554 -#557 := [quant-intro #555]: #556 -#560 := [monotonicity #557]: #559 -#551 := (iff #111 #550) -#548 := (iff #81 #545) -#546 := (iff #78 #78) -#547 := [refl]: #546 -#549 := [quant-intro #547]: #548 -#552 := [monotonicity #549]: #551 -#563 := [monotonicity #552 #560]: #562 -#566 := [monotonicity #563]: #565 -#543 := (iff #51 #540) -#541 := (iff #48 #48) -#542 := [refl]: #541 -#544 := [quant-intro #542]: #543 -#569 := [monotonicity #544 #566]: #568 -#118 := (iff #96 #117) -#115 := (iff #92 #114) -#116 := [rewrite]: #115 -#119 := [monotonicity #116]: #118 -#110 := [and-elim #102]: #96 -#120 := [mp #110 #119]: #117 -#570 := [mp #120 #569]: #567 -#163 := [unit-resolution #570 #230]: #564 -#122 := (or #561 #553) -#209 := [def-axiom]: #122 -#222 := [unit-resolution #209 #163]: #553 -#121 := (or #561 #545) -#208 := [def-axiom]: #121 -#524 := [unit-resolution #208 #163]: #545 -#509 := [hypothesis]: #67 -#510 := (or #550 #529) -#220 := [quant-inst #65]: #510 -#506 := [unit-resolution #220 #509 #524]: false -#221 := [lemma #506]: #529 -#234 := [hypothesis]: #56 -#522 := (or #550 #194) -#219 := [quant-inst #54]: #522 -#231 := [unit-resolution #219 #234 #524]: false -#505 := [lemma #231]: #194 -#223 := [hypothesis]: #58 -#501 := (or #558 #188) -#502 := [quant-inst #54]: #501 -#216 := [unit-resolution #502 #223 #222]: false -#499 := [lemma #216]: #188 -#503 := [unit-resolution #103 #499 #505 #221]: #72 -#504 := (or #558 #525) -#493 := [quant-inst #70]: #504 -[unit-resolution #493 #503 #222]: false -971101afe4e49303a8bf2ce8173c0b2d6a20580f 173 0 -unsat +#42 := (iff #18 #41) +#43 := [rewrite]: #42 +#39 := [asserted]: #18 +#46 := [mp #39 #43]: #41 +#107 := [mp~ #46 #106]: #104 +#108 := [mp #107 #115]: #113 +#109 := [and-elim #108]: #110 +#191 := [unit-resolution #109 #298 #296 #582]: #75 +#586 := (not #75) +#572 := (or #575 #586) +#573 := [def-axiom]: #572 +#568 := [unit-resolution #573 #191]: #575 +#581 := (not #575) +#584 := (or #275 #581) +#223 := [quant-inst #73]: #584 +#569 := [unit-resolution #223 #274 #568]: false +#291 := [lemma #569]: #275 +#628 := (or #601 #625) +#72 := (not #58) +#71 := (not #53) +#91 := (or #71 #72) +#92 := (not #91) +#117 := (or #99 #92) +#629 := (iff #117 #628) +#626 := (iff #92 #625) +#623 := (iff #91 #622) +#620 := (iff #72 #619) +#617 := (iff #58 #614) +#615 := (iff #55 #55) +#616 := [refl]: #615 +#618 := [quant-intro #616]: #617 +#621 := [monotonicity #618]: #620 +#612 := (iff #71 #611) +#609 := (iff #53 #606) +#607 := (iff #50 #50) +#608 := [refl]: #607 +#610 := [quant-intro #608]: #609 +#613 := [monotonicity #610]: #612 +#624 := [monotonicity #613 #621]: #623 +#627 := [monotonicity #624]: #626 +#604 := (iff #99 #601) +#602 := (iff #96 #96) +#603 := [refl]: #602 +#605 := [quant-intro #603]: #604 +#630 := [monotonicity #605 #627]: #629 +#118 := (iff #102 #117) +#78 := (iff #62 #92) +#79 := [rewrite]: #78 +#119 := [monotonicity #79]: #118 +#116 := [and-elim #108]: #102 +#120 := [mp #116 #119]: #117 +#631 := [mp #120 #630]: #628 +#224 := [unit-resolution #631 #291]: #625 +#184 := (or #622 #614) +#270 := [def-axiom]: #184 +#283 := [unit-resolution #270 #224]: #614 +#183 := (or #622 #606) +#269 := [def-axiom]: #183 +#585 := [unit-resolution #269 #224]: #606 +#570 := [hypothesis]: #68 +#571 := (or #611 #590) +#281 := [quant-inst #66]: #571 +#567 := [unit-resolution #281 #570 #585]: false +#282 := [lemma #567]: #590 +#295 := [hypothesis]: #85 +#583 := (or #611 #255) +#280 := [quant-inst #83]: #583 +#292 := [unit-resolution #280 #295 #585]: false +#566 := [lemma #292]: #255 +#284 := [hypothesis]: #87 +#562 := (or #619 #249) +#563 := [quant-inst #83]: #562 +#277 := [unit-resolution #563 #284 #283]: false +#560 := [lemma #277]: #249 +#564 := [unit-resolution #109 #560 #566 #282]: #75 +#565 := (or #619 #586) +#554 := [quant-inst #73]: #565 +[unit-resolution #554 #564 #283]: false +unsat +15bd078d1caba7b30476b1f272408346e917c717 173 0 #2 := false decl f3 :: (-> S2 S1) #7 := (:var 0 S2) #8 := (f3 #7) -#550 := (pattern #8) +#611 := (pattern #8) decl f1 :: S1 #3 := f1 #9 := (= #8 f1) -#47 := (not #9) -#551 := (forall (vars (?v0 S2)) (:pat #550) #47) +#77 := (not #9) +#612 := (forall (vars (?v0 S2)) (:pat #611) #77) decl f4 :: S1 #11 := f4 #12 := (= f4 f1) -#54 := (not #12) -decl ?v0!0 :: S2 -#60 := ?v0!0 -#61 := (f3 ?v0!0) -#62 := (= #61 f1) -#101 := (not #62) -#102 := (or #101 #54) -#206 := [hypothesis]: #54 -#134 := (or #102 #12) -#221 := [def-axiom]: #134 -#542 := [unit-resolution #221 #206]: #102 +#84 := (not #12) decl ?v0!1 :: S2 -#73 := ?v0!1 -#74 := (f3 ?v0!1) -#75 := (= #74 f1) -#106 := (not #75) -#107 := (or #106 #54) -#225 := (or #107 #12) -#226 := [def-axiom]: #225 -#544 := [unit-resolution #226 #206]: #107 +#62 := ?v0!1 +#63 := (f3 ?v0!1) +#64 := (= #63 f1) +#67 := (not #64) +#68 := (or #67 #84) +#267 := [hypothesis]: #84 +#196 := (or #68 #12) +#282 := [def-axiom]: #196 +#603 := [unit-resolution #282 #267]: #68 +decl ?v0!0 :: S2 +#54 := ?v0!0 +#55 := (f3 ?v0!0) +#56 := (= #55 f1) +#106 := (not #56) +#107 := (or #106 #84) +#286 := (or #107 #12) +#287 := [def-axiom]: #286 +#605 := [unit-resolution #287 #267]: #107 #108 := (not #107) -#103 := (not #102) -#111 := (or #103 #108) -#76 := (and #75 #12) -#67 := (and #62 #12) -#87 := (or #67 #76) -#112 := (iff #87 #111) -#109 := (iff #76 #108) +#60 := (not #68) +#111 := (or #60 #108) +#57 := (and #56 #12) +#71 := (and #64 #12) +#91 := (or #71 #57) +#112 := (iff #91 #111) +#109 := (iff #57 #108) #110 := [rewrite]: #109 -#104 := (iff #67 #103) -#105 := [rewrite]: #104 +#61 := (iff #71 #60) +#105 := [rewrite]: #61 #113 := [monotonicity #105 #110]: #112 #14 := (and #9 #12) -#79 := (not #14) -#82 := (forall (vars (?v0 S2)) #79) -#50 := (forall (vars (?v0 S2)) #47) -#94 := (or #50 #54 #82) -#97 := (and #87 #94) -#57 := (or #50 #54) -#86 := (or #57 #82) -#88 := (and #87 #86) -#98 := (iff #88 #97) -#95 := (iff #86 #94) -#96 := [rewrite]: #95 -#99 := [monotonicity #96]: #98 +#49 := (not #14) +#52 := (forall (vars (?v0 S2)) #49) +#80 := (forall (vars (?v0 S2)) #77) +#98 := (or #80 #84 #52) +#101 := (and #91 #98) +#87 := (or #80 #84) +#90 := (or #87 #52) +#92 := (and #91 #90) +#102 := (iff #92 #101) +#99 := (iff #90 #98) +#100 := [rewrite]: #99 +#103 := [monotonicity #100]: #102 #15 := (exists (vars (?v0 S2)) #14) #10 := (exists (vars (?v0 S2)) #9) #13 := (and #10 #12) -#23 := (not #13) -#24 := (iff #23 #15) -#89 := (~ #24 #88) -#83 := (not #15) -#84 := (~ #83 #82) -#80 := (~ #79 #79) -#81 := [refl]: #80 -#85 := [nnf-neg #81]: #84 -#77 := (~ #15 #76) -#78 := [sk]: #77 -#70 := (not #23) -#71 := (~ #70 #67) -#68 := (~ #13 #67) -#65 := (~ #12 #12) -#66 := [refl]: #65 -#63 := (~ #10 #62) -#64 := [sk]: #63 -#69 := [monotonicity #64 #66]: #68 -#72 := [nnf-neg #69]: #71 -#58 := (~ #23 #57) -#55 := (~ #54 #54) -#56 := [refl]: #55 -#51 := (not #10) -#52 := (~ #51 #50) -#48 := (~ #47 #47) -#49 := [refl]: #48 -#53 := [nnf-neg #49]: #52 -#59 := [nnf-neg #53 #56]: #58 -#90 := [nnf-pos #59 #72 #78 #85]: #89 +#39 := (not #13) +#40 := (iff #39 #15) +#93 := (~ #40 #92) +#58 := (~ #15 #57) +#59 := [sk]: #58 +#44 := (not #15) +#46 := (~ #44 #52) +#50 := (~ #49 #49) +#51 := [refl]: #50 +#53 := [nnf-neg #51]: #46 +#88 := (~ #39 #87) +#85 := (~ #84 #84) +#86 := [refl]: #85 +#81 := (not #10) +#82 := (~ #81 #80) +#78 := (~ #77 #77) +#79 := [refl]: #78 +#83 := [nnf-neg #79]: #82 +#89 := [nnf-neg #83 #86]: #88 +#74 := (not #39) +#75 := (~ #74 #71) +#72 := (~ #13 #71) +#69 := (~ #12 #12) +#70 := [refl]: #69 +#65 := (~ #10 #64) +#66 := [sk]: #65 +#73 := [monotonicity #66 #70]: #72 +#76 := [nnf-neg #73]: #75 +#94 := [nnf-pos #76 #89 #53 #59]: #93 #16 := (iff #13 #15) #17 := (not #16) -#25 := (iff #17 #24) -#26 := [rewrite]: #25 -#19 := [asserted]: #17 -#27 := [mp #19 #26]: #24 -#91 := [mp~ #27 #90]: #88 -#92 := [mp #91 #99]: #97 -#93 := [and-elim #92]: #87 -#114 := [mp #93 #113]: #111 -#200 := [unit-resolution #114 #544 #542]: false -#331 := [lemma #200]: #12 -#115 := (or #47 #54) -#556 := (forall (vars (?v0 S2)) (:pat #550) #115) -#539 := (not #556) -#188 := [hypothesis]: #556 -#212 := (not #551) -#211 := [hypothesis]: #75 -#545 := (or #212 #106) -#538 := [hypothesis]: #551 -#546 := [quant-inst #73]: #545 -#547 := [unit-resolution #546 #211 #538]: false -#548 := [lemma #547]: #545 -#543 := [unit-resolution #548 #211]: #212 -#561 := (or #551 #54 #556) +#41 := (iff #17 #40) +#42 := [rewrite]: #41 +#38 := [asserted]: #17 +#45 := [mp #38 #42]: #40 +#95 := [mp~ #45 #94]: #92 +#96 := [mp #95 #103]: #101 +#97 := [and-elim #96]: #91 +#114 := [mp #97 #113]: #111 +#261 := [unit-resolution #114 #605 #603]: false +#392 := [lemma #261]: #12 +#115 := (or #77 #84) +#617 := (forall (vars (?v0 S2)) (:pat #611) #115) +#600 := (not #617) +#249 := [hypothesis]: #617 +#273 := (not #612) +#272 := [hypothesis]: #56 +#606 := (or #273 #106) +#599 := [hypothesis]: #612 +#607 := [quant-inst #54]: #606 +#608 := [unit-resolution #607 #272 #599]: false +#609 := [lemma #608]: #606 +#604 := [unit-resolution #609 #272]: #273 +#622 := (or #612 #84 #617) #126 := (forall (vars (?v0 S2)) #115) -#129 := (or #50 #54 #126) -#562 := (iff #129 #561) -#559 := (iff #126 #556) -#557 := (iff #115 #115) -#558 := [refl]: #557 -#560 := [quant-intro #558]: #559 -#554 := (iff #50 #551) -#552 := (iff #47 #47) -#553 := [refl]: #552 -#555 := [quant-intro #553]: #554 -#563 := [monotonicity #555 #560]: #562 -#130 := (iff #94 #129) -#127 := (iff #82 #126) -#124 := (iff #79 #115) +#129 := (or #80 #84 #126) +#623 := (iff #129 #622) +#620 := (iff #126 #617) +#618 := (iff #115 #115) +#619 := [refl]: #618 +#621 := [quant-intro #619]: #620 +#615 := (iff #80 #612) +#613 := (iff #77 #77) +#614 := [refl]: #613 +#616 := [quant-intro #614]: #615 +#624 := [monotonicity #616 #621]: #623 +#130 := (iff #98 #129) +#127 := (iff #52 #126) +#124 := (iff #49 #115) #116 := (not #115) #119 := (not #116) #122 := (iff #119 #115) #123 := [rewrite]: #122 -#120 := (iff #79 #119) +#120 := (iff #49 #119) #117 := (iff #14 #116) #118 := [rewrite]: #117 #121 := [monotonicity #118]: #120 #125 := [trans #121 #123]: #124 #128 := [quant-intro #125]: #127 #131 := [monotonicity #128]: #130 -#100 := [and-elim #92]: #94 -#132 := [mp #100 #131]: #129 -#564 := [mp #132 #563]: #561 -#549 := [unit-resolution #564 #543 #331]: #556 -#198 := (or #539 #106 #54) -#203 := (or #539 #107) -#199 := (iff #203 #198) -#541 := [rewrite]: #199 -#540 := [quant-inst #73]: #203 -#183 := [mp #540 #541]: #198 -#525 := [unit-resolution #183 #331 #211 #549]: false -#187 := [lemma #525]: #106 -#213 := (or #107 #75) -#224 := [def-axiom]: #213 -#189 := [unit-resolution #224 #187]: #107 -#526 := [unit-resolution #114 #189]: #103 -#133 := (or #102 #62) -#220 := [def-axiom]: #133 -#532 := [unit-resolution #220 #526]: #62 -#190 := (or #539 #101 #54) -#527 := (or #539 #102) -#529 := (iff #527 #190) -#530 := [rewrite]: #529 -#528 := [quant-inst #60]: #527 -#531 := [mp #528 #530]: #190 -#169 := [unit-resolution #531 #532 #331 #188]: false -#533 := [lemma #169]: #539 -#535 := [unit-resolution #564 #533 #331]: #551 -#175 := (or #212 #101) -#536 := [quant-inst #60]: #175 -[unit-resolution #536 #532 #535]: false -1ef8ef2e60d46143c5456e75da2d8083df054812 34 0 -unsat +#104 := [and-elim #96]: #98 +#132 := [mp #104 #131]: #129 +#625 := [mp #132 #624]: #622 +#610 := [unit-resolution #625 #604 #392]: #617 +#259 := (or #600 #106 #84) +#264 := (or #600 #107) +#260 := (iff #264 #259) +#602 := [rewrite]: #260 +#601 := [quant-inst #54]: #264 +#244 := [mp #601 #602]: #259 +#586 := [unit-resolution #244 #392 #272 #610]: false +#248 := [lemma #586]: #106 +#274 := (or #107 #56) +#285 := [def-axiom]: #274 +#250 := [unit-resolution #285 #248]: #107 +#587 := [unit-resolution #114 #250]: #60 +#195 := (or #68 #64) +#281 := [def-axiom]: #195 +#593 := [unit-resolution #281 #587]: #64 +#251 := (or #600 #67 #84) +#588 := (or #600 #68) +#590 := (iff #588 #251) +#591 := [rewrite]: #590 +#589 := [quant-inst #62]: #588 +#592 := [mp #589 #591]: #251 +#230 := [unit-resolution #592 #593 #392 #249]: false +#594 := [lemma #230]: #600 +#596 := [unit-resolution #625 #594 #392]: #612 +#236 := (or #273 #67) +#597 := [quant-inst #62]: #236 +[unit-resolution #597 #593 #596]: false +unsat +f04d5873e94a5aad7b78e98d30003072c55f70b2 34 0 #2 := false decl f1 :: S1 #3 := f1 @@ -5105,47 +4952,47 @@ #11 := (exists (vars (?v0 S2) (?v1 S3) (?v2 S4)) #10) #16 := (iff #11 #15) #17 := (not #16) -#36 := (iff #17 false) -#1 := true -#31 := (not true) -#34 := (iff #31 false) -#35 := [rewrite]: #34 -#32 := (iff #17 #31) -#29 := (iff #16 true) -#24 := (iff #15 #15) -#27 := (iff #24 true) -#28 := [rewrite]: #27 -#25 := (iff #16 #24) -#23 := [elim-unused]: #16 -#26 := [monotonicity #23]: #25 -#30 := [trans #26 #28]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#19 := [asserted]: #17 -[mp #19 #37]: false -1d545e5a8707fb488f0ac2e96346b291c3993c78 78 0 -unsat +#52 := (iff #17 false) +#1 := true +#47 := (not true) +#50 := (iff #47 false) +#51 := [rewrite]: #50 +#48 := (iff #17 #47) +#45 := (iff #16 true) +#40 := (iff #15 #15) +#43 := (iff #40 true) +#44 := [rewrite]: #43 +#41 := (iff #16 #40) +#39 := [elim-unused]: #16 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#49 := [monotonicity #46]: #48 +#53 := [trans #49 #51]: #52 +#38 := [asserted]: #17 +[mp #38 #53]: false +unsat +859cb38c5f32b7d6ba5f7cb98e20433a77c5ac6e 72 0 #2 := false decl f3 :: (-> S2 S1) #7 := (:var 0 S2) #8 := (f3 #7) -#515 := (pattern #8) +#568 := (pattern #8) decl f1 :: S1 #3 := f1 #9 := (= #8 f1) #10 := (not #9) -#516 := (forall (vars (?v0 S2)) (:pat #515) #10) -#94 := (forall (vars (?v0 S2)) #10) -#519 := (iff #94 #516) -#517 := (iff #10 #10) -#518 := [refl]: #517 -#520 := [quant-intro #518]: #519 +#569 := (forall (vars (?v0 S2)) (:pat #568) #10) +#84 := (forall (vars (?v0 S2)) #10) +#572 := (iff #84 #569) +#570 := (iff #10 #10) +#571 := [refl]: #570 +#573 := [quant-intro #571]: #572 #12 := (exists (vars (?v0 S2)) #9) #18 := (not #12) -#95 := (~ #18 #94) -#90 := (~ #10 #10) -#91 := [refl]: #90 -#96 := [nnf-neg #91]: #95 +#85 := (~ #18 #84) +#81 := (~ #10 #10) +#82 := [refl]: #81 +#88 := [nnf-neg #82]: #85 decl f4 :: (-> S2 S1) #13 := (f4 #7) #14 := (= #13 f1) @@ -5153,1047 +5000,325 @@ #16 := (exists (vars (?v0 S2)) #15) #17 := (or #12 #16) #11 := (exists (vars (?v0 S2)) #10) -#28 := (and #11 #17 #18) +#46 := (and #11 #17 #18) #19 := (and #17 #18) #20 := (and #11 #19) #21 := (not #20) #22 := (not #21) -#39 := (iff #22 #28) -#31 := (not #28) -#34 := (not #31) -#37 := (iff #34 #28) -#38 := [rewrite]: #37 -#35 := (iff #22 #34) -#32 := (iff #21 #31) -#29 := (iff #20 #28) -#30 := [rewrite]: #29 -#33 := [monotonicity #30]: #32 -#36 := [monotonicity #33]: #35 -#40 := [trans #36 #38]: #39 -#24 := [asserted]: #22 -#41 := [mp #24 #40]: #28 -#44 := [and-elim #41]: #18 -#97 := [mp~ #44 #96]: #94 -#521 := [mp #97 #520]: #516 +#49 := (iff #22 #46) +#47 := (iff #20 #46) +#48 := [rewrite]: #47 +#44 := (iff #22 #20) +#45 := [rewrite]: #44 +#50 := [trans #45 #48]: #49 +#43 := [asserted]: #22 +#51 := [mp #43 #50]: #46 +#54 := [and-elim #51]: #18 +#89 := [mp~ #54 #88]: #84 +#574 := [mp #89 #573]: #569 decl ?v0!1 :: S2 -#81 := ?v0!1 -#82 := (f3 ?v0!1) -#83 := (= #82 f1) -#84 := (f4 ?v0!1) -#85 := (= #84 f1) -#86 := (and #83 #85) -#87 := (~ #16 #86) -#88 := [sk]: #87 +#72 := ?v0!1 +#73 := (f3 ?v0!1) +#75 := (= #73 f1) +#76 := (f4 ?v0!1) +#77 := (= #76 f1) +#78 := (and #75 #77) +#79 := (~ #16 #78) +#80 := [sk]: #79 #69 := (iff #17 #16) #64 := (or false #16) -#71 := (iff #64 #16) -#68 := [rewrite]: #71 +#67 := (iff #64 #16) +#68 := [rewrite]: #67 #65 := (iff #17 #64) -#66 := (iff #12 false) -#67 := [iff-false #44]: #66 -#70 := [monotonicity #67]: #65 -#72 := [trans #70 #68]: #69 -#43 := [and-elim #41]: #17 -#73 := [mp #43 #72]: #16 -#89 := [mp~ #73 #88]: #86 -#92 := [and-elim #89]: #83 -#98 := (not #83) -#186 := (not #516) -#100 := (or #186 #98) -#187 := [quant-inst #81]: #100 -[unit-resolution #187 #92 #521]: false -64ac5cdd2e2bbc8090d1b1182bdc796d3bfd82c3 42 0 +#62 := (iff #12 false) +#63 := [iff-false #54]: #62 +#66 := [monotonicity #63]: #65 +#70 := [trans #66 #68]: #69 +#53 := [and-elim #51]: #17 +#60 := [mp #53 #70]: #16 +#83 := [mp~ #60 #80]: #78 +#86 := [and-elim #83]: #75 +#152 := (not #75) +#239 := (not #569) +#154 := (or #239 #152) +#240 := [quant-inst #72]: #154 +[unit-resolution #240 #86 #574]: false +unsat +f78c1cf1e21deba8da342bf5b3ccd8619a3acc09 2 0 WARNING: failed to find a pattern for quantifier (quantifier id: k!10) unsat -#2 := false -#8 := (:var 0 S2) -#7 := (:var 1 S2) -#9 := (= #7 #8) -#36 := (not #9) -#39 := (forall (vars (?v0 S2) (?v1 S2)) #36) -#448 := (not #39) -decl elem!0 :: S2 -#44 := elem!0 -#45 := (= elem!0 elem!0) -#454 := (not #45) -#121 := (or #448 #454) -#459 := (iff #121 #448) -#108 := (or #448 false) -#435 := (iff #108 #448) -#453 := [rewrite]: #435 -#113 := (iff #121 #108) -#455 := (iff #454 false) -#1 := true -#123 := (not true) -#136 := (iff #123 false) -#116 := [rewrite]: #136 -#134 := (iff #454 #123) -#122 := (iff #45 true) -#132 := [rewrite]: #122 -#135 := [monotonicity #132]: #134 -#457 := [trans #135 #116]: #455 -#93 := [monotonicity #457]: #113 -#450 := [trans #93 #453]: #459 -#458 := [quant-inst #44 #44]: #121 -#109 := [mp #458 #450]: #448 -#10 := (exists (vars (?v0 S2) (?v1 S2)) #9) -#11 := (not #10) -#40 := (~ #11 #39) -#37 := (~ #36 #36) -#38 := [refl]: #37 -#41 := [nnf-neg #38]: #40 -#13 := [asserted]: #11 -#42 := [mp~ #13 #41]: #39 -[unit-resolution #42 #109]: false -9067d5c00609a8193d1707b7db4e437e84211a7e 137 0 +f78f234620a6b9d63296ecb6ddac45e9775a4139 2 0 WARNING: For problems containing quantifiers, the model finding capabilities of Z3 work better when the formula does not contain nested quantifiers. You can use PULL_NESTED_QUANTIFIERS=true to eliminate nested quantifiers. unsat -#2 := false -decl f3 :: (-> S2 S1) -#7 := (:var 0 S2) -#8 := (f3 #7) -#526 := (pattern #8) -decl f1 :: S1 -#3 := f1 -#9 := (= #8 f1) -#23 := (not #9) -decl elem!0 :: S2 -#110 := elem!0 -#189 := (f3 elem!0) -#518 := (= #189 f1) -#523 := (not #518) -#200 := (or #523 #23) -#111 := (forall (vars (?v1 S2)) (:pat #526) #200) -#201 := (not #111) -#202 := (or #523 #201) -#199 := (not #202) -#10 := (:var 1 S2) -#11 := (f3 #10) -#12 := (= #11 f1) -#72 := (not #12) -#81 := (or #72 #23) -#527 := (forall (vars (?v1 S2)) (:pat #526) #81) -#532 := (not #527) -#535 := (or #23 #532) -#538 := (not #535) -#541 := (forall (vars (?v0 S2)) (:pat #526) #538) -#92 := (forall (vars (?v1 S2)) #81) -#98 := (not #92) -#99 := (or #23 #98) -#100 := (not #99) -#105 := (forall (vars (?v0 S2)) #100) -#542 := (iff #105 #541) -#539 := (iff #100 #538) -#536 := (iff #99 #535) -#533 := (iff #98 #532) -#530 := (iff #92 #527) -#528 := (iff #81 #81) -#529 := [refl]: #528 -#531 := [quant-intro #529]: #530 -#534 := [monotonicity #531]: #533 -#537 := [monotonicity #534]: #536 -#540 := [monotonicity #537]: #539 -#543 := [quant-intro #540]: #542 -#13 := (and #12 #9) -#56 := (not #13) -#59 := (forall (vars (?v1 S2)) #56) -#75 := (and #9 #59) -#78 := (forall (vars (?v0 S2)) #75) -#106 := (iff #78 #105) -#103 := (iff #75 #100) -#95 := (and #9 #92) -#101 := (iff #95 #100) -#102 := [rewrite]: #101 -#96 := (iff #75 #95) -#93 := (iff #59 #92) -#90 := (iff #56 #81) -#82 := (not #81) -#85 := (not #82) -#88 := (iff #85 #81) -#89 := [rewrite]: #88 -#86 := (iff #56 #85) -#83 := (iff #13 #82) -#84 := [rewrite]: #83 -#87 := [monotonicity #84]: #86 -#91 := [trans #87 #89]: #90 -#94 := [quant-intro #91]: #93 -#97 := [monotonicity #94]: #96 -#104 := [trans #97 #102]: #103 -#107 := [quant-intro #104]: #106 -#53 := (not #23) -#63 := (and #53 #59) -#67 := (forall (vars (?v0 S2)) #63) -#79 := (iff #67 #78) -#76 := (iff #63 #75) -#73 := (iff #53 #9) -#74 := [rewrite]: #73 -#77 := [monotonicity #74]: #76 -#80 := [quant-intro #77]: #79 -#14 := (exists (vars (?v1 S2)) #13) -#24 := (or #23 #14) -#27 := (exists (vars (?v0 S2)) #24) -#30 := (not #27) -#68 := (~ #30 #67) -#64 := (not #24) -#65 := (~ #64 #63) -#60 := (not #14) -#61 := (~ #60 #59) -#57 := (~ #56 #56) -#58 := [refl]: #57 -#62 := [nnf-neg #58]: #61 -#54 := (~ #53 #53) -#55 := [refl]: #54 -#66 := [nnf-neg #55 #62]: #65 -#69 := [nnf-neg #66]: #68 -#15 := (implies #9 #14) -#16 := (exists (vars (?v0 S2)) #15) -#17 := (not #16) -#31 := (iff #17 #30) -#28 := (iff #16 #27) -#25 := (iff #15 #24) -#26 := [rewrite]: #25 -#29 := [quant-intro #26]: #28 -#32 := [monotonicity #29]: #31 -#19 := [asserted]: #17 -#33 := [mp #19 #32]: #30 -#70 := [mp~ #33 #69]: #67 -#71 := [mp #70 #80]: #78 -#108 := [mp #71 #107]: #105 -#544 := [mp #108 #543]: #541 -#525 := (not #541) -#188 := (or #525 #199) -#524 := [quant-inst #110]: #188 -#506 := [unit-resolution #524 #544]: #199 -#174 := (or #202 #111) -#179 := [def-axiom]: #174 -#507 := [unit-resolution #179 #506]: #111 -#515 := (or #202 #518) -#521 := [def-axiom]: #515 -#502 := [unit-resolution #521 #506]: #518 -#159 := (or #201 #523) -#176 := (or #523 #523) -#501 := (or #201 #176) -#164 := (iff #501 #159) -#166 := (iff #159 #159) -#503 := [rewrite]: #166 -#519 := (iff #176 #523) -#517 := [rewrite]: #519 -#165 := [monotonicity #517]: #164 -#504 := [trans #165 #503]: #164 -#163 := [quant-inst #110]: #501 -#505 := [mp #163 #504]: #159 -[unit-resolution #505 #502 #507]: false -cfadbe698d1c93f37fd55e77c41527ea8fc85b34 168 0 -unsat -#2 := false -decl f3 :: (-> S2 S1) -#7 := (:var 0 S2) -#8 := (f3 #7) -#527 := (pattern #8) -decl f1 :: S1 -#3 := f1 -#9 := (= #8 f1) -#47 := (not #9) -#528 := (forall (vars (?v0 S2)) (:pat #527) #47) -decl f4 :: S1 -#11 := f4 -#12 := (= f4 f1) -#533 := (not #528) -#536 := (or #533 #12) -#539 := (not #536) -#14 := (or #9 #12) -#79 := (not #14) -#542 := (forall (vars (?v0 S2)) (:pat #527) #79) -#164 := (not #542) -decl ?v0!1 :: S2 -#73 := ?v0!1 -#74 := (f3 ?v0!1) -#75 := (= #74 f1) -#76 := (or #75 #12) -#54 := (not #12) -decl elem!2 :: S2 -#522 := elem!2 -#526 := (f3 elem!2) -#176 := (= #526 f1) -#160 := (or #176 #12) -#502 := (not #160) -#503 := [hypothesis]: #542 -#517 := (or #164 #502) -#165 := [quant-inst #522]: #517 -#223 := [unit-resolution #165 #503]: #502 -#505 := (or #160 #54) -#506 := [def-axiom]: #505 -#224 := [unit-resolution #506 #223]: #54 -decl ?v0!0 :: S2 -#60 := ?v0!0 -#61 := (f3 ?v0!0) -#62 := (= #61 f1) -#190 := (not #62) -#67 := (or #62 #12) -#180 := (not #67) -#500 := (or #180 #164) -#518 := [hypothesis]: #67 -#509 := (or #164 #180) -#146 := [quant-inst #60]: #509 -#514 := [unit-resolution #146 #503 #518]: false -#501 := [lemma #514]: #500 -#498 := [unit-resolution #501 #503]: #180 -#510 := (or #67 #190) -#512 := [def-axiom]: #510 -#495 := [unit-resolution #512 #498]: #190 -#94 := (or #62 #75 #12) -#82 := (forall (vars (?v0 S2)) #79) -#50 := (forall (vars (?v0 S2)) #47) -#57 := (and #50 #54) -#86 := (or #57 #82) -#97 := (and #94 #86) -#87 := (or #67 #76) -#88 := (and #87 #86) -#98 := (iff #88 #97) -#95 := (iff #87 #94) -#96 := [rewrite]: #95 -#99 := [monotonicity #96]: #98 -#15 := (exists (vars (?v0 S2)) #14) -#10 := (exists (vars (?v0 S2)) #9) -#13 := (or #10 #12) -#23 := (not #13) -#24 := (iff #23 #15) -#89 := (~ #24 #88) -#83 := (not #15) -#84 := (~ #83 #82) -#80 := (~ #79 #79) -#81 := [refl]: #80 -#85 := [nnf-neg #81]: #84 -#77 := (~ #15 #76) -#78 := [sk]: #77 -#70 := (not #23) -#71 := (~ #70 #67) -#68 := (~ #13 #67) -#65 := (~ #12 #12) -#66 := [refl]: #65 -#63 := (~ #10 #62) -#64 := [sk]: #63 -#69 := [monotonicity #64 #66]: #68 -#72 := [nnf-neg #69]: #71 -#58 := (~ #23 #57) -#55 := (~ #54 #54) -#56 := [refl]: #55 -#51 := (not #10) -#52 := (~ #51 #50) -#48 := (~ #47 #47) -#49 := [refl]: #48 -#53 := [nnf-neg #49]: #52 -#59 := [nnf-neg #53 #56]: #58 -#90 := [nnf-pos #59 #72 #78 #85]: #89 -#16 := (iff #13 #15) -#17 := (not #16) -#25 := (iff #17 #24) -#26 := [rewrite]: #25 -#19 := [asserted]: #17 -#27 := [mp #19 #26]: #24 -#91 := [mp~ #27 #90]: #88 -#92 := [mp #91 #99]: #97 -#93 := [and-elim #92]: #94 -#499 := [unit-resolution #93 #495 #224]: #75 -#204 := (not #75) -#118 := (or #76 #204) -#496 := [def-axiom]: #118 -#209 := [unit-resolution #496 #499]: #76 -#208 := (not #76) -#225 := (or #164 #208) -#226 := [quant-inst #73]: #225 -#210 := [unit-resolution #226 #503 #209]: false -#211 := [lemma #210]: #164 -#547 := (or #539 #542) -#101 := (not #50) -#102 := (or #101 #12) -#103 := (not #102) -#106 := (or #103 #82) -#548 := (iff #106 #547) -#545 := (iff #82 #542) -#543 := (iff #79 #79) -#544 := [refl]: #543 -#546 := [quant-intro #544]: #545 -#540 := (iff #103 #539) -#537 := (iff #102 #536) -#534 := (iff #101 #533) -#531 := (iff #50 #528) -#529 := (iff #47 #47) -#530 := [refl]: #529 -#532 := [quant-intro #530]: #531 -#535 := [monotonicity #532]: #534 -#538 := [monotonicity #535]: #537 -#541 := [monotonicity #538]: #540 -#549 := [monotonicity #541 #546]: #548 -#107 := (iff #86 #106) -#104 := (iff #57 #103) -#105 := [rewrite]: #104 -#108 := [monotonicity #105]: #107 -#100 := [and-elim #92]: #86 -#109 := [mp #100 #108]: #106 -#550 := [mp #109 #549]: #547 -#497 := [unit-resolution #550 #211]: #539 -#110 := (or #536 #528) -#197 := [def-axiom]: #110 -#219 := [unit-resolution #197 #497]: #528 -#308 := (or #536 #75) -#201 := [hypothesis]: #539 -#202 := [unit-resolution #197 #201]: #528 -#183 := [hypothesis]: #204 -#111 := (or #536 #54) -#198 := [def-axiom]: #111 -#519 := [unit-resolution #198 #201]: #54 -#521 := [unit-resolution #93 #519 #183]: #62 -#203 := (or #533 #190) -#200 := [quant-inst #60]: #203 -#177 := [unit-resolution #200 #521 #202]: false -#515 := [lemma #177]: #308 -#212 := [unit-resolution #515 #497]: #75 -#220 := (or #533 #204) -#494 := [quant-inst #73]: #220 -[unit-resolution #494 #212 #219]: false -faa0d29344cac3f1cd8aa3672c93e609546ff0cf 98 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 -decl f3 :: (-> S2 S1) -decl f5 :: S2 -#13 := f5 -#14 := (f3 f5) -#15 := (= #14 f1) -#63 := (not #15) -decl f4 :: S2 -#10 := f4 -#11 := (f3 f4) -#12 := (= #11 f1) -#62 := (not #12) -#64 := (or #62 #63) -#65 := (not #64) -#476 := (or #62 #65) -#487 := (or #63 #65) -#276 := (not #487) -#486 := [hypothesis]: #487 -#7 := (:var 0 S2) -#8 := (f3 #7) -#495 := (pattern #8) -#9 := (= #8 f1) -#25 := (not #9) -#68 := (or #25 #65) -#71 := (not #68) -#496 := (forall (vars (?v0 S2)) (:pat #495) #71) -#74 := (forall (vars (?v0 S2)) #71) -#499 := (iff #74 #496) -#497 := (iff #71 #71) -#498 := [refl]: #497 -#500 := [quant-intro #498]: #499 -#16 := (and #12 #15) -#26 := (or #25 #16) -#55 := (not #26) -#58 := (forall (vars (?v0 S2)) #55) -#75 := (iff #58 #74) -#72 := (iff #55 #71) -#69 := (iff #26 #68) -#66 := (iff #16 #65) -#67 := [rewrite]: #66 -#70 := [monotonicity #67]: #69 -#73 := [monotonicity #70]: #72 -#76 := [quant-intro #73]: #75 -#29 := (exists (vars (?v0 S2)) #26) -#32 := (not #29) -#59 := (~ #32 #58) -#56 := (~ #55 #55) -#57 := [refl]: #56 -#60 := [nnf-neg #57]: #59 -#17 := (implies #9 #16) -#18 := (exists (vars (?v0 S2)) #17) -#19 := (not #18) -#33 := (iff #19 #32) -#30 := (iff #18 #29) -#27 := (iff #17 #26) -#28 := [rewrite]: #27 -#31 := [quant-intro #28]: #30 -#34 := [monotonicity #31]: #33 -#21 := [asserted]: #19 -#35 := [mp #21 #34]: #32 -#61 := [mp~ #35 #60]: #58 -#77 := [mp #61 #76]: #74 -#501 := [mp #77 #500]: #496 -#172 := (not #496) -#470 := (or #172 #276) -#132 := [quant-inst #13]: #470 -#128 := [unit-resolution #132 #501 #486]: false -#475 := [lemma #128]: #276 -#133 := (or #487 #15) -#134 := [def-axiom]: #133 -#477 := [unit-resolution #134 #475]: #15 -decl elem!0 :: S2 -#79 := elem!0 -#169 := (f3 elem!0) -#151 := (= #169 f1) -#489 := (not #151) -#145 := (or #489 #65) -#168 := (not #145) -#483 := (or #172 #168) -#156 := [quant-inst #79]: #483 -#114 := [unit-resolution #156 #501]: #168 -#143 := (or #145 #64) -#148 := [def-axiom]: #143 -#469 := [unit-resolution #148 #114]: #64 -#493 := (or #65 #62 #63) -#488 := [def-axiom]: #493 -#176 := [unit-resolution #488 #469]: #64 -#191 := [unit-resolution #176 #477]: #62 -#119 := (or #476 #12) -#120 := [def-axiom]: #119 -#192 := [unit-resolution #120 #191]: #476 -#471 := (not #476) -#478 := (or #172 #471) -#480 := [quant-inst #10]: #478 -[unit-resolution #480 #501 #192]: false -68f7af3545a2e0a392ee944cd5535bbc7c76b3dc 84 0 -unsat -#2 := false -decl f3 :: (-> S2 S1) -#7 := (:var 0 S2) -#8 := (f3 #7) -#494 := (pattern #8) -decl f1 :: S1 -#3 := f1 -#9 := (= #8 f1) -decl ?v1!0 :: S2 -#49 := ?v1!0 -#50 := (f3 ?v1!0) -#51 := (= #50 f1) -#68 := (not #51) -#69 := (or #68 #9) -#70 := (not #69) -#495 := (forall (vars (?v0 S2)) (:pat #494) #70) -#275 := (not #495) -#167 := (or #68 #51) -#486 := (not #167) -#131 := (or #275 #486) -#474 := (iff #131 #275) -#133 := (or #275 false) -#472 := (iff #133 #275) -#473 := [rewrite]: #472 -#134 := (iff #131 #133) -#127 := (iff #486 false) -#1 := true -#142 := (not true) -#143 := (iff #142 false) -#485 := [rewrite]: #143 -#147 := (iff #486 #142) -#493 := (iff #167 true) -#483 := [rewrite]: #493 -#484 := [monotonicity #483]: #147 -#469 := [trans #484 #485]: #127 -#471 := [monotonicity #469]: #134 -#475 := [trans #471 #473]: #474 -#132 := [quant-inst #49]: #131 -#470 := [mp #132 #475]: #275 -#73 := (forall (vars (?v0 S2)) #70) -#498 := (iff #73 #495) -#496 := (iff #70 #70) -#497 := [refl]: #496 -#499 := [quant-intro #497]: #498 -#57 := (not #9) -#60 := (and #51 #57) -#64 := (forall (vars (?v0 S2)) #60) -#74 := (iff #64 #73) -#71 := (iff #60 #70) -#72 := [rewrite]: #71 -#75 := [quant-intro #72]: #74 -#10 := (exists (vars (?v1 S2)) #9) -#19 := (not #10) -#20 := (or #19 #9) -#23 := (exists (vars (?v0 S2)) #20) -#26 := (not #23) -#65 := (~ #26 #64) -#61 := (not #20) -#62 := (~ #61 #60) -#58 := (~ #57 #57) -#59 := [refl]: #58 -#54 := (not #19) -#55 := (~ #54 #51) -#52 := (~ #10 #51) -#53 := [sk]: #52 -#56 := [nnf-neg #53]: #55 -#63 := [nnf-neg #56 #59]: #62 -#66 := [nnf-neg #63]: #65 -#11 := (implies #10 #9) -#12 := (exists (vars (?v0 S2)) #11) -#13 := (not #12) -#27 := (iff #13 #26) -#24 := (iff #12 #23) -#21 := (iff #11 #20) -#22 := [rewrite]: #21 -#25 := [quant-intro #22]: #24 -#28 := [monotonicity #25]: #27 -#15 := [asserted]: #13 -#29 := [mp #15 #28]: #26 -#67 := [mp~ #29 #66]: #64 -#76 := [mp #67 #75]: #73 -#500 := [mp #76 #499]: #495 -[unit-resolution #500 #470]: false -c7dcc81d0a2f31db2403b790a9ba1ebc57f8c894 195 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 -decl f4 :: (-> S2 S1) -decl ?v0!0 :: S2 -#71 := ?v0!0 -#72 := (f4 ?v0!0) -#73 := (= #72 f1) -decl f3 :: S1 -#7 := f3 -#8 := (= f3 f1) -#23 := (not #8) -#74 := (or #23 #73) -decl ?v0!1 :: S2 -#82 := ?v0!1 -#83 := (f4 ?v0!1) -#84 := (= #83 f1) -#535 := (not #84) -#87 := (or #23 #84) -#537 := (not #87) -#540 := [hypothesis]: #87 -#9 := (:var 0 S2) -#10 := (f4 #9) -#553 := (pattern #10) -#11 := (= #10 f1) -#24 := (or #23 #11) -#65 := (not #24) -#554 := (forall (vars (?v0 S2)) (:pat #553) #65) -#93 := (not #11) -#559 := (forall (vars (?v0 S2)) (:pat #553) #93) -#564 := (not #559) -#567 := (or #23 #564) -#193 := [hypothesis]: #559 -decl elem!2 :: S2 -#229 := elem!2 -#547 := (f4 elem!2) -#215 := (= #547 f1) -#549 := (or #23 #215) -#541 := [hypothesis]: #23 -#552 := (or #549 #8) -#542 := [def-axiom]: #552 -#548 := [unit-resolution #542 #541]: #549 -#136 := (or #567 #8) -#223 := [def-axiom]: #136 -#186 := [unit-resolution #223 #541]: #567 -#570 := (not #567) -#573 := (or #554 #570) -#96 := (forall (vars (?v0 S2)) #93) -#127 := (not #96) -#128 := (or #23 #127) -#129 := (not #128) -#68 := (forall (vars (?v0 S2)) #65) -#132 := (or #68 #129) -#574 := (iff #132 #573) -#571 := (iff #129 #570) -#568 := (iff #128 #567) -#565 := (iff #127 #564) -#562 := (iff #96 #559) -#560 := (iff #93 #93) -#561 := [refl]: #560 -#563 := [quant-intro #561]: #562 -#566 := [monotonicity #563]: #565 -#569 := [monotonicity #566]: #568 -#572 := [monotonicity #569]: #571 -#557 := (iff #68 #554) -#555 := (iff #65 #65) -#556 := [refl]: #555 -#558 := [quant-intro #556]: #557 -#575 := [monotonicity #558 #572]: #574 -#117 := (and #8 #96) -#120 := (or #68 #117) -#133 := (iff #120 #132) -#130 := (iff #117 #129) -#131 := [rewrite]: #130 -#134 := [monotonicity #131]: #133 -#112 := (or #73 #23 #84) -#123 := (and #112 #120) -#90 := (not #23) -#100 := (and #90 #96) -#104 := (or #68 #100) -#105 := (or #74 #87) -#106 := (and #105 #104) -#124 := (iff #106 #123) -#121 := (iff #104 #120) -#118 := (iff #100 #117) -#115 := (iff #90 #8) -#116 := [rewrite]: #115 -#119 := [monotonicity #116]: #118 -#122 := [monotonicity #119]: #121 -#113 := (iff #105 #112) -#114 := [rewrite]: #113 -#125 := [monotonicity #114 #122]: #124 -#14 := (exists (vars (?v0 S2)) #11) -#30 := (or #23 #14) -#27 := (exists (vars (?v0 S2)) #24) -#39 := (not #27) -#40 := (iff #39 #30) -#107 := (~ #40 #106) -#101 := (not #30) -#102 := (~ #101 #100) -#97 := (not #14) -#98 := (~ #97 #96) -#94 := (~ #93 #93) -#95 := [refl]: #94 -#99 := [nnf-neg #95]: #98 -#91 := (~ #90 #90) -#92 := [refl]: #91 -#103 := [nnf-neg #92 #99]: #102 -#88 := (~ #30 #87) -#85 := (~ #14 #84) -#86 := [sk]: #85 -#80 := (~ #23 #23) -#81 := [refl]: #80 -#89 := [monotonicity #81 #86]: #88 -#77 := (not #39) -#78 := (~ #77 #74) -#75 := (~ #27 #74) -#76 := [sk]: #75 -#79 := [nnf-neg #76]: #78 -#69 := (~ #39 #68) -#66 := (~ #65 #65) -#67 := [refl]: #66 -#70 := [nnf-neg #67]: #69 -#108 := [nnf-pos #70 #79 #89 #103]: #107 -#15 := (implies #8 #14) -#12 := (implies #8 #11) -#13 := (exists (vars (?v0 S2)) #12) -#16 := (iff #13 #15) -#17 := (not #16) -#43 := (iff #17 #40) -#33 := (iff #27 #30) -#36 := (not #33) -#41 := (iff #36 #40) -#42 := [rewrite]: #41 -#37 := (iff #17 #36) -#34 := (iff #16 #33) -#31 := (iff #15 #30) -#32 := [rewrite]: #31 -#28 := (iff #13 #27) -#25 := (iff #12 #24) -#26 := [rewrite]: #25 -#29 := [quant-intro #26]: #28 -#35 := [monotonicity #29 #32]: #34 -#38 := [monotonicity #35]: #37 -#44 := [trans #38 #42]: #43 -#19 := [asserted]: #17 -#45 := [mp #19 #44]: #40 -#109 := [mp~ #45 #108]: #106 -#110 := [mp #109 #125]: #123 -#126 := [and-elim #110]: #120 -#135 := [mp #126 #134]: #132 -#576 := [mp #135 #575]: #573 -#528 := [unit-resolution #576 #186]: #554 -#550 := (not #549) -#551 := (not #554) -#214 := (or #551 #550) -#546 := [quant-inst #229]: #214 -#190 := [unit-resolution #546 #528 #548]: false -#191 := [lemma #190]: #8 -#192 := (not #73) -#534 := (or #192 #564) -#530 := [hypothesis]: #73 -#531 := (or #564 #192) -#532 := [quant-inst #71]: #531 -#533 := [unit-resolution #532 #530 #193]: false -#529 := [lemma #533]: #534 -#172 := [unit-resolution #529 #193]: #192 -#111 := [and-elim #110]: #112 -#536 := [unit-resolution #111 #172 #191]: #84 -#538 := (or #564 #535) -#177 := [quant-inst #82]: #538 -#178 := [unit-resolution #177 #536 #193]: false -#539 := [lemma #178]: #564 -#137 := (or #567 #559) -#224 := [def-axiom]: #137 -#526 := [unit-resolution #224 #539]: #567 -#523 := [unit-resolution #576 #526]: #554 -#527 := (or #551 #537) -#234 := [quant-inst #82]: #527 -#245 := [unit-resolution #234 #523 #540]: false -#246 := [lemma #245]: #537 -#251 := (or #87 #535) -#252 := [def-axiom]: #251 -#524 := [unit-resolution #252 #246]: #535 -#521 := (or #73 #84) -#514 := [unit-resolution #111 #191]: #521 -#518 := [unit-resolution #514 #524]: #73 -#238 := (or #74 #192) -#516 := [def-axiom]: #238 -#515 := [unit-resolution #516 #518]: #74 -#520 := (not #74) -#525 := (or #551 #520) -#235 := [quant-inst #71]: #525 -[unit-resolution #235 #523 #515]: false -b3778beae28d076e6c36fc9b45a5fba8752cdac2 79 0 -unsat +ff5923442190bbdb9015d06b9eb041224ec4aa67 1 0 +unsat +4c6ce503f607e74ba8e93edccc79946582314947 1 0 +unsat +12584fda31d4fe9678f56daf5308984bcbc8882b 1 0 +unsat +3c63947a5d206f9097abc5a6fc0fbae82d2d79e0 1 0 +unsat +54883b23fe5740347c973de8603dbf0368168608 79 0 #2 := false decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1 S1) +decl ?v0!0 :: S1 +#47 := ?v0!0 +decl f4 :: S2 +#7 := f4 +#48 := (f3 f4 ?v0!0) +#49 := (= #48 f1) decl ?v0!1 :: S1 -#56 := ?v0!1 -decl f4 :: S2 -#7 := f4 -#57 := (f3 f4 ?v0!1) -#58 := (= #57 f1) -decl ?v0!0 :: S1 -#45 := ?v0!0 -#46 := (f3 f4 ?v0!0) -#47 := (= #46 f1) -#83 := (not #47) -#170 := [hypothesis]: #47 +#61 := ?v0!1 +#62 := (f3 f4 ?v0!1) +#63 := (= #62 f1) +#145 := (not #63) +#231 := [hypothesis]: #63 #8 := (:var 0 S1) #9 := (f3 f4 #8) -#500 := (pattern #9) +#561 := (pattern #9) #10 := (= #9 f1) #13 := (not #10) -#501 := (forall (vars (?v0 S1)) (:pat #500) #13) +#562 := (forall (vars (?v0 S1)) (:pat #561) #13) #14 := (forall (vars (?v0 S1)) #13) -#504 := (iff #14 #501) -#502 := (iff #13 #13) -#503 := [refl]: #502 -#505 := [quant-intro #503]: #504 -#76 := (or #47 #58) -#79 := (and #14 #76) -#59 := (not #58) -#60 := (not #59) -#64 := (or #47 #60) -#65 := (or #14 #14) -#66 := (and #65 #64) -#80 := (iff #66 #79) -#77 := (iff #64 #76) -#74 := (iff #60 #58) -#75 := [rewrite]: #74 -#78 := [monotonicity #75]: #77 -#72 := (iff #65 #14) -#73 := [rewrite]: #72 -#81 := [monotonicity #73 #78]: #80 +#565 := (iff #14 #562) +#563 := (iff #13 #13) +#564 := [refl]: #563 +#566 := [quant-intro #564]: #565 +#80 := (or #63 #49) +#83 := (and #14 #80) +#50 := (not #49) +#42 := (not #50) +#68 := (or #63 #42) +#69 := (or #14 #14) +#70 := (and #69 #68) +#84 := (iff #70 #83) +#81 := (iff #68 #80) +#78 := (iff #42 #49) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#76 := (iff #69 #14) +#77 := [rewrite]: #76 +#85 := [monotonicity #77 #82]: #84 #11 := (exists (vars (?v0 S1)) #10) -#22 := (iff #11 #14) -#67 := (~ #22 #66) -#61 := (not #14) -#62 := (~ #61 #60) -#63 := [sk]: #62 -#54 := (~ #14 #14) -#50 := (~ #13 #13) -#51 := [refl]: #50 -#55 := [nnf-pos #51]: #54 +#38 := (iff #11 #14) +#71 := (~ #38 #70) +#57 := (~ #14 #14) +#55 := (~ #13 #13) +#56 := [refl]: #55 +#58 := [nnf-pos #56]: #57 +#44 := (not #14) +#51 := (~ #44 #42) +#52 := [sk]: #51 +#64 := (~ #11 #63) +#65 := [sk]: #64 #12 := (not #11) -#52 := (~ #12 #14) -#53 := [nnf-neg #51]: #52 -#48 := (~ #11 #47) -#49 := [sk]: #48 -#68 := [nnf-pos #49 #53 #55 #63]: #67 +#59 := (~ #12 #14) +#60 := [nnf-neg #56]: #59 +#72 := [nnf-pos #60 #65 #52 #58]: #71 #15 := (iff #12 #14) #16 := (not #15) -#23 := (iff #16 #22) -#24 := [rewrite]: #23 -#18 := [asserted]: #16 -#25 := [mp #18 #24]: #22 -#69 := [mp~ #25 #68]: #66 -#70 := [mp #69 #81]: #79 -#71 := [and-elim #70]: #14 -#506 := [mp #71 #505]: #501 -#171 := (not #501) -#85 := (or #171 #83) -#172 := [quant-inst #45]: #85 -#84 := [unit-resolution #172 #506 #170]: false -#163 := [lemma #84]: #83 -#82 := [and-elim #70]: #76 -#174 := [unit-resolution #82 #163]: #58 -#176 := (or #171 #59) -#173 := [quant-inst #56]: #176 -[unit-resolution #173 #506 #174]: false -2d8fd1a0ef67720701cd879eda1b0854a5ebf849 179 0 -unsat +#39 := (iff #16 #38) +#40 := [rewrite]: #39 +#37 := [asserted]: #16 +#43 := [mp #37 #40]: #38 +#73 := [mp~ #43 #72]: #70 +#74 := [mp #73 #85]: #83 +#75 := [and-elim #74]: #14 +#567 := [mp #75 #566]: #562 +#232 := (not #562) +#147 := (or #232 #145) +#233 := [quant-inst #61]: #147 +#146 := [unit-resolution #233 #567 #231]: false +#224 := [lemma #146]: #145 +#86 := [and-elim #74]: #80 +#235 := [unit-resolution #86 #224]: #49 +#237 := (or #232 #50) +#234 := [quant-inst #47]: #237 +[unit-resolution #234 #567 #235]: false +unsat +99b6c9d07fc5dd56e24a241d63a8bd5f333486a2 179 0 #2 := false decl f3 :: (-> S2 S1 S1) #8 := (:var 0 S1) decl f4 :: S2 #7 := f4 #9 := (f3 f4 #8) -#546 := (pattern #9) +#607 := (pattern #9) decl f1 :: S1 #3 := f1 #10 := (= #9 f1) -#552 := (forall (vars (?v0 S1)) (:pat #546) #10) +#613 := (forall (vars (?v0 S1)) (:pat #607) #10) decl f5 :: S1 #11 := f5 #12 := (= f5 f1) -#557 := (not #552) -#560 := (or #557 #12) -#563 := (not #560) -#24 := (not #10) -#25 := (or #24 #12) -#67 := (not #25) -#547 := (forall (vars (?v0 S1)) (:pat #546) #67) -#534 := (not #547) -decl ?v0!0 :: S1 -#73 := ?v0!0 -#74 := (f3 f4 ?v0!0) -#75 := (= #74 f1) -#76 := (not #75) -#77 := (or #76 #12) +#618 := (not #613) +#621 := (or #618 #12) +#624 := (not #621) +#40 := (not #10) +#41 := (or #40 #12) +#106 := (not #41) +#608 := (forall (vars (?v0 S1)) (:pat #607) #106) +#595 := (not #608) decl ?v0!1 :: S1 -#83 := ?v0!1 -#84 := (f3 f4 ?v0!1) -#85 := (= #84 f1) -#86 := (not #85) -#91 := (or #86 #12) -#222 := [hypothesis]: #86 -#541 := (or #91 #85) -#542 := [def-axiom]: #541 -#196 := [unit-resolution #542 #222]: #91 -#219 := (or #557 #85) -#221 := [hypothesis]: #552 -#223 := [quant-inst #83]: #219 -#202 := [unit-resolution #223 #222 #221]: false -#538 := [lemma #202]: #219 -#327 := [unit-resolution #538 #222]: #557 -#129 := (or #560 #552) -#130 := [def-axiom]: #129 -#535 := [unit-resolution #130 #327]: #560 -#566 := (or #547 #563) +#94 := ?v0!1 +#95 := (f3 f4 ?v0!1) +#96 := (= #95 f1) +#97 := (not #96) +#98 := (or #97 #12) +decl ?v0!0 :: S1 +#81 := ?v0!0 +#82 := (f3 f4 ?v0!0) +#83 := (= #82 f1) +#84 := (not #83) +#91 := (or #84 #12) +#283 := [hypothesis]: #84 +#602 := (or #91 #83) +#603 := [def-axiom]: #602 +#257 := [unit-resolution #603 #283]: #91 +#280 := (or #618 #83) +#282 := [hypothesis]: #613 +#284 := [quant-inst #81]: #280 +#263 := [unit-resolution #284 #283 #282]: false +#599 := [lemma #263]: #280 +#388 := [unit-resolution #599 #283]: #618 +#191 := (or #621 #613) +#192 := [def-axiom]: #191 +#596 := [unit-resolution #192 #388]: #621 +#627 := (or #608 #624) #15 := (forall (vars (?v0 S1)) #10) -#31 := (not #15) -#32 := (or #31 #12) -#105 := (not #32) -#70 := (forall (vars (?v0 S1)) #67) -#125 := (or #70 #105) -#567 := (iff #125 #566) -#564 := (iff #105 #563) -#561 := (iff #32 #560) -#558 := (iff #31 #557) -#555 := (iff #15 #552) -#553 := (iff #10 #10) -#554 := [refl]: #553 -#556 := [quant-intro #554]: #555 -#559 := [monotonicity #556]: #558 -#562 := [monotonicity #559]: #561 -#565 := [monotonicity #562]: #564 -#550 := (iff #70 #547) -#548 := (iff #67 #67) -#549 := [refl]: #548 -#551 := [quant-intro #549]: #550 -#568 := [monotonicity #551 #565]: #567 -#101 := (not #12) -#104 := (and #15 #101) -#108 := (or #70 #104) -#126 := (iff #108 #125) -#123 := (iff #104 #105) -#124 := [rewrite]: #123 -#127 := [monotonicity #124]: #126 -#116 := (or #76 #86 #12) -#119 := (and #116 #108) -#109 := (or #77 #91) -#110 := (and #109 #108) -#120 := (iff #110 #119) -#117 := (iff #109 #116) -#118 := [rewrite]: #117 -#121 := [monotonicity #118]: #120 -#28 := (exists (vars (?v0 S1)) #25) -#41 := (not #28) -#42 := (iff #41 #32) -#111 := (~ #42 #110) -#106 := (~ #105 #104) -#102 := (~ #101 #101) -#103 := [refl]: #102 -#98 := (not #31) -#99 := (~ #98 #15) -#96 := (~ #15 #15) -#94 := (~ #10 #10) -#95 := [refl]: #94 -#97 := [nnf-pos #95]: #96 -#100 := [nnf-neg #97]: #99 -#107 := [nnf-neg #100 #103]: #106 -#92 := (~ #32 #91) +#47 := (not #15) +#48 := (or #47 #12) +#78 := (not #48) +#109 := (forall (vars (?v0 S1)) #106) +#101 := (or #109 #78) +#628 := (iff #101 #627) +#625 := (iff #78 #624) +#622 := (iff #48 #621) +#619 := (iff #47 #618) +#616 := (iff #15 #613) +#614 := (iff #10 #10) +#615 := [refl]: #614 +#617 := [quant-intro #615]: #616 +#620 := [monotonicity #617]: #619 +#623 := [monotonicity #620]: #622 +#626 := [monotonicity #623]: #625 +#611 := (iff #109 #608) +#609 := (iff #106 #106) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#629 := [monotonicity #612 #626]: #628 +#74 := (not #12) +#77 := (and #15 #74) +#112 := (or #109 #77) +#102 := (iff #112 #101) +#87 := (iff #77 #78) +#88 := [rewrite]: #87 +#127 := [monotonicity #88]: #102 +#120 := (or #97 #84 #12) +#123 := (and #120 #112) +#113 := (or #98 #91) +#114 := (and #113 #112) +#124 := (iff #114 #123) +#121 := (iff #113 #120) +#122 := [rewrite]: #121 +#125 := [monotonicity #122]: #124 +#44 := (exists (vars (?v0 S1)) #41) +#57 := (not #44) +#58 := (iff #57 #48) +#115 := (~ #58 #114) +#92 := (~ #48 #91) #89 := (~ #12 #12) #90 := [refl]: #89 -#87 := (~ #31 #86) -#88 := [sk]: #87 -#93 := [monotonicity #88 #90]: #92 -#80 := (not #41) -#81 := (~ #80 #77) -#78 := (~ #28 #77) -#79 := [sk]: #78 -#82 := [nnf-neg #79]: #81 -#71 := (~ #41 #70) -#68 := (~ #67 #67) -#69 := [refl]: #68 -#72 := [nnf-neg #69]: #71 -#112 := [nnf-pos #72 #82 #93 #107]: #111 +#85 := (~ #47 #84) +#86 := [sk]: #85 +#93 := [monotonicity #86 #90]: #92 +#79 := (~ #78 #77) +#75 := (~ #74 #74) +#76 := [refl]: #75 +#64 := (not #47) +#66 := (~ #64 #15) +#71 := (~ #15 #15) +#69 := (~ #10 #10) +#70 := [refl]: #69 +#72 := [nnf-pos #70]: #71 +#73 := [nnf-neg #72]: #66 +#80 := [nnf-neg #73 #76]: #79 +#110 := (~ #57 #109) +#107 := (~ #106 #106) +#108 := [refl]: #107 +#111 := [nnf-neg #108]: #110 +#103 := (not #57) +#104 := (~ #103 #98) +#99 := (~ #44 #98) +#100 := [sk]: #99 +#105 := [nnf-neg #100]: #104 +#116 := [nnf-pos #105 #111 #80 #93]: #115 #16 := (implies #15 #12) #13 := (implies #10 #12) #14 := (exists (vars (?v0 S1)) #13) #17 := (iff #14 #16) #18 := (not #17) -#45 := (iff #18 #42) -#35 := (iff #28 #32) -#38 := (not #35) -#43 := (iff #38 #42) -#44 := [rewrite]: #43 -#39 := (iff #18 #38) -#36 := (iff #17 #35) -#33 := (iff #16 #32) -#34 := [rewrite]: #33 -#29 := (iff #14 #28) -#26 := (iff #13 #25) -#27 := [rewrite]: #26 -#30 := [quant-intro #27]: #29 -#37 := [monotonicity #30 #34]: #36 -#40 := [monotonicity #37]: #39 -#46 := [trans #40 #44]: #45 -#20 := [asserted]: #18 -#47 := [mp #20 #46]: #42 -#113 := [mp~ #47 #112]: #110 -#114 := [mp #113 #121]: #119 -#122 := [and-elim #114]: #108 -#128 := [mp #122 #127]: #125 -#569 := [mp #128 #568]: #566 -#194 := [unit-resolution #569 #535]: #547 -#540 := (not #91) -#207 := (or #534 #540) -#208 := [quant-inst #83]: #207 -#199 := [unit-resolution #208 #194 #196]: false -#536 := [lemma #199]: #85 -#543 := (not #77) -#525 := [hypothesis]: #543 -#537 := (or #77 #75) -#179 := [def-axiom]: #537 -#526 := [unit-resolution #179 #525]: #75 -#521 := (or #77 #101) -#183 := [def-axiom]: #521 -#527 := [unit-resolution #183 #525]: #101 -#115 := [and-elim #114]: #116 -#522 := [unit-resolution #115 #527 #526 #536]: false -#528 := [lemma #522]: #77 -#523 := (or #543 #534) -#544 := [hypothesis]: #77 -#539 := [hypothesis]: #547 -#545 := (or #534 #543) -#195 := [quant-inst #73]: #545 -#186 := [unit-resolution #195 #539 #544]: false -#524 := [lemma #186]: #523 -#165 := [unit-resolution #524 #528]: #534 -#529 := [unit-resolution #569 #165]: #563 -#171 := [unit-resolution #130 #529]: #552 -#216 := (or #560 #101) -#217 := [def-axiom]: #216 -#532 := [unit-resolution #217 #529]: #101 -#530 := [unit-resolution #115 #532 #536]: #76 -#531 := (or #557 #75) -#170 := [quant-inst #73]: #531 -[unit-resolution #170 #530 #171]: false -5068ada6674873a5a5e5c36bb6eb28fe2d67f362 128 0 -unsat +#61 := (iff #18 #58) +#51 := (iff #44 #48) +#54 := (not #51) +#59 := (iff #54 #58) +#60 := [rewrite]: #59 +#55 := (iff #18 #54) +#52 := (iff #17 #51) +#49 := (iff #16 #48) +#50 := [rewrite]: #49 +#45 := (iff #14 #44) +#42 := (iff #13 #41) +#43 := [rewrite]: #42 +#46 := [quant-intro #43]: #45 +#53 := [monotonicity #46 #50]: #52 +#56 := [monotonicity #53]: #55 +#62 := [trans #56 #60]: #61 +#39 := [asserted]: #18 +#65 := [mp #39 #62]: #58 +#117 := [mp~ #65 #116]: #114 +#118 := [mp #117 #125]: #123 +#126 := [and-elim #118]: #112 +#128 := [mp #126 #127]: #101 +#630 := [mp #128 #629]: #627 +#255 := [unit-resolution #630 #596]: #608 +#601 := (not #91) +#268 := (or #595 #601) +#269 := [quant-inst #81]: #268 +#260 := [unit-resolution #269 #255 #257]: false +#597 := [lemma #260]: #83 +#604 := (not #98) +#586 := [hypothesis]: #604 +#598 := (or #98 #96) +#240 := [def-axiom]: #598 +#587 := [unit-resolution #240 #586]: #96 +#582 := (or #98 #74) +#244 := [def-axiom]: #582 +#588 := [unit-resolution #244 #586]: #74 +#119 := [and-elim #118]: #120 +#583 := [unit-resolution #119 #588 #587 #597]: false +#589 := [lemma #583]: #98 +#584 := (or #604 #595) +#605 := [hypothesis]: #98 +#600 := [hypothesis]: #608 +#606 := (or #595 #604) +#256 := [quant-inst #94]: #606 +#247 := [unit-resolution #256 #600 #605]: false +#585 := [lemma #247]: #584 +#226 := [unit-resolution #585 #589]: #595 +#590 := [unit-resolution #630 #226]: #624 +#232 := [unit-resolution #192 #590]: #613 +#277 := (or #621 #74) +#278 := [def-axiom]: #277 +#593 := [unit-resolution #278 #590]: #74 +#591 := [unit-resolution #119 #593 #597]: #97 +#592 := (or #618 #96) +#231 := [quant-inst #94]: #592 +[unit-resolution #231 #591 #232]: false +unsat +99ed87e27f19515cee990b0e1501f89b03efe0b8 128 0 #2 := false decl f3 :: (-> S3 S2 S1) #10 := (:var 0 S2) @@ -6204,125 +5329,125 @@ #7 := f5 #17 := (f4 f5 f6) #18 := (f3 #17 #10) -#523 := (pattern #18) +#582 := (pattern #18) decl f1 :: S1 #3 := f1 #19 := (= #18 f1) -#67 := (not #19) -#524 := (forall (vars (?v0 S2)) (:pat #523) #67) +#85 := (not #19) +#583 := (forall (vars (?v0 S2)) (:pat #582) #85) decl f7 :: S2 #21 := f7 #22 := (f3 #17 f7) #23 := (= #22 f1) -#97 := (= f6 f1) -#98 := (iff #23 #97) +#159 := (= f6 f1) +#160 := (iff #23 #159) #8 := (:var 1 S1) #9 := (f4 f5 #8) #11 := (f3 #9 #10) -#516 := (pattern #11) +#575 := (pattern #11) #13 := (= #8 f1) #12 := (= #11 f1) #14 := (iff #12 #13) -#517 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #516) #14) +#576 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #575) #14) #15 := (forall (vars (?v0 S1) (?v1 S2)) #14) -#520 := (iff #15 #517) -#518 := (iff #14 #14) -#519 := [refl]: #518 -#521 := [quant-intro #519]: #520 -#69 := (~ #15 #15) -#71 := (~ #14 #14) -#72 := [refl]: #71 -#70 := [nnf-pos #72]: #69 +#579 := (iff #15 #576) +#577 := (iff #14 #14) +#578 := [refl]: #577 +#580 := [quant-intro #578]: #579 +#62 := (~ #15 #15) +#69 := (~ #14 #14) +#70 := [refl]: #69 +#63 := [nnf-pos #70]: #62 #20 := (exists (vars (?v0 S2)) #19) #24 := (iff #20 #23) -#32 := (not #15) -#33 := (or #32 #24) -#36 := (not #33) +#48 := (not #15) +#49 := (or #48 #24) +#52 := (not #49) #25 := (implies #15 #24) #26 := (not #25) -#37 := (iff #26 #36) -#34 := (iff #25 #33) -#35 := [rewrite]: #34 -#38 := [monotonicity #35]: #37 -#28 := [asserted]: #26 -#39 := [mp #28 #38]: #36 -#40 := [not-or-elim #39]: #15 -#66 := [mp~ #40 #70]: #15 -#522 := [mp #66 #521]: #517 -#101 := (not #517) -#178 := (or #101 #98) -#511 := [quant-inst #16 #21]: #178 -#187 := [unit-resolution #511 #522]: #98 +#53 := (iff #26 #52) +#50 := (iff #25 #49) +#51 := [rewrite]: #50 +#54 := [monotonicity #51]: #53 +#47 := [asserted]: #26 +#57 := [mp #47 #54]: #52 +#55 := [not-or-elim #57]: #15 +#60 := [mp~ #55 #63]: #15 +#581 := [mp #60 #580]: #576 +#161 := (not #576) +#237 := (or #161 #160) +#570 := [quant-inst #16 #21]: #237 +#246 := [unit-resolution #570 #581]: #160 decl ?v0!0 :: S2 -#78 := ?v0!0 -#79 := (f3 #17 ?v0!0) -#80 := (= #79 f1) -#186 := (iff #80 #97) -#188 := (or #101 #186) -#179 := [quant-inst #16 #78]: #188 -#177 := [unit-resolution #179 #522]: #186 -#190 := (not #186) -#149 := (or #190 #97) -#88 := (not #23) -#165 := [hypothesis]: #88 -#92 := (or #80 #23) -#75 := (forall (vars (?v0 S2)) #67) -#91 := (or #75 #88) +#75 := ?v0!0 +#76 := (f3 #17 ?v0!0) +#77 := (= #76 f1) +#245 := (iff #77 #159) +#247 := (or #161 #245) +#238 := [quant-inst #16 #75]: #247 +#236 := [unit-resolution #238 #581]: #245 +#249 := (not #245) +#208 := (or #249 #159) +#61 := (not #23) +#224 := [hypothesis]: #61 +#92 := (or #77 #23) +#88 := (forall (vars (?v0 S2)) #85) +#91 := (or #88 #61) #93 := (and #92 #91) -#62 := (not #20) -#63 := (iff #62 #23) -#94 := (~ #63 #93) -#89 := (~ #88 #88) -#90 := [refl]: #89 -#86 := (~ #23 #23) +#64 := (not #20) +#65 := (iff #64 #23) +#94 := (~ #65 #93) +#73 := (~ #23 #23) +#74 := [refl]: #73 +#71 := (~ #61 #61) +#72 := [refl]: #71 +#89 := (~ #64 #88) +#86 := (~ #85 #85) #87 := [refl]: #86 -#83 := (not #62) -#84 := (~ #83 #80) -#81 := (~ #20 #80) -#82 := [sk]: #81 -#85 := [nnf-neg #82]: #84 -#76 := (~ #62 #75) -#73 := (~ #67 #67) -#74 := [refl]: #73 -#77 := [nnf-neg #74]: #76 -#95 := [nnf-pos #77 #85 #87 #90]: #94 -#41 := (not #24) -#64 := (iff #41 #63) -#65 := [rewrite]: #64 -#42 := [not-or-elim #39]: #41 -#68 := [mp #42 #65]: #63 +#90 := [nnf-neg #87]: #89 +#82 := (not #64) +#83 := (~ #82 #77) +#78 := (~ #20 #77) +#79 := [sk]: #78 +#84 := [nnf-neg #79]: #83 +#95 := [nnf-pos #84 #90 #72 #74]: #94 +#56 := (not #24) +#66 := (iff #56 #65) +#67 := [rewrite]: #66 +#58 := [not-or-elim #57]: #56 +#68 := [mp #58 #67]: #65 #96 := [mp~ #68 #95]: #93 #99 := [and-elim #96]: #92 -#507 := [unit-resolution #99 #165]: #80 -#193 := (not #80) -#172 := (or #190 #193 #97) -#508 := [def-axiom]: #172 -#491 := [unit-resolution #508 #507]: #149 -#153 := [unit-resolution #491 #177]: #97 -#191 := (not #97) -#512 := (not #98) -#154 := (or #512 #191) -#513 := (or #512 #23 #191) -#514 := [def-axiom]: #513 -#155 := [unit-resolution #514 #165]: #154 -#156 := [unit-resolution #155 #153 #187]: false -#493 := [lemma #156]: #23 -#529 := (or #524 #88) -#530 := (iff #91 #529) -#527 := (iff #75 #524) -#525 := (iff #67 #67) -#526 := [refl]: #525 -#528 := [quant-intro #526]: #527 -#531 := [monotonicity #528]: #530 +#566 := [unit-resolution #99 #224]: #77 +#252 := (not #77) +#231 := (or #249 #252 #159) +#567 := [def-axiom]: #231 +#550 := [unit-resolution #567 #566]: #208 +#212 := [unit-resolution #550 #236]: #159 +#250 := (not #159) +#571 := (not #160) +#213 := (or #571 #250) +#572 := (or #571 #23 #250) +#573 := [def-axiom]: #572 +#214 := [unit-resolution #573 #224]: #213 +#215 := [unit-resolution #214 #212 #246]: false +#552 := [lemma #215]: #23 +#588 := (or #583 #61) +#589 := (iff #91 #588) +#586 := (iff #88 #583) +#584 := (iff #85 #85) +#585 := [refl]: #584 +#587 := [quant-intro #585]: #586 +#590 := [monotonicity #587]: #589 #100 := [and-elim #96]: #91 -#532 := [mp #100 #531]: #529 -#192 := [unit-resolution #532 #493]: #524 -#505 := (not #524) -#164 := (or #505 #88) -#169 := [quant-inst #21]: #164 -[unit-resolution #169 #493 #192]: false -e77b347bc6ad4af31e73ee2068809dd306b3d8ad 73 0 -unsat +#591 := [mp #100 #590]: #588 +#251 := [unit-resolution #591 #552]: #583 +#564 := (not #583) +#223 := (or #564 #61) +#228 := [quant-inst #21]: #223 +[unit-resolution #228 #552 #251]: false +unsat +f269326ea50ac00c82433764ea1a5a8988d23a7e 81 0 #2 := false decl f1 :: S1 #3 := f1 @@ -6337,7 +5462,7 @@ #19 := f6 #20 := (f3 f4 f6) #21 := (= #20 f1) -#30 := (not #10) +#46 := (not #10) #11 := (:var 0 S1) #12 := (f3 f4 #11) #13 := (= #12 f1) @@ -6346,63 +5471,71 @@ #14 := (exists (vars (?v0 S1)) #13) #15 := (not #14) #18 := (if #10 #15 #17) -#37 := (not #18) -#38 := (or #37 #30 #21) -#43 := (not #38) +#53 := (not #18) +#62 := (or #53 #46 #21) +#65 := (not #62) #22 := (implies #10 #21) #23 := (implies #18 #22) #24 := (not #23) -#44 := (iff #24 #43) -#41 := (iff #23 #38) -#31 := (or #30 #21) -#34 := (implies #18 #31) -#39 := (iff #34 #38) -#40 := [rewrite]: #39 -#35 := (iff #23 #34) -#32 := (iff #22 #31) -#33 := [rewrite]: #32 -#36 := [monotonicity #33]: #35 -#42 := [trans #36 #40]: #41 -#45 := [monotonicity #42]: #44 -#26 := [asserted]: #24 -#46 := [mp #26 #45]: #43 -#48 := [not-or-elim #46]: #10 -#502 := (pattern #12) -#503 := (forall (vars (?v0 S1)) (:pat #502) #16) -#506 := (iff #17 #503) -#504 := (iff #16 #16) -#505 := [refl]: #504 -#507 := [quant-intro #505]: #506 -#74 := (~ #15 #17) +#68 := (iff #24 #65) +#47 := (or #46 #21) +#54 := (or #53 #47) +#59 := (not #54) +#66 := (iff #59 #65) +#63 := (iff #54 #62) +#64 := [rewrite]: #63 +#67 := [monotonicity #64]: #66 +#60 := (iff #24 #59) +#57 := (iff #23 #54) +#50 := (implies #18 #47) +#55 := (iff #50 #54) +#56 := [rewrite]: #55 +#51 := (iff #23 #50) +#48 := (iff #22 #47) +#49 := [rewrite]: #48 +#52 := [monotonicity #49]: #51 +#58 := [trans #52 #56]: #57 +#61 := [monotonicity #58]: #60 +#69 := [trans #61 #67]: #68 +#45 := [asserted]: #24 +#70 := [mp #45 #69]: #65 +#72 := [not-or-elim #70]: #10 +#569 := (pattern #12) +#570 := (forall (vars (?v0 S1)) (:pat #569) #16) +#573 := (iff #17 #570) +#571 := (iff #16 #16) +#572 := [refl]: #571 +#574 := [quant-intro #572]: #573 +#79 := (~ #15 #17) #82 := (~ #16 #16) #83 := [refl]: #82 -#75 := [nnf-neg #83]: #74 -#79 := (iff #18 #15) -#1 := true -#72 := (if true #15 #17) -#77 := (iff #72 #15) -#78 := [rewrite]: #77 -#73 := (iff #18 #72) -#70 := (iff #10 true) -#71 := [iff-true #48]: #70 -#76 := [monotonicity #71]: #73 -#80 := [trans #76 #78]: #79 -#47 := [not-or-elim #46]: #18 -#81 := [mp #47 #80]: #15 -#84 := [mp~ #81 #75]: #17 -#508 := [mp #84 #507]: #503 -#86 := (not #503) -#173 := (or #86 #30) -#87 := [quant-inst #8]: #173 -[unit-resolution #87 #508 #48]: false -5b310cc250a1d70ecf53090e27cc613cfbdee1d0 138 0 -unsat +#91 := [nnf-neg #83]: #79 +#89 := (iff #18 #15) +#1 := true +#84 := (if true #15 #17) +#87 := (iff #84 #15) +#88 := [rewrite]: #87 +#85 := (iff #18 #84) +#80 := (iff #10 true) +#81 := [iff-true #72]: #80 +#86 := [monotonicity #81]: #85 +#90 := [trans #86 #88]: #89 +#71 := [not-or-elim #70]: #18 +#78 := [mp #71 #90]: #15 +#76 := [mp~ #78 #91]: #17 +#575 := [mp #76 #574]: #570 +#154 := (not #570) +#240 := (or #154 #46) +#155 := [quant-inst #8]: #240 +[unit-resolution #155 #575 #72]: false +unsat +d1f4b96a9786562ebfa2e0c93b66635da8fcf6c8 138 0 #2 := false decl f1 :: S1 #3 := f1 decl f7 :: S1 #26 := f7 -#153 := (= f7 f1) +#215 := (= f7 f1) decl f3 :: (-> S3 S2 S1) decl f6 :: S2 #20 := f6 @@ -6412,25 +5545,25 @@ #27 := (f4 f5 f7) #31 := (f3 #27 f6) #32 := (= #31 f1) -#242 := (iff #32 #153) +#301 := (iff #32 #215) #10 := (:var 0 S2) #8 := (:var 1 S1) #9 := (f4 f5 #8) #11 := (f3 #9 #10) -#572 := (pattern #11) +#631 := (pattern #11) #13 := (= #8 f1) #12 := (= #11 f1) #14 := (iff #12 #13) -#573 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #572) #14) +#632 := (forall (vars (?v0 S1) (?v1 S2)) (:pat #631) #14) #15 := (forall (vars (?v0 S1) (?v1 S2)) #14) -#576 := (iff #15 #573) -#574 := (iff #14 #14) -#575 := [refl]: #574 -#577 := [quant-intro #575]: #576 -#84 := (~ #15 #15) -#80 := (~ #14 #14) -#81 := [refl]: #80 -#85 := [nnf-pos #81]: #84 +#635 := (iff #15 #632) +#633 := (iff #14 #14) +#634 := [refl]: #633 +#636 := [quant-intro #634]: #635 +#75 := (~ #15 #15) +#82 := (~ #14 #14) +#83 := [refl]: #82 +#76 := [nnf-pos #83]: #75 #18 := (:var 0 S1) #19 := (f4 f5 #18) #21 := (f3 #19 f6) @@ -6444,141 +5577,141 @@ #29 := (= #28 f1) #30 := (exists (vars (?v0 S2)) #29) #33 := (iff #30 #32) -#41 := (not #25) -#42 := (or #41 #33) -#45 := (not #42) +#57 := (not #25) +#58 := (or #57 #33) +#61 := (not #58) #34 := (implies #25 #33) #35 := (not #34) -#46 := (iff #35 #45) -#43 := (iff #34 #42) -#44 := [rewrite]: #43 -#47 := [monotonicity #44]: #46 -#37 := [asserted]: #35 -#48 := [mp #37 #47]: #45 -#49 := [not-or-elim #48]: #25 -#50 := [and-elim #49]: #15 -#77 := [mp~ #50 #85]: #15 -#578 := [mp #77 #577]: #573 -#245 := (not #573) -#561 := (or #245 #242) -#220 := [quant-inst #26 #20]: #561 -#247 := [unit-resolution #220 #578]: #242 +#62 := (iff #35 #61) +#59 := (iff #34 #58) +#60 := [rewrite]: #59 +#63 := [monotonicity #60]: #62 +#56 := [asserted]: #35 +#66 := [mp #56 #63]: #61 +#64 := [not-or-elim #66]: #25 +#65 := [and-elim #64]: #15 +#73 := [mp~ #65 #76]: #15 +#637 := [mp #73 #636]: #632 +#304 := (not #632) +#620 := (or #304 #301) +#279 := [quant-inst #26 #20]: #620 +#306 := [unit-resolution #279 #637]: #301 decl ?v0!3 :: S2 -#134 := ?v0!3 -#135 := (f3 #27 ?v0!3) -#136 := (= #135 f1) -#246 := (iff #136 #153) -#249 := (or #245 #246) -#228 := [quant-inst #26 #134]: #249 -#248 := [unit-resolution #228 #578]: #246 -#564 := (not #246) -#549 := (or #564 #153) -#144 := (not #32) -#604 := (pattern #28) -#126 := (not #29) -#605 := (forall (vars (?v0 S2)) (:pat #604) #126) -#154 := [hypothesis]: #32 -#610 := (or #605 #144) -#131 := (forall (vars (?v0 S2)) #126) -#147 := (or #131 #144) -#611 := (iff #147 #610) -#608 := (iff #131 #605) -#606 := (iff #126 #126) -#607 := [refl]: #606 -#609 := [quant-intro #607]: #608 -#612 := [monotonicity #609]: #611 -#148 := (or #136 #32) +#129 := ?v0!3 +#132 := (f3 #27 ?v0!3) +#133 := (= #132 f1) +#305 := (iff #133 #215) +#308 := (or #304 #305) +#287 := [quant-inst #26 #129]: #308 +#307 := [unit-resolution #287 #637]: #305 +#623 := (not #305) +#608 := (or #623 #215) +#117 := (not #32) +#663 := (pattern #28) +#141 := (not #29) +#664 := (forall (vars (?v0 S2)) (:pat #663) #141) +#216 := [hypothesis]: #32 +#669 := (or #664 #117) +#144 := (forall (vars (?v0 S2)) #141) +#147 := (or #144 #117) +#670 := (iff #147 #669) +#667 := (iff #144 #664) +#665 := (iff #141 #141) +#666 := [refl]: #665 +#668 := [quant-intro #666]: #667 +#671 := [monotonicity #668]: #670 +#148 := (or #133 #32) #149 := (and #148 #147) -#73 := (not #30) -#74 := (iff #73 #32) -#150 := (~ #74 #149) -#145 := (~ #144 #144) -#146 := [refl]: #145 -#142 := (~ #32 #32) +#77 := (not #30) +#78 := (iff #77 #32) +#150 := (~ #78 #149) +#90 := (~ #32 #32) +#128 := [refl]: #90 +#118 := (~ #117 #117) +#89 := [refl]: #118 +#145 := (~ #77 #144) +#142 := (~ #141 #141) #143 := [refl]: #142 -#139 := (not #73) -#140 := (~ #139 #136) -#137 := (~ #30 #136) -#138 := [sk]: #137 -#141 := [nnf-neg #138]: #140 -#132 := (~ #73 #131) -#127 := (~ #126 #126) -#130 := [refl]: #127 -#133 := [nnf-neg #130]: #132 -#151 := [nnf-pos #133 #141 #143 #146]: #150 -#52 := (not #33) -#75 := (iff #52 #74) -#76 := [rewrite]: #75 -#53 := [not-or-elim #48]: #52 -#79 := [mp #53 #76]: #74 -#152 := [mp~ #79 #151]: #149 +#146 := [nnf-neg #143]: #145 +#138 := (not #77) +#139 := (~ #138 #133) +#134 := (~ #30 #133) +#135 := [sk]: #134 +#140 := [nnf-neg #135]: #139 +#151 := [nnf-pos #140 #146 #89 #128]: #150 +#68 := (not #33) +#79 := (iff #68 #78) +#80 := [rewrite]: #79 +#69 := [not-or-elim #66]: #68 +#81 := [mp #69 #80]: #78 +#152 := [mp~ #81 #151]: #149 #156 := [and-elim #152]: #147 -#613 := [mp #156 #612]: #610 -#243 := [unit-resolution #613 #154]: #605 -#560 := (not #605) -#233 := (or #560 #144) -#234 := [quant-inst #20]: #233 -#567 := [unit-resolution #234 #154 #243]: false -#568 := [lemma #567]: #144 +#672 := [mp #156 #671]: #669 +#302 := [unit-resolution #672 #216]: #664 +#619 := (not #664) +#292 := (or #619 #117) +#293 := [quant-inst #20]: #292 +#626 := [unit-resolution #293 #216 #302]: false +#627 := [lemma #626]: #117 #155 := [and-elim #152]: #148 -#212 := [unit-resolution #155 #568]: #136 -#157 := (not #136) -#244 := (or #564 #157 #153) -#235 := [def-axiom]: #244 -#550 := [unit-resolution #235 #212]: #549 -#551 := [unit-resolution #550 #248]: #153 -#566 := (not #153) -#225 := (not #242) -#552 := (or #225 #566) -#562 := (or #225 #32 #566) -#221 := [def-axiom]: #562 -#553 := [unit-resolution #221 #568]: #552 -[unit-resolution #553 #551 #247]: false -0b72ca47b596bf4617b3c43ccb84578bda9d4bf9 66 0 -unsat +#271 := [unit-resolution #155 #627]: #133 +#217 := (not #133) +#303 := (or #623 #217 #215) +#294 := [def-axiom]: #303 +#609 := [unit-resolution #294 #271]: #608 +#610 := [unit-resolution #609 #307]: #215 +#625 := (not #215) +#284 := (not #301) +#611 := (or #284 #625) +#621 := (or #284 #32 #625) +#280 := [def-axiom]: #621 +#612 := [unit-resolution #280 #627]: #611 +[unit-resolution #612 #610 #306]: false +unsat +e3789d696531e28820a0701533dd90dd157ebfb7 66 0 #2 := false decl f3 :: (-> S2 S3 S4) #8 := (:var 0 S3) decl ?v0!0 :: S2 -#41 := ?v0!0 -#42 := (f3 ?v0!0 #8) -#476 := (pattern #42) +#43 := ?v0!0 +#44 := (f3 ?v0!0 #8) +#537 := (pattern #44) decl f4 :: (-> S5 S2 S3) decl f5 :: S5 #10 := f5 -#43 := (f4 f5 ?v0!0) -#44 := (f3 ?v0!0 #43) -#45 := (= #42 #44) -#50 := (not #45) -#477 := (forall (vars (?v1 S3)) (:pat #476) #50) -#257 := (not #477) -#137 := (= #44 #44) -#468 := (not #137) -#466 := (or #257 #468) -#115 := (iff #466 #257) -#467 := (or #257 false) -#113 := (iff #467 #257) -#114 := [rewrite]: #113 -#109 := (iff #466 #467) -#124 := (iff #468 false) -#1 := true -#473 := (not true) -#475 := (iff #473 false) -#465 := [rewrite]: #475 -#474 := (iff #468 #473) -#471 := (iff #137 true) -#472 := [rewrite]: #471 -#469 := [monotonicity #472]: #474 -#129 := [trans #469 #465]: #124 -#451 := [monotonicity #129]: #109 -#116 := [trans #451 #114]: #115 -#125 := [quant-inst #43]: #466 -#453 := [mp #125 #116]: #257 +#45 := (f4 f5 ?v0!0) +#46 := (f3 ?v0!0 #45) +#39 := (= #44 #46) +#50 := (not #39) +#538 := (forall (vars (?v1 S3)) (:pat #537) #50) +#199 := (not #538) +#533 := (= #46 #46) +#529 := (not #533) +#528 := (or #199 #529) +#514 := (iff #528 #199) +#512 := (or #199 false) +#176 := (iff #512 #199) +#177 := [rewrite]: #176 +#174 := (iff #528 #512) +#527 := (iff #529 false) +#1 := true +#530 := (not true) +#185 := (iff #530 false) +#190 := [rewrite]: #185 +#536 := (iff #529 #530) +#534 := (iff #533 true) +#535 := [rewrite]: #534 +#526 := [monotonicity #535]: #536 +#186 := [trans #526 #190]: #527 +#175 := [monotonicity #186]: #174 +#515 := [trans #175 #177]: #514 +#170 := [quant-inst #45]: #528 +#516 := [mp #170 #515]: #199 #53 := (forall (vars (?v1 S3)) #50) -#480 := (iff #53 #477) -#478 := (iff #50 #50) -#479 := [refl]: #478 -#481 := [quant-intro #479]: #480 +#541 := (iff #53 #538) +#539 := (iff #50 #50) +#540 := [refl]: #539 +#542 := [quant-intro #540]: #541 #7 := (:var 1 S2) #11 := (f4 f5 #7) #12 := (f3 #7 #11) @@ -6588,8 +5721,8 @@ #15 := (forall (vars (?v0 S2)) #14) #16 := (not #15) #56 := (~ #16 #53) -#46 := (exists (vars (?v1 S3)) #45) -#47 := (not #46) +#40 := (exists (vars (?v1 S3)) #39) +#47 := (not #40) #54 := (~ #47 #53) #51 := (~ #50 #50) #52 := [refl]: #51 @@ -6597,102 +5730,102 @@ #48 := (~ #16 #47) #49 := [sk]: #48 #57 := [trans #49 #55]: #56 -#18 := [asserted]: #16 -#58 := [mp~ #18 #57]: #53 -#482 := [mp #58 #481]: #477 -[unit-resolution #482 #453]: false -d60a61e097c059599bc1ac624893b062d56af4fe 88 0 -unsat +#37 := [asserted]: #16 +#58 := [mp~ #37 #57]: #53 +#543 := [mp #58 #542]: #538 +[unit-resolution #543 #516]: false +unsat +d324903e560baa1595f5a14b9effa96572ff81c3 88 0 #2 := false decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1) +decl ?v0!0 :: S2 +#58 := ?v0!0 +#59 := (f3 ?v0!0) +#60 := (= #59 f1) decl ?v0!1 :: S2 -#67 := ?v0!1 -#68 := (f3 ?v0!1) -#69 := (= #68 f1) -decl ?v0!0 :: S2 -#56 := ?v0!0 -#57 := (f3 ?v0!0) -#58 := (= #57 f1) -#93 := (not #58) -#180 := [hypothesis]: #58 +#71 := ?v0!1 +#72 := (f3 ?v0!1) +#73 := (= #72 f1) +#155 := (not #73) +#241 := [hypothesis]: #73 #7 := (:var 0 S2) #8 := (f3 #7) -#510 := (pattern #8) +#571 := (pattern #8) #9 := (= #8 f1) #13 := (not #9) -#511 := (forall (vars (?v0 S2)) (:pat #510) #13) +#572 := (forall (vars (?v0 S2)) (:pat #571) #13) #14 := (forall (vars (?v0 S2)) #13) -#514 := (iff #14 #511) -#512 := (iff #13 #13) -#513 := [refl]: #512 -#515 := [quant-intro #513]: #514 -#86 := (or #58 #69) -#89 := (and #14 #86) -#70 := (not #69) -#71 := (not #70) -#74 := (or #58 #71) -#75 := (or #14 #14) -#76 := (and #75 #74) -#90 := (iff #76 #89) -#87 := (iff #74 #86) -#84 := (iff #71 #69) -#85 := [rewrite]: #84 -#88 := [monotonicity #85]: #87 -#82 := (iff #75 #14) -#83 := [rewrite]: #82 -#91 := [monotonicity #83 #88]: #90 +#575 := (iff #14 #572) +#573 := (iff #13 #13) +#574 := [refl]: #573 +#576 := [quant-intro #574]: #575 +#90 := (or #73 #60) +#93 := (and #14 #90) +#61 := (not #60) +#53 := (not #61) +#78 := (or #73 #53) +#79 := (or #14 #14) +#80 := (and #79 #78) +#94 := (iff #80 #93) +#91 := (iff #78 #90) +#88 := (iff #53 #60) +#89 := [rewrite]: #88 +#92 := [monotonicity #89]: #91 +#86 := (iff #79 #14) +#87 := [rewrite]: #86 +#95 := [monotonicity #87 #92]: #94 #10 := (exists (vars (?v0 S2)) #9) -#31 := (iff #10 #14) -#77 := (~ #31 #76) -#15 := (not #14) -#72 := (~ #15 #71) -#73 := [sk]: #72 -#65 := (~ #14 #14) -#61 := (~ #13 #13) -#62 := [refl]: #61 -#66 := [nnf-pos #62]: #65 +#47 := (iff #10 #14) +#81 := (~ #47 #80) +#67 := (~ #14 #14) +#65 := (~ #13 #13) +#66 := [refl]: #65 +#68 := [nnf-pos #66]: #67 +#15 := (not #14) +#55 := (~ #15 #53) +#62 := [sk]: #55 +#74 := (~ #10 #73) +#75 := [sk]: #74 #11 := (not #10) -#63 := (~ #11 #14) -#64 := [nnf-neg #62]: #63 -#59 := (~ #10 #58) -#60 := [sk]: #59 -#78 := [nnf-pos #60 #64 #66 #73]: #77 +#69 := (~ #11 #14) +#70 := [nnf-neg #66]: #69 +#82 := [nnf-pos #70 #75 #62 #68]: #81 #12 := (not #11) #16 := (iff #12 #15) #17 := (not #16) -#34 := (iff #17 #31) -#25 := (iff #10 #15) -#28 := (not #25) -#32 := (iff #28 #31) -#33 := [rewrite]: #32 -#29 := (iff #17 #28) -#26 := (iff #16 #25) -#23 := (iff #12 #10) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#30 := [monotonicity #27]: #29 -#35 := [trans #30 #33]: #34 -#19 := [asserted]: #17 -#36 := [mp #19 #35]: #31 -#79 := [mp~ #36 #78]: #76 -#80 := [mp #79 #91]: #89 -#81 := [and-elim #80]: #14 -#516 := [mp #81 #515]: #511 -#181 := (not #511) -#95 := (or #181 #93) -#182 := [quant-inst #56]: #95 -#94 := [unit-resolution #182 #516 #180]: false -#173 := [lemma #94]: #93 -#92 := [and-elim #80]: #86 -#184 := [unit-resolution #92 #173]: #69 -#186 := (or #181 #70) -#183 := [quant-inst #67]: #186 -[unit-resolution #183 #516 #184]: false -6922ad0f6e3b3d7df4f6fe17773064fca3f13ce2 98 0 +#50 := (iff #17 #47) +#41 := (iff #10 #15) +#44 := (not #41) +#48 := (iff #44 #47) +#49 := [rewrite]: #48 +#45 := (iff #17 #44) +#42 := (iff #16 #41) +#39 := (iff #12 #10) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#46 := [monotonicity #43]: #45 +#51 := [trans #46 #49]: #50 +#38 := [asserted]: #17 +#54 := [mp #38 #51]: #47 +#83 := [mp~ #54 #82]: #80 +#84 := [mp #83 #95]: #93 +#85 := [and-elim #84]: #14 +#577 := [mp #85 #576]: #572 +#242 := (not #572) +#157 := (or #242 #155) +#243 := [quant-inst #71]: #157 +#156 := [unit-resolution #243 #577 #241]: false +#234 := [lemma #156]: #155 +#96 := [and-elim #84]: #90 +#245 := [unit-resolution #96 #234]: #60 +#247 := (or #242 #61) +#244 := [quant-inst #58]: #247 +[unit-resolution #244 #577 #245]: false +unsat +3de5495059db2c9339efaef2e05436267d6715ae 98 0 WARNING: failed to find a pattern for quantifier (quantifier id: k!16) -unsat #2 := false decl f3 :: (-> S2 S3 S4 S5 S6) decl f6 :: (-> S8 S4 S5) @@ -6701,47 +5834,47 @@ #64 := (?v2!1 #63) decl f7 :: (-> S9 S2 S8) decl ?v0!0 :: S2 -#48 := ?v0!0 +#50 := ?v0!0 decl f8 :: S9 #14 := f8 -#51 := (f7 f8 ?v0!0) -#66 := (f6 #51 #64) +#53 := (f7 f8 ?v0!0) +#66 := (f6 #53 #64) decl f4 :: (-> S7 S2 S3) decl f5 :: S7 #12 := f5 -#50 := (f4 f5 ?v0!0) -#67 := (f3 ?v0!0 #50 #64 #66) +#52 := (f4 f5 ?v0!0) +#67 := (f3 ?v0!0 #52 #64 #66) #10 := (:var 0 S5) #65 := (f3 ?v0!0 #63 #64 #10) #68 := (= #65 #67) #61 := (not #68) #88 := (forall (vars (?v1 S3) (?v3 S5)) #61) -#502 := (not #88) -#192 := (?v2!1 #50) -#471 := (f6 #51 #192) -#169 := (f3 ?v0!0 #50 #192 #471) -#131 := (= #169 #169) -#310 := (not #131) -#323 := (or #502 #310) -#304 := (iff #323 #502) -#300 := (or #502 false) -#303 := (iff #300 #502) -#286 := [rewrite]: #303 -#301 := (iff #323 #300) -#422 := (iff #310 false) -#1 := true -#490 := (not true) -#325 := (iff #490 false) -#420 := [rewrite]: #325 -#203 := (iff #310 #490) -#452 := (iff #131 true) -#477 := [rewrite]: #452 -#440 := [monotonicity #477]: #203 -#307 := [trans #440 #420]: #422 -#302 := [monotonicity #307]: #301 -#274 := [trans #302 #286]: #304 -#299 := [quant-inst #50 #471]: #323 -#275 := [mp #299 #274]: #502 +#543 := (not #88) +#541 := (?v2!1 #52) +#530 := (f6 #53 #541) +#534 := (f3 ?v0!0 #52 #541 #530) +#525 := (= #534 #534) +#520 := (not #525) +#371 := (or #543 #520) +#517 := (iff #371 #543) +#514 := (or #543 false) +#510 := (iff #514 #543) +#511 := [rewrite]: #510 +#515 := (iff #371 #514) +#369 := (iff #520 false) +#1 := true +#539 := (not true) +#522 := (iff #539 false) +#528 := [rewrite]: #522 +#536 := (iff #520 #539) +#526 := (iff #525 true) +#555 := [rewrite]: #526 +#527 := [monotonicity #555]: #536 +#370 := [trans #527 #528]: #369 +#516 := [monotonicity #370]: #515 +#518 := [trans #516 #511]: #517 +#513 := [quant-inst #52 #530]: #371 +#512 := [mp #513 #518]: #543 #75 := (forall (vars (?v3 S5)) #61) #80 := (forall (vars (?v1 S3)) #75) #89 := (iff #80 #88) @@ -6761,10 +5894,10 @@ #22 := (forall (vars (?v0 S2)) #21) #23 := (not #22) #83 := (~ #23 #80) -#52 := (f6 #51 #9) -#53 := (f3 ?v0!0 #50 #9 #52) -#49 := (f3 ?v0!0 #8 #9 #10) -#54 := (= #49 #53) +#46 := (f6 #53 #9) +#47 := (f3 ?v0!0 #52 #9 #46) +#51 := (f3 ?v0!0 #8 #9 #10) +#54 := (= #51 #47) #55 := (exists (vars (?v3 S5)) #54) #56 := (forall (vars (?v2 S4)) #55) #57 := (exists (vars (?v1 S3)) #56) @@ -6785,12 +5918,12 @@ #59 := (~ #23 #58) #60 := [sk]: #59 #84 := [trans #60 #82]: #83 -#25 := [asserted]: #23 -#85 := [mp~ #25 #84]: #80 +#44 := [asserted]: #23 +#85 := [mp~ #44 #84]: #80 #86 := [mp #85 #90]: #88 -[unit-resolution #86 #275]: false -5766ec783f34908a29512d5f77d60ab824e52afb 67 0 -unsat +[unit-resolution #86 #512]: false +unsat +c05210ac4c810516250c979692bf95e10f79efbc 67 0 #2 := false decl f4 :: (-> S4 S2 S3) #10 := (:var 1 S2) @@ -6815,50 +5948,50 @@ #23 := (if #9 #14 #22) #24 := (exists (vars (?v0 S2)) #23) #25 := (not #24) -#68 := (iff #25 false) -#1 := true -#63 := (not true) -#66 := (iff #63 false) -#67 := [rewrite]: #66 -#64 := (iff #25 #63) -#61 := (iff #24 true) -#56 := (exists (vars (?v0 S2)) true) -#59 := (iff #56 true) -#60 := [elim-unused]: #59 -#57 := (iff #24 #56) -#54 := (iff #23 true) -#49 := (if #9 true true) +#84 := (iff #25 false) +#1 := true +#79 := (not true) +#82 := (iff #79 false) +#83 := [rewrite]: #82 +#80 := (iff #25 #79) +#77 := (iff #24 true) +#72 := (exists (vars (?v0 S2)) true) +#75 := (iff #72 true) +#76 := [elim-unused]: #75 +#73 := (iff #24 #72) +#70 := (iff #23 true) +#65 := (if #9 true true) +#68 := (iff #65 true) +#69 := [rewrite]: #68 +#66 := (iff #23 #65) +#63 := (iff #22 true) +#58 := (forall (vars (?v1 S3)) true) +#61 := (iff #58 true) +#62 := [elim-unused]: #61 +#59 := (iff #22 #58) +#56 := (iff #21 true) +#57 := [rewrite]: #56 +#60 := [quant-intro #57]: #59 +#64 := [trans #60 #62]: #63 +#54 := (iff #14 true) +#49 := (forall (vars (?v1 S2)) true) #52 := (iff #49 true) -#53 := [rewrite]: #52 -#50 := (iff #23 #49) -#47 := (iff #22 true) -#42 := (forall (vars (?v1 S3)) true) -#45 := (iff #42 true) -#46 := [elim-unused]: #45 -#43 := (iff #22 #42) -#40 := (iff #21 true) -#41 := [rewrite]: #40 -#44 := [quant-intro #41]: #43 -#48 := [trans #44 #46]: #47 -#38 := (iff #14 true) -#33 := (forall (vars (?v1 S2)) true) -#36 := (iff #33 true) -#37 := [elim-unused]: #36 -#34 := (iff #14 #33) -#31 := (iff #13 true) -#32 := [rewrite]: #31 -#35 := [quant-intro #32]: #34 -#39 := [trans #35 #37]: #38 -#51 := [monotonicity #39 #48]: #50 +#53 := [elim-unused]: #52 +#50 := (iff #14 #49) +#47 := (iff #13 true) +#48 := [rewrite]: #47 +#51 := [quant-intro #48]: #50 #55 := [trans #51 #53]: #54 -#58 := [quant-intro #55]: #57 -#62 := [trans #58 #60]: #61 -#65 := [monotonicity #62]: #64 -#69 := [trans #65 #67]: #68 -#27 := [asserted]: #25 -[mp #27 #69]: false -d50ade7a66202a86d82309f756df6dcdc43ac7f2 64 0 -unsat +#67 := [monotonicity #55 #64]: #66 +#71 := [trans #67 #69]: #70 +#74 := [quant-intro #71]: #73 +#78 := [trans #74 #76]: #77 +#81 := [monotonicity #78]: #80 +#85 := [trans #81 #83]: #84 +#46 := [asserted]: #25 +[mp #46 #85]: false +unsat +954b31fcb23d6bdcc4d8c96fd318c51c72effd7f 64 0 #2 := false decl f4 :: (-> S4 S2 S3) #10 := (:var 1 S2) @@ -6883,294 +6016,294 @@ #23 := (if #9 #14 #22) #24 := (exists (vars (?v0 S2)) #23) #25 := (not #24) -#65 := (iff #25 false) -#1 := true -#60 := (not true) -#63 := (iff #60 false) -#64 := [rewrite]: #63 -#61 := (iff #25 #60) -#58 := (iff #24 true) -#33 := (exists (vars (?v1 S2)) true) -#36 := (iff #33 true) -#37 := [elim-unused]: #36 -#56 := (iff #24 #33) -#54 := (iff #23 true) -#49 := (if #9 true true) +#81 := (iff #25 false) +#1 := true +#76 := (not true) +#79 := (iff #76 false) +#80 := [rewrite]: #79 +#77 := (iff #25 #76) +#74 := (iff #24 true) +#49 := (exists (vars (?v1 S2)) true) #52 := (iff #49 true) -#53 := [rewrite]: #52 -#50 := (iff #23 #49) -#47 := (iff #22 true) -#42 := (exists (vars (?v1 S3)) true) -#45 := (iff #42 true) -#46 := [elim-unused]: #45 -#43 := (iff #22 #42) -#40 := (iff #21 true) -#41 := [rewrite]: #40 -#44 := [quant-intro #41]: #43 -#48 := [trans #44 #46]: #47 -#38 := (iff #14 true) -#34 := (iff #14 #33) -#31 := (iff #13 true) -#32 := [rewrite]: #31 -#35 := [quant-intro #32]: #34 -#39 := [trans #35 #37]: #38 -#51 := [monotonicity #39 #48]: #50 +#53 := [elim-unused]: #52 +#72 := (iff #24 #49) +#70 := (iff #23 true) +#65 := (if #9 true true) +#68 := (iff #65 true) +#69 := [rewrite]: #68 +#66 := (iff #23 #65) +#63 := (iff #22 true) +#58 := (exists (vars (?v1 S3)) true) +#61 := (iff #58 true) +#62 := [elim-unused]: #61 +#59 := (iff #22 #58) +#56 := (iff #21 true) +#57 := [rewrite]: #56 +#60 := [quant-intro #57]: #59 +#64 := [trans #60 #62]: #63 +#54 := (iff #14 true) +#50 := (iff #14 #49) +#47 := (iff #13 true) +#48 := [rewrite]: #47 +#51 := [quant-intro #48]: #50 #55 := [trans #51 #53]: #54 -#57 := [quant-intro #55]: #56 -#59 := [trans #57 #37]: #58 -#62 := [monotonicity #59]: #61 -#66 := [trans #62 #64]: #65 -#27 := [asserted]: #25 -[mp #27 #66]: false -d9ff4d0f7d0f6b7f97a94ecc044fa5ef73c485d9 154 0 -unsat +#67 := [monotonicity #55 #64]: #66 +#71 := [trans #67 #69]: #70 +#73 := [quant-intro #71]: #72 +#75 := [trans #73 #53]: #74 +#78 := [monotonicity #75]: #77 +#82 := [trans #78 #80]: #81 +#46 := [asserted]: #25 +[mp #46 #82]: false +unsat +f51403ccc25360b96d5b86de9da670599bc2bdd5 154 0 #2 := false decl f3 :: (-> S2 S1) #10 := (:var 0 S2) #11 := (f3 #10) -#524 := (pattern #11) +#583 := (pattern #11) decl f1 :: S1 #3 := f1 #12 := (= #11 f1) -#74 := (not #12) -#540 := (forall (vars (?v0 S2)) (:pat #524) #74) -decl ?v0!2 :: S2 -#92 := ?v0!2 -#93 := (f3 ?v0!2) -#94 := (= #93 f1) +#95 := (not #12) +#599 := (forall (vars (?v0 S2)) (:pat #583) #95) +decl ?v0!1 :: S2 +#72 := ?v0!1 +#73 := (f3 ?v0!1) +#74 := (= #73 f1) decl ?v0!0 :: S2 #63 := ?v0!0 #64 := (f3 ?v0!0) -#65 := (= #64 f1) -#105 := (iff #65 #94) -#513 := (not #105) -#521 := [hypothesis]: #513 -#66 := (iff #65 #12) -#525 := (forall (vars (?v1 S2)) (:pat #524) #66) -#60 := (forall (vars (?v1 S2)) #66) -#528 := (iff #60 #525) -#526 := (iff #66 #66) -#527 := [refl]: #526 -#529 := [quant-intro #527]: #528 +#56 := (= #64 f1) +#167 := (iff #56 #74) +#572 := (not #167) +#580 := [hypothesis]: #572 +#57 := (iff #56 #12) +#584 := (forall (vars (?v1 S2)) (:pat #583) #57) +#54 := (forall (vars (?v1 S2)) #57) +#587 := (iff #54 #584) +#585 := (iff #57 #57) +#586 := [refl]: #585 +#588 := [quant-intro #586]: #587 #7 := (:var 1 S2) #8 := (f3 #7) #9 := (= #8 f1) #13 := (iff #9 #12) #14 := (forall (vars (?v1 S2)) #13) #15 := (exists (vars (?v0 S2)) #14) -#61 := (~ #15 #60) -#70 := (~ #60 #60) -#68 := (~ #66 #66) -#69 := [refl]: #68 -#71 := [nnf-pos #69]: #70 -#67 := [sk]: #61 -#72 := [trans #67 #71]: #61 +#55 := (~ #15 #54) +#68 := (~ #54 #54) +#66 := (~ #57 #57) +#67 := [refl]: #66 +#69 := [nnf-pos #67]: #68 +#65 := [sk]: #55 +#70 := [trans #65 #69]: #55 #17 := (forall (vars (?v0 S2)) #12) #16 := (exists (vars (?v0 S2)) #12) #18 := (iff #16 #17) -#26 := (not #15) -#27 := (or #26 #18) -#30 := (not #27) +#42 := (not #15) +#43 := (or #42 #18) +#46 := (not #43) #19 := (implies #15 #18) #20 := (not #19) -#31 := (iff #20 #30) -#28 := (iff #19 #27) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#22 := [asserted]: #20 -#33 := [mp #22 #32]: #30 -#34 := [not-or-elim #33]: #15 -#73 := [mp~ #34 #72]: #60 -#530 := [mp #73 #529]: #525 -#195 := (not #525) -#517 := (or #195 #105) -#523 := [quant-inst #92]: #517 -#522 := [unit-resolution #523 #530 #521]: false -#505 := [lemma #522]: #105 -#500 := (or #513 #94) -#200 := (not #65) -#109 := [hypothesis]: #200 -#531 := (forall (vars (?v0 S2)) (:pat #524) #12) -decl ?v0!1 :: S2 -#80 := ?v0!1 -#81 := (f3 ?v0!1) -#82 := (= #81 f1) -#187 := (not #82) -#196 := (or #65 #187) -#194 := (iff #65 #82) -#186 := (not #194) -#106 := [hypothesis]: #186 -#512 := (or #195 #194) -#185 := [quant-inst #80]: #512 -#305 := [unit-resolution #185 #530 #106]: false -#514 := [lemma #305]: #194 -#198 := (or #186 #65 #187) -#199 := [def-axiom]: #198 -#164 := [unit-resolution #199 #514]: #196 -#501 := [unit-resolution #164 #109]: #187 -#536 := (or #82 #531) -#100 := (or #82 #17) -#537 := (iff #100 #536) -#534 := (iff #17 #531) -#532 := (iff #12 #12) -#533 := [refl]: #532 -#535 := [quant-intro #533]: #534 -#538 := [monotonicity #535]: #537 -#95 := (not #94) -#77 := (forall (vars (?v0 S2)) #74) -#99 := (or #77 #95) -#101 := (and #100 #99) -#56 := (not #16) -#57 := (iff #56 #17) -#102 := (~ #57 #101) -#96 := (not #17) -#97 := (~ #96 #95) -#98 := [sk]: #97 -#90 := (~ #17 #17) -#88 := (~ #12 #12) -#89 := [refl]: #88 -#91 := [nnf-pos #89]: #90 -#85 := (not #56) -#86 := (~ #85 #82) -#83 := (~ #16 #82) -#84 := [sk]: #83 -#87 := [nnf-neg #84]: #86 -#78 := (~ #56 #77) -#75 := (~ #74 #74) -#76 := [refl]: #75 -#79 := [nnf-neg #76]: #78 -#103 := [nnf-pos #79 #87 #91 #98]: #102 -#35 := (not #18) -#58 := (iff #35 #57) -#59 := [rewrite]: #58 -#36 := [not-or-elim #33]: #35 -#62 := [mp #36 #59]: #57 -#104 := [mp~ #62 #103]: #101 -#107 := [and-elim #104]: #100 -#539 := [mp #107 #538]: #536 -#502 := [unit-resolution #539 #501]: #531 -#157 := (not #531) -#499 := (or #157 #65) -#161 := [quant-inst #63]: #499 -#503 := [unit-resolution #161 #502 #109]: false -#504 := [lemma #503]: #65 -#173 := (or #513 #200 #94) -#515 := [def-axiom]: #173 -#506 := [unit-resolution #515 #504]: #500 -#510 := [unit-resolution #506 #505]: #94 -#545 := (or #540 #95) -#546 := (iff #99 #545) -#543 := (iff #77 #540) -#541 := (iff #74 #74) -#542 := [refl]: #541 -#544 := [quant-intro #542]: #543 -#547 := [monotonicity #544]: #546 -#108 := [and-elim #104]: #99 -#548 := [mp #108 #547]: #545 -#508 := [unit-resolution #548 #510]: #540 -#511 := (or #200 #82) -#197 := (or #186 #200 #82) -#201 := [def-axiom]: #197 -#497 := [unit-resolution #201 #514]: #511 -#498 := [unit-resolution #497 #504]: #82 -#143 := (not #540) -#507 := (or #143 #187) -#509 := [quant-inst #80]: #507 -[unit-resolution #509 #498 #508]: false -d534bf4d94631425253e66e919c95e7c6095820e 91 0 -unsat +#47 := (iff #20 #46) +#44 := (iff #19 #43) +#45 := [rewrite]: #44 +#48 := [monotonicity #45]: #47 +#41 := [asserted]: #20 +#51 := [mp #41 #48]: #46 +#49 := [not-or-elim #51]: #15 +#71 := [mp~ #49 #70]: #54 +#589 := [mp #71 #588]: #584 +#254 := (not #584) +#576 := (or #254 #167) +#582 := [quant-inst #72]: #576 +#581 := [unit-resolution #582 #589 #580]: false +#564 := [lemma #581]: #167 +#559 := (or #572 #74) +#259 := (not #56) +#169 := [hypothesis]: #259 +#590 := (forall (vars (?v0 S2)) (:pat #583) #12) +decl ?v0!2 :: S2 +#85 := ?v0!2 +#86 := (f3 ?v0!2) +#87 := (= #86 f1) +#246 := (not #87) +#255 := (or #56 #246) +#253 := (iff #56 #87) +#245 := (not #253) +#168 := [hypothesis]: #245 +#571 := (or #254 #253) +#244 := [quant-inst #85]: #571 +#364 := [unit-resolution #244 #589 #168]: false +#573 := [lemma #364]: #253 +#257 := (or #245 #56 #246) +#258 := [def-axiom]: #257 +#223 := [unit-resolution #258 #573]: #255 +#560 := [unit-resolution #223 #169]: #246 +#595 := (or #87 #590) +#102 := (or #87 #17) +#596 := (iff #102 #595) +#593 := (iff #17 #590) +#591 := (iff #12 #12) +#592 := [refl]: #591 +#594 := [quant-intro #592]: #593 +#597 := [monotonicity #594]: #596 +#75 := (not #74) +#98 := (forall (vars (?v0 S2)) #95) +#101 := (or #98 #75) +#103 := (and #102 #101) +#58 := (not #16) +#59 := (iff #58 #17) +#104 := (~ #59 #103) +#83 := (~ #17 #17) +#81 := (~ #12 #12) +#82 := [refl]: #81 +#84 := [nnf-pos #82]: #83 +#76 := (not #17) +#77 := (~ #76 #75) +#78 := [sk]: #77 +#99 := (~ #58 #98) +#96 := (~ #95 #95) +#97 := [refl]: #96 +#100 := [nnf-neg #97]: #99 +#92 := (not #58) +#93 := (~ #92 #87) +#88 := (~ #16 #87) +#89 := [sk]: #88 +#94 := [nnf-neg #89]: #93 +#105 := [nnf-pos #94 #100 #78 #84]: #104 +#50 := (not #18) +#60 := (iff #50 #59) +#61 := [rewrite]: #60 +#52 := [not-or-elim #51]: #50 +#62 := [mp #52 #61]: #59 +#106 := [mp~ #62 #105]: #103 +#109 := [and-elim #106]: #102 +#598 := [mp #109 #597]: #595 +#561 := [unit-resolution #598 #560]: #590 +#216 := (not #590) +#558 := (or #216 #56) +#220 := [quant-inst #63]: #558 +#562 := [unit-resolution #220 #561 #169]: false +#563 := [lemma #562]: #56 +#232 := (or #572 #259 #74) +#574 := [def-axiom]: #232 +#565 := [unit-resolution #574 #563]: #559 +#569 := [unit-resolution #565 #564]: #74 +#604 := (or #599 #75) +#605 := (iff #101 #604) +#602 := (iff #98 #599) +#600 := (iff #95 #95) +#601 := [refl]: #600 +#603 := [quant-intro #601]: #602 +#606 := [monotonicity #603]: #605 +#110 := [and-elim #106]: #101 +#607 := [mp #110 #606]: #604 +#567 := [unit-resolution #607 #569]: #599 +#570 := (or #259 #87) +#256 := (or #245 #259 #87) +#260 := [def-axiom]: #256 +#556 := [unit-resolution #260 #573]: #570 +#557 := [unit-resolution #556 #563]: #87 +#202 := (not #599) +#566 := (or #202 #246) +#568 := [quant-inst #85]: #566 +[unit-resolution #568 #557 #567]: false +unsat +3bee024f02f6d6345f10af17fc9f9efaf0eafdfa 91 0 #2 := false decl f3 :: (-> S2 S1) #7 := (:var 0 S2) #8 := (f3 #7) -#501 := (pattern #8) +#562 := (pattern #8) decl f1 :: S1 #3 := f1 decl ?v1!0 :: S2 -#52 := ?v1!0 -#53 := (f3 ?v1!0) -#54 := (= #53 f1) +#54 := ?v1!0 +#46 := (f3 ?v1!0) +#48 := (= #46 f1) #9 := (= #8 f1) -#19 := (not #9) -#68 := (or #19 #54) -#77 := (not #68) -#502 := (forall (vars (?v0 S2)) (:pat #501) #77) -#178 := (not #502) -#55 := (not #54) -#493 := (or #55 #54) -#282 := (not #493) -#138 := (or #178 #282) -#481 := (iff #138 #178) -#140 := (or #178 false) -#479 := (iff #140 #178) -#480 := [rewrite]: #479 -#141 := (iff #138 #140) -#134 := (iff #282 false) -#1 := true -#149 := (not true) -#150 := (iff #149 false) -#492 := [rewrite]: #150 -#154 := (iff #282 #149) -#500 := (iff #493 true) -#490 := [rewrite]: #500 -#491 := [monotonicity #490]: #154 -#476 := [trans #491 #492]: #134 -#478 := [monotonicity #476]: #141 -#482 := [trans #478 #480]: #481 -#139 := [quant-inst #52]: #138 -#477 := [mp #139 #482]: #178 -#80 := (forall (vars (?v0 S2)) #77) -#505 := (iff #80 #502) -#503 := (iff #77 #77) -#504 := [refl]: #503 -#506 := [quant-intro #504]: #505 -#71 := (and #9 #55) -#74 := (forall (vars (?v0 S2)) #71) -#81 := (iff #74 #80) -#78 := (iff #71 #77) -#79 := [rewrite]: #78 +#35 := (not #9) +#59 := (or #35 #48) +#60 := (not #59) +#563 := (forall (vars (?v0 S2)) (:pat #562) #60) +#212 := (not #563) +#55 := (not #48) +#343 := (or #55 #48) +#556 := (not #343) +#201 := (or #212 #556) +#538 := (iff #201 #212) +#539 := (or #212 false) +#542 := (iff #539 #212) +#543 := [rewrite]: #542 +#540 := (iff #201 #539) +#199 := (iff #556 false) +#1 := true +#552 := (not true) +#195 := (iff #552 false) +#537 := [rewrite]: #195 +#211 := (iff #556 #552) +#210 := (iff #343 true) +#215 := [rewrite]: #210 +#553 := [monotonicity #215]: #211 +#200 := [trans #553 #537]: #199 +#541 := [monotonicity #200]: #540 +#544 := [trans #541 #543]: #538 +#202 := [quant-inst #54]: #201 +#181 := [mp #202 #544]: #212 +#80 := (forall (vars (?v0 S2)) #60) +#566 := (iff #80 #563) +#564 := (iff #60 #60) +#565 := [refl]: #564 +#567 := [quant-intro #565]: #566 +#73 := (and #9 #55) +#76 := (forall (vars (?v0 S2)) #73) +#81 := (iff #76 #80) +#70 := (iff #73 #60) +#79 := [rewrite]: #70 #82 := [quant-intro #79]: #81 -#49 := (not #19) -#59 := (and #49 #55) -#63 := (forall (vars (?v0 S2)) #59) -#75 := (iff #63 #74) -#72 := (iff #59 #71) -#69 := (iff #49 #9) -#70 := [rewrite]: #69 -#73 := [monotonicity #70]: #72 -#76 := [quant-intro #73]: #75 +#51 := (not #35) +#61 := (and #51 #55) +#65 := (forall (vars (?v0 S2)) #61) +#77 := (iff #65 #76) +#74 := (iff #61 #73) +#71 := (iff #51 #9) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#78 := [quant-intro #75]: #77 #10 := (forall (vars (?v1 S2)) #9) -#20 := (or #19 #10) -#23 := (exists (vars (?v0 S2)) #20) -#26 := (not #23) -#64 := (~ #26 #63) -#60 := (not #20) -#61 := (~ #60 #59) +#36 := (or #35 #10) +#39 := (exists (vars (?v0 S2)) #36) +#42 := (not #39) +#66 := (~ #42 #65) +#62 := (not #36) +#63 := (~ #62 #61) #56 := (not #10) #57 := (~ #56 #55) #58 := [sk]: #57 -#50 := (~ #49 #49) -#51 := [refl]: #50 -#62 := [nnf-neg #51 #58]: #61 -#65 := [nnf-neg #62]: #64 +#52 := (~ #51 #51) +#53 := [refl]: #52 +#64 := [nnf-neg #53 #58]: #63 +#67 := [nnf-neg #64]: #66 #11 := (implies #9 #10) #12 := (exists (vars (?v0 S2)) #11) #13 := (not #12) -#27 := (iff #13 #26) -#24 := (iff #12 #23) -#21 := (iff #11 #20) -#22 := [rewrite]: #21 -#25 := [quant-intro #22]: #24 -#28 := [monotonicity #25]: #27 -#15 := [asserted]: #13 -#29 := [mp #15 #28]: #26 -#66 := [mp~ #29 #65]: #63 -#67 := [mp #66 #76]: #74 -#83 := [mp #67 #82]: #80 -#507 := [mp #83 #506]: #502 -[unit-resolution #507 #477]: false -d77b8725117f9972715128acd88585ba586b4971 86 0 -unsat +#43 := (iff #13 #42) +#40 := (iff #12 #39) +#37 := (iff #11 #36) +#38 := [rewrite]: #37 +#41 := [quant-intro #38]: #40 +#44 := [monotonicity #41]: #43 +#34 := [asserted]: #13 +#47 := [mp #34 #44]: #42 +#68 := [mp~ #47 #67]: #65 +#69 := [mp #68 #78]: #76 +#83 := [mp #69 #82]: #80 +#568 := [mp #83 #567]: #563 +[unit-resolution #568 #181]: false +unsat +45134300a71a5bae52258f9afddcfb2800b39351 86 0 #2 := false decl f1 :: S1 #3 := f1 @@ -7178,348 +6311,369 @@ decl ?v0!0 :: S2 #60 := ?v0!0 decl ?v0!1 :: S3 -#68 := ?v0!1 -#149 := (f3 ?v0!1 ?v0!0) -#493 := (= #149 f1) -#499 := (not #493) +#70 := ?v0!1 +#549 := (f3 ?v0!1 ?v0!0) +#188 := (= #549 f1) +#189 := (not #188) #14 := (:var 0 S2) -#69 := (f3 ?v0!1 #14) -#508 := (pattern #69) -#70 := (= #69 f1) -#75 := (not #70) -#509 := (forall (vars (?v1 S2)) (:pat #508) #75) -#78 := (forall (vars (?v1 S2)) #75) -#512 := (iff #78 #509) -#510 := (iff #75 #75) -#511 := [refl]: #510 -#513 := [quant-intro #511]: #512 +#71 := (f3 ?v0!1 #14) +#571 := (pattern #71) +#72 := (= #71 f1) +#77 := (not #72) +#572 := (forall (vars (?v1 S2)) (:pat #571) #77) +#80 := (forall (vars (?v1 S2)) #77) +#575 := (iff #80 #572) +#573 := (iff #77 #77) +#574 := [refl]: #573 +#576 := [quant-intro #574]: #575 #13 := (:var 1 S3) #15 := (f3 #13 #14) #16 := (= #15 f1) #17 := (exists (vars (?v1 S2)) #16) #18 := (forall (vars (?v0 S3)) #17) -#35 := (not #18) -#81 := (~ #35 #78) -#71 := (exists (vars (?v1 S2)) #70) -#72 := (not #71) -#79 := (~ #72 #78) -#76 := (~ #75 #75) -#77 := [refl]: #76 -#80 := [nnf-neg #77]: #79 -#73 := (~ #35 #72) -#74 := [sk]: #73 -#82 := [trans #74 #80]: #81 +#50 := (not #18) +#83 := (~ #50 #80) +#73 := (exists (vars (?v1 S2)) #72) +#74 := (not #73) +#81 := (~ #74 #80) +#78 := (~ #77 #77) +#79 := [refl]: #78 +#82 := [nnf-neg #79]: #81 +#75 := (~ #50 #74) +#76 := [sk]: #75 +#84 := [trans #76 #82]: #83 #8 := (:var 1 S2) #7 := (:var 0 S3) #9 := (f3 #7 #8) #10 := (= #9 f1) #11 := (forall (vars (?v1 S3)) #10) #12 := (exists (vars (?v0 S2)) #11) -#26 := (not #12) -#27 := (or #26 #18) -#30 := (not #27) +#42 := (not #12) +#43 := (or #42 #18) +#46 := (not #43) #19 := (implies #12 #18) #20 := (not #19) -#31 := (iff #20 #30) -#28 := (iff #19 #27) -#29 := [rewrite]: #28 -#32 := [monotonicity #29]: #31 -#22 := [asserted]: #20 -#33 := [mp #22 #32]: #30 -#36 := [not-or-elim #33]: #35 -#83 := [mp~ #36 #82]: #78 -#514 := [mp #83 #513]: #509 -#150 := (not #509) -#492 := (or #150 #499) -#134 := [quant-inst #60]: #492 -#154 := [unit-resolution #134 #514]: #499 +#47 := (iff #20 #46) +#44 := (iff #19 #43) +#45 := [rewrite]: #44 +#48 := [monotonicity #45]: #47 +#41 := [asserted]: #20 +#51 := [mp #41 #48]: #46 +#52 := [not-or-elim #51]: #50 +#85 := [mp~ #52 #84]: #80 +#577 := [mp #85 #576]: #572 +#550 := (not #572) +#548 := (or #550 #189) +#551 := [quant-inst #60]: #548 +#543 := [unit-resolution #551 #577]: #189 #61 := (f3 #7 ?v0!0) -#501 := (pattern #61) -#56 := (= #61 f1) -#502 := (forall (vars (?v1 S3)) (:pat #501) #56) -#57 := (forall (vars (?v1 S3)) #56) -#505 := (iff #57 #502) -#503 := (iff #56 #56) -#504 := [refl]: #503 -#506 := [quant-intro #504]: #505 -#58 := (~ #12 #57) -#64 := (~ #57 #57) -#62 := (~ #56 #56) -#63 := [refl]: #62 -#65 := [nnf-pos #63]: #64 -#59 := [sk]: #58 -#66 := [trans #59 #65]: #58 -#34 := [not-or-elim #33]: #12 -#67 := [mp~ #34 #66]: #57 -#507 := [mp #67 #506]: #502 -#489 := (not #502) -#476 := (or #489 #493) -#138 := [quant-inst #68]: #476 -[unit-resolution #138 #507 #154]: false -9638ce96f32e5b3c45238a3f152e07fc20508886 86 0 -unsat +#564 := (pattern #61) +#62 := (= #61 f1) +#565 := (forall (vars (?v1 S3)) (:pat #564) #62) +#63 := (forall (vars (?v1 S3)) #62) +#568 := (iff #63 #565) +#566 := (iff #62 #62) +#567 := [refl]: #566 +#569 := [quant-intro #567]: #568 +#54 := (~ #12 #63) +#66 := (~ #63 #63) +#64 := (~ #62 #62) +#65 := [refl]: #64 +#67 := [nnf-pos #65]: #66 +#55 := [sk]: #54 +#68 := [trans #55 #67]: #54 +#49 := [not-or-elim #51]: #12 +#69 := [mp~ #49 #68]: #63 +#570 := [mp #69 #569]: #565 +#557 := (not #565) +#537 := (or #557 #188) +#538 := [quant-inst #70]: #537 +[unit-resolution #538 #570 #543]: false +unsat +495d743f85fbd7a7c1dc6d3a6d586246681b024f 86 0 #2 := false decl f3 :: (-> S2 S1) #7 := (:var 0 S2) #8 := (f3 #7) -#516 := (pattern #8) +#579 := (pattern #8) decl f1 :: S1 #3 := f1 #9 := (= #8 f1) -#24 := (not #9) -#523 := (forall (vars (?v0 S2)) (:pat #516) #24) -#95 := (forall (vars (?v0 S2)) #24) -#526 := (iff #95 #523) -#524 := (iff #24 #24) -#525 := [refl]: #524 -#527 := [quant-intro #525]: #526 +#40 := (not #9) +#586 := (forall (vars (?v0 S2)) (:pat #579) #40) +#97 := (forall (vars (?v0 S2)) #40) +#589 := (iff #97 #586) +#587 := (iff #40 #40) +#588 := [refl]: #587 +#590 := [quant-intro #588]: #589 #16 := (exists (vars (?v0 S2)) #9) -#51 := (not #16) -#96 := (~ #51 #95) -#91 := (~ #24 #24) -#92 := [refl]: #91 -#97 := [nnf-neg #92]: #96 +#66 := (not #16) +#98 := (~ #66 #97) +#93 := (~ #40 #40) +#94 := [refl]: #93 +#99 := [nnf-neg #94]: #98 #10 := (:var 1 S2) #11 := (= #7 #10) -#25 := (or #24 #11) -#28 := (forall (vars (?v1 S2)) #25) -#31 := (and #9 #28) -#34 := (exists (vars (?v0 S2)) #31) -#40 := (not #34) -#41 := (or #40 #16) -#46 := (not #41) +#41 := (or #40 #11) +#44 := (forall (vars (?v1 S2)) #41) +#47 := (and #9 #44) +#50 := (exists (vars (?v0 S2)) #47) +#56 := (not #50) +#57 := (or #56 #16) +#62 := (not #57) #12 := (implies #9 #11) #13 := (forall (vars (?v1 S2)) #12) #14 := (and #9 #13) #15 := (exists (vars (?v0 S2)) #14) #17 := (implies #15 #16) #18 := (not #17) -#47 := (iff #18 #46) -#44 := (iff #17 #41) -#37 := (implies #34 #16) -#42 := (iff #37 #41) +#63 := (iff #18 #62) +#60 := (iff #17 #57) +#53 := (implies #50 #16) +#58 := (iff #53 #57) +#59 := [rewrite]: #58 +#54 := (iff #17 #53) +#51 := (iff #15 #50) +#48 := (iff #14 #47) +#45 := (iff #13 #44) +#42 := (iff #12 #41) #43 := [rewrite]: #42 -#38 := (iff #17 #37) -#35 := (iff #15 #34) -#32 := (iff #14 #31) -#29 := (iff #13 #28) -#26 := (iff #12 #25) -#27 := [rewrite]: #26 -#30 := [quant-intro #27]: #29 -#33 := [monotonicity #30]: #32 -#36 := [quant-intro #33]: #35 -#39 := [monotonicity #36]: #38 -#45 := [trans #39 #43]: #44 -#48 := [monotonicity #45]: #47 -#20 := [asserted]: #18 -#49 := [mp #20 #48]: #46 -#52 := [not-or-elim #49]: #51 -#98 := [mp~ #52 #97]: #95 -#528 := [mp #98 #527]: #523 +#46 := [quant-intro #43]: #45 +#49 := [monotonicity #46]: #48 +#52 := [quant-intro #49]: #51 +#55 := [monotonicity #52]: #54 +#61 := [trans #55 #59]: #60 +#64 := [monotonicity #61]: #63 +#39 := [asserted]: #18 +#67 := [mp #39 #64]: #62 +#68 := [not-or-elim #67]: #66 +#100 := [mp~ #68 #99]: #97 +#591 := [mp #100 #590]: #586 decl ?v0!0 :: S2 #76 := ?v0!0 #77 := (f3 ?v0!0) -#72 := (= #77 f1) -#73 := (= #7 ?v0!0) -#74 := (or #24 #73) -#75 := (forall (vars (?v1 S2)) #74) -#78 := (and #72 #75) -#79 := (~ #34 #78) -#87 := (~ #78 #78) -#85 := (~ #75 #75) -#83 := (~ #74 #74) +#78 := (= #77 f1) +#79 := (= #7 ?v0!0) +#70 := (or #40 #79) +#71 := (forall (vars (?v1 S2)) #70) +#80 := (and #78 #71) +#81 := (~ #50 #80) +#89 := (~ #80 #80) +#87 := (~ #71 #71) +#85 := (~ #70 #70) +#86 := [refl]: #85 +#88 := [nnf-pos #86]: #87 +#83 := (~ #78 #78) #84 := [refl]: #83 -#86 := [nnf-pos #84]: #85 -#81 := (~ #72 #72) -#82 := [refl]: #81 -#88 := [monotonicity #82 #86]: #87 -#80 := [sk]: #79 -#89 := [trans #80 #88]: #79 -#50 := [not-or-elim #49]: #34 -#90 := [mp~ #50 #89]: #78 -#93 := [and-elim #90]: #72 -#99 := (not #72) -#187 := (not #523) -#101 := (or #187 #99) -#188 := [quant-inst #76]: #101 -[unit-resolution #188 #93 #528]: false -b5293938cecaf4bb094f82623a01427d239246df 362 0 -unsat -#2 := false -decl ?v0!1 :: S2 -#104 := ?v0!1 -decl ?v1!0 :: (-> S2 S2) -#513 := (?v1!0 ?v0!1) -#522 := (= #513 ?v0!1) -#494 := (not #522) +#90 := [monotonicity #84 #88]: #89 +#82 := [sk]: #81 +#91 := [trans #82 #90]: #81 +#65 := [not-or-elim #67]: #50 +#92 := [mp~ #65 #91]: #80 +#95 := [and-elim #92]: #78 +#163 := (not #78) +#250 := (not #586) +#165 := (or #250 #163) +#251 := [quant-inst #76]: #165 +[unit-resolution #251 #95 #591]: false +unsat +aa5dc2c51501c5229e09c29f21c70d436d198117 362 0 +#2 := false +decl ?v0!2 :: S2 +#125 := ?v0!2 +decl ?v1!3 :: (-> S2 S2) +#574 := (?v1!3 ?v0!2) +#583 := (= #574 ?v0!2) +#555 := (not #583) decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1) -#509 := (f3 #513) -#514 := (= #509 f1) -#521 := (not #514) -#520 := (or #521 #522) -#516 := (not #520) +#570 := (f3 #574) +#575 := (= #570 f1) +#582 := (not #575) +#581 := (or #582 #583) +#577 := (not #581) #7 := (:var 0 S2) #8 := (f3 #7) -#602 := (pattern #8) -#87 := (?v1!0 #7) -#91 := (= #87 #7) -#88 := (f3 #87) -#89 := (= #88 f1) -#90 := (not #89) -#92 := (or #90 #91) -#93 := (not #92) +#663 := (pattern #8) +#146 := (?v1!3 #7) +#150 := (= #146 #7) +#147 := (f3 #146) +#148 := (= #147 f1) +#149 := (not #148) +#151 := (or #149 #150) +#152 := (not #151) #9 := (= #8 f1) #17 := (not #9) -#97 := (or #17 #93) -#635 := (forall (vars (?v0 S2)) (:pat #602) #97) -decl ?v1!3 :: (-> S2 S2) -#143 := (?v1!3 #7) -#145 := (f3 #143) -#146 := (= #145 f1) -#147 := (not #146) -#144 := (= #143 #7) -#148 := (or #144 #147) -#149 := (not #148) -#153 := (or #17 #149) -#640 := (forall (vars (?v0 S2)) (:pat #602) #153) -#286 := (not #640) -#554 := (?v1!3 ?v0!1) -#538 := (f3 #554) -#539 := (= #538 f1) -#541 := (not #539) -#555 := (= #554 ?v0!1) -#542 := (or #555 #541) -#540 := (not #542) -#530 := [hypothesis]: #540 -#439 := (or #542 #539) -#440 := [def-axiom]: #439 -#519 := [unit-resolution #440 #530]: #539 -#437 := (not #555) -#438 := (or #542 #437) -#431 := [def-axiom]: #438 -#500 := [unit-resolution #431 #530]: #437 -#107 := (= #7 ?v0!1) -#108 := (or #17 #107) -#603 := (forall (vars (?v1 S2)) (:pat #602) #108) -#608 := (not #603) -#105 := (f3 ?v0!1) -#106 := (= #105 f1) -#167 := (not #106) -#611 := (or #167 #608) -#614 := (not #611) -decl ?v0!2 :: S2 -#125 := ?v0!2 +#158 := (or #17 #152) +#696 := (forall (vars (?v0 S2)) (:pat #663) #158) +decl ?v1!0 :: (-> S2 S2) +#89 := (?v1!0 #7) +#82 := (f3 #89) +#84 := (= #82 f1) +#91 := (not #84) +#90 := (= #89 #7) +#92 := (or #90 #91) +#93 := (not #92) +#99 := (or #17 #93) +#701 := (forall (vars (?v0 S2)) (:pat #663) #99) +#347 := (not #701) +#615 := (?v1!0 ?v0!2) +#599 := (f3 #615) +#600 := (= #599 f1) +#602 := (not #600) +#616 := (= #615 ?v0!2) +#603 := (or #616 #602) +#601 := (not #603) +#591 := [hypothesis]: #601 +#500 := (or #603 #600) +#501 := [def-axiom]: #500 +#580 := [unit-resolution #501 #591]: #600 +#498 := (not #616) +#499 := (or #603 #498) +#492 := [def-axiom]: #499 +#561 := [unit-resolution #492 #591]: #498 #128 := (= #7 ?v0!2) -#129 := (or #128 #17) -#617 := (forall (vars (?v1 S2)) (:pat #602) #129) -#622 := (not #617) +#129 := (or #17 #128) +#664 := (forall (vars (?v1 S2)) (:pat #663) #129) +#669 := (not #664) #126 := (f3 ?v0!2) #127 := (= #126 f1) -#175 := (not #127) -#625 := (or #175 #622) -#572 := (?v1!3 ?v0!2) -#589 := (f3 #572) -#575 := (= #589 f1) -#586 := (not #575) -#294 := (= #572 ?v0!2) -#576 := (or #294 #586) -#283 := (not #576) -#601 := (not #635) -#258 := (?v1!0 ?v0!2) -#383 := (= #258 ?v0!2) -#594 := (f3 #258) -#596 := (= #594 f1) -#252 := (not #596) -#590 := (or #252 #383) -#628 := (not #625) -#545 := [hypothesis]: #628 -#277 := (or #625 #617) -#278 := [def-axiom]: #277 -#551 := [unit-resolution #278 #545]: #617 -#570 := (or #590 #622) -#593 := (not #383) -#263 := (not #590) -#227 := [hypothesis]: #263 -#235 := (or #590 #593) -#577 := [def-axiom]: #235 -#588 := [unit-resolution #577 #227]: #593 -#592 := (or #590 #596) -#251 := [def-axiom]: #592 -#295 := [unit-resolution #251 #227]: #596 -#569 := [hypothesis]: #617 -#242 := (or #622 #383 #252) -#597 := (or #383 #252) -#579 := (or #622 #597) -#581 := (iff #579 #242) -#582 := [rewrite]: #581 -#580 := [quant-inst #258]: #579 -#583 := [mp #580 #582]: #242 -#573 := [unit-resolution #583 #569 #295 #588]: false -#574 := [lemma #573]: #570 -#426 := [unit-resolution #574 #551]: #590 -#265 := (or #625 #127) -#276 := [def-axiom]: #265 -#427 := [unit-resolution #276 #545]: #127 -#600 := (or #601 #175 #263) -#599 := [hypothesis]: #590 -#595 := [hypothesis]: #635 -#301 := [hypothesis]: #127 -#264 := (or #175 #263) -#591 := (or #601 #264) -#255 := (iff #591 #600) -#299 := [rewrite]: #255 -#250 := [quant-inst #125]: #591 -#300 := [mp #250 #299]: #600 -#193 := [unit-resolution #300 #301 #595 #599]: false -#571 := [lemma #193]: #600 -#386 := [unit-resolution #571 #427 #426]: #601 -#645 := (or #635 #640) -#157 := (forall (vars (?v0 S2)) #153) -#101 := (forall (vars (?v0 S2)) #97) -#161 := (or #101 #157) -#646 := (iff #161 #645) -#643 := (iff #157 #640) -#641 := (iff #153 #153) -#642 := [refl]: #641 -#644 := [quant-intro #642]: #643 -#638 := (iff #101 #635) -#636 := (iff #97 #97) -#637 := [refl]: #636 -#639 := [quant-intro #637]: #638 -#647 := [monotonicity #639 #644]: #646 +#156 := (not #127) +#672 := (or #156 #669) +#675 := (not #672) +decl ?v0!1 :: S2 +#107 := ?v0!1 +#110 := (= #7 ?v0!1) +#111 := (or #110 #17) +#678 := (forall (vars (?v1 S2)) (:pat #663) #111) +#683 := (not #678) +#108 := (f3 ?v0!1) +#109 := (= #108 f1) +#175 := (not #109) +#686 := (or #175 #683) +#633 := (?v1!0 ?v0!1) +#650 := (f3 #633) +#636 := (= #650 f1) +#647 := (not #636) +#355 := (= #633 ?v0!1) +#637 := (or #355 #647) +#344 := (not #637) +#662 := (not #696) +#319 := (?v1!3 ?v0!1) +#444 := (= #319 ?v0!1) +#655 := (f3 #319) +#657 := (= #655 f1) +#313 := (not #657) +#651 := (or #313 #444) +#689 := (not #686) +#606 := [hypothesis]: #689 +#338 := (or #686 #678) +#339 := [def-axiom]: #338 +#612 := [unit-resolution #339 #606]: #678 +#631 := (or #651 #683) +#654 := (not #444) +#324 := (not #651) +#288 := [hypothesis]: #324 +#296 := (or #651 #654) +#638 := [def-axiom]: #296 +#649 := [unit-resolution #638 #288]: #654 +#653 := (or #651 #657) +#312 := [def-axiom]: #653 +#356 := [unit-resolution #312 #288]: #657 +#630 := [hypothesis]: #678 +#303 := (or #683 #444 #313) +#658 := (or #444 #313) +#640 := (or #683 #658) +#642 := (iff #640 #303) +#643 := [rewrite]: #642 +#641 := [quant-inst #319]: #640 +#644 := [mp #641 #643]: #303 +#634 := [unit-resolution #644 #630 #356 #649]: false +#635 := [lemma #634]: #631 +#487 := [unit-resolution #635 #612]: #651 +#326 := (or #686 #109) +#337 := [def-axiom]: #326 +#488 := [unit-resolution #337 #606]: #109 +#661 := (or #662 #175 #324) +#660 := [hypothesis]: #651 +#656 := [hypothesis]: #696 +#362 := [hypothesis]: #109 +#325 := (or #175 #324) +#652 := (or #662 #325) +#316 := (iff #652 #661) +#360 := [rewrite]: #316 +#311 := [quant-inst #107]: #652 +#361 := [mp #311 #360]: #661 +#255 := [unit-resolution #361 #362 #656 #660]: false +#632 := [lemma #255]: #661 +#447 := [unit-resolution #632 #488 #487]: #662 +#706 := (or #696 #701) +#103 := (forall (vars (?v0 S2)) #99) +#162 := (forall (vars (?v0 S2)) #158) +#165 := (or #162 #103) +#707 := (iff #165 #706) +#704 := (iff #103 #701) +#702 := (iff #99 #99) +#703 := [refl]: #702 +#705 := [quant-intro #703]: #704 +#699 := (iff #162 #696) +#697 := (iff #158 #158) +#698 := [refl]: #697 +#700 := [quant-intro #698]: #699 +#708 := [monotonicity #700 #705]: #707 +#112 := (forall (vars (?v1 S2)) #111) +#113 := (and #109 #112) #130 := (forall (vars (?v1 S2)) #129) #131 := (and #127 #130) -#109 := (forall (vars (?v1 S2)) #108) -#110 := (and #106 #109) -#162 := (or #110 #131) -#163 := (and #162 #161) +#166 := (or #131 #113) +#167 := (and #166 #165) #10 := (:var 1 S2) #11 := (= #7 #10) -#41 := (or #11 #17) -#44 := (forall (vars (?v1 S2)) #41) -#47 := (and #9 #44) -#50 := (exists (vars (?v0 S2)) #47) -#29 := (or #17 #11) -#32 := (forall (vars (?v1 S2)) #29) -#35 := (and #9 #32) -#38 := (exists (vars (?v0 S2)) #35) -#59 := (not #38) -#60 := (iff #59 #50) -#164 := (~ #60 #163) -#158 := (not #50) -#159 := (~ #158 #157) -#154 := (not #47) -#155 := (~ #154 #153) -#150 := (not #44) -#151 := (~ #150 #149) -#152 := [sk]: #151 -#85 := (~ #17 #17) -#86 := [refl]: #85 -#156 := [nnf-neg #86 #152]: #155 -#160 := [nnf-neg #156]: #159 -#132 := (~ #50 #131) +#57 := (or #11 #17) +#60 := (forall (vars (?v1 S2)) #57) +#63 := (and #9 #60) +#66 := (exists (vars (?v0 S2)) #63) +#45 := (or #17 #11) +#48 := (forall (vars (?v1 S2)) #45) +#51 := (and #9 #48) +#54 := (exists (vars (?v0 S2)) #51) +#75 := (not #54) +#76 := (iff #75 #66) +#168 := (~ #76 #167) +#114 := (~ #66 #113) +#122 := (~ #113 #113) +#120 := (~ #112 #112) +#118 := (~ #111 #111) +#119 := [refl]: #118 +#121 := [nnf-pos #119]: #120 +#116 := (~ #109 #109) +#117 := [refl]: #116 +#123 := [monotonicity #117 #121]: #122 +#115 := [sk]: #114 +#124 := [trans #115 #123]: #114 +#104 := (not #66) +#105 := (~ #104 #103) +#100 := (not #63) +#101 := (~ #100 #99) +#94 := (not #60) +#95 := (~ #94 #93) +#96 := [sk]: #95 +#87 := (~ #17 #17) +#88 := [refl]: #87 +#102 := [nnf-neg #88 #96]: #101 +#106 := [nnf-neg #102]: #105 +#163 := (~ #75 #162) +#159 := (not #51) +#160 := (~ #159 #158) +#153 := (not #48) +#154 := (~ #153 #152) +#155 := [sk]: #154 +#161 := [nnf-neg #88 #155]: #160 +#164 := [nnf-neg #161]: #163 +#143 := (not #75) +#144 := (~ #143 #131) +#132 := (~ #54 #131) #140 := (~ #131 #131) #138 := (~ #130 #130) #136 := (~ #129 #129) @@ -7530,29 +6684,8 @@ #141 := [monotonicity #135 #139]: #140 #133 := [sk]: #132 #142 := [trans #133 #141]: #132 -#122 := (not #59) -#123 := (~ #122 #110) -#111 := (~ #38 #110) -#119 := (~ #110 #110) -#117 := (~ #109 #109) -#115 := (~ #108 #108) -#116 := [refl]: #115 -#118 := [nnf-pos #116]: #117 -#113 := (~ #106 #106) -#114 := [refl]: #113 -#120 := [monotonicity #114 #118]: #119 -#112 := [sk]: #111 -#121 := [trans #112 #120]: #111 -#124 := [nnf-neg #121]: #123 -#102 := (~ #59 #101) -#98 := (not #35) -#99 := (~ #98 #97) -#94 := (not #32) -#95 := (~ #94 #93) -#96 := [sk]: #95 -#100 := [nnf-neg #86 #96]: #99 -#103 := [nnf-neg #100]: #102 -#165 := [nnf-pos #103 #124 #142 #160]: #164 +#145 := [nnf-neg #142]: #144 +#169 := [nnf-pos #145 #164 #106 #124]: #168 #16 := (not #11) #18 := (implies #16 #17) #19 := (forall (vars (?v1 S2)) #18) @@ -7564,210 +6697,210 @@ #15 := (exists (vars (?v0 S2)) #14) #22 := (iff #15 #21) #23 := (not #22) -#63 := (iff #23 #60) -#53 := (iff #38 #50) -#56 := (not #53) -#61 := (iff #56 #60) -#62 := [rewrite]: #61 -#57 := (iff #23 #56) -#54 := (iff #22 #53) -#51 := (iff #21 #50) -#48 := (iff #20 #47) -#45 := (iff #19 #44) -#42 := (iff #18 #41) -#43 := [rewrite]: #42 -#46 := [quant-intro #43]: #45 -#49 := [monotonicity #46]: #48 -#52 := [quant-intro #49]: #51 -#39 := (iff #15 #38) -#36 := (iff #14 #35) -#33 := (iff #13 #32) -#30 := (iff #12 #29) -#31 := [rewrite]: #30 -#34 := [quant-intro #31]: #33 -#37 := [monotonicity #34]: #36 -#40 := [quant-intro #37]: #39 -#55 := [monotonicity #40 #52]: #54 -#58 := [monotonicity #55]: #57 -#64 := [trans #58 #62]: #63 -#25 := [asserted]: #23 -#65 := [mp #25 #64]: #60 -#166 := [mp~ #65 #165]: #163 -#170 := [and-elim #166]: #161 -#648 := [mp #170 #647]: #645 -#534 := [unit-resolution #648 #386]: #640 -#287 := (or #286 #175 #283) -#298 := (or #175 #283) -#565 := (or #286 #298) -#280 := (iff #565 #287) -#563 := [rewrite]: #280 -#566 := [quant-inst #125]: #565 -#567 := [mp #566 #563]: #287 -#436 := [unit-resolution #567 #427 #534]: #283 -#558 := (or #576 #575) -#559 := [def-axiom]: #558 -#531 := [unit-resolution #559 #436]: #575 -#564 := (not #294) -#568 := (or #576 #564) -#557 := [def-axiom]: #568 -#532 := [unit-resolution #557 #436]: #564 -#560 := (or #622 #294 #586) -#561 := (or #622 #576) -#562 := (iff #561 #560) -#403 := [rewrite]: #562 -#556 := [quant-inst #572]: #561 -#404 := [mp #556 #403]: #560 -#535 := [unit-resolution #404 #551 #532 #531]: false -#420 := [lemma #535]: #625 -#631 := (or #614 #628) -#176 := (not #130) +#79 := (iff #23 #76) +#69 := (iff #54 #66) +#72 := (not #69) +#77 := (iff #72 #76) +#78 := [rewrite]: #77 +#73 := (iff #23 #72) +#70 := (iff #22 #69) +#67 := (iff #21 #66) +#64 := (iff #20 #63) +#61 := (iff #19 #60) +#58 := (iff #18 #57) +#59 := [rewrite]: #58 +#62 := [quant-intro #59]: #61 +#65 := [monotonicity #62]: #64 +#68 := [quant-intro #65]: #67 +#55 := (iff #15 #54) +#52 := (iff #14 #51) +#49 := (iff #13 #48) +#46 := (iff #12 #45) +#47 := [rewrite]: #46 +#50 := [quant-intro #47]: #49 +#53 := [monotonicity #50]: #52 +#56 := [quant-intro #53]: #55 +#71 := [monotonicity #56 #68]: #70 +#74 := [monotonicity #71]: #73 +#80 := [trans #74 #78]: #79 +#44 := [asserted]: #23 +#83 := [mp #44 #80]: #76 +#170 := [mp~ #83 #169]: #167 +#174 := [and-elim #170]: #165 +#709 := [mp #174 #708]: #706 +#595 := [unit-resolution #709 #447]: #701 +#348 := (or #347 #175 #344) +#359 := (or #175 #344) +#626 := (or #347 #359) +#341 := (iff #626 #348) +#624 := [rewrite]: #341 +#627 := [quant-inst #107]: #626 +#628 := [mp #627 #624]: #348 +#497 := [unit-resolution #628 #488 #595]: #344 +#619 := (or #637 #636) +#620 := [def-axiom]: #619 +#592 := [unit-resolution #620 #497]: #636 +#625 := (not #355) +#629 := (or #637 #625) +#618 := [def-axiom]: #629 +#593 := [unit-resolution #618 #497]: #625 +#621 := (or #683 #355 #647) +#622 := (or #683 #637) +#623 := (iff #622 #621) +#464 := [rewrite]: #623 +#617 := [quant-inst #633]: #622 +#465 := [mp #617 #464]: #621 +#596 := [unit-resolution #465 #612 #593 #592]: false +#481 := [lemma #596]: #686 +#692 := (or #675 #689) +#176 := (not #112) #177 := (or #175 #176) #178 := (not #177) -#168 := (not #109) -#171 := (or #167 #168) -#172 := (not #171) -#181 := (or #172 #178) -#632 := (iff #181 #631) -#629 := (iff #178 #628) -#626 := (iff #177 #625) -#623 := (iff #176 #622) -#620 := (iff #130 #617) -#618 := (iff #129 #129) -#619 := [refl]: #618 -#621 := [quant-intro #619]: #620 -#624 := [monotonicity #621]: #623 -#627 := [monotonicity #624]: #626 -#630 := [monotonicity #627]: #629 -#615 := (iff #172 #614) -#612 := (iff #171 #611) -#609 := (iff #168 #608) -#606 := (iff #109 #603) -#604 := (iff #108 #108) -#605 := [refl]: #604 -#607 := [quant-intro #605]: #606 -#610 := [monotonicity #607]: #609 -#613 := [monotonicity #610]: #612 -#616 := [monotonicity #613]: #615 -#633 := [monotonicity #616 #630]: #632 -#182 := (iff #162 #181) -#179 := (iff #131 #178) +#157 := (not #130) +#97 := (or #156 #157) +#98 := (not #97) +#181 := (or #98 #178) +#693 := (iff #181 #692) +#690 := (iff #178 #689) +#687 := (iff #177 #686) +#684 := (iff #176 #683) +#681 := (iff #112 #678) +#679 := (iff #111 #111) +#680 := [refl]: #679 +#682 := [quant-intro #680]: #681 +#685 := [monotonicity #682]: #684 +#688 := [monotonicity #685]: #687 +#691 := [monotonicity #688]: #690 +#676 := (iff #98 #675) +#673 := (iff #97 #672) +#670 := (iff #157 #669) +#667 := (iff #130 #664) +#665 := (iff #129 #129) +#666 := [refl]: #665 +#668 := [quant-intro #666]: #667 +#671 := [monotonicity #668]: #670 +#674 := [monotonicity #671]: #673 +#677 := [monotonicity #674]: #676 +#694 := [monotonicity #677 #691]: #693 +#182 := (iff #166 #181) +#179 := (iff #113 #178) #180 := [rewrite]: #179 -#173 := (iff #110 #172) -#174 := [rewrite]: #173 -#183 := [monotonicity #174 #180]: #182 -#169 := [and-elim #166]: #162 -#184 := [mp #169 #183]: #181 -#634 := [mp #184 #633]: #631 -#501 := [unit-resolution #634 #420]: #614 -#186 := (or #611 #603) -#273 := [def-axiom]: #186 -#503 := [unit-resolution #273 #501]: #603 -#536 := (or #608 #541 #555) -#425 := (or #541 #555) -#533 := (or #608 #425) -#524 := (iff #533 #536) -#526 := [rewrite]: #524 -#537 := [quant-inst #554]: #533 -#518 := [mp #537 #526]: #536 -#504 := [unit-resolution #518 #503 #500 #519]: false -#505 := [lemma #504]: #542 -#552 := [hypothesis]: #640 -#185 := (or #611 #106) -#272 := [def-axiom]: #185 -#382 := [unit-resolution #272 #501]: #106 -#553 := (or #286 #167 #540) -#543 := (or #167 #540) -#384 := (or #286 #543) -#435 := (iff #384 #553) -#508 := [rewrite]: #435 -#385 := [quant-inst #104]: #384 -#510 := [mp #385 #508]: #553 -#511 := [unit-resolution #510 #382 #552 #505]: false -#512 := [lemma #511]: #286 -#467 := [unit-resolution #648 #512]: #635 -#506 := (or #601 #167 #516) -#523 := (or #167 #516) -#486 := (or #601 #523) -#489 := (iff #486 #506) -#490 := [rewrite]: #489 -#487 := [quant-inst #104]: #486 -#491 := [mp #487 #490]: #506 -#468 := [unit-resolution #491 #382 #467]: #516 -#495 := (or #520 #494) -#496 := [def-axiom]: #495 -#457 := [unit-resolution #496 #468]: #494 -#492 := (or #520 #514) -#493 := [def-axiom]: #492 -#462 := [unit-resolution #493 #468]: #514 -#488 := (or #608 #521 #522) -#499 := (or #608 #520) -#478 := (iff #499 #488) -#480 := [rewrite]: #478 -#477 := [quant-inst #513]: #499 -#481 := [mp #477 #480]: #488 -[unit-resolution #481 #503 #462 #457]: false -96dbad9d0f21930a89355df3d0c25d735ace8a1e 140 0 -unsat +#171 := (iff #131 #98) +#172 := [rewrite]: #171 +#183 := [monotonicity #172 #180]: #182 +#173 := [and-elim #170]: #166 +#184 := [mp #173 #183]: #181 +#695 := [mp #184 #694]: #692 +#562 := [unit-resolution #695 #481]: #675 +#248 := (or #672 #664) +#334 := [def-axiom]: #248 +#564 := [unit-resolution #334 #562]: #664 +#597 := (or #669 #602 #616) +#486 := (or #602 #616) +#594 := (or #669 #486) +#585 := (iff #594 #597) +#587 := [rewrite]: #585 +#598 := [quant-inst #615]: #594 +#579 := [mp #598 #587]: #597 +#565 := [unit-resolution #579 #564 #561 #580]: false +#566 := [lemma #565]: #603 +#613 := [hypothesis]: #701 +#247 := (or #672 #127) +#333 := [def-axiom]: #247 +#443 := [unit-resolution #333 #562]: #127 +#614 := (or #347 #156 #601) +#604 := (or #156 #601) +#445 := (or #347 #604) +#496 := (iff #445 #614) +#569 := [rewrite]: #496 +#446 := [quant-inst #125]: #445 +#571 := [mp #446 #569]: #614 +#572 := [unit-resolution #571 #443 #613 #566]: false +#573 := [lemma #572]: #347 +#528 := [unit-resolution #709 #573]: #696 +#567 := (or #662 #156 #577) +#584 := (or #156 #577) +#547 := (or #662 #584) +#550 := (iff #547 #567) +#551 := [rewrite]: #550 +#548 := [quant-inst #125]: #547 +#552 := [mp #548 #551]: #567 +#529 := [unit-resolution #552 #443 #528]: #577 +#556 := (or #581 #555) +#557 := [def-axiom]: #556 +#518 := [unit-resolution #557 #529]: #555 +#553 := (or #581 #575) +#554 := [def-axiom]: #553 +#523 := [unit-resolution #554 #529]: #575 +#549 := (or #669 #582 #583) +#560 := (or #669 #581) +#539 := (iff #560 #549) +#541 := [rewrite]: #539 +#538 := [quant-inst #574]: #560 +#542 := [mp #538 #541]: #549 +[unit-resolution #542 #564 #523 #518]: false +unsat +c5872bdd32bd9e895950d088cbea7b6331bcd87a 148 0 #2 := false decl f4 :: S2 #7 := f4 decl ?v1!0 :: (-> S2 S2) -#119 := (?v1!0 f4) -#121 := (= #119 f4) -#198 := (not #121) +#189 := (?v1!0 f4) +#191 := (= #189 f4) +#267 := (not #191) decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1) -#206 := (f3 #119) -#120 := (= #206 f1) -#207 := (not #120) -#208 := (or #207 #121) -#199 := (not #208) +#275 := (f3 #189) +#190 := (= #275 f1) +#276 := (not #190) +#277 := (or #276 #191) +#268 := (not #277) #10 := (:var 0 S2) #11 := (f3 #10) -#536 := (pattern #11) -#95 := (?v1!0 #10) -#105 := (= #95 #10) -#102 := (f3 #95) -#103 := (= #102 f1) -#104 := (not #103) -#106 := (or #104 #105) -#107 := (not #106) +#605 := (pattern #11) +#104 := (?v1!0 #10) +#113 := (= #104 #10) +#105 := (f3 #104) +#101 := (= #105 f1) +#112 := (not #101) +#114 := (or #112 #113) +#115 := (not #114) #12 := (= #11 f1) -#30 := (not #12) -#111 := (or #30 #107) -#543 := (forall (vars (?v0 S2)) (:pat #536) #111) -#115 := (forall (vars (?v0 S2)) #111) -#546 := (iff #115 #543) -#544 := (iff #111 #111) -#545 := [refl]: #544 -#547 := [quant-intro #545]: #546 +#46 := (not #12) +#121 := (or #46 #115) +#612 := (forall (vars (?v0 S2)) (:pat #605) #121) +#125 := (forall (vars (?v0 S2)) #121) +#615 := (iff #125 #612) +#613 := (iff #121 #121) +#614 := [refl]: #613 +#616 := [quant-intro #614]: #615 #16 := (:var 1 S2) #17 := (= #10 #16) -#37 := (or #30 #17) -#40 := (forall (vars (?v1 S2)) #37) -#43 := (and #12 #40) -#46 := (exists (vars (?v0 S2)) #43) -#73 := (not #46) -#116 := (~ #73 #115) -#112 := (not #43) -#113 := (~ #112 #111) -#108 := (not #40) -#109 := (~ #108 #107) -#110 := [sk]: #109 -#97 := (~ #30 #30) -#94 := [refl]: #97 -#114 := [nnf-neg #94 #110]: #113 -#117 := [nnf-neg #114]: #116 +#53 := (or #46 #17) +#56 := (forall (vars (?v1 S2)) #53) +#59 := (and #12 #56) +#62 := (exists (vars (?v0 S2)) #59) +#97 := (not #62) +#126 := (~ #97 #125) +#122 := (not #59) +#123 := (~ #122 #121) +#116 := (not #56) +#117 := (~ #116 #115) +#118 := [sk]: #117 +#103 := (~ #46 #46) +#100 := [refl]: #103 +#124 := [nnf-neg #100 #118]: #123 +#127 := [nnf-neg #124]: #126 #13 := (= #10 f4) -#31 := (or #30 #13) -#34 := (forall (vars (?v0 S2)) #31) -#52 := (not #34) +#47 := (or #46 #13) +#50 := (forall (vars (?v0 S2)) #47) +#68 := (not #50) #8 := (f3 f4) #9 := (= #8 f1) -#61 := (not #9) -#62 := (or #61 #52 #46) -#67 := (not #62) +#77 := (not #9) +#86 := (or #77 #68 #62) +#89 := (not #86) #18 := (implies #12 #17) #19 := (forall (vars (?v1 S2)) #18) #20 := (and #12 #19) @@ -7777,141 +6910,149 @@ #22 := (implies #15 #21) #23 := (implies #9 #22) #24 := (not #23) -#68 := (iff #24 #67) -#65 := (iff #23 #62) -#53 := (or #52 #46) -#58 := (implies #9 #53) -#63 := (iff #58 #62) -#64 := [rewrite]: #63 -#59 := (iff #23 #58) -#56 := (iff #22 #53) -#49 := (implies #34 #46) -#54 := (iff #49 #53) +#92 := (iff #24 #89) +#69 := (or #68 #62) +#78 := (or #77 #69) +#83 := (not #78) +#90 := (iff #83 #89) +#87 := (iff #78 #86) +#88 := [rewrite]: #87 +#91 := [monotonicity #88]: #90 +#84 := (iff #24 #83) +#81 := (iff #23 #78) +#74 := (implies #9 #69) +#79 := (iff #74 #78) +#80 := [rewrite]: #79 +#75 := (iff #23 #74) +#72 := (iff #22 #69) +#65 := (implies #50 #62) +#70 := (iff #65 #69) +#71 := [rewrite]: #70 +#66 := (iff #22 #65) +#63 := (iff #21 #62) +#60 := (iff #20 #59) +#57 := (iff #19 #56) +#54 := (iff #18 #53) #55 := [rewrite]: #54 -#50 := (iff #22 #49) -#47 := (iff #21 #46) -#44 := (iff #20 #43) -#41 := (iff #19 #40) -#38 := (iff #18 #37) -#39 := [rewrite]: #38 -#42 := [quant-intro #39]: #41 -#45 := [monotonicity #42]: #44 -#48 := [quant-intro #45]: #47 -#35 := (iff #15 #34) -#32 := (iff #14 #31) -#33 := [rewrite]: #32 -#36 := [quant-intro #33]: #35 -#51 := [monotonicity #36 #48]: #50 -#57 := [trans #51 #55]: #56 -#60 := [monotonicity #57]: #59 -#66 := [trans #60 #64]: #65 -#69 := [monotonicity #66]: #68 -#26 := [asserted]: #24 -#70 := [mp #26 #69]: #67 -#74 := [not-or-elim #70]: #73 -#118 := [mp~ #74 #117]: #115 -#548 := [mp #118 #547]: #543 -#71 := [not-or-elim #70]: #9 -#209 := (not #543) -#213 := (or #209 #61 #199) -#210 := (or #61 #199) -#192 := (or #209 #210) -#530 := (iff #192 #213) -#186 := [rewrite]: #530 -#528 := [quant-inst #7]: #192 -#317 := [mp #528 #186]: #213 -#176 := [unit-resolution #317 #71 #548]: #199 -#531 := (or #208 #198) -#532 := [def-axiom]: #531 -#513 := [unit-resolution #532 #176]: #198 -#524 := (or #208 #120) -#197 := [def-axiom]: #524 -#523 := [unit-resolution #197 #176]: #120 -#537 := (forall (vars (?v0 S2)) (:pat #536) #31) -#540 := (iff #34 #537) -#538 := (iff #31 #31) -#539 := [refl]: #538 -#541 := [quant-intro #539]: #540 -#98 := (~ #34 #34) -#100 := (~ #31 #31) -#101 := [refl]: #100 -#99 := [nnf-pos #101]: #98 -#72 := [not-or-elim #70]: #34 -#96 := [mp~ #72 #99]: #34 -#542 := [mp #96 #541]: #537 -#529 := (not #537) -#535 := (or #529 #207 #121) -#525 := (or #529 #208) -#189 := (iff #525 #535) -#526 := [rewrite]: #189 -#184 := [quant-inst #119]: #525 -#185 := [mp #184 #526]: #535 -[unit-resolution #185 #542 #523 #513]: false -3973423ac9fa582b2790c4d37bd8bded688f8e45 170 0 -unsat +#58 := [quant-intro #55]: #57 +#61 := [monotonicity #58]: #60 +#64 := [quant-intro #61]: #63 +#51 := (iff #15 #50) +#48 := (iff #14 #47) +#49 := [rewrite]: #48 +#52 := [quant-intro #49]: #51 +#67 := [monotonicity #52 #64]: #66 +#73 := [trans #67 #71]: #72 +#76 := [monotonicity #73]: #75 +#82 := [trans #76 #80]: #81 +#85 := [monotonicity #82]: #84 +#93 := [trans #85 #91]: #92 +#45 := [asserted]: #24 +#94 := [mp #45 #93]: #89 +#98 := [not-or-elim #94]: #97 +#128 := [mp~ #98 #127]: #125 +#617 := [mp #128 #616]: #612 +#95 := [not-or-elim #94]: #9 +#278 := (not #612) +#282 := (or #278 #77 #268) +#279 := (or #77 #268) +#261 := (or #278 #279) +#599 := (iff #261 #282) +#255 := [rewrite]: #599 +#597 := [quant-inst #7]: #261 +#386 := [mp #597 #255]: #282 +#245 := [unit-resolution #386 #95 #617]: #268 +#600 := (or #277 #267) +#601 := [def-axiom]: #600 +#582 := [unit-resolution #601 #245]: #267 +#593 := (or #277 #190) +#266 := [def-axiom]: #593 +#592 := [unit-resolution #266 #245]: #190 +#606 := (forall (vars (?v0 S2)) (:pat #605) #47) +#609 := (iff #50 #606) +#607 := (iff #47 #47) +#608 := [refl]: #607 +#610 := [quant-intro #608]: #609 +#110 := (~ #50 #50) +#108 := (~ #47 #47) +#109 := [refl]: #108 +#111 := [nnf-pos #109]: #110 +#96 := [not-or-elim #94]: #50 +#102 := [mp~ #96 #111]: #50 +#611 := [mp #102 #610]: #606 +#598 := (not #606) +#604 := (or #598 #276 #191) +#594 := (or #598 #277) +#258 := (iff #594 #604) +#595 := [rewrite]: #258 +#253 := [quant-inst #189]: #594 +#254 := [mp #253 #595]: #604 +[unit-resolution #254 #611 #592 #582]: false +unsat +0d91aeb4f1e5219f5da913cca278e0e7cef9a2ce 170 0 #2 := false decl ?v0!0 :: S2 -#93 := ?v0!0 +#97 := ?v0!0 decl ?v1!1 :: (-> S2 S2) -#233 := (?v1!1 ?v0!0) -#235 := (= #233 ?v0!0) -#558 := (not #235) +#296 := (?v1!1 ?v0!0) +#298 := (= #296 ?v0!0) +#621 := (not #298) decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1) -#147 := (f3 #233) -#234 := (= #147 f1) -#148 := (not #234) -#226 := (or #148 #235) -#237 := (not #226) +#211 := (f3 #296) +#297 := (= #211 f1) +#212 := (not #297) +#289 := (or #212 #298) +#300 := (not #289) #7 := (:var 0 S2) #8 := (f3 #7) -#570 := (pattern #8) -#104 := (?v1!1 #7) -#108 := (= #104 #7) -#105 := (f3 #104) -#106 := (= #105 f1) -#107 := (not #106) -#109 := (or #107 #108) -#110 := (not #109) +#633 := (pattern #8) +#93 := (?v1!1 #7) +#110 := (= #93 #7) +#94 := (f3 #93) +#108 := (= #94 f1) +#109 := (not #108) +#111 := (or #109 #110) +#112 := (not #111) #9 := (= #8 f1) -#41 := (not #9) -#114 := (or #41 #110) -#571 := (forall (vars (?v0 S2)) (:pat #570) #114) -#118 := (forall (vars (?v0 S2)) #114) -#574 := (iff #118 #571) -#572 := (iff #114 #114) -#573 := [refl]: #572 -#575 := [quant-intro #573]: #574 +#57 := (not #9) +#118 := (or #57 #112) +#634 := (forall (vars (?v0 S2)) (:pat #633) #118) +#122 := (forall (vars (?v0 S2)) #118) +#637 := (iff #122 #634) +#635 := (iff #118 #118) +#636 := [refl]: #635 +#638 := [quant-intro #636]: #637 #11 := (:var 1 S2) #19 := (= #7 #11) -#42 := (or #41 #19) -#45 := (forall (vars (?v1 S2)) #42) -#48 := (and #9 #45) -#51 := (exists (vars (?v0 S2)) #48) -#70 := (not #51) -#119 := (~ #70 #118) -#115 := (not #48) -#116 := (~ #115 #114) -#111 := (not #45) -#112 := (~ #111 #110) -#113 := [sk]: #112 -#102 := (~ #41 #41) -#103 := [refl]: #102 -#117 := [nnf-neg #103 #113]: #116 -#120 := [nnf-neg #117]: #119 +#58 := (or #57 #19) +#61 := (forall (vars (?v1 S2)) #58) +#64 := (and #9 #61) +#67 := (exists (vars (?v0 S2)) #64) +#86 := (not #67) +#123 := (~ #86 #122) +#119 := (not #64) +#120 := (~ #119 #118) +#113 := (not #61) +#114 := (~ #113 #112) +#115 := [sk]: #114 +#106 := (~ #57 #57) +#107 := [refl]: #106 +#121 := [nnf-neg #107 #115]: #120 +#124 := [nnf-neg #121]: #123 #15 := (= #11 #7) #12 := (f3 #11) #13 := (= #12 f1) #14 := (and #13 #9) -#31 := (not #14) -#32 := (or #31 #15) -#35 := (forall (vars (?v0 S2) (?v1 S2)) #32) +#47 := (not #14) +#48 := (or #47 #15) +#51 := (forall (vars (?v0 S2) (?v1 S2)) #48) #10 := (exists (vars (?v0 S2)) #9) -#38 := (and #10 #35) -#57 := (not #38) -#58 := (or #57 #51) -#63 := (not #58) +#54 := (and #10 #51) +#73 := (not #54) +#74 := (or #73 #67) +#79 := (not #74) #20 := (implies #9 #19) #21 := (forall (vars (?v1 S2)) #20) #22 := (and #9 #21) @@ -7921,173 +7062,173 @@ #18 := (and #10 #17) #24 := (implies #18 #23) #25 := (not #24) -#64 := (iff #25 #63) -#61 := (iff #24 #58) -#54 := (implies #38 #51) -#59 := (iff #54 #58) +#80 := (iff #25 #79) +#77 := (iff #24 #74) +#70 := (implies #54 #67) +#75 := (iff #70 #74) +#76 := [rewrite]: #75 +#71 := (iff #24 #70) +#68 := (iff #23 #67) +#65 := (iff #22 #64) +#62 := (iff #21 #61) +#59 := (iff #20 #58) #60 := [rewrite]: #59 -#55 := (iff #24 #54) -#52 := (iff #23 #51) -#49 := (iff #22 #48) -#46 := (iff #21 #45) -#43 := (iff #20 #42) -#44 := [rewrite]: #43 -#47 := [quant-intro #44]: #46 -#50 := [monotonicity #47]: #49 +#63 := [quant-intro #60]: #62 +#66 := [monotonicity #63]: #65 +#69 := [quant-intro #66]: #68 +#55 := (iff #18 #54) +#52 := (iff #17 #51) +#49 := (iff #16 #48) +#50 := [rewrite]: #49 #53 := [quant-intro #50]: #52 -#39 := (iff #18 #38) -#36 := (iff #17 #35) -#33 := (iff #16 #32) -#34 := [rewrite]: #33 -#37 := [quant-intro #34]: #36 -#40 := [monotonicity #37]: #39 -#56 := [monotonicity #40 #53]: #55 -#62 := [trans #56 #60]: #61 -#65 := [monotonicity #62]: #64 -#27 := [asserted]: #25 -#66 := [mp #27 #65]: #63 -#71 := [not-or-elim #66]: #70 -#121 := [mp~ #71 #120]: #118 -#576 := [mp #121 #575]: #571 -#94 := (f3 ?v0!0) -#97 := (= #94 f1) -#98 := (~ #10 #97) -#95 := [sk]: #98 -#67 := [not-or-elim #66]: #38 -#68 := [and-elim #67]: #10 -#96 := [mp~ #68 #95]: #97 -#146 := (not #97) -#240 := (not #571) -#219 := (or #240 #146 #237) -#238 := (or #146 #237) -#555 := (or #240 #238) -#213 := (iff #555 #219) -#344 := [rewrite]: #213 -#557 := [quant-inst #93]: #555 -#551 := [mp #557 #344]: #219 -#537 := [unit-resolution #551 #96 #576]: #237 -#559 := (or #226 #558) -#560 := [def-axiom]: #559 -#244 := [unit-resolution #560 #537]: #558 -#224 := (or #226 #234) -#225 := [def-axiom]: #224 -#533 := [unit-resolution #225 #537]: #234 -#563 := (pattern #12 #8) -#122 := (not #13) -#137 := (or #122 #41 #15) -#564 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #563) #137) -#142 := (forall (vars (?v0 S2) (?v1 S2)) #137) -#567 := (iff #142 #564) -#565 := (iff #137 #137) -#566 := [refl]: #565 -#568 := [quant-intro #566]: #567 -#143 := (iff #35 #142) -#140 := (iff #32 #137) -#123 := (or #122 #41) -#134 := (or #123 #15) -#138 := (iff #134 #137) -#139 := [rewrite]: #138 -#135 := (iff #32 #134) -#132 := (iff #31 #123) -#124 := (not #123) -#127 := (not #124) -#130 := (iff #127 #123) -#131 := [rewrite]: #130 -#128 := (iff #31 #127) -#125 := (iff #14 #124) -#126 := [rewrite]: #125 -#129 := [monotonicity #126]: #128 -#133 := [trans #129 #131]: #132 -#136 := [monotonicity #133]: #135 -#141 := [trans #136 #139]: #140 -#144 := [quant-intro #141]: #143 -#99 := (~ #35 #35) -#91 := (~ #32 #32) -#92 := [refl]: #91 -#100 := [nnf-pos #92]: #99 -#69 := [and-elim #67]: #35 -#101 := [mp~ #69 #100]: #35 -#145 := [mp #101 #144]: #142 -#569 := [mp #145 #568]: #564 -#548 := (not #564) -#187 := (or #548 #148 #146 #235) -#554 := (or #148 #146 #235) -#188 := (or #548 #554) -#547 := (iff #188 #187) -#550 := [rewrite]: #547 -#549 := [quant-inst #233 #93]: #188 -#536 := [mp #549 #550]: #187 -[unit-resolution #536 #96 #569 #533 #244]: false -d849c0627f2c781919ccff42a145d991899a7af1 169 0 -unsat +#56 := [monotonicity #53]: #55 +#72 := [monotonicity #56 #69]: #71 +#78 := [trans #72 #76]: #77 +#81 := [monotonicity #78]: #80 +#46 := [asserted]: #25 +#84 := [mp #46 #81]: #79 +#87 := [not-or-elim #84]: #86 +#125 := [mp~ #87 #124]: #122 +#639 := [mp #125 #638]: #634 +#98 := (f3 ?v0!0) +#99 := (= #98 f1) +#100 := (~ #10 #99) +#89 := [sk]: #100 +#82 := [not-or-elim #84]: #54 +#83 := [and-elim #82]: #10 +#102 := [mp~ #83 #89]: #99 +#210 := (not #99) +#303 := (not #634) +#282 := (or #303 #210 #300) +#301 := (or #210 #300) +#618 := (or #303 #301) +#276 := (iff #618 #282) +#407 := [rewrite]: #276 +#620 := [quant-inst #97]: #618 +#614 := [mp #620 #407]: #282 +#600 := [unit-resolution #614 #102 #639]: #300 +#622 := (or #289 #621) +#623 := [def-axiom]: #622 +#307 := [unit-resolution #623 #600]: #621 +#287 := (or #289 #297) +#288 := [def-axiom]: #287 +#596 := [unit-resolution #288 #600]: #297 +#626 := (pattern #12 #8) +#116 := (not #13) +#139 := (or #116 #57 #15) +#627 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #626) #139) +#144 := (forall (vars (?v0 S2) (?v1 S2)) #139) +#630 := (iff #144 #627) +#628 := (iff #139 #139) +#629 := [refl]: #628 +#631 := [quant-intro #629]: #630 +#145 := (iff #51 #144) +#142 := (iff #48 #139) +#117 := (or #116 #57) +#136 := (or #117 #15) +#140 := (iff #136 #139) +#141 := [rewrite]: #140 +#137 := (iff #48 #136) +#134 := (iff #47 #117) +#126 := (not #117) +#129 := (not #126) +#132 := (iff #129 #117) +#133 := [rewrite]: #132 +#130 := (iff #47 #129) +#127 := (iff #14 #126) +#128 := [rewrite]: #127 +#131 := [monotonicity #128]: #130 +#135 := [trans #131 #133]: #134 +#138 := [monotonicity #135]: #137 +#143 := [trans #138 #141]: #142 +#146 := [quant-intro #143]: #145 +#103 := (~ #51 #51) +#90 := (~ #48 #48) +#101 := [refl]: #90 +#104 := [nnf-pos #101]: #103 +#85 := [and-elim #82]: #51 +#105 := [mp~ #85 #104]: #51 +#147 := [mp #105 #146]: #144 +#632 := [mp #147 #631]: #627 +#611 := (not #627) +#250 := (or #611 #212 #210 #298) +#617 := (or #212 #210 #298) +#251 := (or #611 #617) +#610 := (iff #251 #250) +#613 := [rewrite]: #610 +#612 := [quant-inst #296 #97]: #251 +#599 := [mp #612 #613]: #250 +[unit-resolution #599 #102 #632 #596 #307]: false +unsat +142a1362d1a72bfbc8fcd56ed6d2ef4df96159b7 169 0 #2 := false decl ?v0!0 :: S2 -#110 := ?v0!0 +#96 := ?v0!0 decl ?v1!1 :: (-> S2 S2) -#233 := (?v1!1 ?v0!0) -#235 := (= #233 ?v0!0) -#558 := (not #235) +#292 := (?v1!1 ?v0!0) +#294 := (= #292 ?v0!0) +#617 := (not #294) decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S1) -#149 := (f3 #233) -#234 := (= #149 f1) -#146 := (not #234) -#226 := (or #146 #235) -#237 := (not #226) +#207 := (f3 #292) +#293 := (= #207 f1) +#208 := (not #293) +#285 := (or #208 #294) +#296 := (not #285) #7 := (:var 0 S2) #8 := (f3 #7) -#563 := (pattern #8) -#129 := (?v1!1 #7) -#133 := (= #129 #7) -#130 := (f3 #129) -#131 := (= #130 f1) -#132 := (not #131) -#134 := (or #132 #133) -#135 := (not #134) +#622 := (pattern #8) +#127 := (?v1!1 #7) +#131 := (= #127 #7) +#128 := (f3 #127) +#129 := (= #128 f1) +#130 := (not #129) +#132 := (or #130 #131) +#133 := (not #132) #9 := (= #8 f1) -#28 := (not #9) -#139 := (or #28 #135) -#570 := (forall (vars (?v0 S2)) (:pat #563) #139) +#44 := (not #9) +#139 := (or #44 #133) +#629 := (forall (vars (?v0 S2)) (:pat #622) #139) #142 := (forall (vars (?v0 S2)) #139) -#573 := (iff #142 #570) -#571 := (iff #139 #139) -#572 := [refl]: #571 -#574 := [quant-intro #572]: #573 +#632 := (iff #142 #629) +#630 := (iff #139 #139) +#631 := [refl]: #630 +#633 := [quant-intro #631]: #632 #10 := (:var 1 S2) #11 := (= #7 #10) -#29 := (or #28 #11) -#32 := (forall (vars (?v1 S2)) #29) -#35 := (and #9 #32) -#44 := (not #35) -#102 := (forall (vars (?v0 S2)) #44) -#143 := (~ #102 #142) -#140 := (~ #44 #139) -#136 := (not #32) -#137 := (~ #136 #135) -#138 := [sk]: #137 -#125 := (~ #28 #28) -#126 := [refl]: #125 -#141 := [nnf-neg #126 #138]: #140 +#45 := (or #44 #11) +#48 := (forall (vars (?v1 S2)) #45) +#51 := (and #9 #48) +#60 := (not #51) +#106 := (forall (vars (?v0 S2)) #60) +#143 := (~ #106 #142) +#140 := (~ #60 #139) +#134 := (not #48) +#135 := (~ #134 #133) +#136 := [sk]: #135 +#123 := (~ #44 #44) +#124 := [refl]: #123 +#141 := [nnf-neg #124 #136]: #140 #144 := [nnf-pos #141]: #143 decl f4 :: S1 #16 := f4 #17 := (= f4 f1) -#45 := (or #44 #17) -#50 := (forall (vars (?v0 S2)) #45) -#103 := (iff #50 #102) -#100 := (iff #45 #44) -#93 := (or #44 false) -#98 := (iff #93 #44) -#99 := [rewrite]: #98 -#94 := (iff #45 #93) -#95 := (iff #17 false) -#72 := (not #17) -#38 := (exists (vars (?v0 S2)) #35) -#53 := (and #38 #50) -#59 := (not #53) -#60 := (or #59 #17) -#65 := (not #60) +#61 := (or #60 #17) +#66 := (forall (vars (?v0 S2)) #61) +#107 := (iff #66 #106) +#104 := (iff #61 #60) +#99 := (or #60 false) +#102 := (iff #99 #60) +#103 := [rewrite]: #102 +#100 := (iff #61 #99) +#97 := (iff #17 false) +#88 := (not #17) +#54 := (exists (vars (?v0 S2)) #51) +#69 := (and #54 #66) +#75 := (not #69) +#76 := (or #75 #17) +#81 := (not #76) #12 := (implies #9 #11) #13 := (forall (vars (?v1 S2)) #12) #14 := (and #9 #13) @@ -8097,99 +7238,99 @@ #20 := (and #15 #19) #21 := (implies #20 #17) #22 := (not #21) -#66 := (iff #22 #65) -#63 := (iff #21 #60) -#56 := (implies #53 #17) -#61 := (iff #56 #60) -#62 := [rewrite]: #61 -#57 := (iff #21 #56) -#54 := (iff #20 #53) -#51 := (iff #19 #50) -#48 := (iff #18 #45) -#41 := (implies #35 #17) -#46 := (iff #41 #45) +#82 := (iff #22 #81) +#79 := (iff #21 #76) +#72 := (implies #69 #17) +#77 := (iff #72 #76) +#78 := [rewrite]: #77 +#73 := (iff #21 #72) +#70 := (iff #20 #69) +#67 := (iff #19 #66) +#64 := (iff #18 #61) +#57 := (implies #51 #17) +#62 := (iff #57 #61) +#63 := [rewrite]: #62 +#58 := (iff #18 #57) +#52 := (iff #14 #51) +#49 := (iff #13 #48) +#46 := (iff #12 #45) #47 := [rewrite]: #46 -#42 := (iff #18 #41) -#36 := (iff #14 #35) -#33 := (iff #13 #32) -#30 := (iff #12 #29) -#31 := [rewrite]: #30 -#34 := [quant-intro #31]: #33 -#37 := [monotonicity #34]: #36 -#43 := [monotonicity #37]: #42 -#49 := [trans #43 #47]: #48 -#52 := [quant-intro #49]: #51 -#39 := (iff #15 #38) -#40 := [quant-intro #37]: #39 -#55 := [monotonicity #40 #52]: #54 -#58 := [monotonicity #55]: #57 -#64 := [trans #58 #62]: #63 -#67 := [monotonicity #64]: #66 -#24 := [asserted]: #22 -#68 := [mp #24 #67]: #65 -#73 := [not-or-elim #68]: #72 -#96 := [iff-false #73]: #95 -#97 := [monotonicity #96]: #94 -#101 := [trans #97 #99]: #100 -#104 := [quant-intro #101]: #103 -#69 := [not-or-elim #68]: #53 -#71 := [and-elim #69]: #50 -#105 := [mp #71 #104]: #102 -#145 := [mp~ #105 #144]: #142 -#575 := [mp #145 #574]: #570 -#111 := (f3 ?v0!0) -#106 := (= #111 f1) -#107 := (= #7 ?v0!0) -#108 := (or #28 #107) -#109 := (forall (vars (?v1 S2)) #108) -#112 := (and #106 #109) -#113 := (~ #38 #112) -#121 := (~ #112 #112) -#119 := (~ #109 #109) -#117 := (~ #108 #108) -#118 := [refl]: #117 -#120 := [nnf-pos #118]: #119 -#115 := (~ #106 #106) +#50 := [quant-intro #47]: #49 +#53 := [monotonicity #50]: #52 +#59 := [monotonicity #53]: #58 +#65 := [trans #59 #63]: #64 +#68 := [quant-intro #65]: #67 +#55 := (iff #15 #54) +#56 := [quant-intro #53]: #55 +#71 := [monotonicity #56 #68]: #70 +#74 := [monotonicity #71]: #73 +#80 := [trans #74 #78]: #79 +#83 := [monotonicity #80]: #82 +#43 := [asserted]: #22 +#86 := [mp #43 #83]: #81 +#89 := [not-or-elim #86]: #88 +#98 := [iff-false #89]: #97 +#101 := [monotonicity #98]: #100 +#105 := [trans #101 #103]: #104 +#108 := [quant-intro #105]: #107 +#84 := [not-or-elim #86]: #69 +#87 := [and-elim #84]: #66 +#95 := [mp #87 #108]: #106 +#145 := [mp~ #95 #144]: #142 +#634 := [mp #145 #633]: #629 +#109 := (f3 ?v0!0) +#93 := (= #109 f1) +#94 := (= #7 ?v0!0) +#91 := (or #44 #94) +#92 := (forall (vars (?v1 S2)) #91) +#110 := (and #93 #92) +#111 := (~ #54 #110) +#119 := (~ #110 #110) +#117 := (~ #92 #92) +#115 := (~ #91 #91) #116 := [refl]: #115 -#122 := [monotonicity #116 #120]: #121 -#114 := [sk]: #113 -#123 := [trans #114 #122]: #113 -#70 := [and-elim #69]: #38 -#124 := [mp~ #70 #123]: #112 -#127 := [and-elim #124]: #106 -#148 := (not #106) -#240 := (not #570) -#219 := (or #240 #148 #237) -#238 := (or #148 #237) -#555 := (or #240 #238) -#213 := (iff #555 #219) -#344 := [rewrite]: #213 -#557 := [quant-inst #110]: #555 -#551 := [mp #557 #344]: #219 -#540 := [unit-resolution #551 #127 #575]: #237 -#559 := (or #226 #558) -#560 := [def-axiom]: #559 -#541 := [unit-resolution #560 #540]: #558 -#224 := (or #226 #234) -#225 := [def-axiom]: #224 -#536 := [unit-resolution #225 #540]: #234 -#564 := (forall (vars (?v1 S2)) (:pat #563) #108) -#567 := (iff #109 #564) -#565 := (iff #108 #108) -#566 := [refl]: #565 -#568 := [quant-intro #566]: #567 -#128 := [and-elim #124]: #109 -#569 := [mp #128 #568]: #564 -#562 := (not #564) -#552 := (or #562 #146 #235) -#211 := (or #562 #226) -#553 := (iff #211 #552) -#212 := [rewrite]: #553 -#216 := [quant-inst #233]: #211 -#554 := [mp #216 #212]: #552 -[unit-resolution #554 #569 #536 #541]: false -5cf9316b3855d8f516ed864997fb3cc182641c7f 76 0 -unsat +#118 := [nnf-pos #116]: #117 +#113 := (~ #93 #93) +#114 := [refl]: #113 +#120 := [monotonicity #114 #118]: #119 +#112 := [sk]: #111 +#121 := [trans #112 #120]: #111 +#85 := [and-elim #84]: #54 +#122 := [mp~ #85 #121]: #110 +#125 := [and-elim #122]: #93 +#206 := (not #93) +#299 := (not #629) +#278 := (or #299 #206 #296) +#297 := (or #206 #296) +#614 := (or #299 #297) +#272 := (iff #614 #278) +#403 := [rewrite]: #272 +#616 := [quant-inst #96]: #614 +#610 := [mp #616 #403]: #278 +#599 := [unit-resolution #610 #125 #634]: #296 +#618 := (or #285 #617) +#619 := [def-axiom]: #618 +#600 := [unit-resolution #619 #599]: #617 +#283 := (or #285 #293) +#284 := [def-axiom]: #283 +#595 := [unit-resolution #284 #599]: #293 +#623 := (forall (vars (?v1 S2)) (:pat #622) #91) +#626 := (iff #92 #623) +#624 := (iff #91 #91) +#625 := [refl]: #624 +#627 := [quant-intro #625]: #626 +#126 := [and-elim #122]: #92 +#628 := [mp #126 #627]: #623 +#621 := (not #623) +#611 := (or #621 #208 #294) +#270 := (or #621 #285) +#612 := (iff #270 #611) +#271 := [rewrite]: #612 +#275 := [quant-inst #292]: #270 +#613 := [mp #275 #271]: #611 +[unit-resolution #613 #628 #595 #600]: false +unsat +85de22f5139d27f456b9708b8915cc94f19e85fe 76 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8198,7 +7339,7 @@ #15 := f6 #19 := (f5 f6) #20 := (= #19 f1) -#54 := (not #20) +#70 := (not #20) decl f3 :: (-> S2 S3 S1) decl f4 :: S3 #8 := f4 @@ -8209,64 +7350,64 @@ #12 := (= #11 f1) #9 := (f3 #7 f4) #10 := (= #9 f1) -#28 := (not #10) -#29 := (or #28 #12) -#32 := (forall (vars (?v0 S2)) #29) -#35 := (and #32 #17) -#41 := (not #35) -#42 := (or #41 #20) -#47 := (not #42) +#44 := (not #10) +#45 := (or #44 #12) +#48 := (forall (vars (?v0 S2)) #45) +#51 := (and #48 #17) +#57 := (not #51) +#58 := (or #57 #20) +#63 := (not #58) #13 := (implies #10 #12) #14 := (forall (vars (?v0 S2)) #13) #18 := (and #14 #17) #21 := (implies #18 #20) #22 := (not #21) -#48 := (iff #22 #47) -#45 := (iff #21 #42) -#38 := (implies #35 #20) -#43 := (iff #38 #42) -#44 := [rewrite]: #43 -#39 := (iff #21 #38) -#36 := (iff #18 #35) -#33 := (iff #14 #32) -#30 := (iff #13 #29) -#31 := [rewrite]: #30 -#34 := [quant-intro #31]: #33 -#37 := [monotonicity #34]: #36 -#40 := [monotonicity #37]: #39 -#46 := [trans #40 #44]: #45 -#49 := [monotonicity #46]: #48 -#24 := [asserted]: #22 -#50 := [mp #24 #49]: #47 -#55 := [not-or-elim #50]: #54 -#51 := [not-or-elim #50]: #35 -#53 := [and-elim #51]: #17 -#498 := (pattern #11) -#497 := (pattern #9) -#499 := (forall (vars (?v0 S2)) (:pat #497 #498) #29) -#502 := (iff #32 #499) -#500 := (iff #29 #29) -#501 := [refl]: #500 -#503 := [quant-intro #501]: #502 -#75 := (~ #32 #32) -#77 := (~ #29 #29) -#78 := [refl]: #77 -#76 := [nnf-pos #78]: #75 -#52 := [and-elim #51]: #32 -#79 := [mp~ #52 #76]: #32 -#504 := [mp #79 #503]: #499 -#80 := (not #17) -#82 := (not #499) -#169 := (or #82 #80 #20) -#167 := (or #80 #20) -#160 := (or #82 #167) -#172 := (iff #160 #169) -#173 := [rewrite]: #172 -#171 := [quant-inst #15]: #160 -#170 := [mp #171 #173]: #169 -[unit-resolution #170 #504 #53 #55]: false -36a9521988b6f6920c988fe790beb6e082d3e3e0 74 0 -unsat +#64 := (iff #22 #63) +#61 := (iff #21 #58) +#54 := (implies #51 #20) +#59 := (iff #54 #58) +#60 := [rewrite]: #59 +#55 := (iff #21 #54) +#52 := (iff #18 #51) +#49 := (iff #14 #48) +#46 := (iff #13 #45) +#47 := [rewrite]: #46 +#50 := [quant-intro #47]: #49 +#53 := [monotonicity #50]: #52 +#56 := [monotonicity #53]: #55 +#62 := [trans #56 #60]: #61 +#65 := [monotonicity #62]: #64 +#43 := [asserted]: #22 +#68 := [mp #43 #65]: #63 +#71 := [not-or-elim #68]: #70 +#66 := [not-or-elim #68]: #51 +#69 := [and-elim #66]: #17 +#557 := (pattern #11) +#556 := (pattern #9) +#558 := (forall (vars (?v0 S2)) (:pat #556 #557) #45) +#561 := (iff #48 #558) +#559 := (iff #45 #45) +#560 := [refl]: #559 +#562 := [quant-intro #560]: #561 +#83 := (~ #48 #48) +#81 := (~ #45 #45) +#82 := [refl]: #81 +#84 := [nnf-pos #82]: #83 +#67 := [and-elim #66]: #48 +#73 := [mp~ #67 #84]: #48 +#563 := [mp #73 #562]: #558 +#140 := (not #17) +#142 := (not #558) +#228 := (or #142 #140 #20) +#226 := (or #140 #20) +#219 := (or #142 #226) +#231 := (iff #219 #228) +#232 := [rewrite]: #231 +#230 := [quant-inst #15]: #219 +#229 := [mp #230 #232]: #228 +[unit-resolution #229 #563 #69 #71]: false +unsat +ff730e3fbc712bd1b0cb2a46bedef24362b618c7 74 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8291,64 +7432,63 @@ #14 := (exists (vars (?v0 S2)) #13) #22 := (or #14 #21) #23 := (not #22) -#25 := [asserted]: #23 -#28 := [not-or-elim #25]: #20 -#30 := [and-elim #28]: #19 -#29 := [and-elim #28]: #17 -#495 := (pattern #11) -#494 := (pattern #9) -#61 := (not #12) -#58 := (not #10) -#62 := (or #58 #61) -#496 := (forall (vars (?v0 S2)) (:pat #494 #495) #62) -#73 := (forall (vars (?v0 S2)) #62) -#499 := (iff #73 #496) -#497 := (iff #62 #62) -#498 := [refl]: #497 -#500 := [quant-intro #498]: #499 +#44 := [asserted]: #23 +#49 := [not-or-elim #44]: #20 +#51 := [and-elim #49]: #19 +#50 := [and-elim #49]: #17 +#556 := (pattern #11) +#555 := (pattern #9) +#65 := (not #12) +#64 := (not #10) +#66 := (or #64 #65) +#557 := (forall (vars (?v0 S2)) (:pat #555 #556) #66) +#73 := (forall (vars (?v0 S2)) #66) +#560 := (iff #73 #557) +#558 := (iff #66 #66) +#559 := [refl]: #558 +#561 := [quant-intro #559]: #560 #59 := (not #13) -#54 := (forall (vars (?v0 S2)) #59) -#74 := (iff #54 #73) -#71 := (iff #59 #62) -#63 := (not #62) -#66 := (not #63) -#69 := (iff #66 #62) +#62 := (forall (vars (?v0 S2)) #59) +#74 := (iff #62 #73) +#71 := (iff #59 #66) +#67 := (not #66) +#55 := (not #67) +#69 := (iff #55 #66) #70 := [rewrite]: #69 -#67 := (iff #59 #66) -#64 := (iff #13 #63) -#65 := [rewrite]: #64 -#68 := [monotonicity #65]: #67 +#56 := (iff #59 #55) +#57 := (iff #13 #67) +#58 := [rewrite]: #57 +#68 := [monotonicity #58]: #56 #72 := [trans #68 #70]: #71 #75 := [quant-intro #72]: #74 -#26 := (not #14) -#55 := (~ #26 #54) +#47 := (not #14) +#46 := (~ #47 #62) #60 := (~ #59 #59) -#53 := [refl]: #60 -#56 := [nnf-neg #53]: #55 -#27 := [not-or-elim #25]: #26 -#57 := [mp~ #27 #56]: #54 -#76 := [mp #57 #75]: #73 -#501 := [mp #76 #500]: #496 -#164 := (not #17) -#77 := (not #19) -#166 := (not #496) -#157 := (or #166 #77 #164) -#78 := (or #77 #164) -#168 := (or #166 #78) -#170 := (iff #168 #157) -#167 := [rewrite]: #170 -#169 := [quant-inst #15]: #168 -#171 := [mp #169 #167]: #157 -[unit-resolution #171 #501 #29 #30]: false -3caef628769def96e328f07d5829f3ba60e7a8be 22 0 -unsat +#61 := [refl]: #60 +#52 := [nnf-neg #61]: #46 +#48 := [not-or-elim #44]: #47 +#63 := [mp~ #48 #52]: #62 +#76 := [mp #63 #75]: #73 +#562 := [mp #76 #561]: #557 +#225 := (not #17) +#139 := (not #19) +#227 := (not #557) +#218 := (or #227 #139 #225) +#140 := (or #139 #225) +#229 := (or #227 #140) +#231 := (iff #229 #218) +#228 := [rewrite]: #231 +#230 := [quant-inst #15]: #229 +#232 := [mp #230 #228]: #218 +[unit-resolution #232 #562 #50 #51]: false +unsat +e9bea58a61d26211f4c51dafc9afee93d49dc96f 26 0 #2 := false decl f1 :: S1 #3 := f1 decl f4 :: S1 #9 := f4 #10 := (= f4 f1) -#20 := (not #10) decl f3 :: S1 #7 := f3 #8 := (= f3 f1) @@ -8356,43 +7496,48 @@ #12 := (not #11) #13 := (or #11 #12) #14 := (not #13) -#16 := [asserted]: #14 -#17 := [not-or-elim #16]: #12 -#21 := [not-or-elim #17]: #20 -#18 := (not #8) -#19 := [not-or-elim #17]: #18 -#22 := [not-or-elim #16]: #11 -[unit-resolution #22 #19 #21]: false -0e1cdd4a4193b3d95b7ad20189882443e6b18893 27 0 -unsat +#43 := (iff #14 false) +#1 := true +#38 := (not true) +#41 := (iff #38 false) +#42 := [rewrite]: #41 +#39 := (iff #14 #38) +#36 := (iff #13 true) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#44 := [trans #40 #42]: #43 +#35 := [asserted]: #14 +[mp #35 #44]: false +unsat +969eb616732d66fd3a59354121995900f8f42332 27 0 #2 := false #1 := true #8 := (or false true) #7 := (and true false) #9 := (implies #7 #8) #10 := (not #9) -#32 := (iff #10 false) -#27 := (not true) -#30 := (iff #27 false) -#31 := [rewrite]: #30 -#28 := (iff #10 #27) -#25 := (iff #9 true) -#20 := (implies false true) -#23 := (iff #20 true) -#24 := [rewrite]: #23 -#21 := (iff #9 #20) -#18 := (iff #8 true) -#19 := [rewrite]: #18 -#16 := (iff #7 false) -#17 := [rewrite]: #16 -#22 := [monotonicity #17 #19]: #21 -#26 := [trans #22 #24]: #25 -#29 := [monotonicity #26]: #28 -#33 := [trans #29 #31]: #32 -#12 := [asserted]: #10 -[mp #12 #33]: false -1865879eff2d6a570e2d5d631f9447241f505a6b 23 0 -unsat +#48 := (iff #10 false) +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #10 #43) +#41 := (iff #9 true) +#36 := (implies false true) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #9 #36) +#34 := (iff #8 true) +#35 := [rewrite]: #34 +#32 := (iff #7 false) +#33 := [rewrite]: #32 +#38 := [monotonicity #33 #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#31 := [asserted]: #10 +[mp #31 #49]: false +unsat +0554d9d3c0442590754bd0080e373209e9f303c4 23 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8403,20 +7548,20 @@ #9 := (= #8 f1) #10 := (iff #9 #9) #11 := (not #10) -#24 := (iff #11 false) -#1 := true -#19 := (not true) -#22 := (iff #19 false) -#23 := [rewrite]: #22 -#20 := (iff #11 #19) -#17 := (iff #10 true) -#18 := [rewrite]: #17 -#21 := [monotonicity #18]: #20 -#25 := [trans #21 #23]: #24 -#13 := [asserted]: #11 -[mp #13 #25]: false -22b316633a688953bdb82a6a016351e3b9edef63 25 0 -unsat +#40 := (iff #11 false) +#1 := true +#35 := (not true) +#38 := (iff #35 false) +#39 := [rewrite]: #38 +#36 := (iff #11 #35) +#33 := (iff #10 true) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#32 := [asserted]: #11 +[mp #32 #41]: false +unsat +984bba573a128d0d85b1bac615cf60bd7590bfe3 25 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8429,20 +7574,20 @@ #10 := (= #9 f1) #11 := (iff #10 #10) #12 := (not #11) -#25 := (iff #12 false) -#1 := true -#20 := (not true) -#23 := (iff #20 false) -#24 := [rewrite]: #23 -#21 := (iff #12 #20) -#18 := (iff #11 true) -#19 := [rewrite]: #18 -#22 := [monotonicity #19]: #21 -#26 := [trans #22 #24]: #25 -#14 := [asserted]: #12 -[mp #14 #26]: false -5d78cef53eb597c269d0bcb51799688adca9f822 24 0 -unsat +#41 := (iff #12 false) +#1 := true +#36 := (not true) +#39 := (iff #36 false) +#40 := [rewrite]: #39 +#37 := (iff #12 #36) +#34 := (iff #11 true) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#33 := [asserted]: #12 +[mp #33 #42]: false +unsat +49ae3a9a230a943562434a3318ab9bef51520a37 24 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8454,20 +7599,20 @@ #11 := (not #10) #12 := (if #10 #10 #11) #13 := (not #12) -#26 := (iff #13 false) -#1 := true -#21 := (not true) -#24 := (iff #21 false) -#25 := [rewrite]: #24 -#22 := (iff #13 #21) -#19 := (iff #12 true) -#20 := [rewrite]: #19 -#23 := [monotonicity #20]: #22 -#27 := [trans #23 #25]: #26 -#15 := [asserted]: #13 -[mp #15 #27]: false -1c9273fda2614079bca73f9f9065cfb199fc506c 119 0 -unsat +#42 := (iff #13 false) +#1 := true +#37 := (not true) +#40 := (iff #37 false) +#41 := [rewrite]: #40 +#38 := (iff #13 #37) +#35 := (iff #12 true) +#36 := [rewrite]: #35 +#39 := [monotonicity #36]: #38 +#43 := [trans #39 #41]: #42 +#34 := [asserted]: #13 +[mp #34 #43]: false +unsat +dc53d4d1fa6be018411a9832462fb78b5005d0d6 123 0 #2 := false decl f4 :: S2 #8 := f4 @@ -8477,33 +7622,33 @@ decl inj!0 :: (-> S3 S2) decl f6 :: (-> S2 S3) #28 := (f6 f4) -#115 := (inj!0 #28) -#202 := (= #115 f4) +#179 := (inj!0 #28) +#265 := (= #179 f4) #18 := (:var 0 S2) #19 := (f6 #18) -#113 := (pattern #19) -#105 := (inj!0 #19) -#102 := (= #105 #18) -#531 := (forall (vars (k!0 S2)) (:pat #113) #102) -#104 := (forall (vars (k!0 S2)) (:pat #113) #102) -#532 := (iff #104 #531) -#534 := (iff #531 #531) -#535 := [rewrite]: #534 -#533 := [rewrite]: #532 -#536 := [trans #533 #535]: #532 +#112 := (pattern #19) +#111 := (inj!0 #19) +#108 := (= #111 #18) +#594 := (forall (vars (k!0 S2)) (:pat #112) #108) +#113 := (forall (vars (k!0 S2)) (:pat #112) #108) +#595 := (iff #113 #594) +#597 := (iff #594 #594) +#598 := [rewrite]: #597 +#596 := [rewrite]: #595 +#599 := [trans #596 #598]: #595 #16 := (:var 1 S2) #21 := (= #18 #16) #17 := (f6 #16) #20 := (= #17 #19) -#38 := (not #20) -#39 := (or #38 #21) -#42 := (forall (vars (?v0 S2) (?v1 S2)) #39) -#103 := (iff #42 #104) -#106 := [rewrite]: #103 -#108 := (~ #42 #42) -#110 := (~ #39 #39) -#111 := [refl]: #110 -#109 := [nnf-pos #111]: #108 +#54 := (not #20) +#55 := (or #54 #21) +#58 := (forall (vars (?v0 S2) (?v1 S2)) #55) +#114 := (iff #58 #113) +#115 := [rewrite]: #114 +#118 := (~ #58 #58) +#116 := (~ #55 #55) +#117 := [refl]: #116 +#119 := [nnf-pos #117]: #118 decl f5 :: S2 #11 := f5 #14 := (= f4 f5) @@ -8511,13 +7656,13 @@ #12 := (= f3 f5) #13 := (not #12) #10 := (not #9) -#59 := (and #10 #13 #15 #42) +#82 := (and #10 #13 #15 #58) #27 := (f6 f3) #29 := (= #27 #28) #30 := (not #29) -#67 := (not #59) -#68 := (or #67 #30) -#73 := (not #68) +#85 := (not #82) +#88 := (or #85 #30) +#91 := (not #88) #22 := (implies #20 #21) #23 := (forall (vars (?v0 S2) (?v1 S2)) #22) #24 := (and #15 #23) @@ -8525,69 +7670,73 @@ #26 := (and #10 #25) #31 := (implies #26 #30) #32 := (not #31) -#74 := (iff #32 #73) -#71 := (iff #31 #68) -#64 := (implies #59 #30) -#69 := (iff #64 #68) -#70 := [rewrite]: #69 -#65 := (iff #31 #64) -#62 := (iff #26 #59) -#51 := (and #13 #15 #42) -#56 := (and #10 #51) -#60 := (iff #56 #59) -#61 := [rewrite]: #60 -#57 := (iff #26 #56) -#54 := (iff #25 #51) -#45 := (and #15 #42) -#48 := (and #13 #45) -#52 := (iff #48 #51) -#53 := [rewrite]: #52 -#49 := (iff #25 #48) -#46 := (iff #24 #45) -#43 := (iff #23 #42) -#40 := (iff #22 #39) -#41 := [rewrite]: #40 -#44 := [quant-intro #41]: #43 -#47 := [monotonicity #44]: #46 -#50 := [monotonicity #47]: #49 -#55 := [trans #50 #53]: #54 -#58 := [monotonicity #55]: #57 -#63 := [trans #58 #61]: #62 +#94 := (iff #32 #91) +#61 := (and #15 #58) +#64 := (and #13 #61) +#67 := (and #10 #64) +#73 := (not #67) +#74 := (or #73 #30) +#79 := (not #74) +#92 := (iff #79 #91) +#89 := (iff #74 #88) +#86 := (iff #73 #85) +#83 := (iff #67 #82) +#84 := [rewrite]: #83 +#87 := [monotonicity #84]: #86 +#90 := [monotonicity #87]: #89 +#93 := [monotonicity #90]: #92 +#80 := (iff #32 #79) +#77 := (iff #31 #74) +#70 := (implies #67 #30) +#75 := (iff #70 #74) +#76 := [rewrite]: #75 +#71 := (iff #31 #70) +#68 := (iff #26 #67) +#65 := (iff #25 #64) +#62 := (iff #24 #61) +#59 := (iff #23 #58) +#56 := (iff #22 #55) +#57 := [rewrite]: #56 +#60 := [quant-intro #57]: #59 +#63 := [monotonicity #60]: #62 #66 := [monotonicity #63]: #65 -#72 := [trans #66 #70]: #71 -#75 := [monotonicity #72]: #74 -#34 := [asserted]: #32 -#76 := [mp #34 #75]: #73 -#77 := [not-or-elim #76]: #59 -#81 := [and-elim #77]: #42 -#112 := [mp~ #81 #109]: #42 -#107 := [mp #112 #106]: #104 -#537 := [mp #107 #536]: #531 -#116 := (not #531) -#207 := (or #116 #202) -#204 := [quant-inst #8]: #207 -#187 := [unit-resolution #204 #537]: #202 -#527 := (= f3 #115) -#114 := (inj!0 #27) -#193 := (= #114 #115) -#181 := (= #115 #114) -#206 := (= #28 #27) -#82 := [not-or-elim #76]: #29 -#208 := [symm #82]: #206 -#312 := [monotonicity #208]: #181 -#526 := [symm #312]: #193 -#519 := (= f3 #114) -#201 := (= #114 f3) -#203 := (or #116 #201) -#194 := [quant-inst #7]: #203 -#205 := [unit-resolution #194 #537]: #201 -#192 := [symm #205]: #519 -#528 := [trans #192 #526]: #527 -#529 := [trans #528 #187]: #9 -#78 := [and-elim #77]: #10 -[unit-resolution #78 #529]: false -6e572f819a5565b824096fa179274d819fc9261b 93 0 -unsat +#69 := [monotonicity #66]: #68 +#72 := [monotonicity #69]: #71 +#78 := [trans #72 #76]: #77 +#81 := [monotonicity #78]: #80 +#95 := [trans #81 #93]: #94 +#53 := [asserted]: #32 +#96 := [mp #53 #95]: #91 +#97 := [not-or-elim #96]: #82 +#101 := [and-elim #97]: #58 +#110 := [mp~ #101 #119]: #58 +#109 := [mp #110 #115]: #113 +#600 := [mp #109 #599]: #594 +#180 := (not #594) +#270 := (or #180 #265) +#267 := [quant-inst #8]: #270 +#250 := [unit-resolution #267 #600]: #265 +#590 := (= f3 #179) +#178 := (inj!0 #27) +#256 := (= #178 #179) +#244 := (= #179 #178) +#269 := (= #28 #27) +#102 := [not-or-elim #96]: #29 +#271 := [symm #102]: #269 +#375 := [monotonicity #271]: #244 +#589 := [symm #375]: #256 +#582 := (= f3 #178) +#264 := (= #178 f3) +#266 := (or #180 #264) +#257 := [quant-inst #7]: #266 +#268 := [unit-resolution #257 #600]: #264 +#255 := [symm #268]: #582 +#591 := [trans #255 #589]: #590 +#592 := [trans #591 #250]: #9 +#98 := [and-elim #97]: #10 +[unit-resolution #98 #592]: false +unsat +86ad856b2260c7ba2d06c5558baa33155c591c5a 93 0 #2 := false decl f5 :: S3 #17 := f5 @@ -8599,89 +7748,89 @@ decl f6 :: S2 #21 := f6 #23 := (f3 f6 f5) -#94 := (inj!0 f6 #23) -#181 := (= #94 f5) +#154 := (inj!0 f6 #23) +#240 := (= #154 f5) #8 := (:var 1 S3) -#82 := (:var 0 S2) -#79 := (f3 #82 #8) -#88 := (pattern #79) -#80 := (inj!0 #82 #79) -#87 := (= #80 #8) -#89 := (forall (vars (k!0 S3) (k!1 S2)) (:pat #88) #87) +#78 := (:var 0 S2) +#89 := (f3 #78 #8) +#83 := (pattern #89) +#79 := (inj!0 #78 #89) +#80 := (= #79 #8) +#84 := (forall (vars (k!0 S3) (k!1 S2)) (:pat #83) #80) #10 := (:var 0 S3) #13 := (= #8 #10) #7 := (:var 2 S2) #11 := (f3 #7 #10) #9 := (f3 #7 #8) #12 := (= #9 #11) -#33 := (not #12) -#34 := (or #33 #13) -#37 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S3)) #34) -#90 := (iff #37 #89) -#91 := [rewrite]: #90 -#85 := (~ #37 #37) -#83 := (~ #34 #34) -#84 := [refl]: #83 -#86 := [nnf-pos #84]: #85 +#49 := (not #12) +#50 := (or #49 #13) +#53 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S3)) #50) +#81 := (iff #53 #84) +#82 := [rewrite]: #81 +#87 := (~ #53 #53) +#85 := (~ #50 #50) +#86 := [refl]: #85 +#88 := [nnf-pos #86]: #87 #19 := (not #18) -#40 := (and #37 #19) +#56 := (and #53 #19) #22 := (f3 f6 f4) #24 := (= #22 #23) #25 := (not #24) -#46 := (not #40) -#47 := (or #46 #25) -#52 := (not #47) +#62 := (not #56) +#63 := (or #62 #25) +#68 := (not #63) #14 := (implies #12 #13) #15 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S3)) #14) #20 := (and #15 #19) #26 := (implies #20 #25) #27 := (not #26) -#53 := (iff #27 #52) -#50 := (iff #26 #47) -#43 := (implies #40 #25) -#48 := (iff #43 #47) -#49 := [rewrite]: #48 -#44 := (iff #26 #43) -#41 := (iff #20 #40) -#38 := (iff #15 #37) -#35 := (iff #14 #34) -#36 := [rewrite]: #35 -#39 := [quant-intro #36]: #38 -#42 := [monotonicity #39]: #41 -#45 := [monotonicity #42]: #44 -#51 := [trans #45 #49]: #50 -#54 := [monotonicity #51]: #53 -#29 := [asserted]: #27 -#55 := [mp #29 #54]: #52 -#56 := [not-or-elim #55]: #40 -#57 := [and-elim #56]: #37 -#81 := [mp~ #57 #86]: #37 -#92 := [mp #81 #91]: #89 -#95 := (not #89) -#186 := (or #95 #181) -#183 := [quant-inst #17 #21]: #186 -#166 := [unit-resolution #183 #92]: #181 -#506 := (= f4 #94) -#93 := (inj!0 f6 #22) -#172 := (= #93 #94) -#160 := (= #94 #93) -#185 := (= #23 #22) -#59 := [not-or-elim #55]: #24 -#187 := [symm #59]: #185 -#291 := [monotonicity #187]: #160 -#505 := [symm #291]: #172 -#498 := (= f4 #93) -#180 := (= #93 f4) -#182 := (or #95 #180) -#173 := [quant-inst #16 #21]: #182 -#184 := [unit-resolution #173 #92]: #180 -#171 := [symm #184]: #498 -#507 := [trans #171 #505]: #506 -#508 := [trans #507 #166]: #18 -#58 := [and-elim #56]: #19 -[unit-resolution #58 #508]: false -d7fd68e20eb7b809b8a677cb04f940aa036f5afb 91 0 -unsat +#69 := (iff #27 #68) +#66 := (iff #26 #63) +#59 := (implies #56 #25) +#64 := (iff #59 #63) +#65 := [rewrite]: #64 +#60 := (iff #26 #59) +#57 := (iff #20 #56) +#54 := (iff #15 #53) +#51 := (iff #14 #50) +#52 := [rewrite]: #51 +#55 := [quant-intro #52]: #54 +#58 := [monotonicity #55]: #57 +#61 := [monotonicity #58]: #60 +#67 := [trans #61 #65]: #66 +#70 := [monotonicity #67]: #69 +#48 := [asserted]: #27 +#73 := [mp #48 #70]: #68 +#71 := [not-or-elim #73]: #56 +#72 := [and-elim #71]: #53 +#77 := [mp~ #72 #88]: #53 +#90 := [mp #77 #82]: #84 +#155 := (not #84) +#245 := (or #155 #240) +#242 := [quant-inst #17 #21]: #245 +#225 := [unit-resolution #242 #90]: #240 +#565 := (= f4 #154) +#153 := (inj!0 f6 #22) +#231 := (= #153 #154) +#219 := (= #154 #153) +#244 := (= #23 #22) +#75 := [not-or-elim #73]: #24 +#246 := [symm #75]: #244 +#350 := [monotonicity #246]: #219 +#564 := [symm #350]: #231 +#557 := (= f4 #153) +#239 := (= #153 f4) +#241 := (or #155 #239) +#232 := [quant-inst #16 #21]: #241 +#243 := [unit-resolution #232 #90]: #239 +#230 := [symm #243]: #557 +#566 := [trans #230 #564]: #565 +#567 := [trans #566 #225]: #18 +#74 := [and-elim #71]: #19 +[unit-resolution #74 #567]: false +unsat +dbb9fd47289aae1ee4ef07ea6bbb0529555aea58 91 0 #2 := false decl f5 :: S2 #17 := f5 @@ -8693,87 +7842,87 @@ decl f6 :: S3 #21 := f6 #23 := (f3 f5 f6) -#92 := (inj!0 f6 #23) -#179 := (= #92 f5) +#152 := (inj!0 f6 #23) +#238 := (= #152 f5) #8 := (:var 1 S3) #10 := (:var 0 S2) #11 := (f3 #10 #8) -#82 := (pattern #11) -#86 := (inj!0 #8 #11) -#81 := (= #86 #10) -#87 := (forall (vars (k!0 S3) (k!1 S2)) (:pat #82) #81) +#79 := (pattern #11) +#78 := (inj!0 #8 #11) +#89 := (= #78 #10) +#80 := (forall (vars (k!0 S3) (k!1 S2)) (:pat #79) #89) #7 := (:var 2 S2) #13 := (= #7 #10) #9 := (f3 #7 #8) #12 := (= #9 #11) -#33 := (not #12) -#34 := (or #33 #13) -#37 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S2)) #34) -#88 := (iff #37 #87) -#89 := [rewrite]: #88 -#79 := (~ #37 #37) -#83 := (~ #34 #34) -#84 := [refl]: #83 -#80 := [nnf-pos #84]: #79 +#49 := (not #12) +#50 := (or #49 #13) +#53 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S2)) #50) +#83 := (iff #53 #80) +#84 := [rewrite]: #83 +#87 := (~ #53 #53) +#85 := (~ #50 #50) +#86 := [refl]: #85 +#88 := [nnf-pos #86]: #87 #19 := (not #18) -#40 := (and #37 #19) +#56 := (and #53 #19) #22 := (f3 f4 f6) #24 := (= #22 #23) #25 := (not #24) -#46 := (not #40) -#47 := (or #46 #25) -#52 := (not #47) +#62 := (not #56) +#63 := (or #62 #25) +#68 := (not #63) #14 := (implies #12 #13) #15 := (forall (vars (?v0 S2) (?v1 S3) (?v2 S2)) #14) #20 := (and #15 #19) #26 := (implies #20 #25) #27 := (not #26) -#53 := (iff #27 #52) -#50 := (iff #26 #47) -#43 := (implies #40 #25) -#48 := (iff #43 #47) -#49 := [rewrite]: #48 -#44 := (iff #26 #43) -#41 := (iff #20 #40) -#38 := (iff #15 #37) -#35 := (iff #14 #34) -#36 := [rewrite]: #35 -#39 := [quant-intro #36]: #38 -#42 := [monotonicity #39]: #41 -#45 := [monotonicity #42]: #44 -#51 := [trans #45 #49]: #50 -#54 := [monotonicity #51]: #53 -#29 := [asserted]: #27 -#55 := [mp #29 #54]: #52 -#56 := [not-or-elim #55]: #40 -#57 := [and-elim #56]: #37 -#85 := [mp~ #57 #80]: #37 -#90 := [mp #85 #89]: #87 -#93 := (not #87) -#184 := (or #93 #179) -#181 := [quant-inst #21 #17]: #184 -#164 := [unit-resolution #181 #90]: #179 -#504 := (= f4 #92) -#91 := (inj!0 f6 #22) -#170 := (= #91 #92) -#158 := (= #92 #91) -#183 := (= #23 #22) -#59 := [not-or-elim #55]: #24 -#185 := [symm #59]: #183 -#289 := [monotonicity #185]: #158 -#503 := [symm #289]: #170 -#496 := (= f4 #91) -#178 := (= #91 f4) -#180 := (or #93 #178) -#171 := [quant-inst #21 #16]: #180 -#182 := [unit-resolution #171 #90]: #178 -#169 := [symm #182]: #496 -#505 := [trans #169 #503]: #504 -#506 := [trans #505 #164]: #18 -#58 := [and-elim #56]: #19 -[unit-resolution #58 #506]: false -06c7eb9f7711ee93da7082f0da081b58762fb7a3 26 0 -unsat +#69 := (iff #27 #68) +#66 := (iff #26 #63) +#59 := (implies #56 #25) +#64 := (iff #59 #63) +#65 := [rewrite]: #64 +#60 := (iff #26 #59) +#57 := (iff #20 #56) +#54 := (iff #15 #53) +#51 := (iff #14 #50) +#52 := [rewrite]: #51 +#55 := [quant-intro #52]: #54 +#58 := [monotonicity #55]: #57 +#61 := [monotonicity #58]: #60 +#67 := [trans #61 #65]: #66 +#70 := [monotonicity #67]: #69 +#48 := [asserted]: #27 +#73 := [mp #48 #70]: #68 +#71 := [not-or-elim #73]: #56 +#72 := [and-elim #71]: #53 +#77 := [mp~ #72 #88]: #53 +#81 := [mp #77 #84]: #80 +#153 := (not #80) +#243 := (or #153 #238) +#240 := [quant-inst #21 #17]: #243 +#223 := [unit-resolution #240 #81]: #238 +#563 := (= f4 #152) +#151 := (inj!0 f6 #22) +#229 := (= #151 #152) +#217 := (= #152 #151) +#242 := (= #23 #22) +#75 := [not-or-elim #73]: #24 +#244 := [symm #75]: #242 +#348 := [monotonicity #244]: #217 +#562 := [symm #348]: #229 +#555 := (= f4 #151) +#237 := (= #151 f4) +#239 := (or #153 #237) +#230 := [quant-inst #21 #16]: #239 +#241 := [unit-resolution #230 #81]: #237 +#228 := [symm #241]: #555 +#564 := [trans #228 #562]: #563 +#565 := [trans #564 #223]: #18 +#74 := [and-elim #71]: #19 +[unit-resolution #74 #565]: false +unsat +2999a68dda8007862d764357a968ba4d913e9986 26 0 #2 := false decl f5 :: S2 #13 := f5 @@ -8783,24 +7932,24 @@ #14 := (f3 f4 f5) #15 := (= #14 f5) #16 := (not #15) -#19 := [asserted]: #16 +#38 := [asserted]: #16 #8 := (:var 0 S2) #9 := (f3 f4 #8) #10 := (pattern #9) #11 := (= #9 #8) #12 := (forall (vars (?v0 S2)) (:pat #10) #11) -#46 := (~ #12 #12) -#44 := (~ #11 #11) -#45 := [refl]: #44 -#47 := [nnf-pos #45]: #46 -#18 := [asserted]: #12 -#42 := [mp~ #18 #47]: #12 -#134 := (not #12) -#127 := (or #134 #15) -#138 := [quant-inst #13]: #127 -[unit-resolution #138 #42 #19]: false -fcd8f166db037b8608ae35e66521fd11e6030072 30 0 -unsat +#48 := (~ #12 #12) +#46 := (~ #11 #11) +#47 := [refl]: #46 +#49 := [nnf-pos #47]: #48 +#37 := [asserted]: #12 +#40 := [mp~ #37 #49]: #12 +#193 := (not #12) +#186 := (or #193 #15) +#197 := [quant-inst #13]: #186 +[unit-resolution #197 #40 #38]: false +unsat +57a110a2a64d6237b6a312b1d9c36299cd964fe9 30 0 #2 := false decl f4 :: (-> S3 S4) decl f6 :: S3 @@ -8812,7 +7961,7 @@ #15 := (f3 f5) #18 := (= #15 #17) #19 := (not #18) -#22 := [asserted]: #19 +#41 := [asserted]: #19 #9 := (:var 0 S3) #10 := (f4 #9) #7 := (:var 1 S2) @@ -8820,18 +7969,18 @@ #11 := (pattern #8 #10) #12 := (= #8 #10) #13 := (forall (vars (?v0 S2) (?v1 S3)) (:pat #11) #12) -#49 := (~ #13 #13) -#47 := (~ #12 #12) -#48 := [refl]: #47 -#50 := [nnf-pos #48]: #49 -#21 := [asserted]: #13 -#45 := [mp~ #21 #50]: #13 -#53 := (not #13) -#138 := (or #53 #18) -#46 := [quant-inst #14 #16]: #138 -[unit-resolution #46 #45 #22]: false -c7511e2629c4356cab2cf09d9c82407aa7fe6d05 47 0 -unsat +#51 := (~ #13 #13) +#49 := (~ #12 #12) +#50 := [refl]: #49 +#52 := [nnf-pos #50]: #51 +#40 := [asserted]: #13 +#43 := [mp~ #40 #52]: #13 +#111 := (not #13) +#197 := (or #111 #18) +#112 := [quant-inst #14 #16]: #197 +[unit-resolution #112 #43 #41]: false +unsat +504b592c818b50152d0a32c8e6416d9f077ac9e1 47 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8841,45 +7990,45 @@ #18 := (f4 f5) #19 := (= #18 f1) #20 := (not #19) -#24 := [asserted]: #20 +#50 := [asserted]: #20 decl f3 :: (-> S2 S1) #16 := (f3 f5) #17 := (= #16 f1) -#23 := [asserted]: #17 +#49 := [asserted]: #17 #7 := (:var 0 S2) #8 := (f3 #7) #9 := (pattern #8) #11 := (f4 #7) #12 := (= #11 f1) #10 := (= #8 f1) -#28 := (not #10) -#29 := (or #28 #12) -#32 := (forall (vars (?v0 S2)) (:pat #9) #29) -#57 := (~ #32 #32) -#55 := (~ #29 #29) -#56 := [refl]: #55 -#58 := [nnf-pos #56]: #57 +#42 := (not #10) +#43 := (or #42 #12) +#46 := (forall (vars (?v0 S2)) (:pat #9) #43) +#63 := (~ #46 #46) +#61 := (~ #43 #43) +#62 := [refl]: #61 +#64 := [nnf-pos #62]: #63 #13 := (implies #10 #12) #14 := (forall (vars (?v0 S2)) (:pat #9) #13) -#33 := (iff #14 #32) -#30 := (iff #13 #29) -#31 := [rewrite]: #30 -#34 := [quant-intro #31]: #33 -#22 := [asserted]: #14 -#35 := [mp #22 #34]: #32 -#61 := [mp~ #35 #58]: #32 -#62 := (not #17) -#60 := (not #32) -#149 := (or #60 #62 #19) -#147 := (or #62 #19) -#140 := (or #60 #147) -#152 := (iff #140 #149) -#153 := [rewrite]: #152 -#151 := [quant-inst #15]: #140 -#150 := [mp #151 #153]: #149 -[unit-resolution #150 #61 #23 #24]: false -a6270f81d5df8dfba370dfde937210f23b9d7a30 80 0 -unsat +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#45 := [rewrite]: #44 +#48 := [quant-intro #45]: #47 +#41 := [asserted]: #14 +#51 := [mp #41 #48]: #46 +#53 := [mp~ #51 #64]: #46 +#120 := (not #17) +#122 := (not #46) +#208 := (or #122 #120 #19) +#206 := (or #120 #19) +#199 := (or #122 #206) +#211 := (iff #199 #208) +#212 := [rewrite]: #211 +#210 := [quant-inst #15]: #199 +#209 := [mp #210 #212]: #208 +[unit-resolution #209 #53 #49 #50]: false +unsat +2f0e1a7b2581f301956cfc589414e25e013c2022 80 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8889,15 +8038,15 @@ #23 := (f5 f6) #24 := (= #23 f1) #25 := (not #24) -#30 := [asserted]: #25 +#57 := [asserted]: #25 decl f4 :: (-> S2 S1) #21 := (f4 f6) #22 := (= #21 f1) -#29 := [asserted]: #22 +#55 := [asserted]: #22 decl f3 :: (-> S2 S1) #19 := (f3 f6) #20 := (= #19 f1) -#28 := [asserted]: #20 +#54 := [asserted]: #20 #7 := (:var 0 S2) #9 := (f4 #7) #8 := (f3 #7) @@ -8905,62 +8054,62 @@ #14 := (f5 #7) #15 := (= #14 f1) #12 := (= #9 f1) -#65 := (not #12) +#73 := (not #12) #11 := (= #8 f1) -#62 := (not #11) -#82 := (or #62 #65 #15) -#87 := (forall (vars (?v0 S2)) (:pat #10) #82) +#60 := (not #11) +#80 := (or #60 #73 #15) +#85 := (forall (vars (?v0 S2)) (:pat #10) #80) #13 := (and #11 #12) -#34 := (not #13) -#35 := (or #34 #15) -#38 := (forall (vars (?v0 S2)) (:pat #10) #35) -#88 := (iff #38 #87) -#85 := (iff #35 #82) -#68 := (or #62 #65) -#79 := (or #68 #15) -#83 := (iff #79 #82) -#84 := [rewrite]: #83 -#80 := (iff #35 #79) -#77 := (iff #34 #68) -#61 := (not #68) -#72 := (not #61) -#75 := (iff #72 #68) -#76 := [rewrite]: #75 -#73 := (iff #34 #72) -#66 := (iff #13 #61) -#71 := [rewrite]: #66 -#74 := [monotonicity #71]: #73 -#78 := [trans #74 #76]: #77 -#81 := [monotonicity #78]: #80 -#86 := [trans #81 #84]: #85 -#89 := [quant-intro #86]: #88 -#63 := (~ #38 #38) -#69 := (~ #35 #35) +#47 := (not #13) +#48 := (or #47 #15) +#51 := (forall (vars (?v0 S2)) (:pat #10) #48) +#86 := (iff #51 #85) +#83 := (iff #48 #80) +#61 := (or #60 #73) +#77 := (or #61 #15) +#81 := (iff #77 #80) +#82 := [rewrite]: #81 +#78 := (iff #48 #77) +#75 := (iff #47 #61) +#62 := (not #61) +#65 := (not #62) +#64 := (iff #65 #61) +#74 := [rewrite]: #64 +#66 := (iff #47 #65) +#67 := (iff #13 #62) +#68 := [rewrite]: #67 +#63 := [monotonicity #68]: #66 +#76 := [trans #63 #74]: #75 +#79 := [monotonicity #76]: #78 +#84 := [trans #79 #82]: #83 +#87 := [quant-intro #84]: #86 +#71 := (~ #51 #51) +#69 := (~ #48 #48) #70 := [refl]: #69 -#64 := [nnf-pos #70]: #63 +#72 := [nnf-pos #70]: #71 #16 := (implies #13 #15) #17 := (forall (vars (?v0 S2)) (:pat #10) #16) -#39 := (iff #17 #38) -#36 := (iff #16 #35) -#37 := [rewrite]: #36 -#40 := [quant-intro #37]: #39 -#27 := [asserted]: #17 -#41 := [mp #27 #40]: #38 -#67 := [mp~ #41 #64]: #38 -#90 := [mp #67 #89]: #87 -#178 := (not #22) -#91 := (not #20) -#180 := (not #87) -#171 := (or #180 #91 #178 #24) -#92 := (or #91 #178 #24) -#182 := (or #180 #92) -#184 := (iff #182 #171) -#181 := [rewrite]: #184 -#183 := [quant-inst #18]: #182 -#185 := [mp #183 #181]: #171 -[unit-resolution #185 #90 #28 #29 #30]: false -9a5dc5d34493dd61c515054a38ab88431b1114aa 94 0 -unsat +#52 := (iff #17 #51) +#49 := (iff #16 #48) +#50 := [rewrite]: #49 +#53 := [quant-intro #50]: #52 +#46 := [asserted]: #17 +#56 := [mp #46 #53]: #51 +#59 := [mp~ #56 #72]: #51 +#88 := [mp #59 #87]: #85 +#237 := (not #22) +#151 := (not #20) +#239 := (not #85) +#230 := (or #239 #151 #237 #24) +#152 := (or #151 #237 #24) +#241 := (or #239 #152) +#243 := (iff #241 #230) +#240 := [rewrite]: #243 +#242 := [quant-inst #18]: #241 +#244 := [mp #242 #240]: #230 +[unit-resolution #244 #88 #54 #55 #57]: false +unsat +7566f2da21c88f266bea2fe10fd785422cefa613 94 0 #2 := false decl f1 :: S1 #3 := f1 @@ -8969,21 +8118,21 @@ #20 := f6 #21 := (f3 f6) #22 := (= #21 f1) -#85 := (not #22) +#145 := (not #22) decl f5 :: (-> S2 S1) #26 := (f5 f6) #27 := (= #26 f1) -#172 := (or #85 #27) +#231 := (or #145 #27) decl f4 :: (-> S2 S1) #23 := (f4 f6) #24 := (= #23 f1) -#173 := (not #24) -#87 := (or #173 #27) -#174 := (not #87) -#86 := (not #172) -#165 := (or #86 #174) -#176 := (not #165) -#177 := [hypothesis]: #165 +#232 := (not #24) +#147 := (or #232 #27) +#233 := (not #147) +#146 := (not #231) +#224 := (or #146 #233) +#235 := (not #224) +#236 := [hypothesis]: #224 #7 := (:var 0 S2) #10 := (f4 #7) #11 := (pattern #10) @@ -8992,70 +8141,70 @@ #13 := (f5 #7) #14 := (= #13 f1) #16 := (= #10 f1) -#40 := (not #16) -#41 := (or #40 #14) -#72 := (not #41) +#54 := (not #16) +#55 := (or #54 #14) +#80 := (not #55) #12 := (= #8 f1) -#36 := (not #12) -#37 := (or #36 #14) -#77 := (not #37) -#73 := (or #77 #72) -#78 := (not #73) -#81 := (forall (vars (?v0 S2)) (:pat #9 #11) #78) -#44 := (and #37 #41) -#47 := (forall (vars (?v0 S2)) (:pat #9 #11) #44) -#82 := (iff #47 #81) -#79 := (iff #44 #78) -#80 := [rewrite]: #79 -#83 := [quant-intro #80]: #82 -#70 := (~ #47 #47) -#74 := (~ #44 #44) -#75 := [refl]: #74 -#71 := [nnf-pos #75]: #70 +#50 := (not #12) +#51 := (or #50 #14) +#69 := (not #51) +#70 := (or #69 #80) +#71 := (not #70) +#72 := (forall (vars (?v0 S2)) (:pat #9 #11) #71) +#58 := (and #51 #55) +#61 := (forall (vars (?v0 S2)) (:pat #9 #11) #58) +#73 := (iff #61 #72) +#74 := (iff #58 #71) +#75 := [rewrite]: #74 +#81 := [quant-intro #75]: #73 +#78 := (~ #61 #61) +#76 := (~ #58 #58) +#77 := [refl]: #76 +#79 := [nnf-pos #77]: #78 #17 := (implies #16 #14) #15 := (implies #12 #14) #18 := (and #15 #17) #19 := (forall (vars (?v0 S2)) (:pat #9 #11) #18) -#48 := (iff #19 #47) -#45 := (iff #18 #44) -#42 := (iff #17 #41) -#43 := [rewrite]: #42 -#38 := (iff #15 #37) -#39 := [rewrite]: #38 -#46 := [monotonicity #39 #43]: #45 -#49 := [quant-intro #46]: #48 -#30 := [asserted]: #19 -#50 := [mp #30 #49]: #47 -#76 := [mp~ #50 #71]: #47 -#84 := [mp #76 #83]: #81 -#175 := (not #81) -#179 := (or #175 #176) -#158 := [quant-inst #20]: #179 -#178 := [unit-resolution #158 #84 #177]: false -#493 := [lemma #178]: #176 -#501 := (or #165 #172) -#491 := [def-axiom]: #501 -#135 := [unit-resolution #491 #493]: #172 -#477 := (or #86 #85) +#62 := (iff #19 #61) +#59 := (iff #18 #58) +#56 := (iff #17 #55) +#57 := [rewrite]: #56 +#52 := (iff #15 #51) +#53 := [rewrite]: #52 +#60 := [monotonicity #53 #57]: #59 +#63 := [quant-intro #60]: #62 +#49 := [asserted]: #19 +#66 := [mp #49 #63]: #61 +#68 := [mp~ #66 #79]: #61 +#82 := [mp #68 #81]: #72 +#234 := (not #72) +#238 := (or #234 #235) +#217 := [quant-inst #20]: #238 +#237 := [unit-resolution #217 #82 #236]: false +#552 := [lemma #237]: #235 +#560 := (or #224 #231) +#550 := [def-axiom]: #560 +#194 := [unit-resolution #550 #552]: #231 +#536 := (or #146 #145) #28 := (not #27) -#32 := [asserted]: #28 -#490 := (or #86 #85 #27) -#163 := [def-axiom]: #490 -#139 := [unit-resolution #163 #32]: #477 -#140 := [unit-resolution #139 #135]: #85 -#150 := (or #165 #87) -#155 := [def-axiom]: #150 -#141 := [unit-resolution #155 #493]: #87 -#142 := (or #174 #173) -#500 := (or #174 #173 #27) -#495 := [def-axiom]: #500 -#479 := [unit-resolution #495 #32]: #142 -#480 := [unit-resolution #479 #141]: #173 +#65 := [asserted]: #28 +#549 := (or #146 #145 #27) +#222 := [def-axiom]: #549 +#198 := [unit-resolution #222 #65]: #536 +#199 := [unit-resolution #198 #194]: #145 +#209 := (or #224 #147) +#214 := [def-axiom]: #209 +#200 := [unit-resolution #214 #552]: #147 +#201 := (or #233 #232) +#559 := (or #233 #232 #27) +#554 := [def-axiom]: #559 +#538 := [unit-resolution #554 #65]: #201 +#539 := [unit-resolution #538 #200]: #232 #25 := (or #22 #24) -#31 := [asserted]: #25 -[unit-resolution #31 #480 #140]: false -0174e3da6a3b0d1b54444b41bf1d3bca92d15ce1 47 0 -unsat +#64 := [asserted]: #25 +[unit-resolution #64 #539 #199]: false +unsat +83f372862020f387ac902abe14c65133bfb11c52 47 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9065,45 +8214,45 @@ #19 := (f4 f5) #20 := (= #19 f1) #21 := (not #20) -#25 := [asserted]: #21 +#51 := [asserted]: #21 decl f3 :: (-> S2 S1) #17 := (f3 f5) #18 := (= #17 f1) -#24 := [asserted]: #18 +#50 := [asserted]: #18 #7 := (:var 0 S2) #8 := (f3 #7) #9 := (pattern #8) #12 := (f4 #7) #13 := (= #12 f1) #11 := (= #8 f1) -#29 := (not #11) -#30 := (or #29 #13) -#33 := (forall (vars (?v0 S2)) (:pat #9) #30) -#58 := (~ #33 #33) -#56 := (~ #30 #30) -#57 := [refl]: #56 -#59 := [nnf-pos #57]: #58 +#43 := (not #11) +#44 := (or #43 #13) +#47 := (forall (vars (?v0 S2)) (:pat #9) #44) +#64 := (~ #47 #47) +#62 := (~ #44 #44) +#63 := [refl]: #62 +#65 := [nnf-pos #63]: #64 #14 := (implies #11 #13) #15 := (forall (vars (?v0 S2)) (:pat #9) #14) -#34 := (iff #15 #33) -#31 := (iff #14 #30) -#32 := [rewrite]: #31 -#35 := [quant-intro #32]: #34 -#23 := [asserted]: #15 -#36 := [mp #23 #35]: #33 -#62 := [mp~ #36 #59]: #33 -#63 := (not #18) -#61 := (not #33) -#150 := (or #61 #63 #20) -#148 := (or #63 #20) -#141 := (or #61 #148) -#153 := (iff #141 #150) -#154 := [rewrite]: #153 -#152 := [quant-inst #16]: #141 -#151 := [mp #152 #154]: #150 -[unit-resolution #151 #62 #24 #25]: false -3cf2f5774e9cb53226a2180612e5e1ffeb96f030 54 0 -unsat +#48 := (iff #15 #47) +#45 := (iff #14 #44) +#46 := [rewrite]: #45 +#49 := [quant-intro #46]: #48 +#42 := [asserted]: #15 +#52 := [mp #42 #49]: #47 +#54 := [mp~ #52 #65]: #47 +#120 := (not #18) +#122 := (not #47) +#208 := (or #122 #120 #20) +#206 := (or #120 #20) +#199 := (or #122 #206) +#211 := (iff #199 #208) +#212 := [rewrite]: #211 +#210 := [quant-inst #16]: #199 +#209 := [mp #210 #212]: #208 +[unit-resolution #209 #54 #50 #51]: false +unsat +7f77972298a74beb29a94a34ab2a10ec8952f699 54 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9113,86 +8262,86 @@ #18 := (f4 f5) #19 := (= #18 f1) #20 := (not #19) -#24 := [asserted]: #20 +#50 := [asserted]: #20 decl f3 :: (-> S2 S1) #16 := (f3 f5) #17 := (= #16 f1) -#23 := [asserted]: #17 +#49 := [asserted]: #17 #8 := (:var 0 S2) #11 := (f4 #8) -#477 := (pattern #11) +#536 := (pattern #11) #9 := (f3 #8) -#476 := (pattern #9) +#535 := (pattern #9) #12 := (= #11 f1) #10 := (= #9 f1) -#28 := (not #10) -#29 := (or #28 #12) -#478 := (forall (vars (?v0 S2)) (:pat #476 #477) #29) -#32 := (forall (vars (?v0 S2)) #29) -#481 := (iff #32 #478) -#479 := (iff #29 #29) -#480 := [refl]: #479 -#482 := [quant-intro #480]: #481 -#61 := (~ #32 #32) -#59 := (~ #29 #29) -#60 := [refl]: #59 -#62 := [nnf-pos #60]: #61 +#42 := (not #10) +#43 := (or #42 #12) +#537 := (forall (vars (?v0 S2)) (:pat #535 #536) #43) +#46 := (forall (vars (?v0 S2)) #43) +#540 := (iff #46 #537) +#538 := (iff #43 #43) +#539 := [refl]: #538 +#541 := [quant-intro #539]: #540 +#63 := (~ #46 #46) +#61 := (~ #43 #43) +#62 := [refl]: #61 +#64 := [nnf-pos #62]: #63 #13 := (implies #10 #12) #14 := (forall (vars (?v0 S2)) #13) -#33 := (iff #14 #32) -#30 := (iff #13 #29) -#31 := [rewrite]: #30 -#34 := [quant-intro #31]: #33 -#22 := [asserted]: #14 -#35 := [mp #22 #34]: #32 -#57 := [mp~ #35 #62]: #32 -#483 := [mp #57 #482]: #478 -#58 := (not #17) -#56 := (not #478) -#148 := (or #56 #58 #19) -#146 := (or #58 #19) -#139 := (or #56 #146) -#151 := (iff #139 #148) -#152 := [rewrite]: #151 -#150 := [quant-inst #15]: #139 -#149 := [mp #150 #152]: #148 -[unit-resolution #149 #483 #23 #24]: false -cb6801fac47863f5b3d24e889ecd9d6a4cb46df6 16 0 -unsat +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#45 := [rewrite]: #44 +#48 := [quant-intro #45]: #47 +#41 := [asserted]: #14 +#51 := [mp #41 #48]: #46 +#53 := [mp~ #51 #64]: #46 +#542 := [mp #53 #541]: #537 +#119 := (not #17) +#121 := (not #537) +#207 := (or #121 #119 #19) +#205 := (or #119 #19) +#198 := (or #121 #205) +#210 := (iff #198 #207) +#211 := [rewrite]: #210 +#209 := [quant-inst #15]: #198 +#208 := [mp #209 #211]: #207 +[unit-resolution #208 #542 #49 #50]: false +unsat +9b5c16c73032091e1ec7375b17805aa94497d6a1 16 0 #2 := false #1 := true #7 := (implies true true) #8 := (not #7) -#21 := (iff #8 false) -#16 := (not true) -#19 := (iff #16 false) -#20 := [rewrite]: #19 -#17 := (iff #8 #16) -#14 := (iff #7 true) -#15 := [rewrite]: #14 -#18 := [monotonicity #15]: #17 -#22 := [trans #18 #20]: #21 -#10 := [asserted]: #8 -[mp #10 #22]: false -16e1681a3c64ecd748e6c05bfb8e8c32bcbc7c22 16 0 -unsat +#37 := (iff #8 false) +#32 := (not true) +#35 := (iff #32 false) +#36 := [rewrite]: #35 +#33 := (iff #8 #32) +#30 := (iff #7 true) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#29 := [asserted]: #8 +[mp #29 #38]: false +unsat +4c88c1927abd3263418bbec2ea6a27c312c22645 16 0 #2 := false #7 := (implies false false) #8 := (not #7) -#21 := (iff #8 false) -#1 := true -#16 := (not true) -#19 := (iff #16 false) -#20 := [rewrite]: #19 -#17 := (iff #8 #16) -#14 := (iff #7 true) -#15 := [rewrite]: #14 -#18 := [monotonicity #15]: #17 -#22 := [trans #18 #20]: #21 -#10 := [asserted]: #8 -[mp #10 #22]: false -388e4d9b91ffb1a7279a22ad67a0af16108a59dd 23 0 -unsat +#37 := (iff #8 false) +#1 := true +#32 := (not true) +#35 := (iff #32 false) +#36 := [rewrite]: #35 +#33 := (iff #8 #32) +#30 := (iff #7 true) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#29 := [asserted]: #8 +[mp #29 #38]: false +unsat +2947b9fb81e1118b8d74090c78db2d5a21b405bf 23 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9203,20 +8352,20 @@ #9 := (= #8 f1) #10 := (implies #9 #9) #11 := (not #10) -#24 := (iff #11 false) -#1 := true -#19 := (not true) -#22 := (iff #19 false) -#23 := [rewrite]: #22 -#20 := (iff #11 #19) -#17 := (iff #10 true) -#18 := [rewrite]: #17 -#21 := [monotonicity #18]: #20 -#25 := [trans #21 #23]: #24 -#13 := [asserted]: #11 -[mp #13 #25]: false -8b861d903a9a1054060c90c6ae2af47fe5197810 25 0 -unsat +#40 := (iff #11 false) +#1 := true +#35 := (not true) +#38 := (iff #35 false) +#39 := [rewrite]: #38 +#36 := (iff #11 #35) +#33 := (iff #10 true) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#32 := [asserted]: #11 +[mp #32 #41]: false +unsat +d21a861104797656b2243093005bad40c57dc562 34 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9229,20 +8378,29 @@ #11 := (or #8 #10) #12 := (implies #8 #11) #13 := (not #12) -#26 := (iff #13 false) -#1 := true -#21 := (not true) -#24 := (iff #21 false) -#25 := [rewrite]: #24 -#22 := (iff #13 #21) -#19 := (iff #12 true) -#20 := [rewrite]: #19 -#23 := [monotonicity #20]: #22 -#27 := [trans #23 #25]: #26 -#15 := [asserted]: #13 -[mp #15 #27]: false -25b3a4036a36c70240b5d9e2d0a1d55ba7cba9e7 25 0 -unsat +#51 := (iff #13 false) +#35 := (not #8) +#36 := (or #35 #11) +#39 := (not #36) +#49 := (iff #39 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #39 #44) +#42 := (iff #36 true) +#43 := [rewrite]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#40 := (iff #13 #39) +#37 := (iff #12 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#52 := [trans #41 #50]: #51 +#34 := [asserted]: #13 +[mp #34 #52]: false +unsat +27d2c4925d91cba6878c40dc50ee04811f3ebdce 34 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9255,20 +8413,29 @@ #11 := (or #10 #8) #12 := (implies #8 #11) #13 := (not #12) -#26 := (iff #13 false) -#1 := true -#21 := (not true) -#24 := (iff #21 false) -#25 := [rewrite]: #24 -#22 := (iff #13 #21) -#19 := (iff #12 true) -#20 := [rewrite]: #19 -#23 := [monotonicity #20]: #22 -#27 := [trans #23 #25]: #26 -#15 := [asserted]: #13 -[mp #15 #27]: false -4e6d14ef22716878d11f1de1592f873bbc16eb75 34 0 -unsat +#51 := (iff #13 false) +#35 := (not #8) +#36 := (or #35 #11) +#39 := (not #36) +#49 := (iff #39 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #39 #44) +#42 := (iff #36 true) +#43 := [rewrite]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#40 := (iff #13 #39) +#37 := (iff #12 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#52 := [trans #41 #50]: #51 +#34 := [asserted]: #13 +[mp #34 #52]: false +unsat +9cdbc92a317e7d7c328d4e9ec144f4d7f38bfbb4 42 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9282,108 +8449,112 @@ #9 := (not #8) #13 := (implies #9 #12) #14 := (not #13) -#35 := (iff #14 false) -#1 := true -#30 := (not true) -#33 := (iff #30 false) -#34 := [rewrite]: #33 -#31 := (iff #14 #30) -#28 := (iff #13 true) -#20 := (or #9 #11) -#23 := (implies #9 #20) -#26 := (iff #23 true) -#27 := [rewrite]: #26 -#24 := (iff #13 #23) -#21 := (iff #12 #20) -#22 := [rewrite]: #21 -#25 := [monotonicity #22]: #24 -#29 := [trans #25 #27]: #28 -#32 := [monotonicity #29]: #31 -#36 := [trans #32 #34]: #35 -#16 := [asserted]: #14 -[mp #16 #36]: false -bcec35782699eb337715cce60af2a2265320a550 79 0 -unsat +#59 := (iff #14 false) +#36 := (or #9 #11) +#42 := (or #8 #36) +#47 := (not #42) +#57 := (iff #47 false) +#1 := true +#52 := (not true) +#55 := (iff #52 false) +#56 := [rewrite]: #55 +#53 := (iff #47 #52) +#50 := (iff #42 true) +#51 := [rewrite]: #50 +#54 := [monotonicity #51]: #53 +#58 := [trans #54 #56]: #57 +#48 := (iff #14 #47) +#45 := (iff #13 #42) +#39 := (implies #9 #36) +#43 := (iff #39 #42) +#44 := [rewrite]: #43 +#40 := (iff #13 #39) +#37 := (iff #12 #36) +#38 := [rewrite]: #37 +#41 := [monotonicity #38]: #40 +#46 := [trans #41 #44]: #45 +#49 := [monotonicity #46]: #48 +#60 := [trans #49 #58]: #59 +#35 := [asserted]: #14 +[mp #35 #60]: false +unsat +450b6e38cc400f1592be414b6b28c4b433488131 75 0 #2 := false decl f1 :: S1 #3 := f1 decl f4 :: S1 #9 := f4 #10 := (= f4 f1) -#11 := (not #10) -#99 := (iff #11 false) -#1 := true -#78 := (not true) -#81 := (iff #78 false) -#82 := [rewrite]: #81 -#97 := (iff #11 #78) -#95 := (iff #10 true) -#71 := (= f1 f1) -#74 := (iff #71 true) -#75 := [rewrite]: #74 -#93 := (iff #10 #71) decl f3 :: S1 #7 := f3 #8 := (= f3 f1) -#22 := (not #8) -#23 := (or #22 #10) -#90 := (iff #23 #10) -#85 := (or false #10) -#88 := (iff #85 #10) -#89 := [rewrite]: #88 -#86 := (iff #23 #85) -#83 := (iff #22 false) -#79 := (iff #22 #78) -#76 := (iff #8 true) -#72 := (iff #8 #71) -#26 := (not #23) -#40 := (or #22 #10 #26) -#45 := (not #40) +#38 := (not #8) +#39 := (or #38 #10) +#95 := (iff #39 false) +#90 := (or false false) +#93 := (iff #90 false) +#94 := [rewrite]: #93 +#91 := (iff #39 #90) +#81 := (iff #10 false) +#11 := (not #10) +#42 := (not #39) +#64 := (or #38 #10 #42) +#67 := (not #64) #12 := (implies #8 #10) #13 := (not #12) #14 := (implies #11 #13) #15 := (implies #8 #14) #16 := (not #15) -#46 := (iff #16 #45) -#43 := (iff #15 #40) -#32 := (or #10 #26) -#37 := (implies #8 #32) -#41 := (iff #37 #40) -#42 := [rewrite]: #41 -#38 := (iff #15 #37) -#35 := (iff #14 #32) -#29 := (implies #11 #26) -#33 := (iff #29 #32) -#34 := [rewrite]: #33 -#30 := (iff #14 #29) -#27 := (iff #13 #26) -#24 := (iff #12 #23) -#25 := [rewrite]: #24 -#28 := [monotonicity #25]: #27 -#31 := [monotonicity #28]: #30 -#36 := [trans #31 #34]: #35 -#39 := [monotonicity #36]: #38 -#44 := [trans #39 #42]: #43 +#70 := (iff #16 #67) +#48 := (or #10 #42) +#56 := (or #38 #48) +#61 := (not #56) +#68 := (iff #61 #67) +#65 := (iff #56 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 +#62 := (iff #16 #61) +#59 := (iff #15 #56) +#53 := (implies #8 #48) +#57 := (iff #53 #56) +#58 := [rewrite]: #57 +#54 := (iff #15 #53) +#51 := (iff #14 #48) +#45 := (implies #11 #42) +#49 := (iff #45 #48) +#50 := [rewrite]: #49 +#46 := (iff #14 #45) +#43 := (iff #13 #42) +#40 := (iff #12 #39) +#41 := [rewrite]: #40 +#44 := [monotonicity #41]: #43 #47 := [monotonicity #44]: #46 -#18 := [asserted]: #16 -#48 := [mp #18 #47]: #45 -#49 := [not-or-elim #48]: #8 -#73 := [monotonicity #49]: #72 -#77 := [trans #73 #75]: #76 -#80 := [monotonicity #77]: #79 -#84 := [trans #80 #82]: #83 -#87 := [monotonicity #84]: #86 -#91 := [trans #87 #89]: #90 -#51 := [not-or-elim #48]: #23 -#92 := [mp #51 #91]: #10 -#94 := [monotonicity #92]: #93 -#96 := [trans #94 #75]: #95 -#98 := [monotonicity #96]: #97 -#100 := [trans #98 #82]: #99 -#50 := [not-or-elim #48]: #11 -[mp #50 #100]: false -760574e0ad704bb8f35577bec0aff7d25c63c601 58 0 -unsat +#52 := [trans #47 #50]: #51 +#55 := [monotonicity #52]: #54 +#60 := [trans #55 #58]: #59 +#63 := [monotonicity #60]: #62 +#71 := [trans #63 #69]: #70 +#37 := [asserted]: #16 +#72 := [mp #37 #71]: #67 +#74 := [not-or-elim #72]: #11 +#82 := [iff-false #74]: #81 +#88 := (iff #38 false) +#1 := true +#83 := (not true) +#86 := (iff #83 false) +#87 := [rewrite]: #86 +#84 := (iff #38 #83) +#79 := (iff #8 true) +#73 := [not-or-elim #72]: #8 +#80 := [iff-true #73]: #79 +#85 := [monotonicity #80]: #84 +#89 := [trans #85 #87]: #88 +#92 := [monotonicity #89 #82]: #91 +#96 := [trans #92 #94]: #95 +#75 := [not-or-elim #72]: #39 +[mp #75 #96]: false +unsat +5c79202855f7fb0e7df333ffc44048260e2027d9 43 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9392,111 +8563,93 @@ #7 := f4 #10 := (f5 f4) #11 := (= #10 f1) -#57 := (not #11) -#75 := [hypothesis]: #57 decl f3 :: (-> S2 S1) #8 := (f3 f4) #9 := (= #8 f1) -#20 := (not #9) -#65 := (or #20 #11) #12 := (iff #9 #11) -#21 := (iff #20 #11) -#29 := (not #21) -#52 := (iff #29 #12) +#47 := (not #12) +#62 := (iff #47 false) +#1 := true +#57 := (not true) +#60 := (iff #57 false) +#61 := [rewrite]: #60 +#58 := (iff #47 #57) +#55 := (iff #12 true) +#36 := (not #9) +#37 := (iff #36 #11) +#44 := (not #37) +#52 := (iff #44 #12) #53 := [rewrite]: #52 -#22 := (or #21 #12) -#25 := (not #22) +#38 := (or #37 #12) +#41 := (not #38) #13 := (implies #12 #12) #14 := (not #13) -#26 := (iff #14 #25) -#23 := (iff #13 #22) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#16 := [asserted]: #14 -#28 := [mp #16 #27]: #25 -#30 := [not-or-elim #28]: #29 -#56 := [mp #30 #53]: #12 -#31 := (not #12) -#63 := (or #20 #11 #31) -#64 := [def-axiom]: #63 -#66 := [unit-resolution #64 #56]: #65 -#76 := [unit-resolution #66 #75]: #20 -#73 := (or #9 #11) -#54 := (iff #31 #21) -#55 := [rewrite]: #54 -#32 := [not-or-elim #28]: #31 -#59 := [mp #32 #55]: #21 -#71 := (or #9 #11 #29) -#72 := [def-axiom]: #71 -#74 := [unit-resolution #72 #59]: #73 -#77 := [unit-resolution #74 #76 #75]: false -#78 := [lemma #77]: #11 -#61 := (or #9 #57) -#58 := (or #9 #57 #31) -#60 := [def-axiom]: #58 -#62 := [unit-resolution #60 #56]: #61 -#79 := [unit-resolution #62 #78]: #9 -#69 := (or #20 #57) -#67 := (or #20 #57 #29) -#68 := [def-axiom]: #67 -#70 := [unit-resolution #68 #59]: #69 -[unit-resolution #70 #79 #78]: false -b7a3c12d014ca4816865d67abe41008844e852f3 53 0 -unsat +#42 := (iff #14 #41) +#39 := (iff #13 #38) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#35 := [asserted]: #14 +#46 := [mp #35 #43]: #41 +#45 := [not-or-elim #46]: #44 +#54 := [mp #45 #53]: #12 +#56 := [iff-true #54]: #55 +#59 := [monotonicity #56]: #58 +#63 := [trans #59 #61]: #62 +#48 := [not-or-elim #46]: #47 +[mp #48 #63]: false +unsat +d9f29ce899862b64fac95c45fd1c9213e07c6a55 50 0 #2 := false decl f5 :: S2 #10 := f5 decl f3 :: S2 #7 := f3 #12 := (= f3 f5) -#40 := (not #12) -#74 := (iff #40 false) -#1 := true -#69 := (not true) -#72 := (iff #69 false) -#73 := [rewrite]: #72 -#70 := (iff #40 #69) -#67 := (iff #12 true) -#64 := (= f5 f5) -#62 := (iff #64 true) -#63 := [rewrite]: #62 -#65 := (iff #12 #64) decl f4 :: S2 #8 := f4 #11 := (= f4 f5) -#21 := (not #11) +#77 := (iff #11 #12) +#75 := (iff #12 #11) #9 := (= f3 f4) -#28 := (not #9) -#29 := (or #28 #21 #12) -#34 := (not #29) +#37 := (not #11) +#44 := (not #9) +#53 := (or #44 #37 #12) +#56 := (not #53) #13 := (implies #11 #12) #14 := (implies #9 #13) #15 := (not #14) -#35 := (iff #15 #34) -#32 := (iff #14 #29) -#22 := (or #21 #12) -#25 := (implies #9 #22) -#30 := (iff #25 #29) -#31 := [rewrite]: #30 -#26 := (iff #14 #25) -#23 := (iff #13 #22) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#33 := [trans #27 #31]: #32 -#36 := [monotonicity #33]: #35 -#17 := [asserted]: #15 -#37 := [mp #17 #36]: #34 -#39 := [not-or-elim #37]: #11 -#38 := [not-or-elim #37]: #9 -#61 := [trans #38 #39]: #12 -#66 := [monotonicity #61]: #65 -#68 := [trans #66 #63]: #67 -#71 := [monotonicity #68]: #70 -#75 := [trans #71 #73]: #74 -#41 := [not-or-elim #37]: #40 -[mp #41 #75]: false -7b6d64f8e2fad3aa032b79fa9487b8cccfe3a0a4 42 0 -unsat +#59 := (iff #15 #56) +#38 := (or #37 #12) +#45 := (or #44 #38) +#50 := (not #45) +#57 := (iff #50 #56) +#54 := (iff #45 #53) +#55 := [rewrite]: #54 +#58 := [monotonicity #55]: #57 +#51 := (iff #15 #50) +#48 := (iff #14 #45) +#41 := (implies #9 #38) +#46 := (iff #41 #45) +#47 := [rewrite]: #46 +#42 := (iff #14 #41) +#39 := (iff #13 #38) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#49 := [trans #43 #47]: #48 +#52 := [monotonicity #49]: #51 +#60 := [trans #52 #58]: #59 +#36 := [asserted]: #15 +#61 := [mp #36 #60]: #56 +#62 := [not-or-elim #61]: #9 +#76 := [monotonicity #62]: #75 +#78 := [symm #76]: #77 +#63 := [not-or-elim #61]: #11 +#73 := [mp #63 #78]: #12 +#64 := (not #12) +#65 := [not-or-elim #61]: #64 +[unit-resolution #65 #73]: false +unsat +1ef8c48f30160deabb1afaa941172d3fdc476c91 27 0 #2 := false decl f5 :: (-> S2 S3) decl f4 :: S2 @@ -9506,40 +8659,25 @@ #7 := f3 #10 := (f5 f3) #12 := (= #10 #11) -#29 := (not #12) -#63 := (iff #29 false) -#1 := true -#58 := (not true) -#61 := (iff #58 false) -#62 := [rewrite]: #61 -#59 := (iff #29 #58) -#56 := (iff #12 true) -#51 := (= #11 #11) -#54 := (iff #51 true) -#55 := [rewrite]: #54 -#52 := (iff #12 #51) #9 := (= f3 f4) -#20 := (not #9) -#21 := (or #20 #12) -#24 := (not #21) +#36 := (not #9) +#37 := (or #36 #12) +#40 := (not #37) #13 := (implies #9 #12) #14 := (not #13) -#25 := (iff #14 #24) -#22 := (iff #13 #21) -#23 := [rewrite]: #22 -#26 := [monotonicity #23]: #25 -#16 := [asserted]: #14 -#27 := [mp #16 #26]: #24 -#28 := [not-or-elim #27]: #9 -#50 := [monotonicity #28]: #12 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#60 := [monotonicity #57]: #59 -#64 := [trans #60 #62]: #63 -#30 := [not-or-elim #27]: #29 -[mp #30 #64]: false -f511fb1b0e8a27977d86f256b0e8ec93254257bd 47 0 -unsat +#41 := (iff #14 #40) +#38 := (iff #13 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39]: #41 +#35 := [asserted]: #14 +#45 := [mp #35 #42]: #40 +#43 := [not-or-elim #45]: #9 +#54 := [monotonicity #43]: #12 +#44 := (not #12) +#46 := [not-or-elim #45]: #44 +[unit-resolution #46 #54]: false +unsat +1df4d0f227ca61b0473875213498c8bd2447ee70 55 0 #2 := false decl f1 :: S1 #3 := f1 @@ -9550,59 +8688,67 @@ #7 := f4 #13 := (f3 f4 f5) #14 := (= #13 f1) -#33 := (not #14) +#57 := (not #14) #15 := (= f5 f1) #8 := (:var 0 S1) #9 := (f3 f4 #8) #10 := (= #9 f1) #11 := (forall (vars (?v0 S1)) #10) -#24 := (not #11) -#25 := (or #24 #14 #15) -#28 := (not #25) +#40 := (not #11) +#47 := (or #40 #14 #15) +#50 := (not #47) #16 := (or #14 #15) #17 := (implies #11 #16) #18 := (not #17) -#29 := (iff #18 #28) -#26 := (iff #17 #25) -#27 := [rewrite]: #26 -#30 := [monotonicity #27]: #29 -#20 := [asserted]: #18 -#31 := [mp #20 #30]: #28 -#34 := [not-or-elim #31]: #33 -#478 := (pattern #9) -#479 := (forall (vars (?v0 S1)) (:pat #478) #10) -#482 := (iff #11 #479) -#480 := (iff #10 #10) -#481 := [refl]: #480 -#483 := [quant-intro #481]: #482 -#58 := (~ #11 #11) -#56 := (~ #10 #10) -#57 := [refl]: #56 -#59 := [nnf-pos #57]: #58 -#32 := [not-or-elim #31]: #11 -#62 := [mp~ #32 #59]: #11 -#484 := [mp #62 #483]: #479 -#148 := (not #479) -#149 := (or #148 #14) -#141 := [quant-inst #12]: #149 -[unit-resolution #141 #484 #34]: false -c24e42c8de71d8f3805a038868f7d2820e47f725 83 0 -unsat +#53 := (iff #18 #50) +#41 := (or #40 #16) +#44 := (not #41) +#51 := (iff #44 #50) +#48 := (iff #41 #47) +#49 := [rewrite]: #48 +#52 := [monotonicity #49]: #51 +#45 := (iff #18 #44) +#42 := (iff #17 #41) +#43 := [rewrite]: #42 +#46 := [monotonicity #43]: #45 +#54 := [trans #46 #52]: #53 +#39 := [asserted]: #18 +#55 := [mp #39 #54]: #50 +#58 := [not-or-elim #55]: #57 +#545 := (pattern #9) +#546 := (forall (vars (?v0 S1)) (:pat #545) #10) +#549 := (iff #11 #546) +#547 := (iff #10 #10) +#548 := [refl]: #547 +#550 := [quant-intro #548]: #549 +#72 := (~ #11 #11) +#70 := (~ #10 #10) +#71 := [refl]: #70 +#73 := [nnf-pos #71]: #72 +#56 := [not-or-elim #55]: #11 +#62 := [mp~ #56 #73]: #11 +#551 := [mp #62 #550]: #546 +#215 := (not #546) +#216 := (or #215 #14) +#208 := [quant-inst #12]: #216 +[unit-resolution #208 #551 #58]: false +unsat +4d29349a83c88fd119fed66c5796e61d5e6eb4b7 83 0 #2 := false decl f1 :: S1 #3 := f1 decl f3 :: (-> S2 S2 S1) decl ?v0!0 :: S2 -#60 := ?v0!0 -#61 := (f3 ?v0!0 ?v0!0) -#62 := (= #61 f1) -#63 := (not #62) +#54 := ?v0!0 +#63 := (f3 ?v0!0 ?v0!0) +#55 := (= #63 f1) +#56 := (not #55) #8 := (:var 0 S2) #15 := (f3 #8 #8) #16 := (= #15 f1) #17 := (forall (vars (?v0 S2)) #16) -#34 := (not #17) -#64 := (~ #34 #63) +#49 := (not #17) +#64 := (~ #49 #56) #65 := [sk]: #64 #7 := (:var 1 S2) #11 := (f3 #8 #7) @@ -9611,183 +8757,143 @@ #10 := (= #9 f1) #13 := (and #10 #12) #14 := (forall (vars (?v0 S2) (?v1 S2)) #13) -#25 := (not #14) -#26 := (or #25 #17) -#29 := (not #26) +#41 := (not #14) +#42 := (or #41 #17) +#45 := (not #42) #18 := (implies #14 #17) #19 := (not #18) -#30 := (iff #19 #29) -#27 := (iff #18 #26) -#28 := [rewrite]: #27 -#31 := [monotonicity #28]: #30 -#21 := [asserted]: #19 -#32 := [mp #21 #31]: #29 -#35 := [not-or-elim #32]: #34 -#66 := [mp~ #35 #65]: #63 -#495 := (pattern #11) -#494 := (pattern #9) -#68 := (not #12) -#67 := (not #10) -#69 := (or #67 #68) +#46 := (iff #19 #45) +#43 := (iff #18 #42) +#44 := [rewrite]: #43 +#47 := [monotonicity #44]: #46 +#40 := [asserted]: #19 +#50 := [mp #40 #47]: #45 +#51 := [not-or-elim #50]: #49 +#68 := [mp~ #51 #65]: #56 +#556 := (pattern #11) +#555 := (pattern #9) +#67 := (not #12) +#66 := (not #10) +#69 := (or #66 #67) #70 := (not #69) -#496 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #494 #495) #70) +#557 := (forall (vars (?v0 S2) (?v1 S2)) (:pat #555 #556) #70) #73 := (forall (vars (?v0 S2) (?v1 S2)) #70) -#499 := (iff #73 #496) -#497 := (iff #70 #70) -#498 := [refl]: #497 -#500 := [quant-intro #498]: #499 +#560 := (iff #73 #557) +#558 := (iff #70 #70) +#559 := [refl]: #558 +#561 := [quant-intro #559]: #560 #74 := (iff #14 #73) #71 := (iff #13 #70) #72 := [rewrite]: #71 #75 := [quant-intro #72]: #74 -#57 := (~ #14 #14) -#55 := (~ #13 #13) -#56 := [refl]: #55 -#58 := [nnf-pos #56]: #57 -#33 := [not-or-elim #32]: #14 -#59 := [mp~ #33 #58]: #14 -#76 := [mp #59 #75]: #73 -#501 := [mp #76 #500]: #496 -#171 := (not #496) -#150 := (or #171 #62) -#77 := (or #63 #63) -#164 := (not #77) -#486 := (or #171 #164) -#144 := (iff #486 #150) -#482 := (iff #150 #150) -#155 := [rewrite]: #482 -#170 := (iff #164 #62) -#79 := (not #63) -#168 := (iff #79 #62) -#169 := [rewrite]: #168 -#166 := (iff #164 #79) -#78 := (iff #77 #63) -#165 := [rewrite]: #78 -#157 := [monotonicity #165]: #166 -#167 := [trans #157 #169]: #170 -#275 := [monotonicity #167]: #144 -#156 := [trans #275 #155]: #144 -#488 := [quant-inst #60 #60]: #486 -#489 := [mp #488 #156]: #150 -[unit-resolution #489 #501 #66]: false -d4525927e0ca94e2a8cd999f8854bd810a0a45a9 30 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 +#61 := (~ #14 #14) +#59 := (~ #13 #13) +#60 := [refl]: #59 +#62 := [nnf-pos #60]: #61 +#48 := [not-or-elim #50]: #14 +#53 := [mp~ #48 #62]: #14 +#76 := [mp #53 #75]: #73 +#562 := [mp #76 #561]: #557 +#232 := (not #557) +#211 := (or #232 #55) +#139 := (or #56 #56) +#225 := (not #139) +#547 := (or #232 #225) +#205 := (iff #547 #211) +#543 := (iff #211 #211) +#216 := [rewrite]: #543 +#231 := (iff #225 #55) +#141 := (not #56) +#229 := (iff #141 #55) +#230 := [rewrite]: #229 +#227 := (iff #225 #141) +#140 := (iff #139 #56) +#226 := [rewrite]: #140 +#218 := [monotonicity #226]: #227 +#228 := [trans #218 #230]: #231 +#336 := [monotonicity #228]: #205 +#217 := [trans #336 #216]: #205 +#549 := [quant-inst #54 #54]: #547 +#550 := [mp #549 #217]: #211 +[unit-resolution #550 #562 #68]: false +unsat +263480c8c5909524c36f6198f60c623fbcfc953d 41 0 +#2 := false +decl f1 :: S1 +#3 := f1 +decl f4 :: S1 +#9 := f4 +#10 := (= f4 f1) decl f3 :: S1 #7 := f3 #8 := (= f3 f1) +#11 := (or #8 #10) +#64 := (iff #11 false) +#59 := (or false false) +#62 := (iff #59 false) +#63 := [rewrite]: #62 +#60 := (iff #11 #59) +#57 := (iff #10 false) +#48 := (not #10) #12 := (not #8) -decl f4 :: S1 -#9 := f4 -#10 := (= f4 f1) -#11 := (or #8 #10) #13 := (and #11 #12) -#21 := (not #13) -#22 := (or #21 #10) -#25 := (not #22) +#37 := (not #13) +#38 := (or #37 #10) +#41 := (not #38) #14 := (implies #13 #10) #15 := (not #14) -#26 := (iff #15 #25) -#23 := (iff #14 #22) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#17 := [asserted]: #15 -#28 := [mp #17 #27]: #25 -#29 := [not-or-elim #28]: #13 -#31 := [and-elim #29]: #12 -#32 := (not #10) -#33 := [not-or-elim #28]: #32 -#30 := [and-elim #29]: #11 -[unit-resolution #30 #33 #31]: false -55b7bd861df00e9621f738450037b0df80372741 84 0 -unsat -#2 := false -decl f1 :: S1 -#3 := f1 -decl f5 :: S1 -#12 := f5 -#13 := (= f5 f1) +#42 := (iff #15 #41) +#39 := (iff #14 #38) +#40 := [rewrite]: #39 +#43 := [monotonicity #40]: #42 +#36 := [asserted]: #15 +#46 := [mp #36 #43]: #41 +#49 := [not-or-elim #46]: #48 +#58 := [iff-false #49]: #57 +#55 := (iff #8 false) +#44 := [not-or-elim #46]: #13 +#47 := [and-elim #44]: #12 +#56 := [iff-false #47]: #55 +#61 := [monotonicity #56 #58]: #60 +#65 := [trans #61 #63]: #64 +#45 := [and-elim #44]: #11 +[mp #45 #65]: false +unsat +050883983ebe99dc3b7f24a011b1724b1b2c4dd9 33 0 +#2 := false +decl f1 :: S1 +#3 := f1 decl f6 :: S1 #14 := f6 #15 := (= f6 f1) -#64 := (not #15) -#63 := (not #13) -#65 := (or #63 #64) -#66 := (not #65) +decl f5 :: S1 +#12 := f5 +#13 := (= f5 f1) +#16 := (and #13 #15) decl f4 :: S1 #9 := f4 #10 := (= f4 f1) -#58 := (not #10) decl f3 :: S1 #7 := f3 #8 := (= f3 f1) -#57 := (not #8) -#59 := (or #57 #58) -#60 := (not #59) -#101 := [hypothesis]: #60 -#89 := (or #59 #8) -#90 := [def-axiom]: #89 -#102 := [unit-resolution #90 #101]: #8 -#91 := (or #59 #10) -#92 := [def-axiom]: #91 -#103 := [unit-resolution #92 #101]: #10 #11 := (and #8 #10) -#34 := (not #11) -#78 := (iff #34 #59) -#73 := (not #60) -#76 := (iff #73 #59) -#77 := [rewrite]: #76 -#74 := (iff #34 #73) -#61 := (iff #11 #60) -#62 := [rewrite]: #61 -#75 := [monotonicity #62]: #74 -#79 := [trans #75 #77]: #78 -#16 := (and #13 #15) #17 := (or #11 #16) -#25 := (not #17) -#26 := (or #25 #11 #16) -#29 := (not #26) #18 := (implies #17 #17) #19 := (not #18) -#30 := (iff #19 #29) -#27 := (iff #18 #26) -#28 := [rewrite]: #27 -#31 := [monotonicity #28]: #30 -#21 := [asserted]: #19 -#32 := [mp #21 #31]: #29 -#35 := [not-or-elim #32]: #34 -#80 := [mp #35 #79]: #59 -#104 := [unit-resolution #80 #103 #102]: false -#105 := [lemma #104]: #59 -#69 := (or #60 #66) -#70 := (iff #17 #69) -#67 := (iff #16 #66) -#68 := [rewrite]: #67 -#71 := [monotonicity #62 #68]: #70 -#33 := [not-or-elim #32]: #17 -#72 := [mp #33 #71]: #69 -#106 := [unit-resolution #72 #105]: #66 -#95 := (or #65 #13) -#96 := [def-axiom]: #95 -#107 := [unit-resolution #96 #106]: #13 -#97 := (or #65 #15) -#98 := [def-axiom]: #97 -#108 := [unit-resolution #98 #106]: #15 -#36 := (not #16) -#86 := (iff #36 #65) -#81 := (not #66) -#84 := (iff #81 #65) -#85 := [rewrite]: #84 -#82 := (iff #36 #81) -#83 := [monotonicity #68]: #82 -#87 := [trans #83 #85]: #86 -#37 := [not-or-elim #32]: #36 -#88 := [mp #37 #87]: #65 -[unit-resolution #88 #108 #107]: false -b837a165a2820c577cec1ceb0af63b70266981a2 21 0 -unsat +#48 := (iff #19 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #19 #43) +#41 := (iff #18 true) +#42 := [rewrite]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#40 := [asserted]: #19 +[mp #40 #49]: false +unsat +5826af388cc5a35d2efebb6e51d8775678624a36 21 0 #2 := false decl f3 :: (-> S2 Int S3) #8 := 0::Int @@ -9796,20 +8902,20 @@ #9 := (f3 f4 0::Int) #10 := (= #9 #9) #11 := (not #10) -#44 := (iff #11 false) -#1 := true -#39 := (not true) -#42 := (iff #39 false) -#43 := [rewrite]: #42 -#40 := (iff #11 #39) -#37 := (iff #10 true) -#38 := [rewrite]: #37 -#41 := [monotonicity #38]: #40 -#45 := [trans #41 #43]: #44 -#30 := [asserted]: #11 -[mp #30 #45]: false -02dc6935c407b4ef97754e97998a7b070a0b59ca 21 0 -unsat +#56 := (iff #11 false) +#1 := true +#51 := (not true) +#54 := (iff #51 false) +#55 := [rewrite]: #54 +#52 := (iff #11 #51) +#49 := (iff #10 true) +#50 := [rewrite]: #49 +#53 := [monotonicity #50]: #52 +#57 := [trans #53 #55]: #56 +#48 := [asserted]: #11 +[mp #48 #57]: false +unsat +5e5769d2d58c1ee052480c0b6f4e0dcef2e67169 21 0 #2 := false decl f3 :: (-> S2 Int S3) #8 := 1::Int @@ -9818,103 +8924,77 @@ #9 := (f3 f4 1::Int) #10 := (= #9 #9) #11 := (not #10) -#45 := (iff #11 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #11 #40) -#38 := (iff #10 true) -#39 := [rewrite]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#31 := [asserted]: #11 -[mp #31 #46]: false -44ca1520d643e1582af61ce0d7aa9f785f2ec009 31 0 -unsat +#57 := (iff #11 false) +#1 := true +#52 := (not true) +#55 := (iff #52 false) +#56 := [rewrite]: #55 +#53 := (iff #11 #52) +#50 := (iff #10 true) +#51 := [rewrite]: #50 +#54 := [monotonicity #51]: #53 +#58 := [trans #54 #56]: #57 +#49 := [asserted]: #11 +[mp #49 #58]: false +unsat +789dd368fa77887408c1828978af0572cced1843 18 0 #2 := false #8 := 1::Int #7 := 0::Int #9 := (< 0::Int 1::Int) #10 := (not #9) -#36 := (iff #10 false) -#1 := true -#31 := (not true) -#34 := (iff #31 false) -#35 := [rewrite]: #34 -#32 := (iff #10 #31) -#29 := (iff #9 true) -#16 := (<= 1::Int 0::Int) -#17 := (not #16) -#27 := (iff #17 true) -#22 := (not false) -#25 := (iff #22 true) -#26 := [rewrite]: #25 -#23 := (iff #17 #22) -#20 := (iff #16 false) -#21 := [rewrite]: #20 -#24 := [monotonicity #21]: #23 -#28 := [trans #24 #26]: #27 -#18 := (iff #9 #17) -#19 := [rewrite]: #18 -#30 := [trans #19 #28]: #29 -#33 := [monotonicity #30]: #32 -#37 := [trans #33 #35]: #36 -#12 := [asserted]: #10 -[mp #12 #37]: false -805b06e44b11919f00a075b70915715352398ed7 18 0 -unsat +#40 := (iff #10 false) +#1 := true +#35 := (not true) +#38 := (iff #35 false) +#39 := [rewrite]: #38 +#36 := (iff #10 #35) +#33 := (iff #9 true) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#30 := [asserted]: #10 +[mp #30 #41]: false +unsat +a9af7c16cc7269b2c7732f50c5ea73bba73088c0 18 0 #2 := false #8 := 1::Int #7 := 0::Int #9 := (<= 0::Int 1::Int) #10 := (not #9) -#23 := (iff #10 false) -#1 := true -#18 := (not true) -#21 := (iff #18 false) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#16 := (iff #9 true) -#17 := [rewrite]: #16 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#12 := [asserted]: #10 -[mp #12 #24]: false -cb23173094fd6f97948421b52674d05e743e64af 31 0 -unsat +#40 := (iff #10 false) +#1 := true +#35 := (not true) +#38 := (iff #35 false) +#39 := [rewrite]: #38 +#36 := (iff #10 #35) +#33 := (iff #9 true) +#34 := [rewrite]: #33 +#37 := [monotonicity #34]: #36 +#41 := [trans #37 #39]: #40 +#30 := [asserted]: #10 +[mp #30 #41]: false +unsat +850b27c2d840b86ab5903dbe975b63ba1dab1ea7 18 0 #2 := false #8 := 2345678901::Int #7 := 123456789::Int #9 := (< 123456789::Int 2345678901::Int) #10 := (not #9) -#37 := (iff #10 false) -#1 := true -#32 := (not true) -#35 := (iff #32 false) -#36 := [rewrite]: #35 -#33 := (iff #10 #32) -#30 := (iff #9 true) -#16 := (<= 2345678901::Int 123456789::Int) -#17 := (not #16) -#28 := (iff #17 true) -#23 := (not false) -#26 := (iff #23 true) -#27 := [rewrite]: #26 -#24 := (iff #17 #23) -#20 := (iff #16 false) -#22 := [rewrite]: #20 -#25 := [monotonicity #22]: #24 -#29 := [trans #25 #27]: #28 -#18 := (iff #9 #17) -#19 := [rewrite]: #18 -#31 := [trans #19 #29]: #30 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#12 := [asserted]: #10 -[mp #12 #38]: false -57796d4943fee61a1421439bead7ffbccb1f7332 32 0 -unsat +#41 := (iff #10 false) +#1 := true +#36 := (not true) +#39 := (iff #36 false) +#40 := [rewrite]: #39 +#37 := (iff #10 #36) +#34 := (iff #9 true) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#31 := [asserted]: #10 +[mp #31 #42]: false +unsat +9e233efcf15a85c9402b5ed5fea5d2ee7d7da37e 32 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 1::Int @@ -9926,28 +9006,28 @@ #11 := (f3 f4 #10) #13 := (= #11 #12) #14 := (not #13) -#55 := (iff #14 false) -#1 := true -#50 := (not true) -#53 := (iff #50 false) -#54 := [rewrite]: #53 -#51 := (iff #14 #50) -#48 := (iff #13 true) -#43 := (= #12 #12) -#46 := (iff #43 true) -#47 := [rewrite]: #46 -#44 := (iff #13 #43) -#40 := (= #10 1::Int) -#41 := [rewrite]: #40 -#42 := [monotonicity #41]: #13 -#45 := [monotonicity #42]: #44 -#49 := [trans #45 #47]: #48 -#52 := [monotonicity #49]: #51 -#56 := [trans #52 #54]: #55 -#33 := [asserted]: #14 -[mp #33 #56]: false -94bb208fb4bd74ca4a0d2702fe8efdee4ab2e9da 39 0 -unsat +#67 := (iff #14 false) +#1 := true +#62 := (not true) +#65 := (iff #62 false) +#66 := [rewrite]: #65 +#63 := (iff #14 #62) +#60 := (iff #13 true) +#55 := (= #12 #12) +#58 := (iff #55 true) +#59 := [rewrite]: #58 +#56 := (iff #13 #55) +#52 := (= #10 1::Int) +#53 := [rewrite]: #52 +#54 := [monotonicity #53]: #13 +#57 := [monotonicity #54]: #56 +#61 := [trans #57 #59]: #60 +#64 := [monotonicity #61]: #63 +#68 := [trans #64 #66]: #67 +#51 := [asserted]: #14 +[mp #51 #68]: false +unsat +abc5d7d63d1192687b6f5ea215db822a41f37207 39 0 #2 := false decl f3 :: (-> S2 Int S3) #11 := 1::Int @@ -9963,31 +9043,31 @@ #13 := (f3 f4 #12) #14 := (= #13 #13) #15 := (not #14) -#59 := (iff #15 false) -#1 := true -#54 := (not true) -#57 := (iff #54 false) -#58 := [rewrite]: #57 -#55 := (iff #15 #54) -#52 := (iff #14 true) -#41 := (+ 1::Int #10) -#44 := (f3 f4 #41) -#47 := (= #44 #44) -#50 := (iff #47 true) -#51 := [rewrite]: #50 -#48 := (iff #14 #47) -#45 := (= #13 #44) -#42 := (= #12 #41) -#43 := [rewrite]: #42 -#46 := [monotonicity #43]: #45 -#49 := [monotonicity #46 #46]: #48 -#53 := [trans #49 #51]: #52 -#56 := [monotonicity #53]: #55 -#60 := [trans #56 #58]: #59 -#34 := [asserted]: #15 -[mp #34 #60]: false -c089e88f20d062979d8a0b72e27bcc2d6ec57d80 45 0 -unsat +#71 := (iff #15 false) +#1 := true +#66 := (not true) +#69 := (iff #66 false) +#70 := [rewrite]: #69 +#67 := (iff #15 #66) +#64 := (iff #14 true) +#53 := (+ 1::Int #10) +#56 := (f3 f4 #53) +#59 := (= #56 #56) +#62 := (iff #59 true) +#63 := [rewrite]: #62 +#60 := (iff #14 #59) +#57 := (= #13 #56) +#54 := (= #12 #53) +#55 := [rewrite]: #54 +#58 := [monotonicity #55]: #57 +#61 := [monotonicity #58 #58]: #60 +#65 := [trans #61 #63]: #64 +#68 := [monotonicity #65]: #67 +#72 := [trans #68 #70]: #71 +#52 := [asserted]: #15 +[mp #52 #72]: false +unsat +4f23e7a09b61a0353f978f0745982e2d205dbdd8 35 0 #2 := false #10 := 1::Int decl f3 :: (-> S2 S3 Int) @@ -9999,41 +9079,31 @@ #11 := (+ #9 1::Int) #12 := (< #9 #11) #13 := (not #12) -#68 := (iff #13 false) +#70 := (iff #13 false) +#52 := (+ 1::Int #9) +#55 := (< #9 #52) +#58 := (not #55) +#68 := (iff #58 false) #1 := true #63 := (not true) #66 := (iff #63 false) #67 := [rewrite]: #66 -#64 := (iff #13 #63) -#61 := (iff #12 true) -#40 := (+ 1::Int #9) -#46 := (<= #40 #9) -#47 := (not #46) -#59 := (iff #47 true) -#54 := (not false) -#57 := (iff #54 true) -#58 := [rewrite]: #57 -#55 := (iff #47 #54) -#52 := (iff #46 false) -#53 := [rewrite]: #52 -#56 := [monotonicity #53]: #55 -#60 := [trans #56 #58]: #59 -#50 := (iff #12 #47) -#43 := (< #9 #40) -#48 := (iff #43 #47) -#49 := [rewrite]: #48 -#44 := (iff #12 #43) -#41 := (= #11 #40) -#42 := [rewrite]: #41 -#45 := [monotonicity #42]: #44 -#51 := [trans #45 #49]: #50 -#62 := [trans #51 #60]: #61 +#64 := (iff #58 #63) +#61 := (iff #55 true) +#62 := [rewrite]: #61 #65 := [monotonicity #62]: #64 #69 := [trans #65 #67]: #68 -#33 := [asserted]: #13 -[mp #33 #69]: false -ff72406b31ddd8b52ba835673c07232596ff0a01 438 0 -unsat +#59 := (iff #13 #58) +#56 := (iff #12 #55) +#53 := (= #11 #52) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#60 := [monotonicity #57]: #59 +#71 := [trans #60 #69]: #70 +#51 := [asserted]: #13 +[mp #51 #71]: false +unsat +21c805ab7618df702910e81acc19099bb8f38592 435 0 #2 := false decl f5 :: (-> S4 S3 Int) decl f8 :: S3 @@ -10042,308 +9112,305 @@ #8 := f6 #15 := (f5 f6 f8) #11 := 1::Int -#53 := (+ 1::Int #15) +#65 := (+ 1::Int #15) decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#47 := (+ 1::Int #10) -#342 := (= #47 #53) -#309 := (not #342) +#59 := (+ 1::Int #10) +#398 := (= #59 #65) +#365 := (not #398) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 -#56 := (f3 f4 #53) -#50 := (f3 f4 #47) -#59 := (= #50 #56) -#571 := (f5 f6 #50) -#388 := (f3 f4 #571) -#326 := (= #388 #56) -#320 := (= #56 #388) -#316 := (= #53 #571) -#333 := (= #47 #571) -#250 := -1::Int -#210 := (* -1::Int #571) -#211 := (+ #10 #210) -#560 := (<= #211 -1::Int) -#548 := (= #211 -1::Int) -#562 := (>= #10 -1::Int) +#68 := (f3 f4 #65) +#62 := (f3 f4 #59) +#71 := (= #62 #68) +#627 := (f5 f6 #62) +#444 := (f3 f4 #627) +#382 := (= #444 #68) +#376 := (= #68 #444) +#372 := (= #65 #627) +#389 := (= #59 #627) +#306 := -1::Int +#266 := (* -1::Int #627) +#267 := (+ #10 #266) +#616 := (<= #267 -1::Int) +#604 := (= #267 -1::Int) +#618 := (>= #10 -1::Int) #27 := 0::Int -#409 := (>= #10 0::Int) -#387 := (= #10 0::Int) -#229 := (f3 f4 #10) -#402 := (f5 f6 #229) -#410 := (= #402 0::Int) -#373 := (not #409) -#389 := [hypothesis]: #373 -#411 := (or #409 #410) +#465 := (>= #10 0::Int) +#443 := (= #10 0::Int) +#285 := (f3 f4 #10) +#458 := (f5 f6 #285) +#466 := (= #458 0::Int) +#429 := (not #465) +#445 := [hypothesis]: #429 +#467 := (or #465 #466) #28 := (:var 0 Int) #30 := (f3 f4 #28) -#580 := (pattern #30) +#636 := (pattern #30) #31 := (f5 f6 #30) #36 := (= #31 0::Int) -#127 := (>= #28 0::Int) -#138 := (or #127 #36) -#587 := (forall (vars (?v0 Int)) (:pat #580) #138) -#141 := (forall (vars (?v0 Int)) #138) -#590 := (iff #141 #587) -#588 := (iff #138 #138) -#589 := [refl]: #588 -#591 := [quant-intro #589]: #590 -#155 := (~ #141 #141) -#153 := (~ #138 #138) -#154 := [refl]: #153 -#156 := [nnf-pos #154]: #155 -#29 := (<= 0::Int #28) -#96 := (or #29 #36) -#101 := (forall (vars (?v0 Int)) #96) -#142 := (iff #101 #141) -#139 := (iff #96 #138) -#125 := (iff #29 #127) -#126 := [rewrite]: #125 -#140 := [monotonicity #126]: #139 -#143 := [quant-intro #140]: #142 +#98 := (>= #28 0::Int) +#128 := (or #98 #36) +#643 := (forall (vars (?v0 Int)) (:pat #636) #128) +#131 := (forall (vars (?v0 Int)) #128) +#646 := (iff #131 #643) +#644 := (iff #128 #128) +#645 := [refl]: #644 +#647 := [quant-intro #645]: #646 +#144 := (~ #131 #131) +#152 := (~ #128 #128) +#153 := [refl]: #152 +#145 := [nnf-pos #153]: #144 #35 := (< #28 0::Int) #37 := (implies #35 #36) #38 := (forall (vars (?v0 Int)) #37) -#102 := (iff #38 #101) -#99 := (iff #37 #96) -#79 := (not #29) -#93 := (implies #79 #36) -#97 := (iff #93 #96) -#98 := [rewrite]: #97 -#94 := (iff #37 #93) -#88 := (iff #35 #79) -#90 := (iff #79 #79) -#75 := (iff #29 #29) -#76 := [rewrite]: #75 -#91 := [monotonicity #76]: #90 -#89 := [rewrite]: #88 -#92 := [trans #89 #91]: #88 -#95 := [monotonicity #92]: #94 -#100 := [trans #95 #98]: #99 -#103 := [quant-intro #100]: #102 -#43 := [asserted]: #38 -#104 := [mp #43 #103]: #101 -#144 := [mp #104 #143]: #141 -#157 := [mp~ #144 #156]: #141 -#592 := [mp #157 #591]: #587 -#272 := (not #587) -#414 := (or #272 #409 #410) -#507 := (or #272 #411) -#508 := (iff #507 #414) -#495 := [rewrite]: #508 -#504 := [quant-inst #10]: #507 -#497 := [mp #504 #495]: #414 -#350 := [unit-resolution #497 #592]: #411 -#351 := [unit-resolution #350 #389]: #410 -#358 := (= #10 #402) -#416 := (= f7 #229) -#565 := (= #229 f7) +#134 := (iff #38 #131) +#112 := (not #35) +#113 := (or #112 #36) +#116 := (forall (vars (?v0 Int)) #113) +#132 := (iff #116 #131) +#129 := (iff #113 #128) +#126 := (iff #112 #98) +#99 := (not #98) +#121 := (not #99) +#124 := (iff #121 #98) +#125 := [rewrite]: #124 +#122 := (iff #112 #121) +#119 := (iff #35 #99) +#120 := [rewrite]: #119 +#123 := [monotonicity #120]: #122 +#127 := [trans #123 #125]: #126 +#130 := [monotonicity #127]: #129 +#133 := [quant-intro #130]: #132 +#117 := (iff #38 #116) +#114 := (iff #37 #113) +#115 := [rewrite]: #114 +#118 := [quant-intro #115]: #117 +#135 := [trans #118 #133]: #134 +#111 := [asserted]: #38 +#136 := [mp #111 #135]: #131 +#154 := [mp~ #136 #145]: #131 +#648 := [mp #154 #647]: #643 +#328 := (not #643) +#470 := (or #328 #465 #466) +#563 := (or #328 #467) +#564 := (iff #563 #470) +#551 := [rewrite]: #564 +#560 := [quant-inst #10]: #563 +#553 := [mp #560 #551]: #470 +#406 := [unit-resolution #553 #648]: #467 +#407 := [unit-resolution #406 #445]: #466 +#414 := (= #10 #458) +#472 := (= f7 #285) +#621 := (= #285 f7) #22 := (:var 0 S3) #23 := (f5 f6 #22) -#573 := (pattern #23) +#629 := (pattern #23) #24 := (f3 f4 #23) #25 := (= #24 #22) -#574 := (forall (vars (?v0 S3)) (:pat #573) #25) +#630 := (forall (vars (?v0 S3)) (:pat #629) #25) #26 := (forall (vars (?v0 S3)) #25) -#577 := (iff #26 #574) -#575 := (iff #25 #25) -#576 := [refl]: #575 -#578 := [quant-intro #576]: #577 -#147 := (~ #26 #26) -#151 := (~ #25 #25) -#152 := [refl]: #151 -#148 := [nnf-pos #152]: #147 -#41 := [asserted]: #26 -#149 := [mp~ #41 #148]: #26 -#579 := [mp #149 #578]: #574 -#354 := (not #574) -#561 := (or #354 #565) -#234 := [quant-inst #9]: #561 -#395 := [unit-resolution #234 #579]: #565 -#371 := [symm #395]: #416 -#360 := [monotonicity #371]: #358 -#361 := [trans #360 #351]: #387 -#362 := (not #387) -#364 := (or #362 #409) -#365 := [th-lemma arith triangle-eq]: #364 -#366 := [unit-resolution #365 #389 #361]: false -#367 := [lemma #366]: #409 -#338 := (or #373 #562) -#336 := [th-lemma arith farkas 1 1]: #338 -#339 := [unit-resolution #336 #367]: #562 -#563 := (not #562) -#213 := (or #563 #548) +#633 := (iff #26 #630) +#631 := (iff #25 #25) +#632 := [refl]: #631 +#634 := [quant-intro #632]: #633 +#150 := (~ #26 #26) +#148 := (~ #25 #25) +#149 := [refl]: #148 +#151 := [nnf-pos #149]: #150 +#86 := [asserted]: #26 +#140 := [mp~ #86 #151]: #26 +#635 := [mp #140 #634]: #630 +#410 := (not #630) +#617 := (or #410 #621) +#290 := [quant-inst #9]: #617 +#451 := [unit-resolution #290 #635]: #621 +#427 := [symm #451]: #472 +#416 := [monotonicity #427]: #414 +#417 := [trans #416 #407]: #443 +#418 := (not #443) +#420 := (or #418 #465) +#421 := [th-lemma arith triangle-eq]: #420 +#422 := [unit-resolution #421 #445 #417]: false +#423 := [lemma #422]: #465 +#394 := (or #429 #618) +#392 := [th-lemma arith farkas 1 1]: #394 +#395 := [unit-resolution #392 #423]: #618 +#619 := (not #618) +#269 := (or #619 #604) #32 := (= #31 #28) -#128 := (not #127) -#131 := (or #128 #32) -#581 := (forall (vars (?v0 Int)) (:pat #580) #131) -#134 := (forall (vars (?v0 Int)) #131) -#584 := (iff #134 #581) -#582 := (iff #131 #131) -#583 := [refl]: #582 -#585 := [quant-intro #583]: #584 -#124 := (~ #134 #134) -#150 := (~ #131 #131) -#123 := [refl]: #150 -#145 := [nnf-pos #123]: #124 -#80 := (or #79 #32) -#84 := (forall (vars (?v0 Int)) #80) -#135 := (iff #84 #134) -#132 := (iff #80 #131) -#129 := (iff #79 #128) -#130 := [monotonicity #126]: #129 -#133 := [monotonicity #130]: #132 -#136 := [quant-intro #133]: #135 +#102 := (or #99 #32) +#637 := (forall (vars (?v0 Int)) (:pat #636) #102) +#105 := (forall (vars (?v0 Int)) #102) +#640 := (iff #105 #637) +#638 := (iff #102 #102) +#639 := [refl]: #638 +#641 := [quant-intro #639]: #640 +#142 := (~ #105 #105) +#141 := (~ #102 #102) +#138 := [refl]: #141 +#143 := [nnf-pos #138]: #142 +#29 := (<= 0::Int #28) #33 := (implies #29 #32) #34 := (forall (vars (?v0 Int)) #33) -#85 := (iff #34 #84) -#81 := (iff #33 #80) -#82 := [rewrite]: #81 -#77 := (iff #33 #33) -#78 := [monotonicity #76]: #77 -#83 := [trans #78 #82]: #81 -#86 := [quant-intro #83]: #85 -#42 := [asserted]: #34 -#87 := [mp #42 #86]: #84 -#137 := [mp #87 #136]: #134 -#146 := [mp~ #137 #145]: #134 -#586 := [mp #146 #585]: #581 -#552 := (not #581) -#553 := (or #552 #563 #548) -#566 := (= #571 #47) -#235 := (>= #47 0::Int) -#568 := (not #235) -#572 := (or #568 #566) -#554 := (or #552 #572) -#198 := (iff #554 #553) -#555 := (or #552 #213) -#558 := (iff #555 #553) -#197 := [rewrite]: #558 -#192 := (iff #554 #555) -#550 := (iff #572 #213) -#206 := (iff #566 #548) -#212 := [rewrite]: #206 -#222 := (iff #568 #563) -#221 := (iff #235 #562) -#226 := [rewrite]: #221 -#564 := [monotonicity #226]: #222 -#551 := [monotonicity #564 #212]: #550 -#556 := [monotonicity #551]: #192 -#559 := [trans #556 #197]: #198 -#549 := [quant-inst #47]: #554 -#557 := [mp #549 #559]: #553 -#393 := [unit-resolution #557 #586]: #213 -#327 := [unit-resolution #393 #339]: #548 -#359 := (not #548) -#390 := (or #359 #560) -#392 := [th-lemma arith triangle-eq]: #390 -#330 := [unit-resolution #392 #327]: #560 -#546 := (>= #211 -1::Int) -#401 := (or #359 #546) -#403 := [th-lemma arith triangle-eq]: #401 -#332 := [unit-resolution #403 #327]: #546 -#329 := [th-lemma arith eq-propagate -1 -1 #332 #330]: #333 -#324 := (= #53 #47) -#334 := [hypothesis]: #342 -#314 := [symm #334]: #324 -#317 := [trans #314 #329]: #316 -#321 := [monotonicity #317]: #320 -#319 := [symm #321]: #326 -#325 := (= #50 #388) -#368 := (= #388 #50) -#370 := (or #354 #368) -#340 := [quant-inst #50]: #370 -#337 := [unit-resolution #340 #579]: #368 -#318 := [symm #337]: #325 -#322 := [trans #318 #319]: #59 -#68 := (not #59) +#108 := (iff #34 #105) +#89 := (not #29) +#90 := (or #89 #32) +#93 := (forall (vars (?v0 Int)) #90) +#106 := (iff #93 #105) +#103 := (iff #90 #102) +#100 := (iff #89 #99) +#96 := (iff #29 #98) +#97 := [rewrite]: #96 +#101 := [monotonicity #97]: #100 +#104 := [monotonicity #101]: #103 +#107 := [quant-intro #104]: #106 +#94 := (iff #34 #93) +#91 := (iff #33 #90) +#92 := [rewrite]: #91 +#95 := [quant-intro #92]: #94 +#109 := [trans #95 #107]: #108 +#87 := [asserted]: #34 +#110 := [mp #87 #109]: #105 +#139 := [mp~ #110 #143]: #105 +#642 := [mp #139 #641]: #637 +#608 := (not #637) +#609 := (or #608 #619 #604) +#622 := (= #627 #59) +#291 := (>= #59 0::Int) +#624 := (not #291) +#628 := (or #624 #622) +#610 := (or #608 #628) +#254 := (iff #610 #609) +#611 := (or #608 #269) +#614 := (iff #611 #609) +#253 := [rewrite]: #614 +#248 := (iff #610 #611) +#606 := (iff #628 #269) +#262 := (iff #622 #604) +#268 := [rewrite]: #262 +#278 := (iff #624 #619) +#277 := (iff #291 #618) +#282 := [rewrite]: #277 +#620 := [monotonicity #282]: #278 +#607 := [monotonicity #620 #268]: #606 +#612 := [monotonicity #607]: #248 +#615 := [trans #612 #253]: #254 +#605 := [quant-inst #59]: #610 +#613 := [mp #605 #615]: #609 +#449 := [unit-resolution #613 #642]: #269 +#383 := [unit-resolution #449 #395]: #604 +#415 := (not #604) +#446 := (or #415 #616) +#448 := [th-lemma arith triangle-eq]: #446 +#386 := [unit-resolution #448 #383]: #616 +#602 := (>= #267 -1::Int) +#457 := (or #415 #602) +#459 := [th-lemma arith triangle-eq]: #457 +#388 := [unit-resolution #459 #383]: #602 +#385 := [th-lemma arith eq-propagate -1 -1 #388 #386]: #389 +#380 := (= #65 #59) +#390 := [hypothesis]: #398 +#370 := [symm #390]: #380 +#373 := [trans #370 #385]: #372 +#377 := [monotonicity #373]: #376 +#375 := [symm #377]: #382 +#381 := (= #62 #444) +#424 := (= #444 #62) +#426 := (or #410 #424) +#396 := [quant-inst #62]: #426 +#393 := [unit-resolution #396 #635]: #424 +#374 := [symm #393]: #381 +#378 := [trans #374 #375]: #71 +#80 := (not #71) #19 := (= f7 f8) -#567 := (f3 f4 #15) -#223 := (= #567 f8) -#569 := (or #354 #223) -#570 := [quant-inst #14]: #569 -#458 := [unit-resolution #570 #579]: #223 -#378 := (= f7 #567) -#372 := (= #229 #567) -#405 := (= #10 #15) -#251 := (f5 f6 #56) -#532 := (* -1::Int #251) -#527 := (+ #15 #532) -#355 := (<= #527 -1::Int) -#531 := (= #527 -1::Int) -#535 := (>= #15 -1::Int) -#412 := (>= #15 0::Int) -#488 := (= #15 0::Int) -#413 := (f5 f6 #567) -#489 := (= #413 0::Int) -#492 := (not #412) -#493 := [hypothesis]: #492 -#486 := (or #412 #489) -#499 := (or #272 #412 #489) -#500 := (or #272 #486) -#501 := (iff #500 #499) -#490 := [rewrite]: #501 -#496 := [quant-inst #15]: #500 -#491 := [mp #496 #490]: #499 -#477 := [unit-resolution #491 #592]: #486 -#457 := [unit-resolution #477 #493]: #489 -#462 := (= #15 #413) -#460 := (= f8 #567) -#461 := [symm #458]: #460 -#463 := [monotonicity #461]: #462 -#464 := [trans #463 #457]: #488 -#465 := (not #488) -#466 := (or #465 #412) -#467 := [th-lemma arith triangle-eq]: #466 -#468 := [unit-resolution #467 #493 #464]: false -#469 := [lemma #468]: #412 -#455 := (or #492 #535) -#450 := [th-lemma arith farkas 1 1]: #455 -#456 := [unit-resolution #450 #469]: #535 -#529 := (not #535) -#374 := (or #529 #531) -#518 := (or #552 #529 #531) -#534 := (= #251 #53) -#536 := (>= #53 0::Int) -#537 := (not #536) -#538 := (or #537 #534) -#519 := (or #552 #538) -#517 := (iff #519 #518) -#521 := (or #552 #374) -#522 := (iff #521 #518) -#523 := [rewrite]: #522 -#515 := (iff #519 #521) -#375 := (iff #538 #374) -#526 := (iff #534 #531) -#533 := [rewrite]: #526 -#530 := (iff #537 #529) -#539 := (iff #536 #535) -#528 := [rewrite]: #539 -#525 := [monotonicity #528]: #530 -#376 := [monotonicity #525 #533]: #375 -#516 := [monotonicity #376]: #515 -#524 := [trans #516 #523]: #517 -#520 := [quant-inst #53]: #519 -#353 := [mp #520 #524]: #518 -#480 := [unit-resolution #353 #586]: #374 -#442 := [unit-resolution #480 #456]: #531 -#471 := (not #531) -#472 := (or #471 #355) -#474 := [th-lemma arith triangle-eq]: #472 -#438 := [unit-resolution #474 #442]: #355 -#356 := (>= #527 -1::Int) -#439 := (or #471 #356) -#440 := [th-lemma arith triangle-eq]: #439 -#443 := [unit-resolution #440 #442]: #356 -#448 := (+ #251 #210) -#452 := (<= #448 0::Int) -#470 := (= #251 #571) -#445 := (= #571 #251) -#158 := (not #19) -#454 := [hypothesis]: #158 -#249 := (or #59 #19) -#69 := (iff #68 #19) +#623 := (f3 f4 #15) +#279 := (= #623 f8) +#625 := (or #410 #279) +#626 := [quant-inst #14]: #625 +#514 := [unit-resolution #626 #635]: #279 +#434 := (= f7 #623) +#428 := (= #285 #623) +#461 := (= #10 #15) +#307 := (f5 f6 #68) +#588 := (* -1::Int #307) +#583 := (+ #15 #588) +#411 := (<= #583 -1::Int) +#587 := (= #583 -1::Int) +#591 := (>= #15 -1::Int) +#468 := (>= #15 0::Int) +#544 := (= #15 0::Int) +#469 := (f5 f6 #623) +#545 := (= #469 0::Int) +#548 := (not #468) +#549 := [hypothesis]: #548 +#542 := (or #468 #545) +#555 := (or #328 #468 #545) +#556 := (or #328 #542) +#557 := (iff #556 #555) +#546 := [rewrite]: #557 +#552 := [quant-inst #15]: #556 +#547 := [mp #552 #546]: #555 +#533 := [unit-resolution #547 #648]: #542 +#513 := [unit-resolution #533 #549]: #545 +#518 := (= #15 #469) +#516 := (= f8 #623) +#517 := [symm #514]: #516 +#519 := [monotonicity #517]: #518 +#520 := [trans #519 #513]: #544 +#521 := (not #544) +#522 := (or #521 #468) +#523 := [th-lemma arith triangle-eq]: #522 +#524 := [unit-resolution #523 #549 #520]: false +#525 := [lemma #524]: #468 +#511 := (or #548 #591) +#506 := [th-lemma arith farkas 1 1]: #511 +#512 := [unit-resolution #506 #525]: #591 +#585 := (not #591) +#430 := (or #585 #587) +#574 := (or #608 #585 #587) +#590 := (= #307 #65) +#592 := (>= #65 0::Int) +#593 := (not #592) +#594 := (or #593 #590) +#575 := (or #608 #594) +#573 := (iff #575 #574) +#577 := (or #608 #430) +#578 := (iff #577 #574) +#579 := [rewrite]: #578 +#571 := (iff #575 #577) +#431 := (iff #594 #430) +#582 := (iff #590 #587) +#589 := [rewrite]: #582 +#586 := (iff #593 #585) +#595 := (iff #592 #591) +#584 := [rewrite]: #595 +#581 := [monotonicity #584]: #586 +#432 := [monotonicity #581 #589]: #431 +#572 := [monotonicity #432]: #571 +#580 := [trans #572 #579]: #573 +#576 := [quant-inst #65]: #575 +#409 := [mp #576 #580]: #574 +#536 := [unit-resolution #409 #642]: #430 +#498 := [unit-resolution #536 #512]: #587 +#527 := (not #587) +#528 := (or #527 #411) +#530 := [th-lemma arith triangle-eq]: #528 +#494 := [unit-resolution #530 #498]: #411 +#412 := (>= #583 -1::Int) +#495 := (or #527 #412) +#496 := [th-lemma arith triangle-eq]: #495 +#499 := [unit-resolution #496 #498]: #412 +#504 := (+ #307 #266) +#508 := (<= #504 0::Int) +#526 := (= #307 #627) +#501 := (= #627 #307) +#214 := (not #19) +#510 := [hypothesis]: #214 +#305 := (or #71 #19) +#81 := (iff #80 #19) #16 := (+ #15 1::Int) #17 := (f3 f4 #16) #12 := (+ #10 1::Int) @@ -10351,128 +9418,128 @@ #18 := (= #13 #17) #20 := (iff #18 #19) #21 := (not #20) -#72 := (iff #21 #69) -#62 := (iff #59 #19) -#65 := (not #62) -#70 := (iff #65 #69) -#71 := [rewrite]: #70 -#66 := (iff #21 #65) -#63 := (iff #20 #62) -#60 := (iff #18 #59) -#57 := (= #17 #56) -#54 := (= #16 #53) -#55 := [rewrite]: #54 -#58 := [monotonicity #55]: #57 -#51 := (= #13 #50) -#48 := (= #12 #47) -#49 := [rewrite]: #48 -#52 := [monotonicity #49]: #51 -#61 := [monotonicity #52 #58]: #60 +#84 := (iff #21 #81) +#74 := (iff #71 #19) +#77 := (not #74) +#82 := (iff #77 #81) +#83 := [rewrite]: #82 +#78 := (iff #21 #77) +#75 := (iff #20 #74) +#72 := (iff #18 #71) +#69 := (= #17 #68) +#66 := (= #16 #65) +#67 := [rewrite]: #66 +#70 := [monotonicity #67]: #69 +#63 := (= #13 #62) +#60 := (= #12 #59) +#61 := [rewrite]: #60 #64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#73 := [trans #67 #71]: #72 -#40 := [asserted]: #21 -#74 := [mp #40 #73]: #69 -#243 := (not #69) -#247 := (or #59 #19 #243) -#248 := [def-axiom]: #247 -#246 := [unit-resolution #248 #74]: #249 -#444 := [unit-resolution #246 #454]: #59 -#446 := [monotonicity #444]: #445 -#441 := [symm #446]: #470 -#447 := (not #470) -#420 := (or #447 #452) -#421 := [th-lemma arith triangle-eq]: #420 -#422 := [unit-resolution #421 #441]: #452 -#453 := (>= #448 0::Int) -#315 := (or #447 #453) -#426 := [th-lemma arith triangle-eq]: #315 -#427 := [unit-resolution #426 #441]: #453 -#547 := (= #571 0::Int) -#418 := (not #547) -#509 := (= #251 0::Int) -#478 := (not #509) -#399 := (iff #478 #418) -#417 := (iff #509 #547) -#432 := (iff #547 #509) -#437 := [monotonicity #446]: #432 -#363 := [symm #437]: #417 -#423 := [monotonicity #363]: #399 -#406 := (<= #251 0::Int) -#428 := (not #406) -#433 := (not #355) -#429 := (or #428 #492 #433) -#430 := [th-lemma arith assign-bounds -1 1]: #429 -#431 := [unit-resolution #430 #438 #469]: #428 -#434 := (or #478 #406) -#435 := [th-lemma arith triangle-eq]: #434 -#436 := [unit-resolution #435 #431]: #478 -#424 := [mp #436 #423]: #418 -#269 := (or #562 #547) -#165 := (or #272 #562 #547) -#254 := (or #235 #547) -#542 := (or #272 #254) -#545 := (iff #542 #165) -#265 := (or #272 #269) -#544 := (iff #265 #165) -#541 := [rewrite]: #544 -#266 := (iff #542 #265) -#270 := (iff #254 #269) -#271 := [monotonicity #226]: #270 -#540 := [monotonicity #271]: #266 -#255 := [trans #540 #541]: #545 -#543 := [quant-inst #47]: #542 -#256 := [mp #543 #255]: #165 -#419 := [unit-resolution #256 #592]: #269 -#425 := [unit-resolution #419 #424]: #562 -#400 := [unit-resolution #393 #425]: #548 -#394 := [unit-resolution #392 #400]: #560 -#404 := [unit-resolution #403 #400]: #546 -#415 := [th-lemma arith eq-propagate -1 -1 1 1 1 1 #404 #394 #427 #422 #443 #438]: #405 -#377 := [monotonicity #415]: #372 -#379 := [trans #371 #377]: #378 -#380 := [trans #379 #458]: #19 -#381 := [unit-resolution #454 #380]: false -#382 := [lemma #381]: #19 -#245 := (or #68 #158) -#159 := (or #68 #158 #243) -#244 := [def-axiom]: #159 -#236 := [unit-resolution #244 #74]: #245 -#335 := [unit-resolution #236 #382]: #68 -#323 := [unit-resolution #335 #322]: false -#311 := [lemma #323]: #309 -#343 := (* -1::Int #53) -#349 := (+ #47 #343) -#328 := (<= #349 0::Int) -#383 := (* -1::Int #15) -#384 := (+ #10 #383) -#385 := (<= #384 0::Int) -#312 := [monotonicity #382]: #405 -#310 := (not #405) -#313 := (or #310 #385) -#295 := [th-lemma arith triangle-eq]: #313 -#297 := [unit-resolution #295 #312]: #385 -#298 := (not #385) -#299 := (or #328 #298) -#300 := [th-lemma arith assign-bounds -1]: #299 -#301 := [unit-resolution #300 #297]: #328 -#331 := (>= #349 0::Int) -#386 := (>= #384 0::Int) -#302 := (or #310 #386) -#303 := [th-lemma arith triangle-eq]: #302 -#304 := [unit-resolution #303 #312]: #386 -#305 := (not #386) -#306 := (or #331 #305) -#307 := [th-lemma arith assign-bounds -1]: #306 -#296 := [unit-resolution #307 #304]: #331 -#285 := (not #331) -#308 := (not #328) -#287 := (or #342 #308 #285) -#288 := [th-lemma arith triangle-eq]: #287 -#289 := [unit-resolution #288 #296 #301]: #342 -[unit-resolution #289 #311]: false -cca0c63f74b94d280921e8468e9a688b21297a96 67 0 -unsat +#73 := [monotonicity #64 #70]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76]: #78 +#85 := [trans #79 #83]: #84 +#58 := [asserted]: #21 +#88 := [mp #58 #85]: #81 +#299 := (not #81) +#303 := (or #71 #19 #299) +#304 := [def-axiom]: #303 +#302 := [unit-resolution #304 #88]: #305 +#500 := [unit-resolution #302 #510]: #71 +#502 := [monotonicity #500]: #501 +#497 := [symm #502]: #526 +#503 := (not #526) +#476 := (or #503 #508) +#477 := [th-lemma arith triangle-eq]: #476 +#478 := [unit-resolution #477 #497]: #508 +#509 := (>= #504 0::Int) +#371 := (or #503 #509) +#482 := [th-lemma arith triangle-eq]: #371 +#483 := [unit-resolution #482 #497]: #509 +#603 := (= #627 0::Int) +#474 := (not #603) +#565 := (= #307 0::Int) +#534 := (not #565) +#455 := (iff #534 #474) +#473 := (iff #565 #603) +#488 := (iff #603 #565) +#493 := [monotonicity #502]: #488 +#419 := [symm #493]: #473 +#479 := [monotonicity #419]: #455 +#462 := (<= #307 0::Int) +#484 := (not #462) +#489 := (not #411) +#485 := (or #484 #548 #489) +#486 := [th-lemma arith assign-bounds -1 1]: #485 +#487 := [unit-resolution #486 #494 #525]: #484 +#490 := (or #534 #462) +#491 := [th-lemma arith triangle-eq]: #490 +#492 := [unit-resolution #491 #487]: #534 +#480 := [mp #492 #479]: #474 +#325 := (or #618 #603) +#221 := (or #328 #618 #603) +#310 := (or #291 #603) +#598 := (or #328 #310) +#601 := (iff #598 #221) +#321 := (or #328 #325) +#600 := (iff #321 #221) +#597 := [rewrite]: #600 +#322 := (iff #598 #321) +#326 := (iff #310 #325) +#327 := [monotonicity #282]: #326 +#596 := [monotonicity #327]: #322 +#311 := [trans #596 #597]: #601 +#599 := [quant-inst #59]: #598 +#312 := [mp #599 #311]: #221 +#475 := [unit-resolution #312 #648]: #325 +#481 := [unit-resolution #475 #480]: #618 +#456 := [unit-resolution #449 #481]: #604 +#450 := [unit-resolution #448 #456]: #616 +#460 := [unit-resolution #459 #456]: #602 +#471 := [th-lemma arith eq-propagate -1 -1 1 1 1 1 #460 #450 #483 #478 #499 #494]: #461 +#433 := [monotonicity #471]: #428 +#435 := [trans #427 #433]: #434 +#436 := [trans #435 #514]: #19 +#437 := [unit-resolution #510 #436]: false +#438 := [lemma #437]: #19 +#301 := (or #80 #214) +#215 := (or #80 #214 #299) +#300 := [def-axiom]: #215 +#292 := [unit-resolution #300 #88]: #301 +#391 := [unit-resolution #292 #438]: #80 +#379 := [unit-resolution #391 #378]: false +#367 := [lemma #379]: #365 +#399 := (* -1::Int #65) +#405 := (+ #59 #399) +#384 := (<= #405 0::Int) +#439 := (* -1::Int #15) +#440 := (+ #10 #439) +#441 := (<= #440 0::Int) +#368 := [monotonicity #438]: #461 +#366 := (not #461) +#369 := (or #366 #441) +#351 := [th-lemma arith triangle-eq]: #369 +#353 := [unit-resolution #351 #368]: #441 +#354 := (not #441) +#355 := (or #384 #354) +#356 := [th-lemma arith assign-bounds -1]: #355 +#357 := [unit-resolution #356 #353]: #384 +#387 := (>= #405 0::Int) +#442 := (>= #440 0::Int) +#358 := (or #366 #442) +#359 := [th-lemma arith triangle-eq]: #358 +#360 := [unit-resolution #359 #368]: #442 +#361 := (not #442) +#362 := (or #387 #361) +#363 := [th-lemma arith assign-bounds -1]: #362 +#352 := [unit-resolution #363 #360]: #387 +#341 := (not #387) +#364 := (not #384) +#343 := (or #398 #364 #341) +#344 := [th-lemma arith triangle-eq]: #343 +#345 := [unit-resolution #344 #352 #357]: #398 +[unit-resolution #345 #367]: false +unsat +acd75482eb0fadad2769b1851e88fa0d92a18b2f 57 0 #2 := false #13 := 1::Int decl f3 :: (-> S2 S3 Int) @@ -10491,160 +9558,150 @@ #14 := (+ #12 1::Int) #18 := (< #14 #17) #19 := (not #18) -#89 := (iff #19 false) -#1 := true -#84 := (not true) -#87 := (iff #84 false) +#91 := (iff #19 false) +#70 := 2::Int +#71 := (+ 2::Int #12) +#58 := (+ 1::Int #12) +#76 := (< #58 #71) +#79 := (not #76) +#89 := (iff #79 false) +#1 := true +#83 := (not true) +#87 := (iff #83 false) #88 := [rewrite]: #87 -#85 := (iff #19 #84) -#82 := (iff #18 true) -#46 := (+ 1::Int #9 #11) -#58 := 2::Int -#59 := (+ 2::Int #9 #11) -#67 := (<= #59 #46) -#68 := (not #67) -#80 := (iff #68 true) -#75 := (not false) -#78 := (iff #75 true) -#79 := [rewrite]: #78 -#76 := (iff #68 #75) -#73 := (iff #67 false) -#74 := [rewrite]: #73 -#77 := [monotonicity #74]: #76 -#81 := [trans #77 #79]: #80 -#71 := (iff #18 #68) -#64 := (< #46 #59) -#69 := (iff #64 #68) -#70 := [rewrite]: #69 -#65 := (iff #18 #64) -#62 := (= #17 #59) -#52 := (+ 1::Int #11) -#49 := (+ 1::Int #9) -#55 := (+ #49 #52) -#60 := (= #55 #59) -#61 := [rewrite]: #60 -#56 := (= #17 #55) -#53 := (= #16 #52) -#54 := [rewrite]: #53 -#50 := (= #15 #49) -#51 := [rewrite]: #50 -#57 := [monotonicity #51 #54]: #56 -#63 := [trans #57 #61]: #62 -#47 := (= #14 #46) -#48 := [rewrite]: #47 -#66 := [monotonicity #48 #63]: #65 -#72 := [trans #66 #70]: #71 -#83 := [trans #72 #81]: #82 -#86 := [monotonicity #83]: #85 +#85 := (iff #79 #83) +#82 := (iff #76 true) +#84 := [rewrite]: #82 +#86 := [monotonicity #84]: #85 #90 := [trans #86 #88]: #89 -#39 := [asserted]: #19 -[mp #39 #90]: false -4be683229ab203b6ad6e1365fb0baa3afc13e7f9 51 0 -unsat +#80 := (iff #19 #79) +#77 := (iff #18 #76) +#74 := (= #17 #71) +#64 := (+ 1::Int #11) +#61 := (+ 1::Int #9) +#67 := (+ #61 #64) +#72 := (= #67 #71) +#73 := [rewrite]: #72 +#68 := (= #17 #67) +#65 := (= #16 #64) +#66 := [rewrite]: #65 +#62 := (= #15 #61) +#63 := [rewrite]: #62 +#69 := [monotonicity #63 #66]: #68 +#75 := [trans #69 #73]: #74 +#59 := (= #14 #58) +#60 := [rewrite]: #59 +#78 := [monotonicity #60 #75]: #77 +#81 := [monotonicity #78]: #80 +#92 := [trans #81 #90]: #91 +#57 := [asserted]: #19 +[mp #57 #92]: false +unsat +cafcbe1d613718219fa1714ac3be1c8043d2d395 51 0 #2 := false decl f5 :: (-> S4 S3 Int) #16 := (:var 0 S3) decl f6 :: S4 #8 := f6 #17 := (f5 f6 #16) -#551 := (pattern #17) +#607 := (pattern #17) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #18 := (f3 f4 #17) #19 := (= #18 #16) -#552 := (forall (vars (?v0 S3)) (:pat #551) #19) +#608 := (forall (vars (?v0 S3)) (:pat #607) #19) #20 := (forall (vars (?v0 S3)) #19) -#555 := (iff #20 #552) -#553 := (iff #19 #19) -#554 := [refl]: #553 -#556 := [quant-intro #554]: #555 -#124 := (~ #20 #20) -#128 := (~ #19 #19) -#129 := [refl]: #128 -#125 := [nnf-pos #129]: #124 -#34 := [asserted]: #20 -#126 := [mp~ #34 #125]: #20 -#557 := [mp #126 #556]: #552 +#611 := (iff #20 #608) +#609 := (iff #19 #19) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#127 := (~ #20 #20) +#125 := (~ #19 #19) +#126 := [refl]: #125 +#128 := [nnf-pos #126]: #127 +#63 := [asserted]: #20 +#117 := [mp~ #63 #128]: #20 +#613 := [mp #117 #612]: #608 decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#42 := (f3 f4 #10) -#45 := (= #42 f7) -#48 := (not #45) +#54 := (f3 f4 #10) +#57 := (= #54 f7) +#60 := (not #57) #11 := 0::Int #12 := (+ #10 0::Int) #13 := (f3 f4 #12) #14 := (= #13 f7) #15 := (not #14) -#49 := (iff #15 #48) -#46 := (iff #14 #45) -#43 := (= #13 #42) -#40 := (= #12 #10) -#41 := [rewrite]: #40 -#44 := [monotonicity #41]: #43 -#47 := [monotonicity #44]: #46 -#50 := [monotonicity #47]: #49 -#33 := [asserted]: #15 -#51 := [mp #33 #50]: #48 -#222 := (not #552) -#223 := (or #222 #45) -#214 := [quant-inst #9]: #223 -[unit-resolution #214 #51 #557]: false -36b449ec06f74f034486ed7a3a374426eb6148a7 51 0 -unsat +#61 := (iff #15 #60) +#58 := (iff #14 #57) +#55 := (= #13 #54) +#52 := (= #12 #10) +#53 := [rewrite]: #52 +#56 := [monotonicity #53]: #55 +#59 := [monotonicity #56]: #58 +#62 := [monotonicity #59]: #61 +#51 := [asserted]: #15 +#65 := [mp #51 #62]: #60 +#278 := (not #608) +#279 := (or #278 #57) +#270 := [quant-inst #9]: #279 +[unit-resolution #270 #65 #613]: false +unsat +1dfcd4e08e6f8d1a1620a5d9deeafd855aa26e59 51 0 #2 := false decl f5 :: (-> S4 S3 Int) #16 := (:var 0 S3) decl f6 :: S4 #9 := f6 #17 := (f5 f6 #16) -#551 := (pattern #17) +#607 := (pattern #17) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #18 := (f3 f4 #17) #19 := (= #18 #16) -#552 := (forall (vars (?v0 S3)) (:pat #551) #19) +#608 := (forall (vars (?v0 S3)) (:pat #607) #19) #20 := (forall (vars (?v0 S3)) #19) -#555 := (iff #20 #552) -#553 := (iff #19 #19) -#554 := [refl]: #553 -#556 := [quant-intro #554]: #555 -#124 := (~ #20 #20) -#128 := (~ #19 #19) -#129 := [refl]: #128 -#125 := [nnf-pos #129]: #124 -#34 := [asserted]: #20 -#126 := [mp~ #34 #125]: #20 -#557 := [mp #126 #556]: #552 +#611 := (iff #20 #608) +#609 := (iff #19 #19) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#127 := (~ #20 #20) +#125 := (~ #19 #19) +#126 := [refl]: #125 +#128 := [nnf-pos #126]: #127 +#63 := [asserted]: #20 +#117 := [mp~ #63 #128]: #20 +#613 := [mp #117 #612]: #608 decl f7 :: S3 #10 := f7 #11 := (f5 f6 f7) -#42 := (f3 f4 #11) -#45 := (= #42 f7) -#48 := (not #45) +#54 := (f3 f4 #11) +#57 := (= #54 f7) +#60 := (not #57) #8 := 0::Int #12 := (+ 0::Int #11) #13 := (f3 f4 #12) #14 := (= #13 f7) #15 := (not #14) -#49 := (iff #15 #48) -#46 := (iff #14 #45) -#43 := (= #13 #42) -#40 := (= #12 #11) -#41 := [rewrite]: #40 -#44 := [monotonicity #41]: #43 -#47 := [monotonicity #44]: #46 -#50 := [monotonicity #47]: #49 -#33 := [asserted]: #15 -#51 := [mp #33 #50]: #48 -#222 := (not #552) -#223 := (or #222 #45) -#214 := [quant-inst #10]: #223 -[unit-resolution #214 #51 #557]: false -6876f4e575b0c8bc3fe85299f4bf8864b5f3e6ce 41 0 -unsat +#61 := (iff #15 #60) +#58 := (iff #14 #57) +#55 := (= #13 #54) +#52 := (= #12 #11) +#53 := [rewrite]: #52 +#56 := [monotonicity #53]: #55 +#59 := [monotonicity #56]: #58 +#62 := [monotonicity #59]: #61 +#51 := [asserted]: #15 +#65 := [mp #51 #62]: #60 +#278 := (not #608) +#279 := (or #278 #57) +#270 := [quant-inst #10]: #279 +[unit-resolution #270 #65 #613]: false +unsat +807ee369d1a6496ab946d19ae1b2533180edb6b7 41 0 #2 := false decl f3 :: (-> S2 Int S3) decl f5 :: (-> S4 S3 Int) @@ -10664,29 +9721,29 @@ #14 := (f3 f4 #13) #17 := (= #14 #16) #18 := (not #17) -#108 := (iff #18 false) -#1 := true -#103 := (not true) -#106 := (iff #103 false) -#107 := [rewrite]: #106 -#104 := (iff #18 #103) -#101 := (iff #17 true) -#96 := (= #14 #14) -#99 := (iff #96 true) -#100 := [rewrite]: #99 -#97 := (iff #17 #96) -#94 := (= #16 #14) -#92 := (= #15 #13) -#93 := [rewrite]: #92 -#95 := [monotonicity #93]: #94 -#98 := [monotonicity #95]: #97 -#102 := [trans #98 #100]: #101 -#105 := [monotonicity #102]: #104 -#109 := [trans #105 #107]: #108 -#37 := [asserted]: #18 -[mp #37 #109]: false -b54b0a8e9089b1fc3a30b6ccbd0b1a995d0b98ef 52 0 -unsat +#72 := (iff #18 false) +#1 := true +#67 := (not true) +#70 := (iff #67 false) +#71 := [rewrite]: #70 +#68 := (iff #18 #67) +#65 := (iff #17 true) +#60 := (= #14 #14) +#63 := (iff #60 true) +#64 := [rewrite]: #63 +#61 := (iff #17 #60) +#58 := (= #16 #14) +#56 := (= #15 #13) +#57 := [rewrite]: #56 +#59 := [monotonicity #57]: #58 +#62 := [monotonicity #59]: #61 +#66 := [trans #62 #64]: #65 +#69 := [monotonicity #66]: #68 +#73 := [trans #69 #71]: #72 +#55 := [asserted]: #18 +[mp #55 #73]: false +unsat +69a5d92a496670834736208baa7873f48a8b26ef 46 0 #2 := false decl f3 :: (-> S2 Int S3) decl f5 :: (-> S4 S3 Int) @@ -10711,35 +9768,29 @@ #17 := (f3 f4 #16) #21 := (= #17 #20) #22 := (not #21) -#70 := (iff #22 false) -#1 := true -#65 := (not true) -#68 := (iff #65 false) -#69 := [rewrite]: #68 -#66 := (iff #22 #65) -#63 := (iff #21 true) -#48 := (+ #10 #12 #14) -#51 := (f3 f4 #48) -#58 := (= #51 #51) -#61 := (iff #58 true) -#62 := [rewrite]: #61 -#59 := (iff #21 #58) -#56 := (= #20 #51) -#54 := (= #19 #48) -#55 := [rewrite]: #54 -#57 := [monotonicity #55]: #56 -#52 := (= #17 #51) -#49 := (= #16 #48) -#50 := [rewrite]: #49 -#53 := [monotonicity #50]: #52 -#60 := [monotonicity #53 #57]: #59 -#64 := [trans #60 #62]: #63 -#67 := [monotonicity #64]: #66 -#71 := [trans #67 #69]: #70 -#41 := [asserted]: #22 -[mp #41 #71]: false -dc4471261a7af4fe9cbee9553569694766037bc0 408 0 -unsat +#76 := (iff #22 false) +#1 := true +#71 := (not true) +#74 := (iff #71 false) +#75 := [rewrite]: #74 +#72 := (iff #22 #71) +#69 := (iff #21 true) +#64 := (= #17 #17) +#67 := (iff #64 true) +#68 := [rewrite]: #67 +#65 := (iff #21 #64) +#62 := (= #20 #17) +#60 := (= #19 #16) +#61 := [rewrite]: #60 +#63 := [monotonicity #61]: #62 +#66 := [monotonicity #63]: #65 +#70 := [trans #66 #68]: #69 +#73 := [monotonicity #70]: #72 +#77 := [trans #73 #75]: #76 +#59 := [asserted]: #22 +[mp #59 #77]: false +unsat +79c07e1ad7272206c5e814c398f47e58d945d62c 406 0 #2 := false #15 := 0::Int decl f5 :: (-> S4 S3 Int) @@ -10748,473 +9799,457 @@ decl f6 :: S4 #8 := f6 #10 := (f5 f6 f7) -#385 := (= #10 0::Int) +#465 := (= #10 0::Int) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 -#554 := (f3 f4 #10) -#348 := (f5 f6 #554) -#349 := (= #348 0::Int) +#610 := (f3 f4 #10) +#405 := (f5 f6 #610) +#558 := (= #405 0::Int) decl f8 :: S3 #11 := f8 #12 := (f5 f6 f8) -#228 := (f3 f4 #12) -#505 := (f5 f6 #228) -#350 := (= #505 0::Int) -#346 := (>= #10 0::Int) -#408 := (not #349) -#364 := [hypothesis]: #408 -#502 := (or #346 #349) +#284 := (f3 f4 #12) +#562 := (f5 f6 #284) +#554 := (= #562 0::Int) +#404 := (>= #10 0::Int) +#429 := (not #558) +#432 := [hypothesis]: #429 +#559 := (or #404 #558) #28 := (:var 0 Int) #30 := (f3 f4 #28) -#573 := (pattern #30) +#629 := (pattern #30) #31 := (f5 f6 #30) #36 := (= #31 0::Int) -#104 := (>= #28 0::Int) -#115 := (or #104 #36) -#580 := (forall (vars (?v0 Int)) (:pat #573) #115) -#118 := (forall (vars (?v0 Int)) #115) -#583 := (iff #118 #580) -#581 := (iff #115 #115) -#582 := [refl]: #581 -#584 := [quant-intro #582]: #583 -#132 := (~ #118 #118) -#130 := (~ #115 #115) -#131 := [refl]: #130 -#133 := [nnf-pos #131]: #132 -#29 := (<= 0::Int #28) -#73 := (or #29 #36) -#78 := (forall (vars (?v0 Int)) #73) -#119 := (iff #78 #118) -#116 := (iff #73 #115) -#102 := (iff #29 #104) -#103 := [rewrite]: #102 -#117 := [monotonicity #103]: #116 -#120 := [quant-intro #117]: #119 +#75 := (>= #28 0::Int) +#105 := (or #75 #36) +#636 := (forall (vars (?v0 Int)) (:pat #629) #105) +#108 := (forall (vars (?v0 Int)) #105) +#639 := (iff #108 #636) +#637 := (iff #105 #105) +#638 := [refl]: #637 +#640 := [quant-intro #638]: #639 +#121 := (~ #108 #108) +#129 := (~ #105 #105) +#130 := [refl]: #129 +#122 := [nnf-pos #130]: #121 #35 := (< #28 0::Int) #37 := (implies #35 #36) #38 := (forall (vars (?v0 Int)) #37) -#79 := (iff #38 #78) -#76 := (iff #37 #73) -#56 := (not #29) -#70 := (implies #56 #36) -#74 := (iff #70 #73) -#75 := [rewrite]: #74 -#71 := (iff #37 #70) -#65 := (iff #35 #56) -#67 := (iff #56 #56) -#52 := (iff #29 #29) -#53 := [rewrite]: #52 -#68 := [monotonicity #53]: #67 -#66 := [rewrite]: #65 -#69 := [trans #66 #68]: #65 -#72 := [monotonicity #69]: #71 -#77 := [trans #72 #75]: #76 -#80 := [quant-intro #77]: #79 -#43 := [asserted]: #38 -#81 := [mp #43 #80]: #78 -#121 := [mp #81 #120]: #118 -#134 := [mp~ #121 #133]: #118 -#585 := [mp #134 #584]: #580 -#263 := (not #580) -#506 := (or #263 #346 #349) -#504 := (or #263 #502) -#389 := (iff #504 #506) -#390 := [rewrite]: #389 -#507 := [quant-inst #10]: #504 -#391 := [mp #507 #390]: #506 -#365 := [unit-resolution #391 #585]: #502 -#370 := [unit-resolution #365 #364]: #346 -#448 := (not #346) -#392 := (or #448 #350) -#400 := (= #12 0::Int) +#111 := (iff #38 #108) +#89 := (not #35) +#90 := (or #89 #36) +#93 := (forall (vars (?v0 Int)) #90) +#109 := (iff #93 #108) +#106 := (iff #90 #105) +#103 := (iff #89 #75) +#76 := (not #75) +#98 := (not #76) +#101 := (iff #98 #75) +#102 := [rewrite]: #101 +#99 := (iff #89 #98) +#96 := (iff #35 #76) +#97 := [rewrite]: #96 +#100 := [monotonicity #97]: #99 +#104 := [trans #100 #102]: #103 +#107 := [monotonicity #104]: #106 +#110 := [quant-intro #107]: #109 +#94 := (iff #38 #93) +#91 := (iff #37 #90) +#92 := [rewrite]: #91 +#95 := [quant-intro #92]: #94 +#112 := [trans #95 #110]: #111 +#88 := [asserted]: #38 +#113 := [mp #88 #112]: #108 +#131 := [mp~ #113 #122]: #108 +#641 := [mp #131 #640]: #636 +#320 := (not #636) +#560 := (or #320 #404 #558) +#563 := (or #320 #559) +#446 := (iff #563 #560) +#447 := [rewrite]: #446 +#445 := [quant-inst #10]: #563 +#406 := [mp #445 #447]: #560 +#433 := [unit-resolution #406 #641]: #559 +#434 := [unit-resolution #433 #432]: #404 +#493 := (not #404) +#439 := (or #493 #554) +#551 := (= #12 0::Int) #13 := (+ #10 #12) #14 := (f3 f4 #13) -#219 := (f5 f6 #14) -#347 := -1::Int -#203 := (* -1::Int #219) -#204 := (+ #10 #12 #203) -#550 := (<= #204 0::Int) -#541 := (= #204 0::Int) -#559 := (>= #13 0::Int) -#503 := (>= #12 0::Int) -#453 := (not #350) -#435 := [hypothesis]: #453 -#498 := (or #503 #350) -#496 := (or #263 #503 #350) -#499 := (or #263 #498) -#399 := (iff #499 #496) -#401 := [rewrite]: #399 -#384 := [quant-inst #12]: #499 -#402 := [mp #384 #401]: #496 -#431 := [unit-resolution #402 #585]: #498 -#432 := [unit-resolution #431 #435]: #503 -#457 := [hypothesis]: #346 -#433 := (not #503) -#436 := (or #559 #448 #433) -#437 := [th-lemma arith assign-bounds -1 -1]: #436 -#438 := [unit-resolution #437 #457 #432]: #559 -#565 := (not #559) -#205 := (or #565 #541) +#275 := (f5 f6 #14) +#403 := -1::Int +#260 := (* -1::Int #275) +#261 := (+ #12 #260) +#262 := (+ #10 #261) +#609 := (<= #262 0::Int) +#597 := (= #262 0::Int) +#615 := (>= #13 0::Int) +#561 := (>= #12 0::Int) +#517 := (not #554) +#490 := [hypothesis]: #517 +#456 := (or #561 #554) +#555 := (or #320 #561 #554) +#440 := (or #320 #456) +#457 := (iff #440 #555) +#458 := [rewrite]: #457 +#455 := [quant-inst #12]: #440 +#451 := [mp #455 #458]: #555 +#496 := [unit-resolution #451 #641]: #456 +#469 := [unit-resolution #496 #490]: #561 +#497 := [hypothesis]: #404 +#470 := (not #561) +#471 := (or #615 #493 #470) +#364 := [th-lemma arith assign-bounds -1 -1]: #471 +#475 := [unit-resolution #364 #497 #469]: #615 +#621 := (not #615) +#259 := (or #621 #597) #32 := (= #31 #28) -#105 := (not #104) -#108 := (or #105 #32) -#574 := (forall (vars (?v0 Int)) (:pat #573) #108) -#111 := (forall (vars (?v0 Int)) #108) -#577 := (iff #111 #574) -#575 := (iff #108 #108) -#576 := [refl]: #575 -#578 := [quant-intro #576]: #577 -#123 := (~ #111 #111) -#125 := (~ #108 #108) -#122 := [refl]: #125 -#126 := [nnf-pos #122]: #123 -#57 := (or #56 #32) -#61 := (forall (vars (?v0 Int)) #57) -#112 := (iff #61 #111) -#109 := (iff #57 #108) -#106 := (iff #56 #105) -#107 := [monotonicity #103]: #106 -#110 := [monotonicity #107]: #109 -#113 := [quant-intro #110]: #112 +#79 := (or #76 #32) +#630 := (forall (vars (?v0 Int)) (:pat #629) #79) +#82 := (forall (vars (?v0 Int)) #79) +#633 := (iff #82 #630) +#631 := (iff #79 #79) +#632 := [refl]: #631 +#634 := [quant-intro #632]: #633 +#119 := (~ #82 #82) +#118 := (~ #79 #79) +#115 := [refl]: #118 +#120 := [nnf-pos #115]: #119 +#29 := (<= 0::Int #28) #33 := (implies #29 #32) #34 := (forall (vars (?v0 Int)) #33) -#62 := (iff #34 #61) -#58 := (iff #33 #57) -#59 := [rewrite]: #58 -#54 := (iff #33 #33) -#55 := [monotonicity #53]: #54 -#60 := [trans #55 #59]: #58 -#63 := [quant-intro #60]: #62 -#42 := [asserted]: #34 -#64 := [mp #42 #63]: #61 -#114 := [mp #64 #113]: #111 -#127 := [mp~ #114 #126]: #111 -#579 := [mp #127 #578]: #574 -#544 := (not #574) -#545 := (or #544 #565 #541) -#556 := (= #219 #13) -#215 := (or #565 #556) -#546 := (or #544 #215) -#190 := (iff #546 #545) -#542 := (or #544 #205) -#549 := (iff #542 #545) -#551 := [rewrite]: #549 -#548 := (iff #546 #542) -#206 := (iff #215 #205) -#199 := (iff #556 #541) -#557 := [rewrite]: #199 -#543 := [monotonicity #557]: #206 -#185 := [monotonicity #543]: #548 -#191 := [trans #185 #551]: #190 -#547 := [quant-inst #13]: #546 -#552 := [mp #547 #191]: #545 -#439 := [unit-resolution #552 #579]: #205 -#434 := [unit-resolution #439 #438]: #541 -#440 := (not #541) -#413 := (or #440 #550) -#414 := [th-lemma arith triangle-eq]: #413 -#415 := [unit-resolution #414 #434]: #550 -#553 := (>= #204 0::Int) -#259 := (<= #219 0::Int) -#539 := (= #219 0::Int) +#85 := (iff #34 #82) +#66 := (not #29) +#67 := (or #66 #32) +#70 := (forall (vars (?v0 Int)) #67) +#83 := (iff #70 #82) +#80 := (iff #67 #79) +#77 := (iff #66 #76) +#73 := (iff #29 #75) +#74 := [rewrite]: #73 +#78 := [monotonicity #74]: #77 +#81 := [monotonicity #78]: #80 +#84 := [quant-intro #81]: #83 +#71 := (iff #34 #70) +#68 := (iff #33 #67) +#69 := [rewrite]: #68 +#72 := [quant-intro #69]: #71 +#86 := [trans #72 #84]: #85 +#64 := [asserted]: #34 +#87 := [mp #64 #86]: #82 +#116 := [mp~ #87 #120]: #82 +#635 := [mp #116 #634]: #630 +#601 := (not #630) +#602 := (or #601 #621 #597) +#612 := (= #275 #13) +#271 := (or #621 #612) +#603 := (or #601 #271) +#247 := (iff #603 #602) +#604 := (or #601 #259) +#607 := (iff #604 #602) +#246 := [rewrite]: #607 +#241 := (iff #603 #604) +#599 := (iff #271 #259) +#255 := (iff #612 #597) +#613 := [rewrite]: #255 +#600 := [monotonicity #613]: #599 +#605 := [monotonicity #600]: #241 +#608 := [trans #605 #246]: #247 +#598 := [quant-inst #13]: #603 +#606 := [mp #598 #608]: #602 +#476 := [unit-resolution #606 #635]: #259 +#477 := [unit-resolution #476 #475]: #597 +#482 := (not #597) +#478 := (or #482 #609) +#479 := [th-lemma arith triangle-eq]: #478 +#480 := [unit-resolution #479 #477]: #609 +#595 := (>= #262 0::Int) +#589 := (<= #275 0::Int) +#596 := (= #275 0::Int) #16 := (f3 f4 0::Int) -#537 := (f5 f6 #16) -#534 := (= #537 0::Int) -#524 := (or #544 #534) -#247 := (>= 0::Int 0::Int) -#262 := (not #247) -#538 := (or #262 #534) -#525 := (or #544 #538) -#526 := (iff #525 #524) -#368 := (iff #524 #524) -#369 := [rewrite]: #368 -#518 := (iff #538 #534) -#528 := (or false #534) -#522 := (iff #528 #534) -#523 := [rewrite]: #522 -#532 := (iff #538 #528) -#527 := (iff #262 false) -#1 := true -#250 := (not true) -#530 := (iff #250 false) -#244 := [rewrite]: #530 -#251 := (iff #262 #250) -#248 := (iff #247 true) -#249 := [rewrite]: #248 -#529 := [monotonicity #249]: #251 -#531 := [trans #529 #244]: #527 -#521 := [monotonicity #531]: #532 -#519 := [trans #521 #523]: #518 -#367 := [monotonicity #519]: #526 -#511 := [trans #367 #369]: #526 -#520 := [quant-inst #15]: #525 -#512 := [mp #520 #511]: #524 -#497 := [unit-resolution #512 #579]: #534 -#462 := (= #219 #537) +#590 := (f5 f6 #16) +#594 := (= #590 0::Int) +#581 := (or #601 #594) +#318 := (>= 0::Int 0::Int) +#319 := (not #318) +#304 := (or #319 #594) +#576 := (or #601 #304) +#423 := (iff #576 #581) +#425 := (iff #581 #581) +#567 := [rewrite]: #425 +#575 := (iff #304 #594) +#588 := (or false #594) +#579 := (iff #588 #594) +#574 := [rewrite]: #579 +#577 := (iff #304 #588) +#587 := (iff #319 false) +#1 := true +#307 := (not true) +#300 := (iff #307 false) +#583 := [rewrite]: #300 +#585 := (iff #319 #307) +#305 := (iff #318 true) +#306 := [rewrite]: #305 +#586 := [monotonicity #306]: #585 +#584 := [trans #586 #583]: #587 +#578 := [monotonicity #584]: #577 +#580 := [trans #578 #574]: #575 +#424 := [monotonicity #580]: #423 +#568 := [trans #424 #567]: #423 +#582 := [quant-inst #15]: #576 +#569 := [mp #582 #568]: #581 +#557 := [unit-resolution #569 #635]: #594 +#503 := (= #275 #590) #17 := (= #14 #16) #19 := (= f8 #16) -#136 := (not #19) +#133 := (not #19) #18 := (= f7 #16) -#135 := (not #18) -#137 := (or #135 #136) -#464 := (= #13 0::Int) -#473 := (= #13 #537) -#491 := (= #12 #537) -#138 := (not #137) -#407 := [hypothesis]: #138 -#151 := (or #137 #19) -#237 := [def-axiom]: #151 -#501 := [unit-resolution #237 #407]: #19 -#492 := [monotonicity #501]: #491 -#476 := (= #13 #12) -#395 := (= #10 #12) -#479 := (= f7 f8) -#488 := (= #16 f8) -#490 := [symm #501]: #488 -#150 := (or #137 #18) -#236 := [def-axiom]: #150 -#482 := [unit-resolution #236 #407]: #18 -#481 := [trans #482 #490]: #479 -#475 := [monotonicity #481]: #395 -#472 := (= #13 #10) -#487 := (= #10 #13) -#495 := (<= #12 0::Int) -#493 := [trans #492 #497]: #400 -#489 := (not #400) -#494 := (or #489 #495) -#483 := [th-lemma arith triangle-eq]: #494 -#484 := [unit-resolution #483 #493]: #495 -#485 := (or #489 #503) -#486 := [th-lemma arith triangle-eq]: #485 -#480 := [unit-resolution #486 #493]: #503 -#471 := [th-lemma arith eq-propagate -1 -1 #480 #484]: #487 -#474 := [symm #471]: #472 -#477 := [trans #474 #475]: #476 -#478 := [trans #477 #492]: #473 -#465 := [trans #478 #497]: #464 -#467 := [monotonicity #465]: #17 -#47 := (not #17) -#560 := (or #47 #137) -#144 := (iff #17 #137) +#132 := (not #18) +#123 := (or #132 #133) +#521 := (= #13 0::Int) +#534 := (= #13 #590) +#548 := (= #12 #590) +#124 := (not #123) +#556 := [hypothesis]: #124 +#208 := (or #123 #19) +#293 := [def-axiom]: #208 +#544 := [unit-resolution #293 #556]: #19 +#549 := [monotonicity #544]: #548 +#533 := (= #13 #12) +#459 := (= #10 #12) +#537 := (= f7 f8) +#546 := (= #16 f8) +#538 := [symm #544]: #546 +#207 := (or #123 #18) +#292 := [def-axiom]: #207 +#535 := [unit-resolution #292 #556]: #18 +#547 := [trans #535 #538]: #537 +#532 := [monotonicity #547]: #459 +#530 := (= #13 #10) +#527 := (= #10 #13) +#552 := (<= #12 0::Int) +#545 := [trans #549 #557]: #551 +#550 := (not #551) +#539 := (or #550 #552) +#540 := [th-lemma arith triangle-eq]: #539 +#541 := [unit-resolution #540 #545]: #552 +#542 := (or #550 #561) +#536 := [th-lemma arith triangle-eq]: #542 +#543 := [unit-resolution #536 #545]: #561 +#528 := [th-lemma arith eq-propagate -1 -1 #543 #541]: #527 +#531 := [symm #528]: #530 +#529 := [trans #531 #532]: #533 +#520 := [trans #529 #549]: #534 +#523 := [trans #520 #557]: #521 +#524 := [monotonicity #523]: #17 +#59 := (not #17) +#616 := (or #59 #123) +#139 := (iff #17 #123) #20 := (and #18 #19) -#48 := (iff #47 #20) -#147 := (iff #48 #144) -#141 := (iff #47 #138) -#145 := (iff #141 #144) -#146 := [rewrite]: #145 -#142 := (iff #48 #141) -#139 := (iff #20 #138) -#140 := [rewrite]: #139 -#143 := [monotonicity #140]: #142 -#148 := [trans #143 #146]: #147 +#60 := (iff #59 #20) +#142 := (iff #60 #139) +#136 := (iff #59 #124) +#140 := (iff #136 #139) +#141 := [rewrite]: #140 +#137 := (iff #60 #136) +#134 := (iff #20 #124) +#135 := [rewrite]: #134 +#138 := [monotonicity #135]: #137 +#143 := [trans #138 #141]: #142 #21 := (iff #17 #20) #22 := (not #21) -#49 := (iff #22 #48) -#50 := [rewrite]: #49 -#40 := [asserted]: #22 -#51 := [mp #40 #50]: #48 -#149 := [mp #51 #148]: #144 -#240 := (not #144) -#222 := (or #47 #137 #240) -#558 := [def-axiom]: #222 -#216 := [unit-resolution #558 #149]: #560 -#500 := [unit-resolution #216 #407]: #47 -#468 := [unit-resolution #500 #467]: false -#469 := [lemma #468]: #137 -#239 := (or #17 #138) -#241 := (or #17 #138 #240) -#242 := [def-axiom]: #241 -#243 := [unit-resolution #242 #149]: #239 -#461 := [unit-resolution #243 #469]: #17 -#452 := [monotonicity #461]: #462 -#463 := [trans #452 #497]: #539 -#441 := (not #539) -#442 := (or #441 #259) -#444 := [th-lemma arith triangle-eq]: #442 -#445 := [unit-resolution #444 #463]: #259 -#308 := (not #259) -#419 := (or #553 #448 #433 #308) -#420 := [th-lemma arith assign-bounds -1 -1 1]: #419 -#421 := [unit-resolution #420 #457 #445 #432]: #553 -#533 := (>= #219 0::Int) -#426 := (or #441 #533) -#422 := [th-lemma arith triangle-eq]: #426 -#423 := [unit-resolution #422 #463]: #533 -#403 := (* -1::Int #12) -#404 := (+ #10 #403) -#456 := (<= #404 0::Int) -#447 := (not #550) -#424 := (or #456 #433 #308 #447) -#427 := [th-lemma arith assign-bounds 1 -1/2 -1/2]: #424 -#428 := [unit-resolution #427 #415 #432 #445]: #456 -#406 := (>= #404 0::Int) -#443 := (or #406 #447 #448) -#458 := (not #406) -#459 := [hypothesis]: #458 -#460 := [hypothesis]: #550 -#446 := [th-lemma arith farkas -1/2 -1/2 -1/2 1 #445 #460 #459 #457]: false -#449 := [lemma #446]: #443 -#429 := [unit-resolution #449 #415 #457]: #406 -#425 := [th-lemma arith eq-propagate 1/2 1/2 -1/2 -1/2 -1/2 -1/2 #429 #428 #423 #445 #421 #415]: #400 -#430 := (= #505 #12) -#561 := (= #228 f8) +#61 := (iff #22 #60) +#62 := [rewrite]: #61 +#58 := [asserted]: #22 +#65 := [mp #58 #62]: #60 +#144 := [mp #65 #143]: #139 +#296 := (not #139) +#278 := (or #59 #123 #296) +#614 := [def-axiom]: #278 +#272 := [unit-resolution #614 #144]: #616 +#553 := [unit-resolution #272 #556]: #59 +#525 := [unit-resolution #553 #524]: false +#522 := [lemma #525]: #123 +#295 := (or #17 #124) +#297 := (or #17 #124 #296) +#298 := [def-axiom]: #297 +#299 := [unit-resolution #298 #144]: #295 +#502 := [unit-resolution #299 #522]: #17 +#504 := [monotonicity #502]: #503 +#499 := [trans #504 #557]: #596 +#505 := (not #596) +#491 := (or #505 #589) +#487 := [th-lemma arith triangle-eq]: #491 +#488 := [unit-resolution #487 #499]: #589 +#483 := (not #589) +#484 := (or #595 #493 #470 #483) +#485 := [th-lemma arith assign-bounds -1 -1 1]: #484 +#481 := [unit-resolution #485 #497 #488 #469]: #595 +#593 := (>= #275 0::Int) +#486 := (or #505 #593) +#466 := [th-lemma arith triangle-eq]: #486 +#412 := [unit-resolution #466 #499]: #593 +#460 := (* -1::Int #12) +#461 := (+ #10 #460) +#519 := (<= #461 0::Int) +#492 := (not #609) +#467 := (or #519 #470 #483 #492) +#448 := [th-lemma arith assign-bounds 1 -1/2 -1/2]: #467 +#472 := [unit-resolution #448 #480 #469 #488]: #519 +#463 := (>= #461 0::Int) +#494 := (or #463 #492 #493) +#498 := (not #463) +#500 := [hypothesis]: #498 +#501 := [hypothesis]: #609 +#489 := [th-lemma arith farkas -1/2 -1/2 -1/2 1 #488 #501 #500 #497]: false +#495 := [lemma #489]: #494 +#473 := [unit-resolution #495 #480 #497]: #463 +#468 := [th-lemma arith eq-propagate 1/2 1/2 -1/2 -1/2 -1/2 -1/2 #473 #472 #412 #488 #481 #480]: #551 +#474 := (= #562 #12) +#617 := (= #284 f8) #23 := (:var 0 S3) #24 := (f5 f6 #23) -#566 := (pattern #24) +#622 := (pattern #24) #25 := (f3 f4 #24) #26 := (= #25 #23) -#567 := (forall (vars (?v0 S3)) (:pat #566) #26) +#623 := (forall (vars (?v0 S3)) (:pat #622) #26) #27 := (forall (vars (?v0 S3)) #26) -#570 := (iff #27 #567) -#568 := (iff #26 #26) -#569 := [refl]: #568 -#571 := [quant-intro #569]: #570 -#128 := (~ #27 #27) -#100 := (~ #26 #26) -#101 := [refl]: #100 -#129 := [nnf-pos #101]: #128 -#41 := [asserted]: #27 -#124 := [mp~ #41 #129]: #27 -#572 := [mp #124 #571]: #567 -#562 := (not #567) -#555 := (or #562 #561) -#214 := [quant-inst #11]: #555 -#509 := [unit-resolution #214 #572]: #561 -#410 := [monotonicity #509]: #430 -#356 := [trans #410 #425]: #350 -#411 := [unit-resolution #435 #356]: false -#416 := [lemma #411]: #392 -#371 := [unit-resolution #416 #370]: #350 -#353 := (= #348 #505) -#510 := (= #12 #505) -#515 := (= f8 #228) -#516 := [symm #509]: #515 -#517 := [monotonicity #516]: #510 -#344 := (= #348 #12) -#372 := [trans #517 #371]: #400 -#373 := [unit-resolution #486 #372]: #503 -#374 := [unit-resolution #437 #373 #370]: #559 -#375 := [unit-resolution #439 #374]: #541 -#376 := [unit-resolution #414 #375]: #550 -#377 := [unit-resolution #427 #376 #373 #445]: #456 -#378 := [unit-resolution #449 #376 #370]: #406 -#379 := (not #456) -#380 := (or #395 #379 #458) -#381 := [th-lemma arith triangle-eq]: #380 -#366 := [unit-resolution #381 #378 #377]: #395 -#382 := (= #348 #10) -#227 := (= #554 f7) -#563 := (or #562 #227) -#564 := [quant-inst #9]: #563 -#418 := [unit-resolution #564 #572]: #227 -#343 := [monotonicity #418]: #382 -#351 := [trans #343 #366]: #344 -#354 := [trans #351 #517]: #353 -#355 := [trans #354 #371]: #349 -#357 := [unit-resolution #364 #355]: false -#358 := [lemma #357]: #349 -#352 := (= #10 #348) -#386 := (= f7 #554) -#393 := [symm #418]: #386 -#383 := [monotonicity #393]: #352 -#360 := [trans #383 #358]: #385 -#388 := (or #408 #18) -#394 := (= #554 #16) -#412 := [hypothesis]: #349 -#387 := [trans #383 #412]: #385 -#396 := [monotonicity #387]: #394 -#397 := [trans #393 #396]: #18 -#417 := [hypothesis]: #135 -#398 := [unit-resolution #417 #397]: false -#409 := [lemma #398]: #388 -#361 := [unit-resolution #409 #358]: #18 -#238 := (or #138 #135 #136) -#229 := [def-axiom]: #238 -#362 := [unit-resolution #229 #361 #469]: #136 -#454 := (or #453 #19) -#466 := (= #228 #16) -#508 := [hypothesis]: #350 -#405 := [trans #517 #508]: #400 -#470 := [monotonicity #405]: #466 -#450 := [trans #516 #470]: #19 -#514 := [hypothesis]: #136 -#451 := [unit-resolution #514 #450]: false -#455 := [lemma #451]: #454 -#345 := [unit-resolution #455 #362]: #453 -#363 := [unit-resolution #416 #345]: #448 -#333 := (not #385) -#334 := (or #333 #346) -#335 := [th-lemma arith triangle-eq]: #334 -[unit-resolution #335 #363 #360]: false -3c81c3713e9b37bc83515c2cd6394e0a05b5171d 65 0 -unsat +#626 := (iff #27 #623) +#624 := (iff #26 #26) +#625 := [refl]: #624 +#627 := [quant-intro #625]: #626 +#127 := (~ #27 #27) +#125 := (~ #26 #26) +#126 := [refl]: #125 +#128 := [nnf-pos #126]: #127 +#63 := [asserted]: #27 +#117 := [mp~ #63 #128]: #27 +#628 := [mp #117 #627]: #623 +#618 := (not #623) +#611 := (or #618 #617) +#270 := [quant-inst #11]: #611 +#506 := [unit-resolution #270 #628]: #617 +#442 := [monotonicity #506]: #474 +#449 := [trans #442 #468]: #554 +#408 := [unit-resolution #490 #449]: false +#441 := [lemma #408]: #439 +#435 := [unit-resolution #441 #434]: #554 +#418 := (= #405 #562) +#510 := (= #12 #562) +#507 := (= f8 #284) +#509 := [symm #506]: #507 +#511 := [monotonicity #509]: #510 +#416 := (= #405 #12) +#436 := [trans #511 #435]: #551 +#437 := [unit-resolution #536 #436]: #561 +#422 := [unit-resolution #364 #437 #434]: #615 +#438 := [unit-resolution #476 #422]: #597 +#399 := [unit-resolution #479 #438]: #609 +#400 := [unit-resolution #448 #399 #437 #488]: #519 +#407 := [unit-resolution #495 #399 #434]: #463 +#409 := (not #519) +#410 := (or #459 #409 #498) +#411 := [th-lemma arith triangle-eq]: #410 +#413 := [unit-resolution #411 #407 #400]: #459 +#414 := (= #405 #10) +#283 := (= #610 f7) +#619 := (or #618 #283) +#620 := [quant-inst #9]: #619 +#452 := [unit-resolution #620 #628]: #283 +#415 := [monotonicity #452]: #414 +#417 := [trans #415 #413]: #416 +#401 := [trans #417 #511]: #418 +#419 := [trans #401 #435]: #558 +#389 := [unit-resolution #432 #419]: false +#390 := [lemma #389]: #558 +#464 := (= #10 #405) +#453 := (= f7 #610) +#454 := [symm #452]: #453 +#444 := [monotonicity #454]: #464 +#392 := [trans #444 #390]: #465 +#430 := (or #429 #18) +#421 := (= #610 #16) +#450 := [hypothesis]: #558 +#420 := [trans #444 #450]: #465 +#426 := [monotonicity #420]: #421 +#427 := [trans #454 #426]: #18 +#443 := [hypothesis]: #132 +#428 := [unit-resolution #443 #427]: false +#431 := [lemma #428]: #430 +#394 := [unit-resolution #431 #390]: #18 +#294 := (or #124 #132 #133) +#285 := [def-axiom]: #294 +#395 := [unit-resolution #285 #394 #522]: #133 +#518 := (or #517 #19) +#513 := (= #284 #16) +#526 := [hypothesis]: #554 +#512 := [trans #511 #526]: #551 +#514 := [monotonicity #512]: #513 +#515 := [trans #509 #514]: #19 +#462 := [hypothesis]: #133 +#516 := [unit-resolution #462 #515]: false +#508 := [lemma #516]: #518 +#396 := [unit-resolution #508 #395]: #517 +#238 := [unit-resolution #441 #396]: #493 +#397 := (not #465) +#393 := (or #397 #404) +#398 := [th-lemma arith triangle-eq]: #393 +[unit-resolution #398 #238 #392]: false +unsat +7309f258a79af4da7f45b6f7385fe1a230a81a14 51 0 #2 := false decl f5 :: (-> S4 S3 Int) #16 := (:var 0 S3) decl f6 :: S4 #8 := f6 #17 := (f5 f6 #16) -#564 := (pattern #17) +#607 := (pattern #17) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #18 := (f3 f4 #17) #19 := (= #18 #16) -#565 := (forall (vars (?v0 S3)) (:pat #564) #19) +#608 := (forall (vars (?v0 S3)) (:pat #607) #19) #20 := (forall (vars (?v0 S3)) #19) -#568 := (iff #20 #565) -#566 := (iff #19 #19) -#567 := [refl]: #566 -#569 := [quant-intro #567]: #568 -#138 := (~ #20 #20) -#142 := (~ #19 #19) -#143 := [refl]: #142 -#139 := [nnf-pos #143]: #138 -#34 := [asserted]: #20 -#140 := [mp~ #34 #139]: #20 -#570 := [mp #140 #569]: #565 +#611 := (iff #20 #608) +#609 := (iff #19 #19) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#127 := (~ #20 #20) +#125 := (~ #19 #19) +#126 := [refl]: #125 +#128 := [nnf-pos #126]: #127 +#63 := [asserted]: #20 +#117 := [mp~ #63 #128]: #20 +#613 := [mp #117 #612]: #608 decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#56 := (f3 f4 #10) -#59 := (= #56 f7) -#62 := (not #59) +#54 := (f3 f4 #10) +#57 := (= #54 f7) +#60 := (not #57) #11 := 0::Int #12 := (- #10 0::Int) #13 := (f3 f4 #12) #14 := (= #13 f7) #15 := (not #14) -#63 := (iff #15 #62) -#60 := (iff #14 #59) -#57 := (= #13 #56) -#54 := (= #12 #10) -#40 := -1::Int -#41 := (* -1::Int 0::Int) -#42 := (+ #10 #41) -#52 := (= #42 #10) -#47 := (+ #10 0::Int) -#50 := (= #47 #10) -#51 := [rewrite]: #50 -#48 := (= #42 #47) -#45 := (= #41 0::Int) -#46 := [rewrite]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#43 := (= #12 #42) -#44 := [rewrite]: #43 -#55 := [trans #44 #53]: #54 -#58 := [monotonicity #55]: #57 -#61 := [monotonicity #58]: #60 -#64 := [monotonicity #61]: #63 -#33 := [asserted]: #15 -#65 := [mp #33 #64]: #62 -#150 := (not #565) -#236 := (or #150 #59) -#237 := [quant-inst #9]: #236 -[unit-resolution #237 #65 #570]: false -7a1aee105dba714bf6a08b99cf3f498e052aeddf 156 0 -unsat +#61 := (iff #15 #60) +#58 := (iff #14 #57) +#55 := (= #13 #54) +#52 := (= #12 #10) +#53 := [rewrite]: #52 +#56 := [monotonicity #53]: #55 +#59 := [monotonicity #56]: #58 +#62 := [monotonicity #59]: #61 +#51 := [asserted]: #15 +#65 := [mp #51 #62]: #60 +#278 := (not #608) +#279 := (or #278 #57) +#270 := [quant-inst #9]: #279 +[unit-resolution #270 #65 #613]: false +unsat +a612762a52e0e6c4e482e14565e5fee7610935cc 161 0 #2 := false decl f7 :: (-> S4 Int S3) #16 := 0::Int @@ -11227,151 +10262,156 @@ decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#49 := -1::Int -#50 := (* -1::Int #11) +#57 := -1::Int +#58 := (* -1::Int #11) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#51 := (+ #9 #50) -#54 := (f7 f8 #51) -#57 := (= #54 #17) -#256 := (f3 f4 #54) -#530 := (f7 f8 #256) -#509 := (= #530 #17) -#405 := (= #17 #530) -#403 := (= 0::Int #256) -#219 := (= #256 0::Int) +#59 := (+ #9 #58) +#62 := (f7 f8 #59) +#65 := (= #62 #17) +#321 := (f3 f4 #62) +#589 := (f7 f8 #321) +#575 := (= #589 #17) +#429 := (= #17 #589) +#469 := (= 0::Int #321) +#285 := (= #321 0::Int) #26 := (:var 0 Int) #28 := (f7 f8 #26) -#587 := (pattern #28) +#652 := (pattern #28) #29 := (f3 f4 #28) #34 := (= #29 0::Int) -#133 := (>= #26 0::Int) -#145 := (or #133 #34) -#594 := (forall (vars (?v0 Int)) (:pat #587) #145) -#148 := (forall (vars (?v0 Int)) #145) -#597 := (iff #148 #594) -#595 := (iff #145 #145) -#596 := [refl]: #595 -#598 := [quant-intro #596]: #597 -#162 := (~ #148 #148) -#158 := (~ #145 #145) -#159 := [refl]: #158 -#163 := [nnf-pos #159]: #162 -#27 := (<= 0::Int #26) -#96 := (or #27 #34) -#101 := (forall (vars (?v0 Int)) #96) -#149 := (iff #101 #148) -#146 := (iff #96 #145) -#132 := (iff #27 #133) -#134 := [rewrite]: #132 -#147 := [monotonicity #134]: #146 -#150 := [quant-intro #147]: #149 +#113 := (>= #26 0::Int) +#144 := (or #113 #34) +#659 := (forall (vars (?v0 Int)) (:pat #652) #144) +#147 := (forall (vars (?v0 Int)) #144) +#662 := (iff #147 #659) +#660 := (iff #144 #144) +#661 := [refl]: #660 +#663 := [quant-intro #661]: #662 +#162 := (~ #147 #147) +#154 := (~ #144 #144) +#155 := [refl]: #154 +#163 := [nnf-pos #155]: #162 #33 := (< #26 0::Int) #35 := (implies #33 #34) #36 := (forall (vars (?v0 Int)) #35) -#102 := (iff #36 #101) -#99 := (iff #35 #96) -#79 := (not #27) -#93 := (implies #79 #34) -#97 := (iff #93 #96) -#98 := [rewrite]: #97 -#94 := (iff #35 #93) -#88 := (iff #33 #79) -#90 := (iff #79 #79) -#75 := (iff #27 #27) -#76 := [rewrite]: #75 -#91 := [monotonicity #76]: #90 -#89 := [rewrite]: #88 -#92 := [trans #89 #91]: #88 -#95 := [monotonicity #92]: #94 -#100 := [trans #95 #98]: #99 -#103 := [quant-intro #100]: #102 -#41 := [asserted]: #36 -#104 := [mp #41 #103]: #101 -#151 := [mp #104 #150]: #148 -#164 := [mp~ #151 #163]: #148 -#599 := [mp #164 #598]: #594 -#126 := (>= #51 0::Int) -#128 := (not #126) -#45 := (<= #11 #9) -#46 := (not #45) -#129 := (iff #46 #128) -#125 := (iff #45 #126) -#127 := [rewrite]: #125 -#130 := [monotonicity #127]: #129 -#63 := (or #45 #57) -#68 := (not #63) +#150 := (iff #36 #147) +#128 := (not #33) +#129 := (or #128 #34) +#132 := (forall (vars (?v0 Int)) #129) +#148 := (iff #132 #147) +#145 := (iff #129 #144) +#142 := (iff #128 #113) +#115 := (not #113) +#137 := (not #115) +#140 := (iff #137 #113) +#141 := [rewrite]: #140 +#138 := (iff #128 #137) +#135 := (iff #33 #115) +#136 := [rewrite]: #135 +#139 := [monotonicity #136]: #138 +#143 := [trans #139 #141]: #142 +#146 := [monotonicity #143]: #145 +#149 := [quant-intro #146]: #148 +#133 := (iff #36 #132) +#130 := (iff #35 #129) +#131 := [rewrite]: #130 +#134 := [quant-intro #131]: #133 +#151 := [trans #134 #149]: #150 +#127 := [asserted]: #36 +#152 := [mp #127 #151]: #147 +#170 := [mp~ #152 #163]: #147 +#664 := [mp #170 #663]: #659 +#81 := (>= #59 0::Int) +#80 := (not #81) +#91 := (or #81 #65) +#94 := (not #91) #14 := (- #9 #11) #15 := (f7 f8 #14) #18 := (= #15 #17) #12 := (< #9 #11) #19 := (implies #12 #18) #20 := (not #19) -#69 := (iff #20 #68) -#66 := (iff #19 #63) -#60 := (implies #46 #57) -#64 := (iff #60 #63) -#65 := [rewrite]: #64 -#61 := (iff #19 #60) -#58 := (iff #18 #57) -#55 := (= #15 #54) -#52 := (= #14 #51) -#53 := [rewrite]: #52 -#56 := [monotonicity #53]: #55 -#59 := [monotonicity #56]: #58 -#47 := (iff #12 #46) -#48 := [rewrite]: #47 -#62 := [monotonicity #48 #59]: #61 -#67 := [trans #62 #65]: #66 +#97 := (iff #20 #94) +#71 := (not #12) +#72 := (or #71 #65) +#77 := (not #72) +#95 := (iff #77 #94) +#92 := (iff #72 #91) +#89 := (iff #71 #81) +#84 := (not #80) +#87 := (iff #84 #81) +#88 := [rewrite]: #87 +#85 := (iff #71 #84) +#82 := (iff #12 #80) +#83 := [rewrite]: #82 +#86 := [monotonicity #83]: #85 +#90 := [trans #86 #88]: #89 +#93 := [monotonicity #90]: #92 +#96 := [monotonicity #93]: #95 +#78 := (iff #20 #77) +#75 := (iff #19 #72) +#68 := (implies #12 #65) +#73 := (iff #68 #72) +#74 := [rewrite]: #73 +#69 := (iff #19 #68) +#66 := (iff #18 #65) +#63 := (= #15 #62) +#60 := (= #14 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 #70 := [monotonicity #67]: #69 -#38 := [asserted]: #20 -#71 := [mp #38 #70]: #68 -#72 := [not-or-elim #71]: #46 -#131 := [mp #72 #130]: #128 -#558 := (not #594) -#559 := (or #558 #126 #219) -#220 := (or #126 #219) -#560 := (or #558 #220) -#556 := (iff #560 #559) -#562 := [rewrite]: #556 -#561 := [quant-inst #51]: #560 -#200 := [mp #561 #562]: #559 -#520 := [unit-resolution #200 #131 #599]: #219 -#404 := [symm #520]: #403 -#364 := [monotonicity #404]: #405 -#510 := [symm #364]: #509 -#512 := (= #54 #530) -#524 := (= #530 #54) +#76 := [trans #70 #74]: #75 +#79 := [monotonicity #76]: #78 +#98 := [trans #79 #96]: #97 +#56 := [asserted]: #20 +#99 := [mp #56 #98]: #94 +#100 := [not-or-elim #99]: #80 +#624 := (not #659) +#625 := (or #624 #81 #285) +#286 := (or #81 #285) +#626 := (or #624 #286) +#627 := (iff #626 #625) +#265 := [rewrite]: #627 +#621 := [quant-inst #59]: #626 +#628 := [mp #621 #265]: #625 +#583 := [unit-resolution #628 #100 #664]: #285 +#470 := [symm #583]: #469 +#577 := [monotonicity #470]: #429 +#578 := [symm #577]: #575 +#479 := (= #62 #589) +#596 := (= #589 #62) #21 := (:var 0 S3) #22 := (f3 f4 #21) -#580 := (pattern #22) +#645 := (pattern #22) #23 := (f7 f8 #22) #24 := (= #23 #21) -#581 := (forall (vars (?v0 S3)) (:pat #580) #24) +#646 := (forall (vars (?v0 S3)) (:pat #645) #24) #25 := (forall (vars (?v0 S3)) #24) -#584 := (iff #25 #581) -#582 := (iff #24 #24) -#583 := [refl]: #582 -#585 := [quant-intro #583]: #584 -#156 := (~ #25 #25) -#154 := (~ #24 #24) -#155 := [refl]: #154 -#157 := [nnf-pos #155]: #156 -#39 := [asserted]: #25 -#123 := [mp~ #39 #157]: #25 -#586 := [mp #123 #585]: #581 -#253 := (not #581) -#518 := (or #253 #524) -#521 := [quant-inst #54]: #518 -#519 := [unit-resolution #521 #586]: #524 -#414 := [symm #519]: #512 -#513 := [trans #414 #510]: #57 -#73 := (not #57) -#74 := [not-or-elim #71]: #73 -[unit-resolution #74 #513]: false -18cfec257bf09c7e04f15e4363ab463f93e36d3c 297 0 -unsat +#649 := (iff #25 #646) +#647 := (iff #24 #24) +#648 := [refl]: #647 +#650 := [quant-intro #648]: #649 +#168 := (~ #25 #25) +#166 := (~ #24 #24) +#167 := [refl]: #166 +#169 := [nnf-pos #167]: #168 +#103 := [asserted]: #25 +#158 := [mp~ #103 #169]: #25 +#651 := [mp #158 #650]: #646 +#318 := (not #646) +#586 := (or #318 #596) +#468 := [quant-inst #62]: #586 +#585 := [unit-resolution #468 #651]: #596 +#574 := [symm #585]: #479 +#463 := [trans #574 #578]: #65 +#101 := (not #65) +#102 := [not-or-elim #99]: #101 +[unit-resolution #102 #463]: false +unsat +daef8f790726761d318bc7ef25020f07145aab1a 281 0 #2 := false decl f3 :: (-> S2 Int S3) #15 := 0::Int @@ -11384,292 +10424,276 @@ decl f6 :: S4 #8 := f6 #12 := (f5 f6 f8) -#51 := -1::Int -#52 := (* -1::Int #12) +#59 := -1::Int +#60 := (* -1::Int #12) decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#53 := (+ #10 #52) -#56 := (f3 f4 #53) -#59 := (= #56 #16) -#248 := (f5 f6 #56) -#490 := (f3 f4 #248) -#435 := (= #490 #16) -#453 := (= #16 #490) -#449 := (= 0::Int #248) -#232 := (= #248 0::Int) -#267 := (>= #53 0::Int) -#268 := (not #267) -#66 := (* -1::Int #10) -#128 := (+ #66 #12) -#131 := (f3 f4 #128) -#392 := (f5 f6 #131) -#515 := (<= #392 0::Int) -#463 := (not #515) -#521 := (= #392 0::Int) -#477 := (not #521) -#134 := (= #131 #16) -#497 := (f3 f4 #392) -#484 := (= #497 #16) -#480 := (= #16 #497) -#478 := (= 0::Int #392) -#495 := [hypothesis]: #521 -#479 := [symm #495]: #478 -#481 := [monotonicity #479]: #480 -#485 := [symm #481]: #484 -#482 := (= #131 #497) -#499 := (= #497 #131) +#61 := (+ #10 #60) +#64 := (f3 f4 #61) +#67 := (= #64 #16) +#290 := (f5 f6 #64) +#535 := (f3 f4 #290) +#460 := (= #535 #16) +#484 := (= #16 #535) +#459 := (= 0::Int #290) +#610 := (= #290 0::Int) +#309 := (>= #61 0::Int) +#310 := (not #309) +#70 := (* -1::Int #10) +#71 := (+ #70 #12) +#74 := (f3 f4 #71) +#435 := (f5 f6 #74) +#546 := (<= #435 0::Int) +#487 := (not #546) +#451 := (= #435 0::Int) +#508 := (not #451) +#77 := (= #74 #16) +#542 := (f3 f4 #435) +#528 := (= #542 #16) +#524 := (= #16 #542) +#522 := (= 0::Int #435) +#518 := [hypothesis]: #451 +#523 := [symm #518]: #522 +#525 := [monotonicity #523]: #524 +#529 := [symm #525]: #528 +#526 := (= #74 #542) +#543 := (= #542 #74) #23 := (:var 0 S3) #24 := (f5 f6 #23) -#591 := (pattern #24) +#633 := (pattern #24) #25 := (f3 f4 #24) #26 := (= #25 #23) -#592 := (forall (vars (?v0 S3)) (:pat #591) #26) +#634 := (forall (vars (?v0 S3)) (:pat #633) #26) #27 := (forall (vars (?v0 S3)) #26) -#595 := (iff #27 #592) -#593 := (iff #26 #26) -#594 := [refl]: #593 -#596 := [quant-intro #594]: #595 -#171 := (~ #27 #27) -#167 := (~ #26 #26) -#168 := [refl]: #167 -#172 := [nnf-pos #168]: #171 -#45 := [asserted]: #27 -#169 := [mp~ #45 #172]: #27 -#597 := [mp #169 #596]: #592 -#264 := (not #592) -#493 := (or #264 #499) -#494 := [quant-inst #131]: #493 -#491 := [unit-resolution #494 #597]: #499 -#483 := [symm #491]: #482 -#486 := [trans #483 #485]: #134 -#137 := (not #134) -#67 := (+ #12 #66) -#70 := (f3 f4 #67) -#73 := (= #70 #16) -#76 := (not #73) -#138 := (iff #76 #137) -#135 := (iff #73 #134) -#132 := (= #70 #131) -#129 := (= #67 #128) -#130 := [rewrite]: #129 -#133 := [monotonicity #130]: #132 -#136 := [monotonicity #133]: #135 -#139 := [monotonicity #136]: #138 +#637 := (iff #27 #634) +#635 := (iff #26 #26) +#636 := [refl]: #635 +#638 := [quant-intro #636]: #637 +#156 := (~ #27 #27) +#154 := (~ #26 #26) +#155 := [refl]: #154 +#157 := [nnf-pos #155]: #156 +#91 := [asserted]: #27 +#146 := [mp~ #91 #157]: #27 +#639 := [mp #146 #638]: #634 +#306 := (not #634) +#533 := (or #306 #543) +#537 := [quant-inst #74]: #533 +#517 := [unit-resolution #537 #639]: #543 +#527 := [symm #517]: #526 +#519 := [trans #527 #529]: #77 +#89 := (not #77) +#80 := (or #67 #77) +#83 := (not #80) #18 := (- #12 #10) #19 := (f3 f4 #18) #20 := (= #19 #16) -#43 := (not #20) -#77 := (iff #43 #76) -#74 := (iff #20 #73) -#71 := (= #19 #70) -#68 := (= #18 #67) -#69 := [rewrite]: #68 -#72 := [monotonicity #69]: #71 -#75 := [monotonicity #72]: #74 -#78 := [monotonicity #75]: #77 #13 := (- #10 #12) #14 := (f3 f4 #13) #17 := (= #14 #16) #21 := (or #17 #20) #22 := (not #21) -#40 := [asserted]: #22 -#44 := [not-or-elim #40]: #43 -#79 := [mp #44 #78]: #76 -#142 := [mp #79 #139]: #137 -#487 := [unit-resolution #142 #486]: false -#488 := [lemma #487]: #477 -#507 := (>= #392 0::Int) -#536 := (<= #53 0::Int) -#409 := (or #536 #521) +#84 := (iff #22 #83) +#81 := (iff #21 #80) +#78 := (iff #20 #77) +#75 := (= #19 #74) +#72 := (= #18 #71) +#73 := [rewrite]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76]: #78 +#68 := (iff #17 #67) +#65 := (= #14 #64) +#62 := (= #13 #61) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#69 := [monotonicity #66]: #68 +#82 := [monotonicity #69 #79]: #81 +#85 := [monotonicity #82]: #84 +#58 := [asserted]: #22 +#88 := [mp #58 #85]: #83 +#90 := [not-or-elim #88]: #89 +#530 := [unit-resolution #90 #519]: false +#509 := [lemma #530]: #508 +#548 := (>= #435 0::Int) +#579 := (<= #61 0::Int) +#468 := (or #579 #451) #28 := (:var 0 Int) #30 := (f3 f4 #28) -#598 := (pattern #30) +#640 := (pattern #30) #31 := (f5 f6 #30) #36 := (= #31 0::Int) -#144 := (>= #28 0::Int) -#156 := (or #144 #36) -#605 := (forall (vars (?v0 Int)) (:pat #598) #156) -#159 := (forall (vars (?v0 Int)) #156) -#608 := (iff #159 #605) -#606 := (iff #156 #156) -#607 := [refl]: #606 -#609 := [quant-intro #607]: #608 -#173 := (~ #159 #159) -#165 := (~ #156 #156) -#166 := [refl]: #165 -#174 := [nnf-pos #166]: #173 -#29 := (<= 0::Int #28) -#101 := (or #29 #36) -#106 := (forall (vars (?v0 Int)) #101) -#160 := (iff #106 #159) -#157 := (iff #101 #156) -#143 := (iff #29 #144) -#145 := [rewrite]: #143 -#158 := [monotonicity #145]: #157 -#161 := [quant-intro #158]: #160 +#101 := (>= #28 0::Int) +#132 := (or #101 #36) +#647 := (forall (vars (?v0 Int)) (:pat #640) #132) +#135 := (forall (vars (?v0 Int)) #132) +#650 := (iff #135 #647) +#648 := (iff #132 #132) +#649 := [refl]: #648 +#651 := [quant-intro #649]: #650 +#150 := (~ #135 #135) +#142 := (~ #132 #132) +#143 := [refl]: #142 +#151 := [nnf-pos #143]: #150 #35 := (< #28 0::Int) #37 := (implies #35 #36) #38 := (forall (vars (?v0 Int)) #37) -#107 := (iff #38 #106) -#104 := (iff #37 #101) -#84 := (not #29) -#98 := (implies #84 #36) -#102 := (iff #98 #101) -#103 := [rewrite]: #102 -#99 := (iff #37 #98) -#93 := (iff #35 #84) -#95 := (iff #84 #84) -#80 := (iff #29 #29) -#81 := [rewrite]: #80 -#96 := [monotonicity #81]: #95 -#94 := [rewrite]: #93 -#97 := [trans #94 #96]: #93 -#100 := [monotonicity #97]: #99 -#105 := [trans #100 #103]: #104 -#108 := [quant-intro #105]: #107 -#47 := [asserted]: #38 -#109 := [mp #47 #108]: #106 -#162 := [mp #109 #161]: #159 -#175 := [mp~ #162 #174]: #159 -#610 := [mp #175 #609]: #605 -#571 := (not #605) -#427 := (or #571 #536 #521) -#545 := (>= #128 0::Int) -#524 := (or #545 #521) -#420 := (or #571 #524) -#522 := (iff #420 #427) -#429 := (or #571 #409) -#432 := (iff #429 #427) -#525 := [rewrite]: #432 -#430 := (iff #420 #429) -#424 := (iff #524 #409) -#537 := (iff #545 #536) -#538 := [rewrite]: #537 -#426 := [monotonicity #538]: #424 -#431 := [monotonicity #426]: #430 -#526 := [trans #431 #525]: #522 -#428 := [quant-inst #128]: #420 -#513 := [mp #428 #526]: #427 -#544 := [unit-resolution #513 #610]: #409 -#471 := [unit-resolution #544 #488]: #536 -#540 := (+ #10 #52 #392) -#520 := (>= #540 0::Int) -#541 := (= #540 0::Int) -#539 := (not #536) -#371 := (or #539 #541) +#138 := (iff #38 #135) +#116 := (not #35) +#117 := (or #116 #36) +#120 := (forall (vars (?v0 Int)) #117) +#136 := (iff #120 #135) +#133 := (iff #117 #132) +#130 := (iff #116 #101) +#103 := (not #101) +#125 := (not #103) +#128 := (iff #125 #101) +#129 := [rewrite]: #128 +#126 := (iff #116 #125) +#123 := (iff #35 #103) +#124 := [rewrite]: #123 +#127 := [monotonicity #124]: #126 +#131 := [trans #127 #129]: #130 +#134 := [monotonicity #131]: #133 +#137 := [quant-intro #134]: #136 +#121 := (iff #38 #120) +#118 := (iff #37 #117) +#119 := [rewrite]: #118 +#122 := [quant-intro #119]: #121 +#139 := [trans #122 #137]: #138 +#115 := [asserted]: #38 +#140 := [mp #115 #139]: #135 +#158 := [mp~ #140 #151]: #135 +#652 := [mp #158 #651]: #647 +#614 := (not #647) +#470 := (or #614 #579 #451) +#593 := (>= #71 0::Int) +#466 := (or #593 #451) +#471 := (or #614 #466) +#555 := (iff #471 #470) +#473 := (or #614 #468) +#564 := (iff #473 #470) +#568 := [rewrite]: #564 +#474 := (iff #471 #473) +#469 := (iff #466 #468) +#580 := (iff #593 #579) +#581 := [rewrite]: #580 +#462 := [monotonicity #581]: #469 +#567 := [monotonicity #462]: #474 +#557 := [trans #567 #568]: #555 +#472 := [quant-inst #71]: #471 +#549 := [mp #472 #557]: #470 +#513 := [unit-resolution #549 #652]: #468 +#503 := [unit-resolution #513 #509]: #579 +#583 := (+ #60 #435) +#577 := (+ #10 #583) +#566 := (>= #577 0::Int) +#584 := (= #577 0::Int) +#575 := (not #579) +#416 := (or #575 #584) #32 := (= #31 #28) -#146 := (not #144) -#149 := (or #146 #32) -#599 := (forall (vars (?v0 Int)) (:pat #598) #149) -#152 := (forall (vars (?v0 Int)) #149) -#602 := (iff #152 #599) -#600 := (iff #149 #149) -#601 := [refl]: #600 -#603 := [quant-intro #601]: #602 -#141 := (~ #152 #152) -#170 := (~ #149 #149) -#140 := [refl]: #170 -#163 := [nnf-pos #140]: #141 -#85 := (or #84 #32) -#89 := (forall (vars (?v0 Int)) #85) -#153 := (iff #89 #152) -#150 := (iff #85 #149) -#147 := (iff #84 #146) -#148 := [monotonicity #145]: #147 -#151 := [monotonicity #148]: #150 -#154 := [quant-intro #151]: #153 +#106 := (or #103 #32) +#641 := (forall (vars (?v0 Int)) (:pat #640) #106) +#109 := (forall (vars (?v0 Int)) #106) +#644 := (iff #109 #641) +#642 := (iff #106 #106) +#643 := [refl]: #642 +#645 := [quant-intro #643]: #644 +#148 := (~ #109 #109) +#147 := (~ #106 #106) +#144 := [refl]: #147 +#149 := [nnf-pos #144]: #148 +#29 := (<= 0::Int #28) #33 := (implies #29 #32) #34 := (forall (vars (?v0 Int)) #33) -#90 := (iff #34 #89) -#86 := (iff #33 #85) -#87 := [rewrite]: #86 -#82 := (iff #33 #33) -#83 := [monotonicity #81]: #82 -#88 := [trans #83 #87]: #86 -#91 := [quant-intro #88]: #90 -#46 := [asserted]: #34 -#92 := [mp #46 #91]: #89 -#155 := [mp #92 #154]: #152 -#164 := [mp~ #155 #163]: #152 -#604 := [mp #164 #603]: #599 -#589 := (not #599) -#527 := (or #589 #539 #541) -#393 := (= #392 #128) -#551 := (not #545) -#394 := (or #551 #393) -#528 := (or #589 #394) -#416 := (iff #528 #527) -#531 := (or #589 #371) -#414 := (iff #531 #527) -#415 := [rewrite]: #414 -#529 := (iff #528 #531) -#373 := (iff #394 #371) -#535 := (iff #393 #541) -#542 := [rewrite]: #535 -#533 := (iff #551 #539) -#534 := [monotonicity #538]: #533 -#374 := [monotonicity #534 #542]: #373 -#532 := [monotonicity #374]: #529 -#375 := [trans #532 #415]: #416 -#530 := [quant-inst #128]: #528 -#523 := [mp #530 #375]: #527 -#472 := [unit-resolution #523 #604]: #371 -#473 := [unit-resolution #472 #471]: #541 -#468 := (not #541) -#474 := (or #468 #520) -#460 := [th-lemma arith triangle-eq]: #474 -#456 := [unit-resolution #460 #473]: #520 -#457 := (not #520) -#458 := (or #507 #457 #539) -#461 := [th-lemma arith assign-bounds 1 -1]: #458 -#462 := [unit-resolution #461 #456 #471]: #507 -#464 := (not #507) -#459 := (or #521 #463 #464) -#465 := [th-lemma arith triangle-eq]: #459 -#438 := [unit-resolution #465 #462 #488]: #463 -#425 := (<= #540 0::Int) -#439 := (or #468 #425) -#440 := [th-lemma arith triangle-eq]: #439 -#333 := [unit-resolution #440 #473]: #425 -#444 := (not #425) -#445 := (or #268 #515 #444) -#446 := [th-lemma arith assign-bounds 1 -1]: #445 -#451 := [unit-resolution #446 #333 #438]: #268 -#568 := (or #267 #232) -#572 := (or #571 #267 #232) -#567 := (or #571 #568) -#211 := (iff #567 #572) -#574 := [rewrite]: #211 -#573 := [quant-inst #53]: #567 -#576 := [mp #573 #574]: #572 -#447 := [unit-resolution #576 #610]: #568 -#448 := [unit-resolution #447 #451]: #232 -#452 := [symm #448]: #449 -#454 := [monotonicity #452]: #453 -#381 := [symm #454]: #435 -#450 := (= #56 #490) -#492 := (= #490 #56) -#469 := (or #264 #492) -#470 := [quant-inst #56]: #469 -#543 := [unit-resolution #470 #597]: #492 -#455 := [symm #543]: #450 -#436 := [trans #455 #381]: #59 -#62 := (not #59) -#41 := (not #17) -#63 := (iff #41 #62) -#60 := (iff #17 #59) -#57 := (= #14 #56) -#54 := (= #13 #53) -#55 := [rewrite]: #54 -#58 := [monotonicity #55]: #57 -#61 := [monotonicity #58]: #60 -#64 := [monotonicity #61]: #63 -#42 := [not-or-elim #40]: #41 -#65 := [mp #42 #64]: #62 -[unit-resolution #65 #436]: false -1bebcd25606d258ac04a776ceb5aa65b98a4cfcc 287 0 -unsat +#112 := (iff #34 #109) +#93 := (not #29) +#94 := (or #93 #32) +#97 := (forall (vars (?v0 Int)) #94) +#110 := (iff #97 #109) +#107 := (iff #94 #106) +#104 := (iff #93 #103) +#100 := (iff #29 #101) +#102 := [rewrite]: #100 +#105 := [monotonicity #102]: #104 +#108 := [monotonicity #105]: #107 +#111 := [quant-intro #108]: #110 +#98 := (iff #34 #97) +#95 := (iff #33 #94) +#96 := [rewrite]: #95 +#99 := [quant-intro #96]: #98 +#113 := [trans #99 #111]: #112 +#92 := [asserted]: #34 +#114 := [mp #92 #113]: #109 +#145 := [mp~ #114 #149]: #109 +#646 := [mp #145 #645]: #641 +#626 := (not #641) +#572 := (or #626 #575 #584) +#436 := (= #435 #71) +#434 := (not #593) +#578 := (or #434 #436) +#573 := (or #626 #578) +#565 := (iff #573 #572) +#574 := (or #626 #416) +#458 := (iff #574 #572) +#417 := [rewrite]: #458 +#456 := (iff #573 #574) +#569 := (iff #578 #416) +#413 := (iff #436 #584) +#415 := [rewrite]: #413 +#576 := (iff #434 #575) +#582 := [monotonicity #581]: #576 +#570 := [monotonicity #582 #415]: #569 +#457 := [monotonicity #570]: #456 +#467 := [trans #457 #417]: #565 +#571 := [quant-inst #71]: #573 +#562 := [mp #571 #467]: #572 +#504 := [unit-resolution #562 #646]: #416 +#505 := [unit-resolution #504 #503]: #584 +#506 := (not #584) +#501 := (or #506 #566) +#507 := [th-lemma arith triangle-eq]: #501 +#480 := [unit-resolution #507 #505]: #566 +#481 := (not #566) +#482 := (or #548 #481 #575) +#375 := [th-lemma arith assign-bounds 1 -1]: #482 +#486 := [unit-resolution #375 #480 #503]: #548 +#488 := (not #548) +#493 := (or #451 #487 #488) +#489 := [th-lemma arith triangle-eq]: #493 +#490 := [unit-resolution #489 #486 #509]: #487 +#563 := (<= #577 0::Int) +#491 := (or #506 #563) +#494 := [th-lemma arith triangle-eq]: #491 +#495 := [unit-resolution #494 #505]: #563 +#496 := (not #563) +#492 := (or #310 #546 #496) +#497 := [th-lemma arith assign-bounds 1 -1]: #492 +#477 := [unit-resolution #497 #495 #490]: #310 +#611 := (or #309 #610) +#609 := (or #614 #309 #610) +#615 := (or #614 #611) +#616 := (iff #615 #609) +#618 := [rewrite]: #616 +#253 := [quant-inst #61]: #615 +#258 := [mp #253 #618]: #609 +#423 := [unit-resolution #258 #652]: #611 +#478 := [unit-resolution #423 #477]: #610 +#483 := [symm #478]: #459 +#479 := [monotonicity #483]: #484 +#419 := [symm #479]: #460 +#485 := (= #64 #535) +#536 := (= #535 #64) +#499 := (or #306 #536) +#500 := [quant-inst #64]: #499 +#512 := [unit-resolution #500 #639]: #536 +#453 := [symm #512]: #485 +#450 := [trans #453 #419]: #67 +#86 := (not #67) +#87 := [not-or-elim #88]: #86 +[unit-resolution #87 #450]: false +unsat +b4a6a90393789bf8defbaef4acfd5e61ff77c32f 270 0 #2 := false decl f8 :: S3 #11 := f8 @@ -11680,166 +10704,137 @@ decl f6 :: S4 #8 := f6 #12 := (f5 f6 f8) -#47 := -1::Int -#48 := (* -1::Int #12) +#59 := -1::Int +#60 := (* -1::Int #12) #10 := (f5 f6 f7) -#49 := (+ #10 #48) -#144 := (>= #49 0::Int) -#146 := (if #144 f7 f8) +#61 := (+ #10 #60) +#88 := (>= #61 0::Int) +#94 := (if #88 f7 f8) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 -#52 := (f3 f4 #49) -#55 := (f5 f6 #52) -#131 := (+ #12 #55) -#134 := (f3 f4 #131) -#149 := (= #134 #146) -#279 := (= f8 #146) -#194 := (not #144) -#193 := (= f7 #146) -#446 := [hypothesis]: #144 -#280 := (or #194 #193) -#281 := [def-axiom]: #280 -#447 := [unit-resolution #281 #446]: #193 -#477 := (= #134 f7) -#282 := (f3 f4 #10) -#286 := (= #282 f7) +#64 := (f3 f4 #61) +#67 := (f5 f6 #64) +#73 := (+ #12 #67) +#78 := (f3 f4 #73) +#99 := (= #78 #94) +#321 := (= f8 #94) +#87 := (not #88) +#236 := (= f7 #94) +#489 := [hypothesis]: #88 +#237 := (or #87 #236) +#322 := [def-axiom]: #237 +#490 := [unit-resolution #322 #489]: #236 +#515 := (= #78 f7) +#327 := (f3 f4 #10) +#324 := (= #327 f7) #22 := (:var 0 S3) #23 := (f5 f6 #22) -#608 := (pattern #23) +#650 := (pattern #23) #24 := (f3 f4 #23) #25 := (= #24 #22) -#609 := (forall (vars (?v0 S3)) (:pat #608) #25) +#651 := (forall (vars (?v0 S3)) (:pat #650) #25) #26 := (forall (vars (?v0 S3)) #25) -#612 := (iff #26 #609) -#610 := (iff #25 #25) -#611 := [refl]: #610 -#613 := [quant-intro #611]: #612 -#180 := (~ #26 #26) -#186 := (~ #25 #25) -#187 := [refl]: #186 -#181 := [nnf-pos #187]: #180 -#41 := [asserted]: #26 -#158 := [mp~ #41 #181]: #26 -#614 := [mp #158 #613]: #609 -#265 := (not #609) -#596 := (or #265 #286) -#270 := [quant-inst #9]: #596 -#533 := [unit-resolution #270 #614]: #286 -#489 := (= #134 #282) -#506 := (= #131 #10) -#536 := (= #10 #131) -#607 := (* -1::Int #55) -#597 := (+ #10 #48 #607) -#584 := (<= #597 0::Int) -#601 := (= #597 0::Int) -#262 := (or #194 #601) +#654 := (iff #26 #651) +#652 := (iff #25 #25) +#653 := [refl]: #652 +#655 := [quant-intro #653]: #654 +#171 := (~ #26 #26) +#169 := (~ #25 #25) +#170 := [refl]: #169 +#172 := [nnf-pos #170]: #171 +#108 := [asserted]: #26 +#161 := [mp~ #108 #172]: #26 +#656 := [mp #161 #655]: #651 +#328 := (not #651) +#431 := (or #328 #324) +#638 := [quant-inst #9]: #431 +#576 := [unit-resolution #638 #656]: #324 +#532 := (= #78 #327) +#549 := (= #73 #10) +#567 := (= #10 #73) +#643 := (* -1::Int #67) +#649 := (+ #60 #643) +#639 := (+ #10 #649) +#626 := (<= #639 0::Int) +#648 := (= #639 0::Int) +#304 := (or #87 #648) #28 := (:var 0 Int) #30 := (f3 f4 #28) -#615 := (pattern #30) +#657 := (pattern #30) #31 := (f5 f6 #30) #32 := (= #31 #28) -#161 := (>= #28 0::Int) -#163 := (not #161) -#166 := (or #163 #32) -#616 := (forall (vars (?v0 Int)) (:pat #615) #166) -#169 := (forall (vars (?v0 Int)) #166) -#619 := (iff #169 #616) -#617 := (iff #166 #166) -#618 := [refl]: #617 -#620 := [quant-intro #618]: #619 -#185 := (~ #169 #169) -#159 := (~ #166 #166) -#184 := [refl]: #159 -#182 := [nnf-pos #184]: #185 +#118 := (>= #28 0::Int) +#120 := (not #118) +#123 := (or #120 #32) +#658 := (forall (vars (?v0 Int)) (:pat #657) #123) +#126 := (forall (vars (?v0 Int)) #123) +#661 := (iff #126 #658) +#659 := (iff #123 #123) +#660 := [refl]: #659 +#662 := [quant-intro #660]: #661 +#163 := (~ #126 #126) +#162 := (~ #123 #123) +#159 := [refl]: #162 +#164 := [nnf-pos #159]: #163 #29 := (<= 0::Int #28) -#87 := (not #29) -#88 := (or #87 #32) -#92 := (forall (vars (?v0 Int)) #88) -#170 := (iff #92 #169) -#167 := (iff #88 #166) -#164 := (iff #87 #163) -#160 := (iff #29 #161) -#162 := [rewrite]: #160 -#165 := [monotonicity #162]: #164 -#168 := [monotonicity #165]: #167 -#171 := [quant-intro #168]: #170 #33 := (implies #29 #32) #34 := (forall (vars (?v0 Int)) #33) -#93 := (iff #34 #92) -#89 := (iff #33 #88) -#90 := [rewrite]: #89 -#85 := (iff #33 #33) -#83 := (iff #29 #29) -#84 := [rewrite]: #83 -#86 := [monotonicity #84]: #85 -#91 := [trans #86 #90]: #89 -#94 := [quant-intro #91]: #93 -#42 := [asserted]: #34 -#95 := [mp #42 #94]: #92 -#172 := [mp #95 #171]: #169 -#183 := [mp~ #172 #182]: #169 -#621 := [mp #183 #620]: #616 -#599 := (not #616) -#242 := (or #599 #194 #601) -#271 := (= #55 #49) -#603 := (or #194 #271) -#583 := (or #599 #603) -#587 := (iff #583 #242) -#247 := (or #599 #262) -#585 := (iff #247 #242) -#586 := [rewrite]: #585 -#248 := (iff #583 #247) -#598 := (iff #603 #262) -#606 := (iff #271 #601) -#257 := [rewrite]: #606 -#258 := [monotonicity #257]: #598 -#249 := [monotonicity #258]: #248 -#588 := [trans #249 #586]: #587 -#246 := [quant-inst #49]: #583 -#589 := [mp #246 #588]: #242 -#501 := [unit-resolution #589 #621]: #262 -#502 := [unit-resolution #501 #446]: #601 -#503 := (not #601) -#504 := (or #503 #584) -#494 := [th-lemma arith triangle-eq]: #504 -#505 := [unit-resolution #494 #502]: #584 -#590 := (>= #597 0::Int) -#483 := (or #503 #590) -#484 := [th-lemma arith triangle-eq]: #483 -#486 := [unit-resolution #484 #502]: #590 -#487 := [th-lemma arith eq-propagate -1 -1 #486 #505]: #536 -#488 := [symm #487]: #506 -#490 := [monotonicity #488]: #489 -#473 := [trans #490 #533]: #477 -#474 := [trans #473 #447]: #149 -#152 := (not #149) -#64 := (<= #12 #10) -#71 := (if #64 f7 f8) -#58 := (+ #55 #12) -#61 := (f3 f4 #58) -#76 := (= #61 #71) -#79 := (not #76) -#155 := (iff #79 #152) -#137 := (= #134 #71) -#140 := (not #137) -#153 := (iff #140 #152) -#150 := (iff #137 #149) -#147 := (= #71 #146) -#143 := (iff #64 #144) -#145 := [rewrite]: #143 -#148 := [monotonicity #145]: #147 -#151 := [monotonicity #148]: #150 -#154 := [monotonicity #151]: #153 -#141 := (iff #79 #140) -#138 := (iff #76 #137) -#135 := (= #61 #134) -#132 := (= #58 #131) -#133 := [rewrite]: #132 -#136 := [monotonicity #133]: #135 -#139 := [monotonicity #136]: #138 -#142 := [monotonicity #139]: #141 -#156 := [trans #142 #154]: #155 +#129 := (iff #34 #126) +#110 := (not #29) +#111 := (or #110 #32) +#114 := (forall (vars (?v0 Int)) #111) +#127 := (iff #114 #126) +#124 := (iff #111 #123) +#121 := (iff #110 #120) +#117 := (iff #29 #118) +#119 := [rewrite]: #117 +#122 := [monotonicity #119]: #121 +#125 := [monotonicity #122]: #124 +#128 := [quant-intro #125]: #127 +#115 := (iff #34 #114) +#112 := (iff #33 #111) +#113 := [rewrite]: #112 +#116 := [quant-intro #113]: #115 +#130 := [trans #116 #128]: #129 +#109 := [asserted]: #34 +#131 := [mp #109 #130]: #126 +#160 := [mp~ #131 #164]: #126 +#663 := [mp #160 #662]: #658 +#641 := (not #658) +#284 := (or #641 #87 #648) +#312 := (= #67 #61) +#313 := (or #87 #312) +#625 := (or #641 #313) +#629 := (iff #625 #284) +#289 := (or #641 #304) +#627 := (iff #289 #284) +#628 := [rewrite]: #627 +#290 := (iff #625 #289) +#640 := (iff #313 #304) +#647 := (iff #312 #648) +#299 := [rewrite]: #647 +#300 := [monotonicity #299]: #640 +#291 := [monotonicity #300]: #290 +#630 := [trans #291 #628]: #629 +#288 := [quant-inst #61]: #625 +#631 := [mp #288 #630]: #284 +#544 := [unit-resolution #631 #663]: #304 +#545 := [unit-resolution #544 #489]: #648 +#546 := (not #648) +#536 := (or #546 #626) +#547 := [th-lemma arith triangle-eq]: #536 +#525 := [unit-resolution #547 #545]: #626 +#632 := (>= #639 0::Int) +#526 := (or #546 #632) +#528 := [th-lemma arith triangle-eq]: #526 +#529 := [unit-resolution #528 #545]: #632 +#530 := [th-lemma arith eq-propagate -1 -1 #529 #525]: #567 +#531 := [symm #530]: #549 +#527 := [monotonicity #531]: #532 +#516 := [trans #527 #576]: #515 +#517 := [trans #516 #490]: #99 +#102 := (not #99) #18 := (< #10 #12) #19 := (if #18 f8 f7) #13 := (- #10 #12) @@ -11849,115 +10844,127 @@ #17 := (f3 f4 #16) #20 := (= #17 #19) #21 := (not #20) -#80 := (iff #21 #79) -#77 := (iff #20 #76) -#74 := (= #19 #71) -#65 := (not #64) -#68 := (if #65 f8 f7) -#72 := (= #68 #71) -#73 := [rewrite]: #72 -#69 := (= #19 #68) -#66 := (iff #18 #65) -#67 := [rewrite]: #66 -#70 := [monotonicity #67]: #69 -#75 := [trans #70 #73]: #74 -#62 := (= #17 #61) -#59 := (= #16 #58) -#56 := (= #15 #55) -#53 := (= #14 #52) -#50 := (= #13 #49) -#51 := [rewrite]: #50 -#54 := [monotonicity #51]: #53 -#57 := [monotonicity #54]: #56 -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#81 := [monotonicity #78]: #80 -#40 := [asserted]: #21 -#82 := [mp #40 #81]: #79 -#157 := [mp #82 #156]: #152 -#475 := [unit-resolution #157 #474]: false -#478 := [lemma #475]: #194 -#272 := (or #144 #279) -#283 := [def-axiom]: #272 -#499 := [unit-resolution #283 #478]: #279 -#466 := (= #134 f8) -#284 := (f3 f4 #12) -#285 := (= #284 f8) -#600 := (or #265 #285) -#602 := [quant-inst #11]: #600 -#500 := [unit-resolution #602 #614]: #285 -#463 := (= #134 #284) -#461 := (= #131 #12) -#457 := (= #12 #131) -#305 := (<= #55 0::Int) -#228 := (= #55 0::Int) -#591 := (or #144 #228) +#105 := (iff #21 #102) +#81 := (= #78 #19) +#84 := (not #81) +#103 := (iff #84 #102) +#100 := (iff #81 #99) +#97 := (= #19 #94) +#91 := (if #87 f8 f7) +#95 := (= #91 #94) +#96 := [rewrite]: #95 +#92 := (= #19 #91) +#89 := (iff #18 #87) +#90 := [rewrite]: #89 +#93 := [monotonicity #90]: #92 +#98 := [trans #93 #96]: #97 +#101 := [monotonicity #98]: #100 +#104 := [monotonicity #101]: #103 +#85 := (iff #21 #84) +#82 := (iff #20 #81) +#79 := (= #17 #78) +#76 := (= #16 #73) +#70 := (+ #67 #12) +#74 := (= #70 #73) +#75 := [rewrite]: #74 +#71 := (= #16 #70) +#68 := (= #15 #67) +#65 := (= #14 #64) +#62 := (= #13 #61) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#69 := [monotonicity #66]: #68 +#72 := [monotonicity #69]: #71 +#77 := [trans #72 #75]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#106 := [trans #86 #104]: #105 +#58 := [asserted]: #21 +#107 := [mp #58 #106]: #102 +#520 := [unit-resolution #107 #517]: false +#521 := [lemma #520]: #87 +#323 := (or #88 #321) +#314 := [def-axiom]: #323 +#542 := [unit-resolution #314 #521]: #321 +#511 := (= #78 f8) +#325 := (f3 f4 #12) +#326 := (= #325 f8) +#307 := (or #328 #326) +#642 := [quant-inst #11]: #307 +#543 := [unit-resolution #642 #656]: #326 +#510 := (= #78 #325) +#504 := (= #73 #12) +#392 := (= #12 #73) +#347 := (<= #67 0::Int) +#270 := (= #67 0::Int) +#633 := (or #88 #270) #36 := (= #31 0::Int) -#173 := (or #161 #36) -#622 := (forall (vars (?v0 Int)) (:pat #615) #173) -#176 := (forall (vars (?v0 Int)) #173) -#625 := (iff #176 #622) -#623 := (iff #173 #173) -#624 := [refl]: #623 -#626 := [quant-intro #624]: #625 -#190 := (~ #176 #176) -#188 := (~ #173 #173) -#189 := [refl]: #188 -#191 := [nnf-pos #189]: #190 -#104 := (or #29 #36) -#109 := (forall (vars (?v0 Int)) #104) -#177 := (iff #109 #176) -#174 := (iff #104 #173) -#175 := [monotonicity #162]: #174 -#178 := [quant-intro #175]: #177 +#149 := (or #118 #36) +#664 := (forall (vars (?v0 Int)) (:pat #657) #149) +#152 := (forall (vars (?v0 Int)) #149) +#667 := (iff #152 #664) +#665 := (iff #149 #149) +#666 := [refl]: #665 +#668 := [quant-intro #666]: #667 +#165 := (~ #152 #152) +#173 := (~ #149 #149) +#174 := [refl]: #173 +#166 := [nnf-pos #174]: #165 #35 := (< #28 0::Int) #37 := (implies #35 #36) #38 := (forall (vars (?v0 Int)) #37) -#110 := (iff #38 #109) -#107 := (iff #37 #104) -#101 := (implies #87 #36) -#105 := (iff #101 #104) -#106 := [rewrite]: #105 -#102 := (iff #37 #101) -#96 := (iff #35 #87) -#98 := (iff #87 #87) -#99 := [monotonicity #84]: #98 -#97 := [rewrite]: #96 -#100 := [trans #97 #99]: #96 -#103 := [monotonicity #100]: #102 -#108 := [trans #103 #106]: #107 -#111 := [quant-intro #108]: #110 -#43 := [asserted]: #38 -#112 := [mp #43 #111]: #109 -#179 := [mp #112 #178]: #176 -#192 := [mp~ #179 #191]: #176 -#627 := [mp #192 #626]: #622 -#234 := (not #622) -#594 := (or #234 #144 #228) -#592 := (or #234 #591) -#581 := (iff #592 #594) -#582 := [rewrite]: #581 -#595 := [quant-inst #49]: #592 -#304 := [mp #595 #582]: #594 -#485 := [unit-resolution #304 #627]: #591 -#491 := [unit-resolution #485 #478]: #228 -#479 := (not #228) -#480 := (or #479 #305) -#481 := [th-lemma arith triangle-eq]: #480 -#476 := [unit-resolution #481 #491]: #305 -#306 := (>= #55 0::Int) -#482 := (or #479 #306) -#455 := [th-lemma arith triangle-eq]: #482 -#456 := [unit-resolution #455 #491]: #306 -#350 := [th-lemma arith eq-propagate 1 1 #456 #476]: #457 -#462 := [symm #350]: #461 -#468 := [monotonicity #462]: #463 -#469 := [trans #468 #500]: #466 -#470 := [trans #469 #499]: #149 -[unit-resolution #157 #470]: false -f4628a2370e422e0b0b89be90bd88f22cd742f4d 493 0 -unsat +#155 := (iff #38 #152) +#133 := (not #35) +#134 := (or #133 #36) +#137 := (forall (vars (?v0 Int)) #134) +#153 := (iff #137 #152) +#150 := (iff #134 #149) +#147 := (iff #133 #118) +#142 := (not #120) +#145 := (iff #142 #118) +#146 := [rewrite]: #145 +#143 := (iff #133 #142) +#140 := (iff #35 #120) +#141 := [rewrite]: #140 +#144 := [monotonicity #141]: #143 +#148 := [trans #144 #146]: #147 +#151 := [monotonicity #148]: #150 +#154 := [quant-intro #151]: #153 +#138 := (iff #38 #137) +#135 := (iff #37 #134) +#136 := [rewrite]: #135 +#139 := [quant-intro #136]: #138 +#156 := [trans #139 #154]: #155 +#132 := [asserted]: #38 +#157 := [mp #132 #156]: #152 +#175 := [mp~ #157 #166]: #152 +#669 := [mp #175 #668]: #664 +#276 := (not #664) +#636 := (or #276 #88 #270) +#634 := (or #276 #633) +#623 := (iff #634 #636) +#624 := [rewrite]: #623 +#637 := [quant-inst #61]: #634 +#346 := [mp #637 #624]: #636 +#533 := [unit-resolution #346 #669]: #633 +#519 := [unit-resolution #533 #521]: #270 +#522 := (not #270) +#523 := (or #522 #347) +#518 := [th-lemma arith triangle-eq]: #523 +#524 := [unit-resolution #518 #519]: #347 +#348 := (>= #67 0::Int) +#497 := (or #522 #348) +#498 := [th-lemma arith triangle-eq]: #497 +#499 := [unit-resolution #498 #519]: #348 +#503 := [th-lemma arith eq-propagate 1 1 #499 #524]: #392 +#505 := [symm #503]: #504 +#506 := [monotonicity #505]: #510 +#512 := [trans #506 #543]: #511 +#513 := [trans #512 #542]: #99 +[unit-resolution #107 #513]: false +unsat +fb9388a38938cbf21b6b2ff0332cf8b767f78d03 468 0 #2 := false #30 := 0::Int decl f5 :: (-> S4 S3 Int) @@ -11967,268 +10974,257 @@ decl f6 :: S4 #8 := f6 #12 := (f5 f6 f8) -#50 := -1::Int -#51 := (* -1::Int #12) +#62 := -1::Int +#63 := (* -1::Int #12) decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#52 := (+ #10 #51) -decl f4 :: S2 -#7 := f4 -#55 := (f3 f4 #52) -#58 := (f5 f6 #55) -#604 := (* -1::Int #58) -#610 := (+ #10 #51 #604) -#609 := (= #610 0::Int) -#455 := (not #609) -#587 := (>= #610 0::Int) -#330 := (not #587) +#64 := (+ #10 #63) +decl f4 :: S2 +#7 := f4 +#67 := (f3 f4 #64) +#70 := (f5 f6 #67) +#640 := (* -1::Int #70) +#630 := (+ #63 #640) +#290 := (+ #10 #630) +#639 := (= #290 0::Int) +#491 := (not #639) +#623 := (>= #290 0::Int) +#347 := (not #623) decl f9 :: S3 #16 := f9 #17 := (f5 f6 f9) -#64 := (* -1::Int #17) -#83 := (+ #10 #51 #64) -#548 := (>= #83 0::Int) -#550 := (not #548) -#90 := (f3 f4 #83) -#148 := (+ #64 #58) -#151 := (f3 f4 #148) -#154 := (= #151 #90) -#551 := (f5 f6 #90) -#492 := (f3 f4 #551) -#493 := (= #492 #90) +#76 := (* -1::Int #17) +#85 := (+ #63 #76) +#86 := (+ #10 #85) +#581 := (>= #86 0::Int) +#579 := (not #581) +#89 := (f3 f4 #86) +#77 := (+ #76 #70) +#82 := (f3 f4 #77) +#92 := (= #82 #89) +#582 := (f5 f6 #89) +#510 := (f3 f4 #582) +#506 := (= #510 #89) #25 := (:var 0 S3) #26 := (f5 f6 #25) -#611 := (pattern #26) +#641 := (pattern #26) #27 := (f3 f4 #26) #28 := (= #27 #25) -#612 := (forall (vars (?v0 S3)) (:pat #611) #28) +#642 := (forall (vars (?v0 S3)) (:pat #641) #28) #29 := (forall (vars (?v0 S3)) #28) -#615 := (iff #29 #612) -#613 := (iff #28 #28) -#614 := [refl]: #613 -#616 := [quant-intro #614]: #615 -#185 := (~ #29 #29) +#645 := (iff #29 #642) +#643 := (iff #28 #28) +#644 := [refl]: #643 +#646 := [quant-intro #644]: #645 +#162 := (~ #29 #29) #160 := (~ #28 #28) #161 := [refl]: #160 -#186 := [nnf-pos #161]: #185 -#44 := [asserted]: #29 -#189 := [mp~ #44 #186]: #29 -#617 := [mp #189 #616]: #612 -#284 := (not #612) -#441 := (or #284 #493) -#442 := [quant-inst #90]: #441 -#410 := [unit-resolution #442 #617]: #493 -#423 := (= #151 #492) -#335 := (= #148 #551) -#436 := (* -1::Int #551) -#395 := (+ #10 #51 #64 #436) -#545 := (<= #395 0::Int) -#435 := (= #395 0::Int) -#381 := [hypothesis]: #548 -#445 := (or #550 #435) +#163 := [nnf-pos #161]: #162 +#98 := [asserted]: #29 +#152 := [mp~ #98 #163]: #29 +#647 := [mp #152 #646]: #642 +#314 := (not #642) +#463 := (or #314 #506) +#484 := [quant-inst #89]: #463 +#448 := [unit-resolution #484 #647]: #506 +#441 := (= #82 #510) +#369 := (= #77 #582) +#570 := (* -1::Int #582) +#571 := (+ #76 #570) +#574 := (+ #63 #571) +#459 := (+ #10 #574) +#565 := (<= #459 0::Int) +#425 := (= #459 0::Int) +#258 := [hypothesis]: #581 +#475 := (or #579 #425) #31 := (:var 0 Int) #33 := (f3 f4 #31) -#618 := (pattern #33) +#648 := (pattern #33) #34 := (f5 f6 #33) #35 := (= #34 #31) -#164 := (>= #31 0::Int) -#166 := (not #164) -#169 := (or #166 #35) -#619 := (forall (vars (?v0 Int)) (:pat #618) #169) -#172 := (forall (vars (?v0 Int)) #169) -#622 := (iff #172 #619) -#620 := (iff #169 #169) -#621 := [refl]: #620 -#623 := [quant-intro #621]: #622 -#184 := (~ #172 #172) -#190 := (~ #169 #169) -#183 := [refl]: #190 -#187 := [nnf-pos #183]: #184 +#109 := (>= #31 0::Int) +#111 := (not #109) +#114 := (or #111 #35) +#649 := (forall (vars (?v0 Int)) (:pat #648) #114) +#117 := (forall (vars (?v0 Int)) #114) +#652 := (iff #117 #649) +#650 := (iff #114 #114) +#651 := [refl]: #650 +#653 := [quant-intro #651]: #652 +#154 := (~ #117 #117) +#153 := (~ #114 #114) +#150 := [refl]: #153 +#155 := [nnf-pos #150]: #154 #32 := (<= 0::Int #31) -#104 := (not #32) -#105 := (or #104 #35) -#109 := (forall (vars (?v0 Int)) #105) -#173 := (iff #109 #172) -#170 := (iff #105 #169) -#167 := (iff #104 #166) -#163 := (iff #32 #164) -#165 := [rewrite]: #163 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [quant-intro #171]: #173 #36 := (implies #32 #35) #37 := (forall (vars (?v0 Int)) #36) -#110 := (iff #37 #109) -#106 := (iff #36 #105) -#107 := [rewrite]: #106 -#102 := (iff #36 #36) -#100 := (iff #32 #32) -#101 := [rewrite]: #100 -#103 := [monotonicity #101]: #102 -#108 := [trans #103 #107]: #106 -#111 := [quant-intro #108]: #110 -#45 := [asserted]: #37 -#112 := [mp #45 #111]: #109 -#175 := [mp #112 #174]: #172 -#188 := [mp~ #175 #187]: #172 -#624 := [mp #188 #623]: #619 -#261 := (not #619) -#544 := (or #261 #550 #435) -#549 := (= #551 #83) -#552 := (or #550 #549) -#429 := (or #261 #552) -#450 := (iff #429 #544) -#446 := (or #261 #445) -#448 := (iff #446 #544) -#449 := [rewrite]: #448 -#447 := (iff #429 #446) -#540 := (iff #552 #445) -#434 := (iff #549 #435) -#543 := [rewrite]: #434 -#541 := [monotonicity #543]: #540 -#440 := [monotonicity #541]: #447 -#451 := [trans #440 #449]: #450 -#444 := [quant-inst #83]: #429 -#452 := [mp #444 #451]: #544 -#464 := [unit-resolution #452 #624]: #445 -#352 := [unit-resolution #464 #381]: #435 -#466 := (not #435) -#399 := (or #466 #545) -#400 := [th-lemma arith triangle-eq]: #399 -#354 := [unit-resolution #400 #352]: #545 -#542 := (>= #395 0::Int) -#471 := (or #466 #542) -#467 := [th-lemma arith triangle-eq]: #471 -#355 := [unit-resolution #467 #352]: #542 -#592 := (<= #610 0::Int) -#392 := (>= #52 0::Int) -#528 := (>= #551 0::Int) -#358 := (not #545) -#359 := (or #528 #358 #550) -#363 := [th-lemma arith assign-bounds 1 -1]: #359 -#356 := [unit-resolution #363 #354 #381]: #528 -#473 := (not #542) -#472 := (not #528) -#360 := (or #392 #472 #473) -#535 := (>= #17 0::Int) -#380 := (= #17 0::Int) -#196 := (f3 f4 #17) -#527 := (f5 f6 #196) -#529 := (= #527 0::Int) -#387 := (not #535) -#366 := [hypothesis]: #387 -#530 := (or #535 #529) +#120 := (iff #37 #117) +#101 := (not #32) +#102 := (or #101 #35) +#105 := (forall (vars (?v0 Int)) #102) +#118 := (iff #105 #117) +#115 := (iff #102 #114) +#112 := (iff #101 #111) +#108 := (iff #32 #109) +#110 := [rewrite]: #108 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [quant-intro #116]: #118 +#106 := (iff #37 #105) +#103 := (iff #36 #102) +#104 := [rewrite]: #103 +#107 := [quant-intro #104]: #106 +#121 := [trans #107 #119]: #120 +#99 := [asserted]: #37 +#122 := [mp #99 #121]: #117 +#151 := [mp~ #122 #155]: #117 +#654 := [mp #151 #653]: #649 +#632 := (not #649) +#477 := (or #632 #579 #425) +#464 := (= #582 #86) +#465 := (or #579 #464) +#470 := (or #632 #465) +#572 := (iff #470 #477) +#479 := (or #632 #475) +#482 := (iff #479 #477) +#575 := [rewrite]: #482 +#480 := (iff #470 #479) +#474 := (iff #465 #475) +#466 := (iff #464 #425) +#573 := [rewrite]: #466 +#476 := [monotonicity #573]: #474 +#481 := [monotonicity #476]: #480 +#576 := [trans #481 #575]: #572 +#478 := [quant-inst #86]: #470 +#563 := [mp #478 #576]: #477 +#497 := [unit-resolution #563 #654]: #475 +#389 := [unit-resolution #497 #258]: #425 +#499 := (not #425) +#434 := (or #499 #565) +#435 := [th-lemma arith triangle-eq]: #434 +#393 := [unit-resolution #435 #389]: #565 +#557 := (>= #459 0::Int) +#502 := (or #499 #557) +#503 := [th-lemma arith triangle-eq]: #502 +#386 := [unit-resolution #503 #389]: #557 +#617 := (<= #290 0::Int) +#422 := (>= #64 0::Int) +#555 := (>= #582 0::Int) +#394 := (not #565) +#387 := (or #555 #394 #579) +#390 := [th-lemma arith assign-bounds 1 -1]: #387 +#391 := [unit-resolution #390 #393 #258]: #555 +#485 := (not #557) +#505 := (not #555) +#380 := (or #422 #505 #485) +#566 := (>= #17 0::Int) +#415 := (= #17 0::Int) +#227 := (f3 f4 #17) +#567 := (f5 f6 #227) +#562 := (= #567 0::Int) +#405 := (not #566) +#406 := [hypothesis]: #405 +#546 := (or #566 #562) #39 := (= #34 0::Int) -#176 := (or #164 #39) -#625 := (forall (vars (?v0 Int)) (:pat #618) #176) -#179 := (forall (vars (?v0 Int)) #176) -#628 := (iff #179 #625) -#626 := (iff #176 #176) -#627 := [refl]: #626 -#629 := [quant-intro #627]: #628 -#193 := (~ #179 #179) -#191 := (~ #176 #176) -#192 := [refl]: #191 -#194 := [nnf-pos #192]: #193 -#121 := (or #32 #39) -#126 := (forall (vars (?v0 Int)) #121) -#180 := (iff #126 #179) -#177 := (iff #121 #176) -#178 := [monotonicity #165]: #177 -#181 := [quant-intro #178]: #180 +#140 := (or #109 #39) +#655 := (forall (vars (?v0 Int)) (:pat #648) #140) +#143 := (forall (vars (?v0 Int)) #140) +#658 := (iff #143 #655) +#656 := (iff #140 #140) +#657 := [refl]: #656 +#659 := [quant-intro #657]: #658 +#156 := (~ #143 #143) +#164 := (~ #140 #140) +#165 := [refl]: #164 +#157 := [nnf-pos #165]: #156 #38 := (< #31 0::Int) #40 := (implies #38 #39) #41 := (forall (vars (?v0 Int)) #40) -#127 := (iff #41 #126) -#124 := (iff #40 #121) -#118 := (implies #104 #39) -#122 := (iff #118 #121) -#123 := [rewrite]: #122 -#119 := (iff #40 #118) -#113 := (iff #38 #104) -#115 := (iff #104 #104) -#116 := [monotonicity #101]: #115 -#114 := [rewrite]: #113 -#117 := [trans #114 #116]: #113 -#120 := [monotonicity #117]: #119 -#125 := [trans #120 #123]: #124 -#128 := [quant-intro #125]: #127 -#46 := [asserted]: #41 -#129 := [mp #46 #128]: #126 -#182 := [mp #129 #181]: #179 -#195 := [mp~ #182 #194]: #179 -#630 := [mp #195 #629]: #625 -#236 := (not #625) -#532 := (or #236 #535 #529) -#516 := (or #236 #530) -#519 := (iff #516 #532) -#520 := [rewrite]: #519 -#517 := [quant-inst #17]: #516 -#521 := [mp #517 #520]: #532 -#369 := [unit-resolution #521 #630]: #530 -#373 := [unit-resolution #369 #366]: #529 -#377 := (= #17 #527) -#376 := (= f9 #196) -#282 := (= #196 f9) -#275 := (or #284 #282) -#286 := [quant-inst #16]: #275 -#375 := [unit-resolution #286 #617]: #282 -#374 := [symm #375]: #376 -#365 := [monotonicity #374]: #377 -#368 := [trans #365 #373]: #380 -#370 := (not #380) -#371 := (or #370 #535) -#367 := [th-lemma arith triangle-eq]: #371 -#372 := [unit-resolution #367 #366 #368]: false -#362 := [lemma #372]: #535 -#364 := (or #387 #392 #472 #473) -#357 := [th-lemma arith assign-bounds 1 1 1]: #364 -#361 := [unit-resolution #357 #362]: #360 -#347 := [unit-resolution #361 #356 #355]: #392 -#599 := (not #392) -#260 := (or #599 #609) -#602 := (or #261 #599 #609) -#606 := (= #58 #52) -#607 := (or #599 #606) -#245 := (or #261 #607) -#589 := (iff #245 #602) -#249 := (or #261 #260) -#252 := (iff #249 #602) -#588 := [rewrite]: #252 -#250 := (iff #245 #249) -#265 := (iff #607 #260) -#608 := (iff #606 #609) -#600 := [rewrite]: #608 -#601 := [monotonicity #600]: #265 -#251 := [monotonicity #601]: #250 -#590 := [trans #251 #588]: #589 -#586 := [quant-inst #52]: #245 -#591 := [mp #586 #590]: #602 -#461 := [unit-resolution #591 #624]: #260 -#349 := [unit-resolution #461 #347]: #609 -#401 := (or #455 #592) -#456 := [th-lemma arith triangle-eq]: #401 -#350 := [unit-resolution #456 #349]: #592 -#348 := (or #455 #587) -#351 := [th-lemma arith triangle-eq]: #348 -#333 := [unit-resolution #351 #349]: #587 -#336 := [th-lemma arith eq-propagate 1 1 -1 -1 #333 #350 #355 #354]: #335 -#337 := [monotonicity #336]: #423 -#338 := [trans #337 #410]: #154 -#157 := (not #154) -#65 := (+ #58 #64) -#70 := (f3 f4 #65) -#93 := (= #70 #90) -#96 := (not #93) -#158 := (iff #96 #157) -#155 := (iff #93 #154) -#152 := (= #70 #151) -#149 := (= #65 #148) -#150 := [rewrite]: #149 -#153 := [monotonicity #150]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 +#146 := (iff #41 #143) +#124 := (not #38) +#125 := (or #124 #39) +#128 := (forall (vars (?v0 Int)) #125) +#144 := (iff #128 #143) +#141 := (iff #125 #140) +#138 := (iff #124 #109) +#133 := (not #111) +#136 := (iff #133 #109) +#137 := [rewrite]: #136 +#134 := (iff #124 #133) +#131 := (iff #38 #111) +#132 := [rewrite]: #131 +#135 := [monotonicity #132]: #134 +#139 := [trans #135 #137]: #138 +#142 := [monotonicity #139]: #141 +#145 := [quant-intro #142]: #144 +#129 := (iff #41 #128) +#126 := (iff #40 #125) +#127 := [rewrite]: #126 +#130 := [quant-intro #127]: #129 +#147 := [trans #130 #145]: #146 +#123 := [asserted]: #41 +#148 := [mp #123 #147]: #143 +#166 := [mp~ #148 #157]: #143 +#660 := [mp #166 #659]: #655 +#267 := (not #655) +#550 := (or #267 #566 #562) +#551 := (or #267 #546) +#548 := (iff #551 #550) +#553 := [rewrite]: #548 +#552 := [quant-inst #17]: #551 +#539 := [mp #552 #553]: #550 +#404 := [unit-resolution #539 #660]: #546 +#407 := [unit-resolution #404 #406]: #562 +#401 := (= #17 #567) +#398 := (= f9 #227) +#312 := (= #227 f9) +#305 := (or #314 #312) +#316 := [quant-inst #16]: #305 +#395 := [unit-resolution #316 #647]: #312 +#400 := [symm #395]: #398 +#397 := [monotonicity #400]: #401 +#402 := [trans #397 #407]: #415 +#392 := (not #415) +#382 := (or #392 #566) +#384 := [th-lemma arith triangle-eq]: #382 +#385 := [unit-resolution #384 #406 #402]: false +#388 := [lemma #385]: #566 +#377 := (or #405 #422 #505 #485) +#379 := [th-lemma arith assign-bounds 1 1 1]: #377 +#378 := [unit-resolution #379 #388]: #380 +#381 := [unit-resolution #378 #391 #386]: #422 +#629 := (not #422) +#295 := (or #629 #639) +#275 := (or #632 #629 #639) +#636 := (= #70 #64) +#637 := (or #629 #636) +#616 := (or #632 #637) +#620 := (iff #616 #275) +#280 := (or #632 #295) +#618 := (iff #280 #275) +#619 := [rewrite]: #618 +#281 := (iff #616 #280) +#631 := (iff #637 #295) +#638 := (iff #636 #639) +#634 := [rewrite]: #638 +#291 := [monotonicity #634]: #631 +#282 := [monotonicity #291]: #281 +#621 := [trans #282 #619]: #620 +#279 := [quant-inst #64]: #616 +#622 := [mp #279 #621]: #275 +#461 := [unit-resolution #622 #654]: #295 +#363 := [unit-resolution #461 #381]: #639 +#492 := (or #491 #617) +#487 := [th-lemma arith triangle-eq]: #492 +#365 := [unit-resolution #487 #363]: #617 +#366 := (or #491 #623) +#367 := [th-lemma arith triangle-eq]: #366 +#368 := [unit-resolution #367 #363]: #623 +#370 := [th-lemma arith eq-propagate 1 1 -1 -1 #368 #365 #386 #393]: #369 +#371 := [monotonicity #370]: #441 +#372 := [trans #371 #448]: #92 +#95 := (not #92) #20 := (+ #12 #17) #21 := (- #10 #20) #22 := (f3 f4 #21) @@ -12239,219 +11235,205 @@ #19 := (f3 f4 #18) #23 := (= #19 #22) #24 := (not #23) -#97 := (iff #24 #96) -#94 := (iff #23 #93) -#91 := (= #22 #90) -#88 := (= #21 #83) -#73 := (* -1::Int #20) -#74 := (+ #10 #73) -#86 := (= #74 #83) -#77 := (+ #51 #64) -#80 := (+ #10 #77) -#84 := (= #80 #83) -#85 := [rewrite]: #84 -#81 := (= #74 #80) +#96 := (iff #24 #95) +#93 := (iff #23 #92) +#90 := (= #22 #89) +#87 := (= #21 #86) +#88 := [rewrite]: #87 +#91 := [monotonicity #88]: #90 +#83 := (= #19 #82) +#80 := (= #18 #77) +#73 := (- #70 #17) #78 := (= #73 #77) #79 := [rewrite]: #78 -#82 := [monotonicity #79]: #81 -#87 := [trans #82 #85]: #86 -#75 := (= #21 #74) -#76 := [rewrite]: #75 -#89 := [trans #76 #87]: #88 -#92 := [monotonicity #89]: #91 -#71 := (= #19 #70) -#68 := (= #18 #65) -#61 := (- #58 #17) -#66 := (= #61 #65) -#67 := [rewrite]: #66 -#62 := (= #18 #61) -#59 := (= #15 #58) -#56 := (= #14 #55) -#53 := (= #13 #52) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60]: #62 -#69 := [trans #63 #67]: #68 +#74 := (= #18 #73) +#71 := (= #15 #70) +#68 := (= #14 #67) +#65 := (= #13 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 #72 := [monotonicity #69]: #71 -#95 := [monotonicity #72 #92]: #94 -#98 := [monotonicity #95]: #97 -#43 := [asserted]: #24 -#99 := [mp #43 #98]: #96 -#162 := [mp #99 #159]: #157 -#339 := [unit-resolution #162 #338]: false -#340 := [lemma #339]: #550 -#309 := (f5 f6 #151) -#547 := (>= #309 0::Int) -#580 := (+ #17 #604) -#581 := (<= #580 0::Int) -#546 := (= #551 0::Int) -#479 := (not #546) -#571 := (= #309 0::Int) -#578 := (not #581) -#484 := [hypothesis]: #578 -#413 := (or #581 #571) -#557 := (or #236 #581 #571) -#594 := (>= #148 0::Int) -#412 := (or #594 #571) -#558 := (or #236 #412) -#562 := (iff #558 #557) -#553 := (or #236 #413) -#561 := (iff #553 #557) -#555 := [rewrite]: #561 -#554 := (iff #558 #553) -#414 := (iff #412 #413) -#303 := (iff #594 #581) -#304 := [rewrite]: #303 -#556 := [monotonicity #304]: #414 -#560 := [monotonicity #556]: #554 -#391 := [trans #560 #555]: #562 -#559 := [quant-inst #148]: #558 -#393 := [mp #559 #391]: #557 -#415 := [unit-resolution #393 #630]: #413 -#416 := [unit-resolution #415 #484]: #571 -#411 := (not #571) -#427 := (or #479 #411) -#507 := (f3 f4 #309) -#421 := (= #507 #492) -#417 := (= #492 #507) -#454 := (= #551 #309) -#453 := (= 0::Int #309) -#478 := [hypothesis]: #571 -#433 := [symm #478]: #453 -#443 := [hypothesis]: #546 -#409 := [trans #443 #433]: #454 -#418 := [monotonicity #409]: #417 -#422 := [symm #418]: #421 -#419 := (= #151 #507) -#497 := (= #507 #151) -#488 := (or #284 #497) -#494 := [quant-inst #151]: #488 -#477 := [unit-resolution #494 #617]: #497 -#420 := [symm #477]: #419 -#424 := [trans #420 #422]: #423 -#425 := [trans #424 #410]: #154 -#426 := [unit-resolution #162 #425]: false -#388 := [lemma #426]: #427 -#389 := [unit-resolution #388 #416]: #479 -#533 := (or #548 #546) -#524 := (or #236 #548 #546) -#526 := (or #236 #533) -#537 := (iff #526 #524) -#538 := [rewrite]: #537 -#536 := [quant-inst #83]: #526 -#534 := [mp #536 #538]: #524 -#460 := [unit-resolution #534 #630]: #533 -#396 := [unit-resolution #460 #389]: #548 -#398 := [unit-resolution #464 #396]: #435 -#402 := [unit-resolution #400 #398]: #545 -#539 := (<= #551 0::Int) -#432 := (or #539 #581) -#308 := (>= #58 0::Int) -#593 := (= #58 0::Int) -#469 := (not #592) -#480 := (not #539) -#476 := [hypothesis]: #480 -#481 := (or #528 #539) -#482 := [th-lemma arith farkas 1 1]: #481 -#483 := [unit-resolution #482 #476]: #528 -#485 := (or #479 #539) -#458 := [th-lemma arith triangle-eq]: #485 -#459 := [unit-resolution #458 #476]: #479 -#353 := [unit-resolution #460 #459]: #548 -#465 := [unit-resolution #464 #353]: #435 -#468 := [unit-resolution #467 #465]: #542 -#474 := (or #469 #581 #472 #473) -#470 := [th-lemma arith assign-bounds 1 1 -1]: #474 -#475 := [unit-resolution #470 #468 #484 #483]: #469 -#437 := [unit-resolution #456 #475]: #455 -#462 := [unit-resolution #461 #437]: #599 -#231 := (or #392 #593) -#237 := (or #236 #392 #593) -#597 := (or #236 #231) -#598 := (iff #597 #237) -#584 := [rewrite]: #598 -#595 := [quant-inst #52]: #597 -#585 := [mp #595 #584]: #237 -#457 := [unit-resolution #585 #630]: #231 -#463 := [unit-resolution #457 #462]: #593 -#431 := (not #593) -#438 := (or #431 #308) -#397 := [th-lemma arith triangle-eq]: #438 -#428 := [unit-resolution #397 #463]: #308 -#430 := [th-lemma arith farkas 1 1 1 1 1 #484 #462 #483 #468 #428]: false -#439 := [lemma #430]: #432 -#403 := [unit-resolution #439 #484]: #539 -#404 := (or #546 #480 #472) -#405 := [th-lemma arith triangle-eq]: #404 -#406 := [unit-resolution #405 #389 #403]: #472 -#407 := [th-lemma arith farkas 1 -1 1 #406 #396 #402]: false -#390 := [lemma #407]: #581 -#583 := (+ #17 #604 #309) -#565 := (>= #583 0::Int) -#293 := (= #583 0::Int) -#296 := (or #578 #293) -#290 := (or #261 #578 #293) -#310 := (= #309 #148) -#596 := (not #594) -#203 := (or #596 #310) -#572 := (or #261 #203) -#563 := (iff #572 #290) -#573 := (or #261 #296) -#567 := (iff #573 #290) -#568 := [rewrite]: #567 -#577 := (iff #572 #573) -#574 := (iff #203 #296) -#294 := (iff #310 #293) -#295 := [rewrite]: #294 -#582 := (iff #596 #578) -#579 := [monotonicity #304]: #582 -#575 := [monotonicity #579 #295]: #574 -#566 := [monotonicity #575]: #577 -#564 := [trans #566 #568]: #563 -#576 := [quant-inst #148]: #572 -#569 := [mp #576 #564]: #290 -#341 := [unit-resolution #569 #624]: #296 -#342 := [unit-resolution #341 #390]: #293 -#343 := (not #293) -#344 := (or #343 #565) +#75 := [monotonicity #72]: #74 +#81 := [trans #75 #79]: #80 +#84 := [monotonicity #81]: #83 +#94 := [monotonicity #84 #91]: #93 +#97 := [monotonicity #94]: #96 +#61 := [asserted]: #24 +#100 := [mp #61 #97]: #95 +#373 := [unit-resolution #100 #372]: false +#374 := [lemma #373]: #579 +#340 := (f5 f6 #82) +#580 := (>= #340 0::Int) +#611 := (+ #17 #640) +#333 := (<= #611 0::Int) +#554 := (= #582 0::Int) +#490 := (not #554) +#443 := (= #340 0::Int) +#612 := (not #333) +#489 := [hypothesis]: #612 +#586 := (or #333 #443) +#589 := (or #267 #333 #443) +#626 := (>= #77 0::Int) +#444 := (or #626 #443) +#583 := (or #267 #444) +#423 := (iff #583 #589) +#590 := (or #267 #586) +#592 := (iff #590 #589) +#421 := [rewrite]: #592 +#591 := (iff #583 #590) +#587 := (iff #444 #586) +#334 := (iff #626 #333) +#608 := [rewrite]: #334 +#588 := [monotonicity #608]: #587 +#585 := [monotonicity #588]: #591 +#424 := [trans #585 #421]: #423 +#584 := [quant-inst #77]: #583 +#577 := [mp #584 #424]: #589 +#449 := [unit-resolution #577 #660]: #586 +#450 := [unit-resolution #449 #489]: #443 +#426 := (not #443) +#428 := (or #490 #426) +#517 := (f3 f4 #340) +#455 := (= #517 #510) +#451 := (= #510 #517) +#446 := (= #582 #340) +#440 := (= 0::Int #340) +#514 := [hypothesis]: #443 +#445 := [symm #514]: #440 +#439 := [hypothesis]: #554 +#447 := [trans #439 #445]: #446 +#452 := [monotonicity #447]: #451 +#456 := [symm #452]: #455 +#453 := (= #82 #517) +#519 := (= #517 #82) +#507 := (or #314 #519) +#508 := [quant-inst #82]: #507 +#513 := [unit-resolution #508 #647]: #519 +#454 := [symm #513]: #453 +#457 := [trans #454 #456]: #441 +#418 := [trans #457 #448]: #92 +#419 := [unit-resolution #100 #418]: false +#429 := [lemma #419]: #428 +#430 := [unit-resolution #429 #450]: #490 +#556 := (or #581 #554) +#568 := (or #267 #581 #554) +#564 := (or #267 #556) +#558 := (iff #564 #568) +#559 := [rewrite]: #558 +#569 := [quant-inst #86]: #564 +#560 := [mp #569 #559]: #568 +#496 := [unit-resolution #560 #660]: #556 +#432 := [unit-resolution #496 #430]: #581 +#433 := [unit-resolution #497 #432]: #425 +#436 := [unit-resolution #435 #433]: #565 +#561 := (<= #582 0::Int) +#473 := (or #561 #333) +#339 := (>= #70 0::Int) +#261 := (= #70 0::Int) +#500 := (not #617) +#511 := (not #561) +#512 := [hypothesis]: #511 +#509 := (or #555 #561) +#515 := [th-lemma arith farkas 1 1]: #509 +#488 := [unit-resolution #515 #512]: #555 +#383 := (or #490 #561) +#494 := [th-lemma arith triangle-eq]: #383 +#495 := [unit-resolution #494 #512]: #490 +#501 := [unit-resolution #496 #495]: #581 +#498 := [unit-resolution #497 #501]: #425 +#504 := [unit-resolution #503 #498]: #557 +#431 := (or #500 #333 #505 #485) +#486 := [th-lemma arith assign-bounds 1 1 -1]: #431 +#467 := [unit-resolution #486 #504 #489 #488]: #500 +#493 := [unit-resolution #487 #467]: #491 +#468 := [unit-resolution #461 #493]: #629 +#624 := (or #422 #261) +#627 := (or #267 #422 #261) +#625 := (or #267 #624) +#614 := (iff #625 #627) +#615 := [rewrite]: #614 +#628 := [quant-inst #64]: #625 +#337 := [mp #628 #615]: #627 +#427 := [unit-resolution #337 #660]: #624 +#458 := [unit-resolution #427 #468]: #261 +#460 := (not #261) +#462 := (or #460 #339) +#469 := [th-lemma arith triangle-eq]: #462 +#471 := [unit-resolution #469 #458]: #339 +#472 := [th-lemma arith farkas 1 1 1 1 1 #489 #468 #488 #504 #471]: false +#483 := [lemma #472]: #473 +#437 := [unit-resolution #483 #489]: #561 +#420 := (or #554 #511 #505) +#438 := [th-lemma arith triangle-eq]: #420 +#408 := [unit-resolution #438 #430 #437]: #505 +#409 := [th-lemma arith farkas 1 -1 1 #408 #432 #436]: false +#410 := [lemma #409]: #333 +#323 := (+ #640 #340) +#324 := (+ #17 #323) +#442 := (>= #324 0::Int) +#325 := (= #324 0::Int) +#605 := (or #612 #325) +#606 := (or #632 #612 #325) +#234 := (= #340 #77) +#266 := (not #626) +#610 := (or #266 #234) +#603 := (or #632 #610) +#599 := (iff #603 #606) +#596 := (or #632 #605) +#593 := (iff #596 #606) +#594 := [rewrite]: #593 +#597 := (iff #603 #596) +#320 := (iff #610 #605) +#326 := (iff #234 #325) +#604 := [rewrite]: #326 +#609 := (iff #266 #612) +#613 := [monotonicity #608]: #609 +#602 := [monotonicity #613 #604]: #320 +#598 := [monotonicity #602]: #597 +#600 := [trans #598 #594]: #599 +#607 := [quant-inst #77]: #603 +#595 := [mp #607 #600]: #606 +#375 := [unit-resolution #595 #654]: #605 +#364 := [unit-resolution #375 #410]: #325 +#376 := (not #325) +#353 := (or #376 #442) +#355 := [th-lemma arith triangle-eq]: #353 +#356 := [unit-resolution #355 #364]: #442 +#357 := (not #442) +#358 := (or #580 #357 #612) +#359 := [th-lemma arith assign-bounds 1 -1]: #358 +#360 := [unit-resolution #359 #356 #410]: #580 +#601 := (<= #324 0::Int) +#361 := (or #376 #601) +#354 := [th-lemma arith triangle-eq]: #361 +#362 := [unit-resolution #354 #364]: #601 +#349 := (not #601) +#348 := (not #580) +#351 := (or #347 #581 #348 #349) +#350 := [th-lemma arith assign-bounds 1 1 -1]: #351 +#352 := [unit-resolution #350 #362 #360 #374]: #347 +#341 := [unit-resolution #367 #352]: #491 +#338 := (<= #70 0::Int) +#328 := (not #338) +#578 := (<= #340 0::Int) +#335 := (not #578) +#342 := [unit-resolution #496 #374]: #554 +#343 := [unit-resolution #429 #342]: #426 +#336 := (or #443 #335) +#344 := (or #443 #335 #348) #345 := [th-lemma arith triangle-eq]: #344 -#334 := [unit-resolution #345 #342]: #565 -#346 := (not #565) -#323 := (or #547 #346 #578) -#325 := [th-lemma arith assign-bounds 1 -1]: #323 -#326 := [unit-resolution #325 #334 #390]: #547 -#570 := (<= #583 0::Int) -#327 := (or #343 #570) -#328 := [th-lemma arith triangle-eq]: #327 -#329 := [unit-resolution #328 #342]: #570 -#324 := (not #570) -#331 := (not #547) -#332 := (or #330 #548 #331 #324) -#317 := [th-lemma arith assign-bounds 1 1 -1]: #332 -#318 := [unit-resolution #317 #329 #326 #340]: #330 -#319 := [unit-resolution #351 #318]: #455 -#307 := (<= #58 0::Int) -#315 := (not #307) -#394 := (<= #309 0::Int) -#322 := (not #394) -#321 := [unit-resolution #460 #340]: #546 -#320 := [unit-resolution #388 #321]: #411 -#313 := (or #571 #322) -#311 := (or #571 #322 #331) -#312 := [th-lemma arith triangle-eq]: #311 -#305 := [unit-resolution #312 #326]: #313 -#314 := [unit-resolution #305 #320]: #322 -#306 := (or #315 #387 #394 #324) -#316 := [th-lemma arith assign-bounds -1 -1 1]: #306 -#297 := [unit-resolution #316 #329 #314 #362]: #315 -#298 := (or #431 #307) -#299 := [th-lemma arith triangle-eq]: #298 -#291 := [unit-resolution #299 #297]: #431 -#300 := [unit-resolution #457 #291]: #392 -[unit-resolution #461 #300 #319]: false -9dcff463b5dde1dc69fdd0a078b0bc4466ce47fc 37 0 -unsat +#346 := [unit-resolution #345 #360]: #336 +#327 := [unit-resolution #346 #343]: #335 +#329 := (or #328 #405 #578 #349) +#321 := [th-lemma arith assign-bounds -1 -1 1]: #329 +#330 := [unit-resolution #321 #362 #327 #388]: #328 +#331 := (or #460 #338) +#322 := [th-lemma arith triangle-eq]: #331 +#332 := [unit-resolution #322 #330]: #460 +#299 := [unit-resolution #427 #332]: #422 +[unit-resolution #461 #299 #341]: false +unsat +c3fe9dd07d48c19f169e86364b6e16e6491742af 37 0 #2 := false decl f3 :: (-> S2 Int S3) #11 := 0::Int @@ -12468,28 +11450,28 @@ #13 := (f3 f4 #12) #15 := (= #13 #14) #16 := (not #15) -#56 := (iff #16 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #16 #51) -#49 := (iff #15 true) -#44 := (= #14 #14) -#47 := (iff #44 true) -#48 := [rewrite]: #47 -#45 := (iff #15 #44) -#41 := (= #12 0::Int) -#42 := [rewrite]: #41 -#43 := [monotonicity #42]: #15 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#34 := [asserted]: #16 -[mp #34 #57]: false -7af90292232e0f0b0c8c0c4509e0eab106814f00 37 0 -unsat +#68 := (iff #16 false) +#1 := true +#63 := (not true) +#66 := (iff #63 false) +#67 := [rewrite]: #66 +#64 := (iff #16 #63) +#61 := (iff #15 true) +#56 := (= #14 #14) +#59 := (iff #56 true) +#60 := [rewrite]: #59 +#57 := (iff #15 #56) +#53 := (= #12 0::Int) +#54 := [rewrite]: #53 +#55 := [monotonicity #54]: #15 +#58 := [monotonicity #55]: #57 +#62 := [trans #58 #60]: #61 +#65 := [monotonicity #62]: #64 +#69 := [trans #65 #67]: #68 +#52 := [asserted]: #16 +[mp #52 #69]: false +unsat +77553bfdf91cbdbb4f547370608d4248384211db 37 0 #2 := false decl f3 :: (-> S2 Int S3) #8 := 0::Int @@ -12506,132 +11488,132 @@ #13 := (f3 f4 #12) #15 := (= #13 #14) #16 := (not #15) -#56 := (iff #16 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #16 #51) -#49 := (iff #15 true) -#44 := (= #14 #14) -#47 := (iff #44 true) -#48 := [rewrite]: #47 -#45 := (iff #15 #44) -#41 := (= #12 0::Int) -#42 := [rewrite]: #41 -#43 := [monotonicity #42]: #15 -#46 := [monotonicity #43]: #45 -#50 := [trans #46 #48]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#34 := [asserted]: #16 -[mp #34 #57]: false -96ea1637fc28c7299348496b50b04624bb54bbca 51 0 -unsat +#68 := (iff #16 false) +#1 := true +#63 := (not true) +#66 := (iff #63 false) +#67 := [rewrite]: #66 +#64 := (iff #16 #63) +#61 := (iff #15 true) +#56 := (= #14 #14) +#59 := (iff #56 true) +#60 := [rewrite]: #59 +#57 := (iff #15 #56) +#53 := (= #12 0::Int) +#54 := [rewrite]: #53 +#55 := [monotonicity #54]: #15 +#58 := [monotonicity #55]: #57 +#62 := [trans #58 #60]: #61 +#65 := [monotonicity #62]: #64 +#69 := [trans #65 #67]: #68 +#52 := [asserted]: #16 +[mp #52 #69]: false +unsat +1749d19b84217f6922dc5d71d8e67fefffa1dd3a 51 0 #2 := false decl f5 :: (-> S4 S3 Int) #16 := (:var 0 S3) decl f6 :: S4 #8 := f6 #17 := (f5 f6 #16) -#551 := (pattern #17) +#607 := (pattern #17) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #18 := (f3 f4 #17) #19 := (= #18 #16) -#552 := (forall (vars (?v0 S3)) (:pat #551) #19) +#608 := (forall (vars (?v0 S3)) (:pat #607) #19) #20 := (forall (vars (?v0 S3)) #19) -#555 := (iff #20 #552) -#553 := (iff #19 #19) -#554 := [refl]: #553 -#556 := [quant-intro #554]: #555 -#125 := (~ #20 #20) -#129 := (~ #19 #19) -#130 := [refl]: #129 -#126 := [nnf-pos #130]: #125 -#35 := [asserted]: #20 -#127 := [mp~ #35 #126]: #20 -#557 := [mp #127 #556]: #552 +#611 := (iff #20 #608) +#609 := (iff #19 #19) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#128 := (~ #20 #20) +#126 := (~ #19 #19) +#127 := [refl]: #126 +#129 := [nnf-pos #127]: #128 +#64 := [asserted]: #20 +#118 := [mp~ #64 #129]: #20 +#613 := [mp #118 #612]: #608 decl f7 :: S3 #9 := f7 #10 := (f5 f6 f7) -#43 := (f3 f4 #10) -#46 := (= #43 f7) -#49 := (not #46) +#55 := (f3 f4 #10) +#58 := (= #55 f7) +#61 := (not #58) #11 := 1::Int #12 := (* #10 1::Int) #13 := (f3 f4 #12) #14 := (= #13 f7) #15 := (not #14) -#50 := (iff #15 #49) -#47 := (iff #14 #46) -#44 := (= #13 #43) -#41 := (= #12 #10) -#42 := [rewrite]: #41 -#45 := [monotonicity #42]: #44 -#48 := [monotonicity #45]: #47 -#51 := [monotonicity #48]: #50 -#34 := [asserted]: #15 -#52 := [mp #34 #51]: #49 -#222 := (not #552) -#223 := (or #222 #46) -#214 := [quant-inst #9]: #223 -[unit-resolution #214 #52 #557]: false -7f2d30410f583c1a05e491b41f4eb605721a63ed 51 0 -unsat +#62 := (iff #15 #61) +#59 := (iff #14 #58) +#56 := (= #13 #55) +#53 := (= #12 #10) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#60 := [monotonicity #57]: #59 +#63 := [monotonicity #60]: #62 +#52 := [asserted]: #15 +#66 := [mp #52 #63]: #61 +#278 := (not #608) +#279 := (or #278 #58) +#270 := [quant-inst #9]: #279 +[unit-resolution #270 #66 #613]: false +unsat +67566504424067f67a103ec753b4c58eea51e2b0 51 0 #2 := false decl f5 :: (-> S4 S3 Int) #16 := (:var 0 S3) decl f6 :: S4 #9 := f6 #17 := (f5 f6 #16) -#551 := (pattern #17) +#607 := (pattern #17) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #18 := (f3 f4 #17) #19 := (= #18 #16) -#552 := (forall (vars (?v0 S3)) (:pat #551) #19) +#608 := (forall (vars (?v0 S3)) (:pat #607) #19) #20 := (forall (vars (?v0 S3)) #19) -#555 := (iff #20 #552) -#553 := (iff #19 #19) -#554 := [refl]: #553 -#556 := [quant-intro #554]: #555 -#125 := (~ #20 #20) -#129 := (~ #19 #19) -#130 := [refl]: #129 -#126 := [nnf-pos #130]: #125 -#35 := [asserted]: #20 -#127 := [mp~ #35 #126]: #20 -#557 := [mp #127 #556]: #552 +#611 := (iff #20 #608) +#609 := (iff #19 #19) +#610 := [refl]: #609 +#612 := [quant-intro #610]: #611 +#128 := (~ #20 #20) +#126 := (~ #19 #19) +#127 := [refl]: #126 +#129 := [nnf-pos #127]: #128 +#64 := [asserted]: #20 +#118 := [mp~ #64 #129]: #20 +#613 := [mp #118 #612]: #608 decl f7 :: S3 #10 := f7 #11 := (f5 f6 f7) -#43 := (f3 f4 #11) -#46 := (= #43 f7) -#49 := (not #46) +#55 := (f3 f4 #11) +#58 := (= #55 f7) +#61 := (not #58) #8 := 1::Int #12 := (* 1::Int #11) #13 := (f3 f4 #12) #14 := (= #13 f7) #15 := (not #14) -#50 := (iff #15 #49) -#47 := (iff #14 #46) -#44 := (= #13 #43) -#41 := (= #12 #11) -#42 := [rewrite]: #41 -#45 := [monotonicity #42]: #44 -#48 := [monotonicity #45]: #47 -#51 := [monotonicity #48]: #50 -#34 := [asserted]: #15 -#52 := [mp #34 #51]: #49 -#222 := (not #552) -#223 := (or #222 #46) -#214 := [quant-inst #10]: #223 -[unit-resolution #214 #52 #557]: false -0f3423719873455ea9f7115fd0d9b716e38c9561 39 0 -unsat +#62 := (iff #15 #61) +#59 := (iff #14 #58) +#56 := (= #13 #55) +#53 := (= #12 #11) +#54 := [rewrite]: #53 +#57 := [monotonicity #54]: #56 +#60 := [monotonicity #57]: #59 +#63 := [monotonicity #60]: #62 +#52 := [asserted]: #15 +#66 := [mp #52 #63]: #61 +#278 := (not #608) +#279 := (or #278 #58) +#270 := [quant-inst #10]: #279 +[unit-resolution #270 #66 #613]: false +unsat +9a8122f90fb878d81c9ec24c34cad517ec0e86e9 39 0 #2 := false decl f3 :: (-> S2 Int S3) #8 := 3::Int @@ -12649,29 +11631,29 @@ #13 := (f3 f4 #12) #16 := (= #13 #15) #17 := (not #16) -#59 := (iff #17 false) -#1 := true -#54 := (not true) -#57 := (iff #54 false) -#58 := [rewrite]: #57 -#55 := (iff #17 #54) -#52 := (iff #16 true) -#47 := (= #13 #13) -#50 := (iff #47 true) -#51 := [rewrite]: #50 -#48 := (iff #16 #47) -#45 := (= #15 #13) -#43 := (= #14 #12) -#44 := [rewrite]: #43 -#46 := [monotonicity #44]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#56 := [monotonicity #53]: #55 -#60 := [trans #56 #58]: #59 -#36 := [asserted]: #17 -[mp #36 #60]: false -f8dca01b17d79b25cc840adcb38387a94d6a160a 262 0 -unsat +#71 := (iff #17 false) +#1 := true +#66 := (not true) +#69 := (iff #66 false) +#70 := [rewrite]: #69 +#67 := (iff #17 #66) +#64 := (iff #16 true) +#59 := (= #13 #13) +#62 := (iff #59 true) +#63 := [rewrite]: #62 +#60 := (iff #16 #59) +#57 := (= #15 #13) +#55 := (= #14 #12) +#56 := [rewrite]: #55 +#58 := [monotonicity #56]: #57 +#61 := [monotonicity #58]: #60 +#65 := [trans #61 #63]: #64 +#68 := [monotonicity #65]: #67 +#72 := [trans #68 #70]: #71 +#54 := [asserted]: #17 +[mp #54 #72]: false +unsat +04d7d06577757be1339383f753c875196ebaee4b 246 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -12686,103 +11668,79 @@ #11 := (f5 #10 0::Int) #12 := (f3 f4 #11) #14 := (= #12 #13) -#462 := (= #11 0::Int) +#503 := (= #11 0::Int) #22 := (:var 0 Int) #33 := (:var 1 Int) #34 := (f6 f7 #33) #35 := (f5 #34 #22) -#789 := (pattern #35) -#130 := -1::Int -#134 := (* -1::Int #22) -#131 := (* -1::Int #33) -#137 := (div #131 #134) -#328 := (* -1::Int #137) -#329 := (+ #35 #328) -#330 := (= #329 0::Int) +#830 := (pattern #35) +#135 := -1::Int +#139 := (* -1::Int #22) +#136 := (* -1::Int #33) +#142 := (div #136 #139) +#308 := (* -1::Int #142) +#309 := (+ #35 #308) +#310 := (= #309 0::Int) #45 := (div #33 #22) -#325 := (* -1::Int #45) -#326 := (+ #35 #325) -#327 := (= #326 0::Int) -#108 := (<= #22 0::Int) -#220 := (>= #33 0::Int) -#288 := (or #220 #108) -#289 := (not #288) -#104 := (<= #33 0::Int) -#284 := (or #104 #108) -#285 := (not #284) -#292 := (or #285 #289) -#331 := (if #292 #327 #330) -#324 := (= #35 0::Int) +#305 := (* -1::Int #45) +#306 := (+ #35 #305) +#307 := (= #306 0::Int) +#161 := (<= #22 0::Int) +#168 := (>= #33 0::Int) +#268 := (or #168 #161) +#269 := (not #268) +#157 := (<= #33 0::Int) +#266 := (or #157 #161) +#267 := (not #266) +#272 := (or #267 #269) +#311 := (if #272 #307 #310) +#304 := (= #35 0::Int) #37 := (= #22 0::Int) #36 := (= #33 0::Int) #38 := (or #36 #37) -#332 := (if #38 #324 #331) -#790 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #789) #332) -#335 := (forall (vars (?v0 Int) (?v1 Int)) #332) -#793 := (iff #335 #790) -#791 := (iff #332 #332) -#792 := [refl]: #791 -#794 := [quant-intro #792]: #793 -#295 := (if #292 #45 #137) -#298 := (if #38 0::Int #295) -#301 := (= #35 #298) -#304 := (forall (vars (?v0 Int) (?v1 Int)) #301) -#336 := (iff #304 #335) -#333 := (iff #301 #332) -#334 := [rewrite]: #333 -#337 := [quant-intro #334]: #336 -#109 := (not #108) -#223 := (not #220) -#226 := (and #223 #109) -#105 := (not #104) -#112 := (and #105 #109) -#229 := (or #112 #226) -#232 := (if #229 #45 #137) -#235 := (if #38 0::Int #232) -#238 := (= #35 #235) -#241 := (forall (vars (?v0 Int) (?v1 Int)) #238) -#305 := (iff #241 #304) -#302 := (iff #238 #301) -#299 := (= #235 #298) -#296 := (= #232 #295) -#293 := (iff #229 #292) -#290 := (iff #226 #289) -#291 := [rewrite]: #290 -#286 := (iff #112 #285) -#287 := [rewrite]: #286 -#294 := [monotonicity #287 #291]: #293 -#297 := [monotonicity #294]: #296 -#300 := [monotonicity #297]: #299 -#303 := [monotonicity #300]: #302 -#306 := [quant-intro #303]: #305 -#276 := (~ #241 #241) -#274 := (~ #238 #238) -#275 := [refl]: #274 -#277 := [nnf-pos #275]: #276 -#115 := (<= 0::Int #33) -#116 := (not #115) -#124 := (and #116 #109) -#127 := (or #112 #124) -#140 := (if #127 #45 #137) -#143 := (if #38 0::Int #140) -#146 := (= #35 #143) -#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) -#242 := (iff #149 #241) -#239 := (iff #146 #238) -#236 := (= #143 #235) -#233 := (= #140 #232) -#230 := (iff #127 #229) -#227 := (iff #124 #226) -#224 := (iff #116 #223) -#221 := (iff #115 #220) -#222 := [rewrite]: #221 -#225 := [monotonicity #222]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [monotonicity #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [quant-intro #240]: #242 +#312 := (if #38 #304 #311) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #312) +#315 := (forall (vars (?v0 Int) (?v1 Int)) #312) +#834 := (iff #315 #831) +#832 := (iff #312 #312) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#275 := (if #272 #45 #142) +#278 := (if #38 0::Int #275) +#281 := (= #35 #278) +#284 := (forall (vars (?v0 Int) (?v1 Int)) #281) +#316 := (iff #284 #315) +#313 := (iff #281 #312) +#314 := [rewrite]: #313 +#317 := [quant-intro #314]: #316 +#162 := (not #161) +#169 := (not #168) +#172 := (and #169 #162) +#158 := (not #157) +#165 := (and #158 #162) +#175 := (or #165 #172) +#178 := (if #175 #45 #142) +#181 := (if #38 0::Int #178) +#184 := (= #35 #181) +#187 := (forall (vars (?v0 Int) (?v1 Int)) #184) +#285 := (iff #187 #284) +#282 := (iff #184 #281) +#279 := (= #181 #278) +#276 := (= #178 #275) +#273 := (iff #175 #272) +#270 := (iff #172 #269) +#271 := [rewrite]: #270 +#251 := (iff #165 #267) +#252 := [rewrite]: #251 +#274 := [monotonicity #252 #271]: #273 +#277 := [monotonicity #274]: #276 +#280 := [monotonicity #277]: #279 +#283 := [monotonicity #280]: #282 +#286 := [quant-intro #283]: #285 +#247 := (~ #187 #187) +#260 := (~ #184 #184) +#261 := [refl]: #260 +#248 := [nnf-pos #261]: #247 #47 := (- #22) #46 := (- #33) #48 := (div #46 #47) @@ -12796,145 +11754,153 @@ #50 := (if #38 0::Int #49) #51 := (= #35 #50) #52 := (forall (vars (?v0 Int) (?v1 Int)) #51) -#150 := (iff #52 #149) -#147 := (iff #51 #146) -#144 := (= #50 #143) -#141 := (= #49 #140) -#138 := (= #48 #137) -#135 := (= #47 #134) -#136 := [rewrite]: #135 -#132 := (= #46 #131) -#133 := [rewrite]: #132 -#139 := [monotonicity #133 #136]: #138 -#128 := (iff #44 #127) -#125 := (iff #43 #124) -#110 := (iff #40 #109) -#111 := [rewrite]: #110 -#117 := (iff #42 #116) -#121 := (iff #116 #116) -#119 := (iff #115 #115) -#120 := [rewrite]: #119 -#122 := [monotonicity #120]: #121 -#118 := [rewrite]: #117 -#123 := [trans #118 #122]: #117 -#126 := [monotonicity #123 #111]: #125 -#113 := (iff #41 #112) -#106 := (iff #39 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#129 := [monotonicity #114 #126]: #128 -#142 := [monotonicity #129 #139]: #141 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#151 := [quant-intro #148]: #150 -#69 := [asserted]: #52 -#152 := [mp #69 #151]: #149 -#244 := [mp #152 #243]: #241 -#278 := [mp~ #244 #277]: #241 -#307 := [mp #278 #306]: #304 -#338 := [mp #307 #337]: #335 -#795 := [mp #338 #794]: #790 -#696 := (not #790) -#692 := (or #696 #462) -#448 := (* -1::Int 0::Int) -#730 := (div #448 #448) -#734 := (* -1::Int #730) -#731 := (+ #11 #734) -#735 := (= #731 0::Int) -#453 := (div 0::Int 0::Int) -#454 := (* -1::Int #453) -#732 := (+ #11 #454) -#733 := (= #732 0::Int) -#736 := (<= 0::Int 0::Int) -#550 := (>= 0::Int 0::Int) -#741 := (or #550 #736) -#451 := (not #741) -#740 := (or #736 #736) -#737 := (not #740) -#452 := (or #737 #451) -#724 := (if #452 #733 #735) -#739 := (= 0::Int 0::Int) -#461 := (or #739 #739) -#725 := (if #461 #462 #724) -#697 := (or #696 #725) -#687 := (iff #697 #692) -#689 := (iff #692 #692) -#683 := [rewrite]: #689 -#694 := (iff #725 #462) -#1 := true -#691 := (if true #462 #733) -#682 := (iff #691 #462) -#684 := [rewrite]: #682 -#693 := (iff #725 #691) -#700 := (iff #724 #733) -#607 := (if false #733 #733) -#610 := (iff #607 #733) -#703 := [rewrite]: #610 -#608 := (iff #724 #607) -#598 := (iff #735 #733) -#604 := (= #731 #732) -#587 := (= #734 #454) -#699 := (= #730 #453) -#603 := (= #448 0::Int) -#698 := [rewrite]: #603 -#702 := [monotonicity #698 #698]: #699 -#602 := [monotonicity #702]: #587 -#605 := [monotonicity #602]: #604 -#606 := [monotonicity #605]: #598 -#553 := (iff #452 false) -#707 := (or false false) -#593 := (iff #707 false) -#594 := [rewrite]: #593 -#710 := (iff #452 #707) -#708 := (iff #451 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#705 := (iff #451 #419) -#551 := (iff #741 true) -#722 := (or true true) -#723 := (iff #722 true) -#729 := [rewrite]: #723 -#720 := (iff #741 #722) -#572 := (iff #736 true) -#714 := [rewrite]: #572 -#423 := (iff #550 true) -#759 := [rewrite]: #423 -#549 := [monotonicity #759 #714]: #720 -#552 := [trans #549 #729]: #551 -#706 := [monotonicity #552]: #705 -#709 := [trans #706 #407]: #708 -#719 := (iff #737 false) -#712 := (iff #737 #419) -#717 := (iff #740 true) -#715 := (iff #740 #722) -#716 := [monotonicity #714 #714]: #715 -#711 := [trans #716 #729]: #717 -#718 := [monotonicity #711]: #712 -#713 := [trans #718 #407]: #719 -#592 := [monotonicity #713 #709]: #710 -#701 := [trans #592 #594]: #553 -#609 := [monotonicity #701 #606]: #608 -#704 := [trans #609 #703]: #700 -#570 := (iff #461 true) -#727 := (iff #461 #722) -#726 := (iff #739 true) -#721 := [rewrite]: #726 -#728 := [monotonicity #721 #721]: #727 -#571 := [trans #728 #729]: #570 -#685 := [monotonicity #571 #704]: #693 -#695 := [trans #685 #684]: #694 -#688 := [monotonicity #695]: #687 -#690 := [trans #688 #683]: #687 -#686 := [quant-inst #9 #9]: #697 -#674 := [mp #686 #690]: #692 -#677 := [unit-resolution #674 #795]: #462 -#678 := [monotonicity #677]: #14 -#15 := (not #14) -#65 := [asserted]: #15 -[unit-resolution #65 #678]: false -c5e05aa748f8c52496e5b5ccde5700a56e70c1ef 279 0 -unsat +#190 := (iff #52 #187) +#145 := (if #44 #45 #142) +#148 := (if #38 0::Int #145) +#151 := (= #35 #148) +#154 := (forall (vars (?v0 Int) (?v1 Int)) #151) +#188 := (iff #154 #187) +#185 := (iff #151 #184) +#182 := (= #148 #181) +#179 := (= #145 #178) +#176 := (iff #44 #175) +#173 := (iff #43 #172) +#163 := (iff #40 #162) +#164 := [rewrite]: #163 +#170 := (iff #42 #169) +#171 := [rewrite]: #170 +#174 := [monotonicity #171 #164]: #173 +#166 := (iff #41 #165) +#159 := (iff #39 #158) +#160 := [rewrite]: #159 +#167 := [monotonicity #160 #164]: #166 +#177 := [monotonicity #167 #174]: #176 +#180 := [monotonicity #177]: #179 +#183 := [monotonicity #180]: #182 +#186 := [monotonicity #183]: #185 +#189 := [quant-intro #186]: #188 +#155 := (iff #52 #154) +#152 := (iff #51 #151) +#149 := (= #50 #148) +#146 := (= #49 #145) +#143 := (= #48 #142) +#140 := (= #47 #139) +#141 := [rewrite]: #140 +#137 := (= #46 #136) +#138 := [rewrite]: #137 +#144 := [monotonicity #138 #141]: #143 +#147 := [monotonicity #144]: #146 +#150 := [monotonicity #147]: #149 +#153 := [monotonicity #150]: #152 +#156 := [quant-intro #153]: #155 +#191 := [trans #156 #189]: #190 +#134 := [asserted]: #52 +#192 := [mp #134 #191]: #187 +#262 := [mp~ #192 #248]: #187 +#287 := [mp #262 #286]: #284 +#318 := [mp #287 #317]: #315 +#836 := [mp #318 #835]: #831 +#737 := (not #831) +#733 := (or #737 #503) +#489 := (* -1::Int 0::Int) +#771 := (div #489 #489) +#775 := (* -1::Int #771) +#772 := (+ #11 #775) +#776 := (= #772 0::Int) +#494 := (div 0::Int 0::Int) +#495 := (* -1::Int #494) +#773 := (+ #11 #495) +#774 := (= #773 0::Int) +#777 := (<= 0::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#782 := (or #591 #777) +#492 := (not #782) +#781 := (or #777 #777) +#778 := (not #781) +#493 := (or #778 #492) +#765 := (if #493 #774 #776) +#780 := (= 0::Int 0::Int) +#502 := (or #780 #780) +#766 := (if #502 #503 #765) +#738 := (or #737 #766) +#728 := (iff #738 #733) +#730 := (iff #733 #733) +#724 := [rewrite]: #730 +#735 := (iff #766 #503) +#1 := true +#732 := (if true #503 #774) +#723 := (iff #732 #503) +#725 := [rewrite]: #723 +#734 := (iff #766 #732) +#741 := (iff #765 #774) +#648 := (if false #774 #774) +#651 := (iff #648 #774) +#744 := [rewrite]: #651 +#649 := (iff #765 #648) +#639 := (iff #776 #774) +#645 := (= #772 #773) +#628 := (= #775 #495) +#740 := (= #771 #494) +#644 := (= #489 0::Int) +#739 := [rewrite]: #644 +#743 := [monotonicity #739 #739]: #740 +#643 := [monotonicity #743]: #628 +#646 := [monotonicity #643]: #645 +#647 := [monotonicity #646]: #639 +#594 := (iff #493 false) +#748 := (or false false) +#634 := (iff #748 false) +#635 := [rewrite]: #634 +#751 := (iff #493 #748) +#749 := (iff #492 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#746 := (iff #492 #460) +#592 := (iff #782 true) +#763 := (or true true) +#764 := (iff #763 true) +#770 := [rewrite]: #764 +#761 := (iff #782 #763) +#613 := (iff #777 true) +#755 := [rewrite]: #613 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#590 := [monotonicity #800 #755]: #761 +#593 := [trans #590 #770]: #592 +#747 := [monotonicity #593]: #746 +#750 := [trans #747 #448]: #749 +#760 := (iff #778 false) +#753 := (iff #778 #460) +#758 := (iff #781 true) +#756 := (iff #781 #763) +#757 := [monotonicity #755 #755]: #756 +#752 := [trans #757 #770]: #758 +#759 := [monotonicity #752]: #753 +#754 := [trans #759 #448]: #760 +#633 := [monotonicity #754 #750]: #751 +#742 := [trans #633 #635]: #594 +#650 := [monotonicity #742 #647]: #649 +#745 := [trans #650 #744]: #741 +#611 := (iff #502 true) +#768 := (iff #502 #763) +#767 := (iff #780 true) +#762 := [rewrite]: #767 +#769 := [monotonicity #762 #762]: #768 +#612 := [trans #769 #770]: #611 +#726 := [monotonicity #612 #745]: #734 +#736 := [trans #726 #725]: #735 +#729 := [monotonicity #736]: #728 +#731 := [trans #729 #724]: #728 +#727 := [quant-inst #9 #9]: #738 +#715 := [mp #727 #731]: #733 +#718 := [unit-resolution #715 #836]: #503 +#719 := [monotonicity #718]: #14 +#15 := (not #14) +#83 := [asserted]: #15 +[unit-resolution #83 #719]: false +unsat +8c194d24ce95c51840adf6b32bc910599b480f95 263 0 #2 := false decl f3 :: (-> S2 Int S3) #13 := 0::Int @@ -12955,103 +11921,79 @@ #14 := (f5 #12 0::Int) #15 := (f3 f4 #14) #17 := (= #15 #16) -#454 := (= #14 0::Int) +#495 := (= #14 0::Int) #24 := (:var 0 Int) #35 := (:var 1 Int) #36 := (f6 f7 #35) #37 := (f5 #36 #24) -#791 := (pattern #37) -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #35) -#139 := (div #133 #136) -#330 := (* -1::Int #139) -#331 := (+ #37 #330) -#332 := (= #331 0::Int) +#832 := (pattern #37) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #35) +#144 := (div #138 #141) +#310 := (* -1::Int #144) +#311 := (+ #37 #310) +#312 := (= #311 0::Int) #47 := (div #35 #24) -#327 := (* -1::Int #47) -#328 := (+ #37 #327) -#329 := (= #328 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #35 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #35 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#333 := (if #294 #329 #332) -#326 := (= #37 0::Int) +#307 := (* -1::Int #47) +#308 := (+ #37 #307) +#309 := (= #308 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #35 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #35 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#313 := (if #274 #309 #312) +#306 := (= #37 0::Int) #39 := (= #24 0::Int) #38 := (= #35 0::Int) #40 := (or #38 #39) -#334 := (if #40 #326 #333) -#792 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #791) #334) -#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) -#795 := (iff #337 #792) -#793 := (iff #334 #334) -#794 := [refl]: #793 -#796 := [quant-intro #794]: #795 -#297 := (if #294 #47 #139) -#300 := (if #40 0::Int #297) -#303 := (= #37 #300) -#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) -#338 := (iff #306 #337) -#335 := (iff #303 #334) -#336 := [rewrite]: #335 -#339 := [quant-intro #336]: #338 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#234 := (if #231 #47 #139) -#237 := (if #40 0::Int #234) -#240 := (= #37 #237) -#243 := (forall (vars (?v0 Int) (?v1 Int)) #240) -#307 := (iff #243 #306) -#304 := (iff #240 #303) -#301 := (= #237 #300) -#298 := (= #234 #297) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#299 := [monotonicity #296]: #298 -#302 := [monotonicity #299]: #301 -#305 := [monotonicity #302]: #304 -#308 := [quant-intro #305]: #307 -#278 := (~ #243 #243) -#276 := (~ #240 #240) -#277 := [refl]: #276 -#279 := [nnf-pos #277]: #278 -#117 := (<= 0::Int #35) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#142 := (if #129 #47 #139) -#145 := (if #40 0::Int #142) -#148 := (= #37 #145) -#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) -#244 := (iff #151 #243) -#241 := (iff #148 #240) -#238 := (= #145 #237) -#235 := (= #142 #234) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#239 := [monotonicity #236]: #238 -#242 := [monotonicity #239]: #241 -#245 := [quant-intro #242]: #244 +#314 := (if #40 #306 #313) +#833 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #832) #314) +#317 := (forall (vars (?v0 Int) (?v1 Int)) #314) +#836 := (iff #317 #833) +#834 := (iff #314 #314) +#835 := [refl]: #834 +#837 := [quant-intro #835]: #836 +#277 := (if #274 #47 #144) +#280 := (if #40 0::Int #277) +#283 := (= #37 #280) +#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) +#318 := (iff #286 #317) +#315 := (iff #283 #314) +#316 := [rewrite]: #315 +#319 := [quant-intro #316]: #318 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#180 := (if #177 #47 #144) +#183 := (if #40 0::Int #180) +#186 := (= #37 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#287 := (iff #189 #286) +#284 := (iff #186 #283) +#281 := (= #183 #280) +#278 := (= #180 #277) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#279 := [monotonicity #276]: #278 +#282 := [monotonicity #279]: #281 +#285 := [monotonicity #282]: #284 +#288 := [quant-intro #285]: #287 +#249 := (~ #189 #189) +#262 := (~ #186 #186) +#263 := [refl]: #262 +#250 := [nnf-pos #263]: #249 #49 := (- #24) #48 := (- #35) #50 := (div #48 #49) @@ -13065,156 +12007,164 @@ #52 := (if #40 0::Int #51) #53 := (= #37 #52) #54 := (forall (vars (?v0 Int) (?v1 Int)) #53) -#152 := (iff #54 #151) -#149 := (iff #53 #148) -#146 := (= #52 #145) -#143 := (= #51 #142) -#140 := (= #50 #139) -#137 := (= #49 #136) -#138 := [rewrite]: #137 -#134 := (= #48 #133) -#135 := [rewrite]: #134 -#141 := [monotonicity #135 #138]: #140 -#130 := (iff #46 #129) -#127 := (iff #45 #126) -#112 := (iff #42 #111) -#113 := [rewrite]: #112 -#119 := (iff #44 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #43 #114) -#108 := (iff #41 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#144 := [monotonicity #131 #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [monotonicity #147]: #149 -#153 := [quant-intro #150]: #152 -#71 := [asserted]: #54 -#154 := [mp #71 #153]: #151 -#246 := [mp #154 #245]: #243 -#280 := [mp~ #246 #279]: #243 -#309 := [mp #280 #308]: #306 -#340 := [mp #309 #339]: #337 -#797 := [mp #340 #796]: #792 -#672 := (not #792) -#673 := (or #672 #454) -#724 := (* -1::Int 0::Int) -#723 := (* -1::Int #11) -#729 := (div #723 #724) -#730 := (* -1::Int #729) -#725 := (+ #14 #730) -#731 := (= #725 0::Int) -#737 := (div #11 0::Int) -#726 := (* -1::Int #737) -#727 := (+ #14 #726) -#728 := (= #727 0::Int) -#456 := (<= 0::Int 0::Int) -#450 := (>= #11 0::Int) -#732 := (or #450 #456) -#736 := (not #732) -#455 := (<= #11 0::Int) -#734 := (or #455 #456) -#735 := (not #734) -#733 := (or #735 #736) -#572 := (if #733 #728 #731) -#743 := (= 0::Int 0::Int) -#739 := (= #11 0::Int) -#453 := (or #739 #743) -#573 := (if #453 #454 #572) -#674 := (or #672 #573) -#675 := (iff #674 #673) -#656 := (iff #673 #673) -#658 := [rewrite]: #656 -#669 := (iff #573 #454) -#693 := (div #723 0::Int) -#684 := (* -1::Int #693) -#697 := (+ #14 #684) -#699 := (= #697 0::Int) -#1 := true -#680 := (if true #454 #699) -#678 := (iff #680 #454) -#683 := [rewrite]: #678 -#681 := (iff #573 #680) -#677 := (iff #572 #699) -#690 := (if false #728 #699) -#692 := (iff #690 #699) -#676 := [rewrite]: #692 -#691 := (iff #572 #690) -#688 := (iff #731 #699) -#698 := (= #725 #697) -#686 := (= #730 #684) -#695 := (= #729 #693) -#702 := (= #724 0::Int) -#706 := [rewrite]: #702 -#687 := [monotonicity #706]: #695 -#696 := [monotonicity #687]: #686 -#694 := [monotonicity #696]: #698 -#689 := [monotonicity #694]: #688 -#612 := (iff #733 false) -#600 := (or false false) -#610 := (iff #600 false) -#611 := [rewrite]: #610 -#608 := (iff #733 #600) -#606 := (iff #736 false) -#410 := (not true) -#748 := (iff #410 false) +#192 := (iff #54 #189) +#147 := (if #46 #47 #144) +#150 := (if #40 0::Int #147) +#153 := (= #37 #150) +#156 := (forall (vars (?v0 Int) (?v1 Int)) #153) +#190 := (iff #156 #189) +#187 := (iff #153 #186) +#184 := (= #150 #183) +#181 := (= #147 #180) +#178 := (iff #46 #177) +#175 := (iff #45 #174) +#165 := (iff #42 #164) +#166 := [rewrite]: #165 +#172 := (iff #44 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #43 #167) +#161 := (iff #41 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#157 := (iff #54 #156) +#154 := (iff #53 #153) +#151 := (= #52 #150) +#148 := (= #51 #147) +#145 := (= #50 #144) +#142 := (= #49 #141) +#143 := [rewrite]: #142 +#139 := (= #48 #138) +#140 := [rewrite]: #139 +#146 := [monotonicity #140 #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [quant-intro #155]: #157 +#193 := [trans #158 #191]: #192 +#136 := [asserted]: #54 +#194 := [mp #136 #193]: #189 +#264 := [mp~ #194 #250]: #189 +#289 := [mp #264 #288]: #286 +#320 := [mp #289 #319]: #317 +#838 := [mp #320 #837]: #833 +#713 := (not #833) +#714 := (or #713 #495) +#765 := (* -1::Int 0::Int) +#764 := (* -1::Int #11) +#770 := (div #764 #765) +#771 := (* -1::Int #770) +#766 := (+ #14 #771) +#772 := (= #766 0::Int) +#778 := (div #11 0::Int) +#767 := (* -1::Int #778) +#768 := (+ #14 #767) +#769 := (= #768 0::Int) +#497 := (<= 0::Int 0::Int) +#491 := (>= #11 0::Int) +#773 := (or #491 #497) +#777 := (not #773) +#496 := (<= #11 0::Int) +#775 := (or #496 #497) +#776 := (not #775) +#774 := (or #776 #777) +#613 := (if #774 #769 #772) +#784 := (= 0::Int 0::Int) +#780 := (= #11 0::Int) +#494 := (or #780 #784) +#614 := (if #494 #495 #613) +#715 := (or #713 #614) +#716 := (iff #715 #714) +#697 := (iff #714 #714) +#699 := [rewrite]: #697 +#710 := (iff #614 #495) +#734 := (div #764 0::Int) +#725 := (* -1::Int #734) +#738 := (+ #14 #725) +#740 := (= #738 0::Int) +#1 := true +#721 := (if true #495 #740) +#719 := (iff #721 #495) +#724 := [rewrite]: #719 +#722 := (iff #614 #721) +#718 := (iff #613 #740) +#731 := (if false #769 #740) +#733 := (iff #731 #740) +#717 := [rewrite]: #733 +#732 := (iff #613 #731) +#729 := (iff #772 #740) +#739 := (= #766 #738) +#727 := (= #771 #725) +#736 := (= #770 #734) +#743 := (= #765 0::Int) +#747 := [rewrite]: #743 +#728 := [monotonicity #747]: #736 +#737 := [monotonicity #728]: #727 +#735 := [monotonicity #737]: #739 +#730 := [monotonicity #735]: #729 +#653 := (iff #774 false) +#641 := (or false false) +#651 := (iff #641 false) +#652 := [rewrite]: #651 +#649 := (iff #774 #641) +#647 := (iff #777 false) +#451 := (not true) +#789 := (iff #451 false) +#790 := [rewrite]: #789 +#630 := (iff #777 #451) +#742 := (iff #773 true) +#637 := (or #491 true) +#646 := (iff #637 true) +#741 := [rewrite]: #646 +#596 := (iff #773 #637) +#756 := (iff #497 true) +#763 := [rewrite]: #756 +#744 := [monotonicity #763]: #596 +#745 := [trans #744 #741]: #742 +#645 := [monotonicity #745]: #630 +#648 := [trans #645 #790]: #647 +#635 := (iff #776 false) +#750 := (iff #776 #451) +#751 := (iff #775 true) +#592 := (or #496 true) +#748 := (iff #592 true) #749 := [rewrite]: #748 -#589 := (iff #736 #410) -#701 := (iff #732 true) -#596 := (or #450 true) -#605 := (iff #596 true) -#700 := [rewrite]: #605 -#555 := (iff #732 #596) -#715 := (iff #456 true) -#722 := [rewrite]: #715 -#703 := [monotonicity #722]: #555 -#704 := [trans #703 #700]: #701 -#604 := [monotonicity #704]: #589 -#607 := [trans #604 #749]: #606 -#594 := (iff #735 false) -#709 := (iff #735 #410) -#710 := (iff #734 true) -#551 := (or #455 true) -#707 := (iff #551 true) -#708 := [rewrite]: #707 -#553 := (iff #734 #551) -#554 := [monotonicity #722]: #553 -#711 := [trans #554 #708]: #710 -#712 := [monotonicity #711]: #709 -#595 := [trans #712 #749]: #594 -#609 := [monotonicity #595 #607]: #608 -#705 := [trans #609 #611]: #612 -#685 := [monotonicity #705 #689]: #691 -#679 := [trans #685 #676]: #677 -#720 := (iff #453 true) -#717 := (or #739 true) -#713 := (iff #717 true) -#714 := [rewrite]: #713 -#718 := (iff #453 #717) -#574 := (iff #743 true) -#716 := [rewrite]: #574 -#719 := [monotonicity #716]: #718 -#721 := [trans #719 #714]: #720 -#682 := [monotonicity #721 #679]: #681 -#670 := [trans #682 #683]: #669 -#655 := [monotonicity #670]: #675 -#659 := [trans #655 #658]: #675 -#671 := [quant-inst #11 #13]: #674 -#660 := [mp #671 #659]: #673 -#662 := [unit-resolution #660 #797]: #454 -#663 := [monotonicity #662]: #17 +#594 := (iff #775 #592) +#595 := [monotonicity #763]: #594 +#752 := [trans #595 #749]: #751 +#753 := [monotonicity #752]: #750 +#636 := [trans #753 #790]: #635 +#650 := [monotonicity #636 #648]: #649 +#746 := [trans #650 #652]: #653 +#726 := [monotonicity #746 #730]: #732 +#720 := [trans #726 #717]: #718 +#761 := (iff #494 true) +#758 := (or #780 true) +#754 := (iff #758 true) +#755 := [rewrite]: #754 +#759 := (iff #494 #758) +#615 := (iff #784 true) +#757 := [rewrite]: #615 +#760 := [monotonicity #757]: #759 +#762 := [trans #760 #755]: #761 +#723 := [monotonicity #762 #720]: #722 +#711 := [trans #723 #724]: #710 +#696 := [monotonicity #711]: #716 +#700 := [trans #696 #699]: #716 +#712 := [quant-inst #11 #13]: #715 +#701 := [mp #712 #700]: #714 +#703 := [unit-resolution #701 #838]: #495 +#704 := [monotonicity #703]: #17 #18 := (not #17) -#67 := [asserted]: #18 -[unit-resolution #67 #663]: false -471141abc1c5de0524559d60a8710dc5938c99dd 296 0 -unsat +#85 := [asserted]: #18 +[unit-resolution #85 #704]: false +unsat +4e4622ee8bc45ab84a91b4f6c078726a6c12f7d8 280 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -13230,103 +12180,79 @@ #12 := (f5 #10 1::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#736 := (= #12 0::Int) +#777 := (= #12 0::Int) #23 := (:var 0 Int) #34 := (:var 1 Int) #35 := (f6 f7 #34) #36 := (f5 #35 #23) -#789 := (pattern #36) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #34) -#138 := (div #132 #135) -#329 := (* -1::Int #138) -#330 := (+ #36 #329) -#331 := (= #330 0::Int) +#830 := (pattern #36) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #34) +#143 := (div #137 #140) +#309 := (* -1::Int #143) +#310 := (+ #36 #309) +#311 := (= #310 0::Int) #46 := (div #34 #23) -#326 := (* -1::Int #46) -#327 := (+ #36 #326) -#328 := (= #327 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #34 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #34 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#332 := (if #293 #328 #331) -#325 := (= #36 0::Int) +#306 := (* -1::Int #46) +#307 := (+ #36 #306) +#308 := (= #307 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #34 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #34 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#312 := (if #273 #308 #311) +#305 := (= #36 0::Int) #38 := (= #23 0::Int) #37 := (= #34 0::Int) #39 := (or #37 #38) -#333 := (if #39 #325 #332) -#790 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #789) #333) -#336 := (forall (vars (?v0 Int) (?v1 Int)) #333) -#793 := (iff #336 #790) -#791 := (iff #333 #333) -#792 := [refl]: #791 -#794 := [quant-intro #792]: #793 -#296 := (if #293 #46 #138) -#299 := (if #39 0::Int #296) -#302 := (= #36 #299) -#305 := (forall (vars (?v0 Int) (?v1 Int)) #302) -#337 := (iff #305 #336) -#334 := (iff #302 #333) -#335 := [rewrite]: #334 -#338 := [quant-intro #335]: #337 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#233 := (if #230 #46 #138) -#236 := (if #39 0::Int #233) -#239 := (= #36 #236) -#242 := (forall (vars (?v0 Int) (?v1 Int)) #239) -#306 := (iff #242 #305) -#303 := (iff #239 #302) -#300 := (= #236 #299) -#297 := (= #233 #296) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#298 := [monotonicity #295]: #297 -#301 := [monotonicity #298]: #300 -#304 := [monotonicity #301]: #303 -#307 := [quant-intro #304]: #306 -#277 := (~ #242 #242) -#275 := (~ #239 #239) -#276 := [refl]: #275 -#278 := [nnf-pos #276]: #277 -#116 := (<= 0::Int #34) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#141 := (if #128 #46 #138) -#144 := (if #39 0::Int #141) -#147 := (= #36 #144) -#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) -#243 := (iff #150 #242) -#240 := (iff #147 #239) -#237 := (= #144 #236) -#234 := (= #141 #233) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [quant-intro #241]: #243 +#313 := (if #39 #305 #312) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #313) +#316 := (forall (vars (?v0 Int) (?v1 Int)) #313) +#834 := (iff #316 #831) +#832 := (iff #313 #313) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#276 := (if #273 #46 #143) +#279 := (if #39 0::Int #276) +#282 := (= #36 #279) +#285 := (forall (vars (?v0 Int) (?v1 Int)) #282) +#317 := (iff #285 #316) +#314 := (iff #282 #313) +#315 := [rewrite]: #314 +#318 := [quant-intro #315]: #317 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#179 := (if #176 #46 #143) +#182 := (if #39 0::Int #179) +#185 := (= #36 #182) +#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) +#286 := (iff #188 #285) +#283 := (iff #185 #282) +#280 := (= #182 #279) +#277 := (= #179 #276) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#278 := [monotonicity #275]: #277 +#281 := [monotonicity #278]: #280 +#284 := [monotonicity #281]: #283 +#287 := [quant-intro #284]: #286 +#248 := (~ #188 #188) +#261 := (~ #185 #185) +#262 := [refl]: #261 +#249 := [nnf-pos #262]: #248 #48 := (- #23) #47 := (- #34) #49 := (div #47 #48) @@ -13340,178 +12266,186 @@ #51 := (if #39 0::Int #50) #52 := (= #36 #51) #53 := (forall (vars (?v0 Int) (?v1 Int)) #52) -#151 := (iff #53 #150) -#148 := (iff #52 #147) -#145 := (= #51 #144) -#142 := (= #50 #141) -#139 := (= #49 #138) -#136 := (= #48 #135) -#137 := [rewrite]: #136 -#133 := (= #47 #132) -#134 := [rewrite]: #133 -#140 := [monotonicity #134 #137]: #139 -#129 := (iff #45 #128) -#126 := (iff #44 #125) -#111 := (iff #41 #110) -#112 := [rewrite]: #111 -#118 := (iff #43 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #42 #113) -#107 := (iff #40 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#143 := [monotonicity #130 #140]: #142 -#146 := [monotonicity #143]: #145 -#149 := [monotonicity #146]: #148 -#152 := [quant-intro #149]: #151 -#70 := [asserted]: #53 -#153 := [mp #70 #152]: #150 -#245 := [mp #153 #244]: #242 -#279 := [mp~ #245 #278]: #242 -#308 := [mp #279 #307]: #305 -#339 := [mp #308 #338]: #336 -#795 := [mp #339 #794]: #790 -#663 := (not #790) -#664 := (or #663 #736) -#731 := (* -1::Int 1::Int) -#734 := (* -1::Int 0::Int) -#735 := (div #734 #731) -#724 := (* -1::Int #735) -#725 := (+ #12 #724) -#726 := (= #725 0::Int) -#732 := (div 0::Int 1::Int) -#733 := (* -1::Int #732) -#448 := (+ #12 #733) -#730 := (= #448 0::Int) -#737 := (<= 1::Int 0::Int) -#550 := (>= 0::Int 0::Int) -#452 := (or #550 #737) -#453 := (not #452) -#740 := (<= 0::Int 0::Int) -#741 := (or #740 #737) -#451 := (not #741) -#454 := (or #451 #453) -#721 := (if #454 #730 #726) -#461 := (= 1::Int 0::Int) -#739 := (= 0::Int 0::Int) -#462 := (or #739 #461) -#722 := (if #462 #736 #721) -#665 := (or #663 #722) -#666 := (iff #665 #664) -#645 := (iff #664 #664) -#647 := [rewrite]: #645 -#661 := (iff #722 #736) -#1 := true -#656 := (if true #736 #736) -#659 := (iff #656 #736) -#660 := [rewrite]: #659 -#657 := (iff #722 #656) -#653 := (iff #721 #736) -#670 := (if false #736 #736) -#669 := (iff #670 #736) -#673 := [rewrite]: #669 -#671 := (iff #721 #670) -#667 := (iff #726 #736) -#676 := (= #725 #12) -#700 := (+ #12 0::Int) -#693 := (= #700 #12) -#685 := [rewrite]: #693 -#679 := (= #725 #700) -#677 := (= #724 0::Int) -#608 := (= #734 0::Int) -#609 := [rewrite]: #608 -#674 := (= #724 #734) -#683 := (= #735 0::Int) -#697 := (div 0::Int -1::Int) -#688 := (= #697 0::Int) -#689 := [rewrite]: #688 -#686 := (= #735 #697) -#696 := (= #731 -1::Int) -#692 := [rewrite]: #696 -#687 := [monotonicity #609 #692]: #686 -#690 := [trans #687 #689]: #683 -#675 := [monotonicity #690]: #674 -#678 := [trans #675 #609]: #677 -#680 := [monotonicity #678]: #679 -#681 := [trans #680 #685]: #676 -#668 := [monotonicity #681]: #667 -#694 := (iff #730 #736) -#682 := (= #448 #12) -#704 := (= #448 #700) -#610 := (= #733 0::Int) -#606 := (= #733 #734) -#605 := (= #732 0::Int) -#598 := [rewrite]: #605 -#607 := [monotonicity #598]: #606 -#703 := [trans #607 #609]: #610 -#691 := [monotonicity #703]: #704 -#684 := [trans #691 #685]: #682 -#695 := [monotonicity #684]: #694 -#602 := (iff #454 false) -#603 := (or false false) -#702 := (iff #603 false) -#587 := [rewrite]: #702 -#698 := (iff #454 #603) -#553 := (iff #453 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#593 := (iff #453 #419) -#710 := (iff #452 true) -#570 := (or true false) -#714 := (iff #570 true) -#715 := [rewrite]: #714 -#709 := (iff #452 #570) -#718 := (iff #737 false) -#719 := [rewrite]: #718 -#423 := (iff #550 true) -#759 := [rewrite]: #423 -#707 := [monotonicity #759 #719]: #709 -#592 := [trans #707 #715]: #710 -#594 := [monotonicity #592]: #593 -#701 := [trans #594 #407]: #553 -#706 := (iff #451 false) -#552 := (iff #451 #419) -#549 := (iff #741 true) -#713 := (iff #741 #570) -#711 := (iff #740 true) -#712 := [rewrite]: #711 -#720 := [monotonicity #712 #719]: #713 -#551 := [trans #720 #715]: #549 -#705 := [monotonicity #551]: #552 -#708 := [trans #705 #407]: #706 -#699 := [monotonicity #708 #701]: #698 -#604 := [trans #699 #587]: #602 -#672 := [monotonicity #604 #695 #668]: #671 -#654 := [trans #672 #673]: #653 -#716 := (iff #462 true) -#571 := (iff #462 #570) -#723 := (iff #461 false) -#729 := [rewrite]: #723 -#727 := (iff #739 true) -#728 := [rewrite]: #727 -#572 := [monotonicity #728 #729]: #571 -#717 := [trans #572 #715]: #716 -#658 := [monotonicity #717 #654]: #657 -#662 := [trans #658 #660]: #661 -#644 := [monotonicity #662]: #666 -#648 := [trans #644 #647]: #666 -#655 := [quant-inst #9 #11]: #665 -#649 := [mp #655 #648]: #664 -#651 := [unit-resolution #649 #795]: #736 -#646 := [monotonicity #651]: #15 +#191 := (iff #53 #188) +#146 := (if #45 #46 #143) +#149 := (if #39 0::Int #146) +#152 := (= #36 #149) +#155 := (forall (vars (?v0 Int) (?v1 Int)) #152) +#189 := (iff #155 #188) +#186 := (iff #152 #185) +#183 := (= #149 #182) +#180 := (= #146 #179) +#177 := (iff #45 #176) +#174 := (iff #44 #173) +#164 := (iff #41 #163) +#165 := [rewrite]: #164 +#171 := (iff #43 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #42 #166) +#160 := (iff #40 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#181 := [monotonicity #178]: #180 +#184 := [monotonicity #181]: #183 +#187 := [monotonicity #184]: #186 +#190 := [quant-intro #187]: #189 +#156 := (iff #53 #155) +#153 := (iff #52 #152) +#150 := (= #51 #149) +#147 := (= #50 #146) +#144 := (= #49 #143) +#141 := (= #48 #140) +#142 := [rewrite]: #141 +#138 := (= #47 #137) +#139 := [rewrite]: #138 +#145 := [monotonicity #139 #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [monotonicity #148]: #150 +#154 := [monotonicity #151]: #153 +#157 := [quant-intro #154]: #156 +#192 := [trans #157 #190]: #191 +#135 := [asserted]: #53 +#193 := [mp #135 #192]: #188 +#263 := [mp~ #193 #249]: #188 +#288 := [mp #263 #287]: #285 +#319 := [mp #288 #318]: #316 +#836 := [mp #319 #835]: #831 +#704 := (not #831) +#705 := (or #704 #777) +#772 := (* -1::Int 1::Int) +#775 := (* -1::Int 0::Int) +#776 := (div #775 #772) +#765 := (* -1::Int #776) +#766 := (+ #12 #765) +#767 := (= #766 0::Int) +#773 := (div 0::Int 1::Int) +#774 := (* -1::Int #773) +#489 := (+ #12 #774) +#771 := (= #489 0::Int) +#778 := (<= 1::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#493 := (or #591 #778) +#494 := (not #493) +#781 := (<= 0::Int 0::Int) +#782 := (or #781 #778) +#492 := (not #782) +#495 := (or #492 #494) +#762 := (if #495 #771 #767) +#502 := (= 1::Int 0::Int) +#780 := (= 0::Int 0::Int) +#503 := (or #780 #502) +#763 := (if #503 #777 #762) +#706 := (or #704 #763) +#707 := (iff #706 #705) +#686 := (iff #705 #705) +#688 := [rewrite]: #686 +#702 := (iff #763 #777) +#1 := true +#697 := (if true #777 #777) +#700 := (iff #697 #777) +#701 := [rewrite]: #700 +#698 := (iff #763 #697) +#694 := (iff #762 #777) +#711 := (if false #777 #777) +#710 := (iff #711 #777) +#714 := [rewrite]: #710 +#712 := (iff #762 #711) +#708 := (iff #767 #777) +#717 := (= #766 #12) +#741 := (+ #12 0::Int) +#734 := (= #741 #12) +#726 := [rewrite]: #734 +#720 := (= #766 #741) +#718 := (= #765 0::Int) +#649 := (= #775 0::Int) +#650 := [rewrite]: #649 +#715 := (= #765 #775) +#724 := (= #776 0::Int) +#738 := (div 0::Int -1::Int) +#729 := (= #738 0::Int) +#730 := [rewrite]: #729 +#727 := (= #776 #738) +#737 := (= #772 -1::Int) +#733 := [rewrite]: #737 +#728 := [monotonicity #650 #733]: #727 +#731 := [trans #728 #730]: #724 +#716 := [monotonicity #731]: #715 +#719 := [trans #716 #650]: #718 +#721 := [monotonicity #719]: #720 +#722 := [trans #721 #726]: #717 +#709 := [monotonicity #722]: #708 +#735 := (iff #771 #777) +#723 := (= #489 #12) +#745 := (= #489 #741) +#651 := (= #774 0::Int) +#647 := (= #774 #775) +#646 := (= #773 0::Int) +#639 := [rewrite]: #646 +#648 := [monotonicity #639]: #647 +#744 := [trans #648 #650]: #651 +#732 := [monotonicity #744]: #745 +#725 := [trans #732 #726]: #723 +#736 := [monotonicity #725]: #735 +#643 := (iff #495 false) +#644 := (or false false) +#743 := (iff #644 false) +#628 := [rewrite]: #743 +#739 := (iff #495 #644) +#594 := (iff #494 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#634 := (iff #494 #460) +#751 := (iff #493 true) +#611 := (or true false) +#755 := (iff #611 true) +#756 := [rewrite]: #755 +#750 := (iff #493 #611) +#759 := (iff #778 false) +#760 := [rewrite]: #759 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#748 := [monotonicity #800 #760]: #750 +#633 := [trans #748 #756]: #751 +#635 := [monotonicity #633]: #634 +#742 := [trans #635 #448]: #594 +#747 := (iff #492 false) +#593 := (iff #492 #460) +#590 := (iff #782 true) +#754 := (iff #782 #611) +#752 := (iff #781 true) +#753 := [rewrite]: #752 +#761 := [monotonicity #753 #760]: #754 +#592 := [trans #761 #756]: #590 +#746 := [monotonicity #592]: #593 +#749 := [trans #746 #448]: #747 +#740 := [monotonicity #749 #742]: #739 +#645 := [trans #740 #628]: #643 +#713 := [monotonicity #645 #736 #709]: #712 +#695 := [trans #713 #714]: #694 +#757 := (iff #503 true) +#612 := (iff #503 #611) +#764 := (iff #502 false) +#770 := [rewrite]: #764 +#768 := (iff #780 true) +#769 := [rewrite]: #768 +#613 := [monotonicity #769 #770]: #612 +#758 := [trans #613 #756]: #757 +#699 := [monotonicity #758 #695]: #698 +#703 := [trans #699 #701]: #702 +#685 := [monotonicity #703]: #707 +#689 := [trans #685 #688]: #707 +#696 := [quant-inst #9 #11]: #706 +#690 := [mp #696 #689]: #705 +#692 := [unit-resolution #690 #836]: #777 +#687 := [monotonicity #692]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #646]: false -5f4a21ddc8bb410dbf2483dc973cb115e8b16b3c 299 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #687]: false +unsat +f2d5511489ae0b1083bd6d09fc48e4e14f9df895 283 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 1::Int @@ -13526,104 +12460,80 @@ #11 := (f5 #10 1::Int) #12 := (f3 f4 #11) #14 := (= #12 #13) -#695 := (= #11 1::Int) +#736 := (= #11 1::Int) #23 := (:var 0 Int) #34 := (:var 1 Int) #35 := (f6 f7 #34) #36 := (f5 #35 #23) -#789 := (pattern #36) +#830 := (pattern #36) #22 := 0::Int -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #34) -#138 := (div #132 #135) -#329 := (* -1::Int #138) -#330 := (+ #36 #329) -#331 := (= #330 0::Int) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #34) +#143 := (div #137 #140) +#309 := (* -1::Int #143) +#310 := (+ #36 #309) +#311 := (= #310 0::Int) #46 := (div #34 #23) -#326 := (* -1::Int #46) -#327 := (+ #36 #326) -#328 := (= #327 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #34 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #34 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#332 := (if #293 #328 #331) -#325 := (= #36 0::Int) +#306 := (* -1::Int #46) +#307 := (+ #36 #306) +#308 := (= #307 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #34 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #34 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#312 := (if #273 #308 #311) +#305 := (= #36 0::Int) #38 := (= #23 0::Int) #37 := (= #34 0::Int) #39 := (or #37 #38) -#333 := (if #39 #325 #332) -#790 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #789) #333) -#336 := (forall (vars (?v0 Int) (?v1 Int)) #333) -#793 := (iff #336 #790) -#791 := (iff #333 #333) -#792 := [refl]: #791 -#794 := [quant-intro #792]: #793 -#296 := (if #293 #46 #138) -#299 := (if #39 0::Int #296) -#302 := (= #36 #299) -#305 := (forall (vars (?v0 Int) (?v1 Int)) #302) -#337 := (iff #305 #336) -#334 := (iff #302 #333) -#335 := [rewrite]: #334 -#338 := [quant-intro #335]: #337 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#233 := (if #230 #46 #138) -#236 := (if #39 0::Int #233) -#239 := (= #36 #236) -#242 := (forall (vars (?v0 Int) (?v1 Int)) #239) -#306 := (iff #242 #305) -#303 := (iff #239 #302) -#300 := (= #236 #299) -#297 := (= #233 #296) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#298 := [monotonicity #295]: #297 -#301 := [monotonicity #298]: #300 -#304 := [monotonicity #301]: #303 -#307 := [quant-intro #304]: #306 -#277 := (~ #242 #242) -#275 := (~ #239 #239) -#276 := [refl]: #275 -#278 := [nnf-pos #276]: #277 -#116 := (<= 0::Int #34) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#141 := (if #128 #46 #138) -#144 := (if #39 0::Int #141) -#147 := (= #36 #144) -#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) -#243 := (iff #150 #242) -#240 := (iff #147 #239) -#237 := (= #144 #236) -#234 := (= #141 #233) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [quant-intro #241]: #243 +#313 := (if #39 #305 #312) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #313) +#316 := (forall (vars (?v0 Int) (?v1 Int)) #313) +#834 := (iff #316 #831) +#832 := (iff #313 #313) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#276 := (if #273 #46 #143) +#279 := (if #39 0::Int #276) +#282 := (= #36 #279) +#285 := (forall (vars (?v0 Int) (?v1 Int)) #282) +#317 := (iff #285 #316) +#314 := (iff #282 #313) +#315 := [rewrite]: #314 +#318 := [quant-intro #315]: #317 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#179 := (if #176 #46 #143) +#182 := (if #39 0::Int #179) +#185 := (= #36 #182) +#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) +#286 := (iff #188 #285) +#283 := (iff #185 #282) +#280 := (= #182 #279) +#277 := (= #179 #276) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#278 := [monotonicity #275]: #277 +#281 := [monotonicity #278]: #280 +#284 := [monotonicity #281]: #283 +#287 := [quant-intro #284]: #286 +#248 := (~ #188 #188) +#261 := (~ #185 #185) +#262 := [refl]: #261 +#249 := [nnf-pos #262]: #248 #48 := (- #23) #47 := (- #34) #49 := (div #47 #48) @@ -13637,181 +12547,189 @@ #51 := (if #39 0::Int #50) #52 := (= #36 #51) #53 := (forall (vars (?v0 Int) (?v1 Int)) #52) -#151 := (iff #53 #150) -#148 := (iff #52 #147) -#145 := (= #51 #144) -#142 := (= #50 #141) -#139 := (= #49 #138) -#136 := (= #48 #135) -#137 := [rewrite]: #136 -#133 := (= #47 #132) -#134 := [rewrite]: #133 -#140 := [monotonicity #134 #137]: #139 -#129 := (iff #45 #128) -#126 := (iff #44 #125) -#111 := (iff #41 #110) -#112 := [rewrite]: #111 -#118 := (iff #43 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #42 #113) -#107 := (iff #40 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#143 := [monotonicity #130 #140]: #142 -#146 := [monotonicity #143]: #145 -#149 := [monotonicity #146]: #148 -#152 := [quant-intro #149]: #151 -#70 := [asserted]: #53 -#153 := [mp #70 #152]: #150 -#245 := [mp #153 #244]: #242 -#279 := [mp~ #245 #278]: #242 -#308 := [mp #279 #307]: #305 -#339 := [mp #308 #338]: #336 -#795 := [mp #339 #794]: #790 -#666 := (not #790) -#644 := (or #666 #695) -#730 := (* -1::Int 1::Int) -#734 := (div #730 #730) -#731 := (* -1::Int #734) -#735 := (+ #11 #731) -#724 := (= #735 0::Int) -#454 := (div 1::Int 1::Int) -#732 := (* -1::Int #454) -#733 := (+ #11 #732) -#448 := (= #733 0::Int) -#740 := (<= 1::Int 0::Int) -#550 := (>= 1::Int 0::Int) -#451 := (or #550 #740) -#452 := (not #451) -#737 := (or #740 #740) -#741 := (not #737) -#453 := (or #741 #452) -#725 := (if #453 #448 #724) -#736 := (= #11 0::Int) -#461 := (= 1::Int 0::Int) -#462 := (or #461 #461) -#726 := (if #462 #736 #725) -#645 := (or #666 #726) -#648 := (iff #645 #644) -#650 := (iff #644 #644) -#651 := [rewrite]: #650 -#665 := (iff #726 #695) -#660 := (if false #736 #695) -#663 := (iff #660 #695) -#664 := [rewrite]: #663 -#661 := (iff #726 #660) -#658 := (iff #725 #695) -#1 := true -#673 := (if true #695 #695) -#656 := (iff #673 #695) -#657 := [rewrite]: #656 -#653 := (iff #725 #673) -#672 := (iff #724 #695) -#700 := (+ -1::Int #11) -#682 := (= #700 0::Int) -#696 := (iff #682 #695) -#692 := [rewrite]: #696 -#670 := (iff #724 #682) -#667 := (= #735 #700) -#609 := (+ #11 -1::Int) -#704 := (= #609 #700) -#691 := [rewrite]: #704 -#676 := (= #735 #609) -#679 := (= #731 -1::Int) -#598 := (= #730 -1::Int) -#606 := [rewrite]: #598 -#677 := (= #731 #730) -#674 := (= #734 1::Int) -#687 := (div -1::Int -1::Int) -#683 := (= #687 1::Int) -#690 := [rewrite]: #683 -#688 := (= #734 #687) -#689 := [monotonicity #606 #606]: #688 -#675 := [trans #689 #690]: #674 -#678 := [monotonicity #675]: #677 -#680 := [trans #678 #606]: #679 -#681 := [monotonicity #680]: #676 -#668 := [trans #681 #691]: #667 -#671 := [monotonicity #668]: #670 -#669 := [trans #671 #692]: #672 -#697 := (iff #448 #695) -#684 := (iff #448 #682) -#693 := (= #733 #700) -#610 := (= #733 #609) -#607 := (= #732 -1::Int) -#604 := (= #732 #730) -#587 := (= #454 1::Int) -#602 := [rewrite]: #587 -#605 := [monotonicity #602]: #604 -#608 := [trans #605 #606]: #607 -#703 := [monotonicity #608]: #610 -#685 := [trans #703 #691]: #693 -#694 := [monotonicity #685]: #684 -#686 := [trans #694 #692]: #697 -#699 := (iff #453 true) -#705 := (or true false) -#709 := (iff #705 true) -#707 := [rewrite]: #709 -#603 := (iff #453 #705) -#553 := (iff #452 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#593 := (iff #452 #419) -#710 := (iff #451 true) -#706 := (iff #451 #705) -#714 := (iff #740 false) -#715 := [rewrite]: #714 -#423 := (iff #550 true) -#759 := [rewrite]: #423 -#708 := [monotonicity #759 #715]: #706 -#592 := [trans #708 #707]: #710 -#594 := [monotonicity #592]: #593 -#701 := [trans #594 #407]: #553 -#551 := (iff #741 true) -#718 := (not false) -#720 := (iff #718 true) -#549 := [rewrite]: #720 -#719 := (iff #741 #718) -#711 := (iff #737 false) -#727 := (or false false) -#729 := (iff #727 false) -#570 := [rewrite]: #729 -#716 := (iff #737 #727) -#717 := [monotonicity #715 #715]: #716 -#712 := [trans #717 #570]: #711 -#713 := [monotonicity #712]: #719 -#552 := [trans #713 #549]: #551 -#698 := [monotonicity #552 #701]: #603 -#702 := [trans #698 #707]: #699 -#654 := [monotonicity #702 #686 #669]: #653 -#659 := [trans #654 #657]: #658 -#571 := (iff #462 false) -#728 := (iff #462 #727) -#721 := (iff #461 false) -#722 := [rewrite]: #721 -#723 := [monotonicity #722 #722]: #728 -#572 := [trans #723 #570]: #571 -#662 := [monotonicity #572 #659]: #661 -#655 := [trans #662 #664]: #665 -#649 := [monotonicity #655]: #648 -#646 := [trans #649 #651]: #648 -#647 := [quant-inst #9 #9]: #645 -#652 := [mp #647 #646]: #644 -#635 := [unit-resolution #652 #795]: #695 -#636 := [monotonicity #635]: #14 -#15 := (not #14) -#66 := [asserted]: #15 -[unit-resolution #66 #636]: false -68e6a38048a26ed5e2cde0fce9122240abdb6e8c 310 0 -unsat +#191 := (iff #53 #188) +#146 := (if #45 #46 #143) +#149 := (if #39 0::Int #146) +#152 := (= #36 #149) +#155 := (forall (vars (?v0 Int) (?v1 Int)) #152) +#189 := (iff #155 #188) +#186 := (iff #152 #185) +#183 := (= #149 #182) +#180 := (= #146 #179) +#177 := (iff #45 #176) +#174 := (iff #44 #173) +#164 := (iff #41 #163) +#165 := [rewrite]: #164 +#171 := (iff #43 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #42 #166) +#160 := (iff #40 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#181 := [monotonicity #178]: #180 +#184 := [monotonicity #181]: #183 +#187 := [monotonicity #184]: #186 +#190 := [quant-intro #187]: #189 +#156 := (iff #53 #155) +#153 := (iff #52 #152) +#150 := (= #51 #149) +#147 := (= #50 #146) +#144 := (= #49 #143) +#141 := (= #48 #140) +#142 := [rewrite]: #141 +#138 := (= #47 #137) +#139 := [rewrite]: #138 +#145 := [monotonicity #139 #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [monotonicity #148]: #150 +#154 := [monotonicity #151]: #153 +#157 := [quant-intro #154]: #156 +#192 := [trans #157 #190]: #191 +#135 := [asserted]: #53 +#193 := [mp #135 #192]: #188 +#263 := [mp~ #193 #249]: #188 +#288 := [mp #263 #287]: #285 +#319 := [mp #288 #318]: #316 +#836 := [mp #319 #835]: #831 +#707 := (not #831) +#685 := (or #707 #736) +#771 := (* -1::Int 1::Int) +#775 := (div #771 #771) +#772 := (* -1::Int #775) +#776 := (+ #11 #772) +#765 := (= #776 0::Int) +#495 := (div 1::Int 1::Int) +#773 := (* -1::Int #495) +#774 := (+ #11 #773) +#489 := (= #774 0::Int) +#781 := (<= 1::Int 0::Int) +#591 := (>= 1::Int 0::Int) +#492 := (or #591 #781) +#493 := (not #492) +#778 := (or #781 #781) +#782 := (not #778) +#494 := (or #782 #493) +#766 := (if #494 #489 #765) +#777 := (= #11 0::Int) +#502 := (= 1::Int 0::Int) +#503 := (or #502 #502) +#767 := (if #503 #777 #766) +#686 := (or #707 #767) +#689 := (iff #686 #685) +#691 := (iff #685 #685) +#692 := [rewrite]: #691 +#706 := (iff #767 #736) +#701 := (if false #777 #736) +#704 := (iff #701 #736) +#705 := [rewrite]: #704 +#702 := (iff #767 #701) +#699 := (iff #766 #736) +#1 := true +#714 := (if true #736 #736) +#697 := (iff #714 #736) +#698 := [rewrite]: #697 +#694 := (iff #766 #714) +#713 := (iff #765 #736) +#741 := (+ -1::Int #11) +#723 := (= #741 0::Int) +#737 := (iff #723 #736) +#733 := [rewrite]: #737 +#711 := (iff #765 #723) +#708 := (= #776 #741) +#650 := (+ #11 -1::Int) +#745 := (= #650 #741) +#732 := [rewrite]: #745 +#717 := (= #776 #650) +#720 := (= #772 -1::Int) +#639 := (= #771 -1::Int) +#647 := [rewrite]: #639 +#718 := (= #772 #771) +#715 := (= #775 1::Int) +#728 := (div -1::Int -1::Int) +#724 := (= #728 1::Int) +#731 := [rewrite]: #724 +#729 := (= #775 #728) +#730 := [monotonicity #647 #647]: #729 +#716 := [trans #730 #731]: #715 +#719 := [monotonicity #716]: #718 +#721 := [trans #719 #647]: #720 +#722 := [monotonicity #721]: #717 +#709 := [trans #722 #732]: #708 +#712 := [monotonicity #709]: #711 +#710 := [trans #712 #733]: #713 +#738 := (iff #489 #736) +#725 := (iff #489 #723) +#734 := (= #774 #741) +#651 := (= #774 #650) +#648 := (= #773 -1::Int) +#645 := (= #773 #771) +#628 := (= #495 1::Int) +#643 := [rewrite]: #628 +#646 := [monotonicity #643]: #645 +#649 := [trans #646 #647]: #648 +#744 := [monotonicity #649]: #651 +#726 := [trans #744 #732]: #734 +#735 := [monotonicity #726]: #725 +#727 := [trans #735 #733]: #738 +#740 := (iff #494 true) +#746 := (or true false) +#750 := (iff #746 true) +#748 := [rewrite]: #750 +#644 := (iff #494 #746) +#594 := (iff #493 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#634 := (iff #493 #460) +#751 := (iff #492 true) +#747 := (iff #492 #746) +#755 := (iff #781 false) +#756 := [rewrite]: #755 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#749 := [monotonicity #800 #756]: #747 +#633 := [trans #749 #748]: #751 +#635 := [monotonicity #633]: #634 +#742 := [trans #635 #448]: #594 +#592 := (iff #782 true) +#759 := (not false) +#761 := (iff #759 true) +#590 := [rewrite]: #761 +#760 := (iff #782 #759) +#752 := (iff #778 false) +#768 := (or false false) +#770 := (iff #768 false) +#611 := [rewrite]: #770 +#757 := (iff #778 #768) +#758 := [monotonicity #756 #756]: #757 +#753 := [trans #758 #611]: #752 +#754 := [monotonicity #753]: #760 +#593 := [trans #754 #590]: #592 +#739 := [monotonicity #593 #742]: #644 +#743 := [trans #739 #748]: #740 +#695 := [monotonicity #743 #727 #710]: #694 +#700 := [trans #695 #698]: #699 +#612 := (iff #503 false) +#769 := (iff #503 #768) +#762 := (iff #502 false) +#763 := [rewrite]: #762 +#764 := [monotonicity #763 #763]: #769 +#613 := [trans #764 #611]: #612 +#703 := [monotonicity #613 #700]: #702 +#696 := [trans #703 #705]: #706 +#690 := [monotonicity #696]: #689 +#687 := [trans #690 #692]: #689 +#688 := [quant-inst #9 #9]: #686 +#693 := [mp #688 #687]: #685 +#676 := [unit-resolution #693 #836]: #736 +#677 := [monotonicity #676]: #14 +#15 := (not #14) +#84 := [asserted]: #15 +[unit-resolution #84 #677]: false +unsat +b5e857fcfdcccfc1f8e76abc18cb220c195f28ba 294 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 3::Int @@ -13827,104 +12745,80 @@ #12 := (f5 #10 1::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#684 := (= #12 3::Int) +#724 := (= #12 3::Int) #24 := (:var 0 Int) #35 := (:var 1 Int) #36 := (f6 f7 #35) #37 := (f5 #36 #24) -#790 := (pattern #37) +#830 := (pattern #37) #23 := 0::Int -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #35) -#139 := (div #133 #136) -#330 := (* -1::Int #139) -#331 := (+ #37 #330) -#332 := (= #331 0::Int) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #35) +#144 := (div #138 #141) +#310 := (* -1::Int #144) +#311 := (+ #37 #310) +#312 := (= #311 0::Int) #47 := (div #35 #24) -#327 := (* -1::Int #47) -#328 := (+ #37 #327) -#329 := (= #328 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #35 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #35 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#333 := (if #294 #329 #332) -#326 := (= #37 0::Int) +#307 := (* -1::Int #47) +#308 := (+ #37 #307) +#309 := (= #308 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #35 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #35 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#313 := (if #274 #309 #312) +#306 := (= #37 0::Int) #39 := (= #24 0::Int) #38 := (= #35 0::Int) #40 := (or #38 #39) -#334 := (if #40 #326 #333) -#791 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #790) #334) -#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) -#794 := (iff #337 #791) -#792 := (iff #334 #334) -#793 := [refl]: #792 -#795 := [quant-intro #793]: #794 -#297 := (if #294 #47 #139) -#300 := (if #40 0::Int #297) -#303 := (= #37 #300) -#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) -#338 := (iff #306 #337) -#335 := (iff #303 #334) -#336 := [rewrite]: #335 -#339 := [quant-intro #336]: #338 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#234 := (if #231 #47 #139) -#237 := (if #40 0::Int #234) -#240 := (= #37 #237) -#243 := (forall (vars (?v0 Int) (?v1 Int)) #240) -#307 := (iff #243 #306) -#304 := (iff #240 #303) -#301 := (= #237 #300) -#298 := (= #234 #297) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#299 := [monotonicity #296]: #298 -#302 := [monotonicity #299]: #301 -#305 := [monotonicity #302]: #304 -#308 := [quant-intro #305]: #307 -#278 := (~ #243 #243) -#276 := (~ #240 #240) -#277 := [refl]: #276 -#279 := [nnf-pos #277]: #278 -#117 := (<= 0::Int #35) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#142 := (if #129 #47 #139) -#145 := (if #40 0::Int #142) -#148 := (= #37 #145) -#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) -#244 := (iff #151 #243) -#241 := (iff #148 #240) -#238 := (= #145 #237) -#235 := (= #142 #234) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#239 := [monotonicity #236]: #238 -#242 := [monotonicity #239]: #241 -#245 := [quant-intro #242]: #244 +#314 := (if #40 #306 #313) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #314) +#317 := (forall (vars (?v0 Int) (?v1 Int)) #314) +#834 := (iff #317 #831) +#832 := (iff #314 #314) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#277 := (if #274 #47 #144) +#280 := (if #40 0::Int #277) +#283 := (= #37 #280) +#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) +#318 := (iff #286 #317) +#315 := (iff #283 #314) +#316 := [rewrite]: #315 +#319 := [quant-intro #316]: #318 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#180 := (if #177 #47 #144) +#183 := (if #40 0::Int #180) +#186 := (= #37 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#287 := (iff #189 #286) +#284 := (iff #186 #283) +#281 := (= #183 #280) +#278 := (= #180 #277) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#279 := [monotonicity #276]: #278 +#282 := [monotonicity #279]: #281 +#285 := [monotonicity #282]: #284 +#288 := [quant-intro #285]: #287 +#249 := (~ #189 #189) +#262 := (~ #186 #186) +#263 := [refl]: #262 +#250 := [nnf-pos #263]: #249 #49 := (- #24) #48 := (- #35) #50 := (div #48 #49) @@ -13938,191 +12832,199 @@ #52 := (if #40 0::Int #51) #53 := (= #37 #52) #54 := (forall (vars (?v0 Int) (?v1 Int)) #53) -#152 := (iff #54 #151) -#149 := (iff #53 #148) -#146 := (= #52 #145) -#143 := (= #51 #142) -#140 := (= #50 #139) -#137 := (= #49 #136) -#138 := [rewrite]: #137 -#134 := (= #48 #133) -#135 := [rewrite]: #134 -#141 := [monotonicity #135 #138]: #140 -#130 := (iff #46 #129) -#127 := (iff #45 #126) -#112 := (iff #42 #111) -#113 := [rewrite]: #112 -#119 := (iff #44 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #43 #114) -#108 := (iff #41 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#144 := [monotonicity #131 #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [monotonicity #147]: #149 -#153 := [quant-intro #150]: #152 -#71 := [asserted]: #54 -#154 := [mp #71 #153]: #151 -#246 := [mp #154 #245]: #243 -#280 := [mp~ #246 #279]: #243 -#309 := [mp #280 #308]: #306 -#340 := [mp #309 #339]: #337 -#796 := [mp #340 #795]: #791 -#639 := (not #791) -#635 := (or #639 #684) -#736 := (* -1::Int 1::Int) -#732 := (* -1::Int 3::Int) -#725 := (div #732 #736) -#726 := (* -1::Int #725) -#727 := (+ #12 #726) -#722 := (= #727 0::Int) -#734 := (div 3::Int 1::Int) -#449 := (* -1::Int #734) -#731 := (+ #12 #449) -#735 := (= #731 0::Int) -#742 := (<= 1::Int 0::Int) -#551 := (>= 3::Int 0::Int) -#454 := (or #551 #742) -#455 := (not #454) -#738 := (<= 3::Int 0::Int) -#452 := (or #738 #742) -#453 := (not #452) -#733 := (or #453 #455) -#723 := (if #733 #735 #722) -#741 := (= #12 0::Int) -#463 := (= 1::Int 0::Int) -#462 := (= 3::Int 0::Int) -#737 := (or #462 #463) -#728 := (if #737 #741 #723) -#636 := (or #639 #728) -#640 := (iff #636 #635) -#642 := (iff #635 #635) -#643 := [rewrite]: #642 -#647 := (iff #728 #684) -#648 := (if false #741 #684) -#651 := (iff #648 #684) -#652 := [rewrite]: #651 -#649 := (iff #728 #648) -#645 := (iff #723 #684) -#1 := true -#664 := (if true #684 #684) -#656 := (iff #664 #684) -#667 := [rewrite]: #656 -#665 := (iff #723 #664) -#662 := (iff #722 #684) -#701 := -3::Int -#696 := (+ -3::Int #12) -#688 := (= #696 0::Int) -#691 := (iff #688 #684) -#675 := [rewrite]: #691 -#660 := (iff #722 #688) -#658 := (= #727 #696) -#683 := (+ #12 -3::Int) -#697 := (= #683 #696) -#693 := [rewrite]: #697 -#655 := (= #727 #683) -#674 := (= #726 -3::Int) -#705 := (= #732 -3::Int) -#692 := [rewrite]: #705 -#673 := (= #726 #732) -#671 := (= #725 3::Int) -#681 := (div -3::Int -1::Int) -#668 := (= #681 3::Int) -#669 := [rewrite]: #668 -#677 := (= #725 #681) -#679 := (= #736 -1::Int) -#680 := [rewrite]: #679 -#682 := [monotonicity #692 #680]: #677 -#672 := [trans #682 #669]: #671 -#670 := [monotonicity #672]: #673 -#654 := [trans #670 #692]: #674 -#657 := [monotonicity #654]: #655 -#659 := [trans #657 #693]: #658 -#661 := [monotonicity #659]: #660 -#663 := [trans #661 #675]: #662 -#676 := (iff #735 #684) -#689 := (iff #735 #688) -#698 := (= #731 #696) -#685 := (= #731 #683) -#694 := (= #449 -3::Int) -#611 := (= #449 #732) -#609 := (= #734 3::Int) -#610 := [rewrite]: #609 -#704 := [monotonicity #610]: #611 -#686 := [trans #704 #692]: #694 -#695 := [monotonicity #686]: #685 -#687 := [trans #695 #693]: #698 -#690 := [monotonicity #687]: #689 -#678 := [trans #690 #675]: #676 -#607 := (iff #733 true) -#594 := (or true false) -#702 := (iff #594 true) -#604 := [rewrite]: #702 -#606 := (iff #733 #594) -#603 := (iff #455 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#703 := (iff #455 #420) -#699 := (iff #454 true) -#595 := (iff #454 #594) -#720 := (iff #742 false) -#714 := [rewrite]: #720 -#424 := (iff #551 true) -#760 := [rewrite]: #424 -#554 := [monotonicity #760 #714]: #595 -#700 := [trans #554 #604]: #699 -#588 := [monotonicity #700]: #703 -#605 := [trans #588 #408]: #603 -#711 := (iff #453 true) -#706 := (not false) -#710 := (iff #706 true) -#708 := [rewrite]: #710 -#707 := (iff #453 #706) -#552 := (iff #452 false) -#572 := (or false false) -#716 := (iff #572 false) -#717 := [rewrite]: #716 -#721 := (iff #452 #572) -#713 := (iff #738 false) -#719 := [rewrite]: #713 -#550 := [monotonicity #719 #714]: #721 -#553 := [trans #550 #717]: #552 -#709 := [monotonicity #553]: #707 -#593 := [trans #709 #708]: #711 -#599 := [monotonicity #593 #605]: #606 -#608 := [trans #599 #604]: #607 -#666 := [monotonicity #608 #678 #663]: #665 -#646 := [trans #666 #667]: #645 -#718 := (iff #737 false) -#573 := (iff #737 #572) -#730 := (iff #463 false) -#571 := [rewrite]: #730 -#729 := (iff #462 false) -#724 := [rewrite]: #729 -#715 := [monotonicity #724 #571]: #573 -#712 := [trans #715 #717]: #718 -#650 := [monotonicity #712 #646]: #649 -#653 := [trans #650 #652]: #647 -#641 := [monotonicity #653]: #640 -#638 := [trans #641 #643]: #640 -#637 := [quant-inst #9 #11]: #636 -#644 := [mp #637 #638]: #635 -#619 := [unit-resolution #644 #796]: #684 -#512 := [monotonicity #619]: #15 +#192 := (iff #54 #189) +#147 := (if #46 #47 #144) +#150 := (if #40 0::Int #147) +#153 := (= #37 #150) +#156 := (forall (vars (?v0 Int) (?v1 Int)) #153) +#190 := (iff #156 #189) +#187 := (iff #153 #186) +#184 := (= #150 #183) +#181 := (= #147 #180) +#178 := (iff #46 #177) +#175 := (iff #45 #174) +#165 := (iff #42 #164) +#166 := [rewrite]: #165 +#172 := (iff #44 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #43 #167) +#161 := (iff #41 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#157 := (iff #54 #156) +#154 := (iff #53 #153) +#151 := (= #52 #150) +#148 := (= #51 #147) +#145 := (= #50 #144) +#142 := (= #49 #141) +#143 := [rewrite]: #142 +#139 := (= #48 #138) +#140 := [rewrite]: #139 +#146 := [monotonicity #140 #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [quant-intro #155]: #157 +#193 := [trans #158 #191]: #192 +#136 := [asserted]: #54 +#194 := [mp #136 #193]: #189 +#264 := [mp~ #194 #250]: #189 +#289 := [mp #264 #288]: #286 +#320 := [mp #289 #319]: #317 +#836 := [mp #320 #835]: #831 +#679 := (not #831) +#675 := (or #679 #724) +#776 := (* -1::Int 1::Int) +#772 := (* -1::Int 3::Int) +#765 := (div #772 #776) +#766 := (* -1::Int #765) +#767 := (+ #12 #766) +#762 := (= #767 0::Int) +#774 := (div 3::Int 1::Int) +#489 := (* -1::Int #774) +#771 := (+ #12 #489) +#775 := (= #771 0::Int) +#782 := (<= 1::Int 0::Int) +#591 := (>= 3::Int 0::Int) +#494 := (or #591 #782) +#495 := (not #494) +#778 := (<= 3::Int 0::Int) +#492 := (or #778 #782) +#493 := (not #492) +#773 := (or #493 #495) +#763 := (if #773 #775 #762) +#781 := (= #12 0::Int) +#503 := (= 1::Int 0::Int) +#502 := (= 3::Int 0::Int) +#777 := (or #502 #503) +#768 := (if #777 #781 #763) +#676 := (or #679 #768) +#680 := (iff #676 #675) +#682 := (iff #675 #675) +#683 := [rewrite]: #682 +#687 := (iff #768 #724) +#688 := (if false #781 #724) +#691 := (iff #688 #724) +#692 := [rewrite]: #691 +#689 := (iff #768 #688) +#685 := (iff #763 #724) +#1 := true +#704 := (if true #724 #724) +#696 := (iff #704 #724) +#707 := [rewrite]: #696 +#705 := (iff #763 #704) +#702 := (iff #762 #724) +#741 := -3::Int +#736 := (+ -3::Int #12) +#728 := (= #736 0::Int) +#731 := (iff #728 #724) +#715 := [rewrite]: #731 +#700 := (iff #762 #728) +#698 := (= #767 #736) +#723 := (+ #12 -3::Int) +#737 := (= #723 #736) +#733 := [rewrite]: #737 +#695 := (= #767 #723) +#714 := (= #766 -3::Int) +#745 := (= #772 -3::Int) +#732 := [rewrite]: #745 +#713 := (= #766 #772) +#711 := (= #765 3::Int) +#721 := (div -3::Int -1::Int) +#708 := (= #721 3::Int) +#709 := [rewrite]: #708 +#717 := (= #765 #721) +#719 := (= #776 -1::Int) +#720 := [rewrite]: #719 +#722 := [monotonicity #732 #720]: #717 +#712 := [trans #722 #709]: #711 +#710 := [monotonicity #712]: #713 +#694 := [trans #710 #732]: #714 +#697 := [monotonicity #694]: #695 +#699 := [trans #697 #733]: #698 +#701 := [monotonicity #699]: #700 +#703 := [trans #701 #715]: #702 +#716 := (iff #775 #724) +#729 := (iff #775 #728) +#738 := (= #771 #736) +#725 := (= #771 #723) +#734 := (= #489 -3::Int) +#651 := (= #489 #772) +#649 := (= #774 3::Int) +#650 := [rewrite]: #649 +#744 := [monotonicity #650]: #651 +#726 := [trans #744 #732]: #734 +#735 := [monotonicity #726]: #725 +#727 := [trans #735 #733]: #738 +#730 := [monotonicity #727]: #729 +#718 := [trans #730 #715]: #716 +#647 := (iff #773 true) +#634 := (or true false) +#742 := (iff #634 true) +#644 := [rewrite]: #742 +#646 := (iff #773 #634) +#643 := (iff #495 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#743 := (iff #495 #460) +#739 := (iff #494 true) +#635 := (iff #494 #634) +#760 := (iff #782 false) +#754 := [rewrite]: #760 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#594 := [monotonicity #800 #754]: #635 +#740 := [trans #594 #644]: #739 +#628 := [monotonicity #740]: #743 +#645 := [trans #628 #448]: #643 +#751 := (iff #493 true) +#746 := (not false) +#750 := (iff #746 true) +#748 := [rewrite]: #750 +#747 := (iff #493 #746) +#592 := (iff #492 false) +#612 := (or false false) +#756 := (iff #612 false) +#757 := [rewrite]: #756 +#761 := (iff #492 #612) +#753 := (iff #778 false) +#759 := [rewrite]: #753 +#590 := [monotonicity #759 #754]: #761 +#593 := [trans #590 #757]: #592 +#749 := [monotonicity #593]: #747 +#633 := [trans #749 #748]: #751 +#639 := [monotonicity #633 #645]: #646 +#648 := [trans #639 #644]: #647 +#706 := [monotonicity #648 #718 #703]: #705 +#686 := [trans #706 #707]: #685 +#758 := (iff #777 false) +#613 := (iff #777 #612) +#770 := (iff #503 false) +#611 := [rewrite]: #770 +#769 := (iff #502 false) +#764 := [rewrite]: #769 +#755 := [monotonicity #764 #611]: #613 +#752 := [trans #755 #757]: #758 +#690 := [monotonicity #752 #686]: #689 +#693 := [trans #690 #692]: #687 +#681 := [monotonicity #693]: #680 +#678 := [trans #681 #683]: #680 +#677 := [quant-inst #9 #11]: #676 +#684 := [mp #677 #678]: #675 +#659 := [unit-resolution #684 #836]: #724 +#552 := [monotonicity #659]: #15 #16 := (not #15) -#67 := [asserted]: #16 -[unit-resolution #67 #512]: false -d21ca909bb9fdc349bb51970eb9c0a08bd158bb5 359 0 -unsat +#85 := [asserted]: #16 +[unit-resolution #85 #552]: false +unsat +35f8a4cc325e6764f31a3b4bdaffd9418bbd18c9 343 0 #2 := false decl f10 :: S3 #10 := f10 @@ -14142,174 +13044,150 @@ #7 := f4 #15 := (f3 f4 #14) #16 := (= #15 f10) -#357 := (f3 f4 #11) -#441 := (= #357 f10) +#398 := (f3 f4 #11) +#482 := (= #398 f10) #18 := (:var 0 S3) #19 := (f8 f9 #18) -#770 := (pattern #19) +#811 := (pattern #19) #20 := (f3 f4 #19) #21 := (= #20 #18) -#771 := (forall (vars (?v0 S3)) (:pat #770) #21) +#812 := (forall (vars (?v0 S3)) (:pat #811) #21) #22 := (forall (vars (?v0 S3)) #21) -#774 := (iff #22 #771) -#772 := (iff #21 #21) -#773 := [refl]: #772 -#775 := [quant-intro #773]: #774 -#265 := (~ #22 #22) -#271 := (~ #21 #21) -#272 := [refl]: #271 -#266 := [nnf-pos #272]: #265 -#68 := [asserted]: #22 -#273 := [mp~ #68 #266]: #22 -#776 := [mp #273 #775]: #771 -#434 := (not #771) -#445 := (or #434 #441) -#446 := [quant-inst #10]: #445 -#663 := [unit-resolution #446 #776]: #441 -#645 := (= #15 #357) -#665 := (= #14 #11) -#749 := (div #11 1::Int) -#636 := (= #749 #11) -#537 := (= #11 #749) +#815 := (iff #22 #812) +#813 := (iff #21 #21) +#814 := [refl]: #813 +#816 := [quant-intro #814]: #815 +#257 := (~ #22 #22) +#255 := (~ #21 #21) +#256 := [refl]: #255 +#258 := [nnf-pos #256]: #257 +#86 := [asserted]: #22 +#243 := [mp~ #86 #258]: #22 +#817 := [mp #243 #816]: #812 +#475 := (not #812) +#486 := (or #475 #482) +#487 := [quant-inst #10]: #486 +#664 := [unit-resolution #487 #817]: #482 +#638 := (= #15 #398) +#663 := (= #14 #11) +#790 := (div #11 1::Int) +#625 := (= #790 #11) +#549 := (= #11 #790) #23 := 0::Int -#132 := -1::Int -#750 := (* -1::Int #749) -#641 := (+ #11 #750) -#617 := (<= #641 0::Int) -#660 := (= #641 0::Int) -#1 := true -#199 := [true-axiom]: true -#558 := (or false #660) -#559 := [th-lemma arith]: #558 -#561 := [unit-resolution #559 #199]: #660 -#562 := (not #660) -#563 := (or #562 #617) -#564 := [th-lemma arith triangle-eq]: #563 -#565 := [unit-resolution #564 #561]: #617 -#618 := (>= #641 0::Int) -#566 := (or #562 #618) -#549 := [th-lemma arith triangle-eq]: #566 -#567 := [unit-resolution #549 #561]: #618 -#538 := [th-lemma arith eq-propagate 1 1 #567 #565]: #537 -#542 := [symm #538]: #636 -#555 := (= #14 #749) -#751 := (+ #14 #750) -#608 := (<= #751 0::Int) -#746 := (= #751 0::Int) -#766 := (= #11 0::Int) -#687 := (not #766) -#659 := (= 0::Int #11) -#664 := [hypothesis]: #766 -#655 := [symm #664]: #659 -#761 := (= #14 0::Int) -#657 := (or #687 #761) -#752 := (* -1::Int #11) -#571 := (div #752 -1::Int) -#715 := (* -1::Int #571) -#718 := (+ #14 #715) -#719 := (= #718 0::Int) -#410 := (>= #11 0::Int) -#726 := (not #410) -#404 := (<= #11 0::Int) -#454 := (not #404) -#723 := (or #454 #726) -#721 := (if #723 #746 #719) -#553 := (if #766 #761 #721) +#137 := -1::Int +#791 := (* -1::Int #790) +#588 := (+ #11 #791) +#600 := (<= #588 0::Int) +#627 := (= #588 0::Int) +#1 := true +#83 := [true-axiom]: true +#555 := (or false #627) +#558 := [th-lemma arith]: #555 +#559 := [unit-resolution #558 #83]: #627 +#563 := (not #627) +#556 := (or #563 #600) +#564 := [th-lemma arith triangle-eq]: #556 +#557 := [unit-resolution #564 #559]: #600 +#602 := (>= #588 0::Int) +#560 := (or #563 #602) +#561 := [th-lemma arith triangle-eq]: #560 +#547 := [unit-resolution #561 #559]: #602 +#550 := [th-lemma arith eq-propagate 1 1 #547 #557]: #549 +#533 := [symm #550]: #625 +#552 := (= #14 #790) +#792 := (+ #14 #791) +#649 := (<= #792 0::Int) +#787 := (= #792 0::Int) +#807 := (= #11 0::Int) +#728 := (not #807) +#697 := (= 0::Int #11) +#665 := [hypothesis]: #807 +#708 := [symm #665]: #697 +#802 := (= #14 0::Int) +#666 := (or #728 #802) +#793 := (* -1::Int #11) +#612 := (div #793 -1::Int) +#756 := (* -1::Int #612) +#759 := (+ #14 #756) +#760 := (= #759 0::Int) +#451 := (>= #11 0::Int) +#767 := (not #451) +#445 := (<= #11 0::Int) +#495 := (not #445) +#764 := (or #495 #767) +#762 := (if #764 #787 #760) +#594 := (if #807 #802 #762) #24 := (:var 0 Int) #35 := (:var 1 Int) #36 := (f6 f7 #35) #37 := (f5 #36 #24) -#790 := (pattern #37) -#136 := (* -1::Int #24) -#133 := (* -1::Int #35) -#139 := (div #133 #136) -#330 := (* -1::Int #139) -#331 := (+ #37 #330) -#332 := (= #331 0::Int) +#831 := (pattern #37) +#141 := (* -1::Int #24) +#138 := (* -1::Int #35) +#144 := (div #138 #141) +#310 := (* -1::Int #144) +#311 := (+ #37 #310) +#312 := (= #311 0::Int) #47 := (div #35 #24) -#327 := (* -1::Int #47) -#328 := (+ #37 #327) -#329 := (= #328 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #35 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #35 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#333 := (if #294 #329 #332) -#326 := (= #37 0::Int) +#307 := (* -1::Int #47) +#308 := (+ #37 #307) +#309 := (= #308 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #35 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #35 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#313 := (if #274 #309 #312) +#306 := (= #37 0::Int) #39 := (= #24 0::Int) #38 := (= #35 0::Int) #40 := (or #38 #39) -#334 := (if #40 #326 #333) -#791 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #790) #334) -#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) -#794 := (iff #337 #791) -#792 := (iff #334 #334) -#793 := [refl]: #792 -#795 := [quant-intro #793]: #794 -#297 := (if #294 #47 #139) -#300 := (if #40 0::Int #297) -#303 := (= #37 #300) -#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) -#338 := (iff #306 #337) -#335 := (iff #303 #334) -#336 := [rewrite]: #335 -#339 := [quant-intro #336]: #338 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#234 := (if #231 #47 #139) -#237 := (if #40 0::Int #234) -#240 := (= #37 #237) -#243 := (forall (vars (?v0 Int) (?v1 Int)) #240) -#307 := (iff #243 #306) -#304 := (iff #240 #303) -#301 := (= #237 #300) -#298 := (= #234 #297) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#299 := [monotonicity #296]: #298 -#302 := [monotonicity #299]: #301 -#305 := [monotonicity #302]: #304 -#308 := [quant-intro #305]: #307 -#278 := (~ #243 #243) -#276 := (~ #240 #240) -#277 := [refl]: #276 -#279 := [nnf-pos #277]: #278 -#117 := (<= 0::Int #35) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#142 := (if #129 #47 #139) -#145 := (if #40 0::Int #142) -#148 := (= #37 #145) -#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) -#244 := (iff #151 #243) -#241 := (iff #148 #240) -#238 := (= #145 #237) -#235 := (= #142 #234) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#239 := [monotonicity #236]: #238 -#242 := [monotonicity #239]: #241 -#245 := [quant-intro #242]: #244 +#314 := (if #40 #306 #313) +#832 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #831) #314) +#317 := (forall (vars (?v0 Int) (?v1 Int)) #314) +#835 := (iff #317 #832) +#833 := (iff #314 #314) +#834 := [refl]: #833 +#836 := [quant-intro #834]: #835 +#277 := (if #274 #47 #144) +#280 := (if #40 0::Int #277) +#283 := (= #37 #280) +#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) +#318 := (iff #286 #317) +#315 := (iff #283 #314) +#316 := [rewrite]: #315 +#319 := [quant-intro #316]: #318 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#180 := (if #177 #47 #144) +#183 := (if #40 0::Int #180) +#186 := (= #37 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#287 := (iff #189 #286) +#284 := (iff #186 #283) +#281 := (= #183 #280) +#278 := (= #180 #277) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#279 := [monotonicity #276]: #278 +#282 := [monotonicity #279]: #281 +#285 := [monotonicity #282]: #284 +#288 := [quant-intro #285]: #287 +#249 := (~ #189 #189) +#262 := (~ #186 #186) +#263 := [refl]: #262 +#250 := [nnf-pos #263]: #249 #49 := (- #24) #48 := (- #35) #50 := (div #48 #49) @@ -14323,166 +13201,174 @@ #52 := (if #40 0::Int #51) #53 := (= #37 #52) #54 := (forall (vars (?v0 Int) (?v1 Int)) #53) -#152 := (iff #54 #151) -#149 := (iff #53 #148) -#146 := (= #52 #145) -#143 := (= #51 #142) -#140 := (= #50 #139) -#137 := (= #49 #136) -#138 := [rewrite]: #137 -#134 := (= #48 #133) -#135 := [rewrite]: #134 -#141 := [monotonicity #135 #138]: #140 -#130 := (iff #46 #129) -#127 := (iff #45 #126) -#112 := (iff #42 #111) -#113 := [rewrite]: #112 -#119 := (iff #44 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #43 #114) -#108 := (iff #41 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#144 := [monotonicity #131 #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [monotonicity #147]: #149 -#153 := [quant-intro #150]: #152 -#71 := [asserted]: #54 -#154 := [mp #71 #153]: #151 -#246 := [mp #154 #245]: #243 -#280 := [mp~ #246 #279]: #243 -#309 := [mp #280 #308]: #306 -#340 := [mp #309 #339]: #337 -#796 := [mp #340 #795]: #791 -#709 := (not #791) -#710 := (or #709 #553) -#390 := (* -1::Int 1::Int) -#753 := (div #752 #390) -#755 := (* -1::Int #753) -#395 := (+ #14 #755) -#396 := (= #395 0::Int) -#745 := (<= 1::Int 0::Int) -#411 := (or #410 #745) -#747 := (not #411) -#408 := (or #404 #745) -#409 := (not #408) -#748 := (or #409 #747) -#756 := (if #748 #746 #396) -#767 := (= 1::Int 0::Int) -#420 := (or #766 #767) -#754 := (if #420 #761 #756) -#708 := (or #709 #754) -#593 := (iff #708 #710) -#595 := (iff #710 #710) -#554 := [rewrite]: #595 -#706 := (iff #754 #553) -#550 := (iff #756 #721) -#720 := (iff #396 #719) -#712 := (= #395 #718) -#716 := (= #755 #715) -#572 := (= #753 #571) -#724 := (= #390 -1::Int) -#730 := [rewrite]: #724 -#573 := [monotonicity #730]: #572 -#717 := [monotonicity #573]: #716 -#713 := [monotonicity #717]: #712 -#714 := [monotonicity #713]: #720 -#728 := (iff #748 #723) -#727 := (iff #747 #726) -#736 := (iff #411 #410) -#734 := (or #410 false) -#735 := (iff #734 #410) -#732 := [rewrite]: #735 -#449 := (iff #411 #734) -#740 := (iff #745 false) -#462 := [rewrite]: #740 -#731 := [monotonicity #462]: #449 -#725 := [trans #731 #732]: #736 -#722 := [monotonicity #725]: #727 -#455 := (iff #409 #454) -#452 := (iff #408 #404) -#463 := (or #404 false) -#738 := (iff #463 #404) -#742 := [rewrite]: #738 -#737 := (iff #408 #463) -#741 := [monotonicity #462]: #737 -#453 := [trans #741 #742]: #452 -#733 := [monotonicity #453]: #455 -#729 := [monotonicity #733 #722]: #728 -#552 := [monotonicity #729 #714]: #550 -#363 := (iff #420 #766) -#744 := (or #766 false) -#468 := (iff #744 #766) -#469 := [rewrite]: #468 -#466 := (iff #420 #744) -#757 := (iff #767 false) -#743 := [rewrite]: #757 -#467 := [monotonicity #743]: #466 -#739 := [trans #467 #469]: #363 -#707 := [monotonicity #739 #552]: #706 -#594 := [monotonicity #707]: #593 -#702 := [trans #594 #554]: #593 -#711 := [quant-inst #11 #13]: #708 -#604 := [mp #711 #702]: #710 -#631 := [unit-resolution #604 #796]: #553 -#698 := (not #553) -#688 := (or #698 #687 #761) -#689 := [def-axiom]: #688 -#658 := [unit-resolution #689 #631]: #657 -#646 := [unit-resolution #658 #664]: #761 -#666 := [trans #646 #655]: #665 -#648 := [monotonicity #666]: #645 -#661 := [trans #648 #663]: #16 +#192 := (iff #54 #189) +#147 := (if #46 #47 #144) +#150 := (if #40 0::Int #147) +#153 := (= #37 #150) +#156 := (forall (vars (?v0 Int) (?v1 Int)) #153) +#190 := (iff #156 #189) +#187 := (iff #153 #186) +#184 := (= #150 #183) +#181 := (= #147 #180) +#178 := (iff #46 #177) +#175 := (iff #45 #174) +#165 := (iff #42 #164) +#166 := [rewrite]: #165 +#172 := (iff #44 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #43 #167) +#161 := (iff #41 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#157 := (iff #54 #156) +#154 := (iff #53 #153) +#151 := (= #52 #150) +#148 := (= #51 #147) +#145 := (= #50 #144) +#142 := (= #49 #141) +#143 := [rewrite]: #142 +#139 := (= #48 #138) +#140 := [rewrite]: #139 +#146 := [monotonicity #140 #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [quant-intro #155]: #157 +#193 := [trans #158 #191]: #192 +#136 := [asserted]: #54 +#194 := [mp #136 #193]: #189 +#264 := [mp~ #194 #250]: #189 +#289 := [mp #264 #288]: #286 +#320 := [mp #289 #319]: #317 +#837 := [mp #320 #836]: #832 +#750 := (not #832) +#751 := (or #750 #594) +#431 := (* -1::Int 1::Int) +#794 := (div #793 #431) +#796 := (* -1::Int #794) +#436 := (+ #14 #796) +#437 := (= #436 0::Int) +#786 := (<= 1::Int 0::Int) +#452 := (or #451 #786) +#788 := (not #452) +#449 := (or #445 #786) +#450 := (not #449) +#789 := (or #450 #788) +#797 := (if #789 #787 #437) +#808 := (= 1::Int 0::Int) +#461 := (or #807 #808) +#795 := (if #461 #802 #797) +#749 := (or #750 #795) +#634 := (iff #749 #751) +#636 := (iff #751 #751) +#595 := [rewrite]: #636 +#747 := (iff #795 #594) +#591 := (iff #797 #762) +#761 := (iff #437 #760) +#753 := (= #436 #759) +#757 := (= #796 #756) +#613 := (= #794 #612) +#765 := (= #431 -1::Int) +#771 := [rewrite]: #765 +#614 := [monotonicity #771]: #613 +#758 := [monotonicity #614]: #757 +#754 := [monotonicity #758]: #753 +#755 := [monotonicity #754]: #761 +#769 := (iff #789 #764) +#768 := (iff #788 #767) +#777 := (iff #452 #451) +#775 := (or #451 false) +#776 := (iff #775 #451) +#773 := [rewrite]: #776 +#490 := (iff #452 #775) +#781 := (iff #786 false) +#503 := [rewrite]: #781 +#772 := [monotonicity #503]: #490 +#766 := [trans #772 #773]: #777 +#763 := [monotonicity #766]: #768 +#496 := (iff #450 #495) +#493 := (iff #449 #445) +#504 := (or #445 false) +#779 := (iff #504 #445) +#783 := [rewrite]: #779 +#778 := (iff #449 #504) +#782 := [monotonicity #503]: #778 +#494 := [trans #782 #783]: #493 +#774 := [monotonicity #494]: #496 +#770 := [monotonicity #774 #763]: #769 +#593 := [monotonicity #770 #755]: #591 +#404 := (iff #461 #807) +#785 := (or #807 false) +#509 := (iff #785 #807) +#510 := [rewrite]: #509 +#507 := (iff #461 #785) +#798 := (iff #808 false) +#784 := [rewrite]: #798 +#508 := [monotonicity #784]: #507 +#780 := [trans #508 #510]: #404 +#748 := [monotonicity #780 #593]: #747 +#635 := [monotonicity #748]: #634 +#743 := [trans #635 #595]: #634 +#752 := [quant-inst #11 #13]: #749 +#645 := [mp #752 #743]: #751 +#672 := [unit-resolution #645 #837]: #594 +#739 := (not #594) +#729 := (or #739 #728 #802) +#730 := [def-axiom]: #729 +#671 := [unit-resolution #730 #672]: #666 +#667 := [unit-resolution #671 #665]: #802 +#631 := [trans #667 #708]: #663 +#597 := [monotonicity #631]: #638 +#628 := [trans #597 #664]: #16 #17 := (not #16) -#67 := [asserted]: #17 -#662 := [unit-resolution #67 #661]: false -#623 := [lemma #662]: #687 -#621 := (or #766 #746) -#605 := (not #723) -#683 := (not #746) -#627 := [hypothesis]: #683 -#628 := [hypothesis]: #687 -#632 := (or #766 #721) -#690 := (or #698 #766 #721) -#684 := [def-axiom]: #690 -#633 := [unit-resolution #684 #631]: #632 -#629 := [unit-resolution #633 #628]: #721 -#701 := (not #721) -#705 := (or #701 #605 #746) -#692 := [def-axiom]: #705 -#634 := [unit-resolution #692 #629 #627]: #605 -#588 := (or #723 #410) -#603 := [def-axiom]: #588 -#614 := [unit-resolution #603 #634]: #410 -#700 := (or #723 #404) -#703 := [def-axiom]: #700 -#560 := [unit-resolution #703 #634]: #404 -#615 := (or #766 #454 #726) -#596 := [th-lemma arith triangle-eq]: #615 -#620 := [unit-resolution #596 #628 #560 #614]: false -#616 := [lemma #620]: #621 -#583 := [unit-resolution #616 #623]: #746 -#584 := (or #683 #608) -#585 := [th-lemma arith triangle-eq]: #584 -#570 := [unit-resolution #585 #583]: #608 -#609 := (>= #751 0::Int) -#586 := (or #683 #609) -#547 := [th-lemma arith triangle-eq]: #586 -#548 := [unit-resolution #547 #583]: #609 -#557 := [th-lemma arith eq-propagate 1 1 #548 #570]: #555 -#543 := [trans #557 #542]: #665 -#544 := [monotonicity #543]: #645 -#387 := [trans #544 #663]: #16 -[unit-resolution #67 #387]: false -6833c76ab94aad24a4f35a6e42e2cc121c836709 297 0 -unsat +#85 := [asserted]: #17 +#630 := [unit-resolution #85 #628]: false +#632 := [lemma #630]: #728 +#662 := (or #807 #787) +#646 := (not #764) +#724 := (not #787) +#668 := [hypothesis]: #724 +#669 := [hypothesis]: #728 +#673 := (or #807 #762) +#731 := (or #739 #807 #762) +#725 := [def-axiom]: #731 +#674 := [unit-resolution #725 #672]: #673 +#670 := [unit-resolution #674 #669]: #762 +#742 := (not #762) +#746 := (or #742 #646 #787) +#733 := [def-axiom]: #746 +#675 := [unit-resolution #733 #670 #668]: #646 +#629 := (or #764 #451) +#644 := [def-axiom]: #629 +#655 := [unit-resolution #644 #675]: #451 +#741 := (or #764 #445) +#744 := [def-axiom]: #741 +#601 := [unit-resolution #744 #675]: #445 +#656 := (or #807 #495 #767) +#637 := [th-lemma arith triangle-eq]: #656 +#661 := [unit-resolution #637 #669 #601 #655]: false +#657 := [lemma #661]: #662 +#565 := [unit-resolution #657 #632]: #787 +#568 := (or #724 #649) +#570 := [th-lemma arith triangle-eq]: #568 +#571 := [unit-resolution #570 #565]: #649 +#650 := (>= #792 0::Int) +#567 := (or #724 #650) +#572 := [th-lemma arith triangle-eq]: #567 +#562 := [unit-resolution #572 #565]: #650 +#554 := [th-lemma arith eq-propagate 1 1 #562 #571]: #552 +#535 := [trans #554 #533]: #663 +#536 := [monotonicity #535]: #638 +#537 := [trans #536 #664]: #16 +[unit-resolution #85 #537]: false +unsat +634d492b81b7e3859d758e0f7fab5f7237c6b80a 281 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -14498,103 +13384,79 @@ #12 := (f5 #10 3::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#737 := (= #12 0::Int) +#777 := (= #12 0::Int) #23 := (:var 0 Int) #34 := (:var 1 Int) #35 := (f6 f7 #34) #36 := (f5 #35 #23) -#790 := (pattern #36) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #34) -#138 := (div #132 #135) -#329 := (* -1::Int #138) -#330 := (+ #36 #329) -#331 := (= #330 0::Int) +#830 := (pattern #36) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #34) +#143 := (div #137 #140) +#309 := (* -1::Int #143) +#310 := (+ #36 #309) +#311 := (= #310 0::Int) #46 := (div #34 #23) -#326 := (* -1::Int #46) -#327 := (+ #36 #326) -#328 := (= #327 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #34 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #34 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#332 := (if #293 #328 #331) -#325 := (= #36 0::Int) +#306 := (* -1::Int #46) +#307 := (+ #36 #306) +#308 := (= #307 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #34 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #34 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#312 := (if #273 #308 #311) +#305 := (= #36 0::Int) #38 := (= #23 0::Int) #37 := (= #34 0::Int) #39 := (or #37 #38) -#333 := (if #39 #325 #332) -#791 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #790) #333) -#336 := (forall (vars (?v0 Int) (?v1 Int)) #333) -#794 := (iff #336 #791) -#792 := (iff #333 #333) -#793 := [refl]: #792 -#795 := [quant-intro #793]: #794 -#296 := (if #293 #46 #138) -#299 := (if #39 0::Int #296) -#302 := (= #36 #299) -#305 := (forall (vars (?v0 Int) (?v1 Int)) #302) -#337 := (iff #305 #336) -#334 := (iff #302 #333) -#335 := [rewrite]: #334 -#338 := [quant-intro #335]: #337 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#233 := (if #230 #46 #138) -#236 := (if #39 0::Int #233) -#239 := (= #36 #236) -#242 := (forall (vars (?v0 Int) (?v1 Int)) #239) -#306 := (iff #242 #305) -#303 := (iff #239 #302) -#300 := (= #236 #299) -#297 := (= #233 #296) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#298 := [monotonicity #295]: #297 -#301 := [monotonicity #298]: #300 -#304 := [monotonicity #301]: #303 -#307 := [quant-intro #304]: #306 -#277 := (~ #242 #242) -#275 := (~ #239 #239) -#276 := [refl]: #275 -#278 := [nnf-pos #276]: #277 -#116 := (<= 0::Int #34) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#141 := (if #128 #46 #138) -#144 := (if #39 0::Int #141) -#147 := (= #36 #144) -#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) -#243 := (iff #150 #242) -#240 := (iff #147 #239) -#237 := (= #144 #236) -#234 := (= #141 #233) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [quant-intro #241]: #243 +#313 := (if #39 #305 #312) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #313) +#316 := (forall (vars (?v0 Int) (?v1 Int)) #313) +#834 := (iff #316 #831) +#832 := (iff #313 #313) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#276 := (if #273 #46 #143) +#279 := (if #39 0::Int #276) +#282 := (= #36 #279) +#285 := (forall (vars (?v0 Int) (?v1 Int)) #282) +#317 := (iff #285 #316) +#314 := (iff #282 #313) +#315 := [rewrite]: #314 +#318 := [quant-intro #315]: #317 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#179 := (if #176 #46 #143) +#182 := (if #39 0::Int #179) +#185 := (= #36 #182) +#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) +#286 := (iff #188 #285) +#283 := (iff #185 #282) +#280 := (= #182 #279) +#277 := (= #179 #276) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#278 := [monotonicity #275]: #277 +#281 := [monotonicity #278]: #280 +#284 := [monotonicity #281]: #283 +#287 := [quant-intro #284]: #286 +#248 := (~ #188 #188) +#261 := (~ #185 #185) +#262 := [refl]: #261 +#249 := [nnf-pos #262]: #248 #48 := (- #23) #47 := (- #34) #49 := (div #47 #48) @@ -14608,179 +13470,187 @@ #51 := (if #39 0::Int #50) #52 := (= #36 #51) #53 := (forall (vars (?v0 Int) (?v1 Int)) #52) -#151 := (iff #53 #150) -#148 := (iff #52 #147) -#145 := (= #51 #144) -#142 := (= #50 #141) -#139 := (= #49 #138) -#136 := (= #48 #135) -#137 := [rewrite]: #136 -#133 := (= #47 #132) -#134 := [rewrite]: #133 -#140 := [monotonicity #134 #137]: #139 -#129 := (iff #45 #128) -#126 := (iff #44 #125) -#111 := (iff #41 #110) -#112 := [rewrite]: #111 -#118 := (iff #43 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #42 #113) -#107 := (iff #40 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#143 := [monotonicity #130 #140]: #142 -#146 := [monotonicity #143]: #145 -#149 := [monotonicity #146]: #148 -#152 := [quant-intro #149]: #151 -#70 := [asserted]: #53 -#153 := [mp #70 #152]: #150 -#245 := [mp #153 #244]: #242 -#279 := [mp~ #245 #278]: #242 -#308 := [mp #279 #307]: #305 -#339 := [mp #308 #338]: #336 -#796 := [mp #339 #795]: #791 -#665 := (not #791) -#666 := (or #665 #737) -#732 := (* -1::Int 3::Int) -#735 := (* -1::Int 0::Int) -#736 := (div #735 #732) -#725 := (* -1::Int #736) -#726 := (+ #12 #725) -#727 := (= #726 0::Int) -#733 := (div 0::Int 3::Int) -#734 := (* -1::Int #733) -#449 := (+ #12 #734) -#731 := (= #449 0::Int) -#738 := (<= 3::Int 0::Int) -#551 := (>= 0::Int 0::Int) -#453 := (or #551 #738) -#454 := (not #453) -#741 := (<= 0::Int 0::Int) -#742 := (or #741 #738) -#452 := (not #742) -#455 := (or #452 #454) -#722 := (if #455 #731 #727) -#462 := (= 3::Int 0::Int) -#740 := (= 0::Int 0::Int) -#463 := (or #740 #462) -#723 := (if #463 #737 #722) -#656 := (or #665 #723) -#645 := (iff #656 #666) -#648 := (iff #666 #666) -#649 := [rewrite]: #648 -#663 := (iff #723 #737) -#1 := true -#658 := (if true #737 #737) -#661 := (iff #658 #737) -#662 := [rewrite]: #661 -#659 := (iff #723 #658) -#655 := (iff #722 #737) -#672 := (if false #737 #737) -#674 := (iff #672 #737) -#654 := [rewrite]: #674 -#673 := (iff #722 #672) -#669 := (iff #727 #737) -#682 := (= #726 #12) -#701 := (+ #12 0::Int) -#694 := (= #701 #12) -#686 := [rewrite]: #694 -#681 := (= #726 #701) -#679 := (= #725 0::Int) -#609 := (= #735 0::Int) -#610 := [rewrite]: #609 -#676 := (= #725 #735) -#691 := (= #736 0::Int) -#697 := -3::Int -#687 := (div 0::Int -3::Int) -#690 := (= #687 0::Int) -#684 := [rewrite]: #690 -#688 := (= #736 #687) -#693 := (= #732 -3::Int) -#698 := [rewrite]: #693 -#689 := [monotonicity #610 #698]: #688 -#675 := [trans #689 #684]: #691 -#678 := [monotonicity #675]: #676 -#680 := [trans #678 #610]: #679 -#677 := [monotonicity #680]: #681 -#668 := [trans #677 #686]: #682 -#671 := [monotonicity #668]: #669 -#695 := (iff #731 #737) -#683 := (= #449 #12) -#705 := (= #449 #701) -#611 := (= #734 0::Int) -#607 := (= #734 #735) -#606 := (= #733 0::Int) -#599 := [rewrite]: #606 -#608 := [monotonicity #599]: #607 -#704 := [trans #608 #610]: #611 -#692 := [monotonicity #704]: #705 -#685 := [trans #692 #686]: #683 -#696 := [monotonicity #685]: #695 -#603 := (iff #455 false) -#604 := (or false false) -#703 := (iff #604 false) -#588 := [rewrite]: #703 -#699 := (iff #455 #604) -#554 := (iff #454 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#594 := (iff #454 #420) -#711 := (iff #453 true) -#571 := (or true false) -#715 := (iff #571 true) -#716 := [rewrite]: #715 -#710 := (iff #453 #571) -#719 := (iff #738 false) -#720 := [rewrite]: #719 -#424 := (iff #551 true) -#760 := [rewrite]: #424 -#708 := [monotonicity #760 #720]: #710 -#593 := [trans #708 #716]: #711 -#595 := [monotonicity #593]: #594 -#702 := [trans #595 #408]: #554 -#707 := (iff #452 false) -#553 := (iff #452 #420) -#550 := (iff #742 true) -#714 := (iff #742 #571) -#712 := (iff #741 true) -#713 := [rewrite]: #712 -#721 := [monotonicity #713 #720]: #714 -#552 := [trans #721 #716]: #550 -#706 := [monotonicity #552]: #553 -#709 := [trans #706 #408]: #707 -#700 := [monotonicity #709 #702]: #699 -#605 := [trans #700 #588]: #603 -#670 := [monotonicity #605 #696 #671]: #673 -#657 := [trans #670 #654]: #655 -#717 := (iff #463 true) -#572 := (iff #463 #571) -#724 := (iff #462 false) -#730 := [rewrite]: #724 -#728 := (iff #740 true) -#729 := [rewrite]: #728 -#573 := [monotonicity #729 #730]: #572 -#718 := [trans #573 #716]: #717 -#660 := [monotonicity #718 #657]: #659 -#664 := [trans #660 #662]: #663 -#646 := [monotonicity #664]: #645 -#650 := [trans #646 #649]: #645 -#667 := [quant-inst #9 #11]: #656 -#651 := [mp #667 #650]: #666 -#647 := [unit-resolution #651 #796]: #737 -#653 := [monotonicity #647]: #15 +#191 := (iff #53 #188) +#146 := (if #45 #46 #143) +#149 := (if #39 0::Int #146) +#152 := (= #36 #149) +#155 := (forall (vars (?v0 Int) (?v1 Int)) #152) +#189 := (iff #155 #188) +#186 := (iff #152 #185) +#183 := (= #149 #182) +#180 := (= #146 #179) +#177 := (iff #45 #176) +#174 := (iff #44 #173) +#164 := (iff #41 #163) +#165 := [rewrite]: #164 +#171 := (iff #43 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #42 #166) +#160 := (iff #40 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#181 := [monotonicity #178]: #180 +#184 := [monotonicity #181]: #183 +#187 := [monotonicity #184]: #186 +#190 := [quant-intro #187]: #189 +#156 := (iff #53 #155) +#153 := (iff #52 #152) +#150 := (= #51 #149) +#147 := (= #50 #146) +#144 := (= #49 #143) +#141 := (= #48 #140) +#142 := [rewrite]: #141 +#138 := (= #47 #137) +#139 := [rewrite]: #138 +#145 := [monotonicity #139 #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [monotonicity #148]: #150 +#154 := [monotonicity #151]: #153 +#157 := [quant-intro #154]: #156 +#192 := [trans #157 #190]: #191 +#135 := [asserted]: #53 +#193 := [mp #135 #192]: #188 +#263 := [mp~ #193 #249]: #188 +#288 := [mp #263 #287]: #285 +#319 := [mp #288 #318]: #316 +#836 := [mp #319 #835]: #831 +#705 := (not #831) +#706 := (or #705 #777) +#772 := (* -1::Int 3::Int) +#775 := (* -1::Int 0::Int) +#776 := (div #775 #772) +#765 := (* -1::Int #776) +#766 := (+ #12 #765) +#767 := (= #766 0::Int) +#773 := (div 0::Int 3::Int) +#774 := (* -1::Int #773) +#489 := (+ #12 #774) +#771 := (= #489 0::Int) +#778 := (<= 3::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#493 := (or #591 #778) +#494 := (not #493) +#781 := (<= 0::Int 0::Int) +#782 := (or #781 #778) +#492 := (not #782) +#495 := (or #492 #494) +#762 := (if #495 #771 #767) +#502 := (= 3::Int 0::Int) +#780 := (= 0::Int 0::Int) +#503 := (or #780 #502) +#763 := (if #503 #777 #762) +#696 := (or #705 #763) +#685 := (iff #696 #706) +#688 := (iff #706 #706) +#689 := [rewrite]: #688 +#703 := (iff #763 #777) +#1 := true +#698 := (if true #777 #777) +#701 := (iff #698 #777) +#702 := [rewrite]: #701 +#699 := (iff #763 #698) +#695 := (iff #762 #777) +#712 := (if false #777 #777) +#714 := (iff #712 #777) +#694 := [rewrite]: #714 +#713 := (iff #762 #712) +#709 := (iff #767 #777) +#722 := (= #766 #12) +#741 := (+ #12 0::Int) +#734 := (= #741 #12) +#726 := [rewrite]: #734 +#721 := (= #766 #741) +#719 := (= #765 0::Int) +#649 := (= #775 0::Int) +#650 := [rewrite]: #649 +#716 := (= #765 #775) +#731 := (= #776 0::Int) +#737 := -3::Int +#727 := (div 0::Int -3::Int) +#730 := (= #727 0::Int) +#724 := [rewrite]: #730 +#728 := (= #776 #727) +#733 := (= #772 -3::Int) +#738 := [rewrite]: #733 +#729 := [monotonicity #650 #738]: #728 +#715 := [trans #729 #724]: #731 +#718 := [monotonicity #715]: #716 +#720 := [trans #718 #650]: #719 +#717 := [monotonicity #720]: #721 +#708 := [trans #717 #726]: #722 +#711 := [monotonicity #708]: #709 +#735 := (iff #771 #777) +#723 := (= #489 #12) +#745 := (= #489 #741) +#651 := (= #774 0::Int) +#647 := (= #774 #775) +#646 := (= #773 0::Int) +#639 := [rewrite]: #646 +#648 := [monotonicity #639]: #647 +#744 := [trans #648 #650]: #651 +#732 := [monotonicity #744]: #745 +#725 := [trans #732 #726]: #723 +#736 := [monotonicity #725]: #735 +#643 := (iff #495 false) +#644 := (or false false) +#743 := (iff #644 false) +#628 := [rewrite]: #743 +#739 := (iff #495 #644) +#594 := (iff #494 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#634 := (iff #494 #460) +#751 := (iff #493 true) +#611 := (or true false) +#755 := (iff #611 true) +#756 := [rewrite]: #755 +#750 := (iff #493 #611) +#759 := (iff #778 false) +#760 := [rewrite]: #759 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#748 := [monotonicity #800 #760]: #750 +#633 := [trans #748 #756]: #751 +#635 := [monotonicity #633]: #634 +#742 := [trans #635 #448]: #594 +#747 := (iff #492 false) +#593 := (iff #492 #460) +#590 := (iff #782 true) +#754 := (iff #782 #611) +#752 := (iff #781 true) +#753 := [rewrite]: #752 +#761 := [monotonicity #753 #760]: #754 +#592 := [trans #761 #756]: #590 +#746 := [monotonicity #592]: #593 +#749 := [trans #746 #448]: #747 +#740 := [monotonicity #749 #742]: #739 +#645 := [trans #740 #628]: #643 +#710 := [monotonicity #645 #736 #711]: #713 +#697 := [trans #710 #694]: #695 +#757 := (iff #503 true) +#612 := (iff #503 #611) +#764 := (iff #502 false) +#770 := [rewrite]: #764 +#768 := (iff #780 true) +#769 := [rewrite]: #768 +#613 := [monotonicity #769 #770]: #612 +#758 := [trans #613 #756]: #757 +#700 := [monotonicity #758 #697]: #699 +#704 := [trans #700 #702]: #703 +#686 := [monotonicity #704]: #685 +#690 := [trans #686 #689]: #685 +#707 := [quant-inst #9 #11]: #696 +#691 := [mp #707 #690]: #706 +#687 := [unit-resolution #691 #836]: #777 +#693 := [monotonicity #687]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #653]: false -3a5431ba2dda9bb93e22830a67e761b1aca1ace1 314 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #693]: false +unsat +64f54c697dbe7c3319cdf093c32632d4b6ddde2a 298 0 #2 := false decl f3 :: (-> S2 Int S3) #14 := 0::Int @@ -14797,103 +13667,79 @@ #12 := (f5 #10 3::Int) #13 := (f3 f4 #12) #16 := (= #13 #15) -#737 := (= #12 0::Int) +#777 := (= #12 0::Int) #24 := (:var 0 Int) #35 := (:var 1 Int) #36 := (f6 f7 #35) #37 := (f5 #36 #24) -#790 := (pattern #37) -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #35) -#139 := (div #133 #136) -#330 := (* -1::Int #139) -#331 := (+ #37 #330) -#332 := (= #331 0::Int) +#830 := (pattern #37) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #35) +#144 := (div #138 #141) +#310 := (* -1::Int #144) +#311 := (+ #37 #310) +#312 := (= #311 0::Int) #47 := (div #35 #24) -#327 := (* -1::Int #47) -#328 := (+ #37 #327) -#329 := (= #328 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #35 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #35 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#333 := (if #294 #329 #332) -#326 := (= #37 0::Int) +#307 := (* -1::Int #47) +#308 := (+ #37 #307) +#309 := (= #308 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #35 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #35 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#313 := (if #274 #309 #312) +#306 := (= #37 0::Int) #39 := (= #24 0::Int) #38 := (= #35 0::Int) #40 := (or #38 #39) -#334 := (if #40 #326 #333) -#791 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #790) #334) -#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) -#794 := (iff #337 #791) -#792 := (iff #334 #334) -#793 := [refl]: #792 -#795 := [quant-intro #793]: #794 -#297 := (if #294 #47 #139) -#300 := (if #40 0::Int #297) -#303 := (= #37 #300) -#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) -#338 := (iff #306 #337) -#335 := (iff #303 #334) -#336 := [rewrite]: #335 -#339 := [quant-intro #336]: #338 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#234 := (if #231 #47 #139) -#237 := (if #40 0::Int #234) -#240 := (= #37 #237) -#243 := (forall (vars (?v0 Int) (?v1 Int)) #240) -#307 := (iff #243 #306) -#304 := (iff #240 #303) -#301 := (= #237 #300) -#298 := (= #234 #297) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#299 := [monotonicity #296]: #298 -#302 := [monotonicity #299]: #301 -#305 := [monotonicity #302]: #304 -#308 := [quant-intro #305]: #307 -#278 := (~ #243 #243) -#276 := (~ #240 #240) -#277 := [refl]: #276 -#279 := [nnf-pos #277]: #278 -#117 := (<= 0::Int #35) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#142 := (if #129 #47 #139) -#145 := (if #40 0::Int #142) -#148 := (= #37 #145) -#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) -#244 := (iff #151 #243) -#241 := (iff #148 #240) -#238 := (= #145 #237) -#235 := (= #142 #234) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#239 := [monotonicity #236]: #238 -#242 := [monotonicity #239]: #241 -#245 := [quant-intro #242]: #244 +#314 := (if #40 #306 #313) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #314) +#317 := (forall (vars (?v0 Int) (?v1 Int)) #314) +#834 := (iff #317 #831) +#832 := (iff #314 #314) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#277 := (if #274 #47 #144) +#280 := (if #40 0::Int #277) +#283 := (= #37 #280) +#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) +#318 := (iff #286 #317) +#315 := (iff #283 #314) +#316 := [rewrite]: #315 +#319 := [quant-intro #316]: #318 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#180 := (if #177 #47 #144) +#183 := (if #40 0::Int #180) +#186 := (= #37 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#287 := (iff #189 #286) +#284 := (iff #186 #283) +#281 := (= #183 #280) +#278 := (= #180 #277) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#279 := [monotonicity #276]: #278 +#282 := [monotonicity #279]: #281 +#285 := [monotonicity #282]: #284 +#288 := [quant-intro #285]: #287 +#249 := (~ #189 #189) +#262 := (~ #186 #186) +#263 := [refl]: #262 +#250 := [nnf-pos #263]: #249 #49 := (- #24) #48 := (- #35) #50 := (div #48 #49) @@ -14907,195 +13753,203 @@ #52 := (if #40 0::Int #51) #53 := (= #37 #52) #54 := (forall (vars (?v0 Int) (?v1 Int)) #53) -#152 := (iff #54 #151) -#149 := (iff #53 #148) -#146 := (= #52 #145) -#143 := (= #51 #142) -#140 := (= #50 #139) -#137 := (= #49 #136) -#138 := [rewrite]: #137 -#134 := (= #48 #133) -#135 := [rewrite]: #134 -#141 := [monotonicity #135 #138]: #140 -#130 := (iff #46 #129) -#127 := (iff #45 #126) -#112 := (iff #42 #111) -#113 := [rewrite]: #112 -#119 := (iff #44 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #43 #114) -#108 := (iff #41 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#144 := [monotonicity #131 #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [monotonicity #147]: #149 -#153 := [quant-intro #150]: #152 -#71 := [asserted]: #54 -#154 := [mp #71 #153]: #151 -#246 := [mp #154 #245]: #243 -#280 := [mp~ #246 #279]: #243 -#309 := [mp #280 #308]: #306 -#340 := [mp #309 #339]: #337 -#796 := [mp #340 #795]: #791 -#642 := (not #791) -#643 := (or #642 #737) -#736 := (* -1::Int 3::Int) -#732 := (* -1::Int 1::Int) -#725 := (div #732 #736) -#726 := (* -1::Int #725) -#727 := (+ #12 #726) -#722 := (= #727 0::Int) -#734 := (div 1::Int 3::Int) -#449 := (* -1::Int #734) -#731 := (+ #12 #449) -#735 := (= #731 0::Int) -#738 := (<= 3::Int 0::Int) -#453 := (>= 1::Int 0::Int) -#454 := (or #453 #738) -#455 := (not #454) -#741 := (<= 1::Int 0::Int) -#742 := (or #741 #738) -#452 := (not #742) -#733 := (or #452 #455) -#723 := (if #733 #735 #722) -#462 := (= 3::Int 0::Int) -#740 := (= 1::Int 0::Int) -#463 := (or #740 #462) -#728 := (if #463 #737 #723) -#638 := (or #642 #728) -#617 := (iff #638 #643) -#619 := (iff #643 #643) -#512 := [rewrite]: #619 -#640 := (iff #728 #737) -#653 := (if false #737 #737) -#636 := (iff #653 #737) -#637 := [rewrite]: #636 -#639 := (iff #728 #653) -#652 := (iff #723 #737) -#665 := (= #12 1::Int) -#1 := true -#646 := (if true #737 #665) -#650 := (iff #646 #737) -#651 := [rewrite]: #650 -#648 := (iff #723 #646) -#667 := (iff #722 #665) -#657 := (+ -1::Int #12) -#662 := (= #657 0::Int) -#666 := (iff #662 #665) -#656 := [rewrite]: #666 -#663 := (iff #722 #662) -#660 := (= #727 #657) -#674 := (+ #12 -1::Int) -#658 := (= #674 #657) -#659 := [rewrite]: #658 -#654 := (= #727 #674) -#673 := (= #726 -1::Int) -#684 := (= #732 -1::Int) -#691 := [rewrite]: #684 -#671 := (= #726 #732) -#668 := (= #725 1::Int) -#675 := -3::Int -#679 := (div -1::Int -3::Int) -#677 := (= #679 1::Int) -#682 := [rewrite]: #677 -#680 := (= #725 #679) -#676 := (= #736 -3::Int) -#678 := [rewrite]: #676 -#681 := [monotonicity #691 #678]: #680 -#669 := [trans #681 #682]: #668 -#672 := [monotonicity #669]: #671 -#670 := [trans #672 #691]: #673 -#655 := [monotonicity #670]: #654 -#661 := [trans #655 #659]: #660 -#664 := [monotonicity #661]: #663 -#645 := [trans #664 #656]: #667 -#689 := (iff #735 #737) -#687 := (= #731 #12) -#695 := (+ #12 0::Int) -#693 := (= #695 #12) -#698 := [rewrite]: #693 -#696 := (= #731 #695) -#683 := (= #449 0::Int) -#701 := (* -1::Int 0::Int) -#694 := (= #701 0::Int) -#686 := [rewrite]: #694 -#705 := (= #449 #701) -#611 := (= #734 0::Int) -#704 := [rewrite]: #611 -#692 := [monotonicity #704]: #705 -#685 := [trans #692 #686]: #683 -#697 := [monotonicity #685]: #696 -#688 := [trans #697 #698]: #687 -#690 := [monotonicity #688]: #689 -#609 := (iff #733 true) -#554 := (or true false) -#699 := (iff #554 true) -#700 := [rewrite]: #699 -#607 := (iff #733 #554) -#606 := (iff #455 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#603 := (iff #455 #420) -#703 := (iff #454 true) -#702 := (iff #454 #554) -#720 := (iff #738 false) -#714 := [rewrite]: #720 -#594 := (iff #453 true) -#595 := [rewrite]: #594 -#604 := [monotonicity #595 #714]: #702 -#588 := [trans #604 #700]: #703 -#605 := [monotonicity #588]: #603 -#599 := [trans #605 #408]: #606 -#711 := (iff #452 true) -#706 := (not false) -#710 := (iff #706 true) -#708 := [rewrite]: #710 -#707 := (iff #452 #706) -#552 := (iff #742 false) -#572 := (or false false) -#716 := (iff #572 false) -#717 := [rewrite]: #716 -#721 := (iff #742 #572) -#713 := (iff #741 false) -#719 := [rewrite]: #713 -#550 := [monotonicity #719 #714]: #721 -#553 := [trans #550 #717]: #552 -#709 := [monotonicity #553]: #707 -#593 := [trans #709 #708]: #711 -#608 := [monotonicity #593 #599]: #607 -#610 := [trans #608 #700]: #609 -#649 := [monotonicity #610 #690 #645]: #648 -#647 := [trans #649 #651]: #652 -#718 := (iff #463 false) -#573 := (iff #463 #572) -#730 := (iff #462 false) -#571 := [rewrite]: #730 -#729 := (iff #740 false) -#724 := [rewrite]: #729 -#715 := [monotonicity #724 #571]: #573 -#712 := [trans #715 #717]: #718 -#635 := [monotonicity #712 #647]: #639 -#641 := [trans #635 #637]: #640 -#618 := [monotonicity #641]: #617 -#623 := [trans #618 #512]: #617 -#644 := [quant-inst #9 #11]: #638 -#624 := [mp #644 #623]: #643 -#630 := [unit-resolution #624 #796]: #737 -#626 := [monotonicity #630]: #16 +#192 := (iff #54 #189) +#147 := (if #46 #47 #144) +#150 := (if #40 0::Int #147) +#153 := (= #37 #150) +#156 := (forall (vars (?v0 Int) (?v1 Int)) #153) +#190 := (iff #156 #189) +#187 := (iff #153 #186) +#184 := (= #150 #183) +#181 := (= #147 #180) +#178 := (iff #46 #177) +#175 := (iff #45 #174) +#165 := (iff #42 #164) +#166 := [rewrite]: #165 +#172 := (iff #44 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #43 #167) +#161 := (iff #41 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#157 := (iff #54 #156) +#154 := (iff #53 #153) +#151 := (= #52 #150) +#148 := (= #51 #147) +#145 := (= #50 #144) +#142 := (= #49 #141) +#143 := [rewrite]: #142 +#139 := (= #48 #138) +#140 := [rewrite]: #139 +#146 := [monotonicity #140 #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [quant-intro #155]: #157 +#193 := [trans #158 #191]: #192 +#136 := [asserted]: #54 +#194 := [mp #136 #193]: #189 +#264 := [mp~ #194 #250]: #189 +#289 := [mp #264 #288]: #286 +#320 := [mp #289 #319]: #317 +#836 := [mp #320 #835]: #831 +#682 := (not #831) +#683 := (or #682 #777) +#776 := (* -1::Int 3::Int) +#772 := (* -1::Int 1::Int) +#765 := (div #772 #776) +#766 := (* -1::Int #765) +#767 := (+ #12 #766) +#762 := (= #767 0::Int) +#774 := (div 1::Int 3::Int) +#489 := (* -1::Int #774) +#771 := (+ #12 #489) +#775 := (= #771 0::Int) +#778 := (<= 3::Int 0::Int) +#493 := (>= 1::Int 0::Int) +#494 := (or #493 #778) +#495 := (not #494) +#781 := (<= 1::Int 0::Int) +#782 := (or #781 #778) +#492 := (not #782) +#773 := (or #492 #495) +#763 := (if #773 #775 #762) +#502 := (= 3::Int 0::Int) +#780 := (= 1::Int 0::Int) +#503 := (or #780 #502) +#768 := (if #503 #777 #763) +#678 := (or #682 #768) +#657 := (iff #678 #683) +#659 := (iff #683 #683) +#552 := [rewrite]: #659 +#680 := (iff #768 #777) +#693 := (if false #777 #777) +#676 := (iff #693 #777) +#677 := [rewrite]: #676 +#679 := (iff #768 #693) +#692 := (iff #763 #777) +#705 := (= #12 1::Int) +#1 := true +#686 := (if true #777 #705) +#690 := (iff #686 #777) +#691 := [rewrite]: #690 +#688 := (iff #763 #686) +#707 := (iff #762 #705) +#697 := (+ -1::Int #12) +#702 := (= #697 0::Int) +#706 := (iff #702 #705) +#696 := [rewrite]: #706 +#703 := (iff #762 #702) +#700 := (= #767 #697) +#714 := (+ #12 -1::Int) +#698 := (= #714 #697) +#699 := [rewrite]: #698 +#694 := (= #767 #714) +#713 := (= #766 -1::Int) +#724 := (= #772 -1::Int) +#731 := [rewrite]: #724 +#711 := (= #766 #772) +#708 := (= #765 1::Int) +#715 := -3::Int +#719 := (div -1::Int -3::Int) +#717 := (= #719 1::Int) +#722 := [rewrite]: #717 +#720 := (= #765 #719) +#716 := (= #776 -3::Int) +#718 := [rewrite]: #716 +#721 := [monotonicity #731 #718]: #720 +#709 := [trans #721 #722]: #708 +#712 := [monotonicity #709]: #711 +#710 := [trans #712 #731]: #713 +#695 := [monotonicity #710]: #694 +#701 := [trans #695 #699]: #700 +#704 := [monotonicity #701]: #703 +#685 := [trans #704 #696]: #707 +#729 := (iff #775 #777) +#727 := (= #771 #12) +#735 := (+ #12 0::Int) +#733 := (= #735 #12) +#738 := [rewrite]: #733 +#736 := (= #771 #735) +#723 := (= #489 0::Int) +#741 := (* -1::Int 0::Int) +#734 := (= #741 0::Int) +#726 := [rewrite]: #734 +#745 := (= #489 #741) +#651 := (= #774 0::Int) +#744 := [rewrite]: #651 +#732 := [monotonicity #744]: #745 +#725 := [trans #732 #726]: #723 +#737 := [monotonicity #725]: #736 +#728 := [trans #737 #738]: #727 +#730 := [monotonicity #728]: #729 +#649 := (iff #773 true) +#594 := (or true false) +#739 := (iff #594 true) +#740 := [rewrite]: #739 +#647 := (iff #773 #594) +#646 := (iff #495 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#643 := (iff #495 #460) +#743 := (iff #494 true) +#742 := (iff #494 #594) +#760 := (iff #778 false) +#754 := [rewrite]: #760 +#634 := (iff #493 true) +#635 := [rewrite]: #634 +#644 := [monotonicity #635 #754]: #742 +#628 := [trans #644 #740]: #743 +#645 := [monotonicity #628]: #643 +#639 := [trans #645 #448]: #646 +#751 := (iff #492 true) +#746 := (not false) +#750 := (iff #746 true) +#748 := [rewrite]: #750 +#747 := (iff #492 #746) +#592 := (iff #782 false) +#612 := (or false false) +#756 := (iff #612 false) +#757 := [rewrite]: #756 +#761 := (iff #782 #612) +#753 := (iff #781 false) +#759 := [rewrite]: #753 +#590 := [monotonicity #759 #754]: #761 +#593 := [trans #590 #757]: #592 +#749 := [monotonicity #593]: #747 +#633 := [trans #749 #748]: #751 +#648 := [monotonicity #633 #639]: #647 +#650 := [trans #648 #740]: #649 +#689 := [monotonicity #650 #730 #685]: #688 +#687 := [trans #689 #691]: #692 +#758 := (iff #503 false) +#613 := (iff #503 #612) +#770 := (iff #502 false) +#611 := [rewrite]: #770 +#769 := (iff #780 false) +#764 := [rewrite]: #769 +#755 := [monotonicity #764 #611]: #613 +#752 := [trans #755 #757]: #758 +#675 := [monotonicity #752 #687]: #679 +#681 := [trans #675 #677]: #680 +#658 := [monotonicity #681]: #657 +#663 := [trans #658 #552]: #657 +#684 := [quant-inst #9 #11]: #678 +#664 := [mp #684 #663]: #683 +#670 := [unit-resolution #664 #836]: #777 +#666 := [monotonicity #670]: #16 #17 := (not #16) -#67 := [asserted]: #17 -[unit-resolution #67 #626]: false -68d1ad7f70142308c629f42d1199c9a3061f756d 304 0 -unsat +#85 := [asserted]: #17 +[unit-resolution #85 #666]: false +unsat +d531b5a296176d2110a62307c2de9e0839c802fe 288 0 #2 := false decl f3 :: (-> S2 Int S3) #13 := 1::Int @@ -15111,104 +13965,80 @@ #11 := (f5 #10 3::Int) #12 := (f3 f4 #11) #15 := (= #12 #14) -#687 := (= #11 1::Int) +#727 := (= #11 1::Int) #24 := (:var 0 Int) #35 := (:var 1 Int) #36 := (f6 f7 #35) #37 := (f5 #36 #24) -#790 := (pattern #37) +#830 := (pattern #37) #23 := 0::Int -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #35) -#139 := (div #133 #136) -#330 := (* -1::Int #139) -#331 := (+ #37 #330) -#332 := (= #331 0::Int) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #35) +#144 := (div #138 #141) +#310 := (* -1::Int #144) +#311 := (+ #37 #310) +#312 := (= #311 0::Int) #47 := (div #35 #24) -#327 := (* -1::Int #47) -#328 := (+ #37 #327) -#329 := (= #328 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #35 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #35 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#333 := (if #294 #329 #332) -#326 := (= #37 0::Int) +#307 := (* -1::Int #47) +#308 := (+ #37 #307) +#309 := (= #308 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #35 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #35 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#313 := (if #274 #309 #312) +#306 := (= #37 0::Int) #39 := (= #24 0::Int) #38 := (= #35 0::Int) #40 := (or #38 #39) -#334 := (if #40 #326 #333) -#791 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #790) #334) -#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) -#794 := (iff #337 #791) -#792 := (iff #334 #334) -#793 := [refl]: #792 -#795 := [quant-intro #793]: #794 -#297 := (if #294 #47 #139) -#300 := (if #40 0::Int #297) -#303 := (= #37 #300) -#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) -#338 := (iff #306 #337) -#335 := (iff #303 #334) -#336 := [rewrite]: #335 -#339 := [quant-intro #336]: #338 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#234 := (if #231 #47 #139) -#237 := (if #40 0::Int #234) -#240 := (= #37 #237) -#243 := (forall (vars (?v0 Int) (?v1 Int)) #240) -#307 := (iff #243 #306) -#304 := (iff #240 #303) -#301 := (= #237 #300) -#298 := (= #234 #297) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#299 := [monotonicity #296]: #298 -#302 := [monotonicity #299]: #301 -#305 := [monotonicity #302]: #304 -#308 := [quant-intro #305]: #307 -#278 := (~ #243 #243) -#276 := (~ #240 #240) -#277 := [refl]: #276 -#279 := [nnf-pos #277]: #278 -#117 := (<= 0::Int #35) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#142 := (if #129 #47 #139) -#145 := (if #40 0::Int #142) -#148 := (= #37 #145) -#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) -#244 := (iff #151 #243) -#241 := (iff #148 #240) -#238 := (= #145 #237) -#235 := (= #142 #234) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#239 := [monotonicity #236]: #238 -#242 := [monotonicity #239]: #241 -#245 := [quant-intro #242]: #244 +#314 := (if #40 #306 #313) +#831 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #830) #314) +#317 := (forall (vars (?v0 Int) (?v1 Int)) #314) +#834 := (iff #317 #831) +#832 := (iff #314 #314) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#277 := (if #274 #47 #144) +#280 := (if #40 0::Int #277) +#283 := (= #37 #280) +#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) +#318 := (iff #286 #317) +#315 := (iff #283 #314) +#316 := [rewrite]: #315 +#319 := [quant-intro #316]: #318 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#180 := (if #177 #47 #144) +#183 := (if #40 0::Int #180) +#186 := (= #37 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#287 := (iff #189 #286) +#284 := (iff #186 #283) +#281 := (= #183 #280) +#278 := (= #180 #277) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#279 := [monotonicity #276]: #278 +#282 := [monotonicity #279]: #281 +#285 := [monotonicity #282]: #284 +#288 := [quant-intro #285]: #287 +#249 := (~ #189 #189) +#262 := (~ #186 #186) +#263 := [refl]: #262 +#250 := [nnf-pos #263]: #249 #49 := (- #24) #48 := (- #35) #50 := (div #48 #49) @@ -15222,185 +14052,193 @@ #52 := (if #40 0::Int #51) #53 := (= #37 #52) #54 := (forall (vars (?v0 Int) (?v1 Int)) #53) -#152 := (iff #54 #151) -#149 := (iff #53 #148) -#146 := (= #52 #145) -#143 := (= #51 #142) -#140 := (= #50 #139) -#137 := (= #49 #136) -#138 := [rewrite]: #137 -#134 := (= #48 #133) -#135 := [rewrite]: #134 -#141 := [monotonicity #135 #138]: #140 -#130 := (iff #46 #129) -#127 := (iff #45 #126) -#112 := (iff #42 #111) -#113 := [rewrite]: #112 -#119 := (iff #44 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #43 #114) -#108 := (iff #41 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#144 := [monotonicity #131 #141]: #143 -#147 := [monotonicity #144]: #146 -#150 := [monotonicity #147]: #149 -#153 := [quant-intro #150]: #152 -#71 := [asserted]: #54 -#154 := [mp #71 #153]: #151 -#246 := [mp #154 #245]: #243 -#280 := [mp~ #246 #279]: #243 -#309 := [mp #280 #308]: #306 -#340 := [mp #309 #339]: #337 -#796 := [mp #340 #795]: #791 -#652 := (not #791) -#647 := (or #652 #687) -#735 := (* -1::Int 3::Int) -#732 := (div #735 #735) -#736 := (* -1::Int #732) -#725 := (+ #11 #736) -#726 := (= #725 0::Int) -#733 := (div 3::Int 3::Int) -#734 := (* -1::Int #733) -#449 := (+ #11 #734) -#731 := (= #449 0::Int) -#741 := (<= 3::Int 0::Int) -#452 := (>= 3::Int 0::Int) -#453 := (or #452 #741) -#454 := (not #453) -#738 := (or #741 #741) -#742 := (not #738) -#455 := (or #742 #454) -#727 := (if #455 #731 #726) -#737 := (= #11 0::Int) -#462 := (= 3::Int 0::Int) -#463 := (or #462 #462) -#722 := (if #463 #737 #727) -#653 := (or #652 #722) -#635 := (iff #653 #647) -#637 := (iff #647 #647) -#640 := [rewrite]: #637 -#650 := (iff #722 #687) -#667 := (if false #737 #687) -#648 := (iff #667 #687) -#649 := [rewrite]: #648 -#645 := (iff #722 #667) -#666 := (iff #727 #687) -#1 := true -#661 := (if true #687 #687) -#664 := (iff #661 #687) -#665 := [rewrite]: #664 -#662 := (iff #727 #661) -#659 := (iff #726 #687) -#686 := (+ -1::Int #11) -#697 := (= #686 0::Int) -#688 := (iff #697 #687) +#192 := (iff #54 #189) +#147 := (if #46 #47 #144) +#150 := (if #40 0::Int #147) +#153 := (= #37 #150) +#156 := (forall (vars (?v0 Int) (?v1 Int)) #153) +#190 := (iff #156 #189) +#187 := (iff #153 #186) +#184 := (= #150 #183) +#181 := (= #147 #180) +#178 := (iff #46 #177) +#175 := (iff #45 #174) +#165 := (iff #42 #164) +#166 := [rewrite]: #165 +#172 := (iff #44 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #43 #167) +#161 := (iff #41 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#157 := (iff #54 #156) +#154 := (iff #53 #153) +#151 := (= #52 #150) +#148 := (= #51 #147) +#145 := (= #50 #144) +#142 := (= #49 #141) +#143 := [rewrite]: #142 +#139 := (= #48 #138) +#140 := [rewrite]: #139 +#146 := [monotonicity #140 #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [quant-intro #155]: #157 +#193 := [trans #158 #191]: #192 +#136 := [asserted]: #54 +#194 := [mp #136 #193]: #189 +#264 := [mp~ #194 #250]: #189 +#289 := [mp #264 #288]: #286 +#320 := [mp #289 #319]: #317 +#836 := [mp #320 #835]: #831 +#692 := (not #831) +#687 := (or #692 #727) +#775 := (* -1::Int 3::Int) +#772 := (div #775 #775) +#776 := (* -1::Int #772) +#765 := (+ #11 #776) +#766 := (= #765 0::Int) +#773 := (div 3::Int 3::Int) +#774 := (* -1::Int #773) +#489 := (+ #11 #774) +#771 := (= #489 0::Int) +#781 := (<= 3::Int 0::Int) +#492 := (>= 3::Int 0::Int) +#493 := (or #492 #781) +#494 := (not #493) +#778 := (or #781 #781) +#782 := (not #778) +#495 := (or #782 #494) +#767 := (if #495 #771 #766) +#777 := (= #11 0::Int) +#502 := (= 3::Int 0::Int) +#503 := (or #502 #502) +#762 := (if #503 #777 #767) +#693 := (or #692 #762) +#675 := (iff #693 #687) +#677 := (iff #687 #687) +#680 := [rewrite]: #677 +#690 := (iff #762 #727) +#707 := (if false #777 #727) +#688 := (iff #707 #727) #689 := [rewrite]: #688 -#657 := (iff #726 #697) -#654 := (= #725 #686) -#705 := (+ #11 -1::Int) -#683 := (= #705 #686) -#685 := [rewrite]: #683 -#670 := (= #725 #705) -#672 := (= #736 -1::Int) -#607 := (* -1::Int 1::Int) -#610 := (= #607 -1::Int) -#611 := [rewrite]: #610 -#669 := (= #736 #607) -#682 := (= #732 1::Int) -#691 := -3::Int -#678 := (div -3::Int -3::Int) -#681 := (= #678 1::Int) -#677 := [rewrite]: #681 -#679 := (= #732 #678) -#675 := (= #735 -3::Int) -#676 := [rewrite]: #675 -#680 := [monotonicity #676 #676]: #679 -#668 := [trans #680 #677]: #682 -#671 := [monotonicity #668]: #669 -#673 := [trans #671 #611]: #672 -#674 := [monotonicity #673]: #670 -#655 := [trans #674 #685]: #654 -#658 := [monotonicity #655]: #657 -#660 := [trans #658 #689]: #659 -#690 := (iff #731 #687) -#693 := (iff #731 #697) -#695 := (= #449 #686) -#692 := (= #449 #705) -#704 := (= #734 -1::Int) -#608 := (= #734 #607) -#606 := (= #733 1::Int) -#599 := [rewrite]: #606 -#609 := [monotonicity #599]: #608 -#701 := [trans #609 #611]: #704 -#694 := [monotonicity #701]: #692 -#696 := [trans #694 #685]: #695 -#698 := [monotonicity #696]: #693 -#684 := [trans #698 #689]: #690 -#603 := (iff #455 true) -#710 := (or true false) -#593 := (iff #710 true) -#594 := [rewrite]: #593 -#703 := (iff #455 #710) -#699 := (iff #454 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#702 := (iff #454 #420) -#595 := (iff #453 true) -#708 := (iff #453 #710) -#716 := (iff #741 false) -#717 := [rewrite]: #716 -#707 := (iff #452 true) -#709 := [rewrite]: #707 -#711 := [monotonicity #709 #717]: #708 -#554 := [trans #711 #594]: #595 -#604 := [monotonicity #554]: #702 -#700 := [trans #604 #408]: #699 -#553 := (iff #742 true) -#720 := (not false) -#550 := (iff #720 true) -#552 := [rewrite]: #550 -#714 := (iff #742 #720) -#713 := (iff #738 false) -#729 := (or false false) -#571 := (iff #729 false) -#572 := [rewrite]: #571 -#718 := (iff #738 #729) -#712 := [monotonicity #717 #717]: #718 -#719 := [trans #712 #572]: #713 -#721 := [monotonicity #719]: #714 -#706 := [trans #721 #552]: #553 -#588 := [monotonicity #706 #700]: #703 -#605 := [trans #588 #594]: #603 -#663 := [monotonicity #605 #684 #660]: #662 -#656 := [trans #663 #665]: #666 -#573 := (iff #463 false) -#724 := (iff #463 #729) -#723 := (iff #462 false) -#728 := [rewrite]: #723 -#730 := [monotonicity #728 #728]: #724 -#715 := [trans #730 #572]: #573 -#646 := [monotonicity #715 #656]: #645 -#651 := [trans #646 #649]: #650 -#636 := [monotonicity #651]: #635 -#641 := [trans #636 #640]: #635 -#639 := [quant-inst #9 #9]: #653 -#642 := [mp #639 #641]: #647 -#644 := [unit-resolution #642 #796]: #687 -#617 := [monotonicity #644]: #15 +#685 := (iff #762 #707) +#706 := (iff #767 #727) +#1 := true +#701 := (if true #727 #727) +#704 := (iff #701 #727) +#705 := [rewrite]: #704 +#702 := (iff #767 #701) +#699 := (iff #766 #727) +#726 := (+ -1::Int #11) +#737 := (= #726 0::Int) +#728 := (iff #737 #727) +#729 := [rewrite]: #728 +#697 := (iff #766 #737) +#694 := (= #765 #726) +#745 := (+ #11 -1::Int) +#723 := (= #745 #726) +#725 := [rewrite]: #723 +#710 := (= #765 #745) +#712 := (= #776 -1::Int) +#647 := (* -1::Int 1::Int) +#650 := (= #647 -1::Int) +#651 := [rewrite]: #650 +#709 := (= #776 #647) +#722 := (= #772 1::Int) +#731 := -3::Int +#718 := (div -3::Int -3::Int) +#721 := (= #718 1::Int) +#717 := [rewrite]: #721 +#719 := (= #772 #718) +#715 := (= #775 -3::Int) +#716 := [rewrite]: #715 +#720 := [monotonicity #716 #716]: #719 +#708 := [trans #720 #717]: #722 +#711 := [monotonicity #708]: #709 +#713 := [trans #711 #651]: #712 +#714 := [monotonicity #713]: #710 +#695 := [trans #714 #725]: #694 +#698 := [monotonicity #695]: #697 +#700 := [trans #698 #729]: #699 +#730 := (iff #771 #727) +#733 := (iff #771 #737) +#735 := (= #489 #726) +#732 := (= #489 #745) +#744 := (= #774 -1::Int) +#648 := (= #774 #647) +#646 := (= #773 1::Int) +#639 := [rewrite]: #646 +#649 := [monotonicity #639]: #648 +#741 := [trans #649 #651]: #744 +#734 := [monotonicity #741]: #732 +#736 := [trans #734 #725]: #735 +#738 := [monotonicity #736]: #733 +#724 := [trans #738 #729]: #730 +#643 := (iff #495 true) +#750 := (or true false) +#633 := (iff #750 true) +#634 := [rewrite]: #633 +#743 := (iff #495 #750) +#739 := (iff #494 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#742 := (iff #494 #460) +#635 := (iff #493 true) +#748 := (iff #493 #750) +#756 := (iff #781 false) +#757 := [rewrite]: #756 +#747 := (iff #492 true) +#749 := [rewrite]: #747 +#751 := [monotonicity #749 #757]: #748 +#594 := [trans #751 #634]: #635 +#644 := [monotonicity #594]: #742 +#740 := [trans #644 #448]: #739 +#593 := (iff #782 true) +#760 := (not false) +#590 := (iff #760 true) +#592 := [rewrite]: #590 +#754 := (iff #782 #760) +#753 := (iff #778 false) +#769 := (or false false) +#611 := (iff #769 false) +#612 := [rewrite]: #611 +#758 := (iff #778 #769) +#752 := [monotonicity #757 #757]: #758 +#759 := [trans #752 #612]: #753 +#761 := [monotonicity #759]: #754 +#746 := [trans #761 #592]: #593 +#628 := [monotonicity #746 #740]: #743 +#645 := [trans #628 #634]: #643 +#703 := [monotonicity #645 #724 #700]: #702 +#696 := [trans #703 #705]: #706 +#613 := (iff #503 false) +#764 := (iff #503 #769) +#763 := (iff #502 false) +#768 := [rewrite]: #763 +#770 := [monotonicity #768 #768]: #764 +#755 := [trans #770 #612]: #613 +#686 := [monotonicity #755 #696]: #685 +#691 := [trans #686 #689]: #690 +#676 := [monotonicity #691]: #675 +#681 := [trans #676 #680]: #675 +#679 := [quant-inst #9 #9]: #693 +#682 := [mp #679 #681]: #687 +#684 := [unit-resolution #682 #836]: #727 +#657 := [monotonicity #684]: #15 #16 := (not #15) -#67 := [asserted]: #16 -[unit-resolution #67 #617]: false -c1d414123c29937a6ed9d7b6e1f766000d0e13e1 428 0 -unsat +#85 := [asserted]: #16 +[unit-resolution #85 #657]: false +unsat +d789ae3569fe642ed1b603027ce5b8f4594bdee7 409 0 #2 := false #22 := 0::Int #12 := 3::Int @@ -15410,160 +14248,137 @@ decl f7 :: S4 #8 := f7 #10 := (f6 f7 f8) -#716 := (mod #10 3::Int) -#131 := -1::Int -#690 := (* -1::Int #716) -#442 := (div #10 3::Int) -#750 := -3::Int -#689 := (* -3::Int #442) -#686 := (+ #10 #689 #690) -#688 := (= #686 0::Int) -#1 := true -#198 := [true-axiom]: true -#644 := (or false #688) -#645 := [th-lemma arith]: #644 -#646 := [unit-resolution #645 #198]: #688 -#680 := (>= #686 0::Int) -#593 := (not #680) -#681 := (>= #716 0::Int) -#625 := (or false #681) -#631 := [th-lemma arith]: #625 -#599 := [unit-resolution #631 #198]: #681 +#756 := (mod #10 3::Int) +#87 := -1::Int +#730 := (* -1::Int #756) +#482 := (div #10 3::Int) +#790 := -3::Int +#729 := (* -3::Int #482) +#726 := (+ #729 #730) +#731 := (+ #10 #726) +#728 := (= #731 0::Int) +#1 := true +#82 := [true-axiom]: true +#685 := (or false #728) +#686 := [th-lemma arith]: #685 +#689 := [unit-resolution #686 #82]: #728 +#721 := (>= #731 0::Int) +#634 := (not #721) +#722 := (>= #756 0::Int) +#671 := (or false #722) +#639 := [th-lemma arith]: #671 +#646 := [unit-resolution #639 #82]: #722 decl f3 :: (-> S2 Int Int) decl f4 :: (-> S3 Int S2) decl f5 :: S3 #7 := f5 #11 := (f4 f5 #10) #13 := (f3 #11 3::Int) -#203 := (* -1::Int #13) -#204 := (+ #10 #203) -#202 := (>= #204 0::Int) -#206 := (not #202) +#90 := (* -1::Int #13) +#91 := (+ #10 #90) +#89 := (>= #91 0::Int) +#93 := (not #89) #14 := (<= #13 #10) #15 := (not #14) -#207 := (iff #15 #206) -#201 := (iff #14 #202) -#205 := [rewrite]: #201 -#208 := [monotonicity #205]: #207 -#66 := [asserted]: #15 -#209 := [mp #66 #208]: #206 -#774 := (* -1::Int #442) -#775 := (+ #13 #774) -#718 := (<= #775 0::Int) -#776 := (= #775 0::Int) -#777 := (* -1::Int #10) -#461 := (div #777 -3::Int) -#464 := (* -1::Int #461) -#458 := (+ #13 #464) -#741 := (= #458 0::Int) -#430 := (>= #10 0::Int) -#371 := (not #430) -#457 := (<= #10 0::Int) -#405 := (not #457) -#471 := (or #405 #371) -#735 := (if #471 #776 #741) -#451 := (= #10 0::Int) -#608 := (not #451) -#722 := (<= #13 0::Int) -#453 := (= #13 0::Int) -#693 := [hypothesis]: #451 -#700 := (or #608 #453) -#732 := (if #451 #453 #735) +#94 := (iff #15 #93) +#88 := (iff #14 #89) +#92 := [rewrite]: #88 +#95 := [monotonicity #92]: #94 +#84 := [asserted]: #15 +#96 := [mp #84 #95]: #93 +#814 := (* -1::Int #482) +#815 := (+ #13 #814) +#758 := (<= #815 0::Int) +#816 := (= #815 0::Int) +#817 := (* -1::Int #10) +#501 := (div #817 -3::Int) +#504 := (* -1::Int #501) +#498 := (+ #13 #504) +#781 := (= #498 0::Int) +#470 := (>= #10 0::Int) +#412 := (not #470) +#497 := (<= #10 0::Int) +#445 := (not #497) +#511 := (or #445 #412) +#775 := (if #511 #816 #781) +#491 := (= #10 0::Int) +#648 := (not #491) +#762 := (<= #13 0::Int) +#493 := (= #13 0::Int) +#701 := [hypothesis]: #491 +#696 := (or #648 #493) +#772 := (if #491 #493 #775) #23 := (:var 0 Int) #34 := (:var 1 Int) #35 := (f4 f5 #34) #36 := (f3 #35 #23) -#799 := (pattern #36) -#135 := (* -1::Int #23) -#132 := (* -1::Int #34) -#138 := (div #132 #135) -#338 := (* -1::Int #138) -#339 := (+ #36 #338) -#340 := (= #339 0::Int) +#839 := (pattern #36) +#149 := (* -1::Int #23) +#146 := (* -1::Int #34) +#152 := (div #146 #149) +#318 := (* -1::Int #152) +#319 := (+ #36 #318) +#320 := (= #319 0::Int) #46 := (div #34 #23) -#335 := (* -1::Int #46) -#336 := (+ #36 #335) -#337 := (= #336 0::Int) -#109 := (<= #23 0::Int) -#230 := (>= #34 0::Int) -#298 := (or #230 #109) -#299 := (not #298) -#105 := (<= #34 0::Int) -#294 := (or #105 #109) -#295 := (not #294) -#302 := (or #295 #299) -#341 := (if #302 #337 #340) -#334 := (= #36 0::Int) +#315 := (* -1::Int #46) +#316 := (+ #36 #315) +#317 := (= #316 0::Int) +#171 := (<= #23 0::Int) +#178 := (>= #34 0::Int) +#278 := (or #178 #171) +#279 := (not #278) +#167 := (<= #34 0::Int) +#276 := (or #167 #171) +#277 := (not #276) +#282 := (or #277 #279) +#321 := (if #282 #317 #320) +#314 := (= #36 0::Int) #38 := (= #23 0::Int) #37 := (= #34 0::Int) #39 := (or #37 #38) -#342 := (if #39 #334 #341) -#800 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #799) #342) -#345 := (forall (vars (?v0 Int) (?v1 Int)) #342) -#803 := (iff #345 #800) -#801 := (iff #342 #342) -#802 := [refl]: #801 -#804 := [quant-intro #802]: #803 -#305 := (if #302 #46 #138) -#308 := (if #39 0::Int #305) -#311 := (= #36 #308) -#314 := (forall (vars (?v0 Int) (?v1 Int)) #311) -#346 := (iff #314 #345) -#343 := (iff #311 #342) -#344 := [rewrite]: #343 -#347 := [quant-intro #344]: #346 -#110 := (not #109) -#233 := (not #230) -#236 := (and #233 #110) -#106 := (not #105) -#113 := (and #106 #110) -#239 := (or #113 #236) -#242 := (if #239 #46 #138) -#245 := (if #39 0::Int #242) -#248 := (= #36 #245) -#251 := (forall (vars (?v0 Int) (?v1 Int)) #248) -#315 := (iff #251 #314) -#312 := (iff #248 #311) -#309 := (= #245 #308) -#306 := (= #242 #305) -#303 := (iff #239 #302) -#300 := (iff #236 #299) -#301 := [rewrite]: #300 -#296 := (iff #113 #295) -#297 := [rewrite]: #296 -#304 := [monotonicity #297 #301]: #303 -#307 := [monotonicity #304]: #306 -#310 := [monotonicity #307]: #309 -#313 := [monotonicity #310]: #312 -#316 := [quant-intro #313]: #315 -#286 := (~ #251 #251) -#284 := (~ #248 #248) -#285 := [refl]: #284 -#287 := [nnf-pos #285]: #286 -#116 := (<= 0::Int #34) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#141 := (if #128 #46 #138) -#144 := (if #39 0::Int #141) -#147 := (= #36 #144) -#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) -#252 := (iff #150 #251) -#249 := (iff #147 #248) -#246 := (= #144 #245) -#243 := (= #141 #242) -#240 := (iff #128 #239) -#237 := (iff #125 #236) -#234 := (iff #117 #233) -#231 := (iff #116 #230) -#232 := [rewrite]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [quant-intro #250]: #252 +#322 := (if #39 #314 #321) +#840 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #839) #322) +#325 := (forall (vars (?v0 Int) (?v1 Int)) #322) +#843 := (iff #325 #840) +#841 := (iff #322 #322) +#842 := [refl]: #841 +#844 := [quant-intro #842]: #843 +#285 := (if #282 #46 #152) +#288 := (if #39 0::Int #285) +#291 := (= #36 #288) +#294 := (forall (vars (?v0 Int) (?v1 Int)) #291) +#326 := (iff #294 #325) +#323 := (iff #291 #322) +#324 := [rewrite]: #323 +#327 := [quant-intro #324]: #326 +#172 := (not #171) +#179 := (not #178) +#182 := (and #179 #172) +#168 := (not #167) +#175 := (and #168 #172) +#185 := (or #175 #182) +#188 := (if #185 #46 #152) +#191 := (if #39 0::Int #188) +#194 := (= #36 #191) +#197 := (forall (vars (?v0 Int) (?v1 Int)) #194) +#295 := (iff #197 #294) +#292 := (iff #194 #291) +#289 := (= #191 #288) +#286 := (= #188 #285) +#283 := (iff #185 #282) +#280 := (iff #182 #279) +#281 := [rewrite]: #280 +#261 := (iff #175 #277) +#262 := [rewrite]: #261 +#284 := [monotonicity #262 #281]: #283 +#287 := [monotonicity #284]: #286 +#290 := [monotonicity #287]: #289 +#293 := [monotonicity #290]: #292 +#296 := [quant-intro #293]: #295 +#257 := (~ #197 #197) +#270 := (~ #194 #194) +#271 := [refl]: #270 +#258 := [nnf-pos #271]: #257 #48 := (- #23) #47 := (- #34) #49 := (div #47 #48) @@ -15577,259 +14392,263 @@ #51 := (if #39 0::Int #50) #52 := (= #36 #51) #53 := (forall (vars (?v0 Int) (?v1 Int)) #52) -#151 := (iff #53 #150) -#148 := (iff #52 #147) -#145 := (= #51 #144) -#142 := (= #50 #141) -#139 := (= #49 #138) -#136 := (= #48 #135) -#137 := [rewrite]: #136 -#133 := (= #47 #132) -#134 := [rewrite]: #133 -#140 := [monotonicity #134 #137]: #139 -#129 := (iff #45 #128) -#126 := (iff #44 #125) -#111 := (iff #41 #110) -#112 := [rewrite]: #111 -#118 := (iff #43 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #42 #113) -#107 := (iff #40 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#143 := [monotonicity #130 #140]: #142 -#146 := [monotonicity #143]: #145 -#149 := [monotonicity #146]: #148 -#152 := [quant-intro #149]: #151 -#70 := [asserted]: #53 -#153 := [mp #70 #152]: #150 -#254 := [mp #153 #253]: #251 -#288 := [mp~ #254 #287]: #251 -#317 := [mp #288 #316]: #314 -#348 := [mp #317 #347]: #345 -#805 := [mp #348 #804]: #800 -#733 := (not #800) -#739 := (or #733 #732) -#772 := (* -1::Int 3::Int) -#778 := (div #777 #772) -#768 := (* -1::Int #778) -#428 := (+ #13 #768) -#433 := (= #428 0::Int) -#436 := (<= 3::Int 0::Int) -#560 := (or #430 #436) -#767 := (not #560) -#771 := (or #457 #436) -#773 := (not #771) -#441 := (or #773 #767) -#769 := (if #441 #776 #433) -#452 := (= 3::Int 0::Int) -#456 := (or #451 #452) -#429 := (if #456 #453 #769) -#580 := (or #733 #429) -#582 := (iff #580 #739) -#725 := (iff #739 #739) -#726 := [rewrite]: #725 -#737 := (iff #429 #732) -#736 := (iff #769 #735) -#745 := (iff #433 #741) -#740 := (= #428 #458) -#742 := (= #768 #464) -#462 := (= #778 #461) -#747 := (= #772 -3::Int) -#751 := [rewrite]: #747 -#463 := [monotonicity #751]: #462 -#743 := [monotonicity #463]: #742 -#744 := [monotonicity #743]: #740 -#734 := [monotonicity #744]: #745 -#472 := (iff #441 #471) -#748 := (iff #767 #371) -#477 := (iff #560 #430) -#766 := (or #430 false) -#475 := (iff #766 #430) -#476 := [rewrite]: #475 -#752 := (iff #560 #766) -#758 := (iff #436 false) -#759 := [rewrite]: #758 -#753 := [monotonicity #759]: #752 -#478 := [trans #753 #476]: #477 -#749 := [monotonicity #478]: #748 -#765 := (iff #773 #405) -#764 := (iff #771 #457) -#760 := (or #457 false) -#399 := (iff #760 #457) -#762 := [rewrite]: #399 -#755 := (iff #771 #760) -#761 := [monotonicity #759]: #755 -#404 := [trans #761 #762]: #764 -#763 := [monotonicity #404]: #765 -#746 := [monotonicity #763 #749]: #472 -#731 := [monotonicity #746 #734]: #736 -#756 := (iff #456 #451) -#754 := (or #451 false) -#419 := (iff #754 #451) -#420 := [rewrite]: #419 -#417 := (iff #456 #754) -#770 := (iff #452 false) -#413 := [rewrite]: #770 -#418 := [monotonicity #413]: #417 -#757 := [trans #418 #420]: #756 -#738 := [monotonicity #757 #731]: #737 -#724 := [monotonicity #738]: #582 -#727 := [trans #724 #726]: #582 -#581 := [quant-inst #10 #12]: #580 -#721 := [mp #581 #727]: #739 -#653 := [unit-resolution #721 #805]: #732 -#615 := (not #732) -#616 := (or #615 #608 #453) -#617 := [def-axiom]: #616 -#684 := [unit-resolution #617 #653]: #700 -#685 := [unit-resolution #684 #693]: #453 -#620 := (not #453) -#691 := (or #620 #722) -#677 := [th-lemma arith triangle-eq]: #691 -#682 := [unit-resolution #677 #685]: #722 -#679 := (or #608 #430) -#660 := [th-lemma arith triangle-eq]: #679 -#661 := [unit-resolution #660 #693]: #430 -#656 := [th-lemma arith farkas -1 1 1 #661 #209 #682]: false -#662 := [lemma #656]: #608 -#626 := (or #451 #735) -#618 := (or #615 #451 #735) -#619 := [def-axiom]: #618 -#627 := [unit-resolution #619 #653]: #626 -#584 := [unit-resolution #627 #662]: #735 +#200 := (iff #53 #197) +#155 := (if #45 #46 #152) +#158 := (if #39 0::Int #155) +#161 := (= #36 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#198 := (iff #164 #197) +#195 := (iff #161 #194) +#192 := (= #158 #191) +#189 := (= #155 #188) +#186 := (iff #45 #185) +#183 := (iff #44 #182) +#173 := (iff #41 #172) +#174 := [rewrite]: #173 +#180 := (iff #43 #179) +#181 := [rewrite]: #180 +#184 := [monotonicity #181 #174]: #183 +#176 := (iff #42 #175) +#169 := (iff #40 #168) +#170 := [rewrite]: #169 +#177 := [monotonicity #170 #174]: #176 +#187 := [monotonicity #177 #184]: #186 +#190 := [monotonicity #187]: #189 +#193 := [monotonicity #190]: #192 +#196 := [monotonicity #193]: #195 +#199 := [quant-intro #196]: #198 +#165 := (iff #53 #164) +#162 := (iff #52 #161) +#159 := (= #51 #158) +#156 := (= #50 #155) +#153 := (= #49 #152) +#150 := (= #48 #149) +#151 := [rewrite]: #150 +#147 := (= #47 #146) +#148 := [rewrite]: #147 +#154 := [monotonicity #148 #151]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#201 := [trans #166 #199]: #200 +#145 := [asserted]: #53 +#202 := [mp #145 #201]: #197 +#272 := [mp~ #202 #258]: #197 +#297 := [mp #272 #296]: #294 +#328 := [mp #297 #327]: #325 +#845 := [mp #328 #844]: #840 +#773 := (not #840) +#779 := (or #773 #772) +#812 := (* -1::Int 3::Int) +#818 := (div #817 #812) +#808 := (* -1::Int #818) +#468 := (+ #13 #808) +#473 := (= #468 0::Int) +#476 := (<= 3::Int 0::Int) +#600 := (or #470 #476) +#807 := (not #600) +#811 := (or #497 #476) +#813 := (not #811) +#481 := (or #813 #807) +#809 := (if #481 #816 #473) +#492 := (= 3::Int 0::Int) +#496 := (or #491 #492) +#469 := (if #496 #493 #809) +#620 := (or #773 #469) +#622 := (iff #620 #779) +#765 := (iff #779 #779) +#766 := [rewrite]: #765 +#777 := (iff #469 #772) +#776 := (iff #809 #775) +#785 := (iff #473 #781) +#780 := (= #468 #498) +#782 := (= #808 #504) +#502 := (= #818 #501) +#787 := (= #812 -3::Int) +#791 := [rewrite]: #787 +#503 := [monotonicity #791]: #502 +#783 := [monotonicity #503]: #782 +#784 := [monotonicity #783]: #780 +#774 := [monotonicity #784]: #785 +#512 := (iff #481 #511) +#788 := (iff #807 #412) +#517 := (iff #600 #470) +#806 := (or #470 false) +#515 := (iff #806 #470) +#516 := [rewrite]: #515 +#792 := (iff #600 #806) +#798 := (iff #476 false) +#799 := [rewrite]: #798 +#793 := [monotonicity #799]: #792 +#518 := [trans #793 #516]: #517 +#789 := [monotonicity #518]: #788 +#805 := (iff #813 #445) +#804 := (iff #811 #497) +#800 := (or #497 false) +#439 := (iff #800 #497) +#802 := [rewrite]: #439 +#795 := (iff #811 #800) +#801 := [monotonicity #799]: #795 +#444 := [trans #801 #802]: #804 +#803 := [monotonicity #444]: #805 +#786 := [monotonicity #803 #789]: #512 +#771 := [monotonicity #786 #774]: #776 +#796 := (iff #496 #491) +#794 := (or #491 false) +#459 := (iff #794 #491) +#460 := [rewrite]: #459 +#457 := (iff #496 #794) +#810 := (iff #492 false) +#453 := [rewrite]: #810 +#458 := [monotonicity #453]: #457 +#797 := [trans #458 #460]: #796 +#778 := [monotonicity #797 #771]: #777 +#764 := [monotonicity #778]: #622 +#767 := [trans #764 #766]: #622 +#621 := [quant-inst #10 #12]: #620 +#761 := [mp #621 #767]: #779 +#666 := [unit-resolution #761 #845]: #772 +#655 := (not #772) +#656 := (or #655 #648 #493) +#657 := [def-axiom]: #656 +#702 := [unit-resolution #657 #666]: #696 +#688 := [unit-resolution #702 #701]: #493 +#660 := (not #493) +#684 := (or #660 #762) +#720 := [th-lemma arith triangle-eq]: #684 +#640 := [unit-resolution #720 #688]: #762 +#647 := (or #648 #470) +#649 := [th-lemma arith triangle-eq]: #647 +#650 := [unit-resolution #649 #701]: #470 +#651 := [th-lemma arith farkas -1 1 1 #650 #96 #640]: false +#661 := [lemma #651]: #648 +#667 := (or #491 #775) +#658 := (or #655 #491 #775) +#659 := [def-axiom]: #658 +#668 := [unit-resolution #659 #666]: #667 +#625 := [unit-resolution #668 #661]: #775 decl f9 :: (-> S6 Int S5) decl f10 :: S6 #16 := f10 -#365 := (f9 f10 #10) -#703 := (f6 f7 #365) -#695 := (= #703 0::Int) -#623 := (not #695) -#569 := (iff #608 #623) -#638 := (iff #451 #695) -#641 := (iff #695 #451) -#637 := (= #703 #10) -#450 := (= #365 f8) +#406 := (f9 f10 #10) +#743 := (f6 f7 #406) +#735 := (= #743 0::Int) +#609 := (not #735) +#664 := (iff #648 #609) +#683 := (iff #491 #735) +#682 := (iff #735 #491) +#680 := (= #743 #10) +#490 := (= #406 f8) #17 := (:var 0 S5) #18 := (f6 f7 #17) -#779 := (pattern #18) +#819 := (pattern #18) #19 := (f9 f10 #18) #20 := (= #19 #17) -#780 := (forall (vars (?v0 S5)) (:pat #779) #20) +#820 := (forall (vars (?v0 S5)) (:pat #819) #20) #21 := (forall (vars (?v0 S5)) #20) -#783 := (iff #21 #780) -#781 := (iff #20 #20) -#782 := [refl]: #781 -#784 := [quant-intro #782]: #783 -#279 := (~ #21 #21) -#273 := (~ #20 #20) -#274 := [refl]: #273 -#280 := [nnf-pos #274]: #279 -#67 := [asserted]: #21 -#271 := [mp~ #67 #280]: #21 -#785 := [mp #271 #784]: #780 -#443 := (not #780) -#454 := (or #443 #450) -#455 := [quant-inst #9]: #454 -#636 := [unit-resolution #455 #785]: #450 -#640 := [monotonicity #636]: #637 -#642 := [monotonicity #640]: #641 -#643 := [symm #642]: #638 -#624 := [monotonicity #643]: #569 -#585 := [mp #662 #624]: #623 -#692 := (or #430 #695) +#823 := (iff #21 #820) +#821 := (iff #20 #20) +#822 := [refl]: #821 +#824 := [quant-intro #822]: #823 +#265 := (~ #21 #21) +#263 := (~ #20 #20) +#264 := [refl]: #263 +#266 := [nnf-pos #264]: #265 +#85 := [asserted]: #21 +#251 := [mp~ #85 #266]: #21 +#825 := [mp #251 #824]: #820 +#483 := (not #820) +#494 := (or #483 #490) +#495 := [quant-inst #9]: #494 +#677 := [unit-resolution #495 #825]: #490 +#681 := [monotonicity #677]: #680 +#678 := [monotonicity #681]: #682 +#663 := [symm #678]: #683 +#645 := [monotonicity #663]: #664 +#626 := [mp #661 #645]: #609 +#732 := (or #470 #735) #25 := (f9 f10 #23) -#786 := (pattern #25) +#826 := (pattern #25) #26 := (f6 f7 #25) #31 := (= #26 0::Int) -#210 := (>= #23 0::Int) -#223 := (or #210 #31) -#793 := (forall (vars (?v0 Int)) (:pat #786) #223) -#226 := (forall (vars (?v0 Int)) #223) -#796 := (iff #226 #793) -#794 := (iff #223 #223) -#795 := [refl]: #794 -#797 := [quant-intro #795]: #796 -#277 := (~ #226 #226) -#199 := (~ #223 #223) -#200 := [refl]: #199 -#278 := [nnf-pos #200]: #277 -#24 := (<= 0::Int #23) -#96 := (or #24 #31) -#101 := (forall (vars (?v0 Int)) #96) -#227 := (iff #101 #226) -#224 := (iff #96 #223) -#211 := (iff #24 #210) -#212 := [rewrite]: #211 -#225 := [monotonicity #212]: #224 -#228 := [quant-intro #225]: #227 +#105 := (>= #23 0::Int) +#136 := (or #105 #31) +#833 := (forall (vars (?v0 Int)) (:pat #826) #136) +#139 := (forall (vars (?v0 Int)) #136) +#836 := (iff #139 #833) +#834 := (iff #136 #136) +#835 := [refl]: #834 +#837 := [quant-intro #835]: #836 +#255 := (~ #139 #139) +#267 := (~ #136 #136) +#268 := [refl]: #267 +#256 := [nnf-pos #268]: #255 #30 := (< #23 0::Int) #32 := (implies #30 #31) #33 := (forall (vars (?v0 Int)) #32) -#102 := (iff #33 #101) -#99 := (iff #32 #96) -#79 := (not #24) -#93 := (implies #79 #31) -#97 := (iff #93 #96) -#98 := [rewrite]: #97 -#94 := (iff #32 #93) -#88 := (iff #30 #79) -#90 := (iff #79 #79) -#75 := (iff #24 #24) -#76 := [rewrite]: #75 -#91 := [monotonicity #76]: #90 -#89 := [rewrite]: #88 -#92 := [trans #89 #91]: #88 -#95 := [monotonicity #92]: #94 -#100 := [trans #95 #98]: #99 -#103 := [quant-intro #100]: #102 -#69 := [asserted]: #33 -#104 := [mp #69 #103]: #101 -#229 := [mp #104 #228]: #226 -#283 := [mp~ #229 #278]: #226 -#798 := [mp #283 #797]: #793 -#705 := (not #793) -#706 := (or #705 #430 #695) -#702 := (or #705 #692) -#696 := (iff #702 #706) -#697 := [rewrite]: #696 -#707 := [quant-inst #10]: #702 -#698 := [mp #707 #697]: #706 -#629 := [unit-resolution #698 #798]: #692 -#586 := [unit-resolution #629 #585]: #430 -#587 := (or #451 #405 #371) -#588 := [th-lemma arith triangle-eq]: #587 -#589 := [unit-resolution #588 #586 #662]: #405 -#729 := (or #471 #457) -#723 := [def-axiom]: #729 -#590 := [unit-resolution #723 #589]: #471 -#561 := (not #471) -#603 := (not #735) -#604 := (or #603 #561 #776) -#563 := [def-axiom]: #604 -#591 := [unit-resolution #563 #590 #584]: #776 -#708 := (not #776) -#634 := (or #708 #718) -#639 := [th-lemma arith triangle-eq]: #634 -#592 := [unit-resolution #639 #591]: #718 -#579 := (not #718) -#594 := (not #681) -#595 := (or #593 #371 #594 #579 #202) -#556 := [th-lemma arith assign-bounds 2 1 3 3]: #595 -#557 := [unit-resolution #556 #586 #592 #209 #599]: #593 -#649 := (not #688) -#650 := (or #649 #680) -#651 := [th-lemma arith triangle-eq]: #650 -[unit-resolution #651 #557 #646]: false -397f4299b276d431a769b4b4686f5d15236336cb 577 0 -unsat +#142 := (iff #33 #139) +#120 := (not #30) +#121 := (or #120 #31) +#124 := (forall (vars (?v0 Int)) #121) +#140 := (iff #124 #139) +#137 := (iff #121 #136) +#134 := (iff #120 #105) +#107 := (not #105) +#129 := (not #107) +#132 := (iff #129 #105) +#133 := [rewrite]: #132 +#130 := (iff #120 #129) +#127 := (iff #30 #107) +#128 := [rewrite]: #127 +#131 := [monotonicity #128]: #130 +#135 := [trans #131 #133]: #134 +#138 := [monotonicity #135]: #137 +#141 := [quant-intro #138]: #140 +#125 := (iff #33 #124) +#122 := (iff #32 #121) +#123 := [rewrite]: #122 +#126 := [quant-intro #123]: #125 +#143 := [trans #126 #141]: #142 +#119 := [asserted]: #33 +#144 := [mp #119 #143]: #139 +#269 := [mp~ #144 #256]: #139 +#838 := [mp #269 #837]: #833 +#745 := (not #833) +#746 := (or #745 #470 #735) +#742 := (or #745 #732) +#736 := (iff #742 #746) +#737 := [rewrite]: #736 +#747 := [quant-inst #10]: #742 +#738 := [mp #747 #737]: #746 +#670 := [unit-resolution #738 #838]: #732 +#627 := [unit-resolution #670 #626]: #470 +#628 := (or #491 #445 #412) +#629 := [th-lemma arith triangle-eq]: #628 +#630 := [unit-resolution #629 #627 #661]: #445 +#769 := (or #511 #497) +#763 := [def-axiom]: #769 +#631 := [unit-resolution #763 #630]: #511 +#601 := (not #511) +#643 := (not #775) +#644 := (or #643 #601 #816) +#603 := [def-axiom]: #644 +#632 := [unit-resolution #603 #631 #625]: #816 +#748 := (not #816) +#679 := (or #748 #758) +#675 := [th-lemma arith triangle-eq]: #679 +#633 := [unit-resolution #675 #632]: #758 +#635 := (not #758) +#619 := (not #722) +#596 := (or #634 #412 #619 #635 #89) +#597 := [th-lemma arith assign-bounds 2 1 3 3]: #596 +#604 := [unit-resolution #597 #627 #633 #96 #646]: #634 +#690 := (not #728) +#691 := (or #690 #721) +#692 := [th-lemma arith triangle-eq]: #691 +[unit-resolution #692 #604 #689]: false +unsat +c5c3c657f3d41eaffb467378e2ecb04b1c7d2a98 559 0 #2 := false decl f10 :: S3 #10 := f10 @@ -15851,229 +14670,201 @@ #16 := (= #15 f10) #17 := 0::Int #18 := (f3 f4 0::Int) -#474 := (= #18 f10) +#416 := (= #18 f10) #19 := (= f10 #18) -#436 := (f3 f4 #11) -#490 := (= #436 #18) -#486 := (= #18 #436) -#500 := (= 0::Int #11) -#442 := (f8 f9 #15) -#534 := (= #442 #11) -#462 := (= #11 #442) -#592 := (= f10 #15) -#365 := (not #19) -#630 := [hypothesis]: #365 -#453 := (or #16 #19) -#79 := (not #16) -#80 := (iff #79 #19) +#476 := (f3 f4 #11) +#424 := (= #476 #18) +#437 := (= #18 #476) +#434 := (= 0::Int #11) +#482 := (f8 f9 #15) +#574 := (= #482 #11) +#462 := (= #11 #482) +#456 := (= f10 #15) +#406 := (not #19) +#534 := [hypothesis]: #406 +#493 := (or #16 #19) +#89 := (not #16) +#90 := (iff #89 #19) #20 := (iff #16 #19) #21 := (not #20) -#81 := (iff #21 #80) -#82 := [rewrite]: #81 -#70 := [asserted]: #21 -#83 := [mp #70 #82]: #80 -#450 := (not #80) -#455 := (or #16 #19 #450) -#456 := [def-axiom]: #455 -#457 := [unit-resolution #456 #83]: #453 -#599 := [unit-resolution #457 #630]: #16 -#593 := [symm #599]: #592 -#463 := [monotonicity #593]: #462 -#498 := [symm #463]: #534 -#499 := (= 0::Int #442) -#496 := (= #14 #442) -#774 := (= #442 #14) -#773 := (>= #14 0::Int) -#545 := (or #773 #79) -#744 := (= #11 0::Int) -#776 := (= #442 0::Int) -#541 := (iff #776 #744) -#555 := [hypothesis]: #16 -#537 := [monotonicity #555]: #534 -#543 := [monotonicity #537]: #541 -#430 := (not #773) -#546 := [hypothesis]: #430 -#777 := (or #773 #776) +#91 := (iff #21 #90) +#92 := [rewrite]: #91 +#88 := [asserted]: #21 +#95 := [mp #88 #92]: #90 +#490 := (not #90) +#495 := (or #16 #19 #490) +#496 := [def-axiom]: #495 +#497 := [unit-resolution #496 #95]: #493 +#536 := [unit-resolution #497 #534]: #16 +#461 := [symm #536]: #456 +#463 := [monotonicity #461]: #462 +#426 := [symm #463]: #574 +#427 := (= 0::Int #482) +#447 := (= #14 #482) +#814 := (= #482 #14) +#813 := (>= #14 0::Int) +#585 := (or #813 #89) +#784 := (= #11 0::Int) +#816 := (= #482 0::Int) +#581 := (iff #816 #784) +#595 := [hypothesis]: #16 +#577 := [monotonicity #595]: #574 +#583 := [monotonicity #577]: #581 +#470 := (not #813) +#586 := [hypothesis]: #470 +#817 := (or #813 #816) #27 := (:var 0 Int) #29 := (f3 f4 #27) -#786 := (pattern #29) +#826 := (pattern #29) #30 := (f8 f9 #29) #35 := (= #30 0::Int) -#210 := (>= #27 0::Int) -#223 := (or #210 #35) -#793 := (forall (vars (?v0 Int)) (:pat #786) #223) -#226 := (forall (vars (?v0 Int)) #223) -#796 := (iff #226 #793) -#794 := (iff #223 #223) -#795 := [refl]: #794 -#797 := [quant-intro #795]: #796 -#271 := (~ #226 #226) -#277 := (~ #223 #223) -#278 := [refl]: #277 -#272 := [nnf-pos #278]: #271 -#28 := (<= 0::Int #27) -#105 := (or #28 #35) -#110 := (forall (vars (?v0 Int)) #105) -#227 := (iff #110 #226) -#224 := (iff #105 #223) -#211 := (iff #28 #210) -#212 := [rewrite]: #211 -#225 := [monotonicity #212]: #224 -#228 := [quant-intro #225]: #227 +#105 := (>= #27 0::Int) +#135 := (or #105 #35) +#833 := (forall (vars (?v0 Int)) (:pat #826) #135) +#138 := (forall (vars (?v0 Int)) #135) +#836 := (iff #138 #833) +#834 := (iff #135 #135) +#835 := [refl]: #834 +#837 := [quant-intro #835]: #836 +#255 := (~ #138 #138) +#267 := (~ #135 #135) +#268 := [refl]: #267 +#256 := [nnf-pos #268]: #255 #34 := (< #27 0::Int) #36 := (implies #34 #35) #37 := (forall (vars (?v0 Int)) #36) -#111 := (iff #37 #110) -#108 := (iff #36 #105) -#88 := (not #28) -#102 := (implies #88 #35) -#106 := (iff #102 #105) -#107 := [rewrite]: #106 -#103 := (iff #36 #102) -#97 := (iff #34 #88) -#99 := (iff #88 #88) -#84 := (iff #28 #28) -#85 := [rewrite]: #84 -#100 := [monotonicity #85]: #99 -#98 := [rewrite]: #97 -#101 := [trans #98 #100]: #97 -#104 := [monotonicity #101]: #103 -#109 := [trans #104 #107]: #108 -#112 := [quant-intro #109]: #111 -#73 := [asserted]: #37 -#113 := [mp #73 #112]: #110 -#229 := [mp #113 #228]: #226 -#283 := [mp~ #229 #272]: #226 -#798 := [mp #283 #797]: #793 -#754 := (not #793) -#417 := (or #754 #773 #776) -#418 := (or #754 #777) -#420 := (iff #418 #417) -#756 := [rewrite]: #420 -#419 := [quant-inst #14]: #418 -#757 := [mp #419 #756]: #417 -#554 := [unit-resolution #757 #798]: #777 -#550 := [unit-resolution #554 #546]: #776 -#544 := [mp #550 #543]: #744 -#650 := (not #744) -#734 := (= #14 0::Int) -#626 := (not #734) -#547 := (or #626 #773) -#548 := [th-lemma arith triangle-eq]: #547 -#549 := [unit-resolution #548 #546]: #626 -#552 := (or #650 #734) -#695 := -3::Int -#140 := -1::Int -#725 := (* -1::Int #11) -#704 := (div #725 -3::Int) -#702 := (* -1::Int #704) -#697 := (+ #14 #702) -#693 := (= #697 0::Int) -#580 := (div #11 3::Int) -#581 := (* -1::Int #580) -#582 := (+ #14 #581) -#724 := (= #582 0::Int) -#737 := (>= #11 0::Int) -#620 := (not #737) -#735 := (<= #11 0::Int) -#712 := (not #735) -#714 := (or #712 #620) -#685 := (if #714 #724 #693) -#689 := (if #744 #734 #685) +#141 := (iff #37 #138) +#119 := (not #34) +#120 := (or #119 #35) +#123 := (forall (vars (?v0 Int)) #120) +#139 := (iff #123 #138) +#136 := (iff #120 #135) +#133 := (iff #119 #105) +#106 := (not #105) +#128 := (not #106) +#131 := (iff #128 #105) +#132 := [rewrite]: #131 +#129 := (iff #119 #128) +#126 := (iff #34 #106) +#127 := [rewrite]: #126 +#130 := [monotonicity #127]: #129 +#134 := [trans #130 #132]: #133 +#137 := [monotonicity #134]: #136 +#140 := [quant-intro #137]: #139 +#124 := (iff #37 #123) +#121 := (iff #36 #120) +#122 := [rewrite]: #121 +#125 := [quant-intro #122]: #124 +#142 := [trans #125 #140]: #141 +#118 := [asserted]: #37 +#143 := [mp #118 #142]: #138 +#269 := [mp~ #143 #256]: #138 +#838 := [mp #269 #837]: #833 +#794 := (not #833) +#457 := (or #794 #813 #816) +#458 := (or #794 #817) +#460 := (iff #458 #457) +#796 := [rewrite]: #460 +#459 := [quant-inst #14]: #458 +#797 := [mp #459 #796]: #457 +#594 := [unit-resolution #797 #838]: #817 +#590 := [unit-resolution #594 #586]: #816 +#584 := [mp #590 #583]: #784 +#690 := (not #784) +#774 := (= #14 0::Int) +#666 := (not #774) +#587 := (or #666 #813) +#588 := [th-lemma arith triangle-eq]: #587 +#589 := [unit-resolution #588 #586]: #666 +#592 := (or #690 #774) +#735 := -3::Int +#145 := -1::Int +#765 := (* -1::Int #11) +#744 := (div #765 -3::Int) +#742 := (* -1::Int #744) +#737 := (+ #14 #742) +#733 := (= #737 0::Int) +#620 := (div #11 3::Int) +#621 := (* -1::Int #620) +#622 := (+ #14 #621) +#764 := (= #622 0::Int) +#777 := (>= #11 0::Int) +#660 := (not #777) +#775 := (<= #11 0::Int) +#752 := (not #775) +#754 := (or #752 #660) +#725 := (if #754 #764 #733) +#729 := (if #784 #774 #725) #38 := (:var 1 Int) #39 := (f6 f7 #38) #40 := (f5 #39 #27) -#799 := (pattern #40) -#144 := (* -1::Int #27) -#141 := (* -1::Int #38) -#147 := (div #141 #144) -#338 := (* -1::Int #147) -#339 := (+ #40 #338) -#340 := (= #339 0::Int) +#839 := (pattern #40) +#149 := (* -1::Int #27) +#146 := (* -1::Int #38) +#152 := (div #146 #149) +#318 := (* -1::Int #152) +#319 := (+ #40 #318) +#320 := (= #319 0::Int) #50 := (div #38 #27) -#335 := (* -1::Int #50) -#336 := (+ #40 #335) -#337 := (= #336 0::Int) -#118 := (<= #27 0::Int) -#230 := (>= #38 0::Int) -#298 := (or #230 #118) -#299 := (not #298) -#114 := (<= #38 0::Int) -#294 := (or #114 #118) -#295 := (not #294) -#302 := (or #295 #299) -#341 := (if #302 #337 #340) -#334 := (= #40 0::Int) +#315 := (* -1::Int #50) +#316 := (+ #40 #315) +#317 := (= #316 0::Int) +#171 := (<= #27 0::Int) +#178 := (>= #38 0::Int) +#278 := (or #178 #171) +#279 := (not #278) +#167 := (<= #38 0::Int) +#276 := (or #167 #171) +#277 := (not #276) +#282 := (or #277 #279) +#321 := (if #282 #317 #320) +#314 := (= #40 0::Int) #42 := (= #27 0::Int) #41 := (= #38 0::Int) #43 := (or #41 #42) -#342 := (if #43 #334 #341) -#800 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #799) #342) -#345 := (forall (vars (?v0 Int) (?v1 Int)) #342) -#803 := (iff #345 #800) -#801 := (iff #342 #342) -#802 := [refl]: #801 -#804 := [quant-intro #802]: #803 -#305 := (if #302 #50 #147) -#308 := (if #43 0::Int #305) -#311 := (= #40 #308) -#314 := (forall (vars (?v0 Int) (?v1 Int)) #311) -#346 := (iff #314 #345) -#343 := (iff #311 #342) -#344 := [rewrite]: #343 -#347 := [quant-intro #344]: #346 -#119 := (not #118) -#233 := (not #230) -#236 := (and #233 #119) -#115 := (not #114) -#122 := (and #115 #119) -#239 := (or #122 #236) -#242 := (if #239 #50 #147) -#245 := (if #43 0::Int #242) -#248 := (= #40 #245) -#251 := (forall (vars (?v0 Int) (?v1 Int)) #248) -#315 := (iff #251 #314) -#312 := (iff #248 #311) -#309 := (= #245 #308) -#306 := (= #242 #305) -#303 := (iff #239 #302) -#300 := (iff #236 #299) -#301 := [rewrite]: #300 -#296 := (iff #122 #295) -#297 := [rewrite]: #296 -#304 := [monotonicity #297 #301]: #303 -#307 := [monotonicity #304]: #306 -#310 := [monotonicity #307]: #309 -#313 := [monotonicity #310]: #312 -#316 := [quant-intro #313]: #315 -#286 := (~ #251 #251) -#284 := (~ #248 #248) -#285 := [refl]: #284 -#287 := [nnf-pos #285]: #286 -#125 := (<= 0::Int #38) -#126 := (not #125) -#134 := (and #126 #119) -#137 := (or #122 #134) -#150 := (if #137 #50 #147) -#153 := (if #43 0::Int #150) -#156 := (= #40 #153) -#159 := (forall (vars (?v0 Int) (?v1 Int)) #156) -#252 := (iff #159 #251) -#249 := (iff #156 #248) -#246 := (= #153 #245) -#243 := (= #150 #242) -#240 := (iff #137 #239) -#237 := (iff #134 #236) -#234 := (iff #126 #233) -#231 := (iff #125 #230) -#232 := [rewrite]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [quant-intro #250]: #252 +#322 := (if #43 #314 #321) +#840 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #839) #322) +#325 := (forall (vars (?v0 Int) (?v1 Int)) #322) +#843 := (iff #325 #840) +#841 := (iff #322 #322) +#842 := [refl]: #841 +#844 := [quant-intro #842]: #843 +#285 := (if #282 #50 #152) +#288 := (if #43 0::Int #285) +#291 := (= #40 #288) +#294 := (forall (vars (?v0 Int) (?v1 Int)) #291) +#326 := (iff #294 #325) +#323 := (iff #291 #322) +#324 := [rewrite]: #323 +#327 := [quant-intro #324]: #326 +#172 := (not #171) +#179 := (not #178) +#182 := (and #179 #172) +#168 := (not #167) +#175 := (and #168 #172) +#185 := (or #175 #182) +#188 := (if #185 #50 #152) +#191 := (if #43 0::Int #188) +#194 := (= #40 #191) +#197 := (forall (vars (?v0 Int) (?v1 Int)) #194) +#295 := (iff #197 #294) +#292 := (iff #194 #291) +#289 := (= #191 #288) +#286 := (= #188 #285) +#283 := (iff #185 #282) +#280 := (iff #182 #279) +#281 := [rewrite]: #280 +#261 := (iff #175 #277) +#262 := [rewrite]: #261 +#284 := [monotonicity #262 #281]: #283 +#287 := [monotonicity #284]: #286 +#290 := [monotonicity #287]: #289 +#293 := [monotonicity #290]: #292 +#296 := [quant-intro #293]: #295 +#257 := (~ #197 #197) +#270 := (~ #194 #194) +#271 := [refl]: #270 +#258 := [nnf-pos #271]: #257 #52 := (- #27) #51 := (- #38) #53 := (div #51 #52) @@ -16087,327 +14878,337 @@ #55 := (if #43 0::Int #54) #56 := (= #40 #55) #57 := (forall (vars (?v0 Int) (?v1 Int)) #56) -#160 := (iff #57 #159) -#157 := (iff #56 #156) -#154 := (= #55 #153) -#151 := (= #54 #150) -#148 := (= #53 #147) -#145 := (= #52 #144) -#146 := [rewrite]: #145 -#142 := (= #51 #141) -#143 := [rewrite]: #142 -#149 := [monotonicity #143 #146]: #148 -#138 := (iff #49 #137) -#135 := (iff #48 #134) -#120 := (iff #45 #119) -#121 := [rewrite]: #120 -#127 := (iff #47 #126) -#131 := (iff #126 #126) -#129 := (iff #125 #125) -#130 := [rewrite]: #129 -#132 := [monotonicity #130]: #131 -#128 := [rewrite]: #127 -#133 := [trans #128 #132]: #127 -#136 := [monotonicity #133 #121]: #135 -#123 := (iff #46 #122) -#116 := (iff #44 #115) -#117 := [rewrite]: #116 -#124 := [monotonicity #117 #121]: #123 -#139 := [monotonicity #124 #136]: #138 -#152 := [monotonicity #139 #149]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [quant-intro #158]: #160 -#74 := [asserted]: #57 -#162 := [mp #74 #161]: #159 -#254 := [mp #162 #253]: #251 -#288 := [mp~ #254 #287]: #251 -#317 := [mp #288 #316]: #314 -#348 := [mp #317 #347]: #345 -#805 := [mp #348 #804]: #800 -#691 := (not #800) -#677 := (or #691 #689) -#726 := (* -1::Int 3::Int) -#727 := (div #725 #726) -#721 := (* -1::Int #727) -#722 := (+ #14 #721) -#728 := (= #722 0::Int) -#736 := (<= 3::Int 0::Int) -#738 := (or #737 #736) -#733 := (not #738) -#731 := (or #735 #736) -#732 := (not #731) -#739 := (or #732 #733) -#729 := (if #739 #724 #728) -#741 := (= 3::Int 0::Int) -#745 := (or #744 #741) -#723 := (if #745 #734 #729) -#678 := (or #691 #723) -#681 := (iff #678 #677) -#679 := (iff #677 #677) -#683 := [rewrite]: #679 -#690 := (iff #723 #689) -#687 := (iff #729 #685) -#700 := (iff #728 #693) -#698 := (= #722 #697) -#707 := (= #721 #702) -#705 := (= #727 #704) -#692 := (= #726 -3::Int) -#694 := [rewrite]: #692 -#706 := [monotonicity #694]: #705 -#696 := [monotonicity #706]: #707 -#699 := [monotonicity #696]: #698 -#684 := [monotonicity #699]: #700 -#701 := (iff #739 #714) -#713 := (iff #733 #620) -#618 := (iff #738 #737) -#614 := (or #737 false) -#616 := (iff #614 #737) -#617 := [rewrite]: #616 -#615 := (iff #738 #614) -#720 := (iff #736 false) -#602 := [rewrite]: #720 -#608 := [monotonicity #602]: #615 -#619 := [trans #608 #617]: #618 -#710 := [monotonicity #619]: #713 -#597 := (iff #732 #712) -#708 := (iff #731 #735) -#603 := (or #735 false) -#711 := (iff #603 #735) -#613 := [rewrite]: #711 -#604 := (iff #731 #603) -#563 := [monotonicity #602]: #604 -#709 := [trans #563 #613]: #708 -#612 := [monotonicity #709]: #597 -#703 := [monotonicity #612 #710]: #701 -#688 := [monotonicity #703 #684]: #687 -#719 := (iff #745 #744) -#561 := (or #744 false) -#716 := (iff #561 #744) -#718 := [rewrite]: #716 -#562 := (iff #745 #561) -#730 := (iff #741 false) -#559 := [rewrite]: #730 -#715 := [monotonicity #559]: #562 -#717 := [trans #715 #718]: #719 -#686 := [monotonicity #717 #688]: #690 -#682 := [monotonicity #686]: #681 -#663 := [trans #682 #683]: #681 -#680 := [quant-inst #11 #13]: #678 -#664 := [mp #680 #663]: #677 -#551 := [unit-resolution #664 #805]: #689 -#649 := (not #689) -#651 := (or #649 #650 #734) -#652 := [def-axiom]: #651 -#553 := [unit-resolution #652 #551]: #552 -#396 := [unit-resolution #553 #549]: #650 -#542 := [unit-resolution #396 #544]: false -#533 := [lemma #542]: #545 -#565 := [unit-resolution #533 #599]: #773 -#775 := (or #430 #774) +#200 := (iff #57 #197) +#155 := (if #49 #50 #152) +#158 := (if #43 0::Int #155) +#161 := (= #40 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#198 := (iff #164 #197) +#195 := (iff #161 #194) +#192 := (= #158 #191) +#189 := (= #155 #188) +#186 := (iff #49 #185) +#183 := (iff #48 #182) +#173 := (iff #45 #172) +#174 := [rewrite]: #173 +#180 := (iff #47 #179) +#181 := [rewrite]: #180 +#184 := [monotonicity #181 #174]: #183 +#176 := (iff #46 #175) +#169 := (iff #44 #168) +#170 := [rewrite]: #169 +#177 := [monotonicity #170 #174]: #176 +#187 := [monotonicity #177 #184]: #186 +#190 := [monotonicity #187]: #189 +#193 := [monotonicity #190]: #192 +#196 := [monotonicity #193]: #195 +#199 := [quant-intro #196]: #198 +#165 := (iff #57 #164) +#162 := (iff #56 #161) +#159 := (= #55 #158) +#156 := (= #54 #155) +#153 := (= #53 #152) +#150 := (= #52 #149) +#151 := [rewrite]: #150 +#147 := (= #51 #146) +#148 := [rewrite]: #147 +#154 := [monotonicity #148 #151]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#201 := [trans #166 #199]: #200 +#144 := [asserted]: #57 +#202 := [mp #144 #201]: #197 +#272 := [mp~ #202 #258]: #197 +#297 := [mp #272 #296]: #294 +#328 := [mp #297 #327]: #325 +#845 := [mp #328 #844]: #840 +#731 := (not #840) +#717 := (or #731 #729) +#766 := (* -1::Int 3::Int) +#767 := (div #765 #766) +#761 := (* -1::Int #767) +#762 := (+ #14 #761) +#768 := (= #762 0::Int) +#776 := (<= 3::Int 0::Int) +#778 := (or #777 #776) +#773 := (not #778) +#771 := (or #775 #776) +#772 := (not #771) +#779 := (or #772 #773) +#769 := (if #779 #764 #768) +#781 := (= 3::Int 0::Int) +#785 := (or #784 #781) +#763 := (if #785 #774 #769) +#718 := (or #731 #763) +#721 := (iff #718 #717) +#719 := (iff #717 #717) +#723 := [rewrite]: #719 +#730 := (iff #763 #729) +#727 := (iff #769 #725) +#740 := (iff #768 #733) +#738 := (= #762 #737) +#747 := (= #761 #742) +#745 := (= #767 #744) +#732 := (= #766 -3::Int) +#734 := [rewrite]: #732 +#746 := [monotonicity #734]: #745 +#736 := [monotonicity #746]: #747 +#739 := [monotonicity #736]: #738 +#724 := [monotonicity #739]: #740 +#741 := (iff #779 #754) +#753 := (iff #773 #660) +#658 := (iff #778 #777) +#654 := (or #777 false) +#656 := (iff #654 #777) +#657 := [rewrite]: #656 +#655 := (iff #778 #654) +#760 := (iff #776 false) +#642 := [rewrite]: #760 +#648 := [monotonicity #642]: #655 +#659 := [trans #648 #657]: #658 +#750 := [monotonicity #659]: #753 +#637 := (iff #772 #752) +#748 := (iff #771 #775) +#643 := (or #775 false) +#751 := (iff #643 #775) +#653 := [rewrite]: #751 +#644 := (iff #771 #643) +#603 := [monotonicity #642]: #644 +#749 := [trans #603 #653]: #748 +#652 := [monotonicity #749]: #637 +#743 := [monotonicity #652 #750]: #741 +#728 := [monotonicity #743 #724]: #727 +#759 := (iff #785 #784) +#601 := (or #784 false) +#756 := (iff #601 #784) +#758 := [rewrite]: #756 +#602 := (iff #785 #601) +#770 := (iff #781 false) +#599 := [rewrite]: #770 +#755 := [monotonicity #599]: #602 +#757 := [trans #755 #758]: #759 +#726 := [monotonicity #757 #728]: #730 +#722 := [monotonicity #726]: #721 +#703 := [trans #722 #723]: #721 +#720 := [quant-inst #11 #13]: #718 +#704 := [mp #720 #703]: #717 +#591 := [unit-resolution #704 #845]: #729 +#689 := (not #729) +#691 := (or #689 #690 #774) +#692 := [def-axiom]: #691 +#593 := [unit-resolution #692 #591]: #592 +#436 := [unit-resolution #593 #589]: #690 +#582 := [unit-resolution #436 #584]: false +#573 := [lemma #582]: #585 +#537 := [unit-resolution #573 #536]: #813 +#815 := (or #470 #814) #31 := (= #30 #27) -#213 := (not #210) -#216 := (or #213 #31) -#787 := (forall (vars (?v0 Int)) (:pat #786) #216) -#219 := (forall (vars (?v0 Int)) #216) -#790 := (iff #219 #787) -#788 := (iff #216 #216) -#789 := [refl]: #788 -#791 := [quant-intro #789]: #790 -#209 := (~ #219 #219) -#282 := (~ #216 #216) -#208 := [refl]: #282 -#275 := [nnf-pos #208]: #209 -#89 := (or #88 #31) -#93 := (forall (vars (?v0 Int)) #89) -#220 := (iff #93 #219) -#217 := (iff #89 #216) -#214 := (iff #88 #213) -#215 := [monotonicity #212]: #214 -#218 := [monotonicity #215]: #217 -#221 := [quant-intro #218]: #220 +#109 := (or #106 #31) +#827 := (forall (vars (?v0 Int)) (:pat #826) #109) +#112 := (forall (vars (?v0 Int)) #109) +#830 := (iff #112 #827) +#828 := (iff #109 #109) +#829 := [refl]: #828 +#831 := [quant-intro #829]: #830 +#253 := (~ #112 #112) +#252 := (~ #109 #109) +#249 := [refl]: #252 +#254 := [nnf-pos #249]: #253 +#28 := (<= 0::Int #27) #32 := (implies #28 #31) #33 := (forall (vars (?v0 Int)) #32) -#94 := (iff #33 #93) -#90 := (iff #32 #89) -#91 := [rewrite]: #90 -#86 := (iff #32 #32) -#87 := [monotonicity #85]: #86 -#92 := [trans #87 #91]: #90 -#95 := [quant-intro #92]: #94 -#72 := [asserted]: #33 -#96 := [mp #72 #95]: #93 -#222 := [mp #96 #221]: #219 -#276 := [mp~ #222 #275]: #219 -#792 := [mp #276 #791]: #787 -#772 := (not #787) -#778 := (or #772 #430 #774) -#768 := (or #772 #775) -#433 := (iff #768 #778) -#769 := [rewrite]: #433 -#428 := [quant-inst #14]: #768 -#429 := [mp #428 #769]: #778 -#588 := [unit-resolution #429 #792]: #775 -#589 := [unit-resolution #588 #565]: #774 -#497 := [symm #589]: #496 -#494 := (= 0::Int #14) -#624 := (* -1::Int #14) -#609 := (+ #11 #624) -#605 := (>= #609 0::Int) -#569 := (= #11 #14) -#464 := [trans #463 #589]: #569 -#742 := (not #569) -#743 := (or #742 #605) -#508 := [th-lemma arith triangle-eq]: #743 -#509 := [unit-resolution #508 #464]: #605 -#510 := (not #605) -#511 := (or #737 #430 #510) -#512 := [th-lemma arith assign-bounds 1 1]: #511 -#513 := [unit-resolution #512 #565 #509]: #737 -#610 := (<= #609 0::Int) -#502 := (or #742 #610) -#514 := [th-lemma arith triangle-eq]: #502 -#491 := [unit-resolution #514 #464]: #610 -#515 := (not #610) -#506 := (or #734 #515 #620 #430) -#674 := (mod #11 3::Int) -#587 := (* -1::Int #674) -#586 := (* -3::Int #580) -#635 := (+ #11 #586 #587) -#636 := (= #635 0::Int) -#1 := true -#207 := [true-axiom]: true -#458 := (or false #636) -#740 := [th-lemma arith]: #458 -#583 := [unit-resolution #740 #207]: #636 -#590 := (>= #635 0::Int) -#528 := (not #590) -#591 := (>= #674 0::Int) -#585 := (or false #591) -#573 := [th-lemma arith]: #585 -#574 := [unit-resolution #573 #207]: #591 -#666 := (<= #14 0::Int) -#576 := (not #666) -#575 := [hypothesis]: #773 -#558 := [hypothesis]: #626 -#577 := (or #734 #576 #430) -#578 := [th-lemma arith triangle-eq]: #577 -#536 := [unit-resolution #578 #558 #575]: #576 -#538 := [hypothesis]: #610 -#675 := (<= #582 0::Int) -#539 := [unit-resolution #553 #558]: #650 -#535 := (or #744 #685) -#647 := (or #649 #744 #685) -#653 := [def-axiom]: #647 -#540 := [unit-resolution #653 #551]: #535 -#530 := [unit-resolution #540 #539]: #685 -#520 := [hypothesis]: #737 -#522 := (or #744 #712 #620) -#523 := [th-lemma arith triangle-eq]: #522 -#526 := [unit-resolution #523 #539 #520]: #712 -#667 := (or #714 #735) -#668 := [def-axiom]: #667 -#527 := [unit-resolution #668 #526]: #714 -#671 := (not #714) -#657 := (not #685) -#658 := (or #657 #671 #724) -#659 := [def-axiom]: #658 -#531 := [unit-resolution #659 #527 #530]: #724 -#656 := (not #724) -#524 := (or #656 #675) -#532 := [th-lemma arith triangle-eq]: #524 -#525 := [unit-resolution #532 #531]: #675 -#517 := (not #675) -#529 := (not #591) -#518 := (or #528 #529 #666 #515 #517) -#516 := [th-lemma arith assign-bounds 1 2 1 3]: #518 -#519 := [unit-resolution #516 #525 #538 #536 #574]: #528 -#501 := (not #636) -#503 := (or #501 #590) -#504 := [th-lemma arith triangle-eq]: #503 -#505 := [unit-resolution #504 #519 #583]: false -#507 := [lemma #505]: #506 -#493 := [unit-resolution #507 #491 #513 #565]: #734 -#495 := [symm #493]: #494 -#492 := [trans #495 #497]: #499 -#485 := [trans #492 #498]: #500 -#487 := [monotonicity #485]: #486 -#479 := [symm #487]: #490 -#489 := (= f10 #436) -#771 := (= #436 f10) +#115 := (iff #33 #112) +#96 := (not #28) +#97 := (or #96 #31) +#100 := (forall (vars (?v0 Int)) #97) +#113 := (iff #100 #112) +#110 := (iff #97 #109) +#107 := (iff #96 #106) +#103 := (iff #28 #105) +#104 := [rewrite]: #103 +#108 := [monotonicity #104]: #107 +#111 := [monotonicity #108]: #110 +#114 := [quant-intro #111]: #113 +#101 := (iff #33 #100) +#98 := (iff #32 #97) +#99 := [rewrite]: #98 +#102 := [quant-intro #99]: #101 +#116 := [trans #102 #114]: #115 +#94 := [asserted]: #33 +#117 := [mp #94 #116]: #112 +#250 := [mp~ #117 #254]: #112 +#832 := [mp #250 #831]: #827 +#812 := (not #827) +#818 := (or #812 #470 #814) +#808 := (or #812 #815) +#473 := (iff #808 #818) +#809 := [rewrite]: #473 +#468 := [quant-inst #14]: #808 +#469 := [mp #468 #809]: #818 +#538 := [unit-resolution #469 #832]: #815 +#454 := [unit-resolution #538 #537]: #814 +#422 := [symm #454]: #447 +#446 := (= 0::Int #14) +#614 := (* -1::Int #14) +#615 := (+ #11 #614) +#616 := (>= #615 0::Int) +#613 := (= #11 #14) +#464 := [trans #463 #454]: #613 +#465 := (not #613) +#466 := (or #465 #616) +#455 := [th-lemma arith triangle-eq]: #466 +#467 := [unit-resolution #455 #464]: #616 +#448 := (not #616) +#450 := (or #777 #470 #448) +#451 := [th-lemma arith assign-bounds 1 1]: #450 +#449 := [unit-resolution #451 #537 #467]: #777 +#598 := (<= #615 0::Int) +#452 := (or #465 #598) +#440 := [th-lemma arith triangle-eq]: #452 +#442 := [unit-resolution #440 #464]: #598 +#471 := (not #598) +#474 := (or #774 #471 #660 #470) +#714 := (mod #11 3::Int) +#563 := (* -1::Int #714) +#562 := (* -3::Int #620) +#566 := (+ #562 #563) +#567 := (+ #11 #566) +#560 := (= #567 0::Int) +#1 := true +#86 := [true-axiom]: true +#539 := (or false #560) +#532 := [th-lemma arith]: #539 +#540 := [unit-resolution #532 #86]: #560 +#565 := (>= #567 0::Int) +#479 := (not #565) +#568 := (>= #714 0::Int) +#525 := (or false #568) +#526 := [th-lemma arith]: #525 +#527 := [unit-resolution #526 #86]: #568 +#706 := (<= #14 0::Int) +#530 := (not #706) +#529 := [hypothesis]: #813 +#528 := [hypothesis]: #666 +#519 := (or #774 #530 #470) +#520 := [th-lemma arith triangle-eq]: #519 +#521 := [unit-resolution #520 #528 #529]: #530 +#513 := [hypothesis]: #598 +#715 := (<= #622 0::Int) +#522 := [unit-resolution #593 #528]: #690 +#523 := (or #784 #725) +#687 := (or #689 #784 #725) +#693 := [def-axiom]: #687 +#514 := [unit-resolution #693 #591]: #523 +#524 := [unit-resolution #514 #522]: #725 +#505 := [hypothesis]: #777 +#506 := (or #784 #752 #660) +#507 := [th-lemma arith triangle-eq]: #506 +#499 := [unit-resolution #507 #522 #505]: #752 +#707 := (or #754 #775) +#708 := [def-axiom]: #707 +#508 := [unit-resolution #708 #499]: #754 +#711 := (not #754) +#697 := (not #725) +#698 := (or #697 #711 #764) +#699 := [def-axiom]: #698 +#509 := [unit-resolution #699 #508 #524]: #764 +#696 := (not #764) +#500 := (or #696 #715) +#510 := [th-lemma arith triangle-eq]: #500 +#477 := [unit-resolution #510 #509]: #715 +#484 := (not #715) +#480 := (not #568) +#485 := (or #479 #480 #706 #471 #484) +#486 := [th-lemma arith assign-bounds 1 2 1 3]: #485 +#487 := [unit-resolution #486 #477 #513 #521 #527]: #479 +#488 := (not #560) +#478 := (or #488 #565) +#489 := [th-lemma arith triangle-eq]: #478 +#472 := [unit-resolution #489 #487 #540]: false +#475 := [lemma #472]: #474 +#443 := [unit-resolution #475 #442 #449 #537]: #774 +#441 := [symm #443]: #446 +#432 := [trans #441 #422]: #427 +#435 := [trans #432 #426]: #434 +#433 := [monotonicity #435]: #437 +#425 := [symm #433]: #424 +#438 := (= f10 #476) +#811 := (= #476 f10) #22 := (:var 0 S3) #23 := (f8 f9 #22) -#779 := (pattern #23) +#819 := (pattern #23) #24 := (f3 f4 #23) #25 := (= #24 #22) -#780 := (forall (vars (?v0 S3)) (:pat #779) #25) +#820 := (forall (vars (?v0 S3)) (:pat #819) #25) #26 := (forall (vars (?v0 S3)) #25) -#783 := (iff #26 #780) -#781 := (iff #25 #25) -#782 := [refl]: #781 -#784 := [quant-intro #782]: #783 -#273 := (~ #26 #26) -#279 := (~ #25 #25) -#280 := [refl]: #279 -#274 := [nnf-pos #280]: #273 -#71 := [asserted]: #26 -#281 := [mp~ #71 #274]: #26 -#785 := [mp #281 #784]: #780 -#560 := (not #780) -#767 := (or #560 #771) -#441 := [quant-inst #10]: #767 -#631 := [unit-resolution #441 #785]: #771 -#488 := [symm #631]: #489 -#480 := [trans #488 #479]: #19 -#481 := [unit-resolution #630 #480]: false -#473 := [lemma #481]: #19 -#484 := [symm #473]: #474 -#468 := (= #15 #18) -#758 := (f8 f9 #18) -#759 := (= #758 0::Int) -#371 := (or #772 #759) -#770 := (>= 0::Int 0::Int) -#413 := (not #770) -#760 := (or #413 #759) -#748 := (or #772 #760) -#471 := (iff #748 #371) -#746 := (iff #371 #371) -#750 := [rewrite]: #746 -#477 := (iff #760 #759) -#766 := (or false #759) -#475 := (iff #766 #759) -#476 := [rewrite]: #475 -#752 := (iff #760 #766) -#765 := (iff #413 false) -#399 := (not true) -#404 := (iff #399 false) -#405 := [rewrite]: #404 -#762 := (iff #413 #399) -#755 := (iff #770 true) -#761 := [rewrite]: #755 -#764 := [monotonicity #761]: #762 -#763 := [trans #764 #405]: #765 -#753 := [monotonicity #763]: #752 -#478 := [trans #753 #476]: #477 -#472 := [monotonicity #478]: #471 -#747 := [trans #472 #750]: #471 -#749 := [quant-inst #17]: #748 -#751 := [mp #749 #747]: #371 -#483 := [unit-resolution #751 #792]: #759 -#465 := (= #11 #758) -#466 := [monotonicity #473]: #465 -#467 := [trans #466 #483]: #744 -#459 := [unit-resolution #553 #467]: #734 -#469 := [monotonicity #459]: #468 -#460 := [trans #469 #484]: #16 -#443 := (or #79 #365) -#451 := (or #79 #365 #450) -#452 := [def-axiom]: #451 -#454 := [unit-resolution #452 #83]: #443 -#482 := [unit-resolution #454 #473]: #79 -[unit-resolution #482 #460]: false -1a7e6fb939840d6cef72226e157b39c6c463f1a1 283 0 -unsat +#823 := (iff #26 #820) +#821 := (iff #25 #25) +#822 := [refl]: #821 +#824 := [quant-intro #822]: #823 +#265 := (~ #26 #26) +#263 := (~ #25 #25) +#264 := [refl]: #263 +#266 := [nnf-pos #264]: #265 +#93 := [asserted]: #26 +#251 := [mp~ #93 #266]: #26 +#825 := [mp #251 #824]: #820 +#600 := (not #820) +#807 := (or #600 #811) +#481 := [quant-inst #10]: #807 +#535 := [unit-resolution #481 #825]: #811 +#421 := [symm #535]: #438 +#428 := [trans #421 #425]: #19 +#429 := [unit-resolution #534 #428]: false +#430 := [lemma #429]: #19 +#413 := [symm #430]: #416 +#415 := (= #15 #18) +#798 := (f8 f9 #18) +#799 := (= #798 0::Int) +#412 := (or #812 #799) +#810 := (>= 0::Int 0::Int) +#453 := (not #810) +#800 := (or #453 #799) +#788 := (or #812 #800) +#511 := (iff #788 #412) +#786 := (iff #412 #412) +#790 := [rewrite]: #786 +#517 := (iff #800 #799) +#806 := (or false #799) +#515 := (iff #806 #799) +#516 := [rewrite]: #515 +#792 := (iff #800 #806) +#805 := (iff #453 false) +#439 := (not true) +#444 := (iff #439 false) +#445 := [rewrite]: #444 +#802 := (iff #453 #439) +#795 := (iff #810 true) +#801 := [rewrite]: #795 +#804 := [monotonicity #801]: #802 +#803 := [trans #804 #445]: #805 +#793 := [monotonicity #803]: #792 +#518 := [trans #793 #516]: #517 +#512 := [monotonicity #518]: #511 +#787 := [trans #512 #790]: #511 +#789 := [quant-inst #17]: #788 +#791 := [mp #789 #787]: #412 +#431 := [unit-resolution #791 #832]: #799 +#414 := (= #11 #798) +#417 := [monotonicity #430]: #414 +#418 := [trans #417 #431]: #784 +#419 := [unit-resolution #593 #418]: #774 +#420 := [monotonicity #419]: #415 +#407 := [trans #420 #413]: #16 +#483 := (or #89 #406) +#491 := (or #89 #406 #490) +#492 := [def-axiom]: #491 +#494 := [unit-resolution #492 #95]: #483 +#423 := [unit-resolution #494 #430]: #89 +[unit-resolution #423 #407]: false +unsat +1d2ee8034acef6abcc30ff56f495f5a58955cc18 267 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -16422,111 +15223,84 @@ #11 := (f5 #10 0::Int) #12 := (f3 f4 #11) #14 := (= #12 #13) -#461 := (= #11 0::Int) +#502 := (= #11 0::Int) #22 := (:var 0 Int) #34 := (:var 1 Int) #54 := (f6 f7 #34) #55 := (f5 #54 #22) -#796 := (pattern #55) -#130 := -1::Int -#134 := (* -1::Int #22) -#131 := (* -1::Int #34) -#153 := (mod #131 #134) -#344 := (+ #55 #153) -#345 := (= #344 0::Int) +#837 := (pattern #55) +#135 := -1::Int +#139 := (* -1::Int #22) +#136 := (* -1::Int #34) +#194 := (mod #136 #139) +#324 := (+ #55 #194) +#325 := (= #324 0::Int) #56 := (mod #34 #22) -#341 := (* -1::Int #56) -#342 := (+ #55 #341) -#343 := (= #342 0::Int) -#108 := (<= #22 0::Int) -#220 := (>= #34 0::Int) -#288 := (or #220 #108) -#289 := (not #288) -#104 := (<= #34 0::Int) -#284 := (or #104 #108) -#285 := (not #284) -#292 := (or #285 #289) -#346 := (if #292 #343 #345) -#340 := (= #55 0::Int) +#321 := (* -1::Int #56) +#322 := (+ #55 #321) +#323 := (= #322 0::Int) +#161 := (<= #22 0::Int) +#168 := (>= #34 0::Int) +#268 := (or #168 #161) +#269 := (not #268) +#157 := (<= #34 0::Int) +#266 := (or #157 #161) +#267 := (not #266) +#272 := (or #267 #269) +#326 := (if #272 #323 #325) +#320 := (= #55 0::Int) #37 := (= #34 0::Int) -#347 := (if #37 #340 #346) -#339 := (= #55 #34) +#327 := (if #37 #320 #326) +#319 := (= #55 #34) #38 := (= #22 0::Int) -#348 := (if #38 #339 #347) -#797 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #796) #348) -#351 := (forall (vars (?v0 Int) (?v1 Int)) #348) -#800 := (iff #351 #797) -#798 := (iff #348 #348) -#799 := [refl]: #798 -#801 := [quant-intro #799]: #800 -#159 := (* -1::Int #153) -#308 := (if #292 #56 #159) -#311 := (if #37 0::Int #308) -#314 := (if #38 #34 #311) -#317 := (= #55 #314) -#320 := (forall (vars (?v0 Int) (?v1 Int)) #317) -#352 := (iff #320 #351) -#349 := (iff #317 #348) -#350 := [rewrite]: #349 -#353 := [quant-intro #350]: #352 -#109 := (not #108) -#223 := (not #220) -#226 := (and #223 #109) -#105 := (not #104) -#112 := (and #105 #109) -#229 := (or #112 #226) -#245 := (if #229 #56 #159) -#248 := (if #37 0::Int #245) -#251 := (if #38 #34 #248) -#254 := (= #55 #251) -#257 := (forall (vars (?v0 Int) (?v1 Int)) #254) -#321 := (iff #257 #320) -#318 := (iff #254 #317) -#315 := (= #251 #314) -#312 := (= #248 #311) -#309 := (= #245 #308) -#293 := (iff #229 #292) -#290 := (iff #226 #289) -#291 := [rewrite]: #290 -#286 := (iff #112 #285) -#287 := [rewrite]: #286 -#294 := [monotonicity #287 #291]: #293 -#310 := [monotonicity #294]: #309 -#313 := [monotonicity #310]: #312 -#316 := [monotonicity #313]: #315 -#319 := [monotonicity #316]: #318 -#322 := [quant-intro #319]: #321 -#281 := (~ #257 #257) -#279 := (~ #254 #254) -#280 := [refl]: #279 -#282 := [nnf-pos #280]: #281 -#115 := (<= 0::Int #34) -#116 := (not #115) -#124 := (and #116 #109) -#127 := (or #112 #124) -#164 := (if #127 #56 #159) -#167 := (if #37 0::Int #164) -#170 := (if #38 #34 #167) -#173 := (= #55 #170) -#176 := (forall (vars (?v0 Int) (?v1 Int)) #173) -#258 := (iff #176 #257) -#255 := (iff #173 #254) -#252 := (= #170 #251) -#249 := (= #167 #248) -#246 := (= #164 #245) -#230 := (iff #127 #229) -#227 := (iff #124 #226) -#224 := (iff #116 #223) -#221 := (iff #115 #220) -#222 := [rewrite]: #221 -#225 := [monotonicity #222]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#247 := [monotonicity #231]: #246 -#250 := [monotonicity #247]: #249 -#253 := [monotonicity #250]: #252 -#256 := [monotonicity #253]: #255 -#259 := [quant-intro #256]: #258 +#328 := (if #38 #319 #327) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #328) +#331 := (forall (vars (?v0 Int) (?v1 Int)) #328) +#841 := (iff #331 #838) +#839 := (iff #328 #328) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#200 := (* -1::Int #194) +#288 := (if #272 #56 #200) +#291 := (if #37 0::Int #288) +#294 := (if #38 #34 #291) +#297 := (= #55 #294) +#300 := (forall (vars (?v0 Int) (?v1 Int)) #297) +#332 := (iff #300 #331) +#329 := (iff #297 #328) +#330 := [rewrite]: #329 +#333 := [quant-intro #330]: #332 +#162 := (not #161) +#169 := (not #168) +#172 := (and #169 #162) +#158 := (not #157) +#165 := (and #158 #162) +#175 := (or #165 #172) +#220 := (if #175 #56 #200) +#223 := (if #37 0::Int #220) +#226 := (if #38 #34 #223) +#229 := (= #55 #226) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#301 := (iff #232 #300) +#298 := (iff #229 #297) +#295 := (= #226 #294) +#292 := (= #223 #291) +#289 := (= #220 #288) +#273 := (iff #175 #272) +#270 := (iff #172 #269) +#271 := [rewrite]: #270 +#251 := (iff #165 #267) +#252 := [rewrite]: #251 +#274 := [monotonicity #252 #271]: #273 +#290 := [monotonicity #274]: #289 +#293 := [monotonicity #290]: #292 +#296 := [monotonicity #293]: #295 +#299 := [monotonicity #296]: #298 +#302 := [quant-intro #299]: #301 +#249 := (~ #232 #232) +#263 := (~ #229 #229) +#264 := [refl]: #263 +#250 := [nnf-pos #264]: #249 #48 := (- #22) #47 := (- #34) #57 := (mod #47 #48) @@ -16542,156 +15316,167 @@ #61 := (if #38 #34 #60) #62 := (= #55 #61) #63 := (forall (vars (?v0 Int) (?v1 Int)) #62) -#177 := (iff #63 #176) -#174 := (iff #62 #173) -#171 := (= #61 #170) -#168 := (= #60 #167) -#165 := (= #59 #164) -#162 := (= #58 #159) -#156 := (- #153) -#160 := (= #156 #159) -#161 := [rewrite]: #160 -#157 := (= #58 #156) -#154 := (= #57 #153) -#135 := (= #48 #134) -#136 := [rewrite]: #135 -#132 := (= #47 #131) -#133 := [rewrite]: #132 -#155 := [monotonicity #133 #136]: #154 -#158 := [monotonicity #155]: #157 -#163 := [trans #158 #161]: #162 -#128 := (iff #45 #127) -#125 := (iff #44 #124) -#110 := (iff #41 #109) -#111 := [rewrite]: #110 -#117 := (iff #43 #116) -#121 := (iff #116 #116) -#119 := (iff #115 #115) -#120 := [rewrite]: #119 -#122 := [monotonicity #120]: #121 -#118 := [rewrite]: #117 -#123 := [trans #118 #122]: #117 -#126 := [monotonicity #123 #111]: #125 -#113 := (iff #42 #112) -#106 := (iff #40 #105) -#107 := [rewrite]: #106 -#114 := [monotonicity #107 #111]: #113 -#129 := [monotonicity #114 #126]: #128 -#166 := [monotonicity #129 #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [quant-intro #175]: #177 -#70 := [asserted]: #63 -#179 := [mp #70 #178]: #176 -#260 := [mp #179 #259]: #257 -#283 := [mp~ #260 #282]: #257 -#323 := [mp #283 #322]: #320 -#354 := [mp #323 #353]: #351 -#802 := [mp #354 #801]: #797 -#697 := (not #797) -#686 := (or #697 #461) -#733 := (* -1::Int 0::Int) -#448 := (mod #733 #733) -#730 := (+ #11 #448) -#734 := (= #730 0::Int) -#452 := (mod 0::Int 0::Int) -#453 := (* -1::Int #452) -#454 := (+ #11 #453) -#732 := (= #454 0::Int) -#462 := (<= 0::Int 0::Int) -#550 := (>= 0::Int 0::Int) -#737 := (or #550 #462) -#741 := (not #737) -#736 := (or #462 #462) -#740 := (not #736) -#451 := (or #740 #741) -#731 := (if #451 #732 #734) -#739 := (= 0::Int 0::Int) -#735 := (if #739 #461 #731) -#724 := (if #739 #461 #735) -#687 := (or #697 #724) -#689 := (iff #687 #686) -#690 := (iff #686 #686) -#674 := [rewrite]: #690 -#696 := (iff #724 #461) -#1 := true -#685 := (if true #461 #461) -#694 := (iff #685 #461) -#695 := [rewrite]: #694 -#682 := (iff #724 #685) -#691 := (iff #735 #461) -#701 := (+ #11 #452) -#699 := (= #701 0::Int) -#609 := (if true #461 #699) -#700 := (iff #609 #461) -#704 := [rewrite]: #700 -#610 := (iff #735 #609) -#607 := (iff #731 #699) -#602 := (if false #732 #699) -#598 := (iff #602 #699) -#606 := [rewrite]: #598 -#604 := (iff #731 #602) -#702 := (iff #734 #699) -#603 := (= #730 #701) -#594 := (= #448 #452) -#592 := (= #733 0::Int) -#593 := [rewrite]: #592 -#553 := [monotonicity #593 #593]: #594 -#698 := [monotonicity #553]: #603 -#587 := [monotonicity #698]: #702 -#707 := (iff #451 false) -#552 := (or false false) -#708 := (iff #552 false) -#709 := [rewrite]: #708 -#705 := (iff #451 #552) -#549 := (iff #741 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#713 := (iff #741 #419) -#718 := (iff #737 true) -#727 := (or true true) -#729 := (iff #727 true) -#570 := [rewrite]: #729 -#711 := (iff #737 #727) -#721 := (iff #462 true) -#722 := [rewrite]: #721 -#423 := (iff #550 true) -#759 := [rewrite]: #423 -#712 := [monotonicity #759 #722]: #711 -#719 := [trans #712 #570]: #718 -#720 := [monotonicity #719]: #713 -#551 := [trans #720 #407]: #549 -#716 := (iff #740 false) -#714 := (iff #740 #419) -#571 := (iff #736 true) -#728 := (iff #736 #727) -#723 := [monotonicity #722 #722]: #728 -#572 := [trans #723 #570]: #571 -#715 := [monotonicity #572]: #714 -#717 := [trans #715 #407]: #716 -#706 := [monotonicity #717 #551]: #705 -#710 := [trans #706 #709]: #707 -#605 := [monotonicity #710 #587]: #604 -#608 := [trans #605 #606]: #607 -#725 := (iff #739 true) -#726 := [rewrite]: #725 -#703 := [monotonicity #726 #608]: #610 -#693 := [trans #703 #704]: #691 -#684 := [monotonicity #726 #693]: #682 -#692 := [trans #684 #695]: #696 -#683 := [monotonicity #692]: #689 -#675 := [trans #683 #674]: #689 -#688 := [quant-inst #9 #9]: #687 -#677 := [mp #688 #675]: #686 -#679 := [unit-resolution #677 #802]: #461 -#680 := [monotonicity #679]: #14 -#15 := (not #14) -#65 := [asserted]: #15 -[unit-resolution #65 #680]: false -936a202ebc7a104f43c75b92a8828d52b8119be5 316 0 -unsat +#235 := (iff #63 #232) +#205 := (if #45 #56 #200) +#208 := (if #37 0::Int #205) +#211 := (if #38 #34 #208) +#214 := (= #55 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#233 := (iff #217 #232) +#230 := (iff #214 #229) +#227 := (= #211 #226) +#224 := (= #208 #223) +#221 := (= #205 #220) +#176 := (iff #45 #175) +#173 := (iff #44 #172) +#163 := (iff #41 #162) +#164 := [rewrite]: #163 +#170 := (iff #43 #169) +#171 := [rewrite]: #170 +#174 := [monotonicity #171 #164]: #173 +#166 := (iff #42 #165) +#159 := (iff #40 #158) +#160 := [rewrite]: #159 +#167 := [monotonicity #160 #164]: #166 +#177 := [monotonicity #167 #174]: #176 +#222 := [monotonicity #177]: #221 +#225 := [monotonicity #222]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [quant-intro #231]: #233 +#218 := (iff #63 #217) +#215 := (iff #62 #214) +#212 := (= #61 #211) +#209 := (= #60 #208) +#206 := (= #59 #205) +#203 := (= #58 #200) +#197 := (- #194) +#201 := (= #197 #200) +#202 := [rewrite]: #201 +#198 := (= #58 #197) +#195 := (= #57 #194) +#140 := (= #48 #139) +#141 := [rewrite]: #140 +#137 := (= #47 #136) +#138 := [rewrite]: #137 +#196 := [monotonicity #138 #141]: #195 +#199 := [monotonicity #196]: #198 +#204 := [trans #199 #202]: #203 +#207 := [monotonicity #204]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#236 := [trans #219 #234]: #235 +#193 := [asserted]: #63 +#237 := [mp #193 #236]: #232 +#265 := [mp~ #237 #250]: #232 +#303 := [mp #265 #302]: #300 +#334 := [mp #303 #333]: #331 +#843 := [mp #334 #842]: #838 +#738 := (not #838) +#727 := (or #738 #502) +#774 := (* -1::Int 0::Int) +#489 := (mod #774 #774) +#771 := (+ #11 #489) +#775 := (= #771 0::Int) +#493 := (mod 0::Int 0::Int) +#494 := (* -1::Int #493) +#495 := (+ #11 #494) +#773 := (= #495 0::Int) +#503 := (<= 0::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#778 := (or #591 #503) +#782 := (not #778) +#777 := (or #503 #503) +#781 := (not #777) +#492 := (or #781 #782) +#772 := (if #492 #773 #775) +#780 := (= 0::Int 0::Int) +#776 := (if #780 #502 #772) +#765 := (if #780 #502 #776) +#728 := (or #738 #765) +#730 := (iff #728 #727) +#731 := (iff #727 #727) +#715 := [rewrite]: #731 +#737 := (iff #765 #502) +#1 := true +#726 := (if true #502 #502) +#735 := (iff #726 #502) +#736 := [rewrite]: #735 +#723 := (iff #765 #726) +#732 := (iff #776 #502) +#742 := (+ #11 #493) +#740 := (= #742 0::Int) +#650 := (if true #502 #740) +#741 := (iff #650 #502) +#745 := [rewrite]: #741 +#651 := (iff #776 #650) +#648 := (iff #772 #740) +#643 := (if false #773 #740) +#639 := (iff #643 #740) +#647 := [rewrite]: #639 +#645 := (iff #772 #643) +#743 := (iff #775 #740) +#644 := (= #771 #742) +#635 := (= #489 #493) +#633 := (= #774 0::Int) +#634 := [rewrite]: #633 +#594 := [monotonicity #634 #634]: #635 +#739 := [monotonicity #594]: #644 +#628 := [monotonicity #739]: #743 +#748 := (iff #492 false) +#593 := (or false false) +#749 := (iff #593 false) +#750 := [rewrite]: #749 +#746 := (iff #492 #593) +#590 := (iff #782 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#754 := (iff #782 #460) +#759 := (iff #778 true) +#768 := (or true true) +#770 := (iff #768 true) +#611 := [rewrite]: #770 +#752 := (iff #778 #768) +#762 := (iff #503 true) +#763 := [rewrite]: #762 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#753 := [monotonicity #800 #763]: #752 +#760 := [trans #753 #611]: #759 +#761 := [monotonicity #760]: #754 +#592 := [trans #761 #448]: #590 +#757 := (iff #781 false) +#755 := (iff #781 #460) +#612 := (iff #777 true) +#769 := (iff #777 #768) +#764 := [monotonicity #763 #763]: #769 +#613 := [trans #764 #611]: #612 +#756 := [monotonicity #613]: #755 +#758 := [trans #756 #448]: #757 +#747 := [monotonicity #758 #592]: #746 +#751 := [trans #747 #750]: #748 +#646 := [monotonicity #751 #628]: #645 +#649 := [trans #646 #647]: #648 +#766 := (iff #780 true) +#767 := [rewrite]: #766 +#744 := [monotonicity #767 #649]: #651 +#734 := [trans #744 #745]: #732 +#725 := [monotonicity #767 #734]: #723 +#733 := [trans #725 #736]: #737 +#724 := [monotonicity #733]: #730 +#716 := [trans #724 #715]: #730 +#729 := [quant-inst #9 #9]: #728 +#718 := [mp #729 #716]: #727 +#720 := [unit-resolution #718 #843]: #502 +#721 := [monotonicity #720]: #14 +#15 := (not #14) +#83 := [asserted]: #15 +[unit-resolution #83 #721]: false +unsat +3423d3f62be3468a179235b7bd3ba97bcbe5bc80 300 0 #2 := false decl f10 :: S3 #10 := f10 @@ -16711,136 +15496,109 @@ #7 := f4 #15 := (f3 f4 #14) #16 := (= #15 f10) -#356 := (f3 f4 #11) -#441 := (= #356 f10) +#398 := (f3 f4 #11) +#482 := (= #398 f10) #18 := (:var 0 S3) #19 := (f8 f9 #18) -#770 := (pattern #19) +#811 := (pattern #19) #20 := (f3 f4 #19) #21 := (= #20 #18) -#771 := (forall (vars (?v0 S3)) (:pat #770) #21) +#812 := (forall (vars (?v0 S3)) (:pat #811) #21) #22 := (forall (vars (?v0 S3)) #21) -#774 := (iff #22 #771) -#772 := (iff #21 #21) -#773 := [refl]: #772 -#775 := [quant-intro #773]: #774 -#264 := (~ #22 #22) -#199 := (~ #21 #21) -#200 := [refl]: #199 -#265 := [nnf-pos #200]: #264 -#67 := [asserted]: #22 -#268 := [mp~ #67 #265]: #22 -#776 := [mp #268 #775]: #771 -#434 := (not #771) -#445 := (or #434 #441) -#446 := [quant-inst #10]: #445 -#609 := [unit-resolution #446 #776]: #441 -#611 := (= #15 #356) -#767 := (= #14 #11) +#815 := (iff #22 #812) +#813 := (iff #21 #21) +#814 := [refl]: #813 +#816 := [quant-intro #814]: #815 +#256 := (~ #22 #22) +#254 := (~ #21 #21) +#255 := [refl]: #254 +#257 := [nnf-pos #255]: #256 +#85 := [asserted]: #22 +#242 := [mp~ #85 #257]: #22 +#817 := [mp #242 #816]: #812 +#475 := (not #812) +#486 := (or #475 #482) +#487 := [quant-inst #10]: #486 +#650 := [unit-resolution #487 #817]: #482 +#652 := (= #15 #398) +#808 := (= #14 #11) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f6 f7 #35) #56 := (f5 #55 #23) -#797 := (pattern #56) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #35) -#154 := (mod #132 #135) -#345 := (+ #56 #154) -#346 := (= #345 0::Int) +#838 := (pattern #56) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #35) +#195 := (mod #137 #140) +#325 := (+ #56 #195) +#326 := (= #325 0::Int) #57 := (mod #35 #23) -#342 := (* -1::Int #57) -#343 := (+ #56 #342) -#344 := (= #343 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #35 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #35 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#347 := (if #293 #344 #346) -#341 := (= #56 0::Int) +#322 := (* -1::Int #57) +#323 := (+ #56 #322) +#324 := (= #323 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #35 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #35 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#327 := (if #273 #324 #326) +#321 := (= #56 0::Int) #38 := (= #35 0::Int) -#348 := (if #38 #341 #347) -#340 := (= #56 #35) +#328 := (if #38 #321 #327) +#320 := (= #56 #35) #39 := (= #23 0::Int) -#349 := (if #39 #340 #348) -#798 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #797) #349) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#801 := (iff #352 #798) -#799 := (iff #349 #349) -#800 := [refl]: #799 -#802 := [quant-intro #800]: #801 -#160 := (* -1::Int #154) -#309 := (if #293 #57 #160) -#312 := (if #38 0::Int #309) -#315 := (if #39 #35 #312) -#318 := (= #56 #315) -#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) -#353 := (iff #321 #352) -#350 := (iff #318 #349) -#351 := [rewrite]: #350 -#354 := [quant-intro #351]: #353 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#246 := (if #230 #57 #160) -#249 := (if #38 0::Int #246) -#252 := (if #39 #35 #249) -#255 := (= #56 #252) -#258 := (forall (vars (?v0 Int) (?v1 Int)) #255) -#322 := (iff #258 #321) -#319 := (iff #255 #318) -#316 := (= #252 #315) -#313 := (= #249 #312) -#310 := (= #246 #309) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#311 := [monotonicity #295]: #310 -#314 := [monotonicity #311]: #313 -#317 := [monotonicity #314]: #316 -#320 := [monotonicity #317]: #319 -#323 := [quant-intro #320]: #322 -#282 := (~ #258 #258) -#280 := (~ #255 #255) -#281 := [refl]: #280 -#283 := [nnf-pos #281]: #282 -#116 := (<= 0::Int #35) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#165 := (if #128 #57 #160) -#168 := (if #38 0::Int #165) -#171 := (if #39 #35 #168) -#174 := (= #56 #171) -#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) -#259 := (iff #177 #258) -#256 := (iff #174 #255) -#253 := (= #171 #252) -#250 := (= #168 #249) -#247 := (= #165 #246) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#248 := [monotonicity #232]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [quant-intro #257]: #259 +#329 := (if #39 #320 #328) +#839 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #838) #329) +#332 := (forall (vars (?v0 Int) (?v1 Int)) #329) +#842 := (iff #332 #839) +#840 := (iff #329 #329) +#841 := [refl]: #840 +#843 := [quant-intro #841]: #842 +#201 := (* -1::Int #195) +#289 := (if #273 #57 #201) +#292 := (if #38 0::Int #289) +#295 := (if #39 #35 #292) +#298 := (= #56 #295) +#301 := (forall (vars (?v0 Int) (?v1 Int)) #298) +#333 := (iff #301 #332) +#330 := (iff #298 #329) +#331 := [rewrite]: #330 +#334 := [quant-intro #331]: #333 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#221 := (if #176 #57 #201) +#224 := (if #38 0::Int #221) +#227 := (if #39 #35 #224) +#230 := (= #56 #227) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#302 := (iff #233 #301) +#299 := (iff #230 #298) +#296 := (= #227 #295) +#293 := (= #224 #292) +#290 := (= #221 #289) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#291 := [monotonicity #275]: #290 +#294 := [monotonicity #291]: #293 +#297 := [monotonicity #294]: #296 +#300 := [monotonicity #297]: #299 +#303 := [quant-intro #300]: #302 +#250 := (~ #233 #233) +#264 := (~ #230 #230) +#265 := [refl]: #264 +#251 := [nnf-pos #265]: #250 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -16856,159 +15614,170 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#178 := (iff #64 #177) -#175 := (iff #63 #174) -#172 := (= #62 #171) -#169 := (= #61 #168) -#166 := (= #60 #165) -#163 := (= #59 #160) -#157 := (- #154) -#161 := (= #157 #160) -#162 := [rewrite]: #161 -#158 := (= #59 #157) -#155 := (= #58 #154) -#136 := (= #49 #135) -#137 := [rewrite]: #136 -#133 := (= #48 #132) -#134 := [rewrite]: #133 -#156 := [monotonicity #134 #137]: #155 -#159 := [monotonicity #156]: #158 -#164 := [trans #159 #162]: #163 -#129 := (iff #46 #128) -#126 := (iff #45 #125) -#111 := (iff #42 #110) -#112 := [rewrite]: #111 -#118 := (iff #44 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #43 #113) -#107 := (iff #41 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#167 := [monotonicity #130 #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [quant-intro #176]: #178 -#71 := [asserted]: #64 -#180 := [mp #71 #179]: #177 -#261 := [mp #180 #260]: #258 -#284 := [mp~ #261 #283]: #258 -#324 := [mp #284 #323]: #321 -#355 := [mp #324 #354]: #352 -#803 := [mp #355 #802]: #798 -#699 := (not #798) -#700 := (or #699 #767) -#390 := (* -1::Int 0::Int) -#752 := (* -1::Int #11) -#753 := (mod #752 #390) -#755 := (+ #14 #753) -#395 := (= #755 0::Int) -#749 := (mod #11 0::Int) -#750 := (* -1::Int #749) -#751 := (+ #14 #750) -#746 := (= #751 0::Int) -#745 := (<= 0::Int 0::Int) -#410 := (>= #11 0::Int) -#411 := (or #410 #745) -#747 := (not #411) -#404 := (<= #11 0::Int) -#408 := (or #404 #745) -#409 := (not #408) -#748 := (or #409 #747) -#396 := (if #748 #746 #395) -#761 := (= #14 0::Int) -#420 := (= #11 0::Int) -#756 := (if #420 #761 #396) -#766 := (= 0::Int 0::Int) -#754 := (if #766 #767 #756) -#703 := (or #699 #754) -#603 := (iff #703 #700) -#606 := (iff #700 #700) -#599 := [rewrite]: #606 -#702 := (iff #754 #767) -#573 := (mod #752 0::Int) -#717 := (+ #14 #573) -#713 := (= #717 0::Int) -#709 := (if #420 #761 #713) -#1 := true -#711 := (if true #767 #709) -#595 := (iff #711 #767) -#554 := [rewrite]: #595 -#593 := (iff #754 #711) -#710 := (iff #756 #709) -#706 := (iff #396 #713) -#714 := (if false #746 #713) -#552 := (iff #714 #713) -#553 := [rewrite]: #552 -#721 := (iff #396 #714) -#719 := (iff #395 #713) -#718 := (= #755 #717) -#715 := (= #753 #573) -#571 := (= #390 0::Int) -#572 := [rewrite]: #571 -#716 := [monotonicity #572]: #715 -#712 := [monotonicity #716]: #718 -#720 := [monotonicity #712]: #719 -#724 := (iff #748 false) -#727 := (or false false) -#728 := (iff #727 false) -#729 := [rewrite]: #728 -#722 := (iff #748 #727) -#725 := (iff #747 false) -#463 := (not true) -#738 := (iff #463 false) -#742 := [rewrite]: #738 -#732 := (iff #747 #463) -#731 := (iff #411 true) -#454 := (or #410 true) -#734 := (iff #454 true) -#449 := [rewrite]: #734 -#455 := (iff #411 #454) -#744 := (iff #745 true) -#466 := [rewrite]: #744 -#733 := [monotonicity #466]: #455 -#735 := [trans #733 #449]: #731 -#736 := [monotonicity #735]: #732 -#726 := [trans #736 #742]: #725 -#452 := (iff #409 false) -#737 := (iff #409 #463) -#740 := (iff #408 true) -#467 := (or #404 true) -#362 := (iff #467 true) -#739 := [rewrite]: #362 -#468 := (iff #408 #467) -#469 := [monotonicity #466]: #468 -#462 := [trans #469 #739]: #740 -#741 := [monotonicity #462]: #737 -#453 := [trans #741 #742]: #452 -#723 := [monotonicity #453 #726]: #722 -#730 := [trans #723 #729]: #724 -#550 := [monotonicity #730 #720]: #721 -#707 := [trans #550 #553]: #706 -#708 := [monotonicity #707]: #710 -#757 := (iff #766 true) -#743 := [rewrite]: #757 -#594 := [monotonicity #743 #708]: #593 -#604 := [trans #594 #554]: #702 -#605 := [monotonicity #604]: #603 -#607 := [trans #605 #599]: #603 -#588 := [quant-inst #11 #13]: #703 -#608 := [mp #588 #607]: #700 -#610 := [unit-resolution #608 #803]: #767 -#704 := [monotonicity #610]: #611 -#701 := [trans #704 #609]: #16 +#236 := (iff #64 #233) +#206 := (if #46 #57 #201) +#209 := (if #38 0::Int #206) +#212 := (if #39 #35 #209) +#215 := (= #56 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#234 := (iff #218 #233) +#231 := (iff #215 #230) +#228 := (= #212 #227) +#225 := (= #209 #224) +#222 := (= #206 #221) +#177 := (iff #46 #176) +#174 := (iff #45 #173) +#164 := (iff #42 #163) +#165 := [rewrite]: #164 +#171 := (iff #44 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #43 #166) +#160 := (iff #41 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#223 := [monotonicity #178]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [quant-intro #232]: #234 +#219 := (iff #64 #218) +#216 := (iff #63 #215) +#213 := (= #62 #212) +#210 := (= #61 #209) +#207 := (= #60 #206) +#204 := (= #59 #201) +#198 := (- #195) +#202 := (= #198 #201) +#203 := [rewrite]: #202 +#199 := (= #59 #198) +#196 := (= #58 #195) +#141 := (= #49 #140) +#142 := [rewrite]: #141 +#138 := (= #48 #137) +#139 := [rewrite]: #138 +#197 := [monotonicity #139 #142]: #196 +#200 := [monotonicity #197]: #199 +#205 := [trans #200 #203]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#237 := [trans #220 #235]: #236 +#194 := [asserted]: #64 +#238 := [mp #194 #237]: #233 +#266 := [mp~ #238 #251]: #233 +#304 := [mp #266 #303]: #301 +#335 := [mp #304 #334]: #332 +#844 := [mp #335 #843]: #839 +#740 := (not #839) +#741 := (or #740 #808) +#431 := (* -1::Int 0::Int) +#793 := (* -1::Int #11) +#794 := (mod #793 #431) +#796 := (+ #14 #794) +#436 := (= #796 0::Int) +#790 := (mod #11 0::Int) +#791 := (* -1::Int #790) +#792 := (+ #14 #791) +#787 := (= #792 0::Int) +#786 := (<= 0::Int 0::Int) +#451 := (>= #11 0::Int) +#452 := (or #451 #786) +#788 := (not #452) +#445 := (<= #11 0::Int) +#449 := (or #445 #786) +#450 := (not #449) +#789 := (or #450 #788) +#437 := (if #789 #787 #436) +#802 := (= #14 0::Int) +#461 := (= #11 0::Int) +#797 := (if #461 #802 #437) +#807 := (= 0::Int 0::Int) +#795 := (if #807 #808 #797) +#744 := (or #740 #795) +#644 := (iff #744 #741) +#647 := (iff #741 #741) +#640 := [rewrite]: #647 +#743 := (iff #795 #808) +#614 := (mod #793 0::Int) +#758 := (+ #14 #614) +#754 := (= #758 0::Int) +#750 := (if #461 #802 #754) +#1 := true +#752 := (if true #808 #750) +#636 := (iff #752 #808) +#595 := [rewrite]: #636 +#634 := (iff #795 #752) +#751 := (iff #797 #750) +#747 := (iff #437 #754) +#755 := (if false #787 #754) +#593 := (iff #755 #754) +#594 := [rewrite]: #593 +#762 := (iff #437 #755) +#760 := (iff #436 #754) +#759 := (= #796 #758) +#756 := (= #794 #614) +#612 := (= #431 0::Int) +#613 := [rewrite]: #612 +#757 := [monotonicity #613]: #756 +#753 := [monotonicity #757]: #759 +#761 := [monotonicity #753]: #760 +#765 := (iff #789 false) +#768 := (or false false) +#769 := (iff #768 false) +#770 := [rewrite]: #769 +#763 := (iff #789 #768) +#766 := (iff #788 false) +#504 := (not true) +#779 := (iff #504 false) +#783 := [rewrite]: #779 +#773 := (iff #788 #504) +#772 := (iff #452 true) +#495 := (or #451 true) +#775 := (iff #495 true) +#490 := [rewrite]: #775 +#496 := (iff #452 #495) +#785 := (iff #786 true) +#507 := [rewrite]: #785 +#774 := [monotonicity #507]: #496 +#776 := [trans #774 #490]: #772 +#777 := [monotonicity #776]: #773 +#767 := [trans #777 #783]: #766 +#493 := (iff #450 false) +#778 := (iff #450 #504) +#781 := (iff #449 true) +#508 := (or #445 true) +#404 := (iff #508 true) +#780 := [rewrite]: #404 +#509 := (iff #449 #508) +#510 := [monotonicity #507]: #509 +#503 := [trans #510 #780]: #781 +#782 := [monotonicity #503]: #778 +#494 := [trans #782 #783]: #493 +#764 := [monotonicity #494 #767]: #763 +#771 := [trans #764 #770]: #765 +#591 := [monotonicity #771 #761]: #762 +#748 := [trans #591 #594]: #747 +#749 := [monotonicity #748]: #751 +#798 := (iff #807 true) +#784 := [rewrite]: #798 +#635 := [monotonicity #784 #749]: #634 +#645 := [trans #635 #595]: #743 +#646 := [monotonicity #645]: #644 +#648 := [trans #646 #640]: #644 +#629 := [quant-inst #11 #13]: #744 +#649 := [mp #629 #648]: #741 +#651 := [unit-resolution #649 #844]: #808 +#745 := [monotonicity #651]: #652 +#742 := [trans #745 #650]: #16 #17 := (not #16) -#66 := [asserted]: #17 -[unit-resolution #66 #701]: false -364659a809da594253b58b8a2b28d9516abee4db 310 0 -unsat +#84 := [asserted]: #17 +[unit-resolution #84 #742]: false +unsat +c3011ba0f8d5cd7434b90805d32c60ec6054ba7f 294 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -17024,111 +15793,84 @@ #12 := (f5 #10 1::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#461 := (= #12 0::Int) +#502 := (= #12 0::Int) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f6 f7 #35) #56 := (f5 #55 #23) -#796 := (pattern #56) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #35) -#154 := (mod #132 #135) -#345 := (+ #56 #154) -#346 := (= #345 0::Int) +#837 := (pattern #56) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #35) +#195 := (mod #137 #140) +#325 := (+ #56 #195) +#326 := (= #325 0::Int) #57 := (mod #35 #23) -#342 := (* -1::Int #57) -#343 := (+ #56 #342) -#344 := (= #343 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #35 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #35 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#347 := (if #293 #344 #346) -#341 := (= #56 0::Int) +#322 := (* -1::Int #57) +#323 := (+ #56 #322) +#324 := (= #323 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #35 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #35 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#327 := (if #273 #324 #326) +#321 := (= #56 0::Int) #38 := (= #35 0::Int) -#348 := (if #38 #341 #347) -#340 := (= #56 #35) +#328 := (if #38 #321 #327) +#320 := (= #56 #35) #39 := (= #23 0::Int) -#349 := (if #39 #340 #348) -#797 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #796) #349) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#800 := (iff #352 #797) -#798 := (iff #349 #349) -#799 := [refl]: #798 -#801 := [quant-intro #799]: #800 -#160 := (* -1::Int #154) -#309 := (if #293 #57 #160) -#312 := (if #38 0::Int #309) -#315 := (if #39 #35 #312) -#318 := (= #56 #315) -#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) -#353 := (iff #321 #352) -#350 := (iff #318 #349) -#351 := [rewrite]: #350 -#354 := [quant-intro #351]: #353 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#246 := (if #230 #57 #160) -#249 := (if #38 0::Int #246) -#252 := (if #39 #35 #249) -#255 := (= #56 #252) -#258 := (forall (vars (?v0 Int) (?v1 Int)) #255) -#322 := (iff #258 #321) -#319 := (iff #255 #318) -#316 := (= #252 #315) -#313 := (= #249 #312) -#310 := (= #246 #309) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#311 := [monotonicity #295]: #310 -#314 := [monotonicity #311]: #313 -#317 := [monotonicity #314]: #316 -#320 := [monotonicity #317]: #319 -#323 := [quant-intro #320]: #322 -#282 := (~ #258 #258) -#280 := (~ #255 #255) -#281 := [refl]: #280 -#283 := [nnf-pos #281]: #282 -#116 := (<= 0::Int #35) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#165 := (if #128 #57 #160) -#168 := (if #38 0::Int #165) -#171 := (if #39 #35 #168) -#174 := (= #56 #171) -#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) -#259 := (iff #177 #258) -#256 := (iff #174 #255) -#253 := (= #171 #252) -#250 := (= #168 #249) -#247 := (= #165 #246) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#248 := [monotonicity #232]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [quant-intro #257]: #259 +#329 := (if #39 #320 #328) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #329) +#332 := (forall (vars (?v0 Int) (?v1 Int)) #329) +#841 := (iff #332 #838) +#839 := (iff #329 #329) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#201 := (* -1::Int #195) +#289 := (if #273 #57 #201) +#292 := (if #38 0::Int #289) +#295 := (if #39 #35 #292) +#298 := (= #56 #295) +#301 := (forall (vars (?v0 Int) (?v1 Int)) #298) +#333 := (iff #301 #332) +#330 := (iff #298 #329) +#331 := [rewrite]: #330 +#334 := [quant-intro #331]: #333 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#221 := (if #176 #57 #201) +#224 := (if #38 0::Int #221) +#227 := (if #39 #35 #224) +#230 := (= #56 #227) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#302 := (iff #233 #301) +#299 := (iff #230 #298) +#296 := (= #227 #295) +#293 := (= #224 #292) +#290 := (= #221 #289) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#291 := [monotonicity #275]: #290 +#294 := [monotonicity #291]: #293 +#297 := [monotonicity #294]: #296 +#300 := [monotonicity #297]: #299 +#303 := [quant-intro #300]: #302 +#250 := (~ #233 #233) +#264 := (~ #230 #230) +#265 := [refl]: #264 +#251 := [nnf-pos #265]: #250 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -17144,182 +15886,193 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#178 := (iff #64 #177) -#175 := (iff #63 #174) -#172 := (= #62 #171) -#169 := (= #61 #168) -#166 := (= #60 #165) -#163 := (= #59 #160) -#157 := (- #154) -#161 := (= #157 #160) -#162 := [rewrite]: #161 -#158 := (= #59 #157) -#155 := (= #58 #154) -#136 := (= #49 #135) -#137 := [rewrite]: #136 -#133 := (= #48 #132) -#134 := [rewrite]: #133 -#156 := [monotonicity #134 #137]: #155 -#159 := [monotonicity #156]: #158 -#164 := [trans #159 #162]: #163 -#129 := (iff #46 #128) -#126 := (iff #45 #125) -#111 := (iff #42 #110) -#112 := [rewrite]: #111 -#118 := (iff #44 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #43 #113) -#107 := (iff #41 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#167 := [monotonicity #130 #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [quant-intro #176]: #178 -#71 := [asserted]: #64 -#180 := [mp #71 #179]: #177 -#261 := [mp #180 #260]: #258 -#284 := [mp~ #261 #283]: #258 -#324 := [mp #284 #323]: #321 -#355 := [mp #324 #354]: #352 -#802 := [mp #355 #801]: #797 -#658 := (not #797) -#659 := (or #658 #461) -#734 := (* -1::Int 1::Int) -#730 := (* -1::Int 0::Int) -#731 := (mod #730 #734) -#735 := (+ #12 #731) -#724 := (= #735 0::Int) -#454 := (mod 0::Int 1::Int) -#732 := (* -1::Int #454) -#733 := (+ #12 #732) -#448 := (= #733 0::Int) -#740 := (<= 1::Int 0::Int) -#550 := (>= 0::Int 0::Int) -#451 := (or #550 #740) -#452 := (not #451) -#736 := (<= 0::Int 0::Int) -#737 := (or #736 #740) -#741 := (not #737) -#453 := (or #741 #452) -#725 := (if #453 #448 #724) -#462 := (= 0::Int 0::Int) -#726 := (if #462 #461 #725) -#739 := (= 1::Int 0::Int) -#721 := (if #739 #461 #726) -#660 := (or #658 #721) -#662 := (iff #660 #659) -#664 := (iff #659 #659) -#665 := [rewrite]: #664 -#656 := (iff #721 #461) -#675 := (if false #461 #461) -#679 := (iff #675 #461) -#680 := [rewrite]: #679 -#653 := (iff #721 #675) -#669 := (iff #726 #461) -#1 := true -#667 := (if true #461 #461) -#671 := (iff #667 #461) -#672 := [rewrite]: #671 -#668 := (iff #726 #667) -#676 := (iff #725 #461) -#677 := (iff #725 #675) -#690 := (iff #724 #461) -#689 := (= #735 #12) -#607 := (+ #12 0::Int) -#610 := (= #607 #12) -#703 := [rewrite]: #610 -#687 := (= #735 #607) -#697 := (= #731 0::Int) -#684 := (mod 0::Int -1::Int) -#696 := (= #684 0::Int) -#692 := [rewrite]: #696 -#694 := (= #731 #684) -#685 := (= #734 -1::Int) -#682 := [rewrite]: #685 -#604 := (= #730 0::Int) -#605 := [rewrite]: #604 -#695 := [monotonicity #605 #682]: #694 -#686 := [trans #695 #692]: #697 -#688 := [monotonicity #686]: #687 -#683 := [trans #688 #703]: #689 -#674 := [monotonicity #683]: #690 -#691 := (iff #448 #461) -#700 := (= #733 #12) -#608 := (= #733 #607) -#598 := (= #732 0::Int) -#587 := (= #732 #730) -#699 := (= #454 0::Int) -#702 := [rewrite]: #699 -#602 := [monotonicity #702]: #587 -#606 := [trans #602 #605]: #598 -#609 := [monotonicity #606]: #608 -#704 := [trans #609 #703]: #700 -#693 := [monotonicity #704]: #691 -#603 := (iff #453 false) -#592 := (or false false) -#553 := (iff #592 false) -#701 := [rewrite]: #553 -#593 := (iff #453 #592) -#707 := (iff #452 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#708 := (iff #452 #419) -#705 := (iff #451 true) -#714 := (or true false) -#717 := (iff #714 true) -#711 := [rewrite]: #717 -#551 := (iff #451 #714) -#571 := (iff #740 false) -#572 := [rewrite]: #571 -#423 := (iff #550 true) -#759 := [rewrite]: #423 -#552 := [monotonicity #759 #572]: #551 -#706 := [trans #552 #711]: #705 -#709 := [monotonicity #706]: #708 -#710 := [trans #709 #407]: #707 -#720 := (iff #741 false) -#719 := (iff #741 #419) -#712 := (iff #737 true) -#715 := (iff #737 #714) -#729 := (iff #736 true) -#570 := [rewrite]: #729 -#716 := [monotonicity #570 #572]: #715 -#718 := [trans #716 #711]: #712 -#713 := [monotonicity #718]: #719 -#549 := [trans #713 #407]: #720 -#594 := [monotonicity #549 #710]: #593 -#698 := [trans #594 #701]: #603 -#678 := [monotonicity #698 #693 #674]: #677 -#681 := [trans #678 #680]: #676 -#728 := (iff #462 true) -#723 := [rewrite]: #728 -#670 := [monotonicity #723 #681]: #668 -#673 := [trans #670 #672]: #669 -#722 := (iff #739 false) -#727 := [rewrite]: #722 -#654 := [monotonicity #727 #673]: #653 -#657 := [trans #654 #680]: #656 -#663 := [monotonicity #657]: #662 -#655 := [trans #663 #665]: #662 -#661 := [quant-inst #9 #11]: #660 -#666 := [mp #661 #655]: #659 -#645 := [unit-resolution #666 #802]: #461 -#647 := [monotonicity #645]: #15 +#236 := (iff #64 #233) +#206 := (if #46 #57 #201) +#209 := (if #38 0::Int #206) +#212 := (if #39 #35 #209) +#215 := (= #56 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#234 := (iff #218 #233) +#231 := (iff #215 #230) +#228 := (= #212 #227) +#225 := (= #209 #224) +#222 := (= #206 #221) +#177 := (iff #46 #176) +#174 := (iff #45 #173) +#164 := (iff #42 #163) +#165 := [rewrite]: #164 +#171 := (iff #44 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #43 #166) +#160 := (iff #41 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#223 := [monotonicity #178]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [quant-intro #232]: #234 +#219 := (iff #64 #218) +#216 := (iff #63 #215) +#213 := (= #62 #212) +#210 := (= #61 #209) +#207 := (= #60 #206) +#204 := (= #59 #201) +#198 := (- #195) +#202 := (= #198 #201) +#203 := [rewrite]: #202 +#199 := (= #59 #198) +#196 := (= #58 #195) +#141 := (= #49 #140) +#142 := [rewrite]: #141 +#138 := (= #48 #137) +#139 := [rewrite]: #138 +#197 := [monotonicity #139 #142]: #196 +#200 := [monotonicity #197]: #199 +#205 := [trans #200 #203]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#237 := [trans #220 #235]: #236 +#194 := [asserted]: #64 +#238 := [mp #194 #237]: #233 +#266 := [mp~ #238 #251]: #233 +#304 := [mp #266 #303]: #301 +#335 := [mp #304 #334]: #332 +#843 := [mp #335 #842]: #838 +#699 := (not #838) +#700 := (or #699 #502) +#775 := (* -1::Int 1::Int) +#771 := (* -1::Int 0::Int) +#772 := (mod #771 #775) +#776 := (+ #12 #772) +#765 := (= #776 0::Int) +#495 := (mod 0::Int 1::Int) +#773 := (* -1::Int #495) +#774 := (+ #12 #773) +#489 := (= #774 0::Int) +#781 := (<= 1::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#492 := (or #591 #781) +#493 := (not #492) +#777 := (<= 0::Int 0::Int) +#778 := (or #777 #781) +#782 := (not #778) +#494 := (or #782 #493) +#766 := (if #494 #489 #765) +#503 := (= 0::Int 0::Int) +#767 := (if #503 #502 #766) +#780 := (= 1::Int 0::Int) +#762 := (if #780 #502 #767) +#701 := (or #699 #762) +#703 := (iff #701 #700) +#705 := (iff #700 #700) +#706 := [rewrite]: #705 +#697 := (iff #762 #502) +#716 := (if false #502 #502) +#720 := (iff #716 #502) +#721 := [rewrite]: #720 +#694 := (iff #762 #716) +#710 := (iff #767 #502) +#1 := true +#708 := (if true #502 #502) +#712 := (iff #708 #502) +#713 := [rewrite]: #712 +#709 := (iff #767 #708) +#717 := (iff #766 #502) +#718 := (iff #766 #716) +#731 := (iff #765 #502) +#730 := (= #776 #12) +#648 := (+ #12 0::Int) +#651 := (= #648 #12) +#744 := [rewrite]: #651 +#728 := (= #776 #648) +#738 := (= #772 0::Int) +#725 := (mod 0::Int -1::Int) +#737 := (= #725 0::Int) +#733 := [rewrite]: #737 +#735 := (= #772 #725) +#726 := (= #775 -1::Int) +#723 := [rewrite]: #726 +#645 := (= #771 0::Int) +#646 := [rewrite]: #645 +#736 := [monotonicity #646 #723]: #735 +#727 := [trans #736 #733]: #738 +#729 := [monotonicity #727]: #728 +#724 := [trans #729 #744]: #730 +#715 := [monotonicity #724]: #731 +#732 := (iff #489 #502) +#741 := (= #774 #12) +#649 := (= #774 #648) +#639 := (= #773 0::Int) +#628 := (= #773 #771) +#740 := (= #495 0::Int) +#743 := [rewrite]: #740 +#643 := [monotonicity #743]: #628 +#647 := [trans #643 #646]: #639 +#650 := [monotonicity #647]: #649 +#745 := [trans #650 #744]: #741 +#734 := [monotonicity #745]: #732 +#644 := (iff #494 false) +#633 := (or false false) +#594 := (iff #633 false) +#742 := [rewrite]: #594 +#634 := (iff #494 #633) +#748 := (iff #493 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#749 := (iff #493 #460) +#746 := (iff #492 true) +#755 := (or true false) +#758 := (iff #755 true) +#752 := [rewrite]: #758 +#592 := (iff #492 #755) +#612 := (iff #781 false) +#613 := [rewrite]: #612 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#593 := [monotonicity #800 #613]: #592 +#747 := [trans #593 #752]: #746 +#750 := [monotonicity #747]: #749 +#751 := [trans #750 #448]: #748 +#761 := (iff #782 false) +#760 := (iff #782 #460) +#753 := (iff #778 true) +#756 := (iff #778 #755) +#770 := (iff #777 true) +#611 := [rewrite]: #770 +#757 := [monotonicity #611 #613]: #756 +#759 := [trans #757 #752]: #753 +#754 := [monotonicity #759]: #760 +#590 := [trans #754 #448]: #761 +#635 := [monotonicity #590 #751]: #634 +#739 := [trans #635 #742]: #644 +#719 := [monotonicity #739 #734 #715]: #718 +#722 := [trans #719 #721]: #717 +#769 := (iff #503 true) +#764 := [rewrite]: #769 +#711 := [monotonicity #764 #722]: #709 +#714 := [trans #711 #713]: #710 +#763 := (iff #780 false) +#768 := [rewrite]: #763 +#695 := [monotonicity #768 #714]: #694 +#698 := [trans #695 #721]: #697 +#704 := [monotonicity #698]: #703 +#696 := [trans #704 #706]: #703 +#702 := [quant-inst #9 #11]: #701 +#707 := [mp #702 #696]: #700 +#686 := [unit-resolution #707 #843]: #502 +#688 := [monotonicity #686]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #647]: false -c3b392a5be27990617a5e1dba37905919a3d03ec 311 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #688]: false +unsat +87b099d8145ebeef9dc0d37605a12e1099e37589 295 0 #2 := false decl f3 :: (-> S2 Int S3) #13 := 0::Int @@ -17335,111 +16088,84 @@ #11 := (f5 #10 1::Int) #12 := (f3 f4 #11) #15 := (= #12 #14) -#462 := (= #11 0::Int) +#503 := (= #11 0::Int) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f6 f7 #35) #56 := (f5 #55 #23) -#796 := (pattern #56) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #35) -#154 := (mod #132 #135) -#345 := (+ #56 #154) -#346 := (= #345 0::Int) +#837 := (pattern #56) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #35) +#195 := (mod #137 #140) +#325 := (+ #56 #195) +#326 := (= #325 0::Int) #57 := (mod #35 #23) -#342 := (* -1::Int #57) -#343 := (+ #56 #342) -#344 := (= #343 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #35 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #35 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#347 := (if #293 #344 #346) -#341 := (= #56 0::Int) +#322 := (* -1::Int #57) +#323 := (+ #56 #322) +#324 := (= #323 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #35 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #35 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#327 := (if #273 #324 #326) +#321 := (= #56 0::Int) #38 := (= #35 0::Int) -#348 := (if #38 #341 #347) -#340 := (= #56 #35) +#328 := (if #38 #321 #327) +#320 := (= #56 #35) #39 := (= #23 0::Int) -#349 := (if #39 #340 #348) -#797 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #796) #349) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#800 := (iff #352 #797) -#798 := (iff #349 #349) -#799 := [refl]: #798 -#801 := [quant-intro #799]: #800 -#160 := (* -1::Int #154) -#309 := (if #293 #57 #160) -#312 := (if #38 0::Int #309) -#315 := (if #39 #35 #312) -#318 := (= #56 #315) -#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) -#353 := (iff #321 #352) -#350 := (iff #318 #349) -#351 := [rewrite]: #350 -#354 := [quant-intro #351]: #353 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#246 := (if #230 #57 #160) -#249 := (if #38 0::Int #246) -#252 := (if #39 #35 #249) -#255 := (= #56 #252) -#258 := (forall (vars (?v0 Int) (?v1 Int)) #255) -#322 := (iff #258 #321) -#319 := (iff #255 #318) -#316 := (= #252 #315) -#313 := (= #249 #312) -#310 := (= #246 #309) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#311 := [monotonicity #295]: #310 -#314 := [monotonicity #311]: #313 -#317 := [monotonicity #314]: #316 -#320 := [monotonicity #317]: #319 -#323 := [quant-intro #320]: #322 -#282 := (~ #258 #258) -#280 := (~ #255 #255) -#281 := [refl]: #280 -#283 := [nnf-pos #281]: #282 -#116 := (<= 0::Int #35) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#165 := (if #128 #57 #160) -#168 := (if #38 0::Int #165) -#171 := (if #39 #35 #168) -#174 := (= #56 #171) -#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) -#259 := (iff #177 #258) -#256 := (iff #174 #255) -#253 := (= #171 #252) -#250 := (= #168 #249) -#247 := (= #165 #246) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#248 := [monotonicity #232]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [quant-intro #257]: #259 +#329 := (if #39 #320 #328) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #329) +#332 := (forall (vars (?v0 Int) (?v1 Int)) #329) +#841 := (iff #332 #838) +#839 := (iff #329 #329) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#201 := (* -1::Int #195) +#289 := (if #273 #57 #201) +#292 := (if #38 0::Int #289) +#295 := (if #39 #35 #292) +#298 := (= #56 #295) +#301 := (forall (vars (?v0 Int) (?v1 Int)) #298) +#333 := (iff #301 #332) +#330 := (iff #298 #329) +#331 := [rewrite]: #330 +#334 := [quant-intro #331]: #333 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#221 := (if #176 #57 #201) +#224 := (if #38 0::Int #221) +#227 := (if #39 #35 #224) +#230 := (= #56 #227) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#302 := (iff #233 #301) +#299 := (iff #230 #298) +#296 := (= #227 #295) +#293 := (= #224 #292) +#290 := (= #221 #289) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#291 := [monotonicity #275]: #290 +#294 := [monotonicity #291]: #293 +#297 := [monotonicity #294]: #296 +#300 := [monotonicity #297]: #299 +#303 := [quant-intro #300]: #302 +#250 := (~ #233 #233) +#264 := (~ #230 #230) +#265 := [refl]: #264 +#251 := [nnf-pos #265]: #250 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -17455,183 +16181,194 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#178 := (iff #64 #177) -#175 := (iff #63 #174) -#172 := (= #62 #171) -#169 := (= #61 #168) -#166 := (= #60 #165) -#163 := (= #59 #160) -#157 := (- #154) -#161 := (= #157 #160) -#162 := [rewrite]: #161 -#158 := (= #59 #157) -#155 := (= #58 #154) -#136 := (= #49 #135) -#137 := [rewrite]: #136 -#133 := (= #48 #132) -#134 := [rewrite]: #133 -#156 := [monotonicity #134 #137]: #155 -#159 := [monotonicity #156]: #158 -#164 := [trans #159 #162]: #163 -#129 := (iff #46 #128) -#126 := (iff #45 #125) -#111 := (iff #42 #110) -#112 := [rewrite]: #111 -#118 := (iff #44 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #43 #113) -#107 := (iff #41 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#167 := [monotonicity #130 #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [quant-intro #176]: #178 -#71 := [asserted]: #64 -#180 := [mp #71 #179]: #177 -#261 := [mp #180 #260]: #258 -#284 := [mp~ #261 #283]: #258 -#324 := [mp #284 #323]: #321 -#355 := [mp #324 #354]: #352 -#802 := [mp #355 #801]: #797 -#662 := (not #797) -#663 := (or #662 #462) -#730 := (* -1::Int 1::Int) -#734 := (mod #730 #730) -#731 := (+ #11 #734) -#735 := (= #731 0::Int) -#454 := (mod 1::Int 1::Int) -#732 := (* -1::Int #454) -#733 := (+ #11 #732) -#448 := (= #733 0::Int) -#736 := (<= 1::Int 0::Int) -#741 := (>= 1::Int 0::Int) -#451 := (or #741 #736) -#452 := (not #451) -#740 := (or #736 #736) -#737 := (not #740) -#453 := (or #737 #452) -#724 := (if #453 #448 #735) -#739 := (= 1::Int 0::Int) -#725 := (if #739 #462 #724) -#461 := (= #11 1::Int) -#726 := (if #739 #461 #725) -#664 := (or #662 #726) -#655 := (iff #664 #663) -#644 := (iff #663 #663) -#645 := [rewrite]: #644 -#660 := (iff #726 #462) -#654 := (if false #461 #462) -#658 := (iff #654 #462) -#659 := [rewrite]: #658 -#656 := (iff #726 #654) -#673 := (iff #725 #462) -#668 := (if false #462 #462) -#672 := (iff #668 #462) -#669 := [rewrite]: #672 -#670 := (iff #725 #668) -#681 := (iff #724 #462) -#1 := true -#677 := (if true #462 #462) -#680 := (iff #677 #462) -#676 := [rewrite]: #680 -#678 := (iff #724 #677) -#674 := (iff #735 #462) -#683 := (= #731 #11) -#608 := (+ #11 0::Int) -#703 := (= #608 #11) -#700 := [rewrite]: #703 -#688 := (= #731 #608) -#686 := (= #734 0::Int) -#694 := (mod -1::Int -1::Int) -#692 := (= #694 0::Int) -#697 := [rewrite]: #692 -#695 := (= #734 #694) -#682 := (= #730 -1::Int) -#684 := [rewrite]: #682 -#696 := [monotonicity #684 #684]: #695 -#687 := [trans #696 #697]: #686 -#689 := [monotonicity #687]: #688 -#690 := [trans #689 #700]: #683 -#675 := [monotonicity #690]: #674 -#693 := (iff #448 #462) -#704 := (= #733 #11) -#609 := (= #733 #608) -#606 := (= #732 0::Int) -#587 := (* -1::Int 0::Int) -#605 := (= #587 0::Int) -#598 := [rewrite]: #605 -#602 := (= #732 #587) -#699 := (= #454 0::Int) -#702 := [rewrite]: #699 -#604 := [monotonicity #702]: #602 -#607 := [trans #604 #598]: #606 -#610 := [monotonicity #607]: #609 -#691 := [trans #610 #700]: #704 -#685 := [monotonicity #691]: #693 -#603 := (iff #453 true) -#551 := (or true false) -#706 := (iff #551 true) -#708 := [rewrite]: #706 -#553 := (iff #453 #551) -#593 := (iff #452 false) -#419 := (not true) -#744 := (iff #419 false) -#407 := [rewrite]: #744 -#710 := (iff #452 #419) -#709 := (iff #451 true) -#552 := (iff #451 #551) -#727 := (iff #736 false) -#728 := [rewrite]: #727 -#720 := (iff #741 true) -#549 := [rewrite]: #720 -#705 := [monotonicity #549 #728]: #552 -#707 := [trans #705 #708]: #709 -#592 := [monotonicity #707]: #710 -#594 := [trans #592 #407]: #593 -#719 := (iff #737 true) -#716 := (not false) -#712 := (iff #716 true) -#718 := [rewrite]: #712 -#717 := (iff #737 #716) -#714 := (iff #740 false) -#723 := (or false false) -#571 := (iff #723 false) -#572 := [rewrite]: #571 -#729 := (iff #740 #723) -#570 := [monotonicity #728 #728]: #729 -#715 := [trans #570 #572]: #714 -#711 := [monotonicity #715]: #717 -#713 := [trans #711 #718]: #719 -#701 := [monotonicity #713 #594]: #553 -#698 := [trans #701 #708]: #603 -#679 := [monotonicity #698 #685 #675]: #678 -#667 := [trans #679 #676]: #681 -#721 := (iff #739 false) -#722 := [rewrite]: #721 -#671 := [monotonicity #722 #667]: #670 -#653 := [trans #671 #669]: #673 -#657 := [monotonicity #722 #653]: #656 -#661 := [trans #657 #659]: #660 -#666 := [monotonicity #661]: #655 -#647 := [trans #666 #645]: #655 -#665 := [quant-inst #9 #9]: #664 -#648 := [mp #665 #647]: #663 -#650 := [unit-resolution #648 #802]: #462 -#651 := [monotonicity #650]: #15 +#236 := (iff #64 #233) +#206 := (if #46 #57 #201) +#209 := (if #38 0::Int #206) +#212 := (if #39 #35 #209) +#215 := (= #56 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#234 := (iff #218 #233) +#231 := (iff #215 #230) +#228 := (= #212 #227) +#225 := (= #209 #224) +#222 := (= #206 #221) +#177 := (iff #46 #176) +#174 := (iff #45 #173) +#164 := (iff #42 #163) +#165 := [rewrite]: #164 +#171 := (iff #44 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #43 #166) +#160 := (iff #41 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#223 := [monotonicity #178]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [quant-intro #232]: #234 +#219 := (iff #64 #218) +#216 := (iff #63 #215) +#213 := (= #62 #212) +#210 := (= #61 #209) +#207 := (= #60 #206) +#204 := (= #59 #201) +#198 := (- #195) +#202 := (= #198 #201) +#203 := [rewrite]: #202 +#199 := (= #59 #198) +#196 := (= #58 #195) +#141 := (= #49 #140) +#142 := [rewrite]: #141 +#138 := (= #48 #137) +#139 := [rewrite]: #138 +#197 := [monotonicity #139 #142]: #196 +#200 := [monotonicity #197]: #199 +#205 := [trans #200 #203]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#237 := [trans #220 #235]: #236 +#194 := [asserted]: #64 +#238 := [mp #194 #237]: #233 +#266 := [mp~ #238 #251]: #233 +#304 := [mp #266 #303]: #301 +#335 := [mp #304 #334]: #332 +#843 := [mp #335 #842]: #838 +#703 := (not #838) +#704 := (or #703 #503) +#771 := (* -1::Int 1::Int) +#775 := (mod #771 #771) +#772 := (+ #11 #775) +#776 := (= #772 0::Int) +#495 := (mod 1::Int 1::Int) +#773 := (* -1::Int #495) +#774 := (+ #11 #773) +#489 := (= #774 0::Int) +#777 := (<= 1::Int 0::Int) +#782 := (>= 1::Int 0::Int) +#492 := (or #782 #777) +#493 := (not #492) +#781 := (or #777 #777) +#778 := (not #781) +#494 := (or #778 #493) +#765 := (if #494 #489 #776) +#780 := (= 1::Int 0::Int) +#766 := (if #780 #503 #765) +#502 := (= #11 1::Int) +#767 := (if #780 #502 #766) +#705 := (or #703 #767) +#696 := (iff #705 #704) +#685 := (iff #704 #704) +#686 := [rewrite]: #685 +#701 := (iff #767 #503) +#695 := (if false #502 #503) +#699 := (iff #695 #503) +#700 := [rewrite]: #699 +#697 := (iff #767 #695) +#714 := (iff #766 #503) +#709 := (if false #503 #503) +#713 := (iff #709 #503) +#710 := [rewrite]: #713 +#711 := (iff #766 #709) +#722 := (iff #765 #503) +#1 := true +#718 := (if true #503 #503) +#721 := (iff #718 #503) +#717 := [rewrite]: #721 +#719 := (iff #765 #718) +#715 := (iff #776 #503) +#724 := (= #772 #11) +#649 := (+ #11 0::Int) +#744 := (= #649 #11) +#741 := [rewrite]: #744 +#729 := (= #772 #649) +#727 := (= #775 0::Int) +#735 := (mod -1::Int -1::Int) +#733 := (= #735 0::Int) +#738 := [rewrite]: #733 +#736 := (= #775 #735) +#723 := (= #771 -1::Int) +#725 := [rewrite]: #723 +#737 := [monotonicity #725 #725]: #736 +#728 := [trans #737 #738]: #727 +#730 := [monotonicity #728]: #729 +#731 := [trans #730 #741]: #724 +#716 := [monotonicity #731]: #715 +#734 := (iff #489 #503) +#745 := (= #774 #11) +#650 := (= #774 #649) +#647 := (= #773 0::Int) +#628 := (* -1::Int 0::Int) +#646 := (= #628 0::Int) +#639 := [rewrite]: #646 +#643 := (= #773 #628) +#740 := (= #495 0::Int) +#743 := [rewrite]: #740 +#645 := [monotonicity #743]: #643 +#648 := [trans #645 #639]: #647 +#651 := [monotonicity #648]: #650 +#732 := [trans #651 #741]: #745 +#726 := [monotonicity #732]: #734 +#644 := (iff #494 true) +#592 := (or true false) +#747 := (iff #592 true) +#749 := [rewrite]: #747 +#594 := (iff #494 #592) +#634 := (iff #493 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#751 := (iff #493 #460) +#750 := (iff #492 true) +#593 := (iff #492 #592) +#768 := (iff #777 false) +#769 := [rewrite]: #768 +#761 := (iff #782 true) +#590 := [rewrite]: #761 +#746 := [monotonicity #590 #769]: #593 +#748 := [trans #746 #749]: #750 +#633 := [monotonicity #748]: #751 +#635 := [trans #633 #448]: #634 +#760 := (iff #778 true) +#757 := (not false) +#753 := (iff #757 true) +#759 := [rewrite]: #753 +#758 := (iff #778 #757) +#755 := (iff #781 false) +#764 := (or false false) +#612 := (iff #764 false) +#613 := [rewrite]: #612 +#770 := (iff #781 #764) +#611 := [monotonicity #769 #769]: #770 +#756 := [trans #611 #613]: #755 +#752 := [monotonicity #756]: #758 +#754 := [trans #752 #759]: #760 +#742 := [monotonicity #754 #635]: #594 +#739 := [trans #742 #749]: #644 +#720 := [monotonicity #739 #726 #716]: #719 +#708 := [trans #720 #717]: #722 +#762 := (iff #780 false) +#763 := [rewrite]: #762 +#712 := [monotonicity #763 #708]: #711 +#694 := [trans #712 #710]: #714 +#698 := [monotonicity #763 #694]: #697 +#702 := [trans #698 #700]: #701 +#707 := [monotonicity #702]: #696 +#688 := [trans #707 #686]: #696 +#706 := [quant-inst #9 #9]: #705 +#689 := [mp #706 #688]: #704 +#691 := [unit-resolution #689 #843]: #503 +#692 := [monotonicity #691]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #651]: false -388588036303efc01fcf566cedf02a315f063404 322 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #692]: false +unsat +a614d34cd521f11124f03ffe353f27df43731180 306 0 #2 := false decl f3 :: (-> S2 Int S3) #14 := 0::Int @@ -17648,111 +16385,84 @@ #12 := (f5 #10 1::Int) #13 := (f3 f4 #12) #16 := (= #13 #15) -#737 := (= #12 0::Int) +#777 := (= #12 0::Int) #24 := (:var 0 Int) #36 := (:var 1 Int) #56 := (f6 f7 #36) #57 := (f5 #56 #24) -#797 := (pattern #57) -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #36) -#155 := (mod #133 #136) -#346 := (+ #57 #155) -#347 := (= #346 0::Int) +#837 := (pattern #57) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #36) +#196 := (mod #138 #141) +#326 := (+ #57 #196) +#327 := (= #326 0::Int) #58 := (mod #36 #24) -#343 := (* -1::Int #58) -#344 := (+ #57 #343) -#345 := (= #344 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #36 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #36 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#348 := (if #294 #345 #347) -#342 := (= #57 0::Int) +#323 := (* -1::Int #58) +#324 := (+ #57 #323) +#325 := (= #324 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #36 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #36 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#328 := (if #274 #325 #327) +#322 := (= #57 0::Int) #39 := (= #36 0::Int) -#349 := (if #39 #342 #348) -#341 := (= #57 #36) +#329 := (if #39 #322 #328) +#321 := (= #57 #36) #40 := (= #24 0::Int) -#350 := (if #40 #341 #349) -#798 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #797) #350) -#353 := (forall (vars (?v0 Int) (?v1 Int)) #350) -#801 := (iff #353 #798) -#799 := (iff #350 #350) -#800 := [refl]: #799 -#802 := [quant-intro #800]: #801 -#161 := (* -1::Int #155) -#310 := (if #294 #58 #161) -#313 := (if #39 0::Int #310) -#316 := (if #40 #36 #313) -#319 := (= #57 #316) -#322 := (forall (vars (?v0 Int) (?v1 Int)) #319) -#354 := (iff #322 #353) -#351 := (iff #319 #350) -#352 := [rewrite]: #351 -#355 := [quant-intro #352]: #354 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#247 := (if #231 #58 #161) -#250 := (if #39 0::Int #247) -#253 := (if #40 #36 #250) -#256 := (= #57 #253) -#259 := (forall (vars (?v0 Int) (?v1 Int)) #256) -#323 := (iff #259 #322) -#320 := (iff #256 #319) -#317 := (= #253 #316) -#314 := (= #250 #313) -#311 := (= #247 #310) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#312 := [monotonicity #296]: #311 -#315 := [monotonicity #312]: #314 -#318 := [monotonicity #315]: #317 -#321 := [monotonicity #318]: #320 -#324 := [quant-intro #321]: #323 -#283 := (~ #259 #259) -#281 := (~ #256 #256) -#282 := [refl]: #281 -#284 := [nnf-pos #282]: #283 -#117 := (<= 0::Int #36) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#166 := (if #129 #58 #161) -#169 := (if #39 0::Int #166) -#172 := (if #40 #36 #169) -#175 := (= #57 #172) -#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) -#260 := (iff #178 #259) -#257 := (iff #175 #256) -#254 := (= #172 #253) -#251 := (= #169 #250) -#248 := (= #166 #247) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#249 := [monotonicity #233]: #248 -#252 := [monotonicity #249]: #251 -#255 := [monotonicity #252]: #254 -#258 := [monotonicity #255]: #257 -#261 := [quant-intro #258]: #260 +#330 := (if #40 #321 #329) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #330) +#333 := (forall (vars (?v0 Int) (?v1 Int)) #330) +#841 := (iff #333 #838) +#839 := (iff #330 #330) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#202 := (* -1::Int #196) +#290 := (if #274 #58 #202) +#293 := (if #39 0::Int #290) +#296 := (if #40 #36 #293) +#299 := (= #57 #296) +#302 := (forall (vars (?v0 Int) (?v1 Int)) #299) +#334 := (iff #302 #333) +#331 := (iff #299 #330) +#332 := [rewrite]: #331 +#335 := [quant-intro #332]: #334 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#222 := (if #177 #58 #202) +#225 := (if #39 0::Int #222) +#228 := (if #40 #36 #225) +#231 := (= #57 #228) +#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) +#303 := (iff #234 #302) +#300 := (iff #231 #299) +#297 := (= #228 #296) +#294 := (= #225 #293) +#291 := (= #222 #290) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#292 := [monotonicity #276]: #291 +#295 := [monotonicity #292]: #294 +#298 := [monotonicity #295]: #297 +#301 := [monotonicity #298]: #300 +#304 := [quant-intro #301]: #303 +#251 := (~ #234 #234) +#265 := (~ #231 #231) +#266 := [refl]: #265 +#252 := [nnf-pos #266]: #251 #50 := (- #24) #49 := (- #36) #59 := (mod #49 #50) @@ -17768,193 +16478,204 @@ #63 := (if #40 #36 #62) #64 := (= #57 #63) #65 := (forall (vars (?v0 Int) (?v1 Int)) #64) -#179 := (iff #65 #178) -#176 := (iff #64 #175) -#173 := (= #63 #172) -#170 := (= #62 #169) -#167 := (= #61 #166) -#164 := (= #60 #161) -#158 := (- #155) -#162 := (= #158 #161) -#163 := [rewrite]: #162 -#159 := (= #60 #158) -#156 := (= #59 #155) -#137 := (= #50 #136) -#138 := [rewrite]: #137 -#134 := (= #49 #133) -#135 := [rewrite]: #134 -#157 := [monotonicity #135 #138]: #156 -#160 := [monotonicity #157]: #159 -#165 := [trans #160 #163]: #164 -#130 := (iff #47 #129) -#127 := (iff #46 #126) -#112 := (iff #43 #111) -#113 := [rewrite]: #112 -#119 := (iff #45 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #44 #114) -#108 := (iff #42 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#168 := [monotonicity #131 #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [quant-intro #177]: #179 -#72 := [asserted]: #65 -#181 := [mp #72 #180]: #178 -#262 := [mp #181 #261]: #259 -#285 := [mp~ #262 #284]: #259 -#325 := [mp #285 #324]: #322 -#356 := [mp #325 #355]: #353 -#803 := [mp #356 #802]: #798 -#650 := (not #798) -#651 := (or #650 #737) -#736 := (* -1::Int 1::Int) -#732 := (* -1::Int 3::Int) -#725 := (mod #732 #736) -#726 := (+ #12 #725) -#727 := (= #726 0::Int) -#734 := (mod 3::Int 1::Int) -#449 := (* -1::Int #734) -#731 := (+ #12 #449) -#735 := (= #731 0::Int) -#738 := (<= 1::Int 0::Int) -#453 := (>= 3::Int 0::Int) -#454 := (or #453 #738) -#455 := (not #454) -#741 := (<= 3::Int 0::Int) -#742 := (or #741 #738) -#452 := (not #742) -#733 := (or #452 #455) -#722 := (if #733 #735 #727) -#463 := (= 3::Int 0::Int) -#723 := (if #463 #737 #722) -#462 := (= #12 3::Int) -#740 := (= 1::Int 0::Int) -#728 := (if #740 #462 #723) -#652 := (or #650 #728) -#653 := (iff #652 #651) -#635 := (iff #651 #651) -#636 := [rewrite]: #635 -#648 := (iff #728 #737) -#666 := (if false #462 #737) -#645 := (iff #666 #737) -#646 := [rewrite]: #645 -#656 := (iff #728 #666) -#664 := (iff #723 #737) -#659 := (if false #737 #737) -#662 := (iff #659 #737) -#663 := [rewrite]: #662 -#660 := (iff #723 #659) -#657 := (iff #722 #737) -#1 := true -#673 := (if true #737 #737) -#654 := (iff #673 #737) -#655 := [rewrite]: #654 -#670 := (iff #722 #673) -#671 := (iff #727 #737) -#668 := (= #726 #12) -#694 := (+ #12 0::Int) -#685 := (= #694 #12) -#695 := [rewrite]: #685 -#677 := (= #726 #694) -#680 := (= #725 0::Int) -#687 := -3::Int -#691 := (mod -3::Int -1::Int) -#678 := (= #691 0::Int) -#679 := [rewrite]: #678 -#675 := (= #725 #691) -#690 := (= #736 -1::Int) -#684 := [rewrite]: #690 -#688 := (= #732 -3::Int) -#689 := [rewrite]: #688 -#676 := [monotonicity #689 #684]: #675 -#681 := [trans #676 #679]: #680 -#682 := [monotonicity #681]: #677 -#669 := [trans #682 #695]: #668 -#672 := [monotonicity #669]: #671 -#693 := (iff #735 #737) -#696 := (= #731 #12) -#686 := (= #731 #694) -#705 := (= #449 0::Int) -#609 := (* -1::Int 0::Int) -#704 := (= #609 0::Int) -#701 := [rewrite]: #704 -#610 := (= #449 #609) -#607 := (= #734 0::Int) -#608 := [rewrite]: #607 -#611 := [monotonicity #608]: #610 -#692 := [trans #611 #701]: #705 -#683 := [monotonicity #692]: #686 -#697 := [trans #683 #695]: #696 -#698 := [monotonicity #697]: #693 -#606 := (iff #733 true) -#711 := (or true false) -#595 := (iff #711 true) -#554 := [rewrite]: #595 -#603 := (iff #733 #711) -#703 := (iff #455 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#699 := (iff #455 #420) -#702 := (iff #454 true) -#593 := (iff #454 #711) -#715 := (iff #738 false) -#716 := [rewrite]: #715 -#710 := (iff #453 true) -#708 := [rewrite]: #710 -#594 := [monotonicity #708 #716]: #593 -#604 := [trans #594 #554]: #702 -#700 := [monotonicity #604]: #699 -#588 := [trans #700 #408]: #703 -#707 := (iff #452 true) -#721 := (not false) -#553 := (iff #721 true) -#706 := [rewrite]: #553 -#550 := (iff #452 #721) -#720 := (iff #742 false) -#717 := (or false false) -#713 := (iff #717 false) -#719 := [rewrite]: #713 -#718 := (iff #742 #717) -#572 := (iff #741 false) -#573 := [rewrite]: #572 -#712 := [monotonicity #573 #716]: #718 -#714 := [trans #712 #719]: #720 -#552 := [monotonicity #714]: #550 -#709 := [trans #552 #706]: #707 -#605 := [monotonicity #709 #588]: #603 -#599 := [trans #605 #554]: #606 -#674 := [monotonicity #599 #698 #672]: #670 -#658 := [trans #674 #655]: #657 -#730 := (iff #463 false) -#571 := [rewrite]: #730 -#661 := [monotonicity #571 #658]: #660 -#665 := [trans #661 #663]: #664 -#729 := (iff #740 false) -#724 := [rewrite]: #729 -#667 := [monotonicity #724 #665]: #656 -#649 := [trans #667 #646]: #648 -#639 := [monotonicity #649]: #653 -#637 := [trans #639 #636]: #653 -#647 := [quant-inst #9 #11]: #652 -#640 := [mp #647 #637]: #651 -#642 := [unit-resolution #640 #803]: #737 -#643 := [monotonicity #642]: #16 +#237 := (iff #65 #234) +#207 := (if #47 #58 #202) +#210 := (if #39 0::Int #207) +#213 := (if #40 #36 #210) +#216 := (= #57 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#235 := (iff #219 #234) +#232 := (iff #216 #231) +#229 := (= #213 #228) +#226 := (= #210 #225) +#223 := (= #207 #222) +#178 := (iff #47 #177) +#175 := (iff #46 #174) +#165 := (iff #43 #164) +#166 := [rewrite]: #165 +#172 := (iff #45 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #44 #167) +#161 := (iff #42 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#224 := [monotonicity #179]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [quant-intro #233]: #235 +#220 := (iff #65 #219) +#217 := (iff #64 #216) +#214 := (= #63 #213) +#211 := (= #62 #210) +#208 := (= #61 #207) +#205 := (= #60 #202) +#199 := (- #196) +#203 := (= #199 #202) +#204 := [rewrite]: #203 +#200 := (= #60 #199) +#197 := (= #59 #196) +#142 := (= #50 #141) +#143 := [rewrite]: #142 +#139 := (= #49 #138) +#140 := [rewrite]: #139 +#198 := [monotonicity #140 #143]: #197 +#201 := [monotonicity #198]: #200 +#206 := [trans #201 #204]: #205 +#209 := [monotonicity #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#238 := [trans #221 #236]: #237 +#195 := [asserted]: #65 +#239 := [mp #195 #238]: #234 +#267 := [mp~ #239 #252]: #234 +#305 := [mp #267 #304]: #302 +#336 := [mp #305 #335]: #333 +#843 := [mp #336 #842]: #838 +#690 := (not #838) +#691 := (or #690 #777) +#776 := (* -1::Int 1::Int) +#772 := (* -1::Int 3::Int) +#765 := (mod #772 #776) +#766 := (+ #12 #765) +#767 := (= #766 0::Int) +#774 := (mod 3::Int 1::Int) +#489 := (* -1::Int #774) +#771 := (+ #12 #489) +#775 := (= #771 0::Int) +#778 := (<= 1::Int 0::Int) +#493 := (>= 3::Int 0::Int) +#494 := (or #493 #778) +#495 := (not #494) +#781 := (<= 3::Int 0::Int) +#782 := (or #781 #778) +#492 := (not #782) +#773 := (or #492 #495) +#762 := (if #773 #775 #767) +#503 := (= 3::Int 0::Int) +#763 := (if #503 #777 #762) +#502 := (= #12 3::Int) +#780 := (= 1::Int 0::Int) +#768 := (if #780 #502 #763) +#692 := (or #690 #768) +#693 := (iff #692 #691) +#675 := (iff #691 #691) +#676 := [rewrite]: #675 +#688 := (iff #768 #777) +#706 := (if false #502 #777) +#685 := (iff #706 #777) +#686 := [rewrite]: #685 +#696 := (iff #768 #706) +#704 := (iff #763 #777) +#699 := (if false #777 #777) +#702 := (iff #699 #777) +#703 := [rewrite]: #702 +#700 := (iff #763 #699) +#697 := (iff #762 #777) +#1 := true +#713 := (if true #777 #777) +#694 := (iff #713 #777) +#695 := [rewrite]: #694 +#710 := (iff #762 #713) +#711 := (iff #767 #777) +#708 := (= #766 #12) +#734 := (+ #12 0::Int) +#725 := (= #734 #12) +#735 := [rewrite]: #725 +#717 := (= #766 #734) +#720 := (= #765 0::Int) +#727 := -3::Int +#731 := (mod -3::Int -1::Int) +#718 := (= #731 0::Int) +#719 := [rewrite]: #718 +#715 := (= #765 #731) +#730 := (= #776 -1::Int) +#724 := [rewrite]: #730 +#728 := (= #772 -3::Int) +#729 := [rewrite]: #728 +#716 := [monotonicity #729 #724]: #715 +#721 := [trans #716 #719]: #720 +#722 := [monotonicity #721]: #717 +#709 := [trans #722 #735]: #708 +#712 := [monotonicity #709]: #711 +#733 := (iff #775 #777) +#736 := (= #771 #12) +#726 := (= #771 #734) +#745 := (= #489 0::Int) +#649 := (* -1::Int 0::Int) +#744 := (= #649 0::Int) +#741 := [rewrite]: #744 +#650 := (= #489 #649) +#647 := (= #774 0::Int) +#648 := [rewrite]: #647 +#651 := [monotonicity #648]: #650 +#732 := [trans #651 #741]: #745 +#723 := [monotonicity #732]: #726 +#737 := [trans #723 #735]: #736 +#738 := [monotonicity #737]: #733 +#646 := (iff #773 true) +#751 := (or true false) +#635 := (iff #751 true) +#594 := [rewrite]: #635 +#643 := (iff #773 #751) +#743 := (iff #495 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#739 := (iff #495 #460) +#742 := (iff #494 true) +#633 := (iff #494 #751) +#755 := (iff #778 false) +#756 := [rewrite]: #755 +#750 := (iff #493 true) +#748 := [rewrite]: #750 +#634 := [monotonicity #748 #756]: #633 +#644 := [trans #634 #594]: #742 +#740 := [monotonicity #644]: #739 +#628 := [trans #740 #448]: #743 +#747 := (iff #492 true) +#761 := (not false) +#593 := (iff #761 true) +#746 := [rewrite]: #593 +#590 := (iff #492 #761) +#760 := (iff #782 false) +#757 := (or false false) +#753 := (iff #757 false) +#759 := [rewrite]: #753 +#758 := (iff #782 #757) +#612 := (iff #781 false) +#613 := [rewrite]: #612 +#752 := [monotonicity #613 #756]: #758 +#754 := [trans #752 #759]: #760 +#592 := [monotonicity #754]: #590 +#749 := [trans #592 #746]: #747 +#645 := [monotonicity #749 #628]: #643 +#639 := [trans #645 #594]: #646 +#714 := [monotonicity #639 #738 #712]: #710 +#698 := [trans #714 #695]: #697 +#770 := (iff #503 false) +#611 := [rewrite]: #770 +#701 := [monotonicity #611 #698]: #700 +#705 := [trans #701 #703]: #704 +#769 := (iff #780 false) +#764 := [rewrite]: #769 +#707 := [monotonicity #764 #705]: #696 +#689 := [trans #707 #686]: #688 +#679 := [monotonicity #689]: #693 +#677 := [trans #679 #676]: #693 +#687 := [quant-inst #9 #11]: #692 +#680 := [mp #687 #677]: #691 +#682 := [unit-resolution #680 #843]: #777 +#683 := [monotonicity #682]: #16 #17 := (not #16) -#67 := [asserted]: #17 -[unit-resolution #67 #643]: false -27d83ae74f367979c88ed057145dc22d3bf30f3d 325 0 -unsat +#85 := [asserted]: #17 +[unit-resolution #85 #683]: false +unsat +f29683011f680c62d56f5c3422022e33ef78fbc7 309 0 #2 := false #16 := 0::Int decl f8 :: (-> S6 S3 Int) @@ -17963,12 +16684,12 @@ decl f9 :: S6 #9 := f9 #11 := (f8 f9 f10) -#450 := (>= #11 0::Int) -#595 := (not #450) -#455 := (<= #11 0::Int) -#551 := (not #455) -#703 := (or #551 #595) -#667 := (not #703) +#491 := (>= #11 0::Int) +#636 := (not #491) +#496 := (<= #11 0::Int) +#592 := (not #496) +#744 := (or #592 #636) +#708 := (not #744) decl f5 :: (-> S4 Int Int) #13 := 1::Int decl f6 :: (-> S5 Int S4) @@ -17976,133 +16697,106 @@ #8 := f7 #12 := (f6 f7 #11) #14 := (f5 #12 1::Int) -#454 := (= #14 0::Int) -#648 := (not #454) +#495 := (= #14 0::Int) +#689 := (not #495) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #17 := (f3 f4 0::Int) #15 := (f3 f4 #14) #18 := (= #15 #17) -#364 := [hypothesis]: #454 -#740 := [monotonicity #364]: #18 +#598 := [hypothesis]: #495 +#629 := [monotonicity #598]: #18 #19 := (not #18) -#68 := [asserted]: #19 -#741 := [unit-resolution #68 #740]: false -#463 := [lemma #741]: #648 -#133 := -1::Int -#723 := (* -1::Int #11) -#696 := (mod #723 -1::Int) -#694 := (+ #14 #696) -#689 := (= #694 0::Int) -#685 := (if #703 #454 #689) -#453 := (= #11 0::Int) -#642 := (not #453) -#635 := (or #642 #454) -#677 := (if #453 #454 #685) +#86 := [asserted]: #19 +#631 := [unit-resolution #86 #629]: false +#633 := [lemma #631]: #689 +#138 := -1::Int +#764 := (* -1::Int #11) +#737 := (mod #764 -1::Int) +#735 := (+ #14 #737) +#730 := (= #735 0::Int) +#726 := (if #744 #495 #730) +#494 := (= #11 0::Int) +#683 := (not #494) +#676 := (or #683 #495) +#718 := (if #494 #495 #726) #25 := (:var 0 Int) #37 := (:var 1 Int) #57 := (f6 f7 #37) #58 := (f5 #57 #25) -#798 := (pattern #58) -#137 := (* -1::Int #25) -#134 := (* -1::Int #37) -#156 := (mod #134 #137) -#347 := (+ #58 #156) -#348 := (= #347 0::Int) +#839 := (pattern #58) +#142 := (* -1::Int #25) +#139 := (* -1::Int #37) +#197 := (mod #139 #142) +#327 := (+ #58 #197) +#328 := (= #327 0::Int) #59 := (mod #37 #25) -#344 := (* -1::Int #59) -#345 := (+ #58 #344) -#346 := (= #345 0::Int) -#111 := (<= #25 0::Int) -#223 := (>= #37 0::Int) -#291 := (or #223 #111) -#292 := (not #291) -#107 := (<= #37 0::Int) -#287 := (or #107 #111) -#288 := (not #287) -#295 := (or #288 #292) -#349 := (if #295 #346 #348) -#343 := (= #58 0::Int) +#324 := (* -1::Int #59) +#325 := (+ #58 #324) +#326 := (= #325 0::Int) +#164 := (<= #25 0::Int) +#171 := (>= #37 0::Int) +#271 := (or #171 #164) +#272 := (not #271) +#160 := (<= #37 0::Int) +#269 := (or #160 #164) +#270 := (not #269) +#275 := (or #270 #272) +#329 := (if #275 #326 #328) +#323 := (= #58 0::Int) #40 := (= #37 0::Int) -#350 := (if #40 #343 #349) -#342 := (= #58 #37) +#330 := (if #40 #323 #329) +#322 := (= #58 #37) #41 := (= #25 0::Int) -#351 := (if #41 #342 #350) -#799 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #798) #351) -#354 := (forall (vars (?v0 Int) (?v1 Int)) #351) -#802 := (iff #354 #799) -#800 := (iff #351 #351) -#801 := [refl]: #800 -#803 := [quant-intro #801]: #802 -#162 := (* -1::Int #156) -#311 := (if #295 #59 #162) -#314 := (if #40 0::Int #311) -#317 := (if #41 #37 #314) -#320 := (= #58 #317) -#323 := (forall (vars (?v0 Int) (?v1 Int)) #320) -#355 := (iff #323 #354) -#352 := (iff #320 #351) -#353 := [rewrite]: #352 -#356 := [quant-intro #353]: #355 -#112 := (not #111) -#226 := (not #223) -#229 := (and #226 #112) -#108 := (not #107) -#115 := (and #108 #112) -#232 := (or #115 #229) -#248 := (if #232 #59 #162) -#251 := (if #40 0::Int #248) -#254 := (if #41 #37 #251) -#257 := (= #58 #254) -#260 := (forall (vars (?v0 Int) (?v1 Int)) #257) -#324 := (iff #260 #323) -#321 := (iff #257 #320) -#318 := (= #254 #317) -#315 := (= #251 #314) -#312 := (= #248 #311) -#296 := (iff #232 #295) -#293 := (iff #229 #292) -#294 := [rewrite]: #293 -#289 := (iff #115 #288) -#290 := [rewrite]: #289 -#297 := [monotonicity #290 #294]: #296 -#313 := [monotonicity #297]: #312 -#316 := [monotonicity #313]: #315 -#319 := [monotonicity #316]: #318 -#322 := [monotonicity #319]: #321 -#325 := [quant-intro #322]: #324 -#284 := (~ #260 #260) -#282 := (~ #257 #257) -#283 := [refl]: #282 -#285 := [nnf-pos #283]: #284 -#118 := (<= 0::Int #37) -#119 := (not #118) -#127 := (and #119 #112) -#130 := (or #115 #127) -#167 := (if #130 #59 #162) -#170 := (if #40 0::Int #167) -#173 := (if #41 #37 #170) -#176 := (= #58 #173) -#179 := (forall (vars (?v0 Int) (?v1 Int)) #176) -#261 := (iff #179 #260) -#258 := (iff #176 #257) -#255 := (= #173 #254) -#252 := (= #170 #251) -#249 := (= #167 #248) -#233 := (iff #130 #232) -#230 := (iff #127 #229) -#227 := (iff #119 #226) -#224 := (iff #118 #223) -#225 := [rewrite]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#250 := [monotonicity #234]: #249 -#253 := [monotonicity #250]: #252 -#256 := [monotonicity #253]: #255 -#259 := [monotonicity #256]: #258 -#262 := [quant-intro #259]: #261 +#331 := (if #41 #322 #330) +#840 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #839) #331) +#334 := (forall (vars (?v0 Int) (?v1 Int)) #331) +#843 := (iff #334 #840) +#841 := (iff #331 #331) +#842 := [refl]: #841 +#844 := [quant-intro #842]: #843 +#203 := (* -1::Int #197) +#291 := (if #275 #59 #203) +#294 := (if #40 0::Int #291) +#297 := (if #41 #37 #294) +#300 := (= #58 #297) +#303 := (forall (vars (?v0 Int) (?v1 Int)) #300) +#335 := (iff #303 #334) +#332 := (iff #300 #331) +#333 := [rewrite]: #332 +#336 := [quant-intro #333]: #335 +#165 := (not #164) +#172 := (not #171) +#175 := (and #172 #165) +#161 := (not #160) +#168 := (and #161 #165) +#178 := (or #168 #175) +#223 := (if #178 #59 #203) +#226 := (if #40 0::Int #223) +#229 := (if #41 #37 #226) +#232 := (= #58 #229) +#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) +#304 := (iff #235 #303) +#301 := (iff #232 #300) +#298 := (= #229 #297) +#295 := (= #226 #294) +#292 := (= #223 #291) +#276 := (iff #178 #275) +#273 := (iff #175 #272) +#274 := [rewrite]: #273 +#254 := (iff #168 #270) +#255 := [rewrite]: #254 +#277 := [monotonicity #255 #274]: #276 +#293 := [monotonicity #277]: #292 +#296 := [monotonicity #293]: #295 +#299 := [monotonicity #296]: #298 +#302 := [monotonicity #299]: #301 +#305 := [quant-intro #302]: #304 +#252 := (~ #235 #235) +#266 := (~ #232 #232) +#267 := [refl]: #266 +#253 := [nnf-pos #267]: #252 #51 := (- #25) #50 := (- #37) #60 := (mod #50 #51) @@ -18118,169 +16812,180 @@ #64 := (if #41 #37 #63) #65 := (= #58 #64) #66 := (forall (vars (?v0 Int) (?v1 Int)) #65) -#180 := (iff #66 #179) -#177 := (iff #65 #176) -#174 := (= #64 #173) -#171 := (= #63 #170) -#168 := (= #62 #167) -#165 := (= #61 #162) -#159 := (- #156) -#163 := (= #159 #162) -#164 := [rewrite]: #163 -#160 := (= #61 #159) -#157 := (= #60 #156) -#138 := (= #51 #137) -#139 := [rewrite]: #138 -#135 := (= #50 #134) -#136 := [rewrite]: #135 -#158 := [monotonicity #136 #139]: #157 -#161 := [monotonicity #158]: #160 -#166 := [trans #161 #164]: #165 -#131 := (iff #48 #130) -#128 := (iff #47 #127) -#113 := (iff #44 #112) -#114 := [rewrite]: #113 -#120 := (iff #46 #119) -#124 := (iff #119 #119) -#122 := (iff #118 #118) -#123 := [rewrite]: #122 -#125 := [monotonicity #123]: #124 -#121 := [rewrite]: #120 -#126 := [trans #121 #125]: #120 -#129 := [monotonicity #126 #114]: #128 -#116 := (iff #45 #115) -#109 := (iff #43 #108) -#110 := [rewrite]: #109 -#117 := [monotonicity #110 #114]: #116 -#132 := [monotonicity #117 #129]: #131 -#169 := [monotonicity #132 #166]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [quant-intro #178]: #180 -#73 := [asserted]: #66 -#182 := [mp #73 #181]: #179 -#263 := [mp #182 #262]: #260 -#286 := [mp~ #263 #285]: #260 -#326 := [mp #286 #325]: #323 -#357 := [mp #326 #356]: #354 -#804 := [mp #357 #803]: #799 -#673 := (not #799) -#674 := (or #673 #677) -#724 := (* -1::Int 1::Int) -#729 := (mod #723 #724) -#730 := (+ #14 #729) -#725 := (= #730 0::Int) -#737 := (mod #11 1::Int) -#726 := (* -1::Int #737) -#727 := (+ #14 #726) -#728 := (= #727 0::Int) -#456 := (<= 1::Int 0::Int) -#732 := (or #450 #456) -#736 := (not #732) -#734 := (or #455 #456) -#735 := (not #734) -#733 := (or #735 #736) -#731 := (if #733 #728 #725) -#572 := (if #453 #454 #731) -#743 := (= #14 #11) -#739 := (= 1::Int 0::Int) -#573 := (if #739 #743 #572) -#671 := (or #673 #573) -#655 := (iff #671 #674) -#658 := (iff #674 #674) -#659 := [rewrite]: #658 -#670 := (iff #573 #677) -#681 := (if false #743 #677) -#683 := (iff #681 #677) -#669 := [rewrite]: #683 -#682 := (iff #573 #681) -#679 := (iff #572 #677) -#692 := (iff #731 #685) -#690 := (iff #725 #689) -#699 := (= #730 #694) -#697 := (= #729 #696) -#684 := (= #724 -1::Int) -#686 := [rewrite]: #684 -#698 := [monotonicity #686]: #697 -#688 := [monotonicity #698]: #699 -#691 := [monotonicity #688]: #690 -#695 := (iff #728 #454) -#706 := (= #727 #14) -#610 := (+ #14 0::Int) -#705 := (= #610 #14) -#702 := [rewrite]: #705 -#611 := (= #727 #610) -#608 := (= #726 0::Int) -#589 := (* -1::Int 0::Int) -#607 := (= #589 0::Int) -#600 := [rewrite]: #607 -#604 := (= #726 #589) -#701 := (= #737 0::Int) -#704 := [rewrite]: #701 -#606 := [monotonicity #704]: #604 -#609 := [trans #606 #600]: #608 -#612 := [monotonicity #609]: #611 -#693 := [trans #612 #702]: #706 -#687 := [monotonicity #693]: #695 -#605 := (iff #733 #703) -#596 := (iff #736 #595) -#712 := (iff #732 #450) -#707 := (or #450 false) -#711 := (iff #707 #450) -#709 := [rewrite]: #711 -#708 := (iff #732 #707) -#717 := (iff #456 false) -#718 := [rewrite]: #717 -#710 := [monotonicity #718]: #708 -#594 := [trans #710 #709]: #712 -#555 := [monotonicity #594]: #596 -#553 := (iff #735 #551) -#715 := (iff #734 #455) -#719 := (or #455 false) -#720 := (iff #719 #455) -#721 := [rewrite]: #720 -#713 := (iff #734 #719) -#714 := [monotonicity #718]: #713 -#722 := [trans #714 #721]: #715 -#554 := [monotonicity #722]: #553 -#700 := [monotonicity #554 #555]: #605 -#676 := [monotonicity #700 #687 #691]: #692 -#680 := [monotonicity #676]: #679 -#574 := (iff #739 false) -#716 := [rewrite]: #574 -#678 := [monotonicity #716 #680]: #682 -#672 := [trans #678 #669]: #670 -#656 := [monotonicity #672]: #655 -#660 := [trans #656 #659]: #655 -#675 := [quant-inst #11 #13]: #671 -#661 := [mp #675 #660]: #674 -#627 := [unit-resolution #661 #804]: #677 -#641 := (not #677) -#643 := (or #641 #642 #454) -#644 := [def-axiom]: #643 -#615 := [unit-resolution #644 #627]: #635 -#540 := [unit-resolution #615 #463]: #642 -#616 := (or #453 #685) -#639 := (or #641 #453 #685) -#645 := [def-axiom]: #639 -#597 := [unit-resolution #645 #627]: #616 -#541 := [unit-resolution #597 #540]: #685 -#649 := (not #685) -#650 := (or #649 #667 #454) -#651 := [def-axiom]: #650 -#543 := [unit-resolution #651 #541 #463]: #667 -#665 := (or #703 #450) -#666 := [def-axiom]: #665 -#544 := [unit-resolution #666 #543]: #450 -#663 := (or #703 #455) -#664 := [def-axiom]: #663 -#545 := [unit-resolution #664 #543]: #455 -#388 := (or #453 #551 #595) -#546 := [th-lemma arith triangle-eq]: #388 -[unit-resolution #546 #540 #545 #544]: false -33c9f7f66858ac0e41501cb38daaa8a8b9d12fcd 311 0 -unsat +#238 := (iff #66 #235) +#208 := (if #48 #59 #203) +#211 := (if #40 0::Int #208) +#214 := (if #41 #37 #211) +#217 := (= #58 #214) +#220 := (forall (vars (?v0 Int) (?v1 Int)) #217) +#236 := (iff #220 #235) +#233 := (iff #217 #232) +#230 := (= #214 #229) +#227 := (= #211 #226) +#224 := (= #208 #223) +#179 := (iff #48 #178) +#176 := (iff #47 #175) +#166 := (iff #44 #165) +#167 := [rewrite]: #166 +#173 := (iff #46 #172) +#174 := [rewrite]: #173 +#177 := [monotonicity #174 #167]: #176 +#169 := (iff #45 #168) +#162 := (iff #43 #161) +#163 := [rewrite]: #162 +#170 := [monotonicity #163 #167]: #169 +#180 := [monotonicity #170 #177]: #179 +#225 := [monotonicity #180]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [monotonicity #231]: #233 +#237 := [quant-intro #234]: #236 +#221 := (iff #66 #220) +#218 := (iff #65 #217) +#215 := (= #64 #214) +#212 := (= #63 #211) +#209 := (= #62 #208) +#206 := (= #61 #203) +#200 := (- #197) +#204 := (= #200 #203) +#205 := [rewrite]: #204 +#201 := (= #61 #200) +#198 := (= #60 #197) +#143 := (= #51 #142) +#144 := [rewrite]: #143 +#140 := (= #50 #139) +#141 := [rewrite]: #140 +#199 := [monotonicity #141 #144]: #198 +#202 := [monotonicity #199]: #201 +#207 := [trans #202 #205]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [monotonicity #216]: #218 +#222 := [quant-intro #219]: #221 +#239 := [trans #222 #237]: #238 +#196 := [asserted]: #66 +#240 := [mp #196 #239]: #235 +#268 := [mp~ #240 #253]: #235 +#306 := [mp #268 #305]: #303 +#337 := [mp #306 #336]: #334 +#845 := [mp #337 #844]: #840 +#714 := (not #840) +#715 := (or #714 #718) +#765 := (* -1::Int 1::Int) +#770 := (mod #764 #765) +#771 := (+ #14 #770) +#766 := (= #771 0::Int) +#778 := (mod #11 1::Int) +#767 := (* -1::Int #778) +#768 := (+ #14 #767) +#769 := (= #768 0::Int) +#497 := (<= 1::Int 0::Int) +#773 := (or #491 #497) +#777 := (not #773) +#775 := (or #496 #497) +#776 := (not #775) +#774 := (or #776 #777) +#772 := (if #774 #769 #766) +#613 := (if #494 #495 #772) +#784 := (= #14 #11) +#780 := (= 1::Int 0::Int) +#614 := (if #780 #784 #613) +#712 := (or #714 #614) +#696 := (iff #712 #715) +#699 := (iff #715 #715) +#700 := [rewrite]: #699 +#711 := (iff #614 #718) +#722 := (if false #784 #718) +#724 := (iff #722 #718) +#710 := [rewrite]: #724 +#723 := (iff #614 #722) +#720 := (iff #613 #718) +#733 := (iff #772 #726) +#731 := (iff #766 #730) +#740 := (= #771 #735) +#738 := (= #770 #737) +#725 := (= #765 -1::Int) +#727 := [rewrite]: #725 +#739 := [monotonicity #727]: #738 +#729 := [monotonicity #739]: #740 +#732 := [monotonicity #729]: #731 +#736 := (iff #769 #495) +#747 := (= #768 #14) +#651 := (+ #14 0::Int) +#746 := (= #651 #14) +#743 := [rewrite]: #746 +#652 := (= #768 #651) +#649 := (= #767 0::Int) +#630 := (* -1::Int 0::Int) +#648 := (= #630 0::Int) +#641 := [rewrite]: #648 +#645 := (= #767 #630) +#742 := (= #778 0::Int) +#745 := [rewrite]: #742 +#647 := [monotonicity #745]: #645 +#650 := [trans #647 #641]: #649 +#653 := [monotonicity #650]: #652 +#734 := [trans #653 #743]: #747 +#728 := [monotonicity #734]: #736 +#646 := (iff #774 #744) +#637 := (iff #777 #636) +#753 := (iff #773 #491) +#748 := (or #491 false) +#752 := (iff #748 #491) +#750 := [rewrite]: #752 +#749 := (iff #773 #748) +#758 := (iff #497 false) +#759 := [rewrite]: #758 +#751 := [monotonicity #759]: #749 +#635 := [trans #751 #750]: #753 +#596 := [monotonicity #635]: #637 +#594 := (iff #776 #592) +#756 := (iff #775 #496) +#760 := (or #496 false) +#761 := (iff #760 #496) +#762 := [rewrite]: #761 +#754 := (iff #775 #760) +#755 := [monotonicity #759]: #754 +#763 := [trans #755 #762]: #756 +#595 := [monotonicity #763]: #594 +#741 := [monotonicity #595 #596]: #646 +#717 := [monotonicity #741 #728 #732]: #733 +#721 := [monotonicity #717]: #720 +#615 := (iff #780 false) +#757 := [rewrite]: #615 +#719 := [monotonicity #757 #721]: #723 +#713 := [trans #719 #710]: #711 +#697 := [monotonicity #713]: #696 +#701 := [trans #697 #700]: #696 +#716 := [quant-inst #11 #13]: #712 +#702 := [mp #716 #701]: #715 +#668 := [unit-resolution #702 #845]: #718 +#682 := (not #718) +#684 := (or #682 #683 #495) +#685 := [def-axiom]: #684 +#656 := [unit-resolution #685 #668]: #676 +#583 := [unit-resolution #656 #633]: #683 +#657 := (or #494 #726) +#680 := (or #682 #494 #726) +#686 := [def-axiom]: #680 +#638 := [unit-resolution #686 #668]: #657 +#588 := [unit-resolution #638 #583]: #726 +#690 := (not #726) +#691 := (or #690 #708 #495) +#692 := [def-axiom]: #691 +#567 := [unit-resolution #692 #588 #633]: #708 +#706 := (or #744 #491) +#707 := [def-axiom]: #706 +#570 := [unit-resolution #707 #567]: #491 +#704 := (or #744 #496) +#705 := [def-axiom]: #704 +#574 := [unit-resolution #705 #567]: #496 +#576 := (or #494 #592 #636) +#577 := [th-lemma arith triangle-eq]: #576 +[unit-resolution #577 #583 #574 #570]: false +unsat +f5dee1de42c18302f6c788168a6801f729654264 295 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 0::Int @@ -18296,111 +17001,84 @@ #12 := (f5 #10 3::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#462 := (= #12 0::Int) +#502 := (= #12 0::Int) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f6 f7 #35) #56 := (f5 #55 #23) -#797 := (pattern #56) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #35) -#154 := (mod #132 #135) -#345 := (+ #56 #154) -#346 := (= #345 0::Int) +#837 := (pattern #56) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #35) +#195 := (mod #137 #140) +#325 := (+ #56 #195) +#326 := (= #325 0::Int) #57 := (mod #35 #23) -#342 := (* -1::Int #57) -#343 := (+ #56 #342) -#344 := (= #343 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #35 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #35 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#347 := (if #293 #344 #346) -#341 := (= #56 0::Int) +#322 := (* -1::Int #57) +#323 := (+ #56 #322) +#324 := (= #323 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #35 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #35 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#327 := (if #273 #324 #326) +#321 := (= #56 0::Int) #38 := (= #35 0::Int) -#348 := (if #38 #341 #347) -#340 := (= #56 #35) +#328 := (if #38 #321 #327) +#320 := (= #56 #35) #39 := (= #23 0::Int) -#349 := (if #39 #340 #348) -#798 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #797) #349) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#801 := (iff #352 #798) -#799 := (iff #349 #349) -#800 := [refl]: #799 -#802 := [quant-intro #800]: #801 -#160 := (* -1::Int #154) -#309 := (if #293 #57 #160) -#312 := (if #38 0::Int #309) -#315 := (if #39 #35 #312) -#318 := (= #56 #315) -#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) -#353 := (iff #321 #352) -#350 := (iff #318 #349) -#351 := [rewrite]: #350 -#354 := [quant-intro #351]: #353 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#246 := (if #230 #57 #160) -#249 := (if #38 0::Int #246) -#252 := (if #39 #35 #249) -#255 := (= #56 #252) -#258 := (forall (vars (?v0 Int) (?v1 Int)) #255) -#322 := (iff #258 #321) -#319 := (iff #255 #318) -#316 := (= #252 #315) -#313 := (= #249 #312) -#310 := (= #246 #309) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#311 := [monotonicity #295]: #310 -#314 := [monotonicity #311]: #313 -#317 := [monotonicity #314]: #316 -#320 := [monotonicity #317]: #319 -#323 := [quant-intro #320]: #322 -#282 := (~ #258 #258) -#280 := (~ #255 #255) -#281 := [refl]: #280 -#283 := [nnf-pos #281]: #282 -#116 := (<= 0::Int #35) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#165 := (if #128 #57 #160) -#168 := (if #38 0::Int #165) -#171 := (if #39 #35 #168) -#174 := (= #56 #171) -#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) -#259 := (iff #177 #258) -#256 := (iff #174 #255) -#253 := (= #171 #252) -#250 := (= #168 #249) -#247 := (= #165 #246) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#248 := [monotonicity #232]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [quant-intro #257]: #259 +#329 := (if #39 #320 #328) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #329) +#332 := (forall (vars (?v0 Int) (?v1 Int)) #329) +#841 := (iff #332 #838) +#839 := (iff #329 #329) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#201 := (* -1::Int #195) +#289 := (if #273 #57 #201) +#292 := (if #38 0::Int #289) +#295 := (if #39 #35 #292) +#298 := (= #56 #295) +#301 := (forall (vars (?v0 Int) (?v1 Int)) #298) +#333 := (iff #301 #332) +#330 := (iff #298 #329) +#331 := [rewrite]: #330 +#334 := [quant-intro #331]: #333 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#221 := (if #176 #57 #201) +#224 := (if #38 0::Int #221) +#227 := (if #39 #35 #224) +#230 := (= #56 #227) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#302 := (iff #233 #301) +#299 := (iff #230 #298) +#296 := (= #227 #295) +#293 := (= #224 #292) +#290 := (= #221 #289) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#291 := [monotonicity #275]: #290 +#294 := [monotonicity #291]: #293 +#297 := [monotonicity #294]: #296 +#300 := [monotonicity #297]: #299 +#303 := [quant-intro #300]: #302 +#250 := (~ #233 #233) +#264 := (~ #230 #230) +#265 := [refl]: #264 +#251 := [nnf-pos #265]: #250 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -18416,183 +17094,194 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#178 := (iff #64 #177) -#175 := (iff #63 #174) -#172 := (= #62 #171) -#169 := (= #61 #168) -#166 := (= #60 #165) -#163 := (= #59 #160) -#157 := (- #154) -#161 := (= #157 #160) -#162 := [rewrite]: #161 -#158 := (= #59 #157) -#155 := (= #58 #154) -#136 := (= #49 #135) -#137 := [rewrite]: #136 -#133 := (= #48 #132) -#134 := [rewrite]: #133 -#156 := [monotonicity #134 #137]: #155 -#159 := [monotonicity #156]: #158 -#164 := [trans #159 #162]: #163 -#129 := (iff #46 #128) -#126 := (iff #45 #125) -#111 := (iff #42 #110) -#112 := [rewrite]: #111 -#118 := (iff #44 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #43 #113) -#107 := (iff #41 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#167 := [monotonicity #130 #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [quant-intro #176]: #178 -#71 := [asserted]: #64 -#180 := [mp #71 #179]: #177 -#261 := [mp #180 #260]: #258 -#284 := [mp~ #261 #283]: #258 -#324 := [mp #284 #323]: #321 -#355 := [mp #324 #354]: #352 -#803 := [mp #355 #802]: #798 -#660 := (not #798) -#661 := (or #660 #462) -#735 := (* -1::Int 3::Int) -#731 := (* -1::Int 0::Int) -#732 := (mod #731 #735) -#736 := (+ #12 #732) -#725 := (= #736 0::Int) -#455 := (mod 0::Int 3::Int) -#733 := (* -1::Int #455) -#734 := (+ #12 #733) -#449 := (= #734 0::Int) -#741 := (<= 3::Int 0::Int) -#551 := (>= 0::Int 0::Int) -#452 := (or #551 #741) -#453 := (not #452) -#737 := (<= 0::Int 0::Int) -#738 := (or #737 #741) -#742 := (not #738) -#454 := (or #742 #453) -#726 := (if #454 #449 #725) -#463 := (= 0::Int 0::Int) -#727 := (if #463 #462 #726) -#740 := (= 3::Int 0::Int) -#722 := (if #740 #462 #727) -#662 := (or #660 #722) -#664 := (iff #662 #661) -#666 := (iff #661 #661) -#656 := [rewrite]: #666 -#658 := (iff #722 #462) -#678 := (if false #462 #462) -#681 := (iff #678 #462) -#677 := [rewrite]: #681 -#655 := (iff #722 #678) -#674 := (iff #727 #462) -#1 := true -#669 := (if true #462 #462) -#673 := (iff #669 #462) -#670 := [rewrite]: #673 -#671 := (iff #727 #669) -#682 := (iff #726 #462) -#679 := (iff #726 #678) -#675 := (iff #725 #462) -#684 := (= #736 #12) -#608 := (+ #12 0::Int) -#611 := (= #608 #12) -#704 := [rewrite]: #611 -#689 := (= #736 #608) -#687 := (= #732 0::Int) -#686 := -3::Int -#695 := (mod 0::Int -3::Int) -#693 := (= #695 0::Int) -#698 := [rewrite]: #693 -#696 := (= #732 #695) -#683 := (= #735 -3::Int) -#685 := [rewrite]: #683 -#605 := (= #731 0::Int) -#606 := [rewrite]: #605 -#697 := [monotonicity #606 #685]: #696 -#688 := [trans #697 #698]: #687 -#690 := [monotonicity #688]: #689 -#691 := [trans #690 #704]: #684 -#676 := [monotonicity #691]: #675 -#692 := (iff #449 #462) -#701 := (= #734 #12) -#609 := (= #734 #608) -#599 := (= #733 0::Int) -#588 := (= #733 #731) -#700 := (= #455 0::Int) -#703 := [rewrite]: #700 -#603 := [monotonicity #703]: #588 -#607 := [trans #603 #606]: #599 -#610 := [monotonicity #607]: #609 -#705 := [trans #610 #704]: #701 -#694 := [monotonicity #705]: #692 -#604 := (iff #454 false) -#593 := (or false false) -#554 := (iff #593 false) -#702 := [rewrite]: #554 -#594 := (iff #454 #593) -#708 := (iff #453 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#709 := (iff #453 #420) -#706 := (iff #452 true) -#715 := (or true false) -#718 := (iff #715 true) -#712 := [rewrite]: #718 -#552 := (iff #452 #715) -#572 := (iff #741 false) -#573 := [rewrite]: #572 -#424 := (iff #551 true) -#760 := [rewrite]: #424 -#553 := [monotonicity #760 #573]: #552 -#707 := [trans #553 #712]: #706 -#710 := [monotonicity #707]: #709 -#711 := [trans #710 #408]: #708 -#721 := (iff #742 false) -#720 := (iff #742 #420) -#713 := (iff #738 true) -#716 := (iff #738 #715) -#730 := (iff #737 true) -#571 := [rewrite]: #730 -#717 := [monotonicity #571 #573]: #716 -#719 := [trans #717 #712]: #713 -#714 := [monotonicity #719]: #720 -#550 := [trans #714 #408]: #721 -#595 := [monotonicity #550 #711]: #594 -#699 := [trans #595 #702]: #604 -#680 := [monotonicity #699 #694 #676]: #679 -#668 := [trans #680 #677]: #682 -#729 := (iff #463 true) -#724 := [rewrite]: #729 -#672 := [monotonicity #724 #668]: #671 -#654 := [trans #672 #670]: #674 -#723 := (iff #740 false) -#728 := [rewrite]: #723 -#657 := [monotonicity #728 #654]: #655 -#659 := [trans #657 #677]: #658 -#665 := [monotonicity #659]: #664 -#667 := [trans #665 #656]: #664 -#663 := [quant-inst #9 #11]: #662 -#645 := [mp #663 #667]: #661 -#648 := [unit-resolution #645 #803]: #462 -#649 := [monotonicity #648]: #15 +#236 := (iff #64 #233) +#206 := (if #46 #57 #201) +#209 := (if #38 0::Int #206) +#212 := (if #39 #35 #209) +#215 := (= #56 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#234 := (iff #218 #233) +#231 := (iff #215 #230) +#228 := (= #212 #227) +#225 := (= #209 #224) +#222 := (= #206 #221) +#177 := (iff #46 #176) +#174 := (iff #45 #173) +#164 := (iff #42 #163) +#165 := [rewrite]: #164 +#171 := (iff #44 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #43 #166) +#160 := (iff #41 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#223 := [monotonicity #178]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [quant-intro #232]: #234 +#219 := (iff #64 #218) +#216 := (iff #63 #215) +#213 := (= #62 #212) +#210 := (= #61 #209) +#207 := (= #60 #206) +#204 := (= #59 #201) +#198 := (- #195) +#202 := (= #198 #201) +#203 := [rewrite]: #202 +#199 := (= #59 #198) +#196 := (= #58 #195) +#141 := (= #49 #140) +#142 := [rewrite]: #141 +#138 := (= #48 #137) +#139 := [rewrite]: #138 +#197 := [monotonicity #139 #142]: #196 +#200 := [monotonicity #197]: #199 +#205 := [trans #200 #203]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#237 := [trans #220 #235]: #236 +#194 := [asserted]: #64 +#238 := [mp #194 #237]: #233 +#266 := [mp~ #238 #251]: #233 +#304 := [mp #266 #303]: #301 +#335 := [mp #304 #334]: #332 +#843 := [mp #335 #842]: #838 +#700 := (not #838) +#701 := (or #700 #502) +#775 := (* -1::Int 3::Int) +#771 := (* -1::Int 0::Int) +#772 := (mod #771 #775) +#776 := (+ #12 #772) +#765 := (= #776 0::Int) +#495 := (mod 0::Int 3::Int) +#773 := (* -1::Int #495) +#774 := (+ #12 #773) +#489 := (= #774 0::Int) +#781 := (<= 3::Int 0::Int) +#591 := (>= 0::Int 0::Int) +#492 := (or #591 #781) +#493 := (not #492) +#777 := (<= 0::Int 0::Int) +#778 := (or #777 #781) +#782 := (not #778) +#494 := (or #782 #493) +#766 := (if #494 #489 #765) +#503 := (= 0::Int 0::Int) +#767 := (if #503 #502 #766) +#780 := (= 3::Int 0::Int) +#762 := (if #780 #502 #767) +#702 := (or #700 #762) +#704 := (iff #702 #701) +#706 := (iff #701 #701) +#696 := [rewrite]: #706 +#698 := (iff #762 #502) +#718 := (if false #502 #502) +#721 := (iff #718 #502) +#717 := [rewrite]: #721 +#695 := (iff #762 #718) +#714 := (iff #767 #502) +#1 := true +#709 := (if true #502 #502) +#713 := (iff #709 #502) +#710 := [rewrite]: #713 +#711 := (iff #767 #709) +#722 := (iff #766 #502) +#719 := (iff #766 #718) +#715 := (iff #765 #502) +#724 := (= #776 #12) +#648 := (+ #12 0::Int) +#651 := (= #648 #12) +#744 := [rewrite]: #651 +#729 := (= #776 #648) +#727 := (= #772 0::Int) +#726 := -3::Int +#735 := (mod 0::Int -3::Int) +#733 := (= #735 0::Int) +#738 := [rewrite]: #733 +#736 := (= #772 #735) +#723 := (= #775 -3::Int) +#725 := [rewrite]: #723 +#645 := (= #771 0::Int) +#646 := [rewrite]: #645 +#737 := [monotonicity #646 #725]: #736 +#728 := [trans #737 #738]: #727 +#730 := [monotonicity #728]: #729 +#731 := [trans #730 #744]: #724 +#716 := [monotonicity #731]: #715 +#732 := (iff #489 #502) +#741 := (= #774 #12) +#649 := (= #774 #648) +#639 := (= #773 0::Int) +#628 := (= #773 #771) +#740 := (= #495 0::Int) +#743 := [rewrite]: #740 +#643 := [monotonicity #743]: #628 +#647 := [trans #643 #646]: #639 +#650 := [monotonicity #647]: #649 +#745 := [trans #650 #744]: #741 +#734 := [monotonicity #745]: #732 +#644 := (iff #494 false) +#633 := (or false false) +#594 := (iff #633 false) +#742 := [rewrite]: #594 +#634 := (iff #494 #633) +#748 := (iff #493 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#749 := (iff #493 #460) +#746 := (iff #492 true) +#755 := (or true false) +#758 := (iff #755 true) +#752 := [rewrite]: #758 +#592 := (iff #492 #755) +#612 := (iff #781 false) +#613 := [rewrite]: #612 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#593 := [monotonicity #800 #613]: #592 +#747 := [trans #593 #752]: #746 +#750 := [monotonicity #747]: #749 +#751 := [trans #750 #448]: #748 +#761 := (iff #782 false) +#760 := (iff #782 #460) +#753 := (iff #778 true) +#756 := (iff #778 #755) +#770 := (iff #777 true) +#611 := [rewrite]: #770 +#757 := [monotonicity #611 #613]: #756 +#759 := [trans #757 #752]: #753 +#754 := [monotonicity #759]: #760 +#590 := [trans #754 #448]: #761 +#635 := [monotonicity #590 #751]: #634 +#739 := [trans #635 #742]: #644 +#720 := [monotonicity #739 #734 #716]: #719 +#708 := [trans #720 #717]: #722 +#769 := (iff #503 true) +#764 := [rewrite]: #769 +#712 := [monotonicity #764 #708]: #711 +#694 := [trans #712 #710]: #714 +#763 := (iff #780 false) +#768 := [rewrite]: #763 +#697 := [monotonicity #768 #694]: #695 +#699 := [trans #697 #717]: #698 +#705 := [monotonicity #699]: #704 +#707 := [trans #705 #696]: #704 +#703 := [quant-inst #9 #11]: #702 +#685 := [mp #703 #707]: #701 +#688 := [unit-resolution #685 #843]: #502 +#689 := [monotonicity #688]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #649]: false -b6547dc3ec1930e52fec661a7dc0e7e45f2f11a0 337 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #689]: false +unsat +a2a3dbca7e9573eaa0bdadbb6bd04a2c290ad9e4 321 0 #2 := false decl f3 :: (-> S2 Int S3) #9 := 1::Int @@ -18608,112 +17297,85 @@ #12 := (f5 #10 3::Int) #13 := (f3 f4 #12) #15 := (= #13 #14) -#463 := (= #12 1::Int) +#503 := (= #12 1::Int) #24 := (:var 0 Int) #36 := (:var 1 Int) #56 := (f6 f7 #36) #57 := (f5 #56 #24) -#797 := (pattern #57) +#837 := (pattern #57) #23 := 0::Int -#132 := -1::Int -#136 := (* -1::Int #24) -#133 := (* -1::Int #36) -#155 := (mod #133 #136) -#346 := (+ #57 #155) -#347 := (= #346 0::Int) +#137 := -1::Int +#141 := (* -1::Int #24) +#138 := (* -1::Int #36) +#196 := (mod #138 #141) +#326 := (+ #57 #196) +#327 := (= #326 0::Int) #58 := (mod #36 #24) -#343 := (* -1::Int #58) -#344 := (+ #57 #343) -#345 := (= #344 0::Int) -#110 := (<= #24 0::Int) -#222 := (>= #36 0::Int) -#290 := (or #222 #110) -#291 := (not #290) -#106 := (<= #36 0::Int) -#286 := (or #106 #110) -#287 := (not #286) -#294 := (or #287 #291) -#348 := (if #294 #345 #347) -#342 := (= #57 0::Int) +#323 := (* -1::Int #58) +#324 := (+ #57 #323) +#325 := (= #324 0::Int) +#163 := (<= #24 0::Int) +#170 := (>= #36 0::Int) +#270 := (or #170 #163) +#271 := (not #270) +#159 := (<= #36 0::Int) +#268 := (or #159 #163) +#269 := (not #268) +#274 := (or #269 #271) +#328 := (if #274 #325 #327) +#322 := (= #57 0::Int) #39 := (= #36 0::Int) -#349 := (if #39 #342 #348) -#341 := (= #57 #36) +#329 := (if #39 #322 #328) +#321 := (= #57 #36) #40 := (= #24 0::Int) -#350 := (if #40 #341 #349) -#798 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #797) #350) -#353 := (forall (vars (?v0 Int) (?v1 Int)) #350) -#801 := (iff #353 #798) -#799 := (iff #350 #350) -#800 := [refl]: #799 -#802 := [quant-intro #800]: #801 -#161 := (* -1::Int #155) -#310 := (if #294 #58 #161) -#313 := (if #39 0::Int #310) -#316 := (if #40 #36 #313) -#319 := (= #57 #316) -#322 := (forall (vars (?v0 Int) (?v1 Int)) #319) -#354 := (iff #322 #353) -#351 := (iff #319 #350) -#352 := [rewrite]: #351 -#355 := [quant-intro #352]: #354 -#111 := (not #110) -#225 := (not #222) -#228 := (and #225 #111) -#107 := (not #106) -#114 := (and #107 #111) -#231 := (or #114 #228) -#247 := (if #231 #58 #161) -#250 := (if #39 0::Int #247) -#253 := (if #40 #36 #250) -#256 := (= #57 #253) -#259 := (forall (vars (?v0 Int) (?v1 Int)) #256) -#323 := (iff #259 #322) -#320 := (iff #256 #319) -#317 := (= #253 #316) -#314 := (= #250 #313) -#311 := (= #247 #310) -#295 := (iff #231 #294) -#292 := (iff #228 #291) -#293 := [rewrite]: #292 -#288 := (iff #114 #287) -#289 := [rewrite]: #288 -#296 := [monotonicity #289 #293]: #295 -#312 := [monotonicity #296]: #311 -#315 := [monotonicity #312]: #314 -#318 := [monotonicity #315]: #317 -#321 := [monotonicity #318]: #320 -#324 := [quant-intro #321]: #323 -#283 := (~ #259 #259) -#281 := (~ #256 #256) -#282 := [refl]: #281 -#284 := [nnf-pos #282]: #283 -#117 := (<= 0::Int #36) -#118 := (not #117) -#126 := (and #118 #111) -#129 := (or #114 #126) -#166 := (if #129 #58 #161) -#169 := (if #39 0::Int #166) -#172 := (if #40 #36 #169) -#175 := (= #57 #172) -#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) -#260 := (iff #178 #259) -#257 := (iff #175 #256) -#254 := (= #172 #253) -#251 := (= #169 #250) -#248 := (= #166 #247) -#232 := (iff #129 #231) -#229 := (iff #126 #228) -#226 := (iff #118 #225) -#223 := (iff #117 #222) -#224 := [rewrite]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#249 := [monotonicity #233]: #248 -#252 := [monotonicity #249]: #251 -#255 := [monotonicity #252]: #254 -#258 := [monotonicity #255]: #257 -#261 := [quant-intro #258]: #260 +#330 := (if #40 #321 #329) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #330) +#333 := (forall (vars (?v0 Int) (?v1 Int)) #330) +#841 := (iff #333 #838) +#839 := (iff #330 #330) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#202 := (* -1::Int #196) +#290 := (if #274 #58 #202) +#293 := (if #39 0::Int #290) +#296 := (if #40 #36 #293) +#299 := (= #57 #296) +#302 := (forall (vars (?v0 Int) (?v1 Int)) #299) +#334 := (iff #302 #333) +#331 := (iff #299 #330) +#332 := [rewrite]: #331 +#335 := [quant-intro #332]: #334 +#164 := (not #163) +#171 := (not #170) +#174 := (and #171 #164) +#160 := (not #159) +#167 := (and #160 #164) +#177 := (or #167 #174) +#222 := (if #177 #58 #202) +#225 := (if #39 0::Int #222) +#228 := (if #40 #36 #225) +#231 := (= #57 #228) +#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) +#303 := (iff #234 #302) +#300 := (iff #231 #299) +#297 := (= #228 #296) +#294 := (= #225 #293) +#291 := (= #222 #290) +#275 := (iff #177 #274) +#272 := (iff #174 #271) +#273 := [rewrite]: #272 +#253 := (iff #167 #269) +#254 := [rewrite]: #253 +#276 := [monotonicity #254 #273]: #275 +#292 := [monotonicity #276]: #291 +#295 := [monotonicity #292]: #294 +#298 := [monotonicity #295]: #297 +#301 := [monotonicity #298]: #300 +#304 := [quant-intro #301]: #303 +#251 := (~ #234 #234) +#265 := (~ #231 #231) +#266 := [refl]: #265 +#252 := [nnf-pos #266]: #251 #50 := (- #24) #49 := (- #36) #59 := (mod #49 #50) @@ -18729,208 +17391,219 @@ #63 := (if #40 #36 #62) #64 := (= #57 #63) #65 := (forall (vars (?v0 Int) (?v1 Int)) #64) -#179 := (iff #65 #178) -#176 := (iff #64 #175) -#173 := (= #63 #172) -#170 := (= #62 #169) -#167 := (= #61 #166) -#164 := (= #60 #161) -#158 := (- #155) -#162 := (= #158 #161) -#163 := [rewrite]: #162 -#159 := (= #60 #158) -#156 := (= #59 #155) -#137 := (= #50 #136) -#138 := [rewrite]: #137 -#134 := (= #49 #133) -#135 := [rewrite]: #134 -#157 := [monotonicity #135 #138]: #156 -#160 := [monotonicity #157]: #159 -#165 := [trans #160 #163]: #164 -#130 := (iff #47 #129) -#127 := (iff #46 #126) -#112 := (iff #43 #111) -#113 := [rewrite]: #112 -#119 := (iff #45 #118) -#123 := (iff #118 #118) -#121 := (iff #117 #117) -#122 := [rewrite]: #121 -#124 := [monotonicity #122]: #123 -#120 := [rewrite]: #119 -#125 := [trans #120 #124]: #119 -#128 := [monotonicity #125 #113]: #127 -#115 := (iff #44 #114) -#108 := (iff #42 #107) -#109 := [rewrite]: #108 -#116 := [monotonicity #109 #113]: #115 -#131 := [monotonicity #116 #128]: #130 -#168 := [monotonicity #131 #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [quant-intro #177]: #179 -#72 := [asserted]: #65 -#181 := [mp #72 #180]: #178 -#262 := [mp #181 #261]: #259 -#285 := [mp~ #262 #284]: #259 -#325 := [mp #285 #324]: #322 -#356 := [mp #325 #355]: #353 -#803 := [mp #356 #802]: #798 -#638 := (not #798) -#644 := (or #638 #463) -#736 := (* -1::Int 3::Int) -#732 := (* -1::Int 1::Int) -#725 := (mod #732 #736) -#726 := (+ #12 #725) -#727 := (= #726 0::Int) -#734 := (mod 1::Int 3::Int) -#449 := (* -1::Int #734) -#731 := (+ #12 #449) -#735 := (= #731 0::Int) -#742 := (<= 3::Int 0::Int) -#551 := (>= 1::Int 0::Int) -#454 := (or #551 #742) -#455 := (not #454) -#738 := (<= 1::Int 0::Int) -#452 := (or #738 #742) -#453 := (not #452) -#733 := (or #453 #455) -#722 := (if #733 #735 #727) -#741 := (= #12 0::Int) -#737 := (= 1::Int 0::Int) -#723 := (if #737 #741 #722) -#462 := (= 3::Int 0::Int) -#728 := (if #462 #463 #723) -#617 := (or #638 #728) -#619 := (iff #617 #644) -#623 := (iff #644 #644) -#624 := [rewrite]: #623 -#642 := (iff #728 #463) -#635 := (if false #463 #463) -#640 := (iff #635 #463) -#641 := [rewrite]: #640 -#636 := (iff #728 #635) -#653 := (iff #723 #463) -#649 := (if false #741 #463) -#652 := (iff #649 #463) -#647 := [rewrite]: #652 -#650 := (iff #723 #649) -#646 := (iff #722 #463) -#659 := -2::Int -#660 := (= #12 -2::Int) -#1 := true -#665 := (if true #463 #660) -#667 := (iff #665 #463) -#645 := [rewrite]: #667 -#666 := (iff #722 #665) -#663 := (iff #727 #660) -#679 := 2::Int -#672 := (+ 2::Int #12) -#655 := (= #672 0::Int) -#661 := (iff #655 #660) -#662 := [rewrite]: #661 -#657 := (iff #727 #655) -#674 := (= #726 #672) -#668 := (+ #12 2::Int) -#673 := (= #668 #672) -#670 := [rewrite]: #673 -#669 := (= #726 #668) -#677 := (= #725 2::Int) -#690 := -3::Int -#675 := (mod -1::Int -3::Int) -#680 := (= #675 2::Int) -#681 := [rewrite]: #680 -#676 := (= #725 #675) -#684 := (= #736 -3::Int) -#691 := [rewrite]: #684 -#609 := (= #732 -1::Int) -#610 := [rewrite]: #609 -#678 := [monotonicity #610 #691]: #676 -#682 := [trans #678 #681]: #677 -#671 := [monotonicity #682]: #669 -#654 := [trans #671 #670]: #674 -#658 := [monotonicity #654]: #657 -#664 := [trans #658 #662]: #663 -#688 := (iff #735 #463) -#694 := (+ -1::Int #12) -#696 := (= #694 0::Int) -#698 := (iff #696 #463) -#687 := [rewrite]: #698 -#697 := (iff #735 #696) -#685 := (= #731 #694) -#701 := (+ #12 -1::Int) -#686 := (= #701 #694) -#683 := [rewrite]: #686 -#705 := (= #731 #701) -#611 := (= #449 -1::Int) -#607 := (= #449 #732) -#606 := (= #734 1::Int) -#599 := [rewrite]: #606 -#608 := [monotonicity #599]: #607 -#704 := [trans #608 #610]: #611 -#692 := [monotonicity #704]: #705 -#695 := [trans #692 #683]: #685 -#693 := [monotonicity #695]: #697 -#689 := [trans #693 #687]: #688 -#603 := (iff #733 true) -#710 := (or true false) -#593 := (iff #710 true) -#594 := [rewrite]: #593 -#703 := (iff #733 #710) -#699 := (iff #455 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#702 := (iff #455 #420) -#595 := (iff #454 true) -#708 := (iff #454 #710) -#715 := (iff #742 false) -#716 := [rewrite]: #715 -#424 := (iff #551 true) -#760 := [rewrite]: #424 -#711 := [monotonicity #760 #716]: #708 -#554 := [trans #711 #594]: #595 -#604 := [monotonicity #554]: #702 -#700 := [trans #604 #408]: #699 -#707 := (iff #453 true) -#721 := (not false) -#553 := (iff #721 true) -#706 := [rewrite]: #553 -#550 := (iff #453 #721) -#720 := (iff #452 false) -#717 := (or false false) -#713 := (iff #717 false) -#719 := [rewrite]: #713 -#718 := (iff #452 #717) -#572 := (iff #738 false) -#573 := [rewrite]: #572 -#712 := [monotonicity #573 #716]: #718 -#714 := [trans #712 #719]: #720 -#552 := [monotonicity #714]: #550 -#709 := [trans #552 #706]: #707 -#588 := [monotonicity #709 #700]: #703 -#605 := [trans #588 #594]: #603 -#656 := [monotonicity #605 #689 #664]: #666 -#648 := [trans #656 #645]: #646 -#730 := (iff #737 false) -#571 := [rewrite]: #730 -#651 := [monotonicity #571 #648]: #650 -#639 := [trans #651 #647]: #653 -#729 := (iff #462 false) -#724 := [rewrite]: #729 -#637 := [monotonicity #724 #639]: #636 -#643 := [trans #637 #641]: #642 -#512 := [monotonicity #643]: #619 -#625 := [trans #512 #624]: #619 -#618 := [quant-inst #9 #11]: #617 -#630 := [mp #618 #625]: #644 -#628 := [unit-resolution #630 #803]: #463 -#631 := [monotonicity #628]: #15 +#237 := (iff #65 #234) +#207 := (if #47 #58 #202) +#210 := (if #39 0::Int #207) +#213 := (if #40 #36 #210) +#216 := (= #57 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#235 := (iff #219 #234) +#232 := (iff #216 #231) +#229 := (= #213 #228) +#226 := (= #210 #225) +#223 := (= #207 #222) +#178 := (iff #47 #177) +#175 := (iff #46 #174) +#165 := (iff #43 #164) +#166 := [rewrite]: #165 +#172 := (iff #45 #171) +#173 := [rewrite]: #172 +#176 := [monotonicity #173 #166]: #175 +#168 := (iff #44 #167) +#161 := (iff #42 #160) +#162 := [rewrite]: #161 +#169 := [monotonicity #162 #166]: #168 +#179 := [monotonicity #169 #176]: #178 +#224 := [monotonicity #179]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [quant-intro #233]: #235 +#220 := (iff #65 #219) +#217 := (iff #64 #216) +#214 := (= #63 #213) +#211 := (= #62 #210) +#208 := (= #61 #207) +#205 := (= #60 #202) +#199 := (- #196) +#203 := (= #199 #202) +#204 := [rewrite]: #203 +#200 := (= #60 #199) +#197 := (= #59 #196) +#142 := (= #50 #141) +#143 := [rewrite]: #142 +#139 := (= #49 #138) +#140 := [rewrite]: #139 +#198 := [monotonicity #140 #143]: #197 +#201 := [monotonicity #198]: #200 +#206 := [trans #201 #204]: #205 +#209 := [monotonicity #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#238 := [trans #221 #236]: #237 +#195 := [asserted]: #65 +#239 := [mp #195 #238]: #234 +#267 := [mp~ #239 #252]: #234 +#305 := [mp #267 #304]: #302 +#336 := [mp #305 #335]: #333 +#843 := [mp #336 #842]: #838 +#683 := (not #838) +#678 := (or #683 #503) +#776 := (* -1::Int 3::Int) +#772 := (* -1::Int 1::Int) +#765 := (mod #772 #776) +#766 := (+ #12 #765) +#767 := (= #766 0::Int) +#774 := (mod 1::Int 3::Int) +#489 := (* -1::Int #774) +#771 := (+ #12 #489) +#775 := (= #771 0::Int) +#782 := (<= 3::Int 0::Int) +#591 := (>= 1::Int 0::Int) +#494 := (or #591 #782) +#495 := (not #494) +#778 := (<= 1::Int 0::Int) +#492 := (or #778 #782) +#493 := (not #492) +#773 := (or #493 #495) +#762 := (if #773 #775 #767) +#781 := (= #12 0::Int) +#777 := (= 1::Int 0::Int) +#763 := (if #777 #781 #762) +#502 := (= 3::Int 0::Int) +#768 := (if #502 #503 #763) +#684 := (or #683 #768) +#658 := (iff #684 #678) +#552 := (iff #678 #678) +#663 := [rewrite]: #552 +#681 := (iff #768 #503) +#679 := (if false #503 #503) +#677 := (iff #679 #503) +#680 := [rewrite]: #677 +#675 := (iff #768 #679) +#687 := (iff #763 #503) +#688 := (if false #781 #503) +#691 := (iff #688 #503) +#692 := [rewrite]: #691 +#689 := (iff #763 #688) +#685 := (iff #762 #503) +#698 := -2::Int +#699 := (= #12 -2::Int) +#1 := true +#704 := (if true #503 #699) +#696 := (iff #704 #503) +#707 := [rewrite]: #696 +#705 := (iff #762 #704) +#702 := (iff #767 #699) +#357 := 2::Int +#711 := (+ 2::Int #12) +#694 := (= #711 0::Int) +#700 := (iff #694 #699) +#701 := [rewrite]: #700 +#695 := (iff #767 #694) +#710 := (= #766 #711) +#722 := (+ #12 2::Int) +#712 := (= #722 #711) +#713 := [rewrite]: #712 +#708 := (= #766 #722) +#721 := (= #765 2::Int) +#730 := -3::Int +#715 := (mod -1::Int -3::Int) +#719 := (= #715 2::Int) +#720 := [rewrite]: #719 +#716 := (= #765 #715) +#724 := (= #776 -3::Int) +#731 := [rewrite]: #724 +#649 := (= #772 -1::Int) +#650 := [rewrite]: #649 +#718 := [monotonicity #650 #731]: #716 +#717 := [trans #718 #720]: #721 +#709 := [monotonicity #717]: #708 +#714 := [trans #709 #713]: #710 +#697 := [monotonicity #714]: #695 +#703 := [trans #697 #701]: #702 +#728 := (iff #775 #503) +#734 := (+ -1::Int #12) +#736 := (= #734 0::Int) +#738 := (iff #736 #503) +#727 := [rewrite]: #738 +#737 := (iff #775 #736) +#725 := (= #771 #734) +#741 := (+ #12 -1::Int) +#726 := (= #741 #734) +#723 := [rewrite]: #726 +#745 := (= #771 #741) +#651 := (= #489 -1::Int) +#647 := (= #489 #772) +#646 := (= #774 1::Int) +#639 := [rewrite]: #646 +#648 := [monotonicity #639]: #647 +#744 := [trans #648 #650]: #651 +#732 := [monotonicity #744]: #745 +#735 := [trans #732 #723]: #725 +#733 := [monotonicity #735]: #737 +#729 := [trans #733 #727]: #728 +#643 := (iff #773 true) +#750 := (or true false) +#633 := (iff #750 true) +#634 := [rewrite]: #633 +#743 := (iff #773 #750) +#739 := (iff #495 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#742 := (iff #495 #460) +#635 := (iff #494 true) +#748 := (iff #494 #750) +#755 := (iff #782 false) +#756 := [rewrite]: #755 +#464 := (iff #591 true) +#800 := [rewrite]: #464 +#751 := [monotonicity #800 #756]: #748 +#594 := [trans #751 #634]: #635 +#644 := [monotonicity #594]: #742 +#740 := [trans #644 #448]: #739 +#747 := (iff #493 true) +#761 := (not false) +#593 := (iff #761 true) +#746 := [rewrite]: #593 +#590 := (iff #493 #761) +#760 := (iff #492 false) +#757 := (or false false) +#753 := (iff #757 false) +#759 := [rewrite]: #753 +#758 := (iff #492 #757) +#612 := (iff #778 false) +#613 := [rewrite]: #612 +#752 := [monotonicity #613 #756]: #758 +#754 := [trans #752 #759]: #760 +#592 := [monotonicity #754]: #590 +#749 := [trans #592 #746]: #747 +#628 := [monotonicity #749 #740]: #743 +#645 := [trans #628 #634]: #643 +#706 := [monotonicity #645 #729 #703]: #705 +#686 := [trans #706 #707]: #685 +#770 := (iff #777 false) +#611 := [rewrite]: #770 +#690 := [monotonicity #611 #686]: #689 +#693 := [trans #690 #692]: #687 +#769 := (iff #502 false) +#764 := [rewrite]: #769 +#676 := [monotonicity #764 #693]: #675 +#682 := [trans #676 #680]: #681 +#659 := [monotonicity #682]: #658 +#664 := [trans #659 #663]: #658 +#657 := [quant-inst #9 #11]: #684 +#665 := [mp #657 #664]: #678 +#667 := [unit-resolution #665 #843]: #503 +#668 := [monotonicity #667]: #15 #16 := (not #15) -#67 := [asserted]: #16 -[unit-resolution #67 #631]: false -5598c417fdf3bd603925adc251a35a82567199b0 312 0 -unsat +#85 := [asserted]: #16 +[unit-resolution #85 #668]: false +unsat +cc3d71be6ab4da3c4f7dfa56b53ad9595e6253f7 296 0 #2 := false decl f3 :: (-> S2 Int S3) #13 := 0::Int @@ -18946,111 +17619,84 @@ #11 := (f5 #10 3::Int) #12 := (f3 f4 #11) #15 := (= #12 #14) -#463 := (= #11 0::Int) +#503 := (= #11 0::Int) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f6 f7 #35) #56 := (f5 #55 #23) -#797 := (pattern #56) -#131 := -1::Int -#135 := (* -1::Int #23) -#132 := (* -1::Int #35) -#154 := (mod #132 #135) -#345 := (+ #56 #154) -#346 := (= #345 0::Int) +#837 := (pattern #56) +#136 := -1::Int +#140 := (* -1::Int #23) +#137 := (* -1::Int #35) +#195 := (mod #137 #140) +#325 := (+ #56 #195) +#326 := (= #325 0::Int) #57 := (mod #35 #23) -#342 := (* -1::Int #57) -#343 := (+ #56 #342) -#344 := (= #343 0::Int) -#109 := (<= #23 0::Int) -#221 := (>= #35 0::Int) -#289 := (or #221 #109) -#290 := (not #289) -#105 := (<= #35 0::Int) -#285 := (or #105 #109) -#286 := (not #285) -#293 := (or #286 #290) -#347 := (if #293 #344 #346) -#341 := (= #56 0::Int) +#322 := (* -1::Int #57) +#323 := (+ #56 #322) +#324 := (= #323 0::Int) +#162 := (<= #23 0::Int) +#169 := (>= #35 0::Int) +#269 := (or #169 #162) +#270 := (not #269) +#158 := (<= #35 0::Int) +#267 := (or #158 #162) +#268 := (not #267) +#273 := (or #268 #270) +#327 := (if #273 #324 #326) +#321 := (= #56 0::Int) #38 := (= #35 0::Int) -#348 := (if #38 #341 #347) -#340 := (= #56 #35) +#328 := (if #38 #321 #327) +#320 := (= #56 #35) #39 := (= #23 0::Int) -#349 := (if #39 #340 #348) -#798 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #797) #349) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#801 := (iff #352 #798) -#799 := (iff #349 #349) -#800 := [refl]: #799 -#802 := [quant-intro #800]: #801 -#160 := (* -1::Int #154) -#309 := (if #293 #57 #160) -#312 := (if #38 0::Int #309) -#315 := (if #39 #35 #312) -#318 := (= #56 #315) -#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) -#353 := (iff #321 #352) -#350 := (iff #318 #349) -#351 := [rewrite]: #350 -#354 := [quant-intro #351]: #353 -#110 := (not #109) -#224 := (not #221) -#227 := (and #224 #110) -#106 := (not #105) -#113 := (and #106 #110) -#230 := (or #113 #227) -#246 := (if #230 #57 #160) -#249 := (if #38 0::Int #246) -#252 := (if #39 #35 #249) -#255 := (= #56 #252) -#258 := (forall (vars (?v0 Int) (?v1 Int)) #255) -#322 := (iff #258 #321) -#319 := (iff #255 #318) -#316 := (= #252 #315) -#313 := (= #249 #312) -#310 := (= #246 #309) -#294 := (iff #230 #293) -#291 := (iff #227 #290) -#292 := [rewrite]: #291 -#287 := (iff #113 #286) -#288 := [rewrite]: #287 -#295 := [monotonicity #288 #292]: #294 -#311 := [monotonicity #295]: #310 -#314 := [monotonicity #311]: #313 -#317 := [monotonicity #314]: #316 -#320 := [monotonicity #317]: #319 -#323 := [quant-intro #320]: #322 -#282 := (~ #258 #258) -#280 := (~ #255 #255) -#281 := [refl]: #280 -#283 := [nnf-pos #281]: #282 -#116 := (<= 0::Int #35) -#117 := (not #116) -#125 := (and #117 #110) -#128 := (or #113 #125) -#165 := (if #128 #57 #160) -#168 := (if #38 0::Int #165) -#171 := (if #39 #35 #168) -#174 := (= #56 #171) -#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) -#259 := (iff #177 #258) -#256 := (iff #174 #255) -#253 := (= #171 #252) -#250 := (= #168 #249) -#247 := (= #165 #246) -#231 := (iff #128 #230) -#228 := (iff #125 #227) -#225 := (iff #117 #224) -#222 := (iff #116 #221) -#223 := [rewrite]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#248 := [monotonicity #232]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [quant-intro #257]: #259 +#329 := (if #39 #320 #328) +#838 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #837) #329) +#332 := (forall (vars (?v0 Int) (?v1 Int)) #329) +#841 := (iff #332 #838) +#839 := (iff #329 #329) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#201 := (* -1::Int #195) +#289 := (if #273 #57 #201) +#292 := (if #38 0::Int #289) +#295 := (if #39 #35 #292) +#298 := (= #56 #295) +#301 := (forall (vars (?v0 Int) (?v1 Int)) #298) +#333 := (iff #301 #332) +#330 := (iff #298 #329) +#331 := [rewrite]: #330 +#334 := [quant-intro #331]: #333 +#163 := (not #162) +#170 := (not #169) +#173 := (and #170 #163) +#159 := (not #158) +#166 := (and #159 #163) +#176 := (or #166 #173) +#221 := (if #176 #57 #201) +#224 := (if #38 0::Int #221) +#227 := (if #39 #35 #224) +#230 := (= #56 #227) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#302 := (iff #233 #301) +#299 := (iff #230 #298) +#296 := (= #227 #295) +#293 := (= #224 #292) +#290 := (= #221 #289) +#274 := (iff #176 #273) +#271 := (iff #173 #270) +#272 := [rewrite]: #271 +#252 := (iff #166 #268) +#253 := [rewrite]: #252 +#275 := [monotonicity #253 #272]: #274 +#291 := [monotonicity #275]: #290 +#294 := [monotonicity #291]: #293 +#297 := [monotonicity #294]: #296 +#300 := [monotonicity #297]: #299 +#303 := [quant-intro #300]: #302 +#250 := (~ #233 #233) +#264 := (~ #230 #230) +#265 := [refl]: #264 +#251 := [nnf-pos #265]: #250 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -19066,184 +17712,195 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#178 := (iff #64 #177) -#175 := (iff #63 #174) -#172 := (= #62 #171) -#169 := (= #61 #168) -#166 := (= #60 #165) -#163 := (= #59 #160) -#157 := (- #154) -#161 := (= #157 #160) -#162 := [rewrite]: #161 -#158 := (= #59 #157) -#155 := (= #58 #154) -#136 := (= #49 #135) -#137 := [rewrite]: #136 -#133 := (= #48 #132) -#134 := [rewrite]: #133 -#156 := [monotonicity #134 #137]: #155 -#159 := [monotonicity #156]: #158 -#164 := [trans #159 #162]: #163 -#129 := (iff #46 #128) -#126 := (iff #45 #125) -#111 := (iff #42 #110) -#112 := [rewrite]: #111 -#118 := (iff #44 #117) -#122 := (iff #117 #117) -#120 := (iff #116 #116) -#121 := [rewrite]: #120 -#123 := [monotonicity #121]: #122 -#119 := [rewrite]: #118 -#124 := [trans #119 #123]: #118 -#127 := [monotonicity #124 #112]: #126 -#114 := (iff #43 #113) -#107 := (iff #41 #106) -#108 := [rewrite]: #107 -#115 := [monotonicity #108 #112]: #114 -#130 := [monotonicity #115 #127]: #129 -#167 := [monotonicity #130 #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [quant-intro #176]: #178 -#71 := [asserted]: #64 -#180 := [mp #71 #179]: #177 -#261 := [mp #180 #260]: #258 -#284 := [mp~ #261 #283]: #258 -#324 := [mp #284 #323]: #321 -#355 := [mp #324 #354]: #352 -#803 := [mp #355 #802]: #798 -#664 := (not #798) -#665 := (or #664 #463) -#731 := (* -1::Int 3::Int) -#735 := (mod #731 #731) -#732 := (+ #11 #735) -#736 := (= #732 0::Int) -#455 := (mod 3::Int 3::Int) -#733 := (* -1::Int #455) -#734 := (+ #11 #733) -#449 := (= #734 0::Int) -#737 := (<= 3::Int 0::Int) -#742 := (>= 3::Int 0::Int) -#452 := (or #742 #737) -#453 := (not #452) -#741 := (or #737 #737) -#738 := (not #741) -#454 := (or #738 #453) -#725 := (if #454 #449 #736) -#740 := (= 3::Int 0::Int) -#726 := (if #740 #463 #725) -#462 := (= #11 3::Int) -#727 := (if #740 #462 #726) -#666 := (or #664 #727) -#667 := (iff #666 #665) -#646 := (iff #665 #665) -#648 := [rewrite]: #646 -#662 := (iff #727 #463) -#657 := (if false #462 #463) -#660 := (iff #657 #463) -#661 := [rewrite]: #660 -#658 := (iff #727 #657) -#654 := (iff #726 #463) -#671 := (if false #463 #463) -#670 := (iff #671 #463) -#674 := [rewrite]: #670 -#672 := (iff #726 #671) -#668 := (iff #725 #463) -#1 := true -#679 := (if true #463 #463) -#677 := (iff #679 #463) -#682 := [rewrite]: #677 -#680 := (iff #725 #679) -#676 := (iff #736 #463) -#691 := (= #732 #11) -#609 := (+ #11 0::Int) -#704 := (= #609 #11) -#701 := [rewrite]: #704 -#690 := (= #732 #609) -#688 := (= #735 0::Int) -#683 := -3::Int -#696 := (mod -3::Int -3::Int) -#698 := (= #696 0::Int) -#687 := [rewrite]: #698 -#697 := (= #735 #696) -#685 := (= #731 -3::Int) -#695 := [rewrite]: #685 -#693 := [monotonicity #695 #695]: #697 -#689 := [trans #693 #687]: #688 -#684 := [monotonicity #689]: #690 -#675 := [trans #684 #701]: #691 -#678 := [monotonicity #675]: #676 -#694 := (iff #449 #463) -#705 := (= #734 #11) -#610 := (= #734 #609) -#607 := (= #733 0::Int) -#588 := (* -1::Int 0::Int) -#606 := (= #588 0::Int) -#599 := [rewrite]: #606 -#603 := (= #733 #588) -#700 := (= #455 0::Int) -#703 := [rewrite]: #700 -#605 := [monotonicity #703]: #603 -#608 := [trans #605 #599]: #607 -#611 := [monotonicity #608]: #610 -#692 := [trans #611 #701]: #705 -#686 := [monotonicity #692]: #694 -#604 := (iff #454 true) -#552 := (or true false) -#707 := (iff #552 true) -#709 := [rewrite]: #707 -#554 := (iff #454 #552) -#594 := (iff #453 false) -#420 := (not true) -#745 := (iff #420 false) -#408 := [rewrite]: #745 -#711 := (iff #453 #420) -#710 := (iff #452 true) -#553 := (iff #452 #552) -#728 := (iff #737 false) -#729 := [rewrite]: #728 -#721 := (iff #742 true) -#550 := [rewrite]: #721 -#706 := [monotonicity #550 #729]: #553 -#708 := [trans #706 #709]: #710 -#593 := [monotonicity #708]: #711 -#595 := [trans #593 #408]: #594 -#720 := (iff #738 true) -#717 := (not false) -#713 := (iff #717 true) -#719 := [rewrite]: #713 -#718 := (iff #738 #717) -#715 := (iff #741 false) -#724 := (or false false) -#572 := (iff #724 false) -#573 := [rewrite]: #572 -#730 := (iff #741 #724) -#571 := [monotonicity #729 #729]: #730 -#716 := [trans #571 #573]: #715 -#712 := [monotonicity #716]: #718 -#714 := [trans #712 #719]: #720 -#702 := [monotonicity #714 #595]: #554 -#699 := [trans #702 #709]: #604 -#681 := [monotonicity #699 #686 #678]: #680 -#669 := [trans #681 #682]: #668 -#722 := (iff #740 false) -#723 := [rewrite]: #722 -#673 := [monotonicity #723 #669]: #672 -#655 := [trans #673 #674]: #654 -#659 := [monotonicity #723 #655]: #658 -#663 := [trans #659 #661]: #662 -#645 := [monotonicity #663]: #667 -#649 := [trans #645 #648]: #667 -#656 := [quant-inst #9 #9]: #666 -#650 := [mp #656 #649]: #665 -#652 := [unit-resolution #650 #803]: #463 -#647 := [monotonicity #652]: #15 +#236 := (iff #64 #233) +#206 := (if #46 #57 #201) +#209 := (if #38 0::Int #206) +#212 := (if #39 #35 #209) +#215 := (= #56 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#234 := (iff #218 #233) +#231 := (iff #215 #230) +#228 := (= #212 #227) +#225 := (= #209 #224) +#222 := (= #206 #221) +#177 := (iff #46 #176) +#174 := (iff #45 #173) +#164 := (iff #42 #163) +#165 := [rewrite]: #164 +#171 := (iff #44 #170) +#172 := [rewrite]: #171 +#175 := [monotonicity #172 #165]: #174 +#167 := (iff #43 #166) +#160 := (iff #41 #159) +#161 := [rewrite]: #160 +#168 := [monotonicity #161 #165]: #167 +#178 := [monotonicity #168 #175]: #177 +#223 := [monotonicity #178]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [quant-intro #232]: #234 +#219 := (iff #64 #218) +#216 := (iff #63 #215) +#213 := (= #62 #212) +#210 := (= #61 #209) +#207 := (= #60 #206) +#204 := (= #59 #201) +#198 := (- #195) +#202 := (= #198 #201) +#203 := [rewrite]: #202 +#199 := (= #59 #198) +#196 := (= #58 #195) +#141 := (= #49 #140) +#142 := [rewrite]: #141 +#138 := (= #48 #137) +#139 := [rewrite]: #138 +#197 := [monotonicity #139 #142]: #196 +#200 := [monotonicity #197]: #199 +#205 := [trans #200 #203]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#237 := [trans #220 #235]: #236 +#194 := [asserted]: #64 +#238 := [mp #194 #237]: #233 +#266 := [mp~ #238 #251]: #233 +#304 := [mp #266 #303]: #301 +#335 := [mp #304 #334]: #332 +#843 := [mp #335 #842]: #838 +#704 := (not #838) +#705 := (or #704 #503) +#771 := (* -1::Int 3::Int) +#775 := (mod #771 #771) +#772 := (+ #11 #775) +#776 := (= #772 0::Int) +#495 := (mod 3::Int 3::Int) +#773 := (* -1::Int #495) +#774 := (+ #11 #773) +#489 := (= #774 0::Int) +#777 := (<= 3::Int 0::Int) +#782 := (>= 3::Int 0::Int) +#492 := (or #782 #777) +#493 := (not #492) +#781 := (or #777 #777) +#778 := (not #781) +#494 := (or #778 #493) +#765 := (if #494 #489 #776) +#780 := (= 3::Int 0::Int) +#766 := (if #780 #503 #765) +#502 := (= #11 3::Int) +#767 := (if #780 #502 #766) +#706 := (or #704 #767) +#707 := (iff #706 #705) +#686 := (iff #705 #705) +#688 := [rewrite]: #686 +#702 := (iff #767 #503) +#697 := (if false #502 #503) +#700 := (iff #697 #503) +#701 := [rewrite]: #700 +#698 := (iff #767 #697) +#694 := (iff #766 #503) +#711 := (if false #503 #503) +#710 := (iff #711 #503) +#714 := [rewrite]: #710 +#712 := (iff #766 #711) +#708 := (iff #765 #503) +#1 := true +#719 := (if true #503 #503) +#717 := (iff #719 #503) +#722 := [rewrite]: #717 +#720 := (iff #765 #719) +#716 := (iff #776 #503) +#731 := (= #772 #11) +#649 := (+ #11 0::Int) +#744 := (= #649 #11) +#741 := [rewrite]: #744 +#730 := (= #772 #649) +#728 := (= #775 0::Int) +#723 := -3::Int +#736 := (mod -3::Int -3::Int) +#738 := (= #736 0::Int) +#727 := [rewrite]: #738 +#737 := (= #775 #736) +#725 := (= #771 -3::Int) +#735 := [rewrite]: #725 +#733 := [monotonicity #735 #735]: #737 +#729 := [trans #733 #727]: #728 +#724 := [monotonicity #729]: #730 +#715 := [trans #724 #741]: #731 +#718 := [monotonicity #715]: #716 +#734 := (iff #489 #503) +#745 := (= #774 #11) +#650 := (= #774 #649) +#647 := (= #773 0::Int) +#628 := (* -1::Int 0::Int) +#646 := (= #628 0::Int) +#639 := [rewrite]: #646 +#643 := (= #773 #628) +#740 := (= #495 0::Int) +#743 := [rewrite]: #740 +#645 := [monotonicity #743]: #643 +#648 := [trans #645 #639]: #647 +#651 := [monotonicity #648]: #650 +#732 := [trans #651 #741]: #745 +#726 := [monotonicity #732]: #734 +#644 := (iff #494 true) +#592 := (or true false) +#747 := (iff #592 true) +#749 := [rewrite]: #747 +#594 := (iff #494 #592) +#634 := (iff #493 false) +#460 := (not true) +#785 := (iff #460 false) +#448 := [rewrite]: #785 +#751 := (iff #493 #460) +#750 := (iff #492 true) +#593 := (iff #492 #592) +#768 := (iff #777 false) +#769 := [rewrite]: #768 +#761 := (iff #782 true) +#590 := [rewrite]: #761 +#746 := [monotonicity #590 #769]: #593 +#748 := [trans #746 #749]: #750 +#633 := [monotonicity #748]: #751 +#635 := [trans #633 #448]: #634 +#760 := (iff #778 true) +#757 := (not false) +#753 := (iff #757 true) +#759 := [rewrite]: #753 +#758 := (iff #778 #757) +#755 := (iff #781 false) +#764 := (or false false) +#612 := (iff #764 false) +#613 := [rewrite]: #612 +#770 := (iff #781 #764) +#611 := [monotonicity #769 #769]: #770 +#756 := [trans #611 #613]: #755 +#752 := [monotonicity #756]: #758 +#754 := [trans #752 #759]: #760 +#742 := [monotonicity #754 #635]: #594 +#739 := [trans #742 #749]: #644 +#721 := [monotonicity #739 #726 #718]: #720 +#709 := [trans #721 #722]: #708 +#762 := (iff #780 false) +#763 := [rewrite]: #762 +#713 := [monotonicity #763 #709]: #712 +#695 := [trans #713 #714]: #694 +#699 := [monotonicity #763 #695]: #698 +#703 := [trans #699 #701]: #702 +#685 := [monotonicity #703]: #707 +#689 := [trans #685 #688]: #707 +#696 := [quant-inst #9 #9]: #706 +#690 := [mp #696 #689]: #705 +#692 := [unit-resolution #690 #843]: #503 +#687 := [monotonicity #692]: #15 #16 := (not #15) -#66 := [asserted]: #16 -[unit-resolution #66 #647]: false -27ee577964e39eea43c2a96bf389faf26aa731a2 437 0 -unsat +#84 := [asserted]: #16 +[unit-resolution #84 #687]: false +unsat +1df07385907a71330f107e5e8097355bfe585e4f 407 0 #2 := false #12 := 3::Int decl f6 :: (-> S4 S5 Int) @@ -19252,143 +17909,116 @@ decl f7 :: S4 #8 := f7 #10 := (f6 f7 f8) -#454 := (mod #10 3::Int) -#669 := (>= #454 3::Int) -#670 := (not #669) -#1 := true -#215 := [true-axiom]: true -#661 := (or false #670) -#662 := [th-lemma arith]: #661 -#663 := [unit-resolution #662 #215]: #670 +#485 := (mod #10 3::Int) +#701 := (>= #485 3::Int) +#702 := (not #701) +#1 := true +#82 := [true-axiom]: true +#693 := (or false #702) +#694 := [th-lemma arith]: #693 +#695 := [unit-resolution #694 #82]: #702 #22 := 0::Int #148 := -1::Int -#786 := (* -1::Int #454) +#817 := (* -1::Int #485) decl f3 :: (-> S2 Int Int) decl f4 :: (-> S3 Int S2) decl f5 :: S3 #7 := f5 #11 := (f4 f5 #10) #13 := (f3 #11 3::Int) -#787 := (+ #13 #786) -#573 := (<= #787 0::Int) -#788 := (= #787 0::Int) -#490 := -3::Int -#789 := (* -1::Int #10) -#761 := (mod #789 -3::Int) -#758 := (+ #13 #761) -#763 := (= #758 0::Int) -#442 := (>= #10 0::Int) -#778 := (not #442) -#469 := (<= #10 0::Int) -#772 := (not #469) -#487 := (or #772 #778) -#475 := (if #487 #788 #763) -#465 := (= #13 0::Int) -#468 := (= #10 0::Int) -#755 := (if #468 #465 #475) +#818 := (+ #13 #817) +#604 := (<= #818 0::Int) +#819 := (= #818 0::Int) +#521 := -3::Int +#820 := (* -1::Int #10) +#792 := (mod #820 -3::Int) +#789 := (+ #13 #792) +#794 := (= #789 0::Int) +#473 := (>= #10 0::Int) +#809 := (not #473) +#500 := (<= #10 0::Int) +#803 := (not #500) +#518 := (or #803 #809) +#506 := (if #518 #819 #794) +#496 := (= #13 0::Int) +#499 := (= #10 0::Int) +#786 := (if #499 #496 #506) #23 := (:var 0 Int) #35 := (:var 1 Int) #55 := (f4 f5 #35) #56 := (f3 #55 #23) -#818 := (pattern #56) +#849 := (pattern #56) #152 := (* -1::Int #23) #149 := (* -1::Int #35) -#171 := (mod #149 #152) -#366 := (+ #56 #171) -#367 := (= #366 0::Int) +#207 := (mod #149 #152) +#337 := (+ #56 #207) +#338 := (= #337 0::Int) #57 := (mod #35 #23) -#363 := (* -1::Int #57) -#364 := (+ #56 #363) -#365 := (= #364 0::Int) -#126 := (<= #23 0::Int) -#242 := (>= #35 0::Int) -#310 := (or #242 #126) -#311 := (not #310) -#122 := (<= #35 0::Int) -#306 := (or #122 #126) -#307 := (not #306) -#314 := (or #307 #311) -#368 := (if #314 #365 #367) -#362 := (= #56 0::Int) +#334 := (* -1::Int #57) +#335 := (+ #56 #334) +#336 := (= #335 0::Int) +#174 := (<= #23 0::Int) +#181 := (>= #35 0::Int) +#281 := (or #181 #174) +#282 := (not #281) +#170 := (<= #35 0::Int) +#279 := (or #170 #174) +#280 := (not #279) +#285 := (or #280 #282) +#339 := (if #285 #336 #338) +#333 := (= #56 0::Int) #38 := (= #35 0::Int) -#369 := (if #38 #362 #368) -#361 := (= #56 #35) +#340 := (if #38 #333 #339) +#332 := (= #56 #35) #39 := (= #23 0::Int) -#370 := (if #39 #361 #369) -#819 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #818) #370) -#373 := (forall (vars (?v0 Int) (?v1 Int)) #370) -#822 := (iff #373 #819) -#820 := (iff #370 #370) -#821 := [refl]: #820 -#823 := [quant-intro #821]: #822 -#177 := (* -1::Int #171) -#330 := (if #314 #57 #177) -#333 := (if #38 0::Int #330) -#336 := (if #39 #35 #333) -#339 := (= #56 #336) -#342 := (forall (vars (?v0 Int) (?v1 Int)) #339) -#374 := (iff #342 #373) -#371 := (iff #339 #370) -#372 := [rewrite]: #371 -#375 := [quant-intro #372]: #374 -#127 := (not #126) -#245 := (not #242) -#248 := (and #245 #127) -#123 := (not #122) -#130 := (and #123 #127) -#251 := (or #130 #248) -#267 := (if #251 #57 #177) -#270 := (if #38 0::Int #267) -#273 := (if #39 #35 #270) -#276 := (= #56 #273) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#343 := (iff #279 #342) -#340 := (iff #276 #339) -#337 := (= #273 #336) -#334 := (= #270 #333) -#331 := (= #267 #330) -#315 := (iff #251 #314) -#312 := (iff #248 #311) -#313 := [rewrite]: #312 -#308 := (iff #130 #307) -#309 := [rewrite]: #308 -#316 := [monotonicity #309 #313]: #315 -#332 := [monotonicity #316]: #331 -#335 := [monotonicity #332]: #334 -#338 := [monotonicity #335]: #337 -#341 := [monotonicity #338]: #340 -#344 := [quant-intro #341]: #343 -#303 := (~ #279 #279) -#301 := (~ #276 #276) -#302 := [refl]: #301 -#304 := [nnf-pos #302]: #303 -#133 := (<= 0::Int #35) -#134 := (not #133) -#142 := (and #134 #127) -#145 := (or #130 #142) -#182 := (if #145 #57 #177) -#185 := (if #38 0::Int #182) -#188 := (if #39 #35 #185) -#191 := (= #56 #188) -#194 := (forall (vars (?v0 Int) (?v1 Int)) #191) -#280 := (iff #194 #279) -#277 := (iff #191 #276) -#274 := (= #188 #273) -#271 := (= #185 #270) -#268 := (= #182 #267) -#252 := (iff #145 #251) -#249 := (iff #142 #248) -#246 := (iff #134 #245) -#243 := (iff #133 #242) -#244 := [rewrite]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [monotonicity #250]: #252 -#269 := [monotonicity #253]: #268 -#272 := [monotonicity #269]: #271 -#275 := [monotonicity #272]: #274 -#278 := [monotonicity #275]: #277 -#281 := [quant-intro #278]: #280 +#341 := (if #39 #332 #340) +#850 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #849) #341) +#344 := (forall (vars (?v0 Int) (?v1 Int)) #341) +#853 := (iff #344 #850) +#851 := (iff #341 #341) +#852 := [refl]: #851 +#854 := [quant-intro #852]: #853 +#213 := (* -1::Int #207) +#301 := (if #285 #57 #213) +#304 := (if #38 0::Int #301) +#307 := (if #39 #35 #304) +#310 := (= #56 #307) +#313 := (forall (vars (?v0 Int) (?v1 Int)) #310) +#345 := (iff #313 #344) +#342 := (iff #310 #341) +#343 := [rewrite]: #342 +#346 := [quant-intro #343]: #345 +#175 := (not #174) +#182 := (not #181) +#185 := (and #182 #175) +#171 := (not #170) +#178 := (and #171 #175) +#188 := (or #178 #185) +#233 := (if #188 #57 #213) +#236 := (if #38 0::Int #233) +#239 := (if #39 #35 #236) +#242 := (= #56 #239) +#245 := (forall (vars (?v0 Int) (?v1 Int)) #242) +#314 := (iff #245 #313) +#311 := (iff #242 #310) +#308 := (= #239 #307) +#305 := (= #236 #304) +#302 := (= #233 #301) +#286 := (iff #188 #285) +#283 := (iff #185 #282) +#284 := [rewrite]: #283 +#264 := (iff #178 #280) +#265 := [rewrite]: #264 +#287 := [monotonicity #265 #284]: #286 +#303 := [monotonicity #287]: #302 +#306 := [monotonicity #303]: #305 +#309 := [monotonicity #306]: #308 +#312 := [monotonicity #309]: #311 +#315 := [quant-intro #312]: #314 +#262 := (~ #245 #245) +#276 := (~ #242 #242) +#277 := [refl]: #276 +#263 := [nnf-pos #277]: #262 #49 := (- #23) #48 := (- #35) #58 := (mod #48 #49) @@ -19404,284 +18034,281 @@ #62 := (if #39 #35 #61) #63 := (= #56 #62) #64 := (forall (vars (?v0 Int) (?v1 Int)) #63) -#195 := (iff #64 #194) -#192 := (iff #63 #191) -#189 := (= #62 #188) -#186 := (= #61 #185) -#183 := (= #60 #182) -#180 := (= #59 #177) -#174 := (- #171) -#178 := (= #174 #177) -#179 := [rewrite]: #178 -#175 := (= #59 #174) -#172 := (= #58 #171) +#248 := (iff #64 #245) +#218 := (if #46 #57 #213) +#221 := (if #38 0::Int #218) +#224 := (if #39 #35 #221) +#227 := (= #56 #224) +#230 := (forall (vars (?v0 Int) (?v1 Int)) #227) +#246 := (iff #230 #245) +#243 := (iff #227 #242) +#240 := (= #224 #239) +#237 := (= #221 #236) +#234 := (= #218 #233) +#189 := (iff #46 #188) +#186 := (iff #45 #185) +#176 := (iff #42 #175) +#177 := [rewrite]: #176 +#183 := (iff #44 #182) +#184 := [rewrite]: #183 +#187 := [monotonicity #184 #177]: #186 +#179 := (iff #43 #178) +#172 := (iff #41 #171) +#173 := [rewrite]: #172 +#180 := [monotonicity #173 #177]: #179 +#190 := [monotonicity #180 #187]: #189 +#235 := [monotonicity #190]: #234 +#238 := [monotonicity #235]: #237 +#241 := [monotonicity #238]: #240 +#244 := [monotonicity #241]: #243 +#247 := [quant-intro #244]: #246 +#231 := (iff #64 #230) +#228 := (iff #63 #227) +#225 := (= #62 #224) +#222 := (= #61 #221) +#219 := (= #60 #218) +#216 := (= #59 #213) +#210 := (- #207) +#214 := (= #210 #213) +#215 := [rewrite]: #214 +#211 := (= #59 #210) +#208 := (= #58 #207) #153 := (= #49 #152) #154 := [rewrite]: #153 #150 := (= #48 #149) #151 := [rewrite]: #150 -#173 := [monotonicity #151 #154]: #172 -#176 := [monotonicity #173]: #175 -#181 := [trans #176 #179]: #180 -#146 := (iff #46 #145) -#143 := (iff #45 #142) -#128 := (iff #42 #127) -#129 := [rewrite]: #128 -#135 := (iff #44 #134) -#139 := (iff #134 #134) -#137 := (iff #133 #133) -#138 := [rewrite]: #137 -#140 := [monotonicity #138]: #139 -#136 := [rewrite]: #135 -#141 := [trans #136 #140]: #135 -#144 := [monotonicity #141 #129]: #143 -#131 := (iff #43 #130) -#124 := (iff #41 #123) -#125 := [rewrite]: #124 -#132 := [monotonicity #125 #129]: #131 -#147 := [monotonicity #132 #144]: #146 -#184 := [monotonicity #147 #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [monotonicity #187]: #189 -#193 := [monotonicity #190]: #192 -#196 := [quant-intro #193]: #195 -#71 := [asserted]: #64 -#197 := [mp #71 #196]: #194 -#282 := [mp #197 #281]: #279 -#305 := [mp~ #282 #304]: #279 -#345 := [mp #305 #344]: #342 -#376 := [mp #345 #375]: #373 -#824 := [mp #376 #823]: #819 -#744 := (not #819) -#749 := (or #744 #755) -#784 := (* -1::Int 3::Int) -#790 := (mod #789 #784) -#780 := (+ #13 #790) -#440 := (= #780 0::Int) -#448 := (<= 3::Int 0::Int) -#572 := (or #442 #448) -#779 := (not #572) -#783 := (or #469 #448) -#785 := (not #783) -#453 := (or #785 #779) -#445 := (if #453 #788 #440) -#781 := (if #468 #465 #445) -#464 := (= #13 #10) -#463 := (= 3::Int 0::Int) -#441 := (if #463 #464 #781) -#750 := (or #744 #441) -#751 := (iff #750 #749) -#593 := (iff #749 #749) -#594 := [rewrite]: #593 -#748 := (iff #441 #755) -#756 := (if false #464 #755) -#746 := (iff #756 #755) -#747 := [rewrite]: #746 -#753 := (iff #441 #756) -#470 := (iff #781 #755) -#476 := (iff #445 #475) -#473 := (iff #440 #763) -#762 := (= #780 #758) -#483 := (= #790 #761) -#383 := (= #784 -3::Int) -#760 := [rewrite]: #383 -#484 := [monotonicity #760]: #483 -#759 := [monotonicity #484]: #762 -#474 := [monotonicity #759]: #473 -#488 := (iff #453 #487) -#764 := (iff #779 #778) -#777 := (iff #572 #442) -#411 := (or #442 false) -#416 := (iff #411 #442) -#417 := [rewrite]: #416 -#774 := (iff #572 #411) -#766 := (iff #448 false) -#429 := [rewrite]: #766 -#776 := [monotonicity #429]: #774 -#775 := [trans #776 #417]: #777 -#765 := [monotonicity #775]: #764 -#767 := (iff #785 #772) -#770 := (iff #783 #469) -#430 := (or #469 false) -#768 := (iff #430 #469) -#769 := [rewrite]: #768 -#431 := (iff #783 #430) -#432 := [monotonicity #429]: #431 -#771 := [trans #432 #769]: #770 -#773 := [monotonicity #771]: #767 -#489 := [monotonicity #773 #765]: #488 -#754 := [monotonicity #489 #474]: #476 -#752 := [monotonicity #754]: #470 -#782 := (iff #463 false) -#425 := [rewrite]: #782 -#757 := [monotonicity #425 #752]: #753 -#743 := [trans #757 #747]: #748 -#592 := [monotonicity #743]: #751 -#736 := [trans #592 #594]: #751 -#745 := [quant-inst #10 #12]: #750 -#737 := [mp #745 #736]: #749 -#664 := [unit-resolution #737 #824]: #755 -#724 := (not #468) -#721 := (not #755) -#646 := (or #721 #724) -#620 := (not #465) -#738 := (<= #13 0::Int) -#659 := (not #738) -#218 := (>= #13 3::Int) -#75 := (<= 3::Int #13) -#217 := (iff #75 #218) -#219 := [rewrite]: #217 +#209 := [monotonicity #151 #154]: #208 +#212 := [monotonicity #209]: #211 +#217 := [trans #212 #215]: #216 +#220 := [monotonicity #217]: #219 +#223 := [monotonicity #220]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [quant-intro #229]: #231 +#249 := [trans #232 #247]: #248 +#206 := [asserted]: #64 +#250 := [mp #206 #249]: #245 +#278 := [mp~ #250 #263]: #245 +#316 := [mp #278 #315]: #313 +#347 := [mp #316 #346]: #344 +#855 := [mp #347 #854]: #850 +#775 := (not #850) +#780 := (or #775 #786) +#815 := (* -1::Int 3::Int) +#821 := (mod #820 #815) +#811 := (+ #13 #821) +#471 := (= #811 0::Int) +#479 := (<= 3::Int 0::Int) +#603 := (or #473 #479) +#810 := (not #603) +#814 := (or #500 #479) +#816 := (not #814) +#484 := (or #816 #810) +#476 := (if #484 #819 #471) +#812 := (if #499 #496 #476) +#495 := (= #13 #10) +#494 := (= 3::Int 0::Int) +#472 := (if #494 #495 #812) +#781 := (or #775 #472) +#782 := (iff #781 #780) +#624 := (iff #780 #780) +#625 := [rewrite]: #624 +#779 := (iff #472 #786) +#787 := (if false #495 #786) +#777 := (iff #787 #786) +#778 := [rewrite]: #777 +#784 := (iff #472 #787) +#501 := (iff #812 #786) +#507 := (iff #476 #506) +#504 := (iff #471 #794) +#793 := (= #811 #789) +#514 := (= #821 #792) +#415 := (= #815 -3::Int) +#791 := [rewrite]: #415 +#515 := [monotonicity #791]: #514 +#790 := [monotonicity #515]: #793 +#505 := [monotonicity #790]: #504 +#519 := (iff #484 #518) +#795 := (iff #810 #809) +#808 := (iff #603 #473) +#442 := (or #473 false) +#447 := (iff #442 #473) +#448 := [rewrite]: #447 +#805 := (iff #603 #442) +#797 := (iff #479 false) +#460 := [rewrite]: #797 +#807 := [monotonicity #460]: #805 +#806 := [trans #807 #448]: #808 +#796 := [monotonicity #806]: #795 +#798 := (iff #816 #803) +#801 := (iff #814 #500) +#461 := (or #500 false) +#799 := (iff #461 #500) +#800 := [rewrite]: #799 +#462 := (iff #814 #461) +#463 := [monotonicity #460]: #462 +#802 := [trans #463 #800]: #801 +#804 := [monotonicity #802]: #798 +#520 := [monotonicity #804 #796]: #519 +#785 := [monotonicity #520 #505]: #507 +#783 := [monotonicity #785]: #501 +#813 := (iff #494 false) +#456 := [rewrite]: #813 +#788 := [monotonicity #456 #783]: #784 +#774 := [trans #788 #778]: #779 +#623 := [monotonicity #774]: #782 +#767 := [trans #623 #625]: #782 +#776 := [quant-inst #10 #12]: #781 +#768 := [mp #776 #767]: #780 +#690 := [unit-resolution #768 #855]: #786 +#755 := (not #499) +#752 := (not #786) +#677 := (or #752 #755) +#651 := (not #496) +#769 := (<= #13 0::Int) +#696 := (not #769) +#89 := (>= #13 3::Int) #14 := (< #13 3::Int) #15 := (not #14) -#89 := (iff #15 #75) -#76 := (not #75) -#84 := (not #76) -#87 := (iff #84 #75) -#88 := [rewrite]: #87 -#85 := (iff #15 #84) -#77 := (iff #14 #76) -#81 := (iff #76 #76) -#79 := (iff #75 #75) -#80 := [rewrite]: #79 -#82 := [monotonicity #80]: #81 -#78 := [rewrite]: #77 -#83 := [trans #78 #82]: #77 -#86 := [monotonicity #83]: #85 -#90 := [trans #86 #88]: #89 -#66 := [asserted]: #15 -#91 := [mp #66 #90]: #75 -#220 := [mp #91 #219]: #218 -#665 := (not #218) -#638 := (or #659 #665) -#639 := [th-lemma arith farkas 1 1]: #638 -#640 := [unit-resolution #639 #220]: #659 -#533 := (or #620 #738) -#644 := [th-lemma arith triangle-eq]: #533 -#645 := [unit-resolution #644 #640]: #620 -#609 := (or #721 #724 #465) -#624 := [def-axiom]: #609 -#651 := [unit-resolution #624 #645]: #646 -#647 := [unit-resolution #651 #664]: #724 -#626 := (or #721 #468 #475) -#627 := [def-axiom]: #626 -#648 := [unit-resolution #627 #647 #664]: #475 +#96 := (iff #15 #89) +#87 := (not #89) +#91 := (not #87) +#94 := (iff #91 #89) +#95 := [rewrite]: #94 +#92 := (iff #15 #91) +#88 := (iff #14 #87) +#90 := [rewrite]: #88 +#93 := [monotonicity #90]: #92 +#97 := [trans #93 #95]: #96 +#84 := [asserted]: #15 +#98 := [mp #84 #97]: #89 +#669 := (or #696 #87) +#670 := [th-lemma arith farkas 1 1]: #669 +#671 := [unit-resolution #670 #98]: #696 +#564 := (or #651 #769) +#675 := [th-lemma arith triangle-eq]: #564 +#676 := [unit-resolution #675 #671]: #651 +#640 := (or #752 #755 #496) +#655 := [def-axiom]: #640 +#682 := [unit-resolution #655 #676]: #677 +#678 := [unit-resolution #682 #690]: #755 +#657 := (or #752 #499 #506) +#658 := [def-axiom]: #657 +#679 := [unit-resolution #658 #678 #690]: #506 decl f9 :: (-> S6 Int S5) decl f10 :: S6 #16 := f10 -#377 := (f9 f10 #10) -#632 := (f6 f7 #377) -#725 := (= #632 0::Int) -#581 := (not #725) -#636 := (iff #724 #581) -#655 := (iff #468 #725) -#654 := (iff #725 #468) -#652 := (= #632 #10) -#462 := (= #377 f8) +#409 := (f9 f10 #10) +#663 := (f6 f7 #409) +#756 := (= #663 0::Int) +#612 := (not #756) +#667 := (iff #755 #612) +#686 := (iff #499 #756) +#685 := (iff #756 #499) +#683 := (= #663 #10) +#493 := (= #409 f8) #17 := (:var 0 S5) #18 := (f6 f7 #17) -#791 := (pattern #18) +#822 := (pattern #18) #19 := (f9 f10 #18) #20 := (= #19 #17) -#792 := (forall (vars (?v0 S5)) (:pat #791) #20) +#823 := (forall (vars (?v0 S5)) (:pat #822) #20) #21 := (forall (vars (?v0 S5)) #20) -#795 := (iff #21 #792) -#793 := (iff #20 #20) -#794 := [refl]: #793 -#796 := [quant-intro #794]: #795 -#283 := (~ #21 #21) -#291 := (~ #20 #20) -#292 := [refl]: #291 -#284 := [nnf-pos #292]: #283 -#67 := [asserted]: #21 -#293 := [mp~ #67 #284]: #21 -#797 := [mp #293 #796]: #792 -#455 := (not #792) -#466 := (or #455 #462) -#467 := [quant-inst #9]: #466 -#649 := [unit-resolution #467 #797]: #462 -#653 := [monotonicity #649]: #652 -#650 := [monotonicity #653]: #654 -#635 := [symm #650]: #655 -#617 := [monotonicity #635]: #636 -#641 := [mp #647 #617]: #581 -#722 := (or #442 #725) +#826 := (iff #21 #823) +#824 := (iff #20 #20) +#825 := [refl]: #824 +#827 := [quant-intro #825]: #826 +#268 := (~ #21 #21) +#266 := (~ #20 #20) +#267 := [refl]: #266 +#269 := [nnf-pos #267]: #268 +#85 := [asserted]: #21 +#254 := [mp~ #85 #269]: #21 +#828 := [mp #254 #827]: #823 +#486 := (not #823) +#497 := (or #486 #493) +#498 := [quant-inst #9]: #497 +#680 := [unit-resolution #498 #828]: #493 +#684 := [monotonicity #680]: #683 +#681 := [monotonicity #684]: #685 +#666 := [symm #681]: #686 +#648 := [monotonicity #666]: #667 +#672 := [mp #678 #648]: #612 +#753 := (or #473 #756) #25 := (f9 f10 #23) -#798 := (pattern #25) +#829 := (pattern #25) #26 := (f6 f7 #25) #31 := (= #26 0::Int) -#222 := (>= #23 0::Int) -#235 := (or #222 #31) -#805 := (forall (vars (?v0 Int)) (:pat #798) #235) -#238 := (forall (vars (?v0 Int)) #235) -#808 := (iff #238 #805) -#806 := (iff #235 #235) -#807 := [refl]: #806 -#809 := [quant-intro #807]: #808 -#287 := (~ #238 #238) -#216 := (~ #235 #235) -#221 := [refl]: #216 -#288 := [nnf-pos #221]: #287 -#24 := (<= 0::Int #23) -#113 := (or #24 #31) -#118 := (forall (vars (?v0 Int)) #113) -#239 := (iff #118 #238) -#236 := (iff #113 #235) -#223 := (iff #24 #222) -#224 := [rewrite]: #223 -#237 := [monotonicity #224]: #236 -#240 := [quant-intro #237]: #239 +#108 := (>= #23 0::Int) +#138 := (or #108 #31) +#836 := (forall (vars (?v0 Int)) (:pat #829) #138) +#141 := (forall (vars (?v0 Int)) #138) +#839 := (iff #141 #836) +#837 := (iff #138 #138) +#838 := [refl]: #837 +#840 := [quant-intro #838]: #839 +#258 := (~ #141 #141) +#270 := (~ #138 #138) +#271 := [refl]: #270 +#259 := [nnf-pos #271]: #258 #30 := (< #23 0::Int) #32 := (implies #30 #31) #33 := (forall (vars (?v0 Int)) #32) -#119 := (iff #33 #118) -#116 := (iff #32 #113) -#96 := (not #24) -#110 := (implies #96 #31) -#114 := (iff #110 #113) -#115 := [rewrite]: #114 -#111 := (iff #32 #110) -#105 := (iff #30 #96) -#107 := (iff #96 #96) -#92 := (iff #24 #24) -#93 := [rewrite]: #92 -#108 := [monotonicity #93]: #107 -#106 := [rewrite]: #105 -#109 := [trans #106 #108]: #105 -#112 := [monotonicity #109]: #111 -#117 := [trans #112 #115]: #116 -#120 := [quant-intro #117]: #119 -#69 := [asserted]: #33 -#121 := [mp #69 #120]: #118 -#241 := [mp #121 #240]: #238 -#295 := [mp~ #241 #288]: #238 -#810 := [mp #295 #809]: #805 -#715 := (not #805) -#707 := (or #715 #442 #725) -#704 := (or #715 #722) -#716 := (iff #704 #707) -#717 := [rewrite]: #716 -#706 := [quant-inst #10]: #704 -#718 := [mp #706 #717]: #707 -#642 := [unit-resolution #718 #810]: #722 -#637 := [unit-resolution #642 #641]: #442 -#643 := (or #468 #772 #778) -#611 := [th-lemma arith triangle-eq]: #643 -#618 := [unit-resolution #611 #647]: #487 -#577 := [unit-resolution #618 #637]: #772 -#733 := (or #487 #469) -#734 := [def-axiom]: #733 -#608 := [unit-resolution #734 #577]: #487 -#735 := (not #487) -#730 := (not #475) -#731 := (or #730 #735 #788) -#729 := [def-axiom]: #731 -#610 := [unit-resolution #729 #608 #648]: #788 -#615 := (not #788) -#612 := (or #615 #573) -#619 := [th-lemma arith triangle-eq]: #612 -#621 := [unit-resolution #619 #610]: #573 -[th-lemma arith farkas -1 1 1 #220 #621 #663]: false -6084ebd236b571d1d73842a11d064afa9bdf415b 618 0 -unsat +#144 := (iff #33 #141) +#122 := (not #30) +#123 := (or #122 #31) +#126 := (forall (vars (?v0 Int)) #123) +#142 := (iff #126 #141) +#139 := (iff #123 #138) +#136 := (iff #122 #108) +#109 := (not #108) +#131 := (not #109) +#134 := (iff #131 #108) +#135 := [rewrite]: #134 +#132 := (iff #122 #131) +#129 := (iff #30 #109) +#130 := [rewrite]: #129 +#133 := [monotonicity #130]: #132 +#137 := [trans #133 #135]: #136 +#140 := [monotonicity #137]: #139 +#143 := [quant-intro #140]: #142 +#127 := (iff #33 #126) +#124 := (iff #32 #123) +#125 := [rewrite]: #124 +#128 := [quant-intro #125]: #127 +#145 := [trans #128 #143]: #144 +#121 := [asserted]: #33 +#146 := [mp #121 #145]: #141 +#272 := [mp~ #146 #259]: #141 +#841 := [mp #272 #840]: #836 +#746 := (not #836) +#738 := (or #746 #473 #756) +#735 := (or #746 #753) +#747 := (iff #735 #738) +#748 := [rewrite]: #747 +#737 := [quant-inst #10]: #735 +#749 := [mp #737 #748]: #738 +#673 := [unit-resolution #749 #841]: #753 +#668 := [unit-resolution #673 #672]: #473 +#674 := (or #499 #803 #809) +#642 := [th-lemma arith triangle-eq]: #674 +#649 := [unit-resolution #642 #678]: #518 +#608 := [unit-resolution #649 #668]: #803 +#764 := (or #518 #500) +#765 := [def-axiom]: #764 +#639 := [unit-resolution #765 #608]: #518 +#766 := (not #518) +#761 := (not #506) +#762 := (or #761 #766 #819) +#760 := [def-axiom]: #762 +#641 := [unit-resolution #760 #639 #679]: #819 +#646 := (not #819) +#643 := (or #646 #604) +#650 := [th-lemma arith triangle-eq]: #643 +#652 := [unit-resolution #650 #641]: #604 +[th-lemma arith farkas -1 1 1 #98 #652 #695]: false +unsat +1311ced639549b32ffab57e57f403189256df4d9 590 0 #2 := false #13 := 3::Int decl f8 :: (-> S6 S3 Int) @@ -19690,221 +18317,196 @@ decl f9 :: S6 #9 := f9 #11 := (f8 f9 f10) -#785 := (mod #11 3::Int) -#643 := (>= #785 3::Int) -#623 := (not #643) -#1 := true -#222 := [true-axiom]: true -#660 := (or false #623) -#646 := [th-lemma arith]: #660 -#627 := [unit-resolution #646 #222]: #623 -#226 := (>= #11 3::Int) -#387 := (not #226) -#546 := [hypothesis]: #387 +#458 := (mod #11 3::Int) +#638 := (>= #458 3::Int) +#639 := (not #638) +#1 := true +#85 := [true-axiom]: true +#629 := (or false #639) +#599 := [th-lemma arith]: #629 +#600 := [unit-resolution #599 #85]: #639 +#94 := (>= #11 3::Int) +#92 := (not #94) +#522 := [hypothesis]: #92 #25 := 0::Int -#155 := -1::Int -#788 := (* -1::Int #785) +#706 := (div #11 3::Int) +#633 := -3::Int +#696 := (* -3::Int #706) +#158 := -1::Int +#818 := (* -1::Int #458) +#676 := (+ #818 #696) +#622 := (+ #11 #676) +#678 := (<= #622 0::Int) +#691 := (= #622 0::Int) +#601 := (or false #691) +#602 := [th-lemma arith]: #601 +#604 := [unit-resolution #602 #85]: #691 +#605 := (not #691) +#606 := (or #605 #678) +#449 := [th-lemma arith triangle-eq]: #606 +#607 := [unit-resolution #449 #604]: #678 decl f5 :: (-> S4 Int Int) decl f6 :: (-> S5 Int S4) decl f7 :: S5 #8 := f7 #12 := (f6 f7 #11) #14 := (f5 #12 3::Int) -#774 := (+ #14 #788) -#725 := (<= #774 0::Int) -#775 := (= #774 0::Int) -#781 := (= #11 0::Int) -#707 := (not #781) +#816 := (+ #14 #818) +#767 := (<= #816 0::Int) +#819 := (= #816 0::Int) +#810 := (= #11 0::Int) +#753 := (not #810) decl f3 :: (-> S2 Int S3) decl f4 :: S2 #7 := f4 #15 := (f3 f4 #14) #16 := (= #15 f10) -#477 := (not #16) -#479 := (or #477 #226) -#228 := (iff #16 #226) -#78 := (<= 3::Int #11) -#94 := (iff #16 #78) -#229 := (iff #94 #228) -#225 := (iff #78 #226) -#227 := [rewrite]: #225 -#230 := [monotonicity #227]: #229 +#88 := (not #16) +#509 := (or #88 #94) +#99 := (iff #16 #94) #17 := (< #11 3::Int) #18 := (iff #16 #17) #19 := (not #18) -#96 := (iff #19 #94) -#79 := (not #78) -#87 := (iff #16 #79) -#90 := (not #87) -#93 := (iff #90 #94) +#104 := (iff #19 #99) +#89 := (iff #88 #17) +#102 := (iff #89 #99) +#96 := (iff #88 #92) +#100 := (iff #96 #99) +#101 := [rewrite]: #100 +#97 := (iff #89 #96) +#93 := (iff #17 #92) #95 := [rewrite]: #93 -#91 := (iff #19 #90) -#88 := (iff #18 #87) -#80 := (iff #17 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) -#83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86]: #88 -#92 := [monotonicity #89]: #91 -#97 := [trans #92 #95]: #96 -#69 := [asserted]: #19 -#98 := [mp #69 #97]: #94 -#231 := [mp #98 #230]: #228 -#472 := (not #228) -#478 := (or #477 #226 #472) -#475 := [def-axiom]: #478 -#458 := [unit-resolution #475 #231]: #479 -#554 := [unit-resolution #458 #546]: #477 -#675 := (or #707 #16) -#793 := (f3 f4 #11) -#795 := (= #793 f10) +#98 := [monotonicity #95]: #97 +#103 := [trans #98 #101]: #102 +#90 := (iff #19 #89) +#91 := [rewrite]: #90 +#105 := [trans #91 #103]: #104 +#87 := [asserted]: #19 +#106 := [mp #87 #105]: #99 +#419 := (not #99) +#507 := (or #88 #94 #419) +#508 := [def-axiom]: #507 +#506 := [unit-resolution #508 #106]: #509 +#513 := [unit-resolution #506 #522]: #88 +#705 := (or #753 #16) +#510 := (f3 f4 #11) +#489 := (= #510 f10) #20 := (:var 0 S3) #21 := (f8 f9 #20) -#801 := (pattern #21) +#832 := (pattern #21) #22 := (f3 f4 #21) #23 := (= #22 #20) -#802 := (forall (vars (?v0 S3)) (:pat #801) #23) +#833 := (forall (vars (?v0 S3)) (:pat #832) #23) #24 := (forall (vars (?v0 S3)) #23) -#805 := (iff #24 #802) -#803 := (iff #23 #23) -#804 := [refl]: #803 -#806 := [quant-intro #804]: #805 -#295 := (~ #24 #24) -#293 := (~ #23 #23) -#294 := [refl]: #293 -#296 := [nnf-pos #294]: #295 -#70 := [asserted]: #24 -#299 := [mp~ #70 #296]: #24 -#807 := [mp #299 #806]: #802 -#789 := (not #802) -#463 := (or #789 #795) -#464 := [quant-inst #10]: #463 -#683 := [unit-resolution #464 #807]: #795 -#672 := (= #15 #793) -#776 := (= #14 #11) -#667 := (= 0::Int #11) -#678 := [hypothesis]: #781 -#668 := [symm #678]: #667 -#782 := (= #14 0::Int) -#684 := (or #707 #782) -#604 := -3::Int -#497 := (* -1::Int #11) -#748 := (mod #497 -3::Int) -#744 := (+ #14 #748) -#745 := (= #744 0::Int) -#786 := (>= #11 0::Int) -#759 := (not #786) -#777 := (<= #11 0::Int) -#480 := (not #777) -#761 := (or #480 #759) -#583 := (if #761 #775 #745) -#738 := (if #781 #782 #583) +#836 := (iff #24 #833) +#834 := (iff #23 #23) +#835 := [refl]: #834 +#837 := [quant-intro #835]: #836 +#278 := (~ #24 #24) +#276 := (~ #23 #23) +#277 := [refl]: #276 +#279 := [nnf-pos #277]: #278 +#107 := [asserted]: #24 +#264 := [mp~ #107 #279]: #24 +#838 := [mp #264 #837]: #833 +#483 := (not #833) +#613 := (or #483 #489) +#820 := [quant-inst #10]: #613 +#712 := [unit-resolution #820 #838]: #489 +#699 := (= #15 #510) +#823 := (= #14 #11) +#701 := (= 0::Int #11) +#713 := [hypothesis]: #810 +#697 := [symm #713]: #701 +#811 := (= #14 0::Int) +#714 := (or #753 #811) +#805 := (* -1::Int #11) +#777 := (mod #805 -3::Int) +#780 := (+ #14 #777) +#781 := (= #780 0::Int) +#452 := (>= #11 0::Int) +#784 := (not #452) +#812 := (<= #11 0::Int) +#795 := (not #812) +#791 := (or #795 #784) +#783 := (if #791 #819 #781) +#615 := (if #810 #811 #783) #26 := (:var 0 Int) #38 := (:var 1 Int) #58 := (f6 f7 #38) #59 := (f5 #58 #26) -#828 := (pattern #59) -#159 := (* -1::Int #26) -#156 := (* -1::Int #38) -#178 := (mod #156 #159) -#376 := (+ #59 #178) -#377 := (= #376 0::Int) +#859 := (pattern #59) +#162 := (* -1::Int #26) +#159 := (* -1::Int #38) +#217 := (mod #159 #162) +#347 := (+ #59 #217) +#348 := (= #347 0::Int) #60 := (mod #38 #26) -#373 := (* -1::Int #60) -#374 := (+ #59 #373) -#375 := (= #374 0::Int) -#133 := (<= #26 0::Int) -#252 := (>= #38 0::Int) -#320 := (or #252 #133) -#321 := (not #320) -#129 := (<= #38 0::Int) -#316 := (or #129 #133) -#317 := (not #316) -#324 := (or #317 #321) -#378 := (if #324 #375 #377) -#372 := (= #59 0::Int) +#344 := (* -1::Int #60) +#345 := (+ #59 #344) +#346 := (= #345 0::Int) +#184 := (<= #26 0::Int) +#191 := (>= #38 0::Int) +#291 := (or #191 #184) +#292 := (not #291) +#180 := (<= #38 0::Int) +#289 := (or #180 #184) +#290 := (not #289) +#295 := (or #290 #292) +#349 := (if #295 #346 #348) +#343 := (= #59 0::Int) #41 := (= #38 0::Int) -#379 := (if #41 #372 #378) -#371 := (= #59 #38) +#350 := (if #41 #343 #349) +#342 := (= #59 #38) #42 := (= #26 0::Int) -#380 := (if #42 #371 #379) -#829 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #828) #380) -#383 := (forall (vars (?v0 Int) (?v1 Int)) #380) -#832 := (iff #383 #829) -#830 := (iff #380 #380) -#831 := [refl]: #830 -#833 := [quant-intro #831]: #832 -#184 := (* -1::Int #178) -#340 := (if #324 #60 #184) -#343 := (if #41 0::Int #340) -#346 := (if #42 #38 #343) -#349 := (= #59 #346) -#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) -#384 := (iff #352 #383) -#381 := (iff #349 #380) -#382 := [rewrite]: #381 -#385 := [quant-intro #382]: #384 -#134 := (not #133) -#255 := (not #252) -#258 := (and #255 #134) -#130 := (not #129) -#137 := (and #130 #134) -#261 := (or #137 #258) -#277 := (if #261 #60 #184) -#280 := (if #41 0::Int #277) -#283 := (if #42 #38 #280) -#286 := (= #59 #283) -#289 := (forall (vars (?v0 Int) (?v1 Int)) #286) -#353 := (iff #289 #352) -#350 := (iff #286 #349) -#347 := (= #283 #346) -#344 := (= #280 #343) -#341 := (= #277 #340) -#325 := (iff #261 #324) -#322 := (iff #258 #321) -#323 := [rewrite]: #322 -#318 := (iff #137 #317) -#319 := [rewrite]: #318 -#326 := [monotonicity #319 #323]: #325 -#342 := [monotonicity #326]: #341 -#345 := [monotonicity #342]: #344 -#348 := [monotonicity #345]: #347 -#351 := [monotonicity #348]: #350 -#354 := [quant-intro #351]: #353 -#313 := (~ #289 #289) -#311 := (~ #286 #286) -#312 := [refl]: #311 -#314 := [nnf-pos #312]: #313 -#140 := (<= 0::Int #38) -#141 := (not #140) -#149 := (and #141 #134) -#152 := (or #137 #149) -#189 := (if #152 #60 #184) -#192 := (if #41 0::Int #189) -#195 := (if #42 #38 #192) -#198 := (= #59 #195) -#201 := (forall (vars (?v0 Int) (?v1 Int)) #198) -#290 := (iff #201 #289) -#287 := (iff #198 #286) -#284 := (= #195 #283) -#281 := (= #192 #280) -#278 := (= #189 #277) -#262 := (iff #152 #261) -#259 := (iff #149 #258) -#256 := (iff #141 #255) -#253 := (iff #140 #252) -#254 := [rewrite]: #253 -#257 := [monotonicity #254]: #256 -#260 := [monotonicity #257]: #259 -#263 := [monotonicity #260]: #262 -#279 := [monotonicity #263]: #278 -#282 := [monotonicity #279]: #281 -#285 := [monotonicity #282]: #284 -#288 := [monotonicity #285]: #287 -#291 := [quant-intro #288]: #290 +#351 := (if #42 #342 #350) +#860 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #859) #351) +#354 := (forall (vars (?v0 Int) (?v1 Int)) #351) +#863 := (iff #354 #860) +#861 := (iff #351 #351) +#862 := [refl]: #861 +#864 := [quant-intro #862]: #863 +#223 := (* -1::Int #217) +#311 := (if #295 #60 #223) +#314 := (if #41 0::Int #311) +#317 := (if #42 #38 #314) +#320 := (= #59 #317) +#323 := (forall (vars (?v0 Int) (?v1 Int)) #320) +#355 := (iff #323 #354) +#352 := (iff #320 #351) +#353 := [rewrite]: #352 +#356 := [quant-intro #353]: #355 +#185 := (not #184) +#192 := (not #191) +#195 := (and #192 #185) +#181 := (not #180) +#188 := (and #181 #185) +#198 := (or #188 #195) +#243 := (if #198 #60 #223) +#246 := (if #41 0::Int #243) +#249 := (if #42 #38 #246) +#252 := (= #59 #249) +#255 := (forall (vars (?v0 Int) (?v1 Int)) #252) +#324 := (iff #255 #323) +#321 := (iff #252 #320) +#318 := (= #249 #317) +#315 := (= #246 #314) +#312 := (= #243 #311) +#296 := (iff #198 #295) +#293 := (iff #195 #292) +#294 := [rewrite]: #293 +#274 := (iff #188 #290) +#275 := [rewrite]: #274 +#297 := [monotonicity #275 #294]: #296 +#313 := [monotonicity #297]: #312 +#316 := [monotonicity #313]: #315 +#319 := [monotonicity #316]: #318 +#322 := [monotonicity #319]: #321 +#325 := [quant-intro #322]: #324 +#272 := (~ #255 #255) +#286 := (~ #252 #252) +#287 := [refl]: #286 +#273 := [nnf-pos #287]: #272 #52 := (- #26) #51 := (- #38) #61 := (mod #51 #52) @@ -19920,387 +18522,384 @@ #65 := (if #42 #38 #64) #66 := (= #59 #65) #67 := (forall (vars (?v0 Int) (?v1 Int)) #66) -#202 := (iff #67 #201) -#199 := (iff #66 #198) -#196 := (= #65 #195) -#193 := (= #64 #192) -#190 := (= #63 #189) -#187 := (= #62 #184) -#181 := (- #178) -#185 := (= #181 #184) -#186 := [rewrite]: #185 -#182 := (= #62 #181) -#179 := (= #61 #178) -#160 := (= #52 #159) +#258 := (iff #67 #255) +#228 := (if #49 #60 #223) +#231 := (if #41 0::Int #228) +#234 := (if #42 #38 #231) +#237 := (= #59 #234) +#240 := (forall (vars (?v0 Int) (?v1 Int)) #237) +#256 := (iff #240 #255) +#253 := (iff #237 #252) +#250 := (= #234 #249) +#247 := (= #231 #246) +#244 := (= #228 #243) +#199 := (iff #49 #198) +#196 := (iff #48 #195) +#186 := (iff #45 #185) +#187 := [rewrite]: #186 +#193 := (iff #47 #192) +#194 := [rewrite]: #193 +#197 := [monotonicity #194 #187]: #196 +#189 := (iff #46 #188) +#182 := (iff #44 #181) +#183 := [rewrite]: #182 +#190 := [monotonicity #183 #187]: #189 +#200 := [monotonicity #190 #197]: #199 +#245 := [monotonicity #200]: #244 +#248 := [monotonicity #245]: #247 +#251 := [monotonicity #248]: #250 +#254 := [monotonicity #251]: #253 +#257 := [quant-intro #254]: #256 +#241 := (iff #67 #240) +#238 := (iff #66 #237) +#235 := (= #65 #234) +#232 := (= #64 #231) +#229 := (= #63 #228) +#226 := (= #62 #223) +#220 := (- #217) +#224 := (= #220 #223) +#225 := [rewrite]: #224 +#221 := (= #62 #220) +#218 := (= #61 #217) +#163 := (= #52 #162) +#164 := [rewrite]: #163 +#160 := (= #51 #159) #161 := [rewrite]: #160 -#157 := (= #51 #156) -#158 := [rewrite]: #157 -#180 := [monotonicity #158 #161]: #179 -#183 := [monotonicity #180]: #182 -#188 := [trans #183 #186]: #187 -#153 := (iff #49 #152) -#150 := (iff #48 #149) -#135 := (iff #45 #134) -#136 := [rewrite]: #135 -#142 := (iff #47 #141) -#146 := (iff #141 #141) -#144 := (iff #140 #140) -#145 := [rewrite]: #144 -#147 := [monotonicity #145]: #146 -#143 := [rewrite]: #142 -#148 := [trans #143 #147]: #142 -#151 := [monotonicity #148 #136]: #150 -#138 := (iff #46 #137) -#131 := (iff #44 #130) -#132 := [rewrite]: #131 -#139 := [monotonicity #132 #136]: #138 -#154 := [monotonicity #139 #151]: #153 -#191 := [monotonicity #154 #188]: #190 -#194 := [monotonicity #191]: #193 -#197 := [monotonicity #194]: #196 -#200 := [monotonicity #197]: #199 -#203 := [quant-intro #200]: #202 -#74 := [asserted]: #67 -#204 := [mp #74 #203]: #201 -#292 := [mp #204 #291]: #289 -#315 := [mp~ #292 #314]: #289 -#355 := [mp #315 #354]: #352 -#386 := [mp #355 #385]: #383 -#834 := [mp #386 #833]: #829 -#635 := (not #829) -#730 := (or #635 #738) -#498 := (* -1::Int 3::Int) -#499 := (mod #497 #498) -#500 := (+ #14 #499) -#393 := (= #500 0::Int) -#783 := (<= 3::Int 0::Int) -#426 := (or #786 #783) -#427 := (not #426) -#421 := (or #777 #783) -#784 := (not #421) -#787 := (or #784 #427) -#770 := (if #787 #775 #393) -#771 := (if #781 #782 #770) -#435 := (= 3::Int 0::Int) -#493 := (if #435 #776 #771) -#731 := (or #635 #493) -#619 := (iff #731 #730) -#636 := (iff #730 #730) -#637 := [rewrite]: #636 -#585 := (iff #493 #738) -#739 := (if false #776 #738) -#625 := (iff #739 #738) -#626 := [rewrite]: #625 -#742 := (iff #493 #739) -#740 := (iff #771 #738) -#584 := (iff #770 #583) -#752 := (iff #393 #745) -#750 := (= #500 #744) -#749 := (= #499 #748) -#746 := (= #498 -3::Int) -#747 := [rewrite]: #746 -#743 := [monotonicity #747]: #749 -#751 := [monotonicity #743]: #750 -#581 := [monotonicity #751]: #752 -#602 := (iff #787 #761) -#760 := (iff #427 #759) -#753 := (iff #426 #786) -#763 := (or #786 false) -#757 := (iff #763 #786) -#758 := [rewrite]: #757 -#767 := (iff #426 #763) -#772 := (iff #783 false) -#769 := [rewrite]: #772 -#756 := [monotonicity #769]: #767 -#754 := [trans #756 #758]: #753 -#755 := [monotonicity #754]: #760 -#762 := (iff #784 #480) -#764 := (iff #421 #777) -#773 := (or #777 false) -#485 := (iff #773 #777) -#486 := [rewrite]: #485 -#483 := (iff #421 #773) -#484 := [monotonicity #769]: #483 -#765 := [trans #484 #486]: #764 -#766 := [monotonicity #765]: #762 -#603 := [monotonicity #766 #755]: #602 -#737 := [monotonicity #603 #581]: #584 -#741 := [monotonicity #737]: #740 -#494 := (iff #435 false) -#768 := [rewrite]: #494 -#624 := [monotonicity #768 #741]: #742 -#733 := [trans #624 #626]: #585 -#634 := [monotonicity #733]: #619 -#630 := [trans #634 #637]: #619 -#734 := [quant-inst #11 #13]: #731 -#638 := [mp #734 #630]: #730 -#693 := [unit-resolution #638 #834]: #738 -#706 := (not #738) -#709 := (or #706 #707 #782) -#710 := [def-axiom]: #709 -#670 := [unit-resolution #710 #693]: #684 -#666 := [unit-resolution #670 #678]: #782 -#671 := [trans #666 #668]: #776 -#673 := [monotonicity #671]: #672 -#674 := [trans #673 #683]: #16 -#682 := [hypothesis]: #477 -#669 := [unit-resolution #682 #674]: false -#648 := [lemma #669]: #675 -#547 := [unit-resolution #648 #554]: #707 -#680 := (or #781 #775) -#705 := [hypothesis]: #707 -#732 := (not #761) -#718 := (not #775) -#685 := [hypothesis]: #718 -#694 := (or #781 #583) -#711 := (or #706 #781 #583) -#712 := [def-axiom]: #711 -#695 := [unit-resolution #712 #693]: #694 -#696 := [unit-resolution #695 #705]: #583 -#726 := (not #583) -#727 := (or #726 #732 #775) -#728 := [def-axiom]: #727 -#697 := [unit-resolution #728 #696 #685]: #732 -#640 := (or #761 #777) -#641 := [def-axiom]: #640 -#687 := [unit-resolution #641 #697]: #777 -#642 := (or #761 #786) -#735 := [def-axiom]: #642 -#698 := [unit-resolution #735 #697]: #786 -#676 := (or #781 #480 #759) -#677 := [th-lemma arith triangle-eq]: #676 -#679 := [unit-resolution #677 #698 #687 #705]: false -#681 := [lemma #679]: #680 -#550 := [unit-resolution #681 #547]: #775 -#551 := (or #718 #725) -#537 := [th-lemma arith triangle-eq]: #551 -#539 := [unit-resolution #537 #550]: #725 -#649 := (div #11 3::Int) -#662 := (* -3::Int #649) -#663 := (+ #11 #662 #788) -#665 := (<= #663 0::Int) -#659 := (= #663 0::Int) -#612 := (or false #659) -#613 := [th-lemma arith]: #612 -#614 := [unit-resolution #613 #222]: #659 -#615 := (not #659) -#590 := (or #615 #665) -#592 := [th-lemma arith triangle-eq]: #590 -#593 := [unit-resolution #592 #614]: #665 -#405 := 1::Int -#573 := -2::Int -#557 := (* -2::Int #649) -#562 := (+ #11 #557 #788) -#552 := (>= #562 1::Int) -#655 := (* -1::Int #14) -#656 := (+ #11 #655) -#661 := (<= #656 0::Int) -#527 := (not #661) -#611 := (= #11 #14) -#586 := (not #611) -#588 := (or #586 #16) -#616 := [hypothesis]: #611 -#601 := [symm #616]: #776 -#617 := [monotonicity #601]: #672 -#578 := [trans #617 #683]: #16 -#579 := [unit-resolution #682 #578]: false -#589 := [lemma #579]: #588 -#534 := [unit-resolution #589 #554]: #586 -#657 := (>= #656 0::Int) -#664 := (>= #649 0::Int) -#703 := (f8 f9 #793) -#704 := (= #703 0::Int) -#517 := (not #704) -#518 := (iff #707 #517) -#515 := (iff #781 #704) -#536 := (iff #704 #781) -#535 := (= #703 #11) -#524 := [monotonicity #683]: #535 -#513 := [monotonicity #524]: #536 -#516 := [symm #513]: #515 -#519 := [monotonicity #516]: #518 -#520 := [mp #547 #519]: #517 -#701 := (or #786 #704) +#219 := [monotonicity #161 #164]: #218 +#222 := [monotonicity #219]: #221 +#227 := [trans #222 #225]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [monotonicity #233]: #235 +#239 := [monotonicity #236]: #238 +#242 := [quant-intro #239]: #241 +#259 := [trans #242 #257]: #258 +#216 := [asserted]: #67 +#260 := [mp #216 #259]: #255 +#288 := [mp~ #260 #273]: #255 +#326 := [mp #288 #325]: #323 +#357 := [mp #326 #356]: #354 +#865 := [mp #357 #864]: #860 +#616 := (not #860) +#764 := (or #616 #615) +#806 := (* -1::Int 3::Int) +#528 := (mod #805 #806) +#529 := (+ #14 #528) +#530 := (= #529 0::Int) +#813 := (<= 3::Int 0::Int) +#815 := (or #452 #813) +#817 := (not #815) +#808 := (or #812 #813) +#814 := (not #808) +#457 := (or #814 #817) +#531 := (if #457 #819 #530) +#425 := (if #810 #811 #531) +#482 := (= 3::Int 0::Int) +#801 := (if #482 #823 #425) +#666 := (or #616 #801) +#762 := (iff #666 #764) +#650 := (iff #764 #764) +#665 := [rewrite]: #650 +#656 := (iff #801 #615) +#771 := (if false #823 #615) +#773 := (iff #771 #615) +#655 := [rewrite]: #773 +#772 := (iff #801 #771) +#768 := (iff #425 #615) +#612 := (iff #531 #783) +#782 := (iff #530 #781) +#774 := (= #529 #780) +#778 := (= #528 #777) +#634 := (= #806 -3::Int) +#635 := [rewrite]: #634 +#779 := [monotonicity #635]: #778 +#775 := [monotonicity #779]: #774 +#776 := [monotonicity #775]: #782 +#786 := (iff #457 #791) +#785 := (iff #817 #784) +#788 := (iff #815 #452) +#793 := (or #452 false) +#798 := (iff #793 #452) +#787 := [rewrite]: #798 +#797 := (iff #815 #793) +#525 := (iff #813 false) +#799 := [rewrite]: #525 +#794 := [monotonicity #799]: #797 +#789 := [trans #794 #787]: #788 +#790 := [monotonicity #789]: #785 +#796 := (iff #814 #795) +#516 := (iff #808 #812) +#803 := (or #812 false) +#514 := (iff #803 #812) +#515 := [rewrite]: #514 +#800 := (iff #808 #803) +#804 := [monotonicity #799]: #800 +#517 := [trans #804 #515]: #516 +#511 := [monotonicity #517]: #796 +#792 := [monotonicity #511 #790]: #786 +#614 := [monotonicity #792 #776]: #612 +#769 := [monotonicity #614]: #768 +#802 := (iff #482 false) +#524 := [rewrite]: #802 +#770 := [monotonicity #524 #769]: #772 +#657 := [trans #770 #655]: #656 +#765 := [monotonicity #657]: #762 +#667 := [trans #765 #665]: #762 +#761 := [quant-inst #11 #13]: #666 +#668 := [mp #761 #667]: #764 +#722 := [unit-resolution #668 #865]: #615 +#746 := (not #615) +#737 := (or #746 #753 #811) +#738 := [def-axiom]: #737 +#709 := [unit-resolution #738 #722]: #714 +#715 := [unit-resolution #709 #713]: #811 +#698 := [trans #715 #697]: #823 +#702 := [monotonicity #698]: #699 +#703 := [trans #702 #712]: #16 +#711 := [hypothesis]: #88 +#704 := [unit-resolution #711 #703]: false +#700 := [lemma #704]: #705 +#523 := [unit-resolution #700 #513]: #753 +#708 := (or #810 #819) +#735 := [hypothesis]: #753 +#673 := (not #791) +#755 := (not #819) +#732 := [hypothesis]: #755 +#723 := (or #810 #783) +#740 := (or #746 #810 #783) +#741 := [def-axiom]: #740 +#724 := [unit-resolution #741 #722]: #723 +#725 := [unit-resolution #724 #735]: #783 +#745 := (not #783) +#747 := (or #745 #673 #819) +#757 := [def-axiom]: #747 +#726 := [unit-resolution #757 #725 #732]: #673 +#669 := (or #791 #812) +#670 := [def-axiom]: #669 +#727 := [unit-resolution #670 #726]: #812 +#671 := (or #791 #452) +#672 := [def-axiom]: #671 +#728 := [unit-resolution #672 #726]: #452 +#718 := (or #810 #795 #784) +#729 := [th-lemma arith triangle-eq]: #718 +#707 := [unit-resolution #729 #728 #727 #735]: false +#710 := [lemma #707]: #708 +#490 := [unit-resolution #710 #523]: #819 +#492 := (or #755 #767) +#493 := [th-lemma arith triangle-eq]: #492 +#484 := [unit-resolution #493 #490]: #767 +#370 := 1::Int +#597 := -2::Int +#526 := (* -2::Int #706) +#535 := (+ #818 #526) +#536 := (+ #11 #535) +#527 := (>= #536 1::Int) +#609 := (* -1::Int #14) +#610 := (+ #11 #609) +#617 := (<= #610 0::Int) +#502 := (not #617) +#648 := (= #11 #14) +#626 := (not #648) +#627 := (or #626 #16) +#620 := [hypothesis]: #648 +#621 := [symm #620]: #823 +#623 := [monotonicity #621]: #699 +#624 := [trans #623 #712]: #16 +#625 := [unit-resolution #711 #624]: false +#628 := [lemma #625]: #627 +#475 := [unit-resolution #628 #513]: #626 +#619 := (>= #610 0::Int) +#611 := (>= #706 0::Int) +#731 := (f8 f9 #510) +#733 := (= #731 0::Int) +#461 := (not #733) +#463 := (iff #753 #461) +#468 := (iff #810 #733) +#478 := (iff #733 #810) +#476 := (= #731 #11) +#477 := [monotonicity #712]: #476 +#479 := [monotonicity #477]: #478 +#480 := [symm #479]: #468 +#464 := [monotonicity #480]: #463 +#462 := [mp #523 #464]: #461 +#734 := (or #452 #733) #28 := (f3 f4 #26) -#808 := (pattern #28) +#839 := (pattern #28) #29 := (f8 f9 #28) #34 := (= #29 0::Int) -#232 := (>= #26 0::Int) -#245 := (or #232 #34) -#815 := (forall (vars (?v0 Int)) (:pat #808) #245) -#248 := (forall (vars (?v0 Int)) #245) -#818 := (iff #248 #815) -#816 := (iff #245 #245) -#817 := [refl]: #816 -#819 := [quant-intro #817]: #818 -#297 := (~ #248 #248) -#223 := (~ #245 #245) -#224 := [refl]: #223 -#298 := [nnf-pos #224]: #297 -#27 := (<= 0::Int #26) -#120 := (or #27 #34) -#125 := (forall (vars (?v0 Int)) #120) -#249 := (iff #125 #248) -#246 := (iff #120 #245) -#233 := (iff #27 #232) -#234 := [rewrite]: #233 -#247 := [monotonicity #234]: #246 -#250 := [quant-intro #247]: #249 +#118 := (>= #26 0::Int) +#148 := (or #118 #34) +#846 := (forall (vars (?v0 Int)) (:pat #839) #148) +#151 := (forall (vars (?v0 Int)) #148) +#849 := (iff #151 #846) +#847 := (iff #148 #148) +#848 := [refl]: #847 +#850 := [quant-intro #848]: #849 +#268 := (~ #151 #151) +#280 := (~ #148 #148) +#281 := [refl]: #280 +#269 := [nnf-pos #281]: #268 #33 := (< #26 0::Int) #35 := (implies #33 #34) #36 := (forall (vars (?v0 Int)) #35) -#126 := (iff #36 #125) -#123 := (iff #35 #120) -#103 := (not #27) -#117 := (implies #103 #34) -#121 := (iff #117 #120) -#122 := [rewrite]: #121 -#118 := (iff #35 #117) -#112 := (iff #33 #103) -#114 := (iff #103 #103) -#99 := (iff #27 #27) -#100 := [rewrite]: #99 -#115 := [monotonicity #100]: #114 -#113 := [rewrite]: #112 -#116 := [trans #113 #115]: #112 -#119 := [monotonicity #116]: #118 -#124 := [trans #119 #122]: #123 -#127 := [quant-intro #124]: #126 -#72 := [asserted]: #36 -#128 := [mp #72 #127]: #125 -#251 := [mp #128 #250]: #248 -#305 := [mp~ #251 #298]: #248 -#820 := [mp #305 #819]: #815 -#439 := (not #815) -#686 := (or #439 #786 #704) -#688 := (or #439 #701) -#690 := (iff #688 #686) -#691 := [rewrite]: #690 -#689 := [quant-inst #11]: #688 -#692 := [mp #689 #691]: #686 -#521 := [unit-resolution #692 #820]: #701 -#514 := [unit-resolution #521 #520]: #786 -#580 := (or #664 #759) -#594 := (not #664) -#595 := [hypothesis]: #594 -#596 := [hypothesis]: #786 -#597 := [th-lemma arith farkas 1 3 1 1 #596 #595 #593 #627]: false -#598 := [lemma #597]: #580 -#522 := [unit-resolution #598 #514]: #664 -#605 := (not #725) -#563 := (or #657 #605 #594) -#631 := (not #657) -#632 := [hypothesis]: #631 -#645 := (>= #663 0::Int) -#576 := (or #615 #645) -#572 := [th-lemma arith triangle-eq]: #576 -#577 := [unit-resolution #572 #614]: #645 -#556 := [hypothesis]: #664 -#644 := [hypothesis]: #725 -#559 := [th-lemma arith farkas 1 -3 -1 1 #644 #556 #577 #632]: false -#565 := [lemma #559]: #563 -#507 := [unit-resolution #565 #539 #522]: #657 -#508 := (or #611 #527 #631) -#509 := [th-lemma arith triangle-eq]: #508 -#511 := [unit-resolution #509 #507 #534]: #527 -#717 := (>= #774 0::Int) -#510 := (or #718 #717) -#512 := [th-lemma arith triangle-eq]: #510 -#501 := [unit-resolution #512 #550]: #717 -#531 := (not #717) -#532 := (or #552 #531 #661) -#541 := (not #552) -#526 := [hypothesis]: #541 -#528 := [hypothesis]: #527 -#529 := [hypothesis]: #717 -#530 := [th-lemma arith farkas -2/3 -1/3 -1/3 1 #577 #529 #528 #526]: false -#533 := [lemma #530]: #532 -#502 := [unit-resolution #533 #501 #511]: #552 -#452 := (>= #14 0::Int) -#591 := (>= #785 0::Int) -#503 := (or false #591) -#495 := [th-lemma arith]: #503 -#504 := [unit-resolution #495 #222]: #591 -#505 := (not #591) -#496 := (or #452 #505 #531) -#506 := [th-lemma arith assign-bounds 1 1]: #496 -#487 := [unit-resolution #506 #501 #504]: #452 -#488 := [th-lemma arith farkas -1 -3 2 1 1 #487 #502 #593 #539 #546]: false -#489 := [lemma #488]: #226 -#796 := (f8 f9 #15) -#797 := (= #796 #14) -#456 := (iff #797 #611) -#471 := (= #796 #11) -#465 := (or #16 #387) -#473 := (or #16 #387 #472) -#474 := [def-axiom]: #473 -#476 := [unit-resolution #474 #231]: #465 -#460 := [unit-resolution #476 #489]: #16 -#454 := [monotonicity #460]: #471 -#457 := [monotonicity #454]: #456 -#482 := (or #480 #387) -#492 := [th-lemma arith farkas 1 1]: #482 -#459 := [unit-resolution #492 #489]: #480 -#461 := (or #707 #777) -#462 := [th-lemma arith triangle-eq]: #461 -#453 := [unit-resolution #462 #459]: #707 -#466 := [unit-resolution #681 #453]: #775 -#467 := [unit-resolution #512 #466]: #717 -#468 := [unit-resolution #506 #467 #504]: #452 -#582 := (not #452) -#798 := (or #582 #797) +#154 := (iff #36 #151) +#132 := (not #33) +#133 := (or #132 #34) +#136 := (forall (vars (?v0 Int)) #133) +#152 := (iff #136 #151) +#149 := (iff #133 #148) +#146 := (iff #132 #118) +#119 := (not #118) +#141 := (not #119) +#144 := (iff #141 #118) +#145 := [rewrite]: #144 +#142 := (iff #132 #141) +#139 := (iff #33 #119) +#140 := [rewrite]: #139 +#143 := [monotonicity #140]: #142 +#147 := [trans #143 #145]: #146 +#150 := [monotonicity #147]: #149 +#153 := [quant-intro #150]: #152 +#137 := (iff #36 #136) +#134 := (iff #35 #133) +#135 := [rewrite]: #134 +#138 := [quant-intro #135]: #137 +#155 := [trans #138 #153]: #154 +#131 := [asserted]: #36 +#156 := [mp #131 #155]: #151 +#282 := [mp~ #156 #269]: #151 +#851 := [mp #282 #850]: #846 +#466 := (not #846) +#736 := (or #466 #452 #733) +#716 := (or #466 #734) +#719 := (iff #716 #736) +#720 := [rewrite]: #719 +#717 := [quant-inst #11]: #716 +#721 := [mp #717 #720]: #736 +#465 := [unit-resolution #721 #851]: #734 +#453 := [unit-resolution #465 #462]: #452 +#594 := (or #611 #784) +#603 := (not #611) +#608 := [hypothesis]: #603 +#587 := [hypothesis]: #452 +#590 := [th-lemma arith farkas 1 3 1 1 #587 #608 #607 #600]: false +#596 := [lemma #590]: #594 +#455 := [unit-resolution #596 #453]: #611 +#557 := (not #767) +#565 := (or #619 #557 #603) +#570 := (not #619) +#571 := [hypothesis]: #570 +#684 := (>= #622 0::Int) +#560 := (or #605 #684) +#561 := [th-lemma arith triangle-eq]: #560 +#562 := [unit-resolution #561 #604]: #684 +#563 := [hypothesis]: #611 +#572 := [hypothesis]: #767 +#564 := [th-lemma arith farkas 1 -3 -1 1 #572 #563 #562 #571]: false +#566 := [lemma #564]: #565 +#456 := [unit-resolution #566 #484 #455]: #619 +#459 := (or #648 #502 #570) +#454 := [th-lemma arith triangle-eq]: #459 +#460 := [unit-resolution #454 #456 #475]: #502 +#754 := (>= #816 0::Int) +#435 := (or #755 #754) +#439 := [th-lemma arith triangle-eq]: #435 +#440 := [unit-resolution #439 #490]: #754 +#467 := (not #754) +#469 := (or #527 #467 #617) +#499 := (not #527) +#491 := [hypothesis]: #499 +#485 := [hypothesis]: #502 +#487 := [hypothesis]: #754 +#488 := [th-lemma arith farkas -1/3 -1/3 -2/3 1 #487 #485 #562 #491]: false +#474 := [lemma #488]: #469 +#445 := [unit-resolution #474 #440 #460]: #527 +#824 := (>= #14 0::Int) +#652 := (>= #458 0::Int) +#447 := (or false #652) +#448 := [th-lemma arith]: #447 +#450 := [unit-resolution #448 #85]: #652 +#446 := (not #652) +#451 := (or #824 #446 #467) +#434 := [th-lemma arith assign-bounds 1 1]: #451 +#437 := [unit-resolution #434 #440 #450]: #824 +#438 := [th-lemma arith farkas -1 -3 1 2 1 #437 #445 #484 #607 #522]: false +#441 := [lemma #438]: #94 +#494 := (f8 f9 #15) +#495 := (= #494 #14) +#423 := (iff #495 #648) +#420 := (= #494 #11) +#505 := (or #16 #92) +#503 := (or #16 #92 #419) +#504 := [def-axiom]: #503 +#496 := [unit-resolution #504 #106]: #505 +#433 := [unit-resolution #496 #441]: #16 +#422 := [monotonicity #433]: #420 +#421 := [monotonicity #422]: #423 +#442 := (or #795 #92) +#443 := [th-lemma arith farkas 1 1]: #442 +#436 := [unit-resolution #443 #441]: #795 +#444 := (or #753 #812) +#429 := [th-lemma arith triangle-eq]: #444 +#426 := [unit-resolution #429 #436]: #753 +#427 := [unit-resolution #710 #426]: #819 +#430 := [unit-resolution #439 #427]: #754 +#431 := [unit-resolution #434 #430 #450]: #824 +#826 := (not #824) +#827 := (or #826 #495) #30 := (= #29 #26) -#235 := (not #232) -#238 := (or #235 #30) -#809 := (forall (vars (?v0 Int)) (:pat #808) #238) -#241 := (forall (vars (?v0 Int)) #238) -#812 := (iff #241 #809) -#810 := (iff #238 #238) -#811 := [refl]: #810 -#813 := [quant-intro #811]: #812 -#302 := (~ #241 #241) -#300 := (~ #238 #238) -#301 := [refl]: #300 -#303 := [nnf-pos #301]: #302 -#104 := (or #103 #30) -#108 := (forall (vars (?v0 Int)) #104) -#242 := (iff #108 #241) -#239 := (iff #104 #238) -#236 := (iff #103 #235) -#237 := [monotonicity #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [quant-intro #240]: #242 +#122 := (or #119 #30) +#840 := (forall (vars (?v0 Int)) (:pat #839) #122) +#125 := (forall (vars (?v0 Int)) #122) +#843 := (iff #125 #840) +#841 := (iff #122 #122) +#842 := [refl]: #841 +#844 := [quant-intro #842]: #843 +#266 := (~ #125 #125) +#265 := (~ #122 #122) +#262 := [refl]: #265 +#267 := [nnf-pos #262]: #266 +#27 := (<= 0::Int #26) #31 := (implies #27 #30) #32 := (forall (vars (?v0 Int)) #31) -#109 := (iff #32 #108) -#105 := (iff #31 #104) -#106 := [rewrite]: #105 -#101 := (iff #31 #31) -#102 := [monotonicity #100]: #101 -#107 := [trans #102 #106]: #105 -#110 := [quant-intro #107]: #109 -#71 := [asserted]: #32 -#111 := [mp #71 #110]: #108 -#244 := [mp #111 #243]: #241 -#304 := [mp~ #244 #303]: #241 -#814 := [mp #304 #813]: #809 -#800 := (not #809) -#790 := (or #800 #582 #797) -#450 := (or #800 #798) -#791 := (iff #450 #790) -#451 := [rewrite]: #791 -#455 := [quant-inst #14]: #450 -#792 := [mp #455 #451]: #790 -#469 := [unit-resolution #792 #814]: #798 -#470 := [unit-resolution #469 #468]: #797 -#436 := [mp #470 #457]: #611 -#438 := (or #586 #661) -#443 := [th-lemma arith triangle-eq]: #438 -#444 := [unit-resolution #443 #436]: #661 -#445 := [unit-resolution #537 #466]: #725 -[th-lemma arith farkas 1 1 -1 1 #445 #444 #489 #627]: false -39e38a4cd6cf46af7d8d64c6a30d6324a7b844a7 778 0 -unsat +#128 := (iff #32 #125) +#109 := (not #27) +#110 := (or #109 #30) +#113 := (forall (vars (?v0 Int)) #110) +#126 := (iff #113 #125) +#123 := (iff #110 #122) +#120 := (iff #109 #119) +#116 := (iff #27 #118) +#117 := [rewrite]: #116 +#121 := [monotonicity #117]: #120 +#124 := [monotonicity #121]: #123 +#127 := [quant-intro #124]: #126 +#114 := (iff #32 #113) +#111 := (iff #31 #110) +#112 := [rewrite]: #111 +#115 := [quant-intro #112]: #114 +#129 := [trans #115 #127]: #128 +#108 := [asserted]: #32 +#130 := [mp #108 #129]: #125 +#263 := [mp~ #130 #267]: #125 +#845 := [mp #263 #844]: #840 +#830 := (not #840) +#825 := (or #830 #826 #495) +#831 := (or #830 #827) +#481 := (iff #831 #825) +#486 := [rewrite]: #481 +#821 := [quant-inst #14]: #831 +#822 := [mp #821 #486]: #825 +#432 := [unit-resolution #822 #845]: #827 +#428 := [unit-resolution #432 #431]: #495 +#424 := [mp #428 #421]: #648 +#866 := (or #626 #617) +#867 := [th-lemma arith triangle-eq]: #866 +#868 := [unit-resolution #867 #424]: #617 +#869 := [unit-resolution #493 #427]: #767 +[th-lemma arith farkas 1 1 -1 1 #869 #868 #441 #600]: false +unsat +9d3396d381ad41e645649796d61e70c5401ede3a 761 0 #2 := false #28 := 0::Int decl f9 :: (-> S6 S2 Int) @@ -20309,14 +18908,14 @@ decl f10 :: S6 #10 := f10 #11 := (f9 f10 f3) -#762 := (>= #11 0::Int) -#738 := (not #762) -#415 := (<= #11 0::Int) -#749 := (not #415) -#740 := (or #749 #738) -#716 := (not #740) -#429 := (= #11 0::Int) -#692 := (not #429) +#804 := (>= #11 0::Int) +#780 := (not #804) +#816 := (<= #11 0::Int) +#631 := (not #816) +#610 := (or #631 #780) +#753 := (not #610) +#471 := (= #11 0::Int) +#730 := (not #471) decl f4 :: (-> S3 Int S2) decl f6 :: (-> S4 Int Int) #13 := 1::Int @@ -20329,159 +18928,132 @@ #9 := f8 #12 := (f7 f8 #11) #14 := (f6 #12 1::Int) -#82 := (+ #14 #18) +#92 := (+ #14 #18) decl f5 :: S3 #8 := f5 -#85 := (f4 f5 #82) -#88 := (= f3 #85) -#466 := (f9 f10 #85) -#445 := (f4 f5 #466) -#424 := (= #445 #85) +#95 := (f4 f5 #92) +#98 := (= f3 #95) +#507 := (f9 f10 #95) +#465 := (f4 f5 #507) +#467 := (= #465 #95) #23 := (:var 0 S2) #24 := (f9 f10 #23) -#789 := (pattern #24) +#830 := (pattern #24) #25 := (f4 f5 #24) #26 := (= #25 #23) -#790 := (forall (vars (?v0 S2)) (:pat #789) #26) +#831 := (forall (vars (?v0 S2)) (:pat #830) #26) #27 := (forall (vars (?v0 S2)) #26) -#793 := (iff #27 #790) -#791 := (iff #26 #26) -#792 := [refl]: #791 -#794 := [quant-intro #792]: #793 -#219 := (~ #27 #27) -#282 := (~ #26 #26) -#283 := [refl]: #282 -#220 := [nnf-pos #283]: #219 -#72 := [asserted]: #27 -#284 := [mp~ #72 #220]: #27 -#795 := [mp #284 #794]: #790 -#453 := (not #790) -#555 := (or #453 #424) -#562 := [quant-inst #85]: #555 -#535 := [unit-resolution #562 #795]: #424 -#541 := (= f3 #445) -#376 := (f4 f5 #11) -#379 := (= #376 #445) -#390 := (= #445 #376) -#536 := (= #466 #11) -#551 := (= 0::Int #11) -#539 := [hypothesis]: #429 -#553 := [symm #539]: #551 -#427 := (= #466 0::Int) -#772 := (>= #466 0::Int) -#611 := (>= #18 0::Int) -#682 := (= #18 0::Int) -#538 := (or #692 #682) -#151 := -1::Int -#759 := (* -1::Int #11) -#709 := (mod #759 -1::Int) -#643 := (+ #18 #709) -#645 := (= #643 0::Int) -#650 := (if #740 #682 #645) -#648 := (if #429 #682 #650) +#834 := (iff #27 #831) +#832 := (iff #26 #26) +#833 := [refl]: #832 +#835 := [quant-intro #833]: #834 +#276 := (~ #27 #27) +#274 := (~ #26 #26) +#275 := [refl]: #274 +#277 := [nnf-pos #275]: #276 +#104 := [asserted]: #27 +#262 := [mp~ #104 #277]: #27 +#836 := [mp #262 #835]: #831 +#494 := (not #831) +#908 := (or #494 #467) +#909 := [quant-inst #95]: #908 +#952 := [unit-resolution #909 #836]: #467 +#959 := (= f3 #465) +#417 := (f4 f5 #11) +#957 := (= #417 #465) +#955 := (= #465 #417) +#950 := (= #507 #11) +#948 := (= 0::Int #11) +#906 := [hypothesis]: #471 +#949 := [symm #906]: #948 +#469 := (= #507 0::Int) +#815 := (>= #507 0::Int) +#673 := (>= #18 0::Int) +#724 := (= #18 0::Int) +#907 := (or #730 #724) +#156 := -1::Int +#522 := (* -1::Int #11) +#744 := (mod #522 -1::Int) +#685 := (+ #18 #744) +#687 := (= #685 0::Int) +#692 := (if #610 #724 #687) +#694 := (if #471 #724 #692) #29 := (:var 0 Int) #40 := (:var 1 Int) #60 := (f7 f11 #40) #61 := (f6 #60 #29) -#816 := (pattern #61) -#155 := (* -1::Int #29) -#152 := (* -1::Int #40) -#174 := (mod #152 #155) -#365 := (+ #61 #174) -#366 := (= #365 0::Int) +#857 := (pattern #61) +#160 := (* -1::Int #29) +#157 := (* -1::Int #40) +#215 := (mod #157 #160) +#345 := (+ #61 #215) +#346 := (= #345 0::Int) #62 := (mod #40 #29) -#362 := (* -1::Int #62) -#363 := (+ #61 #362) -#364 := (= #363 0::Int) -#129 := (<= #29 0::Int) -#241 := (>= #40 0::Int) -#309 := (or #241 #129) -#310 := (not #309) -#125 := (<= #40 0::Int) -#305 := (or #125 #129) -#306 := (not #305) -#313 := (or #306 #310) -#367 := (if #313 #364 #366) -#361 := (= #61 0::Int) +#342 := (* -1::Int #62) +#343 := (+ #61 #342) +#344 := (= #343 0::Int) +#182 := (<= #29 0::Int) +#189 := (>= #40 0::Int) +#289 := (or #189 #182) +#290 := (not #289) +#178 := (<= #40 0::Int) +#287 := (or #178 #182) +#288 := (not #287) +#293 := (or #288 #290) +#347 := (if #293 #344 #346) +#341 := (= #61 0::Int) #43 := (= #40 0::Int) -#368 := (if #43 #361 #367) -#360 := (= #61 #40) +#348 := (if #43 #341 #347) +#340 := (= #61 #40) #44 := (= #29 0::Int) -#369 := (if #44 #360 #368) -#817 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #816) #369) -#372 := (forall (vars (?v0 Int) (?v1 Int)) #369) -#820 := (iff #372 #817) -#818 := (iff #369 #369) -#819 := [refl]: #818 -#821 := [quant-intro #819]: #820 -#180 := (* -1::Int #174) -#329 := (if #313 #62 #180) -#332 := (if #43 0::Int #329) -#335 := (if #44 #40 #332) -#338 := (= #61 #335) -#341 := (forall (vars (?v0 Int) (?v1 Int)) #338) -#373 := (iff #341 #372) -#370 := (iff #338 #369) -#371 := [rewrite]: #370 -#374 := [quant-intro #371]: #373 -#130 := (not #129) -#244 := (not #241) -#247 := (and #244 #130) -#126 := (not #125) -#133 := (and #126 #130) -#250 := (or #133 #247) -#266 := (if #250 #62 #180) -#269 := (if #43 0::Int #266) -#272 := (if #44 #40 #269) -#275 := (= #61 #272) -#278 := (forall (vars (?v0 Int) (?v1 Int)) #275) -#342 := (iff #278 #341) -#339 := (iff #275 #338) -#336 := (= #272 #335) -#333 := (= #269 #332) -#330 := (= #266 #329) -#314 := (iff #250 #313) -#311 := (iff #247 #310) -#312 := [rewrite]: #311 -#307 := (iff #133 #306) -#308 := [rewrite]: #307 -#315 := [monotonicity #308 #312]: #314 -#331 := [monotonicity #315]: #330 -#334 := [monotonicity #331]: #333 -#337 := [monotonicity #334]: #336 -#340 := [monotonicity #337]: #339 -#343 := [quant-intro #340]: #342 -#302 := (~ #278 #278) -#300 := (~ #275 #275) -#301 := [refl]: #300 -#303 := [nnf-pos #301]: #302 -#136 := (<= 0::Int #40) -#137 := (not #136) -#145 := (and #137 #130) -#148 := (or #133 #145) -#185 := (if #148 #62 #180) -#188 := (if #43 0::Int #185) -#191 := (if #44 #40 #188) -#194 := (= #61 #191) -#197 := (forall (vars (?v0 Int) (?v1 Int)) #194) -#279 := (iff #197 #278) -#276 := (iff #194 #275) -#273 := (= #191 #272) -#270 := (= #188 #269) -#267 := (= #185 #266) -#251 := (iff #148 #250) -#248 := (iff #145 #247) -#245 := (iff #137 #244) -#242 := (iff #136 #241) -#243 := [rewrite]: #242 -#246 := [monotonicity #243]: #245 -#249 := [monotonicity #246]: #248 -#252 := [monotonicity #249]: #251 -#268 := [monotonicity #252]: #267 -#271 := [monotonicity #268]: #270 -#274 := [monotonicity #271]: #273 -#277 := [monotonicity #274]: #276 -#280 := [quant-intro #277]: #279 +#349 := (if #44 #340 #348) +#858 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #857) #349) +#352 := (forall (vars (?v0 Int) (?v1 Int)) #349) +#861 := (iff #352 #858) +#859 := (iff #349 #349) +#860 := [refl]: #859 +#862 := [quant-intro #860]: #861 +#221 := (* -1::Int #215) +#309 := (if #293 #62 #221) +#312 := (if #43 0::Int #309) +#315 := (if #44 #40 #312) +#318 := (= #61 #315) +#321 := (forall (vars (?v0 Int) (?v1 Int)) #318) +#353 := (iff #321 #352) +#350 := (iff #318 #349) +#351 := [rewrite]: #350 +#354 := [quant-intro #351]: #353 +#183 := (not #182) +#190 := (not #189) +#193 := (and #190 #183) +#179 := (not #178) +#186 := (and #179 #183) +#196 := (or #186 #193) +#241 := (if #196 #62 #221) +#244 := (if #43 0::Int #241) +#247 := (if #44 #40 #244) +#250 := (= #61 #247) +#253 := (forall (vars (?v0 Int) (?v1 Int)) #250) +#322 := (iff #253 #321) +#319 := (iff #250 #318) +#316 := (= #247 #315) +#313 := (= #244 #312) +#310 := (= #241 #309) +#294 := (iff #196 #293) +#291 := (iff #193 #290) +#292 := [rewrite]: #291 +#272 := (iff #186 #288) +#273 := [rewrite]: #272 +#295 := [monotonicity #273 #292]: #294 +#311 := [monotonicity #295]: #310 +#314 := [monotonicity #311]: #313 +#317 := [monotonicity #314]: #316 +#320 := [monotonicity #317]: #319 +#323 := [quant-intro #320]: #322 +#270 := (~ #253 #253) +#284 := (~ #250 #250) +#285 := [refl]: #284 +#271 := [nnf-pos #285]: #270 #54 := (- #29) #53 := (- #40) #63 := (mod #53 #54) @@ -20497,589 +19069,599 @@ #67 := (if #44 #40 #66) #68 := (= #61 #67) #69 := (forall (vars (?v0 Int) (?v1 Int)) #68) -#198 := (iff #69 #197) -#195 := (iff #68 #194) -#192 := (= #67 #191) -#189 := (= #66 #188) -#186 := (= #65 #185) -#183 := (= #64 #180) -#177 := (- #174) -#181 := (= #177 #180) -#182 := [rewrite]: #181 -#178 := (= #64 #177) -#175 := (= #63 #174) -#156 := (= #54 #155) -#157 := [rewrite]: #156 -#153 := (= #53 #152) -#154 := [rewrite]: #153 -#176 := [monotonicity #154 #157]: #175 -#179 := [monotonicity #176]: #178 -#184 := [trans #179 #182]: #183 -#149 := (iff #51 #148) -#146 := (iff #50 #145) -#131 := (iff #47 #130) -#132 := [rewrite]: #131 -#138 := (iff #49 #137) -#142 := (iff #137 #137) -#140 := (iff #136 #136) -#141 := [rewrite]: #140 -#143 := [monotonicity #141]: #142 -#139 := [rewrite]: #138 -#144 := [trans #139 #143]: #138 -#147 := [monotonicity #144 #132]: #146 -#134 := (iff #48 #133) -#127 := (iff #46 #126) -#128 := [rewrite]: #127 -#135 := [monotonicity #128 #132]: #134 -#150 := [monotonicity #135 #147]: #149 -#187 := [monotonicity #150 #184]: #186 -#190 := [monotonicity #187]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [quant-intro #196]: #198 -#76 := [asserted]: #69 -#200 := [mp #76 #199]: #197 -#281 := [mp #200 #280]: #278 -#304 := [mp~ #281 #303]: #278 -#344 := [mp #304 #343]: #341 -#375 := [mp #344 #374]: #372 -#822 := [mp #375 #821]: #817 -#609 := (not #817) -#616 := (or #609 #648) -#481 := (* -1::Int 1::Int) -#675 := (mod #759 #481) -#686 := (+ #18 #675) -#664 := (= #686 0::Int) -#706 := (mod #11 1::Int) -#683 := (* -1::Int #706) -#684 := (+ #18 #683) -#685 := (= #684 0::Int) -#775 := (<= 1::Int 0::Int) -#763 := (or #762 #775) -#485 := (not #763) -#773 := (or #415 #775) -#776 := (not #773) -#486 := (or #776 #485) -#665 := (if #486 #685 #664) -#667 := (if #429 #682 #665) -#681 := (= #18 #11) -#430 := (= 1::Int 0::Int) -#668 := (if #430 #681 #667) -#575 := (or #609 #668) -#608 := (iff #575 #616) -#617 := (iff #616 #616) -#619 := [rewrite]: #617 -#635 := (iff #668 #648) -#579 := (if false #681 #648) -#639 := (iff #579 #648) -#640 := [rewrite]: #639 -#634 := (iff #668 #579) -#653 := (iff #667 #648) -#651 := (iff #665 #650) -#646 := (iff #664 #645) -#644 := (= #686 #643) -#531 := (= #675 #709) -#572 := (= #481 -1::Int) -#725 := [rewrite]: #572 -#642 := [monotonicity #725]: #531 -#649 := [monotonicity #642]: #644 -#647 := [monotonicity #649]: #646 -#637 := (iff #685 #682) -#663 := (= #684 #18) -#659 := (+ #18 0::Int) -#662 := (= #659 #18) -#657 := [rewrite]: #662 -#660 := (= #684 #659) -#655 := (= #683 0::Int) -#671 := (* -1::Int 0::Int) -#658 := (= #671 0::Int) -#654 := [rewrite]: #658 -#666 := (= #683 #671) -#669 := (= #706 0::Int) -#670 := [rewrite]: #669 -#672 := [monotonicity #670]: #666 -#656 := [trans #672 #654]: #655 -#661 := [monotonicity #656]: #660 -#636 := [trans #661 #657]: #663 -#638 := [monotonicity #636]: #637 -#569 := (iff #486 #740) -#739 := (iff #485 #738) -#731 := (iff #763 #762) -#592 := (or #762 false) -#736 := (iff #592 #762) -#737 := [rewrite]: #736 -#734 := (iff #763 #592) -#755 := (iff #775 false) -#744 := [rewrite]: #755 -#735 := [monotonicity #744]: #734 -#732 := [trans #735 #737]: #731 -#733 := [monotonicity #732]: #739 -#590 := (iff #776 #749) -#748 := (iff #773 #415) -#745 := (or #415 false) -#742 := (iff #745 #415) -#747 := [rewrite]: #742 -#746 := (iff #773 #745) -#741 := [monotonicity #744]: #746 -#743 := [trans #741 #747]: #748 -#591 := [monotonicity #743]: #590 -#571 := [monotonicity #591 #733]: #569 -#652 := [monotonicity #571 #638 #647]: #651 -#633 := [monotonicity #652]: #653 -#472 := (iff #430 false) -#473 := [rewrite]: #472 -#615 := [monotonicity #473 #633]: #634 -#641 := [trans #615 #640]: #635 -#610 := [monotonicity #641]: #608 -#620 := [trans #610 #619]: #608 -#606 := [quant-inst #11 #13]: #575 -#621 := [mp #606 #620]: #616 -#434 := [unit-resolution #621 #822]: #648 -#603 := (not #648) -#604 := (or #603 #692 #682) -#589 := [def-axiom]: #604 -#543 := [unit-resolution #589 #434]: #538 -#546 := [unit-resolution #543 #539]: #682 -#597 := (not #682) -#419 := (or #597 #611) -#422 := [th-lemma arith triangle-eq]: #419 -#525 := [unit-resolution #422 #546]: #611 -#705 := (>= #14 0::Int) -#487 := (div #11 1::Int) -#488 := (* -1::Int #487) -#549 := (+ #11 #488) -#548 := (= #549 0::Int) -#1 := true -#218 := [true-axiom]: true -#512 := (or false #548) -#524 := [th-lemma arith]: #512 -#501 := [unit-resolution #524 #218]: #548 -#532 := (<= #549 0::Int) -#441 := (not #532) -#503 := (not #705) -#504 := [hypothesis]: #503 -#382 := (+ #14 #488) -#708 := (>= #382 0::Int) -#758 := (= #382 0::Int) -#726 := (div #759 -1::Int) -#727 := (* -1::Int #726) -#613 := (+ #14 #727) -#721 := (= #613 0::Int) -#719 := (if #740 #758 #721) -#414 := (= #14 0::Int) -#676 := (not #414) -#505 := (or #676 #705) -#506 := [th-lemma arith triangle-eq]: #505 -#507 := [unit-resolution #506 #504]: #676 -#509 := (or #692 #414) -#622 := (if #429 #414 #719) +#256 := (iff #69 #253) +#226 := (if #51 #62 #221) +#229 := (if #43 0::Int #226) +#232 := (if #44 #40 #229) +#235 := (= #61 #232) +#238 := (forall (vars (?v0 Int) (?v1 Int)) #235) +#254 := (iff #238 #253) +#251 := (iff #235 #250) +#248 := (= #232 #247) +#245 := (= #229 #244) +#242 := (= #226 #241) +#197 := (iff #51 #196) +#194 := (iff #50 #193) +#184 := (iff #47 #183) +#185 := [rewrite]: #184 +#191 := (iff #49 #190) +#192 := [rewrite]: #191 +#195 := [monotonicity #192 #185]: #194 +#187 := (iff #48 #186) +#180 := (iff #46 #179) +#181 := [rewrite]: #180 +#188 := [monotonicity #181 #185]: #187 +#198 := [monotonicity #188 #195]: #197 +#243 := [monotonicity #198]: #242 +#246 := [monotonicity #243]: #245 +#249 := [monotonicity #246]: #248 +#252 := [monotonicity #249]: #251 +#255 := [quant-intro #252]: #254 +#239 := (iff #69 #238) +#236 := (iff #68 #235) +#233 := (= #67 #232) +#230 := (= #66 #229) +#227 := (= #65 #226) +#224 := (= #64 #221) +#218 := (- #215) +#222 := (= #218 #221) +#223 := [rewrite]: #222 +#219 := (= #64 #218) +#216 := (= #63 #215) +#161 := (= #54 #160) +#162 := [rewrite]: #161 +#158 := (= #53 #157) +#159 := [rewrite]: #158 +#217 := [monotonicity #159 #162]: #216 +#220 := [monotonicity #217]: #219 +#225 := [trans #220 #223]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [monotonicity #231]: #233 +#237 := [monotonicity #234]: #236 +#240 := [quant-intro #237]: #239 +#257 := [trans #240 #255]: #256 +#214 := [asserted]: #69 +#258 := [mp #214 #257]: #253 +#286 := [mp~ #258 #271]: #253 +#324 := [mp #286 #323]: #321 +#355 := [mp #324 #354]: #352 +#863 := [mp #355 #862]: #858 +#657 := (not #858) +#616 := (or #657 #694) +#523 := (* -1::Int 1::Int) +#727 := (mod #522 #523) +#705 := (+ #18 #727) +#706 := (= #705 0::Int) +#748 := (mod #11 1::Int) +#725 := (* -1::Int #748) +#726 := (+ #18 #725) +#716 := (= #726 0::Int) +#814 := (<= 1::Int 0::Int) +#526 := (or #804 #814) +#527 := (not #526) +#817 := (or #816 #814) +#803 := (not #817) +#528 := (or #803 #527) +#708 := (if #528 #716 #706) +#709 := (if #471 #724 #708) +#723 := (= #18 #11) +#807 := (= 1::Int 0::Int) +#710 := (if #807 #723 #709) +#647 := (or #657 #710) +#651 := (iff #647 #616) +#660 := (iff #616 #616) +#661 := [rewrite]: #660 +#682 := (iff #710 #694) +#675 := (if false #723 #694) +#681 := (iff #675 #694) +#676 := [rewrite]: #681 +#656 := (iff #710 #675) +#674 := (iff #709 #694) +#693 := (iff #708 #692) +#688 := (iff #706 #687) +#690 := (= #705 #685) +#683 := (= #727 #744) +#766 := (= #523 -1::Int) +#767 := [rewrite]: #766 +#684 := [monotonicity #767]: #683 +#686 := [monotonicity #684]: #690 +#691 := [monotonicity #686]: #688 +#679 := (iff #716 #724) +#677 := (= #726 #18) +#701 := (+ #18 0::Int) +#698 := (= #701 #18) +#704 := [rewrite]: #698 +#702 := (= #726 #701) +#697 := (= #725 0::Int) +#707 := (* -1::Int 0::Int) +#695 := (= #707 0::Int) +#696 := [rewrite]: #695 +#713 := (= #725 #707) +#711 := (= #748 0::Int) +#712 := [rewrite]: #711 +#699 := [monotonicity #712]: #713 +#700 := [trans #699 #696]: #697 +#703 := [monotonicity #700]: #702 +#678 := [trans #703 #704]: #677 +#572 := [monotonicity #678]: #679 +#612 := (iff #528 #610) +#774 := (iff #527 #780) +#773 := (iff #526 #804) +#775 := (or #804 false) +#778 := (iff #775 #804) +#772 := [rewrite]: #778 +#776 := (iff #526 #775) +#785 := (iff #814 false) +#786 := [rewrite]: #785 +#777 := [monotonicity #786]: #776 +#779 := [trans #777 #772]: #773 +#781 := [monotonicity #779]: #774 +#632 := (iff #803 #631) +#784 := (iff #817 #816) +#787 := (or #816 false) +#788 := (iff #787 #816) +#789 := [rewrite]: #788 +#782 := (iff #817 #787) +#783 := [monotonicity #786]: #782 +#790 := [trans #783 #789]: #784 +#633 := [monotonicity #790]: #632 +#613 := [monotonicity #633 #781]: #612 +#689 := [monotonicity #613 #572 #691]: #693 +#620 := [monotonicity #689]: #674 +#514 := (iff #807 false) +#515 := [rewrite]: #514 +#680 := [monotonicity #515 #620]: #656 +#650 := [trans #680 #676]: #682 +#658 := [monotonicity #650]: #651 +#662 := [trans #658 #661]: #651 +#649 := [quant-inst #11 #13]: #647 +#672 := [mp #649 #662]: #616 +#476 := [unit-resolution #672 #863]: #694 +#645 := (not #694) +#630 := (or #645 #730 #724) +#646 := [def-axiom]: #630 +#910 := [unit-resolution #646 #476]: #907 +#881 := [unit-resolution #910 #906]: #724 +#639 := (not #724) +#463 := (or #639 #673) +#451 := [th-lemma arith triangle-eq]: #463 +#882 := [unit-resolution #451 #881]: #673 +#743 := (>= #14 0::Int) +#529 := (div #11 1::Int) +#423 := (* -1::Int #529) +#586 := (+ #11 #423) +#590 := (= #586 0::Int) +#1 := true +#87 := [true-axiom]: true +#565 := (or false #590) +#542 := [th-lemma arith]: #565 +#544 := [unit-resolution #542 #87]: #590 +#574 := (<= #586 0::Int) +#495 := (not #574) +#545 := (not #743) +#546 := [hypothesis]: #545 +#799 := (+ #14 #423) +#750 := (>= #799 0::Int) +#800 := (= #799 0::Int) +#769 := (div #522 -1::Int) +#771 := (* -1::Int #769) +#655 := (+ #14 #771) +#664 := (= #655 0::Int) +#763 := (if #610 #800 #664) +#456 := (= #14 0::Int) +#718 := (not #456) +#547 := (or #718 #743) +#548 := [th-lemma arith triangle-eq]: #547 +#549 := [unit-resolution #548 #546]: #718 +#543 := (or #730 #456) +#665 := (if #471 #456 #763) #41 := (f7 f8 #40) #42 := (f6 #41 #29) -#809 := (pattern #42) -#158 := (div #152 #155) -#349 := (* -1::Int #158) -#350 := (+ #42 #349) -#351 := (= #350 0::Int) +#850 := (pattern #42) +#163 := (div #157 #160) +#329 := (* -1::Int #163) +#330 := (+ #42 #329) +#331 := (= #330 0::Int) #52 := (div #40 #29) -#346 := (* -1::Int #52) -#347 := (+ #42 #346) -#348 := (= #347 0::Int) -#352 := (if #313 #348 #351) -#345 := (= #42 0::Int) +#326 := (* -1::Int #52) +#327 := (+ #42 #326) +#328 := (= #327 0::Int) +#332 := (if #293 #328 #331) +#325 := (= #42 0::Int) #45 := (or #43 #44) -#353 := (if #45 #345 #352) -#810 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #809) #353) -#356 := (forall (vars (?v0 Int) (?v1 Int)) #353) -#813 := (iff #356 #810) -#811 := (iff #353 #353) -#812 := [refl]: #811 -#814 := [quant-intro #812]: #813 -#316 := (if #313 #52 #158) -#319 := (if #45 0::Int #316) -#322 := (= #42 #319) -#325 := (forall (vars (?v0 Int) (?v1 Int)) #322) -#357 := (iff #325 #356) -#354 := (iff #322 #353) -#355 := [rewrite]: #354 -#358 := [quant-intro #355]: #357 -#253 := (if #250 #52 #158) -#256 := (if #45 0::Int #253) -#259 := (= #42 #256) -#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) -#326 := (iff #262 #325) -#323 := (iff #259 #322) -#320 := (= #256 #319) -#317 := (= #253 #316) -#318 := [monotonicity #315]: #317 -#321 := [monotonicity #318]: #320 -#324 := [monotonicity #321]: #323 -#327 := [quant-intro #324]: #326 -#297 := (~ #262 #262) -#295 := (~ #259 #259) -#296 := [refl]: #295 -#298 := [nnf-pos #296]: #297 -#161 := (if #148 #52 #158) -#164 := (if #45 0::Int #161) -#167 := (= #42 #164) -#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) -#263 := (iff #170 #262) -#260 := (iff #167 #259) -#257 := (= #164 #256) -#254 := (= #161 #253) -#255 := [monotonicity #252]: #254 -#258 := [monotonicity #255]: #257 -#261 := [monotonicity #258]: #260 -#264 := [quant-intro #261]: #263 +#333 := (if #45 #325 #332) +#851 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #850) #333) +#336 := (forall (vars (?v0 Int) (?v1 Int)) #333) +#854 := (iff #336 #851) +#852 := (iff #333 #333) +#853 := [refl]: #852 +#855 := [quant-intro #853]: #854 +#296 := (if #293 #52 #163) +#299 := (if #45 0::Int #296) +#302 := (= #42 #299) +#305 := (forall (vars (?v0 Int) (?v1 Int)) #302) +#337 := (iff #305 #336) +#334 := (iff #302 #333) +#335 := [rewrite]: #334 +#338 := [quant-intro #335]: #337 +#199 := (if #196 #52 #163) +#202 := (if #45 0::Int #199) +#205 := (= #42 #202) +#208 := (forall (vars (?v0 Int) (?v1 Int)) #205) +#306 := (iff #208 #305) +#303 := (iff #205 #302) +#300 := (= #202 #299) +#297 := (= #199 #296) +#298 := [monotonicity #295]: #297 +#301 := [monotonicity #298]: #300 +#304 := [monotonicity #301]: #303 +#307 := [quant-intro #304]: #306 +#268 := (~ #208 #208) +#281 := (~ #205 #205) +#282 := [refl]: #281 +#269 := [nnf-pos #282]: #268 #55 := (div #53 #54) #56 := (if #51 #52 #55) #57 := (if #45 0::Int #56) #58 := (= #42 #57) #59 := (forall (vars (?v0 Int) (?v1 Int)) #58) -#171 := (iff #59 #170) -#168 := (iff #58 #167) -#165 := (= #57 #164) -#162 := (= #56 #161) -#159 := (= #55 #158) -#160 := [monotonicity #154 #157]: #159 -#163 := [monotonicity #150 #160]: #162 -#166 := [monotonicity #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [quant-intro #169]: #171 -#75 := [asserted]: #59 -#173 := [mp #75 #172]: #170 -#265 := [mp #173 #264]: #262 -#299 := [mp~ #265 #298]: #262 -#328 := [mp #299 #327]: #325 -#359 := [mp #328 #358]: #356 -#815 := [mp #359 #814]: #810 -#618 := (not #810) -#626 := (or #618 #622) -#482 := (div #759 #481) -#756 := (* -1::Int #482) -#760 := (+ #14 #756) -#757 := (= #760 0::Int) -#761 := (if #486 #758 #757) -#774 := (or #429 #430) -#471 := (if #774 #414 #761) -#627 := (or #618 #471) -#629 := (iff #627 #626) -#723 := (iff #626 #626) -#720 := [rewrite]: #723 -#624 := (iff #471 #622) -#722 := (iff #761 #719) -#623 := (iff #757 #721) -#614 := (= #760 #613) -#730 := (= #756 #727) -#728 := (= #482 #726) -#729 := [monotonicity #725]: #728 -#612 := [monotonicity #729]: #730 -#573 := [monotonicity #612]: #614 -#718 := [monotonicity #573]: #623 -#607 := [monotonicity #571 #718]: #722 -#754 := (iff #774 #429) -#474 := (or #429 false) -#468 := (iff #474 #429) -#750 := [rewrite]: #468 -#752 := (iff #774 #474) -#753 := [monotonicity #473]: #752 -#751 := [trans #753 #750]: #754 -#625 := [monotonicity #751 #607]: #624 -#630 := [monotonicity #625]: #629 -#724 := [trans #630 #720]: #629 -#628 := [quant-inst #11 #13]: #627 -#711 := [mp #628 #724]: #626 -#508 := [unit-resolution #711 #815]: #622 -#691 := (not #622) -#689 := (or #691 #692 #414) -#693 := [def-axiom]: #689 -#502 := [unit-resolution #693 #508]: #509 -#510 := [unit-resolution #502 #507]: #692 -#495 := (or #429 #719) -#673 := (or #691 #429 #719) -#674 := [def-axiom]: #673 -#496 := [unit-resolution #674 #508]: #495 -#497 := [unit-resolution #496 #510]: #719 -#578 := (f9 f10 #376) -#580 := (= #578 0::Int) -#492 := (not #580) -#493 := (iff #692 #492) -#491 := (iff #429 #580) -#489 := (iff #580 #429) -#498 := (= #578 #11) -#460 := (= #376 f3) -#464 := (or #453 #460) -#465 := [quant-inst #7]: #464 -#499 := [unit-resolution #465 #795]: #460 -#500 := [monotonicity #499]: #498 -#490 := [monotonicity #500]: #489 -#483 := [symm #490]: #491 -#484 := [monotonicity #483]: #493 -#494 := [mp #510 #484]: #492 -#581 := (or #762 #580) +#211 := (iff #59 #208) +#166 := (if #51 #52 #163) +#169 := (if #45 0::Int #166) +#172 := (= #42 #169) +#175 := (forall (vars (?v0 Int) (?v1 Int)) #172) +#209 := (iff #175 #208) +#206 := (iff #172 #205) +#203 := (= #169 #202) +#200 := (= #166 #199) +#201 := [monotonicity #198]: #200 +#204 := [monotonicity #201]: #203 +#207 := [monotonicity #204]: #206 +#210 := [quant-intro #207]: #209 +#176 := (iff #59 #175) +#173 := (iff #58 #172) +#170 := (= #57 #169) +#167 := (= #56 #166) +#164 := (= #55 #163) +#165 := [monotonicity #159 #162]: #164 +#168 := [monotonicity #165]: #167 +#171 := [monotonicity #168]: #170 +#174 := [monotonicity #171]: #173 +#177 := [quant-intro #174]: #176 +#212 := [trans #177 #210]: #211 +#155 := [asserted]: #59 +#213 := [mp #155 #212]: #208 +#283 := [mp~ #213 #269]: #208 +#308 := [mp #283 #307]: #305 +#339 := [mp #308 #338]: #336 +#856 := [mp #339 #855]: #851 +#667 := (not #851) +#668 := (or #667 #665) +#797 := (div #522 #523) +#801 := (* -1::Int #797) +#798 := (+ #14 #801) +#802 := (= #798 0::Int) +#512 := (if #528 #800 #802) +#455 := (or #471 #807) +#513 := (if #455 #456 #512) +#669 := (or #667 #513) +#671 := (iff #669 #668) +#761 := (iff #668 #668) +#765 := [rewrite]: #761 +#666 := (iff #513 #665) +#648 := (iff #512 #763) +#759 := (iff #802 #664) +#614 := (= #798 #655) +#653 := (= #801 #771) +#770 := (= #797 #769) +#768 := [monotonicity #767]: #770 +#654 := [monotonicity #768]: #653 +#762 := [monotonicity #654]: #614 +#760 := [monotonicity #762]: #759 +#663 := [monotonicity #613 #760]: #648 +#792 := (iff #455 #471) +#793 := (or #471 false) +#791 := (iff #793 #471) +#795 := [rewrite]: #791 +#794 := (iff #455 #793) +#509 := [monotonicity #515]: #794 +#796 := [trans #509 #795]: #792 +#659 := [monotonicity #796 #663]: #666 +#764 := [monotonicity #659]: #671 +#752 := [trans #764 #765]: #671 +#670 := [quant-inst #11 #13]: #669 +#754 := [mp #670 #752]: #668 +#550 := [unit-resolution #754 #856]: #665 +#733 := (not #665) +#734 := (or #733 #730 #456) +#714 := [def-axiom]: #734 +#551 := [unit-resolution #714 #550]: #543 +#536 := [unit-resolution #551 #549]: #730 +#537 := (or #471 #763) +#715 := (or #733 #471 #763) +#717 := [def-axiom]: #715 +#538 := [unit-resolution #717 #550]: #537 +#540 := [unit-resolution #538 #536]: #763 +#621 := (f9 f10 #417) +#622 := (= #621 0::Int) +#534 := (not #622) +#525 := (iff #730 #534) +#524 := (iff #471 #622) +#531 := (iff #622 #471) +#541 := (= #621 #11) +#501 := (= #417 f3) +#505 := (or #494 #501) +#506 := [quant-inst #7]: #505 +#539 := [unit-resolution #506 #836]: #501 +#530 := [monotonicity #539]: #541 +#532 := [monotonicity #530]: #531 +#533 := [symm #532]: #524 +#535 := [monotonicity #533]: #525 +#516 := [mp #536 #535]: #534 +#623 := (or #804 #622) #31 := (f4 f5 #29) -#796 := (pattern #31) +#837 := (pattern #31) #32 := (f9 f10 #31) #37 := (= #32 0::Int) -#221 := (>= #29 0::Int) -#234 := (or #221 #37) -#803 := (forall (vars (?v0 Int)) (:pat #796) #234) -#237 := (forall (vars (?v0 Int)) #234) -#806 := (iff #237 #803) -#804 := (iff #234 #234) -#805 := [refl]: #804 -#807 := [quant-intro #805]: #806 -#288 := (~ #237 #237) -#286 := (~ #234 #234) -#287 := [refl]: #286 -#289 := [nnf-pos #287]: #288 -#30 := (<= 0::Int #29) -#116 := (or #30 #37) -#121 := (forall (vars (?v0 Int)) #116) -#238 := (iff #121 #237) -#235 := (iff #116 #234) -#222 := (iff #30 #221) -#223 := [rewrite]: #222 -#236 := [monotonicity #223]: #235 -#239 := [quant-intro #236]: #238 +#116 := (>= #29 0::Int) +#146 := (or #116 #37) +#844 := (forall (vars (?v0 Int)) (:pat #837) #146) +#149 := (forall (vars (?v0 Int)) #146) +#847 := (iff #149 #844) +#845 := (iff #146 #146) +#846 := [refl]: #845 +#848 := [quant-intro #846]: #847 +#266 := (~ #149 #149) +#278 := (~ #146 #146) +#279 := [refl]: #278 +#267 := [nnf-pos #279]: #266 #36 := (< #29 0::Int) #38 := (implies #36 #37) #39 := (forall (vars (?v0 Int)) #38) -#122 := (iff #39 #121) -#119 := (iff #38 #116) -#99 := (not #30) -#113 := (implies #99 #37) -#117 := (iff #113 #116) -#118 := [rewrite]: #117 -#114 := (iff #38 #113) -#108 := (iff #36 #99) -#110 := (iff #99 #99) -#95 := (iff #30 #30) -#96 := [rewrite]: #95 -#111 := [monotonicity #96]: #110 -#109 := [rewrite]: #108 -#112 := [trans #109 #111]: #108 -#115 := [monotonicity #112]: #114 -#120 := [trans #115 #118]: #119 -#123 := [quant-intro #120]: #122 -#74 := [asserted]: #39 -#124 := [mp #74 #123]: #121 -#240 := [mp #124 #239]: #237 -#294 := [mp~ #240 #289]: #237 -#808 := [mp #294 #807]: #803 -#766 := (not #803) -#584 := (or #766 #762 #580) -#585 := (or #766 #581) -#586 := (iff #585 #584) -#556 := [rewrite]: #586 -#568 := [quant-inst #11]: #585 -#557 := [mp #568 #556]: #584 -#475 := [unit-resolution #557 #808]: #581 -#476 := [unit-resolution #475 #494]: #762 -#477 := (or #429 #749 #738) -#469 := [th-lemma arith triangle-eq]: #477 -#478 := [unit-resolution #469 #510]: #740 -#479 := [unit-resolution #478 #476]: #749 -#702 := (or #740 #415) -#704 := [def-axiom]: #702 -#470 := [unit-resolution #704 #479]: #740 -#694 := (not #719) -#695 := (or #694 #716 #758) -#697 := [def-axiom]: #695 -#480 := [unit-resolution #697 #470 #497]: #758 -#700 := (not #758) -#447 := (or #700 #708) -#449 := [th-lemma arith triangle-eq]: #447 -#450 := [unit-resolution #449 #480]: #708 -#454 := (not #708) -#455 := (or #441 #738 #705 #454) -#456 := [th-lemma arith assign-bounds 1 1 -1]: #455 -#457 := [unit-resolution #456 #476 #450 #504]: #441 -#458 := (not #548) -#448 := (or #458 #532) -#459 := [th-lemma arith triangle-eq]: #448 -#442 := [unit-resolution #459 #457 #501]: false -#444 := [lemma #442]: #705 -#440 := (* -1::Int #466) -#570 := (+ #14 #18 #440) -#423 := (<= #570 0::Int) -#783 := (= #570 0::Int) -#461 := (>= #82 0::Int) -#545 := (not #611) -#550 := (or #461 #503 #545) -#540 := [th-lemma arith assign-bounds 1 -1]: #550 -#530 := [unit-resolution #540 #525 #444]: #461 -#462 := (not #461) -#777 := (or #462 #783) +#152 := (iff #39 #149) +#130 := (not #36) +#131 := (or #130 #37) +#134 := (forall (vars (?v0 Int)) #131) +#150 := (iff #134 #149) +#147 := (iff #131 #146) +#144 := (iff #130 #116) +#117 := (not #116) +#139 := (not #117) +#142 := (iff #139 #116) +#143 := [rewrite]: #142 +#140 := (iff #130 #139) +#137 := (iff #36 #117) +#138 := [rewrite]: #137 +#141 := [monotonicity #138]: #140 +#145 := [trans #141 #143]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#135 := (iff #39 #134) +#132 := (iff #38 #131) +#133 := [rewrite]: #132 +#136 := [quant-intro #133]: #135 +#153 := [trans #136 #151]: #152 +#129 := [asserted]: #39 +#154 := [mp #129 #153]: #149 +#280 := [mp~ #154 #267]: #149 +#849 := [mp #280 #848]: #844 +#808 := (not #844) +#626 := (or #808 #804 #622) +#609 := (or #808 #623) +#597 := (iff #609 #626) +#598 := [rewrite]: #597 +#627 := [quant-inst #11]: #609 +#599 := [mp #627 #598]: #626 +#517 := [unit-resolution #599 #849]: #623 +#518 := [unit-resolution #517 #516]: #804 +#510 := (or #471 #631 #780) +#519 := [th-lemma arith triangle-eq]: #510 +#520 := [unit-resolution #519 #536]: #610 +#511 := [unit-resolution #520 #518]: #631 +#745 := (or #610 #816) +#755 := [def-axiom]: #745 +#521 := [unit-resolution #755 #511]: #610 +#736 := (not #763) +#738 := (or #736 #753 #800) +#739 := [def-axiom]: #738 +#488 := [unit-resolution #739 #521 #540]: #800 +#737 := (not #800) +#490 := (or #737 #750) +#491 := [th-lemma arith triangle-eq]: #490 +#482 := [unit-resolution #491 #488]: #750 +#496 := (not #750) +#497 := (or #495 #780 #743 #496) +#498 := [th-lemma arith assign-bounds 1 1 -1]: #497 +#499 := [unit-resolution #498 #518 #482 #546]: #495 +#489 := (not #590) +#500 := (or #489 #574) +#483 := [th-lemma arith triangle-eq]: #500 +#485 := [unit-resolution #483 #499 #544]: false +#486 := [lemma #485]: #743 +#611 := (* -1::Int #507) +#818 := (+ #18 #611) +#492 := (+ #14 #818) +#805 := (<= #492 0::Int) +#824 := (= #492 0::Int) +#502 := (>= #92 0::Int) +#915 := (not #673) +#916 := (or #502 #545 #915) +#917 := [th-lemma arith assign-bounds 1 -1]: #916 +#918 := [unit-resolution #917 #882 #486]: #502 +#503 := (not #502) +#481 := (or #503 #824) #33 := (= #32 #29) -#224 := (not #221) -#227 := (or #224 #33) -#797 := (forall (vars (?v0 Int)) (:pat #796) #227) -#230 := (forall (vars (?v0 Int)) #227) -#800 := (iff #230 #797) -#798 := (iff #227 #227) -#799 := [refl]: #798 -#801 := [quant-intro #799]: #800 -#291 := (~ #230 #230) -#285 := (~ #227 #227) -#290 := [refl]: #285 -#292 := [nnf-pos #290]: #291 -#100 := (or #99 #33) -#104 := (forall (vars (?v0 Int)) #100) -#231 := (iff #104 #230) -#228 := (iff #100 #227) -#225 := (iff #99 #224) -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [quant-intro #229]: #231 +#120 := (or #117 #33) +#838 := (forall (vars (?v0 Int)) (:pat #837) #120) +#123 := (forall (vars (?v0 Int)) #120) +#841 := (iff #123 #838) +#839 := (iff #120 #120) +#840 := [refl]: #839 +#842 := [quant-intro #840]: #841 +#264 := (~ #123 #123) +#263 := (~ #120 #120) +#260 := [refl]: #263 +#265 := [nnf-pos #260]: #264 +#30 := (<= 0::Int #29) #34 := (implies #30 #33) #35 := (forall (vars (?v0 Int)) #34) -#105 := (iff #35 #104) -#101 := (iff #34 #100) -#102 := [rewrite]: #101 -#97 := (iff #34 #34) -#98 := [monotonicity #96]: #97 -#103 := [trans #98 #102]: #101 -#106 := [quant-intro #103]: #105 -#73 := [asserted]: #35 -#107 := [mp #73 #106]: #104 -#233 := [mp #107 #232]: #230 -#293 := [mp~ #233 #292]: #230 -#802 := [mp #293 #801]: #797 -#784 := (not #797) -#785 := (or #784 #462 #783) -#463 := (= #466 #82) -#467 := (or #462 #463) -#786 := (or #784 #467) -#779 := (iff #786 #785) -#782 := (or #784 #777) -#438 := (iff #782 #785) -#443 := [rewrite]: #438 -#788 := (iff #786 #782) -#451 := (iff #467 #777) -#781 := (iff #463 #783) -#446 := [rewrite]: #781 -#452 := [monotonicity #446]: #451 -#778 := [monotonicity #452]: #788 -#439 := [trans #778 #443]: #779 -#787 := [quant-inst #82]: #786 -#780 := [mp #787 #439]: #785 -#522 := [unit-resolution #780 #802]: #777 -#523 := [unit-resolution #522 #530]: #783 -#564 := (not #783) -#511 := (or #564 #423) -#560 := [th-lemma arith triangle-eq]: #511 -#565 := [unit-resolution #560 #523]: #423 -#544 := (not #423) -#432 := (or #772 #503 #545 #544) -#547 := [th-lemma arith assign-bounds 1 -1 1]: #432 -#433 := [unit-resolution #547 #565 #444 #525]: #772 -#409 := (<= #466 0::Int) -#631 := (<= #18 0::Int) -#418 := (or #597 #631) -#420 := [th-lemma arith triangle-eq]: #418 -#391 := [unit-resolution #420 #546]: #631 -#713 := (<= #14 0::Int) -#394 := [unit-resolution #502 #539]: #414 -#388 := (or #676 #713) -#542 := [th-lemma arith triangle-eq]: #388 -#527 := [unit-resolution #542 #394]: #713 -#764 := (>= #570 0::Int) -#521 := (or #564 #764) -#515 := [th-lemma arith triangle-eq]: #521 -#528 := [unit-resolution #515 #523]: #764 -#529 := (not #764) -#526 := (not #631) -#554 := (not #713) -#513 := (or #409 #554 #526 #529) -#514 := [th-lemma arith assign-bounds -1 -1 1]: #513 -#516 := [unit-resolution #514 #528 #527 #391]: #409 -#518 := (not #772) -#517 := (not #409) -#519 := (or #427 #517 #518) -#520 := [th-lemma arith triangle-eq]: #519 -#552 := [unit-resolution #520 #516 #433]: #427 -#534 := [trans #552 #553]: #536 -#377 := [monotonicity #534]: #390 -#537 := [symm #377]: #379 -#399 := (= f3 #376) -#400 := [symm #499]: #399 -#824 := [trans #400 #537]: #541 -#825 := [trans #824 #535]: #88 -#91 := (not #88) +#126 := (iff #35 #123) +#107 := (not #30) +#108 := (or #107 #33) +#111 := (forall (vars (?v0 Int)) #108) +#124 := (iff #111 #123) +#121 := (iff #108 #120) +#118 := (iff #107 #117) +#114 := (iff #30 #116) +#115 := [rewrite]: #114 +#119 := [monotonicity #115]: #118 +#122 := [monotonicity #119]: #121 +#125 := [quant-intro #122]: #124 +#112 := (iff #35 #111) +#109 := (iff #34 #108) +#110 := [rewrite]: #109 +#113 := [quant-intro #110]: #112 +#127 := [trans #113 #125]: #126 +#105 := [asserted]: #35 +#128 := [mp #105 #127]: #123 +#261 := [mp~ #128 #265]: #123 +#843 := [mp #261 #842]: #838 +#826 := (not #838) +#827 := (or #826 #503 #824) +#504 := (= #507 #92) +#508 := (or #503 #504) +#828 := (or #826 #508) +#480 := (iff #828 #827) +#829 := (or #826 #481) +#484 := (iff #829 #827) +#820 := [rewrite]: #484 +#819 := (iff #828 #829) +#493 := (iff #508 #481) +#822 := (iff #504 #824) +#487 := [rewrite]: #822 +#825 := [monotonicity #487]: #493 +#479 := [monotonicity #825]: #819 +#821 := [trans #479 #820]: #480 +#823 := [quant-inst #92]: #828 +#464 := [mp #823 #821]: #827 +#919 := [unit-resolution #464 #843]: #481 +#920 := [unit-resolution #919 #918]: #824 +#921 := (not #824) +#922 := (or #921 #805) +#923 := [th-lemma arith triangle-eq]: #922 +#924 := [unit-resolution #923 #920]: #805 +#925 := (not #805) +#926 := (or #815 #545 #915 #925) +#927 := [th-lemma arith assign-bounds 1 -1 1]: #926 +#928 := [unit-resolution #927 #924 #486 #882]: #815 +#813 := (<= #507 0::Int) +#652 := (<= #18 0::Int) +#461 := (or #639 #652) +#462 := [th-lemma arith triangle-eq]: #461 +#929 := [unit-resolution #462 #881]: #652 +#746 := (<= #14 0::Int) +#930 := [unit-resolution #551 #906]: #456 +#931 := (or #718 #746) +#932 := [th-lemma arith triangle-eq]: #931 +#933 := [unit-resolution #932 #930]: #746 +#468 := (>= #492 0::Int) +#934 := (or #921 #468) +#935 := [th-lemma arith triangle-eq]: #934 +#936 := [unit-resolution #935 #920]: #468 +#939 := (not #468) +#938 := (not #652) +#937 := (not #746) +#940 := (or #813 #937 #938 #939) +#941 := [th-lemma arith assign-bounds -1 -1 1]: #940 +#942 := [unit-resolution #941 #936 #933 #929]: #813 +#944 := (not #815) +#943 := (not #813) +#945 := (or #469 #943 #944) +#946 := [th-lemma arith triangle-eq]: #945 +#947 := [unit-resolution #946 #942 #928]: #469 +#951 := [trans #947 #949]: #950 +#956 := [monotonicity #951]: #955 +#958 := [symm #956]: #957 +#441 := (= f3 #417) +#434 := [symm #539]: #441 +#960 := [trans #434 #958]: #959 +#961 := [trans #960 #952]: #98 +#101 := (not #98) #15 := (* #14 1::Int) #19 := (+ #15 #18) #20 := (f4 f5 #19) #21 := (= f3 #20) #22 := (not #21) -#92 := (iff #22 #91) -#89 := (iff #21 #88) -#86 := (= #20 #85) -#83 := (= #19 #82) -#80 := (= #15 #14) -#81 := [rewrite]: #80 -#84 := [monotonicity #81]: #83 -#87 := [monotonicity #84]: #86 -#90 := [monotonicity #87]: #89 -#93 := [monotonicity #90]: #92 -#71 := [asserted]: #22 -#94 := [mp #71 #93]: #91 -#826 := [unit-resolution #94 #825]: false -#827 := [lemma #826]: #692 -#384 := (or #429 #716) -#393 := (= #376 #85) -#395 := (= #11 #82) -#412 := (= #14 #82) -#426 := [hypothesis]: #740 -#431 := [hypothesis]: #692 -#435 := (or #429 #650) -#605 := (or #603 #429 #650) -#566 := [def-axiom]: #605 -#436 := [unit-resolution #566 #434]: #435 -#425 := [unit-resolution #436 #431]: #650 -#588 := (not #650) -#593 := (or #588 #716 #682) -#594 := [def-axiom]: #593 -#437 := [unit-resolution #594 #425 #426]: #682 -#421 := [unit-resolution #420 #437]: #631 -#410 := [unit-resolution #422 #437]: #611 -#413 := [th-lemma arith eq-propagate -1 -1 #410 #421]: #412 -#403 := (= #11 #14) -#707 := (<= #382 0::Int) -#416 := [unit-resolution #496 #431]: #719 -#411 := [unit-resolution #697 #416 #426]: #758 -#417 := (or #700 #707) -#392 := [th-lemma arith triangle-eq]: #417 -#396 := [unit-resolution #392 #411]: #707 -#397 := [unit-resolution #449 #411]: #708 -#402 := [unit-resolution #459 #501]: #532 -#533 := (>= #549 0::Int) -#404 := (or #458 #533) -#405 := [th-lemma arith triangle-eq]: #404 -#407 := [unit-resolution #405 #501]: #533 -#408 := [th-lemma arith eq-propagate 1 1 -1 -1 #407 #402 #397 #396]: #403 -#398 := [trans #408 #413]: #395 -#401 := [monotonicity #398]: #393 -#386 := [trans #400 #401]: #88 -#383 := [unit-resolution #94 #386]: false -#387 := [lemma #383]: #384 -#389 := [unit-resolution #387 #827]: #716 -#381 := (or #429 #738) -#380 := [hypothesis]: #762 -#559 := [hypothesis]: #749 -#561 := [unit-resolution #704 #559]: #740 -#563 := [unit-resolution #387 #561]: #429 -#582 := (or #692 #415) -#583 := [th-lemma arith triangle-eq]: #582 -#558 := [unit-resolution #583 #563 #559]: false -#406 := [lemma #558]: #415 -#378 := [unit-resolution #469 #431 #406 #380]: false -#823 := [lemma #378]: #381 -#385 := [unit-resolution #823 #827]: #738 -#714 := (or #740 #762) -#715 := [def-axiom]: #714 -[unit-resolution #715 #385 #389]: false -727c827bb11139e8216aa2242907ab223b6a5c32 832 0 -unsat +#102 := (iff #22 #101) +#99 := (iff #21 #98) +#96 := (= #20 #95) +#93 := (= #19 #92) +#90 := (= #15 #14) +#91 := [rewrite]: #90 +#94 := [monotonicity #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#89 := [asserted]: #22 +#106 := [mp #89 #103]: #101 +#962 := [unit-resolution #106 #961]: false +#963 := [lemma #962]: #730 +#428 := (or #471 #753) +#442 := (= #417 #95) +#439 := (= #11 #92) +#454 := (= #14 #92) +#472 := [hypothesis]: #610 +#473 := [hypothesis]: #730 +#477 := (or #471 #692) +#607 := (or #645 #471 #692) +#608 := [def-axiom]: #607 +#466 := [unit-resolution #608 #476]: #477 +#478 := [unit-resolution #466 #473]: #692 +#634 := (not #692) +#635 := (or #634 #753 #724) +#636 := [def-axiom]: #635 +#459 := [unit-resolution #636 #478 #472]: #724 +#460 := [unit-resolution #462 #459]: #652 +#453 := [unit-resolution #451 #459]: #673 +#457 := [th-lemma arith eq-propagate -1 -1 #453 #460]: #454 +#449 := (= #11 #14) +#749 := (<= #799 0::Int) +#452 := [unit-resolution #538 #473]: #763 +#458 := [unit-resolution #739 #452 #472]: #800 +#433 := (or #737 #749) +#437 := [th-lemma arith triangle-eq]: #433 +#438 := [unit-resolution #437 #458]: #749 +#443 := [unit-resolution #491 #458]: #750 +#445 := [unit-resolution #483 #544]: #574 +#577 := (>= #586 0::Int) +#446 := (or #489 #577) +#448 := [th-lemma arith triangle-eq]: #446 +#444 := [unit-resolution #448 #544]: #577 +#432 := [th-lemma arith eq-propagate 1 1 -1 -1 #444 #445 #443 #438]: #449 +#440 := [trans #432 #457]: #439 +#427 := [monotonicity #440]: #442 +#424 := [trans #434 #427]: #98 +#425 := [unit-resolution #106 #424]: false +#429 := [lemma #425]: #428 +#953 := [unit-resolution #429 #963]: #753 +#913 := (or #471 #780) +#911 := [hypothesis]: #804 +#474 := [hypothesis]: #631 +#475 := [unit-resolution #755 #474]: #610 +#435 := [unit-resolution #429 #475]: #471 +#436 := (or #730 #816) +#430 := [th-lemma arith triangle-eq]: #436 +#426 := [unit-resolution #430 #435 #474]: false +#431 := [lemma #426]: #816 +#912 := [unit-resolution #519 #473 #431 #911]: false +#914 := [lemma #912]: #913 +#954 := [unit-resolution #914 #963]: #780 +#756 := (or #610 #804) +#757 := [def-axiom]: #756 +[unit-resolution #757 #954 #953]: false +unsat +b88eecece4a97949c3e182a0994557edf8a964b2 816 0 #2 := false #28 := 0::Int decl f9 :: (-> S6 S2 Int) @@ -21088,14 +19670,14 @@ decl f10 :: S6 #10 := f10 #11 := (f9 f10 f3) -#764 := (>= #11 0::Int) -#740 := (not #764) -#417 := (<= #11 0::Int) -#751 := (not #417) -#742 := (or #751 #740) -#714 := (not #742) -#431 := (= #11 0::Int) -#691 := (not #431) +#805 := (>= #11 0::Int) +#781 := (not #805) +#817 := (<= #11 0::Int) +#632 := (not #817) +#611 := (or #632 #781) +#759 := (not #611) +#472 := (= #11 0::Int) +#735 := (not #472) decl f4 :: (-> S3 Int S2) decl f6 :: (-> S4 Int Int) #13 := 3::Int @@ -21108,141 +19690,114 @@ #9 := f8 #12 := (f7 f8 #11) #14 := (f6 #12 3::Int) -#80 := (* 3::Int #14) -#83 := (+ #80 #18) +#90 := (* 3::Int #14) +#93 := (+ #90 #18) decl f5 :: S3 #8 := f5 -#86 := (f4 f5 #83) -#89 := (= f3 #86) -#377 := (f4 f5 #11) -#903 := (= #377 #86) -#901 := (= #86 #377) -#899 := (= #83 #11) -#895 := (= 0::Int #11) -#859 := [hypothesis]: #431 -#896 := [symm #859]: #895 -#897 := (= #83 0::Int) -#468 := (f9 f10 #86) -#429 := (= #468 0::Int) -#774 := (>= #468 0::Int) -#636 := (>= #18 0::Int) -#685 := (= #18 0::Int) -#840 := (or #691 #685) -#574 := -3::Int -#152 := -1::Int -#761 := (* -1::Int #11) -#705 := (mod #761 -3::Int) -#668 := (+ #18 #705) -#656 := (= #668 0::Int) -#709 := (mod #11 3::Int) -#686 := (* -1::Int #709) -#687 := (+ #18 #686) -#677 := (= #687 0::Int) -#661 := (if #742 #677 #656) -#664 := (if #431 #685 #661) +#96 := (f4 f5 #93) +#99 := (= f3 #96) +#418 := (f4 f5 #11) +#997 := (= #418 #96) +#995 := (= #96 #418) +#993 := (= #93 #11) +#989 := (= 0::Int #11) +#953 := [hypothesis]: #472 +#990 := [symm #953]: #989 +#991 := (= #93 0::Int) +#508 := (f9 f10 #96) +#470 := (= #508 0::Int) +#816 := (>= #508 0::Int) +#657 := (>= #18 0::Int) +#726 := (= #18 0::Int) +#954 := (or #735 #726) +#767 := -3::Int +#157 := -1::Int +#523 := (* -1::Int #11) +#752 := (mod #523 -3::Int) +#714 := (+ #18 #752) +#697 := (= #714 0::Int) +#750 := (mod #11 3::Int) +#727 := (* -1::Int #750) +#717 := (+ #18 #727) +#728 := (= #717 0::Int) +#702 := (if #611 #728 #697) +#699 := (if #472 #726 #702) #29 := (:var 0 Int) #40 := (:var 1 Int) #60 := (f7 f11 #40) #61 := (f6 #60 #29) -#818 := (pattern #61) -#156 := (* -1::Int #29) -#153 := (* -1::Int #40) -#175 := (mod #153 #156) -#366 := (+ #61 #175) -#367 := (= #366 0::Int) +#858 := (pattern #61) +#161 := (* -1::Int #29) +#158 := (* -1::Int #40) +#216 := (mod #158 #161) +#346 := (+ #61 #216) +#347 := (= #346 0::Int) #62 := (mod #40 #29) -#363 := (* -1::Int #62) -#364 := (+ #61 #363) -#365 := (= #364 0::Int) -#130 := (<= #29 0::Int) -#242 := (>= #40 0::Int) -#310 := (or #242 #130) -#311 := (not #310) -#126 := (<= #40 0::Int) -#306 := (or #126 #130) -#307 := (not #306) -#314 := (or #307 #311) -#368 := (if #314 #365 #367) -#362 := (= #61 0::Int) +#343 := (* -1::Int #62) +#344 := (+ #61 #343) +#345 := (= #344 0::Int) +#183 := (<= #29 0::Int) +#190 := (>= #40 0::Int) +#290 := (or #190 #183) +#291 := (not #290) +#179 := (<= #40 0::Int) +#288 := (or #179 #183) +#289 := (not #288) +#294 := (or #289 #291) +#348 := (if #294 #345 #347) +#342 := (= #61 0::Int) #43 := (= #40 0::Int) -#369 := (if #43 #362 #368) -#361 := (= #61 #40) +#349 := (if #43 #342 #348) +#341 := (= #61 #40) #44 := (= #29 0::Int) -#370 := (if #44 #361 #369) -#819 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #818) #370) -#373 := (forall (vars (?v0 Int) (?v1 Int)) #370) -#822 := (iff #373 #819) -#820 := (iff #370 #370) -#821 := [refl]: #820 -#823 := [quant-intro #821]: #822 -#181 := (* -1::Int #175) -#330 := (if #314 #62 #181) -#333 := (if #43 0::Int #330) -#336 := (if #44 #40 #333) -#339 := (= #61 #336) -#342 := (forall (vars (?v0 Int) (?v1 Int)) #339) -#374 := (iff #342 #373) -#371 := (iff #339 #370) -#372 := [rewrite]: #371 -#375 := [quant-intro #372]: #374 -#131 := (not #130) -#245 := (not #242) -#248 := (and #245 #131) -#127 := (not #126) -#134 := (and #127 #131) -#251 := (or #134 #248) -#267 := (if #251 #62 #181) -#270 := (if #43 0::Int #267) -#273 := (if #44 #40 #270) -#276 := (= #61 #273) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#343 := (iff #279 #342) -#340 := (iff #276 #339) -#337 := (= #273 #336) -#334 := (= #270 #333) -#331 := (= #267 #330) -#315 := (iff #251 #314) -#312 := (iff #248 #311) -#313 := [rewrite]: #312 -#308 := (iff #134 #307) -#309 := [rewrite]: #308 -#316 := [monotonicity #309 #313]: #315 -#332 := [monotonicity #316]: #331 -#335 := [monotonicity #332]: #334 -#338 := [monotonicity #335]: #337 -#341 := [monotonicity #338]: #340 -#344 := [quant-intro #341]: #343 -#303 := (~ #279 #279) -#301 := (~ #276 #276) -#302 := [refl]: #301 -#304 := [nnf-pos #302]: #303 -#137 := (<= 0::Int #40) -#138 := (not #137) -#146 := (and #138 #131) -#149 := (or #134 #146) -#186 := (if #149 #62 #181) -#189 := (if #43 0::Int #186) -#192 := (if #44 #40 #189) -#195 := (= #61 #192) -#198 := (forall (vars (?v0 Int) (?v1 Int)) #195) -#280 := (iff #198 #279) -#277 := (iff #195 #276) -#274 := (= #192 #273) -#271 := (= #189 #270) -#268 := (= #186 #267) -#252 := (iff #149 #251) -#249 := (iff #146 #248) -#246 := (iff #138 #245) -#243 := (iff #137 #242) -#244 := [rewrite]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [monotonicity #250]: #252 -#269 := [monotonicity #253]: #268 -#272 := [monotonicity #269]: #271 -#275 := [monotonicity #272]: #274 -#278 := [monotonicity #275]: #277 -#281 := [quant-intro #278]: #280 +#350 := (if #44 #341 #349) +#859 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #858) #350) +#353 := (forall (vars (?v0 Int) (?v1 Int)) #350) +#862 := (iff #353 #859) +#860 := (iff #350 #350) +#861 := [refl]: #860 +#863 := [quant-intro #861]: #862 +#222 := (* -1::Int #216) +#310 := (if #294 #62 #222) +#313 := (if #43 0::Int #310) +#316 := (if #44 #40 #313) +#319 := (= #61 #316) +#322 := (forall (vars (?v0 Int) (?v1 Int)) #319) +#354 := (iff #322 #353) +#351 := (iff #319 #350) +#352 := [rewrite]: #351 +#355 := [quant-intro #352]: #354 +#184 := (not #183) +#191 := (not #190) +#194 := (and #191 #184) +#180 := (not #179) +#187 := (and #180 #184) +#197 := (or #187 #194) +#242 := (if #197 #62 #222) +#245 := (if #43 0::Int #242) +#248 := (if #44 #40 #245) +#251 := (= #61 #248) +#254 := (forall (vars (?v0 Int) (?v1 Int)) #251) +#323 := (iff #254 #322) +#320 := (iff #251 #319) +#317 := (= #248 #316) +#314 := (= #245 #313) +#311 := (= #242 #310) +#295 := (iff #197 #294) +#292 := (iff #194 #291) +#293 := [rewrite]: #292 +#273 := (iff #187 #289) +#274 := [rewrite]: #273 +#296 := [monotonicity #274 #293]: #295 +#312 := [monotonicity #296]: #311 +#315 := [monotonicity #312]: #314 +#318 := [monotonicity #315]: #317 +#321 := [monotonicity #318]: #320 +#324 := [quant-intro #321]: #323 +#271 := (~ #254 #254) +#285 := (~ #251 #251) +#286 := [refl]: #285 +#272 := [nnf-pos #286]: #271 #54 := (- #29) #53 := (- #40) #63 := (mod #53 #54) @@ -21258,1192 +19813,1147 @@ #67 := (if #44 #40 #66) #68 := (= #61 #67) #69 := (forall (vars (?v0 Int) (?v1 Int)) #68) -#199 := (iff #69 #198) -#196 := (iff #68 #195) -#193 := (= #67 #192) -#190 := (= #66 #189) -#187 := (= #65 #186) -#184 := (= #64 #181) -#178 := (- #175) -#182 := (= #178 #181) -#183 := [rewrite]: #182 -#179 := (= #64 #178) -#176 := (= #63 #175) -#157 := (= #54 #156) -#158 := [rewrite]: #157 -#154 := (= #53 #153) -#155 := [rewrite]: #154 -#177 := [monotonicity #155 #158]: #176 -#180 := [monotonicity #177]: #179 -#185 := [trans #180 #183]: #184 -#150 := (iff #51 #149) -#147 := (iff #50 #146) -#132 := (iff #47 #131) -#133 := [rewrite]: #132 -#139 := (iff #49 #138) -#143 := (iff #138 #138) -#141 := (iff #137 #137) -#142 := [rewrite]: #141 -#144 := [monotonicity #142]: #143 -#140 := [rewrite]: #139 -#145 := [trans #140 #144]: #139 -#148 := [monotonicity #145 #133]: #147 -#135 := (iff #48 #134) -#128 := (iff #46 #127) -#129 := [rewrite]: #128 -#136 := [monotonicity #129 #133]: #135 -#151 := [monotonicity #136 #148]: #150 -#188 := [monotonicity #151 #185]: #187 -#191 := [monotonicity #188]: #190 -#194 := [monotonicity #191]: #193 -#197 := [monotonicity #194]: #196 -#200 := [quant-intro #197]: #199 -#76 := [asserted]: #69 -#201 := [mp #76 #200]: #198 -#282 := [mp #201 #281]: #279 -#305 := [mp~ #282 #304]: #279 -#345 := [mp #305 #344]: #342 -#376 := [mp #345 #375]: #373 -#824 := [mp #376 #823]: #819 -#651 := (not #819) -#647 := (or #651 #664) -#483 := (* -1::Int 3::Int) -#688 := (mod #761 #483) -#666 := (+ #18 #688) -#667 := (= #666 0::Int) -#777 := (<= 3::Int 0::Int) -#765 := (or #764 #777) -#487 := (not #765) -#775 := (or #417 #777) -#778 := (not #775) -#488 := (or #778 #487) -#669 := (if #488 #677 #667) -#670 := (if #431 #685 #669) -#684 := (= #18 #11) -#432 := (= 3::Int 0::Int) -#671 := (if #432 #684 #670) -#648 := (or #651 #671) -#652 := (iff #648 #647) -#654 := (iff #647 #647) -#650 := [rewrite]: #654 -#645 := (iff #671 #664) -#638 := (if false #684 #664) -#533 := (iff #638 #664) -#644 := [rewrite]: #533 -#639 := (iff #671 #638) -#659 := (iff #670 #664) -#662 := (iff #669 #661) -#657 := (iff #667 #656) -#674 := (= #666 #668) -#672 := (= #688 #705) -#727 := (= #483 -3::Int) -#728 := [rewrite]: #727 -#673 := [monotonicity #728]: #672 -#660 := [monotonicity #673]: #674 -#658 := [monotonicity #660]: #657 -#571 := (iff #488 #742) -#741 := (iff #487 #740) -#733 := (iff #765 #764) -#594 := (or #764 false) -#738 := (iff #594 #764) -#739 := [rewrite]: #738 -#736 := (iff #765 #594) -#757 := (iff #777 false) -#746 := [rewrite]: #757 -#737 := [monotonicity #746]: #736 -#734 := [trans #737 #739]: #733 -#735 := [monotonicity #734]: #741 -#592 := (iff #778 #751) -#750 := (iff #775 #417) -#747 := (or #417 false) -#744 := (iff #747 #417) -#749 := [rewrite]: #744 -#748 := (iff #775 #747) -#743 := [monotonicity #746]: #748 -#745 := [trans #743 #749]: #750 -#593 := [monotonicity #745]: #592 -#573 := [monotonicity #593 #735]: #571 -#663 := [monotonicity #573 #658]: #662 -#665 := [monotonicity #663]: #659 -#474 := (iff #432 false) -#475 := [rewrite]: #474 -#640 := [monotonicity #475 #665]: #639 -#646 := [trans #640 #644]: #645 -#653 := [monotonicity #646]: #652 -#655 := [trans #653 #650]: #652 -#649 := [quant-inst #11 #13]: #648 -#635 := [mp #649 #655]: #647 -#580 := [unit-resolution #635 #824]: #664 -#633 := (not #664) -#613 := (or #633 #691 #685) -#634 := [def-axiom]: #613 -#837 := [unit-resolution #634 #580]: #840 -#850 := [unit-resolution #837 #859]: #685 -#595 := (not #685) -#851 := (or #595 #636) -#838 := [th-lemma arith triangle-eq]: #851 -#839 := [unit-resolution #838 #850]: #636 -#704 := (>= #14 0::Int) -#489 := (div #11 3::Int) -#585 := (* -3::Int #489) -#586 := (+ #11 #585 #686) -#584 := (= #586 0::Int) -#1 := true -#219 := [true-axiom]: true -#539 := (or false #584) -#543 := [th-lemma arith]: #539 -#536 := [unit-resolution #543 #219]: #584 -#588 := (<= #586 0::Int) -#500 := (not #588) -#545 := (>= #709 3::Int) -#548 := (not #545) -#544 := (or false #548) -#537 := [th-lemma arith]: #544 -#540 := [unit-resolution #537 #219]: #548 -#541 := (not #704) -#527 := [hypothesis]: #541 -#490 := (* -1::Int #489) -#383 := (+ #14 #490) -#711 := (>= #383 0::Int) -#760 := (= #383 0::Int) -#730 := (div #761 -3::Int) -#732 := (* -1::Int #730) -#616 := (+ #14 #732) -#625 := (= #616 0::Int) -#724 := (if #742 #760 #625) -#416 := (= #14 0::Int) -#679 := (not #416) -#529 := (or #679 #704) -#530 := [th-lemma arith triangle-eq]: #529 -#528 := [unit-resolution #530 #527]: #679 -#513 := (or #691 #416) -#626 := (if #431 #416 #724) +#257 := (iff #69 #254) +#227 := (if #51 #62 #222) +#230 := (if #43 0::Int #227) +#233 := (if #44 #40 #230) +#236 := (= #61 #233) +#239 := (forall (vars (?v0 Int) (?v1 Int)) #236) +#255 := (iff #239 #254) +#252 := (iff #236 #251) +#249 := (= #233 #248) +#246 := (= #230 #245) +#243 := (= #227 #242) +#198 := (iff #51 #197) +#195 := (iff #50 #194) +#185 := (iff #47 #184) +#186 := [rewrite]: #185 +#192 := (iff #49 #191) +#193 := [rewrite]: #192 +#196 := [monotonicity #193 #186]: #195 +#188 := (iff #48 #187) +#181 := (iff #46 #180) +#182 := [rewrite]: #181 +#189 := [monotonicity #182 #186]: #188 +#199 := [monotonicity #189 #196]: #198 +#244 := [monotonicity #199]: #243 +#247 := [monotonicity #244]: #246 +#250 := [monotonicity #247]: #249 +#253 := [monotonicity #250]: #252 +#256 := [quant-intro #253]: #255 +#240 := (iff #69 #239) +#237 := (iff #68 #236) +#234 := (= #67 #233) +#231 := (= #66 #230) +#228 := (= #65 #227) +#225 := (= #64 #222) +#219 := (- #216) +#223 := (= #219 #222) +#224 := [rewrite]: #223 +#220 := (= #64 #219) +#217 := (= #63 #216) +#162 := (= #54 #161) +#163 := [rewrite]: #162 +#159 := (= #53 #158) +#160 := [rewrite]: #159 +#218 := [monotonicity #160 #163]: #217 +#221 := [monotonicity #218]: #220 +#226 := [trans #221 #224]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [monotonicity #232]: #234 +#238 := [monotonicity #235]: #237 +#241 := [quant-intro #238]: #240 +#258 := [trans #241 #256]: #257 +#215 := [asserted]: #69 +#259 := [mp #215 #258]: #254 +#287 := [mp~ #259 #272]: #254 +#325 := [mp #287 #324]: #322 +#356 := [mp #325 #355]: #353 +#864 := [mp #356 #863]: #859 +#687 := (not #859) +#688 := (or #687 #699) +#524 := (* -1::Int 3::Int) +#706 := (mod #523 #524) +#707 := (+ #18 #706) +#709 := (= #707 0::Int) +#815 := (<= 3::Int 0::Int) +#527 := (or #805 #815) +#528 := (not #527) +#818 := (or #817 #815) +#804 := (not #818) +#529 := (or #804 #528) +#710 := (if #529 #728 #709) +#711 := (if #472 #726 #710) +#725 := (= #18 #11) +#808 := (= 3::Int 0::Int) +#712 := (if #808 #725 #711) +#689 := (or #687 #712) +#693 := (iff #689 #688) +#690 := (iff #688 #688) +#695 := [rewrite]: #690 +#686 := (iff #712 #699) +#679 := (if false #725 #699) +#684 := (iff #679 #699) +#685 := [rewrite]: #684 +#680 := (iff #712 #679) +#705 := (iff #711 #699) +#703 := (iff #710 #702) +#698 := (iff #709 #697) +#700 := (= #707 #714) +#713 := (= #706 #752) +#768 := (= #524 -3::Int) +#770 := [rewrite]: #768 +#708 := [monotonicity #770]: #713 +#696 := [monotonicity #708]: #700 +#701 := [monotonicity #696]: #698 +#613 := (iff #529 #611) +#775 := (iff #528 #781) +#774 := (iff #527 #805) +#776 := (or #805 false) +#779 := (iff #776 #805) +#773 := [rewrite]: #779 +#777 := (iff #527 #776) +#786 := (iff #815 false) +#787 := [rewrite]: #786 +#778 := [monotonicity #787]: #777 +#780 := [trans #778 #773]: #774 +#782 := [monotonicity #780]: #775 +#633 := (iff #804 #632) +#785 := (iff #818 #817) +#788 := (or #817 false) +#789 := (iff #788 #817) +#790 := [rewrite]: #789 +#783 := (iff #818 #788) +#784 := [monotonicity #787]: #783 +#791 := [trans #784 #790]: #785 +#634 := [monotonicity #791]: #633 +#614 := [monotonicity #634 #782]: #613 +#704 := [monotonicity #614 #701]: #703 +#678 := [monotonicity #704]: #705 +#515 := (iff #808 false) +#516 := [rewrite]: #515 +#573 := [monotonicity #516 #678]: #680 +#691 := [trans #573 #685]: #686 +#694 := [monotonicity #691]: #693 +#675 := [trans #694 #695]: #693 +#692 := [quant-inst #11 #13]: #689 +#621 := [mp #692 #675]: #688 +#421 := [unit-resolution #621 #864]: #699 +#653 := (not #699) +#674 := (or #653 #735 #726) +#629 := [def-axiom]: #674 +#955 := [unit-resolution #629 #421]: #954 +#956 := [unit-resolution #955 #953]: #726 +#636 := (not #726) +#957 := (or #636 #657) +#928 := [th-lemma arith triangle-eq]: #957 +#929 := [unit-resolution #928 #956]: #657 +#746 := (>= #14 0::Int) +#530 := (div #11 3::Int) +#626 := (* -3::Int #530) +#627 := (+ #626 #727) +#610 := (+ #11 #627) +#625 := (= #610 0::Int) +#1 := true +#87 := [true-axiom]: true +#576 := (or false #625) +#584 := [th-lemma arith]: #576 +#577 := [unit-resolution #584 #87]: #625 +#599 := (<= #610 0::Int) +#531 := (not #599) +#590 := (>= #750 3::Int) +#591 := (not #590) +#580 := (or false #591) +#581 := [th-lemma arith]: #580 +#567 := [unit-resolution #581 #87]: #591 +#569 := (not #746) +#570 := [hypothesis]: #569 +#424 := (* -1::Int #530) +#800 := (+ #14 #424) +#745 := (>= #800 0::Int) +#801 := (= #800 0::Int) +#771 := (div #523 -3::Int) +#654 := (* -1::Int #771) +#615 := (+ #14 #654) +#760 := (= #615 0::Int) +#649 := (if #611 #801 #760) +#457 := (= #14 0::Int) +#720 := (not #457) +#568 := (or #720 #746) +#571 := [th-lemma arith triangle-eq]: #568 +#553 := [unit-resolution #571 #570]: #720 +#556 := (or #735 #457) +#667 := (if #472 #457 #649) #41 := (f7 f8 #40) #42 := (f6 #41 #29) -#811 := (pattern #42) -#159 := (div #153 #156) -#350 := (* -1::Int #159) -#351 := (+ #42 #350) -#352 := (= #351 0::Int) +#851 := (pattern #42) +#164 := (div #158 #161) +#330 := (* -1::Int #164) +#331 := (+ #42 #330) +#332 := (= #331 0::Int) #52 := (div #40 #29) -#347 := (* -1::Int #52) -#348 := (+ #42 #347) -#349 := (= #348 0::Int) -#353 := (if #314 #349 #352) -#346 := (= #42 0::Int) +#327 := (* -1::Int #52) +#328 := (+ #42 #327) +#329 := (= #328 0::Int) +#333 := (if #294 #329 #332) +#326 := (= #42 0::Int) #45 := (or #43 #44) -#354 := (if #45 #346 #353) -#812 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #811) #354) -#357 := (forall (vars (?v0 Int) (?v1 Int)) #354) -#815 := (iff #357 #812) -#813 := (iff #354 #354) -#814 := [refl]: #813 -#816 := [quant-intro #814]: #815 -#317 := (if #314 #52 #159) -#320 := (if #45 0::Int #317) -#323 := (= #42 #320) -#326 := (forall (vars (?v0 Int) (?v1 Int)) #323) -#358 := (iff #326 #357) -#355 := (iff #323 #354) -#356 := [rewrite]: #355 -#359 := [quant-intro #356]: #358 -#254 := (if #251 #52 #159) -#257 := (if #45 0::Int #254) -#260 := (= #42 #257) -#263 := (forall (vars (?v0 Int) (?v1 Int)) #260) -#327 := (iff #263 #326) -#324 := (iff #260 #323) -#321 := (= #257 #320) -#318 := (= #254 #317) -#319 := [monotonicity #316]: #318 -#322 := [monotonicity #319]: #321 -#325 := [monotonicity #322]: #324 -#328 := [quant-intro #325]: #327 -#298 := (~ #263 #263) -#296 := (~ #260 #260) -#297 := [refl]: #296 -#299 := [nnf-pos #297]: #298 -#162 := (if #149 #52 #159) -#165 := (if #45 0::Int #162) -#168 := (= #42 #165) -#171 := (forall (vars (?v0 Int) (?v1 Int)) #168) -#264 := (iff #171 #263) -#261 := (iff #168 #260) -#258 := (= #165 #257) -#255 := (= #162 #254) -#256 := [monotonicity #253]: #255 -#259 := [monotonicity #256]: #258 -#262 := [monotonicity #259]: #261 -#265 := [quant-intro #262]: #264 +#334 := (if #45 #326 #333) +#852 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #851) #334) +#337 := (forall (vars (?v0 Int) (?v1 Int)) #334) +#855 := (iff #337 #852) +#853 := (iff #334 #334) +#854 := [refl]: #853 +#856 := [quant-intro #854]: #855 +#297 := (if #294 #52 #164) +#300 := (if #45 0::Int #297) +#303 := (= #42 #300) +#306 := (forall (vars (?v0 Int) (?v1 Int)) #303) +#338 := (iff #306 #337) +#335 := (iff #303 #334) +#336 := [rewrite]: #335 +#339 := [quant-intro #336]: #338 +#200 := (if #197 #52 #164) +#203 := (if #45 0::Int #200) +#206 := (= #42 #203) +#209 := (forall (vars (?v0 Int) (?v1 Int)) #206) +#307 := (iff #209 #306) +#304 := (iff #206 #303) +#301 := (= #203 #300) +#298 := (= #200 #297) +#299 := [monotonicity #296]: #298 +#302 := [monotonicity #299]: #301 +#305 := [monotonicity #302]: #304 +#308 := [quant-intro #305]: #307 +#269 := (~ #209 #209) +#282 := (~ #206 #206) +#283 := [refl]: #282 +#270 := [nnf-pos #283]: #269 #55 := (div #53 #54) #56 := (if #51 #52 #55) #57 := (if #45 0::Int #56) #58 := (= #42 #57) #59 := (forall (vars (?v0 Int) (?v1 Int)) #58) -#172 := (iff #59 #171) -#169 := (iff #58 #168) -#166 := (= #57 #165) -#163 := (= #56 #162) -#160 := (= #55 #159) -#161 := [monotonicity #155 #158]: #160 -#164 := [monotonicity #151 #161]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [quant-intro #170]: #172 -#75 := [asserted]: #59 -#174 := [mp #75 #173]: #171 -#266 := [mp #174 #265]: #263 -#300 := [mp~ #266 #299]: #263 -#329 := [mp #300 #328]: #326 -#360 := [mp #329 #359]: #357 -#817 := [mp #360 #816]: #812 -#628 := (not #812) -#629 := (or #628 #626) -#484 := (div #761 #483) -#758 := (* -1::Int #484) -#762 := (+ #14 #758) -#759 := (= #762 0::Int) -#763 := (if #488 #760 #759) -#776 := (or #431 #432) -#473 := (if #776 #416 #763) -#630 := (or #628 #473) -#632 := (iff #630 #629) -#722 := (iff #629 #629) -#726 := [rewrite]: #722 -#627 := (iff #473 #626) -#609 := (iff #763 #724) -#720 := (iff #759 #625) -#575 := (= #762 #616) -#614 := (= #758 #732) -#731 := (= #484 #730) -#729 := [monotonicity #728]: #731 -#615 := [monotonicity #729]: #614 -#723 := [monotonicity #615]: #575 -#721 := [monotonicity #723]: #720 -#624 := [monotonicity #573 #721]: #609 -#756 := (iff #776 #431) -#476 := (or #431 false) -#470 := (iff #476 #431) -#752 := [rewrite]: #470 -#754 := (iff #776 #476) -#755 := [monotonicity #475]: #754 -#753 := [trans #755 #752]: #756 -#620 := [monotonicity #753 #624]: #627 -#725 := [monotonicity #620]: #632 -#713 := [trans #725 #726]: #632 -#631 := [quant-inst #11 #13]: #630 -#715 := [mp #631 #713]: #629 -#531 := [unit-resolution #715 #817]: #626 -#694 := (not #626) -#695 := (or #694 #691 #416) -#675 := [def-axiom]: #695 -#515 := [unit-resolution #675 #531]: #513 -#516 := [unit-resolution #515 #528]: #691 -#517 := (or #431 #724) -#676 := (or #694 #431 #724) -#678 := [def-axiom]: #676 -#518 := [unit-resolution #678 #531]: #517 -#519 := [unit-resolution #518 #516]: #724 -#600 := (f9 f10 #377) -#601 := (= #600 0::Int) -#526 := (not #601) -#503 := (iff #691 #526) -#525 := (iff #431 #601) -#523 := (iff #601 #431) -#521 := (= #600 #11) -#462 := (= #377 f3) +#212 := (iff #59 #209) +#167 := (if #51 #52 #164) +#170 := (if #45 0::Int #167) +#173 := (= #42 #170) +#176 := (forall (vars (?v0 Int) (?v1 Int)) #173) +#210 := (iff #176 #209) +#207 := (iff #173 #206) +#204 := (= #170 #203) +#201 := (= #167 #200) +#202 := [monotonicity #199]: #201 +#205 := [monotonicity #202]: #204 +#208 := [monotonicity #205]: #207 +#211 := [quant-intro #208]: #210 +#177 := (iff #59 #176) +#174 := (iff #58 #173) +#171 := (= #57 #170) +#168 := (= #56 #167) +#165 := (= #55 #164) +#166 := [monotonicity #160 #163]: #165 +#169 := [monotonicity #166]: #168 +#172 := [monotonicity #169]: #171 +#175 := [monotonicity #172]: #174 +#178 := [quant-intro #175]: #177 +#213 := [trans #178 #211]: #212 +#156 := [asserted]: #59 +#214 := [mp #156 #213]: #209 +#284 := [mp~ #214 #270]: #209 +#309 := [mp #284 #308]: #306 +#340 := [mp #309 #339]: #337 +#857 := [mp #340 #856]: #852 +#669 := (not #852) +#670 := (or #669 #667) +#798 := (div #523 #524) +#802 := (* -1::Int #798) +#799 := (+ #14 #802) +#803 := (= #799 0::Int) +#513 := (if #529 #801 #803) +#456 := (or #472 #808) +#514 := (if #456 #457 #513) +#671 := (or #669 #514) +#765 := (iff #671 #670) +#766 := (iff #670 #670) +#753 := [rewrite]: #766 +#660 := (iff #514 #667) +#664 := (iff #513 #649) +#761 := (iff #803 #760) +#763 := (= #799 #615) +#655 := (= #802 #654) +#769 := (= #798 #771) +#772 := [monotonicity #770]: #769 +#656 := [monotonicity #772]: #655 +#665 := [monotonicity #656]: #763 +#764 := [monotonicity #665]: #761 +#666 := [monotonicity #614 #764]: #664 +#793 := (iff #456 #472) +#794 := (or #472 false) +#792 := (iff #794 #472) +#796 := [rewrite]: #792 +#795 := (iff #456 #794) +#510 := [monotonicity #516]: #795 +#797 := [trans #510 #796]: #793 +#668 := [monotonicity #797 #666]: #660 +#762 := [monotonicity #668]: #765 +#755 := [trans #762 #753]: #765 +#672 := [quant-inst #11 #13]: #671 +#747 := [mp #672 #755]: #670 +#555 := [unit-resolution #747 #857]: #667 +#731 := (not #667) +#715 := (or #731 #735 #457) +#716 := [def-axiom]: #715 +#557 := [unit-resolution #716 #555]: #556 +#558 := [unit-resolution #557 #553]: #735 +#559 := (or #472 #649) +#718 := (or #731 #472 #649) +#719 := [def-axiom]: #718 +#560 := [unit-resolution #719 #555]: #559 +#561 := [unit-resolution #560 #558]: #649 +#641 := (f9 f10 #418) +#642 := (= #641 0::Int) +#545 := (not #642) +#546 := (iff #735 #545) +#566 := (iff #472 #642) +#565 := (iff #642 #472) +#563 := (= #641 #11) +#502 := (= #418 f3) #23 := (:var 0 S2) #24 := (f9 f10 #23) -#791 := (pattern #24) +#831 := (pattern #24) #25 := (f4 f5 #24) #26 := (= #25 #23) -#792 := (forall (vars (?v0 S2)) (:pat #791) #26) +#832 := (forall (vars (?v0 S2)) (:pat #831) #26) #27 := (forall (vars (?v0 S2)) #26) -#795 := (iff #27 #792) -#793 := (iff #26 #26) -#794 := [refl]: #793 -#796 := [quant-intro #794]: #795 -#291 := (~ #27 #27) -#289 := (~ #26 #26) -#290 := [refl]: #289 -#292 := [nnf-pos #290]: #291 -#72 := [asserted]: #27 -#283 := [mp~ #72 #292]: #27 -#797 := [mp #283 #796]: #792 -#455 := (not #792) -#466 := (or #455 #462) -#467 := [quant-inst #7]: #466 -#520 := [unit-resolution #467 #797]: #462 -#522 := [monotonicity #520]: #521 -#524 := [monotonicity #522]: #523 -#514 := [symm #524]: #525 -#505 := [monotonicity #514]: #503 -#506 := [mp #516 #505]: #526 -#602 := (or #764 #601) +#835 := (iff #27 #832) +#833 := (iff #26 #26) +#834 := [refl]: #833 +#836 := [quant-intro #834]: #835 +#277 := (~ #27 #27) +#275 := (~ #26 #26) +#276 := [refl]: #275 +#278 := [nnf-pos #276]: #277 +#105 := [asserted]: #27 +#263 := [mp~ #105 #278]: #27 +#837 := [mp #263 #836]: #832 +#495 := (not #832) +#506 := (or #495 #502) +#507 := [quant-inst #7]: #506 +#562 := [unit-resolution #507 #837]: #502 +#564 := [monotonicity #562]: #563 +#554 := [monotonicity #564]: #565 +#543 := [symm #554]: #566 +#547 := [monotonicity #543]: #546 +#548 := [mp #558 #547]: #545 +#643 := (or #805 #642) #31 := (f4 f5 #29) -#798 := (pattern #31) +#838 := (pattern #31) #32 := (f9 f10 #31) #37 := (= #32 0::Int) -#222 := (>= #29 0::Int) -#235 := (or #222 #37) -#805 := (forall (vars (?v0 Int)) (:pat #798) #235) -#238 := (forall (vars (?v0 Int)) #235) -#808 := (iff #238 #805) -#806 := (iff #235 #235) -#807 := [refl]: #806 -#809 := [quant-intro #807]: #808 -#293 := (~ #238 #238) -#220 := (~ #235 #235) -#221 := [refl]: #220 -#294 := [nnf-pos #221]: #293 -#30 := (<= 0::Int #29) -#117 := (or #30 #37) -#122 := (forall (vars (?v0 Int)) #117) -#239 := (iff #122 #238) -#236 := (iff #117 #235) -#223 := (iff #30 #222) -#224 := [rewrite]: #223 -#237 := [monotonicity #224]: #236 -#240 := [quant-intro #237]: #239 +#117 := (>= #29 0::Int) +#147 := (or #117 #37) +#845 := (forall (vars (?v0 Int)) (:pat #838) #147) +#150 := (forall (vars (?v0 Int)) #147) +#848 := (iff #150 #845) +#846 := (iff #147 #147) +#847 := [refl]: #846 +#849 := [quant-intro #847]: #848 +#267 := (~ #150 #150) +#279 := (~ #147 #147) +#280 := [refl]: #279 +#268 := [nnf-pos #280]: #267 #36 := (< #29 0::Int) #38 := (implies #36 #37) #39 := (forall (vars (?v0 Int)) #38) -#123 := (iff #39 #122) -#120 := (iff #38 #117) -#100 := (not #30) -#114 := (implies #100 #37) -#118 := (iff #114 #117) -#119 := [rewrite]: #118 -#115 := (iff #38 #114) -#109 := (iff #36 #100) -#111 := (iff #100 #100) -#96 := (iff #30 #30) -#97 := [rewrite]: #96 -#112 := [monotonicity #97]: #111 -#110 := [rewrite]: #109 -#113 := [trans #110 #112]: #109 -#116 := [monotonicity #113]: #115 -#121 := [trans #116 #119]: #120 -#124 := [quant-intro #121]: #123 -#74 := [asserted]: #39 -#125 := [mp #74 #124]: #122 -#241 := [mp #125 #240]: #238 -#295 := [mp~ #241 #294]: #238 -#810 := [mp #295 #809]: #805 -#768 := (not #805) -#605 := (or #768 #764 #601) -#606 := (or #768 #602) -#607 := (iff #606 #605) -#568 := [rewrite]: #607 -#591 := [quant-inst #11]: #606 -#569 := [mp #591 #568]: #605 -#507 := [unit-resolution #569 #810]: #602 -#508 := [unit-resolution #507 #506]: #764 -#509 := (or #431 #751 #740) -#510 := [th-lemma arith triangle-eq]: #509 -#511 := [unit-resolution #510 #516]: #742 -#504 := [unit-resolution #511 #508]: #751 -#706 := (or #742 #417) -#716 := [def-axiom]: #706 -#512 := [unit-resolution #716 #504]: #742 -#697 := (not #724) -#699 := (or #697 #714 #760) -#700 := [def-axiom]: #699 -#497 := [unit-resolution #700 #512 #519]: #760 -#698 := (not #760) -#498 := (or #698 #711) -#499 := [th-lemma arith triangle-eq]: #498 -#501 := [unit-resolution #499 #497]: #711 -#502 := (not #711) -#491 := (or #500 #740 #545 #704 #502) -#492 := [th-lemma arith assign-bounds 1 1 3 -3]: #491 -#493 := [unit-resolution #492 #508 #501 #527 #540]: #500 -#485 := (not #584) -#494 := (or #485 #588) -#495 := [th-lemma arith triangle-eq]: #494 -#486 := [unit-resolution #495 #493 #536]: false -#496 := [lemma #486]: #704 -#572 := (* -1::Int #468) -#779 := (+ #80 #18 #572) -#425 := (<= #779 0::Int) -#442 := (= #779 0::Int) -#463 := (>= #83 0::Int) -#565 := (not #636) -#408 := (or #463 #541 #565) -#563 := [th-lemma arith assign-bounds 3 -1]: #408 -#458 := [unit-resolution #563 #839 #496]: #463 -#464 := (not #463) -#783 := (or #464 #442) +#153 := (iff #39 #150) +#131 := (not #36) +#132 := (or #131 #37) +#135 := (forall (vars (?v0 Int)) #132) +#151 := (iff #135 #150) +#148 := (iff #132 #147) +#145 := (iff #131 #117) +#118 := (not #117) +#140 := (not #118) +#143 := (iff #140 #117) +#144 := [rewrite]: #143 +#141 := (iff #131 #140) +#138 := (iff #36 #118) +#139 := [rewrite]: #138 +#142 := [monotonicity #139]: #141 +#146 := [trans #142 #144]: #145 +#149 := [monotonicity #146]: #148 +#152 := [quant-intro #149]: #151 +#136 := (iff #39 #135) +#133 := (iff #38 #132) +#134 := [rewrite]: #133 +#137 := [quant-intro #134]: #136 +#154 := [trans #137 #152]: #153 +#130 := [asserted]: #39 +#155 := [mp #130 #154]: #150 +#281 := [mp~ #155 #268]: #150 +#850 := [mp #281 #849]: #845 +#809 := (not #845) +#646 := (or #809 #805 #642) +#631 := (or #809 #643) +#608 := (iff #631 #646) +#609 := [rewrite]: #608 +#647 := [quant-inst #11]: #631 +#616 := [mp #647 #609]: #646 +#549 := [unit-resolution #616 #850]: #643 +#550 := [unit-resolution #549 #548]: #805 +#551 := (or #472 #632 #781) +#544 := [th-lemma arith triangle-eq]: #551 +#552 := [unit-resolution #544 #558]: #611 +#537 := [unit-resolution #552 #550]: #632 +#756 := (or #611 #817) +#757 := [def-axiom]: #756 +#538 := [unit-resolution #757 #537]: #611 +#739 := (not #649) +#740 := (or #739 #759 #801) +#741 := [def-axiom]: #740 +#539 := [unit-resolution #741 #538 #561]: #801 +#743 := (not #801) +#541 := (or #743 #745) +#540 := [th-lemma arith triangle-eq]: #541 +#542 := [unit-resolution #540 #539]: #745 +#532 := (not #745) +#533 := (or #531 #781 #590 #746 #532) +#525 := [th-lemma arith assign-bounds 1 1 3 -3]: #533 +#534 := [unit-resolution #525 #550 #542 #570 #567]: #531 +#535 := (not #625) +#526 := (or #535 #599) +#536 := [th-lemma arith triangle-eq]: #526 +#517 := [unit-resolution #536 #534 #577]: false +#518 := [lemma #517]: #746 +#819 := (* -1::Int #508) +#493 := (+ #18 #819) +#494 := (+ #90 #493) +#806 := (<= #494 0::Int) +#482 := (= #494 0::Int) +#503 := (>= #93 0::Int) +#880 := (not #657) +#881 := (or #503 #569 #880) +#882 := [th-lemma arith assign-bounds 3 -1]: #881 +#962 := [unit-resolution #882 #929 #518]: #503 +#504 := (not #503) +#823 := (or #504 #482) #33 := (= #32 #29) -#225 := (not #222) -#228 := (or #225 #33) -#799 := (forall (vars (?v0 Int)) (:pat #798) #228) -#231 := (forall (vars (?v0 Int)) #228) -#802 := (iff #231 #799) -#800 := (iff #228 #228) -#801 := [refl]: #800 -#803 := [quant-intro #801]: #802 -#288 := (~ #231 #231) -#284 := (~ #228 #228) -#287 := [refl]: #284 -#285 := [nnf-pos #287]: #288 -#101 := (or #100 #33) -#105 := (forall (vars (?v0 Int)) #101) -#232 := (iff #105 #231) -#229 := (iff #101 #228) -#226 := (iff #100 #225) -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [quant-intro #230]: #232 +#121 := (or #118 #33) +#839 := (forall (vars (?v0 Int)) (:pat #838) #121) +#124 := (forall (vars (?v0 Int)) #121) +#842 := (iff #124 #839) +#840 := (iff #121 #121) +#841 := [refl]: #840 +#843 := [quant-intro #841]: #842 +#265 := (~ #124 #124) +#264 := (~ #121 #121) +#261 := [refl]: #264 +#266 := [nnf-pos #261]: #265 +#30 := (<= 0::Int #29) #34 := (implies #30 #33) #35 := (forall (vars (?v0 Int)) #34) -#106 := (iff #35 #105) -#102 := (iff #34 #101) -#103 := [rewrite]: #102 -#98 := (iff #34 #34) -#99 := [monotonicity #97]: #98 -#104 := [trans #99 #103]: #102 -#107 := [quant-intro #104]: #106 -#73 := [asserted]: #35 -#108 := [mp #73 #107]: #105 -#234 := [mp #108 #233]: #231 -#286 := [mp~ #234 #285]: #231 -#804 := [mp #286 #803]: #799 -#786 := (not #799) -#787 := (or #786 #464 #442) -#465 := (= #468 #83) -#469 := (or #464 #465) -#788 := (or #786 #469) -#781 := (iff #788 #787) -#784 := (or #786 #783) -#440 := (iff #784 #787) -#445 := [rewrite]: #440 -#790 := (iff #788 #784) -#453 := (iff #469 #783) -#785 := (iff #465 #442) -#448 := [rewrite]: #785 -#454 := [monotonicity #448]: #453 -#780 := [monotonicity #454]: #790 -#441 := [trans #780 #445]: #781 -#789 := [quant-inst #83]: #788 -#782 := [mp #789 #441]: #787 -#387 := [unit-resolution #782 #804]: #783 -#844 := [unit-resolution #387 #458]: #442 -#385 := (not #442) -#388 := (or #385 #425) -#389 := [th-lemma arith triangle-eq]: #388 -#858 := [unit-resolution #389 #844]: #425 -#386 := (not #425) -#860 := (or #774 #541 #565 #386) -#845 := [th-lemma arith assign-bounds 3 -1 1]: #860 -#846 := [unit-resolution #845 #858 #496 #839]: #774 -#411 := (<= #468 0::Int) -#581 := (<= #18 0::Int) -#847 := (or #595 #581) -#848 := [th-lemma arith triangle-eq]: #847 -#849 := [unit-resolution #848 #850]: #581 -#707 := (<= #14 0::Int) -#852 := [unit-resolution #515 #859]: #416 -#853 := (or #679 #707) -#854 := [th-lemma arith triangle-eq]: #853 -#855 := [unit-resolution #854 #852]: #707 -#766 := (>= #779 0::Int) -#381 := (or #385 #766) -#379 := [th-lemma arith triangle-eq]: #381 -#842 := [unit-resolution #379 #844]: #766 -#825 := (not #766) -#881 := (not #581) -#843 := (not #707) -#882 := (or #411 #843 #881 #825) -#883 := [th-lemma arith assign-bounds -3 -1 1]: #882 -#884 := [unit-resolution #883 #842 #855 #849]: #411 -#856 := (not #774) -#885 := (not #411) -#857 := (or #429 #885 #856) -#890 := [th-lemma arith triangle-eq]: #857 -#891 := [unit-resolution #890 #884 #846]: #429 -#482 := (= #83 #468) -#449 := (+ #83 #572) -#459 := (<= #449 0::Int) -#391 := (or #459 #386) -#378 := [th-lemma arith assign-bounds -1]: #391 -#892 := [unit-resolution #378 #858]: #459 -#460 := (>= #449 0::Int) -#826 := (or #460 #825) -#827 := [th-lemma arith assign-bounds -1]: #826 -#893 := [unit-resolution #827 #842]: #460 -#830 := (not #460) -#829 := (not #459) -#831 := (or #482 #829 #830) -#832 := [th-lemma arith triangle-eq]: #831 -#894 := [unit-resolution #832 #893 #892]: #482 -#898 := [trans #894 #891]: #897 -#900 := [trans #898 #896]: #899 -#902 := [monotonicity #900]: #901 -#904 := [symm #902]: #903 -#409 := (= f3 #377) -#405 := [symm #520]: #409 -#905 := [trans #405 #904]: #89 -#92 := (not #89) +#127 := (iff #35 #124) +#108 := (not #30) +#109 := (or #108 #33) +#112 := (forall (vars (?v0 Int)) #109) +#125 := (iff #112 #124) +#122 := (iff #109 #121) +#119 := (iff #108 #118) +#115 := (iff #30 #117) +#116 := [rewrite]: #115 +#120 := [monotonicity #116]: #119 +#123 := [monotonicity #120]: #122 +#126 := [quant-intro #123]: #125 +#113 := (iff #35 #112) +#110 := (iff #34 #109) +#111 := [rewrite]: #110 +#114 := [quant-intro #111]: #113 +#128 := [trans #114 #126]: #127 +#106 := [asserted]: #35 +#129 := [mp #106 #128]: #124 +#262 := [mp~ #129 #266]: #124 +#844 := [mp #262 #843]: #839 +#827 := (not #839) +#828 := (or #827 #504 #482) +#505 := (= #508 #93) +#509 := (or #504 #505) +#829 := (or #827 #509) +#481 := (iff #829 #828) +#830 := (or #827 #823) +#485 := (iff #830 #828) +#821 := [rewrite]: #485 +#820 := (iff #829 #830) +#612 := (iff #509 #823) +#825 := (iff #505 #482) +#488 := [rewrite]: #825 +#826 := [monotonicity #488]: #612 +#480 := [monotonicity #826]: #820 +#822 := [trans #480 #821]: #481 +#824 := [quant-inst #93]: #829 +#465 := [mp #824 #822]: #828 +#884 := [unit-resolution #465 #844]: #823 +#963 := [unit-resolution #884 #962]: #482 +#886 := (not #482) +#887 := (or #886 #806) +#888 := [th-lemma arith triangle-eq]: #887 +#964 := [unit-resolution #888 #963]: #806 +#890 := (not #806) +#965 := (or #816 #569 #880 #890) +#966 := [th-lemma arith assign-bounds 3 -1 1]: #965 +#967 := [unit-resolution #966 #964 #518 #929]: #816 +#814 := (<= #508 0::Int) +#676 := (<= #18 0::Int) +#968 := (or #636 #676) +#969 := [th-lemma arith triangle-eq]: #968 +#970 := [unit-resolution #969 #956]: #676 +#744 := (<= #14 0::Int) +#971 := [unit-resolution #557 #953]: #457 +#972 := (or #720 #744) +#973 := [th-lemma arith triangle-eq]: #972 +#974 := [unit-resolution #973 #971]: #744 +#469 := (>= #494 0::Int) +#894 := (or #886 #469) +#895 := [th-lemma arith triangle-eq]: #894 +#975 := [unit-resolution #895 #963]: #469 +#897 := (not #469) +#977 := (not #676) +#976 := (not #744) +#978 := (or #814 #976 #977 #897) +#979 := [th-lemma arith assign-bounds -3 -1 1]: #978 +#980 := [unit-resolution #979 #975 #974 #970]: #814 +#982 := (not #816) +#981 := (not #814) +#983 := (or #470 #981 #982) +#984 := [th-lemma arith triangle-eq]: #983 +#985 := [unit-resolution #984 #980 #967]: #470 +#491 := (= #93 #508) +#492 := (+ #93 #819) +#490 := (<= #492 0::Int) +#891 := (or #490 #890) +#892 := [th-lemma arith assign-bounds -1]: #891 +#986 := [unit-resolution #892 #964]: #490 +#501 := (>= #492 0::Int) +#898 := (or #501 #897) +#899 := [th-lemma arith assign-bounds -1]: #898 +#987 := [unit-resolution #899 #975]: #501 +#902 := (not #501) +#901 := (not #490) +#903 := (or #491 #901 #902) +#904 := [th-lemma arith triangle-eq]: #903 +#988 := [unit-resolution #904 #987 #986]: #491 +#992 := [trans #988 #985]: #991 +#994 := [trans #992 #990]: #993 +#996 := [monotonicity #994]: #995 +#998 := [symm #996]: #997 +#450 := (= f3 #418) +#433 := [symm #562]: #450 +#999 := [trans #433 #998]: #99 +#102 := (not #99) #15 := (* #14 3::Int) #19 := (+ #15 #18) #20 := (f4 f5 #19) #21 := (= f3 #20) #22 := (not #21) -#93 := (iff #22 #92) -#90 := (iff #21 #89) -#87 := (= #20 #86) -#84 := (= #19 #83) -#81 := (= #15 #80) -#82 := [rewrite]: #81 -#85 := [monotonicity #82]: #84 -#88 := [monotonicity #85]: #87 -#91 := [monotonicity #88]: #90 -#94 := [monotonicity #91]: #93 -#71 := [asserted]: #22 -#95 := [mp #71 #94]: #92 -#906 := [unit-resolution #95 #905]: false -#907 := [lemma #906]: #691 -#835 := (or #431 #714) -#710 := (<= #383 0::Int) -#603 := [hypothesis]: #742 -#604 := [hypothesis]: #691 -#576 := [unit-resolution #518 #604]: #724 -#583 := [unit-resolution #700 #576 #603]: #760 -#582 := (or #698 #710) -#578 := [th-lemma arith triangle-eq]: #582 -#579 := [unit-resolution #578 #583]: #710 -#617 := (<= #687 0::Int) -#567 := (or #431 #661) -#589 := (or #633 #431 #661) -#590 := [def-axiom]: #589 -#546 := [unit-resolution #590 #580]: #567 -#566 := [unit-resolution #546 #604]: #661 -#643 := (not #661) -#611 := (or #643 #714 #677) -#618 := [def-axiom]: #611 -#562 := [unit-resolution #618 #566 #603]: #677 -#610 := (not #677) -#549 := (or #610 #617) -#553 := [th-lemma arith triangle-eq]: #549 -#555 := [unit-resolution #553 #562]: #617 -#556 := [unit-resolution #499 #583]: #711 -#641 := (>= #687 0::Int) -#554 := (or #610 #641) -#557 := [th-lemma arith triangle-eq]: #554 -#550 := [unit-resolution #557 #562]: #641 -#559 := (>= #709 0::Int) -#551 := (or false #559) -#547 := [th-lemma arith]: #551 -#552 := [unit-resolution #547 #219]: #559 -#414 := (not #641) -#587 := (not #559) -#570 := (or #636 #587 #414) -#560 := [th-lemma arith assign-bounds 1 1]: #570 -#561 := [unit-resolution #560 #550 #552]: #636 -#564 := [unit-resolution #563 #561 #496]: #463 -#384 := [unit-resolution #387 #564]: #442 -#390 := [unit-resolution #389 #384]: #425 -#380 := [unit-resolution #378 #390]: #459 -#382 := [unit-resolution #379 #384]: #766 -#828 := [unit-resolution #827 #382]: #460 -#833 := [unit-resolution #832 #828 #380]: #482 -#427 := (not #710) -#439 := (not #617) -#402 := (not #482) -#394 := (or #402 #414 #502 #439 #427) -#477 := (f4 f5 #468) -#478 := (= #477 #86) -#480 := (or #455 #478) -#481 := [quant-inst #86]: #480 -#426 := [unit-resolution #481 #797]: #478 -#396 := (= f3 #477) -#410 := (= #377 #477) -#406 := (= #11 #468) -#428 := [hypothesis]: #482 -#450 := (= #11 #83) -#461 := (* -1::Int #83) -#444 := (+ #11 #461) -#447 := (>= #444 0::Int) -#433 := [hypothesis]: #710 -#558 := (>= #586 0::Int) -#434 := (or #485 #558) -#435 := [th-lemma arith triangle-eq]: #434 -#436 := [unit-resolution #435 #536]: #558 -#437 := [hypothesis]: #617 -#438 := (not #558) -#420 := (or #447 #438 #427 #439) -#422 := [th-lemma arith assign-bounds -1 3 1]: #420 -#423 := [unit-resolution #422 #437 #436 #433]: #447 -#446 := (<= #444 0::Int) -#421 := [hypothesis]: #711 -#424 := [unit-resolution #495 #536]: #588 -#412 := [hypothesis]: #641 -#415 := (or #446 #500 #502 #414) -#418 := [th-lemma arith assign-bounds -1 3 1]: #415 -#413 := [unit-resolution #418 #412 #424 #421]: #446 -#393 := (not #447) -#419 := (not #446) -#398 := (or #450 #419 #393) -#399 := [th-lemma arith triangle-eq]: #398 -#404 := [unit-resolution #399 #413 #423]: #450 -#407 := [trans #404 #428]: #406 -#392 := [monotonicity #407]: #410 -#397 := [trans #405 #392]: #396 -#400 := [trans #397 #426]: #89 -#401 := [unit-resolution #95 #400]: false -#403 := [lemma #401]: #394 -#834 := [unit-resolution #403 #833 #550 #556 #555 #579]: false -#836 := [lemma #834]: #835 -#908 := [unit-resolution #836 #907]: #714 -#888 := (or #431 #740) -#886 := [hypothesis]: #764 -#542 := [hypothesis]: #751 -#532 := [unit-resolution #716 #542]: #742 -#534 := [unit-resolution #836 #532]: #431 -#535 := (or #691 #417) -#538 := [th-lemma arith triangle-eq]: #535 -#452 := [unit-resolution #538 #534 #542]: false -#443 := [lemma #452]: #417 -#887 := [unit-resolution #510 #604 #443 #886]: false -#889 := [lemma #887]: #888 -#909 := [unit-resolution #889 #907]: #740 -#717 := (or #742 #764) -#718 := [def-axiom]: #717 -[unit-resolution #718 #909 #908]: false -810a5a888a26e956d3d96c0f529162bda0f4210f 76 0 -unsat +#103 := (iff #22 #102) +#100 := (iff #21 #99) +#97 := (= #20 #96) +#94 := (= #19 #93) +#91 := (= #15 #90) +#92 := [rewrite]: #91 +#95 := [monotonicity #92]: #94 +#98 := [monotonicity #95]: #97 +#101 := [monotonicity #98]: #100 +#104 := [monotonicity #101]: #103 +#89 := [asserted]: #22 +#107 := [mp #89 #104]: #102 +#1000 := [unit-resolution #107 #999]: false +#1001 := [lemma #1000]: #735 +#907 := (or #472 #759) +#751 := (<= #800 0::Int) +#426 := [hypothesis]: #611 +#429 := [hypothesis]: #735 +#430 := [unit-resolution #560 #429]: #649 +#431 := [unit-resolution #741 #430 #426]: #801 +#427 := (or #743 #751) +#432 := [th-lemma arith triangle-eq]: #427 +#419 := [unit-resolution #432 #431]: #751 +#681 := (<= #717 0::Int) +#422 := (or #472 #702) +#630 := (or #653 #472 #702) +#635 := [def-axiom]: #630 +#420 := [unit-resolution #635 #421]: #422 +#423 := [unit-resolution #420 #429]: #702 +#651 := (not #702) +#658 := (or #651 #759 #728) +#617 := [def-axiom]: #658 +#865 := [unit-resolution #617 #423 #426]: #728 +#652 := (not #728) +#866 := (or #652 #681) +#867 := [th-lemma arith triangle-eq]: #866 +#868 := [unit-resolution #867 #865]: #681 +#869 := [unit-resolution #540 #431]: #745 +#682 := (>= #717 0::Int) +#870 := (or #652 #682) +#871 := [th-lemma arith triangle-eq]: #870 +#872 := [unit-resolution #871 #865]: #682 +#601 := (>= #750 0::Int) +#873 := (or false #601) +#874 := [th-lemma arith]: #873 +#875 := [unit-resolution #874 #87]: #601 +#458 := (not #682) +#876 := (not #601) +#877 := (or #657 #876 #458) +#878 := [th-lemma arith assign-bounds 1 1]: #877 +#879 := [unit-resolution #878 #872 #875]: #657 +#883 := [unit-resolution #882 #879 #518]: #503 +#885 := [unit-resolution #884 #883]: #482 +#889 := [unit-resolution #888 #885]: #806 +#893 := [unit-resolution #892 #889]: #490 +#896 := [unit-resolution #895 #885]: #469 +#900 := [unit-resolution #899 #896]: #501 +#905 := [unit-resolution #904 #900 #893]: #491 +#460 := (not #751) +#462 := (not #681) +#443 := (not #491) +#428 := (or #443 #458 #532 #462 #460) +#519 := (f4 f5 #508) +#511 := (= #519 #96) +#512 := (or #495 #511) +#522 := [quant-inst #96]: #512 +#473 := [unit-resolution #522 #837]: #511 +#440 := (= f3 #519) +#436 := (= #418 #519) +#449 := (= #11 #508) +#474 := [hypothesis]: #491 +#484 := (= #11 #93) +#486 := (* -1::Int #93) +#487 := (+ #11 #486) +#468 := (>= #487 0::Int) +#475 := [hypothesis]: #751 +#600 := (>= #610 0::Int) +#476 := (or #535 #600) +#477 := [th-lemma arith triangle-eq]: #476 +#478 := [unit-resolution #477 #577]: #600 +#467 := [hypothesis]: #681 +#479 := (not #600) +#463 := (or #468 #479 #460 #462) +#461 := [th-lemma arith assign-bounds -1 3 1]: #463 +#464 := [unit-resolution #461 #467 #478 #475]: #468 +#466 := (<= #487 0::Int) +#452 := [hypothesis]: #745 +#454 := [unit-resolution #536 #577]: #599 +#455 := [hypothesis]: #682 +#453 := (or #466 #531 #532 #458) +#459 := [th-lemma arith assign-bounds -1 3 1]: #453 +#434 := [unit-resolution #459 #455 #454 #452]: #466 +#439 := (not #468) +#438 := (not #466) +#444 := (or #484 #438 #439) +#446 := [th-lemma arith triangle-eq]: #444 +#447 := [unit-resolution #446 #434 #464]: #484 +#445 := [trans #447 #474]: #449 +#437 := [monotonicity #445]: #436 +#441 := [trans #433 #437]: #440 +#442 := [trans #441 #473]: #99 +#435 := [unit-resolution #107 #442]: false +#425 := [lemma #435]: #428 +#906 := [unit-resolution #425 #905 #872 #869 #868 #419]: false +#908 := [lemma #906]: #907 +#1002 := [unit-resolution #908 #1001]: #759 +#960 := (or #472 #781) +#958 := [hypothesis]: #805 +#574 := [hypothesis]: #632 +#575 := [unit-resolution #757 #574]: #611 +#578 := [unit-resolution #908 #575]: #472 +#579 := (or #735 #817) +#583 := [th-lemma arith triangle-eq]: #579 +#496 := [unit-resolution #583 #578 #574]: false +#497 := [lemma #496]: #817 +#959 := [unit-resolution #544 #429 #497 #958]: false +#961 := [lemma #959]: #960 +#1003 := [unit-resolution #961 #1001]: #781 +#758 := (or #611 #805) +#754 := [def-axiom]: #758 +[unit-resolution #754 #1003 #1002]: false +unsat +eda44a5672e0665e25283a25dd7f355a8eaca7e9 62 0 +#2 := false +#22 := 0::Int +decl f3 :: (-> S2 S3 Int) +decl f6 :: S3 +#10 := f6 +decl f4 :: S2 +#7 := f4 +#11 := (f3 f4 f6) +decl f5 :: S3 +#8 := f5 +#9 := (f3 f4 f5) +#56 := -1::Int +#57 := (* -1::Int #11) +#58 := (+ #9 #57) +#59 := (<= #58 0::Int) +#62 := (if #59 #9 #11) +#70 := (* -1::Int #62) +#253 := (+ #11 #70) +#602 := (>= #253 0::Int) +#290 := (= #11 #62) +#206 := (not #59) +#205 := (= #9 #62) +#598 := (not #205) +#71 := (+ #9 #70) +#69 := (>= #71 0::Int) +#75 := (not #69) +#12 := (<= #9 #11) +#13 := (if #12 #9 #11) +#14 := (<= #13 #9) +#15 := (not #14) +#76 := (iff #15 #75) +#73 := (iff #14 #69) +#65 := (<= #62 #9) +#68 := (iff #65 #69) +#72 := [rewrite]: #68 +#66 := (iff #14 #65) +#63 := (= #13 #62) +#60 := (iff #12 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 +#74 := [trans #67 #72]: #73 +#77 := [monotonicity #74]: #76 +#53 := [asserted]: #15 +#78 := [mp #53 #77]: #75 +#594 := [hypothesis]: #205 +#599 := (or #598 #69) +#600 := [th-lemma arith triangle-eq]: #599 +#595 := [unit-resolution #600 #594 #78]: false +#601 := [lemma #595]: #598 +#291 := (or #206 #205) +#292 := [def-axiom]: #291 +#604 := [unit-resolution #292 #601]: #206 +#283 := (or #59 #290) +#294 := [def-axiom]: #283 +#244 := [unit-resolution #294 #604]: #290 +#245 := (not #290) +#605 := (or #245 #602) +#603 := [th-lemma arith triangle-eq]: #605 +#606 := [unit-resolution #603 #244]: #602 +[th-lemma arith farkas 1 1 1 #78 #604 #606]: false +unsat +97b1f19af776d1080cad185bb98c38caf958ba23 62 0 +#2 := false +#22 := 0::Int +decl f3 :: (-> S2 S3 Int) +decl f6 :: S3 +#10 := f6 +decl f4 :: S2 +#7 := f4 +#11 := (f3 f4 f6) +decl f5 :: S3 +#8 := f5 +#9 := (f3 f4 f5) +#56 := -1::Int +#57 := (* -1::Int #11) +#58 := (+ #9 #57) +#59 := (<= #58 0::Int) +#62 := (if #59 #9 #11) +#69 := (* -1::Int #62) +#70 := (+ #11 #69) +#68 := (>= #70 0::Int) +#75 := (not #68) +#12 := (<= #9 #11) +#13 := (if #12 #9 #11) +#14 := (<= #13 #11) +#15 := (not #14) +#76 := (iff #15 #75) +#73 := (iff #14 #68) +#65 := (<= #62 #11) +#71 := (iff #65 #68) +#72 := [rewrite]: #71 +#66 := (iff #14 #65) +#63 := (= #13 #62) +#60 := (iff #12 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 +#74 := [trans #67 #72]: #73 +#77 := [monotonicity #74]: #76 +#53 := [asserted]: #15 +#78 := [mp #53 #77]: #75 +#290 := (= #11 #62) +#206 := (not #59) +#599 := [hypothesis]: #59 +#253 := (+ #9 #69) +#598 := (>= #253 0::Int) +#205 := (= #9 #62) +#291 := (or #206 #205) +#292 := [def-axiom]: #291 +#600 := [unit-resolution #292 #599]: #205 +#595 := (not #205) +#601 := (or #595 #598) +#239 := [th-lemma arith triangle-eq]: #601 +#602 := [unit-resolution #239 #600]: #598 +#604 := [th-lemma arith farkas -1 1 1 #602 #78 #599]: false +#244 := [lemma #604]: #206 +#283 := (or #59 #290) +#294 := [def-axiom]: #283 +#245 := [unit-resolution #294 #244]: #290 +#605 := (not #290) +#603 := (or #605 #68) +#606 := [th-lemma arith triangle-eq]: #603 +[unit-resolution #606 #245 #78]: false +unsat +3471bb506d588114610f4dc57e0a4000d67c30d5 238 0 #2 := false #23 := 0::Int decl f3 :: (-> S2 S3 Int) decl f6 :: S3 #10 := f6 -decl f5 :: S3 -#8 := f5 decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#93 := -1::Int -#94 := (* -1::Int #11) -#9 := (f3 f4 f5) -#95 := (+ #9 #94) -#96 := (<= #95 0::Int) -#99 := (if #96 f5 f6) -#102 := (f3 f4 #99) -#110 := (* -1::Int #102) -#539 := (+ #11 #110) -#250 := (>= #539 0::Int) -#535 := (= #11 #102) -#238 := (= f6 #99) -#153 := (not #96) -#152 := (= f5 #99) -#534 := (not #152) -#550 := (= #9 #102) -#537 := [hypothesis]: #152 -#259 := [monotonicity #537]: #550 -#263 := (not #550) -#111 := (+ #9 #110) -#109 := (>= #111 0::Int) -#115 := (not #109) -#12 := (<= #9 #11) -#13 := (if #12 f5 f6) -#14 := (f3 f4 #13) -#15 := (<= #14 #9) -#16 := (not #15) -#116 := (iff #16 #115) -#113 := (iff #15 #109) -#105 := (<= #102 #9) -#108 := (iff #105 #109) -#112 := [rewrite]: #108 -#106 := (iff #15 #105) -#103 := (= #14 #102) -#100 := (= #13 #99) -#97 := (iff #12 #96) -#98 := [rewrite]: #97 -#101 := [monotonicity #98]: #100 -#104 := [monotonicity #101]: #103 -#107 := [monotonicity #104]: #106 -#114 := [trans #107 #112]: #113 -#117 := [monotonicity #114]: #116 -#36 := [asserted]: #16 -#118 := [mp #36 #117]: #115 -#264 := (or #263 #109) -#265 := [th-lemma arith triangle-eq]: #264 -#536 := [unit-resolution #265 #118]: #263 -#260 := [unit-resolution #536 #259]: false -#538 := [lemma #260]: #534 -#239 := (or #153 #152) -#240 := [def-axiom]: #239 -#251 := [unit-resolution #240 #538]: #153 -#231 := (or #96 #238) -#242 := [def-axiom]: #231 -#252 := [unit-resolution #242 #251]: #238 -#530 := [monotonicity #252]: #535 -#531 := (not #535) -#246 := (or #531 #250) -#528 := [th-lemma arith triangle-eq]: #246 -#532 := [unit-resolution #528 #530]: #250 -#552 := (<= #111 0::Int) -#529 := (or #552 #109) -#533 := [th-lemma arith farkas 1 1]: #529 -#522 := [unit-resolution #533 #118]: #552 -[th-lemma arith farkas 1 1 1 #522 #251 #532]: false -c764f14739302794beeeecf4b3e02d727d24560d 70 0 -unsat -#2 := false -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 decl f5 :: S3 #8 := f5 -#23 := 0::Int -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -#93 := -1::Int -#94 := (* -1::Int #11) #9 := (f3 f4 f5) -#95 := (+ #9 #94) -#96 := (<= #95 0::Int) -#99 := (if #96 f5 f6) -#102 := (f3 f4 #99) -#541 := (= #11 #102) -#238 := (= f6 #99) -#153 := (not #96) -#264 := [hypothesis]: #96 -#109 := (* -1::Int #102) -#110 := (+ #11 #109) -#108 := (>= #110 0::Int) -#115 := (not #108) -#12 := (<= #9 #11) -#13 := (if #12 f5 f6) -#14 := (f3 f4 #13) -#15 := (<= #14 #11) -#16 := (not #15) -#116 := (iff #16 #115) -#113 := (iff #15 #108) -#105 := (<= #102 #11) -#111 := (iff #105 #108) -#112 := [rewrite]: #111 -#106 := (iff #15 #105) -#103 := (= #14 #102) -#100 := (= #13 #99) -#97 := (iff #12 #96) -#98 := [rewrite]: #97 -#101 := [monotonicity #98]: #100 -#104 := [monotonicity #101]: #103 -#107 := [monotonicity #104]: #106 -#114 := [trans #107 #112]: #113 -#117 := [monotonicity #114]: #116 -#36 := [asserted]: #16 -#118 := [mp #36 #117]: #115 -#552 := (+ #9 #109) -#263 := (>= #552 0::Int) -#550 := (= #9 #102) -#152 := (= f5 #99) -#239 := (or #153 #152) -#240 := [def-axiom]: #239 -#265 := [unit-resolution #240 #264]: #152 -#266 := [monotonicity #265]: #550 -#159 := (not #550) -#536 := (or #159 #263) -#537 := [th-lemma arith triangle-eq]: #536 -#259 := [unit-resolution #537 #266]: #263 -#260 := [th-lemma arith farkas -1 1 1 #259 #118 #264]: false -#534 := [lemma #260]: #153 -#231 := (or #96 #238) -#242 := [def-axiom]: #231 -#535 := [unit-resolution #242 #534]: #238 -#539 := [monotonicity #535]: #541 -#249 := (not #541) -#250 := (or #249 #108) -#251 := [th-lemma arith triangle-eq]: #250 -[unit-resolution #251 #118 #539]: false -70478f198d5c721b2266791e6619f9347bb3a4b8 247 0 -unsat -#2 := false -#24 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f5 :: S3 -#8 := f5 -decl f4 :: S2 -#7 := f4 -#9 := (f3 f4 f5) -#505 := (= #9 0::Int) +#57 := -1::Int +#58 := (* -1::Int #11) +#59 := (+ #9 #58) +#60 := (<= #59 0::Int) +#63 := (if #60 #9 #11) +#72 := (* -1::Int #63) +#255 := (+ #9 #72) +#600 := (>= #255 0::Int) +#607 := (not #600) +#617 := (>= #11 0::Int) +#586 := (= #11 0::Int) decl f7 :: (-> S4 Int S3) decl f8 :: S4 -#18 := f8 -#244 := (f7 f8 #9) -#563 := (f3 f4 #244) -#566 := (= #563 0::Int) -#231 := (>= #9 0::Int) -#405 := (not #231) +#17 := f8 +#295 := (f7 f8 #11) +#618 := (f3 f4 #295) +#271 := (= #618 0::Int) +#592 := (not #617) +#439 := [hypothesis]: #592 +#612 := (or #617 #271) +#24 := (:var 0 Int) +#26 := (f7 f8 #24) +#628 := (pattern #26) +#27 := (f3 f4 #26) +#32 := (= #27 0::Int) +#89 := (>= #24 0::Int) +#120 := (or #89 #32) +#635 := (forall (vars (?v0 Int)) (:pat #628) #120) +#123 := (forall (vars (?v0 Int)) #120) +#638 := (iff #123 #635) +#636 := (iff #120 #120) +#637 := [refl]: #636 +#639 := [quant-intro #637]: #638 +#136 := (~ #123 #123) +#144 := (~ #120 #120) +#145 := [refl]: #144 +#137 := [nnf-pos #145]: #136 +#31 := (< #24 0::Int) +#33 := (implies #31 #32) +#34 := (forall (vars (?v0 Int)) #33) +#126 := (iff #34 #123) +#104 := (not #31) +#105 := (or #104 #32) +#108 := (forall (vars (?v0 Int)) #105) +#124 := (iff #108 #123) +#121 := (iff #105 #120) +#118 := (iff #104 #89) +#91 := (not #89) +#113 := (not #91) +#116 := (iff #113 #89) +#117 := [rewrite]: #116 +#114 := (iff #104 #113) +#111 := (iff #31 #91) +#112 := [rewrite]: #111 +#115 := [monotonicity #112]: #114 +#119 := [trans #115 #117]: #118 +#122 := [monotonicity #119]: #121 +#125 := [quant-intro #122]: #124 +#109 := (iff #34 #108) +#106 := (iff #33 #105) +#107 := [rewrite]: #106 +#110 := [quant-intro #107]: #109 +#127 := [trans #110 #125]: #126 +#103 := [asserted]: #34 +#128 := [mp #103 #127]: #123 +#146 := [mp~ #128 #137]: #123 +#640 := [mp #146 #639]: #635 +#619 := (not #635) +#259 := (or #619 #617 #271) +#260 := (or #619 #612) +#262 := (iff #260 #259) +#598 := [rewrite]: #262 +#261 := [quant-inst #11]: #260 +#599 := [mp #261 #598]: #259 +#304 := [unit-resolution #599 #640]: #612 +#454 := [unit-resolution #304 #439]: #271 +#300 := (= #11 #618) +#584 := (= f6 #295) +#299 := (= #295 f6) +#18 := (:var 0 S3) +#19 := (f3 f4 #18) +#621 := (pattern #19) +#20 := (f7 f8 #19) +#21 := (= #20 #18) +#622 := (forall (vars (?v0 S3)) (:pat #621) #21) +#22 := (forall (vars (?v0 S3)) #21) +#625 := (iff #22 #622) +#623 := (iff #21 #21) +#624 := [refl]: #623 +#626 := [quant-intro #624]: #625 +#142 := (~ #22 #22) +#140 := (~ #21 #21) +#141 := [refl]: #140 +#143 := [nnf-pos #141]: #142 +#55 := [asserted]: #22 +#132 := [mp~ #55 #143]: #22 +#627 := [mp #132 #626]: #622 +#278 := (not #622) +#609 := (or #278 #299) +#283 := [quant-inst #10]: #609 +#306 := [unit-resolution #283 #627]: #299 +#585 := [symm #306]: #584 +#582 := [monotonicity #585]: #300 +#456 := [trans #582 #454]: #586 +#457 := (not #586) +#450 := (or #457 #617) +#458 := [th-lemma arith triangle-eq]: #450 +#459 := [unit-resolution #458 #439 #456]: false +#460 := [lemma #459]: #617 +#555 := (or #592 #607) +#73 := (+ #11 #72) +#74 := (+ #9 #73) +#70 := (>= #74 0::Int) +#77 := (not #70) +#14 := (+ #9 #11) +#12 := (<= #9 #11) +#13 := (if #12 #9 #11) +#15 := (<= #13 #14) +#16 := (not #15) +#78 := (iff #16 #77) +#75 := (iff #15 #70) +#66 := (<= #63 #14) +#69 := (iff #66 #70) +#71 := [rewrite]: #69 +#67 := (iff #15 #66) +#64 := (= #13 #63) +#61 := (iff #12 #60) +#62 := [rewrite]: #61 +#65 := [monotonicity #62]: #64 +#68 := [monotonicity #65]: #67 +#76 := [trans #68 #71]: #75 +#79 := [monotonicity #76]: #78 +#54 := [asserted]: #16 +#80 := [mp #54 #79]: #77 +#589 := (or #592 #607 #70) +#593 := [th-lemma arith assign-bounds 1 -1]: #589 +#552 := [unit-resolution #593 #80]: #555 +#556 := [unit-resolution #552 #460]: #607 +#207 := (= #9 #63) +#297 := (f7 f8 #9) +#402 := (f3 f4 #297) +#284 := (= #402 0::Int) +#405 := (iff #284 #207) +#445 := (iff #207 #284) +#562 := (= #63 0::Int) +#424 := (>= #73 0::Int) +#292 := (= #11 #63) +#580 := (iff #284 #292) +#574 := (iff #292 #284) +#587 := (= 0::Int #402) +#578 := (iff #587 #284) +#573 := [commutativity]: #578 +#576 := (iff #292 #587) +#314 := (= #63 #402) +#591 := (= #9 #402) +#319 := (= f5 #297) +#298 := (= #297 f5) +#613 := (or #278 #298) +#615 := [quant-inst #8]: #613 +#318 := [unit-resolution #615 #627]: #298 +#320 := [symm #318]: #319 +#313 := [monotonicity #320]: #591 +#214 := (= #63 #9) +#601 := (not #292) +#602 := [hypothesis]: #601 +#285 := (or #60 #292) +#296 := [def-axiom]: #285 +#597 := [unit-resolution #296 #602]: #60 +#208 := (not #60) +#293 := (or #208 #207) +#294 := [def-axiom]: #293 +#603 := [unit-resolution #294 #597]: #207 +#590 := [symm #603]: #214 +#588 := [trans #590 #313]: #314 +#241 := (not #207) +#604 := (or #241 #600) +#606 := [th-lemma arith triangle-eq]: #604 +#246 := [unit-resolution #606 #603]: #600 +#303 := [unit-resolution #593 #246 #80]: #592 +#305 := [unit-resolution #304 #303]: #271 +#583 := [trans #582 #305]: #586 +#577 := [monotonicity #583 #588]: #576 +#579 := [trans #577 #573]: #574 +#575 := [symm #579]: #580 +#272 := (>= #9 0::Int) +#247 := (not #272) +#605 := (or #247 #208 #607 #70) +#608 := [th-lemma arith assign-bounds -1 1 -1]: #605 +#594 := [unit-resolution #608 #597 #80 #246]: #247 +#616 := (or #272 #284) +#614 := (or #619 #272 #284) +#620 := (or #619 #616) +#270 := (iff #620 #614) +#275 := [rewrite]: #270 +#610 := [quant-inst #9]: #620 +#611 := [mp #610 #275]: #614 +#595 := [unit-resolution #611 #640]: #616 +#317 := [unit-resolution #595 #594]: #284 +#581 := [mp #317 #575]: #292 +#422 := [unit-resolution #602 #581]: false +#423 := [lemma #422]: #292 +#567 := (or #601 #424) +#568 := [th-lemma arith triangle-eq]: #567 +#569 := [unit-resolution #568 #423]: #424 +#566 := [hypothesis]: #241 +#572 := [unit-resolution #294 #566]: #208 +#563 := (not #424) +#401 := (or #592 #563 #60 #70) +#403 := [th-lemma arith assign-bounds 1 1 1]: #401 +#404 := [unit-resolution #403 #572 #80 #569]: #592 +#557 := [unit-resolution #304 #404]: #271 +#561 := (= #63 #618) +#558 := (= #63 #11) +#560 := [symm #423]: #558 +#559 := [trans #560 #582]: #561 +#444 := [trans #559 #557]: #562 +#446 := [monotonicity #313 #444]: #445 +#553 := [symm #446]: #405 +#564 := (or #247 #563 #70) +#570 := [th-lemma arith assign-bounds 1 -1]: #564 +#571 := [unit-resolution #570 #569 #80]: #247 +#565 := [unit-resolution #595 #571]: #284 +#455 := [mp #565 #553]: #207 +#550 := [unit-resolution #566 #455]: false +#551 := [lemma #550]: #207 +[unit-resolution #606 #551 #556]: false +unsat +fe9dfffa2627f52b211026454fe85b424a23c79e 109 0 +#2 := false +#28 := 0::Int +decl f3 :: (-> S2 S3 Int) +decl f7 :: S3 +#13 := f7 +decl f4 :: S2 +#7 := f4 +#14 := (f3 f4 f7) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#94 := -1::Int -#95 := (* -1::Int #11) -#96 := (+ #9 #95) -#97 := (<= #96 0::Int) -#100 := (if #97 f5 f6) -#103 := (f3 f4 #100) -#111 := (* -1::Int #103) -#112 := (+ #9 #11 #111) -#110 := (>= #112 0::Int) -#116 := (not #110) -#15 := (+ #9 #11) -#12 := (<= #9 #11) -#13 := (if #12 f5 f6) -#14 := (f3 f4 #13) -#16 := (<= #14 #15) -#17 := (not #16) -#117 := (iff #17 #116) -#114 := (iff #16 #110) -#106 := (<= #103 #15) -#109 := (iff #106 #110) -#113 := [rewrite]: #109 -#107 := (iff #16 #106) -#104 := (= #14 #103) -#101 := (= #13 #100) -#98 := (iff #12 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#105 := [monotonicity #102]: #104 -#108 := [monotonicity #105]: #107 -#115 := [trans #108 #113]: #114 -#118 := [monotonicity #115]: #117 -#37 := [asserted]: #17 -#119 := [mp #37 #118]: #116 -#542 := (+ #11 #111) -#507 := (>= #542 0::Int) -#511 := (= #11 #103) -#239 := (= f6 #100) -#219 := (f7 f8 #103) -#349 := (= #219 #100) -#19 := (:var 0 S3) -#20 := (f3 f4 #19) -#568 := (pattern #20) -#21 := (f7 f8 #20) -#22 := (= #21 #19) -#569 := (forall (vars (?v0 S3)) (:pat #568) #22) -#23 := (forall (vars (?v0 S3)) #22) -#572 := (iff #23 #569) -#570 := (iff #22 #22) -#571 := [refl]: #570 -#573 := [quant-intro #571]: #572 -#92 := (~ #23 #23) -#142 := (~ #22 #22) -#143 := [refl]: #142 -#93 := [nnf-pos #143]: #92 -#38 := [asserted]: #23 -#146 := [mp~ #38 #93]: #23 -#574 := [mp #146 #573]: #569 -#225 := (not #569) -#564 := (or #225 #349) -#565 := [quant-inst #100]: #564 -#267 := [unit-resolution #565 #574]: #349 -#519 := (= f6 #219) -#242 := (f7 f8 #11) -#518 := (= #242 #219) -#209 := (f3 f4 #219) -#371 := (= #209 #103) -#522 := (= #103 #209) -#532 := (= #100 #219) -#247 := [symm #267]: #532 -#528 := [monotonicity #247]: #522 -#513 := [symm #528]: #371 -#516 := (= #11 #209) -#369 := (= 0::Int #209) -#550 := (= #209 0::Int) -#208 := (>= #103 0::Int) -#536 := (not #208) -#553 := (+ #9 #111) -#264 := (>= #553 0::Int) -#551 := (= #9 #103) -#153 := (= f5 #100) -#265 := (not #239) -#266 := [hypothesis]: #265 -#232 := (or #97 #239) -#243 := [def-axiom]: #232 -#160 := [unit-resolution #243 #266]: #97 -#154 := (not #97) -#240 := (or #154 #153) -#241 := [def-axiom]: #240 -#537 := [unit-resolution #241 #160]: #153 -#538 := [monotonicity #537]: #551 -#260 := (not #551) -#261 := (or #260 #264) -#535 := [th-lemma arith triangle-eq]: #261 -#539 := [unit-resolution #535 #538]: #264 -#540 := (not #264) -#250 := (or #536 #540 #154 #110) -#251 := [th-lemma arith assign-bounds 2 -1 -1]: #250 -#252 := [unit-resolution #251 #160 #119 #539]: #536 -#188 := (or #208 #550) -#25 := (:var 0 Int) -#27 := (f7 f8 #25) -#575 := (pattern #27) -#28 := (f3 f4 #27) -#33 := (= #28 0::Int) -#121 := (>= #25 0::Int) -#133 := (or #121 #33) -#582 := (forall (vars (?v0 Int)) (:pat #575) #133) -#136 := (forall (vars (?v0 Int)) #133) -#585 := (iff #136 #582) -#583 := (iff #133 #133) -#584 := [refl]: #583 -#586 := [quant-intro #584]: #585 -#150 := (~ #136 #136) -#148 := (~ #133 #133) -#149 := [refl]: #148 -#151 := [nnf-pos #149]: #150 -#26 := (<= 0::Int #25) -#65 := (or #26 #33) -#70 := (forall (vars (?v0 Int)) #65) -#137 := (iff #70 #136) -#134 := (iff #65 #133) -#120 := (iff #26 #121) -#122 := [rewrite]: #120 -#135 := [monotonicity #122]: #134 -#138 := [quant-intro #135]: #137 -#32 := (< #25 0::Int) -#34 := (implies #32 #33) -#35 := (forall (vars (?v0 Int)) #34) -#71 := (iff #35 #70) -#68 := (iff #34 #65) -#48 := (not #26) -#62 := (implies #48 #33) -#66 := (iff #62 #65) -#67 := [rewrite]: #66 -#63 := (iff #34 #62) -#57 := (iff #32 #48) -#59 := (iff #48 #48) -#44 := (iff #26 #26) -#45 := [rewrite]: #44 -#60 := [monotonicity #45]: #59 -#58 := [rewrite]: #57 -#61 := [trans #58 #60]: #57 -#64 := [monotonicity #61]: #63 -#69 := [trans #64 #67]: #68 -#72 := [quant-intro #69]: #71 -#40 := [asserted]: #35 -#73 := [mp #40 #72]: #70 -#139 := [mp #73 #138]: #136 -#152 := [mp~ #139 #151]: #136 -#587 := [mp #152 #586]: #582 -#217 := (not #582) -#193 := (or #217 #208 #550) -#194 := (or #217 #188) -#552 := (iff #194 #193) -#555 := [rewrite]: #552 -#554 := [quant-inst #103]: #194 -#541 := [mp #554 #555]: #193 -#253 := [unit-resolution #541 #587]: #188 -#531 := [unit-resolution #253 #252]: #550 -#370 := [symm #531]: #369 -#514 := (= #11 0::Int) -#557 := (f3 f4 #242) -#206 := (= #557 0::Int) -#567 := (>= #11 0::Int) -#529 := (not #567) -#533 := (or #529 #540 #110) -#530 := [th-lemma arith assign-bounds 1 -1]: #533 -#534 := [unit-resolution #530 #539 #119]: #529 -#207 := (or #567 #206) -#545 := (or #217 #567 #206) -#546 := (or #217 #207) -#548 := (iff #546 #545) -#549 := [rewrite]: #548 -#547 := [quant-inst #11]: #546 -#544 := [mp #547 #549]: #545 -#523 := [unit-resolution #544 #587]: #207 -#524 := [unit-resolution #523 #534]: #206 -#526 := (= #11 #557) -#520 := (= f6 #242) -#246 := (= #242 f6) -#556 := (or #225 #246) -#230 := [quant-inst #10]: #556 -#525 := [unit-resolution #230 #574]: #246 -#521 := [symm #525]: #520 -#527 := [monotonicity #521]: #526 -#515 := [trans #527 #524]: #514 -#510 := [trans #515 #370]: #516 -#517 := [trans #510 #513]: #511 -#512 := [monotonicity #517]: #518 -#348 := [trans #521 #512]: #519 -#350 := [trans #348 #267]: #239 -#351 := [unit-resolution #266 #350]: false -#504 := [lemma #351]: #239 -#508 := [monotonicity #504]: #511 -#497 := (not #507) -#498 := [hypothesis]: #497 -#501 := (not #511) -#386 := (or #501 #507) -#401 := [th-lemma arith triangle-eq]: #386 -#403 := [unit-resolution #401 #498 #508]: false -#404 := [lemma #403]: #507 -#406 := (or #405 #497 #110) -#407 := [th-lemma arith assign-bounds 1 -1]: #406 -#408 := [unit-resolution #407 #404 #119]: #405 -#561 := (or #231 #566) -#222 := (or #217 #231 #566) -#558 := (or #217 #561) -#559 := (iff #558 #222) -#202 := [rewrite]: #559 -#218 := [quant-inst #9]: #558 -#543 := [mp #218 #202]: #222 -#409 := [unit-resolution #543 #587]: #561 -#502 := [unit-resolution #409 #408]: #566 -#492 := (= #9 #563) -#503 := (= f5 #244) -#245 := (= #244 f5) -#560 := (or #225 #245) -#562 := [quant-inst #8]: #560 -#499 := [unit-resolution #562 #574]: #245 -#490 := [symm #499]: #503 -#484 := [monotonicity #490]: #492 -#481 := [trans #484 #502]: #505 -#483 := (not #505) -#493 := (or #483 #231) -#494 := [th-lemma arith triangle-eq]: #493 -[unit-resolution #494 #408 #481]: false -989cfc1345d635e466325cf81719187753d0ea0c 134 0 -unsat -#2 := false -decl f3 :: (-> S2 S3 Int) -decl f7 :: S3 -#13 := f7 -decl f6 :: S3 -#10 := f6 -#29 := 0::Int -decl f4 :: S2 -#7 := f4 -#14 := (f3 f4 f7) -#131 := -1::Int -#163 := (* -1::Int #14) -#11 := (f3 f4 f6) -#170 := (+ #11 #163) -#171 := (<= #170 0::Int) -#174 := (if #171 f6 f7) -#177 := (f3 f4 #174) -#565 := (= #14 #177) -#290 := (= f7 #174) -#205 := (not #171) -#204 := (= f6 #174) -#422 := (not #204) -#588 := (= #11 #177) -#579 := [hypothesis]: #204 -#420 := [monotonicity #579]: #588 -#576 := (not #588) -#185 := (* -1::Int #177) -#589 := (+ #11 #185) -#301 := (<= #589 0::Int) -#582 := (not #301) +#67 := -1::Int +#76 := (* -1::Int #14) +#86 := (+ #11 #76) +#87 := (<= #86 0::Int) +#90 := (if #87 #11 #14) +#98 := (* -1::Int #90) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#186 := (+ #9 #185) -#184 := (>= #186 0::Int) +#99 := (+ #9 #98) +#97 := (>= #99 0::Int) +#96 := (not #97) +#77 := (+ #9 #76) +#75 := (>= #77 0::Int) +#74 := (not #75) +#70 := (* -1::Int #11) +#71 := (+ #9 #70) +#69 := (>= #71 0::Int) +#68 := (not #69) +#80 := (and #68 #74) +#83 := (not #80) +#104 := (or #83 #96) +#107 := (not #104) #17 := (<= #11 #14) -#18 := (if #17 f6 f7) -#19 := (f3 f4 #18) -#60 := (<= #19 #9) -#188 := (iff #60 #184) -#180 := (<= #177 #9) -#183 := (iff #180 #184) -#187 := [rewrite]: #183 -#181 := (iff #60 #180) -#178 := (= #19 #177) -#175 := (= #18 #174) -#172 := (iff #17 #171) -#173 := [rewrite]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#189 := [trans #182 #187]: #188 -#61 := (not #60) -#53 := (<= #14 #9) -#54 := (not #53) -#49 := (<= #11 #9) -#50 := (not #49) -#57 := (and #50 #54) -#67 := (not #57) -#68 := (or #67 #61) -#73 := (not #68) -#20 := (< #9 #19) +#18 := (if #17 #11 #14) +#19 := (< #9 #18) #15 := (< #9 #14) #12 := (< #9 #11) #16 := (and #12 #15) -#21 := (implies #16 #20) -#22 := (not #21) -#74 := (iff #22 #73) -#71 := (iff #21 #68) -#64 := (implies #57 #61) -#69 := (iff #64 #68) -#70 := [rewrite]: #69 +#20 := (implies #16 #19) +#21 := (not #20) +#110 := (iff #21 #107) +#60 := (not #16) +#61 := (or #60 #19) +#64 := (not #61) +#108 := (iff #64 #107) +#105 := (iff #61 #104) +#102 := (iff #19 #96) +#93 := (< #9 #90) +#100 := (iff #93 #96) +#101 := [rewrite]: #100 +#94 := (iff #19 #93) +#91 := (= #18 #90) +#88 := (iff #17 #87) +#89 := [rewrite]: #88 +#92 := [monotonicity #89]: #91 +#95 := [monotonicity #92]: #94 +#103 := [trans #95 #101]: #102 +#84 := (iff #60 #83) +#81 := (iff #16 #80) +#78 := (iff #15 #74) +#79 := [rewrite]: #78 +#72 := (iff #12 #68) +#73 := [rewrite]: #72 +#82 := [monotonicity #73 #79]: #81 +#85 := [monotonicity #82]: #84 +#106 := [monotonicity #85 #103]: #105 +#109 := [monotonicity #106]: #108 #65 := (iff #21 #64) #62 := (iff #20 #61) #63 := [rewrite]: #62 -#58 := (iff #16 #57) -#55 := (iff #15 #54) -#56 := [rewrite]: #55 -#51 := (iff #12 #50) -#52 := [rewrite]: #51 -#59 := [monotonicity #52 #56]: #58 -#66 := [monotonicity #59 #63]: #65 -#72 := [trans #66 #70]: #71 -#75 := [monotonicity #72]: #74 -#42 := [asserted]: #22 -#76 := [mp #42 #75]: #73 -#80 := [not-or-elim #76]: #60 -#190 := [mp #80 #189]: #184 -#134 := (* -1::Int #11) -#135 := (+ #9 #134) -#133 := (>= #135 0::Int) -#137 := (not #133) -#138 := (iff #50 #137) -#132 := (iff #49 #133) -#136 := [rewrite]: #132 -#139 := [monotonicity #136]: #138 -#77 := [not-or-elim #76]: #57 -#78 := [and-elim #77]: #50 -#140 := [mp #78 #139]: #137 -#303 := [hypothesis]: #301 -#304 := [th-lemma arith farkas -1 -1 1 #303 #140 #190]: false -#583 := [lemma #304]: #582 -#571 := (or #576 #301) -#572 := [th-lemma arith triangle-eq]: #571 -#573 := [unit-resolution #572 #583]: #576 -#421 := [unit-resolution #573 #420]: false -#564 := [lemma #421]: #422 -#291 := (or #205 #204) -#292 := [def-axiom]: #291 -#567 := [unit-resolution #292 #564]: #205 -#283 := (or #171 #290) -#294 := [def-axiom]: #283 -#561 := [unit-resolution #294 #567]: #290 -#562 := [monotonicity #561]: #565 -#302 := (+ #14 #185) -#298 := (<= #302 0::Int) -#585 := (not #298) -#164 := (+ #9 #163) -#162 := (>= #164 0::Int) -#166 := (not #162) -#167 := (iff #54 #166) -#161 := (iff #53 #162) -#165 := [rewrite]: #161 -#168 := [monotonicity #165]: #167 -#79 := [and-elim #77]: #54 -#169 := [mp #79 #168]: #166 -#584 := [hypothesis]: #298 -#581 := [th-lemma arith farkas -1 -1 1 #584 #169 #190]: false -#574 := [lemma #581]: #585 -#568 := (not #565) -#569 := (or #568 #298) -#563 := [th-lemma arith triangle-eq]: #569 -[unit-resolution #563 #574 #562]: false -369b4cfbe0601f80981c4727d0056934614954c0 151 0 -unsat +#66 := [monotonicity #63]: #65 +#111 := [trans #66 #109]: #110 +#59 := [asserted]: #21 +#112 := [mp #59 #111]: #107 +#116 := [not-or-elim #112]: #97 +#113 := [not-or-elim #112]: #80 +#115 := [and-elim #113]: #74 +#633 := (+ #14 #98) +#630 := (<= #633 0::Int) +#330 := (= #14 #90) +#246 := (not #87) +#245 := (= #11 #90) +#628 := (not #245) +#642 := (+ #11 #98) +#644 := (<= #642 0::Int) +#357 := (not #644) +#114 := [and-elim #113]: #68 +#355 := [hypothesis]: #644 +#356 := [th-lemma arith farkas -1 -1 1 #355 #114 #116]: false +#358 := [lemma #356]: #357 +#252 := [hypothesis]: #245 +#629 := (or #628 #644) +#351 := [th-lemma arith triangle-eq]: #629 +#352 := [unit-resolution #351 #252 #358]: false +#626 := [lemma #352]: #628 +#331 := (or #246 #245) +#332 := [def-axiom]: #331 +#631 := [unit-resolution #332 #626]: #246 +#323 := (or #87 #330) +#334 := [def-axiom]: #323 +#341 := [unit-resolution #334 #631]: #330 +#342 := (not #330) +#343 := (or #342 #630) +#344 := [th-lemma arith triangle-eq]: #343 +#622 := [unit-resolution #344 #341]: #630 +[th-lemma arith farkas -1 -1 1 #622 #115 #116]: false +unsat +5cb55092de9089ed8a3391dc81cfc498bef42803 151 0 #2 := false decl f5 :: S3 #8 := f5 @@ -22454,725 +20964,681 @@ decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#94 := -1::Int -#95 := (* -1::Int #11) +#58 := -1::Int +#59 := (* -1::Int #11) #9 := (f3 f4 f5) -#96 := (+ #9 #95) -#104 := (>= #96 0::Int) -#106 := (if #104 f6 f5) -#97 := (<= #96 0::Int) -#100 := (if #97 f5 f6) -#109 := (= #100 #106) -#240 := (= f6 #106) -#504 := (iff #240 #109) -#501 := (iff #109 #240) -#551 := (= #100 f6) -#235 := (= f6 #100) -#150 := (not #97) -#149 := (= f5 #100) -#507 := (not #149) -#510 := (iff #149 #109) -#367 := (iff #109 #149) -#523 := (= #100 f5) -#365 := (iff #523 #149) -#366 := [commutativity]: #365 -#518 := (iff #109 #523) -#248 := (= #106 f5) -#241 := (= f5 #106) -#542 := (not #241) -#543 := [hypothesis]: #542 -#556 := (or #104 #241) -#558 := [def-axiom]: #556 -#189 := [unit-resolution #558 #543]: #104 -#238 := (not #104) -#242 := (or #238 #240) -#221 := [def-axiom]: #242 -#190 := [unit-resolution #221 #189]: #240 -#519 := (= f5 f6) +#60 := (+ #9 #59) +#68 := (>= #60 0::Int) +#70 := (if #68 f6 f5) +#61 := (<= #60 0::Int) +#64 := (if #61 f5 f6) +#73 := (= #64 #70) +#296 := (= f6 #70) +#560 := (iff #296 #73) +#557 := (iff #73 #296) +#607 := (= #64 f6) +#291 := (= f6 #64) +#207 := (not #61) +#206 := (= f5 #64) +#563 := (not #206) +#566 := (iff #206 #73) +#423 := (iff #73 #206) +#579 := (= #64 f5) +#421 := (iff #579 #206) +#422 := [commutativity]: #421 +#574 := (iff #73 #579) +#304 := (= #70 f5) +#297 := (= f5 #70) +#598 := (not #297) +#599 := [hypothesis]: #598 +#612 := (or #68 #297) +#614 := [def-axiom]: #612 +#245 := [unit-resolution #614 #599]: #68 +#294 := (not #68) +#298 := (or #294 #296) +#277 := [def-axiom]: #298 +#246 := [unit-resolution #277 #245]: #296 +#575 := (= f5 f6) decl f7 :: (-> S4 Int S3) decl f8 :: S4 #18 := f8 -#552 := (f7 f8 #11) -#226 := (= #552 f6) +#608 := (f7 f8 #11) +#282 := (= #608 f6) #19 := (:var 0 S3) #20 := (f3 f4 #19) -#564 := (pattern #20) +#620 := (pattern #20) #21 := (f7 f8 #20) #22 := (= #21 #19) -#565 := (forall (vars (?v0 S3)) (:pat #564) #22) +#621 := (forall (vars (?v0 S3)) (:pat #620) #22) #23 := (forall (vars (?v0 S3)) #22) -#568 := (iff #23 #565) -#566 := (iff #22 #22) -#567 := [refl]: #566 -#569 := [quant-intro #567]: #568 -#138 := (~ #23 #23) -#140 := (~ #22 #22) -#141 := [refl]: #140 -#139 := [nnf-pos #141]: #138 -#38 := [asserted]: #23 -#136 := [mp~ #38 #139]: #23 -#570 := [mp #136 #569]: #565 -#227 := (not #565) -#557 := (or #227 #226) -#563 := [quant-inst #10]: #557 -#246 := [unit-resolution #563 #570]: #226 -#526 := (= f5 #552) -#215 := (f7 f8 #9) -#525 := (= #215 #552) -#249 := (= #552 #215) -#532 := (= #11 #9) -#531 := (= #9 #11) -#156 := (not #235) -#112 := (not #109) -#533 := (iff #112 #156) -#262 := (iff #109 #235) -#260 := (iff #551 #235) -#261 := [commutativity]: #260 -#537 := (iff #109 #551) -#550 := (= #106 f6) -#548 := [symm #190]: #550 -#538 := [monotonicity #548]: #537 -#263 := [trans #538 #261]: #262 -#534 := [monotonicity #263]: #533 +#624 := (iff #23 #621) +#622 := (iff #22 #22) +#623 := [refl]: #622 +#625 := [quant-intro #623]: #624 +#141 := (~ #23 #23) +#139 := (~ #22 #22) +#140 := [refl]: #139 +#142 := [nnf-pos #140]: #141 +#56 := [asserted]: #23 +#131 := [mp~ #56 #142]: #23 +#626 := [mp #131 #625]: #621 +#283 := (not #621) +#613 := (or #283 #282) +#619 := [quant-inst #10]: #613 +#302 := [unit-resolution #619 #626]: #282 +#582 := (= f5 #608) +#271 := (f7 f8 #9) +#581 := (= #271 #608) +#305 := (= #608 #271) +#588 := (= #11 #9) +#587 := (= #9 #11) +#213 := (not #291) +#76 := (not #73) +#589 := (iff #76 #213) +#318 := (iff #73 #291) +#316 := (iff #607 #291) +#317 := [commutativity]: #316 +#593 := (iff #73 #607) +#606 := (= #70 f6) +#604 := [symm #246]: #606 +#594 := [monotonicity #604]: #593 +#319 := [trans #594 #317]: #318 +#590 := [monotonicity #319]: #589 #14 := (<= #11 #9) #15 := (if #14 f6 f5) #12 := (<= #9 #11) #13 := (if #12 f5 f6) #16 := (= #13 #15) #17 := (not #16) -#113 := (iff #17 #112) -#110 := (iff #16 #109) -#107 := (= #15 #106) -#103 := (iff #14 #104) -#105 := [rewrite]: #103 -#108 := [monotonicity #105]: #107 -#101 := (= #13 #100) -#98 := (iff #12 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#111 := [monotonicity #102 #108]: #110 -#114 := [monotonicity #111]: #113 -#37 := [asserted]: #17 -#115 := [mp #37 #114]: #112 -#256 := [mp #115 #534]: #156 -#228 := (or #97 #235) -#239 := [def-axiom]: #228 -#257 := [unit-resolution #239 #256]: #97 -#535 := [th-lemma arith eq-propagate 1 1 #189 #257]: #531 -#536 := [symm #535]: #532 -#527 := [monotonicity #536]: #249 -#529 := [symm #527]: #525 -#528 := (= f5 #215) -#345 := (= #215 f5) -#559 := (or #227 #345) -#560 := [quant-inst #8]: #559 -#549 := [unit-resolution #560 #570]: #345 -#243 := [symm #549]: #528 -#530 := [trans #243 #529]: #526 -#520 := [trans #530 #246]: #519 -#521 := [trans #520 #190]: #241 -#516 := [unit-resolution #543 #521]: false -#517 := [lemma #516]: #241 -#522 := [symm #517]: #248 -#524 := [monotonicity #522]: #518 -#509 := [trans #524 #366]: #367 -#511 := [symm #509]: #510 -#247 := [hypothesis]: #149 -#512 := [mp #247 #511]: #109 -#506 := [unit-resolution #115 #512]: false -#513 := [lemma #506]: #507 -#236 := (or #150 #149) -#237 := [def-axiom]: #236 -#514 := [unit-resolution #237 #513]: #150 -#347 := [unit-resolution #239 #514]: #235 -#500 := [symm #347]: #551 -#503 := [monotonicity #500]: #501 -#502 := [symm #503]: #504 -#508 := (or #104 #97) -#515 := [th-lemma arith farkas 1 1]: #508 -#344 := [unit-resolution #515 #514]: #104 -#346 := [unit-resolution #221 #344]: #240 -#505 := [mp #346 #502]: #109 -[unit-resolution #115 #505]: false -07eaca6d75830c4f4db4caa421c6648570513c0f 242 0 -unsat -#2 := false +#77 := (iff #17 #76) +#74 := (iff #16 #73) +#71 := (= #15 #70) +#67 := (iff #14 #68) +#69 := [rewrite]: #67 +#72 := [monotonicity #69]: #71 +#65 := (= #13 #64) +#62 := (iff #12 #61) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#75 := [monotonicity #66 #72]: #74 +#78 := [monotonicity #75]: #77 +#55 := [asserted]: #17 +#79 := [mp #55 #78]: #76 +#312 := [mp #79 #590]: #213 +#284 := (or #61 #291) +#295 := [def-axiom]: #284 +#313 := [unit-resolution #295 #312]: #61 +#591 := [th-lemma arith eq-propagate 1 1 #245 #313]: #587 +#592 := [symm #591]: #588 +#583 := [monotonicity #592]: #305 +#585 := [symm #583]: #581 +#584 := (= f5 #271) +#401 := (= #271 f5) +#615 := (or #283 #401) +#616 := [quant-inst #8]: #615 +#605 := [unit-resolution #616 #626]: #401 +#299 := [symm #605]: #584 +#586 := [trans #299 #585]: #582 +#576 := [trans #586 #302]: #575 +#577 := [trans #576 #246]: #297 +#572 := [unit-resolution #599 #577]: false +#573 := [lemma #572]: #297 +#578 := [symm #573]: #304 +#580 := [monotonicity #578]: #574 +#565 := [trans #580 #422]: #423 +#567 := [symm #565]: #566 +#303 := [hypothesis]: #206 +#568 := [mp #303 #567]: #73 +#562 := [unit-resolution #79 #568]: false +#569 := [lemma #562]: #563 +#292 := (or #207 #206) +#293 := [def-axiom]: #292 +#570 := [unit-resolution #293 #569]: #207 +#403 := [unit-resolution #295 #570]: #291 +#556 := [symm #403]: #607 +#559 := [monotonicity #556]: #557 +#558 := [symm #559]: #560 +#564 := (or #68 #61) +#571 := [th-lemma arith farkas 1 1]: #564 +#400 := [unit-resolution #571 #570]: #68 +#402 := [unit-resolution #277 #400]: #296 +#561 := [mp #402 #558]: #73 +[unit-resolution #79 #561]: false +unsat +dfbdf9498a779cc07990188555d390512d351434 141 0 +#2 := false +#10 := 0::Int +decl f3 :: (-> S2 S3 Int) decl f6 :: (-> S4 Int S3) -#11 := 0::Int -decl f7 :: S4 -#10 := f7 -#12 := (f6 f7 0::Int) decl f5 :: S3 #8 := f5 -decl f3 :: (-> S2 S3 Int) -decl f4 :: S2 -#7 := f4 -#13 := (f3 f4 #12) -#92 := -1::Int -#93 := (* -1::Int #13) +decl f4 :: S2 +#7 := f4 #9 := (f3 f4 f5) -#94 := (+ #9 #93) -#95 := (<= #94 0::Int) -#98 := (if #95 f5 #12) -#227 := (= #12 #98) -#141 := (= f5 #98) -#519 := (not #227) -#101 := (= #98 #12) -#104 := (not #101) -#520 := (iff #104 #519) -#240 := (iff #101 #227) -#241 := [commutativity]: #240 -#235 := [monotonicity #241]: #520 -#14 := (<= #9 #13) -#15 := (if #14 f5 #12) -#16 := (= #15 #12) -#17 := (not #16) -#105 := (iff #17 #104) -#102 := (iff #16 #101) -#99 := (= #15 #98) -#96 := (iff #14 #95) -#97 := [rewrite]: #96 -#100 := [monotonicity #97]: #99 -#103 := [monotonicity #100]: #102 -#106 := [monotonicity #103]: #105 -#35 := [asserted]: #17 -#107 := [mp #35 #106]: #104 -#517 := [mp #107 #235]: #519 -#220 := (or #95 #227) -#231 := [def-axiom]: #220 -#521 := [unit-resolution #231 #517]: #95 -#142 := (not #95) -#228 := (or #142 #141) -#229 := [def-axiom]: #228 -#503 := [unit-resolution #229 #521]: #141 -#496 := (= #12 f5) -#232 := (f6 f7 #9) -#233 := (= #232 f5) -#18 := (:var 0 S3) -#19 := (f3 f4 #18) -#556 := (pattern #19) -#20 := (f6 f7 #19) -#21 := (= #20 #18) -#557 := (forall (vars (?v0 S3)) (:pat #556) #21) -#22 := (forall (vars (?v0 S3)) #21) -#560 := (iff #22 #557) -#558 := (iff #21 #21) -#559 := [refl]: #558 -#561 := [quant-intro #559]: #560 -#130 := (~ #22 #22) -#128 := (~ #21 #21) -#129 := [refl]: #128 -#131 := [nnf-pos #129]: #130 -#36 := [asserted]: #22 -#134 := [mp~ #36 #131]: #22 -#562 := [mp #134 #561]: #557 -#213 := (not #557) -#548 := (or #213 #233) -#550 := [quant-inst #8]: #548 -#516 := [unit-resolution #550 #562]: #233 -#339 := (= #12 #232) -#336 := (= 0::Int #9) -#255 := (f3 f4 #232) -#357 := (= #255 #9) -#499 := (= #9 #255) -#504 := (= f5 #232) -#498 := [symm #516]: #504 -#505 := [monotonicity #498]: #499 -#507 := [symm #505]: #357 -#506 := (= 0::Int #255) -#148 := (= #255 0::Int) -#542 := (= #9 0::Int) -#248 := (<= #9 0::Int) -#541 := (<= #13 0::Int) -#219 := (= #13 0::Int) -#23 := (:var 0 Int) -#25 := (f6 f7 #23) -#563 := (pattern #25) -#26 := (f3 f4 #25) -#27 := (= #26 #23) -#109 := (>= #23 0::Int) -#111 := (not #109) -#114 := (or #111 #27) -#564 := (forall (vars (?v0 Int)) (:pat #563) #114) -#117 := (forall (vars (?v0 Int)) #114) -#567 := (iff #117 #564) -#565 := (iff #114 #114) -#566 := [refl]: #565 -#568 := [quant-intro #566]: #567 -#133 := (~ #117 #117) -#135 := (~ #114 #114) -#132 := [refl]: #135 -#90 := [nnf-pos #132]: #133 -#24 := (<= 0::Int #23) -#46 := (not #24) -#47 := (or #46 #27) -#51 := (forall (vars (?v0 Int)) #47) -#118 := (iff #51 #117) -#115 := (iff #47 #114) -#112 := (iff #46 #111) -#108 := (iff #24 #109) -#110 := [rewrite]: #108 -#113 := [monotonicity #110]: #112 -#116 := [monotonicity #113]: #115 -#119 := [quant-intro #116]: #118 -#28 := (implies #24 #27) -#29 := (forall (vars (?v0 Int)) #28) -#52 := (iff #29 #51) -#48 := (iff #28 #47) -#49 := [rewrite]: #48 -#44 := (iff #28 #28) -#42 := (iff #24 #24) -#43 := [rewrite]: #42 -#45 := [monotonicity #43]: #44 -#50 := [trans #45 #49]: #48 -#53 := [quant-intro #50]: #52 -#37 := [asserted]: #29 -#54 := [mp #37 #53]: #51 -#120 := [mp #54 #119]: #117 -#91 := [mp~ #120 #90]: #117 -#569 := [mp #91 #568]: #564 -#197 := (not #564) -#533 := (or #197 #219) -#207 := (>= 0::Int 0::Int) -#337 := (not #207) -#551 := (or #337 #219) -#534 := (or #197 #551) -#536 := (iff #534 #533) -#532 := (iff #533 #533) -#538 := [rewrite]: #532 -#195 := (iff #551 #219) -#206 := (or false #219) -#531 := (iff #206 #219) -#194 := [rewrite]: #531 -#547 := (iff #551 #206) -#210 := (iff #337 false) -#1 := true -#554 := (not true) -#545 := (iff #554 false) -#205 := [rewrite]: #545 -#549 := (iff #337 #554) -#552 := (iff #207 true) -#553 := [rewrite]: #552 -#555 := [monotonicity #553]: #549 -#546 := [trans #555 #205]: #210 -#190 := [monotonicity #546]: #547 -#196 := [trans #190 #194]: #195 -#537 := [monotonicity #196]: #536 -#176 := [trans #537 #538]: #536 -#535 := [quant-inst #11]: #534 -#539 := [mp #535 #176]: #533 -#518 := [unit-resolution #539 #569]: #219 -#522 := (not #219) -#511 := (or #522 #541) -#512 := [th-lemma arith triangle-eq]: #511 -#513 := [unit-resolution #512 #518]: #541 -#508 := (not #248) -#509 := [hypothesis]: #508 -#514 := [th-lemma arith farkas -1 1 1 #509 #513 #521]: false -#515 := [lemma #514]: #248 -#254 := (>= #9 0::Int) -#540 := (not #148) -#543 := [hypothesis]: #540 -#525 := (or #254 #148) -#31 := (= #26 0::Int) -#121 := (or #109 #31) -#570 := (forall (vars (?v0 Int)) (:pat #563) #121) -#124 := (forall (vars (?v0 Int)) #121) -#573 := (iff #124 #570) -#571 := (iff #121 #121) -#572 := [refl]: #571 -#574 := [quant-intro #572]: #573 -#138 := (~ #124 #124) -#136 := (~ #121 #121) -#137 := [refl]: #136 -#139 := [nnf-pos #137]: #138 -#63 := (or #24 #31) -#68 := (forall (vars (?v0 Int)) #63) -#125 := (iff #68 #124) -#122 := (iff #63 #121) -#123 := [monotonicity #110]: #122 -#126 := [quant-intro #123]: #125 -#30 := (< #23 0::Int) -#32 := (implies #30 #31) -#33 := (forall (vars (?v0 Int)) #32) -#69 := (iff #33 #68) -#66 := (iff #32 #63) -#60 := (implies #46 #31) -#64 := (iff #60 #63) -#65 := [rewrite]: #64 -#61 := (iff #32 #60) -#55 := (iff #30 #46) -#57 := (iff #46 #46) -#58 := [monotonicity #43]: #57 -#56 := [rewrite]: #55 -#59 := [trans #56 #58]: #55 -#62 := [monotonicity #59]: #61 -#67 := [trans #62 #65]: #66 -#70 := [quant-intro #67]: #69 -#38 := [asserted]: #33 -#71 := [mp #38 #70]: #68 -#127 := [mp #71 #126]: #124 -#140 := [mp~ #127 #139]: #124 -#575 := [mp #140 #574]: #570 -#249 := (not #570) -#523 := (or #249 #254 #148) -#527 := (or #249 #525) -#528 := (iff #527 #523) -#238 := [rewrite]: #528 -#524 := [quant-inst #9]: #527 -#239 := [mp #524 #238]: #523 -#529 := [unit-resolution #239 #575]: #525 -#530 := [unit-resolution #529 #543]: #254 -#252 := (not #254) -#253 := (or #542 #508 #252) -#526 := [th-lemma arith triangle-eq]: #253 -#510 := [unit-resolution #526 #530 #515]: #542 -#358 := [monotonicity #516]: #357 -#359 := [trans #358 #510]: #148 -#501 := [unit-resolution #543 #359]: false -#502 := [lemma #501]: #148 -#500 := [symm #502]: #506 -#338 := [trans #500 #507]: #336 -#492 := [monotonicity #338]: #339 -#494 := [trans #492 #516]: #496 -#497 := [trans #494 #503]: #227 -[unit-resolution #517 #497]: false -023391835b440558305b8b251ef349da3d22790f 70 0 -unsat -#2 := false +decl f7 :: S4 +#12 := f7 +#272 := (f6 f7 #9) +#570 := (f3 f4 #272) +#277 := (= #570 0::Int) +#543 := (= #9 0::Int) +#11 := (<= #9 0::Int) +#13 := (f6 f7 0::Int) +#14 := (if #11 f5 #13) +#266 := (= #13 #14) +#567 := (not #266) +#15 := (= #14 #13) +#16 := (not #15) +#564 := (iff #16 #567) +#293 := (iff #15 #266) +#294 := [commutativity]: #293 +#568 := [monotonicity #294]: #564 +#52 := [asserted]: #16 +#278 := [mp #52 #568]: #567 +#259 := (or #11 #266) +#270 := [def-axiom]: #259 +#279 := [unit-resolution #270 #278]: #11 +#569 := (>= #9 0::Int) +#541 := (not #277) +#181 := (= f5 #14) +#182 := (not #11) +#267 := (or #182 #181) +#268 := [def-axiom]: #267 +#280 := [unit-resolution #268 #279]: #181 +#556 := (= #13 f5) +#269 := (= #272 f5) +#17 := (:var 0 S3) +#18 := (f3 f4 #17) +#596 := (pattern #18) +#19 := (f6 f7 #18) +#20 := (= #19 #17) +#597 := (forall (vars (?v0 S3)) (:pat #596) #20) +#21 := (forall (vars (?v0 S3)) #20) +#600 := (iff #21 #597) +#598 := (iff #20 #20) +#599 := [refl]: #598 +#601 := [quant-intro #599]: #600 +#116 := (~ #21 #21) +#114 := (~ #20 #20) +#115 := [refl]: #114 +#117 := [nnf-pos #115]: #116 +#53 := [asserted]: #21 +#106 := [mp~ #53 #117]: #21 +#602 := [mp #106 #601]: #597 +#588 := (not #597) +#590 := (or #588 #269) +#246 := [quant-inst #8]: #590 +#281 := [unit-resolution #246 #602]: #269 +#549 := (= #13 #272) +#553 := (= 0::Int #9) +#551 := (= #570 #9) +#557 := (= #9 #570) +#560 := (= f5 #272) +#274 := [symm #281]: #560 +#561 := [monotonicity #274]: #557 +#552 := [symm #561]: #551 +#558 := (= 0::Int #570) +#559 := [hypothesis]: #277 +#562 := [symm #559]: #558 +#548 := [trans #562 #552]: #553 +#554 := [monotonicity #548]: #549 +#397 := [trans #554 #281]: #556 +#398 := [trans #397 #280]: #266 +#399 := [unit-resolution #278 #398]: false +#542 := [lemma #399]: #541 +#292 := (or #569 #277) +#22 := (:var 0 Int) +#24 := (f6 f7 #22) +#603 := (pattern #24) +#25 := (f3 f4 #24) +#30 := (= #25 0::Int) +#64 := (>= #22 0::Int) +#94 := (or #64 #30) +#610 := (forall (vars (?v0 Int)) (:pat #603) #94) +#97 := (forall (vars (?v0 Int)) #94) +#613 := (iff #97 #610) +#611 := (iff #94 #94) +#612 := [refl]: #611 +#614 := [quant-intro #612]: #613 +#110 := (~ #97 #97) +#118 := (~ #94 #94) +#119 := [refl]: #118 +#111 := [nnf-pos #119]: #110 +#29 := (< #22 0::Int) +#31 := (implies #29 #30) +#32 := (forall (vars (?v0 Int)) #31) +#100 := (iff #32 #97) +#78 := (not #29) +#79 := (or #78 #30) +#82 := (forall (vars (?v0 Int)) #79) +#98 := (iff #82 #97) +#95 := (iff #79 #94) +#92 := (iff #78 #64) +#65 := (not #64) +#87 := (not #65) +#90 := (iff #87 #64) +#91 := [rewrite]: #90 +#88 := (iff #78 #87) +#85 := (iff #29 #65) +#86 := [rewrite]: #85 +#89 := [monotonicity #86]: #88 +#93 := [trans #89 #91]: #92 +#96 := [monotonicity #93]: #95 +#99 := [quant-intro #96]: #98 +#83 := (iff #32 #82) +#80 := (iff #31 #79) +#81 := [rewrite]: #80 +#84 := [quant-intro #81]: #83 +#101 := [trans #84 #99]: #100 +#77 := [asserted]: #32 +#102 := [mp #77 #101]: #97 +#120 := [mp~ #102 #111]: #97 +#615 := [mp #120 #614]: #610 +#295 := (not #610) +#188 := (or #295 #569 #277) +#565 := (or #295 #292) +#288 := (iff #565 #188) +#289 := [rewrite]: #288 +#566 := [quant-inst #9]: #565 +#563 := [mp #566 #289]: #188 +#555 := [unit-resolution #563 #615]: #292 +#550 := [unit-resolution #555 #542]: #569 +#544 := [th-lemma arith eq-propagate 0 0 #550 #279]: #543 +#538 := [monotonicity #281]: #551 +#539 := [trans #538 #544]: #277 +[unit-resolution #542 #539]: false +unsat +812e594047adacc8648774584661958380724a55 62 0 +#2 := false +#22 := 0::Int decl f3 :: (-> S2 S3 Int) decl f5 :: S3 #8 := f5 +decl f4 :: S2 +#7 := f4 +#9 := (f3 f4 f5) decl f6 :: S3 #10 := f6 -#23 := 0::Int +#11 := (f3 f4 f6) +#56 := -1::Int +#57 := (* -1::Int #11) +#58 := (+ #9 #57) +#59 := (<= #58 0::Int) +#62 := (if #59 #11 #9) +#68 := (* -1::Int #62) +#69 := (+ #9 #68) +#70 := (<= #69 0::Int) +#75 := (not #70) +#12 := (<= #9 #11) +#13 := (if #12 #11 #9) +#14 := (<= #9 #13) +#15 := (not #14) +#76 := (iff #15 #75) +#73 := (iff #14 #70) +#65 := (<= #9 #62) +#71 := (iff #65 #70) +#72 := [rewrite]: #71 +#66 := (iff #14 #65) +#63 := (= #13 #62) +#60 := (iff #12 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 +#74 := [trans #67 #72]: #73 +#77 := [monotonicity #74]: #76 +#53 := [asserted]: #15 +#78 := [mp #53 #77]: #75 +#290 := (= #9 #62) +#206 := (not #59) +#599 := [hypothesis]: #59 +#253 := (+ #11 #68) +#594 := (<= #253 0::Int) +#205 := (= #11 #62) +#291 := (or #206 #205) +#292 := [def-axiom]: #291 +#600 := [unit-resolution #292 #599]: #205 +#595 := (not #205) +#601 := (or #595 #594) +#239 := [th-lemma arith triangle-eq]: #601 +#602 := [unit-resolution #239 #600]: #594 +#604 := [th-lemma arith farkas 1 -1 1 #602 #78 #599]: false +#244 := [lemma #604]: #206 +#283 := (or #59 #290) +#294 := [def-axiom]: #283 +#245 := [unit-resolution #294 #244]: #290 +#605 := (not #290) +#603 := (or #605 #70) +#606 := [th-lemma arith triangle-eq]: #603 +[unit-resolution #606 #245 #78]: false +unsat +4d3aa2ede700d1c10ea9ca78d1cd42eb1d9ac7f6 62 0 +#2 := false +#22 := 0::Int +decl f3 :: (-> S2 S3 Int) +decl f6 :: S3 +#10 := f6 decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#93 := -1::Int -#94 := (* -1::Int #11) -#9 := (f3 f4 f5) -#95 := (+ #9 #94) -#96 := (<= #95 0::Int) -#99 := (if #96 f6 f5) -#102 := (f3 f4 #99) -#263 := (= #9 #102) -#238 := (= f5 #99) -#153 := (not #96) -#264 := [hypothesis]: #96 -#108 := (* -1::Int #102) -#109 := (+ #9 #108) -#110 := (<= #109 0::Int) -#115 := (not #110) -#12 := (<= #9 #11) -#13 := (if #12 f6 f5) -#14 := (f3 f4 #13) -#15 := (<= #9 #14) -#16 := (not #15) -#116 := (iff #16 #115) -#113 := (iff #15 #110) -#105 := (<= #9 #102) -#111 := (iff #105 #110) -#112 := [rewrite]: #111 -#106 := (iff #15 #105) -#103 := (= #14 #102) -#100 := (= #13 #99) -#97 := (iff #12 #96) -#98 := [rewrite]: #97 -#101 := [monotonicity #98]: #100 -#104 := [monotonicity #101]: #103 -#107 := [monotonicity #104]: #106 -#114 := [trans #107 #112]: #113 -#117 := [monotonicity #114]: #116 -#36 := [asserted]: #16 -#118 := [mp #36 #117]: #115 -#552 := (+ #11 #108) -#541 := (<= #552 0::Int) -#550 := (= #11 #102) -#152 := (= f6 #99) -#239 := (or #153 #152) -#240 := [def-axiom]: #239 -#265 := [unit-resolution #240 #264]: #152 -#266 := [monotonicity #265]: #550 -#159 := (not #550) -#536 := (or #159 #541) -#537 := [th-lemma arith triangle-eq]: #536 -#259 := [unit-resolution #537 #266]: #541 -#260 := [th-lemma arith farkas 1 -1 1 #259 #118 #264]: false -#534 := [lemma #260]: #153 -#231 := (or #96 #238) -#242 := [def-axiom]: #231 -#535 := [unit-resolution #242 #534]: #238 -#539 := [monotonicity #535]: #263 -#249 := (not #263) -#250 := (or #249 #110) -#251 := [th-lemma arith triangle-eq]: #250 -[unit-resolution #251 #118 #539]: false -de9a0b9ce99106c695a3982a129801da9aa3b403 76 0 -unsat -#2 := false -#23 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 decl f5 :: S3 #8 := f5 -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -#93 := -1::Int -#96 := (* -1::Int #11) #9 := (f3 f4 f5) -#97 := (+ #9 #96) -#95 := (>= #97 0::Int) -#99 := (if #95 f5 f6) -#102 := (f3 f4 #99) -#108 := (* -1::Int #102) -#539 := (+ #11 #108) -#249 := (<= #539 0::Int) -#535 := (= #11 #102) -#238 := (= f6 #99) -#153 := (not #95) -#152 := (= f5 #99) -#534 := (not #152) -#550 := (= #9 #102) -#537 := [hypothesis]: #152 -#259 := [monotonicity #537]: #550 -#263 := (not #550) -#109 := (+ #9 #108) -#110 := (<= #109 0::Int) -#115 := (not #110) +#56 := -1::Int +#59 := (* -1::Int #11) +#60 := (+ #9 #59) +#58 := (>= #60 0::Int) +#62 := (if #58 #9 #11) +#68 := (* -1::Int #62) +#253 := (+ #11 #68) +#239 := (<= #253 0::Int) +#290 := (= #11 #62) +#206 := (not #58) +#205 := (= #9 #62) +#598 := (not #205) +#69 := (+ #9 #68) +#70 := (<= #69 0::Int) +#75 := (not #70) #12 := (<= #11 #9) -#13 := (if #12 f5 f6) -#14 := (f3 f4 #13) -#15 := (<= #9 #14) -#16 := (not #15) -#116 := (iff #16 #115) -#113 := (iff #15 #110) -#105 := (<= #9 #102) -#111 := (iff #105 #110) -#112 := [rewrite]: #111 -#106 := (iff #15 #105) -#103 := (= #14 #102) -#100 := (= #13 #99) -#94 := (iff #12 #95) -#98 := [rewrite]: #94 -#101 := [monotonicity #98]: #100 -#104 := [monotonicity #101]: #103 -#107 := [monotonicity #104]: #106 -#114 := [trans #107 #112]: #113 -#117 := [monotonicity #114]: #116 -#36 := [asserted]: #16 -#118 := [mp #36 #117]: #115 -#264 := (or #263 #110) -#265 := [th-lemma arith triangle-eq]: #264 -#536 := [unit-resolution #265 #118]: #263 -#260 := [unit-resolution #536 #259]: false -#538 := [lemma #260]: #534 -#239 := (or #153 #152) -#240 := [def-axiom]: #239 -#251 := [unit-resolution #240 #538]: #153 -#231 := (or #95 #238) -#242 := [def-axiom]: #231 -#252 := [unit-resolution #242 #251]: #238 -#530 := [monotonicity #252]: #535 -#531 := (not #535) -#246 := (or #531 #249) -#528 := [th-lemma arith triangle-eq]: #246 -#532 := [unit-resolution #528 #530]: #249 -#552 := (>= #109 0::Int) -#529 := (or #552 #110) -#533 := [th-lemma arith farkas 1 1]: #529 -#522 := [unit-resolution #533 #118]: #552 -[th-lemma arith farkas 1 1 1 #522 #251 #532]: false -e2d5671413f0e92bd5580899b040818b49d8e5b4 479 0 -unsat -#2 := false -#30 := 0::Int +#13 := (if #12 #9 #11) +#14 := (<= #9 #13) +#15 := (not #14) +#76 := (iff #15 #75) +#73 := (iff #14 #70) +#65 := (<= #9 #62) +#71 := (iff #65 #70) +#72 := [rewrite]: #71 +#66 := (iff #14 #65) +#63 := (= #13 #62) +#57 := (iff #12 #58) +#61 := [rewrite]: #57 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 +#74 := [trans #67 #72]: #73 +#77 := [monotonicity #74]: #76 +#53 := [asserted]: #15 +#78 := [mp #53 #77]: #75 +#594 := [hypothesis]: #205 +#599 := (or #598 #70) +#600 := [th-lemma arith triangle-eq]: #599 +#595 := [unit-resolution #600 #594 #78]: false +#601 := [lemma #595]: #598 +#291 := (or #206 #205) +#292 := [def-axiom]: #291 +#604 := [unit-resolution #292 #601]: #206 +#283 := (or #58 #290) +#294 := [def-axiom]: #283 +#244 := [unit-resolution #294 #604]: #290 +#245 := (not #290) +#605 := (or #245 #239) +#603 := [th-lemma arith triangle-eq]: #605 +#606 := [unit-resolution #603 #244]: #239 +[th-lemma arith farkas 1 1 1 #78 #604 #606]: false +unsat +231f97166ce8df86a8011ff98d1fa9f68fa8398e 409 0 +#2 := false +#29 := 0::Int decl f3 :: (-> S2 S3 Int) -decl f7 :: S3 -#9 := f7 -decl f4 :: S2 -#7 := f4 -#10 := (f3 f4 f7) -#387 := (= #10 0::Int) decl f5 :: (-> S4 Int S3) -decl f6 :: S4 -#8 := f6 -#298 := (f5 f6 #10) -#406 := (f3 f4 #298) -#554 := (= #406 0::Int) -#447 := (>= #10 0::Int) -#384 := (not #447) decl f8 :: S3 #11 := f8 +decl f4 :: S2 +#7 := f4 #12 := (f3 f4 f8) -#50 := -1::Int -#51 := (* -1::Int #12) -#52 := (+ #10 #51) -#147 := (<= #52 0::Int) -#150 := (if #147 f8 f7) -#153 := (f3 f4 #150) -#159 := (* -1::Int #153) -#400 := (+ #12 #159) -#407 := (<= #400 0::Int) -#506 := (= #12 #153) -#207 := (= f8 #150) -#61 := (* -1::Int #10) -#129 := (+ #61 #12) -#132 := (f5 f6 #129) -#135 := (f3 f4 #132) -#570 := (= #135 0::Int) -#435 := (not #570) -#445 := (<= #135 0::Int) -#414 := (not #445) -#541 := (>= #153 0::Int) -#505 := (= #153 0::Int) -#620 := (f5 f6 #153) -#542 := (f3 f4 #620) -#532 := (= #542 0::Int) -#487 := (not #541) -#488 := [hypothesis]: #487 -#533 := (or #541 #532) -#31 := (:var 0 Int) -#33 := (f5 f6 #31) -#629 := (pattern #33) -#34 := (f3 f4 #33) -#39 := (= #34 0::Int) -#175 := (>= #31 0::Int) -#187 := (or #175 #39) -#636 := (forall (vars (?v0 Int)) (:pat #629) #187) -#190 := (forall (vars (?v0 Int)) #187) -#639 := (iff #190 #636) -#637 := (iff #187 #187) -#638 := [refl]: #637 -#640 := [quant-intro #638]: #639 -#204 := (~ #190 #190) -#202 := (~ #187 #187) -#203 := [refl]: #202 -#205 := [nnf-pos #203]: #204 -#32 := (<= 0::Int #31) -#102 := (or #32 #39) -#107 := (forall (vars (?v0 Int)) #102) -#191 := (iff #107 #190) -#188 := (iff #102 #187) -#174 := (iff #32 #175) -#176 := [rewrite]: #174 -#189 := [monotonicity #176]: #188 -#192 := [quant-intro #189]: #191 -#38 := (< #31 0::Int) -#40 := (implies #38 #39) -#41 := (forall (vars (?v0 Int)) #40) -#108 := (iff #41 #107) -#105 := (iff #40 #102) -#85 := (not #32) -#99 := (implies #85 #39) -#103 := (iff #99 #102) -#104 := [rewrite]: #103 -#100 := (iff #40 #99) -#94 := (iff #38 #85) -#96 := (iff #85 #85) -#81 := (iff #32 #32) -#82 := [rewrite]: #81 -#97 := [monotonicity #82]: #96 -#95 := [rewrite]: #94 -#98 := [trans #95 #97]: #94 -#101 := [monotonicity #98]: #100 -#106 := [trans #101 #104]: #105 -#109 := [quant-intro #106]: #108 -#46 := [asserted]: #41 -#110 := [mp #46 #109]: #107 -#193 := [mp #110 #192]: #190 -#206 := [mp~ #193 #205]: #190 -#641 := [mp #206 #640]: #636 -#214 := (not #636) -#520 := (or #214 #541 #532) -#521 := (or #214 #533) -#524 := (iff #521 #520) -#525 := [rewrite]: #524 -#523 := [quant-inst #153]: #521 -#522 := [mp #523 #525]: #520 -#489 := [unit-resolution #522 #641]: #533 -#492 := [unit-resolution #489 #488]: #532 -#490 := (= #153 #542) -#494 := (= #150 #620) -#615 := (= #620 #150) -#25 := (:var 0 S3) -#26 := (f3 f4 #25) -#622 := (pattern #26) -#27 := (f5 f6 #26) -#28 := (= #27 #25) -#623 := (forall (vars (?v0 S3)) (:pat #622) #28) -#29 := (forall (vars (?v0 S3)) #28) -#626 := (iff #29 #623) -#624 := (iff #28 #28) -#625 := [refl]: #624 -#627 := [quant-intro #625]: #626 -#198 := (~ #29 #29) -#200 := (~ #28 #28) -#201 := [refl]: #200 -#199 := [nnf-pos #201]: #198 -#44 := [asserted]: #29 -#196 := [mp~ #44 #199]: #29 -#628 := [mp #196 #627]: #623 -#279 := (not #623) -#612 := (or #279 #615) -#272 := [quant-inst #150]: #612 -#493 := [unit-resolution #272 #628]: #615 -#495 := [symm #493]: #494 -#496 := [monotonicity #495]: #490 -#469 := [trans #496 #492]: #505 -#470 := (not #505) -#471 := (or #470 #541) -#364 := [th-lemma arith triangle-eq]: #471 -#475 := [unit-resolution #364 #488 #469]: false -#476 := [lemma #475]: #541 -#55 := (f5 f6 #52) -#58 := (f3 f4 #55) -#160 := (+ #58 #135 #159) -#161 := (<= #160 0::Int) -#166 := (not #161) +decl f7 :: S3 +#9 := f7 +#10 := (f3 f4 f7) +#61 := -1::Int +#72 := (* -1::Int #10) +#73 := (+ #72 #12) +decl f6 :: S4 +#8 := f6 +#76 := (f5 f6 #73) +#79 := (f3 f4 #76) +#62 := (* -1::Int #12) +#341 := (+ #62 #79) +#619 := (+ #10 #341) +#459 := (<= #619 0::Int) +#620 := (= #619 0::Int) +#63 := (+ #10 #62) +#91 := (<= #63 0::Int) +#94 := (if #91 #12 #10) +#100 := (* -1::Int #94) +#564 := (+ #10 #100) +#540 := (<= #564 0::Int) +#521 := (not #540) +#594 := (<= #79 0::Int) +#602 := (= #79 0::Int) +#243 := (not #91) +#487 := [hypothesis]: #243 +#604 := (or #91 #602) +#30 := (:var 0 Int) +#32 := (f5 f6 #30) +#663 := (pattern #32) +#33 := (f3 f4 #32) +#38 := (= #33 0::Int) +#124 := (>= #30 0::Int) +#155 := (or #124 #38) +#670 := (forall (vars (?v0 Int)) (:pat #663) #155) +#158 := (forall (vars (?v0 Int)) #155) +#673 := (iff #158 #670) +#671 := (iff #155 #155) +#672 := [refl]: #671 +#674 := [quant-intro #672]: #673 +#171 := (~ #158 #158) +#179 := (~ #155 #155) +#180 := [refl]: #179 +#172 := [nnf-pos #180]: #171 +#37 := (< #30 0::Int) +#39 := (implies #37 #38) +#40 := (forall (vars (?v0 Int)) #39) +#161 := (iff #40 #158) +#139 := (not #37) +#140 := (or #139 #38) +#143 := (forall (vars (?v0 Int)) #140) +#159 := (iff #143 #158) +#156 := (iff #140 #155) +#153 := (iff #139 #124) +#126 := (not #124) +#148 := (not #126) +#151 := (iff #148 #124) +#152 := [rewrite]: #151 +#149 := (iff #139 #148) +#146 := (iff #37 #126) +#147 := [rewrite]: #146 +#150 := [monotonicity #147]: #149 +#154 := [trans #150 #152]: #153 +#157 := [monotonicity #154]: #156 +#160 := [quant-intro #157]: #159 +#144 := (iff #40 #143) +#141 := (iff #39 #140) +#142 := [rewrite]: #141 +#145 := [quant-intro #142]: #144 +#162 := [trans #145 #160]: #161 +#138 := [asserted]: #40 +#163 := [mp #138 #162]: #158 +#181 := [mp~ #163 #172]: #158 +#675 := [mp #181 #674]: #670 +#353 := (not #670) +#605 := (or #353 #91 #602) +#630 := (>= #73 0::Int) +#603 := (or #630 #602) +#606 := (or #353 #603) +#593 := (iff #606 #605) +#607 := (or #353 #604) +#439 := (iff #607 #605) +#592 := [rewrite]: #439 +#436 := (iff #606 #607) +#598 := (iff #603 #604) +#628 := (iff #630 #91) +#338 := [rewrite]: #628 +#599 := [monotonicity #338]: #598 +#438 := [monotonicity #599]: #436 +#595 := [trans #438 #592]: #593 +#600 := [quant-inst #73]: #606 +#596 := [mp #600 #595]: #605 +#488 := [unit-resolution #596 #675]: #604 +#498 := [unit-resolution #488 #487]: #602 +#478 := (not #602) +#499 := (or #478 #594) +#454 := [th-lemma arith triangle-eq]: #499 +#455 := [unit-resolution #454 #498]: #594 +#539 := (not #594) +#466 := (or #539 #521) +#66 := (f5 f6 #63) +#69 := (f3 f4 #66) +#647 := (* -1::Int #69) +#290 := (+ #62 #647) +#631 := (+ #10 #290) +#640 := (>= #631 0::Int) +#646 := (= #631 0::Int) +#654 := (>= #63 0::Int) +#573 := (+ #12 #100) +#574 := (<= #573 0::Int) +#558 := (not #574) +#349 := (<= #69 0::Int) +#643 := (= #69 0::Int) +#649 := (not #654) +#527 := [hypothesis]: #649 +#629 := (or #654 #643) +#354 := (or #353 #654 #643) +#355 := (or #353 #629) +#625 := (iff #355 #354) +#626 := [rewrite]: #625 +#249 := [quant-inst #63]: #355 +#348 := [mp #249 #626]: #354 +#514 := [unit-resolution #348 #675]: #629 +#517 := [unit-resolution #514 #527]: #643 +#518 := (not #643) +#519 := (or #518 #349) +#515 := [th-lemma arith triangle-eq]: #519 +#520 := [unit-resolution #515 #517]: #349 +#479 := (>= #10 0::Int) +#560 := (= #10 0::Int) +#332 := (f5 f6 #10) +#480 := (f3 f4 #332) +#481 := (= #480 0::Int) +#554 := (not #479) +#541 := [hypothesis]: #554 +#440 := (or #479 #481) +#585 := (or #353 #479 #481) +#586 := (or #353 #440) +#474 := (iff #586 #585) +#489 := [rewrite]: #474 +#589 := [quant-inst #10]: #586 +#491 := [mp #589 #489]: #585 +#543 := [unit-resolution #491 #675]: #440 +#544 := [unit-resolution #543 #541]: #481 +#548 := (= #10 #480) +#546 := (= f7 #332) +#333 := (= #332 f7) +#24 := (:var 0 S3) +#25 := (f3 f4 #24) +#656 := (pattern #25) +#26 := (f5 f6 #25) +#27 := (= #26 #24) +#657 := (forall (vars (?v0 S3)) (:pat #656) #27) +#28 := (forall (vars (?v0 S3)) #27) +#660 := (iff #28 #657) +#658 := (iff #27 #27) +#659 := [refl]: #658 +#661 := [quant-intro #659]: #660 +#177 := (~ #28 #28) +#175 := (~ #27 #27) +#176 := [refl]: #175 +#178 := [nnf-pos #176]: #177 +#114 := [asserted]: #28 +#167 := [mp~ #114 #178]: #28 +#662 := [mp #167 #661]: #657 +#313 := (not #657) +#648 := (or #313 #333) +#650 := [quant-inst #9]: #648 +#545 := [unit-resolution #650 #662]: #333 +#547 := [symm #545]: #546 +#549 := [monotonicity #547]: #548 +#550 := [trans #549 #544]: #560 +#551 := (not #560) +#552 := (or #551 #479) +#542 := [th-lemma arith triangle-eq]: #552 +#553 := [unit-resolution #542 #541 #550]: false +#531 := [lemma #553]: #479 +#500 := (or #654 #91) +#446 := [th-lemma arith farkas 1 1]: #500 +#501 := [unit-resolution #446 #527]: #91 +#621 := (or #243 #620) +#34 := (= #33 #30) +#129 := (or #126 #34) +#664 := (forall (vars (?v0 Int)) (:pat #663) #129) +#132 := (forall (vars (?v0 Int)) #129) +#667 := (iff #132 #664) +#665 := (iff #129 #129) +#666 := [refl]: #665 +#668 := [quant-intro #666]: #667 +#169 := (~ #132 #132) +#168 := (~ #129 #129) +#165 := [refl]: #168 +#170 := [nnf-pos #165]: #169 +#31 := (<= 0::Int #30) +#35 := (implies #31 #34) +#36 := (forall (vars (?v0 Int)) #35) +#135 := (iff #36 #132) +#116 := (not #31) +#117 := (or #116 #34) +#120 := (forall (vars (?v0 Int)) #117) +#133 := (iff #120 #132) +#130 := (iff #117 #129) +#127 := (iff #116 #126) +#123 := (iff #31 #124) +#125 := [rewrite]: #123 +#128 := [monotonicity #125]: #127 +#131 := [monotonicity #128]: #130 +#134 := [quant-intro #131]: #133 +#121 := (iff #36 #120) +#118 := (iff #35 #117) +#119 := [rewrite]: #118 +#122 := [quant-intro #119]: #121 +#136 := [trans #122 #134]: #135 +#115 := [asserted]: #36 +#137 := [mp #115 #136]: #132 +#166 := [mp~ #137 #170]: #132 +#669 := [mp #166 #668]: #664 +#633 := (not #664) +#611 := (or #633 #243 #620) +#627 := (= #79 #73) +#352 := (not #630) +#624 := (or #352 #627) +#612 := (or #633 #624) +#616 := (iff #612 #611) +#608 := (or #633 #621) +#615 := (iff #608 #611) +#610 := [rewrite]: #615 +#609 := (iff #612 #608) +#618 := (iff #624 #621) +#335 := (iff #627 #620) +#617 := [rewrite]: #335 +#339 := (iff #352 #243) +#340 := [monotonicity #338]: #339 +#622 := [monotonicity #340 #617]: #618 +#614 := [monotonicity #622]: #609 +#457 := [trans #614 #610]: #616 +#613 := [quant-inst #73]: #612 +#458 := [mp #613 #457]: #611 +#482 := [unit-resolution #458 #669]: #621 +#506 := [unit-resolution #482 #501]: #620 +#507 := (not #620) +#502 := (or #507 #459) +#508 := [th-lemma arith triangle-eq]: #502 +#476 := [unit-resolution #508 #506]: #459 +#557 := (not #459) +#555 := (not #349) +#559 := (or #554 #555 #557 #558) +#565 := [hypothesis]: #574 +#566 := [hypothesis]: #479 +#567 := [hypothesis]: #459 +#101 := (+ #79 #100) +#102 := (+ #69 #101) +#103 := (<= #102 0::Int) +#108 := (not #103) #20 := (<= #10 #12) -#21 := (if #20 f8 f7) -#22 := (f3 f4 #21) -#62 := (+ #12 #61) -#65 := (f5 f6 #62) -#68 := (f3 f4 #65) -#71 := (+ #58 #68) -#74 := (<= #71 #22) -#77 := (not #74) -#169 := (iff #77 #166) -#138 := (+ #58 #135) -#141 := (<= #138 #22) -#144 := (not #141) -#167 := (iff #144 #166) -#164 := (iff #141 #161) -#156 := (<= #138 #153) -#162 := (iff #156 #161) -#163 := [rewrite]: #162 -#157 := (iff #141 #156) -#154 := (= #22 #153) -#151 := (= #21 #150) -#148 := (iff #20 #147) -#149 := [rewrite]: #148 -#152 := [monotonicity #149]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#165 := [trans #158 #163]: #164 -#168 := [monotonicity #165]: #167 -#145 := (iff #77 #144) -#142 := (iff #74 #141) -#139 := (= #71 #138) -#136 := (= #68 #135) -#133 := (= #65 #132) -#130 := (= #62 #129) -#131 := [rewrite]: #130 -#134 := [monotonicity #131]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#143 := [monotonicity #140]: #142 -#146 := [monotonicity #143]: #145 -#170 := [trans #146 #168]: #169 +#21 := (if #20 #12 #10) #16 := (- #12 #10) #17 := (f5 f6 #16) #18 := (f3 f4 #17) @@ -23180,425 +21646,254 @@ #14 := (f5 f6 #13) #15 := (f3 f4 #14) #19 := (+ #15 #18) -#23 := (<= #19 #22) -#24 := (not #23) -#78 := (iff #24 #77) -#75 := (iff #23 #74) -#72 := (= #19 #71) -#69 := (= #18 #68) -#66 := (= #17 #65) -#63 := (= #16 #62) -#64 := [rewrite]: #63 -#67 := [monotonicity #64]: #66 -#70 := [monotonicity #67]: #69 -#59 := (= #15 #58) -#56 := (= #14 #55) -#53 := (= #13 #52) -#54 := [rewrite]: #53 -#57 := [monotonicity #54]: #56 -#60 := [monotonicity #57]: #59 -#73 := [monotonicity #60 #70]: #72 -#76 := [monotonicity #73]: #75 -#79 := [monotonicity #76]: #78 -#43 := [asserted]: #24 -#80 := [mp #43 #79]: #77 -#171 := [mp #80 #170]: #166 -#590 := (<= #58 0::Int) -#318 := (= #58 0::Int) -#534 := (+ #10 #159) -#526 := (<= #534 0::Int) -#529 := (= #10 #153) -#293 := (= f7 #150) -#208 := (not #147) -#468 := (not #590) -#512 := (not #318) -#477 := [hypothesis]: #512 -#449 := (or #318 #468) -#594 := (>= #58 0::Int) -#273 := (f5 f6 #58) -#461 := (f3 f4 #273) -#462 := (= #461 0::Int) -#500 := (not #462) -#501 := (iff #512 #500) -#497 := (iff #318 #462) -#508 := (iff #462 #318) -#517 := (= #461 #58) -#403 := (= #273 #55) -#618 := (or #279 #403) -#619 := [quant-inst #55]: #618 -#516 := [unit-resolution #619 #628]: #403 -#518 := [monotonicity #516]: #517 -#519 := [monotonicity #518]: #508 -#498 := [symm #519]: #497 -#502 := [monotonicity #498]: #501 -#507 := (not #594) -#509 := [hypothesis]: #507 -#513 := (or #512 #594) -#514 := [th-lemma arith triangle-eq]: #513 -#515 := [unit-resolution #514 #509]: #512 -#503 := [mp #515 #502]: #500 -#538 := (or #594 #462) -#547 := (or #214 #594 #462) -#548 := (or #214 #538) -#545 := (iff #548 #547) -#550 := [rewrite]: #545 -#549 := [quant-inst #58]: #548 -#539 := [mp #549 #550]: #547 -#510 := [unit-resolution #539 #641]: #538 -#511 := [unit-resolution #510 #509]: #462 -#504 := [unit-resolution #511 #503]: false -#499 := [lemma #504]: #594 -#474 := (or #318 #468 #507) -#442 := [th-lemma arith triangle-eq]: #474 -#408 := [unit-resolution #442 #499]: #449 -#439 := [unit-resolution #408 #477]: #468 -#260 := (* -1::Int #58) -#261 := (+ #10 #51 #260) -#596 := (>= #261 0::Int) -#597 := (= #261 0::Int) -#271 := (>= #52 0::Int) -#319 := (or #271 #318) -#591 := (or #214 #271 #318) -#592 := (or #214 #319) -#315 := (iff #592 #591) -#589 := [rewrite]: #315 -#314 := [quant-inst #52]: #592 -#593 := [mp #314 #589]: #591 -#441 := [unit-resolution #593 #641]: #319 -#443 := [unit-resolution #441 #477]: #271 -#276 := (not #271) -#599 := (or #276 #597) -#35 := (= #34 #31) -#177 := (not #175) -#180 := (or #177 #35) -#630 := (forall (vars (?v0 Int)) (:pat #629) #180) -#183 := (forall (vars (?v0 Int)) #180) -#633 := (iff #183 #630) -#631 := (iff #180 #180) -#632 := [refl]: #631 -#634 := [quant-intro #632]: #633 -#195 := (~ #183 #183) -#197 := (~ #180 #180) -#194 := [refl]: #197 -#172 := [nnf-pos #194]: #195 -#86 := (or #85 #35) -#90 := (forall (vars (?v0 Int)) #86) -#184 := (iff #90 #183) -#181 := (iff #86 #180) -#178 := (iff #85 #177) -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [quant-intro #182]: #184 -#36 := (implies #32 #35) -#37 := (forall (vars (?v0 Int)) #36) -#91 := (iff #37 #90) -#87 := (iff #36 #86) -#88 := [rewrite]: #87 -#83 := (iff #36 #36) -#84 := [monotonicity #82]: #83 -#89 := [trans #84 #88]: #87 -#92 := [quant-intro #89]: #91 -#45 := [asserted]: #37 -#93 := [mp #45 #92]: #90 -#186 := [mp #93 #185]: #183 -#173 := [mp~ #186 #172]: #183 -#635 := [mp #173 #634]: #630 -#602 := (not #630) -#603 := (or #602 #276 #597) -#613 := (= #58 #52) -#256 := (or #276 #613) -#598 := (or #602 #256) -#608 := (iff #598 #603) -#242 := (or #602 #599) -#247 := (iff #242 #603) -#248 := [rewrite]: #247 -#605 := (iff #598 #242) -#600 := (iff #256 #599) -#262 := (iff #613 #597) -#263 := [rewrite]: #262 -#601 := [monotonicity #263]: #600 -#607 := [monotonicity #601]: #605 -#606 := [trans #607 #248]: #608 -#604 := [quant-inst #52]: #598 -#609 := [mp #604 #606]: #603 -#450 := [unit-resolution #609 #635]: #599 -#452 := [unit-resolution #450 #443]: #597 -#453 := (not #597) -#454 := (or #453 #596) -#464 := [th-lemma arith triangle-eq]: #454 -#444 := [unit-resolution #464 #452]: #596 -#465 := (not #596) -#420 := (or #208 #590 #465) -#421 := [th-lemma arith assign-bounds -1 -1]: #420 -#426 := [unit-resolution #421 #444 #439]: #208 -#286 := (or #147 #293) -#297 := [def-axiom]: #286 -#427 := [unit-resolution #297 #426]: #293 -#428 := [monotonicity #427]: #529 -#429 := (not #529) -#430 := (or #429 #526) -#431 := [th-lemma arith triangle-eq]: #430 -#432 := [unit-resolution #431 #428]: #526 -#565 := (or #147 #570) -#566 := (or #214 #147 #570) -#320 := (>= #129 0::Int) -#564 := (or #320 #570) -#573 := (or #214 #564) -#562 := (iff #573 #566) -#404 := (or #214 #565) -#559 := (iff #404 #566) -#561 := [rewrite]: #559 -#405 := (iff #573 #404) -#571 := (iff #564 #565) -#306 := (iff #320 #147) -#307 := [rewrite]: #306 -#572 := [monotonicity #307]: #571 -#558 := [monotonicity #572]: #405 -#560 := [trans #558 #561]: #562 -#402 := [quant-inst #129]: #573 -#563 := [mp #402 #560]: #566 -#433 := [unit-resolution #563 #641]: #565 -#434 := [unit-resolution #433 #426]: #570 -#436 := (or #435 #445) -#437 := [th-lemma arith triangle-eq]: #436 -#422 := [unit-resolution #437 #434]: #445 -#551 := (>= #12 0::Int) -#491 := (= #12 0::Int) -#296 := (f5 f6 #12) -#552 := (f3 f4 #296) -#459 := (= #552 0::Int) -#482 := (not #551) -#478 := [hypothesis]: #482 -#460 := (or #551 #459) -#463 := (or #214 #551 #459) -#556 := (or #214 #460) -#557 := (iff #556 #463) -#544 := [rewrite]: #557 -#553 := [quant-inst #12]: #556 -#546 := [mp #553 #544]: #463 -#479 := [unit-resolution #546 #641]: #460 -#480 := [unit-resolution #479 #478]: #459 -#481 := (= #12 #552) -#484 := (= f8 #296) -#300 := (= #296 f8) -#610 := (or #279 #300) -#284 := [quant-inst #11]: #610 -#483 := [unit-resolution #284 #628]: #300 -#485 := [symm #483]: #484 -#486 := [monotonicity #485]: #481 -#466 := [trans #486 #480]: #491 -#412 := (not #491) -#467 := (or #412 #551) -#448 := [th-lemma arith triangle-eq]: #467 -#472 := [unit-resolution #448 #478 #466]: false -#473 := [lemma #472]: #551 -#438 := [th-lemma arith farkas -1 -1 1 -1 1 #473 #444 #422 #171 #432]: false -#399 := [lemma #438]: #318 -#410 := (or #512 #590) -#411 := [th-lemma arith triangle-eq]: #410 -#413 := [unit-resolution #411 #399]: #590 -#415 := (or #414 #487 #161 #468) -#416 := [th-lemma arith assign-bounds -1 -1 1]: #415 -#417 := [unit-resolution #416 #413 #171 #476]: #414 -#418 := [unit-resolution #437 #417]: #435 -#401 := [unit-resolution #433 #418]: #147 -#294 := (or #208 #207) -#295 := [def-axiom]: #294 -#419 := [unit-resolution #295 #401]: #207 -#389 := [monotonicity #419]: #506 -#390 := (not #506) -#391 := (or #390 #407) -#392 := [th-lemma arith triangle-eq]: #391 -#394 := [unit-resolution #392 #389]: #407 -#301 := (+ #10 #51 #135) -#568 := (<= #301 0::Int) -#583 := (= #301 0::Int) -#588 := (or #208 #583) -#579 := (or #602 #208 #583) -#304 := (= #135 #129) -#321 := (not #320) -#305 := (or #321 #304) -#574 := (or #602 #305) -#424 := (iff #574 #579) -#580 := (or #602 #588) -#582 := (iff #580 #579) -#423 := [rewrite]: #582 -#581 := (iff #574 #580) -#577 := (iff #305 #588) -#587 := (iff #304 #583) -#584 := [rewrite]: #587 -#585 := (iff #321 #208) -#586 := [monotonicity #307]: #585 -#578 := [monotonicity #586 #584]: #577 -#576 := [monotonicity #578]: #581 -#425 := [trans #576 #423]: #424 -#575 := [quant-inst #129]: #574 -#567 := [mp #575 #425]: #579 -#395 := [unit-resolution #567 #635]: #588 -#396 := [unit-resolution #395 #401]: #583 -#239 := (not #583) -#397 := (or #239 #568) -#393 := [th-lemma arith triangle-eq]: #397 -#398 := [unit-resolution #393 #396]: #568 -#377 := [hypothesis]: #447 -#380 := [th-lemma arith farkas 1 -1 1 -1 1 #413 #377 #398 #171 #394]: false -#386 := [lemma #380]: #384 -#456 := (or #447 #554) -#555 := (or #214 #447 #554) -#440 := (or #214 #456) -#457 := (iff #440 #555) -#458 := [rewrite]: #457 -#455 := [quant-inst #10]: #440 -#451 := [mp #455 #458]: #555 -#388 := [unit-resolution #451 #641]: #456 -#376 := [unit-resolution #388 #386]: #554 -#378 := (= #10 #406) -#381 := (= f7 #298) -#299 := (= #298 f7) -#614 := (or #279 #299) -#616 := [quant-inst #9]: #614 -#379 := [unit-resolution #616 #628]: #299 -#382 := [symm #379]: #381 -#383 := [monotonicity #382]: #378 -#373 := [trans #383 #376]: #387 -#363 := (not #387) -#365 := (or #363 #447) -#366 := [th-lemma arith triangle-eq]: #365 -[unit-resolution #366 #386 #373]: false -160657a6999b6fa22bbfbba0cea75e9e766dc484 131 0 -unsat -#2 := false -#29 := 0::Int +#22 := (<= #19 #21) +#23 := (not #22) +#111 := (iff #23 #108) +#82 := (+ #69 #79) +#85 := (<= #82 #21) +#88 := (not #85) +#109 := (iff #88 #108) +#106 := (iff #85 #103) +#97 := (<= #82 #94) +#104 := (iff #97 #103) +#105 := [rewrite]: #104 +#98 := (iff #85 #97) +#95 := (= #21 #94) +#92 := (iff #20 #91) +#93 := [rewrite]: #92 +#96 := [monotonicity #93]: #95 +#99 := [monotonicity #96]: #98 +#107 := [trans #99 #105]: #106 +#110 := [monotonicity #107]: #109 +#89 := (iff #23 #88) +#86 := (iff #22 #85) +#83 := (= #19 #82) +#80 := (= #18 #79) +#77 := (= #17 #76) +#74 := (= #16 #73) +#75 := [rewrite]: #74 +#78 := [monotonicity #75]: #77 +#81 := [monotonicity #78]: #80 +#70 := (= #15 #69) +#67 := (= #14 #66) +#64 := (= #13 #63) +#65 := [rewrite]: #64 +#68 := [monotonicity #65]: #67 +#71 := [monotonicity #68]: #70 +#84 := [monotonicity #71 #81]: #83 +#87 := [monotonicity #84]: #86 +#90 := [monotonicity #87]: #89 +#112 := [trans #90 #110]: #111 +#60 := [asserted]: #23 +#113 := [mp #60 #112]: #108 +#563 := [hypothesis]: #349 +#568 := [th-lemma arith farkas 1 -1 1 -1 1 #563 #113 #567 #566 #565]: false +#556 := [lemma #568]: #559 +#483 := [unit-resolution #556 #476 #531 #520]: #558 +#242 := (= #12 #94) +#328 := (or #243 #242) +#329 := [def-axiom]: #328 +#442 := [unit-resolution #329 #501]: #242 +#473 := (not #242) +#475 := (or #473 #574) +#477 := [th-lemma arith triangle-eq]: #475 +#484 := [unit-resolution #477 #442 #483]: false +#486 := [lemma #484]: #654 +#295 := (or #649 #646) +#634 := (or #633 #649 #646) +#305 := (= #69 #63) +#310 := (or #649 #305) +#635 := (or #633 #310) +#641 := (iff #635 #634) +#637 := (or #633 #295) +#276 := (iff #637 #634) +#639 := [rewrite]: #276 +#632 := (iff #635 #637) +#296 := (iff #310 #295) +#306 := (iff #305 #646) +#294 := [rewrite]: #306 +#297 := [monotonicity #294]: #296 +#638 := [monotonicity #297]: #632 +#281 := [trans #638 #639]: #641 +#636 := [quant-inst #63]: #635 +#282 := [mp #636 #281]: #634 +#460 := [unit-resolution #282 #669]: #295 +#461 := [unit-resolution #460 #486]: #646 +#462 := (not #646) +#463 := (or #462 #640) +#464 := [th-lemma arith triangle-eq]: #463 +#465 := [unit-resolution #464 #461]: #640 +#588 := (>= #12 0::Int) +#526 := (= #12 0::Int) +#330 := (f5 f6 #12) +#490 := (f3 f4 #330) +#492 := (= #490 0::Int) +#533 := (not #588) +#528 := [hypothesis]: #533 +#485 := (or #588 #492) +#495 := (or #353 #588 #492) +#496 := (or #353 #485) +#590 := (iff #496 #495) +#587 := [rewrite]: #590 +#497 := [quant-inst #12]: #496 +#591 := [mp #497 #587]: #495 +#529 := [unit-resolution #591 #675]: #485 +#524 := [unit-resolution #529 #528]: #492 +#505 := (= #12 #490) +#503 := (= f8 #330) +#334 := (= #330 f8) +#644 := (or #313 #334) +#318 := [quant-inst #11]: #644 +#530 := [unit-resolution #318 #662]: #334 +#504 := [symm #530]: #503 +#398 := [monotonicity #504]: #505 +#509 := [trans #398 #524]: #526 +#510 := (not #526) +#511 := (or #510 #588) +#516 := [th-lemma arith triangle-eq]: #511 +#512 := [unit-resolution #516 #528 #509]: false +#513 := [lemma #512]: #588 +#525 := (not #640) +#522 := (or #533 #539 #525 #521) +#534 := [hypothesis]: #540 +#535 := [hypothesis]: #588 +#536 := [hypothesis]: #640 +#537 := [hypothesis]: #594 +#538 := [th-lemma arith farkas -1 1 -1 -1 1 #113 #537 #536 #535 #534]: false +#523 := [lemma #538]: #522 +#467 := [unit-resolution #523 #513 #465]: #466 +#468 := [unit-resolution #467 #455]: #521 +#327 := (= #10 #94) +#320 := (or #91 #327) +#331 := [def-axiom]: #320 +#469 := [unit-resolution #331 #487]: #327 +#470 := (not #327) +#471 := (or #470 #540) +#456 := [th-lemma arith triangle-eq]: #471 +#472 := [unit-resolution #456 #469 #468]: false +#433 := [lemma #472]: #91 +#434 := [unit-resolution #482 #433]: #620 +#441 := [unit-resolution #508 #434]: #459 +#443 := [unit-resolution #329 #433]: #242 +#444 := [unit-resolution #477 #443]: #574 +#445 := (or #349 #525 #243) +#447 := [th-lemma arith assign-bounds 1 -1]: #445 +#448 := [unit-resolution #447 #465 #433]: #349 +#449 := (or #555 #557 #558) +#450 := [unit-resolution #556 #531]: #449 +[unit-resolution #450 #448 #444 #441]: false +unsat +f2081c9ce72ee506fa1abe41bc9504adb41b6a70 109 0 +#2 := false +#28 := 0::Int decl f3 :: (-> S2 S3 Int) decl f5 :: S3 #8 := f5 +decl f4 :: S2 +#7 := f4 +#9 := (f3 f4 f5) decl f7 :: S3 #13 := f7 -decl f4 :: S2 -#7 := f4 #14 := (f3 f4 f7) -#131 := -1::Int -#161 := (* -1::Int #14) -#9 := (f3 f4 f5) -#170 := (+ #9 #161) -#171 := (<= #170 0::Int) -#174 := (if #171 f7 f5) -#177 := (f3 f4 #174) -#183 := (* -1::Int #177) +#67 := -1::Int +#74 := (* -1::Int #14) +#86 := (+ #9 #74) +#87 := (<= #86 0::Int) +#90 := (if #87 #14 #9) +#96 := (* -1::Int #90) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#184 := (+ #11 #183) -#185 := (<= #184 0::Int) +#97 := (+ #11 #96) +#98 := (<= #97 0::Int) +#99 := (not #98) +#75 := (+ #11 #74) +#76 := (<= #75 0::Int) +#77 := (not #76) +#70 := (* -1::Int #11) +#71 := (+ #9 #70) +#69 := (>= #71 0::Int) +#68 := (not #69) +#80 := (and #68 #77) +#83 := (not #80) +#104 := (or #83 #99) +#107 := (not #104) #17 := (<= #9 #14) -#18 := (if #17 f7 f5) -#19 := (f3 f4 #18) -#60 := (<= #11 #19) -#188 := (iff #60 #185) -#180 := (<= #11 #177) -#186 := (iff #180 #185) -#187 := [rewrite]: #186 -#181 := (iff #60 #180) -#178 := (= #19 #177) -#175 := (= #18 #174) -#172 := (iff #17 #171) -#173 := [rewrite]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#189 := [trans #182 #187]: #188 -#61 := (not #60) -#53 := (<= #11 #14) -#54 := (not #53) -#49 := (<= #11 #9) -#50 := (not #49) -#57 := (and #50 #54) -#67 := (not #57) -#68 := (or #67 #61) -#73 := (not #68) -#20 := (< #19 #11) +#18 := (if #17 #14 #9) +#19 := (< #18 #11) #15 := (< #14 #11) #12 := (< #9 #11) #16 := (and #12 #15) -#21 := (implies #16 #20) -#22 := (not #21) -#74 := (iff #22 #73) -#71 := (iff #21 #68) -#64 := (implies #57 #61) -#69 := (iff #64 #68) -#70 := [rewrite]: #69 +#20 := (implies #16 #19) +#21 := (not #20) +#110 := (iff #21 #107) +#60 := (not #16) +#61 := (or #60 #19) +#64 := (not #61) +#108 := (iff #64 #107) +#105 := (iff #61 #104) +#102 := (iff #19 #99) +#93 := (< #90 #11) +#100 := (iff #93 #99) +#101 := [rewrite]: #100 +#94 := (iff #19 #93) +#91 := (= #18 #90) +#88 := (iff #17 #87) +#89 := [rewrite]: #88 +#92 := [monotonicity #89]: #91 +#95 := [monotonicity #92]: #94 +#103 := [trans #95 #101]: #102 +#84 := (iff #60 #83) +#81 := (iff #16 #80) +#78 := (iff #15 #77) +#79 := [rewrite]: #78 +#72 := (iff #12 #68) +#73 := [rewrite]: #72 +#82 := [monotonicity #73 #79]: #81 +#85 := [monotonicity #82]: #84 +#106 := [monotonicity #85 #103]: #105 +#109 := [monotonicity #106]: #108 #65 := (iff #21 #64) #62 := (iff #20 #61) #63 := [rewrite]: #62 -#58 := (iff #16 #57) -#55 := (iff #15 #54) -#56 := [rewrite]: #55 -#51 := (iff #12 #50) -#52 := [rewrite]: #51 -#59 := [monotonicity #52 #56]: #58 -#66 := [monotonicity #59 #63]: #65 -#72 := [trans #66 #70]: #71 -#75 := [monotonicity #72]: #74 -#42 := [asserted]: #22 -#76 := [mp #42 #75]: #73 -#80 := [not-or-elim #76]: #60 -#190 := [mp #80 #189]: #185 -#134 := (* -1::Int #11) -#135 := (+ #9 #134) -#133 := (>= #135 0::Int) -#137 := (not #133) -#138 := (iff #50 #137) -#132 := (iff #49 #133) -#136 := [rewrite]: #132 -#139 := [monotonicity #136]: #138 -#77 := [not-or-elim #76]: #57 -#78 := [and-elim #77]: #50 -#140 := [mp #78 #139]: #137 -#579 := (+ #9 #183) -#421 := (>= #579 0::Int) -#573 := (= #9 #177) -#290 := (= f5 #174) -#205 := (not #171) -#204 := (= f7 #174) -#577 := (not #204) -#588 := (= #14 #177) -#576 := [hypothesis]: #204 -#571 := [monotonicity #576]: #588 -#580 := (not #588) -#589 := (+ #14 #183) -#302 := (>= #589 0::Int) -#582 := (not #302) -#162 := (+ #11 #161) -#163 := (<= #162 0::Int) -#166 := (not #163) -#167 := (iff #54 #166) -#164 := (iff #53 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#79 := [and-elim #77]: #54 -#169 := [mp #79 #168]: #166 -#303 := [hypothesis]: #302 -#304 := [th-lemma arith farkas -1 -1 1 #303 #169 #190]: false -#583 := [lemma #304]: #582 -#584 := (or #580 #302) -#581 := [th-lemma arith triangle-eq]: #584 -#575 := [unit-resolution #581 #583]: #580 -#572 := [unit-resolution #575 #571]: false -#578 := [lemma #572]: #577 -#291 := (or #205 #204) -#292 := [def-axiom]: #291 -#422 := [unit-resolution #292 #578]: #205 -#283 := (or #171 #290) -#294 := [def-axiom]: #283 -#564 := [unit-resolution #294 #422]: #290 -#565 := [monotonicity #564]: #573 -#566 := (not #573) -#567 := (or #566 #421) -#561 := [th-lemma arith triangle-eq]: #567 -#562 := [unit-resolution #561 #565]: #421 -[th-lemma arith farkas -1 1 1 #562 #140 #190]: false -fb8c3e38f29442a2c97cb122a92a02cfe400dc8f 149 0 -unsat +#66 := [monotonicity #63]: #65 +#111 := [trans #66 #109]: #110 +#59 := [asserted]: #21 +#112 := [mp #59 #111]: #107 +#116 := [not-or-elim #112]: #98 +#113 := [not-or-elim #112]: #80 +#114 := [and-elim #113]: #68 +#644 := (+ #9 #96) +#627 := (>= #644 0::Int) +#330 := (= #9 #90) +#246 := (not #87) +#245 := (= #14 #90) +#628 := (not #245) +#642 := (+ #14 #96) +#633 := (>= #642 0::Int) +#357 := (not #633) +#115 := [and-elim #113]: #77 +#355 := [hypothesis]: #633 +#356 := [th-lemma arith farkas -1 -1 1 #355 #115 #116]: false +#358 := [lemma #356]: #357 +#252 := [hypothesis]: #245 +#629 := (or #628 #633) +#351 := [th-lemma arith triangle-eq]: #629 +#352 := [unit-resolution #351 #252 #358]: false +#626 := [lemma #352]: #628 +#331 := (or #246 #245) +#332 := [def-axiom]: #331 +#631 := [unit-resolution #332 #626]: #246 +#323 := (or #87 #330) +#334 := [def-axiom]: #323 +#341 := [unit-resolution #334 #631]: #330 +#342 := (not #330) +#343 := (or #342 #627) +#344 := [th-lemma arith triangle-eq]: #343 +#622 := [unit-resolution #344 #341]: #627 +[th-lemma arith farkas -1 1 1 #622 #114 #116]: false +unsat +173bb4f0b36bcf659115903eaed06f43d1cc4af2 149 0 #2 := false decl f6 :: S3 #10 := f6 @@ -23609,385 +21904,284 @@ decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#94 := -1::Int -#95 := (* -1::Int #11) +#58 := -1::Int +#59 := (* -1::Int #11) #9 := (f3 f4 f5) -#96 := (+ #9 #95) -#104 := (>= #96 0::Int) -#106 := (if #104 f5 f6) -#97 := (<= #96 0::Int) -#100 := (if #97 f6 f5) -#109 := (= #100 #106) -#240 := (= f5 #106) -#501 := (iff #240 #109) -#347 := (iff #109 #240) -#551 := (= #100 f5) -#235 := (= f5 #100) -#150 := (not #97) -#149 := (= f6 #100) -#512 := (not #149) -#367 := (iff #149 #109) -#365 := (iff #109 #149) -#517 := (= #100 f6) -#518 := (iff #517 #149) -#524 := [commutativity]: #518 -#522 := (iff #109 #517) -#521 := (= #106 f6) -#241 := (= f6 #106) -#542 := (not #241) -#543 := [hypothesis]: #542 -#556 := (or #104 #241) -#558 := [def-axiom]: #556 -#549 := [unit-resolution #558 #543]: #104 -#238 := (not #104) -#242 := (or #238 #240) -#221 := [def-axiom]: #242 -#189 := [unit-resolution #221 #549]: #240 -#525 := (= f6 f5) +#60 := (+ #9 #59) +#68 := (>= #60 0::Int) +#70 := (if #68 f5 f6) +#61 := (<= #60 0::Int) +#64 := (if #61 f6 f5) +#73 := (= #64 #70) +#296 := (= f5 #70) +#557 := (iff #296 #73) +#403 := (iff #73 #296) +#607 := (= #64 f5) +#291 := (= f5 #64) +#207 := (not #61) +#206 := (= f6 #64) +#568 := (not #206) +#423 := (iff #206 #73) +#421 := (iff #73 #206) +#573 := (= #64 f6) +#574 := (iff #573 #206) +#580 := [commutativity]: #574 +#578 := (iff #73 #573) +#577 := (= #70 f6) +#297 := (= f6 #70) +#598 := (not #297) +#599 := [hypothesis]: #598 +#612 := (or #68 #297) +#614 := [def-axiom]: #612 +#605 := [unit-resolution #614 #599]: #68 +#294 := (not #68) +#298 := (or #294 #296) +#277 := [def-axiom]: #298 +#245 := [unit-resolution #277 #605]: #296 +#581 := (= f6 f5) decl f7 :: (-> S4 Int S3) decl f8 :: S4 #18 := f8 -#215 := (f7 f8 #9) -#345 := (= #215 f5) +#271 := (f7 f8 #9) +#401 := (= #271 f5) #19 := (:var 0 S3) #20 := (f3 f4 #19) -#564 := (pattern #20) +#620 := (pattern #20) #21 := (f7 f8 #20) #22 := (= #21 #19) -#565 := (forall (vars (?v0 S3)) (:pat #564) #22) +#621 := (forall (vars (?v0 S3)) (:pat #620) #22) #23 := (forall (vars (?v0 S3)) #22) -#568 := (iff #23 #565) -#566 := (iff #22 #22) -#567 := [refl]: #566 -#569 := [quant-intro #567]: #568 -#138 := (~ #23 #23) -#140 := (~ #22 #22) -#141 := [refl]: #140 -#139 := [nnf-pos #141]: #138 -#38 := [asserted]: #23 -#136 := [mp~ #38 #139]: #23 -#570 := [mp #136 #569]: #565 -#227 := (not #565) -#559 := (or #227 #345) -#560 := [quant-inst #8]: #559 -#190 := [unit-resolution #560 #570]: #345 -#528 := (= f6 #215) -#552 := (f7 f8 #11) -#249 := (= #552 #215) -#532 := (= #11 #9) -#531 := (= #9 #11) -#156 := (not #235) -#112 := (not #109) -#533 := (iff #112 #156) -#262 := (iff #109 #235) -#260 := (iff #551 #235) -#261 := [commutativity]: #260 -#537 := (iff #109 #551) -#550 := (= #106 f5) -#548 := [symm #189]: #550 -#538 := [monotonicity #548]: #537 -#263 := [trans #538 #261]: #262 -#534 := [monotonicity #263]: #533 +#624 := (iff #23 #621) +#622 := (iff #22 #22) +#623 := [refl]: #622 +#625 := [quant-intro #623]: #624 +#141 := (~ #23 #23) +#139 := (~ #22 #22) +#140 := [refl]: #139 +#142 := [nnf-pos #140]: #141 +#56 := [asserted]: #23 +#131 := [mp~ #56 #142]: #23 +#626 := [mp #131 #625]: #621 +#283 := (not #621) +#615 := (or #283 #401) +#616 := [quant-inst #8]: #615 +#246 := [unit-resolution #616 #626]: #401 +#584 := (= f6 #271) +#608 := (f7 f8 #11) +#305 := (= #608 #271) +#588 := (= #11 #9) +#587 := (= #9 #11) +#213 := (not #291) +#76 := (not #73) +#589 := (iff #76 #213) +#318 := (iff #73 #291) +#316 := (iff #607 #291) +#317 := [commutativity]: #316 +#593 := (iff #73 #607) +#606 := (= #70 f5) +#604 := [symm #245]: #606 +#594 := [monotonicity #604]: #593 +#319 := [trans #594 #317]: #318 +#590 := [monotonicity #319]: #589 #14 := (<= #11 #9) #15 := (if #14 f5 f6) #12 := (<= #9 #11) #13 := (if #12 f6 f5) #16 := (= #13 #15) #17 := (not #16) -#113 := (iff #17 #112) -#110 := (iff #16 #109) -#107 := (= #15 #106) -#103 := (iff #14 #104) -#105 := [rewrite]: #103 -#108 := [monotonicity #105]: #107 -#101 := (= #13 #100) -#98 := (iff #12 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#111 := [monotonicity #102 #108]: #110 -#114 := [monotonicity #111]: #113 -#37 := [asserted]: #17 -#115 := [mp #37 #114]: #112 -#256 := [mp #115 #534]: #156 -#228 := (or #97 #235) -#239 := [def-axiom]: #228 -#257 := [unit-resolution #239 #256]: #97 -#535 := [th-lemma arith eq-propagate 1 1 #549 #257]: #531 -#536 := [symm #535]: #532 -#527 := [monotonicity #536]: #249 -#247 := (= f6 #552) -#226 := (= #552 f6) -#557 := (or #227 #226) -#563 := [quant-inst #10]: #557 -#246 := [unit-resolution #563 #570]: #226 -#248 := [symm #246]: #247 -#243 := [trans #248 #527]: #528 -#529 := [trans #243 #190]: #525 -#526 := [trans #529 #189]: #241 -#530 := [unit-resolution #543 #526]: false -#519 := [lemma #530]: #241 -#516 := [symm #519]: #521 -#523 := [monotonicity #516]: #522 -#366 := [trans #523 #524]: #365 -#509 := [symm #366]: #367 -#520 := [hypothesis]: #149 -#510 := [mp #520 #509]: #109 -#511 := [unit-resolution #115 #510]: false -#506 := [lemma #511]: #512 -#236 := (or #150 #149) -#237 := [def-axiom]: #236 -#507 := [unit-resolution #237 #506]: #150 -#344 := [unit-resolution #239 #507]: #235 -#346 := [symm #344]: #551 -#500 := [monotonicity #346]: #347 -#503 := [symm #500]: #501 -#513 := (or #104 #97) -#514 := [th-lemma arith farkas 1 1]: #513 -#508 := [unit-resolution #514 #507]: #104 -#515 := [unit-resolution #221 #508]: #240 -#504 := [mp #515 #503]: #109 -[unit-resolution #115 #504]: false -e64a5f6562eb36da4004d28b7f33df8ec768098a 238 0 -unsat +#77 := (iff #17 #76) +#74 := (iff #16 #73) +#71 := (= #15 #70) +#67 := (iff #14 #68) +#69 := [rewrite]: #67 +#72 := [monotonicity #69]: #71 +#65 := (= #13 #64) +#62 := (iff #12 #61) +#63 := [rewrite]: #62 +#66 := [monotonicity #63]: #65 +#75 := [monotonicity #66 #72]: #74 +#78 := [monotonicity #75]: #77 +#55 := [asserted]: #17 +#79 := [mp #55 #78]: #76 +#312 := [mp #79 #590]: #213 +#284 := (or #61 #291) +#295 := [def-axiom]: #284 +#313 := [unit-resolution #295 #312]: #61 +#591 := [th-lemma arith eq-propagate 1 1 #605 #313]: #587 +#592 := [symm #591]: #588 +#583 := [monotonicity #592]: #305 +#303 := (= f6 #608) +#282 := (= #608 f6) +#613 := (or #283 #282) +#619 := [quant-inst #10]: #613 +#302 := [unit-resolution #619 #626]: #282 +#304 := [symm #302]: #303 +#299 := [trans #304 #583]: #584 +#585 := [trans #299 #246]: #581 +#582 := [trans #585 #245]: #297 +#586 := [unit-resolution #599 #582]: false +#575 := [lemma #586]: #297 +#572 := [symm #575]: #577 +#579 := [monotonicity #572]: #578 +#422 := [trans #579 #580]: #421 +#565 := [symm #422]: #423 +#576 := [hypothesis]: #206 +#566 := [mp #576 #565]: #73 +#567 := [unit-resolution #79 #566]: false +#562 := [lemma #567]: #568 +#292 := (or #207 #206) +#293 := [def-axiom]: #292 +#563 := [unit-resolution #293 #562]: #207 +#400 := [unit-resolution #295 #563]: #291 +#402 := [symm #400]: #607 +#556 := [monotonicity #402]: #403 +#559 := [symm #556]: #557 +#569 := (or #68 #61) +#570 := [th-lemma arith farkas 1 1]: #569 +#564 := [unit-resolution #570 #563]: #68 +#571 := [unit-resolution #277 #564]: #296 +#560 := [mp #571 #559]: #73 +[unit-resolution #79 #560]: false +unsat +c843701a69b18945f314fe27c203badcfa31d469 137 0 #2 := false decl f5 :: S3 #8 := f5 decl f6 :: (-> S4 Int S3) -#11 := 0::Int +#10 := 0::Int decl f7 :: S4 -#10 := f7 -#12 := (f6 f7 0::Int) +#12 := f7 +#13 := (f6 f7 0::Int) decl f3 :: (-> S2 S3 Int) decl f4 :: S2 #7 := f4 -#13 := (f3 f4 #12) -#92 := -1::Int -#93 := (* -1::Int #13) #9 := (f3 f4 f5) -#94 := (+ #9 #93) -#95 := (<= #94 0::Int) -#98 := (if #95 #12 f5) -#227 := (= f5 #98) -#141 := (= #12 #98) -#519 := (not #227) -#101 := (= #98 f5) -#104 := (not #101) -#520 := (iff #104 #519) -#240 := (iff #101 #227) -#241 := [commutativity]: #240 -#235 := [monotonicity #241]: #520 -#14 := (<= #9 #13) -#15 := (if #14 #12 f5) -#16 := (= #15 f5) -#17 := (not #16) -#105 := (iff #17 #104) -#102 := (iff #16 #101) -#99 := (= #15 #98) -#96 := (iff #14 #95) -#97 := [rewrite]: #96 -#100 := [monotonicity #97]: #99 -#103 := [monotonicity #100]: #102 -#106 := [monotonicity #103]: #105 -#35 := [asserted]: #17 -#107 := [mp #35 #106]: #104 -#517 := [mp #107 #235]: #519 -#220 := (or #95 #227) -#231 := [def-axiom]: #220 -#521 := [unit-resolution #231 #517]: #95 -#142 := (not #95) -#228 := (or #142 #141) -#229 := [def-axiom]: #228 -#503 := [unit-resolution #229 #521]: #141 -#339 := (= f5 #12) -#232 := (f6 f7 #9) -#500 := (= #232 #12) -#542 := (= #9 0::Int) -#255 := (f3 f4 #232) -#148 := (= #255 0::Int) -#248 := (<= #9 0::Int) -#541 := (<= #13 0::Int) -#219 := (= #13 0::Int) -#23 := (:var 0 Int) -#25 := (f6 f7 #23) -#563 := (pattern #25) -#26 := (f3 f4 #25) -#27 := (= #26 #23) -#109 := (>= #23 0::Int) -#111 := (not #109) -#114 := (or #111 #27) -#564 := (forall (vars (?v0 Int)) (:pat #563) #114) -#117 := (forall (vars (?v0 Int)) #114) -#567 := (iff #117 #564) -#565 := (iff #114 #114) -#566 := [refl]: #565 -#568 := [quant-intro #566]: #567 -#135 := (~ #117 #117) -#133 := (~ #114 #114) -#134 := [refl]: #133 -#130 := [nnf-pos #134]: #135 -#24 := (<= 0::Int #23) -#46 := (not #24) -#47 := (or #46 #27) -#51 := (forall (vars (?v0 Int)) #47) -#118 := (iff #51 #117) -#115 := (iff #47 #114) -#112 := (iff #46 #111) -#108 := (iff #24 #109) -#110 := [rewrite]: #108 -#113 := [monotonicity #110]: #112 -#116 := [monotonicity #113]: #115 -#119 := [quant-intro #116]: #118 -#28 := (implies #24 #27) -#29 := (forall (vars (?v0 Int)) #28) -#52 := (iff #29 #51) -#48 := (iff #28 #47) -#49 := [rewrite]: #48 -#44 := (iff #28 #28) -#42 := (iff #24 #24) -#43 := [rewrite]: #42 -#45 := [monotonicity #43]: #44 -#50 := [trans #45 #49]: #48 -#53 := [quant-intro #50]: #52 -#37 := [asserted]: #29 -#54 := [mp #37 #53]: #51 -#120 := [mp #54 #119]: #117 -#131 := [mp~ #120 #130]: #117 -#569 := [mp #131 #568]: #564 -#197 := (not #564) -#533 := (or #197 #219) -#207 := (>= 0::Int 0::Int) -#337 := (not #207) -#551 := (or #337 #219) -#534 := (or #197 #551) -#536 := (iff #534 #533) -#532 := (iff #533 #533) -#538 := [rewrite]: #532 -#195 := (iff #551 #219) -#206 := (or false #219) -#531 := (iff #206 #219) -#194 := [rewrite]: #531 -#547 := (iff #551 #206) -#210 := (iff #337 false) -#1 := true -#554 := (not true) -#545 := (iff #554 false) -#205 := [rewrite]: #545 -#549 := (iff #337 #554) -#552 := (iff #207 true) -#553 := [rewrite]: #552 -#555 := [monotonicity #553]: #549 -#546 := [trans #555 #205]: #210 -#190 := [monotonicity #546]: #547 -#196 := [trans #190 #194]: #195 -#537 := [monotonicity #196]: #536 -#176 := [trans #537 #538]: #536 -#535 := [quant-inst #11]: #534 -#539 := [mp #535 #176]: #533 -#518 := [unit-resolution #539 #569]: #219 -#522 := (not #219) -#511 := (or #522 #541) -#512 := [th-lemma arith triangle-eq]: #511 -#513 := [unit-resolution #512 #518]: #541 -#508 := (not #248) -#509 := [hypothesis]: #508 -#514 := [th-lemma arith farkas -1 1 1 #509 #513 #521]: false -#515 := [lemma #514]: #248 -#254 := (>= #9 0::Int) -#540 := (not #148) -#543 := [hypothesis]: #540 -#525 := (or #254 #148) -#31 := (= #26 0::Int) -#121 := (or #109 #31) -#570 := (forall (vars (?v0 Int)) (:pat #563) #121) -#124 := (forall (vars (?v0 Int)) #121) -#573 := (iff #124 #570) -#571 := (iff #121 #121) -#572 := [refl]: #571 -#574 := [quant-intro #572]: #573 -#138 := (~ #124 #124) -#136 := (~ #121 #121) -#137 := [refl]: #136 -#139 := [nnf-pos #137]: #138 -#63 := (or #24 #31) -#68 := (forall (vars (?v0 Int)) #63) -#125 := (iff #68 #124) -#122 := (iff #63 #121) -#123 := [monotonicity #110]: #122 -#126 := [quant-intro #123]: #125 -#30 := (< #23 0::Int) -#32 := (implies #30 #31) -#33 := (forall (vars (?v0 Int)) #32) -#69 := (iff #33 #68) -#66 := (iff #32 #63) -#60 := (implies #46 #31) -#64 := (iff #60 #63) -#65 := [rewrite]: #64 -#61 := (iff #32 #60) -#55 := (iff #30 #46) -#57 := (iff #46 #46) -#58 := [monotonicity #43]: #57 -#56 := [rewrite]: #55 -#59 := [trans #56 #58]: #55 -#62 := [monotonicity #59]: #61 -#67 := [trans #62 #65]: #66 -#70 := [quant-intro #67]: #69 -#38 := [asserted]: #33 -#71 := [mp #38 #70]: #68 -#127 := [mp #71 #126]: #124 -#140 := [mp~ #127 #139]: #124 -#575 := [mp #140 #574]: #570 -#249 := (not #570) -#523 := (or #249 #254 #148) -#527 := (or #249 #525) -#528 := (iff #527 #523) -#238 := [rewrite]: #528 -#524 := [quant-inst #9]: #527 -#239 := [mp #524 #238]: #523 -#529 := [unit-resolution #239 #575]: #525 -#530 := [unit-resolution #529 #543]: #254 -#252 := (not #254) -#253 := (or #542 #508 #252) -#526 := [th-lemma arith triangle-eq]: #253 -#510 := [unit-resolution #526 #530 #515]: #542 -#357 := (= #255 #9) -#233 := (= #232 f5) -#18 := (:var 0 S3) -#19 := (f3 f4 #18) -#556 := (pattern #19) -#20 := (f6 f7 #19) -#21 := (= #20 #18) -#557 := (forall (vars (?v0 S3)) (:pat #556) #21) -#22 := (forall (vars (?v0 S3)) #21) -#560 := (iff #22 #557) -#558 := (iff #21 #21) -#559 := [refl]: #558 -#561 := [quant-intro #559]: #560 -#128 := (~ #22 #22) -#90 := (~ #21 #21) -#91 := [refl]: #90 -#129 := [nnf-pos #91]: #128 -#36 := [asserted]: #22 -#132 := [mp~ #36 #129]: #22 -#562 := [mp #132 #561]: #557 -#213 := (not #557) -#548 := (or #213 #233) -#550 := [quant-inst #8]: #548 -#516 := [unit-resolution #550 #562]: #233 -#358 := [monotonicity #516]: #357 -#359 := [trans #358 #510]: #148 -#501 := [unit-resolution #543 #359]: false -#502 := [lemma #501]: #148 -#499 := (= #9 #255) -#504 := (= f5 #232) -#498 := [symm #516]: #504 -#505 := [monotonicity #498]: #499 -#506 := [trans #505 #502]: #542 -#507 := [monotonicity #506]: #500 -#492 := [trans #498 #507]: #339 -#493 := [trans #492 #503]: #227 -[unit-resolution #517 #493]: false -296289ecaade249ef4b64fabef5f8f640a51e417 123 0 -unsat +#11 := (<= #9 0::Int) +#14 := (if #11 #13 f5) +#266 := (= f5 #14) +#181 := (= #13 #14) +#568 := (not #266) +#15 := (= #14 f5) +#16 := (not #15) +#278 := (iff #16 #568) +#567 := (iff #15 #266) +#564 := [commutativity]: #567 +#279 := [monotonicity #564]: #278 +#52 := [asserted]: #16 +#280 := [mp #52 #279]: #568 +#259 := (or #11 #266) +#270 := [def-axiom]: #259 +#281 := [unit-resolution #270 #280]: #11 +#182 := (not #11) +#267 := (or #182 #181) +#268 := [def-axiom]: #267 +#548 := [unit-resolution #268 #281]: #181 +#399 := (= f5 #13) +#272 := (f6 f7 #9) +#397 := (= #272 #13) +#274 := (= #9 0::Int) +#252 := (f3 f4 #272) +#377 := (= #252 0::Int) +#273 := (>= #9 0::Int) +#289 := (not #377) +#563 := [hypothesis]: #289 +#584 := (or #273 #377) +#22 := (:var 0 Int) +#24 := (f6 f7 #22) +#603 := (pattern #24) +#25 := (f3 f4 #24) +#30 := (= #25 0::Int) +#64 := (>= #22 0::Int) +#94 := (or #64 #30) +#610 := (forall (vars (?v0 Int)) (:pat #603) #94) +#97 := (forall (vars (?v0 Int)) #94) +#613 := (iff #97 #610) +#611 := (iff #94 #94) +#612 := [refl]: #611 +#614 := [quant-intro #612]: #613 +#110 := (~ #97 #97) +#118 := (~ #94 #94) +#119 := [refl]: #118 +#111 := [nnf-pos #119]: #110 +#29 := (< #22 0::Int) +#31 := (implies #29 #30) +#32 := (forall (vars (?v0 Int)) #31) +#100 := (iff #32 #97) +#78 := (not #29) +#79 := (or #78 #30) +#82 := (forall (vars (?v0 Int)) #79) +#98 := (iff #82 #97) +#95 := (iff #79 #94) +#92 := (iff #78 #64) +#65 := (not #64) +#87 := (not #65) +#90 := (iff #87 #64) +#91 := [rewrite]: #90 +#88 := (iff #78 #87) +#85 := (iff #29 #65) +#86 := [rewrite]: #85 +#89 := [monotonicity #86]: #88 +#93 := [trans #89 #91]: #92 +#96 := [monotonicity #93]: #95 +#99 := [quant-intro #96]: #98 +#83 := (iff #32 #82) +#80 := (iff #31 #79) +#81 := [rewrite]: #80 +#84 := [quant-intro #81]: #83 +#101 := [trans #84 #99]: #100 +#77 := [asserted]: #32 +#102 := [mp #77 #101]: #97 +#120 := [mp~ #102 #111]: #97 +#615 := [mp #120 #614]: #610 +#591 := (not #610) +#592 := (or #591 #273 #377) +#593 := (or #591 #584) +#589 := (iff #593 #592) +#595 := [rewrite]: #589 +#594 := [quant-inst #9]: #593 +#585 := [mp #594 #595]: #592 +#559 := [unit-resolution #585 #615]: #584 +#560 := [unit-resolution #559 #563]: #273 +#557 := [th-lemma arith eq-propagate 0 0 #560 #281]: #274 +#558 := (= #252 #9) +#269 := (= #272 f5) +#17 := (:var 0 S3) +#18 := (f3 f4 #17) +#596 := (pattern #18) +#19 := (f6 f7 #18) +#20 := (= #19 #17) +#597 := (forall (vars (?v0 S3)) (:pat #596) #20) +#21 := (forall (vars (?v0 S3)) #20) +#600 := (iff #21 #597) +#598 := (iff #20 #20) +#599 := [refl]: #598 +#601 := [quant-intro #599]: #600 +#116 := (~ #21 #21) +#114 := (~ #20 #20) +#115 := [refl]: #114 +#117 := [nnf-pos #115]: #116 +#53 := [asserted]: #21 +#106 := [mp~ #53 #117]: #21 +#602 := [mp #106 #601]: #597 +#588 := (not #597) +#590 := (or #588 #269) +#246 := [quant-inst #8]: #590 +#561 := [unit-resolution #246 #602]: #269 +#562 := [monotonicity #561]: #558 +#551 := [trans #562 #557]: #377 +#552 := [unit-resolution #563 #551]: false +#553 := [lemma #552]: #377 +#555 := (= #9 #252) +#549 := (= f5 #272) +#554 := [symm #561]: #549 +#550 := [monotonicity #554]: #555 +#556 := [trans #550 #553]: #274 +#398 := [monotonicity #556]: #397 +#541 := [trans #554 #398]: #399 +#542 := [trans #541 #548]: #266 +[unit-resolution #280 #542]: false +unsat +39efecfe038f83ab2d1aa99967fadc5bc10be8c6 114 0 #2 := false #7 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -23996,122 +22190,113 @@ decl f4 :: S2 #8 := f4 #10 := (f3 f4 f5) -#222 := (= #10 0::Int) +#273 := (= #10 0::Int) decl f6 :: (-> S4 Int S3) decl f7 :: S4 #13 := f7 -#219 := (f6 f7 #10) -#220 := (f3 f4 #219) -#221 := (= #220 0::Int) +#270 := (f6 f7 #10) +#271 := (f3 f4 #270) +#272 := (= #271 0::Int) #19 := (:var 0 Int) #21 := (f6 f7 #19) -#556 := (pattern #21) +#607 := (pattern #21) #22 := (f3 f4 #21) #27 := (= #22 0::Int) -#102 := (>= #19 0::Int) -#113 := (or #102 #27) -#563 := (forall (vars (?v0 Int)) (:pat #556) #113) -#116 := (forall (vars (?v0 Int)) #113) -#566 := (iff #116 #563) -#564 := (iff #113 #113) -#565 := [refl]: #564 -#567 := [quant-intro #565]: #566 -#130 := (~ #116 #116) -#128 := (~ #113 #113) -#129 := [refl]: #128 -#131 := [nnf-pos #129]: #130 -#20 := (<= 0::Int #19) -#64 := (or #20 #27) -#69 := (forall (vars (?v0 Int)) #64) -#117 := (iff #69 #116) -#114 := (iff #64 #113) -#100 := (iff #20 #102) -#101 := [rewrite]: #100 -#115 := [monotonicity #101]: #114 -#118 := [quant-intro #115]: #117 +#68 := (>= #19 0::Int) +#98 := (or #68 #27) +#614 := (forall (vars (?v0 Int)) (:pat #607) #98) +#101 := (forall (vars (?v0 Int)) #98) +#617 := (iff #101 #614) +#615 := (iff #98 #98) +#616 := [refl]: #615 +#618 := [quant-intro #616]: #617 +#114 := (~ #101 #101) +#122 := (~ #98 #98) +#123 := [refl]: #122 +#115 := [nnf-pos #123]: #114 #26 := (< #19 0::Int) #28 := (implies #26 #27) #29 := (forall (vars (?v0 Int)) #28) -#70 := (iff #29 #69) -#67 := (iff #28 #64) -#47 := (not #20) -#61 := (implies #47 #27) -#65 := (iff #61 #64) -#66 := [rewrite]: #65 -#62 := (iff #28 #61) -#56 := (iff #26 #47) -#58 := (iff #47 #47) -#43 := (iff #20 #20) -#44 := [rewrite]: #43 -#59 := [monotonicity #44]: #58 -#57 := [rewrite]: #56 -#60 := [trans #57 #59]: #56 -#63 := [monotonicity #60]: #62 -#68 := [trans #63 #66]: #67 -#71 := [quant-intro #68]: #70 -#34 := [asserted]: #29 -#72 := [mp #34 #71]: #69 -#119 := [mp #72 #118]: #116 -#132 := [mp~ #119 #131]: #116 -#568 := [mp #132 #567]: #563 -#94 := (>= #10 0::Int) -#95 := (not #94) +#104 := (iff #29 #101) +#82 := (not #26) +#83 := (or #82 #27) +#86 := (forall (vars (?v0 Int)) #83) +#102 := (iff #86 #101) +#99 := (iff #83 #98) +#96 := (iff #82 #68) +#69 := (not #68) +#91 := (not #69) +#94 := (iff #91 #68) +#95 := [rewrite]: #94 +#92 := (iff #82 #91) +#89 := (iff #26 #69) +#90 := [rewrite]: #89 +#93 := [monotonicity #90]: #92 +#97 := [trans #93 #95]: #96 +#100 := [monotonicity #97]: #99 +#103 := [quant-intro #100]: #102 +#87 := (iff #29 #86) +#84 := (iff #28 #83) +#85 := [rewrite]: #84 +#88 := [quant-intro #85]: #87 +#105 := [trans #88 #103]: #104 +#81 := [asserted]: #29 +#106 := [mp #81 #105]: #101 +#124 := [mp~ #106 #115]: #101 +#619 := [mp #124 #618]: #614 +#54 := (>= #10 0::Int) +#55 := (not #54) #11 := (<= 0::Int #10) #12 := (not #11) -#96 := (iff #12 #95) -#92 := (iff #11 #94) -#93 := [rewrite]: #92 -#97 := [monotonicity #93]: #96 -#40 := (iff #12 #12) -#38 := (iff #11 #11) -#39 := [rewrite]: #38 -#41 := [monotonicity #39]: #40 -#31 := [asserted]: #12 -#42 := [mp #31 #41]: #12 -#98 := [mp #42 #97]: #95 -#205 := (not #563) -#541 := (or #205 #94 #221) -#225 := (or #94 #221) -#543 := (or #205 #225) -#330 := (iff #543 #541) -#537 := [rewrite]: #330 -#199 := [quant-inst #10]: #543 -#210 := [mp #199 #537]: #541 -#211 := [unit-resolution #210 #98 #568]: #221 -#547 := (= #10 #220) -#545 := (= f5 #219) -#134 := (= #219 f5) +#56 := (iff #12 #55) +#52 := (iff #11 #54) +#53 := [rewrite]: #52 +#57 := [monotonicity #53]: #56 +#49 := [asserted]: #12 +#58 := [mp #49 #57]: #55 +#256 := (not #614) +#592 := (or #256 #54 #272) +#276 := (or #54 #272) +#594 := (or #256 #276) +#381 := (iff #594 #592) +#588 := [rewrite]: #381 +#250 := [quant-inst #10]: #594 +#261 := [mp #250 #588]: #592 +#262 := [unit-resolution #261 #58 #619]: #272 +#598 := (= #10 #271) +#596 := (= f5 #270) +#186 := (= #270 f5) #14 := (:var 0 S3) #15 := (f3 f4 #14) -#549 := (pattern #15) +#600 := (pattern #15) #16 := (f6 f7 #15) #17 := (= #16 #14) -#550 := (forall (vars (?v0 S3)) (:pat #549) #17) +#601 := (forall (vars (?v0 S3)) (:pat #600) #17) #18 := (forall (vars (?v0 S3)) #17) -#553 := (iff #18 #550) -#551 := (iff #17 #17) -#552 := [refl]: #551 -#554 := [quant-intro #552]: #553 -#122 := (~ #18 #18) -#91 := (~ #17 #17) -#99 := [refl]: #91 -#123 := [nnf-pos #99]: #122 -#32 := [asserted]: #18 -#126 := [mp~ #32 #123]: #18 -#555 := [mp #126 #554]: #550 -#212 := (not #550) -#223 := (or #212 #134) -#224 := [quant-inst #9]: #223 -#544 := [unit-resolution #224 #555]: #134 -#546 := [symm #544]: #545 -#542 := [monotonicity #546]: #547 -#548 := [trans #542 #211]: #222 -#538 := (not #222) -#197 := (or #538 #94) -#202 := [th-lemma arith triangle-eq]: #197 -[unit-resolution #202 #98 #548]: false -5c14f8fdcb62dad5c500fbe42194f9994e95aaad 82 0 -unsat +#604 := (iff #18 #601) +#602 := (iff #17 #17) +#603 := [refl]: #602 +#605 := [quant-intro #603]: #604 +#120 := (~ #18 #18) +#118 := (~ #17 #17) +#119 := [refl]: #118 +#121 := [nnf-pos #119]: #120 +#50 := [asserted]: #18 +#110 := [mp~ #50 #121]: #18 +#606 := [mp #110 #605]: #601 +#263 := (not #601) +#274 := (or #263 #186) +#275 := [quant-inst #9]: #274 +#595 := [unit-resolution #275 #606]: #186 +#597 := [symm #595]: #596 +#593 := [monotonicity #597]: #598 +#599 := [trans #593 #262]: #273 +#589 := (not #273) +#248 := (or #589 #54) +#253 := [th-lemma arith triangle-eq]: #248 +[unit-resolution #253 #58 #599]: false +unsat +f7e768909a7c1b933ad0d893349ffd5af448126c 88 0 #2 := false decl f6 :: (-> S4 Int S3) #12 := 1::Int @@ -24125,76 +22310,82 @@ decl f4 :: S2 #8 := f4 #10 := (f3 f4 f5) -#237 := (f6 f7 #10) -#263 := (= #237 #16) -#554 := (= #16 #237) -#553 := (= 1::Int #10) -#191 := (= #10 1::Int) +#299 := (f6 f7 #10) +#325 := (= #299 #16) +#616 := (= #16 #299) +#615 := (= 1::Int #10) +#253 := (= #10 1::Int) #13 := (<= #10 1::Int) #7 := 0::Int -#44 := (<= #10 0::Int) -#45 := (not #44) -#48 := (and #45 #13) -#54 := (not #48) -#55 := (or #54 #17) -#60 := (not #55) +#63 := (<= #10 0::Int) +#64 := (not #63) +#67 := (and #64 #13) +#70 := (not #67) +#73 := (or #70 #17) +#76 := (not #73) #11 := (< 0::Int #10) #14 := (and #11 #13) #18 := (implies #14 #17) #19 := (not #18) +#79 := (iff #19 #76) +#56 := (not #14) +#57 := (or #56 #17) +#60 := (not #57) +#77 := (iff #60 #76) +#74 := (iff #57 #73) +#71 := (iff #56 #70) +#68 := (iff #14 #67) +#65 := (iff #11 #64) +#66 := [rewrite]: #65 +#69 := [monotonicity #66]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 #61 := (iff #19 #60) -#58 := (iff #18 #55) -#51 := (implies #48 #17) -#56 := (iff #51 #55) -#57 := [rewrite]: #56 -#52 := (iff #18 #51) -#49 := (iff #14 #48) -#46 := (iff #11 #45) -#47 := [rewrite]: #46 -#50 := [monotonicity #47]: #49 -#53 := [monotonicity #50]: #52 -#59 := [trans #53 #57]: #58 +#58 := (iff #18 #57) +#59 := [rewrite]: #58 #62 := [monotonicity #59]: #61 -#37 := [asserted]: #19 -#63 := [mp #37 #62]: #60 -#64 := [not-or-elim #63]: #48 -#66 := [and-elim #64]: #13 -#65 := [and-elim #64]: #45 -#192 := [th-lemma arith eq-propagate 0 0 #65 #66]: #191 -#551 := [symm #192]: #553 -#540 := [monotonicity #551]: #554 -#264 := [symm #540]: #263 -#541 := (= f5 #237) -#153 := (= #237 f5) +#80 := [trans #62 #78]: #79 +#55 := [asserted]: #19 +#81 := [mp #55 #80]: #76 +#82 := [not-or-elim #81]: #67 +#84 := [and-elim #82]: #13 +#83 := [and-elim #82]: #64 +#254 := [th-lemma arith eq-propagate 0 0 #83 #84]: #253 +#613 := [symm #254]: #615 +#602 := [monotonicity #613]: #616 +#326 := [symm #602]: #325 +#603 := (= f5 #299) +#215 := (= #299 f5) #20 := (:var 0 S3) #21 := (f3 f4 #20) -#567 := (pattern #21) +#629 := (pattern #21) #22 := (f6 f7 #21) #23 := (= #22 #20) -#568 := (forall (vars (?v0 S3)) (:pat #567) #23) +#630 := (forall (vars (?v0 S3)) (:pat #629) #23) #24 := (forall (vars (?v0 S3)) #23) -#571 := (iff #24 #568) -#569 := (iff #23 #23) -#570 := [refl]: #569 -#572 := [quant-intro #570]: #571 -#141 := (~ #24 #24) -#139 := (~ #23 #23) -#140 := [refl]: #139 -#142 := [nnf-pos #140]: #141 -#38 := [asserted]: #24 -#149 := [mp~ #38 #142]: #24 -#573 := [mp #149 #572]: #568 -#230 := (not #568) -#241 := (or #230 #153) -#242 := [quant-inst #9]: #241 -#552 := [unit-resolution #242 #573]: #153 -#248 := [symm #552]: #541 -#265 := [trans #248 #264]: #17 -#67 := (not #17) -#68 := [not-or-elim #63]: #67 -[unit-resolution #68 #265]: false -ca3f6f470a64812f20f034a206f85f1299e90bba 22 0 -unsat +#633 := (iff #24 #630) +#631 := (iff #23 #23) +#632 := [refl]: #631 +#634 := [quant-intro #632]: #633 +#154 := (~ #24 #24) +#152 := (~ #23 #23) +#153 := [refl]: #152 +#155 := [nnf-pos #153]: #154 +#87 := [asserted]: #24 +#144 := [mp~ #87 #155]: #24 +#635 := [mp #144 #634]: #630 +#292 := (not #630) +#303 := (or #292 #215) +#304 := [quant-inst #9]: #303 +#614 := [unit-resolution #304 #635]: #215 +#310 := [symm #614]: #603 +#327 := [trans #310 #326]: #17 +#85 := (not #17) +#86 := [not-or-elim #81]: #85 +[unit-resolution #86 #327]: false +unsat +e9599784ae48c0a76ee6ce769530275315a7c306 22 0 #2 := false decl f3 :: (-> S2 S3 Int) decl f5 :: S3 @@ -24204,135 +22395,139 @@ #9 := (f3 f4 f5) #10 := (<= #9 #9) #11 := (not #10) -#45 := (iff #11 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #11 #40) -#38 := (iff #10 true) -#39 := [rewrite]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#31 := [asserted]: #11 -[mp #31 #46]: false -bb3772327fe7ed3d47e357b17ea25e71f87441c8 55 0 -unsat -#2 := false -#25 := 0::Int +#59 := (iff #11 false) +#1 := true +#54 := (not true) +#57 := (iff #54 false) +#58 := [rewrite]: #57 +#55 := (iff #11 #54) +#52 := (iff #10 true) +#53 := [rewrite]: #52 +#56 := [monotonicity #53]: #55 +#60 := [trans #56 #58]: #59 +#49 := [asserted]: #11 +[mp #49 #60]: false +unsat +bc3dab857c3b884433a23e55254b9c450e3d29a1 56 0 +#2 := false decl f3 :: (-> S2 S3 Int) decl f6 :: S3 #10 := f6 decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#106 := -1::Int -#107 := (* -1::Int #11) +#13 := 3::Int +#15 := (* 3::Int #11) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#108 := (+ #9 #107) -#109 := (<= #108 0::Int) -#135 := (not #109) -#152 := (iff #135 false) -#1 := true -#147 := (not true) -#150 := (iff #147 false) -#151 := [rewrite]: #150 -#148 := (iff #135 #147) -#139 := (iff #109 true) -#12 := (<= #9 #11) -#110 := (iff #12 #109) -#111 := [rewrite]: #110 -#13 := 3::Int -#15 := (* 3::Int #11) #14 := (* 3::Int #9) #16 := (<= #14 #15) -#45 := (not #12) -#46 := (or #45 #16) -#49 := (not #46) +#12 := (<= #9 #11) #17 := (implies #12 #16) #18 := (not #17) -#50 := (iff #18 #49) -#47 := (iff #17 #46) -#48 := [rewrite]: #47 -#51 := [monotonicity #48]: #50 -#38 := [asserted]: #18 -#52 := [mp #38 #51]: #49 -#53 := [not-or-elim #52]: #12 -#112 := [mp #53 #111]: #109 -#140 := [iff-true #112]: #139 -#149 := [monotonicity #140]: #148 -#153 := [trans #149 #151]: #152 -#54 := (not #16) -#136 := (iff #54 #135) -#133 := (iff #16 #109) -#134 := [rewrite]: #133 -#137 := [monotonicity #134]: #136 -#55 := [not-or-elim #52]: #54 -#138 := [mp #55 #137]: #135 -[mp #138 #153]: false -a8aaa55cc1afac102005fa52e6f6290192b8b656 58 0 -unsat -#2 := false +#89 := (iff #18 false) +#57 := (not #12) +#58 := (or #57 #16) +#61 := (not #58) +#87 := (iff #61 false) +#1 := true +#82 := (not true) +#85 := (iff #82 false) +#86 := [rewrite]: #85 +#83 := (iff #61 #82) +#80 := (iff #58 true) #25 := 0::Int +#64 := -1::Int +#65 := (* -1::Int #11) +#66 := (+ #9 #65) +#67 := (<= #66 0::Int) +#70 := (not #67) +#75 := (or #70 #67) +#78 := (iff #75 true) +#79 := [rewrite]: #78 +#76 := (iff #58 #75) +#73 := (iff #16 #67) +#74 := [rewrite]: #73 +#71 := (iff #57 #70) +#68 := (iff #12 #67) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#77 := [monotonicity #72 #74]: #76 +#81 := [trans #77 #79]: #80 +#84 := [monotonicity #81]: #83 +#88 := [trans #84 #86]: #87 +#62 := (iff #18 #61) +#59 := (iff #17 #58) +#60 := [rewrite]: #59 +#63 := [monotonicity #60]: #62 +#90 := [trans #63 #88]: #89 +#56 := [asserted]: #18 +[mp #56 #90]: false +unsat +782e867b2e6b539b485b3c801c1684af80e8e4eb 61 0 +#2 := false decl f3 :: (-> S2 S3 Int) decl f6 :: S3 #10 := f6 decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#117 := -1::Int -#120 := (* -1::Int #11) +#13 := 3::Int +#15 := (* 3::Int #11) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#121 := (+ #9 #120) -#119 := (>= #121 0::Int) -#150 := (iff #119 false) -#123 := (not #119) -#45 := (<= #11 #9) -#46 := (not #45) -#124 := (iff #46 #123) -#118 := (iff #45 #119) -#122 := [rewrite]: #118 -#125 := [monotonicity #122]: #124 -#13 := 3::Int #14 := (* 3::Int #9) -#15 := (* 3::Int #11) -#49 := (<= #15 #14) -#50 := (not #49) -#56 := (or #45 #50) -#61 := (not #56) #16 := (< #14 #15) #12 := (< #9 #11) #17 := (implies #12 #16) #18 := (not #17) +#94 := (iff #18 false) +#57 := (not #12) +#58 := (or #57 #16) +#61 := (not #58) +#92 := (iff #61 false) +#1 := true +#87 := (not true) +#90 := (iff #87 false) +#91 := [rewrite]: #90 +#88 := (iff #61 #87) +#85 := (iff #58 true) +#25 := 0::Int +#64 := -1::Int +#67 := (* -1::Int #11) +#68 := (+ #9 #67) +#66 := (>= #68 0::Int) +#65 := (not #66) +#79 := (or #66 #65) +#83 := (iff #79 true) +#84 := [rewrite]: #83 +#81 := (iff #58 #79) +#80 := (iff #16 #65) +#78 := [rewrite]: #80 +#76 := (iff #57 #66) +#71 := (not #65) +#74 := (iff #71 #66) +#75 := [rewrite]: #74 +#72 := (iff #57 #71) +#69 := (iff #12 #65) +#70 := [rewrite]: #69 +#73 := [monotonicity #70]: #72 +#77 := [trans #73 #75]: #76 +#82 := [monotonicity #77 #78]: #81 +#86 := [trans #82 #84]: #85 +#89 := [monotonicity #86]: #88 +#93 := [trans #89 #91]: #92 #62 := (iff #18 #61) -#59 := (iff #17 #56) -#53 := (implies #46 #50) -#57 := (iff #53 #56) -#58 := [rewrite]: #57 -#54 := (iff #17 #53) -#51 := (iff #16 #50) -#52 := [rewrite]: #51 -#47 := (iff #12 #46) -#48 := [rewrite]: #47 -#55 := [monotonicity #48 #52]: #54 -#60 := [trans #55 #58]: #59 +#59 := (iff #17 #58) +#60 := [rewrite]: #59 #63 := [monotonicity #60]: #62 -#38 := [asserted]: #18 -#64 := [mp #38 #63]: #61 -#65 := [not-or-elim #64]: #46 -#126 := [mp #65 #125]: #123 -#151 := [iff-false #126]: #150 -#149 := (iff #49 #119) -#147 := [rewrite]: #149 -#66 := [not-or-elim #64]: #49 -#148 := [mp #66 #147]: #119 -[mp #148 #151]: false -bc68f2688dca4da409b0f564f117c7120d85d804 57 0 -unsat +#95 := [trans #63 #93]: #94 +#56 := [asserted]: #18 +[mp #56 #95]: false +unsat +94669687013e4a07eb52cc8d3181b4486a98fb64 57 0 #2 := false #22 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24341,136 +22536,135 @@ decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#111 := -1::Int -#114 := (* -1::Int #11) +#61 := -1::Int +#64 := (* -1::Int #11) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#115 := (+ #9 #114) -#141 := (<= #115 0::Int) -#144 := (not #141) +#65 := (+ #9 #64) +#75 := (<= #65 0::Int) +#88 := (not #75) +#63 := (>= #65 0::Int) +#78 := (or #63 #75) +#81 := (not #78) #13 := (<= #9 #11) -#59 := (not #13) -#145 := (iff #59 #144) -#142 := (iff #13 #141) -#143 := [rewrite]: #142 -#146 := [monotonicity #143]: #145 -#42 := (<= #11 #9) -#49 := (or #42 #13) -#54 := (not #49) #12 := (< #9 #11) #14 := (implies #12 #13) #15 := (not #14) -#55 := (iff #15 #54) -#52 := (iff #14 #49) -#43 := (not #42) -#46 := (implies #43 #13) -#50 := (iff #46 #49) -#51 := [rewrite]: #50 -#47 := (iff #14 #46) -#44 := (iff #12 #43) -#45 := [rewrite]: #44 -#48 := [monotonicity #45]: #47 -#53 := [trans #48 #51]: #52 -#56 := [monotonicity #53]: #55 -#35 := [asserted]: #15 -#57 := [mp #35 #56]: #54 -#60 := [not-or-elim #57]: #59 -#147 := [mp #60 #146]: #144 -#113 := (>= #115 0::Int) -#117 := (not #113) -#118 := (iff #43 #117) -#112 := (iff #42 #113) -#116 := [rewrite]: #112 -#119 := [monotonicity #116]: #118 -#58 := [not-or-elim #57]: #43 -#120 := [mp #58 #119]: #117 -#163 := (or #141 #113) -#247 := [th-lemma arith farkas 1 1]: #163 -#164 := [unit-resolution #247 #120]: #141 -[unit-resolution #164 #147]: false -2313b6a33df28a371c3d91af7ee3267d8ec1adcb 79 0 -unsat -#2 := false -#54 := -1::Int +#84 := (iff #15 #81) +#54 := (not #12) +#55 := (or #54 #13) +#58 := (not #55) +#82 := (iff #58 #81) +#79 := (iff #55 #78) +#76 := (iff #13 #75) +#77 := [rewrite]: #76 +#73 := (iff #54 #63) +#62 := (not #63) +#68 := (not #62) +#71 := (iff #68 #63) +#72 := [rewrite]: #71 +#69 := (iff #54 #68) +#66 := (iff #12 #62) +#67 := [rewrite]: #66 +#70 := [monotonicity #67]: #69 +#74 := [trans #70 #72]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#59 := (iff #15 #58) +#56 := (iff #14 #55) +#57 := [rewrite]: #56 +#60 := [monotonicity #57]: #59 +#85 := [trans #60 #83]: #84 +#53 := [asserted]: #15 +#86 := [mp #53 #85]: #81 +#89 := [not-or-elim #86]: #88 +#87 := [not-or-elim #86]: #62 +#218 := (or #75 #63) +#303 := [th-lemma arith farkas 1 1]: #218 +#219 := [unit-resolution #303 #87]: #75 +[unit-resolution #219 #89]: false +unsat +7c33b6e5c3b47260d57df088f1707958b9c6cfb4 78 0 +#2 := false +#74 := -1::Int decl f3 :: (-> S2 S3 Int) decl f6 :: S3 #10 := f6 decl f4 :: S2 #7 := f4 #11 := (f3 f4 f6) -#125 := (* -1::Int #11) +#77 := (* -1::Int #11) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#126 := (+ #9 #125) -#128 := (<= #126 -1::Int) +#78 := (+ #9 #77) +#88 := (<= #78 -1::Int) #24 := 0::Int -#124 := (>= #126 0::Int) -#257 := (not #124) -#168 := (not #128) -#222 := [hypothesis]: #168 -#256 := (or #257 #128) -#131 := (iff #124 #128) -#55 := (+ -1::Int #11) -#56 := (<= #9 #55) -#44 := (<= #11 #9) -#67 := (iff #44 #56) -#132 := (iff #67 #131) -#129 := (iff #56 #128) -#130 := [rewrite]: #129 -#123 := (iff #44 #124) -#127 := [rewrite]: #123 -#133 := [monotonicity #127 #130]: #132 +#76 := (>= #78 0::Int) +#75 := (not #76) +#224 := (not #88) +#277 := [hypothesis]: #224 +#315 := (or #75 #88) +#91 := (iff #76 #88) #13 := 1::Int #14 := (+ #9 1::Int) #15 := (<= #14 #11) #12 := (< #9 #11) #16 := (iff #12 #15) #17 := (not #16) -#70 := (iff #17 #67) -#45 := (not #44) -#61 := (iff #45 #56) -#64 := (not #61) -#68 := (iff #64 #67) -#69 := [rewrite]: #68 -#65 := (iff #17 #64) -#62 := (iff #16 #61) -#59 := (iff #15 #56) -#48 := (+ 1::Int #9) -#51 := (<= #48 #11) -#57 := (iff #51 #56) +#94 := (iff #17 #91) +#56 := (+ 1::Int #9) +#59 := (<= #56 #11) +#68 := (not #12) +#69 := (iff #68 #59) +#92 := (iff #69 #91) +#89 := (iff #59 #88) +#90 := [rewrite]: #89 +#86 := (iff #68 #76) +#81 := (not #75) +#84 := (iff #81 #76) +#85 := [rewrite]: #84 +#82 := (iff #68 #81) +#79 := (iff #12 #75) +#80 := [rewrite]: #79 +#83 := [monotonicity #80]: #82 +#87 := [trans #83 #85]: #86 +#93 := [monotonicity #87 #90]: #92 +#72 := (iff #17 #69) +#62 := (iff #12 #59) +#65 := (not #62) +#70 := (iff #65 #69) +#71 := [rewrite]: #70 +#66 := (iff #17 #65) +#63 := (iff #16 #62) +#60 := (iff #15 #59) +#57 := (= #14 #56) #58 := [rewrite]: #57 -#52 := (iff #15 #51) -#49 := (= #14 #48) -#50 := [rewrite]: #49 -#53 := [monotonicity #50]: #52 -#60 := [trans #53 #58]: #59 -#46 := (iff #12 #45) -#47 := [rewrite]: #46 -#63 := [monotonicity #47 #60]: #62 -#66 := [monotonicity #63]: #65 -#71 := [trans #66 #69]: #70 -#37 := [asserted]: #17 -#72 := [mp #37 #71]: #67 -#134 := [mp #72 #133]: #131 -#253 := (not #131) -#258 := (or #257 #128 #253) -#259 := [def-axiom]: #258 -#260 := [unit-resolution #259 #134]: #256 -#223 := [unit-resolution #260 #222]: #257 -#564 := [th-lemma arith farkas 1 1 #222 #223]: false -#202 := [lemma #564]: #128 -#565 := (or #168 #257) -#567 := [th-lemma arith farkas 1 1]: #565 -#207 := [unit-resolution #567 #202]: #257 -#255 := (or #124 #168) -#169 := (or #124 #168 #253) -#254 := [def-axiom]: #169 -#246 := [unit-resolution #254 #134]: #255 -[unit-resolution #246 #207 #202]: false -6fee3152946968f658ff9cf86ca496852eca7ae9 40 0 -unsat +#61 := [monotonicity #58]: #60 +#64 := [monotonicity #61]: #63 +#67 := [monotonicity #64]: #66 +#73 := [trans #67 #71]: #72 +#95 := [trans #73 #93]: #94 +#55 := [asserted]: #17 +#96 := [mp #55 #95]: #91 +#309 := (not #91) +#313 := (or #75 #88 #309) +#314 := [def-axiom]: #313 +#312 := [unit-resolution #314 #96]: #315 +#278 := [unit-resolution #312 #277]: #75 +#614 := [th-lemma arith farkas 1 1 #277 #278]: false +#620 := [lemma #614]: #88 +#258 := (or #224 #75) +#621 := [th-lemma arith farkas 1 1]: #258 +#623 := [unit-resolution #621 #620]: #75 +#311 := (or #76 #224) +#225 := (or #76 #224 #309) +#310 := [def-axiom]: #225 +#302 := [unit-resolution #310 #96]: #311 +[unit-resolution #302 #623 #620]: false +unsat +1ddff06a9124711b00597d9f7f79edb1f5ac02da 19 0 #2 := false decl f3 :: (-> S2 S3 Int) decl f5 :: S3 @@ -24481,37 +22675,16 @@ #10 := (< #9 #9) #11 := (not #10) #12 := (not #11) -#63 := (iff #12 false) -#1 := true -#45 := (not true) -#48 := (iff #45 false) -#49 := [rewrite]: #48 -#61 := (iff #12 #45) -#59 := (iff #11 true) -#54 := (not false) -#57 := (iff #54 true) -#58 := [rewrite]: #57 -#55 := (iff #11 #54) -#52 := (iff #10 false) -#39 := (<= #9 #9) -#40 := (not #39) -#50 := (iff #40 false) -#46 := (iff #40 #45) -#43 := (iff #39 true) -#44 := [rewrite]: #43 -#47 := [monotonicity #44]: #46 -#51 := [trans #47 #49]: #50 -#41 := (iff #10 #40) -#42 := [rewrite]: #41 -#53 := [trans #42 #51]: #52 -#56 := [monotonicity #53]: #55 -#60 := [trans #56 #58]: #59 -#62 := [monotonicity #60]: #61 -#64 := [trans #62 #49]: #63 -#32 := [asserted]: #12 -[mp #32 #64]: false -fcb70069c91934ffce190a7f4790ad5fefc7b891 65 0 -unsat +#55 := (iff #12 false) +#53 := (iff #10 false) +#54 := [rewrite]: #53 +#51 := (iff #12 #10) +#52 := [rewrite]: #51 +#56 := [trans #52 #54]: #55 +#50 := [asserted]: #12 +[mp #50 #56]: false +unsat +34a197030d596a851cfea7401235747df59a05b3 81 0 #2 := false #26 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24520,64 +22693,80 @@ decl f4 :: S2 #7 := f4 #14 := (f3 f4 f7) -#117 := -1::Int -#144 := (* -1::Int #14) +#74 := -1::Int +#75 := (* -1::Int #14) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#145 := (+ #11 #144) -#146 := (<= #145 0::Int) -#15 := (<= #11 #14) -#147 := (iff #15 #146) -#148 := [rewrite]: #147 +#76 := (+ #11 #75) +#77 := (<= #76 0::Int) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) +#83 := (+ #9 #75) +#84 := (<= #83 0::Int) +#80 := (not #77) +#87 := (* -1::Int #11) +#88 := (+ #9 #87) +#89 := (<= #88 0::Int) +#92 := (not #89) +#101 := (or #92 #80 #84) +#106 := (not #101) #16 := (<= #9 #14) -#46 := (not #15) +#15 := (<= #11 #14) +#17 := (implies #15 #16) #12 := (<= #9 #11) -#53 := (not #12) -#54 := (or #53 #46 #16) -#59 := (not #54) -#17 := (implies #15 #16) #18 := (implies #12 #17) #19 := (not #18) -#60 := (iff #19 #59) -#57 := (iff #18 #54) -#47 := (or #46 #16) -#50 := (implies #12 #47) -#55 := (iff #50 #54) -#56 := [rewrite]: #55 -#51 := (iff #18 #50) -#48 := (iff #17 #47) -#49 := [rewrite]: #48 -#52 := [monotonicity #49]: #51 -#58 := [trans #52 #56]: #57 -#61 := [monotonicity #58]: #60 -#39 := [asserted]: #19 -#62 := [mp #39 #61]: #59 -#64 := [not-or-elim #62]: #15 -#149 := [mp #64 #148]: #146 -#150 := (+ #9 #144) -#151 := (<= #150 0::Int) -#154 := (not #151) -#65 := (not #16) -#155 := (iff #65 #154) -#152 := (iff #16 #151) -#153 := [rewrite]: #152 -#156 := [monotonicity #153]: #155 -#66 := [not-or-elim #62]: #65 -#157 := [mp #66 #156]: #154 -#118 := (* -1::Int #11) -#119 := (+ #9 #118) -#120 := (<= #119 0::Int) -#121 := (iff #12 #120) -#122 := [rewrite]: #121 -#63 := [not-or-elim #62]: #12 -#123 := [mp #63 #122]: #120 -[th-lemma arith farkas 1 -1 1 #123 #157 #149]: false -314578dd8533fcbb8964e37afa9ad18771a56310 71 0 -unsat +#109 := (iff #19 #106) +#58 := (not #15) +#59 := (or #58 #16) +#65 := (not #12) +#66 := (or #65 #59) +#71 := (not #66) +#107 := (iff #71 #106) +#104 := (iff #66 #101) +#95 := (or #80 #84) +#98 := (or #92 #95) +#102 := (iff #98 #101) +#103 := [rewrite]: #102 +#99 := (iff #66 #98) +#96 := (iff #59 #95) +#85 := (iff #16 #84) +#86 := [rewrite]: #85 +#81 := (iff #58 #80) +#78 := (iff #15 #77) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#97 := [monotonicity #82 #86]: #96 +#93 := (iff #65 #92) +#90 := (iff #12 #89) +#91 := [rewrite]: #90 +#94 := [monotonicity #91]: #93 +#100 := [monotonicity #94 #97]: #99 +#105 := [trans #100 #103]: #104 +#108 := [monotonicity #105]: #107 +#72 := (iff #19 #71) +#69 := (iff #18 #66) +#62 := (implies #12 #59) +#67 := (iff #62 #66) +#68 := [rewrite]: #67 +#63 := (iff #18 #62) +#60 := (iff #17 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#70 := [trans #64 #68]: #69 +#73 := [monotonicity #70]: #72 +#110 := [trans #73 #108]: #109 +#57 := [asserted]: #19 +#111 := [mp #57 #110]: #106 +#113 := [not-or-elim #111]: #77 +#114 := (not #84) +#115 := [not-or-elim #111]: #114 +#112 := [not-or-elim #111]: #89 +[th-lemma arith farkas 1 -1 1 #112 #115 #113]: false +unsat +7b0882598adc749ae782704cbf82bc84a198ea68 86 0 #2 := false #26 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24586,70 +22775,85 @@ decl f4 :: S2 #7 := f4 #14 := (f3 f4 f7) -#120 := -1::Int -#150 := (* -1::Int #14) +#74 := -1::Int +#75 := (* -1::Int #14) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#151 := (+ #11 #150) -#152 := (<= #151 0::Int) -#15 := (<= #11 #14) -#153 := (iff #15 #152) -#154 := [rewrite]: #153 +#76 := (+ #11 #75) +#77 := (<= #76 0::Int) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) +#83 := (+ #9 #75) +#84 := (<= #83 0::Int) +#80 := (not #77) +#89 := (* -1::Int #11) +#90 := (+ #9 #89) +#88 := (>= #90 0::Int) +#106 := (or #88 #80 #84) +#111 := (not #106) #16 := (<= #9 #14) -#50 := (not #15) -#46 := (<= #11 #9) -#57 := (or #46 #50 #16) -#62 := (not #57) +#15 := (<= #11 #14) #17 := (implies #15 #16) #12 := (< #9 #11) #18 := (implies #12 #17) #19 := (not #18) -#63 := (iff #19 #62) -#60 := (iff #18 #57) -#51 := (or #50 #16) -#47 := (not #46) -#54 := (implies #47 #51) -#58 := (iff #54 #57) -#59 := [rewrite]: #58 -#55 := (iff #18 #54) -#52 := (iff #17 #51) -#53 := [rewrite]: #52 -#48 := (iff #12 #47) -#49 := [rewrite]: #48 -#56 := [monotonicity #49 #53]: #55 -#61 := [trans #56 #59]: #60 +#114 := (iff #19 #111) +#58 := (not #15) +#59 := (or #58 #16) +#65 := (not #12) +#66 := (or #65 #59) +#71 := (not #66) +#112 := (iff #71 #111) +#109 := (iff #66 #106) +#100 := (or #80 #84) +#103 := (or #88 #100) +#107 := (iff #103 #106) +#108 := [rewrite]: #107 +#104 := (iff #66 #103) +#101 := (iff #59 #100) +#85 := (iff #16 #84) +#86 := [rewrite]: #85 +#81 := (iff #58 #80) +#78 := (iff #15 #77) +#79 := [rewrite]: #78 +#82 := [monotonicity #79]: #81 +#102 := [monotonicity #82 #86]: #101 +#98 := (iff #65 #88) +#87 := (not #88) +#93 := (not #87) +#96 := (iff #93 #88) +#97 := [rewrite]: #96 +#94 := (iff #65 #93) +#91 := (iff #12 #87) +#92 := [rewrite]: #91 +#95 := [monotonicity #92]: #94 +#99 := [trans #95 #97]: #98 +#105 := [monotonicity #99 #102]: #104 +#110 := [trans #105 #108]: #109 +#113 := [monotonicity #110]: #112 +#72 := (iff #19 #71) +#69 := (iff #18 #66) +#62 := (implies #12 #59) +#67 := (iff #62 #66) +#68 := [rewrite]: #67 +#63 := (iff #18 #62) +#60 := (iff #17 #59) +#61 := [rewrite]: #60 #64 := [monotonicity #61]: #63 -#39 := [asserted]: #19 -#65 := [mp #39 #64]: #62 -#67 := [not-or-elim #65]: #15 -#155 := [mp #67 #154]: #152 -#123 := (* -1::Int #11) -#124 := (+ #9 #123) -#122 := (>= #124 0::Int) -#126 := (not #122) -#127 := (iff #47 #126) -#121 := (iff #46 #122) -#125 := [rewrite]: #121 -#128 := [monotonicity #125]: #127 -#66 := [not-or-elim #65]: #47 -#129 := [mp #66 #128]: #126 -#156 := (+ #9 #150) -#157 := (<= #156 0::Int) -#160 := (not #157) -#68 := (not #16) -#161 := (iff #68 #160) -#158 := (iff #16 #157) -#159 := [rewrite]: #158 -#162 := [monotonicity #159]: #161 -#69 := [not-or-elim #65]: #68 -#163 := [mp #69 #162]: #160 -[th-lemma arith farkas 1 1 1 #163 #129 #155]: false -171ded070b8a8323b4f2cd46ab63f8d215cdbc40 76 0 -unsat +#70 := [trans #64 #68]: #69 +#73 := [monotonicity #70]: #72 +#115 := [trans #73 #113]: #114 +#57 := [asserted]: #19 +#116 := [mp #57 #115]: #111 +#118 := [not-or-elim #116]: #77 +#117 := [not-or-elim #116]: #87 +#119 := (not #84) +#120 := [not-or-elim #116]: #119 +[th-lemma arith farkas 1 1 1 #120 #117 #118]: false +unsat +d78e40f60c9b56c29d89cfe670baf3737ca499b3 86 0 #2 := false #26 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24658,75 +22862,85 @@ decl f4 :: S2 #7 := f4 #14 := (f3 f4 f7) -#125 := -1::Int -#153 := (* -1::Int #14) +#74 := -1::Int +#77 := (* -1::Int #14) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#161 := (+ #9 #153) -#162 := (<= #161 0::Int) -#165 := (not #162) -#16 := (<= #9 #14) -#73 := (not #16) -#166 := (iff #73 #165) -#163 := (iff #16 #162) -#164 := [rewrite]: #163 -#167 := [monotonicity #164]: #166 +#88 := (+ #9 #77) +#89 := (<= #88 0::Int) +#119 := (not #89) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#46 := (<= #14 #11) -#12 := (<= #9 #11) -#61 := (not #12) -#62 := (or #61 #46 #16) -#67 := (not #62) +#78 := (+ #11 #77) +#76 := (>= #78 0::Int) +#92 := (* -1::Int #11) +#93 := (+ #9 #92) +#94 := (<= #93 0::Int) +#97 := (not #94) +#106 := (or #97 #76 #89) +#111 := (not #106) +#16 := (<= #9 #14) #15 := (< #11 #14) #17 := (implies #15 #16) +#12 := (<= #9 #11) #18 := (implies #12 #17) #19 := (not #18) -#68 := (iff #19 #67) -#65 := (iff #18 #62) -#53 := (or #46 #16) -#58 := (implies #12 #53) -#63 := (iff #58 #62) -#64 := [rewrite]: #63 -#59 := (iff #18 #58) -#56 := (iff #17 #53) -#47 := (not #46) -#50 := (implies #47 #16) -#54 := (iff #50 #53) -#55 := [rewrite]: #54 -#51 := (iff #17 #50) -#48 := (iff #15 #47) -#49 := [rewrite]: #48 -#52 := [monotonicity #49]: #51 -#57 := [trans #52 #55]: #56 -#60 := [monotonicity #57]: #59 -#66 := [trans #60 #64]: #65 -#69 := [monotonicity #66]: #68 -#39 := [asserted]: #19 -#70 := [mp #39 #69]: #67 -#74 := [not-or-elim #70]: #73 -#168 := [mp #74 #167]: #165 -#154 := (+ #11 #153) -#152 := (>= #154 0::Int) -#157 := (not #152) -#158 := (iff #47 #157) -#155 := (iff #46 #152) -#156 := [rewrite]: #155 -#159 := [monotonicity #156]: #158 -#72 := [not-or-elim #70]: #47 -#160 := [mp #72 #159]: #157 -#126 := (* -1::Int #11) -#127 := (+ #9 #126) -#128 := (<= #127 0::Int) -#129 := (iff #12 #128) -#130 := [rewrite]: #129 -#71 := [not-or-elim #70]: #12 -#131 := [mp #71 #130]: #128 -[th-lemma arith farkas 1 1 1 #131 #160 #168]: false -3442e0ff683ec86dfe8263beead19ae007eb6c5a 82 0 -unsat +#114 := (iff #19 #111) +#58 := (not #15) +#59 := (or #58 #16) +#65 := (not #12) +#66 := (or #65 #59) +#71 := (not #66) +#112 := (iff #71 #111) +#109 := (iff #66 #106) +#100 := (or #76 #89) +#103 := (or #97 #100) +#107 := (iff #103 #106) +#108 := [rewrite]: #107 +#104 := (iff #66 #103) +#101 := (iff #59 #100) +#90 := (iff #16 #89) +#91 := [rewrite]: #90 +#86 := (iff #58 #76) +#75 := (not #76) +#81 := (not #75) +#84 := (iff #81 #76) +#85 := [rewrite]: #84 +#82 := (iff #58 #81) +#79 := (iff #15 #75) +#80 := [rewrite]: #79 +#83 := [monotonicity #80]: #82 +#87 := [trans #83 #85]: #86 +#102 := [monotonicity #87 #91]: #101 +#98 := (iff #65 #97) +#95 := (iff #12 #94) +#96 := [rewrite]: #95 +#99 := [monotonicity #96]: #98 +#105 := [monotonicity #99 #102]: #104 +#110 := [trans #105 #108]: #109 +#113 := [monotonicity #110]: #112 +#72 := (iff #19 #71) +#69 := (iff #18 #66) +#62 := (implies #12 #59) +#67 := (iff #62 #66) +#68 := [rewrite]: #67 +#63 := (iff #18 #62) +#60 := (iff #17 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#70 := [trans #64 #68]: #69 +#73 := [monotonicity #70]: #72 +#115 := [trans #73 #113]: #114 +#57 := [asserted]: #19 +#116 := [mp #57 #115]: #111 +#120 := [not-or-elim #116]: #119 +#118 := [not-or-elim #116]: #75 +#117 := [not-or-elim #116]: #94 +[th-lemma arith farkas 1 1 1 #117 #118 #120]: false +unsat +355ace00757b4951a8f0a007e56528f29f4c829d 91 0 #2 := false #26 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24735,81 +22949,90 @@ decl f4 :: S2 #7 := f4 #14 := (f3 f4 f7) -#131 := -1::Int -#162 := (* -1::Int #14) +#74 := -1::Int +#77 := (* -1::Int #14) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#172 := (+ #9 #162) -#171 := (>= #172 0::Int) -#54 := (<= #14 #9) -#170 := (iff #54 #171) -#173 := [rewrite]: #170 -#55 := (not #54) +#90 := (+ #9 #77) +#89 := (>= #90 0::Int) +#88 := (not #89) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#50 := (<= #14 #11) -#46 := (<= #11 #9) -#69 := (or #46 #50 #55) -#74 := (not #69) +#78 := (+ #11 #77) +#76 := (>= #78 0::Int) +#95 := (* -1::Int #11) +#96 := (+ #9 #95) +#94 := (>= #96 0::Int) +#112 := (or #94 #76 #88) +#117 := (not #112) #16 := (< #9 #14) #15 := (< #11 #14) #17 := (implies #15 #16) #12 := (< #9 #11) #18 := (implies #12 #17) #19 := (not #18) -#75 := (iff #19 #74) -#72 := (iff #18 #69) -#61 := (or #50 #55) -#47 := (not #46) -#66 := (implies #47 #61) -#70 := (iff #66 #69) -#71 := [rewrite]: #70 -#67 := (iff #18 #66) -#64 := (iff #17 #61) -#51 := (not #50) -#58 := (implies #51 #55) -#62 := (iff #58 #61) -#63 := [rewrite]: #62 -#59 := (iff #17 #58) -#56 := (iff #16 #55) -#57 := [rewrite]: #56 -#52 := (iff #15 #51) -#53 := [rewrite]: #52 -#60 := [monotonicity #53 #57]: #59 -#65 := [trans #60 #63]: #64 -#48 := (iff #12 #47) -#49 := [rewrite]: #48 -#68 := [monotonicity #49 #65]: #67 -#73 := [trans #68 #71]: #72 -#76 := [monotonicity #73]: #75 -#39 := [asserted]: #19 -#77 := [mp #39 #76]: #74 -#80 := [not-or-elim #77]: #54 -#174 := [mp #80 #173]: #171 -#163 := (+ #11 #162) -#161 := (>= #163 0::Int) -#166 := (not #161) -#167 := (iff #51 #166) -#164 := (iff #50 #161) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#79 := [not-or-elim #77]: #51 -#169 := [mp #79 #168]: #166 -#134 := (* -1::Int #11) -#135 := (+ #9 #134) -#133 := (>= #135 0::Int) -#137 := (not #133) -#138 := (iff #47 #137) -#132 := (iff #46 #133) -#136 := [rewrite]: #132 -#139 := [monotonicity #136]: #138 -#78 := [not-or-elim #77]: #47 -#140 := [mp #78 #139]: #137 -[th-lemma arith farkas 1 1 1 #140 #169 #174]: false -29a6322268f6966071dac48d687e18d152c2d9a2 90 0 -unsat +#120 := (iff #19 #117) +#58 := (not #15) +#59 := (or #58 #16) +#65 := (not #12) +#66 := (or #65 #59) +#71 := (not #66) +#118 := (iff #71 #117) +#115 := (iff #66 #112) +#106 := (or #76 #88) +#109 := (or #94 #106) +#113 := (iff #109 #112) +#114 := [rewrite]: #113 +#110 := (iff #66 #109) +#107 := (iff #59 #106) +#91 := (iff #16 #88) +#92 := [rewrite]: #91 +#86 := (iff #58 #76) +#75 := (not #76) +#81 := (not #75) +#84 := (iff #81 #76) +#85 := [rewrite]: #84 +#82 := (iff #58 #81) +#79 := (iff #15 #75) +#80 := [rewrite]: #79 +#83 := [monotonicity #80]: #82 +#87 := [trans #83 #85]: #86 +#108 := [monotonicity #87 #92]: #107 +#104 := (iff #65 #94) +#93 := (not #94) +#99 := (not #93) +#102 := (iff #99 #94) +#103 := [rewrite]: #102 +#100 := (iff #65 #99) +#97 := (iff #12 #93) +#98 := [rewrite]: #97 +#101 := [monotonicity #98]: #100 +#105 := [trans #101 #103]: #104 +#111 := [monotonicity #105 #108]: #110 +#116 := [trans #111 #114]: #115 +#119 := [monotonicity #116]: #118 +#72 := (iff #19 #71) +#69 := (iff #18 #66) +#62 := (implies #12 #59) +#67 := (iff #62 #66) +#68 := [rewrite]: #67 +#63 := (iff #18 #62) +#60 := (iff #17 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#70 := [trans #64 #68]: #69 +#73 := [monotonicity #70]: #72 +#121 := [trans #73 #119]: #120 +#57 := [asserted]: #19 +#122 := [mp #57 #121]: #117 +#125 := [not-or-elim #122]: #89 +#124 := [not-or-elim #122]: #75 +#123 := [not-or-elim #122]: #93 +[th-lemma arith farkas 1 1 1 #123 #124 #125]: false +unsat +c6e2a76c11802bc1dbc13937c0da68298caebc2d 75 0 #2 := false #27 := 0::Int decl f3 :: (-> S2 S3 Int) @@ -24818,31 +23041,28 @@ decl f4 :: S2 #7 := f4 #14 := (f3 f4 f7) -#136 := -1::Int -#167 := (* -1::Int #14) +#66 := -1::Int +#74 := (* -1::Int #14) decl f5 :: S3 #8 := f5 #9 := (f3 f4 f5) -#175 := (+ #9 #167) -#176 := (<= #175 0::Int) -#179 := (not #176) -#58 := (<= #9 #14) -#59 := (not #58) -#180 := (iff #59 #179) -#177 := (iff #58 #176) -#178 := [rewrite]: #177 -#181 := [monotonicity #178]: #180 +#85 := (+ #9 #74) +#86 := (<= #85 0::Int) +#87 := (not #86) decl f6 :: S3 #10 := f6 #11 := (f3 f4 f6) -#51 := (<= #14 #11) -#52 := (not #51) -#47 := (<= #11 #9) -#48 := (not #47) -#55 := (and #48 #52) -#72 := (not #55) -#73 := (or #72 #58) -#78 := (not #73) +#75 := (+ #11 #74) +#73 := (>= #75 0::Int) +#76 := (not #73) +#69 := (* -1::Int #11) +#70 := (+ #9 #69) +#68 := (>= #70 0::Int) +#67 := (not #68) +#79 := (and #67 #76) +#82 := (not #79) +#97 := (or #82 #86) +#100 := (not #97) #17 := (< #14 #9) #18 := (not #17) #15 := (< #11 #14) @@ -24850,154 +23070,142 @@ #16 := (and #12 #15) #19 := (implies #16 #18) #20 := (not #19) -#79 := (iff #20 #78) -#76 := (iff #19 #73) -#69 := (implies #55 #58) -#74 := (iff #69 #73) -#75 := [rewrite]: #74 -#70 := (iff #19 #69) -#67 := (iff #18 #58) -#62 := (not #59) -#65 := (iff #62 #58) -#66 := [rewrite]: #65 -#63 := (iff #18 #62) -#60 := (iff #17 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#68 := [trans #64 #66]: #67 -#56 := (iff #16 #55) -#53 := (iff #15 #52) -#54 := [rewrite]: #53 -#49 := (iff #12 #48) -#50 := [rewrite]: #49 -#57 := [monotonicity #50 #54]: #56 -#71 := [monotonicity #57 #68]: #70 -#77 := [trans #71 #75]: #76 -#80 := [monotonicity #77]: #79 -#40 := [asserted]: #20 -#81 := [mp #40 #80]: #78 -#85 := [not-or-elim #81]: #59 -#182 := [mp #85 #181]: #179 -#168 := (+ #11 #167) -#166 := (>= #168 0::Int) -#171 := (not #166) -#172 := (iff #52 #171) -#169 := (iff #51 #166) -#170 := [rewrite]: #169 -#173 := [monotonicity #170]: #172 -#82 := [not-or-elim #81]: #55 -#84 := [and-elim #82]: #52 -#174 := [mp #84 #173]: #171 -#139 := (* -1::Int #11) -#140 := (+ #9 #139) -#138 := (>= #140 0::Int) -#142 := (not #138) -#143 := (iff #48 #142) -#137 := (iff #47 #138) -#141 := [rewrite]: #137 -#144 := [monotonicity #141]: #143 -#83 := [and-elim #82]: #48 -#145 := [mp #83 #144]: #142 -[th-lemma arith farkas 1 1 1 #145 #174 #182]: false -6d0934f7a1554664ef5aab68f018c40077851491 17 0 -unsat +#103 := (iff #20 #100) +#59 := (not #16) +#60 := (or #59 #18) +#63 := (not #60) +#101 := (iff #63 #100) +#98 := (iff #60 #97) +#95 := (iff #18 #86) +#90 := (not #87) +#93 := (iff #90 #86) +#94 := [rewrite]: #93 +#91 := (iff #18 #90) +#88 := (iff #17 #87) +#89 := [rewrite]: #88 +#92 := [monotonicity #89]: #91 +#96 := [trans #92 #94]: #95 +#83 := (iff #59 #82) +#80 := (iff #16 #79) +#77 := (iff #15 #76) +#78 := [rewrite]: #77 +#71 := (iff #12 #67) +#72 := [rewrite]: #71 +#81 := [monotonicity #72 #78]: #80 +#84 := [monotonicity #81]: #83 +#99 := [monotonicity #84 #96]: #98 +#102 := [monotonicity #99]: #101 +#64 := (iff #20 #63) +#61 := (iff #19 #60) +#62 := [rewrite]: #61 +#65 := [monotonicity #62]: #64 +#104 := [trans #65 #102]: #103 +#58 := [asserted]: #20 +#105 := [mp #58 #104]: #100 +#109 := [not-or-elim #105]: #87 +#106 := [not-or-elim #105]: #79 +#108 := [and-elim #106]: #76 +#107 := [and-elim #106]: #67 +[th-lemma arith farkas 1 1 1 #107 #108 #109]: false +unsat +f1af9130b40233478fdc7662d2e61597d0d0c162 17 0 #2 := false #7 := 0::Int #8 := (= 0::Int 0::Int) #9 := (not #8) -#22 := (iff #9 false) -#1 := true -#17 := (not true) -#20 := (iff #17 false) -#21 := [rewrite]: #20 -#18 := (iff #9 #17) -#15 := (iff #8 true) -#16 := [rewrite]: #15 -#19 := [monotonicity #16]: #18 -#23 := [trans #19 #21]: #22 -#11 := [asserted]: #9 -[mp #11 #23]: false -d7b98ca131502dcbf6e72e7a62827571cacaa1f4 25 0 -unsat +#37 := (iff #9 false) +#1 := true +#32 := (not true) +#35 := (iff #32 false) +#36 := [rewrite]: #35 +#33 := (iff #9 #32) +#30 := (iff #8 true) +#31 := [rewrite]: #30 +#34 := [monotonicity #31]: #33 +#38 := [trans #34 #36]: #37 +#29 := [asserted]: #9 +[mp #29 #38]: false +unsat +df5bd564889a3a421a410f30957cfbf7950c8d24 25 0 #2 := false #7 := 0::Int #8 := (- 0::Int) #9 := (= 0::Int #8) #10 := (not #9) -#30 := (iff #10 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #10 #25) -#23 := (iff #9 true) -#18 := (= 0::Int 0::Int) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #9 #18) -#16 := (= #8 0::Int) -#17 := [rewrite]: #16 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#12 := [asserted]: #10 -[mp #12 #31]: false -7b0ec950272ab38d7bef78f0f0033a39806c5288 17 0 -unsat +#45 := (iff #10 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #10 #40) +#38 := (iff #9 true) +#33 := (= 0::Int 0::Int) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #9 #33) +#31 := (= #8 0::Int) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#30 := [asserted]: #10 +[mp #30 #46]: false +unsat +7bb6bad9020ee08bca9f57f4097fba1ccde7a752 17 0 #2 := false #7 := 1::Int #8 := (= 1::Int 1::Int) #9 := (not #8) -#23 := (iff #9 false) -#1 := true -#18 := (not true) -#21 := (iff #18 false) -#22 := [rewrite]: #21 -#19 := (iff #9 #18) -#16 := (iff #8 true) -#17 := [rewrite]: #16 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#11 := [asserted]: #9 -[mp #11 #24]: false -5bacae6f5a25de48b565a5f4f260454983cf0324 34 0 -unsat +#38 := (iff #9 false) +#1 := true +#33 := (not true) +#36 := (iff #33 false) +#37 := [rewrite]: #36 +#34 := (iff #9 #33) +#31 := (iff #8 true) +#32 := [rewrite]: #31 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#30 := [asserted]: #9 +[mp #30 #39]: false +unsat +e358808f536492e400da2798c38454f7a31ee728 34 0 #2 := false #7 := 1::Int #8 := (- 1::Int) #9 := (= #8 1::Int) #10 := (not #9) #11 := (not #10) -#41 := (iff #11 false) -#1 := true -#36 := (not true) +#55 := (iff #11 false) +#1 := true +#50 := (not true) +#53 := (iff #50 false) +#54 := [rewrite]: #53 +#51 := (iff #11 #50) +#48 := (iff #10 true) +#43 := (not false) +#46 := (iff #43 true) +#47 := [rewrite]: #46 +#44 := (iff #10 #43) +#41 := (iff #9 false) +#33 := -1::Int +#36 := (= -1::Int 1::Int) #39 := (iff #36 false) #40 := [rewrite]: #39 -#37 := (iff #11 #36) -#34 := (iff #10 true) -#29 := (not false) -#32 := (iff #29 true) -#33 := [rewrite]: #32 -#30 := (iff #10 #29) -#27 := (iff #9 false) -#17 := -1::Int -#20 := (= -1::Int 1::Int) -#25 := (iff #20 false) -#26 := [rewrite]: #25 -#21 := (iff #9 #20) -#18 := (= #8 -1::Int) -#19 := [rewrite]: #18 -#22 := [monotonicity #19]: #21 -#28 := [trans #22 #26]: #27 -#31 := [monotonicity #28]: #30 -#35 := [trans #31 #33]: #34 +#37 := (iff #9 #36) +#34 := (= #8 -1::Int) +#35 := [rewrite]: #34 #38 := [monotonicity #35]: #37 #42 := [trans #38 #40]: #41 -#13 := [asserted]: #11 -[mp #13 #42]: false -51cefbb0434bd040121aa77cae27123fd91052b1 50 0 -unsat +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#52 := [monotonicity #49]: #51 +#56 := [trans #52 #54]: #55 +#32 := [asserted]: #11 +[mp #32 #56]: false +unsat +289258b061b6c2ab7d0444f514f156a31ab808a5 40 0 #2 := false #11 := 567::Int #9 := 345::Int @@ -25006,90 +23214,70 @@ #10 := (+ #8 345::Int) #12 := (< #10 567::Int) #13 := (not #12) -#56 := (iff #13 false) -#1 := true -#51 := (not true) -#54 := (iff #51 false) -#55 := [rewrite]: #54 -#52 := (iff #13 #51) -#49 := (iff #12 true) -#25 := 222::Int -#33 := (<= 567::Int 222::Int) -#34 := (not #33) -#47 := (iff #34 true) -#42 := (not false) -#45 := (iff #42 true) -#46 := [rewrite]: #45 -#43 := (iff #34 #42) -#39 := (iff #33 false) -#41 := [rewrite]: #39 -#44 := [monotonicity #41]: #43 -#48 := [trans #44 #46]: #47 -#37 := (iff #12 #34) -#30 := (< 222::Int 567::Int) -#35 := (iff #30 #34) -#36 := [rewrite]: #35 -#31 := (iff #12 #30) -#28 := (= #10 222::Int) -#19 := -123::Int -#22 := (+ -123::Int 345::Int) -#26 := (= #22 222::Int) -#27 := [rewrite]: #26 -#23 := (= #10 #22) -#20 := (= #8 -123::Int) -#21 := [rewrite]: #20 -#24 := [monotonicity #21]: #23 -#29 := [trans #24 #27]: #28 -#32 := [monotonicity #29]: #31 -#38 := [trans #32 #36]: #37 -#50 := [trans #38 #48]: #49 -#53 := [monotonicity #50]: #52 -#57 := [trans #53 #55]: #56 -#15 := [asserted]: #13 -[mp #15 #57]: false -7a443dccb932d2e9c10f10108463fa3fd7f3208f 40 0 -unsat +#61 := (iff #13 false) +#41 := 222::Int +#46 := (< 222::Int 567::Int) +#49 := (not #46) +#59 := (iff #49 false) +#1 := true +#54 := (not true) +#57 := (iff #54 false) +#58 := [rewrite]: #57 +#55 := (iff #49 #54) +#52 := (iff #46 true) +#53 := [rewrite]: #52 +#56 := [monotonicity #53]: #55 +#60 := [trans #56 #58]: #59 +#50 := (iff #13 #49) +#47 := (iff #12 #46) +#44 := (= #10 222::Int) +#35 := -123::Int +#38 := (+ -123::Int 345::Int) +#42 := (= #38 222::Int) +#43 := [rewrite]: #42 +#39 := (= #10 #38) +#36 := (= #8 -123::Int) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#45 := [trans #40 #43]: #44 +#48 := [monotonicity #45]: #47 +#51 := [monotonicity #48]: #50 +#62 := [trans #51 #60]: #61 +#34 := [asserted]: #13 +[mp #34 #62]: false +unsat +ec3d9bd94c80cde36f0de69695b202f9ddf0b4fa 30 0 #2 := false #9 := 2345678901::Int #7 := 123456789::Int #8 := (- 123456789::Int) #10 := (< #8 2345678901::Int) #11 := (not #10) -#46 := (iff #11 false) -#1 := true -#41 := (not true) -#44 := (iff #41 false) -#45 := [rewrite]: #44 -#42 := (iff #11 #41) -#39 := (iff #10 true) -#17 := -123456789::Int -#23 := (<= 2345678901::Int -123456789::Int) -#24 := (not #23) -#37 := (iff #24 true) -#32 := (not false) -#35 := (iff #32 true) -#36 := [rewrite]: #35 -#33 := (iff #24 #32) -#29 := (iff #23 false) -#31 := [rewrite]: #29 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#27 := (iff #10 #24) -#20 := (< -123456789::Int 2345678901::Int) -#25 := (iff #20 #24) -#26 := [rewrite]: #25 -#21 := (iff #10 #20) -#18 := (= #8 -123456789::Int) -#19 := [rewrite]: #18 -#22 := [monotonicity #19]: #21 -#28 := [trans #22 #26]: #27 -#40 := [trans #28 #38]: #39 -#43 := [monotonicity #40]: #42 -#47 := [trans #43 #45]: #46 -#13 := [asserted]: #11 -[mp #13 #47]: false -50989c5e2e539fd2d1d21182edd10ff7b62c09eb 26 0 -unsat +#51 := (iff #11 false) +#33 := -123456789::Int +#36 := (< -123456789::Int 2345678901::Int) +#39 := (not #36) +#49 := (iff #39 false) +#1 := true +#44 := (not true) +#47 := (iff #44 false) +#48 := [rewrite]: #47 +#45 := (iff #39 #44) +#42 := (iff #36 true) +#43 := [rewrite]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#40 := (iff #11 #39) +#37 := (iff #10 #36) +#34 := (= #8 -123456789::Int) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#41 := [monotonicity #38]: #40 +#52 := [trans #41 #50]: #51 +#32 := [asserted]: #11 +[mp #32 #52]: false +unsat +e691c4b38a0343c2894ab60a09c5cabe20925699 26 0 #2 := false decl f3 :: Int #7 := f3 @@ -25097,26 +23285,26 @@ #9 := (+ f3 0::Int) #10 := (= #9 f3) #11 := (not #10) -#30 := (iff #11 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #11 #25) -#23 := (iff #10 true) -#18 := (= f3 f3) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#13 := [asserted]: #11 -[mp #13 #31]: false -46aef7ce6988ff7631483393ec6098c7fafc37bd 26 0 -unsat +#45 := (iff #11 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 true) +#33 := (= f3 f3) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#32 := [rewrite]: #10 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#31 := [asserted]: #11 +[mp #31 #46]: false +unsat +5c4b8f51c8c77bd1a261a8ed01b60034ae255cfc 26 0 #2 := false decl f3 :: Int #8 := f3 @@ -25124,26 +23312,26 @@ #9 := (+ 0::Int f3) #10 := (= #9 f3) #11 := (not #10) -#30 := (iff #11 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #11 #25) -#23 := (iff #10 true) -#18 := (= f3 f3) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#13 := [asserted]: #11 -[mp #13 #31]: false -9152c9719df8a2e68b390a97f0a98cb0b7ca2d0c 22 0 -unsat +#45 := (iff #11 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 true) +#33 := (= f3 f3) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#32 := [rewrite]: #10 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#31 := [asserted]: #11 +[mp #31 #46]: false +unsat +01d4aea8f66d97bfd6d4aa17e6a8adfadb01a40a 29 0 #2 := false decl f3 :: Int #7 := f3 @@ -25153,20 +23341,27 @@ #9 := (+ f3 f4) #11 := (= #9 #10) #12 := (not #11) -#26 := (iff #12 false) -#1 := true -#21 := (not true) -#24 := (iff #21 false) -#25 := [rewrite]: #24 -#22 := (iff #12 #21) -#19 := (iff #11 true) -#20 := [rewrite]: #19 -#23 := [monotonicity #20]: #22 -#27 := [trans #23 #25]: #26 -#14 := [asserted]: #12 -[mp #14 #27]: false -95e4d4805727a56da5d566d8d814d0ecdf083226 36 0 -unsat +#48 := (iff #12 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #12 #43) +#41 := (iff #11 true) +#36 := (= #9 #9) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #11 #36) +#34 := (= #10 #9) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#33 := [asserted]: #12 +[mp #33 #49]: false +unsat +7c37cd9f2beeef1c65d4ffd557883d8830a3d5c8 33 0 #2 := false decl f5 :: Int #9 := f5 @@ -25180,129 +23375,127 @@ #11 := (+ f3 #10) #14 := (= #11 #13) #15 := (not #14) -#39 := (iff #15 false) -#1 := true -#34 := (not true) -#37 := (iff #34 false) +#51 := (iff #15 false) +#1 := true +#46 := (not true) +#49 := (iff #46 false) +#50 := [rewrite]: #49 +#47 := (iff #15 #46) +#44 := (iff #14 true) +#39 := (= #11 #11) +#42 := (iff #39 true) +#43 := [rewrite]: #42 +#40 := (iff #14 #39) +#37 := (= #13 #11) #38 := [rewrite]: #37 -#35 := (iff #15 #34) -#32 := (iff #14 true) -#21 := (+ f3 f4 f5) -#26 := (= #21 #21) -#30 := (iff #26 true) -#31 := [rewrite]: #30 -#27 := (iff #14 #26) -#24 := (= #13 #21) -#25 := [rewrite]: #24 -#22 := (= #11 #21) -#23 := [rewrite]: #22 -#28 := [monotonicity #23 #25]: #27 -#33 := [trans #28 #31]: #32 -#36 := [monotonicity #33]: #35 -#40 := [trans #36 #38]: #39 -#17 := [asserted]: #15 -[mp #17 #40]: false -1425e9f9c7d957418c96ef3737bc95f0ad15e232 44 0 -unsat +#41 := [monotonicity #38]: #40 +#45 := [trans #41 #43]: #44 +#48 := [monotonicity #45]: #47 +#52 := [trans #48 #50]: #51 +#36 := [asserted]: #15 +[mp #36 #52]: false +unsat +f7b791c457a131b93a9eb5502d849317ab54ee47 45 0 #2 := false decl f4 :: Int #8 := f4 -#21 := -1::Int -#22 := (* -1::Int f4) +#12 := (- f4) decl f3 :: Int #7 := f3 -#25 := (= f3 #22) +#13 := (= f3 #12) #10 := 0::Int #9 := (+ f3 f4) #11 := (= #9 0::Int) -#34 := (not #11) -#35 := (iff #34 #25) -#68 := (iff #35 false) -#63 := (iff #34 #11) -#66 := (iff #63 false) -#67 := [rewrite]: #66 -#64 := (iff #35 #63) -#61 := (iff #25 #11) -#62 := [rewrite]: #61 -#65 := [monotonicity #62]: #64 -#69 := [trans #65 #67]: #68 -#12 := (- f4) -#13 := (= f3 #12) #14 := (iff #11 #13) #15 := (not #14) -#38 := (iff #15 #35) -#28 := (iff #11 #25) -#31 := (not #28) -#36 := (iff #31 #35) -#37 := [rewrite]: #36 -#32 := (iff #15 #31) -#29 := (iff #14 #28) -#26 := (iff #13 #25) -#23 := (= #12 #22) -#24 := [rewrite]: #23 -#27 := [monotonicity #24]: #26 -#30 := [monotonicity #27]: #29 -#33 := [monotonicity #30]: #32 -#39 := [trans #33 #37]: #38 -#17 := [asserted]: #15 -#40 := [mp #17 #39]: #35 -[mp #40 #69]: false -3d809dbe33000063b4a57a66bb51f680bedfd6e0 26 0 -unsat +#64 := (iff #15 false) +#36 := -1::Int +#37 := (* -1::Int f4) +#40 := (= f3 #37) +#49 := (not #11) +#50 := (iff #49 #40) +#62 := (iff #50 false) +#57 := (iff #49 #11) +#60 := (iff #57 false) +#61 := [rewrite]: #60 +#58 := (iff #50 #57) +#55 := (iff #40 #11) +#56 := [rewrite]: #55 +#59 := [monotonicity #56]: #58 +#63 := [trans #59 #61]: #62 +#53 := (iff #15 #50) +#43 := (iff #11 #40) +#46 := (not #43) +#51 := (iff #46 #50) +#52 := [rewrite]: #51 +#47 := (iff #15 #46) +#44 := (iff #14 #43) +#41 := (iff #13 #40) +#38 := (= #12 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39]: #41 +#45 := [monotonicity #42]: #44 +#48 := [monotonicity #45]: #47 +#54 := [trans #48 #52]: #53 +#65 := [trans #54 #63]: #64 +#35 := [asserted]: #15 +[mp #35 #65]: false +unsat +310dcc34c35fac2a90c97769561f401f5711a5cb 26 0 #2 := false #7 := 1::Int #8 := (- 1::Int) #9 := (= #8 #8) #10 := (not #9) -#32 := (iff #10 false) -#1 := true -#27 := (not true) -#30 := (iff #27 false) -#31 := [rewrite]: #30 -#28 := (iff #10 #27) -#25 := (iff #9 true) -#16 := -1::Int -#19 := (= -1::Int -1::Int) -#23 := (iff #19 true) -#24 := [rewrite]: #23 -#20 := (iff #9 #19) -#17 := (= #8 -1::Int) -#18 := [rewrite]: #17 -#21 := [monotonicity #18 #18]: #20 -#26 := [trans #21 #24]: #25 -#29 := [monotonicity #26]: #28 -#33 := [trans #29 #31]: #32 -#12 := [asserted]: #10 -[mp #12 #33]: false -feed10a69235d8fa170bcc786549b25dc16a103c 26 0 -unsat +#47 := (iff #10 false) +#1 := true +#42 := (not true) +#45 := (iff #42 false) +#46 := [rewrite]: #45 +#43 := (iff #10 #42) +#40 := (iff #9 true) +#32 := -1::Int +#35 := (= -1::Int -1::Int) +#38 := (iff #35 true) +#39 := [rewrite]: #38 +#36 := (iff #9 #35) +#33 := (= #8 -1::Int) +#34 := [rewrite]: #33 +#37 := [monotonicity #34 #34]: #36 +#41 := [trans #37 #39]: #40 +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#31 := [asserted]: #10 +[mp #31 #48]: false +unsat +cec035ee1776e184f791b0a4756799d613e13376 26 0 #2 := false #7 := 3::Int #8 := (- 3::Int) #9 := (= #8 #8) #10 := (not #9) -#32 := (iff #10 false) -#1 := true -#27 := (not true) -#30 := (iff #27 false) -#31 := [rewrite]: #30 -#28 := (iff #10 #27) -#25 := (iff #9 true) -#16 := -3::Int -#19 := (= -3::Int -3::Int) -#23 := (iff #19 true) -#24 := [rewrite]: #23 -#20 := (iff #9 #19) -#17 := (= #8 -3::Int) -#18 := [rewrite]: #17 -#21 := [monotonicity #18 #18]: #20 -#26 := [trans #21 #24]: #25 -#29 := [monotonicity #26]: #28 -#33 := [trans #29 #31]: #32 -#12 := [asserted]: #10 -[mp #12 #33]: false -e72ea83a2103fac5da57de85cef39aa4509d9d7f 50 0 -unsat +#47 := (iff #10 false) +#1 := true +#42 := (not true) +#45 := (iff #42 false) +#46 := [rewrite]: #45 +#43 := (iff #10 #42) +#40 := (iff #9 true) +#32 := -3::Int +#35 := (= -3::Int -3::Int) +#38 := (iff #35 true) +#39 := [rewrite]: #38 +#36 := (iff #9 #35) +#33 := (= #8 -3::Int) +#34 := [rewrite]: #33 +#37 := [monotonicity #34 #34]: #36 +#41 := [trans #37 #39]: #40 +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#31 := [asserted]: #10 +[mp #31 #48]: false +unsat +3815df4ff70adc684db4806205e34634fa08e24e 53 0 #2 := false decl f3 :: Int #7 := f3 @@ -25312,48 +23505,51 @@ #10 := (< #8 0::Int) #12 := (iff #10 #11) #13 := (not #12) -#54 := (iff #13 false) -#1 := true -#49 := (not true) -#52 := (iff #49 false) -#53 := [rewrite]: #52 -#50 := (iff #13 #49) -#47 := (iff #12 true) -#32 := (<= f3 0::Int) -#35 := (not #32) -#42 := (iff #35 #35) -#45 := (iff #42 true) -#46 := [rewrite]: #45 -#43 := (iff #12 #42) -#40 := (iff #11 #35) -#41 := [rewrite]: #40 -#38 := (iff #10 #35) -#19 := -1::Int -#20 := (* -1::Int f3) -#26 := (<= 0::Int #20) -#27 := (not #26) -#36 := (iff #27 #35) -#33 := (iff #26 #32) -#34 := [rewrite]: #33 -#37 := [monotonicity #34]: #36 -#30 := (iff #10 #27) -#23 := (< #20 0::Int) -#28 := (iff #23 #27) -#29 := [rewrite]: #28 -#24 := (iff #10 #23) -#21 := (= #8 #20) -#22 := [rewrite]: #21 -#25 := [monotonicity #22]: #24 -#31 := [trans #25 #29]: #30 -#39 := [trans #31 #37]: #38 -#44 := [monotonicity #39 #41]: #43 -#48 := [trans #44 #46]: #47 -#51 := [monotonicity #48]: #50 -#55 := [trans #51 #53]: #54 -#15 := [asserted]: #13 -[mp #15 #55]: false -6091664b0a1373cda23f55c1b3120db85d0b3b95 50 0 -unsat +#73 := (iff #13 false) +#34 := -1::Int +#35 := (* -1::Int f3) +#38 := (< #35 0::Int) +#47 := (not #38) +#48 := (iff #47 #11) +#71 := (iff #48 false) +#53 := (<= f3 0::Int) +#54 := (not #53) +#66 := (iff #53 #54) +#69 := (iff #66 false) +#70 := [rewrite]: #69 +#67 := (iff #48 #66) +#64 := (iff #11 #54) +#65 := [rewrite]: #64 +#62 := (iff #47 #53) +#57 := (not #54) +#60 := (iff #57 #53) +#61 := [rewrite]: #60 +#58 := (iff #47 #57) +#55 := (iff #38 #54) +#56 := [rewrite]: #55 +#59 := [monotonicity #56]: #58 +#63 := [trans #59 #61]: #62 +#68 := [monotonicity #63 #65]: #67 +#72 := [trans #68 #70]: #71 +#51 := (iff #13 #48) +#41 := (iff #38 #11) +#44 := (not #41) +#49 := (iff #44 #48) +#50 := [rewrite]: #49 +#45 := (iff #13 #44) +#42 := (iff #12 #41) +#39 := (iff #10 #38) +#36 := (= #8 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#46 := [monotonicity #43]: #45 +#52 := [trans #46 #50]: #51 +#74 := [trans #52 #72]: #73 +#33 := [asserted]: #13 +[mp #33 #74]: false +unsat +0a4435dcf9c2c38efb971e8501cc52dde8c28b6b 61 0 #2 := false #7 := 0::Int decl f3 :: Int @@ -25363,110 +23559,121 @@ #9 := (< 0::Int f3) #12 := (implies #9 #11) #13 := (not #12) -#54 := (iff #13 false) -#1 := true -#49 := (not true) -#52 := (iff #49 false) -#53 := [rewrite]: #52 -#50 := (iff #13 #49) -#47 := (iff #12 true) -#19 := (<= f3 0::Int) -#20 := (not #19) -#42 := (implies #20 #20) -#45 := (iff #42 true) -#46 := [rewrite]: #45 -#43 := (iff #12 #42) -#40 := (iff #11 #20) -#23 := -1::Int -#24 := (* -1::Int f3) -#30 := (<= 0::Int #24) -#31 := (not #30) -#38 := (iff #31 #20) -#36 := (iff #30 #19) +#80 := (iff #13 false) +#34 := -1::Int +#35 := (* -1::Int f3) +#38 := (< #35 0::Int) +#44 := (not #9) +#45 := (or #44 #38) +#50 := (not #45) +#78 := (iff #50 false) +#1 := true +#73 := (not true) +#76 := (iff #73 false) +#77 := [rewrite]: #76 +#74 := (iff #50 #73) +#71 := (iff #45 true) +#53 := (<= f3 0::Int) +#54 := (not #53) +#66 := (or #53 #54) +#69 := (iff #66 true) +#70 := [rewrite]: #69 +#67 := (iff #45 #66) +#64 := (iff #38 #54) +#65 := [rewrite]: #64 +#62 := (iff #44 #53) +#57 := (not #54) +#60 := (iff #57 #53) +#61 := [rewrite]: #60 +#58 := (iff #44 #57) +#55 := (iff #9 #54) +#56 := [rewrite]: #55 +#59 := [monotonicity #56]: #58 +#63 := [trans #59 #61]: #62 +#68 := [monotonicity #63 #65]: #67 +#72 := [trans #68 #70]: #71 +#75 := [monotonicity #72]: #74 +#79 := [trans #75 #77]: #78 +#51 := (iff #13 #50) +#48 := (iff #12 #45) +#41 := (implies #9 #38) +#46 := (iff #41 #45) +#47 := [rewrite]: #46 +#42 := (iff #12 #41) +#39 := (iff #11 #38) +#36 := (= #10 #35) #37 := [rewrite]: #36 -#39 := [monotonicity #37]: #38 -#34 := (iff #11 #31) -#27 := (< #24 0::Int) -#32 := (iff #27 #31) -#33 := [rewrite]: #32 -#28 := (iff #11 #27) -#25 := (= #10 #24) -#26 := [rewrite]: #25 -#29 := [monotonicity #26]: #28 -#35 := [trans #29 #33]: #34 -#41 := [trans #35 #39]: #40 -#21 := (iff #9 #20) -#22 := [rewrite]: #21 -#44 := [monotonicity #22 #41]: #43 -#48 := [trans #44 #46]: #47 -#51 := [monotonicity #48]: #50 -#55 := [trans #51 #53]: #54 -#15 := [asserted]: #13 -[mp #15 #55]: false -3e653d037824a2320dc7a17d2f1470042381c4df 61 0 -unsat -#2 := false +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#49 := [trans #43 #47]: #48 +#52 := [monotonicity #49]: #51 +#81 := [trans #52 #79]: #80 +#33 := [asserted]: #13 +[mp #33 #81]: false +unsat +ff6b944415a61fef8e7066737bb3f4071effee41 61 0 +#2 := false +decl f3 :: Int +#7 := f3 +#10 := (- f3) #8 := 0::Int -decl f3 :: Int -#7 := f3 -#41 := (>= f3 0::Int) -#44 := (not #41) -#19 := (<= 0::Int f3) -#52 := (or #19 #44) -#57 := (not #52) -#10 := (- f3) #11 := (< 0::Int #10) #9 := (< f3 0::Int) #12 := (implies #9 #11) #13 := (not #12) -#58 := (iff #13 #57) -#55 := (iff #12 #52) -#20 := (not #19) -#49 := (implies #20 #44) -#53 := (iff #49 #52) -#54 := [rewrite]: #53 -#50 := (iff #12 #49) -#47 := (iff #11 #44) -#28 := -1::Int -#29 := (* -1::Int f3) -#35 := (<= #29 0::Int) -#36 := (not #35) -#45 := (iff #36 #44) -#42 := (iff #35 #41) -#43 := [rewrite]: #42 -#46 := [monotonicity #43]: #45 -#39 := (iff #11 #36) -#32 := (< 0::Int #29) -#37 := (iff #32 #36) -#38 := [rewrite]: #37 -#33 := (iff #11 #32) -#30 := (= #10 #29) -#31 := [rewrite]: #30 -#34 := [monotonicity #31]: #33 -#40 := [trans #34 #38]: #39 -#48 := [trans #40 #46]: #47 -#21 := (iff #9 #20) -#25 := (iff #20 #20) -#23 := (iff #19 #19) -#24 := [rewrite]: #23 -#26 := [monotonicity #24]: #25 -#22 := [rewrite]: #21 -#27 := [trans #22 #26]: #21 -#51 := [monotonicity #27 #48]: #50 -#56 := [trans #51 #54]: #55 +#80 := (iff #13 false) +#34 := -1::Int +#35 := (* -1::Int f3) +#38 := (< 0::Int #35) +#44 := (not #9) +#45 := (or #44 #38) +#50 := (not #45) +#78 := (iff #50 false) +#1 := true +#73 := (not true) +#76 := (iff #73 false) +#77 := [rewrite]: #76 +#74 := (iff #50 #73) +#71 := (iff #45 true) +#53 := (>= f3 0::Int) +#54 := (not #53) +#66 := (or #53 #54) +#69 := (iff #66 true) +#70 := [rewrite]: #69 +#67 := (iff #45 #66) +#64 := (iff #38 #54) +#65 := [rewrite]: #64 +#62 := (iff #44 #53) +#57 := (not #54) +#60 := (iff #57 #53) +#61 := [rewrite]: #60 +#58 := (iff #44 #57) +#55 := (iff #9 #54) +#56 := [rewrite]: #55 #59 := [monotonicity #56]: #58 -#15 := [asserted]: #13 -#60 := [mp #15 #59]: #57 -#62 := [not-or-elim #60]: #41 -#84 := (iff #20 #44) -#82 := (iff #19 #41) -#83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#61 := [not-or-elim #60]: #20 -#86 := [mp #61 #85]: #44 -[unit-resolution #86 #62]: false -2b8f6d15a2659a02e850b9785f0f1bc3c34740a1 40 0 -unsat +#63 := [trans #59 #61]: #62 +#68 := [monotonicity #63 #65]: #67 +#72 := [trans #68 #70]: #71 +#75 := [monotonicity #72]: #74 +#79 := [trans #75 #77]: #78 +#51 := (iff #13 #50) +#48 := (iff #12 #45) +#41 := (implies #9 #38) +#46 := (iff #41 #45) +#47 := [rewrite]: #46 +#42 := (iff #12 #41) +#39 := (iff #11 #38) +#36 := (= #10 #35) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#49 := [trans #43 #47]: #48 +#52 := [monotonicity #49]: #51 +#81 := [trans #52 #79]: #80 +#33 := [asserted]: #13 +[mp #33 #81]: false +unsat +1edbd3da42c4e3944ae42bd9887fadb3437e96a1 26 0 #2 := false decl f3 :: Int #7 := f3 @@ -25474,40 +23681,26 @@ #9 := (- f3 0::Int) #10 := (= #9 f3) #11 := (not #10) -#44 := (iff #11 false) -#1 := true -#39 := (not true) -#42 := (iff #39 false) -#43 := [rewrite]: #42 -#40 := (iff #11 #39) -#37 := (iff #10 true) -#32 := (= f3 f3) -#35 := (iff #32 true) -#36 := [rewrite]: #35 -#33 := (iff #10 #32) -#17 := -1::Int -#18 := (* -1::Int 0::Int) -#19 := (+ f3 #18) -#29 := (= #19 f3) -#24 := (+ f3 0::Int) -#27 := (= #24 f3) -#28 := [rewrite]: #27 -#25 := (= #19 #24) -#22 := (= #18 0::Int) -#23 := [rewrite]: #22 -#26 := [monotonicity #23]: #25 -#30 := [trans #26 #28]: #29 -#20 := (= #9 #19) -#21 := [rewrite]: #20 -#31 := [trans #21 #30]: #10 -#34 := [monotonicity #31]: #33 -#38 := [trans #34 #36]: #37 -#41 := [monotonicity #38]: #40 -#45 := [trans #41 #43]: #44 -#13 := [asserted]: #11 -[mp #13 #45]: false -769c85c7c62c5c6e67155574fc1ee91975c07c09 37 0 -unsat +#45 := (iff #11 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 true) +#33 := (= f3 f3) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#32 := [rewrite]: #10 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#31 := [asserted]: #11 +[mp #31 #46]: false +unsat +b83a075b345830e9b6e6ce14a816684d0ce48153 32 0 #2 := false decl f3 :: Int #8 := f3 @@ -25516,98 +23709,96 @@ #9 := (- 0::Int f3) #11 := (= #9 #10) #12 := (not #11) -#41 := (iff #12 false) -#1 := true -#36 := (not true) -#39 := (iff #36 false) -#40 := [rewrite]: #39 -#37 := (iff #12 #36) -#34 := (iff #11 true) -#18 := -1::Int -#19 := (* -1::Int f3) -#29 := (= #19 #19) -#32 := (iff #29 true) -#33 := [rewrite]: #32 -#30 := (iff #11 #29) -#27 := (= #10 #19) -#28 := [rewrite]: #27 -#25 := (= #9 #19) -#20 := (+ 0::Int #19) -#23 := (= #20 #19) -#24 := [rewrite]: #23 -#21 := (= #9 #20) -#22 := [rewrite]: #21 -#26 := [trans #22 #24]: #25 -#31 := [monotonicity #26 #28]: #30 -#35 := [trans #31 #33]: #34 -#38 := [monotonicity #35]: #37 -#42 := [trans #38 #40]: #41 -#14 := [asserted]: #12 -[mp #14 #42]: false -179a1947e4f03fe1aa70eea2951bab256e0fd919 61 0 -unsat +#51 := (iff #12 false) +#1 := true +#46 := (not true) +#49 := (iff #46 false) +#50 := [rewrite]: #49 +#47 := (iff #12 #46) +#44 := (iff #11 true) +#33 := -1::Int +#34 := (* -1::Int f3) +#39 := (= #34 #34) +#42 := (iff #39 true) +#43 := [rewrite]: #42 +#40 := (iff #11 #39) +#37 := (= #10 #34) +#38 := [rewrite]: #37 +#35 := (= #9 #34) +#36 := [rewrite]: #35 +#41 := [monotonicity #36 #38]: #40 +#45 := [trans #41 #43]: #44 +#48 := [monotonicity #45]: #47 +#52 := [trans #48 #50]: #51 +#32 := [asserted]: #12 +[mp #32 #52]: false +unsat +cd3e641f4c63603b28155ba6239b2f0c22391251 64 0 #2 := false #11 := 0::Int decl f4 :: Int #8 := f4 -#24 := -1::Int -#25 := (* -1::Int f4) decl f3 :: Int #7 := f3 -#26 := (+ f3 #25) -#78 := (>= #26 0::Int) -#32 := (<= 0::Int #26) -#76 := (iff #32 #78) -#84 := [rewrite]: #76 -#33 := (not #32) -#20 := (<= f4 f3) -#46 := (or #20 #33) -#51 := (not #46) #10 := (- f3 f4) #12 := (< #10 0::Int) #9 := (< f3 f4) #13 := (implies #9 #12) #14 := (not #13) -#52 := (iff #14 #51) -#49 := (iff #13 #46) -#21 := (not #20) -#43 := (implies #21 #33) -#47 := (iff #43 #46) -#48 := [rewrite]: #47 +#82 := (iff #14 false) +#35 := -1::Int +#36 := (* -1::Int f4) +#37 := (+ f3 #36) +#40 := (< #37 0::Int) +#46 := (not #9) +#47 := (or #46 #40) +#52 := (not #47) +#80 := (iff #52 false) +#1 := true +#75 := (not true) +#78 := (iff #75 false) +#79 := [rewrite]: #78 +#76 := (iff #52 #75) +#73 := (iff #47 true) +#56 := (>= #37 0::Int) +#55 := (not #56) +#68 := (or #56 #55) +#71 := (iff #68 true) +#72 := [rewrite]: #71 +#69 := (iff #47 #68) +#66 := (iff #40 #55) +#67 := [rewrite]: #66 +#64 := (iff #46 #56) +#59 := (not #55) +#62 := (iff #59 #56) +#63 := [rewrite]: #62 +#60 := (iff #46 #59) +#57 := (iff #9 #55) +#58 := [rewrite]: #57 +#61 := [monotonicity #58]: #60 +#65 := [trans #61 #63]: #64 +#70 := [monotonicity #65 #67]: #69 +#74 := [trans #70 #72]: #73 +#77 := [monotonicity #74]: #76 +#81 := [trans #77 #79]: #80 +#53 := (iff #14 #52) +#50 := (iff #13 #47) +#43 := (implies #9 #40) +#48 := (iff #43 #47) +#49 := [rewrite]: #48 #44 := (iff #13 #43) -#36 := (iff #12 #33) -#40 := (iff #33 #33) -#38 := (iff #32 #32) +#41 := (iff #12 #40) +#38 := (= #10 #37) #39 := [rewrite]: #38 -#41 := [monotonicity #39]: #40 -#29 := (< #26 0::Int) -#34 := (iff #29 #33) -#35 := [rewrite]: #34 -#30 := (iff #12 #29) -#27 := (= #10 #26) -#28 := [rewrite]: #27 -#31 := [monotonicity #28]: #30 -#37 := [trans #31 #35]: #36 -#42 := [trans #37 #41]: #36 -#22 := (iff #9 #21) -#23 := [rewrite]: #22 -#45 := [monotonicity #23 #42]: #44 -#50 := [trans #45 #48]: #49 -#53 := [monotonicity #50]: #52 -#16 := [asserted]: #14 -#54 := [mp #16 #53]: #51 -#56 := [not-or-elim #54]: #32 -#85 := [mp #56 #84]: #78 -#80 := (not #78) -#81 := (iff #21 #80) -#77 := (iff #20 #78) -#79 := [rewrite]: #77 -#82 := [monotonicity #79]: #81 -#55 := [not-or-elim #54]: #21 -#83 := [mp #55 #82]: #80 -[unit-resolution #83 #85]: false -e163b714ba9729323f06150e30f725561ec36e35 58 0 -unsat +#42 := [monotonicity #39]: #41 +#45 := [monotonicity #42]: #44 +#51 := [trans #45 #49]: #50 +#54 := [monotonicity #51]: #53 +#83 := [trans #54 #81]: #82 +#34 := [asserted]: #14 +[mp #34 #83]: false +unsat +61cdc1fc5eb0d0636c10956aeb832369d0478262 44 0 #2 := false decl f3 :: Int #7 := f3 @@ -25618,55 +23809,41 @@ #9 := (- f3 f4) #12 := (= #9 #11) #13 := (not #12) -#62 := (iff #13 false) -#1 := true -#57 := (not true) -#60 := (iff #57 false) -#61 := [rewrite]: #60 -#58 := (iff #13 #57) -#55 := (iff #12 true) -#19 := -1::Int -#20 := (* -1::Int f4) -#42 := (+ #20 f3) -#21 := (+ f3 #20) -#49 := (= #21 #42) -#53 := (iff #49 true) -#54 := [rewrite]: #53 -#50 := (iff #12 #49) -#47 := (= #11 #42) -#24 := (* -1::Int f3) -#25 := (+ f4 #24) -#31 := (* -1::Int #25) -#45 := (= #31 #42) -#36 := (* -1::Int #24) -#37 := (+ #20 #36) -#43 := (= #37 #42) -#40 := (= #36 f3) -#41 := [rewrite]: #40 -#44 := [monotonicity #41]: #43 -#38 := (= #31 #37) +#63 := (iff #13 false) +#1 := true +#58 := (not true) +#61 := (iff #58 false) +#62 := [rewrite]: #61 +#59 := (iff #13 #58) +#56 := (iff #12 true) +#35 := -1::Int +#36 := (* -1::Int f4) +#37 := (+ f3 #36) +#51 := (= #37 #37) +#54 := (iff #51 true) +#55 := [rewrite]: #54 +#52 := (iff #12 #51) +#49 := (= #11 #37) +#40 := (* -1::Int f3) +#41 := (+ #40 f4) +#44 := (- #41) +#47 := (= #44 #37) +#48 := [rewrite]: #47 +#45 := (= #11 #44) +#42 := (= #10 #41) +#43 := [rewrite]: #42 +#46 := [monotonicity #43]: #45 +#50 := [trans #46 #48]: #49 +#38 := (= #9 #37) #39 := [rewrite]: #38 -#46 := [trans #39 #44]: #45 -#34 := (= #11 #31) -#28 := (- #25) -#32 := (= #28 #31) -#33 := [rewrite]: #32 -#29 := (= #11 #28) -#26 := (= #10 #25) -#27 := [rewrite]: #26 -#30 := [monotonicity #27]: #29 -#35 := [trans #30 #33]: #34 -#48 := [trans #35 #46]: #47 -#22 := (= #9 #21) -#23 := [rewrite]: #22 -#51 := [monotonicity #23 #48]: #50 -#56 := [trans #51 #54]: #55 -#59 := [monotonicity #56]: #58 -#63 := [trans #59 #61]: #62 -#15 := [asserted]: #13 -[mp #15 #63]: false -76ebef49c2c39345953ea02ba782064201efe7f8 38 0 -unsat +#53 := [monotonicity #39 #50]: #52 +#57 := [trans #53 #55]: #56 +#60 := [monotonicity #57]: #59 +#64 := [trans #60 #62]: #63 +#34 := [asserted]: #13 +[mp #34 #64]: false +unsat +1f1c398b527ff7ee3d1a5967ff2a131100a56323 42 0 #2 := false decl f3 :: Int #7 := f3 @@ -25677,35 +23854,39 @@ #9 := (- f3 f4) #12 := (= #9 #11) #13 := (not #12) -#42 := (iff #13 false) -#1 := true -#37 := (not true) -#40 := (iff #37 false) +#61 := (iff #13 false) +#1 := true +#56 := (not true) +#59 := (iff #56 false) +#60 := [rewrite]: #59 +#57 := (iff #13 #56) +#54 := (iff #12 true) +#35 := -1::Int +#36 := (* -1::Int f4) +#37 := (+ f3 #36) +#49 := (= #37 #37) +#52 := (iff #49 true) +#53 := [rewrite]: #52 +#50 := (iff #12 #49) +#47 := (= #11 #37) +#42 := (+ #36 f3) +#45 := (= #42 #37) +#46 := [rewrite]: #45 +#43 := (= #11 #42) +#40 := (= #10 #36) #41 := [rewrite]: #40 -#38 := (iff #13 #37) -#35 := (iff #12 true) -#19 := -1::Int -#20 := (* -1::Int f4) -#26 := (+ #20 f3) -#21 := (+ f3 #20) -#29 := (= #21 #26) -#33 := (iff #29 true) -#34 := [rewrite]: #33 -#30 := (iff #12 #29) -#27 := (= #11 #26) -#24 := (= #10 #20) -#25 := [rewrite]: #24 -#28 := [monotonicity #25]: #27 -#22 := (= #9 #21) -#23 := [rewrite]: #22 -#31 := [monotonicity #23 #28]: #30 -#36 := [trans #31 #34]: #35 -#39 := [monotonicity #36]: #38 -#43 := [trans #39 #41]: #42 -#15 := [asserted]: #13 -[mp #15 #43]: false -5d73f38cd523b8ddc4eb2499e422417f533163f7 66 0 -unsat +#44 := [monotonicity #41]: #43 +#48 := [trans #44 #46]: #47 +#38 := (= #9 #37) +#39 := [rewrite]: #38 +#51 := [monotonicity #39 #48]: #50 +#55 := [trans #51 #53]: #54 +#58 := [monotonicity #55]: #57 +#62 := [trans #58 #60]: #61 +#34 := [asserted]: #13 +[mp #34 #62]: false +unsat +d180958823e52c24cdf709d7b779e581a5146a9d 48 0 #2 := false decl f5 :: Int #10 := f5 @@ -25719,60 +23900,42 @@ #11 := (- #9 f5) #14 := (= #11 #13) #15 := (not #14) -#69 := (iff #15 false) -#1 := true -#64 := (not true) -#67 := (iff #64 false) -#68 := [rewrite]: #67 -#65 := (iff #15 #64) -#62 := (iff #14 true) -#21 := -1::Int -#29 := (* -1::Int f5) -#22 := (* -1::Int f4) -#35 := (+ f3 #22 #29) -#56 := (= #35 #35) -#60 := (iff #56 true) -#61 := [rewrite]: #60 -#57 := (iff #14 #56) -#54 := (= #13 #35) -#40 := (* -1::Int #12) -#41 := (+ f3 #40) -#52 := (= #41 #35) -#44 := (+ #22 #29) -#47 := (+ f3 #44) -#50 := (= #47 #35) -#51 := [rewrite]: #50 -#48 := (= #41 #47) -#45 := (= #40 #44) -#46 := [rewrite]: #45 -#49 := [monotonicity #46]: #48 -#53 := [trans #49 #51]: #52 -#42 := (= #13 #41) -#43 := [rewrite]: #42 -#55 := [trans #43 #53]: #54 -#38 := (= #11 #35) -#23 := (+ f3 #22) -#30 := (+ #23 #29) -#36 := (= #30 #35) -#37 := [rewrite]: #36 -#33 := (= #11 #30) -#26 := (- #23 f5) -#31 := (= #26 #30) -#32 := [rewrite]: #31 -#27 := (= #11 #26) -#24 := (= #9 #23) -#25 := [rewrite]: #24 -#28 := [monotonicity #25]: #27 -#34 := [trans #28 #32]: #33 -#39 := [trans #34 #37]: #38 -#58 := [monotonicity #39 #55]: #57 -#63 := [trans #58 #61]: #62 -#66 := [monotonicity #63]: #65 -#70 := [trans #66 #68]: #69 -#17 := [asserted]: #15 -[mp #17 #70]: false -5f00c1479a6cf5f46157c2337e3fcd3ab961af7a 26 0 -unsat +#66 := (iff #15 false) +#1 := true +#61 := (not true) +#64 := (iff #61 false) +#65 := [rewrite]: #64 +#62 := (iff #15 #61) +#59 := (iff #14 true) +#37 := -1::Int +#45 := (* -1::Int f5) +#38 := (* -1::Int f4) +#46 := (+ #38 #45) +#47 := (+ f3 #46) +#54 := (= #47 #47) +#57 := (iff #54 true) +#58 := [rewrite]: #57 +#55 := (iff #14 #54) +#52 := (= #13 #47) +#53 := [rewrite]: #52 +#50 := (= #11 #47) +#39 := (+ f3 #38) +#42 := (- #39 f5) +#48 := (= #42 #47) +#49 := [rewrite]: #48 +#43 := (= #11 #42) +#40 := (= #9 #39) +#41 := [rewrite]: #40 +#44 := [monotonicity #41]: #43 +#51 := [trans #44 #49]: #50 +#56 := [monotonicity #51 #53]: #55 +#60 := [trans #56 #58]: #59 +#63 := [monotonicity #60]: #62 +#67 := [trans #63 #65]: #66 +#36 := [asserted]: #15 +[mp #36 #67]: false +unsat +e52eb52be8591bb795a077857670e69de11af1da 26 0 #2 := false #8 := 0::Int decl f3 :: Int @@ -25780,26 +23943,26 @@ #9 := (* f3 0::Int) #10 := (= #9 0::Int) #11 := (not #10) -#30 := (iff #11 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #11 #25) -#23 := (iff #10 true) -#18 := (= 0::Int 0::Int) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#13 := [asserted]: #11 -[mp #13 #31]: false -99923a7a287bb7b5f864ee54973e794a9b3c80b0 26 0 -unsat +#45 := (iff #11 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 true) +#33 := (= 0::Int 0::Int) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#32 := [rewrite]: #10 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#31 := [asserted]: #11 +[mp #31 #46]: false +unsat +44b181d9f3d713df94663408b08cd9af6cbe23f9 26 0 #2 := false #7 := 0::Int decl f3 :: Int @@ -25807,26 +23970,26 @@ #9 := (* 0::Int f3) #10 := (= #9 0::Int) #11 := (not #10) -#30 := (iff #11 false) -#1 := true -#25 := (not true) -#28 := (iff #25 false) -#29 := [rewrite]: #28 -#26 := (iff #11 #25) -#23 := (iff #10 true) -#18 := (= 0::Int 0::Int) -#21 := (iff #18 true) -#22 := [rewrite]: #21 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#24 := [trans #20 #22]: #23 -#27 := [monotonicity #24]: #26 -#31 := [trans #27 #29]: #30 -#13 := [asserted]: #11 -[mp #13 #31]: false -85a0977cd430199dfbbef0919269ea745bb45aab 26 0 -unsat +#45 := (iff #11 false) +#1 := true +#40 := (not true) +#43 := (iff #40 false) +#44 := [rewrite]: #43 +#41 := (iff #11 #40) +#38 := (iff #10 true) +#33 := (= 0::Int 0::Int) +#36 := (iff #33 true) +#37 := [rewrite]: #36 +#34 := (iff #10 #33) +#32 := [rewrite]: #10 +#35 := [monotonicity #32]: #34 +#39 := [trans #35 #37]: #38 +#42 := [monotonicity #39]: #41 +#46 := [trans #42 #44]: #45 +#31 := [asserted]: #11 +[mp #31 #46]: false +unsat +723479197e5c26fbfd35522ce4cd26d5915d7119 26 0 #2 := false decl f3 :: Int #7 := f3 @@ -25834,26 +23997,26 @@ #9 := (* f3 1::Int) #10 := (= #9 f3) #11 := (not #10) -#31 := (iff #11 false) -#1 := true -#26 := (not true) -#29 := (iff #26 false) -#30 := [rewrite]: #29 -#27 := (iff #11 #26) -#24 := (iff #10 true) -#18 := (= f3 f3) -#22 := (iff #18 true) -#23 := [rewrite]: #22 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#25 := [trans #20 #23]: #24 -#28 := [monotonicity #25]: #27 -#32 := [trans #28 #30]: #31 -#13 := [asserted]: #11 -[mp #13 #32]: false -eabe283eca86a8acdb0440d8b7874ab4e2e55097 26 0 -unsat +#46 := (iff #11 false) +#1 := true +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #11 #41) +#39 := (iff #10 true) +#34 := (= f3 f3) +#37 := (iff #34 true) +#38 := [rewrite]: #37 +#35 := (iff #10 #34) +#33 := [rewrite]: #10 +#36 := [monotonicity #33]: #35 +#40 := [trans #36 #38]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#32 := [asserted]: #11 +[mp #32 #47]: false +unsat +07b026f7999300309ad1aa93f8da68492163aa1d 26 0 #2 := false decl f3 :: Int #8 := f3 @@ -25861,26 +24024,26 @@ #9 := (* 1::Int f3) #10 := (= #9 f3) #11 := (not #10) -#31 := (iff #11 false) -#1 := true -#26 := (not true) -#29 := (iff #26 false) -#30 := [rewrite]: #29 -#27 := (iff #11 #26) -#24 := (iff #10 true) -#18 := (= f3 f3) -#22 := (iff #18 true) -#23 := [rewrite]: #22 -#19 := (iff #10 #18) -#17 := [rewrite]: #10 -#20 := [monotonicity #17]: #19 -#25 := [trans #20 #23]: #24 -#28 := [monotonicity #25]: #27 -#32 := [trans #28 #30]: #31 -#13 := [asserted]: #11 -[mp #13 #32]: false -524caed43f932116157b3dcc870eedde37cec3e7 40 0 -unsat +#46 := (iff #11 false) +#1 := true +#41 := (not true) +#44 := (iff #41 false) +#45 := [rewrite]: #44 +#42 := (iff #11 #41) +#39 := (iff #10 true) +#34 := (= f3 f3) +#37 := (iff #34 true) +#38 := [rewrite]: #37 +#35 := (iff #10 #34) +#33 := [rewrite]: #10 +#36 := [monotonicity #33]: #35 +#40 := [trans #36 #38]: #39 +#43 := [monotonicity #40]: #42 +#47 := [trans #43 #45]: #46 +#32 := [asserted]: #11 +[mp #32 #47]: false +unsat +e5021087f8c15699d6bd7188a85d3d91458b6e0f 40 0 #2 := false decl f3 :: Int #7 := f3 @@ -25890,38 +24053,38 @@ #10 := (* f3 #9) #12 := (= #10 #11) #13 := (not #12) -#45 := (iff #13 false) -#1 := true -#40 := (not true) -#43 := (iff #40 false) -#44 := [rewrite]: #43 -#41 := (iff #13 #40) -#38 := (iff #12 true) -#19 := -1::Int -#25 := (* -1::Int f3) -#32 := (= #25 #25) -#36 := (iff #32 true) +#60 := (iff #13 false) +#1 := true +#55 := (not true) +#58 := (iff #55 false) +#59 := [rewrite]: #58 +#56 := (iff #13 #55) +#53 := (iff #12 true) +#35 := -1::Int +#41 := (* -1::Int f3) +#48 := (= #41 #41) +#51 := (iff #48 true) +#52 := [rewrite]: #51 +#49 := (iff #12 #48) +#46 := (= #11 #41) +#47 := [rewrite]: #46 +#44 := (= #10 #41) +#38 := (* f3 -1::Int) +#42 := (= #38 #41) +#43 := [rewrite]: #42 +#39 := (= #10 #38) +#36 := (= #9 -1::Int) #37 := [rewrite]: #36 -#33 := (iff #12 #32) -#30 := (= #11 #25) -#31 := [rewrite]: #30 -#28 := (= #10 #25) -#22 := (* f3 -1::Int) -#26 := (= #22 #25) -#27 := [rewrite]: #26 -#23 := (= #10 #22) -#20 := (= #9 -1::Int) -#21 := [rewrite]: #20 -#24 := [monotonicity #21]: #23 -#29 := [trans #24 #27]: #28 -#34 := [monotonicity #29 #31]: #33 -#39 := [trans #34 #37]: #38 -#42 := [monotonicity #39]: #41 -#46 := [trans #42 #44]: #45 -#15 := [asserted]: #13 -[mp #15 #46]: false -0a10cdb7548396fe24d3599f572cec679b5a5887 35 0 -unsat +#40 := [monotonicity #37]: #39 +#45 := [trans #40 #43]: #44 +#50 := [monotonicity #45 #47]: #49 +#54 := [trans #50 #52]: #53 +#57 := [monotonicity #54]: #56 +#61 := [trans #57 #59]: #60 +#34 := [asserted]: #13 +[mp #34 #61]: false +unsat +92512c29655e3be3ef6191609f8fa8665ffb186f 35 0 #2 := false decl f3 :: Int #9 := f3 @@ -25931,33 +24094,33 @@ #10 := (* #8 f3) #12 := (= #10 #11) #13 := (not #12) -#40 := (iff #13 false) -#1 := true -#35 := (not true) -#38 := (iff #35 false) -#39 := [rewrite]: #38 -#36 := (iff #13 #35) -#33 := (iff #12 true) -#19 := -1::Int -#22 := (* -1::Int f3) -#27 := (= #22 #22) -#31 := (iff #27 true) -#32 := [rewrite]: #31 -#28 := (iff #12 #27) -#25 := (= #11 #22) -#26 := [rewrite]: #25 -#23 := (= #10 #22) -#20 := (= #8 -1::Int) -#21 := [rewrite]: #20 -#24 := [monotonicity #21]: #23 -#29 := [monotonicity #24 #26]: #28 -#34 := [trans #29 #32]: #33 -#37 := [monotonicity #34]: #36 -#41 := [trans #37 #39]: #40 -#15 := [asserted]: #13 -[mp #15 #41]: false -d71969b90f628712f4f547371d51686666dd58b0 28 0 -unsat +#55 := (iff #13 false) +#1 := true +#50 := (not true) +#53 := (iff #50 false) +#54 := [rewrite]: #53 +#51 := (iff #13 #50) +#48 := (iff #12 true) +#35 := -1::Int +#38 := (* -1::Int f3) +#43 := (= #38 #38) +#46 := (iff #43 true) +#47 := [rewrite]: #46 +#44 := (iff #12 #43) +#41 := (= #11 #38) +#42 := [rewrite]: #41 +#39 := (= #10 #38) +#36 := (= #8 -1::Int) +#37 := [rewrite]: #36 +#40 := [monotonicity #37]: #39 +#45 := [monotonicity #40 #42]: #44 +#49 := [trans #45 #47]: #48 +#52 := [monotonicity #49]: #51 +#56 := [trans #52 #54]: #55 +#34 := [asserted]: #13 +[mp #34 #56]: false +unsat +63a5902a5fc3cd2e10705ba8b00e69639073cd3f 28 0 #2 := false #7 := 3::Int decl f3 :: Int @@ -25966,27 +24129,27 @@ #9 := (* 3::Int f3) #11 := (= #9 #10) #12 := (not #11) -#33 := (iff #12 false) -#1 := true -#28 := (not true) -#31 := (iff #28 false) -#32 := [rewrite]: #31 -#29 := (iff #12 #28) -#26 := (iff #11 true) -#20 := (= #9 #9) -#24 := (iff #20 true) -#25 := [rewrite]: #24 -#21 := (iff #11 #20) -#18 := (= #10 #9) -#19 := [rewrite]: #18 -#22 := [monotonicity #19]: #21 -#27 := [trans #22 #25]: #26 -#30 := [monotonicity #27]: #29 -#34 := [trans #30 #32]: #33 -#14 := [asserted]: #12 -[mp #14 #34]: false -bf2fd8bbd9bf762047f17f623f8a7b706117dda0 254 0 -unsat +#48 := (iff #12 false) +#1 := true +#43 := (not true) +#46 := (iff #43 false) +#47 := [rewrite]: #46 +#44 := (iff #12 #43) +#41 := (iff #11 true) +#36 := (= #9 #9) +#39 := (iff #36 true) +#40 := [rewrite]: #39 +#37 := (iff #11 #36) +#34 := (= #10 #9) +#35 := [rewrite]: #34 +#38 := [monotonicity #35]: #37 +#42 := [trans #38 #40]: #41 +#45 := [monotonicity #42]: #44 +#49 := [trans #45 #47]: #48 +#33 := [asserted]: #12 +[mp #33 #49]: false +unsat +238cf59caa00b771da8649f78ab90d7b2fb747c2 238 0 #2 := false decl f3 :: (-> S2 Int Int) #15 := (:var 0 Int) @@ -25996,99 +24159,75 @@ #7 := f5 #14 := (f4 f5 #13) #16 := (f3 #14 #15) -#682 := (pattern #16) +#726 := (pattern #16) #8 := 0::Int -#78 := -1::Int -#82 := (* -1::Int #15) -#79 := (* -1::Int #13) -#85 := (div #79 #82) -#241 := (* -1::Int #85) -#242 := (+ #16 #241) -#243 := (= #242 0::Int) +#66 := -1::Int +#70 := (* -1::Int #15) +#67 := (* -1::Int #13) +#73 := (div #67 #70) +#224 := (* -1::Int #73) +#225 := (+ #16 #224) +#226 := (= #225 0::Int) #26 := (div #13 #15) -#238 := (* -1::Int #26) -#239 := (+ #16 #238) -#240 := (= #239 0::Int) -#56 := (<= #15 0::Int) -#148 := (>= #13 0::Int) -#201 := (or #148 #56) -#202 := (not #201) -#52 := (<= #13 0::Int) -#197 := (or #52 #56) -#198 := (not #197) -#205 := (or #198 #202) -#244 := (if #205 #240 #243) -#237 := (= #16 0::Int) +#221 := (* -1::Int #26) +#222 := (+ #16 #221) +#223 := (= #222 0::Int) +#92 := (<= #15 0::Int) +#99 := (>= #13 0::Int) +#184 := (or #99 #92) +#185 := (not #184) +#88 := (<= #13 0::Int) +#182 := (or #88 #92) +#183 := (not #182) +#188 := (or #183 #185) +#227 := (if #188 #223 #226) +#220 := (= #16 0::Int) #18 := (= #15 0::Int) #17 := (= #13 0::Int) #19 := (or #17 #18) -#245 := (if #19 #237 #244) -#683 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #682) #245) -#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) -#686 := (iff #248 #683) -#684 := (iff #245 #245) -#685 := [refl]: #684 -#687 := [quant-intro #685]: #686 -#208 := (if #205 #26 #85) -#211 := (if #19 0::Int #208) -#214 := (= #16 #211) -#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) -#249 := (iff #217 #248) -#246 := (iff #214 #245) -#247 := [rewrite]: #246 -#250 := [quant-intro #247]: #249 -#57 := (not #56) -#151 := (not #148) -#154 := (and #151 #57) -#53 := (not #52) -#60 := (and #53 #57) -#157 := (or #60 #154) -#160 := (if #157 #26 #85) -#163 := (if #19 0::Int #160) -#166 := (= #16 #163) -#169 := (forall (vars (?v0 Int) (?v1 Int)) #166) -#218 := (iff #169 #217) -#215 := (iff #166 #214) -#212 := (= #163 #211) -#209 := (= #160 #208) -#206 := (iff #157 #205) -#203 := (iff #154 #202) -#204 := [rewrite]: #203 -#199 := (iff #60 #198) -#200 := [rewrite]: #199 -#207 := [monotonicity #200 #204]: #206 -#210 := [monotonicity #207]: #209 -#213 := [monotonicity #210]: #212 -#216 := [monotonicity #213]: #215 -#219 := [quant-intro #216]: #218 -#191 := (~ #169 #169) -#193 := (~ #166 #166) -#194 := [refl]: #193 -#192 := [nnf-pos #194]: #191 -#63 := (<= 0::Int #13) -#64 := (not #63) -#72 := (and #64 #57) -#75 := (or #60 #72) -#88 := (if #75 #26 #85) -#91 := (if #19 0::Int #88) -#94 := (= #16 #91) -#97 := (forall (vars (?v0 Int) (?v1 Int)) #94) -#170 := (iff #97 #169) -#167 := (iff #94 #166) -#164 := (= #91 #163) -#161 := (= #88 #160) -#158 := (iff #75 #157) -#155 := (iff #72 #154) -#152 := (iff #64 #151) -#149 := (iff #63 #148) -#150 := [rewrite]: #149 -#153 := [monotonicity #150]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#162 := [monotonicity #159]: #161 -#165 := [monotonicity #162]: #164 -#168 := [monotonicity #165]: #167 -#171 := [quant-intro #168]: #170 +#228 := (if #19 #220 #227) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #228) +#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) +#730 := (iff #231 #727) +#728 := (iff #228 #228) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#191 := (if #188 #26 #73) +#194 := (if #19 0::Int #191) +#197 := (= #16 #194) +#200 := (forall (vars (?v0 Int) (?v1 Int)) #197) +#232 := (iff #200 #231) +#229 := (iff #197 #228) +#230 := [rewrite]: #229 +#233 := [quant-intro #230]: #232 +#93 := (not #92) +#100 := (not #99) +#103 := (and #100 #93) +#89 := (not #88) +#96 := (and #89 #93) +#106 := (or #96 #103) +#109 := (if #106 #26 #73) +#112 := (if #19 0::Int #109) +#115 := (= #16 #112) +#118 := (forall (vars (?v0 Int) (?v1 Int)) #115) +#201 := (iff #118 #200) +#198 := (iff #115 #197) +#195 := (= #112 #194) +#192 := (= #109 #191) +#189 := (iff #106 #188) +#186 := (iff #103 #185) +#187 := [rewrite]: #186 +#176 := (iff #96 #183) +#177 := [rewrite]: #176 +#190 := [monotonicity #177 #187]: #189 +#193 := [monotonicity #190]: #192 +#196 := [monotonicity #193]: #195 +#199 := [monotonicity #196]: #198 +#202 := [quant-intro #199]: #201 +#180 := (~ #118 #118) +#178 := (~ #115 #115) +#179 := [refl]: #178 +#181 := [nnf-pos #179]: #180 #28 := (- #15) #27 := (- #13) #29 := (div #27 #28) @@ -26102,146 +24241,154 @@ #31 := (if #19 0::Int #30) #32 := (= #16 #31) #33 := (forall (vars (?v0 Int) (?v1 Int)) #32) -#98 := (iff #33 #97) -#95 := (iff #32 #94) -#92 := (= #31 #91) -#89 := (= #30 #88) -#86 := (= #29 #85) -#83 := (= #28 #82) -#84 := [rewrite]: #83 -#80 := (= #27 #79) -#81 := [rewrite]: #80 -#87 := [monotonicity #81 #84]: #86 -#76 := (iff #25 #75) -#73 := (iff #24 #72) -#58 := (iff #21 #57) -#59 := [rewrite]: #58 -#65 := (iff #23 #64) -#69 := (iff #64 #64) -#67 := (iff #63 #63) -#68 := [rewrite]: #67 -#70 := [monotonicity #68]: #69 -#66 := [rewrite]: #65 -#71 := [trans #66 #70]: #65 -#74 := [monotonicity #71 #59]: #73 -#61 := (iff #22 #60) -#54 := (iff #20 #53) -#55 := [rewrite]: #54 -#62 := [monotonicity #55 #59]: #61 -#77 := [monotonicity #62 #74]: #76 -#90 := [monotonicity #77 #87]: #89 -#93 := [monotonicity #90]: #92 -#96 := [monotonicity #93]: #95 -#99 := [quant-intro #96]: #98 -#47 := [asserted]: #33 -#100 := [mp #47 #99]: #97 -#172 := [mp #100 #171]: #169 -#189 := [mp~ #172 #192]: #169 -#220 := [mp #189 #219]: #217 -#251 := [mp #220 #250]: #248 -#688 := [mp #251 #687]: #683 +#121 := (iff #33 #118) +#76 := (if #25 #26 #73) +#79 := (if #19 0::Int #76) +#82 := (= #16 #79) +#85 := (forall (vars (?v0 Int) (?v1 Int)) #82) +#119 := (iff #85 #118) +#116 := (iff #82 #115) +#113 := (= #79 #112) +#110 := (= #76 #109) +#107 := (iff #25 #106) +#104 := (iff #24 #103) +#94 := (iff #21 #93) +#95 := [rewrite]: #94 +#101 := (iff #23 #100) +#102 := [rewrite]: #101 +#105 := [monotonicity #102 #95]: #104 +#97 := (iff #22 #96) +#90 := (iff #20 #89) +#91 := [rewrite]: #90 +#98 := [monotonicity #91 #95]: #97 +#108 := [monotonicity #98 #105]: #107 +#111 := [monotonicity #108]: #110 +#114 := [monotonicity #111]: #113 +#117 := [monotonicity #114]: #116 +#120 := [quant-intro #117]: #119 +#86 := (iff #33 #85) +#83 := (iff #32 #82) +#80 := (= #31 #79) +#77 := (= #30 #76) +#74 := (= #29 #73) +#71 := (= #28 #70) +#72 := [rewrite]: #71 +#68 := (= #27 #67) +#69 := [rewrite]: #68 +#75 := [monotonicity #69 #72]: #74 +#78 := [monotonicity #75]: #77 +#81 := [monotonicity #78]: #80 +#84 := [monotonicity #81]: #83 +#87 := [quant-intro #84]: #86 +#122 := [trans #87 #120]: #121 +#65 := [asserted]: #33 +#123 := [mp #65 #122]: #118 +#172 := [mp~ #123 #181]: #118 +#203 := [mp #172 #202]: #200 +#234 := [mp #203 #233]: #231 +#732 := [mp #234 #731]: #727 #9 := (f4 f5 0::Int) #10 := (f3 #9 0::Int) #11 := (= #10 0::Int) #12 := (not #11) -#46 := [asserted]: #12 -#641 := (not #683) -#636 := (or #641 #11) -#333 := (* -1::Int 0::Int) -#463 := (div #333 #333) -#670 := (* -1::Int #463) -#344 := (+ #10 #670) -#345 := (= #344 0::Int) -#360 := (div 0::Int 0::Int) -#339 := (* -1::Int #360) -#674 := (+ #10 #339) -#676 := (= #674 0::Int) -#354 := (<= 0::Int 0::Int) -#357 := (>= 0::Int 0::Int) -#358 := (or #357 #354) -#359 := (not #358) -#355 := (or #354 #354) -#346 := (not #355) -#356 := (or #346 #359) -#677 := (if #356 #676 #345) -#268 := (= 0::Int 0::Int) -#353 := (or #268 #268) -#678 := (if #353 #11 #677) -#642 := (or #641 #678) -#484 := (iff #642 #636) -#627 := (iff #636 #636) -#628 := [rewrite]: #627 -#635 := (iff #678 #11) -#1 := true -#648 := (if true #11 #676) -#639 := (iff #648 #11) -#634 := [rewrite]: #639 -#637 := (iff #678 #648) -#647 := (iff #677 #676) -#367 := (if false #676 #676) -#361 := (iff #367 #676) -#643 := [rewrite]: #361 -#645 := (iff #677 #367) -#365 := (iff #345 #676) -#654 := (= #344 #674) -#653 := (= #670 #339) -#375 := (= #463 #360) -#652 := (= #333 0::Int) -#374 := [rewrite]: #652 -#649 := [monotonicity #374 #374]: #375 -#650 := [monotonicity #649]: #653 -#364 := [monotonicity #650]: #654 -#366 := [monotonicity #364]: #365 -#274 := (iff #356 false) -#656 := (or false false) -#380 := (iff #656 false) -#381 := [rewrite]: #380 -#378 := (iff #356 #656) -#669 := (iff #359 false) -#323 := (not true) -#661 := (iff #323 false) -#662 := [rewrite]: #661 -#668 := (iff #359 #323) -#307 := (iff #358 true) -#675 := (or true true) -#331 := (iff #675 true) -#336 := [rewrite]: #331 -#665 := (iff #358 #675) -#673 := (iff #354 true) -#316 := [rewrite]: #673 -#664 := (iff #357 true) -#302 := [rewrite]: #664 -#667 := [monotonicity #302 #316]: #665 -#308 := [trans #667 #336]: #307 -#666 := [monotonicity #308]: #668 -#655 := [trans #666 #662]: #669 -#663 := (iff #346 false) -#659 := (iff #346 #323) -#321 := (iff #355 true) -#657 := (iff #355 #675) -#320 := [monotonicity #316 #316]: #657 -#322 := [trans #320 #336]: #321 -#660 := [monotonicity #322]: #659 -#658 := [trans #660 #662]: #663 -#379 := [monotonicity #658 #655]: #378 -#651 := [trans #379 #381]: #274 -#646 := [monotonicity #651 #366]: #645 -#644 := [trans #646 #643]: #647 -#672 := (iff #353 true) -#681 := (iff #353 #675) -#679 := (iff #268 true) -#680 := [rewrite]: #679 -#671 := [monotonicity #680 #680]: #681 -#332 := [trans #671 #336]: #672 -#638 := [monotonicity #332 #644]: #637 -#640 := [trans #638 #634]: #635 -#485 := [monotonicity #640]: #484 -#629 := [trans #485 #628]: #484 -#483 := [quant-inst #8 #8]: #642 -#630 := [mp #483 #629]: #636 -[unit-resolution #630 #46 #688]: false -d3465e8250b8cbddcfc31648b91d12f4e7d1b403 267 0 -unsat +#64 := [asserted]: #12 +#685 := (not #727) +#680 := (or #685 #11) +#377 := (* -1::Int 0::Int) +#507 := (div #377 #377) +#714 := (* -1::Int #507) +#388 := (+ #10 #714) +#389 := (= #388 0::Int) +#404 := (div 0::Int 0::Int) +#383 := (* -1::Int #404) +#718 := (+ #10 #383) +#720 := (= #718 0::Int) +#398 := (<= 0::Int 0::Int) +#401 := (>= 0::Int 0::Int) +#402 := (or #401 #398) +#403 := (not #402) +#399 := (or #398 #398) +#390 := (not #399) +#400 := (or #390 #403) +#721 := (if #400 #720 #389) +#313 := (= 0::Int 0::Int) +#397 := (or #313 #313) +#722 := (if #397 #11 #721) +#686 := (or #685 #722) +#528 := (iff #686 #680) +#671 := (iff #680 #680) +#672 := [rewrite]: #671 +#679 := (iff #722 #11) +#1 := true +#692 := (if true #11 #720) +#683 := (iff #692 #11) +#678 := [rewrite]: #683 +#681 := (iff #722 #692) +#691 := (iff #721 #720) +#411 := (if false #720 #720) +#405 := (iff #411 #720) +#687 := [rewrite]: #405 +#689 := (iff #721 #411) +#409 := (iff #389 #720) +#698 := (= #388 #718) +#697 := (= #714 #383) +#419 := (= #507 #404) +#696 := (= #377 0::Int) +#418 := [rewrite]: #696 +#693 := [monotonicity #418 #418]: #419 +#694 := [monotonicity #693]: #697 +#408 := [monotonicity #694]: #698 +#410 := [monotonicity #408]: #409 +#319 := (iff #400 false) +#700 := (or false false) +#424 := (iff #700 false) +#425 := [rewrite]: #424 +#422 := (iff #400 #700) +#713 := (iff #403 false) +#367 := (not true) +#705 := (iff #367 false) +#706 := [rewrite]: #705 +#712 := (iff #403 #367) +#351 := (iff #402 true) +#719 := (or true true) +#375 := (iff #719 true) +#380 := [rewrite]: #375 +#709 := (iff #402 #719) +#717 := (iff #398 true) +#360 := [rewrite]: #717 +#708 := (iff #401 true) +#346 := [rewrite]: #708 +#711 := [monotonicity #346 #360]: #709 +#352 := [trans #711 #380]: #351 +#710 := [monotonicity #352]: #712 +#699 := [trans #710 #706]: #713 +#707 := (iff #390 false) +#703 := (iff #390 #367) +#365 := (iff #399 true) +#701 := (iff #399 #719) +#364 := [monotonicity #360 #360]: #701 +#366 := [trans #364 #380]: #365 +#704 := [monotonicity #366]: #703 +#702 := [trans #704 #706]: #707 +#423 := [monotonicity #702 #699]: #422 +#695 := [trans #423 #425]: #319 +#690 := [monotonicity #695 #410]: #689 +#688 := [trans #690 #687]: #691 +#716 := (iff #397 true) +#725 := (iff #397 #719) +#723 := (iff #313 true) +#724 := [rewrite]: #723 +#715 := [monotonicity #724 #724]: #725 +#376 := [trans #715 #380]: #716 +#682 := [monotonicity #376 #688]: #681 +#684 := [trans #682 #678]: #679 +#529 := [monotonicity #684]: #528 +#673 := [trans #529 #672]: #528 +#527 := [quant-inst #8 #8]: #686 +#674 := [mp #527 #673]: #680 +[unit-resolution #674 #64 #732]: false +unsat +6309bf780f2ba9dd55b826441e74066dc2c9aa9e 251 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -26251,99 +24398,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#683 := (pattern #17) +#727 := (pattern #17) #10 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #16) -#80 := (* -1::Int #14) -#86 := (div #80 #83) -#242 := (* -1::Int #86) -#243 := (+ #17 #242) -#244 := (= #243 0::Int) +#67 := -1::Int +#71 := (* -1::Int #16) +#68 := (* -1::Int #14) +#74 := (div #68 #71) +#225 := (* -1::Int #74) +#226 := (+ #17 #225) +#227 := (= #226 0::Int) #27 := (div #14 #16) -#239 := (* -1::Int #27) -#240 := (+ #17 #239) -#241 := (= #240 0::Int) -#57 := (<= #16 0::Int) -#149 := (>= #14 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #14 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#245 := (if #206 #241 #244) -#238 := (= #17 0::Int) +#222 := (* -1::Int #27) +#223 := (+ #17 #222) +#224 := (= #223 0::Int) +#93 := (<= #16 0::Int) +#100 := (>= #14 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #14 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#228 := (if #189 #224 #227) +#221 := (= #17 0::Int) #19 := (= #16 0::Int) #18 := (= #14 0::Int) #20 := (or #18 #19) -#246 := (if #20 #238 #245) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #246) -#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) -#687 := (iff #249 #684) -#685 := (iff #246 #246) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#209 := (if #206 #27 #86) -#212 := (if #20 0::Int #209) -#215 := (= #17 #212) -#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) -#250 := (iff #218 #249) -#247 := (iff #215 #246) -#248 := [rewrite]: #247 -#251 := [quant-intro #248]: #250 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#161 := (if #158 #27 #86) -#164 := (if #20 0::Int #161) -#167 := (= #17 #164) -#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) -#219 := (iff #170 #218) -#216 := (iff #167 #215) -#213 := (= #164 #212) -#210 := (= #161 #209) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#211 := [monotonicity #208]: #210 -#214 := [monotonicity #211]: #213 -#217 := [monotonicity #214]: #216 -#220 := [quant-intro #217]: #219 -#192 := (~ #170 #170) -#194 := (~ #167 #167) -#195 := [refl]: #194 -#193 := [nnf-pos #195]: #192 -#64 := (<= 0::Int #14) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#89 := (if #76 #27 #86) -#92 := (if #20 0::Int #89) -#95 := (= #17 #92) -#98 := (forall (vars (?v0 Int) (?v1 Int)) #95) -#171 := (iff #98 #170) -#168 := (iff #95 #167) -#165 := (= #92 #164) -#162 := (= #89 #161) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [monotonicity #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [quant-intro #169]: #171 +#229 := (if #20 #221 #228) +#728 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #727) #229) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#731 := (iff #232 #728) +#729 := (iff #229 #229) +#730 := [refl]: #729 +#732 := [quant-intro #730]: #731 +#192 := (if #189 #27 #74) +#195 := (if #20 0::Int #192) +#198 := (= #17 #195) +#201 := (forall (vars (?v0 Int) (?v1 Int)) #198) +#233 := (iff #201 #232) +#230 := (iff #198 #229) +#231 := [rewrite]: #230 +#234 := [quant-intro #231]: #233 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#110 := (if #107 #27 #74) +#113 := (if #20 0::Int #110) +#116 := (= #17 #113) +#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) +#202 := (iff #119 #201) +#199 := (iff #116 #198) +#196 := (= #113 #195) +#193 := (= #110 #192) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#194 := [monotonicity #191]: #193 +#197 := [monotonicity #194]: #196 +#200 := [monotonicity #197]: #199 +#203 := [quant-intro #200]: #202 +#181 := (~ #119 #119) +#179 := (~ #116 #116) +#180 := [refl]: #179 +#182 := [nnf-pos #180]: #181 #29 := (- #16) #28 := (- #14) #30 := (div #28 #29) @@ -26357,159 +24480,167 @@ #32 := (if #20 0::Int #31) #33 := (= #17 #32) #34 := (forall (vars (?v0 Int) (?v1 Int)) #33) -#99 := (iff #34 #98) -#96 := (iff #33 #95) -#93 := (= #32 #92) -#90 := (= #31 #89) -#87 := (= #30 #86) -#84 := (= #29 #83) -#85 := [rewrite]: #84 -#81 := (= #28 #80) -#82 := [rewrite]: #81 -#88 := [monotonicity #82 #85]: #87 -#77 := (iff #26 #76) -#74 := (iff #25 #73) -#59 := (iff #22 #58) -#60 := [rewrite]: #59 -#66 := (iff #24 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #23 #61) -#55 := (iff #21 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#91 := [monotonicity #78 #88]: #90 -#94 := [monotonicity #91]: #93 -#97 := [monotonicity #94]: #96 -#100 := [quant-intro #97]: #99 -#48 := [asserted]: #34 -#101 := [mp #48 #100]: #98 -#173 := [mp #101 #172]: #170 -#190 := [mp~ #173 #193]: #170 -#221 := [mp #190 #220]: #218 -#252 := [mp #221 #251]: #249 -#689 := [mp #252 #688]: #684 +#122 := (iff #34 #119) +#77 := (if #26 #27 #74) +#80 := (if #20 0::Int #77) +#83 := (= #17 #80) +#86 := (forall (vars (?v0 Int) (?v1 Int)) #83) +#120 := (iff #86 #119) +#117 := (iff #83 #116) +#114 := (= #80 #113) +#111 := (= #77 #110) +#108 := (iff #26 #107) +#105 := (iff #25 #104) +#95 := (iff #22 #94) +#96 := [rewrite]: #95 +#102 := (iff #24 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #23 #97) +#91 := (iff #21 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#112 := [monotonicity #109]: #111 +#115 := [monotonicity #112]: #114 +#118 := [monotonicity #115]: #117 +#121 := [quant-intro #118]: #120 +#87 := (iff #34 #86) +#84 := (iff #33 #83) +#81 := (= #32 #80) +#78 := (= #31 #77) +#75 := (= #30 #74) +#72 := (= #29 #71) +#73 := [rewrite]: #72 +#69 := (= #28 #68) +#70 := [rewrite]: #69 +#76 := [monotonicity #70 #73]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#88 := [quant-intro #85]: #87 +#123 := [trans #88 #121]: #122 +#66 := [asserted]: #34 +#124 := [mp #66 #123]: #119 +#173 := [mp~ #124 #182]: #119 +#204 := [mp #173 #203]: #201 +#235 := [mp #204 #234]: #232 +#733 := [mp #235 #732]: #728 decl f6 :: Int #8 := f6 #9 := (f4 f5 f6) #11 := (f3 #9 0::Int) #12 := (= #11 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#626 := (not #684) -#632 := (or #626 #12) -#345 := (* -1::Int 0::Int) -#671 := (* -1::Int f6) -#346 := (div #671 #345) -#678 := (* -1::Int #346) -#679 := (+ #11 #678) -#680 := (= #679 0::Int) -#675 := (div f6 0::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 0::Int 0::Int) -#360 := (>= f6 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= f6 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#681 := (if #340 #464 #680) -#354 := (= 0::Int 0::Int) -#269 := (= f6 0::Int) -#355 := (or #269 #354) -#676 := (if #355 #12 #681) -#633 := (or #626 #676) -#634 := (iff #633 #632) -#465 := (iff #632 #632) -#466 := [rewrite]: #465 -#631 := (iff #676 #12) -#367 := (div #671 0::Int) -#647 := (* -1::Int #367) -#648 := (+ #11 #647) -#638 := (= #648 0::Int) -#1 := true -#485 := (if true #12 #638) -#629 := (iff #485 #12) -#630 := [rewrite]: #629 -#486 := (iff #676 #485) -#643 := (iff #681 #638) -#635 := (if false #464 #638) -#642 := (iff #635 #638) -#637 := [rewrite]: #642 -#636 := (iff #681 #635) -#639 := (iff #680 #638) -#645 := (= #679 #648) -#362 := (= #678 #647) -#368 := (= #346 #367) -#365 := (= #345 0::Int) +#65 := [asserted]: #13 +#670 := (not #728) +#676 := (or #670 #12) +#389 := (* -1::Int 0::Int) +#715 := (* -1::Int f6) +#390 := (div #715 #389) +#722 := (* -1::Int #390) +#723 := (+ #11 #722) +#724 := (= #723 0::Int) +#719 := (div f6 0::Int) +#721 := (* -1::Int #719) +#378 := (+ #11 #721) +#508 := (= #378 0::Int) +#391 := (<= 0::Int 0::Int) +#404 := (>= f6 0::Int) +#401 := (or #404 #391) +#405 := (not #401) +#400 := (<= f6 0::Int) +#402 := (or #400 #391) +#403 := (not #402) +#384 := (or #403 #405) +#725 := (if #384 #508 #724) +#398 := (= 0::Int 0::Int) +#314 := (= f6 0::Int) +#399 := (or #314 #398) +#720 := (if #399 #12 #725) +#677 := (or #670 #720) +#678 := (iff #677 #676) +#509 := (iff #676 #676) +#510 := [rewrite]: #509 +#675 := (iff #720 #12) +#411 := (div #715 0::Int) +#691 := (* -1::Int #411) +#692 := (+ #11 #691) +#682 := (= #692 0::Int) +#1 := true +#529 := (if true #12 #682) +#673 := (iff #529 #12) +#674 := [rewrite]: #673 +#530 := (iff #720 #529) +#687 := (iff #725 #682) +#679 := (if false #508 #682) +#686 := (iff #679 #682) +#681 := [rewrite]: #686 +#680 := (iff #725 #679) +#683 := (iff #724 #682) +#689 := (= #723 #692) +#406 := (= #722 #691) +#412 := (= #390 #411) +#409 := (= #389 0::Int) +#410 := [rewrite]: #409 +#690 := [monotonicity #410]: #412 +#688 := [monotonicity #690]: #406 +#693 := [monotonicity #688]: #689 +#684 := [monotonicity #693]: #683 +#695 := (iff #384 false) +#697 := (or false false) +#694 := (iff #697 false) +#698 := [rewrite]: #694 +#419 := (iff #384 #697) +#320 := (iff #405 false) +#703 := (not true) +#710 := (iff #703 false) +#712 := [rewrite]: #710 +#425 := (iff #405 #703) +#423 := (iff #401 true) +#713 := (or #404 true) +#700 := (iff #713 true) +#701 := [rewrite]: #700 +#711 := (iff #401 #713) +#365 := (iff #391 true) #366 := [rewrite]: #365 -#646 := [monotonicity #366]: #368 -#644 := [monotonicity #646]: #362 -#649 := [monotonicity #644]: #645 -#640 := [monotonicity #649]: #639 -#651 := (iff #340 false) -#653 := (or false false) -#650 := (iff #653 false) -#654 := [rewrite]: #650 -#375 := (iff #340 #653) -#275 := (iff #361 false) -#659 := (not true) -#666 := (iff #659 false) -#668 := [rewrite]: #666 -#381 := (iff #361 #659) -#379 := (iff #357 true) -#669 := (or #360 true) -#656 := (iff #669 true) -#657 := [rewrite]: #656 -#667 := (iff #357 #669) -#321 := (iff #347 true) -#322 := [rewrite]: #321 -#670 := [monotonicity #322]: #667 -#380 := [trans #670 #657]: #379 -#382 := [monotonicity #380]: #381 -#652 := [trans #382 #668]: #275 -#308 := (iff #359 false) -#665 := (iff #359 #659) -#663 := (iff #358 true) -#323 := (or #356 true) -#661 := (iff #323 true) -#662 := [rewrite]: #661 -#324 := (iff #358 #323) -#660 := [monotonicity #322]: #324 -#664 := [trans #660 #662]: #663 -#303 := [monotonicity #664]: #665 -#309 := [trans #303 #668]: #308 -#376 := [monotonicity #309 #652]: #375 -#655 := [trans #376 #654]: #651 -#641 := [monotonicity #655 #640]: #636 -#484 := [trans #641 #637]: #643 -#317 := (iff #355 true) -#332 := (or #269 true) -#333 := (iff #332 true) -#674 := [rewrite]: #333 -#337 := (iff #355 #332) -#682 := (iff #354 true) -#672 := [rewrite]: #682 -#673 := [monotonicity #672]: #337 -#658 := [trans #673 #674]: #317 -#628 := [monotonicity #658 #484]: #486 -#625 := [trans #628 #630]: #631 -#463 := [monotonicity #625]: #634 -#619 := [trans #463 #466]: #634 -#627 := [quant-inst #8 #10]: #633 -#620 := [mp #627 #619]: #632 -[unit-resolution #620 #47 #689]: false -4a9ad09bb6074d903a151e76b4a561a7a6bdd95b 288 0 -unsat +#714 := [monotonicity #366]: #711 +#424 := [trans #714 #701]: #423 +#426 := [monotonicity #424]: #425 +#696 := [trans #426 #712]: #320 +#352 := (iff #403 false) +#709 := (iff #403 #703) +#707 := (iff #402 true) +#367 := (or #400 true) +#705 := (iff #367 true) +#706 := [rewrite]: #705 +#368 := (iff #402 #367) +#704 := [monotonicity #366]: #368 +#708 := [trans #704 #706]: #707 +#347 := [monotonicity #708]: #709 +#353 := [trans #347 #712]: #352 +#420 := [monotonicity #353 #696]: #419 +#699 := [trans #420 #698]: #695 +#685 := [monotonicity #699 #684]: #680 +#528 := [trans #685 #681]: #687 +#361 := (iff #399 true) +#376 := (or #314 true) +#377 := (iff #376 true) +#718 := [rewrite]: #377 +#381 := (iff #399 #376) +#726 := (iff #398 true) +#716 := [rewrite]: #726 +#717 := [monotonicity #716]: #381 +#702 := [trans #717 #718]: #361 +#672 := [monotonicity #702 #528]: #530 +#669 := [trans #672 #674]: #675 +#507 := [monotonicity #669]: #678 +#663 := [trans #507 #510]: #678 +#671 := [quant-inst #8 #10]: #677 +#664 := [mp #671 #663]: #676 +[unit-resolution #664 #65 #733]: false +unsat +06fdbb5d35836ddf21804a31fcb1c796b637cebe 272 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -26519,99 +24650,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#682 := (pattern #17) +#726 := (pattern #17) #8 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #16) -#80 := (* -1::Int #14) -#86 := (div #80 #83) -#242 := (* -1::Int #86) -#243 := (+ #17 #242) -#244 := (= #243 0::Int) +#67 := -1::Int +#71 := (* -1::Int #16) +#68 := (* -1::Int #14) +#74 := (div #68 #71) +#225 := (* -1::Int #74) +#226 := (+ #17 #225) +#227 := (= #226 0::Int) #27 := (div #14 #16) -#239 := (* -1::Int #27) -#240 := (+ #17 #239) -#241 := (= #240 0::Int) -#57 := (<= #16 0::Int) -#149 := (>= #14 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #14 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#245 := (if #206 #241 #244) -#238 := (= #17 0::Int) +#222 := (* -1::Int #27) +#223 := (+ #17 #222) +#224 := (= #223 0::Int) +#93 := (<= #16 0::Int) +#100 := (>= #14 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #14 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#228 := (if #189 #224 #227) +#221 := (= #17 0::Int) #19 := (= #16 0::Int) #18 := (= #14 0::Int) #20 := (or #18 #19) -#246 := (if #20 #238 #245) -#683 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #682) #246) -#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) -#686 := (iff #249 #683) -#684 := (iff #246 #246) -#685 := [refl]: #684 -#687 := [quant-intro #685]: #686 -#209 := (if #206 #27 #86) -#212 := (if #20 0::Int #209) -#215 := (= #17 #212) -#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) -#250 := (iff #218 #249) -#247 := (iff #215 #246) -#248 := [rewrite]: #247 -#251 := [quant-intro #248]: #250 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#161 := (if #158 #27 #86) -#164 := (if #20 0::Int #161) -#167 := (= #17 #164) -#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) -#219 := (iff #170 #218) -#216 := (iff #167 #215) -#213 := (= #164 #212) -#210 := (= #161 #209) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#211 := [monotonicity #208]: #210 -#214 := [monotonicity #211]: #213 -#217 := [monotonicity #214]: #216 -#220 := [quant-intro #217]: #219 -#192 := (~ #170 #170) -#194 := (~ #167 #167) -#195 := [refl]: #194 -#193 := [nnf-pos #195]: #192 -#64 := (<= 0::Int #14) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#89 := (if #76 #27 #86) -#92 := (if #20 0::Int #89) -#95 := (= #17 #92) -#98 := (forall (vars (?v0 Int) (?v1 Int)) #95) -#171 := (iff #98 #170) -#168 := (iff #95 #167) -#165 := (= #92 #164) -#162 := (= #89 #161) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [monotonicity #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [quant-intro #169]: #171 +#229 := (if #20 #221 #228) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #229) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#730 := (iff #232 #727) +#728 := (iff #229 #229) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#192 := (if #189 #27 #74) +#195 := (if #20 0::Int #192) +#198 := (= #17 #195) +#201 := (forall (vars (?v0 Int) (?v1 Int)) #198) +#233 := (iff #201 #232) +#230 := (iff #198 #229) +#231 := [rewrite]: #230 +#234 := [quant-intro #231]: #233 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#110 := (if #107 #27 #74) +#113 := (if #20 0::Int #110) +#116 := (= #17 #113) +#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) +#202 := (iff #119 #201) +#199 := (iff #116 #198) +#196 := (= #113 #195) +#193 := (= #110 #192) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#194 := [monotonicity #191]: #193 +#197 := [monotonicity #194]: #196 +#200 := [monotonicity #197]: #199 +#203 := [quant-intro #200]: #202 +#181 := (~ #119 #119) +#179 := (~ #116 #116) +#180 := [refl]: #179 +#182 := [nnf-pos #180]: #181 #29 := (- #16) #28 := (- #14) #30 := (div #28 #29) @@ -26625,180 +24732,188 @@ #32 := (if #20 0::Int #31) #33 := (= #17 #32) #34 := (forall (vars (?v0 Int) (?v1 Int)) #33) -#99 := (iff #34 #98) -#96 := (iff #33 #95) -#93 := (= #32 #92) -#90 := (= #31 #89) -#87 := (= #30 #86) -#84 := (= #29 #83) -#85 := [rewrite]: #84 -#81 := (= #28 #80) -#82 := [rewrite]: #81 -#88 := [monotonicity #82 #85]: #87 -#77 := (iff #26 #76) -#74 := (iff #25 #73) -#59 := (iff #22 #58) -#60 := [rewrite]: #59 -#66 := (iff #24 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #23 #61) -#55 := (iff #21 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#91 := [monotonicity #78 #88]: #90 -#94 := [monotonicity #91]: #93 -#97 := [monotonicity #94]: #96 -#100 := [quant-intro #97]: #99 -#48 := [asserted]: #34 -#101 := [mp #48 #100]: #98 -#173 := [mp #101 #172]: #170 -#190 := [mp~ #173 #193]: #170 -#221 := [mp #190 #220]: #218 -#252 := [mp #221 #251]: #249 -#688 := [mp #252 #687]: #683 +#122 := (iff #34 #119) +#77 := (if #26 #27 #74) +#80 := (if #20 0::Int #77) +#83 := (= #17 #80) +#86 := (forall (vars (?v0 Int) (?v1 Int)) #83) +#120 := (iff #86 #119) +#117 := (iff #83 #116) +#114 := (= #80 #113) +#111 := (= #77 #110) +#108 := (iff #26 #107) +#105 := (iff #25 #104) +#95 := (iff #22 #94) +#96 := [rewrite]: #95 +#102 := (iff #24 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #23 #97) +#91 := (iff #21 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#112 := [monotonicity #109]: #111 +#115 := [monotonicity #112]: #114 +#118 := [monotonicity #115]: #117 +#121 := [quant-intro #118]: #120 +#87 := (iff #34 #86) +#84 := (iff #33 #83) +#81 := (= #32 #80) +#78 := (= #31 #77) +#75 := (= #30 #74) +#72 := (= #29 #71) +#73 := [rewrite]: #72 +#69 := (= #28 #68) +#70 := [rewrite]: #69 +#76 := [monotonicity #70 #73]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#88 := [quant-intro #85]: #87 +#123 := [trans #88 #121]: #122 +#66 := [asserted]: #34 +#124 := [mp #66 #123]: #119 +#173 := [mp~ #124 #182]: #119 +#204 := [mp #173 #203]: #201 +#235 := [mp #204 #234]: #232 +#732 := [mp #235 #731]: #727 #10 := 1::Int #9 := (f4 f5 0::Int) #11 := (f3 #9 1::Int) #12 := (= #11 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#615 := (not #683) -#500 := (or #615 #12) -#344 := (* -1::Int 1::Int) -#670 := (* -1::Int 0::Int) -#345 := (div #670 #344) -#677 := (* -1::Int #345) -#678 := (+ #11 #677) -#679 := (= #678 0::Int) -#674 := (div 0::Int 1::Int) -#676 := (* -1::Int #674) -#333 := (+ #11 #676) -#463 := (= #333 0::Int) -#346 := (<= 1::Int 0::Int) -#359 := (>= 0::Int 0::Int) -#356 := (or #359 #346) -#360 := (not #356) -#355 := (<= 0::Int 0::Int) -#357 := (or #355 #346) -#358 := (not #357) -#339 := (or #358 #360) -#680 := (if #339 #463 #679) -#353 := (= 1::Int 0::Int) -#269 := (= 0::Int 0::Int) -#354 := (or #269 #353) -#675 := (if #354 #12 #680) -#515 := (or #615 #675) -#518 := (iff #515 #500) -#519 := (iff #500 #500) -#520 := [rewrite]: #519 -#611 := (iff #675 #12) -#1 := true -#506 := (if true #12 #12) -#614 := (iff #506 #12) -#516 := [rewrite]: #614 -#507 := (iff #675 #506) -#623 := (iff #680 #12) -#618 := (if false #12 #12) -#622 := (iff #618 #12) -#620 := [rewrite]: #622 -#619 := (iff #680 #618) -#464 := (iff #679 #12) -#633 := (= #678 #11) -#647 := (+ #11 0::Int) -#637 := (= #647 #11) -#638 := [rewrite]: #637 -#632 := (= #678 #647) -#625 := (= #677 0::Int) -#645 := (= #670 0::Int) -#646 := [rewrite]: #645 -#630 := (= #677 #670) -#628 := (= #345 0::Int) -#642 := (div 0::Int -1::Int) -#485 := (= #642 0::Int) -#627 := [rewrite]: #485 -#483 := (= #345 #642) -#641 := (= #344 -1::Int) -#636 := [rewrite]: #641 -#484 := [monotonicity #646 #636]: #483 -#629 := [trans #484 #627]: #628 -#624 := [monotonicity #629]: #630 -#631 := [trans #624 #646]: #625 -#626 := [monotonicity #631]: #632 -#462 := [trans #626 #638]: #633 -#465 := [monotonicity #462]: #464 -#635 := (iff #463 #12) -#639 := (= #333 #11) -#644 := (= #333 #647) -#361 := (= #676 0::Int) -#366 := (= #676 #670) -#364 := (= #674 0::Int) -#365 := [rewrite]: #364 -#367 := [monotonicity #365]: #366 -#643 := [trans #367 #646]: #361 -#648 := [monotonicity #643]: #644 -#634 := [trans #648 #638]: #639 -#640 := [monotonicity #634]: #635 -#650 := (iff #339 false) -#652 := (or false false) -#649 := (iff #652 false) -#653 := [rewrite]: #649 -#374 := (iff #339 #652) -#275 := (iff #360 false) -#664 := (not true) -#667 := (iff #664 false) -#307 := [rewrite]: #667 -#380 := (iff #360 #664) -#378 := (iff #356 true) -#672 := (or true false) -#316 := (iff #672 true) -#657 := [rewrite]: #316 -#655 := (iff #356 #672) -#659 := (iff #346 false) -#660 := [rewrite]: #659 -#666 := (iff #359 true) -#669 := [rewrite]: #666 -#656 := [monotonicity #669 #660]: #655 -#379 := [trans #656 #657]: #378 -#381 := [monotonicity #379]: #380 -#651 := [trans #381 #307]: #275 -#308 := (iff #358 false) -#302 := (iff #358 #664) -#663 := (iff #357 true) -#661 := (iff #357 #672) -#322 := (iff #355 true) -#323 := [rewrite]: #322 -#662 := [monotonicity #323 #660]: #661 -#658 := [trans #662 #657]: #663 -#665 := [monotonicity #658]: #302 -#668 := [trans #665 #307]: #308 -#375 := [monotonicity #668 #651]: #374 -#654 := [trans #375 #653]: #650 -#621 := [monotonicity #654 #640 #465]: #619 -#505 := [trans #621 #620]: #623 -#320 := (iff #354 true) -#332 := (iff #354 #672) -#331 := (iff #353 false) -#336 := [rewrite]: #331 -#681 := (iff #269 true) -#671 := [rewrite]: #681 -#673 := [monotonicity #671 #336]: #332 -#321 := [trans #673 #657]: #320 -#466 := [monotonicity #321 #505]: #507 -#612 := [trans #466 #516]: #611 -#511 := [monotonicity #612]: #518 -#521 := [trans #511 #520]: #518 -#517 := [quant-inst #8 #10]: #515 -#522 := [mp #517 #521]: #500 -[unit-resolution #522 #47 #688]: false -08b9dc0e318003c903e382519352a2ba5a18727d 291 0 -unsat +#65 := [asserted]: #13 +#659 := (not #727) +#544 := (or #659 #12) +#388 := (* -1::Int 1::Int) +#714 := (* -1::Int 0::Int) +#389 := (div #714 #388) +#721 := (* -1::Int #389) +#722 := (+ #11 #721) +#723 := (= #722 0::Int) +#718 := (div 0::Int 1::Int) +#720 := (* -1::Int #718) +#377 := (+ #11 #720) +#507 := (= #377 0::Int) +#390 := (<= 1::Int 0::Int) +#403 := (>= 0::Int 0::Int) +#400 := (or #403 #390) +#404 := (not #400) +#399 := (<= 0::Int 0::Int) +#401 := (or #399 #390) +#402 := (not #401) +#383 := (or #402 #404) +#724 := (if #383 #507 #723) +#397 := (= 1::Int 0::Int) +#313 := (= 0::Int 0::Int) +#398 := (or #313 #397) +#719 := (if #398 #12 #724) +#559 := (or #659 #719) +#562 := (iff #559 #544) +#563 := (iff #544 #544) +#564 := [rewrite]: #563 +#655 := (iff #719 #12) +#1 := true +#550 := (if true #12 #12) +#658 := (iff #550 #12) +#560 := [rewrite]: #658 +#551 := (iff #719 #550) +#667 := (iff #724 #12) +#662 := (if false #12 #12) +#666 := (iff #662 #12) +#664 := [rewrite]: #666 +#663 := (iff #724 #662) +#508 := (iff #723 #12) +#677 := (= #722 #11) +#691 := (+ #11 0::Int) +#681 := (= #691 #11) +#682 := [rewrite]: #681 +#676 := (= #722 #691) +#669 := (= #721 0::Int) +#689 := (= #714 0::Int) +#690 := [rewrite]: #689 +#674 := (= #721 #714) +#672 := (= #389 0::Int) +#686 := (div 0::Int -1::Int) +#529 := (= #686 0::Int) +#671 := [rewrite]: #529 +#527 := (= #389 #686) +#685 := (= #388 -1::Int) +#680 := [rewrite]: #685 +#528 := [monotonicity #690 #680]: #527 +#673 := [trans #528 #671]: #672 +#668 := [monotonicity #673]: #674 +#675 := [trans #668 #690]: #669 +#670 := [monotonicity #675]: #676 +#506 := [trans #670 #682]: #677 +#509 := [monotonicity #506]: #508 +#679 := (iff #507 #12) +#683 := (= #377 #11) +#688 := (= #377 #691) +#405 := (= #720 0::Int) +#410 := (= #720 #714) +#408 := (= #718 0::Int) +#409 := [rewrite]: #408 +#411 := [monotonicity #409]: #410 +#687 := [trans #411 #690]: #405 +#692 := [monotonicity #687]: #688 +#678 := [trans #692 #682]: #683 +#684 := [monotonicity #678]: #679 +#694 := (iff #383 false) +#696 := (or false false) +#693 := (iff #696 false) +#697 := [rewrite]: #693 +#418 := (iff #383 #696) +#319 := (iff #404 false) +#708 := (not true) +#711 := (iff #708 false) +#351 := [rewrite]: #711 +#424 := (iff #404 #708) +#422 := (iff #400 true) +#716 := (or true false) +#360 := (iff #716 true) +#701 := [rewrite]: #360 +#699 := (iff #400 #716) +#703 := (iff #390 false) +#704 := [rewrite]: #703 +#710 := (iff #403 true) +#713 := [rewrite]: #710 +#700 := [monotonicity #713 #704]: #699 +#423 := [trans #700 #701]: #422 +#425 := [monotonicity #423]: #424 +#695 := [trans #425 #351]: #319 +#352 := (iff #402 false) +#346 := (iff #402 #708) +#707 := (iff #401 true) +#705 := (iff #401 #716) +#366 := (iff #399 true) +#367 := [rewrite]: #366 +#706 := [monotonicity #367 #704]: #705 +#702 := [trans #706 #701]: #707 +#709 := [monotonicity #702]: #346 +#712 := [trans #709 #351]: #352 +#419 := [monotonicity #712 #695]: #418 +#698 := [trans #419 #697]: #694 +#665 := [monotonicity #698 #684 #509]: #663 +#549 := [trans #665 #664]: #667 +#364 := (iff #398 true) +#376 := (iff #398 #716) +#375 := (iff #397 false) +#380 := [rewrite]: #375 +#725 := (iff #313 true) +#715 := [rewrite]: #725 +#717 := [monotonicity #715 #380]: #376 +#365 := [trans #717 #701]: #364 +#510 := [monotonicity #365 #549]: #551 +#656 := [trans #510 #560]: #655 +#555 := [monotonicity #656]: #562 +#565 := [trans #555 #564]: #562 +#561 := [quant-inst #8 #10]: #559 +#566 := [mp #561 #565]: #544 +[unit-resolution #566 #65 #732]: false +unsat +fe9044a7983d603398b14459325449d5e84b7012 275 0 #2 := false decl f3 :: (-> S2 Int Int) #15 := (:var 0 Int) @@ -26808,99 +24923,75 @@ #7 := f5 #14 := (f4 f5 #13) #16 := (f3 #14 #15) -#682 := (pattern #16) +#726 := (pattern #16) #17 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #15) -#80 := (* -1::Int #13) -#86 := (div #80 #83) -#242 := (* -1::Int #86) -#243 := (+ #16 #242) -#244 := (= #243 0::Int) +#67 := -1::Int +#71 := (* -1::Int #15) +#68 := (* -1::Int #13) +#74 := (div #68 #71) +#225 := (* -1::Int #74) +#226 := (+ #16 #225) +#227 := (= #226 0::Int) #27 := (div #13 #15) -#239 := (* -1::Int #27) -#240 := (+ #16 #239) -#241 := (= #240 0::Int) -#57 := (<= #15 0::Int) -#149 := (>= #13 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #13 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#245 := (if #206 #241 #244) -#238 := (= #16 0::Int) +#222 := (* -1::Int #27) +#223 := (+ #16 #222) +#224 := (= #223 0::Int) +#93 := (<= #15 0::Int) +#100 := (>= #13 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #13 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#228 := (if #189 #224 #227) +#221 := (= #16 0::Int) #19 := (= #15 0::Int) #18 := (= #13 0::Int) #20 := (or #18 #19) -#246 := (if #20 #238 #245) -#683 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #682) #246) -#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) -#686 := (iff #249 #683) -#684 := (iff #246 #246) -#685 := [refl]: #684 -#687 := [quant-intro #685]: #686 -#209 := (if #206 #27 #86) -#212 := (if #20 0::Int #209) -#215 := (= #16 #212) -#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) -#250 := (iff #218 #249) -#247 := (iff #215 #246) -#248 := [rewrite]: #247 -#251 := [quant-intro #248]: #250 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#161 := (if #158 #27 #86) -#164 := (if #20 0::Int #161) -#167 := (= #16 #164) -#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) -#219 := (iff #170 #218) -#216 := (iff #167 #215) -#213 := (= #164 #212) -#210 := (= #161 #209) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#211 := [monotonicity #208]: #210 -#214 := [monotonicity #211]: #213 -#217 := [monotonicity #214]: #216 -#220 := [quant-intro #217]: #219 -#192 := (~ #170 #170) -#194 := (~ #167 #167) -#195 := [refl]: #194 -#193 := [nnf-pos #195]: #192 -#64 := (<= 0::Int #13) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#89 := (if #76 #27 #86) -#92 := (if #20 0::Int #89) -#95 := (= #16 #92) -#98 := (forall (vars (?v0 Int) (?v1 Int)) #95) -#171 := (iff #98 #170) -#168 := (iff #95 #167) -#165 := (= #92 #164) -#162 := (= #89 #161) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [monotonicity #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [quant-intro #169]: #171 +#229 := (if #20 #221 #228) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #229) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#730 := (iff #232 #727) +#728 := (iff #229 #229) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#192 := (if #189 #27 #74) +#195 := (if #20 0::Int #192) +#198 := (= #16 #195) +#201 := (forall (vars (?v0 Int) (?v1 Int)) #198) +#233 := (iff #201 #232) +#230 := (iff #198 #229) +#231 := [rewrite]: #230 +#234 := [quant-intro #231]: #233 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#110 := (if #107 #27 #74) +#113 := (if #20 0::Int #110) +#116 := (= #16 #113) +#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) +#202 := (iff #119 #201) +#199 := (iff #116 #198) +#196 := (= #113 #195) +#193 := (= #110 #192) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#194 := [monotonicity #191]: #193 +#197 := [monotonicity #194]: #196 +#200 := [monotonicity #197]: #199 +#203 := [quant-intro #200]: #202 +#181 := (~ #119 #119) +#179 := (~ #116 #116) +#180 := [refl]: #179 +#182 := [nnf-pos #180]: #181 #29 := (- #15) #28 := (- #13) #30 := (div #28 #29) @@ -26914,183 +25005,191 @@ #32 := (if #20 0::Int #31) #33 := (= #16 #32) #34 := (forall (vars (?v0 Int) (?v1 Int)) #33) -#99 := (iff #34 #98) -#96 := (iff #33 #95) -#93 := (= #32 #92) -#90 := (= #31 #89) -#87 := (= #30 #86) -#84 := (= #29 #83) -#85 := [rewrite]: #84 -#81 := (= #28 #80) -#82 := [rewrite]: #81 -#88 := [monotonicity #82 #85]: #87 -#77 := (iff #26 #76) -#74 := (iff #25 #73) -#59 := (iff #22 #58) -#60 := [rewrite]: #59 -#66 := (iff #24 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #23 #61) -#55 := (iff #21 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#91 := [monotonicity #78 #88]: #90 -#94 := [monotonicity #91]: #93 -#97 := [monotonicity #94]: #96 -#100 := [quant-intro #97]: #99 -#48 := [asserted]: #34 -#101 := [mp #48 #100]: #98 -#173 := [mp #101 #172]: #170 -#190 := [mp~ #173 #193]: #170 -#221 := [mp #190 #220]: #218 -#252 := [mp #221 #251]: #249 -#688 := [mp #252 #687]: #683 +#122 := (iff #34 #119) +#77 := (if #26 #27 #74) +#80 := (if #20 0::Int #77) +#83 := (= #16 #80) +#86 := (forall (vars (?v0 Int) (?v1 Int)) #83) +#120 := (iff #86 #119) +#117 := (iff #83 #116) +#114 := (= #80 #113) +#111 := (= #77 #110) +#108 := (iff #26 #107) +#105 := (iff #25 #104) +#95 := (iff #22 #94) +#96 := [rewrite]: #95 +#102 := (iff #24 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #23 #97) +#91 := (iff #21 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#112 := [monotonicity #109]: #111 +#115 := [monotonicity #112]: #114 +#118 := [monotonicity #115]: #117 +#121 := [quant-intro #118]: #120 +#87 := (iff #34 #86) +#84 := (iff #33 #83) +#81 := (= #32 #80) +#78 := (= #31 #77) +#75 := (= #30 #74) +#72 := (= #29 #71) +#73 := [rewrite]: #72 +#69 := (= #28 #68) +#70 := [rewrite]: #69 +#76 := [monotonicity #70 #73]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#88 := [quant-intro #85]: #87 +#123 := [trans #88 #121]: #122 +#66 := [asserted]: #34 +#124 := [mp #66 #123]: #119 +#173 := [mp~ #124 #182]: #119 +#204 := [mp #173 #203]: #201 +#235 := [mp #204 #234]: #232 +#732 := [mp #235 #731]: #727 #8 := 1::Int #9 := (f4 f5 1::Int) #10 := (f3 #9 1::Int) #11 := (= #10 1::Int) #12 := (not #11) -#47 := [asserted]: #12 -#517 := (not #683) -#518 := (or #517 #11) -#463 := (* -1::Int 1::Int) -#670 := (div #463 #463) -#344 := (* -1::Int #670) -#345 := (+ #10 #344) -#677 := (= #345 0::Int) -#339 := (div 1::Int 1::Int) -#674 := (* -1::Int #339) -#676 := (+ #10 #674) -#333 := (= #676 0::Int) -#355 := (<= 1::Int 0::Int) -#358 := (>= 1::Int 0::Int) -#359 := (or #358 #355) -#356 := (not #359) -#346 := (or #355 #355) -#357 := (not #346) -#360 := (or #357 #356) -#678 := (if #360 #333 #677) -#354 := (= #10 0::Int) -#269 := (= 1::Int 0::Int) -#353 := (or #269 #269) -#679 := (if #353 #354 #678) -#511 := (or #517 #679) -#520 := (iff #511 #518) -#522 := (iff #518 #518) -#523 := [rewrite]: #522 -#500 := (iff #679 #11) -#614 := (if false #354 #11) -#612 := (iff #614 #11) -#615 := [rewrite]: #612 -#516 := (iff #679 #614) -#507 := (iff #678 #11) -#1 := true -#622 := (if true #11 #11) -#505 := (iff #622 #11) -#506 := [rewrite]: #505 -#620 := (iff #678 #622) -#619 := (iff #677 #11) -#647 := (+ -1::Int #10) -#639 := (= #647 0::Int) -#640 := (iff #639 #11) -#641 := [rewrite]: #640 -#465 := (iff #677 #639) -#462 := (= #345 #647) -#646 := (+ #10 -1::Int) -#644 := (= #646 #647) -#648 := [rewrite]: #644 -#626 := (= #345 #646) -#631 := (= #344 -1::Int) -#365 := (= #463 -1::Int) -#366 := [rewrite]: #365 -#624 := (= #344 #463) -#629 := (= #670 1::Int) -#483 := (div -1::Int -1::Int) -#627 := (= #483 1::Int) -#628 := [rewrite]: #627 -#484 := (= #670 #483) -#485 := [monotonicity #366 #366]: #484 -#630 := [trans #485 #628]: #629 -#625 := [monotonicity #630]: #624 -#632 := [trans #625 #366]: #631 -#633 := [monotonicity #632]: #626 -#464 := [trans #633 #648]: #462 -#618 := [monotonicity #464]: #465 -#621 := [trans #618 #641]: #619 -#636 := (iff #333 #11) -#634 := (iff #333 #639) -#637 := (= #676 #647) -#361 := (= #676 #646) -#367 := (= #674 -1::Int) -#654 := (= #674 #463) -#653 := (= #339 1::Int) -#650 := [rewrite]: #653 -#364 := [monotonicity #650]: #654 -#645 := [trans #364 #366]: #367 -#643 := [monotonicity #645]: #361 -#638 := [trans #643 #648]: #637 -#635 := [monotonicity #638]: #634 -#642 := [trans #635 #641]: #636 -#375 := (iff #360 true) -#667 := (or true false) -#668 := (iff #667 true) -#666 := [rewrite]: #668 -#652 := (iff #360 #667) -#275 := (iff #356 false) -#656 := (not true) -#380 := (iff #656 false) -#381 := [rewrite]: #380 -#378 := (iff #356 #656) -#669 := (iff #359 true) -#307 := (iff #359 #667) -#316 := (iff #355 false) -#657 := [rewrite]: #316 -#302 := (iff #358 true) -#665 := [rewrite]: #302 -#308 := [monotonicity #665 #657]: #307 -#655 := [trans #308 #666]: #669 -#379 := [monotonicity #655]: #378 -#651 := [trans #379 #381]: #275 -#658 := (iff #357 true) -#659 := (not false) -#662 := (iff #659 true) -#663 := [rewrite]: #662 -#660 := (iff #357 #659) -#322 := (iff #346 false) -#681 := (or false false) -#336 := (iff #681 false) -#672 := [rewrite]: #336 -#320 := (iff #346 #681) -#321 := [monotonicity #657 #657]: #320 -#323 := [trans #321 #672]: #322 -#661 := [monotonicity #323]: #660 -#664 := [trans #661 #663]: #658 -#374 := [monotonicity #664 #651]: #652 -#649 := [trans #374 #666]: #375 -#623 := [monotonicity #649 #642 #621]: #620 -#466 := [trans #623 #506]: #507 -#332 := (iff #353 false) -#671 := (iff #353 #681) -#680 := (iff #269 false) -#675 := [rewrite]: #680 -#331 := [monotonicity #675 #675]: #671 -#673 := [trans #331 #672]: #332 -#611 := [monotonicity #673 #466]: #516 -#515 := [trans #611 #615]: #500 -#521 := [monotonicity #515]: #520 -#616 := [trans #521 #523]: #520 -#519 := [quant-inst #8 #8]: #511 -#613 := [mp #519 #616]: #518 -[unit-resolution #613 #47 #688]: false -ad4c91889628d5e832117b163debdedc3d43ede3 302 0 -unsat +#65 := [asserted]: #12 +#561 := (not #727) +#562 := (or #561 #11) +#507 := (* -1::Int 1::Int) +#714 := (div #507 #507) +#388 := (* -1::Int #714) +#389 := (+ #10 #388) +#721 := (= #389 0::Int) +#383 := (div 1::Int 1::Int) +#718 := (* -1::Int #383) +#720 := (+ #10 #718) +#377 := (= #720 0::Int) +#399 := (<= 1::Int 0::Int) +#402 := (>= 1::Int 0::Int) +#403 := (or #402 #399) +#400 := (not #403) +#390 := (or #399 #399) +#401 := (not #390) +#404 := (or #401 #400) +#722 := (if #404 #377 #721) +#398 := (= #10 0::Int) +#313 := (= 1::Int 0::Int) +#397 := (or #313 #313) +#723 := (if #397 #398 #722) +#555 := (or #561 #723) +#564 := (iff #555 #562) +#566 := (iff #562 #562) +#567 := [rewrite]: #566 +#544 := (iff #723 #11) +#658 := (if false #398 #11) +#656 := (iff #658 #11) +#659 := [rewrite]: #656 +#560 := (iff #723 #658) +#551 := (iff #722 #11) +#1 := true +#666 := (if true #11 #11) +#549 := (iff #666 #11) +#550 := [rewrite]: #549 +#664 := (iff #722 #666) +#663 := (iff #721 #11) +#691 := (+ -1::Int #10) +#683 := (= #691 0::Int) +#684 := (iff #683 #11) +#685 := [rewrite]: #684 +#509 := (iff #721 #683) +#506 := (= #389 #691) +#690 := (+ #10 -1::Int) +#688 := (= #690 #691) +#692 := [rewrite]: #688 +#670 := (= #389 #690) +#675 := (= #388 -1::Int) +#409 := (= #507 -1::Int) +#410 := [rewrite]: #409 +#668 := (= #388 #507) +#673 := (= #714 1::Int) +#527 := (div -1::Int -1::Int) +#671 := (= #527 1::Int) +#672 := [rewrite]: #671 +#528 := (= #714 #527) +#529 := [monotonicity #410 #410]: #528 +#674 := [trans #529 #672]: #673 +#669 := [monotonicity #674]: #668 +#676 := [trans #669 #410]: #675 +#677 := [monotonicity #676]: #670 +#508 := [trans #677 #692]: #506 +#662 := [monotonicity #508]: #509 +#665 := [trans #662 #685]: #663 +#680 := (iff #377 #11) +#678 := (iff #377 #683) +#681 := (= #720 #691) +#405 := (= #720 #690) +#411 := (= #718 -1::Int) +#698 := (= #718 #507) +#697 := (= #383 1::Int) +#694 := [rewrite]: #697 +#408 := [monotonicity #694]: #698 +#689 := [trans #408 #410]: #411 +#687 := [monotonicity #689]: #405 +#682 := [trans #687 #692]: #681 +#679 := [monotonicity #682]: #678 +#686 := [trans #679 #685]: #680 +#419 := (iff #404 true) +#711 := (or true false) +#712 := (iff #711 true) +#710 := [rewrite]: #712 +#696 := (iff #404 #711) +#319 := (iff #400 false) +#700 := (not true) +#424 := (iff #700 false) +#425 := [rewrite]: #424 +#422 := (iff #400 #700) +#713 := (iff #403 true) +#351 := (iff #403 #711) +#360 := (iff #399 false) +#701 := [rewrite]: #360 +#346 := (iff #402 true) +#709 := [rewrite]: #346 +#352 := [monotonicity #709 #701]: #351 +#699 := [trans #352 #710]: #713 +#423 := [monotonicity #699]: #422 +#695 := [trans #423 #425]: #319 +#702 := (iff #401 true) +#703 := (not false) +#706 := (iff #703 true) +#707 := [rewrite]: #706 +#704 := (iff #401 #703) +#366 := (iff #390 false) +#725 := (or false false) +#380 := (iff #725 false) +#716 := [rewrite]: #380 +#364 := (iff #390 #725) +#365 := [monotonicity #701 #701]: #364 +#367 := [trans #365 #716]: #366 +#705 := [monotonicity #367]: #704 +#708 := [trans #705 #707]: #702 +#418 := [monotonicity #708 #695]: #696 +#693 := [trans #418 #710]: #419 +#667 := [monotonicity #693 #686 #665]: #664 +#510 := [trans #667 #550]: #551 +#376 := (iff #397 false) +#715 := (iff #397 #725) +#724 := (iff #313 false) +#719 := [rewrite]: #724 +#375 := [monotonicity #719 #719]: #715 +#717 := [trans #375 #716]: #376 +#655 := [monotonicity #717 #510]: #560 +#559 := [trans #655 #659]: #544 +#565 := [monotonicity #559]: #564 +#660 := [trans #565 #567]: #564 +#563 := [quant-inst #8 #8]: #555 +#657 := [mp #563 #660]: #562 +[unit-resolution #657 #65 #732]: false +unsat +2afe6ba8054e3b6ca9e599e36f01a50ef2fd9772 286 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -27100,99 +25199,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#683 := (pattern #17) +#726 := (pattern #17) #18 := 0::Int -#80 := -1::Int -#84 := (* -1::Int #16) -#81 := (* -1::Int #14) -#87 := (div #81 #84) -#243 := (* -1::Int #87) -#244 := (+ #17 #243) -#245 := (= #244 0::Int) +#68 := -1::Int +#72 := (* -1::Int #16) +#69 := (* -1::Int #14) +#75 := (div #69 #72) +#226 := (* -1::Int #75) +#227 := (+ #17 #226) +#228 := (= #227 0::Int) #28 := (div #14 #16) -#240 := (* -1::Int #28) -#241 := (+ #17 #240) -#242 := (= #241 0::Int) -#58 := (<= #16 0::Int) -#150 := (>= #14 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #14 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#246 := (if #207 #242 #245) -#239 := (= #17 0::Int) +#223 := (* -1::Int #28) +#224 := (+ #17 #223) +#225 := (= #224 0::Int) +#94 := (<= #16 0::Int) +#101 := (>= #14 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #14 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#229 := (if #190 #225 #228) +#222 := (= #17 0::Int) #20 := (= #16 0::Int) #19 := (= #14 0::Int) #21 := (or #19 #20) -#247 := (if #21 #239 #246) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #247) -#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) -#687 := (iff #250 #684) -#685 := (iff #247 #247) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#210 := (if #207 #28 #87) -#213 := (if #21 0::Int #210) -#216 := (= #17 #213) -#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) -#251 := (iff #219 #250) -#248 := (iff #216 #247) -#249 := [rewrite]: #248 -#252 := [quant-intro #249]: #251 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#162 := (if #159 #28 #87) -#165 := (if #21 0::Int #162) -#168 := (= #17 #165) -#171 := (forall (vars (?v0 Int) (?v1 Int)) #168) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#214 := (= #165 #213) -#211 := (= #162 #210) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [monotonicity #212]: #214 -#218 := [monotonicity #215]: #217 -#221 := [quant-intro #218]: #220 -#148 := (~ #171 #171) -#193 := (~ #168 #168) -#194 := [refl]: #193 -#149 := [nnf-pos #194]: #148 -#65 := (<= 0::Int #14) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#90 := (if #77 #28 #87) -#93 := (if #21 0::Int #90) -#96 := (= #17 #93) -#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) -#172 := (iff #99 #171) -#169 := (iff #96 #168) -#166 := (= #93 #165) -#163 := (= #90 #162) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [monotonicity #161]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [quant-intro #170]: #172 +#230 := (if #21 #222 #229) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #230) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#730 := (iff #233 #727) +#728 := (iff #230 #230) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#193 := (if #190 #28 #75) +#196 := (if #21 0::Int #193) +#199 := (= #17 #196) +#202 := (forall (vars (?v0 Int) (?v1 Int)) #199) +#234 := (iff #202 #233) +#231 := (iff #199 #230) +#232 := [rewrite]: #231 +#235 := [quant-intro #232]: #234 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#111 := (if #108 #28 #75) +#114 := (if #21 0::Int #111) +#117 := (= #17 #114) +#120 := (forall (vars (?v0 Int) (?v1 Int)) #117) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#197 := (= #114 #196) +#194 := (= #111 #193) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#195 := [monotonicity #192]: #194 +#198 := [monotonicity #195]: #197 +#201 := [monotonicity #198]: #200 +#204 := [quant-intro #201]: #203 +#182 := (~ #120 #120) +#180 := (~ #117 #117) +#181 := [refl]: #180 +#183 := [nnf-pos #181]: #182 #30 := (- #16) #29 := (- #14) #31 := (div #29 #30) @@ -27206,194 +25281,202 @@ #33 := (if #21 0::Int #32) #34 := (= #17 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#100 := (iff #35 #99) -#97 := (iff #34 #96) -#94 := (= #33 #93) -#91 := (= #32 #90) -#88 := (= #31 #87) -#85 := (= #30 #84) -#86 := [rewrite]: #85 -#82 := (= #29 #81) -#83 := [rewrite]: #82 -#89 := [monotonicity #83 #86]: #88 -#78 := (iff #27 #77) -#75 := (iff #26 #74) -#60 := (iff #23 #59) -#61 := [rewrite]: #60 -#67 := (iff #25 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #24 #62) -#56 := (iff #22 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#92 := [monotonicity #79 #89]: #91 -#95 := [monotonicity #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [quant-intro #98]: #100 -#49 := [asserted]: #35 -#102 := [mp #49 #101]: #99 -#174 := [mp #102 #173]: #171 -#191 := [mp~ #174 #149]: #171 -#222 := [mp #191 #221]: #219 -#253 := [mp #222 #252]: #250 -#689 := [mp #253 #688]: #684 +#123 := (iff #35 #120) +#78 := (if #27 #28 #75) +#81 := (if #21 0::Int #78) +#84 := (= #17 #81) +#87 := (forall (vars (?v0 Int) (?v1 Int)) #84) +#121 := (iff #87 #120) +#118 := (iff #84 #117) +#115 := (= #81 #114) +#112 := (= #78 #111) +#109 := (iff #27 #108) +#106 := (iff #26 #105) +#96 := (iff #23 #95) +#97 := [rewrite]: #96 +#103 := (iff #25 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #24 #98) +#92 := (iff #22 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [monotonicity #116]: #118 +#122 := [quant-intro #119]: #121 +#88 := (iff #35 #87) +#85 := (iff #34 #84) +#82 := (= #33 #81) +#79 := (= #32 #78) +#76 := (= #31 #75) +#73 := (= #30 #72) +#74 := [rewrite]: #73 +#70 := (= #29 #69) +#71 := [rewrite]: #70 +#77 := [monotonicity #71 #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#89 := [quant-intro #86]: #88 +#124 := [trans #89 #122]: #123 +#67 := [asserted]: #35 +#125 := [mp #67 #124]: #120 +#174 := [mp~ #125 #183]: #120 +#205 := [mp #174 #204]: #202 +#236 := [mp #205 #235]: #233 +#732 := [mp #236 #731]: #727 #8 := 3::Int #10 := 1::Int #9 := (f4 f5 3::Int) #11 := (f3 #9 1::Int) #12 := (= #11 3::Int) #13 := (not #12) -#48 := [asserted]: #13 -#618 := (not #684) -#605 := (or #618 #12) -#346 := (* -1::Int 1::Int) -#345 := (* -1::Int 3::Int) -#678 := (div #345 #346) -#679 := (* -1::Int #678) -#680 := (+ #11 #679) -#681 := (= #680 0::Int) -#677 := (div 3::Int 1::Int) -#334 := (* -1::Int #677) -#464 := (+ #11 #334) -#671 := (= #464 0::Int) -#358 := (<= 1::Int 0::Int) -#357 := (>= 3::Int 0::Int) -#361 := (or #357 #358) -#340 := (not #361) -#347 := (<= 3::Int 0::Int) -#359 := (or #347 #358) -#360 := (not #359) -#675 := (or #360 #340) -#676 := (if #675 #671 #681) -#356 := (= #11 0::Int) -#354 := (= 1::Int 0::Int) -#270 := (= 3::Int 0::Int) -#355 := (or #270 #354) -#682 := (if #355 #356 #676) -#607 := (or #618 #682) -#596 := (iff #607 #605) -#608 := (iff #605 #605) -#609 := [rewrite]: #608 -#617 := (iff #682 #12) -#520 := (if false #356 #12) -#523 := (iff #520 #12) -#524 := [rewrite]: #523 -#521 := (iff #682 #520) -#519 := (iff #676 #12) -#1 := true -#613 := (if true #12 #12) -#516 := (iff #613 #12) -#518 := [rewrite]: #516 -#616 := (iff #676 #613) -#517 := (iff #681 #12) -#648 := -3::Int -#641 := (+ -3::Int #11) -#485 := (= #641 0::Int) -#629 := (iff #485 #12) -#630 := [rewrite]: #629 -#467 := (iff #681 #485) -#507 := (= #680 #641) -#640 := (+ #11 -3::Int) -#642 := (= #640 #641) -#637 := [rewrite]: #642 -#624 := (= #680 #640) -#623 := (= #679 -3::Int) -#645 := (= #345 -3::Int) -#649 := [rewrite]: #645 -#620 := (= #679 #345) -#466 := (= #678 3::Int) -#633 := (div -3::Int -1::Int) -#463 := (= #633 3::Int) -#465 := [rewrite]: #463 -#627 := (= #678 #633) -#626 := (= #346 -1::Int) -#632 := [rewrite]: #626 -#634 := [monotonicity #649 #632]: #627 -#619 := [trans #634 #465]: #466 -#622 := [monotonicity #619]: #620 -#621 := [trans #622 #649]: #623 -#506 := [monotonicity #621]: #624 -#508 := [trans #506 #637]: #507 -#615 := [monotonicity #508]: #467 -#612 := [trans #615 #630]: #517 -#631 := (iff #671 #12) -#486 := (iff #671 #485) -#643 := (= #464 #641) -#635 := (= #464 #640) -#638 := (= #334 -3::Int) -#362 := (= #334 #345) -#646 := (= #677 3::Int) -#647 := [rewrite]: #646 -#644 := [monotonicity #647]: #362 -#639 := [trans #644 #649]: #638 -#636 := [monotonicity #639]: #635 -#484 := [trans #636 #637]: #643 -#628 := [monotonicity #484]: #486 -#625 := [trans #628 #630]: #631 -#367 := (iff #675 true) -#657 := (or true false) -#381 := (iff #657 true) -#382 := [rewrite]: #381 -#365 := (iff #675 #657) -#651 := (iff #340 false) -#653 := (not true) -#650 := (iff #653 false) -#654 := [rewrite]: #650 -#375 := (iff #340 #653) -#276 := (iff #361 true) -#379 := (iff #361 #657) -#661 := (iff #358 false) -#662 := [rewrite]: #661 -#670 := (iff #357 true) -#656 := [rewrite]: #670 -#380 := [monotonicity #656 #662]: #379 -#652 := [trans #380 #382]: #276 -#376 := [monotonicity #652]: #375 -#655 := [trans #376 #654]: #651 -#669 := (iff #360 true) -#303 := (not false) -#308 := (iff #303 true) -#309 := [rewrite]: #308 -#666 := (iff #360 #303) -#659 := (iff #359 false) -#333 := (or false false) -#658 := (iff #333 false) -#321 := [rewrite]: #658 -#663 := (iff #359 #333) -#324 := (iff #347 false) -#660 := [rewrite]: #324 -#664 := [monotonicity #660 #662]: #663 -#665 := [trans #664 #321]: #659 -#668 := [monotonicity #665]: #666 -#667 := [trans #668 #309]: #669 -#366 := [monotonicity #667 #655]: #365 -#368 := [trans #366 #382]: #367 -#501 := [monotonicity #368 #625 #612]: #616 -#512 := [trans #501 #518]: #519 -#322 := (iff #355 false) -#674 := (iff #355 #333) -#337 := (iff #354 false) -#673 := [rewrite]: #337 -#672 := (iff #270 false) -#332 := [rewrite]: #672 -#317 := [monotonicity #332 #673]: #674 -#323 := [trans #317 #321]: #322 -#522 := [monotonicity #323 #512]: #521 -#614 := [trans #522 #524]: #617 -#598 := [monotonicity #614]: #596 -#610 := [trans #598 #609]: #596 -#599 := [quant-inst #8 #10]: #607 -#606 := [mp #599 #610]: #605 -[unit-resolution #606 #48 #689]: false -66efac954bb1bd3de1e46f930d0903efeef6fa16 330 0 -unsat +#66 := [asserted]: #13 +#661 := (not #727) +#648 := (or #661 #12) +#389 := (* -1::Int 1::Int) +#388 := (* -1::Int 3::Int) +#721 := (div #388 #389) +#722 := (* -1::Int #721) +#723 := (+ #11 #722) +#724 := (= #723 0::Int) +#720 := (div 3::Int 1::Int) +#377 := (* -1::Int #720) +#507 := (+ #11 #377) +#714 := (= #507 0::Int) +#401 := (<= 1::Int 0::Int) +#400 := (>= 3::Int 0::Int) +#404 := (or #400 #401) +#383 := (not #404) +#390 := (<= 3::Int 0::Int) +#402 := (or #390 #401) +#403 := (not #402) +#718 := (or #403 #383) +#719 := (if #718 #714 #724) +#399 := (= #11 0::Int) +#397 := (= 1::Int 0::Int) +#313 := (= 3::Int 0::Int) +#398 := (or #313 #397) +#725 := (if #398 #399 #719) +#650 := (or #661 #725) +#639 := (iff #650 #648) +#651 := (iff #648 #648) +#652 := [rewrite]: #651 +#660 := (iff #725 #12) +#563 := (if false #399 #12) +#566 := (iff #563 #12) +#567 := [rewrite]: #566 +#564 := (iff #725 #563) +#562 := (iff #719 #12) +#1 := true +#656 := (if true #12 #12) +#559 := (iff #656 #12) +#561 := [rewrite]: #559 +#659 := (iff #719 #656) +#560 := (iff #724 #12) +#691 := -3::Int +#684 := (+ -3::Int #11) +#528 := (= #684 0::Int) +#672 := (iff #528 #12) +#673 := [rewrite]: #672 +#510 := (iff #724 #528) +#550 := (= #723 #684) +#683 := (+ #11 -3::Int) +#685 := (= #683 #684) +#680 := [rewrite]: #685 +#667 := (= #723 #683) +#666 := (= #722 -3::Int) +#688 := (= #388 -3::Int) +#692 := [rewrite]: #688 +#663 := (= #722 #388) +#509 := (= #721 3::Int) +#676 := (div -3::Int -1::Int) +#506 := (= #676 3::Int) +#508 := [rewrite]: #506 +#670 := (= #721 #676) +#669 := (= #389 -1::Int) +#675 := [rewrite]: #669 +#677 := [monotonicity #692 #675]: #670 +#662 := [trans #677 #508]: #509 +#665 := [monotonicity #662]: #663 +#664 := [trans #665 #692]: #666 +#549 := [monotonicity #664]: #667 +#551 := [trans #549 #680]: #550 +#658 := [monotonicity #551]: #510 +#655 := [trans #658 #673]: #560 +#674 := (iff #714 #12) +#529 := (iff #714 #528) +#686 := (= #507 #684) +#678 := (= #507 #683) +#681 := (= #377 -3::Int) +#405 := (= #377 #388) +#689 := (= #720 3::Int) +#690 := [rewrite]: #689 +#687 := [monotonicity #690]: #405 +#682 := [trans #687 #692]: #681 +#679 := [monotonicity #682]: #678 +#527 := [trans #679 #680]: #686 +#671 := [monotonicity #527]: #529 +#668 := [trans #671 #673]: #674 +#410 := (iff #718 true) +#700 := (or true false) +#424 := (iff #700 true) +#425 := [rewrite]: #424 +#408 := (iff #718 #700) +#694 := (iff #383 false) +#696 := (not true) +#693 := (iff #696 false) +#697 := [rewrite]: #693 +#418 := (iff #383 #696) +#319 := (iff #404 true) +#422 := (iff #404 #700) +#704 := (iff #401 false) +#705 := [rewrite]: #704 +#713 := (iff #400 true) +#699 := [rewrite]: #713 +#423 := [monotonicity #699 #705]: #422 +#695 := [trans #423 #425]: #319 +#419 := [monotonicity #695]: #418 +#698 := [trans #419 #697]: #694 +#712 := (iff #403 true) +#346 := (not false) +#351 := (iff #346 true) +#352 := [rewrite]: #351 +#709 := (iff #403 #346) +#702 := (iff #402 false) +#376 := (or false false) +#701 := (iff #376 false) +#364 := [rewrite]: #701 +#706 := (iff #402 #376) +#367 := (iff #390 false) +#703 := [rewrite]: #367 +#707 := [monotonicity #703 #705]: #706 +#708 := [trans #707 #364]: #702 +#711 := [monotonicity #708]: #709 +#710 := [trans #711 #352]: #712 +#409 := [monotonicity #710 #698]: #408 +#411 := [trans #409 #425]: #410 +#544 := [monotonicity #411 #668 #655]: #659 +#555 := [trans #544 #561]: #562 +#365 := (iff #398 false) +#717 := (iff #398 #376) +#380 := (iff #397 false) +#716 := [rewrite]: #380 +#715 := (iff #313 false) +#375 := [rewrite]: #715 +#360 := [monotonicity #375 #716]: #717 +#366 := [trans #360 #364]: #365 +#565 := [monotonicity #366 #555]: #564 +#657 := [trans #565 #567]: #660 +#641 := [monotonicity #657]: #639 +#653 := [trans #641 #652]: #639 +#642 := [quant-inst #8 #10]: #650 +#649 := [mp #642 #653]: #648 +[unit-resolution #649 #66 #732]: false +unsat +bc025623c048399a2cbdaaab334a8777f197552e 314 0 #2 := false #18 := 0::Int decl f3 :: (-> S2 Int Int) @@ -27405,166 +25488,142 @@ #7 := f5 #9 := (f4 f5 f6) #11 := (f3 #9 1::Int) -#356 := (= #11 0::Int) -#516 := (not #356) +#400 := (= #11 0::Int) +#560 := (not #400) #12 := (= #11 f6) #13 := (not #12) -#595 := (iff #13 #516) -#594 := (iff #12 #356) -#589 := (iff #356 #12) -#580 := (= 0::Int f6) -#270 := (= f6 0::Int) -#677 := (div f6 1::Int) -#80 := -1::Int -#334 := (* -1::Int #677) -#464 := (+ #11 #334) -#671 := (= #464 0::Int) -#621 := (not #671) -#585 := (= #677 f6) -#528 := (= f6 #677) -#567 := (+ f6 #334) -#573 := (<= #567 0::Int) -#587 := (= #567 0::Int) -#1 := true -#147 := [true-axiom]: true -#539 := (or false #587) -#540 := [th-lemma arith]: #539 -#541 := [unit-resolution #540 #147]: #587 -#544 := (not #587) -#545 := (or #544 #573) -#546 := [th-lemma arith triangle-eq]: #545 -#542 := [unit-resolution #546 #541]: #573 -#574 := (>= #567 0::Int) -#547 := (or #544 #574) -#527 := [th-lemma arith triangle-eq]: #547 -#473 := [unit-resolution #527 #541]: #574 -#509 := [th-lemma arith eq-propagate 1 1 #473 #542]: #528 -#529 := [symm #509]: #585 -#538 := (= #11 #677) -#633 := (<= #464 0::Int) -#557 := [hypothesis]: #671 -#530 := (or #621 #633) -#531 := [th-lemma arith triangle-eq]: #530 -#532 := [unit-resolution #531 #557]: #633 -#627 := (>= #464 0::Int) -#425 := (or #621 #627) -#536 := [th-lemma arith triangle-eq]: #425 -#537 := [unit-resolution #536 #557]: #627 -#543 := [th-lemma arith eq-propagate 1 1 #537 #532]: #538 -#535 := [trans #543 #529]: #12 -#48 := [asserted]: #13 -#503 := [unit-resolution #48 #535]: false -#510 := [lemma #503]: #621 -#345 := (* -1::Int f6) -#375 := (div #345 -1::Int) -#654 := (* -1::Int #375) -#365 := (+ #11 #654) -#368 := (= #365 0::Int) -#357 := (>= f6 0::Int) -#657 := (not #357) -#347 := (<= f6 0::Int) -#665 := (not #347) -#381 := (or #665 #657) -#362 := (if #381 #671 #368) -#517 := (not #270) -#607 := [hypothesis]: #517 -#601 := (or #270 #362) -#645 := (if #270 #356 #362) +#532 := (iff #13 #560) +#526 := (iff #12 #400) +#570 := (iff #400 #12) +#569 := (= 0::Int f6) +#314 := (= f6 0::Int) +#721 := (div f6 1::Int) +#68 := -1::Int +#378 := (* -1::Int #721) +#508 := (+ #11 #378) +#715 := (= #508 0::Int) +#665 := (not #715) +#629 := (= #721 f6) +#572 := (= f6 #721) +#611 := (+ f6 #378) +#617 := (<= #611 0::Int) +#631 := (= #611 0::Int) +#1 := true +#64 := [true-axiom]: true +#583 := (or false #631) +#584 := [th-lemma arith]: #583 +#585 := [unit-resolution #584 #64]: #631 +#588 := (not #631) +#589 := (or #588 #617) +#590 := [th-lemma arith triangle-eq]: #589 +#586 := [unit-resolution #590 #585]: #617 +#618 := (>= #611 0::Int) +#591 := (or #588 #618) +#571 := [th-lemma arith triangle-eq]: #591 +#517 := [unit-resolution #571 #585]: #618 +#553 := [th-lemma arith eq-propagate 1 1 #517 #586]: #572 +#573 := [symm #553]: #629 +#582 := (= #11 #721) +#677 := (<= #508 0::Int) +#601 := [hypothesis]: #715 +#574 := (or #665 #677) +#575 := [th-lemma arith triangle-eq]: #574 +#576 := [unit-resolution #575 #601]: #677 +#671 := (>= #508 0::Int) +#469 := (or #665 #671) +#580 := [th-lemma arith triangle-eq]: #469 +#581 := [unit-resolution #580 #601]: #671 +#587 := [th-lemma arith eq-propagate 1 1 #581 #576]: #582 +#579 := [trans #587 #573]: #12 +#66 := [asserted]: #13 +#547 := [unit-resolution #66 #579]: false +#554 := [lemma #547]: #665 +#389 := (* -1::Int f6) +#419 := (div #389 -1::Int) +#698 := (* -1::Int #419) +#409 := (+ #11 #698) +#412 := (= #409 0::Int) +#401 := (>= f6 0::Int) +#701 := (not #401) +#391 := (<= f6 0::Int) +#709 := (not #391) +#425 := (or #709 #701) +#406 := (if #425 #715 #412) +#561 := (not #314) +#651 := [hypothesis]: #561 +#578 := (or #314 #406) +#689 := (if #314 #400 #406) #16 := (:var 0 Int) #14 := (:var 1 Int) #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#683 := (pattern #17) -#84 := (* -1::Int #16) -#81 := (* -1::Int #14) -#87 := (div #81 #84) -#243 := (* -1::Int #87) -#244 := (+ #17 #243) -#245 := (= #244 0::Int) +#727 := (pattern #17) +#72 := (* -1::Int #16) +#69 := (* -1::Int #14) +#75 := (div #69 #72) +#226 := (* -1::Int #75) +#227 := (+ #17 #226) +#228 := (= #227 0::Int) #28 := (div #14 #16) -#240 := (* -1::Int #28) -#241 := (+ #17 #240) -#242 := (= #241 0::Int) -#58 := (<= #16 0::Int) -#150 := (>= #14 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #14 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#246 := (if #207 #242 #245) -#239 := (= #17 0::Int) +#223 := (* -1::Int #28) +#224 := (+ #17 #223) +#225 := (= #224 0::Int) +#94 := (<= #16 0::Int) +#101 := (>= #14 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #14 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#229 := (if #190 #225 #228) +#222 := (= #17 0::Int) #20 := (= #16 0::Int) #19 := (= #14 0::Int) #21 := (or #19 #20) -#247 := (if #21 #239 #246) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #247) -#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) -#687 := (iff #250 #684) -#685 := (iff #247 #247) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#210 := (if #207 #28 #87) -#213 := (if #21 0::Int #210) -#216 := (= #17 #213) -#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) -#251 := (iff #219 #250) -#248 := (iff #216 #247) -#249 := [rewrite]: #248 -#252 := [quant-intro #249]: #251 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#162 := (if #159 #28 #87) -#165 := (if #21 0::Int #162) -#168 := (= #17 #165) -#171 := (forall (vars (?v0 Int) (?v1 Int)) #168) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#214 := (= #165 #213) -#211 := (= #162 #210) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [monotonicity #212]: #214 -#218 := [monotonicity #215]: #217 -#221 := [quant-intro #218]: #220 -#193 := (~ #171 #171) -#195 := (~ #168 #168) -#196 := [refl]: #195 -#194 := [nnf-pos #196]: #193 -#65 := (<= 0::Int #14) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#90 := (if #77 #28 #87) -#93 := (if #21 0::Int #90) -#96 := (= #17 #93) -#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) -#172 := (iff #99 #171) -#169 := (iff #96 #168) -#166 := (= #93 #165) -#163 := (= #90 #162) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [monotonicity #161]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [quant-intro #170]: #172 +#230 := (if #21 #222 #229) +#728 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #727) #230) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#731 := (iff #233 #728) +#729 := (iff #230 #230) +#730 := [refl]: #729 +#732 := [quant-intro #730]: #731 +#193 := (if #190 #28 #75) +#196 := (if #21 0::Int #193) +#199 := (= #17 #196) +#202 := (forall (vars (?v0 Int) (?v1 Int)) #199) +#234 := (iff #202 #233) +#231 := (iff #199 #230) +#232 := [rewrite]: #231 +#235 := [quant-intro #232]: #234 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#111 := (if #108 #28 #75) +#114 := (if #21 0::Int #111) +#117 := (= #17 #114) +#120 := (forall (vars (?v0 Int) (?v1 Int)) #117) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#197 := (= #114 #196) +#194 := (= #111 #193) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#195 := [monotonicity #192]: #194 +#198 := [monotonicity #195]: #197 +#201 := [monotonicity #198]: #200 +#204 := [quant-intro #201]: #203 +#182 := (~ #120 #120) +#180 := (~ #117 #117) +#181 := [refl]: #180 +#183 := [nnf-pos #181]: #182 #30 := (- #16) #29 := (- #14) #31 := (div #29 #30) @@ -27578,153 +25637,161 @@ #33 := (if #21 0::Int #32) #34 := (= #17 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#100 := (iff #35 #99) -#97 := (iff #34 #96) -#94 := (= #33 #93) -#91 := (= #32 #90) -#88 := (= #31 #87) -#85 := (= #30 #84) -#86 := [rewrite]: #85 -#82 := (= #29 #81) -#83 := [rewrite]: #82 -#89 := [monotonicity #83 #86]: #88 -#78 := (iff #27 #77) -#75 := (iff #26 #74) -#60 := (iff #23 #59) -#61 := [rewrite]: #60 -#67 := (iff #25 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #24 #62) -#56 := (iff #22 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#92 := [monotonicity #79 #89]: #91 -#95 := [monotonicity #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [quant-intro #98]: #100 -#49 := [asserted]: #35 -#102 := [mp #49 #101]: #99 -#174 := [mp #102 #173]: #171 -#148 := [mp~ #174 #194]: #171 -#222 := [mp #148 #221]: #219 -#253 := [mp #222 #252]: #250 -#689 := [mp #253 #688]: #684 -#639 := (not #684) -#640 := (or #639 #645) -#346 := (* -1::Int 1::Int) -#678 := (div #345 #346) -#679 := (* -1::Int #678) -#680 := (+ #11 #679) -#681 := (= #680 0::Int) -#358 := (<= 1::Int 0::Int) -#361 := (or #357 #358) -#340 := (not #361) -#359 := (or #347 #358) -#360 := (not #359) -#675 := (or #360 #340) -#676 := (if #675 #671 #681) -#354 := (= 1::Int 0::Int) -#355 := (or #270 #354) -#682 := (if #355 #356 #676) -#635 := (or #639 #682) -#641 := (iff #635 #640) -#637 := (iff #640 #640) -#643 := [rewrite]: #637 -#649 := (iff #682 #645) -#644 := (iff #676 #362) -#646 := (iff #681 #368) -#366 := (= #680 #365) -#651 := (= #679 #654) -#376 := (= #678 #375) -#652 := (= #346 -1::Int) -#653 := [rewrite]: #652 -#650 := [monotonicity #653]: #376 -#655 := [monotonicity #650]: #651 -#367 := [monotonicity #655]: #366 -#647 := [monotonicity #367]: #646 -#382 := (iff #675 #381) -#379 := (iff #340 #657) -#670 := (iff #361 #357) -#668 := (or #357 false) -#669 := (iff #668 #357) -#667 := [rewrite]: #669 -#308 := (iff #361 #668) -#322 := (iff #358 false) -#323 := [rewrite]: #322 -#309 := [monotonicity #323]: #308 -#656 := [trans #309 #667]: #670 -#380 := [monotonicity #656]: #379 -#303 := (iff #360 #665) -#664 := (iff #359 #347) -#324 := (or #347 false) -#662 := (iff #324 #347) -#663 := [rewrite]: #662 -#660 := (iff #359 #324) -#661 := [monotonicity #323]: #660 -#659 := [trans #661 #663]: #664 -#666 := [monotonicity #659]: #303 -#276 := [monotonicity #666 #380]: #382 -#648 := [monotonicity #276 #647]: #644 -#658 := (iff #355 #270) -#337 := (or #270 false) -#674 := (iff #337 #270) -#317 := [rewrite]: #674 -#673 := (iff #355 #337) -#672 := (iff #354 false) -#332 := [rewrite]: #672 -#333 := [monotonicity #332]: #673 -#321 := [trans #333 #317]: #658 -#638 := [monotonicity #321 #648]: #649 -#642 := [monotonicity #638]: #641 -#484 := [trans #642 #643]: #641 -#636 := [quant-inst #8 #10]: #635 -#485 := [mp #636 #484]: #640 -#597 := [unit-resolution #485 #689]: #645 -#615 := (not #645) -#616 := (or #615 #270 #362) -#501 := [def-axiom]: #616 -#602 := [unit-resolution #501 #597]: #601 -#603 := [unit-resolution #602 #607]: #362 -#609 := (or #381 #270) -#631 := (not #381) -#614 := [hypothesis]: #631 -#486 := (or #381 #347) -#628 := [def-axiom]: #486 -#618 := [unit-resolution #628 #614]: #347 -#629 := (or #381 #357) -#630 := [def-axiom]: #629 -#605 := [unit-resolution #630 #614]: #357 -#599 := (or #270 #665 #657) -#596 := [th-lemma arith triangle-eq]: #599 -#598 := [unit-resolution #596 #607]: #381 -#608 := [unit-resolution #598 #605 #618]: false -#610 := [lemma #608]: #609 -#575 := [unit-resolution #610 #607]: #381 -#466 := (not #362) -#619 := (or #466 #631 #671) -#620 := [def-axiom]: #619 -#576 := [unit-resolution #620 #575 #603 #510]: false -#577 := [lemma #576]: #270 -#588 := [symm #577]: #580 -#593 := [monotonicity #588]: #589 -#590 := [symm #593]: #594 -#581 := [monotonicity #590]: #595 -#582 := [mp #48 #581]: #516 -#578 := (or #517 #356) -#612 := (or #615 #517 #356) -#613 := [def-axiom]: #612 -#579 := [unit-resolution #613 #597]: #578 -#569 := [unit-resolution #579 #577]: #356 -[unit-resolution #569 #582]: false -54eadbdaf5a8d862c94033c6a936caca8195fd89 304 0 -unsat +#123 := (iff #35 #120) +#78 := (if #27 #28 #75) +#81 := (if #21 0::Int #78) +#84 := (= #17 #81) +#87 := (forall (vars (?v0 Int) (?v1 Int)) #84) +#121 := (iff #87 #120) +#118 := (iff #84 #117) +#115 := (= #81 #114) +#112 := (= #78 #111) +#109 := (iff #27 #108) +#106 := (iff #26 #105) +#96 := (iff #23 #95) +#97 := [rewrite]: #96 +#103 := (iff #25 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #24 #98) +#92 := (iff #22 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [monotonicity #116]: #118 +#122 := [quant-intro #119]: #121 +#88 := (iff #35 #87) +#85 := (iff #34 #84) +#82 := (= #33 #81) +#79 := (= #32 #78) +#76 := (= #31 #75) +#73 := (= #30 #72) +#74 := [rewrite]: #73 +#70 := (= #29 #69) +#71 := [rewrite]: #70 +#77 := [monotonicity #71 #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#89 := [quant-intro #86]: #88 +#124 := [trans #89 #122]: #123 +#67 := [asserted]: #35 +#125 := [mp #67 #124]: #120 +#174 := [mp~ #125 #183]: #120 +#205 := [mp #174 #204]: #202 +#236 := [mp #205 #235]: #233 +#733 := [mp #236 #732]: #728 +#683 := (not #728) +#684 := (or #683 #689) +#390 := (* -1::Int 1::Int) +#722 := (div #389 #390) +#723 := (* -1::Int #722) +#724 := (+ #11 #723) +#725 := (= #724 0::Int) +#402 := (<= 1::Int 0::Int) +#405 := (or #401 #402) +#384 := (not #405) +#403 := (or #391 #402) +#404 := (not #403) +#719 := (or #404 #384) +#720 := (if #719 #715 #725) +#398 := (= 1::Int 0::Int) +#399 := (or #314 #398) +#726 := (if #399 #400 #720) +#679 := (or #683 #726) +#685 := (iff #679 #684) +#681 := (iff #684 #684) +#687 := [rewrite]: #681 +#693 := (iff #726 #689) +#688 := (iff #720 #406) +#690 := (iff #725 #412) +#410 := (= #724 #409) +#695 := (= #723 #698) +#420 := (= #722 #419) +#696 := (= #390 -1::Int) +#697 := [rewrite]: #696 +#694 := [monotonicity #697]: #420 +#699 := [monotonicity #694]: #695 +#411 := [monotonicity #699]: #410 +#691 := [monotonicity #411]: #690 +#426 := (iff #719 #425) +#423 := (iff #384 #701) +#714 := (iff #405 #401) +#712 := (or #401 false) +#713 := (iff #712 #401) +#711 := [rewrite]: #713 +#352 := (iff #405 #712) +#366 := (iff #402 false) +#367 := [rewrite]: #366 +#353 := [monotonicity #367]: #352 +#700 := [trans #353 #711]: #714 +#424 := [monotonicity #700]: #423 +#347 := (iff #404 #709) +#708 := (iff #403 #391) +#368 := (or #391 false) +#706 := (iff #368 #391) +#707 := [rewrite]: #706 +#704 := (iff #403 #368) +#705 := [monotonicity #367]: #704 +#703 := [trans #705 #707]: #708 +#710 := [monotonicity #703]: #347 +#320 := [monotonicity #710 #424]: #426 +#692 := [monotonicity #320 #691]: #688 +#702 := (iff #399 #314) +#381 := (or #314 false) +#718 := (iff #381 #314) +#361 := [rewrite]: #718 +#717 := (iff #399 #381) +#716 := (iff #398 false) +#376 := [rewrite]: #716 +#377 := [monotonicity #376]: #717 +#365 := [trans #377 #361]: #702 +#682 := [monotonicity #365 #692]: #693 +#686 := [monotonicity #682]: #685 +#528 := [trans #686 #687]: #685 +#680 := [quant-inst #8 #10]: #679 +#529 := [mp #680 #528]: #684 +#577 := [unit-resolution #529 #733]: #689 +#659 := (not #689) +#660 := (or #659 #314 #406) +#545 := [def-axiom]: #660 +#513 := [unit-resolution #545 #577]: #578 +#544 := [unit-resolution #513 #651]: #406 +#653 := (or #425 #314) +#675 := (not #425) +#658 := [hypothesis]: #675 +#530 := (or #425 #391) +#672 := [def-axiom]: #530 +#662 := [unit-resolution #672 #658]: #391 +#673 := (or #425 #401) +#674 := [def-axiom]: #673 +#649 := [unit-resolution #674 #658]: #401 +#643 := (or #314 #709 #701) +#640 := [th-lemma arith triangle-eq]: #643 +#642 := [unit-resolution #640 #651]: #425 +#652 := [unit-resolution #642 #649 #662]: false +#654 := [lemma #652]: #653 +#546 := [unit-resolution #654 #651]: #425 +#510 := (not #406) +#663 := (or #510 #675 #715) +#664 := [def-axiom]: #663 +#548 := [unit-resolution #664 #546 #544 #554]: false +#555 := [lemma #548]: #314 +#549 := [symm #555]: #569 +#525 := [monotonicity #549]: #570 +#531 := [symm #525]: #526 +#533 := [monotonicity #531]: #532 +#534 := [mp #66 #533]: #560 +#557 := (or #561 #400) +#656 := (or #659 #561 #400) +#657 := [def-axiom]: #656 +#558 := [unit-resolution #657 #577]: #557 +#559 := [unit-resolution #558 #555]: #400 +[unit-resolution #559 #534]: false +unsat +54537fcadbc5f87e29d49193f557c51ef593586b 288 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -27734,99 +25801,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#695 := (pattern #18) +#739 := (pattern #18) #8 := 0::Int -#54 := -1::Int -#96 := (* -1::Int #17) -#93 := (* -1::Int #15) -#99 := (div #93 #96) -#255 := (* -1::Int #99) -#256 := (+ #18 #255) -#257 := (= #256 0::Int) +#67 := -1::Int +#84 := (* -1::Int #17) +#80 := (* -1::Int #15) +#87 := (div #80 #84) +#238 := (* -1::Int #87) +#239 := (+ #18 #238) +#240 := (= #239 0::Int) #28 := (div #15 #17) -#252 := (* -1::Int #28) -#253 := (+ #18 #252) -#254 := (= #253 0::Int) -#71 := (<= #17 0::Int) -#162 := (>= #15 0::Int) -#215 := (or #162 #71) -#216 := (not #215) -#67 := (<= #15 0::Int) -#211 := (or #67 #71) -#212 := (not #211) -#219 := (or #212 #216) -#258 := (if #219 #254 #257) -#251 := (= #18 0::Int) +#235 := (* -1::Int #28) +#236 := (+ #18 #235) +#237 := (= #236 0::Int) +#106 := (<= #17 0::Int) +#113 := (>= #15 0::Int) +#198 := (or #113 #106) +#199 := (not #198) +#102 := (<= #15 0::Int) +#196 := (or #102 #106) +#197 := (not #196) +#202 := (or #197 #199) +#241 := (if #202 #237 #240) +#234 := (= #18 0::Int) #20 := (= #17 0::Int) #19 := (= #15 0::Int) #21 := (or #19 #20) -#259 := (if #21 #251 #258) -#696 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #695) #259) -#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) -#699 := (iff #262 #696) -#697 := (iff #259 #259) -#698 := [refl]: #697 -#700 := [quant-intro #698]: #699 -#222 := (if #219 #28 #99) -#225 := (if #21 0::Int #222) -#228 := (= #18 #225) -#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) -#263 := (iff #231 #262) -#260 := (iff #228 #259) -#261 := [rewrite]: #260 -#264 := [quant-intro #261]: #263 -#72 := (not #71) -#165 := (not #162) -#168 := (and #165 #72) -#68 := (not #67) -#75 := (and #68 #72) -#171 := (or #75 #168) -#174 := (if #171 #28 #99) -#177 := (if #21 0::Int #174) -#180 := (= #18 #177) -#183 := (forall (vars (?v0 Int) (?v1 Int)) #180) -#232 := (iff #183 #231) -#229 := (iff #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#218 := [rewrite]: #217 -#213 := (iff #75 #212) -#214 := [rewrite]: #213 -#221 := [monotonicity #214 #218]: #220 -#224 := [monotonicity #221]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [quant-intro #230]: #232 -#203 := (~ #183 #183) -#205 := (~ #180 #180) -#206 := [refl]: #205 -#204 := [nnf-pos #206]: #203 -#78 := (<= 0::Int #15) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#102 := (if #90 #28 #99) -#105 := (if #21 0::Int #102) -#108 := (= #18 #105) -#111 := (forall (vars (?v0 Int) (?v1 Int)) #108) -#184 := (iff #111 #183) -#181 := (iff #108 #180) -#178 := (= #105 #177) -#175 := (= #102 #174) -#172 := (iff #90 #171) -#169 := (iff #87 #168) -#166 := (iff #79 #165) -#163 := (iff #78 #162) -#164 := [rewrite]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [quant-intro #182]: #184 +#242 := (if #21 #234 #241) +#740 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #739) #242) +#245 := (forall (vars (?v0 Int) (?v1 Int)) #242) +#743 := (iff #245 #740) +#741 := (iff #242 #242) +#742 := [refl]: #741 +#744 := [quant-intro #742]: #743 +#205 := (if #202 #28 #87) +#208 := (if #21 0::Int #205) +#211 := (= #18 #208) +#214 := (forall (vars (?v0 Int) (?v1 Int)) #211) +#246 := (iff #214 #245) +#243 := (iff #211 #242) +#244 := [rewrite]: #243 +#247 := [quant-intro #244]: #246 +#107 := (not #106) +#114 := (not #113) +#117 := (and #114 #107) +#103 := (not #102) +#110 := (and #103 #107) +#120 := (or #110 #117) +#123 := (if #120 #28 #87) +#126 := (if #21 0::Int #123) +#129 := (= #18 #126) +#132 := (forall (vars (?v0 Int) (?v1 Int)) #129) +#215 := (iff #132 #214) +#212 := (iff #129 #211) +#209 := (= #126 #208) +#206 := (= #123 #205) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#201 := [rewrite]: #200 +#190 := (iff #110 #197) +#191 := [rewrite]: #190 +#204 := [monotonicity #191 #201]: #203 +#207 := [monotonicity #204]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [quant-intro #213]: #215 +#194 := (~ #132 #132) +#192 := (~ #129 #129) +#193 := [refl]: #192 +#195 := [nnf-pos #193]: #194 #30 := (- #17) #29 := (- #15) #31 := (div #29 #30) @@ -27840,196 +25883,204 @@ #33 := (if #21 0::Int #32) #34 := (= #18 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#112 := (iff #35 #111) -#109 := (iff #34 #108) -#106 := (= #33 #105) -#103 := (= #32 #102) -#100 := (= #31 #99) -#97 := (= #30 #96) -#98 := [rewrite]: #97 -#94 := (= #29 #93) -#95 := [rewrite]: #94 -#101 := [monotonicity #95 #98]: #100 -#91 := (iff #27 #90) -#88 := (iff #26 #87) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#80 := (iff #25 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) +#135 := (iff #35 #132) +#90 := (if #27 #28 #87) +#93 := (if #21 0::Int #90) +#96 := (= #18 #93) +#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) +#133 := (iff #99 #132) +#130 := (iff #96 #129) +#127 := (= #93 #126) +#124 := (= #90 #123) +#121 := (iff #27 #120) +#118 := (iff #26 #117) +#108 := (iff #23 #107) +#109 := [rewrite]: #108 +#115 := (iff #25 #114) +#116 := [rewrite]: #115 +#119 := [monotonicity #116 #109]: #118 +#111 := (iff #24 #110) +#104 := (iff #22 #103) +#105 := [rewrite]: #104 +#112 := [monotonicity #105 #109]: #111 +#122 := [monotonicity #112 #119]: #121 +#125 := [monotonicity #122]: #124 +#128 := [monotonicity #125]: #127 +#131 := [monotonicity #128]: #130 +#134 := [quant-intro #131]: #133 +#100 := (iff #35 #99) +#97 := (iff #34 #96) +#94 := (= #33 #93) +#91 := (= #32 #90) +#88 := (= #31 #87) +#85 := (= #30 #84) +#86 := [rewrite]: #85 +#82 := (= #29 #80) #83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #24 #75) -#69 := (iff #22 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#104 := [monotonicity #92 #101]: #103 -#107 := [monotonicity #104]: #106 -#110 := [monotonicity #107]: #109 -#113 := [quant-intro #110]: #112 -#49 := [asserted]: #35 -#114 := [mp #49 #113]: #111 -#186 := [mp #114 #185]: #183 -#160 := [mp~ #186 #204]: #183 -#234 := [mp #160 #233]: #231 -#265 := [mp #234 #264]: #262 -#701 := [mp #265 #700]: #696 +#89 := [monotonicity #83 #86]: #88 +#92 := [monotonicity #89]: #91 +#95 := [monotonicity #92]: #94 +#98 := [monotonicity #95]: #97 +#101 := [quant-intro #98]: #100 +#136 := [trans #101 #134]: #135 +#79 := [asserted]: #35 +#137 := [mp #79 #136]: #132 +#186 := [mp~ #137 #195]: #132 +#217 := [mp #186 #216]: #214 +#248 := [mp #217 #247]: #245 +#745 := [mp #248 #744]: #740 #9 := (f4 f5 0::Int) -#57 := (f3 #9 -1::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -1::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := 1::Int #11 := (- 1::Int) #12 := (f3 #9 #11) #13 := (= #12 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #12 #57) -#55 := (= #11 -1::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#530 := (not #696) -#531 := (or #530 #60) -#357 := (* -1::Int -1::Int) -#683 := (* -1::Int 0::Int) -#358 := (div #683 #357) -#690 := (* -1::Int #358) -#691 := (+ #57 #690) -#692 := (= #691 0::Int) -#687 := (div 0::Int -1::Int) -#689 := (* -1::Int #687) -#346 := (+ #57 #689) -#476 := (= #346 0::Int) -#359 := (<= -1::Int 0::Int) -#372 := (>= 0::Int 0::Int) -#369 := (or #372 #359) -#373 := (not #369) -#368 := (<= 0::Int 0::Int) -#370 := (or #368 #359) -#371 := (not #370) -#352 := (or #371 #373) -#693 := (if #352 #476 #692) -#366 := (= -1::Int 0::Int) -#282 := (= 0::Int 0::Int) -#367 := (or #282 #366) -#688 := (if #367 #60 #693) -#524 := (or #530 #688) -#533 := (iff #524 #531) -#535 := (iff #531 #531) -#536 := [rewrite]: #535 -#513 := (iff #688 #60) -#1 := true -#627 := (if true #60 #60) -#625 := (iff #627 #60) -#628 := [rewrite]: #625 -#529 := (iff #688 #627) -#520 := (iff #693 #60) -#635 := (if false #60 #60) -#518 := (iff #635 #60) -#519 := [rewrite]: #518 -#633 := (iff #693 #635) -#632 := (iff #692 #60) -#478 := (= #691 #57) -#650 := (+ #57 0::Int) -#647 := (= #650 #57) -#648 := [rewrite]: #647 -#475 := (= #691 #650) -#639 := (= #690 0::Int) -#656 := (= #683 0::Int) -#660 := [rewrite]: #656 -#644 := (= #690 #683) -#637 := (= #358 0::Int) -#498 := (div 0::Int 1::Int) -#642 := (= #498 0::Int) -#643 := [rewrite]: #642 -#640 := (= #358 #498) -#496 := (= #357 1::Int) -#497 := [rewrite]: #496 -#641 := [monotonicity #660 #497]: #640 -#638 := [trans #641 #643]: #637 -#645 := [monotonicity #638]: #644 -#646 := [trans #645 #660]: #639 -#477 := [monotonicity #646]: #475 -#631 := [trans #477 #648]: #478 -#634 := [monotonicity #631]: #632 -#649 := (iff #476 #60) -#653 := (= #346 #57) -#651 := (= #346 #650) -#657 := (= #689 0::Int) -#659 := (= #689 #683) -#380 := (= #687 0::Int) -#658 := [rewrite]: #380 -#374 := [monotonicity #658]: #659 -#661 := [trans #374 #660]: #657 -#652 := [monotonicity #661]: #651 -#654 := [trans #652 #648]: #653 -#655 := [monotonicity #654]: #649 -#378 := (iff #352 false) -#662 := (or false false) -#667 := (iff #662 false) -#377 := [rewrite]: #667 -#666 := (iff #352 #662) -#387 := (iff #373 false) -#680 := (not true) -#681 := (iff #680 false) -#679 := [rewrite]: #681 -#664 := (iff #373 #680) -#394 := (iff #369 true) -#674 := (or true true) -#671 := (iff #674 true) -#677 := [rewrite]: #671 -#392 := (iff #369 #674) -#672 := (iff #359 true) -#673 := [rewrite]: #672 -#669 := (iff #372 true) -#391 := [rewrite]: #669 -#393 := [monotonicity #391 #673]: #392 -#288 := [trans #393 #677]: #394 -#665 := [monotonicity #288]: #664 -#388 := [trans #665 #679]: #387 -#682 := (iff #371 false) -#320 := (iff #371 #680) -#315 := (iff #370 true) -#675 := (iff #370 #674) -#335 := (iff #368 true) -#336 := [rewrite]: #335 -#676 := [monotonicity #336 #673]: #675 -#678 := [trans #676 #677]: #315 -#321 := [monotonicity #678]: #320 -#668 := [trans #321 #679]: #682 -#663 := [monotonicity #668 #388]: #666 -#379 := [trans #663 #377]: #378 -#636 := [monotonicity #379 #655 #634]: #633 -#479 := [trans #636 #519]: #520 -#333 := (iff #367 true) -#685 := (or true false) -#329 := (iff #685 true) -#670 := [rewrite]: #329 -#345 := (iff #367 #685) -#344 := (iff #366 false) -#349 := [rewrite]: #344 -#694 := (iff #282 true) -#684 := [rewrite]: #694 -#686 := [monotonicity #684 #349]: #345 -#334 := [trans #686 #670]: #333 -#624 := [monotonicity #334 #479]: #529 -#528 := [trans #624 #628]: #513 -#534 := [monotonicity #528]: #533 -#629 := [trans #534 #536]: #533 -#532 := [quant-inst #8 #54]: #524 -#626 := [mp #532 #629]: #531 -[unit-resolution #626 #66 #701]: false -cf9d6de6ed3e36f7abf849890c513c16e310195c 313 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #12 #70) +#68 := (= #11 -1::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#574 := (not #740) +#575 := (or #574 #73) +#401 := (* -1::Int -1::Int) +#727 := (* -1::Int 0::Int) +#402 := (div #727 #401) +#734 := (* -1::Int #402) +#735 := (+ #70 #734) +#736 := (= #735 0::Int) +#731 := (div 0::Int -1::Int) +#733 := (* -1::Int #731) +#390 := (+ #70 #733) +#520 := (= #390 0::Int) +#403 := (<= -1::Int 0::Int) +#416 := (>= 0::Int 0::Int) +#413 := (or #416 #403) +#417 := (not #413) +#412 := (<= 0::Int 0::Int) +#414 := (or #412 #403) +#415 := (not #414) +#396 := (or #415 #417) +#737 := (if #396 #520 #736) +#410 := (= -1::Int 0::Int) +#326 := (= 0::Int 0::Int) +#411 := (or #326 #410) +#732 := (if #411 #73 #737) +#568 := (or #574 #732) +#577 := (iff #568 #575) +#579 := (iff #575 #575) +#580 := [rewrite]: #579 +#557 := (iff #732 #73) +#1 := true +#671 := (if true #73 #73) +#669 := (iff #671 #73) +#672 := [rewrite]: #669 +#573 := (iff #732 #671) +#564 := (iff #737 #73) +#679 := (if false #73 #73) +#562 := (iff #679 #73) +#563 := [rewrite]: #562 +#677 := (iff #737 #679) +#676 := (iff #736 #73) +#522 := (= #735 #70) +#694 := (+ #70 0::Int) +#691 := (= #694 #70) +#692 := [rewrite]: #691 +#519 := (= #735 #694) +#683 := (= #734 0::Int) +#700 := (= #727 0::Int) +#704 := [rewrite]: #700 +#688 := (= #734 #727) +#681 := (= #402 0::Int) +#542 := (div 0::Int 1::Int) +#686 := (= #542 0::Int) +#687 := [rewrite]: #686 +#684 := (= #402 #542) +#540 := (= #401 1::Int) +#541 := [rewrite]: #540 +#685 := [monotonicity #704 #541]: #684 +#682 := [trans #685 #687]: #681 +#689 := [monotonicity #682]: #688 +#690 := [trans #689 #704]: #683 +#521 := [monotonicity #690]: #519 +#675 := [trans #521 #692]: #522 +#678 := [monotonicity #675]: #676 +#693 := (iff #520 #73) +#697 := (= #390 #70) +#695 := (= #390 #694) +#701 := (= #733 0::Int) +#703 := (= #733 #727) +#424 := (= #731 0::Int) +#702 := [rewrite]: #424 +#418 := [monotonicity #702]: #703 +#705 := [trans #418 #704]: #701 +#696 := [monotonicity #705]: #695 +#698 := [trans #696 #692]: #697 +#699 := [monotonicity #698]: #693 +#422 := (iff #396 false) +#706 := (or false false) +#711 := (iff #706 false) +#421 := [rewrite]: #711 +#710 := (iff #396 #706) +#431 := (iff #417 false) +#724 := (not true) +#725 := (iff #724 false) +#723 := [rewrite]: #725 +#708 := (iff #417 #724) +#438 := (iff #413 true) +#718 := (or true true) +#715 := (iff #718 true) +#721 := [rewrite]: #715 +#436 := (iff #413 #718) +#716 := (iff #403 true) +#717 := [rewrite]: #716 +#713 := (iff #416 true) +#435 := [rewrite]: #713 +#437 := [monotonicity #435 #717]: #436 +#332 := [trans #437 #721]: #438 +#709 := [monotonicity #332]: #708 +#432 := [trans #709 #723]: #431 +#726 := (iff #415 false) +#364 := (iff #415 #724) +#359 := (iff #414 true) +#719 := (iff #414 #718) +#379 := (iff #412 true) +#380 := [rewrite]: #379 +#720 := [monotonicity #380 #717]: #719 +#722 := [trans #720 #721]: #359 +#365 := [monotonicity #722]: #364 +#712 := [trans #365 #723]: #726 +#707 := [monotonicity #712 #432]: #710 +#423 := [trans #707 #421]: #422 +#680 := [monotonicity #423 #699 #678]: #677 +#523 := [trans #680 #563]: #564 +#377 := (iff #411 true) +#729 := (or true false) +#373 := (iff #729 true) +#714 := [rewrite]: #373 +#389 := (iff #411 #729) +#388 := (iff #410 false) +#393 := [rewrite]: #388 +#738 := (iff #326 true) +#728 := [rewrite]: #738 +#730 := [monotonicity #728 #393]: #389 +#378 := [trans #730 #714]: #377 +#668 := [monotonicity #378 #523]: #573 +#572 := [trans #668 #672]: #557 +#578 := [monotonicity #572]: #577 +#673 := [trans #578 #580]: #577 +#576 := [quant-inst #8 #67]: #568 +#670 := [mp #576 #673]: #575 +[unit-resolution #670 #81 #745]: false +unsat +1919ef46c663d3b5ae90ef3cb3a4aa4abba7ea65 297 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -28039,99 +26090,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#695 := (pattern #17) +#739 := (pattern #17) #18 := 0::Int -#54 := -1::Int -#96 := (* -1::Int #16) -#93 := (* -1::Int #14) -#99 := (div #93 #96) -#255 := (* -1::Int #99) -#256 := (+ #17 #255) -#257 := (= #256 0::Int) +#67 := -1::Int +#84 := (* -1::Int #16) +#80 := (* -1::Int #14) +#87 := (div #80 #84) +#238 := (* -1::Int #87) +#239 := (+ #17 #238) +#240 := (= #239 0::Int) #28 := (div #14 #16) -#252 := (* -1::Int #28) -#253 := (+ #17 #252) -#254 := (= #253 0::Int) -#71 := (<= #16 0::Int) -#162 := (>= #14 0::Int) -#215 := (or #162 #71) -#216 := (not #215) -#67 := (<= #14 0::Int) -#211 := (or #67 #71) -#212 := (not #211) -#219 := (or #212 #216) -#258 := (if #219 #254 #257) -#251 := (= #17 0::Int) +#235 := (* -1::Int #28) +#236 := (+ #17 #235) +#237 := (= #236 0::Int) +#106 := (<= #16 0::Int) +#113 := (>= #14 0::Int) +#198 := (or #113 #106) +#199 := (not #198) +#102 := (<= #14 0::Int) +#196 := (or #102 #106) +#197 := (not #196) +#202 := (or #197 #199) +#241 := (if #202 #237 #240) +#234 := (= #17 0::Int) #20 := (= #16 0::Int) #19 := (= #14 0::Int) #21 := (or #19 #20) -#259 := (if #21 #251 #258) -#696 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #695) #259) -#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) -#699 := (iff #262 #696) -#697 := (iff #259 #259) -#698 := [refl]: #697 -#700 := [quant-intro #698]: #699 -#222 := (if #219 #28 #99) -#225 := (if #21 0::Int #222) -#228 := (= #17 #225) -#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) -#263 := (iff #231 #262) -#260 := (iff #228 #259) -#261 := [rewrite]: #260 -#264 := [quant-intro #261]: #263 -#72 := (not #71) -#165 := (not #162) -#168 := (and #165 #72) -#68 := (not #67) -#75 := (and #68 #72) -#171 := (or #75 #168) -#174 := (if #171 #28 #99) -#177 := (if #21 0::Int #174) -#180 := (= #17 #177) -#183 := (forall (vars (?v0 Int) (?v1 Int)) #180) -#232 := (iff #183 #231) -#229 := (iff #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#218 := [rewrite]: #217 -#213 := (iff #75 #212) -#214 := [rewrite]: #213 -#221 := [monotonicity #214 #218]: #220 -#224 := [monotonicity #221]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [quant-intro #230]: #232 -#160 := (~ #183 #183) -#203 := (~ #180 #180) -#204 := [refl]: #203 -#161 := [nnf-pos #204]: #160 -#78 := (<= 0::Int #14) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#102 := (if #90 #28 #99) -#105 := (if #21 0::Int #102) -#108 := (= #17 #105) -#111 := (forall (vars (?v0 Int) (?v1 Int)) #108) -#184 := (iff #111 #183) -#181 := (iff #108 #180) -#178 := (= #105 #177) -#175 := (= #102 #174) -#172 := (iff #90 #171) -#169 := (iff #87 #168) -#166 := (iff #79 #165) -#163 := (iff #78 #162) -#164 := [rewrite]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [quant-intro #182]: #184 +#242 := (if #21 #234 #241) +#740 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #739) #242) +#245 := (forall (vars (?v0 Int) (?v1 Int)) #242) +#743 := (iff #245 #740) +#741 := (iff #242 #242) +#742 := [refl]: #741 +#744 := [quant-intro #742]: #743 +#205 := (if #202 #28 #87) +#208 := (if #21 0::Int #205) +#211 := (= #17 #208) +#214 := (forall (vars (?v0 Int) (?v1 Int)) #211) +#246 := (iff #214 #245) +#243 := (iff #211 #242) +#244 := [rewrite]: #243 +#247 := [quant-intro #244]: #246 +#107 := (not #106) +#114 := (not #113) +#117 := (and #114 #107) +#103 := (not #102) +#110 := (and #103 #107) +#120 := (or #110 #117) +#123 := (if #120 #28 #87) +#126 := (if #21 0::Int #123) +#129 := (= #17 #126) +#132 := (forall (vars (?v0 Int) (?v1 Int)) #129) +#215 := (iff #132 #214) +#212 := (iff #129 #211) +#209 := (= #126 #208) +#206 := (= #123 #205) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#201 := [rewrite]: #200 +#190 := (iff #110 #197) +#191 := [rewrite]: #190 +#204 := [monotonicity #191 #201]: #203 +#207 := [monotonicity #204]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [quant-intro #213]: #215 +#194 := (~ #132 #132) +#192 := (~ #129 #129) +#193 := [refl]: #192 +#195 := [nnf-pos #193]: #194 #30 := (- #16) #29 := (- #14) #31 := (div #29 #30) @@ -28145,205 +26172,213 @@ #33 := (if #21 0::Int #32) #34 := (= #17 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#112 := (iff #35 #111) -#109 := (iff #34 #108) -#106 := (= #33 #105) -#103 := (= #32 #102) -#100 := (= #31 #99) -#97 := (= #30 #96) -#98 := [rewrite]: #97 -#94 := (= #29 #93) -#95 := [rewrite]: #94 -#101 := [monotonicity #95 #98]: #100 -#91 := (iff #27 #90) -#88 := (iff #26 #87) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#80 := (iff #25 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) +#135 := (iff #35 #132) +#90 := (if #27 #28 #87) +#93 := (if #21 0::Int #90) +#96 := (= #17 #93) +#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) +#133 := (iff #99 #132) +#130 := (iff #96 #129) +#127 := (= #93 #126) +#124 := (= #90 #123) +#121 := (iff #27 #120) +#118 := (iff #26 #117) +#108 := (iff #23 #107) +#109 := [rewrite]: #108 +#115 := (iff #25 #114) +#116 := [rewrite]: #115 +#119 := [monotonicity #116 #109]: #118 +#111 := (iff #24 #110) +#104 := (iff #22 #103) +#105 := [rewrite]: #104 +#112 := [monotonicity #105 #109]: #111 +#122 := [monotonicity #112 #119]: #121 +#125 := [monotonicity #122]: #124 +#128 := [monotonicity #125]: #127 +#131 := [monotonicity #128]: #130 +#134 := [quant-intro #131]: #133 +#100 := (iff #35 #99) +#97 := (iff #34 #96) +#94 := (= #33 #93) +#91 := (= #32 #90) +#88 := (= #31 #87) +#85 := (= #30 #84) +#86 := [rewrite]: #85 +#82 := (= #29 #80) #83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #24 #75) -#69 := (iff #22 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#104 := [monotonicity #92 #101]: #103 -#107 := [monotonicity #104]: #106 -#110 := [monotonicity #107]: #109 -#113 := [quant-intro #110]: #112 -#49 := [asserted]: #35 -#114 := [mp #49 #113]: #111 -#186 := [mp #114 #185]: #183 -#207 := [mp~ #186 #161]: #183 -#234 := [mp #207 #233]: #231 -#265 := [mp #234 #264]: #262 -#701 := [mp #265 #700]: #696 +#89 := [monotonicity #83 #86]: #88 +#92 := [monotonicity #89]: #91 +#95 := [monotonicity #92]: #94 +#98 := [monotonicity #95]: #97 +#101 := [quant-intro #98]: #100 +#136 := [trans #101 #134]: #135 +#79 := [asserted]: #35 +#137 := [mp #79 #136]: #132 +#186 := [mp~ #137 #195]: #132 +#217 := [mp #186 #216]: #214 +#248 := [mp #217 #247]: #245 +#745 := [mp #248 #744]: #740 #8 := 1::Int #9 := (f4 f5 1::Int) -#57 := (f3 #9 -1::Int) -#60 := (= #57 -1::Int) -#63 := (not #60) +#70 := (f3 #9 -1::Int) +#73 := (= #70 -1::Int) +#76 := (not #73) #10 := (- 1::Int) #11 := (f3 #9 #10) #12 := (= #11 #10) #13 := (not #12) -#64 := (iff #13 #63) -#61 := (iff #12 #60) -#55 := (= #10 -1::Int) -#56 := [rewrite]: #55 -#58 := (= #11 #57) -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59 #56]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #13 -#66 := [mp #48 #65]: #63 -#626 := (not #696) -#630 := (or #626 #60) -#358 := (* -1::Int -1::Int) -#357 := (* -1::Int 1::Int) -#690 := (div #357 #358) -#691 := (* -1::Int #690) -#692 := (+ #57 #691) -#693 := (= #692 0::Int) -#689 := (div 1::Int -1::Int) -#346 := (* -1::Int #689) -#476 := (+ #57 #346) -#683 := (= #476 0::Int) -#370 := (<= -1::Int 0::Int) -#369 := (>= 1::Int 0::Int) -#373 := (or #369 #370) -#352 := (not #373) -#359 := (<= 1::Int 0::Int) -#371 := (or #359 #370) -#372 := (not #371) -#687 := (or #372 #352) -#688 := (if #687 #683 #693) -#368 := (= #57 0::Int) -#366 := (= -1::Int 0::Int) -#282 := (= 1::Int 0::Int) -#367 := (or #282 #366) -#694 := (if #367 #368 #688) -#617 := (or #626 #694) -#611 := (iff #617 #630) -#610 := (iff #630 #630) -#620 := [rewrite]: #610 -#536 := (iff #694 #60) -#524 := (if false #368 #60) -#534 := (iff #524 #60) -#535 := [rewrite]: #534 -#532 := (iff #694 #524) -#530 := (iff #688 #60) -#624 := (if false #60 #60) -#513 := (iff #624 #60) -#528 := [rewrite]: #513 -#625 := (iff #688 #624) -#627 := (iff #693 #60) -#648 := (+ 1::Int #57) -#496 := (= #648 0::Int) -#640 := (iff #496 #60) -#641 := [rewrite]: #640 -#520 := (iff #693 #496) -#518 := (= #692 #648) -#651 := (+ #57 1::Int) -#653 := (= #651 #648) -#654 := [rewrite]: #653 -#633 := (= #692 #651) -#634 := (= #691 1::Int) -#660 := (= #358 1::Int) -#657 := [rewrite]: #660 -#631 := (= #691 #358) -#477 := (= #690 -1::Int) -#644 := (div -1::Int 1::Int) -#646 := (= #644 -1::Int) -#475 := [rewrite]: #646 -#645 := (= #690 #644) -#637 := (= #357 -1::Int) -#638 := [rewrite]: #637 -#639 := [monotonicity #638 #657]: #645 -#478 := [trans #639 #475]: #477 -#632 := [monotonicity #478]: #631 -#635 := [trans #632 #657]: #634 -#636 := [monotonicity #635]: #633 -#519 := [trans #636 #654]: #518 -#479 := [monotonicity #519]: #520 -#529 := [trans #479 #641]: #627 -#642 := (iff #683 #60) -#497 := (iff #683 #496) -#649 := (= #476 #648) -#652 := (= #476 #651) -#661 := (= #346 1::Int) -#374 := (= #346 #358) -#658 := (= #689 -1::Int) -#659 := [rewrite]: #658 -#656 := [monotonicity #659]: #374 -#650 := [trans #656 #657]: #661 -#647 := [monotonicity #650]: #652 -#655 := [trans #647 #654]: #649 -#498 := [monotonicity #655]: #497 -#643 := [trans #498 #641]: #642 -#379 := (iff #687 false) -#345 := (or false false) -#670 := (iff #345 false) -#333 := [rewrite]: #670 -#377 := (iff #687 #345) -#663 := (iff #352 false) -#1 := true -#320 := (not true) -#679 := (iff #320 false) -#682 := [rewrite]: #679 -#662 := (iff #352 #320) -#387 := (iff #373 true) -#393 := (or true true) -#664 := (iff #393 true) -#665 := [rewrite]: #664 -#394 := (iff #373 #393) -#673 := (iff #370 true) -#674 := [rewrite]: #673 -#391 := (iff #369 true) -#392 := [rewrite]: #391 -#288 := [monotonicity #392 #674]: #394 -#388 := [trans #288 #665]: #387 -#666 := [monotonicity #388]: #662 -#667 := [trans #666 #682]: #663 -#668 := (iff #372 false) -#321 := (iff #372 #320) -#678 := (iff #371 true) -#675 := (or false true) -#677 := (iff #675 true) -#315 := [rewrite]: #677 -#676 := (iff #371 #675) -#336 := (iff #359 false) -#672 := [rewrite]: #336 -#671 := [monotonicity #672 #674]: #676 -#680 := [trans #671 #315]: #678 -#681 := [monotonicity #680]: #321 -#669 := [trans #681 #682]: #668 -#378 := [monotonicity #669 #667]: #377 -#380 := [trans #378 #333]: #379 -#628 := [monotonicity #380 #643 #529]: #625 -#531 := [trans #628 #528]: #530 -#334 := (iff #367 false) -#686 := (iff #367 #345) -#349 := (iff #366 false) -#685 := [rewrite]: #349 -#684 := (iff #282 false) -#344 := [rewrite]: #684 -#329 := [monotonicity #344 #685]: #686 -#335 := [trans #329 #333]: #334 -#533 := [monotonicity #335 #531]: #532 -#629 := [trans #533 #535]: #536 -#608 := [monotonicity #629]: #611 -#621 := [trans #608 #620]: #611 -#619 := [quant-inst #8 #54]: #617 -#622 := [mp #619 #621]: #630 -[unit-resolution #622 #66 #701]: false -4a771fcb3bc990f914da773b60610eba4dcd1715 321 0 -unsat +#77 := (iff #13 #76) +#74 := (iff #12 #73) +#68 := (= #10 -1::Int) +#69 := [rewrite]: #68 +#71 := (= #11 #70) +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72 #69]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #13 +#81 := [mp #66 #78]: #76 +#670 := (not #740) +#674 := (or #670 #73) +#402 := (* -1::Int -1::Int) +#401 := (* -1::Int 1::Int) +#734 := (div #401 #402) +#735 := (* -1::Int #734) +#736 := (+ #70 #735) +#737 := (= #736 0::Int) +#733 := (div 1::Int -1::Int) +#390 := (* -1::Int #733) +#520 := (+ #70 #390) +#727 := (= #520 0::Int) +#414 := (<= -1::Int 0::Int) +#413 := (>= 1::Int 0::Int) +#417 := (or #413 #414) +#396 := (not #417) +#403 := (<= 1::Int 0::Int) +#415 := (or #403 #414) +#416 := (not #415) +#731 := (or #416 #396) +#732 := (if #731 #727 #737) +#412 := (= #70 0::Int) +#410 := (= -1::Int 0::Int) +#326 := (= 1::Int 0::Int) +#411 := (or #326 #410) +#738 := (if #411 #412 #732) +#661 := (or #670 #738) +#655 := (iff #661 #674) +#654 := (iff #674 #674) +#664 := [rewrite]: #654 +#580 := (iff #738 #73) +#568 := (if false #412 #73) +#578 := (iff #568 #73) +#579 := [rewrite]: #578 +#576 := (iff #738 #568) +#574 := (iff #732 #73) +#668 := (if false #73 #73) +#557 := (iff #668 #73) +#572 := [rewrite]: #557 +#669 := (iff #732 #668) +#671 := (iff #737 #73) +#692 := (+ 1::Int #70) +#540 := (= #692 0::Int) +#684 := (iff #540 #73) +#685 := [rewrite]: #684 +#564 := (iff #737 #540) +#562 := (= #736 #692) +#695 := (+ #70 1::Int) +#697 := (= #695 #692) +#698 := [rewrite]: #697 +#677 := (= #736 #695) +#678 := (= #735 1::Int) +#704 := (= #402 1::Int) +#701 := [rewrite]: #704 +#675 := (= #735 #402) +#521 := (= #734 -1::Int) +#688 := (div -1::Int 1::Int) +#690 := (= #688 -1::Int) +#519 := [rewrite]: #690 +#689 := (= #734 #688) +#681 := (= #401 -1::Int) +#682 := [rewrite]: #681 +#683 := [monotonicity #682 #701]: #689 +#522 := [trans #683 #519]: #521 +#676 := [monotonicity #522]: #675 +#679 := [trans #676 #701]: #678 +#680 := [monotonicity #679]: #677 +#563 := [trans #680 #698]: #562 +#523 := [monotonicity #563]: #564 +#573 := [trans #523 #685]: #671 +#686 := (iff #727 #73) +#541 := (iff #727 #540) +#693 := (= #520 #692) +#696 := (= #520 #695) +#705 := (= #390 1::Int) +#418 := (= #390 #402) +#702 := (= #733 -1::Int) +#703 := [rewrite]: #702 +#700 := [monotonicity #703]: #418 +#694 := [trans #700 #701]: #705 +#691 := [monotonicity #694]: #696 +#699 := [trans #691 #698]: #693 +#542 := [monotonicity #699]: #541 +#687 := [trans #542 #685]: #686 +#423 := (iff #731 false) +#389 := (or false false) +#714 := (iff #389 false) +#377 := [rewrite]: #714 +#421 := (iff #731 #389) +#707 := (iff #396 false) +#1 := true +#364 := (not true) +#723 := (iff #364 false) +#726 := [rewrite]: #723 +#706 := (iff #396 #364) +#431 := (iff #417 true) +#437 := (or true true) +#708 := (iff #437 true) +#709 := [rewrite]: #708 +#438 := (iff #417 #437) +#717 := (iff #414 true) +#718 := [rewrite]: #717 +#435 := (iff #413 true) +#436 := [rewrite]: #435 +#332 := [monotonicity #436 #718]: #438 +#432 := [trans #332 #709]: #431 +#710 := [monotonicity #432]: #706 +#711 := [trans #710 #726]: #707 +#712 := (iff #416 false) +#365 := (iff #416 #364) +#722 := (iff #415 true) +#719 := (or false true) +#721 := (iff #719 true) +#359 := [rewrite]: #721 +#720 := (iff #415 #719) +#380 := (iff #403 false) +#716 := [rewrite]: #380 +#715 := [monotonicity #716 #718]: #720 +#724 := [trans #715 #359]: #722 +#725 := [monotonicity #724]: #365 +#713 := [trans #725 #726]: #712 +#422 := [monotonicity #713 #711]: #421 +#424 := [trans #422 #377]: #423 +#672 := [monotonicity #424 #687 #573]: #669 +#575 := [trans #672 #572]: #574 +#378 := (iff #411 false) +#730 := (iff #411 #389) +#393 := (iff #410 false) +#729 := [rewrite]: #393 +#728 := (iff #326 false) +#388 := [rewrite]: #728 +#373 := [monotonicity #388 #729]: #730 +#379 := [trans #373 #377]: #378 +#577 := [monotonicity #379 #575]: #576 +#673 := [trans #577 #579]: #580 +#652 := [monotonicity #673]: #655 +#665 := [trans #652 #664]: #655 +#663 := [quant-inst #8 #67]: #661 +#666 := [mp #663 #665]: #674 +[unit-resolution #666 #81 #745]: false +unsat +baa666ada000b9422ae7630b704989505cee3646 305 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -28353,99 +26388,75 @@ #7 := f5 #17 := (f4 f5 #16) #19 := (f3 #17 #18) -#700 := (pattern #19) +#743 := (pattern #19) #20 := 0::Int -#56 := -1::Int -#101 := (* -1::Int #18) -#98 := (* -1::Int #16) -#104 := (div #98 #101) -#260 := (* -1::Int #104) -#261 := (+ #19 #260) -#262 := (= #261 0::Int) +#69 := -1::Int +#89 := (* -1::Int #18) +#85 := (* -1::Int #16) +#92 := (div #85 #89) +#243 := (* -1::Int #92) +#244 := (+ #19 #243) +#245 := (= #244 0::Int) #30 := (div #16 #18) -#257 := (* -1::Int #30) -#258 := (+ #19 #257) -#259 := (= #258 0::Int) -#76 := (<= #18 0::Int) -#167 := (>= #16 0::Int) -#220 := (or #167 #76) -#221 := (not #220) -#72 := (<= #16 0::Int) -#216 := (or #72 #76) -#217 := (not #216) -#224 := (or #217 #221) -#263 := (if #224 #259 #262) -#256 := (= #19 0::Int) +#240 := (* -1::Int #30) +#241 := (+ #19 #240) +#242 := (= #241 0::Int) +#111 := (<= #18 0::Int) +#118 := (>= #16 0::Int) +#203 := (or #118 #111) +#204 := (not #203) +#107 := (<= #16 0::Int) +#201 := (or #107 #111) +#202 := (not #201) +#207 := (or #202 #204) +#246 := (if #207 #242 #245) +#239 := (= #19 0::Int) #22 := (= #18 0::Int) #21 := (= #16 0::Int) #23 := (or #21 #22) -#264 := (if #23 #256 #263) -#701 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #700) #264) -#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) -#704 := (iff #267 #701) -#702 := (iff #264 #264) -#703 := [refl]: #702 -#705 := [quant-intro #703]: #704 -#227 := (if #224 #30 #104) -#230 := (if #23 0::Int #227) -#233 := (= #19 #230) -#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) -#268 := (iff #236 #267) -#265 := (iff #233 #264) -#266 := [rewrite]: #265 -#269 := [quant-intro #266]: #268 -#77 := (not #76) -#170 := (not #167) -#173 := (and #170 #77) -#73 := (not #72) -#80 := (and #73 #77) -#176 := (or #80 #173) -#179 := (if #176 #30 #104) -#182 := (if #23 0::Int #179) -#185 := (= #19 #182) -#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) -#237 := (iff #188 #236) -#234 := (iff #185 #233) -#231 := (= #182 #230) -#228 := (= #179 #227) -#225 := (iff #176 #224) -#222 := (iff #173 #221) -#223 := [rewrite]: #222 -#218 := (iff #80 #217) -#219 := [rewrite]: #218 -#226 := [monotonicity #219 #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [quant-intro #235]: #237 -#165 := (~ #188 #188) -#208 := (~ #185 #185) -#209 := [refl]: #208 -#166 := [nnf-pos #209]: #165 -#83 := (<= 0::Int #16) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#107 := (if #95 #30 #104) -#110 := (if #23 0::Int #107) -#113 := (= #19 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#189 := (iff #116 #188) -#186 := (iff #113 #185) -#183 := (= #110 #182) -#180 := (= #107 #179) -#177 := (iff #95 #176) -#174 := (iff #92 #173) -#171 := (iff #84 #170) -#168 := (iff #83 #167) -#169 := [rewrite]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [quant-intro #187]: #189 +#247 := (if #23 #239 #246) +#744 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #743) #247) +#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) +#747 := (iff #250 #744) +#745 := (iff #247 #247) +#746 := [refl]: #745 +#748 := [quant-intro #746]: #747 +#210 := (if #207 #30 #92) +#213 := (if #23 0::Int #210) +#216 := (= #19 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#251 := (iff #219 #250) +#248 := (iff #216 #247) +#249 := [rewrite]: #248 +#252 := [quant-intro #249]: #251 +#112 := (not #111) +#119 := (not #118) +#122 := (and #119 #112) +#108 := (not #107) +#115 := (and #108 #112) +#125 := (or #115 #122) +#128 := (if #125 #30 #92) +#131 := (if #23 0::Int #128) +#134 := (= #19 #131) +#137 := (forall (vars (?v0 Int) (?v1 Int)) #134) +#220 := (iff #137 #219) +#217 := (iff #134 #216) +#214 := (= #131 #213) +#211 := (= #128 #210) +#208 := (iff #125 #207) +#205 := (iff #122 #204) +#206 := [rewrite]: #205 +#195 := (iff #115 #202) +#196 := [rewrite]: #195 +#209 := [monotonicity #196 #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#199 := (~ #137 #137) +#197 := (~ #134 #134) +#198 := [refl]: #197 +#200 := [nnf-pos #198]: #199 #32 := (- #18) #31 := (- #16) #33 := (div #31 #32) @@ -28459,366 +26470,350 @@ #35 := (if #23 0::Int #34) #36 := (= #19 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#117 := (iff #37 #116) -#114 := (iff #36 #113) -#111 := (= #35 #110) -#108 := (= #34 #107) -#105 := (= #33 #104) -#102 := (= #32 #101) -#103 := [rewrite]: #102 -#99 := (= #31 #98) -#100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#96 := (iff #29 #95) -#93 := (iff #28 #92) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#85 := (iff #27 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) +#140 := (iff #37 #137) +#95 := (if #29 #30 #92) +#98 := (if #23 0::Int #95) +#101 := (= #19 #98) +#104 := (forall (vars (?v0 Int) (?v1 Int)) #101) +#138 := (iff #104 #137) +#135 := (iff #101 #134) +#132 := (= #98 #131) +#129 := (= #95 #128) +#126 := (iff #29 #125) +#123 := (iff #28 #122) +#113 := (iff #25 #112) +#114 := [rewrite]: #113 +#120 := (iff #27 #119) +#121 := [rewrite]: #120 +#124 := [monotonicity #121 #114]: #123 +#116 := (iff #26 #115) +#109 := (iff #24 #108) +#110 := [rewrite]: #109 +#117 := [monotonicity #110 #114]: #116 +#127 := [monotonicity #117 #124]: #126 +#130 := [monotonicity #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [quant-intro #136]: #138 +#105 := (iff #37 #104) +#102 := (iff #36 #101) +#99 := (= #35 #98) +#96 := (= #34 #95) +#93 := (= #33 #92) +#90 := (= #32 #89) +#91 := [rewrite]: #90 +#87 := (= #31 #85) #88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #26 #80) -#74 := (iff #24 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#109 := [monotonicity #97 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#51 := [asserted]: #37 -#119 := [mp #51 #118]: #116 -#191 := [mp #119 #190]: #188 -#210 := [mp~ #191 #166]: #188 -#239 := [mp #210 #238]: #236 -#270 := [mp #239 #269]: #267 -#706 := [mp #270 #705]: #701 -#62 := -3::Int +#94 := [monotonicity #88 #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [quant-intro #103]: #105 +#141 := [trans #106 #139]: #140 +#84 := [asserted]: #37 +#142 := [mp #84 #141]: #137 +#191 := [mp~ #142 #200]: #137 +#222 := [mp #191 #221]: #219 +#253 := [mp #222 #252]: #250 +#749 := [mp #253 #748]: #744 +#75 := -3::Int #8 := 3::Int #9 := (f4 f5 3::Int) -#59 := (f3 #9 -1::Int) -#65 := (= #59 -3::Int) -#68 := (not #65) +#72 := (f3 #9 -1::Int) +#78 := (= #72 -3::Int) +#81 := (not #78) #13 := (- 3::Int) #10 := 1::Int #11 := (- 1::Int) #12 := (f3 #9 #11) #14 := (= #12 #13) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #13 -3::Int) -#64 := [rewrite]: #63 -#60 := (= #12 #59) -#57 := (= #11 -1::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#624 := (not #701) -#616 := (or #624 #65) -#363 := (* -1::Int -1::Int) -#362 := (* -1::Int 3::Int) -#695 := (div #362 #363) -#696 := (* -1::Int #695) -#697 := (+ #59 #696) -#698 := (= #697 0::Int) -#694 := (div 3::Int -1::Int) -#351 := (* -1::Int #694) -#481 := (+ #59 #351) -#688 := (= #481 0::Int) -#375 := (<= -1::Int 0::Int) -#374 := (>= 3::Int 0::Int) -#378 := (or #374 #375) -#357 := (not #378) -#364 := (<= 3::Int 0::Int) -#376 := (or #364 #375) -#377 := (not #376) -#692 := (or #377 #357) -#693 := (if #692 #688 #698) -#373 := (= #59 0::Int) -#371 := (= -1::Int 0::Int) -#287 := (= 3::Int 0::Int) -#372 := (or #287 #371) -#699 := (if #372 #373 #693) -#613 := (or #624 #699) -#625 := (iff #613 #616) -#627 := (iff #616 #616) -#623 := [rewrite]: #627 -#635 := (iff #699 #65) -#539 := (if false #373 #65) -#634 := (iff #539 #65) -#631 := [rewrite]: #634 -#540 := (iff #699 #539) -#537 := (iff #693 #65) -#518 := (if false #65 #65) -#536 := (iff #518 #65) -#529 := [rewrite]: #536 -#533 := (iff #693 #518) -#630 := (iff #698 #65) -#658 := (+ 3::Int #59) -#502 := (= #658 0::Int) -#646 := (iff #502 #65) -#647 := [rewrite]: #646 -#534 := (iff #698 #502) -#484 := (= #697 #658) -#657 := (+ #59 3::Int) -#659 := (= #657 #658) -#654 := [rewrite]: #659 -#524 := (= #697 #657) -#641 := (= #696 3::Int) -#379 := (* -1::Int -3::Int) -#662 := (= #379 3::Int) -#666 := [rewrite]: #662 -#640 := (= #696 #379) -#637 := (= #695 -3::Int) -#651 := (div -3::Int 1::Int) -#483 := (= #651 -3::Int) -#636 := [rewrite]: #483 -#480 := (= #695 #651) -#650 := (= #363 1::Int) -#644 := [rewrite]: #650 -#643 := (= #362 -3::Int) -#649 := [rewrite]: #643 -#482 := [monotonicity #649 #644]: #480 -#639 := [trans #482 #636]: #637 -#638 := [monotonicity #639]: #640 -#523 := [trans #638 #666]: #641 -#525 := [monotonicity #523]: #524 -#632 := [trans #525 #654]: #484 -#629 := [monotonicity #632]: #534 -#633 := [trans #629 #647]: #630 -#648 := (iff #688 #65) -#503 := (iff #688 #502) -#660 := (= #481 #658) -#652 := (= #481 #657) -#655 := (= #351 3::Int) -#661 := (= #351 #379) -#663 := (= #694 -3::Int) -#664 := [rewrite]: #663 -#665 := [monotonicity #664]: #661 -#656 := [trans #665 #666]: #655 -#653 := [monotonicity #656]: #652 -#501 := [trans #653 #654]: #660 -#645 := [monotonicity #501]: #503 -#642 := [trans #645 #647]: #648 -#384 := (iff #692 false) -#350 := (or false false) -#675 := (iff #350 false) -#338 := [rewrite]: #675 -#382 := (iff #692 #350) -#668 := (iff #357 false) -#1 := true -#325 := (not true) -#684 := (iff #325 false) -#687 := [rewrite]: #684 -#667 := (iff #357 #325) -#392 := (iff #378 true) -#398 := (or true true) -#669 := (iff #398 true) -#670 := [rewrite]: #669 -#399 := (iff #378 #398) -#678 := (iff #375 true) -#679 := [rewrite]: #678 -#396 := (iff #374 true) -#397 := [rewrite]: #396 -#293 := [monotonicity #397 #679]: #399 -#393 := [trans #293 #670]: #392 -#671 := [monotonicity #393]: #667 -#672 := [trans #671 #687]: #668 -#673 := (iff #377 false) -#326 := (iff #377 #325) -#683 := (iff #376 true) -#680 := (or false true) -#682 := (iff #680 true) -#320 := [rewrite]: #682 -#681 := (iff #376 #680) -#341 := (iff #364 false) -#677 := [rewrite]: #341 -#676 := [monotonicity #677 #679]: #681 -#685 := [trans #676 #320]: #683 -#686 := [monotonicity #685]: #326 -#674 := [trans #686 #687]: #673 -#383 := [monotonicity #674 #672]: #382 -#385 := [trans #383 #338]: #384 -#535 := [monotonicity #385 #642 #633]: #533 -#538 := [trans #535 #529]: #537 -#339 := (iff #372 false) -#691 := (iff #372 #350) -#354 := (iff #371 false) -#690 := [rewrite]: #354 -#689 := (iff #287 false) -#349 := [rewrite]: #689 -#334 := [monotonicity #349 #690]: #691 -#340 := [trans #334 #338]: #339 -#541 := [monotonicity #340 #538]: #540 -#622 := [trans #541 #631]: #635 -#626 := [monotonicity #622]: #625 -#628 := [trans #626 #623]: #625 -#615 := [quant-inst #8 #56]: #613 -#617 := [mp #615 #628]: #616 -[unit-resolution #617 #71 #706]: false -fa2287cb3b9cb63c17ef33b8c249637d75072d26 364 0 -unsat +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #13 -3::Int) +#77 := [rewrite]: #76 +#73 := (= #12 #72) +#70 := (= #11 -1::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#68 := [asserted]: #15 +#86 := [mp #68 #83]: #81 +#667 := (not #744) +#659 := (or #667 #78) +#406 := (* -1::Int -1::Int) +#405 := (* -1::Int 3::Int) +#738 := (div #405 #406) +#739 := (* -1::Int #738) +#740 := (+ #72 #739) +#741 := (= #740 0::Int) +#737 := (div 3::Int -1::Int) +#394 := (* -1::Int #737) +#524 := (+ #72 #394) +#731 := (= #524 0::Int) +#418 := (<= -1::Int 0::Int) +#417 := (>= 3::Int 0::Int) +#421 := (or #417 #418) +#400 := (not #421) +#407 := (<= 3::Int 0::Int) +#419 := (or #407 #418) +#420 := (not #419) +#735 := (or #420 #400) +#736 := (if #735 #731 #741) +#416 := (= #72 0::Int) +#414 := (= -1::Int 0::Int) +#330 := (= 3::Int 0::Int) +#415 := (or #330 #414) +#742 := (if #415 #416 #736) +#656 := (or #667 #742) +#668 := (iff #656 #659) +#670 := (iff #659 #659) +#666 := [rewrite]: #670 +#678 := (iff #742 #78) +#582 := (if false #416 #78) +#677 := (iff #582 #78) +#674 := [rewrite]: #677 +#583 := (iff #742 #582) +#580 := (iff #736 #78) +#561 := (if false #78 #78) +#579 := (iff #561 #78) +#572 := [rewrite]: #579 +#576 := (iff #736 #561) +#673 := (iff #741 #78) +#701 := (+ 3::Int #72) +#545 := (= #701 0::Int) +#689 := (iff #545 #78) +#690 := [rewrite]: #689 +#577 := (iff #741 #545) +#527 := (= #740 #701) +#700 := (+ #72 3::Int) +#702 := (= #700 #701) +#697 := [rewrite]: #702 +#567 := (= #740 #700) +#684 := (= #739 3::Int) +#422 := (* -1::Int -3::Int) +#705 := (= #422 3::Int) +#709 := [rewrite]: #705 +#683 := (= #739 #422) +#680 := (= #738 -3::Int) +#694 := (div -3::Int 1::Int) +#526 := (= #694 -3::Int) +#679 := [rewrite]: #526 +#523 := (= #738 #694) +#693 := (= #406 1::Int) +#687 := [rewrite]: #693 +#686 := (= #405 -3::Int) +#692 := [rewrite]: #686 +#525 := [monotonicity #692 #687]: #523 +#682 := [trans #525 #679]: #680 +#681 := [monotonicity #682]: #683 +#566 := [trans #681 #709]: #684 +#568 := [monotonicity #566]: #567 +#675 := [trans #568 #697]: #527 +#672 := [monotonicity #675]: #577 +#676 := [trans #672 #690]: #673 +#691 := (iff #731 #78) +#546 := (iff #731 #545) +#703 := (= #524 #701) +#695 := (= #524 #700) +#698 := (= #394 3::Int) +#704 := (= #394 #422) +#706 := (= #737 -3::Int) +#707 := [rewrite]: #706 +#708 := [monotonicity #707]: #704 +#699 := [trans #708 #709]: #698 +#696 := [monotonicity #699]: #695 +#544 := [trans #696 #697]: #703 +#688 := [monotonicity #544]: #546 +#685 := [trans #688 #690]: #691 +#427 := (iff #735 false) +#393 := (or false false) +#718 := (iff #393 false) +#381 := [rewrite]: #718 +#425 := (iff #735 #393) +#711 := (iff #400 false) +#1 := true +#368 := (not true) +#727 := (iff #368 false) +#730 := [rewrite]: #727 +#710 := (iff #400 #368) +#435 := (iff #421 true) +#441 := (or true true) +#712 := (iff #441 true) +#713 := [rewrite]: #712 +#442 := (iff #421 #441) +#721 := (iff #418 true) +#722 := [rewrite]: #721 +#439 := (iff #417 true) +#440 := [rewrite]: #439 +#336 := [monotonicity #440 #722]: #442 +#436 := [trans #336 #713]: #435 +#714 := [monotonicity #436]: #710 +#715 := [trans #714 #730]: #711 +#716 := (iff #420 false) +#369 := (iff #420 #368) +#726 := (iff #419 true) +#723 := (or false true) +#725 := (iff #723 true) +#363 := [rewrite]: #725 +#724 := (iff #419 #723) +#384 := (iff #407 false) +#720 := [rewrite]: #384 +#719 := [monotonicity #720 #722]: #724 +#728 := [trans #719 #363]: #726 +#729 := [monotonicity #728]: #369 +#717 := [trans #729 #730]: #716 +#426 := [monotonicity #717 #715]: #425 +#428 := [trans #426 #381]: #427 +#578 := [monotonicity #428 #685 #676]: #576 +#581 := [trans #578 #572]: #580 +#382 := (iff #415 false) +#734 := (iff #415 #393) +#397 := (iff #414 false) +#733 := [rewrite]: #397 +#732 := (iff #330 false) +#392 := [rewrite]: #732 +#377 := [monotonicity #392 #733]: #734 +#383 := [trans #377 #381]: #382 +#584 := [monotonicity #383 #581]: #583 +#665 := [trans #584 #674]: #678 +#669 := [monotonicity #665]: #668 +#671 := [trans #669 #666]: #668 +#658 := [quant-inst #8 #69]: #656 +#660 := [mp #658 #671]: #659 +[unit-resolution #660 #86 #749]: false +unsat +b30615473f23884eeaa7af098b5437e95d4b87b1 349 0 #2 := false #20 := 0::Int #10 := 1::Int decl f6 :: Int #8 := f6 -#56 := -1::Int -#62 := (* -1::Int f6) -#671 := (div #62 1::Int) -#669 := (* -1::Int #671) +#69 := -1::Int +#75 := (* -1::Int f6) +#716 := (div #75 1::Int) +#714 := (* -1::Int #716) decl f3 :: (-> S2 Int Int) decl f4 :: (-> S3 Int S2) decl f5 :: S3 #7 := f5 #9 := (f4 f5 f6) -#59 := (f3 #9 -1::Int) -#674 := (+ #59 #669) -#648 := (<= #674 0::Int) -#665 := (= #674 0::Int) -#380 := (= f6 0::Int) -#531 := (not #380) -#384 := (<= f6 0::Int) -#635 := [hypothesis]: #380 -#631 := (or #531 #384) -#636 := [th-lemma arith triangle-eq]: #631 -#625 := [unit-resolution #636 #635]: #384 -#167 := (+ f6 #59) -#295 := (<= #167 0::Int) -#626 := (not #295) -#379 := (>= #167 0::Int) -#365 := (>= f6 0::Int) -#641 := (not #665) -#646 := (>= #674 0::Int) -#578 := (not #646) -#587 := (not #379) -#588 := [hypothesis]: #587 -#579 := (or #578 #379) -#586 := [hypothesis]: #646 -#622 := (+ f6 #671) -#619 := (>= #622 0::Int) -#629 := (= #622 0::Int) -#1 := true -#164 := [true-axiom]: true -#589 := (or false #629) -#590 := [th-lemma arith]: #589 -#585 := [unit-resolution #590 #164]: #629 -#591 := (not #629) -#577 := (or #591 #619) -#573 := [th-lemma arith triangle-eq]: #577 -#574 := [unit-resolution #573 #585]: #619 -#575 := [th-lemma arith farkas 1 -1 1 #574 #588 #586]: false -#580 := [lemma #575]: #579 -#545 := [unit-resolution #580 #588]: #578 -#549 := (or #641 #646) -#546 := [th-lemma arith triangle-eq]: #549 -#547 := [unit-resolution #546 #545]: #641 -#639 := (or #380 #665) -#383 := (= #59 0::Int) -#653 := (if #380 #383 #665) +#72 := (f3 #9 -1::Int) +#719 := (+ #72 #714) +#693 := (<= #719 0::Int) +#710 := (= #719 0::Int) +#425 := (= f6 0::Int) +#576 := (not #425) +#429 := (<= f6 0::Int) +#617 := [hypothesis]: #425 +#597 := (or #576 #429) +#543 := [th-lemma arith triangle-eq]: #597 +#598 := [unit-resolution #543 #617]: #429 +#84 := (+ f6 #72) +#340 := (<= #84 0::Int) +#579 := (not #340) +#424 := (>= #84 0::Int) +#410 := (>= f6 0::Int) +#686 := (not #710) +#691 := (>= #719 0::Int) +#623 := (not #691) +#632 := (not #424) +#633 := [hypothesis]: #632 +#624 := (or #623 #424) +#631 := [hypothesis]: #691 +#667 := (+ f6 #716) +#664 := (>= #667 0::Int) +#674 := (= #667 0::Int) +#1 := true +#66 := [true-axiom]: true +#634 := (or false #674) +#635 := [th-lemma arith]: #634 +#630 := [unit-resolution #635 #66]: #674 +#636 := (not #674) +#622 := (or #636 #664) +#618 := [th-lemma arith triangle-eq]: #622 +#619 := [unit-resolution #618 #630]: #664 +#620 := [th-lemma arith farkas 1 -1 1 #619 #633 #631]: false +#625 := [lemma #620]: #624 +#663 := [unit-resolution #625 #633]: #623 +#626 := (or #686 #691) +#621 := [th-lemma arith triangle-eq]: #626 +#627 := [unit-resolution #621 #663]: #686 +#601 := (or #425 #710) +#428 := (= #72 0::Int) +#698 := (if #425 #428 #710) #18 := (:var 0 Int) #16 := (:var 1 Int) #17 := (f4 f5 #16) #19 := (f3 #17 #18) -#708 := (pattern #19) -#101 := (* -1::Int #18) -#98 := (* -1::Int #16) -#104 := (div #98 #101) -#268 := (* -1::Int #104) -#269 := (+ #19 #268) -#270 := (= #269 0::Int) +#753 := (pattern #19) +#98 := (* -1::Int #18) +#95 := (* -1::Int #16) +#101 := (div #95 #98) +#252 := (* -1::Int #101) +#253 := (+ #19 #252) +#254 := (= #253 0::Int) #30 := (div #16 #18) -#265 := (* -1::Int #30) -#266 := (+ #19 #265) -#267 := (= #266 0::Int) -#76 := (<= #18 0::Int) -#175 := (>= #16 0::Int) -#228 := (or #175 #76) -#229 := (not #228) -#72 := (<= #16 0::Int) -#224 := (or #72 #76) -#225 := (not #224) -#232 := (or #225 #229) -#271 := (if #232 #267 #270) -#264 := (= #19 0::Int) +#249 := (* -1::Int #30) +#250 := (+ #19 #249) +#251 := (= #250 0::Int) +#120 := (<= #18 0::Int) +#127 := (>= #16 0::Int) +#212 := (or #127 #120) +#213 := (not #212) +#116 := (<= #16 0::Int) +#210 := (or #116 #120) +#211 := (not #210) +#216 := (or #211 #213) +#255 := (if #216 #251 #254) +#248 := (= #19 0::Int) #22 := (= #18 0::Int) #21 := (= #16 0::Int) #23 := (or #21 #22) -#272 := (if #23 #264 #271) -#709 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #708) #272) -#275 := (forall (vars (?v0 Int) (?v1 Int)) #272) -#712 := (iff #275 #709) -#710 := (iff #272 #272) -#711 := [refl]: #710 -#713 := [quant-intro #711]: #712 -#235 := (if #232 #30 #104) -#238 := (if #23 0::Int #235) -#241 := (= #19 #238) -#244 := (forall (vars (?v0 Int) (?v1 Int)) #241) -#276 := (iff #244 #275) -#273 := (iff #241 #272) -#274 := [rewrite]: #273 -#277 := [quant-intro #274]: #276 -#77 := (not #76) -#178 := (not #175) -#181 := (and #178 #77) -#73 := (not #72) -#80 := (and #73 #77) -#184 := (or #80 #181) -#187 := (if #184 #30 #104) -#190 := (if #23 0::Int #187) -#193 := (= #19 #190) -#196 := (forall (vars (?v0 Int) (?v1 Int)) #193) -#245 := (iff #196 #244) -#242 := (iff #193 #241) -#239 := (= #190 #238) -#236 := (= #187 #235) -#233 := (iff #184 #232) -#230 := (iff #181 #229) -#231 := [rewrite]: #230 -#226 := (iff #80 #225) -#227 := [rewrite]: #226 -#234 := [monotonicity #227 #231]: #233 -#237 := [monotonicity #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [monotonicity #240]: #242 -#246 := [quant-intro #243]: #245 -#218 := (~ #196 #196) -#220 := (~ #193 #193) -#221 := [refl]: #220 -#219 := [nnf-pos #221]: #218 -#83 := (<= 0::Int #16) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#107 := (if #95 #30 #104) -#110 := (if #23 0::Int #107) -#113 := (= #19 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#197 := (iff #116 #196) -#194 := (iff #113 #193) -#191 := (= #110 #190) -#188 := (= #107 #187) -#185 := (iff #95 #184) -#182 := (iff #92 #181) -#179 := (iff #84 #178) -#176 := (iff #83 #175) -#177 := [rewrite]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [monotonicity #186]: #188 -#192 := [monotonicity #189]: #191 -#195 := [monotonicity #192]: #194 -#198 := [quant-intro #195]: #197 +#256 := (if #23 #248 #255) +#754 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #753) #256) +#259 := (forall (vars (?v0 Int) (?v1 Int)) #256) +#757 := (iff #259 #754) +#755 := (iff #256 #256) +#756 := [refl]: #755 +#758 := [quant-intro #756]: #757 +#219 := (if #216 #30 #101) +#222 := (if #23 0::Int #219) +#225 := (= #19 #222) +#228 := (forall (vars (?v0 Int) (?v1 Int)) #225) +#260 := (iff #228 #259) +#257 := (iff #225 #256) +#258 := [rewrite]: #257 +#261 := [quant-intro #258]: #260 +#121 := (not #120) +#128 := (not #127) +#131 := (and #128 #121) +#117 := (not #116) +#124 := (and #117 #121) +#134 := (or #124 #131) +#137 := (if #134 #30 #101) +#140 := (if #23 0::Int #137) +#143 := (= #19 #140) +#146 := (forall (vars (?v0 Int) (?v1 Int)) #143) +#229 := (iff #146 #228) +#226 := (iff #143 #225) +#223 := (= #140 #222) +#220 := (= #137 #219) +#217 := (iff #134 #216) +#214 := (iff #131 #213) +#215 := [rewrite]: #214 +#204 := (iff #124 #211) +#205 := [rewrite]: #204 +#218 := [monotonicity #205 #215]: #217 +#221 := [monotonicity #218]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [quant-intro #227]: #229 +#208 := (~ #146 #146) +#206 := (~ #143 #143) +#207 := [refl]: #206 +#209 := [nnf-pos #207]: #208 #32 := (- #18) #31 := (- #16) #33 := (div #31 #32) @@ -28832,205 +26827,214 @@ #35 := (if #23 0::Int #34) #36 := (= #19 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#117 := (iff #37 #116) -#114 := (iff #36 #113) -#111 := (= #35 #110) -#108 := (= #34 #107) -#105 := (= #33 #104) -#102 := (= #32 #101) -#103 := [rewrite]: #102 -#99 := (= #31 #98) +#149 := (iff #37 #146) +#104 := (if #29 #30 #101) +#107 := (if #23 0::Int #104) +#110 := (= #19 #107) +#113 := (forall (vars (?v0 Int) (?v1 Int)) #110) +#147 := (iff #113 #146) +#144 := (iff #110 #143) +#141 := (= #107 #140) +#138 := (= #104 #137) +#135 := (iff #29 #134) +#132 := (iff #28 #131) +#122 := (iff #25 #121) +#123 := [rewrite]: #122 +#129 := (iff #27 #128) +#130 := [rewrite]: #129 +#133 := [monotonicity #130 #123]: #132 +#125 := (iff #26 #124) +#118 := (iff #24 #117) +#119 := [rewrite]: #118 +#126 := [monotonicity #119 #123]: #125 +#136 := [monotonicity #126 #133]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [quant-intro #145]: #147 +#114 := (iff #37 #113) +#111 := (iff #36 #110) +#108 := (= #35 #107) +#105 := (= #34 #104) +#102 := (= #33 #101) +#99 := (= #32 #98) #100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#96 := (iff #29 #95) -#93 := (iff #28 #92) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#85 := (iff #27 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) -#88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #26 #80) -#74 := (iff #24 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#109 := [monotonicity #97 #106]: #108 +#96 := (= #31 #95) +#97 := [rewrite]: #96 +#103 := [monotonicity #97 #100]: #102 +#106 := [monotonicity #103]: #105 +#109 := [monotonicity #106]: #108 #112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#51 := [asserted]: #37 -#119 := [mp #51 #118]: #116 -#199 := [mp #119 #198]: #196 -#165 := [mp~ #199 #219]: #196 -#247 := [mp #165 #246]: #244 -#278 := [mp #247 #277]: #275 -#714 := [mp #278 #713]: #709 -#656 := (not #709) -#650 := (or #656 #653) -#703 := (* -1::Int -1::Int) -#704 := (div #62 #703) -#705 := (* -1::Int #704) -#706 := (+ #59 #705) -#701 := (= #706 0::Int) -#489 := (div f6 -1::Int) -#696 := (* -1::Int #489) -#370 := (+ #59 #696) -#371 := (= #370 0::Int) -#385 := (<= -1::Int 0::Int) -#700 := (or #365 #385) -#702 := (not #700) -#382 := (or #384 #385) -#386 := (not #382) -#359 := (or #386 #702) -#707 := (if #359 #371 #701) -#381 := (= -1::Int 0::Int) -#372 := (or #380 #381) -#697 := (if #372 #383 #707) -#651 := (or #656 #697) -#658 := (iff #651 #650) -#659 := (iff #650 #650) -#488 := [rewrite]: #659 -#654 := (iff #697 #653) -#510 := (iff #707 #665) -#666 := (if false #371 #665) -#668 := (iff #666 #665) -#509 := [rewrite]: #668 -#667 := (iff #707 #666) -#660 := (iff #701 #665) -#663 := (= #706 #674) -#673 := (= #705 #669) -#672 := (= #704 #671) -#392 := (= #703 1::Int) -#393 := [rewrite]: #392 -#387 := [monotonicity #393]: #672 -#670 := [monotonicity #387]: #673 -#664 := [monotonicity #670]: #663 -#661 := [monotonicity #664]: #660 -#390 := (iff #359 false) -#401 := (or false false) -#676 := (iff #401 false) -#680 := [rewrite]: #676 -#675 := (iff #359 #401) -#678 := (iff #702 false) -#328 := (not true) -#333 := (iff #328 false) -#334 := [rewrite]: #333 -#301 := (iff #702 #328) -#406 := (iff #700 true) -#695 := (or #365 true) -#404 := (iff #695 true) -#405 := [rewrite]: #404 -#681 := (iff #700 #695) -#348 := (iff #385 true) -#349 := [rewrite]: #348 -#682 := [monotonicity #349]: #681 -#407 := [trans #682 #405]: #406 -#677 := [monotonicity #407]: #301 -#400 := [trans #677 #334]: #678 -#694 := (iff #386 false) -#691 := (iff #386 #328) -#684 := (iff #382 true) -#685 := (or #384 true) -#688 := (iff #685 true) -#689 := [rewrite]: #688 -#686 := (iff #382 #685) -#687 := [monotonicity #349]: #686 -#690 := [trans #687 #689]: #684 -#693 := [monotonicity #690]: #691 -#692 := [trans #693 #334]: #694 -#679 := [monotonicity #692 #400]: #675 -#391 := [trans #679 #680]: #390 -#662 := [monotonicity #391 #661]: #667 -#511 := [trans #662 #509]: #510 -#346 := (iff #372 #380) -#698 := (or #380 false) -#342 := (iff #698 #380) -#683 := [rewrite]: #342 -#358 := (iff #372 #698) -#357 := (iff #381 false) -#362 := [rewrite]: #357 -#699 := [monotonicity #362]: #358 -#347 := [trans #699 #683]: #346 -#655 := [monotonicity #347 #511]: #654 -#652 := [monotonicity #655]: #658 -#490 := [trans #652 #488]: #658 -#657 := [quant-inst #8 #56]: #651 -#491 := [mp #657 #490]: #650 -#548 := [unit-resolution #491 #714]: #653 -#649 := (not #653) -#492 := (or #649 #380 #665) -#640 := [def-axiom]: #492 -#643 := [unit-resolution #640 #548]: #639 -#615 := [unit-resolution #643 #547]: #380 -#620 := (or #531 #365) -#606 := [th-lemma arith triangle-eq]: #620 -#607 := [unit-resolution #606 #615]: #365 -#645 := (>= #59 0::Int) -#609 := (or #531 #383) -#532 := (or #649 #531 #383) -#533 := [def-axiom]: #532 -#610 := [unit-resolution #533 #548]: #609 -#611 := [unit-resolution #610 #615]: #383 -#542 := (not #383) -#630 := (or #542 #645) -#632 := [th-lemma arith triangle-eq]: #630 -#623 := [unit-resolution #632 #611]: #645 -#633 := [th-lemma arith farkas 1 -1 1 #623 #588 #607]: false -#634 := [lemma #633]: #379 -#613 := (or #626 #587) -#168 := (= #167 0::Int) -#171 := (not #168) -#65 := (= #59 #62) -#68 := (not #65) -#172 := (iff #68 #171) -#169 := (iff #65 #168) -#170 := [rewrite]: #169 -#173 := [monotonicity #170]: #172 +#115 := [quant-intro #112]: #114 +#150 := [trans #115 #148]: #149 +#94 := [asserted]: #37 +#151 := [mp #94 #150]: #146 +#200 := [mp~ #151 #209]: #146 +#231 := [mp #200 #230]: #228 +#262 := [mp #231 #261]: #259 +#759 := [mp #262 #758]: #754 +#701 := (not #754) +#695 := (or #701 #698) +#748 := (* -1::Int -1::Int) +#749 := (div #75 #748) +#750 := (* -1::Int #749) +#751 := (+ #72 #750) +#746 := (= #751 0::Int) +#534 := (div f6 -1::Int) +#741 := (* -1::Int #534) +#415 := (+ #72 #741) +#416 := (= #415 0::Int) +#430 := (<= -1::Int 0::Int) +#745 := (or #410 #430) +#747 := (not #745) +#427 := (or #429 #430) +#431 := (not #427) +#404 := (or #431 #747) +#752 := (if #404 #416 #746) +#426 := (= -1::Int 0::Int) +#417 := (or #425 #426) +#742 := (if #417 #428 #752) +#696 := (or #701 #742) +#703 := (iff #696 #695) +#704 := (iff #695 #695) +#533 := [rewrite]: #704 +#699 := (iff #742 #698) +#555 := (iff #752 #710) +#711 := (if false #416 #710) +#713 := (iff #711 #710) +#554 := [rewrite]: #713 +#712 := (iff #752 #711) +#705 := (iff #746 #710) +#708 := (= #751 #719) +#718 := (= #750 #714) +#717 := (= #749 #716) +#437 := (= #748 1::Int) +#438 := [rewrite]: #437 +#432 := [monotonicity #438]: #717 +#715 := [monotonicity #432]: #718 +#709 := [monotonicity #715]: #708 +#706 := [monotonicity #709]: #705 +#435 := (iff #404 false) +#446 := (or false false) +#721 := (iff #446 false) +#725 := [rewrite]: #721 +#720 := (iff #404 #446) +#723 := (iff #747 false) +#373 := (not true) +#378 := (iff #373 false) +#379 := [rewrite]: #378 +#346 := (iff #747 #373) +#451 := (iff #745 true) +#740 := (or #410 true) +#449 := (iff #740 true) +#450 := [rewrite]: #449 +#726 := (iff #745 #740) +#393 := (iff #430 true) +#394 := [rewrite]: #393 +#727 := [monotonicity #394]: #726 +#452 := [trans #727 #450]: #451 +#722 := [monotonicity #452]: #346 +#445 := [trans #722 #379]: #723 +#739 := (iff #431 false) +#736 := (iff #431 #373) +#729 := (iff #427 true) +#730 := (or #429 true) +#733 := (iff #730 true) +#734 := [rewrite]: #733 +#731 := (iff #427 #730) +#732 := [monotonicity #394]: #731 +#735 := [trans #732 #734]: #729 +#738 := [monotonicity #735]: #736 +#737 := [trans #738 #379]: #739 +#724 := [monotonicity #737 #445]: #720 +#436 := [trans #724 #725]: #435 +#707 := [monotonicity #436 #706]: #712 +#556 := [trans #707 #554]: #555 +#391 := (iff #417 #425) +#743 := (or #425 false) +#387 := (iff #743 #425) +#728 := [rewrite]: #387 +#403 := (iff #417 #743) +#402 := (iff #426 false) +#407 := [rewrite]: #402 +#744 := [monotonicity #407]: #403 +#392 := [trans #744 #728]: #391 +#700 := [monotonicity #392 #556]: #699 +#697 := [monotonicity #700]: #703 +#535 := [trans #697 #533]: #703 +#702 := [quant-inst #8 #69]: #696 +#536 := [mp #702 #535]: #695 +#600 := [unit-resolution #536 #759]: #698 +#694 := (not #698) +#537 := (or #694 #425 #710) +#685 := [def-axiom]: #537 +#602 := [unit-resolution #685 #600]: #601 +#495 := [unit-resolution #602 #627]: #425 +#606 := (or #576 #410) +#607 := [th-lemma arith triangle-eq]: #606 +#608 := [unit-resolution #607 #495]: #410 +#690 := (>= #72 0::Int) +#613 := (or #576 #428) +#577 := (or #694 #576 #428) +#578 := [def-axiom]: #577 +#609 := [unit-resolution #578 #600]: #613 +#610 := [unit-resolution #609 #495]: #428 +#587 := (not #428) +#611 := (or #587 #690) +#614 := [th-lemma arith triangle-eq]: #611 +#615 := [unit-resolution #614 #610]: #690 +#616 := [th-lemma arith farkas 1 -1 1 #615 #633 #608]: false +#612 := [lemma #616]: #424 +#599 := (or #579 #632) +#85 := (= #84 0::Int) +#88 := (not #85) #13 := (- f6) #11 := (- 1::Int) #12 := (f3 #9 #11) #14 := (= #12 #13) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #13 #62) -#64 := [rewrite]: #63 -#60 := (= #12 #59) -#57 := (= #11 -1::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#174 := [mp #71 #173]: #171 -#627 := (or #168 #626 #587) -#628 := [th-lemma arith triangle-eq]: #627 -#614 := [unit-resolution #628 #174]: #613 -#616 := [unit-resolution #614 #634]: #626 -#644 := (<= #59 0::Int) -#617 := [unit-resolution #610 #635]: #383 -#618 := (or #542 #644) -#581 := [th-lemma arith triangle-eq]: #618 -#576 := [unit-resolution #581 #617]: #644 -#582 := [th-lemma arith farkas 1 -1 1 #576 #616 #625]: false -#555 := [lemma #582]: #531 -#539 := [unit-resolution #643 #555]: #665 -#540 := (or #641 #648) -#550 := [th-lemma arith triangle-eq]: #540 -#530 := [unit-resolution #550 #539]: #648 -#563 := (<= #622 0::Int) -#551 := (or #591 #563) -#506 := [th-lemma arith triangle-eq]: #551 -#507 := [unit-resolution #506 #585]: #563 -[th-lemma arith farkas 1 -1 1 #507 #616 #530]: false -0fa0312c612ec397b0cce6b0237bbb9cfd628037 289 0 -unsat +#91 := (iff #15 #88) +#78 := (= #72 #75) +#81 := (not #78) +#89 := (iff #81 #88) +#86 := (iff #78 #85) +#87 := [rewrite]: #86 +#90 := [monotonicity #87]: #89 +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #13 #75) +#77 := [rewrite]: #76 +#73 := (= #12 #72) +#70 := (= #11 -1::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#92 := [trans #83 #90]: #91 +#68 := [asserted]: #15 +#93 := [mp #68 #92]: #88 +#603 := (or #85 #579 #632) +#604 := [th-lemma arith triangle-eq]: #603 +#605 := [unit-resolution #604 #93]: #599 +#573 := [unit-resolution #605 #612]: #579 +#689 := (<= #72 0::Int) +#580 := [unit-resolution #609 #617]: #428 +#539 := (or #587 #689) +#570 := [th-lemma arith triangle-eq]: #539 +#572 := [unit-resolution #570 #580]: #689 +#574 := [th-lemma arith farkas 1 -1 1 #572 #573 #598]: false +#581 := [lemma #574]: #576 +#584 := [unit-resolution #602 #581]: #710 +#585 := (or #686 #693) +#595 := [th-lemma arith triangle-eq]: #585 +#575 := [unit-resolution #595 #584]: #693 +#583 := (<= #667 0::Int) +#596 := (or #636 #583) +#551 := [th-lemma arith triangle-eq]: #596 +#552 := [unit-resolution #551 #630]: #583 +[th-lemma arith farkas 1 -1 1 #552 #573 #575]: false +unsat +f75a5bc3547a7074f0c9531c7810228e69e7b130 273 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -29040,99 +27044,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#683 := (pattern #17) +#726 := (pattern #17) #8 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #16) -#80 := (* -1::Int #14) -#86 := (div #80 #83) -#242 := (* -1::Int #86) -#243 := (+ #17 #242) -#244 := (= #243 0::Int) +#67 := -1::Int +#71 := (* -1::Int #16) +#68 := (* -1::Int #14) +#74 := (div #68 #71) +#225 := (* -1::Int #74) +#226 := (+ #17 #225) +#227 := (= #226 0::Int) #27 := (div #14 #16) -#239 := (* -1::Int #27) -#240 := (+ #17 #239) -#241 := (= #240 0::Int) -#57 := (<= #16 0::Int) -#149 := (>= #14 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #14 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#245 := (if #206 #241 #244) -#238 := (= #17 0::Int) +#222 := (* -1::Int #27) +#223 := (+ #17 #222) +#224 := (= #223 0::Int) +#93 := (<= #16 0::Int) +#100 := (>= #14 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #14 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#228 := (if #189 #224 #227) +#221 := (= #17 0::Int) #19 := (= #16 0::Int) #18 := (= #14 0::Int) #20 := (or #18 #19) -#246 := (if #20 #238 #245) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #246) -#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) -#687 := (iff #249 #684) -#685 := (iff #246 #246) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#209 := (if #206 #27 #86) -#212 := (if #20 0::Int #209) -#215 := (= #17 #212) -#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) -#250 := (iff #218 #249) -#247 := (iff #215 #246) -#248 := [rewrite]: #247 -#251 := [quant-intro #248]: #250 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#161 := (if #158 #27 #86) -#164 := (if #20 0::Int #161) -#167 := (= #17 #164) -#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) -#219 := (iff #170 #218) -#216 := (iff #167 #215) -#213 := (= #164 #212) -#210 := (= #161 #209) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#211 := [monotonicity #208]: #210 -#214 := [monotonicity #211]: #213 -#217 := [monotonicity #214]: #216 -#220 := [quant-intro #217]: #219 -#194 := (~ #170 #170) -#192 := (~ #167 #167) -#193 := [refl]: #192 -#195 := [nnf-pos #193]: #194 -#64 := (<= 0::Int #14) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#89 := (if #76 #27 #86) -#92 := (if #20 0::Int #89) -#95 := (= #17 #92) -#98 := (forall (vars (?v0 Int) (?v1 Int)) #95) -#171 := (iff #98 #170) -#168 := (iff #95 #167) -#165 := (= #92 #164) -#162 := (= #89 #161) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#166 := [monotonicity #163]: #165 -#169 := [monotonicity #166]: #168 -#172 := [quant-intro #169]: #171 +#229 := (if #20 #221 #228) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #229) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#730 := (iff #232 #727) +#728 := (iff #229 #229) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#192 := (if #189 #27 #74) +#195 := (if #20 0::Int #192) +#198 := (= #17 #195) +#201 := (forall (vars (?v0 Int) (?v1 Int)) #198) +#233 := (iff #201 #232) +#230 := (iff #198 #229) +#231 := [rewrite]: #230 +#234 := [quant-intro #231]: #233 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#110 := (if #107 #27 #74) +#113 := (if #20 0::Int #110) +#116 := (= #17 #113) +#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) +#202 := (iff #119 #201) +#199 := (iff #116 #198) +#196 := (= #113 #195) +#193 := (= #110 #192) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#194 := [monotonicity #191]: #193 +#197 := [monotonicity #194]: #196 +#200 := [monotonicity #197]: #199 +#203 := [quant-intro #200]: #202 +#181 := (~ #119 #119) +#179 := (~ #116 #116) +#180 := [refl]: #179 +#182 := [nnf-pos #180]: #181 #29 := (- #16) #28 := (- #14) #30 := (div #28 #29) @@ -29146,181 +27126,189 @@ #32 := (if #20 0::Int #31) #33 := (= #17 #32) #34 := (forall (vars (?v0 Int) (?v1 Int)) #33) -#99 := (iff #34 #98) -#96 := (iff #33 #95) -#93 := (= #32 #92) -#90 := (= #31 #89) -#87 := (= #30 #86) -#84 := (= #29 #83) -#85 := [rewrite]: #84 -#81 := (= #28 #80) -#82 := [rewrite]: #81 -#88 := [monotonicity #82 #85]: #87 -#77 := (iff #26 #76) -#74 := (iff #25 #73) -#59 := (iff #22 #58) -#60 := [rewrite]: #59 -#66 := (iff #24 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #23 #61) -#55 := (iff #21 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#91 := [monotonicity #78 #88]: #90 -#94 := [monotonicity #91]: #93 -#97 := [monotonicity #94]: #96 -#100 := [quant-intro #97]: #99 -#48 := [asserted]: #34 -#101 := [mp #48 #100]: #98 -#173 := [mp #101 #172]: #170 -#147 := [mp~ #173 #195]: #170 -#221 := [mp #147 #220]: #218 -#252 := [mp #221 #251]: #249 -#689 := [mp #252 #688]: #684 +#122 := (iff #34 #119) +#77 := (if #26 #27 #74) +#80 := (if #20 0::Int #77) +#83 := (= #17 #80) +#86 := (forall (vars (?v0 Int) (?v1 Int)) #83) +#120 := (iff #86 #119) +#117 := (iff #83 #116) +#114 := (= #80 #113) +#111 := (= #77 #110) +#108 := (iff #26 #107) +#105 := (iff #25 #104) +#95 := (iff #22 #94) +#96 := [rewrite]: #95 +#102 := (iff #24 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #23 #97) +#91 := (iff #21 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#112 := [monotonicity #109]: #111 +#115 := [monotonicity #112]: #114 +#118 := [monotonicity #115]: #117 +#121 := [quant-intro #118]: #120 +#87 := (iff #34 #86) +#84 := (iff #33 #83) +#81 := (= #32 #80) +#78 := (= #31 #77) +#75 := (= #30 #74) +#72 := (= #29 #71) +#73 := [rewrite]: #72 +#69 := (= #28 #68) +#70 := [rewrite]: #69 +#76 := [monotonicity #70 #73]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#88 := [quant-intro #85]: #87 +#123 := [trans #88 #121]: #122 +#66 := [asserted]: #34 +#124 := [mp #66 #123]: #119 +#173 := [mp~ #124 #182]: #119 +#204 := [mp #173 #203]: #201 +#235 := [mp #204 #234]: #232 +#732 := [mp #235 #731]: #727 #10 := 3::Int #9 := (f4 f5 0::Int) #11 := (f3 #9 3::Int) #12 := (= #11 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#501 := (not #684) -#516 := (or #501 #12) -#345 := (* -1::Int 3::Int) -#671 := (* -1::Int 0::Int) -#346 := (div #671 #345) -#678 := (* -1::Int #346) -#679 := (+ #11 #678) -#680 := (= #679 0::Int) -#675 := (div 0::Int 3::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 3::Int 0::Int) -#360 := (>= 0::Int 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= 0::Int 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#681 := (if #340 #464 #680) -#354 := (= 3::Int 0::Int) -#269 := (= 0::Int 0::Int) -#355 := (or #269 #354) -#676 := (if #355 #12 #681) -#518 := (or #501 #676) -#512 := (iff #518 #516) -#521 := (iff #516 #516) -#522 := [rewrite]: #521 -#613 := (iff #676 #12) -#1 := true -#508 := (if true #12 #12) -#517 := (iff #508 #12) -#612 := [rewrite]: #517 -#467 := (iff #676 #508) -#506 := (iff #681 #12) -#620 := (if false #12 #12) -#621 := (iff #620 #12) -#624 := [rewrite]: #621 -#622 := (iff #681 #620) -#466 := (iff #680 #12) -#463 := (= #679 #11) -#648 := (+ #11 0::Int) -#638 := (= #648 #11) -#639 := [rewrite]: #638 -#627 := (= #679 #648) -#632 := (= #678 0::Int) -#646 := (= #671 0::Int) -#647 := [rewrite]: #646 -#625 := (= #678 #671) -#630 := (= #346 0::Int) -#642 := -3::Int -#484 := (div 0::Int -3::Int) -#628 := (= #484 0::Int) -#629 := [rewrite]: #628 -#485 := (= #346 #484) -#637 := (= #345 -3::Int) -#643 := [rewrite]: #637 -#486 := [monotonicity #647 #643]: #485 -#631 := [trans #486 #629]: #630 -#626 := [monotonicity #631]: #625 -#633 := [trans #626 #647]: #632 -#634 := [monotonicity #633]: #627 -#465 := [trans #634 #639]: #463 -#619 := [monotonicity #465]: #466 -#636 := (iff #464 #12) -#640 := (= #334 #11) -#645 := (= #334 #648) -#362 := (= #677 0::Int) -#367 := (= #677 #671) -#365 := (= #675 0::Int) -#366 := [rewrite]: #365 -#368 := [monotonicity #366]: #367 -#644 := [trans #368 #647]: #362 -#649 := [monotonicity #644]: #645 -#635 := [trans #649 #639]: #640 -#641 := [monotonicity #635]: #636 -#651 := (iff #340 false) -#653 := (or false false) -#650 := (iff #653 false) -#654 := [rewrite]: #650 -#375 := (iff #340 #653) -#275 := (iff #361 false) -#665 := (not true) -#668 := (iff #665 false) -#308 := [rewrite]: #668 -#381 := (iff #361 #665) -#379 := (iff #357 true) -#673 := (or true false) -#317 := (iff #673 true) -#658 := [rewrite]: #317 -#656 := (iff #357 #673) -#660 := (iff #347 false) -#661 := [rewrite]: #660 -#667 := (iff #360 true) -#670 := [rewrite]: #667 -#657 := [monotonicity #670 #661]: #656 -#380 := [trans #657 #658]: #379 -#382 := [monotonicity #380]: #381 -#652 := [trans #382 #308]: #275 -#309 := (iff #359 false) -#303 := (iff #359 #665) -#664 := (iff #358 true) -#662 := (iff #358 #673) -#323 := (iff #356 true) -#324 := [rewrite]: #323 -#663 := [monotonicity #324 #661]: #662 -#659 := [trans #663 #658]: #664 -#666 := [monotonicity #659]: #303 -#669 := [trans #666 #308]: #309 -#376 := [monotonicity #669 #652]: #375 -#655 := [trans #376 #654]: #651 -#623 := [monotonicity #655 #641 #619]: #622 -#507 := [trans #623 #624]: #506 -#321 := (iff #355 true) -#333 := (iff #355 #673) -#332 := (iff #354 false) -#337 := [rewrite]: #332 -#682 := (iff #269 true) -#672 := [rewrite]: #682 -#674 := [monotonicity #672 #337]: #333 -#322 := [trans #674 #658]: #321 -#615 := [monotonicity #322 #507]: #467 -#616 := [trans #615 #612]: #613 -#520 := [monotonicity #616]: #512 -#523 := [trans #520 #522]: #512 -#519 := [quant-inst #8 #10]: #518 -#524 := [mp #519 #523]: #516 -[unit-resolution #524 #47 #689]: false -1b013ef09ce577cd8e25f770ced5ed59077a626b 305 0 -unsat +#65 := [asserted]: #13 +#544 := (not #727) +#559 := (or #544 #12) +#388 := (* -1::Int 3::Int) +#714 := (* -1::Int 0::Int) +#389 := (div #714 #388) +#721 := (* -1::Int #389) +#722 := (+ #11 #721) +#723 := (= #722 0::Int) +#718 := (div 0::Int 3::Int) +#720 := (* -1::Int #718) +#377 := (+ #11 #720) +#507 := (= #377 0::Int) +#390 := (<= 3::Int 0::Int) +#403 := (>= 0::Int 0::Int) +#400 := (or #403 #390) +#404 := (not #400) +#399 := (<= 0::Int 0::Int) +#401 := (or #399 #390) +#402 := (not #401) +#383 := (or #402 #404) +#724 := (if #383 #507 #723) +#397 := (= 3::Int 0::Int) +#313 := (= 0::Int 0::Int) +#398 := (or #313 #397) +#719 := (if #398 #12 #724) +#561 := (or #544 #719) +#555 := (iff #561 #559) +#564 := (iff #559 #559) +#565 := [rewrite]: #564 +#656 := (iff #719 #12) +#1 := true +#551 := (if true #12 #12) +#560 := (iff #551 #12) +#655 := [rewrite]: #560 +#510 := (iff #719 #551) +#549 := (iff #724 #12) +#663 := (if false #12 #12) +#664 := (iff #663 #12) +#667 := [rewrite]: #664 +#665 := (iff #724 #663) +#509 := (iff #723 #12) +#506 := (= #722 #11) +#691 := (+ #11 0::Int) +#681 := (= #691 #11) +#682 := [rewrite]: #681 +#670 := (= #722 #691) +#675 := (= #721 0::Int) +#689 := (= #714 0::Int) +#690 := [rewrite]: #689 +#668 := (= #721 #714) +#673 := (= #389 0::Int) +#685 := -3::Int +#527 := (div 0::Int -3::Int) +#671 := (= #527 0::Int) +#672 := [rewrite]: #671 +#528 := (= #389 #527) +#680 := (= #388 -3::Int) +#686 := [rewrite]: #680 +#529 := [monotonicity #690 #686]: #528 +#674 := [trans #529 #672]: #673 +#669 := [monotonicity #674]: #668 +#676 := [trans #669 #690]: #675 +#677 := [monotonicity #676]: #670 +#508 := [trans #677 #682]: #506 +#662 := [monotonicity #508]: #509 +#679 := (iff #507 #12) +#683 := (= #377 #11) +#688 := (= #377 #691) +#405 := (= #720 0::Int) +#410 := (= #720 #714) +#408 := (= #718 0::Int) +#409 := [rewrite]: #408 +#411 := [monotonicity #409]: #410 +#687 := [trans #411 #690]: #405 +#692 := [monotonicity #687]: #688 +#678 := [trans #692 #682]: #683 +#684 := [monotonicity #678]: #679 +#694 := (iff #383 false) +#696 := (or false false) +#693 := (iff #696 false) +#697 := [rewrite]: #693 +#418 := (iff #383 #696) +#319 := (iff #404 false) +#708 := (not true) +#711 := (iff #708 false) +#351 := [rewrite]: #711 +#424 := (iff #404 #708) +#422 := (iff #400 true) +#716 := (or true false) +#360 := (iff #716 true) +#701 := [rewrite]: #360 +#699 := (iff #400 #716) +#703 := (iff #390 false) +#704 := [rewrite]: #703 +#710 := (iff #403 true) +#713 := [rewrite]: #710 +#700 := [monotonicity #713 #704]: #699 +#423 := [trans #700 #701]: #422 +#425 := [monotonicity #423]: #424 +#695 := [trans #425 #351]: #319 +#352 := (iff #402 false) +#346 := (iff #402 #708) +#707 := (iff #401 true) +#705 := (iff #401 #716) +#366 := (iff #399 true) +#367 := [rewrite]: #366 +#706 := [monotonicity #367 #704]: #705 +#702 := [trans #706 #701]: #707 +#709 := [monotonicity #702]: #346 +#712 := [trans #709 #351]: #352 +#419 := [monotonicity #712 #695]: #418 +#698 := [trans #419 #697]: #694 +#666 := [monotonicity #698 #684 #662]: #665 +#550 := [trans #666 #667]: #549 +#364 := (iff #398 true) +#376 := (iff #398 #716) +#375 := (iff #397 false) +#380 := [rewrite]: #375 +#725 := (iff #313 true) +#715 := [rewrite]: #725 +#717 := [monotonicity #715 #380]: #376 +#365 := [trans #717 #701]: #364 +#658 := [monotonicity #365 #550]: #510 +#659 := [trans #658 #655]: #656 +#563 := [monotonicity #659]: #555 +#566 := [trans #563 #565]: #555 +#562 := [quant-inst #8 #10]: #561 +#567 := [mp #562 #566]: #559 +[unit-resolution #567 #65 #732]: false +unsat +3a037a6da2a34725e2878597eed3b279d726e286 289 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -29330,99 +27318,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#697 := (pattern #18) +#740 := (pattern #18) #8 := 0::Int -#93 := -1::Int -#97 := (* -1::Int #17) -#94 := (* -1::Int #15) -#100 := (div #94 #97) -#256 := (* -1::Int #100) -#257 := (+ #18 #256) -#258 := (= #257 0::Int) +#80 := -1::Int +#85 := (* -1::Int #17) +#82 := (* -1::Int #15) +#88 := (div #82 #85) +#239 := (* -1::Int #88) +#240 := (+ #18 #239) +#241 := (= #240 0::Int) #28 := (div #15 #17) -#253 := (* -1::Int #28) -#254 := (+ #18 #253) -#255 := (= #254 0::Int) -#71 := (<= #17 0::Int) -#163 := (>= #15 0::Int) -#216 := (or #163 #71) -#217 := (not #216) -#67 := (<= #15 0::Int) -#212 := (or #67 #71) -#213 := (not #212) -#220 := (or #213 #217) -#259 := (if #220 #255 #258) -#252 := (= #18 0::Int) +#236 := (* -1::Int #28) +#237 := (+ #18 #236) +#238 := (= #237 0::Int) +#107 := (<= #17 0::Int) +#114 := (>= #15 0::Int) +#199 := (or #114 #107) +#200 := (not #199) +#103 := (<= #15 0::Int) +#197 := (or #103 #107) +#198 := (not #197) +#203 := (or #198 #200) +#242 := (if #203 #238 #241) +#235 := (= #18 0::Int) #20 := (= #17 0::Int) #19 := (= #15 0::Int) #21 := (or #19 #20) -#260 := (if #21 #252 #259) -#698 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #697) #260) -#263 := (forall (vars (?v0 Int) (?v1 Int)) #260) -#701 := (iff #263 #698) -#699 := (iff #260 #260) -#700 := [refl]: #699 -#702 := [quant-intro #700]: #701 -#223 := (if #220 #28 #100) -#226 := (if #21 0::Int #223) -#229 := (= #18 #226) -#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) -#264 := (iff #232 #263) -#261 := (iff #229 #260) -#262 := [rewrite]: #261 -#265 := [quant-intro #262]: #264 -#72 := (not #71) -#166 := (not #163) -#169 := (and #166 #72) -#68 := (not #67) -#75 := (and #68 #72) -#172 := (or #75 #169) -#175 := (if #172 #28 #100) -#178 := (if #21 0::Int #175) -#181 := (= #18 #178) -#184 := (forall (vars (?v0 Int) (?v1 Int)) #181) -#233 := (iff #184 #232) -#230 := (iff #181 #229) -#227 := (= #178 #226) -#224 := (= #175 #223) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#219 := [rewrite]: #218 -#214 := (iff #75 #213) -#215 := [rewrite]: #214 -#222 := [monotonicity #215 #219]: #221 -#225 := [monotonicity #222]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [quant-intro #231]: #233 -#206 := (~ #184 #184) -#208 := (~ #181 #181) -#209 := [refl]: #208 -#207 := [nnf-pos #209]: #206 -#78 := (<= 0::Int #15) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#103 := (if #90 #28 #100) -#106 := (if #21 0::Int #103) -#109 := (= #18 #106) -#112 := (forall (vars (?v0 Int) (?v1 Int)) #109) -#185 := (iff #112 #184) -#182 := (iff #109 #181) -#179 := (= #106 #178) -#176 := (= #103 #175) -#173 := (iff #90 #172) -#170 := (iff #87 #169) -#167 := (iff #79 #166) -#164 := (iff #78 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [quant-intro #183]: #185 +#243 := (if #21 #235 #242) +#741 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #740) #243) +#246 := (forall (vars (?v0 Int) (?v1 Int)) #243) +#744 := (iff #246 #741) +#742 := (iff #243 #243) +#743 := [refl]: #742 +#745 := [quant-intro #743]: #744 +#206 := (if #203 #28 #88) +#209 := (if #21 0::Int #206) +#212 := (= #18 #209) +#215 := (forall (vars (?v0 Int) (?v1 Int)) #212) +#247 := (iff #215 #246) +#244 := (iff #212 #243) +#245 := [rewrite]: #244 +#248 := [quant-intro #245]: #247 +#108 := (not #107) +#115 := (not #114) +#118 := (and #115 #108) +#104 := (not #103) +#111 := (and #104 #108) +#121 := (or #111 #118) +#124 := (if #121 #28 #88) +#127 := (if #21 0::Int #124) +#130 := (= #18 #127) +#133 := (forall (vars (?v0 Int) (?v1 Int)) #130) +#216 := (iff #133 #215) +#213 := (iff #130 #212) +#210 := (= #127 #209) +#207 := (= #124 #206) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#202 := [rewrite]: #201 +#191 := (iff #111 #198) +#192 := [rewrite]: #191 +#205 := [monotonicity #192 #202]: #204 +#208 := [monotonicity #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [quant-intro #214]: #216 +#195 := (~ #133 #133) +#193 := (~ #130 #130) +#194 := [refl]: #193 +#196 := [nnf-pos #194]: #195 #30 := (- #17) #29 := (- #15) #31 := (div #29 #30) @@ -29436,197 +27400,205 @@ #33 := (if #21 0::Int #32) #34 := (= #18 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#113 := (iff #35 #112) -#110 := (iff #34 #109) -#107 := (= #33 #106) -#104 := (= #32 #103) -#101 := (= #31 #100) -#98 := (= #30 #97) -#99 := [rewrite]: #98 -#95 := (= #29 #94) -#96 := [rewrite]: #95 -#102 := [monotonicity #96 #99]: #101 -#91 := (iff #27 #90) -#88 := (iff #26 #87) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#80 := (iff #25 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) -#83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #24 #75) -#69 := (iff #22 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#105 := [monotonicity #92 #102]: #104 -#108 := [monotonicity #105]: #107 -#111 := [monotonicity #108]: #110 -#114 := [quant-intro #111]: #113 -#49 := [asserted]: #35 -#115 := [mp #49 #114]: #112 -#187 := [mp #115 #186]: #184 -#204 := [mp~ #187 #207]: #184 -#235 := [mp #204 #234]: #232 -#266 := [mp #235 #265]: #263 -#703 := [mp #266 #702]: #698 -#54 := -3::Int +#136 := (iff #35 #133) +#91 := (if #27 #28 #88) +#94 := (if #21 0::Int #91) +#97 := (= #18 #94) +#100 := (forall (vars (?v0 Int) (?v1 Int)) #97) +#134 := (iff #100 #133) +#131 := (iff #97 #130) +#128 := (= #94 #127) +#125 := (= #91 #124) +#122 := (iff #27 #121) +#119 := (iff #26 #118) +#109 := (iff #23 #108) +#110 := [rewrite]: #109 +#116 := (iff #25 #115) +#117 := [rewrite]: #116 +#120 := [monotonicity #117 #110]: #119 +#112 := (iff #24 #111) +#105 := (iff #22 #104) +#106 := [rewrite]: #105 +#113 := [monotonicity #106 #110]: #112 +#123 := [monotonicity #113 #120]: #122 +#126 := [monotonicity #123]: #125 +#129 := [monotonicity #126]: #128 +#132 := [monotonicity #129]: #131 +#135 := [quant-intro #132]: #134 +#101 := (iff #35 #100) +#98 := (iff #34 #97) +#95 := (= #33 #94) +#92 := (= #32 #91) +#89 := (= #31 #88) +#86 := (= #30 #85) +#87 := [rewrite]: #86 +#83 := (= #29 #82) +#84 := [rewrite]: #83 +#90 := [monotonicity #84 #87]: #89 +#93 := [monotonicity #90]: #92 +#96 := [monotonicity #93]: #95 +#99 := [monotonicity #96]: #98 +#102 := [quant-intro #99]: #101 +#137 := [trans #102 #135]: #136 +#79 := [asserted]: #35 +#138 := [mp #79 #137]: #133 +#187 := [mp~ #138 #196]: #133 +#218 := [mp #187 #217]: #215 +#249 := [mp #218 #248]: #246 +#746 := [mp #249 #745]: #741 +#67 := -3::Int #9 := (f4 f5 0::Int) -#57 := (f3 #9 -3::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -3::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := 3::Int #11 := (- 3::Int) #12 := (f3 #9 #11) #13 := (= #12 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #12 #57) -#55 := (= #11 -3::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#532 := (not #698) -#533 := (or #532 #60) -#359 := (* -1::Int -3::Int) -#685 := (* -1::Int 0::Int) -#360 := (div #685 #359) -#692 := (* -1::Int #360) -#693 := (+ #57 #692) -#694 := (= #693 0::Int) -#689 := (div 0::Int -3::Int) -#691 := (* -1::Int #689) -#348 := (+ #57 #691) -#478 := (= #348 0::Int) -#361 := (<= -3::Int 0::Int) -#374 := (>= 0::Int 0::Int) -#371 := (or #374 #361) -#375 := (not #371) -#370 := (<= 0::Int 0::Int) -#372 := (or #370 #361) -#373 := (not #372) -#354 := (or #373 #375) -#695 := (if #354 #478 #694) -#368 := (= -3::Int 0::Int) -#283 := (= 0::Int 0::Int) -#369 := (or #283 #368) -#690 := (if #369 #60 #695) -#526 := (or #532 #690) -#535 := (iff #526 #533) -#537 := (iff #533 #533) -#538 := [rewrite]: #537 -#515 := (iff #690 #60) -#1 := true -#629 := (if true #60 #60) -#627 := (iff #629 #60) -#630 := [rewrite]: #627 -#531 := (iff #690 #629) -#522 := (iff #695 #60) -#637 := (if false #60 #60) -#520 := (iff #637 #60) -#521 := [rewrite]: #520 -#635 := (iff #695 #637) -#634 := (iff #694 #60) -#480 := (= #693 #57) -#652 := (+ #57 0::Int) -#649 := (= #652 #57) -#650 := [rewrite]: #649 -#477 := (= #693 #652) -#641 := (= #692 0::Int) -#658 := (= #685 0::Int) -#662 := [rewrite]: #658 -#646 := (= #692 #685) -#639 := (= #360 0::Int) -#500 := (div 0::Int 3::Int) -#644 := (= #500 0::Int) -#645 := [rewrite]: #644 -#642 := (= #360 #500) -#498 := (= #359 3::Int) -#499 := [rewrite]: #498 -#643 := [monotonicity #662 #499]: #642 -#640 := [trans #643 #645]: #639 -#647 := [monotonicity #640]: #646 -#648 := [trans #647 #662]: #641 -#479 := [monotonicity #648]: #477 -#633 := [trans #479 #650]: #480 -#636 := [monotonicity #633]: #634 -#651 := (iff #478 #60) -#655 := (= #348 #57) -#653 := (= #348 #652) -#659 := (= #691 0::Int) -#661 := (= #691 #685) -#382 := (= #689 0::Int) -#660 := [rewrite]: #382 -#376 := [monotonicity #660]: #661 -#663 := [trans #376 #662]: #659 -#654 := [monotonicity #663]: #653 -#656 := [trans #654 #650]: #655 -#657 := [monotonicity #656]: #651 -#380 := (iff #354 false) -#664 := (or false false) -#669 := (iff #664 false) -#379 := [rewrite]: #669 -#668 := (iff #354 #664) -#389 := (iff #375 false) -#682 := (not true) -#683 := (iff #682 false) -#681 := [rewrite]: #683 -#666 := (iff #375 #682) -#396 := (iff #371 true) -#676 := (or true true) -#673 := (iff #676 true) -#679 := [rewrite]: #673 -#394 := (iff #371 #676) -#674 := (iff #361 true) -#675 := [rewrite]: #674 -#671 := (iff #374 true) -#393 := [rewrite]: #671 -#395 := [monotonicity #393 #675]: #394 -#289 := [trans #395 #679]: #396 -#667 := [monotonicity #289]: #666 -#390 := [trans #667 #681]: #389 -#684 := (iff #373 false) -#322 := (iff #373 #682) -#317 := (iff #372 true) -#677 := (iff #372 #676) -#337 := (iff #370 true) -#338 := [rewrite]: #337 -#678 := [monotonicity #338 #675]: #677 -#680 := [trans #678 #679]: #317 -#323 := [monotonicity #680]: #322 -#670 := [trans #323 #681]: #684 -#665 := [monotonicity #670 #390]: #668 -#381 := [trans #665 #379]: #380 -#638 := [monotonicity #381 #657 #636]: #635 -#481 := [trans #638 #521]: #522 -#335 := (iff #369 true) -#687 := (or true false) -#331 := (iff #687 true) -#672 := [rewrite]: #331 -#347 := (iff #369 #687) -#346 := (iff #368 false) -#351 := [rewrite]: #346 -#696 := (iff #283 true) -#686 := [rewrite]: #696 -#688 := [monotonicity #686 #351]: #347 -#336 := [trans #688 #672]: #335 -#626 := [monotonicity #336 #481]: #531 -#530 := [trans #626 #630]: #515 -#536 := [monotonicity #530]: #535 -#631 := [trans #536 #538]: #535 -#534 := [quant-inst #8 #54]: #526 -#628 := [mp #534 #631]: #533 -[unit-resolution #628 #66 #703]: false -6382d5aff89219a8ada90f5d3d58d36cd0bdab6f 306 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #12 #70) +#68 := (= #11 -3::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#575 := (not #741) +#576 := (or #575 #73) +#402 := (* -1::Int -3::Int) +#728 := (* -1::Int 0::Int) +#403 := (div #728 #402) +#735 := (* -1::Int #403) +#736 := (+ #70 #735) +#737 := (= #736 0::Int) +#732 := (div 0::Int -3::Int) +#734 := (* -1::Int #732) +#391 := (+ #70 #734) +#521 := (= #391 0::Int) +#404 := (<= -3::Int 0::Int) +#417 := (>= 0::Int 0::Int) +#414 := (or #417 #404) +#418 := (not #414) +#413 := (<= 0::Int 0::Int) +#415 := (or #413 #404) +#416 := (not #415) +#397 := (or #416 #418) +#738 := (if #397 #521 #737) +#411 := (= -3::Int 0::Int) +#327 := (= 0::Int 0::Int) +#412 := (or #327 #411) +#733 := (if #412 #73 #738) +#569 := (or #575 #733) +#578 := (iff #569 #576) +#580 := (iff #576 #576) +#581 := [rewrite]: #580 +#558 := (iff #733 #73) +#1 := true +#672 := (if true #73 #73) +#670 := (iff #672 #73) +#673 := [rewrite]: #670 +#574 := (iff #733 #672) +#565 := (iff #738 #73) +#680 := (if false #73 #73) +#563 := (iff #680 #73) +#564 := [rewrite]: #563 +#678 := (iff #738 #680) +#677 := (iff #737 #73) +#523 := (= #736 #70) +#695 := (+ #70 0::Int) +#692 := (= #695 #70) +#693 := [rewrite]: #692 +#520 := (= #736 #695) +#684 := (= #735 0::Int) +#701 := (= #728 0::Int) +#705 := [rewrite]: #701 +#689 := (= #735 #728) +#682 := (= #403 0::Int) +#543 := (div 0::Int 3::Int) +#687 := (= #543 0::Int) +#688 := [rewrite]: #687 +#685 := (= #403 #543) +#541 := (= #402 3::Int) +#542 := [rewrite]: #541 +#686 := [monotonicity #705 #542]: #685 +#683 := [trans #686 #688]: #682 +#690 := [monotonicity #683]: #689 +#691 := [trans #690 #705]: #684 +#522 := [monotonicity #691]: #520 +#676 := [trans #522 #693]: #523 +#679 := [monotonicity #676]: #677 +#694 := (iff #521 #73) +#698 := (= #391 #70) +#696 := (= #391 #695) +#702 := (= #734 0::Int) +#704 := (= #734 #728) +#425 := (= #732 0::Int) +#703 := [rewrite]: #425 +#419 := [monotonicity #703]: #704 +#706 := [trans #419 #705]: #702 +#697 := [monotonicity #706]: #696 +#699 := [trans #697 #693]: #698 +#700 := [monotonicity #699]: #694 +#423 := (iff #397 false) +#707 := (or false false) +#712 := (iff #707 false) +#422 := [rewrite]: #712 +#711 := (iff #397 #707) +#432 := (iff #418 false) +#725 := (not true) +#726 := (iff #725 false) +#724 := [rewrite]: #726 +#709 := (iff #418 #725) +#439 := (iff #414 true) +#719 := (or true true) +#716 := (iff #719 true) +#722 := [rewrite]: #716 +#437 := (iff #414 #719) +#717 := (iff #404 true) +#718 := [rewrite]: #717 +#714 := (iff #417 true) +#436 := [rewrite]: #714 +#438 := [monotonicity #436 #718]: #437 +#333 := [trans #438 #722]: #439 +#710 := [monotonicity #333]: #709 +#433 := [trans #710 #724]: #432 +#727 := (iff #416 false) +#365 := (iff #416 #725) +#360 := (iff #415 true) +#720 := (iff #415 #719) +#380 := (iff #413 true) +#381 := [rewrite]: #380 +#721 := [monotonicity #381 #718]: #720 +#723 := [trans #721 #722]: #360 +#366 := [monotonicity #723]: #365 +#713 := [trans #366 #724]: #727 +#708 := [monotonicity #713 #433]: #711 +#424 := [trans #708 #422]: #423 +#681 := [monotonicity #424 #700 #679]: #678 +#524 := [trans #681 #564]: #565 +#378 := (iff #412 true) +#730 := (or true false) +#374 := (iff #730 true) +#715 := [rewrite]: #374 +#390 := (iff #412 #730) +#389 := (iff #411 false) +#394 := [rewrite]: #389 +#739 := (iff #327 true) +#729 := [rewrite]: #739 +#731 := [monotonicity #729 #394]: #390 +#379 := [trans #731 #715]: #378 +#669 := [monotonicity #379 #524]: #574 +#573 := [trans #669 #673]: #558 +#579 := [monotonicity #573]: #578 +#674 := [trans #579 #581]: #578 +#577 := [quant-inst #8 #67]: #569 +#671 := [mp #577 #674]: #576 +[unit-resolution #671 #81 #746]: false +unsat +58560b4c08322ae7fbfadc81b6f10d1874a37205 290 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -29636,99 +27608,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#683 := (pattern #18) +#726 := (pattern #18) #12 := 0::Int -#80 := -1::Int -#84 := (* -1::Int #17) -#81 := (* -1::Int #15) -#87 := (div #81 #84) -#243 := (* -1::Int #87) -#244 := (+ #18 #243) -#245 := (= #244 0::Int) +#68 := -1::Int +#72 := (* -1::Int #17) +#69 := (* -1::Int #15) +#75 := (div #69 #72) +#226 := (* -1::Int #75) +#227 := (+ #18 #226) +#228 := (= #227 0::Int) #28 := (div #15 #17) -#240 := (* -1::Int #28) -#241 := (+ #18 #240) -#242 := (= #241 0::Int) -#58 := (<= #17 0::Int) -#150 := (>= #15 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #15 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#246 := (if #207 #242 #245) -#239 := (= #18 0::Int) +#223 := (* -1::Int #28) +#224 := (+ #18 #223) +#225 := (= #224 0::Int) +#94 := (<= #17 0::Int) +#101 := (>= #15 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #15 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#229 := (if #190 #225 #228) +#222 := (= #18 0::Int) #20 := (= #17 0::Int) #19 := (= #15 0::Int) #21 := (or #19 #20) -#247 := (if #21 #239 #246) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #247) -#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) -#687 := (iff #250 #684) -#685 := (iff #247 #247) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#210 := (if #207 #28 #87) -#213 := (if #21 0::Int #210) -#216 := (= #18 #213) -#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) -#251 := (iff #219 #250) -#248 := (iff #216 #247) -#249 := [rewrite]: #248 -#252 := [quant-intro #249]: #251 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#162 := (if #159 #28 #87) -#165 := (if #21 0::Int #162) -#168 := (= #18 #165) -#171 := (forall (vars (?v0 Int) (?v1 Int)) #168) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#214 := (= #165 #213) -#211 := (= #162 #210) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [monotonicity #212]: #214 -#218 := [monotonicity #215]: #217 -#221 := [quant-intro #218]: #220 -#195 := (~ #171 #171) -#193 := (~ #168 #168) -#194 := [refl]: #193 -#196 := [nnf-pos #194]: #195 -#65 := (<= 0::Int #15) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#90 := (if #77 #28 #87) -#93 := (if #21 0::Int #90) -#96 := (= #18 #93) -#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) -#172 := (iff #99 #171) -#169 := (iff #96 #168) -#166 := (= #93 #165) -#163 := (= #90 #162) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [monotonicity #161]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [quant-intro #170]: #172 +#230 := (if #21 #222 #229) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #230) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#730 := (iff #233 #727) +#728 := (iff #230 #230) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#193 := (if #190 #28 #75) +#196 := (if #21 0::Int #193) +#199 := (= #18 #196) +#202 := (forall (vars (?v0 Int) (?v1 Int)) #199) +#234 := (iff #202 #233) +#231 := (iff #199 #230) +#232 := [rewrite]: #231 +#235 := [quant-intro #232]: #234 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#111 := (if #108 #28 #75) +#114 := (if #21 0::Int #111) +#117 := (= #18 #114) +#120 := (forall (vars (?v0 Int) (?v1 Int)) #117) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#197 := (= #114 #196) +#194 := (= #111 #193) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#195 := [monotonicity #192]: #194 +#198 := [monotonicity #195]: #197 +#201 := [monotonicity #198]: #200 +#204 := [quant-intro #201]: #203 +#182 := (~ #120 #120) +#180 := (~ #117 #117) +#181 := [refl]: #180 +#183 := [nnf-pos #181]: #182 #30 := (- #17) #29 := (- #15) #31 := (div #29 #30) @@ -29742,198 +27690,206 @@ #33 := (if #21 0::Int #32) #34 := (= #18 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#100 := (iff #35 #99) -#97 := (iff #34 #96) -#94 := (= #33 #93) -#91 := (= #32 #90) -#88 := (= #31 #87) -#85 := (= #30 #84) -#86 := [rewrite]: #85 -#82 := (= #29 #81) -#83 := [rewrite]: #82 -#89 := [monotonicity #83 #86]: #88 -#78 := (iff #27 #77) -#75 := (iff #26 #74) -#60 := (iff #23 #59) -#61 := [rewrite]: #60 -#67 := (iff #25 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #24 #62) -#56 := (iff #22 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#92 := [monotonicity #79 #89]: #91 -#95 := [monotonicity #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [quant-intro #98]: #100 -#49 := [asserted]: #35 -#102 := [mp #49 #101]: #99 -#174 := [mp #102 #173]: #171 -#148 := [mp~ #174 #196]: #171 -#222 := [mp #148 #221]: #219 -#253 := [mp #222 #252]: #250 -#689 := [mp #253 #688]: #684 +#123 := (iff #35 #120) +#78 := (if #27 #28 #75) +#81 := (if #21 0::Int #78) +#84 := (= #18 #81) +#87 := (forall (vars (?v0 Int) (?v1 Int)) #84) +#121 := (iff #87 #120) +#118 := (iff #84 #117) +#115 := (= #81 #114) +#112 := (= #78 #111) +#109 := (iff #27 #108) +#106 := (iff #26 #105) +#96 := (iff #23 #95) +#97 := [rewrite]: #96 +#103 := (iff #25 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #24 #98) +#92 := (iff #22 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [monotonicity #116]: #118 +#122 := [quant-intro #119]: #121 +#88 := (iff #35 #87) +#85 := (iff #34 #84) +#82 := (= #33 #81) +#79 := (= #32 #78) +#76 := (= #31 #75) +#73 := (= #30 #72) +#74 := [rewrite]: #73 +#70 := (= #29 #69) +#71 := [rewrite]: #70 +#77 := [monotonicity #71 #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#89 := [quant-intro #86]: #88 +#124 := [trans #89 #122]: #123 +#67 := [asserted]: #35 +#125 := [mp #67 #124]: #120 +#174 := [mp~ #125 #183]: #120 +#205 := [mp #174 #204]: #202 +#236 := [mp #205 #235]: #233 +#732 := [mp #236 #731]: #727 #10 := 3::Int #8 := 1::Int #9 := (f4 f5 1::Int) #11 := (f3 #9 3::Int) #13 := (= #11 0::Int) #14 := (not #13) -#48 := [asserted]: #14 -#596 := (not #684) -#598 := (or #596 #13) -#345 := (* -1::Int 3::Int) -#671 := (* -1::Int 1::Int) -#346 := (div #671 #345) -#678 := (* -1::Int #346) -#679 := (+ #11 #678) -#680 := (= #679 0::Int) -#675 := (div 1::Int 3::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 3::Int 0::Int) -#360 := (>= 1::Int 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= 1::Int 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#681 := (if #340 #464 #680) -#354 := (= 3::Int 0::Int) -#270 := (= 1::Int 0::Int) -#355 := (or #270 #354) -#676 := (if #355 #13 #681) -#608 := (or #596 #676) -#610 := (iff #608 #598) -#611 := (iff #598 #598) -#600 := [rewrite]: #611 -#607 := (iff #676 #13) -#524 := (if false #13 #13) -#618 := (iff #524 #13) -#605 := [rewrite]: #618 -#617 := (iff #676 #524) -#522 := (iff #681 #13) -#612 := (= #11 1::Int) -#1 := true -#518 := (if true #13 #612) -#520 := (iff #518 #13) -#521 := [rewrite]: #520 -#519 := (iff #681 #518) -#501 := (iff #680 #612) -#621 := (+ -1::Int #11) -#467 := (= #621 0::Int) -#613 := (iff #467 #612) -#616 := [rewrite]: #613 -#615 := (iff #680 #467) -#507 := (= #679 #621) -#620 := (+ #11 -1::Int) -#624 := (= #620 #621) -#506 := [rewrite]: #624 -#622 := (= #679 #620) -#466 := (= #678 -1::Int) -#485 := (= #671 -1::Int) -#486 := [rewrite]: #485 -#463 := (= #678 #671) -#627 := (= #346 1::Int) -#628 := -3::Int -#631 := (div -1::Int -3::Int) -#632 := (= #631 1::Int) -#633 := [rewrite]: #632 -#625 := (= #346 #631) -#629 := (= #345 -3::Int) -#630 := [rewrite]: #629 -#626 := [monotonicity #486 #630]: #625 -#634 := [trans #626 #633]: #627 -#465 := [monotonicity #634]: #463 -#619 := [trans #465 #486]: #466 -#623 := [monotonicity #619]: #622 -#508 := [trans #623 #506]: #507 -#517 := [monotonicity #508]: #615 -#516 := [trans #517 #616]: #501 -#643 := (iff #464 #13) -#642 := (= #334 #11) -#639 := (+ #11 0::Int) -#636 := (= #639 #11) -#641 := [rewrite]: #636 -#640 := (= #334 #639) -#649 := (= #677 0::Int) -#647 := (* -1::Int 0::Int) -#648 := (= #647 0::Int) -#645 := [rewrite]: #648 -#362 := (= #677 #647) -#368 := (= #675 0::Int) -#646 := [rewrite]: #368 -#644 := [monotonicity #646]: #362 -#638 := [trans #644 #645]: #649 -#635 := [monotonicity #638]: #640 -#637 := [trans #635 #641]: #642 -#484 := [monotonicity #637]: #643 -#366 := (iff #340 true) -#656 := (or true false) -#380 := (iff #656 true) -#381 := [rewrite]: #380 -#655 := (iff #340 #656) -#654 := (iff #361 false) -#652 := (not true) -#376 := (iff #652 false) -#650 := [rewrite]: #376 -#653 := (iff #361 #652) -#382 := (iff #357 true) -#657 := (iff #357 #656) -#660 := (iff #347 false) -#661 := [rewrite]: #660 -#667 := (iff #360 true) -#670 := [rewrite]: #667 -#379 := [monotonicity #670 #661]: #657 -#276 := [trans #379 #381]: #382 -#375 := [monotonicity #276]: #653 -#651 := [trans #375 #650]: #654 -#309 := (iff #359 true) -#665 := (not false) -#668 := (iff #665 true) -#308 := [rewrite]: #668 -#303 := (iff #359 #665) -#664 := (iff #358 false) -#673 := (or false false) -#317 := (iff #673 false) -#658 := [rewrite]: #317 -#662 := (iff #358 #673) -#323 := (iff #356 false) -#324 := [rewrite]: #323 -#663 := [monotonicity #324 #661]: #662 -#659 := [trans #663 #658]: #664 -#666 := [monotonicity #659]: #303 -#669 := [trans #666 #308]: #309 -#365 := [monotonicity #669 #651]: #655 -#367 := [trans #365 #381]: #366 -#512 := [monotonicity #367 #484 #516]: #519 -#523 := [trans #512 #521]: #522 -#321 := (iff #355 false) -#333 := (iff #355 #673) -#332 := (iff #354 false) -#337 := [rewrite]: #332 -#682 := (iff #270 false) -#672 := [rewrite]: #682 -#674 := [monotonicity #672 #337]: #333 -#322 := [trans #674 #658]: #321 -#614 := [monotonicity #322 #523]: #617 -#599 := [trans #614 #605]: #607 -#606 := [monotonicity #599]: #610 -#601 := [trans #606 #600]: #610 -#609 := [quant-inst #8 #10]: #608 -#602 := [mp #609 #601]: #598 -[unit-resolution #602 #48 #689]: false -edcd41cd053f07265d5fea261f85739d8063959d 296 0 -unsat +#66 := [asserted]: #14 +#639 := (not #727) +#641 := (or #639 #13) +#388 := (* -1::Int 3::Int) +#714 := (* -1::Int 1::Int) +#389 := (div #714 #388) +#721 := (* -1::Int #389) +#722 := (+ #11 #721) +#723 := (= #722 0::Int) +#718 := (div 1::Int 3::Int) +#720 := (* -1::Int #718) +#377 := (+ #11 #720) +#507 := (= #377 0::Int) +#390 := (<= 3::Int 0::Int) +#403 := (>= 1::Int 0::Int) +#400 := (or #403 #390) +#404 := (not #400) +#399 := (<= 1::Int 0::Int) +#401 := (or #399 #390) +#402 := (not #401) +#383 := (or #402 #404) +#724 := (if #383 #507 #723) +#397 := (= 3::Int 0::Int) +#313 := (= 1::Int 0::Int) +#398 := (or #313 #397) +#719 := (if #398 #13 #724) +#651 := (or #639 #719) +#653 := (iff #651 #641) +#654 := (iff #641 #641) +#643 := [rewrite]: #654 +#650 := (iff #719 #13) +#567 := (if false #13 #13) +#661 := (iff #567 #13) +#648 := [rewrite]: #661 +#660 := (iff #719 #567) +#565 := (iff #724 #13) +#655 := (= #11 1::Int) +#1 := true +#561 := (if true #13 #655) +#563 := (iff #561 #13) +#564 := [rewrite]: #563 +#562 := (iff #724 #561) +#544 := (iff #723 #655) +#664 := (+ -1::Int #11) +#510 := (= #664 0::Int) +#656 := (iff #510 #655) +#659 := [rewrite]: #656 +#658 := (iff #723 #510) +#550 := (= #722 #664) +#663 := (+ #11 -1::Int) +#667 := (= #663 #664) +#549 := [rewrite]: #667 +#665 := (= #722 #663) +#509 := (= #721 -1::Int) +#528 := (= #714 -1::Int) +#529 := [rewrite]: #528 +#506 := (= #721 #714) +#670 := (= #389 1::Int) +#671 := -3::Int +#674 := (div -1::Int -3::Int) +#675 := (= #674 1::Int) +#676 := [rewrite]: #675 +#668 := (= #389 #674) +#672 := (= #388 -3::Int) +#673 := [rewrite]: #672 +#669 := [monotonicity #529 #673]: #668 +#677 := [trans #669 #676]: #670 +#508 := [monotonicity #677]: #506 +#662 := [trans #508 #529]: #509 +#666 := [monotonicity #662]: #665 +#551 := [trans #666 #549]: #550 +#560 := [monotonicity #551]: #658 +#559 := [trans #560 #659]: #544 +#686 := (iff #507 #13) +#685 := (= #377 #11) +#682 := (+ #11 0::Int) +#679 := (= #682 #11) +#684 := [rewrite]: #679 +#683 := (= #377 #682) +#692 := (= #720 0::Int) +#690 := (* -1::Int 0::Int) +#691 := (= #690 0::Int) +#688 := [rewrite]: #691 +#405 := (= #720 #690) +#411 := (= #718 0::Int) +#689 := [rewrite]: #411 +#687 := [monotonicity #689]: #405 +#681 := [trans #687 #688]: #692 +#678 := [monotonicity #681]: #683 +#680 := [trans #678 #684]: #685 +#527 := [monotonicity #680]: #686 +#409 := (iff #383 true) +#699 := (or true false) +#423 := (iff #699 true) +#424 := [rewrite]: #423 +#698 := (iff #383 #699) +#697 := (iff #404 false) +#695 := (not true) +#419 := (iff #695 false) +#693 := [rewrite]: #419 +#696 := (iff #404 #695) +#425 := (iff #400 true) +#700 := (iff #400 #699) +#703 := (iff #390 false) +#704 := [rewrite]: #703 +#710 := (iff #403 true) +#713 := [rewrite]: #710 +#422 := [monotonicity #713 #704]: #700 +#319 := [trans #422 #424]: #425 +#418 := [monotonicity #319]: #696 +#694 := [trans #418 #693]: #697 +#352 := (iff #402 true) +#708 := (not false) +#711 := (iff #708 true) +#351 := [rewrite]: #711 +#346 := (iff #402 #708) +#707 := (iff #401 false) +#716 := (or false false) +#360 := (iff #716 false) +#701 := [rewrite]: #360 +#705 := (iff #401 #716) +#366 := (iff #399 false) +#367 := [rewrite]: #366 +#706 := [monotonicity #367 #704]: #705 +#702 := [trans #706 #701]: #707 +#709 := [monotonicity #702]: #346 +#712 := [trans #709 #351]: #352 +#408 := [monotonicity #712 #694]: #698 +#410 := [trans #408 #424]: #409 +#555 := [monotonicity #410 #527 #559]: #562 +#566 := [trans #555 #564]: #565 +#364 := (iff #398 false) +#376 := (iff #398 #716) +#375 := (iff #397 false) +#380 := [rewrite]: #375 +#725 := (iff #313 false) +#715 := [rewrite]: #725 +#717 := [monotonicity #715 #380]: #376 +#365 := [trans #717 #701]: #364 +#657 := [monotonicity #365 #566]: #660 +#642 := [trans #657 #648]: #650 +#649 := [monotonicity #642]: #653 +#644 := [trans #649 #643]: #653 +#652 := [quant-inst #8 #10]: #651 +#645 := [mp #652 #644]: #641 +[unit-resolution #645 #66 #732]: false +unsat +a76887b4238113dd2f0fd0fc574d57f879ea15c2 280 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -29943,99 +27899,75 @@ #7 := f5 #15 := (f4 f5 #14) #17 := (f3 #15 #16) -#683 := (pattern #17) +#726 := (pattern #17) #18 := 0::Int -#80 := -1::Int -#84 := (* -1::Int #16) -#81 := (* -1::Int #14) -#87 := (div #81 #84) -#243 := (* -1::Int #87) -#244 := (+ #17 #243) -#245 := (= #244 0::Int) +#68 := -1::Int +#72 := (* -1::Int #16) +#69 := (* -1::Int #14) +#75 := (div #69 #72) +#226 := (* -1::Int #75) +#227 := (+ #17 #226) +#228 := (= #227 0::Int) #28 := (div #14 #16) -#240 := (* -1::Int #28) -#241 := (+ #17 #240) -#242 := (= #241 0::Int) -#58 := (<= #16 0::Int) -#150 := (>= #14 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #14 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#246 := (if #207 #242 #245) -#239 := (= #17 0::Int) +#223 := (* -1::Int #28) +#224 := (+ #17 #223) +#225 := (= #224 0::Int) +#94 := (<= #16 0::Int) +#101 := (>= #14 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #14 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#229 := (if #190 #225 #228) +#222 := (= #17 0::Int) #20 := (= #16 0::Int) #19 := (= #14 0::Int) #21 := (or #19 #20) -#247 := (if #21 #239 #246) -#684 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #683) #247) -#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) -#687 := (iff #250 #684) -#685 := (iff #247 #247) -#686 := [refl]: #685 -#688 := [quant-intro #686]: #687 -#210 := (if #207 #28 #87) -#213 := (if #21 0::Int #210) -#216 := (= #17 #213) -#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) -#251 := (iff #219 #250) -#248 := (iff #216 #247) -#249 := [rewrite]: #248 -#252 := [quant-intro #249]: #251 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#162 := (if #159 #28 #87) -#165 := (if #21 0::Int #162) -#168 := (= #17 #165) -#171 := (forall (vars (?v0 Int) (?v1 Int)) #168) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#214 := (= #165 #213) -#211 := (= #162 #210) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [monotonicity #212]: #214 -#218 := [monotonicity #215]: #217 -#221 := [quant-intro #218]: #220 -#195 := (~ #171 #171) -#193 := (~ #168 #168) -#194 := [refl]: #193 -#196 := [nnf-pos #194]: #195 -#65 := (<= 0::Int #14) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#90 := (if #77 #28 #87) -#93 := (if #21 0::Int #90) -#96 := (= #17 #93) -#99 := (forall (vars (?v0 Int) (?v1 Int)) #96) -#172 := (iff #99 #171) -#169 := (iff #96 #168) -#166 := (= #93 #165) -#163 := (= #90 #162) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#164 := [monotonicity #161]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [quant-intro #170]: #172 +#230 := (if #21 #222 #229) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #230) +#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) +#730 := (iff #233 #727) +#728 := (iff #230 #230) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#193 := (if #190 #28 #75) +#196 := (if #21 0::Int #193) +#199 := (= #17 #196) +#202 := (forall (vars (?v0 Int) (?v1 Int)) #199) +#234 := (iff #202 #233) +#231 := (iff #199 #230) +#232 := [rewrite]: #231 +#235 := [quant-intro #232]: #234 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#111 := (if #108 #28 #75) +#114 := (if #21 0::Int #111) +#117 := (= #17 #114) +#120 := (forall (vars (?v0 Int) (?v1 Int)) #117) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#197 := (= #114 #196) +#194 := (= #111 #193) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#195 := [monotonicity #192]: #194 +#198 := [monotonicity #195]: #197 +#201 := [monotonicity #198]: #200 +#204 := [quant-intro #201]: #203 +#182 := (~ #120 #120) +#180 := (~ #117 #117) +#181 := [refl]: #180 +#183 := [nnf-pos #181]: #182 #30 := (- #16) #29 := (- #14) #31 := (div #29 #30) @@ -30049,188 +27981,196 @@ #33 := (if #21 0::Int #32) #34 := (= #17 #33) #35 := (forall (vars (?v0 Int) (?v1 Int)) #34) -#100 := (iff #35 #99) -#97 := (iff #34 #96) -#94 := (= #33 #93) -#91 := (= #32 #90) -#88 := (= #31 #87) -#85 := (= #30 #84) -#86 := [rewrite]: #85 -#82 := (= #29 #81) -#83 := [rewrite]: #82 -#89 := [monotonicity #83 #86]: #88 -#78 := (iff #27 #77) -#75 := (iff #26 #74) -#60 := (iff #23 #59) -#61 := [rewrite]: #60 -#67 := (iff #25 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #24 #62) -#56 := (iff #22 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#92 := [monotonicity #79 #89]: #91 -#95 := [monotonicity #92]: #94 -#98 := [monotonicity #95]: #97 -#101 := [quant-intro #98]: #100 -#49 := [asserted]: #35 -#102 := [mp #49 #101]: #99 -#174 := [mp #102 #173]: #171 -#148 := [mp~ #174 #196]: #171 -#222 := [mp #148 #221]: #219 -#253 := [mp #222 #252]: #250 -#689 := [mp #253 #688]: #684 +#123 := (iff #35 #120) +#78 := (if #27 #28 #75) +#81 := (if #21 0::Int #78) +#84 := (= #17 #81) +#87 := (forall (vars (?v0 Int) (?v1 Int)) #84) +#121 := (iff #87 #120) +#118 := (iff #84 #117) +#115 := (= #81 #114) +#112 := (= #78 #111) +#109 := (iff #27 #108) +#106 := (iff #26 #105) +#96 := (iff #23 #95) +#97 := [rewrite]: #96 +#103 := (iff #25 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #24 #98) +#92 := (iff #22 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [monotonicity #116]: #118 +#122 := [quant-intro #119]: #121 +#88 := (iff #35 #87) +#85 := (iff #34 #84) +#82 := (= #33 #81) +#79 := (= #32 #78) +#76 := (= #31 #75) +#73 := (= #30 #72) +#74 := [rewrite]: #73 +#70 := (= #29 #69) +#71 := [rewrite]: #70 +#77 := [monotonicity #71 #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#89 := [quant-intro #86]: #88 +#124 := [trans #89 #122]: #123 +#67 := [asserted]: #35 +#125 := [mp #67 #124]: #120 +#174 := [mp~ #125 #183]: #120 +#205 := [mp #174 #204]: #202 +#236 := [mp #205 #235]: #233 +#732 := [mp #236 #731]: #727 #11 := 1::Int #8 := 3::Int #9 := (f4 f5 3::Int) #10 := (f3 #9 3::Int) #12 := (= #10 1::Int) #13 := (not #12) -#48 := [asserted]: #13 -#521 := (not #684) -#522 := (or #521 #12) -#464 := (* -1::Int 3::Int) -#671 := (div #464 #464) -#345 := (* -1::Int #671) -#346 := (+ #10 #345) -#678 := (= #346 0::Int) -#340 := (div 3::Int 3::Int) -#675 := (* -1::Int #340) -#677 := (+ #10 #675) -#334 := (= #677 0::Int) -#356 := (<= 3::Int 0::Int) -#359 := (>= 3::Int 0::Int) -#360 := (or #359 #356) -#357 := (not #360) -#347 := (or #356 #356) -#358 := (not #347) -#361 := (or #358 #357) -#679 := (if #361 #334 #678) -#355 := (= #10 0::Int) -#270 := (= 3::Int 0::Int) -#354 := (or #270 #270) -#680 := (if #354 #355 #679) -#523 := (or #521 #680) -#617 := (iff #523 #522) -#618 := (iff #522 #522) -#605 := [rewrite]: #618 -#512 := (iff #680 #12) -#616 := (if false #355 #12) -#518 := (iff #616 #12) -#519 := [rewrite]: #518 -#501 := (iff #680 #616) -#612 := (iff #679 #12) -#1 := true -#507 := (if true #12 #12) -#615 := (iff #507 #12) -#517 := [rewrite]: #615 -#508 := (iff #679 #507) -#624 := (iff #678 #12) -#645 := (+ -1::Int #10) -#635 := (= #645 0::Int) -#642 := (iff #635 #12) -#637 := [rewrite]: #642 -#623 := (iff #678 #635) -#620 := (= #346 #645) -#362 := (+ #10 -1::Int) -#649 := (= #362 #645) -#638 := [rewrite]: #649 -#466 := (= #346 #362) -#463 := (= #345 -1::Int) -#655 := (* -1::Int 1::Int) -#367 := (= #655 -1::Int) -#368 := [rewrite]: #367 -#627 := (= #345 #655) -#632 := (= #671 1::Int) -#485 := -3::Int -#629 := (div -3::Int -3::Int) -#625 := (= #629 1::Int) -#626 := [rewrite]: #625 -#630 := (= #671 #629) -#486 := (= #464 -3::Int) -#628 := [rewrite]: #486 -#631 := [monotonicity #628 #628]: #630 -#633 := [trans #631 #626]: #632 -#634 := [monotonicity #633]: #627 -#465 := [trans #634 #368]: #463 -#619 := [monotonicity #465]: #466 -#622 := [trans #619 #638]: #620 -#621 := [monotonicity #622]: #623 -#506 := [trans #621 #637]: #624 -#643 := (iff #334 #12) -#636 := (iff #334 #635) -#639 := (= #677 #645) -#644 := (= #677 #362) -#646 := (= #675 -1::Int) -#365 := (= #675 #655) -#654 := (= #340 1::Int) -#651 := [rewrite]: #654 -#366 := [monotonicity #651]: #365 -#647 := [trans #366 #368]: #646 -#648 := [monotonicity #647]: #644 -#640 := [trans #648 #638]: #639 -#641 := [monotonicity #640]: #636 -#484 := [trans #641 #637]: #643 -#376 := (iff #361 true) -#668 := (or true false) -#669 := (iff #668 true) -#667 := [rewrite]: #669 -#653 := (iff #361 #668) -#276 := (iff #357 false) -#657 := (not true) -#381 := (iff #657 false) -#382 := [rewrite]: #381 -#379 := (iff #357 #657) -#670 := (iff #360 true) -#308 := (iff #360 #668) -#317 := (iff #356 false) -#658 := [rewrite]: #317 -#303 := (iff #359 true) -#666 := [rewrite]: #303 -#309 := [monotonicity #666 #658]: #308 -#656 := [trans #309 #667]: #670 -#380 := [monotonicity #656]: #379 -#652 := [trans #380 #382]: #276 -#659 := (iff #358 true) -#660 := (not false) -#663 := (iff #660 true) -#664 := [rewrite]: #663 -#661 := (iff #358 #660) -#323 := (iff #347 false) -#682 := (or false false) -#337 := (iff #682 false) -#673 := [rewrite]: #337 -#321 := (iff #347 #682) -#322 := [monotonicity #658 #658]: #321 -#324 := [trans #322 #673]: #323 -#662 := [monotonicity #324]: #661 -#665 := [trans #662 #664]: #659 -#375 := [monotonicity #665 #652]: #653 -#650 := [trans #375 #667]: #376 -#467 := [monotonicity #650 #484 #506]: #508 -#613 := [trans #467 #517]: #612 -#333 := (iff #354 false) -#672 := (iff #354 #682) -#681 := (iff #270 false) -#676 := [rewrite]: #681 -#332 := [monotonicity #676 #676]: #672 -#674 := [trans #332 #673]: #333 -#516 := [monotonicity #674 #613]: #501 -#520 := [trans #516 #519]: #512 -#614 := [monotonicity #520]: #617 -#607 := [trans #614 #605]: #617 -#524 := [quant-inst #8 #8]: #523 -#599 := [mp #524 #607]: #522 -[unit-resolution #599 #48 #689]: false -2aeb178d5528960841f3f6a1d0552953e056dd91 320 0 -unsat +#66 := [asserted]: #13 +#564 := (not #727) +#565 := (or #564 #12) +#507 := (* -1::Int 3::Int) +#714 := (div #507 #507) +#388 := (* -1::Int #714) +#389 := (+ #10 #388) +#721 := (= #389 0::Int) +#383 := (div 3::Int 3::Int) +#718 := (* -1::Int #383) +#720 := (+ #10 #718) +#377 := (= #720 0::Int) +#399 := (<= 3::Int 0::Int) +#402 := (>= 3::Int 0::Int) +#403 := (or #402 #399) +#400 := (not #403) +#390 := (or #399 #399) +#401 := (not #390) +#404 := (or #401 #400) +#722 := (if #404 #377 #721) +#398 := (= #10 0::Int) +#313 := (= 3::Int 0::Int) +#397 := (or #313 #313) +#723 := (if #397 #398 #722) +#566 := (or #564 #723) +#660 := (iff #566 #565) +#661 := (iff #565 #565) +#648 := [rewrite]: #661 +#555 := (iff #723 #12) +#659 := (if false #398 #12) +#561 := (iff #659 #12) +#562 := [rewrite]: #561 +#544 := (iff #723 #659) +#655 := (iff #722 #12) +#1 := true +#550 := (if true #12 #12) +#658 := (iff #550 #12) +#560 := [rewrite]: #658 +#551 := (iff #722 #550) +#667 := (iff #721 #12) +#688 := (+ -1::Int #10) +#678 := (= #688 0::Int) +#685 := (iff #678 #12) +#680 := [rewrite]: #685 +#666 := (iff #721 #678) +#663 := (= #389 #688) +#405 := (+ #10 -1::Int) +#692 := (= #405 #688) +#681 := [rewrite]: #692 +#509 := (= #389 #405) +#506 := (= #388 -1::Int) +#698 := (* -1::Int 1::Int) +#410 := (= #698 -1::Int) +#411 := [rewrite]: #410 +#670 := (= #388 #698) +#675 := (= #714 1::Int) +#528 := -3::Int +#672 := (div -3::Int -3::Int) +#668 := (= #672 1::Int) +#669 := [rewrite]: #668 +#673 := (= #714 #672) +#529 := (= #507 -3::Int) +#671 := [rewrite]: #529 +#674 := [monotonicity #671 #671]: #673 +#676 := [trans #674 #669]: #675 +#677 := [monotonicity #676]: #670 +#508 := [trans #677 #411]: #506 +#662 := [monotonicity #508]: #509 +#665 := [trans #662 #681]: #663 +#664 := [monotonicity #665]: #666 +#549 := [trans #664 #680]: #667 +#686 := (iff #377 #12) +#679 := (iff #377 #678) +#682 := (= #720 #688) +#687 := (= #720 #405) +#689 := (= #718 -1::Int) +#408 := (= #718 #698) +#697 := (= #383 1::Int) +#694 := [rewrite]: #697 +#409 := [monotonicity #694]: #408 +#690 := [trans #409 #411]: #689 +#691 := [monotonicity #690]: #687 +#683 := [trans #691 #681]: #682 +#684 := [monotonicity #683]: #679 +#527 := [trans #684 #680]: #686 +#419 := (iff #404 true) +#711 := (or true false) +#712 := (iff #711 true) +#710 := [rewrite]: #712 +#696 := (iff #404 #711) +#319 := (iff #400 false) +#700 := (not true) +#424 := (iff #700 false) +#425 := [rewrite]: #424 +#422 := (iff #400 #700) +#713 := (iff #403 true) +#351 := (iff #403 #711) +#360 := (iff #399 false) +#701 := [rewrite]: #360 +#346 := (iff #402 true) +#709 := [rewrite]: #346 +#352 := [monotonicity #709 #701]: #351 +#699 := [trans #352 #710]: #713 +#423 := [monotonicity #699]: #422 +#695 := [trans #423 #425]: #319 +#702 := (iff #401 true) +#703 := (not false) +#706 := (iff #703 true) +#707 := [rewrite]: #706 +#704 := (iff #401 #703) +#366 := (iff #390 false) +#725 := (or false false) +#380 := (iff #725 false) +#716 := [rewrite]: #380 +#364 := (iff #390 #725) +#365 := [monotonicity #701 #701]: #364 +#367 := [trans #365 #716]: #366 +#705 := [monotonicity #367]: #704 +#708 := [trans #705 #707]: #702 +#418 := [monotonicity #708 #695]: #696 +#693 := [trans #418 #710]: #419 +#510 := [monotonicity #693 #527 #549]: #551 +#656 := [trans #510 #560]: #655 +#376 := (iff #397 false) +#715 := (iff #397 #725) +#724 := (iff #313 false) +#719 := [rewrite]: #724 +#375 := [monotonicity #719 #719]: #715 +#717 := [trans #375 #716]: #376 +#559 := [monotonicity #717 #656]: #544 +#563 := [trans #559 #562]: #555 +#657 := [monotonicity #563]: #660 +#650 := [trans #657 #648]: #660 +#567 := [quant-inst #8 #8]: #566 +#642 := [mp #567 #650]: #565 +[unit-resolution #642 #66 #732]: false +unsat +3e19a3704b0d883148b4ca12556acf9eedeb8436 304 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -30240,99 +28180,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#684 := (pattern #18) +#726 := (pattern #18) #19 := 0::Int -#81 := -1::Int -#85 := (* -1::Int #17) -#82 := (* -1::Int #15) -#88 := (div #82 #85) -#244 := (* -1::Int #88) -#245 := (+ #18 #244) -#246 := (= #245 0::Int) +#69 := -1::Int +#73 := (* -1::Int #17) +#70 := (* -1::Int #15) +#76 := (div #70 #73) +#227 := (* -1::Int #76) +#228 := (+ #18 #227) +#229 := (= #228 0::Int) #29 := (div #15 #17) -#241 := (* -1::Int #29) -#242 := (+ #18 #241) -#243 := (= #242 0::Int) -#59 := (<= #17 0::Int) -#151 := (>= #15 0::Int) -#204 := (or #151 #59) -#205 := (not #204) -#55 := (<= #15 0::Int) -#200 := (or #55 #59) -#201 := (not #200) -#208 := (or #201 #205) -#247 := (if #208 #243 #246) -#240 := (= #18 0::Int) +#224 := (* -1::Int #29) +#225 := (+ #18 #224) +#226 := (= #225 0::Int) +#95 := (<= #17 0::Int) +#102 := (>= #15 0::Int) +#187 := (or #102 #95) +#188 := (not #187) +#91 := (<= #15 0::Int) +#185 := (or #91 #95) +#186 := (not #185) +#191 := (or #186 #188) +#230 := (if #191 #226 #229) +#223 := (= #18 0::Int) #21 := (= #17 0::Int) #20 := (= #15 0::Int) #22 := (or #20 #21) -#248 := (if #22 #240 #247) -#685 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #684) #248) -#251 := (forall (vars (?v0 Int) (?v1 Int)) #248) -#688 := (iff #251 #685) -#686 := (iff #248 #248) -#687 := [refl]: #686 -#689 := [quant-intro #687]: #688 -#211 := (if #208 #29 #88) -#214 := (if #22 0::Int #211) -#217 := (= #18 #214) -#220 := (forall (vars (?v0 Int) (?v1 Int)) #217) -#252 := (iff #220 #251) -#249 := (iff #217 #248) -#250 := [rewrite]: #249 -#253 := [quant-intro #250]: #252 -#60 := (not #59) -#154 := (not #151) -#157 := (and #154 #60) -#56 := (not #55) -#63 := (and #56 #60) -#160 := (or #63 #157) -#163 := (if #160 #29 #88) -#166 := (if #22 0::Int #163) -#169 := (= #18 #166) -#172 := (forall (vars (?v0 Int) (?v1 Int)) #169) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#215 := (= #166 #214) -#212 := (= #163 #211) -#209 := (iff #160 #208) -#206 := (iff #157 #205) -#207 := [rewrite]: #206 -#202 := (iff #63 #201) -#203 := [rewrite]: #202 -#210 := [monotonicity #203 #207]: #209 -#213 := [monotonicity #210]: #212 -#216 := [monotonicity #213]: #215 -#219 := [monotonicity #216]: #218 -#222 := [quant-intro #219]: #221 -#149 := (~ #172 #172) -#192 := (~ #169 #169) -#193 := [refl]: #192 -#150 := [nnf-pos #193]: #149 -#66 := (<= 0::Int #15) -#67 := (not #66) -#75 := (and #67 #60) -#78 := (or #63 #75) -#91 := (if #78 #29 #88) -#94 := (if #22 0::Int #91) -#97 := (= #18 #94) -#100 := (forall (vars (?v0 Int) (?v1 Int)) #97) -#173 := (iff #100 #172) -#170 := (iff #97 #169) -#167 := (= #94 #166) -#164 := (= #91 #163) -#161 := (iff #78 #160) -#158 := (iff #75 #157) -#155 := (iff #67 #154) -#152 := (iff #66 #151) -#153 := [rewrite]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#162 := [monotonicity #159]: #161 -#165 := [monotonicity #162]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [quant-intro #171]: #173 +#231 := (if #22 #223 #230) +#727 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #726) #231) +#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) +#730 := (iff #234 #727) +#728 := (iff #231 #231) +#729 := [refl]: #728 +#731 := [quant-intro #729]: #730 +#194 := (if #191 #29 #76) +#197 := (if #22 0::Int #194) +#200 := (= #18 #197) +#203 := (forall (vars (?v0 Int) (?v1 Int)) #200) +#235 := (iff #203 #234) +#232 := (iff #200 #231) +#233 := [rewrite]: #232 +#236 := [quant-intro #233]: #235 +#96 := (not #95) +#103 := (not #102) +#106 := (and #103 #96) +#92 := (not #91) +#99 := (and #92 #96) +#109 := (or #99 #106) +#112 := (if #109 #29 #76) +#115 := (if #22 0::Int #112) +#118 := (= #18 #115) +#121 := (forall (vars (?v0 Int) (?v1 Int)) #118) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#198 := (= #115 #197) +#195 := (= #112 #194) +#192 := (iff #109 #191) +#189 := (iff #106 #188) +#190 := [rewrite]: #189 +#179 := (iff #99 #186) +#180 := [rewrite]: #179 +#193 := [monotonicity #180 #190]: #192 +#196 := [monotonicity #193]: #195 +#199 := [monotonicity #196]: #198 +#202 := [monotonicity #199]: #201 +#205 := [quant-intro #202]: #204 +#183 := (~ #121 #121) +#181 := (~ #118 #118) +#182 := [refl]: #181 +#184 := [nnf-pos #182]: #183 #31 := (- #17) #30 := (- #15) #32 := (div #30 #31) @@ -30346,44 +28262,52 @@ #34 := (if #22 0::Int #33) #35 := (= #18 #34) #36 := (forall (vars (?v0 Int) (?v1 Int)) #35) -#101 := (iff #36 #100) -#98 := (iff #35 #97) -#95 := (= #34 #94) -#92 := (= #33 #91) -#89 := (= #32 #88) -#86 := (= #31 #85) -#87 := [rewrite]: #86 -#83 := (= #30 #82) -#84 := [rewrite]: #83 -#90 := [monotonicity #84 #87]: #89 -#79 := (iff #28 #78) -#76 := (iff #27 #75) -#61 := (iff #24 #60) -#62 := [rewrite]: #61 -#68 := (iff #26 #67) -#72 := (iff #67 #67) -#70 := (iff #66 #66) -#71 := [rewrite]: #70 -#73 := [monotonicity #71]: #72 -#69 := [rewrite]: #68 -#74 := [trans #69 #73]: #68 -#77 := [monotonicity #74 #62]: #76 -#64 := (iff #25 #63) -#57 := (iff #23 #56) -#58 := [rewrite]: #57 -#65 := [monotonicity #58 #62]: #64 -#80 := [monotonicity #65 #77]: #79 -#93 := [monotonicity #80 #90]: #92 -#96 := [monotonicity #93]: #95 -#99 := [monotonicity #96]: #98 -#102 := [quant-intro #99]: #101 -#50 := [asserted]: #36 -#103 := [mp #50 #102]: #100 -#175 := [mp #103 #174]: #172 -#196 := [mp~ #175 #150]: #172 -#223 := [mp #196 #222]: #220 -#254 := [mp #223 #253]: #251 -#690 := [mp #254 #689]: #685 +#124 := (iff #36 #121) +#79 := (if #28 #29 #76) +#82 := (if #22 0::Int #79) +#85 := (= #18 #82) +#88 := (forall (vars (?v0 Int) (?v1 Int)) #85) +#122 := (iff #88 #121) +#119 := (iff #85 #118) +#116 := (= #82 #115) +#113 := (= #79 #112) +#110 := (iff #28 #109) +#107 := (iff #27 #106) +#97 := (iff #24 #96) +#98 := [rewrite]: #97 +#104 := (iff #26 #103) +#105 := [rewrite]: #104 +#108 := [monotonicity #105 #98]: #107 +#100 := (iff #25 #99) +#93 := (iff #23 #92) +#94 := [rewrite]: #93 +#101 := [monotonicity #94 #98]: #100 +#111 := [monotonicity #101 #108]: #110 +#114 := [monotonicity #111]: #113 +#117 := [monotonicity #114]: #116 +#120 := [monotonicity #117]: #119 +#123 := [quant-intro #120]: #122 +#89 := (iff #36 #88) +#86 := (iff #35 #85) +#83 := (= #34 #82) +#80 := (= #33 #79) +#77 := (= #32 #76) +#74 := (= #31 #73) +#75 := [rewrite]: #74 +#71 := (= #30 #70) +#72 := [rewrite]: #71 +#78 := [monotonicity #72 #75]: #77 +#81 := [monotonicity #78]: #80 +#84 := [monotonicity #81]: #83 +#87 := [monotonicity #84]: #86 +#90 := [quant-intro #87]: #89 +#125 := [trans #90 #123]: #124 +#68 := [asserted]: #36 +#126 := [mp #68 #125]: #121 +#175 := [mp~ #126 #184]: #121 +#206 := [mp #175 #205]: #203 +#237 := [mp #206 #236]: #234 +#732 := [mp #237 #731]: #727 #12 := 1::Int #10 := 3::Int #8 := 5::Int @@ -30391,167 +28315,167 @@ #11 := (f3 #9 3::Int) #13 := (= #11 1::Int) #14 := (not #13) -#49 := [asserted]: #14 -#589 := (not #685) -#590 := (or #589 #13) -#347 := (* -1::Int 3::Int) -#346 := (* -1::Int 5::Int) -#679 := (div #346 #347) -#680 := (* -1::Int #679) -#681 := (+ #11 #680) -#682 := (= #681 0::Int) -#678 := (div 5::Int 3::Int) -#335 := (* -1::Int #678) -#465 := (+ #11 #335) -#672 := (= #465 0::Int) -#359 := (<= 3::Int 0::Int) -#358 := (>= 5::Int 0::Int) -#362 := (or #358 #359) -#341 := (not #362) -#348 := (<= 5::Int 0::Int) -#360 := (or #348 #359) -#361 := (not #360) -#676 := (or #361 #341) -#677 := (if #676 #672 #682) -#357 := (= #11 0::Int) -#355 := (= 3::Int 0::Int) -#271 := (= 5::Int 0::Int) -#356 := (or #271 #355) -#683 := (if #356 #357 #677) -#592 := (or #589 #683) -#594 := (iff #592 #590) -#591 := (iff #590 #590) -#596 := [rewrite]: #591 -#598 := (iff #683 #13) -#612 := (if false #357 #13) -#603 := (iff #612 #13) -#604 := [rewrite]: #603 -#601 := (iff #683 #612) -#611 := (iff #677 #13) -#621 := 2::Int -#618 := (= #11 2::Int) -#1 := true -#600 := (if true #13 #618) -#609 := (iff #600 #13) -#610 := [rewrite]: #609 -#597 := (iff #677 #600) -#606 := (iff #682 #618) -#468 := -2::Int -#519 := (+ -2::Int #11) -#523 := (= #519 0::Int) -#615 := (iff #523 #618) -#619 := [rewrite]: #615 -#524 := (iff #682 #523) -#521 := (= #681 #519) -#617 := (+ #11 -2::Int) -#520 := (= #617 #519) -#513 := [rewrite]: #520 -#502 := (= #681 #617) -#613 := (= #680 -2::Int) -#507 := (* -1::Int 2::Int) -#616 := (= #507 -2::Int) -#518 := [rewrite]: #616 -#508 := (= #680 #507) -#622 := (= #679 2::Int) -#628 := -3::Int -#627 := -5::Int -#466 := (div -5::Int -3::Int) -#623 := (= #466 2::Int) -#624 := [rewrite]: #623 -#467 := (= #679 #466) -#635 := (= #347 -3::Int) -#464 := [rewrite]: #635 -#633 := (= #346 -5::Int) -#634 := [rewrite]: #633 -#620 := [monotonicity #634 #464]: #467 -#625 := [trans #620 #624]: #622 -#509 := [monotonicity #625]: #508 -#614 := [trans #509 #518]: #613 -#517 := [monotonicity #614]: #502 -#522 := [trans #517 #513]: #521 -#525 := [monotonicity #522]: #524 -#608 := [trans #525 #619]: #606 -#632 := (iff #672 #13) -#642 := (+ -1::Int #11) -#486 := (= #642 0::Int) -#630 := (iff #486 #13) -#631 := [rewrite]: #630 -#487 := (iff #672 #486) -#644 := (= #465 #642) -#641 := (+ #11 -1::Int) -#643 := (= #641 #642) -#638 := [rewrite]: #643 -#636 := (= #465 #641) -#639 := (= #335 -1::Int) -#363 := (* -1::Int 1::Int) -#646 := (= #363 -1::Int) -#650 := [rewrite]: #646 -#645 := (= #335 #363) -#647 := (= #678 1::Int) -#648 := [rewrite]: #647 -#649 := [monotonicity #648]: #645 -#640 := [trans #649 #650]: #639 -#637 := [monotonicity #640]: #636 -#485 := [trans #637 #638]: #644 -#629 := [monotonicity #485]: #487 -#626 := [trans #629 #631]: #632 -#368 := (iff #676 true) -#658 := (or true false) -#382 := (iff #658 true) -#383 := [rewrite]: #382 -#366 := (iff #676 #658) -#652 := (iff #341 false) -#654 := (not true) -#651 := (iff #654 false) -#655 := [rewrite]: #651 -#376 := (iff #341 #654) -#277 := (iff #362 true) -#380 := (iff #362 #658) -#662 := (iff #359 false) -#663 := [rewrite]: #662 -#671 := (iff #358 true) -#657 := [rewrite]: #671 -#381 := [monotonicity #657 #663]: #380 -#653 := [trans #381 #383]: #277 -#377 := [monotonicity #653]: #376 -#656 := [trans #377 #655]: #652 -#670 := (iff #361 true) -#304 := (not false) -#309 := (iff #304 true) -#310 := [rewrite]: #309 -#667 := (iff #361 #304) -#660 := (iff #360 false) -#334 := (or false false) -#659 := (iff #334 false) -#322 := [rewrite]: #659 -#664 := (iff #360 #334) -#325 := (iff #348 false) -#661 := [rewrite]: #325 -#665 := [monotonicity #661 #663]: #664 -#666 := [trans #665 #322]: #660 -#669 := [monotonicity #666]: #667 -#668 := [trans #669 #310]: #670 -#367 := [monotonicity #668 #656]: #366 -#369 := [trans #367 #383]: #368 -#599 := [monotonicity #369 #626 #608]: #597 -#607 := [trans #599 #610]: #611 -#323 := (iff #356 false) -#675 := (iff #356 #334) -#338 := (iff #355 false) -#674 := [rewrite]: #338 -#673 := (iff #271 false) -#333 := [rewrite]: #673 -#318 := [monotonicity #333 #674]: #675 -#324 := [trans #318 #322]: #323 -#602 := [monotonicity #324 #607]: #601 -#605 := [trans #602 #604]: #598 -#595 := [monotonicity #605]: #594 -#582 := [trans #595 #596]: #594 -#593 := [quant-inst #8 #10]: #592 -#583 := [mp #593 #582]: #590 -[unit-resolution #583 #49 #690]: false -07dc79bb7af38a9690966d1d8001aa5e0aaa3f0d 322 0 -unsat +#67 := [asserted]: #14 +#647 := (not #727) +#631 := (or #647 #13) +#389 := (* -1::Int 3::Int) +#388 := (* -1::Int 5::Int) +#721 := (div #388 #389) +#722 := (* -1::Int #721) +#723 := (+ #11 #722) +#724 := (= #723 0::Int) +#720 := (div 5::Int 3::Int) +#377 := (* -1::Int #720) +#507 := (+ #11 #377) +#714 := (= #507 0::Int) +#401 := (<= 3::Int 0::Int) +#400 := (>= 5::Int 0::Int) +#404 := (or #400 #401) +#383 := (not #404) +#390 := (<= 5::Int 0::Int) +#402 := (or #390 #401) +#403 := (not #402) +#718 := (or #403 #383) +#719 := (if #718 #714 #724) +#399 := (= #11 0::Int) +#397 := (= 3::Int 0::Int) +#313 := (= 5::Int 0::Int) +#398 := (or #313 #397) +#725 := (if #398 #399 #719) +#632 := (or #647 #725) +#635 := (iff #632 #631) +#637 := (iff #631 #631) +#633 := [rewrite]: #637 +#646 := (iff #725 #13) +#649 := (if false #399 #13) +#644 := (iff #649 #13) +#645 := [rewrite]: #644 +#654 := (iff #725 #649) +#652 := (iff #719 #13) +#274 := 2::Int +#567 := (= #11 2::Int) +#1 := true +#650 := (if true #13 #567) +#641 := (iff #650 #13) +#651 := [rewrite]: #641 +#642 := (iff #719 #650) +#661 := (iff #724 #567) +#551 := -2::Int +#559 := (+ -2::Int #11) +#564 := (= #559 0::Int) +#660 := (iff #564 #567) +#657 := [rewrite]: #660 +#565 := (iff #724 #564) +#555 := (= #723 #559) +#656 := (+ #11 -2::Int) +#561 := (= #656 #559) +#562 := [rewrite]: #561 +#659 := (= #723 #656) +#560 := (= #722 -2::Int) +#667 := (* -1::Int 2::Int) +#510 := (= #667 -2::Int) +#658 := [rewrite]: #510 +#549 := (= #722 #667) +#666 := (= #721 2::Int) +#670 := -3::Int +#669 := -5::Int +#508 := (div -5::Int -3::Int) +#663 := (= #508 2::Int) +#665 := [rewrite]: #663 +#509 := (= #721 #508) +#677 := (= #389 -3::Int) +#506 := [rewrite]: #677 +#675 := (= #388 -5::Int) +#676 := [rewrite]: #675 +#662 := [monotonicity #676 #506]: #509 +#664 := [trans #662 #665]: #666 +#550 := [monotonicity #664]: #549 +#655 := [trans #550 #658]: #560 +#544 := [monotonicity #655]: #659 +#563 := [trans #544 #562]: #555 +#566 := [monotonicity #563]: #565 +#648 := [trans #566 #657]: #661 +#674 := (iff #714 #13) +#684 := (+ -1::Int #11) +#528 := (= #684 0::Int) +#672 := (iff #528 #13) +#673 := [rewrite]: #672 +#529 := (iff #714 #528) +#686 := (= #507 #684) +#683 := (+ #11 -1::Int) +#685 := (= #683 #684) +#680 := [rewrite]: #685 +#678 := (= #507 #683) +#681 := (= #377 -1::Int) +#405 := (* -1::Int 1::Int) +#688 := (= #405 -1::Int) +#692 := [rewrite]: #688 +#687 := (= #377 #405) +#689 := (= #720 1::Int) +#690 := [rewrite]: #689 +#691 := [monotonicity #690]: #687 +#682 := [trans #691 #692]: #681 +#679 := [monotonicity #682]: #678 +#527 := [trans #679 #680]: #686 +#671 := [monotonicity #527]: #529 +#668 := [trans #671 #673]: #674 +#410 := (iff #718 true) +#700 := (or true false) +#424 := (iff #700 true) +#425 := [rewrite]: #424 +#408 := (iff #718 #700) +#694 := (iff #383 false) +#696 := (not true) +#693 := (iff #696 false) +#697 := [rewrite]: #693 +#418 := (iff #383 #696) +#319 := (iff #404 true) +#422 := (iff #404 #700) +#704 := (iff #401 false) +#705 := [rewrite]: #704 +#713 := (iff #400 true) +#699 := [rewrite]: #713 +#423 := [monotonicity #699 #705]: #422 +#695 := [trans #423 #425]: #319 +#419 := [monotonicity #695]: #418 +#698 := [trans #419 #697]: #694 +#712 := (iff #403 true) +#346 := (not false) +#351 := (iff #346 true) +#352 := [rewrite]: #351 +#709 := (iff #403 #346) +#702 := (iff #402 false) +#376 := (or false false) +#701 := (iff #376 false) +#364 := [rewrite]: #701 +#706 := (iff #402 #376) +#367 := (iff #390 false) +#703 := [rewrite]: #367 +#707 := [monotonicity #703 #705]: #706 +#708 := [trans #707 #364]: #702 +#711 := [monotonicity #708]: #709 +#710 := [trans #711 #352]: #712 +#409 := [monotonicity #710 #698]: #408 +#411 := [trans #409 #425]: #410 +#639 := [monotonicity #411 #668 #648]: #642 +#653 := [trans #639 #651]: #652 +#365 := (iff #398 false) +#717 := (iff #398 #376) +#380 := (iff #397 false) +#716 := [rewrite]: #380 +#715 := (iff #313 false) +#375 := [rewrite]: #715 +#360 := [monotonicity #375 #716]: #717 +#366 := [trans #360 #364]: #365 +#643 := [monotonicity #366 #653]: #654 +#640 := [trans #643 #645]: #646 +#636 := [monotonicity #640]: #635 +#638 := [trans #636 #633]: #635 +#634 := [quant-inst #8 #10]: #632 +#624 := [mp #634 #638]: #631 +[unit-resolution #624 #67 #732]: false +unsat +5e68ab43f3201baeb2a0c0f495119aa80de32eb9 306 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -30561,99 +28485,75 @@ #7 := f5 #17 := (f4 f5 #16) #19 := (f3 #17 #18) -#700 := (pattern #19) +#743 := (pattern #19) #20 := 0::Int -#62 := -1::Int -#101 := (* -1::Int #18) -#98 := (* -1::Int #16) -#104 := (div #98 #101) -#260 := (* -1::Int #104) -#261 := (+ #19 #260) -#262 := (= #261 0::Int) +#75 := -1::Int +#89 := (* -1::Int #18) +#85 := (* -1::Int #16) +#92 := (div #85 #89) +#243 := (* -1::Int #92) +#244 := (+ #19 #243) +#245 := (= #244 0::Int) #30 := (div #16 #18) -#257 := (* -1::Int #30) -#258 := (+ #19 #257) -#259 := (= #258 0::Int) -#76 := (<= #18 0::Int) -#167 := (>= #16 0::Int) -#220 := (or #167 #76) -#221 := (not #220) -#72 := (<= #16 0::Int) -#216 := (or #72 #76) -#217 := (not #216) -#224 := (or #217 #221) -#263 := (if #224 #259 #262) -#256 := (= #19 0::Int) +#240 := (* -1::Int #30) +#241 := (+ #19 #240) +#242 := (= #241 0::Int) +#111 := (<= #18 0::Int) +#118 := (>= #16 0::Int) +#203 := (or #118 #111) +#204 := (not #203) +#107 := (<= #16 0::Int) +#201 := (or #107 #111) +#202 := (not #201) +#207 := (or #202 #204) +#246 := (if #207 #242 #245) +#239 := (= #19 0::Int) #22 := (= #18 0::Int) #21 := (= #16 0::Int) #23 := (or #21 #22) -#264 := (if #23 #256 #263) -#701 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #700) #264) -#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) -#704 := (iff #267 #701) -#702 := (iff #264 #264) -#703 := [refl]: #702 -#705 := [quant-intro #703]: #704 -#227 := (if #224 #30 #104) -#230 := (if #23 0::Int #227) -#233 := (= #19 #230) -#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) -#268 := (iff #236 #267) -#265 := (iff #233 #264) -#266 := [rewrite]: #265 -#269 := [quant-intro #266]: #268 -#77 := (not #76) -#170 := (not #167) -#173 := (and #170 #77) -#73 := (not #72) -#80 := (and #73 #77) -#176 := (or #80 #173) -#179 := (if #176 #30 #104) -#182 := (if #23 0::Int #179) -#185 := (= #19 #182) -#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) -#237 := (iff #188 #236) -#234 := (iff #185 #233) -#231 := (= #182 #230) -#228 := (= #179 #227) -#225 := (iff #176 #224) -#222 := (iff #173 #221) -#223 := [rewrite]: #222 -#218 := (iff #80 #217) -#219 := [rewrite]: #218 -#226 := [monotonicity #219 #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [quant-intro #235]: #237 -#208 := (~ #188 #188) -#210 := (~ #185 #185) -#211 := [refl]: #210 -#209 := [nnf-pos #211]: #208 -#83 := (<= 0::Int #16) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#107 := (if #95 #30 #104) -#110 := (if #23 0::Int #107) -#113 := (= #19 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#189 := (iff #116 #188) -#186 := (iff #113 #185) -#183 := (= #110 #182) -#180 := (= #107 #179) -#177 := (iff #95 #176) -#174 := (iff #92 #173) -#171 := (iff #84 #170) -#168 := (iff #83 #167) -#169 := [rewrite]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [quant-intro #187]: #189 +#247 := (if #23 #239 #246) +#744 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #743) #247) +#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) +#747 := (iff #250 #744) +#745 := (iff #247 #247) +#746 := [refl]: #745 +#748 := [quant-intro #746]: #747 +#210 := (if #207 #30 #92) +#213 := (if #23 0::Int #210) +#216 := (= #19 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#251 := (iff #219 #250) +#248 := (iff #216 #247) +#249 := [rewrite]: #248 +#252 := [quant-intro #249]: #251 +#112 := (not #111) +#119 := (not #118) +#122 := (and #119 #112) +#108 := (not #107) +#115 := (and #108 #112) +#125 := (or #115 #122) +#128 := (if #125 #30 #92) +#131 := (if #23 0::Int #128) +#134 := (= #19 #131) +#137 := (forall (vars (?v0 Int) (?v1 Int)) #134) +#220 := (iff #137 #219) +#217 := (iff #134 #216) +#214 := (= #131 #213) +#211 := (= #128 #210) +#208 := (iff #125 #207) +#205 := (iff #122 #204) +#206 := [rewrite]: #205 +#195 := (iff #115 #202) +#196 := [rewrite]: #195 +#209 := [monotonicity #196 #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#199 := (~ #137 #137) +#197 := (~ #134 #134) +#198 := [refl]: #197 +#200 := [nnf-pos #198]: #199 #32 := (- #18) #31 := (- #16) #33 := (div #31 #32) @@ -30667,214 +28567,222 @@ #35 := (if #23 0::Int #34) #36 := (= #19 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#117 := (iff #37 #116) -#114 := (iff #36 #113) -#111 := (= #35 #110) -#108 := (= #34 #107) -#105 := (= #33 #104) -#102 := (= #32 #101) -#103 := [rewrite]: #102 -#99 := (= #31 #98) -#100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#96 := (iff #29 #95) -#93 := (iff #28 #92) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#85 := (iff #27 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) +#140 := (iff #37 #137) +#95 := (if #29 #30 #92) +#98 := (if #23 0::Int #95) +#101 := (= #19 #98) +#104 := (forall (vars (?v0 Int) (?v1 Int)) #101) +#138 := (iff #104 #137) +#135 := (iff #101 #134) +#132 := (= #98 #131) +#129 := (= #95 #128) +#126 := (iff #29 #125) +#123 := (iff #28 #122) +#113 := (iff #25 #112) +#114 := [rewrite]: #113 +#120 := (iff #27 #119) +#121 := [rewrite]: #120 +#124 := [monotonicity #121 #114]: #123 +#116 := (iff #26 #115) +#109 := (iff #24 #108) +#110 := [rewrite]: #109 +#117 := [monotonicity #110 #114]: #116 +#127 := [monotonicity #117 #124]: #126 +#130 := [monotonicity #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [quant-intro #136]: #138 +#105 := (iff #37 #104) +#102 := (iff #36 #101) +#99 := (= #35 #98) +#96 := (= #34 #95) +#93 := (= #33 #92) +#90 := (= #32 #89) +#91 := [rewrite]: #90 +#87 := (= #31 #85) #88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #26 #80) -#74 := (iff #24 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#109 := [monotonicity #97 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#51 := [asserted]: #37 -#119 := [mp #51 #118]: #116 -#191 := [mp #119 #190]: #188 -#165 := [mp~ #191 #209]: #188 -#239 := [mp #165 #238]: #236 -#270 := [mp #239 #269]: #267 -#706 := [mp #270 #705]: #701 -#56 := -3::Int +#94 := [monotonicity #88 #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [quant-intro #103]: #105 +#141 := [trans #106 #139]: #140 +#84 := [asserted]: #37 +#142 := [mp #84 #141]: #137 +#191 := [mp~ #142 #200]: #137 +#222 := [mp #191 #221]: #219 +#253 := [mp #222 #252]: #250 +#749 := [mp #253 #748]: #744 +#69 := -3::Int #8 := 1::Int #9 := (f4 f5 1::Int) -#59 := (f3 #9 -3::Int) -#65 := (= #59 -1::Int) -#68 := (not #65) +#72 := (f3 #9 -3::Int) +#78 := (= #72 -1::Int) +#81 := (not #78) #13 := (- 1::Int) #10 := 3::Int #11 := (- 3::Int) #12 := (f3 #9 #11) #14 := (= #12 #13) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #13 -1::Int) -#64 := [rewrite]: #63 -#60 := (= #12 #59) -#57 := (= #11 -3::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#616 := (not #701) -#613 := (or #616 #65) -#363 := (* -1::Int -3::Int) -#362 := (* -1::Int 1::Int) -#695 := (div #362 #363) -#696 := (* -1::Int #695) -#697 := (+ #59 #696) -#698 := (= #697 0::Int) -#694 := (div 1::Int -3::Int) -#351 := (* -1::Int #694) -#481 := (+ #59 #351) -#688 := (= #481 0::Int) -#375 := (<= -3::Int 0::Int) -#374 := (>= 1::Int 0::Int) -#378 := (or #374 #375) -#357 := (not #378) -#364 := (<= 1::Int 0::Int) -#376 := (or #364 #375) -#377 := (not #376) -#692 := (or #377 #357) -#693 := (if #692 #688 #698) -#373 := (= #59 0::Int) -#371 := (= -3::Int 0::Int) -#287 := (= 1::Int 0::Int) -#372 := (or #287 #371) -#699 := (if #372 #373 #693) -#615 := (or #616 #699) -#626 := (iff #615 #613) -#623 := (iff #613 #613) -#628 := [rewrite]: #623 -#622 := (iff #699 #65) -#529 := (if false #373 #65) -#539 := (iff #529 #65) -#540 := [rewrite]: #539 -#631 := (iff #699 #529) -#541 := (iff #693 #65) -#537 := (iff #693 #529) -#535 := (iff #698 #65) -#524 := (+ 1::Int #59) -#629 := (= #524 0::Int) -#518 := (iff #629 #65) -#533 := [rewrite]: #518 -#630 := (iff #698 #629) -#632 := (= #697 #524) -#638 := (+ #59 1::Int) -#525 := (= #638 #524) -#484 := [rewrite]: #525 -#641 := (= #697 #638) -#639 := (= #696 1::Int) -#480 := (* -1::Int -1::Int) -#636 := (= #480 1::Int) -#637 := [rewrite]: #636 -#482 := (= #696 #480) -#644 := (= #695 -1::Int) -#648 := (div -1::Int 3::Int) -#649 := (= #648 -1::Int) -#650 := [rewrite]: #649 -#642 := (= #695 #648) -#646 := (= #363 3::Int) -#647 := [rewrite]: #646 -#503 := (= #362 -1::Int) -#645 := [rewrite]: #503 -#643 := [monotonicity #645 #647]: #642 -#651 := [trans #643 #650]: #644 -#483 := [monotonicity #651]: #482 -#640 := [trans #483 #637]: #639 -#523 := [monotonicity #640]: #641 -#534 := [trans #523 #484]: #632 -#633 := [monotonicity #534]: #630 -#536 := [trans #633 #533]: #535 -#501 := (iff #688 #373) -#654 := (= #481 #59) -#657 := (+ #59 0::Int) -#658 := (= #657 #59) -#659 := [rewrite]: #658 -#652 := (= #481 #657) -#655 := (= #351 0::Int) -#379 := (* -1::Int 0::Int) -#662 := (= #379 0::Int) -#666 := [rewrite]: #662 -#661 := (= #351 #379) -#663 := (= #694 0::Int) -#664 := [rewrite]: #663 -#665 := [monotonicity #664]: #661 -#656 := [trans #665 #666]: #655 -#653 := [monotonicity #656]: #652 -#660 := [trans #653 #659]: #654 -#502 := [monotonicity #660]: #501 -#384 := (iff #692 false) -#350 := (or false false) -#675 := (iff #350 false) -#338 := [rewrite]: #675 -#382 := (iff #692 #350) -#668 := (iff #357 false) -#1 := true -#325 := (not true) -#684 := (iff #325 false) -#687 := [rewrite]: #684 -#667 := (iff #357 #325) -#392 := (iff #378 true) -#398 := (or true true) -#669 := (iff #398 true) -#670 := [rewrite]: #669 -#399 := (iff #378 #398) -#678 := (iff #375 true) -#679 := [rewrite]: #678 -#396 := (iff #374 true) -#397 := [rewrite]: #396 -#293 := [monotonicity #397 #679]: #399 -#393 := [trans #293 #670]: #392 -#671 := [monotonicity #393]: #667 -#672 := [trans #671 #687]: #668 -#673 := (iff #377 false) -#326 := (iff #377 #325) -#683 := (iff #376 true) -#680 := (or false true) -#682 := (iff #680 true) -#320 := [rewrite]: #682 -#681 := (iff #376 #680) -#341 := (iff #364 false) -#677 := [rewrite]: #341 -#676 := [monotonicity #677 #679]: #681 -#685 := [trans #676 #320]: #683 -#686 := [monotonicity #685]: #326 -#674 := [trans #686 #687]: #673 -#383 := [monotonicity #674 #672]: #382 -#385 := [trans #383 #338]: #384 -#538 := [monotonicity #385 #502 #536]: #537 -#634 := [trans #538 #540]: #541 -#339 := (iff #372 false) -#691 := (iff #372 #350) -#354 := (iff #371 false) -#690 := [rewrite]: #354 -#689 := (iff #287 false) -#349 := [rewrite]: #689 -#334 := [monotonicity #349 #690]: #691 -#340 := [trans #334 #338]: #339 -#635 := [monotonicity #340 #634]: #631 -#624 := [trans #635 #540]: #622 -#627 := [monotonicity #624]: #626 -#617 := [trans #627 #628]: #626 -#625 := [quant-inst #8 #56]: #615 -#618 := [mp #625 #617]: #613 -[unit-resolution #618 #71 #706]: false -2724efda4c32efbff1ae699cb7c49583d776fd69 321 0 -unsat +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #13 -1::Int) +#77 := [rewrite]: #76 +#73 := (= #12 #72) +#70 := (= #11 -3::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#68 := [asserted]: #15 +#86 := [mp #68 #83]: #81 +#659 := (not #744) +#656 := (or #659 #78) +#406 := (* -1::Int -3::Int) +#405 := (* -1::Int 1::Int) +#738 := (div #405 #406) +#739 := (* -1::Int #738) +#740 := (+ #72 #739) +#741 := (= #740 0::Int) +#737 := (div 1::Int -3::Int) +#394 := (* -1::Int #737) +#524 := (+ #72 #394) +#731 := (= #524 0::Int) +#418 := (<= -3::Int 0::Int) +#417 := (>= 1::Int 0::Int) +#421 := (or #417 #418) +#400 := (not #421) +#407 := (<= 1::Int 0::Int) +#419 := (or #407 #418) +#420 := (not #419) +#735 := (or #420 #400) +#736 := (if #735 #731 #741) +#416 := (= #72 0::Int) +#414 := (= -3::Int 0::Int) +#330 := (= 1::Int 0::Int) +#415 := (or #330 #414) +#742 := (if #415 #416 #736) +#658 := (or #659 #742) +#669 := (iff #658 #656) +#666 := (iff #656 #656) +#671 := [rewrite]: #666 +#665 := (iff #742 #78) +#572 := (if false #416 #78) +#582 := (iff #572 #78) +#583 := [rewrite]: #582 +#674 := (iff #742 #572) +#584 := (iff #736 #78) +#580 := (iff #736 #572) +#578 := (iff #741 #78) +#567 := (+ 1::Int #72) +#672 := (= #567 0::Int) +#561 := (iff #672 #78) +#576 := [rewrite]: #561 +#673 := (iff #741 #672) +#675 := (= #740 #567) +#681 := (+ #72 1::Int) +#568 := (= #681 #567) +#527 := [rewrite]: #568 +#684 := (= #740 #681) +#682 := (= #739 1::Int) +#523 := (* -1::Int -1::Int) +#679 := (= #523 1::Int) +#680 := [rewrite]: #679 +#525 := (= #739 #523) +#687 := (= #738 -1::Int) +#691 := (div -1::Int 3::Int) +#692 := (= #691 -1::Int) +#693 := [rewrite]: #692 +#685 := (= #738 #691) +#689 := (= #406 3::Int) +#690 := [rewrite]: #689 +#546 := (= #405 -1::Int) +#688 := [rewrite]: #546 +#686 := [monotonicity #688 #690]: #685 +#694 := [trans #686 #693]: #687 +#526 := [monotonicity #694]: #525 +#683 := [trans #526 #680]: #682 +#566 := [monotonicity #683]: #684 +#577 := [trans #566 #527]: #675 +#676 := [monotonicity #577]: #673 +#579 := [trans #676 #576]: #578 +#544 := (iff #731 #416) +#697 := (= #524 #72) +#700 := (+ #72 0::Int) +#701 := (= #700 #72) +#702 := [rewrite]: #701 +#695 := (= #524 #700) +#698 := (= #394 0::Int) +#422 := (* -1::Int 0::Int) +#705 := (= #422 0::Int) +#709 := [rewrite]: #705 +#704 := (= #394 #422) +#706 := (= #737 0::Int) +#707 := [rewrite]: #706 +#708 := [monotonicity #707]: #704 +#699 := [trans #708 #709]: #698 +#696 := [monotonicity #699]: #695 +#703 := [trans #696 #702]: #697 +#545 := [monotonicity #703]: #544 +#427 := (iff #735 false) +#393 := (or false false) +#718 := (iff #393 false) +#381 := [rewrite]: #718 +#425 := (iff #735 #393) +#711 := (iff #400 false) +#1 := true +#368 := (not true) +#727 := (iff #368 false) +#730 := [rewrite]: #727 +#710 := (iff #400 #368) +#435 := (iff #421 true) +#441 := (or true true) +#712 := (iff #441 true) +#713 := [rewrite]: #712 +#442 := (iff #421 #441) +#721 := (iff #418 true) +#722 := [rewrite]: #721 +#439 := (iff #417 true) +#440 := [rewrite]: #439 +#336 := [monotonicity #440 #722]: #442 +#436 := [trans #336 #713]: #435 +#714 := [monotonicity #436]: #710 +#715 := [trans #714 #730]: #711 +#716 := (iff #420 false) +#369 := (iff #420 #368) +#726 := (iff #419 true) +#723 := (or false true) +#725 := (iff #723 true) +#363 := [rewrite]: #725 +#724 := (iff #419 #723) +#384 := (iff #407 false) +#720 := [rewrite]: #384 +#719 := [monotonicity #720 #722]: #724 +#728 := [trans #719 #363]: #726 +#729 := [monotonicity #728]: #369 +#717 := [trans #729 #730]: #716 +#426 := [monotonicity #717 #715]: #425 +#428 := [trans #426 #381]: #427 +#581 := [monotonicity #428 #545 #579]: #580 +#677 := [trans #581 #583]: #584 +#382 := (iff #415 false) +#734 := (iff #415 #393) +#397 := (iff #414 false) +#733 := [rewrite]: #397 +#732 := (iff #330 false) +#392 := [rewrite]: #732 +#377 := [monotonicity #392 #733]: #734 +#383 := [trans #377 #381]: #382 +#678 := [monotonicity #383 #677]: #674 +#667 := [trans #678 #583]: #665 +#670 := [monotonicity #667]: #669 +#660 := [trans #670 #671]: #669 +#668 := [quant-inst #8 #69]: #658 +#661 := [mp #668 #660]: #656 +[unit-resolution #661 #86 #749]: false +unsat +96a820c8e0e11b411d8512a13b417469ec37ea05 305 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -30884,99 +28792,75 @@ #7 := f5 #17 := (f4 f5 #16) #19 := (f3 #17 #18) -#700 := (pattern #19) +#743 := (pattern #19) #20 := 0::Int -#62 := -1::Int -#101 := (* -1::Int #18) -#98 := (* -1::Int #16) -#104 := (div #98 #101) -#260 := (* -1::Int #104) -#261 := (+ #19 #260) -#262 := (= #261 0::Int) +#75 := -1::Int +#89 := (* -1::Int #18) +#85 := (* -1::Int #16) +#92 := (div #85 #89) +#243 := (* -1::Int #92) +#244 := (+ #19 #243) +#245 := (= #244 0::Int) #30 := (div #16 #18) -#257 := (* -1::Int #30) -#258 := (+ #19 #257) -#259 := (= #258 0::Int) -#76 := (<= #18 0::Int) -#167 := (>= #16 0::Int) -#220 := (or #167 #76) -#221 := (not #220) -#72 := (<= #16 0::Int) -#216 := (or #72 #76) -#217 := (not #216) -#224 := (or #217 #221) -#263 := (if #224 #259 #262) -#256 := (= #19 0::Int) +#240 := (* -1::Int #30) +#241 := (+ #19 #240) +#242 := (= #241 0::Int) +#111 := (<= #18 0::Int) +#118 := (>= #16 0::Int) +#203 := (or #118 #111) +#204 := (not #203) +#107 := (<= #16 0::Int) +#201 := (or #107 #111) +#202 := (not #201) +#207 := (or #202 #204) +#246 := (if #207 #242 #245) +#239 := (= #19 0::Int) #22 := (= #18 0::Int) #21 := (= #16 0::Int) #23 := (or #21 #22) -#264 := (if #23 #256 #263) -#701 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #700) #264) -#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) -#704 := (iff #267 #701) -#702 := (iff #264 #264) -#703 := [refl]: #702 -#705 := [quant-intro #703]: #704 -#227 := (if #224 #30 #104) -#230 := (if #23 0::Int #227) -#233 := (= #19 #230) -#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) -#268 := (iff #236 #267) -#265 := (iff #233 #264) -#266 := [rewrite]: #265 -#269 := [quant-intro #266]: #268 -#77 := (not #76) -#170 := (not #167) -#173 := (and #170 #77) -#73 := (not #72) -#80 := (and #73 #77) -#176 := (or #80 #173) -#179 := (if #176 #30 #104) -#182 := (if #23 0::Int #179) -#185 := (= #19 #182) -#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) -#237 := (iff #188 #236) -#234 := (iff #185 #233) -#231 := (= #182 #230) -#228 := (= #179 #227) -#225 := (iff #176 #224) -#222 := (iff #173 #221) -#223 := [rewrite]: #222 -#218 := (iff #80 #217) -#219 := [rewrite]: #218 -#226 := [monotonicity #219 #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [quant-intro #235]: #237 -#165 := (~ #188 #188) -#208 := (~ #185 #185) -#209 := [refl]: #208 -#166 := [nnf-pos #209]: #165 -#83 := (<= 0::Int #16) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#107 := (if #95 #30 #104) -#110 := (if #23 0::Int #107) -#113 := (= #19 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#189 := (iff #116 #188) -#186 := (iff #113 #185) -#183 := (= #110 #182) -#180 := (= #107 #179) -#177 := (iff #95 #176) -#174 := (iff #92 #173) -#171 := (iff #84 #170) -#168 := (iff #83 #167) -#169 := [rewrite]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [quant-intro #187]: #189 +#247 := (if #23 #239 #246) +#744 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #743) #247) +#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) +#747 := (iff #250 #744) +#745 := (iff #247 #247) +#746 := [refl]: #745 +#748 := [quant-intro #746]: #747 +#210 := (if #207 #30 #92) +#213 := (if #23 0::Int #210) +#216 := (= #19 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#251 := (iff #219 #250) +#248 := (iff #216 #247) +#249 := [rewrite]: #248 +#252 := [quant-intro #249]: #251 +#112 := (not #111) +#119 := (not #118) +#122 := (and #119 #112) +#108 := (not #107) +#115 := (and #108 #112) +#125 := (or #115 #122) +#128 := (if #125 #30 #92) +#131 := (if #23 0::Int #128) +#134 := (= #19 #131) +#137 := (forall (vars (?v0 Int) (?v1 Int)) #134) +#220 := (iff #137 #219) +#217 := (iff #134 #216) +#214 := (= #131 #213) +#211 := (= #128 #210) +#208 := (iff #125 #207) +#205 := (iff #122 #204) +#206 := [rewrite]: #205 +#195 := (iff #115 #202) +#196 := [rewrite]: #195 +#209 := [monotonicity #196 #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#199 := (~ #137 #137) +#197 := (~ #134 #134) +#198 := [refl]: #197 +#200 := [nnf-pos #198]: #199 #32 := (- #18) #31 := (- #16) #33 := (div #31 #32) @@ -30990,213 +28874,221 @@ #35 := (if #23 0::Int #34) #36 := (= #19 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#117 := (iff #37 #116) -#114 := (iff #36 #113) -#111 := (= #35 #110) -#108 := (= #34 #107) -#105 := (= #33 #104) -#102 := (= #32 #101) -#103 := [rewrite]: #102 -#99 := (= #31 #98) -#100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#96 := (iff #29 #95) -#93 := (iff #28 #92) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#85 := (iff #27 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) +#140 := (iff #37 #137) +#95 := (if #29 #30 #92) +#98 := (if #23 0::Int #95) +#101 := (= #19 #98) +#104 := (forall (vars (?v0 Int) (?v1 Int)) #101) +#138 := (iff #104 #137) +#135 := (iff #101 #134) +#132 := (= #98 #131) +#129 := (= #95 #128) +#126 := (iff #29 #125) +#123 := (iff #28 #122) +#113 := (iff #25 #112) +#114 := [rewrite]: #113 +#120 := (iff #27 #119) +#121 := [rewrite]: #120 +#124 := [monotonicity #121 #114]: #123 +#116 := (iff #26 #115) +#109 := (iff #24 #108) +#110 := [rewrite]: #109 +#117 := [monotonicity #110 #114]: #116 +#127 := [monotonicity #117 #124]: #126 +#130 := [monotonicity #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [quant-intro #136]: #138 +#105 := (iff #37 #104) +#102 := (iff #36 #101) +#99 := (= #35 #98) +#96 := (= #34 #95) +#93 := (= #33 #92) +#90 := (= #32 #89) +#91 := [rewrite]: #90 +#87 := (= #31 #85) #88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #26 #80) -#74 := (iff #24 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#109 := [monotonicity #97 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#51 := [asserted]: #37 -#119 := [mp #51 #118]: #116 -#191 := [mp #119 #190]: #188 -#210 := [mp~ #191 #166]: #188 -#239 := [mp #210 #238]: #236 -#270 := [mp #239 #269]: #267 -#706 := [mp #270 #705]: #701 -#56 := -3::Int +#94 := [monotonicity #88 #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [quant-intro #103]: #105 +#141 := [trans #106 #139]: #140 +#84 := [asserted]: #37 +#142 := [mp #84 #141]: #137 +#191 := [mp~ #142 #200]: #137 +#222 := [mp #191 #221]: #219 +#253 := [mp #222 #252]: #250 +#749 := [mp #253 #748]: #744 +#69 := -3::Int #8 := 3::Int #9 := (f4 f5 3::Int) -#59 := (f3 #9 -3::Int) -#65 := (= #59 -1::Int) -#68 := (not #65) +#72 := (f3 #9 -3::Int) +#78 := (= #72 -1::Int) +#81 := (not #78) #12 := 1::Int #13 := (- 1::Int) #10 := (- 3::Int) #11 := (f3 #9 #10) #14 := (= #11 #13) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #13 -1::Int) -#64 := [rewrite]: #63 -#60 := (= #11 #59) -#57 := (= #10 -3::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#624 := (not #701) -#616 := (or #624 #65) -#363 := (* -1::Int -3::Int) -#362 := (* -1::Int 3::Int) -#695 := (div #362 #363) -#696 := (* -1::Int #695) -#697 := (+ #59 #696) -#698 := (= #697 0::Int) -#694 := (div 3::Int -3::Int) -#351 := (* -1::Int #694) -#481 := (+ #59 #351) -#688 := (= #481 0::Int) -#375 := (<= -3::Int 0::Int) -#374 := (>= 3::Int 0::Int) -#378 := (or #374 #375) -#357 := (not #378) -#364 := (<= 3::Int 0::Int) -#376 := (or #364 #375) -#377 := (not #376) -#692 := (or #377 #357) -#693 := (if #692 #688 #698) -#373 := (= #59 0::Int) -#371 := (= -3::Int 0::Int) -#287 := (= 3::Int 0::Int) -#372 := (or #287 #371) -#699 := (if #372 #373 #693) -#613 := (or #624 #699) -#625 := (iff #613 #616) -#627 := (iff #616 #616) -#623 := [rewrite]: #627 -#635 := (iff #699 #65) -#539 := (if false #373 #65) -#634 := (iff #539 #65) -#631 := [rewrite]: #634 -#540 := (iff #699 #539) -#537 := (iff #693 #65) -#518 := (if false #65 #65) -#536 := (iff #518 #65) -#529 := [rewrite]: #536 -#533 := (iff #693 #518) -#630 := (iff #698 #65) -#658 := (+ 1::Int #59) -#502 := (= #658 0::Int) -#646 := (iff #502 #65) -#647 := [rewrite]: #646 -#534 := (iff #698 #502) -#484 := (= #697 #658) -#657 := (+ #59 1::Int) -#659 := (= #657 #658) -#654 := [rewrite]: #659 -#524 := (= #697 #657) -#641 := (= #696 1::Int) -#379 := (* -1::Int -1::Int) -#662 := (= #379 1::Int) -#666 := [rewrite]: #662 -#640 := (= #696 #379) -#637 := (= #695 -1::Int) -#651 := (div -3::Int 3::Int) -#483 := (= #651 -1::Int) -#636 := [rewrite]: #483 -#480 := (= #695 #651) -#650 := (= #363 3::Int) -#644 := [rewrite]: #650 -#643 := (= #362 -3::Int) -#649 := [rewrite]: #643 -#482 := [monotonicity #649 #644]: #480 -#639 := [trans #482 #636]: #637 -#638 := [monotonicity #639]: #640 -#523 := [trans #638 #666]: #641 -#525 := [monotonicity #523]: #524 -#632 := [trans #525 #654]: #484 -#629 := [monotonicity #632]: #534 -#633 := [trans #629 #647]: #630 -#648 := (iff #688 #65) -#503 := (iff #688 #502) -#660 := (= #481 #658) -#652 := (= #481 #657) -#655 := (= #351 1::Int) -#661 := (= #351 #379) -#663 := (= #694 -1::Int) -#664 := [rewrite]: #663 -#665 := [monotonicity #664]: #661 -#656 := [trans #665 #666]: #655 -#653 := [monotonicity #656]: #652 -#501 := [trans #653 #654]: #660 -#645 := [monotonicity #501]: #503 -#642 := [trans #645 #647]: #648 -#384 := (iff #692 false) -#350 := (or false false) -#675 := (iff #350 false) -#338 := [rewrite]: #675 -#382 := (iff #692 #350) -#668 := (iff #357 false) -#1 := true -#325 := (not true) -#684 := (iff #325 false) -#687 := [rewrite]: #684 -#667 := (iff #357 #325) -#392 := (iff #378 true) -#398 := (or true true) -#669 := (iff #398 true) -#670 := [rewrite]: #669 -#399 := (iff #378 #398) -#678 := (iff #375 true) -#679 := [rewrite]: #678 -#396 := (iff #374 true) -#397 := [rewrite]: #396 -#293 := [monotonicity #397 #679]: #399 -#393 := [trans #293 #670]: #392 -#671 := [monotonicity #393]: #667 -#672 := [trans #671 #687]: #668 -#673 := (iff #377 false) -#326 := (iff #377 #325) -#683 := (iff #376 true) -#680 := (or false true) -#682 := (iff #680 true) -#320 := [rewrite]: #682 -#681 := (iff #376 #680) -#341 := (iff #364 false) -#677 := [rewrite]: #341 -#676 := [monotonicity #677 #679]: #681 -#685 := [trans #676 #320]: #683 -#686 := [monotonicity #685]: #326 -#674 := [trans #686 #687]: #673 -#383 := [monotonicity #674 #672]: #382 -#385 := [trans #383 #338]: #384 -#535 := [monotonicity #385 #642 #633]: #533 -#538 := [trans #535 #529]: #537 -#339 := (iff #372 false) -#691 := (iff #372 #350) -#354 := (iff #371 false) -#690 := [rewrite]: #354 -#689 := (iff #287 false) -#349 := [rewrite]: #689 -#334 := [monotonicity #349 #690]: #691 -#340 := [trans #334 #338]: #339 -#541 := [monotonicity #340 #538]: #540 -#622 := [trans #541 #631]: #635 -#626 := [monotonicity #622]: #625 -#628 := [trans #626 #623]: #625 -#615 := [quant-inst #8 #56]: #613 -#617 := [mp #615 #628]: #616 -[unit-resolution #617 #71 #706]: false -b17d0a5f28b546cd2d43a494f2d86e3a5351ba17 336 0 -unsat +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #13 -1::Int) +#77 := [rewrite]: #76 +#73 := (= #11 #72) +#70 := (= #10 -3::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#68 := [asserted]: #15 +#86 := [mp #68 #83]: #81 +#667 := (not #744) +#659 := (or #667 #78) +#406 := (* -1::Int -3::Int) +#405 := (* -1::Int 3::Int) +#738 := (div #405 #406) +#739 := (* -1::Int #738) +#740 := (+ #72 #739) +#741 := (= #740 0::Int) +#737 := (div 3::Int -3::Int) +#394 := (* -1::Int #737) +#524 := (+ #72 #394) +#731 := (= #524 0::Int) +#418 := (<= -3::Int 0::Int) +#417 := (>= 3::Int 0::Int) +#421 := (or #417 #418) +#400 := (not #421) +#407 := (<= 3::Int 0::Int) +#419 := (or #407 #418) +#420 := (not #419) +#735 := (or #420 #400) +#736 := (if #735 #731 #741) +#416 := (= #72 0::Int) +#414 := (= -3::Int 0::Int) +#330 := (= 3::Int 0::Int) +#415 := (or #330 #414) +#742 := (if #415 #416 #736) +#656 := (or #667 #742) +#668 := (iff #656 #659) +#670 := (iff #659 #659) +#666 := [rewrite]: #670 +#678 := (iff #742 #78) +#582 := (if false #416 #78) +#677 := (iff #582 #78) +#674 := [rewrite]: #677 +#583 := (iff #742 #582) +#580 := (iff #736 #78) +#561 := (if false #78 #78) +#579 := (iff #561 #78) +#572 := [rewrite]: #579 +#576 := (iff #736 #561) +#673 := (iff #741 #78) +#701 := (+ 1::Int #72) +#545 := (= #701 0::Int) +#689 := (iff #545 #78) +#690 := [rewrite]: #689 +#577 := (iff #741 #545) +#527 := (= #740 #701) +#700 := (+ #72 1::Int) +#702 := (= #700 #701) +#697 := [rewrite]: #702 +#567 := (= #740 #700) +#684 := (= #739 1::Int) +#422 := (* -1::Int -1::Int) +#705 := (= #422 1::Int) +#709 := [rewrite]: #705 +#683 := (= #739 #422) +#680 := (= #738 -1::Int) +#694 := (div -3::Int 3::Int) +#526 := (= #694 -1::Int) +#679 := [rewrite]: #526 +#523 := (= #738 #694) +#693 := (= #406 3::Int) +#687 := [rewrite]: #693 +#686 := (= #405 -3::Int) +#692 := [rewrite]: #686 +#525 := [monotonicity #692 #687]: #523 +#682 := [trans #525 #679]: #680 +#681 := [monotonicity #682]: #683 +#566 := [trans #681 #709]: #684 +#568 := [monotonicity #566]: #567 +#675 := [trans #568 #697]: #527 +#672 := [monotonicity #675]: #577 +#676 := [trans #672 #690]: #673 +#691 := (iff #731 #78) +#546 := (iff #731 #545) +#703 := (= #524 #701) +#695 := (= #524 #700) +#698 := (= #394 1::Int) +#704 := (= #394 #422) +#706 := (= #737 -1::Int) +#707 := [rewrite]: #706 +#708 := [monotonicity #707]: #704 +#699 := [trans #708 #709]: #698 +#696 := [monotonicity #699]: #695 +#544 := [trans #696 #697]: #703 +#688 := [monotonicity #544]: #546 +#685 := [trans #688 #690]: #691 +#427 := (iff #735 false) +#393 := (or false false) +#718 := (iff #393 false) +#381 := [rewrite]: #718 +#425 := (iff #735 #393) +#711 := (iff #400 false) +#1 := true +#368 := (not true) +#727 := (iff #368 false) +#730 := [rewrite]: #727 +#710 := (iff #400 #368) +#435 := (iff #421 true) +#441 := (or true true) +#712 := (iff #441 true) +#713 := [rewrite]: #712 +#442 := (iff #421 #441) +#721 := (iff #418 true) +#722 := [rewrite]: #721 +#439 := (iff #417 true) +#440 := [rewrite]: #439 +#336 := [monotonicity #440 #722]: #442 +#436 := [trans #336 #713]: #435 +#714 := [monotonicity #436]: #710 +#715 := [trans #714 #730]: #711 +#716 := (iff #420 false) +#369 := (iff #420 #368) +#726 := (iff #419 true) +#723 := (or false true) +#725 := (iff #723 true) +#363 := [rewrite]: #725 +#724 := (iff #419 #723) +#384 := (iff #407 false) +#720 := [rewrite]: #384 +#719 := [monotonicity #720 #722]: #724 +#728 := [trans #719 #363]: #726 +#729 := [monotonicity #728]: #369 +#717 := [trans #729 #730]: #716 +#426 := [monotonicity #717 #715]: #425 +#428 := [trans #426 #381]: #427 +#578 := [monotonicity #428 #685 #676]: #576 +#581 := [trans #578 #572]: #580 +#382 := (iff #415 false) +#734 := (iff #415 #393) +#397 := (iff #414 false) +#733 := [rewrite]: #397 +#732 := (iff #330 false) +#392 := [rewrite]: #732 +#377 := [monotonicity #392 #733]: #734 +#383 := [trans #377 #381]: #382 +#584 := [monotonicity #383 #581]: #583 +#665 := [trans #584 #674]: #678 +#669 := [monotonicity #665]: #668 +#671 := [trans #669 #666]: #668 +#658 := [quant-inst #8 #69]: #656 +#660 := [mp #658 #671]: #659 +[unit-resolution #660 #86 #749]: false +unsat +2a80a49785a4b459138949d07841039c329934c0 320 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -31206,99 +29098,75 @@ #7 := f5 #18 := (f4 f5 #17) #20 := (f3 #18 #19) -#703 := (pattern #20) +#744 := (pattern #20) #21 := 0::Int -#99 := -1::Int -#103 := (* -1::Int #19) -#100 := (* -1::Int #17) -#106 := (div #100 #103) -#262 := (* -1::Int #106) -#263 := (+ #20 #262) -#264 := (= #263 0::Int) +#86 := -1::Int +#91 := (* -1::Int #19) +#88 := (* -1::Int #17) +#94 := (div #88 #91) +#245 := (* -1::Int #94) +#246 := (+ #20 #245) +#247 := (= #246 0::Int) #31 := (div #17 #19) -#259 := (* -1::Int #31) -#260 := (+ #20 #259) -#261 := (= #260 0::Int) -#77 := (<= #19 0::Int) -#169 := (>= #17 0::Int) -#222 := (or #169 #77) -#223 := (not #222) -#73 := (<= #17 0::Int) -#218 := (or #73 #77) -#219 := (not #218) -#226 := (or #219 #223) -#265 := (if #226 #261 #264) -#258 := (= #20 0::Int) +#242 := (* -1::Int #31) +#243 := (+ #20 #242) +#244 := (= #243 0::Int) +#113 := (<= #19 0::Int) +#120 := (>= #17 0::Int) +#205 := (or #120 #113) +#206 := (not #205) +#109 := (<= #17 0::Int) +#203 := (or #109 #113) +#204 := (not #203) +#209 := (or #204 #206) +#248 := (if #209 #244 #247) +#241 := (= #20 0::Int) #23 := (= #19 0::Int) #22 := (= #17 0::Int) #24 := (or #22 #23) -#266 := (if #24 #258 #265) -#704 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #703) #266) -#269 := (forall (vars (?v0 Int) (?v1 Int)) #266) -#707 := (iff #269 #704) -#705 := (iff #266 #266) -#706 := [refl]: #705 -#708 := [quant-intro #706]: #707 -#229 := (if #226 #31 #106) -#232 := (if #24 0::Int #229) -#235 := (= #20 #232) -#238 := (forall (vars (?v0 Int) (?v1 Int)) #235) -#270 := (iff #238 #269) -#267 := (iff #235 #266) -#268 := [rewrite]: #267 -#271 := [quant-intro #268]: #270 -#78 := (not #77) -#172 := (not #169) -#175 := (and #172 #78) -#74 := (not #73) -#81 := (and #74 #78) -#178 := (or #81 #175) -#181 := (if #178 #31 #106) -#184 := (if #24 0::Int #181) -#187 := (= #20 #184) -#190 := (forall (vars (?v0 Int) (?v1 Int)) #187) -#239 := (iff #190 #238) -#236 := (iff #187 #235) -#233 := (= #184 #232) -#230 := (= #181 #229) -#227 := (iff #178 #226) -#224 := (iff #175 #223) -#225 := [rewrite]: #224 -#220 := (iff #81 #219) -#221 := [rewrite]: #220 -#228 := [monotonicity #221 #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [monotonicity #234]: #236 -#240 := [quant-intro #237]: #239 -#214 := (~ #190 #190) -#212 := (~ #187 #187) -#213 := [refl]: #212 -#215 := [nnf-pos #213]: #214 -#84 := (<= 0::Int #17) -#85 := (not #84) -#93 := (and #85 #78) -#96 := (or #81 #93) -#109 := (if #96 #31 #106) -#112 := (if #24 0::Int #109) -#115 := (= #20 #112) -#118 := (forall (vars (?v0 Int) (?v1 Int)) #115) -#191 := (iff #118 #190) -#188 := (iff #115 #187) -#185 := (= #112 #184) -#182 := (= #109 #181) -#179 := (iff #96 #178) -#176 := (iff #93 #175) -#173 := (iff #85 #172) -#170 := (iff #84 #169) -#171 := [rewrite]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [monotonicity #186]: #188 -#192 := [quant-intro #189]: #191 +#249 := (if #24 #241 #248) +#745 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #744) #249) +#252 := (forall (vars (?v0 Int) (?v1 Int)) #249) +#748 := (iff #252 #745) +#746 := (iff #249 #249) +#747 := [refl]: #746 +#749 := [quant-intro #747]: #748 +#212 := (if #209 #31 #94) +#215 := (if #24 0::Int #212) +#218 := (= #20 #215) +#221 := (forall (vars (?v0 Int) (?v1 Int)) #218) +#253 := (iff #221 #252) +#250 := (iff #218 #249) +#251 := [rewrite]: #250 +#254 := [quant-intro #251]: #253 +#114 := (not #113) +#121 := (not #120) +#124 := (and #121 #114) +#110 := (not #109) +#117 := (and #110 #114) +#127 := (or #117 #124) +#130 := (if #127 #31 #94) +#133 := (if #24 0::Int #130) +#136 := (= #20 #133) +#139 := (forall (vars (?v0 Int) (?v1 Int)) #136) +#222 := (iff #139 #221) +#219 := (iff #136 #218) +#216 := (= #133 #215) +#213 := (= #130 #212) +#210 := (iff #127 #209) +#207 := (iff #124 #206) +#208 := [rewrite]: #207 +#197 := (iff #117 #204) +#198 := [rewrite]: #197 +#211 := [monotonicity #198 #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [monotonicity #217]: #219 +#223 := [quant-intro #220]: #222 +#201 := (~ #139 #139) +#199 := (~ #136 #136) +#200 := [refl]: #199 +#202 := [nnf-pos #200]: #201 #33 := (- #19) #32 := (- #17) #34 := (div #32 #33) @@ -31312,51 +29180,59 @@ #36 := (if #24 0::Int #35) #37 := (= #20 #36) #38 := (forall (vars (?v0 Int) (?v1 Int)) #37) -#119 := (iff #38 #118) -#116 := (iff #37 #115) -#113 := (= #36 #112) -#110 := (= #35 #109) -#107 := (= #34 #106) -#104 := (= #33 #103) -#105 := [rewrite]: #104 -#101 := (= #32 #100) -#102 := [rewrite]: #101 -#108 := [monotonicity #102 #105]: #107 -#97 := (iff #30 #96) -#94 := (iff #29 #93) -#79 := (iff #26 #78) -#80 := [rewrite]: #79 -#86 := (iff #28 #85) -#90 := (iff #85 #85) -#88 := (iff #84 #84) -#89 := [rewrite]: #88 -#91 := [monotonicity #89]: #90 -#87 := [rewrite]: #86 -#92 := [trans #87 #91]: #86 -#95 := [monotonicity #92 #80]: #94 -#82 := (iff #27 #81) -#75 := (iff #25 #74) -#76 := [rewrite]: #75 -#83 := [monotonicity #76 #80]: #82 -#98 := [monotonicity #83 #95]: #97 -#111 := [monotonicity #98 #108]: #110 -#114 := [monotonicity #111]: #113 -#117 := [monotonicity #114]: #116 -#120 := [quant-intro #117]: #119 -#52 := [asserted]: #38 -#121 := [mp #52 #120]: #118 -#193 := [mp #121 #192]: #190 -#167 := [mp~ #193 #215]: #190 -#241 := [mp #167 #240]: #238 -#272 := [mp #241 #271]: #269 -#709 := [mp #272 #708]: #704 -#63 := -2::Int -#57 := -3::Int +#142 := (iff #38 #139) +#97 := (if #30 #31 #94) +#100 := (if #24 0::Int #97) +#103 := (= #20 #100) +#106 := (forall (vars (?v0 Int) (?v1 Int)) #103) +#140 := (iff #106 #139) +#137 := (iff #103 #136) +#134 := (= #100 #133) +#131 := (= #97 #130) +#128 := (iff #30 #127) +#125 := (iff #29 #124) +#115 := (iff #26 #114) +#116 := [rewrite]: #115 +#122 := (iff #28 #121) +#123 := [rewrite]: #122 +#126 := [monotonicity #123 #116]: #125 +#118 := (iff #27 #117) +#111 := (iff #25 #110) +#112 := [rewrite]: #111 +#119 := [monotonicity #112 #116]: #118 +#129 := [monotonicity #119 #126]: #128 +#132 := [monotonicity #129]: #131 +#135 := [monotonicity #132]: #134 +#138 := [monotonicity #135]: #137 +#141 := [quant-intro #138]: #140 +#107 := (iff #38 #106) +#104 := (iff #37 #103) +#101 := (= #36 #100) +#98 := (= #35 #97) +#95 := (= #34 #94) +#92 := (= #33 #91) +#93 := [rewrite]: #92 +#89 := (= #32 #88) +#90 := [rewrite]: #89 +#96 := [monotonicity #90 #93]: #95 +#99 := [monotonicity #96]: #98 +#102 := [monotonicity #99]: #101 +#105 := [monotonicity #102]: #104 +#108 := [quant-intro #105]: #107 +#143 := [trans #108 #141]: #142 +#85 := [asserted]: #38 +#144 := [mp #85 #143]: #139 +#193 := [mp~ #144 #202]: #139 +#224 := [mp #193 #223]: #221 +#255 := [mp #224 #254]: #252 +#750 := [mp #255 #749]: #745 +#76 := -2::Int +#70 := -3::Int #8 := 5::Int #9 := (f4 f5 5::Int) -#60 := (f3 #9 -3::Int) -#66 := (= #60 -2::Int) -#69 := (not #66) +#73 := (f3 #9 -3::Int) +#79 := (= #73 -2::Int) +#82 := (not #79) #13 := 2::Int #14 := (- 2::Int) #10 := 3::Int @@ -31364,176 +29240,176 @@ #12 := (f3 #9 #11) #15 := (= #12 #14) #16 := (not #15) -#70 := (iff #16 #69) -#67 := (iff #15 #66) -#64 := (= #14 -2::Int) -#65 := [rewrite]: #64 -#61 := (= #12 #60) -#58 := (= #11 -3::Int) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#68 := [monotonicity #62 #65]: #67 -#71 := [monotonicity #68]: #70 -#51 := [asserted]: #16 -#72 := [mp #51 #71]: #69 -#623 := (not #704) -#617 := (or #623 #66) -#366 := (* -1::Int -3::Int) -#365 := (* -1::Int 5::Int) -#698 := (div #365 #366) -#699 := (* -1::Int #698) -#700 := (+ #60 #699) -#701 := (= #700 0::Int) -#697 := (div 5::Int -3::Int) -#354 := (* -1::Int #697) -#484 := (+ #60 #354) -#691 := (= #484 0::Int) -#378 := (<= -3::Int 0::Int) -#377 := (>= 5::Int 0::Int) -#381 := (or #377 #378) -#360 := (not #381) -#367 := (<= 5::Int 0::Int) -#379 := (or #367 #378) -#380 := (not #379) -#695 := (or #380 #360) -#696 := (if #695 #691 #701) -#376 := (= #60 0::Int) -#374 := (= -3::Int 0::Int) -#289 := (= 5::Int 0::Int) -#375 := (or #289 #374) -#702 := (if #375 #376 #696) -#624 := (or #623 #702) -#609 := (iff #624 #617) -#612 := (iff #617 #617) -#613 := [rewrite]: #612 -#621 := (iff #702 #66) -#629 := (if false #376 #66) -#631 := (iff #629 #66) -#620 := [rewrite]: #631 -#630 := (iff #702 #629) -#618 := (iff #696 #66) -#649 := (= #60 -1::Int) -#638 := (if false #649 #66) -#619 := (iff #638 #66) -#616 := [rewrite]: #619 -#625 := (iff #696 #638) -#637 := (iff #701 #66) -#521 := (+ 2::Int #60) -#540 := (= #521 0::Int) -#543 := (iff #540 #66) -#544 := [rewrite]: #543 -#541 := (iff #701 #540) -#539 := (= #700 #521) -#632 := (+ #60 2::Int) -#536 := (= #632 #521) -#538 := [rewrite]: #536 -#633 := (= #700 #632) -#635 := (= #699 2::Int) -#644 := (* -1::Int -2::Int) -#528 := (= #644 2::Int) -#487 := [rewrite]: #528 -#526 := (= #699 #644) -#643 := (= #698 -2::Int) -#652 := -5::Int -#485 := (div -5::Int 3::Int) -#640 := (= #485 -2::Int) -#642 := [rewrite]: #640 -#486 := (= #698 #485) -#654 := (= #366 3::Int) -#483 := [rewrite]: #654 -#653 := (= #365 -5::Int) -#647 := [rewrite]: #653 -#639 := [monotonicity #647 #483]: #486 -#641 := [trans #639 #642]: #643 -#527 := [monotonicity #641]: #526 -#537 := [trans #527 #487]: #635 -#636 := [monotonicity #537]: #633 -#532 := [trans #636 #538]: #539 -#542 := [monotonicity #532]: #541 -#634 := [trans #542 #544]: #637 -#645 := (iff #691 #649) -#307 := 1::Int -#661 := (+ 1::Int #60) -#505 := (= #661 0::Int) -#650 := (iff #505 #649) -#651 := [rewrite]: #650 -#506 := (iff #691 #505) -#663 := (= #484 #661) -#660 := (+ #60 1::Int) -#662 := (= #660 #661) -#657 := [rewrite]: #662 -#655 := (= #484 #660) -#658 := (= #354 1::Int) -#382 := (* -1::Int -1::Int) -#665 := (= #382 1::Int) -#669 := [rewrite]: #665 -#664 := (= #354 #382) -#666 := (= #697 -1::Int) -#667 := [rewrite]: #666 -#668 := [monotonicity #667]: #664 -#659 := [trans #668 #669]: #658 -#656 := [monotonicity #659]: #655 -#504 := [trans #656 #657]: #663 -#648 := [monotonicity #504]: #506 -#646 := [trans #648 #651]: #645 -#387 := (iff #695 false) -#353 := (or false false) -#678 := (iff #353 false) -#341 := [rewrite]: #678 -#385 := (iff #695 #353) -#671 := (iff #360 false) -#1 := true -#328 := (not true) -#687 := (iff #328 false) -#690 := [rewrite]: #687 -#670 := (iff #360 #328) -#395 := (iff #381 true) -#401 := (or true true) -#672 := (iff #401 true) -#673 := [rewrite]: #672 -#402 := (iff #381 #401) -#681 := (iff #378 true) -#682 := [rewrite]: #681 -#399 := (iff #377 true) -#400 := [rewrite]: #399 -#295 := [monotonicity #400 #682]: #402 -#396 := [trans #295 #673]: #395 -#674 := [monotonicity #396]: #670 -#675 := [trans #674 #690]: #671 -#676 := (iff #380 false) -#329 := (iff #380 #328) -#686 := (iff #379 true) -#683 := (or false true) -#685 := (iff #683 true) -#323 := [rewrite]: #685 -#684 := (iff #379 #683) -#344 := (iff #367 false) -#680 := [rewrite]: #344 -#679 := [monotonicity #680 #682]: #684 -#688 := [trans #679 #323]: #686 -#689 := [monotonicity #688]: #329 -#677 := [trans #689 #690]: #676 -#386 := [monotonicity #677 #675]: #385 -#388 := [trans #386 #341]: #387 -#627 := [monotonicity #388 #646 #634]: #625 -#628 := [trans #627 #616]: #618 -#342 := (iff #375 false) -#694 := (iff #375 #353) -#357 := (iff #374 false) -#693 := [rewrite]: #357 -#692 := (iff #289 false) -#352 := [rewrite]: #692 -#337 := [monotonicity #352 #693]: #694 -#343 := [trans #337 #341]: #342 -#626 := [monotonicity #343 #628]: #630 -#622 := [trans #626 #620]: #621 -#611 := [monotonicity #622]: #609 -#614 := [trans #611 #613]: #609 -#608 := [quant-inst #8 #57]: #624 -#610 := [mp #608 #614]: #617 -[unit-resolution #610 #72 #709]: false -f1eea19af20531a11f6cccfddc40aec123007d40 325 0 -unsat +#83 := (iff #16 #82) +#80 := (iff #15 #79) +#77 := (= #14 -2::Int) +#78 := [rewrite]: #77 +#74 := (= #12 #73) +#71 := (= #11 -3::Int) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#81 := [monotonicity #75 #78]: #80 +#84 := [monotonicity #81]: #83 +#69 := [asserted]: #16 +#87 := [mp #69 #84]: #82 +#664 := (not #745) +#658 := (or #664 #79) +#407 := (* -1::Int -3::Int) +#406 := (* -1::Int 5::Int) +#739 := (div #406 #407) +#740 := (* -1::Int #739) +#741 := (+ #73 #740) +#742 := (= #741 0::Int) +#738 := (div 5::Int -3::Int) +#395 := (* -1::Int #738) +#525 := (+ #73 #395) +#732 := (= #525 0::Int) +#419 := (<= -3::Int 0::Int) +#418 := (>= 5::Int 0::Int) +#422 := (or #418 #419) +#401 := (not #422) +#408 := (<= 5::Int 0::Int) +#420 := (or #408 #419) +#421 := (not #420) +#736 := (or #421 #401) +#737 := (if #736 #732 #742) +#417 := (= #73 0::Int) +#415 := (= -3::Int 0::Int) +#331 := (= 5::Int 0::Int) +#416 := (or #331 #415) +#743 := (if #416 #417 #737) +#665 := (or #664 #743) +#650 := (iff #665 #658) +#653 := (iff #658 #658) +#654 := [rewrite]: #653 +#662 := (iff #743 #79) +#670 := (if false #417 #79) +#672 := (iff #670 #79) +#661 := [rewrite]: #672 +#671 := (iff #743 #670) +#659 := (iff #737 #79) +#690 := (= #73 -1::Int) +#679 := (if false #690 #79) +#660 := (iff #679 #79) +#657 := [rewrite]: #660 +#666 := (iff #737 #679) +#678 := (iff #742 #79) +#562 := (+ 2::Int #73) +#581 := (= #562 0::Int) +#584 := (iff #581 #79) +#585 := [rewrite]: #584 +#582 := (iff #742 #581) +#580 := (= #741 #562) +#673 := (+ #73 2::Int) +#577 := (= #673 #562) +#579 := [rewrite]: #577 +#674 := (= #741 #673) +#676 := (= #740 2::Int) +#685 := (* -1::Int -2::Int) +#569 := (= #685 2::Int) +#528 := [rewrite]: #569 +#567 := (= #740 #685) +#684 := (= #739 -2::Int) +#693 := -5::Int +#526 := (div -5::Int 3::Int) +#681 := (= #526 -2::Int) +#683 := [rewrite]: #681 +#527 := (= #739 #526) +#695 := (= #407 3::Int) +#524 := [rewrite]: #695 +#694 := (= #406 -5::Int) +#688 := [rewrite]: #694 +#680 := [monotonicity #688 #524]: #527 +#682 := [trans #680 #683]: #684 +#568 := [monotonicity #682]: #567 +#578 := [trans #568 #528]: #676 +#677 := [monotonicity #578]: #674 +#573 := [trans #677 #579]: #580 +#583 := [monotonicity #573]: #582 +#675 := [trans #583 #585]: #678 +#686 := (iff #732 #690) +#284 := 1::Int +#702 := (+ 1::Int #73) +#546 := (= #702 0::Int) +#691 := (iff #546 #690) +#692 := [rewrite]: #691 +#547 := (iff #732 #546) +#704 := (= #525 #702) +#701 := (+ #73 1::Int) +#703 := (= #701 #702) +#698 := [rewrite]: #703 +#696 := (= #525 #701) +#699 := (= #395 1::Int) +#423 := (* -1::Int -1::Int) +#706 := (= #423 1::Int) +#710 := [rewrite]: #706 +#705 := (= #395 #423) +#707 := (= #738 -1::Int) +#708 := [rewrite]: #707 +#709 := [monotonicity #708]: #705 +#700 := [trans #709 #710]: #699 +#697 := [monotonicity #700]: #696 +#545 := [trans #697 #698]: #704 +#689 := [monotonicity #545]: #547 +#687 := [trans #689 #692]: #686 +#428 := (iff #736 false) +#394 := (or false false) +#719 := (iff #394 false) +#382 := [rewrite]: #719 +#426 := (iff #736 #394) +#712 := (iff #401 false) +#1 := true +#369 := (not true) +#728 := (iff #369 false) +#731 := [rewrite]: #728 +#711 := (iff #401 #369) +#436 := (iff #422 true) +#442 := (or true true) +#713 := (iff #442 true) +#714 := [rewrite]: #713 +#443 := (iff #422 #442) +#722 := (iff #419 true) +#723 := [rewrite]: #722 +#440 := (iff #418 true) +#441 := [rewrite]: #440 +#337 := [monotonicity #441 #723]: #443 +#437 := [trans #337 #714]: #436 +#715 := [monotonicity #437]: #711 +#716 := [trans #715 #731]: #712 +#717 := (iff #421 false) +#370 := (iff #421 #369) +#727 := (iff #420 true) +#724 := (or false true) +#726 := (iff #724 true) +#364 := [rewrite]: #726 +#725 := (iff #420 #724) +#385 := (iff #408 false) +#721 := [rewrite]: #385 +#720 := [monotonicity #721 #723]: #725 +#729 := [trans #720 #364]: #727 +#730 := [monotonicity #729]: #370 +#718 := [trans #730 #731]: #717 +#427 := [monotonicity #718 #716]: #426 +#429 := [trans #427 #382]: #428 +#668 := [monotonicity #429 #687 #675]: #666 +#669 := [trans #668 #657]: #659 +#383 := (iff #416 false) +#735 := (iff #416 #394) +#398 := (iff #415 false) +#734 := [rewrite]: #398 +#733 := (iff #331 false) +#393 := [rewrite]: #733 +#378 := [monotonicity #393 #734]: #735 +#384 := [trans #378 #382]: #383 +#667 := [monotonicity #384 #669]: #671 +#663 := [trans #667 #661]: #662 +#652 := [monotonicity #663]: #650 +#655 := [trans #652 #654]: #650 +#649 := [quant-inst #8 #70]: #665 +#651 := [mp #649 #655]: #658 +[unit-resolution #651 #87 #750]: false +unsat +77ef498d73e559a8192af9250d4abc98f525f4cc 309 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -31543,99 +29419,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#699 := (pattern #18) +#742 := (pattern #18) #19 := 0::Int -#55 := -1::Int -#100 := (* -1::Int #17) -#97 := (* -1::Int #15) -#103 := (div #97 #100) -#259 := (* -1::Int #103) -#260 := (+ #18 #259) -#261 := (= #260 0::Int) +#68 := -1::Int +#88 := (* -1::Int #17) +#84 := (* -1::Int #15) +#91 := (div #84 #88) +#242 := (* -1::Int #91) +#243 := (+ #18 #242) +#244 := (= #243 0::Int) #29 := (div #15 #17) -#256 := (* -1::Int #29) -#257 := (+ #18 #256) -#258 := (= #257 0::Int) -#75 := (<= #17 0::Int) -#166 := (>= #15 0::Int) -#219 := (or #166 #75) -#220 := (not #219) -#71 := (<= #15 0::Int) -#215 := (or #71 #75) -#216 := (not #215) -#223 := (or #216 #220) -#262 := (if #223 #258 #261) -#255 := (= #18 0::Int) +#239 := (* -1::Int #29) +#240 := (+ #18 #239) +#241 := (= #240 0::Int) +#110 := (<= #17 0::Int) +#117 := (>= #15 0::Int) +#202 := (or #117 #110) +#203 := (not #202) +#106 := (<= #15 0::Int) +#200 := (or #106 #110) +#201 := (not #200) +#206 := (or #201 #203) +#245 := (if #206 #241 #244) +#238 := (= #18 0::Int) #21 := (= #17 0::Int) #20 := (= #15 0::Int) #22 := (or #20 #21) -#263 := (if #22 #255 #262) -#700 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #699) #263) -#266 := (forall (vars (?v0 Int) (?v1 Int)) #263) -#703 := (iff #266 #700) -#701 := (iff #263 #263) -#702 := [refl]: #701 -#704 := [quant-intro #702]: #703 -#226 := (if #223 #29 #103) -#229 := (if #22 0::Int #226) -#232 := (= #18 #229) -#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) -#267 := (iff #235 #266) -#264 := (iff #232 #263) -#265 := [rewrite]: #264 -#268 := [quant-intro #265]: #267 -#76 := (not #75) -#169 := (not #166) -#172 := (and #169 #76) -#72 := (not #71) -#79 := (and #72 #76) -#175 := (or #79 #172) -#178 := (if #175 #29 #103) -#181 := (if #22 0::Int #178) -#184 := (= #18 #181) -#187 := (forall (vars (?v0 Int) (?v1 Int)) #184) -#236 := (iff #187 #235) -#233 := (iff #184 #232) -#230 := (= #181 #229) -#227 := (= #178 #226) -#224 := (iff #175 #223) -#221 := (iff #172 #220) -#222 := [rewrite]: #221 -#217 := (iff #79 #216) -#218 := [rewrite]: #217 -#225 := [monotonicity #218 #222]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [quant-intro #234]: #236 -#209 := (~ #187 #187) -#211 := (~ #184 #184) -#212 := [refl]: #211 -#210 := [nnf-pos #212]: #209 -#82 := (<= 0::Int #15) -#83 := (not #82) -#91 := (and #83 #76) -#94 := (or #79 #91) -#106 := (if #94 #29 #103) -#109 := (if #22 0::Int #106) -#112 := (= #18 #109) -#115 := (forall (vars (?v0 Int) (?v1 Int)) #112) -#188 := (iff #115 #187) -#185 := (iff #112 #184) -#182 := (= #109 #181) -#179 := (= #106 #178) -#176 := (iff #94 #175) -#173 := (iff #91 #172) -#170 := (iff #83 #169) -#167 := (iff #82 #166) -#168 := [rewrite]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [quant-intro #186]: #188 +#246 := (if #22 #238 #245) +#743 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #742) #246) +#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) +#746 := (iff #249 #743) +#744 := (iff #246 #246) +#745 := [refl]: #744 +#747 := [quant-intro #745]: #746 +#209 := (if #206 #29 #91) +#212 := (if #22 0::Int #209) +#215 := (= #18 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#250 := (iff #218 #249) +#247 := (iff #215 #246) +#248 := [rewrite]: #247 +#251 := [quant-intro #248]: #250 +#111 := (not #110) +#118 := (not #117) +#121 := (and #118 #111) +#107 := (not #106) +#114 := (and #107 #111) +#124 := (or #114 #121) +#127 := (if #124 #29 #91) +#130 := (if #22 0::Int #127) +#133 := (= #18 #130) +#136 := (forall (vars (?v0 Int) (?v1 Int)) #133) +#219 := (iff #136 #218) +#216 := (iff #133 #215) +#213 := (= #130 #212) +#210 := (= #127 #209) +#207 := (iff #124 #206) +#204 := (iff #121 #203) +#205 := [rewrite]: #204 +#194 := (iff #114 #201) +#195 := [rewrite]: #194 +#208 := [monotonicity #195 #205]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#198 := (~ #136 #136) +#196 := (~ #133 #133) +#197 := [refl]: #196 +#199 := [nnf-pos #197]: #198 #31 := (- #17) #30 := (- #15) #32 := (div #30 #31) @@ -31649,217 +29501,225 @@ #34 := (if #22 0::Int #33) #35 := (= #18 #34) #36 := (forall (vars (?v0 Int) (?v1 Int)) #35) -#116 := (iff #36 #115) -#113 := (iff #35 #112) -#110 := (= #34 #109) -#107 := (= #33 #106) -#104 := (= #32 #103) -#101 := (= #31 #100) -#102 := [rewrite]: #101 -#98 := (= #30 #97) -#99 := [rewrite]: #98 -#105 := [monotonicity #99 #102]: #104 -#95 := (iff #28 #94) -#92 := (iff #27 #91) -#77 := (iff #24 #76) -#78 := [rewrite]: #77 -#84 := (iff #26 #83) -#88 := (iff #83 #83) -#86 := (iff #82 #82) +#139 := (iff #36 #136) +#94 := (if #28 #29 #91) +#97 := (if #22 0::Int #94) +#100 := (= #18 #97) +#103 := (forall (vars (?v0 Int) (?v1 Int)) #100) +#137 := (iff #103 #136) +#134 := (iff #100 #133) +#131 := (= #97 #130) +#128 := (= #94 #127) +#125 := (iff #28 #124) +#122 := (iff #27 #121) +#112 := (iff #24 #111) +#113 := [rewrite]: #112 +#119 := (iff #26 #118) +#120 := [rewrite]: #119 +#123 := [monotonicity #120 #113]: #122 +#115 := (iff #25 #114) +#108 := (iff #23 #107) +#109 := [rewrite]: #108 +#116 := [monotonicity #109 #113]: #115 +#126 := [monotonicity #116 #123]: #125 +#129 := [monotonicity #126]: #128 +#132 := [monotonicity #129]: #131 +#135 := [monotonicity #132]: #134 +#138 := [quant-intro #135]: #137 +#104 := (iff #36 #103) +#101 := (iff #35 #100) +#98 := (= #34 #97) +#95 := (= #33 #94) +#92 := (= #32 #91) +#89 := (= #31 #88) +#90 := [rewrite]: #89 +#86 := (= #30 #84) #87 := [rewrite]: #86 -#89 := [monotonicity #87]: #88 -#85 := [rewrite]: #84 -#90 := [trans #85 #89]: #84 -#93 := [monotonicity #90 #78]: #92 -#80 := (iff #25 #79) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#81 := [monotonicity #74 #78]: #80 -#96 := [monotonicity #81 #93]: #95 -#108 := [monotonicity #96 #105]: #107 -#111 := [monotonicity #108]: #110 -#114 := [monotonicity #111]: #113 -#117 := [quant-intro #114]: #116 -#50 := [asserted]: #36 -#118 := [mp #50 #117]: #115 -#190 := [mp #118 #189]: #187 -#207 := [mp~ #190 #210]: #187 -#238 := [mp #207 #237]: #235 -#269 := [mp #238 #268]: #266 -#705 := [mp #269 #704]: #700 +#93 := [monotonicity #87 #90]: #92 +#96 := [monotonicity #93]: #95 +#99 := [monotonicity #96]: #98 +#102 := [monotonicity #99]: #101 +#105 := [quant-intro #102]: #104 +#140 := [trans #105 #138]: #139 +#83 := [asserted]: #36 +#141 := [mp #83 #140]: #136 +#190 := [mp~ #141 #199]: #136 +#221 := [mp #190 #220]: #218 +#252 := [mp #221 #251]: #249 +#748 := [mp #252 #747]: #743 #11 := 3::Int -#58 := (f4 f5 -1::Int) -#61 := (f3 #58 3::Int) -#64 := (= #61 -1::Int) -#67 := (not #64) +#71 := (f4 f5 -1::Int) +#74 := (f3 #71 3::Int) +#77 := (= #74 -1::Int) +#80 := (not #77) #8 := 1::Int #9 := (- 1::Int) #10 := (f4 f5 #9) #12 := (f3 #10 3::Int) #13 := (= #12 #9) #14 := (not #13) -#68 := (iff #14 #67) -#65 := (iff #13 #64) -#56 := (= #9 -1::Int) -#57 := [rewrite]: #56 -#62 := (= #12 #61) -#59 := (= #10 #58) -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60]: #62 -#66 := [monotonicity #63 #57]: #65 -#69 := [monotonicity #66]: #68 -#49 := [asserted]: #14 -#70 := [mp #49 #69]: #67 -#625 := (not #700) -#626 := (or #625 #64) -#362 := (* -1::Int 3::Int) -#361 := (* -1::Int -1::Int) -#694 := (div #361 #362) -#695 := (* -1::Int #694) -#696 := (+ #61 #695) -#697 := (= #696 0::Int) -#693 := (div -1::Int 3::Int) -#350 := (* -1::Int #693) -#480 := (+ #61 #350) -#687 := (= #480 0::Int) -#374 := (<= 3::Int 0::Int) -#373 := (>= -1::Int 0::Int) -#377 := (or #373 #374) -#356 := (not #377) -#363 := (<= -1::Int 0::Int) -#375 := (or #363 #374) -#376 := (not #375) -#691 := (or #376 #356) -#692 := (if #691 #687 #697) -#372 := (= #61 0::Int) -#370 := (= 3::Int 0::Int) -#286 := (= -1::Int 0::Int) -#371 := (or #286 #370) -#698 := (if #371 #372 #692) -#622 := (or #625 #698) -#616 := (iff #622 #626) -#618 := (iff #626 #626) -#619 := [rewrite]: #618 -#614 := (iff #698 #64) -#634 := (if false #372 #64) -#615 := (iff #634 #64) -#612 := [rewrite]: #615 -#621 := (iff #698 #634) -#633 := (iff #692 #64) -#1 := true -#536 := (if true #64 #372) -#539 := (iff #536 #64) -#540 := [rewrite]: #539 -#537 := (iff #692 #536) -#535 := (iff #697 #372) -#532 := (= #696 #61) -#533 := (+ #61 0::Int) -#632 := (= #533 #61) -#517 := [rewrite]: #632 -#628 := (= #696 #533) -#483 := (= #695 0::Int) -#637 := (* -1::Int 0::Int) -#523 := (= #637 0::Int) -#524 := [rewrite]: #523 -#640 := (= #695 #637) -#638 := (= #694 0::Int) -#649 := -3::Int -#479 := (div 1::Int -3::Int) -#635 := (= #479 0::Int) -#636 := [rewrite]: #635 -#481 := (= #694 #479) -#643 := (= #362 -3::Int) -#650 := [rewrite]: #643 -#654 := (= #361 1::Int) -#655 := [rewrite]: #654 -#482 := [monotonicity #655 #650]: #481 -#639 := [trans #482 #636]: #638 -#522 := [monotonicity #639]: #640 -#631 := [trans #522 #524]: #483 -#629 := [monotonicity #631]: #628 -#534 := [trans #629 #517]: #532 -#528 := [monotonicity #534]: #535 -#642 := (iff #687 #64) -#653 := (+ 1::Int #61) -#644 := (= #653 0::Int) -#647 := (iff #644 #64) -#641 := [rewrite]: #647 -#645 := (iff #687 #644) -#501 := (= #480 #653) -#652 := (+ #61 1::Int) -#659 := (= #652 #653) -#500 := [rewrite]: #659 -#657 := (= #480 #652) -#656 := (= #350 1::Int) -#661 := (= #350 #361) -#660 := (= #693 -1::Int) -#664 := [rewrite]: #660 -#665 := [monotonicity #664]: #661 -#651 := [trans #665 #655]: #656 -#658 := [monotonicity #651]: #657 -#502 := [trans #658 #500]: #501 -#646 := [monotonicity #502]: #645 -#648 := [trans #646 #641]: #642 -#663 := (iff #691 true) -#381 := (or false true) -#384 := (iff #381 true) -#662 := [rewrite]: #384 -#382 := (iff #691 #381) -#667 := (iff #356 true) -#669 := (not false) -#666 := (iff #669 true) -#670 := [rewrite]: #666 -#391 := (iff #356 #669) -#292 := (iff #377 false) -#349 := (or false false) -#674 := (iff #349 false) -#337 := [rewrite]: #674 -#397 := (iff #377 #349) -#677 := (iff #374 false) -#678 := [rewrite]: #677 -#395 := (iff #373 false) -#396 := [rewrite]: #395 -#398 := [monotonicity #396 #678]: #397 -#668 := [trans #398 #337]: #292 -#392 := [monotonicity #668]: #391 -#671 := [trans #392 #670]: #667 -#672 := (iff #376 false) -#324 := (not true) -#683 := (iff #324 false) -#686 := [rewrite]: #683 -#325 := (iff #376 #324) -#682 := (iff #375 true) -#679 := (or true false) -#681 := (iff #679 true) -#319 := [rewrite]: #681 -#680 := (iff #375 #679) -#340 := (iff #363 true) -#676 := [rewrite]: #340 -#675 := [monotonicity #676 #678]: #680 -#684 := [trans #675 #319]: #682 -#685 := [monotonicity #684]: #325 -#673 := [trans #685 #686]: #672 -#383 := [monotonicity #673 #671]: #382 -#378 := [trans #383 #662]: #663 -#538 := [monotonicity #378 #648 #528]: #537 -#630 := [trans #538 #540]: #633 -#338 := (iff #371 false) -#690 := (iff #371 #349) -#353 := (iff #370 false) -#689 := [rewrite]: #353 -#688 := (iff #286 false) -#348 := [rewrite]: #688 -#333 := [monotonicity #348 #689]: #690 -#339 := [trans #333 #337]: #338 -#623 := [monotonicity #339 #630]: #621 -#624 := [trans #623 #612]: #614 -#617 := [monotonicity #624]: #616 -#613 := [trans #617 #619]: #616 -#627 := [quant-inst #55 #11]: #622 -#620 := [mp #627 #613]: #626 -[unit-resolution #620 #70 #705]: false -b3b7ec77601c17fd899065a2138ddfd9bb069c98 327 0 -unsat +#81 := (iff #14 #80) +#78 := (iff #13 #77) +#69 := (= #9 -1::Int) +#70 := [rewrite]: #69 +#75 := (= #12 #74) +#72 := (= #10 #71) +#73 := [monotonicity #70]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76 #70]: #78 +#82 := [monotonicity #79]: #81 +#67 := [asserted]: #14 +#85 := [mp #67 #82]: #80 +#668 := (not #743) +#669 := (or #668 #77) +#405 := (* -1::Int 3::Int) +#404 := (* -1::Int -1::Int) +#737 := (div #404 #405) +#738 := (* -1::Int #737) +#739 := (+ #74 #738) +#740 := (= #739 0::Int) +#736 := (div -1::Int 3::Int) +#393 := (* -1::Int #736) +#523 := (+ #74 #393) +#730 := (= #523 0::Int) +#417 := (<= 3::Int 0::Int) +#416 := (>= -1::Int 0::Int) +#420 := (or #416 #417) +#399 := (not #420) +#406 := (<= -1::Int 0::Int) +#418 := (or #406 #417) +#419 := (not #418) +#734 := (or #419 #399) +#735 := (if #734 #730 #740) +#415 := (= #74 0::Int) +#413 := (= 3::Int 0::Int) +#329 := (= -1::Int 0::Int) +#414 := (or #329 #413) +#741 := (if #414 #415 #735) +#665 := (or #668 #741) +#659 := (iff #665 #669) +#661 := (iff #669 #669) +#662 := [rewrite]: #661 +#657 := (iff #741 #77) +#677 := (if false #415 #77) +#658 := (iff #677 #77) +#655 := [rewrite]: #658 +#664 := (iff #741 #677) +#676 := (iff #735 #77) +#1 := true +#579 := (if true #77 #415) +#582 := (iff #579 #77) +#583 := [rewrite]: #582 +#580 := (iff #735 #579) +#578 := (iff #740 #415) +#575 := (= #739 #74) +#576 := (+ #74 0::Int) +#675 := (= #576 #74) +#560 := [rewrite]: #675 +#671 := (= #739 #576) +#526 := (= #738 0::Int) +#680 := (* -1::Int 0::Int) +#566 := (= #680 0::Int) +#567 := [rewrite]: #566 +#683 := (= #738 #680) +#681 := (= #737 0::Int) +#692 := -3::Int +#522 := (div 1::Int -3::Int) +#678 := (= #522 0::Int) +#679 := [rewrite]: #678 +#524 := (= #737 #522) +#686 := (= #405 -3::Int) +#693 := [rewrite]: #686 +#697 := (= #404 1::Int) +#698 := [rewrite]: #697 +#525 := [monotonicity #698 #693]: #524 +#682 := [trans #525 #679]: #681 +#565 := [monotonicity #682]: #683 +#674 := [trans #565 #567]: #526 +#672 := [monotonicity #674]: #671 +#577 := [trans #672 #560]: #575 +#571 := [monotonicity #577]: #578 +#685 := (iff #730 #77) +#696 := (+ 1::Int #74) +#687 := (= #696 0::Int) +#690 := (iff #687 #77) +#684 := [rewrite]: #690 +#688 := (iff #730 #687) +#544 := (= #523 #696) +#695 := (+ #74 1::Int) +#702 := (= #695 #696) +#543 := [rewrite]: #702 +#700 := (= #523 #695) +#699 := (= #393 1::Int) +#704 := (= #393 #404) +#703 := (= #736 -1::Int) +#707 := [rewrite]: #703 +#708 := [monotonicity #707]: #704 +#694 := [trans #708 #698]: #699 +#701 := [monotonicity #694]: #700 +#545 := [trans #701 #543]: #544 +#689 := [monotonicity #545]: #688 +#691 := [trans #689 #684]: #685 +#706 := (iff #734 true) +#424 := (or false true) +#427 := (iff #424 true) +#705 := [rewrite]: #427 +#425 := (iff #734 #424) +#710 := (iff #399 true) +#712 := (not false) +#709 := (iff #712 true) +#713 := [rewrite]: #709 +#434 := (iff #399 #712) +#335 := (iff #420 false) +#392 := (or false false) +#717 := (iff #392 false) +#380 := [rewrite]: #717 +#440 := (iff #420 #392) +#720 := (iff #417 false) +#721 := [rewrite]: #720 +#438 := (iff #416 false) +#439 := [rewrite]: #438 +#441 := [monotonicity #439 #721]: #440 +#711 := [trans #441 #380]: #335 +#435 := [monotonicity #711]: #434 +#714 := [trans #435 #713]: #710 +#715 := (iff #419 false) +#367 := (not true) +#726 := (iff #367 false) +#729 := [rewrite]: #726 +#368 := (iff #419 #367) +#725 := (iff #418 true) +#722 := (or true false) +#724 := (iff #722 true) +#362 := [rewrite]: #724 +#723 := (iff #418 #722) +#383 := (iff #406 true) +#719 := [rewrite]: #383 +#718 := [monotonicity #719 #721]: #723 +#727 := [trans #718 #362]: #725 +#728 := [monotonicity #727]: #368 +#716 := [trans #728 #729]: #715 +#426 := [monotonicity #716 #714]: #425 +#421 := [trans #426 #705]: #706 +#581 := [monotonicity #421 #691 #571]: #580 +#673 := [trans #581 #583]: #676 +#381 := (iff #414 false) +#733 := (iff #414 #392) +#396 := (iff #413 false) +#732 := [rewrite]: #396 +#731 := (iff #329 false) +#391 := [rewrite]: #731 +#376 := [monotonicity #391 #732]: #733 +#382 := [trans #376 #380]: #381 +#666 := [monotonicity #382 #673]: #664 +#667 := [trans #666 #655]: #657 +#660 := [monotonicity #667]: #659 +#656 := [trans #660 #662]: #659 +#670 := [quant-inst #68 #11]: #665 +#663 := [mp #670 #656]: #669 +[unit-resolution #663 #85 #748]: false +unsat +71da820ba222aeb0476106e772b16e56642782f7 311 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -31869,99 +29729,75 @@ #7 := f5 #17 := (f4 f5 #16) #19 := (f3 #17 #18) -#703 := (pattern #19) +#746 := (pattern #19) #20 := 0::Int -#65 := -1::Int -#104 := (* -1::Int #18) -#101 := (* -1::Int #16) -#107 := (div #101 #104) -#263 := (* -1::Int #107) -#264 := (+ #19 #263) -#265 := (= #264 0::Int) +#78 := -1::Int +#92 := (* -1::Int #18) +#88 := (* -1::Int #16) +#95 := (div #88 #92) +#246 := (* -1::Int #95) +#247 := (+ #19 #246) +#248 := (= #247 0::Int) #30 := (div #16 #18) -#260 := (* -1::Int #30) -#261 := (+ #19 #260) -#262 := (= #261 0::Int) -#79 := (<= #18 0::Int) -#170 := (>= #16 0::Int) -#223 := (or #170 #79) -#224 := (not #223) -#75 := (<= #16 0::Int) -#219 := (or #75 #79) -#220 := (not #219) -#227 := (or #220 #224) -#266 := (if #227 #262 #265) -#259 := (= #19 0::Int) +#243 := (* -1::Int #30) +#244 := (+ #19 #243) +#245 := (= #244 0::Int) +#114 := (<= #18 0::Int) +#121 := (>= #16 0::Int) +#206 := (or #121 #114) +#207 := (not #206) +#110 := (<= #16 0::Int) +#204 := (or #110 #114) +#205 := (not #204) +#210 := (or #205 #207) +#249 := (if #210 #245 #248) +#242 := (= #19 0::Int) #22 := (= #18 0::Int) #21 := (= #16 0::Int) #23 := (or #21 #22) -#267 := (if #23 #259 #266) -#704 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #703) #267) -#270 := (forall (vars (?v0 Int) (?v1 Int)) #267) -#707 := (iff #270 #704) -#705 := (iff #267 #267) -#706 := [refl]: #705 -#708 := [quant-intro #706]: #707 -#230 := (if #227 #30 #107) -#233 := (if #23 0::Int #230) -#236 := (= #19 #233) -#239 := (forall (vars (?v0 Int) (?v1 Int)) #236) -#271 := (iff #239 #270) -#268 := (iff #236 #267) -#269 := [rewrite]: #268 -#272 := [quant-intro #269]: #271 -#80 := (not #79) -#173 := (not #170) -#176 := (and #173 #80) -#76 := (not #75) -#83 := (and #76 #80) -#179 := (or #83 #176) -#182 := (if #179 #30 #107) -#185 := (if #23 0::Int #182) -#188 := (= #19 #185) -#191 := (forall (vars (?v0 Int) (?v1 Int)) #188) -#240 := (iff #191 #239) -#237 := (iff #188 #236) -#234 := (= #185 #233) -#231 := (= #182 #230) -#228 := (iff #179 #227) -#225 := (iff #176 #224) -#226 := [rewrite]: #225 -#221 := (iff #83 #220) -#222 := [rewrite]: #221 -#229 := [monotonicity #222 #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [quant-intro #238]: #240 -#215 := (~ #191 #191) -#213 := (~ #188 #188) -#214 := [refl]: #213 -#216 := [nnf-pos #214]: #215 -#86 := (<= 0::Int #16) -#87 := (not #86) -#95 := (and #87 #80) -#98 := (or #83 #95) -#110 := (if #98 #30 #107) -#113 := (if #23 0::Int #110) -#116 := (= #19 #113) -#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) -#192 := (iff #119 #191) -#189 := (iff #116 #188) -#186 := (= #113 #185) -#183 := (= #110 #182) -#180 := (iff #98 #179) -#177 := (iff #95 #176) -#174 := (iff #87 #173) -#171 := (iff #86 #170) -#172 := [rewrite]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [monotonicity #187]: #189 -#193 := [quant-intro #190]: #192 +#250 := (if #23 #242 #249) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #250) +#253 := (forall (vars (?v0 Int) (?v1 Int)) #250) +#750 := (iff #253 #747) +#748 := (iff #250 #250) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#213 := (if #210 #30 #95) +#216 := (if #23 0::Int #213) +#219 := (= #19 #216) +#222 := (forall (vars (?v0 Int) (?v1 Int)) #219) +#254 := (iff #222 #253) +#251 := (iff #219 #250) +#252 := [rewrite]: #251 +#255 := [quant-intro #252]: #254 +#115 := (not #114) +#122 := (not #121) +#125 := (and #122 #115) +#111 := (not #110) +#118 := (and #111 #115) +#128 := (or #118 #125) +#131 := (if #128 #30 #95) +#134 := (if #23 0::Int #131) +#137 := (= #19 #134) +#140 := (forall (vars (?v0 Int) (?v1 Int)) #137) +#223 := (iff #140 #222) +#220 := (iff #137 #219) +#217 := (= #134 #216) +#214 := (= #131 #213) +#211 := (iff #128 #210) +#208 := (iff #125 #207) +#209 := [rewrite]: #208 +#198 := (iff #118 #205) +#199 := [rewrite]: #198 +#212 := [monotonicity #199 #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [monotonicity #218]: #220 +#224 := [quant-intro #221]: #223 +#202 := (~ #140 #140) +#200 := (~ #137 #137) +#201 := [refl]: #200 +#203 := [nnf-pos #201]: #202 #32 := (- #18) #31 := (- #16) #33 := (div #31 #32) @@ -31975,50 +29811,58 @@ #35 := (if #23 0::Int #34) #36 := (= #19 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#120 := (iff #37 #119) -#117 := (iff #36 #116) -#114 := (= #35 #113) -#111 := (= #34 #110) -#108 := (= #33 #107) -#105 := (= #32 #104) -#106 := [rewrite]: #105 -#102 := (= #31 #101) -#103 := [rewrite]: #102 -#109 := [monotonicity #103 #106]: #108 -#99 := (iff #29 #98) -#96 := (iff #28 #95) -#81 := (iff #25 #80) -#82 := [rewrite]: #81 -#88 := (iff #27 #87) -#92 := (iff #87 #87) -#90 := (iff #86 #86) +#143 := (iff #37 #140) +#98 := (if #29 #30 #95) +#101 := (if #23 0::Int #98) +#104 := (= #19 #101) +#107 := (forall (vars (?v0 Int) (?v1 Int)) #104) +#141 := (iff #107 #140) +#138 := (iff #104 #137) +#135 := (= #101 #134) +#132 := (= #98 #131) +#129 := (iff #29 #128) +#126 := (iff #28 #125) +#116 := (iff #25 #115) +#117 := [rewrite]: #116 +#123 := (iff #27 #122) +#124 := [rewrite]: #123 +#127 := [monotonicity #124 #117]: #126 +#119 := (iff #26 #118) +#112 := (iff #24 #111) +#113 := [rewrite]: #112 +#120 := [monotonicity #113 #117]: #119 +#130 := [monotonicity #120 #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [monotonicity #136]: #138 +#142 := [quant-intro #139]: #141 +#108 := (iff #37 #107) +#105 := (iff #36 #104) +#102 := (= #35 #101) +#99 := (= #34 #98) +#96 := (= #33 #95) +#93 := (= #32 #92) +#94 := [rewrite]: #93 +#90 := (= #31 #88) #91 := [rewrite]: #90 -#93 := [monotonicity #91]: #92 -#89 := [rewrite]: #88 -#94 := [trans #89 #93]: #88 -#97 := [monotonicity #94 #82]: #96 -#84 := (iff #26 #83) -#77 := (iff #24 #76) -#78 := [rewrite]: #77 -#85 := [monotonicity #78 #82]: #84 -#100 := [monotonicity #85 #97]: #99 -#112 := [monotonicity #100 #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [quant-intro #118]: #120 -#51 := [asserted]: #37 -#122 := [mp #51 #121]: #119 -#194 := [mp #122 #193]: #191 -#168 := [mp~ #194 #216]: #191 -#242 := [mp #168 #241]: #239 -#273 := [mp #242 #272]: #270 -#709 := [mp #273 #708]: #704 +#97 := [monotonicity #91 #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [monotonicity #103]: #105 +#109 := [quant-intro #106]: #108 +#144 := [trans #109 #142]: #143 +#87 := [asserted]: #37 +#145 := [mp #87 #144]: #140 +#194 := [mp~ #145 #203]: #140 +#225 := [mp #194 #224]: #222 +#256 := [mp #225 #255]: #253 +#752 := [mp #256 #751]: #747 #8 := 3::Int -#56 := -3::Int -#59 := (f4 f5 -3::Int) -#62 := (f3 #59 3::Int) -#68 := (= #62 -1::Int) -#71 := (not #68) +#69 := -3::Int +#72 := (f4 f5 -3::Int) +#75 := (f3 #72 3::Int) +#81 := (= #75 -1::Int) +#84 := (not #81) #12 := 1::Int #13 := (- 1::Int) #9 := (- 3::Int) @@ -32026,168 +29870,168 @@ #11 := (f3 #10 3::Int) #14 := (= #11 #13) #15 := (not #14) -#72 := (iff #15 #71) -#69 := (iff #14 #68) -#66 := (= #13 -1::Int) -#67 := [rewrite]: #66 -#63 := (= #11 #62) -#60 := (= #10 #59) -#57 := (= #9 -3::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#64 := [monotonicity #61]: #63 -#70 := [monotonicity #64 #67]: #69 -#73 := [monotonicity #70]: #72 -#50 := [asserted]: #15 -#74 := [mp #50 #73]: #71 -#618 := (not #704) -#628 := (or #618 #68) -#366 := (* -1::Int 3::Int) -#365 := (* -1::Int -3::Int) -#698 := (div #365 #366) -#699 := (* -1::Int #698) -#700 := (+ #62 #699) -#701 := (= #700 0::Int) -#697 := (div -3::Int 3::Int) -#354 := (* -1::Int #697) -#484 := (+ #62 #354) -#691 := (= #484 0::Int) -#378 := (<= 3::Int 0::Int) -#377 := (>= -3::Int 0::Int) -#381 := (or #377 #378) -#360 := (not #381) -#367 := (<= -3::Int 0::Int) -#379 := (or #367 #378) -#380 := (not #379) -#695 := (or #380 #360) -#696 := (if #695 #691 #701) -#376 := (= #62 0::Int) -#374 := (= 3::Int 0::Int) -#290 := (= -3::Int 0::Int) -#375 := (or #290 #374) -#702 := (if #375 #376 #696) -#629 := (or #618 #702) -#626 := (iff #629 #628) -#620 := (iff #628 #628) -#621 := [rewrite]: #620 -#619 := (iff #702 #68) -#637 := (if false #376 #68) -#625 := (iff #637 #68) -#627 := [rewrite]: #625 -#634 := (iff #702 #637) -#543 := (iff #696 #68) -#1 := true -#539 := (if true #68 #68) -#541 := (iff #539 #68) -#542 := [rewrite]: #541 -#532 := (iff #696 #539) -#536 := (iff #701 #68) -#663 := (+ 1::Int #62) -#649 := (= #663 0::Int) -#645 := (iff #649 #68) -#646 := [rewrite]: #645 -#636 := (iff #701 #649) -#632 := (= #700 #663) -#661 := (+ #62 1::Int) -#504 := (= #661 #663) -#505 := [rewrite]: #504 -#635 := (= #700 #661) -#528 := (= #699 1::Int) -#665 := (* -1::Int -1::Int) -#659 := (= #665 1::Int) -#660 := [rewrite]: #659 -#526 := (= #699 #665) -#641 := (= #698 -1::Int) -#486 := (div 3::Int -3::Int) -#642 := (= #486 -1::Int) -#643 := [rewrite]: #642 -#639 := (= #698 #486) -#483 := (= #366 -3::Int) -#485 := [rewrite]: #483 -#647 := (= #365 3::Int) -#654 := [rewrite]: #647 -#640 := [monotonicity #654 #485]: #639 -#644 := [trans #640 #643]: #641 -#527 := [monotonicity #644]: #526 -#487 := [trans #527 #660]: #528 -#537 := [monotonicity #487]: #635 -#633 := [trans #537 #505]: #632 -#521 := [monotonicity #633]: #636 -#538 := [trans #521 #646]: #536 -#652 := (iff #691 #68) -#650 := (iff #691 #649) -#506 := (= #484 #663) -#662 := (= #484 #661) -#655 := (= #354 1::Int) -#669 := (= #354 #665) -#664 := (= #697 -1::Int) -#668 := [rewrite]: #664 -#658 := [monotonicity #668]: #669 -#656 := [trans #658 #660]: #655 -#657 := [monotonicity #656]: #662 -#648 := [trans #657 #505]: #506 -#651 := [monotonicity #648]: #650 -#653 := [trans #651 #646]: #652 -#667 := (iff #695 true) -#385 := (or false true) -#388 := (iff #385 true) -#666 := [rewrite]: #388 -#386 := (iff #695 #385) -#671 := (iff #360 true) -#673 := (not false) -#670 := (iff #673 true) -#674 := [rewrite]: #670 -#395 := (iff #360 #673) -#296 := (iff #381 false) -#353 := (or false false) -#678 := (iff #353 false) -#341 := [rewrite]: #678 -#401 := (iff #381 #353) -#681 := (iff #378 false) -#682 := [rewrite]: #681 -#399 := (iff #377 false) -#400 := [rewrite]: #399 -#402 := [monotonicity #400 #682]: #401 -#672 := [trans #402 #341]: #296 -#396 := [monotonicity #672]: #395 -#675 := [trans #396 #674]: #671 -#676 := (iff #380 false) -#328 := (not true) -#687 := (iff #328 false) -#690 := [rewrite]: #687 -#329 := (iff #380 #328) -#686 := (iff #379 true) -#683 := (or true false) -#685 := (iff #683 true) -#323 := [rewrite]: #685 -#684 := (iff #379 #683) -#344 := (iff #367 true) -#680 := [rewrite]: #344 -#679 := [monotonicity #680 #682]: #684 -#688 := [trans #679 #323]: #686 -#689 := [monotonicity #688]: #329 -#677 := [trans #689 #690]: #676 -#387 := [monotonicity #677 #675]: #386 -#382 := [trans #387 #666]: #667 -#540 := [monotonicity #382 #653 #538]: #532 -#544 := [trans #540 #542]: #543 -#342 := (iff #375 false) -#694 := (iff #375 #353) -#357 := (iff #374 false) -#693 := [rewrite]: #357 -#692 := (iff #290 false) -#352 := [rewrite]: #692 -#337 := [monotonicity #352 #693]: #694 -#343 := [trans #337 #341]: #342 -#638 := [monotonicity #343 #544]: #634 -#616 := [trans #638 #627]: #619 -#631 := [monotonicity #616]: #626 -#622 := [trans #631 #621]: #626 -#630 := [quant-inst #56 #8]: #629 -#623 := [mp #630 #622]: #628 -[unit-resolution #623 #74 #709]: false -ce73a3cbcbb282ad675c6218053260f8ce5ee783 342 0 -unsat +#85 := (iff #15 #84) +#82 := (iff #14 #81) +#79 := (= #13 -1::Int) +#80 := [rewrite]: #79 +#76 := (= #11 #75) +#73 := (= #10 #72) +#70 := (= #9 -3::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#77 := [monotonicity #74]: #76 +#83 := [monotonicity #77 #80]: #82 +#86 := [monotonicity #83]: #85 +#68 := [asserted]: #15 +#89 := [mp #68 #86]: #84 +#661 := (not #747) +#671 := (or #661 #81) +#409 := (* -1::Int 3::Int) +#408 := (* -1::Int -3::Int) +#741 := (div #408 #409) +#742 := (* -1::Int #741) +#743 := (+ #75 #742) +#744 := (= #743 0::Int) +#740 := (div -3::Int 3::Int) +#397 := (* -1::Int #740) +#527 := (+ #75 #397) +#734 := (= #527 0::Int) +#421 := (<= 3::Int 0::Int) +#420 := (>= -3::Int 0::Int) +#424 := (or #420 #421) +#403 := (not #424) +#410 := (<= -3::Int 0::Int) +#422 := (or #410 #421) +#423 := (not #422) +#738 := (or #423 #403) +#739 := (if #738 #734 #744) +#419 := (= #75 0::Int) +#417 := (= 3::Int 0::Int) +#333 := (= -3::Int 0::Int) +#418 := (or #333 #417) +#745 := (if #418 #419 #739) +#672 := (or #661 #745) +#669 := (iff #672 #671) +#663 := (iff #671 #671) +#664 := [rewrite]: #663 +#662 := (iff #745 #81) +#680 := (if false #419 #81) +#668 := (iff #680 #81) +#670 := [rewrite]: #668 +#677 := (iff #745 #680) +#586 := (iff #739 #81) +#1 := true +#582 := (if true #81 #81) +#584 := (iff #582 #81) +#585 := [rewrite]: #584 +#575 := (iff #739 #582) +#579 := (iff #744 #81) +#706 := (+ 1::Int #75) +#692 := (= #706 0::Int) +#688 := (iff #692 #81) +#689 := [rewrite]: #688 +#679 := (iff #744 #692) +#675 := (= #743 #706) +#704 := (+ #75 1::Int) +#547 := (= #704 #706) +#548 := [rewrite]: #547 +#678 := (= #743 #704) +#571 := (= #742 1::Int) +#708 := (* -1::Int -1::Int) +#702 := (= #708 1::Int) +#703 := [rewrite]: #702 +#569 := (= #742 #708) +#684 := (= #741 -1::Int) +#529 := (div 3::Int -3::Int) +#685 := (= #529 -1::Int) +#686 := [rewrite]: #685 +#682 := (= #741 #529) +#526 := (= #409 -3::Int) +#528 := [rewrite]: #526 +#690 := (= #408 3::Int) +#697 := [rewrite]: #690 +#683 := [monotonicity #697 #528]: #682 +#687 := [trans #683 #686]: #684 +#570 := [monotonicity #687]: #569 +#530 := [trans #570 #703]: #571 +#580 := [monotonicity #530]: #678 +#676 := [trans #580 #548]: #675 +#564 := [monotonicity #676]: #679 +#581 := [trans #564 #689]: #579 +#695 := (iff #734 #81) +#693 := (iff #734 #692) +#549 := (= #527 #706) +#705 := (= #527 #704) +#698 := (= #397 1::Int) +#712 := (= #397 #708) +#707 := (= #740 -1::Int) +#711 := [rewrite]: #707 +#701 := [monotonicity #711]: #712 +#699 := [trans #701 #703]: #698 +#700 := [monotonicity #699]: #705 +#691 := [trans #700 #548]: #549 +#694 := [monotonicity #691]: #693 +#696 := [trans #694 #689]: #695 +#710 := (iff #738 true) +#428 := (or false true) +#431 := (iff #428 true) +#709 := [rewrite]: #431 +#429 := (iff #738 #428) +#714 := (iff #403 true) +#716 := (not false) +#713 := (iff #716 true) +#717 := [rewrite]: #713 +#438 := (iff #403 #716) +#339 := (iff #424 false) +#396 := (or false false) +#721 := (iff #396 false) +#384 := [rewrite]: #721 +#444 := (iff #424 #396) +#724 := (iff #421 false) +#725 := [rewrite]: #724 +#442 := (iff #420 false) +#443 := [rewrite]: #442 +#445 := [monotonicity #443 #725]: #444 +#715 := [trans #445 #384]: #339 +#439 := [monotonicity #715]: #438 +#718 := [trans #439 #717]: #714 +#719 := (iff #423 false) +#371 := (not true) +#730 := (iff #371 false) +#733 := [rewrite]: #730 +#372 := (iff #423 #371) +#729 := (iff #422 true) +#726 := (or true false) +#728 := (iff #726 true) +#366 := [rewrite]: #728 +#727 := (iff #422 #726) +#387 := (iff #410 true) +#723 := [rewrite]: #387 +#722 := [monotonicity #723 #725]: #727 +#731 := [trans #722 #366]: #729 +#732 := [monotonicity #731]: #372 +#720 := [trans #732 #733]: #719 +#430 := [monotonicity #720 #718]: #429 +#425 := [trans #430 #709]: #710 +#583 := [monotonicity #425 #696 #581]: #575 +#587 := [trans #583 #585]: #586 +#385 := (iff #418 false) +#737 := (iff #418 #396) +#400 := (iff #417 false) +#736 := [rewrite]: #400 +#735 := (iff #333 false) +#395 := [rewrite]: #735 +#380 := [monotonicity #395 #736]: #737 +#386 := [trans #380 #384]: #385 +#681 := [monotonicity #386 #587]: #677 +#659 := [trans #681 #670]: #662 +#674 := [monotonicity #659]: #669 +#665 := [trans #674 #664]: #669 +#673 := [quant-inst #69 #8]: #672 +#666 := [mp #673 #665]: #671 +[unit-resolution #666 #89 #752]: false +unsat +7926b7bb56c2a95b0f37b98542d8e6b331cd48e9 326 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -32197,99 +30041,75 @@ #7 := f5 #18 := (f4 f5 #17) #20 := (f3 #18 #19) -#706 := (pattern #20) +#747 := (pattern #20) #21 := 0::Int -#102 := -1::Int -#106 := (* -1::Int #19) -#103 := (* -1::Int #17) -#109 := (div #103 #106) -#265 := (* -1::Int #109) -#266 := (+ #20 #265) -#267 := (= #266 0::Int) +#89 := -1::Int +#94 := (* -1::Int #19) +#91 := (* -1::Int #17) +#97 := (div #91 #94) +#248 := (* -1::Int #97) +#249 := (+ #20 #248) +#250 := (= #249 0::Int) #31 := (div #17 #19) -#262 := (* -1::Int #31) -#263 := (+ #20 #262) -#264 := (= #263 0::Int) -#80 := (<= #19 0::Int) -#172 := (>= #17 0::Int) -#225 := (or #172 #80) -#226 := (not #225) -#76 := (<= #17 0::Int) -#221 := (or #76 #80) -#222 := (not #221) -#229 := (or #222 #226) -#268 := (if #229 #264 #267) -#261 := (= #20 0::Int) +#245 := (* -1::Int #31) +#246 := (+ #20 #245) +#247 := (= #246 0::Int) +#116 := (<= #19 0::Int) +#123 := (>= #17 0::Int) +#208 := (or #123 #116) +#209 := (not #208) +#112 := (<= #17 0::Int) +#206 := (or #112 #116) +#207 := (not #206) +#212 := (or #207 #209) +#251 := (if #212 #247 #250) +#244 := (= #20 0::Int) #23 := (= #19 0::Int) #22 := (= #17 0::Int) #24 := (or #22 #23) -#269 := (if #24 #261 #268) -#707 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #706) #269) -#272 := (forall (vars (?v0 Int) (?v1 Int)) #269) -#710 := (iff #272 #707) -#708 := (iff #269 #269) -#709 := [refl]: #708 -#711 := [quant-intro #709]: #710 -#232 := (if #229 #31 #109) -#235 := (if #24 0::Int #232) -#238 := (= #20 #235) -#241 := (forall (vars (?v0 Int) (?v1 Int)) #238) -#273 := (iff #241 #272) -#270 := (iff #238 #269) -#271 := [rewrite]: #270 -#274 := [quant-intro #271]: #273 -#81 := (not #80) -#175 := (not #172) -#178 := (and #175 #81) -#77 := (not #76) -#84 := (and #77 #81) -#181 := (or #84 #178) -#184 := (if #181 #31 #109) -#187 := (if #24 0::Int #184) -#190 := (= #20 #187) -#193 := (forall (vars (?v0 Int) (?v1 Int)) #190) -#242 := (iff #193 #241) -#239 := (iff #190 #238) -#236 := (= #187 #235) -#233 := (= #184 #232) -#230 := (iff #181 #229) -#227 := (iff #178 #226) -#228 := [rewrite]: #227 -#223 := (iff #84 #222) -#224 := [rewrite]: #223 -#231 := [monotonicity #224 #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [monotonicity #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [quant-intro #240]: #242 -#213 := (~ #193 #193) -#215 := (~ #190 #190) -#216 := [refl]: #215 -#214 := [nnf-pos #216]: #213 -#87 := (<= 0::Int #17) -#88 := (not #87) -#96 := (and #88 #81) -#99 := (or #84 #96) -#112 := (if #99 #31 #109) -#115 := (if #24 0::Int #112) -#118 := (= #20 #115) -#121 := (forall (vars (?v0 Int) (?v1 Int)) #118) -#194 := (iff #121 #193) -#191 := (iff #118 #190) -#188 := (= #115 #187) -#185 := (= #112 #184) -#182 := (iff #99 #181) -#179 := (iff #96 #178) -#176 := (iff #88 #175) -#173 := (iff #87 #172) -#174 := [rewrite]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [monotonicity #186]: #188 -#192 := [monotonicity #189]: #191 -#195 := [quant-intro #192]: #194 +#252 := (if #24 #244 #251) +#748 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #747) #252) +#255 := (forall (vars (?v0 Int) (?v1 Int)) #252) +#751 := (iff #255 #748) +#749 := (iff #252 #252) +#750 := [refl]: #749 +#752 := [quant-intro #750]: #751 +#215 := (if #212 #31 #97) +#218 := (if #24 0::Int #215) +#221 := (= #20 #218) +#224 := (forall (vars (?v0 Int) (?v1 Int)) #221) +#256 := (iff #224 #255) +#253 := (iff #221 #252) +#254 := [rewrite]: #253 +#257 := [quant-intro #254]: #256 +#117 := (not #116) +#124 := (not #123) +#127 := (and #124 #117) +#113 := (not #112) +#120 := (and #113 #117) +#130 := (or #120 #127) +#133 := (if #130 #31 #97) +#136 := (if #24 0::Int #133) +#139 := (= #20 #136) +#142 := (forall (vars (?v0 Int) (?v1 Int)) #139) +#225 := (iff #142 #224) +#222 := (iff #139 #221) +#219 := (= #136 #218) +#216 := (= #133 #215) +#213 := (iff #130 #212) +#210 := (iff #127 #209) +#211 := [rewrite]: #210 +#200 := (iff #120 #207) +#201 := [rewrite]: #200 +#214 := [monotonicity #201 #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [monotonicity #217]: #219 +#223 := [monotonicity #220]: #222 +#226 := [quant-intro #223]: #225 +#204 := (~ #142 #142) +#202 := (~ #139 #139) +#203 := [refl]: #202 +#205 := [nnf-pos #203]: #204 #33 := (- #19) #32 := (- #17) #34 := (div #32 #33) @@ -32303,51 +30123,59 @@ #36 := (if #24 0::Int #35) #37 := (= #20 #36) #38 := (forall (vars (?v0 Int) (?v1 Int)) #37) -#122 := (iff #38 #121) -#119 := (iff #37 #118) -#116 := (= #36 #115) -#113 := (= #35 #112) -#110 := (= #34 #109) -#107 := (= #33 #106) -#108 := [rewrite]: #107 -#104 := (= #32 #103) -#105 := [rewrite]: #104 -#111 := [monotonicity #105 #108]: #110 -#100 := (iff #30 #99) -#97 := (iff #29 #96) -#82 := (iff #26 #81) -#83 := [rewrite]: #82 -#89 := (iff #28 #88) -#93 := (iff #88 #88) -#91 := (iff #87 #87) -#92 := [rewrite]: #91 -#94 := [monotonicity #92]: #93 -#90 := [rewrite]: #89 -#95 := [trans #90 #94]: #89 -#98 := [monotonicity #95 #83]: #97 -#85 := (iff #27 #84) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#86 := [monotonicity #79 #83]: #85 -#101 := [monotonicity #86 #98]: #100 -#114 := [monotonicity #101 #111]: #113 -#117 := [monotonicity #114]: #116 -#120 := [monotonicity #117]: #119 -#123 := [quant-intro #120]: #122 -#52 := [asserted]: #38 -#124 := [mp #52 #123]: #121 -#196 := [mp #124 #195]: #193 -#170 := [mp~ #196 #214]: #193 -#244 := [mp #170 #243]: #241 -#275 := [mp #244 #274]: #272 -#712 := [mp #275 #711]: #707 -#66 := -2::Int +#145 := (iff #38 #142) +#100 := (if #30 #31 #97) +#103 := (if #24 0::Int #100) +#106 := (= #20 #103) +#109 := (forall (vars (?v0 Int) (?v1 Int)) #106) +#143 := (iff #109 #142) +#140 := (iff #106 #139) +#137 := (= #103 #136) +#134 := (= #100 #133) +#131 := (iff #30 #130) +#128 := (iff #29 #127) +#118 := (iff #26 #117) +#119 := [rewrite]: #118 +#125 := (iff #28 #124) +#126 := [rewrite]: #125 +#129 := [monotonicity #126 #119]: #128 +#121 := (iff #27 #120) +#114 := (iff #25 #113) +#115 := [rewrite]: #114 +#122 := [monotonicity #115 #119]: #121 +#132 := [monotonicity #122 #129]: #131 +#135 := [monotonicity #132]: #134 +#138 := [monotonicity #135]: #137 +#141 := [monotonicity #138]: #140 +#144 := [quant-intro #141]: #143 +#110 := (iff #38 #109) +#107 := (iff #37 #106) +#104 := (= #36 #103) +#101 := (= #35 #100) +#98 := (= #34 #97) +#95 := (= #33 #94) +#96 := [rewrite]: #95 +#92 := (= #32 #91) +#93 := [rewrite]: #92 +#99 := [monotonicity #93 #96]: #98 +#102 := [monotonicity #99]: #101 +#105 := [monotonicity #102]: #104 +#108 := [monotonicity #105]: #107 +#111 := [quant-intro #108]: #110 +#146 := [trans #111 #144]: #145 +#88 := [asserted]: #38 +#147 := [mp #88 #146]: #142 +#196 := [mp~ #147 #205]: #142 +#227 := [mp #196 #226]: #224 +#258 := [mp #227 #257]: #255 +#753 := [mp #258 #752]: #748 +#79 := -2::Int #11 := 3::Int -#57 := -5::Int -#60 := (f4 f5 -5::Int) -#63 := (f3 #60 3::Int) -#69 := (= #63 -2::Int) -#72 := (not #69) +#70 := -5::Int +#73 := (f4 f5 -5::Int) +#76 := (f3 #73 3::Int) +#82 := (= #76 -2::Int) +#85 := (not #82) #13 := 2::Int #14 := (- 2::Int) #8 := 5::Int @@ -32356,181 +30184,181 @@ #12 := (f3 #10 3::Int) #15 := (= #12 #14) #16 := (not #15) -#73 := (iff #16 #72) -#70 := (iff #15 #69) -#67 := (= #14 -2::Int) -#68 := [rewrite]: #67 -#64 := (= #12 #63) -#61 := (= #10 #60) -#58 := (= #9 -5::Int) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#71 := [monotonicity #65 #68]: #70 -#74 := [monotonicity #71]: #73 -#51 := [asserted]: #16 -#75 := [mp #51 #74]: #72 -#611 := (not #707) -#612 := (or #611 #69) -#369 := (* -1::Int 3::Int) -#368 := (* -1::Int -5::Int) -#701 := (div #368 #369) -#702 := (* -1::Int #701) -#703 := (+ #63 #702) -#704 := (= #703 0::Int) -#700 := (div -5::Int 3::Int) -#357 := (* -1::Int #700) -#487 := (+ #63 #357) -#694 := (= #487 0::Int) -#381 := (<= 3::Int 0::Int) -#380 := (>= -5::Int 0::Int) -#384 := (or #380 #381) -#363 := (not #384) -#370 := (<= -5::Int 0::Int) -#382 := (or #370 #381) -#383 := (not #382) -#698 := (or #383 #363) -#699 := (if #698 #694 #704) -#379 := (= #63 0::Int) -#377 := (= 3::Int 0::Int) -#292 := (= -5::Int 0::Int) -#378 := (or #292 #377) -#705 := (if #378 #379 #699) -#614 := (or #611 #705) -#616 := (iff #614 #612) -#613 := (iff #612 #612) -#618 := [rewrite]: #613 -#620 := (iff #705 #69) -#634 := (if false #379 #69) -#625 := (iff #634 #69) -#626 := [rewrite]: #625 -#623 := (iff #705 #634) -#633 := (iff #699 #69) -#640 := (= #63 -1::Int) -#1 := true -#622 := (if true #69 #640) -#631 := (iff #622 #69) -#632 := [rewrite]: #631 -#619 := (iff #699 #622) -#628 := (iff #704 #640) -#310 := 1::Int -#541 := (+ 1::Int #63) -#545 := (= #541 0::Int) -#637 := (iff #545 #640) -#641 := [rewrite]: #637 -#546 := (iff #704 #545) -#543 := (= #703 #541) -#639 := (+ #63 1::Int) -#542 := (= #639 #541) -#535 := [rewrite]: #542 -#524 := (= #703 #639) -#635 := (= #702 1::Int) -#530 := (* -1::Int -1::Int) -#638 := (= #530 1::Int) -#540 := [rewrite]: #638 -#531 := (= #702 #530) -#647 := (= #701 -1::Int) -#486 := -3::Int -#642 := (div 5::Int -3::Int) -#646 := (= #642 -1::Int) -#644 := [rewrite]: #646 -#643 := (= #701 #642) -#488 := (= #369 -3::Int) -#489 := [rewrite]: #488 -#650 := (= #368 5::Int) -#657 := [rewrite]: #650 -#645 := [monotonicity #657 #489]: #643 -#529 := [trans #645 #644]: #647 -#490 := [monotonicity #529]: #531 -#636 := [trans #490 #540]: #635 -#539 := [monotonicity #636]: #524 -#544 := [trans #539 #535]: #543 -#547 := [monotonicity #544]: #546 -#630 := [trans #547 #641]: #628 -#655 := (iff #694 #69) -#666 := (+ 2::Int #63) -#652 := (= #666 0::Int) -#648 := (iff #652 #69) -#649 := [rewrite]: #648 -#653 := (iff #694 #652) -#509 := (= #487 #666) -#664 := (+ #63 2::Int) -#507 := (= #664 #666) -#508 := [rewrite]: #507 -#665 := (= #487 #664) -#658 := (= #357 2::Int) -#668 := (* -1::Int -2::Int) -#662 := (= #668 2::Int) -#663 := [rewrite]: #662 -#672 := (= #357 #668) -#667 := (= #700 -2::Int) -#671 := [rewrite]: #667 -#661 := [monotonicity #671]: #672 -#659 := [trans #661 #663]: #658 -#660 := [monotonicity #659]: #665 -#651 := [trans #660 #508]: #509 -#654 := [monotonicity #651]: #653 -#656 := [trans #654 #649]: #655 -#670 := (iff #698 true) -#388 := (or false true) -#391 := (iff #388 true) -#669 := [rewrite]: #391 -#389 := (iff #698 #388) -#674 := (iff #363 true) -#676 := (not false) -#673 := (iff #676 true) -#677 := [rewrite]: #673 -#398 := (iff #363 #676) -#298 := (iff #384 false) -#356 := (or false false) -#681 := (iff #356 false) -#344 := [rewrite]: #681 -#404 := (iff #384 #356) -#684 := (iff #381 false) -#685 := [rewrite]: #684 -#402 := (iff #380 false) -#403 := [rewrite]: #402 -#405 := [monotonicity #403 #685]: #404 -#675 := [trans #405 #344]: #298 -#399 := [monotonicity #675]: #398 -#678 := [trans #399 #677]: #674 -#679 := (iff #383 false) -#331 := (not true) -#690 := (iff #331 false) -#693 := [rewrite]: #690 -#332 := (iff #383 #331) -#689 := (iff #382 true) -#686 := (or true false) -#688 := (iff #686 true) -#326 := [rewrite]: #688 -#687 := (iff #382 #686) -#347 := (iff #370 true) -#683 := [rewrite]: #347 -#682 := [monotonicity #683 #685]: #687 -#691 := [trans #682 #326]: #689 -#692 := [monotonicity #691]: #332 -#680 := [trans #692 #693]: #679 -#390 := [monotonicity #680 #678]: #389 -#385 := [trans #390 #669]: #670 -#621 := [monotonicity #385 #656 #630]: #619 -#629 := [trans #621 #632]: #633 -#345 := (iff #378 false) -#697 := (iff #378 #356) -#360 := (iff #377 false) -#696 := [rewrite]: #360 -#695 := (iff #292 false) -#355 := [rewrite]: #695 -#340 := [monotonicity #355 #696]: #697 -#346 := [trans #340 #344]: #345 -#624 := [monotonicity #346 #629]: #623 -#627 := [trans #624 #626]: #620 -#617 := [monotonicity #627]: #616 -#604 := [trans #617 #618]: #616 -#615 := [quant-inst #57 #11]: #614 -#605 := [mp #615 #604]: #612 -[unit-resolution #605 #75 #712]: false -b9e2cb2587eedfa83c2fb391ad520d91b8574998 328 0 -unsat +#86 := (iff #16 #85) +#83 := (iff #15 #82) +#80 := (= #14 -2::Int) +#81 := [rewrite]: #80 +#77 := (= #12 #76) +#74 := (= #10 #73) +#71 := (= #9 -5::Int) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#84 := [monotonicity #78 #81]: #83 +#87 := [monotonicity #84]: #86 +#69 := [asserted]: #16 +#90 := [mp #69 #87]: #85 +#652 := (not #748) +#653 := (or #652 #82) +#410 := (* -1::Int 3::Int) +#409 := (* -1::Int -5::Int) +#742 := (div #409 #410) +#743 := (* -1::Int #742) +#744 := (+ #76 #743) +#745 := (= #744 0::Int) +#741 := (div -5::Int 3::Int) +#398 := (* -1::Int #741) +#528 := (+ #76 #398) +#735 := (= #528 0::Int) +#422 := (<= 3::Int 0::Int) +#421 := (>= -5::Int 0::Int) +#425 := (or #421 #422) +#404 := (not #425) +#411 := (<= -5::Int 0::Int) +#423 := (or #411 #422) +#424 := (not #423) +#739 := (or #424 #404) +#740 := (if #739 #735 #745) +#420 := (= #76 0::Int) +#418 := (= 3::Int 0::Int) +#334 := (= -5::Int 0::Int) +#419 := (or #334 #418) +#746 := (if #419 #420 #740) +#655 := (or #652 #746) +#657 := (iff #655 #653) +#654 := (iff #653 #653) +#659 := [rewrite]: #654 +#661 := (iff #746 #82) +#675 := (if false #420 #82) +#666 := (iff #675 #82) +#667 := [rewrite]: #666 +#664 := (iff #746 #675) +#674 := (iff #740 #82) +#681 := (= #76 -1::Int) +#1 := true +#663 := (if true #82 #681) +#672 := (iff #663 #82) +#673 := [rewrite]: #672 +#660 := (iff #740 #663) +#669 := (iff #745 #681) +#287 := 1::Int +#582 := (+ 1::Int #76) +#586 := (= #582 0::Int) +#678 := (iff #586 #681) +#682 := [rewrite]: #678 +#587 := (iff #745 #586) +#584 := (= #744 #582) +#680 := (+ #76 1::Int) +#583 := (= #680 #582) +#576 := [rewrite]: #583 +#565 := (= #744 #680) +#676 := (= #743 1::Int) +#571 := (* -1::Int -1::Int) +#679 := (= #571 1::Int) +#581 := [rewrite]: #679 +#572 := (= #743 #571) +#688 := (= #742 -1::Int) +#527 := -3::Int +#683 := (div 5::Int -3::Int) +#687 := (= #683 -1::Int) +#685 := [rewrite]: #687 +#684 := (= #742 #683) +#529 := (= #410 -3::Int) +#530 := [rewrite]: #529 +#691 := (= #409 5::Int) +#698 := [rewrite]: #691 +#686 := [monotonicity #698 #530]: #684 +#570 := [trans #686 #685]: #688 +#531 := [monotonicity #570]: #572 +#677 := [trans #531 #581]: #676 +#580 := [monotonicity #677]: #565 +#585 := [trans #580 #576]: #584 +#588 := [monotonicity #585]: #587 +#671 := [trans #588 #682]: #669 +#696 := (iff #735 #82) +#707 := (+ 2::Int #76) +#693 := (= #707 0::Int) +#689 := (iff #693 #82) +#690 := [rewrite]: #689 +#694 := (iff #735 #693) +#550 := (= #528 #707) +#705 := (+ #76 2::Int) +#548 := (= #705 #707) +#549 := [rewrite]: #548 +#706 := (= #528 #705) +#699 := (= #398 2::Int) +#709 := (* -1::Int -2::Int) +#703 := (= #709 2::Int) +#704 := [rewrite]: #703 +#713 := (= #398 #709) +#708 := (= #741 -2::Int) +#712 := [rewrite]: #708 +#702 := [monotonicity #712]: #713 +#700 := [trans #702 #704]: #699 +#701 := [monotonicity #700]: #706 +#692 := [trans #701 #549]: #550 +#695 := [monotonicity #692]: #694 +#697 := [trans #695 #690]: #696 +#711 := (iff #739 true) +#429 := (or false true) +#432 := (iff #429 true) +#710 := [rewrite]: #432 +#430 := (iff #739 #429) +#715 := (iff #404 true) +#717 := (not false) +#714 := (iff #717 true) +#718 := [rewrite]: #714 +#439 := (iff #404 #717) +#340 := (iff #425 false) +#397 := (or false false) +#722 := (iff #397 false) +#385 := [rewrite]: #722 +#445 := (iff #425 #397) +#725 := (iff #422 false) +#726 := [rewrite]: #725 +#443 := (iff #421 false) +#444 := [rewrite]: #443 +#446 := [monotonicity #444 #726]: #445 +#716 := [trans #446 #385]: #340 +#440 := [monotonicity #716]: #439 +#719 := [trans #440 #718]: #715 +#720 := (iff #424 false) +#372 := (not true) +#731 := (iff #372 false) +#734 := [rewrite]: #731 +#373 := (iff #424 #372) +#730 := (iff #423 true) +#727 := (or true false) +#729 := (iff #727 true) +#367 := [rewrite]: #729 +#728 := (iff #423 #727) +#388 := (iff #411 true) +#724 := [rewrite]: #388 +#723 := [monotonicity #724 #726]: #728 +#732 := [trans #723 #367]: #730 +#733 := [monotonicity #732]: #373 +#721 := [trans #733 #734]: #720 +#431 := [monotonicity #721 #719]: #430 +#426 := [trans #431 #710]: #711 +#662 := [monotonicity #426 #697 #671]: #660 +#670 := [trans #662 #673]: #674 +#386 := (iff #419 false) +#738 := (iff #419 #397) +#401 := (iff #418 false) +#737 := [rewrite]: #401 +#736 := (iff #334 false) +#396 := [rewrite]: #736 +#381 := [monotonicity #396 #737]: #738 +#387 := [trans #381 #385]: #386 +#665 := [monotonicity #387 #670]: #664 +#668 := [trans #665 #667]: #661 +#658 := [monotonicity #668]: #657 +#645 := [trans #658 #659]: #657 +#656 := [quant-inst #70 #11]: #655 +#646 := [mp #656 #645]: #653 +[unit-resolution #646 #90 #753]: false +unsat +8fedb44b144cd0bde283f4741a534807a56eb96d 312 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -32540,99 +30368,75 @@ #7 := f5 #18 := (f4 f5 #17) #20 := (f3 #18 #19) -#703 := (pattern #20) +#746 := (pattern #20) #14 := 0::Int -#56 := -1::Int -#104 := (* -1::Int #19) -#101 := (* -1::Int #17) -#107 := (div #101 #104) -#263 := (* -1::Int #107) -#264 := (+ #20 #263) -#265 := (= #264 0::Int) +#69 := -1::Int +#92 := (* -1::Int #19) +#88 := (* -1::Int #17) +#95 := (div #88 #92) +#246 := (* -1::Int #95) +#247 := (+ #20 #246) +#248 := (= #247 0::Int) #30 := (div #17 #19) -#260 := (* -1::Int #30) -#261 := (+ #20 #260) -#262 := (= #261 0::Int) -#79 := (<= #19 0::Int) -#170 := (>= #17 0::Int) -#223 := (or #170 #79) -#224 := (not #223) -#75 := (<= #17 0::Int) -#219 := (or #75 #79) -#220 := (not #219) -#227 := (or #220 #224) -#266 := (if #227 #262 #265) -#259 := (= #20 0::Int) +#243 := (* -1::Int #30) +#244 := (+ #20 #243) +#245 := (= #244 0::Int) +#114 := (<= #19 0::Int) +#121 := (>= #17 0::Int) +#206 := (or #121 #114) +#207 := (not #206) +#110 := (<= #17 0::Int) +#204 := (or #110 #114) +#205 := (not #204) +#210 := (or #205 #207) +#249 := (if #210 #245 #248) +#242 := (= #20 0::Int) #22 := (= #19 0::Int) #21 := (= #17 0::Int) #23 := (or #21 #22) -#267 := (if #23 #259 #266) -#704 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #703) #267) -#270 := (forall (vars (?v0 Int) (?v1 Int)) #267) -#707 := (iff #270 #704) -#705 := (iff #267 #267) -#706 := [refl]: #705 -#708 := [quant-intro #706]: #707 -#230 := (if #227 #30 #107) -#233 := (if #23 0::Int #230) -#236 := (= #20 #233) -#239 := (forall (vars (?v0 Int) (?v1 Int)) #236) -#271 := (iff #239 #270) -#268 := (iff #236 #267) -#269 := [rewrite]: #268 -#272 := [quant-intro #269]: #271 -#80 := (not #79) -#173 := (not #170) -#176 := (and #173 #80) -#76 := (not #75) -#83 := (and #76 #80) -#179 := (or #83 #176) -#182 := (if #179 #30 #107) -#185 := (if #23 0::Int #182) -#188 := (= #20 #185) -#191 := (forall (vars (?v0 Int) (?v1 Int)) #188) -#240 := (iff #191 #239) -#237 := (iff #188 #236) -#234 := (= #185 #233) -#231 := (= #182 #230) -#228 := (iff #179 #227) -#225 := (iff #176 #224) -#226 := [rewrite]: #225 -#221 := (iff #83 #220) -#222 := [rewrite]: #221 -#229 := [monotonicity #222 #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [monotonicity #235]: #237 -#241 := [quant-intro #238]: #240 -#211 := (~ #191 #191) -#213 := (~ #188 #188) -#214 := [refl]: #213 -#212 := [nnf-pos #214]: #211 -#86 := (<= 0::Int #17) -#87 := (not #86) -#95 := (and #87 #80) -#98 := (or #83 #95) -#110 := (if #98 #30 #107) -#113 := (if #23 0::Int #110) -#116 := (= #20 #113) -#119 := (forall (vars (?v0 Int) (?v1 Int)) #116) -#192 := (iff #119 #191) -#189 := (iff #116 #188) -#186 := (= #113 #185) -#183 := (= #110 #182) -#180 := (iff #98 #179) -#177 := (iff #95 #176) -#174 := (iff #87 #173) -#171 := (iff #86 #170) -#172 := [rewrite]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [monotonicity #187]: #189 -#193 := [quant-intro #190]: #192 +#250 := (if #23 #242 #249) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #250) +#253 := (forall (vars (?v0 Int) (?v1 Int)) #250) +#750 := (iff #253 #747) +#748 := (iff #250 #250) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#213 := (if #210 #30 #95) +#216 := (if #23 0::Int #213) +#219 := (= #20 #216) +#222 := (forall (vars (?v0 Int) (?v1 Int)) #219) +#254 := (iff #222 #253) +#251 := (iff #219 #250) +#252 := [rewrite]: #251 +#255 := [quant-intro #252]: #254 +#115 := (not #114) +#122 := (not #121) +#125 := (and #122 #115) +#111 := (not #110) +#118 := (and #111 #115) +#128 := (or #118 #125) +#131 := (if #128 #30 #95) +#134 := (if #23 0::Int #131) +#137 := (= #20 #134) +#140 := (forall (vars (?v0 Int) (?v1 Int)) #137) +#223 := (iff #140 #222) +#220 := (iff #137 #219) +#217 := (= #134 #216) +#214 := (= #131 #213) +#211 := (iff #128 #210) +#208 := (iff #125 #207) +#209 := [rewrite]: #208 +#198 := (iff #118 #205) +#199 := [rewrite]: #198 +#212 := [monotonicity #199 #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [monotonicity #218]: #220 +#224 := [quant-intro #221]: #223 +#202 := (~ #140 #140) +#200 := (~ #137 #137) +#201 := [refl]: #200 +#203 := [nnf-pos #201]: #202 #32 := (- #19) #31 := (- #17) #33 := (div #31 #32) @@ -32646,49 +30450,57 @@ #35 := (if #23 0::Int #34) #36 := (= #20 #35) #37 := (forall (vars (?v0 Int) (?v1 Int)) #36) -#120 := (iff #37 #119) -#117 := (iff #36 #116) -#114 := (= #35 #113) -#111 := (= #34 #110) -#108 := (= #33 #107) -#105 := (= #32 #104) -#106 := [rewrite]: #105 -#102 := (= #31 #101) -#103 := [rewrite]: #102 -#109 := [monotonicity #103 #106]: #108 -#99 := (iff #29 #98) -#96 := (iff #28 #95) -#81 := (iff #25 #80) -#82 := [rewrite]: #81 -#88 := (iff #27 #87) -#92 := (iff #87 #87) -#90 := (iff #86 #86) +#143 := (iff #37 #140) +#98 := (if #29 #30 #95) +#101 := (if #23 0::Int #98) +#104 := (= #20 #101) +#107 := (forall (vars (?v0 Int) (?v1 Int)) #104) +#141 := (iff #107 #140) +#138 := (iff #104 #137) +#135 := (= #101 #134) +#132 := (= #98 #131) +#129 := (iff #29 #128) +#126 := (iff #28 #125) +#116 := (iff #25 #115) +#117 := [rewrite]: #116 +#123 := (iff #27 #122) +#124 := [rewrite]: #123 +#127 := [monotonicity #124 #117]: #126 +#119 := (iff #26 #118) +#112 := (iff #24 #111) +#113 := [rewrite]: #112 +#120 := [monotonicity #113 #117]: #119 +#130 := [monotonicity #120 #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [monotonicity #136]: #138 +#142 := [quant-intro #139]: #141 +#108 := (iff #37 #107) +#105 := (iff #36 #104) +#102 := (= #35 #101) +#99 := (= #34 #98) +#96 := (= #33 #95) +#93 := (= #32 #92) +#94 := [rewrite]: #93 +#90 := (= #31 #88) #91 := [rewrite]: #90 -#93 := [monotonicity #91]: #92 -#89 := [rewrite]: #88 -#94 := [trans #89 #93]: #88 -#97 := [monotonicity #94 #82]: #96 -#84 := (iff #26 #83) -#77 := (iff #24 #76) -#78 := [rewrite]: #77 -#85 := [monotonicity #78 #82]: #84 -#100 := [monotonicity #85 #97]: #99 -#112 := [monotonicity #100 #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [quant-intro #118]: #120 -#51 := [asserted]: #37 -#122 := [mp #51 #121]: #119 -#194 := [mp #122 #193]: #191 -#168 := [mp~ #194 #212]: #191 -#242 := [mp #168 #241]: #239 -#273 := [mp #242 #272]: #270 -#709 := [mp #273 #708]: #704 -#62 := -3::Int -#59 := (f4 f5 -1::Int) -#65 := (f3 #59 -3::Int) -#68 := (= #65 0::Int) -#71 := (not #68) +#97 := [monotonicity #91 #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [monotonicity #103]: #105 +#109 := [quant-intro #106]: #108 +#144 := [trans #109 #142]: #143 +#87 := [asserted]: #37 +#145 := [mp #87 #144]: #140 +#194 := [mp~ #145 #203]: #140 +#225 := [mp #194 #224]: #222 +#256 := [mp #225 #255]: #253 +#752 := [mp #256 #751]: #747 +#75 := -3::Int +#72 := (f4 f5 -1::Int) +#78 := (f3 #72 -3::Int) +#81 := (= #78 0::Int) +#84 := (not #81) #11 := 3::Int #12 := (- 3::Int) #8 := 1::Int @@ -32697,169 +30509,169 @@ #13 := (f3 #10 #12) #15 := (= #13 0::Int) #16 := (not #15) -#72 := (iff #16 #71) -#69 := (iff #15 #68) -#66 := (= #13 #65) -#63 := (= #12 -3::Int) -#64 := [rewrite]: #63 -#60 := (= #10 #59) -#57 := (= #9 -1::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67]: #69 -#73 := [monotonicity #70]: #72 -#50 := [asserted]: #16 -#74 := [mp #50 #73]: #71 -#628 := (not #704) -#629 := (or #628 #68) -#365 := (* -1::Int -3::Int) -#691 := (* -1::Int -1::Int) -#366 := (div #691 #365) -#698 := (* -1::Int #366) -#699 := (+ #65 #698) -#700 := (= #699 0::Int) -#695 := (div -1::Int -3::Int) -#697 := (* -1::Int #695) -#354 := (+ #65 #697) -#484 := (= #354 0::Int) -#367 := (<= -3::Int 0::Int) -#380 := (>= -1::Int 0::Int) -#377 := (or #380 #367) -#381 := (not #377) -#376 := (<= -1::Int 0::Int) -#378 := (or #376 #367) -#379 := (not #378) -#360 := (or #379 #381) -#701 := (if #360 #484 #700) -#374 := (= -3::Int 0::Int) -#290 := (= -1::Int 0::Int) -#375 := (or #290 #374) -#696 := (if #375 #68 #701) -#630 := (or #628 #696) -#631 := (iff #630 #629) -#621 := (iff #629 #629) -#622 := [rewrite]: #621 -#616 := (iff #696 #68) -#634 := (if false #68 #68) -#627 := (iff #634 #68) -#619 := [rewrite]: #627 -#638 := (iff #696 #634) -#544 := (iff #701 #68) -#648 := (= #65 1::Int) -#532 := (if false #648 #68) -#542 := (iff #532 #68) -#543 := [rewrite]: #542 -#540 := (iff #701 #532) -#538 := (iff #700 #68) -#521 := (= #699 #65) -#635 := (+ #65 0::Int) -#633 := (= #635 #65) -#636 := [rewrite]: #633 -#537 := (= #699 #635) -#528 := (= #698 0::Int) -#643 := (* -1::Int 0::Int) -#526 := (= #643 0::Int) -#527 := [rewrite]: #526 -#641 := (= #698 #643) -#640 := (= #366 0::Int) -#654 := (div 1::Int 3::Int) -#486 := (= #654 0::Int) -#639 := [rewrite]: #486 -#483 := (= #366 #654) -#653 := (= #365 3::Int) -#647 := [rewrite]: #653 -#646 := (= #691 1::Int) -#652 := [rewrite]: #646 -#485 := [monotonicity #652 #647]: #483 -#642 := [trans #485 #639]: #640 -#644 := [monotonicity #642]: #641 -#487 := [trans #644 #527]: #528 -#632 := [monotonicity #487]: #537 -#536 := [trans #632 #636]: #521 -#539 := [monotonicity #536]: #538 -#651 := (iff #484 #648) -#656 := (+ -1::Int #65) -#504 := (= #656 0::Int) -#649 := (iff #504 #648) -#650 := [rewrite]: #649 -#505 := (iff #484 #504) -#657 := (= #354 #656) -#659 := (+ #65 -1::Int) -#661 := (= #659 #656) -#662 := [rewrite]: #661 -#660 := (= #354 #659) -#669 := (= #697 -1::Int) -#667 := (* -1::Int 1::Int) -#668 := (= #667 -1::Int) -#665 := [rewrite]: #668 -#382 := (= #697 #667) -#388 := (= #695 1::Int) -#666 := [rewrite]: #388 -#664 := [monotonicity #666]: #382 -#658 := [trans #664 #665]: #669 -#655 := [monotonicity #658]: #660 -#663 := [trans #655 #662]: #657 -#506 := [monotonicity #663]: #505 -#645 := [trans #506 #650]: #651 -#386 := (iff #360 false) -#693 := (or false false) -#337 := (iff #693 false) -#678 := [rewrite]: #337 -#675 := (iff #360 #693) -#674 := (iff #381 false) -#1 := true -#688 := (not true) -#689 := (iff #688 false) -#687 := [rewrite]: #689 -#396 := (iff #381 #688) -#673 := (iff #377 true) -#400 := (or false true) -#296 := (iff #400 true) -#672 := [rewrite]: #296 -#401 := (iff #377 #400) -#680 := (iff #367 true) -#681 := [rewrite]: #680 -#677 := (iff #380 false) -#399 := [rewrite]: #677 -#402 := [monotonicity #399 #681]: #401 -#395 := [trans #402 #672]: #673 -#670 := [monotonicity #395]: #396 -#671 := [trans #670 #687]: #674 -#690 := (iff #379 false) -#328 := (iff #379 #688) -#323 := (iff #378 true) -#682 := (or true true) -#679 := (iff #682 true) -#685 := [rewrite]: #679 -#683 := (iff #378 #682) -#343 := (iff #376 true) -#344 := [rewrite]: #343 -#684 := [monotonicity #344 #681]: #683 -#686 := [trans #684 #685]: #323 -#329 := [monotonicity #686]: #328 -#676 := [trans #329 #687]: #690 -#385 := [monotonicity #676 #671]: #675 -#387 := [trans #385 #678]: #386 -#541 := [monotonicity #387 #645 #539]: #540 -#637 := [trans #541 #543]: #544 -#341 := (iff #375 false) -#353 := (iff #375 #693) -#352 := (iff #374 false) -#357 := [rewrite]: #352 -#702 := (iff #290 false) -#692 := [rewrite]: #702 -#694 := [monotonicity #692 #357]: #353 -#342 := [trans #694 #678]: #341 -#625 := [monotonicity #342 #637]: #638 -#618 := [trans #625 #619]: #616 -#620 := [monotonicity #618]: #631 -#623 := [trans #620 #622]: #631 -#626 := [quant-inst #56 #62]: #630 -#617 := [mp #626 #623]: #629 -[unit-resolution #617 #74 #709]: false -166dc257eef9fb9bbbf145be894cbe683831674b 312 0 -unsat +#85 := (iff #16 #84) +#82 := (iff #15 #81) +#79 := (= #13 #78) +#76 := (= #12 -3::Int) +#77 := [rewrite]: #76 +#73 := (= #10 #72) +#70 := (= #9 -1::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80]: #82 +#86 := [monotonicity #83]: #85 +#68 := [asserted]: #16 +#89 := [mp #68 #86]: #84 +#671 := (not #747) +#672 := (or #671 #81) +#408 := (* -1::Int -3::Int) +#734 := (* -1::Int -1::Int) +#409 := (div #734 #408) +#741 := (* -1::Int #409) +#742 := (+ #78 #741) +#743 := (= #742 0::Int) +#738 := (div -1::Int -3::Int) +#740 := (* -1::Int #738) +#397 := (+ #78 #740) +#527 := (= #397 0::Int) +#410 := (<= -3::Int 0::Int) +#423 := (>= -1::Int 0::Int) +#420 := (or #423 #410) +#424 := (not #420) +#419 := (<= -1::Int 0::Int) +#421 := (or #419 #410) +#422 := (not #421) +#403 := (or #422 #424) +#744 := (if #403 #527 #743) +#417 := (= -3::Int 0::Int) +#333 := (= -1::Int 0::Int) +#418 := (or #333 #417) +#739 := (if #418 #81 #744) +#673 := (or #671 #739) +#674 := (iff #673 #672) +#664 := (iff #672 #672) +#665 := [rewrite]: #664 +#659 := (iff #739 #81) +#677 := (if false #81 #81) +#670 := (iff #677 #81) +#662 := [rewrite]: #670 +#681 := (iff #739 #677) +#587 := (iff #744 #81) +#691 := (= #78 1::Int) +#575 := (if false #691 #81) +#585 := (iff #575 #81) +#586 := [rewrite]: #585 +#583 := (iff #744 #575) +#581 := (iff #743 #81) +#564 := (= #742 #78) +#678 := (+ #78 0::Int) +#676 := (= #678 #78) +#679 := [rewrite]: #676 +#580 := (= #742 #678) +#571 := (= #741 0::Int) +#686 := (* -1::Int 0::Int) +#569 := (= #686 0::Int) +#570 := [rewrite]: #569 +#684 := (= #741 #686) +#683 := (= #409 0::Int) +#697 := (div 1::Int 3::Int) +#529 := (= #697 0::Int) +#682 := [rewrite]: #529 +#526 := (= #409 #697) +#696 := (= #408 3::Int) +#690 := [rewrite]: #696 +#689 := (= #734 1::Int) +#695 := [rewrite]: #689 +#528 := [monotonicity #695 #690]: #526 +#685 := [trans #528 #682]: #683 +#687 := [monotonicity #685]: #684 +#530 := [trans #687 #570]: #571 +#675 := [monotonicity #530]: #580 +#579 := [trans #675 #679]: #564 +#582 := [monotonicity #579]: #581 +#694 := (iff #527 #691) +#699 := (+ -1::Int #78) +#547 := (= #699 0::Int) +#692 := (iff #547 #691) +#693 := [rewrite]: #692 +#548 := (iff #527 #547) +#700 := (= #397 #699) +#702 := (+ #78 -1::Int) +#704 := (= #702 #699) +#705 := [rewrite]: #704 +#703 := (= #397 #702) +#712 := (= #740 -1::Int) +#710 := (* -1::Int 1::Int) +#711 := (= #710 -1::Int) +#708 := [rewrite]: #711 +#425 := (= #740 #710) +#431 := (= #738 1::Int) +#709 := [rewrite]: #431 +#707 := [monotonicity #709]: #425 +#701 := [trans #707 #708]: #712 +#698 := [monotonicity #701]: #703 +#706 := [trans #698 #705]: #700 +#549 := [monotonicity #706]: #548 +#688 := [trans #549 #693]: #694 +#429 := (iff #403 false) +#736 := (or false false) +#380 := (iff #736 false) +#721 := [rewrite]: #380 +#718 := (iff #403 #736) +#717 := (iff #424 false) +#1 := true +#731 := (not true) +#732 := (iff #731 false) +#730 := [rewrite]: #732 +#439 := (iff #424 #731) +#716 := (iff #420 true) +#443 := (or false true) +#339 := (iff #443 true) +#715 := [rewrite]: #339 +#444 := (iff #420 #443) +#723 := (iff #410 true) +#724 := [rewrite]: #723 +#720 := (iff #423 false) +#442 := [rewrite]: #720 +#445 := [monotonicity #442 #724]: #444 +#438 := [trans #445 #715]: #716 +#713 := [monotonicity #438]: #439 +#714 := [trans #713 #730]: #717 +#733 := (iff #422 false) +#371 := (iff #422 #731) +#366 := (iff #421 true) +#725 := (or true true) +#722 := (iff #725 true) +#728 := [rewrite]: #722 +#726 := (iff #421 #725) +#386 := (iff #419 true) +#387 := [rewrite]: #386 +#727 := [monotonicity #387 #724]: #726 +#729 := [trans #727 #728]: #366 +#372 := [monotonicity #729]: #371 +#719 := [trans #372 #730]: #733 +#428 := [monotonicity #719 #714]: #718 +#430 := [trans #428 #721]: #429 +#584 := [monotonicity #430 #688 #582]: #583 +#680 := [trans #584 #586]: #587 +#384 := (iff #418 false) +#396 := (iff #418 #736) +#395 := (iff #417 false) +#400 := [rewrite]: #395 +#745 := (iff #333 false) +#735 := [rewrite]: #745 +#737 := [monotonicity #735 #400]: #396 +#385 := [trans #737 #721]: #384 +#668 := [monotonicity #385 #680]: #681 +#661 := [trans #668 #662]: #659 +#663 := [monotonicity #661]: #674 +#666 := [trans #663 #665]: #674 +#669 := [quant-inst #69 #75]: #673 +#660 := [mp #669 #666]: #672 +[unit-resolution #660 #89 #752]: false +unsat +bb462ec316170c69257cf123bc5b6d6575fb0bf4 296 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -32869,99 +30681,75 @@ #7 := f5 #16 := (f4 f5 #15) #18 := (f3 #16 #17) -#700 := (pattern #18) +#743 := (pattern #18) #19 := 0::Int -#97 := -1::Int -#101 := (* -1::Int #17) -#98 := (* -1::Int #15) -#104 := (div #98 #101) -#260 := (* -1::Int #104) -#261 := (+ #18 #260) -#262 := (= #261 0::Int) +#84 := -1::Int +#89 := (* -1::Int #17) +#86 := (* -1::Int #15) +#92 := (div #86 #89) +#243 := (* -1::Int #92) +#244 := (+ #18 #243) +#245 := (= #244 0::Int) #29 := (div #15 #17) -#257 := (* -1::Int #29) -#258 := (+ #18 #257) -#259 := (= #258 0::Int) -#75 := (<= #17 0::Int) -#167 := (>= #15 0::Int) -#220 := (or #167 #75) -#221 := (not #220) -#71 := (<= #15 0::Int) -#216 := (or #71 #75) -#217 := (not #216) -#224 := (or #217 #221) -#263 := (if #224 #259 #262) -#256 := (= #18 0::Int) +#240 := (* -1::Int #29) +#241 := (+ #18 #240) +#242 := (= #241 0::Int) +#111 := (<= #17 0::Int) +#118 := (>= #15 0::Int) +#203 := (or #118 #111) +#204 := (not #203) +#107 := (<= #15 0::Int) +#201 := (or #107 #111) +#202 := (not #201) +#207 := (or #202 #204) +#246 := (if #207 #242 #245) +#239 := (= #18 0::Int) #21 := (= #17 0::Int) #20 := (= #15 0::Int) #22 := (or #20 #21) -#264 := (if #22 #256 #263) -#701 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #700) #264) -#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) -#704 := (iff #267 #701) -#702 := (iff #264 #264) -#703 := [refl]: #702 -#705 := [quant-intro #703]: #704 -#227 := (if #224 #29 #104) -#230 := (if #22 0::Int #227) -#233 := (= #18 #230) -#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) -#268 := (iff #236 #267) -#265 := (iff #233 #264) -#266 := [rewrite]: #265 -#269 := [quant-intro #266]: #268 -#76 := (not #75) -#170 := (not #167) -#173 := (and #170 #76) -#72 := (not #71) -#79 := (and #72 #76) -#176 := (or #79 #173) -#179 := (if #176 #29 #104) -#182 := (if #22 0::Int #179) -#185 := (= #18 #182) -#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) -#237 := (iff #188 #236) -#234 := (iff #185 #233) -#231 := (= #182 #230) -#228 := (= #179 #227) -#225 := (iff #176 #224) -#222 := (iff #173 #221) -#223 := [rewrite]: #222 -#218 := (iff #79 #217) -#219 := [rewrite]: #218 -#226 := [monotonicity #219 #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [quant-intro #235]: #237 -#210 := (~ #188 #188) -#212 := (~ #185 #185) -#213 := [refl]: #212 -#211 := [nnf-pos #213]: #210 -#82 := (<= 0::Int #15) -#83 := (not #82) -#91 := (and #83 #76) -#94 := (or #79 #91) -#107 := (if #94 #29 #104) -#110 := (if #22 0::Int #107) -#113 := (= #18 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#189 := (iff #116 #188) -#186 := (iff #113 #185) -#183 := (= #110 #182) -#180 := (= #107 #179) -#177 := (iff #94 #176) -#174 := (iff #91 #173) -#171 := (iff #83 #170) -#168 := (iff #82 #167) -#169 := [rewrite]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [quant-intro #187]: #189 +#247 := (if #22 #239 #246) +#744 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #743) #247) +#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) +#747 := (iff #250 #744) +#745 := (iff #247 #247) +#746 := [refl]: #745 +#748 := [quant-intro #746]: #747 +#210 := (if #207 #29 #92) +#213 := (if #22 0::Int #210) +#216 := (= #18 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#251 := (iff #219 #250) +#248 := (iff #216 #247) +#249 := [rewrite]: #248 +#252 := [quant-intro #249]: #251 +#112 := (not #111) +#119 := (not #118) +#122 := (and #119 #112) +#108 := (not #107) +#115 := (and #108 #112) +#125 := (or #115 #122) +#128 := (if #125 #29 #92) +#131 := (if #22 0::Int #128) +#134 := (= #18 #131) +#137 := (forall (vars (?v0 Int) (?v1 Int)) #134) +#220 := (iff #137 #219) +#217 := (iff #134 #216) +#214 := (= #131 #213) +#211 := (= #128 #210) +#208 := (iff #125 #207) +#205 := (iff #122 #204) +#206 := [rewrite]: #205 +#195 := (iff #115 #202) +#196 := [rewrite]: #195 +#209 := [monotonicity #196 #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#199 := (~ #137 #137) +#197 := (~ #134 #134) +#198 := [refl]: #197 +#200 := [nnf-pos #198]: #199 #31 := (- #17) #30 := (- #15) #32 := (div #30 #31) @@ -32975,204 +30763,212 @@ #34 := (if #22 0::Int #33) #35 := (= #18 #34) #36 := (forall (vars (?v0 Int) (?v1 Int)) #35) -#117 := (iff #36 #116) -#114 := (iff #35 #113) -#111 := (= #34 #110) -#108 := (= #33 #107) -#105 := (= #32 #104) -#102 := (= #31 #101) -#103 := [rewrite]: #102 -#99 := (= #30 #98) -#100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#95 := (iff #28 #94) -#92 := (iff #27 #91) -#77 := (iff #24 #76) -#78 := [rewrite]: #77 -#84 := (iff #26 #83) -#88 := (iff #83 #83) -#86 := (iff #82 #82) -#87 := [rewrite]: #86 -#89 := [monotonicity #87]: #88 -#85 := [rewrite]: #84 -#90 := [trans #85 #89]: #84 -#93 := [monotonicity #90 #78]: #92 -#80 := (iff #25 #79) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#81 := [monotonicity #74 #78]: #80 -#96 := [monotonicity #81 #93]: #95 -#109 := [monotonicity #96 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#50 := [asserted]: #36 -#119 := [mp #50 #118]: #116 -#191 := [mp #119 #190]: #188 -#208 := [mp~ #191 #211]: #188 -#239 := [mp #208 #238]: #236 -#270 := [mp #239 #269]: #267 -#706 := [mp #270 #705]: #701 +#140 := (iff #36 #137) +#95 := (if #28 #29 #92) +#98 := (if #22 0::Int #95) +#101 := (= #18 #98) +#104 := (forall (vars (?v0 Int) (?v1 Int)) #101) +#138 := (iff #104 #137) +#135 := (iff #101 #134) +#132 := (= #98 #131) +#129 := (= #95 #128) +#126 := (iff #28 #125) +#123 := (iff #27 #122) +#113 := (iff #24 #112) +#114 := [rewrite]: #113 +#120 := (iff #26 #119) +#121 := [rewrite]: #120 +#124 := [monotonicity #121 #114]: #123 +#116 := (iff #25 #115) +#109 := (iff #23 #108) +#110 := [rewrite]: #109 +#117 := [monotonicity #110 #114]: #116 +#127 := [monotonicity #117 #124]: #126 +#130 := [monotonicity #127]: #129 +#133 := [monotonicity #130]: #132 +#136 := [monotonicity #133]: #135 +#139 := [quant-intro #136]: #138 +#105 := (iff #36 #104) +#102 := (iff #35 #101) +#99 := (= #34 #98) +#96 := (= #33 #95) +#93 := (= #32 #92) +#90 := (= #31 #89) +#91 := [rewrite]: #90 +#87 := (= #30 #86) +#88 := [rewrite]: #87 +#94 := [monotonicity #88 #91]: #93 +#97 := [monotonicity #94]: #96 +#100 := [monotonicity #97]: #99 +#103 := [monotonicity #100]: #102 +#106 := [quant-intro #103]: #105 +#141 := [trans #106 #139]: #140 +#83 := [asserted]: #36 +#142 := [mp #83 #141]: #137 +#191 := [mp~ #142 #200]: #137 +#222 := [mp #191 #221]: #219 +#253 := [mp #222 #252]: #250 +#749 := [mp #253 #748]: #744 #12 := 1::Int -#55 := -3::Int -#58 := (f4 f5 -3::Int) -#61 := (f3 #58 -3::Int) -#64 := (= #61 1::Int) -#67 := (not #64) +#68 := -3::Int +#71 := (f4 f5 -3::Int) +#74 := (f3 #71 -3::Int) +#77 := (= #74 1::Int) +#80 := (not #77) #8 := 3::Int #9 := (- 3::Int) #10 := (f4 f5 #9) #11 := (f3 #10 #9) #13 := (= #11 1::Int) #14 := (not #13) -#68 := (iff #14 #67) -#65 := (iff #13 #64) -#62 := (= #11 #61) -#56 := (= #9 -3::Int) -#57 := [rewrite]: #56 -#59 := (= #10 #58) -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60 #57]: #62 -#66 := [monotonicity #63]: #65 -#69 := [monotonicity #66]: #68 -#49 := [asserted]: #14 -#70 := [mp #49 #69]: #67 -#537 := (not #701) -#538 := (or #537 #64) -#481 := (* -1::Int -3::Int) -#688 := (div #481 #481) -#362 := (* -1::Int #688) -#363 := (+ #61 #362) -#695 := (= #363 0::Int) -#357 := (div -3::Int -3::Int) -#692 := (* -1::Int #357) -#694 := (+ #61 #692) -#351 := (= #694 0::Int) -#373 := (<= -3::Int 0::Int) -#376 := (>= -3::Int 0::Int) -#377 := (or #376 #373) -#374 := (not #377) -#364 := (or #373 #373) -#375 := (not #364) -#378 := (or #375 #374) -#696 := (if #378 #351 #695) -#372 := (= #61 0::Int) -#287 := (= -3::Int 0::Int) -#371 := (or #287 #287) -#697 := (if #371 #372 #696) -#539 := (or #537 #697) -#541 := (iff #539 #538) -#631 := (iff #538 #538) -#635 := [rewrite]: #631 -#536 := (iff #697 #64) -#630 := (if false #372 #64) -#533 := (iff #630 #64) -#535 := [rewrite]: #533 -#633 := (iff #697 #630) -#534 := (iff #696 #64) -#523 := (if false #64 #64) -#484 := (iff #523 #64) -#632 := [rewrite]: #484 -#524 := (iff #696 #523) -#638 := (iff #695 #64) -#662 := (+ -1::Int #61) -#652 := (= #662 0::Int) -#659 := (iff #652 #64) -#654 := [rewrite]: #659 -#639 := (iff #695 #652) -#636 := (= #363 #662) -#379 := (+ #61 -1::Int) -#666 := (= #379 #662) -#655 := [rewrite]: #666 -#482 := (= #363 #379) -#651 := (= #362 -1::Int) -#672 := (* -1::Int 1::Int) -#384 := (= #672 -1::Int) -#385 := [rewrite]: #384 -#650 := (= #362 #672) -#643 := (= #688 1::Int) -#645 := (div 3::Int 3::Int) -#648 := (= #645 1::Int) -#642 := [rewrite]: #648 -#646 := (= #688 #645) -#502 := (= #481 3::Int) -#503 := [rewrite]: #502 -#647 := [monotonicity #503 #503]: #646 -#649 := [trans #647 #642]: #643 -#644 := [monotonicity #649]: #650 -#480 := [trans #644 #385]: #651 -#483 := [monotonicity #480]: #482 -#637 := [trans #483 #655]: #636 -#640 := [monotonicity #637]: #639 -#641 := [trans #640 #654]: #638 -#660 := (iff #351 #64) -#653 := (iff #351 #652) -#656 := (= #694 #662) -#661 := (= #694 #379) -#663 := (= #692 -1::Int) -#382 := (= #692 #672) -#671 := (= #357 1::Int) -#668 := [rewrite]: #671 -#383 := [monotonicity #668]: #382 -#664 := [trans #383 #385]: #663 -#665 := [monotonicity #664]: #661 -#657 := [trans #665 #655]: #656 -#658 := [monotonicity #657]: #653 -#501 := [trans #658 #654]: #660 -#393 := (iff #378 false) -#699 := (or false false) -#354 := (iff #699 false) -#690 := [rewrite]: #354 -#670 := (iff #378 #699) -#293 := (iff #374 false) -#1 := true -#680 := (not true) -#682 := (iff #680 false) -#320 := [rewrite]: #682 -#398 := (iff #374 #680) -#396 := (iff #377 true) -#686 := (or false true) -#673 := (iff #686 true) -#674 := [rewrite]: #673 -#684 := (iff #377 #686) -#334 := (iff #373 true) -#675 := [rewrite]: #334 -#325 := (iff #376 false) -#326 := [rewrite]: #325 -#687 := [monotonicity #326 #675]: #684 -#397 := [trans #687 #674]: #396 -#399 := [monotonicity #397]: #398 -#669 := [trans #399 #320]: #293 -#683 := (iff #375 false) -#681 := (iff #375 #680) -#678 := (iff #364 true) -#338 := (or true true) -#341 := (iff #338 true) -#677 := [rewrite]: #341 -#339 := (iff #364 #338) -#340 := [monotonicity #675 #675]: #339 -#679 := [trans #340 #677]: #678 -#676 := [monotonicity #679]: #681 -#685 := [trans #676 #320]: #683 -#392 := [monotonicity #685 #669]: #670 -#667 := [trans #392 #690]: #393 -#525 := [monotonicity #667 #501 #641]: #524 -#629 := [trans #525 #632]: #534 -#350 := (iff #371 false) -#689 := (iff #371 #699) -#698 := (iff #287 false) -#693 := [rewrite]: #698 -#349 := [monotonicity #693 #693]: #689 -#691 := [trans #349 #690]: #350 -#518 := [monotonicity #691 #629]: #633 -#529 := [trans #518 #535]: #536 -#634 := [monotonicity #529]: #541 -#622 := [trans #634 #635]: #541 -#540 := [quant-inst #55 #55]: #539 -#624 := [mp #540 #622]: #538 -[unit-resolution #624 #70 #706]: false -ac847d4d96ab393b411eb8572de1bfa41757e40d 339 0 -unsat +#81 := (iff #14 #80) +#78 := (iff #13 #77) +#75 := (= #11 #74) +#69 := (= #9 -3::Int) +#70 := [rewrite]: #69 +#72 := (= #10 #71) +#73 := [monotonicity #70]: #72 +#76 := [monotonicity #73 #70]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#67 := [asserted]: #14 +#85 := [mp #67 #82]: #80 +#580 := (not #744) +#581 := (or #580 #77) +#524 := (* -1::Int -3::Int) +#731 := (div #524 #524) +#405 := (* -1::Int #731) +#406 := (+ #74 #405) +#738 := (= #406 0::Int) +#400 := (div -3::Int -3::Int) +#735 := (* -1::Int #400) +#737 := (+ #74 #735) +#394 := (= #737 0::Int) +#416 := (<= -3::Int 0::Int) +#419 := (>= -3::Int 0::Int) +#420 := (or #419 #416) +#417 := (not #420) +#407 := (or #416 #416) +#418 := (not #407) +#421 := (or #418 #417) +#739 := (if #421 #394 #738) +#415 := (= #74 0::Int) +#330 := (= -3::Int 0::Int) +#414 := (or #330 #330) +#740 := (if #414 #415 #739) +#582 := (or #580 #740) +#584 := (iff #582 #581) +#674 := (iff #581 #581) +#678 := [rewrite]: #674 +#579 := (iff #740 #77) +#673 := (if false #415 #77) +#576 := (iff #673 #77) +#578 := [rewrite]: #576 +#676 := (iff #740 #673) +#577 := (iff #739 #77) +#566 := (if false #77 #77) +#527 := (iff #566 #77) +#675 := [rewrite]: #527 +#567 := (iff #739 #566) +#681 := (iff #738 #77) +#705 := (+ -1::Int #74) +#695 := (= #705 0::Int) +#702 := (iff #695 #77) +#697 := [rewrite]: #702 +#682 := (iff #738 #695) +#679 := (= #406 #705) +#422 := (+ #74 -1::Int) +#709 := (= #422 #705) +#698 := [rewrite]: #709 +#525 := (= #406 #422) +#694 := (= #405 -1::Int) +#715 := (* -1::Int 1::Int) +#427 := (= #715 -1::Int) +#428 := [rewrite]: #427 +#693 := (= #405 #715) +#686 := (= #731 1::Int) +#688 := (div 3::Int 3::Int) +#691 := (= #688 1::Int) +#685 := [rewrite]: #691 +#689 := (= #731 #688) +#545 := (= #524 3::Int) +#546 := [rewrite]: #545 +#690 := [monotonicity #546 #546]: #689 +#692 := [trans #690 #685]: #686 +#687 := [monotonicity #692]: #693 +#523 := [trans #687 #428]: #694 +#526 := [monotonicity #523]: #525 +#680 := [trans #526 #698]: #679 +#683 := [monotonicity #680]: #682 +#684 := [trans #683 #697]: #681 +#703 := (iff #394 #77) +#696 := (iff #394 #695) +#699 := (= #737 #705) +#704 := (= #737 #422) +#706 := (= #735 -1::Int) +#425 := (= #735 #715) +#714 := (= #400 1::Int) +#711 := [rewrite]: #714 +#426 := [monotonicity #711]: #425 +#707 := [trans #426 #428]: #706 +#708 := [monotonicity #707]: #704 +#700 := [trans #708 #698]: #699 +#701 := [monotonicity #700]: #696 +#544 := [trans #701 #697]: #703 +#436 := (iff #421 false) +#742 := (or false false) +#397 := (iff #742 false) +#733 := [rewrite]: #397 +#713 := (iff #421 #742) +#336 := (iff #417 false) +#1 := true +#723 := (not true) +#725 := (iff #723 false) +#363 := [rewrite]: #725 +#441 := (iff #417 #723) +#439 := (iff #420 true) +#729 := (or false true) +#716 := (iff #729 true) +#717 := [rewrite]: #716 +#727 := (iff #420 #729) +#377 := (iff #416 true) +#718 := [rewrite]: #377 +#368 := (iff #419 false) +#369 := [rewrite]: #368 +#730 := [monotonicity #369 #718]: #727 +#440 := [trans #730 #717]: #439 +#442 := [monotonicity #440]: #441 +#712 := [trans #442 #363]: #336 +#726 := (iff #418 false) +#724 := (iff #418 #723) +#721 := (iff #407 true) +#381 := (or true true) +#384 := (iff #381 true) +#720 := [rewrite]: #384 +#382 := (iff #407 #381) +#383 := [monotonicity #718 #718]: #382 +#722 := [trans #383 #720]: #721 +#719 := [monotonicity #722]: #724 +#728 := [trans #719 #363]: #726 +#435 := [monotonicity #728 #712]: #713 +#710 := [trans #435 #733]: #436 +#568 := [monotonicity #710 #544 #684]: #567 +#672 := [trans #568 #675]: #577 +#393 := (iff #414 false) +#732 := (iff #414 #742) +#741 := (iff #330 false) +#736 := [rewrite]: #741 +#392 := [monotonicity #736 #736]: #732 +#734 := [trans #392 #733]: #393 +#561 := [monotonicity #734 #672]: #676 +#572 := [trans #561 #578]: #579 +#677 := [monotonicity #572]: #584 +#665 := [trans #677 #678]: #584 +#583 := [quant-inst #68 #68]: #582 +#667 := [mp #583 #665]: #581 +[unit-resolution #667 #85 #749]: false +unsat +0b3a009851b606e94e7b0991d7f83ada2f7a2088 323 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -33182,99 +30978,75 @@ #7 := f5 #18 := (f4 f5 #17) #20 := (f3 #18 #19) -#705 := (pattern #20) +#747 := (pattern #20) #21 := 0::Int -#102 := -1::Int -#106 := (* -1::Int #19) -#103 := (* -1::Int #17) -#109 := (div #103 #106) -#265 := (* -1::Int #109) -#266 := (+ #20 #265) -#267 := (= #266 0::Int) +#89 := -1::Int +#94 := (* -1::Int #19) +#91 := (* -1::Int #17) +#97 := (div #91 #94) +#248 := (* -1::Int #97) +#249 := (+ #20 #248) +#250 := (= #249 0::Int) #31 := (div #17 #19) -#262 := (* -1::Int #31) -#263 := (+ #20 #262) -#264 := (= #263 0::Int) -#80 := (<= #19 0::Int) -#172 := (>= #17 0::Int) -#225 := (or #172 #80) -#226 := (not #225) -#76 := (<= #17 0::Int) -#221 := (or #76 #80) -#222 := (not #221) -#229 := (or #222 #226) -#268 := (if #229 #264 #267) -#261 := (= #20 0::Int) +#245 := (* -1::Int #31) +#246 := (+ #20 #245) +#247 := (= #246 0::Int) +#116 := (<= #19 0::Int) +#123 := (>= #17 0::Int) +#208 := (or #123 #116) +#209 := (not #208) +#112 := (<= #17 0::Int) +#206 := (or #112 #116) +#207 := (not #206) +#212 := (or #207 #209) +#251 := (if #212 #247 #250) +#244 := (= #20 0::Int) #23 := (= #19 0::Int) #22 := (= #17 0::Int) #24 := (or #22 #23) -#269 := (if #24 #261 #268) -#706 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #705) #269) -#272 := (forall (vars (?v0 Int) (?v1 Int)) #269) -#709 := (iff #272 #706) -#707 := (iff #269 #269) -#708 := [refl]: #707 -#710 := [quant-intro #708]: #709 -#232 := (if #229 #31 #109) -#235 := (if #24 0::Int #232) -#238 := (= #20 #235) -#241 := (forall (vars (?v0 Int) (?v1 Int)) #238) -#273 := (iff #241 #272) -#270 := (iff #238 #269) -#271 := [rewrite]: #270 -#274 := [quant-intro #271]: #273 -#81 := (not #80) -#175 := (not #172) -#178 := (and #175 #81) -#77 := (not #76) -#84 := (and #77 #81) -#181 := (or #84 #178) -#184 := (if #181 #31 #109) -#187 := (if #24 0::Int #184) -#190 := (= #20 #187) -#193 := (forall (vars (?v0 Int) (?v1 Int)) #190) -#242 := (iff #193 #241) -#239 := (iff #190 #238) -#236 := (= #187 #235) -#233 := (= #184 #232) -#230 := (iff #181 #229) -#227 := (iff #178 #226) -#228 := [rewrite]: #227 -#223 := (iff #84 #222) -#224 := [rewrite]: #223 -#231 := [monotonicity #224 #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [monotonicity #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [quant-intro #240]: #242 -#213 := (~ #193 #193) -#215 := (~ #190 #190) -#216 := [refl]: #215 -#214 := [nnf-pos #216]: #213 -#87 := (<= 0::Int #17) -#88 := (not #87) -#96 := (and #88 #81) -#99 := (or #84 #96) -#112 := (if #99 #31 #109) -#115 := (if #24 0::Int #112) -#118 := (= #20 #115) -#121 := (forall (vars (?v0 Int) (?v1 Int)) #118) -#194 := (iff #121 #193) -#191 := (iff #118 #190) -#188 := (= #115 #187) -#185 := (= #112 #184) -#182 := (iff #99 #181) -#179 := (iff #96 #178) -#176 := (iff #88 #175) -#173 := (iff #87 #172) -#174 := [rewrite]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [monotonicity #186]: #188 -#192 := [monotonicity #189]: #191 -#195 := [quant-intro #192]: #194 +#252 := (if #24 #244 #251) +#748 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #747) #252) +#255 := (forall (vars (?v0 Int) (?v1 Int)) #252) +#751 := (iff #255 #748) +#749 := (iff #252 #252) +#750 := [refl]: #749 +#752 := [quant-intro #750]: #751 +#215 := (if #212 #31 #97) +#218 := (if #24 0::Int #215) +#221 := (= #20 #218) +#224 := (forall (vars (?v0 Int) (?v1 Int)) #221) +#256 := (iff #224 #255) +#253 := (iff #221 #252) +#254 := [rewrite]: #253 +#257 := [quant-intro #254]: #256 +#117 := (not #116) +#124 := (not #123) +#127 := (and #124 #117) +#113 := (not #112) +#120 := (and #113 #117) +#130 := (or #120 #127) +#133 := (if #130 #31 #97) +#136 := (if #24 0::Int #133) +#139 := (= #20 #136) +#142 := (forall (vars (?v0 Int) (?v1 Int)) #139) +#225 := (iff #142 #224) +#222 := (iff #139 #221) +#219 := (= #136 #218) +#216 := (= #133 #215) +#213 := (iff #130 #212) +#210 := (iff #127 #209) +#211 := [rewrite]: #210 +#200 := (iff #120 #207) +#201 := [rewrite]: #200 +#214 := [monotonicity #201 #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [monotonicity #217]: #219 +#223 := [monotonicity #220]: #222 +#226 := [quant-intro #223]: #225 +#204 := (~ #142 #142) +#202 := (~ #139 #139) +#203 := [refl]: #202 +#205 := [nnf-pos #203]: #204 #33 := (- #19) #32 := (- #17) #34 := (div #32 #33) @@ -33288,51 +31060,59 @@ #36 := (if #24 0::Int #35) #37 := (= #20 #36) #38 := (forall (vars (?v0 Int) (?v1 Int)) #37) -#122 := (iff #38 #121) -#119 := (iff #37 #118) -#116 := (= #36 #115) -#113 := (= #35 #112) -#110 := (= #34 #109) -#107 := (= #33 #106) -#108 := [rewrite]: #107 -#104 := (= #32 #103) -#105 := [rewrite]: #104 -#111 := [monotonicity #105 #108]: #110 -#100 := (iff #30 #99) -#97 := (iff #29 #96) -#82 := (iff #26 #81) -#83 := [rewrite]: #82 -#89 := (iff #28 #88) -#93 := (iff #88 #88) -#91 := (iff #87 #87) -#92 := [rewrite]: #91 -#94 := [monotonicity #92]: #93 -#90 := [rewrite]: #89 -#95 := [trans #90 #94]: #89 -#98 := [monotonicity #95 #83]: #97 -#85 := (iff #27 #84) -#78 := (iff #25 #77) -#79 := [rewrite]: #78 -#86 := [monotonicity #79 #83]: #85 -#101 := [monotonicity #86 #98]: #100 -#114 := [monotonicity #101 #111]: #113 -#117 := [monotonicity #114]: #116 -#120 := [monotonicity #117]: #119 -#123 := [quant-intro #120]: #122 -#52 := [asserted]: #38 -#124 := [mp #52 #123]: #121 -#196 := [mp #124 #195]: #193 -#170 := [mp~ #196 #214]: #193 -#244 := [mp #170 #243]: #241 -#275 := [mp #244 #274]: #272 -#711 := [mp #275 #710]: #706 +#145 := (iff #38 #142) +#100 := (if #30 #31 #97) +#103 := (if #24 0::Int #100) +#106 := (= #20 #103) +#109 := (forall (vars (?v0 Int) (?v1 Int)) #106) +#143 := (iff #109 #142) +#140 := (iff #106 #139) +#137 := (= #103 #136) +#134 := (= #100 #133) +#131 := (iff #30 #130) +#128 := (iff #29 #127) +#118 := (iff #26 #117) +#119 := [rewrite]: #118 +#125 := (iff #28 #124) +#126 := [rewrite]: #125 +#129 := [monotonicity #126 #119]: #128 +#121 := (iff #27 #120) +#114 := (iff #25 #113) +#115 := [rewrite]: #114 +#122 := [monotonicity #115 #119]: #121 +#132 := [monotonicity #122 #129]: #131 +#135 := [monotonicity #132]: #134 +#138 := [monotonicity #135]: #137 +#141 := [monotonicity #138]: #140 +#144 := [quant-intro #141]: #143 +#110 := (iff #38 #109) +#107 := (iff #37 #106) +#104 := (= #36 #103) +#101 := (= #35 #100) +#98 := (= #34 #97) +#95 := (= #33 #94) +#96 := [rewrite]: #95 +#92 := (= #32 #91) +#93 := [rewrite]: #92 +#99 := [monotonicity #93 #96]: #98 +#102 := [monotonicity #99]: #101 +#105 := [monotonicity #102]: #104 +#108 := [monotonicity #105]: #107 +#111 := [quant-intro #108]: #110 +#146 := [trans #111 #144]: #145 +#88 := [asserted]: #38 +#147 := [mp #88 #146]: #142 +#196 := [mp~ #147 #205]: #142 +#227 := [mp #196 #226]: #224 +#258 := [mp #227 #257]: #255 +#753 := [mp #258 #752]: #748 #14 := 1::Int -#63 := -3::Int -#57 := -5::Int -#60 := (f4 f5 -5::Int) -#66 := (f3 #60 -3::Int) -#69 := (= #66 1::Int) -#72 := (not #69) +#76 := -3::Int +#70 := -5::Int +#73 := (f4 f5 -5::Int) +#79 := (f3 #73 -3::Int) +#82 := (= #79 1::Int) +#85 := (not #82) #11 := 3::Int #12 := (- 3::Int) #8 := 5::Int @@ -33341,178 +31121,178 @@ #13 := (f3 #10 #12) #15 := (= #13 1::Int) #16 := (not #15) -#73 := (iff #16 #72) -#70 := (iff #15 #69) -#67 := (= #13 #66) -#64 := (= #12 -3::Int) -#65 := [rewrite]: #64 -#61 := (= #10 #60) -#58 := (= #9 -5::Int) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#68 := [monotonicity #62 #65]: #67 -#71 := [monotonicity #68]: #70 -#74 := [monotonicity #71]: #73 -#51 := [asserted]: #16 -#75 := [mp #51 #74]: #72 -#619 := (not #706) -#626 := (or #619 #69) -#368 := (* -1::Int -3::Int) -#367 := (* -1::Int -5::Int) -#700 := (div #367 #368) -#701 := (* -1::Int #700) -#702 := (+ #66 #701) -#703 := (= #702 0::Int) -#699 := (div -5::Int -3::Int) -#356 := (* -1::Int #699) -#486 := (+ #66 #356) -#693 := (= #486 0::Int) -#380 := (<= -3::Int 0::Int) -#379 := (>= -5::Int 0::Int) -#383 := (or #379 #380) -#362 := (not #383) -#369 := (<= -5::Int 0::Int) -#381 := (or #369 #380) -#382 := (not #381) -#697 := (or #382 #362) -#698 := (if #697 #693 #703) -#378 := (= #66 0::Int) -#376 := (= -3::Int 0::Int) -#292 := (= -5::Int 0::Int) -#377 := (or #292 #376) -#704 := (if #377 #378 #698) -#610 := (or #619 #704) -#613 := (iff #610 #626) -#615 := (iff #626 #626) -#616 := [rewrite]: #615 -#624 := (iff #704 #69) -#632 := (if false #378 #69) -#622 := (iff #632 #69) -#623 := [rewrite]: #622 -#628 := (iff #704 #632) -#630 := (iff #698 #69) -#668 := 2::Int -#653 := (= #66 2::Int) -#627 := (if false #653 #69) -#618 := (iff #627 #69) -#620 := [rewrite]: #618 -#629 := (iff #698 #627) -#636 := (iff #703 #69) -#538 := (+ -1::Int #66) -#543 := (= #538 0::Int) -#546 := (iff #543 #69) -#639 := [rewrite]: #546 -#544 := (iff #703 #543) -#534 := (= #702 #538) -#635 := (+ #66 -1::Int) -#540 := (= #635 #538) -#541 := [rewrite]: #540 -#638 := (= #702 #635) -#539 := (= #701 -1::Int) -#528 := (* -1::Int 1::Int) -#489 := (= #528 -1::Int) -#637 := [rewrite]: #489 -#529 := (= #701 #528) -#643 := (= #700 1::Int) -#488 := (div 5::Int 3::Int) -#644 := (= #488 1::Int) -#645 := [rewrite]: #644 -#641 := (= #700 #488) -#485 := (= #368 3::Int) -#487 := [rewrite]: #485 -#649 := (= #367 5::Int) -#656 := [rewrite]: #649 -#642 := [monotonicity #656 #487]: #641 -#646 := [trans #642 #645]: #643 -#530 := [monotonicity #646]: #529 -#634 := [trans #530 #637]: #539 -#523 := [monotonicity #634]: #638 -#542 := [trans #523 #541]: #534 -#545 := [monotonicity #542]: #544 -#640 := [trans #545 #639]: #636 -#654 := (iff #693 #653) -#671 := -2::Int -#659 := (+ -2::Int #66) -#650 := (= #659 0::Int) -#647 := (iff #650 #653) -#648 := [rewrite]: #647 -#651 := (iff #693 #650) -#507 := (= #486 #659) -#658 := (+ #66 -2::Int) -#665 := (= #658 #659) -#506 := [rewrite]: #665 -#663 := (= #486 #658) -#662 := (= #356 -2::Int) -#666 := (* -1::Int 2::Int) -#660 := (= #666 -2::Int) -#661 := [rewrite]: #660 -#670 := (= #356 #666) -#669 := (= #699 2::Int) -#384 := [rewrite]: #669 -#667 := [monotonicity #384]: #670 -#657 := [trans #667 #661]: #662 -#664 := [monotonicity #657]: #663 -#508 := [trans #664 #506]: #507 -#652 := [monotonicity #508]: #651 -#655 := [trans #652 #648]: #654 -#389 := (iff #697 false) -#355 := (or false false) -#680 := (iff #355 false) -#343 := [rewrite]: #680 -#387 := (iff #697 #355) -#673 := (iff #362 false) -#1 := true -#330 := (not true) -#689 := (iff #330 false) -#692 := [rewrite]: #689 -#672 := (iff #362 #330) -#397 := (iff #383 true) -#403 := (or false true) -#674 := (iff #403 true) -#675 := [rewrite]: #674 -#404 := (iff #383 #403) -#683 := (iff #380 true) -#684 := [rewrite]: #683 -#401 := (iff #379 false) -#402 := [rewrite]: #401 -#298 := [monotonicity #402 #684]: #404 -#398 := [trans #298 #675]: #397 -#676 := [monotonicity #398]: #672 -#677 := [trans #676 #692]: #673 -#678 := (iff #382 false) -#331 := (iff #382 #330) -#688 := (iff #381 true) -#685 := (or true true) -#687 := (iff #685 true) -#325 := [rewrite]: #687 -#686 := (iff #381 #685) -#346 := (iff #369 true) -#682 := [rewrite]: #346 -#681 := [monotonicity #682 #684]: #686 -#690 := [trans #681 #325]: #688 -#691 := [monotonicity #690]: #331 -#679 := [trans #691 #692]: #678 -#388 := [monotonicity #679 #677]: #387 -#390 := [trans #388 #343]: #389 -#621 := [monotonicity #390 #655 #640]: #629 -#631 := [trans #621 #620]: #630 -#344 := (iff #377 false) -#696 := (iff #377 #355) -#359 := (iff #376 false) -#695 := [rewrite]: #359 -#694 := (iff #292 false) -#354 := [rewrite]: #694 -#339 := [monotonicity #354 #695]: #696 -#345 := [trans #339 #343]: #344 -#633 := [monotonicity #345 #631]: #628 -#625 := [trans #633 #623]: #624 -#614 := [monotonicity #625]: #613 -#612 := [trans #614 #616]: #613 -#611 := [quant-inst #57 #63]: #610 -#617 := [mp #611 #612]: #626 -[unit-resolution #617 #75 #711]: false -ce1a28b0de5b74c56978e7de07c2e3640f9fb87f 275 0 -unsat +#86 := (iff #16 #85) +#83 := (iff #15 #82) +#80 := (= #13 #79) +#77 := (= #12 -3::Int) +#78 := [rewrite]: #77 +#74 := (= #10 #73) +#71 := (= #9 -5::Int) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#81 := [monotonicity #75 #78]: #80 +#84 := [monotonicity #81]: #83 +#87 := [monotonicity #84]: #86 +#69 := [asserted]: #16 +#90 := [mp #69 #87]: #85 +#667 := (not #748) +#661 := (or #667 #82) +#410 := (* -1::Int -3::Int) +#409 := (* -1::Int -5::Int) +#742 := (div #409 #410) +#743 := (* -1::Int #742) +#744 := (+ #79 #743) +#745 := (= #744 0::Int) +#741 := (div -5::Int -3::Int) +#398 := (* -1::Int #741) +#528 := (+ #79 #398) +#735 := (= #528 0::Int) +#422 := (<= -3::Int 0::Int) +#421 := (>= -5::Int 0::Int) +#425 := (or #421 #422) +#404 := (not #425) +#411 := (<= -5::Int 0::Int) +#423 := (or #411 #422) +#424 := (not #423) +#739 := (or #424 #404) +#740 := (if #739 #735 #745) +#420 := (= #79 0::Int) +#418 := (= -3::Int 0::Int) +#334 := (= -5::Int 0::Int) +#419 := (or #334 #418) +#746 := (if #419 #420 #740) +#668 := (or #667 #746) +#653 := (iff #668 #661) +#656 := (iff #661 #661) +#657 := [rewrite]: #656 +#665 := (iff #746 #82) +#673 := (if false #420 #82) +#675 := (iff #673 #82) +#664 := [rewrite]: #675 +#674 := (iff #746 #673) +#662 := (iff #740 #82) +#295 := 2::Int +#694 := (= #79 2::Int) +#682 := (if false #694 #82) +#663 := (iff #682 #82) +#660 := [rewrite]: #663 +#669 := (iff #740 #682) +#681 := (iff #745 #82) +#565 := (+ -1::Int #79) +#584 := (= #565 0::Int) +#587 := (iff #584 #82) +#588 := [rewrite]: #587 +#585 := (iff #745 #584) +#583 := (= #744 #565) +#676 := (+ #79 -1::Int) +#580 := (= #676 #565) +#582 := [rewrite]: #580 +#677 := (= #744 #676) +#679 := (= #743 -1::Int) +#688 := (* -1::Int 1::Int) +#572 := (= #688 -1::Int) +#531 := [rewrite]: #572 +#570 := (= #743 #688) +#687 := (= #742 1::Int) +#529 := (div 5::Int 3::Int) +#684 := (= #529 1::Int) +#686 := [rewrite]: #684 +#530 := (= #742 #529) +#698 := (= #410 3::Int) +#527 := [rewrite]: #698 +#697 := (= #409 5::Int) +#691 := [rewrite]: #697 +#683 := [monotonicity #691 #527]: #530 +#685 := [trans #683 #686]: #687 +#571 := [monotonicity #685]: #570 +#581 := [trans #571 #531]: #679 +#680 := [monotonicity #581]: #677 +#576 := [trans #680 #582]: #583 +#586 := [monotonicity #576]: #585 +#678 := [trans #586 #588]: #681 +#690 := (iff #735 #694) +#709 := -2::Int +#706 := (+ -2::Int #79) +#550 := (= #706 0::Int) +#695 := (iff #550 #694) +#689 := [rewrite]: #695 +#692 := (iff #735 #550) +#548 := (= #528 #706) +#699 := (+ #79 -2::Int) +#701 := (= #699 #706) +#707 := [rewrite]: #701 +#700 := (= #528 #699) +#703 := (= #398 -2::Int) +#426 := (* -1::Int 2::Int) +#713 := (= #426 -2::Int) +#702 := [rewrite]: #713 +#708 := (= #398 #426) +#710 := (= #741 2::Int) +#711 := [rewrite]: #710 +#712 := [monotonicity #711]: #708 +#704 := [trans #712 #702]: #703 +#705 := [monotonicity #704]: #700 +#549 := [trans #705 #707]: #548 +#693 := [monotonicity #549]: #692 +#696 := [trans #693 #689]: #690 +#431 := (iff #739 false) +#397 := (or false false) +#722 := (iff #397 false) +#385 := [rewrite]: #722 +#429 := (iff #739 #397) +#715 := (iff #404 false) +#1 := true +#372 := (not true) +#731 := (iff #372 false) +#734 := [rewrite]: #731 +#714 := (iff #404 #372) +#439 := (iff #425 true) +#445 := (or false true) +#716 := (iff #445 true) +#717 := [rewrite]: #716 +#446 := (iff #425 #445) +#725 := (iff #422 true) +#726 := [rewrite]: #725 +#443 := (iff #421 false) +#444 := [rewrite]: #443 +#340 := [monotonicity #444 #726]: #446 +#440 := [trans #340 #717]: #439 +#718 := [monotonicity #440]: #714 +#719 := [trans #718 #734]: #715 +#720 := (iff #424 false) +#373 := (iff #424 #372) +#730 := (iff #423 true) +#727 := (or true true) +#729 := (iff #727 true) +#367 := [rewrite]: #729 +#728 := (iff #423 #727) +#388 := (iff #411 true) +#724 := [rewrite]: #388 +#723 := [monotonicity #724 #726]: #728 +#732 := [trans #723 #367]: #730 +#733 := [monotonicity #732]: #373 +#721 := [trans #733 #734]: #720 +#430 := [monotonicity #721 #719]: #429 +#432 := [trans #430 #385]: #431 +#671 := [monotonicity #432 #696 #678]: #669 +#672 := [trans #671 #660]: #662 +#386 := (iff #419 false) +#738 := (iff #419 #397) +#401 := (iff #418 false) +#737 := [rewrite]: #401 +#736 := (iff #334 false) +#396 := [rewrite]: #736 +#381 := [monotonicity #396 #737]: #738 +#387 := [trans #381 #385]: #386 +#670 := [monotonicity #387 #672]: #674 +#666 := [trans #670 #664]: #665 +#655 := [monotonicity #666]: #653 +#658 := [trans #655 #657]: #653 +#652 := [quant-inst #70 #76]: #668 +#654 := [mp #652 #658]: #661 +[unit-resolution #654 #90 #753]: false +unsat +634111a9ccc777d6dea9f04f2dd68647c6110ae6 259 0 #2 := false decl f3 :: (-> S2 Int Int) #16 := (:var 0 Int) @@ -33522,107 +31302,80 @@ #7 := f5 #35 := (f4 f5 #14) #36 := (f3 #35 #16) -#689 := (pattern #36) +#733 := (pattern #36) #8 := 0::Int -#78 := -1::Int -#82 := (* -1::Int #16) -#79 := (* -1::Int #14) -#101 := (mod #79 #82) -#257 := (+ #36 #101) -#258 := (= #257 0::Int) +#66 := -1::Int +#70 := (* -1::Int #16) +#67 := (* -1::Int #14) +#125 := (mod #67 #70) +#240 := (+ #36 #125) +#241 := (= #240 0::Int) #37 := (mod #14 #16) -#254 := (* -1::Int #37) -#255 := (+ #36 #254) -#256 := (= #255 0::Int) -#56 := (<= #16 0::Int) -#148 := (>= #14 0::Int) -#201 := (or #148 #56) -#202 := (not #201) -#52 := (<= #14 0::Int) -#197 := (or #52 #56) -#198 := (not #197) -#205 := (or #198 #202) -#259 := (if #205 #256 #258) -#253 := (= #36 0::Int) +#237 := (* -1::Int #37) +#238 := (+ #36 #237) +#239 := (= #238 0::Int) +#92 := (<= #16 0::Int) +#99 := (>= #14 0::Int) +#184 := (or #99 #92) +#185 := (not #184) +#88 := (<= #14 0::Int) +#182 := (or #88 #92) +#183 := (not #182) +#188 := (or #183 #185) +#242 := (if #188 #239 #241) +#236 := (= #36 0::Int) #18 := (= #14 0::Int) -#260 := (if #18 #253 #259) -#252 := (= #36 #14) +#243 := (if #18 #236 #242) +#235 := (= #36 #14) #19 := (= #16 0::Int) -#261 := (if #19 #252 #260) -#690 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #689) #261) -#264 := (forall (vars (?v0 Int) (?v1 Int)) #261) -#693 := (iff #264 #690) -#691 := (iff #261 #261) -#692 := [refl]: #691 -#694 := [quant-intro #692]: #693 -#107 := (* -1::Int #101) -#221 := (if #205 #37 #107) -#224 := (if #18 0::Int #221) -#227 := (if #19 #14 #224) -#230 := (= #36 #227) -#233 := (forall (vars (?v0 Int) (?v1 Int)) #230) -#265 := (iff #233 #264) -#262 := (iff #230 #261) -#263 := [rewrite]: #262 -#266 := [quant-intro #263]: #265 -#57 := (not #56) -#151 := (not #148) -#154 := (and #151 #57) -#53 := (not #52) -#60 := (and #53 #57) -#157 := (or #60 #154) -#173 := (if #157 #37 #107) -#176 := (if #18 0::Int #173) -#179 := (if #19 #14 #176) -#182 := (= #36 #179) -#185 := (forall (vars (?v0 Int) (?v1 Int)) #182) -#234 := (iff #185 #233) -#231 := (iff #182 #230) -#228 := (= #179 #227) -#225 := (= #176 #224) -#222 := (= #173 #221) -#206 := (iff #157 #205) -#203 := (iff #154 #202) -#204 := [rewrite]: #203 -#199 := (iff #60 #198) -#200 := [rewrite]: #199 -#207 := [monotonicity #200 #204]: #206 -#223 := [monotonicity #207]: #222 -#226 := [monotonicity #223]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [quant-intro #232]: #234 -#192 := (~ #185 #185) -#147 := (~ #182 #182) -#191 := [refl]: #147 -#195 := [nnf-pos #191]: #192 -#63 := (<= 0::Int #14) -#64 := (not #63) -#72 := (and #64 #57) -#75 := (or #60 #72) -#112 := (if #75 #37 #107) -#115 := (if #18 0::Int #112) -#118 := (if #19 #14 #115) -#121 := (= #36 #118) -#124 := (forall (vars (?v0 Int) (?v1 Int)) #121) -#186 := (iff #124 #185) -#183 := (iff #121 #182) -#180 := (= #118 #179) -#177 := (= #115 #176) -#174 := (= #112 #173) -#158 := (iff #75 #157) -#155 := (iff #72 #154) -#152 := (iff #64 #151) -#149 := (iff #63 #148) -#150 := [rewrite]: #149 -#153 := [monotonicity #150]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#175 := [monotonicity #159]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [quant-intro #184]: #186 +#244 := (if #19 #235 #243) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #244) +#247 := (forall (vars (?v0 Int) (?v1 Int)) #244) +#737 := (iff #247 #734) +#735 := (iff #244 #244) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#131 := (* -1::Int #125) +#204 := (if #188 #37 #131) +#207 := (if #18 0::Int #204) +#210 := (if #19 #14 #207) +#213 := (= #36 #210) +#216 := (forall (vars (?v0 Int) (?v1 Int)) #213) +#248 := (iff #216 #247) +#245 := (iff #213 #244) +#246 := [rewrite]: #245 +#249 := [quant-intro #246]: #248 +#93 := (not #92) +#100 := (not #99) +#103 := (and #100 #93) +#89 := (not #88) +#96 := (and #89 #93) +#106 := (or #96 #103) +#151 := (if #106 #37 #131) +#154 := (if #18 0::Int #151) +#157 := (if #19 #14 #154) +#160 := (= #36 #157) +#163 := (forall (vars (?v0 Int) (?v1 Int)) #160) +#217 := (iff #163 #216) +#214 := (iff #160 #213) +#211 := (= #157 #210) +#208 := (= #154 #207) +#205 := (= #151 #204) +#189 := (iff #106 #188) +#186 := (iff #103 #185) +#187 := [rewrite]: #186 +#176 := (iff #96 #183) +#177 := [rewrite]: #176 +#190 := [monotonicity #177 #187]: #189 +#206 := [monotonicity #190]: #205 +#209 := [monotonicity #206]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [quant-intro #215]: #217 +#174 := (~ #163 #163) +#173 := (~ #160 #160) +#170 := [refl]: #173 +#175 := [nnf-pos #170]: #174 #29 := (- #16) #28 := (- #14) #38 := (mod #28 #29) @@ -33638,157 +31391,168 @@ #42 := (if #19 #14 #41) #43 := (= #36 #42) #44 := (forall (vars (?v0 Int) (?v1 Int)) #43) -#125 := (iff #44 #124) -#122 := (iff #43 #121) -#119 := (= #42 #118) -#116 := (= #41 #115) -#113 := (= #40 #112) -#110 := (= #39 #107) -#104 := (- #101) -#108 := (= #104 #107) -#109 := [rewrite]: #108 -#105 := (= #39 #104) -#102 := (= #38 #101) -#83 := (= #29 #82) -#84 := [rewrite]: #83 -#80 := (= #28 #79) -#81 := [rewrite]: #80 -#103 := [monotonicity #81 #84]: #102 -#106 := [monotonicity #103]: #105 -#111 := [trans #106 #109]: #110 -#76 := (iff #26 #75) -#73 := (iff #25 #72) -#58 := (iff #22 #57) -#59 := [rewrite]: #58 -#65 := (iff #24 #64) -#69 := (iff #64 #64) -#67 := (iff #63 #63) -#68 := [rewrite]: #67 -#70 := [monotonicity #68]: #69 -#66 := [rewrite]: #65 -#71 := [trans #66 #70]: #65 -#74 := [monotonicity #71 #59]: #73 -#61 := (iff #23 #60) -#54 := (iff #21 #53) -#55 := [rewrite]: #54 -#62 := [monotonicity #55 #59]: #61 -#77 := [monotonicity #62 #74]: #76 -#114 := [monotonicity #77 #111]: #113 -#117 := [monotonicity #114]: #116 -#120 := [monotonicity #117]: #119 -#123 := [monotonicity #120]: #122 -#126 := [quant-intro #123]: #125 -#48 := [asserted]: #44 -#127 := [mp #48 #126]: #124 -#188 := [mp #127 #187]: #185 -#196 := [mp~ #188 #195]: #185 -#236 := [mp #196 #235]: #233 -#267 := [mp #236 #266]: #264 -#695 := [mp #267 #694]: #690 +#166 := (iff #44 #163) +#136 := (if #26 #37 #131) +#139 := (if #18 0::Int #136) +#142 := (if #19 #14 #139) +#145 := (= #36 #142) +#148 := (forall (vars (?v0 Int) (?v1 Int)) #145) +#164 := (iff #148 #163) +#161 := (iff #145 #160) +#158 := (= #142 #157) +#155 := (= #139 #154) +#152 := (= #136 #151) +#107 := (iff #26 #106) +#104 := (iff #25 #103) +#94 := (iff #22 #93) +#95 := [rewrite]: #94 +#101 := (iff #24 #100) +#102 := [rewrite]: #101 +#105 := [monotonicity #102 #95]: #104 +#97 := (iff #23 #96) +#90 := (iff #21 #89) +#91 := [rewrite]: #90 +#98 := [monotonicity #91 #95]: #97 +#108 := [monotonicity #98 #105]: #107 +#153 := [monotonicity #108]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#149 := (iff #44 #148) +#146 := (iff #43 #145) +#143 := (= #42 #142) +#140 := (= #41 #139) +#137 := (= #40 #136) +#134 := (= #39 #131) +#128 := (- #125) +#132 := (= #128 #131) +#133 := [rewrite]: #132 +#129 := (= #39 #128) +#126 := (= #38 #125) +#71 := (= #29 #70) +#72 := [rewrite]: #71 +#68 := (= #28 #67) +#69 := [rewrite]: #68 +#127 := [monotonicity #69 #72]: #126 +#130 := [monotonicity #127]: #129 +#135 := [trans #130 #133]: #134 +#138 := [monotonicity #135]: #137 +#141 := [monotonicity #138]: #140 +#144 := [monotonicity #141]: #143 +#147 := [monotonicity #144]: #146 +#150 := [quant-intro #147]: #149 +#167 := [trans #150 #165]: #166 +#124 := [asserted]: #44 +#168 := [mp #124 #167]: #163 +#171 := [mp~ #168 #175]: #163 +#219 := [mp #171 #218]: #216 +#250 := [mp #219 #249]: #247 +#739 := [mp #250 #738]: #734 #9 := (f4 f5 0::Int) #10 := (f3 #9 0::Int) #11 := (= #10 0::Int) #12 := (not #11) -#46 := [asserted]: #12 -#642 := (not #690) -#483 := (or #642 #11) -#676 := (* -1::Int 0::Int) -#333 := (mod #676 #676) -#463 := (+ #10 #333) -#670 := (= #463 0::Int) -#356 := (mod 0::Int 0::Int) -#360 := (* -1::Int #356) -#339 := (+ #10 #360) -#674 := (= #339 0::Int) -#353 := (<= 0::Int 0::Int) -#346 := (>= 0::Int 0::Int) -#357 := (or #346 #353) -#358 := (not #357) -#354 := (or #353 #353) -#355 := (not #354) -#359 := (or #355 #358) -#344 := (if #359 #674 #670) -#268 := (= 0::Int 0::Int) -#345 := (if #268 #11 #344) -#677 := (if #268 #11 #345) -#484 := (or #642 #677) -#627 := (iff #484 #483) -#629 := (iff #483 #483) -#630 := [rewrite]: #629 -#641 := (iff #677 #11) -#1 := true -#638 := (if true #11 #11) -#635 := (iff #638 #11) -#640 := [rewrite]: #635 -#639 := (iff #677 #638) -#648 := (iff #345 #11) -#651 := (+ #10 #356) -#375 := (= #651 0::Int) -#646 := (if true #11 #375) -#647 := (iff #646 #11) -#644 := [rewrite]: #647 -#361 := (iff #345 #646) -#367 := (iff #344 #375) -#650 := (if false #674 #375) -#365 := (iff #650 #375) +#64 := [asserted]: #12 +#686 := (not #734) +#527 := (or #686 #11) +#720 := (* -1::Int 0::Int) +#377 := (mod #720 #720) +#507 := (+ #10 #377) +#714 := (= #507 0::Int) +#400 := (mod 0::Int 0::Int) +#404 := (* -1::Int #400) +#383 := (+ #10 #404) +#718 := (= #383 0::Int) +#397 := (<= 0::Int 0::Int) +#390 := (>= 0::Int 0::Int) +#401 := (or #390 #397) +#402 := (not #401) +#398 := (or #397 #397) +#399 := (not #398) +#403 := (or #399 #402) +#388 := (if #403 #718 #714) +#313 := (= 0::Int 0::Int) +#389 := (if #313 #11 #388) +#721 := (if #313 #11 #389) +#528 := (or #686 #721) +#671 := (iff #528 #527) +#673 := (iff #527 #527) +#674 := [rewrite]: #673 +#685 := (iff #721 #11) +#1 := true +#682 := (if true #11 #11) +#679 := (iff #682 #11) +#684 := [rewrite]: #679 +#683 := (iff #721 #682) +#692 := (iff #389 #11) +#695 := (+ #10 #400) +#419 := (= #695 0::Int) +#690 := (if true #11 #419) +#691 := (iff #690 #11) +#688 := [rewrite]: #691 +#405 := (iff #389 #690) +#411 := (iff #388 #419) +#694 := (if false #718 #419) +#409 := (iff #694 #419) +#410 := [rewrite]: #409 +#698 := (iff #388 #694) +#693 := (iff #714 #419) +#696 := (= #507 #695) +#425 := (= #377 #400) +#423 := (= #720 0::Int) +#424 := [rewrite]: #423 +#319 := [monotonicity #424 #424]: #425 +#418 := [monotonicity #319]: #696 +#697 := [monotonicity #418]: #693 +#700 := (iff #403 false) +#352 := (or false false) +#713 := (iff #352 false) +#699 := [rewrite]: #713 +#712 := (iff #403 #352) +#711 := (iff #402 false) +#360 := (not true) +#365 := (iff #360 false) #366 := [rewrite]: #365 -#654 := (iff #344 #650) -#649 := (iff #670 #375) -#652 := (= #463 #651) -#381 := (= #333 #356) -#379 := (= #676 0::Int) -#380 := [rewrite]: #379 -#274 := [monotonicity #380 #380]: #381 -#374 := [monotonicity #274]: #652 -#653 := [monotonicity #374]: #649 -#656 := (iff #359 false) -#308 := (or false false) -#669 := (iff #308 false) -#655 := [rewrite]: #669 -#668 := (iff #359 #308) -#667 := (iff #358 false) -#316 := (not true) -#321 := (iff #316 false) -#322 := [rewrite]: #321 -#302 := (iff #358 #316) -#658 := (iff #357 true) -#681 := (or true true) -#336 := (iff #681 true) -#672 := [rewrite]: #336 -#662 := (iff #357 #681) -#680 := (iff #353 true) -#675 := [rewrite]: #680 -#660 := (iff #346 true) -#661 := [rewrite]: #660 -#663 := [monotonicity #661 #675]: #662 -#664 := [trans #663 #672]: #658 -#665 := [monotonicity #664]: #302 -#307 := [trans #665 #322]: #667 -#323 := (iff #355 false) -#657 := (iff #355 #316) -#332 := (iff #354 true) -#671 := (iff #354 #681) -#331 := [monotonicity #675 #675]: #671 -#673 := [trans #331 #672]: #332 -#320 := [monotonicity #673]: #657 -#659 := [trans #320 #322]: #323 -#666 := [monotonicity #659 #307]: #668 -#378 := [trans #666 #655]: #656 -#364 := [monotonicity #378 #653]: #654 -#645 := [trans #364 #366]: #367 -#678 := (iff #268 true) -#679 := [rewrite]: #678 -#643 := [monotonicity #679 #645]: #361 -#637 := [trans #643 #644]: #648 -#634 := [monotonicity #679 #637]: #639 -#636 := [trans #634 #640]: #641 -#628 := [monotonicity #636]: #627 -#624 := [trans #628 #630]: #627 -#485 := [quant-inst #8 #8]: #484 -#625 := [mp #485 #624]: #483 -[unit-resolution #625 #46 #695]: false -01e092dd4a496cce0a16abf4e555c06c4ce61922 279 0 -unsat +#346 := (iff #402 #360) +#702 := (iff #401 true) +#725 := (or true true) +#380 := (iff #725 true) +#716 := [rewrite]: #380 +#706 := (iff #401 #725) +#724 := (iff #397 true) +#719 := [rewrite]: #724 +#704 := (iff #390 true) +#705 := [rewrite]: #704 +#707 := [monotonicity #705 #719]: #706 +#708 := [trans #707 #716]: #702 +#709 := [monotonicity #708]: #346 +#351 := [trans #709 #366]: #711 +#367 := (iff #399 false) +#701 := (iff #399 #360) +#376 := (iff #398 true) +#715 := (iff #398 #725) +#375 := [monotonicity #719 #719]: #715 +#717 := [trans #375 #716]: #376 +#364 := [monotonicity #717]: #701 +#703 := [trans #364 #366]: #367 +#710 := [monotonicity #703 #351]: #712 +#422 := [trans #710 #699]: #700 +#408 := [monotonicity #422 #697]: #698 +#689 := [trans #408 #410]: #411 +#722 := (iff #313 true) +#723 := [rewrite]: #722 +#687 := [monotonicity #723 #689]: #405 +#681 := [trans #687 #688]: #692 +#678 := [monotonicity #723 #681]: #683 +#680 := [trans #678 #684]: #685 +#672 := [monotonicity #680]: #671 +#668 := [trans #672 #674]: #671 +#529 := [quant-inst #8 #8]: #528 +#669 := [mp #529 #668]: #527 +[unit-resolution #669 #64 #739]: false +unsat +9b96f7ce486ea51d67fd20479a535702ca914b66 263 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -33798,107 +31562,80 @@ #7 := f5 #36 := (f4 f5 #15) #37 := (f3 #36 #17) -#690 := (pattern #37) +#734 := (pattern #37) #10 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #17) -#80 := (* -1::Int #15) -#102 := (mod #80 #83) -#258 := (+ #37 #102) -#259 := (= #258 0::Int) +#67 := -1::Int +#71 := (* -1::Int #17) +#68 := (* -1::Int #15) +#126 := (mod #68 #71) +#241 := (+ #37 #126) +#242 := (= #241 0::Int) #38 := (mod #15 #17) -#255 := (* -1::Int #38) -#256 := (+ #37 #255) -#257 := (= #256 0::Int) -#57 := (<= #17 0::Int) -#149 := (>= #15 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #15 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#260 := (if #206 #257 #259) -#254 := (= #37 0::Int) +#238 := (* -1::Int #38) +#239 := (+ #37 #238) +#240 := (= #239 0::Int) +#93 := (<= #17 0::Int) +#100 := (>= #15 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #15 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#243 := (if #189 #240 #242) +#237 := (= #37 0::Int) #19 := (= #15 0::Int) -#261 := (if #19 #254 #260) -#253 := (= #37 #15) +#244 := (if #19 #237 #243) +#236 := (= #37 #15) #20 := (= #17 0::Int) -#262 := (if #20 #253 #261) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #262) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#694 := (iff #265 #691) -#692 := (iff #262 #262) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#108 := (* -1::Int #102) -#222 := (if #206 #38 #108) -#225 := (if #19 0::Int #222) -#228 := (if #20 #15 #225) -#231 := (= #37 #228) -#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) -#266 := (iff #234 #265) -#263 := (iff #231 #262) -#264 := [rewrite]: #263 -#267 := [quant-intro #264]: #266 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#174 := (if #158 #38 #108) -#177 := (if #19 0::Int #174) -#180 := (if #20 #15 #177) -#183 := (= #37 #180) -#186 := (forall (vars (?v0 Int) (?v1 Int)) #183) -#235 := (iff #186 #234) -#232 := (iff #183 #231) -#229 := (= #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#224 := [monotonicity #208]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [quant-intro #233]: #235 -#195 := (~ #186 #186) -#191 := (~ #183 #183) -#194 := [refl]: #191 -#196 := [nnf-pos #194]: #195 -#64 := (<= 0::Int #15) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#113 := (if #76 #38 #108) -#116 := (if #19 0::Int #113) -#119 := (if #20 #15 #116) -#122 := (= #37 #119) -#125 := (forall (vars (?v0 Int) (?v1 Int)) #122) -#187 := (iff #125 #186) -#184 := (iff #122 #183) -#181 := (= #119 #180) -#178 := (= #116 #177) -#175 := (= #113 #174) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#176 := [monotonicity #160]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [monotonicity #182]: #184 -#188 := [quant-intro #185]: #187 +#245 := (if #20 #236 #244) +#735 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #734) #245) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#738 := (iff #248 #735) +#736 := (iff #245 #245) +#737 := [refl]: #736 +#739 := [quant-intro #737]: #738 +#132 := (* -1::Int #126) +#205 := (if #189 #38 #132) +#208 := (if #19 0::Int #205) +#211 := (if #20 #15 #208) +#214 := (= #37 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#249 := (iff #217 #248) +#246 := (iff #214 #245) +#247 := [rewrite]: #246 +#250 := [quant-intro #247]: #249 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#152 := (if #107 #38 #132) +#155 := (if #19 0::Int #152) +#158 := (if #20 #15 #155) +#161 := (= #37 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#218 := (iff #164 #217) +#215 := (iff #161 #214) +#212 := (= #158 #211) +#209 := (= #155 #208) +#206 := (= #152 #205) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#207 := [monotonicity #191]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#175 := (~ #164 #164) +#174 := (~ #161 #161) +#171 := [refl]: #174 +#176 := [nnf-pos #171]: #175 #30 := (- #17) #29 := (- #15) #39 := (mod #29 #30) @@ -33914,161 +31651,172 @@ #43 := (if #20 #15 #42) #44 := (= #37 #43) #45 := (forall (vars (?v0 Int) (?v1 Int)) #44) -#126 := (iff #45 #125) -#123 := (iff #44 #122) -#120 := (= #43 #119) -#117 := (= #42 #116) -#114 := (= #41 #113) -#111 := (= #40 #108) -#105 := (- #102) -#109 := (= #105 #108) -#110 := [rewrite]: #109 -#106 := (= #40 #105) -#103 := (= #39 #102) -#84 := (= #30 #83) -#85 := [rewrite]: #84 -#81 := (= #29 #80) -#82 := [rewrite]: #81 -#104 := [monotonicity #82 #85]: #103 -#107 := [monotonicity #104]: #106 -#112 := [trans #107 #110]: #111 -#77 := (iff #27 #76) -#74 := (iff #26 #73) -#59 := (iff #23 #58) -#60 := [rewrite]: #59 -#66 := (iff #25 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #24 #61) -#55 := (iff #22 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#115 := [monotonicity #78 #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#124 := [monotonicity #121]: #123 -#127 := [quant-intro #124]: #126 -#49 := [asserted]: #45 -#128 := [mp #49 #127]: #125 -#189 := [mp #128 #188]: #186 -#197 := [mp~ #189 #196]: #186 -#237 := [mp #197 #236]: #234 -#268 := [mp #237 #267]: #265 -#696 := [mp #268 #695]: #691 +#167 := (iff #45 #164) +#137 := (if #27 #38 #132) +#140 := (if #19 0::Int #137) +#143 := (if #20 #15 #140) +#146 := (= #37 #143) +#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) +#165 := (iff #149 #164) +#162 := (iff #146 #161) +#159 := (= #143 #158) +#156 := (= #140 #155) +#153 := (= #137 #152) +#108 := (iff #27 #107) +#105 := (iff #26 #104) +#95 := (iff #23 #94) +#96 := [rewrite]: #95 +#102 := (iff #25 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #24 #97) +#91 := (iff #22 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#154 := [monotonicity #109]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#150 := (iff #45 #149) +#147 := (iff #44 #146) +#144 := (= #43 #143) +#141 := (= #42 #140) +#138 := (= #41 #137) +#135 := (= #40 #132) +#129 := (- #126) +#133 := (= #129 #132) +#134 := [rewrite]: #133 +#130 := (= #40 #129) +#127 := (= #39 #126) +#72 := (= #30 #71) +#73 := [rewrite]: #72 +#69 := (= #29 #68) +#70 := [rewrite]: #69 +#128 := [monotonicity #70 #73]: #127 +#131 := [monotonicity #128]: #130 +#136 := [trans #131 #134]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#168 := [trans #151 #166]: #167 +#125 := [asserted]: #45 +#169 := [mp #125 #168]: #164 +#172 := [mp~ #169 #176]: #164 +#220 := [mp #172 #219]: #217 +#251 := [mp #220 #250]: #248 +#740 := [mp #251 #739]: #735 decl f6 :: Int #8 := f6 #9 := (f4 f5 f6) #11 := (f3 #9 0::Int) #12 := (= #11 f6) #13 := (not #12) -#47 := [asserted]: #13 -#485 := (not #691) -#486 := (or #485 #12) -#345 := (* -1::Int 0::Int) -#671 := (* -1::Int f6) -#346 := (mod #671 #345) -#678 := (+ #11 #346) -#679 := (= #678 0::Int) -#675 := (mod f6 0::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 0::Int 0::Int) -#360 := (>= f6 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= f6 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#680 := (if #340 #464 #679) -#355 := (= #11 0::Int) -#354 := (= f6 0::Int) -#681 := (if #354 #355 #680) -#269 := (= 0::Int 0::Int) -#676 := (if #269 #12 #681) -#628 := (or #485 #676) -#630 := (iff #628 #486) -#625 := (iff #486 #486) -#626 := [rewrite]: #625 -#643 := (iff #676 #12) -#376 := (mod #671 0::Int) -#651 := (+ #11 #376) -#366 := (= #651 0::Int) -#638 := (if #354 #355 #366) -#1 := true -#635 := (if true #12 #638) -#642 := (iff #635 #12) -#637 := [rewrite]: #642 -#636 := (iff #676 #635) -#639 := (iff #681 #638) -#645 := (iff #680 #366) -#646 := (if false #464 #366) -#644 := (iff #646 #366) -#648 := [rewrite]: #644 -#647 := (iff #680 #646) -#367 := (iff #679 #366) -#655 := (= #678 #651) -#650 := (= #346 #376) -#653 := (= #345 0::Int) -#375 := [rewrite]: #653 -#654 := [monotonicity #375]: #650 -#365 := [monotonicity #654]: #655 -#368 := [monotonicity #365]: #367 -#275 := (iff #340 false) -#657 := (or false false) -#381 := (iff #657 false) -#382 := [rewrite]: #381 -#379 := (iff #340 #657) -#670 := (iff #361 false) -#323 := (not true) -#661 := (iff #323 false) -#662 := [rewrite]: #661 -#669 := (iff #361 #323) -#308 := (iff #357 true) -#659 := (or #360 true) -#666 := (iff #659 true) -#668 := [rewrite]: #666 -#665 := (iff #357 #659) -#332 := (iff #347 true) -#337 := [rewrite]: #332 -#303 := [monotonicity #337]: #665 -#309 := [trans #303 #668]: #308 -#667 := [monotonicity #309]: #669 -#656 := [trans #667 #662]: #670 -#663 := (iff #359 false) -#324 := (iff #359 #323) -#321 := (iff #358 true) -#673 := (or #356 true) -#317 := (iff #673 true) -#658 := [rewrite]: #317 -#333 := (iff #358 #673) -#674 := [monotonicity #337]: #333 -#322 := [trans #674 #658]: #321 -#660 := [monotonicity #322]: #324 -#664 := [trans #660 #662]: #663 -#380 := [monotonicity #664 #656]: #379 -#652 := [trans #380 #382]: #275 -#362 := [monotonicity #652 #368]: #647 -#649 := [trans #362 #648]: #645 -#640 := [monotonicity #649]: #639 -#682 := (iff #269 true) -#672 := [rewrite]: #682 -#641 := [monotonicity #672 #640]: #636 -#484 := [trans #641 #637]: #643 -#631 := [monotonicity #484]: #630 -#632 := [trans #631 #626]: #630 -#629 := [quant-inst #8 #10]: #628 -#633 := [mp #629 #632]: #486 -[unit-resolution #633 #47 #696]: false -eac86f8245b94dc0d52cdc4d9e88e042a740d116 302 0 -unsat +#65 := [asserted]: #13 +#529 := (not #735) +#530 := (or #529 #12) +#389 := (* -1::Int 0::Int) +#715 := (* -1::Int f6) +#390 := (mod #715 #389) +#722 := (+ #11 #390) +#723 := (= #722 0::Int) +#719 := (mod f6 0::Int) +#721 := (* -1::Int #719) +#378 := (+ #11 #721) +#508 := (= #378 0::Int) +#391 := (<= 0::Int 0::Int) +#404 := (>= f6 0::Int) +#401 := (or #404 #391) +#405 := (not #401) +#400 := (<= f6 0::Int) +#402 := (or #400 #391) +#403 := (not #402) +#384 := (or #403 #405) +#724 := (if #384 #508 #723) +#399 := (= #11 0::Int) +#398 := (= f6 0::Int) +#725 := (if #398 #399 #724) +#314 := (= 0::Int 0::Int) +#720 := (if #314 #12 #725) +#672 := (or #529 #720) +#674 := (iff #672 #530) +#669 := (iff #530 #530) +#670 := [rewrite]: #669 +#687 := (iff #720 #12) +#420 := (mod #715 0::Int) +#695 := (+ #11 #420) +#410 := (= #695 0::Int) +#682 := (if #398 #399 #410) +#1 := true +#679 := (if true #12 #682) +#686 := (iff #679 #12) +#681 := [rewrite]: #686 +#680 := (iff #720 #679) +#683 := (iff #725 #682) +#689 := (iff #724 #410) +#690 := (if false #508 #410) +#688 := (iff #690 #410) +#692 := [rewrite]: #688 +#691 := (iff #724 #690) +#411 := (iff #723 #410) +#699 := (= #722 #695) +#694 := (= #390 #420) +#697 := (= #389 0::Int) +#419 := [rewrite]: #697 +#698 := [monotonicity #419]: #694 +#409 := [monotonicity #698]: #699 +#412 := [monotonicity #409]: #411 +#320 := (iff #384 false) +#701 := (or false false) +#425 := (iff #701 false) +#426 := [rewrite]: #425 +#423 := (iff #384 #701) +#714 := (iff #405 false) +#367 := (not true) +#705 := (iff #367 false) +#706 := [rewrite]: #705 +#713 := (iff #405 #367) +#352 := (iff #401 true) +#703 := (or #404 true) +#710 := (iff #703 true) +#712 := [rewrite]: #710 +#709 := (iff #401 #703) +#376 := (iff #391 true) +#381 := [rewrite]: #376 +#347 := [monotonicity #381]: #709 +#353 := [trans #347 #712]: #352 +#711 := [monotonicity #353]: #713 +#700 := [trans #711 #706]: #714 +#707 := (iff #403 false) +#368 := (iff #403 #367) +#365 := (iff #402 true) +#717 := (or #400 true) +#361 := (iff #717 true) +#702 := [rewrite]: #361 +#377 := (iff #402 #717) +#718 := [monotonicity #381]: #377 +#366 := [trans #718 #702]: #365 +#704 := [monotonicity #366]: #368 +#708 := [trans #704 #706]: #707 +#424 := [monotonicity #708 #700]: #423 +#696 := [trans #424 #426]: #320 +#406 := [monotonicity #696 #412]: #691 +#693 := [trans #406 #692]: #689 +#684 := [monotonicity #693]: #683 +#726 := (iff #314 true) +#716 := [rewrite]: #726 +#685 := [monotonicity #716 #684]: #680 +#528 := [trans #685 #681]: #687 +#675 := [monotonicity #528]: #674 +#676 := [trans #675 #670]: #674 +#673 := [quant-inst #8 #10]: #672 +#677 := [mp #673 #676]: #530 +[unit-resolution #677 #65 #740]: false +unsat +2c958a27762c93737a9d33717a5efe8ed61ac548 286 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -34078,107 +31826,80 @@ #7 := f5 #36 := (f4 f5 #15) #37 := (f3 #36 #17) -#689 := (pattern #37) +#733 := (pattern #37) #8 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #17) -#80 := (* -1::Int #15) -#102 := (mod #80 #83) -#258 := (+ #37 #102) -#259 := (= #258 0::Int) +#67 := -1::Int +#71 := (* -1::Int #17) +#68 := (* -1::Int #15) +#126 := (mod #68 #71) +#241 := (+ #37 #126) +#242 := (= #241 0::Int) #38 := (mod #15 #17) -#255 := (* -1::Int #38) -#256 := (+ #37 #255) -#257 := (= #256 0::Int) -#57 := (<= #17 0::Int) -#149 := (>= #15 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #15 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#260 := (if #206 #257 #259) -#254 := (= #37 0::Int) +#238 := (* -1::Int #38) +#239 := (+ #37 #238) +#240 := (= #239 0::Int) +#93 := (<= #17 0::Int) +#100 := (>= #15 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #15 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#243 := (if #189 #240 #242) +#237 := (= #37 0::Int) #19 := (= #15 0::Int) -#261 := (if #19 #254 #260) -#253 := (= #37 #15) +#244 := (if #19 #237 #243) +#236 := (= #37 #15) #20 := (= #17 0::Int) -#262 := (if #20 #253 #261) -#690 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #689) #262) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#693 := (iff #265 #690) -#691 := (iff #262 #262) -#692 := [refl]: #691 -#694 := [quant-intro #692]: #693 -#108 := (* -1::Int #102) -#222 := (if #206 #38 #108) -#225 := (if #19 0::Int #222) -#228 := (if #20 #15 #225) -#231 := (= #37 #228) -#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) -#266 := (iff #234 #265) -#263 := (iff #231 #262) -#264 := [rewrite]: #263 -#267 := [quant-intro #264]: #266 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#174 := (if #158 #38 #108) -#177 := (if #19 0::Int #174) -#180 := (if #20 #15 #177) -#183 := (= #37 #180) -#186 := (forall (vars (?v0 Int) (?v1 Int)) #183) -#235 := (iff #186 #234) -#232 := (iff #183 #231) -#229 := (= #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#224 := [monotonicity #208]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [quant-intro #233]: #235 -#193 := (~ #186 #186) -#148 := (~ #183 #183) -#192 := [refl]: #148 -#196 := [nnf-pos #192]: #193 -#64 := (<= 0::Int #15) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#113 := (if #76 #38 #108) -#116 := (if #19 0::Int #113) -#119 := (if #20 #15 #116) -#122 := (= #37 #119) -#125 := (forall (vars (?v0 Int) (?v1 Int)) #122) -#187 := (iff #125 #186) -#184 := (iff #122 #183) -#181 := (= #119 #180) -#178 := (= #116 #177) -#175 := (= #113 #174) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#176 := [monotonicity #160]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [monotonicity #182]: #184 -#188 := [quant-intro #185]: #187 +#245 := (if #20 #236 #244) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #245) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#737 := (iff #248 #734) +#735 := (iff #245 #245) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#132 := (* -1::Int #126) +#205 := (if #189 #38 #132) +#208 := (if #19 0::Int #205) +#211 := (if #20 #15 #208) +#214 := (= #37 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#249 := (iff #217 #248) +#246 := (iff #214 #245) +#247 := [rewrite]: #246 +#250 := [quant-intro #247]: #249 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#152 := (if #107 #38 #132) +#155 := (if #19 0::Int #152) +#158 := (if #20 #15 #155) +#161 := (= #37 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#218 := (iff #164 #217) +#215 := (iff #161 #214) +#212 := (= #158 #211) +#209 := (= #155 #208) +#206 := (= #152 #205) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#207 := [monotonicity #191]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#175 := (~ #164 #164) +#174 := (~ #161 #161) +#171 := [refl]: #174 +#176 := [nnf-pos #171]: #175 #30 := (- #17) #29 := (- #15) #39 := (mod #29 #30) @@ -34194,184 +31915,195 @@ #43 := (if #20 #15 #42) #44 := (= #37 #43) #45 := (forall (vars (?v0 Int) (?v1 Int)) #44) -#126 := (iff #45 #125) -#123 := (iff #44 #122) -#120 := (= #43 #119) -#117 := (= #42 #116) -#114 := (= #41 #113) -#111 := (= #40 #108) -#105 := (- #102) -#109 := (= #105 #108) -#110 := [rewrite]: #109 -#106 := (= #40 #105) -#103 := (= #39 #102) -#84 := (= #30 #83) -#85 := [rewrite]: #84 -#81 := (= #29 #80) -#82 := [rewrite]: #81 -#104 := [monotonicity #82 #85]: #103 -#107 := [monotonicity #104]: #106 -#112 := [trans #107 #110]: #111 -#77 := (iff #27 #76) -#74 := (iff #26 #73) -#59 := (iff #23 #58) -#60 := [rewrite]: #59 -#66 := (iff #25 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #24 #61) -#55 := (iff #22 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#115 := [monotonicity #78 #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#124 := [monotonicity #121]: #123 -#127 := [quant-intro #124]: #126 -#49 := [asserted]: #45 -#128 := [mp #49 #127]: #125 -#189 := [mp #128 #188]: #186 -#197 := [mp~ #189 #196]: #186 -#237 := [mp #197 #236]: #234 -#268 := [mp #237 #267]: #265 -#695 := [mp #268 #694]: #690 +#167 := (iff #45 #164) +#137 := (if #27 #38 #132) +#140 := (if #19 0::Int #137) +#143 := (if #20 #15 #140) +#146 := (= #37 #143) +#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) +#165 := (iff #149 #164) +#162 := (iff #146 #161) +#159 := (= #143 #158) +#156 := (= #140 #155) +#153 := (= #137 #152) +#108 := (iff #27 #107) +#105 := (iff #26 #104) +#95 := (iff #23 #94) +#96 := [rewrite]: #95 +#102 := (iff #25 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #24 #97) +#91 := (iff #22 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#154 := [monotonicity #109]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#150 := (iff #45 #149) +#147 := (iff #44 #146) +#144 := (= #43 #143) +#141 := (= #42 #140) +#138 := (= #41 #137) +#135 := (= #40 #132) +#129 := (- #126) +#133 := (= #129 #132) +#134 := [rewrite]: #133 +#130 := (= #40 #129) +#127 := (= #39 #126) +#72 := (= #30 #71) +#73 := [rewrite]: #72 +#69 := (= #29 #68) +#70 := [rewrite]: #69 +#128 := [monotonicity #70 #73]: #127 +#131 := [monotonicity #128]: #130 +#136 := [trans #131 #134]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#168 := [trans #151 #166]: #167 +#125 := [asserted]: #45 +#169 := [mp #125 #168]: #164 +#172 := [mp~ #169 #176]: #164 +#220 := [mp #172 #219]: #217 +#251 := [mp #220 #250]: #248 +#739 := [mp #251 #738]: #734 #10 := 1::Int #9 := (f4 f5 0::Int) #11 := (f3 #9 1::Int) #12 := (= #11 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#466 := (not #690) -#614 := (or #466 #12) -#670 := (* -1::Int 1::Int) -#463 := (* -1::Int 0::Int) -#344 := (mod #463 #670) -#345 := (+ #11 #344) -#677 := (= #345 0::Int) -#339 := (mod 0::Int 1::Int) -#674 := (* -1::Int #339) -#676 := (+ #11 #674) -#333 := (= #676 0::Int) -#355 := (<= 1::Int 0::Int) -#358 := (>= 0::Int 0::Int) -#359 := (or #358 #355) -#356 := (not #359) -#354 := (<= 0::Int 0::Int) -#346 := (or #354 #355) -#357 := (not #346) -#360 := (or #357 #356) -#678 := (if #360 #333 #677) -#353 := (= 0::Int 0::Int) -#679 := (if #353 #12 #678) -#269 := (= 1::Int 0::Int) -#680 := (if #269 #12 #679) -#516 := (or #466 #680) -#612 := (iff #516 #614) -#500 := (iff #614 #614) -#515 := [rewrite]: #500 -#506 := (iff #680 #12) -#624 := (if false #12 #12) -#632 := (iff #624 #12) -#626 := [rewrite]: #632 -#623 := (iff #680 #624) -#622 := (iff #679 #12) -#1 := true -#464 := (if true #12 #12) -#619 := (iff #464 #12) -#621 := [rewrite]: #619 -#465 := (iff #679 #464) -#633 := (iff #678 #12) -#625 := (iff #678 #624) -#629 := (iff #677 #12) -#627 := (= #345 #11) -#367 := (+ #11 0::Int) -#361 := (= #367 #11) -#643 := [rewrite]: #361 -#484 := (= #345 #367) -#642 := (= #344 0::Int) -#634 := (mod 0::Int -1::Int) -#641 := (= #634 0::Int) -#636 := [rewrite]: #641 -#635 := (= #344 #634) -#638 := (= #670 -1::Int) -#639 := [rewrite]: #638 -#654 := (= #463 0::Int) -#364 := [rewrite]: #654 -#640 := [monotonicity #364 #639]: #635 -#483 := [trans #640 #636]: #642 -#485 := [monotonicity #483]: #484 -#628 := [trans #485 #643]: #627 -#630 := [monotonicity #628]: #629 -#648 := (iff #333 #12) -#647 := (= #676 #11) -#645 := (= #676 #367) -#365 := (= #674 0::Int) -#653 := (= #674 #463) -#375 := (= #339 0::Int) -#649 := [rewrite]: #375 -#650 := [monotonicity #649]: #653 -#366 := [trans #650 #364]: #365 -#646 := [monotonicity #366]: #645 -#644 := [trans #646 #643]: #647 -#637 := [monotonicity #644]: #648 -#652 := (iff #360 false) -#379 := (or false false) -#275 := (iff #379 false) -#651 := [rewrite]: #275 -#380 := (iff #360 #379) -#656 := (iff #356 false) -#660 := (not true) -#663 := (iff #660 false) -#658 := [rewrite]: #663 -#669 := (iff #356 #660) -#668 := (iff #359 true) -#316 := (or true false) -#321 := (iff #316 true) -#322 := [rewrite]: #321 -#307 := (iff #359 #316) -#332 := (iff #355 false) -#673 := [rewrite]: #332 -#665 := (iff #358 true) -#667 := [rewrite]: #665 -#308 := [monotonicity #667 #673]: #307 -#666 := [trans #308 #322]: #668 -#655 := [monotonicity #666]: #669 -#378 := [trans #655 #658]: #656 -#664 := (iff #357 false) -#661 := (iff #357 #660) -#323 := (iff #346 true) -#657 := (iff #346 #316) -#336 := (iff #354 true) -#672 := [rewrite]: #336 -#320 := [monotonicity #672 #673]: #657 -#659 := [trans #320 #322]: #323 -#662 := [monotonicity #659]: #661 -#302 := [trans #662 #658]: #664 -#381 := [monotonicity #302 #378]: #380 -#374 := [trans #381 #651]: #652 -#631 := [monotonicity #374 #637 #630]: #625 -#462 := [trans #631 #626]: #633 -#671 := (iff #353 true) -#331 := [rewrite]: #671 -#618 := [monotonicity #331 #462]: #465 -#620 := [trans #618 #621]: #622 -#675 := (iff #269 false) -#681 := [rewrite]: #675 -#505 := [monotonicity #681 #620]: #623 -#507 := [trans #505 #626]: #506 -#615 := [monotonicity #507]: #612 -#517 := [trans #615 #515]: #612 -#611 := [quant-inst #8 #10]: #516 -#518 := [mp #611 #517]: #614 -[unit-resolution #518 #47 #695]: false -b328a65166639bc9762c0041f148bc92847217f4 303 0 -unsat +#65 := [asserted]: #13 +#510 := (not #734) +#658 := (or #510 #12) +#714 := (* -1::Int 1::Int) +#507 := (* -1::Int 0::Int) +#388 := (mod #507 #714) +#389 := (+ #11 #388) +#721 := (= #389 0::Int) +#383 := (mod 0::Int 1::Int) +#718 := (* -1::Int #383) +#720 := (+ #11 #718) +#377 := (= #720 0::Int) +#399 := (<= 1::Int 0::Int) +#402 := (>= 0::Int 0::Int) +#403 := (or #402 #399) +#400 := (not #403) +#398 := (<= 0::Int 0::Int) +#390 := (or #398 #399) +#401 := (not #390) +#404 := (or #401 #400) +#722 := (if #404 #377 #721) +#397 := (= 0::Int 0::Int) +#723 := (if #397 #12 #722) +#313 := (= 1::Int 0::Int) +#724 := (if #313 #12 #723) +#560 := (or #510 #724) +#656 := (iff #560 #658) +#544 := (iff #658 #658) +#559 := [rewrite]: #544 +#550 := (iff #724 #12) +#668 := (if false #12 #12) +#676 := (iff #668 #12) +#670 := [rewrite]: #676 +#667 := (iff #724 #668) +#666 := (iff #723 #12) +#1 := true +#508 := (if true #12 #12) +#663 := (iff #508 #12) +#665 := [rewrite]: #663 +#509 := (iff #723 #508) +#677 := (iff #722 #12) +#669 := (iff #722 #668) +#673 := (iff #721 #12) +#671 := (= #389 #11) +#411 := (+ #11 0::Int) +#405 := (= #411 #11) +#687 := [rewrite]: #405 +#528 := (= #389 #411) +#686 := (= #388 0::Int) +#678 := (mod 0::Int -1::Int) +#685 := (= #678 0::Int) +#680 := [rewrite]: #685 +#679 := (= #388 #678) +#682 := (= #714 -1::Int) +#683 := [rewrite]: #682 +#698 := (= #507 0::Int) +#408 := [rewrite]: #698 +#684 := [monotonicity #408 #683]: #679 +#527 := [trans #684 #680]: #686 +#529 := [monotonicity #527]: #528 +#672 := [trans #529 #687]: #671 +#674 := [monotonicity #672]: #673 +#692 := (iff #377 #12) +#691 := (= #720 #11) +#689 := (= #720 #411) +#409 := (= #718 0::Int) +#697 := (= #718 #507) +#419 := (= #383 0::Int) +#693 := [rewrite]: #419 +#694 := [monotonicity #693]: #697 +#410 := [trans #694 #408]: #409 +#690 := [monotonicity #410]: #689 +#688 := [trans #690 #687]: #691 +#681 := [monotonicity #688]: #692 +#696 := (iff #404 false) +#423 := (or false false) +#319 := (iff #423 false) +#695 := [rewrite]: #319 +#424 := (iff #404 #423) +#700 := (iff #400 false) +#704 := (not true) +#707 := (iff #704 false) +#702 := [rewrite]: #707 +#713 := (iff #400 #704) +#712 := (iff #403 true) +#360 := (or true false) +#365 := (iff #360 true) +#366 := [rewrite]: #365 +#351 := (iff #403 #360) +#376 := (iff #399 false) +#717 := [rewrite]: #376 +#709 := (iff #402 true) +#711 := [rewrite]: #709 +#352 := [monotonicity #711 #717]: #351 +#710 := [trans #352 #366]: #712 +#699 := [monotonicity #710]: #713 +#422 := [trans #699 #702]: #700 +#708 := (iff #401 false) +#705 := (iff #401 #704) +#367 := (iff #390 true) +#701 := (iff #390 #360) +#380 := (iff #398 true) +#716 := [rewrite]: #380 +#364 := [monotonicity #716 #717]: #701 +#703 := [trans #364 #366]: #367 +#706 := [monotonicity #703]: #705 +#346 := [trans #706 #702]: #708 +#425 := [monotonicity #346 #422]: #424 +#418 := [trans #425 #695]: #696 +#675 := [monotonicity #418 #681 #674]: #669 +#506 := [trans #675 #670]: #677 +#715 := (iff #397 true) +#375 := [rewrite]: #715 +#662 := [monotonicity #375 #506]: #509 +#664 := [trans #662 #665]: #666 +#719 := (iff #313 false) +#725 := [rewrite]: #719 +#549 := [monotonicity #725 #664]: #667 +#551 := [trans #549 #670]: #550 +#659 := [monotonicity #551]: #656 +#561 := [trans #659 #559]: #656 +#655 := [quant-inst #8 #10]: #560 +#562 := [mp #655 #561]: #658 +[unit-resolution #562 #65 #739]: false +unsat +364c5b9098e4b9b582f9064cb2808c3e5b97f78c 287 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -34381,107 +32113,80 @@ #7 := f5 #36 := (f4 f5 #15) #37 := (f3 #36 #17) -#689 := (pattern #37) +#733 := (pattern #37) #11 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #17) -#80 := (* -1::Int #15) -#102 := (mod #80 #83) -#258 := (+ #37 #102) -#259 := (= #258 0::Int) +#67 := -1::Int +#71 := (* -1::Int #17) +#68 := (* -1::Int #15) +#126 := (mod #68 #71) +#241 := (+ #37 #126) +#242 := (= #241 0::Int) #38 := (mod #15 #17) -#255 := (* -1::Int #38) -#256 := (+ #37 #255) -#257 := (= #256 0::Int) -#57 := (<= #17 0::Int) -#149 := (>= #15 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #15 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#260 := (if #206 #257 #259) -#254 := (= #37 0::Int) +#238 := (* -1::Int #38) +#239 := (+ #37 #238) +#240 := (= #239 0::Int) +#93 := (<= #17 0::Int) +#100 := (>= #15 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #15 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#243 := (if #189 #240 #242) +#237 := (= #37 0::Int) #19 := (= #15 0::Int) -#261 := (if #19 #254 #260) -#253 := (= #37 #15) +#244 := (if #19 #237 #243) +#236 := (= #37 #15) #20 := (= #17 0::Int) -#262 := (if #20 #253 #261) -#690 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #689) #262) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#693 := (iff #265 #690) -#691 := (iff #262 #262) -#692 := [refl]: #691 -#694 := [quant-intro #692]: #693 -#108 := (* -1::Int #102) -#222 := (if #206 #38 #108) -#225 := (if #19 0::Int #222) -#228 := (if #20 #15 #225) -#231 := (= #37 #228) -#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) -#266 := (iff #234 #265) -#263 := (iff #231 #262) -#264 := [rewrite]: #263 -#267 := [quant-intro #264]: #266 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#174 := (if #158 #38 #108) -#177 := (if #19 0::Int #174) -#180 := (if #20 #15 #177) -#183 := (= #37 #180) -#186 := (forall (vars (?v0 Int) (?v1 Int)) #183) -#235 := (iff #186 #234) -#232 := (iff #183 #231) -#229 := (= #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#224 := [monotonicity #208]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [quant-intro #233]: #235 -#193 := (~ #186 #186) -#148 := (~ #183 #183) -#192 := [refl]: #148 -#196 := [nnf-pos #192]: #193 -#64 := (<= 0::Int #15) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#113 := (if #76 #38 #108) -#116 := (if #19 0::Int #113) -#119 := (if #20 #15 #116) -#122 := (= #37 #119) -#125 := (forall (vars (?v0 Int) (?v1 Int)) #122) -#187 := (iff #125 #186) -#184 := (iff #122 #183) -#181 := (= #119 #180) -#178 := (= #116 #177) -#175 := (= #113 #174) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#176 := [monotonicity #160]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [monotonicity #182]: #184 -#188 := [quant-intro #185]: #187 +#245 := (if #20 #236 #244) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #245) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#737 := (iff #248 #734) +#735 := (iff #245 #245) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#132 := (* -1::Int #126) +#205 := (if #189 #38 #132) +#208 := (if #19 0::Int #205) +#211 := (if #20 #15 #208) +#214 := (= #37 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#249 := (iff #217 #248) +#246 := (iff #214 #245) +#247 := [rewrite]: #246 +#250 := [quant-intro #247]: #249 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#152 := (if #107 #38 #132) +#155 := (if #19 0::Int #152) +#158 := (if #20 #15 #155) +#161 := (= #37 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#218 := (iff #164 #217) +#215 := (iff #161 #214) +#212 := (= #158 #211) +#209 := (= #155 #208) +#206 := (= #152 #205) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#207 := [monotonicity #191]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#175 := (~ #164 #164) +#174 := (~ #161 #161) +#171 := [refl]: #174 +#176 := [nnf-pos #171]: #175 #30 := (- #17) #29 := (- #15) #39 := (mod #29 #30) @@ -34497,185 +32202,196 @@ #43 := (if #20 #15 #42) #44 := (= #37 #43) #45 := (forall (vars (?v0 Int) (?v1 Int)) #44) -#126 := (iff #45 #125) -#123 := (iff #44 #122) -#120 := (= #43 #119) -#117 := (= #42 #116) -#114 := (= #41 #113) -#111 := (= #40 #108) -#105 := (- #102) -#109 := (= #105 #108) -#110 := [rewrite]: #109 -#106 := (= #40 #105) -#103 := (= #39 #102) -#84 := (= #30 #83) -#85 := [rewrite]: #84 -#81 := (= #29 #80) -#82 := [rewrite]: #81 -#104 := [monotonicity #82 #85]: #103 -#107 := [monotonicity #104]: #106 -#112 := [trans #107 #110]: #111 -#77 := (iff #27 #76) -#74 := (iff #26 #73) -#59 := (iff #23 #58) -#60 := [rewrite]: #59 -#66 := (iff #25 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #24 #61) -#55 := (iff #22 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#115 := [monotonicity #78 #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#124 := [monotonicity #121]: #123 -#127 := [quant-intro #124]: #126 -#49 := [asserted]: #45 -#128 := [mp #49 #127]: #125 -#189 := [mp #128 #188]: #186 -#197 := [mp~ #189 #196]: #186 -#237 := [mp #197 #236]: #234 -#268 := [mp #237 #267]: #265 -#695 := [mp #268 #694]: #690 +#167 := (iff #45 #164) +#137 := (if #27 #38 #132) +#140 := (if #19 0::Int #137) +#143 := (if #20 #15 #140) +#146 := (= #37 #143) +#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) +#165 := (iff #149 #164) +#162 := (iff #146 #161) +#159 := (= #143 #158) +#156 := (= #140 #155) +#153 := (= #137 #152) +#108 := (iff #27 #107) +#105 := (iff #26 #104) +#95 := (iff #23 #94) +#96 := [rewrite]: #95 +#102 := (iff #25 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #24 #97) +#91 := (iff #22 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#154 := [monotonicity #109]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#150 := (iff #45 #149) +#147 := (iff #44 #146) +#144 := (= #43 #143) +#141 := (= #42 #140) +#138 := (= #41 #137) +#135 := (= #40 #132) +#129 := (- #126) +#133 := (= #129 #132) +#134 := [rewrite]: #133 +#130 := (= #40 #129) +#127 := (= #39 #126) +#72 := (= #30 #71) +#73 := [rewrite]: #72 +#69 := (= #29 #68) +#70 := [rewrite]: #69 +#128 := [monotonicity #70 #73]: #127 +#131 := [monotonicity #128]: #130 +#136 := [trans #131 #134]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#168 := [trans #151 #166]: #167 +#125 := [asserted]: #45 +#169 := [mp #125 #168]: #164 +#172 := [mp~ #169 #176]: #164 +#220 := [mp #172 #219]: #217 +#251 := [mp #220 #250]: #248 +#739 := [mp #251 #738]: #734 #8 := 1::Int #9 := (f4 f5 1::Int) #10 := (f3 #9 1::Int) #12 := (= #10 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#614 := (not #690) -#516 := (or #614 #12) -#333 := (* -1::Int 1::Int) -#463 := (mod #333 #333) -#670 := (+ #10 #463) -#344 := (= #670 0::Int) -#360 := (mod 1::Int 1::Int) -#339 := (* -1::Int #360) -#674 := (+ #10 #339) -#676 := (= #674 0::Int) -#354 := (<= 1::Int 0::Int) -#357 := (>= 1::Int 0::Int) -#358 := (or #357 #354) -#359 := (not #358) -#355 := (or #354 #354) -#346 := (not #355) -#356 := (or #346 #359) -#345 := (if #356 #676 #344) -#269 := (= 1::Int 0::Int) -#677 := (if #269 #12 #345) -#353 := (= #10 1::Int) -#678 := (if #269 #353 #677) -#611 := (or #614 #678) -#615 := (iff #611 #516) -#515 := (iff #516 #516) -#517 := [rewrite]: #515 -#507 := (iff #678 #12) -#622 := (if false #353 #12) -#505 := (iff #622 #12) -#506 := [rewrite]: #505 -#620 := (iff #678 #622) -#619 := (iff #677 #12) -#633 := (if false #12 #12) -#465 := (iff #633 #12) -#618 := [rewrite]: #465 -#462 := (iff #677 #633) -#632 := (iff #345 #12) -#1 := true -#629 := (if true #12 #12) -#625 := (iff #629 #12) -#631 := [rewrite]: #625 -#630 := (iff #345 #629) -#627 := (iff #344 #12) -#484 := (= #670 #10) -#365 := (+ #10 0::Int) -#645 := (= #365 #10) -#646 := [rewrite]: #645 -#642 := (= #670 #365) -#641 := (= #463 0::Int) -#638 := (mod -1::Int -1::Int) -#635 := (= #638 0::Int) -#640 := [rewrite]: #635 -#639 := (= #463 #638) -#648 := (= #333 -1::Int) -#637 := [rewrite]: #648 -#634 := [monotonicity #637 #637]: #639 -#636 := [trans #634 #640]: #641 -#483 := [monotonicity #636]: #642 -#485 := [trans #483 #646]: #484 -#628 := [monotonicity #485]: #627 -#647 := (iff #676 #12) -#361 := (= #674 #10) -#366 := (= #674 #365) -#654 := (= #339 0::Int) -#374 := (* -1::Int 0::Int) -#653 := (= #374 0::Int) -#650 := [rewrite]: #653 -#375 := (= #339 #374) -#651 := (= #360 0::Int) -#652 := [rewrite]: #651 -#649 := [monotonicity #652]: #375 -#364 := [trans #649 #650]: #654 -#367 := [monotonicity #364]: #366 -#643 := [trans #367 #646]: #361 -#644 := [monotonicity #643]: #647 -#381 := (iff #356 true) -#663 := (or true false) -#302 := (iff #663 true) -#665 := [rewrite]: #302 -#379 := (iff #356 #663) -#656 := (iff #359 false) -#308 := (not true) -#669 := (iff #308 false) -#655 := [rewrite]: #669 -#668 := (iff #359 #308) -#667 := (iff #358 true) -#658 := (iff #358 #663) -#675 := (iff #354 false) -#681 := [rewrite]: #675 -#661 := (iff #357 true) -#662 := [rewrite]: #661 -#664 := [monotonicity #662 #681]: #658 -#307 := [trans #664 #665]: #667 -#666 := [monotonicity #307]: #668 -#378 := [trans #666 #655]: #656 -#659 := (iff #346 true) -#657 := (not false) -#322 := (iff #657 true) -#323 := [rewrite]: #322 -#320 := (iff #346 #657) -#673 := (iff #355 false) -#671 := (or false false) -#672 := (iff #671 false) -#332 := [rewrite]: #672 -#331 := (iff #355 #671) -#336 := [monotonicity #681 #681]: #331 -#316 := [trans #336 #332]: #673 -#321 := [monotonicity #316]: #320 -#660 := [trans #321 #323]: #659 -#380 := [monotonicity #660 #378]: #379 -#275 := [trans #380 #665]: #381 -#624 := [monotonicity #275 #644 #628]: #630 -#626 := [trans #624 #631]: #632 -#679 := (iff #269 false) -#680 := [rewrite]: #679 -#464 := [monotonicity #680 #626]: #462 -#621 := [trans #464 #618]: #619 -#623 := [monotonicity #680 #621]: #620 -#466 := [trans #623 #506]: #507 -#500 := [monotonicity #466]: #615 -#518 := [trans #500 #517]: #615 -#612 := [quant-inst #8 #8]: #611 -#511 := [mp #612 #518]: #516 -[unit-resolution #511 #47 #695]: false -c12283e59631fb6e4322b03bf5696f9cba81cc99 314 0 -unsat +#65 := [asserted]: #13 +#658 := (not #734) +#560 := (or #658 #12) +#377 := (* -1::Int 1::Int) +#507 := (mod #377 #377) +#714 := (+ #10 #507) +#388 := (= #714 0::Int) +#404 := (mod 1::Int 1::Int) +#383 := (* -1::Int #404) +#718 := (+ #10 #383) +#720 := (= #718 0::Int) +#398 := (<= 1::Int 0::Int) +#401 := (>= 1::Int 0::Int) +#402 := (or #401 #398) +#403 := (not #402) +#399 := (or #398 #398) +#390 := (not #399) +#400 := (or #390 #403) +#389 := (if #400 #720 #388) +#313 := (= 1::Int 0::Int) +#721 := (if #313 #12 #389) +#397 := (= #10 1::Int) +#722 := (if #313 #397 #721) +#655 := (or #658 #722) +#659 := (iff #655 #560) +#559 := (iff #560 #560) +#561 := [rewrite]: #559 +#551 := (iff #722 #12) +#666 := (if false #397 #12) +#549 := (iff #666 #12) +#550 := [rewrite]: #549 +#664 := (iff #722 #666) +#663 := (iff #721 #12) +#677 := (if false #12 #12) +#509 := (iff #677 #12) +#662 := [rewrite]: #509 +#506 := (iff #721 #677) +#676 := (iff #389 #12) +#1 := true +#673 := (if true #12 #12) +#669 := (iff #673 #12) +#675 := [rewrite]: #669 +#674 := (iff #389 #673) +#671 := (iff #388 #12) +#528 := (= #714 #10) +#409 := (+ #10 0::Int) +#689 := (= #409 #10) +#690 := [rewrite]: #689 +#686 := (= #714 #409) +#685 := (= #507 0::Int) +#682 := (mod -1::Int -1::Int) +#679 := (= #682 0::Int) +#684 := [rewrite]: #679 +#683 := (= #507 #682) +#692 := (= #377 -1::Int) +#681 := [rewrite]: #692 +#678 := [monotonicity #681 #681]: #683 +#680 := [trans #678 #684]: #685 +#527 := [monotonicity #680]: #686 +#529 := [trans #527 #690]: #528 +#672 := [monotonicity #529]: #671 +#691 := (iff #720 #12) +#405 := (= #718 #10) +#410 := (= #718 #409) +#698 := (= #383 0::Int) +#418 := (* -1::Int 0::Int) +#697 := (= #418 0::Int) +#694 := [rewrite]: #697 +#419 := (= #383 #418) +#695 := (= #404 0::Int) +#696 := [rewrite]: #695 +#693 := [monotonicity #696]: #419 +#408 := [trans #693 #694]: #698 +#411 := [monotonicity #408]: #410 +#687 := [trans #411 #690]: #405 +#688 := [monotonicity #687]: #691 +#425 := (iff #400 true) +#707 := (or true false) +#346 := (iff #707 true) +#709 := [rewrite]: #346 +#423 := (iff #400 #707) +#700 := (iff #403 false) +#352 := (not true) +#713 := (iff #352 false) +#699 := [rewrite]: #713 +#712 := (iff #403 #352) +#711 := (iff #402 true) +#702 := (iff #402 #707) +#719 := (iff #398 false) +#725 := [rewrite]: #719 +#705 := (iff #401 true) +#706 := [rewrite]: #705 +#708 := [monotonicity #706 #725]: #702 +#351 := [trans #708 #709]: #711 +#710 := [monotonicity #351]: #712 +#422 := [trans #710 #699]: #700 +#703 := (iff #390 true) +#701 := (not false) +#366 := (iff #701 true) +#367 := [rewrite]: #366 +#364 := (iff #390 #701) +#717 := (iff #399 false) +#715 := (or false false) +#716 := (iff #715 false) +#376 := [rewrite]: #716 +#375 := (iff #399 #715) +#380 := [monotonicity #725 #725]: #375 +#360 := [trans #380 #376]: #717 +#365 := [monotonicity #360]: #364 +#704 := [trans #365 #367]: #703 +#424 := [monotonicity #704 #422]: #423 +#319 := [trans #424 #709]: #425 +#668 := [monotonicity #319 #688 #672]: #674 +#670 := [trans #668 #675]: #676 +#723 := (iff #313 false) +#724 := [rewrite]: #723 +#508 := [monotonicity #724 #670]: #506 +#665 := [trans #508 #662]: #663 +#667 := [monotonicity #724 #665]: #664 +#510 := [trans #667 #550]: #551 +#544 := [monotonicity #510]: #659 +#562 := [trans #544 #561]: #659 +#656 := [quant-inst #8 #8]: #655 +#555 := [mp #656 #562]: #560 +[unit-resolution #555 #65 #739]: false +unsat +0efd40b813a31e70f41afd259192cc78d55d0047 298 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -34685,107 +32401,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#690 := (pattern #38) +#733 := (pattern #38) #12 := 0::Int -#80 := -1::Int -#84 := (* -1::Int #18) -#81 := (* -1::Int #16) -#103 := (mod #81 #84) -#259 := (+ #38 #103) -#260 := (= #259 0::Int) +#68 := -1::Int +#72 := (* -1::Int #18) +#69 := (* -1::Int #16) +#127 := (mod #69 #72) +#242 := (+ #38 #127) +#243 := (= #242 0::Int) #39 := (mod #16 #18) -#256 := (* -1::Int #39) -#257 := (+ #38 #256) -#258 := (= #257 0::Int) -#58 := (<= #18 0::Int) -#150 := (>= #16 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #16 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#261 := (if #207 #258 #260) -#255 := (= #38 0::Int) +#239 := (* -1::Int #39) +#240 := (+ #38 #239) +#241 := (= #240 0::Int) +#94 := (<= #18 0::Int) +#101 := (>= #16 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #16 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#244 := (if #190 #241 #243) +#238 := (= #38 0::Int) #20 := (= #16 0::Int) -#262 := (if #20 #255 #261) -#254 := (= #38 #16) +#245 := (if #20 #238 #244) +#237 := (= #38 #16) #21 := (= #18 0::Int) -#263 := (if #21 #254 #262) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #263) -#266 := (forall (vars (?v0 Int) (?v1 Int)) #263) -#694 := (iff #266 #691) -#692 := (iff #263 #263) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#109 := (* -1::Int #103) -#223 := (if #207 #39 #109) -#226 := (if #20 0::Int #223) -#229 := (if #21 #16 #226) -#232 := (= #38 #229) -#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) -#267 := (iff #235 #266) -#264 := (iff #232 #263) -#265 := [rewrite]: #264 -#268 := [quant-intro #265]: #267 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#175 := (if #159 #39 #109) -#178 := (if #20 0::Int #175) -#181 := (if #21 #16 #178) -#184 := (= #38 #181) -#187 := (forall (vars (?v0 Int) (?v1 Int)) #184) -#236 := (iff #187 #235) -#233 := (iff #184 #232) -#230 := (= #181 #229) -#227 := (= #178 #226) -#224 := (= #175 #223) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#225 := [monotonicity #209]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [quant-intro #234]: #236 -#149 := (~ #187 #187) -#194 := (~ #184 #184) -#148 := [refl]: #194 -#197 := [nnf-pos #148]: #149 -#65 := (<= 0::Int #16) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#114 := (if #77 #39 #109) -#117 := (if #20 0::Int #114) -#120 := (if #21 #16 #117) -#123 := (= #38 #120) -#126 := (forall (vars (?v0 Int) (?v1 Int)) #123) -#188 := (iff #126 #187) -#185 := (iff #123 #184) -#182 := (= #120 #181) -#179 := (= #117 #178) -#176 := (= #114 #175) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#177 := [monotonicity #161]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [quant-intro #186]: #188 +#246 := (if #21 #237 #245) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #246) +#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) +#737 := (iff #249 #734) +#735 := (iff #246 #246) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#133 := (* -1::Int #127) +#206 := (if #190 #39 #133) +#209 := (if #20 0::Int #206) +#212 := (if #21 #16 #209) +#215 := (= #38 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#250 := (iff #218 #249) +#247 := (iff #215 #246) +#248 := [rewrite]: #247 +#251 := [quant-intro #248]: #250 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#153 := (if #108 #39 #133) +#156 := (if #20 0::Int #153) +#159 := (if #21 #16 #156) +#162 := (= #38 #159) +#165 := (forall (vars (?v0 Int) (?v1 Int)) #162) +#219 := (iff #165 #218) +#216 := (iff #162 #215) +#213 := (= #159 #212) +#210 := (= #156 #209) +#207 := (= #153 #206) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#208 := [monotonicity #192]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#176 := (~ #165 #165) +#175 := (~ #162 #162) +#172 := [refl]: #175 +#177 := [nnf-pos #172]: #176 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -34801,209 +32490,220 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#127 := (iff #46 #126) -#124 := (iff #45 #123) -#121 := (= #44 #120) -#118 := (= #43 #117) -#115 := (= #42 #114) -#112 := (= #41 #109) -#106 := (- #103) -#110 := (= #106 #109) -#111 := [rewrite]: #110 -#107 := (= #41 #106) -#104 := (= #40 #103) -#85 := (= #31 #84) -#86 := [rewrite]: #85 -#82 := (= #30 #81) -#83 := [rewrite]: #82 -#105 := [monotonicity #83 #86]: #104 -#108 := [monotonicity #105]: #107 -#113 := [trans #108 #111]: #112 -#78 := (iff #28 #77) -#75 := (iff #27 #74) -#60 := (iff #24 #59) -#61 := [rewrite]: #60 -#67 := (iff #26 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #25 #62) -#56 := (iff #23 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#116 := [monotonicity #79 #113]: #115 -#119 := [monotonicity #116]: #118 -#122 := [monotonicity #119]: #121 -#125 := [monotonicity #122]: #124 -#128 := [quant-intro #125]: #127 -#50 := [asserted]: #46 -#129 := [mp #50 #128]: #126 -#190 := [mp #129 #189]: #187 -#198 := [mp~ #190 #197]: #187 -#238 := [mp #198 #237]: #235 -#269 := [mp #238 #268]: #266 -#696 := [mp #269 #695]: #691 +#168 := (iff #46 #165) +#138 := (if #28 #39 #133) +#141 := (if #20 0::Int #138) +#144 := (if #21 #16 #141) +#147 := (= #38 #144) +#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) +#166 := (iff #150 #165) +#163 := (iff #147 #162) +#160 := (= #144 #159) +#157 := (= #141 #156) +#154 := (= #138 #153) +#109 := (iff #28 #108) +#106 := (iff #27 #105) +#96 := (iff #24 #95) +#97 := [rewrite]: #96 +#103 := (iff #26 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #25 #98) +#92 := (iff #23 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#155 := [monotonicity #110]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [quant-intro #164]: #166 +#151 := (iff #46 #150) +#148 := (iff #45 #147) +#145 := (= #44 #144) +#142 := (= #43 #141) +#139 := (= #42 #138) +#136 := (= #41 #133) +#130 := (- #127) +#134 := (= #130 #133) +#135 := [rewrite]: #134 +#131 := (= #41 #130) +#128 := (= #40 #127) +#73 := (= #31 #72) +#74 := [rewrite]: #73 +#70 := (= #30 #69) +#71 := [rewrite]: #70 +#129 := [monotonicity #71 #74]: #128 +#132 := [monotonicity #129]: #131 +#137 := [trans #132 #135]: #136 +#140 := [monotonicity #137]: #139 +#143 := [monotonicity #140]: #142 +#146 := [monotonicity #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [quant-intro #149]: #151 +#169 := [trans #152 #167]: #168 +#126 := [asserted]: #46 +#170 := [mp #126 #169]: #165 +#173 := [mp~ #170 #177]: #165 +#221 := [mp #173 #220]: #218 +#252 := [mp #221 #251]: #249 +#739 := [mp #252 #738]: #734 #10 := 1::Int #8 := 3::Int #9 := (f4 f5 3::Int) #11 := (f3 #9 1::Int) #13 := (= #11 0::Int) #14 := (not #13) -#48 := [asserted]: #14 -#520 := (not #691) -#521 := (or #520 #13) -#345 := (* -1::Int 1::Int) -#671 := (* -1::Int 3::Int) -#346 := (mod #671 #345) -#678 := (+ #11 #346) -#679 := (= #678 0::Int) -#675 := (mod 3::Int 1::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 1::Int 0::Int) -#360 := (>= 3::Int 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= 3::Int 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#680 := (if #340 #464 #679) -#355 := (= 3::Int 0::Int) -#681 := (if #355 #13 #680) -#354 := (= #11 3::Int) -#270 := (= 1::Int 0::Int) -#676 := (if #270 #354 #681) -#522 := (or #520 #676) -#524 := (iff #522 #521) -#614 := (iff #521 #521) -#618 := [rewrite]: #614 -#519 := (iff #676 #13) -#613 := (if false #354 #13) -#516 := (iff #613 #13) -#518 := [rewrite]: #516 -#616 := (iff #676 #613) -#517 := (iff #681 #13) -#506 := (if false #13 #13) -#467 := (iff #506 #13) -#615 := [rewrite]: #467 -#507 := (iff #681 #506) -#621 := (iff #680 #13) -#1 := true -#466 := (if true #13 #13) -#622 := (iff #466 #13) -#623 := [rewrite]: #622 -#619 := (iff #680 #466) -#463 := (iff #679 #13) -#627 := (= #678 #11) -#648 := (+ #11 0::Int) -#638 := (= #648 #11) -#639 := [rewrite]: #638 -#632 := (= #678 #648) -#625 := (= #346 0::Int) -#642 := -3::Int -#486 := (mod -3::Int -1::Int) -#630 := (= #486 0::Int) -#631 := [rewrite]: #630 -#628 := (= #346 #486) -#484 := (= #345 -1::Int) -#485 := [rewrite]: #484 -#637 := (= #671 -3::Int) -#643 := [rewrite]: #637 -#629 := [monotonicity #643 #485]: #628 -#626 := [trans #629 #631]: #625 -#633 := [monotonicity #626]: #632 -#634 := [trans #633 #639]: #627 -#465 := [monotonicity #634]: #463 -#636 := (iff #464 #13) -#640 := (= #334 #11) -#645 := (= #334 #648) -#362 := (= #677 0::Int) -#366 := (* -1::Int 0::Int) -#646 := (= #366 0::Int) -#647 := [rewrite]: #646 -#367 := (= #677 #366) -#655 := (= #675 0::Int) -#365 := [rewrite]: #655 -#368 := [monotonicity #365]: #367 -#644 := [trans #368 #647]: #362 -#649 := [monotonicity #644]: #645 -#635 := [trans #649 #639]: #640 -#641 := [monotonicity #635]: #636 -#654 := (iff #340 true) -#309 := (or true false) -#670 := (iff #309 true) -#656 := [rewrite]: #670 -#376 := (iff #340 #309) -#653 := (iff #361 false) -#380 := (not true) -#276 := (iff #380 false) -#652 := [rewrite]: #276 -#381 := (iff #361 #380) -#657 := (iff #357 true) -#669 := (iff #357 #309) -#674 := (iff #347 false) -#317 := [rewrite]: #674 -#668 := (iff #360 true) -#308 := [rewrite]: #668 -#667 := [monotonicity #308 #317]: #669 -#379 := [trans #667 #656]: #657 -#382 := [monotonicity #379]: #381 -#375 := [trans #382 #652]: #653 -#303 := (iff #359 true) -#662 := (not false) -#659 := (iff #662 true) -#665 := [rewrite]: #659 -#663 := (iff #359 #662) -#660 := (iff #358 false) -#658 := (or false false) -#323 := (iff #658 false) -#324 := [rewrite]: #323 -#321 := (iff #358 #658) -#673 := (iff #356 false) -#333 := [rewrite]: #673 -#322 := [monotonicity #333 #317]: #321 -#661 := [trans #322 #324]: #660 -#664 := [monotonicity #661]: #663 -#666 := [trans #664 #665]: #303 -#650 := [monotonicity #666 #375]: #376 -#651 := [trans #650 #656]: #654 -#620 := [monotonicity #651 #641 #465]: #619 -#624 := [trans #620 #623]: #621 -#332 := (iff #355 false) -#337 := [rewrite]: #332 -#508 := [monotonicity #337 #624]: #507 -#612 := [trans #508 #615]: #517 -#682 := (iff #270 false) -#672 := [rewrite]: #682 -#501 := [monotonicity #672 #612]: #616 -#512 := [trans #501 #518]: #519 -#617 := [monotonicity #512]: #524 -#605 := [trans #617 #618]: #524 -#523 := [quant-inst #8 #10]: #522 -#607 := [mp #523 #605]: #521 -[unit-resolution #607 #48 #696]: false -13a0ef36b0a684e9e6fa65ca4317572de1110ac0 310 0 -unsat +#66 := [asserted]: #14 +#563 := (not #734) +#564 := (or #563 #13) +#388 := (* -1::Int 1::Int) +#714 := (* -1::Int 3::Int) +#389 := (mod #714 #388) +#721 := (+ #11 #389) +#722 := (= #721 0::Int) +#718 := (mod 3::Int 1::Int) +#720 := (* -1::Int #718) +#377 := (+ #11 #720) +#507 := (= #377 0::Int) +#390 := (<= 1::Int 0::Int) +#403 := (>= 3::Int 0::Int) +#400 := (or #403 #390) +#404 := (not #400) +#399 := (<= 3::Int 0::Int) +#401 := (or #399 #390) +#402 := (not #401) +#383 := (or #402 #404) +#723 := (if #383 #507 #722) +#398 := (= 3::Int 0::Int) +#724 := (if #398 #13 #723) +#397 := (= #11 3::Int) +#313 := (= 1::Int 0::Int) +#719 := (if #313 #397 #724) +#565 := (or #563 #719) +#567 := (iff #565 #564) +#657 := (iff #564 #564) +#661 := [rewrite]: #657 +#562 := (iff #719 #13) +#656 := (if false #397 #13) +#559 := (iff #656 #13) +#561 := [rewrite]: #559 +#659 := (iff #719 #656) +#560 := (iff #724 #13) +#549 := (if false #13 #13) +#510 := (iff #549 #13) +#658 := [rewrite]: #510 +#550 := (iff #724 #549) +#664 := (iff #723 #13) +#1 := true +#509 := (if true #13 #13) +#665 := (iff #509 #13) +#666 := [rewrite]: #665 +#662 := (iff #723 #509) +#506 := (iff #722 #13) +#670 := (= #721 #11) +#691 := (+ #11 0::Int) +#681 := (= #691 #11) +#682 := [rewrite]: #681 +#675 := (= #721 #691) +#668 := (= #389 0::Int) +#685 := -3::Int +#529 := (mod -3::Int -1::Int) +#673 := (= #529 0::Int) +#674 := [rewrite]: #673 +#671 := (= #389 #529) +#527 := (= #388 -1::Int) +#528 := [rewrite]: #527 +#680 := (= #714 -3::Int) +#686 := [rewrite]: #680 +#672 := [monotonicity #686 #528]: #671 +#669 := [trans #672 #674]: #668 +#676 := [monotonicity #669]: #675 +#677 := [trans #676 #682]: #670 +#508 := [monotonicity #677]: #506 +#679 := (iff #507 #13) +#683 := (= #377 #11) +#688 := (= #377 #691) +#405 := (= #720 0::Int) +#409 := (* -1::Int 0::Int) +#689 := (= #409 0::Int) +#690 := [rewrite]: #689 +#410 := (= #720 #409) +#698 := (= #718 0::Int) +#408 := [rewrite]: #698 +#411 := [monotonicity #408]: #410 +#687 := [trans #411 #690]: #405 +#692 := [monotonicity #687]: #688 +#678 := [trans #692 #682]: #683 +#684 := [monotonicity #678]: #679 +#697 := (iff #383 true) +#352 := (or true false) +#713 := (iff #352 true) +#699 := [rewrite]: #713 +#419 := (iff #383 #352) +#696 := (iff #404 false) +#423 := (not true) +#319 := (iff #423 false) +#695 := [rewrite]: #319 +#424 := (iff #404 #423) +#700 := (iff #400 true) +#712 := (iff #400 #352) +#717 := (iff #390 false) +#360 := [rewrite]: #717 +#711 := (iff #403 true) +#351 := [rewrite]: #711 +#710 := [monotonicity #351 #360]: #712 +#422 := [trans #710 #699]: #700 +#425 := [monotonicity #422]: #424 +#418 := [trans #425 #695]: #696 +#346 := (iff #402 true) +#705 := (not false) +#702 := (iff #705 true) +#708 := [rewrite]: #702 +#706 := (iff #402 #705) +#703 := (iff #401 false) +#701 := (or false false) +#366 := (iff #701 false) +#367 := [rewrite]: #366 +#364 := (iff #401 #701) +#716 := (iff #399 false) +#376 := [rewrite]: #716 +#365 := [monotonicity #376 #360]: #364 +#704 := [trans #365 #367]: #703 +#707 := [monotonicity #704]: #706 +#709 := [trans #707 #708]: #346 +#693 := [monotonicity #709 #418]: #419 +#694 := [trans #693 #699]: #697 +#663 := [monotonicity #694 #684 #508]: #662 +#667 := [trans #663 #666]: #664 +#375 := (iff #398 false) +#380 := [rewrite]: #375 +#551 := [monotonicity #380 #667]: #550 +#655 := [trans #551 #658]: #560 +#725 := (iff #313 false) +#715 := [rewrite]: #725 +#544 := [monotonicity #715 #655]: #659 +#555 := [trans #544 #561]: #562 +#660 := [monotonicity #555]: #567 +#648 := [trans #660 #661]: #567 +#566 := [quant-inst #8 #10]: #565 +#650 := [mp #566 #648]: #564 +[unit-resolution #650 #66 #739]: false +unsat +1cff7727da7921a7ced79f03edcd1b205ac8b4b2 294 0 #2 := false #12 := 0::Int decl f6 :: Int #8 := f6 -#360 := (>= f6 0::Int) -#666 := (not #360) -#356 := (<= f6 0::Int) -#323 := (not #356) -#309 := (or #323 #666) -#621 := (not #309) -#80 := -1::Int -#671 := (* -1::Int f6) -#646 := (mod #671 -1::Int) +#404 := (>= f6 0::Int) +#710 := (not #404) +#400 := (<= f6 0::Int) +#367 := (not #400) +#353 := (or #367 #710) +#665 := (not #353) +#68 := -1::Int +#715 := (* -1::Int f6) +#690 := (mod #715 -1::Int) decl f3 :: (-> S2 Int Int) #10 := 1::Int decl f4 :: (-> S3 Int S2) @@ -35011,115 +32711,88 @@ #7 := f5 #9 := (f4 f5 f6) #11 := (f3 #9 1::Int) -#644 := (+ #11 #646) -#649 := (= #644 0::Int) +#688 := (+ #11 #690) +#693 := (= #688 0::Int) #13 := (= #11 0::Int) -#640 := (if #309 #13 #649) -#355 := (= f6 0::Int) -#641 := (if #355 #13 #640) +#684 := (if #353 #13 #693) +#399 := (= f6 0::Int) +#685 := (if #399 #13 #684) #18 := (:var 0 Int) #16 := (:var 1 Int) #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#690 := (pattern #38) -#84 := (* -1::Int #18) -#81 := (* -1::Int #16) -#103 := (mod #81 #84) -#259 := (+ #38 #103) -#260 := (= #259 0::Int) +#734 := (pattern #38) +#72 := (* -1::Int #18) +#69 := (* -1::Int #16) +#127 := (mod #69 #72) +#242 := (+ #38 #127) +#243 := (= #242 0::Int) #39 := (mod #16 #18) -#256 := (* -1::Int #39) -#257 := (+ #38 #256) -#258 := (= #257 0::Int) -#58 := (<= #18 0::Int) -#150 := (>= #16 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #16 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#261 := (if #207 #258 #260) -#255 := (= #38 0::Int) +#239 := (* -1::Int #39) +#240 := (+ #38 #239) +#241 := (= #240 0::Int) +#94 := (<= #18 0::Int) +#101 := (>= #16 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #16 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#244 := (if #190 #241 #243) +#238 := (= #38 0::Int) #20 := (= #16 0::Int) -#262 := (if #20 #255 #261) -#254 := (= #38 #16) +#245 := (if #20 #238 #244) +#237 := (= #38 #16) #21 := (= #18 0::Int) -#263 := (if #21 #254 #262) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #263) -#266 := (forall (vars (?v0 Int) (?v1 Int)) #263) -#694 := (iff #266 #691) -#692 := (iff #263 #263) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#109 := (* -1::Int #103) -#223 := (if #207 #39 #109) -#226 := (if #20 0::Int #223) -#229 := (if #21 #16 #226) -#232 := (= #38 #229) -#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) -#267 := (iff #235 #266) -#264 := (iff #232 #263) -#265 := [rewrite]: #264 -#268 := [quant-intro #265]: #267 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#175 := (if #159 #39 #109) -#178 := (if #20 0::Int #175) -#181 := (if #21 #16 #178) -#184 := (= #38 #181) -#187 := (forall (vars (?v0 Int) (?v1 Int)) #184) -#236 := (iff #187 #235) -#233 := (iff #184 #232) -#230 := (= #181 #229) -#227 := (= #178 #226) -#224 := (= #175 #223) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#225 := [monotonicity #209]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [quant-intro #234]: #236 -#149 := (~ #187 #187) -#192 := (~ #184 #184) -#148 := [refl]: #192 -#197 := [nnf-pos #148]: #149 -#65 := (<= 0::Int #16) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#114 := (if #77 #39 #109) -#117 := (if #20 0::Int #114) -#120 := (if #21 #16 #117) -#123 := (= #38 #120) -#126 := (forall (vars (?v0 Int) (?v1 Int)) #123) -#188 := (iff #126 #187) -#185 := (iff #123 #184) -#182 := (= #120 #181) -#179 := (= #117 #178) -#176 := (= #114 #175) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#177 := [monotonicity #161]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [quant-intro #186]: #188 +#246 := (if #21 #237 #245) +#735 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #734) #246) +#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) +#738 := (iff #249 #735) +#736 := (iff #246 #246) +#737 := [refl]: #736 +#739 := [quant-intro #737]: #738 +#133 := (* -1::Int #127) +#206 := (if #190 #39 #133) +#209 := (if #20 0::Int #206) +#212 := (if #21 #16 #209) +#215 := (= #38 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#250 := (iff #218 #249) +#247 := (iff #215 #246) +#248 := [rewrite]: #247 +#251 := [quant-intro #248]: #250 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#153 := (if #108 #39 #133) +#156 := (if #20 0::Int #153) +#159 := (if #21 #16 #156) +#162 := (= #38 #159) +#165 := (forall (vars (?v0 Int) (?v1 Int)) #162) +#219 := (iff #165 #218) +#216 := (iff #162 #215) +#213 := (= #159 #212) +#210 := (= #156 #209) +#207 := (= #153 #206) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#208 := [monotonicity #192]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#176 := (~ #165 #165) +#175 := (~ #162 #162) +#172 := [refl]: #175 +#177 := [nnf-pos #172]: #176 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -35135,173 +32808,184 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#127 := (iff #46 #126) -#124 := (iff #45 #123) -#121 := (= #44 #120) -#118 := (= #43 #117) -#115 := (= #42 #114) -#112 := (= #41 #109) -#106 := (- #103) -#110 := (= #106 #109) -#111 := [rewrite]: #110 -#107 := (= #41 #106) -#104 := (= #40 #103) -#85 := (= #31 #84) -#86 := [rewrite]: #85 -#82 := (= #30 #81) -#83 := [rewrite]: #82 -#105 := [monotonicity #83 #86]: #104 -#108 := [monotonicity #105]: #107 -#113 := [trans #108 #111]: #112 -#78 := (iff #28 #77) -#75 := (iff #27 #74) -#60 := (iff #24 #59) -#61 := [rewrite]: #60 -#67 := (iff #26 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #25 #62) -#56 := (iff #23 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#116 := [monotonicity #79 #113]: #115 -#119 := [monotonicity #116]: #118 -#122 := [monotonicity #119]: #121 -#125 := [monotonicity #122]: #124 -#128 := [quant-intro #125]: #127 -#50 := [asserted]: #46 -#129 := [mp #50 #128]: #126 -#190 := [mp #129 #189]: #187 -#198 := [mp~ #190 #197]: #187 -#238 := [mp #198 #237]: #235 -#269 := [mp #238 #268]: #266 -#696 := [mp #269 #695]: #691 -#631 := (not #691) -#625 := (or #631 #641) -#345 := (* -1::Int 1::Int) -#346 := (mod #671 #345) -#678 := (+ #11 #346) -#679 := (= #678 0::Int) -#675 := (mod f6 1::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 1::Int 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#680 := (if #340 #464 #679) -#681 := (if #355 #13 #680) -#354 := (= #11 f6) -#270 := (= 1::Int 0::Int) -#676 := (if #270 #354 #681) -#626 := (or #631 #676) -#633 := (iff #626 #625) -#634 := (iff #625 #625) -#463 := [rewrite]: #634 -#629 := (iff #676 #641) -#643 := (if false #354 #641) -#486 := (iff #643 #641) -#628 := [rewrite]: #486 -#484 := (iff #676 #643) -#642 := (iff #681 #641) -#635 := (iff #680 #640) -#638 := (iff #679 #649) -#648 := (= #678 #644) -#647 := (= #346 #646) -#367 := (= #345 -1::Int) -#368 := [rewrite]: #367 -#362 := [monotonicity #368]: #647 -#645 := [monotonicity #362]: #648 -#639 := [monotonicity #645]: #638 -#365 := (iff #464 #13) -#651 := (= #334 #11) -#653 := (+ #11 0::Int) -#650 := (= #653 #11) -#654 := [rewrite]: #650 -#375 := (= #334 #653) -#276 := (= #677 0::Int) -#657 := (* -1::Int 0::Int) -#381 := (= #657 0::Int) -#382 := [rewrite]: #381 -#379 := (= #677 #657) -#670 := (= #675 0::Int) -#656 := [rewrite]: #670 -#380 := [monotonicity #656]: #379 -#652 := [trans #380 #382]: #276 -#376 := [monotonicity #652]: #375 -#655 := [trans #376 #654]: #651 -#366 := [monotonicity #655]: #365 -#669 := (iff #340 #309) -#668 := (iff #361 #666) -#665 := (iff #357 #360) -#661 := (or #360 false) -#664 := (iff #661 #360) -#659 := [rewrite]: #664 -#662 := (iff #357 #661) -#332 := (iff #347 false) -#337 := [rewrite]: #332 -#663 := [monotonicity #337]: #662 -#303 := [trans #663 #659]: #665 -#308 := [monotonicity #303]: #668 -#324 := (iff #359 #323) -#321 := (iff #358 #356) -#673 := (or #356 false) -#317 := (iff #673 #356) -#658 := [rewrite]: #317 -#333 := (iff #358 #673) -#674 := [monotonicity #337]: #333 -#322 := [trans #674 #658]: #321 -#660 := [monotonicity #322]: #324 -#667 := [monotonicity #660 #308]: #669 -#636 := [monotonicity #667 #366 #639]: #635 -#637 := [monotonicity #636]: #642 -#682 := (iff #270 false) -#672 := [rewrite]: #682 -#485 := [monotonicity #672 #637]: #484 -#630 := [trans #485 #628]: #629 -#627 := [monotonicity #630]: #633 -#465 := [trans #627 #463]: #633 -#632 := [quant-inst #8 #10]: #626 -#466 := [mp #632 #465]: #625 -#563 := [unit-resolution #466 #696]: #641 -#520 := (not #355) -#512 := (not #641) -#564 := (or #512 #520) +#168 := (iff #46 #165) +#138 := (if #28 #39 #133) +#141 := (if #20 0::Int #138) +#144 := (if #21 #16 #141) +#147 := (= #38 #144) +#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) +#166 := (iff #150 #165) +#163 := (iff #147 #162) +#160 := (= #144 #159) +#157 := (= #141 #156) +#154 := (= #138 #153) +#109 := (iff #28 #108) +#106 := (iff #27 #105) +#96 := (iff #24 #95) +#97 := [rewrite]: #96 +#103 := (iff #26 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #25 #98) +#92 := (iff #23 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#155 := [monotonicity #110]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [quant-intro #164]: #166 +#151 := (iff #46 #150) +#148 := (iff #45 #147) +#145 := (= #44 #144) +#142 := (= #43 #141) +#139 := (= #42 #138) +#136 := (= #41 #133) +#130 := (- #127) +#134 := (= #130 #133) +#135 := [rewrite]: #134 +#131 := (= #41 #130) +#128 := (= #40 #127) +#73 := (= #31 #72) +#74 := [rewrite]: #73 +#70 := (= #30 #69) +#71 := [rewrite]: #70 +#129 := [monotonicity #71 #74]: #128 +#132 := [monotonicity #129]: #131 +#137 := [trans #132 #135]: #136 +#140 := [monotonicity #137]: #139 +#143 := [monotonicity #140]: #142 +#146 := [monotonicity #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [quant-intro #149]: #151 +#169 := [trans #152 #167]: #168 +#126 := [asserted]: #46 +#170 := [mp #126 #169]: #165 +#173 := [mp~ #170 #177]: #165 +#221 := [mp #173 #220]: #218 +#252 := [mp #221 #251]: #249 +#740 := [mp #252 #739]: #735 +#675 := (not #735) +#669 := (or #675 #685) +#389 := (* -1::Int 1::Int) +#390 := (mod #715 #389) +#722 := (+ #11 #390) +#723 := (= #722 0::Int) +#719 := (mod f6 1::Int) +#721 := (* -1::Int #719) +#378 := (+ #11 #721) +#508 := (= #378 0::Int) +#391 := (<= 1::Int 0::Int) +#401 := (or #404 #391) +#405 := (not #401) +#402 := (or #400 #391) +#403 := (not #402) +#384 := (or #403 #405) +#724 := (if #384 #508 #723) +#725 := (if #399 #13 #724) +#398 := (= #11 f6) +#314 := (= 1::Int 0::Int) +#720 := (if #314 #398 #725) +#670 := (or #675 #720) +#677 := (iff #670 #669) +#678 := (iff #669 #669) +#507 := [rewrite]: #678 +#673 := (iff #720 #685) +#687 := (if false #398 #685) +#530 := (iff #687 #685) +#672 := [rewrite]: #530 +#528 := (iff #720 #687) +#686 := (iff #725 #685) +#679 := (iff #724 #684) +#682 := (iff #723 #693) +#692 := (= #722 #688) +#691 := (= #390 #690) +#411 := (= #389 -1::Int) +#412 := [rewrite]: #411 +#406 := [monotonicity #412]: #691 +#689 := [monotonicity #406]: #692 +#683 := [monotonicity #689]: #682 +#409 := (iff #508 #13) +#695 := (= #378 #11) +#697 := (+ #11 0::Int) +#694 := (= #697 #11) +#698 := [rewrite]: #694 +#419 := (= #378 #697) +#320 := (= #721 0::Int) +#701 := (* -1::Int 0::Int) +#425 := (= #701 0::Int) +#426 := [rewrite]: #425 +#423 := (= #721 #701) +#714 := (= #719 0::Int) +#700 := [rewrite]: #714 +#424 := [monotonicity #700]: #423 +#696 := [trans #424 #426]: #320 +#420 := [monotonicity #696]: #419 +#699 := [trans #420 #698]: #695 +#410 := [monotonicity #699]: #409 +#713 := (iff #384 #353) +#712 := (iff #405 #710) +#709 := (iff #401 #404) +#705 := (or #404 false) +#708 := (iff #705 #404) +#703 := [rewrite]: #708 +#706 := (iff #401 #705) +#376 := (iff #391 false) +#381 := [rewrite]: #376 +#707 := [monotonicity #381]: #706 +#347 := [trans #707 #703]: #709 +#352 := [monotonicity #347]: #712 +#368 := (iff #403 #367) +#365 := (iff #402 #400) +#717 := (or #400 false) +#361 := (iff #717 #400) +#702 := [rewrite]: #361 +#377 := (iff #402 #717) +#718 := [monotonicity #381]: #377 +#366 := [trans #718 #702]: #365 +#704 := [monotonicity #366]: #368 +#711 := [monotonicity #704 #352]: #713 +#680 := [monotonicity #711 #410 #683]: #679 +#681 := [monotonicity #680]: #686 +#726 := (iff #314 false) +#716 := [rewrite]: #726 +#529 := [monotonicity #716 #681]: #528 +#674 := [trans #529 #672]: #673 +#671 := [monotonicity #674]: #677 +#509 := [trans #671 #507]: #677 +#676 := [quant-inst #8 #10]: #670 +#510 := [mp #676 #509]: #669 +#607 := [unit-resolution #510 #740]: #685 +#564 := (not #399) +#556 := (not #685) +#608 := (or #556 #564) #14 := (not #13) -#48 := [asserted]: #14 -#521 := (or #512 #520 #13) -#522 := [def-axiom]: #521 -#565 := [unit-resolution #522 #48]: #564 -#560 := [unit-resolution #565 #563]: #520 -#523 := (or #512 #355 #640) -#524 := [def-axiom]: #523 -#566 := [unit-resolution #524 #560 #563]: #640 -#467 := (not #640) -#552 := (or #467 #621) -#615 := (or #467 #621 #13) -#517 := [def-axiom]: #615 -#548 := [unit-resolution #517 #48]: #552 -#549 := [unit-resolution #548 #566]: #621 -#622 := (or #309 #360) -#623 := [def-axiom]: #622 -#550 := [unit-resolution #623 #549]: #360 -#619 := (or #309 #356) -#620 := [def-axiom]: #619 -#553 := [unit-resolution #620 #549]: #356 -#554 := (or #355 #323 #666) -#555 := [th-lemma arith triangle-eq]: #554 -[unit-resolution #555 #560 #553 #550]: false -1408c1de56e4c2eda00e3072d30651f219cea591 315 0 -unsat +#66 := [asserted]: #14 +#565 := (or #556 #564 #13) +#566 := [def-axiom]: #565 +#609 := [unit-resolution #566 #66]: #608 +#604 := [unit-resolution #609 #607]: #564 +#567 := (or #556 #399 #684) +#568 := [def-axiom]: #567 +#610 := [unit-resolution #568 #604 #607]: #684 +#511 := (not #684) +#596 := (or #511 #665) +#659 := (or #511 #665 #13) +#561 := [def-axiom]: #659 +#592 := [unit-resolution #561 #66]: #596 +#593 := [unit-resolution #592 #610]: #665 +#666 := (or #353 #404) +#667 := [def-axiom]: #666 +#594 := [unit-resolution #667 #593]: #404 +#663 := (or #353 #400) +#664 := [def-axiom]: #663 +#597 := [unit-resolution #664 #593]: #400 +#598 := (or #399 #367 #710) +#599 := [th-lemma arith triangle-eq]: #598 +[unit-resolution #599 #604 #597 #594]: false +unsat +d419bb3e51a007e8e5acdc900beee4c77bd2d9be 299 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -35311,107 +32995,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#702 := (pattern #38) +#746 := (pattern #38) #8 := 0::Int -#54 := -1::Int -#96 := (* -1::Int #18) -#93 := (* -1::Int #16) -#115 := (mod #93 #96) -#271 := (+ #38 #115) -#272 := (= #271 0::Int) +#67 := -1::Int +#84 := (* -1::Int #18) +#80 := (* -1::Int #16) +#139 := (mod #80 #84) +#254 := (+ #38 #139) +#255 := (= #254 0::Int) #39 := (mod #16 #18) -#268 := (* -1::Int #39) -#269 := (+ #38 #268) -#270 := (= #269 0::Int) -#71 := (<= #18 0::Int) -#162 := (>= #16 0::Int) -#215 := (or #162 #71) -#216 := (not #215) -#67 := (<= #16 0::Int) -#211 := (or #67 #71) -#212 := (not #211) -#219 := (or #212 #216) -#273 := (if #219 #270 #272) -#267 := (= #38 0::Int) +#251 := (* -1::Int #39) +#252 := (+ #38 #251) +#253 := (= #252 0::Int) +#106 := (<= #18 0::Int) +#113 := (>= #16 0::Int) +#198 := (or #113 #106) +#199 := (not #198) +#102 := (<= #16 0::Int) +#196 := (or #102 #106) +#197 := (not #196) +#202 := (or #197 #199) +#256 := (if #202 #253 #255) +#250 := (= #38 0::Int) #20 := (= #16 0::Int) -#274 := (if #20 #267 #273) -#266 := (= #38 #16) +#257 := (if #20 #250 #256) +#249 := (= #38 #16) #21 := (= #18 0::Int) -#275 := (if #21 #266 #274) -#703 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #702) #275) -#278 := (forall (vars (?v0 Int) (?v1 Int)) #275) -#706 := (iff #278 #703) -#704 := (iff #275 #275) -#705 := [refl]: #704 -#707 := [quant-intro #705]: #706 -#121 := (* -1::Int #115) -#235 := (if #219 #39 #121) -#238 := (if #20 0::Int #235) -#241 := (if #21 #16 #238) -#244 := (= #38 #241) -#247 := (forall (vars (?v0 Int) (?v1 Int)) #244) -#279 := (iff #247 #278) -#276 := (iff #244 #275) -#277 := [rewrite]: #276 -#280 := [quant-intro #277]: #279 -#72 := (not #71) -#165 := (not #162) -#168 := (and #165 #72) -#68 := (not #67) -#75 := (and #68 #72) -#171 := (or #75 #168) -#187 := (if #171 #39 #121) -#190 := (if #20 0::Int #187) -#193 := (if #21 #16 #190) -#196 := (= #38 #193) -#199 := (forall (vars (?v0 Int) (?v1 Int)) #196) -#248 := (iff #199 #247) -#245 := (iff #196 #244) -#242 := (= #193 #241) -#239 := (= #190 #238) -#236 := (= #187 #235) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#218 := [rewrite]: #217 -#213 := (iff #75 #212) -#214 := [rewrite]: #213 -#221 := [monotonicity #214 #218]: #220 -#237 := [monotonicity #221]: #236 -#240 := [monotonicity #237]: #239 -#243 := [monotonicity #240]: #242 -#246 := [monotonicity #243]: #245 -#249 := [quant-intro #246]: #248 -#208 := (~ #199 #199) -#204 := (~ #196 #196) -#207 := [refl]: #204 -#209 := [nnf-pos #207]: #208 -#78 := (<= 0::Int #16) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#126 := (if #90 #39 #121) -#129 := (if #20 0::Int #126) -#132 := (if #21 #16 #129) -#135 := (= #38 #132) -#138 := (forall (vars (?v0 Int) (?v1 Int)) #135) -#200 := (iff #138 #199) -#197 := (iff #135 #196) -#194 := (= #132 #193) -#191 := (= #129 #190) -#188 := (= #126 #187) -#172 := (iff #90 #171) -#169 := (iff #87 #168) -#166 := (iff #79 #165) -#163 := (iff #78 #162) -#164 := [rewrite]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#189 := [monotonicity #173]: #188 -#192 := [monotonicity #189]: #191 -#195 := [monotonicity #192]: #194 -#198 := [monotonicity #195]: #197 -#201 := [quant-intro #198]: #200 +#258 := (if #21 #249 #257) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #258) +#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) +#750 := (iff #261 #747) +#748 := (iff #258 #258) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#145 := (* -1::Int #139) +#218 := (if #202 #39 #145) +#221 := (if #20 0::Int #218) +#224 := (if #21 #16 #221) +#227 := (= #38 #224) +#230 := (forall (vars (?v0 Int) (?v1 Int)) #227) +#262 := (iff #230 #261) +#259 := (iff #227 #258) +#260 := [rewrite]: #259 +#263 := [quant-intro #260]: #262 +#107 := (not #106) +#114 := (not #113) +#117 := (and #114 #107) +#103 := (not #102) +#110 := (and #103 #107) +#120 := (or #110 #117) +#165 := (if #120 #39 #145) +#168 := (if #20 0::Int #165) +#171 := (if #21 #16 #168) +#174 := (= #38 #171) +#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) +#231 := (iff #177 #230) +#228 := (iff #174 #227) +#225 := (= #171 #224) +#222 := (= #168 #221) +#219 := (= #165 #218) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#201 := [rewrite]: #200 +#190 := (iff #110 #197) +#191 := [rewrite]: #190 +#204 := [monotonicity #191 #201]: #203 +#220 := [monotonicity #204]: #219 +#223 := [monotonicity #220]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [quant-intro #229]: #231 +#188 := (~ #177 #177) +#187 := (~ #174 #174) +#184 := [refl]: #187 +#189 := [nnf-pos #184]: #188 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -35427,197 +33084,208 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#139 := (iff #46 #138) -#136 := (iff #45 #135) -#133 := (= #44 #132) -#130 := (= #43 #129) -#127 := (= #42 #126) -#124 := (= #41 #121) -#118 := (- #115) -#122 := (= #118 #121) -#123 := [rewrite]: #122 -#119 := (= #41 #118) -#116 := (= #40 #115) -#97 := (= #31 #96) -#98 := [rewrite]: #97 -#94 := (= #30 #93) -#95 := [rewrite]: #94 -#117 := [monotonicity #95 #98]: #116 -#120 := [monotonicity #117]: #119 -#125 := [trans #120 #123]: #124 -#91 := (iff #28 #90) -#88 := (iff #27 #87) -#73 := (iff #24 #72) -#74 := [rewrite]: #73 -#80 := (iff #26 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) +#180 := (iff #46 #177) +#150 := (if #28 #39 #145) +#153 := (if #20 0::Int #150) +#156 := (if #21 #16 #153) +#159 := (= #38 #156) +#162 := (forall (vars (?v0 Int) (?v1 Int)) #159) +#178 := (iff #162 #177) +#175 := (iff #159 #174) +#172 := (= #156 #171) +#169 := (= #153 #168) +#166 := (= #150 #165) +#121 := (iff #28 #120) +#118 := (iff #27 #117) +#108 := (iff #24 #107) +#109 := [rewrite]: #108 +#115 := (iff #26 #114) +#116 := [rewrite]: #115 +#119 := [monotonicity #116 #109]: #118 +#111 := (iff #25 #110) +#104 := (iff #23 #103) +#105 := [rewrite]: #104 +#112 := [monotonicity #105 #109]: #111 +#122 := [monotonicity #112 #119]: #121 +#167 := [monotonicity #122]: #166 +#170 := [monotonicity #167]: #169 +#173 := [monotonicity #170]: #172 +#176 := [monotonicity #173]: #175 +#179 := [quant-intro #176]: #178 +#163 := (iff #46 #162) +#160 := (iff #45 #159) +#157 := (= #44 #156) +#154 := (= #43 #153) +#151 := (= #42 #150) +#148 := (= #41 #145) +#142 := (- #139) +#146 := (= #142 #145) +#147 := [rewrite]: #146 +#143 := (= #41 #142) +#140 := (= #40 #139) +#85 := (= #31 #84) +#86 := [rewrite]: #85 +#82 := (= #30 #80) #83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #25 #75) -#69 := (iff #23 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#128 := [monotonicity #92 #125]: #127 -#131 := [monotonicity #128]: #130 -#134 := [monotonicity #131]: #133 -#137 := [monotonicity #134]: #136 -#140 := [quant-intro #137]: #139 -#50 := [asserted]: #46 -#141 := [mp #50 #140]: #138 -#202 := [mp #141 #201]: #199 -#210 := [mp~ #202 #209]: #199 -#250 := [mp #210 #249]: #247 -#281 := [mp #250 #280]: #278 -#708 := [mp #281 #707]: #703 +#141 := [monotonicity #83 #86]: #140 +#144 := [monotonicity #141]: #143 +#149 := [trans #144 #147]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [quant-intro #161]: #163 +#181 := [trans #164 #179]: #180 +#138 := [asserted]: #46 +#182 := [mp #138 #181]: #177 +#185 := [mp~ #182 #189]: #177 +#233 := [mp #185 #232]: #230 +#264 := [mp #233 #263]: #261 +#752 := [mp #264 #751]: #747 #9 := (f4 f5 0::Int) -#57 := (f3 #9 -1::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -1::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := 1::Int #11 := (- 1::Int) #12 := (f3 #9 #11) #13 := (= #12 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #12 #57) -#55 := (= #11 -1::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#479 := (not #703) -#627 := (or #479 #60) -#683 := (* -1::Int -1::Int) -#476 := (* -1::Int 0::Int) -#357 := (mod #476 #683) -#358 := (+ #57 #357) -#690 := (= #358 0::Int) -#352 := (mod 0::Int -1::Int) -#687 := (* -1::Int #352) -#689 := (+ #57 #687) -#346 := (= #689 0::Int) -#368 := (<= -1::Int 0::Int) -#371 := (>= 0::Int 0::Int) -#372 := (or #371 #368) -#369 := (not #372) -#367 := (<= 0::Int 0::Int) -#359 := (or #367 #368) -#370 := (not #359) -#373 := (or #370 #369) -#691 := (if #373 #346 #690) -#366 := (= 0::Int 0::Int) -#692 := (if #366 #60 #691) -#282 := (= -1::Int 0::Int) -#693 := (if #282 #60 #692) -#529 := (or #479 #693) -#625 := (iff #529 #627) -#513 := (iff #627 #627) -#528 := [rewrite]: #513 -#519 := (iff #693 #60) -#637 := (if false #60 #60) -#645 := (iff #637 #60) -#639 := [rewrite]: #645 -#636 := (iff #693 #637) -#635 := (iff #692 #60) -#1 := true -#477 := (if true #60 #60) -#632 := (iff #477 #60) -#634 := [rewrite]: #632 -#478 := (iff #692 #477) -#646 := (iff #691 #60) -#638 := (iff #691 #637) -#642 := (iff #690 #60) -#640 := (= #358 #57) -#380 := (+ #57 0::Int) -#374 := (= #380 #57) -#656 := [rewrite]: #374 -#497 := (= #358 #380) -#655 := (= #357 0::Int) -#647 := (mod 0::Int 1::Int) -#654 := (= #647 0::Int) -#649 := [rewrite]: #654 -#648 := (= #357 #647) -#651 := (= #683 1::Int) -#652 := [rewrite]: #651 -#667 := (= #476 0::Int) -#377 := [rewrite]: #667 -#653 := [monotonicity #377 #652]: #648 -#496 := [trans #653 #649]: #655 -#498 := [monotonicity #496]: #497 -#641 := [trans #498 #656]: #640 -#643 := [monotonicity #641]: #642 -#661 := (iff #346 #60) -#660 := (= #689 #57) -#658 := (= #689 #380) -#378 := (= #687 0::Int) -#666 := (= #687 #476) -#388 := (= #352 0::Int) -#662 := [rewrite]: #388 -#663 := [monotonicity #662]: #666 -#379 := [trans #663 #377]: #378 -#659 := [monotonicity #379]: #658 -#657 := [trans #659 #656]: #660 -#650 := [monotonicity #657]: #661 -#665 := (iff #373 false) -#392 := (or false false) -#288 := (iff #392 false) -#664 := [rewrite]: #288 -#393 := (iff #373 #392) -#669 := (iff #369 false) -#673 := (not true) -#676 := (iff #673 false) -#671 := [rewrite]: #676 -#682 := (iff #369 #673) -#681 := (iff #372 true) -#329 := (or true true) -#334 := (iff #329 true) -#335 := [rewrite]: #334 -#320 := (iff #372 #329) -#345 := (iff #368 true) -#686 := [rewrite]: #345 -#678 := (iff #371 true) -#680 := [rewrite]: #678 -#321 := [monotonicity #680 #686]: #320 -#679 := [trans #321 #335]: #681 -#668 := [monotonicity #679]: #682 -#391 := [trans #668 #671]: #669 -#677 := (iff #370 false) -#674 := (iff #370 #673) -#336 := (iff #359 true) -#670 := (iff #359 #329) -#349 := (iff #367 true) -#685 := [rewrite]: #349 -#333 := [monotonicity #685 #686]: #670 -#672 := [trans #333 #335]: #336 -#675 := [monotonicity #672]: #674 -#315 := [trans #675 #671]: #677 -#394 := [monotonicity #315 #391]: #393 -#387 := [trans #394 #664]: #665 -#644 := [monotonicity #387 #650 #643]: #638 -#475 := [trans #644 #639]: #646 -#684 := (iff #366 true) -#344 := [rewrite]: #684 -#631 := [monotonicity #344 #475]: #478 -#633 := [trans #631 #634]: #635 -#688 := (iff #282 false) -#694 := [rewrite]: #688 -#518 := [monotonicity #694 #633]: #636 -#520 := [trans #518 #639]: #519 -#628 := [monotonicity #520]: #625 -#530 := [trans #628 #528]: #625 -#624 := [quant-inst #8 #54]: #529 -#531 := [mp #624 #530]: #627 -[unit-resolution #531 #66 #708]: false -d3eb3a34e82f6e4956530fdf12a1b5f1a3da5b8d 322 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #12 #70) +#68 := (= #11 -1::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#523 := (not #747) +#671 := (or #523 #73) +#727 := (* -1::Int -1::Int) +#520 := (* -1::Int 0::Int) +#401 := (mod #520 #727) +#402 := (+ #70 #401) +#734 := (= #402 0::Int) +#396 := (mod 0::Int -1::Int) +#731 := (* -1::Int #396) +#733 := (+ #70 #731) +#390 := (= #733 0::Int) +#412 := (<= -1::Int 0::Int) +#415 := (>= 0::Int 0::Int) +#416 := (or #415 #412) +#413 := (not #416) +#411 := (<= 0::Int 0::Int) +#403 := (or #411 #412) +#414 := (not #403) +#417 := (or #414 #413) +#735 := (if #417 #390 #734) +#410 := (= 0::Int 0::Int) +#736 := (if #410 #73 #735) +#326 := (= -1::Int 0::Int) +#737 := (if #326 #73 #736) +#573 := (or #523 #737) +#669 := (iff #573 #671) +#557 := (iff #671 #671) +#572 := [rewrite]: #557 +#563 := (iff #737 #73) +#681 := (if false #73 #73) +#689 := (iff #681 #73) +#683 := [rewrite]: #689 +#680 := (iff #737 #681) +#679 := (iff #736 #73) +#1 := true +#521 := (if true #73 #73) +#676 := (iff #521 #73) +#678 := [rewrite]: #676 +#522 := (iff #736 #521) +#690 := (iff #735 #73) +#682 := (iff #735 #681) +#686 := (iff #734 #73) +#684 := (= #402 #70) +#424 := (+ #70 0::Int) +#418 := (= #424 #70) +#700 := [rewrite]: #418 +#541 := (= #402 #424) +#699 := (= #401 0::Int) +#691 := (mod 0::Int 1::Int) +#698 := (= #691 0::Int) +#693 := [rewrite]: #698 +#692 := (= #401 #691) +#695 := (= #727 1::Int) +#696 := [rewrite]: #695 +#711 := (= #520 0::Int) +#421 := [rewrite]: #711 +#697 := [monotonicity #421 #696]: #692 +#540 := [trans #697 #693]: #699 +#542 := [monotonicity #540]: #541 +#685 := [trans #542 #700]: #684 +#687 := [monotonicity #685]: #686 +#705 := (iff #390 #73) +#704 := (= #733 #70) +#702 := (= #733 #424) +#422 := (= #731 0::Int) +#710 := (= #731 #520) +#432 := (= #396 0::Int) +#706 := [rewrite]: #432 +#707 := [monotonicity #706]: #710 +#423 := [trans #707 #421]: #422 +#703 := [monotonicity #423]: #702 +#701 := [trans #703 #700]: #704 +#694 := [monotonicity #701]: #705 +#709 := (iff #417 false) +#436 := (or false false) +#332 := (iff #436 false) +#708 := [rewrite]: #332 +#437 := (iff #417 #436) +#713 := (iff #413 false) +#717 := (not true) +#720 := (iff #717 false) +#715 := [rewrite]: #720 +#726 := (iff #413 #717) +#725 := (iff #416 true) +#373 := (or true true) +#378 := (iff #373 true) +#379 := [rewrite]: #378 +#364 := (iff #416 #373) +#389 := (iff #412 true) +#730 := [rewrite]: #389 +#722 := (iff #415 true) +#724 := [rewrite]: #722 +#365 := [monotonicity #724 #730]: #364 +#723 := [trans #365 #379]: #725 +#712 := [monotonicity #723]: #726 +#435 := [trans #712 #715]: #713 +#721 := (iff #414 false) +#718 := (iff #414 #717) +#380 := (iff #403 true) +#714 := (iff #403 #373) +#393 := (iff #411 true) +#729 := [rewrite]: #393 +#377 := [monotonicity #729 #730]: #714 +#716 := [trans #377 #379]: #380 +#719 := [monotonicity #716]: #718 +#359 := [trans #719 #715]: #721 +#438 := [monotonicity #359 #435]: #437 +#431 := [trans #438 #708]: #709 +#688 := [monotonicity #431 #694 #687]: #682 +#519 := [trans #688 #683]: #690 +#728 := (iff #410 true) +#388 := [rewrite]: #728 +#675 := [monotonicity #388 #519]: #522 +#677 := [trans #675 #678]: #679 +#732 := (iff #326 false) +#738 := [rewrite]: #732 +#562 := [monotonicity #738 #677]: #680 +#564 := [trans #562 #683]: #563 +#672 := [monotonicity #564]: #669 +#574 := [trans #672 #572]: #669 +#668 := [quant-inst #8 #67]: #573 +#575 := [mp #668 #574]: #671 +[unit-resolution #575 #81 #752]: false +unsat +4af2a0ea6f463e71e2c4b38fde6ef00565f6fb9f 306 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -35627,107 +33295,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#702 := (pattern #38) +#746 := (pattern #38) #12 := 0::Int -#54 := -1::Int -#96 := (* -1::Int #18) -#93 := (* -1::Int #16) -#115 := (mod #93 #96) -#271 := (+ #38 #115) -#272 := (= #271 0::Int) +#67 := -1::Int +#84 := (* -1::Int #18) +#80 := (* -1::Int #16) +#139 := (mod #80 #84) +#254 := (+ #38 #139) +#255 := (= #254 0::Int) #39 := (mod #16 #18) -#268 := (* -1::Int #39) -#269 := (+ #38 #268) -#270 := (= #269 0::Int) -#71 := (<= #18 0::Int) -#162 := (>= #16 0::Int) -#215 := (or #162 #71) -#216 := (not #215) -#67 := (<= #16 0::Int) -#211 := (or #67 #71) -#212 := (not #211) -#219 := (or #212 #216) -#273 := (if #219 #270 #272) -#267 := (= #38 0::Int) +#251 := (* -1::Int #39) +#252 := (+ #38 #251) +#253 := (= #252 0::Int) +#106 := (<= #18 0::Int) +#113 := (>= #16 0::Int) +#198 := (or #113 #106) +#199 := (not #198) +#102 := (<= #16 0::Int) +#196 := (or #102 #106) +#197 := (not #196) +#202 := (or #197 #199) +#256 := (if #202 #253 #255) +#250 := (= #38 0::Int) #20 := (= #16 0::Int) -#274 := (if #20 #267 #273) -#266 := (= #38 #16) +#257 := (if #20 #250 #256) +#249 := (= #38 #16) #21 := (= #18 0::Int) -#275 := (if #21 #266 #274) -#703 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #702) #275) -#278 := (forall (vars (?v0 Int) (?v1 Int)) #275) -#706 := (iff #278 #703) -#704 := (iff #275 #275) -#705 := [refl]: #704 -#707 := [quant-intro #705]: #706 -#121 := (* -1::Int #115) -#235 := (if #219 #39 #121) -#238 := (if #20 0::Int #235) -#241 := (if #21 #16 #238) -#244 := (= #38 #241) -#247 := (forall (vars (?v0 Int) (?v1 Int)) #244) -#279 := (iff #247 #278) -#276 := (iff #244 #275) -#277 := [rewrite]: #276 -#280 := [quant-intro #277]: #279 -#72 := (not #71) -#165 := (not #162) -#168 := (and #165 #72) -#68 := (not #67) -#75 := (and #68 #72) -#171 := (or #75 #168) -#187 := (if #171 #39 #121) -#190 := (if #20 0::Int #187) -#193 := (if #21 #16 #190) -#196 := (= #38 #193) -#199 := (forall (vars (?v0 Int) (?v1 Int)) #196) -#248 := (iff #199 #247) -#245 := (iff #196 #244) -#242 := (= #193 #241) -#239 := (= #190 #238) -#236 := (= #187 #235) -#220 := (iff #171 #219) -#217 := (iff #168 #216) -#218 := [rewrite]: #217 -#213 := (iff #75 #212) -#214 := [rewrite]: #213 -#221 := [monotonicity #214 #218]: #220 -#237 := [monotonicity #221]: #236 -#240 := [monotonicity #237]: #239 -#243 := [monotonicity #240]: #242 -#246 := [monotonicity #243]: #245 -#249 := [quant-intro #246]: #248 -#208 := (~ #199 #199) -#204 := (~ #196 #196) -#207 := [refl]: #204 -#209 := [nnf-pos #207]: #208 -#78 := (<= 0::Int #16) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#126 := (if #90 #39 #121) -#129 := (if #20 0::Int #126) -#132 := (if #21 #16 #129) -#135 := (= #38 #132) -#138 := (forall (vars (?v0 Int) (?v1 Int)) #135) -#200 := (iff #138 #199) -#197 := (iff #135 #196) -#194 := (= #132 #193) -#191 := (= #129 #190) -#188 := (= #126 #187) -#172 := (iff #90 #171) -#169 := (iff #87 #168) -#166 := (iff #79 #165) -#163 := (iff #78 #162) -#164 := [rewrite]: #163 -#167 := [monotonicity #164]: #166 -#170 := [monotonicity #167]: #169 -#173 := [monotonicity #170]: #172 -#189 := [monotonicity #173]: #188 -#192 := [monotonicity #189]: #191 -#195 := [monotonicity #192]: #194 -#198 := [monotonicity #195]: #197 -#201 := [quant-intro #198]: #200 +#258 := (if #21 #249 #257) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #258) +#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) +#750 := (iff #261 #747) +#748 := (iff #258 #258) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#145 := (* -1::Int #139) +#218 := (if #202 #39 #145) +#221 := (if #20 0::Int #218) +#224 := (if #21 #16 #221) +#227 := (= #38 #224) +#230 := (forall (vars (?v0 Int) (?v1 Int)) #227) +#262 := (iff #230 #261) +#259 := (iff #227 #258) +#260 := [rewrite]: #259 +#263 := [quant-intro #260]: #262 +#107 := (not #106) +#114 := (not #113) +#117 := (and #114 #107) +#103 := (not #102) +#110 := (and #103 #107) +#120 := (or #110 #117) +#165 := (if #120 #39 #145) +#168 := (if #20 0::Int #165) +#171 := (if #21 #16 #168) +#174 := (= #38 #171) +#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) +#231 := (iff #177 #230) +#228 := (iff #174 #227) +#225 := (= #171 #224) +#222 := (= #168 #221) +#219 := (= #165 #218) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#201 := [rewrite]: #200 +#190 := (iff #110 #197) +#191 := [rewrite]: #190 +#204 := [monotonicity #191 #201]: #203 +#220 := [monotonicity #204]: #219 +#223 := [monotonicity #220]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [quant-intro #229]: #231 +#188 := (~ #177 #177) +#187 := (~ #174 #174) +#184 := [refl]: #187 +#189 := [nnf-pos #184]: #188 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -35743,204 +33384,215 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#139 := (iff #46 #138) -#136 := (iff #45 #135) -#133 := (= #44 #132) -#130 := (= #43 #129) -#127 := (= #42 #126) -#124 := (= #41 #121) -#118 := (- #115) -#122 := (= #118 #121) -#123 := [rewrite]: #122 -#119 := (= #41 #118) -#116 := (= #40 #115) -#97 := (= #31 #96) -#98 := [rewrite]: #97 -#94 := (= #30 #93) -#95 := [rewrite]: #94 -#117 := [monotonicity #95 #98]: #116 -#120 := [monotonicity #117]: #119 -#125 := [trans #120 #123]: #124 -#91 := (iff #28 #90) -#88 := (iff #27 #87) -#73 := (iff #24 #72) -#74 := [rewrite]: #73 -#80 := (iff #26 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) +#180 := (iff #46 #177) +#150 := (if #28 #39 #145) +#153 := (if #20 0::Int #150) +#156 := (if #21 #16 #153) +#159 := (= #38 #156) +#162 := (forall (vars (?v0 Int) (?v1 Int)) #159) +#178 := (iff #162 #177) +#175 := (iff #159 #174) +#172 := (= #156 #171) +#169 := (= #153 #168) +#166 := (= #150 #165) +#121 := (iff #28 #120) +#118 := (iff #27 #117) +#108 := (iff #24 #107) +#109 := [rewrite]: #108 +#115 := (iff #26 #114) +#116 := [rewrite]: #115 +#119 := [monotonicity #116 #109]: #118 +#111 := (iff #25 #110) +#104 := (iff #23 #103) +#105 := [rewrite]: #104 +#112 := [monotonicity #105 #109]: #111 +#122 := [monotonicity #112 #119]: #121 +#167 := [monotonicity #122]: #166 +#170 := [monotonicity #167]: #169 +#173 := [monotonicity #170]: #172 +#176 := [monotonicity #173]: #175 +#179 := [quant-intro #176]: #178 +#163 := (iff #46 #162) +#160 := (iff #45 #159) +#157 := (= #44 #156) +#154 := (= #43 #153) +#151 := (= #42 #150) +#148 := (= #41 #145) +#142 := (- #139) +#146 := (= #142 #145) +#147 := [rewrite]: #146 +#143 := (= #41 #142) +#140 := (= #40 #139) +#85 := (= #31 #84) +#86 := [rewrite]: #85 +#82 := (= #30 #80) #83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #25 #75) -#69 := (iff #23 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#128 := [monotonicity #92 #125]: #127 -#131 := [monotonicity #128]: #130 -#134 := [monotonicity #131]: #133 -#137 := [monotonicity #134]: #136 -#140 := [quant-intro #137]: #139 -#50 := [asserted]: #46 -#141 := [mp #50 #140]: #138 -#202 := [mp #141 #201]: #199 -#210 := [mp~ #202 #209]: #199 -#250 := [mp #210 #249]: #247 -#281 := [mp #250 #280]: #278 -#708 := [mp #281 #707]: #703 +#141 := [monotonicity #83 #86]: #140 +#144 := [monotonicity #141]: #143 +#149 := [trans #144 #147]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [quant-intro #161]: #163 +#181 := [trans #164 #179]: #180 +#138 := [asserted]: #46 +#182 := [mp #138 #181]: #177 +#185 := [mp~ #182 #189]: #177 +#233 := [mp #185 #232]: #230 +#264 := [mp #233 #263]: #261 +#752 := [mp #264 #751]: #747 #8 := 1::Int #9 := (f4 f5 1::Int) -#57 := (f3 #9 -1::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -1::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := (- 1::Int) #11 := (f3 #9 #10) #13 := (= #11 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #11 #57) -#55 := (= #10 -1::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#528 := (not #703) -#530 := (or #528 #60) -#357 := (* -1::Int -1::Int) -#683 := (* -1::Int 1::Int) -#358 := (mod #683 #357) -#690 := (+ #57 #358) -#691 := (= #690 0::Int) -#687 := (mod 1::Int -1::Int) -#689 := (* -1::Int #687) -#346 := (+ #57 #689) -#476 := (= #346 0::Int) -#359 := (<= -1::Int 0::Int) -#372 := (>= 1::Int 0::Int) -#369 := (or #372 #359) -#373 := (not #369) -#368 := (<= 1::Int 0::Int) -#370 := (or #368 #359) -#371 := (not #370) -#352 := (or #371 #373) -#692 := (if #352 #476 #691) -#367 := (= 1::Int 0::Int) -#693 := (if #367 #60 #692) -#366 := (= #57 1::Int) -#282 := (= -1::Int 0::Int) -#688 := (if #282 #366 #693) -#531 := (or #528 #688) -#532 := (iff #531 #530) -#534 := (iff #530 #530) -#535 := [rewrite]: #534 -#628 := (iff #688 #60) -#479 := (if false #366 #60) -#624 := (iff #479 #60) -#625 := [rewrite]: #624 -#627 := (iff #688 #479) -#519 := (iff #693 #60) -#477 := (if false #60 #60) -#632 := (iff #477 #60) -#634 := [rewrite]: #632 -#636 := (iff #693 #477) -#635 := (iff #692 #60) -#478 := (iff #692 #477) -#646 := (iff #691 #60) -#645 := (= #690 #57) -#660 := (+ #57 0::Int) -#650 := (= #660 #57) -#651 := [rewrite]: #650 -#638 := (= #690 #660) -#643 := (= #358 0::Int) -#497 := (mod -1::Int 1::Int) -#641 := (= #497 0::Int) -#642 := [rewrite]: #641 -#498 := (= #358 #497) -#655 := (= #357 1::Int) -#496 := [rewrite]: #655 -#654 := (= #683 -1::Int) -#649 := [rewrite]: #654 -#640 := [monotonicity #649 #496]: #498 -#637 := [trans #640 #642]: #643 -#644 := [monotonicity #637]: #638 -#639 := [trans #644 #651]: #645 -#475 := [monotonicity #639]: #646 -#648 := (iff #476 #60) -#652 := (= #346 #57) -#657 := (= #346 #660) -#374 := (= #689 0::Int) -#378 := (* -1::Int 0::Int) -#658 := (= #378 0::Int) -#659 := [rewrite]: #658 -#379 := (= #689 #378) -#667 := (= #687 0::Int) -#377 := [rewrite]: #667 -#380 := [monotonicity #377]: #379 -#656 := [trans #380 #659]: #374 -#661 := [monotonicity #656]: #657 -#647 := [trans #661 #651]: #652 -#653 := [monotonicity #647]: #648 -#666 := (iff #352 false) -#664 := (or false false) -#388 := (iff #664 false) -#662 := [rewrite]: #388 -#665 := (iff #352 #664) -#394 := (iff #373 false) -#1 := true -#674 := (not true) -#671 := (iff #674 false) -#677 := [rewrite]: #671 -#392 := (iff #373 #674) -#669 := (iff #369 true) -#321 := (or true true) -#682 := (iff #321 true) -#668 := [rewrite]: #682 -#681 := (iff #369 #321) -#686 := (iff #359 true) -#329 := [rewrite]: #686 -#680 := (iff #372 true) -#320 := [rewrite]: #680 -#679 := [monotonicity #320 #329]: #681 -#391 := [trans #679 #668]: #669 -#393 := [monotonicity #391]: #392 -#288 := [trans #393 #677]: #394 -#315 := (iff #371 false) -#675 := (iff #371 #674) -#672 := (iff #370 true) -#670 := (or false true) -#335 := (iff #670 true) -#336 := [rewrite]: #335 -#333 := (iff #370 #670) -#685 := (iff #368 false) -#345 := [rewrite]: #685 -#334 := [monotonicity #345 #329]: #333 -#673 := [trans #334 #336]: #672 -#676 := [monotonicity #673]: #675 -#678 := [trans #676 #677]: #315 -#387 := [monotonicity #678 #288]: #665 -#663 := [trans #387 #662]: #666 -#631 := [monotonicity #663 #653 #475]: #478 -#633 := [trans #631 #634]: #635 -#344 := (iff #367 false) -#349 := [rewrite]: #344 -#518 := [monotonicity #349 #633]: #636 -#520 := [trans #518 #634]: #519 -#694 := (iff #282 false) -#684 := [rewrite]: #694 -#529 := [monotonicity #684 #520]: #627 -#513 := [trans #529 #625]: #628 -#533 := [monotonicity #513]: #532 -#536 := [trans #533 #535]: #532 -#524 := [quant-inst #8 #54]: #531 -#629 := [mp #524 #536]: #530 -[unit-resolution #629 #66 #708]: false -4aa0b6a1a9a2558065eff1ba9f7dadbceeb2b883 324 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #11 #70) +#68 := (= #10 -1::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#572 := (not #747) +#574 := (or #572 #73) +#401 := (* -1::Int -1::Int) +#727 := (* -1::Int 1::Int) +#402 := (mod #727 #401) +#734 := (+ #70 #402) +#735 := (= #734 0::Int) +#731 := (mod 1::Int -1::Int) +#733 := (* -1::Int #731) +#390 := (+ #70 #733) +#520 := (= #390 0::Int) +#403 := (<= -1::Int 0::Int) +#416 := (>= 1::Int 0::Int) +#413 := (or #416 #403) +#417 := (not #413) +#412 := (<= 1::Int 0::Int) +#414 := (or #412 #403) +#415 := (not #414) +#396 := (or #415 #417) +#736 := (if #396 #520 #735) +#411 := (= 1::Int 0::Int) +#737 := (if #411 #73 #736) +#410 := (= #70 1::Int) +#326 := (= -1::Int 0::Int) +#732 := (if #326 #410 #737) +#575 := (or #572 #732) +#576 := (iff #575 #574) +#578 := (iff #574 #574) +#579 := [rewrite]: #578 +#672 := (iff #732 #73) +#523 := (if false #410 #73) +#668 := (iff #523 #73) +#669 := [rewrite]: #668 +#671 := (iff #732 #523) +#563 := (iff #737 #73) +#521 := (if false #73 #73) +#676 := (iff #521 #73) +#678 := [rewrite]: #676 +#680 := (iff #737 #521) +#679 := (iff #736 #73) +#522 := (iff #736 #521) +#690 := (iff #735 #73) +#689 := (= #734 #70) +#704 := (+ #70 0::Int) +#694 := (= #704 #70) +#695 := [rewrite]: #694 +#682 := (= #734 #704) +#687 := (= #402 0::Int) +#541 := (mod -1::Int 1::Int) +#685 := (= #541 0::Int) +#686 := [rewrite]: #685 +#542 := (= #402 #541) +#699 := (= #401 1::Int) +#540 := [rewrite]: #699 +#698 := (= #727 -1::Int) +#693 := [rewrite]: #698 +#684 := [monotonicity #693 #540]: #542 +#681 := [trans #684 #686]: #687 +#688 := [monotonicity #681]: #682 +#683 := [trans #688 #695]: #689 +#519 := [monotonicity #683]: #690 +#692 := (iff #520 #73) +#696 := (= #390 #70) +#701 := (= #390 #704) +#418 := (= #733 0::Int) +#422 := (* -1::Int 0::Int) +#702 := (= #422 0::Int) +#703 := [rewrite]: #702 +#423 := (= #733 #422) +#711 := (= #731 0::Int) +#421 := [rewrite]: #711 +#424 := [monotonicity #421]: #423 +#700 := [trans #424 #703]: #418 +#705 := [monotonicity #700]: #701 +#691 := [trans #705 #695]: #696 +#697 := [monotonicity #691]: #692 +#710 := (iff #396 false) +#708 := (or false false) +#432 := (iff #708 false) +#706 := [rewrite]: #432 +#709 := (iff #396 #708) +#438 := (iff #417 false) +#1 := true +#718 := (not true) +#715 := (iff #718 false) +#721 := [rewrite]: #715 +#436 := (iff #417 #718) +#713 := (iff #413 true) +#365 := (or true true) +#726 := (iff #365 true) +#712 := [rewrite]: #726 +#725 := (iff #413 #365) +#730 := (iff #403 true) +#373 := [rewrite]: #730 +#724 := (iff #416 true) +#364 := [rewrite]: #724 +#723 := [monotonicity #364 #373]: #725 +#435 := [trans #723 #712]: #713 +#437 := [monotonicity #435]: #436 +#332 := [trans #437 #721]: #438 +#359 := (iff #415 false) +#719 := (iff #415 #718) +#716 := (iff #414 true) +#714 := (or false true) +#379 := (iff #714 true) +#380 := [rewrite]: #379 +#377 := (iff #414 #714) +#729 := (iff #412 false) +#389 := [rewrite]: #729 +#378 := [monotonicity #389 #373]: #377 +#717 := [trans #378 #380]: #716 +#720 := [monotonicity #717]: #719 +#722 := [trans #720 #721]: #359 +#431 := [monotonicity #722 #332]: #709 +#707 := [trans #431 #706]: #710 +#675 := [monotonicity #707 #697 #519]: #522 +#677 := [trans #675 #678]: #679 +#388 := (iff #411 false) +#393 := [rewrite]: #388 +#562 := [monotonicity #393 #677]: #680 +#564 := [trans #562 #678]: #563 +#738 := (iff #326 false) +#728 := [rewrite]: #738 +#573 := [monotonicity #728 #564]: #671 +#557 := [trans #573 #669]: #672 +#577 := [monotonicity #557]: #576 +#580 := [trans #577 #579]: #576 +#568 := [quant-inst #8 #67]: #575 +#673 := [mp #568 #580]: #574 +[unit-resolution #673 #81 #752]: false +unsat +6e0487fe9c651d71e634cf8c64acf5989f144ad3 308 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -35950,107 +33602,80 @@ #7 := f5 #38 := (f4 f5 #17) #39 := (f3 #38 #19) -#703 := (pattern #39) +#746 := (pattern #39) #13 := 0::Int -#55 := -1::Int -#97 := (* -1::Int #19) -#94 := (* -1::Int #17) -#116 := (mod #94 #97) -#272 := (+ #39 #116) -#273 := (= #272 0::Int) +#68 := -1::Int +#85 := (* -1::Int #19) +#81 := (* -1::Int #17) +#140 := (mod #81 #85) +#255 := (+ #39 #140) +#256 := (= #255 0::Int) #40 := (mod #17 #19) -#269 := (* -1::Int #40) -#270 := (+ #39 #269) -#271 := (= #270 0::Int) -#72 := (<= #19 0::Int) -#163 := (>= #17 0::Int) -#216 := (or #163 #72) -#217 := (not #216) -#68 := (<= #17 0::Int) -#212 := (or #68 #72) -#213 := (not #212) -#220 := (or #213 #217) -#274 := (if #220 #271 #273) -#268 := (= #39 0::Int) +#252 := (* -1::Int #40) +#253 := (+ #39 #252) +#254 := (= #253 0::Int) +#107 := (<= #19 0::Int) +#114 := (>= #17 0::Int) +#199 := (or #114 #107) +#200 := (not #199) +#103 := (<= #17 0::Int) +#197 := (or #103 #107) +#198 := (not #197) +#203 := (or #198 #200) +#257 := (if #203 #254 #256) +#251 := (= #39 0::Int) #21 := (= #17 0::Int) -#275 := (if #21 #268 #274) -#267 := (= #39 #17) +#258 := (if #21 #251 #257) +#250 := (= #39 #17) #22 := (= #19 0::Int) -#276 := (if #22 #267 #275) -#704 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #703) #276) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#707 := (iff #279 #704) -#705 := (iff #276 #276) -#706 := [refl]: #705 -#708 := [quant-intro #706]: #707 -#122 := (* -1::Int #116) -#236 := (if #220 #40 #122) -#239 := (if #21 0::Int #236) -#242 := (if #22 #17 #239) -#245 := (= #39 #242) -#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) -#280 := (iff #248 #279) -#277 := (iff #245 #276) -#278 := [rewrite]: #277 -#281 := [quant-intro #278]: #280 -#73 := (not #72) -#166 := (not #163) -#169 := (and #166 #73) -#69 := (not #68) -#76 := (and #69 #73) -#172 := (or #76 #169) -#188 := (if #172 #40 #122) -#191 := (if #21 0::Int #188) -#194 := (if #22 #17 #191) -#197 := (= #39 #194) -#200 := (forall (vars (?v0 Int) (?v1 Int)) #197) -#249 := (iff #200 #248) -#246 := (iff #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#237 := (= #188 #236) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#219 := [rewrite]: #218 -#214 := (iff #76 #213) -#215 := [rewrite]: #214 -#222 := [monotonicity #215 #219]: #221 -#238 := [monotonicity #222]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [quant-intro #247]: #249 -#162 := (~ #200 #200) -#207 := (~ #197 #197) -#161 := [refl]: #207 -#210 := [nnf-pos #161]: #162 -#79 := (<= 0::Int #17) -#80 := (not #79) -#88 := (and #80 #73) -#91 := (or #76 #88) -#127 := (if #91 #40 #122) -#130 := (if #21 0::Int #127) -#133 := (if #22 #17 #130) -#136 := (= #39 #133) -#139 := (forall (vars (?v0 Int) (?v1 Int)) #136) -#201 := (iff #139 #200) -#198 := (iff #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#189 := (= #127 #188) -#173 := (iff #91 #172) -#170 := (iff #88 #169) -#167 := (iff #80 #166) -#164 := (iff #79 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#190 := [monotonicity #174]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [quant-intro #199]: #201 +#259 := (if #22 #250 #258) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #259) +#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) +#750 := (iff #262 #747) +#748 := (iff #259 #259) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#146 := (* -1::Int #140) +#219 := (if #203 #40 #146) +#222 := (if #21 0::Int #219) +#225 := (if #22 #17 #222) +#228 := (= #39 #225) +#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#108 := (not #107) +#115 := (not #114) +#118 := (and #115 #108) +#104 := (not #103) +#111 := (and #104 #108) +#121 := (or #111 #118) +#166 := (if #121 #40 #146) +#169 := (if #21 0::Int #166) +#172 := (if #22 #17 #169) +#175 := (= #39 #172) +#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) +#232 := (iff #178 #231) +#229 := (iff #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#220 := (= #166 #219) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#202 := [rewrite]: #201 +#191 := (iff #111 #198) +#192 := [rewrite]: #191 +#205 := [monotonicity #192 #202]: #204 +#221 := [monotonicity #205]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#189 := (~ #178 #178) +#188 := (~ #175 #175) +#185 := [refl]: #188 +#190 := [nnf-pos #185]: #189 #32 := (- #19) #31 := (- #17) #41 := (mod #31 #32) @@ -36066,206 +33691,217 @@ #45 := (if #22 #17 #44) #46 := (= #39 #45) #47 := (forall (vars (?v0 Int) (?v1 Int)) #46) -#140 := (iff #47 #139) -#137 := (iff #46 #136) -#134 := (= #45 #133) -#131 := (= #44 #130) -#128 := (= #43 #127) -#125 := (= #42 #122) -#119 := (- #116) -#123 := (= #119 #122) -#124 := [rewrite]: #123 -#120 := (= #42 #119) -#117 := (= #41 #116) -#98 := (= #32 #97) -#99 := [rewrite]: #98 -#95 := (= #31 #94) -#96 := [rewrite]: #95 -#118 := [monotonicity #96 #99]: #117 -#121 := [monotonicity #118]: #120 -#126 := [trans #121 #124]: #125 -#92 := (iff #29 #91) -#89 := (iff #28 #88) -#74 := (iff #25 #73) -#75 := [rewrite]: #74 -#81 := (iff #27 #80) -#85 := (iff #80 #80) -#83 := (iff #79 #79) +#181 := (iff #47 #178) +#151 := (if #29 #40 #146) +#154 := (if #21 0::Int #151) +#157 := (if #22 #17 #154) +#160 := (= #39 #157) +#163 := (forall (vars (?v0 Int) (?v1 Int)) #160) +#179 := (iff #163 #178) +#176 := (iff #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#167 := (= #151 #166) +#122 := (iff #29 #121) +#119 := (iff #28 #118) +#109 := (iff #25 #108) +#110 := [rewrite]: #109 +#116 := (iff #27 #115) +#117 := [rewrite]: #116 +#120 := [monotonicity #117 #110]: #119 +#112 := (iff #26 #111) +#105 := (iff #24 #104) +#106 := [rewrite]: #105 +#113 := [monotonicity #106 #110]: #112 +#123 := [monotonicity #113 #120]: #122 +#168 := [monotonicity #123]: #167 +#171 := [monotonicity #168]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [quant-intro #177]: #179 +#164 := (iff #47 #163) +#161 := (iff #46 #160) +#158 := (= #45 #157) +#155 := (= #44 #154) +#152 := (= #43 #151) +#149 := (= #42 #146) +#143 := (- #140) +#147 := (= #143 #146) +#148 := [rewrite]: #147 +#144 := (= #42 #143) +#141 := (= #41 #140) +#86 := (= #32 #85) +#87 := [rewrite]: #86 +#83 := (= #31 #81) #84 := [rewrite]: #83 -#86 := [monotonicity #84]: #85 -#82 := [rewrite]: #81 -#87 := [trans #82 #86]: #81 -#90 := [monotonicity #87 #75]: #89 -#77 := (iff #26 #76) -#70 := (iff #24 #69) -#71 := [rewrite]: #70 -#78 := [monotonicity #71 #75]: #77 -#93 := [monotonicity #78 #90]: #92 -#129 := [monotonicity #93 #126]: #128 -#132 := [monotonicity #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [quant-intro #138]: #140 -#51 := [asserted]: #47 -#142 := [mp #51 #141]: #139 -#203 := [mp #142 #202]: #200 -#211 := [mp~ #203 #210]: #200 -#251 := [mp #211 #250]: #248 -#282 := [mp #251 #281]: #279 -#709 := [mp #282 #708]: #704 +#142 := [monotonicity #84 #87]: #141 +#145 := [monotonicity #142]: #144 +#150 := [trans #145 #148]: #149 +#153 := [monotonicity #150]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#182 := [trans #165 #180]: #181 +#139 := [asserted]: #47 +#183 := [mp #139 #182]: #178 +#186 := [mp~ #183 #190]: #178 +#234 := [mp #186 #233]: #231 +#265 := [mp #234 #264]: #262 +#752 := [mp #265 #751]: #747 #8 := 3::Int #9 := (f4 f5 3::Int) -#58 := (f3 #9 -1::Int) -#61 := (= #58 0::Int) -#64 := (not #61) +#71 := (f3 #9 -1::Int) +#74 := (= #71 0::Int) +#77 := (not #74) #10 := 1::Int #11 := (- 1::Int) #12 := (f3 #9 #11) #14 := (= #12 0::Int) #15 := (not #14) -#65 := (iff #15 #64) -#62 := (iff #14 #61) -#59 := (= #12 #58) -#56 := (= #11 -1::Int) -#57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60]: #62 -#66 := [monotonicity #63]: #65 -#49 := [asserted]: #15 -#67 := [mp #49 #66]: #64 -#531 := (not #704) -#532 := (or #531 #61) -#358 := (* -1::Int -1::Int) -#684 := (* -1::Int 3::Int) -#359 := (mod #684 #358) -#691 := (+ #58 #359) -#692 := (= #691 0::Int) -#688 := (mod 3::Int -1::Int) -#690 := (* -1::Int #688) -#347 := (+ #58 #690) -#477 := (= #347 0::Int) -#360 := (<= -1::Int 0::Int) -#373 := (>= 3::Int 0::Int) -#370 := (or #373 #360) -#374 := (not #370) -#369 := (<= 3::Int 0::Int) -#371 := (or #369 #360) -#372 := (not #371) -#353 := (or #372 #374) -#693 := (if #353 #477 #692) -#368 := (= 3::Int 0::Int) -#694 := (if #368 #61 #693) -#367 := (= #58 3::Int) -#283 := (= -1::Int 0::Int) -#689 := (if #283 #367 #694) -#525 := (or #531 #689) -#534 := (iff #525 #532) -#536 := (iff #532 #532) -#537 := [rewrite]: #536 -#514 := (iff #689 #61) -#628 := (if false #367 #61) -#626 := (iff #628 #61) -#629 := [rewrite]: #626 -#530 := (iff #689 #628) -#521 := (iff #694 #61) -#479 := (if false #61 #61) -#635 := (iff #479 #61) -#636 := [rewrite]: #635 -#519 := (iff #694 #479) -#634 := (iff #693 #61) -#632 := (iff #693 #479) -#476 := (iff #692 #61) -#640 := (= #691 #58) -#661 := (+ #58 0::Int) -#651 := (= #661 #58) -#652 := [rewrite]: #651 -#645 := (= #691 #661) -#638 := (= #359 0::Int) -#655 := -3::Int -#499 := (mod -3::Int 1::Int) -#643 := (= #499 0::Int) -#644 := [rewrite]: #643 -#641 := (= #359 #499) -#497 := (= #358 1::Int) -#498 := [rewrite]: #497 -#650 := (= #684 -3::Int) -#656 := [rewrite]: #650 -#642 := [monotonicity #656 #498]: #641 -#639 := [trans #642 #644]: #638 -#646 := [monotonicity #639]: #645 -#647 := [trans #646 #652]: #640 -#478 := [monotonicity #647]: #476 -#649 := (iff #477 #61) -#653 := (= #347 #58) -#658 := (= #347 #661) -#375 := (= #690 0::Int) -#379 := (* -1::Int 0::Int) -#659 := (= #379 0::Int) -#660 := [rewrite]: #659 -#380 := (= #690 #379) -#668 := (= #688 0::Int) -#378 := [rewrite]: #668 -#381 := [monotonicity #378]: #380 -#657 := [trans #381 #660]: #375 -#662 := [monotonicity #657]: #658 -#648 := [trans #662 #652]: #653 -#654 := [monotonicity #648]: #649 -#667 := (iff #353 false) -#665 := (or false false) -#389 := (iff #665 false) -#663 := [rewrite]: #389 -#666 := (iff #353 #665) -#395 := (iff #374 false) -#1 := true -#675 := (not true) -#672 := (iff #675 false) -#678 := [rewrite]: #672 -#393 := (iff #374 #675) -#670 := (iff #370 true) -#322 := (or true true) -#683 := (iff #322 true) -#669 := [rewrite]: #683 -#682 := (iff #370 #322) -#687 := (iff #360 true) -#330 := [rewrite]: #687 -#681 := (iff #373 true) -#321 := [rewrite]: #681 -#680 := [monotonicity #321 #330]: #682 -#392 := [trans #680 #669]: #670 -#394 := [monotonicity #392]: #393 -#289 := [trans #394 #678]: #395 -#316 := (iff #372 false) -#676 := (iff #372 #675) -#673 := (iff #371 true) -#671 := (or false true) -#336 := (iff #671 true) -#337 := [rewrite]: #336 -#334 := (iff #371 #671) -#686 := (iff #369 false) -#346 := [rewrite]: #686 -#335 := [monotonicity #346 #330]: #334 -#674 := [trans #335 #337]: #673 -#677 := [monotonicity #674]: #676 -#679 := [trans #677 #678]: #316 -#388 := [monotonicity #679 #289]: #666 -#664 := [trans #388 #663]: #667 -#633 := [monotonicity #664 #654 #478]: #632 -#637 := [trans #633 #636]: #634 -#345 := (iff #368 false) -#350 := [rewrite]: #345 -#520 := [monotonicity #350 #637]: #519 -#480 := [trans #520 #636]: #521 -#695 := (iff #283 false) -#685 := [rewrite]: #695 -#625 := [monotonicity #685 #480]: #530 -#529 := [trans #625 #629]: #514 -#535 := [monotonicity #529]: #534 -#630 := [trans #535 #537]: #534 -#533 := [quant-inst #8 #55]: #525 -#627 := [mp #533 #630]: #532 -[unit-resolution #627 #67 #709]: false -6ed556159a25d6cb7b0afc89ba7e23c5523c8b63 304 0 -unsat +#78 := (iff #15 #77) +#75 := (iff #14 #74) +#72 := (= #12 #71) +#69 := (= #11 -1::Int) +#70 := [rewrite]: #69 +#73 := [monotonicity #70]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76]: #78 +#67 := [asserted]: #15 +#82 := [mp #67 #79]: #77 +#574 := (not #747) +#575 := (or #574 #74) +#401 := (* -1::Int -1::Int) +#727 := (* -1::Int 3::Int) +#402 := (mod #727 #401) +#734 := (+ #71 #402) +#735 := (= #734 0::Int) +#731 := (mod 3::Int -1::Int) +#733 := (* -1::Int #731) +#390 := (+ #71 #733) +#520 := (= #390 0::Int) +#403 := (<= -1::Int 0::Int) +#416 := (>= 3::Int 0::Int) +#413 := (or #416 #403) +#417 := (not #413) +#412 := (<= 3::Int 0::Int) +#414 := (or #412 #403) +#415 := (not #414) +#396 := (or #415 #417) +#736 := (if #396 #520 #735) +#411 := (= 3::Int 0::Int) +#737 := (if #411 #74 #736) +#410 := (= #71 3::Int) +#326 := (= -1::Int 0::Int) +#732 := (if #326 #410 #737) +#568 := (or #574 #732) +#577 := (iff #568 #575) +#579 := (iff #575 #575) +#580 := [rewrite]: #579 +#557 := (iff #732 #74) +#671 := (if false #410 #74) +#669 := (iff #671 #74) +#672 := [rewrite]: #669 +#573 := (iff #732 #671) +#564 := (iff #737 #74) +#522 := (if false #74 #74) +#678 := (iff #522 #74) +#679 := [rewrite]: #678 +#562 := (iff #737 #522) +#677 := (iff #736 #74) +#675 := (iff #736 #522) +#519 := (iff #735 #74) +#683 := (= #734 #71) +#704 := (+ #71 0::Int) +#694 := (= #704 #71) +#695 := [rewrite]: #694 +#688 := (= #734 #704) +#681 := (= #402 0::Int) +#698 := -3::Int +#542 := (mod -3::Int 1::Int) +#686 := (= #542 0::Int) +#687 := [rewrite]: #686 +#684 := (= #402 #542) +#540 := (= #401 1::Int) +#541 := [rewrite]: #540 +#693 := (= #727 -3::Int) +#699 := [rewrite]: #693 +#685 := [monotonicity #699 #541]: #684 +#682 := [trans #685 #687]: #681 +#689 := [monotonicity #682]: #688 +#690 := [trans #689 #695]: #683 +#521 := [monotonicity #690]: #519 +#692 := (iff #520 #74) +#696 := (= #390 #71) +#701 := (= #390 #704) +#418 := (= #733 0::Int) +#422 := (* -1::Int 0::Int) +#702 := (= #422 0::Int) +#703 := [rewrite]: #702 +#423 := (= #733 #422) +#711 := (= #731 0::Int) +#421 := [rewrite]: #711 +#424 := [monotonicity #421]: #423 +#700 := [trans #424 #703]: #418 +#705 := [monotonicity #700]: #701 +#691 := [trans #705 #695]: #696 +#697 := [monotonicity #691]: #692 +#710 := (iff #396 false) +#708 := (or false false) +#432 := (iff #708 false) +#706 := [rewrite]: #432 +#709 := (iff #396 #708) +#438 := (iff #417 false) +#1 := true +#718 := (not true) +#715 := (iff #718 false) +#721 := [rewrite]: #715 +#436 := (iff #417 #718) +#713 := (iff #413 true) +#365 := (or true true) +#726 := (iff #365 true) +#712 := [rewrite]: #726 +#725 := (iff #413 #365) +#730 := (iff #403 true) +#373 := [rewrite]: #730 +#724 := (iff #416 true) +#364 := [rewrite]: #724 +#723 := [monotonicity #364 #373]: #725 +#435 := [trans #723 #712]: #713 +#437 := [monotonicity #435]: #436 +#332 := [trans #437 #721]: #438 +#359 := (iff #415 false) +#719 := (iff #415 #718) +#716 := (iff #414 true) +#714 := (or false true) +#379 := (iff #714 true) +#380 := [rewrite]: #379 +#377 := (iff #414 #714) +#729 := (iff #412 false) +#389 := [rewrite]: #729 +#378 := [monotonicity #389 #373]: #377 +#717 := [trans #378 #380]: #716 +#720 := [monotonicity #717]: #719 +#722 := [trans #720 #721]: #359 +#431 := [monotonicity #722 #332]: #709 +#707 := [trans #431 #706]: #710 +#676 := [monotonicity #707 #697 #521]: #675 +#680 := [trans #676 #679]: #677 +#388 := (iff #411 false) +#393 := [rewrite]: #388 +#563 := [monotonicity #393 #680]: #562 +#523 := [trans #563 #679]: #564 +#738 := (iff #326 false) +#728 := [rewrite]: #738 +#668 := [monotonicity #728 #523]: #573 +#572 := [trans #668 #672]: #557 +#578 := [monotonicity #572]: #577 +#673 := [trans #578 #580]: #577 +#576 := [quant-inst #8 #68]: #568 +#670 := [mp #576 #673]: #575 +[unit-resolution #670 #82 #752]: false +unsat +cc50be1af933c0c97044d9c6c3e09dc4fd354986 288 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -36275,107 +33911,80 @@ #7 := f5 #38 := (f4 f5 #17) #39 := (f3 #38 #19) -#703 := (pattern #39) +#747 := (pattern #39) #13 := 0::Int -#55 := -1::Int -#97 := (* -1::Int #19) -#94 := (* -1::Int #17) -#116 := (mod #94 #97) -#272 := (+ #39 #116) -#273 := (= #272 0::Int) +#68 := -1::Int +#85 := (* -1::Int #19) +#81 := (* -1::Int #17) +#140 := (mod #81 #85) +#255 := (+ #39 #140) +#256 := (= #255 0::Int) #40 := (mod #17 #19) -#269 := (* -1::Int #40) -#270 := (+ #39 #269) -#271 := (= #270 0::Int) -#72 := (<= #19 0::Int) -#163 := (>= #17 0::Int) -#216 := (or #163 #72) -#217 := (not #216) -#68 := (<= #17 0::Int) -#212 := (or #68 #72) -#213 := (not #212) -#220 := (or #213 #217) -#274 := (if #220 #271 #273) -#268 := (= #39 0::Int) +#252 := (* -1::Int #40) +#253 := (+ #39 #252) +#254 := (= #253 0::Int) +#107 := (<= #19 0::Int) +#114 := (>= #17 0::Int) +#199 := (or #114 #107) +#200 := (not #199) +#103 := (<= #17 0::Int) +#197 := (or #103 #107) +#198 := (not #197) +#203 := (or #198 #200) +#257 := (if #203 #254 #256) +#251 := (= #39 0::Int) #21 := (= #17 0::Int) -#275 := (if #21 #268 #274) -#267 := (= #39 #17) +#258 := (if #21 #251 #257) +#250 := (= #39 #17) #22 := (= #19 0::Int) -#276 := (if #22 #267 #275) -#704 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #703) #276) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#707 := (iff #279 #704) -#705 := (iff #276 #276) -#706 := [refl]: #705 -#708 := [quant-intro #706]: #707 -#122 := (* -1::Int #116) -#236 := (if #220 #40 #122) -#239 := (if #21 0::Int #236) -#242 := (if #22 #17 #239) -#245 := (= #39 #242) -#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) -#280 := (iff #248 #279) -#277 := (iff #245 #276) -#278 := [rewrite]: #277 -#281 := [quant-intro #278]: #280 -#73 := (not #72) -#166 := (not #163) -#169 := (and #166 #73) -#69 := (not #68) -#76 := (and #69 #73) -#172 := (or #76 #169) -#188 := (if #172 #40 #122) -#191 := (if #21 0::Int #188) -#194 := (if #22 #17 #191) -#197 := (= #39 #194) -#200 := (forall (vars (?v0 Int) (?v1 Int)) #197) -#249 := (iff #200 #248) -#246 := (iff #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#237 := (= #188 #236) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#219 := [rewrite]: #218 -#214 := (iff #76 #213) -#215 := [rewrite]: #214 -#222 := [monotonicity #215 #219]: #221 -#238 := [monotonicity #222]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [quant-intro #247]: #249 -#205 := (~ #200 #200) -#209 := (~ #197 #197) -#204 := [refl]: #209 -#210 := [nnf-pos #204]: #205 -#79 := (<= 0::Int #17) -#80 := (not #79) -#88 := (and #80 #73) -#91 := (or #76 #88) -#127 := (if #91 #40 #122) -#130 := (if #21 0::Int #127) -#133 := (if #22 #17 #130) -#136 := (= #39 #133) -#139 := (forall (vars (?v0 Int) (?v1 Int)) #136) -#201 := (iff #139 #200) -#198 := (iff #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#189 := (= #127 #188) -#173 := (iff #91 #172) -#170 := (iff #88 #169) -#167 := (iff #80 #166) -#164 := (iff #79 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#190 := [monotonicity #174]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [quant-intro #199]: #201 +#259 := (if #22 #250 #258) +#748 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #747) #259) +#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) +#751 := (iff #262 #748) +#749 := (iff #259 #259) +#750 := [refl]: #749 +#752 := [quant-intro #750]: #751 +#146 := (* -1::Int #140) +#219 := (if #203 #40 #146) +#222 := (if #21 0::Int #219) +#225 := (if #22 #17 #222) +#228 := (= #39 #225) +#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#108 := (not #107) +#115 := (not #114) +#118 := (and #115 #108) +#104 := (not #103) +#111 := (and #104 #108) +#121 := (or #111 #118) +#166 := (if #121 #40 #146) +#169 := (if #21 0::Int #166) +#172 := (if #22 #17 #169) +#175 := (= #39 #172) +#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) +#232 := (iff #178 #231) +#229 := (iff #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#220 := (= #166 #219) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#202 := [rewrite]: #201 +#191 := (iff #111 #198) +#192 := [rewrite]: #191 +#205 := [monotonicity #192 #202]: #204 +#221 := [monotonicity #205]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#189 := (~ #178 #178) +#188 := (~ #175 #175) +#185 := [refl]: #188 +#190 := [nnf-pos #185]: #189 #32 := (- #19) #31 := (- #17) #41 := (mod #31 #32) @@ -36391,186 +34000,197 @@ #45 := (if #22 #17 #44) #46 := (= #39 #45) #47 := (forall (vars (?v0 Int) (?v1 Int)) #46) -#140 := (iff #47 #139) -#137 := (iff #46 #136) -#134 := (= #45 #133) -#131 := (= #44 #130) -#128 := (= #43 #127) -#125 := (= #42 #122) -#119 := (- #116) -#123 := (= #119 #122) -#124 := [rewrite]: #123 -#120 := (= #42 #119) -#117 := (= #41 #116) -#98 := (= #32 #97) -#99 := [rewrite]: #98 -#95 := (= #31 #94) -#96 := [rewrite]: #95 -#118 := [monotonicity #96 #99]: #117 -#121 := [monotonicity #118]: #120 -#126 := [trans #121 #124]: #125 -#92 := (iff #29 #91) -#89 := (iff #28 #88) -#74 := (iff #25 #73) -#75 := [rewrite]: #74 -#81 := (iff #27 #80) -#85 := (iff #80 #80) -#83 := (iff #79 #79) +#181 := (iff #47 #178) +#151 := (if #29 #40 #146) +#154 := (if #21 0::Int #151) +#157 := (if #22 #17 #154) +#160 := (= #39 #157) +#163 := (forall (vars (?v0 Int) (?v1 Int)) #160) +#179 := (iff #163 #178) +#176 := (iff #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#167 := (= #151 #166) +#122 := (iff #29 #121) +#119 := (iff #28 #118) +#109 := (iff #25 #108) +#110 := [rewrite]: #109 +#116 := (iff #27 #115) +#117 := [rewrite]: #116 +#120 := [monotonicity #117 #110]: #119 +#112 := (iff #26 #111) +#105 := (iff #24 #104) +#106 := [rewrite]: #105 +#113 := [monotonicity #106 #110]: #112 +#123 := [monotonicity #113 #120]: #122 +#168 := [monotonicity #123]: #167 +#171 := [monotonicity #168]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [quant-intro #177]: #179 +#164 := (iff #47 #163) +#161 := (iff #46 #160) +#158 := (= #45 #157) +#155 := (= #44 #154) +#152 := (= #43 #151) +#149 := (= #42 #146) +#143 := (- #140) +#147 := (= #143 #146) +#148 := [rewrite]: #147 +#144 := (= #42 #143) +#141 := (= #41 #140) +#86 := (= #32 #85) +#87 := [rewrite]: #86 +#83 := (= #31 #81) #84 := [rewrite]: #83 -#86 := [monotonicity #84]: #85 -#82 := [rewrite]: #81 -#87 := [trans #82 #86]: #81 -#90 := [monotonicity #87 #75]: #89 -#77 := (iff #26 #76) -#70 := (iff #24 #69) -#71 := [rewrite]: #70 -#78 := [monotonicity #71 #75]: #77 -#93 := [monotonicity #78 #90]: #92 -#129 := [monotonicity #93 #126]: #128 -#132 := [monotonicity #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [quant-intro #138]: #140 -#51 := [asserted]: #47 -#142 := [mp #51 #141]: #139 -#203 := [mp #142 #202]: #200 -#211 := [mp~ #203 #210]: #200 -#251 := [mp #211 #250]: #248 -#282 := [mp #251 #281]: #279 -#709 := [mp #282 #708]: #704 +#142 := [monotonicity #84 #87]: #141 +#145 := [monotonicity #142]: #144 +#150 := [trans #145 #148]: #149 +#153 := [monotonicity #150]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#182 := [trans #165 #180]: #181 +#139 := [asserted]: #47 +#183 := [mp #139 #182]: #178 +#186 := [mp~ #183 #190]: #178 +#234 := [mp #186 #233]: #231 +#265 := [mp #234 #264]: #262 +#753 := [mp #265 #752]: #748 decl f6 :: Int #8 := f6 #9 := (f4 f5 f6) -#58 := (f3 #9 -1::Int) -#61 := (= #58 0::Int) -#64 := (not #61) +#71 := (f3 #9 -1::Int) +#74 := (= #71 0::Int) +#77 := (not #74) #10 := 1::Int #11 := (- 1::Int) #12 := (f3 #9 #11) #14 := (= #12 0::Int) #15 := (not #14) -#65 := (iff #15 #64) -#62 := (iff #14 #61) -#59 := (= #12 #58) -#56 := (= #11 -1::Int) -#57 := [rewrite]: #56 -#60 := [monotonicity #57]: #59 -#63 := [monotonicity #60]: #62 -#66 := [monotonicity #63]: #65 -#49 := [asserted]: #15 -#67 := [mp #49 #66]: #64 -#647 := (not #704) -#476 := (or #647 #61) -#358 := (* -1::Int -1::Int) -#684 := (* -1::Int f6) -#359 := (mod #684 #358) -#691 := (+ #58 #359) -#692 := (= #691 0::Int) -#688 := (mod f6 -1::Int) -#690 := (* -1::Int #688) -#347 := (+ #58 #690) -#477 := (= #347 0::Int) -#360 := (<= -1::Int 0::Int) -#373 := (>= f6 0::Int) -#370 := (or #373 #360) -#374 := (not #370) -#369 := (<= f6 0::Int) -#371 := (or #369 #360) -#372 := (not #371) -#353 := (or #372 #374) -#693 := (if #353 #477 #692) -#368 := (= f6 0::Int) -#694 := (if #368 #61 #693) -#367 := (= #58 f6) -#283 := (= -1::Int 0::Int) -#689 := (if #283 #367 #694) -#478 := (or #647 #689) -#632 := (iff #478 #476) -#635 := (iff #476 #476) -#636 := [rewrite]: #635 -#646 := (iff #689 #61) -#643 := (if false #367 #61) -#639 := (iff #643 #61) -#645 := [rewrite]: #639 -#644 := (iff #689 #643) -#641 := (iff #694 #61) -#650 := (if #368 #61 #61) -#498 := (iff #650 #61) -#499 := [rewrite]: #498 -#656 := (iff #694 #650) -#654 := (iff #693 #61) -#651 := (if false #477 #61) -#648 := (iff #651 #61) -#649 := [rewrite]: #648 -#652 := (iff #693 #651) -#658 := (iff #692 #61) -#657 := (= #691 #58) -#380 := (+ #58 0::Int) -#660 := (= #380 #58) -#375 := [rewrite]: #660 -#381 := (= #691 #380) -#378 := (= #359 0::Int) -#389 := (mod #684 1::Int) -#664 := (= #389 0::Int) -#668 := [rewrite]: #664 -#663 := (= #359 #389) -#666 := (= #358 1::Int) -#388 := [rewrite]: #666 -#667 := [monotonicity #388]: #663 -#379 := [trans #667 #668]: #378 -#659 := [monotonicity #379]: #381 -#661 := [trans #659 #375]: #657 -#662 := [monotonicity #661]: #658 -#289 := (iff #353 false) -#670 := (or false false) -#394 := (iff #670 false) -#395 := [rewrite]: #394 -#392 := (iff #353 #670) -#683 := (iff #374 false) -#1 := true -#336 := (not true) -#674 := (iff #336 false) -#675 := [rewrite]: #674 -#682 := (iff #374 #336) -#321 := (iff #370 true) -#672 := (or #373 true) -#679 := (iff #672 true) -#681 := [rewrite]: #679 -#678 := (iff #370 #672) -#345 := (iff #360 true) -#350 := [rewrite]: #345 -#316 := [monotonicity #350]: #678 -#322 := [trans #316 #681]: #321 -#680 := [monotonicity #322]: #682 -#669 := [trans #680 #675]: #683 -#676 := (iff #372 false) -#337 := (iff #372 #336) -#334 := (iff #371 true) -#686 := (or #369 true) -#330 := (iff #686 true) -#671 := [rewrite]: #330 -#346 := (iff #371 #686) -#687 := [monotonicity #350]: #346 -#335 := [trans #687 #671]: #334 -#673 := [monotonicity #335]: #337 -#677 := [trans #673 #675]: #676 -#393 := [monotonicity #677 #669]: #392 -#665 := [trans #393 #395]: #289 -#653 := [monotonicity #665 #662]: #652 -#655 := [trans #653 #649]: #654 -#497 := [monotonicity #655]: #656 -#642 := [trans #497 #499]: #641 -#695 := (iff #283 false) -#685 := [rewrite]: #695 -#638 := [monotonicity #685 #642]: #644 -#640 := [trans #638 #645]: #646 -#633 := [monotonicity #640]: #632 -#634 := [trans #633 #636]: #632 -#479 := [quant-inst #8 #55]: #478 -#637 := [mp #479 #634]: #476 -[unit-resolution #637 #67 #709]: false -9c9742a1f9e5b5feb0bee490cb17aea9c87b53db 303 0 -unsat +#78 := (iff #15 #77) +#75 := (iff #14 #74) +#72 := (= #12 #71) +#69 := (= #11 -1::Int) +#70 := [rewrite]: #69 +#73 := [monotonicity #70]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76]: #78 +#67 := [asserted]: #15 +#82 := [mp #67 #79]: #77 +#691 := (not #748) +#520 := (or #691 #74) +#402 := (* -1::Int -1::Int) +#728 := (* -1::Int f6) +#403 := (mod #728 #402) +#735 := (+ #71 #403) +#736 := (= #735 0::Int) +#732 := (mod f6 -1::Int) +#734 := (* -1::Int #732) +#391 := (+ #71 #734) +#521 := (= #391 0::Int) +#404 := (<= -1::Int 0::Int) +#417 := (>= f6 0::Int) +#414 := (or #417 #404) +#418 := (not #414) +#413 := (<= f6 0::Int) +#415 := (or #413 #404) +#416 := (not #415) +#397 := (or #416 #418) +#737 := (if #397 #521 #736) +#412 := (= f6 0::Int) +#738 := (if #412 #74 #737) +#411 := (= #71 f6) +#327 := (= -1::Int 0::Int) +#733 := (if #327 #411 #738) +#522 := (or #691 #733) +#676 := (iff #522 #520) +#679 := (iff #520 #520) +#680 := [rewrite]: #679 +#690 := (iff #733 #74) +#687 := (if false #411 #74) +#683 := (iff #687 #74) +#689 := [rewrite]: #683 +#688 := (iff #733 #687) +#685 := (iff #738 #74) +#694 := (if #412 #74 #74) +#542 := (iff #694 #74) +#543 := [rewrite]: #542 +#700 := (iff #738 #694) +#698 := (iff #737 #74) +#695 := (if false #521 #74) +#692 := (iff #695 #74) +#693 := [rewrite]: #692 +#696 := (iff #737 #695) +#702 := (iff #736 #74) +#701 := (= #735 #71) +#424 := (+ #71 0::Int) +#704 := (= #424 #71) +#419 := [rewrite]: #704 +#425 := (= #735 #424) +#422 := (= #403 0::Int) +#433 := (mod #728 1::Int) +#708 := (= #433 0::Int) +#712 := [rewrite]: #708 +#707 := (= #403 #433) +#710 := (= #402 1::Int) +#432 := [rewrite]: #710 +#711 := [monotonicity #432]: #707 +#423 := [trans #711 #712]: #422 +#703 := [monotonicity #423]: #425 +#705 := [trans #703 #419]: #701 +#706 := [monotonicity #705]: #702 +#333 := (iff #397 false) +#714 := (or false false) +#438 := (iff #714 false) +#439 := [rewrite]: #438 +#436 := (iff #397 #714) +#727 := (iff #418 false) +#1 := true +#380 := (not true) +#718 := (iff #380 false) +#719 := [rewrite]: #718 +#726 := (iff #418 #380) +#365 := (iff #414 true) +#716 := (or #417 true) +#723 := (iff #716 true) +#725 := [rewrite]: #723 +#722 := (iff #414 #716) +#389 := (iff #404 true) +#394 := [rewrite]: #389 +#360 := [monotonicity #394]: #722 +#366 := [trans #360 #725]: #365 +#724 := [monotonicity #366]: #726 +#713 := [trans #724 #719]: #727 +#720 := (iff #416 false) +#381 := (iff #416 #380) +#378 := (iff #415 true) +#730 := (or #413 true) +#374 := (iff #730 true) +#715 := [rewrite]: #374 +#390 := (iff #415 #730) +#731 := [monotonicity #394]: #390 +#379 := [trans #731 #715]: #378 +#717 := [monotonicity #379]: #381 +#721 := [trans #717 #719]: #720 +#437 := [monotonicity #721 #713]: #436 +#709 := [trans #437 #439]: #333 +#697 := [monotonicity #709 #706]: #696 +#699 := [trans #697 #693]: #698 +#541 := [monotonicity #699]: #700 +#686 := [trans #541 #543]: #685 +#739 := (iff #327 false) +#729 := [rewrite]: #739 +#682 := [monotonicity #729 #686]: #688 +#684 := [trans #682 #689]: #690 +#677 := [monotonicity #684]: #676 +#678 := [trans #677 #680]: #676 +#523 := [quant-inst #8 #68]: #522 +#681 := [mp #523 #678]: #520 +[unit-resolution #681 #82 #753]: false +unsat +7b2dc6ed2136e8f88a408eac485e7ff01d341877 287 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -36580,107 +34200,80 @@ #7 := f5 #36 := (f4 f5 #15) #37 := (f3 #36 #17) -#690 := (pattern #37) +#733 := (pattern #37) #8 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #17) -#80 := (* -1::Int #15) -#102 := (mod #80 #83) -#258 := (+ #37 #102) -#259 := (= #258 0::Int) +#67 := -1::Int +#71 := (* -1::Int #17) +#68 := (* -1::Int #15) +#126 := (mod #68 #71) +#241 := (+ #37 #126) +#242 := (= #241 0::Int) #38 := (mod #15 #17) -#255 := (* -1::Int #38) -#256 := (+ #37 #255) -#257 := (= #256 0::Int) -#57 := (<= #17 0::Int) -#149 := (>= #15 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #15 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#260 := (if #206 #257 #259) -#254 := (= #37 0::Int) +#238 := (* -1::Int #38) +#239 := (+ #37 #238) +#240 := (= #239 0::Int) +#93 := (<= #17 0::Int) +#100 := (>= #15 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #15 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#243 := (if #189 #240 #242) +#237 := (= #37 0::Int) #19 := (= #15 0::Int) -#261 := (if #19 #254 #260) -#253 := (= #37 #15) +#244 := (if #19 #237 #243) +#236 := (= #37 #15) #20 := (= #17 0::Int) -#262 := (if #20 #253 #261) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #262) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#694 := (iff #265 #691) -#692 := (iff #262 #262) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#108 := (* -1::Int #102) -#222 := (if #206 #38 #108) -#225 := (if #19 0::Int #222) -#228 := (if #20 #15 #225) -#231 := (= #37 #228) -#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) -#266 := (iff #234 #265) -#263 := (iff #231 #262) -#264 := [rewrite]: #263 -#267 := [quant-intro #264]: #266 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#174 := (if #158 #38 #108) -#177 := (if #19 0::Int #174) -#180 := (if #20 #15 #177) -#183 := (= #37 #180) -#186 := (forall (vars (?v0 Int) (?v1 Int)) #183) -#235 := (iff #186 #234) -#232 := (iff #183 #231) -#229 := (= #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#224 := [monotonicity #208]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [quant-intro #233]: #235 -#148 := (~ #186 #186) -#193 := (~ #183 #183) -#147 := [refl]: #193 -#196 := [nnf-pos #147]: #148 -#64 := (<= 0::Int #15) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#113 := (if #76 #38 #108) -#116 := (if #19 0::Int #113) -#119 := (if #20 #15 #116) -#122 := (= #37 #119) -#125 := (forall (vars (?v0 Int) (?v1 Int)) #122) -#187 := (iff #125 #186) -#184 := (iff #122 #183) -#181 := (= #119 #180) -#178 := (= #116 #177) -#175 := (= #113 #174) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#176 := [monotonicity #160]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [monotonicity #182]: #184 -#188 := [quant-intro #185]: #187 +#245 := (if #20 #236 #244) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #245) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#737 := (iff #248 #734) +#735 := (iff #245 #245) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#132 := (* -1::Int #126) +#205 := (if #189 #38 #132) +#208 := (if #19 0::Int #205) +#211 := (if #20 #15 #208) +#214 := (= #37 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#249 := (iff #217 #248) +#246 := (iff #214 #245) +#247 := [rewrite]: #246 +#250 := [quant-intro #247]: #249 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#152 := (if #107 #38 #132) +#155 := (if #19 0::Int #152) +#158 := (if #20 #15 #155) +#161 := (= #37 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#218 := (iff #164 #217) +#215 := (iff #161 #214) +#212 := (= #158 #211) +#209 := (= #155 #208) +#206 := (= #152 #205) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#207 := [monotonicity #191]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#175 := (~ #164 #164) +#174 := (~ #161 #161) +#171 := [refl]: #174 +#176 := [nnf-pos #171]: #175 #30 := (- #17) #29 := (- #15) #39 := (mod #29 #30) @@ -36696,185 +34289,196 @@ #43 := (if #20 #15 #42) #44 := (= #37 #43) #45 := (forall (vars (?v0 Int) (?v1 Int)) #44) -#126 := (iff #45 #125) -#123 := (iff #44 #122) -#120 := (= #43 #119) -#117 := (= #42 #116) -#114 := (= #41 #113) -#111 := (= #40 #108) -#105 := (- #102) -#109 := (= #105 #108) -#110 := [rewrite]: #109 -#106 := (= #40 #105) -#103 := (= #39 #102) -#84 := (= #30 #83) -#85 := [rewrite]: #84 -#81 := (= #29 #80) -#82 := [rewrite]: #81 -#104 := [monotonicity #82 #85]: #103 -#107 := [monotonicity #104]: #106 -#112 := [trans #107 #110]: #111 -#77 := (iff #27 #76) -#74 := (iff #26 #73) -#59 := (iff #23 #58) -#60 := [rewrite]: #59 -#66 := (iff #25 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #24 #61) -#55 := (iff #22 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#115 := [monotonicity #78 #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#124 := [monotonicity #121]: #123 -#127 := [quant-intro #124]: #126 -#49 := [asserted]: #45 -#128 := [mp #49 #127]: #125 -#189 := [mp #128 #188]: #186 -#197 := [mp~ #189 #196]: #186 -#237 := [mp #197 #236]: #234 -#268 := [mp #237 #267]: #265 -#696 := [mp #268 #695]: #691 +#167 := (iff #45 #164) +#137 := (if #27 #38 #132) +#140 := (if #19 0::Int #137) +#143 := (if #20 #15 #140) +#146 := (= #37 #143) +#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) +#165 := (iff #149 #164) +#162 := (iff #146 #161) +#159 := (= #143 #158) +#156 := (= #140 #155) +#153 := (= #137 #152) +#108 := (iff #27 #107) +#105 := (iff #26 #104) +#95 := (iff #23 #94) +#96 := [rewrite]: #95 +#102 := (iff #25 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #24 #97) +#91 := (iff #22 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#154 := [monotonicity #109]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#150 := (iff #45 #149) +#147 := (iff #44 #146) +#144 := (= #43 #143) +#141 := (= #42 #140) +#138 := (= #41 #137) +#135 := (= #40 #132) +#129 := (- #126) +#133 := (= #129 #132) +#134 := [rewrite]: #133 +#130 := (= #40 #129) +#127 := (= #39 #126) +#72 := (= #30 #71) +#73 := [rewrite]: #72 +#69 := (= #29 #68) +#70 := [rewrite]: #69 +#128 := [monotonicity #70 #73]: #127 +#131 := [monotonicity #128]: #130 +#136 := [trans #131 #134]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#168 := [trans #151 #166]: #167 +#125 := [asserted]: #45 +#169 := [mp #125 #168]: #164 +#172 := [mp~ #169 #176]: #164 +#220 := [mp #172 #219]: #217 +#251 := [mp #220 #250]: #248 +#739 := [mp #251 #738]: #734 #10 := 3::Int #9 := (f4 f5 0::Int) #11 := (f3 #9 3::Int) #12 := (= #11 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#615 := (not #691) -#517 := (or #615 #12) -#671 := (* -1::Int 3::Int) -#464 := (* -1::Int 0::Int) -#345 := (mod #464 #671) -#346 := (+ #11 #345) -#678 := (= #346 0::Int) -#340 := (mod 0::Int 3::Int) -#675 := (* -1::Int #340) -#677 := (+ #11 #675) -#334 := (= #677 0::Int) -#356 := (<= 3::Int 0::Int) -#359 := (>= 0::Int 0::Int) -#360 := (or #359 #356) -#357 := (not #360) -#355 := (<= 0::Int 0::Int) -#347 := (or #355 #356) -#358 := (not #347) -#361 := (or #358 #357) -#679 := (if #361 #334 #678) -#354 := (= 0::Int 0::Int) -#680 := (if #354 #12 #679) -#269 := (= 3::Int 0::Int) -#681 := (if #269 #12 #680) -#612 := (or #615 #681) -#616 := (iff #612 #517) -#516 := (iff #517 #517) -#518 := [rewrite]: #516 -#508 := (iff #681 #12) -#626 := (if false #12 #12) -#627 := (iff #626 #12) -#634 := [rewrite]: #627 -#506 := (iff #681 #626) -#621 := (iff #680 #12) -#1 := true -#466 := (if true #12 #12) -#622 := (iff #466 #12) -#623 := [rewrite]: #622 -#619 := (iff #680 #466) -#463 := (iff #679 #12) -#632 := (iff #679 #626) -#631 := (iff #678 #12) -#629 := (= #346 #11) -#368 := (+ #11 0::Int) -#362 := (= #368 #11) -#644 := [rewrite]: #362 -#486 := (= #346 #368) -#484 := (= #345 0::Int) -#639 := -3::Int -#636 := (mod 0::Int -3::Int) -#637 := (= #636 0::Int) -#643 := [rewrite]: #637 -#641 := (= #345 #636) -#640 := (= #671 -3::Int) -#635 := [rewrite]: #640 -#655 := (= #464 0::Int) -#365 := [rewrite]: #655 -#642 := [monotonicity #365 #635]: #641 -#485 := [trans #642 #643]: #484 -#628 := [monotonicity #485]: #486 -#630 := [trans #628 #644]: #629 -#625 := [monotonicity #630]: #631 -#649 := (iff #334 #12) -#648 := (= #677 #11) -#646 := (= #677 #368) -#366 := (= #675 0::Int) -#654 := (= #675 #464) -#376 := (= #340 0::Int) -#650 := [rewrite]: #376 -#651 := [monotonicity #650]: #654 -#367 := [trans #651 #365]: #366 -#647 := [monotonicity #367]: #646 -#645 := [trans #647 #644]: #648 -#638 := [monotonicity #645]: #649 -#653 := (iff #361 false) -#380 := (or false false) -#275 := (iff #380 false) -#652 := [rewrite]: #275 -#381 := (iff #361 #380) -#657 := (iff #357 false) -#661 := (not true) -#664 := (iff #661 false) -#659 := [rewrite]: #664 -#670 := (iff #357 #661) -#669 := (iff #360 true) -#317 := (or true false) -#322 := (iff #317 true) -#323 := [rewrite]: #322 -#308 := (iff #360 #317) -#333 := (iff #356 false) -#674 := [rewrite]: #333 -#666 := (iff #359 true) -#668 := [rewrite]: #666 -#309 := [monotonicity #668 #674]: #308 -#667 := [trans #309 #323]: #669 -#656 := [monotonicity #667]: #670 -#379 := [trans #656 #659]: #657 -#665 := (iff #358 false) -#662 := (iff #358 #661) -#324 := (iff #347 true) -#658 := (iff #347 #317) -#337 := (iff #355 true) -#673 := [rewrite]: #337 -#321 := [monotonicity #673 #674]: #658 -#660 := [trans #321 #323]: #324 -#663 := [monotonicity #660]: #662 -#303 := [trans #663 #659]: #665 -#382 := [monotonicity #303 #379]: #381 -#375 := [trans #382 #652]: #653 -#633 := [monotonicity #375 #638 #625]: #632 -#465 := [trans #633 #634]: #463 -#672 := (iff #354 true) -#332 := [rewrite]: #672 -#620 := [monotonicity #332 #465]: #619 -#624 := [trans #620 #623]: #621 -#676 := (iff #269 false) -#682 := [rewrite]: #676 -#507 := [monotonicity #682 #624]: #506 -#467 := [trans #507 #634]: #508 -#501 := [monotonicity #467]: #616 -#519 := [trans #501 #518]: #616 -#613 := [quant-inst #8 #10]: #612 -#512 := [mp #613 #519]: #517 -[unit-resolution #512 #47 #696]: false -20cf39716d0e0864db7d929b914c6a23abc44f49 316 0 -unsat +#65 := [asserted]: #13 +#658 := (not #734) +#560 := (or #658 #12) +#714 := (* -1::Int 3::Int) +#507 := (* -1::Int 0::Int) +#388 := (mod #507 #714) +#389 := (+ #11 #388) +#721 := (= #389 0::Int) +#383 := (mod 0::Int 3::Int) +#718 := (* -1::Int #383) +#720 := (+ #11 #718) +#377 := (= #720 0::Int) +#399 := (<= 3::Int 0::Int) +#402 := (>= 0::Int 0::Int) +#403 := (or #402 #399) +#400 := (not #403) +#398 := (<= 0::Int 0::Int) +#390 := (or #398 #399) +#401 := (not #390) +#404 := (or #401 #400) +#722 := (if #404 #377 #721) +#397 := (= 0::Int 0::Int) +#723 := (if #397 #12 #722) +#313 := (= 3::Int 0::Int) +#724 := (if #313 #12 #723) +#655 := (or #658 #724) +#659 := (iff #655 #560) +#559 := (iff #560 #560) +#561 := [rewrite]: #559 +#551 := (iff #724 #12) +#669 := (if false #12 #12) +#670 := (iff #669 #12) +#677 := [rewrite]: #670 +#549 := (iff #724 #669) +#664 := (iff #723 #12) +#1 := true +#509 := (if true #12 #12) +#665 := (iff #509 #12) +#666 := [rewrite]: #665 +#662 := (iff #723 #509) +#506 := (iff #722 #12) +#675 := (iff #722 #669) +#674 := (iff #721 #12) +#672 := (= #389 #11) +#411 := (+ #11 0::Int) +#405 := (= #411 #11) +#687 := [rewrite]: #405 +#529 := (= #389 #411) +#527 := (= #388 0::Int) +#682 := -3::Int +#679 := (mod 0::Int -3::Int) +#680 := (= #679 0::Int) +#686 := [rewrite]: #680 +#684 := (= #388 #679) +#683 := (= #714 -3::Int) +#678 := [rewrite]: #683 +#698 := (= #507 0::Int) +#408 := [rewrite]: #698 +#685 := [monotonicity #408 #678]: #684 +#528 := [trans #685 #686]: #527 +#671 := [monotonicity #528]: #529 +#673 := [trans #671 #687]: #672 +#668 := [monotonicity #673]: #674 +#692 := (iff #377 #12) +#691 := (= #720 #11) +#689 := (= #720 #411) +#409 := (= #718 0::Int) +#697 := (= #718 #507) +#419 := (= #383 0::Int) +#693 := [rewrite]: #419 +#694 := [monotonicity #693]: #697 +#410 := [trans #694 #408]: #409 +#690 := [monotonicity #410]: #689 +#688 := [trans #690 #687]: #691 +#681 := [monotonicity #688]: #692 +#696 := (iff #404 false) +#423 := (or false false) +#319 := (iff #423 false) +#695 := [rewrite]: #319 +#424 := (iff #404 #423) +#700 := (iff #400 false) +#704 := (not true) +#707 := (iff #704 false) +#702 := [rewrite]: #707 +#713 := (iff #400 #704) +#712 := (iff #403 true) +#360 := (or true false) +#365 := (iff #360 true) +#366 := [rewrite]: #365 +#351 := (iff #403 #360) +#376 := (iff #399 false) +#717 := [rewrite]: #376 +#709 := (iff #402 true) +#711 := [rewrite]: #709 +#352 := [monotonicity #711 #717]: #351 +#710 := [trans #352 #366]: #712 +#699 := [monotonicity #710]: #713 +#422 := [trans #699 #702]: #700 +#708 := (iff #401 false) +#705 := (iff #401 #704) +#367 := (iff #390 true) +#701 := (iff #390 #360) +#380 := (iff #398 true) +#716 := [rewrite]: #380 +#364 := [monotonicity #716 #717]: #701 +#703 := [trans #364 #366]: #367 +#706 := [monotonicity #703]: #705 +#346 := [trans #706 #702]: #708 +#425 := [monotonicity #346 #422]: #424 +#418 := [trans #425 #695]: #696 +#676 := [monotonicity #418 #681 #668]: #675 +#508 := [trans #676 #677]: #506 +#715 := (iff #397 true) +#375 := [rewrite]: #715 +#663 := [monotonicity #375 #508]: #662 +#667 := [trans #663 #666]: #664 +#719 := (iff #313 false) +#725 := [rewrite]: #719 +#550 := [monotonicity #725 #667]: #549 +#510 := [trans #550 #677]: #551 +#544 := [monotonicity #510]: #659 +#562 := [trans #544 #561]: #659 +#656 := [quant-inst #8 #10]: #655 +#555 := [mp #656 #562]: #560 +[unit-resolution #555 #65 #739]: false +unsat +022cbf4beb2e566dadff63f0d8408936ecfe6766 300 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -36884,107 +34488,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#704 := (pattern #38) +#747 := (pattern #38) #8 := 0::Int -#93 := -1::Int -#97 := (* -1::Int #18) -#94 := (* -1::Int #16) -#116 := (mod #94 #97) -#272 := (+ #38 #116) -#273 := (= #272 0::Int) +#80 := -1::Int +#85 := (* -1::Int #18) +#82 := (* -1::Int #16) +#140 := (mod #82 #85) +#255 := (+ #38 #140) +#256 := (= #255 0::Int) #39 := (mod #16 #18) -#269 := (* -1::Int #39) -#270 := (+ #38 #269) -#271 := (= #270 0::Int) -#71 := (<= #18 0::Int) -#163 := (>= #16 0::Int) -#216 := (or #163 #71) -#217 := (not #216) -#67 := (<= #16 0::Int) -#212 := (or #67 #71) -#213 := (not #212) -#220 := (or #213 #217) -#274 := (if #220 #271 #273) -#268 := (= #38 0::Int) +#252 := (* -1::Int #39) +#253 := (+ #38 #252) +#254 := (= #253 0::Int) +#107 := (<= #18 0::Int) +#114 := (>= #16 0::Int) +#199 := (or #114 #107) +#200 := (not #199) +#103 := (<= #16 0::Int) +#197 := (or #103 #107) +#198 := (not #197) +#203 := (or #198 #200) +#257 := (if #203 #254 #256) +#251 := (= #38 0::Int) #20 := (= #16 0::Int) -#275 := (if #20 #268 #274) -#267 := (= #38 #16) +#258 := (if #20 #251 #257) +#250 := (= #38 #16) #21 := (= #18 0::Int) -#276 := (if #21 #267 #275) -#705 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #704) #276) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#708 := (iff #279 #705) -#706 := (iff #276 #276) -#707 := [refl]: #706 -#709 := [quant-intro #707]: #708 -#122 := (* -1::Int #116) -#236 := (if #220 #39 #122) -#239 := (if #20 0::Int #236) -#242 := (if #21 #16 #239) -#245 := (= #38 #242) -#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) -#280 := (iff #248 #279) -#277 := (iff #245 #276) -#278 := [rewrite]: #277 -#281 := [quant-intro #278]: #280 -#72 := (not #71) -#166 := (not #163) -#169 := (and #166 #72) -#68 := (not #67) -#75 := (and #68 #72) -#172 := (or #75 #169) -#188 := (if #172 #39 #122) -#191 := (if #20 0::Int #188) -#194 := (if #21 #16 #191) -#197 := (= #38 #194) -#200 := (forall (vars (?v0 Int) (?v1 Int)) #197) -#249 := (iff #200 #248) -#246 := (iff #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#237 := (= #188 #236) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#219 := [rewrite]: #218 -#214 := (iff #75 #213) -#215 := [rewrite]: #214 -#222 := [monotonicity #215 #219]: #221 -#238 := [monotonicity #222]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [quant-intro #247]: #249 -#207 := (~ #200 #200) -#162 := (~ #197 #197) -#206 := [refl]: #162 -#210 := [nnf-pos #206]: #207 -#78 := (<= 0::Int #16) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#127 := (if #90 #39 #122) -#130 := (if #20 0::Int #127) -#133 := (if #21 #16 #130) -#136 := (= #38 #133) -#139 := (forall (vars (?v0 Int) (?v1 Int)) #136) -#201 := (iff #139 #200) -#198 := (iff #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#189 := (= #127 #188) -#173 := (iff #90 #172) -#170 := (iff #87 #169) -#167 := (iff #79 #166) -#164 := (iff #78 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#190 := [monotonicity #174]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [quant-intro #199]: #201 +#259 := (if #21 #250 #258) +#748 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #747) #259) +#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) +#751 := (iff #262 #748) +#749 := (iff #259 #259) +#750 := [refl]: #749 +#752 := [quant-intro #750]: #751 +#146 := (* -1::Int #140) +#219 := (if #203 #39 #146) +#222 := (if #20 0::Int #219) +#225 := (if #21 #16 #222) +#228 := (= #38 #225) +#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#108 := (not #107) +#115 := (not #114) +#118 := (and #115 #108) +#104 := (not #103) +#111 := (and #104 #108) +#121 := (or #111 #118) +#166 := (if #121 #39 #146) +#169 := (if #20 0::Int #166) +#172 := (if #21 #16 #169) +#175 := (= #38 #172) +#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) +#232 := (iff #178 #231) +#229 := (iff #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#220 := (= #166 #219) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#202 := [rewrite]: #201 +#191 := (iff #111 #198) +#192 := [rewrite]: #191 +#205 := [monotonicity #192 #202]: #204 +#221 := [monotonicity #205]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#189 := (~ #178 #178) +#188 := (~ #175 #175) +#185 := [refl]: #188 +#190 := [nnf-pos #185]: #189 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -37000,198 +34577,209 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#140 := (iff #46 #139) -#137 := (iff #45 #136) -#134 := (= #44 #133) -#131 := (= #43 #130) -#128 := (= #42 #127) -#125 := (= #41 #122) -#119 := (- #116) -#123 := (= #119 #122) -#124 := [rewrite]: #123 -#120 := (= #41 #119) -#117 := (= #40 #116) -#98 := (= #31 #97) -#99 := [rewrite]: #98 -#95 := (= #30 #94) -#96 := [rewrite]: #95 -#118 := [monotonicity #96 #99]: #117 -#121 := [monotonicity #118]: #120 -#126 := [trans #121 #124]: #125 -#91 := (iff #28 #90) -#88 := (iff #27 #87) -#73 := (iff #24 #72) -#74 := [rewrite]: #73 -#80 := (iff #26 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) -#83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #25 #75) -#69 := (iff #23 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#129 := [monotonicity #92 #126]: #128 -#132 := [monotonicity #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [quant-intro #138]: #140 -#50 := [asserted]: #46 -#142 := [mp #50 #141]: #139 -#203 := [mp #142 #202]: #200 -#211 := [mp~ #203 #210]: #200 -#251 := [mp #211 #250]: #248 -#282 := [mp #251 #281]: #279 -#710 := [mp #282 #709]: #705 -#54 := -3::Int +#181 := (iff #46 #178) +#151 := (if #28 #39 #146) +#154 := (if #20 0::Int #151) +#157 := (if #21 #16 #154) +#160 := (= #38 #157) +#163 := (forall (vars (?v0 Int) (?v1 Int)) #160) +#179 := (iff #163 #178) +#176 := (iff #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#167 := (= #151 #166) +#122 := (iff #28 #121) +#119 := (iff #27 #118) +#109 := (iff #24 #108) +#110 := [rewrite]: #109 +#116 := (iff #26 #115) +#117 := [rewrite]: #116 +#120 := [monotonicity #117 #110]: #119 +#112 := (iff #25 #111) +#105 := (iff #23 #104) +#106 := [rewrite]: #105 +#113 := [monotonicity #106 #110]: #112 +#123 := [monotonicity #113 #120]: #122 +#168 := [monotonicity #123]: #167 +#171 := [monotonicity #168]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [quant-intro #177]: #179 +#164 := (iff #46 #163) +#161 := (iff #45 #160) +#158 := (= #44 #157) +#155 := (= #43 #154) +#152 := (= #42 #151) +#149 := (= #41 #146) +#143 := (- #140) +#147 := (= #143 #146) +#148 := [rewrite]: #147 +#144 := (= #41 #143) +#141 := (= #40 #140) +#86 := (= #31 #85) +#87 := [rewrite]: #86 +#83 := (= #30 #82) +#84 := [rewrite]: #83 +#142 := [monotonicity #84 #87]: #141 +#145 := [monotonicity #142]: #144 +#150 := [trans #145 #148]: #149 +#153 := [monotonicity #150]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#182 := [trans #165 #180]: #181 +#139 := [asserted]: #46 +#183 := [mp #139 #182]: #178 +#186 := [mp~ #183 #190]: #178 +#234 := [mp #186 #233]: #231 +#265 := [mp #234 #264]: #262 +#753 := [mp #265 #752]: #748 +#67 := -3::Int #9 := (f4 f5 0::Int) -#57 := (f3 #9 -3::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -3::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := 3::Int #11 := (- 3::Int) #12 := (f3 #9 #11) #13 := (= #12 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #12 #57) -#55 := (= #11 -3::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#481 := (not #705) -#629 := (or #481 #60) -#685 := (* -1::Int -3::Int) -#478 := (* -1::Int 0::Int) -#359 := (mod #478 #685) -#360 := (+ #57 #359) -#692 := (= #360 0::Int) -#354 := (mod 0::Int -3::Int) -#689 := (* -1::Int #354) -#691 := (+ #57 #689) -#348 := (= #691 0::Int) -#370 := (<= -3::Int 0::Int) -#373 := (>= 0::Int 0::Int) -#374 := (or #373 #370) -#371 := (not #374) -#369 := (<= 0::Int 0::Int) -#361 := (or #369 #370) -#372 := (not #361) -#375 := (or #372 #371) -#693 := (if #375 #348 #692) -#368 := (= 0::Int 0::Int) -#694 := (if #368 #60 #693) -#283 := (= -3::Int 0::Int) -#695 := (if #283 #60 #694) -#531 := (or #481 #695) -#627 := (iff #531 #629) -#515 := (iff #629 #629) -#530 := [rewrite]: #515 -#521 := (iff #695 #60) -#639 := (if false #60 #60) -#647 := (iff #639 #60) -#641 := [rewrite]: #647 -#638 := (iff #695 #639) -#637 := (iff #694 #60) -#1 := true -#479 := (if true #60 #60) -#634 := (iff #479 #60) -#636 := [rewrite]: #634 -#480 := (iff #694 #479) -#648 := (iff #693 #60) -#640 := (iff #693 #639) -#644 := (iff #692 #60) -#642 := (= #360 #57) -#382 := (+ #57 0::Int) -#376 := (= #382 #57) -#658 := [rewrite]: #376 -#499 := (= #360 #382) -#657 := (= #359 0::Int) -#649 := (mod 0::Int 3::Int) -#656 := (= #649 0::Int) -#651 := [rewrite]: #656 -#650 := (= #359 #649) -#653 := (= #685 3::Int) -#654 := [rewrite]: #653 -#669 := (= #478 0::Int) -#379 := [rewrite]: #669 -#655 := [monotonicity #379 #654]: #650 -#498 := [trans #655 #651]: #657 -#500 := [monotonicity #498]: #499 -#643 := [trans #500 #658]: #642 -#645 := [monotonicity #643]: #644 -#663 := (iff #348 #60) -#662 := (= #691 #57) -#660 := (= #691 #382) -#380 := (= #689 0::Int) -#668 := (= #689 #478) -#390 := (= #354 0::Int) -#664 := [rewrite]: #390 -#665 := [monotonicity #664]: #668 -#381 := [trans #665 #379]: #380 -#661 := [monotonicity #381]: #660 -#659 := [trans #661 #658]: #662 -#652 := [monotonicity #659]: #663 -#667 := (iff #375 false) -#394 := (or false false) -#289 := (iff #394 false) -#666 := [rewrite]: #289 -#395 := (iff #375 #394) -#671 := (iff #371 false) -#675 := (not true) -#678 := (iff #675 false) -#673 := [rewrite]: #678 -#684 := (iff #371 #675) -#683 := (iff #374 true) -#331 := (or true true) -#336 := (iff #331 true) -#337 := [rewrite]: #336 -#322 := (iff #374 #331) -#347 := (iff #370 true) -#688 := [rewrite]: #347 -#680 := (iff #373 true) -#682 := [rewrite]: #680 -#323 := [monotonicity #682 #688]: #322 -#681 := [trans #323 #337]: #683 -#670 := [monotonicity #681]: #684 -#393 := [trans #670 #673]: #671 -#679 := (iff #372 false) -#676 := (iff #372 #675) -#338 := (iff #361 true) -#672 := (iff #361 #331) -#351 := (iff #369 true) -#687 := [rewrite]: #351 -#335 := [monotonicity #687 #688]: #672 -#674 := [trans #335 #337]: #338 -#677 := [monotonicity #674]: #676 -#317 := [trans #677 #673]: #679 -#396 := [monotonicity #317 #393]: #395 -#389 := [trans #396 #666]: #667 -#646 := [monotonicity #389 #652 #645]: #640 -#477 := [trans #646 #641]: #648 -#686 := (iff #368 true) -#346 := [rewrite]: #686 -#633 := [monotonicity #346 #477]: #480 -#635 := [trans #633 #636]: #637 -#690 := (iff #283 false) -#696 := [rewrite]: #690 -#520 := [monotonicity #696 #635]: #638 -#522 := [trans #520 #641]: #521 -#630 := [monotonicity #522]: #627 -#532 := [trans #630 #530]: #627 -#626 := [quant-inst #8 #54]: #531 -#533 := [mp #626 #532]: #629 -[unit-resolution #533 #66 #710]: false -3882a63fbf201b6600e36717b769e184385c0d9b 329 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #12 #70) +#68 := (= #11 -3::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#524 := (not #748) +#672 := (or #524 #73) +#728 := (* -1::Int -3::Int) +#521 := (* -1::Int 0::Int) +#402 := (mod #521 #728) +#403 := (+ #70 #402) +#735 := (= #403 0::Int) +#397 := (mod 0::Int -3::Int) +#732 := (* -1::Int #397) +#734 := (+ #70 #732) +#391 := (= #734 0::Int) +#413 := (<= -3::Int 0::Int) +#416 := (>= 0::Int 0::Int) +#417 := (or #416 #413) +#414 := (not #417) +#412 := (<= 0::Int 0::Int) +#404 := (or #412 #413) +#415 := (not #404) +#418 := (or #415 #414) +#736 := (if #418 #391 #735) +#411 := (= 0::Int 0::Int) +#737 := (if #411 #73 #736) +#327 := (= -3::Int 0::Int) +#738 := (if #327 #73 #737) +#574 := (or #524 #738) +#670 := (iff #574 #672) +#558 := (iff #672 #672) +#573 := [rewrite]: #558 +#564 := (iff #738 #73) +#682 := (if false #73 #73) +#690 := (iff #682 #73) +#684 := [rewrite]: #690 +#681 := (iff #738 #682) +#680 := (iff #737 #73) +#1 := true +#522 := (if true #73 #73) +#677 := (iff #522 #73) +#679 := [rewrite]: #677 +#523 := (iff #737 #522) +#691 := (iff #736 #73) +#683 := (iff #736 #682) +#687 := (iff #735 #73) +#685 := (= #403 #70) +#425 := (+ #70 0::Int) +#419 := (= #425 #70) +#701 := [rewrite]: #419 +#542 := (= #403 #425) +#700 := (= #402 0::Int) +#692 := (mod 0::Int 3::Int) +#699 := (= #692 0::Int) +#694 := [rewrite]: #699 +#693 := (= #402 #692) +#696 := (= #728 3::Int) +#697 := [rewrite]: #696 +#712 := (= #521 0::Int) +#422 := [rewrite]: #712 +#698 := [monotonicity #422 #697]: #693 +#541 := [trans #698 #694]: #700 +#543 := [monotonicity #541]: #542 +#686 := [trans #543 #701]: #685 +#688 := [monotonicity #686]: #687 +#706 := (iff #391 #73) +#705 := (= #734 #70) +#703 := (= #734 #425) +#423 := (= #732 0::Int) +#711 := (= #732 #521) +#433 := (= #397 0::Int) +#707 := [rewrite]: #433 +#708 := [monotonicity #707]: #711 +#424 := [trans #708 #422]: #423 +#704 := [monotonicity #424]: #703 +#702 := [trans #704 #701]: #705 +#695 := [monotonicity #702]: #706 +#710 := (iff #418 false) +#437 := (or false false) +#333 := (iff #437 false) +#709 := [rewrite]: #333 +#438 := (iff #418 #437) +#714 := (iff #414 false) +#718 := (not true) +#721 := (iff #718 false) +#716 := [rewrite]: #721 +#727 := (iff #414 #718) +#726 := (iff #417 true) +#374 := (or true true) +#379 := (iff #374 true) +#380 := [rewrite]: #379 +#365 := (iff #417 #374) +#390 := (iff #413 true) +#731 := [rewrite]: #390 +#723 := (iff #416 true) +#725 := [rewrite]: #723 +#366 := [monotonicity #725 #731]: #365 +#724 := [trans #366 #380]: #726 +#713 := [monotonicity #724]: #727 +#436 := [trans #713 #716]: #714 +#722 := (iff #415 false) +#719 := (iff #415 #718) +#381 := (iff #404 true) +#715 := (iff #404 #374) +#394 := (iff #412 true) +#730 := [rewrite]: #394 +#378 := [monotonicity #730 #731]: #715 +#717 := [trans #378 #380]: #381 +#720 := [monotonicity #717]: #719 +#360 := [trans #720 #716]: #722 +#439 := [monotonicity #360 #436]: #438 +#432 := [trans #439 #709]: #710 +#689 := [monotonicity #432 #695 #688]: #683 +#520 := [trans #689 #684]: #691 +#729 := (iff #411 true) +#389 := [rewrite]: #729 +#676 := [monotonicity #389 #520]: #523 +#678 := [trans #676 #679]: #680 +#733 := (iff #327 false) +#739 := [rewrite]: #733 +#563 := [monotonicity #739 #678]: #681 +#565 := [trans #563 #684]: #564 +#673 := [monotonicity #565]: #670 +#575 := [trans #673 #573]: #670 +#669 := [quant-inst #8 #67]: #574 +#576 := [mp #669 #575]: #672 +[unit-resolution #576 #81 #753]: false +unsat +2fdc36e59c59da56b5dc6125f7d3f633e77a3d9e 313 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -37201,107 +34789,80 @@ #7 := f5 #37 := (f4 f5 #15) #38 := (f3 #37 #17) -#690 := (pattern #38) +#733 := (pattern #38) #19 := 0::Int -#80 := -1::Int -#84 := (* -1::Int #17) -#81 := (* -1::Int #15) -#103 := (mod #81 #84) -#259 := (+ #38 #103) -#260 := (= #259 0::Int) +#68 := -1::Int +#72 := (* -1::Int #17) +#69 := (* -1::Int #15) +#127 := (mod #69 #72) +#242 := (+ #38 #127) +#243 := (= #242 0::Int) #39 := (mod #15 #17) -#256 := (* -1::Int #39) -#257 := (+ #38 #256) -#258 := (= #257 0::Int) -#58 := (<= #17 0::Int) -#150 := (>= #15 0::Int) -#203 := (or #150 #58) -#204 := (not #203) -#54 := (<= #15 0::Int) -#199 := (or #54 #58) -#200 := (not #199) -#207 := (or #200 #204) -#261 := (if #207 #258 #260) -#255 := (= #38 0::Int) +#239 := (* -1::Int #39) +#240 := (+ #38 #239) +#241 := (= #240 0::Int) +#94 := (<= #17 0::Int) +#101 := (>= #15 0::Int) +#186 := (or #101 #94) +#187 := (not #186) +#90 := (<= #15 0::Int) +#184 := (or #90 #94) +#185 := (not #184) +#190 := (or #185 #187) +#244 := (if #190 #241 #243) +#238 := (= #38 0::Int) #20 := (= #15 0::Int) -#262 := (if #20 #255 #261) -#254 := (= #38 #15) +#245 := (if #20 #238 #244) +#237 := (= #38 #15) #21 := (= #17 0::Int) -#263 := (if #21 #254 #262) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #263) -#266 := (forall (vars (?v0 Int) (?v1 Int)) #263) -#694 := (iff #266 #691) -#692 := (iff #263 #263) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#109 := (* -1::Int #103) -#223 := (if #207 #39 #109) -#226 := (if #20 0::Int #223) -#229 := (if #21 #15 #226) -#232 := (= #38 #229) -#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) -#267 := (iff #235 #266) -#264 := (iff #232 #263) -#265 := [rewrite]: #264 -#268 := [quant-intro #265]: #267 -#59 := (not #58) -#153 := (not #150) -#156 := (and #153 #59) -#55 := (not #54) -#62 := (and #55 #59) -#159 := (or #62 #156) -#175 := (if #159 #39 #109) -#178 := (if #20 0::Int #175) -#181 := (if #21 #15 #178) -#184 := (= #38 #181) -#187 := (forall (vars (?v0 Int) (?v1 Int)) #184) -#236 := (iff #187 #235) -#233 := (iff #184 #232) -#230 := (= #181 #229) -#227 := (= #178 #226) -#224 := (= #175 #223) -#208 := (iff #159 #207) -#205 := (iff #156 #204) -#206 := [rewrite]: #205 -#201 := (iff #62 #200) -#202 := [rewrite]: #201 -#209 := [monotonicity #202 #206]: #208 -#225 := [monotonicity #209]: #224 -#228 := [monotonicity #225]: #227 -#231 := [monotonicity #228]: #230 -#234 := [monotonicity #231]: #233 -#237 := [quant-intro #234]: #236 -#149 := (~ #187 #187) -#194 := (~ #184 #184) -#148 := [refl]: #194 -#197 := [nnf-pos #148]: #149 -#65 := (<= 0::Int #15) -#66 := (not #65) -#74 := (and #66 #59) -#77 := (or #62 #74) -#114 := (if #77 #39 #109) -#117 := (if #20 0::Int #114) -#120 := (if #21 #15 #117) -#123 := (= #38 #120) -#126 := (forall (vars (?v0 Int) (?v1 Int)) #123) -#188 := (iff #126 #187) -#185 := (iff #123 #184) -#182 := (= #120 #181) -#179 := (= #117 #178) -#176 := (= #114 #175) -#160 := (iff #77 #159) -#157 := (iff #74 #156) -#154 := (iff #66 #153) -#151 := (iff #65 #150) -#152 := [rewrite]: #151 -#155 := [monotonicity #152]: #154 -#158 := [monotonicity #155]: #157 -#161 := [monotonicity #158]: #160 -#177 := [monotonicity #161]: #176 -#180 := [monotonicity #177]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [quant-intro #186]: #188 +#246 := (if #21 #237 #245) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #246) +#249 := (forall (vars (?v0 Int) (?v1 Int)) #246) +#737 := (iff #249 #734) +#735 := (iff #246 #246) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#133 := (* -1::Int #127) +#206 := (if #190 #39 #133) +#209 := (if #20 0::Int #206) +#212 := (if #21 #15 #209) +#215 := (= #38 #212) +#218 := (forall (vars (?v0 Int) (?v1 Int)) #215) +#250 := (iff #218 #249) +#247 := (iff #215 #246) +#248 := [rewrite]: #247 +#251 := [quant-intro #248]: #250 +#95 := (not #94) +#102 := (not #101) +#105 := (and #102 #95) +#91 := (not #90) +#98 := (and #91 #95) +#108 := (or #98 #105) +#153 := (if #108 #39 #133) +#156 := (if #20 0::Int #153) +#159 := (if #21 #15 #156) +#162 := (= #38 #159) +#165 := (forall (vars (?v0 Int) (?v1 Int)) #162) +#219 := (iff #165 #218) +#216 := (iff #162 #215) +#213 := (= #159 #212) +#210 := (= #156 #209) +#207 := (= #153 #206) +#191 := (iff #108 #190) +#188 := (iff #105 #187) +#189 := [rewrite]: #188 +#178 := (iff #98 #185) +#179 := [rewrite]: #178 +#192 := [monotonicity #179 #189]: #191 +#208 := [monotonicity #192]: #207 +#211 := [monotonicity #208]: #210 +#214 := [monotonicity #211]: #213 +#217 := [monotonicity #214]: #216 +#220 := [quant-intro #217]: #219 +#176 := (~ #165 #165) +#175 := (~ #162 #162) +#172 := [refl]: #175 +#177 := [nnf-pos #172]: #176 #31 := (- #17) #30 := (- #15) #40 := (mod #30 #31) @@ -37317,211 +34878,222 @@ #44 := (if #21 #15 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#127 := (iff #46 #126) -#124 := (iff #45 #123) -#121 := (= #44 #120) -#118 := (= #43 #117) -#115 := (= #42 #114) -#112 := (= #41 #109) -#106 := (- #103) -#110 := (= #106 #109) -#111 := [rewrite]: #110 -#107 := (= #41 #106) -#104 := (= #40 #103) -#85 := (= #31 #84) -#86 := [rewrite]: #85 -#82 := (= #30 #81) -#83 := [rewrite]: #82 -#105 := [monotonicity #83 #86]: #104 -#108 := [monotonicity #105]: #107 -#113 := [trans #108 #111]: #112 -#78 := (iff #28 #77) -#75 := (iff #27 #74) -#60 := (iff #24 #59) -#61 := [rewrite]: #60 -#67 := (iff #26 #66) -#71 := (iff #66 #66) -#69 := (iff #65 #65) -#70 := [rewrite]: #69 -#72 := [monotonicity #70]: #71 -#68 := [rewrite]: #67 -#73 := [trans #68 #72]: #67 -#76 := [monotonicity #73 #61]: #75 -#63 := (iff #25 #62) -#56 := (iff #23 #55) -#57 := [rewrite]: #56 -#64 := [monotonicity #57 #61]: #63 -#79 := [monotonicity #64 #76]: #78 -#116 := [monotonicity #79 #113]: #115 -#119 := [monotonicity #116]: #118 -#122 := [monotonicity #119]: #121 -#125 := [monotonicity #122]: #124 -#128 := [quant-intro #125]: #127 -#50 := [asserted]: #46 -#129 := [mp #50 #128]: #126 -#190 := [mp #129 #189]: #187 -#198 := [mp~ #190 #197]: #187 -#238 := [mp #198 #237]: #235 -#269 := [mp #238 #268]: #266 -#696 := [mp #269 #695]: #691 +#168 := (iff #46 #165) +#138 := (if #28 #39 #133) +#141 := (if #20 0::Int #138) +#144 := (if #21 #15 #141) +#147 := (= #38 #144) +#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) +#166 := (iff #150 #165) +#163 := (iff #147 #162) +#160 := (= #144 #159) +#157 := (= #141 #156) +#154 := (= #138 #153) +#109 := (iff #28 #108) +#106 := (iff #27 #105) +#96 := (iff #24 #95) +#97 := [rewrite]: #96 +#103 := (iff #26 #102) +#104 := [rewrite]: #103 +#107 := [monotonicity #104 #97]: #106 +#99 := (iff #25 #98) +#92 := (iff #23 #91) +#93 := [rewrite]: #92 +#100 := [monotonicity #93 #97]: #99 +#110 := [monotonicity #100 #107]: #109 +#155 := [monotonicity #110]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [quant-intro #164]: #166 +#151 := (iff #46 #150) +#148 := (iff #45 #147) +#145 := (= #44 #144) +#142 := (= #43 #141) +#139 := (= #42 #138) +#136 := (= #41 #133) +#130 := (- #127) +#134 := (= #130 #133) +#135 := [rewrite]: #134 +#131 := (= #41 #130) +#128 := (= #40 #127) +#73 := (= #31 #72) +#74 := [rewrite]: #73 +#70 := (= #30 #69) +#71 := [rewrite]: #70 +#129 := [monotonicity #71 #74]: #128 +#132 := [monotonicity #129]: #131 +#137 := [trans #132 #135]: #136 +#140 := [monotonicity #137]: #139 +#143 := [monotonicity #140]: #142 +#146 := [monotonicity #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [quant-intro #149]: #151 +#169 := [trans #152 #167]: #168 +#126 := [asserted]: #46 +#170 := [mp #126 #169]: #165 +#173 := [mp~ #170 #177]: #165 +#221 := [mp #173 #220]: #218 +#252 := [mp #221 #251]: #249 +#739 := [mp #252 #738]: #734 #8 := 1::Int #10 := 3::Int #9 := (f4 f5 1::Int) #11 := (f3 #9 3::Int) #12 := (= #11 1::Int) #13 := (not #12) -#48 := [asserted]: #13 -#610 := (not #691) -#606 := (or #610 #12) -#345 := (* -1::Int 3::Int) -#671 := (* -1::Int 1::Int) -#346 := (mod #671 #345) -#678 := (+ #11 #346) -#679 := (= #678 0::Int) -#675 := (mod 1::Int 3::Int) -#677 := (* -1::Int #675) -#334 := (+ #11 #677) -#464 := (= #334 0::Int) -#347 := (<= 3::Int 0::Int) -#360 := (>= 1::Int 0::Int) -#357 := (or #360 #347) -#361 := (not #357) -#356 := (<= 1::Int 0::Int) -#358 := (or #356 #347) -#359 := (not #358) -#340 := (or #359 #361) -#680 := (if #340 #464 #679) -#355 := (= #11 0::Int) -#354 := (= 1::Int 0::Int) -#681 := (if #354 #355 #680) -#270 := (= 3::Int 0::Int) -#676 := (if #270 #12 #681) -#611 := (or #610 #676) -#601 := (iff #611 #606) -#603 := (iff #606 #606) -#597 := [rewrite]: #603 -#608 := (iff #676 #12) -#605 := (if false #12 #12) -#596 := (iff #605 #12) -#598 := [rewrite]: #596 -#607 := (iff #676 #605) -#614 := (iff #681 #12) -#521 := (if false #355 #12) -#524 := (iff #521 #12) -#617 := [rewrite]: #524 -#522 := (iff #681 #521) -#512 := (iff #680 #12) -#508 := -2::Int -#467 := (= #11 -2::Int) -#1 := true -#616 := (if true #12 #467) -#518 := (iff #616 #12) -#519 := [rewrite]: #518 -#501 := (iff #680 #616) -#612 := (iff #679 #467) -#626 := 2::Int -#619 := (+ 2::Int #11) -#624 := (= #619 0::Int) -#615 := (iff #624 #467) -#517 := [rewrite]: #615 -#506 := (iff #679 #624) -#623 := (= #678 #619) -#463 := (+ #11 2::Int) -#620 := (= #463 #619) -#622 := [rewrite]: #620 -#465 := (= #678 #463) -#627 := (= #346 2::Int) -#486 := -3::Int -#630 := (mod -1::Int -3::Int) -#632 := (= #630 2::Int) -#633 := [rewrite]: #632 -#631 := (= #346 #630) -#628 := (= #345 -3::Int) -#629 := [rewrite]: #628 -#368 := (= #671 -1::Int) -#646 := [rewrite]: #368 -#625 := [monotonicity #646 #629]: #631 -#634 := [trans #625 #633]: #627 -#466 := [monotonicity #634]: #465 -#621 := [trans #466 #622]: #623 -#507 := [monotonicity #621]: #506 -#613 := [trans #507 #517]: #612 -#484 := (iff #464 #12) -#649 := (+ -1::Int #11) -#636 := (= #649 0::Int) -#637 := (iff #636 #12) -#643 := [rewrite]: #637 -#641 := (iff #464 #636) -#640 := (= #334 #649) -#644 := (+ #11 -1::Int) -#638 := (= #644 #649) -#639 := [rewrite]: #638 -#648 := (= #334 #644) -#647 := (= #677 -1::Int) -#366 := (= #677 #671) -#655 := (= #675 1::Int) -#365 := [rewrite]: #655 -#367 := [monotonicity #365]: #366 -#362 := [trans #367 #646]: #647 -#645 := [monotonicity #362]: #648 -#635 := [trans #645 #639]: #640 -#642 := [monotonicity #635]: #641 -#485 := [trans #642 #643]: #484 -#654 := (iff #340 true) -#309 := (or true false) -#670 := (iff #309 true) -#656 := [rewrite]: #670 -#376 := (iff #340 #309) -#653 := (iff #361 false) -#380 := (not true) -#276 := (iff #380 false) -#652 := [rewrite]: #276 -#381 := (iff #361 #380) -#657 := (iff #357 true) -#669 := (iff #357 #309) -#674 := (iff #347 false) -#317 := [rewrite]: #674 -#668 := (iff #360 true) -#308 := [rewrite]: #668 -#667 := [monotonicity #308 #317]: #669 -#379 := [trans #667 #656]: #657 -#382 := [monotonicity #379]: #381 -#375 := [trans #382 #652]: #653 -#303 := (iff #359 true) -#662 := (not false) -#659 := (iff #662 true) -#665 := [rewrite]: #659 -#663 := (iff #359 #662) -#660 := (iff #358 false) -#658 := (or false false) -#323 := (iff #658 false) -#324 := [rewrite]: #323 -#321 := (iff #358 #658) -#673 := (iff #356 false) -#333 := [rewrite]: #673 -#322 := [monotonicity #333 #317]: #321 -#661 := [trans #322 #324]: #660 -#664 := [monotonicity #661]: #663 -#666 := [trans #664 #665]: #303 -#650 := [monotonicity #666 #375]: #376 -#651 := [trans #650 #656]: #654 -#516 := [monotonicity #651 #485 #613]: #501 -#520 := [trans #516 #519]: #512 -#332 := (iff #354 false) -#337 := [rewrite]: #332 -#523 := [monotonicity #337 #520]: #522 -#618 := [trans #523 #617]: #614 -#682 := (iff #270 false) -#672 := [rewrite]: #682 -#599 := [monotonicity #672 #618]: #607 -#609 := [trans #599 #598]: #608 -#602 := [monotonicity #609]: #601 -#604 := [trans #602 #597]: #601 -#600 := [quant-inst #8 #10]: #611 -#588 := [mp #600 #604]: #606 -[unit-resolution #588 #48 #696]: false -8fb8eaf7501da70df2af1f1c31da5641a4aee45b 304 0 -unsat +#66 := [asserted]: #13 +#652 := (not #734) +#653 := (or #652 #12) +#388 := (* -1::Int 3::Int) +#714 := (* -1::Int 1::Int) +#389 := (mod #714 #388) +#721 := (+ #11 #389) +#722 := (= #721 0::Int) +#718 := (mod 1::Int 3::Int) +#720 := (* -1::Int #718) +#377 := (+ #11 #720) +#507 := (= #377 0::Int) +#390 := (<= 3::Int 0::Int) +#403 := (>= 1::Int 0::Int) +#400 := (or #403 #390) +#404 := (not #400) +#399 := (<= 1::Int 0::Int) +#401 := (or #399 #390) +#402 := (not #401) +#383 := (or #402 #404) +#723 := (if #383 #507 #722) +#398 := (= #11 0::Int) +#397 := (= 1::Int 0::Int) +#724 := (if #397 #398 #723) +#313 := (= 3::Int 0::Int) +#719 := (if #313 #12 #724) +#649 := (or #652 #719) +#643 := (iff #649 #653) +#645 := (iff #653 #653) +#646 := [rewrite]: #645 +#641 := (iff #719 #12) +#661 := (if false #12 #12) +#642 := (iff #661 #12) +#639 := [rewrite]: #642 +#648 := (iff #719 #661) +#660 := (iff #724 #12) +#563 := (if false #398 #12) +#566 := (iff #563 #12) +#567 := [rewrite]: #566 +#564 := (iff #724 #563) +#562 := (iff #723 #12) +#550 := -2::Int +#551 := (= #11 -2::Int) +#1 := true +#656 := (if true #12 #551) +#559 := (iff #656 #12) +#561 := [rewrite]: #559 +#659 := (iff #723 #656) +#560 := (iff #722 #551) +#273 := 2::Int +#509 := (+ 2::Int #11) +#664 := (= #509 0::Int) +#510 := (iff #664 #551) +#658 := [rewrite]: #510 +#667 := (iff #722 #664) +#665 := (= #721 #509) +#677 := (+ #11 2::Int) +#662 := (= #677 #509) +#663 := [rewrite]: #662 +#506 := (= #721 #677) +#676 := (= #389 2::Int) +#529 := -3::Int +#673 := (mod -1::Int -3::Int) +#669 := (= #673 2::Int) +#675 := [rewrite]: #669 +#674 := (= #389 #673) +#671 := (= #388 -3::Int) +#672 := [rewrite]: #671 +#411 := (= #714 -1::Int) +#689 := [rewrite]: #411 +#668 := [monotonicity #689 #672]: #674 +#670 := [trans #668 #675]: #676 +#508 := [monotonicity #670]: #506 +#666 := [trans #508 #663]: #665 +#549 := [monotonicity #666]: #667 +#655 := [trans #549 #658]: #560 +#527 := (iff #507 #12) +#692 := (+ -1::Int #11) +#679 := (= #692 0::Int) +#680 := (iff #679 #12) +#686 := [rewrite]: #680 +#684 := (iff #507 #679) +#683 := (= #377 #692) +#687 := (+ #11 -1::Int) +#681 := (= #687 #692) +#682 := [rewrite]: #681 +#691 := (= #377 #687) +#690 := (= #720 -1::Int) +#409 := (= #720 #714) +#698 := (= #718 1::Int) +#408 := [rewrite]: #698 +#410 := [monotonicity #408]: #409 +#405 := [trans #410 #689]: #690 +#688 := [monotonicity #405]: #691 +#678 := [trans #688 #682]: #683 +#685 := [monotonicity #678]: #684 +#528 := [trans #685 #686]: #527 +#697 := (iff #383 true) +#352 := (or true false) +#713 := (iff #352 true) +#699 := [rewrite]: #713 +#419 := (iff #383 #352) +#696 := (iff #404 false) +#423 := (not true) +#319 := (iff #423 false) +#695 := [rewrite]: #319 +#424 := (iff #404 #423) +#700 := (iff #400 true) +#712 := (iff #400 #352) +#717 := (iff #390 false) +#360 := [rewrite]: #717 +#711 := (iff #403 true) +#351 := [rewrite]: #711 +#710 := [monotonicity #351 #360]: #712 +#422 := [trans #710 #699]: #700 +#425 := [monotonicity #422]: #424 +#418 := [trans #425 #695]: #696 +#346 := (iff #402 true) +#705 := (not false) +#702 := (iff #705 true) +#708 := [rewrite]: #702 +#706 := (iff #402 #705) +#703 := (iff #401 false) +#701 := (or false false) +#366 := (iff #701 false) +#367 := [rewrite]: #366 +#364 := (iff #401 #701) +#716 := (iff #399 false) +#376 := [rewrite]: #716 +#365 := [monotonicity #376 #360]: #364 +#704 := [trans #365 #367]: #703 +#707 := [monotonicity #704]: #706 +#709 := [trans #707 #708]: #346 +#693 := [monotonicity #709 #418]: #419 +#694 := [trans #693 #699]: #697 +#544 := [monotonicity #694 #528 #655]: #659 +#555 := [trans #544 #561]: #562 +#375 := (iff #397 false) +#380 := [rewrite]: #375 +#565 := [monotonicity #380 #555]: #564 +#657 := [trans #565 #567]: #660 +#725 := (iff #313 false) +#715 := [rewrite]: #725 +#650 := [monotonicity #715 #657]: #648 +#651 := [trans #650 #639]: #641 +#644 := [monotonicity #651]: #643 +#640 := [trans #644 #646]: #643 +#654 := [quant-inst #8 #10]: #649 +#647 := [mp #654 #640]: #653 +[unit-resolution #647 #66 #739]: false +unsat +4ee9cc2bcab1ec5264a5fe09246eabd52d90f088 288 0 #2 := false decl f3 :: (-> S2 Int Int) #17 := (:var 0 Int) @@ -37531,107 +35103,80 @@ #7 := f5 #36 := (f4 f5 #15) #37 := (f3 #36 #17) -#690 := (pattern #37) +#733 := (pattern #37) #11 := 0::Int -#79 := -1::Int -#83 := (* -1::Int #17) -#80 := (* -1::Int #15) -#102 := (mod #80 #83) -#258 := (+ #37 #102) -#259 := (= #258 0::Int) +#67 := -1::Int +#71 := (* -1::Int #17) +#68 := (* -1::Int #15) +#126 := (mod #68 #71) +#241 := (+ #37 #126) +#242 := (= #241 0::Int) #38 := (mod #15 #17) -#255 := (* -1::Int #38) -#256 := (+ #37 #255) -#257 := (= #256 0::Int) -#57 := (<= #17 0::Int) -#149 := (>= #15 0::Int) -#202 := (or #149 #57) -#203 := (not #202) -#53 := (<= #15 0::Int) -#198 := (or #53 #57) -#199 := (not #198) -#206 := (or #199 #203) -#260 := (if #206 #257 #259) -#254 := (= #37 0::Int) +#238 := (* -1::Int #38) +#239 := (+ #37 #238) +#240 := (= #239 0::Int) +#93 := (<= #17 0::Int) +#100 := (>= #15 0::Int) +#185 := (or #100 #93) +#186 := (not #185) +#89 := (<= #15 0::Int) +#183 := (or #89 #93) +#184 := (not #183) +#189 := (or #184 #186) +#243 := (if #189 #240 #242) +#237 := (= #37 0::Int) #19 := (= #15 0::Int) -#261 := (if #19 #254 #260) -#253 := (= #37 #15) +#244 := (if #19 #237 #243) +#236 := (= #37 #15) #20 := (= #17 0::Int) -#262 := (if #20 #253 #261) -#691 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #690) #262) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#694 := (iff #265 #691) -#692 := (iff #262 #262) -#693 := [refl]: #692 -#695 := [quant-intro #693]: #694 -#108 := (* -1::Int #102) -#222 := (if #206 #38 #108) -#225 := (if #19 0::Int #222) -#228 := (if #20 #15 #225) -#231 := (= #37 #228) -#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) -#266 := (iff #234 #265) -#263 := (iff #231 #262) -#264 := [rewrite]: #263 -#267 := [quant-intro #264]: #266 -#58 := (not #57) -#152 := (not #149) -#155 := (and #152 #58) -#54 := (not #53) -#61 := (and #54 #58) -#158 := (or #61 #155) -#174 := (if #158 #38 #108) -#177 := (if #19 0::Int #174) -#180 := (if #20 #15 #177) -#183 := (= #37 #180) -#186 := (forall (vars (?v0 Int) (?v1 Int)) #183) -#235 := (iff #186 #234) -#232 := (iff #183 #231) -#229 := (= #180 #228) -#226 := (= #177 #225) -#223 := (= #174 #222) -#207 := (iff #158 #206) -#204 := (iff #155 #203) -#205 := [rewrite]: #204 -#200 := (iff #61 #199) -#201 := [rewrite]: #200 -#208 := [monotonicity #201 #205]: #207 -#224 := [monotonicity #208]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [quant-intro #233]: #235 -#193 := (~ #186 #186) -#148 := (~ #183 #183) -#192 := [refl]: #148 -#196 := [nnf-pos #192]: #193 -#64 := (<= 0::Int #15) -#65 := (not #64) -#73 := (and #65 #58) -#76 := (or #61 #73) -#113 := (if #76 #38 #108) -#116 := (if #19 0::Int #113) -#119 := (if #20 #15 #116) -#122 := (= #37 #119) -#125 := (forall (vars (?v0 Int) (?v1 Int)) #122) -#187 := (iff #125 #186) -#184 := (iff #122 #183) -#181 := (= #119 #180) -#178 := (= #116 #177) -#175 := (= #113 #174) -#159 := (iff #76 #158) -#156 := (iff #73 #155) -#153 := (iff #65 #152) -#150 := (iff #64 #149) -#151 := [rewrite]: #150 -#154 := [monotonicity #151]: #153 -#157 := [monotonicity #154]: #156 -#160 := [monotonicity #157]: #159 -#176 := [monotonicity #160]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#185 := [monotonicity #182]: #184 -#188 := [quant-intro #185]: #187 +#245 := (if #20 #236 #244) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #245) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#737 := (iff #248 #734) +#735 := (iff #245 #245) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#132 := (* -1::Int #126) +#205 := (if #189 #38 #132) +#208 := (if #19 0::Int #205) +#211 := (if #20 #15 #208) +#214 := (= #37 #211) +#217 := (forall (vars (?v0 Int) (?v1 Int)) #214) +#249 := (iff #217 #248) +#246 := (iff #214 #245) +#247 := [rewrite]: #246 +#250 := [quant-intro #247]: #249 +#94 := (not #93) +#101 := (not #100) +#104 := (and #101 #94) +#90 := (not #89) +#97 := (and #90 #94) +#107 := (or #97 #104) +#152 := (if #107 #38 #132) +#155 := (if #19 0::Int #152) +#158 := (if #20 #15 #155) +#161 := (= #37 #158) +#164 := (forall (vars (?v0 Int) (?v1 Int)) #161) +#218 := (iff #164 #217) +#215 := (iff #161 #214) +#212 := (= #158 #211) +#209 := (= #155 #208) +#206 := (= #152 #205) +#190 := (iff #107 #189) +#187 := (iff #104 #186) +#188 := [rewrite]: #187 +#177 := (iff #97 #184) +#178 := [rewrite]: #177 +#191 := [monotonicity #178 #188]: #190 +#207 := [monotonicity #191]: #206 +#210 := [monotonicity #207]: #209 +#213 := [monotonicity #210]: #212 +#216 := [monotonicity #213]: #215 +#219 := [quant-intro #216]: #218 +#175 := (~ #164 #164) +#174 := (~ #161 #161) +#171 := [refl]: #174 +#176 := [nnf-pos #171]: #175 #30 := (- #17) #29 := (- #15) #39 := (mod #29 #30) @@ -37647,186 +35192,197 @@ #43 := (if #20 #15 #42) #44 := (= #37 #43) #45 := (forall (vars (?v0 Int) (?v1 Int)) #44) -#126 := (iff #45 #125) -#123 := (iff #44 #122) -#120 := (= #43 #119) -#117 := (= #42 #116) -#114 := (= #41 #113) -#111 := (= #40 #108) -#105 := (- #102) -#109 := (= #105 #108) -#110 := [rewrite]: #109 -#106 := (= #40 #105) -#103 := (= #39 #102) -#84 := (= #30 #83) -#85 := [rewrite]: #84 -#81 := (= #29 #80) -#82 := [rewrite]: #81 -#104 := [monotonicity #82 #85]: #103 -#107 := [monotonicity #104]: #106 -#112 := [trans #107 #110]: #111 -#77 := (iff #27 #76) -#74 := (iff #26 #73) -#59 := (iff #23 #58) -#60 := [rewrite]: #59 -#66 := (iff #25 #65) -#70 := (iff #65 #65) -#68 := (iff #64 #64) -#69 := [rewrite]: #68 -#71 := [monotonicity #69]: #70 -#67 := [rewrite]: #66 -#72 := [trans #67 #71]: #66 -#75 := [monotonicity #72 #60]: #74 -#62 := (iff #24 #61) -#55 := (iff #22 #54) -#56 := [rewrite]: #55 -#63 := [monotonicity #56 #60]: #62 -#78 := [monotonicity #63 #75]: #77 -#115 := [monotonicity #78 #112]: #114 -#118 := [monotonicity #115]: #117 -#121 := [monotonicity #118]: #120 -#124 := [monotonicity #121]: #123 -#127 := [quant-intro #124]: #126 -#49 := [asserted]: #45 -#128 := [mp #49 #127]: #125 -#189 := [mp #128 #188]: #186 -#197 := [mp~ #189 #196]: #186 -#237 := [mp #197 #236]: #234 -#268 := [mp #237 #267]: #265 -#696 := [mp #268 #695]: #691 +#167 := (iff #45 #164) +#137 := (if #27 #38 #132) +#140 := (if #19 0::Int #137) +#143 := (if #20 #15 #140) +#146 := (= #37 #143) +#149 := (forall (vars (?v0 Int) (?v1 Int)) #146) +#165 := (iff #149 #164) +#162 := (iff #146 #161) +#159 := (= #143 #158) +#156 := (= #140 #155) +#153 := (= #137 #152) +#108 := (iff #27 #107) +#105 := (iff #26 #104) +#95 := (iff #23 #94) +#96 := [rewrite]: #95 +#102 := (iff #25 #101) +#103 := [rewrite]: #102 +#106 := [monotonicity #103 #96]: #105 +#98 := (iff #24 #97) +#91 := (iff #22 #90) +#92 := [rewrite]: #91 +#99 := [monotonicity #92 #96]: #98 +#109 := [monotonicity #99 #106]: #108 +#154 := [monotonicity #109]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [quant-intro #163]: #165 +#150 := (iff #45 #149) +#147 := (iff #44 #146) +#144 := (= #43 #143) +#141 := (= #42 #140) +#138 := (= #41 #137) +#135 := (= #40 #132) +#129 := (- #126) +#133 := (= #129 #132) +#134 := [rewrite]: #133 +#130 := (= #40 #129) +#127 := (= #39 #126) +#72 := (= #30 #71) +#73 := [rewrite]: #72 +#69 := (= #29 #68) +#70 := [rewrite]: #69 +#128 := [monotonicity #70 #73]: #127 +#131 := [monotonicity #128]: #130 +#136 := [trans #131 #134]: #135 +#139 := [monotonicity #136]: #138 +#142 := [monotonicity #139]: #141 +#145 := [monotonicity #142]: #144 +#148 := [monotonicity #145]: #147 +#151 := [quant-intro #148]: #150 +#168 := [trans #151 #166]: #167 +#125 := [asserted]: #45 +#169 := [mp #125 #168]: #164 +#172 := [mp~ #169 #176]: #164 +#220 := [mp #172 #219]: #217 +#251 := [mp #220 #250]: #248 +#739 := [mp #251 #738]: #734 #8 := 3::Int #9 := (f4 f5 3::Int) #10 := (f3 #9 3::Int) #12 := (= #10 0::Int) #13 := (not #12) -#47 := [asserted]: #13 -#517 := (not #691) -#612 := (or #517 #12) -#334 := (* -1::Int 3::Int) -#464 := (mod #334 #334) -#671 := (+ #10 #464) -#345 := (= #671 0::Int) -#361 := (mod 3::Int 3::Int) -#340 := (* -1::Int #361) -#675 := (+ #10 #340) -#677 := (= #675 0::Int) -#355 := (<= 3::Int 0::Int) -#358 := (>= 3::Int 0::Int) -#359 := (or #358 #355) -#360 := (not #359) -#356 := (or #355 #355) -#347 := (not #356) -#357 := (or #347 #360) -#346 := (if #357 #677 #345) -#269 := (= 3::Int 0::Int) -#678 := (if #269 #12 #346) -#354 := (= #10 3::Int) -#679 := (if #269 #354 #678) -#613 := (or #517 #679) -#501 := (iff #613 #612) -#518 := (iff #612 #612) -#519 := [rewrite]: #518 -#467 := (iff #679 #12) -#621 := (if false #354 #12) -#507 := (iff #621 #12) -#508 := [rewrite]: #507 -#624 := (iff #679 #621) -#622 := (iff #678 #12) -#463 := (if false #12 #12) -#619 := (iff #463 #12) -#620 := [rewrite]: #619 -#465 := (iff #678 #463) -#627 := (iff #346 #12) -#1 := true -#631 := (if true #12 #12) -#632 := (iff #631 #12) -#633 := [rewrite]: #632 -#625 := (iff #346 #631) -#629 := (iff #345 #12) -#486 := (= #671 #10) -#366 := (+ #10 0::Int) -#646 := (= #366 #10) -#647 := [rewrite]: #646 -#484 := (= #671 #366) -#637 := (= #464 0::Int) -#649 := -3::Int -#640 := (mod -3::Int -3::Int) -#641 := (= #640 0::Int) -#642 := [rewrite]: #641 -#635 := (= #464 #640) -#638 := (= #334 -3::Int) -#639 := [rewrite]: #638 -#636 := [monotonicity #639 #639]: #635 -#643 := [trans #636 #642]: #637 -#485 := [monotonicity #643]: #484 -#628 := [trans #485 #647]: #486 -#630 := [monotonicity #628]: #629 -#648 := (iff #677 #12) -#362 := (= #675 #10) -#367 := (= #675 #366) -#655 := (= #340 0::Int) -#375 := (* -1::Int 0::Int) -#654 := (= #375 0::Int) -#651 := [rewrite]: #654 -#376 := (= #340 #375) -#652 := (= #361 0::Int) -#653 := [rewrite]: #652 -#650 := [monotonicity #653]: #376 -#365 := [trans #650 #651]: #655 -#368 := [monotonicity #365]: #367 -#644 := [trans #368 #647]: #362 -#645 := [monotonicity #644]: #648 -#382 := (iff #357 true) -#664 := (or true false) -#303 := (iff #664 true) -#666 := [rewrite]: #303 -#380 := (iff #357 #664) -#657 := (iff #360 false) -#309 := (not true) -#670 := (iff #309 false) -#656 := [rewrite]: #670 -#669 := (iff #360 #309) -#668 := (iff #359 true) -#659 := (iff #359 #664) -#676 := (iff #355 false) -#682 := [rewrite]: #676 -#662 := (iff #358 true) +#65 := [asserted]: #13 +#560 := (not #734) +#655 := (or #560 #12) +#377 := (* -1::Int 3::Int) +#507 := (mod #377 #377) +#714 := (+ #10 #507) +#388 := (= #714 0::Int) +#404 := (mod 3::Int 3::Int) +#383 := (* -1::Int #404) +#718 := (+ #10 #383) +#720 := (= #718 0::Int) +#398 := (<= 3::Int 0::Int) +#401 := (>= 3::Int 0::Int) +#402 := (or #401 #398) +#403 := (not #402) +#399 := (or #398 #398) +#390 := (not #399) +#400 := (or #390 #403) +#389 := (if #400 #720 #388) +#313 := (= 3::Int 0::Int) +#721 := (if #313 #12 #389) +#397 := (= #10 3::Int) +#722 := (if #313 #397 #721) +#656 := (or #560 #722) +#544 := (iff #656 #655) +#561 := (iff #655 #655) +#562 := [rewrite]: #561 +#510 := (iff #722 #12) +#664 := (if false #397 #12) +#550 := (iff #664 #12) +#551 := [rewrite]: #550 +#667 := (iff #722 #664) +#665 := (iff #721 #12) +#506 := (if false #12 #12) +#662 := (iff #506 #12) #663 := [rewrite]: #662 -#665 := [monotonicity #663 #682]: #659 -#308 := [trans #665 #666]: #668 -#667 := [monotonicity #308]: #669 -#379 := [trans #667 #656]: #657 -#660 := (iff #347 true) -#658 := (not false) -#323 := (iff #658 true) -#324 := [rewrite]: #323 -#321 := (iff #347 #658) -#674 := (iff #356 false) -#672 := (or false false) -#673 := (iff #672 false) -#333 := [rewrite]: #673 -#332 := (iff #356 #672) -#337 := [monotonicity #682 #682]: #332 -#317 := [trans #337 #333]: #674 -#322 := [monotonicity #317]: #321 -#661 := [trans #322 #324]: #660 -#381 := [monotonicity #661 #379]: #380 -#275 := [trans #381 #666]: #382 -#626 := [monotonicity #275 #645 #630]: #625 -#634 := [trans #626 #633]: #627 -#680 := (iff #269 false) -#681 := [rewrite]: #680 -#466 := [monotonicity #681 #634]: #465 -#623 := [trans #466 #620]: #622 -#506 := [monotonicity #681 #623]: #624 -#615 := [trans #506 #508]: #467 -#516 := [monotonicity #615]: #501 -#512 := [trans #516 #519]: #501 -#616 := [quant-inst #8 #8]: #613 -#520 := [mp #616 #512]: #612 -[unit-resolution #520 #47 #696]: false -02010738b40a0ce955cc2273aa34fc24db09e1c2 335 0 -unsat +#508 := (iff #721 #506) +#670 := (iff #389 #12) +#1 := true +#674 := (if true #12 #12) +#675 := (iff #674 #12) +#676 := [rewrite]: #675 +#668 := (iff #389 #674) +#672 := (iff #388 #12) +#529 := (= #714 #10) +#409 := (+ #10 0::Int) +#689 := (= #409 #10) +#690 := [rewrite]: #689 +#527 := (= #714 #409) +#680 := (= #507 0::Int) +#692 := -3::Int +#683 := (mod -3::Int -3::Int) +#684 := (= #683 0::Int) +#685 := [rewrite]: #684 +#678 := (= #507 #683) +#681 := (= #377 -3::Int) +#682 := [rewrite]: #681 +#679 := [monotonicity #682 #682]: #678 +#686 := [trans #679 #685]: #680 +#528 := [monotonicity #686]: #527 +#671 := [trans #528 #690]: #529 +#673 := [monotonicity #671]: #672 +#691 := (iff #720 #12) +#405 := (= #718 #10) +#410 := (= #718 #409) +#698 := (= #383 0::Int) +#418 := (* -1::Int 0::Int) +#697 := (= #418 0::Int) +#694 := [rewrite]: #697 +#419 := (= #383 #418) +#695 := (= #404 0::Int) +#696 := [rewrite]: #695 +#693 := [monotonicity #696]: #419 +#408 := [trans #693 #694]: #698 +#411 := [monotonicity #408]: #410 +#687 := [trans #411 #690]: #405 +#688 := [monotonicity #687]: #691 +#425 := (iff #400 true) +#707 := (or true false) +#346 := (iff #707 true) +#709 := [rewrite]: #346 +#423 := (iff #400 #707) +#700 := (iff #403 false) +#352 := (not true) +#713 := (iff #352 false) +#699 := [rewrite]: #713 +#712 := (iff #403 #352) +#711 := (iff #402 true) +#702 := (iff #402 #707) +#719 := (iff #398 false) +#725 := [rewrite]: #719 +#705 := (iff #401 true) +#706 := [rewrite]: #705 +#708 := [monotonicity #706 #725]: #702 +#351 := [trans #708 #709]: #711 +#710 := [monotonicity #351]: #712 +#422 := [trans #710 #699]: #700 +#703 := (iff #390 true) +#701 := (not false) +#366 := (iff #701 true) +#367 := [rewrite]: #366 +#364 := (iff #390 #701) +#717 := (iff #399 false) +#715 := (or false false) +#716 := (iff #715 false) +#376 := [rewrite]: #716 +#375 := (iff #399 #715) +#380 := [monotonicity #725 #725]: #375 +#360 := [trans #380 #376]: #717 +#365 := [monotonicity #360]: #364 +#704 := [trans #365 #367]: #703 +#424 := [monotonicity #704 #422]: #423 +#319 := [trans #424 #709]: #425 +#669 := [monotonicity #319 #688 #673]: #668 +#677 := [trans #669 #676]: #670 +#723 := (iff #313 false) +#724 := [rewrite]: #723 +#509 := [monotonicity #724 #677]: #508 +#666 := [trans #509 #663]: #665 +#549 := [monotonicity #724 #666]: #667 +#658 := [trans #549 #551]: #510 +#559 := [monotonicity #658]: #544 +#555 := [trans #559 #562]: #544 +#659 := [quant-inst #8 #8]: #656 +#563 := [mp #659 #555]: #655 +[unit-resolution #563 #65 #739]: false +unsat +fcf9d10e8b8381a23681610013bef54bc4a13a37 319 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -37836,107 +35392,80 @@ #7 := f5 #38 := (f4 f5 #16) #39 := (f3 #38 #18) -#692 := (pattern #39) +#733 := (pattern #39) #20 := 0::Int -#81 := -1::Int -#85 := (* -1::Int #18) -#82 := (* -1::Int #16) -#104 := (mod #82 #85) -#260 := (+ #39 #104) -#261 := (= #260 0::Int) +#69 := -1::Int +#73 := (* -1::Int #18) +#70 := (* -1::Int #16) +#128 := (mod #70 #73) +#243 := (+ #39 #128) +#244 := (= #243 0::Int) #40 := (mod #16 #18) -#257 := (* -1::Int #40) -#258 := (+ #39 #257) -#259 := (= #258 0::Int) -#59 := (<= #18 0::Int) -#151 := (>= #16 0::Int) -#204 := (or #151 #59) -#205 := (not #204) -#55 := (<= #16 0::Int) -#200 := (or #55 #59) -#201 := (not #200) -#208 := (or #201 #205) -#262 := (if #208 #259 #261) -#256 := (= #39 0::Int) +#240 := (* -1::Int #40) +#241 := (+ #39 #240) +#242 := (= #241 0::Int) +#95 := (<= #18 0::Int) +#102 := (>= #16 0::Int) +#187 := (or #102 #95) +#188 := (not #187) +#91 := (<= #16 0::Int) +#185 := (or #91 #95) +#186 := (not #185) +#191 := (or #186 #188) +#245 := (if #191 #242 #244) +#239 := (= #39 0::Int) #21 := (= #16 0::Int) -#263 := (if #21 #256 #262) -#255 := (= #39 #16) +#246 := (if #21 #239 #245) +#238 := (= #39 #16) #22 := (= #18 0::Int) -#264 := (if #22 #255 #263) -#693 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #692) #264) -#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) -#696 := (iff #267 #693) -#694 := (iff #264 #264) -#695 := [refl]: #694 -#697 := [quant-intro #695]: #696 -#110 := (* -1::Int #104) -#224 := (if #208 #40 #110) -#227 := (if #21 0::Int #224) -#230 := (if #22 #16 #227) -#233 := (= #39 #230) -#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) -#268 := (iff #236 #267) -#265 := (iff #233 #264) -#266 := [rewrite]: #265 -#269 := [quant-intro #266]: #268 -#60 := (not #59) -#154 := (not #151) -#157 := (and #154 #60) -#56 := (not #55) -#63 := (and #56 #60) -#160 := (or #63 #157) -#176 := (if #160 #40 #110) -#179 := (if #21 0::Int #176) -#182 := (if #22 #16 #179) -#185 := (= #39 #182) -#188 := (forall (vars (?v0 Int) (?v1 Int)) #185) -#237 := (iff #188 #236) -#234 := (iff #185 #233) -#231 := (= #182 #230) -#228 := (= #179 #227) -#225 := (= #176 #224) -#209 := (iff #160 #208) -#206 := (iff #157 #205) -#207 := [rewrite]: #206 -#202 := (iff #63 #201) -#203 := [rewrite]: #202 -#210 := [monotonicity #203 #207]: #209 -#226 := [monotonicity #210]: #225 -#229 := [monotonicity #226]: #228 -#232 := [monotonicity #229]: #231 -#235 := [monotonicity #232]: #234 -#238 := [quant-intro #235]: #237 -#195 := (~ #188 #188) -#150 := (~ #185 #185) -#194 := [refl]: #150 -#198 := [nnf-pos #194]: #195 -#66 := (<= 0::Int #16) -#67 := (not #66) -#75 := (and #67 #60) -#78 := (or #63 #75) -#115 := (if #78 #40 #110) -#118 := (if #21 0::Int #115) -#121 := (if #22 #16 #118) -#124 := (= #39 #121) -#127 := (forall (vars (?v0 Int) (?v1 Int)) #124) -#189 := (iff #127 #188) -#186 := (iff #124 #185) -#183 := (= #121 #182) -#180 := (= #118 #179) -#177 := (= #115 #176) -#161 := (iff #78 #160) -#158 := (iff #75 #157) -#155 := (iff #67 #154) -#152 := (iff #66 #151) -#153 := [rewrite]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#162 := [monotonicity #159]: #161 -#178 := [monotonicity #162]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#190 := [quant-intro #187]: #189 +#247 := (if #22 #238 #246) +#734 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #733) #247) +#250 := (forall (vars (?v0 Int) (?v1 Int)) #247) +#737 := (iff #250 #734) +#735 := (iff #247 #247) +#736 := [refl]: #735 +#738 := [quant-intro #736]: #737 +#134 := (* -1::Int #128) +#207 := (if #191 #40 #134) +#210 := (if #21 0::Int #207) +#213 := (if #22 #16 #210) +#216 := (= #39 #213) +#219 := (forall (vars (?v0 Int) (?v1 Int)) #216) +#251 := (iff #219 #250) +#248 := (iff #216 #247) +#249 := [rewrite]: #248 +#252 := [quant-intro #249]: #251 +#96 := (not #95) +#103 := (not #102) +#106 := (and #103 #96) +#92 := (not #91) +#99 := (and #92 #96) +#109 := (or #99 #106) +#154 := (if #109 #40 #134) +#157 := (if #21 0::Int #154) +#160 := (if #22 #16 #157) +#163 := (= #39 #160) +#166 := (forall (vars (?v0 Int) (?v1 Int)) #163) +#220 := (iff #166 #219) +#217 := (iff #163 #216) +#214 := (= #160 #213) +#211 := (= #157 #210) +#208 := (= #154 #207) +#192 := (iff #109 #191) +#189 := (iff #106 #188) +#190 := [rewrite]: #189 +#179 := (iff #99 #186) +#180 := [rewrite]: #179 +#193 := [monotonicity #180 #190]: #192 +#209 := [monotonicity #193]: #208 +#212 := [monotonicity #209]: #211 +#215 := [monotonicity #212]: #214 +#218 := [monotonicity #215]: #217 +#221 := [quant-intro #218]: #220 +#177 := (~ #166 #166) +#176 := (~ #163 #163) +#173 := [refl]: #176 +#178 := [nnf-pos #173]: #177 #32 := (- #18) #31 := (- #16) #41 := (mod #31 #32) @@ -37952,53 +35481,64 @@ #45 := (if #22 #16 #44) #46 := (= #39 #45) #47 := (forall (vars (?v0 Int) (?v1 Int)) #46) -#128 := (iff #47 #127) -#125 := (iff #46 #124) -#122 := (= #45 #121) -#119 := (= #44 #118) -#116 := (= #43 #115) -#113 := (= #42 #110) -#107 := (- #104) -#111 := (= #107 #110) -#112 := [rewrite]: #111 -#108 := (= #42 #107) -#105 := (= #41 #104) -#86 := (= #32 #85) -#87 := [rewrite]: #86 -#83 := (= #31 #82) -#84 := [rewrite]: #83 -#106 := [monotonicity #84 #87]: #105 -#109 := [monotonicity #106]: #108 -#114 := [trans #109 #112]: #113 -#79 := (iff #29 #78) -#76 := (iff #28 #75) -#61 := (iff #25 #60) -#62 := [rewrite]: #61 -#68 := (iff #27 #67) -#72 := (iff #67 #67) -#70 := (iff #66 #66) -#71 := [rewrite]: #70 -#73 := [monotonicity #71]: #72 -#69 := [rewrite]: #68 -#74 := [trans #69 #73]: #68 -#77 := [monotonicity #74 #62]: #76 -#64 := (iff #26 #63) -#57 := (iff #24 #56) -#58 := [rewrite]: #57 -#65 := [monotonicity #58 #62]: #64 -#80 := [monotonicity #65 #77]: #79 -#117 := [monotonicity #80 #114]: #116 -#120 := [monotonicity #117]: #119 -#123 := [monotonicity #120]: #122 -#126 := [monotonicity #123]: #125 -#129 := [quant-intro #126]: #128 -#51 := [asserted]: #47 -#130 := [mp #51 #129]: #127 -#191 := [mp #130 #190]: #188 -#199 := [mp~ #191 #198]: #188 -#239 := [mp #199 #238]: #236 -#270 := [mp #239 #269]: #267 -#698 := [mp #270 #697]: #693 +#169 := (iff #47 #166) +#139 := (if #29 #40 #134) +#142 := (if #21 0::Int #139) +#145 := (if #22 #16 #142) +#148 := (= #39 #145) +#151 := (forall (vars (?v0 Int) (?v1 Int)) #148) +#167 := (iff #151 #166) +#164 := (iff #148 #163) +#161 := (= #145 #160) +#158 := (= #142 #157) +#155 := (= #139 #154) +#110 := (iff #29 #109) +#107 := (iff #28 #106) +#97 := (iff #25 #96) +#98 := [rewrite]: #97 +#104 := (iff #27 #103) +#105 := [rewrite]: #104 +#108 := [monotonicity #105 #98]: #107 +#100 := (iff #26 #99) +#93 := (iff #24 #92) +#94 := [rewrite]: #93 +#101 := [monotonicity #94 #98]: #100 +#111 := [monotonicity #101 #108]: #110 +#156 := [monotonicity #111]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [monotonicity #162]: #164 +#168 := [quant-intro #165]: #167 +#152 := (iff #47 #151) +#149 := (iff #46 #148) +#146 := (= #45 #145) +#143 := (= #44 #142) +#140 := (= #43 #139) +#137 := (= #42 #134) +#131 := (- #128) +#135 := (= #131 #134) +#136 := [rewrite]: #135 +#132 := (= #42 #131) +#129 := (= #41 #128) +#74 := (= #32 #73) +#75 := [rewrite]: #74 +#71 := (= #31 #70) +#72 := [rewrite]: #71 +#130 := [monotonicity #72 #75]: #129 +#133 := [monotonicity #130]: #132 +#138 := [trans #133 #136]: #137 +#141 := [monotonicity #138]: #140 +#144 := [monotonicity #141]: #143 +#147 := [monotonicity #144]: #146 +#150 := [monotonicity #147]: #149 +#153 := [quant-intro #150]: #152 +#170 := [trans #153 #168]: #169 +#127 := [asserted]: #47 +#171 := [mp #127 #170]: #166 +#174 := [mp~ #171 #178]: #166 +#222 := [mp #174 #221]: #219 +#253 := [mp #222 #252]: #250 +#739 := [mp #253 #738]: #734 #12 := 2::Int #10 := 3::Int #8 := 5::Int @@ -38006,163 +35546,163 @@ #11 := (f3 #9 3::Int) #13 := (= #11 2::Int) #14 := (not #13) -#49 := [asserted]: #14 -#603 := (not #693) -#604 := (or #603 #13) -#348 := (* -1::Int 3::Int) -#347 := (* -1::Int 5::Int) -#680 := (mod #347 #348) -#681 := (+ #11 #680) -#682 := (= #681 0::Int) -#679 := (mod 5::Int 3::Int) -#336 := (* -1::Int #679) -#466 := (+ #11 #336) -#673 := (= #466 0::Int) -#360 := (<= 3::Int 0::Int) -#359 := (>= 5::Int 0::Int) -#363 := (or #359 #360) -#342 := (not #363) -#349 := (<= 5::Int 0::Int) -#361 := (or #349 #360) -#362 := (not #361) -#677 := (or #362 #342) -#683 := (if #677 #673 #682) -#358 := (= #11 0::Int) -#357 := (= 5::Int 0::Int) -#678 := (if #357 #358 #683) -#356 := (= #11 5::Int) -#271 := (= 3::Int 0::Int) -#684 := (if #271 #356 #678) -#605 := (or #603 #684) -#606 := (iff #605 #604) -#591 := (iff #604 #604) -#593 := [rewrite]: #591 -#613 := (iff #684 #13) -#600 := (if false #356 #13) -#612 := (iff #600 #13) -#608 := [rewrite]: #612 -#610 := (iff #684 #600) -#601 := (iff #678 #13) -#619 := (if false #358 #13) -#607 := (iff #619 #13) -#609 := [rewrite]: #607 -#616 := (iff #678 #619) -#525 := (iff #683 #13) -#615 := (= #11 -1::Int) -#1 := true -#521 := (if true #13 #615) -#523 := (iff #521 #13) -#524 := [rewrite]: #523 -#514 := (iff #683 #521) -#518 := (iff #682 #615) -#289 := 1::Int -#626 := (+ 1::Int #11) -#617 := (= #626 0::Int) -#618 := (iff #617 #615) -#503 := [rewrite]: #618 -#519 := (iff #682 #617) -#510 := (= #681 #626) -#624 := (+ #11 1::Int) -#508 := (= #624 #626) +#67 := [asserted]: #14 +#644 := (not #734) +#645 := (or #644 #13) +#389 := (* -1::Int 3::Int) +#388 := (* -1::Int 5::Int) +#721 := (mod #388 #389) +#722 := (+ #11 #721) +#723 := (= #722 0::Int) +#720 := (mod 5::Int 3::Int) +#377 := (* -1::Int #720) +#507 := (+ #11 #377) +#714 := (= #507 0::Int) +#401 := (<= 3::Int 0::Int) +#400 := (>= 5::Int 0::Int) +#404 := (or #400 #401) +#383 := (not #404) +#390 := (<= 5::Int 0::Int) +#402 := (or #390 #401) +#403 := (not #402) +#718 := (or #403 #383) +#724 := (if #718 #714 #723) +#399 := (= #11 0::Int) +#398 := (= 5::Int 0::Int) +#719 := (if #398 #399 #724) +#397 := (= #11 5::Int) +#313 := (= 3::Int 0::Int) +#725 := (if #313 #397 #719) +#646 := (or #644 #725) +#647 := (iff #646 #645) +#632 := (iff #645 #645) +#634 := [rewrite]: #632 +#654 := (iff #725 #13) +#641 := (if false #397 #13) +#653 := (iff #641 #13) +#649 := [rewrite]: #653 +#651 := (iff #725 #641) +#642 := (iff #719 #13) +#660 := (if false #399 #13) +#648 := (iff #660 #13) +#650 := [rewrite]: #648 +#657 := (iff #719 #660) +#566 := (iff #724 #13) +#656 := (= #11 -1::Int) +#1 := true +#562 := (if true #13 #656) +#564 := (iff #562 #13) +#565 := [rewrite]: #564 +#555 := (iff #724 #562) +#559 := (iff #723 #656) +#266 := 1::Int +#667 := (+ 1::Int #11) +#658 := (= #667 0::Int) +#659 := (iff #658 #656) +#544 := [rewrite]: #659 +#560 := (iff #723 #658) +#551 := (= #722 #667) +#665 := (+ #11 1::Int) +#549 := (= #665 #667) +#550 := [rewrite]: #549 +#666 := (= #722 #665) +#662 := (= #721 1::Int) +#669 := -3::Int +#673 := -5::Int +#670 := (mod -5::Int -3::Int) +#508 := (= #670 1::Int) #509 := [rewrite]: #508 -#625 := (= #681 #624) -#621 := (= #680 1::Int) -#628 := -3::Int -#632 := -5::Int -#629 := (mod -5::Int -3::Int) -#467 := (= #629 1::Int) -#468 := [rewrite]: #467 -#636 := (= #680 #629) -#634 := (= #348 -3::Int) -#635 := [rewrite]: #634 -#633 := (= #347 -5::Int) -#627 := [rewrite]: #633 -#465 := [monotonicity #627 #635]: #636 -#622 := [trans #465 #468]: #621 -#623 := [monotonicity #622]: #625 -#469 := [trans #623 #509]: #510 -#614 := [monotonicity #469]: #519 -#520 := [trans #614 #503]: #518 -#630 := (iff #673 #13) -#649 := -2::Int -#642 := (+ -2::Int #11) -#639 := (= #642 0::Int) -#487 := (iff #639 #13) -#488 := [rewrite]: #487 -#645 := (iff #673 #639) -#643 := (= #466 #642) -#651 := (+ #11 -2::Int) -#637 := (= #651 #642) -#638 := [rewrite]: #637 -#640 := (= #466 #651) -#650 := (= #336 -2::Int) -#369 := (* -1::Int 2::Int) -#364 := (= #369 -2::Int) -#646 := [rewrite]: #364 -#370 := (= #336 #369) -#367 := (= #679 2::Int) -#368 := [rewrite]: #367 -#648 := [monotonicity #368]: #370 -#647 := [trans #648 #646]: #650 -#641 := [monotonicity #647]: #640 -#644 := [trans #641 #638]: #643 -#486 := [monotonicity #644]: #645 -#631 := [trans #486 #488]: #630 -#653 := (iff #677 true) -#671 := (or true false) -#658 := (iff #671 true) -#659 := [rewrite]: #658 -#652 := (iff #677 #671) -#377 := (iff #342 false) -#383 := (not true) -#654 := (iff #383 false) -#655 := [rewrite]: #654 -#384 := (iff #342 #383) -#381 := (iff #363 true) -#669 := (iff #363 #671) -#319 := (iff #360 false) -#660 := [rewrite]: #319 -#310 := (iff #359 true) -#311 := [rewrite]: #310 -#672 := [monotonicity #311 #660]: #669 -#382 := [trans #672 #659]: #381 -#277 := [monotonicity #382]: #384 -#378 := [trans #277 #655]: #377 -#668 := (iff #362 true) -#665 := (not false) -#667 := (iff #665 true) -#305 := [rewrite]: #667 -#666 := (iff #362 #665) -#663 := (iff #361 false) -#323 := (or false false) -#326 := (iff #323 false) -#662 := [rewrite]: #326 -#324 := (iff #361 #323) -#335 := (iff #349 false) -#676 := [rewrite]: #335 -#325 := [monotonicity #676 #660]: #324 -#664 := [trans #325 #662]: #663 -#661 := [monotonicity #664]: #666 -#670 := [trans #661 #305]: #668 -#656 := [monotonicity #670 #378]: #652 -#657 := [trans #656 #659]: #653 -#522 := [monotonicity #657 #631 #520]: #514 -#526 := [trans #522 #524]: #525 -#339 := (iff #357 false) -#675 := [rewrite]: #339 -#620 := [monotonicity #675 #526]: #616 -#598 := [trans #620 #609]: #601 -#674 := (iff #271 false) -#334 := [rewrite]: #674 -#611 := [monotonicity #334 #598]: #610 -#602 := [trans #611 #608]: #613 -#590 := [monotonicity #602]: #606 -#594 := [trans #590 #593]: #606 -#599 := [quant-inst #8 #10]: #605 -#595 := [mp #599 #594]: #604 -[unit-resolution #595 #49 #698]: false -2b60566cabaa3881d0df54c1bbba88b2e72ec302 342 0 -unsat +#677 := (= #721 #670) +#675 := (= #389 -3::Int) +#676 := [rewrite]: #675 +#674 := (= #388 -5::Int) +#668 := [rewrite]: #674 +#506 := [monotonicity #668 #676]: #677 +#663 := [trans #506 #509]: #662 +#664 := [monotonicity #663]: #666 +#510 := [trans #664 #550]: #551 +#655 := [monotonicity #510]: #560 +#561 := [trans #655 #544]: #559 +#671 := (iff #714 #13) +#690 := -2::Int +#683 := (+ -2::Int #11) +#680 := (= #683 0::Int) +#528 := (iff #680 #13) +#529 := [rewrite]: #528 +#686 := (iff #714 #680) +#684 := (= #507 #683) +#692 := (+ #11 -2::Int) +#678 := (= #692 #683) +#679 := [rewrite]: #678 +#681 := (= #507 #692) +#691 := (= #377 -2::Int) +#410 := (* -1::Int 2::Int) +#405 := (= #410 -2::Int) +#687 := [rewrite]: #405 +#411 := (= #377 #410) +#408 := (= #720 2::Int) +#409 := [rewrite]: #408 +#689 := [monotonicity #409]: #411 +#688 := [trans #689 #687]: #691 +#682 := [monotonicity #688]: #681 +#685 := [trans #682 #679]: #684 +#527 := [monotonicity #685]: #686 +#672 := [trans #527 #529]: #671 +#694 := (iff #718 true) +#712 := (or true false) +#699 := (iff #712 true) +#700 := [rewrite]: #699 +#693 := (iff #718 #712) +#418 := (iff #383 false) +#424 := (not true) +#695 := (iff #424 false) +#696 := [rewrite]: #695 +#425 := (iff #383 #424) +#422 := (iff #404 true) +#710 := (iff #404 #712) +#360 := (iff #401 false) +#701 := [rewrite]: #360 +#351 := (iff #400 true) +#352 := [rewrite]: #351 +#713 := [monotonicity #352 #701]: #710 +#423 := [trans #713 #700]: #422 +#319 := [monotonicity #423]: #425 +#419 := [trans #319 #696]: #418 +#709 := (iff #403 true) +#706 := (not false) +#708 := (iff #706 true) +#346 := [rewrite]: #708 +#707 := (iff #403 #706) +#704 := (iff #402 false) +#364 := (or false false) +#367 := (iff #364 false) +#703 := [rewrite]: #367 +#365 := (iff #402 #364) +#376 := (iff #390 false) +#717 := [rewrite]: #376 +#366 := [monotonicity #717 #701]: #365 +#705 := [trans #366 #703]: #704 +#702 := [monotonicity #705]: #707 +#711 := [trans #702 #346]: #709 +#697 := [monotonicity #711 #419]: #693 +#698 := [trans #697 #700]: #694 +#563 := [monotonicity #698 #672 #561]: #555 +#567 := [trans #563 #565]: #566 +#380 := (iff #398 false) +#716 := [rewrite]: #380 +#661 := [monotonicity #716 #567]: #657 +#639 := [trans #661 #650]: #642 +#715 := (iff #313 false) +#375 := [rewrite]: #715 +#652 := [monotonicity #375 #639]: #651 +#643 := [trans #652 #649]: #654 +#631 := [monotonicity #643]: #647 +#635 := [trans #631 #634]: #647 +#640 := [quant-inst #8 #10]: #646 +#636 := [mp #640 #635]: #645 +[unit-resolution #636 #67 #739]: false +unsat +c497ff275eec9dfc0af1251e4c8516213924660f 326 0 #2 := false decl f3 :: (-> S2 Int Int) #20 := (:var 0 Int) @@ -38172,107 +35712,80 @@ #7 := f5 #40 := (f4 f5 #18) #41 := (f3 #40 #20) -#709 := (pattern #41) +#751 := (pattern #41) #22 := 0::Int -#99 := -1::Int -#103 := (* -1::Int #20) -#100 := (* -1::Int #18) -#122 := (mod #100 #103) -#278 := (+ #41 #122) -#279 := (= #278 0::Int) +#86 := -1::Int +#91 := (* -1::Int #20) +#88 := (* -1::Int #18) +#146 := (mod #88 #91) +#261 := (+ #41 #146) +#262 := (= #261 0::Int) #42 := (mod #18 #20) -#275 := (* -1::Int #42) -#276 := (+ #41 #275) -#277 := (= #276 0::Int) -#77 := (<= #20 0::Int) -#169 := (>= #18 0::Int) -#222 := (or #169 #77) -#223 := (not #222) -#73 := (<= #18 0::Int) -#218 := (or #73 #77) -#219 := (not #218) -#226 := (or #219 #223) -#280 := (if #226 #277 #279) -#274 := (= #41 0::Int) +#258 := (* -1::Int #42) +#259 := (+ #41 #258) +#260 := (= #259 0::Int) +#113 := (<= #20 0::Int) +#120 := (>= #18 0::Int) +#205 := (or #120 #113) +#206 := (not #205) +#109 := (<= #18 0::Int) +#203 := (or #109 #113) +#204 := (not #203) +#209 := (or #204 #206) +#263 := (if #209 #260 #262) +#257 := (= #41 0::Int) #23 := (= #18 0::Int) -#281 := (if #23 #274 #280) -#273 := (= #41 #18) +#264 := (if #23 #257 #263) +#256 := (= #41 #18) #24 := (= #20 0::Int) -#282 := (if #24 #273 #281) -#710 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #709) #282) -#285 := (forall (vars (?v0 Int) (?v1 Int)) #282) -#713 := (iff #285 #710) -#711 := (iff #282 #282) -#712 := [refl]: #711 -#714 := [quant-intro #712]: #713 -#128 := (* -1::Int #122) -#242 := (if #226 #42 #128) -#245 := (if #23 0::Int #242) -#248 := (if #24 #18 #245) -#251 := (= #41 #248) -#254 := (forall (vars (?v0 Int) (?v1 Int)) #251) -#286 := (iff #254 #285) -#283 := (iff #251 #282) -#284 := [rewrite]: #283 -#287 := [quant-intro #284]: #286 -#78 := (not #77) -#172 := (not #169) -#175 := (and #172 #78) -#74 := (not #73) -#81 := (and #74 #78) -#178 := (or #81 #175) -#194 := (if #178 #42 #128) -#197 := (if #23 0::Int #194) -#200 := (if #24 #18 #197) -#203 := (= #41 #200) -#206 := (forall (vars (?v0 Int) (?v1 Int)) #203) -#255 := (iff #206 #254) -#252 := (iff #203 #251) -#249 := (= #200 #248) -#246 := (= #197 #245) -#243 := (= #194 #242) -#227 := (iff #178 #226) -#224 := (iff #175 #223) -#225 := [rewrite]: #224 -#220 := (iff #81 #219) -#221 := [rewrite]: #220 -#228 := [monotonicity #221 #225]: #227 -#244 := [monotonicity #228]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [monotonicity #250]: #252 -#256 := [quant-intro #253]: #255 -#168 := (~ #206 #206) -#213 := (~ #203 #203) -#167 := [refl]: #213 -#216 := [nnf-pos #167]: #168 -#84 := (<= 0::Int #18) -#85 := (not #84) -#93 := (and #85 #78) -#96 := (or #81 #93) -#133 := (if #96 #42 #128) -#136 := (if #23 0::Int #133) -#139 := (if #24 #18 #136) -#142 := (= #41 #139) -#145 := (forall (vars (?v0 Int) (?v1 Int)) #142) -#207 := (iff #145 #206) -#204 := (iff #142 #203) -#201 := (= #139 #200) -#198 := (= #136 #197) -#195 := (= #133 #194) -#179 := (iff #96 #178) -#176 := (iff #93 #175) -#173 := (iff #85 #172) -#170 := (iff #84 #169) -#171 := [rewrite]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#180 := [monotonicity #177]: #179 -#196 := [monotonicity #180]: #195 -#199 := [monotonicity #196]: #198 -#202 := [monotonicity #199]: #201 -#205 := [monotonicity #202]: #204 -#208 := [quant-intro #205]: #207 +#265 := (if #24 #256 #264) +#752 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #751) #265) +#268 := (forall (vars (?v0 Int) (?v1 Int)) #265) +#755 := (iff #268 #752) +#753 := (iff #265 #265) +#754 := [refl]: #753 +#756 := [quant-intro #754]: #755 +#152 := (* -1::Int #146) +#225 := (if #209 #42 #152) +#228 := (if #23 0::Int #225) +#231 := (if #24 #18 #228) +#234 := (= #41 #231) +#237 := (forall (vars (?v0 Int) (?v1 Int)) #234) +#269 := (iff #237 #268) +#266 := (iff #234 #265) +#267 := [rewrite]: #266 +#270 := [quant-intro #267]: #269 +#114 := (not #113) +#121 := (not #120) +#124 := (and #121 #114) +#110 := (not #109) +#117 := (and #110 #114) +#127 := (or #117 #124) +#172 := (if #127 #42 #152) +#175 := (if #23 0::Int #172) +#178 := (if #24 #18 #175) +#181 := (= #41 #178) +#184 := (forall (vars (?v0 Int) (?v1 Int)) #181) +#238 := (iff #184 #237) +#235 := (iff #181 #234) +#232 := (= #178 #231) +#229 := (= #175 #228) +#226 := (= #172 #225) +#210 := (iff #127 #209) +#207 := (iff #124 #206) +#208 := [rewrite]: #207 +#197 := (iff #117 #204) +#198 := [rewrite]: #197 +#211 := [monotonicity #198 #208]: #210 +#227 := [monotonicity #211]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [monotonicity #233]: #235 +#239 := [quant-intro #236]: #238 +#195 := (~ #184 #184) +#194 := (~ #181 #181) +#191 := [refl]: #194 +#196 := [nnf-pos #191]: #195 #34 := (- #20) #33 := (- #18) #43 := (mod #33 #34) @@ -38288,60 +35801,71 @@ #47 := (if #24 #18 #46) #48 := (= #41 #47) #49 := (forall (vars (?v0 Int) (?v1 Int)) #48) -#146 := (iff #49 #145) -#143 := (iff #48 #142) -#140 := (= #47 #139) -#137 := (= #46 #136) -#134 := (= #45 #133) -#131 := (= #44 #128) -#125 := (- #122) -#129 := (= #125 #128) -#130 := [rewrite]: #129 -#126 := (= #44 #125) -#123 := (= #43 #122) -#104 := (= #34 #103) -#105 := [rewrite]: #104 -#101 := (= #33 #100) -#102 := [rewrite]: #101 -#124 := [monotonicity #102 #105]: #123 -#127 := [monotonicity #124]: #126 -#132 := [trans #127 #130]: #131 -#97 := (iff #31 #96) -#94 := (iff #30 #93) -#79 := (iff #27 #78) -#80 := [rewrite]: #79 -#86 := (iff #29 #85) -#90 := (iff #85 #85) -#88 := (iff #84 #84) -#89 := [rewrite]: #88 -#91 := [monotonicity #89]: #90 -#87 := [rewrite]: #86 -#92 := [trans #87 #91]: #86 -#95 := [monotonicity #92 #80]: #94 -#82 := (iff #28 #81) -#75 := (iff #26 #74) -#76 := [rewrite]: #75 -#83 := [monotonicity #76 #80]: #82 -#98 := [monotonicity #83 #95]: #97 -#135 := [monotonicity #98 #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [monotonicity #138]: #140 -#144 := [monotonicity #141]: #143 -#147 := [quant-intro #144]: #146 -#53 := [asserted]: #49 -#148 := [mp #53 #147]: #145 -#209 := [mp #148 #208]: #206 -#217 := [mp~ #209 #216]: #206 -#257 := [mp #217 #256]: #254 -#288 := [mp #257 #287]: #285 -#715 := [mp #288 #714]: #710 -#63 := -2::Int -#57 := -3::Int +#187 := (iff #49 #184) +#157 := (if #31 #42 #152) +#160 := (if #23 0::Int #157) +#163 := (if #24 #18 #160) +#166 := (= #41 #163) +#169 := (forall (vars (?v0 Int) (?v1 Int)) #166) +#185 := (iff #169 #184) +#182 := (iff #166 #181) +#179 := (= #163 #178) +#176 := (= #160 #175) +#173 := (= #157 #172) +#128 := (iff #31 #127) +#125 := (iff #30 #124) +#115 := (iff #27 #114) +#116 := [rewrite]: #115 +#122 := (iff #29 #121) +#123 := [rewrite]: #122 +#126 := [monotonicity #123 #116]: #125 +#118 := (iff #28 #117) +#111 := (iff #26 #110) +#112 := [rewrite]: #111 +#119 := [monotonicity #112 #116]: #118 +#129 := [monotonicity #119 #126]: #128 +#174 := [monotonicity #129]: #173 +#177 := [monotonicity #174]: #176 +#180 := [monotonicity #177]: #179 +#183 := [monotonicity #180]: #182 +#186 := [quant-intro #183]: #185 +#170 := (iff #49 #169) +#167 := (iff #48 #166) +#164 := (= #47 #163) +#161 := (= #46 #160) +#158 := (= #45 #157) +#155 := (= #44 #152) +#149 := (- #146) +#153 := (= #149 #152) +#154 := [rewrite]: #153 +#150 := (= #44 #149) +#147 := (= #43 #146) +#92 := (= #34 #91) +#93 := [rewrite]: #92 +#89 := (= #33 #88) +#90 := [rewrite]: #89 +#148 := [monotonicity #90 #93]: #147 +#151 := [monotonicity #148]: #150 +#156 := [trans #151 #154]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [monotonicity #162]: #164 +#168 := [monotonicity #165]: #167 +#171 := [quant-intro #168]: #170 +#188 := [trans #171 #186]: #187 +#145 := [asserted]: #49 +#189 := [mp #145 #188]: #184 +#192 := [mp~ #189 #196]: #184 +#240 := [mp #192 #239]: #237 +#271 := [mp #240 #270]: #268 +#757 := [mp #271 #756]: #752 +#76 := -2::Int +#70 := -3::Int #8 := 1::Int #9 := (f4 f5 1::Int) -#60 := (f3 #9 -3::Int) -#66 := (= #60 -2::Int) -#69 := (not #66) +#73 := (f3 #9 -3::Int) +#79 := (= #73 -2::Int) +#82 := (not #79) #13 := 2::Int #14 := (- 2::Int) #10 := 3::Int @@ -38349,163 +35873,163 @@ #12 := (f3 #9 #11) #15 := (= #12 #14) #16 := (not #15) -#70 := (iff #16 #69) -#67 := (iff #15 #66) -#64 := (= #14 -2::Int) -#65 := [rewrite]: #64 -#61 := (= #12 #60) -#58 := (= #11 -3::Int) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#68 := [monotonicity #62 #65]: #67 -#71 := [monotonicity #68]: #70 -#51 := [asserted]: #16 -#72 := [mp #51 #71]: #69 -#626 := (not #710) -#618 := (or #626 #66) -#365 := (* -1::Int -3::Int) -#364 := (* -1::Int 1::Int) -#697 := (mod #364 #365) -#698 := (+ #60 #697) -#699 := (= #698 0::Int) -#696 := (mod 1::Int -3::Int) -#353 := (* -1::Int #696) -#483 := (+ #60 #353) -#690 := (= #483 0::Int) -#377 := (<= -3::Int 0::Int) -#376 := (>= 1::Int 0::Int) -#380 := (or #376 #377) -#359 := (not #380) -#366 := (<= 1::Int 0::Int) -#378 := (or #366 #377) -#379 := (not #378) -#694 := (or #379 #359) -#700 := (if #694 #690 #699) -#375 := (= #60 0::Int) -#374 := (= 1::Int 0::Int) -#695 := (if #374 #375 #700) -#373 := (= #60 1::Int) -#289 := (= -3::Int 0::Int) -#701 := (if #289 #373 #695) -#615 := (or #626 #701) -#627 := (iff #615 #618) -#629 := (iff #618 #618) -#625 := [rewrite]: #629 -#637 := (iff #701 #66) -#536 := (if false #373 #66) -#635 := (iff #536 #66) -#520 := [rewrite]: #635 -#636 := (iff #701 #536) -#542 := (iff #695 #66) -#538 := (if false #375 #66) -#540 := (iff #538 #66) -#541 := [rewrite]: #540 -#531 := (iff #695 #538) -#535 := (iff #700 #66) -#631 := (iff #700 #536) -#486 := (iff #699 #66) -#485 := (+ 2::Int #60) -#640 := (= #485 0::Int) -#526 := (iff #640 #66) -#527 := [rewrite]: #526 -#643 := (iff #699 #640) -#641 := (= #698 #485) -#653 := (+ #60 2::Int) -#638 := (= #653 #485) -#639 := [rewrite]: #638 -#482 := (= #698 #653) -#652 := (= #697 2::Int) -#649 := (mod -1::Int 3::Int) -#645 := (= #649 2::Int) -#651 := [rewrite]: #645 -#650 := (= #697 #649) -#647 := (= #365 3::Int) -#648 := [rewrite]: #647 -#665 := (= #364 -1::Int) -#666 := [rewrite]: #665 -#644 := [monotonicity #666 #648]: #650 -#646 := [trans #644 #651]: #652 -#484 := [monotonicity #646]: #482 -#642 := [trans #484 #639]: #641 -#525 := [monotonicity #642]: #643 -#634 := [trans #525 #527]: #486 -#504 := (iff #690 #373) -#657 := (+ -1::Int #60) -#660 := (= #657 0::Int) -#662 := (iff #660 #373) -#503 := [rewrite]: #662 -#661 := (iff #690 #660) -#654 := (= #483 #657) -#667 := (+ #60 -1::Int) -#658 := (= #667 #657) -#659 := [rewrite]: #658 -#664 := (= #483 #667) -#381 := (= #353 -1::Int) -#386 := (= #353 #364) -#384 := (= #696 1::Int) -#385 := [rewrite]: #384 -#387 := [monotonicity #385]: #386 -#663 := [trans #387 #666]: #381 -#668 := [monotonicity #663]: #664 -#655 := [trans #668 #659]: #654 -#656 := [monotonicity #655]: #661 -#505 := [trans #656 #503]: #504 -#670 := (iff #694 false) -#672 := (or false false) -#669 := (iff #672 false) -#673 := [rewrite]: #669 -#394 := (iff #694 #672) -#295 := (iff #359 false) -#1 := true -#682 := (not true) -#684 := (iff #682 false) -#322 := [rewrite]: #684 -#400 := (iff #359 #682) -#398 := (iff #380 true) -#688 := (or true true) -#675 := (iff #688 true) -#676 := [rewrite]: #675 -#686 := (iff #380 #688) -#336 := (iff #377 true) -#677 := [rewrite]: #336 -#327 := (iff #376 true) -#328 := [rewrite]: #327 -#689 := [monotonicity #328 #677]: #686 -#399 := [trans #689 #676]: #398 -#401 := [monotonicity #399]: #400 -#671 := [trans #401 #322]: #295 -#685 := (iff #379 false) -#683 := (iff #379 #682) -#680 := (iff #378 true) -#340 := (or false true) -#343 := (iff #340 true) -#679 := [rewrite]: #343 -#341 := (iff #378 #340) -#352 := (iff #366 false) -#693 := [rewrite]: #352 -#342 := [monotonicity #693 #677]: #341 -#681 := [trans #342 #679]: #680 -#678 := [monotonicity #681]: #683 -#687 := [trans #678 #322]: #685 -#395 := [monotonicity #687 #671]: #394 -#674 := [trans #395 #673]: #670 -#632 := [monotonicity #674 #505 #634]: #631 -#537 := [trans #632 #520]: #535 -#356 := (iff #374 false) -#692 := [rewrite]: #356 -#539 := [monotonicity #692 #537]: #531 -#543 := [trans #539 #541]: #542 -#691 := (iff #289 false) -#351 := [rewrite]: #691 -#633 := [monotonicity #351 #543]: #636 -#624 := [trans #633 #520]: #637 -#628 := [monotonicity #624]: #627 -#630 := [trans #628 #625]: #627 -#617 := [quant-inst #8 #57]: #615 -#619 := [mp #617 #630]: #618 -[unit-resolution #619 #72 #715]: false -30bd922ca9cd199af046cdc457f97af241893e95 323 0 -unsat +#83 := (iff #16 #82) +#80 := (iff #15 #79) +#77 := (= #14 -2::Int) +#78 := [rewrite]: #77 +#74 := (= #12 #73) +#71 := (= #11 -3::Int) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#81 := [monotonicity #75 #78]: #80 +#84 := [monotonicity #81]: #83 +#69 := [asserted]: #16 +#87 := [mp #69 #84]: #82 +#668 := (not #752) +#660 := (or #668 #79) +#407 := (* -1::Int -3::Int) +#406 := (* -1::Int 1::Int) +#739 := (mod #406 #407) +#740 := (+ #73 #739) +#741 := (= #740 0::Int) +#738 := (mod 1::Int -3::Int) +#395 := (* -1::Int #738) +#525 := (+ #73 #395) +#732 := (= #525 0::Int) +#419 := (<= -3::Int 0::Int) +#418 := (>= 1::Int 0::Int) +#422 := (or #418 #419) +#401 := (not #422) +#408 := (<= 1::Int 0::Int) +#420 := (or #408 #419) +#421 := (not #420) +#736 := (or #421 #401) +#742 := (if #736 #732 #741) +#417 := (= #73 0::Int) +#416 := (= 1::Int 0::Int) +#737 := (if #416 #417 #742) +#415 := (= #73 1::Int) +#331 := (= -3::Int 0::Int) +#743 := (if #331 #415 #737) +#657 := (or #668 #743) +#669 := (iff #657 #660) +#671 := (iff #660 #660) +#667 := [rewrite]: #671 +#679 := (iff #743 #79) +#578 := (if false #415 #79) +#677 := (iff #578 #79) +#562 := [rewrite]: #677 +#678 := (iff #743 #578) +#584 := (iff #737 #79) +#580 := (if false #417 #79) +#582 := (iff #580 #79) +#583 := [rewrite]: #582 +#573 := (iff #737 #580) +#577 := (iff #742 #79) +#673 := (iff #742 #578) +#528 := (iff #741 #79) +#527 := (+ 2::Int #73) +#682 := (= #527 0::Int) +#568 := (iff #682 #79) +#569 := [rewrite]: #568 +#685 := (iff #741 #682) +#683 := (= #740 #527) +#695 := (+ #73 2::Int) +#680 := (= #695 #527) +#681 := [rewrite]: #680 +#524 := (= #740 #695) +#694 := (= #739 2::Int) +#691 := (mod -1::Int 3::Int) +#687 := (= #691 2::Int) +#693 := [rewrite]: #687 +#692 := (= #739 #691) +#689 := (= #407 3::Int) +#690 := [rewrite]: #689 +#707 := (= #406 -1::Int) +#708 := [rewrite]: #707 +#686 := [monotonicity #708 #690]: #692 +#688 := [trans #686 #693]: #694 +#526 := [monotonicity #688]: #524 +#684 := [trans #526 #681]: #683 +#567 := [monotonicity #684]: #685 +#676 := [trans #567 #569]: #528 +#546 := (iff #732 #415) +#699 := (+ -1::Int #73) +#702 := (= #699 0::Int) +#704 := (iff #702 #415) +#545 := [rewrite]: #704 +#703 := (iff #732 #702) +#696 := (= #525 #699) +#709 := (+ #73 -1::Int) +#700 := (= #709 #699) +#701 := [rewrite]: #700 +#706 := (= #525 #709) +#423 := (= #395 -1::Int) +#428 := (= #395 #406) +#426 := (= #738 1::Int) +#427 := [rewrite]: #426 +#429 := [monotonicity #427]: #428 +#705 := [trans #429 #708]: #423 +#710 := [monotonicity #705]: #706 +#697 := [trans #710 #701]: #696 +#698 := [monotonicity #697]: #703 +#547 := [trans #698 #545]: #546 +#712 := (iff #736 false) +#714 := (or false false) +#711 := (iff #714 false) +#715 := [rewrite]: #711 +#436 := (iff #736 #714) +#337 := (iff #401 false) +#1 := true +#724 := (not true) +#726 := (iff #724 false) +#364 := [rewrite]: #726 +#442 := (iff #401 #724) +#440 := (iff #422 true) +#730 := (or true true) +#717 := (iff #730 true) +#718 := [rewrite]: #717 +#728 := (iff #422 #730) +#378 := (iff #419 true) +#719 := [rewrite]: #378 +#369 := (iff #418 true) +#370 := [rewrite]: #369 +#731 := [monotonicity #370 #719]: #728 +#441 := [trans #731 #718]: #440 +#443 := [monotonicity #441]: #442 +#713 := [trans #443 #364]: #337 +#727 := (iff #421 false) +#725 := (iff #421 #724) +#722 := (iff #420 true) +#382 := (or false true) +#385 := (iff #382 true) +#721 := [rewrite]: #385 +#383 := (iff #420 #382) +#394 := (iff #408 false) +#735 := [rewrite]: #394 +#384 := [monotonicity #735 #719]: #383 +#723 := [trans #384 #721]: #722 +#720 := [monotonicity #723]: #725 +#729 := [trans #720 #364]: #727 +#437 := [monotonicity #729 #713]: #436 +#716 := [trans #437 #715]: #712 +#674 := [monotonicity #716 #547 #676]: #673 +#579 := [trans #674 #562]: #577 +#398 := (iff #416 false) +#734 := [rewrite]: #398 +#581 := [monotonicity #734 #579]: #573 +#585 := [trans #581 #583]: #584 +#733 := (iff #331 false) +#393 := [rewrite]: #733 +#675 := [monotonicity #393 #585]: #678 +#666 := [trans #675 #562]: #679 +#670 := [monotonicity #666]: #669 +#672 := [trans #670 #667]: #669 +#659 := [quant-inst #8 #70]: #657 +#661 := [mp #659 #672]: #660 +[unit-resolution #661 #87 #757]: false +unsat +a3271abc9f2ec03bd2af23f7e77d6fec07008813 307 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -38515,107 +36039,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#704 := (pattern #38) +#747 := (pattern #38) #12 := 0::Int -#93 := -1::Int -#97 := (* -1::Int #18) -#94 := (* -1::Int #16) -#116 := (mod #94 #97) -#272 := (+ #38 #116) -#273 := (= #272 0::Int) +#80 := -1::Int +#85 := (* -1::Int #18) +#82 := (* -1::Int #16) +#140 := (mod #82 #85) +#255 := (+ #38 #140) +#256 := (= #255 0::Int) #39 := (mod #16 #18) -#269 := (* -1::Int #39) -#270 := (+ #38 #269) -#271 := (= #270 0::Int) -#71 := (<= #18 0::Int) -#163 := (>= #16 0::Int) -#216 := (or #163 #71) -#217 := (not #216) -#67 := (<= #16 0::Int) -#212 := (or #67 #71) -#213 := (not #212) -#220 := (or #213 #217) -#274 := (if #220 #271 #273) -#268 := (= #38 0::Int) +#252 := (* -1::Int #39) +#253 := (+ #38 #252) +#254 := (= #253 0::Int) +#107 := (<= #18 0::Int) +#114 := (>= #16 0::Int) +#199 := (or #114 #107) +#200 := (not #199) +#103 := (<= #16 0::Int) +#197 := (or #103 #107) +#198 := (not #197) +#203 := (or #198 #200) +#257 := (if #203 #254 #256) +#251 := (= #38 0::Int) #20 := (= #16 0::Int) -#275 := (if #20 #268 #274) -#267 := (= #38 #16) +#258 := (if #20 #251 #257) +#250 := (= #38 #16) #21 := (= #18 0::Int) -#276 := (if #21 #267 #275) -#705 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #704) #276) -#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) -#708 := (iff #279 #705) -#706 := (iff #276 #276) -#707 := [refl]: #706 -#709 := [quant-intro #707]: #708 -#122 := (* -1::Int #116) -#236 := (if #220 #39 #122) -#239 := (if #20 0::Int #236) -#242 := (if #21 #16 #239) -#245 := (= #38 #242) -#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) -#280 := (iff #248 #279) -#277 := (iff #245 #276) -#278 := [rewrite]: #277 -#281 := [quant-intro #278]: #280 -#72 := (not #71) -#166 := (not #163) -#169 := (and #166 #72) -#68 := (not #67) -#75 := (and #68 #72) -#172 := (or #75 #169) -#188 := (if #172 #39 #122) -#191 := (if #20 0::Int #188) -#194 := (if #21 #16 #191) -#197 := (= #38 #194) -#200 := (forall (vars (?v0 Int) (?v1 Int)) #197) -#249 := (iff #200 #248) -#246 := (iff #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#237 := (= #188 #236) -#221 := (iff #172 #220) -#218 := (iff #169 #217) -#219 := [rewrite]: #218 -#214 := (iff #75 #213) -#215 := [rewrite]: #214 -#222 := [monotonicity #215 #219]: #221 -#238 := [monotonicity #222]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [quant-intro #247]: #249 -#162 := (~ #200 #200) -#207 := (~ #197 #197) -#161 := [refl]: #207 -#210 := [nnf-pos #161]: #162 -#78 := (<= 0::Int #16) -#79 := (not #78) -#87 := (and #79 #72) -#90 := (or #75 #87) -#127 := (if #90 #39 #122) -#130 := (if #20 0::Int #127) -#133 := (if #21 #16 #130) -#136 := (= #38 #133) -#139 := (forall (vars (?v0 Int) (?v1 Int)) #136) -#201 := (iff #139 #200) -#198 := (iff #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#189 := (= #127 #188) -#173 := (iff #90 #172) -#170 := (iff #87 #169) -#167 := (iff #79 #166) -#164 := (iff #78 #163) -#165 := [rewrite]: #164 -#168 := [monotonicity #165]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#190 := [monotonicity #174]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [quant-intro #199]: #201 +#259 := (if #21 #250 #258) +#748 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #747) #259) +#262 := (forall (vars (?v0 Int) (?v1 Int)) #259) +#751 := (iff #262 #748) +#749 := (iff #259 #259) +#750 := [refl]: #749 +#752 := [quant-intro #750]: #751 +#146 := (* -1::Int #140) +#219 := (if #203 #39 #146) +#222 := (if #20 0::Int #219) +#225 := (if #21 #16 #222) +#228 := (= #38 #225) +#231 := (forall (vars (?v0 Int) (?v1 Int)) #228) +#263 := (iff #231 #262) +#260 := (iff #228 #259) +#261 := [rewrite]: #260 +#264 := [quant-intro #261]: #263 +#108 := (not #107) +#115 := (not #114) +#118 := (and #115 #108) +#104 := (not #103) +#111 := (and #104 #108) +#121 := (or #111 #118) +#166 := (if #121 #39 #146) +#169 := (if #20 0::Int #166) +#172 := (if #21 #16 #169) +#175 := (= #38 #172) +#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) +#232 := (iff #178 #231) +#229 := (iff #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#220 := (= #166 #219) +#204 := (iff #121 #203) +#201 := (iff #118 #200) +#202 := [rewrite]: #201 +#191 := (iff #111 #198) +#192 := [rewrite]: #191 +#205 := [monotonicity #192 #202]: #204 +#221 := [monotonicity #205]: #220 +#224 := [monotonicity #221]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [quant-intro #230]: #232 +#189 := (~ #178 #178) +#188 := (~ #175 #175) +#185 := [refl]: #188 +#190 := [nnf-pos #185]: #189 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -38631,205 +36128,216 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#140 := (iff #46 #139) -#137 := (iff #45 #136) -#134 := (= #44 #133) -#131 := (= #43 #130) -#128 := (= #42 #127) -#125 := (= #41 #122) -#119 := (- #116) -#123 := (= #119 #122) -#124 := [rewrite]: #123 -#120 := (= #41 #119) -#117 := (= #40 #116) -#98 := (= #31 #97) -#99 := [rewrite]: #98 -#95 := (= #30 #94) -#96 := [rewrite]: #95 -#118 := [monotonicity #96 #99]: #117 -#121 := [monotonicity #118]: #120 -#126 := [trans #121 #124]: #125 -#91 := (iff #28 #90) -#88 := (iff #27 #87) -#73 := (iff #24 #72) -#74 := [rewrite]: #73 -#80 := (iff #26 #79) -#84 := (iff #79 #79) -#82 := (iff #78 #78) -#83 := [rewrite]: #82 -#85 := [monotonicity #83]: #84 -#81 := [rewrite]: #80 -#86 := [trans #81 #85]: #80 -#89 := [monotonicity #86 #74]: #88 -#76 := (iff #25 #75) -#69 := (iff #23 #68) -#70 := [rewrite]: #69 -#77 := [monotonicity #70 #74]: #76 -#92 := [monotonicity #77 #89]: #91 -#129 := [monotonicity #92 #126]: #128 -#132 := [monotonicity #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [quant-intro #138]: #140 -#50 := [asserted]: #46 -#142 := [mp #50 #141]: #139 -#203 := [mp #142 #202]: #200 -#211 := [mp~ #203 #210]: #200 -#251 := [mp #211 #250]: #248 -#282 := [mp #251 #281]: #279 -#710 := [mp #282 #709]: #705 -#54 := -3::Int +#181 := (iff #46 #178) +#151 := (if #28 #39 #146) +#154 := (if #20 0::Int #151) +#157 := (if #21 #16 #154) +#160 := (= #38 #157) +#163 := (forall (vars (?v0 Int) (?v1 Int)) #160) +#179 := (iff #163 #178) +#176 := (iff #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#167 := (= #151 #166) +#122 := (iff #28 #121) +#119 := (iff #27 #118) +#109 := (iff #24 #108) +#110 := [rewrite]: #109 +#116 := (iff #26 #115) +#117 := [rewrite]: #116 +#120 := [monotonicity #117 #110]: #119 +#112 := (iff #25 #111) +#105 := (iff #23 #104) +#106 := [rewrite]: #105 +#113 := [monotonicity #106 #110]: #112 +#123 := [monotonicity #113 #120]: #122 +#168 := [monotonicity #123]: #167 +#171 := [monotonicity #168]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [quant-intro #177]: #179 +#164 := (iff #46 #163) +#161 := (iff #45 #160) +#158 := (= #44 #157) +#155 := (= #43 #154) +#152 := (= #42 #151) +#149 := (= #41 #146) +#143 := (- #140) +#147 := (= #143 #146) +#148 := [rewrite]: #147 +#144 := (= #41 #143) +#141 := (= #40 #140) +#86 := (= #31 #85) +#87 := [rewrite]: #86 +#83 := (= #30 #82) +#84 := [rewrite]: #83 +#142 := [monotonicity #84 #87]: #141 +#145 := [monotonicity #142]: #144 +#150 := [trans #145 #148]: #149 +#153 := [monotonicity #150]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [quant-intro #162]: #164 +#182 := [trans #165 #180]: #181 +#139 := [asserted]: #46 +#183 := [mp #139 #182]: #178 +#186 := [mp~ #183 #190]: #178 +#234 := [mp #186 #233]: #231 +#265 := [mp #234 #264]: #262 +#753 := [mp #265 #752]: #748 +#67 := -3::Int #8 := 3::Int #9 := (f4 f5 3::Int) -#57 := (f3 #9 -3::Int) -#60 := (= #57 0::Int) -#63 := (not #60) +#70 := (f3 #9 -3::Int) +#73 := (= #70 0::Int) +#76 := (not #73) #10 := (- 3::Int) #11 := (f3 #9 #10) #13 := (= #11 0::Int) #14 := (not #13) -#64 := (iff #14 #63) -#61 := (iff #13 #60) -#58 := (= #11 #57) -#55 := (= #10 -3::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#48 := [asserted]: #14 -#66 := [mp #48 #65]: #63 -#530 := (not #705) -#532 := (or #530 #60) -#359 := (* -1::Int -3::Int) -#685 := (* -1::Int 3::Int) -#360 := (mod #685 #359) -#692 := (+ #57 #360) -#693 := (= #692 0::Int) -#689 := (mod 3::Int -3::Int) -#691 := (* -1::Int #689) -#348 := (+ #57 #691) -#478 := (= #348 0::Int) -#361 := (<= -3::Int 0::Int) -#374 := (>= 3::Int 0::Int) -#371 := (or #374 #361) -#375 := (not #371) -#370 := (<= 3::Int 0::Int) -#372 := (or #370 #361) -#373 := (not #372) -#354 := (or #373 #375) -#694 := (if #354 #478 #693) -#369 := (= 3::Int 0::Int) -#695 := (if #369 #60 #694) -#368 := (= #57 3::Int) -#283 := (= -3::Int 0::Int) -#690 := (if #283 #368 #695) -#533 := (or #530 #690) -#534 := (iff #533 #532) -#536 := (iff #532 #532) -#537 := [rewrite]: #536 -#630 := (iff #690 #60) -#481 := (if false #368 #60) -#626 := (iff #481 #60) -#627 := [rewrite]: #626 -#629 := (iff #690 #481) -#521 := (iff #695 #60) -#479 := (if false #60 #60) -#634 := (iff #479 #60) -#636 := [rewrite]: #634 -#638 := (iff #695 #479) -#637 := (iff #694 #60) -#480 := (iff #694 #479) -#648 := (iff #693 #60) -#647 := (= #692 #57) -#662 := (+ #57 0::Int) -#652 := (= #662 #57) -#653 := [rewrite]: #652 -#640 := (= #692 #662) -#645 := (= #360 0::Int) -#499 := (mod -3::Int 3::Int) -#643 := (= #499 0::Int) -#644 := [rewrite]: #643 -#500 := (= #360 #499) -#657 := (= #359 3::Int) -#498 := [rewrite]: #657 -#656 := (= #685 -3::Int) -#651 := [rewrite]: #656 -#642 := [monotonicity #651 #498]: #500 -#639 := [trans #642 #644]: #645 -#646 := [monotonicity #639]: #640 -#641 := [trans #646 #653]: #647 -#477 := [monotonicity #641]: #648 -#650 := (iff #478 #60) -#654 := (= #348 #57) -#659 := (= #348 #662) -#376 := (= #691 0::Int) -#380 := (* -1::Int 0::Int) -#660 := (= #380 0::Int) -#661 := [rewrite]: #660 -#381 := (= #691 #380) -#669 := (= #689 0::Int) -#379 := [rewrite]: #669 -#382 := [monotonicity #379]: #381 -#658 := [trans #382 #661]: #376 -#663 := [monotonicity #658]: #659 -#649 := [trans #663 #653]: #654 -#655 := [monotonicity #649]: #650 -#668 := (iff #354 false) -#666 := (or false false) -#390 := (iff #666 false) -#664 := [rewrite]: #390 -#667 := (iff #354 #666) -#396 := (iff #375 false) -#1 := true -#676 := (not true) -#673 := (iff #676 false) -#679 := [rewrite]: #673 -#394 := (iff #375 #676) -#671 := (iff #371 true) -#323 := (or true true) -#684 := (iff #323 true) -#670 := [rewrite]: #684 -#683 := (iff #371 #323) -#688 := (iff #361 true) -#331 := [rewrite]: #688 -#682 := (iff #374 true) -#322 := [rewrite]: #682 -#681 := [monotonicity #322 #331]: #683 -#393 := [trans #681 #670]: #671 -#395 := [monotonicity #393]: #394 -#289 := [trans #395 #679]: #396 -#317 := (iff #373 false) -#677 := (iff #373 #676) -#674 := (iff #372 true) -#672 := (or false true) -#337 := (iff #672 true) -#338 := [rewrite]: #337 -#335 := (iff #372 #672) -#687 := (iff #370 false) -#347 := [rewrite]: #687 -#336 := [monotonicity #347 #331]: #335 -#675 := [trans #336 #338]: #674 -#678 := [monotonicity #675]: #677 -#680 := [trans #678 #679]: #317 -#389 := [monotonicity #680 #289]: #667 -#665 := [trans #389 #664]: #668 -#633 := [monotonicity #665 #655 #477]: #480 -#635 := [trans #633 #636]: #637 -#346 := (iff #369 false) -#351 := [rewrite]: #346 -#520 := [monotonicity #351 #635]: #638 -#522 := [trans #520 #636]: #521 -#696 := (iff #283 false) -#686 := [rewrite]: #696 -#531 := [monotonicity #686 #522]: #629 -#515 := [trans #531 #627]: #630 -#535 := [monotonicity #515]: #534 -#538 := [trans #535 #537]: #534 -#526 := [quant-inst #8 #54]: #533 -#631 := [mp #526 #538]: #532 -[unit-resolution #631 #66 #710]: false -6eef1290fd4184aa5ca07b83a07cebe5b5459f61 351 0 -unsat +#77 := (iff #14 #76) +#74 := (iff #13 #73) +#71 := (= #11 #70) +#68 := (= #10 -3::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#66 := [asserted]: #14 +#81 := [mp #66 #78]: #76 +#573 := (not #748) +#575 := (or #573 #73) +#402 := (* -1::Int -3::Int) +#728 := (* -1::Int 3::Int) +#403 := (mod #728 #402) +#735 := (+ #70 #403) +#736 := (= #735 0::Int) +#732 := (mod 3::Int -3::Int) +#734 := (* -1::Int #732) +#391 := (+ #70 #734) +#521 := (= #391 0::Int) +#404 := (<= -3::Int 0::Int) +#417 := (>= 3::Int 0::Int) +#414 := (or #417 #404) +#418 := (not #414) +#413 := (<= 3::Int 0::Int) +#415 := (or #413 #404) +#416 := (not #415) +#397 := (or #416 #418) +#737 := (if #397 #521 #736) +#412 := (= 3::Int 0::Int) +#738 := (if #412 #73 #737) +#411 := (= #70 3::Int) +#327 := (= -3::Int 0::Int) +#733 := (if #327 #411 #738) +#576 := (or #573 #733) +#577 := (iff #576 #575) +#579 := (iff #575 #575) +#580 := [rewrite]: #579 +#673 := (iff #733 #73) +#524 := (if false #411 #73) +#669 := (iff #524 #73) +#670 := [rewrite]: #669 +#672 := (iff #733 #524) +#564 := (iff #738 #73) +#522 := (if false #73 #73) +#677 := (iff #522 #73) +#679 := [rewrite]: #677 +#681 := (iff #738 #522) +#680 := (iff #737 #73) +#523 := (iff #737 #522) +#691 := (iff #736 #73) +#690 := (= #735 #70) +#705 := (+ #70 0::Int) +#695 := (= #705 #70) +#696 := [rewrite]: #695 +#683 := (= #735 #705) +#688 := (= #403 0::Int) +#542 := (mod -3::Int 3::Int) +#686 := (= #542 0::Int) +#687 := [rewrite]: #686 +#543 := (= #403 #542) +#700 := (= #402 3::Int) +#541 := [rewrite]: #700 +#699 := (= #728 -3::Int) +#694 := [rewrite]: #699 +#685 := [monotonicity #694 #541]: #543 +#682 := [trans #685 #687]: #688 +#689 := [monotonicity #682]: #683 +#684 := [trans #689 #696]: #690 +#520 := [monotonicity #684]: #691 +#693 := (iff #521 #73) +#697 := (= #391 #70) +#702 := (= #391 #705) +#419 := (= #734 0::Int) +#423 := (* -1::Int 0::Int) +#703 := (= #423 0::Int) +#704 := [rewrite]: #703 +#424 := (= #734 #423) +#712 := (= #732 0::Int) +#422 := [rewrite]: #712 +#425 := [monotonicity #422]: #424 +#701 := [trans #425 #704]: #419 +#706 := [monotonicity #701]: #702 +#692 := [trans #706 #696]: #697 +#698 := [monotonicity #692]: #693 +#711 := (iff #397 false) +#709 := (or false false) +#433 := (iff #709 false) +#707 := [rewrite]: #433 +#710 := (iff #397 #709) +#439 := (iff #418 false) +#1 := true +#719 := (not true) +#716 := (iff #719 false) +#722 := [rewrite]: #716 +#437 := (iff #418 #719) +#714 := (iff #414 true) +#366 := (or true true) +#727 := (iff #366 true) +#713 := [rewrite]: #727 +#726 := (iff #414 #366) +#731 := (iff #404 true) +#374 := [rewrite]: #731 +#725 := (iff #417 true) +#365 := [rewrite]: #725 +#724 := [monotonicity #365 #374]: #726 +#436 := [trans #724 #713]: #714 +#438 := [monotonicity #436]: #437 +#333 := [trans #438 #722]: #439 +#360 := (iff #416 false) +#720 := (iff #416 #719) +#717 := (iff #415 true) +#715 := (or false true) +#380 := (iff #715 true) +#381 := [rewrite]: #380 +#378 := (iff #415 #715) +#730 := (iff #413 false) +#390 := [rewrite]: #730 +#379 := [monotonicity #390 #374]: #378 +#718 := [trans #379 #381]: #717 +#721 := [monotonicity #718]: #720 +#723 := [trans #721 #722]: #360 +#432 := [monotonicity #723 #333]: #710 +#708 := [trans #432 #707]: #711 +#676 := [monotonicity #708 #698 #520]: #523 +#678 := [trans #676 #679]: #680 +#389 := (iff #412 false) +#394 := [rewrite]: #389 +#563 := [monotonicity #394 #678]: #681 +#565 := [trans #563 #679]: #564 +#739 := (iff #327 false) +#729 := [rewrite]: #739 +#574 := [monotonicity #729 #565]: #672 +#558 := [trans #574 #670]: #673 +#578 := [monotonicity #558]: #577 +#581 := [trans #578 #580]: #577 +#569 := [quant-inst #8 #67]: #576 +#674 := [mp #569 #581]: #575 +[unit-resolution #674 #81 #753]: false +unsat +19af39eefe155fd5ea4a9cb81efe6bb66ad7e60b 335 0 #2 := false decl f3 :: (-> S2 Int Int) #20 := (:var 0 Int) @@ -38839,107 +36347,80 @@ #7 := f5 #40 := (f4 f5 #18) #41 := (f3 #40 #20) -#708 := (pattern #41) +#750 := (pattern #41) #22 := 0::Int -#63 := -1::Int -#102 := (* -1::Int #20) -#99 := (* -1::Int #18) -#121 := (mod #99 #102) -#277 := (+ #41 #121) -#278 := (= #277 0::Int) +#76 := -1::Int +#90 := (* -1::Int #20) +#86 := (* -1::Int #18) +#145 := (mod #86 #90) +#260 := (+ #41 #145) +#261 := (= #260 0::Int) #42 := (mod #18 #20) -#274 := (* -1::Int #42) -#275 := (+ #41 #274) -#276 := (= #275 0::Int) -#77 := (<= #20 0::Int) -#168 := (>= #18 0::Int) -#221 := (or #168 #77) -#222 := (not #221) -#73 := (<= #18 0::Int) -#217 := (or #73 #77) -#218 := (not #217) -#225 := (or #218 #222) -#279 := (if #225 #276 #278) -#273 := (= #41 0::Int) +#257 := (* -1::Int #42) +#258 := (+ #41 #257) +#259 := (= #258 0::Int) +#112 := (<= #20 0::Int) +#119 := (>= #18 0::Int) +#204 := (or #119 #112) +#205 := (not #204) +#108 := (<= #18 0::Int) +#202 := (or #108 #112) +#203 := (not #202) +#208 := (or #203 #205) +#262 := (if #208 #259 #261) +#256 := (= #41 0::Int) #23 := (= #18 0::Int) -#280 := (if #23 #273 #279) -#272 := (= #41 #18) +#263 := (if #23 #256 #262) +#255 := (= #41 #18) #24 := (= #20 0::Int) -#281 := (if #24 #272 #280) -#709 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #708) #281) -#284 := (forall (vars (?v0 Int) (?v1 Int)) #281) -#712 := (iff #284 #709) -#710 := (iff #281 #281) -#711 := [refl]: #710 -#713 := [quant-intro #711]: #712 -#127 := (* -1::Int #121) -#241 := (if #225 #42 #127) -#244 := (if #23 0::Int #241) -#247 := (if #24 #18 #244) -#250 := (= #41 #247) -#253 := (forall (vars (?v0 Int) (?v1 Int)) #250) -#285 := (iff #253 #284) -#282 := (iff #250 #281) -#283 := [rewrite]: #282 -#286 := [quant-intro #283]: #285 -#78 := (not #77) -#171 := (not #168) -#174 := (and #171 #78) -#74 := (not #73) -#81 := (and #74 #78) -#177 := (or #81 #174) -#193 := (if #177 #42 #127) -#196 := (if #23 0::Int #193) -#199 := (if #24 #18 #196) -#202 := (= #41 #199) -#205 := (forall (vars (?v0 Int) (?v1 Int)) #202) -#254 := (iff #205 #253) -#251 := (iff #202 #250) -#248 := (= #199 #247) -#245 := (= #196 #244) -#242 := (= #193 #241) -#226 := (iff #177 #225) -#223 := (iff #174 #222) -#224 := [rewrite]: #223 -#219 := (iff #81 #218) -#220 := [rewrite]: #219 -#227 := [monotonicity #220 #224]: #226 -#243 := [monotonicity #227]: #242 -#246 := [monotonicity #243]: #245 -#249 := [monotonicity #246]: #248 -#252 := [monotonicity #249]: #251 -#255 := [quant-intro #252]: #254 -#167 := (~ #205 #205) -#212 := (~ #202 #202) -#166 := [refl]: #212 -#215 := [nnf-pos #166]: #167 -#84 := (<= 0::Int #18) -#85 := (not #84) -#93 := (and #85 #78) -#96 := (or #81 #93) -#132 := (if #96 #42 #127) -#135 := (if #23 0::Int #132) -#138 := (if #24 #18 #135) -#141 := (= #41 #138) -#144 := (forall (vars (?v0 Int) (?v1 Int)) #141) -#206 := (iff #144 #205) -#203 := (iff #141 #202) -#200 := (= #138 #199) -#197 := (= #135 #196) -#194 := (= #132 #193) -#178 := (iff #96 #177) -#175 := (iff #93 #174) -#172 := (iff #85 #171) -#169 := (iff #84 #168) -#170 := [rewrite]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#195 := [monotonicity #179]: #194 -#198 := [monotonicity #195]: #197 -#201 := [monotonicity #198]: #200 -#204 := [monotonicity #201]: #203 -#207 := [quant-intro #204]: #206 +#264 := (if #24 #255 #263) +#751 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #750) #264) +#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) +#754 := (iff #267 #751) +#752 := (iff #264 #264) +#753 := [refl]: #752 +#755 := [quant-intro #753]: #754 +#151 := (* -1::Int #145) +#224 := (if #208 #42 #151) +#227 := (if #23 0::Int #224) +#230 := (if #24 #18 #227) +#233 := (= #41 #230) +#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) +#268 := (iff #236 #267) +#265 := (iff #233 #264) +#266 := [rewrite]: #265 +#269 := [quant-intro #266]: #268 +#113 := (not #112) +#120 := (not #119) +#123 := (and #120 #113) +#109 := (not #108) +#116 := (and #109 #113) +#126 := (or #116 #123) +#171 := (if #126 #42 #151) +#174 := (if #23 0::Int #171) +#177 := (if #24 #18 #174) +#180 := (= #41 #177) +#183 := (forall (vars (?v0 Int) (?v1 Int)) #180) +#237 := (iff #183 #236) +#234 := (iff #180 #233) +#231 := (= #177 #230) +#228 := (= #174 #227) +#225 := (= #171 #224) +#209 := (iff #126 #208) +#206 := (iff #123 #205) +#207 := [rewrite]: #206 +#196 := (iff #116 #203) +#197 := [rewrite]: #196 +#210 := [monotonicity #197 #207]: #209 +#226 := [monotonicity #210]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [monotonicity #232]: #234 +#238 := [quant-intro #235]: #237 +#194 := (~ #183 #183) +#193 := (~ #180 #180) +#190 := [refl]: #193 +#195 := [nnf-pos #190]: #194 #34 := (- #20) #33 := (- #18) #43 := (mod #33 #34) @@ -38955,59 +36436,70 @@ #47 := (if #24 #18 #46) #48 := (= #41 #47) #49 := (forall (vars (?v0 Int) (?v1 Int)) #48) -#145 := (iff #49 #144) -#142 := (iff #48 #141) -#139 := (= #47 #138) -#136 := (= #46 #135) -#133 := (= #45 #132) -#130 := (= #44 #127) -#124 := (- #121) -#128 := (= #124 #127) -#129 := [rewrite]: #128 -#125 := (= #44 #124) -#122 := (= #43 #121) -#103 := (= #34 #102) -#104 := [rewrite]: #103 -#100 := (= #33 #99) -#101 := [rewrite]: #100 -#123 := [monotonicity #101 #104]: #122 -#126 := [monotonicity #123]: #125 -#131 := [trans #126 #129]: #130 -#97 := (iff #31 #96) -#94 := (iff #30 #93) -#79 := (iff #27 #78) -#80 := [rewrite]: #79 -#86 := (iff #29 #85) -#90 := (iff #85 #85) -#88 := (iff #84 #84) +#186 := (iff #49 #183) +#156 := (if #31 #42 #151) +#159 := (if #23 0::Int #156) +#162 := (if #24 #18 #159) +#165 := (= #41 #162) +#168 := (forall (vars (?v0 Int) (?v1 Int)) #165) +#184 := (iff #168 #183) +#181 := (iff #165 #180) +#178 := (= #162 #177) +#175 := (= #159 #174) +#172 := (= #156 #171) +#127 := (iff #31 #126) +#124 := (iff #30 #123) +#114 := (iff #27 #113) +#115 := [rewrite]: #114 +#121 := (iff #29 #120) +#122 := [rewrite]: #121 +#125 := [monotonicity #122 #115]: #124 +#117 := (iff #28 #116) +#110 := (iff #26 #109) +#111 := [rewrite]: #110 +#118 := [monotonicity #111 #115]: #117 +#128 := [monotonicity #118 #125]: #127 +#173 := [monotonicity #128]: #172 +#176 := [monotonicity #173]: #175 +#179 := [monotonicity #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [quant-intro #182]: #184 +#169 := (iff #49 #168) +#166 := (iff #48 #165) +#163 := (= #47 #162) +#160 := (= #46 #159) +#157 := (= #45 #156) +#154 := (= #44 #151) +#148 := (- #145) +#152 := (= #148 #151) +#153 := [rewrite]: #152 +#149 := (= #44 #148) +#146 := (= #43 #145) +#91 := (= #34 #90) +#92 := [rewrite]: #91 +#88 := (= #33 #86) #89 := [rewrite]: #88 -#91 := [monotonicity #89]: #90 -#87 := [rewrite]: #86 -#92 := [trans #87 #91]: #86 -#95 := [monotonicity #92 #80]: #94 -#82 := (iff #28 #81) -#75 := (iff #26 #74) -#76 := [rewrite]: #75 -#83 := [monotonicity #76 #80]: #82 -#98 := [monotonicity #83 #95]: #97 -#134 := [monotonicity #98 #131]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#143 := [monotonicity #140]: #142 -#146 := [quant-intro #143]: #145 -#53 := [asserted]: #49 -#147 := [mp #53 #146]: #144 -#208 := [mp #147 #207]: #205 -#216 := [mp~ #208 #215]: #205 -#256 := [mp #216 #255]: #253 -#287 := [mp #256 #286]: #284 -#714 := [mp #287 #713]: #709 -#57 := -3::Int +#147 := [monotonicity #89 #92]: #146 +#150 := [monotonicity #147]: #149 +#155 := [trans #150 #153]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [monotonicity #164]: #166 +#170 := [quant-intro #167]: #169 +#187 := [trans #170 #185]: #186 +#144 := [asserted]: #49 +#188 := [mp #144 #187]: #183 +#191 := [mp~ #188 #195]: #183 +#239 := [mp #191 #238]: #236 +#270 := [mp #239 #269]: #267 +#756 := [mp #270 #755]: #751 +#70 := -3::Int #8 := 5::Int #9 := (f4 f5 5::Int) -#60 := (f3 #9 -3::Int) -#66 := (= #60 -1::Int) -#69 := (not #66) +#73 := (f3 #9 -3::Int) +#79 := (= #73 -1::Int) +#82 := (not #79) #13 := 1::Int #14 := (- 1::Int) #10 := 3::Int @@ -39015,173 +36507,173 @@ #12 := (f3 #9 #11) #15 := (= #12 #14) #16 := (not #15) -#70 := (iff #16 #69) -#67 := (iff #15 #66) -#64 := (= #14 -1::Int) -#65 := [rewrite]: #64 -#61 := (= #12 #60) -#58 := (= #11 -3::Int) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#68 := [monotonicity #62 #65]: #67 -#71 := [monotonicity #68]: #70 -#51 := [asserted]: #16 -#72 := [mp #51 #71]: #69 -#619 := (not #709) -#620 := (or #619 #66) -#364 := (* -1::Int -3::Int) -#363 := (* -1::Int 5::Int) -#696 := (mod #363 #364) -#697 := (+ #60 #696) -#698 := (= #697 0::Int) -#695 := (mod 5::Int -3::Int) -#352 := (* -1::Int #695) -#482 := (+ #60 #352) -#689 := (= #482 0::Int) -#376 := (<= -3::Int 0::Int) -#375 := (>= 5::Int 0::Int) -#379 := (or #375 #376) -#358 := (not #379) -#365 := (<= 5::Int 0::Int) -#377 := (or #365 #376) -#378 := (not #377) -#693 := (or #378 #358) -#699 := (if #693 #689 #698) -#374 := (= #60 0::Int) -#373 := (= 5::Int 0::Int) -#694 := (if #373 #374 #699) -#372 := (= #60 5::Int) -#288 := (= -3::Int 0::Int) -#700 := (if #288 #372 #694) -#621 := (or #619 #700) -#622 := (iff #621 #620) -#607 := (iff #620 #620) -#609 := [rewrite]: #607 -#629 := (iff #700 #66) -#616 := (if false #372 #66) -#628 := (iff #616 #66) -#624 := [rewrite]: #628 -#626 := (iff #700 #616) -#617 := (iff #694 #66) -#635 := (if false #374 #66) -#623 := (iff #635 #66) -#625 := [rewrite]: #623 -#632 := (iff #694 #635) -#541 := (iff #699 #66) -#383 := 2::Int -#504 := (= #60 2::Int) -#537 := (if false #504 #66) -#539 := (iff #537 #66) -#540 := [rewrite]: #539 -#530 := (iff #699 #537) -#534 := (iff #698 #66) -#524 := (+ 1::Int #60) -#535 := (= #524 0::Int) -#634 := (iff #535 #66) -#519 := [rewrite]: #634 -#630 := (iff #698 #535) -#485 := (= #697 #524) -#641 := (+ #60 1::Int) -#525 := (= #641 #524) +#83 := (iff #16 #82) +#80 := (iff #15 #79) +#77 := (= #14 -1::Int) +#78 := [rewrite]: #77 +#74 := (= #12 #73) +#71 := (= #11 -3::Int) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#81 := [monotonicity #75 #78]: #80 +#84 := [monotonicity #81]: #83 +#69 := [asserted]: #16 +#87 := [mp #69 #84]: #82 +#660 := (not #751) +#661 := (or #660 #79) +#406 := (* -1::Int -3::Int) +#405 := (* -1::Int 5::Int) +#738 := (mod #405 #406) +#739 := (+ #73 #738) +#740 := (= #739 0::Int) +#737 := (mod 5::Int -3::Int) +#394 := (* -1::Int #737) +#524 := (+ #73 #394) +#731 := (= #524 0::Int) +#418 := (<= -3::Int 0::Int) +#417 := (>= 5::Int 0::Int) +#421 := (or #417 #418) +#400 := (not #421) +#407 := (<= 5::Int 0::Int) +#419 := (or #407 #418) +#420 := (not #419) +#735 := (or #420 #400) +#741 := (if #735 #731 #740) +#416 := (= #73 0::Int) +#415 := (= 5::Int 0::Int) +#736 := (if #415 #416 #741) +#414 := (= #73 5::Int) +#330 := (= -3::Int 0::Int) +#742 := (if #330 #414 #736) +#662 := (or #660 #742) +#657 := (iff #662 #661) +#648 := (iff #661 #661) +#649 := [rewrite]: #648 +#666 := (iff #742 #79) +#656 := (if false #414 #79) +#669 := (iff #656 #79) +#670 := [rewrite]: #669 +#658 := (iff #742 #656) +#667 := (iff #736 #79) +#584 := (if false #416 #79) +#678 := (iff #584 #79) +#665 := [rewrite]: #678 +#677 := (iff #736 #584) +#582 := (iff #741 #79) +#291 := 2::Int +#545 := (= #73 2::Int) +#578 := (if false #545 #79) +#580 := (iff #578 #79) +#581 := [rewrite]: #580 +#579 := (iff #741 #578) +#561 := (iff #740 #79) +#684 := (+ 1::Int #73) +#675 := (= #684 0::Int) +#673 := (iff #675 #79) +#676 := [rewrite]: #673 +#577 := (iff #740 #675) +#568 := (= #739 #684) +#682 := (+ #73 1::Int) +#566 := (= #682 #684) +#567 := [rewrite]: #566 +#683 := (= #739 #682) +#679 := (= #738 1::Int) +#691 := -5::Int +#687 := (mod -5::Int 3::Int) +#525 := (= #687 1::Int) #526 := [rewrite]: #525 -#639 := (= #697 #641) -#638 := (= #696 1::Int) -#643 := -5::Int -#652 := (mod -5::Int 3::Int) -#484 := (= #652 1::Int) -#637 := [rewrite]: #484 -#481 := (= #696 #652) -#651 := (= #364 3::Int) -#645 := [rewrite]: #651 -#644 := (= #363 -5::Int) -#650 := [rewrite]: #644 -#483 := [monotonicity #650 #645]: #481 -#640 := [trans #483 #637]: #638 -#642 := [monotonicity #640]: #639 -#633 := [trans #642 #526]: #485 -#631 := [monotonicity #633]: #630 -#536 := [trans #631 #519]: #534 -#648 := (iff #689 #504) -#380 := -2::Int -#653 := (+ -2::Int #60) -#661 := (= #653 0::Int) -#646 := (iff #661 #504) -#647 := [rewrite]: #646 -#502 := (iff #689 #661) -#660 := (= #482 #653) -#656 := (+ #60 -2::Int) -#654 := (= #656 #653) -#659 := [rewrite]: #654 -#657 := (= #482 #656) -#663 := (= #352 -2::Int) -#386 := (* -1::Int 2::Int) -#662 := (= #386 -2::Int) -#666 := [rewrite]: #662 -#664 := (= #352 #386) -#384 := (= #695 2::Int) -#385 := [rewrite]: #384 -#665 := [monotonicity #385]: #664 -#667 := [trans #665 #666]: #663 -#658 := [monotonicity #667]: #657 -#655 := [trans #658 #659]: #660 -#503 := [monotonicity #655]: #502 -#649 := [trans #503 #647]: #648 -#669 := (iff #693 false) -#671 := (or false false) -#668 := (iff #671 false) -#672 := [rewrite]: #668 -#393 := (iff #693 #671) -#294 := (iff #358 false) -#1 := true -#681 := (not true) -#683 := (iff #681 false) -#321 := [rewrite]: #683 -#399 := (iff #358 #681) -#397 := (iff #379 true) -#687 := (or true true) -#674 := (iff #687 true) -#675 := [rewrite]: #674 -#685 := (iff #379 #687) -#335 := (iff #376 true) -#676 := [rewrite]: #335 -#326 := (iff #375 true) -#327 := [rewrite]: #326 -#688 := [monotonicity #327 #676]: #685 -#398 := [trans #688 #675]: #397 -#400 := [monotonicity #398]: #399 -#670 := [trans #400 #321]: #294 -#684 := (iff #378 false) -#682 := (iff #378 #681) -#679 := (iff #377 true) -#339 := (or false true) -#342 := (iff #339 true) -#678 := [rewrite]: #342 -#340 := (iff #377 #339) -#351 := (iff #365 false) -#692 := [rewrite]: #351 -#341 := [monotonicity #692 #676]: #340 -#680 := [trans #341 #678]: #679 -#677 := [monotonicity #680]: #682 -#686 := [trans #677 #321]: #684 -#394 := [monotonicity #686 #670]: #393 -#673 := [trans #394 #672]: #669 -#538 := [monotonicity #673 #649 #536]: #530 -#542 := [trans #538 #540]: #541 -#355 := (iff #373 false) -#691 := [rewrite]: #355 -#636 := [monotonicity #691 #542]: #632 -#614 := [trans #636 #625]: #617 -#690 := (iff #288 false) -#350 := [rewrite]: #690 -#627 := [monotonicity #350 #614]: #626 -#618 := [trans #627 #624]: #629 -#606 := [monotonicity #618]: #622 -#610 := [trans #606 #609]: #622 -#615 := [quant-inst #8 #57]: #621 -#611 := [mp #615 #610]: #620 -[unit-resolution #611 #72 #714]: false -6e4e56fbe00a817abbb464ec634b76cfe95ffdd1 351 0 -unsat +#694 := (= #738 #687) +#692 := (= #406 3::Int) +#693 := [rewrite]: #692 +#685 := (= #405 -5::Int) +#686 := [rewrite]: #685 +#523 := [monotonicity #686 #693]: #694 +#680 := [trans #523 #526]: #679 +#681 := [monotonicity #680]: #683 +#527 := [trans #681 #567]: #568 +#672 := [monotonicity #527]: #577 +#576 := [trans #672 #676]: #561 +#689 := (iff #731 #545) +#707 := -2::Int +#700 := (+ -2::Int #73) +#697 := (= #700 0::Int) +#546 := (iff #697 #545) +#688 := [rewrite]: #546 +#703 := (iff #731 #697) +#701 := (= #524 #700) +#709 := (+ #73 -2::Int) +#695 := (= #709 #700) +#696 := [rewrite]: #695 +#698 := (= #524 #709) +#708 := (= #394 -2::Int) +#427 := (* -1::Int 2::Int) +#422 := (= #427 -2::Int) +#704 := [rewrite]: #422 +#428 := (= #394 #427) +#425 := (= #737 2::Int) +#426 := [rewrite]: #425 +#706 := [monotonicity #426]: #428 +#705 := [trans #706 #704]: #708 +#699 := [monotonicity #705]: #698 +#702 := [trans #699 #696]: #701 +#544 := [monotonicity #702]: #703 +#690 := [trans #544 #688]: #689 +#711 := (iff #735 false) +#713 := (or false false) +#710 := (iff #713 false) +#714 := [rewrite]: #710 +#435 := (iff #735 #713) +#336 := (iff #400 false) +#1 := true +#723 := (not true) +#725 := (iff #723 false) +#363 := [rewrite]: #725 +#441 := (iff #400 #723) +#439 := (iff #421 true) +#729 := (or true true) +#716 := (iff #729 true) +#717 := [rewrite]: #716 +#727 := (iff #421 #729) +#377 := (iff #418 true) +#718 := [rewrite]: #377 +#368 := (iff #417 true) +#369 := [rewrite]: #368 +#730 := [monotonicity #369 #718]: #727 +#440 := [trans #730 #717]: #439 +#442 := [monotonicity #440]: #441 +#712 := [trans #442 #363]: #336 +#726 := (iff #420 false) +#724 := (iff #420 #723) +#721 := (iff #419 true) +#381 := (or false true) +#384 := (iff #381 true) +#720 := [rewrite]: #384 +#382 := (iff #419 #381) +#393 := (iff #407 false) +#734 := [rewrite]: #393 +#383 := [monotonicity #734 #718]: #382 +#722 := [trans #383 #720]: #721 +#719 := [monotonicity #722]: #724 +#728 := [trans #719 #363]: #726 +#436 := [monotonicity #728 #712]: #435 +#715 := [trans #436 #714]: #711 +#572 := [monotonicity #715 #690 #576]: #579 +#583 := [trans #572 #581]: #582 +#397 := (iff #415 false) +#733 := [rewrite]: #397 +#674 := [monotonicity #733 #583]: #677 +#659 := [trans #674 #665]: #667 +#732 := (iff #330 false) +#392 := [rewrite]: #732 +#668 := [monotonicity #392 #659]: #658 +#671 := [trans #668 #670]: #666 +#664 := [monotonicity #671]: #657 +#651 := [trans #664 #649]: #657 +#663 := [quant-inst #8 #70]: #662 +#652 := [mp #663 #651]: #661 +[unit-resolution #652 #87 #756]: false +unsat +a7fdbc0f19f952e6755be949d9ee0ea28b9c032d 335 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -39191,107 +36683,80 @@ #7 := f5 #39 := (f4 f5 #17) #40 := (f3 #39 #19) -#707 := (pattern #40) +#749 := (pattern #40) #21 := 0::Int -#56 := -1::Int -#101 := (* -1::Int #19) -#98 := (* -1::Int #17) -#120 := (mod #98 #101) -#276 := (+ #40 #120) -#277 := (= #276 0::Int) +#69 := -1::Int +#89 := (* -1::Int #19) +#85 := (* -1::Int #17) +#144 := (mod #85 #89) +#259 := (+ #40 #144) +#260 := (= #259 0::Int) #41 := (mod #17 #19) -#273 := (* -1::Int #41) -#274 := (+ #40 #273) -#275 := (= #274 0::Int) -#76 := (<= #19 0::Int) -#167 := (>= #17 0::Int) -#220 := (or #167 #76) -#221 := (not #220) -#72 := (<= #17 0::Int) -#216 := (or #72 #76) -#217 := (not #216) -#224 := (or #217 #221) -#278 := (if #224 #275 #277) -#272 := (= #40 0::Int) +#256 := (* -1::Int #41) +#257 := (+ #40 #256) +#258 := (= #257 0::Int) +#111 := (<= #19 0::Int) +#118 := (>= #17 0::Int) +#203 := (or #118 #111) +#204 := (not #203) +#107 := (<= #17 0::Int) +#201 := (or #107 #111) +#202 := (not #201) +#207 := (or #202 #204) +#261 := (if #207 #258 #260) +#255 := (= #40 0::Int) #22 := (= #17 0::Int) -#279 := (if #22 #272 #278) -#271 := (= #40 #17) +#262 := (if #22 #255 #261) +#254 := (= #40 #17) #23 := (= #19 0::Int) -#280 := (if #23 #271 #279) -#708 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #707) #280) -#283 := (forall (vars (?v0 Int) (?v1 Int)) #280) -#711 := (iff #283 #708) -#709 := (iff #280 #280) -#710 := [refl]: #709 -#712 := [quant-intro #710]: #711 -#126 := (* -1::Int #120) -#240 := (if #224 #41 #126) -#243 := (if #22 0::Int #240) -#246 := (if #23 #17 #243) -#249 := (= #40 #246) -#252 := (forall (vars (?v0 Int) (?v1 Int)) #249) -#284 := (iff #252 #283) -#281 := (iff #249 #280) -#282 := [rewrite]: #281 -#285 := [quant-intro #282]: #284 -#77 := (not #76) -#170 := (not #167) -#173 := (and #170 #77) -#73 := (not #72) -#80 := (and #73 #77) -#176 := (or #80 #173) -#192 := (if #176 #41 #126) -#195 := (if #22 0::Int #192) -#198 := (if #23 #17 #195) -#201 := (= #40 #198) -#204 := (forall (vars (?v0 Int) (?v1 Int)) #201) -#253 := (iff #204 #252) -#250 := (iff #201 #249) -#247 := (= #198 #246) -#244 := (= #195 #243) -#241 := (= #192 #240) -#225 := (iff #176 #224) -#222 := (iff #173 #221) -#223 := [rewrite]: #222 -#218 := (iff #80 #217) -#219 := [rewrite]: #218 -#226 := [monotonicity #219 #223]: #225 -#242 := [monotonicity #226]: #241 -#245 := [monotonicity #242]: #244 -#248 := [monotonicity #245]: #247 -#251 := [monotonicity #248]: #250 -#254 := [quant-intro #251]: #253 -#166 := (~ #204 #204) -#211 := (~ #201 #201) -#165 := [refl]: #211 -#214 := [nnf-pos #165]: #166 -#83 := (<= 0::Int #17) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#131 := (if #95 #41 #126) -#134 := (if #22 0::Int #131) -#137 := (if #23 #17 #134) -#140 := (= #40 #137) -#143 := (forall (vars (?v0 Int) (?v1 Int)) #140) -#205 := (iff #143 #204) -#202 := (iff #140 #201) -#199 := (= #137 #198) -#196 := (= #134 #195) -#193 := (= #131 #192) -#177 := (iff #95 #176) -#174 := (iff #92 #173) -#171 := (iff #84 #170) -#168 := (iff #83 #167) -#169 := [rewrite]: #168 -#172 := [monotonicity #169]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#194 := [monotonicity #178]: #193 -#197 := [monotonicity #194]: #196 -#200 := [monotonicity #197]: #199 -#203 := [monotonicity #200]: #202 -#206 := [quant-intro #203]: #205 +#263 := (if #23 #254 #262) +#750 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #749) #263) +#266 := (forall (vars (?v0 Int) (?v1 Int)) #263) +#753 := (iff #266 #750) +#751 := (iff #263 #263) +#752 := [refl]: #751 +#754 := [quant-intro #752]: #753 +#150 := (* -1::Int #144) +#223 := (if #207 #41 #150) +#226 := (if #22 0::Int #223) +#229 := (if #23 #17 #226) +#232 := (= #40 #229) +#235 := (forall (vars (?v0 Int) (?v1 Int)) #232) +#267 := (iff #235 #266) +#264 := (iff #232 #263) +#265 := [rewrite]: #264 +#268 := [quant-intro #265]: #267 +#112 := (not #111) +#119 := (not #118) +#122 := (and #119 #112) +#108 := (not #107) +#115 := (and #108 #112) +#125 := (or #115 #122) +#170 := (if #125 #41 #150) +#173 := (if #22 0::Int #170) +#176 := (if #23 #17 #173) +#179 := (= #40 #176) +#182 := (forall (vars (?v0 Int) (?v1 Int)) #179) +#236 := (iff #182 #235) +#233 := (iff #179 #232) +#230 := (= #176 #229) +#227 := (= #173 #226) +#224 := (= #170 #223) +#208 := (iff #125 #207) +#205 := (iff #122 #204) +#206 := [rewrite]: #205 +#195 := (iff #115 #202) +#196 := [rewrite]: #195 +#209 := [monotonicity #196 #206]: #208 +#225 := [monotonicity #209]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [monotonicity #231]: #233 +#237 := [quant-intro #234]: #236 +#193 := (~ #182 #182) +#192 := (~ #179 #179) +#189 := [refl]: #192 +#194 := [nnf-pos #189]: #193 #33 := (- #19) #32 := (- #17) #42 := (mod #32 #33) @@ -39307,233 +36772,244 @@ #46 := (if #23 #17 #45) #47 := (= #40 #46) #48 := (forall (vars (?v0 Int) (?v1 Int)) #47) -#144 := (iff #48 #143) -#141 := (iff #47 #140) -#138 := (= #46 #137) -#135 := (= #45 #134) -#132 := (= #44 #131) -#129 := (= #43 #126) -#123 := (- #120) -#127 := (= #123 #126) -#128 := [rewrite]: #127 -#124 := (= #43 #123) -#121 := (= #42 #120) -#102 := (= #33 #101) -#103 := [rewrite]: #102 -#99 := (= #32 #98) -#100 := [rewrite]: #99 -#122 := [monotonicity #100 #103]: #121 -#125 := [monotonicity #122]: #124 -#130 := [trans #125 #128]: #129 -#96 := (iff #30 #95) -#93 := (iff #29 #92) -#78 := (iff #26 #77) -#79 := [rewrite]: #78 -#85 := (iff #28 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) +#185 := (iff #48 #182) +#155 := (if #30 #41 #150) +#158 := (if #22 0::Int #155) +#161 := (if #23 #17 #158) +#164 := (= #40 #161) +#167 := (forall (vars (?v0 Int) (?v1 Int)) #164) +#183 := (iff #167 #182) +#180 := (iff #164 #179) +#177 := (= #161 #176) +#174 := (= #158 #173) +#171 := (= #155 #170) +#126 := (iff #30 #125) +#123 := (iff #29 #122) +#113 := (iff #26 #112) +#114 := [rewrite]: #113 +#120 := (iff #28 #119) +#121 := [rewrite]: #120 +#124 := [monotonicity #121 #114]: #123 +#116 := (iff #27 #115) +#109 := (iff #25 #108) +#110 := [rewrite]: #109 +#117 := [monotonicity #110 #114]: #116 +#127 := [monotonicity #117 #124]: #126 +#172 := [monotonicity #127]: #171 +#175 := [monotonicity #172]: #174 +#178 := [monotonicity #175]: #177 +#181 := [monotonicity #178]: #180 +#184 := [quant-intro #181]: #183 +#168 := (iff #48 #167) +#165 := (iff #47 #164) +#162 := (= #46 #161) +#159 := (= #45 #158) +#156 := (= #44 #155) +#153 := (= #43 #150) +#147 := (- #144) +#151 := (= #147 #150) +#152 := [rewrite]: #151 +#148 := (= #43 #147) +#145 := (= #42 #144) +#90 := (= #33 #89) +#91 := [rewrite]: #90 +#87 := (= #32 #85) #88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #27 #80) -#74 := (iff #25 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#133 := [monotonicity #97 #130]: #132 -#136 := [monotonicity #133]: #135 -#139 := [monotonicity #136]: #138 -#142 := [monotonicity #139]: #141 -#145 := [quant-intro #142]: #144 -#52 := [asserted]: #48 -#146 := [mp #52 #145]: #143 -#207 := [mp #146 #206]: #204 -#215 := [mp~ #207 #214]: #204 -#255 := [mp #215 #254]: #252 -#286 := [mp #255 #285]: #283 -#713 := [mp #286 #712]: #708 +#146 := [monotonicity #88 #91]: #145 +#149 := [monotonicity #146]: #148 +#154 := [trans #149 #152]: #153 +#157 := [monotonicity #154]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [monotonicity #163]: #165 +#169 := [quant-intro #166]: #168 +#186 := [trans #169 #184]: #185 +#143 := [asserted]: #48 +#187 := [mp #143 #186]: #182 +#190 := [mp~ #187 #194]: #182 +#238 := [mp #190 #237]: #235 +#269 := [mp #238 #268]: #266 +#755 := [mp #269 #754]: #750 #13 := 2::Int #11 := 3::Int -#59 := (f4 f5 -1::Int) -#62 := (f3 #59 3::Int) -#65 := (= #62 2::Int) -#68 := (not #65) +#72 := (f4 f5 -1::Int) +#75 := (f3 #72 3::Int) +#78 := (= #75 2::Int) +#81 := (not #78) #8 := 1::Int #9 := (- 1::Int) #10 := (f4 f5 #9) #12 := (f3 #10 3::Int) #14 := (= #12 2::Int) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #12 #62) -#60 := (= #10 #59) -#57 := (= #9 -1::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#619 := (not #708) -#620 := (or #619 #65) -#363 := (* -1::Int 3::Int) -#362 := (* -1::Int -1::Int) -#695 := (mod #362 #363) -#696 := (+ #62 #695) -#697 := (= #696 0::Int) -#694 := (mod -1::Int 3::Int) -#351 := (* -1::Int #694) -#481 := (+ #62 #351) -#688 := (= #481 0::Int) -#375 := (<= 3::Int 0::Int) -#374 := (>= -1::Int 0::Int) -#378 := (or #374 #375) -#357 := (not #378) -#364 := (<= -1::Int 0::Int) -#376 := (or #364 #375) -#377 := (not #376) -#692 := (or #377 #357) -#698 := (if #692 #688 #697) -#373 := (= #62 0::Int) -#372 := (= -1::Int 0::Int) -#693 := (if #372 #373 #698) -#371 := (= #62 -1::Int) -#287 := (= 3::Int 0::Int) -#699 := (if #287 #371 #693) -#614 := (or #619 #699) -#605 := (iff #614 #620) -#608 := (iff #620 #620) -#609 := [rewrite]: #608 -#617 := (iff #699 #65) -#625 := (if false #371 #65) -#623 := (iff #625 #65) -#628 := [rewrite]: #623 -#626 := (iff #699 #625) -#613 := (iff #693 #65) -#631 := (if false #373 #65) -#624 := (iff #631 #65) -#616 := [rewrite]: #624 -#635 := (iff #693 #631) -#541 := (iff #698 #65) -#1 := true -#529 := (if true #65 #371) -#539 := (iff #529 #65) -#540 := [rewrite]: #539 -#537 := (iff #698 #529) -#535 := (iff #697 #371) -#524 := (+ 1::Int #62) -#629 := (= #524 0::Int) -#518 := (iff #629 #371) -#533 := [rewrite]: #518 -#630 := (iff #697 #629) -#632 := (= #696 #524) -#638 := (+ #62 1::Int) -#525 := (= #638 #524) -#484 := [rewrite]: #525 -#641 := (= #696 #638) -#639 := (= #695 1::Int) -#650 := -3::Int -#480 := (mod 1::Int -3::Int) -#636 := (= #480 1::Int) -#637 := [rewrite]: #636 -#482 := (= #695 #480) -#644 := (= #363 -3::Int) -#651 := [rewrite]: #644 -#643 := (= #362 1::Int) -#649 := [rewrite]: #643 -#483 := [monotonicity #649 #651]: #482 -#640 := [trans #483 #637]: #639 -#523 := [monotonicity #640]: #641 -#534 := [trans #523 #484]: #632 -#633 := [monotonicity #534]: #630 -#536 := [trans #633 #533]: #535 -#648 := (iff #688 #65) -#665 := -2::Int -#658 := (+ -2::Int #62) -#502 := (= #658 0::Int) -#646 := (iff #502 #65) -#647 := [rewrite]: #646 -#503 := (iff #688 #502) -#660 := (= #481 #658) -#657 := (+ #62 -2::Int) -#659 := (= #657 #658) -#654 := [rewrite]: #659 -#652 := (= #481 #657) -#655 := (= #351 -2::Int) -#664 := (* -1::Int 2::Int) -#662 := (= #664 -2::Int) -#666 := [rewrite]: #662 -#379 := (= #351 #664) -#385 := (= #694 2::Int) -#663 := [rewrite]: #385 -#661 := [monotonicity #663]: #379 -#656 := [trans #661 #666]: #655 -#653 := [monotonicity #656]: #652 -#501 := [trans #653 #654]: #660 -#645 := [monotonicity #501]: #503 -#642 := [trans #645 #647]: #648 -#383 := (iff #692 true) -#667 := (or false true) -#672 := (iff #667 true) -#382 := [rewrite]: #672 -#671 := (iff #692 #667) -#392 := (iff #357 true) -#398 := (not false) -#669 := (iff #398 true) -#670 := [rewrite]: #669 -#399 := (iff #357 #398) -#396 := (iff #378 false) -#686 := (or false false) -#673 := (iff #686 false) -#674 := [rewrite]: #673 -#684 := (iff #378 #686) -#334 := (iff #375 false) -#675 := [rewrite]: #334 -#325 := (iff #374 false) -#326 := [rewrite]: #325 -#687 := [monotonicity #326 #675]: #684 -#397 := [trans #687 #674]: #396 -#293 := [monotonicity #397]: #399 -#393 := [trans #293 #670]: #392 -#683 := (iff #377 false) -#680 := (not true) -#682 := (iff #680 false) -#320 := [rewrite]: #682 -#681 := (iff #377 #680) -#678 := (iff #376 true) -#338 := (or true false) -#341 := (iff #338 true) -#677 := [rewrite]: #341 -#339 := (iff #376 #338) -#350 := (iff #364 true) -#691 := [rewrite]: #350 -#340 := [monotonicity #691 #675]: #339 -#679 := [trans #340 #677]: #678 -#676 := [monotonicity #679]: #681 -#685 := [trans #676 #320]: #683 -#668 := [monotonicity #685 #393]: #671 -#384 := [trans #668 #382]: #383 -#538 := [monotonicity #384 #642 #536]: #537 -#634 := [trans #538 #540]: #541 -#354 := (iff #372 false) -#690 := [rewrite]: #354 -#622 := [monotonicity #690 #634]: #635 -#615 := [trans #622 #616]: #613 -#689 := (iff #287 false) -#349 := [rewrite]: #689 -#627 := [monotonicity #349 #615]: #626 -#618 := [trans #627 #628]: #617 -#606 := [monotonicity #618]: #605 -#610 := [trans #606 #609]: #605 -#621 := [quant-inst #56 #11]: #614 -#611 := [mp #621 #610]: #620 -[unit-resolution #611 #71 #713]: false -f9ffecc986aee817cb6d5df5a9e4ebfb5694a737 332 0 -unsat +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #12 #75) +#73 := (= #10 #72) +#70 := (= #9 -1::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#77 := [monotonicity #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#68 := [asserted]: #15 +#86 := [mp #68 #83]: #81 +#661 := (not #750) +#662 := (or #661 #78) +#405 := (* -1::Int 3::Int) +#404 := (* -1::Int -1::Int) +#737 := (mod #404 #405) +#738 := (+ #75 #737) +#739 := (= #738 0::Int) +#736 := (mod -1::Int 3::Int) +#393 := (* -1::Int #736) +#523 := (+ #75 #393) +#730 := (= #523 0::Int) +#417 := (<= 3::Int 0::Int) +#416 := (>= -1::Int 0::Int) +#420 := (or #416 #417) +#399 := (not #420) +#406 := (<= -1::Int 0::Int) +#418 := (or #406 #417) +#419 := (not #418) +#734 := (or #419 #399) +#740 := (if #734 #730 #739) +#415 := (= #75 0::Int) +#414 := (= -1::Int 0::Int) +#735 := (if #414 #415 #740) +#413 := (= #75 -1::Int) +#329 := (= 3::Int 0::Int) +#741 := (if #329 #413 #735) +#656 := (or #661 #741) +#647 := (iff #656 #662) +#650 := (iff #662 #662) +#651 := [rewrite]: #650 +#659 := (iff #741 #78) +#667 := (if false #413 #78) +#665 := (iff #667 #78) +#670 := [rewrite]: #665 +#668 := (iff #741 #667) +#655 := (iff #735 #78) +#673 := (if false #415 #78) +#666 := (iff #673 #78) +#658 := [rewrite]: #666 +#677 := (iff #735 #673) +#583 := (iff #740 #78) +#1 := true +#571 := (if true #78 #413) +#581 := (iff #571 #78) +#582 := [rewrite]: #581 +#579 := (iff #740 #571) +#577 := (iff #739 #413) +#566 := (+ 1::Int #75) +#671 := (= #566 0::Int) +#560 := (iff #671 #413) +#575 := [rewrite]: #560 +#672 := (iff #739 #671) +#674 := (= #738 #566) +#680 := (+ #75 1::Int) +#567 := (= #680 #566) +#526 := [rewrite]: #567 +#683 := (= #738 #680) +#681 := (= #737 1::Int) +#692 := -3::Int +#522 := (mod 1::Int -3::Int) +#678 := (= #522 1::Int) +#679 := [rewrite]: #678 +#524 := (= #737 #522) +#686 := (= #405 -3::Int) +#693 := [rewrite]: #686 +#685 := (= #404 1::Int) +#691 := [rewrite]: #685 +#525 := [monotonicity #691 #693]: #524 +#682 := [trans #525 #679]: #681 +#565 := [monotonicity #682]: #683 +#576 := [trans #565 #526]: #674 +#675 := [monotonicity #576]: #672 +#578 := [trans #675 #575]: #577 +#690 := (iff #730 #78) +#707 := -2::Int +#700 := (+ -2::Int #75) +#544 := (= #700 0::Int) +#688 := (iff #544 #78) +#689 := [rewrite]: #688 +#545 := (iff #730 #544) +#702 := (= #523 #700) +#699 := (+ #75 -2::Int) +#701 := (= #699 #700) +#696 := [rewrite]: #701 +#694 := (= #523 #699) +#697 := (= #393 -2::Int) +#706 := (* -1::Int 2::Int) +#704 := (= #706 -2::Int) +#708 := [rewrite]: #704 +#421 := (= #393 #706) +#427 := (= #736 2::Int) +#705 := [rewrite]: #427 +#703 := [monotonicity #705]: #421 +#698 := [trans #703 #708]: #697 +#695 := [monotonicity #698]: #694 +#543 := [trans #695 #696]: #702 +#687 := [monotonicity #543]: #545 +#684 := [trans #687 #689]: #690 +#425 := (iff #734 true) +#709 := (or false true) +#714 := (iff #709 true) +#424 := [rewrite]: #714 +#713 := (iff #734 #709) +#434 := (iff #399 true) +#440 := (not false) +#711 := (iff #440 true) +#712 := [rewrite]: #711 +#441 := (iff #399 #440) +#438 := (iff #420 false) +#728 := (or false false) +#715 := (iff #728 false) +#716 := [rewrite]: #715 +#726 := (iff #420 #728) +#376 := (iff #417 false) +#717 := [rewrite]: #376 +#367 := (iff #416 false) +#368 := [rewrite]: #367 +#729 := [monotonicity #368 #717]: #726 +#439 := [trans #729 #716]: #438 +#335 := [monotonicity #439]: #441 +#435 := [trans #335 #712]: #434 +#725 := (iff #419 false) +#722 := (not true) +#724 := (iff #722 false) +#362 := [rewrite]: #724 +#723 := (iff #419 #722) +#720 := (iff #418 true) +#380 := (or true false) +#383 := (iff #380 true) +#719 := [rewrite]: #383 +#381 := (iff #418 #380) +#392 := (iff #406 true) +#733 := [rewrite]: #392 +#382 := [monotonicity #733 #717]: #381 +#721 := [trans #382 #719]: #720 +#718 := [monotonicity #721]: #723 +#727 := [trans #718 #362]: #725 +#710 := [monotonicity #727 #435]: #713 +#426 := [trans #710 #424]: #425 +#580 := [monotonicity #426 #684 #578]: #579 +#676 := [trans #580 #582]: #583 +#396 := (iff #414 false) +#732 := [rewrite]: #396 +#664 := [monotonicity #732 #676]: #677 +#657 := [trans #664 #658]: #655 +#731 := (iff #329 false) +#391 := [rewrite]: #731 +#669 := [monotonicity #391 #657]: #668 +#660 := [trans #669 #670]: #659 +#648 := [monotonicity #660]: #647 +#652 := [trans #648 #651]: #647 +#663 := [quant-inst #69 #11]: #656 +#653 := [mp #663 #652]: #662 +[unit-resolution #653 #86 #755]: false +unsat +e5eb6ef756ed3738c8596e457b2e9e48f554cfa6 316 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -39543,107 +37019,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#707 := (pattern #38) +#750 := (pattern #38) #12 := 0::Int -#96 := -1::Int -#100 := (* -1::Int #18) -#97 := (* -1::Int #16) -#119 := (mod #97 #100) -#275 := (+ #38 #119) -#276 := (= #275 0::Int) +#83 := -1::Int +#88 := (* -1::Int #18) +#85 := (* -1::Int #16) +#143 := (mod #85 #88) +#258 := (+ #38 #143) +#259 := (= #258 0::Int) #39 := (mod #16 #18) -#272 := (* -1::Int #39) -#273 := (+ #38 #272) -#274 := (= #273 0::Int) -#74 := (<= #18 0::Int) -#166 := (>= #16 0::Int) -#219 := (or #166 #74) -#220 := (not #219) -#70 := (<= #16 0::Int) -#215 := (or #70 #74) -#216 := (not #215) -#223 := (or #216 #220) -#277 := (if #223 #274 #276) -#271 := (= #38 0::Int) +#255 := (* -1::Int #39) +#256 := (+ #38 #255) +#257 := (= #256 0::Int) +#110 := (<= #18 0::Int) +#117 := (>= #16 0::Int) +#202 := (or #117 #110) +#203 := (not #202) +#106 := (<= #16 0::Int) +#200 := (or #106 #110) +#201 := (not #200) +#206 := (or #201 #203) +#260 := (if #206 #257 #259) +#254 := (= #38 0::Int) #20 := (= #16 0::Int) -#278 := (if #20 #271 #277) -#270 := (= #38 #16) +#261 := (if #20 #254 #260) +#253 := (= #38 #16) #21 := (= #18 0::Int) -#279 := (if #21 #270 #278) -#708 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #707) #279) -#282 := (forall (vars (?v0 Int) (?v1 Int)) #279) -#711 := (iff #282 #708) -#709 := (iff #279 #279) -#710 := [refl]: #709 -#712 := [quant-intro #710]: #711 -#125 := (* -1::Int #119) -#239 := (if #223 #39 #125) -#242 := (if #20 0::Int #239) -#245 := (if #21 #16 #242) -#248 := (= #38 #245) -#251 := (forall (vars (?v0 Int) (?v1 Int)) #248) -#283 := (iff #251 #282) -#280 := (iff #248 #279) -#281 := [rewrite]: #280 -#284 := [quant-intro #281]: #283 -#75 := (not #74) -#169 := (not #166) -#172 := (and #169 #75) -#71 := (not #70) -#78 := (and #71 #75) -#175 := (or #78 #172) -#191 := (if #175 #39 #125) -#194 := (if #20 0::Int #191) -#197 := (if #21 #16 #194) -#200 := (= #38 #197) -#203 := (forall (vars (?v0 Int) (?v1 Int)) #200) -#252 := (iff #203 #251) -#249 := (iff #200 #248) -#246 := (= #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#224 := (iff #175 #223) -#221 := (iff #172 #220) -#222 := [rewrite]: #221 -#217 := (iff #78 #216) -#218 := [rewrite]: #217 -#225 := [monotonicity #218 #222]: #224 -#241 := [monotonicity #225]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [quant-intro #250]: #252 -#165 := (~ #203 #203) -#210 := (~ #200 #200) -#164 := [refl]: #210 -#213 := [nnf-pos #164]: #165 -#81 := (<= 0::Int #16) -#82 := (not #81) -#90 := (and #82 #75) -#93 := (or #78 #90) -#130 := (if #93 #39 #125) -#133 := (if #20 0::Int #130) -#136 := (if #21 #16 #133) -#139 := (= #38 #136) -#142 := (forall (vars (?v0 Int) (?v1 Int)) #139) -#204 := (iff #142 #203) -#201 := (iff #139 #200) -#198 := (= #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#176 := (iff #93 #175) -#173 := (iff #90 #172) -#170 := (iff #82 #169) -#167 := (iff #81 #166) -#168 := [rewrite]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#193 := [monotonicity #177]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [monotonicity #199]: #201 -#205 := [quant-intro #202]: #204 +#262 := (if #21 #253 #261) +#751 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #750) #262) +#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) +#754 := (iff #265 #751) +#752 := (iff #262 #262) +#753 := [refl]: #752 +#755 := [quant-intro #753]: #754 +#149 := (* -1::Int #143) +#222 := (if #206 #39 #149) +#225 := (if #20 0::Int #222) +#228 := (if #21 #16 #225) +#231 := (= #38 #228) +#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) +#266 := (iff #234 #265) +#263 := (iff #231 #262) +#264 := [rewrite]: #263 +#267 := [quant-intro #264]: #266 +#111 := (not #110) +#118 := (not #117) +#121 := (and #118 #111) +#107 := (not #106) +#114 := (and #107 #111) +#124 := (or #114 #121) +#169 := (if #124 #39 #149) +#172 := (if #20 0::Int #169) +#175 := (if #21 #16 #172) +#178 := (= #38 #175) +#181 := (forall (vars (?v0 Int) (?v1 Int)) #178) +#235 := (iff #181 #234) +#232 := (iff #178 #231) +#229 := (= #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#207 := (iff #124 #206) +#204 := (iff #121 #203) +#205 := [rewrite]: #204 +#194 := (iff #114 #201) +#195 := [rewrite]: #194 +#208 := [monotonicity #195 #205]: #207 +#224 := [monotonicity #208]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [quant-intro #233]: #235 +#192 := (~ #181 #181) +#191 := (~ #178 #178) +#188 := [refl]: #191 +#193 := [nnf-pos #188]: #192 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -39659,214 +37108,225 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#143 := (iff #46 #142) -#140 := (iff #45 #139) -#137 := (= #44 #136) -#134 := (= #43 #133) -#131 := (= #42 #130) -#128 := (= #41 #125) -#122 := (- #119) -#126 := (= #122 #125) -#127 := [rewrite]: #126 -#123 := (= #41 #122) -#120 := (= #40 #119) -#101 := (= #31 #100) -#102 := [rewrite]: #101 -#98 := (= #30 #97) -#99 := [rewrite]: #98 -#121 := [monotonicity #99 #102]: #120 -#124 := [monotonicity #121]: #123 -#129 := [trans #124 #127]: #128 -#94 := (iff #28 #93) -#91 := (iff #27 #90) -#76 := (iff #24 #75) -#77 := [rewrite]: #76 -#83 := (iff #26 #82) -#87 := (iff #82 #82) -#85 := (iff #81 #81) -#86 := [rewrite]: #85 -#88 := [monotonicity #86]: #87 -#84 := [rewrite]: #83 -#89 := [trans #84 #88]: #83 -#92 := [monotonicity #89 #77]: #91 -#79 := (iff #25 #78) -#72 := (iff #23 #71) -#73 := [rewrite]: #72 -#80 := [monotonicity #73 #77]: #79 -#95 := [monotonicity #80 #92]: #94 -#132 := [monotonicity #95 #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [monotonicity #138]: #140 -#144 := [quant-intro #141]: #143 -#50 := [asserted]: #46 -#145 := [mp #50 #144]: #142 -#206 := [mp #145 #205]: #203 -#214 := [mp~ #206 #213]: #203 -#254 := [mp #214 #253]: #251 -#285 := [mp #254 #284]: #282 -#713 := [mp #285 #712]: #708 +#184 := (iff #46 #181) +#154 := (if #28 #39 #149) +#157 := (if #20 0::Int #154) +#160 := (if #21 #16 #157) +#163 := (= #38 #160) +#166 := (forall (vars (?v0 Int) (?v1 Int)) #163) +#182 := (iff #166 #181) +#179 := (iff #163 #178) +#176 := (= #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#125 := (iff #28 #124) +#122 := (iff #27 #121) +#112 := (iff #24 #111) +#113 := [rewrite]: #112 +#119 := (iff #26 #118) +#120 := [rewrite]: #119 +#123 := [monotonicity #120 #113]: #122 +#115 := (iff #25 #114) +#108 := (iff #23 #107) +#109 := [rewrite]: #108 +#116 := [monotonicity #109 #113]: #115 +#126 := [monotonicity #116 #123]: #125 +#171 := [monotonicity #126]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [monotonicity #177]: #179 +#183 := [quant-intro #180]: #182 +#167 := (iff #46 #166) +#164 := (iff #45 #163) +#161 := (= #44 #160) +#158 := (= #43 #157) +#155 := (= #42 #154) +#152 := (= #41 #149) +#146 := (- #143) +#150 := (= #146 #149) +#151 := [rewrite]: #150 +#147 := (= #41 #146) +#144 := (= #40 #143) +#89 := (= #31 #88) +#90 := [rewrite]: #89 +#86 := (= #30 #85) +#87 := [rewrite]: #86 +#145 := [monotonicity #87 #90]: #144 +#148 := [monotonicity #145]: #147 +#153 := [trans #148 #151]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [monotonicity #162]: #164 +#168 := [quant-intro #165]: #167 +#185 := [trans #168 #183]: #184 +#142 := [asserted]: #46 +#186 := [mp #142 #185]: #181 +#189 := [mp~ #186 #193]: #181 +#237 := [mp #189 #236]: #234 +#268 := [mp #237 #267]: #265 +#756 := [mp #268 #755]: #751 #8 := 3::Int -#54 := -3::Int -#57 := (f4 f5 -3::Int) -#60 := (f3 #57 3::Int) -#63 := (= #60 0::Int) -#66 := (not #63) +#67 := -3::Int +#70 := (f4 f5 -3::Int) +#73 := (f3 #70 3::Int) +#76 := (= #73 0::Int) +#79 := (not #76) #9 := (- 3::Int) #10 := (f4 f5 #9) #11 := (f3 #10 3::Int) #13 := (= #11 0::Int) #14 := (not #13) -#67 := (iff #14 #66) -#64 := (iff #13 #63) -#61 := (= #11 #60) -#58 := (= #10 #57) -#55 := (= #9 -3::Int) -#56 := [rewrite]: #55 -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#68 := [monotonicity #65]: #67 -#48 := [asserted]: #14 -#69 := [mp #48 #68]: #66 -#539 := (not #708) -#540 := (or #539 #63) -#362 := (* -1::Int 3::Int) -#688 := (* -1::Int -3::Int) -#363 := (mod #688 #362) -#695 := (+ #60 #363) -#696 := (= #695 0::Int) -#692 := (mod -3::Int 3::Int) -#694 := (* -1::Int #692) -#351 := (+ #60 #694) -#481 := (= #351 0::Int) -#364 := (<= 3::Int 0::Int) -#377 := (>= -3::Int 0::Int) -#374 := (or #377 #364) -#378 := (not #374) -#373 := (<= -3::Int 0::Int) -#375 := (or #373 #364) -#376 := (not #375) -#357 := (or #376 #378) -#697 := (if #357 #481 #696) -#372 := (= -3::Int 0::Int) -#698 := (if #372 #63 #697) -#371 := (= #60 -3::Int) -#286 := (= 3::Int 0::Int) -#693 := (if #286 #371 #698) -#541 := (or #539 #693) -#631 := (iff #541 #540) -#622 := (iff #540 #540) -#624 := [rewrite]: #622 -#537 := (iff #693 #63) -#518 := (if false #371 #63) -#536 := (iff #518 #63) -#529 := [rewrite]: #536 -#533 := (iff #693 #518) -#630 := (iff #698 #63) -#525 := (if false #63 #63) -#534 := (iff #525 #63) -#629 := [rewrite]: #534 -#484 := (iff #698 #525) -#523 := (iff #697 #63) -#1 := true -#637 := (if true #63 #63) -#638 := (iff #637 #63) -#641 := [rewrite]: #638 -#639 := (iff #697 #637) -#483 := (iff #696 #63) -#480 := (= #695 #60) -#655 := (+ #60 0::Int) -#652 := (= #655 #60) -#653 := [rewrite]: #652 -#644 := (= #695 #655) -#649 := (= #363 0::Int) -#646 := (mod 3::Int -3::Int) -#642 := (= #646 0::Int) -#643 := [rewrite]: #642 -#647 := (= #363 #646) -#503 := (= #362 -3::Int) -#645 := [rewrite]: #503 -#501 := (= #688 3::Int) -#502 := [rewrite]: #501 -#648 := [monotonicity #502 #645]: #647 -#650 := [trans #648 #643]: #649 -#651 := [monotonicity #650]: #644 -#482 := [trans #651 #653]: #480 -#636 := [monotonicity #482]: #483 -#654 := (iff #481 #63) -#658 := (= #351 #60) -#656 := (= #351 #655) -#662 := (= #694 0::Int) -#663 := (* -1::Int 0::Int) -#661 := (= #663 0::Int) -#665 := [rewrite]: #661 -#664 := (= #694 #663) -#384 := (= #692 0::Int) -#385 := [rewrite]: #384 -#379 := [monotonicity #385]: #664 -#666 := [trans #379 #665]: #662 -#657 := [monotonicity #666]: #656 -#659 := [trans #657 #653]: #658 -#660 := [monotonicity #659]: #654 -#382 := (iff #357 true) -#393 := (or false true) -#668 := (iff #393 true) -#672 := [rewrite]: #668 -#667 := (iff #357 #393) -#670 := (iff #378 true) -#397 := (not false) -#292 := (iff #397 true) -#669 := [rewrite]: #292 -#398 := (iff #378 #397) -#674 := (iff #374 false) -#326 := (or false false) -#687 := (iff #326 false) -#673 := [rewrite]: #687 -#686 := (iff #374 #326) -#691 := (iff #364 false) -#334 := [rewrite]: #691 -#685 := (iff #377 false) -#325 := [rewrite]: #685 -#684 := [monotonicity #325 #334]: #686 -#396 := [trans #684 #673]: #674 -#399 := [monotonicity #396]: #398 -#392 := [trans #399 #669]: #670 -#320 := (iff #376 false) -#679 := (not true) -#676 := (iff #679 false) -#682 := [rewrite]: #676 -#680 := (iff #376 #679) -#677 := (iff #375 true) -#675 := (or true false) -#340 := (iff #675 true) -#341 := [rewrite]: #340 -#338 := (iff #375 #675) -#690 := (iff #373 true) -#350 := [rewrite]: #690 -#339 := [monotonicity #350 #334]: #338 -#678 := [trans #339 #341]: #677 -#681 := [monotonicity #678]: #680 -#683 := [trans #681 #682]: #320 -#671 := [monotonicity #683 #392]: #667 -#383 := [trans #671 #672]: #382 -#640 := [monotonicity #383 #660 #636]: #639 -#524 := [trans #640 #641]: #523 -#349 := (iff #372 false) -#354 := [rewrite]: #349 -#632 := [monotonicity #354 #524]: #484 -#633 := [trans #632 #629]: #630 -#699 := (iff #286 false) -#689 := [rewrite]: #699 -#535 := [monotonicity #689 #633]: #533 -#538 := [trans #535 #529]: #537 -#635 := [monotonicity #538]: #631 -#616 := [trans #635 #624]: #631 -#634 := [quant-inst #54 #8]: #541 -#613 := [mp #634 #616]: #540 -[unit-resolution #613 #69 #713]: false -3568b4797a3dd6439c3992352594a4fe4c338953 354 0 -unsat +#80 := (iff #14 #79) +#77 := (iff #13 #76) +#74 := (= #11 #73) +#71 := (= #10 #70) +#68 := (= #9 -3::Int) +#69 := [rewrite]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#81 := [monotonicity #78]: #80 +#66 := [asserted]: #14 +#84 := [mp #66 #81]: #79 +#582 := (not #751) +#583 := (or #582 #76) +#405 := (* -1::Int 3::Int) +#731 := (* -1::Int -3::Int) +#406 := (mod #731 #405) +#738 := (+ #73 #406) +#739 := (= #738 0::Int) +#735 := (mod -3::Int 3::Int) +#737 := (* -1::Int #735) +#394 := (+ #73 #737) +#524 := (= #394 0::Int) +#407 := (<= 3::Int 0::Int) +#420 := (>= -3::Int 0::Int) +#417 := (or #420 #407) +#421 := (not #417) +#416 := (<= -3::Int 0::Int) +#418 := (or #416 #407) +#419 := (not #418) +#400 := (or #419 #421) +#740 := (if #400 #524 #739) +#415 := (= -3::Int 0::Int) +#741 := (if #415 #76 #740) +#414 := (= #73 -3::Int) +#330 := (= 3::Int 0::Int) +#736 := (if #330 #414 #741) +#584 := (or #582 #736) +#674 := (iff #584 #583) +#665 := (iff #583 #583) +#667 := [rewrite]: #665 +#580 := (iff #736 #76) +#561 := (if false #414 #76) +#579 := (iff #561 #76) +#572 := [rewrite]: #579 +#576 := (iff #736 #561) +#673 := (iff #741 #76) +#568 := (if false #76 #76) +#577 := (iff #568 #76) +#672 := [rewrite]: #577 +#527 := (iff #741 #568) +#566 := (iff #740 #76) +#1 := true +#680 := (if true #76 #76) +#681 := (iff #680 #76) +#684 := [rewrite]: #681 +#682 := (iff #740 #680) +#526 := (iff #739 #76) +#523 := (= #738 #73) +#698 := (+ #73 0::Int) +#695 := (= #698 #73) +#696 := [rewrite]: #695 +#687 := (= #738 #698) +#692 := (= #406 0::Int) +#689 := (mod 3::Int -3::Int) +#685 := (= #689 0::Int) +#686 := [rewrite]: #685 +#690 := (= #406 #689) +#546 := (= #405 -3::Int) +#688 := [rewrite]: #546 +#544 := (= #731 3::Int) +#545 := [rewrite]: #544 +#691 := [monotonicity #545 #688]: #690 +#693 := [trans #691 #686]: #692 +#694 := [monotonicity #693]: #687 +#525 := [trans #694 #696]: #523 +#679 := [monotonicity #525]: #526 +#697 := (iff #524 #76) +#701 := (= #394 #73) +#699 := (= #394 #698) +#705 := (= #737 0::Int) +#706 := (* -1::Int 0::Int) +#704 := (= #706 0::Int) +#708 := [rewrite]: #704 +#707 := (= #737 #706) +#427 := (= #735 0::Int) +#428 := [rewrite]: #427 +#422 := [monotonicity #428]: #707 +#709 := [trans #422 #708]: #705 +#700 := [monotonicity #709]: #699 +#702 := [trans #700 #696]: #701 +#703 := [monotonicity #702]: #697 +#425 := (iff #400 true) +#436 := (or false true) +#711 := (iff #436 true) +#715 := [rewrite]: #711 +#710 := (iff #400 #436) +#713 := (iff #421 true) +#440 := (not false) +#336 := (iff #440 true) +#712 := [rewrite]: #336 +#441 := (iff #421 #440) +#717 := (iff #417 false) +#369 := (or false false) +#730 := (iff #369 false) +#716 := [rewrite]: #730 +#729 := (iff #417 #369) +#734 := (iff #407 false) +#377 := [rewrite]: #734 +#728 := (iff #420 false) +#368 := [rewrite]: #728 +#727 := [monotonicity #368 #377]: #729 +#439 := [trans #727 #716]: #717 +#442 := [monotonicity #439]: #441 +#435 := [trans #442 #712]: #713 +#363 := (iff #419 false) +#722 := (not true) +#719 := (iff #722 false) +#725 := [rewrite]: #719 +#723 := (iff #419 #722) +#720 := (iff #418 true) +#718 := (or true false) +#383 := (iff #718 true) +#384 := [rewrite]: #383 +#381 := (iff #418 #718) +#733 := (iff #416 true) +#393 := [rewrite]: #733 +#382 := [monotonicity #393 #377]: #381 +#721 := [trans #382 #384]: #720 +#724 := [monotonicity #721]: #723 +#726 := [trans #724 #725]: #363 +#714 := [monotonicity #726 #435]: #710 +#426 := [trans #714 #715]: #425 +#683 := [monotonicity #426 #703 #679]: #682 +#567 := [trans #683 #684]: #566 +#392 := (iff #415 false) +#397 := [rewrite]: #392 +#675 := [monotonicity #397 #567]: #527 +#676 := [trans #675 #672]: #673 +#742 := (iff #330 false) +#732 := [rewrite]: #742 +#578 := [monotonicity #732 #676]: #576 +#581 := [trans #578 #572]: #580 +#678 := [monotonicity #581]: #674 +#659 := [trans #678 #667]: #674 +#677 := [quant-inst #67 #8]: #584 +#656 := [mp #677 #659]: #583 +[unit-resolution #656 #84 #756]: false +unsat +2c8de94340a3f1759be7a084199a7b69b2a47b6e 338 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -39876,107 +37336,80 @@ #7 := f5 #39 := (f4 f5 #17) #40 := (f3 #39 #19) -#708 := (pattern #40) +#750 := (pattern #40) #21 := 0::Int -#98 := -1::Int -#102 := (* -1::Int #19) -#99 := (* -1::Int #17) -#121 := (mod #99 #102) -#277 := (+ #40 #121) -#278 := (= #277 0::Int) +#85 := -1::Int +#90 := (* -1::Int #19) +#87 := (* -1::Int #17) +#145 := (mod #87 #90) +#260 := (+ #40 #145) +#261 := (= #260 0::Int) #41 := (mod #17 #19) -#274 := (* -1::Int #41) -#275 := (+ #40 #274) -#276 := (= #275 0::Int) -#76 := (<= #19 0::Int) -#168 := (>= #17 0::Int) -#221 := (or #168 #76) -#222 := (not #221) -#72 := (<= #17 0::Int) -#217 := (or #72 #76) -#218 := (not #217) -#225 := (or #218 #222) -#279 := (if #225 #276 #278) -#273 := (= #40 0::Int) +#257 := (* -1::Int #41) +#258 := (+ #40 #257) +#259 := (= #258 0::Int) +#112 := (<= #19 0::Int) +#119 := (>= #17 0::Int) +#204 := (or #119 #112) +#205 := (not #204) +#108 := (<= #17 0::Int) +#202 := (or #108 #112) +#203 := (not #202) +#208 := (or #203 #205) +#262 := (if #208 #259 #261) +#256 := (= #40 0::Int) #22 := (= #17 0::Int) -#280 := (if #22 #273 #279) -#272 := (= #40 #17) +#263 := (if #22 #256 #262) +#255 := (= #40 #17) #23 := (= #19 0::Int) -#281 := (if #23 #272 #280) -#709 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #708) #281) -#284 := (forall (vars (?v0 Int) (?v1 Int)) #281) -#712 := (iff #284 #709) -#710 := (iff #281 #281) -#711 := [refl]: #710 -#713 := [quant-intro #711]: #712 -#127 := (* -1::Int #121) -#241 := (if #225 #41 #127) -#244 := (if #22 0::Int #241) -#247 := (if #23 #17 #244) -#250 := (= #40 #247) -#253 := (forall (vars (?v0 Int) (?v1 Int)) #250) -#285 := (iff #253 #284) -#282 := (iff #250 #281) -#283 := [rewrite]: #282 -#286 := [quant-intro #283]: #285 -#77 := (not #76) -#171 := (not #168) -#174 := (and #171 #77) -#73 := (not #72) -#80 := (and #73 #77) -#177 := (or #80 #174) -#193 := (if #177 #41 #127) -#196 := (if #22 0::Int #193) -#199 := (if #23 #17 #196) -#202 := (= #40 #199) -#205 := (forall (vars (?v0 Int) (?v1 Int)) #202) -#254 := (iff #205 #253) -#251 := (iff #202 #250) -#248 := (= #199 #247) -#245 := (= #196 #244) -#242 := (= #193 #241) -#226 := (iff #177 #225) -#223 := (iff #174 #222) -#224 := [rewrite]: #223 -#219 := (iff #80 #218) -#220 := [rewrite]: #219 -#227 := [monotonicity #220 #224]: #226 -#243 := [monotonicity #227]: #242 -#246 := [monotonicity #243]: #245 -#249 := [monotonicity #246]: #248 -#252 := [monotonicity #249]: #251 -#255 := [quant-intro #252]: #254 -#214 := (~ #205 #205) -#210 := (~ #202 #202) -#213 := [refl]: #210 -#215 := [nnf-pos #213]: #214 -#83 := (<= 0::Int #17) -#84 := (not #83) -#92 := (and #84 #77) -#95 := (or #80 #92) -#132 := (if #95 #41 #127) -#135 := (if #22 0::Int #132) -#138 := (if #23 #17 #135) -#141 := (= #40 #138) -#144 := (forall (vars (?v0 Int) (?v1 Int)) #141) -#206 := (iff #144 #205) -#203 := (iff #141 #202) -#200 := (= #138 #199) -#197 := (= #135 #196) -#194 := (= #132 #193) -#178 := (iff #95 #177) -#175 := (iff #92 #174) -#172 := (iff #84 #171) -#169 := (iff #83 #168) -#170 := [rewrite]: #169 -#173 := [monotonicity #170]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#195 := [monotonicity #179]: #194 -#198 := [monotonicity #195]: #197 -#201 := [monotonicity #198]: #200 -#204 := [monotonicity #201]: #203 -#207 := [quant-intro #204]: #206 +#264 := (if #23 #255 #263) +#751 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #750) #264) +#267 := (forall (vars (?v0 Int) (?v1 Int)) #264) +#754 := (iff #267 #751) +#752 := (iff #264 #264) +#753 := [refl]: #752 +#755 := [quant-intro #753]: #754 +#151 := (* -1::Int #145) +#224 := (if #208 #41 #151) +#227 := (if #22 0::Int #224) +#230 := (if #23 #17 #227) +#233 := (= #40 #230) +#236 := (forall (vars (?v0 Int) (?v1 Int)) #233) +#268 := (iff #236 #267) +#265 := (iff #233 #264) +#266 := [rewrite]: #265 +#269 := [quant-intro #266]: #268 +#113 := (not #112) +#120 := (not #119) +#123 := (and #120 #113) +#109 := (not #108) +#116 := (and #109 #113) +#126 := (or #116 #123) +#171 := (if #126 #41 #151) +#174 := (if #22 0::Int #171) +#177 := (if #23 #17 #174) +#180 := (= #40 #177) +#183 := (forall (vars (?v0 Int) (?v1 Int)) #180) +#237 := (iff #183 #236) +#234 := (iff #180 #233) +#231 := (= #177 #230) +#228 := (= #174 #227) +#225 := (= #171 #224) +#209 := (iff #126 #208) +#206 := (iff #123 #205) +#207 := [rewrite]: #206 +#196 := (iff #116 #203) +#197 := [rewrite]: #196 +#210 := [monotonicity #197 #207]: #209 +#226 := [monotonicity #210]: #225 +#229 := [monotonicity #226]: #228 +#232 := [monotonicity #229]: #231 +#235 := [monotonicity #232]: #234 +#238 := [quant-intro #235]: #237 +#194 := (~ #183 #183) +#193 := (~ #180 #180) +#190 := [refl]: #193 +#195 := [nnf-pos #190]: #194 #33 := (- #19) #32 := (- #17) #42 := (mod #32 #33) @@ -39992,236 +37425,247 @@ #46 := (if #23 #17 #45) #47 := (= #40 #46) #48 := (forall (vars (?v0 Int) (?v1 Int)) #47) -#145 := (iff #48 #144) -#142 := (iff #47 #141) -#139 := (= #46 #138) -#136 := (= #45 #135) -#133 := (= #44 #132) -#130 := (= #43 #127) -#124 := (- #121) -#128 := (= #124 #127) -#129 := [rewrite]: #128 -#125 := (= #43 #124) -#122 := (= #42 #121) -#103 := (= #33 #102) -#104 := [rewrite]: #103 -#100 := (= #32 #99) -#101 := [rewrite]: #100 -#123 := [monotonicity #101 #104]: #122 -#126 := [monotonicity #123]: #125 -#131 := [trans #126 #129]: #130 -#96 := (iff #30 #95) -#93 := (iff #29 #92) -#78 := (iff #26 #77) -#79 := [rewrite]: #78 -#85 := (iff #28 #84) -#89 := (iff #84 #84) -#87 := (iff #83 #83) -#88 := [rewrite]: #87 -#90 := [monotonicity #88]: #89 -#86 := [rewrite]: #85 -#91 := [trans #86 #90]: #85 -#94 := [monotonicity #91 #79]: #93 -#81 := (iff #27 #80) -#74 := (iff #25 #73) -#75 := [rewrite]: #74 -#82 := [monotonicity #75 #79]: #81 -#97 := [monotonicity #82 #94]: #96 -#134 := [monotonicity #97 #131]: #133 -#137 := [monotonicity #134]: #136 -#140 := [monotonicity #137]: #139 -#143 := [monotonicity #140]: #142 -#146 := [quant-intro #143]: #145 -#52 := [asserted]: #48 -#147 := [mp #52 #146]: #144 -#208 := [mp #147 #207]: #205 -#216 := [mp~ #208 #215]: #205 -#256 := [mp #216 #255]: #253 -#287 := [mp #256 #286]: #284 -#714 := [mp #287 #713]: #709 +#186 := (iff #48 #183) +#156 := (if #30 #41 #151) +#159 := (if #22 0::Int #156) +#162 := (if #23 #17 #159) +#165 := (= #40 #162) +#168 := (forall (vars (?v0 Int) (?v1 Int)) #165) +#184 := (iff #168 #183) +#181 := (iff #165 #180) +#178 := (= #162 #177) +#175 := (= #159 #174) +#172 := (= #156 #171) +#127 := (iff #30 #126) +#124 := (iff #29 #123) +#114 := (iff #26 #113) +#115 := [rewrite]: #114 +#121 := (iff #28 #120) +#122 := [rewrite]: #121 +#125 := [monotonicity #122 #115]: #124 +#117 := (iff #27 #116) +#110 := (iff #25 #109) +#111 := [rewrite]: #110 +#118 := [monotonicity #111 #115]: #117 +#128 := [monotonicity #118 #125]: #127 +#173 := [monotonicity #128]: #172 +#176 := [monotonicity #173]: #175 +#179 := [monotonicity #176]: #178 +#182 := [monotonicity #179]: #181 +#185 := [quant-intro #182]: #184 +#169 := (iff #48 #168) +#166 := (iff #47 #165) +#163 := (= #46 #162) +#160 := (= #45 #159) +#157 := (= #44 #156) +#154 := (= #43 #151) +#148 := (- #145) +#152 := (= #148 #151) +#153 := [rewrite]: #152 +#149 := (= #43 #148) +#146 := (= #42 #145) +#91 := (= #33 #90) +#92 := [rewrite]: #91 +#88 := (= #32 #87) +#89 := [rewrite]: #88 +#147 := [monotonicity #89 #92]: #146 +#150 := [monotonicity #147]: #149 +#155 := [trans #150 #153]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [monotonicity #161]: #163 +#167 := [monotonicity #164]: #166 +#170 := [quant-intro #167]: #169 +#187 := [trans #170 #185]: #186 +#144 := [asserted]: #48 +#188 := [mp #144 #187]: #183 +#191 := [mp~ #188 #195]: #183 +#239 := [mp #191 #238]: #236 +#270 := [mp #239 #269]: #267 +#756 := [mp #270 #755]: #751 #13 := 1::Int #11 := 3::Int -#56 := -5::Int -#59 := (f4 f5 -5::Int) -#62 := (f3 #59 3::Int) -#65 := (= #62 1::Int) -#68 := (not #65) +#69 := -5::Int +#72 := (f4 f5 -5::Int) +#75 := (f3 #72 3::Int) +#78 := (= #75 1::Int) +#81 := (not #78) #8 := 5::Int #9 := (- 5::Int) #10 := (f4 f5 #9) #12 := (f3 #10 3::Int) #14 := (= #12 1::Int) #15 := (not #14) -#69 := (iff #15 #68) -#66 := (iff #14 #65) -#63 := (= #12 #62) -#60 := (= #10 #59) -#57 := (= #9 -5::Int) -#58 := [rewrite]: #57 -#61 := [monotonicity #58]: #60 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#70 := [monotonicity #67]: #69 -#50 := [asserted]: #15 -#71 := [mp #50 #70]: #68 -#615 := (not #709) -#622 := (or #615 #65) -#364 := (* -1::Int 3::Int) -#363 := (* -1::Int -5::Int) -#696 := (mod #363 #364) -#697 := (+ #62 #696) -#698 := (= #697 0::Int) -#695 := (mod -5::Int 3::Int) -#352 := (* -1::Int #695) -#482 := (+ #62 #352) -#689 := (= #482 0::Int) -#376 := (<= 3::Int 0::Int) -#375 := (>= -5::Int 0::Int) -#379 := (or #375 #376) -#358 := (not #379) -#365 := (<= -5::Int 0::Int) -#377 := (or #365 #376) -#378 := (not #377) -#693 := (or #378 #358) -#699 := (if #693 #689 #698) -#374 := (= #62 0::Int) -#373 := (= -5::Int 0::Int) -#694 := (if #373 #374 #699) -#372 := (= #62 -5::Int) -#288 := (= 3::Int 0::Int) -#700 := (if #288 #372 #694) -#606 := (or #615 #700) -#609 := (iff #606 #622) -#611 := (iff #622 #622) -#612 := [rewrite]: #611 -#620 := (iff #700 #65) -#628 := (if false #372 #65) -#618 := (iff #628 #65) -#619 := [rewrite]: #618 -#624 := (iff #700 #628) -#626 := (iff #694 #65) -#623 := (if false #374 #65) -#614 := (iff #623 #65) -#616 := [rewrite]: #614 -#625 := (iff #694 #623) -#632 := (iff #699 #65) -#519 := -2::Int -#534 := (= #62 -2::Int) -#1 := true -#539 := (if true #65 #534) -#542 := (iff #539 #65) -#635 := [rewrite]: #542 -#540 := (iff #699 #539) -#530 := (iff #698 #534) -#484 := 2::Int -#525 := (+ 2::Int #62) -#630 := (= #525 0::Int) -#536 := (iff #630 #534) -#537 := [rewrite]: #536 -#631 := (iff #698 #630) -#633 := (= #697 #525) -#639 := (+ #62 2::Int) -#526 := (= #639 #525) -#485 := [rewrite]: #526 -#642 := (= #697 #639) -#640 := (= #696 2::Int) -#650 := -3::Int -#652 := (mod 5::Int -3::Int) -#637 := (= #652 2::Int) -#638 := [rewrite]: #637 -#481 := (= #696 #652) -#651 := (= #364 -3::Int) -#645 := [rewrite]: #651 -#643 := (= #363 5::Int) -#644 := [rewrite]: #643 -#483 := [monotonicity #644 #645]: #481 -#641 := [trans #483 #638]: #640 -#524 := [monotonicity #641]: #642 -#535 := [trans #524 #485]: #633 -#634 := [monotonicity #535]: #631 -#538 := [trans #634 #537]: #530 -#648 := (iff #689 #65) -#654 := (+ -1::Int #62) -#502 := (= #654 0::Int) -#646 := (iff #502 #65) -#647 := [rewrite]: #646 -#503 := (iff #689 #502) -#655 := (= #482 #654) -#657 := (+ #62 -1::Int) -#659 := (= #657 #654) -#660 := [rewrite]: #659 -#658 := (= #482 #657) -#667 := (= #352 -1::Int) -#665 := (* -1::Int 1::Int) -#666 := (= #665 -1::Int) -#663 := [rewrite]: #666 -#380 := (= #352 #665) -#386 := (= #695 1::Int) -#664 := [rewrite]: #386 -#662 := [monotonicity #664]: #380 -#656 := [trans #662 #663]: #667 -#653 := [monotonicity #656]: #658 -#661 := [trans #653 #660]: #655 -#504 := [monotonicity #661]: #503 -#649 := [trans #504 #647]: #648 -#384 := (iff #693 true) -#668 := (or false true) -#673 := (iff #668 true) -#383 := [rewrite]: #673 -#672 := (iff #693 #668) -#393 := (iff #358 true) -#399 := (not false) -#670 := (iff #399 true) -#671 := [rewrite]: #670 -#400 := (iff #358 #399) -#397 := (iff #379 false) -#687 := (or false false) -#674 := (iff #687 false) -#675 := [rewrite]: #674 -#685 := (iff #379 #687) -#335 := (iff #376 false) -#676 := [rewrite]: #335 -#326 := (iff #375 false) -#327 := [rewrite]: #326 -#688 := [monotonicity #327 #676]: #685 -#398 := [trans #688 #675]: #397 -#294 := [monotonicity #398]: #400 -#394 := [trans #294 #671]: #393 -#684 := (iff #378 false) -#681 := (not true) -#683 := (iff #681 false) -#321 := [rewrite]: #683 -#682 := (iff #378 #681) -#679 := (iff #377 true) -#339 := (or true false) -#342 := (iff #339 true) -#678 := [rewrite]: #342 -#340 := (iff #377 #339) -#351 := (iff #365 true) -#692 := [rewrite]: #351 -#341 := [monotonicity #692 #676]: #340 -#680 := [trans #341 #678]: #679 -#677 := [monotonicity #680]: #682 -#686 := [trans #677 #321]: #684 -#669 := [monotonicity #686 #394]: #672 -#385 := [trans #669 #383]: #384 -#541 := [monotonicity #385 #649 #538]: #540 -#636 := [trans #541 #635]: #632 -#355 := (iff #373 false) -#691 := [rewrite]: #355 -#617 := [monotonicity #691 #636]: #625 -#627 := [trans #617 #616]: #626 -#690 := (iff #288 false) -#350 := [rewrite]: #690 -#629 := [monotonicity #350 #627]: #624 -#621 := [trans #629 #619]: #620 -#610 := [monotonicity #621]: #609 -#608 := [trans #610 #612]: #609 -#607 := [quant-inst #56 #11]: #606 -#613 := [mp #607 #608]: #622 -[unit-resolution #613 #71 #714]: false -e74a02aac7e3907e33f4c582e7dc7fb7e61206b6 351 0 -unsat +#82 := (iff #15 #81) +#79 := (iff #14 #78) +#76 := (= #12 #75) +#73 := (= #10 #72) +#70 := (= #9 -5::Int) +#71 := [rewrite]: #70 +#74 := [monotonicity #71]: #73 +#77 := [monotonicity #74]: #76 +#80 := [monotonicity #77]: #79 +#83 := [monotonicity #80]: #82 +#68 := [asserted]: #15 +#86 := [mp #68 #83]: #81 +#663 := (not #751) +#657 := (or #663 #78) +#406 := (* -1::Int 3::Int) +#405 := (* -1::Int -5::Int) +#738 := (mod #405 #406) +#739 := (+ #75 #738) +#740 := (= #739 0::Int) +#737 := (mod -5::Int 3::Int) +#394 := (* -1::Int #737) +#524 := (+ #75 #394) +#731 := (= #524 0::Int) +#418 := (<= 3::Int 0::Int) +#417 := (>= -5::Int 0::Int) +#421 := (or #417 #418) +#400 := (not #421) +#407 := (<= -5::Int 0::Int) +#419 := (or #407 #418) +#420 := (not #419) +#735 := (or #420 #400) +#741 := (if #735 #731 #740) +#416 := (= #75 0::Int) +#415 := (= -5::Int 0::Int) +#736 := (if #415 #416 #741) +#414 := (= #75 -5::Int) +#330 := (= 3::Int 0::Int) +#742 := (if #330 #414 #736) +#664 := (or #663 #742) +#649 := (iff #664 #657) +#652 := (iff #657 #657) +#653 := [rewrite]: #652 +#661 := (iff #742 #78) +#669 := (if false #414 #78) +#671 := (iff #669 #78) +#660 := [rewrite]: #671 +#670 := (iff #742 #669) +#658 := (iff #736 #78) +#678 := (if false #416 #78) +#659 := (iff #678 #78) +#656 := [rewrite]: #659 +#665 := (iff #736 #678) +#677 := (iff #741 #78) +#676 := -2::Int +#561 := (= #75 -2::Int) +#1 := true +#580 := (if true #78 #561) +#583 := (iff #580 #78) +#584 := [rewrite]: #583 +#581 := (iff #741 #580) +#579 := (iff #740 #561) +#291 := 2::Int +#566 := (+ 2::Int #75) +#577 := (= #566 0::Int) +#576 := (iff #577 #561) +#578 := [rewrite]: #576 +#672 := (iff #740 #577) +#527 := (= #739 #566) +#683 := (+ #75 2::Int) +#567 := (= #683 #566) +#568 := [rewrite]: #567 +#681 := (= #739 #683) +#680 := (= #738 2::Int) +#692 := -3::Int +#694 := (mod 5::Int -3::Int) +#526 := (= #694 2::Int) +#679 := [rewrite]: #526 +#523 := (= #738 #694) +#693 := (= #406 -3::Int) +#687 := [rewrite]: #693 +#685 := (= #405 5::Int) +#686 := [rewrite]: #685 +#525 := [monotonicity #686 #687]: #523 +#682 := [trans #525 #679]: #680 +#684 := [monotonicity #682]: #681 +#675 := [trans #684 #568]: #527 +#673 := [monotonicity #675]: #672 +#572 := [trans #673 #578]: #579 +#690 := (iff #731 #78) +#696 := (+ -1::Int #75) +#544 := (= #696 0::Int) +#688 := (iff #544 #78) +#689 := [rewrite]: #688 +#545 := (iff #731 #544) +#697 := (= #524 #696) +#699 := (+ #75 -1::Int) +#701 := (= #699 #696) +#702 := [rewrite]: #701 +#700 := (= #524 #699) +#709 := (= #394 -1::Int) +#707 := (* -1::Int 1::Int) +#708 := (= #707 -1::Int) +#705 := [rewrite]: #708 +#422 := (= #394 #707) +#428 := (= #737 1::Int) +#706 := [rewrite]: #428 +#704 := [monotonicity #706]: #422 +#698 := [trans #704 #705]: #709 +#695 := [monotonicity #698]: #700 +#703 := [trans #695 #702]: #697 +#546 := [monotonicity #703]: #545 +#691 := [trans #546 #689]: #690 +#426 := (iff #735 true) +#710 := (or false true) +#715 := (iff #710 true) +#425 := [rewrite]: #715 +#714 := (iff #735 #710) +#435 := (iff #400 true) +#441 := (not false) +#712 := (iff #441 true) +#713 := [rewrite]: #712 +#442 := (iff #400 #441) +#439 := (iff #421 false) +#729 := (or false false) +#716 := (iff #729 false) +#717 := [rewrite]: #716 +#727 := (iff #421 #729) +#377 := (iff #418 false) +#718 := [rewrite]: #377 +#368 := (iff #417 false) +#369 := [rewrite]: #368 +#730 := [monotonicity #369 #718]: #727 +#440 := [trans #730 #717]: #439 +#336 := [monotonicity #440]: #442 +#436 := [trans #336 #713]: #435 +#726 := (iff #420 false) +#723 := (not true) +#725 := (iff #723 false) +#363 := [rewrite]: #725 +#724 := (iff #420 #723) +#721 := (iff #419 true) +#381 := (or true false) +#384 := (iff #381 true) +#720 := [rewrite]: #384 +#382 := (iff #419 #381) +#393 := (iff #407 true) +#734 := [rewrite]: #393 +#383 := [monotonicity #734 #718]: #382 +#722 := [trans #383 #720]: #721 +#719 := [monotonicity #722]: #724 +#728 := [trans #719 #363]: #726 +#711 := [monotonicity #728 #436]: #714 +#427 := [trans #711 #425]: #426 +#582 := [monotonicity #427 #691 #572]: #581 +#674 := [trans #582 #584]: #677 +#397 := (iff #415 false) +#733 := [rewrite]: #397 +#667 := [monotonicity #733 #674]: #665 +#668 := [trans #667 #656]: #658 +#732 := (iff #330 false) +#392 := [rewrite]: #732 +#666 := [monotonicity #392 #668]: #670 +#662 := [trans #666 #660]: #661 +#651 := [monotonicity #662]: #649 +#654 := [trans #651 #653]: #649 +#648 := [quant-inst #69 #11]: #664 +#650 := [mp #648 #654]: #657 +[unit-resolution #650 #86 #756]: false +unsat +8ff94171ae81c6acb1105939644d44501cb6f57a 335 0 #2 := false decl f3 :: (-> S2 Int Int) #19 := (:var 0 Int) @@ -40231,107 +37675,80 @@ #7 := f5 #39 := (f4 f5 #17) #40 := (f3 #39 #19) -#710 := (pattern #40) +#753 := (pattern #40) #21 := 0::Int -#56 := -1::Int -#104 := (* -1::Int #19) -#101 := (* -1::Int #17) -#123 := (mod #101 #104) -#279 := (+ #40 #123) -#280 := (= #279 0::Int) +#69 := -1::Int +#92 := (* -1::Int #19) +#88 := (* -1::Int #17) +#147 := (mod #88 #92) +#262 := (+ #40 #147) +#263 := (= #262 0::Int) #41 := (mod #17 #19) -#276 := (* -1::Int #41) -#277 := (+ #40 #276) -#278 := (= #277 0::Int) -#79 := (<= #19 0::Int) -#170 := (>= #17 0::Int) -#223 := (or #170 #79) -#224 := (not #223) -#75 := (<= #17 0::Int) -#219 := (or #75 #79) -#220 := (not #219) -#227 := (or #220 #224) -#281 := (if #227 #278 #280) -#275 := (= #40 0::Int) +#259 := (* -1::Int #41) +#260 := (+ #40 #259) +#261 := (= #260 0::Int) +#114 := (<= #19 0::Int) +#121 := (>= #17 0::Int) +#206 := (or #121 #114) +#207 := (not #206) +#110 := (<= #17 0::Int) +#204 := (or #110 #114) +#205 := (not #204) +#210 := (or #205 #207) +#264 := (if #210 #261 #263) +#258 := (= #40 0::Int) #22 := (= #17 0::Int) -#282 := (if #22 #275 #281) -#274 := (= #40 #17) +#265 := (if #22 #258 #264) +#257 := (= #40 #17) #23 := (= #19 0::Int) -#283 := (if #23 #274 #282) -#711 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #710) #283) -#286 := (forall (vars (?v0 Int) (?v1 Int)) #283) -#714 := (iff #286 #711) -#712 := (iff #283 #283) -#713 := [refl]: #712 -#715 := [quant-intro #713]: #714 -#129 := (* -1::Int #123) -#243 := (if #227 #41 #129) -#246 := (if #22 0::Int #243) -#249 := (if #23 #17 #246) -#252 := (= #40 #249) -#255 := (forall (vars (?v0 Int) (?v1 Int)) #252) -#287 := (iff #255 #286) -#284 := (iff #252 #283) -#285 := [rewrite]: #284 -#288 := [quant-intro #285]: #287 -#80 := (not #79) -#173 := (not #170) -#176 := (and #173 #80) -#76 := (not #75) -#83 := (and #76 #80) -#179 := (or #83 #176) -#195 := (if #179 #41 #129) -#198 := (if #22 0::Int #195) -#201 := (if #23 #17 #198) -#204 := (= #40 #201) -#207 := (forall (vars (?v0 Int) (?v1 Int)) #204) -#256 := (iff #207 #255) -#253 := (iff #204 #252) -#250 := (= #201 #249) -#247 := (= #198 #246) -#244 := (= #195 #243) -#228 := (iff #179 #227) -#225 := (iff #176 #224) -#226 := [rewrite]: #225 -#221 := (iff #83 #220) -#222 := [rewrite]: #221 -#229 := [monotonicity #222 #226]: #228 -#245 := [monotonicity #229]: #244 -#248 := [monotonicity #245]: #247 -#251 := [monotonicity #248]: #250 -#254 := [monotonicity #251]: #253 -#257 := [quant-intro #254]: #256 -#169 := (~ #207 #207) -#214 := (~ #204 #204) -#168 := [refl]: #214 -#217 := [nnf-pos #168]: #169 -#86 := (<= 0::Int #17) -#87 := (not #86) -#95 := (and #87 #80) -#98 := (or #83 #95) -#134 := (if #98 #41 #129) -#137 := (if #22 0::Int #134) -#140 := (if #23 #17 #137) -#143 := (= #40 #140) -#146 := (forall (vars (?v0 Int) (?v1 Int)) #143) -#208 := (iff #146 #207) -#205 := (iff #143 #204) -#202 := (= #140 #201) -#199 := (= #137 #198) -#196 := (= #134 #195) -#180 := (iff #98 #179) -#177 := (iff #95 #176) -#174 := (iff #87 #173) -#171 := (iff #86 #170) -#172 := [rewrite]: #171 -#175 := [monotonicity #172]: #174 -#178 := [monotonicity #175]: #177 -#181 := [monotonicity #178]: #180 -#197 := [monotonicity #181]: #196 -#200 := [monotonicity #197]: #199 -#203 := [monotonicity #200]: #202 -#206 := [monotonicity #203]: #205 -#209 := [quant-intro #206]: #208 +#266 := (if #23 #257 #265) +#754 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #753) #266) +#269 := (forall (vars (?v0 Int) (?v1 Int)) #266) +#757 := (iff #269 #754) +#755 := (iff #266 #266) +#756 := [refl]: #755 +#758 := [quant-intro #756]: #757 +#153 := (* -1::Int #147) +#226 := (if #210 #41 #153) +#229 := (if #22 0::Int #226) +#232 := (if #23 #17 #229) +#235 := (= #40 #232) +#238 := (forall (vars (?v0 Int) (?v1 Int)) #235) +#270 := (iff #238 #269) +#267 := (iff #235 #266) +#268 := [rewrite]: #267 +#271 := [quant-intro #268]: #270 +#115 := (not #114) +#122 := (not #121) +#125 := (and #122 #115) +#111 := (not #110) +#118 := (and #111 #115) +#128 := (or #118 #125) +#173 := (if #128 #41 #153) +#176 := (if #22 0::Int #173) +#179 := (if #23 #17 #176) +#182 := (= #40 #179) +#185 := (forall (vars (?v0 Int) (?v1 Int)) #182) +#239 := (iff #185 #238) +#236 := (iff #182 #235) +#233 := (= #179 #232) +#230 := (= #176 #229) +#227 := (= #173 #226) +#211 := (iff #128 #210) +#208 := (iff #125 #207) +#209 := [rewrite]: #208 +#198 := (iff #118 #205) +#199 := [rewrite]: #198 +#212 := [monotonicity #199 #209]: #211 +#228 := [monotonicity #212]: #227 +#231 := [monotonicity #228]: #230 +#234 := [monotonicity #231]: #233 +#237 := [monotonicity #234]: #236 +#240 := [quant-intro #237]: #239 +#196 := (~ #185 #185) +#195 := (~ #182 #182) +#192 := [refl]: #195 +#197 := [nnf-pos #192]: #196 #33 := (- #19) #32 := (- #17) #42 := (mod #32 #33) @@ -40347,58 +37764,69 @@ #46 := (if #23 #17 #45) #47 := (= #40 #46) #48 := (forall (vars (?v0 Int) (?v1 Int)) #47) -#147 := (iff #48 #146) -#144 := (iff #47 #143) -#141 := (= #46 #140) -#138 := (= #45 #137) -#135 := (= #44 #134) -#132 := (= #43 #129) -#126 := (- #123) -#130 := (= #126 #129) -#131 := [rewrite]: #130 -#127 := (= #43 #126) -#124 := (= #42 #123) -#105 := (= #33 #104) -#106 := [rewrite]: #105 -#102 := (= #32 #101) -#103 := [rewrite]: #102 -#125 := [monotonicity #103 #106]: #124 -#128 := [monotonicity #125]: #127 -#133 := [trans #128 #131]: #132 -#99 := (iff #30 #98) -#96 := (iff #29 #95) -#81 := (iff #26 #80) -#82 := [rewrite]: #81 -#88 := (iff #28 #87) -#92 := (iff #87 #87) -#90 := (iff #86 #86) +#188 := (iff #48 #185) +#158 := (if #30 #41 #153) +#161 := (if #22 0::Int #158) +#164 := (if #23 #17 #161) +#167 := (= #40 #164) +#170 := (forall (vars (?v0 Int) (?v1 Int)) #167) +#186 := (iff #170 #185) +#183 := (iff #167 #182) +#180 := (= #164 #179) +#177 := (= #161 #176) +#174 := (= #158 #173) +#129 := (iff #30 #128) +#126 := (iff #29 #125) +#116 := (iff #26 #115) +#117 := [rewrite]: #116 +#123 := (iff #28 #122) +#124 := [rewrite]: #123 +#127 := [monotonicity #124 #117]: #126 +#119 := (iff #27 #118) +#112 := (iff #25 #111) +#113 := [rewrite]: #112 +#120 := [monotonicity #113 #117]: #119 +#130 := [monotonicity #120 #127]: #129 +#175 := [monotonicity #130]: #174 +#178 := [monotonicity #175]: #177 +#181 := [monotonicity #178]: #180 +#184 := [monotonicity #181]: #183 +#187 := [quant-intro #184]: #186 +#171 := (iff #48 #170) +#168 := (iff #47 #167) +#165 := (= #46 #164) +#162 := (= #45 #161) +#159 := (= #44 #158) +#156 := (= #43 #153) +#150 := (- #147) +#154 := (= #150 #153) +#155 := [rewrite]: #154 +#151 := (= #43 #150) +#148 := (= #42 #147) +#93 := (= #33 #92) +#94 := [rewrite]: #93 +#90 := (= #32 #88) #91 := [rewrite]: #90 -#93 := [monotonicity #91]: #92 -#89 := [rewrite]: #88 -#94 := [trans #89 #93]: #88 -#97 := [monotonicity #94 #82]: #96 -#84 := (iff #27 #83) -#77 := (iff #25 #76) -#78 := [rewrite]: #77 -#85 := [monotonicity #78 #82]: #84 -#100 := [monotonicity #85 #97]: #99 -#136 := [monotonicity #100 #133]: #135 -#139 := [monotonicity #136]: #138 -#142 := [monotonicity #139]: #141 -#145 := [monotonicity #142]: #144 -#148 := [quant-intro #145]: #147 -#52 := [asserted]: #48 -#149 := [mp #52 #148]: #146 -#210 := [mp #149 #209]: #207 -#218 := [mp~ #210 #217]: #207 -#258 := [mp #218 #257]: #255 -#289 := [mp #258 #288]: #286 -#716 := [mp #289 #715]: #711 -#62 := -3::Int -#59 := (f4 f5 -1::Int) -#65 := (f3 #59 -3::Int) -#68 := (= #65 -1::Int) -#71 := (not #68) +#149 := [monotonicity #91 #94]: #148 +#152 := [monotonicity #149]: #151 +#157 := [trans #152 #155]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#166 := [monotonicity #163]: #165 +#169 := [monotonicity #166]: #168 +#172 := [quant-intro #169]: #171 +#189 := [trans #172 #187]: #188 +#146 := [asserted]: #48 +#190 := [mp #146 #189]: #185 +#193 := [mp~ #190 #197]: #185 +#241 := [mp #193 #240]: #238 +#272 := [mp #241 #271]: #269 +#759 := [mp #272 #758]: #754 +#75 := -3::Int +#72 := (f4 f5 -1::Int) +#78 := (f3 #72 -3::Int) +#81 := (= #78 -1::Int) +#84 := (not #81) #8 := 1::Int #9 := (- 1::Int) #11 := 3::Int @@ -40407,173 +37835,173 @@ #13 := (f3 #10 #12) #14 := (= #13 #9) #15 := (not #14) -#72 := (iff #15 #71) -#69 := (iff #14 #68) -#57 := (= #9 -1::Int) -#58 := [rewrite]: #57 -#66 := (= #13 #65) -#63 := (= #12 -3::Int) -#64 := [rewrite]: #63 -#60 := (= #10 #59) -#61 := [monotonicity #58]: #60 -#67 := [monotonicity #61 #64]: #66 -#70 := [monotonicity #67 #58]: #69 -#73 := [monotonicity #70]: #72 -#50 := [asserted]: #15 -#74 := [mp #50 #73]: #71 -#631 := (not #711) -#620 := (or #631 #68) -#365 := (* -1::Int -3::Int) -#691 := (* -1::Int -1::Int) -#366 := (mod #691 #365) -#698 := (+ #65 #366) -#699 := (= #698 0::Int) -#695 := (mod -1::Int -3::Int) -#697 := (* -1::Int #695) -#354 := (+ #65 #697) -#484 := (= #354 0::Int) -#367 := (<= -3::Int 0::Int) -#380 := (>= -1::Int 0::Int) -#377 := (or #380 #367) -#381 := (not #377) -#376 := (<= -1::Int 0::Int) -#378 := (or #376 #367) -#379 := (not #378) -#360 := (or #379 #381) -#700 := (if #360 #484 #699) -#375 := (= #65 0::Int) -#374 := (= -1::Int 0::Int) -#701 := (if #374 #375 #700) -#290 := (= -3::Int 0::Int) -#696 := (if #290 #68 #701) -#621 := (or #631 #696) -#623 := (iff #621 #620) -#624 := (iff #620 #620) -#608 := [rewrite]: #624 -#630 := (iff #696 #68) -#619 := (if false #68 #68) -#628 := (iff #619 #68) -#629 := [rewrite]: #628 -#616 := (iff #696 #619) -#625 := (iff #701 #68) -#543 := (if false #375 #68) -#634 := (iff #543 #68) -#638 := [rewrite]: #634 -#544 := (iff #701 #543) -#541 := (iff #700 #68) -#675 := 2::Int -#505 := (= #65 2::Int) -#536 := (if false #505 #68) -#532 := (iff #536 #68) -#540 := [rewrite]: #532 -#538 := (iff #700 #536) -#636 := (iff #699 #68) -#641 := (+ 1::Int #65) -#487 := (= #641 0::Int) -#632 := (iff #487 #68) -#633 := [rewrite]: #632 -#635 := (iff #699 #487) -#527 := (= #698 #641) -#640 := (+ #65 1::Int) -#644 := (= #640 #641) -#526 := [rewrite]: #644 -#642 := (= #698 #640) -#486 := (= #366 1::Int) -#653 := (mod 1::Int 3::Int) -#483 := (= #653 1::Int) -#485 := [rewrite]: #483 -#647 := (= #366 #653) -#646 := (= #365 3::Int) -#652 := [rewrite]: #646 -#651 := (= #691 1::Int) -#645 := [rewrite]: #651 -#654 := [monotonicity #645 #652]: #647 -#639 := [trans #654 #485]: #486 -#643 := [monotonicity #639]: #642 -#528 := [trans #643 #526]: #527 -#537 := [monotonicity #528]: #635 -#521 := [trans #537 #633]: #636 -#649 := (iff #484 #505) -#667 := -2::Int -#660 := (+ -2::Int #65) -#657 := (= #660 0::Int) -#506 := (iff #657 #505) -#648 := [rewrite]: #506 -#663 := (iff #484 #657) -#661 := (= #354 #660) -#669 := (+ #65 -2::Int) -#655 := (= #669 #660) -#656 := [rewrite]: #655 -#658 := (= #354 #669) -#668 := (= #697 -2::Int) -#387 := (* -1::Int 2::Int) -#382 := (= #387 -2::Int) -#664 := [rewrite]: #382 -#388 := (= #697 #387) -#385 := (= #695 2::Int) -#386 := [rewrite]: #385 -#666 := [monotonicity #386]: #388 -#665 := [trans #666 #664]: #668 -#659 := [monotonicity #665]: #658 -#662 := [trans #659 #656]: #661 -#504 := [monotonicity #662]: #663 -#650 := [trans #504 #648]: #649 -#674 := (iff #360 false) -#672 := (or false false) -#396 := (iff #672 false) -#670 := [rewrite]: #396 -#673 := (iff #360 #672) -#402 := (iff #381 false) -#1 := true -#682 := (not true) -#679 := (iff #682 false) -#685 := [rewrite]: #679 -#400 := (iff #381 #682) -#677 := (iff #377 true) -#329 := (or false true) -#690 := (iff #329 true) -#676 := [rewrite]: #690 -#689 := (iff #377 #329) -#694 := (iff #367 true) -#337 := [rewrite]: #694 -#688 := (iff #380 false) -#328 := [rewrite]: #688 -#687 := [monotonicity #328 #337]: #689 -#399 := [trans #687 #676]: #677 -#401 := [monotonicity #399]: #400 -#296 := [trans #401 #685]: #402 -#323 := (iff #379 false) -#683 := (iff #379 #682) -#680 := (iff #378 true) -#678 := (or true true) -#343 := (iff #678 true) -#344 := [rewrite]: #343 -#341 := (iff #378 #678) -#693 := (iff #376 true) -#353 := [rewrite]: #693 -#342 := [monotonicity #353 #337]: #341 -#681 := [trans #342 #344]: #680 -#684 := [monotonicity #681]: #683 -#686 := [trans #684 #685]: #323 -#395 := [monotonicity #686 #296]: #673 -#671 := [trans #395 #670]: #674 -#539 := [monotonicity #671 #650 #521]: #538 -#542 := [trans #539 #540]: #541 -#352 := (iff #374 false) -#357 := [rewrite]: #352 -#637 := [monotonicity #357 #542]: #544 -#627 := [trans #637 #638]: #625 -#702 := (iff #290 false) -#692 := [rewrite]: #702 -#618 := [monotonicity #692 #627]: #616 -#626 := [trans #618 #629]: #630 -#617 := [monotonicity #626]: #623 -#609 := [trans #617 #608]: #623 -#622 := [quant-inst #56 #62]: #621 -#611 := [mp #622 #609]: #620 -[unit-resolution #611 #74 #716]: false -c218d35497e494bce5a56e2b75fd1bf7144c1ade 317 0 -unsat +#85 := (iff #15 #84) +#82 := (iff #14 #81) +#70 := (= #9 -1::Int) +#71 := [rewrite]: #70 +#79 := (= #13 #78) +#76 := (= #12 -3::Int) +#77 := [rewrite]: #76 +#73 := (= #10 #72) +#74 := [monotonicity #71]: #73 +#80 := [monotonicity #74 #77]: #79 +#83 := [monotonicity #80 #71]: #82 +#86 := [monotonicity #83]: #85 +#68 := [asserted]: #15 +#89 := [mp #68 #86]: #84 +#669 := (not #754) +#674 := (or #669 #81) +#408 := (* -1::Int -3::Int) +#734 := (* -1::Int -1::Int) +#409 := (mod #734 #408) +#741 := (+ #78 #409) +#742 := (= #741 0::Int) +#738 := (mod -1::Int -3::Int) +#740 := (* -1::Int #738) +#397 := (+ #78 #740) +#527 := (= #397 0::Int) +#410 := (<= -3::Int 0::Int) +#423 := (>= -1::Int 0::Int) +#420 := (or #423 #410) +#424 := (not #420) +#419 := (<= -1::Int 0::Int) +#421 := (or #419 #410) +#422 := (not #421) +#403 := (or #422 #424) +#743 := (if #403 #527 #742) +#418 := (= #78 0::Int) +#417 := (= -1::Int 0::Int) +#744 := (if #417 #418 #743) +#333 := (= -3::Int 0::Int) +#739 := (if #333 #81 #744) +#663 := (or #669 #739) +#665 := (iff #663 #674) +#660 := (iff #674 #674) +#667 := [rewrite]: #660 +#672 := (iff #739 #81) +#670 := (if false #81 #81) +#661 := (iff #670 #81) +#671 := [rewrite]: #661 +#662 := (iff #739 #670) +#681 := (iff #744 #81) +#585 := (if false #418 #81) +#680 := (iff #585 #81) +#677 := [rewrite]: #680 +#586 := (iff #744 #585) +#583 := (iff #743 #81) +#293 := 2::Int +#547 := (= #78 2::Int) +#564 := (if false #547 #81) +#582 := (iff #564 #81) +#575 := [rewrite]: #582 +#579 := (iff #743 #564) +#676 := (iff #742 #81) +#686 := (+ 1::Int #78) +#571 := (= #686 0::Int) +#580 := (iff #571 #81) +#675 := [rewrite]: #580 +#530 := (iff #742 #571) +#569 := (= #741 #686) +#682 := (+ #78 1::Int) +#684 := (= #682 #686) +#687 := [rewrite]: #684 +#683 := (= #741 #682) +#528 := (= #409 1::Int) +#695 := (mod 1::Int 3::Int) +#697 := (= #695 1::Int) +#526 := [rewrite]: #697 +#696 := (= #409 #695) +#688 := (= #408 3::Int) +#689 := [rewrite]: #688 +#693 := (= #734 1::Int) +#694 := [rewrite]: #693 +#690 := [monotonicity #694 #689]: #696 +#529 := [trans #690 #526]: #528 +#685 := [monotonicity #529]: #683 +#570 := [trans #685 #687]: #569 +#678 := [monotonicity #570]: #530 +#679 := [trans #678 #675]: #676 +#691 := (iff #527 #547) +#709 := -2::Int +#702 := (+ -2::Int #78) +#705 := (= #702 0::Int) +#548 := (iff #705 #547) +#549 := [rewrite]: #548 +#700 := (iff #527 #705) +#699 := (= #397 #702) +#708 := (+ #78 -2::Int) +#703 := (= #708 #702) +#698 := [rewrite]: #703 +#712 := (= #397 #708) +#707 := (= #740 -2::Int) +#429 := (* -1::Int 2::Int) +#710 := (= #429 -2::Int) +#425 := [rewrite]: #710 +#430 := (= #740 #429) +#718 := (= #738 2::Int) +#428 := [rewrite]: #718 +#431 := [monotonicity #428]: #430 +#711 := [trans #431 #425]: #707 +#701 := [monotonicity #711]: #712 +#704 := [trans #701 #698]: #699 +#706 := [monotonicity #704]: #700 +#692 := [trans #706 #549]: #691 +#717 := (iff #403 false) +#715 := (or false false) +#439 := (iff #715 false) +#713 := [rewrite]: #439 +#716 := (iff #403 #715) +#445 := (iff #424 false) +#1 := true +#725 := (not true) +#722 := (iff #725 false) +#728 := [rewrite]: #722 +#443 := (iff #424 #725) +#720 := (iff #420 true) +#372 := (or false true) +#733 := (iff #372 true) +#719 := [rewrite]: #733 +#732 := (iff #420 #372) +#737 := (iff #410 true) +#380 := [rewrite]: #737 +#731 := (iff #423 false) +#371 := [rewrite]: #731 +#730 := [monotonicity #371 #380]: #732 +#442 := [trans #730 #719]: #720 +#444 := [monotonicity #442]: #443 +#339 := [trans #444 #728]: #445 +#366 := (iff #422 false) +#726 := (iff #422 #725) +#723 := (iff #421 true) +#721 := (or true true) +#386 := (iff #721 true) +#387 := [rewrite]: #386 +#384 := (iff #421 #721) +#736 := (iff #419 true) +#396 := [rewrite]: #736 +#385 := [monotonicity #396 #380]: #384 +#724 := [trans #385 #387]: #723 +#727 := [monotonicity #724]: #726 +#729 := [trans #727 #728]: #366 +#438 := [monotonicity #729 #339]: #716 +#714 := [trans #438 #713]: #717 +#581 := [monotonicity #714 #692 #679]: #579 +#584 := [trans #581 #575]: #583 +#395 := (iff #417 false) +#400 := [rewrite]: #395 +#587 := [monotonicity #400 #584]: #586 +#668 := [trans #587 #677]: #681 +#745 := (iff #333 false) +#735 := [rewrite]: #745 +#659 := [monotonicity #735 #668]: #662 +#673 := [trans #659 #671]: #672 +#666 := [monotonicity #673]: #665 +#651 := [trans #666 #667]: #665 +#664 := [quant-inst #69 #75]: #663 +#652 := [mp #664 #651]: #674 +[unit-resolution #652 #89 #759]: false +unsat +fa0f3c13527e84e33e9431394773a66086612292 301 0 #2 := false decl f3 :: (-> S2 Int Int) #18 := (:var 0 Int) @@ -40583,107 +38011,80 @@ #7 := f5 #37 := (f4 f5 #16) #38 := (f3 #37 #18) -#707 := (pattern #38) +#750 := (pattern #38) #12 := 0::Int -#96 := -1::Int -#100 := (* -1::Int #18) -#97 := (* -1::Int #16) -#119 := (mod #97 #100) -#275 := (+ #38 #119) -#276 := (= #275 0::Int) +#83 := -1::Int +#88 := (* -1::Int #18) +#85 := (* -1::Int #16) +#143 := (mod #85 #88) +#258 := (+ #38 #143) +#259 := (= #258 0::Int) #39 := (mod #16 #18) -#272 := (* -1::Int #39) -#273 := (+ #38 #272) -#274 := (= #273 0::Int) -#74 := (<= #18 0::Int) -#166 := (>= #16 0::Int) -#219 := (or #166 #74) -#220 := (not #219) -#70 := (<= #16 0::Int) -#215 := (or #70 #74) -#216 := (not #215) -#223 := (or #216 #220) -#277 := (if #223 #274 #276) -#271 := (= #38 0::Int) +#255 := (* -1::Int #39) +#256 := (+ #38 #255) +#257 := (= #256 0::Int) +#110 := (<= #18 0::Int) +#117 := (>= #16 0::Int) +#202 := (or #117 #110) +#203 := (not #202) +#106 := (<= #16 0::Int) +#200 := (or #106 #110) +#201 := (not #200) +#206 := (or #201 #203) +#260 := (if #206 #257 #259) +#254 := (= #38 0::Int) #20 := (= #16 0::Int) -#278 := (if #20 #271 #277) -#270 := (= #38 #16) +#261 := (if #20 #254 #260) +#253 := (= #38 #16) #21 := (= #18 0::Int) -#279 := (if #21 #270 #278) -#708 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #707) #279) -#282 := (forall (vars (?v0 Int) (?v1 Int)) #279) -#711 := (iff #282 #708) -#709 := (iff #279 #279) -#710 := [refl]: #709 -#712 := [quant-intro #710]: #711 -#125 := (* -1::Int #119) -#239 := (if #223 #39 #125) -#242 := (if #20 0::Int #239) -#245 := (if #21 #16 #242) -#248 := (= #38 #245) -#251 := (forall (vars (?v0 Int) (?v1 Int)) #248) -#283 := (iff #251 #282) -#280 := (iff #248 #279) -#281 := [rewrite]: #280 -#284 := [quant-intro #281]: #283 -#75 := (not #74) -#169 := (not #166) -#172 := (and #169 #75) -#71 := (not #70) -#78 := (and #71 #75) -#175 := (or #78 #172) -#191 := (if #175 #39 #125) -#194 := (if #20 0::Int #191) -#197 := (if #21 #16 #194) -#200 := (= #38 #197) -#203 := (forall (vars (?v0 Int) (?v1 Int)) #200) -#252 := (iff #203 #251) -#249 := (iff #200 #248) -#246 := (= #197 #245) -#243 := (= #194 #242) -#240 := (= #191 #239) -#224 := (iff #175 #223) -#221 := (iff #172 #220) -#222 := [rewrite]: #221 -#217 := (iff #78 #216) -#218 := [rewrite]: #217 -#225 := [monotonicity #218 #222]: #224 -#241 := [monotonicity #225]: #240 -#244 := [monotonicity #241]: #243 -#247 := [monotonicity #244]: #246 -#250 := [monotonicity #247]: #249 -#253 := [quant-intro #250]: #252 -#210 := (~ #203 #203) -#165 := (~ #200 #200) -#209 := [refl]: #165 -#213 := [nnf-pos #209]: #210 -#81 := (<= 0::Int #16) -#82 := (not #81) -#90 := (and #82 #75) -#93 := (or #78 #90) -#130 := (if #93 #39 #125) -#133 := (if #20 0::Int #130) -#136 := (if #21 #16 #133) -#139 := (= #38 #136) -#142 := (forall (vars (?v0 Int) (?v1 Int)) #139) -#204 := (iff #142 #203) -#201 := (iff #139 #200) -#198 := (= #136 #197) -#195 := (= #133 #194) -#192 := (= #130 #191) -#176 := (iff #93 #175) -#173 := (iff #90 #172) -#170 := (iff #82 #169) -#167 := (iff #81 #166) -#168 := [rewrite]: #167 -#171 := [monotonicity #168]: #170 -#174 := [monotonicity #171]: #173 -#177 := [monotonicity #174]: #176 -#193 := [monotonicity #177]: #192 -#196 := [monotonicity #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [monotonicity #199]: #201 -#205 := [quant-intro #202]: #204 +#262 := (if #21 #253 #261) +#751 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #750) #262) +#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) +#754 := (iff #265 #751) +#752 := (iff #262 #262) +#753 := [refl]: #752 +#755 := [quant-intro #753]: #754 +#149 := (* -1::Int #143) +#222 := (if #206 #39 #149) +#225 := (if #20 0::Int #222) +#228 := (if #21 #16 #225) +#231 := (= #38 #228) +#234 := (forall (vars (?v0 Int) (?v1 Int)) #231) +#266 := (iff #234 #265) +#263 := (iff #231 #262) +#264 := [rewrite]: #263 +#267 := [quant-intro #264]: #266 +#111 := (not #110) +#118 := (not #117) +#121 := (and #118 #111) +#107 := (not #106) +#114 := (and #107 #111) +#124 := (or #114 #121) +#169 := (if #124 #39 #149) +#172 := (if #20 0::Int #169) +#175 := (if #21 #16 #172) +#178 := (= #38 #175) +#181 := (forall (vars (?v0 Int) (?v1 Int)) #178) +#235 := (iff #181 #234) +#232 := (iff #178 #231) +#229 := (= #175 #228) +#226 := (= #172 #225) +#223 := (= #169 #222) +#207 := (iff #124 #206) +#204 := (iff #121 #203) +#205 := [rewrite]: #204 +#194 := (iff #114 #201) +#195 := [rewrite]: #194 +#208 := [monotonicity #195 #205]: #207 +#224 := [monotonicity #208]: #223 +#227 := [monotonicity #224]: #226 +#230 := [monotonicity #227]: #229 +#233 := [monotonicity #230]: #232 +#236 := [quant-intro #233]: #235 +#192 := (~ #181 #181) +#191 := (~ #178 #178) +#188 := [refl]: #191 +#193 := [nnf-pos #188]: #192 #31 := (- #18) #30 := (- #16) #40 := (mod #30 #31) @@ -40699,199 +38100,210 @@ #44 := (if #21 #16 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#143 := (iff #46 #142) -#140 := (iff #45 #139) -#137 := (= #44 #136) -#134 := (= #43 #133) -#131 := (= #42 #130) -#128 := (= #41 #125) -#122 := (- #119) -#126 := (= #122 #125) -#127 := [rewrite]: #126 -#123 := (= #41 #122) -#120 := (= #40 #119) -#101 := (= #31 #100) -#102 := [rewrite]: #101 -#98 := (= #30 #97) -#99 := [rewrite]: #98 -#121 := [monotonicity #99 #102]: #120 -#124 := [monotonicity #121]: #123 -#129 := [trans #124 #127]: #128 -#94 := (iff #28 #93) -#91 := (iff #27 #90) -#76 := (iff #24 #75) -#77 := [rewrite]: #76 -#83 := (iff #26 #82) -#87 := (iff #82 #82) -#85 := (iff #81 #81) -#86 := [rewrite]: #85 -#88 := [monotonicity #86]: #87 -#84 := [rewrite]: #83 -#89 := [trans #84 #88]: #83 -#92 := [monotonicity #89 #77]: #91 -#79 := (iff #25 #78) -#72 := (iff #23 #71) -#73 := [rewrite]: #72 -#80 := [monotonicity #73 #77]: #79 -#95 := [monotonicity #80 #92]: #94 -#132 := [monotonicity #95 #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [monotonicity #138]: #140 -#144 := [quant-intro #141]: #143 -#50 := [asserted]: #46 -#145 := [mp #50 #144]: #142 -#206 := [mp #145 #205]: #203 -#214 := [mp~ #206 #213]: #203 -#254 := [mp #214 #253]: #251 -#285 := [mp #254 #284]: #282 -#713 := [mp #285 #712]: #708 -#54 := -3::Int -#57 := (f4 f5 -3::Int) -#60 := (f3 #57 -3::Int) -#63 := (= #60 0::Int) -#66 := (not #63) +#184 := (iff #46 #181) +#154 := (if #28 #39 #149) +#157 := (if #20 0::Int #154) +#160 := (if #21 #16 #157) +#163 := (= #38 #160) +#166 := (forall (vars (?v0 Int) (?v1 Int)) #163) +#182 := (iff #166 #181) +#179 := (iff #163 #178) +#176 := (= #160 #175) +#173 := (= #157 #172) +#170 := (= #154 #169) +#125 := (iff #28 #124) +#122 := (iff #27 #121) +#112 := (iff #24 #111) +#113 := [rewrite]: #112 +#119 := (iff #26 #118) +#120 := [rewrite]: #119 +#123 := [monotonicity #120 #113]: #122 +#115 := (iff #25 #114) +#108 := (iff #23 #107) +#109 := [rewrite]: #108 +#116 := [monotonicity #109 #113]: #115 +#126 := [monotonicity #116 #123]: #125 +#171 := [monotonicity #126]: #170 +#174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [monotonicity #177]: #179 +#183 := [quant-intro #180]: #182 +#167 := (iff #46 #166) +#164 := (iff #45 #163) +#161 := (= #44 #160) +#158 := (= #43 #157) +#155 := (= #42 #154) +#152 := (= #41 #149) +#146 := (- #143) +#150 := (= #146 #149) +#151 := [rewrite]: #150 +#147 := (= #41 #146) +#144 := (= #40 #143) +#89 := (= #31 #88) +#90 := [rewrite]: #89 +#86 := (= #30 #85) +#87 := [rewrite]: #86 +#145 := [monotonicity #87 #90]: #144 +#148 := [monotonicity #145]: #147 +#153 := [trans #148 #151]: #152 +#156 := [monotonicity #153]: #155 +#159 := [monotonicity #156]: #158 +#162 := [monotonicity #159]: #161 +#165 := [monotonicity #162]: #164 +#168 := [quant-intro #165]: #167 +#185 := [trans #168 #183]: #184 +#142 := [asserted]: #46 +#186 := [mp #142 #185]: #181 +#189 := [mp~ #186 #193]: #181 +#237 := [mp #189 #236]: #234 +#268 := [mp #237 #267]: #265 +#756 := [mp #268 #755]: #751 +#67 := -3::Int +#70 := (f4 f5 -3::Int) +#73 := (f3 #70 -3::Int) +#76 := (= #73 0::Int) +#79 := (not #76) #8 := 3::Int #9 := (- 3::Int) #10 := (f4 f5 #9) #11 := (f3 #10 #9) #13 := (= #11 0::Int) #14 := (not #13) -#67 := (iff #14 #66) -#64 := (iff #13 #63) -#61 := (= #11 #60) -#55 := (= #9 -3::Int) -#56 := [rewrite]: #55 -#58 := (= #10 #57) -#59 := [monotonicity #56]: #58 -#62 := [monotonicity #59 #56]: #61 -#65 := [monotonicity #62]: #64 -#68 := [monotonicity #65]: #67 -#48 := [asserted]: #14 -#69 := [mp #48 #68]: #66 -#524 := (not #708) -#525 := (or #524 #63) -#351 := (* -1::Int -3::Int) -#481 := (mod #351 #351) -#688 := (+ #60 #481) -#362 := (= #688 0::Int) -#378 := (mod -3::Int -3::Int) -#357 := (* -1::Int #378) -#692 := (+ #60 #357) -#694 := (= #692 0::Int) -#372 := (<= -3::Int 0::Int) -#375 := (>= -3::Int 0::Int) -#376 := (or #375 #372) -#377 := (not #376) -#373 := (or #372 #372) -#364 := (not #373) -#374 := (or #364 #377) -#363 := (if #374 #694 #362) -#286 := (= -3::Int 0::Int) -#695 := (if #286 #63 #363) -#371 := (= #60 -3::Int) -#696 := (if #286 #371 #695) -#484 := (or #524 #696) -#534 := (iff #484 #525) -#630 := (iff #525 #525) -#633 := [rewrite]: #630 -#641 := (iff #696 #63) -#636 := (if false #371 #63) -#640 := (iff #636 #63) -#638 := [rewrite]: #640 -#637 := (iff #696 #636) -#482 := (iff #695 #63) -#647 := (if false #63 #63) -#643 := (iff #647 #63) -#649 := [rewrite]: #643 -#651 := (iff #695 #647) -#650 := (iff #363 #63) -#648 := (iff #363 #647) -#645 := (iff #362 #63) -#502 := (= #688 #60) -#383 := (+ #60 0::Int) -#663 := (= #383 #60) -#664 := [rewrite]: #663 -#660 := (= #688 #383) -#659 := (= #481 0::Int) -#656 := (mod 3::Int 3::Int) -#653 := (= #656 0::Int) -#658 := [rewrite]: #653 -#657 := (= #481 #656) -#666 := (= #351 3::Int) -#655 := [rewrite]: #666 -#652 := [monotonicity #655 #655]: #657 -#654 := [trans #652 #658]: #659 -#501 := [monotonicity #654]: #660 -#503 := [trans #501 #664]: #502 -#646 := [monotonicity #503]: #645 -#665 := (iff #694 #63) -#379 := (= #692 #60) -#384 := (= #692 #383) -#672 := (= #357 0::Int) -#392 := (* -1::Int 0::Int) -#671 := (= #392 0::Int) -#668 := [rewrite]: #671 -#393 := (= #357 #392) -#669 := (= #378 0::Int) -#670 := [rewrite]: #669 -#667 := [monotonicity #670]: #393 -#382 := [trans #667 #668]: #672 -#385 := [monotonicity #382]: #384 -#661 := [trans #385 #664]: #379 -#662 := [monotonicity #661]: #665 -#399 := (iff #374 false) -#673 := (or false false) -#397 := (iff #673 false) -#398 := [rewrite]: #397 -#674 := (iff #374 #673) -#684 := (iff #377 false) -#1 := true -#675 := (not true) -#340 := (iff #675 false) -#341 := [rewrite]: #340 -#326 := (iff #377 #675) -#685 := (iff #376 true) -#681 := (or false true) -#320 := (iff #681 true) -#683 := [rewrite]: #320 -#676 := (iff #376 #681) -#693 := (iff #372 true) -#699 := [rewrite]: #693 -#679 := (iff #375 false) -#680 := [rewrite]: #679 -#682 := [monotonicity #680 #699]: #676 -#325 := [trans #682 #683]: #685 -#686 := [monotonicity #325]: #326 -#687 := [trans #686 #341]: #684 -#677 := (iff #364 false) -#338 := (iff #364 #675) -#691 := (iff #373 true) -#689 := (or true true) -#690 := (iff #689 true) -#350 := [rewrite]: #690 -#349 := (iff #373 #689) -#354 := [monotonicity #699 #699]: #349 -#334 := [trans #354 #350]: #691 -#339 := [monotonicity #334]: #338 -#678 := [trans #339 #341]: #677 -#396 := [monotonicity #678 #687]: #674 -#292 := [trans #396 #398]: #399 -#642 := [monotonicity #292 #662 #646]: #648 -#644 := [trans #642 #649]: #650 -#697 := (iff #286 false) -#698 := [rewrite]: #697 -#480 := [monotonicity #698 #644]: #651 -#483 := [trans #480 #649]: #482 -#639 := [monotonicity #698 #483]: #637 -#523 := [trans #639 #638]: #641 -#629 := [monotonicity #523]: #534 -#518 := [trans #629 #633]: #534 -#632 := [quant-inst #54 #54]: #484 -#533 := [mp #632 #518]: #525 -[unit-resolution #533 #69 #713]: false -bf59e99514afc31c08b47ceb56486f223b9d1199 357 0 -unsat +#80 := (iff #14 #79) +#77 := (iff #13 #76) +#74 := (= #11 #73) +#68 := (= #9 -3::Int) +#69 := [rewrite]: #68 +#71 := (= #10 #70) +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72 #69]: #74 +#78 := [monotonicity #75]: #77 +#81 := [monotonicity #78]: #80 +#66 := [asserted]: #14 +#84 := [mp #66 #81]: #79 +#567 := (not #751) +#568 := (or #567 #76) +#394 := (* -1::Int -3::Int) +#524 := (mod #394 #394) +#731 := (+ #73 #524) +#405 := (= #731 0::Int) +#421 := (mod -3::Int -3::Int) +#400 := (* -1::Int #421) +#735 := (+ #73 #400) +#737 := (= #735 0::Int) +#415 := (<= -3::Int 0::Int) +#418 := (>= -3::Int 0::Int) +#419 := (or #418 #415) +#420 := (not #419) +#416 := (or #415 #415) +#407 := (not #416) +#417 := (or #407 #420) +#406 := (if #417 #737 #405) +#330 := (= -3::Int 0::Int) +#738 := (if #330 #76 #406) +#414 := (= #73 -3::Int) +#739 := (if #330 #414 #738) +#527 := (or #567 #739) +#577 := (iff #527 #568) +#673 := (iff #568 #568) +#676 := [rewrite]: #673 +#684 := (iff #739 #76) +#679 := (if false #414 #76) +#683 := (iff #679 #76) +#681 := [rewrite]: #683 +#680 := (iff #739 #679) +#525 := (iff #738 #76) +#690 := (if false #76 #76) +#686 := (iff #690 #76) +#692 := [rewrite]: #686 +#694 := (iff #738 #690) +#693 := (iff #406 #76) +#691 := (iff #406 #690) +#688 := (iff #405 #76) +#545 := (= #731 #73) +#426 := (+ #73 0::Int) +#706 := (= #426 #73) +#707 := [rewrite]: #706 +#703 := (= #731 #426) +#702 := (= #524 0::Int) +#699 := (mod 3::Int 3::Int) +#696 := (= #699 0::Int) +#701 := [rewrite]: #696 +#700 := (= #524 #699) +#709 := (= #394 3::Int) +#698 := [rewrite]: #709 +#695 := [monotonicity #698 #698]: #700 +#697 := [trans #695 #701]: #702 +#544 := [monotonicity #697]: #703 +#546 := [trans #544 #707]: #545 +#689 := [monotonicity #546]: #688 +#708 := (iff #737 #76) +#422 := (= #735 #73) +#427 := (= #735 #426) +#715 := (= #400 0::Int) +#435 := (* -1::Int 0::Int) +#714 := (= #435 0::Int) +#711 := [rewrite]: #714 +#436 := (= #400 #435) +#712 := (= #421 0::Int) +#713 := [rewrite]: #712 +#710 := [monotonicity #713]: #436 +#425 := [trans #710 #711]: #715 +#428 := [monotonicity #425]: #427 +#704 := [trans #428 #707]: #422 +#705 := [monotonicity #704]: #708 +#442 := (iff #417 false) +#716 := (or false false) +#440 := (iff #716 false) +#441 := [rewrite]: #440 +#717 := (iff #417 #716) +#727 := (iff #420 false) +#1 := true +#718 := (not true) +#383 := (iff #718 false) +#384 := [rewrite]: #383 +#369 := (iff #420 #718) +#728 := (iff #419 true) +#724 := (or false true) +#363 := (iff #724 true) +#726 := [rewrite]: #363 +#719 := (iff #419 #724) +#736 := (iff #415 true) +#742 := [rewrite]: #736 +#722 := (iff #418 false) +#723 := [rewrite]: #722 +#725 := [monotonicity #723 #742]: #719 +#368 := [trans #725 #726]: #728 +#729 := [monotonicity #368]: #369 +#730 := [trans #729 #384]: #727 +#720 := (iff #407 false) +#381 := (iff #407 #718) +#734 := (iff #416 true) +#732 := (or true true) +#733 := (iff #732 true) +#393 := [rewrite]: #733 +#392 := (iff #416 #732) +#397 := [monotonicity #742 #742]: #392 +#377 := [trans #397 #393]: #734 +#382 := [monotonicity #377]: #381 +#721 := [trans #382 #384]: #720 +#439 := [monotonicity #721 #730]: #717 +#336 := [trans #439 #441]: #442 +#685 := [monotonicity #336 #705 #689]: #691 +#687 := [trans #685 #692]: #693 +#740 := (iff #330 false) +#741 := [rewrite]: #740 +#523 := [monotonicity #741 #687]: #694 +#526 := [trans #523 #692]: #525 +#682 := [monotonicity #741 #526]: #680 +#566 := [trans #682 #681]: #684 +#672 := [monotonicity #566]: #577 +#561 := [trans #672 #676]: #577 +#675 := [quant-inst #67 #67]: #527 +#576 := [mp #675 #561]: #568 +[unit-resolution #576 #84 #756]: false +unsat +78e98b360474b07bbe43f0216b8f59ecf8adcdd9 341 0 #2 := false decl f3 :: (-> S2 Int Int) #21 := (:var 0 Int) @@ -40901,107 +38313,80 @@ #7 := f5 #41 := (f4 f5 #19) #42 := (f3 #41 #21) -#717 := (pattern #42) +#758 := (pattern #42) #23 := 0::Int -#106 := -1::Int -#110 := (* -1::Int #21) -#107 := (* -1::Int #19) -#129 := (mod #107 #110) -#285 := (+ #42 #129) -#286 := (= #285 0::Int) +#93 := -1::Int +#98 := (* -1::Int #21) +#95 := (* -1::Int #19) +#153 := (mod #95 #98) +#268 := (+ #42 #153) +#269 := (= #268 0::Int) #43 := (mod #19 #21) -#282 := (* -1::Int #43) -#283 := (+ #42 #282) -#284 := (= #283 0::Int) -#84 := (<= #21 0::Int) -#176 := (>= #19 0::Int) -#229 := (or #176 #84) -#230 := (not #229) -#80 := (<= #19 0::Int) -#225 := (or #80 #84) -#226 := (not #225) -#233 := (or #226 #230) -#287 := (if #233 #284 #286) -#281 := (= #42 0::Int) +#265 := (* -1::Int #43) +#266 := (+ #42 #265) +#267 := (= #266 0::Int) +#120 := (<= #21 0::Int) +#127 := (>= #19 0::Int) +#212 := (or #127 #120) +#213 := (not #212) +#116 := (<= #19 0::Int) +#210 := (or #116 #120) +#211 := (not #210) +#216 := (or #211 #213) +#270 := (if #216 #267 #269) +#264 := (= #42 0::Int) #24 := (= #19 0::Int) -#288 := (if #24 #281 #287) -#280 := (= #42 #19) +#271 := (if #24 #264 #270) +#263 := (= #42 #19) #25 := (= #21 0::Int) -#289 := (if #25 #280 #288) -#718 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #717) #289) -#292 := (forall (vars (?v0 Int) (?v1 Int)) #289) -#721 := (iff #292 #718) -#719 := (iff #289 #289) -#720 := [refl]: #719 -#722 := [quant-intro #720]: #721 -#135 := (* -1::Int #129) -#249 := (if #233 #43 #135) -#252 := (if #24 0::Int #249) -#255 := (if #25 #19 #252) -#258 := (= #42 #255) -#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) -#293 := (iff #261 #292) -#290 := (iff #258 #289) -#291 := [rewrite]: #290 -#294 := [quant-intro #291]: #293 -#85 := (not #84) -#179 := (not #176) -#182 := (and #179 #85) -#81 := (not #80) -#88 := (and #81 #85) -#185 := (or #88 #182) -#201 := (if #185 #43 #135) -#204 := (if #24 0::Int #201) -#207 := (if #25 #19 #204) -#210 := (= #42 #207) -#213 := (forall (vars (?v0 Int) (?v1 Int)) #210) -#262 := (iff #213 #261) -#259 := (iff #210 #258) -#256 := (= #207 #255) -#253 := (= #204 #252) -#250 := (= #201 #249) -#234 := (iff #185 #233) -#231 := (iff #182 #230) -#232 := [rewrite]: #231 -#227 := (iff #88 #226) -#228 := [rewrite]: #227 -#235 := [monotonicity #228 #232]: #234 -#251 := [monotonicity #235]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [monotonicity #257]: #259 -#263 := [quant-intro #260]: #262 -#175 := (~ #213 #213) -#220 := (~ #210 #210) -#174 := [refl]: #220 -#223 := [nnf-pos #174]: #175 -#91 := (<= 0::Int #19) -#92 := (not #91) -#100 := (and #92 #85) -#103 := (or #88 #100) -#140 := (if #103 #43 #135) -#143 := (if #24 0::Int #140) -#146 := (if #25 #19 #143) -#149 := (= #42 #146) -#152 := (forall (vars (?v0 Int) (?v1 Int)) #149) -#214 := (iff #152 #213) -#211 := (iff #149 #210) -#208 := (= #146 #207) -#205 := (= #143 #204) -#202 := (= #140 #201) -#186 := (iff #103 #185) -#183 := (iff #100 #182) -#180 := (iff #92 #179) -#177 := (iff #91 #176) -#178 := [rewrite]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#203 := [monotonicity #187]: #202 -#206 := [monotonicity #203]: #205 -#209 := [monotonicity #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [quant-intro #212]: #214 +#272 := (if #25 #263 #271) +#759 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #758) #272) +#275 := (forall (vars (?v0 Int) (?v1 Int)) #272) +#762 := (iff #275 #759) +#760 := (iff #272 #272) +#761 := [refl]: #760 +#763 := [quant-intro #761]: #762 +#159 := (* -1::Int #153) +#232 := (if #216 #43 #159) +#235 := (if #24 0::Int #232) +#238 := (if #25 #19 #235) +#241 := (= #42 #238) +#244 := (forall (vars (?v0 Int) (?v1 Int)) #241) +#276 := (iff #244 #275) +#273 := (iff #241 #272) +#274 := [rewrite]: #273 +#277 := [quant-intro #274]: #276 +#121 := (not #120) +#128 := (not #127) +#131 := (and #128 #121) +#117 := (not #116) +#124 := (and #117 #121) +#134 := (or #124 #131) +#179 := (if #134 #43 #159) +#182 := (if #24 0::Int #179) +#185 := (if #25 #19 #182) +#188 := (= #42 #185) +#191 := (forall (vars (?v0 Int) (?v1 Int)) #188) +#245 := (iff #191 #244) +#242 := (iff #188 #241) +#239 := (= #185 #238) +#236 := (= #182 #235) +#233 := (= #179 #232) +#217 := (iff #134 #216) +#214 := (iff #131 #213) +#215 := [rewrite]: #214 +#204 := (iff #124 #211) +#205 := [rewrite]: #204 +#218 := [monotonicity #205 #215]: #217 +#234 := [monotonicity #218]: #233 +#237 := [monotonicity #234]: #236 +#240 := [monotonicity #237]: #239 +#243 := [monotonicity #240]: #242 +#246 := [quant-intro #243]: #245 +#202 := (~ #191 #191) +#201 := (~ #188 #188) +#198 := [refl]: #201 +#203 := [nnf-pos #198]: #202 #35 := (- #21) #34 := (- #19) #44 := (mod #34 #35) @@ -41017,60 +38402,71 @@ #48 := (if #25 #19 #47) #49 := (= #42 #48) #50 := (forall (vars (?v0 Int) (?v1 Int)) #49) -#153 := (iff #50 #152) -#150 := (iff #49 #149) -#147 := (= #48 #146) -#144 := (= #47 #143) -#141 := (= #46 #140) -#138 := (= #45 #135) -#132 := (- #129) -#136 := (= #132 #135) -#137 := [rewrite]: #136 -#133 := (= #45 #132) -#130 := (= #44 #129) -#111 := (= #35 #110) -#112 := [rewrite]: #111 -#108 := (= #34 #107) -#109 := [rewrite]: #108 -#131 := [monotonicity #109 #112]: #130 -#134 := [monotonicity #131]: #133 -#139 := [trans #134 #137]: #138 -#104 := (iff #32 #103) -#101 := (iff #31 #100) -#86 := (iff #28 #85) -#87 := [rewrite]: #86 -#93 := (iff #30 #92) -#97 := (iff #92 #92) -#95 := (iff #91 #91) -#96 := [rewrite]: #95 -#98 := [monotonicity #96]: #97 -#94 := [rewrite]: #93 -#99 := [trans #94 #98]: #93 -#102 := [monotonicity #99 #87]: #101 -#89 := (iff #29 #88) -#82 := (iff #27 #81) -#83 := [rewrite]: #82 -#90 := [monotonicity #83 #87]: #89 -#105 := [monotonicity #90 #102]: #104 -#142 := [monotonicity #105 #139]: #141 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#151 := [monotonicity #148]: #150 -#154 := [quant-intro #151]: #153 -#54 := [asserted]: #50 -#155 := [mp #54 #154]: #152 -#216 := [mp #155 #215]: #213 -#224 := [mp~ #216 #223]: #213 -#264 := [mp #224 #263]: #261 -#295 := [mp #264 #294]: #292 -#723 := [mp #295 #722]: #718 -#70 := -2::Int -#64 := -3::Int -#58 := -5::Int -#61 := (f4 f5 -5::Int) -#67 := (f3 #61 -3::Int) -#73 := (= #67 -2::Int) -#76 := (not #73) +#194 := (iff #50 #191) +#164 := (if #32 #43 #159) +#167 := (if #24 0::Int #164) +#170 := (if #25 #19 #167) +#173 := (= #42 #170) +#176 := (forall (vars (?v0 Int) (?v1 Int)) #173) +#192 := (iff #176 #191) +#189 := (iff #173 #188) +#186 := (= #170 #185) +#183 := (= #167 #182) +#180 := (= #164 #179) +#135 := (iff #32 #134) +#132 := (iff #31 #131) +#122 := (iff #28 #121) +#123 := [rewrite]: #122 +#129 := (iff #30 #128) +#130 := [rewrite]: #129 +#133 := [monotonicity #130 #123]: #132 +#125 := (iff #29 #124) +#118 := (iff #27 #117) +#119 := [rewrite]: #118 +#126 := [monotonicity #119 #123]: #125 +#136 := [monotonicity #126 #133]: #135 +#181 := [monotonicity #136]: #180 +#184 := [monotonicity #181]: #183 +#187 := [monotonicity #184]: #186 +#190 := [monotonicity #187]: #189 +#193 := [quant-intro #190]: #192 +#177 := (iff #50 #176) +#174 := (iff #49 #173) +#171 := (= #48 #170) +#168 := (= #47 #167) +#165 := (= #46 #164) +#162 := (= #45 #159) +#156 := (- #153) +#160 := (= #156 #159) +#161 := [rewrite]: #160 +#157 := (= #45 #156) +#154 := (= #44 #153) +#99 := (= #35 #98) +#100 := [rewrite]: #99 +#96 := (= #34 #95) +#97 := [rewrite]: #96 +#155 := [monotonicity #97 #100]: #154 +#158 := [monotonicity #155]: #157 +#163 := [trans #158 #161]: #162 +#166 := [monotonicity #163]: #165 +#169 := [monotonicity #166]: #168 +#172 := [monotonicity #169]: #171 +#175 := [monotonicity #172]: #174 +#178 := [quant-intro #175]: #177 +#195 := [trans #178 #193]: #194 +#152 := [asserted]: #50 +#196 := [mp #152 #195]: #191 +#199 := [mp~ #196 #203]: #191 +#247 := [mp #199 #246]: #244 +#278 := [mp #247 #277]: #275 +#764 := [mp #278 #763]: #759 +#83 := -2::Int +#77 := -3::Int +#71 := -5::Int +#74 := (f4 f5 -5::Int) +#80 := (f3 #74 -3::Int) +#86 := (= #80 -2::Int) +#89 := (not #86) #14 := 2::Int #15 := (- 2::Int) #11 := 3::Int @@ -41081,350 +38477,314 @@ #13 := (f3 #10 #12) #16 := (= #13 #15) #17 := (not #16) -#77 := (iff #17 #76) -#74 := (iff #16 #73) -#71 := (= #15 -2::Int) -#72 := [rewrite]: #71 -#68 := (= #13 #67) -#65 := (= #12 -3::Int) -#66 := [rewrite]: #65 -#62 := (= #10 #61) -#59 := (= #9 -5::Int) -#60 := [rewrite]: #59 -#63 := [monotonicity #60]: #62 -#69 := [monotonicity #63 #66]: #68 -#75 := [monotonicity #69 #72]: #74 -#78 := [monotonicity #75]: #77 -#52 := [asserted]: #17 -#79 := [mp #52 #78]: #76 -#633 := (not #718) -#638 := (or #633 #73) -#373 := (* -1::Int -3::Int) -#372 := (* -1::Int -5::Int) -#705 := (mod #372 #373) -#706 := (+ #67 #705) -#707 := (= #706 0::Int) -#704 := (mod -5::Int -3::Int) -#361 := (* -1::Int #704) -#491 := (+ #67 #361) -#698 := (= #491 0::Int) -#385 := (<= -3::Int 0::Int) -#384 := (>= -5::Int 0::Int) -#388 := (or #384 #385) -#367 := (not #388) -#374 := (<= -5::Int 0::Int) -#386 := (or #374 #385) -#387 := (not #386) -#702 := (or #387 #367) -#708 := (if #702 #698 #707) -#383 := (= #67 0::Int) -#382 := (= -5::Int 0::Int) -#703 := (if #382 #383 #708) -#381 := (= #67 -5::Int) -#296 := (= -3::Int 0::Int) -#709 := (if #296 #381 #703) -#627 := (or #633 #709) -#629 := (iff #627 #638) -#624 := (iff #638 #638) -#631 := [rewrite]: #624 -#636 := (iff #709 #73) -#634 := (if false #381 #73) -#625 := (iff #634 #73) -#635 := [rewrite]: #625 -#626 := (iff #709 #634) -#645 := (iff #703 #73) -#549 := (if false #383 #73) -#644 := (iff #549 #73) -#641 := [rewrite]: #644 -#550 := (iff #703 #549) -#547 := (iff #708 #73) -#314 := 1::Int -#511 := (= #67 1::Int) -#528 := (if false #511 #73) -#546 := (iff #528 #73) -#539 := [rewrite]: #546 -#543 := (iff #708 #528) -#640 := (iff #707 #73) -#650 := (+ 2::Int #67) -#535 := (= #650 0::Int) -#544 := (iff #535 #73) -#639 := [rewrite]: #544 -#494 := (iff #707 #535) -#533 := (= #706 #650) -#646 := (+ #67 2::Int) -#648 := (= #646 #650) -#651 := [rewrite]: #648 -#647 := (= #706 #646) -#492 := (= #705 2::Int) -#659 := (mod 5::Int 3::Int) -#661 := (= #659 2::Int) -#490 := [rewrite]: #661 -#660 := (= #705 #659) -#652 := (= #373 3::Int) -#653 := [rewrite]: #652 -#657 := (= #372 5::Int) -#658 := [rewrite]: #657 -#654 := [monotonicity #658 #653]: #660 -#493 := [trans #654 #490]: #492 -#649 := [monotonicity #493]: #647 -#534 := [trans #649 #651]: #533 -#642 := [monotonicity #534]: #494 -#643 := [trans #642 #639]: #640 -#655 := (iff #698 #511) -#666 := (+ -1::Int #67) -#669 := (= #666 0::Int) -#512 := (iff #669 #511) -#513 := [rewrite]: #512 -#664 := (iff #698 #669) -#663 := (= #491 #666) -#672 := (+ #67 -1::Int) -#667 := (= #672 #666) -#662 := [rewrite]: #667 -#676 := (= #491 #672) -#671 := (= #361 -1::Int) -#394 := (* -1::Int 1::Int) -#674 := (= #394 -1::Int) -#389 := [rewrite]: #674 -#395 := (= #361 #394) -#392 := (= #704 1::Int) -#393 := [rewrite]: #392 -#673 := [monotonicity #393]: #395 -#675 := [trans #673 #389]: #671 -#665 := [monotonicity #675]: #676 -#668 := [trans #665 #662]: #663 -#670 := [monotonicity #668]: #664 -#656 := [trans #670 #513]: #655 -#678 := (iff #702 false) -#680 := (or false false) -#677 := (iff #680 false) -#681 := [rewrite]: #677 -#402 := (iff #702 #680) -#302 := (iff #367 false) -#1 := true -#690 := (not true) -#692 := (iff #690 false) -#330 := [rewrite]: #692 -#408 := (iff #367 #690) -#406 := (iff #388 true) -#696 := (or false true) -#683 := (iff #696 true) -#684 := [rewrite]: #683 -#694 := (iff #388 #696) -#344 := (iff #385 true) -#685 := [rewrite]: #344 -#335 := (iff #384 false) -#336 := [rewrite]: #335 -#697 := [monotonicity #336 #685]: #694 -#407 := [trans #697 #684]: #406 -#409 := [monotonicity #407]: #408 -#679 := [trans #409 #330]: #302 -#693 := (iff #387 false) -#691 := (iff #387 #690) -#688 := (iff #386 true) -#348 := (or true true) -#351 := (iff #348 true) -#687 := [rewrite]: #351 -#349 := (iff #386 #348) -#360 := (iff #374 true) -#701 := [rewrite]: #360 -#350 := [monotonicity #701 #685]: #349 -#689 := [trans #350 #687]: #688 -#686 := [monotonicity #689]: #691 -#695 := [trans #686 #330]: #693 -#403 := [monotonicity #695 #679]: #402 -#682 := [trans #403 #681]: #678 -#545 := [monotonicity #682 #656 #643]: #543 -#548 := [trans #545 #539]: #547 -#364 := (iff #382 false) -#700 := [rewrite]: #364 -#551 := [monotonicity #700 #548]: #550 -#632 := [trans #551 #641]: #645 -#699 := (iff #296 false) -#359 := [rewrite]: #699 -#623 := [monotonicity #359 #632]: #626 -#637 := [trans #623 #635]: #636 -#630 := [monotonicity #637]: #629 -#615 := [trans #630 #631]: #629 -#628 := [quant-inst #58 #64]: #627 -#616 := [mp #628 #615]: #638 -[unit-resolution #616 #79 #723]: false -ef703ebceb3fa98287d10eb7ea1d68a68c17e1d3 342 0 -unsat +#90 := (iff #17 #89) +#87 := (iff #16 #86) +#84 := (= #15 -2::Int) +#85 := [rewrite]: #84 +#81 := (= #13 #80) +#78 := (= #12 -3::Int) +#79 := [rewrite]: #78 +#75 := (= #10 #74) +#72 := (= #9 -5::Int) +#73 := [rewrite]: #72 +#76 := [monotonicity #73]: #75 +#82 := [monotonicity #76 #79]: #81 +#88 := [monotonicity #82 #85]: #87 +#91 := [monotonicity #88]: #90 +#70 := [asserted]: #17 +#94 := [mp #70 #91]: #89 +#674 := (not #759) +#679 := (or #674 #86) +#414 := (* -1::Int -3::Int) +#413 := (* -1::Int -5::Int) +#746 := (mod #413 #414) +#747 := (+ #80 #746) +#748 := (= #747 0::Int) +#745 := (mod -5::Int -3::Int) +#402 := (* -1::Int #745) +#532 := (+ #80 #402) +#739 := (= #532 0::Int) +#426 := (<= -3::Int 0::Int) +#425 := (>= -5::Int 0::Int) +#429 := (or #425 #426) +#408 := (not #429) +#415 := (<= -5::Int 0::Int) +#427 := (or #415 #426) +#428 := (not #427) +#743 := (or #428 #408) +#749 := (if #743 #739 #748) +#424 := (= #80 0::Int) +#423 := (= -5::Int 0::Int) +#744 := (if #423 #424 #749) +#422 := (= #80 -5::Int) +#338 := (= -3::Int 0::Int) +#750 := (if #338 #422 #744) +#668 := (or #674 #750) +#670 := (iff #668 #679) +#665 := (iff #679 #679) +#672 := [rewrite]: #665 +#677 := (iff #750 #86) +#675 := (if false #422 #86) +#666 := (iff #675 #86) +#676 := [rewrite]: #666 +#667 := (iff #750 #675) +#686 := (iff #744 #86) +#590 := (if false #424 #86) +#685 := (iff #590 #86) +#682 := [rewrite]: #685 +#591 := (iff #744 #590) +#588 := (iff #749 #86) +#291 := 1::Int +#552 := (= #80 1::Int) +#569 := (if false #552 #86) +#587 := (iff #569 #86) +#580 := [rewrite]: #587 +#584 := (iff #749 #569) +#681 := (iff #748 #86) +#691 := (+ 2::Int #80) +#576 := (= #691 0::Int) +#585 := (iff #576 #86) +#680 := [rewrite]: #585 +#535 := (iff #748 #576) +#574 := (= #747 #691) +#687 := (+ #80 2::Int) +#689 := (= #687 #691) +#692 := [rewrite]: #689 +#688 := (= #747 #687) +#533 := (= #746 2::Int) +#700 := (mod 5::Int 3::Int) +#702 := (= #700 2::Int) +#531 := [rewrite]: #702 +#701 := (= #746 #700) +#693 := (= #414 3::Int) +#694 := [rewrite]: #693 +#698 := (= #413 5::Int) +#699 := [rewrite]: #698 +#695 := [monotonicity #699 #694]: #701 +#534 := [trans #695 #531]: #533 +#690 := [monotonicity #534]: #688 +#575 := [trans #690 #692]: #574 +#683 := [monotonicity #575]: #535 +#684 := [trans #683 #680]: #681 +#696 := (iff #739 #552) +#707 := (+ -1::Int #80) +#710 := (= #707 0::Int) +#553 := (iff #710 #552) +#554 := [rewrite]: #553 +#705 := (iff #739 #710) +#704 := (= #532 #707) +#713 := (+ #80 -1::Int) +#708 := (= #713 #707) +#703 := [rewrite]: #708 +#717 := (= #532 #713) +#712 := (= #402 -1::Int) +#435 := (* -1::Int 1::Int) +#715 := (= #435 -1::Int) +#430 := [rewrite]: #715 +#436 := (= #402 #435) +#433 := (= #745 1::Int) +#434 := [rewrite]: #433 +#714 := [monotonicity #434]: #436 +#716 := [trans #714 #430]: #712 +#706 := [monotonicity #716]: #717 +#709 := [trans #706 #703]: #704 +#711 := [monotonicity #709]: #705 +#697 := [trans #711 #554]: #696 +#719 := (iff #743 false) +#721 := (or false false) +#718 := (iff #721 false) +#722 := [rewrite]: #718 +#443 := (iff #743 #721) +#344 := (iff #408 false) +#1 := true +#731 := (not true) +#733 := (iff #731 false) +#371 := [rewrite]: #733 +#449 := (iff #408 #731) +#447 := (iff #429 true) +#737 := (or false true) +#724 := (iff #737 true) +#725 := [rewrite]: #724 +#735 := (iff #429 #737) +#385 := (iff #426 true) +#726 := [rewrite]: #385 +#376 := (iff #425 false) +#377 := [rewrite]: #376 +#738 := [monotonicity #377 #726]: #735 +#448 := [trans #738 #725]: #447 +#450 := [monotonicity #448]: #449 +#720 := [trans #450 #371]: #344 +#734 := (iff #428 false) +#732 := (iff #428 #731) +#729 := (iff #427 true) +#389 := (or true true) +#392 := (iff #389 true) +#728 := [rewrite]: #392 +#390 := (iff #427 #389) +#401 := (iff #415 true) +#742 := [rewrite]: #401 +#391 := [monotonicity #742 #726]: #390 +#730 := [trans #391 #728]: #729 +#727 := [monotonicity #730]: #732 +#736 := [trans #727 #371]: #734 +#444 := [monotonicity #736 #720]: #443 +#723 := [trans #444 #722]: #719 +#586 := [monotonicity #723 #697 #684]: #584 +#589 := [trans #586 #580]: #588 +#405 := (iff #423 false) +#741 := [rewrite]: #405 +#592 := [monotonicity #741 #589]: #591 +#673 := [trans #592 #682]: #686 +#740 := (iff #338 false) +#400 := [rewrite]: #740 +#664 := [monotonicity #400 #673]: #667 +#678 := [trans #664 #676]: #677 +#671 := [monotonicity #678]: #670 +#656 := [trans #671 #672]: #670 +#669 := [quant-inst #71 #77]: #668 +#657 := [mp #669 #656]: #679 +[unit-resolution #657 #94 #764]: false +unsat +f7f6dba4a50481c109b9d852231cbc0e5bd8ffbf 316 0 #2 := false #19 := 0::Int decl f6 :: Int #8 := f6 -#369 := (<= f6 0::Int) -#379 := (>= f6 0::Int) -#690 := (not #379) -#346 := (not #369) -#691 := (or #346 #690) -#653 := (not #691) +#403 := (<= f6 0::Int) +#413 := (>= f6 0::Int) +#724 := (not #413) +#380 := (not #403) +#725 := (or #380 #724) +#687 := (not #725) #10 := 3::Int -#699 := (mod f6 3::Int) -#97 := -1::Int -#356 := (* -1::Int #699) +#733 := (mod f6 3::Int) +#68 := -1::Int +#390 := (* -1::Int #733) decl f3 :: (-> S2 Int Int) decl f4 :: (-> S3 Int S2) decl f5 :: S3 #7 := f5 #9 := (f4 f5 f6) #11 := (f3 #9 3::Int) -#486 := (+ #11 #356) -#693 := (= #486 0::Int) -#644 := (not #693) -#654 := (<= #486 0::Int) -#599 := (not #654) -#603 := (>= #699 3::Int) -#604 := (not #603) -#1 := true -#164 := [true-axiom]: true -#594 := (or false #604) -#595 := [th-lemma arith]: #594 -#596 := [unit-resolution #595 #164]: #604 -#597 := [hypothesis]: #654 -#167 := (>= #11 3::Int) -#54 := (<= 3::Int #11) -#166 := (iff #54 #167) -#168 := [rewrite]: #166 +#520 := (+ #11 #390) +#727 := (= #520 0::Int) +#678 := (not #727) +#688 := (<= #520 0::Int) +#634 := (not #688) +#638 := (>= #733 3::Int) +#640 := (not #638) +#1 := true +#64 := [true-axiom]: true +#629 := (or false #640) +#630 := [th-lemma arith]: #629 +#631 := [unit-resolution #630 #64]: #640 +#632 := [hypothesis]: #688 +#71 := (>= #11 3::Int) #12 := (< #11 3::Int) #13 := (not #12) -#68 := (iff #13 #54) -#55 := (not #54) -#63 := (not #55) -#66 := (iff #63 #54) -#67 := [rewrite]: #66 -#64 := (iff #13 #63) -#56 := (iff #12 #55) -#60 := (iff #55 #55) -#58 := (iff #54 #54) -#59 := [rewrite]: #58 -#61 := [monotonicity #59]: #60 -#57 := [rewrite]: #56 -#62 := [trans #57 #61]: #56 -#65 := [monotonicity #62]: #64 -#69 := [trans #65 #67]: #68 -#48 := [asserted]: #13 -#70 := [mp #48 #69]: #54 -#169 := [mp #70 #168]: #167 -#598 := [th-lemma arith farkas -1 1 1 #169 #597 #596]: false -#600 := [lemma #598]: #599 -#632 := (or #644 #654) -#534 := [th-lemma arith triangle-eq]: #632 -#629 := [unit-resolution #534 #600]: #644 -#592 := (or #653 #693) -#678 := -3::Int -#367 := (* -1::Int f6) -#402 := (mod #367 -3::Int) -#297 := (+ #11 #402) -#397 := (= #297 0::Int) -#676 := (if #691 #693 #397) -#378 := (= #11 0::Int) -#377 := (= f6 0::Int) -#387 := (if #377 #378 #676) +#78 := (iff #13 #71) +#69 := (not #71) +#73 := (not #69) +#76 := (iff #73 #71) +#77 := [rewrite]: #76 +#74 := (iff #13 #73) +#70 := (iff #12 #69) +#72 := [rewrite]: #70 +#75 := [monotonicity #72]: #74 +#79 := [trans #75 #77]: #78 +#66 := [asserted]: #13 +#80 := [mp #66 #79]: #71 +#633 := [th-lemma arith farkas -1 1 1 #80 #632 #631]: false +#635 := [lemma #633]: #634 +#623 := (or #678 #688) +#624 := [th-lemma arith triangle-eq]: #623 +#626 := [unit-resolution #624 #635]: #678 +#621 := (or #687 #727) +#712 := -3::Int +#401 := (* -1::Int f6) +#436 := (mod #401 -3::Int) +#332 := (+ #11 #436) +#431 := (= #332 0::Int) +#710 := (if #725 #727 #431) +#412 := (= #11 0::Int) +#411 := (= f6 0::Int) +#421 := (if #411 #412 #710) #17 := (:var 0 Int) #15 := (:var 1 Int) #37 := (f4 f5 #15) #38 := (f3 #37 #17) -#712 := (pattern #38) -#101 := (* -1::Int #17) -#98 := (* -1::Int #15) -#120 := (mod #98 #101) -#280 := (+ #38 #120) -#281 := (= #280 0::Int) +#746 := (pattern #38) +#84 := (* -1::Int #17) +#81 := (* -1::Int #15) +#139 := (mod #81 #84) +#254 := (+ #38 #139) +#255 := (= #254 0::Int) #39 := (mod #15 #17) -#277 := (* -1::Int #39) -#278 := (+ #38 #277) -#279 := (= #278 0::Int) -#75 := (<= #17 0::Int) -#171 := (>= #15 0::Int) -#224 := (or #171 #75) -#225 := (not #224) -#71 := (<= #15 0::Int) -#220 := (or #71 #75) -#221 := (not #220) -#228 := (or #221 #225) -#282 := (if #228 #279 #281) -#276 := (= #38 0::Int) +#251 := (* -1::Int #39) +#252 := (+ #38 #251) +#253 := (= #252 0::Int) +#106 := (<= #17 0::Int) +#113 := (>= #15 0::Int) +#198 := (or #113 #106) +#199 := (not #198) +#102 := (<= #15 0::Int) +#196 := (or #102 #106) +#197 := (not #196) +#202 := (or #197 #199) +#256 := (if #202 #253 #255) +#250 := (= #38 0::Int) #20 := (= #15 0::Int) -#283 := (if #20 #276 #282) -#275 := (= #38 #15) +#257 := (if #20 #250 #256) +#249 := (= #38 #15) #21 := (= #17 0::Int) -#284 := (if #21 #275 #283) -#713 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #712) #284) -#287 := (forall (vars (?v0 Int) (?v1 Int)) #284) -#716 := (iff #287 #713) -#714 := (iff #284 #284) -#715 := [refl]: #714 -#717 := [quant-intro #715]: #716 -#126 := (* -1::Int #120) -#244 := (if #228 #39 #126) -#247 := (if #20 0::Int #244) -#250 := (if #21 #15 #247) -#253 := (= #38 #250) -#256 := (forall (vars (?v0 Int) (?v1 Int)) #253) -#288 := (iff #256 #287) -#285 := (iff #253 #284) -#286 := [rewrite]: #285 -#289 := [quant-intro #286]: #288 -#76 := (not #75) -#174 := (not #171) -#177 := (and #174 #76) -#72 := (not #71) -#79 := (and #72 #76) -#180 := (or #79 #177) -#196 := (if #180 #39 #126) -#199 := (if #20 0::Int #196) -#202 := (if #21 #15 #199) -#205 := (= #38 #202) -#208 := (forall (vars (?v0 Int) (?v1 Int)) #205) -#257 := (iff #208 #256) -#254 := (iff #205 #253) -#251 := (= #202 #250) -#248 := (= #199 #247) -#245 := (= #196 #244) -#229 := (iff #180 #228) -#226 := (iff #177 #225) -#227 := [rewrite]: #226 -#222 := (iff #79 #221) -#223 := [rewrite]: #222 -#230 := [monotonicity #223 #227]: #229 -#246 := [monotonicity #230]: #245 -#249 := [monotonicity #246]: #248 -#252 := [monotonicity #249]: #251 -#255 := [monotonicity #252]: #254 -#258 := [quant-intro #255]: #257 -#215 := (~ #208 #208) -#170 := (~ #205 #205) -#214 := [refl]: #170 -#218 := [nnf-pos #214]: #215 -#82 := (<= 0::Int #15) -#83 := (not #82) -#91 := (and #83 #76) -#94 := (or #79 #91) -#131 := (if #94 #39 #126) -#134 := (if #20 0::Int #131) -#137 := (if #21 #15 #134) -#140 := (= #38 #137) -#143 := (forall (vars (?v0 Int) (?v1 Int)) #140) -#209 := (iff #143 #208) -#206 := (iff #140 #205) -#203 := (= #137 #202) -#200 := (= #134 #199) -#197 := (= #131 #196) -#181 := (iff #94 #180) -#178 := (iff #91 #177) -#175 := (iff #83 #174) -#172 := (iff #82 #171) -#173 := [rewrite]: #172 -#176 := [monotonicity #173]: #175 -#179 := [monotonicity #176]: #178 -#182 := [monotonicity #179]: #181 -#198 := [monotonicity #182]: #197 -#201 := [monotonicity #198]: #200 -#204 := [monotonicity #201]: #203 -#207 := [monotonicity #204]: #206 -#210 := [quant-intro #207]: #209 +#258 := (if #21 #249 #257) +#747 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #746) #258) +#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) +#750 := (iff #261 #747) +#748 := (iff #258 #258) +#749 := [refl]: #748 +#751 := [quant-intro #749]: #750 +#145 := (* -1::Int #139) +#218 := (if #202 #39 #145) +#221 := (if #20 0::Int #218) +#224 := (if #21 #15 #221) +#227 := (= #38 #224) +#230 := (forall (vars (?v0 Int) (?v1 Int)) #227) +#262 := (iff #230 #261) +#259 := (iff #227 #258) +#260 := [rewrite]: #259 +#263 := [quant-intro #260]: #262 +#107 := (not #106) +#114 := (not #113) +#117 := (and #114 #107) +#103 := (not #102) +#110 := (and #103 #107) +#120 := (or #110 #117) +#165 := (if #120 #39 #145) +#168 := (if #20 0::Int #165) +#171 := (if #21 #15 #168) +#174 := (= #38 #171) +#177 := (forall (vars (?v0 Int) (?v1 Int)) #174) +#231 := (iff #177 #230) +#228 := (iff #174 #227) +#225 := (= #171 #224) +#222 := (= #168 #221) +#219 := (= #165 #218) +#203 := (iff #120 #202) +#200 := (iff #117 #199) +#201 := [rewrite]: #200 +#190 := (iff #110 #197) +#191 := [rewrite]: #190 +#204 := [monotonicity #191 #201]: #203 +#220 := [monotonicity #204]: #219 +#223 := [monotonicity #220]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [quant-intro #229]: #231 +#188 := (~ #177 #177) +#187 := (~ #174 #174) +#184 := [refl]: #187 +#189 := [nnf-pos #184]: #188 #31 := (- #17) #30 := (- #15) #40 := (mod #30 #31) @@ -41440,171 +38800,181 @@ #44 := (if #21 #15 #43) #45 := (= #38 #44) #46 := (forall (vars (?v0 Int) (?v1 Int)) #45) -#144 := (iff #46 #143) -#141 := (iff #45 #140) -#138 := (= #44 #137) -#135 := (= #43 #134) -#132 := (= #42 #131) -#129 := (= #41 #126) -#123 := (- #120) -#127 := (= #123 #126) -#128 := [rewrite]: #127 -#124 := (= #41 #123) -#121 := (= #40 #120) -#102 := (= #31 #101) -#103 := [rewrite]: #102 -#99 := (= #30 #98) -#100 := [rewrite]: #99 -#122 := [monotonicity #100 #103]: #121 -#125 := [monotonicity #122]: #124 -#130 := [trans #125 #128]: #129 -#95 := (iff #28 #94) -#92 := (iff #27 #91) -#77 := (iff #24 #76) -#78 := [rewrite]: #77 -#84 := (iff #26 #83) -#88 := (iff #83 #83) -#86 := (iff #82 #82) -#87 := [rewrite]: #86 -#89 := [monotonicity #87]: #88 -#85 := [rewrite]: #84 -#90 := [trans #85 #89]: #84 -#93 := [monotonicity #90 #78]: #92 -#80 := (iff #25 #79) -#73 := (iff #23 #72) -#74 := [rewrite]: #73 -#81 := [monotonicity #74 #78]: #80 -#96 := [monotonicity #81 #93]: #95 -#133 := [monotonicity #96 #130]: #132 -#136 := [monotonicity #133]: #135 -#139 := [monotonicity #136]: #138 -#142 := [monotonicity #139]: #141 -#145 := [quant-intro #142]: #144 -#50 := [asserted]: #46 -#146 := [mp #50 #145]: #143 -#211 := [mp #146 #210]: #208 -#219 := [mp~ #211 #218]: #208 -#259 := [mp #219 #258]: #256 -#290 := [mp #259 #289]: #287 -#718 := [mp #290 #717]: #713 -#671 := (not #713) -#660 := (or #671 #387) -#368 := (* -1::Int 3::Int) -#700 := (mod #367 #368) -#701 := (+ #11 #700) -#702 := (= #701 0::Int) -#380 := (<= 3::Int 0::Int) -#383 := (or #379 #380) -#362 := (not #383) -#381 := (or #369 #380) -#382 := (not #381) -#697 := (or #382 #362) -#703 := (if #697 #693 #702) -#698 := (if #377 #378 #703) -#376 := (= #11 f6) -#291 := (= 3::Int 0::Int) -#704 := (if #291 #376 #698) -#661 := (or #671 #704) -#657 := (iff #661 #660) -#663 := (iff #660 #660) -#664 := [rewrite]: #663 -#670 := (iff #704 #387) -#390 := (if false #376 #387) -#384 := (iff #390 #387) -#666 := [rewrite]: #384 -#668 := (iff #704 #390) -#388 := (iff #698 #387) -#673 := (iff #703 #676) -#398 := (iff #702 #397) -#674 := (= #701 #297) -#403 := (= #700 #402) -#679 := (= #368 -3::Int) -#401 := [rewrite]: #679 -#404 := [monotonicity #401]: #403 -#675 := [monotonicity #404]: #674 -#672 := [monotonicity #675]: #398 -#689 := (iff #697 #691) -#330 := (iff #362 #690) -#325 := (iff #383 #379) -#684 := (or #379 false) -#681 := (iff #684 #379) -#687 := [rewrite]: #681 -#685 := (iff #383 #684) -#359 := (iff #380 false) -#695 := [rewrite]: #359 -#686 := [monotonicity #695]: #685 -#688 := [trans #686 #687]: #325 -#331 := [monotonicity #688]: #330 -#682 := (iff #382 #346) -#344 := (iff #381 #369) -#355 := (or #369 false) -#680 := (iff #355 #369) -#343 := [rewrite]: #680 -#696 := (iff #381 #355) -#339 := [monotonicity #695]: #696 -#345 := [trans #339 #343]: #344 -#683 := [monotonicity #345]: #682 -#692 := [monotonicity #683 #331]: #689 -#677 := [monotonicity #692 #672]: #673 -#389 := [monotonicity #677]: #388 -#694 := (iff #291 false) -#354 := [rewrite]: #694 -#669 := [monotonicity #354 #389]: #668 -#667 := [trans #669 #666]: #670 -#658 := [monotonicity #667]: #657 -#659 := [trans #658 #664]: #657 -#662 := [quant-inst #8 #10]: #661 -#665 := [mp #662 #659]: #660 -#621 := [unit-resolution #665 #718]: #387 -#489 := (not #377) -#530 := (not #387) -#633 := (or #530 #489) -#638 := (not #378) -#506 := (<= #11 0::Int) -#627 := (not #506) -#545 := (not #167) -#546 := (or #627 #545) -#639 := [th-lemma arith farkas 1 1]: #546 -#636 := [unit-resolution #639 #169]: #627 -#618 := (or #638 #506) -#620 := [th-lemma arith triangle-eq]: #618 -#628 := [unit-resolution #620 #636]: #638 -#637 := (or #530 #489 #378) -#539 := [def-axiom]: #637 -#609 := [unit-resolution #539 #628]: #633 -#589 := [unit-resolution #609 #621]: #489 -#634 := (or #530 #377 #676) -#635 := [def-axiom]: #634 -#590 := [unit-resolution #635 #589 #621]: #676 -#485 := (not #676) -#487 := (or #485 #653 #693) -#488 := [def-axiom]: #487 -#593 := [unit-resolution #488 #590]: #592 -#630 := [unit-resolution #593 #629]: #653 -#508 := (or #691 #369) -#650 := [def-axiom]: #508 -#631 := [unit-resolution #650 #630]: #369 -#651 := (or #691 #379) -#652 := [def-axiom]: #651 -#601 := [unit-resolution #652 #630]: #379 -#591 := (or #377 #346 #690) -#602 := [th-lemma arith triangle-eq]: #591 -#580 := [unit-resolution #602 #589]: #691 -[unit-resolution #580 #601 #631]: false -1a816085b7feac64dcd1be391f3e9629f980d336 343 0 -unsat +#180 := (iff #46 #177) +#150 := (if #28 #39 #145) +#153 := (if #20 0::Int #150) +#156 := (if #21 #15 #153) +#159 := (= #38 #156) +#162 := (forall (vars (?v0 Int) (?v1 Int)) #159) +#178 := (iff #162 #177) +#175 := (iff #159 #174) +#172 := (= #156 #171) +#169 := (= #153 #168) +#166 := (= #150 #165) +#121 := (iff #28 #120) +#118 := (iff #27 #117) +#108 := (iff #24 #107) +#109 := [rewrite]: #108 +#115 := (iff #26 #114) +#116 := [rewrite]: #115 +#119 := [monotonicity #116 #109]: #118 +#111 := (iff #25 #110) +#104 := (iff #23 #103) +#105 := [rewrite]: #104 +#112 := [monotonicity #105 #109]: #111 +#122 := [monotonicity #112 #119]: #121 +#167 := [monotonicity #122]: #166 +#170 := [monotonicity #167]: #169 +#173 := [monotonicity #170]: #172 +#176 := [monotonicity #173]: #175 +#179 := [quant-intro #176]: #178 +#163 := (iff #46 #162) +#160 := (iff #45 #159) +#157 := (= #44 #156) +#154 := (= #43 #153) +#151 := (= #42 #150) +#148 := (= #41 #145) +#142 := (- #139) +#146 := (= #142 #145) +#147 := [rewrite]: #146 +#143 := (= #41 #142) +#140 := (= #40 #139) +#85 := (= #31 #84) +#86 := [rewrite]: #85 +#82 := (= #30 #81) +#83 := [rewrite]: #82 +#141 := [monotonicity #83 #86]: #140 +#144 := [monotonicity #141]: #143 +#149 := [trans #144 #147]: #148 +#152 := [monotonicity #149]: #151 +#155 := [monotonicity #152]: #154 +#158 := [monotonicity #155]: #157 +#161 := [monotonicity #158]: #160 +#164 := [quant-intro #161]: #163 +#181 := [trans #164 #179]: #180 +#138 := [asserted]: #46 +#182 := [mp #138 #181]: #177 +#185 := [mp~ #182 #189]: #177 +#233 := [mp #185 #232]: #230 +#264 := [mp #233 #263]: #261 +#752 := [mp #264 #751]: #747 +#705 := (not #747) +#694 := (or #705 #421) +#402 := (* -1::Int 3::Int) +#734 := (mod #401 #402) +#735 := (+ #11 #734) +#736 := (= #735 0::Int) +#414 := (<= 3::Int 0::Int) +#417 := (or #413 #414) +#396 := (not #417) +#415 := (or #403 #414) +#416 := (not #415) +#731 := (or #416 #396) +#737 := (if #731 #727 #736) +#732 := (if #411 #412 #737) +#410 := (= #11 f6) +#326 := (= 3::Int 0::Int) +#738 := (if #326 #410 #732) +#695 := (or #705 #738) +#691 := (iff #695 #694) +#697 := (iff #694 #694) +#698 := [rewrite]: #697 +#704 := (iff #738 #421) +#424 := (if false #410 #421) +#418 := (iff #424 #421) +#700 := [rewrite]: #418 +#702 := (iff #738 #424) +#422 := (iff #732 #421) +#707 := (iff #737 #710) +#432 := (iff #736 #431) +#708 := (= #735 #332) +#437 := (= #734 #436) +#713 := (= #402 -3::Int) +#435 := [rewrite]: #713 +#438 := [monotonicity #435]: #437 +#709 := [monotonicity #438]: #708 +#706 := [monotonicity #709]: #432 +#723 := (iff #731 #725) +#364 := (iff #396 #724) +#359 := (iff #417 #413) +#718 := (or #413 false) +#715 := (iff #718 #413) +#721 := [rewrite]: #715 +#719 := (iff #417 #718) +#393 := (iff #414 false) +#729 := [rewrite]: #393 +#720 := [monotonicity #729]: #719 +#722 := [trans #720 #721]: #359 +#365 := [monotonicity #722]: #364 +#716 := (iff #416 #380) +#378 := (iff #415 #403) +#389 := (or #403 false) +#714 := (iff #389 #403) +#377 := [rewrite]: #714 +#730 := (iff #415 #389) +#373 := [monotonicity #729]: #730 +#379 := [trans #373 #377]: #378 +#717 := [monotonicity #379]: #716 +#726 := [monotonicity #717 #365]: #723 +#711 := [monotonicity #726 #706]: #707 +#423 := [monotonicity #711]: #422 +#728 := (iff #326 false) +#388 := [rewrite]: #728 +#703 := [monotonicity #388 #423]: #702 +#701 := [trans #703 #700]: #704 +#692 := [monotonicity #701]: #691 +#693 := [trans #692 #698]: #691 +#696 := [quant-inst #8 #10]: #695 +#699 := [mp #696 #693]: #694 +#627 := [unit-resolution #699 #752]: #421 +#523 := (not #411) +#564 := (not #421) +#617 := (or #564 #523) +#672 := (not #412) +#540 := (<= #11 0::Int) +#628 := (not #540) +#665 := (or #628 #69) +#666 := [th-lemma arith farkas 1 1]: #665 +#625 := [unit-resolution #666 #80]: #628 +#636 := (or #672 #540) +#614 := [th-lemma arith triangle-eq]: #636 +#615 := [unit-resolution #614 #625]: #672 +#671 := (or #564 #523 #412) +#573 := [def-axiom]: #671 +#618 := [unit-resolution #573 #615]: #617 +#619 := [unit-resolution #618 #627]: #523 +#668 := (or #564 #411 #710) +#669 := [def-axiom]: #668 +#620 := [unit-resolution #669 #619 #627]: #710 +#519 := (not #710) +#521 := (or #519 #687 #727) +#522 := [def-axiom]: #521 +#616 := [unit-resolution #522 #620]: #621 +#622 := [unit-resolution #616 #626]: #687 +#542 := (or #725 #403) +#684 := [def-axiom]: #542 +#608 := [unit-resolution #684 #622]: #403 +#685 := (or #725 #413) +#686 := [def-axiom]: #685 +#604 := [unit-resolution #686 #622]: #413 +#605 := (or #411 #380 #724) +#606 := [th-lemma arith triangle-eq]: #605 +#609 := [unit-resolution #606 #619]: #725 +[unit-resolution #609 #604 #608]: false +unsat +cbbba807c2c13814c06e13ca075bfb5d6e46a98c 320 0 #2 := false #10 := 3::Int decl f6 :: Int #8 := f6 -#706 := (mod f6 3::Int) -#625 := (>= #706 3::Int) -#621 := (not #625) -#1 := true -#173 := [true-axiom]: true -#607 := (or false #621) -#608 := [th-lemma arith]: #607 -#609 := [unit-resolution #608 #173]: #621 +#743 := (mod f6 3::Int) +#658 := (>= #743 3::Int) +#663 := (not #658) +#1 := true +#66 := [true-axiom]: true +#645 := (or false #663) +#646 := [th-lemma arith]: #645 +#647 := [unit-resolution #646 #66]: #663 #21 := 0::Int decl f3 :: (-> S2 Int Int) decl f4 :: (-> S3 Int S2) @@ -41612,170 +38982,137 @@ #7 := f5 #9 := (f4 f5 f6) #11 := (f3 #9 3::Int) -#106 := -1::Int -#601 := (* -1::Int #11) -#602 := (+ f6 #601) -#603 := (<= #602 0::Int) -#599 := (= f6 #11) +#92 := -1::Int +#639 := (* -1::Int #11) +#640 := (+ f6 #639) +#641 := (<= #640 0::Int) +#638 := (= f6 #11) #12 := (= #11 f6) -#56 := (<= 3::Int f6) -#57 := (not #56) -#68 := (not #12) -#69 := (or #68 #57) -#74 := (not #69) +#78 := (>= f6 3::Int) +#76 := (not #78) +#69 := (not #12) +#80 := (or #69 #76) +#83 := (not #80) #13 := (< f6 3::Int) #14 := (implies #12 #13) #15 := (not #14) -#75 := (iff #15 #74) -#72 := (iff #14 #69) -#65 := (implies #12 #57) -#70 := (iff #65 #69) -#71 := [rewrite]: #70 -#66 := (iff #14 #65) -#58 := (iff #13 #57) -#62 := (iff #57 #57) -#60 := (iff #56 #56) -#61 := [rewrite]: #60 -#63 := [monotonicity #61]: #62 -#59 := [rewrite]: #58 -#64 := [trans #59 #63]: #58 -#67 := [monotonicity #64]: #66 -#73 := [trans #67 #71]: #72 -#76 := [monotonicity #73]: #75 -#50 := [asserted]: #15 -#77 := [mp #50 #76]: #74 -#78 := [not-or-elim #77]: #12 -#610 := [symm #78]: #599 -#600 := (not #599) -#611 := (or #600 #603) -#589 := [th-lemma arith triangle-eq]: #611 -#590 := [unit-resolution #589 #610]: #603 -#217 := (>= f6 3::Int) -#175 := (iff #56 #217) -#218 := [rewrite]: #175 -#79 := [not-or-elim #77]: #56 -#219 := [mp #79 #218]: #217 -#708 := (* -1::Int #706) -#365 := (+ #11 #708) -#662 := (<= #365 0::Int) -#495 := (= #365 0::Int) -#701 := -3::Int -#702 := (* -1::Int f6) -#410 := (mod #702 -3::Int) -#413 := (+ #11 #410) -#684 := (= #413 0::Int) -#391 := (>= f6 0::Int) -#697 := (not #391) -#387 := (<= f6 0::Int) -#354 := (not #387) -#340 := (or #354 #697) -#681 := (if #340 #495 #684) -#386 := (= #11 0::Int) -#385 := (= f6 0::Int) -#686 := (if #385 #386 #681) +#86 := (iff #15 #83) +#70 := (or #69 #13) +#73 := (not #70) +#84 := (iff #73 #83) +#81 := (iff #70 #80) +#77 := (iff #13 #76) +#79 := [rewrite]: #77 +#82 := [monotonicity #79]: #81 +#85 := [monotonicity #82]: #84 +#74 := (iff #15 #73) +#71 := (iff #14 #70) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#87 := [trans #75 #85]: #86 +#68 := [asserted]: #15 +#88 := [mp #68 #87]: #83 +#89 := [not-or-elim #88]: #12 +#637 := [symm #89]: #638 +#648 := (not #638) +#626 := (or #648 #641) +#627 := [th-lemma arith triangle-eq]: #626 +#629 := [unit-resolution #627 #637]: #641 +#90 := [not-or-elim #88]: #78 +#745 := (* -1::Int #743) +#402 := (+ #11 #745) +#699 := (<= #402 0::Int) +#532 := (= #402 0::Int) +#738 := -3::Int +#739 := (* -1::Int f6) +#447 := (mod #739 -3::Int) +#450 := (+ #11 #447) +#721 := (= #450 0::Int) +#428 := (>= f6 0::Int) +#734 := (not #428) +#424 := (<= f6 0::Int) +#391 := (not #424) +#377 := (or #391 #734) +#718 := (if #377 #532 #721) +#423 := (= #11 0::Int) +#422 := (= f6 0::Int) +#723 := (if #422 #423 #718) #19 := (:var 0 Int) #17 := (:var 1 Int) #39 := (f4 f5 #17) #40 := (f3 #39 #19) -#721 := (pattern #40) -#110 := (* -1::Int #19) -#107 := (* -1::Int #17) -#129 := (mod #107 #110) -#289 := (+ #40 #129) -#290 := (= #289 0::Int) +#758 := (pattern #40) +#96 := (* -1::Int #19) +#93 := (* -1::Int #17) +#151 := (mod #93 #96) +#266 := (+ #40 #151) +#267 := (= #266 0::Int) #41 := (mod #17 #19) -#286 := (* -1::Int #41) -#287 := (+ #40 #286) -#288 := (= #287 0::Int) -#84 := (<= #19 0::Int) -#176 := (>= #17 0::Int) -#233 := (or #176 #84) -#234 := (not #233) -#80 := (<= #17 0::Int) -#231 := (or #80 #84) -#232 := (not #231) -#237 := (or #232 #234) -#291 := (if #237 #288 #290) -#285 := (= #40 0::Int) +#263 := (* -1::Int #41) +#264 := (+ #40 #263) +#265 := (= #264 0::Int) +#118 := (<= #19 0::Int) +#125 := (>= #17 0::Int) +#210 := (or #125 #118) +#211 := (not #210) +#114 := (<= #17 0::Int) +#196 := (or #114 #118) +#197 := (not #196) +#214 := (or #197 #211) +#268 := (if #214 #265 #267) +#262 := (= #40 0::Int) #22 := (= #17 0::Int) -#292 := (if #22 #285 #291) -#284 := (= #40 #17) +#269 := (if #22 #262 #268) +#261 := (= #40 #17) #23 := (= #19 0::Int) -#293 := (if #23 #284 #292) -#722 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #721) #293) -#296 := (forall (vars (?v0 Int) (?v1 Int)) #293) -#725 := (iff #296 #722) -#723 := (iff #293 #293) -#724 := [refl]: #723 -#726 := [quant-intro #724]: #725 -#135 := (* -1::Int #129) -#253 := (if #237 #41 #135) -#256 := (if #22 0::Int #253) -#259 := (if #23 #17 #256) -#262 := (= #40 #259) -#265 := (forall (vars (?v0 Int) (?v1 Int)) #262) -#297 := (iff #265 #296) -#294 := (iff #262 #293) -#295 := [rewrite]: #294 -#298 := [quant-intro #295]: #297 -#85 := (not #84) -#179 := (not #176) -#182 := (and #179 #85) -#81 := (not #80) -#88 := (and #81 #85) -#185 := (or #88 #182) -#201 := (if #185 #41 #135) -#204 := (if #22 0::Int #201) -#207 := (if #23 #17 #204) -#210 := (= #40 #207) -#213 := (forall (vars (?v0 Int) (?v1 Int)) #210) -#266 := (iff #213 #265) -#263 := (iff #210 #262) -#260 := (= #207 #259) -#257 := (= #204 #256) -#254 := (= #201 #253) -#238 := (iff #185 #237) -#235 := (iff #182 #234) -#236 := [rewrite]: #235 -#229 := (iff #88 #232) -#230 := [rewrite]: #229 -#239 := [monotonicity #230 #236]: #238 -#255 := [monotonicity #239]: #254 -#258 := [monotonicity #255]: #257 -#261 := [monotonicity #258]: #260 -#264 := [monotonicity #261]: #263 -#267 := [quant-intro #264]: #266 -#226 := (~ #213 #213) -#228 := (~ #210 #210) -#225 := [refl]: #228 -#221 := [nnf-pos #225]: #226 -#91 := (<= 0::Int #17) -#92 := (not #91) -#100 := (and #92 #85) -#103 := (or #88 #100) -#140 := (if #103 #41 #135) -#143 := (if #22 0::Int #140) -#146 := (if #23 #17 #143) -#149 := (= #40 #146) -#152 := (forall (vars (?v0 Int) (?v1 Int)) #149) -#214 := (iff #152 #213) -#211 := (iff #149 #210) -#208 := (= #146 #207) -#205 := (= #143 #204) -#202 := (= #140 #201) -#186 := (iff #103 #185) -#183 := (iff #100 #182) -#180 := (iff #92 #179) -#177 := (iff #91 #176) -#178 := [rewrite]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#203 := [monotonicity #187]: #202 -#206 := [monotonicity #203]: #205 -#209 := [monotonicity #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [quant-intro #212]: #214 +#270 := (if #23 #261 #269) +#759 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #758) #270) +#273 := (forall (vars (?v0 Int) (?v1 Int)) #270) +#762 := (iff #273 #759) +#760 := (iff #270 #270) +#761 := [refl]: #760 +#763 := [quant-intro #761]: #762 +#157 := (* -1::Int #151) +#230 := (if #214 #41 #157) +#233 := (if #22 0::Int #230) +#236 := (if #23 #17 #233) +#239 := (= #40 #236) +#242 := (forall (vars (?v0 Int) (?v1 Int)) #239) +#274 := (iff #242 #273) +#271 := (iff #239 #270) +#272 := [rewrite]: #271 +#275 := [quant-intro #272]: #274 +#119 := (not #118) +#126 := (not #125) +#129 := (and #126 #119) +#115 := (not #114) +#122 := (and #115 #119) +#132 := (or #122 #129) +#177 := (if #132 #41 #157) +#180 := (if #22 0::Int #177) +#183 := (if #23 #17 #180) +#186 := (= #40 #183) +#189 := (forall (vars (?v0 Int) (?v1 Int)) #186) +#243 := (iff #189 #242) +#240 := (iff #186 #239) +#237 := (= #183 #236) +#234 := (= #180 #233) +#231 := (= #177 #230) +#215 := (iff #132 #214) +#212 := (iff #129 #211) +#213 := [rewrite]: #212 +#204 := (iff #122 #197) +#205 := [rewrite]: #204 +#216 := [monotonicity #205 #213]: #215 +#232 := [monotonicity #216]: #231 +#235 := [monotonicity #232]: #234 +#238 := [monotonicity #235]: #237 +#241 := [monotonicity #238]: #240 +#244 := [quant-intro #241]: #243 +#202 := (~ #189 #189) +#201 := (~ #186 #186) +#198 := [refl]: #201 +#203 := [nnf-pos #198]: #202 #33 := (- #19) #32 := (- #17) #42 := (mod #32 #33) @@ -41791,152 +39128,162 @@ #46 := (if #23 #17 #45) #47 := (= #40 #46) #48 := (forall (vars (?v0 Int) (?v1 Int)) #47) -#153 := (iff #48 #152) -#150 := (iff #47 #149) -#147 := (= #46 #146) -#144 := (= #45 #143) -#141 := (= #44 #140) -#138 := (= #43 #135) -#132 := (- #129) -#136 := (= #132 #135) -#137 := [rewrite]: #136 -#133 := (= #43 #132) -#130 := (= #42 #129) -#111 := (= #33 #110) -#112 := [rewrite]: #111 -#108 := (= #32 #107) -#109 := [rewrite]: #108 -#131 := [monotonicity #109 #112]: #130 -#134 := [monotonicity #131]: #133 -#139 := [trans #134 #137]: #138 -#104 := (iff #30 #103) -#101 := (iff #29 #100) -#86 := (iff #26 #85) -#87 := [rewrite]: #86 -#93 := (iff #28 #92) -#97 := (iff #92 #92) -#95 := (iff #91 #91) -#96 := [rewrite]: #95 -#98 := [monotonicity #96]: #97 -#94 := [rewrite]: #93 -#99 := [trans #94 #98]: #93 -#102 := [monotonicity #99 #87]: #101 -#89 := (iff #27 #88) -#82 := (iff #25 #81) -#83 := [rewrite]: #82 -#90 := [monotonicity #83 #87]: #89 -#105 := [monotonicity #90 #102]: #104 -#142 := [monotonicity #105 #139]: #141 -#145 := [monotonicity #142]: #144 -#148 := [monotonicity #145]: #147 -#151 := [monotonicity #148]: #150 -#154 := [quant-intro #151]: #153 -#52 := [asserted]: #48 -#155 := [mp #52 #154]: #152 -#216 := [mp #155 #215]: #213 -#222 := [mp~ #216 #221]: #213 -#268 := [mp #222 #267]: #265 -#299 := [mp #268 #298]: #296 -#727 := [mp #299 #726]: #722 -#676 := (not #722) -#680 := (or #676 #686) -#376 := (* -1::Int 3::Int) -#377 := (mod #702 #376) -#709 := (+ #11 #377) -#710 := (= #709 0::Int) -#378 := (<= 3::Int 0::Int) -#388 := (or #391 #378) -#392 := (not #388) -#389 := (or #387 #378) -#390 := (not #389) -#371 := (or #390 #392) -#711 := (if #371 #495 #710) -#712 := (if #385 #386 #711) -#300 := (= 3::Int 0::Int) -#707 := (if #300 #12 #712) -#669 := (or #676 #707) -#671 := (iff #669 #680) -#667 := (iff #680 #680) -#672 := [rewrite]: #667 -#675 := (iff #707 #686) -#398 := (if false #12 #686) -#678 := (iff #398 #686) -#393 := [rewrite]: #678 -#399 := (iff #707 #398) -#396 := (iff #712 #686) -#685 := (iff #711 #681) -#406 := (iff #710 #684) -#306 := (= #709 #413) -#411 := (= #377 #410) -#687 := (= #376 -3::Int) -#688 := [rewrite]: #687 -#412 := [monotonicity #688]: #411 -#683 := [monotonicity #412]: #306 -#407 := [monotonicity #683]: #406 -#700 := (iff #371 #340) -#699 := (iff #392 #697) -#696 := (iff #388 #391) -#692 := (or #391 false) -#695 := (iff #692 #391) -#690 := [rewrite]: #695 -#693 := (iff #388 #692) -#363 := (iff #378 false) -#368 := [rewrite]: #363 -#694 := [monotonicity #368]: #693 -#334 := [trans #694 #690]: #696 -#339 := [monotonicity #334]: #699 -#355 := (iff #390 #354) -#352 := (iff #389 #387) -#704 := (or #387 false) -#348 := (iff #704 #387) -#689 := [rewrite]: #348 -#364 := (iff #389 #704) -#705 := [monotonicity #368]: #364 -#353 := [trans #705 #689]: #352 -#691 := [monotonicity #353]: #355 -#698 := [monotonicity #691 #339]: #700 -#682 := [monotonicity #698 #407]: #685 -#397 := [monotonicity #682]: #396 -#713 := (iff #300 false) -#703 := [rewrite]: #713 -#677 := [monotonicity #703 #397]: #399 -#679 := [trans #677 #393]: #675 -#666 := [monotonicity #679]: #671 -#673 := [trans #666 #672]: #671 -#670 := [quant-inst #8 #10]: #669 -#668 := [mp #670 #673]: #680 -#592 := [unit-resolution #668 #727]: #686 -#655 := (not #686) -#579 := (or #655 #681) -#537 := (not #385) -#593 := (not #217) -#594 := (or #354 #593) -#595 := [th-lemma arith farkas 1 1]: #594 -#596 := [unit-resolution #595 #219]: #354 -#591 := (or #537 #387) -#597 := [th-lemma arith triangle-eq]: #591 -#583 := [unit-resolution #597 #596]: #537 -#498 := (or #655 #385 #681) -#646 := [def-axiom]: #498 -#580 := [unit-resolution #646 #583]: #579 -#581 := [unit-resolution #580 #592]: #681 -#664 := (not #681) -#585 := (or #664 #495) -#674 := (or #340 #387) -#515 := [def-axiom]: #674 -#584 := [unit-resolution #515 #596]: #340 -#659 := (not #340) -#658 := (or #664 #659 #495) -#665 := [def-axiom]: #658 -#586 := [unit-resolution #665 #584]: #585 -#587 := [unit-resolution #586 #581]: #495 -#497 := (not #495) -#582 := (or #497 #662) -#588 := [th-lemma arith triangle-eq]: #582 -#561 := [unit-resolution #588 #587]: #662 -[th-lemma arith farkas 1 -1 1 1 #561 #219 #590 #609]: false -84faad2fa160ef59638bbef257c0b4c92bf64f96 569 0 -unsat +#192 := (iff #48 #189) +#162 := (if #30 #41 #157) +#165 := (if #22 0::Int #162) +#168 := (if #23 #17 #165) +#171 := (= #40 #168) +#174 := (forall (vars (?v0 Int) (?v1 Int)) #171) +#190 := (iff #174 #189) +#187 := (iff #171 #186) +#184 := (= #168 #183) +#181 := (= #165 #180) +#178 := (= #162 #177) +#133 := (iff #30 #132) +#130 := (iff #29 #129) +#120 := (iff #26 #119) +#121 := [rewrite]: #120 +#127 := (iff #28 #126) +#128 := [rewrite]: #127 +#131 := [monotonicity #128 #121]: #130 +#123 := (iff #27 #122) +#116 := (iff #25 #115) +#117 := [rewrite]: #116 +#124 := [monotonicity #117 #121]: #123 +#134 := [monotonicity #124 #131]: #133 +#179 := [monotonicity #134]: #178 +#182 := [monotonicity #179]: #181 +#185 := [monotonicity #182]: #184 +#188 := [monotonicity #185]: #187 +#191 := [quant-intro #188]: #190 +#175 := (iff #48 #174) +#172 := (iff #47 #171) +#169 := (= #46 #168) +#166 := (= #45 #165) +#163 := (= #44 #162) +#160 := (= #43 #157) +#154 := (- #151) +#158 := (= #154 #157) +#159 := [rewrite]: #158 +#155 := (= #43 #154) +#152 := (= #42 #151) +#97 := (= #33 #96) +#98 := [rewrite]: #97 +#94 := (= #32 #93) +#95 := [rewrite]: #94 +#153 := [monotonicity #95 #98]: #152 +#156 := [monotonicity #153]: #155 +#161 := [trans #156 #159]: #160 +#164 := [monotonicity #161]: #163 +#167 := [monotonicity #164]: #166 +#170 := [monotonicity #167]: #169 +#173 := [monotonicity #170]: #172 +#176 := [quant-intro #173]: #175 +#193 := [trans #176 #191]: #192 +#150 := [asserted]: #48 +#194 := [mp #150 #193]: #189 +#199 := [mp~ #194 #203]: #189 +#245 := [mp #199 #244]: #242 +#276 := [mp #245 #275]: #273 +#764 := [mp #276 #763]: #759 +#713 := (not #759) +#717 := (or #713 #723) +#413 := (* -1::Int 3::Int) +#414 := (mod #739 #413) +#746 := (+ #11 #414) +#747 := (= #746 0::Int) +#415 := (<= 3::Int 0::Int) +#425 := (or #428 #415) +#429 := (not #425) +#426 := (or #424 #415) +#427 := (not #426) +#408 := (or #427 #429) +#748 := (if #408 #532 #747) +#749 := (if #422 #423 #748) +#338 := (= 3::Int 0::Int) +#744 := (if #338 #12 #749) +#706 := (or #713 #744) +#708 := (iff #706 #717) +#704 := (iff #717 #717) +#709 := [rewrite]: #704 +#712 := (iff #744 #723) +#435 := (if false #12 #723) +#715 := (iff #435 #723) +#430 := [rewrite]: #715 +#436 := (iff #744 #435) +#433 := (iff #749 #723) +#722 := (iff #748 #718) +#443 := (iff #747 #721) +#344 := (= #746 #450) +#448 := (= #414 #447) +#724 := (= #413 -3::Int) +#725 := [rewrite]: #724 +#449 := [monotonicity #725]: #448 +#720 := [monotonicity #449]: #344 +#444 := [monotonicity #720]: #443 +#737 := (iff #408 #377) +#736 := (iff #429 #734) +#733 := (iff #425 #428) +#729 := (or #428 false) +#732 := (iff #729 #428) +#727 := [rewrite]: #732 +#730 := (iff #425 #729) +#400 := (iff #415 false) +#405 := [rewrite]: #400 +#731 := [monotonicity #405]: #730 +#371 := [trans #731 #727]: #733 +#376 := [monotonicity #371]: #736 +#392 := (iff #427 #391) +#389 := (iff #426 #424) +#741 := (or #424 false) +#385 := (iff #741 #424) +#726 := [rewrite]: #385 +#401 := (iff #426 #741) +#742 := [monotonicity #405]: #401 +#390 := [trans #742 #726]: #389 +#728 := [monotonicity #390]: #392 +#735 := [monotonicity #728 #376]: #737 +#719 := [monotonicity #735 #444]: #722 +#434 := [monotonicity #719]: #433 +#750 := (iff #338 false) +#740 := [rewrite]: #750 +#714 := [monotonicity #740 #434]: #436 +#716 := [trans #714 #430]: #712 +#703 := [monotonicity #716]: #708 +#710 := [trans #703 #709]: #708 +#707 := [quant-inst #8 #10]: #706 +#705 := [mp #707 #710]: #717 +#630 := [unit-resolution #705 #764]: #723 +#692 := (not #723) +#616 := (or #692 #718) +#574 := (not #422) +#631 := (or #391 #76) +#632 := [th-lemma arith farkas 1 1]: #631 +#633 := [unit-resolution #632 #90]: #391 +#628 := (or #574 #424) +#634 := [th-lemma arith triangle-eq]: #628 +#620 := [unit-resolution #634 #633]: #574 +#535 := (or #692 #422 #718) +#683 := [def-axiom]: #535 +#617 := [unit-resolution #683 #620]: #616 +#618 := [unit-resolution #617 #630]: #718 +#701 := (not #718) +#622 := (or #701 #532) +#711 := (or #377 #424) +#552 := [def-axiom]: #711 +#621 := [unit-resolution #552 #633]: #377 +#696 := (not #377) +#695 := (or #701 #696 #532) +#702 := [def-axiom]: #695 +#623 := [unit-resolution #702 #621]: #622 +#624 := [unit-resolution #623 #618]: #532 +#534 := (not #532) +#619 := (or #534 #699) +#625 := [th-lemma arith triangle-eq]: #619 +#598 := [unit-resolution #625 #624]: #699 +[th-lemma arith farkas 1 -1 1 1 #598 #90 #629 #647]: false +unsat +2f21051636feadbefcb468a259b1c1e30b5de4ad 556 0 #2 := false #23 := 0::Int decl f4 :: (-> S2 Int Int) @@ -41948,136 +39295,110 @@ #13 := f7 #14 := (f5 f7 f3) #15 := (f4 #14 1::Int) -#96 := -1::Int -#167 := (* -1::Int #15) +#82 := -1::Int +#84 := (* -1::Int #15) decl f6 :: S3 #8 := f6 #9 := (f5 f6 f3) #11 := (f4 #9 1::Int) -#166 := (* -1::Int #11) -#168 := (+ f3 #166 #167) -#380 := (>= #168 0::Int) -#576 := (<= #15 0::Int) -#640 := (= #15 0::Int) -#381 := (= f3 0::Int) -#527 := (not #381) -#558 := (not #640) -#499 := [hypothesis]: #558 -#535 := (or #527 #640) -#704 := (* -1::Int f3) -#645 := (mod #704 -1::Int) -#612 := (+ #15 #645) -#593 := (= #612 0::Int) -#366 := (>= f3 0::Int) -#406 := (not #366) -#385 := (<= f3 0::Int) -#692 := (not #385) -#302 := (or #692 #406) -#597 := (if #302 #640 #593) -#600 := (if #381 #640 #597) +#83 := (* -1::Int #11) +#85 := (+ #83 #84) +#86 := (+ f3 #85) +#426 := (>= #86 0::Int) +#622 := (<= #15 0::Int) +#686 := (= #15 0::Int) +#427 := (= f3 0::Int) +#573 := (not #427) +#604 := (not #686) +#545 := [hypothesis]: #604 +#581 := (or #573 #686) +#750 := (* -1::Int f3) +#691 := (mod #750 -1::Int) +#658 := (+ #15 #691) +#639 := (= #658 0::Int) +#412 := (>= f3 0::Int) +#452 := (not #412) +#431 := (<= f3 0::Int) +#738 := (not #431) +#348 := (or #738 #452) +#643 := (if #348 #686 #639) +#646 := (if #427 #686 #643) #21 := (:var 0 Int) #19 := (:var 1 Int) #41 := (f5 f7 #19) #42 := (f4 #41 #21) -#716 := (pattern #42) +#762 := (pattern #42) #100 := (* -1::Int #21) #97 := (* -1::Int #19) -#119 := (mod #97 #100) -#285 := (+ #42 #119) -#286 := (= #285 0::Int) +#155 := (mod #97 #100) +#270 := (+ #42 #155) +#271 := (= #270 0::Int) #43 := (mod #19 #21) -#282 := (* -1::Int #43) -#283 := (+ #42 #282) -#284 := (= #283 0::Int) -#74 := (<= #21 0::Int) -#176 := (>= #19 0::Int) -#229 := (or #176 #74) -#230 := (not #229) -#70 := (<= #19 0::Int) -#225 := (or #70 #74) -#226 := (not #225) -#233 := (or #226 #230) -#287 := (if #233 #284 #286) -#281 := (= #42 0::Int) +#267 := (* -1::Int #43) +#268 := (+ #42 #267) +#269 := (= #268 0::Int) +#122 := (<= #21 0::Int) +#129 := (>= #19 0::Int) +#214 := (or #129 #122) +#215 := (not #214) +#118 := (<= #19 0::Int) +#212 := (or #118 #122) +#213 := (not #212) +#218 := (or #213 #215) +#272 := (if #218 #269 #271) +#266 := (= #42 0::Int) #24 := (= #19 0::Int) -#288 := (if #24 #281 #287) -#280 := (= #42 #19) +#273 := (if #24 #266 #272) +#265 := (= #42 #19) #25 := (= #21 0::Int) -#289 := (if #25 #280 #288) -#717 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #716) #289) -#292 := (forall (vars (?v0 Int) (?v1 Int)) #289) -#720 := (iff #292 #717) -#718 := (iff #289 #289) -#719 := [refl]: #718 -#721 := [quant-intro #719]: #720 -#125 := (* -1::Int #119) -#249 := (if #233 #43 #125) -#252 := (if #24 0::Int #249) -#255 := (if #25 #19 #252) -#258 := (= #42 #255) -#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) -#293 := (iff #261 #292) -#290 := (iff #258 #289) -#291 := [rewrite]: #290 -#294 := [quant-intro #291]: #293 -#75 := (not #74) -#179 := (not #176) -#182 := (and #179 #75) -#71 := (not #70) -#78 := (and #71 #75) -#185 := (or #78 #182) -#201 := (if #185 #43 #125) -#204 := (if #24 0::Int #201) -#207 := (if #25 #19 #204) -#210 := (= #42 #207) -#213 := (forall (vars (?v0 Int) (?v1 Int)) #210) -#262 := (iff #213 #261) -#259 := (iff #210 #258) -#256 := (= #207 #255) -#253 := (= #204 #252) -#250 := (= #201 #249) -#234 := (iff #185 #233) -#231 := (iff #182 #230) -#232 := [rewrite]: #231 -#227 := (iff #78 #226) -#228 := [rewrite]: #227 -#235 := [monotonicity #228 #232]: #234 -#251 := [monotonicity #235]: #250 -#254 := [monotonicity #251]: #253 -#257 := [monotonicity #254]: #256 -#260 := [monotonicity #257]: #259 -#263 := [quant-intro #260]: #262 -#165 := (~ #213 #213) -#218 := (~ #210 #210) -#164 := [refl]: #218 -#223 := [nnf-pos #164]: #165 -#81 := (<= 0::Int #19) -#82 := (not #81) -#90 := (and #82 #75) -#93 := (or #78 #90) -#130 := (if #93 #43 #125) -#133 := (if #24 0::Int #130) -#136 := (if #25 #19 #133) -#139 := (= #42 #136) -#142 := (forall (vars (?v0 Int) (?v1 Int)) #139) -#214 := (iff #142 #213) -#211 := (iff #139 #210) -#208 := (= #136 #207) -#205 := (= #133 #204) -#202 := (= #130 #201) -#186 := (iff #93 #185) -#183 := (iff #90 #182) -#180 := (iff #82 #179) -#177 := (iff #81 #176) -#178 := [rewrite]: #177 -#181 := [monotonicity #178]: #180 -#184 := [monotonicity #181]: #183 -#187 := [monotonicity #184]: #186 -#203 := [monotonicity #187]: #202 -#206 := [monotonicity #203]: #205 -#209 := [monotonicity #206]: #208 -#212 := [monotonicity #209]: #211 -#215 := [quant-intro #212]: #214 +#274 := (if #25 #265 #273) +#763 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #762) #274) +#277 := (forall (vars (?v0 Int) (?v1 Int)) #274) +#766 := (iff #277 #763) +#764 := (iff #274 #274) +#765 := [refl]: #764 +#767 := [quant-intro #765]: #766 +#161 := (* -1::Int #155) +#234 := (if #218 #43 #161) +#237 := (if #24 0::Int #234) +#240 := (if #25 #19 #237) +#243 := (= #42 #240) +#246 := (forall (vars (?v0 Int) (?v1 Int)) #243) +#278 := (iff #246 #277) +#275 := (iff #243 #274) +#276 := [rewrite]: #275 +#279 := [quant-intro #276]: #278 +#123 := (not #122) +#130 := (not #129) +#133 := (and #130 #123) +#119 := (not #118) +#126 := (and #119 #123) +#136 := (or #126 #133) +#181 := (if #136 #43 #161) +#184 := (if #24 0::Int #181) +#187 := (if #25 #19 #184) +#190 := (= #42 #187) +#193 := (forall (vars (?v0 Int) (?v1 Int)) #190) +#247 := (iff #193 #246) +#244 := (iff #190 #243) +#241 := (= #187 #240) +#238 := (= #184 #237) +#235 := (= #181 #234) +#219 := (iff #136 #218) +#216 := (iff #133 #215) +#217 := [rewrite]: #216 +#206 := (iff #126 #213) +#207 := [rewrite]: #206 +#220 := [monotonicity #207 #217]: #219 +#236 := [monotonicity #220]: #235 +#239 := [monotonicity #236]: #238 +#242 := [monotonicity #239]: #241 +#245 := [monotonicity #242]: #244 +#248 := [quant-intro #245]: #247 +#204 := (~ #193 #193) +#203 := (~ #190 #190) +#200 := [refl]: #203 +#205 := [nnf-pos #200]: #204 #35 := (- #21) #34 := (- #19) #44 := (mod #34 #35) @@ -42093,420 +39414,433 @@ #48 := (if #25 #19 #47) #49 := (= #42 #48) #50 := (forall (vars (?v0 Int) (?v1 Int)) #49) -#143 := (iff #50 #142) -#140 := (iff #49 #139) -#137 := (= #48 #136) -#134 := (= #47 #133) -#131 := (= #46 #130) -#128 := (= #45 #125) -#122 := (- #119) -#126 := (= #122 #125) -#127 := [rewrite]: #126 -#123 := (= #45 #122) -#120 := (= #44 #119) +#196 := (iff #50 #193) +#166 := (if #32 #43 #161) +#169 := (if #24 0::Int #166) +#172 := (if #25 #19 #169) +#175 := (= #42 #172) +#178 := (forall (vars (?v0 Int) (?v1 Int)) #175) +#194 := (iff #178 #193) +#191 := (iff #175 #190) +#188 := (= #172 #187) +#185 := (= #169 #184) +#182 := (= #166 #181) +#137 := (iff #32 #136) +#134 := (iff #31 #133) +#124 := (iff #28 #123) +#125 := [rewrite]: #124 +#131 := (iff #30 #130) +#132 := [rewrite]: #131 +#135 := [monotonicity #132 #125]: #134 +#127 := (iff #29 #126) +#120 := (iff #27 #119) +#121 := [rewrite]: #120 +#128 := [monotonicity #121 #125]: #127 +#138 := [monotonicity #128 #135]: #137 +#183 := [monotonicity #138]: #182 +#186 := [monotonicity #183]: #185 +#189 := [monotonicity #186]: #188 +#192 := [monotonicity #189]: #191 +#195 := [quant-intro #192]: #194 +#179 := (iff #50 #178) +#176 := (iff #49 #175) +#173 := (= #48 #172) +#170 := (= #47 #169) +#167 := (= #46 #166) +#164 := (= #45 #161) +#158 := (- #155) +#162 := (= #158 #161) +#163 := [rewrite]: #162 +#159 := (= #45 #158) +#156 := (= #44 #155) #101 := (= #35 #100) #102 := [rewrite]: #101 #98 := (= #34 #97) #99 := [rewrite]: #98 -#121 := [monotonicity #99 #102]: #120 -#124 := [monotonicity #121]: #123 -#129 := [trans #124 #127]: #128 -#94 := (iff #32 #93) -#91 := (iff #31 #90) -#76 := (iff #28 #75) -#77 := [rewrite]: #76 -#83 := (iff #30 #82) -#87 := (iff #82 #82) -#85 := (iff #81 #81) -#86 := [rewrite]: #85 -#88 := [monotonicity #86]: #87 -#84 := [rewrite]: #83 -#89 := [trans #84 #88]: #83 -#92 := [monotonicity #89 #77]: #91 -#79 := (iff #29 #78) -#72 := (iff #27 #71) -#73 := [rewrite]: #72 -#80 := [monotonicity #73 #77]: #79 -#95 := [monotonicity #80 #92]: #94 -#132 := [monotonicity #95 #129]: #131 -#135 := [monotonicity #132]: #134 -#138 := [monotonicity #135]: #137 -#141 := [monotonicity #138]: #140 -#144 := [quant-intro #141]: #143 -#54 := [asserted]: #50 -#145 := [mp #54 #144]: #142 -#216 := [mp #145 #215]: #213 -#224 := [mp~ #216 #223]: #213 -#264 := [mp #224 #263]: #261 -#295 := [mp #264 #294]: #292 -#722 := [mp #295 #721]: #717 -#587 := (not #717) -#588 := (or #587 #600) -#705 := (* -1::Int 1::Int) -#625 := (mod #704 #705) -#622 := (+ #15 #625) -#624 := (= #622 0::Int) -#489 := (mod f3 1::Int) -#644 := (* -1::Int #489) -#631 := (+ #15 #644) -#633 := (= #631 0::Int) -#386 := (<= 1::Int 0::Int) -#701 := (or #366 #386) -#703 := (not #701) -#383 := (or #385 #386) -#387 := (not #383) -#360 := (or #387 #703) -#634 := (if #360 #633 #624) -#635 := (if #381 #640 #634) -#643 := (= #15 f3) -#382 := (= 1::Int 0::Int) -#636 := (if #382 #643 #635) -#589 := (or #587 #636) -#591 := (iff #589 #588) -#592 := (iff #588 #588) -#578 := [rewrite]: #592 -#584 := (iff #636 #600) -#603 := (if false #643 #600) -#595 := (iff #603 #600) -#606 := [rewrite]: #595 -#604 := (iff #636 #603) -#601 := (iff #635 #600) -#598 := (iff #634 #597) -#594 := (iff #624 #593) -#609 := (= #622 #612) -#610 := (= #625 #645) -#401 := (= #705 -1::Int) -#402 := [rewrite]: #401 -#611 := [monotonicity #402]: #610 -#613 := [monotonicity #611]: #609 -#596 := [monotonicity #613]: #594 -#607 := (iff #633 #640) -#616 := (= #631 #15) -#615 := (+ #15 0::Int) -#619 := (= #615 #15) -#620 := [rewrite]: #619 -#617 := (= #631 #615) -#630 := (= #644 0::Int) -#626 := (* -1::Int 0::Int) -#629 := (= #626 0::Int) -#623 := [rewrite]: #629 -#627 := (= #644 #626) -#632 := (= #489 0::Int) -#637 := [rewrite]: #632 -#628 := [monotonicity #637]: #627 -#614 := [trans #628 #623]: #630 -#618 := [monotonicity #614]: #617 -#621 := [trans #618 #620]: #616 -#608 := [monotonicity #621]: #607 -#678 := (iff #360 #302) -#407 := (iff #703 #406) -#683 := (iff #701 #366) -#335 := (or #366 false) -#696 := (iff #335 #366) -#682 := [rewrite]: #696 -#695 := (iff #701 #335) -#350 := (iff #386 false) -#686 := [rewrite]: #350 -#693 := [monotonicity #686]: #695 -#405 := [trans #693 #682]: #683 -#408 := [monotonicity #405]: #407 -#694 := (iff #387 #692) -#691 := (iff #383 #385) -#687 := (or #385 false) -#690 := (iff #687 #385) -#685 := [rewrite]: #690 -#688 := (iff #383 #687) -#689 := [monotonicity #686]: #688 -#329 := [trans #689 #685]: #691 -#334 := [monotonicity #329]: #694 -#679 := [monotonicity #334 #408]: #678 -#599 := [monotonicity #679 #608 #596]: #598 -#602 := [monotonicity #599]: #601 -#363 := (iff #382 false) -#699 := [rewrite]: #363 -#605 := [monotonicity #699 #602]: #604 -#585 := [trans #605 #606]: #584 -#586 := [monotonicity #585]: #591 -#574 := [trans #586 #578]: #591 -#590 := [quant-inst #7 #10]: #589 -#575 := [mp #590 #574]: #588 -#554 := [unit-resolution #575 #722]: #600 -#565 := (not #600) -#566 := (or #565 #527 #640) -#567 := [def-axiom]: #566 -#559 := [unit-resolution #567 #554]: #535 -#560 := [unit-resolution #559 #499]: #527 -#659 := (not #302) -#555 := (or #381 #597) -#570 := (or #565 #381 #597) -#571 := [def-axiom]: #570 -#561 := [unit-resolution #571 #554]: #555 -#529 := [unit-resolution #561 #560]: #597 -#582 := (not #597) -#577 := (or #582 #659 #640) -#583 := [def-axiom]: #577 -#536 := [unit-resolution #583 #529 #499]: #659 -#657 := (or #302 #385) -#651 := [def-axiom]: #657 -#495 := [unit-resolution #651 #536]: #385 -#652 := (or #302 #366) -#658 := [def-axiom]: #652 -#526 := [unit-resolution #658 #536]: #366 -#528 := (or #381 #692 #406) -#530 := [th-lemma arith triangle-eq]: #528 -#537 := [unit-resolution #530 #526 #495 #560]: false -#539 := [lemma #537]: #640 -#450 := (or #558 #576) -#452 := [th-lemma arith triangle-eq]: #450 -#453 := [unit-resolution #452 #539]: #576 -#655 := (<= #11 0::Int) -#384 := (= #11 0::Int) -#508 := [hypothesis]: #527 -#490 := (div f3 1::Int) -#697 := (* -1::Int #490) -#371 := (+ #11 #697) -#372 := (= #371 0::Int) -#534 := (not #372) -#486 := (+ f3 #697) -#500 := (>= #486 0::Int) -#525 := (= #486 0::Int) -#1 := true -#163 := [true-axiom]: true -#463 := (or false #525) -#466 := [th-lemma arith]: #463 -#468 := [unit-resolution #466 #163]: #525 -#469 := (not #525) -#465 := (or #469 #500) -#470 := [th-lemma arith triangle-eq]: #465 -#460 := [unit-resolution #470 #468]: #500 -#491 := (<= #371 0::Int) -#456 := [hypothesis]: #372 -#457 := (or #534 #491) -#461 := [th-lemma arith triangle-eq]: #457 -#454 := [unit-resolution #461 #456]: #491 -#458 := (not #500) -#455 := (not #491) -#462 := (not #576) -#459 := (or #380 #462 #455 #458) -#445 := [th-lemma arith assign-bounds 1 1 -1]: #459 -#447 := [unit-resolution #445 #454 #453 #460]: #380 -#296 := (<= #168 0::Int) -#498 := (<= #486 0::Int) -#448 := (or #469 #498) -#446 := [th-lemma arith triangle-eq]: #448 -#449 := [unit-resolution #446 #468]: #498 -#579 := (>= #15 0::Int) -#431 := (or #558 #579) -#433 := [th-lemma arith triangle-eq]: #431 -#434 := [unit-resolution #433 #539]: #579 -#492 := (>= #371 0::Int) -#435 := (or #534 #492) -#436 := [th-lemma arith triangle-eq]: #435 -#437 := [unit-resolution #436 #456]: #492 -#440 := (not #498) -#439 := (not #492) -#438 := (not #579) -#441 := (or #296 #438 #439 #440) -#442 := [th-lemma arith assign-bounds 1 1 -1]: #441 -#443 := [unit-resolution #442 #437 #434 #449]: #296 -#444 := (not #380) -#432 := (not #296) -#424 := (or #432 #444) -#169 := (= #168 0::Int) -#172 := (not #169) -#60 := (+ #11 #15) -#63 := (= f3 #60) -#66 := (not #63) -#173 := (iff #66 #172) -#170 := (iff #63 #169) -#171 := [rewrite]: #170 +#157 := [monotonicity #99 #102]: #156 +#160 := [monotonicity #157]: #159 +#165 := [trans #160 #163]: #164 +#168 := [monotonicity #165]: #167 +#171 := [monotonicity #168]: #170 #174 := [monotonicity #171]: #173 +#177 := [monotonicity #174]: #176 +#180 := [quant-intro #177]: #179 +#197 := [trans #180 #195]: #196 +#154 := [asserted]: #50 +#198 := [mp #154 #197]: #193 +#201 := [mp~ #198 #205]: #193 +#249 := [mp #201 #248]: #246 +#280 := [mp #249 #279]: #277 +#768 := [mp #280 #767]: #763 +#633 := (not #763) +#634 := (or #633 #646) +#751 := (* -1::Int 1::Int) +#671 := (mod #750 #751) +#668 := (+ #15 #671) +#670 := (= #668 0::Int) +#535 := (mod f3 1::Int) +#690 := (* -1::Int #535) +#677 := (+ #15 #690) +#679 := (= #677 0::Int) +#432 := (<= 1::Int 0::Int) +#747 := (or #412 #432) +#749 := (not #747) +#429 := (or #431 #432) +#433 := (not #429) +#406 := (or #433 #749) +#680 := (if #406 #679 #670) +#681 := (if #427 #686 #680) +#689 := (= #15 f3) +#428 := (= 1::Int 0::Int) +#682 := (if #428 #689 #681) +#635 := (or #633 #682) +#637 := (iff #635 #634) +#638 := (iff #634 #634) +#624 := [rewrite]: #638 +#630 := (iff #682 #646) +#649 := (if false #689 #646) +#641 := (iff #649 #646) +#652 := [rewrite]: #641 +#650 := (iff #682 #649) +#647 := (iff #681 #646) +#644 := (iff #680 #643) +#640 := (iff #670 #639) +#655 := (= #668 #658) +#656 := (= #671 #691) +#447 := (= #751 -1::Int) +#448 := [rewrite]: #447 +#657 := [monotonicity #448]: #656 +#659 := [monotonicity #657]: #655 +#642 := [monotonicity #659]: #640 +#653 := (iff #679 #686) +#662 := (= #677 #15) +#661 := (+ #15 0::Int) +#665 := (= #661 #15) +#666 := [rewrite]: #665 +#663 := (= #677 #661) +#676 := (= #690 0::Int) +#672 := (* -1::Int 0::Int) +#675 := (= #672 0::Int) +#669 := [rewrite]: #675 +#673 := (= #690 #672) +#678 := (= #535 0::Int) +#683 := [rewrite]: #678 +#674 := [monotonicity #683]: #673 +#660 := [trans #674 #669]: #676 +#664 := [monotonicity #660]: #663 +#667 := [trans #664 #666]: #662 +#654 := [monotonicity #667]: #653 +#724 := (iff #406 #348) +#453 := (iff #749 #452) +#729 := (iff #747 #412) +#381 := (or #412 false) +#742 := (iff #381 #412) +#728 := [rewrite]: #742 +#741 := (iff #747 #381) +#396 := (iff #432 false) +#732 := [rewrite]: #396 +#739 := [monotonicity #732]: #741 +#451 := [trans #739 #728]: #729 +#454 := [monotonicity #451]: #453 +#740 := (iff #433 #738) +#737 := (iff #429 #431) +#733 := (or #431 false) +#736 := (iff #733 #431) +#731 := [rewrite]: #736 +#734 := (iff #429 #733) +#735 := [monotonicity #732]: #734 +#375 := [trans #735 #731]: #737 +#380 := [monotonicity #375]: #740 +#725 := [monotonicity #380 #454]: #724 +#645 := [monotonicity #725 #654 #642]: #644 +#648 := [monotonicity #645]: #647 +#409 := (iff #428 false) +#745 := [rewrite]: #409 +#651 := [monotonicity #745 #648]: #650 +#631 := [trans #651 #652]: #630 +#632 := [monotonicity #631]: #637 +#620 := [trans #632 #624]: #637 +#636 := [quant-inst #7 #10]: #635 +#621 := [mp #636 #620]: #634 +#600 := [unit-resolution #621 #768]: #646 +#611 := (not #646) +#612 := (or #611 #573 #686) +#613 := [def-axiom]: #612 +#605 := [unit-resolution #613 #600]: #581 +#606 := [unit-resolution #605 #545]: #573 +#705 := (not #348) +#601 := (or #427 #643) +#616 := (or #611 #427 #643) +#617 := [def-axiom]: #616 +#607 := [unit-resolution #617 #600]: #601 +#575 := [unit-resolution #607 #606]: #643 +#628 := (not #643) +#623 := (or #628 #705 #686) +#629 := [def-axiom]: #623 +#582 := [unit-resolution #629 #575 #545]: #705 +#703 := (or #348 #431) +#697 := [def-axiom]: #703 +#541 := [unit-resolution #697 #582]: #431 +#698 := (or #348 #412) +#704 := [def-axiom]: #698 +#572 := [unit-resolution #704 #582]: #412 +#574 := (or #427 #738 #452) +#576 := [th-lemma arith triangle-eq]: #574 +#583 := [unit-resolution #576 #572 #541 #606]: false +#585 := [lemma #583]: #686 +#496 := (or #604 #622) +#498 := [th-lemma arith triangle-eq]: #496 +#499 := [unit-resolution #498 #585]: #622 +#701 := (<= #11 0::Int) +#430 := (= #11 0::Int) +#474 := [hypothesis]: #573 +#536 := (div f3 1::Int) +#743 := (* -1::Int #536) +#417 := (+ #11 #743) +#418 := (= #417 0::Int) +#580 := (not #418) +#532 := (+ f3 #743) +#546 := (>= #532 0::Int) +#571 := (= #532 0::Int) +#1 := true +#68 := [true-axiom]: true +#509 := (or false #571) +#512 := [th-lemma arith]: #509 +#514 := [unit-resolution #512 #68]: #571 +#515 := (not #571) +#511 := (or #515 #546) +#516 := [th-lemma arith triangle-eq]: #511 +#506 := [unit-resolution #516 #514]: #546 +#537 := (<= #417 0::Int) +#502 := [hypothesis]: #418 +#503 := (or #580 #537) +#507 := [th-lemma arith triangle-eq]: #503 +#500 := [unit-resolution #507 #502]: #537 +#504 := (not #546) +#501 := (not #537) +#508 := (not #622) +#505 := (or #426 #508 #501 #504) +#491 := [th-lemma arith assign-bounds 1 1 -1]: #505 +#493 := [unit-resolution #491 #500 #499 #506]: #426 +#342 := (<= #86 0::Int) +#544 := (<= #532 0::Int) +#494 := (or #515 #544) +#492 := [th-lemma arith triangle-eq]: #494 +#495 := [unit-resolution #492 #514]: #544 +#625 := (>= #15 0::Int) +#477 := (or #604 #625) +#479 := [th-lemma arith triangle-eq]: #477 +#480 := [unit-resolution #479 #585]: #625 +#538 := (>= #417 0::Int) +#481 := (or #580 #538) +#482 := [th-lemma arith triangle-eq]: #481 +#483 := [unit-resolution #482 #502]: #538 +#486 := (not #544) +#485 := (not #538) +#484 := (not #625) +#487 := (or #342 #484 #485 #486) +#488 := [th-lemma arith assign-bounds 1 1 -1]: #487 +#489 := [unit-resolution #488 #483 #480 #495]: #342 +#490 := (not #426) +#478 := (not #342) +#470 := (or #478 #490) +#87 := (= #86 0::Int) +#90 := (not #87) #12 := (* #11 1::Int) #16 := (+ #12 #15) #17 := (= f3 #16) #18 := (not #17) -#67 := (iff #18 #66) -#64 := (iff #17 #63) -#61 := (= #16 #60) -#58 := (= #12 #11) -#59 := [rewrite]: #58 -#62 := [monotonicity #59]: #61 -#65 := [monotonicity #62]: #64 -#68 := [monotonicity #65]: #67 -#52 := [asserted]: #18 -#69 := [mp #52 #68]: #66 -#175 := [mp #69 #174]: #172 -#421 := (or #169 #432 #444) -#423 := [th-lemma arith triangle-eq]: #421 -#425 := [unit-resolution #423 #175]: #424 -#426 := [unit-resolution #425 #443 #447]: false -#427 := [lemma #426]: #534 -#676 := (div #704 -1::Int) -#681 := (* -1::Int #676) -#393 := (+ #11 #681) -#673 := (= #393 0::Int) -#674 := (if #302 #372 #673) -#552 := (or #381 #674) -#664 := (if #381 #384 #674) +#93 := (iff #18 #90) +#73 := (+ #11 #15) +#76 := (= f3 #73) +#79 := (not #76) +#91 := (iff #79 #90) +#88 := (iff #76 #87) +#89 := [rewrite]: #88 +#92 := [monotonicity #89]: #91 +#80 := (iff #18 #79) +#77 := (iff #17 #76) +#74 := (= #16 #73) +#71 := (= #12 #11) +#72 := [rewrite]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#81 := [monotonicity #78]: #80 +#94 := [trans #81 #92]: #93 +#70 := [asserted]: #18 +#95 := [mp #70 #94]: #90 +#467 := (or #87 #478 #490) +#469 := [th-lemma arith triangle-eq]: #467 +#471 := [unit-resolution #469 #95]: #470 +#472 := [unit-resolution #471 #489 #493]: false +#473 := [lemma #472]: #580 +#722 := (div #750 -1::Int) +#727 := (* -1::Int #722) +#439 := (+ #11 #727) +#719 := (= #439 0::Int) +#720 := (if #348 #418 #719) +#468 := (or #427 #720) +#710 := (if #427 #430 #720) #20 := (f5 f6 #19) #22 := (f4 #20 #21) -#709 := (pattern #22) +#755 := (pattern #22) #103 := (div #97 #100) -#269 := (* -1::Int #103) -#270 := (+ #22 #269) -#271 := (= #270 0::Int) +#254 := (* -1::Int #103) +#255 := (+ #22 #254) +#256 := (= #255 0::Int) #33 := (div #19 #21) -#266 := (* -1::Int #33) -#267 := (+ #22 #266) -#268 := (= #267 0::Int) -#272 := (if #233 #268 #271) -#265 := (= #22 0::Int) +#251 := (* -1::Int #33) +#252 := (+ #22 #251) +#253 := (= #252 0::Int) +#257 := (if #218 #253 #256) +#250 := (= #22 0::Int) #26 := (or #24 #25) -#273 := (if #26 #265 #272) -#710 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #709) #273) -#276 := (forall (vars (?v0 Int) (?v1 Int)) #273) -#713 := (iff #276 #710) -#711 := (iff #273 #273) -#712 := [refl]: #711 -#714 := [quant-intro #712]: #713 -#236 := (if #233 #33 #103) -#239 := (if #26 0::Int #236) -#242 := (= #22 #239) -#245 := (forall (vars (?v0 Int) (?v1 Int)) #242) -#277 := (iff #245 #276) -#274 := (iff #242 #273) -#275 := [rewrite]: #274 -#278 := [quant-intro #275]: #277 -#188 := (if #185 #33 #103) -#191 := (if #26 0::Int #188) -#194 := (= #22 #191) -#197 := (forall (vars (?v0 Int) (?v1 Int)) #194) -#246 := (iff #197 #245) -#243 := (iff #194 #242) -#240 := (= #191 #239) -#237 := (= #188 #236) -#238 := [monotonicity #235]: #237 -#241 := [monotonicity #238]: #240 -#244 := [monotonicity #241]: #243 -#247 := [quant-intro #244]: #246 -#221 := (~ #197 #197) -#219 := (~ #194 #194) -#220 := [refl]: #219 -#222 := [nnf-pos #220]: #221 -#106 := (if #93 #33 #103) -#109 := (if #26 0::Int #106) -#112 := (= #22 #109) -#115 := (forall (vars (?v0 Int) (?v1 Int)) #112) -#198 := (iff #115 #197) -#195 := (iff #112 #194) -#192 := (= #109 #191) -#189 := (= #106 #188) -#190 := [monotonicity #187]: #189 -#193 := [monotonicity #190]: #192 -#196 := [monotonicity #193]: #195 -#199 := [quant-intro #196]: #198 +#258 := (if #26 #250 #257) +#756 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #755) #258) +#261 := (forall (vars (?v0 Int) (?v1 Int)) #258) +#759 := (iff #261 #756) +#757 := (iff #258 #258) +#758 := [refl]: #757 +#760 := [quant-intro #758]: #759 +#221 := (if #218 #33 #103) +#224 := (if #26 0::Int #221) +#227 := (= #22 #224) +#230 := (forall (vars (?v0 Int) (?v1 Int)) #227) +#262 := (iff #230 #261) +#259 := (iff #227 #258) +#260 := [rewrite]: #259 +#263 := [quant-intro #260]: #262 +#139 := (if #136 #33 #103) +#142 := (if #26 0::Int #139) +#145 := (= #22 #142) +#148 := (forall (vars (?v0 Int) (?v1 Int)) #145) +#231 := (iff #148 #230) +#228 := (iff #145 #227) +#225 := (= #142 #224) +#222 := (= #139 #221) +#223 := [monotonicity #220]: #222 +#226 := [monotonicity #223]: #225 +#229 := [monotonicity #226]: #228 +#232 := [quant-intro #229]: #231 +#210 := (~ #148 #148) +#208 := (~ #145 #145) +#209 := [refl]: #208 +#211 := [nnf-pos #209]: #210 #36 := (div #34 #35) #37 := (if #32 #33 #36) #38 := (if #26 0::Int #37) #39 := (= #22 #38) #40 := (forall (vars (?v0 Int) (?v1 Int)) #39) +#151 := (iff #40 #148) +#106 := (if #32 #33 #103) +#109 := (if #26 0::Int #106) +#112 := (= #22 #109) +#115 := (forall (vars (?v0 Int) (?v1 Int)) #112) +#149 := (iff #115 #148) +#146 := (iff #112 #145) +#143 := (= #109 #142) +#140 := (= #106 #139) +#141 := [monotonicity #138]: #140 +#144 := [monotonicity #141]: #143 +#147 := [monotonicity #144]: #146 +#150 := [quant-intro #147]: #149 #116 := (iff #40 #115) #113 := (iff #39 #112) #110 := (= #38 #109) #107 := (= #37 #106) #104 := (= #36 #103) #105 := [monotonicity #99 #102]: #104 -#108 := [monotonicity #95 #105]: #107 +#108 := [monotonicity #105]: #107 #111 := [monotonicity #108]: #110 #114 := [monotonicity #111]: #113 #117 := [quant-intro #114]: #116 -#53 := [asserted]: #40 -#118 := [mp #53 #117]: #115 -#200 := [mp #118 #199]: #197 -#217 := [mp~ #200 #222]: #197 -#248 := [mp #217 #247]: #245 -#279 := [mp #248 #278]: #276 -#715 := [mp #279 #714]: #710 -#661 := (not #710) -#662 := (or #661 #664) -#706 := (div #704 #705) -#707 := (* -1::Int #706) -#702 := (+ #11 #707) -#708 := (= #702 0::Int) -#698 := (if #360 #372 #708) -#373 := (or #381 #382) -#358 := (if #373 #384 #698) -#667 := (or #661 #358) -#663 := (iff #667 #662) -#510 := (iff #662 #662) -#511 := [rewrite]: #510 -#665 := (iff #358 #664) -#671 := (iff #698 #674) -#388 := (iff #708 #673) -#394 := (= #702 #393) -#391 := (= #707 #681) -#680 := (= #706 #676) -#677 := [monotonicity #402]: #680 -#392 := [monotonicity #677]: #391 -#672 := [monotonicity #392]: #394 -#670 := [monotonicity #672]: #388 -#675 := [monotonicity #679 #670]: #671 -#348 := (iff #373 #381) -#359 := (or #381 false) -#684 := (iff #359 #381) -#347 := [rewrite]: #684 -#700 := (iff #373 #359) -#343 := [monotonicity #699]: #700 -#349 := [trans #343 #347]: #348 -#666 := [monotonicity #349 #675]: #665 -#669 := [monotonicity #666]: #663 -#512 := [trans #669 #511]: #663 -#668 := [quant-inst #7 #10]: #667 -#654 := [mp #668 #512]: #662 -#531 := [unit-resolution #654 #715]: #664 -#642 := (not #664) -#545 := (or #642 #381 #674) -#538 := [def-axiom]: #545 -#507 := [unit-resolution #538 #531]: #552 -#501 := [unit-resolution #507 #508]: #674 -#649 := (not #674) -#647 := (or #649 #659 #372) -#650 := [def-axiom]: #647 -#502 := [unit-resolution #650 #501 #427]: #659 -#503 := [unit-resolution #651 #502]: #385 -#504 := [unit-resolution #658 #502]: #366 -#505 := [unit-resolution #530 #504 #503 #508]: false -#488 := [lemma #505]: #381 -#506 := (or #527 #384) -#542 := (or #642 #527 #384) -#544 := [def-axiom]: #542 -#514 := [unit-resolution #544 #531]: #506 -#515 := [unit-resolution #514 #488]: #384 -#546 := (not #384) -#516 := (or #546 #655) -#517 := [th-lemma arith triangle-eq]: #516 -#518 := [unit-resolution #517 #515]: #655 -#519 := (or #527 #366) -#520 := [th-lemma arith triangle-eq]: #519 -#521 := [unit-resolution #520 #488]: #366 -#522 := (not #655) -#523 := (or #380 #522 #462 #406) -#524 := [th-lemma arith assign-bounds 1 1 -1]: #523 -#509 := [unit-resolution #524 #521 #518 #453]: #380 -#656 := (>= #11 0::Int) -#487 := (or #546 #656) -#494 := [th-lemma arith triangle-eq]: #487 -#496 := [unit-resolution #494 #515]: #656 -#497 := (or #527 #385) -#428 := [th-lemma arith triangle-eq]: #497 -#429 := [unit-resolution #428 #488]: #385 -#422 := (not #656) -#430 := (or #296 #422 #438 #692) -#415 := [th-lemma arith assign-bounds 1 1 -1]: #430 -#416 := [unit-resolution #415 #429 #496 #434]: #296 -[unit-resolution #425 #416 #509]: false -34442a78b76a0af7e551b55a4cf9e46f5680194f 558 0 -unsat +#152 := [trans #117 #150]: #151 +#96 := [asserted]: #40 +#153 := [mp #96 #152]: #148 +#202 := [mp~ #153 #211]: #148 +#233 := [mp #202 #232]: #230 +#264 := [mp #233 #263]: #261 +#761 := [mp #264 #760]: #756 +#707 := (not #756) +#708 := (or #707 #710) +#752 := (div #750 #751) +#753 := (* -1::Int #752) +#748 := (+ #11 #753) +#754 := (= #748 0::Int) +#744 := (if #406 #418 #754) +#419 := (or #427 #428) +#404 := (if #419 #430 #744) +#713 := (or #707 #404) +#709 := (iff #713 #708) +#556 := (iff #708 #708) +#557 := [rewrite]: #556 +#711 := (iff #404 #710) +#717 := (iff #744 #720) +#434 := (iff #754 #719) +#440 := (= #748 #439) +#437 := (= #753 #727) +#726 := (= #752 #722) +#723 := [monotonicity #448]: #726 +#438 := [monotonicity #723]: #437 +#718 := [monotonicity #438]: #440 +#716 := [monotonicity #718]: #434 +#721 := [monotonicity #725 #716]: #717 +#394 := (iff #419 #427) +#405 := (or #427 false) +#730 := (iff #405 #427) +#393 := [rewrite]: #730 +#746 := (iff #419 #405) +#389 := [monotonicity #745]: #746 +#395 := [trans #389 #393]: #394 +#712 := [monotonicity #395 #721]: #711 +#715 := [monotonicity #712]: #709 +#558 := [trans #715 #557]: #709 +#714 := [quant-inst #7 #10]: #713 +#700 := [mp #714 #558]: #708 +#475 := [unit-resolution #700 #761]: #710 +#688 := (not #710) +#591 := (or #688 #427 #720) +#584 := [def-axiom]: #591 +#476 := [unit-resolution #584 #475]: #468 +#461 := [unit-resolution #476 #474]: #720 +#695 := (not #720) +#693 := (or #695 #705 #418) +#696 := [def-axiom]: #693 +#462 := [unit-resolution #696 #461 #473]: #705 +#463 := [unit-resolution #697 #462]: #431 +#465 := [unit-resolution #704 #462]: #412 +#464 := [unit-resolution #576 #465 #463 #474]: false +#466 := [lemma #464]: #427 +#455 := (or #573 #430) +#588 := (or #688 #573 #430) +#590 := [def-axiom]: #588 +#456 := [unit-resolution #590 #475]: #455 +#457 := [unit-resolution #456 #466]: #430 +#592 := (not #430) +#449 := (or #592 #701) +#458 := [th-lemma arith triangle-eq]: #449 +#459 := [unit-resolution #458 #457]: #701 +#450 := (or #573 #412) +#460 := [th-lemma arith triangle-eq]: #450 +#441 := [unit-resolution #460 #466]: #412 +#442 := (not #701) +#443 := (or #426 #442 #508 #452) +#435 := [th-lemma arith assign-bounds 1 1 -1]: #443 +#444 := [unit-resolution #435 #441 #459 #499]: #426 +#702 := (>= #11 0::Int) +#445 := (or #592 #702) +#436 := [th-lemma arith triangle-eq]: #445 +#446 := [unit-resolution #436 #457]: #702 +#413 := (or #573 #431) +#415 := [th-lemma arith triangle-eq]: #413 +#416 := [unit-resolution #415 #466]: #431 +#407 := (not #702) +#420 := (or #342 #407 #484 #738) +#421 := [th-lemma arith assign-bounds 1 1 -1]: #420 +#422 := [unit-resolution #421 #416 #446 #480]: #342 +[unit-resolution #471 #422 #444]: false +unsat +d22602bbee9e57cff02bea0b44e81e206f8f757f 546 0 #2 := false #23 := 0::Int decl f4 :: (-> S2 Int Int) @@ -42518,126 +39852,102 @@ #8 := f6 #9 := (f5 f6 f3) #11 := (f4 #9 3::Int) -#659 := (>= #11 0::Int) -#387 := (= #11 0::Int) -#384 := (= f3 0::Int) -#530 := (not #384) -#566 := [hypothesis]: #530 -#388 := (<= f3 0::Int) -#369 := (>= f3 0::Int) -#409 := (not #369) -#695 := (not #388) -#304 := (or #695 #409) -#662 := (not #304) -#167 := -3::Int -#97 := -1::Int -#707 := (* -1::Int f3) -#679 := (div #707 -3::Int) -#684 := (* -1::Int #679) -#396 := (+ #11 #684) -#676 := (= #396 0::Int) -#493 := (div f3 3::Int) -#700 := (* -1::Int #493) -#374 := (+ #11 #700) -#375 := (= #374 0::Int) -#677 := (if #304 #375 #676) -#567 := (or #384 #677) -#667 := (if #384 #387 #677) +#704 := (>= #11 0::Int) +#432 := (= #11 0::Int) +#429 := (= f3 0::Int) +#575 := (not #429) +#571 := [hypothesis]: #575 +#433 := (<= f3 0::Int) +#414 := (>= f3 0::Int) +#454 := (not #414) +#740 := (not #433) +#350 := (or #740 #454) +#707 := (not #350) +#83 := -3::Int +#85 := -1::Int +#752 := (* -1::Int f3) +#724 := (div #752 -3::Int) +#729 := (* -1::Int #724) +#441 := (+ #11 #729) +#721 := (= #441 0::Int) +#538 := (div f3 3::Int) +#745 := (* -1::Int #538) +#419 := (+ #11 #745) +#420 := (= #419 0::Int) +#722 := (if #350 #420 #721) +#557 := (or #429 #722) +#712 := (if #429 #432 #722) #21 := (:var 0 Int) #19 := (:var 1 Int) #20 := (f5 f6 #19) #22 := (f4 #20 #21) -#712 := (pattern #22) -#101 := (* -1::Int #21) -#98 := (* -1::Int #19) -#104 := (div #98 #101) -#271 := (* -1::Int #104) -#272 := (+ #22 #271) -#273 := (= #272 0::Int) +#757 := (pattern #22) +#102 := (* -1::Int #21) +#99 := (* -1::Int #19) +#105 := (div #99 #102) +#256 := (* -1::Int #105) +#257 := (+ #22 #256) +#258 := (= #257 0::Int) #33 := (div #19 #21) -#268 := (* -1::Int #33) -#269 := (+ #22 #268) -#270 := (= #269 0::Int) -#75 := (<= #21 0::Int) -#178 := (>= #19 0::Int) -#231 := (or #178 #75) -#232 := (not #231) -#71 := (<= #19 0::Int) -#227 := (or #71 #75) -#228 := (not #227) -#235 := (or #228 #232) -#274 := (if #235 #270 #273) -#267 := (= #22 0::Int) +#253 := (* -1::Int #33) +#254 := (+ #22 #253) +#255 := (= #254 0::Int) +#124 := (<= #21 0::Int) +#131 := (>= #19 0::Int) +#216 := (or #131 #124) +#217 := (not #216) +#120 := (<= #19 0::Int) +#214 := (or #120 #124) +#215 := (not #214) +#220 := (or #215 #217) +#259 := (if #220 #255 #258) +#252 := (= #22 0::Int) #25 := (= #21 0::Int) #24 := (= #19 0::Int) #26 := (or #24 #25) -#275 := (if #26 #267 #274) -#713 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #712) #275) -#278 := (forall (vars (?v0 Int) (?v1 Int)) #275) -#716 := (iff #278 #713) -#714 := (iff #275 #275) -#715 := [refl]: #714 -#717 := [quant-intro #715]: #716 -#238 := (if #235 #33 #104) -#241 := (if #26 0::Int #238) -#244 := (= #22 #241) -#247 := (forall (vars (?v0 Int) (?v1 Int)) #244) -#279 := (iff #247 #278) -#276 := (iff #244 #275) -#277 := [rewrite]: #276 -#280 := [quant-intro #277]: #279 -#76 := (not #75) -#181 := (not #178) -#184 := (and #181 #76) -#72 := (not #71) -#79 := (and #72 #76) -#187 := (or #79 #184) -#190 := (if #187 #33 #104) -#193 := (if #26 0::Int #190) -#196 := (= #22 #193) -#199 := (forall (vars (?v0 Int) (?v1 Int)) #196) -#248 := (iff #199 #247) -#245 := (iff #196 #244) -#242 := (= #193 #241) -#239 := (= #190 #238) -#236 := (iff #187 #235) -#233 := (iff #184 #232) -#234 := [rewrite]: #233 -#229 := (iff #79 #228) -#230 := [rewrite]: #229 -#237 := [monotonicity #230 #234]: #236 -#240 := [monotonicity #237]: #239 -#243 := [monotonicity #240]: #242 -#246 := [monotonicity #243]: #245 -#249 := [quant-intro #246]: #248 -#165 := (~ #199 #199) -#221 := (~ #196 #196) -#222 := [refl]: #221 -#166 := [nnf-pos #222]: #165 -#82 := (<= 0::Int #19) -#83 := (not #82) -#91 := (and #83 #76) -#94 := (or #79 #91) -#107 := (if #94 #33 #104) -#110 := (if #26 0::Int #107) -#113 := (= #22 #110) -#116 := (forall (vars (?v0 Int) (?v1 Int)) #113) -#200 := (iff #116 #199) -#197 := (iff #113 #196) -#194 := (= #110 #193) -#191 := (= #107 #190) -#188 := (iff #94 #187) -#185 := (iff #91 #184) -#182 := (iff #83 #181) -#179 := (iff #82 #178) -#180 := [rewrite]: #179 -#183 := [monotonicity #180]: #182 -#186 := [monotonicity #183]: #185 -#189 := [monotonicity #186]: #188 -#192 := [monotonicity #189]: #191 -#195 := [monotonicity #192]: #194 -#198 := [monotonicity #195]: #197 -#201 := [quant-intro #198]: #200 +#260 := (if #26 #252 #259) +#758 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #757) #260) +#263 := (forall (vars (?v0 Int) (?v1 Int)) #260) +#761 := (iff #263 #758) +#759 := (iff #260 #260) +#760 := [refl]: #759 +#762 := [quant-intro #760]: #761 +#223 := (if #220 #33 #105) +#226 := (if #26 0::Int #223) +#229 := (= #22 #226) +#232 := (forall (vars (?v0 Int) (?v1 Int)) #229) +#264 := (iff #232 #263) +#261 := (iff #229 #260) +#262 := [rewrite]: #261 +#265 := [quant-intro #262]: #264 +#125 := (not #124) +#132 := (not #131) +#135 := (and #132 #125) +#121 := (not #120) +#128 := (and #121 #125) +#138 := (or #128 #135) +#141 := (if #138 #33 #105) +#144 := (if #26 0::Int #141) +#147 := (= #22 #144) +#150 := (forall (vars (?v0 Int) (?v1 Int)) #147) +#233 := (iff #150 #232) +#230 := (iff #147 #229) +#227 := (= #144 #226) +#224 := (= #141 #223) +#221 := (iff #138 #220) +#218 := (iff #135 #217) +#219 := [rewrite]: #218 +#208 := (iff #128 #215) +#209 := [rewrite]: #208 +#222 := [monotonicity #209 #219]: #221 +#225 := [monotonicity #222]: #224 +#228 := [monotonicity #225]: #227 +#231 := [monotonicity #228]: #230 +#234 := [quant-intro #231]: #233 +#212 := (~ #150 #150) +#210 := (~ #147 #147) +#211 := [refl]: #210 +#213 := [nnf-pos #211]: #212 #35 := (- #21) #34 := (- #19) #36 := (div #34 #35) @@ -42651,200 +39961,193 @@ #38 := (if #26 0::Int #37) #39 := (= #22 #38) #40 := (forall (vars (?v0 Int) (?v1 Int)) #39) -#117 := (iff #40 #116) -#114 := (iff #39 #113) -#111 := (= #38 #110) -#108 := (= #37 #107) -#105 := (= #36 #104) -#102 := (= #35 #101) -#103 := [rewrite]: #102 -#99 := (= #34 #98) -#100 := [rewrite]: #99 -#106 := [monotonicity #100 #103]: #105 -#95 := (iff #32 #94) -#92 := (iff #31 #91) -#77 := (iff #28 #76) -#78 := [rewrite]: #77 -#84 := (iff #30 #83) -#88 := (iff #83 #83) -#86 := (iff #82 #82) -#87 := [rewrite]: #86 -#89 := [monotonicity #87]: #88 -#85 := [rewrite]: #84 -#90 := [trans #85 #89]: #84 -#93 := [monotonicity #90 #78]: #92 -#80 := (iff #29 #79) -#73 := (iff #27 #72) -#74 := [rewrite]: #73 -#81 := [monotonicity #74 #78]: #80 -#96 := [monotonicity #81 #93]: #95 -#109 := [monotonicity #96 #106]: #108 -#112 := [monotonicity #109]: #111 -#115 := [monotonicity #112]: #114 -#118 := [quant-intro #115]: #117 -#53 := [asserted]: #40 -#119 := [mp #53 #118]: #116 -#202 := [mp #119 #201]: #199 -#219 := [mp~ #202 #166]: #199 -#250 := [mp #219 #249]: #247 -#281 := [mp #250 #280]: #278 -#718 := [mp #281 #717]: #713 -#664 := (not #713) -#665 := (or #664 #667) -#708 := (* -1::Int 3::Int) -#709 := (div #707 #708) -#710 := (* -1::Int #709) -#705 := (+ #11 #710) -#711 := (= #705 0::Int) -#389 := (<= 3::Int 0::Int) -#704 := (or #369 #389) -#706 := (not #704) -#386 := (or #388 #389) -#390 := (not #386) -#363 := (or #390 #706) -#701 := (if #363 #375 #711) -#385 := (= 3::Int 0::Int) -#376 := (or #384 #385) -#361 := (if #376 #387 #701) -#670 := (or #664 #361) -#666 := (iff #670 #665) -#513 := (iff #665 #665) -#514 := [rewrite]: #513 -#668 := (iff #361 #667) -#674 := (iff #701 #677) -#391 := (iff #711 #676) -#397 := (= #705 #396) -#394 := (= #710 #684) -#683 := (= #709 #679) -#404 := (= #708 -3::Int) -#405 := [rewrite]: #404 -#680 := [monotonicity #405]: #683 -#395 := [monotonicity #680]: #394 -#675 := [monotonicity #395]: #397 -#673 := [monotonicity #675]: #391 -#681 := (iff #363 #304) -#410 := (iff #706 #409) -#686 := (iff #704 #369) -#338 := (or #369 false) -#699 := (iff #338 #369) -#685 := [rewrite]: #699 -#698 := (iff #704 #338) -#353 := (iff #389 false) -#689 := [rewrite]: #353 -#696 := [monotonicity #689]: #698 -#408 := [trans #696 #685]: #686 -#411 := [monotonicity #408]: #410 -#697 := (iff #390 #695) -#694 := (iff #386 #388) -#690 := (or #388 false) -#693 := (iff #690 #388) -#688 := [rewrite]: #693 -#691 := (iff #386 #690) -#692 := [monotonicity #689]: #691 -#332 := [trans #692 #688]: #694 -#337 := [monotonicity #332]: #697 -#682 := [monotonicity #337 #411]: #681 -#678 := [monotonicity #682 #673]: #674 -#351 := (iff #376 #384) -#362 := (or #384 false) -#687 := (iff #362 #384) -#350 := [rewrite]: #687 -#703 := (iff #376 #362) -#366 := (iff #385 false) -#702 := [rewrite]: #366 -#346 := [monotonicity #702]: #703 -#352 := [trans #346 #350]: #351 -#669 := [monotonicity #352 #678]: #668 -#672 := [monotonicity #669]: #666 -#515 := [trans #672 #514]: #666 -#671 := [quant-inst #7 #10]: #670 -#657 := [mp #671 #515]: #665 -#570 := [unit-resolution #657 #718]: #667 -#645 := (not #667) -#548 := (or #645 #384 #677) -#541 := [def-axiom]: #548 -#572 := [unit-resolution #541 #570]: #567 -#568 := [unit-resolution #572 #566]: #677 -#648 := (mod #707 -3::Int) +#153 := (iff #40 #150) +#108 := (if #32 #33 #105) +#111 := (if #26 0::Int #108) +#114 := (= #22 #111) +#117 := (forall (vars (?v0 Int) (?v1 Int)) #114) +#151 := (iff #117 #150) +#148 := (iff #114 #147) +#145 := (= #111 #144) +#142 := (= #108 #141) +#139 := (iff #32 #138) +#136 := (iff #31 #135) +#126 := (iff #28 #125) +#127 := [rewrite]: #126 +#133 := (iff #30 #132) +#134 := [rewrite]: #133 +#137 := [monotonicity #134 #127]: #136 +#129 := (iff #29 #128) +#122 := (iff #27 #121) +#123 := [rewrite]: #122 +#130 := [monotonicity #123 #127]: #129 +#140 := [monotonicity #130 #137]: #139 +#143 := [monotonicity #140]: #142 +#146 := [monotonicity #143]: #145 +#149 := [monotonicity #146]: #148 +#152 := [quant-intro #149]: #151 +#118 := (iff #40 #117) +#115 := (iff #39 #114) +#112 := (= #38 #111) +#109 := (= #37 #108) +#106 := (= #36 #105) +#103 := (= #35 #102) +#104 := [rewrite]: #103 +#100 := (= #34 #99) +#101 := [rewrite]: #100 +#107 := [monotonicity #101 #104]: #106 +#110 := [monotonicity #107]: #109 +#113 := [monotonicity #110]: #112 +#116 := [monotonicity #113]: #115 +#119 := [quant-intro #116]: #118 +#154 := [trans #119 #152]: #153 +#98 := [asserted]: #40 +#155 := [mp #98 #154]: #150 +#204 := [mp~ #155 #213]: #150 +#235 := [mp #204 #234]: #232 +#266 := [mp #235 #265]: #263 +#763 := [mp #266 #762]: #758 +#709 := (not #758) +#710 := (or #709 #712) +#753 := (* -1::Int 3::Int) +#754 := (div #752 #753) +#755 := (* -1::Int #754) +#750 := (+ #11 #755) +#756 := (= #750 0::Int) +#434 := (<= 3::Int 0::Int) +#749 := (or #414 #434) +#751 := (not #749) +#431 := (or #433 #434) +#435 := (not #431) +#408 := (or #435 #751) +#746 := (if #408 #420 #756) +#430 := (= 3::Int 0::Int) +#421 := (or #429 #430) +#406 := (if #421 #432 #746) +#715 := (or #709 #406) +#711 := (iff #715 #710) +#558 := (iff #710 #710) +#559 := [rewrite]: #558 +#713 := (iff #406 #712) +#719 := (iff #746 #722) +#436 := (iff #756 #721) +#442 := (= #750 #441) +#439 := (= #755 #729) +#728 := (= #754 #724) +#449 := (= #753 -3::Int) +#450 := [rewrite]: #449 +#725 := [monotonicity #450]: #728 +#440 := [monotonicity #725]: #439 +#720 := [monotonicity #440]: #442 +#718 := [monotonicity #720]: #436 +#726 := (iff #408 #350) +#455 := (iff #751 #454) +#731 := (iff #749 #414) +#383 := (or #414 false) +#744 := (iff #383 #414) +#730 := [rewrite]: #744 +#743 := (iff #749 #383) +#398 := (iff #434 false) +#734 := [rewrite]: #398 +#741 := [monotonicity #734]: #743 +#453 := [trans #741 #730]: #731 +#456 := [monotonicity #453]: #455 +#742 := (iff #435 #740) +#739 := (iff #431 #433) +#735 := (or #433 false) +#738 := (iff #735 #433) +#733 := [rewrite]: #738 +#736 := (iff #431 #735) +#737 := [monotonicity #734]: #736 +#377 := [trans #737 #733]: #739 +#382 := [monotonicity #377]: #742 +#727 := [monotonicity #382 #456]: #726 +#723 := [monotonicity #727 #718]: #719 +#396 := (iff #421 #429) +#407 := (or #429 false) +#732 := (iff #407 #429) +#395 := [rewrite]: #732 +#748 := (iff #421 #407) +#411 := (iff #430 false) +#747 := [rewrite]: #411 +#391 := [monotonicity #747]: #748 +#397 := [trans #391 #395]: #396 +#714 := [monotonicity #397 #723]: #713 +#717 := [monotonicity #714]: #711 +#560 := [trans #717 #559]: #711 +#716 := [quant-inst #7 #10]: #715 +#702 := [mp #716 #560]: #710 +#572 := [unit-resolution #702 #763]: #712 +#690 := (not #712) +#593 := (or #690 #429 #722) +#586 := [def-axiom]: #593 +#573 := [unit-resolution #586 #572]: #557 +#534 := [unit-resolution #573 #571]: #722 +#693 := (mod #752 -3::Int) decl f7 :: S3 #13 := f7 #14 := (f5 f7 f3) #15 := (f4 #14 3::Int) -#629 := (+ #15 #648) -#632 := (= #629 0::Int) -#492 := (mod f3 3::Int) -#647 := (* -1::Int #492) -#634 := (+ #15 #647) -#636 := (= #634 0::Int) -#617 := (if #304 #636 #632) -#574 := (or #384 #617) -#643 := (= #15 0::Int) -#621 := (if #384 #643 #617) +#674 := (+ #15 #693) +#677 := (= #674 0::Int) +#537 := (mod f3 3::Int) +#692 := (* -1::Int #537) +#679 := (+ #15 #692) +#681 := (= #679 0::Int) +#662 := (if #350 #681 #677) +#533 := (or #429 #662) +#688 := (= #15 0::Int) +#666 := (if #429 #688 #662) #41 := (f5 f7 #19) #42 := (f4 #41 #21) -#719 := (pattern #42) -#120 := (mod #98 #101) -#287 := (+ #42 #120) -#288 := (= #287 0::Int) +#764 := (pattern #42) +#157 := (mod #99 #102) +#272 := (+ #42 #157) +#273 := (= #272 0::Int) #43 := (mod #19 #21) -#284 := (* -1::Int #43) -#285 := (+ #42 #284) -#286 := (= #285 0::Int) -#289 := (if #235 #286 #288) -#283 := (= #42 0::Int) -#290 := (if #24 #283 #289) -#282 := (= #42 #19) -#291 := (if #25 #282 #290) -#720 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #719) #291) -#294 := (forall (vars (?v0 Int) (?v1 Int)) #291) -#723 := (iff #294 #720) -#721 := (iff #291 #291) -#722 := [refl]: #721 -#724 := [quant-intro #722]: #723 -#126 := (* -1::Int #120) -#251 := (if #235 #43 #126) -#254 := (if #24 0::Int #251) -#257 := (if #25 #19 #254) -#260 := (= #42 #257) -#263 := (forall (vars (?v0 Int) (?v1 Int)) #260) -#295 := (iff #263 #294) -#292 := (iff #260 #291) -#293 := [rewrite]: #292 -#296 := [quant-intro #293]: #295 -#203 := (if #187 #43 #126) -#206 := (if #24 0::Int #203) -#209 := (if #25 #19 #206) -#212 := (= #42 #209) -#215 := (forall (vars (?v0 Int) (?v1 Int)) #212) -#264 := (iff #215 #263) -#261 := (iff #212 #260) -#258 := (= #209 #257) -#255 := (= #206 #254) -#252 := (= #203 #251) -#253 := [monotonicity #237]: #252 -#256 := [monotonicity #253]: #255 -#259 := [monotonicity #256]: #258 -#262 := [monotonicity #259]: #261 -#265 := [quant-intro #262]: #264 -#224 := (~ #215 #215) -#220 := (~ #212 #212) -#223 := [refl]: #220 -#225 := [nnf-pos #223]: #224 -#131 := (if #94 #43 #126) -#134 := (if #24 0::Int #131) -#137 := (if #25 #19 #134) -#140 := (= #42 #137) -#143 := (forall (vars (?v0 Int) (?v1 Int)) #140) -#216 := (iff #143 #215) -#213 := (iff #140 #212) -#210 := (= #137 #209) -#207 := (= #134 #206) -#204 := (= #131 #203) -#205 := [monotonicity #189]: #204 -#208 := [monotonicity #205]: #207 -#211 := [monotonicity #208]: #210 -#214 := [monotonicity #211]: #213 -#217 := [quant-intro #214]: #216 +#269 := (* -1::Int #43) +#270 := (+ #42 #269) +#271 := (= #270 0::Int) +#274 := (if #220 #271 #273) +#268 := (= #42 0::Int) +#275 := (if #24 #268 #274) +#267 := (= #42 #19) +#276 := (if #25 #267 #275) +#765 := (forall (vars (?v0 Int) (?v1 Int)) (:pat #764) #276) +#279 := (forall (vars (?v0 Int) (?v1 Int)) #276) +#768 := (iff #279 #765) +#766 := (iff #276 #276) +#767 := [refl]: #766 +#769 := [quant-intro #767]: #768 +#163 := (* -1::Int #157) +#236 := (if #220 #43 #163) +#239 := (if #24 0::Int #236) +#242 := (if #25 #19 #239) +#245 := (= #42 #242) +#248 := (forall (vars (?v0 Int) (?v1 Int)) #245) +#280 := (iff #248 #279) +#277 := (iff #245 #276) +#278 := [rewrite]: #277 +#281 := [quant-intro #278]: #280 +#183 := (if #138 #43 #163) +#186 := (if #24 0::Int #183) +#189 := (if #25 #19 #186) +#192 := (= #42 #189) +#195 := (forall (vars (?v0 Int) (?v1 Int)) #192) +#249 := (iff #195 #248) +#246 := (iff #192 #245) +#243 := (= #189 #242) +#240 := (= #186 #239) +#237 := (= #183 #236) +#238 := [monotonicity #222]: #237 +#241 := [monotonicity #238]: #240 +#244 := [monotonicity #241]: #243 +#247 := [monotonicity #244]: #246 +#250 := [quant-intro #247]: #249 +#206 := (~ #195 #195) +#205 := (~ #192 #192) +#202 := [refl]: #205 +#207 := [nnf-pos #202]: #206 #44 := (mod #34 #35) #45 := (- #44) #46 := (if #32 #43 #45) @@ -42852,603 +40155,522 @@ #48 := (if #25 #19 #47) #49 := (= #42 #48) #50 := (forall (vars (?v0 Int) (?v1 Int)) #49) -#144 := (iff #50 #143) -#141 := (iff #49 #140) -#138 := (= #48 #137) -#135 := (= #47 #134) -#132 := (= #46 #131) -#129 := (= #45 #126) -#123 := (- #120) -#127 := (= #123 #126) -#128 := [rewrite]: #127 -#124 := (= #45 #123) -#121 := (= #44 #120) -#122 := [monotonicity #100 #103]: #121 -#125 := [monotonicity #122]: #124 -#130 := [trans #125 #128]: #129 -#133 := [monotonicity #96 #130]: #132 -#136 := [monotonicity #133]: #135 -#139 := [monotonicity #136]: #138 -#142 := [monotonicity #139]: #141 -#145 := [quant-intro #142]: #144 -#54 := [asserted]: #50 -#146 := [mp #54 #145]: #143 -#218 := [mp #146 #217]: #215 -#226 := [mp~ #218 #225]: #215 -#266 := [mp #226 #265]: #263 -#297 := [mp #266 #296]: #294 -#725 := [mp #297 #724]: #720 -#612 := (not #720) -#616 := (or #612 #621) -#628 := (mod #707 #708) -#625 := (+ #15 #628) -#627 := (= #625 0::Int) -#637 := (if #363 #636 #627) -#638 := (if #384 #643 #637) -#646 := (= #15 f3) -#639 := (if #385 #646 #638) -#596 := (or #612 #639) -#599 := (iff #596 #616) -#601 := (iff #616 #616) -#602 := [rewrite]: #601 -#614 := (iff #639 #621) -#619 := (if false #646 #621) -#611 := (iff #619 #621) -#613 := [rewrite]: #611 -#624 := (iff #639 #619) -#622 := (iff #638 #621) -#618 := (iff #637 #617) -#626 := (iff #627 #632) -#630 := (= #625 #629) -#635 := (= #628 #648) -#640 := [monotonicity #405]: #635 -#631 := [monotonicity #640]: #630 -#633 := [monotonicity #631]: #626 -#620 := [monotonicity #682 #633]: #618 -#623 := [monotonicity #620]: #622 -#610 := [monotonicity #702 #623]: #624 -#615 := [trans #610 #613]: #614 -#600 := [monotonicity #615]: #599 -#603 := [trans #600 #602]: #599 -#597 := [quant-inst #7 #10]: #596 -#604 := [mp #597 #603]: #616 -#573 := [unit-resolution #604 #725]: #621 -#578 := (not #621) -#583 := (or #578 #384 #617) -#584 := [def-axiom]: #583 -#575 := [unit-resolution #584 #573]: #574 -#571 := [unit-resolution #575 #566]: #617 -#652 := (not #677) -#587 := (not #617) -#430 := (or #662 #587 #652) -#608 := (>= #634 0::Int) -#489 := [hypothesis]: #617 -#490 := [hypothesis]: #304 -#588 := (or #587 #662 #636) -#590 := [def-axiom]: #588 -#497 := [unit-resolution #590 #490 #489]: #636 -#593 := (not #636) -#438 := (or #593 #608) -#439 := [th-lemma arith triangle-eq]: #438 -#440 := [unit-resolution #439 #497]: #608 -#495 := (>= #374 0::Int) -#480 := [hypothesis]: #677 -#650 := (or #652 #662 #375) -#653 := [def-axiom]: #650 -#481 := [unit-resolution #653 #490 #480]: #375 -#537 := (not #375) -#441 := (or #537 #495) -#442 := [th-lemma arith triangle-eq]: #441 -#443 := [unit-resolution #442 #481]: #495 -#169 := (* -1::Int #15) -#168 := (* -3::Int #11) -#170 := (+ f3 #168 #169) -#298 := (<= #170 0::Int) -#444 := (not #298) -#383 := (>= #170 0::Int) -#503 := (not #383) -#504 := [hypothesis]: #503 -#529 := (or #384 #383) -#329 := (or #662 #383 #587 #652) -#607 := (<= #634 0::Int) -#499 := (or #593 #607) -#500 := [th-lemma arith triangle-eq]: #499 -#501 := [unit-resolution #500 #497]: #607 -#502 := (* -3::Int #493) -#557 := (+ f3 #647 #502) -#532 := (>= #557 0::Int) -#556 := (= #557 0::Int) -#1 := true -#164 := [true-axiom]: true -#505 := (or false #556) -#506 := [th-lemma arith]: #505 -#507 := [unit-resolution #506 #164]: #556 -#508 := (not #556) -#491 := (or #508 #532) -#509 := [th-lemma arith triangle-eq]: #491 -#479 := [unit-resolution #509 #507]: #532 -#494 := (<= #374 0::Int) -#482 := (or #537 #494) -#484 := [th-lemma arith triangle-eq]: #482 -#485 := [unit-resolution #484 #481]: #494 -#486 := [th-lemma arith farkas 3 -1 1 1 #485 #479 #504 #501]: false -#487 := [lemma #486]: #329 -#576 := [unit-resolution #487 #571 #504 #568]: #662 -#660 := (or #304 #388) -#654 := [def-axiom]: #660 -#538 := [unit-resolution #654 #576]: #388 -#655 := (or #304 #369) -#661 := [def-axiom]: #655 -#562 := [unit-resolution #661 #576]: #369 -#563 := (or #384 #695 #409) -#558 := [th-lemma arith triangle-eq]: #563 -#498 := [unit-resolution #558 #562 #538 #566]: false -#525 := [lemma #498]: #529 -#526 := [unit-resolution #525 #504]: #384 -#527 := (or #530 #369) -#512 := [th-lemma arith triangle-eq]: #527 -#528 := [unit-resolution #512 #526]: #369 -#605 := (<= #15 0::Int) -#564 := (or #530 #643) -#579 := (or #578 #530 #643) -#582 := [def-axiom]: #579 -#483 := [unit-resolution #582 #573]: #564 -#488 := [unit-resolution #483 #526]: #643 -#585 := (not #643) -#467 := (or #585 #605) -#470 := [th-lemma arith triangle-eq]: #467 -#474 := [unit-resolution #470 #488]: #605 -#658 := (<= #11 0::Int) -#476 := (or #530 #387) -#545 := (or #645 #530 #387) -#547 := [def-axiom]: #545 -#477 := [unit-resolution #547 #570]: #476 -#475 := [unit-resolution #477 #526]: #387 -#549 := (not #387) -#478 := (or #549 #658) -#466 := [th-lemma arith triangle-eq]: #478 -#469 := [unit-resolution #466 #475]: #658 -#471 := [th-lemma arith farkas -3 -1 -1 1 #469 #474 #504 #528]: false -#472 := [lemma #471]: #383 -#435 := (or #444 #503) -#171 := (= #170 0::Int) -#174 := (not #171) -#58 := (* 3::Int #11) -#61 := (+ #58 #15) -#64 := (= f3 #61) -#67 := (not #64) -#175 := (iff #67 #174) -#172 := (iff #64 #171) -#173 := [rewrite]: #172 +#198 := (iff #50 #195) +#168 := (if #32 #43 #163) +#171 := (if #24 0::Int #168) +#174 := (if #25 #19 #171) +#177 := (= #42 #174) +#180 := (forall (vars (?v0 Int) (?v1 Int)) #177) +#196 := (iff #180 #195) +#193 := (iff #177 #192) +#190 := (= #174 #189) +#187 := (= #171 #186) +#184 := (= #168 #183) +#185 := [monotonicity #140]: #184 +#188 := [monotonicity #185]: #187 +#191 := [monotonicity #188]: #190 +#194 := [monotonicity #191]: #193 +#197 := [quant-intro #194]: #196 +#181 := (iff #50 #180) +#178 := (iff #49 #177) +#175 := (= #48 #174) +#172 := (= #47 #171) +#169 := (= #46 #168) +#166 := (= #45 #163) +#160 := (- #157) +#164 := (= #160 #163) +#165 := [rewrite]: #164 +#161 := (= #45 #160) +#158 := (= #44 #157) +#159 := [monotonicity #101 #104]: #158 +#162 := [monotonicity #159]: #161 +#167 := [trans #162 #165]: #166 +#170 := [monotonicity #167]: #169 +#173 := [monotonicity #170]: #172 #176 := [monotonicity #173]: #175 +#179 := [monotonicity #176]: #178 +#182 := [quant-intro #179]: #181 +#199 := [trans #182 #197]: #198 +#156 := [asserted]: #50 +#200 := [mp #156 #199]: #195 +#203 := [mp~ #200 #207]: #195 +#251 := [mp #203 #250]: #248 +#282 := [mp #251 #281]: #279 +#770 := [mp #282 #769]: #765 +#657 := (not #765) +#661 := (or #657 #666) +#673 := (mod #752 #753) +#670 := (+ #15 #673) +#672 := (= #670 0::Int) +#682 := (if #408 #681 #672) +#683 := (if #429 #688 #682) +#691 := (= #15 f3) +#684 := (if #430 #691 #683) +#641 := (or #657 #684) +#644 := (iff #641 #661) +#646 := (iff #661 #661) +#647 := [rewrite]: #646 +#659 := (iff #684 #666) +#664 := (if false #691 #666) +#656 := (iff #664 #666) +#658 := [rewrite]: #656 +#669 := (iff #684 #664) +#667 := (iff #683 #666) +#663 := (iff #682 #662) +#671 := (iff #672 #677) +#675 := (= #670 #674) +#680 := (= #673 #693) +#685 := [monotonicity #450]: #680 +#676 := [monotonicity #685]: #675 +#678 := [monotonicity #676]: #671 +#665 := [monotonicity #727 #678]: #663 +#668 := [monotonicity #665]: #667 +#655 := [monotonicity #747 #668]: #669 +#660 := [trans #655 #658]: #659 +#645 := [monotonicity #660]: #644 +#648 := [trans #645 #647]: #644 +#642 := [quant-inst #7 #10]: #641 +#649 := [mp #642 #648]: #661 +#577 := [unit-resolution #649 #770]: #666 +#623 := (not #666) +#628 := (or #623 #429 #662) +#629 := [def-axiom]: #628 +#512 := [unit-resolution #629 #577]: #533 +#515 := [unit-resolution #512 #571]: #662 +#697 := (not #722) +#632 := (not #662) +#476 := (or #707 #632 #697) +#653 := (>= #679 0::Int) +#535 := [hypothesis]: #662 +#542 := [hypothesis]: #350 +#633 := (or #632 #707 #681) +#635 := [def-axiom]: #633 +#544 := [unit-resolution #635 #542 #535]: #681 +#638 := (not #681) +#484 := (or #638 #653) +#485 := [th-lemma arith triangle-eq]: #484 +#486 := [unit-resolution #485 #544]: #653 +#540 := (>= #419 0::Int) +#526 := [hypothesis]: #722 +#695 := (or #697 #707 #420) +#698 := [def-axiom]: #695 +#527 := [unit-resolution #698 #542 #526]: #420 +#582 := (not #420) +#487 := (or #582 #540) +#488 := [th-lemma arith triangle-eq]: #487 +#489 := [unit-resolution #488 #527]: #540 +#86 := (* -1::Int #15) +#84 := (* -3::Int #11) +#87 := (+ #84 #86) +#88 := (+ f3 #87) +#344 := (<= #88 0::Int) +#490 := (not #344) +#428 := (>= #88 0::Int) +#549 := (not #428) +#550 := [hypothesis]: #549 +#514 := (or #429 #428) +#532 := (or #707 #428 #632 #697) +#652 := (<= #679 0::Int) +#545 := (or #638 #652) +#546 := [th-lemma arith triangle-eq]: #545 +#548 := [unit-resolution #546 #544]: #652 +#547 := (* -3::Int #538) +#602 := (+ #692 #547) +#583 := (+ f3 #602) +#584 := (>= #583 0::Int) +#601 := (= #583 0::Int) +#1 := true +#68 := [true-axiom]: true +#551 := (or false #601) +#552 := [th-lemma arith]: #551 +#553 := [unit-resolution #552 #68]: #601 +#536 := (not #601) +#554 := (or #536 #584) +#524 := [th-lemma arith triangle-eq]: #554 +#525 := [unit-resolution #524 #553]: #584 +#539 := (<= #419 0::Int) +#529 := (or #582 #539) +#530 := [th-lemma arith triangle-eq]: #529 +#531 := [unit-resolution #530 #527]: #539 +#374 := [th-lemma arith farkas 3 -1 1 1 #531 #525 #550 #548]: false +#528 := [lemma #374]: #532 +#519 := [unit-resolution #528 #515 #550 #534]: #707 +#705 := (or #350 #433) +#699 := [def-axiom]: #705 +#521 := [unit-resolution #699 #519]: #433 +#700 := (or #350 #414) +#706 := [def-axiom]: #700 +#522 := [unit-resolution #706 #519]: #414 +#520 := (or #429 #740 #454) +#523 := [th-lemma arith triangle-eq]: #520 +#511 := [unit-resolution #523 #522 #521 #571]: false +#516 := [lemma #511]: #514 +#517 := [unit-resolution #516 #550]: #429 +#513 := (or #575 #414) +#518 := [th-lemma arith triangle-eq]: #513 +#508 := [unit-resolution #518 #517]: #414 +#650 := (<= #15 0::Int) +#498 := (or #575 #688) +#624 := (or #623 #575 #688) +#627 := [def-axiom]: #624 +#500 := [unit-resolution #627 #577]: #498 +#501 := [unit-resolution #500 #517]: #688 +#630 := (not #688) +#504 := (or #630 #650) +#505 := [th-lemma arith triangle-eq]: #504 +#509 := [unit-resolution #505 #501]: #650 +#703 := (<= #11 0::Int) +#502 := (or #575 #432) +#590 := (or #690 #575 #432) +#592 := [def-axiom]: #590 +#510 := [unit-resolution #592 #572]: #502 +#503 := [unit-resolution #510 #517]: #432 +#594 := (not #432) +#506 := (or #594 #703) +#507 := [th-lemma arith triangle-eq]: #506 +#493 := [unit-resolution #507 #503]: #703 +#495 := [th-lemma arith farkas -3 -1 -1 1 #493 #509 #550 #508]: false +#496 := [lemma #495]: #428 +#492 := (or #490 #549) +#89 := (= #88 0::Int) +#92 := (not #89) #12 := (* #11 3::Int) #16 := (+ #12 #15) #17 := (= f3 #16) #18 := (not #17) -#68 := (iff #18 #67) -#65 := (iff #17 #64) -#62 := (= #16 #61) -#59 := (= #12 #58) -#60 := [rewrite]: #59 -#63 := [monotonicity #60]: #62 -#66 := [monotonicity #63]: #65 -#69 := [monotonicity #66]: #68 -#52 := [asserted]: #18 -#70 := [mp #52 #69]: #67 -#177 := [mp #70 #176]: #174 -#445 := (or #171 #444 #503) -#446 := [th-lemma arith triangle-eq]: #445 -#447 := [unit-resolution #446 #177]: #435 -#424 := [unit-resolution #447 #472]: #444 -#511 := (<= #557 0::Int) -#426 := (or #508 #511) -#427 := [th-lemma arith triangle-eq]: #426 -#428 := [unit-resolution #427 #507]: #511 -#429 := [th-lemma arith farkas -1 1 3 1 #428 #424 #443 #440]: false -#431 := [lemma #429]: #430 -#468 := [unit-resolution #431 #571 #568]: #662 -#531 := [unit-resolution #654 #468]: #388 -#473 := [unit-resolution #661 #468]: #369 -#463 := [unit-resolution #558 #473 #531 #566]: false -#453 := [lemma #463]: #384 -#533 := [unit-resolution #477 #453]: #387 -#540 := (or #549 #659) -#542 := [th-lemma arith triangle-eq]: #540 -#543 := [unit-resolution #542 #533]: #659 -#606 := (>= #15 0::Int) -#544 := [unit-resolution #483 #453]: #643 -#554 := (or #585 #606) -#534 := [th-lemma arith triangle-eq]: #554 -#555 := [unit-resolution #534 #544]: #606 -#510 := (or #530 #388) -#516 := [th-lemma arith triangle-eq]: #510 -#517 := [unit-resolution #516 #453]: #388 -[th-lemma arith farkas -1/3 1/3 1/3 1 #517 #555 #424 #543]: false -44e7de81026e9de87a6d1cf926d12ef2c6a20dc7 86 0 -unsat +#95 := (iff #18 #92) +#71 := (* 3::Int #11) +#74 := (+ #71 #15) +#77 := (= f3 #74) +#80 := (not #77) +#93 := (iff #80 #92) +#90 := (iff #77 #89) +#91 := [rewrite]: #90 +#94 := [monotonicity #91]: #93 +#81 := (iff #18 #80) +#78 := (iff #17 #77) +#75 := (= #16 #74) +#72 := (= #12 #71) +#73 := [rewrite]: #72 +#76 := [monotonicity #73]: #75 +#79 := [monotonicity #76]: #78 +#82 := [monotonicity #79]: #81 +#96 := [trans #82 #94]: #95 +#70 := [asserted]: #18 +#97 := [mp #70 #96]: #92 +#491 := (or #89 #490 #549) +#480 := [th-lemma arith triangle-eq]: #491 +#469 := [unit-resolution #480 #97]: #492 +#471 := [unit-resolution #469 #496]: #490 +#494 := (<= #583 0::Int) +#472 := (or #536 #494) +#473 := [th-lemma arith triangle-eq]: #472 +#474 := [unit-resolution #473 #553]: #494 +#475 := [th-lemma arith farkas -1 1 3 1 #474 #471 #489 #486]: false +#477 := [lemma #475]: #476 +#497 := [unit-resolution #477 #515 #534]: #707 +#479 := [unit-resolution #699 #497]: #433 +#481 := [unit-resolution #706 #497]: #414 +#482 := [unit-resolution #523 #481 #479 #571]: false +#483 := [lemma #482]: #429 +#470 := [unit-resolution #510 #483]: #432 +#478 := (or #594 #704) +#463 := [th-lemma arith triangle-eq]: #478 +#464 := [unit-resolution #463 #470]: #704 +#651 := (>= #15 0::Int) +#465 := [unit-resolution #500 #483]: #688 +#467 := (or #630 #651) +#466 := [th-lemma arith triangle-eq]: #467 +#468 := [unit-resolution #466 #465]: #651 +#457 := (or #575 #433) +#458 := [th-lemma arith triangle-eq]: #457 +#459 := [unit-resolution #458 #483]: #433 +[th-lemma arith farkas -1/3 1/3 1/3 1 #459 #468 #471 #464]: false +unsat +c91002b99b758c3ccb28f44af2851bf6d5b6b3b9 75 0 #2 := false #7 := 0::Int decl f3 :: Int #8 := f3 -#28 := -1::Int -#29 := (* -1::Int f3) -#70 := (>= f3 0::Int) -#73 := (if #70 f3 #29) -#93 := (* -1::Int #73) -#96 := (+ #29 #93) -#97 := (<= #96 0::Int) -#69 := (= #29 #73) -#88 := (not #70) -#94 := (+ f3 #93) -#95 := (<= #94 0::Int) -#68 := (= f3 #73) -#100 := [hypothesis]: #70 -#89 := (or #88 #68) -#90 := [def-axiom]: #89 -#101 := [unit-resolution #90 #100]: #68 -#102 := (not #68) -#103 := (or #102 #95) -#104 := [th-lemma arith triangle-eq]: #103 -#105 := [unit-resolution #104 #101]: #95 -#80 := (>= #73 0::Int) -#84 := (not #80) -#19 := (<= 0::Int f3) -#35 := (if #19 f3 #29) -#40 := (<= 0::Int #35) -#46 := (not #40) -#85 := (iff #46 #84) -#82 := (iff #40 #80) -#76 := (<= 0::Int #73) -#79 := (iff #76 #80) -#81 := [rewrite]: #79 -#77 := (iff #40 #76) -#74 := (= #35 #73) -#71 := (iff #19 #70) -#72 := [rewrite]: #71 -#75 := [monotonicity #72]: #74 -#78 := [monotonicity #75]: #77 -#83 := [trans #78 #81]: #82 -#86 := [monotonicity #83]: #85 +#34 := -1::Int +#35 := (* -1::Int f3) +#47 := (>= f3 0::Int) +#54 := (if #47 f3 #35) +#74 := (* -1::Int #54) +#83 := (+ #35 #74) +#92 := (<= #83 0::Int) +#79 := (= #35 #54) +#48 := (not #47) +#75 := (+ f3 #74) +#82 := (<= #75 0::Int) +#78 := (= f3 #54) +#84 := [hypothesis]: #47 +#80 := (or #48 #78) +#81 := [def-axiom]: #80 +#85 := [unit-resolution #81 #84]: #78 +#86 := (not #78) +#87 := (or #86 #82) +#88 := [th-lemma arith triangle-eq]: #87 +#89 := [unit-resolution #88 #85]: #82 +#63 := (>= #54 0::Int) +#67 := (not #63) #10 := (- f3) #9 := (< f3 0::Int) #11 := (if #9 #10 f3) #12 := (<= 0::Int #11) #13 := (not #12) -#47 := (iff #13 #46) -#41 := (iff #12 #40) -#43 := (iff #40 #40) -#44 := [rewrite]: #43 -#38 := (= #11 #35) -#20 := (not #19) -#32 := (if #20 #29 f3) -#36 := (= #32 #35) +#70 := (iff #13 #67) +#38 := (if #9 #35 f3) +#41 := (<= 0::Int #38) +#44 := (not #41) +#68 := (iff #44 #67) +#65 := (iff #41 #63) +#59 := (<= 0::Int #54) +#62 := (iff #59 #63) +#64 := [rewrite]: #62 +#60 := (iff #41 #59) +#57 := (= #38 #54) +#51 := (if #48 #35 f3) +#55 := (= #51 #54) +#56 := [rewrite]: #55 +#52 := (= #38 #51) +#49 := (iff #9 #48) +#50 := [rewrite]: #49 +#53 := [monotonicity #50]: #52 +#58 := [trans #53 #56]: #57 +#61 := [monotonicity #58]: #60 +#66 := [trans #61 #64]: #65 +#69 := [monotonicity #66]: #68 +#45 := (iff #13 #44) +#42 := (iff #12 #41) +#39 := (= #11 #38) +#36 := (= #10 #35) #37 := [rewrite]: #36 -#33 := (= #11 #32) -#30 := (= #10 #29) -#31 := [rewrite]: #30 -#21 := (iff #9 #20) -#25 := (iff #20 #20) -#23 := (iff #19 #19) -#24 := [rewrite]: #23 -#26 := [monotonicity #24]: #25 -#22 := [rewrite]: #21 -#27 := [trans #22 #26]: #21 -#34 := [monotonicity #27 #31]: #33 -#39 := [trans #34 #37]: #38 -#42 := [monotonicity #39]: #41 -#45 := [trans #42 #44]: #41 -#48 := [monotonicity #45]: #47 -#15 := [asserted]: #13 -#49 := [mp #15 #48]: #46 -#87 := [mp #49 #86]: #84 -#106 := [th-lemma arith farkas -1 1 1 #100 #87 #105]: false -#107 := [lemma #106]: #88 -#91 := (or #70 #69) -#92 := [def-axiom]: #91 -#99 := [unit-resolution #92 #107]: #69 -#108 := (not #69) -#109 := (or #108 #97) -#110 := [th-lemma arith triangle-eq]: #109 -#111 := [unit-resolution #110 #99]: #97 -[th-lemma arith farkas 1 1 1 #87 #107 #111]: false -6eee9e55ae7eb673a1282f59fcbd03d15f5bb9fe 165 0 -unsat +#40 := [monotonicity #37]: #39 +#43 := [monotonicity #40]: #42 +#46 := [monotonicity #43]: #45 +#71 := [trans #46 #69]: #70 +#33 := [asserted]: #13 +#72 := [mp #33 #71]: #67 +#90 := [th-lemma arith farkas -1 1 1 #84 #72 #89]: false +#91 := [lemma #90]: #48 +#76 := (or #47 #79) +#77 := [def-axiom]: #76 +#94 := [unit-resolution #77 #91]: #79 +#95 := (not #79) +#96 := (or #95 #92) +#97 := [th-lemma arith triangle-eq]: #96 +#98 := [unit-resolution #97 #94]: #92 +[th-lemma arith farkas 1 1 1 #72 #91 #98]: false +unsat +f7d5d4604fbbb605eaa83e4616aa639b578e2c1f 103 0 #2 := false #8 := 0::Int decl f3 :: Int #7 := f3 -#30 := -1::Int -#31 := (* -1::Int f3) -#78 := (>= f3 0::Int) -#81 := (if #78 f3 #31) -#77 := (>= #81 0::Int) -#95 := (not #77) -#76 := (<= #81 0::Int) -#94 := (not #76) -#96 := (or #94 #95) -#145 := (* -1::Int #81) -#148 := (+ #31 #145) -#162 := (<= #148 0::Int) -#119 := (= #31 #81) -#109 := (not #78) -#107 := (<= f3 0::Int) -#108 := (not #107) -#110 := (or #108 #109) -#97 := (not #96) -#164 := [hypothesis]: #97 -#139 := (or #96 #110) -#111 := (not #110) -#114 := (iff #96 #111) +#36 := -1::Int +#37 := (* -1::Int f3) +#58 := (>= f3 0::Int) +#65 := (if #58 f3 #37) +#70 := (= #65 0::Int) #13 := (= f3 0::Int) -#84 := (= #81 0::Int) -#87 := (not #84) -#90 := (iff #87 #13) -#115 := (iff #90 #114) -#112 := (iff #13 #111) -#113 := [rewrite]: #112 -#105 := (iff #87 #96) -#100 := (not #97) -#103 := (iff #100 #96) -#104 := [rewrite]: #103 -#101 := (iff #87 #100) -#98 := (iff #84 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#106 := [trans #102 #104]: #105 -#116 := [monotonicity #106 #113]: #115 -#21 := (<= 0::Int f3) -#37 := (if #21 f3 #31) -#42 := (= #37 0::Int) -#51 := (not #42) -#52 := (iff #51 #13) -#91 := (iff #52 #90) -#88 := (iff #51 #87) -#85 := (iff #42 #84) -#82 := (= #37 #81) -#79 := (iff #21 #78) -#80 := [rewrite]: #79 -#83 := [monotonicity #80]: #82 -#86 := [monotonicity #83]: #85 -#89 := [monotonicity #86]: #88 -#92 := [monotonicity #89]: #91 +#118 := (iff #13 #70) +#87 := (= f3 #65) +#101 := (<= #37 0::Int) +#100 := (= #37 0::Int) +#84 := (not #13) +#59 := (not #58) +#103 := [hypothesis]: #59 +#104 := (or #84 #58) +#105 := [th-lemma arith triangle-eq]: #104 +#106 := [unit-resolution #105 #103]: #84 +#98 := (or #70 #13) +#73 := (not #70) +#76 := (iff #73 #13) #10 := (- f3) #9 := (< f3 0::Int) #11 := (if #9 #10 f3) #12 := (= #11 0::Int) #14 := (iff #12 #13) #15 := (not #14) -#55 := (iff #15 #52) -#45 := (iff #42 #13) -#48 := (not #45) -#53 := (iff #48 #52) -#54 := [rewrite]: #53 -#49 := (iff #15 #48) -#46 := (iff #14 #45) -#43 := (iff #12 #42) -#40 := (= #11 #37) -#22 := (not #21) -#34 := (if #22 #31 f3) -#38 := (= #34 #37) +#79 := (iff #15 #76) +#40 := (if #9 #37 f3) +#43 := (= #40 0::Int) +#52 := (not #43) +#53 := (iff #52 #13) +#77 := (iff #53 #76) +#74 := (iff #52 #73) +#71 := (iff #43 #70) +#68 := (= #40 #65) +#62 := (if #59 #37 f3) +#66 := (= #62 #65) +#67 := [rewrite]: #66 +#63 := (= #40 #62) +#60 := (iff #9 #59) +#61 := [rewrite]: #60 +#64 := [monotonicity #61]: #63 +#69 := [trans #64 #67]: #68 +#72 := [monotonicity #69]: #71 +#75 := [monotonicity #72]: #74 +#78 := [monotonicity #75]: #77 +#56 := (iff #15 #53) +#46 := (iff #43 #13) +#49 := (not #46) +#54 := (iff #49 #53) +#55 := [rewrite]: #54 +#50 := (iff #15 #49) +#47 := (iff #14 #46) +#44 := (iff #12 #43) +#41 := (= #11 #40) +#38 := (= #10 #37) #39 := [rewrite]: #38 -#35 := (= #11 #34) -#32 := (= #10 #31) -#33 := [rewrite]: #32 -#23 := (iff #9 #22) -#27 := (iff #22 #22) -#25 := (iff #21 #21) -#26 := [rewrite]: #25 -#28 := [monotonicity #26]: #27 -#24 := [rewrite]: #23 -#29 := [trans #24 #28]: #23 -#36 := [monotonicity #29 #33]: #35 -#41 := [trans #36 #39]: #40 -#44 := [monotonicity #41]: #43 -#47 := [monotonicity #44]: #46 -#50 := [monotonicity #47]: #49 -#56 := [trans #50 #54]: #55 -#17 := [asserted]: #15 -#57 := [mp #17 #56]: #52 -#93 := [mp #57 #92]: #90 -#117 := [mp #93 #116]: #114 -#136 := (not #114) -#137 := (or #96 #110 #136) -#138 := [def-axiom]: #137 -#140 := [unit-resolution #138 #117]: #139 -#165 := [unit-resolution #140 #164]: #110 -#124 := (or #96 #76) -#125 := [def-axiom]: #124 -#166 := [unit-resolution #125 #164]: #76 -#160 := (or #107 #94) -#146 := (+ f3 #145) -#147 := (<= #146 0::Int) -#118 := (= f3 #81) -#149 := [hypothesis]: #108 -#150 := (or #107 #78) -#151 := [th-lemma arith farkas 1 1]: #150 -#152 := [unit-resolution #151 #149]: #78 -#120 := (or #109 #118) -#121 := [def-axiom]: #120 -#153 := [unit-resolution #121 #152]: #118 -#154 := (not #118) -#155 := (or #154 #147) -#156 := [th-lemma arith triangle-eq]: #155 -#157 := [unit-resolution #156 #153]: #147 -#158 := [hypothesis]: #76 -#159 := [th-lemma arith farkas -1 1 1 #149 #158 #157]: false -#161 := [lemma #159]: #160 -#167 := [unit-resolution #161 #166]: #107 -#134 := (or #111 #108 #109) -#135 := [def-axiom]: #134 -#168 := [unit-resolution #135 #167 #165]: #109 -#122 := (or #78 #119) -#123 := [def-axiom]: #122 -#169 := [unit-resolution #123 #168]: #119 -#170 := (not #119) -#171 := (or #170 #162) -#172 := [th-lemma arith triangle-eq]: #171 -#173 := [unit-resolution #172 #169]: #162 -#174 := [th-lemma arith farkas 1 1 1 #166 #168 #173]: false -#175 := [lemma #174]: #96 -#143 := (or #97 #111) -#141 := (or #97 #111 #136) -#142 := [def-axiom]: #141 -#144 := [unit-resolution #142 #117]: #143 -#176 := [unit-resolution #144 #175]: #111 -#132 := (or #110 #78) -#133 := [def-axiom]: #132 -#177 := [unit-resolution #133 #176]: #78 -#178 := [unit-resolution #121 #177]: #118 -#179 := [unit-resolution #156 #178]: #147 -#180 := (not #147) -#181 := (or #77 #109 #180) -#182 := [th-lemma arith assign-bounds -1 1]: #181 -#183 := [unit-resolution #182 #177 #179]: #77 -#163 := (>= #146 0::Int) -#184 := (or #154 #163) -#185 := [th-lemma arith triangle-eq]: #184 -#186 := [unit-resolution #185 #178]: #163 -#130 := (or #110 #107) -#131 := [def-axiom]: #130 -#187 := [unit-resolution #131 #176]: #107 -#188 := (not #163) -#189 := (or #76 #108 #188) -#190 := [th-lemma arith assign-bounds -1 1]: #189 -#191 := [unit-resolution #190 #187 #186]: #76 -#128 := (or #97 #94 #95) -#129 := [def-axiom]: #128 -[unit-resolution #129 #191 #183 #175]: false -1f4bd6ea16be20cad268dc7281facb65139024ab 130 0 -unsat +#42 := [monotonicity #39]: #41 +#45 := [monotonicity #42]: #44 +#48 := [monotonicity #45]: #47 +#51 := [monotonicity #48]: #50 +#57 := [trans #51 #55]: #56 +#80 := [trans #57 #78]: #79 +#35 := [asserted]: #15 +#81 := [mp #35 #80]: #76 +#91 := (not #76) +#96 := (or #70 #13 #91) +#97 := [def-axiom]: #96 +#99 := [unit-resolution #97 #81]: #98 +#107 := [unit-resolution #99 #106]: #70 +#88 := (= #37 #65) +#85 := (or #58 #88) +#86 := [def-axiom]: #85 +#108 := [unit-resolution #86 #103]: #88 +#109 := [trans #108 #107]: #100 +#110 := (not #100) +#111 := (or #110 #101) +#112 := [th-lemma arith triangle-eq]: #111 +#113 := [unit-resolution #112 #109]: #101 +#114 := [th-lemma arith farkas 1 1 #103 #113]: false +#115 := [lemma #114]: #58 +#89 := (or #59 #87) +#90 := [def-axiom]: #89 +#117 := [unit-resolution #90 #115]: #87 +#119 := [monotonicity #117]: #118 +#120 := (iff #84 #73) +#121 := [monotonicity #119]: #120 +#102 := [hypothesis]: #84 +#122 := [mp #102 #121]: #73 +#116 := [unit-resolution #99 #102]: #70 +#123 := [unit-resolution #116 #122]: false +#124 := [lemma #123]: #13 +#126 := [mp #124 #119]: #70 +#94 := (or #73 #84) +#92 := (or #73 #84 #91) +#93 := [def-axiom]: #92 +#95 := [unit-resolution #93 #81]: #94 +#125 := [unit-resolution #95 #124]: #73 +[unit-resolution #125 #126]: false +unsat +a86d5276873d6d3bf936c62241af1fdd8cbbc24a 102 0 #2 := false #7 := 0::Int decl f3 :: Int #8 := f3 -#29 := -1::Int -#30 := (* -1::Int f3) -#76 := (>= f3 0::Int) -#82 := (if #76 f3 #30) -#75 := (* -1::Int #82) -#130 := (+ #30 #75) -#131 := (<= #130 0::Int) -#110 := (= #30 #82) -#79 := (not #76) -#92 := (+ f3 #75) -#93 := (<= #92 0::Int) -#95 := (not #93) -#74 := (>= #92 0::Int) -#94 := (not #74) -#96 := (or #94 #95) -#97 := (not #96) -#109 := (= f3 #82) -#133 := (not #109) -#134 := [hypothesis]: #133 -#111 := (or #79 #109) -#112 := [def-axiom]: #111 -#135 := [unit-resolution #112 #134]: #79 -#124 := (or #76 #97) -#103 := (iff #76 #96) -#85 := (= #82 f3) -#88 := (iff #79 #85) -#106 := (iff #88 #103) -#100 := (iff #79 #97) -#104 := (iff #100 #103) -#105 := [rewrite]: #104 -#101 := (iff #88 #100) -#98 := (iff #85 #97) -#99 := [rewrite]: #98 -#102 := [monotonicity #99]: #101 -#107 := [trans #102 #105]: #106 -#9 := (<= 0::Int f3) -#36 := (if #9 f3 #30) -#41 := (= #36 f3) -#23 := (not #9) -#50 := (iff #23 #41) -#89 := (iff #50 #88) -#86 := (iff #41 #85) -#83 := (= #36 #82) -#77 := (iff #9 #76) -#78 := [rewrite]: #77 -#84 := [monotonicity #78]: #83 -#87 := [monotonicity #84]: #86 -#80 := (iff #23 #79) -#81 := [monotonicity #78]: #80 -#90 := [monotonicity #81 #87]: #89 +#36 := -1::Int +#37 := (* -1::Int f3) +#112 := (* -1::Int #37) +#113 := (+ f3 #112) +#115 := (>= #113 0::Int) +#111 := (= f3 #37) +#58 := (>= f3 0::Int) +#69 := (if #58 f3 #37) +#119 := (= #69 #37) +#89 := (= #37 #69) +#61 := (not #58) +#74 := (= #69 f3) +#88 := (= f3 #69) +#105 := (not #88) +#84 := (not #74) +#106 := (iff #84 #105) +#103 := (iff #74 #88) +#104 := [commutativity]: #103 +#107 := [monotonicity #104]: #106 +#100 := [hypothesis]: #84 +#108 := [mp #100 #107]: #105 +#98 := (or #58 #74) +#77 := (iff #61 #74) #11 := (- f3) #10 := (< f3 0::Int) #12 := (if #10 #11 f3) #13 := (= #12 f3) +#9 := (<= 0::Int f3) #14 := (iff #9 #13) #15 := (not #14) -#53 := (iff #15 #50) -#44 := (iff #9 #41) -#47 := (not #44) -#51 := (iff #47 #50) -#52 := [rewrite]: #51 -#48 := (iff #15 #47) -#45 := (iff #14 #44) -#42 := (iff #13 #41) -#39 := (= #12 #36) -#33 := (if #23 #30 f3) -#37 := (= #33 #36) -#38 := [rewrite]: #37 -#34 := (= #12 #33) -#31 := (= #11 #30) -#32 := [rewrite]: #31 -#24 := (iff #10 #23) -#26 := (iff #23 #23) -#21 := (iff #9 #9) -#22 := [rewrite]: #21 -#27 := [monotonicity #22]: #26 -#25 := [rewrite]: #24 -#28 := [trans #25 #27]: #24 -#35 := [monotonicity #28 #32]: #34 -#40 := [trans #35 #38]: #39 -#43 := [monotonicity #40]: #42 -#46 := [monotonicity #22 #43]: #45 -#49 := [monotonicity #46]: #48 -#54 := [trans #49 #52]: #53 -#17 := [asserted]: #15 -#55 := [mp #17 #54]: #50 -#91 := [mp #55 #90]: #88 -#108 := [mp #91 #107]: #103 -#121 := (not #103) -#122 := (or #76 #97 #121) -#123 := [def-axiom]: #122 -#125 := [unit-resolution #123 #108]: #124 -#136 := [unit-resolution #125 #135]: #97 -#117 := (or #96 #93) -#118 := [def-axiom]: #117 -#137 := [unit-resolution #118 #136]: #93 -#115 := (or #96 #74) -#116 := [def-axiom]: #115 -#138 := [unit-resolution #116 #136]: #74 -#139 := (or #109 #95 #94) -#140 := [th-lemma arith triangle-eq]: #139 -#141 := [unit-resolution #140 #134 #138 #137]: false -#142 := [lemma #141]: #109 -#143 := (or #133 #74) -#144 := [th-lemma arith triangle-eq]: #143 -#145 := [unit-resolution #144 #142]: #74 -#146 := (or #133 #93) -#147 := [th-lemma arith triangle-eq]: #146 -#148 := [unit-resolution #147 #142]: #93 -#119 := (or #97 #94 #95) -#120 := [def-axiom]: #119 -#149 := [unit-resolution #120 #148 #145]: #97 -#128 := (or #79 #96) -#126 := (or #79 #96 #121) -#127 := [def-axiom]: #126 -#129 := [unit-resolution #127 #108]: #128 -#150 := [unit-resolution #129 #149]: #79 -#113 := (or #76 #110) -#114 := [def-axiom]: #113 -#151 := [unit-resolution #114 #150]: #110 -#152 := (not #110) -#153 := (or #152 #131) -#154 := [th-lemma arith triangle-eq]: #153 -#155 := [unit-resolution #154 #151]: #131 -[th-lemma arith farkas 2 1 1 #150 #145 #155]: false -d4189e2ade5b8393242e31d994e5b087c3842ddf 143 0 +#80 := (iff #15 #77) +#40 := (if #10 #37 f3) +#43 := (= #40 f3) +#52 := (not #9) +#53 := (iff #52 #43) +#78 := (iff #53 #77) +#75 := (iff #43 #74) +#72 := (= #40 #69) +#66 := (if #61 #37 f3) +#70 := (= #66 #69) +#71 := [rewrite]: #70 +#67 := (= #40 #66) +#64 := (iff #10 #61) +#65 := [rewrite]: #64 +#68 := [monotonicity #65]: #67 +#73 := [trans #68 #71]: #72 +#76 := [monotonicity #73]: #75 +#62 := (iff #52 #61) +#59 := (iff #9 #58) +#60 := [rewrite]: #59 +#63 := [monotonicity #60]: #62 +#79 := [monotonicity #63 #76]: #78 +#56 := (iff #15 #53) +#46 := (iff #9 #43) +#49 := (not #46) +#54 := (iff #49 #53) +#55 := [rewrite]: #54 +#50 := (iff #15 #49) +#47 := (iff #14 #46) +#44 := (iff #13 #43) +#41 := (= #12 #40) +#38 := (= #11 #37) +#39 := [rewrite]: #38 +#42 := [monotonicity #39]: #41 +#45 := [monotonicity #42]: #44 +#48 := [monotonicity #45]: #47 +#51 := [monotonicity #48]: #50 +#57 := [trans #51 #55]: #56 +#81 := [trans #57 #79]: #80 +#35 := [asserted]: #15 +#82 := [mp #35 #81]: #77 +#85 := (not #77) +#96 := (or #58 #74 #85) +#97 := [def-axiom]: #96 +#99 := [unit-resolution #97 #82]: #98 +#101 := [unit-resolution #99 #100]: #58 +#90 := (or #61 #88) +#91 := [def-axiom]: #90 +#102 := [unit-resolution #91 #101]: #88 +#109 := [unit-resolution #102 #108]: false +#110 := [lemma #109]: #74 +#94 := (or #61 #84) +#92 := (or #61 #84 #85) +#93 := [def-axiom]: #92 +#95 := [unit-resolution #93 #82]: #94 +#116 := [unit-resolution #95 #110]: #61 +#86 := (or #58 #89) +#87 := [def-axiom]: #86 +#117 := [unit-resolution #87 #116]: #89 +#120 := [symm #117]: #119 +#118 := [symm #110]: #88 +#121 := [trans #118 #120]: #111 +#122 := (not #111) +#123 := (or #122 #115) +#124 := [th-lemma arith triangle-eq]: #123 +#125 := [unit-resolution #124 #121]: #115 +[th-lemma arith farkas 2 1 #116 #125]: false +unsat +1d4370f4d13676652ec1fdf0e92ac69e5f27e6bc 143 0 #2 := false #8 := 0::Int decl f3 :: Int @@ -43592,7 +40814,7 @@ #166 := [unit-resolution #99 #162]: #52 [th-lemma arith farkas 2 1 1 #166 #165 #161]: false unsat -6e505bbe74d8a0cc7b4aa4675a487119e8023d46 116 0 +2b84e732fcc2714735cd598d8c722a6eb6af2d0d 116 0 #2 := false #8 := 0::Int decl f3 :: Int @@ -43709,7 +40931,7 @@ #147 := [unit-resolution #146 #143]: #141 [th-lemma arith farkas 1 1 1 #140 #138 #147]: false unsat -b84cd4b4d4f113193dc5e0fed03847844f8dc058 57 0 +9936c013aaffef1779de3d0aed544f8c88008f68 57 0 #2 := false #14 := 0::Int decl f4 :: Int @@ -43767,7 +40989,7 @@ #79 := [unit-resolution #78 #75]: #73 [th-lemma arith farkas 1 1 1 #58 #74 #79]: false unsat -57cb3c449627b0e103d175fe91d160e37eb458b9 57 0 +92b8d5040546ba1e7f64484d25bbbd4c81b10ebb 57 0 #2 := false #14 := 0::Int decl f4 :: Int @@ -43825,7 +41047,7 @@ #79 := [th-lemma arith triangle-eq]: #78 [unit-resolution #79 #76 #58]: false unsat -ead5d10b3d302f37ae6691af9bffd34bbe254dbf 103 0 +4790a8f58d0e5e129b7570eac05a8802b41105cc 103 0 #2 := false #19 := 0::Int decl f5 :: Int @@ -43929,7 +41151,7 @@ #124 := [unit-resolution #123 #120]: #117 [th-lemma arith farkas -1 -1 1 #124 #94 #95]: false unsat -0b3e4057c520e862b76979ea431eac352d39a39b 94 0 +3023c6408a65f8e0a7c485f4d2c4804457e87603 94 0 #2 := false decl f3 :: Int #7 := f3 @@ -44024,7 +41246,7 @@ #117 := [trans #116 #112]: #53 [unit-resolution #59 #117]: false unsat -c34966074811c5f7bd6d1d6b1a5efd6aba6c7ebc 53 0 +578d0e90251e6cdccfeca9dee8a741fa13906118 53 0 #2 := false #7 := 0::Int decl f3 :: Int @@ -44078,7 +41300,7 @@ #75 := [trans #74 #71]: #12 [unit-resolution #59 #75]: false unsat -27e0298cf8da33cbbea5b9b24d6cd2a5d79bcdcc 124 0 +269e3d24017640dc0306b86823b964d47dcf1328 124 0 #2 := false #12 := 0::Int decl f4 :: Int @@ -44203,7 +41425,7 @@ #147 := [unit-resolution #114 #146]: #108 [th-lemma arith farkas 1/2 3/2 1 1 1 #145 #133 #87 #143 #147]: false unsat -6172e7a5fce8d6d8bfd1cb6db3a242b38caaaf52 57 0 +1d8c0a442e62239de5b308a0ab90a7e051e0c053 57 0 #2 := false #14 := 0::Int decl f3 :: Int @@ -44261,7 +41483,7 @@ #79 := [th-lemma arith triangle-eq]: #78 [unit-resolution #79 #76 #58]: false unsat -eb721fdcb56947acb47cbd291d0d784fc39e4176 57 0 +33356681256058514a33561c44762f0ba6ed5330 57 0 #2 := false #14 := 0::Int decl f4 :: Int @@ -44319,7 +41541,7 @@ #79 := [unit-resolution #78 #75]: #72 [th-lemma arith farkas 1 1 1 #58 #74 #79]: false unsat -34a316044a78671ecbd5861430fe1013fee421ec 103 0 +f450c8992954aa7e8354d82bf2535ed9619b8684 103 0 #2 := false #19 := 0::Int decl f3 :: Int @@ -44423,7 +41645,7 @@ #124 := [unit-resolution #123 #120]: #118 [th-lemma arith farkas -1 1 1 #124 #93 #95]: false unsat -3fa37a402d59529838df2e5f73f6f77682f7982d 96 0 +dc09c2944521a51fac5d926e6bf8729bfa0f3e92 96 0 #2 := false decl f4 :: Int #8 := f4 @@ -44520,7 +41742,7 @@ #119 := [trans #118 #114]: #53 [unit-resolution #59 #119]: false unsat -f995c21ac02db2a6cac2e38b26761e729e79b379 60 0 +3742caaf5383415a6af8d6cc983e20de965a2c95 60 0 #2 := false decl f3 :: Int #8 := f3 @@ -44581,7 +41803,7 @@ #82 := [trans #79 #81]: #68 [unit-resolution #74 #82]: false unsat -05cfbef4515b026ca06ebf58a35758847fe6425e 214 0 +2fb3cafc864ef15c2b5fc68d255cca5586a02215 214 0 #2 := false #8 := 0::Int decl f4 :: Int @@ -44796,7 +42018,7 @@ #238 := [unit-resolution #174 #237]: #162 [th-lemma arith farkas 1 1 1 1 1 1 #212 #227 #133 #229 #238 #236]: false unsat -a4bea54c174a812dc90d41994d00a1b62e09324a 53 0 +6d267e11bf9368fb47a07436e29a6e62106843a6 53 0 #2 := false #10 := 1::Int decl f3 :: Int @@ -44850,7 +42072,7 @@ #63 := [and-elim #62]: #44 [th-lemma arith farkas 1 1 #63 #73]: false unsat -6b1fd4164c9a3bc3b6f6a1779970e5f9a212ac94 18 0 +fa8bb7c26f623612658531ec8179e791dc02e2b0 18 0 #2 := false decl f3 :: Int #7 := f3 @@ -44869,7 +42091,7 @@ #30 := [asserted]: #9 [mp #30 #41]: false unsat -d32e1c3a9584812c7d4ef0093047f73880b01a2e 51 0 +c500db7a265d55897d1b4a11d5a17d5998ebe9ba 51 0 #2 := false decl f4 :: Int #8 := f4 @@ -44921,7 +42143,7 @@ #36 := [asserted]: #15 [mp #36 #70]: false unsat -3ad7098d25ffe898fa92bcf6a3b1bf60731ed829 56 0 +9ac1771d791a430d0a7637ac3d9b4ab1780df97b 56 0 #2 := false decl f4 :: Int #8 := f4 @@ -44978,7 +42200,7 @@ #36 := [asserted]: #15 [mp #36 #75]: false unsat -021a2ccfe2f169916c13de90c0a65b798955c7c4 52 0 +0d0dc16c86e745f503bac8f1609551cac0dec35b 52 0 #2 := false #14 := 0::Int decl f4 :: Int @@ -45031,7 +42253,7 @@ #79 := [unit-resolution #78 #67]: #55 [unit-resolution #79 #69]: false unsat -cd494a327086bb14c2815a5bf50e8d8ef62f947f 73 0 +e17223976134e90d22d663b546f65c41ad005eb7 73 0 #2 := false #54 := -1::Int decl f4 :: Int @@ -45105,7 +42327,7 @@ #81 := [unit-resolution #85 #76]: #80 [unit-resolution #81 #94 #91]: false unsat -945ffcf16061a167fde6a7075ed9332c98f7d17c 15 0 +c2029d4b6a4d4114a4b031b834e2a253b97e4371 15 0 #2 := false decl f3 :: Int #7 := f3 @@ -45121,7 +42343,7 @@ #31 := [asserted]: #10 [mp #31 #37]: false unsat -85f19ade787969483a16e4ebd4b917f9f0234f87 75 0 +28e1620c910a232c81f0832f349f8c958506720d 75 0 #2 := false #17 := 0::Int decl f5 :: Int @@ -45197,7 +42419,7 @@ #91 := [not-or-elim #90]: #68 [th-lemma arith farkas 1 -1 1 #91 #94 #92]: false unsat -931acbba508535ba7d1335a982cf7a172a535d9c 80 0 +dac056ed6e93880024b69dbec647c1c9343924fe 80 0 #2 := false #17 := 0::Int decl f5 :: Int @@ -45278,7 +42500,7 @@ #99 := [not-or-elim #95]: #98 [th-lemma arith farkas 1 1 1 #99 #96 #97]: false unsat -816d4005adca7e29ab45b1020b26b4dce5e836b4 80 0 +a8974893df200f396c634d964eb984c48eec55db 80 0 #2 := false #17 := 0::Int decl f5 :: Int @@ -45359,7 +42581,7 @@ #96 := [not-or-elim #95]: #73 [th-lemma arith farkas 1 1 1 #96 #97 #99]: false unsat -2e4e306dde5e00fefa942379810b423549afc80a 85 0 +b7e0a4eabb9a618e1df287bffee02d5551032ee6 85 0 #2 := false #17 := 0::Int decl f5 :: Int @@ -45445,7 +42667,7 @@ #102 := [not-or-elim #101]: #72 [th-lemma arith farkas 1 1 1 #102 #103 #104]: false unsat -6ff3c7abc0fee4a9e14344b48daedbcf5f5fa00f 69 0 +0d64561170d5f7666bfabd32ae1c1b5265d931e6 69 0 #2 := false #18 := 0::Int decl f5 :: Int @@ -45515,7 +42737,7 @@ #86 := [and-elim #85]: #46 [th-lemma arith farkas 1 1 1 #86 #87 #88]: false unsat -350ef141a75c095cba28d720b8371e2490c8bb19 17 0 +af0350f575bb011825d92c6b725b23ef78ce1fa1 17 0 #2 := false #7 := 0::Real #8 := (= 0::Real 0::Real) @@ -45533,7 +42755,7 @@ #29 := [asserted]: #9 [mp #29 #38]: false unsat -21acd48b54433e537e09b8f6f2ffb24eacd32980 25 0 +1ef636a83dafea60626dc36221ab0791106b1afd 25 0 #2 := false #7 := 0::Real #8 := (- 0::Real) @@ -45559,7 +42781,7 @@ #30 := [asserted]: #10 [mp #30 #46]: false unsat -481d09c848302673296d6da57e855bb3bb5428f4 17 0 +40be88f85c9e0db481ad8ec82bd95178d7fea9fc 17 0 #2 := false #7 := 1::Real #8 := (= 1::Real 1::Real) @@ -45577,7 +42799,7 @@ #30 := [asserted]: #9 [mp #30 #39]: false unsat -7526daf188c418735315464dcb1bae49e4d1c6a4 34 0 +158b50cd7a5340c24e2fc62138c985348713654b 34 0 #2 := false #7 := 1::Real #8 := (- 1::Real) @@ -45612,7 +42834,7 @@ #32 := [asserted]: #11 [mp #32 #56]: false unsat -f989bf5d645754958077a25b45a102186a2c8468 18 0 +6f5d484ec7cfad7af7977254dc019939ebd214cc 18 0 #2 := false #8 := 1::Real #7 := 0::Real @@ -45631,7 +42853,7 @@ #30 := [asserted]: #10 [mp #30 #41]: false unsat -71711cc01c8c80c87657e4ad599846d287b28e35 18 0 +e4647906bb792263dfef92dd4a04fd86cf8efa48 18 0 #2 := false #8 := 1::Real #7 := 0::Real @@ -45650,7 +42872,7 @@ #30 := [asserted]: #10 [mp #30 #41]: false unsat -ea4d13d40e3f40148fe15c5ac2bbd56a3256548a 40 0 +6c6a35c4c4c8290ce89a1005e8de2a68e38ab9f1 40 0 #2 := false #11 := 567::Real #9 := 345::Real @@ -45691,7 +42913,7 @@ #34 := [asserted]: #13 [mp #34 #62]: false unsat -f37864df8bd3862357cec2b2b3e0079ce8f89a8d 18 0 +6cd7f01d0158fe1b48c671f1634290b4c3d0362e 18 0 #2 := false #8 := 2345678901::Real #7 := 123456789::Real @@ -45710,7 +42932,7 @@ #31 := [asserted]: #10 [mp #31 #42]: false unsat -848068d33a75fce3ca7ec5b7cc3564150c9afd1d 30 0 +bd73a6ae0433b55288108717d8c4076884cd2760 30 0 #2 := false #9 := 2345678901::Real #7 := 123456789::Real @@ -45741,7 +42963,7 @@ #32 := [asserted]: #11 [mp #32 #52]: false unsat -31521991dfd970c057cb8150c9652aec59e07704 26 0 +cb2f1c021f02a4a0896a377a14007ceda9f3dfef 26 0 #2 := false decl f3 :: Real #7 := f3 @@ -45768,7 +42990,7 @@ #31 := [asserted]: #11 [mp #31 #46]: false unsat -6757cdf387098ea19b45fbcbcb515eeb487bf8f8 26 0 +df95853dfdf63ff909e7c1d6374a552556297148 26 0 #2 := false decl f3 :: Real #8 := f3 @@ -45795,7 +43017,7 @@ #31 := [asserted]: #11 [mp #31 #46]: false unsat -3f2d195dd68cf890f1ca7d83a830eeccc0d57255 29 0 +38e4ae2664df97269d895a97d6a0913820867eda 29 0 #2 := false decl f3 :: Real #7 := f3 @@ -45825,7 +43047,7 @@ #33 := [asserted]: #12 [mp #33 #49]: false unsat -e8a6e64d56abb2bc442b2a42c9dd8c760a528cdb 33 0 +fdc6d9651e9ea1edb706f73f48fa04bf1897ffad 33 0 #2 := false decl f5 :: Real #9 := f5 @@ -45859,7 +43081,7 @@ #36 := [asserted]: #15 [mp #36 #52]: false unsat -da67a8554477e4765556fd0a3f279034168c96a4 45 0 +b90b5c8c12f8e63f42b7158cdc22e7616d773fed 45 0 #2 := false decl f4 :: Real #8 := f4 @@ -45905,7 +43127,7 @@ #35 := [asserted]: #15 [mp #35 #65]: false unsat -6811cc1a4bfad536ab1a6a586c61daecfd29788f 26 0 +44508c3b99ed3ca47c812dcb3cd063b1955bb40d 26 0 #2 := false #7 := 1::Real #8 := (- 1::Real) @@ -45932,7 +43154,7 @@ #31 := [asserted]: #10 [mp #31 #48]: false unsat -aa2cb1d7717b9c49c4e48402428e4ddb7de5523b 26 0 +fce41356fa222cd0ad9967bcbb1e367080f22540 26 0 #2 := false #7 := 3::Real #8 := (- 3::Real) @@ -45959,7 +43181,7 @@ #31 := [asserted]: #10 [mp #31 #48]: false unsat -b82f2c57c3991807ae36eb3352dd673d6ee809c4 53 0 +f92b0a53b26261788a99f1f102e26adc2affa71b 53 0 #2 := false decl f3 :: Real #7 := f3 @@ -46013,7 +43235,7 @@ #33 := [asserted]: #13 [mp #33 #74]: false unsat -49601c2ee192c05037ae2ddde04a749818f5a75e 61 0 +947dbc99dc836af0697bbc290f76c877a29a0775 61 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -46075,7 +43297,7 @@ #33 := [asserted]: #13 [mp #33 #81]: false unsat -51f38431acaaabbe473cf949af6afab6ca1aafcf 61 0 +f85f7c93404a45994b3d3e795113b1a47ef37a6c 61 0 #2 := false decl f3 :: Real #7 := f3 @@ -46137,7 +43359,7 @@ #33 := [asserted]: #13 [mp #33 #81]: false unsat -0b167657d89597cff4ad497a1e580da4d6c11e72 26 0 +d1707afef5a1121f793c4ae15ea4d8dd324a2ebb 26 0 #2 := false decl f3 :: Real #7 := f3 @@ -46164,7 +43386,7 @@ #31 := [asserted]: #11 [mp #31 #46]: false unsat -ccfbfd13a5b76b3c59e23f1d5b1857adca54db23 32 0 +4d2d9e6632b13b50703c8241c824ac4bc60fa851 32 0 #2 := false decl f3 :: Real #8 := f3 @@ -46197,7 +43419,7 @@ #32 := [asserted]: #12 [mp #32 #52]: false unsat -a5fc90b4c796e1c2116bff64e4df36775c337a04 64 0 +f26054cf9e6e46ab9f14eb8b4fa90c23c83e1e20 64 0 #2 := false #11 := 0::Real decl f4 :: Real @@ -46262,7 +43484,7 @@ #34 := [asserted]: #14 [mp #34 #83]: false unsat -7ed72828350129130a88941dee3cc368dd21cb65 44 0 +34a1de7290f4c8a36751d89b547f21ddb0c0cada 44 0 #2 := false decl f3 :: Real #7 := f3 @@ -46307,7 +43529,7 @@ #34 := [asserted]: #13 [mp #34 #64]: false unsat -c431a50fe81f19bdf1df51651ad04729ae603478 42 0 +431807e85783cee305c53c73752025f626bba5f5 42 0 #2 := false decl f3 :: Real #7 := f3 @@ -46350,7 +43572,7 @@ #34 := [asserted]: #13 [mp #34 #62]: false unsat -65271dc3ab073ac04b3246ac44e6c8414e091882 48 0 +8531d27b75ee018ed4f78df6ab158a7dfda20b74 48 0 #2 := false decl f5 :: Real #10 := f5 @@ -46399,7 +43621,7 @@ #36 := [asserted]: #15 [mp #36 #67]: false unsat -53812613c50ce7830d84e557641bcca3c4812dd5 26 0 +091bb9dd524578370d5c755a79bf57f30adc2896 26 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -46426,7 +43648,7 @@ #31 := [asserted]: #11 [mp #31 #46]: false unsat -856e04187cdbc2035a45396cc77f893736b91735 26 0 +11ee5f34d2e69fbb83f75a1ce8b20231b0b9ee4e 26 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -46453,7 +43675,7 @@ #31 := [asserted]: #11 [mp #31 #46]: false unsat -851b09d524dddf4dc26796a2641c88c095c084d1 26 0 +c3a72c0601b8cbc5a12b6de3f04815e4023a22d9 26 0 #2 := false decl f3 :: Real #7 := f3 @@ -46480,7 +43702,7 @@ #32 := [asserted]: #11 [mp #32 #47]: false unsat -e644fd725742c5947a76808fa8508e0afd656cd8 26 0 +d67f22dcf49dbce534730cc3548cbd6548413fe9 26 0 #2 := false decl f3 :: Real #8 := f3 @@ -46507,7 +43729,7 @@ #32 := [asserted]: #11 [mp #32 #47]: false unsat -0ddad1522f46ecc70264e9eb7e7c8e72b14a1fe7 40 0 +da0267c834e2691ae6adb35657dd447f07a5ddb0 40 0 #2 := false decl f3 :: Real #7 := f3 @@ -46548,7 +43770,7 @@ #34 := [asserted]: #13 [mp #34 #61]: false unsat -f5c5be999a961dbeb7007aacb486ddf3fbcad948 35 0 +64b057a096fc36168819ce708a4a964a21d4a714 35 0 #2 := false decl f3 :: Real #9 := f3 @@ -46584,7 +43806,7 @@ #34 := [asserted]: #13 [mp #34 #56]: false unsat -fa62ab1f8f4c43363df0c20a0e78ae4b3d0bf5f6 28 0 +c3e2eae4d4e8a5d34e7872b606228eba3fbea719 28 0 #2 := false #7 := 3::Real decl f3 :: Real @@ -46613,7 +43835,7 @@ #33 := [asserted]: #12 [mp #33 #49]: false unsat -ca0e54020823cad060f3d1ba1d831227210c5d87 30 0 +5e33e92f4c8750528f60b2e66569586bf0f0bb45 30 0 #2 := false #7 := 1::Real #8 := 2::Real @@ -46644,7 +43866,7 @@ #32 := [asserted]: #11 [mp #32 #52]: false unsat -ad7a6067815e419f4adff50cf7e013cfa4e44591 27 0 +e08ba17aff2428243af5cf67f75ce9241dfd2567 27 0 #2 := false #8 := 3::Real #7 := 1::Real @@ -46672,7 +43894,7 @@ #32 := [asserted]: #11 [mp #32 #49]: false unsat -a99a6f9f59161e07ca4bb424da1dda7f3599b9d0 48 0 +c23e6b58a553359eacf5eb208af7f8150bf293f2 48 0 #2 := false #8 := 3::Real #7 := 1::Real @@ -46721,7 +43943,7 @@ #35 := [asserted]: #14 [mp #35 #70]: false unsat -73a0b3a2d069b59c661aa11bdb9686097aacba84 36 0 +a1da7a34684e1a5bd561f100c0fa893afb3b7a5d 36 0 #2 := false #9 := 3::Real #7 := 1::Real @@ -46758,7 +43980,7 @@ #33 := [asserted]: #12 [mp #33 #58]: false unsat -e455683e14454659c86babd4206469f19c262efb 43 0 +a0d33d56932085d413a998104b0ae2bb7b556dd3 43 0 #2 := false #9 := 3::Real #7 := 1::Real @@ -46802,7 +44024,7 @@ #35 := [asserted]: #14 [mp #35 #65]: false unsat -4e89ec99c186f4d0cc4950beb34277bc35815fff 26 0 +960788d4730f7f2adca59dd014a913eb2be28d68 26 0 #2 := false decl f3 :: Real #7 := f3 @@ -46829,7 +44051,7 @@ #32 := [asserted]: #11 [mp #32 #47]: false unsat -ba8acb319606519055ab94494c9ac613c5c038a0 60 0 +20774a51f9bccf7108652ad949f64111f5847f42 60 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -46890,7 +44112,7 @@ #80 := [not-or-elim #79]: #55 [th-lemma arith farkas -2/3 1 #80 #81]: false unsat -c254f7743432efb3168908069776d39b954adceb 60 0 +59ae2373184f370c17621f32898c84257dcf4466 60 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -46951,7 +44173,7 @@ #80 := [not-or-elim #79]: #54 [th-lemma arith farkas -2/3 1 #80 #81]: false unsat -52f1e86ce55eba5021ed07ab92d87cf35261926b 36 0 +588ad60f0eef06c7d10b05e810713f52bae9fbac 36 0 #2 := false decl f3 :: Real #8 := f3 @@ -46988,7 +44210,7 @@ #33 := [asserted]: #12 [mp #33 #57]: false unsat -d1e89f661ec44eae20b1e53978b42ef04f82af17 35 0 +87491d527606c77b68ab29c99a67d25340955342 35 0 #2 := false decl f3 :: Real #7 := f3 @@ -47024,7 +44246,7 @@ #33 := [asserted]: #12 [mp #33 #56]: false unsat -0fdc33b7cc1348a0833bcf7f4b4149307e635b6c 62 0 +fb3e7bcac57bdcb4f4b6e119fa415b4a8bf5c9e7 62 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -47087,7 +44309,7 @@ #82 := [not-or-elim #81]: #57 [th-lemma arith farkas -1/3 1 #82 #83]: false unsat -f09f517e7e4cbc63db43c6d99d036f9d3a4315bf 62 0 +953412704db979090a4ca7b4441938d5b81412e0 62 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -47150,7 +44372,7 @@ #82 := [not-or-elim #81]: #56 [th-lemma arith farkas -1/3 1 #82 #83]: false unsat -89b345e26e51ed464cc683659a5ae8f2c05647b0 75 0 +1de1767601decde5f6a984aff8700035d237f520 75 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -47226,7 +44448,7 @@ #98 := [unit-resolution #97 #94]: #92 [th-lemma arith farkas 1 1 1 #72 #91 #98]: false unsat -985bcf7e8f8c4a491bb0e856a8f7804095f5404a 103 0 +97a92254fa3e068ea924e98693ea55400493d4bb 103 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -47330,7 +44552,7 @@ #125 := [unit-resolution #95 #124]: #73 [unit-resolution #125 #126]: false unsat -54d70864c8e13c2ab5f71e5ded8863232101a991 102 0 +5eef55215a56f315e0597001f70244e2d6cbad2b 102 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -47433,7 +44655,7 @@ #125 := [unit-resolution #124 #121]: #115 [th-lemma arith farkas 2 1 #116 #125]: false unsat -75f83357dfd0e95b567e5e16d1b564f2aacd5f8b 143 0 +45b14df2d2322e566d02d0db8c4a9bcfe19ad7c5 143 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -47577,7 +44799,7 @@ #166 := [unit-resolution #99 #162]: #52 [th-lemma arith farkas 2 1 1 #166 #165 #161]: false unsat -170a46884b0c93a265ba9103f7b32d3822f6590a 116 0 +5eef8e7d84fcda85aa27c59747fcf3f71dac1fdf 116 0 #2 := false #8 := 0::Real decl f3 :: Real @@ -47694,7 +44916,7 @@ #147 := [unit-resolution #146 #143]: #141 [th-lemma arith farkas 1 1 1 #140 #138 #147]: false unsat -343b8694d01ceec9aadefda1d9bec8e7b858a0bc 57 0 +55bb89c7c767723007ed5956fcfa12830981af6f 57 0 #2 := false #15 := 0::Real decl f4 :: Real @@ -47752,7 +44974,7 @@ #79 := [unit-resolution #78 #75]: #73 [th-lemma arith farkas 1 1 1 #58 #74 #79]: false unsat -488e735c5af613e8d7cafc6137d916a7f9ebe0e4 57 0 +792a7271106d55b993c9a30193c5dc7ee046972f 57 0 #2 := false #15 := 0::Real decl f4 :: Real @@ -47810,7 +45032,7 @@ #79 := [th-lemma arith triangle-eq]: #78 [unit-resolution #79 #76 #58]: false unsat -be2bc9d6a85f1d0753b3453c53165fb3cf75d021 103 0 +83b40ab4216a9b2572384a8e1f6d8b0f58fd50bf 103 0 #2 := false #20 := 0::Real decl f5 :: Real @@ -47914,7 +45136,7 @@ #124 := [unit-resolution #123 #120]: #117 [th-lemma arith farkas -1 -1 1 #124 #94 #95]: false unsat -8a834764014f7a0fc98f83812b7df5e9e71d3228 94 0 +c0fd50acd23f3d8d8def07a171c9f6d478ae387a 94 0 #2 := false decl f3 :: Real #7 := f3 @@ -48009,7 +45231,7 @@ #117 := [trans #116 #112]: #53 [unit-resolution #59 #117]: false unsat -565ea5cad625ceae443c2aa9665a6caa8c4432ef 53 0 +fb76c2d56cf2f934220975a9ef3ad26d44e0bbfc 53 0 #2 := false #7 := 0::Real decl f3 :: Real @@ -48063,7 +45285,7 @@ #75 := [trans #74 #71]: #12 [unit-resolution #59 #75]: false unsat -6b8315813f4cc23842e26ce083c1ccaeb3b9f4ea 124 0 +7237d883d9dd118244bec827b23fdc7f1b72fdce 124 0 #2 := false #12 := 0::Real decl f4 :: Real @@ -48188,7 +45410,7 @@ #147 := [unit-resolution #114 #146]: #108 [th-lemma arith farkas 1/2 3/2 1 1 1 #145 #133 #87 #143 #147]: false unsat -af561b282d1827f310ac70556912361f746c755e 57 0 +20b2c8eb46b2776c1fa0854f9d43594550f591a7 57 0 #2 := false #15 := 0::Real decl f3 :: Real @@ -48246,7 +45468,7 @@ #79 := [th-lemma arith triangle-eq]: #78 [unit-resolution #79 #76 #58]: false unsat -c76d8e5e48d2562cff8ec7cba9425b7fcddfd09a 57 0 +9b77594e0c04af6813ea9fe3eb19b0eebd98140f 57 0 #2 := false #15 := 0::Real decl f4 :: Real @@ -48304,7 +45526,7 @@ #79 := [unit-resolution #78 #75]: #72 [th-lemma arith farkas 1 1 1 #58 #74 #79]: false unsat -309c80c26e888c63759e9988268f1cdcc26ef28b 103 0 +93b3508f44b6322ae09524c5a254ca2b1a5b26c3 103 0 #2 := false #20 := 0::Real decl f3 :: Real @@ -48408,7 +45630,7 @@ #124 := [unit-resolution #123 #120]: #118 [th-lemma arith farkas -1 1 1 #124 #93 #95]: false unsat -23c443b999f944a6345020be737a4a7b628ff638 96 0 +7b686f77e111467a15fb3e7ff5fcf4bbb1a56717 96 0 #2 := false decl f4 :: Real #8 := f4 @@ -48505,7 +45727,7 @@ #119 := [trans #118 #114]: #53 [unit-resolution #59 #119]: false unsat -8fad80a1b745334993da3fb8733536800cca704f 60 0 +e7ef38b396887508c5c85846a0548164638b9e8d 60 0 #2 := false decl f3 :: Real #8 := f3 @@ -48566,7 +45788,7 @@ #82 := [trans #79 #81]: #68 [unit-resolution #74 #82]: false unsat -11277aae59b3fc835742651d4832ca0de4c045ff 214 0 +af8ce155afa78bf936e9e665a7def6acf5b7d81b 214 0 #2 := false #8 := 0::Real decl f4 :: Real @@ -48781,7 +46003,7 @@ #238 := [unit-resolution #174 #237]: #162 [th-lemma arith farkas 1 1 1 1 1 1 #212 #227 #133 #229 #238 #236]: false unsat -2becd4c16c00f4a8b711aba96699b51eb714fa29 18 0 +e807c28ea702b232e7c32bfa79cb58b47a16c570 18 0 #2 := false decl f3 :: Real #7 := f3 @@ -48800,7 +46022,7 @@ #30 := [asserted]: #9 [mp #30 #41]: false unsat -ee2f03e2614b76303135a935f1f2b05f83a4efce 50 0 +4cad11a2b8747d7e662d4f469d31b851aa375cfb 50 0 #2 := false #18 := 0::Real decl f4 :: Real @@ -48851,7 +46073,7 @@ #70 := [not-or-elim #67]: #69 [th-lemma arith farkas -1/3 1 #70 #68]: false unsat -3d2fe72db9db1a875a3d783608c94c040b9afc1b 55 0 +092a6f5d63ab793d33d43f7284b78642e74e2334 55 0 #2 := false #18 := 0::Real decl f4 :: Real @@ -48907,7 +46129,7 @@ #74 := [not-or-elim #73]: #45 [th-lemma arith farkas 3 1 #74 #75]: false unsat -165755fec51f7e6c4b1e62511cb967090732b747 52 0 +775858e4a5147699bba8b0137f62c6a4d4ac7293 52 0 #2 := false #15 := 0::Real decl f4 :: Real @@ -48960,7 +46182,7 @@ #79 := [unit-resolution #78 #67]: #55 [unit-resolution #79 #69]: false unsat -33e0b153e51916a2167061300cc75c8e67ab4fda 15 0 +49cc2e53f2afe91d793e2317f4c575f413ada734 15 0 #2 := false decl f3 :: Real #7 := f3 @@ -48976,7 +46198,7 @@ #31 := [asserted]: #10 [mp #31 #37]: false unsat -2340fd8d860bd4e1165d0c23c1f96e5421c798e2 75 0 +eb730fdf8b63348f25dbf613b5bd139042a0fc61 75 0 #2 := false #18 := 0::Real decl f5 :: Real @@ -49052,7 +46274,7 @@ #91 := [not-or-elim #90]: #68 [th-lemma arith farkas 1 -1 1 #91 #94 #92]: false unsat -8716c7aaa7f48c44ab9ce5531737a3b55fdf1e37 80 0 +c4e1cef39d74ef1da60772d29906445a2b8051f6 80 0 #2 := false #18 := 0::Real decl f5 :: Real @@ -49133,7 +46355,7 @@ #99 := [not-or-elim #95]: #98 [th-lemma arith farkas 1 1 1 #99 #96 #97]: false unsat -82e5c8e2d49baa3249133d0cc70e4f9710ed01cc 80 0 +ee1c33aaa657ed33c96d59b6dc6de0701ab6de06 80 0 #2 := false #18 := 0::Real decl f5 :: Real @@ -49214,7 +46436,7 @@ #96 := [not-or-elim #95]: #73 [th-lemma arith farkas 1 1 1 #96 #97 #99]: false unsat -54f206f7168f092b568f3c4ba80a32ed01dca4e9 85 0 +f87b387d325f83aeb1ec75660e6d181565616c1a 85 0 #2 := false #18 := 0::Real decl f5 :: Real @@ -49300,7 +46522,7 @@ #102 := [not-or-elim #101]: #72 [th-lemma arith farkas 1 1 1 #102 #103 #104]: false unsat -8921a5763dbd9b6bdd641b747fbac9ee9c2dd42d 69 0 +cb8792748fe4720134d96a488ba91a6116c7639a 69 0 #2 := false #19 := 0::Real decl f5 :: Real @@ -49370,7 +46592,7 @@ #86 := [and-elim #85]: #46 [th-lemma arith farkas 1 1 1 #86 #87 #88]: false unsat -ba3cc9798e91eb2c981ec527a914f13a432e9973 46 0 +f50e567111580fcf350e8f08b1127378c6cf44c1 46 0 #2 := false decl f3 :: (-> S3 S4 S2) decl f5 :: (-> S5 S2 S4) @@ -49417,7 +46639,7 @@ #57 := [asserted]: #33 [unit-resolution #57 #544]: false unsat -a080cdd5a7725df3669f655e4a1ddc1f94e11bc0 46 0 +e847b4eb330cb98ec19557ff4729a4ee5eac5c07 46 0 #2 := false decl f3 :: (-> S3 S4 S2) decl f5 :: (-> S5 S2 S4) @@ -49464,7 +46686,7 @@ #57 := [asserted]: #33 [unit-resolution #57 #544]: false unsat -1b9aec38c55c28fabd079dac192f971ebc6b0be8 86 0 +e15e69027875c204e11039aff6e36cce009f63f3 86 0 #2 := false decl f5 :: (-> S5 S2 S4) decl f9 :: S2 @@ -49551,7 +46773,7 @@ #540 := [unit-resolution #232 #539]: #61 [unit-resolution #540 #543]: false unsat -ff46e648b8433631f11b66136c88e13e20652d28 147 0 +072ec5311fec3c6e1f5e2d99691fb9ed86302245 147 0 #2 := false decl f12 :: S2 #33 := f12 @@ -49699,7 +46921,7 @@ #251 := [def-axiom]: #165 [unit-resolution #251 #171 #563 #559]: false unsat -f567b3ec65cba96a359862b5638f10a1c478c9a5 97 0 +2e4e9225ab02683d5a755c820a7cd4a4252a5720 97 0 #2 := false decl f8 :: (-> S8 S9 S2) decl f10 :: (-> S10 S5 S9) @@ -49797,7 +47019,7 @@ #574 := [unit-resolution #278 #577]: #92 [unit-resolution #574 #578]: false unsat -3899473eab3901c51712a93b78ff218465cc80a5 204 0 +326c3cc9171e09e8a8be6ed6bdcf7e348fc9488e 204 0 #2 := false decl f22 :: S8 #57 := f22 @@ -50002,7 +47224,7 @@ #295 := [def-axiom]: #209 [unit-resolution #295 #567 #426 #584]: false unsat -66f8caa017bcd510092693efddec3be735f82480 140 0 +bf4839d9633981e506c1be855f13b8a26192da1d 140 0 #2 := false decl f8 :: (-> S9 S3 S2) decl f15 :: (-> S13 S5 S3) @@ -50143,7 +47365,7 @@ #410 := [unit-resolution #280 #409]: #94 [unit-resolution #410 #411]: false unsat -ff6228ca7ad84c97bcf0916e5ffe8db03d1bc6d0 140 0 +cf1f4336502ff8e78cd5bc19dd27179c762eaf09 140 0 #2 := false decl f13 :: (-> S12 S3 S8) decl f15 :: (-> S13 S5 S3) @@ -50284,7 +47506,7 @@ #410 := [unit-resolution #280 #409]: #94 [unit-resolution #410 #411]: false unsat -c96488cbaa7f2ec1db1698b5028335098b71d55f 97 0 +b698de6114c960aedd429b35adfc1493851107e0 97 0 #2 := false decl f3 :: (-> S3 S4 S2) decl f5 :: (-> S5 S2 S4) @@ -50382,7 +47604,7 @@ #199 := [unit-resolution #232 #198]: #61 [unit-resolution #199 #200]: false unsat -09a45677774b7c719ba58910500f00ef56ae315c 106 0 +6474d219388775f06b6327aa11f8df4ad2448f55 106 0 #2 := false decl f3 :: (-> S3 S4 S2) decl f12 :: S4 @@ -50489,7 +47711,7 @@ #79 := [not-or-elim #76]: #78 [unit-resolution #79 #550]: false unsat -618d08b43560c1458410e7b2d3758883c80902bb 115 0 +4ebcb713a96f25289faf5874caac5699de053d9a 115 0 #2 := false decl f3 :: (-> S3 S4 S2) decl f9 :: S4 @@ -50605,7 +47827,7 @@ #540 := [unit-resolution #231 #539]: #60 [unit-resolution #540 #546]: false unsat -6c74b15206a530ed139b99673954ade36be4efcc 43 0 +d463916fdbeb11527763c4fc4e327a5494ff68cb 43 0 #2 := false decl f9 :: S3 #30 := f9 @@ -50649,7 +47871,7 @@ #233 := [quant-inst #71 #30]: #318 [unit-resolution #233 #678 #111]: false unsat -3782db2306cc866f72f70a01d2f0b8de7f1467ff 47 0 +a60f866ab8b0e8fbdd294bcb1172f7ffdcef9940 47 0 #2 := false decl f9 :: S3 #30 := f9 @@ -50697,7 +47919,7 @@ #312 := [quant-inst #71 #75]: #311 [unit-resolution #312 #681 #114]: false unsat -f728211cb1982632db7d0508cbcfd18907e87e3f 119 0 +fd1fe80b67edb2604eeb6ac16a3ead94827c31fa 119 0 #2 := false decl f22 :: S2 #72 := f22 @@ -50817,7 +48039,7 @@ #278 := [mp #637 #641]: #299 [unit-resolution #278 #678 #484]: false unsat -bbfd4143740fa5fa37bb46aa96df37053b73380b 43 0 +fe733bec7d455e3d40da889cac8d554d86dc35a2 43 0 #2 := false decl f21 :: S2 #71 := f21 @@ -50861,7 +48083,7 @@ #318 := [quant-inst #71 #73]: #321 [unit-resolution #318 #651 #107]: false unsat -faf27be81c50266d2944b770ad1790cac070c271 42 0 +94935c8887f8b6d443c5b2bd496a539d3a28c865 42 0 #2 := false decl f22 :: S3 #73 := f22 @@ -50904,7 +48126,7 @@ #295 := [quant-inst #71 #73]: #639 [unit-resolution #295 #657 #107]: false unsat -ab24eb2440f220778ada1d51b0fa5d566ee21c5f 51 0 +6669da017744eefc6b42f0dcbe1d3e77a37840bc 51 0 #2 := false decl f21 :: S2 #71 := f21 @@ -50956,7 +48178,7 @@ #533 := [quant-inst #71 #78]: #527 [unit-resolution #533 #656 #112]: false unsat -d46d7a2ca405083ed110fa917182c9b64d529ecc 50 0 +6ba377e7ca086c9c3b645a03c4012a7ef2a8cbb4 50 0 #2 := false decl f5 :: (-> S5 S3 S3) decl f9 :: S3 @@ -51007,7 +48229,7 @@ #517 := [quant-inst #71 #78]: #516 [unit-resolution #517 #662 #112]: false unsat -00d45a2105c65a05afe6de3a3f44dd3d02e667e9 80 0 +657f931be01b08a5325b20b63a8ffb0654fcebb2 80 0 #2 := false decl f22 :: S2 #73 := f22 @@ -51088,7 +48310,7 @@ #113 := [asserted]: #83 [unit-resolution #113 #524]: false unsat -4d55755ce8670444560059a4a2c5e8c60b925e12 61 0 +6920dfa78509845f35572b72b18b16e15101305a 61 0 #2 := false decl f5 :: (-> S5 S3 S3) decl f9 :: S3 @@ -51150,7 +48372,7 @@ #113 := [asserted]: #83 [unit-resolution #113 #524]: false unsat -1e49cb75a4b4736654a002c06e5405d5c3517634 86 0 +67bfe0df82f77831c5b5d717df54021f63993553 86 0 #2 := false decl f28 :: S2 #91 := f28 @@ -51237,7 +48459,7 @@ #133 := [asserted]: #100 [unit-resolution #133 #326]: false unsat -4ee836bc63884d52d61c6983c35e39ed91d8e078 86 0 +bc229616226a7711a5d4d576e0d0f4d5a078be1a 86 0 #2 := false decl f29 :: S3 #93 := f29 @@ -51324,7 +48546,7 @@ #133 := [asserted]: #100 [unit-resolution #133 #326]: false unsat -86f6f739d6e836607f1d98b07ede63d2576d444d 29 0 +d3a42b698bae47402c814f1b2f6f58cd7ebe4316 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f15 :: S4 @@ -51354,7 +48576,7 @@ #85 := [not-or-elim #84]: #83 [unit-resolution #85 #263]: false unsat -226b5b35f9edf656c0cea4dba57d64e428e7d1be 29 0 +f8f306e974a6666087b450cae3e82e5cd03defda 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f15 :: S4 @@ -51384,7 +48606,7 @@ #85 := [not-or-elim #84]: #83 [unit-resolution #85 #263]: false unsat -7e1ce21ff788fbffd8dbff9dda94f87b4ae232e3 29 0 +c01d80ea8f25cbcdb60031023ba4082a204411e5 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f15 :: S4 @@ -51414,7 +48636,7 @@ #83 := [not-or-elim #85]: #45 [unit-resolution #83 #263]: false unsat -ef77170e76e2077f1a99823990059fedc25a5572 29 0 +290727ed1ecffbc64e78f5a8cac18f251acb752f 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f15 :: S4 @@ -51444,7 +48666,7 @@ #83 := [not-or-elim #85]: #45 [unit-resolution #83 #263]: false unsat -05fabc68a1647a6c0b540f035499c1b64021300b 39 0 +d178969acccf74676532ed1f0d7dc4526faab060 39 0 #2 := false #40 := 3::Int decl f3 :: (-> S3 S4 Int) @@ -51484,7 +48706,7 @@ #217 := [quant-inst #40 #41 #42]: #216 [unit-resolution #217 #171 #73]: false unsat -8c97cf80a4fd3efed9db6fad38cd7df3e7f9b9e4 39 0 +3eb6c851edd6fd9da06cca67794a3b348ac3058b 39 0 #2 := false #41 := 4::Int decl f3 :: (-> S3 S4 Int) @@ -51524,7 +48746,7 @@ #222 := [quant-inst #40 #41 #42]: #221 [unit-resolution #222 #177 #73]: false unsat -5637fa1d095ac7b67e6203665a505b9e7150a9ea 78 0 +81324eb3e1a2baf8f2353f71658e6c45eca7efde 78 0 #2 := false #41 := 4::Int #40 := 3::Int @@ -51603,7 +48825,7 @@ #235 := [trans #233 #220]: #234 [mp #235 #237]: false unsat -d9a22c09a63e8097c5f432c6c4b67fcedd7364dd 73 0 +778cf00b027f7cbc8557b11fe4d2c6d98c19dbcf 73 0 #2 := false decl f7 :: (-> Int Int S3 S5) decl f15 :: S3 @@ -51677,7 +48899,7 @@ #82 := [asserted]: #54 [unit-resolution #82 #280]: false unsat -e70e3b07d4ab1c8f521998d618c1a33076aeafc7 73 0 +55dc0c2cede66f579f8fb4205f494991679ed411 73 0 #2 := false decl f7 :: (-> Int Int S3 S5) decl f15 :: S3 @@ -51751,7 +48973,7 @@ #82 := [asserted]: #54 [unit-resolution #82 #281]: false unsat -3f33aa966a616642cb71cfd28f64104ffe222a76 141 0 +da8cf7e5a8bc928fda4951f71c6fd4dffe39e0c9 141 0 #2 := false decl f16 :: S5 #53 := f16 @@ -51893,7 +49115,7 @@ #101 := [not-or-elim #100]: #99 [unit-resolution #101 #333]: false unsat -a3dcd98b917fc07cd53b4a7609efe76d08dc0731 141 0 +d0a240ecffa93b4cb78f7dba7d0cec224dce11ff 141 0 #2 := false decl f16 :: S5 #53 := f16 @@ -52035,7 +49257,7 @@ #101 := [not-or-elim #100]: #99 [unit-resolution #101 #333]: false unsat -37255a122064839766be2ce2cd0dc79437aeda41 29 0 +4836e6abfc464cb08dddd05f1d512ded74175de4 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f26 :: S4 @@ -52065,7 +49287,7 @@ #121 := [not-or-elim #120]: #119 [unit-resolution #121 #318]: false unsat -f90472be23afe3d7903dfeef3cf374fc3fbde35e 29 0 +f99b4650b4bda1046395cb9c27fb7acec91a2f4f 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f26 :: S4 @@ -52095,7 +49317,7 @@ #121 := [not-or-elim #120]: #119 [unit-resolution #121 #318]: false unsat -3e714d78b380e794ca732c6150fdf6770ae1c84c 61 0 +1b3a7b1fc51d4c34ff662c61cf90322ecc09e078 61 0 #2 := false decl f1 :: S1 #3 := f1 @@ -52157,7 +49379,7 @@ #648 := [unit-resolution #329 #653]: #149 [unit-resolution #648 #654]: false unsat -c1732efb8247153476fddeec24d6e45ea69ce202 29 0 +58757bb2c94bdd593c9d8b0fbe00db43524398ac 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f26 :: S4 @@ -52187,7 +49409,7 @@ #119 := [not-or-elim #121]: #77 [unit-resolution #119 #318]: false unsat -195808c9b73d3e779441cc672e062afbf5c02bef 29 0 +ef9a1a3fd0640f615d1a4ca50416456c2aafb0a5 29 0 #2 := false decl f3 :: (-> S3 S4 Int) decl f26 :: S4 @@ -52217,7 +49439,7 @@ #119 := [not-or-elim #121]: #77 [unit-resolution #119 #318]: false unsat -0ed7d8750f50d1bb9c926ffbefc40143380c759c 66 0 +a0e1cfb251466df6713d328d9fc59e2beb3ff57a 66 0 #2 := false decl f1 :: S1 #3 := f1 @@ -52284,7 +49506,7 @@ #653 := [unit-resolution #334 #658]: #115 [unit-resolution #653 #659]: false unsat -cedfd03a27d5c110cccc13a70c0f9d024f224ead 47 0 +3008f68b045e8512a78630fd63e36767a288b498 47 0 #2 := false #72 := 3::Int decl f3 :: (-> S3 S4 Int) @@ -52332,7 +49554,7 @@ #328 := [quant-inst #72 #73 #77]: #327 [unit-resolution #328 #230 #112]: false unsat -0b6022e30e4e5ac8cb4953d3a4c8504f4a0609a0 47 0 +1c291f66407b060abd6570e3561e84cb6802694a 47 0 #2 := false #73 := 4::Int decl f3 :: (-> S3 S4 Int) @@ -52380,7 +49602,7 @@ #333 := [quant-inst #72 #73 #77]: #332 [unit-resolution #333 #236 #112]: false unsat -2ca5cee26ef695e3928e07d0a44c659cea20c0b2 85 0 +5e951d88ba01a5b65915e3cf99e633951609c993 85 0 #2 := false decl f1 :: S1 #3 := f1 @@ -52466,7 +49688,7 @@ #353 := [unit-resolution #319 #346]: #352 [unit-resolution #353 #351 #350]: false unsat -6499be1d029719ef95b78f1d0320c11c7fb7a571 86 0 +812476a17a9a2871c9ebf2cc9391e374a71250ed 86 0 #2 := false #73 := 4::Int #72 := 3::Int @@ -52553,7 +49775,7 @@ #346 := [trans #344 #331]: #345 [mp #346 #348]: false unsat -bcff91b655305f168f8e2a483ead6b7d06750eb4 81 0 +fb3b468a9e0e9229a2ed6b6592a5795d32e0cbbf 81 0 #2 := false decl f7 :: (-> Int Int S3 S5) decl f17 :: (-> S10 S8 S3) @@ -52635,7 +49857,7 @@ #121 := [asserted]: #89 [unit-resolution #121 #429]: false unsat -7462b61994002d474ce748e537732218cde820f6 81 0 +66c49b5e837d7faf6a74356e58d3b2fd5529a3d1 81 0 #2 := false decl f7 :: (-> Int Int S3 S5) decl f17 :: (-> S10 S8 S3) @@ -52717,7 +49939,7 @@ #121 := [asserted]: #89 [unit-resolution #121 #430]: false unsat -ffaca458bf7a853e37afab709d490432c7fad3af 233 0 +9aa89ca1a2dffdf92e4644072316fccd998c9605 233 0 #2 := false decl f28 :: S6 #92 := f28 @@ -52951,7 +50173,7 @@ #154 := [not-or-elim #153]: #152 [unit-resolution #154 #589]: false unsat -9055acfd16334a78cb7c2c28508fdebc2b7c7f63 233 0 +b7ee8e1470156257eed64bf3397227c8530efee0 233 0 #2 := false decl f28 :: S6 #92 := f28 @@ -53185,7 +50407,7 @@ #154 := [not-or-elim #153]: #152 [unit-resolution #154 #589]: false unsat -67bf97bc391b1b7e654702d4edbfac8730a51707 233 0 +41083c23e36988c33cc02e1eff5234558acdcb86 233 0 #2 := false decl f28 :: S6 #92 := f28 @@ -53419,7 +50641,7 @@ #154 := [not-or-elim #153]: #152 [unit-resolution #154 #589]: false unsat -fde09c00a7285975ac7164417c3a5481fc130775 18 0 +1dd70ea57d3666cb5aaa01a8ef0d758d0e424162 18 0 #2 := false decl f3 :: S2 #7 := f3 @@ -53438,7 +50660,7 @@ #97 := [asserted]: #52 [mp #97 #107]: false unsat -17ef6441e1a98a1f31e9a83ffe2622bca36b5e7b 18 0 +bdeca06ba44784eaf57a202bbea41e9cc79df1f4 18 0 #2 := false decl f6 :: S2 #12 := f6 @@ -53457,7 +50679,7 @@ #97 := [asserted]: #52 [mp #97 #107]: false unsat -463ef29b79712be72c7a08cb850a77bae02ca87d 213 0 +1d9cdf8282138ea38f1106fe994e0979fa86c7e4 213 0 #2 := false #13 := 2::Int #9 := 1::Int @@ -53671,7 +50893,7 @@ #389 := [trans #388 #370]: #243 [mp #389 #256]: false unsat -abf24d28efcf933fd63a125c58e888cf5bd3bb43 229 0 +0fc3293c114d86e86e5fda166c582f7031eda038 229 0 #2 := false decl f6 :: S2 #12 := f6 @@ -53901,7 +51123,7 @@ #99 := [asserted]: #54 [unit-resolution #99 #441]: false unsat -260eac824b1f01737479805af42f5db11c25917d 340 0 +e8662cdc68a4df85a63b9e4b41418ecf449034b2 340 0 #2 := false decl f7 :: S2 #16 := f7 @@ -54242,121 +51464,121 @@ #99 := [asserted]: #54 [unit-resolution #99 #528]: false unsat -2864d138b390af4e3eeba533641291b4ae179658 1 0 -unsat -218fdaddec8daf9fe821ad83145a0f41dc0cea69 1 0 -unsat -e4291661842e19946a32d5d03adcb9efafbd09b2 1 0 -unsat -c588e986fb0be52b47531527138c9af03115a341 1 0 -unsat -0a10387ef30e59cf2ddae7f35bfb8acd6ada3dbd 1 0 -unsat -23eac3c9c6bd3afca4e93ad69fc507b57e5a404f 1 0 -unsat -11c2a4b88caf165635cfebe8973f704d44d24794 1 0 -unsat -3a5f958e4a5b70d0ec5d8d00c8ab6d7e7ae3a517 1 0 -unsat -c2efd82298ced7929b47cff71c32d108136ebb30 1 0 -unsat -faea053ed25da44e251b8eb4312ac6428fd87ca2 1 0 -unsat -9532645b849bc944ead9221c89cd2cc80a79542d 1 0 -unsat -0bd015fc8f4761551dbd5c346f08fa03fb671fc0 1 0 -unsat -29dffb68812c0d23d7cd53135414df29a1b03811 1 0 -unsat -79197392649d8c81d0c1fcf765a24b7acc0b8b25 1 0 -unsat -5ba4dc7ee86fa16cd914797b231ce5aa29948232 1 0 -unsat -93bc8559470f6db0bac52512a36cd3315e07c85c 1 0 -unsat -15320a8380e7a6f54e7cd0deef68d1a7d4b51f43 1 0 -unsat -b772de55e89362c844cdba5d1c2c0fa3edb34d7f 1 0 -unsat -1f603b5bd7f43c523a79a6bb10a493b3fa72cc85 1 0 -unsat -d6873b3ad9377b99f2c3517770dea23f32521508 1 0 -unsat -e2bd554f5593f9ef15136cabe0aea65dcfdb5188 1 0 -unsat -4f72565e3d34747b9db8c734bc1f9265d086b52b 1 0 -unsat -222d8029a2e1d50ba54c31aee7513d2d67ed472e 1 0 -unsat -bdd3ac024678b853058c58dd381f33bda892d817 1 0 -unsat -e533ec4f43cf59000106bf55690dc0aa11e727f2 1 0 -unsat -4e11f3d12b4eddfd39e29aa51612229198e08d79 1 0 -unsat -ed132dc37435ef0c545fb72697366d21ce40b8e1 1 0 -unsat -1a1d2140097a8893b17dc25e6605282254748963 1 0 -unsat -a29ebb3637da825c641bd6c6606b77eb08906d93 1 0 -unsat -7353983008a7921466e21b252e0564cb1c6aa577 1 0 -unsat -d52fff9b110f160606ec6fce8ca9bd1d06efb350 1 0 -unsat -0ffd26abb0a8ec687078a4f337e1548a7bd61def 1 0 -unsat -7b0e5b05b2ed758f149f0b55b9223ecaaeeb51cf 1 0 -unsat -eafcdd2983b49d76b5488cea98e3f2f7e52876ba 1 0 -unsat -7a0d2db24a3fd936064ebfe60cc9e64410f4a1f6 1 0 -unsat -594d725c4e08c5276928341fb15c42e790395795 1 0 -unsat -0bf7ce26e89090e315b7b54ba17110cc6ea079f1 1 0 -unsat -50bcf5c7e82de8f36e24a5d09fdb4b2ff10e80e4 1 0 -unsat -e2cab523a51c26eaaa7fe0d9e1059e52e750c834 1 0 -unsat -b1153994e02691ad7f1b18a2cbb489a7165319df 1 0 -unsat -d6d1c5cce24659e22cc4ed73e92b19fc8deb2c17 1 0 -unsat -c50127acd06804ffc4d2b5381e19ed95d4784807 1 0 -unsat -7dee0163a1aa13072509bd5a8b6706b711964644 1 0 -unsat -171141585148df48367740bbf9c50efea328be41 1 0 -unsat -697e36dcaec78bc74ef0344cc9bfbab4fcc473fa 1 0 -unsat -66a334fd88037de17eb09cb3087b7d5c3b198b4b 1 0 -unsat -2c70ce922a083eaaef42a1b1541bf29fc3cb7e54 1 0 -unsat -c03a19c9bc6c365fbc3e7555a82ee1e533d868c7 1 0 -unsat -3b50e4f33dd2e10584c63c303e2a234d52c44d12 1 0 -unsat -34f76ecd2c593f21adfb82e04699df605d7dde4f 1 0 -unsat -13021c851a0cac5f9a6fa998cc01ddbd3e82ecdd 1 0 -unsat -97ac538214a4420392823c7a3e55c4e4ae0919d9 1 0 -unsat -bfec2f2aa9b262d9b6b7060b5701a5e3814488b2 1 0 -unsat -f18271423b6c758ca8234fe9ec2671a9d9855f4f 1 0 -unsat -1d9d6a45a95fa36e2cf7fdd489e71cf9eebcc402 1 0 -unsat -466f95c3091f0353c12c0b00d563961d31c7ea6c 1 0 -unsat -6904c27994e4a6cfee64c86f67dbaa7a374b5aa0 1 0 -unsat -0632b158f9a5c6bb65e1e1b6be57c2c08505527a 47 0 +114113d4c28c25e534c670f47fca087183a5f8c8 1 0 +unsat +494b946d69182e62cf2adb59a4908bcd2cc3c25f 1 0 +unsat +846610dc3de8c529329029964342bed155b928be 1 0 +unsat +c78972c2be9e010d564c219e8371a1e07b95e81b 1 0 +unsat +6ebffc1a9d53b928532f7c058a376cb3c0716d92 1 0 +unsat +bfcbce0fd0c787695b2cb81657f53a4e946de0f7 1 0 +unsat +87c04d689bac52cec8b0c1a08d098942fd70d466 1 0 +unsat +c290166c6fcbece0c64059bd0622a1d9dbb1c5e8 1 0 +unsat +a2e1430a221557099dbbfaea91575c18c640d29c 1 0 +unsat +2a17166993a82e94f975eebec87d116c80957ca3 1 0 +unsat +59e681af5117de8711365345306b7aa17a425e95 1 0 +unsat +5bc354c4cba9fa390e5a5b4fff48e724cd6a4ebf 1 0 +unsat +0b4eaebaa1c7da0e8aacfa5a2eba079ece06e131 1 0 +unsat +048b4d112d6dd41a60f998755f2db6b8efd86231 1 0 +unsat +44b17af9b9a91745590d6ecb19c7206d98ab139a 1 0 +unsat +3523e8d2bd307bbba5a32002f0ec6e28e5894143 1 0 +unsat +6e8b6413930418b08c3489ea4eb22477eb9fad98 1 0 +unsat +2ff6320af6e3da1595c21bde8e3d60f9f793b05e 1 0 +unsat +c903ab15e32b62af335654e8c9787041ccb90f1d 1 0 +unsat +626bc827bc367e9c39a2fe8c6f7c8a2681e74bce 1 0 +unsat +8ef64ff3e519412fcade8a4d9a8bec98415d6a06 1 0 +unsat +0e110597ee5fd59c05d2cfca519aa8eb04251546 1 0 +unsat +7fd213cb5e600482169baaba3e41c80ffd02c436 1 0 +unsat +885bfcca057c7a00c20747d601df50ad8423656f 1 0 +unsat +a89a8374bf2ed246a6005542713c5d935dd6dfdc 1 0 +unsat +876ed7294bbfc54103308ef6b14723c1148733bd 1 0 +unsat +41d31522928c508669072711001a529f38867652 1 0 +unsat +207ccab8c5caaba7048ab574dcdb91f4c1e73815 1 0 +unsat +863ce4ac998f8311e2b7a27eadc176786183347f 1 0 +unsat +0c7f2686d2381d34ae33481937606b55c3351e5e 1 0 +unsat +c8c2c45b649fbbacff8b9a61badac4db22cb46c2 1 0 +unsat +63761ff981670944c18e6dd437cfe4578c88fb15 1 0 +unsat +55f1f6079a3e9b28fa8aecfb53cd816993999074 1 0 +unsat +dd27e03a481e9d6d9ad7c5b84a5137b699e90735 1 0 +unsat +d6059b26d228981814c293de9adcac3c10e56c06 1 0 +unsat +4f91be474d91f53d29f3f2258bb7d273880ef8e6 1 0 +unsat +fe0f4adcbca31458a44c9fa7c3a70eef3159899a 1 0 +unsat +8a88bb45199657d7b93fb63596b175087ccee5b6 1 0 +unsat +e9444ef1965eaddfc7689e8ddd3c142533cf3405 1 0 +unsat +1cb7dac6ffcfcf174de9b93048f0d7b2e6695b47 1 0 +unsat +bbaaddd8f857f1563ff57dbef0644812cb6b7217 1 0 +unsat +bc866ccbb68526e04dbee31bfbf06c3c0c136997 1 0 +unsat +a8a33441caa49095c09744f40e851e338d32aab0 1 0 +unsat +69389e184ca843a40e122fe630100028f5d0dfe2 1 0 +unsat +59f2b64f5b2d655f8fd50a111cc1bf73a7e32876 1 0 +unsat +561b779e14608d5bf4b63c02d41e6f6e5d7bac92 1 0 +unsat +197371e9402d0d463d6f937ba339cf72a8abf07b 1 0 +unsat +702df5d383bb67100b0fc3f930d58d64c9e9a02d 1 0 +unsat +edeb3362e6db1fa2b6f5bd97e4c1a396396f2282 1 0 +unsat +bad693fed8d87da59fb794363aef6ae36b19bcf7 1 0 +unsat +97fc736b0a2fffdd9e35ec8d6b184e53c9636024 1 0 +unsat +38010eaae88cc69a2c26a2defbead948aaabd4f4 1 0 +unsat +4cbb5558bd3975388e0fb974eb0c218f0d9e4a94 1 0 +unsat +0f4d9605278da9fff8a3d692d173824bfbaa11e8 1 0 +unsat +581ce35318bef5f170a152cb14de30b8e6da4277 1 0 +unsat +476ae2a77ea015b7c4b5fa427ba5703e48cebd80 1 0 +unsat +f8308b4ecb3d87177c35dbad8eba7c049e0cfc96 1 0 +unsat +4f6185d7afc5cdb6870999c7155dd06a4abca6db 47 0 #2 := false decl f10 :: S4 #34 := f10 @@ -54404,7 +51626,7 @@ #146 := [quant-inst #30 #32 #34]: #231 [unit-resolution #146 #566 #61]: false unsat -f6aef6296a02dc2bb756eda92687889cb2a54145 87 0 +5bafbb97f7efbe2d659f283d3886a5959ca6e520 87 0 #2 := false decl f9 :: S3 #31 := f9 @@ -54492,7 +51714,7 @@ #73 := [not-or-elim #75]: #33 [unit-resolution #73 #564]: false unsat -50909234a6a4924829d934c10beb30bac9d44410 119 0 +84690766f80a9a99468eed8a8759374419b173e1 119 0 #2 := false decl f11 :: S4 #37 := f11 @@ -54612,7 +51834,7 @@ #79 := [not-or-elim #78]: #77 [unit-resolution #79 #569]: false unsat -05bfab9a0b912a45a5d23c900aa9736bbf67a50a 66 0 +d65e508e9f0986a9cadbe07239acdf7dea9f9cdd 66 0 #2 := false decl f12 :: S4 #41 := f12 @@ -54679,7 +51901,7 @@ #253 := [quant-inst #38 #31 #41]: #252 [unit-resolution #253 #584 #79]: false unsat -4a487b439b5a71496138881872532bead0355621 73 0 +0f758203e0be215aacd00c651e831f3fd6369edd 73 0 #2 := false decl f12 :: S4 #40 := f12 @@ -54753,7 +51975,7 @@ #79 := [not-or-elim #78]: #77 [unit-resolution #79 #218]: false unsat -2f89ec4bff68da07bcf5df08cb44abd1cf304bcc 152 0 +147fa7b416ea80f4d0db2b821e5b7f09e2dd6767 152 0 #2 := false decl f3 :: (-> S2 S3 S4) decl f10 :: S3 @@ -54906,7 +52128,7 @@ #563 := [def-axiom]: #562 [unit-resolution #563 #438 #553 #569]: false unsat -88a85966e07fd047108db907b5b652de257cb18b 39 0 +36b249aecd736f13331480916c503eb6e5909c98 39 0 #2 := false decl f1 :: S1 #3 := f1 @@ -54946,7 +52168,7 @@ #257 := [quant-inst #40]: #171 [unit-resolution #257 #591 #74]: false unsat -e52edad337a80ce1b9f167b25fc11aa08d513ef1 34 0 +ab0a0cb55145e0e555c965d2dc39dc477d5c1fea 34 0 #2 := false decl f1 :: S1 #3 := f1 @@ -54981,7 +52203,7 @@ #253 := [quant-inst #40]: #167 [unit-resolution #253 #594 #68]: false unsat -ad95b138cf36827005b5ec90f511d80185776b0d 87 0 +23c20a3f015d52f4e5090d65fc402473d21c2ff7 87 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55069,7 +52291,7 @@ #574 := [unit-resolution #595 #229]: #573 [unit-resolution #574 #236 #235]: false unsat -a358148b5f0eff69cab7c01e442584acaffb3f96 121 0 +64da68860ea07cde955340b27fa12fa5f09a1695 121 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55191,7 +52413,7 @@ #579 := [unit-resolution #241 #574]: #576 [unit-resolution #579 #578 #217]: false unsat -91c9ceb101c072b8bb603b688737950bad02faa7 90 0 +5d2b2bd5b82e9b686873c91fbf34494378daa8ce 90 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55282,7 +52504,7 @@ #217 := [quant-inst #40]: #575 [unit-resolution #217 #597 #222]: false unsat -f5d17ecef2699af9d85c677d592ffbcac1a42bd5 131 0 +ede3dbc56e22f5b2950d014509e65a43a920f4de 131 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55414,7 +52636,7 @@ #581 := [def-axiom]: #220 [unit-resolution #581 #550 #561 #559]: false unsat -7b7f932ab0a4581fa34b6f91edcffafb0fae6833 95 0 +36bb986beabfd5d2f2f59f2f22497a8981eb9126 95 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55510,7 +52732,7 @@ #574 := [unit-resolution #245 #232]: #568 [unit-resolution #574 #573 #572]: false unsat -43b21f39caa6691199e92bb505d662d92b79c6d5 194 0 +8bc88e5edfbcc5ec1dd0cfb089d9a4802a822e0a 194 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55705,7 +52927,7 @@ #519 := [unit-resolution #539 #518 #526]: #379 [unit-resolution #545 #619 #519]: false unsat -397d6346cfc96d3be794b9edcc58a3e463721e51 116 0 +471f8aa77fc4964daee60a13a5a92f756ac79683 116 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55822,7 +53044,7 @@ #588 := [unit-resolution #600 #602]: #251 [unit-resolution #588 #250 #249]: false unsat -25e43ea74050b29942998055a45c2dfa635fcffe 109 0 +b2bab79e348dd40ef98e9c16bd8f27d0e66abe96 109 0 #2 := false decl f1 :: S1 #3 := f1 @@ -55932,7 +53154,7 @@ #221 := [quant-inst #40]: #579 [unit-resolution #221 #594 #226]: false unsat -aea5829d512de2728ecad3b816f4fb373d3860ab 131 0 +dbeac9b623875d59b5f7c86d653da3da9cd2d29b 131 0 #2 := false decl f1 :: S1 #3 := f1 @@ -56064,7 +53286,7 @@ #577 := [quant-inst #40]: #575 [unit-resolution #577 #605 #578]: false unsat -2c368a83b5623f0f697753a8fe91229b9ba6f049 144 0 +51ce95475567a2e196bafe1aa52fd86168910e25 144 0 #2 := false decl f1 :: S1 #3 := f1 @@ -56209,7 +53431,7 @@ #244 := [def-axiom]: #585 [unit-resolution #244 #550 #561 #273]: false unsat -786e0baa52e956eb38ebe0e784a4d54d1b6938d2 116 0 +4830d9673cbce4109d7a294d06cddebfbef2b503 116 0 #2 := false decl f1 :: S1 #3 := f1 @@ -56326,7 +53548,7 @@ #579 := [unit-resolution #231 #211]: #576 [unit-resolution #579 #578 #217]: false unsat -62139c25ee961075afc011e9d98f3a2524600355 207 0 +204f9f43d50dba080fa0264b17e4ee9000821fb0 207 0 #2 := false decl f1 :: S1 #3 := f1 @@ -56534,7 +53756,7 @@ #519 := [unit-resolution #539 #518 #525]: #379 [unit-resolution #546 #626 #519]: false unsat -c39c54f907aa2283011df5d842bdfd51c1629e0d 22 0 +1dccf1446c06f99d08b664c523373d60beeb86a5 22 0 #2 := false decl f13 :: (-> S7 S3 S4) decl f4 :: S3 @@ -56557,1404 +53779,3 @@ #78 := [asserted]: #52 [mp #78 #87]: false unsat -f797db065a8c5b2969ce205bd43175da50729663 62 0 -#2 := false -#22 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -decl f5 :: S3 -#8 := f5 -#9 := (f3 f4 f5) -#56 := -1::Int -#57 := (* -1::Int #11) -#58 := (+ #9 #57) -#59 := (<= #58 0::Int) -#62 := (if #59 #9 #11) -#70 := (* -1::Int #62) -#253 := (+ #11 #70) -#602 := (>= #253 0::Int) -#290 := (= #11 #62) -#206 := (not #59) -#205 := (= #9 #62) -#598 := (not #205) -#71 := (+ #9 #70) -#69 := (>= #71 0::Int) -#75 := (not #69) -#12 := (<= #9 #11) -#13 := (if #12 #9 #11) -#14 := (<= #13 #9) -#15 := (not #14) -#76 := (iff #15 #75) -#73 := (iff #14 #69) -#65 := (<= #62 #9) -#68 := (iff #65 #69) -#72 := [rewrite]: #68 -#66 := (iff #14 #65) -#63 := (= #13 #62) -#60 := (iff #12 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#74 := [trans #67 #72]: #73 -#77 := [monotonicity #74]: #76 -#53 := [asserted]: #15 -#78 := [mp #53 #77]: #75 -#594 := [hypothesis]: #205 -#599 := (or #598 #69) -#600 := [th-lemma arith triangle-eq]: #599 -#595 := [unit-resolution #600 #594 #78]: false -#601 := [lemma #595]: #598 -#291 := (or #206 #205) -#292 := [def-axiom]: #291 -#604 := [unit-resolution #292 #601]: #206 -#283 := (or #59 #290) -#294 := [def-axiom]: #283 -#244 := [unit-resolution #294 #604]: #290 -#245 := (not #290) -#605 := (or #245 #602) -#603 := [th-lemma arith triangle-eq]: #605 -#606 := [unit-resolution #603 #244]: #602 -[th-lemma arith farkas 1 1 1 #78 #604 #606]: false -unsat -31e82c3a0418f1a5035c07306f1bcb632442caaa 62 0 -#2 := false -#22 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -decl f5 :: S3 -#8 := f5 -#9 := (f3 f4 f5) -#56 := -1::Int -#57 := (* -1::Int #11) -#58 := (+ #9 #57) -#59 := (<= #58 0::Int) -#62 := (if #59 #9 #11) -#69 := (* -1::Int #62) -#70 := (+ #11 #69) -#68 := (>= #70 0::Int) -#75 := (not #68) -#12 := (<= #9 #11) -#13 := (if #12 #9 #11) -#14 := (<= #13 #11) -#15 := (not #14) -#76 := (iff #15 #75) -#73 := (iff #14 #68) -#65 := (<= #62 #11) -#71 := (iff #65 #68) -#72 := [rewrite]: #71 -#66 := (iff #14 #65) -#63 := (= #13 #62) -#60 := (iff #12 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#74 := [trans #67 #72]: #73 -#77 := [monotonicity #74]: #76 -#53 := [asserted]: #15 -#78 := [mp #53 #77]: #75 -#290 := (= #11 #62) -#206 := (not #59) -#599 := [hypothesis]: #59 -#253 := (+ #9 #69) -#598 := (>= #253 0::Int) -#205 := (= #9 #62) -#291 := (or #206 #205) -#292 := [def-axiom]: #291 -#600 := [unit-resolution #292 #599]: #205 -#595 := (not #205) -#601 := (or #595 #598) -#239 := [th-lemma arith triangle-eq]: #601 -#602 := [unit-resolution #239 #600]: #598 -#604 := [th-lemma arith farkas -1 1 1 #602 #78 #599]: false -#244 := [lemma #604]: #206 -#283 := (or #59 #290) -#294 := [def-axiom]: #283 -#245 := [unit-resolution #294 #244]: #290 -#605 := (not #290) -#603 := (or #605 #68) -#606 := [th-lemma arith triangle-eq]: #603 -[unit-resolution #606 #245 #78]: false -unsat -255fa9c9d454506807f3975ef67899ee95170888 238 0 -#2 := false -#23 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -decl f5 :: S3 -#8 := f5 -#9 := (f3 f4 f5) -#57 := -1::Int -#58 := (* -1::Int #11) -#59 := (+ #9 #58) -#60 := (<= #59 0::Int) -#63 := (if #60 #9 #11) -#72 := (* -1::Int #63) -#255 := (+ #9 #72) -#600 := (>= #255 0::Int) -#607 := (not #600) -#617 := (>= #11 0::Int) -#586 := (= #11 0::Int) -decl f7 :: (-> S4 Int S3) -decl f8 :: S4 -#17 := f8 -#295 := (f7 f8 #11) -#618 := (f3 f4 #295) -#271 := (= #618 0::Int) -#592 := (not #617) -#439 := [hypothesis]: #592 -#612 := (or #617 #271) -#24 := (:var 0 Int) -#26 := (f7 f8 #24) -#628 := (pattern #26) -#27 := (f3 f4 #26) -#32 := (= #27 0::Int) -#89 := (>= #24 0::Int) -#120 := (or #89 #32) -#635 := (forall (vars (?v0 Int)) (:pat #628) #120) -#123 := (forall (vars (?v0 Int)) #120) -#638 := (iff #123 #635) -#636 := (iff #120 #120) -#637 := [refl]: #636 -#639 := [quant-intro #637]: #638 -#136 := (~ #123 #123) -#144 := (~ #120 #120) -#145 := [refl]: #144 -#137 := [nnf-pos #145]: #136 -#31 := (< #24 0::Int) -#33 := (implies #31 #32) -#34 := (forall (vars (?v0 Int)) #33) -#126 := (iff #34 #123) -#104 := (not #31) -#105 := (or #104 #32) -#108 := (forall (vars (?v0 Int)) #105) -#124 := (iff #108 #123) -#121 := (iff #105 #120) -#118 := (iff #104 #89) -#91 := (not #89) -#113 := (not #91) -#116 := (iff #113 #89) -#117 := [rewrite]: #116 -#114 := (iff #104 #113) -#111 := (iff #31 #91) -#112 := [rewrite]: #111 -#115 := [monotonicity #112]: #114 -#119 := [trans #115 #117]: #118 -#122 := [monotonicity #119]: #121 -#125 := [quant-intro #122]: #124 -#109 := (iff #34 #108) -#106 := (iff #33 #105) -#107 := [rewrite]: #106 -#110 := [quant-intro #107]: #109 -#127 := [trans #110 #125]: #126 -#103 := [asserted]: #34 -#128 := [mp #103 #127]: #123 -#146 := [mp~ #128 #137]: #123 -#640 := [mp #146 #639]: #635 -#619 := (not #635) -#259 := (or #619 #617 #271) -#260 := (or #619 #612) -#262 := (iff #260 #259) -#598 := [rewrite]: #262 -#261 := [quant-inst #11]: #260 -#599 := [mp #261 #598]: #259 -#304 := [unit-resolution #599 #640]: #612 -#454 := [unit-resolution #304 #439]: #271 -#300 := (= #11 #618) -#584 := (= f6 #295) -#299 := (= #295 f6) -#18 := (:var 0 S3) -#19 := (f3 f4 #18) -#621 := (pattern #19) -#20 := (f7 f8 #19) -#21 := (= #20 #18) -#622 := (forall (vars (?v0 S3)) (:pat #621) #21) -#22 := (forall (vars (?v0 S3)) #21) -#625 := (iff #22 #622) -#623 := (iff #21 #21) -#624 := [refl]: #623 -#626 := [quant-intro #624]: #625 -#142 := (~ #22 #22) -#140 := (~ #21 #21) -#141 := [refl]: #140 -#143 := [nnf-pos #141]: #142 -#55 := [asserted]: #22 -#132 := [mp~ #55 #143]: #22 -#627 := [mp #132 #626]: #622 -#278 := (not #622) -#609 := (or #278 #299) -#283 := [quant-inst #10]: #609 -#306 := [unit-resolution #283 #627]: #299 -#585 := [symm #306]: #584 -#582 := [monotonicity #585]: #300 -#456 := [trans #582 #454]: #586 -#457 := (not #586) -#450 := (or #457 #617) -#458 := [th-lemma arith triangle-eq]: #450 -#459 := [unit-resolution #458 #439 #456]: false -#460 := [lemma #459]: #617 -#555 := (or #592 #607) -#73 := (+ #11 #72) -#74 := (+ #9 #73) -#70 := (>= #74 0::Int) -#77 := (not #70) -#14 := (+ #9 #11) -#12 := (<= #9 #11) -#13 := (if #12 #9 #11) -#15 := (<= #13 #14) -#16 := (not #15) -#78 := (iff #16 #77) -#75 := (iff #15 #70) -#66 := (<= #63 #14) -#69 := (iff #66 #70) -#71 := [rewrite]: #69 -#67 := (iff #15 #66) -#64 := (= #13 #63) -#61 := (iff #12 #60) -#62 := [rewrite]: #61 -#65 := [monotonicity #62]: #64 -#68 := [monotonicity #65]: #67 -#76 := [trans #68 #71]: #75 -#79 := [monotonicity #76]: #78 -#54 := [asserted]: #16 -#80 := [mp #54 #79]: #77 -#589 := (or #592 #607 #70) -#593 := [th-lemma arith assign-bounds 1 -1]: #589 -#552 := [unit-resolution #593 #80]: #555 -#556 := [unit-resolution #552 #460]: #607 -#207 := (= #9 #63) -#297 := (f7 f8 #9) -#402 := (f3 f4 #297) -#284 := (= #402 0::Int) -#405 := (iff #284 #207) -#445 := (iff #207 #284) -#562 := (= #63 0::Int) -#424 := (>= #73 0::Int) -#292 := (= #11 #63) -#580 := (iff #284 #292) -#574 := (iff #292 #284) -#587 := (= 0::Int #402) -#578 := (iff #587 #284) -#573 := [commutativity]: #578 -#576 := (iff #292 #587) -#314 := (= #63 #402) -#591 := (= #9 #402) -#319 := (= f5 #297) -#298 := (= #297 f5) -#613 := (or #278 #298) -#615 := [quant-inst #8]: #613 -#318 := [unit-resolution #615 #627]: #298 -#320 := [symm #318]: #319 -#313 := [monotonicity #320]: #591 -#214 := (= #63 #9) -#601 := (not #292) -#602 := [hypothesis]: #601 -#285 := (or #60 #292) -#296 := [def-axiom]: #285 -#597 := [unit-resolution #296 #602]: #60 -#208 := (not #60) -#293 := (or #208 #207) -#294 := [def-axiom]: #293 -#603 := [unit-resolution #294 #597]: #207 -#590 := [symm #603]: #214 -#588 := [trans #590 #313]: #314 -#241 := (not #207) -#604 := (or #241 #600) -#606 := [th-lemma arith triangle-eq]: #604 -#246 := [unit-resolution #606 #603]: #600 -#303 := [unit-resolution #593 #246 #80]: #592 -#305 := [unit-resolution #304 #303]: #271 -#583 := [trans #582 #305]: #586 -#577 := [monotonicity #583 #588]: #576 -#579 := [trans #577 #573]: #574 -#575 := [symm #579]: #580 -#272 := (>= #9 0::Int) -#247 := (not #272) -#605 := (or #247 #208 #607 #70) -#608 := [th-lemma arith assign-bounds -1 1 -1]: #605 -#594 := [unit-resolution #608 #597 #80 #246]: #247 -#616 := (or #272 #284) -#614 := (or #619 #272 #284) -#620 := (or #619 #616) -#270 := (iff #620 #614) -#275 := [rewrite]: #270 -#610 := [quant-inst #9]: #620 -#611 := [mp #610 #275]: #614 -#595 := [unit-resolution #611 #640]: #616 -#317 := [unit-resolution #595 #594]: #284 -#581 := [mp #317 #575]: #292 -#422 := [unit-resolution #602 #581]: false -#423 := [lemma #422]: #292 -#567 := (or #601 #424) -#568 := [th-lemma arith triangle-eq]: #567 -#569 := [unit-resolution #568 #423]: #424 -#566 := [hypothesis]: #241 -#572 := [unit-resolution #294 #566]: #208 -#563 := (not #424) -#401 := (or #592 #563 #60 #70) -#403 := [th-lemma arith assign-bounds 1 1 1]: #401 -#404 := [unit-resolution #403 #572 #80 #569]: #592 -#557 := [unit-resolution #304 #404]: #271 -#561 := (= #63 #618) -#558 := (= #63 #11) -#560 := [symm #423]: #558 -#559 := [trans #560 #582]: #561 -#444 := [trans #559 #557]: #562 -#446 := [monotonicity #313 #444]: #445 -#553 := [symm #446]: #405 -#564 := (or #247 #563 #70) -#570 := [th-lemma arith assign-bounds 1 -1]: #564 -#571 := [unit-resolution #570 #569 #80]: #247 -#565 := [unit-resolution #595 #571]: #284 -#455 := [mp #565 #553]: #207 -#550 := [unit-resolution #566 #455]: false -#551 := [lemma #550]: #207 -[unit-resolution #606 #551 #556]: false -unsat -045d7d8d25dac55517e319701f444d30bf2a94d9 109 0 -#2 := false -#28 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f7 :: S3 -#13 := f7 -decl f4 :: S2 -#7 := f4 -#14 := (f3 f4 f7) -decl f6 :: S3 -#10 := f6 -#11 := (f3 f4 f6) -#67 := -1::Int -#76 := (* -1::Int #14) -#86 := (+ #11 #76) -#87 := (<= #86 0::Int) -#90 := (if #87 #11 #14) -#98 := (* -1::Int #90) -decl f5 :: S3 -#8 := f5 -#9 := (f3 f4 f5) -#99 := (+ #9 #98) -#97 := (>= #99 0::Int) -#96 := (not #97) -#77 := (+ #9 #76) -#75 := (>= #77 0::Int) -#74 := (not #75) -#70 := (* -1::Int #11) -#71 := (+ #9 #70) -#69 := (>= #71 0::Int) -#68 := (not #69) -#80 := (and #68 #74) -#83 := (not #80) -#104 := (or #83 #96) -#107 := (not #104) -#17 := (<= #11 #14) -#18 := (if #17 #11 #14) -#19 := (< #9 #18) -#15 := (< #9 #14) -#12 := (< #9 #11) -#16 := (and #12 #15) -#20 := (implies #16 #19) -#21 := (not #20) -#110 := (iff #21 #107) -#60 := (not #16) -#61 := (or #60 #19) -#64 := (not #61) -#108 := (iff #64 #107) -#105 := (iff #61 #104) -#102 := (iff #19 #96) -#93 := (< #9 #90) -#100 := (iff #93 #96) -#101 := [rewrite]: #100 -#94 := (iff #19 #93) -#91 := (= #18 #90) -#88 := (iff #17 #87) -#89 := [rewrite]: #88 -#92 := [monotonicity #89]: #91 -#95 := [monotonicity #92]: #94 -#103 := [trans #95 #101]: #102 -#84 := (iff #60 #83) -#81 := (iff #16 #80) -#78 := (iff #15 #74) -#79 := [rewrite]: #78 -#72 := (iff #12 #68) -#73 := [rewrite]: #72 -#82 := [monotonicity #73 #79]: #81 -#85 := [monotonicity #82]: #84 -#106 := [monotonicity #85 #103]: #105 -#109 := [monotonicity #106]: #108 -#65 := (iff #21 #64) -#62 := (iff #20 #61) -#63 := [rewrite]: #62 -#66 := [monotonicity #63]: #65 -#111 := [trans #66 #109]: #110 -#59 := [asserted]: #21 -#112 := [mp #59 #111]: #107 -#116 := [not-or-elim #112]: #97 -#113 := [not-or-elim #112]: #80 -#115 := [and-elim #113]: #74 -#633 := (+ #14 #98) -#630 := (<= #633 0::Int) -#330 := (= #14 #90) -#246 := (not #87) -#245 := (= #11 #90) -#628 := (not #245) -#642 := (+ #11 #98) -#644 := (<= #642 0::Int) -#357 := (not #644) -#114 := [and-elim #113]: #68 -#355 := [hypothesis]: #644 -#356 := [th-lemma arith farkas -1 -1 1 #355 #114 #116]: false -#358 := [lemma #356]: #357 -#252 := [hypothesis]: #245 -#629 := (or #628 #644) -#351 := [th-lemma arith triangle-eq]: #629 -#352 := [unit-resolution #351 #252 #358]: false -#626 := [lemma #352]: #628 -#331 := (or #246 #245) -#332 := [def-axiom]: #331 -#631 := [unit-resolution #332 #626]: #246 -#323 := (or #87 #330) -#334 := [def-axiom]: #323 -#341 := [unit-resolution #334 #631]: #330 -#342 := (not #330) -#343 := (or #342 #630) -#344 := [th-lemma arith triangle-eq]: #343 -#622 := [unit-resolution #344 #341]: #630 -[th-lemma arith farkas -1 -1 1 #622 #115 #116]: false -unsat -1962433f8497846ba06e564f4ca48d7e020eb6e0 141 0 -#2 := false -#10 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: (-> S4 Int S3) -decl f5 :: S3 -#8 := f5 -decl f4 :: S2 -#7 := f4 -#9 := (f3 f4 f5) -decl f7 :: S4 -#12 := f7 -#272 := (f6 f7 #9) -#570 := (f3 f4 #272) -#277 := (= #570 0::Int) -#543 := (= #9 0::Int) -#11 := (<= #9 0::Int) -#13 := (f6 f7 0::Int) -#14 := (if #11 f5 #13) -#266 := (= #13 #14) -#567 := (not #266) -#15 := (= #14 #13) -#16 := (not #15) -#564 := (iff #16 #567) -#293 := (iff #15 #266) -#294 := [commutativity]: #293 -#568 := [monotonicity #294]: #564 -#52 := [asserted]: #16 -#278 := [mp #52 #568]: #567 -#259 := (or #11 #266) -#270 := [def-axiom]: #259 -#279 := [unit-resolution #270 #278]: #11 -#569 := (>= #9 0::Int) -#541 := (not #277) -#181 := (= f5 #14) -#182 := (not #11) -#267 := (or #182 #181) -#268 := [def-axiom]: #267 -#280 := [unit-resolution #268 #279]: #181 -#556 := (= #13 f5) -#269 := (= #272 f5) -#17 := (:var 0 S3) -#18 := (f3 f4 #17) -#596 := (pattern #18) -#19 := (f6 f7 #18) -#20 := (= #19 #17) -#597 := (forall (vars (?v0 S3)) (:pat #596) #20) -#21 := (forall (vars (?v0 S3)) #20) -#600 := (iff #21 #597) -#598 := (iff #20 #20) -#599 := [refl]: #598 -#601 := [quant-intro #599]: #600 -#116 := (~ #21 #21) -#114 := (~ #20 #20) -#115 := [refl]: #114 -#117 := [nnf-pos #115]: #116 -#53 := [asserted]: #21 -#106 := [mp~ #53 #117]: #21 -#602 := [mp #106 #601]: #597 -#588 := (not #597) -#590 := (or #588 #269) -#246 := [quant-inst #8]: #590 -#281 := [unit-resolution #246 #602]: #269 -#549 := (= #13 #272) -#553 := (= 0::Int #9) -#551 := (= #570 #9) -#557 := (= #9 #570) -#560 := (= f5 #272) -#274 := [symm #281]: #560 -#561 := [monotonicity #274]: #557 -#552 := [symm #561]: #551 -#558 := (= 0::Int #570) -#559 := [hypothesis]: #277 -#562 := [symm #559]: #558 -#548 := [trans #562 #552]: #553 -#554 := [monotonicity #548]: #549 -#397 := [trans #554 #281]: #556 -#398 := [trans #397 #280]: #266 -#399 := [unit-resolution #278 #398]: false -#542 := [lemma #399]: #541 -#292 := (or #569 #277) -#22 := (:var 0 Int) -#24 := (f6 f7 #22) -#603 := (pattern #24) -#25 := (f3 f4 #24) -#30 := (= #25 0::Int) -#64 := (>= #22 0::Int) -#94 := (or #64 #30) -#610 := (forall (vars (?v0 Int)) (:pat #603) #94) -#97 := (forall (vars (?v0 Int)) #94) -#613 := (iff #97 #610) -#611 := (iff #94 #94) -#612 := [refl]: #611 -#614 := [quant-intro #612]: #613 -#110 := (~ #97 #97) -#118 := (~ #94 #94) -#119 := [refl]: #118 -#111 := [nnf-pos #119]: #110 -#29 := (< #22 0::Int) -#31 := (implies #29 #30) -#32 := (forall (vars (?v0 Int)) #31) -#100 := (iff #32 #97) -#78 := (not #29) -#79 := (or #78 #30) -#82 := (forall (vars (?v0 Int)) #79) -#98 := (iff #82 #97) -#95 := (iff #79 #94) -#92 := (iff #78 #64) -#65 := (not #64) -#87 := (not #65) -#90 := (iff #87 #64) -#91 := [rewrite]: #90 -#88 := (iff #78 #87) -#85 := (iff #29 #65) -#86 := [rewrite]: #85 -#89 := [monotonicity #86]: #88 -#93 := [trans #89 #91]: #92 -#96 := [monotonicity #93]: #95 -#99 := [quant-intro #96]: #98 -#83 := (iff #32 #82) -#80 := (iff #31 #79) -#81 := [rewrite]: #80 -#84 := [quant-intro #81]: #83 -#101 := [trans #84 #99]: #100 -#77 := [asserted]: #32 -#102 := [mp #77 #101]: #97 -#120 := [mp~ #102 #111]: #97 -#615 := [mp #120 #614]: #610 -#295 := (not #610) -#188 := (or #295 #569 #277) -#565 := (or #295 #292) -#288 := (iff #565 #188) -#289 := [rewrite]: #288 -#566 := [quant-inst #9]: #565 -#563 := [mp #566 #289]: #188 -#555 := [unit-resolution #563 #615]: #292 -#550 := [unit-resolution #555 #542]: #569 -#544 := [th-lemma arith eq-propagate 0 0 #550 #279]: #543 -#538 := [monotonicity #281]: #551 -#539 := [trans #538 #544]: #277 -[unit-resolution #542 #539]: false -unsat -f80dc9916afc1b74e708843f9de068b19b70dd30 62 0 -#2 := false -#22 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f5 :: S3 -#8 := f5 -decl f4 :: S2 -#7 := f4 -#9 := (f3 f4 f5) -decl f6 :: S3 -#10 := f6 -#11 := (f3 f4 f6) -#56 := -1::Int -#57 := (* -1::Int #11) -#58 := (+ #9 #57) -#59 := (<= #58 0::Int) -#62 := (if #59 #11 #9) -#68 := (* -1::Int #62) -#69 := (+ #9 #68) -#70 := (<= #69 0::Int) -#75 := (not #70) -#12 := (<= #9 #11) -#13 := (if #12 #11 #9) -#14 := (<= #9 #13) -#15 := (not #14) -#76 := (iff #15 #75) -#73 := (iff #14 #70) -#65 := (<= #9 #62) -#71 := (iff #65 #70) -#72 := [rewrite]: #71 -#66 := (iff #14 #65) -#63 := (= #13 #62) -#60 := (iff #12 #59) -#61 := [rewrite]: #60 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#74 := [trans #67 #72]: #73 -#77 := [monotonicity #74]: #76 -#53 := [asserted]: #15 -#78 := [mp #53 #77]: #75 -#290 := (= #9 #62) -#206 := (not #59) -#599 := [hypothesis]: #59 -#253 := (+ #11 #68) -#594 := (<= #253 0::Int) -#205 := (= #11 #62) -#291 := (or #206 #205) -#292 := [def-axiom]: #291 -#600 := [unit-resolution #292 #599]: #205 -#595 := (not #205) -#601 := (or #595 #594) -#239 := [th-lemma arith triangle-eq]: #601 -#602 := [unit-resolution #239 #600]: #594 -#604 := [th-lemma arith farkas 1 -1 1 #602 #78 #599]: false -#244 := [lemma #604]: #206 -#283 := (or #59 #290) -#294 := [def-axiom]: #283 -#245 := [unit-resolution #294 #244]: #290 -#605 := (not #290) -#603 := (or #605 #70) -#606 := [th-lemma arith triangle-eq]: #603 -[unit-resolution #606 #245 #78]: false -unsat -863d026b871fd01ad877b22fe75d3d9947adc4c3 62 0 -#2 := false -#22 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f6 :: S3 -#10 := f6 -decl f4 :: S2 -#7 := f4 -#11 := (f3 f4 f6) -decl f5 :: S3 -#8 := f5 -#9 := (f3 f4 f5) -#56 := -1::Int -#59 := (* -1::Int #11) -#60 := (+ #9 #59) -#58 := (>= #60 0::Int) -#62 := (if #58 #9 #11) -#68 := (* -1::Int #62) -#253 := (+ #11 #68) -#239 := (<= #253 0::Int) -#290 := (= #11 #62) -#206 := (not #58) -#205 := (= #9 #62) -#598 := (not #205) -#69 := (+ #9 #68) -#70 := (<= #69 0::Int) -#75 := (not #70) -#12 := (<= #11 #9) -#13 := (if #12 #9 #11) -#14 := (<= #9 #13) -#15 := (not #14) -#76 := (iff #15 #75) -#73 := (iff #14 #70) -#65 := (<= #9 #62) -#71 := (iff #65 #70) -#72 := [rewrite]: #71 -#66 := (iff #14 #65) -#63 := (= #13 #62) -#57 := (iff #12 #58) -#61 := [rewrite]: #57 -#64 := [monotonicity #61]: #63 -#67 := [monotonicity #64]: #66 -#74 := [trans #67 #72]: #73 -#77 := [monotonicity #74]: #76 -#53 := [asserted]: #15 -#78 := [mp #53 #77]: #75 -#594 := [hypothesis]: #205 -#599 := (or #598 #70) -#600 := [th-lemma arith triangle-eq]: #599 -#595 := [unit-resolution #600 #594 #78]: false -#601 := [lemma #595]: #598 -#291 := (or #206 #205) -#292 := [def-axiom]: #291 -#604 := [unit-resolution #292 #601]: #206 -#283 := (or #58 #290) -#294 := [def-axiom]: #283 -#244 := [unit-resolution #294 #604]: #290 -#245 := (not #290) -#605 := (or #245 #239) -#603 := [th-lemma arith triangle-eq]: #605 -#606 := [unit-resolution #603 #244]: #239 -[th-lemma arith farkas 1 1 1 #78 #604 #606]: false -unsat -54dc3056c3d64c5f00f83943070ff19ad35f8f48 409 0 -#2 := false -#29 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f5 :: (-> S4 Int S3) -decl f8 :: S3 -#11 := f8 -decl f4 :: S2 -#7 := f4 -#12 := (f3 f4 f8) -decl f7 :: S3 -#9 := f7 -#10 := (f3 f4 f7) -#61 := -1::Int -#72 := (* -1::Int #10) -#73 := (+ #72 #12) -decl f6 :: S4 -#8 := f6 -#76 := (f5 f6 #73) -#79 := (f3 f4 #76) -#62 := (* -1::Int #12) -#341 := (+ #62 #79) -#619 := (+ #10 #341) -#459 := (<= #619 0::Int) -#620 := (= #619 0::Int) -#63 := (+ #10 #62) -#91 := (<= #63 0::Int) -#94 := (if #91 #12 #10) -#100 := (* -1::Int #94) -#564 := (+ #10 #100) -#540 := (<= #564 0::Int) -#521 := (not #540) -#594 := (<= #79 0::Int) -#602 := (= #79 0::Int) -#243 := (not #91) -#487 := [hypothesis]: #243 -#604 := (or #91 #602) -#30 := (:var 0 Int) -#32 := (f5 f6 #30) -#663 := (pattern #32) -#33 := (f3 f4 #32) -#38 := (= #33 0::Int) -#124 := (>= #30 0::Int) -#155 := (or #124 #38) -#670 := (forall (vars (?v0 Int)) (:pat #663) #155) -#158 := (forall (vars (?v0 Int)) #155) -#673 := (iff #158 #670) -#671 := (iff #155 #155) -#672 := [refl]: #671 -#674 := [quant-intro #672]: #673 -#171 := (~ #158 #158) -#179 := (~ #155 #155) -#180 := [refl]: #179 -#172 := [nnf-pos #180]: #171 -#37 := (< #30 0::Int) -#39 := (implies #37 #38) -#40 := (forall (vars (?v0 Int)) #39) -#161 := (iff #40 #158) -#139 := (not #37) -#140 := (or #139 #38) -#143 := (forall (vars (?v0 Int)) #140) -#159 := (iff #143 #158) -#156 := (iff #140 #155) -#153 := (iff #139 #124) -#126 := (not #124) -#148 := (not #126) -#151 := (iff #148 #124) -#152 := [rewrite]: #151 -#149 := (iff #139 #148) -#146 := (iff #37 #126) -#147 := [rewrite]: #146 -#150 := [monotonicity #147]: #149 -#154 := [trans #150 #152]: #153 -#157 := [monotonicity #154]: #156 -#160 := [quant-intro #157]: #159 -#144 := (iff #40 #143) -#141 := (iff #39 #140) -#142 := [rewrite]: #141 -#145 := [quant-intro #142]: #144 -#162 := [trans #145 #160]: #161 -#138 := [asserted]: #40 -#163 := [mp #138 #162]: #158 -#181 := [mp~ #163 #172]: #158 -#675 := [mp #181 #674]: #670 -#353 := (not #670) -#605 := (or #353 #91 #602) -#630 := (>= #73 0::Int) -#603 := (or #630 #602) -#606 := (or #353 #603) -#593 := (iff #606 #605) -#607 := (or #353 #604) -#439 := (iff #607 #605) -#592 := [rewrite]: #439 -#436 := (iff #606 #607) -#598 := (iff #603 #604) -#628 := (iff #630 #91) -#338 := [rewrite]: #628 -#599 := [monotonicity #338]: #598 -#438 := [monotonicity #599]: #436 -#595 := [trans #438 #592]: #593 -#600 := [quant-inst #73]: #606 -#596 := [mp #600 #595]: #605 -#488 := [unit-resolution #596 #675]: #604 -#498 := [unit-resolution #488 #487]: #602 -#478 := (not #602) -#499 := (or #478 #594) -#454 := [th-lemma arith triangle-eq]: #499 -#455 := [unit-resolution #454 #498]: #594 -#539 := (not #594) -#466 := (or #539 #521) -#66 := (f5 f6 #63) -#69 := (f3 f4 #66) -#647 := (* -1::Int #69) -#290 := (+ #62 #647) -#631 := (+ #10 #290) -#640 := (>= #631 0::Int) -#646 := (= #631 0::Int) -#654 := (>= #63 0::Int) -#573 := (+ #12 #100) -#574 := (<= #573 0::Int) -#558 := (not #574) -#349 := (<= #69 0::Int) -#643 := (= #69 0::Int) -#649 := (not #654) -#527 := [hypothesis]: #649 -#629 := (or #654 #643) -#354 := (or #353 #654 #643) -#355 := (or #353 #629) -#625 := (iff #355 #354) -#626 := [rewrite]: #625 -#249 := [quant-inst #63]: #355 -#348 := [mp #249 #626]: #354 -#514 := [unit-resolution #348 #675]: #629 -#517 := [unit-resolution #514 #527]: #643 -#518 := (not #643) -#519 := (or #518 #349) -#515 := [th-lemma arith triangle-eq]: #519 -#520 := [unit-resolution #515 #517]: #349 -#479 := (>= #10 0::Int) -#560 := (= #10 0::Int) -#332 := (f5 f6 #10) -#480 := (f3 f4 #332) -#481 := (= #480 0::Int) -#554 := (not #479) -#541 := [hypothesis]: #554 -#440 := (or #479 #481) -#585 := (or #353 #479 #481) -#586 := (or #353 #440) -#474 := (iff #586 #585) -#489 := [rewrite]: #474 -#589 := [quant-inst #10]: #586 -#491 := [mp #589 #489]: #585 -#543 := [unit-resolution #491 #675]: #440 -#544 := [unit-resolution #543 #541]: #481 -#548 := (= #10 #480) -#546 := (= f7 #332) -#333 := (= #332 f7) -#24 := (:var 0 S3) -#25 := (f3 f4 #24) -#656 := (pattern #25) -#26 := (f5 f6 #25) -#27 := (= #26 #24) -#657 := (forall (vars (?v0 S3)) (:pat #656) #27) -#28 := (forall (vars (?v0 S3)) #27) -#660 := (iff #28 #657) -#658 := (iff #27 #27) -#659 := [refl]: #658 -#661 := [quant-intro #659]: #660 -#177 := (~ #28 #28) -#175 := (~ #27 #27) -#176 := [refl]: #175 -#178 := [nnf-pos #176]: #177 -#114 := [asserted]: #28 -#167 := [mp~ #114 #178]: #28 -#662 := [mp #167 #661]: #657 -#313 := (not #657) -#648 := (or #313 #333) -#650 := [quant-inst #9]: #648 -#545 := [unit-resolution #650 #662]: #333 -#547 := [symm #545]: #546 -#549 := [monotonicity #547]: #548 -#550 := [trans #549 #544]: #560 -#551 := (not #560) -#552 := (or #551 #479) -#542 := [th-lemma arith triangle-eq]: #552 -#553 := [unit-resolution #542 #541 #550]: false -#531 := [lemma #553]: #479 -#500 := (or #654 #91) -#446 := [th-lemma arith farkas 1 1]: #500 -#501 := [unit-resolution #446 #527]: #91 -#621 := (or #243 #620) -#34 := (= #33 #30) -#129 := (or #126 #34) -#664 := (forall (vars (?v0 Int)) (:pat #663) #129) -#132 := (forall (vars (?v0 Int)) #129) -#667 := (iff #132 #664) -#665 := (iff #129 #129) -#666 := [refl]: #665 -#668 := [quant-intro #666]: #667 -#169 := (~ #132 #132) -#168 := (~ #129 #129) -#165 := [refl]: #168 -#170 := [nnf-pos #165]: #169 -#31 := (<= 0::Int #30) -#35 := (implies #31 #34) -#36 := (forall (vars (?v0 Int)) #35) -#135 := (iff #36 #132) -#116 := (not #31) -#117 := (or #116 #34) -#120 := (forall (vars (?v0 Int)) #117) -#133 := (iff #120 #132) -#130 := (iff #117 #129) -#127 := (iff #116 #126) -#123 := (iff #31 #124) -#125 := [rewrite]: #123 -#128 := [monotonicity #125]: #127 -#131 := [monotonicity #128]: #130 -#134 := [quant-intro #131]: #133 -#121 := (iff #36 #120) -#118 := (iff #35 #117) -#119 := [rewrite]: #118 -#122 := [quant-intro #119]: #121 -#136 := [trans #122 #134]: #135 -#115 := [asserted]: #36 -#137 := [mp #115 #136]: #132 -#166 := [mp~ #137 #170]: #132 -#669 := [mp #166 #668]: #664 -#633 := (not #664) -#611 := (or #633 #243 #620) -#627 := (= #79 #73) -#352 := (not #630) -#624 := (or #352 #627) -#612 := (or #633 #624) -#616 := (iff #612 #611) -#608 := (or #633 #621) -#615 := (iff #608 #611) -#610 := [rewrite]: #615 -#609 := (iff #612 #608) -#618 := (iff #624 #621) -#335 := (iff #627 #620) -#617 := [rewrite]: #335 -#339 := (iff #352 #243) -#340 := [monotonicity #338]: #339 -#622 := [monotonicity #340 #617]: #618 -#614 := [monotonicity #622]: #609 -#457 := [trans #614 #610]: #616 -#613 := [quant-inst #73]: #612 -#458 := [mp #613 #457]: #611 -#482 := [unit-resolution #458 #669]: #621 -#506 := [unit-resolution #482 #501]: #620 -#507 := (not #620) -#502 := (or #507 #459) -#508 := [th-lemma arith triangle-eq]: #502 -#476 := [unit-resolution #508 #506]: #459 -#557 := (not #459) -#555 := (not #349) -#559 := (or #554 #555 #557 #558) -#565 := [hypothesis]: #574 -#566 := [hypothesis]: #479 -#567 := [hypothesis]: #459 -#101 := (+ #79 #100) -#102 := (+ #69 #101) -#103 := (<= #102 0::Int) -#108 := (not #103) -#20 := (<= #10 #12) -#21 := (if #20 #12 #10) -#16 := (- #12 #10) -#17 := (f5 f6 #16) -#18 := (f3 f4 #17) -#13 := (- #10 #12) -#14 := (f5 f6 #13) -#15 := (f3 f4 #14) -#19 := (+ #15 #18) -#22 := (<= #19 #21) -#23 := (not #22) -#111 := (iff #23 #108) -#82 := (+ #69 #79) -#85 := (<= #82 #21) -#88 := (not #85) -#109 := (iff #88 #108) -#106 := (iff #85 #103) -#97 := (<= #82 #94) -#104 := (iff #97 #103) -#105 := [rewrite]: #104 -#98 := (iff #85 #97) -#95 := (= #21 #94) -#92 := (iff #20 #91) -#93 := [rewrite]: #92 -#96 := [monotonicity #93]: #95 -#99 := [monotonicity #96]: #98 -#107 := [trans #99 #105]: #106 -#110 := [monotonicity #107]: #109 -#89 := (iff #23 #88) -#86 := (iff #22 #85) -#83 := (= #19 #82) -#80 := (= #18 #79) -#77 := (= #17 #76) -#74 := (= #16 #73) -#75 := [rewrite]: #74 -#78 := [monotonicity #75]: #77 -#81 := [monotonicity #78]: #80 -#70 := (= #15 #69) -#67 := (= #14 #66) -#64 := (= #13 #63) -#65 := [rewrite]: #64 -#68 := [monotonicity #65]: #67 -#71 := [monotonicity #68]: #70 -#84 := [monotonicity #71 #81]: #83 -#87 := [monotonicity #84]: #86 -#90 := [monotonicity #87]: #89 -#112 := [trans #90 #110]: #111 -#60 := [asserted]: #23 -#113 := [mp #60 #112]: #108 -#563 := [hypothesis]: #349 -#568 := [th-lemma arith farkas 1 -1 1 -1 1 #563 #113 #567 #566 #565]: false -#556 := [lemma #568]: #559 -#483 := [unit-resolution #556 #476 #531 #520]: #558 -#242 := (= #12 #94) -#328 := (or #243 #242) -#329 := [def-axiom]: #328 -#442 := [unit-resolution #329 #501]: #242 -#473 := (not #242) -#475 := (or #473 #574) -#477 := [th-lemma arith triangle-eq]: #475 -#484 := [unit-resolution #477 #442 #483]: false -#486 := [lemma #484]: #654 -#295 := (or #649 #646) -#634 := (or #633 #649 #646) -#305 := (= #69 #63) -#310 := (or #649 #305) -#635 := (or #633 #310) -#641 := (iff #635 #634) -#637 := (or #633 #295) -#276 := (iff #637 #634) -#639 := [rewrite]: #276 -#632 := (iff #635 #637) -#296 := (iff #310 #295) -#306 := (iff #305 #646) -#294 := [rewrite]: #306 -#297 := [monotonicity #294]: #296 -#638 := [monotonicity #297]: #632 -#281 := [trans #638 #639]: #641 -#636 := [quant-inst #63]: #635 -#282 := [mp #636 #281]: #634 -#460 := [unit-resolution #282 #669]: #295 -#461 := [unit-resolution #460 #486]: #646 -#462 := (not #646) -#463 := (or #462 #640) -#464 := [th-lemma arith triangle-eq]: #463 -#465 := [unit-resolution #464 #461]: #640 -#588 := (>= #12 0::Int) -#526 := (= #12 0::Int) -#330 := (f5 f6 #12) -#490 := (f3 f4 #330) -#492 := (= #490 0::Int) -#533 := (not #588) -#528 := [hypothesis]: #533 -#485 := (or #588 #492) -#495 := (or #353 #588 #492) -#496 := (or #353 #485) -#590 := (iff #496 #495) -#587 := [rewrite]: #590 -#497 := [quant-inst #12]: #496 -#591 := [mp #497 #587]: #495 -#529 := [unit-resolution #591 #675]: #485 -#524 := [unit-resolution #529 #528]: #492 -#505 := (= #12 #490) -#503 := (= f8 #330) -#334 := (= #330 f8) -#644 := (or #313 #334) -#318 := [quant-inst #11]: #644 -#530 := [unit-resolution #318 #662]: #334 -#504 := [symm #530]: #503 -#398 := [monotonicity #504]: #505 -#509 := [trans #398 #524]: #526 -#510 := (not #526) -#511 := (or #510 #588) -#516 := [th-lemma arith triangle-eq]: #511 -#512 := [unit-resolution #516 #528 #509]: false -#513 := [lemma #512]: #588 -#525 := (not #640) -#522 := (or #533 #539 #525 #521) -#534 := [hypothesis]: #540 -#535 := [hypothesis]: #588 -#536 := [hypothesis]: #640 -#537 := [hypothesis]: #594 -#538 := [th-lemma arith farkas -1 1 -1 -1 1 #113 #537 #536 #535 #534]: false -#523 := [lemma #538]: #522 -#467 := [unit-resolution #523 #513 #465]: #466 -#468 := [unit-resolution #467 #455]: #521 -#327 := (= #10 #94) -#320 := (or #91 #327) -#331 := [def-axiom]: #320 -#469 := [unit-resolution #331 #487]: #327 -#470 := (not #327) -#471 := (or #470 #540) -#456 := [th-lemma arith triangle-eq]: #471 -#472 := [unit-resolution #456 #469 #468]: false -#433 := [lemma #472]: #91 -#434 := [unit-resolution #482 #433]: #620 -#441 := [unit-resolution #508 #434]: #459 -#443 := [unit-resolution #329 #433]: #242 -#444 := [unit-resolution #477 #443]: #574 -#445 := (or #349 #525 #243) -#447 := [th-lemma arith assign-bounds 1 -1]: #445 -#448 := [unit-resolution #447 #465 #433]: #349 -#449 := (or #555 #557 #558) -#450 := [unit-resolution #556 #531]: #449 -[unit-resolution #450 #448 #444 #441]: false -unsat -a792a04eb456fe8e05c404760a48764de177c4d7 109 0 -#2 := false -#28 := 0::Int -decl f3 :: (-> S2 S3 Int) -decl f5 :: S3 -#8 := f5 -decl f4 :: S2 -#7 := f4 -#9 := (f3 f4 f5) -decl f7 :: S3 -#13 := f7 -#14 := (f3 f4 f7) -#67 := -1::Int -#74 := (* -1::Int #14) -#86 := (+ #9 #74) -#87 := (<= #86 0::Int) -#90 := (if #87 #14 #9) -#96 := (* -1::Int #90) -decl f6 :: S3 -#10 := f6 -#11 := (f3 f4 f6) -#97 := (+ #11 #96) -#98 := (<= #97 0::Int) -#99 := (not #98) -#75 := (+ #11 #74) -#76 := (<= #75 0::Int) -#77 := (not #76) -#70 := (* -1::Int #11) -#71 := (+ #9 #70) -#69 := (>= #71 0::Int) -#68 := (not #69) -#80 := (and #68 #77) -#83 := (not #80) -#104 := (or #83 #99) -#107 := (not #104) -#17 := (<= #9 #14) -#18 := (if #17 #14 #9) -#19 := (< #18 #11) -#15 := (< #14 #11) -#12 := (< #9 #11) -#16 := (and #12 #15) -#20 := (implies #16 #19) -#21 := (not #20) -#110 := (iff #21 #107) -#60 := (not #16) -#61 := (or #60 #19) -#64 := (not #61) -#108 := (iff #64 #107) -#105 := (iff #61 #104) -#102 := (iff #19 #99) -#93 := (< #90 #11) -#100 := (iff #93 #99) -#101 := [rewrite]: #100 -#94 := (iff #19 #93) -#91 := (= #18 #90) -#88 := (iff #17 #87) -#89 := [rewrite]: #88 -#92 := [monotonicity #89]: #91 -#95 := [monotonicity #92]: #94 -#103 := [trans #95 #101]: #102 -#84 := (iff #60 #83) -#81 := (iff #16 #80) -#78 := (iff #15 #77) -#79 := [rewrite]: #78 -#72 := (iff #12 #68) -#73 := [rewrite]: #72 -#82 := [monotonicity #73 #79]: #81 -#85 := [monotonicity #82]: #84 -#106 := [monotonicity #85 #103]: #105 -#109 := [monotonicity #106]: #108 -#65 := (iff #21 #64) -#62 := (iff #20 #61) -#63 := [rewrite]: #62 -#66 := [monotonicity #63]: #65 -#111 := [trans #66 #109]: #110 -#59 := [asserted]: #21 -#112 := [mp #59 #111]: #107 -#116 := [not-or-elim #112]: #98 -#113 := [not-or-elim #112]: #80 -#114 := [and-elim #113]: #68 -#644 := (+ #9 #96) -#627 := (>= #644 0::Int) -#330 := (= #9 #90) -#246 := (not #87) -#245 := (= #14 #90) -#628 := (not #245) -#642 := (+ #14 #96) -#633 := (>= #642 0::Int) -#357 := (not #633) -#115 := [and-elim #113]: #77 -#355 := [hypothesis]: #633 -#356 := [th-lemma arith farkas -1 -1 1 #355 #115 #116]: false -#358 := [lemma #356]: #357 -#252 := [hypothesis]: #245 -#629 := (or #628 #633) -#351 := [th-lemma arith triangle-eq]: #629 -#352 := [unit-resolution #351 #252 #358]: false -#626 := [lemma #352]: #628 -#331 := (or #246 #245) -#332 := [def-axiom]: #331 -#631 := [unit-resolution #332 #626]: #246 -#323 := (or #87 #330) -#334 := [def-axiom]: #323 -#341 := [unit-resolution #334 #631]: #330 -#342 := (not #330) -#343 := (or #342 #627) -#344 := [th-lemma arith triangle-eq]: #343 -#622 := [unit-resolution #344 #341]: #627 -[th-lemma arith farkas -1 1 1 #622 #114 #116]: false -unsat -06ea32eecccdf6605c3b038ea8337a1d74e482b8 137 0 -#2 := false -decl f5 :: S3 -#8 := f5 -decl f6 :: (-> S4 Int S3) -#10 := 0::Int -decl f7 :: S4 -#12 := f7 -#13 := (f6 f7 0::Int) -decl f3 :: (-> S2 S3 Int) -decl f4 :: S2 -#7 := f4 -#9 := (f3 f4 f5) -#11 := (<= #9 0::Int) -#14 := (if #11 #13 f5) -#266 := (= f5 #14) -#181 := (= #13 #14) -#568 := (not #266) -#15 := (= #14 f5) -#16 := (not #15) -#278 := (iff #16 #568) -#567 := (iff #15 #266) -#564 := [commutativity]: #567 -#279 := [monotonicity #564]: #278 -#52 := [asserted]: #16 -#280 := [mp #52 #279]: #568 -#259 := (or #11 #266) -#270 := [def-axiom]: #259 -#281 := [unit-resolution #270 #280]: #11 -#182 := (not #11) -#267 := (or #182 #181) -#268 := [def-axiom]: #267 -#548 := [unit-resolution #268 #281]: #181 -#399 := (= f5 #13) -#272 := (f6 f7 #9) -#397 := (= #272 #13) -#274 := (= #9 0::Int) -#252 := (f3 f4 #272) -#377 := (= #252 0::Int) -#273 := (>= #9 0::Int) -#289 := (not #377) -#563 := [hypothesis]: #289 -#584 := (or #273 #377) -#22 := (:var 0 Int) -#24 := (f6 f7 #22) -#603 := (pattern #24) -#25 := (f3 f4 #24) -#30 := (= #25 0::Int) -#64 := (>= #22 0::Int) -#94 := (or #64 #30) -#610 := (forall (vars (?v0 Int)) (:pat #603) #94) -#97 := (forall (vars (?v0 Int)) #94) -#613 := (iff #97 #610) -#611 := (iff #94 #94) -#612 := [refl]: #611 -#614 := [quant-intro #612]: #613 -#110 := (~ #97 #97) -#118 := (~ #94 #94) -#119 := [refl]: #118 -#111 := [nnf-pos #119]: #110 -#29 := (< #22 0::Int) -#31 := (implies #29 #30) -#32 := (forall (vars (?v0 Int)) #31) -#100 := (iff #32 #97) -#78 := (not #29) -#79 := (or #78 #30) -#82 := (forall (vars (?v0 Int)) #79) -#98 := (iff #82 #97) -#95 := (iff #79 #94) -#92 := (iff #78 #64) -#65 := (not #64) -#87 := (not #65) -#90 := (iff #87 #64) -#91 := [rewrite]: #90 -#88 := (iff #78 #87) -#85 := (iff #29 #65) -#86 := [rewrite]: #85 -#89 := [monotonicity #86]: #88 -#93 := [trans #89 #91]: #92 -#96 := [monotonicity #93]: #95 -#99 := [quant-intro #96]: #98 -#83 := (iff #32 #82) -#80 := (iff #31 #79) -#81 := [rewrite]: #80 -#84 := [quant-intro #81]: #83 -#101 := [trans #84 #99]: #100 -#77 := [asserted]: #32 -#102 := [mp #77 #101]: #97 -#120 := [mp~ #102 #111]: #97 -#615 := [mp #120 #614]: #610 -#591 := (not #610) -#592 := (or #591 #273 #377) -#593 := (or #591 #584) -#589 := (iff #593 #592) -#595 := [rewrite]: #589 -#594 := [quant-inst #9]: #593 -#585 := [mp #594 #595]: #592 -#559 := [unit-resolution #585 #615]: #584 -#560 := [unit-resolution #559 #563]: #273 -#557 := [th-lemma arith eq-propagate 0 0 #560 #281]: #274 -#558 := (= #252 #9) -#269 := (= #272 f5) -#17 := (:var 0 S3) -#18 := (f3 f4 #17) -#596 := (pattern #18) -#19 := (f6 f7 #18) -#20 := (= #19 #17) -#597 := (forall (vars (?v0 S3)) (:pat #596) #20) -#21 := (forall (vars (?v0 S3)) #20) -#600 := (iff #21 #597) -#598 := (iff #20 #20) -#599 := [refl]: #598 -#601 := [quant-intro #599]: #600 -#116 := (~ #21 #21) -#114 := (~ #20 #20) -#115 := [refl]: #114 -#117 := [nnf-pos #115]: #116 -#53 := [asserted]: #21 -#106 := [mp~ #53 #117]: #21 -#602 := [mp #106 #601]: #597 -#588 := (not #597) -#590 := (or #588 #269) -#246 := [quant-inst #8]: #590 -#561 := [unit-resolution #246 #602]: #269 -#562 := [monotonicity #561]: #558 -#551 := [trans #562 #557]: #377 -#552 := [unit-resolution #563 #551]: false -#553 := [lemma #552]: #377 -#555 := (= #9 #252) -#549 := (= f5 #272) -#554 := [symm #561]: #549 -#550 := [monotonicity #554]: #555 -#556 := [trans #550 #553]: #274 -#398 := [monotonicity #556]: #397 -#541 := [trans #554 #398]: #399 -#542 := [trans #541 #548]: #266 -[unit-resolution #280 #542]: false -unsat diff -r acea12b85315 -r b1f4291eb916 src/HOL/SMT_Examples/SMT_Tests.thy --- a/src/HOL/SMT_Examples/SMT_Tests.thy Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/SMT_Examples/SMT_Tests.thy Tue Jan 01 11:36:30 2013 +0100 @@ -109,7 +109,6 @@ "\x. P x \ (\y. P x \ P y)" "(\x. P x \ Q x) \ (\x. P x) \ (\x. Q x)" "(\x. P x) \ R \ (\x. P x \ R)" - "(\x. P x) \ R \ (\x. P x \ R)" "(\x y z. S x z) \ (\x z. S x z)" "(\x y. S x y \ S y x) \ (\x. S x y) \ S y x" "(\x. P x \ P (f x)) \ P d \ P (f(f(f(d))))" @@ -118,6 +117,11 @@ by smt+ lemma + "(\x. P x) \ R \ (\x. P x \ R)" + using [[smt_oracle]] by smt + (* BUG: Z3 proof parser (line 34): unknown function symbol: "S2!val!0" *) + +lemma "\x. x = x" "(\x. P x) \ (\y. P y)" "(\x. P x \ Q x) \ (\x. P x) \ (\x. Q x)" @@ -133,7 +137,8 @@ "\x. P x \ P a \ P b" "\x. (\y. P y) \ P x" "(\x. Q \ P x) \ (Q \ (\x. P x))" -by smt+ + using [[smt_oracle]] by smt+ + (* BUG: Z3 proof parser (line 34): unknown function symbol: "S2!val!0" *) lemma "(\(\x. P x)) \ (\x. \ P x)" diff -r acea12b85315 -r b1f4291eb916 src/HOL/SMT_Examples/SMT_Word_Examples.certs --- a/src/HOL/SMT_Examples/SMT_Word_Examples.certs Tue Jan 01 11:35:22 2013 +0100 +++ b/src/HOL/SMT_Examples/SMT_Word_Examples.certs Tue Jan 01 11:36:30 2013 +0100 @@ -1,56 +1,56 @@ -76e44ee5933c173533f6c97186112ffd01a35ae7 1 0 +ef8166854c461e296fe9c596b7a3fe12065b0c65 1 0 unsat -ab57bdb94d69bdaba64439f9bb267d64807e1b5e 1 0 +d1ec4aa8c4a5f474e8dbb8a8acbdd12fc33b0cda 1 0 unsat -401498352b7622bd35b4dfc98f7cffcbc6c68d8f 1 0 +03dee604b20d98218bc88a69efcbf0f1c6dc057a 1 0 unsat -788a14cdbdb52ecdc7af1170ffad340615282c1d 1 0 +6a68bdb5b2a92a239021f6188a807622fe7b8213 1 0 unsat -975e232ce6b6ffe7dec903c82ba2e55be9be4b55 1 0 +9be3195f24c1786963c05e51e63a24efa7c83141 1 0 unsat -6b59badfb0234682536bb0ad166188999b0c6ddc 1 0 +608ed753221bdf2f1769ea3686a0f970108a7087 1 0 unsat -3382bcdf1086a48fcafa193342eaa14b3d909da5 1 0 +610484e81fc38952a9a2cb0bfc83d424f7f96ca8 1 0 unsat -b70039502c53afd0aa36eb84a1b69ddb2aa2d889 1 0 +0a06a4c179bec3512f3dc01e338f246fca223ddb 1 0 unsat -1708d764034dbf13b2c2700d611d5ffa101211d9 1 0 +dd232118189a55ac7fc80599d2738be8bbaa9333 1 0 unsat -c477e950ae95e3b24973c8c733ec2bea8b9b2d38 1 0 +8426f9081bd693e21cd8b2e13d07cea1e69e8abd 1 0 unsat -1093c5f8705b619e8a7be9b8025eeb457136ec3e 1 0 +8d83ab1c5a55640d0165bbd736d2cc217bcc2efd 1 0 unsat -dd3396716b2da248d8c9added0ceea02fef4ba84 1 0 +542ef8141028455b42a51f60e3981a74373a60b3 1 0 unsat -bdcc1e71a24633edb63d0dd3ba120c65e846f3ce 1 0 +564709a03da50b938c3b1ab2a8a2f0dc8d8a4749 1 0 unsat -e2eacbb801fda7d852db0c81474cb853fd1c712b 1 0 +c4acaeb4324634878481e3faae3beae53a641067 1 0 unsat -f0d4a4b3c8c63de26b273932bfe1395e8b793560 1 0 +873ce0289bcfaf43a446c6ed55bec4289eea0ffd 1 0 unsat -88c2d9cc032fd024a08d4ba295900da6bce5f5d4 1 0 +8383b80b5e8011f2b51c01ea89c14ce766f5a82b 1 0 unsat -1bcdaf67c99875bf6db184c44d694d9acd5f4fe6 1 0 +6694dc1c5420588e5e48281a8835ac019bfb1aa7 1 0 unsat -c00707370876ed215f3713cd85573c4763ec2a26 1 0 +4094196f5d25f48682e6634b4326469abc38d250 1 0 unsat -1cb480a8b9f94702afaeb571497b186daedb1ef8 1 0 +0597f614ff89c7376d01987b4737ab991b5a321c 1 0 unsat -9e8b9e428288ae30c668e8f03352d15d8e286432 1 0 +44f955a3f3fab3f5203ec29edc7e00e7cb81bedc 1 0 unsat -196c4a9a6b5640282f300e93c54ff8eb71316ff5 1 0 +927e5f0e88fadf6d2f604b1d863a37fc682f942b 1 0 unsat -1826991131b49208eb8677e518d5be0f42b61b38 1 0 +818922160b53f843888d258a1ef7e5d5ddf5129f 1 0 unsat -55f83dbb53da0f4b9428053cd94f44601bcaa774 1 0 +afc6dff121c48475665b0ef064826ffa2cad0e85 1 0 unsat -ab7c984b7a66073b1abad84ef52b929976a35d86 1 0 +b9ab61d9521faeaa45ec63bff4581742c3e6c550 1 0 unsat -bfa3fce180488cfe4ad0ac727bb623640e0d32b2 1 0 +8e60769fce6622cdca312aa54d4a77329a99dac2 1 0 unsat -90e9872517e16cc673eb5c48dc5cbf7bc9c432ac 1 0 +bd55726cefc783f8e9ef4ad38596e1f24cca3663 1 0 unsat -72e166f5efdbfd3fe1c8bdfadba5d3492475412c 1 0 +4e48efd5c9874aedf200e06875d5597b31d98075 1 0 unsat -c02804bc11c152c5fb78f37c0e820d1472eb067d 1 0 +e5c27ae0a583eeafeaa4ef3c59b1b4ec53e06b0f 1 0 unsat