src/HOL/Boogie/Examples/cert/VCC_maximum.proof

adapted proofs due to changes in HOL-Boogie

#2 := false
decl uf_110 :: (-> T4 T5 int)
decl uf_66 :: (-> T5 int T3 T5)
decl uf_7 :: T3
#10 := uf_7
decl ?x786!14 :: int
#18483 := ?x786!14
decl uf_43 :: (-> T3 int T5)
decl uf_274 :: int
#2959 := uf_274
#2960 := (uf_43 uf_7 uf_274)
#18488 := (uf_66 #2960 ?x786!14 uf_7)
decl uf_273 :: T4
#2957 := uf_273
#18489 := (uf_110 uf_273 #18488)
decl uf_294 :: int
#3060 := uf_294
#3180 := (uf_66 #2960 uf_294 uf_7)
#3189 := (uf_110 uf_273 #3180)
#29114 := (= #3189 #18489)
#29119 := (not #29114)
#121 := 0::int
#4066 := -1::int
#18810 := (* -1::int #18489)
#29118 := (+ #3189 #18810)
#29120 := (>= #29118 0::int)
#29130 := (not #29120)
decl uf_303 :: int
#3198 := uf_303
#13466 := (* -1::int uf_303)
#28824 := (+ #3189 #13466)
#28825 := (<= #28824 0::int)
#28823 := (= #3189 uf_303)
decl uf_300 :: int
#3191 := uf_300
#12365 := (= uf_300 uf_303)
#18811 := (+ uf_303 #18810)
#18812 := (>= #18811 0::int)
#18797 := (* -1::int ?x786!14)
decl uf_305 :: int
#3208 := uf_305
#18798 := (+ uf_305 #18797)
#18799 := (<= #18798 0::int)
#18485 := (>= ?x786!14 0::int)
#22265 := (not #18485)
#7495 := 4294967295::int
#18484 := (<= ?x786!14 4294967295::int)
#22264 := (not #18484)
#22280 := (or #22264 #22265 #18799 #18812)
#22285 := (not #22280)
#161 := (:var 0 int)
#3044 := (uf_66 #2960 #161 uf_7)
#23194 := (pattern #3044)
#15097 := (<= #161 4294967295::int)
#19482 := (not #15097)
#3045 := (uf_110 uf_273 #3044)
#13467 := (+ #3045 #13466)
#13468 := (<= #13467 0::int)
#13447 := (* -1::int uf_305)
#13455 := (+ #161 #13447)
#13454 := (>= #13455 0::int)
#4065 := (>= #161 0::int)
#4987 := (not #4065)
#22246 := (or #4987 #13454 #13468 #19482)
#23211 := (forall (vars (?x786 int)) (:pat #23194) #22246)
#23216 := (not #23211)
decl uf_304 :: int
#3200 := uf_304
#13488 := (* -1::int uf_304)
decl uf_272 :: int
#2954 := uf_272
#13489 := (+ uf_272 #13488)
#13490 := (<= #13489 0::int)
#3221 := (uf_66 #2960 uf_304 uf_7)
#3222 := (uf_110 uf_273 #3221)
#12404 := (= uf_303 #3222)
#22231 := (not #12404)
#22232 := (or #22231 #13490)
#22233 := (not #22232)
#23219 := (or #22233 #23216)
#23222 := (not #23219)
#23225 := (or #23222 #22285)
#23228 := (not #23225)
#13448 := (+ uf_272 #13447)
#13446 := (>= #13448 0::int)
#13451 := (not #13446)
#23231 := (or #13451 #23228)
#23234 := (not #23231)
#23237 := (or #13451 #23234)
#23240 := (not #23237)
#15795 := 4294967294::int
#15796 := (<= uf_294 4294967294::int)
#18466 := (not #15796)
#13515 := (+ uf_294 #13447)
#13514 := (= #13515 -1::int)
#13518 := (not #13514)
#892 := 2::int
#13438 := (>= uf_305 2::int)
#22308 := (not #13438)
#13430 := (>= uf_294 -1::int)
#18463 := (not #13430)
#13421 := (>= uf_304 0::int)
#22307 := (not #13421)
decl up_278 :: (-> T4 T1 T1 int T3 bool)
decl uf_4 :: T3
#7 := uf_4
decl uf_291 :: T1
#3035 := uf_291
decl uf_306 :: T1
#3210 := uf_306
#3211 := (up_278 uf_273 uf_306 uf_291 uf_305 uf_4)
#12469 := (not #3211)
#23243 := (or #12469 #22307 #18463 #22308 #13518 #18466 #23240)
#23246 := (not #23243)
#23249 := (or #18463 #18466 #23246)
#23252 := (not #23249)
#4 := 1::int
#13412 := (>= uf_294 1::int)
#13552 := (not #13412)
#12368 := (= uf_294 uf_304)
#12515 := (not #12368)
#12524 := (not #12365)
#12360 := (= #3189 uf_300)
#12567 := (not #12360)
decl uf_68 :: (-> T4 T5 T2)
#3186 := (uf_68 uf_273 #3180)
decl uf_9 :: T2
#19 := uf_9
#12354 := (= uf_9 #3186)
#18434 := (not #12354)
decl uf_48 :: (-> T5 T3 T2)
#3181 := (uf_48 #3180 uf_7)
#12345 := (= uf_9 #3181)
#18425 := (not #12345)
decl uf_289 :: T1
#3032 := uf_289
decl uf_302 :: T1
#3195 := uf_302
#3196 := (up_278 uf_273 uf_302 uf_289 uf_294 uf_4)
#12549 := (not #3196)
decl uf_287 :: T1
#3029 := uf_287
decl uf_301 :: T1
#3193 := uf_301
#3194 := (up_278 uf_273 uf_301 uf_287 uf_300 uf_7)
#12558 := (not #3194)
#23255 := (or #12558 #12549 #18425 #18434 #12567 #12524 #12515 #13552 #22307 #23252)
#23258 := (not #23255)
decl uf_25 :: (-> T4 T5 T5)
decl uf_135 :: (-> T14 T5)
decl uf_58 :: (-> T13 T5 T14)
decl uf_59 :: (-> T4 T13)
#3149 := (uf_59 uf_273)
#26583 := (uf_58 #3149 #3180)
#27027 := (uf_135 #26583)
#27032 := (uf_25 uf_273 #27027)
decl uf_26 :: T5
#77 := uf_26
#27033 := (= uf_26 #27032)
decl uf_210 :: (-> T4 T5 T2)
#27028 := (uf_210 uf_273 #27027)
#27031 := (= uf_9 #27028)
#27089 := (or #27031 #27033)
#27092 := (not #27089)
decl uf_136 :: (-> T14 T2)
#27042 := (uf_136 #26583)
#27043 := (= uf_9 #27042)
#27044 := (not #27043)
decl uf_27 :: (-> T4 T5 T2)
#27039 := (uf_27 uf_273 #27027)
#27040 := (= uf_9 #27039)
#27041 := (not #27040)
#27083 := (or #27041 #27044)
#27086 := (not #27083)
decl uf_12 :: (-> T3 T8)
decl uf_13 :: (-> T5 T3)
#26922 := (uf_13 #3180)
#27047 := (uf_12 #26922)
decl uf_14 :: T8
#28 := uf_14
#27065 := (= uf_14 #27047)
#27080 := (not #27065)
#27036 := (uf_13 #27027)
#27037 := (uf_12 #27036)
#27038 := (= uf_14 #27037)
#27098 := (or #27038 #27080 #27086 #27092)
#27103 := (not #27098)
#27054 := (uf_25 uf_273 #3180)
#27055 := (= uf_26 #27054)
#27052 := (uf_210 uf_273 #3180)
#27053 := (= uf_9 #27052)
#27068 := (or #27053 #27055)
#27071 := (not #27068)
#27074 := (or #27065 #27071)
#27077 := (not #27074)
#27106 := (or #27077 #27103)
#27109 := (not #27106)
decl uf_24 :: (-> T4 T5 T2)
#3183 := (uf_24 uf_273 #3180)
#12348 := (= uf_9 #3183)
#18428 := (not #12348)
#27112 := (or #18428 #27109)
#27115 := (not #27112)
#27118 := (iff #12354 #27115)
#28635 := (not #27118)
#28695 := [hypothesis]: #28635
#23 := (:var 0 T5)
#47 := (:var 1 T4)
#2381 := (uf_68 #47 #23)
#2382 := (pattern #2381)
#282 := (uf_59 #47)
#2384 := (uf_58 #282 #23)
#2388 := (uf_135 #2384)
#2399 := (uf_210 #47 #2388)
#10502 := (= uf_9 #2399)
#2397 := (uf_25 #47 #2388)
#10499 := (= uf_26 #2397)
#10505 := (or #10499 #10502)
#21939 := (not #10505)
#2393 := (uf_13 #2388)
#2394 := (uf_12 #2393)
#10493 := (= uf_14 #2394)
#2389 := (uf_27 #47 #2388)
#10484 := (= uf_9 #2389)
#10487 := (not #10484)
#2385 := (uf_136 #2384)
#10478 := (= uf_9 #2385)
#10481 := (not #10478)
#10490 := (or #10481 #10487)
#21938 := (not #10490)
#26 := (uf_13 #23)
#27 := (uf_12 #26)
#29 := (= #27 uf_14)
#52 := (not #29)
#21940 := (or #52 #21938 #10493 #21939)
#21941 := (not #21940)
#2405 := (uf_210 #47 #23)
#10517 := (= uf_9 #2405)
#142 := (uf_25 #47 #23)
#3639 := (= uf_26 #142)
#10520 := (or #3639 #10517)
#21933 := (not #10520)
#21934 := (or #29 #21933)
#21935 := (not #21934)
#21944 := (or #21935 #21941)
#21950 := (not #21944)
#146 := (uf_24 #47 #23)
#3645 := (= uf_9 #146)
#11090 := (not #3645)
#21951 := (or #11090 #21950)
#21952 := (not #21951)
#10474 := (= uf_9 #2381)
#21957 := (iff #10474 #21952)
#21960 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #21957)
#10496 := (not #10493)
#10538 := (and #29 #10490 #10496 #10505)
#10523 := (and #52 #10520)
#10544 := (or #10523 #10538)
#10549 := (and #3645 #10544)
#10552 := (iff #10474 #10549)
#10555 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10552)
#21961 := (iff #10555 #21960)
#21958 := (iff #10552 #21957)
#21955 := (iff #10549 #21952)
#21947 := (and #3645 #21944)
#21953 := (iff #21947 #21952)
#21954 := [rewrite]: #21953
#21948 := (iff #10549 #21947)
#21945 := (iff #10544 #21944)
#21942 := (iff #10538 #21941)
#21943 := [rewrite]: #21942
#21936 := (iff #10523 #21935)
#21937 := [rewrite]: #21936
#21946 := [monotonicity #21937 #21943]: #21945
#21949 := [monotonicity #21946]: #21948
#21956 := [trans #21949 #21954]: #21955
#21959 := [monotonicity #21956]: #21958
#21962 := [quant-intro #21959]: #21961
#17883 := (~ #10555 #10555)
#17881 := (~ #10552 #10552)
#17882 := [refl]: #17881
#17884 := [nnf-pos #17882]: #17883
#2406 := (= #2405 uf_9)
#143 := (= #142 uf_26)
#2407 := (or #143 #2406)
#2408 := (and #52 #2407)
#2400 := (= #2399 uf_9)
#2398 := (= #2397 uf_26)
#2401 := (or #2398 #2400)
#2395 := (= #2394 uf_14)
#2396 := (not #2395)
#2402 := (and #2396 #2401)
#2390 := (= #2389 uf_9)
#2391 := (not #2390)
#2386 := (= #2385 uf_9)
#2387 := (not #2386)
#2392 := (or #2387 #2391)
#2403 := (and #2392 #2402)
#2404 := (and #29 #2403)
#2409 := (or #2404 #2408)
#147 := (= #146 uf_9)
#2410 := (and #147 #2409)
#2383 := (= #2381 uf_9)
#2411 := (iff #2383 #2410)
#2412 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #2411)
#10558 := (iff #2412 #10555)
#10508 := (and #10496 #10505)
#10511 := (and #10490 #10508)
#10514 := (and #29 #10511)
#10526 := (or #10514 #10523)
#10529 := (and #3645 #10526)
#10532 := (iff #10474 #10529)
#10535 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10532)
#10556 := (iff #10535 #10555)
#10553 := (iff #10532 #10552)
#10550 := (iff #10529 #10549)
#10547 := (iff #10526 #10544)
#10541 := (or #10538 #10523)
#10545 := (iff #10541 #10544)
#10546 := [rewrite]: #10545
#10542 := (iff #10526 #10541)
#10539 := (iff #10514 #10538)
#10540 := [rewrite]: #10539
#10543 := [monotonicity #10540]: #10542
#10548 := [trans #10543 #10546]: #10547
#10551 := [monotonicity #10548]: #10550
#10554 := [monotonicity #10551]: #10553
#10557 := [quant-intro #10554]: #10556
#10536 := (iff #2412 #10535)
#10533 := (iff #2411 #10532)
#10530 := (iff #2410 #10529)
#10527 := (iff #2409 #10526)
#10524 := (iff #2408 #10523)
#10521 := (iff #2407 #10520)
#10518 := (iff #2406 #10517)
#10519 := [rewrite]: #10518
#3640 := (iff #143 #3639)
#3641 := [rewrite]: #3640
#10522 := [monotonicity #3641 #10519]: #10521
#10525 := [monotonicity #10522]: #10524
#10515 := (iff #2404 #10514)
#10512 := (iff #2403 #10511)
#10509 := (iff #2402 #10508)
#10506 := (iff #2401 #10505)
#10503 := (iff #2400 #10502)
#10504 := [rewrite]: #10503
#10500 := (iff #2398 #10499)
#10501 := [rewrite]: #10500
#10507 := [monotonicity #10501 #10504]: #10506
#10497 := (iff #2396 #10496)
#10494 := (iff #2395 #10493)
#10495 := [rewrite]: #10494
#10498 := [monotonicity #10495]: #10497
#10510 := [monotonicity #10498 #10507]: #10509
#10491 := (iff #2392 #10490)
#10488 := (iff #2391 #10487)
#10485 := (iff #2390 #10484)
#10486 := [rewrite]: #10485
#10489 := [monotonicity #10486]: #10488
#10482 := (iff #2387 #10481)
#10479 := (iff #2386 #10478)
#10480 := [rewrite]: #10479
#10483 := [monotonicity #10480]: #10482
#10492 := [monotonicity #10483 #10489]: #10491
#10513 := [monotonicity #10492 #10510]: #10512
#10516 := [monotonicity #10513]: #10515
#10528 := [monotonicity #10516 #10525]: #10527
#3646 := (iff #147 #3645)
#3647 := [rewrite]: #3646
#10531 := [monotonicity #3647 #10528]: #10530
#10476 := (iff #2383 #10474)
#10477 := [rewrite]: #10476
#10534 := [monotonicity #10477 #10531]: #10533
#10537 := [quant-intro #10534]: #10536
#10559 := [trans #10537 #10557]: #10558
#10473 := [asserted]: #2412
#10560 := [mp #10473 #10559]: #10555
#17885 := [mp~ #10560 #17884]: #10555
#21963 := [mp #17885 #21962]: #21960
#27179 := (not #21960)
#28611 := (or #27179 #27118)
#27034 := (or #27033 #27031)
#27035 := (not #27034)
#27045 := (or #27044 #27041)
#27046 := (not #27045)
#27048 := (= #27047 uf_14)
#27049 := (not #27048)
#27050 := (or #27049 #27046 #27038 #27035)
#27051 := (not #27050)
#27056 := (or #27055 #27053)
#27057 := (not #27056)
#27058 := (or #27048 #27057)
#27059 := (not #27058)
#27060 := (or #27059 #27051)
#27061 := (not #27060)
#27062 := (or #18428 #27061)
#27063 := (not #27062)
#27064 := (iff #12354 #27063)
#28614 := (or #27179 #27064)
#28616 := (iff #28614 #28611)
#28601 := (iff #28611 #28611)
#28602 := [rewrite]: #28601
#27119 := (iff #27064 #27118)
#27116 := (iff #27063 #27115)
#27113 := (iff #27062 #27112)
#27110 := (iff #27061 #27109)
#27107 := (iff #27060 #27106)
#27104 := (iff #27051 #27103)
#27101 := (iff #27050 #27098)
#27095 := (or #27080 #27086 #27038 #27092)
#27099 := (iff #27095 #27098)
#27100 := [rewrite]: #27099
#27096 := (iff #27050 #27095)
#27093 := (iff #27035 #27092)
#27090 := (iff #27034 #27089)
#27091 := [rewrite]: #27090
#27094 := [monotonicity #27091]: #27093
#27087 := (iff #27046 #27086)
#27084 := (iff #27045 #27083)
#27085 := [rewrite]: #27084
#27088 := [monotonicity #27085]: #27087
#27081 := (iff #27049 #27080)
#27066 := (iff #27048 #27065)
#27067 := [rewrite]: #27066
#27082 := [monotonicity #27067]: #27081
#27097 := [monotonicity #27082 #27088 #27094]: #27096
#27102 := [trans #27097 #27100]: #27101
#27105 := [monotonicity #27102]: #27104
#27078 := (iff #27059 #27077)
#27075 := (iff #27058 #27074)
#27072 := (iff #27057 #27071)
#27069 := (iff #27056 #27068)
#27070 := [rewrite]: #27069
#27073 := [monotonicity #27070]: #27072
#27076 := [monotonicity #27067 #27073]: #27075
#27079 := [monotonicity #27076]: #27078
#27108 := [monotonicity #27079 #27105]: #27107
#27111 := [monotonicity #27108]: #27110
#27114 := [monotonicity #27111]: #27113
#27117 := [monotonicity #27114]: #27116
#27120 := [monotonicity #27117]: #27119
#28600 := [monotonicity #27120]: #28616
#28603 := [trans #28600 #28602]: #28616
#28615 := [quant-inst]: #28614
#28604 := [mp #28615 #28603]: #28611
#28729 := [unit-resolution #28604 #21963 #28695]: false
#28730 := [lemma #28729]: #27118
#29058 := (or #28635 #12354)
#28658 := [hypothesis]: #27098
decl uf_116 :: (-> T5 int)
#2961 := (uf_116 #2960)
decl uf_124 :: (-> T3 int T3)
#2958 := (uf_124 uf_7 uf_272)
#2962 := (uf_43 #2958 #2961)
#2965 := (uf_25 uf_273 #2962)
#28691 := (= #2965 #27032)
#28541 := (= #27032 #2965)
#29243 := (= #27027 #2962)
decl uf_143 :: (-> T3 int)
#23568 := (uf_143 #2958)
decl uf_144 :: (-> T3 T3)
#23566 := (uf_144 #2958)
#25879 := (uf_124 #23566 #23568)
#25880 := (uf_43 #25879 #2961)
#25867 := (= #25880 #2962)
#25850 := (= #25879 #2958)
#25848 := (= #23568 uf_272)
#23569 := (= uf_272 #23568)
#326 := (:var 1 T3)
#1358 := (uf_124 #326 #161)
#1592 := (pattern #1358)
#1602 := (uf_143 #1358)
#8288 := (= #161 #1602)
#8291 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #8288)
#17259 := (~ #8291 #8291)
#17257 := (~ #8288 #8288)
#17258 := [refl]: #17257
#17260 := [nnf-pos #17258]: #17259
#1603 := (= #1602 #161)
#1604 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #1603)
#8292 := (iff #1604 #8291)
#8289 := (iff #1603 #8288)
#8290 := [rewrite]: #8289
#8293 := [quant-intro #8290]: #8292
#8287 := [asserted]: #1604
#8296 := [mp #8287 #8293]: #8291
#17261 := [mp~ #8296 #17260]: #8291
#23575 := (not #8291)
#23576 := (or #23575 #23569)
#23577 := [quant-inst]: #23576
#26235 := [unit-resolution #23577 #17261]: #23569
#25849 := [symm #26235]: #25848
#25689 := (= #23566 uf_7)
#23567 := (= uf_7 #23566)
#1605 := (uf_144 #1358)
#8295 := (= #326 #1605)
#8299 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #8295)
#17264 := (~ #8299 #8299)
#17262 := (~ #8295 #8295)
#17263 := [refl]: #17262
#17265 := [nnf-pos #17263]: #17264
#1606 := (= #1605 #326)
#1607 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #1606)
#8300 := (iff #1607 #8299)
#8297 := (iff #1606 #8295)
#8298 := [rewrite]: #8297
#8301 := [quant-intro #8298]: #8300
#8294 := [asserted]: #1607
#8304 := [mp #8294 #8301]: #8299
#17266 := [mp~ #8304 #17265]: #8299
#23570 := (not #8299)
#23571 := (or #23570 #23567)
#23572 := [quant-inst]: #23571
#25688 := [unit-resolution #23572 #17266]: #23567
#25690 := [symm #25688]: #25689
#25866 := [monotonicity #25690 #25849]: #25850
#25865 := [monotonicity #25866]: #25867
#29241 := (= #27027 #25880)
decl uf_125 :: (-> T5 T5 int)
decl uf_28 :: (-> int T5)
decl uf_29 :: (-> T5 int)
#2996 := (uf_29 #2960)
#22665 := (uf_28 #2996)
#25805 := (uf_116 #22665)
#25821 := (uf_43 #23566 #25805)
#26356 := (uf_13 #25821)
#27024 := (uf_66 #25821 uf_294 #26356)
#27025 := (uf_125 #27024 #25821)
#27192 := (uf_66 #25880 #27025 #23566)
#27196 := (uf_58 #3149 #27192)
#27199 := (uf_135 #27196)
#29239 := (= #27199 #25880)
#27200 := (= #25880 #27199)
decl up_67 :: (-> T14 bool)
#27202 := (up_67 #27196)
#27203 := (not #27202)
#27201 := (not #27200)
#27197 := (uf_136 #27196)
#27198 := (= uf_9 #27197)
#27193 := (uf_24 uf_273 #27192)
#27194 := (= uf_9 #27193)
#27195 := (not #27194)
#27224 := (or #27195 #27198 #27201 #27203)
#27227 := (not #27224)
#25895 := (uf_24 uf_273 #25880)
#25896 := (= uf_9 #25895)
#2969 := (uf_24 uf_273 #2962)
#27444 := (= #2969 #25895)
#27389 := (= #25895 #2969)
#27448 := [monotonicity #25865]: #27389
#27445 := [symm #27448]: #27444
#11875 := (= uf_9 #2969)
decl uf_23 :: (-> T3 T2)
#2974 := (uf_23 #2958)
#11884 := (= uf_9 #2974)
#2971 := (uf_12 #2958)
#11878 := (= uf_14 #2971)
#11881 := (not #11878)
#2967 := (uf_48 #2962 #2958)
#11872 := (= uf_9 #2967)
#11869 := (= uf_26 #2965)
#2963 := (uf_27 uf_273 #2962)
#11866 := (= uf_9 #2963)
#14124 := (and #11866 #11869 #11872 #11875 #11881 #11884)
decl uf_269 :: int
#2942 := uf_269
#14180 := (* -1::int uf_269)
decl uf_78 :: int
#429 := uf_78
#14181 := (+ uf_78 #14180)
#14179 := (>= #14181 0::int)
#14177 := (>= uf_269 0::int)
#14184 := (and #14177 #14179)
#14187 := (not #14184)
decl uf_270 :: int
#2946 := uf_270
#14166 := (* -1::int uf_270)
decl uf_76 :: int
#409 := uf_76
#14167 := (+ uf_76 #14166)
#14165 := (>= #14167 0::int)
#14163 := (>= uf_270 0::int)
#14170 := (and #14163 #14165)
#14173 := (not #14170)
decl uf_271 :: int
#2950 := uf_271
#14152 := (* -1::int uf_271)
#14153 := (+ uf_76 #14152)
#14151 := (>= #14153 0::int)
#14149 := (>= uf_271 0::int)
#14156 := (and #14149 #14151)
#14159 := (not #14156)
#1042 := 1099511627776::int
#14137 := (>= uf_272 1099511627776::int)
#14127 := (not #14124)
decl uf_276 :: (-> T19 int)
#2989 := (:var 0 T19)
#2990 := (uf_276 #2989)
#2991 := (pattern #2990)
decl uf_277 :: int
#2992 := uf_277
#14114 := (* -1::int uf_277)
#14115 := (+ #2990 #14114)
#14113 := (>= #14115 0::int)
#14112 := (not #14113)
#14118 := (forall (vars (?x771 T19)) (:pat #2991) #14112)
#14121 := (not #14118)
#13404 := (<= uf_272 0::int)
#13405 := (not #13404)
#3016 := (uf_66 #2960 0::int uf_7)
#3026 := (uf_110 uf_273 #3016)
decl uf_285 :: int
#3025 := uf_285
#3027 := (= uf_285 #3026)
#13968 := (and #3027 #13405)
#13973 := (not #13968)
decl uf_292 :: int
#3052 := uf_292
#13902 := (* -1::int uf_292)
#13956 := (+ uf_78 #13902)
#13955 := (>= #13956 0::int)
#13952 := (>= uf_292 0::int)
#13959 := (and #13952 #13955)
#13962 := (not #13959)
decl uf_293 :: int
#3056 := uf_293
#13873 := (* -1::int uf_293)
#13943 := (+ uf_76 #13873)
#13942 := (>= #13943 0::int)
#13409 := (>= uf_293 0::int)
#13946 := (and #13409 #13942)
#13949 := (not #13946)
#13433 := (* -1::int uf_294)
#13434 := (+ uf_76 #13433)
#13933 := (>= #13434 0::int)
#13930 := (>= uf_294 0::int)
#13936 := (and #13930 #13933)
#13939 := (not #13936)
#13696 := (+ uf_272 #13433)
#13924 := (>= #13696 0::int)
#13927 := (not #13924)
#13903 := (+ #3045 #13902)
#13904 := (<= #13903 0::int)
#13891 := (+ #161 #13433)
#13890 := (>= #13891 0::int)
#4377 := (* -1::int uf_76)
#4378 := (+ #161 #4377)
#4379 := (<= #4378 0::int)
#4386 := (and #4065 #4379)
#5601 := (not #4386)
#13913 := (or #5601 #13890 #13904)
#13918 := (forall (vars (?x775 int)) #13913)
#13921 := (not #13918)
#13874 := (+ uf_272 #13873)
#13875 := (<= #13874 0::int)
#13876 := (not #13875)
#3073 := (uf_66 #2960 uf_293 uf_7)
#3074 := (uf_110 uf_273 #3073)
#11992 := (= uf_292 #3074)
#13882 := (and #11992 #13876)
#13887 := (not #13882)
#13338 := (* -1::int uf_272)
#13726 := (+ #161 #13338)
#13725 := (>= #13726 0::int)
#13727 := (not #13725)
decl uf_299 :: int
#3088 := uf_299
#3095 := (= #3045 uf_299)
#13765 := (and #3095 #4065 #4379 #13727)
#13770 := (exists (vars (?x778 int)) #13765)
#13737 := (* -1::int uf_299)
#13738 := (+ #3045 #13737)
#13739 := (<= #13738 0::int)
#13748 := (or #5601 #13725 #13739)
#13753 := (forall (vars (?x776 int)) #13748)
#13773 := (not #13753)
#13779 := (or #13773 #13770)
#13784 := (and #13753 #13779)
#13414 := (and #13409 #13412)
#13417 := (not #13414)
#12020 := (= uf_292 uf_299)
#12069 := (not #12020)
decl uf_298 :: int
#3086 := uf_298
#12017 := (= uf_293 uf_298)
#12078 := (not #12017)
decl uf_297 :: int
#3084 := uf_297
#12014 := (= uf_294 uf_297)
#12087 := (not #12014)
decl uf_296 :: int
#3082 := uf_296
#12011 := (= uf_292 uf_296)
#12096 := (not #12011)
decl up_216 :: bool
#2482 := up_216
#12144 := (not up_216)
#13811 := (or #12144 #12096 #12087 #12078 #12069 #13417 #13784)
#13816 := (and up_216 #13811)
#13697 := (<= #13696 0::int)
#13698 := (not #13697)
#13841 := (or #13417 #13698 #13816)
#13605 := (* -1::int #3189)
#13606 := (+ uf_292 #13605)
#13604 := (>= #13606 0::int)
#13603 := (not #13604)
#13432 := (>= #13434 1::int)
#13521 := (and #13430 #13432)
#13524 := (not #13521)
#13491 := (not #13490)
#13497 := (and #12404 #13491)
#13477 := (or #5601 #13454 #13468)
#13482 := (forall (vars (?x786 int)) #13477)
#13485 := (not #13482)
#13502 := (or #13485 #13497)
#13505 := (and #13482 #13502)
#13508 := (or #13451 #13505)
#13511 := (and #13446 #13508)
#13440 := (and #13421 #13438)
#13443 := (not #13440)
#13539 := (or #12469 #13443 #13511 #13518 #13524)
#13547 := (and #13430 #13432 #13539)
#13423 := (and #13412 #13421)
#13426 := (not #13423)
#12647 := (= uf_293 uf_304)
#12653 := (not #12647)
#12644 := (= uf_292 uf_303)
#12662 := (not #12644)
#13658 := (or #12662 #12653 #13417 #13426 #13547 #13603)
#12357 := (and #12345 #12354)
#12576 := (not #12357)
#13579 := (or #12558 #12549 #12576 #12567 #12524 #12515 #13552 #13426 #13547)
#13587 := (and #12345 #12354 #13579)
#12351 := (and #12345 #12348)
#12588 := (not #12351)
#13592 := (or #12588 #13587)
#13598 := (and #12345 #12348 #13592)
#13628 := (or #13417 #13598 #13604)
#13663 := (and #13628 #13658)
#13672 := (or #12576 #13417 #13663)
#13680 := (and #12345 #12354 #13672)
#13685 := (or #12588 #13680)
#13691 := (and #12345 #12348 #13685)
#13720 := (or #13417 #13691 #13697)
#13846 := (and #13720 #13841)
decl uf_178 :: (-> T4 T4 T2)
#3161 := (uf_178 uf_273 uf_273)
#12306 := (= uf_9 #3161)
#13870 := (not #12306)
decl uf_202 :: (-> T1 T4 T2)
decl uf_295 :: T1
#3078 := uf_295
#3079 := (uf_202 uf_295 uf_273)
#12000 := (= uf_9 #3079)
decl uf_55 :: (-> T4 T2)
#2986 := (uf_55 uf_273)
#11908 := (= uf_9 #2986)
#12006 := (and #11908 #12000)
#12179 := (not #12006)
decl up_280 :: (-> T4 T1 T1 T5 T3 bool)
decl uf_6 :: (-> T3 T3)
#11 := (uf_6 uf_7)
decl uf_279 :: T1
#2995 := uf_279
#3174 := (up_280 uf_273 uf_295 uf_279 #2960 #11)
#3173 := (up_278 uf_273 uf_295 uf_279 #2996 #11)
#3175 := (and #3173 #3174)
#12878 := (not #3175)
decl uf_281 :: T1
#3000 := uf_281
#3172 := (up_278 uf_273 uf_295 uf_281 uf_272 uf_4)
#12887 := (not #3172)
#3171 := (up_278 uf_273 uf_295 uf_287 uf_292 uf_7)
#12896 := (not #3171)
#3170 := (up_278 uf_273 uf_295 uf_289 uf_293 uf_4)
#12905 := (not #3170)
#3169 := (up_278 uf_273 uf_295 uf_291 uf_294 uf_4)
#12914 := (not #3169)
#14039 := (or #12914 #12905 #12896 #12887 #12878 #12179 #13870 #13417 #13846 #13887 #13921 #13927 #13939 #13949 #13962 #13973)
#14047 := (and #3027 #13405 #14039)
#13384 := (* -1::int #3045)
#13385 := (+ uf_285 #13384)
#13383 := (>= #13385 0::int)
#13371 := (>= #161 1::int)
#13393 := (or #5601 #13371 #13383)
#13398 := (forall (vars (?x773 int)) #13393)
#13401 := (not #13398)
#14052 := (or #13401 #14047)
#14055 := (and #13398 #14052)
#13365 := (>= uf_272 1::int)
#13368 := (not #13365)
#14058 := (or #13368 #14055)
#14061 := (and #13365 #14058)
#3022 := (uf_68 uf_273 #3016)
#11940 := (= uf_9 #3022)
#3017 := (uf_48 #3016 uf_7)
#11931 := (= uf_9 #3017)
#11943 := (and #11931 #11940)
#13158 := (not #11943)
decl uf_290 :: T1
#3034 := uf_290
#3036 := (up_278 uf_273 uf_290 uf_291 1::int uf_4)
#13122 := (not #3036)
decl uf_288 :: T1
#3031 := uf_288
#3033 := (up_278 uf_273 uf_288 uf_289 0::int uf_4)
#13131 := (not #3033)
decl uf_286 :: T1
#3028 := uf_286
#3030 := (up_278 uf_273 uf_286 uf_287 uf_285 uf_7)
#13140 := (not #3030)
#13149 := (not #3027)
#14082 := (or #13149 #13140 #13131 #13122 #13158 #14061)
#14090 := (and #11931 #11940 #14082)
#3019 := (uf_24 uf_273 #3016)
#11934 := (= uf_9 #3019)
#11937 := (and #11931 #11934)
#13170 := (not #11937)
#14095 := (or #13170 #14090)
#14101 := (and #11931 #11934 #14095)
decl uf_200 :: (-> T4 T5 T5 T16 T2)
decl uf_284 :: T16
#3013 := uf_284
#3014 := (uf_200 uf_273 #2962 #2962 uf_284)
#11928 := (= uf_9 #3014)
#13182 := (not #11928)
#14106 := (or #13182 #14101)
#14109 := (and #11928 #14106)
#13339 := (+ uf_76 #13338)
#13337 := (>= #13339 0::int)
#13335 := (>= uf_272 0::int)
#13342 := (and #13335 #13337)
#13345 := (not #13342)
decl uf_283 :: (-> int T5 T2)
decl uf_282 :: int
#3002 := uf_282
#3005 := (uf_283 uf_282 #23)
#3006 := (pattern #3005)
#11914 := (= uf_9 #3005)
#11920 := (not #11914)
#11925 := (forall (vars (?x772 T5)) (:pat #3006) #11920)
#13203 := (not #11925)
decl uf_275 :: T1
#2983 := uf_275
#2984 := (uf_202 uf_275 uf_273)
#11905 := (= uf_9 #2984)
#11911 := (and #11905 #11908)
#13248 := (not #11911)
decl uf_203 :: (-> T4 T2)
#2981 := (uf_203 uf_273)
#11902 := (= uf_9 #2981)
#13257 := (not #11902)
decl uf_173 :: (-> T4 int)
#3003 := (uf_173 uf_273)
#3004 := (= uf_282 #3003)
#13212 := (not #3004)
#3001 := (up_278 uf_273 uf_275 uf_281 uf_272 uf_4)
#13221 := (not #3001)
#2998 := (up_280 uf_273 uf_275 uf_279 #2960 #11)
#2997 := (up_278 uf_273 uf_275 uf_279 #2996 #11)
#2999 := (and #2997 #2998)
#13230 := (not #2999)
#14232 := (or #13230 #13221 #13212 #13257 #13248 #13203 #13345 #13404 #14109 #14121 #14127 #14137 #14159 #14173 #14187)
#14237 := (not #14232)
#1 := true
#3090 := (< #161 uf_272)
#3096 := (and #3090 #3095)
#411 := (<= #161 uf_76)
#3097 := (and #411 #3096)
#285 := (<= 0::int #161)
#3098 := (and #285 #3097)
#3099 := (exists (vars (?x778 int)) #3098)
#3100 := (implies #3099 true)
#3101 := (and #3099 #3100)
#3091 := (<= #3045 uf_299)
#3092 := (implies #3090 #3091)
#412 := (and #285 #411)
#3093 := (implies #412 #3092)
#3094 := (forall (vars (?x776 int)) #3093)
#3102 := (implies #3094 #3101)
#3103 := (and #3094 #3102)
#3104 := (implies true #3103)
#3089 := (= uf_299 uf_292)
#3105 := (implies #3089 #3104)
#3087 := (= uf_298 uf_293)
#3106 := (implies #3087 #3105)
#3085 := (= uf_297 uf_294)
#3107 := (implies #3085 #3106)
#3083 := (= uf_296 uf_292)
#3108 := (implies #3083 #3107)
#3109 := (implies true #3108)
#3057 := (<= 0::int uf_293)
#3064 := (<= 1::int uf_294)
#3065 := (and #3064 #3057)
#3110 := (implies #3065 #3109)
#3111 := (implies #3065 #3110)
#3112 := (implies true #3111)
#3113 := (implies #3065 #3112)
#3114 := (implies up_216 #3113)
#3115 := (and up_216 #3114)
#3116 := (implies #3065 #3115)
#3117 := (implies true #3116)
#3118 := (implies #3065 #3117)
#3283 := (implies #3065 #3118)
#3284 := (implies true #3283)
#3285 := (implies #3065 #3284)
#3282 := (<= uf_272 uf_294)
#3286 := (implies #3282 #3285)
#3287 := (implies #3065 #3286)
#3288 := (implies true #3287)
#3225 := (implies false true)
#3223 := (= #3222 uf_303)
#3220 := (< uf_304 uf_272)
#3224 := (and #3220 #3223)
#3226 := (implies #3224 #3225)
#3227 := (and #3224 #3226)
#3216 := (<= #3045 uf_303)
#3215 := (< #161 uf_305)
#3217 := (implies #3215 #3216)
#3218 := (implies #412 #3217)
#3219 := (forall (vars (?x786 int)) #3218)
#3228 := (implies #3219 #3227)
#3229 := (and #3219 #3228)
#3214 := (<= uf_305 uf_272)
#3230 := (implies #3214 #3229)
#3231 := (and #3214 #3230)
#3232 := (implies true #3231)
#3202 := (<= 0::int uf_304)
#3212 := (<= 2::int uf_305)
#3213 := (and #3212 #3202)
#3233 := (implies #3213 #3232)
#3234 := (implies #3211 #3233)
#3204 := (+ uf_294 1::int)
#3209 := (= uf_305 #3204)
#3235 := (implies #3209 #3234)
#3206 := (<= #3204 uf_76)
#3205 := (<= 0::int #3204)
#3207 := (and #3205 #3206)
#3236 := (implies #3207 #3235)
#3237 := (and #3207 #3236)
#3203 := (and #3064 #3202)
#3238 := (implies #3203 #3237)
#3239 := (implies true #3238)
#3259 := (= uf_304 uf_293)
#3260 := (implies #3259 #3239)
#3258 := (= uf_303 uf_292)
#3261 := (implies #3258 #3260)
#3262 := (implies true #3261)
#3263 := (implies #3065 #3262)
#3264 := (implies #3065 #3263)
#3265 := (implies true #3264)
#3266 := (implies #3065 #3265)
#3257 := (<= #3189 uf_292)
#3267 := (implies #3257 #3266)
#3268 := (implies #3065 #3267)
#3269 := (implies true #3268)
#3201 := (= uf_304 uf_294)
#3240 := (implies #3201 #3239)
#3199 := (= uf_303 uf_300)
#3241 := (implies #3199 #3240)
#3242 := (implies true #3241)
#3197 := (and #3064 #3064)
#3243 := (implies #3197 #3242)
#3244 := (implies #3196 #3243)
#3245 := (implies #3194 #3244)
#3192 := (= uf_300 #3189)
#3246 := (implies #3192 #3245)
#3187 := (= #3186 uf_9)
#3182 := (= #3181 uf_9)
#3188 := (and #3182 #3187)
#3247 := (implies #3188 #3246)
#3248 := (and #3188 #3247)
#3184 := (= #3183 uf_9)
#3185 := (and #3182 #3184)
#3249 := (implies #3185 #3248)
#3250 := (and #3185 #3249)
#3251 := (implies #3065 #3250)
#3252 := (implies true #3251)
#3253 := (implies #3065 #3252)
#3190 := (< uf_292 #3189)
#3254 := (implies #3190 #3253)
#3255 := (implies #3065 #3254)
#3256 := (implies true #3255)
#3270 := (and #3256 #3269)
#3271 := (implies #3065 #3270)
#3272 := (implies #3188 #3271)
#3273 := (and #3188 #3272)
#3274 := (implies #3185 #3273)
#3275 := (and #3185 #3274)
#3276 := (implies #3065 #3275)
#3277 := (implies true #3276)
#3278 := (implies #3065 #3277)
#3179 := (< uf_294 uf_272)
#3279 := (implies #3179 #3278)
#3280 := (implies #3065 #3279)
#3281 := (implies true #3280)
#3289 := (and #3281 #3288)
#3290 := (implies #3065 #3289)
decl uf_41 :: (-> T4 T12)
#3126 := (uf_41 uf_273)
#3177 := (= #3126 #3126)
#3176 := (= #3149 #3149)
#3178 := (and #3176 #3177)
#3291 := (implies #3178 #3290)
#3292 := (implies #3175 #3291)
#3293 := (implies #3172 #3292)
#3294 := (implies #3171 #3293)
#3295 := (implies #3170 #3294)
#3296 := (implies #3169 #3295)
#2987 := (= #2986 uf_9)
#3080 := (= #3079 uf_9)
#3081 := (and #3080 #2987)
#3297 := (implies #3081 #3296)
#3162 := (= #3161 uf_9)
decl uf_172 :: (-> T4 T5 int)
#3157 := (uf_172 uf_273 #23)
#3158 := (pattern #3157)
#3159 := (<= #3157 #3157)
#3160 := (forall (vars (?x784 T5)) (:pat #3158) #3159)
#3163 := (and #3160 #3162)
#3156 := (<= #3003 #3003)
#3164 := (and #3156 #3163)
#3298 := (implies #3164 #3297)
#3150 := (uf_58 #3149 #23)
#3151 := (pattern #3150)
#3139 := (uf_68 uf_273 #23)
#3140 := (= #3139 uf_9)
#3152 := (= #3150 #3150)
#3153 := (and #3152 #3140)
#3154 := (implies #3140 #3153)
#3155 := (forall (vars (?x783 T5)) (:pat #3151) #3154)
#3165 := (and #3155 #3164)
decl uf_40 :: (-> T12 T5 T11)
#3127 := (uf_40 #3126 #23)
#3128 := (pattern #3127)
#3145 := (= #3127 #3127)
#3146 := (and #3145 #3140)
#3147 := (implies #3140 #3146)
#3148 := (forall (vars (?x782 T5)) (:pat #3128) #3147)
#3166 := (and #3148 #3165)
decl uf_19 :: (-> T9 T5 int)
decl uf_20 :: (-> T4 T9)
#3136 := (uf_20 uf_273)
#3137 := (uf_19 #3136 #23)
#3138 := (pattern #3137)
#3141 := (= #3137 #3137)
#3142 := (and #3141 #3140)
#3143 := (implies #3140 #3142)
#3144 := (forall (vars (?x781 T5)) (:pat #3138) #3143)
#3167 := (and #3144 #3166)
decl uf_261 :: T8
#2837 := uf_261
#3129 := (uf_25 uf_273 #23)
#3130 := (uf_13 #3129)
#3131 := (uf_12 #3130)
#3132 := (= #3131 uf_261)
#3133 := (not #3132)
#3134 := (implies #3133 #3133)
#3135 := (forall (vars (?x780 T5)) (:pat #3128) #3134)
#3168 := (and #3135 #3167)
#3299 := (implies #3168 #3298)
#3300 := (implies #3065 #3299)
#3301 := (implies true #3300)
#3302 := (implies #3065 #3301)
#3303 := (implies true #3302)
#3304 := (implies #3065 #3303)
#3305 := (implies true #3304)
#3119 := (implies #3081 #3118)
#3120 := (implies #3065 #3119)
#3121 := (implies true #3120)
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#3053 := (<= 0::int uf_292)
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#3043 := (< #161 1::int)
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#3037 := (<= 1::int 1::int)
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#3041 := (and #3037 #3040)
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#3023 := (= #3022 uf_9)
#3018 := (= #3017 uf_9)
#3024 := (and #3018 #3023)
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#3328 := (and #3024 #3327)
#3020 := (= #3019 uf_9)
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#3330 := (and #3021 #3329)
#3015 := (= #3014 uf_9)
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#3011 := (<= uf_272 uf_76)
#3010 := (<= 0::int uf_272)
#3012 := (and #3010 #3011)
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#3008 := (iff #3007 false)
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#2988 := (and #2985 #2987)
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#2982 := (= #2981 uf_9)
#3340 := (implies #2982 #3339)
#3341 := (implies true #3340)
#2975 := (= #2974 uf_9)
#2972 := (= #2971 uf_14)
#2973 := (not #2972)
#2976 := (and #2973 #2975)
#2970 := (= #2969 uf_9)
#2977 := (and #2970 #2976)
#2968 := (= #2967 uf_9)
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#2966 := (= #2965 uf_26)
#2979 := (and #2966 #2978)
#2964 := (= #2963 uf_9)
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#2951 := (<= 0::int uf_271)
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#2947 := (<= 0::int uf_270)
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#2944 := (<= uf_269 uf_78)
#2943 := (<= 0::int uf_269)
#2945 := (and #2943 #2944)
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#11974 := (and #3057 #3064)
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#12150 := (and up_216 #12145)
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#12813 := (or #12112 #12171)
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#12371 := (+ 1::int uf_294)
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#12374 := (<= 0::int #12371)
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#12488 := (or #12487 #12479)
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#12709 := (not #3257)
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#4388 := [monotonicity #4064 #4381]: #4387
#5603 := [monotonicity #4388]: #5602
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#13755 := [quant-intro #13752]: #13754
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#13758 := [monotonicity #13729]: #13757
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#13769 := [trans #13764 #13767]: #13768
#13772 := [quant-intro #13769]: #13771
#13778 := [monotonicity #13772 #13775]: #13777
#13783 := [trans #13778 #13781]: #13782
#13786 := [monotonicity #13755 #13783]: #13785
#13789 := [monotonicity #13786]: #13788
#13792 := [monotonicity #13789]: #13791
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#13411 := (iff #3064 #13412)
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#13410 := [rewrite]: #13408
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#13419 := [monotonicity #13416]: #13418
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#13804 := [monotonicity #13419 #13801]: #13803
#13807 := [monotonicity #13419 #13804]: #13806
#13810 := [monotonicity #13807]: #13809
#13815 := [trans #13810 #13813]: #13814
#13818 := [monotonicity #13815]: #13817
#13825 := [monotonicity #13419 #13818]: #13824
#13828 := [monotonicity #13419 #13825]: #13827
#13831 := [monotonicity #13419 #13828]: #13830
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#13820 := [rewrite]: #13819
#13822 := [monotonicity #13820]: #13821
#13837 := [monotonicity #13822 #13834]: #13836
#13840 := [monotonicity #13419 #13837]: #13839
#13845 := [trans #13840 #13843]: #13844
#13723 := (iff #12798 #13720)
#13708 := (or #13417 #13691)
#13711 := (or #13417 #13708)
#13714 := (or #13697 #13711)
#13717 := (or #13417 #13714)
#13721 := (iff #13717 #13720)
#13722 := [rewrite]: #13721
#13718 := (iff #12798 #13717)
#13715 := (iff #12790 #13714)
#13712 := (iff #12781 #13711)
#13709 := (iff #12766 #13708)
#13694 := (iff #12760 #13691)
#13688 := (and #12351 #13685)
#13692 := (iff #13688 #13691)
#13693 := [rewrite]: #13692
#13689 := (iff #12760 #13688)
#13686 := (iff #12755 #13685)
#13683 := (iff #12749 #13680)
#13677 := (and #12357 #13672)
#13681 := (iff #13677 #13680)
#13682 := [rewrite]: #13681
#13678 := (iff #12749 #13677)
#13675 := (iff #12744 #13672)
#13666 := (or #13417 #13663)
#13669 := (or #12576 #13666)
#13673 := (iff #13669 #13672)
#13674 := [rewrite]: #13673
#13670 := (iff #12744 #13669)
#13667 := (iff #12736 #13666)
#13664 := (iff #12730 #13663)
#13661 := (iff #12718 #13658)
#13555 := (or #13426 #13547)
#13637 := (or #13555 #12653)
#13640 := (or #12662 #13637)
#13643 := (or #13417 #13640)
#13646 := (or #13417 #13643)
#13649 := (or #13417 #13646)
#13652 := (or #13603 #13649)
#13655 := (or #13417 #13652)
#13659 := (iff #13655 #13658)
#13660 := [rewrite]: #13659
#13656 := (iff #12718 #13655)
#13653 := (iff #12710 #13652)
#13650 := (iff #12701 #13649)
#13647 := (iff #12686 #13646)
#13644 := (iff #12678 #13643)
#13641 := (iff #12663 #13640)
#13638 := (iff #12654 #13637)
#13556 := (iff #12500 #13555)
#13550 := (iff #12493 #13547)
#13544 := (and #13521 #13539)
#13548 := (iff #13544 #13547)
#13549 := [rewrite]: #13548
#13545 := (iff #12493 #13544)
#13542 := (iff #12488 #13539)
#13527 := (or #13443 #13511)
#13530 := (or #12469 #13527)
#13533 := (or #13518 #13530)
#13536 := (or #13524 #13533)
#13540 := (iff #13536 #13539)
#13541 := [rewrite]: #13540
#13537 := (iff #12488 #13536)
#13534 := (iff #12479 #13533)
#13531 := (iff #12470 #13530)
#13528 := (iff #12461 #13527)
#13512 := (iff #12447 #13511)
#13509 := (iff #12442 #13508)
#13506 := (iff #12435 #13505)
#13503 := (iff #12430 #13502)
#13500 := (iff #12407 #13497)
#13494 := (and #13491 #12404)
#13498 := (iff #13494 #13497)
#13499 := [rewrite]: #13498
#13495 := (iff #12407 #13494)
#13492 := (iff #3220 #13491)
#13493 := [rewrite]: #13492
#13496 := [monotonicity #13493]: #13495
#13501 := [trans #13496 #13499]: #13500
#13486 := (iff #12429 #13485)
#13483 := (iff #12401 #13482)
#13480 := (iff #12396 #13477)
#13471 := (or #13454 #13468)
#13474 := (or #5601 #13471)
#13478 := (iff #13474 #13477)
#13479 := [rewrite]: #13478
#13475 := (iff #12396 #13474)
#13472 := (iff #12390 #13471)
#13469 := (iff #3216 #13468)
#13470 := [rewrite]: #13469
#13464 := (iff #12389 #13454)
#13456 := (not #13454)
#13459 := (not #13456)
#13462 := (iff #13459 #13454)
#13463 := [rewrite]: #13462
#13460 := (iff #12389 #13459)
#13457 := (iff #3215 #13456)
#13458 := [rewrite]: #13457
#13461 := [monotonicity #13458]: #13460
#13465 := [trans #13461 #13463]: #13464
#13473 := [monotonicity #13465 #13470]: #13472
#13476 := [monotonicity #5603 #13473]: #13475
#13481 := [trans #13476 #13479]: #13480
#13484 := [quant-intro #13481]: #13483
#13487 := [monotonicity #13484]: #13486
#13504 := [monotonicity #13487 #13501]: #13503
#13507 := [monotonicity #13484 #13504]: #13506
#13452 := (iff #12441 #13451)
#13449 := (iff #3214 #13446)
#13450 := [rewrite]: #13449
#13453 := [monotonicity #13450]: #13452
#13510 := [monotonicity #13453 #13507]: #13509
#13513 := [monotonicity #13450 #13510]: #13512
#13444 := (iff #12460 #13443)
#13441 := (iff #12386 #13440)
#13437 := (iff #3212 #13438)
#13439 := [rewrite]: #13437
#13420 := (iff #3202 #13421)
#13422 := [rewrite]: #13420
#13442 := [monotonicity #13422 #13439]: #13441
#13445 := [monotonicity #13442]: #13444
#13529 := [monotonicity #13445 #13513]: #13528
#13532 := [monotonicity #13529]: #13531
#13519 := (iff #12478 #13518)
#13516 := (iff #12383 #13514)
#13517 := [rewrite]: #13516
#13520 := [monotonicity #13517]: #13519
#13535 := [monotonicity #13520 #13532]: #13534
#13525 := (iff #12487 #13524)
#13522 := (iff #12380 #13521)
#13435 := (iff #12377 #13432)
#13436 := [rewrite]: #13435
#13429 := (iff #12374 #13430)
#13431 := [rewrite]: #13429
#13523 := [monotonicity #13431 #13436]: #13522
#13526 := [monotonicity #13523]: #13525
#13538 := [monotonicity #13526 #13535]: #13537
#13543 := [trans #13538 #13541]: #13542
#13546 := [monotonicity #13523 #13543]: #13545
#13551 := [trans #13546 #13549]: #13550
#13427 := (iff #12499 #13426)
#13424 := (iff #3203 #13423)
#13425 := [monotonicity #13413 #13422]: #13424
#13428 := [monotonicity #13425]: #13427
#13557 := [monotonicity #13428 #13551]: #13556
#13639 := [monotonicity #13557]: #13638
#13642 := [monotonicity #13639]: #13641
#13645 := [monotonicity #13419 #13642]: #13644
#13648 := [monotonicity #13419 #13645]: #13647
#13651 := [monotonicity #13419 #13648]: #13650
#13635 := (iff #12709 #13603)
#13633 := (iff #3257 #13604)
#13634 := [rewrite]: #13633
#13636 := [monotonicity #13634]: #13635
#13654 := [monotonicity #13636 #13651]: #13653
#13657 := [monotonicity #13419 #13654]: #13656
#13662 := [trans #13657 #13660]: #13661
#13631 := (iff #12632 #13628)
#13616 := (or #13417 #13598)
#13619 := (or #13417 #13616)
#13622 := (or #13604 #13619)
#13625 := (or #13417 #13622)
#13629 := (iff #13625 #13628)
#13630 := [rewrite]: #13629
#13626 := (iff #12632 #13625)
#13623 := (iff #12624 #13622)
#13620 := (iff #12615 #13619)
#13617 := (iff #12600 #13616)
#13601 := (iff #12594 #13598)
#13595 := (and #12351 #13592)
#13599 := (iff #13595 #13598)
#13600 := [rewrite]: #13599
#13596 := (iff #12594 #13595)
#13593 := (iff #12589 #13592)
#13590 := (iff #12582 #13587)
#13584 := (and #12357 #13579)
#13588 := (iff #13584 #13587)
#13589 := [rewrite]: #13588
#13585 := (iff #12582 #13584)
#13582 := (iff #12577 #13579)
#13558 := (or #12515 #13555)
#13561 := (or #12524 #13558)
#13564 := (or #13552 #13561)
#13567 := (or #12549 #13564)
#13570 := (or #12558 #13567)
#13573 := (or #12567 #13570)
#13576 := (or #12576 #13573)
#13580 := (iff #13576 #13579)
#13581 := [rewrite]: #13580
#13577 := (iff #12577 #13576)
#13574 := (iff #12568 #13573)
#13571 := (iff #12559 #13570)
#13568 := (iff #12550 #13567)
#13565 := (iff #12541 #13564)
#13562 := (iff #12525 #13561)
#13559 := (iff #12516 #13558)
#13560 := [monotonicity #13557]: #13559
#13563 := [monotonicity #13560]: #13562
#13553 := (iff #12540 #13552)
#13554 := [monotonicity #13413]: #13553
#13566 := [monotonicity #13554 #13563]: #13565
#13569 := [monotonicity #13566]: #13568
#13572 := [monotonicity #13569]: #13571
#13575 := [monotonicity #13572]: #13574
#13578 := [monotonicity #13575]: #13577
#13583 := [trans #13578 #13581]: #13582
#13586 := [monotonicity #13583]: #13585
#13591 := [trans #13586 #13589]: #13590
#13594 := [monotonicity #13591]: #13593
#13597 := [monotonicity #13594]: #13596
#13602 := [trans #13597 #13600]: #13601
#13618 := [monotonicity #13419 #13602]: #13617
#13621 := [monotonicity #13419 #13618]: #13620
#13614 := (iff #12623 #13604)
#13609 := (not #13603)
#13612 := (iff #13609 #13604)
#13613 := [rewrite]: #13612
#13610 := (iff #12623 #13609)
#13607 := (iff #3190 #13603)
#13608 := [rewrite]: #13607
#13611 := [monotonicity #13608]: #13610
#13615 := [trans #13611 #13613]: #13614
#13624 := [monotonicity #13615 #13621]: #13623
#13627 := [monotonicity #13419 #13624]: #13626
#13632 := [trans #13627 #13630]: #13631
#13665 := [monotonicity #13632 #13662]: #13664
#13668 := [monotonicity #13419 #13665]: #13667
#13671 := [monotonicity #13668]: #13670
#13676 := [trans #13671 #13674]: #13675
#13679 := [monotonicity #13676]: #13678
#13684 := [trans #13679 #13682]: #13683
#13687 := [monotonicity #13684]: #13686
#13690 := [monotonicity #13687]: #13689
#13695 := [trans #13690 #13693]: #13694
#13710 := [monotonicity #13419 #13695]: #13709
#13713 := [monotonicity #13419 #13710]: #13712
#13706 := (iff #12789 #13697)
#13701 := (not #13698)
#13704 := (iff #13701 #13697)
#13705 := [rewrite]: #13704
#13702 := (iff #12789 #13701)
#13699 := (iff #3179 #13698)
#13700 := [rewrite]: #13699
#13703 := [monotonicity #13700]: #13702
#13707 := [trans #13703 #13705]: #13706
#13716 := [monotonicity #13707 #13713]: #13715
#13719 := [monotonicity #13419 #13716]: #13718
#13724 := [trans #13719 #13722]: #13723
#13848 := [monotonicity #13724 #13845]: #13847
#13978 := [monotonicity #13419 #13848]: #13977
#13981 := [monotonicity #13978]: #13980
#13984 := [monotonicity #13981]: #13983
#13987 := [monotonicity #13984]: #13986
#13990 := [monotonicity #13987]: #13989
#13993 := [monotonicity #13990]: #13992
#13996 := [monotonicity #13993]: #13995
#13871 := (iff #12931 #13870)
#13868 := (iff #12312 #12306)
#13860 := (and true #12306)
#13863 := (and true #13860)
#13866 := (iff #13863 #12306)
#13867 := [rewrite]: #13866
#13864 := (iff #12312 #13863)
#13861 := (iff #12309 #13860)
#13856 := (iff #3160 true)
#13851 := (forall (vars (?x784 T5)) (:pat #3158) true)
#13854 := (iff #13851 true)
#13855 := [elim-unused]: #13854
#13852 := (iff #3160 #13851)
#13849 := (iff #3159 true)
#13850 := [rewrite]: #13849
#13853 := [quant-intro #13850]: #13852
#13857 := [trans #13853 #13855]: #13856
#13862 := [monotonicity #13857]: #13861
#13858 := (iff #3156 true)
#13859 := [rewrite]: #13858
#13865 := [monotonicity #13859 #13862]: #13864
#13869 := [trans #13865 #13867]: #13868
#13872 := [monotonicity #13869]: #13871
#13999 := [monotonicity #13872 #13996]: #13998
#14002 := [monotonicity #13872 #13999]: #14001
#14005 := [monotonicity #13419 #14002]: #14004
#14008 := [monotonicity #13419 #14005]: #14007
#14011 := [monotonicity #13419 #14008]: #14010
#14014 := [monotonicity #13419 #14011]: #14013
#13888 := (iff #13008 #13887)
#13885 := (iff #11995 #13882)
#13879 := (and #13876 #11992)
#13883 := (iff #13879 #13882)
#13884 := [rewrite]: #13883
#13880 := (iff #11995 #13879)
#13877 := (iff #3072 #13876)
#13878 := [rewrite]: #13877
#13881 := [monotonicity #13878]: #13880
#13886 := [trans #13881 #13884]: #13885
#13889 := [monotonicity #13886]: #13888
#14017 := [monotonicity #13889 #14014]: #14016
#13922 := (iff #13017 #13921)
#13919 := (iff #11989 #13918)
#13916 := (iff #11984 #13913)
#13907 := (or #13890 #13904)
#13910 := (or #5601 #13907)
#13914 := (iff #13910 #13913)
#13915 := [rewrite]: #13914
#13911 := (iff #11984 #13910)
#13908 := (iff #11978 #13907)
#13905 := (iff #3068 #13904)
#13906 := [rewrite]: #13905
#13900 := (iff #11977 #13890)
#13892 := (not #13890)
#13895 := (not #13892)
#13898 := (iff #13895 #13890)
#13899 := [rewrite]: #13898
#13896 := (iff #11977 #13895)
#13893 := (iff #3067 #13892)
#13894 := [rewrite]: #13893
#13897 := [monotonicity #13894]: #13896
#13901 := [trans #13897 #13899]: #13900
#13909 := [monotonicity #13901 #13906]: #13908
#13912 := [monotonicity #5603 #13909]: #13911
#13917 := [trans #13912 #13915]: #13916
#13920 := [quant-intro #13917]: #13919
#13923 := [monotonicity #13920]: #13922
#14020 := [monotonicity #13923 #14017]: #14019
#13928 := (iff #13026 #13927)
#13925 := (iff #3066 #13924)
#13926 := [rewrite]: #13925
#13929 := [monotonicity #13926]: #13928
#14023 := [monotonicity #13929 #14020]: #14022
#14026 := [monotonicity #13419 #14023]: #14025
#13940 := (iff #13043 #13939)
#13937 := (iff #3063 #13936)
#13934 := (iff #3062 #13933)
#13935 := [rewrite]: #13934
#13931 := (iff #3061 #13930)
#13932 := [rewrite]: #13931
#13938 := [monotonicity #13932 #13935]: #13937
#13941 := [monotonicity #13938]: #13940
#14029 := [monotonicity #13941 #14026]: #14028
#13950 := (iff #13052 #13949)
#13947 := (iff #3059 #13946)
#13944 := (iff #3058 #13942)
#13945 := [rewrite]: #13944
#13948 := [monotonicity #13410 #13945]: #13947
#13951 := [monotonicity #13948]: #13950
#14032 := [monotonicity #13951 #14029]: #14031
#13963 := (iff #13061 #13962)
#13960 := (iff #3055 #13959)
#13957 := (iff #3054 #13955)
#13958 := [rewrite]: #13957
#13953 := (iff #3053 #13952)
#13954 := [rewrite]: #13953
#13961 := [monotonicity #13954 #13958]: #13960
#13964 := [monotonicity #13961]: #13963
#14035 := [monotonicity #13964 #14032]: #14034
#13974 := (iff #13077 #13973)
#13971 := (iff #11971 #13968)
#13969 := (iff #13965 #13968)
#13970 := [rewrite]: #13969
#13966 := (iff #11971 #13965)
#13406 := (iff #2956 #13405)
#13407 := [rewrite]: #13406
#13967 := [monotonicity #13407]: #13966
#13972 := [trans #13967 #13970]: #13971
#13975 := [monotonicity #13972]: #13974
#14038 := [monotonicity #13975 #14035]: #14037
#14043 := [trans #14038 #14041]: #14042
#14046 := [monotonicity #13967 #14043]: #14045
#14051 := [trans #14046 #14049]: #14050
#13402 := (iff #13089 #13401)
#13399 := (iff #11966 #13398)
#13396 := (iff #11961 #13393)
#13387 := (or #13371 #13383)
#13390 := (or #5601 #13387)
#13394 := (iff #13390 #13393)
#13395 := [rewrite]: #13394
#13391 := (iff #11961 #13390)
#13388 := (iff #11955 #13387)
#13382 := (iff #3046 #13383)
#13386 := [rewrite]: #13382
#13380 := (iff #11954 #13371)
#13372 := (not #13371)
#13375 := (not #13372)
#13378 := (iff #13375 #13371)
#13379 := [rewrite]: #13378
#13376 := (iff #11954 #13375)
#13373 := (iff #3043 #13372)
#13374 := [rewrite]: #13373
#13377 := [monotonicity #13374]: #13376
#13381 := [trans #13377 #13379]: #13380
#13389 := [monotonicity #13381 #13386]: #13388
#13392 := [monotonicity #5603 #13389]: #13391
#13397 := [trans #13392 #13395]: #13396
#13400 := [quant-intro #13397]: #13399
#13403 := [monotonicity #13400]: #13402
#14054 := [monotonicity #13403 #14051]: #14053
#14057 := [monotonicity #13400 #14054]: #14056
#13369 := (iff #13101 #13368)
#13366 := (iff #3042 #13365)
#13367 := [rewrite]: #13366
#13370 := [monotonicity #13367]: #13369
#14060 := [monotonicity #13370 #14057]: #14059
#14063 := [monotonicity #13367 #14060]: #14062
#13363 := (iff #13113 false)
#11998 := (iff #3077 false)
#11999 := [rewrite]: #11998
#13361 := (iff #13113 #3077)
#13359 := (iff #11951 true)
#12338 := (and true true)
#13354 := (and true #12338)
#13357 := (iff #13354 true)
#13358 := [rewrite]: #13357
#13355 := (iff #11951 #13354)
#13352 := (iff #11948 #12338)
#13350 := (iff #3038 true)
#13351 := [rewrite]: #13350
#13348 := (iff #3037 true)
#13349 := [rewrite]: #13348
#13353 := [monotonicity #13349 #13351]: #13352
#13356 := [monotonicity #13349 #13353]: #13355
#13360 := [trans #13356 #13358]: #13359
#13362 := [monotonicity #13360]: #13361
#13364 := [trans #13362 #11999]: #13363
#14066 := [monotonicity #13364 #14063]: #14065
#14069 := [monotonicity #14066]: #14068
#14072 := [monotonicity #14069]: #14071
#14075 := [monotonicity #14072]: #14074
#14078 := [monotonicity #14075]: #14077
#14081 := [monotonicity #14078]: #14080
#14086 := [trans #14081 #14084]: #14085
#14089 := [monotonicity #14086]: #14088
#14094 := [trans #14089 #14092]: #14093
#14097 := [monotonicity #14094]: #14096
#14100 := [monotonicity #14097]: #14099
#14105 := [trans #14100 #14103]: #14104
#14108 := [monotonicity #14105]: #14107
#14111 := [monotonicity #14108]: #14110
#13346 := (iff #13194 #13345)
#13343 := (iff #3012 #13342)
#13340 := (iff #3011 #13337)
#13341 := [rewrite]: #13340
#13334 := (iff #3010 #13335)
#13336 := [rewrite]: #13334
#13344 := [monotonicity #13336 #13341]: #13343
#13347 := [monotonicity #13344]: #13346
#14192 := [monotonicity #13347 #14111]: #14191
#14195 := [monotonicity #14192]: #14194
#14198 := [monotonicity #14195]: #14197
#14201 := [monotonicity #14198]: #14200
#14204 := [monotonicity #14201]: #14203
#14122 := (iff #13239 #14121)
#14119 := (iff #2994 #14118)
#14116 := (iff #2993 #14112)
#14117 := [rewrite]: #14116
#14120 := [quant-intro #14117]: #14119
#14123 := [monotonicity #14120]: #14122
#14207 := [monotonicity #14123 #14204]: #14206
#14210 := [monotonicity #14207]: #14209
#14213 := [monotonicity #14210]: #14212
#14128 := (iff #13273 #14127)
#14125 := (iff #11899 #14124)
#14126 := [rewrite]: #14125
#14129 := [monotonicity #14126]: #14128
#14216 := [monotonicity #14129 #14213]: #14215
#14135 := (iff #13282 #13404)
#14130 := (not #13405)
#14133 := (iff #14130 #13404)
#14134 := [rewrite]: #14133
#14131 := (iff #13282 #14130)
#14132 := [monotonicity #13407]: #14131
#14136 := [trans #14132 #14134]: #14135
#14219 := [monotonicity #14136 #14216]: #14218
#14146 := (iff #13291 #14137)
#14138 := (not #14137)
#14141 := (not #14138)
#14144 := (iff #14141 #14137)
#14145 := [rewrite]: #14144
#14142 := (iff #13291 #14141)
#14139 := (iff #2955 #14138)
#14140 := [rewrite]: #14139
#14143 := [monotonicity #14140]: #14142
#14147 := [trans #14143 #14145]: #14146
#14222 := [monotonicity #14147 #14219]: #14221
#14160 := (iff #13300 #14159)
#14157 := (iff #2953 #14156)
#14154 := (iff #2952 #14151)
#14155 := [rewrite]: #14154
#14148 := (iff #2951 #14149)
#14150 := [rewrite]: #14148
#14158 := [monotonicity #14150 #14155]: #14157
#14161 := [monotonicity #14158]: #14160
#14225 := [monotonicity #14161 #14222]: #14224
#14174 := (iff #13309 #14173)
#14171 := (iff #2949 #14170)
#14168 := (iff #2948 #14165)
#14169 := [rewrite]: #14168
#14162 := (iff #2947 #14163)
#14164 := [rewrite]: #14162
#14172 := [monotonicity #14164 #14169]: #14171
#14175 := [monotonicity #14172]: #14174
#14228 := [monotonicity #14175 #14225]: #14227
#14188 := (iff #13318 #14187)
#14185 := (iff #2945 #14184)
#14182 := (iff #2944 #14179)
#14183 := [rewrite]: #14182
#14176 := (iff #2943 #14177)
#14178 := [rewrite]: #14176
#14186 := [monotonicity #14178 #14183]: #14185
#14189 := [monotonicity #14186]: #14188
#14231 := [monotonicity #14189 #14228]: #14230
#14236 := [trans #14231 #14234]: #14235
#14239 := [monotonicity #14236]: #14238
#13332 := (iff #3349 #13331)
#13329 := (iff #3348 #13319)
#13324 := (implies true #13319)
#13327 := (iff #13324 #13319)
#13328 := [rewrite]: #13327
#13325 := (iff #3348 #13324)
#13322 := (iff #3347 #13319)
#13315 := (implies #2945 #13310)
#13320 := (iff #13315 #13319)
#13321 := [rewrite]: #13320
#13316 := (iff #3347 #13315)
#13313 := (iff #3346 #13310)
#13306 := (implies #2949 #13301)
#13311 := (iff #13306 #13310)
#13312 := [rewrite]: #13311
#13307 := (iff #3346 #13306)
#13304 := (iff #3345 #13301)
#13297 := (implies #2953 #13292)
#13302 := (iff #13297 #13301)
#13303 := [rewrite]: #13302
#13298 := (iff #3345 #13297)
#13295 := (iff #3344 #13292)
#13288 := (implies #2955 #13283)
#13293 := (iff #13288 #13292)
#13294 := [rewrite]: #13293
#13289 := (iff #3344 #13288)
#13286 := (iff #3343 #13283)
#13279 := (implies #2956 #13274)
#13284 := (iff #13279 #13283)
#13285 := [rewrite]: #13284
#13280 := (iff #3343 #13279)
#13277 := (iff #3342 #13274)
#13270 := (implies #11899 #13258)
#13275 := (iff #13270 #13274)
#13276 := [rewrite]: #13275
#13271 := (iff #3342 #13270)
#13268 := (iff #3341 #13258)
#13263 := (implies true #13258)
#13266 := (iff #13263 #13258)
#13267 := [rewrite]: #13266
#13264 := (iff #3341 #13263)
#13261 := (iff #3340 #13258)
#13254 := (implies #11902 #13249)
#13259 := (iff #13254 #13258)
#13260 := [rewrite]: #13259
#13255 := (iff #3340 #13254)
#13252 := (iff #3339 #13249)
#13245 := (implies #11911 #13240)
#13250 := (iff #13245 #13249)
#13251 := [rewrite]: #13250
#13246 := (iff #3339 #13245)
#13243 := (iff #3338 #13240)
#13236 := (implies #2994 #13231)
#13241 := (iff #13236 #13240)
#13242 := [rewrite]: #13241
#13237 := (iff #3338 #13236)
#13234 := (iff #3337 #13231)
#13227 := (implies #2999 #13222)
#13232 := (iff #13227 #13231)
#13233 := [rewrite]: #13232
#13228 := (iff #3337 #13227)
#13225 := (iff #3336 #13222)
#13218 := (implies #3001 #13213)
#13223 := (iff #13218 #13222)
#13224 := [rewrite]: #13223
#13219 := (iff #3336 #13218)
#13216 := (iff #3335 #13213)
#13209 := (implies #3004 #13204)
#13214 := (iff #13209 #13213)
#13215 := [rewrite]: #13214
#13210 := (iff #3335 #13209)
#13207 := (iff #3334 #13204)
#13200 := (implies #11925 #13195)
#13205 := (iff #13200 #13204)
#13206 := [rewrite]: #13205
#13201 := (iff #3334 #13200)
#13198 := (iff #3333 #13195)
#13191 := (implies #3012 #13188)
#13196 := (iff #13191 #13195)
#13197 := [rewrite]: #13196
#13192 := (iff #3333 #13191)
#13189 := (iff #3332 #13188)
#13186 := (iff #3331 #13183)
#13179 := (implies #11928 #13176)
#13184 := (iff #13179 #13183)
#13185 := [rewrite]: #13184
#13180 := (iff #3331 #13179)
#13177 := (iff #3330 #13176)
#13174 := (iff #3329 #13171)
#13167 := (implies #11937 #13164)
#13172 := (iff #13167 #13171)
#13173 := [rewrite]: #13172
#13168 := (iff #3329 #13167)
#13165 := (iff #3328 #13164)
#13162 := (iff #3327 #13159)
#13155 := (implies #11943 #13150)
#13160 := (iff #13155 #13159)
#13161 := [rewrite]: #13160
#13156 := (iff #3327 #13155)
#13153 := (iff #3326 #13150)
#13146 := (implies #3027 #13141)
#13151 := (iff #13146 #13150)
#13152 := [rewrite]: #13151
#13147 := (iff #3326 #13146)
#13144 := (iff #3325 #13141)
#13137 := (implies #3030 #13132)
#13142 := (iff #13137 #13141)
#13143 := [rewrite]: #13142
#13138 := (iff #3325 #13137)
#13135 := (iff #3324 #13132)
#13128 := (implies #3033 #13123)
#13133 := (iff #13128 #13132)
#13134 := [rewrite]: #13133
#13129 := (iff #3324 #13128)
#13126 := (iff #3323 #13123)
#13119 := (implies #3036 #13114)
#13124 := (iff #13119 #13123)
#13125 := [rewrite]: #13124
#13120 := (iff #3323 #13119)
#13117 := (iff #3322 #13114)
#13110 := (implies #11951 #13107)
#13115 := (iff #13110 #13114)
#13116 := [rewrite]: #13115
#13111 := (iff #3322 #13110)
#13108 := (iff #3321 #13107)
#13105 := (iff #3320 #13102)
#13098 := (implies #3042 #13095)
#13103 := (iff #13098 #13102)
#13104 := [rewrite]: #13103
#13099 := (iff #3320 #13098)
#13096 := (iff #3319 #13095)
#13093 := (iff #3318 #13090)
#13086 := (implies #11966 #13083)
#13091 := (iff #13086 #13090)
#13092 := [rewrite]: #13091
#13087 := (iff #3318 #13086)
#13084 := (iff #3317 #13083)
#13081 := (iff #3316 #13078)
#13074 := (implies #11971 #13062)
#13079 := (iff #13074 #13078)
#13080 := [rewrite]: #13079
#13075 := (iff #3316 #13074)
#13072 := (iff #3315 #13062)
#13067 := (implies true #13062)
#13070 := (iff #13067 #13062)
#13071 := [rewrite]: #13070
#13068 := (iff #3315 #13067)
#13065 := (iff #3314 #13062)
#13058 := (implies #3055 #13053)
#13063 := (iff #13058 #13062)
#13064 := [rewrite]: #13063
#13059 := (iff #3314 #13058)
#13056 := (iff #3313 #13053)
#13049 := (implies #3059 #13044)
#13054 := (iff #13049 #13053)
#13055 := [rewrite]: #13054
#13050 := (iff #3313 #13049)
#13047 := (iff #3312 #13044)
#13040 := (implies #3063 #13035)
#13045 := (iff #13040 #13044)
#13046 := [rewrite]: #13045
#13041 := (iff #3312 #13040)
#13038 := (iff #3311 #13035)
#13032 := (implies #11974 #13027)
#13036 := (iff #13032 #13035)
#13037 := [rewrite]: #13036
#13033 := (iff #3311 #13032)
#13030 := (iff #3310 #13027)
#13023 := (implies #3066 #13018)
#13028 := (iff #13023 #13027)
#13029 := [rewrite]: #13028
#13024 := (iff #3310 #13023)
#13021 := (iff #3309 #13018)
#13014 := (implies #11989 #13009)
#13019 := (iff #13014 #13018)
#13020 := [rewrite]: #13019
#13015 := (iff #3309 #13014)
#13012 := (iff #3308 #13009)
#13005 := (implies #11995 #13000)
#13010 := (iff #13005 #13009)
#13011 := [rewrite]: #13010
#13006 := (iff #3308 #13005)
#13003 := (iff #3307 #13000)
#12997 := (implies #11974 #12978)
#13001 := (iff #12997 #13000)
#13002 := [rewrite]: #13001
#12998 := (iff #3307 #12997)
#12995 := (iff #3306 #12978)
#12990 := (and true #12978)
#12993 := (iff #12990 #12978)
#12994 := [rewrite]: #12993
#12991 := (iff #3306 #12990)
#12988 := (iff #3305 #12978)
#12983 := (implies true #12978)
#12986 := (iff #12983 #12978)
#12987 := [rewrite]: #12986
#12984 := (iff #3305 #12983)
#12981 := (iff #3304 #12978)
#12975 := (implies #11974 #12963)
#12979 := (iff #12975 #12978)
#12980 := [rewrite]: #12979
#12976 := (iff #3304 #12975)
#12973 := (iff #3303 #12963)
#12968 := (implies true #12963)
#12971 := (iff #12968 #12963)
#12972 := [rewrite]: #12971
#12969 := (iff #3303 #12968)
#12966 := (iff #3302 #12963)
#12960 := (implies #11974 #12948)
#12964 := (iff #12960 #12963)
#12965 := [rewrite]: #12964
#12961 := (iff #3302 #12960)
#12958 := (iff #3301 #12948)
#12953 := (implies true #12948)
#12956 := (iff #12953 #12948)
#12957 := [rewrite]: #12956
#12954 := (iff #3301 #12953)
#12951 := (iff #3300 #12948)
#12945 := (implies #11974 #12940)
#12949 := (iff #12945 #12948)
#12950 := [rewrite]: #12949
#12946 := (iff #3300 #12945)
#12943 := (iff #3299 #12940)
#12937 := (implies #12312 #12932)
#12941 := (iff #12937 #12940)
#12942 := [rewrite]: #12941
#12938 := (iff #3299 #12937)
#12935 := (iff #3298 #12932)
#12928 := (implies #12312 #12923)
#12933 := (iff #12928 #12932)
#12934 := [rewrite]: #12933
#12929 := (iff #3298 #12928)
#12926 := (iff #3297 #12923)
#12920 := (implies #12006 #12915)
#12924 := (iff #12920 #12923)
#12925 := [rewrite]: #12924
#12921 := (iff #3297 #12920)
#12918 := (iff #3296 #12915)
#12911 := (implies #3169 #12906)
#12916 := (iff #12911 #12915)
#12917 := [rewrite]: #12916
#12912 := (iff #3296 #12911)
#12909 := (iff #3295 #12906)
#12902 := (implies #3170 #12897)
#12907 := (iff #12902 #12906)
#12908 := [rewrite]: #12907
#12903 := (iff #3295 #12902)
#12900 := (iff #3294 #12897)
#12893 := (implies #3171 #12888)
#12898 := (iff #12893 #12897)
#12899 := [rewrite]: #12898
#12894 := (iff #3294 #12893)
#12891 := (iff #3293 #12888)
#12884 := (implies #3172 #12879)
#12889 := (iff #12884 #12888)
#12890 := [rewrite]: #12889
#12885 := (iff #3293 #12884)
#12882 := (iff #3292 #12879)
#12875 := (implies #3175 #12863)
#12880 := (iff #12875 #12879)
#12881 := [rewrite]: #12880
#12876 := (iff #3292 #12875)
#12873 := (iff #3291 #12863)
#12868 := (implies true #12863)
#12871 := (iff #12868 #12863)
#12872 := [rewrite]: #12871
#12869 := (iff #3291 #12868)
#12866 := (iff #3290 #12863)
#12860 := (implies #11974 #12857)
#12864 := (iff #12860 #12863)
#12865 := [rewrite]: #12864
#12861 := (iff #3290 #12860)
#12858 := (iff #3289 #12857)
#12855 := (iff #3288 #12845)
#12850 := (implies true #12845)
#12853 := (iff #12850 #12845)
#12854 := [rewrite]: #12853
#12851 := (iff #3288 #12850)
#12848 := (iff #3287 #12845)
#12842 := (implies #11974 #12837)
#12846 := (iff #12842 #12845)
#12847 := [rewrite]: #12846
#12843 := (iff #3287 #12842)
#12840 := (iff #3286 #12837)
#12833 := (implies #3282 #12828)
#12838 := (iff #12833 #12837)
#12839 := [rewrite]: #12838
#12834 := (iff #3286 #12833)
#12831 := (iff #3285 #12828)
#12825 := (implies #11974 #12813)
#12829 := (iff #12825 #12828)
#12830 := [rewrite]: #12829
#12826 := (iff #3285 #12825)
#12823 := (iff #3284 #12813)
#12818 := (implies true #12813)
#12821 := (iff #12818 #12813)
#12822 := [rewrite]: #12821
#12819 := (iff #3284 #12818)
#12816 := (iff #3283 #12813)
#12810 := (implies #11974 #12171)
#12814 := (iff #12810 #12813)
#12815 := [rewrite]: #12814
#12811 := (iff #3283 #12810)
#12174 := (iff #3118 #12171)
#12168 := (implies #11974 #12156)
#12172 := (iff #12168 #12171)
#12173 := [rewrite]: #12172
#12169 := (iff #3118 #12168)
#12166 := (iff #3117 #12156)
#12161 := (implies true #12156)
#12164 := (iff #12161 #12156)
#12165 := [rewrite]: #12164
#12162 := (iff #3117 #12161)
#12159 := (iff #3116 #12156)
#12153 := (implies #11974 #12150)
#12157 := (iff #12153 #12156)
#12158 := [rewrite]: #12157
#12154 := (iff #3116 #12153)
#12151 := (iff #3115 #12150)
#12148 := (iff #3114 #12145)
#12141 := (implies up_216 #12136)
#12146 := (iff #12141 #12145)
#12147 := [rewrite]: #12146
#12142 := (iff #3114 #12141)
#12139 := (iff #3113 #12136)
#12133 := (implies #11974 #12121)
#12137 := (iff #12133 #12136)
#12138 := [rewrite]: #12137
#12134 := (iff #3113 #12133)
#12131 := (iff #3112 #12121)
#12126 := (implies true #12121)
#12129 := (iff #12126 #12121)
#12130 := [rewrite]: #12129
#12127 := (iff #3112 #12126)
#12124 := (iff #3111 #12121)
#12118 := (implies #11974 #12113)
#12122 := (iff #12118 #12121)
#12123 := [rewrite]: #12122
#12119 := (iff #3111 #12118)
#12116 := (iff #3110 #12113)
#12109 := (implies #11974 #12097)
#12114 := (iff #12109 #12113)
#12115 := [rewrite]: #12114
#12110 := (iff #3110 #12109)
#12107 := (iff #3109 #12097)
#12102 := (implies true #12097)
#12105 := (iff #12102 #12097)
#12106 := [rewrite]: #12105
#12103 := (iff #3109 #12102)
#12100 := (iff #3108 #12097)
#12093 := (implies #12011 #12088)
#12098 := (iff #12093 #12097)
#12099 := [rewrite]: #12098
#12094 := (iff #3108 #12093)
#12091 := (iff #3107 #12088)
#12084 := (implies #12014 #12079)
#12089 := (iff #12084 #12088)
#12090 := [rewrite]: #12089
#12085 := (iff #3107 #12084)
#12082 := (iff #3106 #12079)
#12075 := (implies #12017 #12070)
#12080 := (iff #12075 #12079)
#12081 := [rewrite]: #12080
#12076 := (iff #3106 #12075)
#12073 := (iff #3105 #12070)
#12066 := (implies #12020 #12056)
#12071 := (iff #12066 #12070)
#12072 := [rewrite]: #12071
#12067 := (iff #3105 #12066)
#12064 := (iff #3104 #12056)
#12059 := (implies true #12056)
#12062 := (iff #12059 #12056)
#12063 := [rewrite]: #12062
#12060 := (iff #3104 #12059)
#12057 := (iff #3103 #12056)
#12054 := (iff #3102 #12051)
#12047 := (implies #12035 #3099)
#12052 := (iff #12047 #12051)
#12053 := [rewrite]: #12052
#12048 := (iff #3102 #12047)
#12045 := (iff #3101 #3099)
#12040 := (and #3099 true)
#12043 := (iff #12040 #3099)
#12044 := [rewrite]: #12043
#12041 := (iff #3101 #12040)
#12038 := (iff #3100 true)
#12039 := [rewrite]: #12038
#12042 := [monotonicity #12039]: #12041
#12046 := [trans #12042 #12044]: #12045
#12036 := (iff #3094 #12035)
#12033 := (iff #3093 #12030)
#12027 := (implies #412 #12024)
#12031 := (iff #12027 #12030)
#12032 := [rewrite]: #12031
#12028 := (iff #3093 #12027)
#12025 := (iff #3092 #12024)
#12026 := [rewrite]: #12025
#12029 := [monotonicity #12026]: #12028
#12034 := [trans #12029 #12032]: #12033
#12037 := [quant-intro #12034]: #12036
#12049 := [monotonicity #12037 #12046]: #12048
#12055 := [trans #12049 #12053]: #12054
#12058 := [monotonicity #12037 #12055]: #12057
#12061 := [monotonicity #12058]: #12060
#12065 := [trans #12061 #12063]: #12064
#12021 := (iff #3089 #12020)
#12022 := [rewrite]: #12021
#12068 := [monotonicity #12022 #12065]: #12067
#12074 := [trans #12068 #12072]: #12073
#12018 := (iff #3087 #12017)
#12019 := [rewrite]: #12018
#12077 := [monotonicity #12019 #12074]: #12076
#12083 := [trans #12077 #12081]: #12082
#12015 := (iff #3085 #12014)
#12016 := [rewrite]: #12015
#12086 := [monotonicity #12016 #12083]: #12085
#12092 := [trans #12086 #12090]: #12091
#12012 := (iff #3083 #12011)
#12013 := [rewrite]: #12012
#12095 := [monotonicity #12013 #12092]: #12094
#12101 := [trans #12095 #12099]: #12100
#12104 := [monotonicity #12101]: #12103
#12108 := [trans #12104 #12106]: #12107
#11975 := (iff #3065 #11974)
#11976 := [rewrite]: #11975
#12111 := [monotonicity #11976 #12108]: #12110
#12117 := [trans #12111 #12115]: #12116
#12120 := [monotonicity #11976 #12117]: #12119
#12125 := [trans #12120 #12123]: #12124
#12128 := [monotonicity #12125]: #12127
#12132 := [trans #12128 #12130]: #12131
#12135 := [monotonicity #11976 #12132]: #12134
#12140 := [trans #12135 #12138]: #12139
#12143 := [monotonicity #12140]: #12142
#12149 := [trans #12143 #12147]: #12148
#12152 := [monotonicity #12149]: #12151
#12155 := [monotonicity #11976 #12152]: #12154
#12160 := [trans #12155 #12158]: #12159
#12163 := [monotonicity #12160]: #12162
#12167 := [trans #12163 #12165]: #12166
#12170 := [monotonicity #11976 #12167]: #12169
#12175 := [trans #12170 #12173]: #12174
#12812 := [monotonicity #11976 #12175]: #12811
#12817 := [trans #12812 #12815]: #12816
#12820 := [monotonicity #12817]: #12819
#12824 := [trans #12820 #12822]: #12823
#12827 := [monotonicity #11976 #12824]: #12826
#12832 := [trans #12827 #12830]: #12831
#12835 := [monotonicity #12832]: #12834
#12841 := [trans #12835 #12839]: #12840
#12844 := [monotonicity #11976 #12841]: #12843
#12849 := [trans #12844 #12847]: #12848
#12852 := [monotonicity #12849]: #12851
#12856 := [trans #12852 #12854]: #12855
#12808 := (iff #3281 #12798)
#12803 := (implies true #12798)
#12806 := (iff #12803 #12798)
#12807 := [rewrite]: #12806
#12804 := (iff #3281 #12803)
#12801 := (iff #3280 #12798)
#12795 := (implies #11974 #12790)
#12799 := (iff #12795 #12798)
#12800 := [rewrite]: #12799
#12796 := (iff #3280 #12795)
#12793 := (iff #3279 #12790)
#12786 := (implies #3179 #12781)
#12791 := (iff #12786 #12790)
#12792 := [rewrite]: #12791
#12787 := (iff #3279 #12786)
#12784 := (iff #3278 #12781)
#12778 := (implies #11974 #12766)
#12782 := (iff #12778 #12781)
#12783 := [rewrite]: #12782
#12779 := (iff #3278 #12778)
#12776 := (iff #3277 #12766)
#12771 := (implies true #12766)
#12774 := (iff #12771 #12766)
#12775 := [rewrite]: #12774
#12772 := (iff #3277 #12771)
#12769 := (iff #3276 #12766)
#12763 := (implies #11974 #12760)
#12767 := (iff #12763 #12766)
#12768 := [rewrite]: #12767
#12764 := (iff #3276 #12763)
#12761 := (iff #3275 #12760)
#12758 := (iff #3274 #12755)
#12752 := (implies #12351 #12749)
#12756 := (iff #12752 #12755)
#12757 := [rewrite]: #12756
#12753 := (iff #3274 #12752)
#12750 := (iff #3273 #12749)
#12747 := (iff #3272 #12744)
#12741 := (implies #12357 #12736)
#12745 := (iff #12741 #12744)
#12746 := [rewrite]: #12745
#12742 := (iff #3272 #12741)
#12739 := (iff #3271 #12736)
#12733 := (implies #11974 #12730)
#12737 := (iff #12733 #12736)
#12738 := [rewrite]: #12737
#12734 := (iff #3271 #12733)
#12731 := (iff #3270 #12730)
#12728 := (iff #3269 #12718)
#12723 := (implies true #12718)
#12726 := (iff #12723 #12718)
#12727 := [rewrite]: #12726
#12724 := (iff #3269 #12723)
#12721 := (iff #3268 #12718)
#12715 := (implies #11974 #12710)
#12719 := (iff #12715 #12718)
#12720 := [rewrite]: #12719
#12716 := (iff #3268 #12715)
#12713 := (iff #3267 #12710)
#12706 := (implies #3257 #12701)
#12711 := (iff #12706 #12710)
#12712 := [rewrite]: #12711
#12707 := (iff #3267 #12706)
#12704 := (iff #3266 #12701)
#12698 := (implies #11974 #12686)
#12702 := (iff #12698 #12701)
#12703 := [rewrite]: #12702
#12699 := (iff #3266 #12698)
#12696 := (iff #3265 #12686)
#12691 := (implies true #12686)
#12694 := (iff #12691 #12686)
#12695 := [rewrite]: #12694
#12692 := (iff #3265 #12691)
#12689 := (iff #3264 #12686)
#12683 := (implies #11974 #12678)
#12687 := (iff #12683 #12686)
#12688 := [rewrite]: #12687
#12684 := (iff #3264 #12683)
#12681 := (iff #3263 #12678)
#12675 := (implies #11974 #12663)
#12679 := (iff #12675 #12678)
#12680 := [rewrite]: #12679
#12676 := (iff #3263 #12675)
#12673 := (iff #3262 #12663)
#12668 := (implies true #12663)
#12671 := (iff #12668 #12663)
#12672 := [rewrite]: #12671
#12669 := (iff #3262 #12668)
#12666 := (iff #3261 #12663)
#12659 := (implies #12644 #12654)
#12664 := (iff #12659 #12663)
#12665 := [rewrite]: #12664
#12660 := (iff #3261 #12659)
#12657 := (iff #3260 #12654)
#12650 := (implies #12647 #12500)
#12655 := (iff #12650 #12654)
#12656 := [rewrite]: #12655
#12651 := (iff #3260 #12650)
#12510 := (iff #3239 #12500)
#12505 := (implies true #12500)
#12508 := (iff #12505 #12500)
#12509 := [rewrite]: #12508
#12506 := (iff #3239 #12505)
#12503 := (iff #3238 #12500)
#12496 := (implies #3203 #12493)
#12501 := (iff #12496 #12500)
#12502 := [rewrite]: #12501
#12497 := (iff #3238 #12496)
#12494 := (iff #3237 #12493)
#12491 := (iff #3236 #12488)
#12484 := (implies #12380 #12479)
#12489 := (iff #12484 #12488)
#12490 := [rewrite]: #12489
#12485 := (iff #3236 #12484)
#12482 := (iff #3235 #12479)
#12475 := (implies #12383 #12470)
#12480 := (iff #12475 #12479)
#12481 := [rewrite]: #12480
#12476 := (iff #3235 #12475)
#12473 := (iff #3234 #12470)
#12466 := (implies #3211 #12461)
#12471 := (iff #12466 #12470)
#12472 := [rewrite]: #12471
#12467 := (iff #3234 #12466)
#12464 := (iff #3233 #12461)
#12457 := (implies #12386 #12447)
#12462 := (iff #12457 #12461)
#12463 := [rewrite]: #12462
#12458 := (iff #3233 #12457)
#12455 := (iff #3232 #12447)
#12450 := (implies true #12447)
#12453 := (iff #12450 #12447)
#12454 := [rewrite]: #12453
#12451 := (iff #3232 #12450)
#12448 := (iff #3231 #12447)
#12445 := (iff #3230 #12442)
#12438 := (implies #3214 #12435)
#12443 := (iff #12438 #12442)
#12444 := [rewrite]: #12443
#12439 := (iff #3230 #12438)
#12436 := (iff #3229 #12435)
#12433 := (iff #3228 #12430)
#12426 := (implies #12401 #12407)
#12431 := (iff #12426 #12430)
#12432 := [rewrite]: #12431
#12427 := (iff #3228 #12426)
#12424 := (iff #3227 #12407)
#12419 := (and #12407 true)
#12422 := (iff #12419 #12407)
#12423 := [rewrite]: #12422
#12420 := (iff #3227 #12419)
#12417 := (iff #3226 true)
#12412 := (implies #12407 true)
#12415 := (iff #12412 true)
#12416 := [rewrite]: #12415
#12413 := (iff #3226 #12412)
#12410 := (iff #3225 true)
#12411 := [rewrite]: #12410
#12408 := (iff #3224 #12407)
#12405 := (iff #3223 #12404)
#12406 := [rewrite]: #12405
#12409 := [monotonicity #12406]: #12408
#12414 := [monotonicity #12409 #12411]: #12413
#12418 := [trans #12414 #12416]: #12417
#12421 := [monotonicity #12409 #12418]: #12420
#12425 := [trans #12421 #12423]: #12424
#12402 := (iff #3219 #12401)
#12399 := (iff #3218 #12396)
#12393 := (implies #412 #12390)
#12397 := (iff #12393 #12396)
#12398 := [rewrite]: #12397
#12394 := (iff #3218 #12393)
#12391 := (iff #3217 #12390)
#12392 := [rewrite]: #12391
#12395 := [monotonicity #12392]: #12394
#12400 := [trans #12395 #12398]: #12399
#12403 := [quant-intro #12400]: #12402
#12428 := [monotonicity #12403 #12425]: #12427
#12434 := [trans #12428 #12432]: #12433
#12437 := [monotonicity #12403 #12434]: #12436
#12440 := [monotonicity #12437]: #12439
#12446 := [trans #12440 #12444]: #12445
#12449 := [monotonicity #12446]: #12448
#12452 := [monotonicity #12449]: #12451
#12456 := [trans #12452 #12454]: #12455
#12387 := (iff #3213 #12386)
#12388 := [rewrite]: #12387
#12459 := [monotonicity #12388 #12456]: #12458
#12465 := [trans #12459 #12463]: #12464
#12468 := [monotonicity #12465]: #12467
#12474 := [trans #12468 #12472]: #12473
#12384 := (iff #3209 #12383)
#12372 := (= #3204 #12371)
#12373 := [rewrite]: #12372
#12385 := [monotonicity #12373]: #12384
#12477 := [monotonicity #12385 #12474]: #12476
#12483 := [trans #12477 #12481]: #12482
#12381 := (iff #3207 #12380)
#12378 := (iff #3206 #12377)
#12379 := [monotonicity #12373]: #12378
#12375 := (iff #3205 #12374)
#12376 := [monotonicity #12373]: #12375
#12382 := [monotonicity #12376 #12379]: #12381
#12486 := [monotonicity #12382 #12483]: #12485
#12492 := [trans #12486 #12490]: #12491
#12495 := [monotonicity #12382 #12492]: #12494
#12498 := [monotonicity #12495]: #12497
#12504 := [trans #12498 #12502]: #12503
#12507 := [monotonicity #12504]: #12506
#12511 := [trans #12507 #12509]: #12510
#12648 := (iff #3259 #12647)
#12649 := [rewrite]: #12648
#12652 := [monotonicity #12649 #12511]: #12651
#12658 := [trans #12652 #12656]: #12657
#12645 := (iff #3258 #12644)
#12646 := [rewrite]: #12645
#12661 := [monotonicity #12646 #12658]: #12660
#12667 := [trans #12661 #12665]: #12666
#12670 := [monotonicity #12667]: #12669
#12674 := [trans #12670 #12672]: #12673
#12677 := [monotonicity #11976 #12674]: #12676
#12682 := [trans #12677 #12680]: #12681
#12685 := [monotonicity #11976 #12682]: #12684
#12690 := [trans #12685 #12688]: #12689
#12693 := [monotonicity #12690]: #12692
#12697 := [trans #12693 #12695]: #12696
#12700 := [monotonicity #11976 #12697]: #12699
#12705 := [trans #12700 #12703]: #12704
#12708 := [monotonicity #12705]: #12707
#12714 := [trans #12708 #12712]: #12713
#12717 := [monotonicity #11976 #12714]: #12716
#12722 := [trans #12717 #12720]: #12721
#12725 := [monotonicity #12722]: #12724
#12729 := [trans #12725 #12727]: #12728
#12642 := (iff #3256 #12632)
#12637 := (implies true #12632)
#12640 := (iff #12637 #12632)
#12641 := [rewrite]: #12640
#12638 := (iff #3256 #12637)
#12635 := (iff #3255 #12632)
#12629 := (implies #11974 #12624)
#12633 := (iff #12629 #12632)
#12634 := [rewrite]: #12633
#12630 := (iff #3255 #12629)
#12627 := (iff #3254 #12624)
#12620 := (implies #3190 #12615)
#12625 := (iff #12620 #12624)
#12626 := [rewrite]: #12625
#12621 := (iff #3254 #12620)
#12618 := (iff #3253 #12615)
#12612 := (implies #11974 #12600)
#12616 := (iff #12612 #12615)
#12617 := [rewrite]: #12616
#12613 := (iff #3253 #12612)
#12610 := (iff #3252 #12600)
#12605 := (implies true #12600)
#12608 := (iff #12605 #12600)
#12609 := [rewrite]: #12608
#12606 := (iff #3252 #12605)
#12603 := (iff #3251 #12600)
#12597 := (implies #11974 #12594)
#12601 := (iff #12597 #12600)
#12602 := [rewrite]: #12601
#12598 := (iff #3251 #12597)
#12595 := (iff #3250 #12594)
#12592 := (iff #3249 #12589)
#12585 := (implies #12351 #12582)
#12590 := (iff #12585 #12589)
#12591 := [rewrite]: #12590
#12586 := (iff #3249 #12585)
#12583 := (iff #3248 #12582)
#12580 := (iff #3247 #12577)
#12573 := (implies #12357 #12568)
#12578 := (iff #12573 #12577)
#12579 := [rewrite]: #12578
#12574 := (iff #3247 #12573)
#12571 := (iff #3246 #12568)
#12564 := (implies #12360 #12559)
#12569 := (iff #12564 #12568)
#12570 := [rewrite]: #12569
#12565 := (iff #3246 #12564)
#12562 := (iff #3245 #12559)
#12555 := (implies #3194 #12550)
#12560 := (iff #12555 #12559)
#12561 := [rewrite]: #12560
#12556 := (iff #3245 #12555)
#12553 := (iff #3244 #12550)
#12546 := (implies #3196 #12541)
#12551 := (iff #12546 #12550)
#12552 := [rewrite]: #12551
#12547 := (iff #3244 #12546)
#12544 := (iff #3243 #12541)
#12537 := (implies #3064 #12525)
#12542 := (iff #12537 #12541)
#12543 := [rewrite]: #12542
#12538 := (iff #3243 #12537)
#12535 := (iff #3242 #12525)
#12530 := (implies true #12525)
#12533 := (iff #12530 #12525)
#12534 := [rewrite]: #12533
#12531 := (iff #3242 #12530)
#12528 := (iff #3241 #12525)
#12521 := (implies #12365 #12516)
#12526 := (iff #12521 #12525)
#12527 := [rewrite]: #12526
#12522 := (iff #3241 #12521)
#12519 := (iff #3240 #12516)
#12512 := (implies #12368 #12500)
#12517 := (iff #12512 #12516)
#12518 := [rewrite]: #12517
#12513 := (iff #3240 #12512)
#12369 := (iff #3201 #12368)
#12370 := [rewrite]: #12369
#12514 := [monotonicity #12370 #12511]: #12513
#12520 := [trans #12514 #12518]: #12519
#12366 := (iff #3199 #12365)
#12367 := [rewrite]: #12366
#12523 := [monotonicity #12367 #12520]: #12522
#12529 := [trans #12523 #12527]: #12528
#12532 := [monotonicity #12529]: #12531
#12536 := [trans #12532 #12534]: #12535
#12363 := (iff #3197 #3064)
#12364 := [rewrite]: #12363
#12539 := [monotonicity #12364 #12536]: #12538
#12545 := [trans #12539 #12543]: #12544
#12548 := [monotonicity #12545]: #12547
#12554 := [trans #12548 #12552]: #12553
#12557 := [monotonicity #12554]: #12556
#12563 := [trans #12557 #12561]: #12562
#12361 := (iff #3192 #12360)
#12362 := [rewrite]: #12361
#12566 := [monotonicity #12362 #12563]: #12565
#12572 := [trans #12566 #12570]: #12571
#12358 := (iff #3188 #12357)
#12355 := (iff #3187 #12354)
#12356 := [rewrite]: #12355
#12346 := (iff #3182 #12345)
#12347 := [rewrite]: #12346
#12359 := [monotonicity #12347 #12356]: #12358
#12575 := [monotonicity #12359 #12572]: #12574
#12581 := [trans #12575 #12579]: #12580
#12584 := [monotonicity #12359 #12581]: #12583
#12352 := (iff #3185 #12351)
#12349 := (iff #3184 #12348)
#12350 := [rewrite]: #12349
#12353 := [monotonicity #12347 #12350]: #12352
#12587 := [monotonicity #12353 #12584]: #12586
#12593 := [trans #12587 #12591]: #12592
#12596 := [monotonicity #12353 #12593]: #12595
#12599 := [monotonicity #11976 #12596]: #12598
#12604 := [trans #12599 #12602]: #12603
#12607 := [monotonicity #12604]: #12606
#12611 := [trans #12607 #12609]: #12610
#12614 := [monotonicity #11976 #12611]: #12613
#12619 := [trans #12614 #12617]: #12618
#12622 := [monotonicity #12619]: #12621
#12628 := [trans #12622 #12626]: #12627
#12631 := [monotonicity #11976 #12628]: #12630
#12636 := [trans #12631 #12634]: #12635
#12639 := [monotonicity #12636]: #12638
#12643 := [trans #12639 #12641]: #12642
#12732 := [monotonicity #12643 #12729]: #12731
#12735 := [monotonicity #11976 #12732]: #12734
#12740 := [trans #12735 #12738]: #12739
#12743 := [monotonicity #12359 #12740]: #12742
#12748 := [trans #12743 #12746]: #12747
#12751 := [monotonicity #12359 #12748]: #12750
#12754 := [monotonicity #12353 #12751]: #12753
#12759 := [trans #12754 #12757]: #12758
#12762 := [monotonicity #12353 #12759]: #12761
#12765 := [monotonicity #11976 #12762]: #12764
#12770 := [trans #12765 #12768]: #12769
#12773 := [monotonicity #12770]: #12772
#12777 := [trans #12773 #12775]: #12776
#12780 := [monotonicity #11976 #12777]: #12779
#12785 := [trans #12780 #12783]: #12784
#12788 := [monotonicity #12785]: #12787
#12794 := [trans #12788 #12792]: #12793
#12797 := [monotonicity #11976 #12794]: #12796
#12802 := [trans #12797 #12800]: #12801
#12805 := [monotonicity #12802]: #12804
#12809 := [trans #12805 #12807]: #12808
#12859 := [monotonicity #12809 #12856]: #12858
#12862 := [monotonicity #11976 #12859]: #12861
#12867 := [trans #12862 #12865]: #12866
#12343 := (iff #3178 true)
#12341 := (iff #12338 true)
#12342 := [rewrite]: #12341
#12339 := (iff #3178 #12338)
#12336 := (iff #3177 true)
#12337 := [rewrite]: #12336
#12334 := (iff #3176 true)
#12335 := [rewrite]: #12334
#12340 := [monotonicity #12335 #12337]: #12339
#12344 := [trans #12340 #12342]: #12343
#12870 := [monotonicity #12344 #12867]: #12869
#12874 := [trans #12870 #12872]: #12873
#12877 := [monotonicity #12874]: #12876
#12883 := [trans #12877 #12881]: #12882
#12886 := [monotonicity #12883]: #12885
#12892 := [trans #12886 #12890]: #12891
#12895 := [monotonicity #12892]: #12894
#12901 := [trans #12895 #12899]: #12900
#12904 := [monotonicity #12901]: #12903
#12910 := [trans #12904 #12908]: #12909
#12913 := [monotonicity #12910]: #12912
#12919 := [trans #12913 #12917]: #12918
#12009 := (iff #3081 #12006)
#12003 := (and #12000 #11908)
#12007 := (iff #12003 #12006)
#12008 := [rewrite]: #12007
#12004 := (iff #3081 #12003)
#11909 := (iff #2987 #11908)
#11910 := [rewrite]: #11909
#12001 := (iff #3080 #12000)
#12002 := [rewrite]: #12001
#12005 := [monotonicity #12002 #11910]: #12004
#12010 := [trans #12005 #12008]: #12009
#12922 := [monotonicity #12010 #12919]: #12921
#12927 := [trans #12922 #12925]: #12926
#12313 := (iff #3164 #12312)
#12310 := (iff #3163 #12309)
#12307 := (iff #3162 #12306)
#12308 := [rewrite]: #12307
#12311 := [monotonicity #12308]: #12310
#12314 := [monotonicity #12311]: #12313
#12930 := [monotonicity #12314 #12927]: #12929
#12936 := [trans #12930 #12934]: #12935
#12332 := (iff #3168 #12312)
#12315 := (and true #12312)
#12318 := (iff #12315 #12312)
#12319 := [rewrite]: #12318
#12330 := (iff #3168 #12315)
#12328 := (iff #3167 #12312)
#12326 := (iff #3167 #12315)
#12324 := (iff #3166 #12312)
#12322 := (iff #3166 #12315)
#12320 := (iff #3165 #12312)
#12316 := (iff #3165 #12315)
#12304 := (iff #3155 true)
#12299 := (forall (vars (?x783 T5)) (:pat #3151) true)
#12302 := (iff #12299 true)
#12303 := [elim-unused]: #12302
#12300 := (iff #3155 #12299)
#12297 := (iff #3154 true)
#12249 := (= uf_9 #3139)
#12261 := (implies #12249 #12249)
#12264 := (iff #12261 true)
#12265 := [rewrite]: #12264
#12295 := (iff #3154 #12261)
#12293 := (iff #3153 #12249)
#12254 := (and true #12249)
#12257 := (iff #12254 #12249)
#12258 := [rewrite]: #12257
#12291 := (iff #3153 #12254)
#12250 := (iff #3140 #12249)
#12251 := [rewrite]: #12250
#12289 := (iff #3152 true)
#12290 := [rewrite]: #12289
#12292 := [monotonicity #12290 #12251]: #12291
#12294 := [trans #12292 #12258]: #12293
#12296 := [monotonicity #12251 #12294]: #12295
#12298 := [trans #12296 #12265]: #12297
#12301 := [quant-intro #12298]: #12300
#12305 := [trans #12301 #12303]: #12304
#12317 := [monotonicity #12305 #12314]: #12316
#12321 := [trans #12317 #12319]: #12320
#12287 := (iff #3148 true)
#12242 := (forall (vars (?x780 T5)) (:pat #3128) true)
#12245 := (iff #12242 true)
#12246 := [elim-unused]: #12245
#12285 := (iff #3148 #12242)
#12283 := (iff #3147 true)
#12281 := (iff #3147 #12261)
#12279 := (iff #3146 #12249)
#12277 := (iff #3146 #12254)
#12275 := (iff #3145 true)
#12276 := [rewrite]: #12275
#12278 := [monotonicity #12276 #12251]: #12277
#12280 := [trans #12278 #12258]: #12279
#12282 := [monotonicity #12251 #12280]: #12281
#12284 := [trans #12282 #12265]: #12283
#12286 := [quant-intro #12284]: #12285
#12288 := [trans #12286 #12246]: #12287
#12323 := [monotonicity #12288 #12321]: #12322
#12325 := [trans #12323 #12319]: #12324
#12273 := (iff #3144 true)
#12268 := (forall (vars (?x781 T5)) (:pat #3138) true)
#12271 := (iff #12268 true)
#12272 := [elim-unused]: #12271
#12269 := (iff #3144 #12268)
#12266 := (iff #3143 true)
#12262 := (iff #3143 #12261)
#12259 := (iff #3142 #12249)
#12255 := (iff #3142 #12254)
#12252 := (iff #3141 true)
#12253 := [rewrite]: #12252
#12256 := [monotonicity #12253 #12251]: #12255
#12260 := [trans #12256 #12258]: #12259
#12263 := [monotonicity #12251 #12260]: #12262
#12267 := [trans #12263 #12265]: #12266
#12270 := [quant-intro #12267]: #12269
#12274 := [trans #12270 #12272]: #12273
#12327 := [monotonicity #12274 #12325]: #12326
#12329 := [trans #12327 #12319]: #12328
#12247 := (iff #3135 true)
#12243 := (iff #3135 #12242)
#12240 := (iff #3134 true)
#12229 := (= uf_261 #3131)
#12232 := (not #12229)
#12235 := (implies #12232 #12232)
#12238 := (iff #12235 true)
#12239 := [rewrite]: #12238
#12236 := (iff #3134 #12235)
#12233 := (iff #3133 #12232)
#12230 := (iff #3132 #12229)
#12231 := [rewrite]: #12230
#12234 := [monotonicity #12231]: #12233
#12237 := [monotonicity #12234 #12234]: #12236
#12241 := [trans #12237 #12239]: #12240
#12244 := [quant-intro #12241]: #12243
#12248 := [trans #12244 #12246]: #12247
#12331 := [monotonicity #12248 #12329]: #12330
#12333 := [trans #12331 #12319]: #12332
#12939 := [monotonicity #12333 #12936]: #12938
#12944 := [trans #12939 #12942]: #12943
#12947 := [monotonicity #11976 #12944]: #12946
#12952 := [trans #12947 #12950]: #12951
#12955 := [monotonicity #12952]: #12954
#12959 := [trans #12955 #12957]: #12958
#12962 := [monotonicity #11976 #12959]: #12961
#12967 := [trans #12962 #12965]: #12966
#12970 := [monotonicity #12967]: #12969
#12974 := [trans #12970 #12972]: #12973
#12977 := [monotonicity #11976 #12974]: #12976
#12982 := [trans #12977 #12980]: #12981
#12985 := [monotonicity #12982]: #12984
#12989 := [trans #12985 #12987]: #12988
#12227 := (iff #3125 true)
#12222 := (implies true true)
#12225 := (iff #12222 true)
#12226 := [rewrite]: #12225
#12223 := (iff #3125 #12222)
#12220 := (iff #3124 true)
#12215 := (implies #11974 true)
#12218 := (iff #12215 true)
#12219 := [rewrite]: #12218
#12216 := (iff #3124 #12215)
#12213 := (iff #3123 true)
#12180 := (or #12179 #12171)
#12188 := (or #12112 #12180)
#12203 := (or #12112 #12188)
#12208 := (implies false #12203)
#12211 := (iff #12208 true)
#12212 := [rewrite]: #12211
#12209 := (iff #3123 #12208)
#12206 := (iff #3122 #12203)
#12200 := (implies #11974 #12188)
#12204 := (iff #12200 #12203)
#12205 := [rewrite]: #12204
#12201 := (iff #3122 #12200)
#12198 := (iff #3121 #12188)
#12193 := (implies true #12188)
#12196 := (iff #12193 #12188)
#12197 := [rewrite]: #12196
#12194 := (iff #3121 #12193)
#12191 := (iff #3120 #12188)
#12185 := (implies #11974 #12180)
#12189 := (iff #12185 #12188)
#12190 := [rewrite]: #12189
#12186 := (iff #3120 #12185)
#12183 := (iff #3119 #12180)
#12176 := (implies #12006 #12171)
#12181 := (iff #12176 #12180)
#12182 := [rewrite]: #12181
#12177 := (iff #3119 #12176)
#12178 := [monotonicity #12010 #12175]: #12177
#12184 := [trans #12178 #12182]: #12183
#12187 := [monotonicity #11976 #12184]: #12186
#12192 := [trans #12187 #12190]: #12191
#12195 := [monotonicity #12192]: #12194
#12199 := [trans #12195 #12197]: #12198
#12202 := [monotonicity #11976 #12199]: #12201
#12207 := [trans #12202 #12205]: #12206
#12210 := [monotonicity #11999 #12207]: #12209
#12214 := [trans #12210 #12212]: #12213
#12217 := [monotonicity #11976 #12214]: #12216
#12221 := [trans #12217 #12219]: #12220
#12224 := [monotonicity #12221]: #12223
#12228 := [trans #12224 #12226]: #12227
#12992 := [monotonicity #12228 #12989]: #12991
#12996 := [trans #12992 #12994]: #12995
#12999 := [monotonicity #11976 #12996]: #12998
#13004 := [trans #12999 #13002]: #13003
#11996 := (iff #3076 #11995)
#11993 := (iff #3075 #11992)
#11994 := [rewrite]: #11993
#11997 := [monotonicity #11994]: #11996
#13007 := [monotonicity #11997 #13004]: #13006
#13013 := [trans #13007 #13011]: #13012
#11990 := (iff #3071 #11989)
#11987 := (iff #3070 #11984)
#11981 := (implies #412 #11978)
#11985 := (iff #11981 #11984)
#11986 := [rewrite]: #11985
#11982 := (iff #3070 #11981)
#11979 := (iff #3069 #11978)
#11980 := [rewrite]: #11979
#11983 := [monotonicity #11980]: #11982
#11988 := [trans #11983 #11986]: #11987
#11991 := [quant-intro #11988]: #11990
#13016 := [monotonicity #11991 #13013]: #13015
#13022 := [trans #13016 #13020]: #13021
#13025 := [monotonicity #13022]: #13024
#13031 := [trans #13025 #13029]: #13030
#13034 := [monotonicity #11976 #13031]: #13033
#13039 := [trans #13034 #13037]: #13038
#13042 := [monotonicity #13039]: #13041
#13048 := [trans #13042 #13046]: #13047
#13051 := [monotonicity #13048]: #13050
#13057 := [trans #13051 #13055]: #13056
#13060 := [monotonicity #13057]: #13059
#13066 := [trans #13060 #13064]: #13065
#13069 := [monotonicity #13066]: #13068
#13073 := [trans #13069 #13071]: #13072
#11972 := (iff #3051 #11971)
#11969 := (iff #3050 #3027)
#11970 := [rewrite]: #11969
#11973 := [monotonicity #11970]: #11972
#13076 := [monotonicity #11973 #13073]: #13075
#13082 := [trans #13076 #13080]: #13081
#13085 := [monotonicity #11973 #13082]: #13084
#11967 := (iff #3049 #11966)
#11964 := (iff #3048 #11961)
#11958 := (implies #412 #11955)
#11962 := (iff #11958 #11961)
#11963 := [rewrite]: #11962
#11959 := (iff #3048 #11958)
#11956 := (iff #3047 #11955)
#11957 := [rewrite]: #11956
#11960 := [monotonicity #11957]: #11959
#11965 := [trans #11960 #11963]: #11964
#11968 := [quant-intro #11965]: #11967
#13088 := [monotonicity #11968 #13085]: #13087
#13094 := [trans #13088 #13092]: #13093
#13097 := [monotonicity #11968 #13094]: #13096
#13100 := [monotonicity #13097]: #13099
#13106 := [trans #13100 #13104]: #13105
#13109 := [monotonicity #13106]: #13108
#11952 := (iff #3041 #11951)
#11949 := (iff #3040 #11948)
#11946 := (iff #3039 #3038)
#11947 := [rewrite]: #11946
#11950 := [monotonicity #11947]: #11949
#11953 := [monotonicity #11950]: #11952
#13112 := [monotonicity #11953 #13109]: #13111
#13118 := [trans #13112 #13116]: #13117
#13121 := [monotonicity #13118]: #13120
#13127 := [trans #13121 #13125]: #13126
#13130 := [monotonicity #13127]: #13129
#13136 := [trans #13130 #13134]: #13135
#13139 := [monotonicity #13136]: #13138
#13145 := [trans #13139 #13143]: #13144
#13148 := [monotonicity #13145]: #13147
#13154 := [trans #13148 #13152]: #13153
#11944 := (iff #3024 #11943)
#11941 := (iff #3023 #11940)
#11942 := [rewrite]: #11941
#11932 := (iff #3018 #11931)
#11933 := [rewrite]: #11932
#11945 := [monotonicity #11933 #11942]: #11944
#13157 := [monotonicity #11945 #13154]: #13156
#13163 := [trans #13157 #13161]: #13162
#13166 := [monotonicity #11945 #13163]: #13165
#11938 := (iff #3021 #11937)
#11935 := (iff #3020 #11934)
#11936 := [rewrite]: #11935
#11939 := [monotonicity #11933 #11936]: #11938
#13169 := [monotonicity #11939 #13166]: #13168
#13175 := [trans #13169 #13173]: #13174
#13178 := [monotonicity #11939 #13175]: #13177
#11929 := (iff #3015 #11928)
#11930 := [rewrite]: #11929
#13181 := [monotonicity #11930 #13178]: #13180
#13187 := [trans #13181 #13185]: #13186
#13190 := [monotonicity #11930 #13187]: #13189
#13193 := [monotonicity #13190]: #13192
#13199 := [trans #13193 #13197]: #13198
#11926 := (iff #3009 #11925)
#11923 := (iff #3008 #11920)
#11917 := (iff #11914 false)
#11921 := (iff #11917 #11920)
#11922 := [rewrite]: #11921
#11918 := (iff #3008 #11917)
#11915 := (iff #3007 #11914)
#11916 := [rewrite]: #11915
#11919 := [monotonicity #11916]: #11918
#11924 := [trans #11919 #11922]: #11923
#11927 := [quant-intro #11924]: #11926
#13202 := [monotonicity #11927 #13199]: #13201
#13208 := [trans #13202 #13206]: #13207
#13211 := [monotonicity #13208]: #13210
#13217 := [trans #13211 #13215]: #13216
#13220 := [monotonicity #13217]: #13219
#13226 := [trans #13220 #13224]: #13225
#13229 := [monotonicity #13226]: #13228
#13235 := [trans #13229 #13233]: #13234
#13238 := [monotonicity #13235]: #13237
#13244 := [trans #13238 #13242]: #13243
#11912 := (iff #2988 #11911)
#11906 := (iff #2985 #11905)
#11907 := [rewrite]: #11906
#11913 := [monotonicity #11907 #11910]: #11912
#13247 := [monotonicity #11913 #13244]: #13246
#13253 := [trans #13247 #13251]: #13252
#11903 := (iff #2982 #11902)
#11904 := [rewrite]: #11903
#13256 := [monotonicity #11904 #13253]: #13255
#13262 := [trans #13256 #13260]: #13261
#13265 := [monotonicity #13262]: #13264
#13269 := [trans #13265 #13267]: #13268
#11900 := (iff #2980 #11899)
#11897 := (iff #2979 #11896)
#11894 := (iff #2978 #11893)
#11891 := (iff #2977 #11890)
#11888 := (iff #2976 #11887)
#11885 := (iff #2975 #11884)
#11886 := [rewrite]: #11885
#11882 := (iff #2973 #11881)
#11879 := (iff #2972 #11878)
#11880 := [rewrite]: #11879
#11883 := [monotonicity #11880]: #11882
#11889 := [monotonicity #11883 #11886]: #11888
#11876 := (iff #2970 #11875)
#11877 := [rewrite]: #11876
#11892 := [monotonicity #11877 #11889]: #11891
#11873 := (iff #2968 #11872)
#11874 := [rewrite]: #11873
#11895 := [monotonicity #11874 #11892]: #11894
#11870 := (iff #2966 #11869)
#11871 := [rewrite]: #11870
#11898 := [monotonicity #11871 #11895]: #11897
#11867 := (iff #2964 #11866)
#11868 := [rewrite]: #11867
#11901 := [monotonicity #11868 #11898]: #11900
#13272 := [monotonicity #11901 #13269]: #13271
#13278 := [trans #13272 #13276]: #13277
#13281 := [monotonicity #13278]: #13280
#13287 := [trans #13281 #13285]: #13286
#13290 := [monotonicity #13287]: #13289
#13296 := [trans #13290 #13294]: #13295
#13299 := [monotonicity #13296]: #13298
#13305 := [trans #13299 #13303]: #13304
#13308 := [monotonicity #13305]: #13307
#13314 := [trans #13308 #13312]: #13313
#13317 := [monotonicity #13314]: #13316
#13323 := [trans #13317 #13321]: #13322
#13326 := [monotonicity #13323]: #13325
#13330 := [trans #13326 #13328]: #13329
#13333 := [monotonicity #13330]: #13332
#14241 := [trans #13333 #14239]: #14240
#11865 := [asserted]: #3349
#14242 := [mp #11865 #14241]: #14237
#14260 := [not-or-elim #14242]: #14124
#14264 := [and-elim #14260]: #11875
#27446 := [trans #14264 #27445]: #25896
#27208 := (>= #27025 0::int)
decl ?x776!15 :: int
#18607 := ?x776!15
#18612 := (uf_66 #2960 ?x776!15 uf_7)
#18613 := (uf_110 uf_273 #18612)
#18958 := (* -1::int #18613)
#18959 := (+ uf_299 #18958)
#18960 := (>= #18959 0::int)
#18945 := (* -1::int ?x776!15)
#18946 := (+ uf_272 #18945)
#18947 := (<= #18946 0::int)
#18609 := (>= ?x776!15 0::int)
#22442 := (not #18609)
#18608 := (<= ?x776!15 4294967295::int)
#22441 := (not #18608)
#22457 := (or #22441 #22442 #18947 #18960)
#22462 := (not #22457)
#22415 := (not #3095)
#22416 := (or #22415 #4987 #13725 #19482)
#23335 := (forall (vars (?x778 int)) (:pat #23194) #22416)
#23340 := (not #23335)
#22407 := (or #4987 #13725 #13739 #19482)
#23327 := (forall (vars (?x776 int)) (:pat #23194) #22407)
#23332 := (not #23327)
#23343 := (or #23332 #23340)
#23346 := (not #23343)
#23349 := (or #23346 #22462)
#23352 := (not #23349)
#22348 := (not #13409)
#23355 := (or #12096 #12087 #12078 #12069 #22348 #13552 #13698 #23352)
#23358 := (not #23355)
#23285 := (or #12662 #12653 #22348 #13552 #22307 #13603 #23252)
#23288 := (not #23285)
#23261 := (or #18425 #18434 #23258)
#23264 := (not #23261)
#23267 := (or #18425 #18428 #23264)
#23270 := (not #23267)
#23273 := (or #18425 #18428 #23270)
#23276 := (not #23273)
#23279 := (or #22348 #13552 #13604 #23276)
#23282 := (not #23279)
#23291 := (or #23282 #23288)
#23294 := (not #23291)
#23297 := (or #18425 #18434 #22348 #13552 #23294)
#23300 := (not #23297)
#23303 := (or #18425 #18434 #23300)
#23306 := (not #23303)
#23309 := (or #18425 #18428 #23306)
#23312 := (not #23309)
#23315 := (or #18425 #18428 #23312)
#23318 := (not #23315)
#23321 := (or #22348 #13552 #13697 #23318)
#23324 := (not #23321)
#23361 := (or #23324 #23358)
#23364 := (not #23361)
#22223 := (or #4987 #13890 #13904 #19482)
#23203 := (forall (vars (?x775 int)) (:pat #23194) #22223)
#23208 := (not #23203)
#1331 := 255::int
#15781 := (<= uf_292 255::int)
#22492 := (not #15781)
#15764 := (<= uf_293 4294967295::int)
#22491 := (not #15764)
#15747 := (<= uf_294 4294967295::int)
#22490 := (not #15747)
#22488 := (not #13952)
#22487 := (not #13930)
#15177 := (not #12000)
#22486 := (not #11992)
#22485 := (not #3174)
#22484 := (not #3173)
#23367 := (or #13149 #12914 #12905 #12896 #12887 #22484 #22485 #22486 #15177 #13870 #13404 #22348 #13552 #13875 #13927 #22487 #22488 #22490 #22491 #22492 #23208 #23364)
#23370 := (not #23367)
#23373 := (or #13149 #13404 #23370)
#23376 := (not #23373)
#22212 := (or #4987 #13371 #13383 #19482)
#23195 := (forall (vars (?x773 int)) (:pat #23194) #22212)
#23200 := (not #23195)
#23379 := (or #23200 #23376)
#23382 := (not #23379)
decl ?x773!13 :: int
#18346 := ?x773!13
#18356 := (>= ?x773!13 1::int)
#18351 := (uf_66 #2960 ?x773!13 uf_7)
#18352 := (uf_110 uf_273 #18351)
#18353 := (* -1::int #18352)
#18354 := (+ uf_285 #18353)
#18355 := (>= #18354 0::int)
#18348 := (>= ?x773!13 0::int)
#22186 := (not #18348)
#18347 := (<= ?x773!13 4294967295::int)
#22185 := (not #18347)
#22201 := (or #22185 #22186 #18355 #18356)
#22206 := (not #22201)
#23385 := (or #22206 #23382)
#23388 := (not #23385)
#23391 := (or #13368 #23388)
#23394 := (not #23391)
#23397 := (or #13368 #23394)
#23400 := (not #23397)
#18323 := (not #11940)
#18314 := (not #11931)
#23403 := (or #13149 #13140 #13131 #13122 #18314 #18323 #23400)
#23406 := (not #23403)
#23409 := (or #18314 #18323 #23406)
#23412 := (not #23409)
#18317 := (not #11934)
#23415 := (or #18314 #18317 #23412)
#23418 := (not #23415)
#23421 := (or #18314 #18317 #23418)
#23424 := (not #23421)
#23427 := (or #13182 #23424)
#23430 := (not #23427)
#23468 := (uf_116 #2962)
#24856 := (uf_43 #2958 #23468)
#25434 := (uf_200 uf_273 #24856 #24856 uf_284)
#25872 := (= #25434 #3014)
#25946 := (= #3014 #25434)
#24863 := (= #2962 #24856)
#14263 := [and-elim #14260]: #11872
#233 := (:var 0 T3)
#15 := (:var 1 T5)
#2666 := (uf_48 #15 #233)
#2667 := (pattern #2666)
#11162 := (= uf_9 #2666)
#11169 := (not #11162)
#1259 := (uf_116 #15)
#2669 := (uf_43 #233 #1259)
#2670 := (= #15 #2669)
#11170 := (or #2670 #11169)
#11175 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #11170)
#18151 := (~ #11175 #11175)
#18149 := (~ #11170 #11170)
#18150 := [refl]: #18149
#18152 := [nnf-pos #18150]: #18151
#2668 := (= #2666 uf_9)
#2671 := (implies #2668 #2670)
#2672 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #2671)
#11176 := (iff #2672 #11175)
#11173 := (iff #2671 #11170)
#11166 := (implies #11162 #2670)
#11171 := (iff #11166 #11170)
#11172 := [rewrite]: #11171
#11167 := (iff #2671 #11166)
#11164 := (iff #2668 #11162)
#11165 := [rewrite]: #11164
#11168 := [monotonicity #11165]: #11167
#11174 := [trans #11168 #11172]: #11173
#11177 := [quant-intro #11174]: #11176
#11161 := [asserted]: #2672
#11180 := [mp #11161 #11177]: #11175
#18153 := [mp~ #11180 #18152]: #11175
#24855 := (not #11872)
#24868 := (not #11175)
#24869 := (or #24868 #24855 #24863)
#24864 := (or #24863 #24855)
#24870 := (or #24868 #24864)
#24877 := (iff #24870 #24869)
#24865 := (or #24855 #24863)
#24872 := (or #24868 #24865)
#24875 := (iff #24872 #24869)
#24876 := [rewrite]: #24875
#24873 := (iff #24870 #24872)
#24866 := (iff #24864 #24865)
#24867 := [rewrite]: #24866
#24874 := [monotonicity #24867]: #24873
#24878 := [trans #24874 #24876]: #24877
#24871 := [quant-inst]: #24870
#24879 := [mp #24871 #24878]: #24869
#25847 := [unit-resolution #24879 #18153 #14263]: #24863
#25533 := [monotonicity #25847 #25847]: #25946
#25593 := [symm #25533]: #25872
#25435 := (= uf_9 #25434)
decl uf_196 :: (-> T4 T5 T5 T2)
#25432 := (uf_196 uf_273 #24856 #24856)
#25433 := (= uf_9 #25432)
#25437 := (iff #25433 #25435)
#2245 := (:var 0 T16)
#21 := (:var 2 T5)
#13 := (:var 3 T4)
#2256 := (uf_200 #13 #21 #15 #2245)
#2257 := (pattern #2256)
#2259 := (uf_196 #13 #21 #15)
#10125 := (= uf_9 #2259)
#10121 := (= uf_9 #2256)
#10128 := (iff #10121 #10125)
#10131 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #10128)
#17793 := (~ #10131 #10131)
#17791 := (~ #10128 #10128)
#17792 := [refl]: #17791
#17794 := [nnf-pos #17792]: #17793
#2260 := (= #2259 uf_9)
#2258 := (= #2256 uf_9)
#2261 := (iff #2258 #2260)
#2262 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #2261)
#10132 := (iff #2262 #10131)
#10129 := (iff #2261 #10128)
#10126 := (iff #2260 #10125)
#10127 := [rewrite]: #10126
#10123 := (iff #2258 #10121)
#10124 := [rewrite]: #10123
#10130 := [monotonicity #10124 #10127]: #10129
#10133 := [quant-intro #10130]: #10132
#10120 := [asserted]: #2262
#10136 := [mp #10120 #10133]: #10131
#17795 := [mp~ #10136 #17794]: #10131
#25449 := (not #10131)
#25475 := (or #25449 #25437)
#25436 := (iff #25435 #25433)
#25448 := (or #25449 #25436)
#25528 := (iff #25448 #25475)
#25530 := (iff #25475 #25475)
#25531 := [rewrite]: #25530
#25438 := (iff #25436 #25437)
#25439 := [rewrite]: #25438
#25529 := [monotonicity #25439]: #25528
#25467 := [trans #25529 #25531]: #25528
#25477 := [quant-inst]: #25448
#25474 := [mp #25477 #25467]: #25475
#25951 := [unit-resolution #25474 #17795]: #25437
#25473 := (not #25437)
#25516 := (or #25473 #25435)
#25267 := (uf_13 #24856)
#25544 := (uf_12 #25267)
#25547 := (= uf_14 #25544)
#25790 := (not #25547)
#25792 := (iff #11881 #25790)
#25854 := (iff #11878 #25547)
#25852 := (iff #25547 #11878)
#25851 := (= #25544 #2971)
#25787 := (= #25267 #2958)
#23686 := (uf_13 #2962)
#25785 := (= #23686 #2958)
#23689 := (= #2958 #23686)
#2697 := (uf_43 #326 #161)
#23131 := (pattern #2697)
#2701 := (uf_13 #2697)
#11240 := (= #326 #2701)
#23138 := (forall (vars (?x720 T3) (?x721 int)) (:pat #23131) #11240)
#11244 := (forall (vars (?x720 T3) (?x721 int)) #11240)
#23141 := (iff #11244 #23138)
#23139 := (iff #11240 #11240)
#23140 := [refl]: #23139
#23142 := [quant-intro #23140]: #23141
#18176 := (~ #11244 #11244)
#18174 := (~ #11240 #11240)
#18175 := [refl]: #18174
#18177 := [nnf-pos #18175]: #18176
#2702 := (= #2701 #326)
#2703 := (forall (vars (?x720 T3) (?x721 int)) #2702)
#11245 := (iff #2703 #11244)
#11242 := (iff #2702 #11240)
#11243 := [rewrite]: #11242
#11246 := [quant-intro #11243]: #11245
#11239 := [asserted]: #2703
#11249 := [mp #11239 #11246]: #11244
#18178 := [mp~ #11249 #18177]: #11244
#23143 := [mp #18178 #23142]: #23138
#23633 := (not #23138)
#23694 := (or #23633 #23689)
#23695 := [quant-inst]: #23694
#25772 := [unit-resolution #23695 #23143]: #23689
#25786 := [symm #25772]: #25785
#25773 := (= #25267 #23686)
#25870 := (= #24856 #2962)
#25871 := [symm #25847]: #25870
#25789 := [monotonicity #25871]: #25773
#25788 := [trans #25789 #25786]: #25787
#25784 := [monotonicity #25788]: #25851
#25853 := [monotonicity #25784]: #25852
#25855 := [symm #25853]: #25854
#25794 := [monotonicity #25855]: #25792
#14265 := [and-elim #14260]: #11881
#25795 := [mp #14265 #25794]: #25790
#25536 := (uf_24 uf_273 #24856)
#25537 := (= uf_9 #25536)
#25793 := (= #2969 #25536)
#25796 := (= #25536 #2969)
#25791 := [monotonicity #25871]: #25796
#25798 := [symm #25791]: #25793
#25781 := [trans #14264 #25798]: #25537
#25539 := (uf_48 #24856 #25267)
#25540 := (= uf_9 #25539)
#25841 := (= #2967 #25539)
#25782 := (= #25539 #2967)
#25780 := [monotonicity #25871 #25788]: #25782
#26004 := [symm #25780]: #25841
#26005 := [trans #14263 #26004]: #25540
#25541 := (not #25540)
#25538 := (not #25537)
#26027 := (or #25538 #25541 #25547)
#25279 := (uf_25 uf_273 #24856)
#25542 := (= uf_26 #25279)
#25938 := (= #2965 #25279)
#26006 := (= #25279 #2965)
#25934 := [monotonicity #25871]: #26006
#25939 := [symm #25934]: #25938
#14262 := [and-elim #14260]: #11869
#25940 := [trans #14262 #25939]: #25542
#25454 := (not #25433)
#25935 := [hypothesis]: #25454
#25305 := (uf_27 uf_273 #24856)
#25306 := (= uf_9 #25305)
#25943 := (= #2963 #25305)
#25936 := (= #25305 #2963)
#25941 := [monotonicity #25871]: #25936
#25944 := [symm #25941]: #25943
#14261 := [and-elim #14260]: #11866
#25945 := [trans #14261 #25944]: #25306
#25268 := (uf_23 #25267)
#25275 := (= uf_9 #25268)
#26035 := (= #2974 #25268)
#26030 := (= #25268 #2974)
#26031 := [monotonicity #25788]: #26030
#26036 := [symm #26031]: #26035
#14266 := [and-elim #14260]: #11884
#26026 := [trans #14266 #26036]: #25275
#14249 := [not-or-elim #14242]: #11911
#14251 := [and-elim #14249]: #11908
#2217 := (uf_196 #47 #23 #23)
#2218 := (pattern #2217)
#10006 := (= uf_9 #2217)
#227 := (uf_55 #47)
#3921 := (= uf_9 #227)
#19350 := (not #3921)
#144 := (uf_48 #23 #26)
#3642 := (= uf_9 #144)
#19225 := (not #3642)
#19224 := (not #3639)
#135 := (uf_27 #47 #23)
#3624 := (= uf_9 #135)
#10715 := (not #3624)
#71 := (uf_23 #26)
#3477 := (= uf_9 #71)
#10770 := (not #3477)
#21783 := (or #29 #10770 #10715 #19224 #19225 #11090 #19350 #10006)
#21788 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #21783)
#10021 := (and #52 #3477 #3624 #3639 #3642 #3645 #3921)
#10024 := (not #10021)
#10030 := (or #10006 #10024)
#10035 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10030)
#21789 := (iff #10035 #21788)
#21786 := (iff #10030 #21783)
#21769 := (or #29 #10770 #10715 #19224 #19225 #11090 #19350)
#21780 := (or #10006 #21769)
#21784 := (iff #21780 #21783)
#21785 := [rewrite]: #21784
#21781 := (iff #10030 #21780)
#21778 := (iff #10024 #21769)
#21770 := (not #21769)
#21773 := (not #21770)
#21776 := (iff #21773 #21769)
#21777 := [rewrite]: #21776
#21774 := (iff #10024 #21773)
#21771 := (iff #10021 #21770)
#21772 := [rewrite]: #21771
#21775 := [monotonicity #21772]: #21774
#21779 := [trans #21775 #21777]: #21778
#21782 := [monotonicity #21779]: #21781
#21787 := [trans #21782 #21785]: #21786
#21790 := [quant-intro #21787]: #21789
#17761 := (~ #10035 #10035)
#17759 := (~ #10030 #10030)
#17760 := [refl]: #17759
#17762 := [nnf-pos #17760]: #17761
#2225 := (= #2217 uf_9)
#72 := (= #71 uf_9)
#2219 := (and #52 #72)
#2220 := (and #147 #2219)
#145 := (= #144 uf_9)
#2221 := (and #145 #2220)
#2222 := (and #143 #2221)
#136 := (= #135 uf_9)
#2223 := (and #136 #2222)
#229 := (= #227 uf_9)
#2224 := (and #229 #2223)
#2226 := (implies #2224 #2225)
#2227 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #2226)
#10038 := (iff #2227 #10035)
#9987 := (and #52 #3477)
#9991 := (and #3645 #9987)
#9994 := (and #3642 #9991)
#9997 := (and #3639 #9994)
#10000 := (and #3624 #9997)
#10003 := (and #3921 #10000)
#10012 := (not #10003)
#10013 := (or #10012 #10006)
#10018 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10013)
#10036 := (iff #10018 #10035)
#10033 := (iff #10013 #10030)
#10027 := (or #10024 #10006)
#10031 := (iff #10027 #10030)
#10032 := [rewrite]: #10031
#10028 := (iff #10013 #10027)
#10025 := (iff #10012 #10024)
#10022 := (iff #10003 #10021)
#10023 := [rewrite]: #10022
#10026 := [monotonicity #10023]: #10025
#10029 := [monotonicity #10026]: #10028
#10034 := [trans #10029 #10032]: #10033
#10037 := [quant-intro #10034]: #10036
#10019 := (iff #2227 #10018)
#10016 := (iff #2226 #10013)
#10009 := (implies #10003 #10006)
#10014 := (iff #10009 #10013)
#10015 := [rewrite]: #10014
#10010 := (iff #2226 #10009)
#10007 := (iff #2225 #10006)
#10008 := [rewrite]: #10007
#10004 := (iff #2224 #10003)
#10001 := (iff #2223 #10000)
#9998 := (iff #2222 #9997)
#9995 := (iff #2221 #9994)
#9992 := (iff #2220 #9991)
#9989 := (iff #2219 #9987)
#3478 := (iff #72 #3477)
#3479 := [rewrite]: #3478
#9990 := [monotonicity #3479]: #9989
#9993 := [monotonicity #3647 #9990]: #9992
#3643 := (iff #145 #3642)
#3644 := [rewrite]: #3643
#9996 := [monotonicity #3644 #9993]: #9995
#9999 := [monotonicity #3641 #9996]: #9998
#3626 := (iff #136 #3624)
#3627 := [rewrite]: #3626
#10002 := [monotonicity #3627 #9999]: #10001
#3923 := (iff #229 #3921)
#3924 := [rewrite]: #3923
#10005 := [monotonicity #3924 #10002]: #10004
#10011 := [monotonicity #10005 #10008]: #10010
#10017 := [trans #10011 #10015]: #10016
#10020 := [quant-intro #10017]: #10019
#10039 := [trans #10020 #10037]: #10038
#9986 := [asserted]: #2227
#10040 := [mp #9986 #10039]: #10035
#17763 := [mp~ #10040 #17762]: #10035
#21791 := [mp #17763 #21790]: #21788
#25543 := (not #25542)
#25332 := (not #25306)
#25276 := (not #25275)
#22661 := (not #11908)
#25535 := (not #21788)
#25562 := (or #25535 #22661 #25276 #25332 #25433 #25538 #25541 #25543 #25547)
#25545 := (= #25544 uf_14)
#25546 := (or #25545 #25276 #25332 #25543 #25541 #25538 #22661 #25433)
#25563 := (or #25535 #25546)
#25625 := (iff #25563 #25562)
#25553 := (or #22661 #25276 #25332 #25433 #25538 #25541 #25543 #25547)
#25559 := (or #25535 #25553)
#25618 := (iff #25559 #25562)
#25624 := [rewrite]: #25618
#25565 := (iff #25563 #25559)
#25556 := (iff #25546 #25553)
#25550 := (or #25547 #25276 #25332 #25543 #25541 #25538 #22661 #25433)
#25554 := (iff #25550 #25553)
#25555 := [rewrite]: #25554
#25551 := (iff #25546 #25550)
#25548 := (iff #25545 #25547)
#25549 := [rewrite]: #25548
#25552 := [monotonicity #25549]: #25551
#25557 := [trans #25552 #25555]: #25556
#25623 := [monotonicity #25557]: #25565
#25601 := [trans #25623 #25624]: #25625
#25564 := [quant-inst]: #25563
#25626 := [mp #25564 #25601]: #25562
#26028 := [unit-resolution #25626 #21791 #14251 #26026 #25945 #25935 #25940]: #26027
#26029 := [unit-resolution #26028 #26005 #25781 #25795]: false
#26048 := [lemma #26029]: #25433
#25441 := (or #25473 #25454 #25435)
#25442 := [def-axiom]: #25441
#25561 := [unit-resolution #25442 #26048]: #25516
#25532 := [unit-resolution #25561 #25951]: #25435
#25581 := [trans #25532 #25593]: #11928
#25476 := [hypothesis]: #13182
#25585 := [unit-resolution #25476 #25581]: false
#25596 := [lemma #25585]: #11928
#23433 := (or #13182 #23430)
#22427 := (forall (vars (?x778 int)) #22416)
#22434 := (not #22427)
#22412 := (forall (vars (?x776 int)) #22407)
#22433 := (not #22412)
#22435 := (or #22433 #22434)
#22436 := (not #22435)
#22465 := (or #22436 #22462)
#22471 := (not #22465)
#22472 := (or #12096 #12087 #12078 #12069 #22348 #13552 #13698 #22471)
#22473 := (not #22472)
#22251 := (forall (vars (?x786 int)) #22246)
#22257 := (not #22251)
#22258 := (or #22233 #22257)
#22259 := (not #22258)
#22288 := (or #22259 #22285)
#22294 := (not #22288)
#22295 := (or #13451 #22294)
#22296 := (not #22295)
#22301 := (or #13451 #22296)
#22309 := (not #22301)
#22310 := (or #12469 #22307 #18463 #22308 #13518 #18466 #22309)
#22311 := (not #22310)
#22316 := (or #18463 #18466 #22311)
#22322 := (not #22316)
#22359 := (or #12662 #12653 #22348 #13552 #22307 #13603 #22322)
#22360 := (not #22359)
#22323 := (or #12558 #12549 #18425 #18434 #12567 #12524 #12515 #13552 #22307 #22322)
#22324 := (not #22323)
#22329 := (or #18425 #18434 #22324)
#22335 := (not #22329)
#22336 := (or #18425 #18428 #22335)
#22337 := (not #22336)
#22342 := (or #18425 #18428 #22337)
#22349 := (not #22342)
#22350 := (or #22348 #13552 #13604 #22349)
#22351 := (not #22350)
#22365 := (or #22351 #22360)
#22371 := (not #22365)
#22372 := (or #18425 #18434 #22348 #13552 #22371)
#22373 := (not #22372)
#22378 := (or #18425 #18434 #22373)
#22384 := (not #22378)
#22385 := (or #18425 #18428 #22384)
#22386 := (not #22385)
#22391 := (or #18425 #18428 #22386)
#22397 := (not #22391)
#22398 := (or #22348 #13552 #13697 #22397)
#22399 := (not #22398)
#22478 := (or #22399 #22473)
#22493 := (not #22478)
#22228 := (forall (vars (?x775 int)) #22223)
#22489 := (not #22228)
#22494 := (or #13149 #12914 #12905 #12896 #12887 #22484 #22485 #22486 #15177 #13870 #13404 #22348 #13552 #13875 #13927 #22487 #22488 #22490 #22491 #22492 #22489 #22493)
#22495 := (not #22494)
#22500 := (or #13149 #13404 #22495)
#22507 := (not #22500)
#22217 := (forall (vars (?x773 int)) #22212)
#22506 := (not #22217)
#22508 := (or #22506 #22507)
#22509 := (not #22508)
#22514 := (or #22206 #22509)
#22520 := (not #22514)
#22521 := (or #13368 #22520)
#22522 := (not #22521)
#22527 := (or #13368 #22522)
#22533 := (not #22527)
#22534 := (or #13149 #13140 #13131 #13122 #18314 #18323 #22533)
#22535 := (not #22534)
#22540 := (or #18314 #18323 #22535)
#22546 := (not #22540)
#22547 := (or #18314 #18317 #22546)
#22548 := (not #22547)
#22553 := (or #18314 #18317 #22548)
#22559 := (not #22553)
#22560 := (or #13182 #22559)
#22561 := (not #22560)
#22566 := (or #13182 #22561)
#23434 := (iff #22566 #23433)
#23431 := (iff #22561 #23430)
#23428 := (iff #22560 #23427)
#23425 := (iff #22559 #23424)
#23422 := (iff #22553 #23421)
#23419 := (iff #22548 #23418)
#23416 := (iff #22547 #23415)
#23413 := (iff #22546 #23412)
#23410 := (iff #22540 #23409)
#23407 := (iff #22535 #23406)
#23404 := (iff #22534 #23403)
#23401 := (iff #22533 #23400)
#23398 := (iff #22527 #23397)
#23395 := (iff #22522 #23394)
#23392 := (iff #22521 #23391)
#23389 := (iff #22520 #23388)
#23386 := (iff #22514 #23385)
#23383 := (iff #22509 #23382)
#23380 := (iff #22508 #23379)
#23377 := (iff #22507 #23376)
#23374 := (iff #22500 #23373)
#23371 := (iff #22495 #23370)
#23368 := (iff #22494 #23367)
#23365 := (iff #22493 #23364)
#23362 := (iff #22478 #23361)
#23359 := (iff #22473 #23358)
#23356 := (iff #22472 #23355)
#23353 := (iff #22471 #23352)
#23350 := (iff #22465 #23349)
#23347 := (iff #22436 #23346)
#23344 := (iff #22435 #23343)
#23341 := (iff #22434 #23340)
#23338 := (iff #22427 #23335)
#23336 := (iff #22416 #22416)
#23337 := [refl]: #23336
#23339 := [quant-intro #23337]: #23338
#23342 := [monotonicity #23339]: #23341
#23333 := (iff #22433 #23332)
#23330 := (iff #22412 #23327)
#23328 := (iff #22407 #22407)
#23329 := [refl]: #23328
#23331 := [quant-intro #23329]: #23330
#23334 := [monotonicity #23331]: #23333
#23345 := [monotonicity #23334 #23342]: #23344
#23348 := [monotonicity #23345]: #23347
#23351 := [monotonicity #23348]: #23350
#23354 := [monotonicity #23351]: #23353
#23357 := [monotonicity #23354]: #23356
#23360 := [monotonicity #23357]: #23359
#23325 := (iff #22399 #23324)
#23322 := (iff #22398 #23321)
#23319 := (iff #22397 #23318)
#23316 := (iff #22391 #23315)
#23313 := (iff #22386 #23312)
#23310 := (iff #22385 #23309)
#23307 := (iff #22384 #23306)
#23304 := (iff #22378 #23303)
#23301 := (iff #22373 #23300)
#23298 := (iff #22372 #23297)
#23295 := (iff #22371 #23294)
#23292 := (iff #22365 #23291)
#23289 := (iff #22360 #23288)
#23286 := (iff #22359 #23285)
#23253 := (iff #22322 #23252)
#23250 := (iff #22316 #23249)
#23247 := (iff #22311 #23246)
#23244 := (iff #22310 #23243)
#23241 := (iff #22309 #23240)
#23238 := (iff #22301 #23237)
#23235 := (iff #22296 #23234)
#23232 := (iff #22295 #23231)
#23229 := (iff #22294 #23228)
#23226 := (iff #22288 #23225)
#23223 := (iff #22259 #23222)
#23220 := (iff #22258 #23219)
#23217 := (iff #22257 #23216)
#23214 := (iff #22251 #23211)
#23212 := (iff #22246 #22246)
#23213 := [refl]: #23212
#23215 := [quant-intro #23213]: #23214
#23218 := [monotonicity #23215]: #23217
#23221 := [monotonicity #23218]: #23220
#23224 := [monotonicity #23221]: #23223
#23227 := [monotonicity #23224]: #23226
#23230 := [monotonicity #23227]: #23229
#23233 := [monotonicity #23230]: #23232
#23236 := [monotonicity #23233]: #23235
#23239 := [monotonicity #23236]: #23238
#23242 := [monotonicity #23239]: #23241
#23245 := [monotonicity #23242]: #23244
#23248 := [monotonicity #23245]: #23247
#23251 := [monotonicity #23248]: #23250
#23254 := [monotonicity #23251]: #23253
#23287 := [monotonicity #23254]: #23286
#23290 := [monotonicity #23287]: #23289
#23283 := (iff #22351 #23282)
#23280 := (iff #22350 #23279)
#23277 := (iff #22349 #23276)
#23274 := (iff #22342 #23273)
#23271 := (iff #22337 #23270)
#23268 := (iff #22336 #23267)
#23265 := (iff #22335 #23264)
#23262 := (iff #22329 #23261)
#23259 := (iff #22324 #23258)
#23256 := (iff #22323 #23255)
#23257 := [monotonicity #23254]: #23256
#23260 := [monotonicity #23257]: #23259
#23263 := [monotonicity #23260]: #23262
#23266 := [monotonicity #23263]: #23265
#23269 := [monotonicity #23266]: #23268
#23272 := [monotonicity #23269]: #23271
#23275 := [monotonicity #23272]: #23274
#23278 := [monotonicity #23275]: #23277
#23281 := [monotonicity #23278]: #23280
#23284 := [monotonicity #23281]: #23283
#23293 := [monotonicity #23284 #23290]: #23292
#23296 := [monotonicity #23293]: #23295
#23299 := [monotonicity #23296]: #23298
#23302 := [monotonicity #23299]: #23301
#23305 := [monotonicity #23302]: #23304
#23308 := [monotonicity #23305]: #23307
#23311 := [monotonicity #23308]: #23310
#23314 := [monotonicity #23311]: #23313
#23317 := [monotonicity #23314]: #23316
#23320 := [monotonicity #23317]: #23319
#23323 := [monotonicity #23320]: #23322
#23326 := [monotonicity #23323]: #23325
#23363 := [monotonicity #23326 #23360]: #23362
#23366 := [monotonicity #23363]: #23365
#23209 := (iff #22489 #23208)
#23206 := (iff #22228 #23203)
#23204 := (iff #22223 #22223)
#23205 := [refl]: #23204
#23207 := [quant-intro #23205]: #23206
#23210 := [monotonicity #23207]: #23209
#23369 := [monotonicity #23210 #23366]: #23368
#23372 := [monotonicity #23369]: #23371
#23375 := [monotonicity #23372]: #23374
#23378 := [monotonicity #23375]: #23377
#23201 := (iff #22506 #23200)
#23198 := (iff #22217 #23195)
#23196 := (iff #22212 #22212)
#23197 := [refl]: #23196
#23199 := [quant-intro #23197]: #23198
#23202 := [monotonicity #23199]: #23201
#23381 := [monotonicity #23202 #23378]: #23380
#23384 := [monotonicity #23381]: #23383
#23387 := [monotonicity #23384]: #23386
#23390 := [monotonicity #23387]: #23389
#23393 := [monotonicity #23390]: #23392
#23396 := [monotonicity #23393]: #23395
#23399 := [monotonicity #23396]: #23398
#23402 := [monotonicity #23399]: #23401
#23405 := [monotonicity #23402]: #23404
#23408 := [monotonicity #23405]: #23407
#23411 := [monotonicity #23408]: #23410
#23414 := [monotonicity #23411]: #23413
#23417 := [monotonicity #23414]: #23416
#23420 := [monotonicity #23417]: #23419
#23423 := [monotonicity #23420]: #23422
#23426 := [monotonicity #23423]: #23425
#23429 := [monotonicity #23426]: #23428
#23432 := [monotonicity #23429]: #23431
#23435 := [monotonicity #23432]: #23434
#18965 := (and #18608 #18609)
#18968 := (not #18965)
#18971 := (or #18947 #18960 #18968)
#18974 := (not #18971)
#15917 := (and #3095 #4065 #13727 #15097)
#18631 := (not #15917)
#18634 := (forall (vars (?x778 int)) #18631)
#14340 := (and #4065 #15097)
#14339 := (not #14340)
#15903 := (or #13725 #13739 #14339)
#15908 := (forall (vars (?x776 int)) #15903)
#18638 := (and #15908 #18634)
#18980 := (or #18638 #18974)
#18988 := (and #12011 #12014 #12017 #12020 #13409 #13412 #13697 #18980)
#18817 := (and #18484 #18485)
#18820 := (not #18817)
#18823 := (or #18799 #18812 #18820)
#18826 := (not #18823)
#15804 := (or #13454 #13468 #14339)
#15809 := (forall (vars (?x786 int)) #15804)
#18500 := (not #13497)
#18510 := (and #18500 #15809)
#18832 := (or #18510 #18826)
#18837 := (and #13446 #18832)
#18840 := (or #13451 #18837)
#18848 := (and #3211 #13421 #13430 #13438 #13514 #15796 #18840)
#18853 := (or #18463 #18466 #18848)
#18893 := (and #12644 #12647 #13409 #13412 #13421 #13604 #18853)
#18859 := (and #3194 #3196 #12345 #12354 #12360 #12365 #12368 #13412 #13421 #18853)
#18864 := (or #18425 #18434 #18859)
#18870 := (and #12345 #12348 #18864)
#18875 := (or #18425 #18428 #18870)
#18881 := (and #13409 #13412 #13603 #18875)
#18898 := (or #18881 #18893)
#18904 := (and #12345 #12354 #13409 #13412 #18898)
#18909 := (or #18425 #18434 #18904)
#18915 := (and #12345 #12348 #18909)
#18920 := (or #18425 #18428 #18915)
#18926 := (and #13409 #13412 #13698 #18920)
#18993 := (or #18926 #18988)
#15730 := (or #13890 #13904 #14339)
#15735 := (forall (vars (?x775 int)) #15730)
#18999 := (and #3027 #3169 #3170 #3171 #3172 #3173 #3174 #11992 #12000 #12306 #13405 #13409 #13412 #13876 #13924 #13930 #13952 #15735 #15747 #15764 #15781 #18993)
#19004 := (or #13149 #13404 #18999)
#15716 := (or #13371 #13383 #14339)
#15721 := (forall (vars (?x773 int)) #15716)
#19007 := (and #15721 #19004)
#18720 := (and #18347 #18348)
#18723 := (not #18720)
#18729 := (or #18355 #18356 #18723)
#18734 := (not #18729)
#19010 := (or #18734 #19007)
#19013 := (and #13365 #19010)
#19016 := (or #13368 #19013)
#19022 := (and #3027 #3030 #3033 #3036 #11931 #11940 #19016)
#19027 := (or #18314 #18323 #19022)
#19033 := (and #11931 #11934 #19027)
#19038 := (or #18314 #18317 #19033)
#19041 := (and #11928 #19038)
#19044 := (or #13182 #19041)
#22567 := (iff #19044 #22566)
#22564 := (iff #19041 #22561)
#22556 := (and #11928 #22553)
#22562 := (iff #22556 #22561)
#22563 := [rewrite]: #22562
#22557 := (iff #19041 #22556)
#22554 := (iff #19038 #22553)
#22551 := (iff #19033 #22548)
#22543 := (and #11931 #11934 #22540)
#22549 := (iff #22543 #22548)
#22550 := [rewrite]: #22549
#22544 := (iff #19033 #22543)
#22541 := (iff #19027 #22540)
#22538 := (iff #19022 #22535)
#22530 := (and #3027 #3030 #3033 #3036 #11931 #11940 #22527)
#22536 := (iff #22530 #22535)
#22537 := [rewrite]: #22536
#22531 := (iff #19022 #22530)
#22528 := (iff #19016 #22527)
#22525 := (iff #19013 #22522)
#22517 := (and #13365 #22514)
#22523 := (iff #22517 #22522)
#22524 := [rewrite]: #22523
#22518 := (iff #19013 #22517)
#22515 := (iff #19010 #22514)
#22512 := (iff #19007 #22509)
#22503 := (and #22217 #22500)
#22510 := (iff #22503 #22509)
#22511 := [rewrite]: #22510
#22504 := (iff #19007 #22503)
#22501 := (iff #19004 #22500)
#22498 := (iff #18999 #22495)
#22481 := (and #3027 #3169 #3170 #3171 #3172 #3173 #3174 #11992 #12000 #12306 #13405 #13409 #13412 #13876 #13924 #13930 #13952 #22228 #15747 #15764 #15781 #22478)
#22496 := (iff #22481 #22495)
#22497 := [rewrite]: #22496
#22482 := (iff #18999 #22481)
#22479 := (iff #18993 #22478)
#22476 := (iff #18988 #22473)
#22468 := (and #12011 #12014 #12017 #12020 #13409 #13412 #13697 #22465)
#22474 := (iff #22468 #22473)
#22475 := [rewrite]: #22474
#22469 := (iff #18988 #22468)
#22466 := (iff #18980 #22465)
#22463 := (iff #18974 #22462)
#22460 := (iff #18971 #22457)
#22443 := (or #22441 #22442)
#22454 := (or #18947 #18960 #22443)
#22458 := (iff #22454 #22457)
#22459 := [rewrite]: #22458
#22455 := (iff #18971 #22454)
#22452 := (iff #18968 #22443)
#22444 := (not #22443)
#22447 := (not #22444)
#22450 := (iff #22447 #22443)
#22451 := [rewrite]: #22450
#22448 := (iff #18968 #22447)
#22445 := (iff #18965 #22444)
#22446 := [rewrite]: #22445
#22449 := [monotonicity #22446]: #22448
#22453 := [trans #22449 #22451]: #22452
#22456 := [monotonicity #22453]: #22455
#22461 := [trans #22456 #22459]: #22460
#22464 := [monotonicity #22461]: #22463
#22439 := (iff #18638 #22436)
#22430 := (and #22412 #22427)
#22437 := (iff #22430 #22436)
#22438 := [rewrite]: #22437
#22431 := (iff #18638 #22430)
#22428 := (iff #18634 #22427)
#22425 := (iff #18631 #22416)
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#22423 := (iff #22420 #22416)
#22424 := [rewrite]: #22423
#22421 := (iff #18631 #22420)
#22418 := (iff #15917 #22417)
#22419 := [rewrite]: #22418
#22422 := [monotonicity #22419]: #22421
#22426 := [trans #22422 #22424]: #22425
#22429 := [quant-intro #22426]: #22428
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#22410 := (iff #15903 #22407)
#20120 := (or #4987 #19482)
#22404 := (or #13725 #13739 #20120)
#22408 := (iff #22404 #22407)
#22409 := [rewrite]: #22408
#22405 := (iff #15903 #22404)
#20129 := (iff #14339 #20120)
#20121 := (not #20120)
#20124 := (not #20121)
#20127 := (iff #20124 #20120)
#20128 := [rewrite]: #20127
#20125 := (iff #14339 #20124)
#20122 := (iff #14340 #20121)
#20123 := [rewrite]: #20122
#20126 := [monotonicity #20123]: #20125
#20130 := [trans #20126 #20128]: #20129
#22406 := [monotonicity #20130]: #22405
#22411 := [trans #22406 #22409]: #22410
#22414 := [quant-intro #22411]: #22413
#22432 := [monotonicity #22414 #22429]: #22431
#22440 := [trans #22432 #22438]: #22439
#22467 := [monotonicity #22440 #22464]: #22466
#22470 := [monotonicity #22467]: #22469
#22477 := [trans #22470 #22475]: #22476
#22402 := (iff #18926 #22399)
#22394 := (and #13409 #13412 #13698 #22391)
#22400 := (iff #22394 #22399)
#22401 := [rewrite]: #22400
#22395 := (iff #18926 #22394)
#22392 := (iff #18920 #22391)
#22389 := (iff #18915 #22386)
#22381 := (and #12345 #12348 #22378)
#22387 := (iff #22381 #22386)
#22388 := [rewrite]: #22387
#22382 := (iff #18915 #22381)
#22379 := (iff #18909 #22378)
#22376 := (iff #18904 #22373)
#22368 := (and #12345 #12354 #13409 #13412 #22365)
#22374 := (iff #22368 #22373)
#22375 := [rewrite]: #22374
#22369 := (iff #18904 #22368)
#22366 := (iff #18898 #22365)
#22363 := (iff #18893 #22360)
#22356 := (and #12644 #12647 #13409 #13412 #13421 #13604 #22316)
#22361 := (iff #22356 #22360)
#22362 := [rewrite]: #22361
#22357 := (iff #18893 #22356)
#22317 := (iff #18853 #22316)
#22314 := (iff #18848 #22311)
#22304 := (and #3211 #13421 #13430 #13438 #13514 #15796 #22301)
#22312 := (iff #22304 #22311)
#22313 := [rewrite]: #22312
#22305 := (iff #18848 #22304)
#22302 := (iff #18840 #22301)
#22299 := (iff #18837 #22296)
#22291 := (and #13446 #22288)
#22297 := (iff #22291 #22296)
#22298 := [rewrite]: #22297
#22292 := (iff #18837 #22291)
#22289 := (iff #18832 #22288)
#22286 := (iff #18826 #22285)
#22283 := (iff #18823 #22280)
#22266 := (or #22264 #22265)
#22277 := (or #18799 #18812 #22266)
#22281 := (iff #22277 #22280)
#22282 := [rewrite]: #22281
#22278 := (iff #18823 #22277)
#22275 := (iff #18820 #22266)
#22267 := (not #22266)
#22270 := (not #22267)
#22273 := (iff #22270 #22266)
#22274 := [rewrite]: #22273
#22271 := (iff #18820 #22270)
#22268 := (iff #18817 #22267)
#22269 := [rewrite]: #22268
#22272 := [monotonicity #22269]: #22271
#22276 := [trans #22272 #22274]: #22275
#22279 := [monotonicity #22276]: #22278
#22284 := [trans #22279 #22282]: #22283
#22287 := [monotonicity #22284]: #22286
#22262 := (iff #18510 #22259)
#22254 := (and #22232 #22251)
#22260 := (iff #22254 #22259)
#22261 := [rewrite]: #22260
#22255 := (iff #18510 #22254)
#22252 := (iff #15809 #22251)
#22249 := (iff #15804 #22246)
#22243 := (or #13454 #13468 #20120)
#22247 := (iff #22243 #22246)
#22248 := [rewrite]: #22247
#22244 := (iff #15804 #22243)
#22245 := [monotonicity #20130]: #22244
#22250 := [trans #22245 #22248]: #22249
#22253 := [quant-intro #22250]: #22252
#22241 := (iff #18500 #22232)
#22236 := (not #22233)
#22239 := (iff #22236 #22232)
#22240 := [rewrite]: #22239
#22237 := (iff #18500 #22236)
#22234 := (iff #13497 #22233)
#22235 := [rewrite]: #22234
#22238 := [monotonicity #22235]: #22237
#22242 := [trans #22238 #22240]: #22241
#22256 := [monotonicity #22242 #22253]: #22255
#22263 := [trans #22256 #22261]: #22262
#22290 := [monotonicity #22263 #22287]: #22289
#22293 := [monotonicity #22290]: #22292
#22300 := [trans #22293 #22298]: #22299
#22303 := [monotonicity #22300]: #22302
#22306 := [monotonicity #22303]: #22305
#22315 := [trans #22306 #22313]: #22314
#22318 := [monotonicity #22315]: #22317
#22358 := [monotonicity #22318]: #22357
#22364 := [trans #22358 #22362]: #22363
#22354 := (iff #18881 #22351)
#22345 := (and #13409 #13412 #13603 #22342)
#22352 := (iff #22345 #22351)
#22353 := [rewrite]: #22352
#22346 := (iff #18881 #22345)
#22343 := (iff #18875 #22342)
#22340 := (iff #18870 #22337)
#22332 := (and #12345 #12348 #22329)
#22338 := (iff #22332 #22337)
#22339 := [rewrite]: #22338
#22333 := (iff #18870 #22332)
#22330 := (iff #18864 #22329)
#22327 := (iff #18859 #22324)
#22319 := (and #3194 #3196 #12345 #12354 #12360 #12365 #12368 #13412 #13421 #22316)
#22325 := (iff #22319 #22324)
#22326 := [rewrite]: #22325
#22320 := (iff #18859 #22319)
#22321 := [monotonicity #22318]: #22320
#22328 := [trans #22321 #22326]: #22327
#22331 := [monotonicity #22328]: #22330
#22334 := [monotonicity #22331]: #22333
#22341 := [trans #22334 #22339]: #22340
#22344 := [monotonicity #22341]: #22343
#22347 := [monotonicity #22344]: #22346
#22355 := [trans #22347 #22353]: #22354
#22367 := [monotonicity #22355 #22364]: #22366
#22370 := [monotonicity #22367]: #22369
#22377 := [trans #22370 #22375]: #22376
#22380 := [monotonicity #22377]: #22379
#22383 := [monotonicity #22380]: #22382
#22390 := [trans #22383 #22388]: #22389
#22393 := [monotonicity #22390]: #22392
#22396 := [monotonicity #22393]: #22395
#22403 := [trans #22396 #22401]: #22402
#22480 := [monotonicity #22403 #22477]: #22479
#22229 := (iff #15735 #22228)
#22226 := (iff #15730 #22223)
#22220 := (or #13890 #13904 #20120)
#22224 := (iff #22220 #22223)
#22225 := [rewrite]: #22224
#22221 := (iff #15730 #22220)
#22222 := [monotonicity #20130]: #22221
#22227 := [trans #22222 #22225]: #22226
#22230 := [quant-intro #22227]: #22229
#22483 := [monotonicity #22230 #22480]: #22482
#22499 := [trans #22483 #22497]: #22498
#22502 := [monotonicity #22499]: #22501
#22218 := (iff #15721 #22217)
#22215 := (iff #15716 #22212)
#22209 := (or #13371 #13383 #20120)
#22213 := (iff #22209 #22212)
#22214 := [rewrite]: #22213
#22210 := (iff #15716 #22209)
#22211 := [monotonicity #20130]: #22210
#22216 := [trans #22211 #22214]: #22215
#22219 := [quant-intro #22216]: #22218
#22505 := [monotonicity #22219 #22502]: #22504
#22513 := [trans #22505 #22511]: #22512
#22207 := (iff #18734 #22206)
#22204 := (iff #18729 #22201)
#22187 := (or #22185 #22186)
#22198 := (or #18355 #18356 #22187)
#22202 := (iff #22198 #22201)
#22203 := [rewrite]: #22202
#22199 := (iff #18729 #22198)
#22196 := (iff #18723 #22187)
#22188 := (not #22187)
#22191 := (not #22188)
#22194 := (iff #22191 #22187)
#22195 := [rewrite]: #22194
#22192 := (iff #18723 #22191)
#22189 := (iff #18720 #22188)
#22190 := [rewrite]: #22189
#22193 := [monotonicity #22190]: #22192
#22197 := [trans #22193 #22195]: #22196
#22200 := [monotonicity #22197]: #22199
#22205 := [trans #22200 #22203]: #22204
#22208 := [monotonicity #22205]: #22207
#22516 := [monotonicity #22208 #22513]: #22515
#22519 := [monotonicity #22516]: #22518
#22526 := [trans #22519 #22524]: #22525
#22529 := [monotonicity #22526]: #22528
#22532 := [monotonicity #22529]: #22531
#22539 := [trans #22532 #22537]: #22538
#22542 := [monotonicity #22539]: #22541
#22545 := [monotonicity #22542]: #22544
#22552 := [trans #22545 #22550]: #22551
#22555 := [monotonicity #22552]: #22554
#22558 := [monotonicity #22555]: #22557
#22565 := [trans #22558 #22563]: #22564
#22568 := [monotonicity #22565]: #22567
#18610 := (and #18609 #18608)
#18611 := (not #18610)
#18614 := (+ #18613 #13737)
#18615 := (<= #18614 0::int)
#18616 := (+ ?x776!15 #13338)
#18617 := (>= #18616 0::int)
#18618 := (or #18617 #18615 #18611)
#18619 := (not #18618)
#18642 := (or #18619 #18638)
#18395 := (not #13417)
#18602 := (not #12069)
#18599 := (not #12078)
#18596 := (not #12087)
#18593 := (not #12096)
#18646 := (and #18593 #18596 #18599 #18602 #18395 #13701 #18642)
#15832 := (and #13430 #15796)
#15835 := (not #15832)
#18526 := (not #15835)
#18486 := (and #18485 #18484)
#18487 := (not #18486)
#18490 := (+ #18489 #13466)
#18491 := (<= #18490 0::int)
#18492 := (+ ?x786!14 #13447)
#18493 := (>= #18492 0::int)
#18494 := (or #18493 #18491 #18487)
#18495 := (not #18494)
#18514 := (or #18495 #18510)
#18480 := (not #13451)
#18518 := (and #18480 #18514)
#18522 := (or #13451 #18518)
#18475 := (not #13518)
#18472 := (not #13443)
#18469 := (not #12469)
#18529 := (and #18469 #18472 #18475 #18522 #18526)
#18533 := (or #18463 #18466 #18529)
#18460 := (not #13426)
#18560 := (not #12653)
#18557 := (not #12662)
#18565 := (and #18557 #18560 #18395 #18460 #13609 #18533)
#18457 := (not #13552)
#18454 := (not #12515)
#18451 := (not #12524)
#18448 := (not #12567)
#18437 := (not #12576)
#18445 := (not #12549)
#18442 := (not #12558)
#18537 := (and #18442 #18445 #18437 #18448 #18451 #18454 #18457 #18460 #18533)
#18541 := (or #18425 #18434 #18537)
#18431 := (not #12588)
#18545 := (and #18431 #18541)
#18549 := (or #18425 #18428 #18545)
#18553 := (and #18395 #13603 #18549)
#18569 := (or #18553 #18565)
#18573 := (and #18437 #18395 #18569)
#18577 := (or #18425 #18434 #18573)
#18581 := (and #18431 #18577)
#18585 := (or #18425 #18428 #18581)
#18589 := (and #18395 #13698 #18585)
#18650 := (or #18589 #18646)
#15786 := (and #13952 #15781)
#15789 := (not #15786)
#18420 := (not #15789)
#15769 := (and #13409 #15764)
#15772 := (not #15769)
#18417 := (not #15772)
#15752 := (and #13930 #15747)
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#18414 := (not #15755)
#18404 := (not #13973)
#18401 := (not #13927)
#18398 := (not #13887)
#18392 := (not #13870)
#18389 := (not #15177)
#18386 := (not #12878)
#18383 := (not #12887)
#18380 := (not #12896)
#18377 := (not #12905)
#18374 := (not #12914)
#18654 := (and #18374 #18377 #18380 #18383 #18386 #18389 #18392 #18395 #18398 #18401 #18404 #15735 #18414 #18417 #18420 #18650)
#18658 := (or #13149 #14130 #18654)
#18662 := (and #15721 #18658)
#18349 := (and #18348 #18347)
#18350 := (not #18349)
#18357 := (or #18356 #18355 #18350)
#18358 := (not #18357)
#18666 := (or #18358 #18662)
#18343 := (not #13368)
#18670 := (and #18343 #18666)
#18674 := (or #13368 #18670)
#18338 := (not #13158)
#18335 := (not #13122)
#18332 := (not #13131)
#18329 := (not #13140)
#18326 := (not #13149)
#18678 := (and #18326 #18329 #18332 #18335 #18338 #18674)
#18682 := (or #18314 #18323 #18678)
#18320 := (not #13170)
#18686 := (and #18320 #18682)
#18690 := (or #18314 #18317 #18686)
#18311 := (not #13182)
#18694 := (and #18311 #18690)
#18698 := (or #13182 #18694)
#19045 := (iff #18698 #19044)
#19042 := (iff #18694 #19041)
#19039 := (iff #18690 #19038)
#19036 := (iff #18686 #19033)
#19030 := (and #11937 #19027)
#19034 := (iff #19030 #19033)
#19035 := [rewrite]: #19034
#19031 := (iff #18686 #19030)
#19028 := (iff #18682 #19027)
#19025 := (iff #18678 #19022)
#19019 := (and #3027 #3030 #3033 #3036 #11943 #19016)
#19023 := (iff #19019 #19022)
#19024 := [rewrite]: #19023
#19020 := (iff #18678 #19019)
#19017 := (iff #18674 #19016)
#19014 := (iff #18670 #19013)
#19011 := (iff #18666 #19010)
#19008 := (iff #18662 #19007)
#19005 := (iff #18658 #19004)
#19002 := (iff #18654 #18999)
#18996 := (and #3169 #3170 #3171 #3172 #3175 #12000 #12306 #13414 #13882 #13924 #13968 #15735 #15752 #15769 #15786 #18993)
#19000 := (iff #18996 #18999)
#19001 := [rewrite]: #19000
#18997 := (iff #18654 #18996)
#18994 := (iff #18650 #18993)
#18991 := (iff #18646 #18988)
#18985 := (and #12011 #12014 #12017 #12020 #13414 #13697 #18980)
#18989 := (iff #18985 #18988)
#18990 := [rewrite]: #18989
#18986 := (iff #18646 #18985)
#18983 := (iff #18642 #18980)
#18977 := (or #18974 #18638)
#18981 := (iff #18977 #18980)
#18982 := [rewrite]: #18981
#18978 := (iff #18642 #18977)
#18975 := (iff #18619 #18974)
#18972 := (iff #18618 #18971)
#18969 := (iff #18611 #18968)
#18966 := (iff #18610 #18965)
#18967 := [rewrite]: #18966
#18970 := [monotonicity #18967]: #18969
#18963 := (iff #18615 #18960)
#18952 := (+ #13737 #18613)
#18955 := (<= #18952 0::int)
#18961 := (iff #18955 #18960)
#18962 := [rewrite]: #18961
#18956 := (iff #18615 #18955)
#18953 := (= #18614 #18952)
#18954 := [rewrite]: #18953
#18957 := [monotonicity #18954]: #18956
#18964 := [trans #18957 #18962]: #18963
#18950 := (iff #18617 #18947)
#18939 := (+ #13338 ?x776!15)
#18942 := (>= #18939 0::int)
#18948 := (iff #18942 #18947)
#18949 := [rewrite]: #18948
#18943 := (iff #18617 #18942)
#18940 := (= #18616 #18939)
#18941 := [rewrite]: #18940
#18944 := [monotonicity #18941]: #18943
#18951 := [trans #18944 #18949]: #18950
#18973 := [monotonicity #18951 #18964 #18970]: #18972
#18976 := [monotonicity #18973]: #18975
#18979 := [monotonicity #18976]: #18978
#18984 := [trans #18979 #18982]: #18983
#18751 := (iff #18395 #13414)
#18752 := [rewrite]: #18751
#18937 := (iff #18602 #12020)
#18938 := [rewrite]: #18937
#18935 := (iff #18599 #12017)
#18936 := [rewrite]: #18935
#18933 := (iff #18596 #12014)
#18934 := [rewrite]: #18933
#18931 := (iff #18593 #12011)
#18932 := [rewrite]: #18931
#18987 := [monotonicity #18932 #18934 #18936 #18938 #18752 #13705 #18984]: #18986
#18992 := [trans #18987 #18990]: #18991
#18929 := (iff #18589 #18926)
#18923 := (and #13414 #13698 #18920)
#18927 := (iff #18923 #18926)
#18928 := [rewrite]: #18927
#18924 := (iff #18589 #18923)
#18921 := (iff #18585 #18920)
#18918 := (iff #18581 #18915)
#18912 := (and #12351 #18909)
#18916 := (iff #18912 #18915)
#18917 := [rewrite]: #18916
#18913 := (iff #18581 #18912)
#18910 := (iff #18577 #18909)
#18907 := (iff #18573 #18904)
#18901 := (and #12357 #13414 #18898)
#18905 := (iff #18901 #18904)
#18906 := [rewrite]: #18905
#18902 := (iff #18573 #18901)
#18899 := (iff #18569 #18898)
#18896 := (iff #18565 #18893)
#18890 := (and #12644 #12647 #13414 #13423 #13604 #18853)
#18894 := (iff #18890 #18893)
#18895 := [rewrite]: #18894
#18891 := (iff #18565 #18890)
#18854 := (iff #18533 #18853)
#18851 := (iff #18529 #18848)
#18845 := (and #3211 #13440 #13514 #18840 #15832)
#18849 := (iff #18845 #18848)
#18850 := [rewrite]: #18849
#18846 := (iff #18529 #18845)
#18843 := (iff #18526 #15832)
#18844 := [rewrite]: #18843
#18841 := (iff #18522 #18840)
#18838 := (iff #18518 #18837)
#18835 := (iff #18514 #18832)
#18829 := (or #18826 #18510)
#18833 := (iff #18829 #18832)
#18834 := [rewrite]: #18833
#18830 := (iff #18514 #18829)
#18827 := (iff #18495 #18826)
#18824 := (iff #18494 #18823)
#18821 := (iff #18487 #18820)
#18818 := (iff #18486 #18817)
#18819 := [rewrite]: #18818
#18822 := [monotonicity #18819]: #18821
#18815 := (iff #18491 #18812)
#18804 := (+ #13466 #18489)
#18807 := (<= #18804 0::int)
#18813 := (iff #18807 #18812)
#18814 := [rewrite]: #18813
#18808 := (iff #18491 #18807)
#18805 := (= #18490 #18804)
#18806 := [rewrite]: #18805
#18809 := [monotonicity #18806]: #18808
#18816 := [trans #18809 #18814]: #18815
#18802 := (iff #18493 #18799)
#18791 := (+ #13447 ?x786!14)
#18794 := (>= #18791 0::int)
#18800 := (iff #18794 #18799)
#18801 := [rewrite]: #18800
#18795 := (iff #18493 #18794)
#18792 := (= #18492 #18791)
#18793 := [rewrite]: #18792
#18796 := [monotonicity #18793]: #18795
#18803 := [trans #18796 #18801]: #18802
#18825 := [monotonicity #18803 #18816 #18822]: #18824
#18828 := [monotonicity #18825]: #18827
#18831 := [monotonicity #18828]: #18830
#18836 := [trans #18831 #18834]: #18835
#18789 := (iff #18480 #13446)
#18790 := [rewrite]: #18789
#18839 := [monotonicity #18790 #18836]: #18838
#18842 := [monotonicity #18839]: #18841
#18787 := (iff #18475 #13514)
#18788 := [rewrite]: #18787
#18785 := (iff #18472 #13440)
#18786 := [rewrite]: #18785
#18783 := (iff #18469 #3211)
#18784 := [rewrite]: #18783
#18847 := [monotonicity #18784 #18786 #18788 #18842 #18844]: #18846
#18852 := [trans #18847 #18850]: #18851
#18855 := [monotonicity #18852]: #18854
#18781 := (iff #18460 #13423)
#18782 := [rewrite]: #18781
#18888 := (iff #18560 #12647)
#18889 := [rewrite]: #18888
#18886 := (iff #18557 #12644)
#18887 := [rewrite]: #18886
#18892 := [monotonicity #18887 #18889 #18752 #18782 #13613 #18855]: #18891
#18897 := [trans #18892 #18895]: #18896
#18884 := (iff #18553 #18881)
#18878 := (and #13414 #13603 #18875)
#18882 := (iff #18878 #18881)
#18883 := [rewrite]: #18882
#18879 := (iff #18553 #18878)
#18876 := (iff #18549 #18875)
#18873 := (iff #18545 #18870)
#18867 := (and #12351 #18864)
#18871 := (iff #18867 #18870)
#18872 := [rewrite]: #18871
#18868 := (iff #18545 #18867)
#18865 := (iff #18541 #18864)
#18862 := (iff #18537 #18859)
#18856 := (and #3194 #3196 #12357 #12360 #12365 #12368 #13412 #13423 #18853)
#18860 := (iff #18856 #18859)
#18861 := [rewrite]: #18860
#18857 := (iff #18537 #18856)
#18779 := (iff #18457 #13412)
#18780 := [rewrite]: #18779
#18777 := (iff #18454 #12368)
#18778 := [rewrite]: #18777
#18775 := (iff #18451 #12365)
#18776 := [rewrite]: #18775
#18773 := (iff #18448 #12360)
#18774 := [rewrite]: #18773
#18767 := (iff #18437 #12357)
#18768 := [rewrite]: #18767
#18771 := (iff #18445 #3196)
#18772 := [rewrite]: #18771
#18769 := (iff #18442 #3194)
#18770 := [rewrite]: #18769
#18858 := [monotonicity #18770 #18772 #18768 #18774 #18776 #18778 #18780 #18782 #18855]: #18857
#18863 := [trans #18858 #18861]: #18862
#18866 := [monotonicity #18863]: #18865
#18765 := (iff #18431 #12351)
#18766 := [rewrite]: #18765
#18869 := [monotonicity #18766 #18866]: #18868
#18874 := [trans #18869 #18872]: #18873
#18877 := [monotonicity #18874]: #18876
#18880 := [monotonicity #18752 #18877]: #18879
#18885 := [trans #18880 #18883]: #18884
#18900 := [monotonicity #18885 #18897]: #18899
#18903 := [monotonicity #18768 #18752 #18900]: #18902
#18908 := [trans #18903 #18906]: #18907
#18911 := [monotonicity #18908]: #18910
#18914 := [monotonicity #18766 #18911]: #18913
#18919 := [trans #18914 #18917]: #18918
#18922 := [monotonicity #18919]: #18921
#18925 := [monotonicity #18752 #18922]: #18924
#18930 := [trans #18925 #18928]: #18929
#18995 := [monotonicity #18930 #18992]: #18994
#18763 := (iff #18420 #15786)
#18764 := [rewrite]: #18763
#18761 := (iff #18417 #15769)
#18762 := [rewrite]: #18761
#18759 := (iff #18414 #15752)
#18760 := [rewrite]: #18759
#18757 := (iff #18404 #13968)
#18758 := [rewrite]: #18757
#18755 := (iff #18401 #13924)
#18756 := [rewrite]: #18755
#18753 := (iff #18398 #13882)
#18754 := [rewrite]: #18753
#18749 := (iff #18392 #12306)
#18750 := [rewrite]: #18749
#18747 := (iff #18389 #12000)
#18748 := [rewrite]: #18747
#18745 := (iff #18386 #3175)
#18746 := [rewrite]: #18745
#18743 := (iff #18383 #3172)
#18744 := [rewrite]: #18743
#18741 := (iff #18380 #3171)
#18742 := [rewrite]: #18741
#18739 := (iff #18377 #3170)
#18740 := [rewrite]: #18739
#18737 := (iff #18374 #3169)
#18738 := [rewrite]: #18737
#18998 := [monotonicity #18738 #18740 #18742 #18744 #18746 #18748 #18750 #18752 #18754 #18756 #18758 #18760 #18762 #18764 #18995]: #18997
#19003 := [trans #18998 #19001]: #19002
#19006 := [monotonicity #14134 #19003]: #19005
#19009 := [monotonicity #19006]: #19008
#18735 := (iff #18358 #18734)
#18732 := (iff #18357 #18729)
#18726 := (or #18356 #18355 #18723)
#18730 := (iff #18726 #18729)
#18731 := [rewrite]: #18730
#18727 := (iff #18357 #18726)
#18724 := (iff #18350 #18723)
#18721 := (iff #18349 #18720)
#18722 := [rewrite]: #18721
#18725 := [monotonicity #18722]: #18724
#18728 := [monotonicity #18725]: #18727
#18733 := [trans #18728 #18731]: #18732
#18736 := [monotonicity #18733]: #18735
#19012 := [monotonicity #18736 #19009]: #19011
#18718 := (iff #18343 #13365)
#18719 := [rewrite]: #18718
#19015 := [monotonicity #18719 #19012]: #19014
#19018 := [monotonicity #19015]: #19017
#18716 := (iff #18338 #11943)
#18717 := [rewrite]: #18716
#18714 := (iff #18335 #3036)
#18715 := [rewrite]: #18714
#18712 := (iff #18332 #3033)
#18713 := [rewrite]: #18712
#18710 := (iff #18329 #3030)
#18711 := [rewrite]: #18710
#18708 := (iff #18326 #3027)
#18709 := [rewrite]: #18708
#19021 := [monotonicity #18709 #18711 #18713 #18715 #18717 #19018]: #19020
#19026 := [trans #19021 #19024]: #19025
#19029 := [monotonicity #19026]: #19028
#18706 := (iff #18320 #11937)
#18707 := [rewrite]: #18706
#19032 := [monotonicity #18707 #19029]: #19031
#19037 := [trans #19032 #19035]: #19036
#19040 := [monotonicity #19037]: #19039
#18704 := (iff #18311 #11928)
#18705 := [rewrite]: #18704
#19043 := [monotonicity #18705 #19040]: #19042
#19046 := [monotonicity #19043]: #19045
#15922 := (exists (vars (?x778 int)) #15917)
#15911 := (not #15908)
#15925 := (or #15911 #15922)
#15928 := (and #15908 #15925)
#15931 := (or #12096 #12087 #12078 #12069 #13417 #13698 #15928)
#15812 := (not #15809)
#15818 := (or #13497 #15812)
#15823 := (and #15809 #15818)
#15826 := (or #13451 #15823)
#15829 := (and #13446 #15826)
#15841 := (or #12469 #13443 #13518 #15829 #15835)
#15846 := (and #13430 #15796 #15841)
#15872 := (or #12662 #12653 #13417 #13426 #13603 #15846)
#15849 := (or #12558 #12549 #12576 #12567 #12524 #12515 #13552 #13426 #15846)
#15852 := (and #12345 #12354 #15849)
#15855 := (or #12588 #15852)
#15858 := (and #12345 #12348 #15855)
#15864 := (or #13417 #13604 #15858)
#15877 := (and #15864 #15872)
#15880 := (or #12576 #13417 #15877)
#15883 := (and #12345 #12354 #15880)
#15886 := (or #12588 #15883)
#15889 := (and #12345 #12348 #15886)
#15895 := (or #13417 #13697 #15889)
#15934 := (and #15895 #15931)
#15738 := (not #15735)
#15940 := (or #12914 #12905 #12896 #12887 #12878 #15177 #13870 #13417 #13887 #13927 #13973 #15738 #15755 #15772 #15789 #15934)
#15945 := (and #3027 #13405 #15940)
#15724 := (not #15721)
#15948 := (or #15724 #15945)
#15951 := (and #15721 #15948)
#15954 := (or #13368 #15951)
#15957 := (and #13365 #15954)
#15960 := (or #13149 #13140 #13131 #13122 #13158 #15957)
#15963 := (and #11931 #11940 #15960)
#15966 := (or #13170 #15963)
#15969 := (and #11931 #11934 #15966)
#15972 := (or #13182 #15969)
#15975 := (and #11928 #15972)
#15978 := (not #15975)
#18699 := (~ #15978 #18698)
#18695 := (not #15972)
#18696 := (~ #18695 #18694)
#18691 := (not #15969)
#18692 := (~ #18691 #18690)
#18687 := (not #15966)
#18688 := (~ #18687 #18686)
#18683 := (not #15963)
#18684 := (~ #18683 #18682)
#18679 := (not #15960)
#18680 := (~ #18679 #18678)
#18675 := (not #15957)
#18676 := (~ #18675 #18674)
#18671 := (not #15954)
#18672 := (~ #18671 #18670)
#18667 := (not #15951)
#18668 := (~ #18667 #18666)
#18663 := (not #15948)
#18664 := (~ #18663 #18662)
#18659 := (not #15945)
#18660 := (~ #18659 #18658)
#18655 := (not #15940)
#18656 := (~ #18655 #18654)
#18651 := (not #15934)
#18652 := (~ #18651 #18650)
#18647 := (not #15931)
#18648 := (~ #18647 #18646)
#18643 := (not #15928)
#18644 := (~ #18643 #18642)
#18639 := (not #15925)
#18640 := (~ #18639 #18638)
#18635 := (not #15922)
#18636 := (~ #18635 #18634)
#18632 := (~ #18631 #18631)
#18633 := [refl]: #18632
#18637 := [nnf-neg #18633]: #18636
#18628 := (not #15911)
#18629 := (~ #18628 #15908)
#18626 := (~ #15908 #15908)
#18624 := (~ #15903 #15903)
#18625 := [refl]: #18624
#18627 := [nnf-pos #18625]: #18626
#18630 := [nnf-neg #18627]: #18629
#18641 := [nnf-neg #18630 #18637]: #18640
#18620 := (~ #15911 #18619)
#18621 := [sk]: #18620
#18645 := [nnf-neg #18621 #18641]: #18644
#18605 := (~ #13701 #13701)
#18606 := [refl]: #18605
#18396 := (~ #18395 #18395)
#18397 := [refl]: #18396
#18603 := (~ #18602 #18602)
#18604 := [refl]: #18603
#18600 := (~ #18599 #18599)
#18601 := [refl]: #18600
#18597 := (~ #18596 #18596)
#18598 := [refl]: #18597
#18594 := (~ #18593 #18593)
#18595 := [refl]: #18594
#18649 := [nnf-neg #18595 #18598 #18601 #18604 #18397 #18606 #18645]: #18648
#18590 := (not #15895)
#18591 := (~ #18590 #18589)
#18586 := (not #15889)
#18587 := (~ #18586 #18585)
#18582 := (not #15886)
#18583 := (~ #18582 #18581)
#18578 := (not #15883)
#18579 := (~ #18578 #18577)
#18574 := (not #15880)
#18575 := (~ #18574 #18573)
#18570 := (not #15877)
#18571 := (~ #18570 #18569)
#18566 := (not #15872)
#18567 := (~ #18566 #18565)
#18534 := (not #15846)
#18535 := (~ #18534 #18533)
#18530 := (not #15841)
#18531 := (~ #18530 #18529)
#18527 := (~ #18526 #18526)
#18528 := [refl]: #18527
#18523 := (not #15829)
#18524 := (~ #18523 #18522)
#18519 := (not #15826)
#18520 := (~ #18519 #18518)
#18515 := (not #15823)
#18516 := (~ #18515 #18514)
#18511 := (not #15818)
#18512 := (~ #18511 #18510)
#18507 := (not #15812)
#18508 := (~ #18507 #15809)
#18505 := (~ #15809 #15809)
#18503 := (~ #15804 #15804)
#18504 := [refl]: #18503
#18506 := [nnf-pos #18504]: #18505
#18509 := [nnf-neg #18506]: #18508
#18501 := (~ #18500 #18500)
#18502 := [refl]: #18501
#18513 := [nnf-neg #18502 #18509]: #18512
#18496 := (~ #15812 #18495)
#18497 := [sk]: #18496
#18517 := [nnf-neg #18497 #18513]: #18516
#18481 := (~ #18480 #18480)
#18482 := [refl]: #18481
#18521 := [nnf-neg #18482 #18517]: #18520
#18478 := (~ #13451 #13451)
#18479 := [refl]: #18478
#18525 := [nnf-neg #18479 #18521]: #18524
#18476 := (~ #18475 #18475)
#18477 := [refl]: #18476
#18473 := (~ #18472 #18472)
#18474 := [refl]: #18473
#18470 := (~ #18469 #18469)
#18471 := [refl]: #18470
#18532 := [nnf-neg #18471 #18474 #18477 #18525 #18528]: #18531
#18467 := (~ #18466 #18466)
#18468 := [refl]: #18467
#18464 := (~ #18463 #18463)
#18465 := [refl]: #18464
#18536 := [nnf-neg #18465 #18468 #18532]: #18535
#18563 := (~ #13609 #13609)
#18564 := [refl]: #18563
#18461 := (~ #18460 #18460)
#18462 := [refl]: #18461
#18561 := (~ #18560 #18560)
#18562 := [refl]: #18561
#18558 := (~ #18557 #18557)
#18559 := [refl]: #18558
#18568 := [nnf-neg #18559 #18562 #18397 #18462 #18564 #18536]: #18567
#18554 := (not #15864)
#18555 := (~ #18554 #18553)
#18550 := (not #15858)
#18551 := (~ #18550 #18549)
#18546 := (not #15855)
#18547 := (~ #18546 #18545)
#18542 := (not #15852)
#18543 := (~ #18542 #18541)
#18538 := (not #15849)
#18539 := (~ #18538 #18537)
#18458 := (~ #18457 #18457)
#18459 := [refl]: #18458
#18455 := (~ #18454 #18454)
#18456 := [refl]: #18455
#18452 := (~ #18451 #18451)
#18453 := [refl]: #18452
#18449 := (~ #18448 #18448)
#18450 := [refl]: #18449
#18438 := (~ #18437 #18437)
#18439 := [refl]: #18438
#18446 := (~ #18445 #18445)
#18447 := [refl]: #18446
#18443 := (~ #18442 #18442)
#18444 := [refl]: #18443
#18540 := [nnf-neg #18444 #18447 #18439 #18450 #18453 #18456 #18459 #18462 #18536]: #18539
#18435 := (~ #18434 #18434)
#18436 := [refl]: #18435
#18426 := (~ #18425 #18425)
#18427 := [refl]: #18426
#18544 := [nnf-neg #18427 #18436 #18540]: #18543
#18432 := (~ #18431 #18431)
#18433 := [refl]: #18432
#18548 := [nnf-neg #18433 #18544]: #18547
#18429 := (~ #18428 #18428)
#18430 := [refl]: #18429
#18552 := [nnf-neg #18427 #18430 #18548]: #18551
#18440 := (~ #13603 #13603)
#18441 := [refl]: #18440
#18556 := [nnf-neg #18397 #18441 #18552]: #18555
#18572 := [nnf-neg #18556 #18568]: #18571
#18576 := [nnf-neg #18439 #18397 #18572]: #18575
#18580 := [nnf-neg #18427 #18436 #18576]: #18579
#18584 := [nnf-neg #18433 #18580]: #18583
#18588 := [nnf-neg #18427 #18430 #18584]: #18587
#18423 := (~ #13698 #13698)
#18424 := [refl]: #18423
#18592 := [nnf-neg #18397 #18424 #18588]: #18591
#18653 := [nnf-neg #18592 #18649]: #18652
#18421 := (~ #18420 #18420)
#18422 := [refl]: #18421
#18418 := (~ #18417 #18417)
#18419 := [refl]: #18418
#18415 := (~ #18414 #18414)
#18416 := [refl]: #18415
#18411 := (not #15738)
#18412 := (~ #18411 #15735)
#18409 := (~ #15735 #15735)
#18407 := (~ #15730 #15730)
#18408 := [refl]: #18407
#18410 := [nnf-pos #18408]: #18409
#18413 := [nnf-neg #18410]: #18412
#18405 := (~ #18404 #18404)
#18406 := [refl]: #18405
#18402 := (~ #18401 #18401)
#18403 := [refl]: #18402
#18399 := (~ #18398 #18398)
#18400 := [refl]: #18399
#18393 := (~ #18392 #18392)
#18394 := [refl]: #18393
#18390 := (~ #18389 #18389)
#18391 := [refl]: #18390
#18387 := (~ #18386 #18386)
#18388 := [refl]: #18387
#18384 := (~ #18383 #18383)
#18385 := [refl]: #18384
#18381 := (~ #18380 #18380)
#18382 := [refl]: #18381
#18378 := (~ #18377 #18377)
#18379 := [refl]: #18378
#18375 := (~ #18374 #18374)
#18376 := [refl]: #18375
#18657 := [nnf-neg #18376 #18379 #18382 #18385 #18388 #18391 #18394 #18397 #18400 #18403 #18406 #18413 #18416 #18419 #18422 #18653]: #18656
#18372 := (~ #14130 #14130)
#18373 := [refl]: #18372
#18370 := (~ #13149 #13149)
#18371 := [refl]: #18370
#18661 := [nnf-neg #18371 #18373 #18657]: #18660
#18367 := (not #15724)
#18368 := (~ #18367 #15721)
#18365 := (~ #15721 #15721)
#18363 := (~ #15716 #15716)
#18364 := [refl]: #18363
#18366 := [nnf-pos #18364]: #18365
#18369 := [nnf-neg #18366]: #18368
#18665 := [nnf-neg #18369 #18661]: #18664
#18359 := (~ #15724 #18358)
#18360 := [sk]: #18359
#18669 := [nnf-neg #18360 #18665]: #18668
#18344 := (~ #18343 #18343)
#18345 := [refl]: #18344
#18673 := [nnf-neg #18345 #18669]: #18672
#18341 := (~ #13368 #13368)
#18342 := [refl]: #18341
#18677 := [nnf-neg #18342 #18673]: #18676
#18339 := (~ #18338 #18338)
#18340 := [refl]: #18339
#18336 := (~ #18335 #18335)
#18337 := [refl]: #18336
#18333 := (~ #18332 #18332)
#18334 := [refl]: #18333
#18330 := (~ #18329 #18329)
#18331 := [refl]: #18330
#18327 := (~ #18326 #18326)
#18328 := [refl]: #18327
#18681 := [nnf-neg #18328 #18331 #18334 #18337 #18340 #18677]: #18680
#18324 := (~ #18323 #18323)
#18325 := [refl]: #18324
#18315 := (~ #18314 #18314)
#18316 := [refl]: #18315
#18685 := [nnf-neg #18316 #18325 #18681]: #18684
#18321 := (~ #18320 #18320)
#18322 := [refl]: #18321
#18689 := [nnf-neg #18322 #18685]: #18688
#18318 := (~ #18317 #18317)
#18319 := [refl]: #18318
#18693 := [nnf-neg #18316 #18319 #18689]: #18692
#18312 := (~ #18311 #18311)
#18313 := [refl]: #18312
#18697 := [nnf-neg #18313 #18693]: #18696
#18309 := (~ #13182 #13182)
#18310 := [refl]: #18309
#18700 := [nnf-neg #18310 #18697]: #18699
#15202 := (or #12096 #12087 #12078 #12069 #13417 #13698 #13784)
#15207 := (and #13720 #15202)
#15213 := (or #12914 #12905 #12896 #12887 #12878 #15177 #13870 #13417 #13887 #13921 #13927 #13939 #13949 #13962 #13973 #15207)
#15218 := (and #3027 #13405 #15213)
#15221 := (or #13401 #15218)
#15224 := (and #13398 #15221)
#15227 := (or #13368 #15224)
#15230 := (and #13365 #15227)
#15233 := (or #13149 #13140 #13131 #13122 #13158 #15230)
#15236 := (and #11931 #11940 #15233)
#15239 := (or #13170 #15236)
#15242 := (and #11931 #11934 #15239)
#15245 := (or #13182 #15242)
#15248 := (and #11928 #15245)
#15251 := (not #15248)
#15979 := (iff #15251 #15978)
#15976 := (iff #15248 #15975)
#15973 := (iff #15245 #15972)
#15970 := (iff #15242 #15969)
#15967 := (iff #15239 #15966)
#15964 := (iff #15236 #15963)
#15961 := (iff #15233 #15960)
#15958 := (iff #15230 #15957)
#15955 := (iff #15227 #15954)
#15952 := (iff #15224 #15951)
#15949 := (iff #15221 #15948)
#15946 := (iff #15218 #15945)
#15943 := (iff #15213 #15940)
#15937 := (or #12914 #12905 #12896 #12887 #12878 #15177 #13870 #13417 #13887 #15738 #13927 #15755 #15772 #15789 #13973 #15934)
#15941 := (iff #15937 #15940)
#15942 := [rewrite]: #15941
#15938 := (iff #15213 #15937)
#15935 := (iff #15207 #15934)
#15932 := (iff #15202 #15931)
#15929 := (iff #13784 #15928)
#15926 := (iff #13779 #15925)
#15923 := (iff #13770 #15922)
#15920 := (iff #13765 #15917)
#15914 := (and #3095 #4065 #15097 #13727)
#15918 := (iff #15914 #15917)
#15919 := [rewrite]: #15918
#15915 := (iff #13765 #15914)
#15092 := (iff #4379 #15097)
#15113 := -4294967295::int
#15105 := (+ -4294967295::int #161)
#15098 := (<= #15105 0::int)
#15094 := (iff #15098 #15097)
#15095 := [rewrite]: #15094
#15099 := (iff #4379 #15098)
#15100 := (= #4378 #15105)
#15106 := (+ #161 -4294967295::int)
#15102 := (= #15106 #15105)
#15103 := [rewrite]: #15102
#15107 := (= #4378 #15106)
#15108 := (= #4377 -4294967295::int)
#15114 := (* -1::int 4294967295::int)
#15110 := (= #15114 -4294967295::int)
#15111 := [rewrite]: #15110
#15115 := (= #4377 #15114)
#7500 := (= uf_76 4294967295::int)
#947 := 65536::int
#1322 := (* 65536::int 65536::int)
#1327 := (- #1322 1::int)
#1328 := (= uf_76 #1327)
#7501 := (iff #1328 #7500)
#7498 := (= #1327 4294967295::int)
#1010 := 4294967296::int
#7491 := (- 4294967296::int 1::int)
#7496 := (= #7491 4294967295::int)
#7497 := [rewrite]: #7496
#7493 := (= #1327 #7491)
#7462 := (= #1322 4294967296::int)
#7463 := [rewrite]: #7462
#7494 := [monotonicity #7463]: #7493
#7499 := [trans #7494 #7497]: #7498
#7502 := [monotonicity #7499]: #7501
#7490 := [asserted]: #1328
#7505 := [mp #7490 #7502]: #7500
#15112 := [monotonicity #7505]: #15115
#15109 := [trans #15112 #15111]: #15108
#15104 := [monotonicity #15109]: #15107
#15101 := [trans #15104 #15103]: #15100
#15096 := [monotonicity #15101]: #15099
#15093 := [trans #15096 #15095]: #15092
#15916 := [monotonicity #15093]: #15915
#15921 := [trans #15916 #15919]: #15920
#15924 := [quant-intro #15921]: #15923
#15912 := (iff #13773 #15911)
#15909 := (iff #13753 #15908)
#15906 := (iff #13748 #15903)
#15900 := (or #14339 #13725 #13739)
#15904 := (iff #15900 #15903)
#15905 := [rewrite]: #15904
#15901 := (iff #13748 #15900)
#14336 := (iff #5601 #14339)
#14341 := (iff #4386 #14340)
#14338 := [monotonicity #15093]: #14341
#14337 := [monotonicity #14338]: #14336
#15902 := [monotonicity #14337]: #15901
#15907 := [trans #15902 #15905]: #15906
#15910 := [quant-intro #15907]: #15909
#15913 := [monotonicity #15910]: #15912
#15927 := [monotonicity #15913 #15924]: #15926
#15930 := [monotonicity #15910 #15927]: #15929
#15933 := [monotonicity #15930]: #15932
#15898 := (iff #13720 #15895)
#15892 := (or #13417 #15889 #13697)
#15896 := (iff #15892 #15895)
#15897 := [rewrite]: #15896
#15893 := (iff #13720 #15892)
#15890 := (iff #13691 #15889)
#15887 := (iff #13685 #15886)
#15884 := (iff #13680 #15883)
#15881 := (iff #13672 #15880)
#15878 := (iff #13663 #15877)
#15875 := (iff #13658 #15872)
#15869 := (or #12662 #12653 #13417 #13426 #15846 #13603)
#15873 := (iff #15869 #15872)
#15874 := [rewrite]: #15873
#15870 := (iff #13658 #15869)
#15847 := (iff #13547 #15846)
#15844 := (iff #13539 #15841)
#15838 := (or #12469 #13443 #15829 #13518 #15835)
#15842 := (iff #15838 #15841)
#15843 := [rewrite]: #15842
#15839 := (iff #13539 #15838)
#15836 := (iff #13524 #15835)
#15833 := (iff #13521 #15832)
#15799 := (iff #13432 #15796)
#15741 := (+ 4294967295::int #13433)
#15792 := (>= #15741 1::int)
#15797 := (iff #15792 #15796)
#15798 := [rewrite]: #15797
#15793 := (iff #13432 #15792)
#15742 := (= #13434 #15741)
#15743 := [monotonicity #7505]: #15742
#15794 := [monotonicity #15743]: #15793
#15800 := [trans #15794 #15798]: #15799
#15834 := [monotonicity #15800]: #15833
#15837 := [monotonicity #15834]: #15836
#15830 := (iff #13511 #15829)
#15827 := (iff #13508 #15826)
#15824 := (iff #13505 #15823)
#15821 := (iff #13502 #15818)
#15815 := (or #15812 #13497)
#15819 := (iff #15815 #15818)
#15820 := [rewrite]: #15819
#15816 := (iff #13502 #15815)
#15813 := (iff #13485 #15812)
#15810 := (iff #13482 #15809)
#15807 := (iff #13477 #15804)
#15801 := (or #14339 #13454 #13468)
#15805 := (iff #15801 #15804)
#15806 := [rewrite]: #15805
#15802 := (iff #13477 #15801)
#15803 := [monotonicity #14337]: #15802
#15808 := [trans #15803 #15806]: #15807
#15811 := [quant-intro #15808]: #15810
#15814 := [monotonicity #15811]: #15813
#15817 := [monotonicity #15814]: #15816
#15822 := [trans #15817 #15820]: #15821
#15825 := [monotonicity #15811 #15822]: #15824
#15828 := [monotonicity #15825]: #15827
#15831 := [monotonicity #15828]: #15830
#15840 := [monotonicity #15831 #15837]: #15839
#15845 := [trans #15840 #15843]: #15844
#15848 := [monotonicity #15800 #15845]: #15847
#15871 := [monotonicity #15848]: #15870
#15876 := [trans #15871 #15874]: #15875
#15867 := (iff #13628 #15864)
#15861 := (or #13417 #15858 #13604)
#15865 := (iff #15861 #15864)
#15866 := [rewrite]: #15865
#15862 := (iff #13628 #15861)
#15859 := (iff #13598 #15858)
#15856 := (iff #13592 #15855)
#15853 := (iff #13587 #15852)
#15850 := (iff #13579 #15849)
#15851 := [monotonicity #15848]: #15850
#15854 := [monotonicity #15851]: #15853
#15857 := [monotonicity #15854]: #15856
#15860 := [monotonicity #15857]: #15859
#15863 := [monotonicity #15860]: #15862
#15868 := [trans #15863 #15866]: #15867
#15879 := [monotonicity #15868 #15876]: #15878
#15882 := [monotonicity #15879]: #15881
#15885 := [monotonicity #15882]: #15884
#15888 := [monotonicity #15885]: #15887
#15891 := [monotonicity #15888]: #15890
#15894 := [monotonicity #15891]: #15893
#15899 := [trans #15894 #15897]: #15898
#15936 := [monotonicity #15899 #15933]: #15935
#15790 := (iff #13962 #15789)
#15787 := (iff #13959 #15786)
#15784 := (iff #13955 #15781)
#15775 := (+ 255::int #13902)
#15778 := (>= #15775 0::int)
#15782 := (iff #15778 #15781)
#15783 := [rewrite]: #15782
#15779 := (iff #13955 #15778)
#15776 := (= #13956 #15775)
#1332 := (= uf_78 255::int)
#7504 := [asserted]: #1332
#15777 := [monotonicity #7504]: #15776
#15780 := [monotonicity #15777]: #15779
#15785 := [trans #15780 #15783]: #15784
#15788 := [monotonicity #15785]: #15787
#15791 := [monotonicity #15788]: #15790
#15773 := (iff #13949 #15772)
#15770 := (iff #13946 #15769)
#15767 := (iff #13942 #15764)
#15758 := (+ 4294967295::int #13873)
#15761 := (>= #15758 0::int)
#15765 := (iff #15761 #15764)
#15766 := [rewrite]: #15765
#15762 := (iff #13942 #15761)
#15759 := (= #13943 #15758)
#15760 := [monotonicity #7505]: #15759
#15763 := [monotonicity #15760]: #15762
#15768 := [trans #15763 #15766]: #15767
#15771 := [monotonicity #15768]: #15770
#15774 := [monotonicity #15771]: #15773
#15756 := (iff #13939 #15755)
#15753 := (iff #13936 #15752)
#15750 := (iff #13933 #15747)
#15744 := (>= #15741 0::int)
#15748 := (iff #15744 #15747)
#15749 := [rewrite]: #15748
#15745 := (iff #13933 #15744)
#15746 := [monotonicity #15743]: #15745
#15751 := [trans #15746 #15749]: #15750
#15754 := [monotonicity #15751]: #15753
#15757 := [monotonicity #15754]: #15756
#15739 := (iff #13921 #15738)
#15736 := (iff #13918 #15735)
#15733 := (iff #13913 #15730)
#15727 := (or #14339 #13890 #13904)
#15731 := (iff #15727 #15730)
#15732 := [rewrite]: #15731
#15728 := (iff #13913 #15727)
#15729 := [monotonicity #14337]: #15728
#15734 := [trans #15729 #15732]: #15733
#15737 := [quant-intro #15734]: #15736
#15740 := [monotonicity #15737]: #15739
#15939 := [monotonicity #15740 #15757 #15774 #15791 #15936]: #15938
#15944 := [trans #15939 #15942]: #15943
#15947 := [monotonicity #15944]: #15946
#15725 := (iff #13401 #15724)
#15722 := (iff #13398 #15721)
#15719 := (iff #13393 #15716)
#15713 := (or #14339 #13371 #13383)
#15717 := (iff #15713 #15716)
#15718 := [rewrite]: #15717
#15714 := (iff #13393 #15713)
#15715 := [monotonicity #14337]: #15714
#15720 := [trans #15715 #15718]: #15719
#15723 := [quant-intro #15720]: #15722
#15726 := [monotonicity #15723]: #15725
#15950 := [monotonicity #15726 #15947]: #15949
#15953 := [monotonicity #15723 #15950]: #15952
#15956 := [monotonicity #15953]: #15955
#15959 := [monotonicity #15956]: #15958
#15962 := [monotonicity #15959]: #15961
#15965 := [monotonicity #15962]: #15964
#15968 := [monotonicity #15965]: #15967
#15971 := [monotonicity #15968]: #15970
#15974 := [monotonicity #15971]: #15973
#15977 := [monotonicity #15974]: #15976
#15980 := [monotonicity #15977]: #15979
#14257 := (not #14109)
#15252 := (iff #14257 #15251)
#15249 := (iff #14109 #15248)
#15246 := (iff #14106 #15245)
#15243 := (iff #14101 #15242)
#15240 := (iff #14095 #15239)
#15237 := (iff #14090 #15236)
#15234 := (iff #14082 #15233)
#15231 := (iff #14061 #15230)
#15228 := (iff #14058 #15227)
#15225 := (iff #14055 #15224)
#15222 := (iff #14052 #15221)
#15219 := (iff #14047 #15218)
#15216 := (iff #14039 #15213)
#15210 := (or #12914 #12905 #12896 #12887 #12878 #15177 #13870 #13417 #15207 #13887 #13921 #13927 #13939 #13949 #13962 #13973)
#15214 := (iff #15210 #15213)
#15215 := [rewrite]: #15214
#15211 := (iff #14039 #15210)
#15208 := (iff #13846 #15207)
#15205 := (iff #13841 #15202)
#15187 := (or #12096 #12087 #12078 #12069 #13417 #13784)
#15199 := (or #13417 #13698 #15187)
#15203 := (iff #15199 #15202)
#15204 := [rewrite]: #15203
#15200 := (iff #13841 #15199)
#15197 := (iff #13816 #15187)
#15192 := (and true #15187)
#15195 := (iff #15192 #15187)
#15196 := [rewrite]: #15195
#15193 := (iff #13816 #15192)
#15190 := (iff #13811 #15187)
#15184 := (or false #12096 #12087 #12078 #12069 #13417 #13784)
#15188 := (iff #15184 #15187)
#15189 := [rewrite]: #15188
#15185 := (iff #13811 #15184)
#15182 := (iff #12144 false)
#15180 := (iff #12144 #3077)
#14924 := (iff up_216 true)
#10764 := [asserted]: up_216
#14925 := [iff-true #10764]: #14924
#15181 := [monotonicity #14925]: #15180
#15183 := [trans #15181 #11999]: #15182
#15186 := [monotonicity #15183]: #15185
#15191 := [trans #15186 #15189]: #15190
#15194 := [monotonicity #14925 #15191]: #15193
#15198 := [trans #15194 #15196]: #15197
#15201 := [monotonicity #15198]: #15200
#15206 := [trans #15201 #15204]: #15205
#15209 := [monotonicity #15206]: #15208
#15178 := (iff #12179 #15177)
#15175 := (iff #12006 #12000)
#15170 := (and true #12000)
#15173 := (iff #15170 #12000)
#15174 := [rewrite]: #15173
#15171 := (iff #12006 #15170)
#15160 := (iff #11908 true)
#15161 := [iff-true #14251]: #15160
#15172 := [monotonicity #15161]: #15171
#15176 := [trans #15172 #15174]: #15175
#15179 := [monotonicity #15176]: #15178
#15212 := [monotonicity #15179 #15209]: #15211
#15217 := [trans #15212 #15215]: #15216
#15220 := [monotonicity #15217]: #15219
#15223 := [monotonicity #15220]: #15222
#15226 := [monotonicity #15223]: #15225
#15229 := [monotonicity #15226]: #15228
#15232 := [monotonicity #15229]: #15231
#15235 := [monotonicity #15232]: #15234
#15238 := [monotonicity #15235]: #15237
#15241 := [monotonicity #15238]: #15240
#15244 := [monotonicity #15241]: #15243
#15247 := [monotonicity #15244]: #15246
#15250 := [monotonicity #15247]: #15249
#15253 := [monotonicity #15250]: #15252
#14258 := [not-or-elim #14242]: #14257
#15254 := [mp #14258 #15253]: #15251
#15981 := [mp #15254 #15980]: #15978
#18701 := [mp~ #15981 #18700]: #18698
#18702 := [mp #18701 #19046]: #19044
#22569 := [mp #18702 #22568]: #22566
#23436 := [mp #22569 #23435]: #23433
#27882 := [unit-resolution #23436 #25596]: #23430
#22674 := (or #23427 #23421)
#22672 := [def-axiom]: #22674
#27883 := [unit-resolution #22672 #27882]: #23421
#25774 := (uf_13 #3016)
#25775 := (= #23566 #25774)
#25748 := (uf_48 #3016 #23566)
#25749 := (= uf_9 #25748)
#25777 := (iff #25749 #25775)
#25526 := (not #25777)
#25620 := [hypothesis]: #25526
#1390 := (uf_13 #15)
#9063 := (= #233 #1390)
#11183 := (iff #9063 #11162)
#23125 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2667) #11183)
#11188 := (forall (vars (?x712 T5) (?x713 T3)) #11183)
#23128 := (iff #11188 #23125)
#23126 := (iff #11183 #11183)
#23127 := [refl]: #23126
#23129 := [quant-intro #23127]: #23128
#18156 := (~ #11188 #11188)
#18154 := (~ #11183 #11183)
#18155 := [refl]: #18154
#18157 := [nnf-pos #18155]: #18156
#1890 := (= #1390 #233)
#2673 := (iff #2668 #1890)
#2674 := (forall (vars (?x712 T5) (?x713 T3)) #2673)
#11189 := (iff #2674 #11188)
#11186 := (iff #2673 #11183)
#11179 := (iff #11162 #9063)
#11184 := (iff #11179 #11183)
#11185 := [rewrite]: #11184
#11181 := (iff #2673 #11179)
#9064 := (iff #1890 #9063)
#9065 := [rewrite]: #9064
#11182 := [monotonicity #11165 #9065]: #11181
#11187 := [trans #11182 #11185]: #11186
#11190 := [quant-intro #11187]: #11189
#11178 := [asserted]: #2674
#11193 := [mp #11178 #11190]: #11188
#18158 := [mp~ #11193 #18157]: #11188
#23130 := [mp #18158 #23129]: #23125
#24884 := (not #23125)
#25519 := (or #24884 #25777)
#25776 := (iff #25775 #25749)
#25520 := (or #24884 #25776)
#25521 := (iff #25520 #25519)
#25517 := (iff #25519 #25519)
#25523 := [rewrite]: #25517
#25778 := (iff #25776 #25777)
#25779 := [rewrite]: #25778
#25522 := [monotonicity #25779]: #25521
#25524 := [trans #25522 #25523]: #25521
#25518 := [quant-inst]: #25520
#25525 := [mp #25518 #25524]: #25519
#25621 := [unit-resolution #25525 #23130 #25620]: false
#25622 := [lemma #25621]: #25777
#25723 := (or #25526 #11931)
#25686 := [hypothesis]: #25777
#25756 := (not #25749)
#25677 := (iff #18314 #25756)
#25676 := (iff #11931 #25749)
#25673 := (iff #25749 #11931)
#25691 := (= #25748 #3017)
#25692 := [monotonicity #25690]: #25691
#25675 := [monotonicity #25692]: #25673
#25674 := [symm #25675]: #25676
#25678 := [monotonicity #25674]: #25677
#25687 := [hypothesis]: #18314
#25679 := [mp #25687 #25678]: #25756
#23681 := (uf_13 #2960)
#25743 := (= #23681 #25774)
#25739 := (= #25774 #23681)
#25737 := (= #3016 #2960)
#25714 := (= #25821 #2960)
#25703 := (= #25805 uf_274)
#25701 := (= #2961 uf_274)
#23685 := (= uf_274 #2961)
#2698 := (uf_116 #2697)
#11232 := (= #161 #2698)
#23132 := (forall (vars (?x718 T3) (?x719 int)) (:pat #23131) #11232)
#11236 := (forall (vars (?x718 T3) (?x719 int)) #11232)
#23135 := (iff #11236 #23132)
#23133 := (iff #11232 #11232)
#23134 := [refl]: #23133
#23136 := [quant-intro #23134]: #23135
#18171 := (~ #11236 #11236)
#18169 := (~ #11232 #11232)
#18170 := [refl]: #18169
#18172 := [nnf-pos #18170]: #18171
#2699 := (= #2698 #161)
#2700 := (forall (vars (?x718 T3) (?x719 int)) #2699)
#11237 := (iff #2700 #11236)
#11234 := (iff #2699 #11232)
#11235 := [rewrite]: #11234
#11238 := [quant-intro #11235]: #11237
#11231 := [asserted]: #2700
#11241 := [mp #11231 #11238]: #11236
#18173 := [mp~ #11241 #18172]: #11236
#23137 := [mp #18173 #23136]: #23132
#23639 := (not #23132)
#23690 := (or #23639 #23685)
#23691 := [quant-inst]: #23690
#25681 := [unit-resolution #23691 #23137]: #23685
#25702 := [symm #25681]: #25701
#25700 := (= #25805 #2961)
#25697 := (= #22665 #2960)
#22666 := (= #2960 #22665)
#93 := (uf_29 #23)
#23042 := (pattern #93)
#94 := (uf_28 #93)
#3564 := (= #23 #94)
#23043 := (forall (vars (?x14 T5)) (:pat #23042) #3564)
#3567 := (forall (vars (?x14 T5)) #3564)
#23044 := (iff #3567 #23043)
#23046 := (iff #23043 #23043)
#23047 := [rewrite]: #23046
#23045 := [rewrite]: #23044
#23048 := [trans #23045 #23047]: #23044
#16213 := (~ #3567 #3567)
#16203 := (~ #3564 #3564)
#16204 := [refl]: #16203
#16269 := [nnf-pos #16204]: #16213
#95 := (= #94 #23)
#96 := (forall (vars (?x14 T5)) #95)
#3568 := (iff #96 #3567)
#3565 := (iff #95 #3564)
#3566 := [rewrite]: #3565
#3569 := [quant-intro #3566]: #3568
#3563 := [asserted]: #96
#3572 := [mp #3563 #3569]: #3567
#16270 := [mp~ #3572 #16269]: #3567
#23049 := [mp #16270 #23048]: #23043
#22670 := (not #23043)
#22645 := (or #22670 #22666)
#22649 := [quant-inst]: #22645
#25682 := [unit-resolution #22649 #23049]: #22666
#25699 := [symm #25682]: #25697
#25698 := [monotonicity #25699]: #25700
#25704 := [trans #25698 #25702]: #25703
#25734 := [monotonicity #25690 #25704]: #25714
#25735 := (= #3016 #25821)
#25799 := (uf_66 #22665 0::int #23566)
#25824 := (= #25799 #25821)
#25827 := (not #25824)
decl uf_138 :: (-> T5 T5 T2)
#25800 := (uf_138 #25799 #22665)
#25801 := (= uf_9 #25800)
#25802 := (not #25801)
#25833 := (or #25802 #25827)
#25838 := (not #25833)
#247 := (:var 1 int)
#1576 := (uf_66 #21 #247 #233)
#1577 := (pattern #1576)
#1578 := (uf_138 #1576 #21)
#8244 := (= uf_9 #1578)
#21101 := (not #8244)
decl uf_139 :: (-> T3 int)
#1581 := (uf_139 #233)
#1582 := (* #247 #1581)
#1580 := (uf_116 #21)
#1583 := (+ #1580 #1582)
#1584 := (uf_43 #233 #1583)
#1585 := (= #1576 #1584)
#21100 := (not #1585)
#21102 := (or #21100 #21101)
#21103 := (not #21102)
#21106 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #21103)
#8250 := (and #1585 #8244)
#8255 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #8250)
#21107 := (iff #8255 #21106)
#21104 := (iff #8250 #21103)
#21105 := [rewrite]: #21104
#21108 := [quant-intro #21105]: #21107
#17234 := (~ #8255 #8255)
#17232 := (~ #8250 #8250)
#17233 := [refl]: #17232
#17235 := [nnf-pos #17233]: #17234
#1579 := (= #1578 uf_9)
#1586 := (and #1579 #1585)
#1587 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #1586)
#8256 := (iff #1587 #8255)
#8253 := (iff #1586 #8250)
#8247 := (and #8244 #1585)
#8251 := (iff #8247 #8250)
#8252 := [rewrite]: #8251
#8248 := (iff #1586 #8247)
#8245 := (iff #1579 #8244)
#8246 := [rewrite]: #8245
#8249 := [monotonicity #8246]: #8248
#8254 := [trans #8249 #8252]: #8253
#8257 := [quant-intro #8254]: #8256
#8243 := [asserted]: #1587
#8260 := [mp #8243 #8257]: #8255
#17236 := [mp~ #8260 #17235]: #8255
#21109 := [mp #17236 #21108]: #21106
#25566 := (not #21106)
#25567 := (or #25566 #25838)
#25803 := (uf_139 #23566)
#25804 := (* 0::int #25803)
#25806 := (+ #25805 #25804)
#25807 := (uf_43 #23566 #25806)
#25808 := (= #25799 #25807)
#25809 := (not #25808)
#25810 := (or #25809 #25802)
#25811 := (not #25810)
#25568 := (or #25566 #25811)
#25574 := (iff #25568 #25567)
#25577 := (iff #25567 #25567)
#25578 := [rewrite]: #25577
#25839 := (iff #25811 #25838)
#25836 := (iff #25810 #25833)
#25830 := (or #25827 #25802)
#25834 := (iff #25830 #25833)
#25835 := [rewrite]: #25834
#25831 := (iff #25810 #25830)
#25828 := (iff #25809 #25827)
#25825 := (iff #25808 #25824)
#25822 := (= #25807 #25821)
#25819 := (= #25806 #25805)
#25814 := (+ #25805 0::int)
#25817 := (= #25814 #25805)
#25818 := [rewrite]: #25817
#25815 := (= #25806 #25814)
#25812 := (= #25804 0::int)
#25813 := [rewrite]: #25812
#25816 := [monotonicity #25813]: #25815
#25820 := [trans #25816 #25818]: #25819
#25823 := [monotonicity #25820]: #25822
#25826 := [monotonicity #25823]: #25825
#25829 := [monotonicity #25826]: #25828
#25832 := [monotonicity #25829]: #25831
#25837 := [trans #25832 #25835]: #25836
#25840 := [monotonicity #25837]: #25839
#25576 := [monotonicity #25840]: #25574
#25579 := [trans #25576 #25578]: #25574
#25569 := [quant-inst]: #25568
#25580 := [mp #25569 #25579]: #25567
#25705 := [unit-resolution #25580 #21109]: #25838
#25582 := (or #25833 #25824)
#25583 := [def-axiom]: #25582
#25706 := [unit-resolution #25583 #25705]: #25824
#25712 := (= #3016 #25799)
#25713 := [monotonicity #25682 #25688]: #25712
#25736 := [trans #25713 #25706]: #25735
#25738 := [trans #25736 #25734]: #25737
#25740 := [monotonicity #25738]: #25739
#25724 := [symm #25740]: #25743
#25725 := (= #23566 #23681)
#23682 := (= uf_7 #23681)
#23687 := (or #23633 #23682)
#23688 := [quant-inst]: #23687
#25680 := [unit-resolution #23688 #23143]: #23682
#25726 := [trans #25690 #25680]: #25725
#25727 := [trans #25726 #25724]: #25775
#25527 := (not #25775)
#25558 := (or #25526 #25749 #25527)
#25560 := [def-axiom]: #25558
#25728 := [unit-resolution #25560 #25727 #25679 #25686]: false
#25729 := [lemma #25728]: #25723
#27884 := [unit-resolution #25729 #25622]: #11931
decl uf_15 :: (-> T5 T6 T2)
decl uf_16 :: (-> T4 T5 T6)
#25491 := (uf_16 uf_273 #24856)
#25967 := (uf_15 #25880 #25491)
#25968 := (= uf_9 #25967)
#25492 := (uf_15 #24856 #25491)
#25493 := (= uf_9 #25492)
#26002 := (or #13182 #25493)
#25873 := [monotonicity #25871 #25871]: #25872
#25947 := [symm #25873]: #25946
#25952 := [hypothesis]: #11928
#25948 := [trans #25952 #25947]: #25435
decl uf_53 :: (-> T4 T5 T6)
#25482 := (uf_53 uf_273 #24856)
#25483 := (uf_15 #23 #25482)
#25488 := (pattern #25483)
decl up_197 :: (-> T3 bool)
#25486 := (up_197 #25267)
#25484 := (= uf_9 #25483)
#25485 := (not #25484)
decl uf_147 :: (-> T5 T6 T2)
decl uf_192 :: (-> T7 T6)
decl uf_11 :: (-> T4 T5 T7)
#25478 := (uf_11 uf_273 #24856)
#25479 := (uf_192 #25478)
#25480 := (uf_147 #23 #25479)
#25481 := (= uf_9 #25480)
#25498 := (or #25481 #25485 #25486)
#25501 := (forall (vars (?x577 T5)) (:pat #25488) #25498)
#25504 := (not #25501)
#25494 := (not #25493)
#25507 := (or #25332 #25494 #25504)
#25949 := [hypothesis]: #25494
#25658 := (or #25507 #25493)
#25685 := [def-axiom]: #25658
#25950 := [unit-resolution #25685 #25949]: #25507
#14 := (:var 2 T4)
#2166 := (uf_196 #14 #15 #23)
#2228 := (pattern #2166)
#2229 := (uf_53 #13 #21)
#2230 := (uf_15 #23 #2229)
#2231 := (pattern #2230)
#2158 := (uf_11 #13 #15)
#2236 := (uf_192 #2158)
#2237 := (uf_147 #23 #2236)
#10048 := (= uf_9 #2237)
#10042 := (= uf_9 #2230)
#21792 := (not #10042)
#1382 := (uf_13 #21)
#2232 := (up_197 #1382)
#21807 := (or #2232 #21792 #10048)
#21812 := (forall (vars (?x577 T5)) (:pat #2231) #21807)
#21818 := (not #21812)
#2145 := (uf_16 #14 #23)
#2146 := (uf_15 #15 #2145)
#9748 := (= uf_9 #2146)
#21627 := (not #9748)
#180 := (uf_27 #14 #15)
#3742 := (= uf_9 #180)
#10385 := (not #3742)
#21819 := (or #10385 #21627 #21818)
#21820 := (not #21819)
#9796 := (= uf_9 #2166)
#10072 := (not #9796)
#21825 := (or #10072 #21820)
#21828 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #21825)
#2233 := (not #2232)
#10045 := (and #2233 #10042)
#10054 := (not #10045)
#10055 := (or #10054 #10048)
#10060 := (forall (vars (?x577 T5)) (:pat #2231) #10055)
#10081 := (and #3742 #9748 #10060)
#10084 := (or #10072 #10081)
#10087 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10084)
#21829 := (iff #10087 #21828)
#21826 := (iff #10084 #21825)
#21823 := (iff #10081 #21820)
#21815 := (and #3742 #9748 #21812)
#21821 := (iff #21815 #21820)
#21822 := [rewrite]: #21821
#21816 := (iff #10081 #21815)
#21813 := (iff #10060 #21812)
#21810 := (iff #10055 #21807)
#21793 := (or #2232 #21792)
#21804 := (or #21793 #10048)
#21808 := (iff #21804 #21807)
#21809 := [rewrite]: #21808
#21805 := (iff #10055 #21804)
#21802 := (iff #10054 #21793)
#21794 := (not #21793)
#21797 := (not #21794)
#21800 := (iff #21797 #21793)
#21801 := [rewrite]: #21800
#21798 := (iff #10054 #21797)
#21795 := (iff #10045 #21794)
#21796 := [rewrite]: #21795
#21799 := [monotonicity #21796]: #21798
#21803 := [trans #21799 #21801]: #21802
#21806 := [monotonicity #21803]: #21805
#21811 := [trans #21806 #21809]: #21810
#21814 := [quant-intro #21811]: #21813
#21817 := [monotonicity #21814]: #21816
#21824 := [trans #21817 #21822]: #21823
#21827 := [monotonicity #21824]: #21826
#21830 := [quant-intro #21827]: #21829
#17778 := (~ #10087 #10087)
#17776 := (~ #10084 #10084)
#17774 := (~ #10081 #10081)
#17772 := (~ #10060 #10060)
#17770 := (~ #10055 #10055)
#17771 := [refl]: #17770
#17773 := [nnf-pos #17771]: #17772
#17768 := (~ #9748 #9748)
#17769 := [refl]: #17768
#17766 := (~ #3742 #3742)
#17767 := [refl]: #17766
#17775 := [monotonicity #17767 #17769 #17773]: #17774
#17764 := (~ #10072 #10072)
#17765 := [refl]: #17764
#17777 := [monotonicity #17765 #17775]: #17776
#17779 := [nnf-pos #17777]: #17778
#2238 := (= #2237 uf_9)
#2234 := (= #2230 uf_9)
#2235 := (and #2233 #2234)
#2239 := (implies #2235 #2238)
#2240 := (forall (vars (?x577 T5)) (:pat #2231) #2239)
#184 := (= #180 uf_9)
#2241 := (and #184 #2240)
#2151 := (= #2146 uf_9)
#2242 := (and #2151 #2241)
#2167 := (= #2166 uf_9)
#2243 := (implies #2167 #2242)
#2244 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #2243)
#10090 := (iff #2244 #10087)
#10063 := (and #3742 #10060)
#10066 := (and #9748 #10063)
#10073 := (or #10072 #10066)
#10078 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10073)
#10088 := (iff #10078 #10087)
#10085 := (iff #10073 #10084)
#10082 := (iff #10066 #10081)
#10083 := [rewrite]: #10082
#10086 := [monotonicity #10083]: #10085
#10089 := [quant-intro #10086]: #10088
#10079 := (iff #2244 #10078)
#10076 := (iff #2243 #10073)
#10069 := (implies #9796 #10066)
#10074 := (iff #10069 #10073)
#10075 := [rewrite]: #10074
#10070 := (iff #2243 #10069)
#10067 := (iff #2242 #10066)
#10064 := (iff #2241 #10063)
#10061 := (iff #2240 #10060)
#10058 := (iff #2239 #10055)
#10051 := (implies #10045 #10048)
#10056 := (iff #10051 #10055)
#10057 := [rewrite]: #10056
#10052 := (iff #2239 #10051)
#10049 := (iff #2238 #10048)
#10050 := [rewrite]: #10049
#10046 := (iff #2235 #10045)
#10043 := (iff #2234 #10042)
#10044 := [rewrite]: #10043
#10047 := [monotonicity #10044]: #10046
#10053 := [monotonicity #10047 #10050]: #10052
#10059 := [trans #10053 #10057]: #10058
#10062 := [quant-intro #10059]: #10061
#3743 := (iff #184 #3742)
#3744 := [rewrite]: #3743
#10065 := [monotonicity #3744 #10062]: #10064
#9749 := (iff #2151 #9748)
#9750 := [rewrite]: #9749
#10068 := [monotonicity #9750 #10065]: #10067
#9797 := (iff #2167 #9796)
#9798 := [rewrite]: #9797
#10071 := [monotonicity #9798 #10068]: #10070
#10077 := [trans #10071 #10075]: #10076
#10080 := [quant-intro #10077]: #10079
#10091 := [trans #10080 #10089]: #10090
#10041 := [asserted]: #2244
#10092 := [mp #10041 #10091]: #10087
#17780 := [mp~ #10092 #17779]: #10087
#21831 := [mp #17780 #21830]: #21828
#25510 := (not #25507)
#25649 := (not #21828)
#25651 := (or #25649 #25454 #25510)
#25487 := (or #25486 #25485 #25481)
#25489 := (forall (vars (?x577 T5)) (:pat #25488) #25487)
#25490 := (not #25489)
#25495 := (or #25332 #25494 #25490)
#25496 := (not #25495)
#25497 := (or #25454 #25496)
#25665 := (or #25649 #25497)
#25654 := (iff #25665 #25651)
#25513 := (or #25454 #25510)
#25653 := (or #25649 #25513)
#25656 := (iff #25653 #25651)
#25657 := [rewrite]: #25656
#25655 := (iff #25665 #25653)
#25514 := (iff #25497 #25513)
#25511 := (iff #25496 #25510)
#25508 := (iff #25495 #25507)
#25505 := (iff #25490 #25504)
#25502 := (iff #25489 #25501)
#25499 := (iff #25487 #25498)
#25500 := [rewrite]: #25499
#25503 := [quant-intro #25500]: #25502
#25506 := [monotonicity #25503]: #25505
#25509 := [monotonicity #25506]: #25508
#25512 := [monotonicity #25509]: #25511
#25515 := [monotonicity #25512]: #25514
#25650 := [monotonicity #25515]: #25655
#25659 := [trans #25650 #25657]: #25654
#25652 := [quant-inst]: #25665
#25660 := [mp #25652 #25659]: #25651
#26000 := [unit-resolution #25660 #21831 #25950]: #25454
#25451 := (not #25435)
#25443 := (or #25473 #25433 #25451)
#25440 := [def-axiom]: #25443
#26001 := [unit-resolution #25440 #26000 #25948 #25951]: false
#26003 := [lemma #26001]: #26002
#27340 := [unit-resolution #26003 #25596]: #25493
#25856 := (or #25494 #25968)
#25953 := (= #25492 #25967)
#25844 := (= #25967 #25492)
#25868 := (= #25880 #24856)
#25843 := [trans #25865 #25847]: #25868
#25842 := [monotonicity #25843]: #25844
#25954 := [symm #25842]: #25953
#25846 := [hypothesis]: #25493
#25955 := [trans #25846 #25954]: #25968
#25969 := (not #25968)
#25845 := [hypothesis]: #25969
#25956 := [unit-resolution #25845 #25955]: false
#25869 := [lemma #25956]: #25856
#27341 := [unit-resolution #25869 #27340]: #25968
#26259 := (or #25969 #11934)
#25957 := (uf_43 #23566 #2961)
#25958 := (uf_66 #25957 0::int #23566)
#25962 := (uf_24 uf_273 #25958)
#25963 := (= uf_9 #25962)
#25964 := (not #25963)
#26241 := (iff #18317 #25964)
#26214 := (iff #11934 #25963)
#26211 := (iff #25963 #11934)
#26209 := (= #25962 #3019)
#26203 := (= #25958 #3016)
#26201 := (= #25957 #2960)
#26202 := [monotonicity #25690 #25702]: #26201
#26204 := [monotonicity #26202 #25690]: #26203
#26210 := [monotonicity #26204]: #26209
#26213 := [monotonicity #26210]: #26211
#26215 := [symm #26213]: #26214
#26242 := [monotonicity #26215]: #26241
#26200 := [hypothesis]: #18317
#26243 := [mp #26200 #26242]: #25964
#25959 := (uf_58 #3149 #25958)
#25960 := (uf_136 #25959)
#25961 := (= uf_9 #25960)
#25974 := (or #25961 #25964)
#25977 := (not #25974)
#26244 := [hypothesis]: #25968
decl uf_22 :: (-> T3 T2)
#25970 := (uf_22 #23566)
#25971 := (= uf_9 #25970)
#2783 := (uf_22 uf_7)
#26232 := (= #2783 #25970)
#26245 := (= #25970 #2783)
#26246 := [monotonicity #25690]: #26245
#26233 := [symm #26246]: #26232
#11408 := (= uf_9 #2783)
#2784 := (= #2783 uf_9)
#11410 := (iff #2784 #11408)
#11411 := [rewrite]: #11410
#11407 := [asserted]: #2784
#11414 := [mp #11407 #11411]: #11408
#26234 := [trans #11414 #26233]: #25971
#25972 := (not #25971)
#26261 := (or #25969 #25972 #25977)
#25915 := (<= #23568 0::int)
#26239 := (not #25915)
#14256 := [not-or-elim #14242]: #13405
#25898 := (* -1::int #23568)
#26007 := (+ uf_272 #25898)
#26008 := (<= #26007 0::int)
#26230 := (not #23569)
#26236 := (or #26230 #26008)
#26237 := [th-lemma]: #26236
#26238 := [unit-resolution #26237 #26235]: #26008
#26240 := (not #26008)
#26251 := (or #26239 #13404 #26240)
#26252 := [th-lemma]: #26251
#26260 := [unit-resolution #26252 #26238 #14256]: #26239
#237 := (uf_22 #233)
#762 := (:var 4 int)
#2069 := (uf_43 #233 #762)
#2070 := (uf_66 #2069 #247 #233)
#1373 := (:var 5 T4)
#2086 := (uf_25 #1373 #2070)
#1365 := (:var 3 T5)
#2067 := (uf_16 #1373 #1365)
#268 := (:var 2 int)
#2065 := (uf_124 #233 #268)
#2066 := (uf_43 #2065 #762)
#2068 := (uf_15 #2066 #2067)
#2087 := (pattern #2068 #2086 #237)
#1545 := (uf_59 #1373)
#2084 := (uf_58 #1545 #2070)
#2085 := (pattern #2068 #2084 #237)
#2090 := (uf_136 #2084)
#9556 := (= uf_9 #2090)
#2088 := (uf_24 #1373 #2070)
#9553 := (= uf_9 #2088)
#21537 := (not #9553)
#21538 := (or #21537 #9556)
#21539 := (not #21538)
#9497 := (= uf_9 #2068)
#21513 := (not #9497)
#2073 := (uf_55 #1373)
#9494 := (= uf_9 #2073)
#21512 := (not #9494)
#4069 := (* -1::int #268)
#6133 := (+ #247 #4069)
#6730 := (>= #6133 0::int)
#4331 := (>= #247 0::int)
#19450 := (not #4331)
#3950 := (= uf_9 #237)
#10268 := (not #3950)
#21545 := (or #10268 #19450 #6730 #21512 #21513 #21539)
#21550 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #21545)
#9559 := (not #9556)
#9562 := (and #9553 #9559)
#7797 := (not #6730)
#9535 := (and #3950 #4331 #7797 #9494 #9497)
#9540 := (not #9535)
#9576 := (or #9540 #9562)
#9579 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9576)
#21551 := (iff #9579 #21550)
#21548 := (iff #9576 #21545)
#21514 := (or #10268 #19450 #6730 #21512 #21513)
#21542 := (or #21514 #21539)
#21546 := (iff #21542 #21545)
#21547 := [rewrite]: #21546
#21543 := (iff #9576 #21542)
#21540 := (iff #9562 #21539)
#21541 := [rewrite]: #21540
#21523 := (iff #9540 #21514)
#21515 := (not #21514)
#21518 := (not #21515)
#21521 := (iff #21518 #21514)
#21522 := [rewrite]: #21521
#21519 := (iff #9540 #21518)
#21516 := (iff #9535 #21515)
#21517 := [rewrite]: #21516
#21520 := [monotonicity #21517]: #21519
#21524 := [trans #21520 #21522]: #21523
#21544 := [monotonicity #21524 #21541]: #21543
#21549 := [trans #21544 #21547]: #21548
#21552 := [quant-intro #21549]: #21551
#17644 := (~ #9579 #9579)
#17642 := (~ #9576 #9576)
#17643 := [refl]: #17642
#17645 := [nnf-pos #17643]: #17644
#2091 := (= #2090 uf_9)
#2092 := (not #2091)
#2089 := (= #2088 uf_9)
#2093 := (and #2089 #2092)
#1434 := (< #247 #268)
#397 := (<= 0::int #247)
#1435 := (and #397 #1434)
#2075 := (= #2068 uf_9)
#2076 := (and #2075 #1435)
#238 := (= #237 uf_9)
#2077 := (and #238 #2076)
#2074 := (= #2073 uf_9)
#2078 := (and #2074 #2077)
#2094 := (implies #2078 #2093)
#2095 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #2094)
#9582 := (iff #2095 #9579)
#9503 := (and #1435 #9497)
#9508 := (and #3950 #9503)
#9511 := (and #9494 #9508)
#9517 := (not #9511)
#9568 := (or #9517 #9562)
#9573 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9568)
#9580 := (iff #9573 #9579)
#9577 := (iff #9568 #9576)
#9541 := (iff #9517 #9540)
#9538 := (iff #9511 #9535)
#7800 := (and #4331 #7797)
#9526 := (and #7800 #9497)
#9529 := (and #3950 #9526)
#9532 := (and #9494 #9529)
#9536 := (iff #9532 #9535)
#9537 := [rewrite]: #9536
#9533 := (iff #9511 #9532)
#9530 := (iff #9508 #9529)
#9527 := (iff #9503 #9526)
#7801 := (iff #1435 #7800)
#7798 := (iff #1434 #7797)
#7799 := [rewrite]: #7798
#4330 := (iff #397 #4331)
#4332 := [rewrite]: #4330
#7802 := [monotonicity #4332 #7799]: #7801
#9528 := [monotonicity #7802]: #9527
#9531 := [monotonicity #9528]: #9530
#9534 := [monotonicity #9531]: #9533
#9539 := [trans #9534 #9537]: #9538
#9542 := [monotonicity #9539]: #9541
#9578 := [monotonicity #9542]: #9577
#9581 := [quant-intro #9578]: #9580
#9574 := (iff #2095 #9573)
#9571 := (iff #2094 #9568)
#9565 := (implies #9511 #9562)
#9569 := (iff #9565 #9568)
#9570 := [rewrite]: #9569
#9566 := (iff #2094 #9565)
#9563 := (iff #2093 #9562)
#9560 := (iff #2092 #9559)
#9557 := (iff #2091 #9556)
#9558 := [rewrite]: #9557
#9561 := [monotonicity #9558]: #9560
#9554 := (iff #2089 #9553)
#9555 := [rewrite]: #9554
#9564 := [monotonicity #9555 #9561]: #9563
#9512 := (iff #2078 #9511)
#9509 := (iff #2077 #9508)
#9506 := (iff #2076 #9503)
#9500 := (and #9497 #1435)
#9504 := (iff #9500 #9503)
#9505 := [rewrite]: #9504
#9501 := (iff #2076 #9500)
#9498 := (iff #2075 #9497)
#9499 := [rewrite]: #9498
#9502 := [monotonicity #9499]: #9501
#9507 := [trans #9502 #9505]: #9506
#3951 := (iff #238 #3950)
#3952 := [rewrite]: #3951
#9510 := [monotonicity #3952 #9507]: #9509
#9495 := (iff #2074 #9494)
#9496 := [rewrite]: #9495
#9513 := [monotonicity #9496 #9510]: #9512
#9567 := [monotonicity #9513 #9564]: #9566
#9572 := [trans #9567 #9570]: #9571
#9575 := [quant-intro #9572]: #9574
#9583 := [trans #9575 #9581]: #9582
#9552 := [asserted]: #2095
#9584 := [mp #9552 #9583]: #9579
#17646 := [mp~ #9584 #17645]: #9579
#21553 := [mp #17646 #21552]: #21550
#25988 := (not #21550)
#25990 := (or #25988 #22661 #25915 #25969 #25972 #25977)
#25965 := (or #25964 #25961)
#25966 := (not #25965)
#25899 := (+ 0::int #25898)
#25900 := (>= #25899 0::int)
#25901 := (>= 0::int 0::int)
#25902 := (not #25901)
#25973 := (or #25972 #25902 #25900 #22661 #25969 #25966)
#25991 := (or #25988 #25973)
#25997 := (iff #25991 #25990)
#25983 := (or #22661 #25915 #25969 #25972 #25977)
#25993 := (or #25988 #25983)
#25995 := (iff #25993 #25990)
#25996 := [rewrite]: #25995
#25994 := (iff #25991 #25993)
#25986 := (iff #25973 #25983)
#25980 := (or #25972 false #25915 #22661 #25969 #25977)
#25984 := (iff #25980 #25983)
#25985 := [rewrite]: #25984
#25981 := (iff #25973 #25980)
#25978 := (iff #25966 #25977)
#25975 := (iff #25965 #25974)
#25976 := [rewrite]: #25975
#25979 := [monotonicity #25976]: #25978
#25918 := (iff #25900 #25915)
#25912 := (>= #25898 0::int)
#25916 := (iff #25912 #25915)
#25917 := [rewrite]: #25916
#25913 := (iff #25900 #25912)
#25910 := (= #25899 #25898)
#25911 := [rewrite]: #25910
#25914 := [monotonicity #25911]: #25913
#25919 := [trans #25914 #25917]: #25918
#25908 := (iff #25902 false)
#25906 := (iff #25902 #3077)
#25904 := (iff #25901 true)
#25905 := [rewrite]: #25904
#25907 := [monotonicity #25905]: #25906
#25909 := [trans #25907 #11999]: #25908
#25982 := [monotonicity #25909 #25919 #25979]: #25981
#25987 := [trans #25982 #25985]: #25986
#25989 := [monotonicity #25987]: #25994
#25998 := [trans #25989 #25996]: #25997
#25992 := [quant-inst]: #25991
#25999 := [mp #25992 #25998]: #25990
#26262 := [unit-resolution #25999 #21553 #14251 #26260]: #26261
#26263 := [unit-resolution #26262 #26234 #26244]: #25977
#26033 := (or #25974 #25963)
#26034 := [def-axiom]: #26033
#26264 := [unit-resolution #26034 #26263 #26243]: false
#26265 := [lemma #26264]: #26259
#27342 := [unit-resolution #26265 #27341]: #11934
#22678 := (or #23424 #18314 #18317 #23418)
#22690 := [def-axiom]: #22678
#27885 := [unit-resolution #22690 #27342 #27884 #27883]: #23418
#22697 := (or #23415 #23409)
#22698 := [def-axiom]: #22697
#27886 := [unit-resolution #22698 #27885]: #23409
#26720 := (uf_58 #3149 #22665)
#26901 := (uf_136 #26720)
#26917 := (= uf_9 #26901)
#26918 := (not #26917)
#26721 := (uf_135 #26720)
#26916 := (uf_27 uf_273 #26721)
#26911 := (= uf_9 #26916)
#26899 := (not #26911)
#27016 := (or #26899 #26918)
#27020 := (not #27016)
#25857 := (uf_13 #22665)
#26921 := (uf_12 #25857)
#26953 := (= uf_14 #26921)
#27014 := (not #26953)
#26914 := (uf_13 #26721)
#26902 := (uf_12 #26914)
#26915 := (= uf_14 #26902)
#26838 := (uf_210 uf_273 #26721)
#26903 := (= uf_9 #26838)
#26912 := (uf_25 uf_273 #26721)
#26898 := (= uf_26 #26912)
#26913 := (or #26898 #26903)
#26900 := (not #26913)
#27156 := (or #26900 #26915 #27014 #27020)
#27161 := (not #27156)
#26942 := (uf_25 uf_273 #22665)
#26943 := (= uf_26 #26942)
#26940 := (uf_210 uf_273 #22665)
#26941 := (= uf_9 #26940)
#26959 := (or #26941 #26943)
#26962 := (not #26959)
#27022 := (or #26953 #26962)
#27011 := (not #27022)
#27164 := (or #27011 #27161)
#27167 := (not #27164)
#26931 := (uf_24 uf_273 #22665)
#26932 := (= uf_9 #26931)
#27346 := (= #3019 #26931)
#27380 := (= #26931 #3019)
#27364 := (= #22665 #3016)
#27294 := (= #25799 #3016)
#27306 := [symm #25713]: #27294
#27381 := (= #22665 #25799)
#27339 := (= #25821 #25799)
#27344 := [symm #25706]: #27339
#27307 := (= #22665 #25821)
#27343 := (= #2960 #25821)
#27338 := [symm #25734]: #27343
#27310 := [trans #25699 #27338]: #27307
#27362 := [trans #27310 #27344]: #27381
#27365 := [trans #27362 #27306]: #27364
#27363 := [monotonicity #27365]: #27380
#27347 := [symm #27363]: #27346
#27348 := [trans #27342 #27347]: #26932
#26933 := (not #26932)
#27170 := (or #26933 #27167)
#27173 := (not #27170)
#26956 := (uf_68 uf_273 #22665)
#26957 := (= uf_9 #26956)
#27176 := (iff #26957 #27173)
#27180 := (or #27179 #27176)
#26919 := (or #26918 #26899)
#26920 := (not #26919)
#26936 := (= #26921 uf_14)
#26938 := (not #26936)
#26939 := (or #26938 #26920 #26915 #26900)
#26937 := (not #26939)
#26944 := (or #26943 #26941)
#26945 := (not #26944)
#26929 := (or #26936 #26945)
#26930 := (not #26929)
#26946 := (or #26930 #26937)
#26928 := (not #26946)
#26934 := (or #26933 #26928)
#26935 := (not #26934)
#26958 := (iff #26957 #26935)
#27181 := (or #27179 #26958)
#27183 := (iff #27181 #27180)
#27185 := (iff #27180 #27180)
#27186 := [rewrite]: #27185
#27177 := (iff #26958 #27176)
#27174 := (iff #26935 #27173)
#27171 := (iff #26934 #27170)
#27168 := (iff #26928 #27167)
#27165 := (iff #26946 #27164)
#27162 := (iff #26937 #27161)
#27159 := (iff #26939 #27156)
#27153 := (or #27014 #27020 #26915 #26900)
#27157 := (iff #27153 #27156)
#27158 := [rewrite]: #27157
#27154 := (iff #26939 #27153)
#27018 := (iff #26920 #27020)
#27017 := (iff #26919 #27016)
#27019 := [rewrite]: #27017
#27152 := [monotonicity #27019]: #27018
#27012 := (iff #26938 #27014)
#26954 := (iff #26936 #26953)
#26955 := [rewrite]: #26954
#27015 := [monotonicity #26955]: #27012
#27155 := [monotonicity #27015 #27152]: #27154
#27160 := [trans #27155 #27158]: #27159
#27163 := [monotonicity #27160]: #27162
#27009 := (iff #26930 #27011)
#27023 := (iff #26929 #27022)
#26963 := (iff #26945 #26962)
#26960 := (iff #26944 #26959)
#26961 := [rewrite]: #26960
#27021 := [monotonicity #26961]: #26963
#27010 := [monotonicity #26955 #27021]: #27023
#27013 := [monotonicity #27010]: #27009
#27166 := [monotonicity #27013 #27163]: #27165
#27169 := [monotonicity #27166]: #27168
#27172 := [monotonicity #27169]: #27171
#27175 := [monotonicity #27172]: #27174
#27178 := [monotonicity #27175]: #27177
#27184 := [monotonicity #27178]: #27183
#27187 := [trans #27184 #27186]: #27183
#27182 := [quant-inst]: #27181
#27188 := [mp #27182 #27187]: #27180
#27372 := [unit-resolution #27188 #21963]: #27176
#27311 := (not #26957)
#27376 := (iff #18323 #27311)
#27371 := (iff #11940 #26957)
#27378 := (iff #26957 #11940)
#27345 := (= #26956 #3022)
#27377 := [monotonicity #27365]: #27345
#27370 := [monotonicity #27377]: #27378
#27388 := [symm #27370]: #27371
#27390 := [monotonicity #27388]: #27376
#27373 := [hypothesis]: #18323
#27369 := [mp #27373 #27390]: #27311
#27247 := (not #27176)
#27248 := (or #27247 #26957 #27170)
#27238 := [def-axiom]: #27248
#27391 := [unit-resolution #27238 #27369 #27372]: #27170
#27245 := (or #27173 #26933 #27167)
#27246 := [def-axiom]: #27245
#27368 := [unit-resolution #27246 #27391 #27348]: #27167
#27681 := (= #2965 #26912)
#27679 := (= #26912 #2965)
#27687 := (= #26721 #2962)
#27496 := (= #26721 #25880)
#25881 := (uf_66 #25880 0::int #23566)
#25885 := (uf_58 #3149 #25881)
#25888 := (uf_135 #25885)
#27471 := (= #25888 #25880)
#25889 := (= #25880 #25888)
#25891 := (up_67 #25885)
#25892 := (not #25891)
#25890 := (not #25889)
#25886 := (uf_136 #25885)
#25887 := (= uf_9 #25886)
#25882 := (uf_24 uf_273 #25881)
#25883 := (= uf_9 #25882)
#25884 := (not #25883)
#25920 := (or #25884 #25887 #25890 #25892)
#25923 := (not #25920)
#25897 := (not #25896)
#27447 := (or #25897 #25923)
#277 := (:var 3 int)
#310 := (:var 2 T3)
#1470 := (uf_124 #310 #247)
#1471 := (uf_43 #1470 #277)
#1467 := (uf_43 #310 #277)
#1468 := (uf_66 #1467 #161 #310)
#35 := (:var 4 T4)
#1473 := (uf_59 #35)
#1474 := (uf_58 #1473 #1468)
#1475 := (pattern #1474 #1471)
#1466 := (uf_41 #35)
#1469 := (uf_40 #1466 #1468)
#1472 := (pattern #1469 #1471)
#1478 := (uf_66 #1471 #161 #310)
#1486 := (uf_24 #35 #1478)
#7955 := (= uf_9 #1486)
#20877 := (not #7955)
#1479 := (uf_58 #1473 #1478)
#1482 := (uf_136 #1479)
#7949 := (= uf_9 #1482)
#1480 := (uf_135 #1479)
#7946 := (= #1471 #1480)
#20876 := (not #7946)
#1485 := (up_67 #1479)
#20875 := (not #1485)
#20878 := (or #20875 #20876 #7949 #20877)
#20879 := (not #20878)
#1476 := (uf_24 #35 #1471)
#7943 := (= uf_9 #1476)
#7978 := (not #7943)
#5258 := (* -1::int #247)
#6138 := (+ #161 #5258)
#6139 := (>= #6138 0::int)
#20885 := (or #4987 #6139 #7978 #20879)
#20890 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #20885)
#7952 := (not #7949)
#7987 := (and #1485 #7946 #7952 #7955)
#7642 := (not #6139)
#7645 := (and #4065 #7642)
#7648 := (not #7645)
#7996 := (or #7648 #7978 #7987)
#8001 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7996)
#20891 := (iff #8001 #20890)
#20888 := (iff #7996 #20885)
#20760 := (or #4987 #6139)
#20882 := (or #20760 #7978 #20879)
#20886 := (iff #20882 #20885)
#20887 := [rewrite]: #20886
#20883 := (iff #7996 #20882)
#20880 := (iff #7987 #20879)
#20881 := [rewrite]: #20880
#20769 := (iff #7648 #20760)
#20761 := (not #20760)
#20764 := (not #20761)
#20767 := (iff #20764 #20760)
#20768 := [rewrite]: #20767
#20765 := (iff #7648 #20764)
#20762 := (iff #7645 #20761)
#20763 := [rewrite]: #20762
#20766 := [monotonicity #20763]: #20765
#20770 := [trans #20766 #20768]: #20769
#20884 := [monotonicity #20770 #20881]: #20883
#20889 := [trans #20884 #20887]: #20888
#20892 := [quant-intro #20889]: #20891
#17011 := (~ #8001 #8001)
#17009 := (~ #7996 #7996)
#17010 := [refl]: #17009
#17012 := [nnf-pos #17010]: #17011
#1487 := (= #1486 uf_9)
#1488 := (and #1485 #1487)
#1483 := (= #1482 uf_9)
#1484 := (not #1483)
#1489 := (and #1484 #1488)
#1481 := (= #1480 #1471)
#1490 := (and #1481 #1489)
#1371 := (< #161 #247)
#1372 := (and #285 #1371)
#1491 := (implies #1372 #1490)
#1477 := (= #1476 uf_9)
#1492 := (implies #1477 #1491)
#1493 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #1492)
#8004 := (iff #1493 #8001)
#7958 := (and #1485 #7955)
#7961 := (and #7952 #7958)
#7964 := (and #7946 #7961)
#7612 := (not #1372)
#7970 := (or #7612 #7964)
#7979 := (or #7978 #7970)
#7984 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7979)
#8002 := (iff #7984 #8001)
#7999 := (iff #7979 #7996)
#7990 := (or #7648 #7987)
#7993 := (or #7978 #7990)
#7997 := (iff #7993 #7996)
#7998 := [rewrite]: #7997
#7994 := (iff #7979 #7993)
#7991 := (iff #7970 #7990)
#7988 := (iff #7964 #7987)
#7989 := [rewrite]: #7988
#7649 := (iff #7612 #7648)
#7646 := (iff #1372 #7645)
#7643 := (iff #1371 #7642)
#7644 := [rewrite]: #7643
#7647 := [monotonicity #4064 #7644]: #7646
#7650 := [monotonicity #7647]: #7649
#7992 := [monotonicity #7650 #7989]: #7991
#7995 := [monotonicity #7992]: #7994
#8000 := [trans #7995 #7998]: #7999
#8003 := [quant-intro #8000]: #8002
#7985 := (iff #1493 #7984)
#7982 := (iff #1492 #7979)
#7975 := (implies #7943 #7970)
#7980 := (iff #7975 #7979)
#7981 := [rewrite]: #7980
#7976 := (iff #1492 #7975)
#7973 := (iff #1491 #7970)
#7967 := (implies #1372 #7964)
#7971 := (iff #7967 #7970)
#7972 := [rewrite]: #7971
#7968 := (iff #1491 #7967)
#7965 := (iff #1490 #7964)
#7962 := (iff #1489 #7961)
#7959 := (iff #1488 #7958)
#7956 := (iff #1487 #7955)
#7957 := [rewrite]: #7956
#7960 := [monotonicity #7957]: #7959
#7953 := (iff #1484 #7952)
#7950 := (iff #1483 #7949)
#7951 := [rewrite]: #7950
#7954 := [monotonicity #7951]: #7953
#7963 := [monotonicity #7954 #7960]: #7962
#7947 := (iff #1481 #7946)
#7948 := [rewrite]: #7947
#7966 := [monotonicity #7948 #7963]: #7965
#7969 := [monotonicity #7966]: #7968
#7974 := [trans #7969 #7972]: #7973
#7944 := (iff #1477 #7943)
#7945 := [rewrite]: #7944
#7977 := [monotonicity #7945 #7974]: #7976
#7983 := [trans #7977 #7981]: #7982
#7986 := [quant-intro #7983]: #7985
#8005 := [trans #7986 #8003]: #8004
#7942 := [asserted]: #1493
#8006 := [mp #7942 #8005]: #8001
#17013 := [mp~ #8006 #17012]: #8001
#20893 := [mp #17013 #20892]: #20890
#26056 := (not #20890)
#26054 := (or #26056 #25897 #25915 #25923)
#25893 := (or #25892 #25890 #25887 #25884)
#25894 := (not #25893)
#25903 := (or #25902 #25900 #25897 #25894)
#26057 := (or #26056 #25903)
#26096 := (iff #26057 #26054)
#25929 := (or #25897 #25915 #25923)
#26106 := (or #26056 #25929)
#26109 := (iff #26106 #26054)
#26098 := [rewrite]: #26109
#26107 := (iff #26057 #26106)
#25932 := (iff #25903 #25929)
#25926 := (or false #25915 #25897 #25923)
#25930 := (iff #25926 #25929)
#25931 := [rewrite]: #25930
#25927 := (iff #25903 #25926)
#25924 := (iff #25894 #25923)
#25921 := (iff #25893 #25920)
#25922 := [rewrite]: #25921
#25925 := [monotonicity #25922]: #25924
#25928 := [monotonicity #25909 #25919 #25925]: #25927
#25933 := [trans #25928 #25931]: #25932
#26108 := [monotonicity #25933]: #26107
#26099 := [trans #26108 #26098]: #26096
#26105 := [quant-inst]: #26057
#26149 := [mp #26105 #26099]: #26054
#27437 := [unit-resolution #26149 #20893 #26260]: #27447
#27472 := [unit-resolution #27437 #27446]: #25923
#26138 := (or #25920 #25889)
#26139 := [def-axiom]: #26138
#27473 := [unit-resolution #26139 #27472]: #25889
#27495 := [symm #27473]: #27471
#27491 := (= #26721 #25888)
#27538 := (= #26720 #25885)
#25710 := (uf_58 #3149 #3016)
#27490 := (= #25710 #25885)
#27532 := (= #25885 #25710)
#27497 := (= #25881 #3016)
#27536 := (= #25881 #25799)
#27534 := (= #25881 #25821)
#27475 := (= #25881 #2960)
#26062 := (uf_116 #24856)
#26076 := (uf_43 #23566 #26062)
#27504 := (= #26076 #2960)
#27428 := (= #26062 uf_274)
#27413 := (= #26062 #2961)
#27409 := (= #23468 #2961)
#23692 := (= #2961 #23468)
#23697 := (or #23639 #23692)
#23698 := [quant-inst]: #23697
#27474 := [unit-resolution #23698 #23137]: #23692
#27412 := [symm #27474]: #27409
#27410 := (= #26062 #23468)
#27411 := [monotonicity #25871]: #27410
#27401 := [trans #27411 #27412]: #27413
#27414 := [trans #27401 #25702]: #27428
#27505 := [monotonicity #25690 #27414]: #27504
#27508 := (= #25881 #26076)
#26058 := (uf_66 #24856 0::int #23566)
#26079 := (= #26058 #26076)
#26082 := (not #26079)
#26059 := (uf_138 #26058 #24856)
#26060 := (= uf_9 #26059)
#26061 := (not #26060)
#26088 := (or #26061 #26082)
#26093 := (not #26088)
#26525 := (or #25566 #26093)
#26063 := (+ #26062 #25804)
#26064 := (uf_43 #23566 #26063)
#26065 := (= #26058 #26064)
#26066 := (not #26065)
#26067 := (or #26066 #26061)
#26068 := (not #26067)
#26526 := (or #25566 #26068)
#26840 := (iff #26526 #26525)
#26836 := (iff #26525 #26525)
#26837 := [rewrite]: #26836
#26094 := (iff #26068 #26093)
#26091 := (iff #26067 #26088)
#26085 := (or #26082 #26061)
#26089 := (iff #26085 #26088)
#26090 := [rewrite]: #26089
#26086 := (iff #26067 #26085)
#26083 := (iff #26066 #26082)
#26080 := (iff #26065 #26079)
#26077 := (= #26064 #26076)
#26074 := (= #26063 #26062)
#26069 := (+ #26062 0::int)
#26072 := (= #26069 #26062)
#26073 := [rewrite]: #26072
#26070 := (= #26063 #26069)
#26071 := [monotonicity #25813]: #26070
#26075 := [trans #26071 #26073]: #26074
#26078 := [monotonicity #26075]: #26077
#26081 := [monotonicity #26078]: #26080
#26084 := [monotonicity #26081]: #26083
#26087 := [monotonicity #26084]: #26086
#26092 := [trans #26087 #26090]: #26091
#26095 := [monotonicity #26092]: #26094
#26841 := [monotonicity #26095]: #26840
#26842 := [trans #26841 #26837]: #26840
#26839 := [quant-inst]: #26526
#26843 := [mp #26839 #26842]: #26525
#27415 := [unit-resolution #26843 #21109]: #26093
#26714 := (or #26088 #26079)
#26716 := [def-axiom]: #26714
#27416 := [unit-resolution #26716 #27415]: #26079
#27417 := (= #25881 #26058)
#27476 := [monotonicity #25843]: #27417
#27509 := [trans #27476 #27416]: #27508
#27533 := [trans #27509 #27505]: #27475
#27535 := [trans #27533 #27338]: #27534
#27537 := [trans #27535 #27344]: #27536
#27498 := [trans #27537 #27306]: #27497
#27543 := [monotonicity #27498]: #27532
#27492 := [symm #27543]: #27490
#27499 := (= #26720 #25710)
#27531 := [monotonicity #27365]: #27499
#27493 := [trans #27531 #27492]: #27538
#27494 := [monotonicity #27493]: #27491
#27686 := [trans #27494 #27495]: #27496
#27639 := [trans #27686 #25865]: #27687
#27638 := [monotonicity #27639]: #27679
#27694 := [symm #27638]: #27681
#27630 := [trans #14262 #27694]: #26898
#27134 := (not #26898)
#27132 := (or #26913 #27134)
#27135 := [def-axiom]: #27132
#27631 := [unit-resolution #27135 #27630]: #26913
#24105 := (uf_12 uf_7)
#27737 := (= #24105 #26921)
#27761 := (= #26921 #24105)
#27779 := (= #25857 uf_7)
#27771 := (= #23681 uf_7)
#27778 := [symm #25680]: #27771
#27769 := (= #25857 #23681)
#27770 := [monotonicity #25699]: #27769
#27780 := [trans #27770 #27778]: #27779
#27767 := [monotonicity #27780]: #27761
#27722 := [symm #27767]: #27737
#24106 := (= uf_14 #24105)
#24113 := (iff #11408 #24106)
#2308 := (pattern #237)
#2836 := (uf_12 #233)
#11581 := (= uf_14 #2836)
#11585 := (iff #3950 #11581)
#11588 := (forall (vars (?x761 T3)) (:pat #2308) #11585)
#18271 := (~ #11588 #11588)
#18269 := (~ #11585 #11585)
#18270 := [refl]: #18269
#18272 := [nnf-pos #18270]: #18271
#2849 := (= #2836 uf_14)
#2850 := (iff #238 #2849)
#2851 := (forall (vars (?x761 T3)) (:pat #2308) #2850)
#11589 := (iff #2851 #11588)
#11586 := (iff #2850 #11585)
#11583 := (iff #2849 #11581)
#11584 := [rewrite]: #11583
#11587 := [monotonicity #3952 #11584]: #11586
#11590 := [quant-intro #11587]: #11589
#11580 := [asserted]: #2851
#11593 := [mp #11580 #11590]: #11588
#18273 := [mp~ #11593 #18272]: #11588
#23737 := (not #11588)
#24116 := (or #23737 #24113)
#24117 := [quant-inst]: #24116
#27629 := [unit-resolution #24117 #18273]: #24113
#24118 := (not #24113)
#27723 := (or #24118 #24106)
#24122 := (not #11408)
#24123 := (or #24118 #24122 #24106)
#24124 := [def-axiom]: #24123
#27724 := [unit-resolution #24124 #11414]: #27723
#27766 := [unit-resolution #27724 #27629]: #24106
#27709 := [trans #27766 #27722]: #26953
#27149 := (not #26915)
#27478 := (iff #11881 #27149)
#27477 := (iff #11878 #26915)
#27290 := (iff #26915 #11878)
#27729 := (= #26902 #2971)
#27727 := (= #26914 #2958)
#27725 := (= #26914 #23686)
#27726 := [monotonicity #27639]: #27725
#27728 := [trans #27726 #25786]: #27727
#27765 := [monotonicity #27728]: #27729
#27418 := [monotonicity #27765]: #27290
#27402 := [symm #27418]: #27477
#27479 := [monotonicity #27402]: #27478
#27480 := [mp #14265 #27479]: #27149
#26305 := (not #25961)
#27693 := (iff #26305 #26918)
#27698 := (iff #25961 #26917)
#27804 := (iff #26917 #25961)
#27802 := (= #26901 #25960)
#27354 := (= #26720 #25959)
#27352 := (= #25710 #25959)
#27327 := (= #25959 #25710)
#27328 := [monotonicity #26204]: #27327
#27353 := [symm #27328]: #27352
#27355 := [trans #27531 #27353]: #27354
#27803 := [monotonicity #27355]: #27802
#27787 := [monotonicity #27803]: #27804
#27786 := [symm #27787]: #27698
#27699 := [monotonicity #27786]: #27693
#27696 := (or #25972 #25977)
#27697 := [unit-resolution #25999 #21553 #14251 #26260 #27341]: #27696
#27781 := [unit-resolution #27697 #26234]: #25977
#26350 := (or #25974 #26305)
#26351 := [def-axiom]: #26350
#27782 := [unit-resolution #26351 #27781]: #26305
#27730 := [mp #27782 #27699]: #26918
#27144 := (or #27016 #26917)
#27142 := [def-axiom]: #27144
#27762 := [unit-resolution #27142 #27730]: #27016
#27292 := (or #27161 #26900 #26915 #27014 #27020)
#27293 := [def-axiom]: #27292
#27763 := [unit-resolution #27293 #27762 #27480 #27709 #27631]: #27161
#27325 := (or #27164 #27156)
#27326 := [def-axiom]: #27325
#27764 := [unit-resolution #27326 #27763 #27368]: false
#27818 := [lemma #27764]: #11940
#22709 := (or #23412 #18314 #18323 #23406)
#22710 := [def-axiom]: #22709
#27887 := [unit-resolution #22710 #27818 #27884 #27886]: #23406
#22742 := (or #23403 #3027)
#22743 := [def-axiom]: #22742
#27931 := [unit-resolution #22743 #27887]: #3027
#22731 := (or #23403 #23397)
#22732 := [def-axiom]: #22731
#28328 := [unit-resolution #22732 #27887]: #23397
#27821 := [hypothesis]: #13368
#27822 := [th-lemma #14256 #27821]: false
#27823 := [lemma #27822]: #13365
#22751 := (or #23400 #13368 #23394)
#22753 := [def-axiom]: #22751
#28329 := [unit-resolution #22753 #27823 #28328]: #23394
#22761 := (or #23391 #23385)
#22762 := [def-axiom]: #22761
#28330 := [unit-resolution #22762 #28329]: #23385
#26364 := (* -1::int #3026)
#26365 := (+ uf_285 #26364)
#26366 := (>= #26365 0::int)
#27932 := (or #13149 #26366)
#27933 := [th-lemma]: #27932
#27934 := [unit-resolution #27933 #27931]: #26366
#22628 := (not #18355)
#27935 := [hypothesis]: #22206
#22714 := (or #22201 #22628)
#22629 := [def-axiom]: #22714
#27936 := [unit-resolution #22629 #27935]: #22628
#27904 := (+ #3026 #18353)
#27906 := (>= #27904 0::int)
#27903 := (= #3026 #18352)
#27939 := (= #18352 #3026)
#27937 := (= #18351 #3016)
#27930 := (= ?x773!13 0::int)
#22715 := (not #18356)
#22706 := (or #22201 #22715)
#22717 := [def-axiom]: #22706
#27928 := [unit-resolution #22717 #27935]: #22715
#22627 := (or #22201 #18348)
#22713 := [def-axiom]: #22627
#27929 := [unit-resolution #22713 #27935]: #18348
#27927 := [th-lemma #27929 #27928]: #27930
#27938 := [monotonicity #27927]: #27937
#27940 := [monotonicity #27938]: #27939
#27926 := [symm #27940]: #27903
#27941 := (not #27903)
#27942 := (or #27941 #27906)
#27943 := [th-lemma]: #27942
#27944 := [unit-resolution #27943 #27926]: #27906
#27945 := [th-lemma #27944 #27936 #27934]: false
#27948 := [lemma #27945]: #22201
#22757 := (or #23388 #22206 #23382)
#22758 := [def-axiom]: #22757
#28331 := [unit-resolution #22758 #27948 #28330]: #23382
#22773 := (or #23379 #23373)
#22774 := [def-axiom]: #22773
#28332 := [unit-resolution #22774 #28331]: #23373
#28333 := (or #23376 #13149 #23370)
#22769 := (or #23376 #13149 #13404 #23370)
#22770 := [def-axiom]: #22769
#28334 := [unit-resolution #22770 #14256]: #28333
#28335 := [unit-resolution #28334 #28332 #27931]: #23370
#22808 := (or #23367 #13412)
#22796 := [def-axiom]: #22808
#28968 := [unit-resolution #22796 #28335]: #13412
#27800 := (or #27208 #13552)
#27790 := [hypothesis]: #13412
#27217 := (* -1::int #27025)
#27349 := (+ uf_294 #27217)
#27350 := (<= #27349 0::int)
#27026 := (= uf_294 #27025)
#1391 := (uf_66 #15 #161 #1390)
#1392 := (pattern #1391)
#1393 := (uf_125 #1391 #15)
#7687 := (= #161 #1393)
#7691 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #7687)
#16976 := (~ #7691 #7691)
#16974 := (~ #7687 #7687)
#16975 := [refl]: #16974
#16977 := [nnf-pos #16975]: #16976
#1394 := (= #1393 #161)
#1395 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #1394)
#7692 := (iff #1395 #7691)
#7689 := (iff #1394 #7687)
#7690 := [rewrite]: #7689
#7693 := [quant-intro #7690]: #7692
#7686 := [asserted]: #1395
#7696 := [mp #7686 #7693]: #7691
#16978 := [mp~ #7696 #16977]: #7691
#25864 := (not #7691)
#27029 := (or #25864 #27026)
#27030 := [quant-inst]: #27029
#27791 := [unit-resolution #27030 #16978]: #27026
#27794 := (not #27026)
#27795 := (or #27794 #27350)
#27796 := [th-lemma]: #27795
#27797 := [unit-resolution #27796 #27791]: #27350
#27209 := (not #27208)
#27798 := [hypothesis]: #27209
#27799 := [th-lemma #27798 #27797 #27790]: false
#27801 := [lemma #27799]: #27800
#29177 := [unit-resolution #27801 #28968]: #27208
#27218 := (+ #23568 #27217)
#27219 := (<= #27218 0::int)
#29199 := (not #27219)
#27351 := (>= #27349 0::int)
#28150 := (uf_66 #22665 uf_294 #25857)
#28151 := (uf_125 #28150 #22665)
#28181 := (* -1::int #28151)
#28307 := (+ uf_294 #28181)
#28309 := (>= #28307 0::int)
#28152 := (= uf_294 #28151)
#28155 := (or #25864 #28152)
#28156 := [quant-inst]: #28155
#28311 := [unit-resolution #28156 #16978]: #28152
#28337 := (not #28152)
#28381 := (or #28337 #28309)
#28382 := [th-lemma]: #28381
#28383 := [unit-resolution #28382 #28311]: #28309
#28385 := (not #28309)
#29196 := (or #27351 #28385)
#28099 := (+ #27025 #28181)
#28100 := (<= #28099 0::int)
#28098 := (= #27025 #28151)
#29186 := (= #28151 #27025)
#29184 := (= #28150 #27024)
#29182 := (= #3180 #27024)
#29180 := (= #27024 #3180)
#28355 := (= #26356 uf_7)
#28353 := (= #26356 #23681)
#28354 := [monotonicity #25734]: #28353
#28356 := [trans #28354 #27778]: #28355
#29181 := [monotonicity #25734 #28356]: #29180
#29183 := [symm #29181]: #29182
#29178 := (= #28150 #3180)
#29179 := [monotonicity #25699 #27780]: #29178
#29185 := [trans #29179 #29183]: #29184
#29187 := [monotonicity #29185 #27310]: #29186
#29188 := [symm #29187]: #28098
#29189 := (not #28098)
#29190 := (or #29189 #28100)
#29191 := [th-lemma]: #29190
#29192 := [unit-resolution #29191 #29188]: #28100
#29193 := (not #28100)
#29194 := (or #27351 #29193 #28385)
#29195 := [th-lemma]: #29194
#29197 := [unit-resolution #29195 #29192]: #29196
#29198 := [unit-resolution #29197 #28383]: #27351
#29200 := (not #27351)
#29205 := (or #29199 #29200)
#22792 := (or #23367 #23361)
#22778 := [def-axiom]: #22792
#28345 := [unit-resolution #22778 #28335]: #23361
#22788 := (or #23367 #23203)
#22791 := [def-axiom]: #22788
#28346 := [unit-resolution #22791 #28335]: #23203
#22659 := (or #23367 #11992)
#22817 := [def-axiom]: #22659
#28347 := [unit-resolution #22817 #28335]: #11992
#22790 := (or #23367 #15764)
#22794 := [def-axiom]: #22790
#28348 := [unit-resolution #22794 #28335]: #15764
#22799 := (or #23367 #13876)
#22801 := [def-axiom]: #22799
#28349 := [unit-resolution #22801 #28335]: #13876
#26357 := (uf_66 #25821 uf_293 #26356)
#26358 := (uf_125 #26357 #25821)
#26439 := (>= #26358 0::int)
#22807 := (or #23367 #13409)
#22805 := [def-axiom]: #22807
#28350 := [unit-resolution #22805 #28335]: #13409
#26455 := (* -1::int #26358)
#26528 := (+ uf_293 #26455)
#26529 := (<= #26528 0::int)
#26359 := (= uf_293 #26358)
#27978 := (uf_66 #22665 uf_293 #25857)
#27979 := (uf_125 #27978 #22665)
#28368 := (= #27979 #26358)
#28366 := (= #26358 #27979)
#28351 := (= #25821 #22665)
#28352 := [trans #25734 #25682]: #28351
#28363 := (= #26357 #27978)
#28361 := (= #3073 #27978)
#28359 := (= #27978 #3073)
#28360 := [monotonicity #25699 #27780]: #28359
#28362 := [symm #28360]: #28361
#28357 := (= #26357 #3073)
#28358 := [monotonicity #25734 #28356]: #28357
#28364 := [trans #28358 #28362]: #28363
#28367 := [monotonicity #28364 #28352]: #28366
#28369 := [symm #28367]: #28368
#27980 := (= uf_293 #27979)
#27982 := (or #25864 #27980)
#27983 := [quant-inst]: #27982
#28365 := [unit-resolution #27983 #16978]: #27980
#28370 := [trans #28365 #28369]: #26359
#26867 := (not #26359)
#28371 := (or #26867 #26529)
#28372 := [th-lemma]: #28371
#28373 := [unit-resolution #28372 #28370]: #26529
#28374 := (not #26529)
#28375 := (or #26439 #22348 #28374)
#28376 := [th-lemma]: #28375
#28377 := [unit-resolution #28376 #28373 #28350]: #26439
#26440 := (not #26439)
#26892 := (or #23355 #26440 #13875 #22491 #22486 #23208)
#26737 := (uf_66 #2960 #26358 uf_7)
#26738 := (uf_110 uf_273 #26737)
#26741 := (= uf_299 #26738)
#26847 := (= #3074 #26738)
#26860 := (= #26738 #3074)
#26854 := (= #26737 #3073)
#26852 := (= #26358 uf_293)
#26362 := (or #25864 #26359)
#26363 := [quant-inst]: #26362
#26851 := [unit-resolution #26363 #16978]: #26359
#26853 := [symm #26851]: #26852
#26855 := [monotonicity #26853]: #26854
#26861 := [monotonicity #26855]: #26860
#26862 := [symm #26861]: #26847
#26863 := (= uf_299 #3074)
#26856 := [hypothesis]: #11992
#26857 := [hypothesis]: #23358
#22849 := (or #23355 #12020)
#22850 := [def-axiom]: #22849
#26858 := [unit-resolution #22850 #26857]: #12020
#26859 := [symm #26858]: #3089
#26864 := [trans #26859 #26856]: #26863
#26865 := [trans #26864 #26862]: #26741
#26722 := (<= #26358 4294967295::int)
#26866 := [hypothesis]: #15764
#26530 := (>= #26528 0::int)
#26868 := (or #26867 #26530)
#26869 := [th-lemma]: #26868
#26870 := [unit-resolution #26869 #26851]: #26530
#26871 := (not #26530)
#26872 := (or #26722 #22491 #26871)
#26873 := [th-lemma]: #26872
#26874 := [unit-resolution #26873 #26870 #26866]: #26722
#26764 := (+ uf_272 #26455)
#26765 := (<= #26764 0::int)
#26876 := (not #26765)
#26875 := [hypothesis]: #13876
#26877 := (or #26876 #13875 #26871)
#26878 := [th-lemma]: #26877
#26879 := [unit-resolution #26878 #26870 #26875]: #26876
#26744 := (not #26741)
#26723 := (not #26722)
#26889 := (or #26723 #26744 #26765)
#26880 := [hypothesis]: #26439
#22857 := (or #23355 #23349)
#22842 := [def-axiom]: #22857
#26881 := [unit-resolution #22842 #26857]: #23349
#26534 := (+ uf_292 #13737)
#26537 := (<= #26534 0::int)
#26882 := (or #12069 #26537)
#26883 := [th-lemma]: #26882
#26884 := [unit-resolution #26883 #26858]: #26537
#26788 := [hypothesis]: #23203
#22855 := (or #23355 #13697)
#22856 := [def-axiom]: #22855
#26885 := [unit-resolution #22856 #26857]: #13697
#26779 := (not #26537)
#26794 := (or #22457 #13698 #23208 #26779)
#26782 := [hypothesis]: #13697
#26605 := (+ uf_294 #18945)
#26606 := (<= #26605 0::int)
#26617 := (+ uf_292 #18958)
#26618 := (>= #26617 0::int)
#26778 := (not #26618)
#26772 := [hypothesis]: #26537
#22869 := (not #18960)
#26783 := [hypothesis]: #22462
#22828 := (or #22457 #22869)
#22859 := [def-axiom]: #22828
#26784 := [unit-resolution #22859 #26783]: #22869
#26780 := (or #26778 #18960 #26779)
#26773 := [hypothesis]: #22869
#26776 := [hypothesis]: #26618
#26777 := [th-lemma #26776 #26773 #26772]: false
#26781 := [lemma #26777]: #26780
#26785 := [unit-resolution #26781 #26784 #26772]: #26778
#26789 := (or #26606 #26618)
#22892 := (or #22457 #18609)
#22893 := [def-axiom]: #22892
#26786 := [unit-resolution #22893 #26783]: #18609
#22887 := (or #22457 #18608)
#22868 := [def-axiom]: #22887
#26787 := [unit-resolution #22868 #26783]: #18608
#26631 := (or #23208 #22441 #22442 #26606 #26618)
#26594 := (+ #18613 #13902)
#26595 := (<= #26594 0::int)
#26596 := (+ ?x776!15 #13433)
#26597 := (>= #26596 0::int)
#26598 := (or #22442 #26597 #26595 #22441)
#26632 := (or #23208 #26598)
#26639 := (iff #26632 #26631)
#26626 := (or #22441 #22442 #26606 #26618)
#26634 := (or #23208 #26626)
#26637 := (iff #26634 #26631)
#26638 := [rewrite]: #26637
#26635 := (iff #26632 #26634)
#26629 := (iff #26598 #26626)
#26623 := (or #22442 #26606 #26618 #22441)
#26627 := (iff #26623 #26626)
#26628 := [rewrite]: #26627
#26624 := (iff #26598 #26623)
#26621 := (iff #26595 #26618)
#26611 := (+ #13902 #18613)
#26614 := (<= #26611 0::int)
#26619 := (iff #26614 #26618)
#26620 := [rewrite]: #26619
#26615 := (iff #26595 #26614)
#26612 := (= #26594 #26611)
#26613 := [rewrite]: #26612
#26616 := [monotonicity #26613]: #26615
#26622 := [trans #26616 #26620]: #26621
#26609 := (iff #26597 #26606)
#26599 := (+ #13433 ?x776!15)
#26602 := (>= #26599 0::int)
#26607 := (iff #26602 #26606)
#26608 := [rewrite]: #26607
#26603 := (iff #26597 #26602)
#26600 := (= #26596 #26599)
#26601 := [rewrite]: #26600
#26604 := [monotonicity #26601]: #26603
#26610 := [trans #26604 #26608]: #26609
#26625 := [monotonicity #26610 #26622]: #26624
#26630 := [trans #26625 #26628]: #26629
#26636 := [monotonicity #26630]: #26635
#26640 := [trans #26636 #26638]: #26639
#26633 := [quant-inst]: #26632
#26641 := [mp #26633 #26640]: #26631
#26790 := [unit-resolution #26641 #26788 #26787 #26786]: #26789
#26791 := [unit-resolution #26790 #26785]: #26606
#22888 := (not #18947)
#22894 := (or #22457 #22888)
#22862 := [def-axiom]: #22894
#26792 := [unit-resolution #22862 #26783]: #22888
#26793 := [th-lemma #26792 #26791 #26782]: false
#26795 := [lemma #26793]: #26794
#26886 := [unit-resolution #26795 #26885 #26788 #26884]: #22457
#22884 := (or #23352 #23346 #22462)
#22864 := [def-axiom]: #22884
#26887 := [unit-resolution #22864 #26886 #26881]: #23346
#22901 := (or #23343 #23335)
#22906 := [def-axiom]: #22901
#26888 := [unit-resolution #22906 #26887]: #23335
#26801 := (or #23340 #26440 #26723 #26744 #26765)
#26728 := (+ #26358 #13338)
#26729 := (>= #26728 0::int)
#26736 := (= #26738 uf_299)
#26739 := (not #26736)
#26740 := (or #26739 #26440 #26729 #26723)
#26802 := (or #23340 #26740)
#26809 := (iff #26802 #26801)
#26796 := (or #26440 #26723 #26744 #26765)
#26804 := (or #23340 #26796)
#26807 := (iff #26804 #26801)
#26808 := [rewrite]: #26807
#26805 := (iff #26802 #26804)
#26799 := (iff #26740 #26796)
#26745 := (or #26744 #26440 #26765 #26723)
#26797 := (iff #26745 #26796)
#26798 := [rewrite]: #26797
#26746 := (iff #26740 #26745)
#26775 := (iff #26729 #26765)
#26759 := (+ #13338 #26358)
#26756 := (>= #26759 0::int)
#26766 := (iff #26756 #26765)
#26774 := [rewrite]: #26766
#26762 := (iff #26729 #26756)
#26760 := (= #26728 #26759)
#26761 := [rewrite]: #26760
#26763 := [monotonicity #26761]: #26762
#26677 := [trans #26763 #26774]: #26775
#26757 := (iff #26739 #26744)
#26742 := (iff #26736 #26741)
#26743 := [rewrite]: #26742
#26758 := [monotonicity #26743]: #26757
#26769 := [monotonicity #26758 #26677]: #26746
#26800 := [trans #26769 #26798]: #26799
#26806 := [monotonicity #26800]: #26805
#26810 := [trans #26806 #26808]: #26809
#26803 := [quant-inst]: #26802
#26811 := [mp #26803 #26810]: #26801
#26890 := [unit-resolution #26811 #26888 #26880]: #26889
#26891 := [unit-resolution #26890 #26879 #26874 #26865]: false
#26893 := [lemma #26891]: #26892
#28378 := [unit-resolution #26893 #28377 #28349 #28348 #28347 #28346]: #23355
#22831 := (or #23364 #23324 #23358)
#22833 := [def-axiom]: #22831
#28379 := [unit-resolution #22833 #28378 #28345]: #23324
#22897 := (or #23321 #13698)
#22902 := [def-axiom]: #22897
#28380 := [unit-resolution #22902 #28379]: #13698
#29203 := (or #29199 #29200 #13697)
#29201 := (or #29199 #26240 #29200 #13697)
#29202 := [th-lemma]: #29201
#29204 := [unit-resolution #29202 #26238]: #29203
#29206 := [unit-resolution #29204 #28380]: #29205
#29207 := [unit-resolution #29206 #29198]: #29199
#28412 := (or #26056 #25897 #27209 #27219 #27227)
#27204 := (or #27203 #27201 #27198 #27195)
#27205 := (not #27204)
#27206 := (+ #27025 #25898)
#27207 := (>= #27206 0::int)
#27210 := (or #27209 #27207 #25897 #27205)
#28413 := (or #26056 #27210)
#28419 := (iff #28413 #28412)
#27233 := (or #25897 #27209 #27219 #27227)
#28409 := (or #26056 #27233)
#28417 := (iff #28409 #28412)
#28418 := [rewrite]: #28417
#28415 := (iff #28413 #28409)
#27236 := (iff #27210 #27233)
#27230 := (or #27209 #27219 #25897 #27227)
#27234 := (iff #27230 #27233)
#27235 := [rewrite]: #27234
#27231 := (iff #27210 #27230)
#27228 := (iff #27205 #27227)
#27225 := (iff #27204 #27224)
#27226 := [rewrite]: #27225
#27229 := [monotonicity #27226]: #27228
#27222 := (iff #27207 #27219)
#27211 := (+ #25898 #27025)
#27214 := (>= #27211 0::int)
#27220 := (iff #27214 #27219)
#27221 := [rewrite]: #27220
#27215 := (iff #27207 #27214)
#27212 := (= #27206 #27211)
#27213 := [rewrite]: #27212
#27216 := [monotonicity #27213]: #27215
#27223 := [trans #27216 #27221]: #27222
#27232 := [monotonicity #27223 #27229]: #27231
#27237 := [trans #27232 #27235]: #27236
#28416 := [monotonicity #27237]: #28415
#28429 := [trans #28416 #28418]: #28419
#28414 := [quant-inst]: #28413
#28430 := [mp #28414 #28429]: #28412
#29208 := [unit-resolution #28430 #20893 #29207 #29177 #27446]: #27227
#28434 := (or #27224 #27200)
#28435 := [def-axiom]: #28434
#29209 := [unit-resolution #28435 #29208]: #27200
#29240 := [symm #29209]: #29239
#29237 := (= #27027 #27199)
#29235 := (= #26583 #27196)
#29233 := (= #27196 #26583)
#29231 := (= #27192 #3180)
#26846 := (uf_116 #3180)
#26905 := (uf_43 #23566 #26846)
#29225 := (= #26905 #3180)
#26906 := (= #3180 #26905)
#26896 := (uf_48 #3180 #23566)
#26897 := (= uf_9 #26896)
#29211 := (= #3181 #26896)
#28282 := (= #26896 #3181)
#28283 := [monotonicity #25690]: #28282
#29212 := [symm #28283]: #29211
#26923 := (= #23566 #26922)
#26996 := (* uf_294 #25803)
#28123 := (+ #25805 #26996)
#28124 := (uf_43 #23566 #28123)
#28266 := (uf_13 #28124)
#28306 := (= #28266 #26922)
#28313 := (= #26922 #28266)
#28408 := (= #3180 #28124)
#28119 := (uf_66 #22665 uf_294 #23566)
#28125 := (= #28119 #28124)
#28126 := (not #28125)
#28120 := (uf_138 #28119 #22665)
#28121 := (= uf_9 #28120)
#28122 := (not #28121)
#28129 := (or #28122 #28126)
#28132 := (not #28129)
#28139 := (or #25566 #28132)
#28127 := (or #28126 #28122)
#28128 := (not #28127)
#28140 := (or #25566 #28128)
#28141 := (iff #28140 #28139)
#28143 := (iff #28139 #28139)
#28213 := [rewrite]: #28143
#28133 := (iff #28128 #28132)
#28130 := (iff #28127 #28129)
#28131 := [rewrite]: #28130
#28134 := [monotonicity #28131]: #28133
#28142 := [monotonicity #28134]: #28141
#28214 := [trans #28142 #28213]: #28141
#28144 := [quant-inst]: #28140
#28203 := [mp #28144 #28214]: #28139
#28400 := [unit-resolution #28203 #21109]: #28132
#28206 := (or #28129 #28125)
#28207 := [def-axiom]: #28206
#28401 := [unit-resolution #28207 #28400]: #28125
#28406 := (= #3180 #28119)
#28404 := (= #28119 #3180)
#28405 := [monotonicity #25699 #25690]: #28404
#28407 := [symm #28405]: #28406
#28312 := [trans #28407 #28401]: #28408
#28153 := [monotonicity #28312]: #28313
#28389 := [symm #28153]: #28306
#28267 := (= #23566 #28266)
#28215 := (or #23633 #28267)
#28218 := [quant-inst]: #28215
#28399 := [unit-resolution #28218 #23143]: #28267
#28394 := [trans #28399 #28389]: #26923
#28090 := (not #26923)
#26925 := (iff #26897 #26923)
#28110 := (or #24884 #26925)
#26924 := (iff #26923 #26897)
#28111 := (or #24884 #26924)
#28113 := (iff #28111 #28110)
#28114 := (iff #28110 #28110)
#28115 := [rewrite]: #28114
#26926 := (iff #26924 #26925)
#26927 := [rewrite]: #26926
#28108 := [monotonicity #26927]: #28113
#28116 := [trans #28108 #28115]: #28113
#28112 := [quant-inst]: #28111
#28117 := [mp #28112 #28116]: #28110
#28303 := [unit-resolution #28117 #23130]: #26925
#26904 := (not #26897)
#28297 := (iff #18425 #26904)
#28285 := (iff #12345 #26897)
#28281 := (iff #26897 #12345)
#28284 := [monotonicity #28283]: #28281
#28286 := [symm #28284]: #28285
#28298 := [monotonicity #28286]: #28297
#28304 := [hypothesis]: #18425
#28299 := [mp #28304 #28298]: #26904
#28118 := (not #26925)
#28091 := (or #28118 #26897 #28090)
#28092 := [def-axiom]: #28091
#28398 := [unit-resolution #28092 #28299 #28303]: #28090
#28395 := [unit-resolution #28398 #28394]: false
#28396 := [lemma #28395]: #12345
#29213 := [trans #28396 #29212]: #26897
#26908 := (or #26904 #26906)
#28216 := (or #24868 #26904 #26906)
#26907 := (or #26906 #26904)
#28217 := (or #24868 #26907)
#28279 := (iff #28217 #28216)
#28259 := (or #24868 #26908)
#28270 := (iff #28259 #28216)
#28271 := [rewrite]: #28270
#28260 := (iff #28217 #28259)
#26909 := (iff #26907 #26908)
#26910 := [rewrite]: #26909
#28212 := [monotonicity #26910]: #28260
#28280 := [trans #28212 #28271]: #28279
#28223 := [quant-inst]: #28217
#28265 := [mp #28223 #28280]: #28216
#29214 := [unit-resolution #28265 #18153]: #26908
#29215 := [unit-resolution #29214 #29213]: #26906
#29226 := [symm #29215]: #29225
#29229 := (= #27192 #26905)
#27651 := (* #25803 #27025)
#27654 := (+ #26062 #27651)
#27657 := (uf_43 #23566 #27654)
#29223 := (= #27657 #26905)
#29217 := (= #27654 #26846)
#29170 := (= #26846 #27654)
#29171 := (* -1::int #27654)
#29172 := (+ #26846 #29171)
#29173 := (<= #29172 0::int)
#28024 := (* -1::int #25805)
#28025 := (+ #23468 #28024)
#28027 := (>= #28025 0::int)
#28017 := (= #23468 #25805)
#29165 := (= #2961 #25805)
#29247 := [symm #25698]: #29165
#29210 := [trans #27412 #29247]: #28017
#29176 := (not #28017)
#29255 := (or #29176 #28027)
#29256 := [th-lemma]: #29255
#29257 := [unit-resolution #29256 #29210]: #28027
#28574 := (* -1::int #26062)
#28575 := (+ #23468 #28574)
#28576 := (<= #28575 0::int)
#28573 := (= #23468 #26062)
#29258 := [symm #27411]: #28573
#29259 := (not #28573)
#29260 := (or #29259 #28576)
#29261 := [th-lemma]: #29260
#29262 := [unit-resolution #29261 #29258]: #28576
#28268 := (uf_116 #28124)
#28272 := (* -1::int #28268)
#28498 := (+ #26846 #28272)
#28499 := (<= #28498 0::int)
#28488 := (= #26846 #28268)
#29267 := (= #28268 #26846)
#29265 := (= #28124 #3180)
#29263 := (= #28124 #28119)
#29264 := [symm #28401]: #29263
#29266 := [trans #29264 #28405]: #29265
#29268 := [monotonicity #29266]: #29267
#29269 := [symm #29268]: #28488
#29270 := (not #28488)
#29271 := (or #29270 #28499)
#29272 := [th-lemma]: #29271
#29273 := [unit-resolution #29272 #29269]: #28499
#28273 := (+ #26996 #28272)
#28274 := (+ #25805 #28273)
#28466 := (>= #28274 0::int)
#28275 := (= #28274 0::int)
#28475 := (or #23639 #28275)
#28269 := (= #28123 #28268)
#28476 := (or #23639 #28269)
#28460 := (iff #28476 #28475)
#28462 := (iff #28475 #28475)
#28457 := [rewrite]: #28462
#28276 := (iff #28269 #28275)
#28277 := [rewrite]: #28276
#28461 := [monotonicity #28277]: #28460
#28463 := [trans #28461 #28457]: #28460
#28459 := [quant-inst]: #28476
#28464 := [mp #28459 #28463]: #28475
#29274 := [unit-resolution #28464 #23137]: #28275
#29275 := (not #28275)
#29276 := (or #29275 #28466)
#29277 := [th-lemma]: #29276
#29278 := [unit-resolution #29277 #29274]: #28466
#28101 := (>= #28099 0::int)
#29279 := (or #29189 #28101)
#29280 := [th-lemma]: #29279
#29281 := [unit-resolution #29280 #29188]: #28101
#28308 := (<= #28307 0::int)
#28338 := (or #28337 #28308)
#28339 := [th-lemma]: #28338
#28340 := [unit-resolution #28339 #28311]: #28308
#28029 := (>= #25803 1::int)
#28028 := (= #25803 1::int)
#2932 := (uf_139 uf_7)
#2933 := (= #2932 1::int)
#11835 := [asserted]: #2933
#29282 := (= #25803 #2932)
#29283 := [monotonicity #25690]: #29282
#29284 := [trans #29283 #11835]: #28028
#29285 := (not #28028)
#29286 := (or #29285 #28029)
#29287 := [th-lemma]: #29286
#29288 := [unit-resolution #29287 #29284]: #28029
#28023 := (<= #25803 1::int)
#29289 := (or #29285 #28023)
#29290 := [th-lemma]: #29289
#29291 := [unit-resolution #29290 #29284]: #28023
#28341 := (not #28308)
#29298 := (not #28101)
#29297 := (not #28576)
#29296 := (not #28023)
#29295 := (not #28029)
#29294 := (not #28027)
#29293 := (not #28466)
#29292 := (not #28499)
#29299 := (or #29173 #29292 #29293 #29294 #29295 #29296 #29295 #29296 #29297 #29298 #28341)
#29300 := [th-lemma]: #29299
#29301 := [unit-resolution #29300 #29291 #29288 #28340 #29281 #29278 #29273 #29262 #29257]: #29173
#29174 := (>= #29172 0::int)
#28026 := (<= #28025 0::int)
#29302 := (or #29176 #28026)
#29303 := [th-lemma]: #29302
#29304 := [unit-resolution #29303 #29210]: #28026
#28577 := (>= #28575 0::int)
#29305 := (or #29259 #28577)
#29306 := [th-lemma]: #29305
#29307 := [unit-resolution #29306 #29258]: #28577
#28500 := (>= #28498 0::int)
#29308 := (or #29270 #28500)
#29309 := [th-lemma]: #29308
#29310 := [unit-resolution #29309 #29269]: #28500
#28465 := (<= #28274 0::int)
#29311 := (or #29275 #28465)
#29312 := [th-lemma]: #29311
#29313 := [unit-resolution #29312 #29274]: #28465
#29317 := (not #28577)
#29316 := (not #28026)
#29315 := (not #28465)
#29314 := (not #28500)
#29318 := (or #29174 #29314 #29315 #29316 #29295 #29296 #29295 #29296 #29317 #29193 #28385)
#29319 := [th-lemma]: #29318
#29320 := [unit-resolution #29319 #29291 #29288 #28383 #29192 #29313 #29310 #29307 #29304]: #29174
#29322 := (not #29174)
#29321 := (not #29173)
#29323 := (or #29170 #29321 #29322)
#29324 := [th-lemma]: #29323
#29325 := [unit-resolution #29324 #29320 #29301]: #29170
#28689 := [symm #29325]: #29217
#28690 := [monotonicity #28689]: #29223
#29227 := (= #27192 #27657)
#27640 := (uf_66 #24856 #27025 #23566)
#27660 := (= #27640 #27657)
#27663 := (not #27660)
#27641 := (uf_138 #27640 #24856)
#27642 := (= uf_9 #27641)
#27643 := (not #27642)
#27669 := (or #27643 #27663)
#27627 := (not #27669)
#28558 := (or #25566 #27627)
#27644 := (* #27025 #25803)
#27645 := (+ #26062 #27644)
#27646 := (uf_43 #23566 #27645)
#27647 := (= #27640 #27646)
#27648 := (not #27647)
#27649 := (or #27648 #27643)
#27650 := (not #27649)
#28559 := (or #25566 #27650)
#28561 := (iff #28559 #28558)
#28563 := (iff #28558 #28558)
#28564 := [rewrite]: #28563
#27625 := (iff #27650 #27627)
#27624 := (iff #27649 #27669)
#27666 := (or #27663 #27643)
#27670 := (iff #27666 #27669)
#27671 := [rewrite]: #27670
#27667 := (iff #27649 #27666)
#27664 := (iff #27648 #27663)
#27661 := (iff #27647 #27660)
#27658 := (= #27646 #27657)
#27655 := (= #27645 #27654)
#27652 := (= #27644 #27651)
#27653 := [rewrite]: #27652
#27656 := [monotonicity #27653]: #27655
#27659 := [monotonicity #27656]: #27658
#27662 := [monotonicity #27659]: #27661
#27665 := [monotonicity #27662]: #27664
#27668 := [monotonicity #27665]: #27667
#27626 := [trans #27668 #27671]: #27624
#27628 := [monotonicity #27626]: #27625
#28562 := [monotonicity #27628]: #28561
#28565 := [trans #28562 #28564]: #28561
#28560 := [quant-inst]: #28559
#28566 := [mp #28560 #28565]: #28558
#29219 := [unit-resolution #28566 #21109]: #27627
#28569 := (or #27669 #27660)
#28570 := [def-axiom]: #28569
#29220 := [unit-resolution #28570 #29219]: #27660
#29221 := (= #27192 #27640)
#29222 := [monotonicity #25843]: #29221
#29228 := [trans #29222 #29220]: #29227
#28664 := [trans #29228 #28690]: #29229
#28668 := [trans #28664 #29226]: #29231
#28660 := [monotonicity #28668]: #29233
#28667 := [symm #28660]: #29235
#28669 := [monotonicity #28667]: #29237
#28670 := [trans #28669 #29240]: #29241
#28671 := [trans #28670 #25865]: #29243
#28672 := [monotonicity #28671]: #28541
#28692 := [symm #28672]: #28691
#28693 := [trans #14262 #28692]: #27033
#28617 := (not #27033)
#28618 := (or #27089 #28617)
#28619 := [def-axiom]: #28618
#28661 := [unit-resolution #28619 #28693]: #27089
#28731 := (= #24105 #27047)
#28702 := (= #27047 #24105)
#28698 := (= #26922 uf_7)
#28678 := (= #26922 #23566)
#28278 := (or #28118 #26904 #26923)
#28300 := [def-axiom]: #28278
#28694 := [unit-resolution #28300 #29213 #28303]: #26923
#28681 := [symm #28694]: #28678
#28699 := [trans #28681 #25690]: #28698
#28701 := [monotonicity #28699]: #28702
#28732 := [symm #28701]: #28731
#28733 := [trans #27766 #28732]: #27065
#28597 := (not #27038)
#28679 := (iff #11881 #28597)
#28704 := (iff #11878 #27038)
#28703 := (iff #27038 #11878)
#28714 := (= #27037 #2971)
#28713 := (= #27036 #2958)
#28734 := (= #27036 #23686)
#28712 := [monotonicity #28671]: #28734
#28709 := [trans #28712 #25786]: #28713
#28688 := [monotonicity #28709]: #28714
#28550 := [monotonicity #28688]: #28703
#28705 := [symm #28550]: #28704
#28677 := [monotonicity #28705]: #28679
#28700 := [mp #14265 #28677]: #28597
#27260 := (uf_66 #25957 #27025 #23566)
#27261 := (uf_58 #3149 #27260)
#27262 := (uf_136 #27261)
#27263 := (= uf_9 #27262)
#28468 := (not #27263)
#28716 := (iff #28468 #27044)
#28728 := (iff #27263 #27043)
#28720 := (iff #27043 #27263)
#28706 := (= #27042 #27262)
#28818 := (= #26583 #27261)
#28749 := (= #27261 #26583)
#28745 := (= #27260 #3180)
#28743 := (= #27025 uf_294)
#28314 := (= #28151 uf_294)
#28315 := [symm #28311]: #28314
#28744 := [trans #29188 #28315]: #28743
#28746 := [monotonicity #26202 #28744 #25690]: #28745
#28826 := [monotonicity #28746]: #28749
#28819 := [symm #28826]: #28818
#28719 := [monotonicity #28819]: #28706
#28727 := [monotonicity #28719]: #28720
#28507 := [symm #28727]: #28728
#28521 := [monotonicity #28507]: #28716
#27264 := (uf_24 uf_273 #27260)
#27265 := (= uf_9 #27264)
#27266 := (not #27265)
#27270 := (or #27263 #27266)
#27273 := (not #27270)
#28443 := (or #25988 #22661 #25969 #25972 #27209 #27219 #27273)
#27267 := (or #27266 #27263)
#27268 := (not #27267)
#27269 := (or #25972 #27209 #27207 #22661 #25969 #27268)
#28444 := (or #25988 #27269)
#28450 := (iff #28444 #28443)
#27279 := (or #22661 #25969 #25972 #27209 #27219 #27273)
#28446 := (or #25988 #27279)
#28448 := (iff #28446 #28443)
#28449 := [rewrite]: #28448
#28447 := (iff #28444 #28446)
#27282 := (iff #27269 #27279)
#27276 := (or #25972 #27209 #27219 #22661 #25969 #27273)
#27280 := (iff #27276 #27279)
#27281 := [rewrite]: #27280
#27277 := (iff #27269 #27276)
#27274 := (iff #27268 #27273)
#27271 := (iff #27267 #27270)
#27272 := [rewrite]: #27271
#27275 := [monotonicity #27272]: #27274
#27278 := [monotonicity #27223 #27275]: #27277
#27283 := [trans #27278 #27281]: #27282
#28442 := [monotonicity #27283]: #28447
#28451 := [trans #28442 #28449]: #28450
#28445 := [quant-inst]: #28444
#28452 := [mp #28445 #28451]: #28443
#28742 := [unit-resolution #28452 #21553 #14251 #29207 #29177 #27341 #26234]: #27273
#28469 := (or #27270 #28468)
#28470 := [def-axiom]: #28469
#28737 := [unit-resolution #28470 #28742]: #28468
#28739 := [mp #28737 #28521]: #27044
#28612 := (or #27083 #27043)
#28613 := [def-axiom]: #28612
#28740 := [unit-resolution #28613 #28739]: #27083
#28608 := (or #27103 #27038 #27080 #27086 #27092)
#28544 := [def-axiom]: #28608
#28738 := [unit-resolution #28544 #28740 #28700 #28733 #28661 #28658]: false
#28741 := [lemma #28738]: #27103
#28624 := (or #27106 #27098)
#28625 := [def-axiom]: #28624
#29039 := [unit-resolution #28625 #28741]: #27106
#28224 := (uf_66 #25957 #28151 #23566)
#28228 := (uf_24 uf_273 #28224)
#28229 := (= uf_9 #28228)
#28230 := (not #28229)
#28225 := (uf_58 #3149 #28224)
#28226 := (uf_136 #28225)
#28227 := (= uf_9 #28226)
#28234 := (or #28227 #28230)
#28324 := (iff #18428 #28230)
#28322 := (iff #12348 #28229)
#28320 := (iff #28229 #12348)
#28318 := (= #28228 #3183)
#28316 := (= #28224 #3180)
#28317 := [monotonicity #26202 #28315 #25690]: #28316
#28319 := [monotonicity #28317]: #28318
#28321 := [monotonicity #28319]: #28320
#28323 := [symm #28321]: #28322
#28325 := [monotonicity #28323]: #28324
#28310 := [hypothesis]: #18428
#28326 := [mp #28310 #28325]: #28230
#28262 := (or #28234 #28229)
#28263 := [def-axiom]: #28262
#28327 := [unit-resolution #28263 #28326]: #28234
#28172 := (>= #28151 0::int)
#22803 := (or #23367 #13930)
#22793 := [def-axiom]: #22803
#28336 := [unit-resolution #22793 #28335]: #13930
#28342 := (or #28172 #22487 #28341)
#28343 := [th-lemma]: #28342
#28344 := [unit-resolution #28343 #28340 #28336]: #28172
#28182 := (+ #23568 #28181)
#28183 := (<= #28182 0::int)
#28384 := (not #28183)
#28386 := (or #28384 #26240 #13697 #28385)
#28387 := [th-lemma]: #28386
#28388 := [unit-resolution #28387 #28383 #28380 #26238]: #28384
#28237 := (not #28234)
#28173 := (not #28172)
#28390 := (or #28173 #28183 #28237)
#28248 := (or #25988 #22661 #25969 #25972 #28173 #28183 #28237)
#28231 := (or #28230 #28227)
#28232 := (not #28231)
#28170 := (+ #28151 #25898)
#28171 := (>= #28170 0::int)
#28233 := (or #25972 #28173 #28171 #22661 #25969 #28232)
#28249 := (or #25988 #28233)
#28256 := (iff #28249 #28248)
#28243 := (or #22661 #25969 #25972 #28173 #28183 #28237)
#28251 := (or #25988 #28243)
#28254 := (iff #28251 #28248)
#28255 := [rewrite]: #28254
#28252 := (iff #28249 #28251)
#28246 := (iff #28233 #28243)
#28240 := (or #25972 #28173 #28183 #22661 #25969 #28237)
#28244 := (iff #28240 #28243)
#28245 := [rewrite]: #28244
#28241 := (iff #28233 #28240)
#28238 := (iff #28232 #28237)
#28235 := (iff #28231 #28234)
#28236 := [rewrite]: #28235
#28239 := [monotonicity #28236]: #28238
#28186 := (iff #28171 #28183)
#28175 := (+ #25898 #28151)
#28178 := (>= #28175 0::int)
#28184 := (iff #28178 #28183)
#28185 := [rewrite]: #28184
#28179 := (iff #28171 #28178)
#28176 := (= #28170 #28175)
#28177 := [rewrite]: #28176
#28180 := [monotonicity #28177]: #28179
#28187 := [trans #28180 #28185]: #28186
#28242 := [monotonicity #28187 #28239]: #28241
#28247 := [trans #28242 #28245]: #28246
#28253 := [monotonicity #28247]: #28252
#28257 := [trans #28253 #28255]: #28256
#28250 := [quant-inst]: #28249
#28258 := [mp #28250 #28257]: #28248
#28391 := [unit-resolution #28258 #21553 #14251 #27341 #26234]: #28390
#28392 := [unit-resolution #28391 #28388 #28344 #28327]: false
#28393 := [lemma #28392]: #12348
#28676 := (or #27115 #18428 #27109)
#28663 := [def-axiom]: #28676
#29045 := [unit-resolution #28663 #28393 #29039]: #27115
#28636 := (or #28635 #12354 #27112)
#28634 := [def-axiom]: #28636
#29048 := [unit-resolution #28634 #29045]: #29058
#29033 := [unit-resolution #29048 #28730]: #12354
#29036 := (or #18434 #23258)
#22696 := (not #18799)
#22967 := (+ uf_293 #13488)
#22969 := (>= #22967 0::int)
#28951 := [hypothesis]: #23288
#22959 := (or #23285 #12647)
#22960 := [def-axiom]: #22959
#28952 := [unit-resolution #22960 #28951]: #12647
#28947 := (or #12653 #22969)
#28953 := [th-lemma]: #28947
#28949 := [unit-resolution #28953 #28952]: #22969
#28954 := (not #22969)
#28935 := (or #13491 #28954)
#28955 := (or #13491 #13875 #28954)
#28956 := [th-lemma]: #28955
#28936 := [unit-resolution #28956 #28349]: #28935
#28943 := [unit-resolution #28936 #28949]: #13491
#28962 := (= #3074 #3222)
#28959 := (= #3222 #3074)
#28940 := (= #3221 #3073)
#28944 := [symm #28952]: #3259
#28945 := [monotonicity #28944]: #28940
#28961 := [monotonicity #28945]: #28959
#28960 := [symm #28961]: #28962
#28963 := (= uf_303 #3074)
#22965 := (or #23285 #12644)
#22970 := [def-axiom]: #22965
#28946 := [unit-resolution #22970 #28951]: #12644
#28942 := [symm #28946]: #3258
#28964 := [trans #28942 #28347]: #28963
#28965 := [trans #28964 #28960]: #12404
#22823 := (or #22233 #22231 #13490)
#23030 := [def-axiom]: #22823
#28966 := [unit-resolution #23030 #28965 #28943]: #22233
#22704 := (or #23219 #22232)
#22705 := [def-axiom]: #22704
#28939 := [unit-resolution #22705 #28966]: #23219
#22952 := (or #23285 #23249)
#22953 := [def-axiom]: #22952
#28967 := [unit-resolution #22953 #28951]: #23249
#28980 := (or #23252 #23246)
#27793 := (or #15796 #13697)
#15707 := (<= uf_272 4294967295::int)
#15710 := (iff #13337 #15707)
#15701 := (+ 4294967295::int #13338)
#15704 := (>= #15701 0::int)
#15708 := (iff #15704 #15707)
#15709 := [rewrite]: #15708
#15705 := (iff #13337 #15704)
#15702 := (= #13339 #15701)
#15703 := [monotonicity #7505]: #15702
#15706 := [monotonicity #15703]: #15705
#15711 := [trans #15706 #15709]: #15710
#14253 := [not-or-elim #14242]: #13342
#14255 := [and-elim #14253]: #13337
#15712 := [mp #14255 #15711]: #15707
#27784 := [hypothesis]: #13698
#27785 := [hypothesis]: #18466
#27792 := [th-lemma #27785 #27784 #15712]: false
#27191 := [lemma #27792]: #27793
#28941 := [unit-resolution #27191 #28380]: #15796
#28976 := (or #13552 #13430)
#28977 := [th-lemma]: #28976
#28978 := [unit-resolution #28977 #28968]: #13430
#23007 := (or #23252 #18463 #18466 #23246)
#23004 := [def-axiom]: #23007
#28982 := [unit-resolution #23004 #28978 #28941]: #28980
#28983 := [unit-resolution #28982 #28967]: #23246
#23010 := (or #23243 #23237)
#23014 := [def-axiom]: #23010
#28984 := [unit-resolution #23014 #28983]: #23237
#22720 := (>= #13515 -1::int)
#22734 := (or #23243 #13514)
#22735 := [def-axiom]: #22734
#28979 := [unit-resolution #22735 #28983]: #13514
#28985 := (or #13518 #22720)
#28981 := [th-lemma]: #28985
#28986 := [unit-resolution #28981 #28979]: #22720
#28682 := (not #22720)
#28683 := (or #13446 #28682)
#28696 := [hypothesis]: #22720
#28697 := [hypothesis]: #13451
#28596 := [th-lemma #28697 #28380 #28696]: false
#28684 := [lemma #28596]: #28683
#28958 := [unit-resolution #28684 #28986]: #13446
#23029 := (or #23240 #13451 #23234)
#23015 := [def-axiom]: #23029
#28969 := [unit-resolution #23015 #28958 #28984]: #23234
#23024 := (or #23231 #23225)
#22662 := [def-axiom]: #23024
#28957 := [unit-resolution #22662 #28969]: #23225
#23021 := (or #23228 #23222 #22285)
#23022 := [def-axiom]: #23021
#29004 := [unit-resolution #23022 #28957 #28939]: #22285
#23032 := (or #22280 #22696)
#22692 := [def-axiom]: #23032
#28972 := [unit-resolution #22692 #29004]: #22696
#28754 := (+ uf_294 #18797)
#28950 := (>= #28754 0::int)
#28970 := (not #28950)
#29109 := (= uf_294 ?x786!14)
#29144 := (not #29109)
#22950 := (or #23285 #13604)
#22951 := [def-axiom]: #22950
#28973 := [unit-resolution #22951 #28951]: #13604
#22958 := (+ uf_292 #13466)
#22955 := (<= #22958 0::int)
#28971 := (or #12662 #22955)
#28974 := [th-lemma]: #28971
#28975 := [unit-resolution #28974 #28946]: #22955
#23033 := (not #18812)
#22676 := (or #22280 #23033)
#23017 := [def-axiom]: #22676
#29000 := [unit-resolution #23017 #29004]: #23033
#29131 := (not #22955)
#29132 := (or #29130 #18812 #29131 #13603)
#29125 := [hypothesis]: #13604
#29126 := [hypothesis]: #22955
#29127 := [hypothesis]: #23033
#29128 := [hypothesis]: #29120
#29129 := [th-lemma #29128 #29127 #29126 #29125]: false
#29133 := [lemma #29129]: #29132
#29001 := [unit-resolution #29133 #29000 #28975 #28973]: #29130
#29121 := (or #29119 #29120)
#29122 := [th-lemma]: #29121
#29002 := [unit-resolution #29122 #29001]: #29119
#29145 := (or #29144 #29114)
#29140 := (= #18489 #3189)
#29138 := (= #18488 #3180)
#29136 := (= ?x786!14 uf_294)
#29135 := [hypothesis]: #29109
#29137 := [symm #29135]: #29136
#29139 := [monotonicity #29137]: #29138
#29141 := [monotonicity #29139]: #29140
#29142 := [symm #29141]: #29114
#29134 := [hypothesis]: #29119
#29143 := [unit-resolution #29134 #29142]: false
#29146 := [lemma #29143]: #29145
#29003 := [unit-resolution #29146 #29002]: #29144
#29019 := (or #29109 #28970)
#28748 := (<= #28754 0::int)
#28780 := (+ uf_292 #18810)
#28781 := (>= #28780 0::int)
#28989 := (not #28781)
#29005 := (or #28989 #18812 #29131)
#29007 := [th-lemma]: #29005
#29008 := [unit-resolution #29007 #28975 #29000]: #28989
#28988 := (or #28748 #28781)
#23031 := (or #22280 #18485)
#22691 := [def-axiom]: #23031
#29006 := [unit-resolution #22691 #29004]: #18485
#23035 := (or #22280 #18484)
#23041 := [def-axiom]: #23035
#29009 := [unit-resolution #23041 #29004]: #18484
#28794 := (or #23208 #22264 #22265 #28748 #28781)
#28750 := (+ #18489 #13902)
#28751 := (<= #28750 0::int)
#28752 := (+ ?x786!14 #13433)
#28761 := (>= #28752 0::int)
#28762 := (or #22265 #28761 #28751 #22264)
#28795 := (or #23208 #28762)
#28802 := (iff #28795 #28794)
#28789 := (or #22264 #22265 #28748 #28781)
#28797 := (or #23208 #28789)
#28800 := (iff #28797 #28794)
#28801 := [rewrite]: #28800
#28798 := (iff #28795 #28797)
#28792 := (iff #28762 #28789)
#28786 := (or #22265 #28748 #28781 #22264)
#28790 := (iff #28786 #28789)
#28791 := [rewrite]: #28790
#28787 := (iff #28762 #28786)
#28784 := (iff #28751 #28781)
#28759 := (+ #13902 #18489)
#28770 := (<= #28759 0::int)
#28782 := (iff #28770 #28781)
#28783 := [rewrite]: #28782
#28778 := (iff #28751 #28770)
#28760 := (= #28750 #28759)
#28769 := [rewrite]: #28760
#28779 := [monotonicity #28769]: #28778
#28785 := [trans #28779 #28783]: #28784
#28757 := (iff #28761 #28748)
#28763 := (+ #13433 ?x786!14)
#28766 := (>= #28763 0::int)
#28755 := (iff #28766 #28748)
#28756 := [rewrite]: #28755
#28747 := (iff #28761 #28766)
#28764 := (= #28752 #28763)
#28765 := [rewrite]: #28764
#28753 := [monotonicity #28765]: #28747
#28758 := [trans #28753 #28756]: #28757
#28788 := [monotonicity #28758 #28785]: #28787
#28793 := [trans #28788 #28791]: #28792
#28799 := [monotonicity #28793]: #28798
#28803 := [trans #28799 #28801]: #28802
#28796 := [quant-inst]: #28795
#28804 := [mp #28796 #28803]: #28794
#28990 := [unit-resolution #28804 #28346 #29009 #29006]: #28988
#28991 := [unit-resolution #28990 #29008]: #28748
#28992 := (not #28748)
#28995 := (or #29109 #28992 #28970)
#28999 := [th-lemma]: #28995
#28998 := [unit-resolution #28999 #28991]: #29019
#29020 := [unit-resolution #28998 #29003]: #28970
#29021 := [th-lemma #29020 #28986 #28972]: false
#29022 := [lemma #29021]: #23285
#28539 := (or #23261 #23288 #18425)
#28527 := [hypothesis]: #23285
#28528 := [hypothesis]: #12345
#28102 := [hypothesis]: #23306
#22938 := (or #23303 #12345)
#22928 := [def-axiom]: #22938
#28103 := [unit-resolution #22928 #28102]: #12345
#22911 := (or #23309 #23303)
#22907 := [def-axiom]: #22911
#28104 := [unit-resolution #22907 #28102]: #23309
#22898 := (or #23321 #23315)
#22899 := [def-axiom]: #22898
#28105 := [unit-resolution #22899 #28379]: #23315
#22889 := (or #23318 #18425 #18428 #23312)
#22890 := [def-axiom]: #22889
#28106 := [unit-resolution #22890 #28105]: #23315
#28107 := [unit-resolution #28106 #28104 #28103 #28393]: false
#28088 := [lemma #28107]: #23303
#28531 := [hypothesis]: #23264
#22824 := (or #23261 #12354)
#22825 := [def-axiom]: #22824
#28532 := [unit-resolution #22825 #28531]: #12354
#22921 := (or #23306 #18425 #18434 #23300)
#22922 := [def-axiom]: #22921
#28533 := [unit-resolution #22922 #28532 #28088 #28528]: #23300
#22934 := (or #23297 #23291)
#22935 := [def-axiom]: #22934
#28534 := [unit-resolution #22935 #28533]: #23291
#22867 := (or #23267 #23261)
#22826 := [def-axiom]: #22867
#28535 := [unit-resolution #22826 #28531]: #23267
#22878 := (or #23276 #18425 #18428 #23270)
#22871 := [def-axiom]: #22878
#28536 := [unit-resolution #22871 #28535 #28393 #28528]: #23276
#22973 := (or #23279 #23273)
#22977 := [def-axiom]: #22973
#28537 := [unit-resolution #22977 #28536]: #23279
#22945 := (or #23294 #23282 #23288)
#22942 := [def-axiom]: #22945
#28538 := [unit-resolution #22942 #28537 #28534 #28527]: false
#28540 := [lemma #28538]: #28539
#29035 := [unit-resolution #28540 #29022 #28396]: #23261
#22981 := (or #23264 #18425 #18434 #23258)
#22982 := [def-axiom]: #22981
#28715 := [unit-resolution #22982 #28396 #29035]: #29036
#28908 := [unit-resolution #28715 #29033]: #23258
#22843 := (or #23255 #12365)
#22844 := [def-axiom]: #22843
#28948 := [unit-resolution #22844 #28908]: #12365
#22996 := (or #23255 #12360)
#23002 := [def-axiom]: #22996
#28816 := [unit-resolution #23002 #28908]: #12360
#29012 := [trans #28816 #28948]: #28823
#29010 := (not #28823)
#29013 := (or #29010 #28825)
#29032 := [th-lemma]: #29013
#28994 := [unit-resolution #29032 #29012]: #28825
#22985 := (or #23255 #23249)
#22991 := [def-axiom]: #22985
#29023 := [unit-resolution #22991 #28908]: #23249
#29062 := [unit-resolution #28982 #29023]: #23246
#29059 := [unit-resolution #23014 #29062]: #23237
#29060 := [unit-resolution #22735 #29062]: #13514
#29063 := [unit-resolution #28981 #29060]: #22720
#29075 := [unit-resolution #28684 #29063]: #13446
#29077 := [unit-resolution #23015 #29075 #29059]: #23234
#29049 := [unit-resolution #22662 #29077]: #23225
#29069 := (= #3189 #3222)
#29067 := (= #3222 #3189)
#29051 := (= #3221 #3180)
#22845 := (or #23255 #12368)
#22987 := [def-axiom]: #22845
#29052 := [unit-resolution #22987 #28908]: #12368
#29061 := [symm #29052]: #3201
#29066 := [monotonicity #29061]: #29051
#28987 := [monotonicity #29066]: #29067
#29070 := [symm #28987]: #29069
#29073 := (= uf_303 #3189)
#29037 := [symm #28816]: #3192
#29068 := [symm #28948]: #3199
#29074 := [trans #29068 #29037]: #29073
#29050 := [trans #29074 #29070]: #12404
#28659 := (+ uf_294 #13488)
#28680 := (>= #28659 0::int)
#29079 := (or #12515 #28680)
#29076 := [th-lemma]: #29079
#29099 := [unit-resolution #29076 #29052]: #28680
#29105 := (not #28680)
#29106 := (or #13491 #29105 #13697)
#29100 := [th-lemma]: #29106
#29101 := [unit-resolution #29100 #28380 #29099]: #13491
#29102 := [unit-resolution #23030 #29101 #29050]: #22233
#29103 := [unit-resolution #22705 #29102]: #23219
#29078 := [unit-resolution #23022 #29103 #29049]: #22285
#29080 := [unit-resolution #23017 #29078]: #23033
#29072 := (not #28825)
#29081 := (or #29130 #18812 #29072)
#29082 := [th-lemma]: #29081
#29083 := [unit-resolution #29082 #29080 #28994]: #29130
#29086 := [unit-resolution #29122 #29083]: #29119
#29087 := [unit-resolution #22692 #29078]: #22696
#29104 := (or #28950 #18799 #28682)
#29112 := [th-lemma]: #29104
#29071 := [unit-resolution #29112 #29087 #29063]: #28950
#29108 := (or #18434 #23300)
#29107 := [unit-resolution #22922 #28088]: #23303
#29088 := [unit-resolution #29107 #28396]: #29108
#29111 := [unit-resolution #29088 #29033]: #23300
#29084 := [unit-resolution #22935 #29111]: #23291
#29089 := (or #23294 #23282)
#29090 := [unit-resolution #22942 #29022]: #29089
#29085 := [unit-resolution #29090 #29084]: #23282
#22883 := (or #23279 #13603)
#22976 := [def-axiom]: #22883
#29091 := [unit-resolution #22976 #29085]: #13603
#29110 := (or #22955 #29072 #13604)
#29113 := [th-lemma]: #29110
#29056 := [unit-resolution #29113 #29091 #28994]: #22955
#29030 := [unit-resolution #29007 #29080 #29056]: #28989
#29115 := [unit-resolution #22691 #29078]: #18485
#29092 := [unit-resolution #23041 #29078]: #18484
#29147 := [unit-resolution #28804 #28346 #29092 #29115 #29030]: #28748
#29148 := [unit-resolution #28999 #29147 #29071]: #29109
[unit-resolution #29146 #29148 #29086]: false
unsat