# HG changeset patch # User boehmes # Date 1257428920 -3600 # Node ID f0c78a28e18e52d9532e90521a711d668c4a5958 # Parent cba964797872533dbea59148a36ea0e28fe8c26b shorter names for variables and verification conditions, auto-fix variables occurring in a verification condition diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/Boogie_Dijkstra.thy --- a/src/HOL/Boogie/Examples/Boogie_Dijkstra.thy Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Dijkstra.thy Thu Nov 05 14:48:40 2009 +0100 @@ -81,9 +81,9 @@ boogie_open "~~/src/HOL/Boogie/Examples/Boogie_Dijkstra" -boogie_vc b_Dijkstra +boogie_vc Dijkstra unfolding labels - using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra"]] + using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra"]] using [[z3_proofs=true]] by (smt boogie) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/Boogie_Max.thy --- a/src/HOL/Boogie/Examples/Boogie_Max.thy Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/Boogie/Examples/Boogie_Max.thy Thu Nov 05 14:48:40 2009 +0100 @@ -41,9 +41,9 @@ text {* Approach 1: Discharge the verification condition fully automatically by SMT: *} -boogie_vc b_max +boogie_vc max unfolding labels - using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/Boogie_b_max"]] + using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/Boogie_max"]] using [[z3_proofs=true]] by (smt boogie) @@ -53,7 +53,7 @@ explicit proof. This approach is most useful in an interactive debug-and-fix mode. *} -boogie_vc b_max +boogie_vc max proof (split_vc (verbose) try: fast simp) print_cases case L_14_5c diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/VCC_Max.thy --- a/src/HOL/Boogie/Examples/VCC_Max.thy Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/Boogie/Examples/VCC_Max.thy Thu Nov 05 14:48:40 2009 +0100 @@ -48,9 +48,9 @@ boogie_status -boogie_vc b_maximum +boogie_vc maximum unfolding labels - using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/VCC_b_maximum"]] + using [[smt_cert="~~/src/HOL/Boogie/Examples/cert/VCC_maximum"]] using [[z3_proofs=true]] by (smt boogie) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_Dijkstra --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,43 @@ +(benchmark Isabelle +:extrasorts ( T1 T4 T3 T5 T2) +:extrafuns ( + (uf_2 T1 T2) + (uf_3 T1 T2) + (uf_1 T2 T2 T1) + (uf_8 T5) + (uf_7 T4 T2 T5 T4) + (uf_5 T3 T2 Int T3) + (uf_6 T4 T2 T5) + (uf_4 T3 T2 Int) + (uf_10 T1 Int) + (uf_11 T2) + (uf_9 Int) + (uf_21 T2) + (uf_16 T2) + (uf_20 T2) + (uf_12 T2 Int) + (uf_14 T3) + (uf_18 T2 Int) + (uf_22 T3) + (uf_24 T3) + (uf_23 T3) + (uf_15 T4) + (uf_17 T4) + (uf_19 T4) + ) +:extrapreds ( + (up_13 T2) + ) +:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1) (uf_3 ?x1)) ?x1)) +:assumption (forall (?x2 T2) (?x3 T2) (= (uf_3 (uf_1 ?x2 ?x3)) ?x3)) +:assumption (forall (?x4 T2) (?x5 T2) (= (uf_2 (uf_1 ?x4 ?x5)) ?x4)) +:assumption (forall (?x6 T3) (?x7 T2) (?x8 Int) (?x9 T2) (= (uf_4 (uf_5 ?x6 ?x7 ?x8) ?x9) (ite (= ?x9 ?x7) ?x8 (uf_4 ?x6 ?x9)))) +:assumption (forall (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2) (iff (= (uf_6 (uf_7 ?x10 ?x11 ?x12) ?x13) uf_8) (if_then_else (= ?x13 ?x11) (= ?x12 uf_8) (= (uf_6 ?x10 ?x13) uf_8)))) +:assumption (forall (?x14 T3) (?x15 T2) (?x16 Int) (= (uf_4 (uf_5 ?x14 ?x15 ?x16) ?x15) ?x16)) +:assumption (forall (?x17 T4) (?x18 T2) (?x19 T5) (iff (= (uf_6 (uf_7 ?x17 ?x18 ?x19) ?x18) uf_8) (= ?x19 uf_8))) +:assumption (< 0 uf_9) +:assumption (forall (?x20 T2) (?x21 T2) (implies (= ?x20 ?x21) (= (uf_10 (uf_1 ?x20 ?x21)) 0))) +:assumption (forall (?x22 T2) (?x23 T2) (implies (not (= ?x22 ?x23)) (< 0 (uf_10 (uf_1 ?x22 ?x23))))) +:assumption (not (implies true (implies true (implies (forall (?x24 T2) (implies (= ?x24 uf_11) (= (uf_12 ?x24) 0))) (implies (forall (?x25 T2) (implies (not (= ?x25 uf_11)) (= (uf_12 ?x25) uf_9))) (implies (forall (?x26 T2) (not (up_13 ?x26))) (implies true (and (implies (= (uf_12 uf_11) 0) (and (implies (forall (?x27 T2) (<= 0 (uf_12 ?x27))) (and (implies (forall (?x28 T2) (?x29 T2) (implies (and (up_13 ?x28) (not (up_13 ?x29))) (<= (uf_12 ?x28) (uf_12 ?x29)))) (and (implies (forall (?x30 T2) (?x31 T2) (implies (and (< (uf_10 (uf_1 ?x31 ?x30)) uf_9) (up_13 ?x31)) (<= (uf_12 ?x30) (+ (uf_12 ?x31) (uf_10 (uf_1 ?x31 ?x30)))))) (and (implies (forall (?x32 T2) (implies (and (< (uf_12 ?x32) uf_9) (not (= ?x32 uf_11))) (exists (?x33 T2) (and (= (uf_12 ?x32) (+ (uf_12 ?x33) (uf_10 (uf_1 ?x33 ?x32)))) (and (up_13 ?x33) (< (uf_12 ?x33) (uf_12 ?x32))))))) (implies true (implies true (implies (= (uf_4 uf_14 uf_11) 0) (implies (forall (?x34 T2) (<= 0 (uf_4 uf_14 ?x34))) (implies (forall (?x35 T2) (?x36 T2) (implies (and (= (uf_6 uf_15 ?x35) uf_8) (not (= (uf_6 uf_15 ?x36) uf_8))) (<= (uf_4 uf_14 ?x35) (uf_4 uf_14 ?x36)))) (implies (forall (?x37 T2) (?x38 T2) (implies (and (< (uf_10 (uf_1 ?x38 ?x37)) uf_9) (= (uf_6 uf_15 ?x38) uf_8)) (<= (uf_4 uf_14 ?x37) (+ (uf_4 uf_14 ?x38) (uf_10 (uf_1 ?x38 ?x37)))))) (implies (forall (?x39 T2) (implies (and (< (uf_4 uf_14 ?x39) uf_9) (not (= ?x39 uf_11))) (exists (?x40 T2) (and (= (uf_4 uf_14 ?x39) (+ (uf_4 uf_14 ?x40) (uf_10 (uf_1 ?x40 ?x39)))) (and (= (uf_6 uf_15 ?x40) uf_8) (< (uf_4 uf_14 ?x40) (uf_4 uf_14 ?x39))))))) (implies true (and (implies true (implies true (implies (exists (?x41 T2) (and (< (uf_4 uf_14 ?x41) uf_9) (not (= (uf_6 uf_15 ?x41) uf_8)))) (implies (not (= (uf_6 uf_15 uf_16) uf_8)) (implies (< (uf_4 uf_14 uf_16) uf_9) (implies (forall (?x42 T2) (implies (not (= (uf_6 uf_15 ?x42) uf_8)) (<= (uf_4 uf_14 uf_16) (uf_4 uf_14 ?x42)))) (implies (= uf_17 (uf_7 uf_15 uf_16 uf_8)) (implies (forall (?x43 T2) (implies (and (< (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x43))) (uf_4 uf_14 ?x43)) (< (uf_10 (uf_1 uf_16 ?x43)) uf_9)) (= (uf_18 ?x43) (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x43)))))) (implies (forall (?x44 T2) (implies (not (and (< (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x44))) (uf_4 uf_14 ?x44)) (< (uf_10 (uf_1 uf_16 ?x44)) uf_9))) (= (uf_18 ?x44) (uf_4 uf_14 ?x44)))) (and (implies (forall (?x45 T2) (<= (uf_18 ?x45) (uf_4 uf_14 ?x45))) (and (implies (forall (?x46 T2) (implies (= (uf_6 uf_17 ?x46) uf_8) (= (uf_18 ?x46) (uf_4 uf_14 ?x46)))) (implies true (implies true (and (implies (= (uf_18 uf_11) 0) (and (implies (forall (?x47 T2) (<= 0 (uf_18 ?x47))) (and (implies (forall (?x48 T2) (?x49 T2) (implies (and (= (uf_6 uf_17 ?x48) uf_8) (not (= (uf_6 uf_17 ?x49) uf_8))) (<= (uf_18 ?x48) (uf_18 ?x49)))) (and (implies (forall (?x50 T2) (?x51 T2) (implies (and (< (uf_10 (uf_1 ?x51 ?x50)) uf_9) (= (uf_6 uf_17 ?x51) uf_8)) (<= (uf_18 ?x50) (+ (uf_18 ?x51) (uf_10 (uf_1 ?x51 ?x50)))))) (and (implies (forall (?x52 T2) (implies (and (< (uf_18 ?x52) uf_9) (not (= ?x52 uf_11))) (exists (?x53 T2) (and (= (uf_18 ?x52) (+ (uf_18 ?x53) (uf_10 (uf_1 ?x53 ?x52)))) (and (= (uf_6 uf_17 ?x53) uf_8) (< (uf_18 ?x53) (uf_18 ?x52))))))) (implies false true)) (forall (?x54 T2) (implies (and (< (uf_18 ?x54) uf_9) (not (= ?x54 uf_11))) (exists (?x55 T2) (and (= (uf_18 ?x54) (+ (uf_18 ?x55) (uf_10 (uf_1 ?x55 ?x54)))) (and (= (uf_6 uf_17 ?x55) uf_8) (< (uf_18 ?x55) (uf_18 ?x54))))))))) (forall (?x56 T2) (?x57 T2) (implies (and (< (uf_10 (uf_1 ?x57 ?x56)) uf_9) (= (uf_6 uf_17 ?x57) uf_8)) (<= (uf_18 ?x56) (+ (uf_18 ?x57) (uf_10 (uf_1 ?x57 ?x56)))))))) (forall (?x58 T2) (?x59 T2) (implies (and (= (uf_6 uf_17 ?x58) uf_8) (not (= (uf_6 uf_17 ?x59) uf_8))) (<= (uf_18 ?x58) (uf_18 ?x59)))))) (forall (?x60 T2) (<= 0 (uf_18 ?x60))))) (= (uf_18 uf_11) 0))))) (forall (?x61 T2) (implies (= (uf_6 uf_17 ?x61) uf_8) (= (uf_18 ?x61) (uf_4 uf_14 ?x61)))))) (forall (?x62 T2) (<= (uf_18 ?x62) (uf_4 uf_14 ?x62))))))))))))) (implies true (implies true (implies (not (exists (?x63 T2) (and (< (uf_4 uf_14 ?x63) uf_9) (not (= (uf_6 uf_15 ?x63) uf_8))))) (implies true (implies true (implies (= uf_19 uf_15) (implies (= uf_20 uf_21) (implies (= uf_22 uf_14) (implies (= uf_23 uf_24) (implies true (and (implies (forall (?x64 T2) (implies (and (< (uf_4 uf_22 ?x64) uf_9) (not (= ?x64 uf_11))) (exists (?x65 T2) (and (= (uf_4 uf_22 ?x64) (+ (uf_4 uf_22 ?x65) (uf_10 (uf_1 ?x65 ?x64)))) (< (uf_4 uf_22 ?x65) (uf_4 uf_22 ?x64)))))) (and (implies (forall (?x66 T2) (?x67 T2) (implies (and (< (uf_10 (uf_1 ?x67 ?x66)) uf_9) (< (uf_4 uf_22 ?x67) uf_9)) (<= (uf_4 uf_22 ?x66) (+ (uf_4 uf_22 ?x67) (uf_10 (uf_1 ?x67 ?x66)))))) (and (implies (= (uf_4 uf_22 uf_11) 0) true) (= (uf_4 uf_22 uf_11) 0))) (forall (?x68 T2) (?x69 T2) (implies (and (< (uf_10 (uf_1 ?x69 ?x68)) uf_9) (< (uf_4 uf_22 ?x69) uf_9)) (<= (uf_4 uf_22 ?x68) (+ (uf_4 uf_22 ?x69) (uf_10 (uf_1 ?x69 ?x68)))))))) (forall (?x70 T2) (implies (and (< (uf_4 uf_22 ?x70) uf_9) (not (= ?x70 uf_11))) (exists (?x71 T2) (and (= (uf_4 uf_22 ?x70) (+ (uf_4 uf_22 ?x71) (uf_10 (uf_1 ?x71 ?x70)))) (< (uf_4 uf_22 ?x71) (uf_4 uf_22 ?x70))))))))))))))))))))))))))) (forall (?x72 T2) (implies (and (< (uf_12 ?x72) uf_9) (not (= ?x72 uf_11))) (exists (?x73 T2) (and (= (uf_12 ?x72) (+ (uf_12 ?x73) (uf_10 (uf_1 ?x73 ?x72)))) (and (up_13 ?x73) (< (uf_12 ?x73) (uf_12 ?x72))))))))) (forall (?x74 T2) (?x75 T2) (implies (and (< (uf_10 (uf_1 ?x75 ?x74)) uf_9) (up_13 ?x75)) (<= (uf_12 ?x74) (+ (uf_12 ?x75) (uf_10 (uf_1 ?x75 ?x74)))))))) (forall (?x76 T2) (?x77 T2) (implies (and (up_13 ?x76) (not (up_13 ?x77))) (<= (uf_12 ?x76) (uf_12 ?x77)))))) (forall (?x78 T2) (<= 0 (uf_12 ?x78))))) (= (uf_12 uf_11) 0))))))))) +:formula true +) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,7081 @@ +#2 := false +#55 := 0::int +decl uf_4 :: (-> T3 T2 int) +decl ?x40!7 :: (-> T2 T2) +decl ?x52!15 :: T2 +#2305 := ?x52!15 +#15992 := (?x40!7 ?x52!15) +decl uf_14 :: T3 +#107 := uf_14 +#15996 := (uf_4 uf_14 #15992) +#20405 := (>= #15996 0::int) +#11 := (:var 0 T2) +#110 := (uf_4 uf_14 #11) +#4403 := (pattern #110) +#1843 := (>= #110 0::int) +#4404 := (forall (vars (?x34 T2)) (:pat #4403) #1843) +decl uf_10 :: (-> T1 int) +decl uf_1 :: (-> T2 T2 T1) +decl ?x66!20 :: T2 +#2511 := ?x66!20 +decl ?x67!19 :: T2 +#2510 := ?x67!19 +#2516 := (uf_1 ?x67!19 ?x66!20) +#2517 := (uf_10 #2516) +#1320 := -1::int +#2524 := (* -1::int #2517) +decl uf_22 :: T3 +#230 := uf_22 +#2514 := (uf_4 uf_22 ?x67!19) +#2520 := (* -1::int #2514) +#3094 := (+ #2520 #2524) +#2512 := (uf_4 uf_22 ?x66!20) +#3095 := (+ #2512 #3094) +#3096 := (<= #3095 0::int) +decl uf_9 :: int +#56 := uf_9 +#2525 := (+ uf_9 #2524) +#2526 := (<= #2525 0::int) +#2521 := (+ uf_9 #2520) +#2522 := (<= #2521 0::int) +#3693 := (or #2522 #2526 #3096) +#3698 := (not #3693) +#10 := (:var 1 T2) +#90 := (uf_1 #11 #10) +#4379 := (pattern #90) +#238 := (uf_4 uf_22 #10) +#1720 := (* -1::int #238) +#235 := (uf_4 uf_22 #11) +#1721 := (+ #235 #1720) +#91 := (uf_10 #90) +#1727 := (+ #91 #1721) +#1750 := (>= #1727 0::int) +#1707 := (* -1::int #235) +#1708 := (+ uf_9 #1707) +#1709 := (<= #1708 0::int) +#1343 := (* -1::int #91) +#1346 := (+ uf_9 #1343) +#1347 := (<= #1346 0::int) +#3661 := (or #1347 #1709 #1750) +#4633 := (forall (vars (?x66 T2) (?x67 T2)) (:pat #4379) #3661) +#4638 := (not #4633) +decl uf_11 :: T2 +#67 := uf_11 +#250 := (uf_4 uf_22 uf_11) +#251 := (= #250 0::int) +#4641 := (or #251 #4638) +#4644 := (not #4641) +#4647 := (or #4644 #3698) +#4650 := (not #4647) +#4609 := (pattern #235) +decl ?x65!18 :: (-> T2 T2) +#2487 := (?x65!18 #11) +#2490 := (uf_1 #2487 #11) +#2491 := (uf_10 #2490) +#3064 := (* -1::int #2491) +#2488 := (uf_4 uf_22 #2487) +#3047 := (* -1::int #2488) +#3065 := (+ #3047 #3064) +#3066 := (+ #235 #3065) +#3067 := (= #3066 0::int) +#3631 := (not #3067) +#3048 := (+ #235 #3047) +#3049 := (<= #3048 0::int) +#3632 := (or #3049 #3631) +#3633 := (not #3632) +#68 := (= #11 uf_11) +#3639 := (or #68 #1709 #3633) +#4625 := (forall (vars (?x64 T2)) (:pat #4609) #3639) +#4630 := (not #4625) +#4653 := (or #4630 #4650) +#4656 := (not #4653) +decl ?x64!17 :: T2 +#2447 := ?x64!17 +#2451 := (uf_1 #11 ?x64!17) +#4610 := (pattern #2451) +#2452 := (uf_10 #2451) +#2448 := (uf_4 uf_22 ?x64!17) +#2449 := (* -1::int #2448) +#3017 := (+ #2449 #2452) +#3018 := (+ #235 #3017) +#3021 := (= #3018 0::int) +#3595 := (not #3021) +#2450 := (+ #235 #2449) +#2455 := (>= #2450 0::int) +#3596 := (or #2455 #3595) +#4611 := (forall (vars (?x65 T2)) (:pat #4609 #4610) #3596) +#4616 := (not #4611) +#2993 := (= uf_11 ?x64!17) +#2459 := (+ uf_9 #2449) +#2460 := (<= #2459 0::int) +#4619 := (or #2460 #2993 #4616) +#4622 := (not #4619) +#4659 := (or #4622 #4656) +#4662 := (not #4659) +decl uf_6 :: (-> T4 T2 T5) +decl uf_15 :: T4 +#113 := uf_15 +#116 := (uf_6 uf_15 #11) +#4445 := (pattern #116) +#1404 := (* -1::int #110) +#1405 := (+ uf_9 #1404) +#1406 := (<= #1405 0::int) +decl uf_8 :: T5 +#33 := uf_8 +#505 := (= uf_8 #116) +#3581 := (or #505 #1406) +#4601 := (forall (vars (?x41 T2)) (:pat #4445 #4403) #3581) +#4606 := (not #4601) +#933 := (= uf_14 uf_22) +#1053 := (not #933) +decl uf_19 :: T4 +#225 := uf_19 +#930 := (= uf_15 uf_19) +#1071 := (not #930) +decl uf_24 :: T3 +#233 := uf_24 +decl uf_23 :: T3 +#232 := uf_23 +#234 := (= uf_23 uf_24) +#1044 := (not #234) +decl uf_21 :: T2 +#228 := uf_21 +decl uf_20 :: T2 +#227 := uf_20 +#229 := (= uf_20 uf_21) +#1062 := (not #229) +#4665 := (or #1062 #1044 #1071 #1053 #4606 #4662) +#4668 := (not #4665) +#2309 := (uf_1 #11 ?x52!15) +#4514 := (pattern #2309) +decl uf_18 :: (-> T2 int) +#158 := (uf_18 #11) +#4454 := (pattern #158) +decl uf_17 :: T4 +#149 := uf_17 +#168 := (uf_6 uf_17 #11) +#4480 := (pattern #168) +#2310 := (uf_10 #2309) +#2306 := (uf_18 ?x52!15) +#2307 := (* -1::int #2306) +#2917 := (+ #2307 #2310) +#2918 := (+ #158 #2917) +#2921 := (= #2918 0::int) +#3474 := (not #2921) +#2308 := (+ #158 #2307) +#2313 := (>= #2308 0::int) +#630 := (= uf_8 #168) +#636 := (not #630) +#3475 := (or #636 #2313 #3474) +#4515 := (forall (vars (?x53 T2)) (:pat #4480 #4454 #4514) #3475) +#4520 := (not #4515) +#180 := (uf_18 #10) +#1505 := (* -1::int #180) +#1506 := (+ #158 #1505) +#1536 := (+ #91 #1506) +#1534 := (>= #1536 0::int) +#3466 := (or #636 #1347 #1534) +#4506 := (forall (vars (?x50 T2) (?x51 T2)) (:pat #4379) #3466) +#4511 := (not #4506) +#2893 := (= uf_11 ?x52!15) +#2317 := (+ uf_9 #2307) +#2318 := (<= #2317 0::int) +#4523 := (or #2318 #2893 #4511 #4520) +#4526 := (not #4523) +decl ?x50!14 :: T2 +#2275 := ?x50!14 +decl ?x51!13 :: T2 +#2274 := ?x51!13 +#2280 := (uf_1 ?x51!13 ?x50!14) +#2281 := (uf_10 #2280) +#2284 := (* -1::int #2281) +#2278 := (uf_18 ?x51!13) +#2879 := (* -1::int #2278) +#2880 := (+ #2879 #2284) +#2276 := (uf_18 ?x50!14) +#2881 := (+ #2276 #2880) +#2882 := (<= #2881 0::int) +#2288 := (uf_6 uf_17 ?x51!13) +#2289 := (= uf_8 #2288) +#3429 := (not #2289) +#2285 := (+ uf_9 #2284) +#2286 := (<= #2285 0::int) +#3444 := (or #2286 #3429 #2882) +#3449 := (not #3444) +#4529 := (or #3449 #4526) +#4532 := (not #4529) +#4497 := (pattern #158 #180) +#1504 := (>= #1506 0::int) +#176 := (uf_6 uf_17 #10) +#648 := (= uf_8 #176) +#3406 := (not #648) +#3421 := (or #630 #3406 #1504) +#4498 := (forall (vars (?x48 T2) (?x49 T2)) (:pat #4497) #3421) +#4503 := (not #4498) +#4535 := (or #4503 #4532) +#4538 := (not #4535) +decl ?x49!11 :: T2 +#2247 := ?x49!11 +#2251 := (uf_18 ?x49!11) +#2853 := (* -1::int #2251) +decl ?x48!12 :: T2 +#2248 := ?x48!12 +#2249 := (uf_18 ?x48!12) +#2854 := (+ #2249 #2853) +#2855 := (<= #2854 0::int) +#2256 := (uf_6 uf_17 ?x49!11) +#2257 := (= uf_8 #2256) +#2254 := (uf_6 uf_17 ?x48!12) +#2255 := (= uf_8 #2254) +#3383 := (not #2255) +#3398 := (or #3383 #2257 #2855) +#3403 := (not #3398) +#4541 := (or #3403 #4538) +#4544 := (not #4541) +#1495 := (>= #158 0::int) +#4489 := (forall (vars (?x47 T2)) (:pat #4454) #1495) +#4494 := (not #4489) +#4547 := (or #4494 #4544) +#4550 := (not #4547) +decl ?x47!10 :: T2 +#2232 := ?x47!10 +#2233 := (uf_18 ?x47!10) +#2234 := (>= #2233 0::int) +#2235 := (not #2234) +#4553 := (or #2235 #4550) +#4556 := (not #4553) +#172 := (uf_18 uf_11) +#173 := (= #172 0::int) +#1492 := (not #173) +#4559 := (or #1492 #4556) +#4562 := (not #4559) +#4565 := (or #1492 #4562) +#4568 := (not #4565) +#616 := (= #110 #158) +#637 := (or #616 #636) +#4481 := (forall (vars (?x46 T2)) (:pat #4403 #4454 #4480) #637) +#4486 := (not #4481) +#4571 := (or #4486 #4568) +#4574 := (not #4571) +decl ?x46!9 :: T2 +#2207 := ?x46!9 +#2212 := (uf_4 uf_14 ?x46!9) +#2211 := (uf_18 ?x46!9) +#2825 := (= #2211 #2212) +#2208 := (uf_6 uf_17 ?x46!9) +#2209 := (= uf_8 #2208) +#2210 := (not #2209) +#2831 := (or #2210 #2825) +#2836 := (not #2831) +#4577 := (or #2836 #4574) +#4580 := (not #4577) +#1480 := (* -1::int #158) +#1481 := (+ #110 #1480) +#1479 := (>= #1481 0::int) +#4472 := (forall (vars (?x45 T2)) (:pat #4403 #4454) #1479) +#4477 := (not #4472) +#4583 := (or #4477 #4580) +#4586 := (not #4583) +decl ?x45!8 :: T2 +#2189 := ?x45!8 +#2192 := (uf_4 uf_14 ?x45!8) +#2815 := (* -1::int #2192) +#2190 := (uf_18 ?x45!8) +#2816 := (+ #2190 #2815) +#2817 := (<= #2816 0::int) +#2822 := (not #2817) +#4589 := (or #2822 #4586) +#4592 := (not #4589) +decl uf_16 :: T2 +#140 := uf_16 +#152 := (uf_1 uf_16 #11) +#4455 := (pattern #152) +#153 := (uf_10 #152) +#1623 := (+ #153 #1480) +#144 := (uf_4 uf_14 uf_16) +#1624 := (+ #144 #1623) +#1625 := (= #1624 0::int) +#1450 := (* -1::int #153) +#1457 := (+ uf_9 #1450) +#1458 := (<= #1457 0::int) +#1449 := (* -1::int #144) +#1451 := (+ #1449 #1450) +#1452 := (+ #110 #1451) +#1453 := (<= #1452 0::int) +#3375 := (or #1453 #1458 #1625) +#4464 := (forall (vars (?x43 T2)) (:pat #4403 #4455 #4454) #3375) +#4469 := (not #4464) +#3355 := (or #1453 #1458) +#3356 := (not #3355) +#3359 := (or #616 #3356) +#4456 := (forall (vars (?x44 T2)) (:pat #4403 #4454 #4455) #3359) +#4461 := (not #4456) +decl ?x41!16 :: T2 +#2408 := ?x41!16 +#2414 := (uf_6 uf_15 ?x41!16) +#2415 := (= uf_8 #2414) +#2409 := (uf_4 uf_14 ?x41!16) +#2410 := (* -1::int #2409) +#2411 := (+ uf_9 #2410) +#2412 := (<= #2411 0::int) +#1655 := (+ uf_9 #1449) +#1656 := (<= #1655 0::int) +#1638 := (+ #110 #1449) +#1637 := (>= #1638 0::int) +#1644 := (or #505 #1637) +#4446 := (forall (vars (?x42 T2)) (:pat #4445 #4403) #1644) +#4451 := (not #4446) +#141 := (uf_6 uf_15 uf_16) +#585 := (= uf_8 #141) +decl uf_7 :: (-> T4 T2 T5 T4) +#150 := (uf_7 uf_15 uf_16 uf_8) +#151 := (= uf_17 #150) +#876 := (not #151) +#4595 := (or #876 #585 #4451 #1656 #2412 #2415 #4461 #4469 #4592) +#4598 := (not #4595) +#4671 := (or #4598 #4668) +#4674 := (not #4671) +#2152 := (?x40!7 #11) +#2155 := (uf_1 #2152 #11) +#2156 := (uf_10 #2155) +#2790 := (* -1::int #2156) +#2153 := (uf_4 uf_14 #2152) +#2773 := (* -1::int #2153) +#2791 := (+ #2773 #2790) +#2792 := (+ #110 #2791) +#2793 := (= #2792 0::int) +#3339 := (not #2793) +#2774 := (+ #110 #2773) +#2775 := (<= #2774 0::int) +#2161 := (uf_6 uf_15 #2152) +#2162 := (= uf_8 #2161) +#3338 := (not #2162) +#3340 := (or #3338 #2775 #3339) +#3341 := (not #3340) +#3347 := (or #68 #1406 #3341) +#4437 := (forall (vars (?x39 T2)) (:pat #4403) #3347) +#4442 := (not #4437) +decl uf_12 :: (-> T2 int) +#69 := (uf_12 #11) +#4355 := (pattern #69) +decl ?x33!6 :: (-> T2 T2) +#2123 := (?x33!6 #11) +#2127 := (uf_12 #2123) +#2728 := (* -1::int #2127) +#2124 := (uf_1 #2123 #11) +#2125 := (uf_10 #2124) +#2745 := (* -1::int #2125) +#2746 := (+ #2745 #2728) +#2747 := (+ #69 #2746) +#2748 := (= #2747 0::int) +#3311 := (not #2748) +#2729 := (+ #69 #2728) +#2730 := (<= #2729 0::int) +decl up_13 :: (-> T2 bool) +#2133 := (up_13 #2123) +#3310 := (not #2133) +#3312 := (or #3310 #2730 #3311) +#3313 := (not #3312) +#1386 := (* -1::int #69) +#1387 := (+ uf_9 #1386) +#1388 := (<= #1387 0::int) +#3319 := (or #68 #1388 #3313) +#4429 := (forall (vars (?x32 T2)) (:pat #4355) #3319) +#4434 := (not #4429) +#114 := (uf_6 uf_15 #10) +#4420 := (pattern #114 #116) +#120 := (uf_4 uf_14 #10) +#1417 := (* -1::int #120) +#1418 := (+ #110 #1417) +#1416 := (>= #1418 0::int) +#502 := (= uf_8 #114) +#3276 := (not #502) +#3291 := (or #3276 #505 #1416) +#4421 := (forall (vars (?x35 T2) (?x36 T2)) (:pat #4420) #3291) +#4426 := (not #4421) +#1424 := (+ #91 #1418) +#1815 := (>= #1424 0::int) +#508 := (not #505) +#3268 := (or #508 #1347 #1815) +#4412 := (forall (vars (?x37 T2) (?x38 T2)) (:pat #4379) #3268) +#4417 := (not #4412) +#4409 := (not #4404) +#108 := (uf_4 uf_14 uf_11) +#109 := (= #108 0::int) +#1854 := (not #109) +#4677 := (or #1854 #4409 #4417 #4426 #4434 #4442 #4674) +#4680 := (not #4677) +decl ?x32!5 :: T2 +#2081 := ?x32!5 +#2091 := (uf_1 #11 ?x32!5) +#4388 := (pattern #2091) +#77 := (up_13 #11) +#4348 := (pattern #77) +#2082 := (uf_12 ?x32!5) +#2083 := (* -1::int #2082) +#2096 := (+ #69 #2083) +#2097 := (>= #2096 0::int) +#2092 := (uf_10 #2091) +#2093 := (+ #2083 #2092) +#2094 := (+ #69 #2093) +#2095 := (= #2094 0::int) +#3229 := (not #2095) +#78 := (not #77) +#3230 := (or #78 #3229 #2097) +#4389 := (forall (vars (?x33 T2)) (:pat #4348 #4355 #4388) #3230) +#4394 := (not #4389) +#2688 := (= uf_11 ?x32!5) +#2084 := (+ uf_9 #2083) +#2085 := (<= #2084 0::int) +#4397 := (or #2085 #2688 #4394) +#4400 := (not #4397) +#4683 := (or #4400 #4680) +#4686 := (not #4683) +#86 := (uf_12 #10) +#1323 := (* -1::int #86) +#1344 := (+ #1323 #91) +#1345 := (+ #69 #1344) +#1342 := (>= #1345 0::int) +#3221 := (or #78 #1342 #1347) +#4380 := (forall (vars (?x30 T2) (?x31 T2)) (:pat #4379) #3221) +#4385 := (not #4380) +#4689 := (or #4385 #4686) +#4692 := (not #4689) +decl ?x31!3 :: T2 +#2051 := ?x31!3 +#2065 := (uf_12 ?x31!3) +decl ?x30!4 :: T2 +#2052 := ?x30!4 +#2062 := (uf_12 ?x30!4) +#2063 := (* -1::int #2062) +#2660 := (+ #2063 #2065) +#2053 := (uf_1 ?x31!3 ?x30!4) +#2054 := (uf_10 #2053) +#2661 := (+ #2054 #2660) +#2664 := (>= #2661 0::int) +#2059 := (up_13 ?x31!3) +#3184 := (not #2059) +#2055 := (* -1::int #2054) +#2056 := (+ uf_9 #2055) +#2057 := (<= #2056 0::int) +#3199 := (or #2057 #3184 #2664) +#3204 := (not #3199) +#4695 := (or #3204 #4692) +#4698 := (not #4695) +#84 := (up_13 #10) +#4370 := (pattern #77 #84) +#1324 := (+ #69 #1323) +#1322 := (>= #1324 0::int) +#2632 := (not #84) +#3176 := (or #77 #2632 #1322) +#4371 := (forall (vars (?x28 T2) (?x29 T2)) (:pat #4370) #3176) +#4376 := (not #4371) +#4701 := (or #4376 #4698) +#4704 := (not #4701) +decl ?x29!1 :: T2 +#2026 := ?x29!1 +#2030 := (uf_12 ?x29!1) +#2647 := (* -1::int #2030) +decl ?x28!2 :: T2 +#2027 := ?x28!2 +#2028 := (uf_12 ?x28!2) +#2648 := (+ #2028 #2647) +#2649 := (<= #2648 0::int) +#2034 := (up_13 ?x29!1) +#2033 := (up_13 ?x28!2) +#2266 := (not #2033) +#2166 := (or #2266 #2034 #2649) +#6004 := [hypothesis]: #2033 +#4349 := (forall (vars (?x26 T2)) (:pat #4348) #78) +#79 := (forall (vars (?x26 T2)) #78) +#4352 := (iff #79 #4349) +#4350 := (iff #78 #78) +#4351 := [refl]: #4350 +#4353 := [quant-intro #4351]: #4352 +#1965 := (~ #79 #79) +#2002 := (~ #78 #78) +#2003 := [refl]: #2002 +#1966 := [nnf-pos #2003]: #1965 +#70 := (= #69 0::int) +#73 := (not #68) +#1912 := (or #73 #70) +#1915 := (forall (vars (?x24 T2)) #1912) +#1918 := (not #1915) +#1846 := (forall (vars (?x34 T2)) #1843) +#1849 := (not #1846) +#511 := (and #502 #508) +#517 := (not #511) +#1832 := (or #517 #1416) +#1837 := (forall (vars (?x35 T2) (?x36 T2)) #1832) +#1840 := (not #1837) +#1348 := (not #1347) +#1807 := (and #505 #1348) +#1812 := (not #1807) +#1818 := (or #1812 #1815) +#1821 := (forall (vars (?x37 T2) (?x38 T2)) #1818) +#1824 := (not #1821) +#1710 := (not #1709) +#1744 := (and #1348 #1710) +#1747 := (not #1744) +#1753 := (or #1747 #1750) +#1756 := (forall (vars (?x66 T2) (?x67 T2)) #1753) +#1759 := (not #1756) +#1767 := (or #251 #1759) +#1772 := (and #1756 #1767) +#1725 := (= #1727 0::int) +#1719 := (>= #1721 0::int) +#1722 := (not #1719) +#1729 := (and #1722 #1725) +#1732 := (exists (vars (?x65 T2)) #1729) +#1713 := (and #73 #1710) +#1716 := (not #1713) +#1735 := (or #1716 #1732) +#1738 := (forall (vars (?x64 T2)) #1735) +#1741 := (not #1738) +#1775 := (or #1741 #1772) +#1778 := (and #1738 #1775) +#1407 := (not #1406) +#1670 := (and #508 #1407) +#1675 := (exists (vars (?x41 T2)) #1670) +#1796 := (or #1062 #1044 #1071 #1053 #1675 #1778) +#1678 := (not #1675) +#1649 := (forall (vars (?x42 T2)) #1644) +#1652 := (not #1649) +#1459 := (not #1458) +#1454 := (not #1453) +#1462 := (and #1454 #1459) +#1620 := (not #1462) +#1628 := (or #1620 #1625) +#1631 := (forall (vars (?x43 T2)) #1628) +#1634 := (not #1631) +#1561 := (= #1536 0::int) +#1558 := (not #1504) +#1570 := (and #630 #1558 #1561) +#1575 := (exists (vars (?x53 T2)) #1570) +#1547 := (+ uf_9 #1480) +#1548 := (<= #1547 0::int) +#1549 := (not #1548) +#1552 := (and #73 #1549) +#1555 := (not #1552) +#1578 := (or #1555 #1575) +#1581 := (forall (vars (?x52 T2)) #1578) +#1526 := (and #630 #1348) +#1531 := (not #1526) +#1538 := (or #1531 #1534) +#1541 := (forall (vars (?x50 T2) (?x51 T2)) #1538) +#1544 := (not #1541) +#1584 := (or #1544 #1581) +#1587 := (and #1541 #1584) +#656 := (and #636 #648) +#664 := (not #656) +#1512 := (or #664 #1504) +#1517 := (forall (vars (?x48 T2) (?x49 T2)) #1512) +#1520 := (not #1517) +#1590 := (or #1520 #1587) +#1593 := (and #1517 #1590) +#1498 := (forall (vars (?x47 T2)) #1495) +#1501 := (not #1498) +#1596 := (or #1501 #1593) +#1599 := (and #1498 #1596) +#1602 := (or #1492 #1599) +#1605 := (and #173 #1602) +#642 := (forall (vars (?x46 T2)) #637) +#824 := (not #642) +#1608 := (or #824 #1605) +#1611 := (and #642 #1608) +#1484 := (forall (vars (?x45 T2)) #1479) +#1487 := (not #1484) +#1614 := (or #1487 #1611) +#1617 := (and #1484 #1614) +#1468 := (or #616 #1462) +#1473 := (forall (vars (?x44 T2)) #1468) +#1476 := (not #1473) +#1702 := (or #876 #585 #1476 #1617 #1634 #1652 #1656 #1678) +#1801 := (and #1702 #1796) +#1422 := (= #1424 0::int) +#1419 := (not #1416) +#1432 := (and #505 #1419 #1422) +#1437 := (exists (vars (?x40 T2)) #1432) +#1410 := (and #73 #1407) +#1413 := (not #1410) +#1440 := (or #1413 #1437) +#1443 := (forall (vars (?x39 T2)) #1440) +#1446 := (not #1443) +#1389 := (not #1388) +#1392 := (and #73 #1389) +#1395 := (not #1392) +#1370 := (= #1345 0::int) +#1366 := (not #1322) +#1378 := (and #77 #1366 #1370) +#1383 := (exists (vars (?x33 T2)) #1378) +#1398 := (or #1383 #1395) +#1401 := (forall (vars (?x32 T2)) #1398) +#1857 := (not #1401) +#1878 := (or #1854 #1857 #1446 #1801 #1824 #1840 #1849) +#1883 := (and #1401 #1878) +#1351 := (and #77 #1348) +#1354 := (not #1351) +#1357 := (or #1342 #1354) +#1360 := (forall (vars (?x30 T2) (?x31 T2)) #1357) +#1363 := (not #1360) +#1886 := (or #1363 #1883) +#1889 := (and #1360 #1886) +#454 := (and #78 #84) +#460 := (not #454) +#1329 := (or #460 #1322) +#1334 := (forall (vars (?x28 T2) (?x29 T2)) #1329) +#1337 := (not #1334) +#1892 := (or #1337 #1889) +#1895 := (and #1334 #1892) +#1313 := (>= #69 0::int) +#1314 := (forall (vars (?x27 T2)) #1313) +#1317 := (not #1314) +#1898 := (or #1317 #1895) +#1901 := (and #1314 #1898) +#80 := (uf_12 uf_11) +#81 := (= #80 0::int) +#1308 := (not #81) +#1904 := (or #1308 #1901) +#1907 := (and #81 #1904) +#437 := (= uf_9 #69) +#443 := (or #68 #437) +#448 := (forall (vars (?x25 T2)) #443) +#1277 := (not #448) +#1268 := (not #79) +#1930 := (or #1268 #1277 #1907 #1918) +#1935 := (not #1930) +#82 := (<= 0::int #69) +#83 := (forall (vars (?x27 T2)) #82) +#87 := (<= #86 #69) +#85 := (and #84 #78) +#88 := (implies #85 #87) +#89 := (forall (vars (?x28 T2) (?x29 T2)) #88) +#94 := (+ #69 #91) +#95 := (<= #86 #94) +#92 := (< #91 uf_9) +#93 := (and #92 #77) +#96 := (implies #93 #95) +#97 := (forall (vars (?x30 T2) (?x31 T2)) #96) +#101 := (< #69 #86) +#102 := (and #77 #101) +#100 := (= #86 #94) +#103 := (and #100 #102) +#104 := (exists (vars (?x33 T2)) #103) +#98 := (< #69 uf_9) +#99 := (and #98 #73) +#105 := (implies #99 #104) +#106 := (forall (vars (?x32 T2)) #105) +#241 := (< #235 #238) +#239 := (+ #235 #91) +#240 := (= #238 #239) +#242 := (and #240 #241) +#243 := (exists (vars (?x65 T2)) #242) +#236 := (< #235 uf_9) +#237 := (and #236 #73) +#244 := (implies #237 #243) +#245 := (forall (vars (?x64 T2)) #244) +#247 := (<= #238 #239) +#246 := (and #92 #236) +#248 := (implies #246 #247) +#249 := (forall (vars (?x66 T2) (?x67 T2)) #248) +#1 := true +#252 := (implies #251 true) +#253 := (and #252 #251) +#254 := (implies #249 #253) +#255 := (and #254 #249) +#256 := (implies #245 #255) +#257 := (and #256 #245) +#258 := (implies true #257) +#259 := (implies #234 #258) +#231 := (= uf_22 uf_14) +#260 := (implies #231 #259) +#261 := (implies #229 #260) +#226 := (= uf_19 uf_15) +#262 := (implies #226 #261) +#263 := (implies true #262) +#264 := (implies true #263) +#117 := (= #116 uf_8) +#118 := (not #117) +#129 := (< #110 uf_9) +#138 := (and #129 #118) +#139 := (exists (vars (?x41 T2)) #138) +#224 := (not #139) +#265 := (implies #224 #264) +#266 := (implies true #265) +#267 := (implies true #266) +#166 := (<= #158 #110) +#167 := (forall (vars (?x45 T2)) #166) +#163 := (= #158 #110) +#169 := (= #168 uf_8) +#170 := (implies #169 #163) +#171 := (forall (vars (?x46 T2)) #170) +#174 := (<= 0::int #158) +#175 := (forall (vars (?x47 T2)) #174) +#181 := (<= #180 #158) +#178 := (not #169) +#177 := (= #176 uf_8) +#179 := (and #177 #178) +#182 := (implies #179 #181) +#183 := (forall (vars (?x48 T2) (?x49 T2)) #182) +#185 := (+ #158 #91) +#186 := (<= #180 #185) +#184 := (and #92 #169) +#187 := (implies #184 #186) +#188 := (forall (vars (?x50 T2) (?x51 T2)) #187) +#192 := (< #158 #180) +#193 := (and #169 #192) +#191 := (= #180 #185) +#194 := (and #191 #193) +#195 := (exists (vars (?x53 T2)) #194) +#189 := (< #158 uf_9) +#190 := (and #189 #73) +#196 := (implies #190 #195) +#197 := (forall (vars (?x52 T2)) #196) +#198 := (implies false true) +#199 := (implies #197 #198) +#200 := (and #199 #197) +#201 := (implies #188 #200) +#202 := (and #201 #188) +#203 := (implies #183 #202) +#204 := (and #203 #183) +#205 := (implies #175 #204) +#206 := (and #205 #175) +#207 := (implies #173 #206) +#208 := (and #207 #173) +#209 := (implies true #208) +#210 := (implies true #209) +#211 := (implies #171 #210) +#212 := (and #211 #171) +#213 := (implies #167 #212) +#214 := (and #213 #167) +#156 := (< #153 uf_9) +#154 := (+ #144 #153) +#155 := (< #154 #110) +#157 := (and #155 #156) +#162 := (not #157) +#164 := (implies #162 #163) +#165 := (forall (vars (?x44 T2)) #164) +#215 := (implies #165 #214) +#159 := (= #158 #154) +#160 := (implies #157 #159) +#161 := (forall (vars (?x43 T2)) #160) +#216 := (implies #161 #215) +#217 := (implies #151 #216) +#146 := (<= #144 #110) +#147 := (implies #118 #146) +#148 := (forall (vars (?x42 T2)) #147) +#218 := (implies #148 #217) +#145 := (< #144 uf_9) +#219 := (implies #145 #218) +#142 := (= #141 uf_8) +#143 := (not #142) +#220 := (implies #143 #219) +#221 := (implies #139 #220) +#222 := (implies true #221) +#223 := (implies true #222) +#268 := (and #223 #267) +#269 := (implies true #268) +#132 := (< #110 #120) +#133 := (and #117 #132) +#125 := (+ #110 #91) +#131 := (= #120 #125) +#134 := (and #131 #133) +#135 := (exists (vars (?x40 T2)) #134) +#130 := (and #129 #73) +#136 := (implies #130 #135) +#137 := (forall (vars (?x39 T2)) #136) +#270 := (implies #137 #269) +#126 := (<= #120 #125) +#124 := (and #92 #117) +#127 := (implies #124 #126) +#128 := (forall (vars (?x37 T2) (?x38 T2)) #127) +#271 := (implies #128 #270) +#121 := (<= #120 #110) +#115 := (= #114 uf_8) +#119 := (and #115 #118) +#122 := (implies #119 #121) +#123 := (forall (vars (?x35 T2) (?x36 T2)) #122) +#272 := (implies #123 #271) +#111 := (<= 0::int #110) +#112 := (forall (vars (?x34 T2)) #111) +#273 := (implies #112 #272) +#274 := (implies #109 #273) +#275 := (implies true #274) +#276 := (implies true #275) +#277 := (implies #106 #276) +#278 := (and #277 #106) +#279 := (implies #97 #278) +#280 := (and #279 #97) +#281 := (implies #89 #280) +#282 := (and #281 #89) +#283 := (implies #83 #282) +#284 := (and #283 #83) +#285 := (implies #81 #284) +#286 := (and #285 #81) +#287 := (implies true #286) +#288 := (implies #79 #287) +#74 := (= #69 uf_9) +#75 := (implies #73 #74) +#76 := (forall (vars (?x25 T2)) #75) +#289 := (implies #76 #288) +#71 := (implies #68 #70) +#72 := (forall (vars (?x24 T2)) #71) +#290 := (implies #72 #289) +#291 := (implies true #290) +#292 := (implies true #291) +#293 := (not #292) +#1938 := (iff #293 #1935) +#983 := (= 0::int #250) +#939 := (+ #91 #235) +#968 := (<= #238 #939) +#974 := (not #246) +#975 := (or #974 #968) +#980 := (forall (vars (?x66 T2) (?x67 T2)) #975) +#1003 := (not #980) +#1004 := (or #1003 #983) +#1012 := (and #980 #1004) +#942 := (= #238 #939) +#948 := (and #241 #942) +#953 := (exists (vars (?x65 T2)) #948) +#936 := (and #73 #236) +#959 := (not #936) +#960 := (or #959 #953) +#965 := (forall (vars (?x64 T2)) #960) +#1020 := (not #965) +#1021 := (or #1020 #1012) +#1029 := (and #965 #1021) +#1045 := (or #1044 #1029) +#1054 := (or #1053 #1045) +#1063 := (or #1062 #1054) +#1072 := (or #1071 #1063) +#579 := (and #129 #508) +#582 := (exists (vars (?x41 T2)) #579) +#1091 := (or #582 #1072) +#703 := (and #192 #630) +#676 := (+ #91 #158) +#697 := (= #180 #676) +#708 := (and #697 #703) +#711 := (exists (vars (?x53 T2)) #708) +#694 := (and #73 #189) +#717 := (not #694) +#718 := (or #717 #711) +#723 := (forall (vars (?x52 T2)) #718) +#679 := (<= #180 #676) +#673 := (and #92 #630) +#685 := (not #673) +#686 := (or #685 #679) +#691 := (forall (vars (?x50 T2) (?x51 T2)) #686) +#745 := (not #691) +#746 := (or #745 #723) +#754 := (and #691 #746) +#665 := (or #181 #664) +#670 := (forall (vars (?x48 T2) (?x49 T2)) #665) +#762 := (not #670) +#763 := (or #762 #754) +#771 := (and #670 #763) +#779 := (not #175) +#780 := (or #779 #771) +#788 := (and #175 #780) +#645 := (= 0::int #172) +#796 := (not #645) +#797 := (or #796 #788) +#805 := (and #645 #797) +#825 := (or #824 #805) +#833 := (and #642 #825) +#841 := (not #167) +#842 := (or #841 #833) +#850 := (and #167 #842) +#622 := (or #157 #616) +#627 := (forall (vars (?x44 T2)) #622) +#858 := (not #627) +#859 := (or #858 #850) +#602 := (= #154 #158) +#608 := (or #162 #602) +#613 := (forall (vars (?x43 T2)) #608) +#867 := (not #613) +#868 := (or #867 #859) +#877 := (or #876 #868) +#594 := (or #146 #505) +#599 := (forall (vars (?x42 T2)) #594) +#885 := (not #599) +#886 := (or #885 #877) +#894 := (not #145) +#895 := (or #894 #886) +#903 := (or #585 #895) +#911 := (not #582) +#912 := (or #911 #903) +#1107 := (and #912 #1091) +#556 := (and #132 #505) +#529 := (+ #91 #110) +#550 := (= #120 #529) +#561 := (and #550 #556) +#564 := (exists (vars (?x40 T2)) #561) +#547 := (and #73 #129) +#570 := (not #547) +#571 := (or #570 #564) +#576 := (forall (vars (?x39 T2)) #571) +#1120 := (not #576) +#1121 := (or #1120 #1107) +#532 := (<= #120 #529) +#526 := (and #92 #505) +#538 := (not #526) +#539 := (or #538 #532) +#544 := (forall (vars (?x37 T2) (?x38 T2)) #539) +#1129 := (not #544) +#1130 := (or #1129 #1121) +#518 := (or #121 #517) +#523 := (forall (vars (?x35 T2) (?x36 T2)) #518) +#1138 := (not #523) +#1139 := (or #1138 #1130) +#1147 := (not #112) +#1148 := (or #1147 #1139) +#499 := (= 0::int #108) +#1156 := (not #499) +#1157 := (or #1156 #1148) +#484 := (and #73 #98) +#490 := (not #484) +#491 := (or #104 #490) +#496 := (forall (vars (?x32 T2)) #491) +#1176 := (not #496) +#1177 := (or #1176 #1157) +#1185 := (and #496 #1177) +#469 := (and #77 #92) +#475 := (not #469) +#476 := (or #95 #475) +#481 := (forall (vars (?x30 T2) (?x31 T2)) #476) +#1193 := (not #481) +#1194 := (or #1193 #1185) +#1202 := (and #481 #1194) +#461 := (or #87 #460) +#466 := (forall (vars (?x28 T2) (?x29 T2)) #461) +#1210 := (not #466) +#1211 := (or #1210 #1202) +#1219 := (and #466 #1211) +#1227 := (not #83) +#1228 := (or #1227 #1219) +#1236 := (and #83 #1228) +#451 := (= 0::int #80) +#1244 := (not #451) +#1245 := (or #1244 #1236) +#1253 := (and #451 #1245) +#1269 := (or #1268 #1253) +#1278 := (or #1277 #1269) +#423 := (= 0::int #69) +#429 := (or #73 #423) +#434 := (forall (vars (?x24 T2)) #429) +#1286 := (not #434) +#1287 := (or #1286 #1278) +#1303 := (not #1287) +#1936 := (iff #1303 #1935) +#1933 := (iff #1287 #1930) +#1921 := (or #1268 #1907) +#1924 := (or #1277 #1921) +#1927 := (or #1918 #1924) +#1931 := (iff #1927 #1930) +#1932 := [rewrite]: #1931 +#1928 := (iff #1287 #1927) +#1925 := (iff #1278 #1924) +#1922 := (iff #1269 #1921) +#1908 := (iff #1253 #1907) +#1905 := (iff #1245 #1904) +#1902 := (iff #1236 #1901) +#1899 := (iff #1228 #1898) +#1896 := (iff #1219 #1895) +#1893 := (iff #1211 #1892) +#1890 := (iff #1202 #1889) +#1887 := (iff #1194 #1886) +#1884 := (iff #1185 #1883) +#1881 := (iff #1177 #1878) +#1860 := (or #1446 #1801) +#1863 := (or #1824 #1860) +#1866 := (or #1840 #1863) +#1869 := (or #1849 #1866) +#1872 := (or #1854 #1869) +#1875 := (or #1857 #1872) +#1879 := (iff #1875 #1878) +#1880 := [rewrite]: #1879 +#1876 := (iff #1177 #1875) +#1873 := (iff #1157 #1872) +#1870 := (iff #1148 #1869) +#1867 := (iff #1139 #1866) +#1864 := (iff #1130 #1863) +#1861 := (iff #1121 #1860) +#1802 := (iff #1107 #1801) +#1799 := (iff #1091 #1796) +#1781 := (or #1044 #1778) +#1784 := (or #1053 #1781) +#1787 := (or #1062 #1784) +#1790 := (or #1071 #1787) +#1793 := (or #1675 #1790) +#1797 := (iff #1793 #1796) +#1798 := [rewrite]: #1797 +#1794 := (iff #1091 #1793) +#1791 := (iff #1072 #1790) +#1788 := (iff #1063 #1787) +#1785 := (iff #1054 #1784) +#1782 := (iff #1045 #1781) +#1779 := (iff #1029 #1778) +#1776 := (iff #1021 #1775) +#1773 := (iff #1012 #1772) +#1770 := (iff #1004 #1767) +#1764 := (or #1759 #251) +#1768 := (iff #1764 #1767) +#1769 := [rewrite]: #1768 +#1765 := (iff #1004 #1764) +#1762 := (iff #983 #251) +#1763 := [rewrite]: #1762 +#1760 := (iff #1003 #1759) +#1757 := (iff #980 #1756) +#1754 := (iff #975 #1753) +#1751 := (iff #968 #1750) +#1752 := [rewrite]: #1751 +#1748 := (iff #974 #1747) +#1745 := (iff #246 #1744) +#1711 := (iff #236 #1710) +#1712 := [rewrite]: #1711 +#1349 := (iff #92 #1348) +#1350 := [rewrite]: #1349 +#1746 := [monotonicity #1350 #1712]: #1745 +#1749 := [monotonicity #1746]: #1748 +#1755 := [monotonicity #1749 #1752]: #1754 +#1758 := [quant-intro #1755]: #1757 +#1761 := [monotonicity #1758]: #1760 +#1766 := [monotonicity #1761 #1763]: #1765 +#1771 := [trans #1766 #1769]: #1770 +#1774 := [monotonicity #1758 #1771]: #1773 +#1742 := (iff #1020 #1741) +#1739 := (iff #965 #1738) +#1736 := (iff #960 #1735) +#1733 := (iff #953 #1732) +#1730 := (iff #948 #1729) +#1726 := (iff #942 #1725) +#1728 := [rewrite]: #1726 +#1723 := (iff #241 #1722) +#1724 := [rewrite]: #1723 +#1731 := [monotonicity #1724 #1728]: #1730 +#1734 := [quant-intro #1731]: #1733 +#1717 := (iff #959 #1716) +#1714 := (iff #936 #1713) +#1715 := [monotonicity #1712]: #1714 +#1718 := [monotonicity #1715]: #1717 +#1737 := [monotonicity #1718 #1734]: #1736 +#1740 := [quant-intro #1737]: #1739 +#1743 := [monotonicity #1740]: #1742 +#1777 := [monotonicity #1743 #1774]: #1776 +#1780 := [monotonicity #1740 #1777]: #1779 +#1783 := [monotonicity #1780]: #1782 +#1786 := [monotonicity #1783]: #1785 +#1789 := [monotonicity #1786]: #1788 +#1792 := [monotonicity #1789]: #1791 +#1676 := (iff #582 #1675) +#1673 := (iff #579 #1670) +#1667 := (and #1407 #508) +#1671 := (iff #1667 #1670) +#1672 := [rewrite]: #1671 +#1668 := (iff #579 #1667) +#1408 := (iff #129 #1407) +#1409 := [rewrite]: #1408 +#1669 := [monotonicity #1409]: #1668 +#1674 := [trans #1669 #1672]: #1673 +#1677 := [quant-intro #1674]: #1676 +#1795 := [monotonicity #1677 #1792]: #1794 +#1800 := [trans #1795 #1798]: #1799 +#1705 := (iff #912 #1702) +#1681 := (or #1476 #1617) +#1684 := (or #1634 #1681) +#1687 := (or #876 #1684) +#1690 := (or #1652 #1687) +#1693 := (or #1656 #1690) +#1696 := (or #585 #1693) +#1699 := (or #1678 #1696) +#1703 := (iff #1699 #1702) +#1704 := [rewrite]: #1703 +#1700 := (iff #912 #1699) +#1697 := (iff #903 #1696) +#1694 := (iff #895 #1693) +#1691 := (iff #886 #1690) +#1688 := (iff #877 #1687) +#1685 := (iff #868 #1684) +#1682 := (iff #859 #1681) +#1618 := (iff #850 #1617) +#1615 := (iff #842 #1614) +#1612 := (iff #833 #1611) +#1609 := (iff #825 #1608) +#1606 := (iff #805 #1605) +#1603 := (iff #797 #1602) +#1600 := (iff #788 #1599) +#1597 := (iff #780 #1596) +#1594 := (iff #771 #1593) +#1591 := (iff #763 #1590) +#1588 := (iff #754 #1587) +#1585 := (iff #746 #1584) +#1582 := (iff #723 #1581) +#1579 := (iff #718 #1578) +#1576 := (iff #711 #1575) +#1573 := (iff #708 #1570) +#1564 := (and #1558 #630) +#1567 := (and #1561 #1564) +#1571 := (iff #1567 #1570) +#1572 := [rewrite]: #1571 +#1568 := (iff #708 #1567) +#1565 := (iff #703 #1564) +#1559 := (iff #192 #1558) +#1560 := [rewrite]: #1559 +#1566 := [monotonicity #1560]: #1565 +#1562 := (iff #697 #1561) +#1563 := [rewrite]: #1562 +#1569 := [monotonicity #1563 #1566]: #1568 +#1574 := [trans #1569 #1572]: #1573 +#1577 := [quant-intro #1574]: #1576 +#1556 := (iff #717 #1555) +#1553 := (iff #694 #1552) +#1550 := (iff #189 #1549) +#1551 := [rewrite]: #1550 +#1554 := [monotonicity #1551]: #1553 +#1557 := [monotonicity #1554]: #1556 +#1580 := [monotonicity #1557 #1577]: #1579 +#1583 := [quant-intro #1580]: #1582 +#1545 := (iff #745 #1544) +#1542 := (iff #691 #1541) +#1539 := (iff #686 #1538) +#1535 := (iff #679 #1534) +#1537 := [rewrite]: #1535 +#1532 := (iff #685 #1531) +#1529 := (iff #673 #1526) +#1523 := (and #1348 #630) +#1527 := (iff #1523 #1526) +#1528 := [rewrite]: #1527 +#1524 := (iff #673 #1523) +#1525 := [monotonicity #1350]: #1524 +#1530 := [trans #1525 #1528]: #1529 +#1533 := [monotonicity #1530]: #1532 +#1540 := [monotonicity #1533 #1537]: #1539 +#1543 := [quant-intro #1540]: #1542 +#1546 := [monotonicity #1543]: #1545 +#1586 := [monotonicity #1546 #1583]: #1585 +#1589 := [monotonicity #1543 #1586]: #1588 +#1521 := (iff #762 #1520) +#1518 := (iff #670 #1517) +#1515 := (iff #665 #1512) +#1509 := (or #1504 #664) +#1513 := (iff #1509 #1512) +#1514 := [rewrite]: #1513 +#1510 := (iff #665 #1509) +#1507 := (iff #181 #1504) +#1508 := [rewrite]: #1507 +#1511 := [monotonicity #1508]: #1510 +#1516 := [trans #1511 #1514]: #1515 +#1519 := [quant-intro #1516]: #1518 +#1522 := [monotonicity #1519]: #1521 +#1592 := [monotonicity #1522 #1589]: #1591 +#1595 := [monotonicity #1519 #1592]: #1594 +#1502 := (iff #779 #1501) +#1499 := (iff #175 #1498) +#1496 := (iff #174 #1495) +#1497 := [rewrite]: #1496 +#1500 := [quant-intro #1497]: #1499 +#1503 := [monotonicity #1500]: #1502 +#1598 := [monotonicity #1503 #1595]: #1597 +#1601 := [monotonicity #1500 #1598]: #1600 +#1493 := (iff #796 #1492) +#1490 := (iff #645 #173) +#1491 := [rewrite]: #1490 +#1494 := [monotonicity #1491]: #1493 +#1604 := [monotonicity #1494 #1601]: #1603 +#1607 := [monotonicity #1491 #1604]: #1606 +#1610 := [monotonicity #1607]: #1609 +#1613 := [monotonicity #1610]: #1612 +#1488 := (iff #841 #1487) +#1485 := (iff #167 #1484) +#1482 := (iff #166 #1479) +#1483 := [rewrite]: #1482 +#1486 := [quant-intro #1483]: #1485 +#1489 := [monotonicity #1486]: #1488 +#1616 := [monotonicity #1489 #1613]: #1615 +#1619 := [monotonicity #1486 #1616]: #1618 +#1477 := (iff #858 #1476) +#1474 := (iff #627 #1473) +#1471 := (iff #622 #1468) +#1465 := (or #1462 #616) +#1469 := (iff #1465 #1468) +#1470 := [rewrite]: #1469 +#1466 := (iff #622 #1465) +#1463 := (iff #157 #1462) +#1460 := (iff #156 #1459) +#1461 := [rewrite]: #1460 +#1455 := (iff #155 #1454) +#1456 := [rewrite]: #1455 +#1464 := [monotonicity #1456 #1461]: #1463 +#1467 := [monotonicity #1464]: #1466 +#1472 := [trans #1467 #1470]: #1471 +#1475 := [quant-intro #1472]: #1474 +#1478 := [monotonicity #1475]: #1477 +#1683 := [monotonicity #1478 #1619]: #1682 +#1635 := (iff #867 #1634) +#1632 := (iff #613 #1631) +#1629 := (iff #608 #1628) +#1626 := (iff #602 #1625) +#1627 := [rewrite]: #1626 +#1621 := (iff #162 #1620) +#1622 := [monotonicity #1464]: #1621 +#1630 := [monotonicity #1622 #1627]: #1629 +#1633 := [quant-intro #1630]: #1632 +#1636 := [monotonicity #1633]: #1635 +#1686 := [monotonicity #1636 #1683]: #1685 +#1689 := [monotonicity #1686]: #1688 +#1653 := (iff #885 #1652) +#1650 := (iff #599 #1649) +#1647 := (iff #594 #1644) +#1641 := (or #1637 #505) +#1645 := (iff #1641 #1644) +#1646 := [rewrite]: #1645 +#1642 := (iff #594 #1641) +#1639 := (iff #146 #1637) +#1640 := [rewrite]: #1639 +#1643 := [monotonicity #1640]: #1642 +#1648 := [trans #1643 #1646]: #1647 +#1651 := [quant-intro #1648]: #1650 +#1654 := [monotonicity #1651]: #1653 +#1692 := [monotonicity #1654 #1689]: #1691 +#1665 := (iff #894 #1656) +#1657 := (not #1656) +#1660 := (not #1657) +#1663 := (iff #1660 #1656) +#1664 := [rewrite]: #1663 +#1661 := (iff #894 #1660) +#1658 := (iff #145 #1657) +#1659 := [rewrite]: #1658 +#1662 := [monotonicity #1659]: #1661 +#1666 := [trans #1662 #1664]: #1665 +#1695 := [monotonicity #1666 #1692]: #1694 +#1698 := [monotonicity #1695]: #1697 +#1679 := (iff #911 #1678) +#1680 := [monotonicity #1677]: #1679 +#1701 := [monotonicity #1680 #1698]: #1700 +#1706 := [trans #1701 #1704]: #1705 +#1803 := [monotonicity #1706 #1800]: #1802 +#1447 := (iff #1120 #1446) +#1444 := (iff #576 #1443) +#1441 := (iff #571 #1440) +#1438 := (iff #564 #1437) +#1435 := (iff #561 #1432) +#1426 := (and #1419 #505) +#1429 := (and #1422 #1426) +#1433 := (iff #1429 #1432) +#1434 := [rewrite]: #1433 +#1430 := (iff #561 #1429) +#1427 := (iff #556 #1426) +#1420 := (iff #132 #1419) +#1421 := [rewrite]: #1420 +#1428 := [monotonicity #1421]: #1427 +#1423 := (iff #550 #1422) +#1425 := [rewrite]: #1423 +#1431 := [monotonicity #1425 #1428]: #1430 +#1436 := [trans #1431 #1434]: #1435 +#1439 := [quant-intro #1436]: #1438 +#1414 := (iff #570 #1413) +#1411 := (iff #547 #1410) +#1412 := [monotonicity #1409]: #1411 +#1415 := [monotonicity #1412]: #1414 +#1442 := [monotonicity #1415 #1439]: #1441 +#1445 := [quant-intro #1442]: #1444 +#1448 := [monotonicity #1445]: #1447 +#1862 := [monotonicity #1448 #1803]: #1861 +#1825 := (iff #1129 #1824) +#1822 := (iff #544 #1821) +#1819 := (iff #539 #1818) +#1816 := (iff #532 #1815) +#1817 := [rewrite]: #1816 +#1813 := (iff #538 #1812) +#1810 := (iff #526 #1807) +#1804 := (and #1348 #505) +#1808 := (iff #1804 #1807) +#1809 := [rewrite]: #1808 +#1805 := (iff #526 #1804) +#1806 := [monotonicity #1350]: #1805 +#1811 := [trans #1806 #1809]: #1810 +#1814 := [monotonicity #1811]: #1813 +#1820 := [monotonicity #1814 #1817]: #1819 +#1823 := [quant-intro #1820]: #1822 +#1826 := [monotonicity #1823]: #1825 +#1865 := [monotonicity #1826 #1862]: #1864 +#1841 := (iff #1138 #1840) +#1838 := (iff #523 #1837) +#1835 := (iff #518 #1832) +#1829 := (or #1416 #517) +#1833 := (iff #1829 #1832) +#1834 := [rewrite]: #1833 +#1830 := (iff #518 #1829) +#1827 := (iff #121 #1416) +#1828 := [rewrite]: #1827 +#1831 := [monotonicity #1828]: #1830 +#1836 := [trans #1831 #1834]: #1835 +#1839 := [quant-intro #1836]: #1838 +#1842 := [monotonicity #1839]: #1841 +#1868 := [monotonicity #1842 #1865]: #1867 +#1850 := (iff #1147 #1849) +#1847 := (iff #112 #1846) +#1844 := (iff #111 #1843) +#1845 := [rewrite]: #1844 +#1848 := [quant-intro #1845]: #1847 +#1851 := [monotonicity #1848]: #1850 +#1871 := [monotonicity #1851 #1868]: #1870 +#1855 := (iff #1156 #1854) +#1852 := (iff #499 #109) +#1853 := [rewrite]: #1852 +#1856 := [monotonicity #1853]: #1855 +#1874 := [monotonicity #1856 #1871]: #1873 +#1858 := (iff #1176 #1857) +#1402 := (iff #496 #1401) +#1399 := (iff #491 #1398) +#1396 := (iff #490 #1395) +#1393 := (iff #484 #1392) +#1390 := (iff #98 #1389) +#1391 := [rewrite]: #1390 +#1394 := [monotonicity #1391]: #1393 +#1397 := [monotonicity #1394]: #1396 +#1384 := (iff #104 #1383) +#1381 := (iff #103 #1378) +#1372 := (and #77 #1366) +#1375 := (and #1370 #1372) +#1379 := (iff #1375 #1378) +#1380 := [rewrite]: #1379 +#1376 := (iff #103 #1375) +#1373 := (iff #102 #1372) +#1367 := (iff #101 #1366) +#1368 := [rewrite]: #1367 +#1374 := [monotonicity #1368]: #1373 +#1369 := (iff #100 #1370) +#1371 := [rewrite]: #1369 +#1377 := [monotonicity #1371 #1374]: #1376 +#1382 := [trans #1377 #1380]: #1381 +#1385 := [quant-intro #1382]: #1384 +#1400 := [monotonicity #1385 #1397]: #1399 +#1403 := [quant-intro #1400]: #1402 +#1859 := [monotonicity #1403]: #1858 +#1877 := [monotonicity #1859 #1874]: #1876 +#1882 := [trans #1877 #1880]: #1881 +#1885 := [monotonicity #1403 #1882]: #1884 +#1364 := (iff #1193 #1363) +#1361 := (iff #481 #1360) +#1358 := (iff #476 #1357) +#1355 := (iff #475 #1354) +#1352 := (iff #469 #1351) +#1353 := [monotonicity #1350]: #1352 +#1356 := [monotonicity #1353]: #1355 +#1341 := (iff #95 #1342) +#1340 := [rewrite]: #1341 +#1359 := [monotonicity #1340 #1356]: #1358 +#1362 := [quant-intro #1359]: #1361 +#1365 := [monotonicity #1362]: #1364 +#1888 := [monotonicity #1365 #1885]: #1887 +#1891 := [monotonicity #1362 #1888]: #1890 +#1338 := (iff #1210 #1337) +#1335 := (iff #466 #1334) +#1332 := (iff #461 #1329) +#1326 := (or #1322 #460) +#1330 := (iff #1326 #1329) +#1331 := [rewrite]: #1330 +#1327 := (iff #461 #1326) +#1321 := (iff #87 #1322) +#1325 := [rewrite]: #1321 +#1328 := [monotonicity #1325]: #1327 +#1333 := [trans #1328 #1331]: #1332 +#1336 := [quant-intro #1333]: #1335 +#1339 := [monotonicity #1336]: #1338 +#1894 := [monotonicity #1339 #1891]: #1893 +#1897 := [monotonicity #1336 #1894]: #1896 +#1318 := (iff #1227 #1317) +#1315 := (iff #83 #1314) +#1311 := (iff #82 #1313) +#1312 := [rewrite]: #1311 +#1316 := [quant-intro #1312]: #1315 +#1319 := [monotonicity #1316]: #1318 +#1900 := [monotonicity #1319 #1897]: #1899 +#1903 := [monotonicity #1316 #1900]: #1902 +#1309 := (iff #1244 #1308) +#1306 := (iff #451 #81) +#1307 := [rewrite]: #1306 +#1310 := [monotonicity #1307]: #1309 +#1906 := [monotonicity #1310 #1903]: #1905 +#1909 := [monotonicity #1307 #1906]: #1908 +#1923 := [monotonicity #1909]: #1922 +#1926 := [monotonicity #1923]: #1925 +#1919 := (iff #1286 #1918) +#1916 := (iff #434 #1915) +#1913 := (iff #429 #1912) +#1910 := (iff #423 #70) +#1911 := [rewrite]: #1910 +#1914 := [monotonicity #1911]: #1913 +#1917 := [quant-intro #1914]: #1916 +#1920 := [monotonicity #1917]: #1919 +#1929 := [monotonicity #1920 #1926]: #1928 +#1934 := [trans #1929 #1932]: #1933 +#1937 := [monotonicity #1934]: #1936 +#1304 := (iff #293 #1303) +#1301 := (iff #292 #1287) +#1292 := (implies true #1287) +#1295 := (iff #1292 #1287) +#1296 := [rewrite]: #1295 +#1299 := (iff #292 #1292) +#1297 := (iff #291 #1287) +#1293 := (iff #291 #1292) +#1290 := (iff #290 #1287) +#1283 := (implies #434 #1278) +#1288 := (iff #1283 #1287) +#1289 := [rewrite]: #1288 +#1284 := (iff #290 #1283) +#1281 := (iff #289 #1278) +#1274 := (implies #448 #1269) +#1279 := (iff #1274 #1278) +#1280 := [rewrite]: #1279 +#1275 := (iff #289 #1274) +#1272 := (iff #288 #1269) +#1265 := (implies #79 #1253) +#1270 := (iff #1265 #1269) +#1271 := [rewrite]: #1270 +#1266 := (iff #288 #1265) +#1263 := (iff #287 #1253) +#1258 := (implies true #1253) +#1261 := (iff #1258 #1253) +#1262 := [rewrite]: #1261 +#1259 := (iff #287 #1258) +#1256 := (iff #286 #1253) +#1250 := (and #1245 #451) +#1254 := (iff #1250 #1253) +#1255 := [rewrite]: #1254 +#1251 := (iff #286 #1250) +#452 := (iff #81 #451) +#453 := [rewrite]: #452 +#1248 := (iff #285 #1245) +#1241 := (implies #451 #1236) +#1246 := (iff #1241 #1245) +#1247 := [rewrite]: #1246 +#1242 := (iff #285 #1241) +#1239 := (iff #284 #1236) +#1233 := (and #1228 #83) +#1237 := (iff #1233 #1236) +#1238 := [rewrite]: #1237 +#1234 := (iff #284 #1233) +#1231 := (iff #283 #1228) +#1224 := (implies #83 #1219) +#1229 := (iff #1224 #1228) +#1230 := [rewrite]: #1229 +#1225 := (iff #283 #1224) +#1222 := (iff #282 #1219) +#1216 := (and #1211 #466) +#1220 := (iff #1216 #1219) +#1221 := [rewrite]: #1220 +#1217 := (iff #282 #1216) +#467 := (iff #89 #466) +#464 := (iff #88 #461) +#457 := (implies #454 #87) +#462 := (iff #457 #461) +#463 := [rewrite]: #462 +#458 := (iff #88 #457) +#455 := (iff #85 #454) +#456 := [rewrite]: #455 +#459 := [monotonicity #456]: #458 +#465 := [trans #459 #463]: #464 +#468 := [quant-intro #465]: #467 +#1214 := (iff #281 #1211) +#1207 := (implies #466 #1202) +#1212 := (iff #1207 #1211) +#1213 := [rewrite]: #1212 +#1208 := (iff #281 #1207) +#1205 := (iff #280 #1202) +#1199 := (and #1194 #481) +#1203 := (iff #1199 #1202) +#1204 := [rewrite]: #1203 +#1200 := (iff #280 #1199) +#482 := (iff #97 #481) +#479 := (iff #96 #476) +#472 := (implies #469 #95) +#477 := (iff #472 #476) +#478 := [rewrite]: #477 +#473 := (iff #96 #472) +#470 := (iff #93 #469) +#471 := [rewrite]: #470 +#474 := [monotonicity #471]: #473 +#480 := [trans #474 #478]: #479 +#483 := [quant-intro #480]: #482 +#1197 := (iff #279 #1194) +#1190 := (implies #481 #1185) +#1195 := (iff #1190 #1194) +#1196 := [rewrite]: #1195 +#1191 := (iff #279 #1190) +#1188 := (iff #278 #1185) +#1182 := (and #1177 #496) +#1186 := (iff #1182 #1185) +#1187 := [rewrite]: #1186 +#1183 := (iff #278 #1182) +#497 := (iff #106 #496) +#494 := (iff #105 #491) +#487 := (implies #484 #104) +#492 := (iff #487 #491) +#493 := [rewrite]: #492 +#488 := (iff #105 #487) +#485 := (iff #99 #484) +#486 := [rewrite]: #485 +#489 := [monotonicity #486]: #488 +#495 := [trans #489 #493]: #494 +#498 := [quant-intro #495]: #497 +#1180 := (iff #277 #1177) +#1173 := (implies #496 #1157) +#1178 := (iff #1173 #1177) +#1179 := [rewrite]: #1178 +#1174 := (iff #277 #1173) +#1171 := (iff #276 #1157) +#1162 := (implies true #1157) +#1165 := (iff #1162 #1157) +#1166 := [rewrite]: #1165 +#1169 := (iff #276 #1162) +#1167 := (iff #275 #1157) +#1163 := (iff #275 #1162) +#1160 := (iff #274 #1157) +#1153 := (implies #499 #1148) +#1158 := (iff #1153 #1157) +#1159 := [rewrite]: #1158 +#1154 := (iff #274 #1153) +#1151 := (iff #273 #1148) +#1144 := (implies #112 #1139) +#1149 := (iff #1144 #1148) +#1150 := [rewrite]: #1149 +#1145 := (iff #273 #1144) +#1142 := (iff #272 #1139) +#1135 := (implies #523 #1130) +#1140 := (iff #1135 #1139) +#1141 := [rewrite]: #1140 +#1136 := (iff #272 #1135) +#1133 := (iff #271 #1130) +#1126 := (implies #544 #1121) +#1131 := (iff #1126 #1130) +#1132 := [rewrite]: #1131 +#1127 := (iff #271 #1126) +#1124 := (iff #270 #1121) +#1117 := (implies #576 #1107) +#1122 := (iff #1117 #1121) +#1123 := [rewrite]: #1122 +#1118 := (iff #270 #1117) +#1115 := (iff #269 #1107) +#1110 := (implies true #1107) +#1113 := (iff #1110 #1107) +#1114 := [rewrite]: #1113 +#1111 := (iff #269 #1110) +#1108 := (iff #268 #1107) +#1105 := (iff #267 #1091) +#1096 := (implies true #1091) +#1099 := (iff #1096 #1091) +#1100 := [rewrite]: #1099 +#1103 := (iff #267 #1096) +#1101 := (iff #266 #1091) +#1097 := (iff #266 #1096) +#1094 := (iff #265 #1091) +#1088 := (implies #911 #1072) +#1092 := (iff #1088 #1091) +#1093 := [rewrite]: #1092 +#1089 := (iff #265 #1088) +#1086 := (iff #264 #1072) +#1077 := (implies true #1072) +#1080 := (iff #1077 #1072) +#1081 := [rewrite]: #1080 +#1084 := (iff #264 #1077) +#1082 := (iff #263 #1072) +#1078 := (iff #263 #1077) +#1075 := (iff #262 #1072) +#1068 := (implies #930 #1063) +#1073 := (iff #1068 #1072) +#1074 := [rewrite]: #1073 +#1069 := (iff #262 #1068) +#1066 := (iff #261 #1063) +#1059 := (implies #229 #1054) +#1064 := (iff #1059 #1063) +#1065 := [rewrite]: #1064 +#1060 := (iff #261 #1059) +#1057 := (iff #260 #1054) +#1050 := (implies #933 #1045) +#1055 := (iff #1050 #1054) +#1056 := [rewrite]: #1055 +#1051 := (iff #260 #1050) +#1048 := (iff #259 #1045) +#1041 := (implies #234 #1029) +#1046 := (iff #1041 #1045) +#1047 := [rewrite]: #1046 +#1042 := (iff #259 #1041) +#1039 := (iff #258 #1029) +#1034 := (implies true #1029) +#1037 := (iff #1034 #1029) +#1038 := [rewrite]: #1037 +#1035 := (iff #258 #1034) +#1032 := (iff #257 #1029) +#1026 := (and #1021 #965) +#1030 := (iff #1026 #1029) +#1031 := [rewrite]: #1030 +#1027 := (iff #257 #1026) +#966 := (iff #245 #965) +#963 := (iff #244 #960) +#956 := (implies #936 #953) +#961 := (iff #956 #960) +#962 := [rewrite]: #961 +#957 := (iff #244 #956) +#954 := (iff #243 #953) +#951 := (iff #242 #948) +#945 := (and #942 #241) +#949 := (iff #945 #948) +#950 := [rewrite]: #949 +#946 := (iff #242 #945) +#943 := (iff #240 #942) +#940 := (= #239 #939) +#941 := [rewrite]: #940 +#944 := [monotonicity #941]: #943 +#947 := [monotonicity #944]: #946 +#952 := [trans #947 #950]: #951 +#955 := [quant-intro #952]: #954 +#937 := (iff #237 #936) +#938 := [rewrite]: #937 +#958 := [monotonicity #938 #955]: #957 +#964 := [trans #958 #962]: #963 +#967 := [quant-intro #964]: #966 +#1024 := (iff #256 #1021) +#1017 := (implies #965 #1012) +#1022 := (iff #1017 #1021) +#1023 := [rewrite]: #1022 +#1018 := (iff #256 #1017) +#1015 := (iff #255 #1012) +#1009 := (and #1004 #980) +#1013 := (iff #1009 #1012) +#1014 := [rewrite]: #1013 +#1010 := (iff #255 #1009) +#981 := (iff #249 #980) +#978 := (iff #248 #975) +#971 := (implies #246 #968) +#976 := (iff #971 #975) +#977 := [rewrite]: #976 +#972 := (iff #248 #971) +#969 := (iff #247 #968) +#970 := [monotonicity #941]: #969 +#973 := [monotonicity #970]: #972 +#979 := [trans #973 #977]: #978 +#982 := [quant-intro #979]: #981 +#1007 := (iff #254 #1004) +#1000 := (implies #980 #983) +#1005 := (iff #1000 #1004) +#1006 := [rewrite]: #1005 +#1001 := (iff #254 #1000) +#998 := (iff #253 #983) +#993 := (and true #983) +#996 := (iff #993 #983) +#997 := [rewrite]: #996 +#994 := (iff #253 #993) +#984 := (iff #251 #983) +#985 := [rewrite]: #984 +#991 := (iff #252 true) +#986 := (implies #983 true) +#989 := (iff #986 true) +#990 := [rewrite]: #989 +#987 := (iff #252 #986) +#988 := [monotonicity #985]: #987 +#992 := [trans #988 #990]: #991 +#995 := [monotonicity #992 #985]: #994 +#999 := [trans #995 #997]: #998 +#1002 := [monotonicity #982 #999]: #1001 +#1008 := [trans #1002 #1006]: #1007 +#1011 := [monotonicity #1008 #982]: #1010 +#1016 := [trans #1011 #1014]: #1015 +#1019 := [monotonicity #967 #1016]: #1018 +#1025 := [trans #1019 #1023]: #1024 +#1028 := [monotonicity #1025 #967]: #1027 +#1033 := [trans #1028 #1031]: #1032 +#1036 := [monotonicity #1033]: #1035 +#1040 := [trans #1036 #1038]: #1039 +#1043 := [monotonicity #1040]: #1042 +#1049 := [trans #1043 #1047]: #1048 +#934 := (iff #231 #933) +#935 := [rewrite]: #934 +#1052 := [monotonicity #935 #1049]: #1051 +#1058 := [trans #1052 #1056]: #1057 +#1061 := [monotonicity #1058]: #1060 +#1067 := [trans #1061 #1065]: #1066 +#931 := (iff #226 #930) +#932 := [rewrite]: #931 +#1070 := [monotonicity #932 #1067]: #1069 +#1076 := [trans #1070 #1074]: #1075 +#1079 := [monotonicity #1076]: #1078 +#1083 := [trans #1079 #1081]: #1082 +#1085 := [monotonicity #1083]: #1084 +#1087 := [trans #1085 #1081]: #1086 +#928 := (iff #224 #911) +#583 := (iff #139 #582) +#580 := (iff #138 #579) +#509 := (iff #118 #508) +#506 := (iff #117 #505) +#507 := [rewrite]: #506 +#510 := [monotonicity #507]: #509 +#581 := [monotonicity #510]: #580 +#584 := [quant-intro #581]: #583 +#929 := [monotonicity #584]: #928 +#1090 := [monotonicity #929 #1087]: #1089 +#1095 := [trans #1090 #1093]: #1094 +#1098 := [monotonicity #1095]: #1097 +#1102 := [trans #1098 #1100]: #1101 +#1104 := [monotonicity #1102]: #1103 +#1106 := [trans #1104 #1100]: #1105 +#926 := (iff #223 #912) +#917 := (implies true #912) +#920 := (iff #917 #912) +#921 := [rewrite]: #920 +#924 := (iff #223 #917) +#922 := (iff #222 #912) +#918 := (iff #222 #917) +#915 := (iff #221 #912) +#908 := (implies #582 #903) +#913 := (iff #908 #912) +#914 := [rewrite]: #913 +#909 := (iff #221 #908) +#906 := (iff #220 #903) +#588 := (not #585) +#900 := (implies #588 #895) +#904 := (iff #900 #903) +#905 := [rewrite]: #904 +#901 := (iff #220 #900) +#898 := (iff #219 #895) +#891 := (implies #145 #886) +#896 := (iff #891 #895) +#897 := [rewrite]: #896 +#892 := (iff #219 #891) +#889 := (iff #218 #886) +#882 := (implies #599 #877) +#887 := (iff #882 #886) +#888 := [rewrite]: #887 +#883 := (iff #218 #882) +#880 := (iff #217 #877) +#873 := (implies #151 #868) +#878 := (iff #873 #877) +#879 := [rewrite]: #878 +#874 := (iff #217 #873) +#871 := (iff #216 #868) +#864 := (implies #613 #859) +#869 := (iff #864 #868) +#870 := [rewrite]: #869 +#865 := (iff #216 #864) +#862 := (iff #215 #859) +#855 := (implies #627 #850) +#860 := (iff #855 #859) +#861 := [rewrite]: #860 +#856 := (iff #215 #855) +#853 := (iff #214 #850) +#847 := (and #842 #167) +#851 := (iff #847 #850) +#852 := [rewrite]: #851 +#848 := (iff #214 #847) +#845 := (iff #213 #842) +#838 := (implies #167 #833) +#843 := (iff #838 #842) +#844 := [rewrite]: #843 +#839 := (iff #213 #838) +#836 := (iff #212 #833) +#830 := (and #825 #642) +#834 := (iff #830 #833) +#835 := [rewrite]: #834 +#831 := (iff #212 #830) +#643 := (iff #171 #642) +#640 := (iff #170 #637) +#633 := (implies #630 #616) +#638 := (iff #633 #637) +#639 := [rewrite]: #638 +#634 := (iff #170 #633) +#617 := (iff #163 #616) +#618 := [rewrite]: #617 +#631 := (iff #169 #630) +#632 := [rewrite]: #631 +#635 := [monotonicity #632 #618]: #634 +#641 := [trans #635 #639]: #640 +#644 := [quant-intro #641]: #643 +#828 := (iff #211 #825) +#821 := (implies #642 #805) +#826 := (iff #821 #825) +#827 := [rewrite]: #826 +#822 := (iff #211 #821) +#819 := (iff #210 #805) +#810 := (implies true #805) +#813 := (iff #810 #805) +#814 := [rewrite]: #813 +#817 := (iff #210 #810) +#815 := (iff #209 #805) +#811 := (iff #209 #810) +#808 := (iff #208 #805) +#802 := (and #797 #645) +#806 := (iff #802 #805) +#807 := [rewrite]: #806 +#803 := (iff #208 #802) +#646 := (iff #173 #645) +#647 := [rewrite]: #646 +#800 := (iff #207 #797) +#793 := (implies #645 #788) +#798 := (iff #793 #797) +#799 := [rewrite]: #798 +#794 := (iff #207 #793) +#791 := (iff #206 #788) +#785 := (and #780 #175) +#789 := (iff #785 #788) +#790 := [rewrite]: #789 +#786 := (iff #206 #785) +#783 := (iff #205 #780) +#776 := (implies #175 #771) +#781 := (iff #776 #780) +#782 := [rewrite]: #781 +#777 := (iff #205 #776) +#774 := (iff #204 #771) +#768 := (and #763 #670) +#772 := (iff #768 #771) +#773 := [rewrite]: #772 +#769 := (iff #204 #768) +#671 := (iff #183 #670) +#668 := (iff #182 #665) +#661 := (implies #656 #181) +#666 := (iff #661 #665) +#667 := [rewrite]: #666 +#662 := (iff #182 #661) +#659 := (iff #179 #656) +#653 := (and #648 #636) +#657 := (iff #653 #656) +#658 := [rewrite]: #657 +#654 := (iff #179 #653) +#651 := (iff #178 #636) +#652 := [monotonicity #632]: #651 +#649 := (iff #177 #648) +#650 := [rewrite]: #649 +#655 := [monotonicity #650 #652]: #654 +#660 := [trans #655 #658]: #659 +#663 := [monotonicity #660]: #662 +#669 := [trans #663 #667]: #668 +#672 := [quant-intro #669]: #671 +#766 := (iff #203 #763) +#759 := (implies #670 #754) +#764 := (iff #759 #763) +#765 := [rewrite]: #764 +#760 := (iff #203 #759) +#757 := (iff #202 #754) +#751 := (and #746 #691) +#755 := (iff #751 #754) +#756 := [rewrite]: #755 +#752 := (iff #202 #751) +#692 := (iff #188 #691) +#689 := (iff #187 #686) +#682 := (implies #673 #679) +#687 := (iff #682 #686) +#688 := [rewrite]: #687 +#683 := (iff #187 #682) +#680 := (iff #186 #679) +#677 := (= #185 #676) +#678 := [rewrite]: #677 +#681 := [monotonicity #678]: #680 +#674 := (iff #184 #673) +#675 := [monotonicity #632]: #674 +#684 := [monotonicity #675 #681]: #683 +#690 := [trans #684 #688]: #689 +#693 := [quant-intro #690]: #692 +#749 := (iff #201 #746) +#742 := (implies #691 #723) +#747 := (iff #742 #746) +#748 := [rewrite]: #747 +#743 := (iff #201 #742) +#740 := (iff #200 #723) +#735 := (and true #723) +#738 := (iff #735 #723) +#739 := [rewrite]: #738 +#736 := (iff #200 #735) +#724 := (iff #197 #723) +#721 := (iff #196 #718) +#714 := (implies #694 #711) +#719 := (iff #714 #718) +#720 := [rewrite]: #719 +#715 := (iff #196 #714) +#712 := (iff #195 #711) +#709 := (iff #194 #708) +#706 := (iff #193 #703) +#700 := (and #630 #192) +#704 := (iff #700 #703) +#705 := [rewrite]: #704 +#701 := (iff #193 #700) +#702 := [monotonicity #632]: #701 +#707 := [trans #702 #705]: #706 +#698 := (iff #191 #697) +#699 := [monotonicity #678]: #698 +#710 := [monotonicity #699 #707]: #709 +#713 := [quant-intro #710]: #712 +#695 := (iff #190 #694) +#696 := [rewrite]: #695 +#716 := [monotonicity #696 #713]: #715 +#722 := [trans #716 #720]: #721 +#725 := [quant-intro #722]: #724 +#733 := (iff #199 true) +#728 := (implies #723 true) +#731 := (iff #728 true) +#732 := [rewrite]: #731 +#729 := (iff #199 #728) +#726 := (iff #198 true) +#727 := [rewrite]: #726 +#730 := [monotonicity #725 #727]: #729 +#734 := [trans #730 #732]: #733 +#737 := [monotonicity #734 #725]: #736 +#741 := [trans #737 #739]: #740 +#744 := [monotonicity #693 #741]: #743 +#750 := [trans #744 #748]: #749 +#753 := [monotonicity #750 #693]: #752 +#758 := [trans #753 #756]: #757 +#761 := [monotonicity #672 #758]: #760 +#767 := [trans #761 #765]: #766 +#770 := [monotonicity #767 #672]: #769 +#775 := [trans #770 #773]: #774 +#778 := [monotonicity #775]: #777 +#784 := [trans #778 #782]: #783 +#787 := [monotonicity #784]: #786 +#792 := [trans #787 #790]: #791 +#795 := [monotonicity #647 #792]: #794 +#801 := [trans #795 #799]: #800 +#804 := [monotonicity #801 #647]: #803 +#809 := [trans #804 #807]: #808 +#812 := [monotonicity #809]: #811 +#816 := [trans #812 #814]: #815 +#818 := [monotonicity #816]: #817 +#820 := [trans #818 #814]: #819 +#823 := [monotonicity #644 #820]: #822 +#829 := [trans #823 #827]: #828 +#832 := [monotonicity #829 #644]: #831 +#837 := [trans #832 #835]: #836 +#840 := [monotonicity #837]: #839 +#846 := [trans #840 #844]: #845 +#849 := [monotonicity #846]: #848 +#854 := [trans #849 #852]: #853 +#628 := (iff #165 #627) +#625 := (iff #164 #622) +#619 := (implies #162 #616) +#623 := (iff #619 #622) +#624 := [rewrite]: #623 +#620 := (iff #164 #619) +#621 := [monotonicity #618]: #620 +#626 := [trans #621 #624]: #625 +#629 := [quant-intro #626]: #628 +#857 := [monotonicity #629 #854]: #856 +#863 := [trans #857 #861]: #862 +#614 := (iff #161 #613) +#611 := (iff #160 #608) +#605 := (implies #157 #602) +#609 := (iff #605 #608) +#610 := [rewrite]: #609 +#606 := (iff #160 #605) +#603 := (iff #159 #602) +#604 := [rewrite]: #603 +#607 := [monotonicity #604]: #606 +#612 := [trans #607 #610]: #611 +#615 := [quant-intro #612]: #614 +#866 := [monotonicity #615 #863]: #865 +#872 := [trans #866 #870]: #871 +#875 := [monotonicity #872]: #874 +#881 := [trans #875 #879]: #880 +#600 := (iff #148 #599) +#597 := (iff #147 #594) +#591 := (implies #508 #146) +#595 := (iff #591 #594) +#596 := [rewrite]: #595 +#592 := (iff #147 #591) +#593 := [monotonicity #510]: #592 +#598 := [trans #593 #596]: #597 +#601 := [quant-intro #598]: #600 +#884 := [monotonicity #601 #881]: #883 +#890 := [trans #884 #888]: #889 +#893 := [monotonicity #890]: #892 +#899 := [trans #893 #897]: #898 +#589 := (iff #143 #588) +#586 := (iff #142 #585) +#587 := [rewrite]: #586 +#590 := [monotonicity #587]: #589 +#902 := [monotonicity #590 #899]: #901 +#907 := [trans #902 #905]: #906 +#910 := [monotonicity #584 #907]: #909 +#916 := [trans #910 #914]: #915 +#919 := [monotonicity #916]: #918 +#923 := [trans #919 #921]: #922 +#925 := [monotonicity #923]: #924 +#927 := [trans #925 #921]: #926 +#1109 := [monotonicity #927 #1106]: #1108 +#1112 := [monotonicity #1109]: #1111 +#1116 := [trans #1112 #1114]: #1115 +#577 := (iff #137 #576) +#574 := (iff #136 #571) +#567 := (implies #547 #564) +#572 := (iff #567 #571) +#573 := [rewrite]: #572 +#568 := (iff #136 #567) +#565 := (iff #135 #564) +#562 := (iff #134 #561) +#559 := (iff #133 #556) +#553 := (and #505 #132) +#557 := (iff #553 #556) +#558 := [rewrite]: #557 +#554 := (iff #133 #553) +#555 := [monotonicity #507]: #554 +#560 := [trans #555 #558]: #559 +#551 := (iff #131 #550) +#530 := (= #125 #529) +#531 := [rewrite]: #530 +#552 := [monotonicity #531]: #551 +#563 := [monotonicity #552 #560]: #562 +#566 := [quant-intro #563]: #565 +#548 := (iff #130 #547) +#549 := [rewrite]: #548 +#569 := [monotonicity #549 #566]: #568 +#575 := [trans #569 #573]: #574 +#578 := [quant-intro #575]: #577 +#1119 := [monotonicity #578 #1116]: #1118 +#1125 := [trans #1119 #1123]: #1124 +#545 := (iff #128 #544) +#542 := (iff #127 #539) +#535 := (implies #526 #532) +#540 := (iff #535 #539) +#541 := [rewrite]: #540 +#536 := (iff #127 #535) +#533 := (iff #126 #532) +#534 := [monotonicity #531]: #533 +#527 := (iff #124 #526) +#528 := [monotonicity #507]: #527 +#537 := [monotonicity #528 #534]: #536 +#543 := [trans #537 #541]: #542 +#546 := [quant-intro #543]: #545 +#1128 := [monotonicity #546 #1125]: #1127 +#1134 := [trans #1128 #1132]: #1133 +#524 := (iff #123 #523) +#521 := (iff #122 #518) +#514 := (implies #511 #121) +#519 := (iff #514 #518) +#520 := [rewrite]: #519 +#515 := (iff #122 #514) +#512 := (iff #119 #511) +#503 := (iff #115 #502) +#504 := [rewrite]: #503 +#513 := [monotonicity #504 #510]: #512 +#516 := [monotonicity #513]: #515 +#522 := [trans #516 #520]: #521 +#525 := [quant-intro #522]: #524 +#1137 := [monotonicity #525 #1134]: #1136 +#1143 := [trans #1137 #1141]: #1142 +#1146 := [monotonicity #1143]: #1145 +#1152 := [trans #1146 #1150]: #1151 +#500 := (iff #109 #499) +#501 := [rewrite]: #500 +#1155 := [monotonicity #501 #1152]: #1154 +#1161 := [trans #1155 #1159]: #1160 +#1164 := [monotonicity #1161]: #1163 +#1168 := [trans #1164 #1166]: #1167 +#1170 := [monotonicity #1168]: #1169 +#1172 := [trans #1170 #1166]: #1171 +#1175 := [monotonicity #498 #1172]: #1174 +#1181 := [trans #1175 #1179]: #1180 +#1184 := [monotonicity #1181 #498]: #1183 +#1189 := [trans #1184 #1187]: #1188 +#1192 := [monotonicity #483 #1189]: #1191 +#1198 := [trans #1192 #1196]: #1197 +#1201 := [monotonicity #1198 #483]: #1200 +#1206 := [trans #1201 #1204]: #1205 +#1209 := [monotonicity #468 #1206]: #1208 +#1215 := [trans #1209 #1213]: #1214 +#1218 := [monotonicity #1215 #468]: #1217 +#1223 := [trans #1218 #1221]: #1222 +#1226 := [monotonicity #1223]: #1225 +#1232 := [trans #1226 #1230]: #1231 +#1235 := [monotonicity #1232]: #1234 +#1240 := [trans #1235 #1238]: #1239 +#1243 := [monotonicity #453 #1240]: #1242 +#1249 := [trans #1243 #1247]: #1248 +#1252 := [monotonicity #1249 #453]: #1251 +#1257 := [trans #1252 #1255]: #1256 +#1260 := [monotonicity #1257]: #1259 +#1264 := [trans #1260 #1262]: #1263 +#1267 := [monotonicity #1264]: #1266 +#1273 := [trans #1267 #1271]: #1272 +#449 := (iff #76 #448) +#446 := (iff #75 #443) +#440 := (implies #73 #437) +#444 := (iff #440 #443) +#445 := [rewrite]: #444 +#441 := (iff #75 #440) +#438 := (iff #74 #437) +#439 := [rewrite]: #438 +#442 := [monotonicity #439]: #441 +#447 := [trans #442 #445]: #446 +#450 := [quant-intro #447]: #449 +#1276 := [monotonicity #450 #1273]: #1275 +#1282 := [trans #1276 #1280]: #1281 +#435 := (iff #72 #434) +#432 := (iff #71 #429) +#426 := (implies #68 #423) +#430 := (iff #426 #429) +#431 := [rewrite]: #430 +#427 := (iff #71 #426) +#424 := (iff #70 #423) +#425 := [rewrite]: #424 +#428 := [monotonicity #425]: #427 +#433 := [trans #428 #431]: #432 +#436 := [quant-intro #433]: #435 +#1285 := [monotonicity #436 #1282]: #1284 +#1291 := [trans #1285 #1289]: #1290 +#1294 := [monotonicity #1291]: #1293 +#1298 := [trans #1294 #1296]: #1297 +#1300 := [monotonicity #1298]: #1299 +#1302 := [trans #1300 #1296]: #1301 +#1305 := [monotonicity #1302]: #1304 +#1939 := [trans #1305 #1937]: #1938 +#422 := [asserted]: #293 +#1940 := [mp #422 #1939]: #1935 +#1941 := [not-or-elim #1940]: #79 +#2004 := [mp~ #1941 #1966]: #79 +#4354 := [mp #2004 #4353]: #4349 +#5709 := (not #4349) +#5715 := (or #5709 #2266) +#5470 := [quant-inst]: #5715 +#6005 := [unit-resolution #5470 #4354 #6004]: false +#6009 := [lemma #6005]: #2266 +#3870 := (or #2166 #2033) +#3957 := [def-axiom]: #3870 +#7294 := [unit-resolution #3957 #6009]: #2166 +#2421 := (not #2166) +#4707 := (or #2421 #4704) +#4710 := (not #4707) +#4362 := (forall (vars (?x27 T2)) (:pat #4355) #1313) +#4367 := (not #4362) +#4713 := (or #4367 #4710) +#4716 := (not #4713) +decl ?x27!0 :: T2 +#2011 := ?x27!0 +#2012 := (uf_12 ?x27!0) +#2013 := (>= #2012 0::int) +#2014 := (not #2013) +#4719 := (or #2014 #4716) +#4722 := (not #4719) +#4725 := (or #1308 #4722) +#4728 := (not #4725) +#4735 := (forall (vars (?x24 T2)) (:pat #4355) #1912) +#4738 := (iff #1915 #4735) +#4736 := (iff #1912 #1912) +#4737 := [refl]: #4736 +#4739 := [quant-intro #4737]: #4738 +#2238 := (~ #1915 #1915) +#2072 := (~ #1912 #1912) +#2073 := [refl]: #2072 +#2239 := [nnf-pos #2073]: #2238 +#1945 := [not-or-elim #1940]: #1915 +#2265 := [mp~ #1945 #2239]: #1915 +#4740 := [mp #2265 #4739]: #4735 +#5485 := [hypothesis]: #1308 +#5347 := (not #4735) +#5348 := (or #5347 #81) +#4030 := (= uf_11 uf_11) +#4033 := (not #4030) +#4034 := (or #4033 #81) +#5341 := (or #5347 #4034) +#5350 := (iff #5341 #5348) +#5361 := (iff #5348 #5348) +#5363 := [rewrite]: #5361 +#5108 := (iff #4034 #81) +#5046 := (or false #81) +#5106 := (iff #5046 #81) +#5107 := [rewrite]: #5106 +#5104 := (iff #4034 #5046) +#3956 := (iff #4033 false) +#6849 := (not true) +#6852 := (iff #6849 false) +#6853 := [rewrite]: #6852 +#5051 := (iff #4033 #6849) +#4038 := (iff #4030 true) +#5050 := [rewrite]: #4038 +#5052 := [monotonicity #5050]: #5051 +#3939 := [trans #5052 #6853]: #3956 +#5105 := [monotonicity #3939]: #5104 +#5346 := [trans #5105 #5107]: #5108 +#5351 := [monotonicity #5346]: #5350 +#5364 := [trans #5351 #5363]: #5350 +#5349 := [quant-inst]: #5341 +#5484 := [mp #5349 #5364]: #5348 +#5486 := [unit-resolution #5484 #5485 #4740]: false +#5487 := [lemma #5486]: #81 +#4731 := (or #1308 #4728) +#3666 := (forall (vars (?x66 T2) (?x67 T2)) #3661) +#3672 := (not #3666) +#3673 := (or #251 #3672) +#3674 := (not #3673) +#3701 := (or #3674 #3698) +#3708 := (not #3701) +#3644 := (forall (vars (?x64 T2)) #3639) +#3707 := (not #3644) +#3709 := (or #3707 #3708) +#3710 := (not #3709) +#3607 := (forall (vars (?x65 T2)) #3596) +#3613 := (not #3607) +#3614 := (or #2460 #2993 #3613) +#3615 := (not #3614) +#3715 := (or #3615 #3710) +#3722 := (not #3715) +#3592 := (forall (vars (?x41 T2)) #3581) +#3721 := (not #3592) +#3723 := (or #1062 #1044 #1071 #1053 #3721 #3722) +#3724 := (not #3723) +#3486 := (forall (vars (?x53 T2)) #3475) +#3493 := (not #3486) +#3471 := (forall (vars (?x50 T2) (?x51 T2)) #3466) +#3492 := (not #3471) +#3494 := (or #2318 #2893 #3492 #3493) +#3495 := (not #3494) +#3500 := (or #3449 #3495) +#3507 := (not #3500) +#3426 := (forall (vars (?x48 T2) (?x49 T2)) #3421) +#3506 := (not #3426) +#3508 := (or #3506 #3507) +#3509 := (not #3508) +#3514 := (or #3403 #3509) +#3520 := (not #3514) +#3521 := (or #1501 #3520) +#3522 := (not #3521) +#3527 := (or #2235 #3522) +#3533 := (not #3527) +#3534 := (or #1492 #3533) +#3535 := (not #3534) +#3540 := (or #1492 #3535) +#3546 := (not #3540) +#3547 := (or #824 #3546) +#3548 := (not #3547) +#3553 := (or #2836 #3548) +#3559 := (not #3553) +#3560 := (or #1487 #3559) +#3561 := (not #3560) +#3566 := (or #2822 #3561) +#3574 := (not #3566) +#3380 := (forall (vars (?x43 T2)) #3375) +#3573 := (not #3380) +#3362 := (forall (vars (?x44 T2)) #3359) +#3572 := (not #3362) +#3575 := (or #876 #585 #1652 #1656 #2412 #2415 #3572 #3573 #3574) +#3576 := (not #3575) +#3729 := (or #3576 #3724) +#3739 := (not #3729) +#3352 := (forall (vars (?x39 T2)) #3347) +#3738 := (not #3352) +#3324 := (forall (vars (?x32 T2)) #3319) +#3737 := (not #3324) +#3296 := (forall (vars (?x35 T2) (?x36 T2)) #3291) +#3736 := (not #3296) +#3273 := (forall (vars (?x37 T2) (?x38 T2)) #3268) +#3735 := (not #3273) +#3740 := (or #1854 #1849 #3735 #3736 #3737 #3738 #3739) +#3741 := (not #3740) +#3241 := (forall (vars (?x33 T2)) #3230) +#3247 := (not #3241) +#3248 := (or #2085 #2688 #3247) +#3249 := (not #3248) +#3746 := (or #3249 #3741) +#3753 := (not #3746) +#3226 := (forall (vars (?x30 T2) (?x31 T2)) #3221) +#3752 := (not #3226) +#3754 := (or #3752 #3753) +#3755 := (not #3754) +#3760 := (or #3204 #3755) +#3767 := (not #3760) +#3181 := (forall (vars (?x28 T2) (?x29 T2)) #3176) +#3766 := (not #3181) +#3768 := (or #3766 #3767) +#3769 := (not #3768) +#3774 := (or #2421 #3769) +#3780 := (not #3774) +#3781 := (or #1317 #3780) +#3782 := (not #3781) +#3787 := (or #2014 #3782) +#3793 := (not #3787) +#3794 := (or #1308 #3793) +#3795 := (not #3794) +#3800 := (or #1308 #3795) +#4732 := (iff #3800 #4731) +#4729 := (iff #3795 #4728) +#4726 := (iff #3794 #4725) +#4723 := (iff #3793 #4722) +#4720 := (iff #3787 #4719) +#4717 := (iff #3782 #4716) +#4714 := (iff #3781 #4713) +#4711 := (iff #3780 #4710) +#4708 := (iff #3774 #4707) +#4705 := (iff #3769 #4704) +#4702 := (iff #3768 #4701) +#4699 := (iff #3767 #4698) +#4696 := (iff #3760 #4695) +#4693 := (iff #3755 #4692) +#4690 := (iff #3754 #4689) +#4687 := (iff #3753 #4686) +#4684 := (iff #3746 #4683) +#4681 := (iff #3741 #4680) +#4678 := (iff #3740 #4677) +#4675 := (iff #3739 #4674) +#4672 := (iff #3729 #4671) +#4669 := (iff #3724 #4668) +#4666 := (iff #3723 #4665) +#4663 := (iff #3722 #4662) +#4660 := (iff #3715 #4659) +#4657 := (iff #3710 #4656) +#4654 := (iff #3709 #4653) +#4651 := (iff #3708 #4650) +#4648 := (iff #3701 #4647) +#4645 := (iff #3674 #4644) +#4642 := (iff #3673 #4641) +#4639 := (iff #3672 #4638) +#4636 := (iff #3666 #4633) +#4634 := (iff #3661 #3661) +#4635 := [refl]: #4634 +#4637 := [quant-intro #4635]: #4636 +#4640 := [monotonicity #4637]: #4639 +#4643 := [monotonicity #4640]: #4642 +#4646 := [monotonicity #4643]: #4645 +#4649 := [monotonicity #4646]: #4648 +#4652 := [monotonicity #4649]: #4651 +#4631 := (iff #3707 #4630) +#4628 := (iff #3644 #4625) +#4626 := (iff #3639 #3639) +#4627 := [refl]: #4626 +#4629 := [quant-intro #4627]: #4628 +#4632 := [monotonicity #4629]: #4631 +#4655 := [monotonicity #4632 #4652]: #4654 +#4658 := [monotonicity #4655]: #4657 +#4623 := (iff #3615 #4622) +#4620 := (iff #3614 #4619) +#4617 := (iff #3613 #4616) +#4614 := (iff #3607 #4611) +#4612 := (iff #3596 #3596) +#4613 := [refl]: #4612 +#4615 := [quant-intro #4613]: #4614 +#4618 := [monotonicity #4615]: #4617 +#4621 := [monotonicity #4618]: #4620 +#4624 := [monotonicity #4621]: #4623 +#4661 := [monotonicity #4624 #4658]: #4660 +#4664 := [monotonicity #4661]: #4663 +#4607 := (iff #3721 #4606) +#4604 := (iff #3592 #4601) +#4602 := (iff #3581 #3581) +#4603 := [refl]: #4602 +#4605 := [quant-intro #4603]: #4604 +#4608 := [monotonicity #4605]: #4607 +#4667 := [monotonicity #4608 #4664]: #4666 +#4670 := [monotonicity #4667]: #4669 +#4599 := (iff #3576 #4598) +#4596 := (iff #3575 #4595) +#4593 := (iff #3574 #4592) +#4590 := (iff #3566 #4589) +#4587 := (iff #3561 #4586) +#4584 := (iff #3560 #4583) +#4581 := (iff #3559 #4580) +#4578 := (iff #3553 #4577) +#4575 := (iff #3548 #4574) +#4572 := (iff #3547 #4571) +#4569 := (iff #3546 #4568) +#4566 := (iff #3540 #4565) +#4563 := (iff #3535 #4562) +#4560 := (iff #3534 #4559) +#4557 := (iff #3533 #4556) +#4554 := (iff #3527 #4553) +#4551 := (iff #3522 #4550) +#4548 := (iff #3521 #4547) +#4545 := (iff #3520 #4544) +#4542 := (iff #3514 #4541) +#4539 := (iff #3509 #4538) +#4536 := (iff #3508 #4535) +#4533 := (iff #3507 #4532) +#4530 := (iff #3500 #4529) +#4527 := (iff #3495 #4526) +#4524 := (iff #3494 #4523) +#4521 := (iff #3493 #4520) +#4518 := (iff #3486 #4515) +#4516 := (iff #3475 #3475) +#4517 := [refl]: #4516 +#4519 := [quant-intro #4517]: #4518 +#4522 := [monotonicity #4519]: #4521 +#4512 := (iff #3492 #4511) +#4509 := (iff #3471 #4506) +#4507 := (iff #3466 #3466) +#4508 := [refl]: #4507 +#4510 := [quant-intro #4508]: #4509 +#4513 := [monotonicity #4510]: #4512 +#4525 := [monotonicity #4513 #4522]: #4524 +#4528 := [monotonicity #4525]: #4527 +#4531 := [monotonicity #4528]: #4530 +#4534 := [monotonicity #4531]: #4533 +#4504 := (iff #3506 #4503) +#4501 := (iff #3426 #4498) +#4499 := (iff #3421 #3421) +#4500 := [refl]: #4499 +#4502 := [quant-intro #4500]: #4501 +#4505 := [monotonicity #4502]: #4504 +#4537 := [monotonicity #4505 #4534]: #4536 +#4540 := [monotonicity #4537]: #4539 +#4543 := [monotonicity #4540]: #4542 +#4546 := [monotonicity #4543]: #4545 +#4495 := (iff #1501 #4494) +#4492 := (iff #1498 #4489) +#4490 := (iff #1495 #1495) +#4491 := [refl]: #4490 +#4493 := [quant-intro #4491]: #4492 +#4496 := [monotonicity #4493]: #4495 +#4549 := [monotonicity #4496 #4546]: #4548 +#4552 := [monotonicity #4549]: #4551 +#4555 := [monotonicity #4552]: #4554 +#4558 := [monotonicity #4555]: #4557 +#4561 := [monotonicity #4558]: #4560 +#4564 := [monotonicity #4561]: #4563 +#4567 := [monotonicity #4564]: #4566 +#4570 := [monotonicity #4567]: #4569 +#4487 := (iff #824 #4486) +#4484 := (iff #642 #4481) +#4482 := (iff #637 #637) +#4483 := [refl]: #4482 +#4485 := [quant-intro #4483]: #4484 +#4488 := [monotonicity #4485]: #4487 +#4573 := [monotonicity #4488 #4570]: #4572 +#4576 := [monotonicity #4573]: #4575 +#4579 := [monotonicity #4576]: #4578 +#4582 := [monotonicity #4579]: #4581 +#4478 := (iff #1487 #4477) +#4475 := (iff #1484 #4472) +#4473 := (iff #1479 #1479) +#4474 := [refl]: #4473 +#4476 := [quant-intro #4474]: #4475 +#4479 := [monotonicity #4476]: #4478 +#4585 := [monotonicity #4479 #4582]: #4584 +#4588 := [monotonicity #4585]: #4587 +#4591 := [monotonicity #4588]: #4590 +#4594 := [monotonicity #4591]: #4593 +#4470 := (iff #3573 #4469) +#4467 := (iff #3380 #4464) +#4465 := (iff #3375 #3375) +#4466 := [refl]: #4465 +#4468 := [quant-intro #4466]: #4467 +#4471 := [monotonicity #4468]: #4470 +#4462 := (iff #3572 #4461) +#4459 := (iff #3362 #4456) +#4457 := (iff #3359 #3359) +#4458 := [refl]: #4457 +#4460 := [quant-intro #4458]: #4459 +#4463 := [monotonicity #4460]: #4462 +#4452 := (iff #1652 #4451) +#4449 := (iff #1649 #4446) +#4447 := (iff #1644 #1644) +#4448 := [refl]: #4447 +#4450 := [quant-intro #4448]: #4449 +#4453 := [monotonicity #4450]: #4452 +#4597 := [monotonicity #4453 #4463 #4471 #4594]: #4596 +#4600 := [monotonicity #4597]: #4599 +#4673 := [monotonicity #4600 #4670]: #4672 +#4676 := [monotonicity #4673]: #4675 +#4443 := (iff #3738 #4442) +#4440 := (iff #3352 #4437) +#4438 := (iff #3347 #3347) +#4439 := [refl]: #4438 +#4441 := [quant-intro #4439]: #4440 +#4444 := [monotonicity #4441]: #4443 +#4435 := (iff #3737 #4434) +#4432 := (iff #3324 #4429) +#4430 := (iff #3319 #3319) +#4431 := [refl]: #4430 +#4433 := [quant-intro #4431]: #4432 +#4436 := [monotonicity #4433]: #4435 +#4427 := (iff #3736 #4426) +#4424 := (iff #3296 #4421) +#4422 := (iff #3291 #3291) +#4423 := [refl]: #4422 +#4425 := [quant-intro #4423]: #4424 +#4428 := [monotonicity #4425]: #4427 +#4418 := (iff #3735 #4417) +#4415 := (iff #3273 #4412) +#4413 := (iff #3268 #3268) +#4414 := [refl]: #4413 +#4416 := [quant-intro #4414]: #4415 +#4419 := [monotonicity #4416]: #4418 +#4410 := (iff #1849 #4409) +#4407 := (iff #1846 #4404) +#4405 := (iff #1843 #1843) +#4406 := [refl]: #4405 +#4408 := [quant-intro #4406]: #4407 +#4411 := [monotonicity #4408]: #4410 +#4679 := [monotonicity #4411 #4419 #4428 #4436 #4444 #4676]: #4678 +#4682 := [monotonicity #4679]: #4681 +#4401 := (iff #3249 #4400) +#4398 := (iff #3248 #4397) +#4395 := (iff #3247 #4394) +#4392 := (iff #3241 #4389) +#4390 := (iff #3230 #3230) +#4391 := [refl]: #4390 +#4393 := [quant-intro #4391]: #4392 +#4396 := [monotonicity #4393]: #4395 +#4399 := [monotonicity #4396]: #4398 +#4402 := [monotonicity #4399]: #4401 +#4685 := [monotonicity #4402 #4682]: #4684 +#4688 := [monotonicity #4685]: #4687 +#4386 := (iff #3752 #4385) +#4383 := (iff #3226 #4380) +#4381 := (iff #3221 #3221) +#4382 := [refl]: #4381 +#4384 := [quant-intro #4382]: #4383 +#4387 := [monotonicity #4384]: #4386 +#4691 := [monotonicity #4387 #4688]: #4690 +#4694 := [monotonicity #4691]: #4693 +#4697 := [monotonicity #4694]: #4696 +#4700 := [monotonicity #4697]: #4699 +#4377 := (iff #3766 #4376) +#4374 := (iff #3181 #4371) +#4372 := (iff #3176 #3176) +#4373 := [refl]: #4372 +#4375 := [quant-intro #4373]: #4374 +#4378 := [monotonicity #4375]: #4377 +#4703 := [monotonicity #4378 #4700]: #4702 +#4706 := [monotonicity #4703]: #4705 +#4709 := [monotonicity #4706]: #4708 +#4712 := [monotonicity #4709]: #4711 +#4368 := (iff #1317 #4367) +#4365 := (iff #1314 #4362) +#4363 := (iff #1313 #1313) +#4364 := [refl]: #4363 +#4366 := [quant-intro #4364]: #4365 +#4369 := [monotonicity #4366]: #4368 +#4715 := [monotonicity #4369 #4712]: #4714 +#4718 := [monotonicity #4715]: #4717 +#4721 := [monotonicity #4718]: #4720 +#4724 := [monotonicity #4721]: #4723 +#4727 := [monotonicity #4724]: #4726 +#4730 := [monotonicity #4727]: #4729 +#4733 := [monotonicity #4730]: #4732 +#2527 := (not #2526) +#2523 := (not #2522) +#3081 := (and #2523 #2527) +#3084 := (not #3081) +#3101 := (or #3084 #3096) +#3104 := (not #3101) +#2536 := (not #251) +#2546 := (and #2536 #1756) +#3110 := (or #2546 #3104) +#3054 := (not #3049) +#3072 := (and #3054 #3067) +#3075 := (or #1716 #3072) +#3078 := (forall (vars (?x64 T2)) #3075) +#3115 := (and #3078 #3110) +#2456 := (not #2455) +#3024 := (and #2456 #3021) +#3027 := (not #3024) +#3030 := (forall (vars (?x65 T2)) #3027) +#2996 := (not #2993) +#2461 := (not #2460) +#3036 := (and #2461 #2996 #3030) +#3118 := (or #3036 #3115) +#2441 := (not #1670) +#2444 := (forall (vars (?x41 T2)) #2441) +#3121 := (and #229 #234 #930 #933 #2444 #3118) +#2314 := (not #2313) +#2924 := (and #630 #2314 #2921) +#2927 := (not #2924) +#2930 := (forall (vars (?x53 T2)) #2927) +#2896 := (not #2893) +#2319 := (not #2318) +#2939 := (and #1541 #2319 #2896 #2930) +#2287 := (not #2286) +#2866 := (and #2287 #2289) +#2869 := (not #2866) +#2887 := (or #2869 #2882) +#2890 := (not #2887) +#2944 := (or #2890 #2939) +#2947 := (and #1517 #2944) +#2258 := (not #2257) +#2841 := (and #2255 #2258) +#2844 := (not #2841) +#2860 := (or #2844 #2855) +#2863 := (not #2860) +#2950 := (or #2863 #2947) +#2953 := (and #1498 #2950) +#2956 := (or #2235 #2953) +#2959 := (and #173 #2956) +#2962 := (or #1492 #2959) +#2965 := (and #642 #2962) +#2968 := (or #2836 #2965) +#2971 := (and #1484 #2968) +#2974 := (or #2822 #2971) +#2416 := (not #2415) +#2413 := (not #2412) +#2980 := (and #151 #588 #1473 #1631 #1649 #1657 #2413 #2416 #2974) +#3124 := (or #2980 #3121) +#2780 := (not #2775) +#2798 := (and #2162 #2780 #2793) +#2801 := (or #1413 #2798) +#2804 := (forall (vars (?x39 T2)) #2801) +#2735 := (not #2730) +#2753 := (and #2133 #2735 #2748) +#2759 := (or #1395 #2753) +#2764 := (forall (vars (?x32 T2)) #2759) +#3130 := (and #109 #1821 #1837 #1846 #2764 #2804 #3124) +#2691 := (not #2688) +#2098 := (not #2097) +#2679 := (and #77 #2095 #2098) +#2682 := (not #2679) +#2685 := (forall (vars (?x33 T2)) #2682) +#2086 := (not #2085) +#2715 := (and #2086 #2685 #2691) +#3135 := (or #2715 #3130) +#3138 := (and #1360 #3135) +#2058 := (not #2057) +#2667 := (and #2058 #2059) +#2670 := (not #2667) +#2673 := (or #2664 #2670) +#2676 := (not #2673) +#3141 := (or #2676 #3138) +#3144 := (and #1334 #3141) +#2035 := (not #2034) +#2635 := (and #2033 #2035) +#2638 := (not #2635) +#2654 := (or #2638 #2649) +#2657 := (not #2654) +#3147 := (or #2657 #3144) +#3150 := (and #1314 #3147) +#3153 := (or #2014 #3150) +#3156 := (and #81 #3153) +#3159 := (or #1308 #3156) +#3801 := (iff #3159 #3800) +#3798 := (iff #3156 #3795) +#3790 := (and #81 #3787) +#3796 := (iff #3790 #3795) +#3797 := [rewrite]: #3796 +#3791 := (iff #3156 #3790) +#3788 := (iff #3153 #3787) +#3785 := (iff #3150 #3782) +#3777 := (and #1314 #3774) +#3783 := (iff #3777 #3782) +#3784 := [rewrite]: #3783 +#3778 := (iff #3150 #3777) +#3775 := (iff #3147 #3774) +#3772 := (iff #3144 #3769) +#3763 := (and #3181 #3760) +#3770 := (iff #3763 #3769) +#3771 := [rewrite]: #3770 +#3764 := (iff #3144 #3763) +#3761 := (iff #3141 #3760) +#3758 := (iff #3138 #3755) +#3749 := (and #3226 #3746) +#3756 := (iff #3749 #3755) +#3757 := [rewrite]: #3756 +#3750 := (iff #3138 #3749) +#3747 := (iff #3135 #3746) +#3744 := (iff #3130 #3741) +#3732 := (and #109 #3273 #3296 #1846 #3324 #3352 #3729) +#3742 := (iff #3732 #3741) +#3743 := [rewrite]: #3742 +#3733 := (iff #3130 #3732) +#3730 := (iff #3124 #3729) +#3727 := (iff #3121 #3724) +#3718 := (and #229 #234 #930 #933 #3592 #3715) +#3725 := (iff #3718 #3724) +#3726 := [rewrite]: #3725 +#3719 := (iff #3121 #3718) +#3716 := (iff #3118 #3715) +#3713 := (iff #3115 #3710) +#3704 := (and #3644 #3701) +#3711 := (iff #3704 #3710) +#3712 := [rewrite]: #3711 +#3705 := (iff #3115 #3704) +#3702 := (iff #3110 #3701) +#3699 := (iff #3104 #3698) +#3696 := (iff #3101 #3693) +#3679 := (or #2522 #2526) +#3690 := (or #3679 #3096) +#3694 := (iff #3690 #3693) +#3695 := [rewrite]: #3694 +#3691 := (iff #3101 #3690) +#3688 := (iff #3084 #3679) +#3680 := (not #3679) +#3683 := (not #3680) +#3686 := (iff #3683 #3679) +#3687 := [rewrite]: #3686 +#3684 := (iff #3084 #3683) +#3681 := (iff #3081 #3680) +#3682 := [rewrite]: #3681 +#3685 := [monotonicity #3682]: #3684 +#3689 := [trans #3685 #3687]: #3688 +#3692 := [monotonicity #3689]: #3691 +#3697 := [trans #3692 #3695]: #3696 +#3700 := [monotonicity #3697]: #3699 +#3677 := (iff #2546 #3674) +#3669 := (and #2536 #3666) +#3675 := (iff #3669 #3674) +#3676 := [rewrite]: #3675 +#3670 := (iff #2546 #3669) +#3667 := (iff #1756 #3666) +#3664 := (iff #1753 #3661) +#3647 := (or #1347 #1709) +#3658 := (or #3647 #1750) +#3662 := (iff #3658 #3661) +#3663 := [rewrite]: #3662 +#3659 := (iff #1753 #3658) +#3656 := (iff #1747 #3647) +#3648 := (not #3647) +#3651 := (not #3648) +#3654 := (iff #3651 #3647) +#3655 := [rewrite]: #3654 +#3652 := (iff #1747 #3651) +#3649 := (iff #1744 #3648) +#3650 := [rewrite]: #3649 +#3653 := [monotonicity #3650]: #3652 +#3657 := [trans #3653 #3655]: #3656 +#3660 := [monotonicity #3657]: #3659 +#3665 := [trans #3660 #3663]: #3664 +#3668 := [quant-intro #3665]: #3667 +#3671 := [monotonicity #3668]: #3670 +#3678 := [trans #3671 #3676]: #3677 +#3703 := [monotonicity #3678 #3700]: #3702 +#3645 := (iff #3078 #3644) +#3642 := (iff #3075 #3639) +#3620 := (or #68 #1709) +#3636 := (or #3620 #3633) +#3640 := (iff #3636 #3639) +#3641 := [rewrite]: #3640 +#3637 := (iff #3075 #3636) +#3634 := (iff #3072 #3633) +#3635 := [rewrite]: #3634 +#3629 := (iff #1716 #3620) +#3621 := (not #3620) +#3624 := (not #3621) +#3627 := (iff #3624 #3620) +#3628 := [rewrite]: #3627 +#3625 := (iff #1716 #3624) +#3622 := (iff #1713 #3621) +#3623 := [rewrite]: #3622 +#3626 := [monotonicity #3623]: #3625 +#3630 := [trans #3626 #3628]: #3629 +#3638 := [monotonicity #3630 #3635]: #3637 +#3643 := [trans #3638 #3641]: #3642 +#3646 := [quant-intro #3643]: #3645 +#3706 := [monotonicity #3646 #3703]: #3705 +#3714 := [trans #3706 #3712]: #3713 +#3618 := (iff #3036 #3615) +#3610 := (and #2461 #2996 #3607) +#3616 := (iff #3610 #3615) +#3617 := [rewrite]: #3616 +#3611 := (iff #3036 #3610) +#3608 := (iff #3030 #3607) +#3605 := (iff #3027 #3596) +#3597 := (not #3596) +#3600 := (not #3597) +#3603 := (iff #3600 #3596) +#3604 := [rewrite]: #3603 +#3601 := (iff #3027 #3600) +#3598 := (iff #3024 #3597) +#3599 := [rewrite]: #3598 +#3602 := [monotonicity #3599]: #3601 +#3606 := [trans #3602 #3604]: #3605 +#3609 := [quant-intro #3606]: #3608 +#3612 := [monotonicity #3609]: #3611 +#3619 := [trans #3612 #3617]: #3618 +#3717 := [monotonicity #3619 #3714]: #3716 +#3593 := (iff #2444 #3592) +#3590 := (iff #2441 #3581) +#3582 := (not #3581) +#3585 := (not #3582) +#3588 := (iff #3585 #3581) +#3589 := [rewrite]: #3588 +#3586 := (iff #2441 #3585) +#3583 := (iff #1670 #3582) +#3584 := [rewrite]: #3583 +#3587 := [monotonicity #3584]: #3586 +#3591 := [trans #3587 #3589]: #3590 +#3594 := [quant-intro #3591]: #3593 +#3720 := [monotonicity #3594 #3717]: #3719 +#3728 := [trans #3720 #3726]: #3727 +#3579 := (iff #2980 #3576) +#3569 := (and #151 #588 #3362 #3380 #1649 #1657 #2413 #2416 #3566) +#3577 := (iff #3569 #3576) +#3578 := [rewrite]: #3577 +#3570 := (iff #2980 #3569) +#3567 := (iff #2974 #3566) +#3564 := (iff #2971 #3561) +#3556 := (and #1484 #3553) +#3562 := (iff #3556 #3561) +#3563 := [rewrite]: #3562 +#3557 := (iff #2971 #3556) +#3554 := (iff #2968 #3553) +#3551 := (iff #2965 #3548) +#3543 := (and #642 #3540) +#3549 := (iff #3543 #3548) +#3550 := [rewrite]: #3549 +#3544 := (iff #2965 #3543) +#3541 := (iff #2962 #3540) +#3538 := (iff #2959 #3535) +#3530 := (and #173 #3527) +#3536 := (iff #3530 #3535) +#3537 := [rewrite]: #3536 +#3531 := (iff #2959 #3530) +#3528 := (iff #2956 #3527) +#3525 := (iff #2953 #3522) +#3517 := (and #1498 #3514) +#3523 := (iff #3517 #3522) +#3524 := [rewrite]: #3523 +#3518 := (iff #2953 #3517) +#3515 := (iff #2950 #3514) +#3512 := (iff #2947 #3509) +#3503 := (and #3426 #3500) +#3510 := (iff #3503 #3509) +#3511 := [rewrite]: #3510 +#3504 := (iff #2947 #3503) +#3501 := (iff #2944 #3500) +#3498 := (iff #2939 #3495) +#3489 := (and #3471 #2319 #2896 #3486) +#3496 := (iff #3489 #3495) +#3497 := [rewrite]: #3496 +#3490 := (iff #2939 #3489) +#3487 := (iff #2930 #3486) +#3484 := (iff #2927 #3475) +#3476 := (not #3475) +#3479 := (not #3476) +#3482 := (iff #3479 #3475) +#3483 := [rewrite]: #3482 +#3480 := (iff #2927 #3479) +#3477 := (iff #2924 #3476) +#3478 := [rewrite]: #3477 +#3481 := [monotonicity #3478]: #3480 +#3485 := [trans #3481 #3483]: #3484 +#3488 := [quant-intro #3485]: #3487 +#3472 := (iff #1541 #3471) +#3469 := (iff #1538 #3466) +#3452 := (or #636 #1347) +#3463 := (or #3452 #1534) +#3467 := (iff #3463 #3466) +#3468 := [rewrite]: #3467 +#3464 := (iff #1538 #3463) +#3461 := (iff #1531 #3452) +#3453 := (not #3452) +#3456 := (not #3453) +#3459 := (iff #3456 #3452) +#3460 := [rewrite]: #3459 +#3457 := (iff #1531 #3456) +#3454 := (iff #1526 #3453) +#3455 := [rewrite]: #3454 +#3458 := [monotonicity #3455]: #3457 +#3462 := [trans #3458 #3460]: #3461 +#3465 := [monotonicity #3462]: #3464 +#3470 := [trans #3465 #3468]: #3469 +#3473 := [quant-intro #3470]: #3472 +#3491 := [monotonicity #3473 #3488]: #3490 +#3499 := [trans #3491 #3497]: #3498 +#3450 := (iff #2890 #3449) +#3447 := (iff #2887 #3444) +#3430 := (or #2286 #3429) +#3441 := (or #3430 #2882) +#3445 := (iff #3441 #3444) +#3446 := [rewrite]: #3445 +#3442 := (iff #2887 #3441) +#3439 := (iff #2869 #3430) +#3431 := (not #3430) +#3434 := (not #3431) +#3437 := (iff #3434 #3430) +#3438 := [rewrite]: #3437 +#3435 := (iff #2869 #3434) +#3432 := (iff #2866 #3431) +#3433 := [rewrite]: #3432 +#3436 := [monotonicity #3433]: #3435 +#3440 := [trans #3436 #3438]: #3439 +#3443 := [monotonicity #3440]: #3442 +#3448 := [trans #3443 #3446]: #3447 +#3451 := [monotonicity #3448]: #3450 +#3502 := [monotonicity #3451 #3499]: #3501 +#3427 := (iff #1517 #3426) +#3424 := (iff #1512 #3421) +#3407 := (or #630 #3406) +#3418 := (or #3407 #1504) +#3422 := (iff #3418 #3421) +#3423 := [rewrite]: #3422 +#3419 := (iff #1512 #3418) +#3416 := (iff #664 #3407) +#3408 := (not #3407) +#3411 := (not #3408) +#3414 := (iff #3411 #3407) +#3415 := [rewrite]: #3414 +#3412 := (iff #664 #3411) +#3409 := (iff #656 #3408) +#3410 := [rewrite]: #3409 +#3413 := [monotonicity #3410]: #3412 +#3417 := [trans #3413 #3415]: #3416 +#3420 := [monotonicity #3417]: #3419 +#3425 := [trans #3420 #3423]: #3424 +#3428 := [quant-intro #3425]: #3427 +#3505 := [monotonicity #3428 #3502]: #3504 +#3513 := [trans #3505 #3511]: #3512 +#3404 := (iff #2863 #3403) +#3401 := (iff #2860 #3398) +#3384 := (or #3383 #2257) +#3395 := (or #3384 #2855) +#3399 := (iff #3395 #3398) +#3400 := [rewrite]: #3399 +#3396 := (iff #2860 #3395) +#3393 := (iff #2844 #3384) +#3385 := (not #3384) +#3388 := (not #3385) +#3391 := (iff #3388 #3384) +#3392 := [rewrite]: #3391 +#3389 := (iff #2844 #3388) +#3386 := (iff #2841 #3385) +#3387 := [rewrite]: #3386 +#3390 := [monotonicity #3387]: #3389 +#3394 := [trans #3390 #3392]: #3393 +#3397 := [monotonicity #3394]: #3396 +#3402 := [trans #3397 #3400]: #3401 +#3405 := [monotonicity #3402]: #3404 +#3516 := [monotonicity #3405 #3513]: #3515 +#3519 := [monotonicity #3516]: #3518 +#3526 := [trans #3519 #3524]: #3525 +#3529 := [monotonicity #3526]: #3528 +#3532 := [monotonicity #3529]: #3531 +#3539 := [trans #3532 #3537]: #3538 +#3542 := [monotonicity #3539]: #3541 +#3545 := [monotonicity #3542]: #3544 +#3552 := [trans #3545 #3550]: #3551 +#3555 := [monotonicity #3552]: #3554 +#3558 := [monotonicity #3555]: #3557 +#3565 := [trans #3558 #3563]: #3564 +#3568 := [monotonicity #3565]: #3567 +#3381 := (iff #1631 #3380) +#3378 := (iff #1628 #3375) +#3372 := (or #3355 #1625) +#3376 := (iff #3372 #3375) +#3377 := [rewrite]: #3376 +#3373 := (iff #1628 #3372) +#3370 := (iff #1620 #3355) +#3365 := (not #3356) +#3368 := (iff #3365 #3355) +#3369 := [rewrite]: #3368 +#3366 := (iff #1620 #3365) +#3357 := (iff #1462 #3356) +#3358 := [rewrite]: #3357 +#3367 := [monotonicity #3358]: #3366 +#3371 := [trans #3367 #3369]: #3370 +#3374 := [monotonicity #3371]: #3373 +#3379 := [trans #3374 #3377]: #3378 +#3382 := [quant-intro #3379]: #3381 +#3363 := (iff #1473 #3362) +#3360 := (iff #1468 #3359) +#3361 := [monotonicity #3358]: #3360 +#3364 := [quant-intro #3361]: #3363 +#3571 := [monotonicity #3364 #3382 #3568]: #3570 +#3580 := [trans #3571 #3578]: #3579 +#3731 := [monotonicity #3580 #3728]: #3730 +#3353 := (iff #2804 #3352) +#3350 := (iff #2801 #3347) +#3327 := (or #68 #1406) +#3344 := (or #3327 #3341) +#3348 := (iff #3344 #3347) +#3349 := [rewrite]: #3348 +#3345 := (iff #2801 #3344) +#3342 := (iff #2798 #3341) +#3343 := [rewrite]: #3342 +#3336 := (iff #1413 #3327) +#3328 := (not #3327) +#3331 := (not #3328) +#3334 := (iff #3331 #3327) +#3335 := [rewrite]: #3334 +#3332 := (iff #1413 #3331) +#3329 := (iff #1410 #3328) +#3330 := [rewrite]: #3329 +#3333 := [monotonicity #3330]: #3332 +#3337 := [trans #3333 #3335]: #3336 +#3346 := [monotonicity #3337 #3343]: #3345 +#3351 := [trans #3346 #3349]: #3350 +#3354 := [quant-intro #3351]: #3353 +#3325 := (iff #2764 #3324) +#3322 := (iff #2759 #3319) +#3299 := (or #68 #1388) +#3316 := (or #3299 #3313) +#3320 := (iff #3316 #3319) +#3321 := [rewrite]: #3320 +#3317 := (iff #2759 #3316) +#3314 := (iff #2753 #3313) +#3315 := [rewrite]: #3314 +#3308 := (iff #1395 #3299) +#3300 := (not #3299) +#3303 := (not #3300) +#3306 := (iff #3303 #3299) +#3307 := [rewrite]: #3306 +#3304 := (iff #1395 #3303) +#3301 := (iff #1392 #3300) +#3302 := [rewrite]: #3301 +#3305 := [monotonicity #3302]: #3304 +#3309 := [trans #3305 #3307]: #3308 +#3318 := [monotonicity #3309 #3315]: #3317 +#3323 := [trans #3318 #3321]: #3322 +#3326 := [quant-intro #3323]: #3325 +#3297 := (iff #1837 #3296) +#3294 := (iff #1832 #3291) +#3277 := (or #3276 #505) +#3288 := (or #3277 #1416) +#3292 := (iff #3288 #3291) +#3293 := [rewrite]: #3292 +#3289 := (iff #1832 #3288) +#3286 := (iff #517 #3277) +#3278 := (not #3277) +#3281 := (not #3278) +#3284 := (iff #3281 #3277) +#3285 := [rewrite]: #3284 +#3282 := (iff #517 #3281) +#3279 := (iff #511 #3278) +#3280 := [rewrite]: #3279 +#3283 := [monotonicity #3280]: #3282 +#3287 := [trans #3283 #3285]: #3286 +#3290 := [monotonicity #3287]: #3289 +#3295 := [trans #3290 #3293]: #3294 +#3298 := [quant-intro #3295]: #3297 +#3274 := (iff #1821 #3273) +#3271 := (iff #1818 #3268) +#3254 := (or #508 #1347) +#3265 := (or #3254 #1815) +#3269 := (iff #3265 #3268) +#3270 := [rewrite]: #3269 +#3266 := (iff #1818 #3265) +#3263 := (iff #1812 #3254) +#3255 := (not #3254) +#3258 := (not #3255) +#3261 := (iff #3258 #3254) +#3262 := [rewrite]: #3261 +#3259 := (iff #1812 #3258) +#3256 := (iff #1807 #3255) +#3257 := [rewrite]: #3256 +#3260 := [monotonicity #3257]: #3259 +#3264 := [trans #3260 #3262]: #3263 +#3267 := [monotonicity #3264]: #3266 +#3272 := [trans #3267 #3270]: #3271 +#3275 := [quant-intro #3272]: #3274 +#3734 := [monotonicity #3275 #3298 #3326 #3354 #3731]: #3733 +#3745 := [trans #3734 #3743]: #3744 +#3252 := (iff #2715 #3249) +#3244 := (and #2086 #3241 #2691) +#3250 := (iff #3244 #3249) +#3251 := [rewrite]: #3250 +#3245 := (iff #2715 #3244) +#3242 := (iff #2685 #3241) +#3239 := (iff #2682 #3230) +#3231 := (not #3230) +#3234 := (not #3231) +#3237 := (iff #3234 #3230) +#3238 := [rewrite]: #3237 +#3235 := (iff #2682 #3234) +#3232 := (iff #2679 #3231) +#3233 := [rewrite]: #3232 +#3236 := [monotonicity #3233]: #3235 +#3240 := [trans #3236 #3238]: #3239 +#3243 := [quant-intro #3240]: #3242 +#3246 := [monotonicity #3243]: #3245 +#3253 := [trans #3246 #3251]: #3252 +#3748 := [monotonicity #3253 #3745]: #3747 +#3227 := (iff #1360 #3226) +#3224 := (iff #1357 #3221) +#3207 := (or #78 #1347) +#3218 := (or #1342 #3207) +#3222 := (iff #3218 #3221) +#3223 := [rewrite]: #3222 +#3219 := (iff #1357 #3218) +#3216 := (iff #1354 #3207) +#3208 := (not #3207) +#3211 := (not #3208) +#3214 := (iff #3211 #3207) +#3215 := [rewrite]: #3214 +#3212 := (iff #1354 #3211) +#3209 := (iff #1351 #3208) +#3210 := [rewrite]: #3209 +#3213 := [monotonicity #3210]: #3212 +#3217 := [trans #3213 #3215]: #3216 +#3220 := [monotonicity #3217]: #3219 +#3225 := [trans #3220 #3223]: #3224 +#3228 := [quant-intro #3225]: #3227 +#3751 := [monotonicity #3228 #3748]: #3750 +#3759 := [trans #3751 #3757]: #3758 +#3205 := (iff #2676 #3204) +#3202 := (iff #2673 #3199) +#3185 := (or #2057 #3184) +#3196 := (or #2664 #3185) +#3200 := (iff #3196 #3199) +#3201 := [rewrite]: #3200 +#3197 := (iff #2673 #3196) +#3194 := (iff #2670 #3185) +#3186 := (not #3185) +#3189 := (not #3186) +#3192 := (iff #3189 #3185) +#3193 := [rewrite]: #3192 +#3190 := (iff #2670 #3189) +#3187 := (iff #2667 #3186) +#3188 := [rewrite]: #3187 +#3191 := [monotonicity #3188]: #3190 +#3195 := [trans #3191 #3193]: #3194 +#3198 := [monotonicity #3195]: #3197 +#3203 := [trans #3198 #3201]: #3202 +#3206 := [monotonicity #3203]: #3205 +#3762 := [monotonicity #3206 #3759]: #3761 +#3182 := (iff #1334 #3181) +#3179 := (iff #1329 #3176) +#3162 := (or #77 #2632) +#3173 := (or #3162 #1322) +#3177 := (iff #3173 #3176) +#3178 := [rewrite]: #3177 +#3174 := (iff #1329 #3173) +#3171 := (iff #460 #3162) +#3163 := (not #3162) +#3166 := (not #3163) +#3169 := (iff #3166 #3162) +#3170 := [rewrite]: #3169 +#3167 := (iff #460 #3166) +#3164 := (iff #454 #3163) +#3165 := [rewrite]: #3164 +#3168 := [monotonicity #3165]: #3167 +#3172 := [trans #3168 #3170]: #3171 +#3175 := [monotonicity #3172]: #3174 +#3180 := [trans #3175 #3178]: #3179 +#3183 := [quant-intro #3180]: #3182 +#3765 := [monotonicity #3183 #3762]: #3764 +#3773 := [trans #3765 #3771]: #3772 +#2534 := (iff #2657 #2421) +#2199 := (iff #2654 #2166) +#2042 := (or #2266 #2034) +#2297 := (or #2042 #2649) +#2167 := (iff #2297 #2166) +#2198 := [rewrite]: #2167 +#2499 := (iff #2654 #2297) +#2138 := (iff #2638 #2042) +#1973 := (not #2042) +#2218 := (not #1973) +#2018 := (iff #2218 #2042) +#2137 := [rewrite]: #2018 +#2219 := (iff #2638 #2218) +#1974 := (iff #2635 #1973) +#2043 := [rewrite]: #1974 +#2017 := [monotonicity #2043]: #2219 +#2296 := [trans #2017 #2137]: #2138 +#2500 := [monotonicity #2296]: #2499 +#2420 := [trans #2500 #2198]: #2199 +#2535 := [monotonicity #2420]: #2534 +#3776 := [monotonicity #2535 #3773]: #3775 +#3779 := [monotonicity #3776]: #3778 +#3786 := [trans #3779 #3784]: #3785 +#3789 := [monotonicity #3786]: #3788 +#3792 := [monotonicity #3789]: #3791 +#3799 := [trans #3792 #3797]: #3798 +#3802 := [monotonicity #3799]: #3801 +#2513 := (* -1::int #2512) +#2515 := (+ #2514 #2513) +#2518 := (+ #2517 #2515) +#2519 := (>= #2518 0::int) +#2528 := (and #2527 #2523) +#2529 := (not #2528) +#2530 := (or #2529 #2519) +#2531 := (not #2530) +#2550 := (or #2531 #2546) +#2489 := (+ #2488 #1707) +#2492 := (+ #2491 #2489) +#2493 := (= #2492 0::int) +#2494 := (>= #2489 0::int) +#2495 := (not #2494) +#2496 := (and #2495 #2493) +#2501 := (or #1716 #2496) +#2504 := (forall (vars (?x64 T2)) #2501) +#2554 := (and #2504 #2550) +#2453 := (+ #2452 #2450) +#2454 := (= #2453 0::int) +#2457 := (and #2456 #2454) +#2473 := (not #2457) +#2476 := (forall (vars (?x65 T2)) #2473) +#2462 := (= ?x64!17 uf_11) +#2463 := (not #2462) +#2464 := (and #2463 #2461) +#2465 := (not #2464) +#2470 := (not #2465) +#2480 := (and #2470 #2476) +#2558 := (or #2480 #2554) +#2438 := (not #1053) +#2435 := (not #1071) +#2432 := (not #1044) +#2429 := (not #1062) +#2562 := (and #2429 #2432 #2435 #2438 #2444 #2558) +#2417 := (and #2416 #2413) +#2311 := (+ #2310 #2308) +#2312 := (= #2311 0::int) +#2315 := (and #630 #2314 #2312) +#2332 := (not #2315) +#2335 := (forall (vars (?x53 T2)) #2332) +#2320 := (= ?x52!15 uf_11) +#2321 := (not #2320) +#2322 := (and #2321 #2319) +#2323 := (not #2322) +#2329 := (not #2323) +#2339 := (and #2329 #2335) +#2344 := (and #1541 #2339) +#2277 := (* -1::int #2276) +#2279 := (+ #2278 #2277) +#2282 := (+ #2281 #2279) +#2283 := (>= #2282 0::int) +#2290 := (and #2289 #2287) +#2291 := (not #2290) +#2292 := (or #2291 #2283) +#2293 := (not #2292) +#2348 := (or #2293 #2344) +#2352 := (and #1517 #2348) +#2250 := (* -1::int #2249) +#2252 := (+ #2251 #2250) +#2253 := (>= #2252 0::int) +#2259 := (and #2258 #2255) +#2260 := (not #2259) +#2261 := (or #2260 #2253) +#2262 := (not #2261) +#2356 := (or #2262 #2352) +#2360 := (and #1498 #2356) +#2364 := (or #2235 #2360) +#2229 := (not #1492) +#2368 := (and #2229 #2364) +#2372 := (or #1492 #2368) +#2376 := (and #642 #2372) +#2213 := (= #2212 #2211) +#2214 := (or #2213 #2210) +#2215 := (not #2214) +#2380 := (or #2215 #2376) +#2384 := (and #1484 #2380) +#2191 := (* -1::int #2190) +#2193 := (+ #2192 #2191) +#2194 := (>= #2193 0::int) +#2195 := (not #2194) +#2388 := (or #2195 #2384) +#2177 := (not #876) +#2425 := (and #2177 #588 #1473 #2388 #1631 #1649 #1657 #2417) +#2566 := (or #2425 #2562) +#2154 := (+ #2153 #1404) +#2157 := (+ #2156 #2154) +#2158 := (= #2157 0::int) +#2159 := (>= #2154 0::int) +#2160 := (not #2159) +#2163 := (and #2162 #2160 #2158) +#2168 := (or #1413 #2163) +#2171 := (forall (vars (?x39 T2)) #2168) +#2126 := (+ #1386 #2125) +#2128 := (+ #2127 #2126) +#2129 := (= #2128 0::int) +#2130 := (+ #2127 #1386) +#2131 := (>= #2130 0::int) +#2132 := (not #2131) +#2134 := (and #2133 #2132 #2129) +#2141 := (or #2134 #1395) +#2144 := (forall (vars (?x32 T2)) #2141) +#2120 := (not #1854) +#2591 := (and #2120 #2144 #2171 #2566 #1821 #1837 #1846) +#2087 := (= ?x32!5 uf_11) +#2088 := (not #2087) +#2089 := (and #2088 #2086) +#2090 := (not #2089) +#2112 := (not #2090) +#2099 := (and #77 #2098 #2095) +#2105 := (not #2099) +#2108 := (forall (vars (?x33 T2)) #2105) +#2115 := (and #2108 #2112) +#2595 := (or #2115 #2591) +#2599 := (and #1360 #2595) +#2060 := (and #2059 #2058) +#2061 := (not #2060) +#2064 := (+ #2063 #2054) +#2066 := (+ #2065 #2064) +#2067 := (>= #2066 0::int) +#2068 := (or #2067 #2061) +#2069 := (not #2068) +#2603 := (or #2069 #2599) +#2607 := (and #1334 #2603) +#2029 := (* -1::int #2028) +#2031 := (+ #2030 #2029) +#2032 := (>= #2031 0::int) +#2036 := (and #2035 #2033) +#2037 := (not #2036) +#2038 := (or #2037 #2032) +#2039 := (not #2038) +#2611 := (or #2039 #2607) +#2615 := (and #1314 #2611) +#2619 := (or #2014 #2615) +#1969 := (not #1308) +#2623 := (and #1969 #2619) +#2627 := (or #1308 #2623) +#3160 := (iff #2627 #3159) +#3157 := (iff #2623 #3156) +#3154 := (iff #2619 #3153) +#3151 := (iff #2615 #3150) +#3148 := (iff #2611 #3147) +#3145 := (iff #2607 #3144) +#3142 := (iff #2603 #3141) +#3139 := (iff #2599 #3138) +#3136 := (iff #2595 #3135) +#3133 := (iff #2591 #3130) +#3127 := (and #109 #2764 #2804 #3124 #1821 #1837 #1846) +#3131 := (iff #3127 #3130) +#3132 := [rewrite]: #3131 +#3128 := (iff #2591 #3127) +#3125 := (iff #2566 #3124) +#3122 := (iff #2562 #3121) +#3119 := (iff #2558 #3118) +#3116 := (iff #2554 #3115) +#3113 := (iff #2550 #3110) +#3107 := (or #3104 #2546) +#3111 := (iff #3107 #3110) +#3112 := [rewrite]: #3111 +#3108 := (iff #2550 #3107) +#3105 := (iff #2531 #3104) +#3102 := (iff #2530 #3101) +#3099 := (iff #2519 #3096) +#3087 := (+ #2514 #2517) +#3088 := (+ #2513 #3087) +#3091 := (>= #3088 0::int) +#3097 := (iff #3091 #3096) +#3098 := [rewrite]: #3097 +#3092 := (iff #2519 #3091) +#3089 := (= #2518 #3088) +#3090 := [rewrite]: #3089 +#3093 := [monotonicity #3090]: #3092 +#3100 := [trans #3093 #3098]: #3099 +#3085 := (iff #2529 #3084) +#3082 := (iff #2528 #3081) +#3083 := [rewrite]: #3082 +#3086 := [monotonicity #3083]: #3085 +#3103 := [monotonicity #3086 #3100]: #3102 +#3106 := [monotonicity #3103]: #3105 +#3109 := [monotonicity #3106]: #3108 +#3114 := [trans #3109 #3112]: #3113 +#3079 := (iff #2504 #3078) +#3076 := (iff #2501 #3075) +#3073 := (iff #2496 #3072) +#3070 := (iff #2493 #3067) +#3057 := (+ #2488 #2491) +#3058 := (+ #1707 #3057) +#3061 := (= #3058 0::int) +#3068 := (iff #3061 #3067) +#3069 := [rewrite]: #3068 +#3062 := (iff #2493 #3061) +#3059 := (= #2492 #3058) +#3060 := [rewrite]: #3059 +#3063 := [monotonicity #3060]: #3062 +#3071 := [trans #3063 #3069]: #3070 +#3055 := (iff #2495 #3054) +#3052 := (iff #2494 #3049) +#3041 := (+ #1707 #2488) +#3044 := (>= #3041 0::int) +#3050 := (iff #3044 #3049) +#3051 := [rewrite]: #3050 +#3045 := (iff #2494 #3044) +#3042 := (= #2489 #3041) +#3043 := [rewrite]: #3042 +#3046 := [monotonicity #3043]: #3045 +#3053 := [trans #3046 #3051]: #3052 +#3056 := [monotonicity #3053]: #3055 +#3074 := [monotonicity #3056 #3071]: #3073 +#3077 := [monotonicity #3074]: #3076 +#3080 := [quant-intro #3077]: #3079 +#3117 := [monotonicity #3080 #3114]: #3116 +#3039 := (iff #2480 #3036) +#3002 := (and #2461 #2996) +#3033 := (and #3002 #3030) +#3037 := (iff #3033 #3036) +#3038 := [rewrite]: #3037 +#3034 := (iff #2480 #3033) +#3031 := (iff #2476 #3030) +#3028 := (iff #2473 #3027) +#3025 := (iff #2457 #3024) +#3022 := (iff #2454 #3021) +#3019 := (= #2453 #3018) +#3020 := [rewrite]: #3019 +#3023 := [monotonicity #3020]: #3022 +#3026 := [monotonicity #3023]: #3025 +#3029 := [monotonicity #3026]: #3028 +#3032 := [quant-intro #3029]: #3031 +#3015 := (iff #2470 #3002) +#3007 := (not #3002) +#3010 := (not #3007) +#3013 := (iff #3010 #3002) +#3014 := [rewrite]: #3013 +#3011 := (iff #2470 #3010) +#3008 := (iff #2465 #3007) +#3005 := (iff #2464 #3002) +#2999 := (and #2996 #2461) +#3003 := (iff #2999 #3002) +#3004 := [rewrite]: #3003 +#3000 := (iff #2464 #2999) +#2997 := (iff #2463 #2996) +#2994 := (iff #2462 #2993) +#2995 := [rewrite]: #2994 +#2998 := [monotonicity #2995]: #2997 +#3001 := [monotonicity #2998]: #3000 +#3006 := [trans #3001 #3004]: #3005 +#3009 := [monotonicity #3006]: #3008 +#3012 := [monotonicity #3009]: #3011 +#3016 := [trans #3012 #3014]: #3015 +#3035 := [monotonicity #3016 #3032]: #3034 +#3040 := [trans #3035 #3038]: #3039 +#3120 := [monotonicity #3040 #3117]: #3119 +#2991 := (iff #2438 #933) +#2992 := [rewrite]: #2991 +#2989 := (iff #2435 #930) +#2990 := [rewrite]: #2989 +#2987 := (iff #2432 #234) +#2988 := [rewrite]: #2987 +#2985 := (iff #2429 #229) +#2986 := [rewrite]: #2985 +#3123 := [monotonicity #2986 #2988 #2990 #2992 #3120]: #3122 +#2983 := (iff #2425 #2980) +#2977 := (and #151 #588 #1473 #2974 #1631 #1649 #1657 #2417) +#2981 := (iff #2977 #2980) +#2982 := [rewrite]: #2981 +#2978 := (iff #2425 #2977) +#2975 := (iff #2388 #2974) +#2972 := (iff #2384 #2971) +#2969 := (iff #2380 #2968) +#2966 := (iff #2376 #2965) +#2963 := (iff #2372 #2962) +#2960 := (iff #2368 #2959) +#2957 := (iff #2364 #2956) +#2954 := (iff #2360 #2953) +#2951 := (iff #2356 #2950) +#2948 := (iff #2352 #2947) +#2945 := (iff #2348 #2944) +#2942 := (iff #2344 #2939) +#2902 := (and #2319 #2896) +#2933 := (and #2902 #2930) +#2936 := (and #1541 #2933) +#2940 := (iff #2936 #2939) +#2941 := [rewrite]: #2940 +#2937 := (iff #2344 #2936) +#2934 := (iff #2339 #2933) +#2931 := (iff #2335 #2930) +#2928 := (iff #2332 #2927) +#2925 := (iff #2315 #2924) +#2922 := (iff #2312 #2921) +#2919 := (= #2311 #2918) +#2920 := [rewrite]: #2919 +#2923 := [monotonicity #2920]: #2922 +#2926 := [monotonicity #2923]: #2925 +#2929 := [monotonicity #2926]: #2928 +#2932 := [quant-intro #2929]: #2931 +#2915 := (iff #2329 #2902) +#2907 := (not #2902) +#2910 := (not #2907) +#2913 := (iff #2910 #2902) +#2914 := [rewrite]: #2913 +#2911 := (iff #2329 #2910) +#2908 := (iff #2323 #2907) +#2905 := (iff #2322 #2902) +#2899 := (and #2896 #2319) +#2903 := (iff #2899 #2902) +#2904 := [rewrite]: #2903 +#2900 := (iff #2322 #2899) +#2897 := (iff #2321 #2896) +#2894 := (iff #2320 #2893) +#2895 := [rewrite]: #2894 +#2898 := [monotonicity #2895]: #2897 +#2901 := [monotonicity #2898]: #2900 +#2906 := [trans #2901 #2904]: #2905 +#2909 := [monotonicity #2906]: #2908 +#2912 := [monotonicity #2909]: #2911 +#2916 := [trans #2912 #2914]: #2915 +#2935 := [monotonicity #2916 #2932]: #2934 +#2938 := [monotonicity #2935]: #2937 +#2943 := [trans #2938 #2941]: #2942 +#2891 := (iff #2293 #2890) +#2888 := (iff #2292 #2887) +#2885 := (iff #2283 #2882) +#2872 := (+ #2278 #2281) +#2873 := (+ #2277 #2872) +#2876 := (>= #2873 0::int) +#2883 := (iff #2876 #2882) +#2884 := [rewrite]: #2883 +#2877 := (iff #2283 #2876) +#2874 := (= #2282 #2873) +#2875 := [rewrite]: #2874 +#2878 := [monotonicity #2875]: #2877 +#2886 := [trans #2878 #2884]: #2885 +#2870 := (iff #2291 #2869) +#2867 := (iff #2290 #2866) +#2868 := [rewrite]: #2867 +#2871 := [monotonicity #2868]: #2870 +#2889 := [monotonicity #2871 #2886]: #2888 +#2892 := [monotonicity #2889]: #2891 +#2946 := [monotonicity #2892 #2943]: #2945 +#2949 := [monotonicity #2946]: #2948 +#2864 := (iff #2262 #2863) +#2861 := (iff #2261 #2860) +#2858 := (iff #2253 #2855) +#2847 := (+ #2250 #2251) +#2850 := (>= #2847 0::int) +#2856 := (iff #2850 #2855) +#2857 := [rewrite]: #2856 +#2851 := (iff #2253 #2850) +#2848 := (= #2252 #2847) +#2849 := [rewrite]: #2848 +#2852 := [monotonicity #2849]: #2851 +#2859 := [trans #2852 #2857]: #2858 +#2845 := (iff #2260 #2844) +#2842 := (iff #2259 #2841) +#2843 := [rewrite]: #2842 +#2846 := [monotonicity #2843]: #2845 +#2862 := [monotonicity #2846 #2859]: #2861 +#2865 := [monotonicity #2862]: #2864 +#2952 := [monotonicity #2865 #2949]: #2951 +#2955 := [monotonicity #2952]: #2954 +#2958 := [monotonicity #2955]: #2957 +#2839 := (iff #2229 #173) +#2840 := [rewrite]: #2839 +#2961 := [monotonicity #2840 #2958]: #2960 +#2964 := [monotonicity #2961]: #2963 +#2967 := [monotonicity #2964]: #2966 +#2837 := (iff #2215 #2836) +#2834 := (iff #2214 #2831) +#2828 := (or #2825 #2210) +#2832 := (iff #2828 #2831) +#2833 := [rewrite]: #2832 +#2829 := (iff #2214 #2828) +#2826 := (iff #2213 #2825) +#2827 := [rewrite]: #2826 +#2830 := [monotonicity #2827]: #2829 +#2835 := [trans #2830 #2833]: #2834 +#2838 := [monotonicity #2835]: #2837 +#2970 := [monotonicity #2838 #2967]: #2969 +#2973 := [monotonicity #2970]: #2972 +#2823 := (iff #2195 #2822) +#2820 := (iff #2194 #2817) +#2809 := (+ #2191 #2192) +#2812 := (>= #2809 0::int) +#2818 := (iff #2812 #2817) +#2819 := [rewrite]: #2818 +#2813 := (iff #2194 #2812) +#2810 := (= #2193 #2809) +#2811 := [rewrite]: #2810 +#2814 := [monotonicity #2811]: #2813 +#2821 := [trans #2814 #2819]: #2820 +#2824 := [monotonicity #2821]: #2823 +#2976 := [monotonicity #2824 #2973]: #2975 +#2807 := (iff #2177 #151) +#2808 := [rewrite]: #2807 +#2979 := [monotonicity #2808 #2976]: #2978 +#2984 := [trans #2979 #2982]: #2983 +#3126 := [monotonicity #2984 #3123]: #3125 +#2805 := (iff #2171 #2804) +#2802 := (iff #2168 #2801) +#2799 := (iff #2163 #2798) +#2796 := (iff #2158 #2793) +#2783 := (+ #2153 #2156) +#2784 := (+ #1404 #2783) +#2787 := (= #2784 0::int) +#2794 := (iff #2787 #2793) +#2795 := [rewrite]: #2794 +#2788 := (iff #2158 #2787) +#2785 := (= #2157 #2784) +#2786 := [rewrite]: #2785 +#2789 := [monotonicity #2786]: #2788 +#2797 := [trans #2789 #2795]: #2796 +#2781 := (iff #2160 #2780) +#2778 := (iff #2159 #2775) +#2767 := (+ #1404 #2153) +#2770 := (>= #2767 0::int) +#2776 := (iff #2770 #2775) +#2777 := [rewrite]: #2776 +#2771 := (iff #2159 #2770) +#2768 := (= #2154 #2767) +#2769 := [rewrite]: #2768 +#2772 := [monotonicity #2769]: #2771 +#2779 := [trans #2772 #2777]: #2778 +#2782 := [monotonicity #2779]: #2781 +#2800 := [monotonicity #2782 #2797]: #2799 +#2803 := [monotonicity #2800]: #2802 +#2806 := [quant-intro #2803]: #2805 +#2765 := (iff #2144 #2764) +#2762 := (iff #2141 #2759) +#2756 := (or #2753 #1395) +#2760 := (iff #2756 #2759) +#2761 := [rewrite]: #2760 +#2757 := (iff #2141 #2756) +#2754 := (iff #2134 #2753) +#2751 := (iff #2129 #2748) +#2738 := (+ #2125 #2127) +#2739 := (+ #1386 #2738) +#2742 := (= #2739 0::int) +#2749 := (iff #2742 #2748) +#2750 := [rewrite]: #2749 +#2743 := (iff #2129 #2742) +#2740 := (= #2128 #2739) +#2741 := [rewrite]: #2740 +#2744 := [monotonicity #2741]: #2743 +#2752 := [trans #2744 #2750]: #2751 +#2736 := (iff #2132 #2735) +#2733 := (iff #2131 #2730) +#2722 := (+ #1386 #2127) +#2725 := (>= #2722 0::int) +#2731 := (iff #2725 #2730) +#2732 := [rewrite]: #2731 +#2726 := (iff #2131 #2725) +#2723 := (= #2130 #2722) +#2724 := [rewrite]: #2723 +#2727 := [monotonicity #2724]: #2726 +#2734 := [trans #2727 #2732]: #2733 +#2737 := [monotonicity #2734]: #2736 +#2755 := [monotonicity #2737 #2752]: #2754 +#2758 := [monotonicity #2755]: #2757 +#2763 := [trans #2758 #2761]: #2762 +#2766 := [quant-intro #2763]: #2765 +#2720 := (iff #2120 #109) +#2721 := [rewrite]: #2720 +#3129 := [monotonicity #2721 #2766 #2806 #3126]: #3128 +#3134 := [trans #3129 #3132]: #3133 +#2718 := (iff #2115 #2715) +#2697 := (and #2086 #2691) +#2712 := (and #2685 #2697) +#2716 := (iff #2712 #2715) +#2717 := [rewrite]: #2716 +#2713 := (iff #2115 #2712) +#2710 := (iff #2112 #2697) +#2702 := (not #2697) +#2705 := (not #2702) +#2708 := (iff #2705 #2697) +#2709 := [rewrite]: #2708 +#2706 := (iff #2112 #2705) +#2703 := (iff #2090 #2702) +#2700 := (iff #2089 #2697) +#2694 := (and #2691 #2086) +#2698 := (iff #2694 #2697) +#2699 := [rewrite]: #2698 +#2695 := (iff #2089 #2694) +#2692 := (iff #2088 #2691) +#2689 := (iff #2087 #2688) +#2690 := [rewrite]: #2689 +#2693 := [monotonicity #2690]: #2692 +#2696 := [monotonicity #2693]: #2695 +#2701 := [trans #2696 #2699]: #2700 +#2704 := [monotonicity #2701]: #2703 +#2707 := [monotonicity #2704]: #2706 +#2711 := [trans #2707 #2709]: #2710 +#2686 := (iff #2108 #2685) +#2683 := (iff #2105 #2682) +#2680 := (iff #2099 #2679) +#2681 := [rewrite]: #2680 +#2684 := [monotonicity #2681]: #2683 +#2687 := [quant-intro #2684]: #2686 +#2714 := [monotonicity #2687 #2711]: #2713 +#2719 := [trans #2714 #2717]: #2718 +#3137 := [monotonicity #2719 #3134]: #3136 +#3140 := [monotonicity #3137]: #3139 +#2677 := (iff #2069 #2676) +#2674 := (iff #2068 #2673) +#2671 := (iff #2061 #2670) +#2668 := (iff #2060 #2667) +#2669 := [rewrite]: #2668 +#2672 := [monotonicity #2669]: #2671 +#2665 := (iff #2067 #2664) +#2662 := (= #2066 #2661) +#2663 := [rewrite]: #2662 +#2666 := [monotonicity #2663]: #2665 +#2675 := [monotonicity #2666 #2672]: #2674 +#2678 := [monotonicity #2675]: #2677 +#3143 := [monotonicity #2678 #3140]: #3142 +#3146 := [monotonicity #3143]: #3145 +#2658 := (iff #2039 #2657) +#2655 := (iff #2038 #2654) +#2652 := (iff #2032 #2649) +#2641 := (+ #2029 #2030) +#2644 := (>= #2641 0::int) +#2650 := (iff #2644 #2649) +#2651 := [rewrite]: #2650 +#2645 := (iff #2032 #2644) +#2642 := (= #2031 #2641) +#2643 := [rewrite]: #2642 +#2646 := [monotonicity #2643]: #2645 +#2653 := [trans #2646 #2651]: #2652 +#2639 := (iff #2037 #2638) +#2636 := (iff #2036 #2635) +#2637 := [rewrite]: #2636 +#2640 := [monotonicity #2637]: #2639 +#2656 := [monotonicity #2640 #2653]: #2655 +#2659 := [monotonicity #2656]: #2658 +#3149 := [monotonicity #2659 #3146]: #3148 +#3152 := [monotonicity #3149]: #3151 +#3155 := [monotonicity #3152]: #3154 +#2633 := (iff #1969 #81) +#2634 := [rewrite]: #2633 +#3158 := [monotonicity #2634 #3155]: #3157 +#3161 := [monotonicity #3158]: #3160 +#1943 := (not #1907) +#2628 := (~ #1943 #2627) +#2624 := (not #1904) +#2625 := (~ #2624 #2623) +#2620 := (not #1901) +#2621 := (~ #2620 #2619) +#2616 := (not #1898) +#2617 := (~ #2616 #2615) +#2612 := (not #1895) +#2613 := (~ #2612 #2611) +#2608 := (not #1892) +#2609 := (~ #2608 #2607) +#2604 := (not #1889) +#2605 := (~ #2604 #2603) +#2600 := (not #1886) +#2601 := (~ #2600 #2599) +#2596 := (not #1883) +#2597 := (~ #2596 #2595) +#2592 := (not #1878) +#2593 := (~ #2592 #2591) +#2588 := (not #1849) +#2589 := (~ #2588 #1846) +#2586 := (~ #1846 #1846) +#2584 := (~ #1843 #1843) +#2585 := [refl]: #2584 +#2587 := [nnf-pos #2585]: #2586 +#2590 := [nnf-neg #2587]: #2589 +#2581 := (not #1840) +#2582 := (~ #2581 #1837) +#2579 := (~ #1837 #1837) +#2577 := (~ #1832 #1832) +#2578 := [refl]: #2577 +#2580 := [nnf-pos #2578]: #2579 +#2583 := [nnf-neg #2580]: #2582 +#2574 := (not #1824) +#2575 := (~ #2574 #1821) +#2572 := (~ #1821 #1821) +#2570 := (~ #1818 #1818) +#2571 := [refl]: #2570 +#2573 := [nnf-pos #2571]: #2572 +#2576 := [nnf-neg #2573]: #2575 +#2567 := (not #1801) +#2568 := (~ #2567 #2566) +#2563 := (not #1796) +#2564 := (~ #2563 #2562) +#2559 := (not #1778) +#2560 := (~ #2559 #2558) +#2555 := (not #1775) +#2556 := (~ #2555 #2554) +#2551 := (not #1772) +#2552 := (~ #2551 #2550) +#2547 := (not #1767) +#2548 := (~ #2547 #2546) +#2543 := (not #1759) +#2544 := (~ #2543 #1756) +#2541 := (~ #1756 #1756) +#2539 := (~ #1753 #1753) +#2540 := [refl]: #2539 +#2542 := [nnf-pos #2540]: #2541 +#2545 := [nnf-neg #2542]: #2544 +#2537 := (~ #2536 #2536) +#2538 := [refl]: #2537 +#2549 := [nnf-neg #2538 #2545]: #2548 +#2532 := (~ #1759 #2531) +#2533 := [sk]: #2532 +#2553 := [nnf-neg #2533 #2549]: #2552 +#2507 := (not #1741) +#2508 := (~ #2507 #2504) +#2505 := (~ #1738 #2504) +#2502 := (~ #1735 #2501) +#2497 := (~ #1732 #2496) +#2498 := [sk]: #2497 +#2485 := (~ #1716 #1716) +#2486 := [refl]: #2485 +#2503 := [monotonicity #2486 #2498]: #2502 +#2506 := [nnf-pos #2503]: #2505 +#2509 := [nnf-neg #2506]: #2508 +#2557 := [nnf-neg #2509 #2553]: #2556 +#2483 := (~ #1741 #2480) +#2458 := (exists (vars (?x65 T2)) #2457) +#2466 := (or #2465 #2458) +#2467 := (not #2466) +#2481 := (~ #2467 #2480) +#2477 := (not #2458) +#2478 := (~ #2477 #2476) +#2474 := (~ #2473 #2473) +#2475 := [refl]: #2474 +#2479 := [nnf-neg #2475]: #2478 +#2471 := (~ #2470 #2470) +#2472 := [refl]: #2471 +#2482 := [nnf-neg #2472 #2479]: #2481 +#2468 := (~ #1741 #2467) +#2469 := [sk]: #2468 +#2484 := [trans #2469 #2482]: #2483 +#2561 := [nnf-neg #2484 #2557]: #2560 +#2445 := (~ #1678 #2444) +#2442 := (~ #2441 #2441) +#2443 := [refl]: #2442 +#2446 := [nnf-neg #2443]: #2445 +#2439 := (~ #2438 #2438) +#2440 := [refl]: #2439 +#2436 := (~ #2435 #2435) +#2437 := [refl]: #2436 +#2433 := (~ #2432 #2432) +#2434 := [refl]: #2433 +#2430 := (~ #2429 #2429) +#2431 := [refl]: #2430 +#2565 := [nnf-neg #2431 #2434 #2437 #2440 #2446 #2561]: #2564 +#2426 := (not #1702) +#2427 := (~ #2426 #2425) +#2422 := (not #1678) +#2423 := (~ #2422 #2417) +#2418 := (~ #1675 #2417) +#2419 := [sk]: #2418 +#2424 := [nnf-neg #2419]: #2423 +#2406 := (~ #1657 #1657) +#2407 := [refl]: #2406 +#2403 := (not #1652) +#2404 := (~ #2403 #1649) +#2401 := (~ #1649 #1649) +#2399 := (~ #1644 #1644) +#2400 := [refl]: #2399 +#2402 := [nnf-pos #2400]: #2401 +#2405 := [nnf-neg #2402]: #2404 +#2396 := (not #1634) +#2397 := (~ #2396 #1631) +#2394 := (~ #1631 #1631) +#2392 := (~ #1628 #1628) +#2393 := [refl]: #2392 +#2395 := [nnf-pos #2393]: #2394 +#2398 := [nnf-neg #2395]: #2397 +#2389 := (not #1617) +#2390 := (~ #2389 #2388) +#2385 := (not #1614) +#2386 := (~ #2385 #2384) +#2381 := (not #1611) +#2382 := (~ #2381 #2380) +#2377 := (not #1608) +#2378 := (~ #2377 #2376) +#2373 := (not #1605) +#2374 := (~ #2373 #2372) +#2369 := (not #1602) +#2370 := (~ #2369 #2368) +#2365 := (not #1599) +#2366 := (~ #2365 #2364) +#2361 := (not #1596) +#2362 := (~ #2361 #2360) +#2357 := (not #1593) +#2358 := (~ #2357 #2356) +#2353 := (not #1590) +#2354 := (~ #2353 #2352) +#2349 := (not #1587) +#2350 := (~ #2349 #2348) +#2345 := (not #1584) +#2346 := (~ #2345 #2344) +#2326 := (not #1581) +#2342 := (~ #2326 #2339) +#2316 := (exists (vars (?x53 T2)) #2315) +#2324 := (or #2323 #2316) +#2325 := (not #2324) +#2340 := (~ #2325 #2339) +#2336 := (not #2316) +#2337 := (~ #2336 #2335) +#2333 := (~ #2332 #2332) +#2334 := [refl]: #2333 +#2338 := [nnf-neg #2334]: #2337 +#2330 := (~ #2329 #2329) +#2331 := [refl]: #2330 +#2341 := [nnf-neg #2331 #2338]: #2340 +#2327 := (~ #2326 #2325) +#2328 := [sk]: #2327 +#2343 := [trans #2328 #2341]: #2342 +#2302 := (not #1544) +#2303 := (~ #2302 #1541) +#2300 := (~ #1541 #1541) +#2298 := (~ #1538 #1538) +#2299 := [refl]: #2298 +#2301 := [nnf-pos #2299]: #2300 +#2304 := [nnf-neg #2301]: #2303 +#2347 := [nnf-neg #2304 #2343]: #2346 +#2294 := (~ #1544 #2293) +#2295 := [sk]: #2294 +#2351 := [nnf-neg #2295 #2347]: #2350 +#2271 := (not #1520) +#2272 := (~ #2271 #1517) +#2269 := (~ #1517 #1517) +#2267 := (~ #1512 #1512) +#2268 := [refl]: #2267 +#2270 := [nnf-pos #2268]: #2269 +#2273 := [nnf-neg #2270]: #2272 +#2355 := [nnf-neg #2273 #2351]: #2354 +#2263 := (~ #1520 #2262) +#2264 := [sk]: #2263 +#2359 := [nnf-neg #2264 #2355]: #2358 +#2244 := (not #1501) +#2245 := (~ #2244 #1498) +#2242 := (~ #1498 #1498) +#2240 := (~ #1495 #1495) +#2241 := [refl]: #2240 +#2243 := [nnf-pos #2241]: #2242 +#2246 := [nnf-neg #2243]: #2245 +#2363 := [nnf-neg #2246 #2359]: #2362 +#2236 := (~ #1501 #2235) +#2237 := [sk]: #2236 +#2367 := [nnf-neg #2237 #2363]: #2366 +#2230 := (~ #2229 #2229) +#2231 := [refl]: #2230 +#2371 := [nnf-neg #2231 #2367]: #2370 +#2227 := (~ #1492 #1492) +#2228 := [refl]: #2227 +#2375 := [nnf-neg #2228 #2371]: #2374 +#2224 := (not #824) +#2225 := (~ #2224 #642) +#2222 := (~ #642 #642) +#2220 := (~ #637 #637) +#2221 := [refl]: #2220 +#2223 := [nnf-pos #2221]: #2222 +#2226 := [nnf-neg #2223]: #2225 +#2379 := [nnf-neg #2226 #2375]: #2378 +#2216 := (~ #824 #2215) +#2217 := [sk]: #2216 +#2383 := [nnf-neg #2217 #2379]: #2382 +#2204 := (not #1487) +#2205 := (~ #2204 #1484) +#2202 := (~ #1484 #1484) +#2200 := (~ #1479 #1479) +#2201 := [refl]: #2200 +#2203 := [nnf-pos #2201]: #2202 +#2206 := [nnf-neg #2203]: #2205 +#2387 := [nnf-neg #2206 #2383]: #2386 +#2196 := (~ #1487 #2195) +#2197 := [sk]: #2196 +#2391 := [nnf-neg #2197 #2387]: #2390 +#2186 := (not #1476) +#2187 := (~ #2186 #1473) +#2184 := (~ #1473 #1473) +#2182 := (~ #1468 #1468) +#2183 := [refl]: #2182 +#2185 := [nnf-pos #2183]: #2184 +#2188 := [nnf-neg #2185]: #2187 +#2180 := (~ #588 #588) +#2181 := [refl]: #2180 +#2178 := (~ #2177 #2177) +#2179 := [refl]: #2178 +#2428 := [nnf-neg #2179 #2181 #2188 #2391 #2398 #2405 #2407 #2424]: #2427 +#2569 := [nnf-neg #2428 #2565]: #2568 +#2174 := (not #1446) +#2175 := (~ #2174 #2171) +#2172 := (~ #1443 #2171) +#2169 := (~ #1440 #2168) +#2164 := (~ #1437 #2163) +#2165 := [sk]: #2164 +#2150 := (~ #1413 #1413) +#2151 := [refl]: #2150 +#2170 := [monotonicity #2151 #2165]: #2169 +#2173 := [nnf-pos #2170]: #2172 +#2176 := [nnf-neg #2173]: #2175 +#2147 := (not #1857) +#2148 := (~ #2147 #2144) +#2145 := (~ #1401 #2144) +#2142 := (~ #1398 #2141) +#2139 := (~ #1395 #1395) +#2140 := [refl]: #2139 +#2135 := (~ #1383 #2134) +#2136 := [sk]: #2135 +#2143 := [monotonicity #2136 #2140]: #2142 +#2146 := [nnf-pos #2143]: #2145 +#2149 := [nnf-neg #2146]: #2148 +#2121 := (~ #2120 #2120) +#2122 := [refl]: #2121 +#2594 := [nnf-neg #2122 #2149 #2176 #2569 #2576 #2583 #2590]: #2593 +#2118 := (~ #1857 #2115) +#2100 := (exists (vars (?x33 T2)) #2099) +#2101 := (or #2100 #2090) +#2102 := (not #2101) +#2116 := (~ #2102 #2115) +#2113 := (~ #2112 #2112) +#2114 := [refl]: #2113 +#2109 := (not #2100) +#2110 := (~ #2109 #2108) +#2106 := (~ #2105 #2105) +#2107 := [refl]: #2106 +#2111 := [nnf-neg #2107]: #2110 +#2117 := [nnf-neg #2111 #2114]: #2116 +#2103 := (~ #1857 #2102) +#2104 := [sk]: #2103 +#2119 := [trans #2104 #2117]: #2118 +#2598 := [nnf-neg #2119 #2594]: #2597 +#2078 := (not #1363) +#2079 := (~ #2078 #1360) +#2076 := (~ #1360 #1360) +#2074 := (~ #1357 #1357) +#2075 := [refl]: #2074 +#2077 := [nnf-pos #2075]: #2076 +#2080 := [nnf-neg #2077]: #2079 +#2602 := [nnf-neg #2080 #2598]: #2601 +#2070 := (~ #1363 #2069) +#2071 := [sk]: #2070 +#2606 := [nnf-neg #2071 #2602]: #2605 +#2048 := (not #1337) +#2049 := (~ #2048 #1334) +#2046 := (~ #1334 #1334) +#2044 := (~ #1329 #1329) +#2045 := [refl]: #2044 +#2047 := [nnf-pos #2045]: #2046 +#2050 := [nnf-neg #2047]: #2049 +#2610 := [nnf-neg #2050 #2606]: #2609 +#2040 := (~ #1337 #2039) +#2041 := [sk]: #2040 +#2614 := [nnf-neg #2041 #2610]: #2613 +#2023 := (not #1317) +#2024 := (~ #2023 #1314) +#2021 := (~ #1314 #1314) +#2019 := (~ #1313 #1313) +#2020 := [refl]: #2019 +#2022 := [nnf-pos #2020]: #2021 +#2025 := [nnf-neg #2022]: #2024 +#2618 := [nnf-neg #2025 #2614]: #2617 +#2015 := (~ #1317 #2014) +#2016 := [sk]: #2015 +#2622 := [nnf-neg #2016 #2618]: #2621 +#1970 := (~ #1969 #1969) +#2010 := [refl]: #1970 +#2626 := [nnf-neg #2010 #2622]: #2625 +#2008 := (~ #1308 #1308) +#2009 := [refl]: #2008 +#2629 := [nnf-neg #2009 #2626]: #2628 +#1944 := [not-or-elim #1940]: #1943 +#2630 := [mp~ #1944 #2629]: #2627 +#2631 := [mp #2630 #3161]: #3159 +#3803 := [mp #2631 #3802]: #3800 +#4734 := [mp #3803 #4733]: #4731 +#7295 := [unit-resolution #4734 #5487]: #4728 +#4058 := (or #4725 #4719) +#4059 := [def-axiom]: #4058 +#7296 := [unit-resolution #4059 #7295]: #4719 +#373 := (<= uf_9 0::int) +#374 := (not #373) +#57 := (< 0::int uf_9) +#375 := (iff #57 #374) +#376 := [rewrite]: #375 +#369 := [asserted]: #57 +#377 := [mp #369 #376]: #374 +#5901 := (* -1::int #2012) +#5891 := (+ uf_9 #5901) +#5892 := (<= #5891 0::int) +#5472 := (= uf_9 #2012) +#5745 := (= uf_11 ?x27!0) +#5918 := (not #5745) +#5916 := (= #2012 0::int) +#5836 := (not #5916) +#5835 := [hypothesis]: #2014 +#5837 := (or #5836 #2013) +#5896 := [th-lemma]: #5837 +#5922 := [unit-resolution #5896 #5835]: #5836 +#5981 := (or #5347 #5918 #5916) +#5477 := (= ?x27!0 uf_11) +#5917 := (not #5477) +#5890 := (or #5917 #5916) +#5982 := (or #5347 #5890) +#5987 := (iff #5982 #5981) +#5915 := (or #5918 #5916) +#5984 := (or #5347 #5915) +#5985 := (iff #5984 #5981) +#5986 := [rewrite]: #5985 +#6000 := (iff #5982 #5984) +#5921 := (iff #5890 #5915) +#5919 := (iff #5917 #5918) +#5743 := (iff #5477 #5745) +#5746 := [rewrite]: #5743 +#5920 := [monotonicity #5746]: #5919 +#5980 := [monotonicity #5920]: #5921 +#5979 := [monotonicity #5980]: #6000 +#5988 := [trans #5979 #5986]: #5987 +#5983 := [quant-inst]: #5982 +#6010 := [mp #5983 #5988]: #5981 +#5923 := [unit-resolution #6010 #4740 #5922]: #5918 +#5748 := (or #5472 #5745) +#4356 := (forall (vars (?x25 T2)) (:pat #4355) #443) +#4359 := (iff #448 #4356) +#4357 := (iff #443 #443) +#4358 := [refl]: #4357 +#4360 := [quant-intro #4358]: #4359 +#1967 := (~ #448 #448) +#2005 := (~ #443 #443) +#2006 := [refl]: #2005 +#1968 := [nnf-pos #2006]: #1967 +#1942 := [not-or-elim #1940]: #448 +#2007 := [mp~ #1942 #1968]: #448 +#4361 := [mp #2007 #4360]: #4356 +#5821 := (not #4356) +#5827 := (or #5821 #5472 #5745) +#5737 := (or #5477 #5472) +#5828 := (or #5821 #5737) +#5894 := (iff #5828 #5827) +#5830 := (or #5821 #5748) +#5846 := (iff #5830 #5827) +#5847 := [rewrite]: #5846 +#5826 := (iff #5828 #5830) +#5756 := (iff #5737 #5748) +#5736 := (or #5745 #5472) +#5752 := (iff #5736 #5748) +#5753 := [rewrite]: #5752 +#5747 := (iff #5737 #5736) +#5744 := [monotonicity #5746]: #5747 +#5834 := [trans #5744 #5753]: #5756 +#5831 := [monotonicity #5834]: #5826 +#5895 := [trans #5831 #5847]: #5894 +#5829 := [quant-inst]: #5828 +#5900 := [mp #5829 #5895]: #5827 +#5924 := [unit-resolution #5900 #4361]: #5748 +#5989 := [unit-resolution #5924 #5923]: #5472 +#6012 := (not #5472) +#6013 := (or #6012 #5892) +#6014 := [th-lemma]: #6013 +#6042 := [unit-resolution #6014 #5989]: #5892 +#6011 := (<= #2012 0::int) +#6043 := (or #6011 #2013) +#6044 := [th-lemma]: #6043 +#6045 := [unit-resolution #6044 #5835]: #6011 +#6046 := [th-lemma #6045 #6042 #377]: false +#6041 := [lemma #6046]: #2013 +#4053 := (or #4722 #2014 #4716) +#4054 := [def-axiom]: #4053 +#7297 := [unit-resolution #4054 #6041 #7296]: #4716 +#4077 := (or #4713 #4707) +#4078 := [def-axiom]: #4077 +#7298 := [unit-resolution #4078 #7297]: #4707 +#4071 := (or #4710 #2421 #4704) +#4073 := [def-axiom]: #4071 +#7299 := [unit-resolution #4073 #7298 #7294]: #4704 +#4098 := (or #4701 #4695) +#4099 := [def-axiom]: #4098 +#7300 := [unit-resolution #4099 #7299]: #4695 +#6817 := [hypothesis]: #2059 +#6051 := (or #5709 #3184) +#6081 := [quant-inst]: #6051 +#6818 := [unit-resolution #6081 #4354 #6817]: false +#6839 := [lemma #6818]: #3184 +#3960 := (or #3199 #2059) +#3964 := [def-axiom]: #3960 +#7301 := [unit-resolution #3964 #6839]: #3199 +#4094 := (or #4698 #3204 #4692) +#4095 := [def-axiom]: #4094 +#7302 := [unit-resolution #4095 #7301 #7300]: #4692 +#4108 := (or #4689 #4683) +#4129 := [def-axiom]: #4108 +#7303 := [unit-resolution #4129 #7302]: #4683 +#6633 := (= uf_9 #2082) +#6706 := (not #6633) +#6684 := [hypothesis]: #4400 +#4274 := (or #4397 #2086) +#3948 := [def-axiom]: #4274 +#6685 := [unit-resolution #3948 #6684]: #2086 +#6798 := (or #6706 #2085) +#6840 := [th-lemma]: #6798 +#6835 := [unit-resolution #6840 #6685]: #6706 +#3949 := (or #4397 #2691) +#4281 := [def-axiom]: #3949 +#6841 := [unit-resolution #4281 #6684]: #2691 +#6695 := (or #5821 #2688 #6633) +#6680 := (or #2087 #6633) +#6696 := (or #5821 #6680) +#6732 := (iff #6696 #6695) +#6548 := (or #2688 #6633) +#6694 := (or #5821 #6548) +#6699 := (iff #6694 #6695) +#6705 := [rewrite]: #6699 +#6697 := (iff #6696 #6694) +#6608 := (iff #6680 #6548) +#6665 := [monotonicity #2690]: #6608 +#6698 := [monotonicity #6665]: #6697 +#6728 := [trans #6698 #6705]: #6732 +#6547 := [quant-inst]: #6696 +#6734 := [mp #6547 #6728]: #6695 +#6842 := [unit-resolution #6734 #4361 #6841 #6835]: false +#6843 := [lemma #6842]: #4397 +#4116 := (or #4686 #4400 #4680) +#4117 := [def-axiom]: #4116 +#7304 := [unit-resolution #4117 #6843 #7303]: #4680 +#4149 := (or #4677 #4404) +#4145 := [def-axiom]: #4149 +#7305 := [unit-resolution #4145 #7304]: #4404 +#24124 := (or #4409 #20405) +#25438 := [quant-inst]: #24124 +#29563 := [unit-resolution #25438 #7305]: #20405 +#15997 := (* -1::int #15996) +#15993 := (uf_1 #15992 ?x52!15) +#15994 := (uf_10 #15993) +#15995 := (* -1::int #15994) +#16012 := (+ #15995 #15997) +#15362 := (uf_4 uf_14 ?x52!15) +#16013 := (+ #15362 #16012) +#22006 := (>= #16013 0::int) +#16016 := (= #16013 0::int) +#16019 := (not #16016) +#16004 := (uf_6 uf_15 #15992) +#16005 := (= uf_8 #16004) +#16006 := (not #16005) +#16002 := (+ #15362 #15997) +#16003 := (<= #16002 0::int) +#16025 := (or #16003 #16006 #16019) +#16030 := (not #16025) +#15397 := (* -1::int #15362) +#16009 := (+ uf_9 #15397) +#16010 := (<= #16009 0::int) +#34324 := (not #16010) +#15398 := (+ #2306 #15397) +#14218 := (>= #15398 0::int) +#15367 := (= #2306 #15362) +decl uf_3 :: (-> T1 T2) +#20604 := (uf_3 #15993) +#32578 := (uf_6 uf_15 #20604) +#32576 := (= uf_8 #32578) +#5319 := (uf_6 #150 uf_16) +#5314 := (= uf_8 #5319) +decl uf_2 :: (-> T1 T2) +#6008 := (uf_1 uf_16 uf_11) +#7128 := (uf_2 #6008) +#32602 := (= #7128 #20604) +#32591 := (ite #32602 #5314 #32576) +#7203 := (uf_7 uf_15 #7128 #5319) +#32554 := (uf_6 #7203 #20604) +#32538 := (= uf_8 #32554) +#32564 := (iff #32538 #32591) +#30 := (:var 1 T5) +#20 := (:var 2 T2) +#29 := (:var 3 T4) +#31 := (uf_7 #29 #20 #30) +#32 := (uf_6 #31 #11) +#4314 := (pattern #32) +#36 := (uf_6 #29 #11) +#335 := (= uf_8 #36) +#35 := (= #30 uf_8) +#24 := (= #11 #20) +#338 := (ite #24 #35 #335) +#34 := (= #32 uf_8) +#341 := (iff #34 #338) +#4315 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4314) #341) +#344 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #341) +#4318 := (iff #344 #4315) +#4316 := (iff #341 #341) +#4317 := [refl]: #4316 +#4319 := [quant-intro #4317]: #4318 +#1953 := (~ #344 #344) +#1989 := (~ #341 #341) +#1990 := [refl]: #1989 +#1954 := [nnf-pos #1990]: #1953 +#37 := (= #36 uf_8) +#38 := (ite #24 #35 #37) +#39 := (iff #34 #38) +#40 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #39) +#345 := (iff #40 #344) +#342 := (iff #39 #341) +#339 := (iff #38 #338) +#336 := (iff #37 #335) +#337 := [rewrite]: #336 +#340 := [monotonicity #337]: #339 +#343 := [monotonicity #340]: #342 +#346 := [quant-intro #343]: #345 +#333 := [asserted]: #40 +#349 := [mp #333 #346]: #344 +#1991 := [mp~ #349 #1954]: #344 +#4320 := [mp #1991 #4319]: #4315 +#7026 := (not #4315) +#32561 := (or #7026 #32564) +#6089 := (= #5319 uf_8) +#32580 := (= #20604 #7128) +#32553 := (ite #32580 #6089 #32576) +#32556 := (= #32554 uf_8) +#32579 := (iff #32556 #32553) +#32603 := (or #7026 #32579) +#32548 := (iff #32603 #32561) +#32606 := (iff #32561 #32561) +#32631 := [rewrite]: #32606 +#32629 := (iff #32579 #32564) +#32535 := (iff #32553 #32591) +#6101 := (iff #6089 #5314) +#6102 := [rewrite]: #6101 +#32601 := (iff #32580 #32602) +#32563 := [rewrite]: #32601 +#32560 := [monotonicity #32563 #6102]: #32535 +#32537 := (iff #32556 #32538) +#32557 := [rewrite]: #32537 +#32565 := [monotonicity #32557 #32560]: #32629 +#32587 := [monotonicity #32565]: #32548 +#32604 := [trans #32587 #32631]: #32548 +#32558 := [quant-inst]: #32603 +#32623 := [mp #32558 #32604]: #32561 +#32954 := [unit-resolution #32623 #4320]: #32564 +#30313 := (not #32538) +#8488 := (uf_6 uf_17 ?x52!15) +#9319 := (= uf_8 #8488) +#9846 := (not #9319) +#32968 := (iff #9846 #30313) +#32955 := (iff #9319 #32538) +#32985 := (iff #32538 #9319) +#32980 := (= #32554 #8488) +#32983 := (= #20604 ?x52!15) +#20605 := (= ?x52!15 #20604) +#12 := (uf_1 #10 #11) +#4294 := (pattern #12) +#13 := (uf_3 #12) +#317 := (= #11 #13) +#4295 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #4294) #317) +#321 := (forall (vars (?x2 T2) (?x3 T2)) #317) +#4298 := (iff #321 #4295) +#4296 := (iff #317 #317) +#4297 := [refl]: #4296 +#4299 := [quant-intro #4297]: #4298 +#1948 := (~ #321 #321) +#1980 := (~ #317 #317) +#1981 := [refl]: #1980 +#1946 := [nnf-pos #1981]: #1948 +#14 := (= #13 #11) +#15 := (forall (vars (?x2 T2) (?x3 T2)) #14) +#322 := (iff #15 #321) +#319 := (iff #14 #317) +#320 := [rewrite]: #319 +#323 := [quant-intro #320]: #322 +#316 := [asserted]: #15 +#326 := [mp #316 #323]: #321 +#1982 := [mp~ #326 #1946]: #321 +#4300 := [mp #1982 #4299]: #4295 +#5378 := (not #4295) +#27981 := (or #5378 #20605) +#27945 := [quant-inst]: #27981 +#32953 := [unit-resolution #27945 #4300]: #20605 +#32984 := [symm #32953]: #32983 +#8596 := (= #7203 uf_17) +#8594 := (= #150 uf_17) +#4147 := (or #4677 #109) +#4148 := [def-axiom]: #4147 +#7307 := [unit-resolution #4148 #7304]: #109 +#4150 := (or #4677 #4412) +#4130 := [def-axiom]: #4150 +#8027 := [unit-resolution #4130 #7304]: #4412 +#4137 := (or #4677 #4437) +#4132 := [def-axiom]: #4137 +#8030 := [unit-resolution #4132 #7304]: #4437 +#5284 := (or #4665 #4442 #4417 #1854) +#4776 := (uf_4 uf_14 ?x64!17) +#4777 := (* -1::int #4776) +#4778 := (+ uf_9 #4777) +#4779 := (<= #4778 0::int) +#4845 := (?x40!7 ?x64!17) +#4941 := (uf_6 uf_15 #4845) +#4942 := (= uf_8 #4941) +#4943 := (not #4942) +#4848 := (uf_4 uf_14 #4845) +#4849 := (* -1::int #4848) +#4939 := (+ #4776 #4849) +#4940 := (<= #4939 0::int) +#4846 := (uf_1 #4845 ?x64!17) +#4847 := (uf_10 #4846) +#4842 := (* -1::int #4847) +#4926 := (+ #4842 #4849) +#4927 := (+ #4776 #4926) +#4930 := (= #4927 0::int) +#4932 := (not #4930) +#5006 := (or #4932 #4940 #4943) +#5242 := [hypothesis]: #4668 +#4159 := (or #4665 #933) +#4154 := [def-axiom]: #4159 +#5243 := [unit-resolution #4154 #5242]: #933 +#4134 := (or #4665 #4659) +#4135 := [def-axiom]: #4134 +#5244 := [unit-resolution #4135 #5242]: #4659 +#5245 := [hypothesis]: #109 +#5247 := (= #250 #108) +#5246 := [symm #5243]: #231 +#5248 := [monotonicity #5246]: #5247 +#5249 := [trans #5248 #5245]: #251 +#4193 := (or #4641 #2536) +#4198 := [def-axiom]: #4193 +#5250 := [unit-resolution #4198 #5249]: #4641 +#5087 := [hypothesis]: #4412 +#4160 := (or #4665 #4601) +#4133 := [def-axiom]: #4160 +#5230 := [unit-resolution #4133 #5242]: #4601 +#5100 := (or #3693 #4417 #4606 #1053) +#4862 := (uf_4 uf_14 ?x67!19) +#3931 := (uf_4 uf_14 ?x66!20) +#3932 := (* -1::int #3931) +#4955 := (+ #3932 #4862) +#4956 := (+ #2517 #4955) +#4959 := (>= #4956 0::int) +#4866 := (uf_6 uf_15 ?x67!19) +#4867 := (= uf_8 #4866) +#4863 := (* -1::int #4862) +#4864 := (+ uf_9 #4863) +#4865 := (<= #4864 0::int) +#5068 := (not #4865) +#5072 := [hypothesis]: #3698 +#4189 := (or #3693 #2523) +#4186 := [def-axiom]: #4189 +#5073 := [unit-resolution #4186 #5072]: #2523 +#5061 := (+ #2514 #4863) +#5063 := (>= #5061 0::int) +#5060 := (= #2514 #4862) +#5075 := (= #4862 #2514) +#5074 := [hypothesis]: #933 +#5076 := [monotonicity #5074]: #5075 +#5077 := [symm #5076]: #5060 +#5078 := (not #5060) +#5079 := (or #5078 #5063) +#5080 := [th-lemma]: #5079 +#5081 := [unit-resolution #5080 #5077]: #5063 +#5069 := (not #5063) +#5070 := (or #5068 #5069 #2522) +#5064 := [hypothesis]: #2523 +#5065 := [hypothesis]: #4865 +#5066 := [hypothesis]: #5063 +#5067 := [th-lemma #5066 #5065 #5064]: false +#5071 := [lemma #5067]: #5070 +#5082 := [unit-resolution #5071 #5081 #5073]: #5068 +#4869 := (or #4865 #4867) +#5083 := [hypothesis]: #4601 +#4872 := (or #4606 #4865 #4867) +#4868 := (or #4867 #4865) +#4873 := (or #4606 #4868) +#4880 := (iff #4873 #4872) +#4875 := (or #4606 #4869) +#4878 := (iff #4875 #4872) +#4879 := [rewrite]: #4878 +#4876 := (iff #4873 #4875) +#4870 := (iff #4868 #4869) +#4871 := [rewrite]: #4870 +#4877 := [monotonicity #4871]: #4876 +#4881 := [trans #4877 #4879]: #4880 +#4874 := [quant-inst]: #4873 +#4882 := [mp #4874 #4881]: #4872 +#5084 := [unit-resolution #4882 #5083]: #4869 +#5085 := [unit-resolution #5084 #5082]: #4867 +#4953 := (not #4867) +#5088 := (or #4953 #4959) +#4190 := (or #3693 #2527) +#4170 := [def-axiom]: #4190 +#5086 := [unit-resolution #4170 #5072]: #2527 +#4970 := (or #4417 #2526 #4953 #4959) +#4948 := (+ #4862 #3932) +#4949 := (+ #2517 #4948) +#4952 := (>= #4949 0::int) +#4954 := (or #4953 #2526 #4952) +#4971 := (or #4417 #4954) +#4978 := (iff #4971 #4970) +#4965 := (or #2526 #4953 #4959) +#4973 := (or #4417 #4965) +#4976 := (iff #4973 #4970) +#4977 := [rewrite]: #4976 +#4974 := (iff #4971 #4973) +#4968 := (iff #4954 #4965) +#4962 := (or #4953 #2526 #4959) +#4966 := (iff #4962 #4965) +#4967 := [rewrite]: #4966 +#4963 := (iff #4954 #4962) +#4960 := (iff #4952 #4959) +#4957 := (= #4949 #4956) +#4958 := [rewrite]: #4957 +#4961 := [monotonicity #4958]: #4960 +#4964 := [monotonicity #4961]: #4963 +#4969 := [trans #4964 #4967]: #4968 +#4975 := [monotonicity #4969]: #4974 +#4979 := [trans #4975 #4977]: #4978 +#4972 := [quant-inst]: #4971 +#4980 := [mp #4972 #4979]: #4970 +#5089 := [unit-resolution #4980 #5087 #5086]: #5088 +#5090 := [unit-resolution #5089 #5085]: #4959 +#4171 := (not #3096) +#4173 := (or #3693 #4171) +#4174 := [def-axiom]: #4173 +#5091 := [unit-resolution #4174 #5072]: #4171 +#5054 := (+ #2512 #3932) +#5058 := (<= #5054 0::int) +#5053 := (= #2512 #3931) +#5092 := (= #3931 #2512) +#5093 := [monotonicity #5074]: #5092 +#5094 := [symm #5093]: #5053 +#5095 := (not #5053) +#5096 := (or #5095 #5058) +#5097 := [th-lemma]: #5096 +#5098 := [unit-resolution #5097 #5094]: #5058 +#5099 := [th-lemma #5098 #5091 #5081 #5090]: false +#5101 := [lemma #5099]: #5100 +#5231 := [unit-resolution #5101 #5230 #5087 #5243]: #3693 +#4181 := (or #4650 #4644 #3698) +#4182 := [def-axiom]: #4181 +#5232 := [unit-resolution #4182 #5231 #5250]: #4650 +#4161 := (or #4653 #4647) +#4162 := [def-axiom]: #4161 +#5233 := [unit-resolution #4162 #5232]: #4653 +#4169 := (or #4662 #4622 #4656) +#4155 := [def-axiom]: #4169 +#5234 := [unit-resolution #4155 #5233 #5244]: #4622 +#4194 := (or #4619 #4611) +#4195 := [def-axiom]: #4194 +#5229 := [unit-resolution #4195 #5234]: #4611 +#5713 := (or #5006 #4616 #1053) +#5123 := (uf_4 uf_22 #4845) +#5136 := (* -1::int #5123) +#5137 := (+ #2448 #5136) +#5138 := (<= #5137 0::int) +#5150 := (+ #4842 #5136) +#5151 := (+ #2448 #5150) +#5152 := (= #5151 0::int) +#5382 := (+ #4848 #5136) +#5387 := (>= #5382 0::int) +#5381 := (= #4848 #5123) +#5643 := (= #5123 #4848) +#5642 := [symm #5074]: #231 +#5644 := [monotonicity #5642]: #5643 +#5645 := [symm #5644]: #5381 +#5646 := (not #5381) +#5647 := (or #5646 #5387) +#5648 := [th-lemma]: #5647 +#5649 := [unit-resolution #5648 #5645]: #5387 +#5119 := (+ #2448 #4777) +#5121 := (>= #5119 0::int) +#5118 := (= #2448 #4776) +#5629 := (= #4776 #2448) +#5630 := [monotonicity #5074]: #5629 +#5631 := [symm #5630]: #5118 +#5632 := (not #5118) +#5633 := (or #5632 #5121) +#5628 := [th-lemma]: #5633 +#5634 := [unit-resolution #5628 #5631]: #5121 +#5040 := (>= #4927 0::int) +#5005 := (not #5006) +#5635 := [hypothesis]: #5005 +#5042 := (or #5006 #4930) +#5043 := [def-axiom]: #5042 +#5636 := [unit-resolution #5043 #5635]: #4930 +#5637 := (or #4932 #5040) +#5638 := [th-lemma]: #5637 +#5653 := [unit-resolution #5638 #5636]: #5040 +#5386 := (<= #5382 0::int) +#5654 := (or #5646 #5386) +#5675 := [th-lemma]: #5654 +#5676 := [unit-resolution #5675 #5645]: #5386 +#5120 := (<= #5119 0::int) +#5677 := (or #5632 #5120) +#5678 := [th-lemma]: #5677 +#5679 := [unit-resolution #5678 #5631]: #5120 +#5034 := (<= #4927 0::int) +#5674 := (or #4932 #5034) +#5680 := [th-lemma]: #5674 +#5681 := [unit-resolution #5680 #5636]: #5034 +#5562 := (not #5387) +#5567 := (not #5121) +#5566 := (not #5040) +#5779 := (not #5386) +#5778 := (not #5120) +#5777 := (not #5034) +#5572 := (or #5152 #5777 #5778 #5779 #5566 #5567 #5562) +#5774 := [hypothesis]: #5386 +#5775 := [hypothesis]: #5120 +#5776 := [hypothesis]: #5034 +#5157 := (not #5152) +#5772 := [hypothesis]: #5157 +#5175 := (>= #5151 0::int) +#5563 := [hypothesis]: #5387 +#5564 := [hypothesis]: #5121 +#5565 := [hypothesis]: #5040 +#5568 := (or #5175 #5566 #5567 #5562) +#5569 := [th-lemma]: #5568 +#5570 := [unit-resolution #5569 #5565 #5564 #5563]: #5175 +#5784 := (not #5175) +#5788 := (or #5784 #5152 #5777 #5778 #5779) +#5773 := [hypothesis]: #5175 +#5174 := (<= #5151 0::int) +#5780 := (or #5174 #5777 #5778 #5779) +#5781 := [th-lemma]: #5780 +#5782 := [unit-resolution #5781 #5776 #5775 #5774]: #5174 +#5783 := (not #5174) +#5785 := (or #5152 #5783 #5784) +#5786 := [th-lemma]: #5785 +#5787 := [unit-resolution #5786 #5782 #5773 #5772]: false +#5789 := [lemma #5787]: #5788 +#5571 := [unit-resolution #5789 #5570 #5772 #5776 #5775 #5774]: false +#5641 := [lemma #5571]: #5572 +#5682 := [unit-resolution #5641 #5681 #5679 #5676 #5653 #5634 #5649]: #5152 +#5160 := (or #5138 #5157) +#5683 := [hypothesis]: #4611 +#5163 := (or #4616 #5138 #5157) +#5122 := (+ #2449 #4847) +#5124 := (+ #5123 #5122) +#5125 := (= #5124 0::int) +#5126 := (not #5125) +#5127 := (+ #5123 #2449) +#5128 := (>= #5127 0::int) +#5129 := (or #5128 #5126) +#5164 := (or #4616 #5129) +#5171 := (iff #5164 #5163) +#5166 := (or #4616 #5160) +#5169 := (iff #5166 #5163) +#5170 := [rewrite]: #5169 +#5167 := (iff #5164 #5166) +#5161 := (iff #5129 #5160) +#5158 := (iff #5126 #5157) +#5155 := (iff #5125 #5152) +#5143 := (+ #4847 #5123) +#5144 := (+ #2449 #5143) +#5147 := (= #5144 0::int) +#5153 := (iff #5147 #5152) +#5154 := [rewrite]: #5153 +#5148 := (iff #5125 #5147) +#5145 := (= #5124 #5144) +#5146 := [rewrite]: #5145 +#5149 := [monotonicity #5146]: #5148 +#5156 := [trans #5149 #5154]: #5155 +#5159 := [monotonicity #5156]: #5158 +#5141 := (iff #5128 #5138) +#5130 := (+ #2449 #5123) +#5133 := (>= #5130 0::int) +#5139 := (iff #5133 #5138) +#5140 := [rewrite]: #5139 +#5134 := (iff #5128 #5133) +#5131 := (= #5127 #5130) +#5132 := [rewrite]: #5131 +#5135 := [monotonicity #5132]: #5134 +#5142 := [trans #5135 #5140]: #5141 +#5162 := [monotonicity #5142 #5159]: #5161 +#5168 := [monotonicity #5162]: #5167 +#5172 := [trans #5168 #5170]: #5171 +#5165 := [quant-inst]: #5164 +#5173 := [mp #5165 #5172]: #5163 +#5684 := [unit-resolution #5173 #5683]: #5160 +#5710 := [unit-resolution #5684 #5682]: #5138 +#5041 := (not #4940) +#5044 := (or #5006 #5041) +#5045 := [def-axiom]: #5044 +#5711 := [unit-resolution #5045 #5635]: #5041 +#5712 := [th-lemma #5634 #5711 #5649 #5710]: false +#5714 := [lemma #5712]: #5713 +#5235 := [unit-resolution #5714 #5229 #5243]: #5006 +#5238 := (or #4779 #5005) +#4191 := (or #4619 #2996) +#4192 := [def-axiom]: #4191 +#5236 := [unit-resolution #4192 #5234]: #2996 +#5237 := [hypothesis]: #4437 +#5023 := (or #4442 #2993 #4779 #5005) +#4850 := (+ #4849 #4842) +#4851 := (+ #4776 #4850) +#4852 := (= #4851 0::int) +#4938 := (not #4852) +#4944 := (or #4943 #4940 #4938) +#4945 := (not #4944) +#4946 := (or #2462 #4779 #4945) +#5025 := (or #4442 #4946) +#5031 := (iff #5025 #5023) +#5013 := (or #2993 #4779 #5005) +#5027 := (or #4442 #5013) +#5024 := (iff #5027 #5023) +#5030 := [rewrite]: #5024 +#5028 := (iff #5025 #5027) +#5014 := (iff #4946 #5013) +#5011 := (iff #4945 #5005) +#5009 := (iff #4944 #5006) +#4935 := (or #4943 #4940 #4932) +#5007 := (iff #4935 #5006) +#5008 := [rewrite]: #5007 +#4950 := (iff #4944 #4935) +#4933 := (iff #4938 #4932) +#4925 := (iff #4852 #4930) +#4928 := (= #4851 #4927) +#4929 := [rewrite]: #4928 +#4931 := [monotonicity #4929]: #4925 +#4934 := [monotonicity #4931]: #4933 +#4951 := [monotonicity #4934]: #4950 +#5010 := [trans #4951 #5008]: #5009 +#5012 := [monotonicity #5010]: #5011 +#5015 := [monotonicity #2995 #5012]: #5014 +#5029 := [monotonicity #5015]: #5028 +#5032 := [trans #5029 #5030]: #5031 +#5026 := [quant-inst]: #5025 +#5033 := [mp #5026 #5032]: #5023 +#5239 := [unit-resolution #5033 #5237 #5236]: #5238 +#5254 := [unit-resolution #5239 #5235]: #4779 +#4200 := (or #4619 #2461) +#4207 := [def-axiom]: #4200 +#5255 := [unit-resolution #4207 #5234]: #2461 +#5280 := [monotonicity #5243]: #5629 +#5281 := [symm #5280]: #5118 +#5282 := [unit-resolution #5628 #5281]: #5121 +#5283 := [th-lemma #5282 #5255 #5254]: false +#5279 := [lemma #5283]: #5284 +#8031 := [unit-resolution #5279 #8030 #8027 #7307]: #4665 +#4138 := (or #4677 #4671) +#4106 := [def-axiom]: #4138 +#7357 := [unit-resolution #4106 #7304]: #4671 +#4143 := (or #4674 #4598 #4668) +#4144 := [def-axiom]: #4143 +#7389 := [unit-resolution #4144 #7357 #8031]: #4598 +#4125 := (or #4595 #151) +#4126 := [def-axiom]: #4125 +#8578 := [unit-resolution #4126 #7389]: #151 +#8595 := [symm #8578]: #8594 +#8592 := (= #7203 #150) +#48 := (:var 0 T5) +#47 := (:var 2 T4) +#49 := (uf_7 #47 #10 #48) +#4329 := (pattern #49) +#360 := (= uf_8 #48) +#50 := (uf_6 #49 #10) +#356 := (= uf_8 #50) +#363 := (iff #356 #360) +#4330 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4329) #363) +#366 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #363) +#4333 := (iff #366 #4330) +#4331 := (iff #363 #363) +#4332 := [refl]: #4331 +#4334 := [quant-intro #4332]: #4333 +#1957 := (~ #366 #366) +#1995 := (~ #363 #363) +#1996 := [refl]: #1995 +#1958 := [nnf-pos #1996]: #1957 +#52 := (= #48 uf_8) +#51 := (= #50 uf_8) +#53 := (iff #51 #52) +#54 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #53) +#367 := (iff #54 #366) +#364 := (iff #53 #363) +#361 := (iff #52 #360) +#362 := [rewrite]: #361 +#358 := (iff #51 #356) +#359 := [rewrite]: #358 +#365 := [monotonicity #359 #362]: #364 +#368 := [quant-intro #365]: #367 +#355 := [asserted]: #54 +#371 := [mp #355 #368]: #366 +#1997 := [mp~ #371 #1958]: #366 +#4335 := [mp #1997 #4334]: #4330 +#7014 := (not #4330) +#7015 := (or #7014 #5314) +#5318 := (= uf_8 uf_8) +#5320 := (iff #5314 #5318) +#7018 := (or #7014 #5320) +#7020 := (iff #7018 #7015) +#7022 := (iff #7015 #7015) +#7023 := [rewrite]: #7022 +#5344 := (iff #5320 #5314) +#5323 := (iff #5314 true) +#5342 := (iff #5323 #5314) +#5343 := [rewrite]: #5342 +#5324 := (iff #5320 #5323) +#5321 := (iff #5318 true) +#5322 := [rewrite]: #5321 +#5340 := [monotonicity #5322]: #5324 +#5345 := [trans #5340 #5343]: #5344 +#7021 := [monotonicity #5345]: #7020 +#7024 := [trans #7021 #7023]: #7020 +#7019 := [quant-inst]: #7018 +#7025 := [mp #7019 #7024]: #7015 +#8579 := [unit-resolution #7025 #4335]: #5314 +#8580 := [symm #8579]: #6089 +#8035 := (= #7128 uf_16) +#7129 := (= uf_16 #7128) +#16 := (uf_2 #12) +#325 := (= #10 #16) +#4301 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #4294) #325) +#329 := (forall (vars (?x4 T2) (?x5 T2)) #325) +#4304 := (iff #329 #4301) +#4302 := (iff #325 #325) +#4303 := [refl]: #4302 +#4305 := [quant-intro #4303]: #4304 +#1949 := (~ #329 #329) +#1983 := (~ #325 #325) +#1984 := [refl]: #1983 +#1950 := [nnf-pos #1984]: #1949 +#17 := (= #16 #10) +#18 := (forall (vars (?x4 T2) (?x5 T2)) #17) +#330 := (iff #18 #329) +#327 := (iff #17 #325) +#328 := [rewrite]: #327 +#331 := [quant-intro #328]: #330 +#324 := [asserted]: #18 +#334 := [mp #324 #331]: #329 +#1985 := [mp~ #334 #1950]: #329 +#4306 := [mp #1985 #4305]: #4301 +#7136 := (not #4301) +#7154 := (or #7136 #7129) +#7155 := [quant-inst]: #7154 +#8034 := [unit-resolution #7155 #4306]: #7129 +#8036 := [symm #8034]: #8035 +#8593 := [monotonicity #8036 #8580]: #8592 +#8591 := [trans #8593 #8595]: #8596 +#32982 := [monotonicity #8591 #32984]: #32980 +#32970 := [monotonicity #32982]: #32985 +#32965 := [symm #32970]: #32955 +#32971 := [monotonicity #32965]: #32968 +#32956 := (not #15367) +#32950 := [hypothesis]: #32956 +#15373 := (or #9846 #15367) +#8693 := (= #144 #2212) +#8633 := (= #2212 #144) +#6559 := (= ?x46!9 uf_16) +#7707 := (= ?x46!9 #7128) +#6330 := (uf_6 uf_15 ?x46!9) +#6365 := (= uf_8 #6330) +#7717 := (ite #7707 #5314 #6365) +#7711 := (uf_6 #7203 ?x46!9) +#7714 := (= uf_8 #7711) +#7720 := (iff #7714 #7717) +#8351 := (or #7026 #7720) +#7708 := (ite #7707 #6089 #6365) +#7712 := (= #7711 uf_8) +#7713 := (iff #7712 #7708) +#8361 := (or #7026 #7713) +#8363 := (iff #8361 #8351) +#8365 := (iff #8351 #8351) +#8366 := [rewrite]: #8365 +#7721 := (iff #7713 #7720) +#7718 := (iff #7708 #7717) +#7719 := [monotonicity #6102]: #7718 +#7715 := (iff #7712 #7714) +#7716 := [rewrite]: #7715 +#7722 := [monotonicity #7716 #7719]: #7721 +#8364 := [monotonicity #7722]: #8363 +#8367 := [trans #8364 #8366]: #8363 +#8362 := [quant-inst]: #8361 +#8368 := [mp #8362 #8367]: #8351 +#8576 := [unit-resolution #8368 #4320]: #7720 +#8601 := (= #2208 #7711) +#8597 := (= #7711 #2208) +#8598 := [monotonicity #8591]: #8597 +#8625 := [symm #8598]: #8601 +#8571 := [hypothesis]: #2836 +#4285 := (or #2831 #2209) +#4275 := [def-axiom]: #4285 +#8577 := [unit-resolution #4275 #8571]: #2209 +#8626 := [trans #8577 #8625]: #7714 +#8404 := (not #7714) +#8401 := (not #7720) +#8405 := (or #8401 #8404 #7717) +#8400 := [def-axiom]: #8405 +#8627 := [unit-resolution #8400 #8626 #8576]: #7717 +#6393 := (uf_1 uf_16 ?x46!9) +#6394 := (uf_10 #6393) +#6337 := (* -1::int #2212) +#6411 := (+ #6337 #6394) +#6412 := (+ #144 #6411) +#6413 := (>= #6412 0::int) +#8287 := (not #6413) +#6395 := (* -1::int #6394) +#6396 := (+ uf_9 #6395) +#6397 := (<= #6396 0::int) +#6421 := (or #6397 #6413) +#6426 := (not #6421) +#3935 := (not #2825) +#3940 := (or #2831 #3935) +#4276 := [def-axiom]: #3940 +#8572 := [unit-resolution #4276 #8571]: #3935 +#4212 := (or #4595 #4456) +#4213 := [def-axiom]: #4212 +#8574 := [unit-resolution #4213 #7389]: #4456 +#8302 := (or #4461 #2825 #6426) +#6398 := (+ #1449 #6395) +#6399 := (+ #2212 #6398) +#6400 := (<= #6399 0::int) +#6401 := (or #6400 #6397) +#6402 := (not #6401) +#6403 := (or #2213 #6402) +#8303 := (or #4461 #6403) +#8310 := (iff #8303 #8302) +#6429 := (or #2825 #6426) +#8305 := (or #4461 #6429) +#8308 := (iff #8305 #8302) +#8309 := [rewrite]: #8308 +#8306 := (iff #8303 #8305) +#6430 := (iff #6403 #6429) +#6427 := (iff #6402 #6426) +#6424 := (iff #6401 #6421) +#6418 := (or #6413 #6397) +#6422 := (iff #6418 #6421) +#6423 := [rewrite]: #6422 +#6419 := (iff #6401 #6418) +#6416 := (iff #6400 #6413) +#6404 := (+ #2212 #6395) +#6405 := (+ #1449 #6404) +#6408 := (<= #6405 0::int) +#6414 := (iff #6408 #6413) +#6415 := [rewrite]: #6414 +#6409 := (iff #6400 #6408) +#6406 := (= #6399 #6405) +#6407 := [rewrite]: #6406 +#6410 := [monotonicity #6407]: #6409 +#6417 := [trans #6410 #6415]: #6416 +#6420 := [monotonicity #6417]: #6419 +#6425 := [trans #6420 #6423]: #6424 +#6428 := [monotonicity #6425]: #6427 +#6431 := [monotonicity #2827 #6428]: #6430 +#8307 := [monotonicity #6431]: #8306 +#8311 := [trans #8307 #8309]: #8310 +#8304 := [quant-inst]: #8303 +#8312 := [mp #8304 #8311]: #8302 +#8628 := [unit-resolution #8312 #8574 #8572]: #6426 +#8288 := (or #6421 #8287) +#8289 := [def-axiom]: #8288 +#8629 := [unit-resolution #8289 #8628]: #8287 +#8369 := (not #7717) +#9187 := (or #7707 #6413 #8369) +#7754 := (uf_1 #7128 ?x46!9) +#7838 := (uf_3 #7754) +#9086 := (uf_4 uf_14 #7838) +#9087 := (* -1::int #9086) +#7168 := (uf_4 uf_14 #7128) +#9088 := (+ #7168 #9087) +#9089 := (>= #9088 0::int) +#9090 := (uf_6 uf_15 #7838) +#9091 := (= uf_8 #9090) +#9139 := (= #6330 #9090) +#9135 := (= #9090 #6330) +#9133 := (= #7838 ?x46!9) +#7839 := (= ?x46!9 #7838) +#8519 := (or #5378 #7839) +#8257 := [quant-inst]: #8519 +#9132 := [unit-resolution #8257 #4300]: #7839 +#9134 := [symm #9132]: #9133 +#9136 := [monotonicity #9134]: #9135 +#9140 := [symm #9136]: #9139 +#9129 := [hypothesis]: #7717 +#7733 := (not #7707) +#9130 := [hypothesis]: #7733 +#8347 := (or #8369 #7707 #6365) +#8354 := [def-axiom]: #8347 +#9131 := [unit-resolution #8354 #9130 #9129]: #6365 +#9141 := [trans #9131 #9140]: #9091 +#9092 := (not #9091) +#9154 := (or #9089 #9092) +#7246 := (uf_6 uf_15 #7128) +#7247 := (= uf_8 #7246) +#9149 := (not #7247) +#9150 := (iff #588 #9149) +#9147 := (iff #585 #7247) +#9145 := (iff #7247 #585) +#9143 := (= #7246 #141) +#9144 := [monotonicity #8036]: #9143 +#9146 := [monotonicity #9144]: #9145 +#9148 := [symm #9146]: #9147 +#9151 := [monotonicity #9148]: #9150 +#4127 := (or #4595 #588) +#4220 := [def-axiom]: #4127 +#9142 := [unit-resolution #4220 #7389]: #588 +#9152 := [mp #9142 #9151]: #9149 +#4076 := (or #4677 #4421) +#4131 := [def-axiom]: #4076 +#9153 := [unit-resolution #4131 #7304]: #4421 +#9097 := (or #4426 #7247 #9089 #9092) +#9093 := (or #9092 #7247 #9089) +#9098 := (or #4426 #9093) +#9105 := (iff #9098 #9097) +#9094 := (or #7247 #9089 #9092) +#9100 := (or #4426 #9094) +#9103 := (iff #9100 #9097) +#9104 := [rewrite]: #9103 +#9101 := (iff #9098 #9100) +#9095 := (iff #9093 #9094) +#9096 := [rewrite]: #9095 +#9102 := [monotonicity #9096]: #9101 +#9106 := [trans #9102 #9104]: #9105 +#9099 := [quant-inst]: #9098 +#9107 := [mp #9099 #9106]: #9097 +#9155 := [unit-resolution #9107 #9153 #9152]: #9154 +#9156 := [unit-resolution #9155 #9141]: #9089 +#9157 := [hypothesis]: #8287 +#7755 := (uf_10 #7754) +#7756 := (* -1::int #7755) +#8520 := (+ #6394 #7756) +#8524 := (>= #8520 0::int) +#8517 := (= #6394 #7755) +#9160 := (= #7755 #6394) +#9158 := (= #7754 #6393) +#9159 := [monotonicity #8036]: #9158 +#9161 := [monotonicity #9159]: #9160 +#9162 := [symm #9161]: #8517 +#9163 := (not #8517) +#9164 := (or #9163 #8524) +#9165 := [th-lemma]: #9164 +#9166 := [unit-resolution #9165 #9162]: #8524 +#8514 := (>= #7755 0::int) +#7798 := (<= #7755 0::int) +#7799 := (not #7798) +#7804 := (or #7707 #7799) +#59 := (uf_10 #12) +#409 := (<= #59 0::int) +#410 := (not #409) +#58 := (= #10 #11) +#413 := (or #58 #410) +#4342 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #4294) #413) +#416 := (forall (vars (?x22 T2) (?x23 T2)) #413) +#4345 := (iff #416 #4342) +#4343 := (iff #413 #413) +#4344 := [refl]: #4343 +#4346 := [quant-intro #4344]: #4345 +#1963 := (~ #416 #416) +#1962 := (~ #413 #413) +#2000 := [refl]: #1962 +#1964 := [nnf-pos #2000]: #1963 +#64 := (< 0::int #59) +#63 := (not #58) +#65 := (implies #63 #64) +#66 := (forall (vars (?x22 T2) (?x23 T2)) #65) +#419 := (iff #66 #416) +#403 := (or #58 #64) +#406 := (forall (vars (?x22 T2) (?x23 T2)) #403) +#417 := (iff #406 #416) +#414 := (iff #403 #413) +#411 := (iff #64 #410) +#412 := [rewrite]: #411 +#415 := [monotonicity #412]: #414 +#418 := [quant-intro #415]: #417 +#407 := (iff #66 #406) +#404 := (iff #65 #403) +#405 := [rewrite]: #404 +#408 := [quant-intro #405]: #407 +#420 := [trans #408 #418]: #419 +#402 := [asserted]: #66 +#421 := [mp #402 #420]: #416 +#2001 := [mp~ #421 #1964]: #416 +#4347 := [mp #2001 #4346]: #4342 +#7093 := (not #4342) +#8435 := (or #7093 #7707 #7799) +#7800 := (= #7128 ?x46!9) +#7801 := (or #7800 #7799) +#8436 := (or #7093 #7801) +#8447 := (iff #8436 #8435) +#8437 := (or #7093 #7804) +#8443 := (iff #8437 #8435) +#8444 := [rewrite]: #8443 +#8438 := (iff #8436 #8437) +#7805 := (iff #7801 #7804) +#7802 := (iff #7800 #7707) +#7803 := [rewrite]: #7802 +#7806 := [monotonicity #7803]: #7805 +#8439 := [monotonicity #7806]: #8438 +#8448 := [trans #8439 #8444]: #8447 +#8434 := [quant-inst]: #8436 +#8482 := [mp #8434 #8448]: #8435 +#9167 := [unit-resolution #8482 #4347]: #7804 +#9168 := [unit-resolution #9167 #9130]: #7799 +#9169 := (or #8514 #7798) +#9170 := [th-lemma]: #9169 +#9171 := [unit-resolution #9170 #9168]: #8514 +#9126 := (+ #2212 #9087) +#9127 := (<= #9126 0::int) +#9125 := (= #2212 #9086) +#9172 := (= #9086 #2212) +#9173 := [monotonicity #9134]: #9172 +#9174 := [symm #9173]: #9125 +#9175 := (not #9125) +#9176 := (or #9175 #9127) +#9177 := [th-lemma]: #9176 +#9178 := [unit-resolution #9177 #9174]: #9127 +#7162 := (* -1::int #7168) +#7568 := (+ #144 #7162) +#7572 := (>= #7568 0::int) +#7233 := (= #144 #7168) +#9179 := (= #7168 #144) +#9180 := [monotonicity #8036]: #9179 +#9181 := [symm #9180]: #7233 +#9182 := (not #7233) +#9183 := (or #9182 #7572) +#9184 := [th-lemma]: #9183 +#9185 := [unit-resolution #9184 #9181]: #7572 +#9186 := [th-lemma #9185 #9178 #9171 #9166 #9157 #9156]: false +#9188 := [lemma #9186]: #9187 +#8624 := [unit-resolution #9188 #8629 #8627]: #7707 +#8630 := [trans #8624 #8036]: #6559 +#8634 := [monotonicity #8630]: #8633 +#8694 := [symm #8634]: #8693 +#8695 := (= #2211 #144) +#5856 := (uf_18 uf_16) +#8641 := (= #5856 #144) +#5857 := (= #144 #5856) +#5844 := (uf_1 uf_16 uf_16) +#5845 := (uf_10 #5844) +#5864 := (>= #5845 0::int) +#5848 := (* -1::int #5845) +#5849 := (+ uf_9 #5848) +#5850 := (<= #5849 0::int) +#5872 := (or #5850 #5864) +#7965 := (uf_1 #7128 #7128) +#7966 := (uf_10 #7965) +#7967 := (* -1::int #7966) +#8029 := (+ #5845 #7967) +#8033 := (>= #8029 0::int) +#8028 := (= #5845 #7966) +#8039 := (= #5844 #7965) +#8037 := (= #7965 #5844) +#8038 := [monotonicity #8036 #8036]: #8037 +#8040 := [symm #8038]: #8039 +#8041 := [monotonicity #8040]: #8028 +#8042 := (not #8028) +#8043 := (or #8042 #8033) +#8044 := [th-lemma]: #8043 +#8045 := [unit-resolution #8044 #8041]: #8033 +#7976 := (>= #7966 0::int) +#7998 := (= #7966 0::int) +#60 := (= #59 0::int) +#393 := (or #63 #60) +#4336 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4294) #393) +#396 := (forall (vars (?x20 T2) (?x21 T2)) #393) +#4339 := (iff #396 #4336) +#4337 := (iff #393 #393) +#4338 := [refl]: #4337 +#4340 := [quant-intro #4338]: #4339 +#1959 := (~ #396 #396) +#1998 := (~ #393 #393) +#1999 := [refl]: #1998 +#1960 := [nnf-pos #1999]: #1959 +#61 := (implies #58 #60) +#62 := (forall (vars (?x20 T2) (?x21 T2)) #61) +#399 := (iff #62 #396) +#372 := (= 0::int #59) +#383 := (or #63 #372) +#388 := (forall (vars (?x20 T2) (?x21 T2)) #383) +#397 := (iff #388 #396) +#394 := (iff #383 #393) +#391 := (iff #372 #60) +#392 := [rewrite]: #391 +#395 := [monotonicity #392]: #394 +#398 := [quant-intro #395]: #397 +#389 := (iff #62 #388) +#386 := (iff #61 #383) +#380 := (implies #58 #372) +#384 := (iff #380 #383) +#385 := [rewrite]: #384 +#381 := (iff #61 #380) +#378 := (iff #60 #372) +#379 := [rewrite]: #378 +#382 := [monotonicity #379]: #381 +#387 := [trans #382 #385]: #386 +#390 := [quant-intro #387]: #389 +#400 := [trans #390 #398]: #399 +#370 := [asserted]: #62 +#401 := [mp #370 #400]: #396 +#1961 := [mp~ #401 #1960]: #396 +#4341 := [mp #1961 #4340]: #4336 +#6863 := (not #4336) +#8012 := (or #6863 #7998) +#7248 := (= #7128 #7128) +#7999 := (not #7248) +#8000 := (or #7999 #7998) +#8013 := (or #6863 #8000) +#8015 := (iff #8013 #8012) +#8017 := (iff #8012 #8012) +#8018 := [rewrite]: #8017 +#8010 := (iff #8000 #7998) +#8005 := (or false #7998) +#8008 := (iff #8005 #7998) +#8009 := [rewrite]: #8008 +#8006 := (iff #8000 #8005) +#8003 := (iff #7999 false) +#8001 := (iff #7999 #6849) +#7256 := (iff #7248 true) +#7257 := [rewrite]: #7256 +#8002 := [monotonicity #7257]: #8001 +#8004 := [trans #8002 #6853]: #8003 +#8007 := [monotonicity #8004]: #8006 +#8011 := [trans #8007 #8009]: #8010 +#8016 := [monotonicity #8011]: #8015 +#8019 := [trans #8016 #8018]: #8015 +#8014 := [quant-inst]: #8013 +#8020 := [mp #8014 #8019]: #8012 +#8046 := [unit-resolution #8020 #4341]: #7998 +#8047 := (not #7998) +#8048 := (or #8047 #7976) +#8049 := [th-lemma]: #8048 +#8050 := [unit-resolution #8049 #8046]: #7976 +#6974 := (not #5864) +#8051 := [hypothesis]: #6974 +#8052 := [th-lemma #8051 #8050 #8045]: false +#8053 := [lemma #8052]: #5864 +#6975 := (or #5872 #6974) +#6976 := [def-axiom]: #6975 +#8573 := [unit-resolution #6976 #8053]: #5872 +#5877 := (not #5872) +#5880 := (or #5857 #5877) +#6955 := (or #4461 #5857 #5877) +#5851 := (+ #1449 #5848) +#5852 := (+ #144 #5851) +#5853 := (<= #5852 0::int) +#5854 := (or #5853 #5850) +#5855 := (not #5854) +#5858 := (or #5857 #5855) +#6956 := (or #4461 #5858) +#6967 := (iff #6956 #6955) +#6962 := (or #4461 #5880) +#6965 := (iff #6962 #6955) +#6966 := [rewrite]: #6965 +#6963 := (iff #6956 #6962) +#5881 := (iff #5858 #5880) +#5878 := (iff #5855 #5877) +#5875 := (iff #5854 #5872) +#5869 := (or #5864 #5850) +#5873 := (iff #5869 #5872) +#5874 := [rewrite]: #5873 +#5870 := (iff #5854 #5869) +#5867 := (iff #5853 #5864) +#5861 := (<= #5848 0::int) +#5865 := (iff #5861 #5864) +#5866 := [rewrite]: #5865 +#5862 := (iff #5853 #5861) +#5859 := (= #5852 #5848) +#5860 := [rewrite]: #5859 +#5863 := [monotonicity #5860]: #5862 +#5868 := [trans #5863 #5866]: #5867 +#5871 := [monotonicity #5868]: #5870 +#5876 := [trans #5871 #5874]: #5875 +#5879 := [monotonicity #5876]: #5878 +#5882 := [monotonicity #5879]: #5881 +#6964 := [monotonicity #5882]: #6963 +#6968 := [trans #6964 #6966]: #6967 +#6961 := [quant-inst]: #6956 +#6969 := [mp #6961 #6968]: #6955 +#8575 := [unit-resolution #6969 #8574]: #5880 +#8570 := [unit-resolution #8575 #8573]: #5857 +#8642 := [symm #8570]: #8641 +#8631 := (= #2211 #5856) +#8632 := [monotonicity #8630]: #8631 +#8696 := [trans #8632 #8642]: #8695 +#8697 := [trans #8696 #8694]: #2825 +#8698 := [unit-resolution #8572 #8697]: false +#8699 := [lemma #8698]: #2831 +#4203 := (or #4595 #4589) +#4204 := [def-axiom]: #4203 +#9435 := [unit-resolution #4204 #7389]: #4589 +#4209 := (or #4595 #4464) +#4214 := [def-axiom]: #4209 +#7390 := [unit-resolution #4214 #7389]: #4464 +#6363 := (or #2817 #4469 #4461) +#6139 := (uf_1 uf_16 ?x45!8) +#6140 := (uf_10 #6139) +#6165 := (+ #2191 #6140) +#6166 := (+ #144 #6165) +#6192 := (>= #6166 0::int) +#6169 := (= #6166 0::int) +#6144 := (* -1::int #6140) +#6145 := (+ uf_9 #6144) +#6146 := (<= #6145 0::int) +#6226 := (not #6146) +#6158 := (+ #2815 #6140) +#6159 := (+ #144 #6158) +#6160 := (>= #6159 0::int) +#6203 := (or #6146 #6160) +#6208 := (not #6203) +#6197 := (= #2190 #2192) +#6342 := (not #6197) +#6341 := [hypothesis]: #2822 +#6345 := (or #6342 #2817) +#6346 := [th-lemma]: #6345 +#6347 := [unit-resolution #6346 #6341]: #6342 +#6348 := [hypothesis]: #4456 +#6214 := (or #4461 #6197 #6208) +#6147 := (+ #1449 #6144) +#6148 := (+ #2192 #6147) +#6149 := (<= #6148 0::int) +#6193 := (or #6149 #6146) +#6194 := (not #6193) +#6195 := (= #2192 #2190) +#6196 := (or #6195 #6194) +#6215 := (or #4461 #6196) +#6222 := (iff #6215 #6214) +#6211 := (or #6197 #6208) +#6217 := (or #4461 #6211) +#6220 := (iff #6217 #6214) +#6221 := [rewrite]: #6220 +#6218 := (iff #6215 #6217) +#6212 := (iff #6196 #6211) +#6209 := (iff #6194 #6208) +#6206 := (iff #6193 #6203) +#6200 := (or #6160 #6146) +#6204 := (iff #6200 #6203) +#6205 := [rewrite]: #6204 +#6201 := (iff #6193 #6200) +#6163 := (iff #6149 #6160) +#6151 := (+ #2192 #6144) +#6152 := (+ #1449 #6151) +#6155 := (<= #6152 0::int) +#6161 := (iff #6155 #6160) +#6162 := [rewrite]: #6161 +#6156 := (iff #6149 #6155) +#6153 := (= #6148 #6152) +#6154 := [rewrite]: #6153 +#6157 := [monotonicity #6154]: #6156 +#6164 := [trans #6157 #6162]: #6163 +#6202 := [monotonicity #6164]: #6201 +#6207 := [trans #6202 #6205]: #6206 +#6210 := [monotonicity #6207]: #6209 +#6198 := (iff #6195 #6197) +#6199 := [rewrite]: #6198 +#6213 := [monotonicity #6199 #6210]: #6212 +#6219 := [monotonicity #6213]: #6218 +#6223 := [trans #6219 #6221]: #6222 +#6216 := [quant-inst]: #6215 +#6224 := [mp #6216 #6223]: #6214 +#6349 := [unit-resolution #6224 #6348 #6347]: #6208 +#6227 := (or #6203 #6226) +#6228 := [def-axiom]: #6227 +#6350 := [unit-resolution #6228 #6349]: #6226 +#6229 := (not #6160) +#6230 := (or #6203 #6229) +#6231 := [def-axiom]: #6230 +#6351 := [unit-resolution #6231 #6349]: #6229 +#6175 := (or #6146 #6160 #6169) +#6352 := [hypothesis]: #4464 +#6180 := (or #4469 #6146 #6160 #6169) +#6141 := (+ #6140 #2191) +#6142 := (+ #144 #6141) +#6143 := (= #6142 0::int) +#6150 := (or #6149 #6146 #6143) +#6181 := (or #4469 #6150) +#6188 := (iff #6181 #6180) +#6183 := (or #4469 #6175) +#6186 := (iff #6183 #6180) +#6187 := [rewrite]: #6186 +#6184 := (iff #6181 #6183) +#6178 := (iff #6150 #6175) +#6172 := (or #6160 #6146 #6169) +#6176 := (iff #6172 #6175) +#6177 := [rewrite]: #6176 +#6173 := (iff #6150 #6172) +#6170 := (iff #6143 #6169) +#6167 := (= #6142 #6166) +#6168 := [rewrite]: #6167 +#6171 := [monotonicity #6168]: #6170 +#6174 := [monotonicity #6164 #6171]: #6173 +#6179 := [trans #6174 #6177]: #6178 +#6185 := [monotonicity #6179]: #6184 +#6189 := [trans #6185 #6187]: #6188 +#6182 := [quant-inst]: #6181 +#6190 := [mp #6182 #6189]: #6180 +#6353 := [unit-resolution #6190 #6352]: #6175 +#6354 := [unit-resolution #6353 #6351 #6350]: #6169 +#6355 := (not #6169) +#6356 := (or #6355 #6192) +#6357 := [th-lemma]: #6356 +#6358 := [unit-resolution #6357 #6354]: #6192 +#6225 := (>= #2816 0::int) +#6359 := (or #6225 #2817) +#6360 := [th-lemma]: #6359 +#6361 := [unit-resolution #6360 #6341]: #6225 +#6362 := [th-lemma #6361 #6351 #6358]: false +#6364 := [lemma #6362]: #6363 +#9436 := [unit-resolution #6364 #7390 #8574]: #2817 +#4123 := (or #4592 #2822 #4586) +#4124 := [def-axiom]: #4123 +#9437 := [unit-resolution #4124 #9436 #9435]: #4586 +#4215 := (or #4583 #4577) +#4216 := [def-axiom]: #4215 +#9438 := [unit-resolution #4216 #9437]: #4577 +#4111 := (or #4580 #2836 #4574) +#4070 := [def-axiom]: #4111 +#9439 := [unit-resolution #4070 #9438]: #4577 +#9422 := [unit-resolution #9439 #8699]: #4574 +#4068 := (or #4571 #4481) +#4069 := [def-axiom]: #4068 +#9423 := [unit-resolution #4069 #9422]: #4481 +#10877 := (or #4486 #9846 #15367) +#15363 := (= #15362 #2306) +#15366 := (or #15363 #9846) +#14529 := (or #4486 #15366) +#14658 := (iff #14529 #10877) +#14681 := (or #4486 #15373) +#14554 := (iff #14681 #10877) +#14690 := [rewrite]: #14554 +#12540 := (iff #14529 #14681) +#15376 := (iff #15366 #15373) +#15370 := (or #15367 #9846) +#15374 := (iff #15370 #15373) +#15375 := [rewrite]: #15374 +#15371 := (iff #15366 #15370) +#15368 := (iff #15363 #15367) +#15369 := [rewrite]: #15368 +#15372 := [monotonicity #15369]: #15371 +#15377 := [trans #15372 #15375]: #15376 +#14677 := [monotonicity #15377]: #12540 +#14520 := [trans #14677 #14690]: #14658 +#14692 := [quant-inst]: #14529 +#10887 := [mp #14692 #14520]: #10877 +#32978 := [unit-resolution #10887 #9423]: #15373 +#32979 := [unit-resolution #32978 #32950]: #9846 +#32981 := [mp #32979 #32971]: #30313 +#18779 := (= ?x52!15 #7128) +#32989 := (iff #18779 #32602) +#32770 := (iff #32602 #18779) +#25219 := (= #7128 ?x52!15) +#25223 := (iff #25219 #18779) +#29787 := [commutativity]: #25223 +#32974 := (iff #32602 #25219) +#32975 := [monotonicity #32984]: #32974 +#32986 := [trans #32975 #29787]: #32770 +#32991 := [symm #32986]: #32989 +#15413 := (uf_1 uf_16 ?x52!15) +#15414 := (uf_10 #15413) +#15439 := (+ #2307 #15414) +#15440 := (+ #144 #15439) +#15443 := (= #15440 0::int) +#15432 := (+ #15397 #15414) +#15433 := (+ #144 #15432) +#15434 := (>= #15433 0::int) +#15418 := (* -1::int #15414) +#15419 := (+ uf_9 #15418) +#15420 := (<= #15419 0::int) +#15473 := (or #15420 #15434) +#15478 := (not #15473) +#15481 := (or #15367 #15478) +#14730 := (or #4461 #15367 #15478) +#15421 := (+ #1449 #15418) +#15422 := (+ #15362 #15421) +#15423 := (<= #15422 0::int) +#15467 := (or #15423 #15420) +#15468 := (not #15467) +#15469 := (or #15363 #15468) +#14738 := (or #4461 #15469) +#14986 := (iff #14738 #14730) +#14556 := (or #4461 #15481) +#14896 := (iff #14556 #14730) +#15034 := [rewrite]: #14896 +#14832 := (iff #14738 #14556) +#15482 := (iff #15469 #15481) +#15479 := (iff #15468 #15478) +#15476 := (iff #15467 #15473) +#15470 := (or #15434 #15420) +#15474 := (iff #15470 #15473) +#15475 := [rewrite]: #15474 +#15471 := (iff #15467 #15470) +#15437 := (iff #15423 #15434) +#15425 := (+ #15362 #15418) +#15426 := (+ #1449 #15425) +#15429 := (<= #15426 0::int) +#15435 := (iff #15429 #15434) +#15436 := [rewrite]: #15435 +#15430 := (iff #15423 #15429) +#15427 := (= #15422 #15426) +#15428 := [rewrite]: #15427 +#15431 := [monotonicity #15428]: #15430 +#15438 := [trans #15431 #15436]: #15437 +#15472 := [monotonicity #15438]: #15471 +#15477 := [trans #15472 #15475]: #15476 +#15480 := [monotonicity #15477]: #15479 +#15483 := [monotonicity #15369 #15480]: #15482 +#15031 := [monotonicity #15483]: #14832 +#14985 := [trans #15031 #15034]: #14986 +#12501 := [quant-inst]: #14738 +#15678 := [mp #12501 #14985]: #14730 +#32969 := [unit-resolution #15678 #8574]: #15481 +#32952 := [unit-resolution #32969 #32950]: #15478 +#29629 := (or #15473 #15443) +#25301 := (not #15443) +#29623 := [hypothesis]: #25301 +#15187 := (not #15420) +#29624 := [hypothesis]: #15478 +#14833 := (or #15473 #15187) +#15233 := [def-axiom]: #14833 +#29625 := [unit-resolution #15233 #29624]: #15187 +#8899 := (not #15434) +#15050 := (or #15473 #8899) +#15028 := [def-axiom]: #15050 +#29626 := [unit-resolution #15028 #29624]: #8899 +#15449 := (or #15420 #15434 #15443) +#12503 := (or #4469 #15420 #15434 #15443) +#15415 := (+ #15414 #2307) +#15416 := (+ #144 #15415) +#15417 := (= #15416 0::int) +#15424 := (or #15423 #15420 #15417) +#12502 := (or #4469 #15424) +#14824 := (iff #12502 #12503) +#14693 := (or #4469 #15449) +#14698 := (iff #14693 #12503) +#14734 := [rewrite]: #14698 +#14675 := (iff #12502 #14693) +#15452 := (iff #15424 #15449) +#15446 := (or #15434 #15420 #15443) +#15450 := (iff #15446 #15449) +#15451 := [rewrite]: #15450 +#15447 := (iff #15424 #15446) +#15444 := (iff #15417 #15443) +#15441 := (= #15416 #15440) +#15442 := [rewrite]: #15441 +#15445 := [monotonicity #15442]: #15444 +#15448 := [monotonicity #15438 #15445]: #15447 +#15453 := [trans #15448 #15451]: #15452 +#14648 := [monotonicity #15453]: #14675 +#14687 := [trans #14648 #14734]: #14824 +#14736 := [quant-inst]: #12502 +#13488 := [mp #14736 #14687]: #12503 +#29627 := [unit-resolution #13488 #7390]: #15449 +#29628 := [unit-resolution #29627 #29626 #29625 #29623]: false +#29630 := [lemma #29628]: #29629 +#32972 := [unit-resolution #29630 #32952]: #15443 +#29799 := (or #25301 #18779) +#7126 := (uf_3 #6008) +#15598 := (uf_1 #7126 ?x52!15) +#27533 := (uf_3 #15598) +#28710 := (uf_1 #7128 #27533) +#28711 := (uf_10 #28710) +#28714 := (* -1::int #28711) +#28814 := (+ #15414 #28714) +#28506 := (>= #28814 0::int) +#28505 := (= #15414 #28711) +#29767 := (= #28711 #15414) +#29765 := (= #28710 #15413) +#29763 := (= #27533 ?x52!15) +#27534 := (= ?x52!15 #27533) +#27563 := (or #5378 #27534) +#27564 := [quant-inst]: #27563 +#29762 := [unit-resolution #27564 #4300]: #27534 +#29764 := [symm #29762]: #29763 +#29766 := [monotonicity #8036 #29764]: #29765 +#29768 := [monotonicity #29766]: #29767 +#29769 := [symm #29768]: #28505 +#29770 := (not #28505) +#29771 := (or #29770 #28506) +#29772 := [th-lemma]: #29771 +#29773 := [unit-resolution #29772 #29769]: #28506 +#5902 := (* -1::int #5856) +#6232 := (+ #144 #5902) +#6233 := (>= #6232 0::int) +#4218 := (or #4583 #4472) +#4120 := [def-axiom]: #4218 +#14110 := [unit-resolution #4120 #9437]: #4472 +#6959 := (or #4477 #6233) +#6960 := [quant-inst]: #6959 +#12934 := [unit-resolution #6960 #14110]: #6233 +#7167 := (uf_18 #7128) +#8141 := (* -1::int #7167) +#10187 := (+ #5856 #8141) +#7462 := (>= #10187 0::int) +#10181 := (= #5856 #7167) +#14102 := (= #7167 #5856) +#14103 := [monotonicity #8036]: #14102 +#14104 := [symm #14103]: #10181 +#14105 := (not #10181) +#25236 := (or #14105 #7462) +#25243 := [th-lemma]: #25236 +#25235 := [unit-resolution #25243 #14104]: #7462 +#14406 := (<= #15440 0::int) +#25300 := [hypothesis]: #15443 +#25302 := (or #25301 #14406) +#25303 := [th-lemma]: #25302 +#25304 := [unit-resolution #25303 #25300]: #14406 +#15344 := (+ #2306 #8141) +#15518 := (<= #15344 0::int) +#7164 := (uf_6 uf_17 #7128) +#7165 := (= uf_8 #7164) +#25365 := (= #5319 #7164) +#25361 := (= #7164 #5319) +#25364 := [monotonicity #8578 #8036]: #25361 +#25366 := [symm #25364]: #25365 +#25367 := [trans #8579 #25366]: #7165 +#15503 := (uf_1 #7128 ?x52!15) +#15504 := (uf_10 #15503) +#15530 := (* -1::int #15504) +#15531 := (+ #8141 #15530) +#15532 := (+ #2306 #15531) +#15533 := (= #15532 0::int) +#25324 := (or #25301 #15533) +#15538 := (not #15533) +#25256 := [hypothesis]: #15538 +#14445 := (>= #15532 0::int) +#14444 := (+ #15414 #15530) +#14494 := (>= #14444 0::int) +#14488 := (= #15414 #15504) +#25275 := (= #15504 #15414) +#25257 := (= #15503 #15413) +#25274 := [monotonicity #8036]: #25257 +#25270 := [monotonicity #25274]: #25275 +#25276 := [symm #25270]: #14488 +#25277 := (not #14488) +#25278 := (or #25277 #14494) +#25279 := [th-lemma]: #25278 +#25280 := [unit-resolution #25279 #25276]: #14494 +#25306 := (not #14406) +#25305 := (not #14494) +#13409 := (not #6233) +#25299 := (not #7462) +#25307 := (or #14445 #25299 #13409 #25305 #25306) +#25308 := [th-lemma]: #25307 +#25309 := [unit-resolution #25308 #25304 #25235 #12934 #25280]: #14445 +#14391 := (<= #15532 0::int) +#14441 := (<= #14444 0::int) +#25316 := (or #25277 #14441) +#25317 := [th-lemma]: #25316 +#25315 := [unit-resolution #25317 #25276]: #14441 +#6970 := (<= #6232 0::int) +#14098 := (not #5857) +#14099 := (or #14098 #6970) +#14100 := [th-lemma]: #14099 +#14101 := [unit-resolution #14100 #8570]: #6970 +#10188 := (<= #10187 0::int) +#14106 := (or #14105 #10188) +#14107 := [th-lemma]: #14106 +#14108 := [unit-resolution #14107 #14104]: #10188 +#14435 := (>= #15440 0::int) +#25318 := (or #25301 #14435) +#25319 := [th-lemma]: #25318 +#25320 := [unit-resolution #25319 #25300]: #14435 +#25333 := (not #14435) +#25332 := (not #14441) +#12642 := (not #6970) +#25331 := (not #10188) +#25334 := (or #14391 #25331 #12642 #25332 #25333) +#25335 := [th-lemma]: #25334 +#25336 := [unit-resolution #25335 #25320 #14108 #14101 #25315]: #14391 +#25314 := (not #14445) +#25337 := (not #14391) +#25321 := (or #15533 #25337 #25314) +#25322 := [th-lemma]: #25321 +#25323 := [unit-resolution #25322 #25336 #25309 #25256]: false +#25313 := [lemma #25323]: #25324 +#29774 := [unit-resolution #25313 #25300]: #15533 +#7166 := (not #7165) +#15541 := (or #7166 #15518 #15538) +#6002 := (+ #108 #1449) +#7864 := (<= #6002 0::int) +#23377 := (= #108 #144) +#12197 := (= #144 #108) +#5945 := (= uf_16 uf_11) +#5947 := (= uf_11 uf_16) +#5928 := (?x40!7 uf_16) +#5932 := (uf_4 uf_14 #5928) +#5933 := (* -1::int #5932) +#5929 := (uf_1 #5928 uf_16) +#5930 := (uf_10 #5929) +#5931 := (* -1::int #5930) +#5950 := (+ #5931 #5933) +#5951 := (+ #144 #5950) +#5954 := (= #5951 0::int) +#5957 := (not #5954) +#5940 := (uf_6 uf_15 #5928) +#5941 := (= uf_8 #5940) +#5942 := (not #5941) +#5938 := (+ #144 #5933) +#5939 := (<= #5938 0::int) +#5963 := (or #5939 #5942 #5957) +#6003 := (>= #6002 0::int) +#9539 := (not #7864) +#23470 := [hypothesis]: #9539 +#23505 := (or #7864 #6003) +#23465 := [th-lemma]: #23505 +#23464 := [unit-resolution #23465 #23470]: #6003 +#9672 := (not #6003) +#18009 := (or #9672 #5939) +#7466 := (>= #5932 0::int) +#8252 := (not #7466) +#8253 := [hypothesis]: #8252 +#8212 := (or #4409 #7466) +#8206 := [quant-inst]: #8212 +#8263 := [unit-resolution #8206 #7305 #8253]: false +#8264 := [lemma #8263]: #7466 +#17999 := (or #9672 #8252 #5939) +#4050 := (<= #108 0::int) +#7308 := (or #1854 #4050) +#7309 := [th-lemma]: #7308 +#7310 := [unit-resolution #7309 #7307]: #4050 +#5512 := (not #4050) +#17980 := (or #9672 #5512 #8252 #5939) +#17982 := [th-lemma]: #17980 +#17995 := [unit-resolution #17982 #7310]: #17999 +#18007 := [unit-resolution #17995 #8264]: #18009 +#23469 := [unit-resolution #18007 #23464]: #5939 +#7005 := (not #5939) +#7006 := (or #5963 #7005) +#7007 := [def-axiom]: #7006 +#23506 := [unit-resolution #7007 #23469]: #5963 +#5968 := (not #5963) +#18000 := (or #5947 #5968) +#4208 := (or #4595 #1657) +#4210 := [def-axiom]: #4208 +#16348 := [unit-resolution #4210 #7389]: #1657 +#6992 := (or #4442 #1656 #5947 #5968) +#5934 := (+ #5933 #5931) +#5935 := (+ #144 #5934) +#5936 := (= #5935 0::int) +#5937 := (not #5936) +#5943 := (or #5942 #5939 #5937) +#5944 := (not #5943) +#5946 := (or #5945 #1656 #5944) +#6993 := (or #4442 #5946) +#7000 := (iff #6993 #6992) +#5974 := (or #1656 #5947 #5968) +#6995 := (or #4442 #5974) +#6998 := (iff #6995 #6992) +#6999 := [rewrite]: #6998 +#6996 := (iff #6993 #6995) +#5977 := (iff #5946 #5974) +#5971 := (or #5947 #1656 #5968) +#5975 := (iff #5971 #5974) +#5976 := [rewrite]: #5975 +#5972 := (iff #5946 #5971) +#5969 := (iff #5944 #5968) +#5966 := (iff #5943 #5963) +#5960 := (or #5942 #5939 #5957) +#5964 := (iff #5960 #5963) +#5965 := [rewrite]: #5964 +#5961 := (iff #5943 #5960) +#5958 := (iff #5937 #5957) +#5955 := (iff #5936 #5954) +#5952 := (= #5935 #5951) +#5953 := [rewrite]: #5952 +#5956 := [monotonicity #5953]: #5955 +#5959 := [monotonicity #5956]: #5958 +#5962 := [monotonicity #5959]: #5961 +#5967 := [trans #5962 #5965]: #5966 +#5970 := [monotonicity #5967]: #5969 +#5948 := (iff #5945 #5947) +#5949 := [rewrite]: #5948 +#5973 := [monotonicity #5949 #5970]: #5972 +#5978 := [trans #5973 #5976]: #5977 +#6997 := [monotonicity #5978]: #6996 +#7001 := [trans #6997 #6999]: #7000 +#6994 := [quant-inst]: #6993 +#7002 := [mp #6994 #7001]: #6992 +#18030 := [unit-resolution #7002 #8030 #16348]: #18000 +#23510 := [unit-resolution #18030 #23506]: #5947 +#12009 := [symm #23510]: #5945 +#12163 := [monotonicity #12009]: #12197 +#12023 := [symm #12163]: #23377 +#12215 := (not #23377) +#12216 := (or #12215 #7864) +#11464 := [th-lemma]: #12216 +#12217 := [unit-resolution #11464 #23470 #12023]: false +#12311 := [lemma #12217]: #7864 +#9540 := (or #2234 #9539) +#6554 := (uf_1 uf_16 ?x47!10) +#6555 := (uf_10 #6554) +#6435 := (* -1::int #2233) +#6597 := (+ #6435 #6555) +#6598 := (+ #144 #6597) +#8322 := (<= #6598 0::int) +#6601 := (= #6598 0::int) +#6538 := (* -1::int #6555) +#6539 := (+ uf_9 #6538) +#6540 := (<= #6539 0::int) +#8336 := (not #6540) +#6327 := (uf_4 uf_14 ?x47!10) +#6471 := (* -1::int #6327) +#6590 := (+ #6471 #6555) +#6591 := (+ #144 #6590) +#6592 := (>= #6591 0::int) +#6650 := (or #6540 #6592) +#6660 := (not #6650) +#6344 := (= #2233 #6327) +#9327 := (not #6344) +#6472 := (+ #2233 #6471) +#8301 := (>= #6472 0::int) +#9317 := (not #8301) +#9321 := [hypothesis]: #2235 +#6814 := (>= #6327 0::int) +#7656 := (or #4409 #6814) +#7657 := [quant-inst]: #7656 +#9322 := [unit-resolution #7657 #7305]: #6814 +#9323 := (not #6814) +#9324 := (or #9317 #2234 #9323) +#9325 := [th-lemma]: #9324 +#9326 := [unit-resolution #9325 #9322 #9321]: #9317 +#9347 := (or #9327 #8301) +#9348 := [th-lemma]: #9347 +#9349 := [unit-resolution #9348 #9326]: #9327 +#6662 := (or #6344 #6660) +#8339 := (or #4461 #6344 #6660) +#6541 := (+ #1449 #6538) +#6536 := (+ #6327 #6541) +#6542 := (<= #6536 0::int) +#6641 := (or #6542 #6540) +#6642 := (not #6641) +#6328 := (= #6327 #2233) +#6643 := (or #6328 #6642) +#8314 := (or #4461 #6643) +#8333 := (iff #8314 #8339) +#8281 := (or #4461 #6662) +#8343 := (iff #8281 #8339) +#8332 := [rewrite]: #8343 +#8341 := (iff #8314 #8281) +#6663 := (iff #6643 #6662) +#6661 := (iff #6642 #6660) +#6655 := (iff #6641 #6650) +#6649 := (or #6592 #6540) +#6653 := (iff #6649 #6650) +#6654 := [rewrite]: #6653 +#6651 := (iff #6641 #6649) +#6595 := (iff #6542 #6592) +#6544 := (+ #6327 #6538) +#6545 := (+ #1449 #6544) +#6562 := (<= #6545 0::int) +#6593 := (iff #6562 #6592) +#6594 := [rewrite]: #6593 +#6587 := (iff #6542 #6562) +#6546 := (= #6536 #6545) +#6561 := [rewrite]: #6546 +#6589 := [monotonicity #6561]: #6587 +#6596 := [trans #6589 #6594]: #6595 +#6652 := [monotonicity #6596]: #6651 +#6658 := [trans #6652 #6654]: #6655 +#6659 := [monotonicity #6658]: #6661 +#6383 := (iff #6328 #6344) +#6384 := [rewrite]: #6383 +#6664 := [monotonicity #6384 #6659]: #6663 +#8342 := [monotonicity #6664]: #8341 +#8334 := [trans #8342 #8332]: #8333 +#8340 := [quant-inst]: #8314 +#8335 := [mp #8340 #8334]: #8339 +#9350 := [unit-resolution #8335 #8574]: #6662 +#9351 := [unit-resolution #9350 #9349]: #6660 +#8327 := (or #6650 #8336) +#8352 := [def-axiom]: #8327 +#9346 := [unit-resolution #8352 #9351]: #8336 +#8360 := (not #6592) +#8348 := (or #6650 #8360) +#8353 := [def-axiom]: #8348 +#9352 := [unit-resolution #8353 #9351]: #8360 +#6607 := (or #6540 #6592 #6601) +#8318 := (or #4469 #6540 #6592 #6601) +#6556 := (+ #6555 #6435) +#6557 := (+ #144 #6556) +#6537 := (= #6557 0::int) +#6543 := (or #6542 #6540 #6537) +#8344 := (or #4469 #6543) +#8331 := (iff #8344 #8318) +#8349 := (or #4469 #6607) +#8330 := (iff #8349 #8318) +#8325 := [rewrite]: #8330 +#8328 := (iff #8344 #8349) +#6578 := (iff #6543 #6607) +#6604 := (or #6592 #6540 #6601) +#6579 := (iff #6604 #6607) +#6580 := [rewrite]: #6579 +#6605 := (iff #6543 #6604) +#6602 := (iff #6537 #6601) +#6599 := (= #6557 #6598) +#6600 := [rewrite]: #6599 +#6603 := [monotonicity #6600]: #6602 +#6606 := [monotonicity #6596 #6603]: #6605 +#6581 := [trans #6606 #6580]: #6578 +#8329 := [monotonicity #6581]: #8328 +#8320 := [trans #8329 #8325]: #8331 +#8345 := [quant-inst]: #8344 +#8321 := [mp #8345 #8320]: #8318 +#9353 := [unit-resolution #8321 #7390]: #6607 +#9354 := [unit-resolution #9353 #9352 #9346]: #6601 +#9355 := (not #6601) +#9356 := (or #9355 #8322) +#9367 := [th-lemma]: #9356 +#9368 := [unit-resolution #9367 #9354]: #8322 +#9369 := [hypothesis]: #7864 +#4041 := (>= #108 0::int) +#9370 := (or #1854 #4041) +#9371 := [th-lemma]: #9370 +#9366 := [unit-resolution #9371 #7307]: #4041 +#8900 := (uf_1 #7128 ?x47!10) +#8901 := (uf_10 #8900) +#8908 := (* -1::int #8901) +#9307 := (+ #6555 #8908) +#9320 := (>= #9307 0::int) +#9304 := (= #6555 #8901) +#9374 := (= #8901 #6555) +#9372 := (= #8900 #6554) +#9373 := [monotonicity #8036]: #9372 +#9375 := [monotonicity #9373]: #9374 +#9376 := [symm #9375]: #9304 +#9382 := (not #9304) +#9383 := (or #9382 #9320) +#9432 := [th-lemma]: #9383 +#9433 := [unit-resolution #9432 #9376]: #9320 +#9287 := (>= #8901 0::int) +#9080 := (<= #8901 0::int) +#9207 := (not #9080) +#8373 := (= ?x47!10 #7128) +#8730 := (not #8373) +#6710 := (uf_6 uf_15 ?x47!10) +#6711 := (= uf_8 #6710) +#8599 := (ite #8373 #5314 #6711) +#8729 := (not #8599) +#7658 := (uf_6 #7203 ?x47!10) +#8338 := (= uf_8 #7658) +#8700 := (iff #8338 #8599) +#8684 := (or #7026 #8700) +#7640 := (ite #8373 #6089 #6711) +#7653 := (= #7658 uf_8) +#8337 := (iff #7653 #7640) +#8723 := (or #7026 #8337) +#8725 := (iff #8723 #8684) +#8726 := (iff #8684 #8684) +#8722 := [rewrite]: #8726 +#8682 := (iff #8337 #8700) +#8326 := (iff #7640 #8599) +#8600 := [monotonicity #6102]: #8326 +#8410 := (iff #7653 #8338) +#8521 := [rewrite]: #8410 +#8683 := [monotonicity #8521 #8600]: #8682 +#8720 := [monotonicity #8683]: #8725 +#8727 := [trans #8720 #8722]: #8725 +#8724 := [quant-inst]: #8723 +#8728 := [mp #8724 #8727]: #8684 +#9434 := [unit-resolution #8728 #4320]: #8700 +#8895 := (not #8338) +#6323 := (uf_6 uf_17 ?x47!10) +#6325 := (= uf_8 #6323) +#6326 := (not #6325) +#9431 := (iff #6326 #8895) +#9429 := (iff #6325 #8338) +#9427 := (iff #8338 #6325) +#9426 := (= #7658 #6323) +#9421 := [monotonicity #8591]: #9426 +#9428 := [monotonicity #9421]: #9427 +#9430 := [symm #9428]: #9429 +#9460 := [monotonicity #9430]: #9431 +#6382 := (or #6326 #6344) +#8268 := (or #4486 #6326 #6344) +#6343 := (or #6328 #6326) +#8269 := (or #4486 #6343) +#8297 := (iff #8269 #8268) +#8294 := (or #4486 #6382) +#8296 := (iff #8294 #8268) +#8283 := [rewrite]: #8296 +#8284 := (iff #8269 #8294) +#6390 := (iff #6343 #6382) +#6385 := (or #6344 #6326) +#6388 := (iff #6385 #6382) +#6389 := [rewrite]: #6388 +#6386 := (iff #6343 #6385) +#6387 := [monotonicity #6384]: #6386 +#6391 := [trans #6387 #6389]: #6390 +#8295 := [monotonicity #6391]: #8284 +#8298 := [trans #8295 #8283]: #8297 +#8293 := [quant-inst]: #8269 +#8299 := [mp #8293 #8298]: #8268 +#9424 := [unit-resolution #8299 #9423]: #6382 +#9425 := [unit-resolution #9424 #9349]: #6326 +#9461 := [mp #9425 #9460]: #8895 +#8917 := (not #8700) +#8920 := (or #8917 #8338 #8729) +#8894 := [def-axiom]: #8920 +#9462 := [unit-resolution #8894 #9461 #9434]: #8729 +#9463 := (or #8599 #8730) +#7040 := (not #5314) +#8907 := (or #8599 #8730 #7040) +#8910 := [def-axiom]: #8907 +#9464 := [unit-resolution #8910 #8579]: #9463 +#9459 := [unit-resolution #9464 #9462]: #8730 +#9206 := (or #8373 #9207) +#9214 := (or #7093 #8373 #9207) +#9208 := (= #7128 ?x47!10) +#9209 := (or #9208 #9207) +#9215 := (or #7093 #9209) +#9241 := (iff #9215 #9214) +#9242 := (or #7093 #9206) +#9245 := (iff #9242 #9214) +#9246 := [rewrite]: #9245 +#9243 := (iff #9215 #9242) +#9212 := (iff #9209 #9206) +#9210 := (iff #9208 #8373) +#9211 := [rewrite]: #9210 +#9213 := [monotonicity #9211]: #9212 +#9244 := [monotonicity #9213]: #9243 +#9247 := [trans #9244 #9246]: #9241 +#9216 := [quant-inst]: #9215 +#9248 := [mp #9216 #9247]: #9214 +#9465 := [unit-resolution #9248 #4347]: #9206 +#9466 := [unit-resolution #9465 #9459]: #9207 +#9467 := (or #9287 #9080) +#9468 := [th-lemma]: #9467 +#9469 := [unit-resolution #9468 #9466]: #9287 +#9538 := [th-lemma #9321 #9469 #9433 #9366 #9369 #9368]: false +#9541 := [lemma #9538]: #9540 +#29775 := [unit-resolution #9541 #12311]: #2234 +#4222 := (or #4571 #4565) +#4223 := [def-axiom]: #4222 +#25326 := [unit-resolution #4223 #9422]: #4565 +#25357 := (or #4568 #4562) +#6056 := (= #108 #172) +#25354 := (iff #6056 #173) +#25353 := [commutativity]: #1490 +#25351 := (iff #6056 #645) +#25352 := [monotonicity #7307]: #25351 +#25355 := [trans #25352 #25353]: #25354 +#6015 := (uf_10 #6008) +#6019 := (* -1::int #6015) +#6022 := (+ #1449 #6019) +#6023 := (+ #108 #6022) +#6024 := (<= #6023 0::int) +#6020 := (+ uf_9 #6019) +#6021 := (<= #6020 0::int) +#6058 := (or #6021 #6024) +#7125 := (>= #6015 0::int) +#7105 := (= #6015 0::int) +#7087 := (<= #6015 0::int) +#4062 := (not #6024) +#7293 := [hypothesis]: #4062 +#7312 := (or #7087 #6024) +#7088 := (not #7087) +#7292 := [hypothesis]: #7088 +#6001 := (>= #144 0::int) +#7016 := (or #4409 #6001) +#7017 := [quant-inst]: #7016 +#7306 := [unit-resolution #7017 #7305]: #6001 +#7311 := [th-lemma #7310 #7306 #7293 #7292]: false +#7313 := [lemma #7311]: #7312 +#7186 := [unit-resolution #7313 #7293]: #7087 +#7090 := (or #5947 #7088) +#7094 := (or #7093 #5947 #7088) +#7089 := (or #5945 #7088) +#7095 := (or #7093 #7089) +#7102 := (iff #7095 #7094) +#7097 := (or #7093 #7090) +#7100 := (iff #7097 #7094) +#7101 := [rewrite]: #7100 +#7098 := (iff #7095 #7097) +#7091 := (iff #7089 #7090) +#7092 := [monotonicity #5949]: #7091 +#7099 := [monotonicity #7092]: #7098 +#7103 := [trans #7099 #7101]: #7102 +#7096 := [quant-inst]: #7095 +#7104 := [mp #7096 #7103]: #7094 +#7187 := [unit-resolution #7104 #4347]: #7090 +#7182 := [unit-resolution #7187 #7186]: #5947 +#7108 := (not #5947) +#7111 := (or #7108 #7105) +#7114 := (or #6863 #7108 #7105) +#7106 := (not #5945) +#7107 := (or #7106 #7105) +#7115 := (or #6863 #7107) +#7122 := (iff #7115 #7114) +#7117 := (or #6863 #7111) +#7120 := (iff #7117 #7114) +#7121 := [rewrite]: #7120 +#7118 := (iff #7115 #7117) +#7112 := (iff #7107 #7111) +#7109 := (iff #7106 #7108) +#7110 := [monotonicity #5949]: #7109 +#7113 := [monotonicity #7110]: #7112 +#7119 := [monotonicity #7113]: #7118 +#7123 := [trans #7119 #7121]: #7122 +#7116 := [quant-inst]: #7115 +#7124 := [mp #7116 #7123]: #7114 +#7188 := [unit-resolution #7124 #4341]: #7111 +#7189 := [unit-resolution #7188 #7182]: #7105 +#7190 := (not #7105) +#7191 := (or #7190 #7125) +#7192 := [th-lemma]: #7191 +#7196 := [unit-resolution #7192 #7189]: #7125 +#7197 := [th-lemma #7310 #7306 #7293 #7196]: false +#7195 := [lemma #7197]: #6024 +#5757 := (or #6058 #4062) +#5573 := [def-axiom]: #5757 +#25327 := [unit-resolution #5573 #7195]: #6058 +#6061 := (not #6058) +#6064 := (or #6056 #6061) +#6681 := (or #4461 #6056 #6061) +#6054 := (or #6024 #6021) +#6055 := (not #6054) +#6057 := (or #6056 #6055) +#6682 := (or #4461 #6057) +#6844 := (iff #6682 #6681) +#6138 := (or #4461 #6064) +#6392 := (iff #6138 #6681) +#6683 := [rewrite]: #6392 +#6118 := (iff #6682 #6138) +#6065 := (iff #6057 #6064) +#6062 := (iff #6055 #6061) +#6059 := (iff #6054 #6058) +#6060 := [rewrite]: #6059 +#6063 := [monotonicity #6060]: #6062 +#6066 := [monotonicity #6063]: #6065 +#6735 := [monotonicity #6066]: #6118 +#6845 := [trans #6735 #6683]: #6844 +#6137 := [quant-inst]: #6682 +#6878 := [mp #6137 #6845]: #6681 +#25328 := [unit-resolution #6878 #8574]: #6064 +#25329 := [unit-resolution #25328 #25327]: #6056 +#25356 := [mp #25329 #25355]: #173 +#4237 := (or #4568 #1492 #4562) +#4066 := [def-axiom]: #4237 +#25358 := [unit-resolution #4066 #25356]: #25357 +#25359 := [unit-resolution #25358 #25326]: #4562 +#4232 := (or #4559 #4553) +#4233 := [def-axiom]: #4232 +#25339 := [unit-resolution #4233 #25359]: #4553 +#4087 := (or #4556 #2235 #4550) +#4088 := [def-axiom]: #4087 +#25340 := [unit-resolution #4088 #25339]: #4553 +#29776 := [unit-resolution #25340 #29775]: #4550 +#4242 := (or #4547 #4541) +#4243 := [def-axiom]: #4242 +#29777 := [unit-resolution #4243 #29776]: #4541 +#25343 := (or #4544 #4538) +#12812 := (= #2249 #5856) +#12998 := (= ?x48!12 uf_16) +#10849 := (= ?x48!12 #7128) +#10847 := (uf_6 uf_15 ?x48!12) +#10848 := (= uf_8 #10847) +#10857 := (ite #10849 #5314 #10848) +#10851 := (uf_6 #7203 ?x48!12) +#10854 := (= uf_8 #10851) +#10860 := (iff #10854 #10857) +#12152 := (or #7026 #10860) +#10850 := (ite #10849 #6089 #10848) +#10852 := (= #10851 uf_8) +#10853 := (iff #10852 #10850) +#12155 := (or #7026 #10853) +#10823 := (iff #12155 #12152) +#10879 := (iff #12152 #12152) +#10880 := [rewrite]: #10879 +#10861 := (iff #10853 #10860) +#10858 := (iff #10850 #10857) +#10859 := [monotonicity #6102]: #10858 +#10855 := (iff #10852 #10854) +#10856 := [rewrite]: #10855 +#10862 := [monotonicity #10856 #10859]: #10861 +#10824 := [monotonicity #10862]: #10823 +#11111 := [trans #10824 #10880]: #10823 +#12156 := [quant-inst]: #12155 +#11091 := [mp #12156 #11111]: #12152 +#13286 := [unit-resolution #11091 #4320]: #10860 +#12615 := (= #2254 #10851) +#12608 := (= #10851 #2254) +#12613 := [monotonicity #8591]: #12608 +#12730 := [symm #12613]: #12615 +#12965 := [hypothesis]: #3403 +#3920 := (or #3398 #2255) +#4261 := [def-axiom]: #3920 +#12611 := [unit-resolution #4261 #12965]: #2255 +#13209 := [trans #12611 #12730]: #10854 +#11918 := (not #10854) +#10920 := (not #10860) +#11919 := (or #10920 #11918 #10857) +#12057 := [def-axiom]: #11919 +#13217 := [unit-resolution #12057 #13209 #13286]: #10857 +#10236 := (not #10848) +#11183 := (uf_4 uf_14 ?x48!12) +#11200 := (* -1::int #11183) +#13667 := (+ #7168 #11200) +#13668 := (>= #13667 0::int) +#13764 := (not #13668) +#12813 := (+ #2249 #5902) +#12814 := (<= #12813 0::int) +#13407 := (not #12814) +#11572 := (uf_4 uf_14 ?x49!11) +#11589 := (* -1::int #11572) +#11709 := (+ #144 #11589) +#11710 := (<= #11709 0::int) +#11467 := (uf_6 uf_15 ?x49!11) +#11468 := (= uf_8 #11467) +#12026 := (not #11468) +#11469 := (= ?x49!11 #7128) +#11477 := (ite #11469 #5314 #11468) +#12038 := (not #11477) +#11471 := (uf_6 #7203 ?x49!11) +#11474 := (= uf_8 #11471) +#11480 := (iff #11474 #11477) +#12030 := (or #7026 #11480) +#11470 := (ite #11469 #6089 #11468) +#11472 := (= #11471 uf_8) +#11473 := (iff #11472 #11470) +#12028 := (or #7026 #11473) +#12024 := (iff #12028 #12030) +#12033 := (iff #12030 #12030) +#12035 := [rewrite]: #12033 +#11481 := (iff #11473 #11480) +#11478 := (iff #11470 #11477) +#11479 := [monotonicity #6102]: #11478 +#11475 := (iff #11472 #11474) +#11476 := [rewrite]: #11475 +#11482 := [monotonicity #11476 #11479]: #11481 +#12032 := [monotonicity #11482]: #12024 +#12036 := [trans #12032 #12035]: #12024 +#12031 := [quant-inst]: #12028 +#12034 := [mp #12031 #12036]: #12030 +#13262 := [unit-resolution #12034 #4320]: #11480 +#12051 := (not #11474) +#13387 := (iff #2258 #12051) +#13353 := (iff #2257 #11474) +#12939 := (iff #11474 #2257) +#13219 := (= #11471 #2256) +#13243 := [monotonicity #8591]: #13219 +#13039 := [monotonicity #13243]: #12939 +#13377 := [symm #13039]: #13353 +#13388 := [monotonicity #13377]: #13387 +#3924 := (or #3398 #2258) +#3925 := [def-axiom]: #3924 +#12937 := [unit-resolution #3925 #12965]: #2258 +#12543 := [mp #12937 #13388]: #12051 +#12047 := (not #11480) +#12048 := (or #12047 #11474 #12038) +#12050 := [def-axiom]: #12048 +#12544 := [unit-resolution #12050 #12543 #13262]: #12038 +#12039 := (not #11469) +#12539 := (or #11477 #12039) +#12042 := (or #11477 #12039 #7040) +#12043 := [def-axiom]: #12042 +#12545 := [unit-resolution #12043 #8579]: #12539 +#12546 := [unit-resolution #12545 #12544]: #12039 +#12044 := (or #11477 #11469 #12026) +#12045 := [def-axiom]: #12044 +#12548 := [unit-resolution #12045 #12546 #12544]: #12026 +#11715 := (or #11468 #11710) +#4217 := (or #4595 #4446) +#4221 := [def-axiom]: #4217 +#12574 := [unit-resolution #4221 #7389]: #4446 +#12438 := (or #4451 #11468 #11710) +#11700 := (+ #11572 #1449) +#11701 := (>= #11700 0::int) +#11702 := (or #11468 #11701) +#12444 := (or #4451 #11702) +#12454 := (iff #12444 #12438) +#12448 := (or #4451 #11715) +#12452 := (iff #12448 #12438) +#12453 := [rewrite]: #12452 +#12450 := (iff #12444 #12448) +#11716 := (iff #11702 #11715) +#11713 := (iff #11701 #11710) +#11703 := (+ #1449 #11572) +#11706 := (>= #11703 0::int) +#11711 := (iff #11706 #11710) +#11712 := [rewrite]: #11711 +#11707 := (iff #11701 #11706) +#11704 := (= #11700 #11703) +#11705 := [rewrite]: #11704 +#11708 := [monotonicity #11705]: #11707 +#11714 := [trans #11708 #11712]: #11713 +#11717 := [monotonicity #11714]: #11716 +#12451 := [monotonicity #11717]: #12450 +#12449 := [trans #12451 #12453]: #12454 +#12447 := [quant-inst]: #12444 +#12455 := [mp #12447 #12449]: #12438 +#12575 := [unit-resolution #12455 #12574]: #11715 +#12576 := [unit-resolution #12575 #12548]: #11710 +#3926 := (not #2855) +#3927 := (or #3398 #3926) +#4263 := [def-axiom]: #3927 +#12577 := [unit-resolution #4263 #12965]: #3926 +#13397 := (not #11710) +#12612 := (or #13407 #2855 #11469 #13397) +#11605 := (uf_1 uf_16 ?x49!11) +#11606 := (uf_10 #11605) +#11631 := (+ #2853 #11606) +#11632 := (+ #144 #11631) +#12233 := (<= #11632 0::int) +#11635 := (= #11632 0::int) +#11610 := (* -1::int #11606) +#11611 := (+ uf_9 #11610) +#11612 := (<= #11611 0::int) +#12253 := (not #11612) +#11624 := (+ #11589 #11606) +#11625 := (+ #144 #11624) +#11626 := (>= #11625 0::int) +#11669 := (or #11612 #11626) +#11674 := (not #11669) +#11663 := (= #2251 #11572) +#13437 := (not #11663) +#11590 := (+ #2251 #11589) +#12252 := (>= #11590 0::int) +#13367 := (not #12252) +#13284 := [hypothesis]: #11710 +#13478 := [hypothesis]: #3926 +#13215 := [hypothesis]: #12814 +#13389 := (or #13367 #13397 #2855 #13407 #13409) +#13410 := [th-lemma]: #13389 +#13436 := [unit-resolution #13410 #13215 #13478 #13284 #12934]: #13367 +#13434 := (or #13437 #12252) +#12573 := [th-lemma]: #13434 +#13419 := [unit-resolution #12573 #13436]: #13437 +#11677 := (or #11663 #11674) +#12241 := (or #4461 #11663 #11674) +#11613 := (+ #1449 #11610) +#11614 := (+ #11572 #11613) +#11615 := (<= #11614 0::int) +#11659 := (or #11615 #11612) +#11660 := (not #11659) +#11661 := (= #11572 #2251) +#11662 := (or #11661 #11660) +#12242 := (or #4461 #11662) +#12249 := (iff #12242 #12241) +#12245 := (or #4461 #11677) +#12247 := (iff #12245 #12241) +#12248 := [rewrite]: #12247 +#12239 := (iff #12242 #12245) +#11678 := (iff #11662 #11677) +#11675 := (iff #11660 #11674) +#11672 := (iff #11659 #11669) +#11666 := (or #11626 #11612) +#11670 := (iff #11666 #11669) +#11671 := [rewrite]: #11670 +#11667 := (iff #11659 #11666) +#11629 := (iff #11615 #11626) +#11617 := (+ #11572 #11610) +#11618 := (+ #1449 #11617) +#11621 := (<= #11618 0::int) +#11627 := (iff #11621 #11626) +#11628 := [rewrite]: #11627 +#11622 := (iff #11615 #11621) +#11619 := (= #11614 #11618) +#11620 := [rewrite]: #11619 +#11623 := [monotonicity #11620]: #11622 +#11630 := [trans #11623 #11628]: #11629 +#11668 := [monotonicity #11630]: #11667 +#11673 := [trans #11668 #11671]: #11672 +#11676 := [monotonicity #11673]: #11675 +#11664 := (iff #11661 #11663) +#11665 := [rewrite]: #11664 +#11679 := [monotonicity #11665 #11676]: #11678 +#12246 := [monotonicity #11679]: #12239 +#12244 := [trans #12246 #12248]: #12249 +#12243 := [quant-inst]: #12242 +#12251 := [mp #12243 #12244]: #12241 +#13417 := [unit-resolution #12251 #8574]: #11677 +#13423 := [unit-resolution #13417 #13419]: #11674 +#12254 := (or #11669 #12253) +#12258 := [def-axiom]: #12254 +#13426 := [unit-resolution #12258 #13423]: #12253 +#12250 := (not #11626) +#12259 := (or #11669 #12250) +#12257 := [def-axiom]: #12259 +#13412 := [unit-resolution #12257 #13423]: #12250 +#11641 := (or #11612 #11626 #11635) +#12229 := (or #4469 #11612 #11626 #11635) +#11607 := (+ #11606 #2853) +#11608 := (+ #144 #11607) +#11609 := (= #11608 0::int) +#11616 := (or #11615 #11612 #11609) +#12222 := (or #4469 #11616) +#12236 := (iff #12222 #12229) +#12231 := (or #4469 #11641) +#12227 := (iff #12231 #12229) +#12235 := [rewrite]: #12227 +#12232 := (iff #12222 #12231) +#11644 := (iff #11616 #11641) +#11638 := (or #11626 #11612 #11635) +#11642 := (iff #11638 #11641) +#11643 := [rewrite]: #11642 +#11639 := (iff #11616 #11638) +#11636 := (iff #11609 #11635) +#11633 := (= #11608 #11632) +#11634 := [rewrite]: #11633 +#11637 := [monotonicity #11634]: #11636 +#11640 := [monotonicity #11630 #11637]: #11639 +#11645 := [trans #11640 #11643]: #11644 +#12234 := [monotonicity #11645]: #12232 +#12237 := [trans #12234 #12235]: #12236 +#12230 := [quant-inst]: #12222 +#12238 := [mp #12230 #12237]: #12229 +#13413 := [unit-resolution #12238 #7390]: #11641 +#13433 := [unit-resolution #13413 #13412 #13426]: #11635 +#13370 := (not #11635) +#13390 := (or #13370 #12233) +#13391 := [th-lemma]: #13390 +#13385 := [unit-resolution #13391 #13433]: #12233 +#12787 := (uf_1 #7128 ?x49!11) +#12788 := (uf_10 #12787) +#12790 := (* -1::int #12788) +#13285 := (+ #11606 #12790) +#13280 := (>= #13285 0::int) +#13216 := (= #11606 #12788) +#12644 := (= #12788 #11606) +#12645 := (= #12787 #11605) +#13418 := [monotonicity #8036]: #12645 +#12646 := [monotonicity #13418]: #12644 +#12578 := [symm #12646]: #13216 +#12641 := (not #13216) +#12647 := (or #12641 #13280) +#12643 := [th-lemma]: #12647 +#12582 := [unit-resolution #12643 #12578]: #13280 +#13068 := (<= #12788 0::int) +#13063 := (not #13068) +#12581 := [hypothesis]: #12039 +#13211 := (or #7093 #11469 #13063) +#12936 := (= #7128 ?x49!11) +#13162 := (or #12936 #13063) +#13263 := (or #7093 #13162) +#13354 := (iff #13263 #13211) +#13255 := (or #11469 #13063) +#13161 := (or #7093 #13255) +#13351 := (iff #13161 #13211) +#13352 := [rewrite]: #13351 +#13071 := (iff #13263 #13161) +#13069 := (iff #13162 #13255) +#13204 := (iff #12936 #11469) +#13265 := [rewrite]: #13204 +#13210 := [monotonicity #13265]: #13069 +#13163 := [monotonicity #13210]: #13071 +#13067 := [trans #13163 #13352]: #13354 +#13160 := [quant-inst]: #13263 +#13355 := [mp #13160 #13067]: #13211 +#12609 := [unit-resolution #13355 #4347 #12581]: #13063 +#12610 := [th-lemma #13478 #13215 #12934 #12609 #12582 #13385]: false +#12583 := [lemma #12610]: #12612 +#12780 := [unit-resolution #12583 #12577 #12546 #12576]: #13407 +#11201 := (+ #2249 #11200) +#11202 := (<= #11201 0::int) +#12087 := (or #4477 #11202) +#11190 := (+ #11183 #2250) +#11193 := (>= #11190 0::int) +#12088 := (or #4477 #11193) +#12090 := (iff #12088 #12087) +#12092 := (iff #12087 #12087) +#12093 := [rewrite]: #12092 +#11205 := (iff #11193 #11202) +#11194 := (+ #2250 #11183) +#11197 := (>= #11194 0::int) +#11203 := (iff #11197 #11202) +#11204 := [rewrite]: #11203 +#11198 := (iff #11193 #11197) +#11195 := (= #11190 #11194) +#11196 := [rewrite]: #11195 +#11199 := [monotonicity #11196]: #11198 +#11206 := [trans #11199 #11204]: #11205 +#12091 := [monotonicity #11206]: #12090 +#12095 := [trans #12091 #12093]: #12090 +#12085 := [quant-inst]: #12088 +#12097 := [mp #12085 #12095]: #12087 +#13218 := [unit-resolution #12097 #14110]: #11202 +#12617 := (not #11202) +#12729 := (not #7572) +#12728 := (or #13764 #12729 #12814 #12617 #12642) +#12733 := [th-lemma]: #12728 +#12616 := [unit-resolution #12733 #13218 #9185 #14101 #12780]: #13764 +#13844 := (or #10236 #13668) +#13842 := [hypothesis]: #13764 +#13843 := [hypothesis]: #10848 +#13801 := (or #4426 #7247 #10236 #13668) +#13669 := (or #10236 #7247 #13668) +#13802 := (or #4426 #13669) +#13788 := (iff #13802 #13801) +#13670 := (or #7247 #10236 #13668) +#13804 := (or #4426 #13670) +#13786 := (iff #13804 #13801) +#13787 := [rewrite]: #13786 +#13805 := (iff #13802 #13804) +#13665 := (iff #13669 #13670) +#13671 := [rewrite]: #13665 +#13806 := [monotonicity #13671]: #13805 +#13789 := [trans #13806 #13787]: #13788 +#13803 := [quant-inst]: #13802 +#13790 := [mp #13803 #13789]: #13801 +#13838 := [unit-resolution #13790 #9153 #9152 #13843 #13842]: false +#13845 := [lemma #13838]: #13844 +#12734 := [unit-resolution #13845 #12616]: #10236 +#11030 := (not #10857) +#11307 := (or #11030 #10849 #10848) +#11294 := [def-axiom]: #11307 +#12742 := [unit-resolution #11294 #12734 #13217]: #10849 +#12732 := [trans #12742 #8036]: #12998 +#12743 := [monotonicity #12732]: #12812 +#12969 := (not #12812) +#12967 := (or #12969 #12814) +#12973 := [th-lemma]: #12967 +#12786 := [unit-resolution #12973 #12780]: #12969 +#12771 := [unit-resolution #12786 #12743]: false +#12735 := [lemma #12771]: #3398 +#4251 := (or #4544 #3403 #4538) +#4248 := [def-axiom]: #4251 +#25338 := [unit-resolution #4248 #12735]: #25343 +#29778 := [unit-resolution #25338 #29777]: #4538 +#3968 := (or #4535 #4529) +#3969 := [def-axiom]: #3968 +#29779 := [unit-resolution #3969 #29778]: #4529 +#25346 := (or #4532 #4526) +#17148 := [hypothesis]: #3449 +#4266 := (or #3444 #2287) +#4267 := [def-axiom]: #4266 +#17149 := [unit-resolution #4267 #17148]: #2287 +#9931 := (uf_1 uf_16 ?x50!14) +#9932 := (uf_10 #9931) +#9936 := (* -1::int #9932) +#17081 := (+ #2281 #9936) +#17083 := (>= #17081 0::int) +#17080 := (= #2281 #9932) +#17180 := (= #2280 #9931) +#17179 := (= ?x51!13 uf_16) +#10336 := (= ?x51!13 #7128) +#10334 := (uf_6 uf_15 ?x51!13) +#10335 := (= uf_8 #10334) +#10367 := (not #10335) +#10193 := (uf_4 uf_14 ?x51!13) +#9874 := (uf_4 uf_14 ?x50!14) +#9915 := (* -1::int #9874) +#10384 := (+ #9915 #10193) +#10385 := (+ #2281 #10384) +#10388 := (>= #10385 0::int) +#17156 := (not #10388) +#9916 := (+ #2276 #9915) +#9917 := (<= #9916 0::int) +#16708 := (or #4477 #9917) +#9907 := (+ #9874 #2277) +#9908 := (>= #9907 0::int) +#16709 := (or #4477 #9908) +#16711 := (iff #16709 #16708) +#16713 := (iff #16708 #16708) +#16714 := [rewrite]: #16713 +#9920 := (iff #9908 #9917) +#9909 := (+ #2277 #9874) +#9912 := (>= #9909 0::int) +#9918 := (iff #9912 #9917) +#9919 := [rewrite]: #9918 +#9913 := (iff #9908 #9912) +#9910 := (= #9907 #9909) +#9911 := [rewrite]: #9910 +#9914 := [monotonicity #9911]: #9913 +#9921 := [trans #9914 #9919]: #9920 +#16712 := [monotonicity #9921]: #16711 +#16715 := [trans #16712 #16714]: #16711 +#16710 := [quant-inst]: #16709 +#16716 := [mp #16710 #16715]: #16708 +#17308 := [unit-resolution #16716 #14110]: #9917 +#3906 := (not #2882) +#4269 := (or #3444 #3906) +#4271 := [def-axiom]: #4269 +#17151 := [unit-resolution #4271 #17148]: #3906 +#10228 := (* -1::int #10193) +#10229 := (+ #2278 #10228) +#15878 := (>= #10229 0::int) +#10198 := (= #2278 #10193) +#4262 := (or #3444 #2289) +#4268 := [def-axiom]: #4262 +#17152 := [unit-resolution #4268 #17148]: #2289 +#16493 := (or #4486 #3429 #10198) +#10194 := (= #10193 #2278) +#10197 := (or #10194 #3429) +#16494 := (or #4486 #10197) +#16503 := (iff #16494 #16493) +#10204 := (or #3429 #10198) +#16498 := (or #4486 #10204) +#16501 := (iff #16498 #16493) +#16502 := [rewrite]: #16501 +#16499 := (iff #16494 #16498) +#10207 := (iff #10197 #10204) +#10201 := (or #10198 #3429) +#10205 := (iff #10201 #10204) +#10206 := [rewrite]: #10205 +#10202 := (iff #10197 #10201) +#10199 := (iff #10194 #10198) +#10200 := [rewrite]: #10199 +#10203 := [monotonicity #10200]: #10202 +#10208 := [trans #10203 #10206]: #10207 +#16500 := [monotonicity #10208]: #16499 +#16504 := [trans #16500 #16502]: #16503 +#16497 := [quant-inst]: #16494 +#16505 := [mp #16497 #16504]: #16493 +#17150 := [unit-resolution #16505 #9423 #17152]: #10198 +#17153 := (not #10198) +#17154 := (or #17153 #15878) +#17155 := [th-lemma]: #17154 +#17147 := [unit-resolution #17155 #17150]: #15878 +#17313 := (not #9917) +#17315 := (not #15878) +#17157 := (or #17156 #17315 #17313 #2882) +#17158 := [th-lemma]: #17157 +#17159 := [unit-resolution #17158 #17147 #17151 #17308]: #17156 +#17146 := (or #10367 #10388) +#16749 := (or #4417 #2286 #10367 #10388) +#10380 := (+ #10193 #9915) +#10381 := (+ #2281 #10380) +#10382 := (>= #10381 0::int) +#10383 := (or #10367 #2286 #10382) +#16750 := (or #4417 #10383) +#16757 := (iff #16750 #16749) +#10394 := (or #2286 #10367 #10388) +#16752 := (or #4417 #10394) +#16755 := (iff #16752 #16749) +#16756 := [rewrite]: #16755 +#16753 := (iff #16750 #16752) +#10397 := (iff #10383 #10394) +#10391 := (or #10367 #2286 #10388) +#10395 := (iff #10391 #10394) +#10396 := [rewrite]: #10395 +#10392 := (iff #10383 #10391) +#10389 := (iff #10382 #10388) +#10386 := (= #10381 #10385) +#10387 := [rewrite]: #10386 +#10390 := [monotonicity #10387]: #10389 +#10393 := [monotonicity #10390]: #10392 +#10398 := [trans #10393 #10396]: #10397 +#16754 := [monotonicity #10398]: #16753 +#16758 := [trans #16754 #16756]: #16757 +#16751 := [quant-inst]: #16750 +#16759 := [mp #16751 #16758]: #16749 +#17160 := [unit-resolution #16759 #8027 #17149]: #17146 +#17161 := [unit-resolution #17160 #17159]: #10367 +#10344 := (ite #10336 #5314 #10335) +#10338 := (uf_6 #7203 ?x51!13) +#10341 := (= uf_8 #10338) +#10347 := (iff #10341 #10344) +#16506 := (or #7026 #10347) +#10337 := (ite #10336 #6089 #10335) +#10339 := (= #10338 uf_8) +#10340 := (iff #10339 #10337) +#16507 := (or #7026 #10340) +#16509 := (iff #16507 #16506) +#16511 := (iff #16506 #16506) +#16512 := [rewrite]: #16511 +#10348 := (iff #10340 #10347) +#10345 := (iff #10337 #10344) +#10346 := [monotonicity #6102]: #10345 +#10342 := (iff #10339 #10341) +#10343 := [rewrite]: #10342 +#10349 := [monotonicity #10343 #10346]: #10348 +#16510 := [monotonicity #10349]: #16509 +#16513 := [trans #16510 #16512]: #16509 +#16508 := [quant-inst]: #16507 +#16514 := [mp #16508 #16513]: #16506 +#17162 := [unit-resolution #16514 #4320]: #10347 +#17171 := (= #2288 #10338) +#17163 := (= #10338 #2288) +#17164 := [monotonicity #8591]: #17163 +#17174 := [symm #17164]: #17171 +#17175 := [trans #17152 #17174]: #10341 +#16528 := (not #10341) +#16525 := (not #10347) +#16529 := (or #16525 #16528 #10344) +#16530 := [def-axiom]: #16529 +#17176 := [unit-resolution #16530 #17175 #17162]: #10344 +#16515 := (not #10344) +#16519 := (or #16515 #10336 #10335) +#16520 := [def-axiom]: #16519 +#17178 := [unit-resolution #16520 #17176 #17161]: #10336 +#17177 := [trans #17178 #8036]: #17179 +#17181 := [monotonicity #17177]: #17180 +#17182 := [monotonicity #17181]: #17080 +#17187 := (not #17080) +#17188 := (or #17187 #17083) +#17186 := [th-lemma]: #17188 +#17189 := [unit-resolution #17186 #17182]: #17083 +#9937 := (+ uf_9 #9936) +#9938 := (<= #9937 0::int) +#9950 := (+ #9915 #9932) +#9951 := (+ #144 #9950) +#9952 := (>= #9951 0::int) +#16744 := (not #9952) +#10475 := (uf_2 #2280) +#11002 := (uf_4 uf_14 #10475) +#11016 := (* -1::int #11002) +#16798 := (+ #10193 #11016) +#16800 := (>= #16798 0::int) +#16797 := (= #10193 #11002) +#10476 := (= ?x51!13 #10475) +#16793 := (or #7136 #10476) +#16794 := [quant-inst]: #16793 +#17292 := [unit-resolution #16794 #4306]: #10476 +#17295 := [monotonicity #17292]: #16797 +#17296 := (not #16797) +#17297 := (or #17296 #16800) +#17298 := [th-lemma]: #17297 +#17299 := [unit-resolution #17298 #17295]: #16800 +#11017 := (+ #144 #11016) +#11018 := (<= #11017 0::int) +#17065 := (= #144 #11002) +#17202 := (= #11002 #144) +#17194 := (= #10475 uf_16) +#17192 := (= #10475 #7128) +#17190 := (= #10475 ?x51!13) +#17191 := [symm #17292]: #17190 +#17193 := [trans #17191 #17178]: #17192 +#17195 := [trans #17193 #8036]: #17194 +#17203 := [monotonicity #17195]: #17202 +#17204 := [symm #17203]: #17065 +#17205 := (not #17065) +#17206 := (or #17205 #11018) +#17201 := [th-lemma]: #17206 +#17207 := [unit-resolution #17201 #17204]: #11018 +#17316 := (not #11018) +#17314 := (not #16800) +#17208 := (not #17083) +#17209 := (or #16744 #17208 #17313 #2882 #17314 #17315 #17316) +#17210 := [th-lemma]: #17209 +#17211 := [unit-resolution #17210 #17207 #17308 #17147 #17151 #17299 #17189]: #16744 +#9957 := (+ #2277 #9932) +#9958 := (+ #144 #9957) +#9961 := (= #9958 0::int) +#17223 := (not #9961) +#16729 := (>= #9958 0::int) +#17219 := (not #16729) +#17220 := (or #17219 #17208 #2882 #17314 #17315 #17316) +#17221 := [th-lemma]: #17220 +#17222 := [unit-resolution #17221 #17207 #17147 #17151 #17299 #17189]: #17219 +#17218 := (or #17223 #16729) +#17224 := [th-lemma]: #17218 +#17225 := [unit-resolution #17224 #17222]: #17223 +#9967 := (or #9938 #9952 #9961) +#16717 := (or #4469 #9938 #9952 #9961) +#9933 := (+ #9932 #2277) +#9934 := (+ #144 #9933) +#9935 := (= #9934 0::int) +#9939 := (+ #1449 #9936) +#9940 := (+ #9874 #9939) +#9941 := (<= #9940 0::int) +#9942 := (or #9941 #9938 #9935) +#16718 := (or #4469 #9942) +#16725 := (iff #16718 #16717) +#16720 := (or #4469 #9967) +#16723 := (iff #16720 #16717) +#16724 := [rewrite]: #16723 +#16721 := (iff #16718 #16720) +#9970 := (iff #9942 #9967) +#9964 := (or #9952 #9938 #9961) +#9968 := (iff #9964 #9967) +#9969 := [rewrite]: #9968 +#9965 := (iff #9942 #9964) +#9962 := (iff #9935 #9961) +#9959 := (= #9934 #9958) +#9960 := [rewrite]: #9959 +#9963 := [monotonicity #9960]: #9962 +#9955 := (iff #9941 #9952) +#9943 := (+ #9874 #9936) +#9944 := (+ #1449 #9943) +#9947 := (<= #9944 0::int) +#9953 := (iff #9947 #9952) +#9954 := [rewrite]: #9953 +#9948 := (iff #9941 #9947) +#9945 := (= #9940 #9944) +#9946 := [rewrite]: #9945 +#9949 := [monotonicity #9946]: #9948 +#9956 := [trans #9949 #9954]: #9955 +#9966 := [monotonicity #9956 #9963]: #9965 +#9971 := [trans #9966 #9969]: #9970 +#16722 := [monotonicity #9971]: #16721 +#16726 := [trans #16722 #16724]: #16725 +#16719 := [quant-inst]: #16718 +#16727 := [mp #16719 #16726]: #16717 +#17226 := [unit-resolution #16727 #7390]: #9967 +#17227 := [unit-resolution #17226 #17225 #17211]: #9938 +#17228 := [th-lemma #17227 #17189 #17149]: false +#17253 := [lemma #17228]: #3444 +#4253 := (or #4532 #3449 #4526) +#4257 := [def-axiom]: #4253 +#25347 := [unit-resolution #4257 #17253]: #25346 +#29780 := [unit-resolution #25347 #29779]: #4526 +#3983 := (or #4523 #4515) +#3984 := [def-axiom]: #3983 +#29781 := [unit-resolution #3984 #29780]: #4515 +#20547 := (or #4520 #7166 #15518 #15538) +#15505 := (+ #2307 #15504) +#15506 := (+ #7167 #15505) +#15507 := (= #15506 0::int) +#15508 := (not #15507) +#15509 := (+ #7167 #2307) +#15510 := (>= #15509 0::int) +#15511 := (or #7166 #15510 #15508) +#17626 := (or #4520 #15511) +#20578 := (iff #17626 #20547) +#20549 := (or #4520 #15541) +#20516 := (iff #20549 #20547) +#20517 := [rewrite]: #20516 +#20386 := (iff #17626 #20549) +#15542 := (iff #15511 #15541) +#15539 := (iff #15508 #15538) +#15536 := (iff #15507 #15533) +#15523 := (+ #7167 #15504) +#15524 := (+ #2307 #15523) +#15527 := (= #15524 0::int) +#15534 := (iff #15527 #15533) +#15535 := [rewrite]: #15534 +#15528 := (iff #15507 #15527) +#15525 := (= #15506 #15524) +#15526 := [rewrite]: #15525 +#15529 := [monotonicity #15526]: #15528 +#15537 := [trans #15529 #15535]: #15536 +#15540 := [monotonicity #15537]: #15539 +#15521 := (iff #15510 #15518) +#15512 := (+ #2307 #7167) +#15515 := (>= #15512 0::int) +#15519 := (iff #15515 #15518) +#15520 := [rewrite]: #15519 +#15516 := (iff #15510 #15515) +#15513 := (= #15509 #15512) +#15514 := [rewrite]: #15513 +#15517 := [monotonicity #15514]: #15516 +#15522 := [trans #15517 #15520]: #15521 +#15543 := [monotonicity #15522 #15540]: #15542 +#20388 := [monotonicity #15543]: #20386 +#20485 := [trans #20388 #20517]: #20578 +#20612 := [quant-inst]: #17626 +#20795 := [mp #20612 #20485]: #20547 +#29782 := [unit-resolution #20795 #29781]: #15541 +#29783 := [unit-resolution #29782 #29774 #25367]: #15518 +#28771 := (<= #28711 0::int) +#28772 := (not #28771) +#28773 := (= #7128 #27533) +#29792 := (not #28773) +#28056 := (not #18779) +#29793 := (iff #28056 #29792) +#29790 := (iff #18779 #28773) +#29788 := (iff #28773 #18779) +#29785 := (iff #28773 #25219) +#29786 := [monotonicity #29764]: #29785 +#29789 := [trans #29786 #29787]: #29788 +#29791 := [symm #29789]: #29790 +#29794 := [monotonicity #29791]: #29793 +#29784 := [hypothesis]: #28056 +#29795 := [mp #29784 #29794]: #29792 +#28775 := (or #28772 #28773) +#29743 := (or #7093 #28772 #28773) +#28774 := (or #28773 #28772) +#29744 := (or #7093 #28774) +#29751 := (iff #29744 #29743) +#29746 := (or #7093 #28775) +#29749 := (iff #29746 #29743) +#29750 := [rewrite]: #29749 +#29747 := (iff #29744 #29746) +#28776 := (iff #28774 #28775) +#28777 := [rewrite]: #28776 +#29748 := [monotonicity #28777]: #29747 +#29752 := [trans #29748 #29750]: #29751 +#29745 := [quant-inst]: #29744 +#29753 := [mp #29745 #29752]: #29743 +#29796 := [unit-resolution #29753 #4347]: #28775 +#29797 := [unit-resolution #29796 #29795]: #28772 +#29798 := [th-lemma #29797 #29783 #25304 #25235 #12934 #29773]: false +#29800 := [lemma #29798]: #29799 +#32973 := [unit-resolution #29800 #32972]: #18779 +#32992 := [mp #32973 #32991]: #32602 +#32632 := (not #32602) +#32993 := (or #32591 #32632) +#29702 := (or #32591 #32632 #7040) +#30315 := [def-axiom]: #29702 +#32995 := [unit-resolution #30315 #8579]: #32993 +#32996 := [unit-resolution #32995 #32992]: #32591 +#32599 := (not #32591) +#28920 := (not #32564) +#30916 := (or #28920 #32538 #32599) +#31002 := [def-axiom]: #30916 +#32987 := [unit-resolution #31002 #32996 #32981 #32954]: false +#32997 := [lemma #32987]: #15367 +#39375 := (or #32956 #14218) +#39376 := [th-lemma]: #39375 +#39377 := [unit-resolution #39376 #32997]: #14218 +#34351 := (not #14218) +#34357 := (or #34324 #34351) +#4272 := (or #4523 #2319) +#4270 := [def-axiom]: #4272 +#34292 := [unit-resolution #4270 #29780]: #2319 +#34293 := [hypothesis]: #14218 +#34291 := [hypothesis]: #16010 +#34294 := [th-lemma #34291 #34293 #34292]: false +#34641 := [lemma #34294]: #34357 +#39378 := [unit-resolution #34641 #39377]: #34324 +#39380 := (or #16010 #16030) +#4273 := (or #4523 #2896) +#4259 := [def-axiom]: #4273 +#39379 := [unit-resolution #4259 #29780]: #2896 +#17785 := (or #4442 #2893 #16010 #16030) +#15998 := (+ #15997 #15995) +#15999 := (+ #15362 #15998) +#16000 := (= #15999 0::int) +#16001 := (not #16000) +#16007 := (or #16006 #16003 #16001) +#16008 := (not #16007) +#16011 := (or #2320 #16010 #16008) +#20897 := (or #4442 #16011) +#21453 := (iff #20897 #17785) +#16033 := (or #2893 #16010 #16030) +#21128 := (or #4442 #16033) +#18084 := (iff #21128 #17785) +#22003 := [rewrite]: #18084 +#20788 := (iff #20897 #21128) +#16034 := (iff #16011 #16033) +#16031 := (iff #16008 #16030) +#16028 := (iff #16007 #16025) +#16022 := (or #16006 #16003 #16019) +#16026 := (iff #16022 #16025) +#16027 := [rewrite]: #16026 +#16023 := (iff #16007 #16022) +#16020 := (iff #16001 #16019) +#16017 := (iff #16000 #16016) +#16014 := (= #15999 #16013) +#16015 := [rewrite]: #16014 +#16018 := [monotonicity #16015]: #16017 +#16021 := [monotonicity #16018]: #16020 +#16024 := [monotonicity #16021]: #16023 +#16029 := [trans #16024 #16027]: #16028 +#16032 := [monotonicity #16029]: #16031 +#16035 := [monotonicity #2895 #16032]: #16034 +#21237 := [monotonicity #16035]: #20788 +#21330 := [trans #21237 #22003]: #21453 +#21234 := [quant-inst]: #20897 +#21506 := [mp #21234 #21330]: #17785 +#39381 := [unit-resolution #21506 #8030 #39379]: #39380 +#39382 := [unit-resolution #39381 #39378]: #16030 +#22030 := (or #16025 #16016) +#18058 := [def-axiom]: #22030 +#32365 := [unit-resolution #18058 #39382]: #16016 +#32368 := (or #16019 #22006) +#29568 := [th-lemma]: #32368 +#29612 := [unit-resolution #29568 #32365]: #22006 +#20411 := (+ uf_9 #15995) +#20412 := (<= #20411 0::int) +#20215 := (uf_6 uf_17 #15992) +#20216 := (= uf_8 #20215) +#20606 := (uf_2 #15993) +#39327 := (uf_6 #7203 #20606) +#38901 := (= #39327 #20215) +#38905 := (= #20215 #39327) +#20607 := (= #15992 #20606) +#25402 := (or #7136 #20607) +#25393 := [quant-inst]: #25402 +#39384 := [unit-resolution #25393 #4306]: #20607 +#8247 := (= uf_17 #7203) +#8291 := (= #150 #7203) +#8151 := [symm #8593]: #8291 +#8423 := [trans #8578 #8151]: #8247 +#38906 := [monotonicity #8423 #39384]: #38905 +#38907 := [symm #38906]: #38901 +#39330 := (= uf_8 #39327) +#21345 := (uf_6 uf_15 #20606) +#21346 := (= uf_8 #21345) +#39333 := (= #7128 #20606) +#39336 := (ite #39333 #5314 #21346) +#39339 := (iff #39330 #39336) +#38867 := (or #7026 #39339) +#39325 := (= #20606 #7128) +#39326 := (ite #39325 #6089 #21346) +#39328 := (= #39327 uf_8) +#39329 := (iff #39328 #39326) +#38877 := (or #7026 #39329) +#38879 := (iff #38877 #38867) +#38890 := (iff #38867 #38867) +#38888 := [rewrite]: #38890 +#39340 := (iff #39329 #39339) +#39337 := (iff #39326 #39336) +#39334 := (iff #39325 #39333) +#39335 := [rewrite]: #39334 +#39338 := [monotonicity #39335 #6102]: #39337 +#39331 := (iff #39328 #39330) +#39332 := [rewrite]: #39331 +#39341 := [monotonicity #39332 #39338]: #39340 +#38889 := [monotonicity #39341]: #38879 +#38894 := [trans #38889 #38888]: #38879 +#38878 := [quant-inst]: #38877 +#38893 := [mp #38878 #38894]: #38867 +#38919 := [unit-resolution #38893 #4320]: #39339 +#38895 := (not #39339) +#38922 := (or #38895 #39330) +#39351 := (not #39336) +#39371 := [hypothesis]: #39351 +#39352 := (not #39333) +#39372 := (or #39336 #39352) +#39357 := (or #39336 #39352 #7040) +#39358 := [def-axiom]: #39357 +#39373 := [unit-resolution #39358 #8579]: #39372 +#39374 := [unit-resolution #39373 #39371]: #39352 +#39394 := (or #39336 #39333) +#39391 := (= #16004 #21345) +#39387 := (= #21345 #16004) +#39385 := (= #20606 #15992) +#39386 := [symm #39384]: #39385 +#39388 := [monotonicity #39386]: #39387 +#39392 := [symm #39388]: #39391 +#21698 := (or #16025 #16005) +#21997 := [def-axiom]: #21698 +#39383 := [unit-resolution #21997 #39382]: #16005 +#39393 := [trans #39383 #39392]: #21346 +#21347 := (not #21346) +#39359 := (or #39336 #39333 #21347) +#39360 := [def-axiom]: #39359 +#39395 := [unit-resolution #39360 #39393]: #39394 +#39396 := [unit-resolution #39395 #39374 #39371]: false +#39397 := [lemma #39396]: #39336 +#38896 := (or #38895 #39330 #39351) +#38897 := [def-axiom]: #38896 +#38902 := [unit-resolution #38897 #39397]: #38922 +#38903 := [unit-resolution #38902 #38919]: #39330 +#38908 := [trans #38903 #38907]: #20216 +#20217 := (not #20216) +#38921 := [hypothesis]: #20217 +#38924 := [unit-resolution #38921 #38908]: false +#38927 := [lemma #38924]: #20216 +#20218 := (uf_18 #15992) +#20235 := (* -1::int #20218) +#20421 := (+ #15995 #20235) +#20422 := (+ #2306 #20421) +#20423 := (<= #20422 0::int) +#31764 := (not #20423) +#26473 := (>= #20422 0::int) +#20236 := (+ #15996 #20235) +#20237 := (>= #20236 0::int) +#25927 := (or #4477 #20237) +#26030 := [quant-inst]: #25927 +#27294 := [unit-resolution #26030 #14110]: #20237 +#32338 := (not #20237) +#29920 := (not #22006) +#29919 := (or #26473 #29920 #34351 #32338) +#32347 := [th-lemma]: #29919 +#32336 := [unit-resolution #32347 #29612 #27294 #39377]: #26473 +#20465 := (= #20422 0::int) +#20470 := (not #20465) +#20454 := (+ #2306 #20235) +#20455 := (<= #20454 0::int) +#32331 := (not #20455) +#22027 := (not #16003) +#21587 := (or #16025 #22027) +#21112 := [def-axiom]: #21587 +#32344 := [unit-resolution #21112 #39382]: #22027 +#32343 := (or #32331 #16003 #34351 #32338) +#32335 := [th-lemma]: #32343 +#32375 := [unit-resolution #32335 #32344 #27294 #39377]: #32331 +#20473 := (or #20217 #20455 #20470) +#25436 := (or #4520 #20217 #20455 #20470) +#20442 := (+ #2307 #15994) +#20443 := (+ #20218 #20442) +#20444 := (= #20443 0::int) +#20445 := (not #20444) +#20406 := (+ #20218 #2307) +#20446 := (>= #20406 0::int) +#20447 := (or #20217 #20446 #20445) +#26505 := (or #4520 #20447) +#26705 := (iff #26505 #25436) +#11899 := (or #4520 #20473) +#26697 := (iff #11899 #25436) +#26704 := [rewrite]: #26697 +#25435 := (iff #26505 #11899) +#20474 := (iff #20447 #20473) +#20471 := (iff #20445 #20470) +#20468 := (iff #20444 #20465) +#20414 := (+ #15994 #20218) +#20415 := (+ #2307 #20414) +#20462 := (= #20415 0::int) +#20466 := (iff #20462 #20465) +#20467 := [rewrite]: #20466 +#20463 := (iff #20444 #20462) +#20460 := (= #20443 #20415) +#20461 := [rewrite]: #20460 +#20464 := [monotonicity #20461]: #20463 +#20469 := [trans #20464 #20467]: #20468 +#20472 := [monotonicity #20469]: #20471 +#20458 := (iff #20446 #20455) +#20448 := (+ #2307 #20218) +#20451 := (>= #20448 0::int) +#20456 := (iff #20451 #20455) +#20457 := [rewrite]: #20456 +#20452 := (iff #20446 #20451) +#20449 := (= #20406 #20448) +#20450 := [rewrite]: #20449 +#20453 := [monotonicity #20450]: #20452 +#20459 := [trans #20453 #20457]: #20458 +#20475 := [monotonicity #20459 #20472]: #20474 +#26696 := [monotonicity #20475]: #25435 +#26698 := [trans #26696 #26704]: #26705 +#26504 := [quant-inst]: #26505 +#26615 := [mp #26504 #26698]: #25436 +#29644 := [unit-resolution #26615 #29781]: #20473 +#29611 := [unit-resolution #29644 #38927 #32375]: #20470 +#32349 := (not #26473) +#31762 := (or #20465 #31764 #32349) +#29679 := [th-lemma]: #31762 +#32366 := [unit-resolution #29679 #29611 #32336]: #31764 +#20428 := (or #20217 #20412 #20423) +#4260 := (or #4523 #4506) +#3982 := [def-axiom]: #4260 +#29894 := [unit-resolution #3982 #29780]: #4506 +#26338 := (or #4511 #20217 #20412 #20423) +#20407 := (+ #15994 #20406) +#20410 := (>= #20407 0::int) +#20413 := (or #20217 #20412 #20410) +#26340 := (or #4511 #20413) +#25469 := (iff #26340 #26338) +#10685 := (or #4511 #20428) +#25478 := (iff #10685 #26338) +#25474 := [rewrite]: #25478 +#25437 := (iff #26340 #10685) +#20429 := (iff #20413 #20428) +#20426 := (iff #20410 #20423) +#20418 := (>= #20415 0::int) +#20424 := (iff #20418 #20423) +#20425 := [rewrite]: #20424 +#20419 := (iff #20410 #20418) +#20416 := (= #20407 #20415) +#20417 := [rewrite]: #20416 +#20420 := [monotonicity #20417]: #20419 +#20427 := [trans #20420 #20425]: #20426 +#20430 := [monotonicity #20427]: #20429 +#25388 := [monotonicity #20430]: #25437 +#25466 := [trans #25388 #25474]: #25469 +#25477 := [quant-inst]: #26340 +#25432 := [mp #25477 #25466]: #26338 +#31826 := [unit-resolution #25432 #29894]: #20428 +#29616 := [unit-resolution #31826 #32366 #38927]: #20412 +[th-lemma #34292 #39377 #29616 #29612 #29563]: false +unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra --- a/src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,43 +0,0 @@ -(benchmark Isabelle -:extrasorts ( T1 T4 T3 T5 T2) -:extrafuns ( - (uf_2 T1 T2) - (uf_3 T1 T2) - (uf_1 T2 T2 T1) - (uf_8 T5) - (uf_7 T4 T2 T5 T4) - (uf_5 T3 T2 Int T3) - (uf_6 T4 T2 T5) - (uf_4 T3 T2 Int) - (uf_10 T1 Int) - (uf_11 T2) - (uf_9 Int) - (uf_21 T2) - (uf_16 T2) - (uf_20 T2) - (uf_12 T2 Int) - (uf_14 T3) - (uf_18 T2 Int) - (uf_22 T3) - (uf_24 T3) - (uf_23 T3) - (uf_15 T4) - (uf_17 T4) - (uf_19 T4) - ) -:extrapreds ( - (up_13 T2) - ) -:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1) (uf_3 ?x1)) ?x1)) -:assumption (forall (?x2 T2) (?x3 T2) (= (uf_3 (uf_1 ?x2 ?x3)) ?x3)) -:assumption (forall (?x4 T2) (?x5 T2) (= (uf_2 (uf_1 ?x4 ?x5)) ?x4)) -:assumption (forall (?x6 T3) (?x7 T2) (?x8 Int) (?x9 T2) (= (uf_4 (uf_5 ?x6 ?x7 ?x8) ?x9) (ite (= ?x9 ?x7) ?x8 (uf_4 ?x6 ?x9)))) -:assumption (forall (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2) (iff (= (uf_6 (uf_7 ?x10 ?x11 ?x12) ?x13) uf_8) (if_then_else (= ?x13 ?x11) (= ?x12 uf_8) (= (uf_6 ?x10 ?x13) uf_8)))) -:assumption (forall (?x14 T3) (?x15 T2) (?x16 Int) (= (uf_4 (uf_5 ?x14 ?x15 ?x16) ?x15) ?x16)) -:assumption (forall (?x17 T4) (?x18 T2) (?x19 T5) (iff (= (uf_6 (uf_7 ?x17 ?x18 ?x19) ?x18) uf_8) (= ?x19 uf_8))) -:assumption (< 0 uf_9) -:assumption (forall (?x20 T2) (?x21 T2) (implies (= ?x20 ?x21) (= (uf_10 (uf_1 ?x20 ?x21)) 0))) -:assumption (forall (?x22 T2) (?x23 T2) (implies (not (= ?x22 ?x23)) (< 0 (uf_10 (uf_1 ?x22 ?x23))))) -:assumption (not (implies true (implies true (implies (forall (?x24 T2) (implies (= ?x24 uf_11) (= (uf_12 ?x24) 0))) (implies (forall (?x25 T2) (implies (not (= ?x25 uf_11)) (= (uf_12 ?x25) uf_9))) (implies (forall (?x26 T2) (not (up_13 ?x26))) (implies true (and (implies (= (uf_12 uf_11) 0) (and (implies (forall (?x27 T2) (<= 0 (uf_12 ?x27))) (and (implies (forall (?x28 T2) (?x29 T2) (implies (and (up_13 ?x28) (not (up_13 ?x29))) (<= (uf_12 ?x28) (uf_12 ?x29)))) (and (implies (forall (?x30 T2) (?x31 T2) (implies (and (< (uf_10 (uf_1 ?x31 ?x30)) uf_9) (up_13 ?x31)) (<= (uf_12 ?x30) (+ (uf_12 ?x31) (uf_10 (uf_1 ?x31 ?x30)))))) (and (implies (forall (?x32 T2) (implies (and (< (uf_12 ?x32) uf_9) (not (= ?x32 uf_11))) (exists (?x33 T2) (and (= (uf_12 ?x32) (+ (uf_12 ?x33) (uf_10 (uf_1 ?x33 ?x32)))) (and (up_13 ?x33) (< (uf_12 ?x33) (uf_12 ?x32))))))) (implies true (implies true (implies (= (uf_4 uf_14 uf_11) 0) (implies (forall (?x34 T2) (<= 0 (uf_4 uf_14 ?x34))) (implies (forall (?x35 T2) (?x36 T2) (implies (and (= (uf_6 uf_15 ?x35) uf_8) (not (= (uf_6 uf_15 ?x36) uf_8))) (<= (uf_4 uf_14 ?x35) (uf_4 uf_14 ?x36)))) (implies (forall (?x37 T2) (?x38 T2) (implies (and (< (uf_10 (uf_1 ?x38 ?x37)) uf_9) (= (uf_6 uf_15 ?x38) uf_8)) (<= (uf_4 uf_14 ?x37) (+ (uf_4 uf_14 ?x38) (uf_10 (uf_1 ?x38 ?x37)))))) (implies (forall (?x39 T2) (implies (and (< (uf_4 uf_14 ?x39) uf_9) (not (= ?x39 uf_11))) (exists (?x40 T2) (and (= (uf_4 uf_14 ?x39) (+ (uf_4 uf_14 ?x40) (uf_10 (uf_1 ?x40 ?x39)))) (and (= (uf_6 uf_15 ?x40) uf_8) (< (uf_4 uf_14 ?x40) (uf_4 uf_14 ?x39))))))) (implies true (and (implies true (implies true (implies (exists (?x41 T2) (and (< (uf_4 uf_14 ?x41) uf_9) (not (= (uf_6 uf_15 ?x41) uf_8)))) (implies (not (= (uf_6 uf_15 uf_16) uf_8)) (implies (< (uf_4 uf_14 uf_16) uf_9) (implies (forall (?x42 T2) (implies (not (= (uf_6 uf_15 ?x42) uf_8)) (<= (uf_4 uf_14 uf_16) (uf_4 uf_14 ?x42)))) (implies (= uf_17 (uf_7 uf_15 uf_16 uf_8)) (implies (forall (?x43 T2) (implies (and (< (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x43))) (uf_4 uf_14 ?x43)) (< (uf_10 (uf_1 uf_16 ?x43)) uf_9)) (= (uf_18 ?x43) (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x43)))))) (implies (forall (?x44 T2) (implies (not (and (< (+ (uf_4 uf_14 uf_16) (uf_10 (uf_1 uf_16 ?x44))) (uf_4 uf_14 ?x44)) (< (uf_10 (uf_1 uf_16 ?x44)) uf_9))) (= (uf_18 ?x44) (uf_4 uf_14 ?x44)))) (and (implies (forall (?x45 T2) (<= (uf_18 ?x45) (uf_4 uf_14 ?x45))) (and (implies (forall (?x46 T2) (implies (= (uf_6 uf_17 ?x46) uf_8) (= (uf_18 ?x46) (uf_4 uf_14 ?x46)))) (implies true (implies true (and (implies (= (uf_18 uf_11) 0) (and (implies (forall (?x47 T2) (<= 0 (uf_18 ?x47))) (and (implies (forall (?x48 T2) (?x49 T2) (implies (and (= (uf_6 uf_17 ?x48) uf_8) (not (= (uf_6 uf_17 ?x49) uf_8))) (<= (uf_18 ?x48) (uf_18 ?x49)))) (and (implies (forall (?x50 T2) (?x51 T2) (implies (and (< (uf_10 (uf_1 ?x51 ?x50)) uf_9) (= (uf_6 uf_17 ?x51) uf_8)) (<= (uf_18 ?x50) (+ (uf_18 ?x51) (uf_10 (uf_1 ?x51 ?x50)))))) (and (implies (forall (?x52 T2) (implies (and (< (uf_18 ?x52) uf_9) (not (= ?x52 uf_11))) (exists (?x53 T2) (and (= (uf_18 ?x52) (+ (uf_18 ?x53) (uf_10 (uf_1 ?x53 ?x52)))) (and (= (uf_6 uf_17 ?x53) uf_8) (< (uf_18 ?x53) (uf_18 ?x52))))))) (implies false true)) (forall (?x54 T2) (implies (and (< (uf_18 ?x54) uf_9) (not (= ?x54 uf_11))) (exists (?x55 T2) (and (= (uf_18 ?x54) (+ (uf_18 ?x55) (uf_10 (uf_1 ?x55 ?x54)))) (and (= (uf_6 uf_17 ?x55) uf_8) (< (uf_18 ?x55) (uf_18 ?x54))))))))) (forall (?x56 T2) (?x57 T2) (implies (and (< (uf_10 (uf_1 ?x57 ?x56)) uf_9) (= (uf_6 uf_17 ?x57) uf_8)) (<= (uf_18 ?x56) (+ (uf_18 ?x57) (uf_10 (uf_1 ?x57 ?x56)))))))) (forall (?x58 T2) (?x59 T2) (implies (and (= (uf_6 uf_17 ?x58) uf_8) (not (= (uf_6 uf_17 ?x59) uf_8))) (<= (uf_18 ?x58) (uf_18 ?x59)))))) (forall (?x60 T2) (<= 0 (uf_18 ?x60))))) (= (uf_18 uf_11) 0))))) (forall (?x61 T2) (implies (= (uf_6 uf_17 ?x61) uf_8) (= (uf_18 ?x61) (uf_4 uf_14 ?x61)))))) (forall (?x62 T2) (<= (uf_18 ?x62) (uf_4 uf_14 ?x62))))))))))))) (implies true (implies true (implies (not (exists (?x63 T2) (and (< (uf_4 uf_14 ?x63) uf_9) (not (= (uf_6 uf_15 ?x63) uf_8))))) (implies true (implies true (implies (= uf_19 uf_15) (implies (= uf_20 uf_21) (implies (= uf_22 uf_14) (implies (= uf_23 uf_24) (implies true (and (implies (forall (?x64 T2) (implies (and (< (uf_4 uf_22 ?x64) uf_9) (not (= ?x64 uf_11))) (exists (?x65 T2) (and (= (uf_4 uf_22 ?x64) (+ (uf_4 uf_22 ?x65) (uf_10 (uf_1 ?x65 ?x64)))) (< (uf_4 uf_22 ?x65) (uf_4 uf_22 ?x64)))))) (and (implies (forall (?x66 T2) (?x67 T2) (implies (and (< (uf_10 (uf_1 ?x67 ?x66)) uf_9) (< (uf_4 uf_22 ?x67) uf_9)) (<= (uf_4 uf_22 ?x66) (+ (uf_4 uf_22 ?x67) (uf_10 (uf_1 ?x67 ?x66)))))) (and (implies (= (uf_4 uf_22 uf_11) 0) true) (= (uf_4 uf_22 uf_11) 0))) (forall (?x68 T2) (?x69 T2) (implies (and (< (uf_10 (uf_1 ?x69 ?x68)) uf_9) (< (uf_4 uf_22 ?x69) uf_9)) (<= (uf_4 uf_22 ?x68) (+ (uf_4 uf_22 ?x69) (uf_10 (uf_1 ?x69 ?x68)))))))) (forall (?x70 T2) (implies (and (< (uf_4 uf_22 ?x70) uf_9) (not (= ?x70 uf_11))) (exists (?x71 T2) (and (= (uf_4 uf_22 ?x70) (+ (uf_4 uf_22 ?x71) (uf_10 (uf_1 ?x71 ?x70)))) (< (uf_4 uf_22 ?x71) (uf_4 uf_22 ?x70))))))))))))))))))))))))))) (forall (?x72 T2) (implies (and (< (uf_12 ?x72) uf_9) (not (= ?x72 uf_11))) (exists (?x73 T2) (and (= (uf_12 ?x72) (+ (uf_12 ?x73) (uf_10 (uf_1 ?x73 ?x72)))) (and (up_13 ?x73) (< (uf_12 ?x73) (uf_12 ?x72))))))))) (forall (?x74 T2) (?x75 T2) (implies (and (< (uf_10 (uf_1 ?x75 ?x74)) uf_9) (up_13 ?x75)) (<= (uf_12 ?x74) (+ (uf_12 ?x75) (uf_10 (uf_1 ?x75 ?x74)))))))) (forall (?x76 T2) (?x77 T2) (implies (and (up_13 ?x76) (not (up_13 ?x77))) (<= (uf_12 ?x76) (uf_12 ?x77)))))) (forall (?x78 T2) (<= 0 (uf_12 ?x78))))) (= (uf_12 uf_11) 0))))))))) -:formula true -) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra.proof --- a/src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra.proof Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,7081 +0,0 @@ -#2 := false -#55 := 0::int -decl uf_4 :: (-> T3 T2 int) -decl ?x40!7 :: (-> T2 T2) -decl ?x52!15 :: T2 -#2305 := ?x52!15 -#15992 := (?x40!7 ?x52!15) -decl uf_14 :: T3 -#107 := uf_14 -#15996 := (uf_4 uf_14 #15992) -#20405 := (>= #15996 0::int) -#11 := (:var 0 T2) -#110 := (uf_4 uf_14 #11) -#4403 := (pattern #110) -#1843 := (>= #110 0::int) -#4404 := (forall (vars (?x34 T2)) (:pat #4403) #1843) -decl uf_10 :: (-> T1 int) -decl uf_1 :: (-> T2 T2 T1) -decl ?x66!20 :: T2 -#2511 := ?x66!20 -decl ?x67!19 :: T2 -#2510 := ?x67!19 -#2516 := (uf_1 ?x67!19 ?x66!20) -#2517 := (uf_10 #2516) -#1320 := -1::int -#2524 := (* -1::int #2517) -decl uf_22 :: T3 -#230 := uf_22 -#2514 := (uf_4 uf_22 ?x67!19) -#2520 := (* -1::int #2514) -#3094 := (+ #2520 #2524) -#2512 := (uf_4 uf_22 ?x66!20) -#3095 := (+ #2512 #3094) -#3096 := (<= #3095 0::int) -decl uf_9 :: int -#56 := uf_9 -#2525 := (+ uf_9 #2524) -#2526 := (<= #2525 0::int) -#2521 := (+ uf_9 #2520) -#2522 := (<= #2521 0::int) -#3693 := (or #2522 #2526 #3096) -#3698 := (not #3693) -#10 := (:var 1 T2) -#90 := (uf_1 #11 #10) -#4379 := (pattern #90) -#238 := (uf_4 uf_22 #10) -#1720 := (* -1::int #238) -#235 := (uf_4 uf_22 #11) -#1721 := (+ #235 #1720) -#91 := (uf_10 #90) -#1727 := (+ #91 #1721) -#1750 := (>= #1727 0::int) -#1707 := (* -1::int #235) -#1708 := (+ uf_9 #1707) -#1709 := (<= #1708 0::int) -#1343 := (* -1::int #91) -#1346 := (+ uf_9 #1343) -#1347 := (<= #1346 0::int) -#3661 := (or #1347 #1709 #1750) -#4633 := (forall (vars (?x66 T2) (?x67 T2)) (:pat #4379) #3661) -#4638 := (not #4633) -decl uf_11 :: T2 -#67 := uf_11 -#250 := (uf_4 uf_22 uf_11) -#251 := (= #250 0::int) -#4641 := (or #251 #4638) -#4644 := (not #4641) -#4647 := (or #4644 #3698) -#4650 := (not #4647) -#4609 := (pattern #235) -decl ?x65!18 :: (-> T2 T2) -#2487 := (?x65!18 #11) -#2490 := (uf_1 #2487 #11) -#2491 := (uf_10 #2490) -#3064 := (* -1::int #2491) -#2488 := (uf_4 uf_22 #2487) -#3047 := (* -1::int #2488) -#3065 := (+ #3047 #3064) -#3066 := (+ #235 #3065) -#3067 := (= #3066 0::int) -#3631 := (not #3067) -#3048 := (+ #235 #3047) -#3049 := (<= #3048 0::int) -#3632 := (or #3049 #3631) -#3633 := (not #3632) -#68 := (= #11 uf_11) -#3639 := (or #68 #1709 #3633) -#4625 := (forall (vars (?x64 T2)) (:pat #4609) #3639) -#4630 := (not #4625) -#4653 := (or #4630 #4650) -#4656 := (not #4653) -decl ?x64!17 :: T2 -#2447 := ?x64!17 -#2451 := (uf_1 #11 ?x64!17) -#4610 := (pattern #2451) -#2452 := (uf_10 #2451) -#2448 := (uf_4 uf_22 ?x64!17) -#2449 := (* -1::int #2448) -#3017 := (+ #2449 #2452) -#3018 := (+ #235 #3017) -#3021 := (= #3018 0::int) -#3595 := (not #3021) -#2450 := (+ #235 #2449) -#2455 := (>= #2450 0::int) -#3596 := (or #2455 #3595) -#4611 := (forall (vars (?x65 T2)) (:pat #4609 #4610) #3596) -#4616 := (not #4611) -#2993 := (= uf_11 ?x64!17) -#2459 := (+ uf_9 #2449) -#2460 := (<= #2459 0::int) -#4619 := (or #2460 #2993 #4616) -#4622 := (not #4619) -#4659 := (or #4622 #4656) -#4662 := (not #4659) -decl uf_6 :: (-> T4 T2 T5) -decl uf_15 :: T4 -#113 := uf_15 -#116 := (uf_6 uf_15 #11) -#4445 := (pattern #116) -#1404 := (* -1::int #110) -#1405 := (+ uf_9 #1404) -#1406 := (<= #1405 0::int) -decl uf_8 :: T5 -#33 := uf_8 -#505 := (= uf_8 #116) -#3581 := (or #505 #1406) -#4601 := (forall (vars (?x41 T2)) (:pat #4445 #4403) #3581) -#4606 := (not #4601) -#933 := (= uf_14 uf_22) -#1053 := (not #933) -decl uf_19 :: T4 -#225 := uf_19 -#930 := (= uf_15 uf_19) -#1071 := (not #930) -decl uf_24 :: T3 -#233 := uf_24 -decl uf_23 :: T3 -#232 := uf_23 -#234 := (= uf_23 uf_24) -#1044 := (not #234) -decl uf_21 :: T2 -#228 := uf_21 -decl uf_20 :: T2 -#227 := uf_20 -#229 := (= uf_20 uf_21) -#1062 := (not #229) -#4665 := (or #1062 #1044 #1071 #1053 #4606 #4662) -#4668 := (not #4665) -#2309 := (uf_1 #11 ?x52!15) -#4514 := (pattern #2309) -decl uf_18 :: (-> T2 int) -#158 := (uf_18 #11) -#4454 := (pattern #158) -decl uf_17 :: T4 -#149 := uf_17 -#168 := (uf_6 uf_17 #11) -#4480 := (pattern #168) -#2310 := (uf_10 #2309) -#2306 := (uf_18 ?x52!15) -#2307 := (* -1::int #2306) -#2917 := (+ #2307 #2310) -#2918 := (+ #158 #2917) -#2921 := (= #2918 0::int) -#3474 := (not #2921) -#2308 := (+ #158 #2307) -#2313 := (>= #2308 0::int) -#630 := (= uf_8 #168) -#636 := (not #630) -#3475 := (or #636 #2313 #3474) -#4515 := (forall (vars (?x53 T2)) (:pat #4480 #4454 #4514) #3475) -#4520 := (not #4515) -#180 := (uf_18 #10) -#1505 := (* -1::int #180) -#1506 := (+ #158 #1505) -#1536 := (+ #91 #1506) -#1534 := (>= #1536 0::int) -#3466 := (or #636 #1347 #1534) -#4506 := (forall (vars (?x50 T2) (?x51 T2)) (:pat #4379) #3466) -#4511 := (not #4506) -#2893 := (= uf_11 ?x52!15) -#2317 := (+ uf_9 #2307) -#2318 := (<= #2317 0::int) -#4523 := (or #2318 #2893 #4511 #4520) -#4526 := (not #4523) -decl ?x50!14 :: T2 -#2275 := ?x50!14 -decl ?x51!13 :: T2 -#2274 := ?x51!13 -#2280 := (uf_1 ?x51!13 ?x50!14) -#2281 := (uf_10 #2280) -#2284 := (* -1::int #2281) -#2278 := (uf_18 ?x51!13) -#2879 := (* -1::int #2278) -#2880 := (+ #2879 #2284) -#2276 := (uf_18 ?x50!14) -#2881 := (+ #2276 #2880) -#2882 := (<= #2881 0::int) -#2288 := (uf_6 uf_17 ?x51!13) -#2289 := (= uf_8 #2288) -#3429 := (not #2289) -#2285 := (+ uf_9 #2284) -#2286 := (<= #2285 0::int) -#3444 := (or #2286 #3429 #2882) -#3449 := (not #3444) -#4529 := (or #3449 #4526) -#4532 := (not #4529) -#4497 := (pattern #158 #180) -#1504 := (>= #1506 0::int) -#176 := (uf_6 uf_17 #10) -#648 := (= uf_8 #176) -#3406 := (not #648) -#3421 := (or #630 #3406 #1504) -#4498 := (forall (vars (?x48 T2) (?x49 T2)) (:pat #4497) #3421) -#4503 := (not #4498) -#4535 := (or #4503 #4532) -#4538 := (not #4535) -decl ?x49!11 :: T2 -#2247 := ?x49!11 -#2251 := (uf_18 ?x49!11) -#2853 := (* -1::int #2251) -decl ?x48!12 :: T2 -#2248 := ?x48!12 -#2249 := (uf_18 ?x48!12) -#2854 := (+ #2249 #2853) -#2855 := (<= #2854 0::int) -#2256 := (uf_6 uf_17 ?x49!11) -#2257 := (= uf_8 #2256) -#2254 := (uf_6 uf_17 ?x48!12) -#2255 := (= uf_8 #2254) -#3383 := (not #2255) -#3398 := (or #3383 #2257 #2855) -#3403 := (not #3398) -#4541 := (or #3403 #4538) -#4544 := (not #4541) -#1495 := (>= #158 0::int) -#4489 := (forall (vars (?x47 T2)) (:pat #4454) #1495) -#4494 := (not #4489) -#4547 := (or #4494 #4544) -#4550 := (not #4547) -decl ?x47!10 :: T2 -#2232 := ?x47!10 -#2233 := (uf_18 ?x47!10) -#2234 := (>= #2233 0::int) -#2235 := (not #2234) -#4553 := (or #2235 #4550) -#4556 := (not #4553) -#172 := (uf_18 uf_11) -#173 := (= #172 0::int) -#1492 := (not #173) -#4559 := (or #1492 #4556) -#4562 := (not #4559) -#4565 := (or #1492 #4562) -#4568 := (not #4565) -#616 := (= #110 #158) -#637 := (or #616 #636) -#4481 := (forall (vars (?x46 T2)) (:pat #4403 #4454 #4480) #637) -#4486 := (not #4481) -#4571 := (or #4486 #4568) -#4574 := (not #4571) -decl ?x46!9 :: T2 -#2207 := ?x46!9 -#2212 := (uf_4 uf_14 ?x46!9) -#2211 := (uf_18 ?x46!9) -#2825 := (= #2211 #2212) -#2208 := (uf_6 uf_17 ?x46!9) -#2209 := (= uf_8 #2208) -#2210 := (not #2209) -#2831 := (or #2210 #2825) -#2836 := (not #2831) -#4577 := (or #2836 #4574) -#4580 := (not #4577) -#1480 := (* -1::int #158) -#1481 := (+ #110 #1480) -#1479 := (>= #1481 0::int) -#4472 := (forall (vars (?x45 T2)) (:pat #4403 #4454) #1479) -#4477 := (not #4472) -#4583 := (or #4477 #4580) -#4586 := (not #4583) -decl ?x45!8 :: T2 -#2189 := ?x45!8 -#2192 := (uf_4 uf_14 ?x45!8) -#2815 := (* -1::int #2192) -#2190 := (uf_18 ?x45!8) -#2816 := (+ #2190 #2815) -#2817 := (<= #2816 0::int) -#2822 := (not #2817) -#4589 := (or #2822 #4586) -#4592 := (not #4589) -decl uf_16 :: T2 -#140 := uf_16 -#152 := (uf_1 uf_16 #11) -#4455 := (pattern #152) -#153 := (uf_10 #152) -#1623 := (+ #153 #1480) -#144 := (uf_4 uf_14 uf_16) -#1624 := (+ #144 #1623) -#1625 := (= #1624 0::int) -#1450 := (* -1::int #153) -#1457 := (+ uf_9 #1450) -#1458 := (<= #1457 0::int) -#1449 := (* -1::int #144) -#1451 := (+ #1449 #1450) -#1452 := (+ #110 #1451) -#1453 := (<= #1452 0::int) -#3375 := (or #1453 #1458 #1625) -#4464 := (forall (vars (?x43 T2)) (:pat #4403 #4455 #4454) #3375) -#4469 := (not #4464) -#3355 := (or #1453 #1458) -#3356 := (not #3355) -#3359 := (or #616 #3356) -#4456 := (forall (vars (?x44 T2)) (:pat #4403 #4454 #4455) #3359) -#4461 := (not #4456) -decl ?x41!16 :: T2 -#2408 := ?x41!16 -#2414 := (uf_6 uf_15 ?x41!16) -#2415 := (= uf_8 #2414) -#2409 := (uf_4 uf_14 ?x41!16) -#2410 := (* -1::int #2409) -#2411 := (+ uf_9 #2410) -#2412 := (<= #2411 0::int) -#1655 := (+ uf_9 #1449) -#1656 := (<= #1655 0::int) -#1638 := (+ #110 #1449) -#1637 := (>= #1638 0::int) -#1644 := (or #505 #1637) -#4446 := (forall (vars (?x42 T2)) (:pat #4445 #4403) #1644) -#4451 := (not #4446) -#141 := (uf_6 uf_15 uf_16) -#585 := (= uf_8 #141) -decl uf_7 :: (-> T4 T2 T5 T4) -#150 := (uf_7 uf_15 uf_16 uf_8) -#151 := (= uf_17 #150) -#876 := (not #151) -#4595 := (or #876 #585 #4451 #1656 #2412 #2415 #4461 #4469 #4592) -#4598 := (not #4595) -#4671 := (or #4598 #4668) -#4674 := (not #4671) -#2152 := (?x40!7 #11) -#2155 := (uf_1 #2152 #11) -#2156 := (uf_10 #2155) -#2790 := (* -1::int #2156) -#2153 := (uf_4 uf_14 #2152) -#2773 := (* -1::int #2153) -#2791 := (+ #2773 #2790) -#2792 := (+ #110 #2791) -#2793 := (= #2792 0::int) -#3339 := (not #2793) -#2774 := (+ #110 #2773) -#2775 := (<= #2774 0::int) -#2161 := (uf_6 uf_15 #2152) -#2162 := (= uf_8 #2161) -#3338 := (not #2162) -#3340 := (or #3338 #2775 #3339) -#3341 := (not #3340) -#3347 := (or #68 #1406 #3341) -#4437 := (forall (vars (?x39 T2)) (:pat #4403) #3347) -#4442 := (not #4437) -decl uf_12 :: (-> T2 int) -#69 := (uf_12 #11) -#4355 := (pattern #69) -decl ?x33!6 :: (-> T2 T2) -#2123 := (?x33!6 #11) -#2127 := (uf_12 #2123) -#2728 := (* -1::int #2127) -#2124 := (uf_1 #2123 #11) -#2125 := (uf_10 #2124) -#2745 := (* -1::int #2125) -#2746 := (+ #2745 #2728) -#2747 := (+ #69 #2746) -#2748 := (= #2747 0::int) -#3311 := (not #2748) -#2729 := (+ #69 #2728) -#2730 := (<= #2729 0::int) -decl up_13 :: (-> T2 bool) -#2133 := (up_13 #2123) -#3310 := (not #2133) -#3312 := (or #3310 #2730 #3311) -#3313 := (not #3312) -#1386 := (* -1::int #69) -#1387 := (+ uf_9 #1386) -#1388 := (<= #1387 0::int) -#3319 := (or #68 #1388 #3313) -#4429 := (forall (vars (?x32 T2)) (:pat #4355) #3319) -#4434 := (not #4429) -#114 := (uf_6 uf_15 #10) -#4420 := (pattern #114 #116) -#120 := (uf_4 uf_14 #10) -#1417 := (* -1::int #120) -#1418 := (+ #110 #1417) -#1416 := (>= #1418 0::int) -#502 := (= uf_8 #114) -#3276 := (not #502) -#3291 := (or #3276 #505 #1416) -#4421 := (forall (vars (?x35 T2) (?x36 T2)) (:pat #4420) #3291) -#4426 := (not #4421) -#1424 := (+ #91 #1418) -#1815 := (>= #1424 0::int) -#508 := (not #505) -#3268 := (or #508 #1347 #1815) -#4412 := (forall (vars (?x37 T2) (?x38 T2)) (:pat #4379) #3268) -#4417 := (not #4412) -#4409 := (not #4404) -#108 := (uf_4 uf_14 uf_11) -#109 := (= #108 0::int) -#1854 := (not #109) -#4677 := (or #1854 #4409 #4417 #4426 #4434 #4442 #4674) -#4680 := (not #4677) -decl ?x32!5 :: T2 -#2081 := ?x32!5 -#2091 := (uf_1 #11 ?x32!5) -#4388 := (pattern #2091) -#77 := (up_13 #11) -#4348 := (pattern #77) -#2082 := (uf_12 ?x32!5) -#2083 := (* -1::int #2082) -#2096 := (+ #69 #2083) -#2097 := (>= #2096 0::int) -#2092 := (uf_10 #2091) -#2093 := (+ #2083 #2092) -#2094 := (+ #69 #2093) -#2095 := (= #2094 0::int) -#3229 := (not #2095) -#78 := (not #77) -#3230 := (or #78 #3229 #2097) -#4389 := (forall (vars (?x33 T2)) (:pat #4348 #4355 #4388) #3230) -#4394 := (not #4389) -#2688 := (= uf_11 ?x32!5) -#2084 := (+ uf_9 #2083) -#2085 := (<= #2084 0::int) -#4397 := (or #2085 #2688 #4394) -#4400 := (not #4397) -#4683 := (or #4400 #4680) -#4686 := (not #4683) -#86 := (uf_12 #10) -#1323 := (* -1::int #86) -#1344 := (+ #1323 #91) -#1345 := (+ #69 #1344) -#1342 := (>= #1345 0::int) -#3221 := (or #78 #1342 #1347) -#4380 := (forall (vars (?x30 T2) (?x31 T2)) (:pat #4379) #3221) -#4385 := (not #4380) -#4689 := (or #4385 #4686) -#4692 := (not #4689) -decl ?x31!3 :: T2 -#2051 := ?x31!3 -#2065 := (uf_12 ?x31!3) -decl ?x30!4 :: T2 -#2052 := ?x30!4 -#2062 := (uf_12 ?x30!4) -#2063 := (* -1::int #2062) -#2660 := (+ #2063 #2065) -#2053 := (uf_1 ?x31!3 ?x30!4) -#2054 := (uf_10 #2053) -#2661 := (+ #2054 #2660) -#2664 := (>= #2661 0::int) -#2059 := (up_13 ?x31!3) -#3184 := (not #2059) -#2055 := (* -1::int #2054) -#2056 := (+ uf_9 #2055) -#2057 := (<= #2056 0::int) -#3199 := (or #2057 #3184 #2664) -#3204 := (not #3199) -#4695 := (or #3204 #4692) -#4698 := (not #4695) -#84 := (up_13 #10) -#4370 := (pattern #77 #84) -#1324 := (+ #69 #1323) -#1322 := (>= #1324 0::int) -#2632 := (not #84) -#3176 := (or #77 #2632 #1322) -#4371 := (forall (vars (?x28 T2) (?x29 T2)) (:pat #4370) #3176) -#4376 := (not #4371) -#4701 := (or #4376 #4698) -#4704 := (not #4701) -decl ?x29!1 :: T2 -#2026 := ?x29!1 -#2030 := (uf_12 ?x29!1) -#2647 := (* -1::int #2030) -decl ?x28!2 :: T2 -#2027 := ?x28!2 -#2028 := (uf_12 ?x28!2) -#2648 := (+ #2028 #2647) -#2649 := (<= #2648 0::int) -#2034 := (up_13 ?x29!1) -#2033 := (up_13 ?x28!2) -#2266 := (not #2033) -#2166 := (or #2266 #2034 #2649) -#6004 := [hypothesis]: #2033 -#4349 := (forall (vars (?x26 T2)) (:pat #4348) #78) -#79 := (forall (vars (?x26 T2)) #78) -#4352 := (iff #79 #4349) -#4350 := (iff #78 #78) -#4351 := [refl]: #4350 -#4353 := [quant-intro #4351]: #4352 -#1965 := (~ #79 #79) -#2002 := (~ #78 #78) -#2003 := [refl]: #2002 -#1966 := [nnf-pos #2003]: #1965 -#70 := (= #69 0::int) -#73 := (not #68) -#1912 := (or #73 #70) -#1915 := (forall (vars (?x24 T2)) #1912) -#1918 := (not #1915) -#1846 := (forall (vars (?x34 T2)) #1843) -#1849 := (not #1846) -#511 := (and #502 #508) -#517 := (not #511) -#1832 := (or #517 #1416) -#1837 := (forall (vars (?x35 T2) (?x36 T2)) #1832) -#1840 := (not #1837) -#1348 := (not #1347) -#1807 := (and #505 #1348) -#1812 := (not #1807) -#1818 := (or #1812 #1815) -#1821 := (forall (vars (?x37 T2) (?x38 T2)) #1818) -#1824 := (not #1821) -#1710 := (not #1709) -#1744 := (and #1348 #1710) -#1747 := (not #1744) -#1753 := (or #1747 #1750) -#1756 := (forall (vars (?x66 T2) (?x67 T2)) #1753) -#1759 := (not #1756) -#1767 := (or #251 #1759) -#1772 := (and #1756 #1767) -#1725 := (= #1727 0::int) -#1719 := (>= #1721 0::int) -#1722 := (not #1719) -#1729 := (and #1722 #1725) -#1732 := (exists (vars (?x65 T2)) #1729) -#1713 := (and #73 #1710) -#1716 := (not #1713) -#1735 := (or #1716 #1732) -#1738 := (forall (vars (?x64 T2)) #1735) -#1741 := (not #1738) -#1775 := (or #1741 #1772) -#1778 := (and #1738 #1775) -#1407 := (not #1406) -#1670 := (and #508 #1407) -#1675 := (exists (vars (?x41 T2)) #1670) -#1796 := (or #1062 #1044 #1071 #1053 #1675 #1778) -#1678 := (not #1675) -#1649 := (forall (vars (?x42 T2)) #1644) -#1652 := (not #1649) -#1459 := (not #1458) -#1454 := (not #1453) -#1462 := (and #1454 #1459) -#1620 := (not #1462) -#1628 := (or #1620 #1625) -#1631 := (forall (vars (?x43 T2)) #1628) -#1634 := (not #1631) -#1561 := (= #1536 0::int) -#1558 := (not #1504) -#1570 := (and #630 #1558 #1561) -#1575 := (exists (vars (?x53 T2)) #1570) -#1547 := (+ uf_9 #1480) -#1548 := (<= #1547 0::int) -#1549 := (not #1548) -#1552 := (and #73 #1549) -#1555 := (not #1552) -#1578 := (or #1555 #1575) -#1581 := (forall (vars (?x52 T2)) #1578) -#1526 := (and #630 #1348) -#1531 := (not #1526) -#1538 := (or #1531 #1534) -#1541 := (forall (vars (?x50 T2) (?x51 T2)) #1538) -#1544 := (not #1541) -#1584 := (or #1544 #1581) -#1587 := (and #1541 #1584) -#656 := (and #636 #648) -#664 := (not #656) -#1512 := (or #664 #1504) -#1517 := (forall (vars (?x48 T2) (?x49 T2)) #1512) -#1520 := (not #1517) -#1590 := (or #1520 #1587) -#1593 := (and #1517 #1590) -#1498 := (forall (vars (?x47 T2)) #1495) -#1501 := (not #1498) -#1596 := (or #1501 #1593) -#1599 := (and #1498 #1596) -#1602 := (or #1492 #1599) -#1605 := (and #173 #1602) -#642 := (forall (vars (?x46 T2)) #637) -#824 := (not #642) -#1608 := (or #824 #1605) -#1611 := (and #642 #1608) -#1484 := (forall (vars (?x45 T2)) #1479) -#1487 := (not #1484) -#1614 := (or #1487 #1611) -#1617 := (and #1484 #1614) -#1468 := (or #616 #1462) -#1473 := (forall (vars (?x44 T2)) #1468) -#1476 := (not #1473) -#1702 := (or #876 #585 #1476 #1617 #1634 #1652 #1656 #1678) -#1801 := (and #1702 #1796) -#1422 := (= #1424 0::int) -#1419 := (not #1416) -#1432 := (and #505 #1419 #1422) -#1437 := (exists (vars (?x40 T2)) #1432) -#1410 := (and #73 #1407) -#1413 := (not #1410) -#1440 := (or #1413 #1437) -#1443 := (forall (vars (?x39 T2)) #1440) -#1446 := (not #1443) -#1389 := (not #1388) -#1392 := (and #73 #1389) -#1395 := (not #1392) -#1370 := (= #1345 0::int) -#1366 := (not #1322) -#1378 := (and #77 #1366 #1370) -#1383 := (exists (vars (?x33 T2)) #1378) -#1398 := (or #1383 #1395) -#1401 := (forall (vars (?x32 T2)) #1398) -#1857 := (not #1401) -#1878 := (or #1854 #1857 #1446 #1801 #1824 #1840 #1849) -#1883 := (and #1401 #1878) -#1351 := (and #77 #1348) -#1354 := (not #1351) -#1357 := (or #1342 #1354) -#1360 := (forall (vars (?x30 T2) (?x31 T2)) #1357) -#1363 := (not #1360) -#1886 := (or #1363 #1883) -#1889 := (and #1360 #1886) -#454 := (and #78 #84) -#460 := (not #454) -#1329 := (or #460 #1322) -#1334 := (forall (vars (?x28 T2) (?x29 T2)) #1329) -#1337 := (not #1334) -#1892 := (or #1337 #1889) -#1895 := (and #1334 #1892) -#1313 := (>= #69 0::int) -#1314 := (forall (vars (?x27 T2)) #1313) -#1317 := (not #1314) -#1898 := (or #1317 #1895) -#1901 := (and #1314 #1898) -#80 := (uf_12 uf_11) -#81 := (= #80 0::int) -#1308 := (not #81) -#1904 := (or #1308 #1901) -#1907 := (and #81 #1904) -#437 := (= uf_9 #69) -#443 := (or #68 #437) -#448 := (forall (vars (?x25 T2)) #443) -#1277 := (not #448) -#1268 := (not #79) -#1930 := (or #1268 #1277 #1907 #1918) -#1935 := (not #1930) -#82 := (<= 0::int #69) -#83 := (forall (vars (?x27 T2)) #82) -#87 := (<= #86 #69) -#85 := (and #84 #78) -#88 := (implies #85 #87) -#89 := (forall (vars (?x28 T2) (?x29 T2)) #88) -#94 := (+ #69 #91) -#95 := (<= #86 #94) -#92 := (< #91 uf_9) -#93 := (and #92 #77) -#96 := (implies #93 #95) -#97 := (forall (vars (?x30 T2) (?x31 T2)) #96) -#101 := (< #69 #86) -#102 := (and #77 #101) -#100 := (= #86 #94) -#103 := (and #100 #102) -#104 := (exists (vars (?x33 T2)) #103) -#98 := (< #69 uf_9) -#99 := (and #98 #73) -#105 := (implies #99 #104) -#106 := (forall (vars (?x32 T2)) #105) -#241 := (< #235 #238) -#239 := (+ #235 #91) -#240 := (= #238 #239) -#242 := (and #240 #241) -#243 := (exists (vars (?x65 T2)) #242) -#236 := (< #235 uf_9) -#237 := (and #236 #73) -#244 := (implies #237 #243) -#245 := (forall (vars (?x64 T2)) #244) -#247 := (<= #238 #239) -#246 := (and #92 #236) -#248 := (implies #246 #247) -#249 := (forall (vars (?x66 T2) (?x67 T2)) #248) -#1 := true -#252 := (implies #251 true) -#253 := (and #252 #251) -#254 := (implies #249 #253) -#255 := (and #254 #249) -#256 := (implies #245 #255) -#257 := (and #256 #245) -#258 := (implies true #257) -#259 := (implies #234 #258) -#231 := (= uf_22 uf_14) -#260 := (implies #231 #259) -#261 := (implies #229 #260) -#226 := (= uf_19 uf_15) -#262 := (implies #226 #261) -#263 := (implies true #262) -#264 := (implies true #263) -#117 := (= #116 uf_8) -#118 := (not #117) -#129 := (< #110 uf_9) -#138 := (and #129 #118) -#139 := (exists (vars (?x41 T2)) #138) -#224 := (not #139) -#265 := (implies #224 #264) -#266 := (implies true #265) -#267 := (implies true #266) -#166 := (<= #158 #110) -#167 := (forall (vars (?x45 T2)) #166) -#163 := (= #158 #110) -#169 := (= #168 uf_8) -#170 := (implies #169 #163) -#171 := (forall (vars (?x46 T2)) #170) -#174 := (<= 0::int #158) -#175 := (forall (vars (?x47 T2)) #174) -#181 := (<= #180 #158) -#178 := (not #169) -#177 := (= #176 uf_8) -#179 := (and #177 #178) -#182 := (implies #179 #181) -#183 := (forall (vars (?x48 T2) (?x49 T2)) #182) -#185 := (+ #158 #91) -#186 := (<= #180 #185) -#184 := (and #92 #169) -#187 := (implies #184 #186) -#188 := (forall (vars (?x50 T2) (?x51 T2)) #187) -#192 := (< #158 #180) -#193 := (and #169 #192) -#191 := (= #180 #185) -#194 := (and #191 #193) -#195 := (exists (vars (?x53 T2)) #194) -#189 := (< #158 uf_9) -#190 := (and #189 #73) -#196 := (implies #190 #195) -#197 := (forall (vars (?x52 T2)) #196) -#198 := (implies false true) -#199 := (implies #197 #198) -#200 := (and #199 #197) -#201 := (implies #188 #200) -#202 := (and #201 #188) -#203 := (implies #183 #202) -#204 := (and #203 #183) -#205 := (implies #175 #204) -#206 := (and #205 #175) -#207 := (implies #173 #206) -#208 := (and #207 #173) -#209 := (implies true #208) -#210 := (implies true #209) -#211 := (implies #171 #210) -#212 := (and #211 #171) -#213 := (implies #167 #212) -#214 := (and #213 #167) -#156 := (< #153 uf_9) -#154 := (+ #144 #153) -#155 := (< #154 #110) -#157 := (and #155 #156) -#162 := (not #157) -#164 := (implies #162 #163) -#165 := (forall (vars (?x44 T2)) #164) -#215 := (implies #165 #214) -#159 := (= #158 #154) -#160 := (implies #157 #159) -#161 := (forall (vars (?x43 T2)) #160) -#216 := (implies #161 #215) -#217 := (implies #151 #216) -#146 := (<= #144 #110) -#147 := (implies #118 #146) -#148 := (forall (vars (?x42 T2)) #147) -#218 := (implies #148 #217) -#145 := (< #144 uf_9) -#219 := (implies #145 #218) -#142 := (= #141 uf_8) -#143 := (not #142) -#220 := (implies #143 #219) -#221 := (implies #139 #220) -#222 := (implies true #221) -#223 := (implies true #222) -#268 := (and #223 #267) -#269 := (implies true #268) -#132 := (< #110 #120) -#133 := (and #117 #132) -#125 := (+ #110 #91) -#131 := (= #120 #125) -#134 := (and #131 #133) -#135 := (exists (vars (?x40 T2)) #134) -#130 := (and #129 #73) -#136 := (implies #130 #135) -#137 := (forall (vars (?x39 T2)) #136) -#270 := (implies #137 #269) -#126 := (<= #120 #125) -#124 := (and #92 #117) -#127 := (implies #124 #126) -#128 := (forall (vars (?x37 T2) (?x38 T2)) #127) -#271 := (implies #128 #270) -#121 := (<= #120 #110) -#115 := (= #114 uf_8) -#119 := (and #115 #118) -#122 := (implies #119 #121) -#123 := (forall (vars (?x35 T2) (?x36 T2)) #122) -#272 := (implies #123 #271) -#111 := (<= 0::int #110) -#112 := (forall (vars (?x34 T2)) #111) -#273 := (implies #112 #272) -#274 := (implies #109 #273) -#275 := (implies true #274) -#276 := (implies true #275) -#277 := (implies #106 #276) -#278 := (and #277 #106) -#279 := (implies #97 #278) -#280 := (and #279 #97) -#281 := (implies #89 #280) -#282 := (and #281 #89) -#283 := (implies #83 #282) -#284 := (and #283 #83) -#285 := (implies #81 #284) -#286 := (and #285 #81) -#287 := (implies true #286) -#288 := (implies #79 #287) -#74 := (= #69 uf_9) -#75 := (implies #73 #74) -#76 := (forall (vars (?x25 T2)) #75) -#289 := (implies #76 #288) -#71 := (implies #68 #70) -#72 := (forall (vars (?x24 T2)) #71) -#290 := (implies #72 #289) -#291 := (implies true #290) -#292 := (implies true #291) -#293 := (not #292) -#1938 := (iff #293 #1935) -#983 := (= 0::int #250) -#939 := (+ #91 #235) -#968 := (<= #238 #939) -#974 := (not #246) -#975 := (or #974 #968) -#980 := (forall (vars (?x66 T2) (?x67 T2)) #975) -#1003 := (not #980) -#1004 := (or #1003 #983) -#1012 := (and #980 #1004) -#942 := (= #238 #939) -#948 := (and #241 #942) -#953 := (exists (vars (?x65 T2)) #948) -#936 := (and #73 #236) -#959 := (not #936) -#960 := (or #959 #953) -#965 := (forall (vars (?x64 T2)) #960) -#1020 := (not #965) -#1021 := (or #1020 #1012) -#1029 := (and #965 #1021) -#1045 := (or #1044 #1029) -#1054 := (or #1053 #1045) -#1063 := (or #1062 #1054) -#1072 := (or #1071 #1063) -#579 := (and #129 #508) -#582 := (exists (vars (?x41 T2)) #579) -#1091 := (or #582 #1072) -#703 := (and #192 #630) -#676 := (+ #91 #158) -#697 := (= #180 #676) -#708 := (and #697 #703) -#711 := (exists (vars (?x53 T2)) #708) -#694 := (and #73 #189) -#717 := (not #694) -#718 := (or #717 #711) -#723 := (forall (vars (?x52 T2)) #718) -#679 := (<= #180 #676) -#673 := (and #92 #630) -#685 := (not #673) -#686 := (or #685 #679) -#691 := (forall (vars (?x50 T2) (?x51 T2)) #686) -#745 := (not #691) -#746 := (or #745 #723) -#754 := (and #691 #746) -#665 := (or #181 #664) -#670 := (forall (vars (?x48 T2) (?x49 T2)) #665) -#762 := (not #670) -#763 := (or #762 #754) -#771 := (and #670 #763) -#779 := (not #175) -#780 := (or #779 #771) -#788 := (and #175 #780) -#645 := (= 0::int #172) -#796 := (not #645) -#797 := (or #796 #788) -#805 := (and #645 #797) -#825 := (or #824 #805) -#833 := (and #642 #825) -#841 := (not #167) -#842 := (or #841 #833) -#850 := (and #167 #842) -#622 := (or #157 #616) -#627 := (forall (vars (?x44 T2)) #622) -#858 := (not #627) -#859 := (or #858 #850) -#602 := (= #154 #158) -#608 := (or #162 #602) -#613 := (forall (vars (?x43 T2)) #608) -#867 := (not #613) -#868 := (or #867 #859) -#877 := (or #876 #868) -#594 := (or #146 #505) -#599 := (forall (vars (?x42 T2)) #594) -#885 := (not #599) -#886 := (or #885 #877) -#894 := (not #145) -#895 := (or #894 #886) -#903 := (or #585 #895) -#911 := (not #582) -#912 := (or #911 #903) -#1107 := (and #912 #1091) -#556 := (and #132 #505) -#529 := (+ #91 #110) -#550 := (= #120 #529) -#561 := (and #550 #556) -#564 := (exists (vars (?x40 T2)) #561) -#547 := (and #73 #129) -#570 := (not #547) -#571 := (or #570 #564) -#576 := (forall (vars (?x39 T2)) #571) -#1120 := (not #576) -#1121 := (or #1120 #1107) -#532 := (<= #120 #529) -#526 := (and #92 #505) -#538 := (not #526) -#539 := (or #538 #532) -#544 := (forall (vars (?x37 T2) (?x38 T2)) #539) -#1129 := (not #544) -#1130 := (or #1129 #1121) -#518 := (or #121 #517) -#523 := (forall (vars (?x35 T2) (?x36 T2)) #518) -#1138 := (not #523) -#1139 := (or #1138 #1130) -#1147 := (not #112) -#1148 := (or #1147 #1139) -#499 := (= 0::int #108) -#1156 := (not #499) -#1157 := (or #1156 #1148) -#484 := (and #73 #98) -#490 := (not #484) -#491 := (or #104 #490) -#496 := (forall (vars (?x32 T2)) #491) -#1176 := (not #496) -#1177 := (or #1176 #1157) -#1185 := (and #496 #1177) -#469 := (and #77 #92) -#475 := (not #469) -#476 := (or #95 #475) -#481 := (forall (vars (?x30 T2) (?x31 T2)) #476) -#1193 := (not #481) -#1194 := (or #1193 #1185) -#1202 := (and #481 #1194) -#461 := (or #87 #460) -#466 := (forall (vars (?x28 T2) (?x29 T2)) #461) -#1210 := (not #466) -#1211 := (or #1210 #1202) -#1219 := (and #466 #1211) -#1227 := (not #83) -#1228 := (or #1227 #1219) -#1236 := (and #83 #1228) -#451 := (= 0::int #80) -#1244 := (not #451) -#1245 := (or #1244 #1236) -#1253 := (and #451 #1245) -#1269 := (or #1268 #1253) -#1278 := (or #1277 #1269) -#423 := (= 0::int #69) -#429 := (or #73 #423) -#434 := (forall (vars (?x24 T2)) #429) -#1286 := (not #434) -#1287 := (or #1286 #1278) -#1303 := (not #1287) -#1936 := (iff #1303 #1935) -#1933 := (iff #1287 #1930) -#1921 := (or #1268 #1907) -#1924 := (or #1277 #1921) -#1927 := (or #1918 #1924) -#1931 := (iff #1927 #1930) -#1932 := [rewrite]: #1931 -#1928 := (iff #1287 #1927) -#1925 := (iff #1278 #1924) -#1922 := (iff #1269 #1921) -#1908 := (iff #1253 #1907) -#1905 := (iff #1245 #1904) -#1902 := (iff #1236 #1901) -#1899 := (iff #1228 #1898) -#1896 := (iff #1219 #1895) -#1893 := (iff #1211 #1892) -#1890 := (iff #1202 #1889) -#1887 := (iff #1194 #1886) -#1884 := (iff #1185 #1883) -#1881 := (iff #1177 #1878) -#1860 := (or #1446 #1801) -#1863 := (or #1824 #1860) -#1866 := (or #1840 #1863) -#1869 := (or #1849 #1866) -#1872 := (or #1854 #1869) -#1875 := (or #1857 #1872) -#1879 := (iff #1875 #1878) -#1880 := [rewrite]: #1879 -#1876 := (iff #1177 #1875) -#1873 := (iff #1157 #1872) -#1870 := (iff #1148 #1869) -#1867 := (iff #1139 #1866) -#1864 := (iff #1130 #1863) -#1861 := (iff #1121 #1860) -#1802 := (iff #1107 #1801) -#1799 := (iff #1091 #1796) -#1781 := (or #1044 #1778) -#1784 := (or #1053 #1781) -#1787 := (or #1062 #1784) -#1790 := (or #1071 #1787) -#1793 := (or #1675 #1790) -#1797 := (iff #1793 #1796) -#1798 := [rewrite]: #1797 -#1794 := (iff #1091 #1793) -#1791 := (iff #1072 #1790) -#1788 := (iff #1063 #1787) -#1785 := (iff #1054 #1784) -#1782 := (iff #1045 #1781) -#1779 := (iff #1029 #1778) -#1776 := (iff #1021 #1775) -#1773 := (iff #1012 #1772) -#1770 := (iff #1004 #1767) -#1764 := (or #1759 #251) -#1768 := (iff #1764 #1767) -#1769 := [rewrite]: #1768 -#1765 := (iff #1004 #1764) -#1762 := (iff #983 #251) -#1763 := [rewrite]: #1762 -#1760 := (iff #1003 #1759) -#1757 := (iff #980 #1756) -#1754 := (iff #975 #1753) -#1751 := (iff #968 #1750) -#1752 := [rewrite]: #1751 -#1748 := (iff #974 #1747) -#1745 := (iff #246 #1744) -#1711 := (iff #236 #1710) -#1712 := [rewrite]: #1711 -#1349 := (iff #92 #1348) -#1350 := [rewrite]: #1349 -#1746 := [monotonicity #1350 #1712]: #1745 -#1749 := [monotonicity #1746]: #1748 -#1755 := [monotonicity #1749 #1752]: #1754 -#1758 := [quant-intro #1755]: #1757 -#1761 := [monotonicity #1758]: #1760 -#1766 := [monotonicity #1761 #1763]: #1765 -#1771 := [trans #1766 #1769]: #1770 -#1774 := [monotonicity #1758 #1771]: #1773 -#1742 := (iff #1020 #1741) -#1739 := (iff #965 #1738) -#1736 := (iff #960 #1735) -#1733 := (iff #953 #1732) -#1730 := (iff #948 #1729) -#1726 := (iff #942 #1725) -#1728 := [rewrite]: #1726 -#1723 := (iff #241 #1722) -#1724 := [rewrite]: #1723 -#1731 := [monotonicity #1724 #1728]: #1730 -#1734 := [quant-intro #1731]: #1733 -#1717 := (iff #959 #1716) -#1714 := (iff #936 #1713) -#1715 := [monotonicity #1712]: #1714 -#1718 := [monotonicity #1715]: #1717 -#1737 := [monotonicity #1718 #1734]: #1736 -#1740 := [quant-intro #1737]: #1739 -#1743 := [monotonicity #1740]: #1742 -#1777 := [monotonicity #1743 #1774]: #1776 -#1780 := [monotonicity #1740 #1777]: #1779 -#1783 := [monotonicity #1780]: #1782 -#1786 := [monotonicity #1783]: #1785 -#1789 := [monotonicity #1786]: #1788 -#1792 := [monotonicity #1789]: #1791 -#1676 := (iff #582 #1675) -#1673 := (iff #579 #1670) -#1667 := (and #1407 #508) -#1671 := (iff #1667 #1670) -#1672 := [rewrite]: #1671 -#1668 := (iff #579 #1667) -#1408 := (iff #129 #1407) -#1409 := [rewrite]: #1408 -#1669 := [monotonicity #1409]: #1668 -#1674 := [trans #1669 #1672]: #1673 -#1677 := [quant-intro #1674]: #1676 -#1795 := [monotonicity #1677 #1792]: #1794 -#1800 := [trans #1795 #1798]: #1799 -#1705 := (iff #912 #1702) -#1681 := (or #1476 #1617) -#1684 := (or #1634 #1681) -#1687 := (or #876 #1684) -#1690 := (or #1652 #1687) -#1693 := (or #1656 #1690) -#1696 := (or #585 #1693) -#1699 := (or #1678 #1696) -#1703 := (iff #1699 #1702) -#1704 := [rewrite]: #1703 -#1700 := (iff #912 #1699) -#1697 := (iff #903 #1696) -#1694 := (iff #895 #1693) -#1691 := (iff #886 #1690) -#1688 := (iff #877 #1687) -#1685 := (iff #868 #1684) -#1682 := (iff #859 #1681) -#1618 := (iff #850 #1617) -#1615 := (iff #842 #1614) -#1612 := (iff #833 #1611) -#1609 := (iff #825 #1608) -#1606 := (iff #805 #1605) -#1603 := (iff #797 #1602) -#1600 := (iff #788 #1599) -#1597 := (iff #780 #1596) -#1594 := (iff #771 #1593) -#1591 := (iff #763 #1590) -#1588 := (iff #754 #1587) -#1585 := (iff #746 #1584) -#1582 := (iff #723 #1581) -#1579 := (iff #718 #1578) -#1576 := (iff #711 #1575) -#1573 := (iff #708 #1570) -#1564 := (and #1558 #630) -#1567 := (and #1561 #1564) -#1571 := (iff #1567 #1570) -#1572 := [rewrite]: #1571 -#1568 := (iff #708 #1567) -#1565 := (iff #703 #1564) -#1559 := (iff #192 #1558) -#1560 := [rewrite]: #1559 -#1566 := [monotonicity #1560]: #1565 -#1562 := (iff #697 #1561) -#1563 := [rewrite]: #1562 -#1569 := [monotonicity #1563 #1566]: #1568 -#1574 := [trans #1569 #1572]: #1573 -#1577 := [quant-intro #1574]: #1576 -#1556 := (iff #717 #1555) -#1553 := (iff #694 #1552) -#1550 := (iff #189 #1549) -#1551 := [rewrite]: #1550 -#1554 := [monotonicity #1551]: #1553 -#1557 := [monotonicity #1554]: #1556 -#1580 := [monotonicity #1557 #1577]: #1579 -#1583 := [quant-intro #1580]: #1582 -#1545 := (iff #745 #1544) -#1542 := (iff #691 #1541) -#1539 := (iff #686 #1538) -#1535 := (iff #679 #1534) -#1537 := [rewrite]: #1535 -#1532 := (iff #685 #1531) -#1529 := (iff #673 #1526) -#1523 := (and #1348 #630) -#1527 := (iff #1523 #1526) -#1528 := [rewrite]: #1527 -#1524 := (iff #673 #1523) -#1525 := [monotonicity #1350]: #1524 -#1530 := [trans #1525 #1528]: #1529 -#1533 := [monotonicity #1530]: #1532 -#1540 := [monotonicity #1533 #1537]: #1539 -#1543 := [quant-intro #1540]: #1542 -#1546 := [monotonicity #1543]: #1545 -#1586 := [monotonicity #1546 #1583]: #1585 -#1589 := [monotonicity #1543 #1586]: #1588 -#1521 := (iff #762 #1520) -#1518 := (iff #670 #1517) -#1515 := (iff #665 #1512) -#1509 := (or #1504 #664) -#1513 := (iff #1509 #1512) -#1514 := [rewrite]: #1513 -#1510 := (iff #665 #1509) -#1507 := (iff #181 #1504) -#1508 := [rewrite]: #1507 -#1511 := [monotonicity #1508]: #1510 -#1516 := [trans #1511 #1514]: #1515 -#1519 := [quant-intro #1516]: #1518 -#1522 := [monotonicity #1519]: #1521 -#1592 := [monotonicity #1522 #1589]: #1591 -#1595 := [monotonicity #1519 #1592]: #1594 -#1502 := (iff #779 #1501) -#1499 := (iff #175 #1498) -#1496 := (iff #174 #1495) -#1497 := [rewrite]: #1496 -#1500 := [quant-intro #1497]: #1499 -#1503 := [monotonicity #1500]: #1502 -#1598 := [monotonicity #1503 #1595]: #1597 -#1601 := [monotonicity #1500 #1598]: #1600 -#1493 := (iff #796 #1492) -#1490 := (iff #645 #173) -#1491 := [rewrite]: #1490 -#1494 := [monotonicity #1491]: #1493 -#1604 := [monotonicity #1494 #1601]: #1603 -#1607 := [monotonicity #1491 #1604]: #1606 -#1610 := [monotonicity #1607]: #1609 -#1613 := [monotonicity #1610]: #1612 -#1488 := (iff #841 #1487) -#1485 := (iff #167 #1484) -#1482 := (iff #166 #1479) -#1483 := [rewrite]: #1482 -#1486 := [quant-intro #1483]: #1485 -#1489 := [monotonicity #1486]: #1488 -#1616 := [monotonicity #1489 #1613]: #1615 -#1619 := [monotonicity #1486 #1616]: #1618 -#1477 := (iff #858 #1476) -#1474 := (iff #627 #1473) -#1471 := (iff #622 #1468) -#1465 := (or #1462 #616) -#1469 := (iff #1465 #1468) -#1470 := [rewrite]: #1469 -#1466 := (iff #622 #1465) -#1463 := (iff #157 #1462) -#1460 := (iff #156 #1459) -#1461 := [rewrite]: #1460 -#1455 := (iff #155 #1454) -#1456 := [rewrite]: #1455 -#1464 := [monotonicity #1456 #1461]: #1463 -#1467 := [monotonicity #1464]: #1466 -#1472 := [trans #1467 #1470]: #1471 -#1475 := [quant-intro #1472]: #1474 -#1478 := [monotonicity #1475]: #1477 -#1683 := [monotonicity #1478 #1619]: #1682 -#1635 := (iff #867 #1634) -#1632 := (iff #613 #1631) -#1629 := (iff #608 #1628) -#1626 := (iff #602 #1625) -#1627 := [rewrite]: #1626 -#1621 := (iff #162 #1620) -#1622 := [monotonicity #1464]: #1621 -#1630 := [monotonicity #1622 #1627]: #1629 -#1633 := [quant-intro #1630]: #1632 -#1636 := [monotonicity #1633]: #1635 -#1686 := [monotonicity #1636 #1683]: #1685 -#1689 := [monotonicity #1686]: #1688 -#1653 := (iff #885 #1652) -#1650 := (iff #599 #1649) -#1647 := (iff #594 #1644) -#1641 := (or #1637 #505) -#1645 := (iff #1641 #1644) -#1646 := [rewrite]: #1645 -#1642 := (iff #594 #1641) -#1639 := (iff #146 #1637) -#1640 := [rewrite]: #1639 -#1643 := [monotonicity #1640]: #1642 -#1648 := [trans #1643 #1646]: #1647 -#1651 := [quant-intro #1648]: #1650 -#1654 := [monotonicity #1651]: #1653 -#1692 := [monotonicity #1654 #1689]: #1691 -#1665 := (iff #894 #1656) -#1657 := (not #1656) -#1660 := (not #1657) -#1663 := (iff #1660 #1656) -#1664 := [rewrite]: #1663 -#1661 := (iff #894 #1660) -#1658 := (iff #145 #1657) -#1659 := [rewrite]: #1658 -#1662 := [monotonicity #1659]: #1661 -#1666 := [trans #1662 #1664]: #1665 -#1695 := [monotonicity #1666 #1692]: #1694 -#1698 := [monotonicity #1695]: #1697 -#1679 := (iff #911 #1678) -#1680 := [monotonicity #1677]: #1679 -#1701 := [monotonicity #1680 #1698]: #1700 -#1706 := [trans #1701 #1704]: #1705 -#1803 := [monotonicity #1706 #1800]: #1802 -#1447 := (iff #1120 #1446) -#1444 := (iff #576 #1443) -#1441 := (iff #571 #1440) -#1438 := (iff #564 #1437) -#1435 := (iff #561 #1432) -#1426 := (and #1419 #505) -#1429 := (and #1422 #1426) -#1433 := (iff #1429 #1432) -#1434 := [rewrite]: #1433 -#1430 := (iff #561 #1429) -#1427 := (iff #556 #1426) -#1420 := (iff #132 #1419) -#1421 := [rewrite]: #1420 -#1428 := [monotonicity #1421]: #1427 -#1423 := (iff #550 #1422) -#1425 := [rewrite]: #1423 -#1431 := [monotonicity #1425 #1428]: #1430 -#1436 := [trans #1431 #1434]: #1435 -#1439 := [quant-intro #1436]: #1438 -#1414 := (iff #570 #1413) -#1411 := (iff #547 #1410) -#1412 := [monotonicity #1409]: #1411 -#1415 := [monotonicity #1412]: #1414 -#1442 := [monotonicity #1415 #1439]: #1441 -#1445 := [quant-intro #1442]: #1444 -#1448 := [monotonicity #1445]: #1447 -#1862 := [monotonicity #1448 #1803]: #1861 -#1825 := (iff #1129 #1824) -#1822 := (iff #544 #1821) -#1819 := (iff #539 #1818) -#1816 := (iff #532 #1815) -#1817 := [rewrite]: #1816 -#1813 := (iff #538 #1812) -#1810 := (iff #526 #1807) -#1804 := (and #1348 #505) -#1808 := (iff #1804 #1807) -#1809 := [rewrite]: #1808 -#1805 := (iff #526 #1804) -#1806 := [monotonicity #1350]: #1805 -#1811 := [trans #1806 #1809]: #1810 -#1814 := [monotonicity #1811]: #1813 -#1820 := [monotonicity #1814 #1817]: #1819 -#1823 := [quant-intro #1820]: #1822 -#1826 := [monotonicity #1823]: #1825 -#1865 := [monotonicity #1826 #1862]: #1864 -#1841 := (iff #1138 #1840) -#1838 := (iff #523 #1837) -#1835 := (iff #518 #1832) -#1829 := (or #1416 #517) -#1833 := (iff #1829 #1832) -#1834 := [rewrite]: #1833 -#1830 := (iff #518 #1829) -#1827 := (iff #121 #1416) -#1828 := [rewrite]: #1827 -#1831 := [monotonicity #1828]: #1830 -#1836 := [trans #1831 #1834]: #1835 -#1839 := [quant-intro #1836]: #1838 -#1842 := [monotonicity #1839]: #1841 -#1868 := [monotonicity #1842 #1865]: #1867 -#1850 := (iff #1147 #1849) -#1847 := (iff #112 #1846) -#1844 := (iff #111 #1843) -#1845 := [rewrite]: #1844 -#1848 := [quant-intro #1845]: #1847 -#1851 := [monotonicity #1848]: #1850 -#1871 := [monotonicity #1851 #1868]: #1870 -#1855 := (iff #1156 #1854) -#1852 := (iff #499 #109) -#1853 := [rewrite]: #1852 -#1856 := [monotonicity #1853]: #1855 -#1874 := [monotonicity #1856 #1871]: #1873 -#1858 := (iff #1176 #1857) -#1402 := (iff #496 #1401) -#1399 := (iff #491 #1398) -#1396 := (iff #490 #1395) -#1393 := (iff #484 #1392) -#1390 := (iff #98 #1389) -#1391 := [rewrite]: #1390 -#1394 := [monotonicity #1391]: #1393 -#1397 := [monotonicity #1394]: #1396 -#1384 := (iff #104 #1383) -#1381 := (iff #103 #1378) -#1372 := (and #77 #1366) -#1375 := (and #1370 #1372) -#1379 := (iff #1375 #1378) -#1380 := [rewrite]: #1379 -#1376 := (iff #103 #1375) -#1373 := (iff #102 #1372) -#1367 := (iff #101 #1366) -#1368 := [rewrite]: #1367 -#1374 := [monotonicity #1368]: #1373 -#1369 := (iff #100 #1370) -#1371 := [rewrite]: #1369 -#1377 := [monotonicity #1371 #1374]: #1376 -#1382 := [trans #1377 #1380]: #1381 -#1385 := [quant-intro #1382]: #1384 -#1400 := [monotonicity #1385 #1397]: #1399 -#1403 := [quant-intro #1400]: #1402 -#1859 := [monotonicity #1403]: #1858 -#1877 := [monotonicity #1859 #1874]: #1876 -#1882 := [trans #1877 #1880]: #1881 -#1885 := [monotonicity #1403 #1882]: #1884 -#1364 := (iff #1193 #1363) -#1361 := (iff #481 #1360) -#1358 := (iff #476 #1357) -#1355 := (iff #475 #1354) -#1352 := (iff #469 #1351) -#1353 := [monotonicity #1350]: #1352 -#1356 := [monotonicity #1353]: #1355 -#1341 := (iff #95 #1342) -#1340 := [rewrite]: #1341 -#1359 := [monotonicity #1340 #1356]: #1358 -#1362 := [quant-intro #1359]: #1361 -#1365 := [monotonicity #1362]: #1364 -#1888 := [monotonicity #1365 #1885]: #1887 -#1891 := [monotonicity #1362 #1888]: #1890 -#1338 := (iff #1210 #1337) -#1335 := (iff #466 #1334) -#1332 := (iff #461 #1329) -#1326 := (or #1322 #460) -#1330 := (iff #1326 #1329) -#1331 := [rewrite]: #1330 -#1327 := (iff #461 #1326) -#1321 := (iff #87 #1322) -#1325 := [rewrite]: #1321 -#1328 := [monotonicity #1325]: #1327 -#1333 := [trans #1328 #1331]: #1332 -#1336 := [quant-intro #1333]: #1335 -#1339 := [monotonicity #1336]: #1338 -#1894 := [monotonicity #1339 #1891]: #1893 -#1897 := [monotonicity #1336 #1894]: #1896 -#1318 := (iff #1227 #1317) -#1315 := (iff #83 #1314) -#1311 := (iff #82 #1313) -#1312 := [rewrite]: #1311 -#1316 := [quant-intro #1312]: #1315 -#1319 := [monotonicity #1316]: #1318 -#1900 := [monotonicity #1319 #1897]: #1899 -#1903 := [monotonicity #1316 #1900]: #1902 -#1309 := (iff #1244 #1308) -#1306 := (iff #451 #81) -#1307 := [rewrite]: #1306 -#1310 := [monotonicity #1307]: #1309 -#1906 := [monotonicity #1310 #1903]: #1905 -#1909 := [monotonicity #1307 #1906]: #1908 -#1923 := [monotonicity #1909]: #1922 -#1926 := [monotonicity #1923]: #1925 -#1919 := (iff #1286 #1918) -#1916 := (iff #434 #1915) -#1913 := (iff #429 #1912) -#1910 := (iff #423 #70) -#1911 := [rewrite]: #1910 -#1914 := [monotonicity #1911]: #1913 -#1917 := [quant-intro #1914]: #1916 -#1920 := [monotonicity #1917]: #1919 -#1929 := [monotonicity #1920 #1926]: #1928 -#1934 := [trans #1929 #1932]: #1933 -#1937 := [monotonicity #1934]: #1936 -#1304 := (iff #293 #1303) -#1301 := (iff #292 #1287) -#1292 := (implies true #1287) -#1295 := (iff #1292 #1287) -#1296 := [rewrite]: #1295 -#1299 := (iff #292 #1292) -#1297 := (iff #291 #1287) -#1293 := (iff #291 #1292) -#1290 := (iff #290 #1287) -#1283 := (implies #434 #1278) -#1288 := (iff #1283 #1287) -#1289 := [rewrite]: #1288 -#1284 := (iff #290 #1283) -#1281 := (iff #289 #1278) -#1274 := (implies #448 #1269) -#1279 := (iff #1274 #1278) -#1280 := [rewrite]: #1279 -#1275 := (iff #289 #1274) -#1272 := (iff #288 #1269) -#1265 := (implies #79 #1253) -#1270 := (iff #1265 #1269) -#1271 := [rewrite]: #1270 -#1266 := (iff #288 #1265) -#1263 := (iff #287 #1253) -#1258 := (implies true #1253) -#1261 := (iff #1258 #1253) -#1262 := [rewrite]: #1261 -#1259 := (iff #287 #1258) -#1256 := (iff #286 #1253) -#1250 := (and #1245 #451) -#1254 := (iff #1250 #1253) -#1255 := [rewrite]: #1254 -#1251 := (iff #286 #1250) -#452 := (iff #81 #451) -#453 := [rewrite]: #452 -#1248 := (iff #285 #1245) -#1241 := (implies #451 #1236) -#1246 := (iff #1241 #1245) -#1247 := [rewrite]: #1246 -#1242 := (iff #285 #1241) -#1239 := (iff #284 #1236) -#1233 := (and #1228 #83) -#1237 := (iff #1233 #1236) -#1238 := [rewrite]: #1237 -#1234 := (iff #284 #1233) -#1231 := (iff #283 #1228) -#1224 := (implies #83 #1219) -#1229 := (iff #1224 #1228) -#1230 := [rewrite]: #1229 -#1225 := (iff #283 #1224) -#1222 := (iff #282 #1219) -#1216 := (and #1211 #466) -#1220 := (iff #1216 #1219) -#1221 := [rewrite]: #1220 -#1217 := (iff #282 #1216) -#467 := (iff #89 #466) -#464 := (iff #88 #461) -#457 := (implies #454 #87) -#462 := (iff #457 #461) -#463 := [rewrite]: #462 -#458 := (iff #88 #457) -#455 := (iff #85 #454) -#456 := [rewrite]: #455 -#459 := [monotonicity #456]: #458 -#465 := [trans #459 #463]: #464 -#468 := [quant-intro #465]: #467 -#1214 := (iff #281 #1211) -#1207 := (implies #466 #1202) -#1212 := (iff #1207 #1211) -#1213 := [rewrite]: #1212 -#1208 := (iff #281 #1207) -#1205 := (iff #280 #1202) -#1199 := (and #1194 #481) -#1203 := (iff #1199 #1202) -#1204 := [rewrite]: #1203 -#1200 := (iff #280 #1199) -#482 := (iff #97 #481) -#479 := (iff #96 #476) -#472 := (implies #469 #95) -#477 := (iff #472 #476) -#478 := [rewrite]: #477 -#473 := (iff #96 #472) -#470 := (iff #93 #469) -#471 := [rewrite]: #470 -#474 := [monotonicity #471]: #473 -#480 := [trans #474 #478]: #479 -#483 := [quant-intro #480]: #482 -#1197 := (iff #279 #1194) -#1190 := (implies #481 #1185) -#1195 := (iff #1190 #1194) -#1196 := [rewrite]: #1195 -#1191 := (iff #279 #1190) -#1188 := (iff #278 #1185) -#1182 := (and #1177 #496) -#1186 := (iff #1182 #1185) -#1187 := [rewrite]: #1186 -#1183 := (iff #278 #1182) -#497 := (iff #106 #496) -#494 := (iff #105 #491) -#487 := (implies #484 #104) -#492 := (iff #487 #491) -#493 := [rewrite]: #492 -#488 := (iff #105 #487) -#485 := (iff #99 #484) -#486 := [rewrite]: #485 -#489 := [monotonicity #486]: #488 -#495 := [trans #489 #493]: #494 -#498 := [quant-intro #495]: #497 -#1180 := (iff #277 #1177) -#1173 := (implies #496 #1157) -#1178 := (iff #1173 #1177) -#1179 := [rewrite]: #1178 -#1174 := (iff #277 #1173) -#1171 := (iff #276 #1157) -#1162 := (implies true #1157) -#1165 := (iff #1162 #1157) -#1166 := [rewrite]: #1165 -#1169 := (iff #276 #1162) -#1167 := (iff #275 #1157) -#1163 := (iff #275 #1162) -#1160 := (iff #274 #1157) -#1153 := (implies #499 #1148) -#1158 := (iff #1153 #1157) -#1159 := [rewrite]: #1158 -#1154 := (iff #274 #1153) -#1151 := (iff #273 #1148) -#1144 := (implies #112 #1139) -#1149 := (iff #1144 #1148) -#1150 := [rewrite]: #1149 -#1145 := (iff #273 #1144) -#1142 := (iff #272 #1139) -#1135 := (implies #523 #1130) -#1140 := (iff #1135 #1139) -#1141 := [rewrite]: #1140 -#1136 := (iff #272 #1135) -#1133 := (iff #271 #1130) -#1126 := (implies #544 #1121) -#1131 := (iff #1126 #1130) -#1132 := [rewrite]: #1131 -#1127 := (iff #271 #1126) -#1124 := (iff #270 #1121) -#1117 := (implies #576 #1107) -#1122 := (iff #1117 #1121) -#1123 := [rewrite]: #1122 -#1118 := (iff #270 #1117) -#1115 := (iff #269 #1107) -#1110 := (implies true #1107) -#1113 := (iff #1110 #1107) -#1114 := [rewrite]: #1113 -#1111 := (iff #269 #1110) -#1108 := (iff #268 #1107) -#1105 := (iff #267 #1091) -#1096 := (implies true #1091) -#1099 := (iff #1096 #1091) -#1100 := [rewrite]: #1099 -#1103 := (iff #267 #1096) -#1101 := (iff #266 #1091) -#1097 := (iff #266 #1096) -#1094 := (iff #265 #1091) -#1088 := (implies #911 #1072) -#1092 := (iff #1088 #1091) -#1093 := [rewrite]: #1092 -#1089 := (iff #265 #1088) -#1086 := (iff #264 #1072) -#1077 := (implies true #1072) -#1080 := (iff #1077 #1072) -#1081 := [rewrite]: #1080 -#1084 := (iff #264 #1077) -#1082 := (iff #263 #1072) -#1078 := (iff #263 #1077) -#1075 := (iff #262 #1072) -#1068 := (implies #930 #1063) -#1073 := (iff #1068 #1072) -#1074 := [rewrite]: #1073 -#1069 := (iff #262 #1068) -#1066 := (iff #261 #1063) -#1059 := (implies #229 #1054) -#1064 := (iff #1059 #1063) -#1065 := [rewrite]: #1064 -#1060 := (iff #261 #1059) -#1057 := (iff #260 #1054) -#1050 := (implies #933 #1045) -#1055 := (iff #1050 #1054) -#1056 := [rewrite]: #1055 -#1051 := (iff #260 #1050) -#1048 := (iff #259 #1045) -#1041 := (implies #234 #1029) -#1046 := (iff #1041 #1045) -#1047 := [rewrite]: #1046 -#1042 := (iff #259 #1041) -#1039 := (iff #258 #1029) -#1034 := (implies true #1029) -#1037 := (iff #1034 #1029) -#1038 := [rewrite]: #1037 -#1035 := (iff #258 #1034) -#1032 := (iff #257 #1029) -#1026 := (and #1021 #965) -#1030 := (iff #1026 #1029) -#1031 := [rewrite]: #1030 -#1027 := (iff #257 #1026) -#966 := (iff #245 #965) -#963 := (iff #244 #960) -#956 := (implies #936 #953) -#961 := (iff #956 #960) -#962 := [rewrite]: #961 -#957 := (iff #244 #956) -#954 := (iff #243 #953) -#951 := (iff #242 #948) -#945 := (and #942 #241) -#949 := (iff #945 #948) -#950 := [rewrite]: #949 -#946 := (iff #242 #945) -#943 := (iff #240 #942) -#940 := (= #239 #939) -#941 := [rewrite]: #940 -#944 := [monotonicity #941]: #943 -#947 := [monotonicity #944]: #946 -#952 := [trans #947 #950]: #951 -#955 := [quant-intro #952]: #954 -#937 := (iff #237 #936) -#938 := [rewrite]: #937 -#958 := [monotonicity #938 #955]: #957 -#964 := [trans #958 #962]: #963 -#967 := [quant-intro #964]: #966 -#1024 := (iff #256 #1021) -#1017 := (implies #965 #1012) -#1022 := (iff #1017 #1021) -#1023 := [rewrite]: #1022 -#1018 := (iff #256 #1017) -#1015 := (iff #255 #1012) -#1009 := (and #1004 #980) -#1013 := (iff #1009 #1012) -#1014 := [rewrite]: #1013 -#1010 := (iff #255 #1009) -#981 := (iff #249 #980) -#978 := (iff #248 #975) -#971 := (implies #246 #968) -#976 := (iff #971 #975) -#977 := [rewrite]: #976 -#972 := (iff #248 #971) -#969 := (iff #247 #968) -#970 := [monotonicity #941]: #969 -#973 := [monotonicity #970]: #972 -#979 := [trans #973 #977]: #978 -#982 := [quant-intro #979]: #981 -#1007 := (iff #254 #1004) -#1000 := (implies #980 #983) -#1005 := (iff #1000 #1004) -#1006 := [rewrite]: #1005 -#1001 := (iff #254 #1000) -#998 := (iff #253 #983) -#993 := (and true #983) -#996 := (iff #993 #983) -#997 := [rewrite]: #996 -#994 := (iff #253 #993) -#984 := (iff #251 #983) -#985 := [rewrite]: #984 -#991 := (iff #252 true) -#986 := (implies #983 true) -#989 := (iff #986 true) -#990 := [rewrite]: #989 -#987 := (iff #252 #986) -#988 := [monotonicity #985]: #987 -#992 := [trans #988 #990]: #991 -#995 := [monotonicity #992 #985]: #994 -#999 := [trans #995 #997]: #998 -#1002 := [monotonicity #982 #999]: #1001 -#1008 := [trans #1002 #1006]: #1007 -#1011 := [monotonicity #1008 #982]: #1010 -#1016 := [trans #1011 #1014]: #1015 -#1019 := [monotonicity #967 #1016]: #1018 -#1025 := [trans #1019 #1023]: #1024 -#1028 := [monotonicity #1025 #967]: #1027 -#1033 := [trans #1028 #1031]: #1032 -#1036 := [monotonicity #1033]: #1035 -#1040 := [trans #1036 #1038]: #1039 -#1043 := [monotonicity #1040]: #1042 -#1049 := [trans #1043 #1047]: #1048 -#934 := (iff #231 #933) -#935 := [rewrite]: #934 -#1052 := [monotonicity #935 #1049]: #1051 -#1058 := [trans #1052 #1056]: #1057 -#1061 := [monotonicity #1058]: #1060 -#1067 := [trans #1061 #1065]: #1066 -#931 := (iff #226 #930) -#932 := [rewrite]: #931 -#1070 := [monotonicity #932 #1067]: #1069 -#1076 := [trans #1070 #1074]: #1075 -#1079 := [monotonicity #1076]: #1078 -#1083 := [trans #1079 #1081]: #1082 -#1085 := [monotonicity #1083]: #1084 -#1087 := [trans #1085 #1081]: #1086 -#928 := (iff #224 #911) -#583 := (iff #139 #582) -#580 := (iff #138 #579) -#509 := (iff #118 #508) -#506 := (iff #117 #505) -#507 := [rewrite]: #506 -#510 := [monotonicity #507]: #509 -#581 := [monotonicity #510]: #580 -#584 := [quant-intro #581]: #583 -#929 := [monotonicity #584]: #928 -#1090 := [monotonicity #929 #1087]: #1089 -#1095 := [trans #1090 #1093]: #1094 -#1098 := [monotonicity #1095]: #1097 -#1102 := [trans #1098 #1100]: #1101 -#1104 := [monotonicity #1102]: #1103 -#1106 := [trans #1104 #1100]: #1105 -#926 := (iff #223 #912) -#917 := (implies true #912) -#920 := (iff #917 #912) -#921 := [rewrite]: #920 -#924 := (iff #223 #917) -#922 := (iff #222 #912) -#918 := (iff #222 #917) -#915 := (iff #221 #912) -#908 := (implies #582 #903) -#913 := (iff #908 #912) -#914 := [rewrite]: #913 -#909 := (iff #221 #908) -#906 := (iff #220 #903) -#588 := (not #585) -#900 := (implies #588 #895) -#904 := (iff #900 #903) -#905 := [rewrite]: #904 -#901 := (iff #220 #900) -#898 := (iff #219 #895) -#891 := (implies #145 #886) -#896 := (iff #891 #895) -#897 := [rewrite]: #896 -#892 := (iff #219 #891) -#889 := (iff #218 #886) -#882 := (implies #599 #877) -#887 := (iff #882 #886) -#888 := [rewrite]: #887 -#883 := (iff #218 #882) -#880 := (iff #217 #877) -#873 := (implies #151 #868) -#878 := (iff #873 #877) -#879 := [rewrite]: #878 -#874 := (iff #217 #873) -#871 := (iff #216 #868) -#864 := (implies #613 #859) -#869 := (iff #864 #868) -#870 := [rewrite]: #869 -#865 := (iff #216 #864) -#862 := (iff #215 #859) -#855 := (implies #627 #850) -#860 := (iff #855 #859) -#861 := [rewrite]: #860 -#856 := (iff #215 #855) -#853 := (iff #214 #850) -#847 := (and #842 #167) -#851 := (iff #847 #850) -#852 := [rewrite]: #851 -#848 := (iff #214 #847) -#845 := (iff #213 #842) -#838 := (implies #167 #833) -#843 := (iff #838 #842) -#844 := [rewrite]: #843 -#839 := (iff #213 #838) -#836 := (iff #212 #833) -#830 := (and #825 #642) -#834 := (iff #830 #833) -#835 := [rewrite]: #834 -#831 := (iff #212 #830) -#643 := (iff #171 #642) -#640 := (iff #170 #637) -#633 := (implies #630 #616) -#638 := (iff #633 #637) -#639 := [rewrite]: #638 -#634 := (iff #170 #633) -#617 := (iff #163 #616) -#618 := [rewrite]: #617 -#631 := (iff #169 #630) -#632 := [rewrite]: #631 -#635 := [monotonicity #632 #618]: #634 -#641 := [trans #635 #639]: #640 -#644 := [quant-intro #641]: #643 -#828 := (iff #211 #825) -#821 := (implies #642 #805) -#826 := (iff #821 #825) -#827 := [rewrite]: #826 -#822 := (iff #211 #821) -#819 := (iff #210 #805) -#810 := (implies true #805) -#813 := (iff #810 #805) -#814 := [rewrite]: #813 -#817 := (iff #210 #810) -#815 := (iff #209 #805) -#811 := (iff #209 #810) -#808 := (iff #208 #805) -#802 := (and #797 #645) -#806 := (iff #802 #805) -#807 := [rewrite]: #806 -#803 := (iff #208 #802) -#646 := (iff #173 #645) -#647 := [rewrite]: #646 -#800 := (iff #207 #797) -#793 := (implies #645 #788) -#798 := (iff #793 #797) -#799 := [rewrite]: #798 -#794 := (iff #207 #793) -#791 := (iff #206 #788) -#785 := (and #780 #175) -#789 := (iff #785 #788) -#790 := [rewrite]: #789 -#786 := (iff #206 #785) -#783 := (iff #205 #780) -#776 := (implies #175 #771) -#781 := (iff #776 #780) -#782 := [rewrite]: #781 -#777 := (iff #205 #776) -#774 := (iff #204 #771) -#768 := (and #763 #670) -#772 := (iff #768 #771) -#773 := [rewrite]: #772 -#769 := (iff #204 #768) -#671 := (iff #183 #670) -#668 := (iff #182 #665) -#661 := (implies #656 #181) -#666 := (iff #661 #665) -#667 := [rewrite]: #666 -#662 := (iff #182 #661) -#659 := (iff #179 #656) -#653 := (and #648 #636) -#657 := (iff #653 #656) -#658 := [rewrite]: #657 -#654 := (iff #179 #653) -#651 := (iff #178 #636) -#652 := [monotonicity #632]: #651 -#649 := (iff #177 #648) -#650 := [rewrite]: #649 -#655 := [monotonicity #650 #652]: #654 -#660 := [trans #655 #658]: #659 -#663 := [monotonicity #660]: #662 -#669 := [trans #663 #667]: #668 -#672 := [quant-intro #669]: #671 -#766 := (iff #203 #763) -#759 := (implies #670 #754) -#764 := (iff #759 #763) -#765 := [rewrite]: #764 -#760 := (iff #203 #759) -#757 := (iff #202 #754) -#751 := (and #746 #691) -#755 := (iff #751 #754) -#756 := [rewrite]: #755 -#752 := (iff #202 #751) -#692 := (iff #188 #691) -#689 := (iff #187 #686) -#682 := (implies #673 #679) -#687 := (iff #682 #686) -#688 := [rewrite]: #687 -#683 := (iff #187 #682) -#680 := (iff #186 #679) -#677 := (= #185 #676) -#678 := [rewrite]: #677 -#681 := [monotonicity #678]: #680 -#674 := (iff #184 #673) -#675 := [monotonicity #632]: #674 -#684 := [monotonicity #675 #681]: #683 -#690 := [trans #684 #688]: #689 -#693 := [quant-intro #690]: #692 -#749 := (iff #201 #746) -#742 := (implies #691 #723) -#747 := (iff #742 #746) -#748 := [rewrite]: #747 -#743 := (iff #201 #742) -#740 := (iff #200 #723) -#735 := (and true #723) -#738 := (iff #735 #723) -#739 := [rewrite]: #738 -#736 := (iff #200 #735) -#724 := (iff #197 #723) -#721 := (iff #196 #718) -#714 := (implies #694 #711) -#719 := (iff #714 #718) -#720 := [rewrite]: #719 -#715 := (iff #196 #714) -#712 := (iff #195 #711) -#709 := (iff #194 #708) -#706 := (iff #193 #703) -#700 := (and #630 #192) -#704 := (iff #700 #703) -#705 := [rewrite]: #704 -#701 := (iff #193 #700) -#702 := [monotonicity #632]: #701 -#707 := [trans #702 #705]: #706 -#698 := (iff #191 #697) -#699 := [monotonicity #678]: #698 -#710 := [monotonicity #699 #707]: #709 -#713 := [quant-intro #710]: #712 -#695 := (iff #190 #694) -#696 := [rewrite]: #695 -#716 := [monotonicity #696 #713]: #715 -#722 := [trans #716 #720]: #721 -#725 := [quant-intro #722]: #724 -#733 := (iff #199 true) -#728 := (implies #723 true) -#731 := (iff #728 true) -#732 := [rewrite]: #731 -#729 := (iff #199 #728) -#726 := (iff #198 true) -#727 := [rewrite]: #726 -#730 := [monotonicity #725 #727]: #729 -#734 := [trans #730 #732]: #733 -#737 := [monotonicity #734 #725]: #736 -#741 := [trans #737 #739]: #740 -#744 := [monotonicity #693 #741]: #743 -#750 := [trans #744 #748]: #749 -#753 := [monotonicity #750 #693]: #752 -#758 := [trans #753 #756]: #757 -#761 := [monotonicity #672 #758]: #760 -#767 := [trans #761 #765]: #766 -#770 := [monotonicity #767 #672]: #769 -#775 := [trans #770 #773]: #774 -#778 := [monotonicity #775]: #777 -#784 := [trans #778 #782]: #783 -#787 := [monotonicity #784]: #786 -#792 := [trans #787 #790]: #791 -#795 := [monotonicity #647 #792]: #794 -#801 := [trans #795 #799]: #800 -#804 := [monotonicity #801 #647]: #803 -#809 := [trans #804 #807]: #808 -#812 := [monotonicity #809]: #811 -#816 := [trans #812 #814]: #815 -#818 := [monotonicity #816]: #817 -#820 := [trans #818 #814]: #819 -#823 := [monotonicity #644 #820]: #822 -#829 := [trans #823 #827]: #828 -#832 := [monotonicity #829 #644]: #831 -#837 := [trans #832 #835]: #836 -#840 := [monotonicity #837]: #839 -#846 := [trans #840 #844]: #845 -#849 := [monotonicity #846]: #848 -#854 := [trans #849 #852]: #853 -#628 := (iff #165 #627) -#625 := (iff #164 #622) -#619 := (implies #162 #616) -#623 := (iff #619 #622) -#624 := [rewrite]: #623 -#620 := (iff #164 #619) -#621 := [monotonicity #618]: #620 -#626 := [trans #621 #624]: #625 -#629 := [quant-intro #626]: #628 -#857 := [monotonicity #629 #854]: #856 -#863 := [trans #857 #861]: #862 -#614 := (iff #161 #613) -#611 := (iff #160 #608) -#605 := (implies #157 #602) -#609 := (iff #605 #608) -#610 := [rewrite]: #609 -#606 := (iff #160 #605) -#603 := (iff #159 #602) -#604 := [rewrite]: #603 -#607 := [monotonicity #604]: #606 -#612 := [trans #607 #610]: #611 -#615 := [quant-intro #612]: #614 -#866 := [monotonicity #615 #863]: #865 -#872 := [trans #866 #870]: #871 -#875 := [monotonicity #872]: #874 -#881 := [trans #875 #879]: #880 -#600 := (iff #148 #599) -#597 := (iff #147 #594) -#591 := (implies #508 #146) -#595 := (iff #591 #594) -#596 := [rewrite]: #595 -#592 := (iff #147 #591) -#593 := [monotonicity #510]: #592 -#598 := [trans #593 #596]: #597 -#601 := [quant-intro #598]: #600 -#884 := [monotonicity #601 #881]: #883 -#890 := [trans #884 #888]: #889 -#893 := [monotonicity #890]: #892 -#899 := [trans #893 #897]: #898 -#589 := (iff #143 #588) -#586 := (iff #142 #585) -#587 := [rewrite]: #586 -#590 := [monotonicity #587]: #589 -#902 := [monotonicity #590 #899]: #901 -#907 := [trans #902 #905]: #906 -#910 := [monotonicity #584 #907]: #909 -#916 := [trans #910 #914]: #915 -#919 := [monotonicity #916]: #918 -#923 := [trans #919 #921]: #922 -#925 := [monotonicity #923]: #924 -#927 := [trans #925 #921]: #926 -#1109 := [monotonicity #927 #1106]: #1108 -#1112 := [monotonicity #1109]: #1111 -#1116 := [trans #1112 #1114]: #1115 -#577 := (iff #137 #576) -#574 := (iff #136 #571) -#567 := (implies #547 #564) -#572 := (iff #567 #571) -#573 := [rewrite]: #572 -#568 := (iff #136 #567) -#565 := (iff #135 #564) -#562 := (iff #134 #561) -#559 := (iff #133 #556) -#553 := (and #505 #132) -#557 := (iff #553 #556) -#558 := [rewrite]: #557 -#554 := (iff #133 #553) -#555 := [monotonicity #507]: #554 -#560 := [trans #555 #558]: #559 -#551 := (iff #131 #550) -#530 := (= #125 #529) -#531 := [rewrite]: #530 -#552 := [monotonicity #531]: #551 -#563 := [monotonicity #552 #560]: #562 -#566 := [quant-intro #563]: #565 -#548 := (iff #130 #547) -#549 := [rewrite]: #548 -#569 := [monotonicity #549 #566]: #568 -#575 := [trans #569 #573]: #574 -#578 := [quant-intro #575]: #577 -#1119 := [monotonicity #578 #1116]: #1118 -#1125 := [trans #1119 #1123]: #1124 -#545 := (iff #128 #544) -#542 := (iff #127 #539) -#535 := (implies #526 #532) -#540 := (iff #535 #539) -#541 := [rewrite]: #540 -#536 := (iff #127 #535) -#533 := (iff #126 #532) -#534 := [monotonicity #531]: #533 -#527 := (iff #124 #526) -#528 := [monotonicity #507]: #527 -#537 := [monotonicity #528 #534]: #536 -#543 := [trans #537 #541]: #542 -#546 := [quant-intro #543]: #545 -#1128 := [monotonicity #546 #1125]: #1127 -#1134 := [trans #1128 #1132]: #1133 -#524 := (iff #123 #523) -#521 := (iff #122 #518) -#514 := (implies #511 #121) -#519 := (iff #514 #518) -#520 := [rewrite]: #519 -#515 := (iff #122 #514) -#512 := (iff #119 #511) -#503 := (iff #115 #502) -#504 := [rewrite]: #503 -#513 := [monotonicity #504 #510]: #512 -#516 := [monotonicity #513]: #515 -#522 := [trans #516 #520]: #521 -#525 := [quant-intro #522]: #524 -#1137 := [monotonicity #525 #1134]: #1136 -#1143 := [trans #1137 #1141]: #1142 -#1146 := [monotonicity #1143]: #1145 -#1152 := [trans #1146 #1150]: #1151 -#500 := (iff #109 #499) -#501 := [rewrite]: #500 -#1155 := [monotonicity #501 #1152]: #1154 -#1161 := [trans #1155 #1159]: #1160 -#1164 := [monotonicity #1161]: #1163 -#1168 := [trans #1164 #1166]: #1167 -#1170 := [monotonicity #1168]: #1169 -#1172 := [trans #1170 #1166]: #1171 -#1175 := [monotonicity #498 #1172]: #1174 -#1181 := [trans #1175 #1179]: #1180 -#1184 := [monotonicity #1181 #498]: #1183 -#1189 := [trans #1184 #1187]: #1188 -#1192 := [monotonicity #483 #1189]: #1191 -#1198 := [trans #1192 #1196]: #1197 -#1201 := [monotonicity #1198 #483]: #1200 -#1206 := [trans #1201 #1204]: #1205 -#1209 := [monotonicity #468 #1206]: #1208 -#1215 := [trans #1209 #1213]: #1214 -#1218 := [monotonicity #1215 #468]: #1217 -#1223 := [trans #1218 #1221]: #1222 -#1226 := [monotonicity #1223]: #1225 -#1232 := [trans #1226 #1230]: #1231 -#1235 := [monotonicity #1232]: #1234 -#1240 := [trans #1235 #1238]: #1239 -#1243 := [monotonicity #453 #1240]: #1242 -#1249 := [trans #1243 #1247]: #1248 -#1252 := [monotonicity #1249 #453]: #1251 -#1257 := [trans #1252 #1255]: #1256 -#1260 := [monotonicity #1257]: #1259 -#1264 := [trans #1260 #1262]: #1263 -#1267 := [monotonicity #1264]: #1266 -#1273 := [trans #1267 #1271]: #1272 -#449 := (iff #76 #448) -#446 := (iff #75 #443) -#440 := (implies #73 #437) -#444 := (iff #440 #443) -#445 := [rewrite]: #444 -#441 := (iff #75 #440) -#438 := (iff #74 #437) -#439 := [rewrite]: #438 -#442 := [monotonicity #439]: #441 -#447 := [trans #442 #445]: #446 -#450 := [quant-intro #447]: #449 -#1276 := [monotonicity #450 #1273]: #1275 -#1282 := [trans #1276 #1280]: #1281 -#435 := (iff #72 #434) -#432 := (iff #71 #429) -#426 := (implies #68 #423) -#430 := (iff #426 #429) -#431 := [rewrite]: #430 -#427 := (iff #71 #426) -#424 := (iff #70 #423) -#425 := [rewrite]: #424 -#428 := [monotonicity #425]: #427 -#433 := [trans #428 #431]: #432 -#436 := [quant-intro #433]: #435 -#1285 := [monotonicity #436 #1282]: #1284 -#1291 := [trans #1285 #1289]: #1290 -#1294 := [monotonicity #1291]: #1293 -#1298 := [trans #1294 #1296]: #1297 -#1300 := [monotonicity #1298]: #1299 -#1302 := [trans #1300 #1296]: #1301 -#1305 := [monotonicity #1302]: #1304 -#1939 := [trans #1305 #1937]: #1938 -#422 := [asserted]: #293 -#1940 := [mp #422 #1939]: #1935 -#1941 := [not-or-elim #1940]: #79 -#2004 := [mp~ #1941 #1966]: #79 -#4354 := [mp #2004 #4353]: #4349 -#5709 := (not #4349) -#5715 := (or #5709 #2266) -#5470 := [quant-inst]: #5715 -#6005 := [unit-resolution #5470 #4354 #6004]: false -#6009 := [lemma #6005]: #2266 -#3870 := (or #2166 #2033) -#3957 := [def-axiom]: #3870 -#7294 := [unit-resolution #3957 #6009]: #2166 -#2421 := (not #2166) -#4707 := (or #2421 #4704) -#4710 := (not #4707) -#4362 := (forall (vars (?x27 T2)) (:pat #4355) #1313) -#4367 := (not #4362) -#4713 := (or #4367 #4710) -#4716 := (not #4713) -decl ?x27!0 :: T2 -#2011 := ?x27!0 -#2012 := (uf_12 ?x27!0) -#2013 := (>= #2012 0::int) -#2014 := (not #2013) -#4719 := (or #2014 #4716) -#4722 := (not #4719) -#4725 := (or #1308 #4722) -#4728 := (not #4725) -#4735 := (forall (vars (?x24 T2)) (:pat #4355) #1912) -#4738 := (iff #1915 #4735) -#4736 := (iff #1912 #1912) -#4737 := [refl]: #4736 -#4739 := [quant-intro #4737]: #4738 -#2238 := (~ #1915 #1915) -#2072 := (~ #1912 #1912) -#2073 := [refl]: #2072 -#2239 := [nnf-pos #2073]: #2238 -#1945 := [not-or-elim #1940]: #1915 -#2265 := [mp~ #1945 #2239]: #1915 -#4740 := [mp #2265 #4739]: #4735 -#5485 := [hypothesis]: #1308 -#5347 := (not #4735) -#5348 := (or #5347 #81) -#4030 := (= uf_11 uf_11) -#4033 := (not #4030) -#4034 := (or #4033 #81) -#5341 := (or #5347 #4034) -#5350 := (iff #5341 #5348) -#5361 := (iff #5348 #5348) -#5363 := [rewrite]: #5361 -#5108 := (iff #4034 #81) -#5046 := (or false #81) -#5106 := (iff #5046 #81) -#5107 := [rewrite]: #5106 -#5104 := (iff #4034 #5046) -#3956 := (iff #4033 false) -#6849 := (not true) -#6852 := (iff #6849 false) -#6853 := [rewrite]: #6852 -#5051 := (iff #4033 #6849) -#4038 := (iff #4030 true) -#5050 := [rewrite]: #4038 -#5052 := [monotonicity #5050]: #5051 -#3939 := [trans #5052 #6853]: #3956 -#5105 := [monotonicity #3939]: #5104 -#5346 := [trans #5105 #5107]: #5108 -#5351 := [monotonicity #5346]: #5350 -#5364 := [trans #5351 #5363]: #5350 -#5349 := [quant-inst]: #5341 -#5484 := [mp #5349 #5364]: #5348 -#5486 := [unit-resolution #5484 #5485 #4740]: false -#5487 := [lemma #5486]: #81 -#4731 := (or #1308 #4728) -#3666 := (forall (vars (?x66 T2) (?x67 T2)) #3661) -#3672 := (not #3666) -#3673 := (or #251 #3672) -#3674 := (not #3673) -#3701 := (or #3674 #3698) -#3708 := (not #3701) -#3644 := (forall (vars (?x64 T2)) #3639) -#3707 := (not #3644) -#3709 := (or #3707 #3708) -#3710 := (not #3709) -#3607 := (forall (vars (?x65 T2)) #3596) -#3613 := (not #3607) -#3614 := (or #2460 #2993 #3613) -#3615 := (not #3614) -#3715 := (or #3615 #3710) -#3722 := (not #3715) -#3592 := (forall (vars (?x41 T2)) #3581) -#3721 := (not #3592) -#3723 := (or #1062 #1044 #1071 #1053 #3721 #3722) -#3724 := (not #3723) -#3486 := (forall (vars (?x53 T2)) #3475) -#3493 := (not #3486) -#3471 := (forall (vars (?x50 T2) (?x51 T2)) #3466) -#3492 := (not #3471) -#3494 := (or #2318 #2893 #3492 #3493) -#3495 := (not #3494) -#3500 := (or #3449 #3495) -#3507 := (not #3500) -#3426 := (forall (vars (?x48 T2) (?x49 T2)) #3421) -#3506 := (not #3426) -#3508 := (or #3506 #3507) -#3509 := (not #3508) -#3514 := (or #3403 #3509) -#3520 := (not #3514) -#3521 := (or #1501 #3520) -#3522 := (not #3521) -#3527 := (or #2235 #3522) -#3533 := (not #3527) -#3534 := (or #1492 #3533) -#3535 := (not #3534) -#3540 := (or #1492 #3535) -#3546 := (not #3540) -#3547 := (or #824 #3546) -#3548 := (not #3547) -#3553 := (or #2836 #3548) -#3559 := (not #3553) -#3560 := (or #1487 #3559) -#3561 := (not #3560) -#3566 := (or #2822 #3561) -#3574 := (not #3566) -#3380 := (forall (vars (?x43 T2)) #3375) -#3573 := (not #3380) -#3362 := (forall (vars (?x44 T2)) #3359) -#3572 := (not #3362) -#3575 := (or #876 #585 #1652 #1656 #2412 #2415 #3572 #3573 #3574) -#3576 := (not #3575) -#3729 := (or #3576 #3724) -#3739 := (not #3729) -#3352 := (forall (vars (?x39 T2)) #3347) -#3738 := (not #3352) -#3324 := (forall (vars (?x32 T2)) #3319) -#3737 := (not #3324) -#3296 := (forall (vars (?x35 T2) (?x36 T2)) #3291) -#3736 := (not #3296) -#3273 := (forall (vars (?x37 T2) (?x38 T2)) #3268) -#3735 := (not #3273) -#3740 := (or #1854 #1849 #3735 #3736 #3737 #3738 #3739) -#3741 := (not #3740) -#3241 := (forall (vars (?x33 T2)) #3230) -#3247 := (not #3241) -#3248 := (or #2085 #2688 #3247) -#3249 := (not #3248) -#3746 := (or #3249 #3741) -#3753 := (not #3746) -#3226 := (forall (vars (?x30 T2) (?x31 T2)) #3221) -#3752 := (not #3226) -#3754 := (or #3752 #3753) -#3755 := (not #3754) -#3760 := (or #3204 #3755) -#3767 := (not #3760) -#3181 := (forall (vars (?x28 T2) (?x29 T2)) #3176) -#3766 := (not #3181) -#3768 := (or #3766 #3767) -#3769 := (not #3768) -#3774 := (or #2421 #3769) -#3780 := (not #3774) -#3781 := (or #1317 #3780) -#3782 := (not #3781) -#3787 := (or #2014 #3782) -#3793 := (not #3787) -#3794 := (or #1308 #3793) -#3795 := (not #3794) -#3800 := (or #1308 #3795) -#4732 := (iff #3800 #4731) -#4729 := (iff #3795 #4728) -#4726 := (iff #3794 #4725) -#4723 := (iff #3793 #4722) -#4720 := (iff #3787 #4719) -#4717 := (iff #3782 #4716) -#4714 := (iff #3781 #4713) -#4711 := (iff #3780 #4710) -#4708 := (iff #3774 #4707) -#4705 := (iff #3769 #4704) -#4702 := (iff #3768 #4701) -#4699 := (iff #3767 #4698) -#4696 := (iff #3760 #4695) -#4693 := (iff #3755 #4692) -#4690 := (iff #3754 #4689) -#4687 := (iff #3753 #4686) -#4684 := (iff #3746 #4683) -#4681 := (iff #3741 #4680) -#4678 := (iff #3740 #4677) -#4675 := (iff #3739 #4674) -#4672 := (iff #3729 #4671) -#4669 := (iff #3724 #4668) -#4666 := (iff #3723 #4665) -#4663 := (iff #3722 #4662) -#4660 := (iff #3715 #4659) -#4657 := (iff #3710 #4656) -#4654 := (iff #3709 #4653) -#4651 := (iff #3708 #4650) -#4648 := (iff #3701 #4647) -#4645 := (iff #3674 #4644) -#4642 := (iff #3673 #4641) -#4639 := (iff #3672 #4638) -#4636 := (iff #3666 #4633) -#4634 := (iff #3661 #3661) -#4635 := [refl]: #4634 -#4637 := [quant-intro #4635]: #4636 -#4640 := [monotonicity #4637]: #4639 -#4643 := [monotonicity #4640]: #4642 -#4646 := [monotonicity #4643]: #4645 -#4649 := [monotonicity #4646]: #4648 -#4652 := [monotonicity #4649]: #4651 -#4631 := (iff #3707 #4630) -#4628 := (iff #3644 #4625) -#4626 := (iff #3639 #3639) -#4627 := [refl]: #4626 -#4629 := [quant-intro #4627]: #4628 -#4632 := [monotonicity #4629]: #4631 -#4655 := [monotonicity #4632 #4652]: #4654 -#4658 := [monotonicity #4655]: #4657 -#4623 := (iff #3615 #4622) -#4620 := (iff #3614 #4619) -#4617 := (iff #3613 #4616) -#4614 := (iff #3607 #4611) -#4612 := (iff #3596 #3596) -#4613 := [refl]: #4612 -#4615 := [quant-intro #4613]: #4614 -#4618 := [monotonicity #4615]: #4617 -#4621 := [monotonicity #4618]: #4620 -#4624 := [monotonicity #4621]: #4623 -#4661 := [monotonicity #4624 #4658]: #4660 -#4664 := [monotonicity #4661]: #4663 -#4607 := (iff #3721 #4606) -#4604 := (iff #3592 #4601) -#4602 := (iff #3581 #3581) -#4603 := [refl]: #4602 -#4605 := [quant-intro #4603]: #4604 -#4608 := [monotonicity #4605]: #4607 -#4667 := [monotonicity #4608 #4664]: #4666 -#4670 := [monotonicity #4667]: #4669 -#4599 := (iff #3576 #4598) -#4596 := (iff #3575 #4595) -#4593 := (iff #3574 #4592) -#4590 := (iff #3566 #4589) -#4587 := (iff #3561 #4586) -#4584 := (iff #3560 #4583) -#4581 := (iff #3559 #4580) -#4578 := (iff #3553 #4577) -#4575 := (iff #3548 #4574) -#4572 := (iff #3547 #4571) -#4569 := (iff #3546 #4568) -#4566 := (iff #3540 #4565) -#4563 := (iff #3535 #4562) -#4560 := (iff #3534 #4559) -#4557 := (iff #3533 #4556) -#4554 := (iff #3527 #4553) -#4551 := (iff #3522 #4550) -#4548 := (iff #3521 #4547) -#4545 := (iff #3520 #4544) -#4542 := (iff #3514 #4541) -#4539 := (iff #3509 #4538) -#4536 := (iff #3508 #4535) -#4533 := (iff #3507 #4532) -#4530 := (iff #3500 #4529) -#4527 := (iff #3495 #4526) -#4524 := (iff #3494 #4523) -#4521 := (iff #3493 #4520) -#4518 := (iff #3486 #4515) -#4516 := (iff #3475 #3475) -#4517 := [refl]: #4516 -#4519 := [quant-intro #4517]: #4518 -#4522 := [monotonicity #4519]: #4521 -#4512 := (iff #3492 #4511) -#4509 := (iff #3471 #4506) -#4507 := (iff #3466 #3466) -#4508 := [refl]: #4507 -#4510 := [quant-intro #4508]: #4509 -#4513 := [monotonicity #4510]: #4512 -#4525 := [monotonicity #4513 #4522]: #4524 -#4528 := [monotonicity #4525]: #4527 -#4531 := [monotonicity #4528]: #4530 -#4534 := [monotonicity #4531]: #4533 -#4504 := (iff #3506 #4503) -#4501 := (iff #3426 #4498) -#4499 := (iff #3421 #3421) -#4500 := [refl]: #4499 -#4502 := [quant-intro #4500]: #4501 -#4505 := [monotonicity #4502]: #4504 -#4537 := [monotonicity #4505 #4534]: #4536 -#4540 := [monotonicity #4537]: #4539 -#4543 := [monotonicity #4540]: #4542 -#4546 := [monotonicity #4543]: #4545 -#4495 := (iff #1501 #4494) -#4492 := (iff #1498 #4489) -#4490 := (iff #1495 #1495) -#4491 := [refl]: #4490 -#4493 := [quant-intro #4491]: #4492 -#4496 := [monotonicity #4493]: #4495 -#4549 := [monotonicity #4496 #4546]: #4548 -#4552 := [monotonicity #4549]: #4551 -#4555 := [monotonicity #4552]: #4554 -#4558 := [monotonicity #4555]: #4557 -#4561 := [monotonicity #4558]: #4560 -#4564 := [monotonicity #4561]: #4563 -#4567 := [monotonicity #4564]: #4566 -#4570 := [monotonicity #4567]: #4569 -#4487 := (iff #824 #4486) -#4484 := (iff #642 #4481) -#4482 := (iff #637 #637) -#4483 := [refl]: #4482 -#4485 := [quant-intro #4483]: #4484 -#4488 := [monotonicity #4485]: #4487 -#4573 := [monotonicity #4488 #4570]: #4572 -#4576 := [monotonicity #4573]: #4575 -#4579 := [monotonicity #4576]: #4578 -#4582 := [monotonicity #4579]: #4581 -#4478 := (iff #1487 #4477) -#4475 := (iff #1484 #4472) -#4473 := (iff #1479 #1479) -#4474 := [refl]: #4473 -#4476 := [quant-intro #4474]: #4475 -#4479 := [monotonicity #4476]: #4478 -#4585 := [monotonicity #4479 #4582]: #4584 -#4588 := [monotonicity #4585]: #4587 -#4591 := [monotonicity #4588]: #4590 -#4594 := [monotonicity #4591]: #4593 -#4470 := (iff #3573 #4469) -#4467 := (iff #3380 #4464) -#4465 := (iff #3375 #3375) -#4466 := [refl]: #4465 -#4468 := [quant-intro #4466]: #4467 -#4471 := [monotonicity #4468]: #4470 -#4462 := (iff #3572 #4461) -#4459 := (iff #3362 #4456) -#4457 := (iff #3359 #3359) -#4458 := [refl]: #4457 -#4460 := [quant-intro #4458]: #4459 -#4463 := [monotonicity #4460]: #4462 -#4452 := (iff #1652 #4451) -#4449 := (iff #1649 #4446) -#4447 := (iff #1644 #1644) -#4448 := [refl]: #4447 -#4450 := [quant-intro #4448]: #4449 -#4453 := [monotonicity #4450]: #4452 -#4597 := [monotonicity #4453 #4463 #4471 #4594]: #4596 -#4600 := [monotonicity #4597]: #4599 -#4673 := [monotonicity #4600 #4670]: #4672 -#4676 := [monotonicity #4673]: #4675 -#4443 := (iff #3738 #4442) -#4440 := (iff #3352 #4437) -#4438 := (iff #3347 #3347) -#4439 := [refl]: #4438 -#4441 := [quant-intro #4439]: #4440 -#4444 := [monotonicity #4441]: #4443 -#4435 := (iff #3737 #4434) -#4432 := (iff #3324 #4429) -#4430 := (iff #3319 #3319) -#4431 := [refl]: #4430 -#4433 := [quant-intro #4431]: #4432 -#4436 := [monotonicity #4433]: #4435 -#4427 := (iff #3736 #4426) -#4424 := (iff #3296 #4421) -#4422 := (iff #3291 #3291) -#4423 := [refl]: #4422 -#4425 := [quant-intro #4423]: #4424 -#4428 := [monotonicity #4425]: #4427 -#4418 := (iff #3735 #4417) -#4415 := (iff #3273 #4412) -#4413 := (iff #3268 #3268) -#4414 := [refl]: #4413 -#4416 := [quant-intro #4414]: #4415 -#4419 := [monotonicity #4416]: #4418 -#4410 := (iff #1849 #4409) -#4407 := (iff #1846 #4404) -#4405 := (iff #1843 #1843) -#4406 := [refl]: #4405 -#4408 := [quant-intro #4406]: #4407 -#4411 := [monotonicity #4408]: #4410 -#4679 := [monotonicity #4411 #4419 #4428 #4436 #4444 #4676]: #4678 -#4682 := [monotonicity #4679]: #4681 -#4401 := (iff #3249 #4400) -#4398 := (iff #3248 #4397) -#4395 := (iff #3247 #4394) -#4392 := (iff #3241 #4389) -#4390 := (iff #3230 #3230) -#4391 := [refl]: #4390 -#4393 := [quant-intro #4391]: #4392 -#4396 := [monotonicity #4393]: #4395 -#4399 := [monotonicity #4396]: #4398 -#4402 := [monotonicity #4399]: #4401 -#4685 := [monotonicity #4402 #4682]: #4684 -#4688 := [monotonicity #4685]: #4687 -#4386 := (iff #3752 #4385) -#4383 := (iff #3226 #4380) -#4381 := (iff #3221 #3221) -#4382 := [refl]: #4381 -#4384 := [quant-intro #4382]: #4383 -#4387 := [monotonicity #4384]: #4386 -#4691 := [monotonicity #4387 #4688]: #4690 -#4694 := [monotonicity #4691]: #4693 -#4697 := [monotonicity #4694]: #4696 -#4700 := [monotonicity #4697]: #4699 -#4377 := (iff #3766 #4376) -#4374 := (iff #3181 #4371) -#4372 := (iff #3176 #3176) -#4373 := [refl]: #4372 -#4375 := [quant-intro #4373]: #4374 -#4378 := [monotonicity #4375]: #4377 -#4703 := [monotonicity #4378 #4700]: #4702 -#4706 := [monotonicity #4703]: #4705 -#4709 := [monotonicity #4706]: #4708 -#4712 := [monotonicity #4709]: #4711 -#4368 := (iff #1317 #4367) -#4365 := (iff #1314 #4362) -#4363 := (iff #1313 #1313) -#4364 := [refl]: #4363 -#4366 := [quant-intro #4364]: #4365 -#4369 := [monotonicity #4366]: #4368 -#4715 := [monotonicity #4369 #4712]: #4714 -#4718 := [monotonicity #4715]: #4717 -#4721 := [monotonicity #4718]: #4720 -#4724 := [monotonicity #4721]: #4723 -#4727 := [monotonicity #4724]: #4726 -#4730 := [monotonicity #4727]: #4729 -#4733 := [monotonicity #4730]: #4732 -#2527 := (not #2526) -#2523 := (not #2522) -#3081 := (and #2523 #2527) -#3084 := (not #3081) -#3101 := (or #3084 #3096) -#3104 := (not #3101) -#2536 := (not #251) -#2546 := (and #2536 #1756) -#3110 := (or #2546 #3104) -#3054 := (not #3049) -#3072 := (and #3054 #3067) -#3075 := (or #1716 #3072) -#3078 := (forall (vars (?x64 T2)) #3075) -#3115 := (and #3078 #3110) -#2456 := (not #2455) -#3024 := (and #2456 #3021) -#3027 := (not #3024) -#3030 := (forall (vars (?x65 T2)) #3027) -#2996 := (not #2993) -#2461 := (not #2460) -#3036 := (and #2461 #2996 #3030) -#3118 := (or #3036 #3115) -#2441 := (not #1670) -#2444 := (forall (vars (?x41 T2)) #2441) -#3121 := (and #229 #234 #930 #933 #2444 #3118) -#2314 := (not #2313) -#2924 := (and #630 #2314 #2921) -#2927 := (not #2924) -#2930 := (forall (vars (?x53 T2)) #2927) -#2896 := (not #2893) -#2319 := (not #2318) -#2939 := (and #1541 #2319 #2896 #2930) -#2287 := (not #2286) -#2866 := (and #2287 #2289) -#2869 := (not #2866) -#2887 := (or #2869 #2882) -#2890 := (not #2887) -#2944 := (or #2890 #2939) -#2947 := (and #1517 #2944) -#2258 := (not #2257) -#2841 := (and #2255 #2258) -#2844 := (not #2841) -#2860 := (or #2844 #2855) -#2863 := (not #2860) -#2950 := (or #2863 #2947) -#2953 := (and #1498 #2950) -#2956 := (or #2235 #2953) -#2959 := (and #173 #2956) -#2962 := (or #1492 #2959) -#2965 := (and #642 #2962) -#2968 := (or #2836 #2965) -#2971 := (and #1484 #2968) -#2974 := (or #2822 #2971) -#2416 := (not #2415) -#2413 := (not #2412) -#2980 := (and #151 #588 #1473 #1631 #1649 #1657 #2413 #2416 #2974) -#3124 := (or #2980 #3121) -#2780 := (not #2775) -#2798 := (and #2162 #2780 #2793) -#2801 := (or #1413 #2798) -#2804 := (forall (vars (?x39 T2)) #2801) -#2735 := (not #2730) -#2753 := (and #2133 #2735 #2748) -#2759 := (or #1395 #2753) -#2764 := (forall (vars (?x32 T2)) #2759) -#3130 := (and #109 #1821 #1837 #1846 #2764 #2804 #3124) -#2691 := (not #2688) -#2098 := (not #2097) -#2679 := (and #77 #2095 #2098) -#2682 := (not #2679) -#2685 := (forall (vars (?x33 T2)) #2682) -#2086 := (not #2085) -#2715 := (and #2086 #2685 #2691) -#3135 := (or #2715 #3130) -#3138 := (and #1360 #3135) -#2058 := (not #2057) -#2667 := (and #2058 #2059) -#2670 := (not #2667) -#2673 := (or #2664 #2670) -#2676 := (not #2673) -#3141 := (or #2676 #3138) -#3144 := (and #1334 #3141) -#2035 := (not #2034) -#2635 := (and #2033 #2035) -#2638 := (not #2635) -#2654 := (or #2638 #2649) -#2657 := (not #2654) -#3147 := (or #2657 #3144) -#3150 := (and #1314 #3147) -#3153 := (or #2014 #3150) -#3156 := (and #81 #3153) -#3159 := (or #1308 #3156) -#3801 := (iff #3159 #3800) -#3798 := (iff #3156 #3795) -#3790 := (and #81 #3787) -#3796 := (iff #3790 #3795) -#3797 := [rewrite]: #3796 -#3791 := (iff #3156 #3790) -#3788 := (iff #3153 #3787) -#3785 := (iff #3150 #3782) -#3777 := (and #1314 #3774) -#3783 := (iff #3777 #3782) -#3784 := [rewrite]: #3783 -#3778 := (iff #3150 #3777) -#3775 := (iff #3147 #3774) -#3772 := (iff #3144 #3769) -#3763 := (and #3181 #3760) -#3770 := (iff #3763 #3769) -#3771 := [rewrite]: #3770 -#3764 := (iff #3144 #3763) -#3761 := (iff #3141 #3760) -#3758 := (iff #3138 #3755) -#3749 := (and #3226 #3746) -#3756 := (iff #3749 #3755) -#3757 := [rewrite]: #3756 -#3750 := (iff #3138 #3749) -#3747 := (iff #3135 #3746) -#3744 := (iff #3130 #3741) -#3732 := (and #109 #3273 #3296 #1846 #3324 #3352 #3729) -#3742 := (iff #3732 #3741) -#3743 := [rewrite]: #3742 -#3733 := (iff #3130 #3732) -#3730 := (iff #3124 #3729) -#3727 := (iff #3121 #3724) -#3718 := (and #229 #234 #930 #933 #3592 #3715) -#3725 := (iff #3718 #3724) -#3726 := [rewrite]: #3725 -#3719 := (iff #3121 #3718) -#3716 := (iff #3118 #3715) -#3713 := (iff #3115 #3710) -#3704 := (and #3644 #3701) -#3711 := (iff #3704 #3710) -#3712 := [rewrite]: #3711 -#3705 := (iff #3115 #3704) -#3702 := (iff #3110 #3701) -#3699 := (iff #3104 #3698) -#3696 := (iff #3101 #3693) -#3679 := (or #2522 #2526) -#3690 := (or #3679 #3096) -#3694 := (iff #3690 #3693) -#3695 := [rewrite]: #3694 -#3691 := (iff #3101 #3690) -#3688 := (iff #3084 #3679) -#3680 := (not #3679) -#3683 := (not #3680) -#3686 := (iff #3683 #3679) -#3687 := [rewrite]: #3686 -#3684 := (iff #3084 #3683) -#3681 := (iff #3081 #3680) -#3682 := [rewrite]: #3681 -#3685 := [monotonicity #3682]: #3684 -#3689 := [trans #3685 #3687]: #3688 -#3692 := [monotonicity #3689]: #3691 -#3697 := [trans #3692 #3695]: #3696 -#3700 := [monotonicity #3697]: #3699 -#3677 := (iff #2546 #3674) -#3669 := (and #2536 #3666) -#3675 := (iff #3669 #3674) -#3676 := [rewrite]: #3675 -#3670 := (iff #2546 #3669) -#3667 := (iff #1756 #3666) -#3664 := (iff #1753 #3661) -#3647 := (or #1347 #1709) -#3658 := (or #3647 #1750) -#3662 := (iff #3658 #3661) -#3663 := [rewrite]: #3662 -#3659 := (iff #1753 #3658) -#3656 := (iff #1747 #3647) -#3648 := (not #3647) -#3651 := (not #3648) -#3654 := (iff #3651 #3647) -#3655 := [rewrite]: #3654 -#3652 := (iff #1747 #3651) -#3649 := (iff #1744 #3648) -#3650 := [rewrite]: #3649 -#3653 := [monotonicity #3650]: #3652 -#3657 := [trans #3653 #3655]: #3656 -#3660 := [monotonicity #3657]: #3659 -#3665 := [trans #3660 #3663]: #3664 -#3668 := [quant-intro #3665]: #3667 -#3671 := [monotonicity #3668]: #3670 -#3678 := [trans #3671 #3676]: #3677 -#3703 := [monotonicity #3678 #3700]: #3702 -#3645 := (iff #3078 #3644) -#3642 := (iff #3075 #3639) -#3620 := (or #68 #1709) -#3636 := (or #3620 #3633) -#3640 := (iff #3636 #3639) -#3641 := [rewrite]: #3640 -#3637 := (iff #3075 #3636) -#3634 := (iff #3072 #3633) -#3635 := [rewrite]: #3634 -#3629 := (iff #1716 #3620) -#3621 := (not #3620) -#3624 := (not #3621) -#3627 := (iff #3624 #3620) -#3628 := [rewrite]: #3627 -#3625 := (iff #1716 #3624) -#3622 := (iff #1713 #3621) -#3623 := [rewrite]: #3622 -#3626 := [monotonicity #3623]: #3625 -#3630 := [trans #3626 #3628]: #3629 -#3638 := [monotonicity #3630 #3635]: #3637 -#3643 := [trans #3638 #3641]: #3642 -#3646 := [quant-intro #3643]: #3645 -#3706 := [monotonicity #3646 #3703]: #3705 -#3714 := [trans #3706 #3712]: #3713 -#3618 := (iff #3036 #3615) -#3610 := (and #2461 #2996 #3607) -#3616 := (iff #3610 #3615) -#3617 := [rewrite]: #3616 -#3611 := (iff #3036 #3610) -#3608 := (iff #3030 #3607) -#3605 := (iff #3027 #3596) -#3597 := (not #3596) -#3600 := (not #3597) -#3603 := (iff #3600 #3596) -#3604 := [rewrite]: #3603 -#3601 := (iff #3027 #3600) -#3598 := (iff #3024 #3597) -#3599 := [rewrite]: #3598 -#3602 := [monotonicity #3599]: #3601 -#3606 := [trans #3602 #3604]: #3605 -#3609 := [quant-intro #3606]: #3608 -#3612 := [monotonicity #3609]: #3611 -#3619 := [trans #3612 #3617]: #3618 -#3717 := [monotonicity #3619 #3714]: #3716 -#3593 := (iff #2444 #3592) -#3590 := (iff #2441 #3581) -#3582 := (not #3581) -#3585 := (not #3582) -#3588 := (iff #3585 #3581) -#3589 := [rewrite]: #3588 -#3586 := (iff #2441 #3585) -#3583 := (iff #1670 #3582) -#3584 := [rewrite]: #3583 -#3587 := [monotonicity #3584]: #3586 -#3591 := [trans #3587 #3589]: #3590 -#3594 := [quant-intro #3591]: #3593 -#3720 := [monotonicity #3594 #3717]: #3719 -#3728 := [trans #3720 #3726]: #3727 -#3579 := (iff #2980 #3576) -#3569 := (and #151 #588 #3362 #3380 #1649 #1657 #2413 #2416 #3566) -#3577 := (iff #3569 #3576) -#3578 := [rewrite]: #3577 -#3570 := (iff #2980 #3569) -#3567 := (iff #2974 #3566) -#3564 := (iff #2971 #3561) -#3556 := (and #1484 #3553) -#3562 := (iff #3556 #3561) -#3563 := [rewrite]: #3562 -#3557 := (iff #2971 #3556) -#3554 := (iff #2968 #3553) -#3551 := (iff #2965 #3548) -#3543 := (and #642 #3540) -#3549 := (iff #3543 #3548) -#3550 := [rewrite]: #3549 -#3544 := (iff #2965 #3543) -#3541 := (iff #2962 #3540) -#3538 := (iff #2959 #3535) -#3530 := (and #173 #3527) -#3536 := (iff #3530 #3535) -#3537 := [rewrite]: #3536 -#3531 := (iff #2959 #3530) -#3528 := (iff #2956 #3527) -#3525 := (iff #2953 #3522) -#3517 := (and #1498 #3514) -#3523 := (iff #3517 #3522) -#3524 := [rewrite]: #3523 -#3518 := (iff #2953 #3517) -#3515 := (iff #2950 #3514) -#3512 := (iff #2947 #3509) -#3503 := (and #3426 #3500) -#3510 := (iff #3503 #3509) -#3511 := [rewrite]: #3510 -#3504 := (iff #2947 #3503) -#3501 := (iff #2944 #3500) -#3498 := (iff #2939 #3495) -#3489 := (and #3471 #2319 #2896 #3486) -#3496 := (iff #3489 #3495) -#3497 := [rewrite]: #3496 -#3490 := (iff #2939 #3489) -#3487 := (iff #2930 #3486) -#3484 := (iff #2927 #3475) -#3476 := (not #3475) -#3479 := (not #3476) -#3482 := (iff #3479 #3475) -#3483 := [rewrite]: #3482 -#3480 := (iff #2927 #3479) -#3477 := (iff #2924 #3476) -#3478 := [rewrite]: #3477 -#3481 := [monotonicity #3478]: #3480 -#3485 := [trans #3481 #3483]: #3484 -#3488 := [quant-intro #3485]: #3487 -#3472 := (iff #1541 #3471) -#3469 := (iff #1538 #3466) -#3452 := (or #636 #1347) -#3463 := (or #3452 #1534) -#3467 := (iff #3463 #3466) -#3468 := [rewrite]: #3467 -#3464 := (iff #1538 #3463) -#3461 := (iff #1531 #3452) -#3453 := (not #3452) -#3456 := (not #3453) -#3459 := (iff #3456 #3452) -#3460 := [rewrite]: #3459 -#3457 := (iff #1531 #3456) -#3454 := (iff #1526 #3453) -#3455 := [rewrite]: #3454 -#3458 := [monotonicity #3455]: #3457 -#3462 := [trans #3458 #3460]: #3461 -#3465 := [monotonicity #3462]: #3464 -#3470 := [trans #3465 #3468]: #3469 -#3473 := [quant-intro #3470]: #3472 -#3491 := [monotonicity #3473 #3488]: #3490 -#3499 := [trans #3491 #3497]: #3498 -#3450 := (iff #2890 #3449) -#3447 := (iff #2887 #3444) -#3430 := (or #2286 #3429) -#3441 := (or #3430 #2882) -#3445 := (iff #3441 #3444) -#3446 := [rewrite]: #3445 -#3442 := (iff #2887 #3441) -#3439 := (iff #2869 #3430) -#3431 := (not #3430) -#3434 := (not #3431) -#3437 := (iff #3434 #3430) -#3438 := [rewrite]: #3437 -#3435 := (iff #2869 #3434) -#3432 := (iff #2866 #3431) -#3433 := [rewrite]: #3432 -#3436 := [monotonicity #3433]: #3435 -#3440 := [trans #3436 #3438]: #3439 -#3443 := [monotonicity #3440]: #3442 -#3448 := [trans #3443 #3446]: #3447 -#3451 := [monotonicity #3448]: #3450 -#3502 := [monotonicity #3451 #3499]: #3501 -#3427 := (iff #1517 #3426) -#3424 := (iff #1512 #3421) -#3407 := (or #630 #3406) -#3418 := (or #3407 #1504) -#3422 := (iff #3418 #3421) -#3423 := [rewrite]: #3422 -#3419 := (iff #1512 #3418) -#3416 := (iff #664 #3407) -#3408 := (not #3407) -#3411 := (not #3408) -#3414 := (iff #3411 #3407) -#3415 := [rewrite]: #3414 -#3412 := (iff #664 #3411) -#3409 := (iff #656 #3408) -#3410 := [rewrite]: #3409 -#3413 := [monotonicity #3410]: #3412 -#3417 := [trans #3413 #3415]: #3416 -#3420 := [monotonicity #3417]: #3419 -#3425 := [trans #3420 #3423]: #3424 -#3428 := [quant-intro #3425]: #3427 -#3505 := [monotonicity #3428 #3502]: #3504 -#3513 := [trans #3505 #3511]: #3512 -#3404 := (iff #2863 #3403) -#3401 := (iff #2860 #3398) -#3384 := (or #3383 #2257) -#3395 := (or #3384 #2855) -#3399 := (iff #3395 #3398) -#3400 := [rewrite]: #3399 -#3396 := (iff #2860 #3395) -#3393 := (iff #2844 #3384) -#3385 := (not #3384) -#3388 := (not #3385) -#3391 := (iff #3388 #3384) -#3392 := [rewrite]: #3391 -#3389 := (iff #2844 #3388) -#3386 := (iff #2841 #3385) -#3387 := [rewrite]: #3386 -#3390 := [monotonicity #3387]: #3389 -#3394 := [trans #3390 #3392]: #3393 -#3397 := [monotonicity #3394]: #3396 -#3402 := [trans #3397 #3400]: #3401 -#3405 := [monotonicity #3402]: #3404 -#3516 := [monotonicity #3405 #3513]: #3515 -#3519 := [monotonicity #3516]: #3518 -#3526 := [trans #3519 #3524]: #3525 -#3529 := [monotonicity #3526]: #3528 -#3532 := [monotonicity #3529]: #3531 -#3539 := [trans #3532 #3537]: #3538 -#3542 := [monotonicity #3539]: #3541 -#3545 := [monotonicity #3542]: #3544 -#3552 := [trans #3545 #3550]: #3551 -#3555 := [monotonicity #3552]: #3554 -#3558 := [monotonicity #3555]: #3557 -#3565 := [trans #3558 #3563]: #3564 -#3568 := [monotonicity #3565]: #3567 -#3381 := (iff #1631 #3380) -#3378 := (iff #1628 #3375) -#3372 := (or #3355 #1625) -#3376 := (iff #3372 #3375) -#3377 := [rewrite]: #3376 -#3373 := (iff #1628 #3372) -#3370 := (iff #1620 #3355) -#3365 := (not #3356) -#3368 := (iff #3365 #3355) -#3369 := [rewrite]: #3368 -#3366 := (iff #1620 #3365) -#3357 := (iff #1462 #3356) -#3358 := [rewrite]: #3357 -#3367 := [monotonicity #3358]: #3366 -#3371 := [trans #3367 #3369]: #3370 -#3374 := [monotonicity #3371]: #3373 -#3379 := [trans #3374 #3377]: #3378 -#3382 := [quant-intro #3379]: #3381 -#3363 := (iff #1473 #3362) -#3360 := (iff #1468 #3359) -#3361 := [monotonicity #3358]: #3360 -#3364 := [quant-intro #3361]: #3363 -#3571 := [monotonicity #3364 #3382 #3568]: #3570 -#3580 := [trans #3571 #3578]: #3579 -#3731 := [monotonicity #3580 #3728]: #3730 -#3353 := (iff #2804 #3352) -#3350 := (iff #2801 #3347) -#3327 := (or #68 #1406) -#3344 := (or #3327 #3341) -#3348 := (iff #3344 #3347) -#3349 := [rewrite]: #3348 -#3345 := (iff #2801 #3344) -#3342 := (iff #2798 #3341) -#3343 := [rewrite]: #3342 -#3336 := (iff #1413 #3327) -#3328 := (not #3327) -#3331 := (not #3328) -#3334 := (iff #3331 #3327) -#3335 := [rewrite]: #3334 -#3332 := (iff #1413 #3331) -#3329 := (iff #1410 #3328) -#3330 := [rewrite]: #3329 -#3333 := [monotonicity #3330]: #3332 -#3337 := [trans #3333 #3335]: #3336 -#3346 := [monotonicity #3337 #3343]: #3345 -#3351 := [trans #3346 #3349]: #3350 -#3354 := [quant-intro #3351]: #3353 -#3325 := (iff #2764 #3324) -#3322 := (iff #2759 #3319) -#3299 := (or #68 #1388) -#3316 := (or #3299 #3313) -#3320 := (iff #3316 #3319) -#3321 := [rewrite]: #3320 -#3317 := (iff #2759 #3316) -#3314 := (iff #2753 #3313) -#3315 := [rewrite]: #3314 -#3308 := (iff #1395 #3299) -#3300 := (not #3299) -#3303 := (not #3300) -#3306 := (iff #3303 #3299) -#3307 := [rewrite]: #3306 -#3304 := (iff #1395 #3303) -#3301 := (iff #1392 #3300) -#3302 := [rewrite]: #3301 -#3305 := [monotonicity #3302]: #3304 -#3309 := [trans #3305 #3307]: #3308 -#3318 := [monotonicity #3309 #3315]: #3317 -#3323 := [trans #3318 #3321]: #3322 -#3326 := [quant-intro #3323]: #3325 -#3297 := (iff #1837 #3296) -#3294 := (iff #1832 #3291) -#3277 := (or #3276 #505) -#3288 := (or #3277 #1416) -#3292 := (iff #3288 #3291) -#3293 := [rewrite]: #3292 -#3289 := (iff #1832 #3288) -#3286 := (iff #517 #3277) -#3278 := (not #3277) -#3281 := (not #3278) -#3284 := (iff #3281 #3277) -#3285 := [rewrite]: #3284 -#3282 := (iff #517 #3281) -#3279 := (iff #511 #3278) -#3280 := [rewrite]: #3279 -#3283 := [monotonicity #3280]: #3282 -#3287 := [trans #3283 #3285]: #3286 -#3290 := [monotonicity #3287]: #3289 -#3295 := [trans #3290 #3293]: #3294 -#3298 := [quant-intro #3295]: #3297 -#3274 := (iff #1821 #3273) -#3271 := (iff #1818 #3268) -#3254 := (or #508 #1347) -#3265 := (or #3254 #1815) -#3269 := (iff #3265 #3268) -#3270 := [rewrite]: #3269 -#3266 := (iff #1818 #3265) -#3263 := (iff #1812 #3254) -#3255 := (not #3254) -#3258 := (not #3255) -#3261 := (iff #3258 #3254) -#3262 := [rewrite]: #3261 -#3259 := (iff #1812 #3258) -#3256 := (iff #1807 #3255) -#3257 := [rewrite]: #3256 -#3260 := [monotonicity #3257]: #3259 -#3264 := [trans #3260 #3262]: #3263 -#3267 := [monotonicity #3264]: #3266 -#3272 := [trans #3267 #3270]: #3271 -#3275 := [quant-intro #3272]: #3274 -#3734 := [monotonicity #3275 #3298 #3326 #3354 #3731]: #3733 -#3745 := [trans #3734 #3743]: #3744 -#3252 := (iff #2715 #3249) -#3244 := (and #2086 #3241 #2691) -#3250 := (iff #3244 #3249) -#3251 := [rewrite]: #3250 -#3245 := (iff #2715 #3244) -#3242 := (iff #2685 #3241) -#3239 := (iff #2682 #3230) -#3231 := (not #3230) -#3234 := (not #3231) -#3237 := (iff #3234 #3230) -#3238 := [rewrite]: #3237 -#3235 := (iff #2682 #3234) -#3232 := (iff #2679 #3231) -#3233 := [rewrite]: #3232 -#3236 := [monotonicity #3233]: #3235 -#3240 := [trans #3236 #3238]: #3239 -#3243 := [quant-intro #3240]: #3242 -#3246 := [monotonicity #3243]: #3245 -#3253 := [trans #3246 #3251]: #3252 -#3748 := [monotonicity #3253 #3745]: #3747 -#3227 := (iff #1360 #3226) -#3224 := (iff #1357 #3221) -#3207 := (or #78 #1347) -#3218 := (or #1342 #3207) -#3222 := (iff #3218 #3221) -#3223 := [rewrite]: #3222 -#3219 := (iff #1357 #3218) -#3216 := (iff #1354 #3207) -#3208 := (not #3207) -#3211 := (not #3208) -#3214 := (iff #3211 #3207) -#3215 := [rewrite]: #3214 -#3212 := (iff #1354 #3211) -#3209 := (iff #1351 #3208) -#3210 := [rewrite]: #3209 -#3213 := [monotonicity #3210]: #3212 -#3217 := [trans #3213 #3215]: #3216 -#3220 := [monotonicity #3217]: #3219 -#3225 := [trans #3220 #3223]: #3224 -#3228 := [quant-intro #3225]: #3227 -#3751 := [monotonicity #3228 #3748]: #3750 -#3759 := [trans #3751 #3757]: #3758 -#3205 := (iff #2676 #3204) -#3202 := (iff #2673 #3199) -#3185 := (or #2057 #3184) -#3196 := (or #2664 #3185) -#3200 := (iff #3196 #3199) -#3201 := [rewrite]: #3200 -#3197 := (iff #2673 #3196) -#3194 := (iff #2670 #3185) -#3186 := (not #3185) -#3189 := (not #3186) -#3192 := (iff #3189 #3185) -#3193 := [rewrite]: #3192 -#3190 := (iff #2670 #3189) -#3187 := (iff #2667 #3186) -#3188 := [rewrite]: #3187 -#3191 := [monotonicity #3188]: #3190 -#3195 := [trans #3191 #3193]: #3194 -#3198 := [monotonicity #3195]: #3197 -#3203 := [trans #3198 #3201]: #3202 -#3206 := [monotonicity #3203]: #3205 -#3762 := [monotonicity #3206 #3759]: #3761 -#3182 := (iff #1334 #3181) -#3179 := (iff #1329 #3176) -#3162 := (or #77 #2632) -#3173 := (or #3162 #1322) -#3177 := (iff #3173 #3176) -#3178 := [rewrite]: #3177 -#3174 := (iff #1329 #3173) -#3171 := (iff #460 #3162) -#3163 := (not #3162) -#3166 := (not #3163) -#3169 := (iff #3166 #3162) -#3170 := [rewrite]: #3169 -#3167 := (iff #460 #3166) -#3164 := (iff #454 #3163) -#3165 := [rewrite]: #3164 -#3168 := [monotonicity #3165]: #3167 -#3172 := [trans #3168 #3170]: #3171 -#3175 := [monotonicity #3172]: #3174 -#3180 := [trans #3175 #3178]: #3179 -#3183 := [quant-intro #3180]: #3182 -#3765 := [monotonicity #3183 #3762]: #3764 -#3773 := [trans #3765 #3771]: #3772 -#2534 := (iff #2657 #2421) -#2199 := (iff #2654 #2166) -#2042 := (or #2266 #2034) -#2297 := (or #2042 #2649) -#2167 := (iff #2297 #2166) -#2198 := [rewrite]: #2167 -#2499 := (iff #2654 #2297) -#2138 := (iff #2638 #2042) -#1973 := (not #2042) -#2218 := (not #1973) -#2018 := (iff #2218 #2042) -#2137 := [rewrite]: #2018 -#2219 := (iff #2638 #2218) -#1974 := (iff #2635 #1973) -#2043 := [rewrite]: #1974 -#2017 := [monotonicity #2043]: #2219 -#2296 := [trans #2017 #2137]: #2138 -#2500 := [monotonicity #2296]: #2499 -#2420 := [trans #2500 #2198]: #2199 -#2535 := [monotonicity #2420]: #2534 -#3776 := [monotonicity #2535 #3773]: #3775 -#3779 := [monotonicity #3776]: #3778 -#3786 := [trans #3779 #3784]: #3785 -#3789 := [monotonicity #3786]: #3788 -#3792 := [monotonicity #3789]: #3791 -#3799 := [trans #3792 #3797]: #3798 -#3802 := [monotonicity #3799]: #3801 -#2513 := (* -1::int #2512) -#2515 := (+ #2514 #2513) -#2518 := (+ #2517 #2515) -#2519 := (>= #2518 0::int) -#2528 := (and #2527 #2523) -#2529 := (not #2528) -#2530 := (or #2529 #2519) -#2531 := (not #2530) -#2550 := (or #2531 #2546) -#2489 := (+ #2488 #1707) -#2492 := (+ #2491 #2489) -#2493 := (= #2492 0::int) -#2494 := (>= #2489 0::int) -#2495 := (not #2494) -#2496 := (and #2495 #2493) -#2501 := (or #1716 #2496) -#2504 := (forall (vars (?x64 T2)) #2501) -#2554 := (and #2504 #2550) -#2453 := (+ #2452 #2450) -#2454 := (= #2453 0::int) -#2457 := (and #2456 #2454) -#2473 := (not #2457) -#2476 := (forall (vars (?x65 T2)) #2473) -#2462 := (= ?x64!17 uf_11) -#2463 := (not #2462) -#2464 := (and #2463 #2461) -#2465 := (not #2464) -#2470 := (not #2465) -#2480 := (and #2470 #2476) -#2558 := (or #2480 #2554) -#2438 := (not #1053) -#2435 := (not #1071) -#2432 := (not #1044) -#2429 := (not #1062) -#2562 := (and #2429 #2432 #2435 #2438 #2444 #2558) -#2417 := (and #2416 #2413) -#2311 := (+ #2310 #2308) -#2312 := (= #2311 0::int) -#2315 := (and #630 #2314 #2312) -#2332 := (not #2315) -#2335 := (forall (vars (?x53 T2)) #2332) -#2320 := (= ?x52!15 uf_11) -#2321 := (not #2320) -#2322 := (and #2321 #2319) -#2323 := (not #2322) -#2329 := (not #2323) -#2339 := (and #2329 #2335) -#2344 := (and #1541 #2339) -#2277 := (* -1::int #2276) -#2279 := (+ #2278 #2277) -#2282 := (+ #2281 #2279) -#2283 := (>= #2282 0::int) -#2290 := (and #2289 #2287) -#2291 := (not #2290) -#2292 := (or #2291 #2283) -#2293 := (not #2292) -#2348 := (or #2293 #2344) -#2352 := (and #1517 #2348) -#2250 := (* -1::int #2249) -#2252 := (+ #2251 #2250) -#2253 := (>= #2252 0::int) -#2259 := (and #2258 #2255) -#2260 := (not #2259) -#2261 := (or #2260 #2253) -#2262 := (not #2261) -#2356 := (or #2262 #2352) -#2360 := (and #1498 #2356) -#2364 := (or #2235 #2360) -#2229 := (not #1492) -#2368 := (and #2229 #2364) -#2372 := (or #1492 #2368) -#2376 := (and #642 #2372) -#2213 := (= #2212 #2211) -#2214 := (or #2213 #2210) -#2215 := (not #2214) -#2380 := (or #2215 #2376) -#2384 := (and #1484 #2380) -#2191 := (* -1::int #2190) -#2193 := (+ #2192 #2191) -#2194 := (>= #2193 0::int) -#2195 := (not #2194) -#2388 := (or #2195 #2384) -#2177 := (not #876) -#2425 := (and #2177 #588 #1473 #2388 #1631 #1649 #1657 #2417) -#2566 := (or #2425 #2562) -#2154 := (+ #2153 #1404) -#2157 := (+ #2156 #2154) -#2158 := (= #2157 0::int) -#2159 := (>= #2154 0::int) -#2160 := (not #2159) -#2163 := (and #2162 #2160 #2158) -#2168 := (or #1413 #2163) -#2171 := (forall (vars (?x39 T2)) #2168) -#2126 := (+ #1386 #2125) -#2128 := (+ #2127 #2126) -#2129 := (= #2128 0::int) -#2130 := (+ #2127 #1386) -#2131 := (>= #2130 0::int) -#2132 := (not #2131) -#2134 := (and #2133 #2132 #2129) -#2141 := (or #2134 #1395) -#2144 := (forall (vars (?x32 T2)) #2141) -#2120 := (not #1854) -#2591 := (and #2120 #2144 #2171 #2566 #1821 #1837 #1846) -#2087 := (= ?x32!5 uf_11) -#2088 := (not #2087) -#2089 := (and #2088 #2086) -#2090 := (not #2089) -#2112 := (not #2090) -#2099 := (and #77 #2098 #2095) -#2105 := (not #2099) -#2108 := (forall (vars (?x33 T2)) #2105) -#2115 := (and #2108 #2112) -#2595 := (or #2115 #2591) -#2599 := (and #1360 #2595) -#2060 := (and #2059 #2058) -#2061 := (not #2060) -#2064 := (+ #2063 #2054) -#2066 := (+ #2065 #2064) -#2067 := (>= #2066 0::int) -#2068 := (or #2067 #2061) -#2069 := (not #2068) -#2603 := (or #2069 #2599) -#2607 := (and #1334 #2603) -#2029 := (* -1::int #2028) -#2031 := (+ #2030 #2029) -#2032 := (>= #2031 0::int) -#2036 := (and #2035 #2033) -#2037 := (not #2036) -#2038 := (or #2037 #2032) -#2039 := (not #2038) -#2611 := (or #2039 #2607) -#2615 := (and #1314 #2611) -#2619 := (or #2014 #2615) -#1969 := (not #1308) -#2623 := (and #1969 #2619) -#2627 := (or #1308 #2623) -#3160 := (iff #2627 #3159) -#3157 := (iff #2623 #3156) -#3154 := (iff #2619 #3153) -#3151 := (iff #2615 #3150) -#3148 := (iff #2611 #3147) -#3145 := (iff #2607 #3144) -#3142 := (iff #2603 #3141) -#3139 := (iff #2599 #3138) -#3136 := (iff #2595 #3135) -#3133 := (iff #2591 #3130) -#3127 := (and #109 #2764 #2804 #3124 #1821 #1837 #1846) -#3131 := (iff #3127 #3130) -#3132 := [rewrite]: #3131 -#3128 := (iff #2591 #3127) -#3125 := (iff #2566 #3124) -#3122 := (iff #2562 #3121) -#3119 := (iff #2558 #3118) -#3116 := (iff #2554 #3115) -#3113 := (iff #2550 #3110) -#3107 := (or #3104 #2546) -#3111 := (iff #3107 #3110) -#3112 := [rewrite]: #3111 -#3108 := (iff #2550 #3107) -#3105 := (iff #2531 #3104) -#3102 := (iff #2530 #3101) -#3099 := (iff #2519 #3096) -#3087 := (+ #2514 #2517) -#3088 := (+ #2513 #3087) -#3091 := (>= #3088 0::int) -#3097 := (iff #3091 #3096) -#3098 := [rewrite]: #3097 -#3092 := (iff #2519 #3091) -#3089 := (= #2518 #3088) -#3090 := [rewrite]: #3089 -#3093 := [monotonicity #3090]: #3092 -#3100 := [trans #3093 #3098]: #3099 -#3085 := (iff #2529 #3084) -#3082 := (iff #2528 #3081) -#3083 := [rewrite]: #3082 -#3086 := [monotonicity #3083]: #3085 -#3103 := [monotonicity #3086 #3100]: #3102 -#3106 := [monotonicity #3103]: #3105 -#3109 := [monotonicity #3106]: #3108 -#3114 := [trans #3109 #3112]: #3113 -#3079 := (iff #2504 #3078) -#3076 := (iff #2501 #3075) -#3073 := (iff #2496 #3072) -#3070 := (iff #2493 #3067) -#3057 := (+ #2488 #2491) -#3058 := (+ #1707 #3057) -#3061 := (= #3058 0::int) -#3068 := (iff #3061 #3067) -#3069 := [rewrite]: #3068 -#3062 := (iff #2493 #3061) -#3059 := (= #2492 #3058) -#3060 := [rewrite]: #3059 -#3063 := [monotonicity #3060]: #3062 -#3071 := [trans #3063 #3069]: #3070 -#3055 := (iff #2495 #3054) -#3052 := (iff #2494 #3049) -#3041 := (+ #1707 #2488) -#3044 := (>= #3041 0::int) -#3050 := (iff #3044 #3049) -#3051 := [rewrite]: #3050 -#3045 := (iff #2494 #3044) -#3042 := (= #2489 #3041) -#3043 := [rewrite]: #3042 -#3046 := [monotonicity #3043]: #3045 -#3053 := [trans #3046 #3051]: #3052 -#3056 := [monotonicity #3053]: #3055 -#3074 := [monotonicity #3056 #3071]: #3073 -#3077 := [monotonicity #3074]: #3076 -#3080 := [quant-intro #3077]: #3079 -#3117 := [monotonicity #3080 #3114]: #3116 -#3039 := (iff #2480 #3036) -#3002 := (and #2461 #2996) -#3033 := (and #3002 #3030) -#3037 := (iff #3033 #3036) -#3038 := [rewrite]: #3037 -#3034 := (iff #2480 #3033) -#3031 := (iff #2476 #3030) -#3028 := (iff #2473 #3027) -#3025 := (iff #2457 #3024) -#3022 := (iff #2454 #3021) -#3019 := (= #2453 #3018) -#3020 := [rewrite]: #3019 -#3023 := [monotonicity #3020]: #3022 -#3026 := [monotonicity #3023]: #3025 -#3029 := [monotonicity #3026]: #3028 -#3032 := [quant-intro #3029]: #3031 -#3015 := (iff #2470 #3002) -#3007 := (not #3002) -#3010 := (not #3007) -#3013 := (iff #3010 #3002) -#3014 := [rewrite]: #3013 -#3011 := (iff #2470 #3010) -#3008 := (iff #2465 #3007) -#3005 := (iff #2464 #3002) -#2999 := (and #2996 #2461) -#3003 := (iff #2999 #3002) -#3004 := [rewrite]: #3003 -#3000 := (iff #2464 #2999) -#2997 := (iff #2463 #2996) -#2994 := (iff #2462 #2993) -#2995 := [rewrite]: #2994 -#2998 := [monotonicity #2995]: #2997 -#3001 := [monotonicity #2998]: #3000 -#3006 := [trans #3001 #3004]: #3005 -#3009 := [monotonicity #3006]: #3008 -#3012 := [monotonicity #3009]: #3011 -#3016 := [trans #3012 #3014]: #3015 -#3035 := [monotonicity #3016 #3032]: #3034 -#3040 := [trans #3035 #3038]: #3039 -#3120 := [monotonicity #3040 #3117]: #3119 -#2991 := (iff #2438 #933) -#2992 := [rewrite]: #2991 -#2989 := (iff #2435 #930) -#2990 := [rewrite]: #2989 -#2987 := (iff #2432 #234) -#2988 := [rewrite]: #2987 -#2985 := (iff #2429 #229) -#2986 := [rewrite]: #2985 -#3123 := [monotonicity #2986 #2988 #2990 #2992 #3120]: #3122 -#2983 := (iff #2425 #2980) -#2977 := (and #151 #588 #1473 #2974 #1631 #1649 #1657 #2417) -#2981 := (iff #2977 #2980) -#2982 := [rewrite]: #2981 -#2978 := (iff #2425 #2977) -#2975 := (iff #2388 #2974) -#2972 := (iff #2384 #2971) -#2969 := (iff #2380 #2968) -#2966 := (iff #2376 #2965) -#2963 := (iff #2372 #2962) -#2960 := (iff #2368 #2959) -#2957 := (iff #2364 #2956) -#2954 := (iff #2360 #2953) -#2951 := (iff #2356 #2950) -#2948 := (iff #2352 #2947) -#2945 := (iff #2348 #2944) -#2942 := (iff #2344 #2939) -#2902 := (and #2319 #2896) -#2933 := (and #2902 #2930) -#2936 := (and #1541 #2933) -#2940 := (iff #2936 #2939) -#2941 := [rewrite]: #2940 -#2937 := (iff #2344 #2936) -#2934 := (iff #2339 #2933) -#2931 := (iff #2335 #2930) -#2928 := (iff #2332 #2927) -#2925 := (iff #2315 #2924) -#2922 := (iff #2312 #2921) -#2919 := (= #2311 #2918) -#2920 := [rewrite]: #2919 -#2923 := [monotonicity #2920]: #2922 -#2926 := [monotonicity #2923]: #2925 -#2929 := [monotonicity #2926]: #2928 -#2932 := [quant-intro #2929]: #2931 -#2915 := (iff #2329 #2902) -#2907 := (not #2902) -#2910 := (not #2907) -#2913 := (iff #2910 #2902) -#2914 := [rewrite]: #2913 -#2911 := (iff #2329 #2910) -#2908 := (iff #2323 #2907) -#2905 := (iff #2322 #2902) -#2899 := (and #2896 #2319) -#2903 := (iff #2899 #2902) -#2904 := [rewrite]: #2903 -#2900 := (iff #2322 #2899) -#2897 := (iff #2321 #2896) -#2894 := (iff #2320 #2893) -#2895 := [rewrite]: #2894 -#2898 := [monotonicity #2895]: #2897 -#2901 := [monotonicity #2898]: #2900 -#2906 := [trans #2901 #2904]: #2905 -#2909 := [monotonicity #2906]: #2908 -#2912 := [monotonicity #2909]: #2911 -#2916 := [trans #2912 #2914]: #2915 -#2935 := [monotonicity #2916 #2932]: #2934 -#2938 := [monotonicity #2935]: #2937 -#2943 := [trans #2938 #2941]: #2942 -#2891 := (iff #2293 #2890) -#2888 := (iff #2292 #2887) -#2885 := (iff #2283 #2882) -#2872 := (+ #2278 #2281) -#2873 := (+ #2277 #2872) -#2876 := (>= #2873 0::int) -#2883 := (iff #2876 #2882) -#2884 := [rewrite]: #2883 -#2877 := (iff #2283 #2876) -#2874 := (= #2282 #2873) -#2875 := [rewrite]: #2874 -#2878 := [monotonicity #2875]: #2877 -#2886 := [trans #2878 #2884]: #2885 -#2870 := (iff #2291 #2869) -#2867 := (iff #2290 #2866) -#2868 := [rewrite]: #2867 -#2871 := [monotonicity #2868]: #2870 -#2889 := [monotonicity #2871 #2886]: #2888 -#2892 := [monotonicity #2889]: #2891 -#2946 := [monotonicity #2892 #2943]: #2945 -#2949 := [monotonicity #2946]: #2948 -#2864 := (iff #2262 #2863) -#2861 := (iff #2261 #2860) -#2858 := (iff #2253 #2855) -#2847 := (+ #2250 #2251) -#2850 := (>= #2847 0::int) -#2856 := (iff #2850 #2855) -#2857 := [rewrite]: #2856 -#2851 := (iff #2253 #2850) -#2848 := (= #2252 #2847) -#2849 := [rewrite]: #2848 -#2852 := [monotonicity #2849]: #2851 -#2859 := [trans #2852 #2857]: #2858 -#2845 := (iff #2260 #2844) -#2842 := (iff #2259 #2841) -#2843 := [rewrite]: #2842 -#2846 := [monotonicity #2843]: #2845 -#2862 := [monotonicity #2846 #2859]: #2861 -#2865 := [monotonicity #2862]: #2864 -#2952 := [monotonicity #2865 #2949]: #2951 -#2955 := [monotonicity #2952]: #2954 -#2958 := [monotonicity #2955]: #2957 -#2839 := (iff #2229 #173) -#2840 := [rewrite]: #2839 -#2961 := [monotonicity #2840 #2958]: #2960 -#2964 := [monotonicity #2961]: #2963 -#2967 := [monotonicity #2964]: #2966 -#2837 := (iff #2215 #2836) -#2834 := (iff #2214 #2831) -#2828 := (or #2825 #2210) -#2832 := (iff #2828 #2831) -#2833 := [rewrite]: #2832 -#2829 := (iff #2214 #2828) -#2826 := (iff #2213 #2825) -#2827 := [rewrite]: #2826 -#2830 := [monotonicity #2827]: #2829 -#2835 := [trans #2830 #2833]: #2834 -#2838 := [monotonicity #2835]: #2837 -#2970 := [monotonicity #2838 #2967]: #2969 -#2973 := [monotonicity #2970]: #2972 -#2823 := (iff #2195 #2822) -#2820 := (iff #2194 #2817) -#2809 := (+ #2191 #2192) -#2812 := (>= #2809 0::int) -#2818 := (iff #2812 #2817) -#2819 := [rewrite]: #2818 -#2813 := (iff #2194 #2812) -#2810 := (= #2193 #2809) -#2811 := [rewrite]: #2810 -#2814 := [monotonicity #2811]: #2813 -#2821 := [trans #2814 #2819]: #2820 -#2824 := [monotonicity #2821]: #2823 -#2976 := [monotonicity #2824 #2973]: #2975 -#2807 := (iff #2177 #151) -#2808 := [rewrite]: #2807 -#2979 := [monotonicity #2808 #2976]: #2978 -#2984 := [trans #2979 #2982]: #2983 -#3126 := [monotonicity #2984 #3123]: #3125 -#2805 := (iff #2171 #2804) -#2802 := (iff #2168 #2801) -#2799 := (iff #2163 #2798) -#2796 := (iff #2158 #2793) -#2783 := (+ #2153 #2156) -#2784 := (+ #1404 #2783) -#2787 := (= #2784 0::int) -#2794 := (iff #2787 #2793) -#2795 := [rewrite]: #2794 -#2788 := (iff #2158 #2787) -#2785 := (= #2157 #2784) -#2786 := [rewrite]: #2785 -#2789 := [monotonicity #2786]: #2788 -#2797 := [trans #2789 #2795]: #2796 -#2781 := (iff #2160 #2780) -#2778 := (iff #2159 #2775) -#2767 := (+ #1404 #2153) -#2770 := (>= #2767 0::int) -#2776 := (iff #2770 #2775) -#2777 := [rewrite]: #2776 -#2771 := (iff #2159 #2770) -#2768 := (= #2154 #2767) -#2769 := [rewrite]: #2768 -#2772 := [monotonicity #2769]: #2771 -#2779 := [trans #2772 #2777]: #2778 -#2782 := [monotonicity #2779]: #2781 -#2800 := [monotonicity #2782 #2797]: #2799 -#2803 := [monotonicity #2800]: #2802 -#2806 := [quant-intro #2803]: #2805 -#2765 := (iff #2144 #2764) -#2762 := (iff #2141 #2759) -#2756 := (or #2753 #1395) -#2760 := (iff #2756 #2759) -#2761 := [rewrite]: #2760 -#2757 := (iff #2141 #2756) -#2754 := (iff #2134 #2753) -#2751 := (iff #2129 #2748) -#2738 := (+ #2125 #2127) -#2739 := (+ #1386 #2738) -#2742 := (= #2739 0::int) -#2749 := (iff #2742 #2748) -#2750 := [rewrite]: #2749 -#2743 := (iff #2129 #2742) -#2740 := (= #2128 #2739) -#2741 := [rewrite]: #2740 -#2744 := [monotonicity #2741]: #2743 -#2752 := [trans #2744 #2750]: #2751 -#2736 := (iff #2132 #2735) -#2733 := (iff #2131 #2730) -#2722 := (+ #1386 #2127) -#2725 := (>= #2722 0::int) -#2731 := (iff #2725 #2730) -#2732 := [rewrite]: #2731 -#2726 := (iff #2131 #2725) -#2723 := (= #2130 #2722) -#2724 := [rewrite]: #2723 -#2727 := [monotonicity #2724]: #2726 -#2734 := [trans #2727 #2732]: #2733 -#2737 := [monotonicity #2734]: #2736 -#2755 := [monotonicity #2737 #2752]: #2754 -#2758 := [monotonicity #2755]: #2757 -#2763 := [trans #2758 #2761]: #2762 -#2766 := [quant-intro #2763]: #2765 -#2720 := (iff #2120 #109) -#2721 := [rewrite]: #2720 -#3129 := [monotonicity #2721 #2766 #2806 #3126]: #3128 -#3134 := [trans #3129 #3132]: #3133 -#2718 := (iff #2115 #2715) -#2697 := (and #2086 #2691) -#2712 := (and #2685 #2697) -#2716 := (iff #2712 #2715) -#2717 := [rewrite]: #2716 -#2713 := (iff #2115 #2712) -#2710 := (iff #2112 #2697) -#2702 := (not #2697) -#2705 := (not #2702) -#2708 := (iff #2705 #2697) -#2709 := [rewrite]: #2708 -#2706 := (iff #2112 #2705) -#2703 := (iff #2090 #2702) -#2700 := (iff #2089 #2697) -#2694 := (and #2691 #2086) -#2698 := (iff #2694 #2697) -#2699 := [rewrite]: #2698 -#2695 := (iff #2089 #2694) -#2692 := (iff #2088 #2691) -#2689 := (iff #2087 #2688) -#2690 := [rewrite]: #2689 -#2693 := [monotonicity #2690]: #2692 -#2696 := [monotonicity #2693]: #2695 -#2701 := [trans #2696 #2699]: #2700 -#2704 := [monotonicity #2701]: #2703 -#2707 := [monotonicity #2704]: #2706 -#2711 := [trans #2707 #2709]: #2710 -#2686 := (iff #2108 #2685) -#2683 := (iff #2105 #2682) -#2680 := (iff #2099 #2679) -#2681 := [rewrite]: #2680 -#2684 := [monotonicity #2681]: #2683 -#2687 := [quant-intro #2684]: #2686 -#2714 := [monotonicity #2687 #2711]: #2713 -#2719 := [trans #2714 #2717]: #2718 -#3137 := [monotonicity #2719 #3134]: #3136 -#3140 := [monotonicity #3137]: #3139 -#2677 := (iff #2069 #2676) -#2674 := (iff #2068 #2673) -#2671 := (iff #2061 #2670) -#2668 := (iff #2060 #2667) -#2669 := [rewrite]: #2668 -#2672 := [monotonicity #2669]: #2671 -#2665 := (iff #2067 #2664) -#2662 := (= #2066 #2661) -#2663 := [rewrite]: #2662 -#2666 := [monotonicity #2663]: #2665 -#2675 := [monotonicity #2666 #2672]: #2674 -#2678 := [monotonicity #2675]: #2677 -#3143 := [monotonicity #2678 #3140]: #3142 -#3146 := [monotonicity #3143]: #3145 -#2658 := (iff #2039 #2657) -#2655 := (iff #2038 #2654) -#2652 := (iff #2032 #2649) -#2641 := (+ #2029 #2030) -#2644 := (>= #2641 0::int) -#2650 := (iff #2644 #2649) -#2651 := [rewrite]: #2650 -#2645 := (iff #2032 #2644) -#2642 := (= #2031 #2641) -#2643 := [rewrite]: #2642 -#2646 := [monotonicity #2643]: #2645 -#2653 := [trans #2646 #2651]: #2652 -#2639 := (iff #2037 #2638) -#2636 := (iff #2036 #2635) -#2637 := [rewrite]: #2636 -#2640 := [monotonicity #2637]: #2639 -#2656 := [monotonicity #2640 #2653]: #2655 -#2659 := [monotonicity #2656]: #2658 -#3149 := [monotonicity #2659 #3146]: #3148 -#3152 := [monotonicity #3149]: #3151 -#3155 := [monotonicity #3152]: #3154 -#2633 := (iff #1969 #81) -#2634 := [rewrite]: #2633 -#3158 := [monotonicity #2634 #3155]: #3157 -#3161 := [monotonicity #3158]: #3160 -#1943 := (not #1907) -#2628 := (~ #1943 #2627) -#2624 := (not #1904) -#2625 := (~ #2624 #2623) -#2620 := (not #1901) -#2621 := (~ #2620 #2619) -#2616 := (not #1898) -#2617 := (~ #2616 #2615) -#2612 := (not #1895) -#2613 := (~ #2612 #2611) -#2608 := (not #1892) -#2609 := (~ #2608 #2607) -#2604 := (not #1889) -#2605 := (~ #2604 #2603) -#2600 := (not #1886) -#2601 := (~ #2600 #2599) -#2596 := (not #1883) -#2597 := (~ #2596 #2595) -#2592 := (not #1878) -#2593 := (~ #2592 #2591) -#2588 := (not #1849) -#2589 := (~ #2588 #1846) -#2586 := (~ #1846 #1846) -#2584 := (~ #1843 #1843) -#2585 := [refl]: #2584 -#2587 := [nnf-pos #2585]: #2586 -#2590 := [nnf-neg #2587]: #2589 -#2581 := (not #1840) -#2582 := (~ #2581 #1837) -#2579 := (~ #1837 #1837) -#2577 := (~ #1832 #1832) -#2578 := [refl]: #2577 -#2580 := [nnf-pos #2578]: #2579 -#2583 := [nnf-neg #2580]: #2582 -#2574 := (not #1824) -#2575 := (~ #2574 #1821) -#2572 := (~ #1821 #1821) -#2570 := (~ #1818 #1818) -#2571 := [refl]: #2570 -#2573 := [nnf-pos #2571]: #2572 -#2576 := [nnf-neg #2573]: #2575 -#2567 := (not #1801) -#2568 := (~ #2567 #2566) -#2563 := (not #1796) -#2564 := (~ #2563 #2562) -#2559 := (not #1778) -#2560 := (~ #2559 #2558) -#2555 := (not #1775) -#2556 := (~ #2555 #2554) -#2551 := (not #1772) -#2552 := (~ #2551 #2550) -#2547 := (not #1767) -#2548 := (~ #2547 #2546) -#2543 := (not #1759) -#2544 := (~ #2543 #1756) -#2541 := (~ #1756 #1756) -#2539 := (~ #1753 #1753) -#2540 := [refl]: #2539 -#2542 := [nnf-pos #2540]: #2541 -#2545 := [nnf-neg #2542]: #2544 -#2537 := (~ #2536 #2536) -#2538 := [refl]: #2537 -#2549 := [nnf-neg #2538 #2545]: #2548 -#2532 := (~ #1759 #2531) -#2533 := [sk]: #2532 -#2553 := [nnf-neg #2533 #2549]: #2552 -#2507 := (not #1741) -#2508 := (~ #2507 #2504) -#2505 := (~ #1738 #2504) -#2502 := (~ #1735 #2501) -#2497 := (~ #1732 #2496) -#2498 := [sk]: #2497 -#2485 := (~ #1716 #1716) -#2486 := [refl]: #2485 -#2503 := [monotonicity #2486 #2498]: #2502 -#2506 := [nnf-pos #2503]: #2505 -#2509 := [nnf-neg #2506]: #2508 -#2557 := [nnf-neg #2509 #2553]: #2556 -#2483 := (~ #1741 #2480) -#2458 := (exists (vars (?x65 T2)) #2457) -#2466 := (or #2465 #2458) -#2467 := (not #2466) -#2481 := (~ #2467 #2480) -#2477 := (not #2458) -#2478 := (~ #2477 #2476) -#2474 := (~ #2473 #2473) -#2475 := [refl]: #2474 -#2479 := [nnf-neg #2475]: #2478 -#2471 := (~ #2470 #2470) -#2472 := [refl]: #2471 -#2482 := [nnf-neg #2472 #2479]: #2481 -#2468 := (~ #1741 #2467) -#2469 := [sk]: #2468 -#2484 := [trans #2469 #2482]: #2483 -#2561 := [nnf-neg #2484 #2557]: #2560 -#2445 := (~ #1678 #2444) -#2442 := (~ #2441 #2441) -#2443 := [refl]: #2442 -#2446 := [nnf-neg #2443]: #2445 -#2439 := (~ #2438 #2438) -#2440 := [refl]: #2439 -#2436 := (~ #2435 #2435) -#2437 := [refl]: #2436 -#2433 := (~ #2432 #2432) -#2434 := [refl]: #2433 -#2430 := (~ #2429 #2429) -#2431 := [refl]: #2430 -#2565 := [nnf-neg #2431 #2434 #2437 #2440 #2446 #2561]: #2564 -#2426 := (not #1702) -#2427 := (~ #2426 #2425) -#2422 := (not #1678) -#2423 := (~ #2422 #2417) -#2418 := (~ #1675 #2417) -#2419 := [sk]: #2418 -#2424 := [nnf-neg #2419]: #2423 -#2406 := (~ #1657 #1657) -#2407 := [refl]: #2406 -#2403 := (not #1652) -#2404 := (~ #2403 #1649) -#2401 := (~ #1649 #1649) -#2399 := (~ #1644 #1644) -#2400 := [refl]: #2399 -#2402 := [nnf-pos #2400]: #2401 -#2405 := [nnf-neg #2402]: #2404 -#2396 := (not #1634) -#2397 := (~ #2396 #1631) -#2394 := (~ #1631 #1631) -#2392 := (~ #1628 #1628) -#2393 := [refl]: #2392 -#2395 := [nnf-pos #2393]: #2394 -#2398 := [nnf-neg #2395]: #2397 -#2389 := (not #1617) -#2390 := (~ #2389 #2388) -#2385 := (not #1614) -#2386 := (~ #2385 #2384) -#2381 := (not #1611) -#2382 := (~ #2381 #2380) -#2377 := (not #1608) -#2378 := (~ #2377 #2376) -#2373 := (not #1605) -#2374 := (~ #2373 #2372) -#2369 := (not #1602) -#2370 := (~ #2369 #2368) -#2365 := (not #1599) -#2366 := (~ #2365 #2364) -#2361 := (not #1596) -#2362 := (~ #2361 #2360) -#2357 := (not #1593) -#2358 := (~ #2357 #2356) -#2353 := (not #1590) -#2354 := (~ #2353 #2352) -#2349 := (not #1587) -#2350 := (~ #2349 #2348) -#2345 := (not #1584) -#2346 := (~ #2345 #2344) -#2326 := (not #1581) -#2342 := (~ #2326 #2339) -#2316 := (exists (vars (?x53 T2)) #2315) -#2324 := (or #2323 #2316) -#2325 := (not #2324) -#2340 := (~ #2325 #2339) -#2336 := (not #2316) -#2337 := (~ #2336 #2335) -#2333 := (~ #2332 #2332) -#2334 := [refl]: #2333 -#2338 := [nnf-neg #2334]: #2337 -#2330 := (~ #2329 #2329) -#2331 := [refl]: #2330 -#2341 := [nnf-neg #2331 #2338]: #2340 -#2327 := (~ #2326 #2325) -#2328 := [sk]: #2327 -#2343 := [trans #2328 #2341]: #2342 -#2302 := (not #1544) -#2303 := (~ #2302 #1541) -#2300 := (~ #1541 #1541) -#2298 := (~ #1538 #1538) -#2299 := [refl]: #2298 -#2301 := [nnf-pos #2299]: #2300 -#2304 := [nnf-neg #2301]: #2303 -#2347 := [nnf-neg #2304 #2343]: #2346 -#2294 := (~ #1544 #2293) -#2295 := [sk]: #2294 -#2351 := [nnf-neg #2295 #2347]: #2350 -#2271 := (not #1520) -#2272 := (~ #2271 #1517) -#2269 := (~ #1517 #1517) -#2267 := (~ #1512 #1512) -#2268 := [refl]: #2267 -#2270 := [nnf-pos #2268]: #2269 -#2273 := [nnf-neg #2270]: #2272 -#2355 := [nnf-neg #2273 #2351]: #2354 -#2263 := (~ #1520 #2262) -#2264 := [sk]: #2263 -#2359 := [nnf-neg #2264 #2355]: #2358 -#2244 := (not #1501) -#2245 := (~ #2244 #1498) -#2242 := (~ #1498 #1498) -#2240 := (~ #1495 #1495) -#2241 := [refl]: #2240 -#2243 := [nnf-pos #2241]: #2242 -#2246 := [nnf-neg #2243]: #2245 -#2363 := [nnf-neg #2246 #2359]: #2362 -#2236 := (~ #1501 #2235) -#2237 := [sk]: #2236 -#2367 := [nnf-neg #2237 #2363]: #2366 -#2230 := (~ #2229 #2229) -#2231 := [refl]: #2230 -#2371 := [nnf-neg #2231 #2367]: #2370 -#2227 := (~ #1492 #1492) -#2228 := [refl]: #2227 -#2375 := [nnf-neg #2228 #2371]: #2374 -#2224 := (not #824) -#2225 := (~ #2224 #642) -#2222 := (~ #642 #642) -#2220 := (~ #637 #637) -#2221 := [refl]: #2220 -#2223 := [nnf-pos #2221]: #2222 -#2226 := [nnf-neg #2223]: #2225 -#2379 := [nnf-neg #2226 #2375]: #2378 -#2216 := (~ #824 #2215) -#2217 := [sk]: #2216 -#2383 := [nnf-neg #2217 #2379]: #2382 -#2204 := (not #1487) -#2205 := (~ #2204 #1484) -#2202 := (~ #1484 #1484) -#2200 := (~ #1479 #1479) -#2201 := [refl]: #2200 -#2203 := [nnf-pos #2201]: #2202 -#2206 := [nnf-neg #2203]: #2205 -#2387 := [nnf-neg #2206 #2383]: #2386 -#2196 := (~ #1487 #2195) -#2197 := [sk]: #2196 -#2391 := [nnf-neg #2197 #2387]: #2390 -#2186 := (not #1476) -#2187 := (~ #2186 #1473) -#2184 := (~ #1473 #1473) -#2182 := (~ #1468 #1468) -#2183 := [refl]: #2182 -#2185 := [nnf-pos #2183]: #2184 -#2188 := [nnf-neg #2185]: #2187 -#2180 := (~ #588 #588) -#2181 := [refl]: #2180 -#2178 := (~ #2177 #2177) -#2179 := [refl]: #2178 -#2428 := [nnf-neg #2179 #2181 #2188 #2391 #2398 #2405 #2407 #2424]: #2427 -#2569 := [nnf-neg #2428 #2565]: #2568 -#2174 := (not #1446) -#2175 := (~ #2174 #2171) -#2172 := (~ #1443 #2171) -#2169 := (~ #1440 #2168) -#2164 := (~ #1437 #2163) -#2165 := [sk]: #2164 -#2150 := (~ #1413 #1413) -#2151 := [refl]: #2150 -#2170 := [monotonicity #2151 #2165]: #2169 -#2173 := [nnf-pos #2170]: #2172 -#2176 := [nnf-neg #2173]: #2175 -#2147 := (not #1857) -#2148 := (~ #2147 #2144) -#2145 := (~ #1401 #2144) -#2142 := (~ #1398 #2141) -#2139 := (~ #1395 #1395) -#2140 := [refl]: #2139 -#2135 := (~ #1383 #2134) -#2136 := [sk]: #2135 -#2143 := [monotonicity #2136 #2140]: #2142 -#2146 := [nnf-pos #2143]: #2145 -#2149 := [nnf-neg #2146]: #2148 -#2121 := (~ #2120 #2120) -#2122 := [refl]: #2121 -#2594 := [nnf-neg #2122 #2149 #2176 #2569 #2576 #2583 #2590]: #2593 -#2118 := (~ #1857 #2115) -#2100 := (exists (vars (?x33 T2)) #2099) -#2101 := (or #2100 #2090) -#2102 := (not #2101) -#2116 := (~ #2102 #2115) -#2113 := (~ #2112 #2112) -#2114 := [refl]: #2113 -#2109 := (not #2100) -#2110 := (~ #2109 #2108) -#2106 := (~ #2105 #2105) -#2107 := [refl]: #2106 -#2111 := [nnf-neg #2107]: #2110 -#2117 := [nnf-neg #2111 #2114]: #2116 -#2103 := (~ #1857 #2102) -#2104 := [sk]: #2103 -#2119 := [trans #2104 #2117]: #2118 -#2598 := [nnf-neg #2119 #2594]: #2597 -#2078 := (not #1363) -#2079 := (~ #2078 #1360) -#2076 := (~ #1360 #1360) -#2074 := (~ #1357 #1357) -#2075 := [refl]: #2074 -#2077 := [nnf-pos #2075]: #2076 -#2080 := [nnf-neg #2077]: #2079 -#2602 := [nnf-neg #2080 #2598]: #2601 -#2070 := (~ #1363 #2069) -#2071 := [sk]: #2070 -#2606 := [nnf-neg #2071 #2602]: #2605 -#2048 := (not #1337) -#2049 := (~ #2048 #1334) -#2046 := (~ #1334 #1334) -#2044 := (~ #1329 #1329) -#2045 := [refl]: #2044 -#2047 := [nnf-pos #2045]: #2046 -#2050 := [nnf-neg #2047]: #2049 -#2610 := [nnf-neg #2050 #2606]: #2609 -#2040 := (~ #1337 #2039) -#2041 := [sk]: #2040 -#2614 := [nnf-neg #2041 #2610]: #2613 -#2023 := (not #1317) -#2024 := (~ #2023 #1314) -#2021 := (~ #1314 #1314) -#2019 := (~ #1313 #1313) -#2020 := [refl]: #2019 -#2022 := [nnf-pos #2020]: #2021 -#2025 := [nnf-neg #2022]: #2024 -#2618 := [nnf-neg #2025 #2614]: #2617 -#2015 := (~ #1317 #2014) -#2016 := [sk]: #2015 -#2622 := [nnf-neg #2016 #2618]: #2621 -#1970 := (~ #1969 #1969) -#2010 := [refl]: #1970 -#2626 := [nnf-neg #2010 #2622]: #2625 -#2008 := (~ #1308 #1308) -#2009 := [refl]: #2008 -#2629 := [nnf-neg #2009 #2626]: #2628 -#1944 := [not-or-elim #1940]: #1943 -#2630 := [mp~ #1944 #2629]: #2627 -#2631 := [mp #2630 #3161]: #3159 -#3803 := [mp #2631 #3802]: #3800 -#4734 := [mp #3803 #4733]: #4731 -#7295 := [unit-resolution #4734 #5487]: #4728 -#4058 := (or #4725 #4719) -#4059 := [def-axiom]: #4058 -#7296 := [unit-resolution #4059 #7295]: #4719 -#373 := (<= uf_9 0::int) -#374 := (not #373) -#57 := (< 0::int uf_9) -#375 := (iff #57 #374) -#376 := [rewrite]: #375 -#369 := [asserted]: #57 -#377 := [mp #369 #376]: #374 -#5901 := (* -1::int #2012) -#5891 := (+ uf_9 #5901) -#5892 := (<= #5891 0::int) -#5472 := (= uf_9 #2012) -#5745 := (= uf_11 ?x27!0) -#5918 := (not #5745) -#5916 := (= #2012 0::int) -#5836 := (not #5916) -#5835 := [hypothesis]: #2014 -#5837 := (or #5836 #2013) -#5896 := [th-lemma]: #5837 -#5922 := [unit-resolution #5896 #5835]: #5836 -#5981 := (or #5347 #5918 #5916) -#5477 := (= ?x27!0 uf_11) -#5917 := (not #5477) -#5890 := (or #5917 #5916) -#5982 := (or #5347 #5890) -#5987 := (iff #5982 #5981) -#5915 := (or #5918 #5916) -#5984 := (or #5347 #5915) -#5985 := (iff #5984 #5981) -#5986 := [rewrite]: #5985 -#6000 := (iff #5982 #5984) -#5921 := (iff #5890 #5915) -#5919 := (iff #5917 #5918) -#5743 := (iff #5477 #5745) -#5746 := [rewrite]: #5743 -#5920 := [monotonicity #5746]: #5919 -#5980 := [monotonicity #5920]: #5921 -#5979 := [monotonicity #5980]: #6000 -#5988 := [trans #5979 #5986]: #5987 -#5983 := [quant-inst]: #5982 -#6010 := [mp #5983 #5988]: #5981 -#5923 := [unit-resolution #6010 #4740 #5922]: #5918 -#5748 := (or #5472 #5745) -#4356 := (forall (vars (?x25 T2)) (:pat #4355) #443) -#4359 := (iff #448 #4356) -#4357 := (iff #443 #443) -#4358 := [refl]: #4357 -#4360 := [quant-intro #4358]: #4359 -#1967 := (~ #448 #448) -#2005 := (~ #443 #443) -#2006 := [refl]: #2005 -#1968 := [nnf-pos #2006]: #1967 -#1942 := [not-or-elim #1940]: #448 -#2007 := [mp~ #1942 #1968]: #448 -#4361 := [mp #2007 #4360]: #4356 -#5821 := (not #4356) -#5827 := (or #5821 #5472 #5745) -#5737 := (or #5477 #5472) -#5828 := (or #5821 #5737) -#5894 := (iff #5828 #5827) -#5830 := (or #5821 #5748) -#5846 := (iff #5830 #5827) -#5847 := [rewrite]: #5846 -#5826 := (iff #5828 #5830) -#5756 := (iff #5737 #5748) -#5736 := (or #5745 #5472) -#5752 := (iff #5736 #5748) -#5753 := [rewrite]: #5752 -#5747 := (iff #5737 #5736) -#5744 := [monotonicity #5746]: #5747 -#5834 := [trans #5744 #5753]: #5756 -#5831 := [monotonicity #5834]: #5826 -#5895 := [trans #5831 #5847]: #5894 -#5829 := [quant-inst]: #5828 -#5900 := [mp #5829 #5895]: #5827 -#5924 := [unit-resolution #5900 #4361]: #5748 -#5989 := [unit-resolution #5924 #5923]: #5472 -#6012 := (not #5472) -#6013 := (or #6012 #5892) -#6014 := [th-lemma]: #6013 -#6042 := [unit-resolution #6014 #5989]: #5892 -#6011 := (<= #2012 0::int) -#6043 := (or #6011 #2013) -#6044 := [th-lemma]: #6043 -#6045 := [unit-resolution #6044 #5835]: #6011 -#6046 := [th-lemma #6045 #6042 #377]: false -#6041 := [lemma #6046]: #2013 -#4053 := (or #4722 #2014 #4716) -#4054 := [def-axiom]: #4053 -#7297 := [unit-resolution #4054 #6041 #7296]: #4716 -#4077 := (or #4713 #4707) -#4078 := [def-axiom]: #4077 -#7298 := [unit-resolution #4078 #7297]: #4707 -#4071 := (or #4710 #2421 #4704) -#4073 := [def-axiom]: #4071 -#7299 := [unit-resolution #4073 #7298 #7294]: #4704 -#4098 := (or #4701 #4695) -#4099 := [def-axiom]: #4098 -#7300 := [unit-resolution #4099 #7299]: #4695 -#6817 := [hypothesis]: #2059 -#6051 := (or #5709 #3184) -#6081 := [quant-inst]: #6051 -#6818 := [unit-resolution #6081 #4354 #6817]: false -#6839 := [lemma #6818]: #3184 -#3960 := (or #3199 #2059) -#3964 := [def-axiom]: #3960 -#7301 := [unit-resolution #3964 #6839]: #3199 -#4094 := (or #4698 #3204 #4692) -#4095 := [def-axiom]: #4094 -#7302 := [unit-resolution #4095 #7301 #7300]: #4692 -#4108 := (or #4689 #4683) -#4129 := [def-axiom]: #4108 -#7303 := [unit-resolution #4129 #7302]: #4683 -#6633 := (= uf_9 #2082) -#6706 := (not #6633) -#6684 := [hypothesis]: #4400 -#4274 := (or #4397 #2086) -#3948 := [def-axiom]: #4274 -#6685 := [unit-resolution #3948 #6684]: #2086 -#6798 := (or #6706 #2085) -#6840 := [th-lemma]: #6798 -#6835 := [unit-resolution #6840 #6685]: #6706 -#3949 := (or #4397 #2691) -#4281 := [def-axiom]: #3949 -#6841 := [unit-resolution #4281 #6684]: #2691 -#6695 := (or #5821 #2688 #6633) -#6680 := (or #2087 #6633) -#6696 := (or #5821 #6680) -#6732 := (iff #6696 #6695) -#6548 := (or #2688 #6633) -#6694 := (or #5821 #6548) -#6699 := (iff #6694 #6695) -#6705 := [rewrite]: #6699 -#6697 := (iff #6696 #6694) -#6608 := (iff #6680 #6548) -#6665 := [monotonicity #2690]: #6608 -#6698 := [monotonicity #6665]: #6697 -#6728 := [trans #6698 #6705]: #6732 -#6547 := [quant-inst]: #6696 -#6734 := [mp #6547 #6728]: #6695 -#6842 := [unit-resolution #6734 #4361 #6841 #6835]: false -#6843 := [lemma #6842]: #4397 -#4116 := (or #4686 #4400 #4680) -#4117 := [def-axiom]: #4116 -#7304 := [unit-resolution #4117 #6843 #7303]: #4680 -#4149 := (or #4677 #4404) -#4145 := [def-axiom]: #4149 -#7305 := [unit-resolution #4145 #7304]: #4404 -#24124 := (or #4409 #20405) -#25438 := [quant-inst]: #24124 -#29563 := [unit-resolution #25438 #7305]: #20405 -#15997 := (* -1::int #15996) -#15993 := (uf_1 #15992 ?x52!15) -#15994 := (uf_10 #15993) -#15995 := (* -1::int #15994) -#16012 := (+ #15995 #15997) -#15362 := (uf_4 uf_14 ?x52!15) -#16013 := (+ #15362 #16012) -#22006 := (>= #16013 0::int) -#16016 := (= #16013 0::int) -#16019 := (not #16016) -#16004 := (uf_6 uf_15 #15992) -#16005 := (= uf_8 #16004) -#16006 := (not #16005) -#16002 := (+ #15362 #15997) -#16003 := (<= #16002 0::int) -#16025 := (or #16003 #16006 #16019) -#16030 := (not #16025) -#15397 := (* -1::int #15362) -#16009 := (+ uf_9 #15397) -#16010 := (<= #16009 0::int) -#34324 := (not #16010) -#15398 := (+ #2306 #15397) -#14218 := (>= #15398 0::int) -#15367 := (= #2306 #15362) -decl uf_3 :: (-> T1 T2) -#20604 := (uf_3 #15993) -#32578 := (uf_6 uf_15 #20604) -#32576 := (= uf_8 #32578) -#5319 := (uf_6 #150 uf_16) -#5314 := (= uf_8 #5319) -decl uf_2 :: (-> T1 T2) -#6008 := (uf_1 uf_16 uf_11) -#7128 := (uf_2 #6008) -#32602 := (= #7128 #20604) -#32591 := (ite #32602 #5314 #32576) -#7203 := (uf_7 uf_15 #7128 #5319) -#32554 := (uf_6 #7203 #20604) -#32538 := (= uf_8 #32554) -#32564 := (iff #32538 #32591) -#30 := (:var 1 T5) -#20 := (:var 2 T2) -#29 := (:var 3 T4) -#31 := (uf_7 #29 #20 #30) -#32 := (uf_6 #31 #11) -#4314 := (pattern #32) -#36 := (uf_6 #29 #11) -#335 := (= uf_8 #36) -#35 := (= #30 uf_8) -#24 := (= #11 #20) -#338 := (ite #24 #35 #335) -#34 := (= #32 uf_8) -#341 := (iff #34 #338) -#4315 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4314) #341) -#344 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #341) -#4318 := (iff #344 #4315) -#4316 := (iff #341 #341) -#4317 := [refl]: #4316 -#4319 := [quant-intro #4317]: #4318 -#1953 := (~ #344 #344) -#1989 := (~ #341 #341) -#1990 := [refl]: #1989 -#1954 := [nnf-pos #1990]: #1953 -#37 := (= #36 uf_8) -#38 := (ite #24 #35 #37) -#39 := (iff #34 #38) -#40 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #39) -#345 := (iff #40 #344) -#342 := (iff #39 #341) -#339 := (iff #38 #338) -#336 := (iff #37 #335) -#337 := [rewrite]: #336 -#340 := [monotonicity #337]: #339 -#343 := [monotonicity #340]: #342 -#346 := [quant-intro #343]: #345 -#333 := [asserted]: #40 -#349 := [mp #333 #346]: #344 -#1991 := [mp~ #349 #1954]: #344 -#4320 := [mp #1991 #4319]: #4315 -#7026 := (not #4315) -#32561 := (or #7026 #32564) -#6089 := (= #5319 uf_8) -#32580 := (= #20604 #7128) -#32553 := (ite #32580 #6089 #32576) -#32556 := (= #32554 uf_8) -#32579 := (iff #32556 #32553) -#32603 := (or #7026 #32579) -#32548 := (iff #32603 #32561) -#32606 := (iff #32561 #32561) -#32631 := [rewrite]: #32606 -#32629 := (iff #32579 #32564) -#32535 := (iff #32553 #32591) -#6101 := (iff #6089 #5314) -#6102 := [rewrite]: #6101 -#32601 := (iff #32580 #32602) -#32563 := [rewrite]: #32601 -#32560 := [monotonicity #32563 #6102]: #32535 -#32537 := (iff #32556 #32538) -#32557 := [rewrite]: #32537 -#32565 := [monotonicity #32557 #32560]: #32629 -#32587 := [monotonicity #32565]: #32548 -#32604 := [trans #32587 #32631]: #32548 -#32558 := [quant-inst]: #32603 -#32623 := [mp #32558 #32604]: #32561 -#32954 := [unit-resolution #32623 #4320]: #32564 -#30313 := (not #32538) -#8488 := (uf_6 uf_17 ?x52!15) -#9319 := (= uf_8 #8488) -#9846 := (not #9319) -#32968 := (iff #9846 #30313) -#32955 := (iff #9319 #32538) -#32985 := (iff #32538 #9319) -#32980 := (= #32554 #8488) -#32983 := (= #20604 ?x52!15) -#20605 := (= ?x52!15 #20604) -#12 := (uf_1 #10 #11) -#4294 := (pattern #12) -#13 := (uf_3 #12) -#317 := (= #11 #13) -#4295 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #4294) #317) -#321 := (forall (vars (?x2 T2) (?x3 T2)) #317) -#4298 := (iff #321 #4295) -#4296 := (iff #317 #317) -#4297 := [refl]: #4296 -#4299 := [quant-intro #4297]: #4298 -#1948 := (~ #321 #321) -#1980 := (~ #317 #317) -#1981 := [refl]: #1980 -#1946 := [nnf-pos #1981]: #1948 -#14 := (= #13 #11) -#15 := (forall (vars (?x2 T2) (?x3 T2)) #14) -#322 := (iff #15 #321) -#319 := (iff #14 #317) -#320 := [rewrite]: #319 -#323 := [quant-intro #320]: #322 -#316 := [asserted]: #15 -#326 := [mp #316 #323]: #321 -#1982 := [mp~ #326 #1946]: #321 -#4300 := [mp #1982 #4299]: #4295 -#5378 := (not #4295) -#27981 := (or #5378 #20605) -#27945 := [quant-inst]: #27981 -#32953 := [unit-resolution #27945 #4300]: #20605 -#32984 := [symm #32953]: #32983 -#8596 := (= #7203 uf_17) -#8594 := (= #150 uf_17) -#4147 := (or #4677 #109) -#4148 := [def-axiom]: #4147 -#7307 := [unit-resolution #4148 #7304]: #109 -#4150 := (or #4677 #4412) -#4130 := [def-axiom]: #4150 -#8027 := [unit-resolution #4130 #7304]: #4412 -#4137 := (or #4677 #4437) -#4132 := [def-axiom]: #4137 -#8030 := [unit-resolution #4132 #7304]: #4437 -#5284 := (or #4665 #4442 #4417 #1854) -#4776 := (uf_4 uf_14 ?x64!17) -#4777 := (* -1::int #4776) -#4778 := (+ uf_9 #4777) -#4779 := (<= #4778 0::int) -#4845 := (?x40!7 ?x64!17) -#4941 := (uf_6 uf_15 #4845) -#4942 := (= uf_8 #4941) -#4943 := (not #4942) -#4848 := (uf_4 uf_14 #4845) -#4849 := (* -1::int #4848) -#4939 := (+ #4776 #4849) -#4940 := (<= #4939 0::int) -#4846 := (uf_1 #4845 ?x64!17) -#4847 := (uf_10 #4846) -#4842 := (* -1::int #4847) -#4926 := (+ #4842 #4849) -#4927 := (+ #4776 #4926) -#4930 := (= #4927 0::int) -#4932 := (not #4930) -#5006 := (or #4932 #4940 #4943) -#5242 := [hypothesis]: #4668 -#4159 := (or #4665 #933) -#4154 := [def-axiom]: #4159 -#5243 := [unit-resolution #4154 #5242]: #933 -#4134 := (or #4665 #4659) -#4135 := [def-axiom]: #4134 -#5244 := [unit-resolution #4135 #5242]: #4659 -#5245 := [hypothesis]: #109 -#5247 := (= #250 #108) -#5246 := [symm #5243]: #231 -#5248 := [monotonicity #5246]: #5247 -#5249 := [trans #5248 #5245]: #251 -#4193 := (or #4641 #2536) -#4198 := [def-axiom]: #4193 -#5250 := [unit-resolution #4198 #5249]: #4641 -#5087 := [hypothesis]: #4412 -#4160 := (or #4665 #4601) -#4133 := [def-axiom]: #4160 -#5230 := [unit-resolution #4133 #5242]: #4601 -#5100 := (or #3693 #4417 #4606 #1053) -#4862 := (uf_4 uf_14 ?x67!19) -#3931 := (uf_4 uf_14 ?x66!20) -#3932 := (* -1::int #3931) -#4955 := (+ #3932 #4862) -#4956 := (+ #2517 #4955) -#4959 := (>= #4956 0::int) -#4866 := (uf_6 uf_15 ?x67!19) -#4867 := (= uf_8 #4866) -#4863 := (* -1::int #4862) -#4864 := (+ uf_9 #4863) -#4865 := (<= #4864 0::int) -#5068 := (not #4865) -#5072 := [hypothesis]: #3698 -#4189 := (or #3693 #2523) -#4186 := [def-axiom]: #4189 -#5073 := [unit-resolution #4186 #5072]: #2523 -#5061 := (+ #2514 #4863) -#5063 := (>= #5061 0::int) -#5060 := (= #2514 #4862) -#5075 := (= #4862 #2514) -#5074 := [hypothesis]: #933 -#5076 := [monotonicity #5074]: #5075 -#5077 := [symm #5076]: #5060 -#5078 := (not #5060) -#5079 := (or #5078 #5063) -#5080 := [th-lemma]: #5079 -#5081 := [unit-resolution #5080 #5077]: #5063 -#5069 := (not #5063) -#5070 := (or #5068 #5069 #2522) -#5064 := [hypothesis]: #2523 -#5065 := [hypothesis]: #4865 -#5066 := [hypothesis]: #5063 -#5067 := [th-lemma #5066 #5065 #5064]: false -#5071 := [lemma #5067]: #5070 -#5082 := [unit-resolution #5071 #5081 #5073]: #5068 -#4869 := (or #4865 #4867) -#5083 := [hypothesis]: #4601 -#4872 := (or #4606 #4865 #4867) -#4868 := (or #4867 #4865) -#4873 := (or #4606 #4868) -#4880 := (iff #4873 #4872) -#4875 := (or #4606 #4869) -#4878 := (iff #4875 #4872) -#4879 := [rewrite]: #4878 -#4876 := (iff #4873 #4875) -#4870 := (iff #4868 #4869) -#4871 := [rewrite]: #4870 -#4877 := [monotonicity #4871]: #4876 -#4881 := [trans #4877 #4879]: #4880 -#4874 := [quant-inst]: #4873 -#4882 := [mp #4874 #4881]: #4872 -#5084 := [unit-resolution #4882 #5083]: #4869 -#5085 := [unit-resolution #5084 #5082]: #4867 -#4953 := (not #4867) -#5088 := (or #4953 #4959) -#4190 := (or #3693 #2527) -#4170 := [def-axiom]: #4190 -#5086 := [unit-resolution #4170 #5072]: #2527 -#4970 := (or #4417 #2526 #4953 #4959) -#4948 := (+ #4862 #3932) -#4949 := (+ #2517 #4948) -#4952 := (>= #4949 0::int) -#4954 := (or #4953 #2526 #4952) -#4971 := (or #4417 #4954) -#4978 := (iff #4971 #4970) -#4965 := (or #2526 #4953 #4959) -#4973 := (or #4417 #4965) -#4976 := (iff #4973 #4970) -#4977 := [rewrite]: #4976 -#4974 := (iff #4971 #4973) -#4968 := (iff #4954 #4965) -#4962 := (or #4953 #2526 #4959) -#4966 := (iff #4962 #4965) -#4967 := [rewrite]: #4966 -#4963 := (iff #4954 #4962) -#4960 := (iff #4952 #4959) -#4957 := (= #4949 #4956) -#4958 := [rewrite]: #4957 -#4961 := [monotonicity #4958]: #4960 -#4964 := [monotonicity #4961]: #4963 -#4969 := [trans #4964 #4967]: #4968 -#4975 := [monotonicity #4969]: #4974 -#4979 := [trans #4975 #4977]: #4978 -#4972 := [quant-inst]: #4971 -#4980 := [mp #4972 #4979]: #4970 -#5089 := [unit-resolution #4980 #5087 #5086]: #5088 -#5090 := [unit-resolution #5089 #5085]: #4959 -#4171 := (not #3096) -#4173 := (or #3693 #4171) -#4174 := [def-axiom]: #4173 -#5091 := [unit-resolution #4174 #5072]: #4171 -#5054 := (+ #2512 #3932) -#5058 := (<= #5054 0::int) -#5053 := (= #2512 #3931) -#5092 := (= #3931 #2512) -#5093 := [monotonicity #5074]: #5092 -#5094 := [symm #5093]: #5053 -#5095 := (not #5053) -#5096 := (or #5095 #5058) -#5097 := [th-lemma]: #5096 -#5098 := [unit-resolution #5097 #5094]: #5058 -#5099 := [th-lemma #5098 #5091 #5081 #5090]: false -#5101 := [lemma #5099]: #5100 -#5231 := [unit-resolution #5101 #5230 #5087 #5243]: #3693 -#4181 := (or #4650 #4644 #3698) -#4182 := [def-axiom]: #4181 -#5232 := [unit-resolution #4182 #5231 #5250]: #4650 -#4161 := (or #4653 #4647) -#4162 := [def-axiom]: #4161 -#5233 := [unit-resolution #4162 #5232]: #4653 -#4169 := (or #4662 #4622 #4656) -#4155 := [def-axiom]: #4169 -#5234 := [unit-resolution #4155 #5233 #5244]: #4622 -#4194 := (or #4619 #4611) -#4195 := [def-axiom]: #4194 -#5229 := [unit-resolution #4195 #5234]: #4611 -#5713 := (or #5006 #4616 #1053) -#5123 := (uf_4 uf_22 #4845) -#5136 := (* -1::int #5123) -#5137 := (+ #2448 #5136) -#5138 := (<= #5137 0::int) -#5150 := (+ #4842 #5136) -#5151 := (+ #2448 #5150) -#5152 := (= #5151 0::int) -#5382 := (+ #4848 #5136) -#5387 := (>= #5382 0::int) -#5381 := (= #4848 #5123) -#5643 := (= #5123 #4848) -#5642 := [symm #5074]: #231 -#5644 := [monotonicity #5642]: #5643 -#5645 := [symm #5644]: #5381 -#5646 := (not #5381) -#5647 := (or #5646 #5387) -#5648 := [th-lemma]: #5647 -#5649 := [unit-resolution #5648 #5645]: #5387 -#5119 := (+ #2448 #4777) -#5121 := (>= #5119 0::int) -#5118 := (= #2448 #4776) -#5629 := (= #4776 #2448) -#5630 := [monotonicity #5074]: #5629 -#5631 := [symm #5630]: #5118 -#5632 := (not #5118) -#5633 := (or #5632 #5121) -#5628 := [th-lemma]: #5633 -#5634 := [unit-resolution #5628 #5631]: #5121 -#5040 := (>= #4927 0::int) -#5005 := (not #5006) -#5635 := [hypothesis]: #5005 -#5042 := (or #5006 #4930) -#5043 := [def-axiom]: #5042 -#5636 := [unit-resolution #5043 #5635]: #4930 -#5637 := (or #4932 #5040) -#5638 := [th-lemma]: #5637 -#5653 := [unit-resolution #5638 #5636]: #5040 -#5386 := (<= #5382 0::int) -#5654 := (or #5646 #5386) -#5675 := [th-lemma]: #5654 -#5676 := [unit-resolution #5675 #5645]: #5386 -#5120 := (<= #5119 0::int) -#5677 := (or #5632 #5120) -#5678 := [th-lemma]: #5677 -#5679 := [unit-resolution #5678 #5631]: #5120 -#5034 := (<= #4927 0::int) -#5674 := (or #4932 #5034) -#5680 := [th-lemma]: #5674 -#5681 := [unit-resolution #5680 #5636]: #5034 -#5562 := (not #5387) -#5567 := (not #5121) -#5566 := (not #5040) -#5779 := (not #5386) -#5778 := (not #5120) -#5777 := (not #5034) -#5572 := (or #5152 #5777 #5778 #5779 #5566 #5567 #5562) -#5774 := [hypothesis]: #5386 -#5775 := [hypothesis]: #5120 -#5776 := [hypothesis]: #5034 -#5157 := (not #5152) -#5772 := [hypothesis]: #5157 -#5175 := (>= #5151 0::int) -#5563 := [hypothesis]: #5387 -#5564 := [hypothesis]: #5121 -#5565 := [hypothesis]: #5040 -#5568 := (or #5175 #5566 #5567 #5562) -#5569 := [th-lemma]: #5568 -#5570 := [unit-resolution #5569 #5565 #5564 #5563]: #5175 -#5784 := (not #5175) -#5788 := (or #5784 #5152 #5777 #5778 #5779) -#5773 := [hypothesis]: #5175 -#5174 := (<= #5151 0::int) -#5780 := (or #5174 #5777 #5778 #5779) -#5781 := [th-lemma]: #5780 -#5782 := [unit-resolution #5781 #5776 #5775 #5774]: #5174 -#5783 := (not #5174) -#5785 := (or #5152 #5783 #5784) -#5786 := [th-lemma]: #5785 -#5787 := [unit-resolution #5786 #5782 #5773 #5772]: false -#5789 := [lemma #5787]: #5788 -#5571 := [unit-resolution #5789 #5570 #5772 #5776 #5775 #5774]: false -#5641 := [lemma #5571]: #5572 -#5682 := [unit-resolution #5641 #5681 #5679 #5676 #5653 #5634 #5649]: #5152 -#5160 := (or #5138 #5157) -#5683 := [hypothesis]: #4611 -#5163 := (or #4616 #5138 #5157) -#5122 := (+ #2449 #4847) -#5124 := (+ #5123 #5122) -#5125 := (= #5124 0::int) -#5126 := (not #5125) -#5127 := (+ #5123 #2449) -#5128 := (>= #5127 0::int) -#5129 := (or #5128 #5126) -#5164 := (or #4616 #5129) -#5171 := (iff #5164 #5163) -#5166 := (or #4616 #5160) -#5169 := (iff #5166 #5163) -#5170 := [rewrite]: #5169 -#5167 := (iff #5164 #5166) -#5161 := (iff #5129 #5160) -#5158 := (iff #5126 #5157) -#5155 := (iff #5125 #5152) -#5143 := (+ #4847 #5123) -#5144 := (+ #2449 #5143) -#5147 := (= #5144 0::int) -#5153 := (iff #5147 #5152) -#5154 := [rewrite]: #5153 -#5148 := (iff #5125 #5147) -#5145 := (= #5124 #5144) -#5146 := [rewrite]: #5145 -#5149 := [monotonicity #5146]: #5148 -#5156 := [trans #5149 #5154]: #5155 -#5159 := [monotonicity #5156]: #5158 -#5141 := (iff #5128 #5138) -#5130 := (+ #2449 #5123) -#5133 := (>= #5130 0::int) -#5139 := (iff #5133 #5138) -#5140 := [rewrite]: #5139 -#5134 := (iff #5128 #5133) -#5131 := (= #5127 #5130) -#5132 := [rewrite]: #5131 -#5135 := [monotonicity #5132]: #5134 -#5142 := [trans #5135 #5140]: #5141 -#5162 := [monotonicity #5142 #5159]: #5161 -#5168 := [monotonicity #5162]: #5167 -#5172 := [trans #5168 #5170]: #5171 -#5165 := [quant-inst]: #5164 -#5173 := [mp #5165 #5172]: #5163 -#5684 := [unit-resolution #5173 #5683]: #5160 -#5710 := [unit-resolution #5684 #5682]: #5138 -#5041 := (not #4940) -#5044 := (or #5006 #5041) -#5045 := [def-axiom]: #5044 -#5711 := [unit-resolution #5045 #5635]: #5041 -#5712 := [th-lemma #5634 #5711 #5649 #5710]: false -#5714 := [lemma #5712]: #5713 -#5235 := [unit-resolution #5714 #5229 #5243]: #5006 -#5238 := (or #4779 #5005) -#4191 := (or #4619 #2996) -#4192 := [def-axiom]: #4191 -#5236 := [unit-resolution #4192 #5234]: #2996 -#5237 := [hypothesis]: #4437 -#5023 := (or #4442 #2993 #4779 #5005) -#4850 := (+ #4849 #4842) -#4851 := (+ #4776 #4850) -#4852 := (= #4851 0::int) -#4938 := (not #4852) -#4944 := (or #4943 #4940 #4938) -#4945 := (not #4944) -#4946 := (or #2462 #4779 #4945) -#5025 := (or #4442 #4946) -#5031 := (iff #5025 #5023) -#5013 := (or #2993 #4779 #5005) -#5027 := (or #4442 #5013) -#5024 := (iff #5027 #5023) -#5030 := [rewrite]: #5024 -#5028 := (iff #5025 #5027) -#5014 := (iff #4946 #5013) -#5011 := (iff #4945 #5005) -#5009 := (iff #4944 #5006) -#4935 := (or #4943 #4940 #4932) -#5007 := (iff #4935 #5006) -#5008 := [rewrite]: #5007 -#4950 := (iff #4944 #4935) -#4933 := (iff #4938 #4932) -#4925 := (iff #4852 #4930) -#4928 := (= #4851 #4927) -#4929 := [rewrite]: #4928 -#4931 := [monotonicity #4929]: #4925 -#4934 := [monotonicity #4931]: #4933 -#4951 := [monotonicity #4934]: #4950 -#5010 := [trans #4951 #5008]: #5009 -#5012 := [monotonicity #5010]: #5011 -#5015 := [monotonicity #2995 #5012]: #5014 -#5029 := [monotonicity #5015]: #5028 -#5032 := [trans #5029 #5030]: #5031 -#5026 := [quant-inst]: #5025 -#5033 := [mp #5026 #5032]: #5023 -#5239 := [unit-resolution #5033 #5237 #5236]: #5238 -#5254 := [unit-resolution #5239 #5235]: #4779 -#4200 := (or #4619 #2461) -#4207 := [def-axiom]: #4200 -#5255 := [unit-resolution #4207 #5234]: #2461 -#5280 := [monotonicity #5243]: #5629 -#5281 := [symm #5280]: #5118 -#5282 := [unit-resolution #5628 #5281]: #5121 -#5283 := [th-lemma #5282 #5255 #5254]: false -#5279 := [lemma #5283]: #5284 -#8031 := [unit-resolution #5279 #8030 #8027 #7307]: #4665 -#4138 := (or #4677 #4671) -#4106 := [def-axiom]: #4138 -#7357 := [unit-resolution #4106 #7304]: #4671 -#4143 := (or #4674 #4598 #4668) -#4144 := [def-axiom]: #4143 -#7389 := [unit-resolution #4144 #7357 #8031]: #4598 -#4125 := (or #4595 #151) -#4126 := [def-axiom]: #4125 -#8578 := [unit-resolution #4126 #7389]: #151 -#8595 := [symm #8578]: #8594 -#8592 := (= #7203 #150) -#48 := (:var 0 T5) -#47 := (:var 2 T4) -#49 := (uf_7 #47 #10 #48) -#4329 := (pattern #49) -#360 := (= uf_8 #48) -#50 := (uf_6 #49 #10) -#356 := (= uf_8 #50) -#363 := (iff #356 #360) -#4330 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4329) #363) -#366 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #363) -#4333 := (iff #366 #4330) -#4331 := (iff #363 #363) -#4332 := [refl]: #4331 -#4334 := [quant-intro #4332]: #4333 -#1957 := (~ #366 #366) -#1995 := (~ #363 #363) -#1996 := [refl]: #1995 -#1958 := [nnf-pos #1996]: #1957 -#52 := (= #48 uf_8) -#51 := (= #50 uf_8) -#53 := (iff #51 #52) -#54 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #53) -#367 := (iff #54 #366) -#364 := (iff #53 #363) -#361 := (iff #52 #360) -#362 := [rewrite]: #361 -#358 := (iff #51 #356) -#359 := [rewrite]: #358 -#365 := [monotonicity #359 #362]: #364 -#368 := [quant-intro #365]: #367 -#355 := [asserted]: #54 -#371 := [mp #355 #368]: #366 -#1997 := [mp~ #371 #1958]: #366 -#4335 := [mp #1997 #4334]: #4330 -#7014 := (not #4330) -#7015 := (or #7014 #5314) -#5318 := (= uf_8 uf_8) -#5320 := (iff #5314 #5318) -#7018 := (or #7014 #5320) -#7020 := (iff #7018 #7015) -#7022 := (iff #7015 #7015) -#7023 := [rewrite]: #7022 -#5344 := (iff #5320 #5314) -#5323 := (iff #5314 true) -#5342 := (iff #5323 #5314) -#5343 := [rewrite]: #5342 -#5324 := (iff #5320 #5323) -#5321 := (iff #5318 true) -#5322 := [rewrite]: #5321 -#5340 := [monotonicity #5322]: #5324 -#5345 := [trans #5340 #5343]: #5344 -#7021 := [monotonicity #5345]: #7020 -#7024 := [trans #7021 #7023]: #7020 -#7019 := [quant-inst]: #7018 -#7025 := [mp #7019 #7024]: #7015 -#8579 := [unit-resolution #7025 #4335]: #5314 -#8580 := [symm #8579]: #6089 -#8035 := (= #7128 uf_16) -#7129 := (= uf_16 #7128) -#16 := (uf_2 #12) -#325 := (= #10 #16) -#4301 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #4294) #325) -#329 := (forall (vars (?x4 T2) (?x5 T2)) #325) -#4304 := (iff #329 #4301) -#4302 := (iff #325 #325) -#4303 := [refl]: #4302 -#4305 := [quant-intro #4303]: #4304 -#1949 := (~ #329 #329) -#1983 := (~ #325 #325) -#1984 := [refl]: #1983 -#1950 := [nnf-pos #1984]: #1949 -#17 := (= #16 #10) -#18 := (forall (vars (?x4 T2) (?x5 T2)) #17) -#330 := (iff #18 #329) -#327 := (iff #17 #325) -#328 := [rewrite]: #327 -#331 := [quant-intro #328]: #330 -#324 := [asserted]: #18 -#334 := [mp #324 #331]: #329 -#1985 := [mp~ #334 #1950]: #329 -#4306 := [mp #1985 #4305]: #4301 -#7136 := (not #4301) -#7154 := (or #7136 #7129) -#7155 := [quant-inst]: #7154 -#8034 := [unit-resolution #7155 #4306]: #7129 -#8036 := [symm #8034]: #8035 -#8593 := [monotonicity #8036 #8580]: #8592 -#8591 := [trans #8593 #8595]: #8596 -#32982 := [monotonicity #8591 #32984]: #32980 -#32970 := [monotonicity #32982]: #32985 -#32965 := [symm #32970]: #32955 -#32971 := [monotonicity #32965]: #32968 -#32956 := (not #15367) -#32950 := [hypothesis]: #32956 -#15373 := (or #9846 #15367) -#8693 := (= #144 #2212) -#8633 := (= #2212 #144) -#6559 := (= ?x46!9 uf_16) -#7707 := (= ?x46!9 #7128) -#6330 := (uf_6 uf_15 ?x46!9) -#6365 := (= uf_8 #6330) -#7717 := (ite #7707 #5314 #6365) -#7711 := (uf_6 #7203 ?x46!9) -#7714 := (= uf_8 #7711) -#7720 := (iff #7714 #7717) -#8351 := (or #7026 #7720) -#7708 := (ite #7707 #6089 #6365) -#7712 := (= #7711 uf_8) -#7713 := (iff #7712 #7708) -#8361 := (or #7026 #7713) -#8363 := (iff #8361 #8351) -#8365 := (iff #8351 #8351) -#8366 := [rewrite]: #8365 -#7721 := (iff #7713 #7720) -#7718 := (iff #7708 #7717) -#7719 := [monotonicity #6102]: #7718 -#7715 := (iff #7712 #7714) -#7716 := [rewrite]: #7715 -#7722 := [monotonicity #7716 #7719]: #7721 -#8364 := [monotonicity #7722]: #8363 -#8367 := [trans #8364 #8366]: #8363 -#8362 := [quant-inst]: #8361 -#8368 := [mp #8362 #8367]: #8351 -#8576 := [unit-resolution #8368 #4320]: #7720 -#8601 := (= #2208 #7711) -#8597 := (= #7711 #2208) -#8598 := [monotonicity #8591]: #8597 -#8625 := [symm #8598]: #8601 -#8571 := [hypothesis]: #2836 -#4285 := (or #2831 #2209) -#4275 := [def-axiom]: #4285 -#8577 := [unit-resolution #4275 #8571]: #2209 -#8626 := [trans #8577 #8625]: #7714 -#8404 := (not #7714) -#8401 := (not #7720) -#8405 := (or #8401 #8404 #7717) -#8400 := [def-axiom]: #8405 -#8627 := [unit-resolution #8400 #8626 #8576]: #7717 -#6393 := (uf_1 uf_16 ?x46!9) -#6394 := (uf_10 #6393) -#6337 := (* -1::int #2212) -#6411 := (+ #6337 #6394) -#6412 := (+ #144 #6411) -#6413 := (>= #6412 0::int) -#8287 := (not #6413) -#6395 := (* -1::int #6394) -#6396 := (+ uf_9 #6395) -#6397 := (<= #6396 0::int) -#6421 := (or #6397 #6413) -#6426 := (not #6421) -#3935 := (not #2825) -#3940 := (or #2831 #3935) -#4276 := [def-axiom]: #3940 -#8572 := [unit-resolution #4276 #8571]: #3935 -#4212 := (or #4595 #4456) -#4213 := [def-axiom]: #4212 -#8574 := [unit-resolution #4213 #7389]: #4456 -#8302 := (or #4461 #2825 #6426) -#6398 := (+ #1449 #6395) -#6399 := (+ #2212 #6398) -#6400 := (<= #6399 0::int) -#6401 := (or #6400 #6397) -#6402 := (not #6401) -#6403 := (or #2213 #6402) -#8303 := (or #4461 #6403) -#8310 := (iff #8303 #8302) -#6429 := (or #2825 #6426) -#8305 := (or #4461 #6429) -#8308 := (iff #8305 #8302) -#8309 := [rewrite]: #8308 -#8306 := (iff #8303 #8305) -#6430 := (iff #6403 #6429) -#6427 := (iff #6402 #6426) -#6424 := (iff #6401 #6421) -#6418 := (or #6413 #6397) -#6422 := (iff #6418 #6421) -#6423 := [rewrite]: #6422 -#6419 := (iff #6401 #6418) -#6416 := (iff #6400 #6413) -#6404 := (+ #2212 #6395) -#6405 := (+ #1449 #6404) -#6408 := (<= #6405 0::int) -#6414 := (iff #6408 #6413) -#6415 := [rewrite]: #6414 -#6409 := (iff #6400 #6408) -#6406 := (= #6399 #6405) -#6407 := [rewrite]: #6406 -#6410 := [monotonicity #6407]: #6409 -#6417 := [trans #6410 #6415]: #6416 -#6420 := [monotonicity #6417]: #6419 -#6425 := [trans #6420 #6423]: #6424 -#6428 := [monotonicity #6425]: #6427 -#6431 := [monotonicity #2827 #6428]: #6430 -#8307 := [monotonicity #6431]: #8306 -#8311 := [trans #8307 #8309]: #8310 -#8304 := [quant-inst]: #8303 -#8312 := [mp #8304 #8311]: #8302 -#8628 := [unit-resolution #8312 #8574 #8572]: #6426 -#8288 := (or #6421 #8287) -#8289 := [def-axiom]: #8288 -#8629 := [unit-resolution #8289 #8628]: #8287 -#8369 := (not #7717) -#9187 := (or #7707 #6413 #8369) -#7754 := (uf_1 #7128 ?x46!9) -#7838 := (uf_3 #7754) -#9086 := (uf_4 uf_14 #7838) -#9087 := (* -1::int #9086) -#7168 := (uf_4 uf_14 #7128) -#9088 := (+ #7168 #9087) -#9089 := (>= #9088 0::int) -#9090 := (uf_6 uf_15 #7838) -#9091 := (= uf_8 #9090) -#9139 := (= #6330 #9090) -#9135 := (= #9090 #6330) -#9133 := (= #7838 ?x46!9) -#7839 := (= ?x46!9 #7838) -#8519 := (or #5378 #7839) -#8257 := [quant-inst]: #8519 -#9132 := [unit-resolution #8257 #4300]: #7839 -#9134 := [symm #9132]: #9133 -#9136 := [monotonicity #9134]: #9135 -#9140 := [symm #9136]: #9139 -#9129 := [hypothesis]: #7717 -#7733 := (not #7707) -#9130 := [hypothesis]: #7733 -#8347 := (or #8369 #7707 #6365) -#8354 := [def-axiom]: #8347 -#9131 := [unit-resolution #8354 #9130 #9129]: #6365 -#9141 := [trans #9131 #9140]: #9091 -#9092 := (not #9091) -#9154 := (or #9089 #9092) -#7246 := (uf_6 uf_15 #7128) -#7247 := (= uf_8 #7246) -#9149 := (not #7247) -#9150 := (iff #588 #9149) -#9147 := (iff #585 #7247) -#9145 := (iff #7247 #585) -#9143 := (= #7246 #141) -#9144 := [monotonicity #8036]: #9143 -#9146 := [monotonicity #9144]: #9145 -#9148 := [symm #9146]: #9147 -#9151 := [monotonicity #9148]: #9150 -#4127 := (or #4595 #588) -#4220 := [def-axiom]: #4127 -#9142 := [unit-resolution #4220 #7389]: #588 -#9152 := [mp #9142 #9151]: #9149 -#4076 := (or #4677 #4421) -#4131 := [def-axiom]: #4076 -#9153 := [unit-resolution #4131 #7304]: #4421 -#9097 := (or #4426 #7247 #9089 #9092) -#9093 := (or #9092 #7247 #9089) -#9098 := (or #4426 #9093) -#9105 := (iff #9098 #9097) -#9094 := (or #7247 #9089 #9092) -#9100 := (or #4426 #9094) -#9103 := (iff #9100 #9097) -#9104 := [rewrite]: #9103 -#9101 := (iff #9098 #9100) -#9095 := (iff #9093 #9094) -#9096 := [rewrite]: #9095 -#9102 := [monotonicity #9096]: #9101 -#9106 := [trans #9102 #9104]: #9105 -#9099 := [quant-inst]: #9098 -#9107 := [mp #9099 #9106]: #9097 -#9155 := [unit-resolution #9107 #9153 #9152]: #9154 -#9156 := [unit-resolution #9155 #9141]: #9089 -#9157 := [hypothesis]: #8287 -#7755 := (uf_10 #7754) -#7756 := (* -1::int #7755) -#8520 := (+ #6394 #7756) -#8524 := (>= #8520 0::int) -#8517 := (= #6394 #7755) -#9160 := (= #7755 #6394) -#9158 := (= #7754 #6393) -#9159 := [monotonicity #8036]: #9158 -#9161 := [monotonicity #9159]: #9160 -#9162 := [symm #9161]: #8517 -#9163 := (not #8517) -#9164 := (or #9163 #8524) -#9165 := [th-lemma]: #9164 -#9166 := [unit-resolution #9165 #9162]: #8524 -#8514 := (>= #7755 0::int) -#7798 := (<= #7755 0::int) -#7799 := (not #7798) -#7804 := (or #7707 #7799) -#59 := (uf_10 #12) -#409 := (<= #59 0::int) -#410 := (not #409) -#58 := (= #10 #11) -#413 := (or #58 #410) -#4342 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #4294) #413) -#416 := (forall (vars (?x22 T2) (?x23 T2)) #413) -#4345 := (iff #416 #4342) -#4343 := (iff #413 #413) -#4344 := [refl]: #4343 -#4346 := [quant-intro #4344]: #4345 -#1963 := (~ #416 #416) -#1962 := (~ #413 #413) -#2000 := [refl]: #1962 -#1964 := [nnf-pos #2000]: #1963 -#64 := (< 0::int #59) -#63 := (not #58) -#65 := (implies #63 #64) -#66 := (forall (vars (?x22 T2) (?x23 T2)) #65) -#419 := (iff #66 #416) -#403 := (or #58 #64) -#406 := (forall (vars (?x22 T2) (?x23 T2)) #403) -#417 := (iff #406 #416) -#414 := (iff #403 #413) -#411 := (iff #64 #410) -#412 := [rewrite]: #411 -#415 := [monotonicity #412]: #414 -#418 := [quant-intro #415]: #417 -#407 := (iff #66 #406) -#404 := (iff #65 #403) -#405 := [rewrite]: #404 -#408 := [quant-intro #405]: #407 -#420 := [trans #408 #418]: #419 -#402 := [asserted]: #66 -#421 := [mp #402 #420]: #416 -#2001 := [mp~ #421 #1964]: #416 -#4347 := [mp #2001 #4346]: #4342 -#7093 := (not #4342) -#8435 := (or #7093 #7707 #7799) -#7800 := (= #7128 ?x46!9) -#7801 := (or #7800 #7799) -#8436 := (or #7093 #7801) -#8447 := (iff #8436 #8435) -#8437 := (or #7093 #7804) -#8443 := (iff #8437 #8435) -#8444 := [rewrite]: #8443 -#8438 := (iff #8436 #8437) -#7805 := (iff #7801 #7804) -#7802 := (iff #7800 #7707) -#7803 := [rewrite]: #7802 -#7806 := [monotonicity #7803]: #7805 -#8439 := [monotonicity #7806]: #8438 -#8448 := [trans #8439 #8444]: #8447 -#8434 := [quant-inst]: #8436 -#8482 := [mp #8434 #8448]: #8435 -#9167 := [unit-resolution #8482 #4347]: #7804 -#9168 := [unit-resolution #9167 #9130]: #7799 -#9169 := (or #8514 #7798) -#9170 := [th-lemma]: #9169 -#9171 := [unit-resolution #9170 #9168]: #8514 -#9126 := (+ #2212 #9087) -#9127 := (<= #9126 0::int) -#9125 := (= #2212 #9086) -#9172 := (= #9086 #2212) -#9173 := [monotonicity #9134]: #9172 -#9174 := [symm #9173]: #9125 -#9175 := (not #9125) -#9176 := (or #9175 #9127) -#9177 := [th-lemma]: #9176 -#9178 := [unit-resolution #9177 #9174]: #9127 -#7162 := (* -1::int #7168) -#7568 := (+ #144 #7162) -#7572 := (>= #7568 0::int) -#7233 := (= #144 #7168) -#9179 := (= #7168 #144) -#9180 := [monotonicity #8036]: #9179 -#9181 := [symm #9180]: #7233 -#9182 := (not #7233) -#9183 := (or #9182 #7572) -#9184 := [th-lemma]: #9183 -#9185 := [unit-resolution #9184 #9181]: #7572 -#9186 := [th-lemma #9185 #9178 #9171 #9166 #9157 #9156]: false -#9188 := [lemma #9186]: #9187 -#8624 := [unit-resolution #9188 #8629 #8627]: #7707 -#8630 := [trans #8624 #8036]: #6559 -#8634 := [monotonicity #8630]: #8633 -#8694 := [symm #8634]: #8693 -#8695 := (= #2211 #144) -#5856 := (uf_18 uf_16) -#8641 := (= #5856 #144) -#5857 := (= #144 #5856) -#5844 := (uf_1 uf_16 uf_16) -#5845 := (uf_10 #5844) -#5864 := (>= #5845 0::int) -#5848 := (* -1::int #5845) -#5849 := (+ uf_9 #5848) -#5850 := (<= #5849 0::int) -#5872 := (or #5850 #5864) -#7965 := (uf_1 #7128 #7128) -#7966 := (uf_10 #7965) -#7967 := (* -1::int #7966) -#8029 := (+ #5845 #7967) -#8033 := (>= #8029 0::int) -#8028 := (= #5845 #7966) -#8039 := (= #5844 #7965) -#8037 := (= #7965 #5844) -#8038 := [monotonicity #8036 #8036]: #8037 -#8040 := [symm #8038]: #8039 -#8041 := [monotonicity #8040]: #8028 -#8042 := (not #8028) -#8043 := (or #8042 #8033) -#8044 := [th-lemma]: #8043 -#8045 := [unit-resolution #8044 #8041]: #8033 -#7976 := (>= #7966 0::int) -#7998 := (= #7966 0::int) -#60 := (= #59 0::int) -#393 := (or #63 #60) -#4336 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4294) #393) -#396 := (forall (vars (?x20 T2) (?x21 T2)) #393) -#4339 := (iff #396 #4336) -#4337 := (iff #393 #393) -#4338 := [refl]: #4337 -#4340 := [quant-intro #4338]: #4339 -#1959 := (~ #396 #396) -#1998 := (~ #393 #393) -#1999 := [refl]: #1998 -#1960 := [nnf-pos #1999]: #1959 -#61 := (implies #58 #60) -#62 := (forall (vars (?x20 T2) (?x21 T2)) #61) -#399 := (iff #62 #396) -#372 := (= 0::int #59) -#383 := (or #63 #372) -#388 := (forall (vars (?x20 T2) (?x21 T2)) #383) -#397 := (iff #388 #396) -#394 := (iff #383 #393) -#391 := (iff #372 #60) -#392 := [rewrite]: #391 -#395 := [monotonicity #392]: #394 -#398 := [quant-intro #395]: #397 -#389 := (iff #62 #388) -#386 := (iff #61 #383) -#380 := (implies #58 #372) -#384 := (iff #380 #383) -#385 := [rewrite]: #384 -#381 := (iff #61 #380) -#378 := (iff #60 #372) -#379 := [rewrite]: #378 -#382 := [monotonicity #379]: #381 -#387 := [trans #382 #385]: #386 -#390 := [quant-intro #387]: #389 -#400 := [trans #390 #398]: #399 -#370 := [asserted]: #62 -#401 := [mp #370 #400]: #396 -#1961 := [mp~ #401 #1960]: #396 -#4341 := [mp #1961 #4340]: #4336 -#6863 := (not #4336) -#8012 := (or #6863 #7998) -#7248 := (= #7128 #7128) -#7999 := (not #7248) -#8000 := (or #7999 #7998) -#8013 := (or #6863 #8000) -#8015 := (iff #8013 #8012) -#8017 := (iff #8012 #8012) -#8018 := [rewrite]: #8017 -#8010 := (iff #8000 #7998) -#8005 := (or false #7998) -#8008 := (iff #8005 #7998) -#8009 := [rewrite]: #8008 -#8006 := (iff #8000 #8005) -#8003 := (iff #7999 false) -#8001 := (iff #7999 #6849) -#7256 := (iff #7248 true) -#7257 := [rewrite]: #7256 -#8002 := [monotonicity #7257]: #8001 -#8004 := [trans #8002 #6853]: #8003 -#8007 := [monotonicity #8004]: #8006 -#8011 := [trans #8007 #8009]: #8010 -#8016 := [monotonicity #8011]: #8015 -#8019 := [trans #8016 #8018]: #8015 -#8014 := [quant-inst]: #8013 -#8020 := [mp #8014 #8019]: #8012 -#8046 := [unit-resolution #8020 #4341]: #7998 -#8047 := (not #7998) -#8048 := (or #8047 #7976) -#8049 := [th-lemma]: #8048 -#8050 := [unit-resolution #8049 #8046]: #7976 -#6974 := (not #5864) -#8051 := [hypothesis]: #6974 -#8052 := [th-lemma #8051 #8050 #8045]: false -#8053 := [lemma #8052]: #5864 -#6975 := (or #5872 #6974) -#6976 := [def-axiom]: #6975 -#8573 := [unit-resolution #6976 #8053]: #5872 -#5877 := (not #5872) -#5880 := (or #5857 #5877) -#6955 := (or #4461 #5857 #5877) -#5851 := (+ #1449 #5848) -#5852 := (+ #144 #5851) -#5853 := (<= #5852 0::int) -#5854 := (or #5853 #5850) -#5855 := (not #5854) -#5858 := (or #5857 #5855) -#6956 := (or #4461 #5858) -#6967 := (iff #6956 #6955) -#6962 := (or #4461 #5880) -#6965 := (iff #6962 #6955) -#6966 := [rewrite]: #6965 -#6963 := (iff #6956 #6962) -#5881 := (iff #5858 #5880) -#5878 := (iff #5855 #5877) -#5875 := (iff #5854 #5872) -#5869 := (or #5864 #5850) -#5873 := (iff #5869 #5872) -#5874 := [rewrite]: #5873 -#5870 := (iff #5854 #5869) -#5867 := (iff #5853 #5864) -#5861 := (<= #5848 0::int) -#5865 := (iff #5861 #5864) -#5866 := [rewrite]: #5865 -#5862 := (iff #5853 #5861) -#5859 := (= #5852 #5848) -#5860 := [rewrite]: #5859 -#5863 := [monotonicity #5860]: #5862 -#5868 := [trans #5863 #5866]: #5867 -#5871 := [monotonicity #5868]: #5870 -#5876 := [trans #5871 #5874]: #5875 -#5879 := [monotonicity #5876]: #5878 -#5882 := [monotonicity #5879]: #5881 -#6964 := [monotonicity #5882]: #6963 -#6968 := [trans #6964 #6966]: #6967 -#6961 := [quant-inst]: #6956 -#6969 := [mp #6961 #6968]: #6955 -#8575 := [unit-resolution #6969 #8574]: #5880 -#8570 := [unit-resolution #8575 #8573]: #5857 -#8642 := [symm #8570]: #8641 -#8631 := (= #2211 #5856) -#8632 := [monotonicity #8630]: #8631 -#8696 := [trans #8632 #8642]: #8695 -#8697 := [trans #8696 #8694]: #2825 -#8698 := [unit-resolution #8572 #8697]: false -#8699 := [lemma #8698]: #2831 -#4203 := (or #4595 #4589) -#4204 := [def-axiom]: #4203 -#9435 := [unit-resolution #4204 #7389]: #4589 -#4209 := (or #4595 #4464) -#4214 := [def-axiom]: #4209 -#7390 := [unit-resolution #4214 #7389]: #4464 -#6363 := (or #2817 #4469 #4461) -#6139 := (uf_1 uf_16 ?x45!8) -#6140 := (uf_10 #6139) -#6165 := (+ #2191 #6140) -#6166 := (+ #144 #6165) -#6192 := (>= #6166 0::int) -#6169 := (= #6166 0::int) -#6144 := (* -1::int #6140) -#6145 := (+ uf_9 #6144) -#6146 := (<= #6145 0::int) -#6226 := (not #6146) -#6158 := (+ #2815 #6140) -#6159 := (+ #144 #6158) -#6160 := (>= #6159 0::int) -#6203 := (or #6146 #6160) -#6208 := (not #6203) -#6197 := (= #2190 #2192) -#6342 := (not #6197) -#6341 := [hypothesis]: #2822 -#6345 := (or #6342 #2817) -#6346 := [th-lemma]: #6345 -#6347 := [unit-resolution #6346 #6341]: #6342 -#6348 := [hypothesis]: #4456 -#6214 := (or #4461 #6197 #6208) -#6147 := (+ #1449 #6144) -#6148 := (+ #2192 #6147) -#6149 := (<= #6148 0::int) -#6193 := (or #6149 #6146) -#6194 := (not #6193) -#6195 := (= #2192 #2190) -#6196 := (or #6195 #6194) -#6215 := (or #4461 #6196) -#6222 := (iff #6215 #6214) -#6211 := (or #6197 #6208) -#6217 := (or #4461 #6211) -#6220 := (iff #6217 #6214) -#6221 := [rewrite]: #6220 -#6218 := (iff #6215 #6217) -#6212 := (iff #6196 #6211) -#6209 := (iff #6194 #6208) -#6206 := (iff #6193 #6203) -#6200 := (or #6160 #6146) -#6204 := (iff #6200 #6203) -#6205 := [rewrite]: #6204 -#6201 := (iff #6193 #6200) -#6163 := (iff #6149 #6160) -#6151 := (+ #2192 #6144) -#6152 := (+ #1449 #6151) -#6155 := (<= #6152 0::int) -#6161 := (iff #6155 #6160) -#6162 := [rewrite]: #6161 -#6156 := (iff #6149 #6155) -#6153 := (= #6148 #6152) -#6154 := [rewrite]: #6153 -#6157 := [monotonicity #6154]: #6156 -#6164 := [trans #6157 #6162]: #6163 -#6202 := [monotonicity #6164]: #6201 -#6207 := [trans #6202 #6205]: #6206 -#6210 := [monotonicity #6207]: #6209 -#6198 := (iff #6195 #6197) -#6199 := [rewrite]: #6198 -#6213 := [monotonicity #6199 #6210]: #6212 -#6219 := [monotonicity #6213]: #6218 -#6223 := [trans #6219 #6221]: #6222 -#6216 := [quant-inst]: #6215 -#6224 := [mp #6216 #6223]: #6214 -#6349 := [unit-resolution #6224 #6348 #6347]: #6208 -#6227 := (or #6203 #6226) -#6228 := [def-axiom]: #6227 -#6350 := [unit-resolution #6228 #6349]: #6226 -#6229 := (not #6160) -#6230 := (or #6203 #6229) -#6231 := [def-axiom]: #6230 -#6351 := [unit-resolution #6231 #6349]: #6229 -#6175 := (or #6146 #6160 #6169) -#6352 := [hypothesis]: #4464 -#6180 := (or #4469 #6146 #6160 #6169) -#6141 := (+ #6140 #2191) -#6142 := (+ #144 #6141) -#6143 := (= #6142 0::int) -#6150 := (or #6149 #6146 #6143) -#6181 := (or #4469 #6150) -#6188 := (iff #6181 #6180) -#6183 := (or #4469 #6175) -#6186 := (iff #6183 #6180) -#6187 := [rewrite]: #6186 -#6184 := (iff #6181 #6183) -#6178 := (iff #6150 #6175) -#6172 := (or #6160 #6146 #6169) -#6176 := (iff #6172 #6175) -#6177 := [rewrite]: #6176 -#6173 := (iff #6150 #6172) -#6170 := (iff #6143 #6169) -#6167 := (= #6142 #6166) -#6168 := [rewrite]: #6167 -#6171 := [monotonicity #6168]: #6170 -#6174 := [monotonicity #6164 #6171]: #6173 -#6179 := [trans #6174 #6177]: #6178 -#6185 := [monotonicity #6179]: #6184 -#6189 := [trans #6185 #6187]: #6188 -#6182 := [quant-inst]: #6181 -#6190 := [mp #6182 #6189]: #6180 -#6353 := [unit-resolution #6190 #6352]: #6175 -#6354 := [unit-resolution #6353 #6351 #6350]: #6169 -#6355 := (not #6169) -#6356 := (or #6355 #6192) -#6357 := [th-lemma]: #6356 -#6358 := [unit-resolution #6357 #6354]: #6192 -#6225 := (>= #2816 0::int) -#6359 := (or #6225 #2817) -#6360 := [th-lemma]: #6359 -#6361 := [unit-resolution #6360 #6341]: #6225 -#6362 := [th-lemma #6361 #6351 #6358]: false -#6364 := [lemma #6362]: #6363 -#9436 := [unit-resolution #6364 #7390 #8574]: #2817 -#4123 := (or #4592 #2822 #4586) -#4124 := [def-axiom]: #4123 -#9437 := [unit-resolution #4124 #9436 #9435]: #4586 -#4215 := (or #4583 #4577) -#4216 := [def-axiom]: #4215 -#9438 := [unit-resolution #4216 #9437]: #4577 -#4111 := (or #4580 #2836 #4574) -#4070 := [def-axiom]: #4111 -#9439 := [unit-resolution #4070 #9438]: #4577 -#9422 := [unit-resolution #9439 #8699]: #4574 -#4068 := (or #4571 #4481) -#4069 := [def-axiom]: #4068 -#9423 := [unit-resolution #4069 #9422]: #4481 -#10877 := (or #4486 #9846 #15367) -#15363 := (= #15362 #2306) -#15366 := (or #15363 #9846) -#14529 := (or #4486 #15366) -#14658 := (iff #14529 #10877) -#14681 := (or #4486 #15373) -#14554 := (iff #14681 #10877) -#14690 := [rewrite]: #14554 -#12540 := (iff #14529 #14681) -#15376 := (iff #15366 #15373) -#15370 := (or #15367 #9846) -#15374 := (iff #15370 #15373) -#15375 := [rewrite]: #15374 -#15371 := (iff #15366 #15370) -#15368 := (iff #15363 #15367) -#15369 := [rewrite]: #15368 -#15372 := [monotonicity #15369]: #15371 -#15377 := [trans #15372 #15375]: #15376 -#14677 := [monotonicity #15377]: #12540 -#14520 := [trans #14677 #14690]: #14658 -#14692 := [quant-inst]: #14529 -#10887 := [mp #14692 #14520]: #10877 -#32978 := [unit-resolution #10887 #9423]: #15373 -#32979 := [unit-resolution #32978 #32950]: #9846 -#32981 := [mp #32979 #32971]: #30313 -#18779 := (= ?x52!15 #7128) -#32989 := (iff #18779 #32602) -#32770 := (iff #32602 #18779) -#25219 := (= #7128 ?x52!15) -#25223 := (iff #25219 #18779) -#29787 := [commutativity]: #25223 -#32974 := (iff #32602 #25219) -#32975 := [monotonicity #32984]: #32974 -#32986 := [trans #32975 #29787]: #32770 -#32991 := [symm #32986]: #32989 -#15413 := (uf_1 uf_16 ?x52!15) -#15414 := (uf_10 #15413) -#15439 := (+ #2307 #15414) -#15440 := (+ #144 #15439) -#15443 := (= #15440 0::int) -#15432 := (+ #15397 #15414) -#15433 := (+ #144 #15432) -#15434 := (>= #15433 0::int) -#15418 := (* -1::int #15414) -#15419 := (+ uf_9 #15418) -#15420 := (<= #15419 0::int) -#15473 := (or #15420 #15434) -#15478 := (not #15473) -#15481 := (or #15367 #15478) -#14730 := (or #4461 #15367 #15478) -#15421 := (+ #1449 #15418) -#15422 := (+ #15362 #15421) -#15423 := (<= #15422 0::int) -#15467 := (or #15423 #15420) -#15468 := (not #15467) -#15469 := (or #15363 #15468) -#14738 := (or #4461 #15469) -#14986 := (iff #14738 #14730) -#14556 := (or #4461 #15481) -#14896 := (iff #14556 #14730) -#15034 := [rewrite]: #14896 -#14832 := (iff #14738 #14556) -#15482 := (iff #15469 #15481) -#15479 := (iff #15468 #15478) -#15476 := (iff #15467 #15473) -#15470 := (or #15434 #15420) -#15474 := (iff #15470 #15473) -#15475 := [rewrite]: #15474 -#15471 := (iff #15467 #15470) -#15437 := (iff #15423 #15434) -#15425 := (+ #15362 #15418) -#15426 := (+ #1449 #15425) -#15429 := (<= #15426 0::int) -#15435 := (iff #15429 #15434) -#15436 := [rewrite]: #15435 -#15430 := (iff #15423 #15429) -#15427 := (= #15422 #15426) -#15428 := [rewrite]: #15427 -#15431 := [monotonicity #15428]: #15430 -#15438 := [trans #15431 #15436]: #15437 -#15472 := [monotonicity #15438]: #15471 -#15477 := [trans #15472 #15475]: #15476 -#15480 := [monotonicity #15477]: #15479 -#15483 := [monotonicity #15369 #15480]: #15482 -#15031 := [monotonicity #15483]: #14832 -#14985 := [trans #15031 #15034]: #14986 -#12501 := [quant-inst]: #14738 -#15678 := [mp #12501 #14985]: #14730 -#32969 := [unit-resolution #15678 #8574]: #15481 -#32952 := [unit-resolution #32969 #32950]: #15478 -#29629 := (or #15473 #15443) -#25301 := (not #15443) -#29623 := [hypothesis]: #25301 -#15187 := (not #15420) -#29624 := [hypothesis]: #15478 -#14833 := (or #15473 #15187) -#15233 := [def-axiom]: #14833 -#29625 := [unit-resolution #15233 #29624]: #15187 -#8899 := (not #15434) -#15050 := (or #15473 #8899) -#15028 := [def-axiom]: #15050 -#29626 := [unit-resolution #15028 #29624]: #8899 -#15449 := (or #15420 #15434 #15443) -#12503 := (or #4469 #15420 #15434 #15443) -#15415 := (+ #15414 #2307) -#15416 := (+ #144 #15415) -#15417 := (= #15416 0::int) -#15424 := (or #15423 #15420 #15417) -#12502 := (or #4469 #15424) -#14824 := (iff #12502 #12503) -#14693 := (or #4469 #15449) -#14698 := (iff #14693 #12503) -#14734 := [rewrite]: #14698 -#14675 := (iff #12502 #14693) -#15452 := (iff #15424 #15449) -#15446 := (or #15434 #15420 #15443) -#15450 := (iff #15446 #15449) -#15451 := [rewrite]: #15450 -#15447 := (iff #15424 #15446) -#15444 := (iff #15417 #15443) -#15441 := (= #15416 #15440) -#15442 := [rewrite]: #15441 -#15445 := [monotonicity #15442]: #15444 -#15448 := [monotonicity #15438 #15445]: #15447 -#15453 := [trans #15448 #15451]: #15452 -#14648 := [monotonicity #15453]: #14675 -#14687 := [trans #14648 #14734]: #14824 -#14736 := [quant-inst]: #12502 -#13488 := [mp #14736 #14687]: #12503 -#29627 := [unit-resolution #13488 #7390]: #15449 -#29628 := [unit-resolution #29627 #29626 #29625 #29623]: false -#29630 := [lemma #29628]: #29629 -#32972 := [unit-resolution #29630 #32952]: #15443 -#29799 := (or #25301 #18779) -#7126 := (uf_3 #6008) -#15598 := (uf_1 #7126 ?x52!15) -#27533 := (uf_3 #15598) -#28710 := (uf_1 #7128 #27533) -#28711 := (uf_10 #28710) -#28714 := (* -1::int #28711) -#28814 := (+ #15414 #28714) -#28506 := (>= #28814 0::int) -#28505 := (= #15414 #28711) -#29767 := (= #28711 #15414) -#29765 := (= #28710 #15413) -#29763 := (= #27533 ?x52!15) -#27534 := (= ?x52!15 #27533) -#27563 := (or #5378 #27534) -#27564 := [quant-inst]: #27563 -#29762 := [unit-resolution #27564 #4300]: #27534 -#29764 := [symm #29762]: #29763 -#29766 := [monotonicity #8036 #29764]: #29765 -#29768 := [monotonicity #29766]: #29767 -#29769 := [symm #29768]: #28505 -#29770 := (not #28505) -#29771 := (or #29770 #28506) -#29772 := [th-lemma]: #29771 -#29773 := [unit-resolution #29772 #29769]: #28506 -#5902 := (* -1::int #5856) -#6232 := (+ #144 #5902) -#6233 := (>= #6232 0::int) -#4218 := (or #4583 #4472) -#4120 := [def-axiom]: #4218 -#14110 := [unit-resolution #4120 #9437]: #4472 -#6959 := (or #4477 #6233) -#6960 := [quant-inst]: #6959 -#12934 := [unit-resolution #6960 #14110]: #6233 -#7167 := (uf_18 #7128) -#8141 := (* -1::int #7167) -#10187 := (+ #5856 #8141) -#7462 := (>= #10187 0::int) -#10181 := (= #5856 #7167) -#14102 := (= #7167 #5856) -#14103 := [monotonicity #8036]: #14102 -#14104 := [symm #14103]: #10181 -#14105 := (not #10181) -#25236 := (or #14105 #7462) -#25243 := [th-lemma]: #25236 -#25235 := [unit-resolution #25243 #14104]: #7462 -#14406 := (<= #15440 0::int) -#25300 := [hypothesis]: #15443 -#25302 := (or #25301 #14406) -#25303 := [th-lemma]: #25302 -#25304 := [unit-resolution #25303 #25300]: #14406 -#15344 := (+ #2306 #8141) -#15518 := (<= #15344 0::int) -#7164 := (uf_6 uf_17 #7128) -#7165 := (= uf_8 #7164) -#25365 := (= #5319 #7164) -#25361 := (= #7164 #5319) -#25364 := [monotonicity #8578 #8036]: #25361 -#25366 := [symm #25364]: #25365 -#25367 := [trans #8579 #25366]: #7165 -#15503 := (uf_1 #7128 ?x52!15) -#15504 := (uf_10 #15503) -#15530 := (* -1::int #15504) -#15531 := (+ #8141 #15530) -#15532 := (+ #2306 #15531) -#15533 := (= #15532 0::int) -#25324 := (or #25301 #15533) -#15538 := (not #15533) -#25256 := [hypothesis]: #15538 -#14445 := (>= #15532 0::int) -#14444 := (+ #15414 #15530) -#14494 := (>= #14444 0::int) -#14488 := (= #15414 #15504) -#25275 := (= #15504 #15414) -#25257 := (= #15503 #15413) -#25274 := [monotonicity #8036]: #25257 -#25270 := [monotonicity #25274]: #25275 -#25276 := [symm #25270]: #14488 -#25277 := (not #14488) -#25278 := (or #25277 #14494) -#25279 := [th-lemma]: #25278 -#25280 := [unit-resolution #25279 #25276]: #14494 -#25306 := (not #14406) -#25305 := (not #14494) -#13409 := (not #6233) -#25299 := (not #7462) -#25307 := (or #14445 #25299 #13409 #25305 #25306) -#25308 := [th-lemma]: #25307 -#25309 := [unit-resolution #25308 #25304 #25235 #12934 #25280]: #14445 -#14391 := (<= #15532 0::int) -#14441 := (<= #14444 0::int) -#25316 := (or #25277 #14441) -#25317 := [th-lemma]: #25316 -#25315 := [unit-resolution #25317 #25276]: #14441 -#6970 := (<= #6232 0::int) -#14098 := (not #5857) -#14099 := (or #14098 #6970) -#14100 := [th-lemma]: #14099 -#14101 := [unit-resolution #14100 #8570]: #6970 -#10188 := (<= #10187 0::int) -#14106 := (or #14105 #10188) -#14107 := [th-lemma]: #14106 -#14108 := [unit-resolution #14107 #14104]: #10188 -#14435 := (>= #15440 0::int) -#25318 := (or #25301 #14435) -#25319 := [th-lemma]: #25318 -#25320 := [unit-resolution #25319 #25300]: #14435 -#25333 := (not #14435) -#25332 := (not #14441) -#12642 := (not #6970) -#25331 := (not #10188) -#25334 := (or #14391 #25331 #12642 #25332 #25333) -#25335 := [th-lemma]: #25334 -#25336 := [unit-resolution #25335 #25320 #14108 #14101 #25315]: #14391 -#25314 := (not #14445) -#25337 := (not #14391) -#25321 := (or #15533 #25337 #25314) -#25322 := [th-lemma]: #25321 -#25323 := [unit-resolution #25322 #25336 #25309 #25256]: false -#25313 := [lemma #25323]: #25324 -#29774 := [unit-resolution #25313 #25300]: #15533 -#7166 := (not #7165) -#15541 := (or #7166 #15518 #15538) -#6002 := (+ #108 #1449) -#7864 := (<= #6002 0::int) -#23377 := (= #108 #144) -#12197 := (= #144 #108) -#5945 := (= uf_16 uf_11) -#5947 := (= uf_11 uf_16) -#5928 := (?x40!7 uf_16) -#5932 := (uf_4 uf_14 #5928) -#5933 := (* -1::int #5932) -#5929 := (uf_1 #5928 uf_16) -#5930 := (uf_10 #5929) -#5931 := (* -1::int #5930) -#5950 := (+ #5931 #5933) -#5951 := (+ #144 #5950) -#5954 := (= #5951 0::int) -#5957 := (not #5954) -#5940 := (uf_6 uf_15 #5928) -#5941 := (= uf_8 #5940) -#5942 := (not #5941) -#5938 := (+ #144 #5933) -#5939 := (<= #5938 0::int) -#5963 := (or #5939 #5942 #5957) -#6003 := (>= #6002 0::int) -#9539 := (not #7864) -#23470 := [hypothesis]: #9539 -#23505 := (or #7864 #6003) -#23465 := [th-lemma]: #23505 -#23464 := [unit-resolution #23465 #23470]: #6003 -#9672 := (not #6003) -#18009 := (or #9672 #5939) -#7466 := (>= #5932 0::int) -#8252 := (not #7466) -#8253 := [hypothesis]: #8252 -#8212 := (or #4409 #7466) -#8206 := [quant-inst]: #8212 -#8263 := [unit-resolution #8206 #7305 #8253]: false -#8264 := [lemma #8263]: #7466 -#17999 := (or #9672 #8252 #5939) -#4050 := (<= #108 0::int) -#7308 := (or #1854 #4050) -#7309 := [th-lemma]: #7308 -#7310 := [unit-resolution #7309 #7307]: #4050 -#5512 := (not #4050) -#17980 := (or #9672 #5512 #8252 #5939) -#17982 := [th-lemma]: #17980 -#17995 := [unit-resolution #17982 #7310]: #17999 -#18007 := [unit-resolution #17995 #8264]: #18009 -#23469 := [unit-resolution #18007 #23464]: #5939 -#7005 := (not #5939) -#7006 := (or #5963 #7005) -#7007 := [def-axiom]: #7006 -#23506 := [unit-resolution #7007 #23469]: #5963 -#5968 := (not #5963) -#18000 := (or #5947 #5968) -#4208 := (or #4595 #1657) -#4210 := [def-axiom]: #4208 -#16348 := [unit-resolution #4210 #7389]: #1657 -#6992 := (or #4442 #1656 #5947 #5968) -#5934 := (+ #5933 #5931) -#5935 := (+ #144 #5934) -#5936 := (= #5935 0::int) -#5937 := (not #5936) -#5943 := (or #5942 #5939 #5937) -#5944 := (not #5943) -#5946 := (or #5945 #1656 #5944) -#6993 := (or #4442 #5946) -#7000 := (iff #6993 #6992) -#5974 := (or #1656 #5947 #5968) -#6995 := (or #4442 #5974) -#6998 := (iff #6995 #6992) -#6999 := [rewrite]: #6998 -#6996 := (iff #6993 #6995) -#5977 := (iff #5946 #5974) -#5971 := (or #5947 #1656 #5968) -#5975 := (iff #5971 #5974) -#5976 := [rewrite]: #5975 -#5972 := (iff #5946 #5971) -#5969 := (iff #5944 #5968) -#5966 := (iff #5943 #5963) -#5960 := (or #5942 #5939 #5957) -#5964 := (iff #5960 #5963) -#5965 := [rewrite]: #5964 -#5961 := (iff #5943 #5960) -#5958 := (iff #5937 #5957) -#5955 := (iff #5936 #5954) -#5952 := (= #5935 #5951) -#5953 := [rewrite]: #5952 -#5956 := [monotonicity #5953]: #5955 -#5959 := [monotonicity #5956]: #5958 -#5962 := [monotonicity #5959]: #5961 -#5967 := [trans #5962 #5965]: #5966 -#5970 := [monotonicity #5967]: #5969 -#5948 := (iff #5945 #5947) -#5949 := [rewrite]: #5948 -#5973 := [monotonicity #5949 #5970]: #5972 -#5978 := [trans #5973 #5976]: #5977 -#6997 := [monotonicity #5978]: #6996 -#7001 := [trans #6997 #6999]: #7000 -#6994 := [quant-inst]: #6993 -#7002 := [mp #6994 #7001]: #6992 -#18030 := [unit-resolution #7002 #8030 #16348]: #18000 -#23510 := [unit-resolution #18030 #23506]: #5947 -#12009 := [symm #23510]: #5945 -#12163 := [monotonicity #12009]: #12197 -#12023 := [symm #12163]: #23377 -#12215 := (not #23377) -#12216 := (or #12215 #7864) -#11464 := [th-lemma]: #12216 -#12217 := [unit-resolution #11464 #23470 #12023]: false -#12311 := [lemma #12217]: #7864 -#9540 := (or #2234 #9539) -#6554 := (uf_1 uf_16 ?x47!10) -#6555 := (uf_10 #6554) -#6435 := (* -1::int #2233) -#6597 := (+ #6435 #6555) -#6598 := (+ #144 #6597) -#8322 := (<= #6598 0::int) -#6601 := (= #6598 0::int) -#6538 := (* -1::int #6555) -#6539 := (+ uf_9 #6538) -#6540 := (<= #6539 0::int) -#8336 := (not #6540) -#6327 := (uf_4 uf_14 ?x47!10) -#6471 := (* -1::int #6327) -#6590 := (+ #6471 #6555) -#6591 := (+ #144 #6590) -#6592 := (>= #6591 0::int) -#6650 := (or #6540 #6592) -#6660 := (not #6650) -#6344 := (= #2233 #6327) -#9327 := (not #6344) -#6472 := (+ #2233 #6471) -#8301 := (>= #6472 0::int) -#9317 := (not #8301) -#9321 := [hypothesis]: #2235 -#6814 := (>= #6327 0::int) -#7656 := (or #4409 #6814) -#7657 := [quant-inst]: #7656 -#9322 := [unit-resolution #7657 #7305]: #6814 -#9323 := (not #6814) -#9324 := (or #9317 #2234 #9323) -#9325 := [th-lemma]: #9324 -#9326 := [unit-resolution #9325 #9322 #9321]: #9317 -#9347 := (or #9327 #8301) -#9348 := [th-lemma]: #9347 -#9349 := [unit-resolution #9348 #9326]: #9327 -#6662 := (or #6344 #6660) -#8339 := (or #4461 #6344 #6660) -#6541 := (+ #1449 #6538) -#6536 := (+ #6327 #6541) -#6542 := (<= #6536 0::int) -#6641 := (or #6542 #6540) -#6642 := (not #6641) -#6328 := (= #6327 #2233) -#6643 := (or #6328 #6642) -#8314 := (or #4461 #6643) -#8333 := (iff #8314 #8339) -#8281 := (or #4461 #6662) -#8343 := (iff #8281 #8339) -#8332 := [rewrite]: #8343 -#8341 := (iff #8314 #8281) -#6663 := (iff #6643 #6662) -#6661 := (iff #6642 #6660) -#6655 := (iff #6641 #6650) -#6649 := (or #6592 #6540) -#6653 := (iff #6649 #6650) -#6654 := [rewrite]: #6653 -#6651 := (iff #6641 #6649) -#6595 := (iff #6542 #6592) -#6544 := (+ #6327 #6538) -#6545 := (+ #1449 #6544) -#6562 := (<= #6545 0::int) -#6593 := (iff #6562 #6592) -#6594 := [rewrite]: #6593 -#6587 := (iff #6542 #6562) -#6546 := (= #6536 #6545) -#6561 := [rewrite]: #6546 -#6589 := [monotonicity #6561]: #6587 -#6596 := [trans #6589 #6594]: #6595 -#6652 := [monotonicity #6596]: #6651 -#6658 := [trans #6652 #6654]: #6655 -#6659 := [monotonicity #6658]: #6661 -#6383 := (iff #6328 #6344) -#6384 := [rewrite]: #6383 -#6664 := [monotonicity #6384 #6659]: #6663 -#8342 := [monotonicity #6664]: #8341 -#8334 := [trans #8342 #8332]: #8333 -#8340 := [quant-inst]: #8314 -#8335 := [mp #8340 #8334]: #8339 -#9350 := [unit-resolution #8335 #8574]: #6662 -#9351 := [unit-resolution #9350 #9349]: #6660 -#8327 := (or #6650 #8336) -#8352 := [def-axiom]: #8327 -#9346 := [unit-resolution #8352 #9351]: #8336 -#8360 := (not #6592) -#8348 := (or #6650 #8360) -#8353 := [def-axiom]: #8348 -#9352 := [unit-resolution #8353 #9351]: #8360 -#6607 := (or #6540 #6592 #6601) -#8318 := (or #4469 #6540 #6592 #6601) -#6556 := (+ #6555 #6435) -#6557 := (+ #144 #6556) -#6537 := (= #6557 0::int) -#6543 := (or #6542 #6540 #6537) -#8344 := (or #4469 #6543) -#8331 := (iff #8344 #8318) -#8349 := (or #4469 #6607) -#8330 := (iff #8349 #8318) -#8325 := [rewrite]: #8330 -#8328 := (iff #8344 #8349) -#6578 := (iff #6543 #6607) -#6604 := (or #6592 #6540 #6601) -#6579 := (iff #6604 #6607) -#6580 := [rewrite]: #6579 -#6605 := (iff #6543 #6604) -#6602 := (iff #6537 #6601) -#6599 := (= #6557 #6598) -#6600 := [rewrite]: #6599 -#6603 := [monotonicity #6600]: #6602 -#6606 := [monotonicity #6596 #6603]: #6605 -#6581 := [trans #6606 #6580]: #6578 -#8329 := [monotonicity #6581]: #8328 -#8320 := [trans #8329 #8325]: #8331 -#8345 := [quant-inst]: #8344 -#8321 := [mp #8345 #8320]: #8318 -#9353 := [unit-resolution #8321 #7390]: #6607 -#9354 := [unit-resolution #9353 #9352 #9346]: #6601 -#9355 := (not #6601) -#9356 := (or #9355 #8322) -#9367 := [th-lemma]: #9356 -#9368 := [unit-resolution #9367 #9354]: #8322 -#9369 := [hypothesis]: #7864 -#4041 := (>= #108 0::int) -#9370 := (or #1854 #4041) -#9371 := [th-lemma]: #9370 -#9366 := [unit-resolution #9371 #7307]: #4041 -#8900 := (uf_1 #7128 ?x47!10) -#8901 := (uf_10 #8900) -#8908 := (* -1::int #8901) -#9307 := (+ #6555 #8908) -#9320 := (>= #9307 0::int) -#9304 := (= #6555 #8901) -#9374 := (= #8901 #6555) -#9372 := (= #8900 #6554) -#9373 := [monotonicity #8036]: #9372 -#9375 := [monotonicity #9373]: #9374 -#9376 := [symm #9375]: #9304 -#9382 := (not #9304) -#9383 := (or #9382 #9320) -#9432 := [th-lemma]: #9383 -#9433 := [unit-resolution #9432 #9376]: #9320 -#9287 := (>= #8901 0::int) -#9080 := (<= #8901 0::int) -#9207 := (not #9080) -#8373 := (= ?x47!10 #7128) -#8730 := (not #8373) -#6710 := (uf_6 uf_15 ?x47!10) -#6711 := (= uf_8 #6710) -#8599 := (ite #8373 #5314 #6711) -#8729 := (not #8599) -#7658 := (uf_6 #7203 ?x47!10) -#8338 := (= uf_8 #7658) -#8700 := (iff #8338 #8599) -#8684 := (or #7026 #8700) -#7640 := (ite #8373 #6089 #6711) -#7653 := (= #7658 uf_8) -#8337 := (iff #7653 #7640) -#8723 := (or #7026 #8337) -#8725 := (iff #8723 #8684) -#8726 := (iff #8684 #8684) -#8722 := [rewrite]: #8726 -#8682 := (iff #8337 #8700) -#8326 := (iff #7640 #8599) -#8600 := [monotonicity #6102]: #8326 -#8410 := (iff #7653 #8338) -#8521 := [rewrite]: #8410 -#8683 := [monotonicity #8521 #8600]: #8682 -#8720 := [monotonicity #8683]: #8725 -#8727 := [trans #8720 #8722]: #8725 -#8724 := [quant-inst]: #8723 -#8728 := [mp #8724 #8727]: #8684 -#9434 := [unit-resolution #8728 #4320]: #8700 -#8895 := (not #8338) -#6323 := (uf_6 uf_17 ?x47!10) -#6325 := (= uf_8 #6323) -#6326 := (not #6325) -#9431 := (iff #6326 #8895) -#9429 := (iff #6325 #8338) -#9427 := (iff #8338 #6325) -#9426 := (= #7658 #6323) -#9421 := [monotonicity #8591]: #9426 -#9428 := [monotonicity #9421]: #9427 -#9430 := [symm #9428]: #9429 -#9460 := [monotonicity #9430]: #9431 -#6382 := (or #6326 #6344) -#8268 := (or #4486 #6326 #6344) -#6343 := (or #6328 #6326) -#8269 := (or #4486 #6343) -#8297 := (iff #8269 #8268) -#8294 := (or #4486 #6382) -#8296 := (iff #8294 #8268) -#8283 := [rewrite]: #8296 -#8284 := (iff #8269 #8294) -#6390 := (iff #6343 #6382) -#6385 := (or #6344 #6326) -#6388 := (iff #6385 #6382) -#6389 := [rewrite]: #6388 -#6386 := (iff #6343 #6385) -#6387 := [monotonicity #6384]: #6386 -#6391 := [trans #6387 #6389]: #6390 -#8295 := [monotonicity #6391]: #8284 -#8298 := [trans #8295 #8283]: #8297 -#8293 := [quant-inst]: #8269 -#8299 := [mp #8293 #8298]: #8268 -#9424 := [unit-resolution #8299 #9423]: #6382 -#9425 := [unit-resolution #9424 #9349]: #6326 -#9461 := [mp #9425 #9460]: #8895 -#8917 := (not #8700) -#8920 := (or #8917 #8338 #8729) -#8894 := [def-axiom]: #8920 -#9462 := [unit-resolution #8894 #9461 #9434]: #8729 -#9463 := (or #8599 #8730) -#7040 := (not #5314) -#8907 := (or #8599 #8730 #7040) -#8910 := [def-axiom]: #8907 -#9464 := [unit-resolution #8910 #8579]: #9463 -#9459 := [unit-resolution #9464 #9462]: #8730 -#9206 := (or #8373 #9207) -#9214 := (or #7093 #8373 #9207) -#9208 := (= #7128 ?x47!10) -#9209 := (or #9208 #9207) -#9215 := (or #7093 #9209) -#9241 := (iff #9215 #9214) -#9242 := (or #7093 #9206) -#9245 := (iff #9242 #9214) -#9246 := [rewrite]: #9245 -#9243 := (iff #9215 #9242) -#9212 := (iff #9209 #9206) -#9210 := (iff #9208 #8373) -#9211 := [rewrite]: #9210 -#9213 := [monotonicity #9211]: #9212 -#9244 := [monotonicity #9213]: #9243 -#9247 := [trans #9244 #9246]: #9241 -#9216 := [quant-inst]: #9215 -#9248 := [mp #9216 #9247]: #9214 -#9465 := [unit-resolution #9248 #4347]: #9206 -#9466 := [unit-resolution #9465 #9459]: #9207 -#9467 := (or #9287 #9080) -#9468 := [th-lemma]: #9467 -#9469 := [unit-resolution #9468 #9466]: #9287 -#9538 := [th-lemma #9321 #9469 #9433 #9366 #9369 #9368]: false -#9541 := [lemma #9538]: #9540 -#29775 := [unit-resolution #9541 #12311]: #2234 -#4222 := (or #4571 #4565) -#4223 := [def-axiom]: #4222 -#25326 := [unit-resolution #4223 #9422]: #4565 -#25357 := (or #4568 #4562) -#6056 := (= #108 #172) -#25354 := (iff #6056 #173) -#25353 := [commutativity]: #1490 -#25351 := (iff #6056 #645) -#25352 := [monotonicity #7307]: #25351 -#25355 := [trans #25352 #25353]: #25354 -#6015 := (uf_10 #6008) -#6019 := (* -1::int #6015) -#6022 := (+ #1449 #6019) -#6023 := (+ #108 #6022) -#6024 := (<= #6023 0::int) -#6020 := (+ uf_9 #6019) -#6021 := (<= #6020 0::int) -#6058 := (or #6021 #6024) -#7125 := (>= #6015 0::int) -#7105 := (= #6015 0::int) -#7087 := (<= #6015 0::int) -#4062 := (not #6024) -#7293 := [hypothesis]: #4062 -#7312 := (or #7087 #6024) -#7088 := (not #7087) -#7292 := [hypothesis]: #7088 -#6001 := (>= #144 0::int) -#7016 := (or #4409 #6001) -#7017 := [quant-inst]: #7016 -#7306 := [unit-resolution #7017 #7305]: #6001 -#7311 := [th-lemma #7310 #7306 #7293 #7292]: false -#7313 := [lemma #7311]: #7312 -#7186 := [unit-resolution #7313 #7293]: #7087 -#7090 := (or #5947 #7088) -#7094 := (or #7093 #5947 #7088) -#7089 := (or #5945 #7088) -#7095 := (or #7093 #7089) -#7102 := (iff #7095 #7094) -#7097 := (or #7093 #7090) -#7100 := (iff #7097 #7094) -#7101 := [rewrite]: #7100 -#7098 := (iff #7095 #7097) -#7091 := (iff #7089 #7090) -#7092 := [monotonicity #5949]: #7091 -#7099 := [monotonicity #7092]: #7098 -#7103 := [trans #7099 #7101]: #7102 -#7096 := [quant-inst]: #7095 -#7104 := [mp #7096 #7103]: #7094 -#7187 := [unit-resolution #7104 #4347]: #7090 -#7182 := [unit-resolution #7187 #7186]: #5947 -#7108 := (not #5947) -#7111 := (or #7108 #7105) -#7114 := (or #6863 #7108 #7105) -#7106 := (not #5945) -#7107 := (or #7106 #7105) -#7115 := (or #6863 #7107) -#7122 := (iff #7115 #7114) -#7117 := (or #6863 #7111) -#7120 := (iff #7117 #7114) -#7121 := [rewrite]: #7120 -#7118 := (iff #7115 #7117) -#7112 := (iff #7107 #7111) -#7109 := (iff #7106 #7108) -#7110 := [monotonicity #5949]: #7109 -#7113 := [monotonicity #7110]: #7112 -#7119 := [monotonicity #7113]: #7118 -#7123 := [trans #7119 #7121]: #7122 -#7116 := [quant-inst]: #7115 -#7124 := [mp #7116 #7123]: #7114 -#7188 := [unit-resolution #7124 #4341]: #7111 -#7189 := [unit-resolution #7188 #7182]: #7105 -#7190 := (not #7105) -#7191 := (or #7190 #7125) -#7192 := [th-lemma]: #7191 -#7196 := [unit-resolution #7192 #7189]: #7125 -#7197 := [th-lemma #7310 #7306 #7293 #7196]: false -#7195 := [lemma #7197]: #6024 -#5757 := (or #6058 #4062) -#5573 := [def-axiom]: #5757 -#25327 := [unit-resolution #5573 #7195]: #6058 -#6061 := (not #6058) -#6064 := (or #6056 #6061) -#6681 := (or #4461 #6056 #6061) -#6054 := (or #6024 #6021) -#6055 := (not #6054) -#6057 := (or #6056 #6055) -#6682 := (or #4461 #6057) -#6844 := (iff #6682 #6681) -#6138 := (or #4461 #6064) -#6392 := (iff #6138 #6681) -#6683 := [rewrite]: #6392 -#6118 := (iff #6682 #6138) -#6065 := (iff #6057 #6064) -#6062 := (iff #6055 #6061) -#6059 := (iff #6054 #6058) -#6060 := [rewrite]: #6059 -#6063 := [monotonicity #6060]: #6062 -#6066 := [monotonicity #6063]: #6065 -#6735 := [monotonicity #6066]: #6118 -#6845 := [trans #6735 #6683]: #6844 -#6137 := [quant-inst]: #6682 -#6878 := [mp #6137 #6845]: #6681 -#25328 := [unit-resolution #6878 #8574]: #6064 -#25329 := [unit-resolution #25328 #25327]: #6056 -#25356 := [mp #25329 #25355]: #173 -#4237 := (or #4568 #1492 #4562) -#4066 := [def-axiom]: #4237 -#25358 := [unit-resolution #4066 #25356]: #25357 -#25359 := [unit-resolution #25358 #25326]: #4562 -#4232 := (or #4559 #4553) -#4233 := [def-axiom]: #4232 -#25339 := [unit-resolution #4233 #25359]: #4553 -#4087 := (or #4556 #2235 #4550) -#4088 := [def-axiom]: #4087 -#25340 := [unit-resolution #4088 #25339]: #4553 -#29776 := [unit-resolution #25340 #29775]: #4550 -#4242 := (or #4547 #4541) -#4243 := [def-axiom]: #4242 -#29777 := [unit-resolution #4243 #29776]: #4541 -#25343 := (or #4544 #4538) -#12812 := (= #2249 #5856) -#12998 := (= ?x48!12 uf_16) -#10849 := (= ?x48!12 #7128) -#10847 := (uf_6 uf_15 ?x48!12) -#10848 := (= uf_8 #10847) -#10857 := (ite #10849 #5314 #10848) -#10851 := (uf_6 #7203 ?x48!12) -#10854 := (= uf_8 #10851) -#10860 := (iff #10854 #10857) -#12152 := (or #7026 #10860) -#10850 := (ite #10849 #6089 #10848) -#10852 := (= #10851 uf_8) -#10853 := (iff #10852 #10850) -#12155 := (or #7026 #10853) -#10823 := (iff #12155 #12152) -#10879 := (iff #12152 #12152) -#10880 := [rewrite]: #10879 -#10861 := (iff #10853 #10860) -#10858 := (iff #10850 #10857) -#10859 := [monotonicity #6102]: #10858 -#10855 := (iff #10852 #10854) -#10856 := [rewrite]: #10855 -#10862 := [monotonicity #10856 #10859]: #10861 -#10824 := [monotonicity #10862]: #10823 -#11111 := [trans #10824 #10880]: #10823 -#12156 := [quant-inst]: #12155 -#11091 := [mp #12156 #11111]: #12152 -#13286 := [unit-resolution #11091 #4320]: #10860 -#12615 := (= #2254 #10851) -#12608 := (= #10851 #2254) -#12613 := [monotonicity #8591]: #12608 -#12730 := [symm #12613]: #12615 -#12965 := [hypothesis]: #3403 -#3920 := (or #3398 #2255) -#4261 := [def-axiom]: #3920 -#12611 := [unit-resolution #4261 #12965]: #2255 -#13209 := [trans #12611 #12730]: #10854 -#11918 := (not #10854) -#10920 := (not #10860) -#11919 := (or #10920 #11918 #10857) -#12057 := [def-axiom]: #11919 -#13217 := [unit-resolution #12057 #13209 #13286]: #10857 -#10236 := (not #10848) -#11183 := (uf_4 uf_14 ?x48!12) -#11200 := (* -1::int #11183) -#13667 := (+ #7168 #11200) -#13668 := (>= #13667 0::int) -#13764 := (not #13668) -#12813 := (+ #2249 #5902) -#12814 := (<= #12813 0::int) -#13407 := (not #12814) -#11572 := (uf_4 uf_14 ?x49!11) -#11589 := (* -1::int #11572) -#11709 := (+ #144 #11589) -#11710 := (<= #11709 0::int) -#11467 := (uf_6 uf_15 ?x49!11) -#11468 := (= uf_8 #11467) -#12026 := (not #11468) -#11469 := (= ?x49!11 #7128) -#11477 := (ite #11469 #5314 #11468) -#12038 := (not #11477) -#11471 := (uf_6 #7203 ?x49!11) -#11474 := (= uf_8 #11471) -#11480 := (iff #11474 #11477) -#12030 := (or #7026 #11480) -#11470 := (ite #11469 #6089 #11468) -#11472 := (= #11471 uf_8) -#11473 := (iff #11472 #11470) -#12028 := (or #7026 #11473) -#12024 := (iff #12028 #12030) -#12033 := (iff #12030 #12030) -#12035 := [rewrite]: #12033 -#11481 := (iff #11473 #11480) -#11478 := (iff #11470 #11477) -#11479 := [monotonicity #6102]: #11478 -#11475 := (iff #11472 #11474) -#11476 := [rewrite]: #11475 -#11482 := [monotonicity #11476 #11479]: #11481 -#12032 := [monotonicity #11482]: #12024 -#12036 := [trans #12032 #12035]: #12024 -#12031 := [quant-inst]: #12028 -#12034 := [mp #12031 #12036]: #12030 -#13262 := [unit-resolution #12034 #4320]: #11480 -#12051 := (not #11474) -#13387 := (iff #2258 #12051) -#13353 := (iff #2257 #11474) -#12939 := (iff #11474 #2257) -#13219 := (= #11471 #2256) -#13243 := [monotonicity #8591]: #13219 -#13039 := [monotonicity #13243]: #12939 -#13377 := [symm #13039]: #13353 -#13388 := [monotonicity #13377]: #13387 -#3924 := (or #3398 #2258) -#3925 := [def-axiom]: #3924 -#12937 := [unit-resolution #3925 #12965]: #2258 -#12543 := [mp #12937 #13388]: #12051 -#12047 := (not #11480) -#12048 := (or #12047 #11474 #12038) -#12050 := [def-axiom]: #12048 -#12544 := [unit-resolution #12050 #12543 #13262]: #12038 -#12039 := (not #11469) -#12539 := (or #11477 #12039) -#12042 := (or #11477 #12039 #7040) -#12043 := [def-axiom]: #12042 -#12545 := [unit-resolution #12043 #8579]: #12539 -#12546 := [unit-resolution #12545 #12544]: #12039 -#12044 := (or #11477 #11469 #12026) -#12045 := [def-axiom]: #12044 -#12548 := [unit-resolution #12045 #12546 #12544]: #12026 -#11715 := (or #11468 #11710) -#4217 := (or #4595 #4446) -#4221 := [def-axiom]: #4217 -#12574 := [unit-resolution #4221 #7389]: #4446 -#12438 := (or #4451 #11468 #11710) -#11700 := (+ #11572 #1449) -#11701 := (>= #11700 0::int) -#11702 := (or #11468 #11701) -#12444 := (or #4451 #11702) -#12454 := (iff #12444 #12438) -#12448 := (or #4451 #11715) -#12452 := (iff #12448 #12438) -#12453 := [rewrite]: #12452 -#12450 := (iff #12444 #12448) -#11716 := (iff #11702 #11715) -#11713 := (iff #11701 #11710) -#11703 := (+ #1449 #11572) -#11706 := (>= #11703 0::int) -#11711 := (iff #11706 #11710) -#11712 := [rewrite]: #11711 -#11707 := (iff #11701 #11706) -#11704 := (= #11700 #11703) -#11705 := [rewrite]: #11704 -#11708 := [monotonicity #11705]: #11707 -#11714 := [trans #11708 #11712]: #11713 -#11717 := [monotonicity #11714]: #11716 -#12451 := [monotonicity #11717]: #12450 -#12449 := [trans #12451 #12453]: #12454 -#12447 := [quant-inst]: #12444 -#12455 := [mp #12447 #12449]: #12438 -#12575 := [unit-resolution #12455 #12574]: #11715 -#12576 := [unit-resolution #12575 #12548]: #11710 -#3926 := (not #2855) -#3927 := (or #3398 #3926) -#4263 := [def-axiom]: #3927 -#12577 := [unit-resolution #4263 #12965]: #3926 -#13397 := (not #11710) -#12612 := (or #13407 #2855 #11469 #13397) -#11605 := (uf_1 uf_16 ?x49!11) -#11606 := (uf_10 #11605) -#11631 := (+ #2853 #11606) -#11632 := (+ #144 #11631) -#12233 := (<= #11632 0::int) -#11635 := (= #11632 0::int) -#11610 := (* -1::int #11606) -#11611 := (+ uf_9 #11610) -#11612 := (<= #11611 0::int) -#12253 := (not #11612) -#11624 := (+ #11589 #11606) -#11625 := (+ #144 #11624) -#11626 := (>= #11625 0::int) -#11669 := (or #11612 #11626) -#11674 := (not #11669) -#11663 := (= #2251 #11572) -#13437 := (not #11663) -#11590 := (+ #2251 #11589) -#12252 := (>= #11590 0::int) -#13367 := (not #12252) -#13284 := [hypothesis]: #11710 -#13478 := [hypothesis]: #3926 -#13215 := [hypothesis]: #12814 -#13389 := (or #13367 #13397 #2855 #13407 #13409) -#13410 := [th-lemma]: #13389 -#13436 := [unit-resolution #13410 #13215 #13478 #13284 #12934]: #13367 -#13434 := (or #13437 #12252) -#12573 := [th-lemma]: #13434 -#13419 := [unit-resolution #12573 #13436]: #13437 -#11677 := (or #11663 #11674) -#12241 := (or #4461 #11663 #11674) -#11613 := (+ #1449 #11610) -#11614 := (+ #11572 #11613) -#11615 := (<= #11614 0::int) -#11659 := (or #11615 #11612) -#11660 := (not #11659) -#11661 := (= #11572 #2251) -#11662 := (or #11661 #11660) -#12242 := (or #4461 #11662) -#12249 := (iff #12242 #12241) -#12245 := (or #4461 #11677) -#12247 := (iff #12245 #12241) -#12248 := [rewrite]: #12247 -#12239 := (iff #12242 #12245) -#11678 := (iff #11662 #11677) -#11675 := (iff #11660 #11674) -#11672 := (iff #11659 #11669) -#11666 := (or #11626 #11612) -#11670 := (iff #11666 #11669) -#11671 := [rewrite]: #11670 -#11667 := (iff #11659 #11666) -#11629 := (iff #11615 #11626) -#11617 := (+ #11572 #11610) -#11618 := (+ #1449 #11617) -#11621 := (<= #11618 0::int) -#11627 := (iff #11621 #11626) -#11628 := [rewrite]: #11627 -#11622 := (iff #11615 #11621) -#11619 := (= #11614 #11618) -#11620 := [rewrite]: #11619 -#11623 := [monotonicity #11620]: #11622 -#11630 := [trans #11623 #11628]: #11629 -#11668 := [monotonicity #11630]: #11667 -#11673 := [trans #11668 #11671]: #11672 -#11676 := [monotonicity #11673]: #11675 -#11664 := (iff #11661 #11663) -#11665 := [rewrite]: #11664 -#11679 := [monotonicity #11665 #11676]: #11678 -#12246 := [monotonicity #11679]: #12239 -#12244 := [trans #12246 #12248]: #12249 -#12243 := [quant-inst]: #12242 -#12251 := [mp #12243 #12244]: #12241 -#13417 := [unit-resolution #12251 #8574]: #11677 -#13423 := [unit-resolution #13417 #13419]: #11674 -#12254 := (or #11669 #12253) -#12258 := [def-axiom]: #12254 -#13426 := [unit-resolution #12258 #13423]: #12253 -#12250 := (not #11626) -#12259 := (or #11669 #12250) -#12257 := [def-axiom]: #12259 -#13412 := [unit-resolution #12257 #13423]: #12250 -#11641 := (or #11612 #11626 #11635) -#12229 := (or #4469 #11612 #11626 #11635) -#11607 := (+ #11606 #2853) -#11608 := (+ #144 #11607) -#11609 := (= #11608 0::int) -#11616 := (or #11615 #11612 #11609) -#12222 := (or #4469 #11616) -#12236 := (iff #12222 #12229) -#12231 := (or #4469 #11641) -#12227 := (iff #12231 #12229) -#12235 := [rewrite]: #12227 -#12232 := (iff #12222 #12231) -#11644 := (iff #11616 #11641) -#11638 := (or #11626 #11612 #11635) -#11642 := (iff #11638 #11641) -#11643 := [rewrite]: #11642 -#11639 := (iff #11616 #11638) -#11636 := (iff #11609 #11635) -#11633 := (= #11608 #11632) -#11634 := [rewrite]: #11633 -#11637 := [monotonicity #11634]: #11636 -#11640 := [monotonicity #11630 #11637]: #11639 -#11645 := [trans #11640 #11643]: #11644 -#12234 := [monotonicity #11645]: #12232 -#12237 := [trans #12234 #12235]: #12236 -#12230 := [quant-inst]: #12222 -#12238 := [mp #12230 #12237]: #12229 -#13413 := [unit-resolution #12238 #7390]: #11641 -#13433 := [unit-resolution #13413 #13412 #13426]: #11635 -#13370 := (not #11635) -#13390 := (or #13370 #12233) -#13391 := [th-lemma]: #13390 -#13385 := [unit-resolution #13391 #13433]: #12233 -#12787 := (uf_1 #7128 ?x49!11) -#12788 := (uf_10 #12787) -#12790 := (* -1::int #12788) -#13285 := (+ #11606 #12790) -#13280 := (>= #13285 0::int) -#13216 := (= #11606 #12788) -#12644 := (= #12788 #11606) -#12645 := (= #12787 #11605) -#13418 := [monotonicity #8036]: #12645 -#12646 := [monotonicity #13418]: #12644 -#12578 := [symm #12646]: #13216 -#12641 := (not #13216) -#12647 := (or #12641 #13280) -#12643 := [th-lemma]: #12647 -#12582 := [unit-resolution #12643 #12578]: #13280 -#13068 := (<= #12788 0::int) -#13063 := (not #13068) -#12581 := [hypothesis]: #12039 -#13211 := (or #7093 #11469 #13063) -#12936 := (= #7128 ?x49!11) -#13162 := (or #12936 #13063) -#13263 := (or #7093 #13162) -#13354 := (iff #13263 #13211) -#13255 := (or #11469 #13063) -#13161 := (or #7093 #13255) -#13351 := (iff #13161 #13211) -#13352 := [rewrite]: #13351 -#13071 := (iff #13263 #13161) -#13069 := (iff #13162 #13255) -#13204 := (iff #12936 #11469) -#13265 := [rewrite]: #13204 -#13210 := [monotonicity #13265]: #13069 -#13163 := [monotonicity #13210]: #13071 -#13067 := [trans #13163 #13352]: #13354 -#13160 := [quant-inst]: #13263 -#13355 := [mp #13160 #13067]: #13211 -#12609 := [unit-resolution #13355 #4347 #12581]: #13063 -#12610 := [th-lemma #13478 #13215 #12934 #12609 #12582 #13385]: false -#12583 := [lemma #12610]: #12612 -#12780 := [unit-resolution #12583 #12577 #12546 #12576]: #13407 -#11201 := (+ #2249 #11200) -#11202 := (<= #11201 0::int) -#12087 := (or #4477 #11202) -#11190 := (+ #11183 #2250) -#11193 := (>= #11190 0::int) -#12088 := (or #4477 #11193) -#12090 := (iff #12088 #12087) -#12092 := (iff #12087 #12087) -#12093 := [rewrite]: #12092 -#11205 := (iff #11193 #11202) -#11194 := (+ #2250 #11183) -#11197 := (>= #11194 0::int) -#11203 := (iff #11197 #11202) -#11204 := [rewrite]: #11203 -#11198 := (iff #11193 #11197) -#11195 := (= #11190 #11194) -#11196 := [rewrite]: #11195 -#11199 := [monotonicity #11196]: #11198 -#11206 := [trans #11199 #11204]: #11205 -#12091 := [monotonicity #11206]: #12090 -#12095 := [trans #12091 #12093]: #12090 -#12085 := [quant-inst]: #12088 -#12097 := [mp #12085 #12095]: #12087 -#13218 := [unit-resolution #12097 #14110]: #11202 -#12617 := (not #11202) -#12729 := (not #7572) -#12728 := (or #13764 #12729 #12814 #12617 #12642) -#12733 := [th-lemma]: #12728 -#12616 := [unit-resolution #12733 #13218 #9185 #14101 #12780]: #13764 -#13844 := (or #10236 #13668) -#13842 := [hypothesis]: #13764 -#13843 := [hypothesis]: #10848 -#13801 := (or #4426 #7247 #10236 #13668) -#13669 := (or #10236 #7247 #13668) -#13802 := (or #4426 #13669) -#13788 := (iff #13802 #13801) -#13670 := (or #7247 #10236 #13668) -#13804 := (or #4426 #13670) -#13786 := (iff #13804 #13801) -#13787 := [rewrite]: #13786 -#13805 := (iff #13802 #13804) -#13665 := (iff #13669 #13670) -#13671 := [rewrite]: #13665 -#13806 := [monotonicity #13671]: #13805 -#13789 := [trans #13806 #13787]: #13788 -#13803 := [quant-inst]: #13802 -#13790 := [mp #13803 #13789]: #13801 -#13838 := [unit-resolution #13790 #9153 #9152 #13843 #13842]: false -#13845 := [lemma #13838]: #13844 -#12734 := [unit-resolution #13845 #12616]: #10236 -#11030 := (not #10857) -#11307 := (or #11030 #10849 #10848) -#11294 := [def-axiom]: #11307 -#12742 := [unit-resolution #11294 #12734 #13217]: #10849 -#12732 := [trans #12742 #8036]: #12998 -#12743 := [monotonicity #12732]: #12812 -#12969 := (not #12812) -#12967 := (or #12969 #12814) -#12973 := [th-lemma]: #12967 -#12786 := [unit-resolution #12973 #12780]: #12969 -#12771 := [unit-resolution #12786 #12743]: false -#12735 := [lemma #12771]: #3398 -#4251 := (or #4544 #3403 #4538) -#4248 := [def-axiom]: #4251 -#25338 := [unit-resolution #4248 #12735]: #25343 -#29778 := [unit-resolution #25338 #29777]: #4538 -#3968 := (or #4535 #4529) -#3969 := [def-axiom]: #3968 -#29779 := [unit-resolution #3969 #29778]: #4529 -#25346 := (or #4532 #4526) -#17148 := [hypothesis]: #3449 -#4266 := (or #3444 #2287) -#4267 := [def-axiom]: #4266 -#17149 := [unit-resolution #4267 #17148]: #2287 -#9931 := (uf_1 uf_16 ?x50!14) -#9932 := (uf_10 #9931) -#9936 := (* -1::int #9932) -#17081 := (+ #2281 #9936) -#17083 := (>= #17081 0::int) -#17080 := (= #2281 #9932) -#17180 := (= #2280 #9931) -#17179 := (= ?x51!13 uf_16) -#10336 := (= ?x51!13 #7128) -#10334 := (uf_6 uf_15 ?x51!13) -#10335 := (= uf_8 #10334) -#10367 := (not #10335) -#10193 := (uf_4 uf_14 ?x51!13) -#9874 := (uf_4 uf_14 ?x50!14) -#9915 := (* -1::int #9874) -#10384 := (+ #9915 #10193) -#10385 := (+ #2281 #10384) -#10388 := (>= #10385 0::int) -#17156 := (not #10388) -#9916 := (+ #2276 #9915) -#9917 := (<= #9916 0::int) -#16708 := (or #4477 #9917) -#9907 := (+ #9874 #2277) -#9908 := (>= #9907 0::int) -#16709 := (or #4477 #9908) -#16711 := (iff #16709 #16708) -#16713 := (iff #16708 #16708) -#16714 := [rewrite]: #16713 -#9920 := (iff #9908 #9917) -#9909 := (+ #2277 #9874) -#9912 := (>= #9909 0::int) -#9918 := (iff #9912 #9917) -#9919 := [rewrite]: #9918 -#9913 := (iff #9908 #9912) -#9910 := (= #9907 #9909) -#9911 := [rewrite]: #9910 -#9914 := [monotonicity #9911]: #9913 -#9921 := [trans #9914 #9919]: #9920 -#16712 := [monotonicity #9921]: #16711 -#16715 := [trans #16712 #16714]: #16711 -#16710 := [quant-inst]: #16709 -#16716 := [mp #16710 #16715]: #16708 -#17308 := [unit-resolution #16716 #14110]: #9917 -#3906 := (not #2882) -#4269 := (or #3444 #3906) -#4271 := [def-axiom]: #4269 -#17151 := [unit-resolution #4271 #17148]: #3906 -#10228 := (* -1::int #10193) -#10229 := (+ #2278 #10228) -#15878 := (>= #10229 0::int) -#10198 := (= #2278 #10193) -#4262 := (or #3444 #2289) -#4268 := [def-axiom]: #4262 -#17152 := [unit-resolution #4268 #17148]: #2289 -#16493 := (or #4486 #3429 #10198) -#10194 := (= #10193 #2278) -#10197 := (or #10194 #3429) -#16494 := (or #4486 #10197) -#16503 := (iff #16494 #16493) -#10204 := (or #3429 #10198) -#16498 := (or #4486 #10204) -#16501 := (iff #16498 #16493) -#16502 := [rewrite]: #16501 -#16499 := (iff #16494 #16498) -#10207 := (iff #10197 #10204) -#10201 := (or #10198 #3429) -#10205 := (iff #10201 #10204) -#10206 := [rewrite]: #10205 -#10202 := (iff #10197 #10201) -#10199 := (iff #10194 #10198) -#10200 := [rewrite]: #10199 -#10203 := [monotonicity #10200]: #10202 -#10208 := [trans #10203 #10206]: #10207 -#16500 := [monotonicity #10208]: #16499 -#16504 := [trans #16500 #16502]: #16503 -#16497 := [quant-inst]: #16494 -#16505 := [mp #16497 #16504]: #16493 -#17150 := [unit-resolution #16505 #9423 #17152]: #10198 -#17153 := (not #10198) -#17154 := (or #17153 #15878) -#17155 := [th-lemma]: #17154 -#17147 := [unit-resolution #17155 #17150]: #15878 -#17313 := (not #9917) -#17315 := (not #15878) -#17157 := (or #17156 #17315 #17313 #2882) -#17158 := [th-lemma]: #17157 -#17159 := [unit-resolution #17158 #17147 #17151 #17308]: #17156 -#17146 := (or #10367 #10388) -#16749 := (or #4417 #2286 #10367 #10388) -#10380 := (+ #10193 #9915) -#10381 := (+ #2281 #10380) -#10382 := (>= #10381 0::int) -#10383 := (or #10367 #2286 #10382) -#16750 := (or #4417 #10383) -#16757 := (iff #16750 #16749) -#10394 := (or #2286 #10367 #10388) -#16752 := (or #4417 #10394) -#16755 := (iff #16752 #16749) -#16756 := [rewrite]: #16755 -#16753 := (iff #16750 #16752) -#10397 := (iff #10383 #10394) -#10391 := (or #10367 #2286 #10388) -#10395 := (iff #10391 #10394) -#10396 := [rewrite]: #10395 -#10392 := (iff #10383 #10391) -#10389 := (iff #10382 #10388) -#10386 := (= #10381 #10385) -#10387 := [rewrite]: #10386 -#10390 := [monotonicity #10387]: #10389 -#10393 := [monotonicity #10390]: #10392 -#10398 := [trans #10393 #10396]: #10397 -#16754 := [monotonicity #10398]: #16753 -#16758 := [trans #16754 #16756]: #16757 -#16751 := [quant-inst]: #16750 -#16759 := [mp #16751 #16758]: #16749 -#17160 := [unit-resolution #16759 #8027 #17149]: #17146 -#17161 := [unit-resolution #17160 #17159]: #10367 -#10344 := (ite #10336 #5314 #10335) -#10338 := (uf_6 #7203 ?x51!13) -#10341 := (= uf_8 #10338) -#10347 := (iff #10341 #10344) -#16506 := (or #7026 #10347) -#10337 := (ite #10336 #6089 #10335) -#10339 := (= #10338 uf_8) -#10340 := (iff #10339 #10337) -#16507 := (or #7026 #10340) -#16509 := (iff #16507 #16506) -#16511 := (iff #16506 #16506) -#16512 := [rewrite]: #16511 -#10348 := (iff #10340 #10347) -#10345 := (iff #10337 #10344) -#10346 := [monotonicity #6102]: #10345 -#10342 := (iff #10339 #10341) -#10343 := [rewrite]: #10342 -#10349 := [monotonicity #10343 #10346]: #10348 -#16510 := [monotonicity #10349]: #16509 -#16513 := [trans #16510 #16512]: #16509 -#16508 := [quant-inst]: #16507 -#16514 := [mp #16508 #16513]: #16506 -#17162 := [unit-resolution #16514 #4320]: #10347 -#17171 := (= #2288 #10338) -#17163 := (= #10338 #2288) -#17164 := [monotonicity #8591]: #17163 -#17174 := [symm #17164]: #17171 -#17175 := [trans #17152 #17174]: #10341 -#16528 := (not #10341) -#16525 := (not #10347) -#16529 := (or #16525 #16528 #10344) -#16530 := [def-axiom]: #16529 -#17176 := [unit-resolution #16530 #17175 #17162]: #10344 -#16515 := (not #10344) -#16519 := (or #16515 #10336 #10335) -#16520 := [def-axiom]: #16519 -#17178 := [unit-resolution #16520 #17176 #17161]: #10336 -#17177 := [trans #17178 #8036]: #17179 -#17181 := [monotonicity #17177]: #17180 -#17182 := [monotonicity #17181]: #17080 -#17187 := (not #17080) -#17188 := (or #17187 #17083) -#17186 := [th-lemma]: #17188 -#17189 := [unit-resolution #17186 #17182]: #17083 -#9937 := (+ uf_9 #9936) -#9938 := (<= #9937 0::int) -#9950 := (+ #9915 #9932) -#9951 := (+ #144 #9950) -#9952 := (>= #9951 0::int) -#16744 := (not #9952) -#10475 := (uf_2 #2280) -#11002 := (uf_4 uf_14 #10475) -#11016 := (* -1::int #11002) -#16798 := (+ #10193 #11016) -#16800 := (>= #16798 0::int) -#16797 := (= #10193 #11002) -#10476 := (= ?x51!13 #10475) -#16793 := (or #7136 #10476) -#16794 := [quant-inst]: #16793 -#17292 := [unit-resolution #16794 #4306]: #10476 -#17295 := [monotonicity #17292]: #16797 -#17296 := (not #16797) -#17297 := (or #17296 #16800) -#17298 := [th-lemma]: #17297 -#17299 := [unit-resolution #17298 #17295]: #16800 -#11017 := (+ #144 #11016) -#11018 := (<= #11017 0::int) -#17065 := (= #144 #11002) -#17202 := (= #11002 #144) -#17194 := (= #10475 uf_16) -#17192 := (= #10475 #7128) -#17190 := (= #10475 ?x51!13) -#17191 := [symm #17292]: #17190 -#17193 := [trans #17191 #17178]: #17192 -#17195 := [trans #17193 #8036]: #17194 -#17203 := [monotonicity #17195]: #17202 -#17204 := [symm #17203]: #17065 -#17205 := (not #17065) -#17206 := (or #17205 #11018) -#17201 := [th-lemma]: #17206 -#17207 := [unit-resolution #17201 #17204]: #11018 -#17316 := (not #11018) -#17314 := (not #16800) -#17208 := (not #17083) -#17209 := (or #16744 #17208 #17313 #2882 #17314 #17315 #17316) -#17210 := [th-lemma]: #17209 -#17211 := [unit-resolution #17210 #17207 #17308 #17147 #17151 #17299 #17189]: #16744 -#9957 := (+ #2277 #9932) -#9958 := (+ #144 #9957) -#9961 := (= #9958 0::int) -#17223 := (not #9961) -#16729 := (>= #9958 0::int) -#17219 := (not #16729) -#17220 := (or #17219 #17208 #2882 #17314 #17315 #17316) -#17221 := [th-lemma]: #17220 -#17222 := [unit-resolution #17221 #17207 #17147 #17151 #17299 #17189]: #17219 -#17218 := (or #17223 #16729) -#17224 := [th-lemma]: #17218 -#17225 := [unit-resolution #17224 #17222]: #17223 -#9967 := (or #9938 #9952 #9961) -#16717 := (or #4469 #9938 #9952 #9961) -#9933 := (+ #9932 #2277) -#9934 := (+ #144 #9933) -#9935 := (= #9934 0::int) -#9939 := (+ #1449 #9936) -#9940 := (+ #9874 #9939) -#9941 := (<= #9940 0::int) -#9942 := (or #9941 #9938 #9935) -#16718 := (or #4469 #9942) -#16725 := (iff #16718 #16717) -#16720 := (or #4469 #9967) -#16723 := (iff #16720 #16717) -#16724 := [rewrite]: #16723 -#16721 := (iff #16718 #16720) -#9970 := (iff #9942 #9967) -#9964 := (or #9952 #9938 #9961) -#9968 := (iff #9964 #9967) -#9969 := [rewrite]: #9968 -#9965 := (iff #9942 #9964) -#9962 := (iff #9935 #9961) -#9959 := (= #9934 #9958) -#9960 := [rewrite]: #9959 -#9963 := [monotonicity #9960]: #9962 -#9955 := (iff #9941 #9952) -#9943 := (+ #9874 #9936) -#9944 := (+ #1449 #9943) -#9947 := (<= #9944 0::int) -#9953 := (iff #9947 #9952) -#9954 := [rewrite]: #9953 -#9948 := (iff #9941 #9947) -#9945 := (= #9940 #9944) -#9946 := [rewrite]: #9945 -#9949 := [monotonicity #9946]: #9948 -#9956 := [trans #9949 #9954]: #9955 -#9966 := [monotonicity #9956 #9963]: #9965 -#9971 := [trans #9966 #9969]: #9970 -#16722 := [monotonicity #9971]: #16721 -#16726 := [trans #16722 #16724]: #16725 -#16719 := [quant-inst]: #16718 -#16727 := [mp #16719 #16726]: #16717 -#17226 := [unit-resolution #16727 #7390]: #9967 -#17227 := [unit-resolution #17226 #17225 #17211]: #9938 -#17228 := [th-lemma #17227 #17189 #17149]: false -#17253 := [lemma #17228]: #3444 -#4253 := (or #4532 #3449 #4526) -#4257 := [def-axiom]: #4253 -#25347 := [unit-resolution #4257 #17253]: #25346 -#29780 := [unit-resolution #25347 #29779]: #4526 -#3983 := (or #4523 #4515) -#3984 := [def-axiom]: #3983 -#29781 := [unit-resolution #3984 #29780]: #4515 -#20547 := (or #4520 #7166 #15518 #15538) -#15505 := (+ #2307 #15504) -#15506 := (+ #7167 #15505) -#15507 := (= #15506 0::int) -#15508 := (not #15507) -#15509 := (+ #7167 #2307) -#15510 := (>= #15509 0::int) -#15511 := (or #7166 #15510 #15508) -#17626 := (or #4520 #15511) -#20578 := (iff #17626 #20547) -#20549 := (or #4520 #15541) -#20516 := (iff #20549 #20547) -#20517 := [rewrite]: #20516 -#20386 := (iff #17626 #20549) -#15542 := (iff #15511 #15541) -#15539 := (iff #15508 #15538) -#15536 := (iff #15507 #15533) -#15523 := (+ #7167 #15504) -#15524 := (+ #2307 #15523) -#15527 := (= #15524 0::int) -#15534 := (iff #15527 #15533) -#15535 := [rewrite]: #15534 -#15528 := (iff #15507 #15527) -#15525 := (= #15506 #15524) -#15526 := [rewrite]: #15525 -#15529 := [monotonicity #15526]: #15528 -#15537 := [trans #15529 #15535]: #15536 -#15540 := [monotonicity #15537]: #15539 -#15521 := (iff #15510 #15518) -#15512 := (+ #2307 #7167) -#15515 := (>= #15512 0::int) -#15519 := (iff #15515 #15518) -#15520 := [rewrite]: #15519 -#15516 := (iff #15510 #15515) -#15513 := (= #15509 #15512) -#15514 := [rewrite]: #15513 -#15517 := [monotonicity #15514]: #15516 -#15522 := [trans #15517 #15520]: #15521 -#15543 := [monotonicity #15522 #15540]: #15542 -#20388 := [monotonicity #15543]: #20386 -#20485 := [trans #20388 #20517]: #20578 -#20612 := [quant-inst]: #17626 -#20795 := [mp #20612 #20485]: #20547 -#29782 := [unit-resolution #20795 #29781]: #15541 -#29783 := [unit-resolution #29782 #29774 #25367]: #15518 -#28771 := (<= #28711 0::int) -#28772 := (not #28771) -#28773 := (= #7128 #27533) -#29792 := (not #28773) -#28056 := (not #18779) -#29793 := (iff #28056 #29792) -#29790 := (iff #18779 #28773) -#29788 := (iff #28773 #18779) -#29785 := (iff #28773 #25219) -#29786 := [monotonicity #29764]: #29785 -#29789 := [trans #29786 #29787]: #29788 -#29791 := [symm #29789]: #29790 -#29794 := [monotonicity #29791]: #29793 -#29784 := [hypothesis]: #28056 -#29795 := [mp #29784 #29794]: #29792 -#28775 := (or #28772 #28773) -#29743 := (or #7093 #28772 #28773) -#28774 := (or #28773 #28772) -#29744 := (or #7093 #28774) -#29751 := (iff #29744 #29743) -#29746 := (or #7093 #28775) -#29749 := (iff #29746 #29743) -#29750 := [rewrite]: #29749 -#29747 := (iff #29744 #29746) -#28776 := (iff #28774 #28775) -#28777 := [rewrite]: #28776 -#29748 := [monotonicity #28777]: #29747 -#29752 := [trans #29748 #29750]: #29751 -#29745 := [quant-inst]: #29744 -#29753 := [mp #29745 #29752]: #29743 -#29796 := [unit-resolution #29753 #4347]: #28775 -#29797 := [unit-resolution #29796 #29795]: #28772 -#29798 := [th-lemma #29797 #29783 #25304 #25235 #12934 #29773]: false -#29800 := [lemma #29798]: #29799 -#32973 := [unit-resolution #29800 #32972]: #18779 -#32992 := [mp #32973 #32991]: #32602 -#32632 := (not #32602) -#32993 := (or #32591 #32632) -#29702 := (or #32591 #32632 #7040) -#30315 := [def-axiom]: #29702 -#32995 := [unit-resolution #30315 #8579]: #32993 -#32996 := [unit-resolution #32995 #32992]: #32591 -#32599 := (not #32591) -#28920 := (not #32564) -#30916 := (or #28920 #32538 #32599) -#31002 := [def-axiom]: #30916 -#32987 := [unit-resolution #31002 #32996 #32981 #32954]: false -#32997 := [lemma #32987]: #15367 -#39375 := (or #32956 #14218) -#39376 := [th-lemma]: #39375 -#39377 := [unit-resolution #39376 #32997]: #14218 -#34351 := (not #14218) -#34357 := (or #34324 #34351) -#4272 := (or #4523 #2319) -#4270 := [def-axiom]: #4272 -#34292 := [unit-resolution #4270 #29780]: #2319 -#34293 := [hypothesis]: #14218 -#34291 := [hypothesis]: #16010 -#34294 := [th-lemma #34291 #34293 #34292]: false -#34641 := [lemma #34294]: #34357 -#39378 := [unit-resolution #34641 #39377]: #34324 -#39380 := (or #16010 #16030) -#4273 := (or #4523 #2896) -#4259 := [def-axiom]: #4273 -#39379 := [unit-resolution #4259 #29780]: #2896 -#17785 := (or #4442 #2893 #16010 #16030) -#15998 := (+ #15997 #15995) -#15999 := (+ #15362 #15998) -#16000 := (= #15999 0::int) -#16001 := (not #16000) -#16007 := (or #16006 #16003 #16001) -#16008 := (not #16007) -#16011 := (or #2320 #16010 #16008) -#20897 := (or #4442 #16011) -#21453 := (iff #20897 #17785) -#16033 := (or #2893 #16010 #16030) -#21128 := (or #4442 #16033) -#18084 := (iff #21128 #17785) -#22003 := [rewrite]: #18084 -#20788 := (iff #20897 #21128) -#16034 := (iff #16011 #16033) -#16031 := (iff #16008 #16030) -#16028 := (iff #16007 #16025) -#16022 := (or #16006 #16003 #16019) -#16026 := (iff #16022 #16025) -#16027 := [rewrite]: #16026 -#16023 := (iff #16007 #16022) -#16020 := (iff #16001 #16019) -#16017 := (iff #16000 #16016) -#16014 := (= #15999 #16013) -#16015 := [rewrite]: #16014 -#16018 := [monotonicity #16015]: #16017 -#16021 := [monotonicity #16018]: #16020 -#16024 := [monotonicity #16021]: #16023 -#16029 := [trans #16024 #16027]: #16028 -#16032 := [monotonicity #16029]: #16031 -#16035 := [monotonicity #2895 #16032]: #16034 -#21237 := [monotonicity #16035]: #20788 -#21330 := [trans #21237 #22003]: #21453 -#21234 := [quant-inst]: #20897 -#21506 := [mp #21234 #21330]: #17785 -#39381 := [unit-resolution #21506 #8030 #39379]: #39380 -#39382 := [unit-resolution #39381 #39378]: #16030 -#22030 := (or #16025 #16016) -#18058 := [def-axiom]: #22030 -#32365 := [unit-resolution #18058 #39382]: #16016 -#32368 := (or #16019 #22006) -#29568 := [th-lemma]: #32368 -#29612 := [unit-resolution #29568 #32365]: #22006 -#20411 := (+ uf_9 #15995) -#20412 := (<= #20411 0::int) -#20215 := (uf_6 uf_17 #15992) -#20216 := (= uf_8 #20215) -#20606 := (uf_2 #15993) -#39327 := (uf_6 #7203 #20606) -#38901 := (= #39327 #20215) -#38905 := (= #20215 #39327) -#20607 := (= #15992 #20606) -#25402 := (or #7136 #20607) -#25393 := [quant-inst]: #25402 -#39384 := [unit-resolution #25393 #4306]: #20607 -#8247 := (= uf_17 #7203) -#8291 := (= #150 #7203) -#8151 := [symm #8593]: #8291 -#8423 := [trans #8578 #8151]: #8247 -#38906 := [monotonicity #8423 #39384]: #38905 -#38907 := [symm #38906]: #38901 -#39330 := (= uf_8 #39327) -#21345 := (uf_6 uf_15 #20606) -#21346 := (= uf_8 #21345) -#39333 := (= #7128 #20606) -#39336 := (ite #39333 #5314 #21346) -#39339 := (iff #39330 #39336) -#38867 := (or #7026 #39339) -#39325 := (= #20606 #7128) -#39326 := (ite #39325 #6089 #21346) -#39328 := (= #39327 uf_8) -#39329 := (iff #39328 #39326) -#38877 := (or #7026 #39329) -#38879 := (iff #38877 #38867) -#38890 := (iff #38867 #38867) -#38888 := [rewrite]: #38890 -#39340 := (iff #39329 #39339) -#39337 := (iff #39326 #39336) -#39334 := (iff #39325 #39333) -#39335 := [rewrite]: #39334 -#39338 := [monotonicity #39335 #6102]: #39337 -#39331 := (iff #39328 #39330) -#39332 := [rewrite]: #39331 -#39341 := [monotonicity #39332 #39338]: #39340 -#38889 := [monotonicity #39341]: #38879 -#38894 := [trans #38889 #38888]: #38879 -#38878 := [quant-inst]: #38877 -#38893 := [mp #38878 #38894]: #38867 -#38919 := [unit-resolution #38893 #4320]: #39339 -#38895 := (not #39339) -#38922 := (or #38895 #39330) -#39351 := (not #39336) -#39371 := [hypothesis]: #39351 -#39352 := (not #39333) -#39372 := (or #39336 #39352) -#39357 := (or #39336 #39352 #7040) -#39358 := [def-axiom]: #39357 -#39373 := [unit-resolution #39358 #8579]: #39372 -#39374 := [unit-resolution #39373 #39371]: #39352 -#39394 := (or #39336 #39333) -#39391 := (= #16004 #21345) -#39387 := (= #21345 #16004) -#39385 := (= #20606 #15992) -#39386 := [symm #39384]: #39385 -#39388 := [monotonicity #39386]: #39387 -#39392 := [symm #39388]: #39391 -#21698 := (or #16025 #16005) -#21997 := [def-axiom]: #21698 -#39383 := [unit-resolution #21997 #39382]: #16005 -#39393 := [trans #39383 #39392]: #21346 -#21347 := (not #21346) -#39359 := (or #39336 #39333 #21347) -#39360 := [def-axiom]: #39359 -#39395 := [unit-resolution #39360 #39393]: #39394 -#39396 := [unit-resolution #39395 #39374 #39371]: false -#39397 := [lemma #39396]: #39336 -#38896 := (or #38895 #39330 #39351) -#38897 := [def-axiom]: #38896 -#38902 := [unit-resolution #38897 #39397]: #38922 -#38903 := [unit-resolution #38902 #38919]: #39330 -#38908 := [trans #38903 #38907]: #20216 -#20217 := (not #20216) -#38921 := [hypothesis]: #20217 -#38924 := [unit-resolution #38921 #38908]: false -#38927 := [lemma #38924]: #20216 -#20218 := (uf_18 #15992) -#20235 := (* -1::int #20218) -#20421 := (+ #15995 #20235) -#20422 := (+ #2306 #20421) -#20423 := (<= #20422 0::int) -#31764 := (not #20423) -#26473 := (>= #20422 0::int) -#20236 := (+ #15996 #20235) -#20237 := (>= #20236 0::int) -#25927 := (or #4477 #20237) -#26030 := [quant-inst]: #25927 -#27294 := [unit-resolution #26030 #14110]: #20237 -#32338 := (not #20237) -#29920 := (not #22006) -#29919 := (or #26473 #29920 #34351 #32338) -#32347 := [th-lemma]: #29919 -#32336 := [unit-resolution #32347 #29612 #27294 #39377]: #26473 -#20465 := (= #20422 0::int) -#20470 := (not #20465) -#20454 := (+ #2306 #20235) -#20455 := (<= #20454 0::int) -#32331 := (not #20455) -#22027 := (not #16003) -#21587 := (or #16025 #22027) -#21112 := [def-axiom]: #21587 -#32344 := [unit-resolution #21112 #39382]: #22027 -#32343 := (or #32331 #16003 #34351 #32338) -#32335 := [th-lemma]: #32343 -#32375 := [unit-resolution #32335 #32344 #27294 #39377]: #32331 -#20473 := (or #20217 #20455 #20470) -#25436 := (or #4520 #20217 #20455 #20470) -#20442 := (+ #2307 #15994) -#20443 := (+ #20218 #20442) -#20444 := (= #20443 0::int) -#20445 := (not #20444) -#20406 := (+ #20218 #2307) -#20446 := (>= #20406 0::int) -#20447 := (or #20217 #20446 #20445) -#26505 := (or #4520 #20447) -#26705 := (iff #26505 #25436) -#11899 := (or #4520 #20473) -#26697 := (iff #11899 #25436) -#26704 := [rewrite]: #26697 -#25435 := (iff #26505 #11899) -#20474 := (iff #20447 #20473) -#20471 := (iff #20445 #20470) -#20468 := (iff #20444 #20465) -#20414 := (+ #15994 #20218) -#20415 := (+ #2307 #20414) -#20462 := (= #20415 0::int) -#20466 := (iff #20462 #20465) -#20467 := [rewrite]: #20466 -#20463 := (iff #20444 #20462) -#20460 := (= #20443 #20415) -#20461 := [rewrite]: #20460 -#20464 := [monotonicity #20461]: #20463 -#20469 := [trans #20464 #20467]: #20468 -#20472 := [monotonicity #20469]: #20471 -#20458 := (iff #20446 #20455) -#20448 := (+ #2307 #20218) -#20451 := (>= #20448 0::int) -#20456 := (iff #20451 #20455) -#20457 := [rewrite]: #20456 -#20452 := (iff #20446 #20451) -#20449 := (= #20406 #20448) -#20450 := [rewrite]: #20449 -#20453 := [monotonicity #20450]: #20452 -#20459 := [trans #20453 #20457]: #20458 -#20475 := [monotonicity #20459 #20472]: #20474 -#26696 := [monotonicity #20475]: #25435 -#26698 := [trans #26696 #26704]: #26705 -#26504 := [quant-inst]: #26505 -#26615 := [mp #26504 #26698]: #25436 -#29644 := [unit-resolution #26615 #29781]: #20473 -#29611 := [unit-resolution #29644 #38927 #32375]: #20470 -#32349 := (not #26473) -#31762 := (or #20465 #31764 #32349) -#29679 := [th-lemma]: #31762 -#32366 := [unit-resolution #29679 #29611 #32336]: #31764 -#20428 := (or #20217 #20412 #20423) -#4260 := (or #4523 #4506) -#3982 := [def-axiom]: #4260 -#29894 := [unit-resolution #3982 #29780]: #4506 -#26338 := (or #4511 #20217 #20412 #20423) -#20407 := (+ #15994 #20406) -#20410 := (>= #20407 0::int) -#20413 := (or #20217 #20412 #20410) -#26340 := (or #4511 #20413) -#25469 := (iff #26340 #26338) -#10685 := (or #4511 #20428) -#25478 := (iff #10685 #26338) -#25474 := [rewrite]: #25478 -#25437 := (iff #26340 #10685) -#20429 := (iff #20413 #20428) -#20426 := (iff #20410 #20423) -#20418 := (>= #20415 0::int) -#20424 := (iff #20418 #20423) -#20425 := [rewrite]: #20424 -#20419 := (iff #20410 #20418) -#20416 := (= #20407 #20415) -#20417 := [rewrite]: #20416 -#20420 := [monotonicity #20417]: #20419 -#20427 := [trans #20420 #20425]: #20426 -#20430 := [monotonicity #20427]: #20429 -#25388 := [monotonicity #20430]: #25437 -#25466 := [trans #25388 #25474]: #25469 -#25477 := [quant-inst]: #26340 -#25432 := [mp #25477 #25466]: #26338 -#31826 := [unit-resolution #25432 #29894]: #20428 -#29616 := [unit-resolution #31826 #32366 #38927]: #20412 -[th-lemma #34292 #39377 #29616 #29612 #29563]: false -unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_b_max --- a/src/HOL/Boogie/Examples/cert/Boogie_b_max Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,19 +0,0 @@ -(benchmark Isabelle -:extrafuns ( - (uf_3 Int Int) - (uf_5 Int) - (uf_7 Int) - (uf_11 Int) - (uf_4 Int) - (uf_9 Int) - (uf_13 Int) - (uf_1 Int) - (uf_2 Int) - (uf_6 Int) - (uf_10 Int) - (uf_8 Int) - (uf_12 Int) - ) -:assumption (not (implies true (implies (< 0 uf_1) (implies true (implies (= uf_2 (uf_3 0)) (implies (and (<= 1 1) (and (<= 1 1) (and (<= 0 0) (<= 0 0)))) (and (implies (forall (?x1 Int) (implies (and (< ?x1 1) (<= 0 ?x1)) (<= (uf_3 ?x1) uf_2))) (and (implies (= (uf_3 0) uf_2) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (forall (?x2 Int) (implies (and (< ?x2 uf_4) (<= 0 ?x2)) (<= (uf_3 ?x2) uf_6))) (implies (= (uf_3 uf_5) uf_6) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (and (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (< uf_4 uf_1) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (and (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (<= (uf_3 uf_4) uf_6) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies true (implies (= uf_7 uf_5) (implies (= uf_8 uf_6) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_7)) (implies (= uf_9 (+ uf_4 1)) (implies (and (<= 2 uf_9) (<= 0 uf_7)) (implies true (and (implies (forall (?x3 Int) (implies (and (< ?x3 uf_9) (<= 0 ?x3)) (<= (uf_3 ?x3) uf_8))) (and (implies (= (uf_3 uf_7) uf_8) (implies false true)) (= (uf_3 uf_7) uf_8))) (forall (?x4 Int) (implies (and (< ?x4 uf_9) (<= 0 ?x4)) (<= (uf_3 ?x4) uf_8)))))))))))))))) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (< uf_6 (uf_3 uf_4)) (implies (= uf_10 (uf_3 uf_4)) (implies (and (<= 1 uf_4) (<= 1 uf_4)) (implies true (implies (= uf_7 uf_4) (implies (= uf_8 uf_10) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_7)) (implies (= uf_9 (+ uf_4 1)) (implies (and (<= 2 uf_9) (<= 0 uf_7)) (implies true (and (implies (forall (?x5 Int) (implies (and (< ?x5 uf_9) (<= 0 ?x5)) (<= (uf_3 ?x5) uf_8))) (and (implies (= (uf_3 uf_7) uf_8) (implies false true)) (= (uf_3 uf_7) uf_8))) (forall (?x6 Int) (implies (and (< ?x6 uf_9) (<= 0 ?x6)) (<= (uf_3 ?x6) uf_8)))))))))))))))))))))) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (<= uf_1 uf_4) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies true (implies (= uf_11 uf_5) (implies (= uf_12 uf_6) (implies (= uf_13 uf_4) (implies true (and (implies (exists (?x7 Int) (implies (and (< ?x7 uf_1) (<= 0 ?x7)) (= (uf_3 ?x7) uf_12))) (and (implies (forall (?x8 Int) (implies (and (< ?x8 uf_1) (<= 0 ?x8)) (<= (uf_3 ?x8) uf_12))) true) (forall (?x9 Int) (implies (and (< ?x9 uf_1) (<= 0 ?x9)) (<= (uf_3 ?x9) uf_12))))) (exists (?x10 Int) (implies (and (< ?x10 uf_1) (<= 0 ?x10)) (= (uf_3 ?x10) uf_12)))))))))))))))))))) (= (uf_3 0) uf_2))) (forall (?x11 Int) (implies (and (< ?x11 1) (<= 0 ?x11)) (<= (uf_3 ?x11) uf_2)))))))))) -:formula true -) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_b_max.proof --- a/src/HOL/Boogie/Examples/cert/Boogie_b_max.proof Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,2329 +0,0 @@ -#2 := false -#4 := 0::int -decl uf_3 :: (-> int int) -decl ?x3!1 :: int -#1188 := ?x3!1 -#1195 := (uf_3 ?x3!1) -#760 := -1::int -#1381 := (* -1::int #1195) -decl uf_4 :: int -#25 := uf_4 -#39 := (uf_3 uf_4) -#2763 := (+ #39 #1381) -#2765 := (>= #2763 0::int) -#2762 := (= #39 #1195) -#2631 := (= uf_4 ?x3!1) -#1394 := (* -1::int ?x3!1) -#2564 := (+ uf_4 #1394) -#2628 := (>= #2564 0::int) -decl uf_9 :: int -#47 := uf_9 -#806 := (* -1::int uf_9) -#838 := (+ uf_4 #806) -#1977 := (>= #838 -1::int) -#837 := (= #838 -1::int) -#1395 := (+ uf_9 #1394) -#1396 := (<= #1395 0::int) -decl uf_8 :: int -#43 := uf_8 -#1382 := (+ uf_8 #1381) -#1383 := (>= #1382 0::int) -#1192 := (>= ?x3!1 0::int) -#1625 := (not #1192) -#1640 := (or #1625 #1383 #1396) -#1645 := (not #1640) -#16 := (:var 0 int) -#20 := (uf_3 #16) -#2303 := (pattern #20) -#807 := (+ #16 #806) -#805 := (>= #807 0::int) -#799 := (* -1::int uf_8) -#800 := (+ #20 #799) -#801 := (<= #800 0::int) -#753 := (>= #16 0::int) -#1548 := (not #753) -#1607 := (or #1548 #801 #805) -#2320 := (forall (vars (?x3 int)) (:pat #2303) #1607) -#2325 := (not #2320) -decl uf_7 :: int -#41 := uf_7 -#58 := (uf_3 uf_7) -#221 := (= uf_8 #58) -#2328 := (or #221 #2325) -#2331 := (not #2328) -#2334 := (or #2331 #1645) -#2337 := (not #2334) -#851 := (* -1::int #39) -decl uf_6 :: int -#32 := uf_6 -#852 := (+ uf_6 #851) -#850 := (>= #852 0::int) -#840 := (not #837) -#50 := 2::int -#791 := (>= uf_9 2::int) -#1656 := (not #791) -#788 := (>= uf_7 0::int) -#1655 := (not #788) -decl uf_5 :: int -#27 := uf_5 -#779 := (>= uf_5 0::int) -#1654 := (not #779) -#10 := 1::int -#776 := (>= uf_4 1::int) -#886 := (not #776) -#361 := (= uf_4 uf_7) -#376 := (not #361) -decl uf_10 :: int -#78 := uf_10 -#356 := (= #39 uf_10) -#401 := (not #356) -#82 := (= uf_8 uf_10) -#367 := (not #82) -#2346 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #2337) -#2349 := (not #2346) -#854 := (not #850) -#194 := (= uf_6 uf_8) -#301 := (not #194) -#191 := (= uf_5 uf_7) -#310 := (not #191) -#2340 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #2337) -#2343 := (not #2340) -#2352 := (or #2343 #2349) -#2355 := (not #2352) -#924 := (* -1::int uf_4) -decl uf_1 :: int -#5 := uf_1 -#925 := (+ uf_1 #924) -#926 := (<= #925 0::int) -#2358 := (or #886 #1654 #926 #2355) -#2361 := (not #2358) -decl ?x7!2 :: int -#1279 := ?x7!2 -#1287 := (uf_3 ?x7!2) -decl uf_12 :: int -#99 := uf_12 -#1469 := (= uf_12 #1287) -#1284 := (>= ?x7!2 0::int) -#1711 := (not #1284) -#1280 := (* -1::int ?x7!2) -#1281 := (+ uf_1 #1280) -#1282 := (<= #1281 0::int) -#1726 := (or #1282 #1711 #1469) -#1757 := (not #1726) -decl ?x8!3 :: int -#1297 := ?x8!3 -#1298 := (uf_3 ?x8!3) -#1493 := (* -1::int #1298) -#1494 := (+ uf_12 #1493) -#1495 := (>= #1494 0::int) -#1305 := (>= ?x8!3 0::int) -#1731 := (not #1305) -#1301 := (* -1::int ?x8!3) -#1302 := (+ uf_1 #1301) -#1303 := (<= #1302 0::int) -#1795 := (or #1303 #1731 #1495 #1757) -#1798 := (not #1795) -#951 := (* -1::int #16) -#952 := (+ uf_1 #951) -#953 := (<= #952 0::int) -#105 := (= #20 uf_12) -#1700 := (or #105 #1548 #953) -#1705 := (not #1700) -#2364 := (forall (vars (?x7 int)) (:pat #2303) #1705) -#2369 := (or #2364 #1798) -#2372 := (not #2369) -#927 := (not #926) -decl uf_13 :: int -#101 := uf_13 -#472 := (= uf_4 uf_13) -#542 := (not #472) -#469 := (= uf_6 uf_12) -#551 := (not #469) -decl uf_11 :: int -#97 := uf_11 -#466 := (= uf_5 uf_11) -#560 := (not #466) -#2375 := (or #560 #551 #542 #886 #1654 #927 #2372) -#2378 := (not #2375) -#2381 := (or #2361 #2378) -#2384 := (not #2381) -#1030 := (+ #16 #924) -#1029 := (>= #1030 0::int) -#1024 := (* -1::int uf_6) -#1025 := (+ #20 #1024) -#1026 := (<= #1025 0::int) -#1585 := (or #1548 #1026 #1029) -#2312 := (forall (vars (?x2 int)) (:pat #2303) #1585) -#2317 := (not #2312) -#763 := (* -1::int #20) -decl uf_2 :: int -#7 := uf_2 -#764 := (+ uf_2 #763) -#762 := (>= #764 0::int) -#749 := (>= #16 1::int) -#1563 := (or #749 #1548 #762) -#2304 := (forall (vars (?x1 int)) (:pat #2303) #1563) -#2309 := (not #2304) -#36 := (uf_3 uf_5) -#188 := (= uf_6 #36) -#619 := (not #188) -#2387 := (or #619 #886 #1654 #2309 #2317 #2384) -#2390 := (not #2387) -decl ?x1!0 :: int -#1152 := ?x1!0 -#1156 := (>= ?x1!0 1::int) -#1155 := (>= ?x1!0 0::int) -#1164 := (not #1155) -#1153 := (uf_3 ?x1!0) -#1150 := (* -1::int #1153) -#1151 := (+ uf_2 #1150) -#1154 := (>= #1151 0::int) -#1540 := (or #1154 #1164 #1156) -#2202 := (= uf_2 #1153) -#8 := (uf_3 0::int) -#2191 := (= #8 #1153) -#2188 := (= #1153 #8) -#2207 := (= ?x1!0 0::int) -#1157 := (not #1156) -#1545 := (not #1540) -#2205 := [hypothesis]: #1545 -#1976 := (or #1540 #1157) -#1967 := [def-axiom]: #1976 -#2206 := [unit-resolution #1967 #2205]: #1157 -#1975 := (or #1540 #1155) -#1890 := [def-axiom]: #1975 -#2203 := [unit-resolution #1890 #2205]: #1155 -#2187 := [th-lemma #2203 #2206]: #2207 -#2190 := [monotonicity #2187]: #2188 -#2192 := [symm #2190]: #2191 -#9 := (= uf_2 #8) -#1078 := (<= uf_1 0::int) -#1031 := (not #1029) -#1034 := (and #753 #1031) -#1037 := (not #1034) -#1040 := (or #1026 #1037) -#1043 := (forall (vars (?x2 int)) #1040) -#1046 := (not #1043) -#972 := (* -1::int uf_12) -#973 := (+ #20 #972) -#974 := (<= #973 0::int) -#954 := (not #953) -#957 := (and #753 #954) -#960 := (not #957) -#980 := (or #960 #974) -#985 := (forall (vars (?x8 int)) #980) -#963 := (or #105 #960) -#966 := (exists (vars (?x7 int)) #963) -#969 := (not #966) -#988 := (or #969 #985) -#991 := (and #966 #988) -#781 := (and #776 #779) -#784 := (not #781) -#1016 := (or #560 #551 #542 #784 #927 #991) -#843 := (and #776 #788) -#846 := (not #843) -#804 := (not #805) -#810 := (and #753 #804) -#813 := (not #810) -#816 := (or #801 #813) -#819 := (forall (vars (?x3 int)) #816) -#822 := (not #819) -#828 := (or #221 #822) -#833 := (and #819 #828) -#793 := (and #788 #791) -#796 := (not #793) -#916 := (or #367 #401 #376 #886 #784 #796 #833 #840 #846 #850) -#881 := (or #310 #301 #784 #796 #833 #840 #846 #854) -#921 := (and #881 #916) -#946 := (or #784 #921 #926) -#1021 := (and #946 #1016) -#652 := (not #9) -#1064 := (or #652 #619 #784 #1021 #1046) -#1069 := (and #9 #1064) -#747 := (not #749) -#754 := (and #747 #753) -#757 := (not #754) -#766 := (or #757 #762) -#769 := (forall (vars (?x1 int)) #766) -#772 := (not #769) -#1072 := (or #772 #1069) -#1075 := (and #769 #1072) -#1098 := (or #652 #1075 #1078) -#1103 := (not #1098) -#21 := (<= #20 uf_2) -#18 := (<= 0::int #16) -#17 := (< #16 1::int) -#19 := (and #17 #18) -#22 := (implies #19 #21) -#23 := (forall (vars (?x1 int)) #22) -#24 := (= #8 uf_2) -#103 := (< #16 uf_1) -#104 := (and #103 #18) -#106 := (implies #104 #105) -#107 := (exists (vars (?x7 int)) #106) -#108 := (<= #20 uf_12) -#109 := (implies #104 #108) -#110 := (forall (vars (?x8 int)) #109) -#1 := true -#111 := (implies #110 true) -#112 := (and #111 #110) -#113 := (implies #107 #112) -#114 := (and #113 #107) -#115 := (implies true #114) -#102 := (= uf_13 uf_4) -#116 := (implies #102 #115) -#100 := (= uf_12 uf_6) -#117 := (implies #100 #116) -#98 := (= uf_11 uf_5) -#118 := (implies #98 #117) -#119 := (implies true #118) -#28 := (<= 0::int uf_5) -#26 := (<= 1::int uf_4) -#29 := (and #26 #28) -#120 := (implies #29 #119) -#96 := (<= uf_1 uf_4) -#121 := (implies #96 #120) -#122 := (implies #29 #121) -#123 := (implies true #122) -#55 := (<= #20 uf_8) -#53 := (< #16 uf_9) -#54 := (and #53 #18) -#56 := (implies #54 #55) -#57 := (forall (vars (?x3 int)) #56) -#59 := (= #58 uf_8) -#60 := (implies false true) -#61 := (implies #59 #60) -#62 := (and #61 #59) -#63 := (implies #57 #62) -#64 := (and #63 #57) -#65 := (implies true #64) -#45 := (<= 0::int uf_7) -#51 := (<= 2::int uf_9) -#52 := (and #51 #45) -#66 := (implies #52 #65) -#48 := (+ uf_4 1::int) -#49 := (= uf_9 #48) -#67 := (implies #49 #66) -#46 := (and #26 #45) -#68 := (implies #46 #67) -#69 := (implies true #68) -#83 := (implies #82 #69) -#81 := (= uf_7 uf_4) -#84 := (implies #81 #83) -#85 := (implies true #84) -#80 := (and #26 #26) -#86 := (implies #80 #85) -#79 := (= uf_10 #39) -#87 := (implies #79 #86) -#77 := (< uf_6 #39) -#88 := (implies #77 #87) -#89 := (implies #29 #88) -#90 := (implies true #89) -#44 := (= uf_8 uf_6) -#70 := (implies #44 #69) -#42 := (= uf_7 uf_5) -#71 := (implies #42 #70) -#72 := (implies true #71) -#73 := (implies #29 #72) -#40 := (<= #39 uf_6) -#74 := (implies #40 #73) -#75 := (implies #29 #74) -#76 := (implies true #75) -#91 := (and #76 #90) -#92 := (implies #29 #91) -#38 := (< uf_4 uf_1) -#93 := (implies #38 #92) -#94 := (implies #29 #93) -#95 := (implies true #94) -#124 := (and #95 #123) -#125 := (implies #29 #124) -#37 := (= #36 uf_6) -#126 := (implies #37 #125) -#33 := (<= #20 uf_6) -#30 := (< #16 uf_4) -#31 := (and #30 #18) -#34 := (implies #31 #33) -#35 := (forall (vars (?x2 int)) #34) -#127 := (implies #35 #126) -#128 := (implies #29 #127) -#129 := (implies true #128) -#130 := (implies #24 #129) -#131 := (and #130 #24) -#132 := (implies #23 #131) -#133 := (and #132 #23) -#12 := (<= 0::int 0::int) -#13 := (and #12 #12) -#11 := (<= 1::int 1::int) -#14 := (and #11 #13) -#15 := (and #11 #14) -#134 := (implies #15 #133) -#135 := (implies #9 #134) -#136 := (implies true #135) -#6 := (< 0::int uf_1) -#137 := (implies #6 #136) -#138 := (implies true #137) -#139 := (not #138) -#1106 := (iff #139 #1103) -#475 := 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(implies #487 #498) -#520 := (iff #515 #519) -#521 := [rewrite]: #520 -#516 := (iff #113 #515) -#513 := (iff #112 #498) -#508 := (and true #498) -#511 := (iff #508 #498) -#512 := [rewrite]: #511 -#509 := (iff #112 #508) -#499 := (iff #110 #498) -#496 := (iff #109 #493) -#490 := (implies #475 #108) -#494 := (iff #490 #493) -#495 := [rewrite]: #494 -#491 := (iff #109 #490) -#492 := [monotonicity #477]: #491 -#497 := [trans #492 #495]: #496 -#500 := [quant-intro #497]: #499 -#506 := (iff #111 true) -#501 := (implies #498 true) -#504 := (iff #501 true) -#505 := [rewrite]: #504 -#502 := (iff #111 #501) -#503 := [monotonicity #500]: #502 -#507 := [trans #503 #505]: #506 -#510 := [monotonicity #507 #500]: #509 -#514 := [trans #510 #512]: #513 -#517 := [monotonicity #489 #514]: #516 -#523 := [trans #517 #521]: #522 -#526 := [monotonicity #523 #489]: #525 -#531 := [trans #526 #529]: #530 -#534 := [monotonicity #531]: #533 -#538 := [trans #534 #536]: #537 -#473 := (iff #102 #472) -#474 := [rewrite]: #473 -#541 := [monotonicity #474 #538]: #540 -#547 := [trans #541 #545]: #546 -#470 := (iff #100 #469) -#471 := [rewrite]: #470 -#550 := [monotonicity #471 #547]: #549 -#556 := [trans #550 #554]: #555 -#467 := (iff #98 #466) -#468 := [rewrite]: #467 -#559 := [monotonicity #468 #556]: #558 -#565 := [trans #559 #563]: #564 -#568 := [monotonicity #565]: #567 -#572 := [trans #568 #570]: #571 -#575 := [monotonicity #572]: #574 -#580 := [trans #575 #578]: #579 -#583 := [monotonicity #580]: #582 -#589 := [trans #583 #587]: #588 -#592 := [monotonicity #589]: #591 -#597 := [trans #592 #595]: #596 -#600 := [monotonicity #597]: #599 -#604 := [trans #600 #602]: #603 -#464 := (iff #95 #454) -#459 := (implies true #454) -#462 := (iff #459 #454) -#463 := [rewrite]: #462 -#460 := (iff #95 #459) -#457 := (iff #94 #454) -#451 := (implies #29 #446) -#455 := (iff #451 #454) -#456 := [rewrite]: #455 -#452 := (iff #94 #451) -#449 := (iff #93 #446) -#442 := (implies #38 #437) -#447 := (iff #442 #446) -#448 := [rewrite]: #447 -#443 := (iff #93 #442) -#440 := (iff #92 #437) -#434 := (implies #29 #431) -#438 := (iff #434 #437) -#439 := [rewrite]: #438 -#435 := (iff #92 #434) -#432 := (iff #91 #431) -#429 := (iff #90 #419) -#424 := (implies true #419) -#427 := (iff #424 #419) -#428 := [rewrite]: #427 -#425 := (iff #90 #424) -#422 := (iff #89 #419) -#416 := (implies #29 #411) -#420 := (iff #416 #419) -#421 := [rewrite]: #420 -#417 := (iff #89 #416) -#414 := (iff #88 #411) -#407 := (implies #77 #402) -#412 := (iff #407 #411) -#413 := [rewrite]: #412 -#408 := (iff #88 #407) -#405 := (iff #87 #402) -#398 := (implies #356 #393) -#403 := (iff #398 #402) -#404 := [rewrite]: #403 -#399 := (iff #87 #398) -#396 := (iff #86 #393) -#389 := (implies #26 #377) -#394 := (iff #389 #393) -#395 := [rewrite]: #394 -#390 := (iff #86 #389) -#387 := (iff #85 #377) -#382 := (implies true #377) -#385 := (iff #382 #377) -#386 := [rewrite]: #385 -#383 := (iff #85 #382) -#380 := (iff #84 #377) -#373 := (implies #361 #368) -#378 := (iff #373 #377) -#379 := [rewrite]: #378 -#374 := (iff #84 #373) -#371 := (iff #83 #368) -#364 := (implies #82 #286) -#369 := (iff #364 #368) -#370 := [rewrite]: #369 -#365 := (iff #83 #364) -#296 := (iff #69 #286) -#291 := (implies true #286) -#294 := (iff #291 #286) -#295 := [rewrite]: #294 -#292 := (iff #69 #291) -#289 := (iff #68 #286) -#282 := (implies #46 #277) -#287 := (iff #282 #286) -#288 := [rewrite]: #287 -#283 := (iff #68 #282) -#280 := (iff #67 #277) -#273 := (implies #200 #268) -#278 := (iff #273 #277) -#279 := [rewrite]: #278 -#274 := (iff #67 #273) -#271 := (iff #66 #268) -#264 := (implies #203 #252) -#269 := (iff #264 #268) -#270 := [rewrite]: #269 -#265 := (iff #66 #264) -#262 := (iff #65 #252) -#257 := (implies true #252) -#260 := (iff #257 #252) -#261 := [rewrite]: #260 -#258 := (iff #65 #257) -#255 := (iff #64 #252) -#249 := (and #244 #218) -#253 := (iff #249 #252) -#254 := [rewrite]: #253 -#250 := (iff #64 #249) -#219 := (iff #57 #218) -#216 := (iff #56 #213) -#209 := (implies #206 #55) -#214 := (iff #209 #213) -#215 := [rewrite]: #214 -#210 := (iff #56 #209) -#207 := (iff #54 #206) -#208 := [rewrite]: #207 -#211 := [monotonicity #208]: #210 -#217 := [trans #211 #215]: #216 -#220 := [quant-intro #217]: #219 -#247 := (iff #63 #244) -#240 := (implies #218 #221) -#245 := (iff #240 #244) -#246 := [rewrite]: #245 -#241 := (iff #63 #240) -#238 := (iff #62 #221) -#233 := (and true #221) -#236 := (iff #233 #221) -#237 := [rewrite]: #236 -#234 := (iff #62 #233) -#222 := (iff #59 #221) -#223 := [rewrite]: #222 -#231 := (iff #61 true) -#226 := (implies #221 true) -#229 := (iff #226 true) -#230 := [rewrite]: #229 -#227 := (iff #61 #226) -#224 := (iff #60 true) -#225 := [rewrite]: #224 -#228 := [monotonicity #223 #225]: #227 -#232 := [trans #228 #230]: #231 -#235 := [monotonicity #232 #223]: #234 -#239 := [trans #235 #237]: #238 -#242 := [monotonicity #220 #239]: #241 -#248 := [trans #242 #246]: #247 -#251 := [monotonicity #248 #220]: #250 -#256 := [trans #251 #254]: #255 -#259 := [monotonicity #256]: #258 -#263 := [trans #259 #261]: #262 -#204 := (iff #52 #203) -#205 := [rewrite]: #204 -#266 := [monotonicity #205 #263]: #265 -#272 := [trans #266 #270]: #271 -#201 := (iff #49 #200) -#198 := (= #48 #197) -#199 := [rewrite]: #198 -#202 := [monotonicity #199]: #201 -#275 := [monotonicity #202 #272]: #274 -#281 := [trans #275 #279]: #280 -#284 := [monotonicity #281]: #283 -#290 := [trans #284 #288]: #289 -#293 := [monotonicity #290]: #292 -#297 := [trans #293 #295]: #296 -#366 := [monotonicity #297]: #365 -#372 := [trans #366 #370]: #371 -#362 := (iff #81 #361) -#363 := [rewrite]: #362 -#375 := [monotonicity #363 #372]: #374 -#381 := [trans #375 #379]: #380 -#384 := [monotonicity #381]: #383 -#388 := [trans #384 #386]: #387 -#359 := (iff #80 #26) -#360 := [rewrite]: #359 -#391 := [monotonicity #360 #388]: #390 -#397 := [trans #391 #395]: #396 -#357 := (iff #79 #356) -#358 := [rewrite]: #357 -#400 := [monotonicity #358 #397]: #399 -#406 := [trans #400 #404]: #405 -#409 := [monotonicity #406]: #408 -#415 := [trans #409 #413]: #414 -#418 := [monotonicity #415]: #417 -#423 := [trans #418 #421]: #422 -#426 := [monotonicity #423]: #425 -#430 := [trans #426 #428]: #429 -#354 := (iff #76 #344) -#349 := (implies true #344) -#352 := (iff #349 #344) -#353 := [rewrite]: #352 -#350 := (iff #76 #349) -#347 := (iff #75 #344) -#341 := (implies #29 #336) -#345 := (iff #341 #344) -#346 := [rewrite]: #345 -#342 := (iff #75 #341) -#339 := (iff #74 #336) -#332 := (implies #40 #327) -#337 := (iff #332 #336) -#338 := [rewrite]: #337 -#333 := (iff #74 #332) -#330 := (iff #73 #327) -#323 := (implies #29 #311) -#328 := (iff #323 #327) -#329 := [rewrite]: #328 -#324 := (iff #73 #323) -#321 := (iff #72 #311) -#316 := (implies true #311) -#319 := (iff #316 #311) -#320 := [rewrite]: #319 -#317 := (iff #72 #316) -#314 := (iff #71 #311) -#307 := (implies #191 #302) -#312 := (iff #307 #311) -#313 := [rewrite]: #312 -#308 := (iff #71 #307) -#305 := (iff #70 #302) -#298 := (implies #194 #286) -#303 := (iff #298 #302) -#304 := [rewrite]: #303 -#299 := (iff #70 #298) -#195 := (iff #44 #194) -#196 := [rewrite]: #195 -#300 := [monotonicity #196 #297]: #299 -#306 := [trans #300 #304]: #305 -#192 := (iff #42 #191) -#193 := [rewrite]: #192 -#309 := [monotonicity #193 #306]: #308 -#315 := [trans #309 #313]: #314 -#318 := [monotonicity #315]: #317 -#322 := [trans #318 #320]: #321 -#325 := [monotonicity #322]: #324 -#331 := [trans #325 #329]: #330 -#334 := [monotonicity #331]: #333 -#340 := [trans #334 #338]: #339 -#343 := [monotonicity #340]: #342 -#348 := [trans #343 #346]: #347 -#351 := [monotonicity #348]: #350 -#355 := [trans #351 #353]: #354 -#433 := [monotonicity #355 #430]: #432 -#436 := [monotonicity #433]: #435 -#441 := [trans #436 #439]: #440 -#444 := [monotonicity #441]: #443 -#450 := [trans #444 #448]: #449 -#453 := [monotonicity #450]: #452 -#458 := [trans #453 #456]: #457 -#461 := [monotonicity #458]: #460 -#465 := [trans #461 #463]: #464 -#607 := [monotonicity #465 #604]: #606 -#610 := [monotonicity #607]: #609 -#615 := [trans #610 #613]: #614 -#189 := (iff #37 #188) -#190 := [rewrite]: #189 -#618 := [monotonicity #190 #615]: #617 -#624 := [trans #618 #622]: #623 -#186 := (iff #35 #185) -#183 := (iff #34 #180) -#176 := (implies #173 #33) -#181 := (iff #176 #180) -#182 := [rewrite]: #181 -#177 := (iff #34 #176) -#174 := (iff #31 #173) -#175 := [rewrite]: #174 -#178 := [monotonicity #175]: #177 -#184 := [trans #178 #182]: #183 -#187 := [quant-intro #184]: #186 -#627 := [monotonicity #187 #624]: #626 -#633 := [trans #627 #631]: #632 -#636 := [monotonicity #633]: #635 -#641 := [trans #636 #639]: #640 -#644 := [monotonicity #641]: #643 -#648 := [trans #644 #646]: #647 -#651 := [monotonicity #172 #648]: #650 -#657 := [trans #651 #655]: #656 -#660 := [monotonicity #657 #172]: #659 -#665 := [trans #660 #663]: #664 -#668 := [monotonicity #170 #665]: #667 -#674 := [trans #668 #672]: #673 -#677 := [monotonicity #674 #170]: #676 -#682 := [trans #677 #680]: #681 -#162 := (iff #15 #161) -#159 := (iff #14 #158) -#156 := (iff #13 #12) -#157 := [rewrite]: #156 -#160 := [monotonicity #157]: #159 -#163 := [monotonicity #160]: #162 -#685 := [monotonicity #163 #682]: #684 -#691 := [trans #685 #689]: #690 -#694 := [monotonicity #691]: #693 -#699 := [trans #694 #697]: #698 -#702 := [monotonicity #699]: #701 -#706 := [trans #702 #704]: #705 -#709 := [monotonicity #706]: #708 -#715 := [trans #709 #713]: #714 -#718 := [monotonicity #715]: #717 -#722 := [trans #718 #720]: #721 -#725 := [monotonicity #722]: #724 -#1107 := [trans #725 #1105]: #1106 -#155 := [asserted]: #139 -#1108 := [mp #155 #1107]: #1103 -#1109 := [not-or-elim #1108]: #9 -#2193 := [trans #1109 #2192]: #2202 -#1888 := (not #1154) -#1974 := (or #1540 #1888) -#1889 := [def-axiom]: #1974 -#2194 := [unit-resolution #1889 #2205]: #1888 -#2195 := (not #2202) -#2196 := (or #2195 #1154) -#2197 := [th-lemma]: #2196 -#2198 := [unit-resolution #2197 #2194 #2193]: false -#2199 := [lemma #2198]: #1540 -#2393 := (or #1545 #2390) -#1708 := (forall (vars (?x7 int)) #1705) -#1801 := (or #1708 #1798) -#1804 := (not #1801) -#1807 := (or #560 #551 #542 #886 #1654 #927 #1804) -#1810 := (not #1807) -#1612 := (forall (vars (?x3 int)) #1607) -#1618 := (not #1612) -#1619 := (or #221 #1618) -#1620 := (not #1619) -#1648 := (or #1620 #1645) -#1657 := (not #1648) -#1667 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #1657) -#1668 := (not #1667) -#1658 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #1657) -#1659 := (not #1658) -#1673 := (or #1659 #1668) -#1679 := (not #1673) -#1680 := (or #886 #1654 #926 #1679) -#1681 := (not #1680) -#1813 := (or #1681 #1810) -#1816 := (not #1813) -#1590 := (forall (vars (?x2 int)) #1585) -#1784 := (not #1590) -#1568 := (forall (vars (?x1 int)) #1563) -#1783 := (not #1568) -#1819 := (or #619 #886 #1654 #1783 #1784 #1816) -#1822 := (not #1819) -#1825 := (or #1545 #1822) -#2394 := (iff #1825 #2393) -#2391 := (iff #1822 #2390) -#2388 := (iff #1819 #2387) -#2385 := (iff #1816 #2384) -#2382 := (iff #1813 #2381) -#2379 := (iff #1810 #2378) -#2376 := (iff #1807 #2375) -#2373 := (iff #1804 #2372) -#2370 := (iff #1801 #2369) -#2367 := (iff #1708 #2364) -#2365 := (iff #1705 #1705) -#2366 := [refl]: #2365 -#2368 := [quant-intro #2366]: #2367 -#2371 := [monotonicity #2368]: #2370 -#2374 := [monotonicity #2371]: #2373 -#2377 := [monotonicity #2374]: #2376 -#2380 := [monotonicity #2377]: #2379 -#2362 := (iff #1681 #2361) -#2359 := (iff #1680 #2358) -#2356 := (iff #1679 #2355) -#2353 := (iff #1673 #2352) -#2350 := (iff #1668 #2349) -#2347 := (iff #1667 #2346) -#2338 := (iff #1657 #2337) -#2335 := (iff #1648 #2334) -#2332 := (iff #1620 #2331) -#2329 := (iff #1619 #2328) -#2326 := (iff #1618 #2325) -#2323 := (iff #1612 #2320) -#2321 := (iff #1607 #1607) -#2322 := [refl]: #2321 -#2324 := [quant-intro #2322]: #2323 -#2327 := [monotonicity #2324]: #2326 -#2330 := [monotonicity #2327]: #2329 -#2333 := [monotonicity #2330]: #2332 -#2336 := [monotonicity #2333]: #2335 -#2339 := [monotonicity #2336]: #2338 -#2348 := [monotonicity #2339]: #2347 -#2351 := [monotonicity #2348]: #2350 -#2344 := (iff #1659 #2343) -#2341 := (iff #1658 #2340) -#2342 := [monotonicity #2339]: #2341 -#2345 := [monotonicity #2342]: #2344 -#2354 := [monotonicity #2345 #2351]: #2353 -#2357 := [monotonicity #2354]: #2356 -#2360 := [monotonicity #2357]: #2359 -#2363 := [monotonicity #2360]: #2362 -#2383 := [monotonicity #2363 #2380]: #2382 -#2386 := [monotonicity #2383]: #2385 -#2318 := (iff #1784 #2317) -#2315 := (iff #1590 #2312) -#2313 := (iff #1585 #1585) -#2314 := [refl]: #2313 -#2316 := [quant-intro #2314]: #2315 -#2319 := [monotonicity #2316]: #2318 -#2310 := (iff #1783 #2309) -#2307 := (iff #1568 #2304) -#2305 := (iff #1563 #1563) -#2306 := [refl]: #2305 -#2308 := [quant-intro #2306]: #2307 -#2311 := [monotonicity #2308]: #2310 -#2389 := [monotonicity #2311 #2319 #2386]: #2388 -#2392 := [monotonicity #2389]: #2391 -#2395 := [monotonicity #2392]: #2394 -#1304 := (not #1303) -#1481 := (and #1304 #1305) -#1484 := (not #1481) -#1500 := (or #1484 #1495) -#1503 := (not #1500) -#1283 := (not #1282) -#1472 := (and #1283 #1284) -#1475 := (not #1472) -#1478 := (or #1469 #1475) -#1506 := (and #1478 #1503) -#1273 := (not #963) -#1276 := (forall (vars (?x7 int)) #1273) -#1509 := (or #1276 #1506) -#1515 := (and #466 #469 #472 #776 #779 #926 #1509) -#1401 := (not #1396) -#1404 := (and #1192 #1401) -#1407 := (not #1404) -#1410 := (or #1383 #1407) -#1413 := (not #1410) -#1204 := (not #221) -#1214 := (and #1204 #819) -#1419 := (or #1214 #1413) -#1447 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1419) -#1431 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1419) -#1452 := (or #1431 #1447) -#1458 := (and #776 #779 #927 #1452) -#1520 := (or #1458 #1515) -#1526 := (and #188 #769 #776 #779 #1043 #1520) -#1348 := (and #1155 #1157) -#1351 := (not #1348) -#1357 := (or #1154 #1351) -#1362 := (not #1357) -#1531 := (or #1362 #1526) -#1828 := (iff #1531 #1825) -#1746 := (or #1303 #1731 #1495) -#1758 := (or #1757 #1746) -#1759 := (not #1758) -#1764 := (or #1708 #1759) -#1770 := (not #1764) -#1771 := (or #560 #551 #542 #886 #1654 #927 #1770) -#1772 := (not #1771) -#1777 := (or #1681 #1772) -#1785 := (not #1777) -#1786 := (or #619 #886 #1654 #1783 #1784 #1785) -#1787 := (not #1786) -#1792 := (or #1545 #1787) -#1826 := (iff #1792 #1825) -#1823 := (iff #1787 #1822) -#1820 := (iff #1786 #1819) -#1817 := (iff #1785 #1816) -#1814 := (iff #1777 #1813) -#1811 := (iff #1772 #1810) -#1808 := (iff #1771 #1807) -#1805 := (iff #1770 #1804) -#1802 := (iff #1764 #1801) -#1799 := (iff #1759 #1798) -#1796 := (iff #1758 #1795) -#1797 := [rewrite]: #1796 -#1800 := [monotonicity #1797]: #1799 -#1803 := [monotonicity #1800]: #1802 -#1806 := [monotonicity #1803]: #1805 -#1809 := [monotonicity #1806]: #1808 -#1812 := [monotonicity #1809]: #1811 -#1815 := [monotonicity #1812]: #1814 -#1818 := [monotonicity #1815]: #1817 -#1821 := [monotonicity #1818]: #1820 -#1824 := [monotonicity #1821]: #1823 -#1827 := [monotonicity #1824]: #1826 -#1793 := (iff #1531 #1792) -#1790 := (iff #1526 #1787) -#1780 := (and #188 #1568 #776 #779 #1590 #1777) -#1788 := (iff #1780 #1787) -#1789 := [rewrite]: #1788 -#1781 := (iff #1526 #1780) -#1778 := (iff #1520 #1777) -#1775 := (iff #1515 #1772) -#1767 := (and #466 #469 #472 #776 #779 #926 #1764) -#1773 := (iff #1767 #1772) -#1774 := [rewrite]: #1773 -#1768 := (iff #1515 #1767) -#1765 := (iff #1509 #1764) -#1762 := (iff #1506 #1759) -#1751 := (not #1746) -#1754 := (and #1726 #1751) -#1760 := (iff #1754 #1759) -#1761 := [rewrite]: #1760 -#1755 := (iff #1506 #1754) -#1752 := (iff #1503 #1751) -#1749 := (iff #1500 #1746) -#1732 := (or #1303 #1731) -#1743 := (or #1732 #1495) -#1747 := (iff #1743 #1746) -#1748 := [rewrite]: #1747 -#1744 := (iff #1500 #1743) -#1741 := (iff #1484 #1732) -#1733 := (not #1732) -#1736 := (not #1733) -#1739 := (iff #1736 #1732) -#1740 := [rewrite]: #1739 -#1737 := (iff #1484 #1736) -#1734 := (iff #1481 #1733) -#1735 := [rewrite]: #1734 -#1738 := [monotonicity #1735]: #1737 -#1742 := [trans #1738 #1740]: #1741 -#1745 := [monotonicity #1742]: #1744 -#1750 := [trans #1745 #1748]: #1749 -#1753 := [monotonicity #1750]: #1752 -#1729 := (iff #1478 #1726) -#1712 := (or #1282 #1711) -#1723 := (or #1469 #1712) -#1727 := (iff #1723 #1726) -#1728 := [rewrite]: #1727 -#1724 := (iff #1478 #1723) -#1721 := (iff #1475 #1712) -#1713 := (not #1712) -#1716 := (not #1713) -#1719 := (iff #1716 #1712) -#1720 := [rewrite]: #1719 -#1717 := (iff #1475 #1716) -#1714 := (iff #1472 #1713) -#1715 := [rewrite]: #1714 -#1718 := [monotonicity #1715]: #1717 -#1722 := [trans #1718 #1720]: #1721 -#1725 := [monotonicity #1722]: #1724 -#1730 := [trans #1725 #1728]: #1729 -#1756 := [monotonicity #1730 #1753]: #1755 -#1763 := [trans #1756 #1761]: #1762 -#1709 := (iff #1276 #1708) -#1706 := (iff #1273 #1705) -#1703 := (iff #963 #1700) -#1686 := (or #1548 #953) -#1697 := (or #105 #1686) -#1701 := (iff #1697 #1700) -#1702 := [rewrite]: #1701 -#1698 := (iff #963 #1697) -#1695 := (iff #960 #1686) -#1687 := (not #1686) -#1690 := (not #1687) -#1693 := (iff #1690 #1686) -#1694 := [rewrite]: #1693 -#1691 := (iff #960 #1690) -#1688 := (iff #957 #1687) -#1689 := [rewrite]: #1688 -#1692 := [monotonicity #1689]: #1691 -#1696 := [trans #1692 #1694]: #1695 -#1699 := [monotonicity #1696]: #1698 -#1704 := [trans #1699 #1702]: #1703 -#1707 := [monotonicity #1704]: #1706 -#1710 := [quant-intro #1707]: #1709 -#1766 := [monotonicity #1710 #1763]: #1765 -#1769 := [monotonicity #1766]: #1768 -#1776 := [trans #1769 #1774]: #1775 -#1684 := (iff #1458 #1681) -#1676 := (and #776 #779 #927 #1673) -#1682 := (iff #1676 #1681) -#1683 := [rewrite]: #1682 -#1677 := (iff #1458 #1676) -#1674 := (iff #1452 #1673) -#1671 := (iff #1447 #1668) -#1664 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1648) -#1669 := (iff #1664 #1668) -#1670 := [rewrite]: #1669 -#1665 := (iff #1447 #1664) -#1649 := (iff #1419 #1648) -#1646 := (iff #1413 #1645) -#1643 := (iff #1410 #1640) -#1626 := (or #1625 #1396) -#1637 := (or #1383 #1626) -#1641 := (iff #1637 #1640) -#1642 := [rewrite]: #1641 -#1638 := (iff #1410 #1637) -#1635 := (iff #1407 #1626) -#1627 := (not #1626) -#1630 := (not #1627) -#1633 := (iff #1630 #1626) -#1634 := [rewrite]: #1633 -#1631 := (iff #1407 #1630) -#1628 := (iff #1404 #1627) -#1629 := [rewrite]: #1628 -#1632 := [monotonicity #1629]: #1631 -#1636 := [trans #1632 #1634]: #1635 -#1639 := [monotonicity #1636]: #1638 -#1644 := [trans #1639 #1642]: #1643 -#1647 := [monotonicity #1644]: #1646 -#1623 := (iff #1214 #1620) -#1615 := (and #1204 #1612) -#1621 := (iff #1615 #1620) -#1622 := [rewrite]: #1621 -#1616 := (iff #1214 #1615) -#1613 := (iff #819 #1612) -#1610 := (iff #816 #1607) -#1593 := (or #1548 #805) -#1604 := (or #801 #1593) -#1608 := (iff #1604 #1607) -#1609 := [rewrite]: #1608 -#1605 := (iff #816 #1604) -#1602 := (iff #813 #1593) -#1594 := (not #1593) -#1597 := (not #1594) -#1600 := (iff #1597 #1593) -#1601 := [rewrite]: #1600 -#1598 := (iff #813 #1597) -#1595 := (iff #810 #1594) -#1596 := [rewrite]: #1595 -#1599 := [monotonicity #1596]: #1598 -#1603 := [trans #1599 #1601]: #1602 -#1606 := [monotonicity #1603]: #1605 -#1611 := [trans #1606 #1609]: #1610 -#1614 := [quant-intro #1611]: #1613 -#1617 := [monotonicity #1614]: #1616 -#1624 := [trans #1617 #1622]: #1623 -#1650 := [monotonicity #1624 #1647]: #1649 -#1666 := [monotonicity #1650]: #1665 -#1672 := [trans #1666 #1670]: #1671 -#1662 := (iff #1431 #1659) -#1651 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1648) -#1660 := (iff #1651 #1659) -#1661 := [rewrite]: #1660 -#1652 := (iff #1431 #1651) -#1653 := [monotonicity #1650]: #1652 -#1663 := [trans #1653 #1661]: #1662 -#1675 := [monotonicity #1663 #1672]: #1674 -#1678 := [monotonicity #1675]: #1677 -#1685 := [trans #1678 #1683]: #1684 -#1779 := [monotonicity #1685 #1776]: #1778 -#1591 := (iff #1043 #1590) -#1588 := (iff #1040 #1585) -#1571 := (or #1548 #1029) -#1582 := (or #1026 #1571) -#1586 := (iff #1582 #1585) -#1587 := [rewrite]: #1586 -#1583 := (iff #1040 #1582) -#1580 := (iff #1037 #1571) -#1572 := (not #1571) -#1575 := (not #1572) -#1578 := (iff #1575 #1571) -#1579 := [rewrite]: #1578 -#1576 := (iff #1037 #1575) -#1573 := (iff #1034 #1572) -#1574 := [rewrite]: #1573 -#1577 := [monotonicity #1574]: #1576 -#1581 := [trans #1577 #1579]: #1580 -#1584 := [monotonicity #1581]: #1583 -#1589 := [trans #1584 #1587]: #1588 -#1592 := [quant-intro #1589]: #1591 -#1569 := (iff #769 #1568) -#1566 := (iff #766 #1563) -#1549 := (or #749 #1548) -#1560 := (or #1549 #762) -#1564 := (iff #1560 #1563) -#1565 := [rewrite]: #1564 -#1561 := (iff #766 #1560) -#1558 := (iff #757 #1549) -#1550 := (not #1549) -#1553 := (not #1550) -#1556 := (iff #1553 #1549) -#1557 := [rewrite]: #1556 -#1554 := (iff #757 #1553) -#1551 := (iff #754 #1550) -#1552 := [rewrite]: #1551 -#1555 := [monotonicity #1552]: #1554 -#1559 := [trans #1555 #1557]: #1558 -#1562 := [monotonicity #1559]: #1561 -#1567 := [trans #1562 #1565]: #1566 -#1570 := [quant-intro #1567]: #1569 -#1782 := [monotonicity #1570 #1592 #1779]: #1781 -#1791 := [trans #1782 #1789]: #1790 -#1546 := (iff #1362 #1545) -#1543 := (iff #1357 #1540) -#1165 := (or #1164 #1156) -#1537 := (or #1154 #1165) -#1541 := (iff #1537 #1540) -#1542 := [rewrite]: #1541 -#1538 := (iff #1357 #1537) -#1535 := (iff #1351 #1165) -#1292 := (not #1165) -#1314 := (not #1292) -#1347 := (iff #1314 #1165) -#1534 := [rewrite]: #1347 -#1202 := (iff #1351 #1314) -#1293 := (iff #1348 #1292) -#1313 := [rewrite]: #1293 -#1203 := [monotonicity #1313]: #1202 -#1536 := [trans #1203 #1534]: #1535 -#1539 := [monotonicity #1536]: #1538 -#1544 := [trans #1539 #1542]: #1543 -#1547 := [monotonicity #1544]: #1546 -#1794 := [monotonicity #1547 #1791]: #1793 -#1829 := [trans #1794 #1827]: #1828 -#1299 := (+ #1298 #972) -#1300 := (<= #1299 0::int) -#1306 := (and #1305 #1304) -#1307 := (not #1306) -#1308 := (or #1307 #1300) -#1309 := (not #1308) -#1285 := (and #1284 #1283) -#1286 := (not #1285) -#1288 := (= #1287 uf_12) -#1289 := (or #1288 #1286) -#1315 := (and #1289 #1309) -#1319 := (or #1276 #1315) -#1176 := (not #784) -#1268 := (not #542) -#1265 := (not #551) -#1262 := (not #560) -#1323 := (and #1262 #1265 #1268 #1176 #930 #1319) -#1225 := (not #846) -#1222 := (not #840) -#1189 := (+ ?x3!1 #806) -#1190 := (>= #1189 0::int) -#1191 := (not #1190) -#1193 := (and #1192 #1191) -#1194 := (not #1193) -#1196 := (+ #1195 #799) -#1197 := (<= #1196 0::int) -#1198 := (or #1197 #1194) -#1199 := (not #1198) -#1218 := (or #1199 #1214) -#1185 := (not #796) -#1243 := (not #886) -#1240 := (not #376) -#1237 := (not #401) -#1234 := (not #367) -#1248 := (and #1234 #1237 #1240 #1243 #1176 #1185 #1218 #1222 #1225 #854) -#1182 := (not #301) -#1179 := (not #310) -#1230 := (and #1179 #1182 #1176 #1185 #1218 #1222 #1225 #891) -#1252 := (or #1230 #1248) -#1258 := (and #1176 #1252 #927) -#1327 := (or #1258 #1323) -#1166 := (not #619) -#1338 := (and #1166 #769 #1176 #1327 #1043) -#1158 := (and #1157 #1155) -#1159 := (not #1158) -#1160 := (or #1159 #1154) -#1161 := (not #1160) -#1342 := (or #1161 #1338) -#1532 := (iff #1342 #1531) -#1529 := (iff #1338 #1526) -#1523 := (and #188 #769 #781 #1520 #1043) -#1527 := (iff #1523 #1526) -#1528 := [rewrite]: #1527 -#1524 := (iff #1338 #1523) -#1521 := (iff #1327 #1520) -#1518 := (iff #1323 #1515) -#1512 := (and #466 #469 #472 #781 #926 #1509) -#1516 := (iff #1512 #1515) -#1517 := [rewrite]: #1516 -#1513 := (iff #1323 #1512) -#1510 := (iff #1319 #1509) -#1507 := (iff #1315 #1506) -#1504 := (iff #1309 #1503) -#1501 := (iff #1308 #1500) -#1498 := (iff #1300 #1495) -#1487 := (+ #972 #1298) -#1490 := (<= #1487 0::int) -#1496 := (iff #1490 #1495) -#1497 := [rewrite]: #1496 -#1491 := (iff #1300 #1490) -#1488 := (= #1299 #1487) -#1489 := [rewrite]: #1488 -#1492 := [monotonicity #1489]: #1491 -#1499 := [trans #1492 #1497]: #1498 -#1485 := (iff #1307 #1484) -#1482 := (iff #1306 #1481) -#1483 := [rewrite]: #1482 -#1486 := [monotonicity #1483]: #1485 -#1502 := [monotonicity #1486 #1499]: #1501 -#1505 := [monotonicity #1502]: #1504 -#1479 := (iff #1289 #1478) -#1476 := (iff #1286 #1475) -#1473 := (iff #1285 #1472) -#1474 := [rewrite]: #1473 -#1477 := [monotonicity #1474]: #1476 -#1470 := (iff #1288 #1469) -#1471 := [rewrite]: #1470 -#1480 := [monotonicity #1471 #1477]: #1479 -#1508 := [monotonicity #1480 #1505]: #1507 -#1511 := [monotonicity #1508]: #1510 -#1367 := (iff #1176 #781) -#1368 := [rewrite]: #1367 -#1467 := (iff #1268 #472) -#1468 := [rewrite]: #1467 -#1465 := (iff #1265 #469) -#1466 := [rewrite]: #1465 -#1463 := (iff #1262 #466) -#1464 := [rewrite]: #1463 -#1514 := [monotonicity #1464 #1466 #1468 #1368 #934 #1511]: #1513 -#1519 := [trans #1514 #1517]: #1518 -#1461 := (iff #1258 #1458) -#1455 := (and #781 #1452 #927) -#1459 := (iff #1455 #1458) -#1460 := [rewrite]: #1459 -#1456 := (iff #1258 #1455) -#1453 := (iff #1252 #1452) -#1450 := (iff #1248 #1447) -#1444 := (and #82 #356 #361 #776 #781 #793 #1419 #837 #843 #854) -#1448 := (iff #1444 #1447) -#1449 := [rewrite]: #1448 -#1445 := (iff #1248 #1444) -#1426 := (iff #1225 #843) -#1427 := [rewrite]: #1426 -#1424 := (iff #1222 #837) -#1425 := [rewrite]: #1424 -#1422 := (iff #1218 #1419) -#1416 := (or #1413 #1214) -#1420 := (iff #1416 #1419) -#1421 := [rewrite]: #1420 -#1417 := (iff #1218 #1416) -#1414 := (iff #1199 #1413) -#1411 := (iff #1198 #1410) -#1408 := (iff #1194 #1407) -#1405 := (iff #1193 #1404) -#1402 := (iff #1191 #1401) -#1399 := (iff #1190 #1396) -#1388 := (+ #806 ?x3!1) -#1391 := (>= #1388 0::int) -#1397 := (iff #1391 #1396) -#1398 := [rewrite]: #1397 -#1392 := (iff #1190 #1391) -#1389 := (= #1189 #1388) -#1390 := [rewrite]: #1389 -#1393 := [monotonicity #1390]: #1392 -#1400 := [trans #1393 #1398]: #1399 -#1403 := [monotonicity #1400]: #1402 -#1406 := [monotonicity #1403]: #1405 -#1409 := [monotonicity #1406]: #1408 -#1386 := (iff #1197 #1383) -#1375 := (+ #799 #1195) -#1378 := (<= #1375 0::int) -#1384 := (iff #1378 #1383) -#1385 := [rewrite]: #1384 -#1379 := (iff #1197 #1378) -#1376 := (= #1196 #1375) -#1377 := [rewrite]: #1376 -#1380 := [monotonicity #1377]: #1379 -#1387 := [trans #1380 #1385]: #1386 -#1412 := [monotonicity #1387 #1409]: #1411 -#1415 := [monotonicity #1412]: #1414 -#1418 := [monotonicity #1415]: #1417 -#1423 := [trans #1418 #1421]: #1422 -#1373 := (iff #1185 #793) -#1374 := [rewrite]: #1373 -#1442 := (iff #1243 #776) -#1443 := [rewrite]: #1442 -#1440 := (iff #1240 #361) -#1441 := [rewrite]: #1440 -#1438 := (iff #1237 #356) -#1439 := [rewrite]: #1438 -#1436 := (iff #1234 #82) -#1437 := [rewrite]: #1436 -#1446 := [monotonicity #1437 #1439 #1441 #1443 #1368 #1374 #1423 #1425 #1427]: #1445 -#1451 := [trans #1446 #1449]: #1450 -#1434 := (iff #1230 #1431) -#1428 := (and #191 #194 #781 #793 #1419 #837 #843 #850) -#1432 := (iff #1428 #1431) -#1433 := [rewrite]: #1432 -#1429 := (iff #1230 #1428) -#1371 := (iff #1182 #194) -#1372 := [rewrite]: #1371 -#1369 := (iff #1179 #191) -#1370 := [rewrite]: #1369 -#1430 := [monotonicity #1370 #1372 #1368 #1374 #1423 #1425 #1427 #895]: #1429 -#1435 := [trans #1430 #1433]: #1434 -#1454 := [monotonicity #1435 #1451]: #1453 -#1457 := [monotonicity #1368 #1454]: #1456 -#1462 := [trans #1457 #1460]: #1461 -#1522 := [monotonicity #1462 #1519]: #1521 -#1365 := (iff #1166 #188) -#1366 := [rewrite]: #1365 -#1525 := [monotonicity #1366 #1368 #1522]: #1524 -#1530 := [trans #1525 #1528]: #1529 -#1363 := (iff #1161 #1362) -#1360 := (iff #1160 #1357) -#1354 := (or #1351 #1154) -#1358 := (iff #1354 #1357) -#1359 := [rewrite]: #1358 -#1355 := (iff #1160 #1354) -#1352 := (iff #1159 #1351) -#1349 := (iff #1158 #1348) -#1350 := [rewrite]: #1349 -#1353 := [monotonicity #1350]: #1352 -#1356 := [monotonicity #1353]: #1355 -#1361 := [trans #1356 #1359]: #1360 -#1364 := [monotonicity #1361]: #1363 -#1533 := [monotonicity #1364 #1530]: #1532 -#1138 := (or #619 #772 #784 #1021 #1046) -#1143 := (and #769 #1138) -#1146 := (not #1143) -#1343 := (~ #1146 #1342) -#1339 := (not #1138) -#1340 := (~ #1339 #1338) -#1335 := (not #1046) -#1336 := (~ #1335 #1043) -#1333 := (~ #1043 #1043) -#1331 := (~ #1040 #1040) -#1332 := [refl]: #1331 -#1334 := [nnf-pos #1332]: #1333 -#1337 := [nnf-neg #1334]: #1336 -#1328 := (not #1021) -#1329 := (~ #1328 #1327) -#1324 := (not #1016) -#1325 := (~ #1324 #1323) -#1320 := (not #991) -#1321 := (~ #1320 #1319) -#1316 := (not #988) -#1317 := (~ #1316 #1315) -#1310 := (not #985) -#1311 := (~ #1310 #1309) -#1312 := [sk]: #1311 -#1294 := (not #969) -#1295 := (~ #1294 #1289) -#1290 := (~ #966 #1289) -#1291 := [sk]: #1290 -#1296 := [nnf-neg #1291]: #1295 -#1318 := [nnf-neg #1296 #1312]: #1317 -#1277 := (~ #969 #1276) -#1274 := (~ #1273 #1273) -#1275 := [refl]: #1274 -#1278 := [nnf-neg #1275]: #1277 -#1322 := [nnf-neg #1278 #1318]: #1321 -#1271 := (~ #930 #930) -#1272 := [refl]: #1271 -#1177 := (~ #1176 #1176) -#1178 := [refl]: #1177 -#1269 := (~ #1268 #1268) -#1270 := [refl]: #1269 -#1266 := (~ #1265 #1265) -#1267 := [refl]: #1266 -#1263 := (~ #1262 #1262) -#1264 := [refl]: #1263 -#1326 := [nnf-neg #1264 #1267 #1270 #1178 #1272 #1322]: #1325 -#1259 := (not #946) -#1260 := (~ #1259 #1258) -#1256 := (~ #927 #927) -#1257 := [refl]: #1256 -#1253 := (not #921) -#1254 := (~ #1253 #1252) -#1249 := (not #916) -#1250 := (~ #1249 #1248) -#1246 := (~ #854 #854) -#1247 := [refl]: #1246 -#1226 := (~ #1225 #1225) -#1227 := [refl]: #1226 -#1223 := (~ #1222 #1222) -#1224 := [refl]: #1223 -#1219 := (not #833) -#1220 := (~ #1219 #1218) -#1215 := (not #828) -#1216 := (~ #1215 #1214) -#1211 := (not #822) -#1212 := (~ #1211 #819) -#1209 := (~ #819 #819) -#1207 := (~ #816 #816) -#1208 := [refl]: #1207 -#1210 := [nnf-pos #1208]: #1209 -#1213 := [nnf-neg #1210]: #1212 -#1205 := (~ #1204 #1204) -#1206 := [refl]: #1205 -#1217 := [nnf-neg #1206 #1213]: #1216 -#1200 := (~ #822 #1199) -#1201 := [sk]: #1200 -#1221 := [nnf-neg #1201 #1217]: #1220 -#1186 := (~ #1185 #1185) -#1187 := [refl]: #1186 -#1244 := (~ #1243 #1243) -#1245 := [refl]: #1244 -#1241 := (~ #1240 #1240) -#1242 := [refl]: #1241 -#1238 := (~ #1237 #1237) -#1239 := [refl]: #1238 -#1235 := (~ #1234 #1234) -#1236 := [refl]: #1235 -#1251 := [nnf-neg #1236 #1239 #1242 #1245 #1178 #1187 #1221 #1224 #1227 #1247]: #1250 -#1231 := (not #881) -#1232 := (~ #1231 #1230) -#1228 := (~ #891 #891) -#1229 := [refl]: #1228 -#1183 := (~ #1182 #1182) -#1184 := [refl]: #1183 -#1180 := (~ #1179 #1179) -#1181 := [refl]: #1180 -#1233 := [nnf-neg #1181 #1184 #1178 #1187 #1221 #1224 #1227 #1229]: #1232 -#1255 := [nnf-neg #1233 #1251]: #1254 -#1261 := [nnf-neg #1178 #1255 #1257]: #1260 -#1330 := [nnf-neg #1261 #1326]: #1329 -#1173 := (not #772) -#1174 := (~ #1173 #769) -#1171 := (~ #769 #769) -#1169 := (~ #766 #766) -#1170 := [refl]: #1169 -#1172 := [nnf-pos #1170]: #1171 -#1175 := [nnf-neg #1172]: #1174 -#1167 := (~ #1166 #1166) -#1168 := [refl]: #1167 -#1341 := [nnf-neg #1168 #1175 #1178 #1330 #1337]: #1340 -#1162 := (~ #772 #1161) -#1163 := [sk]: #1162 -#1344 := [nnf-neg #1163 #1341]: #1343 -#1110 := (not #1075) -#1147 := (iff #1110 #1146) -#1144 := (iff #1075 #1143) -#1141 := (iff #1072 #1138) -#1123 := (or #619 #784 #1021 #1046) -#1135 := (or #772 #1123) -#1139 := (iff #1135 #1138) -#1140 := [rewrite]: #1139 -#1136 := (iff #1072 #1135) -#1133 := (iff #1069 #1123) -#1128 := (and true #1123) -#1131 := (iff #1128 #1123) -#1132 := [rewrite]: #1131 -#1129 := (iff #1069 #1128) -#1126 := (iff #1064 #1123) -#1120 := (or false #619 #784 #1021 #1046) -#1124 := (iff #1120 #1123) -#1125 := [rewrite]: #1124 -#1121 := (iff #1064 #1120) -#1118 := (iff #652 false) -#1116 := (iff #652 #740) -#1115 := (iff #9 true) -#1113 := [iff-true #1109]: #1115 -#1117 := [monotonicity #1113]: #1116 -#1119 := [trans #1117 #744]: #1118 -#1122 := [monotonicity #1119]: #1121 -#1127 := [trans #1122 #1125]: #1126 -#1130 := [monotonicity #1113 #1127]: #1129 -#1134 := [trans #1130 #1132]: #1133 -#1137 := [monotonicity #1134]: #1136 -#1142 := [trans #1137 #1140]: #1141 -#1145 := [monotonicity #1142]: #1144 -#1148 := [monotonicity #1145]: #1147 -#1111 := [not-or-elim #1108]: #1110 -#1149 := [mp #1111 #1148]: #1146 -#1345 := [mp~ #1149 #1344]: #1342 -#1346 := [mp #1345 #1533]: #1531 -#1830 := [mp #1346 #1829]: #1825 -#2396 := [mp #1830 #2395]: #2393 -#1909 := [unit-resolution #2396 #2199]: #2390 -#2214 := (or #2387 #2381) -#2210 := [def-axiom]: #2214 -#2414 := [unit-resolution #2210 #1909]: #2381 -#2426 := (uf_3 uf_11) -#2430 := (= uf_12 #2426) -#2480 := (= #36 #2426) -#2478 := (= #2426 #36) -#2463 := [hypothesis]: #2378 -#2138 := (or #2375 #466) -#2139 := [def-axiom]: #2138 -#2474 := [unit-resolution #2139 #2463]: #466 -#2475 := [symm #2474]: #98 -#2479 := [monotonicity #2475]: #2478 -#2481 := [symm #2479]: #2480 -#2482 := (= uf_12 #36) -#2221 := (or #2387 #188) -#2222 := [def-axiom]: #2221 -#2476 := [unit-resolution #2222 #1909]: #188 -#2132 := (or #2375 #469) -#2140 := [def-axiom]: #2132 -#2466 := [unit-resolution #2140 #2463]: #469 -#2477 := [symm #2466]: #100 -#2483 := [trans #2477 #2476]: #2482 -#2484 := [trans #2483 #2481]: #2430 -#2458 := (not #2430) -#2424 := (>= uf_11 0::int) -#2425 := (not #2424) -#2421 := (* -1::int uf_11) -#2422 := (+ uf_1 #2421) -#2423 := (<= #2422 0::int) -#2436 := (or #2423 #2425 #2430) -#2441 := (not #2436) -#2227 := (or #2375 #2369) -#2219 := [def-axiom]: #2227 -#2464 := [unit-resolution #2219 #2463]: #2369 -#2238 := (or #2375 #926) -#2225 := [def-axiom]: #2238 -#2465 := [unit-resolution #2225 #2463]: #926 -#2031 := (+ uf_6 #972) -#2032 := (<= #2031 0::int) -#2467 := (or #551 #2032) -#2468 := [th-lemma]: #2467 -#2469 := [unit-resolution #2468 #2466]: #2032 -#1925 := (not #2032) -#1915 := (or #1795 #1925 #927) -#2004 := (+ uf_4 #1301) -#2005 := (<= #2004 0::int) -#1918 := (not #2005) -#1910 := [hypothesis]: #926 -#1911 := [hypothesis]: #1798 -#2086 := (or #1795 #1304) -#2239 := [def-axiom]: #2086 -#1916 := [unit-resolution #2239 #1911]: #1304 -#1919 := (or #1918 #927 #1303) -#1921 := [th-lemma]: #1919 -#1917 := [unit-resolution #1921 #1916 #1910]: #1918 -#2021 := (+ uf_6 #1493) -#2022 := (>= #2021 0::int) -#1930 := (not #2022) -#1936 := [hypothesis]: #2032 -#2243 := (not #1495) -#2241 := (or #1795 #2243) -#2244 := [def-axiom]: #2241 -#1922 := [unit-resolution #2244 #1911]: #2243 -#1931 := (or #1930 #1495 #1925) -#1924 := [hypothesis]: #2243 -#1926 := [hypothesis]: #2022 -#1927 := [th-lemma #1926 #1924 #1936]: false -#1906 := [lemma #1927]: #1931 -#1905 := [unit-resolution #1906 #1922 #1936]: #1930 -#1913 := (or #2005 #2022) -#2240 := (or #1795 #1305) -#2242 := [def-axiom]: #2240 -#1908 := [unit-resolution #2242 #1911]: #1305 -#2212 := (or #2387 #2312) -#2213 := [def-axiom]: #2212 -#1912 := [unit-resolution #2213 #1909]: #2312 -#1994 := (or #2317 #1731 #2005 #2022) -#2034 := (+ ?x8!3 #924) -#2035 := (>= #2034 0::int) -#2036 := (+ #1298 #1024) -#2037 := (<= #2036 0::int) -#2026 := (or #1731 #2037 #2035) -#1961 := (or #2317 #2026) -#1971 := (iff #1961 #1994) -#1991 := (or #1731 #2005 #2022) -#1964 := (or #2317 #1991) -#1969 := (iff #1964 #1994) -#1970 := [rewrite]: #1969 -#1955 := (iff #1961 #1964) -#1993 := (iff #2026 #1991) -#2008 := (or #1731 #2022 #2005) -#1983 := (iff #2008 #1991) -#1992 := [rewrite]: #1983 -#1989 := (iff #2026 #2008) -#2007 := (iff #2035 #2005) -#2010 := (+ #924 ?x8!3) -#2012 := (>= #2010 0::int) -#1997 := (iff #2012 #2005) -#2006 := [rewrite]: #1997 -#2014 := (iff #2035 #2012) -#2011 := (= #2034 #2010) -#2013 := [rewrite]: #2011 -#2003 := [monotonicity #2013]: #2014 -#1998 := [trans #2003 #2006]: #2007 -#2024 := (iff #2037 #2022) -#2038 := (+ #1024 #1298) -#2018 := (<= #2038 0::int) -#2023 := (iff #2018 #2022) -#2016 := [rewrite]: #2023 -#2019 := (iff #2037 #2018) -#2015 := (= #2036 #2038) -#2017 := [rewrite]: #2015 -#2020 := [monotonicity #2017]: #2019 -#2009 := [trans #2020 #2016]: #2024 -#1990 := [monotonicity #2009 #1998]: #1989 -#1984 := [trans #1990 #1992]: #1993 -#1968 := [monotonicity #1984]: #1955 -#1972 := [trans #1968 #1970]: #1971 -#1963 := [quant-inst]: #1961 -#1962 := [mp #1963 #1972]: #1994 -#1914 := [unit-resolution #1962 #1912 #1908]: #1913 -#1907 := [unit-resolution #1914 #1905 #1917]: false -#1900 := [lemma #1907]: #1915 -#2470 := [unit-resolution #1900 #2469 #2465]: #1795 -#2121 := (or #2372 #2364 #1798) -#2136 := [def-axiom]: #2121 -#2471 := [unit-resolution #2136 #2470 #2464]: #2364 -#2235 := (not #2364) -#2444 := (or #2235 #2441) -#2427 := (= #2426 uf_12) -#2428 := (or #2427 #2425 #2423) -#2429 := (not #2428) -#2445 := (or #2235 #2429) -#2447 := (iff #2445 #2444) -#2449 := (iff #2444 #2444) -#2450 := [rewrite]: #2449 -#2442 := (iff #2429 #2441) -#2439 := (iff #2428 #2436) -#2433 := (or #2430 #2425 #2423) -#2437 := (iff #2433 #2436) -#2438 := [rewrite]: #2437 -#2434 := (iff #2428 #2433) -#2431 := (iff #2427 #2430) -#2432 := [rewrite]: #2431 -#2435 := [monotonicity #2432]: #2434 -#2440 := [trans #2435 #2438]: #2439 -#2443 := [monotonicity #2440]: #2442 -#2448 := [monotonicity #2443]: #2447 -#2451 := [trans #2448 #2450]: #2447 -#2446 := [quant-inst]: #2445 -#2452 := [mp #2446 #2451]: #2444 -#2472 := [unit-resolution #2452 #2471]: #2441 -#2459 := (or #2436 #2458) -#2460 := [def-axiom]: #2459 -#2473 := [unit-resolution #2460 #2472]: #2458 -#2485 := [unit-resolution #2473 #2484]: false -#2486 := [lemma #2485]: #2375 -#2231 := (or #2384 #2361 #2378) -#2220 := [def-axiom]: #2231 -#2415 := [unit-resolution #2220 #2486 #2414]: #2361 -#2106 := (or #2358 #2352) -#2248 := [def-axiom]: #2106 -#2416 := [unit-resolution #2248 #2415]: #2352 -#2417 := [hypothesis]: #840 -#2285 := (or #2340 #837) -#1923 := [def-axiom]: #2285 -#2418 := [unit-resolution #1923 #2417]: #2340 -#1987 := (or #2346 #837) -#1988 := [def-axiom]: #1987 -#2419 := [unit-resolution #1988 #2417]: #2346 -#2255 := (or #2355 #2343 #2349) -#2256 := [def-axiom]: #2255 -#2420 := [unit-resolution #2256 #2419 #2418 #2416]: false -#2403 := [lemma #2420]: #837 -#2690 := (or #840 #1977) -#2691 := [th-lemma]: #2690 -#2692 := [unit-resolution #2691 #2403]: #1977 -#2661 := [hypothesis]: #2349 -#2272 := (or #2346 #361) -#2273 := [def-axiom]: #2272 -#2662 := [unit-resolution #2273 #2661]: #361 -#2629 := (= #58 #1195) -#2642 := (not #2629) -#2630 := (+ #58 #1381) -#2632 := (>= #2630 0::int) -#2636 := (not #2632) -#2402 := (+ #39 #799) -#2405 := (<= #2402 0::int) -#2404 := (= #39 uf_8) -#2665 := (= uf_10 uf_8) -#2000 := (or #2346 #82) -#2001 := [def-axiom]: #2000 -#2663 := [unit-resolution #2001 #2661]: #82 -#2666 := [symm #2663]: #2665 -#2002 := (or #2346 #356) -#1896 := [def-axiom]: #2002 -#2664 := [unit-resolution #1896 #2661]: #356 -#2667 := [trans #2664 #2666]: #2404 -#2668 := (not #2404) -#2669 := (or #2668 #2405) -#2670 := [th-lemma]: #2669 -#2671 := [unit-resolution #2670 #2667]: #2405 -#1966 := (not #1383) -#1982 := (or #2346 #2334) -#2264 := [def-axiom]: #1982 -#2672 := [unit-resolution #2264 #2661]: #2334 -#2537 := (= #39 #58) -#2674 := (= #58 #39) -#2673 := [symm #2662]: #81 -#2675 := [monotonicity #2673]: #2674 -#2677 := [symm #2675]: #2537 -#2678 := (= uf_8 #39) -#2676 := [symm #2664]: #79 -#2679 := [trans #2663 #2676]: #2678 -#2680 := [trans #2679 #2677]: #221 -#1981 := (or #2328 #1204) -#1960 := [def-axiom]: #1981 -#2681 := [unit-resolution #1960 #2680]: #2328 -#1953 := (or #2337 #2331 #1645) -#2294 := [def-axiom]: #1953 -#2682 := [unit-resolution #2294 #2681 #2672]: #1645 -#2298 := (or #1640 #1966) -#2299 := [def-axiom]: #2298 -#2683 := [unit-resolution #2299 #2682]: #1966 -#2033 := (* -1::int #58) -#2538 := (+ #39 #2033) -#2540 := (>= #2538 0::int) -#2684 := (not #2537) -#2685 := (or #2684 #2540) -#2686 := [th-lemma]: #2685 -#2687 := [unit-resolution #2686 #2677]: #2540 -#2617 := (not #2405) -#2637 := (not #2540) -#2638 := (or #2636 #2637 #1383 #2617) -#2633 := [hypothesis]: #2632 -#2609 := [hypothesis]: #2405 -#2610 := [hypothesis]: #1966 -#2634 := [hypothesis]: #2540 -#2635 := [th-lemma #2634 #2610 #2609 #2633]: false -#2639 := [lemma #2635]: #2638 -#2688 := [unit-resolution #2639 #2687 #2683 #2671]: #2636 -#2643 := (or #2642 #2632) -#2644 := [th-lemma]: #2643 -#2689 := [unit-resolution #2644 #2688]: #2642 -#2300 := (or #1640 #1401) -#2301 := [def-axiom]: #2300 -#2693 := [unit-resolution #2301 #2682]: #1401 -#2694 := (not #1977) -#2695 := (or #2628 #1396 #2694) -#2696 := [th-lemma]: #2695 -#2697 := [unit-resolution #2696 #2693 #2692]: #2628 -#2565 := (<= #2564 0::int) -#2552 := (+ uf_6 #1381) -#2553 := (>= #2552 0::int) -#2699 := (not #2553) -#2266 := (or #2346 #854) -#2267 := [def-axiom]: #2266 -#2698 := [unit-resolution #2267 #2661]: #854 -#2700 := (or #2699 #1383 #2617 #850) -#2701 := [th-lemma]: #2700 -#2702 := [unit-resolution #2701 #2683 #2671 #2698]: #2699 -#2704 := (or #2553 #2565) -#2291 := (or #1640 #1192) -#1965 := [def-axiom]: #2291 -#2703 := [unit-resolution #1965 #2682]: #1192 -#2573 := (or #2317 #1625 #2553 #2565) -#2541 := (+ ?x3!1 #924) -#2542 := (>= #2541 0::int) -#2543 := (+ #1195 #1024) -#2544 := (<= #2543 0::int) -#2545 := (or #1625 #2544 #2542) -#2574 := (or #2317 #2545) -#2581 := (iff #2574 #2573) -#2570 := (or #1625 #2553 #2565) -#2576 := (or #2317 #2570) -#2579 := (iff #2576 #2573) -#2580 := [rewrite]: #2579 -#2577 := (iff #2574 #2576) -#2571 := (iff #2545 #2570) -#2568 := (iff #2542 #2565) -#2558 := (+ #924 ?x3!1) -#2561 := (>= #2558 0::int) -#2566 := (iff #2561 #2565) -#2567 := [rewrite]: #2566 -#2562 := (iff #2542 #2561) -#2559 := (= #2541 #2558) -#2560 := [rewrite]: #2559 -#2563 := [monotonicity #2560]: #2562 -#2569 := [trans #2563 #2567]: #2568 -#2556 := (iff #2544 #2553) -#2546 := (+ #1024 #1195) -#2549 := (<= #2546 0::int) -#2554 := (iff #2549 #2553) -#2555 := [rewrite]: #2554 -#2550 := (iff #2544 #2549) -#2547 := (= #2543 #2546) -#2548 := [rewrite]: #2547 -#2551 := [monotonicity #2548]: #2550 -#2557 := [trans #2551 #2555]: #2556 -#2572 := [monotonicity #2557 #2569]: #2571 -#2578 := [monotonicity #2572]: #2577 -#2582 := [trans #2578 #2580]: #2581 -#2575 := [quant-inst]: #2574 -#2583 := [mp #2575 #2582]: #2573 -#2705 := [unit-resolution #2583 #1912 #2703]: #2704 -#2706 := [unit-resolution #2705 #2702]: #2565 -#2708 := (not #2628) -#2707 := (not #2565) -#2709 := (or #2631 #2707 #2708) -#2710 := [th-lemma]: #2709 -#2711 := [unit-resolution #2710 #2706 #2697]: #2631 -#2658 := (not #2631) -#2659 := (or #2658 #2629 #376) -#2654 := (= #1195 #58) -#2652 := (= ?x3!1 uf_7) -#2648 := [hypothesis]: #361 -#2650 := (= ?x3!1 uf_4) -#2649 := [hypothesis]: #2631 -#2651 := [symm #2649]: #2650 -#2653 := [trans #2651 #2648]: #2652 -#2655 := [monotonicity #2653]: #2654 -#2656 := [symm #2655]: #2629 -#2647 := [hypothesis]: #2642 -#2657 := [unit-resolution #2647 #2656]: false -#2660 := [lemma #2657]: #2659 -#2712 := [unit-resolution #2660 #2711 #2689 #2662]: false -#2713 := [lemma #2712]: #2346 -#2766 := [unit-resolution #2256 #2713 #2416]: #2343 -#1928 := (or #2340 #2334) -#1929 := [def-axiom]: #1928 -#2767 := [unit-resolution #1929 #2766]: #2334 -#2515 := (= #36 #58) -#2772 := (= #58 #36) -#1937 := (or #2340 #191) -#2278 := [def-axiom]: #1937 -#2768 := [unit-resolution #2278 #2766]: #191 -#2769 := [symm #2768]: #42 -#2773 := [monotonicity #2769]: #2772 -#2774 := [symm #2773]: #2515 -#2775 := (= uf_8 #36) -#1941 := (or #2340 #194) -#1942 := [def-axiom]: #1941 -#2770 := [unit-resolution #1942 #2766]: #194 -#2771 := [symm #2770]: #44 -#2776 := [trans #2771 #2476]: #2775 -#2777 := [trans #2776 #2774]: #221 -#2778 := [unit-resolution #1960 #2777]: #2328 -#2779 := [unit-resolution #2294 #2778 #2767]: #1645 -#2780 := [unit-resolution #2301 #2779]: #1401 -#2781 := [unit-resolution #2696 #2780 #2692]: #2628 -#2510 := (+ uf_6 #799) -#2511 := (<= #2510 0::int) -#2782 := (or #301 #2511) -#2783 := [th-lemma]: #2782 -#2784 := [unit-resolution #2783 #2770]: #2511 -#2785 := [unit-resolution #2299 #2779]: #1966 -#2786 := (not #2511) -#2787 := (or #2699 #1383 #2786) -#2788 := [th-lemma]: #2787 -#2789 := [unit-resolution #2788 #2785 #2784]: #2699 -#2790 := [unit-resolution #1965 #2779]: #1192 -#2791 := [unit-resolution #2583 #1912 #2790 #2789]: #2565 -#2792 := [unit-resolution #2710 #2791 #2781]: #2631 -#2793 := [monotonicity #2792]: #2762 -#2794 := (not #2762) -#2795 := (or #2794 #2765) -#2796 := [th-lemma]: #2795 -#2797 := [unit-resolution #2796 #2793]: #2765 -#2286 := (or #2340 #850) -#2288 := [def-axiom]: #2286 -#2798 := [unit-resolution #2288 #2766]: #850 -[th-lemma #2798 #2785 #2784 #2797]: false -unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_max --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/Boogie_max Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,19 @@ +(benchmark Isabelle +:extrafuns ( + (uf_5 Int) + (uf_7 Int) + (uf_11 Int) + (uf_4 Int) + (uf_9 Int) + (uf_13 Int) + (uf_2 Int) + (uf_6 Int) + (uf_10 Int) + (uf_8 Int) + (uf_12 Int) + (uf_3 Int Int) + (uf_1 Int) + ) +:assumption (not (implies true (implies (< 0 uf_1) (implies true (implies (= uf_2 (uf_3 0)) (implies (and (<= 1 1) (and (<= 1 1) (and (<= 0 0) (<= 0 0)))) (and (implies (forall (?x1 Int) (implies (and (< ?x1 1) (<= 0 ?x1)) (<= (uf_3 ?x1) uf_2))) (and (implies (= (uf_3 0) uf_2) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (forall (?x2 Int) (implies (and (< ?x2 uf_4) (<= 0 ?x2)) (<= (uf_3 ?x2) uf_6))) (implies (= (uf_3 uf_5) uf_6) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (and (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (< uf_4 uf_1) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (and (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (<= (uf_3 uf_4) uf_6) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies true (implies (= uf_7 uf_5) (implies (= uf_8 uf_6) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_7)) (implies (= uf_9 (+ uf_4 1)) (implies (and (<= 2 uf_9) (<= 0 uf_7)) (implies true (and (implies (forall (?x3 Int) (implies (and (< ?x3 uf_9) (<= 0 ?x3)) (<= (uf_3 ?x3) uf_8))) (and (implies (= (uf_3 uf_7) uf_8) (implies false true)) (= (uf_3 uf_7) uf_8))) (forall (?x4 Int) (implies (and (< ?x4 uf_9) (<= 0 ?x4)) (<= (uf_3 ?x4) uf_8)))))))))))))))) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (< uf_6 (uf_3 uf_4)) (implies (= uf_10 (uf_3 uf_4)) (implies (and (<= 1 uf_4) (<= 1 uf_4)) (implies true (implies (= uf_7 uf_4) (implies (= uf_8 uf_10) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_7)) (implies (= uf_9 (+ uf_4 1)) (implies (and (<= 2 uf_9) (<= 0 uf_7)) (implies true (and (implies (forall (?x5 Int) (implies (and (< ?x5 uf_9) (<= 0 ?x5)) (<= (uf_3 ?x5) uf_8))) (and (implies (= (uf_3 uf_7) uf_8) (implies false true)) (= (uf_3 uf_7) uf_8))) (forall (?x6 Int) (implies (and (< ?x6 uf_9) (<= 0 ?x6)) (<= (uf_3 ?x6) uf_8)))))))))))))))))))))) (implies true (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies (<= uf_1 uf_4) (implies (and (<= 1 uf_4) (<= 0 uf_5)) (implies true (implies (= uf_11 uf_5) (implies (= uf_12 uf_6) (implies (= uf_13 uf_4) (implies true (and (implies (exists (?x7 Int) (implies (and (< ?x7 uf_1) (<= 0 ?x7)) (= (uf_3 ?x7) uf_12))) (and (implies (forall (?x8 Int) (implies (and (< ?x8 uf_1) (<= 0 ?x8)) (<= (uf_3 ?x8) uf_12))) true) (forall (?x9 Int) (implies (and (< ?x9 uf_1) (<= 0 ?x9)) (<= (uf_3 ?x9) uf_12))))) (exists (?x10 Int) (implies (and (< ?x10 uf_1) (<= 0 ?x10)) (= (uf_3 ?x10) uf_12)))))))))))))))))))) (= (uf_3 0) uf_2))) (forall (?x11 Int) (implies (and (< ?x11 1) (<= 0 ?x11)) (<= (uf_3 ?x11) uf_2)))))))))) +:formula true +) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/Boogie_max.proof --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/Boogie_max.proof Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,2329 @@ +#2 := false +#4 := 0::int +decl uf_3 :: (-> int int) +decl ?x3!1 :: int +#1188 := ?x3!1 +#1195 := (uf_3 ?x3!1) +#760 := -1::int +#1381 := (* -1::int #1195) +decl uf_4 :: int +#25 := uf_4 +#39 := (uf_3 uf_4) +#2763 := (+ #39 #1381) +#2765 := (>= #2763 0::int) +#2762 := (= #39 #1195) +#2631 := (= uf_4 ?x3!1) +#1394 := (* -1::int ?x3!1) +#2564 := (+ uf_4 #1394) +#2628 := (>= #2564 0::int) +decl uf_9 :: int +#47 := uf_9 +#806 := (* -1::int uf_9) +#838 := (+ uf_4 #806) +#1977 := (>= #838 -1::int) +#837 := (= #838 -1::int) +#1395 := (+ uf_9 #1394) +#1396 := (<= #1395 0::int) +decl uf_8 :: int +#43 := uf_8 +#1382 := (+ uf_8 #1381) +#1383 := (>= #1382 0::int) +#1192 := (>= ?x3!1 0::int) +#1625 := (not #1192) +#1640 := (or #1625 #1383 #1396) +#1645 := (not #1640) +#16 := (:var 0 int) +#20 := (uf_3 #16) +#2303 := (pattern #20) +#807 := (+ #16 #806) +#805 := (>= #807 0::int) +#799 := (* -1::int uf_8) +#800 := (+ #20 #799) +#801 := (<= #800 0::int) +#753 := (>= #16 0::int) +#1548 := (not #753) +#1607 := (or #1548 #801 #805) +#2320 := (forall (vars (?x3 int)) (:pat #2303) #1607) +#2325 := (not #2320) +decl uf_7 :: int +#41 := uf_7 +#58 := (uf_3 uf_7) +#221 := (= uf_8 #58) +#2328 := (or #221 #2325) +#2331 := (not #2328) +#2334 := (or #2331 #1645) +#2337 := (not #2334) +#851 := (* -1::int #39) +decl uf_6 :: int +#32 := uf_6 +#852 := (+ uf_6 #851) +#850 := (>= #852 0::int) +#840 := (not #837) +#50 := 2::int +#791 := (>= uf_9 2::int) +#1656 := (not #791) +#788 := (>= uf_7 0::int) +#1655 := (not #788) +decl uf_5 :: int +#27 := uf_5 +#779 := (>= uf_5 0::int) +#1654 := (not #779) +#10 := 1::int +#776 := (>= uf_4 1::int) +#886 := (not #776) +#361 := (= uf_4 uf_7) +#376 := (not #361) +decl uf_10 :: int +#78 := uf_10 +#356 := (= #39 uf_10) +#401 := (not #356) +#82 := (= uf_8 uf_10) +#367 := (not #82) +#2346 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #2337) +#2349 := (not #2346) +#854 := (not #850) +#194 := (= uf_6 uf_8) +#301 := (not #194) +#191 := (= uf_5 uf_7) +#310 := (not #191) +#2340 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #2337) +#2343 := (not #2340) +#2352 := (or #2343 #2349) +#2355 := (not #2352) +#924 := (* -1::int uf_4) +decl uf_1 :: int +#5 := uf_1 +#925 := (+ uf_1 #924) +#926 := (<= #925 0::int) +#2358 := (or #886 #1654 #926 #2355) +#2361 := (not #2358) +decl ?x7!2 :: int +#1279 := ?x7!2 +#1287 := (uf_3 ?x7!2) +decl uf_12 :: int +#99 := uf_12 +#1469 := (= uf_12 #1287) +#1284 := (>= ?x7!2 0::int) +#1711 := (not #1284) +#1280 := (* -1::int ?x7!2) +#1281 := (+ uf_1 #1280) +#1282 := (<= #1281 0::int) +#1726 := (or #1282 #1711 #1469) +#1757 := (not #1726) +decl ?x8!3 :: int +#1297 := ?x8!3 +#1298 := (uf_3 ?x8!3) +#1493 := (* -1::int #1298) +#1494 := (+ uf_12 #1493) +#1495 := (>= #1494 0::int) +#1305 := (>= ?x8!3 0::int) +#1731 := (not #1305) +#1301 := (* -1::int ?x8!3) +#1302 := (+ uf_1 #1301) +#1303 := (<= #1302 0::int) +#1795 := (or #1303 #1731 #1495 #1757) +#1798 := (not #1795) +#951 := (* -1::int #16) +#952 := (+ uf_1 #951) +#953 := (<= #952 0::int) +#105 := (= #20 uf_12) +#1700 := (or #105 #1548 #953) +#1705 := (not #1700) +#2364 := (forall (vars (?x7 int)) (:pat #2303) #1705) +#2369 := (or #2364 #1798) +#2372 := (not #2369) +#927 := (not #926) +decl uf_13 :: int +#101 := uf_13 +#472 := (= uf_4 uf_13) +#542 := (not #472) +#469 := (= uf_6 uf_12) +#551 := (not #469) +decl uf_11 :: int +#97 := uf_11 +#466 := (= uf_5 uf_11) +#560 := (not #466) +#2375 := (or #560 #551 #542 #886 #1654 #927 #2372) +#2378 := (not #2375) +#2381 := (or #2361 #2378) +#2384 := (not #2381) +#1030 := (+ #16 #924) +#1029 := (>= #1030 0::int) +#1024 := (* -1::int uf_6) +#1025 := (+ #20 #1024) +#1026 := (<= #1025 0::int) +#1585 := (or #1548 #1026 #1029) +#2312 := (forall (vars (?x2 int)) (:pat #2303) #1585) +#2317 := (not #2312) +#763 := (* -1::int #20) +decl uf_2 :: int +#7 := uf_2 +#764 := (+ uf_2 #763) +#762 := (>= #764 0::int) +#749 := (>= #16 1::int) +#1563 := (or #749 #1548 #762) +#2304 := (forall (vars (?x1 int)) (:pat #2303) #1563) +#2309 := (not #2304) +#36 := (uf_3 uf_5) +#188 := (= uf_6 #36) +#619 := (not #188) +#2387 := (or #619 #886 #1654 #2309 #2317 #2384) +#2390 := (not #2387) +decl ?x1!0 :: int +#1152 := ?x1!0 +#1156 := (>= ?x1!0 1::int) +#1155 := (>= ?x1!0 0::int) +#1164 := (not #1155) +#1153 := (uf_3 ?x1!0) +#1150 := (* -1::int #1153) +#1151 := (+ uf_2 #1150) +#1154 := (>= #1151 0::int) +#1540 := (or #1154 #1164 #1156) +#2202 := (= uf_2 #1153) +#8 := (uf_3 0::int) +#2191 := (= #8 #1153) +#2188 := (= #1153 #8) +#2207 := (= ?x1!0 0::int) +#1157 := (not #1156) +#1545 := (not #1540) +#2205 := [hypothesis]: #1545 +#1976 := (or #1540 #1157) +#1967 := [def-axiom]: #1976 +#2206 := [unit-resolution #1967 #2205]: #1157 +#1975 := (or #1540 #1155) +#1890 := [def-axiom]: #1975 +#2203 := [unit-resolution #1890 #2205]: #1155 +#2187 := [th-lemma #2203 #2206]: #2207 +#2190 := [monotonicity #2187]: #2188 +#2192 := [symm #2190]: #2191 +#9 := (= uf_2 #8) +#1078 := (<= uf_1 0::int) +#1031 := (not #1029) +#1034 := (and #753 #1031) +#1037 := (not #1034) +#1040 := (or #1026 #1037) +#1043 := (forall (vars (?x2 int)) #1040) +#1046 := (not #1043) +#972 := (* -1::int uf_12) +#973 := (+ #20 #972) +#974 := (<= #973 0::int) +#954 := (not #953) +#957 := (and #753 #954) +#960 := (not #957) +#980 := (or #960 #974) +#985 := (forall (vars (?x8 int)) #980) +#963 := (or #105 #960) +#966 := (exists (vars (?x7 int)) #963) +#969 := (not #966) +#988 := (or #969 #985) +#991 := (and #966 #988) +#781 := (and #776 #779) +#784 := (not #781) +#1016 := (or #560 #551 #542 #784 #927 #991) +#843 := (and #776 #788) +#846 := (not #843) +#804 := (not #805) +#810 := (and #753 #804) +#813 := (not #810) +#816 := (or #801 #813) +#819 := (forall (vars (?x3 int)) #816) +#822 := (not #819) +#828 := (or #221 #822) +#833 := (and #819 #828) +#793 := (and #788 #791) +#796 := (not #793) +#916 := (or #367 #401 #376 #886 #784 #796 #833 #840 #846 #850) +#881 := (or #310 #301 #784 #796 #833 #840 #846 #854) +#921 := (and #881 #916) +#946 := (or #784 #921 #926) +#1021 := (and #946 #1016) +#652 := (not #9) +#1064 := (or #652 #619 #784 #1021 #1046) +#1069 := (and #9 #1064) +#747 := (not #749) +#754 := (and #747 #753) +#757 := (not #754) +#766 := (or #757 #762) +#769 := (forall (vars (?x1 int)) #766) +#772 := (not #769) +#1072 := (or #772 #1069) +#1075 := (and #769 #1072) +#1098 := (or #652 #1075 #1078) +#1103 := (not #1098) +#21 := (<= #20 uf_2) +#18 := (<= 0::int #16) +#17 := (< #16 1::int) +#19 := (and #17 #18) +#22 := (implies #19 #21) +#23 := (forall (vars (?x1 int)) #22) +#24 := (= #8 uf_2) +#103 := (< #16 uf_1) +#104 := (and #103 #18) +#106 := (implies #104 #105) +#107 := (exists (vars (?x7 int)) #106) +#108 := (<= #20 uf_12) +#109 := (implies #104 #108) +#110 := (forall (vars (?x8 int)) #109) +#1 := true +#111 := (implies #110 true) +#112 := (and #111 #110) +#113 := (implies #107 #112) +#114 := (and #113 #107) +#115 := (implies true #114) +#102 := (= uf_13 uf_4) +#116 := (implies #102 #115) +#100 := (= uf_12 uf_6) +#117 := (implies #100 #116) +#98 := (= uf_11 uf_5) +#118 := (implies #98 #117) +#119 := (implies true #118) +#28 := (<= 0::int uf_5) +#26 := (<= 1::int uf_4) +#29 := (and #26 #28) +#120 := (implies #29 #119) +#96 := (<= uf_1 uf_4) +#121 := (implies #96 #120) +#122 := (implies #29 #121) +#123 := (implies true #122) +#55 := (<= #20 uf_8) +#53 := (< #16 uf_9) +#54 := (and #53 #18) +#56 := (implies #54 #55) +#57 := (forall (vars (?x3 int)) #56) +#59 := (= #58 uf_8) +#60 := (implies false true) +#61 := (implies #59 #60) +#62 := (and #61 #59) +#63 := (implies #57 #62) +#64 := (and #63 #57) +#65 := (implies true #64) +#45 := (<= 0::int uf_7) +#51 := (<= 2::int uf_9) +#52 := (and #51 #45) +#66 := (implies #52 #65) +#48 := (+ uf_4 1::int) +#49 := (= uf_9 #48) +#67 := (implies #49 #66) +#46 := (and #26 #45) +#68 := (implies #46 #67) +#69 := (implies true #68) +#83 := (implies #82 #69) +#81 := (= uf_7 uf_4) +#84 := (implies #81 #83) +#85 := (implies true #84) +#80 := (and #26 #26) +#86 := (implies #80 #85) +#79 := (= uf_10 #39) +#87 := (implies #79 #86) +#77 := (< uf_6 #39) +#88 := (implies #77 #87) +#89 := (implies #29 #88) +#90 := (implies true #89) +#44 := (= uf_8 uf_6) +#70 := (implies #44 #69) +#42 := (= uf_7 uf_5) +#71 := (implies #42 #70) +#72 := (implies true #71) +#73 := (implies #29 #72) +#40 := (<= #39 uf_6) +#74 := (implies #40 #73) +#75 := (implies #29 #74) +#76 := (implies true #75) +#91 := (and #76 #90) +#92 := (implies #29 #91) +#38 := (< uf_4 uf_1) +#93 := (implies #38 #92) +#94 := (implies #29 #93) +#95 := (implies true #94) +#124 := (and #95 #123) +#125 := (implies #29 #124) +#37 := (= #36 uf_6) +#126 := (implies #37 #125) +#33 := (<= #20 uf_6) +#30 := (< #16 uf_4) +#31 := (and #30 #18) +#34 := (implies #31 #33) +#35 := (forall (vars (?x2 int)) #34) +#127 := (implies #35 #126) +#128 := (implies #29 #127) +#129 := (implies true #128) +#130 := (implies #24 #129) +#131 := (and #130 #24) +#132 := (implies #23 #131) +#133 := (and #132 #23) +#12 := (<= 0::int 0::int) +#13 := (and #12 #12) +#11 := (<= 1::int 1::int) +#14 := (and #11 #13) +#15 := (and #11 #14) +#134 := (implies #15 #133) +#135 := (implies #9 #134) +#136 := (implies true #135) +#6 := (< 0::int uf_1) +#137 := (implies #6 #136) +#138 := (implies true #137) +#139 := (not #138) +#1106 := (iff #139 #1103) +#475 := (and #18 #103) +#481 := (not #475) +#493 := (or #108 #481) +#498 := (forall (vars (?x8 int)) #493) +#482 := (or #105 #481) +#487 := (exists (vars (?x7 int)) #482) +#518 := (not #487) +#519 := (or #518 #498) +#527 := (and #487 #519) +#543 := (or #542 #527) +#552 := (or #551 #543) +#561 := (or #560 #552) +#326 := (not #29) +#576 := (or #326 #561) +#584 := (not #96) +#585 := (or #584 #576) +#593 := (or #326 #585) +#206 := (and #18 #53) +#212 := (not #206) +#213 := (or #55 #212) +#218 := (forall (vars (?x3 int)) #213) +#243 := (not #218) +#244 := (or #243 #221) +#252 := (and #218 #244) +#203 := (and #45 #51) +#267 := (not #203) +#268 := (or #267 #252) +#197 := (+ 1::int uf_4) +#200 := (= uf_9 #197) +#276 := (not #200) +#277 := (or #276 #268) +#285 := (not #46) +#286 := (or #285 #277) +#368 := (or #367 #286) +#377 := (or #376 #368) +#392 := (not #26) +#393 := (or #392 #377) +#402 := (or #401 #393) +#410 := (not #77) +#411 := (or #410 #402) +#419 := (or #326 #411) +#302 := (or #301 #286) +#311 := (or #310 #302) +#327 := (or #326 #311) +#335 := (not #40) +#336 := (or #335 #327) +#344 := (or #326 #336) +#431 := (and #344 #419) +#437 := (or #326 #431) +#445 := (not #38) +#446 := (or #445 #437) +#454 := (or #326 #446) +#605 := (and #454 #593) +#611 := (or #326 #605) +#620 := (or #619 #611) +#173 := (and #18 #30) +#179 := (not #173) +#180 := (or #33 #179) +#185 := (forall (vars (?x2 int)) #180) +#628 := (not #185) +#629 := (or #628 #620) +#637 := (or #326 #629) +#653 := (or #652 #637) +#661 := (and #9 #653) +#164 := (not #19) +#165 := (or #164 #21) +#168 := (forall (vars (?x1 int)) #165) +#669 := (not #168) +#670 := (or #669 #661) +#678 := (and #168 #670) +#158 := (and #11 #12) +#161 := (and #11 #158) +#686 := (not #161) +#687 := (or #686 #678) +#695 := (or #652 #687) +#710 := (not #6) +#711 := (or #710 #695) +#723 := (not #711) +#1104 := (iff #723 #1103) +#1101 := (iff #711 #1098) +#1089 := (or false #1075) +#1092 := (or #652 #1089) +#1095 := (or #1078 #1092) +#1099 := (iff #1095 #1098) +#1100 := [rewrite]: #1099 +#1096 := (iff #711 #1095) +#1093 := (iff #695 #1092) +#1090 := (iff #687 #1089) +#1076 := (iff #678 #1075) +#1073 := (iff #670 #1072) +#1070 := (iff #661 #1069) +#1067 := (iff #653 #1064) +#1049 := (or #784 #1021) +#1052 := (or #619 #1049) +#1055 := (or #1046 #1052) +#1058 := (or #784 #1055) +#1061 := (or #652 #1058) +#1065 := (iff #1061 #1064) +#1066 := [rewrite]: #1065 +#1062 := (iff #653 #1061) +#1059 := (iff #637 #1058) +#1056 := (iff #629 #1055) +#1053 := (iff #620 #1052) +#1050 := (iff #611 #1049) +#1022 := (iff #605 #1021) +#1019 := (iff #593 #1016) +#998 := (or #542 #991) +#1001 := (or #551 #998) +#1004 := (or #560 #1001) +#1007 := (or #784 #1004) +#1010 := (or #927 #1007) +#1013 := (or #784 #1010) +#1017 := (iff #1013 #1016) +#1018 := [rewrite]: #1017 +#1014 := (iff #593 #1013) +#1011 := (iff #585 #1010) +#1008 := (iff #576 #1007) +#1005 := (iff #561 #1004) +#1002 := (iff #552 #1001) +#999 := (iff #543 #998) +#992 := (iff #527 #991) +#989 := (iff #519 #988) +#986 := (iff #498 #985) +#983 := (iff #493 #980) +#977 := (or #974 #960) +#981 := (iff #977 #980) +#982 := [rewrite]: #981 +#978 := (iff #493 #977) +#961 := (iff #481 #960) +#958 := (iff #475 #957) +#955 := (iff #103 #954) +#956 := [rewrite]: #955 +#751 := (iff #18 #753) +#752 := [rewrite]: #751 +#959 := [monotonicity #752 #956]: #958 +#962 := [monotonicity #959]: #961 +#975 := (iff #108 #974) +#976 := [rewrite]: #975 +#979 := [monotonicity #976 #962]: #978 +#984 := [trans #979 #982]: #983 +#987 := [quant-intro #984]: #986 +#970 := (iff #518 #969) +#967 := (iff #487 #966) +#964 := (iff #482 #963) +#965 := [monotonicity #962]: #964 +#968 := [quant-intro #965]: #967 +#971 := [monotonicity #968]: #970 +#990 := [monotonicity #971 #987]: #989 +#993 := [monotonicity #968 #990]: #992 +#1000 := [monotonicity #993]: #999 +#1003 := [monotonicity #1000]: #1002 +#1006 := [monotonicity #1003]: #1005 +#785 := (iff #326 #784) +#782 := (iff #29 #781) +#778 := (iff #28 #779) +#780 := [rewrite]: #778 +#775 := (iff #26 #776) +#777 := [rewrite]: #775 +#783 := [monotonicity #777 #780]: #782 +#786 := [monotonicity #783]: #785 +#1009 := [monotonicity #786 #1006]: #1008 +#996 := (iff #584 #927) +#994 := (iff #96 #926) +#995 := [rewrite]: #994 +#997 := [monotonicity #995]: #996 +#1012 := [monotonicity #997 #1009]: #1011 +#1015 := [monotonicity #786 #1012]: #1014 +#1020 := [trans #1015 #1018]: #1019 +#949 := (iff #454 #946) +#937 := (or #784 #921) +#940 := (or #926 #937) +#943 := (or #784 #940) +#947 := (iff #943 #946) +#948 := [rewrite]: #947 +#944 := (iff #454 #943) +#941 := (iff #446 #940) +#938 := (iff #437 #937) +#922 := (iff #431 #921) +#919 := (iff #419 #916) +#857 := (or #796 #833) +#860 := (or #840 #857) +#863 := (or #846 #860) +#898 := (or #367 #863) +#901 := (or #376 #898) +#904 := (or #886 #901) +#907 := (or #401 #904) +#910 := (or #850 #907) +#913 := (or #784 #910) +#917 := (iff #913 #916) +#918 := [rewrite]: #917 +#914 := (iff #419 #913) +#911 := (iff #411 #910) +#908 := (iff #402 #907) +#905 := (iff #393 #904) +#902 := (iff #377 #901) +#899 := (iff #368 #898) +#864 := (iff #286 #863) +#861 := (iff #277 #860) +#858 := (iff #268 #857) +#834 := (iff #252 #833) +#831 := (iff #244 #828) +#825 := (or #822 #221) +#829 := (iff #825 #828) +#830 := [rewrite]: #829 +#826 := (iff #244 #825) +#823 := (iff #243 #822) +#820 := (iff #218 #819) +#817 := (iff #213 #816) +#814 := (iff #212 #813) +#811 := (iff #206 #810) +#808 := (iff #53 #804) +#809 := [rewrite]: #808 +#812 := [monotonicity #752 #809]: #811 +#815 := [monotonicity #812]: #814 +#802 := (iff #55 #801) +#803 := [rewrite]: #802 +#818 := [monotonicity #803 #815]: #817 +#821 := [quant-intro #818]: #820 +#824 := [monotonicity #821]: #823 +#827 := [monotonicity #824]: #826 +#832 := [trans #827 #830]: #831 +#835 := [monotonicity #821 #832]: #834 +#797 := (iff #267 #796) +#794 := (iff #203 #793) +#790 := (iff #51 #791) +#792 := [rewrite]: #790 +#787 := (iff #45 #788) +#789 := [rewrite]: #787 +#795 := [monotonicity #789 #792]: #794 +#798 := [monotonicity #795]: #797 +#859 := [monotonicity #798 #835]: #858 +#841 := (iff #276 #840) +#836 := (iff #200 #837) +#839 := [rewrite]: #836 +#842 := [monotonicity #839]: #841 +#862 := [monotonicity #842 #859]: #861 +#847 := (iff #285 #846) +#844 := (iff #46 #843) +#845 := [monotonicity #777 #789]: #844 +#848 := [monotonicity #845]: #847 +#865 := [monotonicity #848 #862]: #864 +#900 := [monotonicity #865]: #899 +#903 := [monotonicity #900]: #902 +#887 := (iff #392 #886) +#888 := [monotonicity #777]: #887 +#906 := [monotonicity #888 #903]: #905 +#909 := [monotonicity #906]: #908 +#896 := (iff #410 #850) +#891 := (not #854) +#894 := (iff #891 #850) +#895 := [rewrite]: #894 +#892 := (iff #410 #891) +#889 := (iff #77 #854) +#890 := [rewrite]: #889 +#893 := [monotonicity #890]: #892 +#897 := [trans #893 #895]: #896 +#912 := [monotonicity #897 #909]: #911 +#915 := [monotonicity #786 #912]: #914 +#920 := [trans #915 #918]: #919 +#884 := (iff #344 #881) +#866 := (or #301 #863) +#869 := (or #310 #866) +#872 := (or #784 #869) +#875 := (or #854 #872) +#878 := (or #784 #875) +#882 := (iff #878 #881) +#883 := [rewrite]: #882 +#879 := (iff #344 #878) +#876 := (iff #336 #875) +#873 := (iff #327 #872) +#870 := (iff #311 #869) +#867 := (iff #302 #866) +#868 := [monotonicity #865]: #867 +#871 := [monotonicity #868]: #870 +#874 := [monotonicity #786 #871]: #873 +#855 := (iff #335 #854) +#849 := (iff #40 #850) +#853 := [rewrite]: #849 +#856 := [monotonicity #853]: #855 +#877 := [monotonicity #856 #874]: #876 +#880 := [monotonicity #786 #877]: #879 +#885 := [trans #880 #883]: #884 +#923 := [monotonicity #885 #920]: #922 +#939 := [monotonicity #786 #923]: #938 +#935 := (iff #445 #926) +#930 := (not #927) +#933 := (iff #930 #926) +#934 := [rewrite]: #933 +#931 := (iff #445 #930) +#928 := (iff #38 #927) +#929 := [rewrite]: #928 +#932 := [monotonicity #929]: #931 +#936 := [trans #932 #934]: #935 +#942 := [monotonicity #936 #939]: #941 +#945 := [monotonicity #786 #942]: #944 +#950 := [trans #945 #948]: #949 +#1023 := [monotonicity #950 #1020]: #1022 +#1051 := [monotonicity #786 #1023]: #1050 +#1054 := [monotonicity #1051]: #1053 +#1047 := (iff #628 #1046) +#1044 := (iff #185 #1043) +#1041 := (iff #180 #1040) +#1038 := (iff #179 #1037) +#1035 := (iff #173 #1034) +#1032 := (iff #30 #1031) +#1033 := [rewrite]: #1032 +#1036 := [monotonicity #752 #1033]: #1035 +#1039 := [monotonicity #1036]: #1038 +#1027 := (iff #33 #1026) +#1028 := [rewrite]: #1027 +#1042 := [monotonicity #1028 #1039]: #1041 +#1045 := [quant-intro #1042]: #1044 +#1048 := [monotonicity #1045]: #1047 +#1057 := [monotonicity #1048 #1054]: #1056 +#1060 := [monotonicity #786 #1057]: #1059 +#1063 := [monotonicity #1060]: #1062 +#1068 := [trans #1063 #1066]: #1067 +#1071 := [monotonicity #1068]: #1070 +#773 := (iff #669 #772) +#770 := (iff #168 #769) +#767 := (iff #165 #766) +#761 := (iff #21 #762) +#765 := [rewrite]: #761 +#758 := (iff #164 #757) +#755 := (iff #19 #754) +#748 := (iff #17 #747) +#750 := [rewrite]: #748 +#756 := [monotonicity #750 #752]: #755 +#759 := [monotonicity #756]: #758 +#768 := [monotonicity #759 #765]: #767 +#771 := [quant-intro #768]: #770 +#774 := [monotonicity #771]: #773 +#1074 := [monotonicity #774 #1071]: #1073 +#1077 := [monotonicity #771 #1074]: #1076 +#745 := (iff #686 false) +#740 := (not true) +#743 := (iff #740 false) +#744 := [rewrite]: #743 +#741 := (iff #686 #740) +#738 := (iff #161 true) +#730 := (and true true) +#733 := (and true #730) +#736 := (iff #733 true) +#737 := [rewrite]: #736 +#734 := (iff #161 #733) +#731 := (iff #158 #730) +#728 := (iff #12 true) +#729 := [rewrite]: #728 +#726 := (iff #11 true) +#727 := [rewrite]: #726 +#732 := [monotonicity #727 #729]: #731 +#735 := [monotonicity #727 #732]: #734 +#739 := [trans #735 #737]: #738 +#742 := [monotonicity #739]: #741 +#746 := [trans #742 #744]: #745 +#1091 := [monotonicity #746 #1077]: #1090 +#1094 := [monotonicity #1091]: #1093 +#1087 := (iff #710 #1078) +#1079 := (not #1078) +#1082 := (not #1079) +#1085 := (iff #1082 #1078) +#1086 := [rewrite]: #1085 +#1083 := (iff #710 #1082) +#1080 := (iff #6 #1079) +#1081 := [rewrite]: #1080 +#1084 := [monotonicity #1081]: #1083 +#1088 := [trans #1084 #1086]: #1087 +#1097 := [monotonicity #1088 #1094]: #1096 +#1102 := [trans #1097 #1100]: #1101 +#1105 := [monotonicity #1102]: #1104 +#724 := (iff #139 #723) +#721 := (iff #138 #711) +#716 := (implies true #711) +#719 := (iff #716 #711) +#720 := [rewrite]: #719 +#717 := (iff #138 #716) +#714 := (iff #137 #711) +#707 := (implies #6 #695) +#712 := (iff #707 #711) +#713 := [rewrite]: #712 +#708 := (iff #137 #707) +#705 := (iff #136 #695) +#700 := (implies true #695) +#703 := (iff #700 #695) +#704 := [rewrite]: #703 +#701 := (iff #136 #700) +#698 := (iff #135 #695) +#692 := (implies #9 #687) +#696 := (iff #692 #695) +#697 := [rewrite]: #696 +#693 := (iff #135 #692) +#690 := (iff #134 #687) +#683 := (implies #161 #678) +#688 := (iff #683 #687) +#689 := [rewrite]: #688 +#684 := (iff #134 #683) +#681 := (iff #133 #678) +#675 := (and #670 #168) +#679 := (iff #675 #678) +#680 := [rewrite]: #679 +#676 := (iff #133 #675) +#169 := (iff #23 #168) +#166 := (iff #22 #165) +#167 := [rewrite]: #166 +#170 := [quant-intro #167]: #169 +#673 := (iff #132 #670) +#666 := (implies #168 #661) +#671 := (iff #666 #670) +#672 := [rewrite]: #671 +#667 := (iff #132 #666) +#664 := (iff #131 #661) +#658 := (and #653 #9) +#662 := (iff #658 #661) +#663 := [rewrite]: #662 +#659 := (iff #131 #658) +#171 := (iff #24 #9) +#172 := [rewrite]: #171 +#656 := (iff #130 #653) +#649 := (implies #9 #637) +#654 := (iff #649 #653) +#655 := [rewrite]: #654 +#650 := (iff #130 #649) +#647 := (iff #129 #637) +#642 := (implies true #637) +#645 := (iff #642 #637) +#646 := [rewrite]: #645 +#643 := (iff #129 #642) +#640 := (iff #128 #637) +#634 := (implies #29 #629) +#638 := (iff #634 #637) +#639 := [rewrite]: #638 +#635 := (iff #128 #634) +#632 := (iff #127 #629) +#625 := (implies #185 #620) +#630 := (iff #625 #629) +#631 := [rewrite]: #630 +#626 := (iff #127 #625) +#623 := (iff #126 #620) +#616 := (implies #188 #611) +#621 := (iff #616 #620) +#622 := [rewrite]: #621 +#617 := (iff #126 #616) +#614 := (iff #125 #611) +#608 := (implies #29 #605) +#612 := (iff #608 #611) +#613 := [rewrite]: #612 +#609 := (iff #125 #608) +#606 := (iff #124 #605) +#603 := (iff #123 #593) +#598 := (implies true #593) +#601 := (iff #598 #593) +#602 := [rewrite]: #601 +#599 := (iff #123 #598) +#596 := (iff #122 #593) +#590 := (implies #29 #585) +#594 := (iff #590 #593) +#595 := [rewrite]: #594 +#591 := (iff #122 #590) +#588 := (iff #121 #585) +#581 := (implies #96 #576) +#586 := (iff #581 #585) +#587 := [rewrite]: #586 +#582 := (iff #121 #581) +#579 := (iff #120 #576) +#573 := (implies #29 #561) +#577 := (iff #573 #576) +#578 := [rewrite]: #577 +#574 := (iff #120 #573) +#571 := (iff #119 #561) +#566 := (implies true #561) +#569 := (iff #566 #561) +#570 := [rewrite]: #569 +#567 := (iff #119 #566) +#564 := (iff #118 #561) +#557 := (implies #466 #552) +#562 := (iff #557 #561) +#563 := [rewrite]: #562 +#558 := (iff #118 #557) +#555 := (iff #117 #552) +#548 := (implies #469 #543) +#553 := (iff #548 #552) +#554 := [rewrite]: #553 +#549 := (iff #117 #548) +#546 := (iff #116 #543) +#539 := (implies #472 #527) +#544 := (iff #539 #543) +#545 := [rewrite]: #544 +#540 := (iff #116 #539) +#537 := (iff #115 #527) +#532 := (implies true #527) +#535 := (iff #532 #527) +#536 := [rewrite]: #535 +#533 := (iff #115 #532) +#530 := (iff #114 #527) +#524 := (and #519 #487) +#528 := (iff #524 #527) +#529 := [rewrite]: #528 +#525 := (iff #114 #524) +#488 := (iff #107 #487) +#485 := (iff #106 #482) +#478 := (implies #475 #105) +#483 := (iff #478 #482) +#484 := [rewrite]: #483 +#479 := (iff #106 #478) +#476 := (iff #104 #475) +#477 := [rewrite]: #476 +#480 := [monotonicity #477]: #479 +#486 := [trans #480 #484]: #485 +#489 := [quant-intro #486]: #488 +#522 := (iff #113 #519) +#515 := (implies #487 #498) +#520 := (iff #515 #519) +#521 := [rewrite]: #520 +#516 := (iff #113 #515) +#513 := (iff #112 #498) +#508 := (and true #498) +#511 := (iff #508 #498) +#512 := [rewrite]: #511 +#509 := (iff #112 #508) +#499 := (iff #110 #498) +#496 := (iff #109 #493) +#490 := (implies #475 #108) +#494 := (iff #490 #493) +#495 := [rewrite]: #494 +#491 := (iff #109 #490) +#492 := [monotonicity #477]: #491 +#497 := [trans #492 #495]: #496 +#500 := [quant-intro #497]: #499 +#506 := (iff #111 true) +#501 := (implies #498 true) +#504 := (iff #501 true) +#505 := [rewrite]: #504 +#502 := (iff #111 #501) +#503 := [monotonicity #500]: #502 +#507 := [trans #503 #505]: #506 +#510 := [monotonicity #507 #500]: #509 +#514 := [trans #510 #512]: #513 +#517 := [monotonicity #489 #514]: #516 +#523 := [trans #517 #521]: #522 +#526 := [monotonicity #523 #489]: #525 +#531 := [trans #526 #529]: #530 +#534 := [monotonicity #531]: #533 +#538 := [trans #534 #536]: #537 +#473 := (iff #102 #472) +#474 := [rewrite]: #473 +#541 := [monotonicity #474 #538]: #540 +#547 := [trans #541 #545]: #546 +#470 := (iff #100 #469) +#471 := [rewrite]: #470 +#550 := [monotonicity #471 #547]: #549 +#556 := [trans #550 #554]: #555 +#467 := (iff #98 #466) +#468 := [rewrite]: #467 +#559 := [monotonicity #468 #556]: #558 +#565 := [trans #559 #563]: #564 +#568 := [monotonicity #565]: #567 +#572 := [trans #568 #570]: #571 +#575 := [monotonicity #572]: #574 +#580 := [trans #575 #578]: #579 +#583 := [monotonicity #580]: #582 +#589 := [trans #583 #587]: #588 +#592 := [monotonicity #589]: #591 +#597 := [trans #592 #595]: #596 +#600 := [monotonicity #597]: #599 +#604 := [trans #600 #602]: #603 +#464 := (iff #95 #454) +#459 := (implies true #454) +#462 := (iff #459 #454) +#463 := [rewrite]: #462 +#460 := (iff #95 #459) +#457 := (iff #94 #454) +#451 := (implies #29 #446) +#455 := (iff #451 #454) +#456 := [rewrite]: #455 +#452 := (iff #94 #451) +#449 := (iff #93 #446) +#442 := (implies #38 #437) +#447 := (iff #442 #446) +#448 := [rewrite]: #447 +#443 := (iff #93 #442) +#440 := (iff #92 #437) +#434 := (implies #29 #431) +#438 := (iff #434 #437) +#439 := [rewrite]: #438 +#435 := (iff #92 #434) +#432 := (iff #91 #431) +#429 := (iff #90 #419) +#424 := (implies true #419) +#427 := (iff #424 #419) +#428 := [rewrite]: #427 +#425 := (iff #90 #424) +#422 := (iff #89 #419) +#416 := (implies #29 #411) +#420 := (iff #416 #419) +#421 := [rewrite]: #420 +#417 := (iff #89 #416) +#414 := (iff #88 #411) +#407 := (implies #77 #402) +#412 := (iff #407 #411) +#413 := [rewrite]: #412 +#408 := (iff #88 #407) +#405 := (iff #87 #402) +#398 := (implies #356 #393) +#403 := (iff #398 #402) +#404 := [rewrite]: #403 +#399 := (iff #87 #398) +#396 := (iff #86 #393) +#389 := (implies #26 #377) +#394 := (iff #389 #393) +#395 := [rewrite]: #394 +#390 := (iff #86 #389) +#387 := (iff #85 #377) +#382 := (implies true #377) +#385 := (iff #382 #377) +#386 := [rewrite]: #385 +#383 := (iff #85 #382) +#380 := (iff #84 #377) +#373 := (implies #361 #368) +#378 := (iff #373 #377) +#379 := [rewrite]: #378 +#374 := (iff #84 #373) +#371 := (iff #83 #368) +#364 := (implies #82 #286) +#369 := (iff #364 #368) +#370 := [rewrite]: #369 +#365 := (iff #83 #364) +#296 := (iff #69 #286) +#291 := (implies true #286) +#294 := (iff #291 #286) +#295 := [rewrite]: #294 +#292 := (iff #69 #291) +#289 := (iff #68 #286) +#282 := (implies #46 #277) +#287 := (iff #282 #286) +#288 := [rewrite]: #287 +#283 := (iff #68 #282) +#280 := (iff #67 #277) +#273 := (implies #200 #268) +#278 := (iff #273 #277) +#279 := [rewrite]: #278 +#274 := (iff #67 #273) +#271 := (iff #66 #268) +#264 := (implies #203 #252) +#269 := (iff #264 #268) +#270 := [rewrite]: #269 +#265 := (iff #66 #264) +#262 := (iff #65 #252) +#257 := (implies true #252) +#260 := (iff #257 #252) +#261 := [rewrite]: #260 +#258 := (iff #65 #257) +#255 := (iff #64 #252) +#249 := (and #244 #218) +#253 := (iff #249 #252) +#254 := [rewrite]: #253 +#250 := (iff #64 #249) +#219 := (iff #57 #218) +#216 := (iff #56 #213) +#209 := (implies #206 #55) +#214 := (iff #209 #213) +#215 := [rewrite]: #214 +#210 := (iff #56 #209) +#207 := (iff #54 #206) +#208 := [rewrite]: #207 +#211 := [monotonicity #208]: #210 +#217 := [trans #211 #215]: #216 +#220 := [quant-intro #217]: #219 +#247 := (iff #63 #244) +#240 := (implies #218 #221) +#245 := (iff #240 #244) +#246 := [rewrite]: #245 +#241 := (iff #63 #240) +#238 := (iff #62 #221) +#233 := (and true #221) +#236 := (iff #233 #221) +#237 := [rewrite]: #236 +#234 := (iff #62 #233) +#222 := (iff #59 #221) +#223 := [rewrite]: #222 +#231 := (iff #61 true) +#226 := (implies #221 true) +#229 := (iff #226 true) +#230 := [rewrite]: #229 +#227 := (iff #61 #226) +#224 := (iff #60 true) +#225 := [rewrite]: #224 +#228 := [monotonicity #223 #225]: #227 +#232 := [trans #228 #230]: #231 +#235 := [monotonicity #232 #223]: #234 +#239 := [trans #235 #237]: #238 +#242 := [monotonicity #220 #239]: #241 +#248 := [trans #242 #246]: #247 +#251 := [monotonicity #248 #220]: #250 +#256 := [trans #251 #254]: #255 +#259 := [monotonicity #256]: #258 +#263 := [trans #259 #261]: #262 +#204 := (iff #52 #203) +#205 := [rewrite]: #204 +#266 := [monotonicity #205 #263]: #265 +#272 := [trans #266 #270]: #271 +#201 := (iff #49 #200) +#198 := (= #48 #197) +#199 := [rewrite]: #198 +#202 := [monotonicity #199]: #201 +#275 := [monotonicity #202 #272]: #274 +#281 := [trans #275 #279]: #280 +#284 := [monotonicity #281]: #283 +#290 := [trans #284 #288]: #289 +#293 := [monotonicity #290]: #292 +#297 := [trans #293 #295]: #296 +#366 := [monotonicity #297]: #365 +#372 := [trans #366 #370]: #371 +#362 := (iff #81 #361) +#363 := [rewrite]: #362 +#375 := [monotonicity #363 #372]: #374 +#381 := [trans #375 #379]: #380 +#384 := [monotonicity #381]: #383 +#388 := [trans #384 #386]: #387 +#359 := (iff #80 #26) +#360 := [rewrite]: #359 +#391 := [monotonicity #360 #388]: #390 +#397 := [trans #391 #395]: #396 +#357 := (iff #79 #356) +#358 := [rewrite]: #357 +#400 := [monotonicity #358 #397]: #399 +#406 := [trans #400 #404]: #405 +#409 := [monotonicity #406]: #408 +#415 := [trans #409 #413]: #414 +#418 := [monotonicity #415]: #417 +#423 := [trans #418 #421]: #422 +#426 := [monotonicity #423]: #425 +#430 := [trans #426 #428]: #429 +#354 := (iff #76 #344) +#349 := (implies true #344) +#352 := (iff #349 #344) +#353 := [rewrite]: #352 +#350 := (iff #76 #349) +#347 := (iff #75 #344) +#341 := (implies #29 #336) +#345 := (iff #341 #344) +#346 := [rewrite]: #345 +#342 := (iff #75 #341) +#339 := (iff #74 #336) +#332 := (implies #40 #327) +#337 := (iff #332 #336) +#338 := [rewrite]: #337 +#333 := (iff #74 #332) +#330 := (iff #73 #327) +#323 := (implies #29 #311) +#328 := (iff #323 #327) +#329 := [rewrite]: #328 +#324 := (iff #73 #323) +#321 := (iff #72 #311) +#316 := (implies true #311) +#319 := (iff #316 #311) +#320 := [rewrite]: #319 +#317 := (iff #72 #316) +#314 := (iff #71 #311) +#307 := (implies #191 #302) +#312 := (iff #307 #311) +#313 := [rewrite]: #312 +#308 := (iff #71 #307) +#305 := (iff #70 #302) +#298 := (implies #194 #286) +#303 := (iff #298 #302) +#304 := [rewrite]: #303 +#299 := (iff #70 #298) +#195 := (iff #44 #194) +#196 := [rewrite]: #195 +#300 := [monotonicity #196 #297]: #299 +#306 := [trans #300 #304]: #305 +#192 := (iff #42 #191) +#193 := [rewrite]: #192 +#309 := [monotonicity #193 #306]: #308 +#315 := [trans #309 #313]: #314 +#318 := [monotonicity #315]: #317 +#322 := [trans #318 #320]: #321 +#325 := [monotonicity #322]: #324 +#331 := [trans #325 #329]: #330 +#334 := [monotonicity #331]: #333 +#340 := [trans #334 #338]: #339 +#343 := [monotonicity #340]: #342 +#348 := [trans #343 #346]: #347 +#351 := [monotonicity #348]: #350 +#355 := [trans #351 #353]: #354 +#433 := [monotonicity #355 #430]: #432 +#436 := [monotonicity #433]: #435 +#441 := [trans #436 #439]: #440 +#444 := [monotonicity #441]: #443 +#450 := [trans #444 #448]: #449 +#453 := [monotonicity #450]: #452 +#458 := [trans #453 #456]: #457 +#461 := [monotonicity #458]: #460 +#465 := [trans #461 #463]: #464 +#607 := [monotonicity #465 #604]: #606 +#610 := [monotonicity #607]: #609 +#615 := [trans #610 #613]: #614 +#189 := (iff #37 #188) +#190 := [rewrite]: #189 +#618 := [monotonicity #190 #615]: #617 +#624 := [trans #618 #622]: #623 +#186 := (iff #35 #185) +#183 := (iff #34 #180) +#176 := (implies #173 #33) +#181 := (iff #176 #180) +#182 := [rewrite]: #181 +#177 := (iff #34 #176) +#174 := (iff #31 #173) +#175 := [rewrite]: #174 +#178 := [monotonicity #175]: #177 +#184 := [trans #178 #182]: #183 +#187 := [quant-intro #184]: #186 +#627 := [monotonicity #187 #624]: #626 +#633 := [trans #627 #631]: #632 +#636 := [monotonicity #633]: #635 +#641 := [trans #636 #639]: #640 +#644 := [monotonicity #641]: #643 +#648 := [trans #644 #646]: #647 +#651 := [monotonicity #172 #648]: #650 +#657 := [trans #651 #655]: #656 +#660 := [monotonicity #657 #172]: #659 +#665 := [trans #660 #663]: #664 +#668 := [monotonicity #170 #665]: #667 +#674 := [trans #668 #672]: #673 +#677 := [monotonicity #674 #170]: #676 +#682 := [trans #677 #680]: #681 +#162 := (iff #15 #161) +#159 := (iff #14 #158) +#156 := (iff #13 #12) +#157 := [rewrite]: #156 +#160 := [monotonicity #157]: #159 +#163 := [monotonicity #160]: #162 +#685 := [monotonicity #163 #682]: #684 +#691 := [trans #685 #689]: #690 +#694 := [monotonicity #691]: #693 +#699 := [trans #694 #697]: #698 +#702 := [monotonicity #699]: #701 +#706 := [trans #702 #704]: #705 +#709 := [monotonicity #706]: #708 +#715 := [trans #709 #713]: #714 +#718 := [monotonicity #715]: #717 +#722 := [trans #718 #720]: #721 +#725 := [monotonicity #722]: #724 +#1107 := [trans #725 #1105]: #1106 +#155 := [asserted]: #139 +#1108 := [mp #155 #1107]: #1103 +#1109 := [not-or-elim #1108]: #9 +#2193 := [trans #1109 #2192]: #2202 +#1888 := (not #1154) +#1974 := (or #1540 #1888) +#1889 := [def-axiom]: #1974 +#2194 := [unit-resolution #1889 #2205]: #1888 +#2195 := (not #2202) +#2196 := (or #2195 #1154) +#2197 := [th-lemma]: #2196 +#2198 := [unit-resolution #2197 #2194 #2193]: false +#2199 := [lemma #2198]: #1540 +#2393 := (or #1545 #2390) +#1708 := (forall (vars (?x7 int)) #1705) +#1801 := (or #1708 #1798) +#1804 := (not #1801) +#1807 := (or #560 #551 #542 #886 #1654 #927 #1804) +#1810 := (not #1807) +#1612 := (forall (vars (?x3 int)) #1607) +#1618 := (not #1612) +#1619 := (or #221 #1618) +#1620 := (not #1619) +#1648 := (or #1620 #1645) +#1657 := (not #1648) +#1667 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #1657) +#1668 := (not #1667) +#1658 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #1657) +#1659 := (not #1658) +#1673 := (or #1659 #1668) +#1679 := (not #1673) +#1680 := (or #886 #1654 #926 #1679) +#1681 := (not #1680) +#1813 := (or #1681 #1810) +#1816 := (not #1813) +#1590 := (forall (vars (?x2 int)) #1585) +#1784 := (not #1590) +#1568 := (forall (vars (?x1 int)) #1563) +#1783 := (not #1568) +#1819 := (or #619 #886 #1654 #1783 #1784 #1816) +#1822 := (not #1819) +#1825 := (or #1545 #1822) +#2394 := (iff #1825 #2393) +#2391 := (iff #1822 #2390) +#2388 := (iff #1819 #2387) +#2385 := (iff #1816 #2384) +#2382 := (iff #1813 #2381) +#2379 := (iff #1810 #2378) +#2376 := (iff #1807 #2375) +#2373 := (iff #1804 #2372) +#2370 := (iff #1801 #2369) +#2367 := (iff #1708 #2364) +#2365 := (iff #1705 #1705) +#2366 := [refl]: #2365 +#2368 := [quant-intro #2366]: #2367 +#2371 := [monotonicity #2368]: #2370 +#2374 := [monotonicity #2371]: #2373 +#2377 := [monotonicity #2374]: #2376 +#2380 := [monotonicity #2377]: #2379 +#2362 := (iff #1681 #2361) +#2359 := (iff #1680 #2358) +#2356 := (iff #1679 #2355) +#2353 := (iff #1673 #2352) +#2350 := (iff #1668 #2349) +#2347 := (iff #1667 #2346) +#2338 := (iff #1657 #2337) +#2335 := (iff #1648 #2334) +#2332 := (iff #1620 #2331) +#2329 := (iff #1619 #2328) +#2326 := (iff #1618 #2325) +#2323 := (iff #1612 #2320) +#2321 := (iff #1607 #1607) +#2322 := [refl]: #2321 +#2324 := [quant-intro #2322]: #2323 +#2327 := [monotonicity #2324]: #2326 +#2330 := [monotonicity #2327]: #2329 +#2333 := [monotonicity #2330]: #2332 +#2336 := [monotonicity #2333]: #2335 +#2339 := [monotonicity #2336]: #2338 +#2348 := [monotonicity #2339]: #2347 +#2351 := [monotonicity #2348]: #2350 +#2344 := (iff #1659 #2343) +#2341 := (iff #1658 #2340) +#2342 := [monotonicity #2339]: #2341 +#2345 := [monotonicity #2342]: #2344 +#2354 := [monotonicity #2345 #2351]: #2353 +#2357 := [monotonicity #2354]: #2356 +#2360 := [monotonicity #2357]: #2359 +#2363 := [monotonicity #2360]: #2362 +#2383 := [monotonicity #2363 #2380]: #2382 +#2386 := [monotonicity #2383]: #2385 +#2318 := (iff #1784 #2317) +#2315 := (iff #1590 #2312) +#2313 := (iff #1585 #1585) +#2314 := [refl]: #2313 +#2316 := [quant-intro #2314]: #2315 +#2319 := [monotonicity #2316]: #2318 +#2310 := (iff #1783 #2309) +#2307 := (iff #1568 #2304) +#2305 := (iff #1563 #1563) +#2306 := [refl]: #2305 +#2308 := [quant-intro #2306]: #2307 +#2311 := [monotonicity #2308]: #2310 +#2389 := [monotonicity #2311 #2319 #2386]: #2388 +#2392 := [monotonicity #2389]: #2391 +#2395 := [monotonicity #2392]: #2394 +#1304 := (not #1303) +#1481 := (and #1304 #1305) +#1484 := (not #1481) +#1500 := (or #1484 #1495) +#1503 := (not #1500) +#1283 := (not #1282) +#1472 := (and #1283 #1284) +#1475 := (not #1472) +#1478 := (or #1469 #1475) +#1506 := (and #1478 #1503) +#1273 := (not #963) +#1276 := (forall (vars (?x7 int)) #1273) +#1509 := (or #1276 #1506) +#1515 := (and #466 #469 #472 #776 #779 #926 #1509) +#1401 := (not #1396) +#1404 := (and #1192 #1401) +#1407 := (not #1404) +#1410 := (or #1383 #1407) +#1413 := (not #1410) +#1204 := (not #221) +#1214 := (and #1204 #819) +#1419 := (or #1214 #1413) +#1447 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1419) +#1431 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1419) +#1452 := (or #1431 #1447) +#1458 := (and #776 #779 #927 #1452) +#1520 := (or #1458 #1515) +#1526 := (and #188 #769 #776 #779 #1043 #1520) +#1348 := (and #1155 #1157) +#1351 := (not #1348) +#1357 := (or #1154 #1351) +#1362 := (not #1357) +#1531 := (or #1362 #1526) +#1828 := (iff #1531 #1825) +#1746 := (or #1303 #1731 #1495) +#1758 := (or #1757 #1746) +#1759 := (not #1758) +#1764 := (or #1708 #1759) +#1770 := (not #1764) +#1771 := (or #560 #551 #542 #886 #1654 #927 #1770) +#1772 := (not #1771) +#1777 := (or #1681 #1772) +#1785 := (not #1777) +#1786 := (or #619 #886 #1654 #1783 #1784 #1785) +#1787 := (not #1786) +#1792 := (or #1545 #1787) +#1826 := (iff #1792 #1825) +#1823 := (iff #1787 #1822) +#1820 := (iff #1786 #1819) +#1817 := (iff #1785 #1816) +#1814 := (iff #1777 #1813) +#1811 := (iff #1772 #1810) +#1808 := (iff #1771 #1807) +#1805 := (iff #1770 #1804) +#1802 := (iff #1764 #1801) +#1799 := (iff #1759 #1798) +#1796 := (iff #1758 #1795) +#1797 := [rewrite]: #1796 +#1800 := [monotonicity #1797]: #1799 +#1803 := [monotonicity #1800]: #1802 +#1806 := [monotonicity #1803]: #1805 +#1809 := [monotonicity #1806]: #1808 +#1812 := [monotonicity #1809]: #1811 +#1815 := [monotonicity #1812]: #1814 +#1818 := [monotonicity #1815]: #1817 +#1821 := [monotonicity #1818]: #1820 +#1824 := [monotonicity #1821]: #1823 +#1827 := [monotonicity #1824]: #1826 +#1793 := (iff #1531 #1792) +#1790 := (iff #1526 #1787) +#1780 := (and #188 #1568 #776 #779 #1590 #1777) +#1788 := (iff #1780 #1787) +#1789 := [rewrite]: #1788 +#1781 := (iff #1526 #1780) +#1778 := (iff #1520 #1777) +#1775 := (iff #1515 #1772) +#1767 := (and #466 #469 #472 #776 #779 #926 #1764) +#1773 := (iff #1767 #1772) +#1774 := [rewrite]: #1773 +#1768 := (iff #1515 #1767) +#1765 := (iff #1509 #1764) +#1762 := (iff #1506 #1759) +#1751 := (not #1746) +#1754 := (and #1726 #1751) +#1760 := (iff #1754 #1759) +#1761 := [rewrite]: #1760 +#1755 := (iff #1506 #1754) +#1752 := (iff #1503 #1751) +#1749 := (iff #1500 #1746) +#1732 := (or #1303 #1731) +#1743 := (or #1732 #1495) +#1747 := (iff #1743 #1746) +#1748 := [rewrite]: #1747 +#1744 := (iff #1500 #1743) +#1741 := (iff #1484 #1732) +#1733 := (not #1732) +#1736 := (not #1733) +#1739 := (iff #1736 #1732) +#1740 := [rewrite]: #1739 +#1737 := (iff #1484 #1736) +#1734 := (iff #1481 #1733) +#1735 := [rewrite]: #1734 +#1738 := [monotonicity #1735]: #1737 +#1742 := [trans #1738 #1740]: #1741 +#1745 := [monotonicity #1742]: #1744 +#1750 := [trans #1745 #1748]: #1749 +#1753 := [monotonicity #1750]: #1752 +#1729 := (iff #1478 #1726) +#1712 := (or #1282 #1711) +#1723 := (or #1469 #1712) +#1727 := (iff #1723 #1726) +#1728 := [rewrite]: #1727 +#1724 := (iff #1478 #1723) +#1721 := (iff #1475 #1712) +#1713 := (not #1712) +#1716 := (not #1713) +#1719 := (iff #1716 #1712) +#1720 := [rewrite]: #1719 +#1717 := (iff #1475 #1716) +#1714 := (iff #1472 #1713) +#1715 := [rewrite]: #1714 +#1718 := [monotonicity #1715]: #1717 +#1722 := [trans #1718 #1720]: #1721 +#1725 := [monotonicity #1722]: #1724 +#1730 := [trans #1725 #1728]: #1729 +#1756 := [monotonicity #1730 #1753]: #1755 +#1763 := [trans #1756 #1761]: #1762 +#1709 := (iff #1276 #1708) +#1706 := (iff #1273 #1705) +#1703 := (iff #963 #1700) +#1686 := (or #1548 #953) +#1697 := (or #105 #1686) +#1701 := (iff #1697 #1700) +#1702 := [rewrite]: #1701 +#1698 := (iff #963 #1697) +#1695 := (iff #960 #1686) +#1687 := (not #1686) +#1690 := (not #1687) +#1693 := (iff #1690 #1686) +#1694 := [rewrite]: #1693 +#1691 := (iff #960 #1690) +#1688 := (iff #957 #1687) +#1689 := [rewrite]: #1688 +#1692 := [monotonicity #1689]: #1691 +#1696 := [trans #1692 #1694]: #1695 +#1699 := [monotonicity #1696]: #1698 +#1704 := [trans #1699 #1702]: #1703 +#1707 := [monotonicity #1704]: #1706 +#1710 := [quant-intro #1707]: #1709 +#1766 := [monotonicity #1710 #1763]: #1765 +#1769 := [monotonicity #1766]: #1768 +#1776 := [trans #1769 #1774]: #1775 +#1684 := (iff #1458 #1681) +#1676 := (and #776 #779 #927 #1673) +#1682 := (iff #1676 #1681) +#1683 := [rewrite]: #1682 +#1677 := (iff #1458 #1676) +#1674 := (iff #1452 #1673) +#1671 := (iff #1447 #1668) +#1664 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1648) +#1669 := (iff #1664 #1668) +#1670 := [rewrite]: #1669 +#1665 := (iff #1447 #1664) +#1649 := (iff #1419 #1648) +#1646 := (iff #1413 #1645) +#1643 := (iff #1410 #1640) +#1626 := (or #1625 #1396) +#1637 := (or #1383 #1626) +#1641 := (iff #1637 #1640) +#1642 := [rewrite]: #1641 +#1638 := (iff #1410 #1637) +#1635 := (iff #1407 #1626) +#1627 := (not #1626) +#1630 := (not #1627) +#1633 := (iff #1630 #1626) +#1634 := [rewrite]: #1633 +#1631 := (iff #1407 #1630) +#1628 := (iff #1404 #1627) +#1629 := [rewrite]: #1628 +#1632 := [monotonicity #1629]: #1631 +#1636 := [trans #1632 #1634]: #1635 +#1639 := [monotonicity #1636]: #1638 +#1644 := [trans #1639 #1642]: #1643 +#1647 := [monotonicity #1644]: #1646 +#1623 := (iff #1214 #1620) +#1615 := (and #1204 #1612) +#1621 := (iff #1615 #1620) +#1622 := [rewrite]: #1621 +#1616 := (iff #1214 #1615) +#1613 := (iff #819 #1612) +#1610 := (iff #816 #1607) +#1593 := (or #1548 #805) +#1604 := (or #801 #1593) +#1608 := (iff #1604 #1607) +#1609 := [rewrite]: #1608 +#1605 := (iff #816 #1604) +#1602 := (iff #813 #1593) +#1594 := (not #1593) +#1597 := (not #1594) +#1600 := (iff #1597 #1593) +#1601 := [rewrite]: #1600 +#1598 := (iff #813 #1597) +#1595 := (iff #810 #1594) +#1596 := [rewrite]: #1595 +#1599 := [monotonicity #1596]: #1598 +#1603 := [trans #1599 #1601]: #1602 +#1606 := [monotonicity #1603]: #1605 +#1611 := [trans #1606 #1609]: #1610 +#1614 := [quant-intro #1611]: #1613 +#1617 := [monotonicity #1614]: #1616 +#1624 := [trans #1617 #1622]: #1623 +#1650 := [monotonicity #1624 #1647]: #1649 +#1666 := [monotonicity #1650]: #1665 +#1672 := [trans #1666 #1670]: #1671 +#1662 := (iff #1431 #1659) +#1651 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1648) +#1660 := (iff #1651 #1659) +#1661 := [rewrite]: #1660 +#1652 := (iff #1431 #1651) +#1653 := [monotonicity #1650]: #1652 +#1663 := [trans #1653 #1661]: #1662 +#1675 := [monotonicity #1663 #1672]: #1674 +#1678 := [monotonicity #1675]: #1677 +#1685 := [trans #1678 #1683]: #1684 +#1779 := [monotonicity #1685 #1776]: #1778 +#1591 := (iff #1043 #1590) +#1588 := (iff #1040 #1585) +#1571 := (or #1548 #1029) +#1582 := (or #1026 #1571) +#1586 := (iff #1582 #1585) +#1587 := [rewrite]: #1586 +#1583 := (iff #1040 #1582) +#1580 := (iff #1037 #1571) +#1572 := (not #1571) +#1575 := (not #1572) +#1578 := (iff #1575 #1571) +#1579 := [rewrite]: #1578 +#1576 := (iff #1037 #1575) +#1573 := (iff #1034 #1572) +#1574 := [rewrite]: #1573 +#1577 := [monotonicity #1574]: #1576 +#1581 := [trans #1577 #1579]: #1580 +#1584 := [monotonicity #1581]: #1583 +#1589 := [trans #1584 #1587]: #1588 +#1592 := [quant-intro #1589]: #1591 +#1569 := (iff #769 #1568) +#1566 := (iff #766 #1563) +#1549 := (or #749 #1548) +#1560 := (or #1549 #762) +#1564 := (iff #1560 #1563) +#1565 := [rewrite]: #1564 +#1561 := (iff #766 #1560) +#1558 := (iff #757 #1549) +#1550 := (not #1549) +#1553 := (not #1550) +#1556 := (iff #1553 #1549) +#1557 := [rewrite]: #1556 +#1554 := (iff #757 #1553) +#1551 := (iff #754 #1550) +#1552 := [rewrite]: #1551 +#1555 := [monotonicity #1552]: #1554 +#1559 := [trans #1555 #1557]: #1558 +#1562 := [monotonicity #1559]: #1561 +#1567 := [trans #1562 #1565]: #1566 +#1570 := [quant-intro #1567]: #1569 +#1782 := [monotonicity #1570 #1592 #1779]: #1781 +#1791 := [trans #1782 #1789]: #1790 +#1546 := (iff #1362 #1545) +#1543 := (iff #1357 #1540) +#1165 := (or #1164 #1156) +#1537 := (or #1154 #1165) +#1541 := (iff #1537 #1540) +#1542 := [rewrite]: #1541 +#1538 := (iff #1357 #1537) +#1535 := (iff #1351 #1165) +#1292 := (not #1165) +#1314 := (not #1292) +#1347 := (iff #1314 #1165) +#1534 := [rewrite]: #1347 +#1202 := (iff #1351 #1314) +#1293 := (iff #1348 #1292) +#1313 := [rewrite]: #1293 +#1203 := [monotonicity #1313]: #1202 +#1536 := [trans #1203 #1534]: #1535 +#1539 := [monotonicity #1536]: #1538 +#1544 := [trans #1539 #1542]: #1543 +#1547 := [monotonicity #1544]: #1546 +#1794 := [monotonicity #1547 #1791]: #1793 +#1829 := [trans #1794 #1827]: #1828 +#1299 := (+ #1298 #972) +#1300 := (<= #1299 0::int) +#1306 := (and #1305 #1304) +#1307 := (not #1306) +#1308 := (or #1307 #1300) +#1309 := (not #1308) +#1285 := (and #1284 #1283) +#1286 := (not #1285) +#1288 := (= #1287 uf_12) +#1289 := (or #1288 #1286) +#1315 := (and #1289 #1309) +#1319 := (or #1276 #1315) +#1176 := (not #784) +#1268 := (not #542) +#1265 := (not #551) +#1262 := (not #560) +#1323 := (and #1262 #1265 #1268 #1176 #930 #1319) +#1225 := (not #846) +#1222 := (not #840) +#1189 := (+ ?x3!1 #806) +#1190 := (>= #1189 0::int) +#1191 := (not #1190) +#1193 := (and #1192 #1191) +#1194 := (not #1193) +#1196 := (+ #1195 #799) +#1197 := (<= #1196 0::int) +#1198 := (or #1197 #1194) +#1199 := (not #1198) +#1218 := (or #1199 #1214) +#1185 := (not #796) +#1243 := (not #886) +#1240 := (not #376) +#1237 := (not #401) +#1234 := (not #367) +#1248 := (and #1234 #1237 #1240 #1243 #1176 #1185 #1218 #1222 #1225 #854) +#1182 := (not #301) +#1179 := (not #310) +#1230 := (and #1179 #1182 #1176 #1185 #1218 #1222 #1225 #891) +#1252 := (or #1230 #1248) +#1258 := (and #1176 #1252 #927) +#1327 := (or #1258 #1323) +#1166 := (not #619) +#1338 := (and #1166 #769 #1176 #1327 #1043) +#1158 := (and #1157 #1155) +#1159 := (not #1158) +#1160 := (or #1159 #1154) +#1161 := (not #1160) +#1342 := (or #1161 #1338) +#1532 := (iff #1342 #1531) +#1529 := (iff #1338 #1526) +#1523 := (and #188 #769 #781 #1520 #1043) +#1527 := (iff #1523 #1526) +#1528 := [rewrite]: #1527 +#1524 := (iff #1338 #1523) +#1521 := (iff #1327 #1520) +#1518 := (iff #1323 #1515) +#1512 := (and #466 #469 #472 #781 #926 #1509) +#1516 := (iff #1512 #1515) +#1517 := [rewrite]: #1516 +#1513 := (iff #1323 #1512) +#1510 := (iff #1319 #1509) +#1507 := (iff #1315 #1506) +#1504 := (iff #1309 #1503) +#1501 := (iff #1308 #1500) +#1498 := (iff #1300 #1495) +#1487 := (+ #972 #1298) +#1490 := (<= #1487 0::int) +#1496 := (iff #1490 #1495) +#1497 := [rewrite]: #1496 +#1491 := (iff #1300 #1490) +#1488 := (= #1299 #1487) +#1489 := [rewrite]: #1488 +#1492 := [monotonicity #1489]: #1491 +#1499 := [trans #1492 #1497]: #1498 +#1485 := (iff #1307 #1484) +#1482 := (iff #1306 #1481) +#1483 := [rewrite]: #1482 +#1486 := [monotonicity #1483]: #1485 +#1502 := [monotonicity #1486 #1499]: #1501 +#1505 := [monotonicity #1502]: #1504 +#1479 := (iff #1289 #1478) +#1476 := (iff #1286 #1475) +#1473 := (iff #1285 #1472) +#1474 := [rewrite]: #1473 +#1477 := [monotonicity #1474]: #1476 +#1470 := (iff #1288 #1469) +#1471 := [rewrite]: #1470 +#1480 := [monotonicity #1471 #1477]: #1479 +#1508 := [monotonicity #1480 #1505]: #1507 +#1511 := [monotonicity #1508]: #1510 +#1367 := (iff #1176 #781) +#1368 := [rewrite]: #1367 +#1467 := (iff #1268 #472) +#1468 := [rewrite]: #1467 +#1465 := (iff #1265 #469) +#1466 := [rewrite]: #1465 +#1463 := (iff #1262 #466) +#1464 := [rewrite]: #1463 +#1514 := [monotonicity #1464 #1466 #1468 #1368 #934 #1511]: #1513 +#1519 := [trans #1514 #1517]: #1518 +#1461 := (iff #1258 #1458) +#1455 := (and #781 #1452 #927) +#1459 := (iff #1455 #1458) +#1460 := [rewrite]: #1459 +#1456 := (iff #1258 #1455) +#1453 := (iff #1252 #1452) +#1450 := (iff #1248 #1447) +#1444 := (and #82 #356 #361 #776 #781 #793 #1419 #837 #843 #854) +#1448 := (iff #1444 #1447) +#1449 := [rewrite]: #1448 +#1445 := (iff #1248 #1444) +#1426 := (iff #1225 #843) +#1427 := [rewrite]: #1426 +#1424 := (iff #1222 #837) +#1425 := [rewrite]: #1424 +#1422 := (iff #1218 #1419) +#1416 := (or #1413 #1214) +#1420 := (iff #1416 #1419) +#1421 := [rewrite]: #1420 +#1417 := (iff #1218 #1416) +#1414 := (iff #1199 #1413) +#1411 := (iff #1198 #1410) +#1408 := (iff #1194 #1407) +#1405 := (iff #1193 #1404) +#1402 := (iff #1191 #1401) +#1399 := (iff #1190 #1396) +#1388 := (+ #806 ?x3!1) +#1391 := (>= #1388 0::int) +#1397 := (iff #1391 #1396) +#1398 := [rewrite]: #1397 +#1392 := (iff #1190 #1391) +#1389 := (= #1189 #1388) +#1390 := [rewrite]: #1389 +#1393 := [monotonicity #1390]: #1392 +#1400 := [trans #1393 #1398]: #1399 +#1403 := [monotonicity #1400]: #1402 +#1406 := [monotonicity #1403]: #1405 +#1409 := [monotonicity #1406]: #1408 +#1386 := (iff #1197 #1383) +#1375 := (+ #799 #1195) +#1378 := (<= #1375 0::int) +#1384 := (iff #1378 #1383) +#1385 := [rewrite]: #1384 +#1379 := (iff #1197 #1378) +#1376 := (= #1196 #1375) +#1377 := [rewrite]: #1376 +#1380 := [monotonicity #1377]: #1379 +#1387 := [trans #1380 #1385]: #1386 +#1412 := [monotonicity #1387 #1409]: #1411 +#1415 := [monotonicity #1412]: #1414 +#1418 := [monotonicity #1415]: #1417 +#1423 := [trans #1418 #1421]: #1422 +#1373 := (iff #1185 #793) +#1374 := [rewrite]: #1373 +#1442 := (iff #1243 #776) +#1443 := [rewrite]: #1442 +#1440 := (iff #1240 #361) +#1441 := [rewrite]: #1440 +#1438 := (iff #1237 #356) +#1439 := [rewrite]: #1438 +#1436 := (iff #1234 #82) +#1437 := [rewrite]: #1436 +#1446 := [monotonicity #1437 #1439 #1441 #1443 #1368 #1374 #1423 #1425 #1427]: #1445 +#1451 := [trans #1446 #1449]: #1450 +#1434 := (iff #1230 #1431) +#1428 := (and #191 #194 #781 #793 #1419 #837 #843 #850) +#1432 := (iff #1428 #1431) +#1433 := [rewrite]: #1432 +#1429 := (iff #1230 #1428) +#1371 := (iff #1182 #194) +#1372 := [rewrite]: #1371 +#1369 := (iff #1179 #191) +#1370 := [rewrite]: #1369 +#1430 := [monotonicity #1370 #1372 #1368 #1374 #1423 #1425 #1427 #895]: #1429 +#1435 := [trans #1430 #1433]: #1434 +#1454 := [monotonicity #1435 #1451]: #1453 +#1457 := [monotonicity #1368 #1454]: #1456 +#1462 := [trans #1457 #1460]: #1461 +#1522 := [monotonicity #1462 #1519]: #1521 +#1365 := (iff #1166 #188) +#1366 := [rewrite]: #1365 +#1525 := [monotonicity #1366 #1368 #1522]: #1524 +#1530 := [trans #1525 #1528]: #1529 +#1363 := (iff #1161 #1362) +#1360 := (iff #1160 #1357) +#1354 := (or #1351 #1154) +#1358 := (iff #1354 #1357) +#1359 := [rewrite]: #1358 +#1355 := (iff #1160 #1354) +#1352 := (iff #1159 #1351) +#1349 := (iff #1158 #1348) +#1350 := [rewrite]: #1349 +#1353 := [monotonicity #1350]: #1352 +#1356 := [monotonicity #1353]: #1355 +#1361 := [trans #1356 #1359]: #1360 +#1364 := [monotonicity #1361]: #1363 +#1533 := [monotonicity #1364 #1530]: #1532 +#1138 := (or #619 #772 #784 #1021 #1046) +#1143 := (and #769 #1138) +#1146 := (not #1143) +#1343 := (~ #1146 #1342) +#1339 := (not #1138) +#1340 := (~ #1339 #1338) +#1335 := (not #1046) +#1336 := (~ #1335 #1043) +#1333 := (~ #1043 #1043) +#1331 := (~ #1040 #1040) +#1332 := [refl]: #1331 +#1334 := [nnf-pos #1332]: #1333 +#1337 := [nnf-neg #1334]: #1336 +#1328 := (not #1021) +#1329 := (~ #1328 #1327) +#1324 := (not #1016) +#1325 := (~ #1324 #1323) +#1320 := (not #991) +#1321 := (~ #1320 #1319) +#1316 := (not #988) +#1317 := (~ #1316 #1315) +#1310 := (not #985) +#1311 := (~ #1310 #1309) +#1312 := [sk]: #1311 +#1294 := (not #969) +#1295 := (~ #1294 #1289) +#1290 := (~ #966 #1289) +#1291 := [sk]: #1290 +#1296 := [nnf-neg #1291]: #1295 +#1318 := [nnf-neg #1296 #1312]: #1317 +#1277 := (~ #969 #1276) +#1274 := (~ #1273 #1273) +#1275 := [refl]: #1274 +#1278 := [nnf-neg #1275]: #1277 +#1322 := [nnf-neg #1278 #1318]: #1321 +#1271 := (~ #930 #930) +#1272 := [refl]: #1271 +#1177 := (~ #1176 #1176) +#1178 := [refl]: #1177 +#1269 := (~ #1268 #1268) +#1270 := [refl]: #1269 +#1266 := (~ #1265 #1265) +#1267 := [refl]: #1266 +#1263 := (~ #1262 #1262) +#1264 := [refl]: #1263 +#1326 := [nnf-neg #1264 #1267 #1270 #1178 #1272 #1322]: #1325 +#1259 := (not #946) +#1260 := (~ #1259 #1258) +#1256 := (~ #927 #927) +#1257 := [refl]: #1256 +#1253 := (not #921) +#1254 := (~ #1253 #1252) +#1249 := (not #916) +#1250 := (~ #1249 #1248) +#1246 := (~ #854 #854) +#1247 := [refl]: #1246 +#1226 := (~ #1225 #1225) +#1227 := [refl]: #1226 +#1223 := (~ #1222 #1222) +#1224 := [refl]: #1223 +#1219 := (not #833) +#1220 := (~ #1219 #1218) +#1215 := (not #828) +#1216 := (~ #1215 #1214) +#1211 := (not #822) +#1212 := (~ #1211 #819) +#1209 := (~ #819 #819) +#1207 := (~ #816 #816) +#1208 := [refl]: #1207 +#1210 := [nnf-pos #1208]: #1209 +#1213 := [nnf-neg #1210]: #1212 +#1205 := (~ #1204 #1204) +#1206 := [refl]: #1205 +#1217 := [nnf-neg #1206 #1213]: #1216 +#1200 := (~ #822 #1199) +#1201 := [sk]: #1200 +#1221 := [nnf-neg #1201 #1217]: #1220 +#1186 := (~ #1185 #1185) +#1187 := [refl]: #1186 +#1244 := (~ #1243 #1243) +#1245 := [refl]: #1244 +#1241 := (~ #1240 #1240) +#1242 := [refl]: #1241 +#1238 := (~ #1237 #1237) +#1239 := [refl]: #1238 +#1235 := (~ #1234 #1234) +#1236 := [refl]: #1235 +#1251 := [nnf-neg #1236 #1239 #1242 #1245 #1178 #1187 #1221 #1224 #1227 #1247]: #1250 +#1231 := (not #881) +#1232 := (~ #1231 #1230) +#1228 := (~ #891 #891) +#1229 := [refl]: #1228 +#1183 := (~ #1182 #1182) +#1184 := [refl]: #1183 +#1180 := (~ #1179 #1179) +#1181 := [refl]: #1180 +#1233 := [nnf-neg #1181 #1184 #1178 #1187 #1221 #1224 #1227 #1229]: #1232 +#1255 := [nnf-neg #1233 #1251]: #1254 +#1261 := [nnf-neg #1178 #1255 #1257]: #1260 +#1330 := [nnf-neg #1261 #1326]: #1329 +#1173 := (not #772) +#1174 := (~ #1173 #769) +#1171 := (~ #769 #769) +#1169 := (~ #766 #766) +#1170 := [refl]: #1169 +#1172 := [nnf-pos #1170]: #1171 +#1175 := [nnf-neg #1172]: #1174 +#1167 := (~ #1166 #1166) +#1168 := [refl]: #1167 +#1341 := [nnf-neg #1168 #1175 #1178 #1330 #1337]: #1340 +#1162 := (~ #772 #1161) +#1163 := [sk]: #1162 +#1344 := [nnf-neg #1163 #1341]: #1343 +#1110 := (not #1075) +#1147 := (iff #1110 #1146) +#1144 := (iff #1075 #1143) +#1141 := (iff #1072 #1138) +#1123 := (or #619 #784 #1021 #1046) +#1135 := (or #772 #1123) +#1139 := (iff #1135 #1138) +#1140 := [rewrite]: #1139 +#1136 := (iff #1072 #1135) +#1133 := (iff #1069 #1123) +#1128 := (and true #1123) +#1131 := (iff #1128 #1123) +#1132 := [rewrite]: #1131 +#1129 := (iff #1069 #1128) +#1126 := (iff #1064 #1123) +#1120 := (or false #619 #784 #1021 #1046) +#1124 := (iff #1120 #1123) +#1125 := [rewrite]: #1124 +#1121 := (iff #1064 #1120) +#1118 := (iff #652 false) +#1116 := (iff #652 #740) +#1115 := (iff #9 true) +#1113 := [iff-true #1109]: #1115 +#1117 := [monotonicity #1113]: #1116 +#1119 := [trans #1117 #744]: #1118 +#1122 := [monotonicity #1119]: #1121 +#1127 := [trans #1122 #1125]: #1126 +#1130 := [monotonicity #1113 #1127]: #1129 +#1134 := [trans #1130 #1132]: #1133 +#1137 := [monotonicity #1134]: #1136 +#1142 := [trans #1137 #1140]: #1141 +#1145 := [monotonicity #1142]: #1144 +#1148 := [monotonicity #1145]: #1147 +#1111 := [not-or-elim #1108]: #1110 +#1149 := [mp #1111 #1148]: #1146 +#1345 := [mp~ #1149 #1344]: #1342 +#1346 := [mp #1345 #1533]: #1531 +#1830 := [mp #1346 #1829]: #1825 +#2396 := [mp #1830 #2395]: #2393 +#1909 := [unit-resolution #2396 #2199]: #2390 +#2214 := (or #2387 #2381) +#2210 := [def-axiom]: #2214 +#2414 := [unit-resolution #2210 #1909]: #2381 +#2426 := (uf_3 uf_11) +#2430 := (= uf_12 #2426) +#2480 := (= #36 #2426) +#2478 := (= #2426 #36) +#2463 := [hypothesis]: #2378 +#2138 := (or #2375 #466) +#2139 := [def-axiom]: #2138 +#2474 := [unit-resolution #2139 #2463]: #466 +#2475 := [symm #2474]: #98 +#2479 := [monotonicity #2475]: #2478 +#2481 := [symm #2479]: #2480 +#2482 := (= uf_12 #36) +#2221 := (or #2387 #188) +#2222 := [def-axiom]: #2221 +#2476 := [unit-resolution #2222 #1909]: #188 +#2132 := (or #2375 #469) +#2140 := [def-axiom]: #2132 +#2466 := [unit-resolution #2140 #2463]: #469 +#2477 := [symm #2466]: #100 +#2483 := [trans #2477 #2476]: #2482 +#2484 := [trans #2483 #2481]: #2430 +#2458 := (not #2430) +#2424 := (>= uf_11 0::int) +#2425 := (not #2424) +#2421 := (* -1::int uf_11) +#2422 := (+ uf_1 #2421) +#2423 := (<= #2422 0::int) +#2436 := (or #2423 #2425 #2430) +#2441 := (not #2436) +#2227 := (or #2375 #2369) +#2219 := [def-axiom]: #2227 +#2464 := [unit-resolution #2219 #2463]: #2369 +#2238 := (or #2375 #926) +#2225 := [def-axiom]: #2238 +#2465 := [unit-resolution #2225 #2463]: #926 +#2031 := (+ uf_6 #972) +#2032 := (<= #2031 0::int) +#2467 := (or #551 #2032) +#2468 := [th-lemma]: #2467 +#2469 := [unit-resolution #2468 #2466]: #2032 +#1925 := (not #2032) +#1915 := (or #1795 #1925 #927) +#2004 := (+ uf_4 #1301) +#2005 := (<= #2004 0::int) +#1918 := (not #2005) +#1910 := [hypothesis]: #926 +#1911 := [hypothesis]: #1798 +#2086 := (or #1795 #1304) +#2239 := [def-axiom]: #2086 +#1916 := [unit-resolution #2239 #1911]: #1304 +#1919 := (or #1918 #927 #1303) +#1921 := [th-lemma]: #1919 +#1917 := [unit-resolution #1921 #1916 #1910]: #1918 +#2021 := (+ uf_6 #1493) +#2022 := (>= #2021 0::int) +#1930 := (not #2022) +#1936 := [hypothesis]: #2032 +#2243 := (not #1495) +#2241 := (or #1795 #2243) +#2244 := [def-axiom]: #2241 +#1922 := [unit-resolution #2244 #1911]: #2243 +#1931 := (or #1930 #1495 #1925) +#1924 := [hypothesis]: #2243 +#1926 := [hypothesis]: #2022 +#1927 := [th-lemma #1926 #1924 #1936]: false +#1906 := [lemma #1927]: #1931 +#1905 := [unit-resolution #1906 #1922 #1936]: #1930 +#1913 := (or #2005 #2022) +#2240 := (or #1795 #1305) +#2242 := [def-axiom]: #2240 +#1908 := [unit-resolution #2242 #1911]: #1305 +#2212 := (or #2387 #2312) +#2213 := [def-axiom]: #2212 +#1912 := [unit-resolution #2213 #1909]: #2312 +#1994 := (or #2317 #1731 #2005 #2022) +#2034 := (+ ?x8!3 #924) +#2035 := (>= #2034 0::int) +#2036 := (+ #1298 #1024) +#2037 := (<= #2036 0::int) +#2026 := (or #1731 #2037 #2035) +#1961 := (or #2317 #2026) +#1971 := (iff #1961 #1994) +#1991 := (or #1731 #2005 #2022) +#1964 := (or #2317 #1991) +#1969 := (iff #1964 #1994) +#1970 := [rewrite]: #1969 +#1955 := (iff #1961 #1964) +#1993 := (iff #2026 #1991) +#2008 := (or #1731 #2022 #2005) +#1983 := (iff #2008 #1991) +#1992 := [rewrite]: #1983 +#1989 := (iff #2026 #2008) +#2007 := (iff #2035 #2005) +#2010 := (+ #924 ?x8!3) +#2012 := (>= #2010 0::int) +#1997 := (iff #2012 #2005) +#2006 := [rewrite]: #1997 +#2014 := (iff #2035 #2012) +#2011 := (= #2034 #2010) +#2013 := [rewrite]: #2011 +#2003 := [monotonicity #2013]: #2014 +#1998 := [trans #2003 #2006]: #2007 +#2024 := (iff #2037 #2022) +#2038 := (+ #1024 #1298) +#2018 := (<= #2038 0::int) +#2023 := (iff #2018 #2022) +#2016 := [rewrite]: #2023 +#2019 := (iff #2037 #2018) +#2015 := (= #2036 #2038) +#2017 := [rewrite]: #2015 +#2020 := [monotonicity #2017]: #2019 +#2009 := [trans #2020 #2016]: #2024 +#1990 := [monotonicity #2009 #1998]: #1989 +#1984 := [trans #1990 #1992]: #1993 +#1968 := [monotonicity #1984]: #1955 +#1972 := [trans #1968 #1970]: #1971 +#1963 := [quant-inst]: #1961 +#1962 := [mp #1963 #1972]: #1994 +#1914 := [unit-resolution #1962 #1912 #1908]: #1913 +#1907 := [unit-resolution #1914 #1905 #1917]: false +#1900 := [lemma #1907]: #1915 +#2470 := [unit-resolution #1900 #2469 #2465]: #1795 +#2121 := (or #2372 #2364 #1798) +#2136 := [def-axiom]: #2121 +#2471 := [unit-resolution #2136 #2470 #2464]: #2364 +#2235 := (not #2364) +#2444 := (or #2235 #2441) +#2427 := (= #2426 uf_12) +#2428 := (or #2427 #2425 #2423) +#2429 := (not #2428) +#2445 := (or #2235 #2429) +#2447 := (iff #2445 #2444) +#2449 := (iff #2444 #2444) +#2450 := [rewrite]: #2449 +#2442 := (iff #2429 #2441) +#2439 := (iff #2428 #2436) +#2433 := (or #2430 #2425 #2423) +#2437 := (iff #2433 #2436) +#2438 := [rewrite]: #2437 +#2434 := (iff #2428 #2433) +#2431 := (iff #2427 #2430) +#2432 := [rewrite]: #2431 +#2435 := [monotonicity #2432]: #2434 +#2440 := [trans #2435 #2438]: #2439 +#2443 := [monotonicity #2440]: #2442 +#2448 := [monotonicity #2443]: #2447 +#2451 := [trans #2448 #2450]: #2447 +#2446 := [quant-inst]: #2445 +#2452 := [mp #2446 #2451]: #2444 +#2472 := [unit-resolution #2452 #2471]: #2441 +#2459 := (or #2436 #2458) +#2460 := [def-axiom]: #2459 +#2473 := [unit-resolution #2460 #2472]: #2458 +#2485 := [unit-resolution #2473 #2484]: false +#2486 := [lemma #2485]: #2375 +#2231 := (or #2384 #2361 #2378) +#2220 := [def-axiom]: #2231 +#2415 := [unit-resolution #2220 #2486 #2414]: #2361 +#2106 := (or #2358 #2352) +#2248 := [def-axiom]: #2106 +#2416 := [unit-resolution #2248 #2415]: #2352 +#2417 := [hypothesis]: #840 +#2285 := (or #2340 #837) +#1923 := [def-axiom]: #2285 +#2418 := [unit-resolution #1923 #2417]: #2340 +#1987 := (or #2346 #837) +#1988 := [def-axiom]: #1987 +#2419 := [unit-resolution #1988 #2417]: #2346 +#2255 := (or #2355 #2343 #2349) +#2256 := [def-axiom]: #2255 +#2420 := [unit-resolution #2256 #2419 #2418 #2416]: false +#2403 := [lemma #2420]: #837 +#2690 := (or #840 #1977) +#2691 := [th-lemma]: #2690 +#2692 := [unit-resolution #2691 #2403]: #1977 +#2661 := [hypothesis]: #2349 +#2272 := (or #2346 #361) +#2273 := [def-axiom]: #2272 +#2662 := [unit-resolution #2273 #2661]: #361 +#2629 := (= #58 #1195) +#2642 := (not #2629) +#2630 := (+ #58 #1381) +#2632 := (>= #2630 0::int) +#2636 := (not #2632) +#2402 := (+ #39 #799) +#2405 := (<= #2402 0::int) +#2404 := (= #39 uf_8) +#2665 := (= uf_10 uf_8) +#2000 := (or #2346 #82) +#2001 := [def-axiom]: #2000 +#2663 := [unit-resolution #2001 #2661]: #82 +#2666 := [symm #2663]: #2665 +#2002 := (or #2346 #356) +#1896 := [def-axiom]: #2002 +#2664 := [unit-resolution #1896 #2661]: #356 +#2667 := [trans #2664 #2666]: #2404 +#2668 := (not #2404) +#2669 := (or #2668 #2405) +#2670 := [th-lemma]: #2669 +#2671 := [unit-resolution #2670 #2667]: #2405 +#1966 := (not #1383) +#1982 := (or #2346 #2334) +#2264 := [def-axiom]: #1982 +#2672 := [unit-resolution #2264 #2661]: #2334 +#2537 := (= #39 #58) +#2674 := (= #58 #39) +#2673 := [symm #2662]: #81 +#2675 := [monotonicity #2673]: #2674 +#2677 := [symm #2675]: #2537 +#2678 := (= uf_8 #39) +#2676 := [symm #2664]: #79 +#2679 := [trans #2663 #2676]: #2678 +#2680 := [trans #2679 #2677]: #221 +#1981 := (or #2328 #1204) +#1960 := [def-axiom]: #1981 +#2681 := [unit-resolution #1960 #2680]: #2328 +#1953 := (or #2337 #2331 #1645) +#2294 := [def-axiom]: #1953 +#2682 := [unit-resolution #2294 #2681 #2672]: #1645 +#2298 := (or #1640 #1966) +#2299 := [def-axiom]: #2298 +#2683 := [unit-resolution #2299 #2682]: #1966 +#2033 := (* -1::int #58) +#2538 := (+ #39 #2033) +#2540 := (>= #2538 0::int) +#2684 := (not #2537) +#2685 := (or #2684 #2540) +#2686 := [th-lemma]: #2685 +#2687 := [unit-resolution #2686 #2677]: #2540 +#2617 := (not #2405) +#2637 := (not #2540) +#2638 := (or #2636 #2637 #1383 #2617) +#2633 := [hypothesis]: #2632 +#2609 := [hypothesis]: #2405 +#2610 := [hypothesis]: #1966 +#2634 := [hypothesis]: #2540 +#2635 := [th-lemma #2634 #2610 #2609 #2633]: false +#2639 := [lemma #2635]: #2638 +#2688 := [unit-resolution #2639 #2687 #2683 #2671]: #2636 +#2643 := (or #2642 #2632) +#2644 := [th-lemma]: #2643 +#2689 := [unit-resolution #2644 #2688]: #2642 +#2300 := (or #1640 #1401) +#2301 := [def-axiom]: #2300 +#2693 := [unit-resolution #2301 #2682]: #1401 +#2694 := (not #1977) +#2695 := (or #2628 #1396 #2694) +#2696 := [th-lemma]: #2695 +#2697 := [unit-resolution #2696 #2693 #2692]: #2628 +#2565 := (<= #2564 0::int) +#2552 := (+ uf_6 #1381) +#2553 := (>= #2552 0::int) +#2699 := (not #2553) +#2266 := (or #2346 #854) +#2267 := [def-axiom]: #2266 +#2698 := [unit-resolution #2267 #2661]: #854 +#2700 := (or #2699 #1383 #2617 #850) +#2701 := [th-lemma]: #2700 +#2702 := [unit-resolution #2701 #2683 #2671 #2698]: #2699 +#2704 := (or #2553 #2565) +#2291 := (or #1640 #1192) +#1965 := [def-axiom]: #2291 +#2703 := [unit-resolution #1965 #2682]: #1192 +#2573 := (or #2317 #1625 #2553 #2565) +#2541 := (+ ?x3!1 #924) +#2542 := (>= #2541 0::int) +#2543 := (+ #1195 #1024) +#2544 := (<= #2543 0::int) +#2545 := (or #1625 #2544 #2542) +#2574 := (or #2317 #2545) +#2581 := (iff #2574 #2573) +#2570 := (or #1625 #2553 #2565) +#2576 := (or #2317 #2570) +#2579 := (iff #2576 #2573) +#2580 := [rewrite]: #2579 +#2577 := (iff #2574 #2576) +#2571 := (iff #2545 #2570) +#2568 := (iff #2542 #2565) +#2558 := (+ #924 ?x3!1) +#2561 := (>= #2558 0::int) +#2566 := (iff #2561 #2565) +#2567 := [rewrite]: #2566 +#2562 := (iff #2542 #2561) +#2559 := (= #2541 #2558) +#2560 := [rewrite]: #2559 +#2563 := [monotonicity #2560]: #2562 +#2569 := [trans #2563 #2567]: #2568 +#2556 := (iff #2544 #2553) +#2546 := (+ #1024 #1195) +#2549 := (<= #2546 0::int) +#2554 := (iff #2549 #2553) +#2555 := [rewrite]: #2554 +#2550 := (iff #2544 #2549) +#2547 := (= #2543 #2546) +#2548 := [rewrite]: #2547 +#2551 := [monotonicity #2548]: #2550 +#2557 := [trans #2551 #2555]: #2556 +#2572 := [monotonicity #2557 #2569]: #2571 +#2578 := [monotonicity #2572]: #2577 +#2582 := [trans #2578 #2580]: #2581 +#2575 := [quant-inst]: #2574 +#2583 := [mp #2575 #2582]: #2573 +#2705 := [unit-resolution #2583 #1912 #2703]: #2704 +#2706 := [unit-resolution #2705 #2702]: #2565 +#2708 := (not #2628) +#2707 := (not #2565) +#2709 := (or #2631 #2707 #2708) +#2710 := [th-lemma]: #2709 +#2711 := [unit-resolution #2710 #2706 #2697]: #2631 +#2658 := (not #2631) +#2659 := (or #2658 #2629 #376) +#2654 := (= #1195 #58) +#2652 := (= ?x3!1 uf_7) +#2648 := [hypothesis]: #361 +#2650 := (= ?x3!1 uf_4) +#2649 := [hypothesis]: #2631 +#2651 := [symm #2649]: #2650 +#2653 := [trans #2651 #2648]: #2652 +#2655 := [monotonicity #2653]: #2654 +#2656 := [symm #2655]: #2629 +#2647 := [hypothesis]: #2642 +#2657 := [unit-resolution #2647 #2656]: false +#2660 := [lemma #2657]: #2659 +#2712 := [unit-resolution #2660 #2711 #2689 #2662]: false +#2713 := [lemma #2712]: #2346 +#2766 := [unit-resolution #2256 #2713 #2416]: #2343 +#1928 := (or #2340 #2334) +#1929 := [def-axiom]: #1928 +#2767 := [unit-resolution #1929 #2766]: #2334 +#2515 := (= #36 #58) +#2772 := (= #58 #36) +#1937 := (or #2340 #191) +#2278 := [def-axiom]: #1937 +#2768 := [unit-resolution #2278 #2766]: #191 +#2769 := [symm #2768]: #42 +#2773 := [monotonicity #2769]: #2772 +#2774 := [symm #2773]: #2515 +#2775 := (= uf_8 #36) +#1941 := (or #2340 #194) +#1942 := [def-axiom]: #1941 +#2770 := [unit-resolution #1942 #2766]: #194 +#2771 := [symm #2770]: #44 +#2776 := [trans #2771 #2476]: #2775 +#2777 := [trans #2776 #2774]: #221 +#2778 := [unit-resolution #1960 #2777]: #2328 +#2779 := [unit-resolution #2294 #2778 #2767]: #1645 +#2780 := [unit-resolution #2301 #2779]: #1401 +#2781 := [unit-resolution #2696 #2780 #2692]: #2628 +#2510 := (+ uf_6 #799) +#2511 := (<= #2510 0::int) +#2782 := (or #301 #2511) +#2783 := [th-lemma]: #2782 +#2784 := [unit-resolution #2783 #2770]: #2511 +#2785 := [unit-resolution #2299 #2779]: #1966 +#2786 := (not #2511) +#2787 := (or #2699 #1383 #2786) +#2788 := [th-lemma]: #2787 +#2789 := [unit-resolution #2788 #2785 #2784]: #2699 +#2790 := [unit-resolution #1965 #2779]: #1192 +#2791 := [unit-resolution #2583 #1912 #2790 #2789]: #2565 +#2792 := [unit-resolution #2710 #2791 #2781]: #2631 +#2793 := [monotonicity #2792]: #2762 +#2794 := (not #2762) +#2795 := (or #2794 #2765) +#2796 := [th-lemma]: #2795 +#2797 := [unit-resolution #2796 #2793]: #2765 +#2286 := (or #2340 #850) +#2288 := [def-axiom]: #2286 +#2798 := [unit-resolution #2288 #2766]: #850 +[th-lemma #2798 #2785 #2784 #2797]: false +unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/VCC_b_maximum --- a/src/HOL/Boogie/Examples/cert/VCC_b_maximum Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,687 +0,0 @@ -(benchmark Isabelle -:extrasorts ( T2 T5 T8 T3 T15 T16 T4 T1 T6 T17 T11 T18 T7 T9 T13 T14 T12 T10 T19) -:extrafuns ( - (uf_9 T2) - (uf_48 T5 T3 T2) - (uf_26 T5) - (uf_72 T3 Int Int Int) - (uf_126 T5 T15 T5) - (uf_66 T5 Int T3 T5) - (uf_43 T3 Int T5) - (uf_116 T5 Int) - (uf_15 T5 T3) - (uf_81 Int Int Int) - (uf_80 Int Int Int) - (uf_70 T3 Int Int Int) - (uf_69 Int Int Int) - (uf_73 T3 Int Int) - (uf_101 T3 Int Int Int) - (uf_100 Int Int Int) - (uf_71 T3 Int Int Int) - (uf_46 T4 T4 T5 T3 T2) - (uf_121 T5) - (uf_53 T4 T5 T6) - (uf_163 T5 T6) - (uf_79 Int Int) - (uf_124 T3 Int T3) - (uf_259 T3 T3 T3) - (uf_25 T4 T5 T5) - (uf_27 T4 T5 T2) - (uf_255 T3) - (uf_254 T3) - (uf_94 T3) - (uf_90 T3) - (uf_87 T3) - (uf_83 T3) - (uf_7 T3) - (uf_91 T3) - (uf_4 T3) - (uf_84 T3) - (uf_24 T4 T5 T2) - (uf_10 T4 T5 T6) - (uf_128 T4 T5 T6) - (uf_253 Int) - (uf_20 T4 T9) - (uf_6 T3 T3) - (uf_224 T17 T17 T2) - (uf_153 T6 T6 T2) - (uf_13 T5 T6 T2) - (uf_138 T3 Int) - (uf_136 T14 T5) - (uf_5 T3) - (uf_291 T1) - (uf_122 T2 T2) - (uf_207 T4 T4 T5 T5 T2) - (uf_14 T3 T8) - (uf_61 T4 T5 T2) - (uf_114 T4 T5 Int) - (uf_113 T4 T5 Int) - (uf_112 T4 T5 Int) - (uf_111 T4 T5 Int) - (uf_110 T4 T5 Int) - (uf_109 T4 T5 Int) - (uf_108 T4 T5 Int) - (uf_107 T4 T5 Int) - (uf_38 T4 T5 Int) - (uf_169 T4 T4 T5 T5 T4) - (uf_145 T5 T6 T2) - (uf_147 T5 T6 T2) - (uf_59 T4 T13) - (uf_232 T4 T5 T18) - (uf_258 T3) - (uf_240 T3) - (uf_284 T16) - (uf_188 T4 T5 T5 T5 T5) - (uf_65 T4 T5 T3 Int T2) - (uf_95 Int) - (uf_92 Int) - (uf_88 Int) - (uf_85 Int) - (uf_78 Int) - (uf_77 Int) - (uf_76 Int) - (uf_75 Int) - (uf_96 Int) - (uf_93 Int) - (uf_89 Int) - (uf_86 Int) - (uf_42 T5) - (uf_230 T17) - (uf_173 T4 T5 T5 T11) - (uf_215 T11 T5) - (uf_266 T3 T3) - (uf_233 T18 T4) - (uf_37 T3) - (uf_279 T1) - (uf_281 T1) - (uf_287 T1) - (uf_99 Int Int Int Int Int Int) - (uf_55 T4 T2) - (uf_60 Int T3 T5) - (uf_246 Int T5) - (uf_220 T5 T15 Int) - (uf_196 T4 T5 T5 T2) - (uf_264 T3 T3) - (uf_142 T3 Int) - (uf_117 T5 Int) - (uf_119 T5 Int) - (uf_118 T5 Int) - (uf_120 T5 Int) - (uf_222 T17 T15 Int) - (uf_152 T6) - (uf_157 T6 T6 T6) - (uf_41 T4 T12) - (uf_174 T4 T5 T5 T4) - (uf_170 T4 T5 Int) - (uf_82 T3 Int Int) - (uf_106 T3 Int Int Int) - (uf_103 T3 Int Int Int) - (uf_102 T3 Int Int Int) - (uf_104 T3 Int Int Int) - (uf_105 T3 Int Int Int) - (uf_241 T15 Int T15) - (uf_50 T5 T5 T2) - (uf_245 Int T15) - (uf_51 T4 T2) - (uf_74 T3 Int T2) - (uf_195 T4 T5 T5 T2) - (uf_28 Int T5) - (uf_262 T8) - (uf_161 T5 Int T5) - (uf_265 T3 T3) - (uf_47 T4 T5 T2) - (uf_29 T5 Int) - (uf_201 T4 T5 T3 T5) - (uf_229 T17 T15 Int T17) - (uf_179 T4 T4 T5 T3 T2) - (uf_154 T6 T6 T2) - (uf_39 T11 Int) - (uf_172 T12 T5 T11 T12) - (uf_251 T13 T5 T14 T13) - (uf_175 T4 T5 T5 T11) - (uf_176 T4 T5 Int T4) - (uf_192 T7 T6) - (uf_257 T3) - (uf_132 T5 T3 Int T6) - (uf_139 T5 T5 T2) - (uf_276 T19 Int) - (uf_130 T5 T6) - (uf_44 T4 T2) - (uf_261 T8) - (uf_248 T3 T3 Int) - (uf_249 T3 T3 Int) - (uf_181 T4 T4 T2) - (uf_221 Int Int T2) - (uf_160 T5 Int T5) - (uf_40 T12 T5 T11) - (uf_58 T13 T5 T14) - (uf_178 T9 T5 Int T9) - (uf_235 T18) - (uf_49 T4 T5 T2) - (uf_234 T18 Int) - (uf_267 T3) - (uf_143 T3 Int) - (uf_243 T15 T15) - (uf_242 T15 Int) - (uf_54 T5 T5 T2) - (uf_144 T3 T3) - (uf_237 T15 Int) - (uf_148 T5 T2) - (uf_283 Int T5 T2) - (uf_125 T5 T5 Int) - (uf_141 T3 T2) - (uf_260 T3 T2) - (uf_57 T3 T2) - (uf_23 T3 T2) - (uf_159 T5 T5 T5) - (uf_12 T4 T5 T7) - (uf_19 T9 T5 Int) - (uf_131 T6 T6 T2) - (uf_149 T6) - (uf_217 T11 Int) - (uf_67 T4 T5 T2) - (uf_219 T3) - (uf_268 T3) - (uf_289 T1) - (uf_134 T5 T3 Int T6) - (uf_189 T5 T7) - (uf_183 T10 T5 Int) - (uf_62 Int Int) - (uf_63 Int Int) - (uf_200 T4 T5 T5 T16 T2) - (uf_140 T5 T3 T5) - (uf_34 Int T6) - (uf_225 Int T17) - (uf_56 T3 T2) - (uf_208 T3 T2) - (uf_35 T6 Int) - (uf_231 T17 T15 Int Int Int Int T17) - (uf_226 T17 Int) - (uf_151 T5 T6) - (uf_162 T4 T5 T6) - (uf_256 T3) - (uf_45 T4 T5 T2) - (uf_203 T4 T2) - (uf_202 T1 T4 T2) - (uf_198 T4 T5 T5 T16 T2) - (uf_32 Int T7) - (uf_185 T3 T15 T15 T2) - (uf_211 T4 T5 T2) - (uf_228 T3 T2) - (uf_263 T8) - (uf_16 T8) - (uf_214 T3 T15) - (uf_156 T6 T6 T6) - (uf_206 T4 T4 T5 T3 T2) - (uf_135 T14 T2) - (uf_33 T7 Int) - (uf_275 T1) - (uf_177 T4 T4 T2) - (uf_133 T5 T6 T6 Int) - (uf_186 T5 T5 T2) - (uf_247 T3 T3 Int Int T2) - (uf_227 T3 T15 T3 T2) - (uf_127 T4 T5 T6) - (uf_150 T6 Int) - (uf_286 T1) - (uf_288 T1) - (uf_295 T1) - (uf_290 T1) - (uf_305 T1) - (uf_18 T5 T2) - (uf_22 T3 T2) - (uf_184 T4 T5 T10) - (uf_155 T6 T6 T6) - (uf_303 T1) - (uf_306 T1) - (uf_97 Int Int Int Int Int) - (uf_236 T5 T15 T5) - (uf_171 T4 Int) - (uf_8 T4 T4 T5 T6 T2) - (uf_11 T7 T5 Int) - (uf_238 T15 T3) - (uf_210 T4 T5 T2) - (uf_180 T3 T15 T2) - (uf_252 T3) - (uf_64 Int Int T5) - (uf_30 Int T10) - (uf_31 T10 Int) - (uf_98 Int Int Int Int Int) - (uf_277 Int) - (uf_164 T4 T2) - (uf_21 T4 T4 T6 T2) - (uf_115 T5 T5 Int) - (uf_167 T5) - (uf_168 Int) - (uf_129 T5 T3 Int T6) - (uf_123 T4 T4 T5 T3 T2) - (uf_17 T4 T4 T6 T2) - (uf_239 T5 T15 Int) - (uf_166 T3) - (uf_223 T15 T15) - (uf_191 T4 T2) - (uf_137 T4 T5 T3 Int T2 T2) - (uf_158 T5 T6) - (uf_204 T4 T4 T5 T3 T2) - (uf_187 T15 Int T2) - (uf_190 T15 T2) - (uf_2 T1) - (uf_194 T15 Int T3 T2) - (uf_273 T4) - (uf_270 Int) - (uf_269 Int) - (uf_274 Int) - (uf_272 Int) - (uf_294 Int) - (uf_302 Int) - (uf_297 Int) - (uf_285 Int) - (uf_292 Int) - (uf_304 Int) - (uf_300 Int) - (uf_296 Int) - (uf_271 Int) - (uf_299 Int) - (uf_293 Int) - (uf_301 Int) - (uf_298 Int) - (uf_282 Int) - ) -:extrapreds ( - (up_199 T4 T5 T16) - (up_146 T5 T6) - (up_213 T14) - (up_209 T4 T5 T3) - (up_250 T3 T3) - (up_218 T11) - (up_1 Int T1) - (up_36 T3) - (up_3 Int T3) - (up_244 T15) - (up_212 T11) - (up_280 T4 T1 T1 Int T3) - (up_182 Int) - (up_216) - (up_68 T14) - (up_193 T2) - (up_52 T6) - (up_278 T4 T1 T1 T5 T3) - (up_197 T3) - (up_165 T4) - (up_205 T4 T4 T5 T3) - ) -:assumption (up_1 1 uf_2) -:assumption (up_3 1 uf_4) -:assumption (= uf_5 (uf_6 uf_7)) -:assumption (forall (?x1 T4) (?x2 T4) (?x3 T5) (?x4 T6) (iff (= (uf_8 ?x1 ?x2 ?x3 ?x4) uf_9) (and (= (uf_10 ?x1 ?x3) (uf_10 ?x2 ?x3)) (forall (?x5 T5) (implies (and (not (= (uf_13 ?x5 ?x4) uf_9)) (= (uf_14 (uf_15 ?x5)) uf_16)) (= (uf_11 (uf_12 ?x1 ?x3) ?x5) (uf_11 (uf_12 ?x2 ?x3) ?x5))) :pat { (uf_11 (uf_12 ?x2 ?x3) ?x5) }))) :pat { (uf_8 ?x1 ?x2 ?x3 ?x4) }) -:assumption (forall (?x6 T4) (?x7 T4) (?x8 T6) (implies (forall (?x9 T5) (implies (and (not (= (uf_14 (uf_15 ?x9)) uf_16)) (= (uf_13 ?x9 ?x8) uf_9)) (or (= (uf_8 ?x6 ?x7 ?x9 ?x8) uf_9) (= (uf_19 (uf_20 ?x6) ?x9) (uf_19 (uf_20 ?x7) ?x9)))) :pat { (uf_18 ?x9) }) (= (uf_17 ?x6 ?x7 ?x8) uf_9)) :pat { (uf_17 ?x6 ?x7 ?x8) }) -:assumption (forall (?x10 T4) (?x11 T4) (?x12 T6) (implies (forall (?x13 T5) (implies (or (= (uf_22 (uf_15 ?x13)) uf_9) (= (uf_23 (uf_15 ?x13)) uf_9)) (implies (and (not (or (and (= (uf_24 ?x10 ?x13) uf_9) (= (uf_14 (uf_15 ?x13)) uf_16)) (not (= (uf_25 ?x10 ?x13) uf_26)))) (= (uf_27 ?x10 ?x13) uf_9)) (or (= (uf_13 ?x13 ?x12) uf_9) (= (uf_19 (uf_20 ?x10) ?x13) (uf_19 (uf_20 ?x11) ?x13))))) :pat { (uf_18 ?x13) }) (= (uf_21 ?x10 ?x11 ?x12) uf_9)) :pat { (uf_21 ?x10 ?x11 ?x12) }) -:assumption (forall (?x14 T5) (= (uf_28 (uf_29 ?x14)) ?x14)) -:assumption (forall (?x15 T10) (= (uf_30 (uf_31 ?x15)) ?x15)) -:assumption (forall (?x16 T7) (= (uf_32 (uf_33 ?x16)) ?x16)) -:assumption (forall (?x17 T6) (= (uf_34 (uf_35 ?x17)) ?x17)) -:assumption (up_36 uf_37) -:assumption (forall (?x18 T4) (?x19 T5) (= (uf_38 ?x18 ?x19) (uf_39 (uf_40 (uf_41 ?x18) ?x19))) :pat { (uf_38 ?x18 ?x19) }) -:assumption (= uf_42 (uf_43 uf_37 0)) -:assumption (forall (?x20 T4) (?x21 T5) (implies (and (= (uf_45 ?x20 ?x21) uf_9) (= (uf_44 ?x20) uf_9)) (= (uf_46 ?x20 ?x20 ?x21 (uf_15 ?x21)) uf_9)) :pat { (uf_44 ?x20) (uf_45 ?x20 ?x21) }) -:assumption (forall (?x22 T4) (?x23 T5) (iff (= (uf_45 ?x22 ?x23) uf_9) (= (uf_24 ?x22 ?x23) uf_9)) :pat { (uf_45 ?x22 ?x23) }) -:assumption (forall (?x24 T4) (?x25 T5) (iff (= (uf_47 ?x24 ?x25) uf_9) (and (or (= (uf_38 ?x24 ?x25) 0) (not (up_36 (uf_15 ?x25)))) (and (= (uf_22 (uf_15 ?x25)) uf_9) (and (not (= (uf_14 (uf_15 ?x25)) uf_16)) (and (= (uf_27 ?x24 ?x25) uf_9) (and (= (uf_48 ?x25 (uf_15 ?x25)) uf_9) (and (= (uf_25 ?x24 ?x25) uf_26) (= (uf_24 ?x24 ?x25) uf_9)))))))) :pat { (uf_47 ?x24 ?x25) }) -:assumption (forall (?x26 T4) (?x27 T5) (?x28 Int) (implies (and (= (uf_50 ?x27 (uf_43 uf_37 ?x28)) uf_9) (= (uf_49 ?x26 ?x27) uf_9)) (= (uf_49 ?x26 (uf_43 uf_37 ?x28)) uf_9)) :pat { (uf_49 ?x26 ?x27) (uf_50 ?x27 (uf_43 uf_37 ?x28)) }) -:assumption (forall (?x29 T4) (?x30 T5) (?x31 T5) (implies (and (= (uf_50 ?x30 ?x31) uf_9) (= (uf_49 ?x29 ?x30) uf_9)) (= (uf_46 ?x29 ?x29 ?x31 (uf_15 ?x31)) uf_9)) :pat { (uf_49 ?x29 ?x30) (uf_50 ?x30 ?x31) }) -:assumption (forall (?x32 T4) (?x33 T5) (?x34 T5) (implies (= (uf_51 ?x32) uf_9) (implies (and (= (uf_24 ?x32 ?x33) uf_9) (= (uf_50 ?x33 ?x34) uf_9)) (and (< 0 (uf_38 ?x32 ?x34)) (and (= (uf_24 ?x32 ?x34) uf_9) (up_52 (uf_53 ?x32 ?x34)))))) :pat { (uf_24 ?x32 ?x33) (uf_50 ?x33 ?x34) }) -:assumption (forall (?x35 T4) (?x36 T5) (?x37 T5) (implies (and (= (uf_54 ?x36 ?x37) uf_9) (= (uf_49 ?x35 ?x36) uf_9)) (= (uf_49 ?x35 ?x37) uf_9)) :pat { (uf_49 ?x35 ?x36) (uf_54 ?x36 ?x37) }) -:assumption (forall (?x38 T5) (?x39 T5) (implies (and (forall (?x40 T4) (implies (= (uf_49 ?x40 ?x38) uf_9) (= (uf_24 ?x40 ?x39) uf_9))) (and (= (uf_48 ?x39 uf_37) uf_9) (= (uf_48 ?x38 uf_37) uf_9))) (= (uf_54 ?x38 ?x39) uf_9)) :pat { (uf_54 ?x38 ?x39) }) -:assumption (forall (?x41 T4) (?x42 T5) (implies (= (uf_49 ?x41 ?x42) uf_9) (and (= (uf_44 ?x41) uf_9) (= (uf_24 ?x41 ?x42) uf_9))) :pat { (uf_49 ?x41 ?x42) }) -:assumption (forall (?x43 T4) (?x44 T5) (implies (and (= (uf_24 ?x43 ?x44) uf_9) (= (uf_55 ?x43) uf_9)) (= (uf_49 ?x43 ?x44) uf_9)) :pat { (uf_55 ?x43) (uf_49 ?x43 ?x44) }) -:assumption (forall (?x45 T3) (implies (= (uf_56 ?x45) uf_9) (= (uf_23 ?x45) uf_9)) :pat { (uf_56 ?x45) }) -:assumption (forall (?x46 T3) (implies (= (uf_57 ?x46) uf_9) (= (uf_23 ?x46) uf_9)) :pat { (uf_57 ?x46) }) -:assumption (forall (?x47 T4) (?x48 Int) (?x49 T3) (implies (and (= (uf_51 ?x47) uf_9) (= (uf_56 ?x49) uf_9)) (= (uf_61 ?x47 (uf_60 ?x48 ?x49)) uf_9)) :pat { (uf_58 (uf_59 ?x47) (uf_60 ?x48 ?x49)) } :pat { (uf_40 (uf_41 ?x47) (uf_60 ?x48 ?x49)) }) -:assumption (forall (?x50 Int) (= (uf_62 (uf_63 ?x50)) ?x50)) -:assumption (forall (?x51 Int) (?x52 T3) (= (uf_60 ?x51 ?x52) (uf_43 ?x52 (uf_63 ?x51))) :pat { (uf_60 ?x51 ?x52) }) -:assumption (forall (?x53 Int) (?x54 Int) (?x55 T4) (implies (= (uf_51 ?x55) uf_9) (and (forall (?x56 Int) (implies (and (< ?x56 ?x54) (<= 0 ?x56)) (and (= (uf_67 ?x55 (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) uf_9) (and (= (uf_48 (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7) uf_7) uf_9) (up_68 (uf_58 (uf_59 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)))))) :pat { (uf_40 (uf_41 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) } :pat { (uf_58 (uf_59 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) }) (= (uf_27 ?x55 (uf_64 ?x53 ?x54)) uf_9))) :pat { (uf_27 ?x55 (uf_64 ?x53 ?x54)) } :pat { (uf_65 ?x55 (uf_64 ?x53 ?x54) uf_7 ?x54) }) -:assumption (forall (?x57 Int) (?x58 Int) (= (uf_48 (uf_64 ?x57 ?x58) uf_7) uf_9) :pat { (uf_64 ?x57 ?x58) }) -:assumption (forall (?x59 Int) (?x60 Int) (= (uf_69 ?x59 ?x60) (+ ?x59 ?x60)) :pat { (uf_69 ?x59 ?x60) }) -:assumption (forall (?x61 T3) (?x62 Int) (?x63 Int) (= (uf_70 ?x61 ?x62 ?x63) (uf_70 ?x61 ?x63 ?x62)) :pat { (uf_70 ?x61 ?x62 ?x63) }) -:assumption (forall (?x64 T3) (?x65 Int) (?x66 Int) (= (uf_71 ?x64 ?x65 ?x66) (uf_71 ?x64 ?x66 ?x65)) :pat { (uf_71 ?x64 ?x65 ?x66) }) -:assumption (forall (?x67 T3) (?x68 Int) (?x69 Int) (= (uf_72 ?x67 ?x68 ?x69) (uf_72 ?x67 ?x69 ?x68)) :pat { (uf_72 ?x67 ?x68 ?x69) }) -:assumption (forall (?x70 T3) (?x71 Int) (implies (= (uf_74 ?x70 ?x71) uf_9) (= (uf_73 ?x70 (uf_73 ?x70 ?x71)) ?x71)) :pat { (uf_73 ?x70 (uf_73 ?x70 ?x71)) }) -:assumption (forall (?x72 T3) (?x73 Int) (= (uf_71 ?x72 ?x73 (uf_73 ?x72 0)) (uf_73 ?x72 ?x73)) :pat { (uf_71 ?x72 ?x73 (uf_73 ?x72 0)) }) -:assumption (forall (?x74 T3) (?x75 Int) (= (uf_71 ?x74 ?x75 ?x75) 0) :pat { (uf_71 ?x74 ?x75 ?x75) }) -:assumption (forall (?x76 T3) (?x77 Int) (implies (= (uf_74 ?x76 ?x77) uf_9) (= (uf_71 ?x76 ?x77 0) ?x77)) :pat { (uf_71 ?x76 ?x77 0) }) -:assumption (forall (?x78 T3) (?x79 Int) (?x80 Int) (= (uf_70 ?x78 (uf_72 ?x78 ?x79 ?x80) ?x79) ?x79) :pat { (uf_70 ?x78 (uf_72 ?x78 ?x79 ?x80) ?x79) }) -:assumption (forall (?x81 T3) (?x82 Int) (?x83 Int) (= (uf_70 ?x81 (uf_72 ?x81 ?x82 ?x83) ?x83) ?x83) :pat { (uf_70 ?x81 (uf_72 ?x81 ?x82 ?x83) ?x83) }) -:assumption (forall (?x84 T3) (?x85 Int) (implies (= (uf_74 ?x84 ?x85) uf_9) (= (uf_70 ?x84 ?x85 ?x85) ?x85)) :pat { (uf_70 ?x84 ?x85 ?x85) }) -:assumption (forall (?x86 T3) (?x87 Int) (implies (= (uf_74 ?x86 ?x87) uf_9) (= (uf_70 ?x86 ?x87 (uf_73 ?x86 0)) ?x87)) :pat { (uf_70 ?x86 ?x87 (uf_73 ?x86 0)) }) -:assumption (forall (?x88 T3) (?x89 Int) (= (uf_70 ?x88 ?x89 0) 0) :pat { (uf_70 ?x88 ?x89 0) }) -:assumption (forall (?x90 T3) (?x91 Int) (implies (= (uf_74 ?x90 ?x91) uf_9) (= (uf_72 ?x90 ?x91 ?x91) ?x91)) :pat { (uf_72 ?x90 ?x91 ?x91) }) -:assumption (forall (?x92 T3) (?x93 Int) (= (uf_72 ?x92 ?x93 (uf_73 ?x92 0)) (uf_73 ?x92 0)) :pat { (uf_72 ?x92 ?x93 (uf_73 ?x92 0)) }) -:assumption (forall (?x94 T3) (?x95 Int) (implies (= (uf_74 ?x94 ?x95) uf_9) (= (uf_72 ?x94 ?x95 0) ?x95)) :pat { (uf_72 ?x94 ?x95 0) }) -:assumption (forall (?x96 T3) (?x97 Int) (= (uf_70 ?x96 ?x97 (uf_73 ?x96 ?x97)) 0) :pat { (uf_70 ?x96 ?x97 (uf_73 ?x96 ?x97)) }) -:assumption (forall (?x98 T3) (?x99 Int) (= (uf_72 ?x98 ?x99 (uf_73 ?x98 ?x99)) (uf_73 ?x98 0)) :pat { (uf_72 ?x98 ?x99 (uf_73 ?x98 ?x99)) }) -:assumption (forall (?x100 T3) (?x101 Int) (= (uf_74 ?x100 (uf_73 ?x100 ?x101)) uf_9) :pat { (uf_73 ?x100 ?x101) }) -:assumption (forall (?x102 T3) (?x103 Int) (?x104 Int) (implies (and (<= ?x104 uf_75) (and (<= 0 ?x104) (and (<= ?x103 uf_75) (<= 0 ?x103)))) (and (<= (uf_71 ?x102 ?x103 ?x104) uf_75) (<= 0 (uf_71 ?x102 ?x103 ?x104)))) :pat { (uf_71 ?x102 ?x103 ?x104) }) -:assumption (forall (?x105 T3) (?x106 Int) (?x107 Int) (implies (and (<= ?x107 uf_76) (and (<= 0 ?x107) (and (<= ?x106 uf_76) (<= 0 ?x106)))) (and (<= (uf_71 ?x105 ?x106 ?x107) uf_76) (<= 0 (uf_71 ?x105 ?x106 ?x107)))) :pat { (uf_71 ?x105 ?x106 ?x107) }) -:assumption (forall (?x108 T3) (?x109 Int) (?x110 Int) (implies (and (<= ?x110 uf_77) (and (<= 0 ?x110) (and (<= ?x109 uf_77) (<= 0 ?x109)))) (and (<= (uf_71 ?x108 ?x109 ?x110) uf_77) (<= 0 (uf_71 ?x108 ?x109 ?x110)))) :pat { (uf_71 ?x108 ?x109 ?x110) }) -:assumption (forall (?x111 T3) (?x112 Int) (?x113 Int) (implies (and (<= ?x113 uf_78) (and (<= 0 ?x113) (and (<= ?x112 uf_78) (<= 0 ?x112)))) (and (<= (uf_71 ?x111 ?x112 ?x113) uf_78) (<= 0 (uf_71 ?x111 ?x112 ?x113)))) :pat { (uf_71 ?x111 ?x112 ?x113) }) -:assumption (forall (?x114 T3) (?x115 Int) (?x116 Int) (implies (and (<= ?x116 uf_75) (and (<= 0 ?x116) (and (<= ?x115 uf_75) (<= 0 ?x115)))) (and (<= (uf_70 ?x114 ?x115 ?x116) uf_75) (<= 0 (uf_70 ?x114 ?x115 ?x116)))) :pat { (uf_70 ?x114 ?x115 ?x116) }) -:assumption (forall (?x117 T3) (?x118 Int) (?x119 Int) (implies (and (<= ?x119 uf_76) (and (<= 0 ?x119) (and (<= ?x118 uf_76) (<= 0 ?x118)))) (and (<= (uf_70 ?x117 ?x118 ?x119) uf_76) (<= 0 (uf_70 ?x117 ?x118 ?x119)))) :pat { (uf_70 ?x117 ?x118 ?x119) }) -:assumption (forall (?x120 T3) (?x121 Int) (?x122 Int) (implies (and (<= ?x122 uf_77) (and (<= 0 ?x122) (and (<= ?x121 uf_77) (<= 0 ?x121)))) (and (<= (uf_70 ?x120 ?x121 ?x122) uf_77) (<= 0 (uf_70 ?x120 ?x121 ?x122)))) :pat { (uf_70 ?x120 ?x121 ?x122) }) -:assumption (forall (?x123 T3) (?x124 Int) (?x125 Int) (implies (and (<= ?x125 uf_78) (and (<= 0 ?x125) (and (<= ?x124 uf_78) (<= 0 ?x124)))) (and (<= (uf_70 ?x123 ?x124 ?x125) uf_78) (<= 0 (uf_70 ?x123 ?x124 ?x125)))) :pat { (uf_70 ?x123 ?x124 ?x125) }) -:assumption (forall (?x126 T3) (?x127 Int) (?x128 Int) (implies (and (<= ?x128 uf_75) (and (<= 0 ?x128) (and (<= ?x127 uf_75) (<= 0 ?x127)))) (and (<= (uf_72 ?x126 ?x127 ?x128) uf_75) (<= 0 (uf_72 ?x126 ?x127 ?x128)))) :pat { (uf_72 ?x126 ?x127 ?x128) }) -:assumption (forall (?x129 T3) (?x130 Int) (?x131 Int) (implies (and (<= ?x131 uf_76) (and (<= 0 ?x131) (and (<= ?x130 uf_76) (<= 0 ?x130)))) (and (<= (uf_72 ?x129 ?x130 ?x131) uf_76) (<= 0 (uf_72 ?x129 ?x130 ?x131)))) :pat { (uf_72 ?x129 ?x130 ?x131) }) -:assumption (forall (?x132 T3) (?x133 Int) (?x134 Int) (implies (and (<= ?x134 uf_77) (and (<= 0 ?x134) (and (<= ?x133 uf_77) (<= 0 ?x133)))) (and (<= (uf_72 ?x132 ?x133 ?x134) uf_77) (<= 0 (uf_72 ?x132 ?x133 ?x134)))) :pat { (uf_72 ?x132 ?x133 ?x134) }) -:assumption (forall (?x135 T3) (?x136 Int) (?x137 Int) (implies (and (<= ?x137 uf_78) (and (<= 0 ?x137) (and (<= ?x136 uf_78) (<= 0 ?x136)))) (and (<= (uf_72 ?x135 ?x136 ?x137) uf_78) (<= 0 (uf_72 ?x135 ?x136 ?x137)))) :pat { (uf_72 ?x135 ?x136 ?x137) }) -:assumption (forall (?x138 T3) (?x139 Int) (?x140 Int) (?x141 Int) (implies (and (= (uf_74 ?x138 ?x140) uf_9) (and (= (uf_74 ?x138 ?x139) uf_9) (and (< ?x140 (uf_79 ?x141)) (and (< ?x139 (uf_79 ?x141)) (and (< ?x141 64) (and (<= 0 ?x141) (and (<= 0 ?x140) (<= 0 ?x139)))))))) (< (uf_72 ?x138 ?x139 ?x140) (uf_79 ?x141))) :pat { (uf_72 ?x138 ?x139 ?x140) (uf_79 ?x141) }) -:assumption (forall (?x142 T3) (?x143 Int) (?x144 Int) (implies (and (= (uf_74 ?x142 ?x144) uf_9) (and (= (uf_74 ?x142 ?x143) uf_9) (and (<= 0 ?x144) (<= 0 ?x143)))) (and (<= ?x144 (uf_72 ?x142 ?x143 ?x144)) (<= ?x143 (uf_72 ?x142 ?x143 ?x144)))) :pat { (uf_72 ?x142 ?x143 ?x144) }) -:assumption (forall (?x145 T3) (?x146 Int) (?x147 Int) (implies (and (= (uf_74 ?x145 ?x147) uf_9) (and (= (uf_74 ?x145 ?x146) uf_9) (and (<= 0 ?x147) (<= 0 ?x146)))) (and (<= (uf_72 ?x145 ?x146 ?x147) (+ ?x146 ?x147)) (<= 0 (uf_72 ?x145 ?x146 ?x147)))) :pat { (uf_72 ?x145 ?x146 ?x147) }) -:assumption (forall (?x148 T3) (?x149 Int) (?x150 Int) (implies (and (= (uf_74 ?x148 ?x150) uf_9) (and (= (uf_74 ?x148 ?x149) uf_9) (and (<= 0 ?x150) (<= 0 ?x149)))) (and (<= (uf_70 ?x148 ?x149 ?x150) ?x150) (<= (uf_70 ?x148 ?x149 ?x150) ?x149))) :pat { (uf_70 ?x148 ?x149 ?x150) }) -:assumption (forall (?x151 T3) (?x152 Int) (?x153 Int) (implies (and (= (uf_74 ?x151 ?x152) uf_9) (<= 0 ?x152)) (and (<= (uf_70 ?x151 ?x152 ?x153) ?x152) (<= 0 (uf_70 ?x151 ?x152 ?x153)))) :pat { (uf_70 ?x151 ?x152 ?x153) }) -:assumption (forall (?x154 Int) (?x155 Int) (implies (and (< ?x155 0) (<= ?x154 0)) (and (<= (uf_80 ?x154 ?x155) 0) (< ?x155 (uf_80 ?x154 ?x155)))) :pat { (uf_80 ?x154 ?x155) }) -:assumption (forall (?x156 Int) (?x157 Int) (implies (and (< 0 ?x157) (<= ?x156 0)) (and (<= (uf_80 ?x156 ?x157) 0) (< (+ 0 ?x157) (uf_80 ?x156 ?x157)))) :pat { (uf_80 ?x156 ?x157) }) -:assumption (forall (?x158 Int) (?x159 Int) (implies (and (< ?x159 0) (<= 0 ?x158)) (and (< (uf_80 ?x158 ?x159) (+ 0 ?x159)) (<= 0 (uf_80 ?x158 ?x159)))) :pat { (uf_80 ?x158 ?x159) }) -:assumption (forall (?x160 Int) (?x161 Int) (implies (and (< 0 ?x161) (<= 0 ?x160)) (and (< (uf_80 ?x160 ?x161) ?x161) (<= 0 (uf_80 ?x160 ?x161)))) :pat { (uf_80 ?x160 ?x161) }) -:assumption (forall (?x162 Int) (?x163 Int) (= (uf_80 ?x162 ?x163) (+ ?x162 (+ (uf_81 ?x162 ?x163) ?x163))) :pat { (uf_80 ?x162 ?x163) } :pat { (uf_81 ?x162 ?x163) }) -:assumption (forall (?x164 Int) (implies (not (= ?x164 0)) (= (uf_81 ?x164 ?x164) 1)) :pat { (uf_81 ?x164 ?x164) }) -:assumption (forall (?x165 Int) (?x166 Int) (implies (and (< 0 ?x166) (< 0 ?x165)) (and (<= (+ (uf_81 ?x165 ?x166) ?x166) ?x165) (< (+ ?x165 ?x166) (+ (uf_81 ?x165 ?x166) ?x166)))) :pat { (uf_81 ?x165 ?x166) }) -:assumption (forall (?x167 Int) (?x168 Int) (implies (and (< 0 ?x168) (<= 0 ?x167)) (<= (uf_81 ?x167 ?x168) ?x167)) :pat { (uf_81 ?x167 ?x168) }) -:assumption (forall (?x169 T3) (?x170 Int) (?x171 Int) (?x172 Int) (implies (and (<= 0 ?x170) (and (= (uf_74 ?x169 (+ (uf_79 ?x171) 1)) uf_9) (= (uf_74 ?x169 ?x170) uf_9))) (= (uf_80 ?x170 (uf_79 ?x171)) (uf_70 ?x169 ?x170 (+ (uf_79 ?x171) 1)))) :pat { (uf_80 ?x170 (uf_79 ?x171)) (uf_70 ?x169 ?x170 ?x172) }) -:assumption (forall (?x173 Int) (implies (and (<= ?x173 uf_85) (<= uf_86 ?x173)) (= (uf_82 uf_83 (uf_82 uf_84 ?x173)) ?x173)) :pat { (uf_82 uf_83 (uf_82 uf_84 ?x173)) }) -:assumption (forall (?x174 Int) (implies (and (<= ?x174 uf_88) (<= uf_89 ?x174)) (= (uf_82 uf_87 (uf_82 uf_4 ?x174)) ?x174)) :pat { (uf_82 uf_87 (uf_82 uf_4 ?x174)) }) -:assumption (forall (?x175 Int) (implies (and (<= ?x175 uf_92) (<= uf_93 ?x175)) (= (uf_82 uf_90 (uf_82 uf_91 ?x175)) ?x175)) :pat { (uf_82 uf_90 (uf_82 uf_91 ?x175)) }) -:assumption (forall (?x176 Int) (implies (and (<= ?x176 uf_95) (<= uf_96 ?x176)) (= (uf_82 uf_94 (uf_82 uf_7 ?x176)) ?x176)) :pat { (uf_82 uf_94 (uf_82 uf_7 ?x176)) }) -:assumption (forall (?x177 Int) (implies (and (<= ?x177 uf_75) (<= 0 ?x177)) (= (uf_82 uf_84 (uf_82 uf_83 ?x177)) ?x177)) :pat { (uf_82 uf_84 (uf_82 uf_83 ?x177)) }) -:assumption (forall (?x178 Int) (implies (and (<= ?x178 uf_76) (<= 0 ?x178)) (= (uf_82 uf_4 (uf_82 uf_87 ?x178)) ?x178)) :pat { (uf_82 uf_4 (uf_82 uf_87 ?x178)) }) -:assumption (forall (?x179 Int) (implies (and (<= ?x179 uf_77) (<= 0 ?x179)) (= (uf_82 uf_91 (uf_82 uf_90 ?x179)) ?x179)) :pat { (uf_82 uf_91 (uf_82 uf_90 ?x179)) }) -:assumption (forall (?x180 Int) (implies (and (<= ?x180 uf_78) (<= 0 ?x180)) (= (uf_82 uf_7 (uf_82 uf_94 ?x180)) ?x180)) :pat { (uf_82 uf_7 (uf_82 uf_94 ?x180)) }) -:assumption (forall (?x181 T3) (?x182 Int) (= (uf_74 ?x181 (uf_82 ?x181 ?x182)) uf_9) :pat { (uf_82 ?x181 ?x182) }) -:assumption (forall (?x183 T3) (?x184 Int) (implies (= (uf_74 ?x183 ?x184) uf_9) (= (uf_82 ?x183 ?x184) ?x184)) :pat { (uf_82 ?x183 ?x184) }) -:assumption (forall (?x185 Int) (iff (= (uf_74 uf_84 ?x185) uf_9) (and (<= ?x185 uf_75) (<= 0 ?x185))) :pat { (uf_74 uf_84 ?x185) }) -:assumption (forall (?x186 Int) (iff (= (uf_74 uf_4 ?x186) uf_9) (and (<= ?x186 uf_76) (<= 0 ?x186))) :pat { (uf_74 uf_4 ?x186) }) -:assumption (forall (?x187 Int) (iff (= (uf_74 uf_91 ?x187) uf_9) (and (<= ?x187 uf_77) (<= 0 ?x187))) :pat { (uf_74 uf_91 ?x187) }) -:assumption (forall (?x188 Int) (iff (= (uf_74 uf_7 ?x188) uf_9) (and (<= ?x188 uf_78) (<= 0 ?x188))) :pat { (uf_74 uf_7 ?x188) }) -:assumption (forall (?x189 Int) (iff (= (uf_74 uf_83 ?x189) uf_9) (and (<= ?x189 uf_85) (<= uf_86 ?x189))) :pat { (uf_74 uf_83 ?x189) }) -:assumption (forall (?x190 Int) (iff (= (uf_74 uf_87 ?x190) uf_9) (and (<= ?x190 uf_88) (<= uf_89 ?x190))) :pat { (uf_74 uf_87 ?x190) }) -:assumption (forall (?x191 Int) (iff (= (uf_74 uf_90 ?x191) uf_9) (and (<= ?x191 uf_92) (<= uf_93 ?x191))) :pat { (uf_74 uf_90 ?x191) }) -:assumption (forall (?x192 Int) (iff (= (uf_74 uf_94 ?x192) uf_9) (and (<= ?x192 uf_95) (<= uf_96 ?x192))) :pat { (uf_74 uf_94 ?x192) }) -:assumption (forall (?x193 Int) (?x194 Int) (?x195 Int) (?x196 Int) (implies (and (<= (uf_79 (+ (+ ?x194 ?x193) 1)) (uf_80 (uf_81 ?x195 (uf_79 ?x193)) (uf_79 (+ ?x194 ?x193)))) (and (<= 0 ?x195) (and (<= ?x194 ?x196) (and (< ?x193 ?x194) (<= 0 ?x193))))) (= (uf_97 ?x195 ?x196 ?x193 ?x194) (+ (uf_79 (+ (+ ?x194 ?x193) 1)) (uf_80 (uf_81 ?x195 (uf_79 ?x193)) (uf_79 (+ ?x194 ?x193)))))) :pat { (uf_97 ?x195 ?x196 ?x193 ?x194) }) -:assumption (forall (?x197 Int) (?x198 Int) (?x199 Int) (?x200 Int) (implies (and (< (uf_80 (uf_81 ?x199 (uf_79 ?x197)) (uf_79 (+ ?x198 ?x197))) (uf_79 (+ (+ ?x198 ?x197) 1))) (and (<= 0 ?x199) (and (<= ?x198 ?x200) (and (< ?x197 ?x198) (<= 0 ?x197))))) (= (uf_97 ?x199 ?x200 ?x197 ?x198) (uf_80 (uf_81 ?x199 (uf_79 ?x197)) (uf_79 (+ ?x198 ?x197))))) :pat { (uf_97 ?x199 ?x200 ?x197 ?x198) }) -:assumption (forall (?x201 Int) (?x202 Int) (?x203 Int) (?x204 Int) (implies (and (<= 0 ?x203) (and (<= ?x202 ?x204) (and (< ?x201 ?x202) (<= 0 ?x201)))) (= (uf_98 ?x203 ?x204 ?x201 ?x202) (uf_80 (uf_81 ?x203 (uf_79 ?x201)) (uf_79 (+ ?x202 ?x201))))) :pat { (uf_98 ?x203 ?x204 ?x201 ?x202) }) -:assumption (forall (?x205 Int) (?x206 Int) (?x207 Int) (implies (and (<= ?x206 ?x207) (and (< ?x205 ?x206) (<= 0 ?x205))) (= (uf_98 0 ?x207 ?x205 ?x206) 0)) :pat { (uf_98 0 ?x207 ?x205 ?x206) }) -:assumption (forall (?x208 Int) (?x209 Int) (?x210 Int) (implies (and (<= ?x209 ?x210) (and (< ?x208 ?x209) (<= 0 ?x208))) (= (uf_97 0 ?x210 ?x208 ?x209) 0)) :pat { (uf_97 0 ?x210 ?x208 ?x209) }) -:assumption (forall (?x211 Int) (?x212 Int) (?x213 Int) (?x214 Int) (?x215 Int) (?x216 Int) (?x217 Int) (implies (and (<= ?x212 ?x215) (and (< ?x211 ?x212) (<= 0 ?x211))) (implies (and (<= ?x217 ?x215) (and (< ?x216 ?x217) (<= 0 ?x216))) (implies (or (<= ?x212 ?x216) (<= ?x217 ?x211)) (= (uf_98 (uf_99 ?x214 ?x215 ?x211 ?x212 ?x213) ?x215 ?x216 ?x217) (uf_98 ?x214 ?x215 ?x216 ?x217))))) :pat { (uf_98 (uf_99 ?x214 ?x215 ?x211 ?x212 ?x213) ?x215 ?x216 ?x217) }) -:assumption (forall (?x218 Int) (?x219 Int) (?x220 Int) (?x221 Int) (?x222 Int) (?x223 Int) (?x224 Int) (implies (and (<= ?x219 ?x222) (and (< ?x218 ?x219) (<= 0 ?x218))) (implies (and (<= ?x224 ?x222) (and (< ?x223 ?x224) (<= 0 ?x223))) (implies (or (<= ?x219 ?x223) (<= ?x224 ?x218)) (= (uf_97 (uf_99 ?x221 ?x222 ?x218 ?x219 ?x220) ?x222 ?x223 ?x224) (uf_97 ?x221 ?x222 ?x223 ?x224))))) :pat { (uf_97 (uf_99 ?x221 ?x222 ?x218 ?x219 ?x220) ?x222 ?x223 ?x224) }) -:assumption (forall (?x225 Int) (?x226 Int) (?x227 Int) (?x228 Int) (implies (and (<= ?x226 ?x228) (and (< ?x225 ?x226) (<= 0 ?x225))) (and (<= (uf_98 ?x227 ?x228 ?x225 ?x226) (+ (uf_79 (+ ?x226 ?x225)) 1)) (<= 0 (uf_98 ?x227 ?x228 ?x225 ?x226)))) :pat { (uf_98 ?x227 ?x228 ?x225 ?x226) }) -:assumption (forall (?x229 Int) (?x230 Int) (?x231 Int) (?x232 Int) (implies (and (<= ?x230 ?x232) (and (< ?x229 ?x230) (<= 0 ?x229))) (and (<= (uf_97 ?x231 ?x232 ?x229 ?x230) (+ (uf_79 (+ (+ ?x230 ?x229) 1)) 1)) (<= (+ 0 (uf_79 (+ (+ ?x230 ?x229) 1))) (uf_97 ?x231 ?x232 ?x229 ?x230)))) :pat { (uf_97 ?x231 ?x232 ?x229 ?x230) }) -:assumption (forall (?x233 Int) (?x234 Int) (?x235 Int) (?x236 Int) (?x237 Int) (implies (and (<= ?x234 ?x237) (and (< ?x233 ?x234) (<= 0 ?x233))) (implies (and (< ?x235 (uf_79 (+ ?x234 ?x233))) (<= 0 ?x235)) (= (uf_98 (uf_99 ?x236 ?x237 ?x233 ?x234 ?x235) ?x237 ?x233 ?x234) ?x235))) :pat { (uf_98 (uf_99 ?x236 ?x237 ?x233 ?x234 ?x235) ?x237 ?x233 ?x234) }) -:assumption (forall (?x238 Int) (?x239 Int) (?x240 Int) (?x241 Int) (?x242 Int) (implies (and (<= ?x239 ?x242) (and (< ?x238 ?x239) (<= 0 ?x238))) (implies (and (< ?x240 (uf_79 (+ (+ ?x239 ?x238) 1))) (<= (+ 0 (uf_79 (+ (+ ?x239 ?x238) 1))) ?x240)) (= (uf_97 (uf_99 ?x241 ?x242 ?x238 ?x239 ?x240) ?x242 ?x238 ?x239) ?x240))) :pat { (uf_97 (uf_99 ?x241 ?x242 ?x238 ?x239 ?x240) ?x242 ?x238 ?x239) }) -:assumption (forall (?x243 Int) (?x244 Int) (?x245 Int) (implies (and (<= ?x244 ?x245) (and (< ?x243 ?x244) (<= 0 ?x243))) (= (uf_99 0 ?x245 ?x243 ?x244 0) 0)) :pat { (uf_99 0 ?x245 ?x243 ?x244 0) }) -:assumption (forall (?x246 Int) (?x247 Int) (?x248 Int) (?x249 Int) (?x250 Int) (implies (and (<= ?x248 ?x249) (and (< ?x247 ?x248) (<= 0 ?x247))) (implies (and (< ?x250 (uf_79 (+ ?x248 ?x247))) (<= 0 ?x250)) (and (< (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250) (uf_79 ?x249)) (<= 0 (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250))))) :pat { (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250) }) -:assumption (forall (?x251 Int) (?x252 Int) (= (uf_100 ?x251 ?x252) (uf_81 ?x251 (uf_79 ?x252))) :pat { (uf_100 ?x251 ?x252) }) -:assumption (forall (?x253 T3) (?x254 Int) (?x255 Int) (= (uf_101 ?x253 ?x254 ?x255) (uf_82 ?x253 (+ ?x254 (uf_79 ?x255)))) :pat { (uf_101 ?x253 ?x254 ?x255) }) -:assumption (forall (?x256 T3) (?x257 Int) (?x258 Int) (= (uf_102 ?x256 ?x257 ?x258) (uf_82 ?x256 (uf_80 ?x257 ?x258))) :pat { (uf_102 ?x256 ?x257 ?x258) }) -:assumption (forall (?x259 T3) (?x260 Int) (?x261 Int) (= (uf_103 ?x259 ?x260 ?x261) (uf_82 ?x259 (uf_81 ?x260 ?x261))) :pat { (uf_103 ?x259 ?x260 ?x261) }) -:assumption (forall (?x262 T3) (?x263 Int) (?x264 Int) (= (uf_104 ?x262 ?x263 ?x264) (uf_82 ?x262 (+ ?x263 ?x264))) :pat { (uf_104 ?x262 ?x263 ?x264) }) -:assumption (forall (?x265 T3) (?x266 Int) (?x267 Int) (= (uf_105 ?x265 ?x266 ?x267) (uf_82 ?x265 (+ ?x266 ?x267))) :pat { (uf_105 ?x265 ?x266 ?x267) }) -:assumption (forall (?x268 T3) (?x269 Int) (?x270 Int) (= (uf_106 ?x268 ?x269 ?x270) (uf_82 ?x268 (+ ?x269 ?x270))) :pat { (uf_106 ?x268 ?x269 ?x270) }) -:assumption (and (= (uf_79 63) 9223372036854775808) (and (= (uf_79 62) 4611686018427387904) (and (= (uf_79 61) 2305843009213693952) (and (= (uf_79 60) 1152921504606846976) (and (= (uf_79 59) 576460752303423488) (and (= (uf_79 58) 288230376151711744) (and (= (uf_79 57) 144115188075855872) (and (= (uf_79 56) 72057594037927936) (and (= (uf_79 55) 36028797018963968) (and (= (uf_79 54) 18014398509481984) (and (= (uf_79 53) 9007199254740992) (and (= (uf_79 52) 4503599627370496) (and (= (uf_79 51) 2251799813685248) (and (= (uf_79 50) 1125899906842624) (and (= (uf_79 49) 562949953421312) (and (= (uf_79 48) 281474976710656) (and (= (uf_79 47) 140737488355328) (and (= (uf_79 46) 70368744177664) (and (= (uf_79 45) 35184372088832) (and (= (uf_79 44) 17592186044416) (and (= (uf_79 43) 8796093022208) (and (= (uf_79 42) 4398046511104) (and (= (uf_79 41) 2199023255552) (and (= (uf_79 40) 1099511627776) (and (= (uf_79 39) 549755813888) (and (= (uf_79 38) 274877906944) (and (= (uf_79 37) 137438953472) (and (= (uf_79 36) 68719476736) (and (= (uf_79 35) 34359738368) (and (= (uf_79 34) 17179869184) (and (= (uf_79 33) 8589934592) (and (= (uf_79 32) 4294967296) (and (= (uf_79 31) 2147483648) (and (= (uf_79 30) 1073741824) (and (= (uf_79 29) 536870912) (and (= (uf_79 28) 268435456) (and (= (uf_79 27) 134217728) (and (= (uf_79 26) 67108864) (and (= (uf_79 25) 33554432) (and (= (uf_79 24) 16777216) (and (= (uf_79 23) 8388608) (and (= (uf_79 22) 4194304) (and (= (uf_79 21) 2097152) (and (= (uf_79 20) 1048576) (and (= (uf_79 19) 524288) (and (= (uf_79 18) 262144) (and (= (uf_79 17) 131072) (and (= (uf_79 16) 65536) (and (= (uf_79 15) 32768) (and (= (uf_79 14) 16384) (and (= (uf_79 13) 8192) (and (= (uf_79 12) 4096) (and (= (uf_79 11) 2048) (and (= (uf_79 10) 1024) (and (= (uf_79 9) 512) (and (= (uf_79 8) 256) (and (= (uf_79 7) 128) (and (= (uf_79 6) 64) (and (= (uf_79 5) 32) (and (= (uf_79 4) 16) (and (= (uf_79 3) 8) (and (= (uf_79 2) 4) (and (= (uf_79 1) 2) (= (uf_79 0) 1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -:assumption (forall (?x271 T4) (?x272 T5) (implies (= (uf_51 ?x271) uf_9) (and (<= (uf_107 ?x271 ?x272) uf_75) (<= 0 (uf_107 ?x271 ?x272)))) :pat { (uf_107 ?x271 ?x272) }) -:assumption (forall (?x273 T4) (?x274 T5) (implies (= (uf_51 ?x273) uf_9) (and (<= (uf_108 ?x273 ?x274) uf_76) (<= 0 (uf_108 ?x273 ?x274)))) :pat { (uf_108 ?x273 ?x274) }) -:assumption (forall (?x275 T4) (?x276 T5) (implies (= (uf_51 ?x275) uf_9) (and (<= (uf_109 ?x275 ?x276) uf_77) (<= 0 (uf_109 ?x275 ?x276)))) :pat { (uf_109 ?x275 ?x276) }) -:assumption (forall (?x277 T4) (?x278 T5) (implies (= (uf_51 ?x277) uf_9) (and (<= (uf_110 ?x277 ?x278) uf_78) (<= 0 (uf_110 ?x277 ?x278)))) :pat { (uf_110 ?x277 ?x278) }) -:assumption (forall (?x279 T4) (?x280 T5) (implies (= (uf_51 ?x279) uf_9) (and (<= (uf_111 ?x279 ?x280) uf_85) (<= uf_86 (uf_111 ?x279 ?x280)))) :pat { (uf_111 ?x279 ?x280) }) -:assumption (forall (?x281 T4) (?x282 T5) (implies (= (uf_51 ?x281) uf_9) (and (<= (uf_112 ?x281 ?x282) uf_88) (<= uf_89 (uf_112 ?x281 ?x282)))) :pat { (uf_112 ?x281 ?x282) }) -:assumption (forall (?x283 T4) (?x284 T5) (implies (= (uf_51 ?x283) uf_9) (and (<= (uf_113 ?x283 ?x284) uf_92) (<= uf_93 (uf_113 ?x283 ?x284)))) :pat { (uf_113 ?x283 ?x284) }) -:assumption (forall (?x285 T4) (?x286 T5) (implies (= (uf_51 ?x285) uf_9) (and (<= (uf_114 ?x285 ?x286) uf_95) (<= uf_96 (uf_114 ?x285 ?x286)))) :pat { (uf_114 ?x285 ?x286) }) -:assumption (forall (?x287 T5) (?x288 T5) (= (uf_115 ?x287 ?x288) (+ (uf_116 ?x287) (uf_116 ?x288))) :pat { (uf_115 ?x287 ?x288) }) -:assumption (forall (?x289 T5) (implies (and (<= (uf_116 ?x289) uf_88) (<= uf_89 (uf_116 ?x289))) (= (uf_117 ?x289) (uf_116 ?x289))) :pat { (uf_117 ?x289) }) -:assumption (forall (?x290 T5) (implies (and (<= (uf_116 ?x290) uf_76) (<= 0 (uf_116 ?x290))) (= (uf_118 ?x290) (uf_116 ?x290))) :pat { (uf_118 ?x290) }) -:assumption (forall (?x291 T5) (implies (and (<= (uf_116 ?x291) uf_85) (<= uf_86 (uf_116 ?x291))) (= (uf_119 ?x291) (uf_116 ?x291))) :pat { (uf_119 ?x291) }) -:assumption (forall (?x292 T5) (implies (and (<= (uf_116 ?x292) uf_75) (<= 0 (uf_116 ?x292))) (= (uf_120 ?x292) (uf_116 ?x292))) :pat { (uf_120 ?x292) }) -:assumption (= (uf_117 uf_121) 0) -:assumption (= (uf_118 uf_121) 0) -:assumption (= (uf_119 uf_121) 0) -:assumption (= (uf_120 uf_121) 0) -:assumption (forall (?x293 T4) (?x294 T5) (= (uf_107 ?x293 ?x294) (uf_19 (uf_20 ?x293) ?x294)) :pat { (uf_107 ?x293 ?x294) }) -:assumption (forall (?x295 T4) (?x296 T5) (= (uf_108 ?x295 ?x296) (uf_19 (uf_20 ?x295) ?x296)) :pat { (uf_108 ?x295 ?x296) }) -:assumption (forall (?x297 T4) (?x298 T5) (= (uf_109 ?x297 ?x298) (uf_19 (uf_20 ?x297) ?x298)) :pat { (uf_109 ?x297 ?x298) }) -:assumption (forall (?x299 T4) (?x300 T5) (= (uf_110 ?x299 ?x300) (uf_19 (uf_20 ?x299) ?x300)) :pat { (uf_110 ?x299 ?x300) }) -:assumption (forall (?x301 T4) (?x302 T5) (= (uf_111 ?x301 ?x302) (uf_19 (uf_20 ?x301) ?x302)) :pat { (uf_111 ?x301 ?x302) }) -:assumption (forall (?x303 T4) (?x304 T5) (= (uf_112 ?x303 ?x304) (uf_19 (uf_20 ?x303) ?x304)) :pat { (uf_112 ?x303 ?x304) }) -:assumption (forall (?x305 T4) (?x306 T5) (= (uf_113 ?x305 ?x306) (uf_19 (uf_20 ?x305) ?x306)) :pat { (uf_113 ?x305 ?x306) }) -:assumption (forall (?x307 T4) (?x308 T5) (= (uf_114 ?x307 ?x308) (uf_19 (uf_20 ?x307) ?x308)) :pat { (uf_114 ?x307 ?x308) }) -:assumption (= uf_75 (+ (+ (+ (+ 65536 65536) 65536) 65536) 1)) -:assumption (= uf_76 (+ (+ 65536 65536) 1)) -:assumption (= uf_77 65535) -:assumption (= uf_78 255) -:assumption (= uf_85 (+ (+ (+ (+ 65536 65536) 65536) 32768) 1)) -:assumption (= uf_86 (+ 0 (+ (+ (+ 65536 65536) 65536) 32768))) -:assumption (= uf_88 (+ (+ 65536 32768) 1)) -:assumption (= uf_89 (+ 0 (+ 65536 32768))) -:assumption (= uf_92 32767) -:assumption (= uf_93 (+ 0 32768)) -:assumption (= uf_95 127) -:assumption (= uf_96 (+ 0 128)) -:assumption (forall (?x309 T2) (iff (= (uf_122 ?x309) uf_9) (= ?x309 uf_9)) :pat { (uf_122 ?x309) }) -:assumption (forall (?x310 T4) (?x311 T4) (?x312 T5) (?x313 T3) (?x314 Int) (implies (= (uf_23 ?x313) uf_9) (implies (= (uf_123 ?x310 ?x311 ?x312 (uf_124 ?x313 ?x314)) uf_9) (forall (?x315 Int) (implies (and (< ?x315 ?x314) (<= 0 ?x315)) (= (uf_19 (uf_20 ?x310) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)) (uf_19 (uf_20 ?x311) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)))) :pat { (uf_19 (uf_20 ?x311) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)) }))) :pat { (uf_123 ?x310 ?x311 ?x312 (uf_124 ?x313 ?x314)) (uf_23 ?x313) }) -:assumption (forall (?x316 T5) (?x317 Int) (?x318 T15) (= (uf_125 (uf_126 (uf_66 ?x316 ?x317 (uf_15 ?x316)) ?x318) ?x316) ?x317) :pat { (uf_125 (uf_126 (uf_66 ?x316 ?x317 (uf_15 ?x316)) ?x318) ?x316) }) -:assumption (forall (?x319 T5) (?x320 Int) (= (uf_125 (uf_66 ?x319 ?x320 (uf_15 ?x319)) ?x319) ?x320) :pat { (uf_66 ?x319 ?x320 (uf_15 ?x319)) }) -:assumption (forall (?x321 T5) (?x322 T4) (?x323 T5) (iff (= (uf_13 ?x321 (uf_127 ?x322 ?x323)) uf_9) (and (= (uf_13 ?x321 (uf_128 ?x322 ?x323)) uf_9) (not (= (uf_116 ?x323) (uf_116 uf_121))))) :pat { (uf_13 ?x321 (uf_127 ?x322 ?x323)) }) -:assumption (forall (?x324 T5) (?x325 Int) (?x326 T3) (?x327 Int) (iff (= (uf_13 ?x324 (uf_129 (uf_43 ?x326 ?x325) ?x326 ?x327)) uf_9) (and (= (uf_13 ?x324 (uf_130 (uf_66 (uf_43 ?x326 ?x325) (uf_125 ?x324 (uf_43 ?x326 ?x325)) ?x326))) uf_9) (and (<= (uf_125 ?x324 (uf_43 ?x326 ?x325)) (+ ?x327 1)) (and (<= 0 (uf_125 ?x324 (uf_43 ?x326 ?x325))) (not (= ?x325 0)))))) :pat { (uf_13 ?x324 (uf_129 (uf_43 ?x326 ?x325) ?x326 ?x327)) }) -:assumption (forall (?x328 T5) (?x329 T3) (?x330 Int) (?x331 Int) (?x332 T6) (implies (and (< ?x331 ?x330) (<= 0 ?x331)) (= (uf_133 (uf_66 ?x328 ?x331 ?x329) ?x332 (uf_132 ?x328 ?x329 ?x330)) 2)) :pat { (uf_66 ?x328 ?x331 ?x329) (uf_131 ?x332 (uf_132 ?x328 ?x329 ?x330)) }) -:assumption (forall (?x333 T5) (?x334 T3) (?x335 Int) (?x336 Int) (?x337 T6) (implies (and (< ?x336 ?x335) (<= 0 ?x336)) (= (uf_133 (uf_66 ?x333 ?x336 ?x334) (uf_132 ?x333 ?x334 ?x335) ?x337) 1)) :pat { (uf_66 ?x333 ?x336 ?x334) (uf_131 (uf_132 ?x333 ?x334 ?x335) ?x337) }) -:assumption (forall (?x338 T5) (?x339 Int) (?x340 T3) (?x341 Int) (iff (= (uf_13 ?x338 (uf_132 (uf_43 ?x340 ?x339) ?x340 ?x341)) uf_9) (and (= (uf_13 ?x338 (uf_130 (uf_66 (uf_43 ?x340 ?x339) (uf_125 ?x338 (uf_43 ?x340 ?x339)) ?x340))) uf_9) (and (<= (uf_125 ?x338 (uf_43 ?x340 ?x339)) (+ ?x341 1)) (<= 0 (uf_125 ?x338 (uf_43 ?x340 ?x339)))))) :pat { (uf_13 ?x338 (uf_132 (uf_43 ?x340 ?x339) ?x340 ?x341)) }) -:assumption (forall (?x342 T5) (?x343 T3) (?x344 Int) (?x345 T5) (iff (= (uf_13 ?x345 (uf_134 ?x342 ?x343 ?x344)) uf_9) (and (= ?x345 (uf_66 ?x342 (uf_125 ?x345 ?x342) ?x343)) (and (<= (uf_125 ?x345 ?x342) (+ ?x344 1)) (<= 0 (uf_125 ?x345 ?x342))))) :pat { (uf_13 ?x345 (uf_134 ?x342 ?x343 ?x344)) }) -:assumption (forall (?x346 T4) (?x347 Int) (?x348 T3) (?x349 Int) (?x350 Int) (implies (= (uf_27 ?x346 (uf_43 (uf_124 ?x348 ?x349) ?x347)) uf_9) (implies (and (< ?x350 ?x349) (<= 0 ?x350)) (and (= (uf_27 ?x346 (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348)) uf_9) (and (up_68 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) (and (not (= (uf_135 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) uf_9)) (= (uf_136 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) (uf_43 (uf_124 ?x348 ?x349) ?x347))))))) :pat { (uf_40 (uf_41 ?x346) (uf_66 (uf_43 ?x348 ?x347) ?x350 ?x348)) (uf_43 (uf_124 ?x348 ?x349) ?x347) } :pat { (uf_58 (uf_59 ?x346) (uf_66 (uf_43 ?x348 ?x347) ?x350 ?x348)) (uf_43 (uf_124 ?x348 ?x349) ?x347) }) -:assumption (forall (?x351 T4) (?x352 T5) (?x353 Int) (?x354 T3) (?x355 Int) (iff (= (uf_13 ?x352 (uf_128 ?x351 (uf_43 (uf_124 ?x354 ?x355) ?x353))) uf_9) (or (and (= (uf_13 ?x352 (uf_128 ?x351 (uf_66 (uf_43 ?x354 ?x353) (uf_125 ?x352 (uf_43 ?x354 ?x353)) ?x354))) uf_9) (and (<= (uf_125 ?x352 (uf_43 ?x354 ?x353)) (+ ?x355 1)) (<= 0 (uf_125 ?x352 (uf_43 ?x354 ?x353))))) (= ?x352 (uf_43 (uf_124 ?x354 ?x355) ?x353)))) :pat { (uf_13 ?x352 (uf_128 ?x351 (uf_43 (uf_124 ?x354 ?x355) ?x353))) }) -:assumption (forall (?x356 T5) (?x357 Int) (?x358 T3) (?x359 Int) (iff (= (uf_13 ?x356 (uf_130 (uf_43 (uf_124 ?x358 ?x359) ?x357))) uf_9) (or (and (= (uf_13 ?x356 (uf_130 (uf_66 (uf_43 ?x358 ?x357) (uf_125 ?x356 (uf_43 ?x358 ?x357)) ?x358))) uf_9) (and (<= (uf_125 ?x356 (uf_43 ?x358 ?x357)) (+ ?x359 1)) (<= 0 (uf_125 ?x356 (uf_43 ?x358 ?x357))))) (= ?x356 (uf_43 (uf_124 ?x358 ?x359) ?x357)))) :pat { (uf_13 ?x356 (uf_130 (uf_43 (uf_124 ?x358 ?x359) ?x357))) }) -:assumption (forall (?x360 T4) (?x361 T5) (?x362 T3) (?x363 Int) (iff (= (uf_65 ?x360 ?x361 ?x362 ?x363) uf_9) (and (forall (?x364 Int) (implies (and (< ?x364 ?x363) (<= 0 ?x364)) (and (= (uf_27 ?x360 (uf_66 ?x361 ?x364 ?x362)) uf_9) (up_68 (uf_58 (uf_59 ?x360) (uf_66 ?x361 ?x364 ?x362))))) :pat { (uf_40 (uf_41 ?x360) (uf_66 ?x361 ?x364 ?x362)) } :pat { (uf_58 (uf_59 ?x360) (uf_66 ?x361 ?x364 ?x362)) } :pat { (uf_19 (uf_20 ?x360) (uf_66 ?x361 ?x364 ?x362)) }) (= (uf_48 ?x361 ?x362) uf_9))) :pat { (uf_65 ?x360 ?x361 ?x362 ?x363) }) -:assumption (forall (?x365 T4) (?x366 T5) (?x367 T3) (?x368 Int) (?x369 T2) (iff (= (uf_137 ?x365 ?x366 ?x367 ?x368 ?x369) uf_9) (and (forall (?x370 Int) (implies (and (< ?x370 ?x368) (<= 0 ?x370)) (and (= (uf_27 ?x365 (uf_66 ?x366 ?x370 ?x367)) uf_9) (and (up_68 (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367))) (iff (= (uf_135 (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367))) uf_9) (= ?x369 uf_9))))) :pat { (uf_40 (uf_41 ?x365) (uf_66 ?x366 ?x370 ?x367)) } :pat { (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367)) } :pat { (uf_19 (uf_20 ?x365) (uf_66 ?x366 ?x370 ?x367)) }) (= (uf_48 ?x366 ?x367) uf_9))) :pat { (uf_137 ?x365 ?x366 ?x367 ?x368 ?x369) }) -:assumption (forall (?x371 T5) (?x372 Int) (?x373 Int) (?x374 T3) (implies (and (not (= ?x373 0)) (not (= ?x372 0))) (= (uf_66 (uf_66 ?x371 ?x372 ?x374) ?x373 ?x374) (uf_66 ?x371 (+ ?x372 ?x373) ?x374))) :pat { (uf_66 (uf_66 ?x371 ?x372 ?x374) ?x373 ?x374) }) -:assumption (forall (?x375 T5) (?x376 Int) (?x377 T3) (and (= (uf_66 ?x375 ?x376 ?x377) (uf_43 ?x377 (+ (uf_116 ?x375) (+ ?x376 (uf_138 ?x377))))) (= (uf_139 (uf_66 ?x375 ?x376 ?x377) ?x375) uf_9)) :pat { (uf_66 ?x375 ?x376 ?x377) }) -:assumption (forall (?x378 T5) (?x379 T3) (= (uf_140 ?x378 ?x379) ?x378) :pat { (uf_140 ?x378 ?x379) }) -:assumption (forall (?x380 T3) (?x381 Int) (not (up_36 (uf_124 ?x380 ?x381))) :pat { (uf_124 ?x380 ?x381) }) -:assumption (forall (?x382 T3) (?x383 Int) (= (uf_141 (uf_124 ?x382 ?x383)) uf_9) :pat { (uf_124 ?x382 ?x383) }) -:assumption (forall (?x384 T3) (?x385 Int) (= (uf_142 (uf_124 ?x384 ?x385)) 0) :pat { (uf_124 ?x384 ?x385) }) -:assumption (forall (?x386 T3) (?x387 Int) (= (uf_143 (uf_124 ?x386 ?x387)) ?x387) :pat { (uf_124 ?x386 ?x387) }) -:assumption (forall (?x388 T3) (?x389 Int) (= (uf_144 (uf_124 ?x388 ?x389)) ?x388) :pat { (uf_124 ?x388 ?x389) }) -:assumption (forall (?x390 T5) (?x391 T6) (iff (= (uf_13 ?x390 ?x391) uf_9) (= (uf_145 ?x390 ?x391) uf_9)) :pat { (uf_145 ?x390 ?x391) }) -:assumption (forall (?x392 T5) (?x393 T6) (iff (= (uf_13 ?x392 ?x393) uf_9) (up_146 ?x392 ?x393)) :pat { (uf_13 ?x392 ?x393) }) -:assumption (forall (?x394 T5) (?x395 T6) (iff (= (uf_13 ?x394 ?x395) uf_9) (= (uf_147 ?x394 ?x395) uf_9)) :pat { (uf_13 ?x394 ?x395) }) -:assumption (forall (?x396 T5) (?x397 T4) (?x398 T5) (iff (= (uf_13 ?x396 (uf_53 ?x397 ?x398)) uf_9) (= (uf_147 ?x396 (uf_53 ?x397 ?x398)) uf_9)) :pat { (uf_147 ?x396 (uf_53 ?x397 ?x398)) (uf_148 ?x396) }) -:assumption (forall (?x399 T5) (?x400 T4) (?x401 T5) (implies (= (uf_13 ?x399 (uf_53 ?x400 ?x401)) uf_9) (= (uf_148 ?x399) uf_9)) :pat { (uf_13 ?x399 (uf_53 ?x400 ?x401)) }) -:assumption (forall (?x402 T6) (?x403 T6) (implies (forall (?x404 T5) (and (implies (= (uf_13 ?x404 ?x403) uf_9) (not (= (uf_13 ?x404 ?x402) uf_9))) (implies (= (uf_13 ?x404 ?x402) uf_9) (not (= (uf_13 ?x404 ?x403) uf_9)))) :pat { (uf_18 ?x404) }) (= (uf_131 ?x402 ?x403) uf_9)) :pat { (uf_131 ?x402 ?x403) }) -:assumption (forall (?x405 T5) (?x406 T6) (?x407 T6) (implies (and (= (uf_13 ?x405 ?x407) uf_9) (= (uf_131 ?x406 ?x407) uf_9)) (= (uf_133 ?x405 ?x406 ?x407) 2)) :pat { (uf_131 ?x406 ?x407) (uf_13 ?x405 ?x407) }) -:assumption (forall (?x408 T5) (?x409 T6) (?x410 T6) (implies (and (= (uf_13 ?x408 ?x409) uf_9) (= (uf_131 ?x409 ?x410) uf_9)) (= (uf_133 ?x408 ?x409 ?x410) 1)) :pat { (uf_131 ?x409 ?x410) (uf_13 ?x408 ?x409) }) -:assumption (forall (?x411 T5) (= (uf_13 ?x411 uf_149) uf_9) :pat { (uf_13 ?x411 uf_149) }) -:assumption (forall (?x412 T5) (= (uf_150 (uf_151 ?x412)) 1)) -:assumption (= (uf_150 uf_152) 0) -:assumption (forall (?x413 T6) (?x414 T6) (implies (= (uf_153 ?x413 ?x414) uf_9) (= ?x413 ?x414)) :pat { (uf_153 ?x413 ?x414) }) -:assumption (forall (?x415 T6) (?x416 T6) (implies (forall (?x417 T5) (iff (= (uf_13 ?x417 ?x415) uf_9) (= (uf_13 ?x417 ?x416) uf_9)) :pat { (uf_18 ?x417) }) (= (uf_153 ?x415 ?x416) uf_9)) :pat { (uf_153 ?x415 ?x416) }) -:assumption (forall (?x418 T6) (?x419 T6) (iff (= (uf_154 ?x418 ?x419) uf_9) (forall (?x420 T5) (implies (= (uf_13 ?x420 ?x418) uf_9) (= (uf_13 ?x420 ?x419) uf_9)) :pat { (uf_13 ?x420 ?x418) } :pat { (uf_13 ?x420 ?x419) })) :pat { (uf_154 ?x418 ?x419) }) -:assumption (forall (?x421 T6) (?x422 T6) (?x423 T5) (iff (= (uf_13 ?x423 (uf_155 ?x421 ?x422)) uf_9) (and (= (uf_13 ?x423 ?x422) uf_9) (= (uf_13 ?x423 ?x421) uf_9))) :pat { (uf_13 ?x423 (uf_155 ?x421 ?x422)) }) -:assumption (forall (?x424 T6) (?x425 T6) (?x426 T5) (iff (= (uf_13 ?x426 (uf_156 ?x424 ?x425)) uf_9) (and (not (= (uf_13 ?x426 ?x425) uf_9)) (= (uf_13 ?x426 ?x424) uf_9))) :pat { (uf_13 ?x426 (uf_156 ?x424 ?x425)) }) -:assumption (forall (?x427 T6) (?x428 T6) (?x429 T5) (iff (= (uf_13 ?x429 (uf_157 ?x427 ?x428)) uf_9) (or (= (uf_13 ?x429 ?x428) uf_9) (= (uf_13 ?x429 ?x427) uf_9))) :pat { (uf_13 ?x429 (uf_157 ?x427 ?x428)) }) -:assumption (forall (?x430 T5) (?x431 T5) (iff (= (uf_13 ?x431 (uf_158 ?x430)) uf_9) (and (not (= (uf_116 ?x430) (uf_116 uf_121))) (= ?x430 ?x431))) :pat { (uf_13 ?x431 (uf_158 ?x430)) }) -:assumption (forall (?x432 T5) (?x433 T5) (iff (= (uf_13 ?x433 (uf_151 ?x432)) uf_9) (= ?x432 ?x433)) :pat { (uf_13 ?x433 (uf_151 ?x432)) }) -:assumption (forall (?x434 T5) (not (= (uf_13 ?x434 uf_152) uf_9)) :pat { (uf_13 ?x434 uf_152) }) -:assumption (forall (?x435 T5) (?x436 T5) (= (uf_159 ?x435 ?x436) (uf_43 (uf_124 (uf_144 (uf_15 ?x435)) (+ (uf_143 (uf_15 ?x435)) (uf_143 (uf_15 ?x436)))) (uf_116 ?x435))) :pat { (uf_159 ?x435 ?x436) }) -:assumption (forall (?x437 T5) (?x438 Int) (= (uf_160 ?x437 ?x438) (uf_43 (uf_124 (uf_144 (uf_15 ?x437)) (+ (uf_143 (uf_15 ?x437)) ?x438)) (uf_116 (uf_66 (uf_43 (uf_144 (uf_15 ?x437)) (uf_116 ?x437)) ?x438 (uf_144 (uf_15 ?x437)))))) :pat { (uf_160 ?x437 ?x438) }) -:assumption (forall (?x439 T5) (?x440 Int) (= (uf_161 ?x439 ?x440) (uf_43 (uf_124 (uf_144 (uf_15 ?x439)) ?x440) (uf_116 ?x439))) :pat { (uf_161 ?x439 ?x440) }) -:assumption (forall (?x441 T4) (?x442 T5) (?x443 T5) (iff (= (uf_13 ?x442 (uf_162 ?x441 ?x443)) uf_9) (or (and (= (uf_13 ?x442 (uf_163 ?x443)) uf_9) (= (uf_135 (uf_58 (uf_59 ?x441) ?x442)) uf_9)) (= ?x442 ?x443))) :pat { (uf_13 ?x442 (uf_162 ?x441 ?x443)) }) -:assumption (forall (?x444 T4) (implies (= (uf_164 ?x444) uf_9) (up_165 ?x444)) :pat { (uf_164 ?x444) }) -:assumption (= (uf_142 uf_166) 0) -:assumption (= uf_167 (uf_43 uf_166 uf_168)) -:assumption (forall (?x445 T4) (?x446 T4) (?x447 T5) (?x448 T5) (and true (and (= (uf_170 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) (uf_171 ?x445)) (and (= (uf_38 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) (uf_38 ?x446 ?x448)) (and (= (uf_25 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) uf_26) (and (= (uf_24 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) uf_9) (= (uf_41 (uf_169 ?x445 ?x446 ?x447 ?x448)) (uf_172 (uf_41 ?x446) ?x448 (uf_173 ?x446 ?x447 ?x448)))))))) :pat { (uf_169 ?x445 ?x446 ?x447 ?x448) }) -:assumption (forall (?x449 T4) (?x450 T5) (?x451 T5) (implies (not (= (uf_14 (uf_15 ?x450)) uf_16)) (and true (and (= (uf_38 (uf_174 ?x449 ?x450 ?x451) ?x451) (uf_38 ?x449 ?x451)) (and (= (uf_25 (uf_174 ?x449 ?x450 ?x451) ?x451) ?x450) (and (= (uf_24 (uf_174 ?x449 ?x450 ?x451) ?x451) uf_9) (= (uf_41 (uf_174 ?x449 ?x450 ?x451)) (uf_172 (uf_41 ?x449) ?x451 (uf_175 ?x449 ?x450 ?x451)))))))) :pat { (uf_174 ?x449 ?x450 ?x451) }) -:assumption (forall (?x452 T4) (?x453 T5) (?x454 Int) (and (= (uf_177 ?x452 (uf_176 ?x452 ?x453 ?x454)) uf_9) (and (forall (?x455 T5) (<= (uf_170 ?x452 ?x455) (uf_170 (uf_176 ?x452 ?x455 ?x454) ?x455)) :pat { (uf_170 (uf_176 ?x452 ?x455 ?x454) ?x455) }) (and (< (uf_171 ?x452) (uf_171 (uf_176 ?x452 ?x453 ?x454))) (and (= (uf_20 (uf_176 ?x452 ?x453 ?x454)) (uf_178 (uf_20 ?x452) ?x453 ?x454)) (and (= (uf_41 (uf_176 ?x452 ?x453 ?x454)) (uf_41 ?x452)) (= (uf_59 (uf_176 ?x452 ?x453 ?x454)) (uf_59 ?x452))))))) :pat { (uf_176 ?x452 ?x453 ?x454) }) -:assumption (forall (?x456 T4) (implies (= (uf_51 ?x456) uf_9) (forall (?x457 T5) (?x458 T5) (implies (and (= (uf_24 ?x456 ?x458) uf_9) (and (= (uf_13 ?x457 (uf_53 ?x456 ?x458)) uf_9) (= (uf_51 ?x456) uf_9))) (and (not (= (uf_116 ?x457) 0)) (= (uf_24 ?x456 ?x457) uf_9))) :pat { (uf_13 ?x457 (uf_53 ?x456 ?x458)) })) :pat { (uf_51 ?x456) }) -:assumption (forall (?x459 T4) (?x460 T5) (?x461 T3) (implies (and (= (uf_24 ?x459 ?x460) uf_9) (= (uf_44 ?x459) uf_9)) (= (uf_46 ?x459 ?x459 ?x460 ?x461) uf_9)) :pat { (uf_46 ?x459 ?x459 ?x460 ?x461) }) -:assumption (forall (?x462 T4) (?x463 Int) (?x464 T3) (implies (= (uf_51 ?x462) uf_9) (implies (= (uf_141 ?x464) uf_9) (= (uf_53 ?x462 (uf_43 ?x464 ?x463)) uf_152))) :pat { (uf_53 ?x462 (uf_43 ?x464 ?x463)) (uf_141 ?x464) }) -:assumption (forall (?x465 T4) (?x466 T4) (?x467 T5) (?x468 T3) (implies (and (= (uf_15 ?x467) ?x468) (= (uf_141 ?x468) uf_9)) (and (= (uf_179 ?x465 ?x466 ?x467 ?x468) uf_9) (iff (= (uf_46 ?x465 ?x466 ?x467 ?x468) uf_9) (= (uf_27 ?x466 ?x467) uf_9)))) :pat { (uf_141 ?x468) (uf_46 ?x465 ?x466 ?x467 ?x468) }) -:assumption (forall (?x469 T4) (?x470 T5) (?x471 T5) (implies (and (= (uf_22 (uf_15 ?x470)) uf_9) (and (= (uf_24 ?x469 ?x471) uf_9) (= (uf_51 ?x469) uf_9))) (iff (= (uf_13 ?x470 (uf_53 ?x469 ?x471)) uf_9) (= (uf_25 ?x469 ?x470) ?x471))) :pat { (uf_13 ?x470 (uf_53 ?x469 ?x471)) (uf_22 (uf_15 ?x470)) }) -:assumption (forall (?x472 T4) (?x473 T4) (?x474 Int) (?x475 T3) (?x476 T15) (up_182 (uf_19 (uf_20 ?x473) (uf_126 (uf_43 ?x475 ?x474) ?x476))) :pat { (uf_180 ?x475 ?x476) (uf_181 ?x472 ?x473) (uf_19 (uf_20 ?x472) (uf_126 (uf_43 ?x475 ?x474) ?x476)) }) -:assumption (forall (?x477 T4) (?x478 Int) (?x479 T3) (?x480 T15) (implies (and (= (uf_25 ?x477 (uf_43 ?x479 ?x478)) uf_26) (and (= (uf_180 ?x479 ?x480) uf_9) (and (= (uf_24 ?x477 (uf_43 ?x479 ?x478)) uf_9) (= (uf_55 ?x477) uf_9)))) (= (uf_19 (uf_20 ?x477) (uf_126 (uf_43 ?x479 ?x478) ?x480)) (uf_183 (uf_184 ?x477 (uf_43 ?x479 ?x478)) (uf_126 (uf_43 ?x479 ?x478) ?x480)))) :pat { (uf_180 ?x479 ?x480) (uf_19 (uf_20 ?x477) (uf_126 (uf_43 ?x479 ?x478) ?x480)) }) -:assumption (forall (?x481 T4) (?x482 Int) (?x483 T3) (?x484 T15) (?x485 T15) (implies (and (or (= (uf_28 (uf_183 (uf_184 ?x481 (uf_43 ?x483 ?x482)) (uf_126 (uf_43 ?x483 ?x482) ?x484))) uf_26) (= (uf_28 (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x484))) uf_26)) (and (= (uf_24 ?x481 (uf_43 ?x483 ?x482)) uf_9) (and (= (uf_185 ?x483 ?x484 ?x485) uf_9) (= (uf_55 ?x481) uf_9)))) (= (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x485)) (uf_183 (uf_184 ?x481 (uf_43 ?x483 ?x482)) (uf_126 (uf_43 ?x483 ?x482) ?x485)))) :pat { (uf_185 ?x483 ?x484 ?x485) (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x485)) }) -:assumption (forall (?x486 T4) (?x487 T5) (= (uf_184 ?x486 ?x487) (uf_30 (uf_19 (uf_20 ?x486) ?x487))) :pat { (uf_184 ?x486 ?x487) }) -:assumption (forall (?x488 T4) (?x489 T5) (?x490 T5) (?x491 T15) (?x492 Int) (?x493 Int) (?x494 T3) (implies (and (< ?x492 ?x493) (and (<= 0 ?x492) (and (= (uf_187 ?x491 ?x493) uf_9) (and (= (uf_186 ?x489 ?x490) uf_9) (and (= (uf_24 ?x488 ?x490) uf_9) (= (uf_51 ?x488) uf_9)))))) (= (uf_19 (uf_20 ?x488) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_11 (uf_189 ?x490) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)))) :pat { (uf_49 ?x488 ?x490) (uf_186 ?x489 ?x490) (uf_19 (uf_20 ?x488) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_187 ?x491 ?x493) } :pat { (uf_188 ?x488 ?x490 ?x489 (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_187 ?x491 ?x493) }) -:assumption (forall (?x495 T4) (?x496 T5) (?x497 T5) (?x498 T15) (implies (and (= (uf_190 ?x498) uf_9) (and (= (uf_186 ?x496 ?x497) uf_9) (and (= (uf_24 ?x495 ?x497) uf_9) (= (uf_51 ?x495) uf_9)))) (and (= (uf_19 (uf_20 ?x495) (uf_126 ?x496 ?x498)) (uf_11 (uf_189 ?x497) (uf_126 ?x496 ?x498))) (= (uf_186 ?x496 ?x497) uf_9))) :pat { (uf_186 ?x496 ?x497) (uf_19 (uf_20 ?x495) (uf_126 ?x496 ?x498)) } :pat { (uf_188 ?x495 ?x497 ?x496 (uf_126 ?x496 ?x498)) }) -:assumption (forall (?x499 T4) (?x500 T5) (?x501 T5) (?x502 T5) (= (uf_188 ?x499 ?x500 ?x501 ?x502) ?x502) :pat { (uf_188 ?x499 ?x500 ?x501 ?x502) }) -:assumption (forall (?x503 T5) (?x504 T5) (implies (forall (?x505 T4) (implies (= (uf_49 ?x505 ?x504) uf_9) (= (uf_24 ?x505 ?x503) uf_9)) :pat { (uf_191 ?x505) }) (= (uf_186 ?x503 ?x504) uf_9)) :pat { (uf_186 ?x503 ?x504) }) -:assumption (forall (?x506 T5) (?x507 T4) (?x508 T4) (?x509 T5) (up_193 (uf_13 ?x509 (uf_192 (uf_12 ?x508 ?x506)))) :pat { (uf_13 ?x509 (uf_192 (uf_12 ?x507 ?x506))) (uf_177 ?x507 ?x508) }) -:assumption (forall (?x510 T5) (?x511 T4) (?x512 T4) (?x513 T5) (up_193 (uf_13 ?x513 (uf_10 ?x512 ?x510))) :pat { (uf_13 ?x513 (uf_10 ?x511 ?x510)) (uf_177 ?x511 ?x512) }) -:assumption (forall (?x514 T4) (?x515 T5) (?x516 T15) (?x517 Int) (?x518 Int) (?x519 T3) (implies (and (< ?x518 ?x517) (and (<= 0 ?x518) (and (= (uf_194 ?x516 ?x517 ?x519) uf_9) (= (uf_51 ?x514) uf_9)))) (= (uf_135 (uf_58 (uf_59 ?x514) (uf_66 (uf_126 ?x515 ?x516) ?x518 ?x519))) uf_9)) :pat { (uf_194 ?x516 ?x517 ?x519) (uf_135 (uf_58 (uf_59 ?x514) (uf_66 (uf_126 ?x515 ?x516) ?x518 ?x519))) }) -:assumption (forall (?x520 T4) (?x521 Int) (?x522 T5) (?x523 Int) (?x524 Int) (?x525 T3) (implies (and (< ?x524 ?x523) (and (<= 0 ?x524) (and (= (uf_13 (uf_43 (uf_124 ?x525 ?x523) ?x521) (uf_10 ?x520 ?x522)) uf_9) (and (= (uf_23 ?x525) uf_9) (= (uf_55 ?x520) uf_9))))) (= (uf_19 (uf_20 ?x520) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)) (uf_11 (uf_12 ?x520 ?x522) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)))) :pat { (uf_13 (uf_43 (uf_124 ?x525 ?x523) ?x521) (uf_10 ?x520 ?x522)) (uf_19 (uf_20 ?x520) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)) (uf_23 ?x525) }) -:assumption (forall (?x526 T4) (?x527 Int) (?x528 T5) (?x529 Int) (?x530 Int) (?x531 T3) (implies (and (< ?x530 ?x529) (and (<= 0 ?x530) (and (= (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) uf_9) (and (= (uf_23 ?x531) uf_9) (= (uf_55 ?x526) uf_9))))) (and (not (= (uf_135 (uf_58 (uf_59 ?x526) (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531))) uf_9)) (= (uf_27 ?x526 (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) uf_9))) :pat { (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) (uf_58 (uf_59 ?x526) (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) (uf_23 ?x531) } :pat { (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) (uf_25 ?x526 (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) (uf_23 ?x531) }) -:assumption (forall (?x532 T4) (?x533 T5) (?x534 T5) (?x535 T15) (?x536 Int) (?x537 Int) (?x538 T3) (implies (and (< ?x537 ?x536) (and (<= 0 ?x537) (and (= (uf_187 ?x535 ?x536) uf_9) (and (= (uf_13 ?x533 (uf_10 ?x532 ?x534)) uf_9) (= (uf_55 ?x532) uf_9))))) (and (not (= (uf_135 (uf_58 (uf_59 ?x532) (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538))) uf_9)) (= (uf_27 ?x532 (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) uf_9))) :pat { (uf_13 ?x533 (uf_10 ?x532 ?x534)) (uf_187 ?x535 ?x536) (uf_58 (uf_59 ?x532) (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) } :pat { (uf_13 ?x533 (uf_10 ?x532 ?x534)) (uf_187 ?x535 ?x536) (uf_25 ?x532 (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) }) -:assumption (forall (?x539 T4) (?x540 T5) (?x541 T5) (?x542 T15) (?x543 Int) (?x544 Int) (?x545 T3) (implies (and (< ?x544 ?x543) (and (<= 0 ?x544) (and (= (uf_187 ?x542 ?x543) uf_9) (and (= (uf_13 ?x540 (uf_10 ?x539 ?x541)) uf_9) (= (uf_55 ?x539) uf_9))))) (= (uf_19 (uf_20 ?x539) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)) (uf_11 (uf_12 ?x539 ?x541) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)))) :pat { (uf_13 ?x540 (uf_10 ?x539 ?x541)) (uf_187 ?x542 ?x543) (uf_19 (uf_20 ?x539) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)) }) -:assumption (forall (?x546 T4) (?x547 T5) (?x548 T5) (?x549 T15) (implies (and (= (uf_190 ?x549) uf_9) (and (= (uf_13 ?x547 (uf_10 ?x546 ?x548)) uf_9) (= (uf_55 ?x546) uf_9))) (and (not (= (uf_135 (uf_58 (uf_59 ?x546) (uf_126 ?x547 ?x549))) uf_9)) (= (uf_27 ?x546 (uf_126 ?x547 ?x549)) uf_9))) :pat { (uf_13 ?x547 (uf_10 ?x546 ?x548)) (uf_190 ?x549) (uf_25 ?x546 (uf_126 ?x547 ?x549)) } :pat { (uf_13 ?x547 (uf_10 ?x546 ?x548)) (uf_190 ?x549) (uf_58 (uf_59 ?x546) (uf_126 ?x547 ?x549)) }) -:assumption (forall (?x550 T4) (?x551 T5) (?x552 T5) (implies (and (= (uf_13 ?x551 (uf_10 ?x550 ?x552)) uf_9) (= (uf_55 ?x550) uf_9)) (and (not (= (uf_135 (uf_58 (uf_59 ?x550) ?x551)) uf_9)) (= (uf_27 ?x550 ?x551) uf_9))) :pat { (uf_55 ?x550) (uf_13 ?x551 (uf_10 ?x550 ?x552)) (uf_40 (uf_41 ?x550) ?x551) } :pat { (uf_55 ?x550) (uf_13 ?x551 (uf_10 ?x550 ?x552)) (uf_58 (uf_59 ?x550) ?x551) }) -:assumption (forall (?x553 T4) (?x554 T5) (?x555 T5) (?x556 T15) (implies (and (= (uf_190 ?x556) uf_9) (= (uf_13 ?x554 (uf_10 ?x553 ?x555)) uf_9)) (= (uf_19 (uf_20 ?x553) (uf_126 ?x554 ?x556)) (uf_11 (uf_12 ?x553 ?x555) (uf_126 ?x554 ?x556)))) :pat { (uf_13 ?x554 (uf_10 ?x553 ?x555)) (uf_190 ?x556) (uf_19 (uf_20 ?x553) (uf_126 ?x554 ?x556)) }) -:assumption (forall (?x557 T4) (?x558 T5) (?x559 T5) (implies (= (uf_195 ?x557 ?x558 ?x559) uf_9) (= (uf_196 ?x557 ?x558 ?x559) uf_9)) :pat { (uf_195 ?x557 ?x558 ?x559) }) -:assumption (forall (?x560 T4) (?x561 T5) (?x562 T5) (?x563 T5) (implies (and (forall (?x564 T4) (implies (and (= (uf_10 ?x564 ?x561) (uf_10 ?x560 ?x561)) (and (= (uf_12 ?x564 ?x561) (uf_12 ?x560 ?x561)) (= (uf_46 ?x564 ?x564 ?x562 (uf_15 ?x562)) uf_9))) (= (uf_145 ?x563 (uf_53 ?x564 ?x562)) uf_9))) (and (= (uf_13 ?x562 (uf_10 ?x560 ?x561)) uf_9) (up_197 (uf_15 ?x562)))) (and (= (uf_145 ?x563 (uf_53 ?x560 ?x562)) uf_9) (= (uf_195 ?x560 ?x563 ?x561) uf_9))) :pat { (uf_13 ?x562 (uf_10 ?x560 ?x561)) (uf_195 ?x560 ?x563 ?x561) }) -:assumption (forall (?x565 T4) (?x566 T5) (?x567 T5) (?x568 T5) (implies (and (= (uf_145 ?x568 (uf_53 ?x565 ?x567)) uf_9) (and (= (uf_13 ?x567 (uf_10 ?x565 ?x566)) uf_9) (not (up_197 (uf_15 ?x567))))) (and (= (uf_145 ?x568 (uf_53 ?x565 ?x567)) uf_9) (= (uf_196 ?x565 ?x568 ?x566) uf_9))) :pat { (uf_13 ?x567 (uf_10 ?x565 ?x566)) (uf_196 ?x565 ?x568 ?x566) }) -:assumption (forall (?x569 T4) (?x570 T5) (?x571 T5) (implies (and (= (uf_13 ?x571 (uf_10 ?x569 ?x570)) uf_9) (= (uf_55 ?x569) uf_9)) (= (uf_196 ?x569 ?x571 ?x570) uf_9)) :pat { (uf_196 ?x569 ?x571 ?x570) }) -:assumption (forall (?x572 T4) (?x573 T5) (implies (and (= (uf_22 (uf_15 ?x573)) uf_9) (and (not (= (uf_14 (uf_15 ?x573)) uf_16)) (and (= (uf_27 ?x572 ?x573) uf_9) (and (= (uf_48 ?x573 (uf_15 ?x573)) uf_9) (and (= (uf_25 ?x572 ?x573) uf_26) (and (= (uf_24 ?x572 ?x573) uf_9) (= (uf_55 ?x572) uf_9))))))) (= (uf_196 ?x572 ?x573 ?x573) uf_9)) :pat { (uf_196 ?x572 ?x573 ?x573) }) -:assumption (forall (?x574 T4) (?x575 T5) (?x576 T5) (implies (= (uf_196 ?x574 ?x575 ?x576) uf_9) (and (forall (?x577 T5) (implies (and (= (uf_13 ?x577 (uf_53 ?x574 ?x575)) uf_9) (not (up_197 (uf_15 ?x575)))) (= (uf_147 ?x577 (uf_192 (uf_12 ?x574 ?x576))) uf_9)) :pat { (uf_13 ?x577 (uf_53 ?x574 ?x575)) }) (and (= (uf_24 ?x574 ?x575) uf_9) (= (uf_13 ?x575 (uf_10 ?x574 ?x576)) uf_9)))) :pat { (uf_196 ?x574 ?x575 ?x576) }) -:assumption (forall (?x578 T4) (?x579 T5) (?x580 T5) (?x581 T16) (iff (= (uf_198 ?x578 ?x579 ?x580 ?x581) uf_9) (= (uf_195 ?x578 ?x579 ?x580) uf_9)) :pat { (uf_198 ?x578 ?x579 ?x580 ?x581) }) -:assumption (forall (?x582 T4) (?x583 T5) (?x584 T5) (?x585 T16) (implies (= (uf_198 ?x582 ?x583 ?x584 ?x585) uf_9) (up_199 ?x582 ?x583 ?x585)) :pat { (uf_198 ?x582 ?x583 ?x584 ?x585) }) -:assumption (forall (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16) (iff (= (uf_200 ?x586 ?x587 ?x588 ?x589) uf_9) (= (uf_196 ?x586 ?x587 ?x588) uf_9)) :pat { (uf_200 ?x586 ?x587 ?x588 ?x589) }) -:assumption (forall (?x590 T4) (?x591 T5) (?x592 T5) (?x593 T16) (implies (= (uf_200 ?x590 ?x591 ?x592 ?x593) uf_9) (up_199 ?x590 ?x591 ?x593)) :pat { (uf_200 ?x590 ?x591 ?x592 ?x593) }) -:assumption (forall (?x594 T4) (?x595 T5) (= (uf_10 ?x594 ?x595) (uf_192 (uf_12 ?x594 ?x595))) :pat { (uf_10 ?x594 ?x595) }) -:assumption (forall (?x596 T4) (?x597 T5) (= (uf_12 ?x596 ?x597) (uf_32 (uf_19 (uf_20 ?x596) ?x597))) :pat { (uf_12 ?x596 ?x597) }) -:assumption (forall (?x598 T4) (?x599 Int) (?x600 T3) (= (uf_43 ?x600 (uf_19 (uf_20 ?x598) (uf_43 (uf_6 ?x600) ?x599))) (uf_201 ?x598 (uf_43 (uf_6 ?x600) ?x599) ?x600)) :pat { (uf_43 ?x600 (uf_19 (uf_20 ?x598) (uf_43 (uf_6 ?x600) ?x599))) }) -:assumption (forall (?x601 T1) (?x602 T4) (implies (= (uf_202 ?x601 ?x602) uf_9) (= (uf_51 ?x602) uf_9)) :pat { (uf_202 ?x601 ?x602) }) -:assumption (forall (?x603 T4) (implies (= (uf_44 ?x603) uf_9) (= (uf_51 ?x603) uf_9)) :pat { (uf_44 ?x603) }) -:assumption (forall (?x604 T4) (implies (= (uf_55 ?x604) uf_9) (and (= (uf_44 ?x604) uf_9) (= (uf_51 ?x604) uf_9))) :pat { (uf_55 ?x604) }) -:assumption (forall (?x605 T4) (implies (= (uf_203 ?x605) uf_9) (and (<= 0 (uf_171 ?x605)) (= (uf_55 ?x605) uf_9))) :pat { (uf_203 ?x605) }) -:assumption (forall (?x606 T3) (implies (= (uf_23 ?x606) uf_9) (forall (?x607 T4) (?x608 Int) (?x609 T5) (iff (= (uf_13 ?x609 (uf_128 ?x607 (uf_43 ?x606 ?x608))) uf_9) (= ?x609 (uf_43 ?x606 ?x608))) :pat { (uf_13 ?x609 (uf_128 ?x607 (uf_43 ?x606 ?x608))) })) :pat { (uf_23 ?x606) }) -:assumption (forall (?x610 T3) (implies (= (uf_23 ?x610) uf_9) (forall (?x611 Int) (?x612 T5) (iff (= (uf_13 ?x612 (uf_130 (uf_43 ?x610 ?x611))) uf_9) (= ?x612 (uf_43 ?x610 ?x611))) :pat { (uf_13 ?x612 (uf_130 (uf_43 ?x610 ?x611))) })) :pat { (uf_23 ?x610) }) -:assumption (forall (?x613 T4) (?x614 T4) (?x615 T5) (?x616 T3) (iff (= (uf_204 ?x613 ?x614 ?x615 ?x616) uf_9) (and (up_205 ?x613 ?x614 ?x615 ?x616) (and (= (uf_58 (uf_59 ?x613) ?x615) (uf_58 (uf_59 ?x614) ?x615)) (= (uf_12 ?x613 ?x615) (uf_12 ?x614 ?x615))))) :pat { (uf_204 ?x613 ?x614 ?x615 ?x616) }) -:assumption (forall (?x617 T4) (?x618 T4) (?x619 T5) (?x620 T3) (iff (= (uf_206 ?x617 ?x618 ?x619 ?x620) uf_9) (and (= (uf_123 ?x617 ?x618 ?x619 ?x620) uf_9) (and (= (uf_58 (uf_59 ?x617) ?x619) (uf_58 (uf_59 ?x618) ?x619)) (and (= (uf_53 ?x617 ?x619) (uf_53 ?x618 ?x619)) (= (uf_12 ?x617 ?x619) (uf_12 ?x618 ?x619)))))) :pat { (uf_206 ?x617 ?x618 ?x619 ?x620) }) -:assumption (forall (?x621 T4) (?x622 T4) (?x623 T5) (?x624 T5) (iff (= (uf_207 ?x621 ?x622 ?x623 ?x624) uf_9) (or (= (uf_208 (uf_15 ?x623)) uf_9) (or (and (= (uf_204 ?x621 ?x622 ?x623 (uf_15 ?x623)) uf_9) (= (uf_46 ?x621 ?x622 ?x623 (uf_15 ?x623)) uf_9)) (or (and (not (= (uf_24 ?x622 ?x623) uf_9)) (not (= (uf_24 ?x621 ?x623) uf_9))) (= (uf_206 ?x621 ?x622 ?x624 (uf_15 ?x624)) uf_9))))) :pat { (uf_207 ?x621 ?x622 ?x623 ?x624) }) -:assumption (forall (?x625 T4) (?x626 T4) (?x627 T5) (?x628 T3) (iff (= (uf_179 ?x625 ?x626 ?x627 ?x628) uf_9) (implies (and (= (uf_24 ?x626 ?x627) uf_9) (= (uf_24 ?x625 ?x627) uf_9)) (= (uf_206 ?x625 ?x626 ?x627 ?x628) uf_9))) :pat { (uf_179 ?x625 ?x626 ?x627 ?x628) }) -:assumption (forall (?x629 T4) (?x630 T5) (?x631 T3) (implies (up_209 ?x629 ?x630 ?x631) (= (uf_46 ?x629 ?x629 ?x630 ?x631) uf_9)) :pat { (uf_46 ?x629 ?x629 ?x630 ?x631) }) -:assumption (forall (?x632 T4) (?x633 T5) (iff (= (uf_67 ?x632 ?x633) uf_9) (and (or (and (or (= (uf_210 ?x632 ?x633) uf_9) (= (uf_25 ?x632 ?x633) uf_26)) (not (= (uf_14 (uf_15 ?x633)) uf_16))) (and (or (= (uf_210 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_9) (= (uf_25 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_26)) (and (not (= (uf_14 (uf_15 (uf_136 (uf_58 (uf_59 ?x632) ?x633)))) uf_16)) (and (or (not (= (uf_24 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_9)) (not (= (uf_135 (uf_58 (uf_59 ?x632) ?x633)) uf_9))) (= (uf_14 (uf_15 ?x633)) uf_16))))) (= (uf_27 ?x632 ?x633) uf_9))) :pat { (uf_67 ?x632 ?x633) }) -:assumption (forall (?x634 T4) (?x635 T5) (iff (= (uf_210 ?x634 ?x635) uf_9) (exists (?x636 T5) (and (= (uf_211 ?x634 ?x636) uf_9) (and (= (uf_22 (uf_15 ?x636)) uf_9) (and (not (= (uf_14 (uf_15 ?x636)) uf_16)) (and (= (uf_27 ?x634 ?x636) uf_9) (and (= (uf_48 ?x636 (uf_15 ?x636)) uf_9) (and (= (uf_25 ?x634 ?x636) uf_26) (and (= (uf_24 ?x634 ?x636) uf_9) (= (uf_13 ?x635 (uf_192 (uf_12 ?x634 ?x636))) uf_9)))))))) :pat { (uf_147 ?x635 (uf_192 (uf_12 ?x634 ?x636))) })) :pat { (uf_210 ?x634 ?x635) }) -:assumption (forall (?x637 T4) (?x638 T5) (iff (= (uf_211 ?x637 ?x638) uf_9) true) :pat { (uf_211 ?x637 ?x638) }) -:assumption (forall (?x639 T4) (?x640 T4) (?x641 T5) (implies (= (uf_177 ?x639 ?x640) uf_9) (up_212 (uf_40 (uf_41 ?x639) ?x641))) :pat { (uf_40 (uf_41 ?x640) ?x641) (uf_177 ?x639 ?x640) }) -:assumption (forall (?x642 T4) (?x643 T5) (implies (and (= (uf_27 ?x642 ?x643) uf_9) (= (uf_51 ?x642) uf_9)) (< 0 (uf_116 ?x643))) :pat { (uf_27 ?x642 ?x643) }) -:assumption (forall (?x644 T4) (?x645 T5) (implies (= (uf_51 ?x644) uf_9) (iff (= (uf_27 ?x644 ?x645) uf_9) (up_213 (uf_58 (uf_59 ?x644) ?x645)))) :pat { (uf_27 ?x644 ?x645) }) -:assumption (forall (?x646 T4) (?x647 T5) (iff (= (uf_61 ?x646 ?x647) uf_9) (and (not (= (uf_24 ?x646 ?x647) uf_9)) (and (= (uf_25 ?x646 ?x647) uf_26) (= (uf_27 ?x646 ?x647) uf_9)))) :pat { (uf_61 ?x646 ?x647) }) -:assumption (forall (?x648 T4) (?x649 T5) (= (uf_53 ?x648 ?x649) (uf_34 (uf_19 (uf_20 ?x648) (uf_126 ?x649 (uf_214 (uf_15 ?x649)))))) :pat { (uf_53 ?x648 ?x649) }) -:assumption (forall (?x650 T11) (and (= (uf_22 (uf_15 (uf_215 ?x650))) uf_9) (not (= (uf_14 (uf_15 (uf_215 ?x650))) uf_16))) :pat { (uf_215 ?x650) }) -:assumption up_216 -:assumption (forall (?x651 T4) (?x652 T5) (implies (= (uf_22 (uf_15 ?x652)) uf_9) (= (uf_170 ?x651 ?x652) (uf_217 (uf_40 (uf_41 ?x651) ?x652)))) :pat { (uf_22 (uf_15 ?x652)) (uf_170 ?x651 ?x652) }) -:assumption (forall (?x653 T4) (?x654 T5) (implies (= (uf_23 (uf_15 ?x654)) uf_9) (= (uf_170 ?x653 ?x654) (uf_217 (uf_40 (uf_41 ?x653) (uf_136 (uf_58 (uf_59 ?x653) ?x654)))))) :pat { (uf_23 (uf_15 ?x654)) (uf_170 ?x653 ?x654) }) -:assumption (forall (?x655 T4) (?x656 T5) (implies (= (uf_22 (uf_15 ?x656)) uf_9) (iff (= (uf_24 ?x655 ?x656) uf_9) (up_218 (uf_40 (uf_41 ?x655) ?x656)))) :pat { (uf_22 (uf_15 ?x656)) (uf_24 ?x655 ?x656) }) -:assumption (forall (?x657 T4) (?x658 T5) (implies (= (uf_23 (uf_15 ?x658)) uf_9) (iff (= (uf_24 ?x657 ?x658) uf_9) (up_218 (uf_40 (uf_41 ?x657) (uf_136 (uf_58 (uf_59 ?x657) ?x658)))))) :pat { (uf_23 (uf_15 ?x658)) (uf_24 ?x657 ?x658) }) -:assumption (forall (?x659 T4) (?x660 T5) (implies (= (uf_22 (uf_15 ?x660)) uf_9) (= (uf_25 ?x659 ?x660) (uf_215 (uf_40 (uf_41 ?x659) ?x660)))) :pat { (uf_22 (uf_15 ?x660)) (uf_25 ?x659 ?x660) }) -:assumption (forall (?x661 T4) (?x662 T5) (implies (= (uf_23 (uf_15 ?x662)) uf_9) (= (uf_25 ?x661 ?x662) (uf_25 ?x661 (uf_136 (uf_58 (uf_59 ?x661) ?x662))))) :pat { (uf_23 (uf_15 ?x662)) (uf_25 ?x661 ?x662) }) -:assumption (forall (?x663 T5) (?x664 T3) (= (uf_126 ?x663 (uf_214 ?x664)) (uf_43 uf_219 (uf_220 ?x663 (uf_214 ?x664)))) :pat { (uf_126 ?x663 (uf_214 ?x664)) }) -:assumption (up_197 uf_37) -:assumption (forall (?x665 T17) (?x666 T17) (?x667 T15) (implies (= (uf_224 (uf_225 (uf_222 ?x665 ?x667)) (uf_225 (uf_222 ?x666 ?x667))) uf_9) (= (uf_221 (uf_222 ?x665 ?x667) (uf_222 ?x666 ?x667)) uf_9)) :pat { (uf_221 (uf_222 ?x665 ?x667) (uf_222 ?x666 (uf_223 ?x667))) }) -:assumption (forall (?x668 T17) (?x669 T17) (implies (forall (?x670 T15) (= (uf_221 (uf_222 ?x668 ?x670) (uf_222 ?x669 ?x670)) uf_9)) (= (uf_224 ?x668 ?x669) uf_9)) :pat { (uf_224 ?x668 ?x669) }) -:assumption (forall (?x671 T17) (= (uf_225 (uf_226 ?x671)) ?x671)) -:assumption (forall (?x672 Int) (?x673 Int) (iff (= (uf_221 ?x672 ?x673) uf_9) (= ?x672 ?x673)) :pat { (uf_221 ?x672 ?x673) }) -:assumption (forall (?x674 T17) (?x675 T17) (iff (= (uf_224 ?x674 ?x675) uf_9) (= ?x674 ?x675)) :pat { (uf_224 ?x674 ?x675) }) -:assumption (forall (?x676 T3) (?x677 T15) (?x678 T3) (implies (and (= (uf_228 ?x678) uf_9) (= (uf_227 ?x676 ?x677 ?x678) uf_9)) (= (uf_223 ?x677) ?x677)) :pat { (uf_227 ?x676 ?x677 ?x678) (uf_228 ?x678) }) -:assumption (forall (?x679 T3) (implies (= (uf_228 ?x679) uf_9) (= (uf_23 ?x679) uf_9)) :pat { (uf_228 ?x679) }) -:assumption (forall (?x680 T17) (?x681 T15) (?x682 T15) (?x683 Int) (or (= ?x681 ?x682) (= (uf_222 (uf_229 ?x680 ?x681 ?x683) ?x682) (uf_222 ?x680 ?x682))) :pat { (uf_222 (uf_229 ?x680 ?x681 ?x683) ?x682) }) -:assumption (forall (?x684 T17) (?x685 T15) (?x686 Int) (= (uf_222 (uf_229 ?x684 ?x685 ?x686) ?x685) ?x686) :pat { (uf_222 (uf_229 ?x684 ?x685 ?x686) ?x685) }) -:assumption (forall (?x687 T15) (= (uf_222 uf_230 ?x687) 0)) -:assumption (forall (?x688 T17) (?x689 T15) (?x690 Int) (?x691 Int) (?x692 Int) (?x693 Int) (= (uf_231 ?x688 ?x689 ?x690 ?x691 ?x692 ?x693) (uf_229 ?x688 ?x689 (uf_99 (uf_222 ?x688 ?x689) ?x690 ?x691 ?x692 ?x693))) :pat { (uf_231 ?x688 ?x689 ?x690 ?x691 ?x692 ?x693) }) -:assumption (forall (?x694 T4) (?x695 T5) (implies (= (uf_51 ?x694) uf_9) (and (= (uf_233 (uf_232 ?x694 ?x695)) ?x694) (= (uf_234 (uf_232 ?x694 ?x695)) (uf_116 ?x695)))) :pat { (uf_232 ?x694 ?x695) }) -:assumption (forall (?x696 T18) (= (uf_51 (uf_233 ?x696)) uf_9)) -:assumption (= (uf_51 (uf_233 uf_235)) uf_9) -:assumption (forall (?x697 T4) (?x698 T5) (or (not (up_213 (uf_58 (uf_59 ?x697) ?x698))) (<= (uf_170 ?x697 ?x698) (uf_171 ?x697))) :pat { (uf_40 (uf_41 ?x697) ?x698) }) -:assumption (forall (?x699 T4) (?x700 T5) (implies (and (= (uf_135 (uf_58 (uf_59 ?x699) ?x700)) uf_9) (= (uf_51 ?x699) uf_9)) (= (uf_14 (uf_15 ?x700)) uf_16)) :pat { (uf_135 (uf_58 (uf_59 ?x699) ?x700)) }) -:assumption (forall (?x701 T4) (?x702 T5) (implies (= (uf_27 ?x701 ?x702) uf_9) (= (uf_27 ?x701 (uf_136 (uf_58 (uf_59 ?x701) ?x702))) uf_9)) :pat { (uf_27 ?x701 ?x702) (uf_58 (uf_59 ?x701) (uf_136 (uf_58 (uf_59 ?x701) ?x702))) }) -:assumption (forall (?x703 T14) (and (= (uf_22 (uf_15 (uf_136 ?x703))) uf_9) (not (= (uf_14 (uf_15 (uf_136 ?x703))) uf_16))) :pat { (uf_136 ?x703) }) -:assumption (forall (?x704 T5) (?x705 T15) (implies (<= 0 (uf_237 ?x705)) (= (uf_116 (uf_126 (uf_236 ?x704 ?x705) ?x705)) (uf_116 ?x704))) :pat { (uf_126 (uf_236 ?x704 ?x705) ?x705) }) -:assumption (forall (?x706 T5) (?x707 T15) (= (uf_236 ?x706 ?x707) (uf_43 (uf_238 ?x707) (uf_239 ?x706 ?x707))) :pat { (uf_236 ?x706 ?x707) }) -:assumption (forall (?x708 Int) (?x709 T15) (= (uf_236 (uf_126 (uf_43 (uf_238 ?x709) ?x708) ?x709) ?x709) (uf_43 (uf_238 ?x709) ?x708)) :pat { (uf_236 (uf_126 (uf_43 (uf_238 ?x709) ?x708) ?x709) ?x709) }) -:assumption (forall (?x710 T5) (?x711 T3) (implies (= (uf_48 ?x710 ?x711) uf_9) (= ?x710 (uf_43 ?x711 (uf_116 ?x710)))) :pat { (uf_48 ?x710 ?x711) }) -:assumption (forall (?x712 T5) (?x713 T3) (iff (= (uf_48 ?x712 ?x713) uf_9) (= (uf_15 ?x712) ?x713))) -:assumption (= uf_121 (uf_43 uf_240 0)) -:assumption (forall (?x714 T15) (?x715 Int) (and (= (uf_242 (uf_241 ?x714 ?x715)) ?x715) (and (= (uf_243 (uf_241 ?x714 ?x715)) ?x714) (not (up_244 (uf_241 ?x714 ?x715))))) :pat { (uf_241 ?x714 ?x715) }) -:assumption (forall (?x716 T5) (?x717 T15) (and (= (uf_245 (uf_220 ?x716 ?x717)) ?x717) (= (uf_246 (uf_220 ?x716 ?x717)) ?x716)) :pat { (uf_220 ?x716 ?x717) }) -:assumption (forall (?x718 T3) (?x719 Int) (= (uf_116 (uf_43 ?x718 ?x719)) ?x719)) -:assumption (forall (?x720 T3) (?x721 Int) (= (uf_15 (uf_43 ?x720 ?x721)) ?x720)) -:assumption (forall (?x722 T3) (?x723 T3) (?x724 Int) (?x725 Int) (iff (= (uf_247 ?x722 ?x723 ?x724 ?x725) uf_9) (and (= (uf_248 ?x722 ?x723) ?x725) (and (= (uf_249 ?x722 ?x723) ?x724) (up_250 ?x722 ?x723)))) :pat { (uf_247 ?x722 ?x723 ?x724 ?x725) }) -:assumption (forall (?x726 T5) (= (uf_139 ?x726 ?x726) uf_9) :pat { (uf_15 ?x726) }) -:assumption (forall (?x727 T5) (?x728 T5) (?x729 T5) (implies (and (= (uf_139 ?x728 ?x729) uf_9) (= (uf_139 ?x727 ?x728) uf_9)) (= (uf_139 ?x727 ?x729) uf_9)) :pat { (uf_139 ?x727 ?x728) (uf_139 ?x728 ?x729) }) -:assumption (forall (?x730 T12) (?x731 T5) (?x732 T5) (?x733 T11) (or (= (uf_40 (uf_172 ?x730 ?x731 ?x733) ?x732) (uf_40 ?x730 ?x732)) (= ?x731 ?x732))) -:assumption (forall (?x734 T12) (?x735 T5) (?x736 T11) (= (uf_40 (uf_172 ?x734 ?x735 ?x736) ?x735) ?x736)) -:assumption (forall (?x737 T13) (?x738 T5) (?x739 T5) (?x740 T14) (or (= (uf_58 (uf_251 ?x737 ?x738 ?x740) ?x739) (uf_58 ?x737 ?x739)) (= ?x738 ?x739))) -:assumption (forall (?x741 T13) (?x742 T5) (?x743 T14) (= (uf_58 (uf_251 ?x741 ?x742 ?x743) ?x742) ?x743)) -:assumption (forall (?x744 T9) (?x745 T5) (?x746 T5) (?x747 Int) (or (= (uf_19 (uf_178 ?x744 ?x745 ?x747) ?x746) (uf_19 ?x744 ?x746)) (= ?x745 ?x746))) -:assumption (forall (?x748 T9) (?x749 T5) (?x750 Int) (= (uf_19 (uf_178 ?x748 ?x749 ?x750) ?x749) ?x750)) -:assumption (= uf_26 (uf_43 uf_252 uf_253)) -:assumption (= (uf_23 uf_254) uf_9) -:assumption (= (uf_23 uf_255) uf_9) -:assumption (= (uf_23 uf_84) uf_9) -:assumption (= (uf_23 uf_4) uf_9) -:assumption (= (uf_23 uf_91) uf_9) -:assumption (= (uf_23 uf_7) uf_9) -:assumption (= (uf_23 uf_83) uf_9) -:assumption (= (uf_23 uf_87) uf_9) -:assumption (= (uf_23 uf_90) uf_9) -:assumption (= (uf_23 uf_94) uf_9) -:assumption (= (uf_208 uf_252) uf_9) -:assumption (= (uf_23 uf_256) uf_9) -:assumption (= (uf_23 uf_219) uf_9) -:assumption (= (uf_23 uf_257) uf_9) -:assumption (= (uf_23 uf_258) uf_9) -:assumption (= (uf_23 uf_240) uf_9) -:assumption (forall (?x751 T3) (implies (= (uf_23 ?x751) uf_9) (not (up_36 ?x751))) :pat { (uf_23 ?x751) }) -:assumption (forall (?x752 T3) (= (uf_23 (uf_6 ?x752)) uf_9) :pat { (uf_6 ?x752) }) -:assumption (forall (?x753 T3) (?x754 T3) (= (uf_23 (uf_259 ?x753 ?x754)) uf_9) :pat { (uf_259 ?x753 ?x754) }) -:assumption (forall (?x755 T3) (implies (= (uf_208 ?x755) uf_9) (= (uf_22 ?x755) uf_9)) :pat { (uf_208 ?x755) }) -:assumption (forall (?x756 T3) (implies (= (uf_141 ?x756) uf_9) (= (uf_22 ?x756) uf_9)) :pat { (uf_141 ?x756) }) -:assumption (forall (?x757 T3) (implies (= (uf_260 ?x757) uf_9) (= (uf_22 ?x757) uf_9)) :pat { (uf_260 ?x757) }) -:assumption (forall (?x758 T3) (iff (= (uf_208 ?x758) uf_9) (= (uf_14 ?x758) uf_261)) :pat { (uf_208 ?x758) }) -:assumption (forall (?x759 T3) (iff (= (uf_141 ?x759) uf_9) (= (uf_14 ?x759) uf_262)) :pat { (uf_141 ?x759) }) -:assumption (forall (?x760 T3) (iff (= (uf_260 ?x760) uf_9) (= (uf_14 ?x760) uf_263)) :pat { (uf_260 ?x760) }) -:assumption (forall (?x761 T3) (iff (= (uf_23 ?x761) uf_9) (= (uf_14 ?x761) uf_16)) :pat { (uf_23 ?x761) }) -:assumption (forall (?x762 T3) (?x763 T3) (= (uf_142 (uf_259 ?x762 ?x763)) (+ (uf_142 ?x762) 23)) :pat { (uf_259 ?x762 ?x763) }) -:assumption (forall (?x764 T3) (= (uf_142 (uf_6 ?x764)) (+ (uf_142 ?x764) 17)) :pat { (uf_6 ?x764) }) -:assumption (forall (?x765 T3) (?x766 T3) (= (uf_264 (uf_259 ?x765 ?x766)) ?x765) :pat { (uf_259 ?x765 ?x766) }) -:assumption (forall (?x767 T3) (?x768 T3) (= (uf_265 (uf_259 ?x767 ?x768)) ?x768) :pat { (uf_259 ?x767 ?x768) }) -:assumption (forall (?x769 T3) (= (uf_138 (uf_6 ?x769)) 8) :pat { (uf_6 ?x769) }) -:assumption (forall (?x770 T3) (= (uf_266 (uf_6 ?x770)) ?x770) :pat { (uf_6 ?x770) }) -:assumption (= (uf_260 uf_267) uf_9) -:assumption (= (uf_260 uf_37) uf_9) -:assumption (= (uf_142 uf_268) 0) -:assumption (= (uf_142 uf_256) 0) -:assumption (= (uf_142 uf_252) 0) -:assumption (= (uf_142 uf_219) 0) -:assumption (= (uf_142 uf_267) 0) -:assumption (= (uf_142 uf_37) 0) -:assumption (= (uf_142 uf_240) 0) -:assumption (= (uf_142 uf_258) 0) -:assumption (= (uf_142 uf_257) 0) -:assumption (= (uf_142 uf_254) 0) -:assumption (= (uf_142 uf_255) 0) -:assumption (= (uf_142 uf_84) 0) -:assumption (= (uf_142 uf_4) 0) -:assumption (= (uf_142 uf_91) 0) -:assumption (= (uf_142 uf_7) 0) -:assumption (= (uf_142 uf_83) 0) -:assumption (= (uf_142 uf_87) 0) -:assumption (= (uf_142 uf_90) 0) -:assumption (= (uf_142 uf_94) 0) -:assumption (= (uf_138 uf_219) 1) -:assumption (= (uf_138 uf_252) 1) -:assumption (= (uf_138 uf_254) 8) -:assumption (= (uf_138 uf_255) 4) -:assumption (= (uf_138 uf_84) 8) -:assumption (= (uf_138 uf_4) 4) -:assumption (= (uf_138 uf_91) 2) -:assumption (= (uf_138 uf_7) 1) -:assumption (= (uf_138 uf_83) 8) -:assumption (= (uf_138 uf_87) 4) -:assumption (= (uf_138 uf_90) 2) -:assumption (= (uf_138 uf_94) 1) -:assumption (not (implies true (implies (and (<= uf_269 uf_78) (<= 0 uf_269)) (implies (and (<= uf_270 uf_76) (<= 0 uf_270)) (implies (and (<= uf_271 uf_76) (<= 0 uf_271)) (implies (< uf_272 1099511627776) (implies (< 0 uf_272) (implies (and (= (uf_22 (uf_124 uf_7 uf_272)) uf_9) (and (not (= (uf_14 (uf_124 uf_7 uf_272)) uf_16)) (and (= (uf_27 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_9) (and (= (uf_48 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_124 uf_7 uf_272)) uf_9) (and (= (uf_25 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_26) (= (uf_24 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_9)))))) (implies true (implies (= (uf_203 uf_273) uf_9) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_275 uf_273) uf_9)) (implies (forall (?x771 T19) (< (uf_276 ?x771) uf_277) :pat { (uf_276 ?x771) }) (implies (and (up_278 uf_273 uf_275 uf_279 (uf_43 uf_7 uf_274) (uf_6 uf_7)) (up_280 uf_273 uf_275 uf_279 (uf_29 (uf_43 uf_7 uf_274)) (uf_6 uf_7))) (implies (up_280 uf_273 uf_275 uf_281 uf_272 uf_4) (implies (= uf_282 (uf_171 uf_273)) (implies (forall (?x772 T5) (iff (= (uf_283 uf_282 ?x772) uf_9) false) :pat { (uf_283 uf_282 ?x772) }) (implies (and (<= uf_272 uf_76) (<= 0 uf_272)) (and (implies (= (uf_200 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) uf_284) uf_9) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)) (implies (= uf_285 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7))) (implies (up_280 uf_273 uf_286 uf_287 uf_285 uf_7) (implies (up_280 uf_273 uf_288 uf_289 0 uf_4) (implies (up_280 uf_273 uf_290 uf_291 1 uf_4) (implies (and (<= 0 0) (and (<= 0 0) (and (<= 1 1) (<= 1 1)))) (and (implies (<= 1 uf_272) (and (implies (forall (?x773 Int) (implies (and (<= ?x773 uf_76) (<= 0 ?x773)) (implies (< ?x773 1) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x773 uf_7)) uf_285)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_285) (< 0 uf_272)) (implies true (implies (and (<= uf_292 uf_78) (<= 0 uf_292)) (implies (and (<= uf_293 uf_76) (<= 0 uf_293)) (implies (and (<= uf_294 uf_76) (<= 0 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= uf_294 uf_272) (implies (forall (?x774 Int) (implies (and (<= ?x774 uf_76) (<= 0 ?x774)) (implies (< ?x774 uf_294) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x774 uf_7)) uf_292)))) (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_293 uf_7)) uf_292) (< uf_293 uf_272)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (= (uf_177 uf_273 uf_273) uf_9) (and (forall (?x775 T5) (<= (uf_170 uf_273 ?x775) (uf_170 uf_273 ?x775)) :pat { (uf_170 uf_273 ?x775) }) (and (<= (uf_171 uf_273) (uf_171 uf_273)) (and (forall (?x776 T5) (implies (= (uf_67 uf_273 ?x776) uf_9) (and (= (uf_67 uf_273 ?x776) uf_9) (= (uf_58 (uf_59 uf_273) ?x776) (uf_58 (uf_59 uf_273) ?x776)))) :pat { (uf_58 (uf_59 uf_273) ?x776) }) (and (forall (?x777 T5) (implies (= (uf_67 uf_273 ?x777) uf_9) (and (= (uf_67 uf_273 ?x777) uf_9) (= (uf_40 (uf_41 uf_273) ?x777) (uf_40 (uf_41 uf_273) ?x777)))) :pat { (uf_40 (uf_41 uf_273) ?x777) }) (and (forall (?x778 T5) (implies (= (uf_67 uf_273 ?x778) uf_9) (and (= (uf_67 uf_273 ?x778) uf_9) (= (uf_19 (uf_20 uf_273) ?x778) (uf_19 (uf_20 uf_273) ?x778)))) :pat { (uf_19 (uf_20 uf_273) ?x778) }) (forall (?x779 T5) (implies (not (= (uf_14 (uf_15 (uf_25 uf_273 ?x779))) uf_261)) (not (= (uf_14 (uf_15 (uf_25 uf_273 ?x779))) uf_261))) :pat { (uf_40 (uf_41 uf_273) ?x779) }))))))) (implies (and (= (uf_177 uf_273 uf_273) uf_9) (and (forall (?x780 T5) (<= (uf_170 uf_273 ?x780) (uf_170 uf_273 ?x780)) :pat { (uf_170 uf_273 ?x780) }) (<= (uf_171 uf_273) (uf_171 uf_273)))) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_295 uf_273) uf_9)) (implies (up_280 uf_273 uf_295 uf_291 uf_294 uf_4) (implies (up_280 uf_273 uf_295 uf_289 uf_293 uf_4) (implies (up_280 uf_273 uf_295 uf_287 uf_292 uf_7) (implies (up_280 uf_273 uf_295 uf_281 uf_272 uf_4) (implies (and (up_278 uf_273 uf_295 uf_279 (uf_43 uf_7 uf_274) (uf_6 uf_7)) (up_280 uf_273 uf_295 uf_279 (uf_29 (uf_43 uf_7 uf_274)) (uf_6 uf_7))) (implies (and (= (uf_41 uf_273) (uf_41 uf_273)) (= (uf_59 uf_273) (uf_59 uf_273))) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= uf_272 uf_294) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies up_216 (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_296 uf_292) (implies (= uf_297 uf_294) (implies (= uf_298 uf_293) (implies (= uf_299 uf_292) (implies true (and (implies (forall (?x781 Int) (implies (and (<= ?x781 uf_76) (<= 0 ?x781)) (implies (< ?x781 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x781 uf_7)) uf_299)))) (and (implies (exists (?x782 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x782 uf_7)) uf_299) (and (< ?x782 uf_272) (and (<= ?x782 uf_76) (<= 0 ?x782))))) true) (exists (?x783 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x783 uf_7)) uf_299) (and (< ?x783 uf_272) (and (<= ?x783 uf_76) (<= 0 ?x783))))))) (forall (?x784 Int) (implies (and (<= ?x784 uf_76) (<= 0 ?x784)) (implies (< ?x784 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x784 uf_7)) uf_299)))))))))))))))) up_216)))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (< uf_294 uf_272) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_292) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_300 uf_292) (implies (= uf_301 uf_293) (implies true (implies (and (<= 0 uf_301) (<= 1 uf_294)) (and (implies (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1))) (implies (= uf_302 (+ uf_294 1)) (implies (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) (implies (and (<= 0 uf_301) (<= 2 uf_302)) (implies true (and (implies (<= uf_302 uf_272) (and (implies (forall (?x785 Int) (implies (and (<= ?x785 uf_76) (<= 0 ?x785)) (implies (< ?x785 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x785 uf_7)) uf_300)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)) (implies false true)) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)))) (forall (?x786 Int) (implies (and (<= ?x786 uf_76) (<= 0 ?x786)) (implies (< ?x786 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x786 uf_7)) uf_300)))))) (<= uf_302 uf_272))))))) (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1)))))))))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (< uf_292 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7))) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (implies (= uf_304 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7))) (implies (up_280 uf_273 uf_305 uf_287 uf_304 uf_7) (implies (up_280 uf_273 uf_306 uf_289 uf_294 uf_4) (implies (and (<= 1 uf_294) (<= 1 uf_294)) (implies true (implies (= uf_300 uf_304) (implies (= uf_301 uf_294) (implies true (implies (and (<= 0 uf_301) (<= 1 uf_294)) (and (implies (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1))) (implies (= uf_302 (+ uf_294 1)) (implies (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) (implies (and (<= 0 uf_301) (<= 2 uf_302)) (implies true (and (implies (<= uf_302 uf_272) (and (implies (forall (?x787 Int) (implies (and (<= ?x787 uf_76) (<= 0 ?x787)) (implies (< ?x787 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x787 uf_7)) uf_300)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)) (implies false true)) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)))) (forall (?x788 Int) (implies (and (<= ?x788 uf_76) (<= 0 ?x788)) (implies (< ?x788 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x788 uf_7)) uf_300)))))) (<= uf_302 uf_272))))))) (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1)))))))))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))))))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))))))))))))))))))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (not true) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_295 uf_273) uf_9)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies up_216 (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_296 uf_292) (implies (= uf_297 uf_294) (implies (= uf_298 uf_293) (implies (= uf_299 uf_292) (implies true (and (implies (forall (?x789 Int) (implies (and (<= ?x789 uf_76) (<= 0 ?x789)) (implies (< ?x789 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x789 uf_7)) uf_299)))) (and (implies (exists (?x790 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x790 uf_7)) uf_299) (and (< ?x790 uf_272) (and (<= ?x790 uf_76) (<= 0 ?x790))))) true) (exists (?x791 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x791 uf_7)) uf_299) (and (< ?x791 uf_272) (and (<= ?x791 uf_76) (<= 0 ?x791))))))) (forall (?x792 Int) (implies (and (<= ?x792 uf_76) (<= 0 ?x792)) (implies (< ?x792 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x792 uf_7)) uf_299)))))))))))))))) up_216)))))))))))))))))))))) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_285) (< 0 uf_272)))) (forall (?x793 Int) (implies (and (<= ?x793 uf_76) (<= 0 ?x793)) (implies (< ?x793 1) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x793 uf_7)) uf_285)))))) (<= 1 uf_272)))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)))) (= (uf_200 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) uf_284) uf_9))))))))))))))))))) -:formula true -) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/VCC_b_maximum.proof --- a/src/HOL/Boogie/Examples/cert/VCC_b_maximum.proof Thu Nov 05 14:41:37 2009 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,8070 +0,0 @@ -#2 := false -#121 := 0::int -decl uf_110 :: (-> T4 T5 int) -decl uf_66 :: (-> T5 int T3 T5) -decl uf_7 :: T3 -#10 := uf_7 -decl ?x785!14 :: int -#19054 := ?x785!14 -decl uf_43 :: (-> T3 int T5) -decl uf_274 :: int -#2959 := uf_274 -#2960 := (uf_43 uf_7 uf_274) -#19059 := (uf_66 #2960 ?x785!14 uf_7) -decl uf_273 :: T4 -#2958 := uf_273 -#19060 := (uf_110 uf_273 #19059) -#4076 := -1::int -#19385 := (* -1::int #19060) -decl uf_300 :: int -#3186 := uf_300 -#19386 := (+ uf_300 #19385) -#19387 := (>= #19386 0::int) -#23584 := (not #19387) -#19372 := (* -1::int ?x785!14) -decl uf_302 :: int -#3196 := uf_302 -#19373 := (+ uf_302 #19372) -#19374 := (<= #19373 0::int) -#19056 := (>= ?x785!14 0::int) -#22816 := (not #19056) -#7878 := 131073::int -#19055 := (<= ?x785!14 131073::int) -#22815 := (not #19055) -#22831 := (or #22815 #22816 #19374 #19387) -#22836 := (not #22831) -#161 := (:var 0 int) -#3039 := (uf_66 #2960 #161 uf_7) -#23745 := (pattern #3039) -#15606 := (<= #161 131073::int) -#20064 := (not #15606) -#14120 := (* -1::int uf_300) -#3040 := (uf_110 uf_273 #3039) -#14121 := (+ #3040 #14120) -#14122 := (<= #14121 0::int) -#14101 := (* -1::int uf_302) -#14110 := (+ #161 #14101) -#14109 := (>= #14110 0::int) -#4084 := (>= #161 0::int) -#5113 := (not #4084) -#22797 := (or #5113 #14109 #14122 #20064) -#23762 := (forall (vars (?x785 int)) (:pat #23745) #22797) -#23767 := (not #23762) -decl uf_301 :: int -#3188 := uf_301 -#14142 := (* -1::int uf_301) -decl uf_272 :: int -#2949 := uf_272 -#14143 := (+ uf_272 #14142) -#14144 := (<= #14143 0::int) -#3208 := (uf_66 #2960 uf_301 uf_7) -#3209 := (uf_110 uf_273 #3208) -#12862 := (= uf_300 #3209) -#22782 := (not #12862) -#22783 := (or #22782 #14144) -#22784 := (not #22783) -#23770 := (or #22784 #23767) -#14145 := (not #14144) -decl uf_294 :: int -#3055 := uf_294 -#14044 := (* -1::int uf_294) -#14045 := (+ uf_272 #14044) -#14046 := (<= #14045 0::int) -#14049 := (not #14046) -decl uf_125 :: (-> T5 T5 int) -decl uf_28 :: (-> int T5) -decl uf_29 :: (-> T5 int) -#2992 := (uf_29 #2960) -#23223 := (uf_28 #2992) -decl uf_15 :: (-> T5 T3) -#26404 := (uf_15 #23223) -decl uf_293 :: int -#3051 := uf_293 -#26963 := (uf_66 #23223 uf_293 #26404) -#26964 := (uf_125 #26963 #23223) -#27037 := (>= #26964 0::int) -#13947 := (>= uf_293 0::int) -decl ?x781!15 :: int -#19190 := ?x781!15 -#19195 := (uf_66 #2960 ?x781!15 uf_7) -#19196 := (uf_110 uf_273 #19195) -#19541 := (* -1::int #19196) -decl uf_299 :: int -#3138 := uf_299 -#19542 := (+ uf_299 #19541) -#19543 := (>= #19542 0::int) -#19528 := (* -1::int ?x781!15) -#19529 := (+ uf_272 #19528) -#19530 := (<= #19529 0::int) -#19192 := (>= ?x781!15 0::int) -#22993 := (not #19192) -#19191 := (<= ?x781!15 131073::int) -#22992 := (not #19191) -#23008 := (or #22992 #22993 #19530 #19543) -#23013 := (not #23008) -#13873 := (* -1::int uf_272) -#13960 := (+ #161 #13873) -#13959 := (>= #13960 0::int) -#3145 := (= #3040 uf_299) -#22966 := (not #3145) -#22967 := (or #22966 #5113 #13959 #20064) -#23886 := (forall (vars (?x782 int)) (:pat #23745) #22967) -#23891 := (not #23886) -#13970 := (* -1::int uf_299) -#13971 := (+ #3040 #13970) -#13972 := (<= #13971 0::int) -#22958 := (or #5113 #13959 #13972 #20064) -#23878 := (forall (vars (?x781 int)) (:pat #23745) #22958) -#23883 := (not #23878) -#23894 := (or #23883 #23891) -#23897 := (not #23894) -#23900 := (or #23897 #23013) -#23903 := (not #23900) -#4 := 1::int -#13950 := (>= uf_294 1::int) -#14243 := (not #13950) -#22873 := (not #13947) -decl uf_292 :: int -#3047 := uf_292 -#12576 := (= uf_292 uf_299) -#12644 := (not #12576) -decl uf_298 :: int -#3136 := uf_298 -#12573 := (= uf_293 uf_298) -#12653 := (not #12573) -decl uf_297 :: int -#3134 := uf_297 -#12570 := (= uf_294 uf_297) -#12662 := (not #12570) -decl uf_296 :: int -#3132 := uf_296 -#12567 := (= uf_292 uf_296) -#12671 := (not #12567) -#23906 := (or #12671 #12662 #12653 #12644 #22873 #14243 #14049 #23903) -#23909 := (not #23906) -#23773 := (not #23770) -#23776 := (or #23773 #22836) -#23779 := (not #23776) -#14102 := (+ uf_272 #14101) -#14100 := (>= #14102 0::int) -#14105 := (not #14100) -#23782 := (or #14105 #23779) -#23785 := (not #23782) -#23788 := (or #14105 #23785) -#23791 := (not #23788) -#1066 := 131072::int -#16368 := (<= uf_294 131072::int) -#19037 := (not #16368) -#14169 := (+ uf_294 #14101) -#14168 := (= #14169 -1::int) -#14172 := (not #14168) -#1120 := 2::int -#14092 := (>= uf_302 2::int) -#22859 := (not #14092) -#14088 := (>= uf_294 -1::int) -#19034 := (not #14088) -#14076 := (>= uf_301 0::int) -#22858 := (not #14076) -decl up_280 :: (-> T4 T1 T1 int T3 bool) -decl uf_4 :: T3 -#7 := uf_4 -decl uf_291 :: T1 -#3030 := uf_291 -decl uf_303 :: T1 -#3198 := uf_303 -#3199 := (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) -#12942 := (not #3199) -#23794 := (or #12942 #22858 #19034 #22859 #14172 #19037 #23791) -#23797 := (not #23794) -#23800 := (or #19034 #19037 #23797) -#23803 := (not #23800) -#13075 := (= uf_294 uf_301) -#13081 := (not #13075) -decl uf_304 :: int -#3239 := uf_304 -#3175 := (uf_66 #2960 uf_294 uf_7) -#3184 := (uf_110 uf_273 #3175) -#13070 := (= #3184 uf_304) -#13133 := (not #13070) -decl uf_67 :: (-> T4 T5 T2) -#3181 := (uf_67 uf_273 #3175) -decl uf_9 :: T2 -#19 := uf_9 -#12812 := (= uf_9 #3181) -#19017 := (not #12812) -decl uf_48 :: (-> T5 T3 T2) -#3178 := (uf_48 #3175 uf_7) -#12806 := (= uf_9 #3178) -#19011 := (not #12806) -#3246 := (= uf_300 uf_304) -#13090 := (not #3246) -decl uf_289 :: T1 -#3027 := uf_289 -decl uf_306 :: T1 -#3243 := uf_306 -#3244 := (up_280 uf_273 uf_306 uf_289 uf_294 uf_4) -#13115 := (not #3244) -decl uf_287 :: T1 -#3024 := uf_287 -decl uf_305 :: T1 -#3241 := uf_305 -#3242 := (up_280 uf_273 uf_305 uf_287 uf_304 uf_7) -#13124 := (not #3242) -#23812 := (or #13124 #13115 #13090 #19011 #19017 #13133 #13081 #14243 #22858 #23803) -#23815 := (not #23812) -#23818 := (or #19011 #19017 #23815) -#23821 := (not #23818) -decl uf_27 :: (-> T4 T5 T2) -#3176 := (uf_27 uf_273 #3175) -#12803 := (= uf_9 #3176) -#19008 := (not #12803) -#23824 := (or #19008 #19011 #23821) -#23827 := (not #23824) -#23830 := (or #19008 #19011 #23827) -#23833 := (not #23830) -#14208 := (* -1::int #3184) -#14209 := (+ uf_292 #14208) -#14207 := (>= #14209 0::int) -#23836 := (or #22873 #14243 #14207 #23833) -#23839 := (not #23836) -#14211 := (not #14207) -#12826 := (= uf_293 uf_301) -#12993 := (not #12826) -#12823 := (= uf_292 uf_300) -#13002 := (not #12823) -#23806 := (or #13002 #12993 #22873 #14243 #22858 #14211 #23803) -#23809 := (not #23806) -#23842 := (or #23809 #23839) -#23845 := (not #23842) -#23848 := (or #19011 #19017 #22873 #14243 #23845) -#23851 := (not #23848) -#23854 := (or #19011 #19017 #23851) -#23857 := (not #23854) -#23860 := (or #19008 #19011 #23857) -#23863 := (not #23860) -#23866 := (or #19008 #19011 #23863) -#23869 := (not #23866) -#23872 := (or #22873 #14243 #14046 #23869) -#23875 := (not #23872) -#23912 := (or #23875 #23909) -#23915 := (not #23912) -#14431 := (* -1::int uf_292) -#14432 := (+ #3040 #14431) -#14433 := (<= #14432 0::int) -#14421 := (+ #161 #14044) -#14420 := (>= #14421 0::int) -#22774 := (or #5113 #14420 #14433 #20064) -#23754 := (forall (vars (?x774 int)) (:pat #23745) #22774) -#23759 := (not #23754) -#1322 := 255::int -#16349 := (<= uf_292 255::int) -#23043 := (not #16349) -#16332 := (<= uf_293 131073::int) -#23042 := (not #16332) -#16310 := (<= uf_294 131073::int) -#23041 := (not #16310) -#14490 := (>= uf_292 0::int) -#23039 := (not #14490) -#14462 := (>= uf_294 0::int) -#23038 := (not #14462) -#14453 := (>= #14045 0::int) -#14456 := (not #14453) -#14402 := (* -1::int uf_293) -#14403 := (+ uf_272 #14402) -#14404 := (<= #14403 0::int) -#13942 := (<= uf_272 0::int) -decl uf_202 :: (-> T1 T4 T2) -decl uf_295 :: T1 -#3117 := uf_295 -#3118 := (uf_202 uf_295 uf_273) -#12553 := (= uf_9 #3118) -#15709 := (not #12553) -decl uf_177 :: (-> T4 T4 T2) -#3072 := (uf_177 uf_273 uf_273) -#12437 := (= uf_9 #3072) -#14399 := (not #12437) -#3067 := (uf_66 #2960 uf_293 uf_7) -#3068 := (uf_110 uf_273 #3067) -#12426 := (= uf_292 #3068) -#23037 := (not #12426) -decl uf_6 :: (-> T3 T3) -#11 := (uf_6 uf_7) -decl uf_279 :: T1 -#2990 := uf_279 -#3126 := (up_280 uf_273 uf_295 uf_279 #2992 #11) -#23036 := (not #3126) -decl up_278 :: (-> T4 T1 T1 T5 T3 bool) -#3125 := (up_278 uf_273 uf_295 uf_279 #2960 #11) -#23035 := (not #3125) -decl uf_281 :: T1 -#2995 := uf_281 -#3124 := (up_280 uf_273 uf_295 uf_281 uf_272 uf_4) -#13340 := (not #3124) -#3123 := (up_280 uf_273 uf_295 uf_287 uf_292 uf_7) -#13349 := (not #3123) -#3122 := (up_280 uf_273 uf_295 uf_289 uf_293 uf_4) -#13358 := (not #3122) -#3121 := (up_280 uf_273 uf_295 uf_291 uf_294 uf_4) -#13367 := (not #3121) -#3011 := (uf_66 #2960 0::int uf_7) -#3021 := (uf_110 uf_273 #3011) -decl uf_285 :: int -#3020 := uf_285 -#3022 := (= uf_285 #3021) -#13672 := (not #3022) -#23918 := (or #13672 #13367 #13358 #13349 #13340 #23035 #23036 #23037 #14399 #15709 #13942 #22873 #14243 #14404 #14456 #23038 #23039 #23041 #23042 #23043 #23759 #23915) -#23921 := (not #23918) -#23924 := (or #13672 #13942 #23921) -#23927 := (not #23924) -#13922 := (* -1::int #3040) -#13923 := (+ uf_285 #13922) -#13921 := (>= #13923 0::int) -#13910 := (>= #161 1::int) -#22763 := (or #5113 #13910 #13921 #20064) -#23746 := (forall (vars (?x773 int)) (:pat #23745) #22763) -#23751 := (not #23746) -#23930 := (or #23751 #23927) -#23933 := (not #23930) -decl ?x773!13 :: int -#18929 := ?x773!13 -#18939 := (>= ?x773!13 1::int) -#18934 := (uf_66 #2960 ?x773!13 uf_7) -#18935 := (uf_110 uf_273 #18934) -#18936 := (* -1::int #18935) -#18937 := (+ uf_285 #18936) -#18938 := (>= #18937 0::int) -#18931 := (>= ?x773!13 0::int) -#22737 := (not #18931) -#18930 := (<= ?x773!13 131073::int) -#22736 := (not #18930) -#22752 := (or #22736 #22737 #18938 #18939) -#22757 := (not #22752) -#23936 := (or #22757 #23933) -#23939 := (not #23936) -#13903 := (>= uf_272 1::int) -#13906 := (not #13903) -#23942 := (or #13906 #23939) -#23945 := (not #23942) -#23948 := (or #13906 #23945) -#23951 := (not #23948) -#3017 := (uf_67 uf_273 #3011) -#12367 := (= uf_9 #3017) -#18906 := (not #12367) -#3014 := (uf_48 #3011 uf_7) -#12361 := (= uf_9 #3014) -#18900 := (not #12361) -decl uf_290 :: T1 -#3029 := uf_290 -#3031 := (up_280 uf_273 uf_290 uf_291 1::int uf_4) -#13645 := (not #3031) -decl uf_288 :: T1 -#3026 := uf_288 -#3028 := (up_280 uf_273 uf_288 uf_289 0::int uf_4) -#13654 := (not #3028) -decl uf_286 :: T1 -#3023 := uf_286 -#3025 := (up_280 uf_273 uf_286 uf_287 uf_285 uf_7) -#13663 := (not #3025) -#23954 := (or #13672 #13663 #13654 #13645 #18900 #18906 #23951) -#23957 := (not #23954) -#23960 := (or #18900 #18906 #23957) -#23963 := (not #23960) -#3012 := (uf_27 uf_273 #3011) -#12358 := (= uf_9 #3012) -#18897 := (not #12358) -#23966 := (or #18897 #18900 #23963) -#23969 := (not #23966) -#23972 := (or #18897 #18900 #23969) -#23975 := (not #23972) -decl uf_200 :: (-> T4 T5 T5 T16 T2) -decl uf_284 :: T16 -#3008 := uf_284 -decl uf_116 :: (-> T5 int) -#2961 := (uf_116 #2960) -decl uf_124 :: (-> T3 int T3) -#2952 := (uf_124 uf_7 uf_272) -#2962 := (uf_43 #2952 #2961) -#3009 := (uf_200 uf_273 #2962 #2962 uf_284) -#12355 := (= uf_9 #3009) -#13715 := (not #12355) -#23978 := (or #13715 #23975) -#23981 := (not #23978) -decl uf_14 :: (-> T3 T8) -#24016 := (uf_116 #2962) -#25404 := (uf_43 #2952 #24016) -#25815 := (uf_15 #25404) -#26092 := (uf_14 #25815) -decl uf_16 :: T8 -#35 := uf_16 -#26095 := (= uf_16 #26092) -#26297 := (not #26095) -#2955 := (uf_14 #2952) -#12296 := (= uf_16 #2955) -#12299 := (not #12296) -#26298 := (iff #12299 #26297) -#26293 := (iff #12296 #26095) -#26342 := (iff #26095 #12296) -#26340 := (= #26092 #2955) -#26338 := (= #25815 #2952) -#24234 := (uf_15 #2962) -#28358 := (= #24234 #2952) -#24237 := (= #2952 #24234) -#326 := (:var 1 T3) -#2692 := (uf_43 #326 #161) -#23682 := (pattern #2692) -#2696 := (uf_15 #2692) -#11677 := (= #326 #2696) -#23689 := (forall (vars (?x720 T3) (?x721 int)) (:pat #23682) #11677) -#11681 := (forall (vars (?x720 T3) (?x721 int)) #11677) -#23692 := (iff #11681 #23689) -#23690 := (iff #11677 #11677) -#23691 := [refl]: #23690 -#23693 := [quant-intro #23691]: #23692 -#18759 := (~ #11681 #11681) -#18757 := (~ #11677 #11677) -#18758 := [refl]: #18757 -#18760 := [nnf-pos #18758]: #18759 -#2697 := (= #2696 #326) -#2698 := (forall (vars (?x720 T3) (?x721 int)) #2697) -#11682 := (iff #2698 #11681) -#11679 := (iff #2697 #11677) -#11680 := [rewrite]: #11679 -#11683 := [quant-intro #11680]: #11682 -#11676 := [asserted]: #2698 -#11686 := [mp #11676 #11683]: #11681 -#18761 := [mp~ #11686 #18760]: #11681 -#23694 := [mp #18761 #23693]: #23689 -#24181 := (not #23689) -#24242 := (or #24181 #24237) -#24243 := [quant-inst]: #24242 -#28006 := [unit-resolution #24243 #23694]: #24237 -#28359 := [symm #28006]: #28358 -#26336 := (= #25815 #24234) -#27940 := (= #25404 #2962) -#25411 := (= #2962 #25404) -#2965 := (uf_48 #2962 #2952) -#12305 := (= uf_9 #2965) -decl uf_24 :: (-> T4 T5 T2) -#2969 := (uf_24 uf_273 #2962) -#12311 := (= uf_9 #2969) -decl uf_25 :: (-> T4 T5 T5) -#2967 := (uf_25 uf_273 #2962) -decl uf_26 :: T5 -#78 := uf_26 -#12308 := (= uf_26 #2967) -#2963 := (uf_27 uf_273 #2962) -#12302 := (= uf_9 #2963) -decl uf_22 :: (-> T3 T2) -#2953 := (uf_22 #2952) -#12293 := (= uf_9 #2953) -#14658 := (and #12293 #12299 #12302 #12305 #12308 #12311) -decl uf_269 :: int -#2937 := uf_269 -#14715 := (>= uf_269 0::int) -#14711 := (* -1::int uf_269) -decl uf_78 :: int -#429 := uf_78 -#14712 := (+ uf_78 #14711) -#14710 := (>= #14712 0::int) -#14718 := (and #14710 #14715) -#14721 := (not #14718) -decl uf_270 :: int -#2941 := uf_270 -#14701 := (>= uf_270 0::int) -#14697 := (* -1::int uf_270) -decl uf_76 :: int -#409 := uf_76 -#14698 := (+ uf_76 #14697) -#14696 := (>= #14698 0::int) -#14704 := (and #14696 #14701) -#14707 := (not #14704) -decl uf_271 :: int -#2945 := uf_271 -#14687 := (>= uf_271 0::int) -#14683 := (* -1::int uf_271) -#14684 := (+ uf_76 #14683) -#14682 := (>= #14684 0::int) -#14690 := (and #14682 #14687) -#14693 := (not #14690) -#974 := 1099511627776::int -#14671 := (>= uf_272 1099511627776::int) -#14661 := (not #14658) -decl uf_276 :: (-> T19 int) -#2984 := (:var 0 T19) -#2985 := (uf_276 #2984) -#2986 := (pattern #2985) -decl uf_277 :: int -#2987 := uf_277 -#14648 := (* -1::int uf_277) -#14649 := (+ #2985 #14648) -#14647 := (>= #14649 0::int) -#14646 := (not #14647) -#14652 := (forall (vars (?x771 T19)) (:pat #2986) #14646) -#14655 := (not #14652) -#13943 := (not #13942) -#14502 := (and #3022 #13943) -#14507 := (not #14502) -#14487 := (+ uf_78 #14431) -#14486 := (>= #14487 0::int) -#14493 := (and #14486 #14490) -#14496 := (not #14493) -#14472 := (+ uf_76 #14402) -#14471 := (>= #14472 0::int) -#14478 := (and #13947 #14471) -#14483 := (not #14478) -#14085 := (+ uf_76 #14044) -#14459 := (>= #14085 0::int) -#14465 := (and #14459 #14462) -#14468 := (not #14465) -#4413 := (* -1::int uf_76) -#4418 := (+ #161 #4413) -#4419 := (<= #4418 0::int) -#5736 := (and #4084 #4419) -#5739 := (not #5736) -#14442 := (or #5739 #14420 #14433) -#14447 := (forall (vars (?x774 int)) #14442) -#14450 := (not #14447) -#14405 := (not #14404) -#14411 := (and #12426 #14405) -#14416 := (not #14411) -#14084 := (>= #14085 1::int) -#14175 := (and #14084 #14088) -#14178 := (not #14175) -#14151 := (and #12862 #14145) -#14131 := (or #5739 #14109 #14122) -#14136 := (forall (vars (?x785 int)) #14131) -#14139 := (not #14136) -#14156 := (or #14139 #14151) -#14159 := (and #14136 #14156) -#14162 := (or #14105 #14159) -#14165 := (and #14100 #14162) -#14094 := (and #14076 #14092) -#14097 := (not #14094) -#14193 := (or #12942 #14097 #14165 #14172 #14178) -#14201 := (and #14084 #14088 #14193) -#14078 := (and #13950 #14076) -#14081 := (not #14078) -#12818 := (and #12806 #12812) -#13142 := (not #12818) -#14267 := (or #13124 #13115 #13090 #13142 #13133 #13081 #14243 #14081 #14201) -#14275 := (and #12806 #12812 #14267) -#12809 := (and #12803 #12806) -#13159 := (not #12809) -#14280 := (or #13159 #14275) -#14286 := (and #12803 #12806 #14280) -#13952 := (and #13947 #13950) -#13955 := (not #13952) -#14312 := (or #13955 #14207 #14286) -#14238 := (or #13002 #12993 #13955 #14081 #14201 #14211) -#14317 := (and #14238 #14312) -#14326 := (or #13142 #13955 #14317) -#14334 := (and #12806 #12812 #14326) -#14339 := (or #13159 #14334) -#14345 := (and #12803 #12806 #14339) -#14371 := (or #13955 #14046 #14345) -#13958 := (not #13959) -#13998 := (and #3145 #4084 #4419 #13958) -#14003 := (exists (vars (?x782 int)) #13998) -#13981 := (or #5739 #13959 #13972) -#13986 := (forall (vars (?x781 int)) #13981) -#13989 := (not #13986) -#14006 := (or #13989 #14003) -#14009 := (and #13986 #14006) -decl up_216 :: bool -#2477 := up_216 -#12719 := (not up_216) -#14036 := (or #12719 #12671 #12662 #12653 #12644 #13955 #14009) -#14041 := (and up_216 #14036) -#14070 := (or #13955 #14041 #14049) -#14376 := (and #14070 #14371) -decl uf_55 :: (-> T4 T2) -#2978 := (uf_55 uf_273) -#12332 := (= uf_9 #2978) -#12556 := (and #12332 #12553) -#13376 := (not #12556) -#3127 := (and #3125 #3126) -#13331 := (not #3127) -#14573 := (or #13367 #13358 #13349 #13340 #13331 #14399 #13376 #13955 #14376 #14416 #14450 #14456 #14468 #14483 #14496 #14507) -#14581 := (and #3022 #13943 #14573) -#13931 := (or #5739 #13910 #13921) -#13936 := (forall (vars (?x773 int)) #13931) -#13939 := (not #13936) -#14586 := (or #13939 #14581) -#14589 := (and #13936 #14586) -#14592 := (or #13906 #14589) -#14595 := (and #13903 #14592) -#12373 := (and #12361 #12367) -#13681 := (not #12373) -#14616 := (or #13672 #13663 #13654 #13645 #13681 #14595) -#14624 := (and #12361 #12367 #14616) -#12364 := (and #12358 #12361) -#13698 := (not #12364) -#14629 := (or #13698 #14624) -#14635 := (and #12358 #12361 #14629) -#14640 := (or #13715 #14635) -#14643 := (and #12355 #14640) -#13877 := (>= uf_272 0::int) -#13874 := (+ uf_76 #13873) -#13872 := (>= #13874 0::int) -#13880 := (and #13872 #13877) -#13883 := (not #13880) -decl uf_283 :: (-> int T5 T2) -#26 := (:var 0 T5) -decl uf_282 :: int -#2997 := uf_282 -#3000 := (uf_283 uf_282 #26) -#3001 := (pattern #3000) -#12341 := (= uf_9 #3000) -#12347 := (not #12341) -#12352 := (forall (vars (?x772 T5)) (:pat #3001) #12347) -#13741 := (not #12352) -decl uf_275 :: T1 -#2980 := uf_275 -#2981 := (uf_202 uf_275 uf_273) -#12335 := (= uf_9 #2981) -#12338 := (and #12332 #12335) -#13786 := (not #12338) -decl uf_203 :: (-> T4 T2) -#2976 := (uf_203 uf_273) -#12329 := (= uf_9 #2976) -#13795 := (not #12329) -decl uf_171 :: (-> T4 int) -#2998 := (uf_171 uf_273) -#2999 := (= uf_282 #2998) -#13750 := (not #2999) -#2996 := (up_280 uf_273 uf_275 uf_281 uf_272 uf_4) -#13759 := (not #2996) -#2993 := (up_280 uf_273 uf_275 uf_279 #2992 #11) -#2991 := (up_278 uf_273 uf_275 uf_279 #2960 #11) -#2994 := (and #2991 #2993) -#13768 := (not #2994) -#14766 := (or #13768 #13759 #13750 #13795 #13786 #13741 #13883 #13942 #14643 #14655 #14661 #14671 #14693 #14707 #14721) -#14771 := (not #14766) -#3010 := (= #3009 uf_9) -#3015 := (= #3014 uf_9) -#3013 := (= #3012 uf_9) -#3016 := (and #3013 #3015) -#3018 := (= #3017 uf_9) -#3019 := (and #3018 #3015) -#3037 := (<= 1::int uf_272) -#3041 := (<= #3040 uf_285) -#3038 := (< #161 1::int) -#3042 := (implies #3038 #3041) -#285 := (<= 0::int #161) -#410 := (<= #161 uf_76) -#645 := (and #410 #285) -#3043 := (implies #645 #3042) -#3044 := (forall (vars (?x773 int)) #3043) -#2951 := (< 0::int uf_272) -#3045 := (= #3021 uf_285) -#3046 := (and #3045 #2951) -#3141 := (<= #3040 uf_299) -#3140 := (< #161 uf_272) -#3142 := (implies #3140 #3141) -#3143 := (implies #645 #3142) -#3144 := (forall (vars (?x781 int)) #3143) -#3146 := (and #3140 #645) -#3147 := (and #3145 #3146) -#3148 := (exists (vars (?x782 int)) #3147) -#1 := true -#3149 := (implies #3148 true) -#3150 := (and #3149 #3148) -#3151 := (implies #3144 #3150) -#3152 := (and #3151 #3144) -#3153 := (implies true #3152) -#3139 := (= uf_299 uf_292) -#3154 := (implies #3139 #3153) -#3137 := (= uf_298 uf_293) -#3155 := (implies #3137 #3154) -#3135 := (= uf_297 uf_294) -#3156 := (implies #3135 #3155) -#3133 := (= uf_296 uf_292) -#3157 := (implies #3133 #3156) -#3158 := (implies true #3157) -#3059 := (<= 1::int uf_294) -#3053 := (<= 0::int uf_293) -#3060 := (and #3053 #3059) -#3159 := (implies #3060 #3158) -#3160 := (implies #3060 #3159) -#3161 := (implies true #3160) -#3162 := (implies #3060 #3161) -#3163 := (implies up_216 #3162) -#3164 := (and #3163 up_216) -#3165 := (implies #3060 #3164) -#3166 := (implies true #3165) -#3167 := (implies #3060 #3166) -#3119 := (= #3118 uf_9) -#2979 := (= #2978 uf_9) -#3120 := (and #2979 #3119) -#3295 := (implies #3120 #3167) -#3296 := (implies #3060 #3295) -#3297 := (implies true #3296) -#3298 := (implies #3060 #3297) -#3294 := (not true) -#3299 := (implies #3294 #3298) -#3300 := (implies #3060 #3299) -#3301 := (implies true #3300) -#3179 := (= #3178 uf_9) -#3177 := (= #3176 uf_9) -#3180 := (and #3177 #3179) -#3182 := (= #3181 uf_9) -#3183 := (and #3182 #3179) -#3192 := (+ uf_294 1::int) -#3194 := (<= 0::int #3192) -#3193 := (<= #3192 uf_76) -#3195 := (and #3193 #3194) -#3202 := (<= uf_302 uf_272) -#3204 := (<= #3040 uf_300) -#3203 := (< #161 uf_302) -#3205 := (implies #3203 #3204) -#3206 := (implies #645 #3205) -#3207 := (forall (vars (?x785 int)) #3206) -#3211 := (< uf_301 uf_272) -#3210 := (= #3209 uf_300) -#3212 := (and #3210 #3211) -#3213 := (implies false true) -#3214 := (implies #3212 #3213) -#3215 := (and #3214 #3212) -#3216 := (implies #3207 #3215) -#3217 := (and #3216 #3207) -#3218 := (implies #3202 #3217) -#3219 := (and #3218 #3202) -#3220 := (implies true #3219) -#3200 := (<= 2::int uf_302) -#3190 := (<= 0::int uf_301) -#3201 := (and #3190 #3200) -#3221 := (implies #3201 #3220) -#3222 := (implies #3199 #3221) -#3197 := (= uf_302 #3192) -#3223 := (implies #3197 #3222) -#3224 := (implies #3195 #3223) -#3225 := (and #3224 #3195) -#3191 := (and #3190 #3059) -#3226 := (implies #3191 #3225) -#3227 := (implies true #3226) -#3247 := (= uf_301 uf_294) -#3248 := (implies #3247 #3227) -#3249 := (implies #3246 #3248) -#3250 := (implies true #3249) -#3245 := (and #3059 #3059) -#3251 := (implies #3245 #3250) -#3252 := (implies #3244 #3251) -#3253 := (implies #3242 #3252) -#3240 := (= uf_304 #3184) -#3254 := (implies #3240 #3253) -#3255 := (implies #3183 #3254) -#3256 := (and #3255 #3183) -#3257 := (implies #3180 #3256) -#3258 := (and #3257 #3180) -#3259 := (implies #3060 #3258) -#3260 := (implies true #3259) -#3261 := (implies #3060 #3260) -#3238 := (< uf_292 #3184) -#3262 := (implies #3238 #3261) -#3263 := (implies #3060 #3262) -#3264 := (implies true #3263) -#3189 := (= uf_301 uf_293) -#3228 := (implies #3189 #3227) -#3187 := (= uf_300 uf_292) -#3229 := (implies #3187 #3228) -#3230 := (implies true #3229) -#3231 := (implies #3060 #3230) -#3232 := (implies #3060 #3231) -#3233 := (implies true #3232) -#3234 := (implies #3060 #3233) -#3185 := (<= #3184 uf_292) -#3235 := (implies #3185 #3234) -#3236 := (implies #3060 #3235) -#3237 := (implies true #3236) -#3265 := (and #3237 #3264) -#3266 := (implies #3060 #3265) -#3267 := (implies #3183 #3266) -#3268 := (and #3267 #3183) -#3269 := (implies #3180 #3268) -#3270 := (and #3269 #3180) -#3271 := (implies #3060 #3270) -#3272 := (implies true #3271) -#3273 := (implies #3060 #3272) -#3174 := (< uf_294 uf_272) -#3274 := (implies #3174 #3273) -#3275 := (implies #3060 #3274) -#3276 := (implies true #3275) -#3168 := (implies #3060 #3167) -#3169 := (implies true #3168) -#3170 := (implies #3060 #3169) -#3131 := (<= uf_272 uf_294) -#3171 := (implies #3131 #3170) -#3172 := (implies #3060 #3171) -#3173 := (implies true #3172) -#3277 := (and #3173 #3276) -#3278 := (implies #3060 #3277) -decl uf_59 :: (-> T4 T13) -#3079 := (uf_59 uf_273) -#3129 := (= #3079 #3079) -decl uf_41 :: (-> T4 T12) -#3088 := (uf_41 uf_273) -#3128 := (= #3088 #3088) -#3130 := (and #3128 #3129) -#3279 := (implies #3130 #3278) -#3280 := (implies #3127 #3279) -#3281 := (implies #3124 #3280) -#3282 := (implies #3123 #3281) -#3283 := (implies #3122 #3282) -#3284 := (implies #3121 #3283) -#3285 := (implies #3120 #3284) -#3078 := (<= #2998 #2998) -decl uf_170 :: (-> T4 T5 int) -#3074 := (uf_170 uf_273 #26) -#3075 := (pattern #3074) -#3076 := (<= #3074 #3074) -#3077 := (forall (vars (?x775 T5)) (:pat #3075) #3076) -#3115 := (and #3077 #3078) -#3073 := (= #3072 uf_9) -#3116 := (and #3073 #3115) -#3286 := (implies #3116 #3285) -decl uf_40 :: (-> T12 T5 T11) -#3089 := (uf_40 #3088 #26) -#3090 := (pattern #3089) -decl uf_261 :: T8 -#2832 := uf_261 -#3102 := (uf_25 uf_273 #26) -#3103 := (uf_15 #3102) -#3104 := (uf_14 #3103) -#3105 := (= #3104 uf_261) -#3106 := (not #3105) -#3107 := (implies #3106 #3106) -#3108 := (forall (vars (?x779 T5)) (:pat #3090) #3107) -decl uf_19 :: (-> T9 T5 int) -decl uf_20 :: (-> T4 T9) -#3095 := (uf_20 uf_273) -#3096 := (uf_19 #3095 #26) -#3097 := (pattern #3096) -#3098 := (= #3096 #3096) -#3082 := (uf_67 uf_273 #26) -#3083 := (= #3082 uf_9) -#3099 := (and #3083 #3098) -#3100 := (implies #3083 #3099) -#3101 := (forall (vars (?x778 T5)) (:pat #3097) #3100) -#3109 := (and #3101 #3108) -#3091 := (= #3089 #3089) -#3092 := (and #3083 #3091) -#3093 := (implies #3083 #3092) -#3094 := (forall (vars (?x777 T5)) (:pat #3090) #3093) -#3110 := (and #3094 #3109) -decl uf_58 :: (-> T13 T5 T14) -#3080 := (uf_58 #3079 #26) -#3081 := (pattern #3080) -#3084 := (= #3080 #3080) -#3085 := (and #3083 #3084) -#3086 := (implies #3083 #3085) -#3087 := (forall (vars (?x776 T5)) (:pat #3081) #3086) -#3111 := (and #3087 #3110) -#3112 := (and #3078 #3111) -#3113 := (and #3077 #3112) -#3114 := (and #3073 #3113) -#3287 := (implies #3114 #3286) -#3288 := (implies #3060 #3287) -#3289 := (implies true #3288) -#3290 := (implies #3060 #3289) -#3291 := (implies true #3290) -#3292 := (implies #3060 #3291) -#3293 := (implies true #3292) -#3302 := (and #3293 #3301) -#3303 := (implies #3060 #3302) -#3070 := (< uf_293 uf_272) -#3069 := (= #3068 uf_292) -#3071 := (and #3069 #3070) -#3304 := (implies #3071 #3303) -#3063 := (<= #3040 uf_292) -#3062 := (< #161 uf_294) -#3064 := (implies #3062 #3063) -#3065 := (implies #645 #3064) -#3066 := (forall (vars (?x774 int)) #3065) -#3305 := (implies #3066 #3304) -#3061 := (<= uf_294 uf_272) -#3306 := (implies #3061 #3305) -#3307 := (implies #3060 #3306) -#3057 := (<= 0::int uf_294) -#3056 := (<= uf_294 uf_76) -#3058 := (and #3056 #3057) -#3308 := (implies #3058 #3307) -#3052 := (<= uf_293 uf_76) -#3054 := (and #3052 #3053) -#3309 := (implies #3054 #3308) -#3049 := (<= 0::int uf_292) -#3048 := (<= uf_292 uf_78) -#3050 := (and #3048 #3049) -#3310 := (implies #3050 #3309) -#3311 := (implies true #3310) -#3312 := (implies #3046 #3311) -#3313 := (and #3312 #3046) -#3314 := (implies #3044 #3313) -#3315 := (and #3314 #3044) -#3316 := (implies #3037 #3315) -#3317 := (and #3316 #3037) -#3033 := (<= 1::int 1::int) -#3034 := (and #3033 #3033) -#3032 := (<= 0::int 0::int) -#3035 := (and #3032 #3034) -#3036 := (and #3032 #3035) -#3318 := (implies #3036 #3317) -#3319 := (implies #3031 #3318) -#3320 := (implies #3028 #3319) -#3321 := (implies #3025 #3320) -#3322 := (implies #3022 #3321) -#3323 := (implies #3019 #3322) -#3324 := (and #3323 #3019) -#3325 := (implies #3016 #3324) -#3326 := (and #3325 #3016) -#3327 := (implies #3010 #3326) -#3328 := (and #3327 #3010) -#3006 := (<= 0::int uf_272) -#3005 := (<= uf_272 uf_76) -#3007 := (and #3005 #3006) -#3329 := (implies #3007 #3328) -#3002 := (= #3000 uf_9) -#3003 := (iff #3002 false) -#3004 := (forall (vars (?x772 T5)) (:pat #3001) #3003) -#3330 := (implies #3004 #3329) -#3331 := (implies #2999 #3330) -#3332 := (implies #2996 #3331) -#3333 := (implies #2994 #3332) -#2988 := (< #2985 uf_277) -#2989 := (forall (vars (?x771 T19)) (:pat #2986) #2988) -#3334 := (implies #2989 #3333) -#2982 := (= #2981 uf_9) -#2983 := (and #2979 #2982) -#3335 := (implies #2983 #3334) -#2977 := (= #2976 uf_9) -#3336 := (implies #2977 #3335) -#3337 := (implies true #3336) -#2970 := (= #2969 uf_9) -#2968 := (= #2967 uf_26) -#2971 := (and #2968 #2970) -#2966 := (= #2965 uf_9) -#2972 := (and #2966 #2971) -#2964 := (= #2963 uf_9) -#2973 := (and #2964 #2972) -#2956 := (= #2955 uf_16) -#2957 := (not #2956) -#2974 := (and #2957 #2973) -#2954 := (= #2953 uf_9) -#2975 := (and #2954 #2974) -#3338 := (implies #2975 #3337) -#3339 := (implies #2951 #3338) -#2950 := (< uf_272 1099511627776::int) -#3340 := (implies #2950 #3339) -#2947 := (<= 0::int uf_271) -#2946 := (<= uf_271 uf_76) -#2948 := (and #2946 #2947) -#3341 := (implies #2948 #3340) -#2943 := (<= 0::int uf_270) -#2942 := (<= uf_270 uf_76) -#2944 := (and #2942 #2943) -#3342 := (implies #2944 #3341) -#2939 := (<= 0::int uf_269) -#2938 := (<= uf_269 uf_78) -#2940 := (and #2938 #2939) -#3343 := (implies #2940 #3342) -#3344 := (implies true #3343) -#3345 := (not #3344) -#14774 := (iff #3345 #14771) -#12868 := (and #3211 #12862) -#12847 := (not #3203) -#12848 := (or #12847 #3204) -#5718 := (and #285 #410) -#5727 := (not #5718) -#12854 := (or #5727 #12848) -#12859 := (forall (vars (?x785 int)) #12854) -#12892 := (not #12859) -#12893 := (or #12892 #12868) -#12901 := (and #12859 #12893) -#12909 := (not #3202) -#12910 := (or #12909 #12901) -#12918 := (and #3202 #12910) -#12933 := (not #3201) -#12934 := (or #12933 #12918) -#12943 := (or #12942 #12934) -#12832 := (+ 1::int uf_294) -#12844 := (= uf_302 #12832) -#12951 := (not #12844) -#12952 := (or #12951 #12943) -#12838 := (<= 0::int #12832) -#12835 := (<= #12832 uf_76) -#12841 := (and #12835 #12838) -#12960 := (not #12841) -#12961 := (or #12960 #12952) -#12969 := (and #12841 #12961) -#12829 := (and #3059 #3190) -#12977 := (not #12829) -#12978 := (or #12977 #12969) -#13082 := (or #12978 #13081) -#13091 := (or #13090 #13082) -#13106 := (not #3059) -#13107 := (or #13106 #13091) -#13116 := (or #13115 #13107) -#13125 := (or #13124 #13116) -#13134 := (or #13133 #13125) -#13143 := (or #13142 #13134) -#13151 := (and #12818 #13143) -#13160 := (or #13159 #13151) -#13168 := (and #12809 #13160) -#12687 := (not #3060) -#13176 := (or #12687 #13168) -#13191 := (or #12687 #13176) -#13199 := (not #3238) -#13200 := (or #13199 #13191) -#13208 := (or #12687 #13200) -#12994 := (or #12993 #12978) -#13003 := (or #13002 #12994) -#13018 := (or #12687 #13003) -#13026 := (or #12687 #13018) -#13041 := (or #12687 #13026) -#13049 := (not #3185) -#13050 := (or #13049 #13041) -#13058 := (or #12687 #13050) -#13220 := (and #13058 #13208) -#13226 := (or #12687 #13220) -#13234 := (or #13142 #13226) -#13242 := (and #12818 #13234) -#13250 := (or #13159 #13242) -#13258 := (and #12809 #13250) -#13266 := (or #12687 #13258) -#13281 := (or #12687 #13266) -#13289 := (not #3174) -#13290 := (or #13289 #13281) -#13298 := (or #12687 #13290) -#12594 := (and #3140 #5718) -#12597 := (and #3145 #12594) -#12600 := (exists (vars (?x782 int)) #12597) -#12579 := (not #3140) -#12580 := (or #12579 #3141) -#12586 := (or #5727 #12580) -#12591 := (forall (vars (?x781 int)) #12586) -#12620 := (not #12591) -#12621 := (or #12620 #12600) -#12629 := (and #12591 #12621) -#12645 := (or #12644 #12629) -#12654 := (or #12653 #12645) -#12663 := (or #12662 #12654) -#12672 := (or #12671 #12663) -#12688 := (or #12687 #12672) -#12696 := (or #12687 #12688) -#12711 := (or #12687 #12696) -#12720 := (or #12719 #12711) -#12728 := (and up_216 #12720) -#12736 := (or #12687 #12728) -#12751 := (or #12687 #12736) -#12759 := (or #12687 #12751) -#12774 := (or #12687 #12759) -#12782 := (not #3131) -#12783 := (or #12782 #12774) -#12791 := (or #12687 #12783) -#13310 := (and #12791 #13298) -#13316 := (or #12687 #13310) -#13332 := (or #13331 #13316) -#13341 := (or #13340 #13332) -#13350 := (or #13349 #13341) -#13359 := (or #13358 #13350) -#13368 := (or #13367 #13359) -#13377 := (or #13376 #13368) -#12544 := (and #3115 #12437) -#13385 := (not #12544) -#13386 := (or #13385 #13377) -#13394 := (or #13385 #13386) -#13402 := (or #12687 #13394) -#13417 := (or #12687 #13402) -#13432 := (or #12687 #13417) -#13508 := (or #12687 #13432) -#12432 := (and #3070 #12426) -#13516 := (not #12432) -#13517 := (or #13516 #13508) -#12411 := (not #3062) -#12412 := (or #12411 #3063) -#12418 := (or #5727 #12412) -#12423 := (forall (vars (?x774 int)) #12418) -#13525 := (not #12423) -#13526 := (or #13525 #13517) -#13534 := (not #3061) -#13535 := (or #13534 #13526) -#13543 := (or #12687 #13535) -#13551 := (not #3058) -#13552 := (or #13551 #13543) -#13560 := (not #3054) -#13561 := (or #13560 #13552) -#13569 := (not #3050) -#13570 := (or #13569 #13561) -#12406 := (and #2951 #3022) -#13585 := (not #12406) -#13586 := (or #13585 #13570) -#13594 := (and #12406 #13586) -#12386 := (not #3038) -#12387 := (or #12386 #3041) -#12393 := (or #5727 #12387) -#12398 := (forall (vars (?x773 int)) #12393) -#13602 := (not #12398) -#13603 := (or #13602 #13594) -#13611 := (and #12398 #13603) -#13619 := (not #3037) -#13620 := (or #13619 #13611) -#13628 := (and #3037 #13620) -#12380 := (and #3032 #3033) -#12383 := (and #3032 #12380) -#13636 := (not #12383) -#13637 := (or #13636 #13628) -#13646 := (or #13645 #13637) -#13655 := (or #13654 #13646) -#13664 := (or #13663 #13655) -#13673 := (or #13672 #13664) -#13682 := (or #13681 #13673) -#13690 := (and #12373 #13682) -#13699 := (or #13698 #13690) -#13707 := (and #12364 #13699) -#13716 := (or #13715 #13707) -#13724 := (and #12355 #13716) -#13732 := (not #3007) -#13733 := (or #13732 #13724) -#13742 := (or #13741 #13733) -#13751 := (or #13750 #13742) -#13760 := (or #13759 #13751) -#13769 := (or #13768 #13760) -#13777 := (not #2989) -#13778 := (or #13777 #13769) -#13787 := (or #13786 #13778) -#13796 := (or #13795 #13787) -#12314 := (and #12308 #12311) -#12317 := (and #12305 #12314) -#12320 := (and #12302 #12317) -#12323 := (and #12299 #12320) -#12326 := (and #12293 #12323) -#13811 := (not #12326) -#13812 := (or #13811 #13796) -#13820 := (not #2951) -#13821 := (or #13820 #13812) -#13829 := (not #2950) -#13830 := (or #13829 #13821) -#13838 := (not #2948) -#13839 := (or #13838 #13830) -#13847 := (not #2944) 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(iff #13751 #14730) -#14728 := (iff #13742 #14727) -#14725 := (iff #13733 #14724) -#14644 := (iff #13724 #14643) -#14641 := (iff #13716 #14640) -#14638 := (iff #13707 #14635) -#14632 := (and #12364 #14629) -#14636 := (iff #14632 #14635) -#14637 := [rewrite]: #14636 -#14633 := (iff #13707 #14632) -#14630 := (iff #13699 #14629) -#14627 := (iff #13690 #14624) -#14621 := (and #12373 #14616) -#14625 := (iff #14621 #14624) -#14626 := [rewrite]: #14625 -#14622 := (iff #13690 #14621) -#14619 := (iff #13682 #14616) -#14598 := (or false #14595) -#14601 := (or #13645 #14598) -#14604 := (or #13654 #14601) -#14607 := (or #13663 #14604) -#14610 := (or #13672 #14607) -#14613 := (or #13681 #14610) -#14617 := (iff #14613 #14616) -#14618 := [rewrite]: #14617 -#14614 := (iff #13682 #14613) -#14611 := (iff #13673 #14610) -#14608 := (iff #13664 #14607) -#14605 := (iff #13655 #14604) -#14602 := (iff #13646 #14601) -#14599 := (iff #13637 #14598) -#14596 := (iff #13628 #14595) -#14593 := (iff #13620 #14592) -#14590 := (iff #13611 #14589) -#14587 := (iff #13603 #14586) -#14584 := (iff #13594 #14581) -#14499 := (and #13943 #3022) -#14578 := (and #14499 #14573) -#14582 := (iff #14578 #14581) -#14583 := [rewrite]: #14582 -#14579 := (iff #13594 #14578) -#14576 := (iff #13586 #14573) -#14510 := (or #13955 #14376) -#14513 := (or #13331 #14510) -#14516 := (or #13340 #14513) -#14519 := (or #13349 #14516) -#14522 := (or #13358 #14519) -#14525 := (or #13367 #14522) -#14528 := (or #13376 #14525) -#14531 := (or #14399 #14528) -#14534 := (or #14399 #14531) -#14537 := (or #13955 #14534) -#14540 := (or #13955 #14537) -#14543 := (or #13955 #14540) -#14546 := (or #13955 #14543) -#14549 := (or #14416 #14546) -#14552 := (or #14450 #14549) -#14555 := (or #14456 #14552) -#14558 := (or #13955 #14555) -#14561 := (or #14468 #14558) -#14564 := (or #14483 #14561) -#14567 := (or #14496 #14564) -#14570 := (or #14507 #14567) -#14574 := (iff #14570 #14573) -#14575 := [rewrite]: #14574 -#14571 := (iff #13586 #14570) 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(iff #13258 #14345) -#14342 := (and #12809 #14339) -#14346 := (iff #14342 #14345) -#14347 := [rewrite]: #14346 -#14343 := (iff #13258 #14342) -#14340 := (iff #13250 #14339) -#14337 := (iff #13242 #14334) -#14331 := (and #12818 #14326) -#14335 := (iff #14331 #14334) -#14336 := [rewrite]: #14335 -#14332 := (iff #13242 #14331) -#14329 := (iff #13234 #14326) -#14320 := (or #13955 #14317) -#14323 := (or #13142 #14320) -#14327 := (iff #14323 #14326) -#14328 := [rewrite]: #14327 -#14324 := (iff #13234 #14323) -#14321 := (iff #13226 #14320) -#14318 := (iff #13220 #14317) -#14315 := (iff #13208 #14312) -#14300 := (or #13955 #14286) -#14303 := (or #13955 #14300) -#14306 := (or #14207 #14303) -#14309 := (or #13955 #14306) -#14313 := (iff #14309 #14312) -#14314 := [rewrite]: #14313 -#14310 := (iff #13208 #14309) -#14307 := (iff #13200 #14306) -#14304 := (iff #13191 #14303) -#14301 := (iff #13176 #14300) -#14289 := (iff #13168 #14286) -#14283 := (and #12809 #14280) -#14287 := (iff #14283 #14286) 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#14193) -#14181 := (or #14097 #14165) -#14184 := (or #12942 #14181) -#14187 := (or #14172 #14184) -#14190 := (or #14178 #14187) -#14194 := (iff #14190 #14193) -#14195 := [rewrite]: #14194 -#14191 := (iff #12961 #14190) -#14188 := (iff #12952 #14187) -#14185 := (iff #12943 #14184) -#14182 := (iff #12934 #14181) -#14166 := (iff #12918 #14165) -#14163 := (iff #12910 #14162) -#14160 := (iff #12901 #14159) -#14157 := (iff #12893 #14156) -#14154 := (iff #12868 #14151) -#14148 := (and #14145 #12862) -#14152 := (iff #14148 #14151) -#14153 := [rewrite]: #14152 -#14149 := (iff #12868 #14148) -#14146 := (iff #3211 #14145) -#14147 := [rewrite]: #14146 -#14150 := [monotonicity #14147]: #14149 -#14155 := [trans #14150 #14153]: #14154 -#14140 := (iff #12892 #14139) -#14137 := (iff #12859 #14136) -#14134 := (iff #12854 #14131) -#14125 := (or #14109 #14122) -#14128 := (or #5739 #14125) -#14132 := (iff #14128 #14131) -#14133 := [rewrite]: #14132 -#14129 := (iff #12854 #14128) -#14126 := (iff #12848 #14125) -#14123 := (iff #3204 #14122) -#14124 := [rewrite]: #14123 -#14118 := (iff #12847 #14109) -#14108 := (not #14109) -#14113 := (not #14108) -#14116 := (iff #14113 #14109) -#14117 := [rewrite]: #14116 -#14114 := (iff #12847 #14113) -#14111 := (iff #3203 #14108) -#14112 := [rewrite]: #14111 -#14115 := [monotonicity #14112]: #14114 -#14119 := [trans #14115 #14117]: #14118 -#14127 := [monotonicity #14119 #14124]: #14126 -#5740 := (iff #5727 #5739) -#5737 := (iff #5718 #5736) -#4420 := (iff #410 #4419) -#4421 := [rewrite]: #4420 -#4083 := (iff #285 #4084) -#4085 := [rewrite]: #4083 -#5738 := [monotonicity #4085 #4421]: #5737 -#5741 := [monotonicity #5738]: #5740 -#14130 := [monotonicity #5741 #14127]: #14129 -#14135 := [trans #14130 #14133]: #14134 -#14138 := [quant-intro #14135]: #14137 -#14141 := [monotonicity #14138]: #14140 -#14158 := [monotonicity #14141 #14155]: #14157 -#14161 := [monotonicity #14138 #14158]: #14160 -#14106 := (iff #12909 #14105) -#14103 := (iff #3202 #14100) -#14104 := [rewrite]: #14103 -#14107 := [monotonicity #14104]: #14106 -#14164 := [monotonicity #14107 #14161]: #14163 -#14167 := [monotonicity #14104 #14164]: #14166 -#14098 := (iff #12933 #14097) -#14095 := (iff #3201 #14094) -#14091 := (iff #3200 #14092) -#14093 := [rewrite]: #14091 -#14075 := (iff #3190 #14076) -#14077 := [rewrite]: #14075 -#14096 := [monotonicity #14077 #14093]: #14095 -#14099 := [monotonicity #14096]: #14098 -#14183 := [monotonicity #14099 #14167]: #14182 -#14186 := [monotonicity #14183]: #14185 -#14173 := (iff #12951 #14172) -#14170 := (iff #12844 #14168) -#14171 := [rewrite]: #14170 -#14174 := [monotonicity #14171]: #14173 -#14189 := [monotonicity #14174 #14186]: #14188 -#14179 := (iff #12960 #14178) -#14176 := (iff #12841 #14175) -#14089 := (iff #12838 #14088) -#14090 := [rewrite]: #14089 -#14086 := (iff #12835 #14084) -#14087 := [rewrite]: #14086 -#14177 := [monotonicity #14087 #14090]: #14176 -#14180 := [monotonicity #14177]: #14179 -#14192 := [monotonicity #14180 #14189]: #14191 -#14197 := [trans #14192 #14195]: #14196 -#14200 := [monotonicity #14177 #14197]: #14199 -#14205 := [trans #14200 #14203]: #14204 -#14082 := (iff #12977 #14081) -#14079 := (iff #12829 #14078) -#13949 := (iff #3059 #13950) -#13951 := [rewrite]: #13949 -#14080 := [monotonicity #13951 #14077]: #14079 -#14083 := [monotonicity #14080]: #14082 -#14216 := [monotonicity #14083 #14205]: #14215 -#14248 := [monotonicity #14216]: #14247 -#14251 := [monotonicity #14248]: #14250 -#14244 := (iff #13106 #14243) -#14245 := [monotonicity #13951]: #14244 -#14254 := [monotonicity #14245 #14251]: #14253 -#14257 := [monotonicity #14254]: #14256 -#14260 := [monotonicity #14257]: #14259 -#14263 := [monotonicity #14260]: #14262 -#14266 := [monotonicity #14263]: #14265 -#14271 := [trans #14266 #14269]: #14270 -#14274 := [monotonicity #14271]: #14273 -#14279 := [trans #14274 #14277]: #14278 -#14282 := [monotonicity #14279]: #14281 -#14285 := [monotonicity #14282]: #14284 -#14290 := [trans #14285 #14288]: #14289 -#13956 := (iff #12687 #13955) -#13953 := (iff #3060 #13952) -#13946 := (iff #3053 #13947) -#13948 := [rewrite]: #13946 -#13954 := [monotonicity #13948 #13951]: #13953 -#13957 := [monotonicity #13954]: #13956 -#14302 := [monotonicity #13957 #14290]: #14301 -#14305 := [monotonicity #13957 #14302]: #14304 -#14298 := (iff #13199 #14207) -#14293 := (not #14211) -#14296 := (iff #14293 #14207) -#14297 := [rewrite]: #14296 -#14294 := (iff #13199 #14293) -#14291 := (iff #3238 #14211) -#14292 := [rewrite]: #14291 -#14295 := [monotonicity #14292]: #14294 -#14299 := [trans #14295 #14297]: #14298 -#14308 := [monotonicity #14299 #14305]: #14307 -#14311 := [monotonicity #13957 #14308]: #14310 -#14316 := [trans #14311 #14314]: #14315 -#14241 := (iff #13058 #14238) -#14217 := (or #12993 #14214) -#14220 := (or #13002 #14217) -#14223 := (or #13955 #14220) -#14226 := (or #13955 #14223) -#14229 := (or #13955 #14226) -#14232 := (or #14211 #14229) -#14235 := (or #13955 #14232) -#14239 := (iff #14235 #14238) -#14240 := [rewrite]: #14239 -#14236 := (iff #13058 #14235) -#14233 := (iff #13050 #14232) -#14230 := (iff #13041 #14229) -#14227 := (iff #13026 #14226) -#14224 := (iff #13018 #14223) -#14221 := (iff #13003 #14220) -#14218 := (iff #12994 #14217) -#14219 := [monotonicity #14216]: #14218 -#14222 := [monotonicity #14219]: #14221 -#14225 := [monotonicity #13957 #14222]: #14224 -#14228 := [monotonicity #13957 #14225]: #14227 -#14231 := [monotonicity #13957 #14228]: #14230 -#14212 := (iff #13049 #14211) -#14206 := (iff #3185 #14207) -#14210 := [rewrite]: #14206 -#14213 := [monotonicity #14210]: #14212 -#14234 := [monotonicity #14213 #14231]: #14233 -#14237 := [monotonicity #13957 #14234]: #14236 -#14242 := [trans #14237 #14240]: #14241 -#14319 := [monotonicity #14242 #14316]: #14318 -#14322 := [monotonicity #13957 #14319]: #14321 -#14325 := [monotonicity #14322]: #14324 -#14330 := [trans #14325 #14328]: #14329 -#14333 := [monotonicity #14330]: #14332 -#14338 := [trans #14333 #14336]: #14337 -#14341 := [monotonicity #14338]: #14340 -#14344 := [monotonicity #14341]: #14343 -#14349 := [trans #14344 #14347]: #14348 -#14361 := [monotonicity #13957 #14349]: #14360 -#14364 := [monotonicity #13957 #14361]: #14363 -#14357 := (iff #13289 #14046) -#14352 := (not #14049) -#14355 := (iff #14352 #14046) -#14356 := [rewrite]: #14355 -#14353 := (iff #13289 #14352) -#14350 := (iff #3174 #14049) -#14351 := [rewrite]: #14350 -#14354 := [monotonicity #14351]: #14353 -#14358 := [trans #14354 #14356]: #14357 -#14367 := [monotonicity #14358 #14364]: #14366 -#14370 := [monotonicity #13957 #14367]: #14369 -#14375 := [trans #14370 #14373]: #14374 -#14073 := (iff #12791 #14070) -#14052 := (or #13955 #14041) -#14055 := (or #13955 #14052) -#14058 := (or #13955 #14055) -#14061 := (or #13955 #14058) -#14064 := (or #14049 #14061) -#14067 := (or #13955 #14064) -#14071 := (iff #14067 #14070) -#14072 := [rewrite]: #14071 -#14068 := (iff #12791 #14067) -#14065 := (iff #12783 #14064) -#14062 := (iff #12774 #14061) -#14059 := (iff #12759 #14058) -#14056 := (iff #12751 #14055) -#14053 := (iff #12736 #14052) -#14042 := (iff #12728 #14041) -#14039 := (iff #12720 #14036) -#14012 := (or #12644 #14009) -#14015 := (or #12653 #14012) -#14018 := (or #12662 #14015) -#14021 := (or #12671 #14018) -#14024 := (or #13955 #14021) -#14027 := (or #13955 #14024) -#14030 := (or #13955 #14027) -#14033 := (or #12719 #14030) -#14037 := (iff #14033 #14036) -#14038 := [rewrite]: #14037 -#14034 := (iff #12720 #14033) -#14031 := (iff #12711 #14030) -#14028 := (iff #12696 #14027) -#14025 := (iff #12688 #14024) -#14022 := (iff #12672 #14021) -#14019 := (iff #12663 #14018) -#14016 := (iff #12654 #14015) -#14013 := (iff #12645 #14012) -#14010 := (iff #12629 #14009) -#14007 := (iff #12621 #14006) -#14004 := (iff #12600 #14003) -#14001 := (iff #12597 #13998) -#13992 := (and #13958 #5736) -#13995 := (and #3145 #13992) -#13999 := (iff #13995 #13998) -#14000 := [rewrite]: #13999 -#13996 := (iff #12597 #13995) -#13993 := (iff #12594 #13992) -#13961 := (iff #3140 #13958) -#13962 := [rewrite]: #13961 -#13994 := [monotonicity #13962 #5738]: #13993 -#13997 := [monotonicity #13994]: #13996 -#14002 := [trans #13997 #14000]: #14001 -#14005 := [quant-intro #14002]: #14004 -#13990 := (iff #12620 #13989) -#13987 := (iff #12591 #13986) -#13984 := (iff #12586 #13981) -#13975 := (or #13959 #13972) -#13978 := (or #5739 #13975) -#13982 := (iff #13978 #13981) -#13983 := [rewrite]: #13982 -#13979 := (iff #12586 #13978) -#13976 := (iff #12580 #13975) -#13973 := (iff #3141 #13972) -#13974 := [rewrite]: #13973 -#13968 := (iff #12579 #13959) -#13963 := (not #13958) -#13966 := (iff #13963 #13959) -#13967 := [rewrite]: #13966 -#13964 := (iff #12579 #13963) -#13965 := [monotonicity #13962]: #13964 -#13969 := [trans #13965 #13967]: #13968 -#13977 := [monotonicity #13969 #13974]: #13976 -#13980 := [monotonicity #5741 #13977]: #13979 -#13985 := [trans #13980 #13983]: #13984 -#13988 := [quant-intro #13985]: #13987 -#13991 := [monotonicity #13988]: #13990 -#14008 := [monotonicity #13991 #14005]: #14007 -#14011 := [monotonicity #13988 #14008]: #14010 -#14014 := [monotonicity #14011]: #14013 -#14017 := [monotonicity #14014]: #14016 -#14020 := [monotonicity #14017]: #14019 -#14023 := [monotonicity #14020]: #14022 -#14026 := [monotonicity #13957 #14023]: #14025 -#14029 := [monotonicity #13957 #14026]: #14028 -#14032 := [monotonicity #13957 #14029]: #14031 -#14035 := [monotonicity #14032]: #14034 -#14040 := [trans #14035 #14038]: #14039 -#14043 := [monotonicity #14040]: #14042 -#14054 := [monotonicity #13957 #14043]: #14053 -#14057 := [monotonicity #13957 #14054]: #14056 -#14060 := [monotonicity #13957 #14057]: #14059 -#14063 := [monotonicity #13957 #14060]: #14062 -#14050 := (iff #12782 #14049) -#14047 := (iff #3131 #14046) -#14048 := [rewrite]: #14047 -#14051 := [monotonicity #14048]: #14050 -#14066 := [monotonicity #14051 #14063]: #14065 -#14069 := [monotonicity #13957 #14066]: #14068 -#14074 := [trans #14069 #14072]: #14073 -#14378 := [monotonicity #14074 #14375]: #14377 -#14512 := [monotonicity #13957 #14378]: #14511 -#14515 := [monotonicity #14512]: #14514 -#14518 := [monotonicity #14515]: #14517 -#14521 := [monotonicity #14518]: #14520 -#14524 := [monotonicity #14521]: #14523 -#14527 := [monotonicity #14524]: #14526 -#14530 := [monotonicity #14527]: #14529 -#14400 := (iff #13385 #14399) -#14397 := (iff #12544 #12437) -#12517 := (and true true) -#14392 := (and #12517 #12437) -#14395 := (iff #14392 #12437) -#14396 := [rewrite]: #14395 -#14393 := (iff #12544 #14392) -#14390 := (iff #3115 #12517) -#14388 := (iff #3078 true) -#14389 := [rewrite]: #14388 -#14386 := (iff #3077 true) -#14381 := (forall (vars (?x775 T5)) (:pat #3075) true) -#14384 := (iff #14381 true) -#14385 := [elim-unused]: #14384 -#14382 := (iff #3077 #14381) -#14379 := (iff #3076 true) -#14380 := [rewrite]: #14379 -#14383 := [quant-intro #14380]: #14382 -#14387 := [trans #14383 #14385]: #14386 -#14391 := [monotonicity #14387 #14389]: #14390 -#14394 := [monotonicity #14391]: #14393 -#14398 := [trans #14394 #14396]: #14397 -#14401 := [monotonicity #14398]: #14400 -#14533 := [monotonicity #14401 #14530]: #14532 -#14536 := [monotonicity #14401 #14533]: #14535 -#14539 := [monotonicity #13957 #14536]: #14538 -#14542 := [monotonicity #13957 #14539]: #14541 -#14545 := [monotonicity #13957 #14542]: #14544 -#14548 := [monotonicity #13957 #14545]: #14547 -#14417 := (iff #13516 #14416) -#14414 := (iff #12432 #14411) -#14408 := (and #14405 #12426) -#14412 := (iff #14408 #14411) -#14413 := [rewrite]: #14412 -#14409 := (iff #12432 #14408) -#14406 := (iff #3070 #14405) -#14407 := [rewrite]: #14406 -#14410 := [monotonicity #14407]: #14409 -#14415 := [trans #14410 #14413]: #14414 -#14418 := [monotonicity #14415]: #14417 -#14551 := [monotonicity #14418 #14548]: #14550 -#14451 := (iff #13525 #14450) -#14448 := (iff #12423 #14447) -#14445 := (iff #12418 #14442) -#14436 := (or #14420 #14433) -#14439 := (or #5739 #14436) -#14443 := (iff #14439 #14442) -#14444 := [rewrite]: #14443 -#14440 := (iff #12418 #14439) -#14437 := (iff #12412 #14436) -#14434 := (iff #3063 #14433) -#14435 := [rewrite]: #14434 -#14429 := (iff #12411 #14420) -#14419 := (not #14420) -#14424 := (not #14419) -#14427 := (iff #14424 #14420) -#14428 := [rewrite]: #14427 -#14425 := (iff #12411 #14424) -#14422 := (iff #3062 #14419) -#14423 := [rewrite]: #14422 -#14426 := [monotonicity #14423]: #14425 -#14430 := [trans #14426 #14428]: #14429 -#14438 := [monotonicity #14430 #14435]: #14437 -#14441 := [monotonicity #5741 #14438]: #14440 -#14446 := [trans #14441 #14444]: #14445 -#14449 := [quant-intro #14446]: #14448 -#14452 := [monotonicity #14449]: #14451 -#14554 := [monotonicity #14452 #14551]: #14553 -#14457 := (iff #13534 #14456) -#14454 := (iff #3061 #14453) -#14455 := [rewrite]: #14454 -#14458 := [monotonicity #14455]: #14457 -#14557 := [monotonicity #14458 #14554]: #14556 -#14560 := [monotonicity #13957 #14557]: #14559 -#14469 := (iff #13551 #14468) -#14466 := (iff #3058 #14465) -#14463 := (iff #3057 #14462) -#14464 := [rewrite]: #14463 -#14460 := (iff #3056 #14459) -#14461 := [rewrite]: #14460 -#14467 := [monotonicity #14461 #14464]: #14466 -#14470 := [monotonicity #14467]: #14469 -#14563 := [monotonicity #14470 #14560]: #14562 -#14484 := (iff #13560 #14483) -#14481 := (iff #3054 #14478) -#14475 := (and #14471 #13947) -#14479 := (iff #14475 #14478) -#14480 := [rewrite]: #14479 -#14476 := (iff #3054 #14475) -#14473 := (iff #3052 #14471) -#14474 := [rewrite]: #14473 -#14477 := [monotonicity #14474 #13948]: #14476 -#14482 := [trans #14477 #14480]: #14481 -#14485 := [monotonicity #14482]: #14484 -#14566 := [monotonicity #14485 #14563]: #14565 -#14497 := (iff #13569 #14496) -#14494 := (iff #3050 #14493) -#14491 := (iff #3049 #14490) -#14492 := [rewrite]: #14491 -#14488 := (iff #3048 #14486) -#14489 := [rewrite]: #14488 -#14495 := [monotonicity #14489 #14492]: #14494 -#14498 := [monotonicity #14495]: #14497 -#14569 := [monotonicity #14498 #14566]: #14568 -#14508 := (iff #13585 #14507) -#14505 := (iff #12406 #14502) -#14503 := (iff #14499 #14502) -#14504 := [rewrite]: #14503 -#14500 := (iff #12406 #14499) -#13944 := (iff #2951 #13943) -#13945 := [rewrite]: #13944 -#14501 := [monotonicity #13945]: #14500 -#14506 := [trans #14501 #14504]: #14505 -#14509 := [monotonicity #14506]: #14508 -#14572 := [monotonicity #14509 #14569]: #14571 -#14577 := [trans #14572 #14575]: #14576 -#14580 := [monotonicity #14501 #14577]: #14579 -#14585 := [trans #14580 #14583]: #14584 -#13940 := (iff #13602 #13939) -#13937 := (iff #12398 #13936) -#13934 := (iff #12393 #13931) -#13925 := (or #13910 #13921) -#13928 := (or #5739 #13925) -#13932 := (iff #13928 #13931) -#13933 := [rewrite]: #13932 -#13929 := (iff #12393 #13928) -#13926 := (iff #12387 #13925) -#13920 := (iff #3041 #13921) -#13924 := [rewrite]: #13920 -#13918 := (iff #12386 #13910) -#13909 := (not #13910) -#13913 := (not #13909) -#13916 := (iff #13913 #13910) -#13917 := [rewrite]: #13916 -#13914 := (iff #12386 #13913) -#13911 := (iff #3038 #13909) -#13912 := [rewrite]: #13911 -#13915 := [monotonicity #13912]: #13914 -#13919 := [trans #13915 #13917]: #13918 -#13927 := [monotonicity #13919 #13924]: #13926 -#13930 := [monotonicity #5741 #13927]: #13929 -#13935 := [trans #13930 #13933]: #13934 -#13938 := [quant-intro #13935]: #13937 -#13941 := [monotonicity #13938]: #13940 -#14588 := [monotonicity #13941 #14585]: #14587 -#14591 := [monotonicity #13938 #14588]: #14590 -#13907 := (iff #13619 #13906) -#13904 := (iff #3037 #13903) -#13905 := [rewrite]: #13904 -#13908 := [monotonicity #13905]: #13907 -#14594 := [monotonicity #13908 #14591]: #14593 -#14597 := [monotonicity #13905 #14594]: #14596 -#13901 := (iff #13636 false) -#13444 := (iff #3294 false) -#13445 := [rewrite]: #13444 -#13899 := (iff #13636 #3294) -#13897 := (iff #12383 true) -#13892 := (and true #12517) -#13895 := (iff #13892 true) -#13896 := [rewrite]: #13895 -#13893 := (iff #12383 #13892) -#13890 := (iff #12380 #12517) -#13888 := (iff #3033 true) -#13889 := [rewrite]: #13888 -#13886 := (iff #3032 true) -#13887 := [rewrite]: #13886 -#13891 := [monotonicity #13887 #13889]: #13890 -#13894 := [monotonicity #13887 #13891]: #13893 -#13898 := [trans #13894 #13896]: #13897 -#13900 := [monotonicity #13898]: #13899 -#13902 := [trans #13900 #13445]: #13901 -#14600 := [monotonicity #13902 #14597]: #14599 -#14603 := [monotonicity #14600]: #14602 -#14606 := [monotonicity #14603]: #14605 -#14609 := [monotonicity #14606]: #14608 -#14612 := [monotonicity #14609]: #14611 -#14615 := [monotonicity #14612]: #14614 -#14620 := [trans #14615 #14618]: #14619 -#14623 := [monotonicity #14620]: #14622 -#14628 := [trans #14623 #14626]: #14627 -#14631 := [monotonicity #14628]: #14630 -#14634 := [monotonicity #14631]: #14633 -#14639 := [trans #14634 #14637]: #14638 -#14642 := [monotonicity #14639]: #14641 -#14645 := [monotonicity #14642]: #14644 -#13884 := (iff #13732 #13883) -#13881 := (iff #3007 #13880) -#13878 := (iff #3006 #13877) -#13879 := [rewrite]: #13878 -#13875 := (iff #3005 #13872) -#13876 := [rewrite]: #13875 -#13882 := [monotonicity #13876 #13879]: #13881 -#13885 := [monotonicity #13882]: #13884 -#14726 := [monotonicity #13885 #14645]: #14725 -#14729 := [monotonicity #14726]: #14728 -#14732 := [monotonicity #14729]: #14731 -#14735 := [monotonicity #14732]: #14734 -#14738 := [monotonicity #14735]: #14737 -#14656 := (iff #13777 #14655) -#14653 := (iff #2989 #14652) -#14650 := (iff #2988 #14646) -#14651 := [rewrite]: #14650 -#14654 := [quant-intro #14651]: #14653 -#14657 := [monotonicity #14654]: #14656 -#14741 := [monotonicity #14657 #14738]: #14740 -#14744 := [monotonicity #14741]: #14743 -#14747 := [monotonicity #14744]: #14746 -#14662 := (iff #13811 #14661) -#14659 := (iff #12326 #14658) -#14660 := [rewrite]: #14659 -#14663 := [monotonicity #14660]: #14662 -#14750 := [monotonicity #14663 #14747]: #14749 -#14669 := (iff #13820 #13942) -#14664 := (not #13943) -#14667 := (iff #14664 #13942) -#14668 := [rewrite]: #14667 -#14665 := (iff #13820 #14664) -#14666 := [monotonicity #13945]: #14665 -#14670 := [trans #14666 #14668]: #14669 -#14753 := [monotonicity #14670 #14750]: #14752 -#14680 := (iff #13829 #14671) -#14672 := (not #14671) -#14675 := (not #14672) -#14678 := (iff #14675 #14671) -#14679 := [rewrite]: #14678 -#14676 := (iff #13829 #14675) -#14673 := (iff #2950 #14672) -#14674 := [rewrite]: #14673 -#14677 := [monotonicity #14674]: #14676 -#14681 := [trans #14677 #14679]: #14680 -#14756 := [monotonicity #14681 #14753]: #14755 -#14694 := (iff #13838 #14693) -#14691 := (iff #2948 #14690) -#14688 := (iff #2947 #14687) -#14689 := [rewrite]: #14688 -#14685 := (iff #2946 #14682) -#14686 := [rewrite]: #14685 -#14692 := [monotonicity #14686 #14689]: #14691 -#14695 := [monotonicity #14692]: #14694 -#14759 := [monotonicity #14695 #14756]: #14758 -#14708 := (iff #13847 #14707) -#14705 := (iff #2944 #14704) -#14702 := (iff #2943 #14701) -#14703 := [rewrite]: #14702 -#14699 := (iff #2942 #14696) -#14700 := [rewrite]: #14699 -#14706 := [monotonicity #14700 #14703]: #14705 -#14709 := [monotonicity #14706]: #14708 -#14762 := [monotonicity #14709 #14759]: #14761 -#14722 := (iff #13856 #14721) -#14719 := (iff #2940 #14718) -#14716 := (iff #2939 #14715) -#14717 := [rewrite]: #14716 -#14713 := (iff #2938 #14710) -#14714 := [rewrite]: #14713 -#14720 := [monotonicity #14714 #14717]: #14719 -#14723 := [monotonicity #14720]: #14722 -#14765 := [monotonicity #14723 #14762]: #14764 -#14770 := [trans #14765 #14768]: #14769 -#14773 := [monotonicity #14770]: #14772 -#13870 := (iff #3345 #13869) -#13867 := (iff #3344 #13857) -#13862 := (implies true #13857) -#13865 := (iff #13862 #13857) -#13866 := [rewrite]: #13865 -#13863 := (iff #3344 #13862) -#13860 := (iff #3343 #13857) -#13853 := (implies #2940 #13848) -#13858 := (iff #13853 #13857) -#13859 := [rewrite]: #13858 -#13854 := (iff #3343 #13853) -#13851 := (iff #3342 #13848) -#13844 := (implies #2944 #13839) -#13849 := (iff #13844 #13848) -#13850 := [rewrite]: #13849 -#13845 := (iff #3342 #13844) -#13842 := (iff #3341 #13839) -#13835 := (implies #2948 #13830) -#13840 := (iff #13835 #13839) -#13841 := [rewrite]: #13840 -#13836 := (iff #3341 #13835) -#13833 := (iff #3340 #13830) -#13826 := (implies #2950 #13821) -#13831 := (iff #13826 #13830) -#13832 := [rewrite]: #13831 -#13827 := (iff #3340 #13826) -#13824 := (iff #3339 #13821) -#13817 := (implies #2951 #13812) -#13822 := (iff #13817 #13821) -#13823 := [rewrite]: #13822 -#13818 := (iff #3339 #13817) -#13815 := (iff #3338 #13812) -#13808 := (implies #12326 #13796) -#13813 := (iff #13808 #13812) -#13814 := [rewrite]: #13813 -#13809 := (iff #3338 #13808) -#13806 := (iff #3337 #13796) -#13801 := (implies true #13796) -#13804 := (iff #13801 #13796) -#13805 := [rewrite]: #13804 -#13802 := (iff #3337 #13801) -#13799 := (iff #3336 #13796) -#13792 := (implies #12329 #13787) -#13797 := (iff #13792 #13796) -#13798 := [rewrite]: #13797 -#13793 := (iff #3336 #13792) -#13790 := (iff #3335 #13787) -#13783 := (implies #12338 #13778) -#13788 := (iff #13783 #13787) -#13789 := [rewrite]: #13788 -#13784 := (iff #3335 #13783) -#13781 := (iff #3334 #13778) -#13774 := (implies #2989 #13769) -#13779 := (iff #13774 #13778) -#13780 := [rewrite]: #13779 -#13775 := (iff #3334 #13774) -#13772 := (iff #3333 #13769) -#13765 := (implies #2994 #13760) -#13770 := (iff #13765 #13769) -#13771 := [rewrite]: #13770 -#13766 := (iff #3333 #13765) -#13763 := (iff #3332 #13760) -#13756 := (implies #2996 #13751) -#13761 := (iff #13756 #13760) -#13762 := [rewrite]: #13761 -#13757 := (iff #3332 #13756) -#13754 := (iff #3331 #13751) -#13747 := (implies #2999 #13742) -#13752 := (iff #13747 #13751) -#13753 := [rewrite]: #13752 -#13748 := (iff #3331 #13747) -#13745 := (iff #3330 #13742) -#13738 := (implies #12352 #13733) -#13743 := (iff #13738 #13742) -#13744 := [rewrite]: #13743 -#13739 := (iff #3330 #13738) -#13736 := (iff #3329 #13733) -#13729 := (implies #3007 #13724) -#13734 := (iff #13729 #13733) -#13735 := [rewrite]: #13734 -#13730 := (iff #3329 #13729) -#13727 := (iff #3328 #13724) -#13721 := (and #13716 #12355) -#13725 := (iff #13721 #13724) -#13726 := [rewrite]: #13725 -#13722 := (iff #3328 #13721) -#12356 := (iff #3010 #12355) -#12357 := [rewrite]: #12356 -#13719 := (iff #3327 #13716) -#13712 := (implies #12355 #13707) -#13717 := (iff #13712 #13716) -#13718 := [rewrite]: #13717 -#13713 := (iff #3327 #13712) -#13710 := (iff #3326 #13707) -#13704 := (and #13699 #12364) -#13708 := (iff #13704 #13707) -#13709 := [rewrite]: #13708 -#13705 := (iff #3326 #13704) -#12365 := (iff #3016 #12364) -#12362 := (iff #3015 #12361) -#12363 := [rewrite]: #12362 -#12359 := (iff #3013 #12358) -#12360 := [rewrite]: #12359 -#12366 := [monotonicity #12360 #12363]: #12365 -#13702 := (iff #3325 #13699) -#13695 := (implies #12364 #13690) -#13700 := (iff #13695 #13699) -#13701 := [rewrite]: #13700 -#13696 := (iff #3325 #13695) -#13693 := (iff #3324 #13690) -#13687 := (and #13682 #12373) -#13691 := (iff #13687 #13690) -#13692 := [rewrite]: #13691 -#13688 := (iff #3324 #13687) -#12376 := (iff #3019 #12373) -#12370 := (and #12367 #12361) -#12374 := (iff #12370 #12373) -#12375 := [rewrite]: #12374 -#12371 := (iff #3019 #12370) -#12368 := (iff #3018 #12367) -#12369 := [rewrite]: #12368 -#12372 := [monotonicity #12369 #12363]: #12371 -#12377 := [trans #12372 #12375]: #12376 -#13685 := (iff #3323 #13682) -#13678 := (implies #12373 #13673) -#13683 := (iff #13678 #13682) -#13684 := [rewrite]: #13683 -#13679 := (iff #3323 #13678) -#13676 := (iff #3322 #13673) -#13669 := (implies #3022 #13664) -#13674 := (iff #13669 #13673) -#13675 := [rewrite]: #13674 -#13670 := (iff #3322 #13669) -#13667 := (iff #3321 #13664) -#13660 := (implies #3025 #13655) -#13665 := (iff #13660 #13664) -#13666 := [rewrite]: #13665 -#13661 := (iff #3321 #13660) -#13658 := (iff #3320 #13655) -#13651 := (implies #3028 #13646) -#13656 := (iff #13651 #13655) -#13657 := [rewrite]: #13656 -#13652 := (iff #3320 #13651) -#13649 := (iff #3319 #13646) -#13642 := (implies #3031 #13637) -#13647 := (iff #13642 #13646) -#13648 := [rewrite]: #13647 -#13643 := (iff #3319 #13642) -#13640 := (iff #3318 #13637) -#13633 := (implies #12383 #13628) -#13638 := (iff #13633 #13637) -#13639 := [rewrite]: #13638 -#13634 := (iff #3318 #13633) -#13631 := (iff #3317 #13628) -#13625 := (and #13620 #3037) -#13629 := (iff #13625 #13628) -#13630 := [rewrite]: #13629 -#13626 := (iff #3317 #13625) -#13623 := (iff #3316 #13620) -#13616 := (implies #3037 #13611) -#13621 := (iff #13616 #13620) -#13622 := [rewrite]: #13621 -#13617 := (iff #3316 #13616) -#13614 := (iff #3315 #13611) -#13608 := (and #13603 #12398) -#13612 := (iff #13608 #13611) -#13613 := [rewrite]: #13612 -#13609 := (iff #3315 #13608) -#12399 := (iff #3044 #12398) -#12396 := (iff #3043 #12393) -#12390 := (implies #5718 #12387) -#12394 := (iff #12390 #12393) -#12395 := [rewrite]: #12394 -#12391 := (iff #3043 #12390) -#12388 := (iff #3042 #12387) -#12389 := [rewrite]: #12388 -#5719 := (iff #645 #5718) -#5720 := [rewrite]: #5719 -#12392 := [monotonicity #5720 #12389]: #12391 -#12397 := [trans #12392 #12395]: #12396 -#12400 := [quant-intro #12397]: #12399 -#13606 := (iff #3314 #13603) -#13599 := (implies #12398 #13594) -#13604 := (iff #13599 #13603) -#13605 := [rewrite]: #13604 -#13600 := (iff #3314 #13599) -#13597 := (iff #3313 #13594) -#13591 := (and #13586 #12406) -#13595 := (iff #13591 #13594) -#13596 := [rewrite]: #13595 -#13592 := (iff #3313 #13591) -#12409 := (iff #3046 #12406) -#12403 := (and #3022 #2951) -#12407 := (iff #12403 #12406) -#12408 := [rewrite]: #12407 -#12404 := (iff #3046 #12403) -#12401 := (iff #3045 #3022) -#12402 := [rewrite]: #12401 -#12405 := [monotonicity #12402]: #12404 -#12410 := [trans #12405 #12408]: #12409 -#13589 := (iff #3312 #13586) -#13582 := (implies #12406 #13570) -#13587 := (iff #13582 #13586) -#13588 := [rewrite]: #13587 -#13583 := (iff #3312 #13582) -#13580 := (iff #3311 #13570) -#13575 := (implies true #13570) -#13578 := (iff #13575 #13570) -#13579 := [rewrite]: #13578 -#13576 := (iff #3311 #13575) -#13573 := (iff #3310 #13570) -#13566 := (implies #3050 #13561) -#13571 := (iff #13566 #13570) -#13572 := [rewrite]: #13571 -#13567 := (iff #3310 #13566) -#13564 := (iff #3309 #13561) -#13557 := (implies #3054 #13552) -#13562 := (iff #13557 #13561) -#13563 := [rewrite]: #13562 -#13558 := (iff #3309 #13557) -#13555 := (iff #3308 #13552) -#13548 := (implies #3058 #13543) -#13553 := (iff #13548 #13552) -#13554 := [rewrite]: #13553 -#13549 := (iff #3308 #13548) -#13546 := (iff #3307 #13543) -#13540 := (implies #3060 #13535) -#13544 := (iff #13540 #13543) -#13545 := [rewrite]: #13544 -#13541 := (iff #3307 #13540) -#13538 := (iff #3306 #13535) -#13531 := (implies #3061 #13526) -#13536 := (iff #13531 #13535) -#13537 := [rewrite]: #13536 -#13532 := (iff #3306 #13531) -#13529 := (iff #3305 #13526) -#13522 := (implies #12423 #13517) -#13527 := (iff #13522 #13526) -#13528 := [rewrite]: #13527 -#13523 := (iff #3305 #13522) -#13520 := (iff #3304 #13517) -#13513 := (implies #12432 #13508) -#13518 := (iff #13513 #13517) -#13519 := [rewrite]: #13518 -#13514 := (iff #3304 #13513) -#13511 := (iff #3303 #13508) -#13505 := (implies #3060 #13432) -#13509 := (iff #13505 #13508) -#13510 := [rewrite]: #13509 -#13506 := (iff #3303 #13505) -#13503 := (iff #3302 #13432) -#13498 := (and #13432 true) -#13501 := (iff #13498 #13432) -#13502 := [rewrite]: #13501 -#13499 := (iff #3302 #13498) -#13496 := (iff #3301 true) -#13491 := (implies true true) -#13494 := (iff #13491 true) -#13495 := [rewrite]: #13494 -#13492 := (iff #3301 #13491) -#13489 := (iff #3300 true) -#13484 := (implies #3060 true) -#13487 := (iff #13484 true) -#13488 := [rewrite]: #13487 -#13485 := (iff #3300 #13484) -#13482 := (iff #3299 true) -#13449 := (or #13376 #12751) -#13457 := (or #12687 #13449) -#13472 := (or #12687 #13457) -#13477 := (implies false #13472) -#13480 := (iff #13477 true) -#13481 := [rewrite]: #13480 -#13478 := (iff #3299 #13477) -#13475 := (iff #3298 #13472) -#13469 := (implies #3060 #13457) -#13473 := (iff #13469 #13472) -#13474 := [rewrite]: #13473 -#13470 := (iff #3298 #13469) -#13467 := (iff #3297 #13457) -#13462 := (implies true #13457) -#13465 := (iff #13462 #13457) -#13466 := [rewrite]: #13465 -#13463 := (iff #3297 #13462) -#13460 := (iff #3296 #13457) -#13454 := (implies #3060 #13449) -#13458 := (iff #13454 #13457) -#13459 := [rewrite]: #13458 -#13455 := (iff #3296 #13454) -#13452 := (iff #3295 #13449) -#13446 := (implies #12556 #12751) -#13450 := (iff #13446 #13449) -#13451 := [rewrite]: #13450 -#13447 := (iff #3295 #13446) -#12754 := (iff #3167 #12751) -#12748 := (implies #3060 #12736) -#12752 := (iff #12748 #12751) -#12753 := [rewrite]: #12752 -#12749 := (iff #3167 #12748) -#12746 := (iff #3166 #12736) -#12741 := (implies true #12736) -#12744 := (iff #12741 #12736) -#12745 := [rewrite]: #12744 -#12742 := (iff #3166 #12741) -#12739 := (iff #3165 #12736) -#12733 := (implies #3060 #12728) -#12737 := (iff #12733 #12736) -#12738 := [rewrite]: #12737 -#12734 := (iff #3165 #12733) -#12731 := (iff #3164 #12728) -#12725 := (and #12720 up_216) -#12729 := (iff #12725 #12728) -#12730 := [rewrite]: #12729 -#12726 := (iff #3164 #12725) -#12723 := (iff #3163 #12720) -#12716 := (implies up_216 #12711) -#12721 := (iff #12716 #12720) -#12722 := [rewrite]: #12721 -#12717 := (iff #3163 #12716) -#12714 := (iff #3162 #12711) -#12708 := (implies #3060 #12696) -#12712 := (iff #12708 #12711) -#12713 := [rewrite]: #12712 -#12709 := (iff #3162 #12708) -#12706 := (iff #3161 #12696) -#12701 := (implies true #12696) -#12704 := (iff #12701 #12696) -#12705 := [rewrite]: #12704 -#12702 := (iff #3161 #12701) -#12699 := (iff #3160 #12696) -#12693 := (implies #3060 #12688) -#12697 := (iff #12693 #12696) -#12698 := [rewrite]: #12697 -#12694 := (iff #3160 #12693) -#12691 := (iff #3159 #12688) -#12684 := (implies #3060 #12672) -#12689 := (iff #12684 #12688) -#12690 := [rewrite]: #12689 -#12685 := (iff #3159 #12684) -#12682 := (iff #3158 #12672) -#12677 := (implies true #12672) -#12680 := (iff #12677 #12672) -#12681 := [rewrite]: #12680 -#12678 := (iff #3158 #12677) -#12675 := (iff #3157 #12672) -#12668 := (implies #12567 #12663) -#12673 := (iff #12668 #12672) -#12674 := [rewrite]: #12673 -#12669 := (iff #3157 #12668) -#12666 := (iff #3156 #12663) -#12659 := (implies #12570 #12654) -#12664 := (iff #12659 #12663) -#12665 := [rewrite]: #12664 -#12660 := (iff #3156 #12659) -#12657 := (iff #3155 #12654) -#12650 := (implies #12573 #12645) -#12655 := (iff #12650 #12654) -#12656 := [rewrite]: #12655 -#12651 := (iff #3155 #12650) -#12648 := (iff #3154 #12645) -#12641 := (implies #12576 #12629) -#12646 := (iff #12641 #12645) -#12647 := [rewrite]: #12646 -#12642 := (iff #3154 #12641) -#12639 := (iff #3153 #12629) -#12634 := (implies true #12629) -#12637 := (iff #12634 #12629) -#12638 := [rewrite]: #12637 -#12635 := (iff #3153 #12634) -#12632 := (iff #3152 #12629) -#12626 := (and #12621 #12591) -#12630 := (iff #12626 #12629) -#12631 := [rewrite]: #12630 -#12627 := (iff #3152 #12626) -#12592 := (iff #3144 #12591) -#12589 := (iff #3143 #12586) -#12583 := (implies #5718 #12580) -#12587 := (iff #12583 #12586) -#12588 := [rewrite]: #12587 -#12584 := (iff #3143 #12583) -#12581 := (iff #3142 #12580) -#12582 := [rewrite]: #12581 -#12585 := [monotonicity #5720 #12582]: #12584 -#12590 := [trans #12585 #12588]: #12589 -#12593 := [quant-intro #12590]: #12592 -#12624 := (iff #3151 #12621) -#12617 := (implies #12591 #12600) -#12622 := (iff #12617 #12621) -#12623 := [rewrite]: #12622 -#12618 := (iff #3151 #12617) -#12615 := (iff #3150 #12600) -#12610 := (and true #12600) -#12613 := (iff #12610 #12600) -#12614 := [rewrite]: #12613 -#12611 := (iff #3150 #12610) -#12601 := (iff #3148 #12600) -#12598 := (iff #3147 #12597) -#12595 := (iff #3146 #12594) -#12596 := [monotonicity #5720]: #12595 -#12599 := [monotonicity #12596]: #12598 -#12602 := [quant-intro #12599]: #12601 -#12608 := (iff #3149 true) -#12603 := (implies #12600 true) -#12606 := (iff #12603 true) -#12607 := [rewrite]: #12606 -#12604 := (iff #3149 #12603) -#12605 := [monotonicity #12602]: #12604 -#12609 := [trans #12605 #12607]: #12608 -#12612 := [monotonicity #12609 #12602]: #12611 -#12616 := [trans #12612 #12614]: #12615 -#12619 := [monotonicity #12593 #12616]: #12618 -#12625 := [trans #12619 #12623]: #12624 -#12628 := [monotonicity #12625 #12593]: #12627 -#12633 := [trans #12628 #12631]: #12632 -#12636 := [monotonicity #12633]: #12635 -#12640 := [trans #12636 #12638]: #12639 -#12577 := (iff #3139 #12576) -#12578 := [rewrite]: #12577 -#12643 := [monotonicity #12578 #12640]: #12642 -#12649 := [trans #12643 #12647]: #12648 -#12574 := (iff #3137 #12573) -#12575 := [rewrite]: #12574 -#12652 := [monotonicity #12575 #12649]: #12651 -#12658 := [trans #12652 #12656]: #12657 -#12571 := (iff #3135 #12570) -#12572 := [rewrite]: #12571 -#12661 := [monotonicity #12572 #12658]: #12660 -#12667 := [trans #12661 #12665]: #12666 -#12568 := (iff #3133 #12567) -#12569 := [rewrite]: #12568 -#12670 := [monotonicity #12569 #12667]: #12669 -#12676 := [trans #12670 #12674]: #12675 -#12679 := [monotonicity #12676]: #12678 -#12683 := [trans #12679 #12681]: #12682 -#12686 := [monotonicity #12683]: #12685 -#12692 := [trans #12686 #12690]: #12691 -#12695 := [monotonicity #12692]: #12694 -#12700 := [trans #12695 #12698]: #12699 -#12703 := [monotonicity #12700]: #12702 -#12707 := [trans #12703 #12705]: #12706 -#12710 := [monotonicity #12707]: #12709 -#12715 := [trans #12710 #12713]: #12714 -#12718 := [monotonicity #12715]: #12717 -#12724 := [trans #12718 #12722]: #12723 -#12727 := [monotonicity #12724]: #12726 -#12732 := [trans #12727 #12730]: #12731 -#12735 := [monotonicity #12732]: #12734 -#12740 := [trans #12735 #12738]: #12739 -#12743 := [monotonicity #12740]: #12742 -#12747 := [trans #12743 #12745]: #12746 -#12750 := [monotonicity #12747]: #12749 -#12755 := [trans #12750 #12753]: #12754 -#12557 := (iff #3120 #12556) -#12554 := (iff #3119 #12553) -#12555 := [rewrite]: #12554 -#12333 := (iff #2979 #12332) -#12334 := [rewrite]: #12333 -#12558 := [monotonicity #12334 #12555]: #12557 -#13448 := [monotonicity #12558 #12755]: #13447 -#13453 := [trans #13448 #13451]: #13452 -#13456 := [monotonicity #13453]: #13455 -#13461 := [trans #13456 #13459]: #13460 -#13464 := [monotonicity #13461]: #13463 -#13468 := [trans #13464 #13466]: #13467 -#13471 := [monotonicity #13468]: #13470 -#13476 := [trans #13471 #13474]: #13475 -#13479 := [monotonicity #13445 #13476]: #13478 -#13483 := [trans #13479 #13481]: #13482 -#13486 := [monotonicity #13483]: #13485 -#13490 := [trans #13486 #13488]: #13489 -#13493 := [monotonicity #13490]: #13492 -#13497 := [trans #13493 #13495]: #13496 -#13442 := (iff #3293 #13432) -#13437 := (implies true #13432) -#13440 := (iff #13437 #13432) -#13441 := [rewrite]: #13440 -#13438 := (iff #3293 #13437) -#13435 := (iff #3292 #13432) -#13429 := (implies #3060 #13417) -#13433 := (iff #13429 #13432) -#13434 := [rewrite]: #13433 -#13430 := (iff #3292 #13429) -#13427 := (iff #3291 #13417) -#13422 := (implies true #13417) -#13425 := (iff #13422 #13417) -#13426 := [rewrite]: #13425 -#13423 := (iff #3291 #13422) -#13420 := (iff #3290 #13417) -#13414 := (implies #3060 #13402) -#13418 := (iff #13414 #13417) -#13419 := [rewrite]: #13418 -#13415 := (iff #3290 #13414) -#13412 := (iff #3289 #13402) -#13407 := (implies true #13402) -#13410 := (iff #13407 #13402) -#13411 := [rewrite]: #13410 -#13408 := (iff #3289 #13407) -#13405 := (iff #3288 #13402) -#13399 := (implies #3060 #13394) -#13403 := (iff #13399 #13402) -#13404 := [rewrite]: #13403 -#13400 := (iff #3288 #13399) -#13397 := (iff #3287 #13394) -#13391 := (implies #12544 #13386) -#13395 := (iff #13391 #13394) -#13396 := [rewrite]: #13395 -#13392 := (iff #3287 #13391) -#13389 := (iff #3286 #13386) -#13382 := (implies #12544 #13377) -#13387 := (iff #13382 #13386) -#13388 := [rewrite]: #13387 -#13383 := (iff #3286 #13382) -#13380 := (iff #3285 #13377) -#13373 := (implies #12556 #13368) -#13378 := (iff #13373 #13377) -#13379 := [rewrite]: #13378 -#13374 := (iff #3285 #13373) -#13371 := (iff #3284 #13368) -#13364 := (implies #3121 #13359) -#13369 := (iff #13364 #13368) -#13370 := [rewrite]: #13369 -#13365 := (iff #3284 #13364) -#13362 := (iff #3283 #13359) -#13355 := (implies #3122 #13350) -#13360 := (iff #13355 #13359) -#13361 := [rewrite]: #13360 -#13356 := (iff #3283 #13355) -#13353 := (iff #3282 #13350) -#13346 := (implies #3123 #13341) -#13351 := (iff #13346 #13350) -#13352 := [rewrite]: #13351 -#13347 := (iff #3282 #13346) -#13344 := (iff #3281 #13341) -#13337 := (implies #3124 #13332) -#13342 := (iff #13337 #13341) -#13343 := [rewrite]: #13342 -#13338 := (iff #3281 #13337) -#13335 := (iff #3280 #13332) -#13328 := (implies #3127 #13316) -#13333 := (iff #13328 #13332) -#13334 := [rewrite]: #13333 -#13329 := (iff #3280 #13328) -#13326 := (iff #3279 #13316) -#13321 := (implies true #13316) -#13324 := (iff #13321 #13316) -#13325 := [rewrite]: #13324 -#13322 := (iff #3279 #13321) -#13319 := (iff #3278 #13316) -#13313 := (implies #3060 #13310) -#13317 := (iff #13313 #13316) -#13318 := [rewrite]: #13317 -#13314 := (iff #3278 #13313) -#13311 := (iff #3277 #13310) -#13308 := (iff #3276 #13298) -#13303 := (implies true #13298) -#13306 := (iff #13303 #13298) -#13307 := [rewrite]: #13306 -#13304 := (iff #3276 #13303) -#13301 := (iff #3275 #13298) -#13295 := (implies #3060 #13290) -#13299 := (iff #13295 #13298) -#13300 := [rewrite]: #13299 -#13296 := (iff #3275 #13295) -#13293 := (iff #3274 #13290) -#13286 := (implies #3174 #13281) -#13291 := (iff #13286 #13290) -#13292 := [rewrite]: #13291 -#13287 := (iff #3274 #13286) -#13284 := (iff #3273 #13281) -#13278 := (implies #3060 #13266) -#13282 := (iff #13278 #13281) -#13283 := [rewrite]: #13282 -#13279 := (iff #3273 #13278) -#13276 := (iff #3272 #13266) -#13271 := (implies true #13266) -#13274 := (iff #13271 #13266) -#13275 := [rewrite]: #13274 -#13272 := (iff #3272 #13271) -#13269 := (iff #3271 #13266) -#13263 := (implies #3060 #13258) -#13267 := (iff #13263 #13266) -#13268 := [rewrite]: #13267 -#13264 := (iff #3271 #13263) -#13261 := (iff #3270 #13258) -#13255 := (and #13250 #12809) -#13259 := (iff #13255 #13258) -#13260 := [rewrite]: #13259 -#13256 := (iff #3270 #13255) -#12810 := (iff #3180 #12809) -#12807 := (iff #3179 #12806) -#12808 := [rewrite]: #12807 -#12804 := (iff #3177 #12803) -#12805 := [rewrite]: #12804 -#12811 := [monotonicity #12805 #12808]: #12810 -#13253 := (iff #3269 #13250) -#13247 := (implies #12809 #13242) -#13251 := (iff #13247 #13250) -#13252 := [rewrite]: #13251 -#13248 := (iff #3269 #13247) -#13245 := (iff #3268 #13242) -#13239 := (and #13234 #12818) -#13243 := (iff #13239 #13242) -#13244 := [rewrite]: #13243 -#13240 := (iff #3268 #13239) -#12821 := (iff #3183 #12818) -#12815 := (and #12812 #12806) -#12819 := (iff #12815 #12818) -#12820 := [rewrite]: #12819 -#12816 := (iff #3183 #12815) -#12813 := (iff #3182 #12812) -#12814 := [rewrite]: #12813 -#12817 := [monotonicity #12814 #12808]: #12816 -#12822 := [trans #12817 #12820]: #12821 -#13237 := (iff #3267 #13234) -#13231 := (implies #12818 #13226) -#13235 := (iff #13231 #13234) -#13236 := [rewrite]: #13235 -#13232 := (iff #3267 #13231) -#13229 := (iff #3266 #13226) -#13223 := (implies #3060 #13220) -#13227 := (iff #13223 #13226) -#13228 := [rewrite]: #13227 -#13224 := (iff #3266 #13223) -#13221 := (iff #3265 #13220) -#13218 := (iff #3264 #13208) -#13213 := (implies true #13208) -#13216 := (iff #13213 #13208) -#13217 := [rewrite]: #13216 -#13214 := (iff #3264 #13213) -#13211 := (iff #3263 #13208) -#13205 := (implies #3060 #13200) -#13209 := (iff #13205 #13208) -#13210 := [rewrite]: #13209 -#13206 := (iff #3263 #13205) -#13203 := (iff #3262 #13200) -#13196 := (implies #3238 #13191) -#13201 := (iff #13196 #13200) -#13202 := [rewrite]: #13201 -#13197 := (iff #3262 #13196) -#13194 := (iff #3261 #13191) -#13188 := (implies #3060 #13176) -#13192 := (iff #13188 #13191) -#13193 := [rewrite]: #13192 -#13189 := (iff #3261 #13188) -#13186 := (iff #3260 #13176) -#13181 := (implies true #13176) -#13184 := (iff #13181 #13176) -#13185 := [rewrite]: #13184 -#13182 := (iff #3260 #13181) -#13179 := (iff #3259 #13176) -#13173 := (implies #3060 #13168) -#13177 := (iff #13173 #13176) -#13178 := [rewrite]: #13177 -#13174 := (iff #3259 #13173) -#13171 := (iff #3258 #13168) -#13165 := (and #13160 #12809) -#13169 := (iff #13165 #13168) -#13170 := [rewrite]: #13169 -#13166 := (iff #3258 #13165) -#13163 := (iff #3257 #13160) -#13156 := (implies #12809 #13151) -#13161 := (iff #13156 #13160) -#13162 := [rewrite]: #13161 -#13157 := (iff #3257 #13156) -#13154 := (iff #3256 #13151) -#13148 := (and #13143 #12818) -#13152 := (iff #13148 #13151) -#13153 := [rewrite]: #13152 -#13149 := (iff #3256 #13148) -#13146 := (iff #3255 #13143) -#13139 := (implies #12818 #13134) -#13144 := (iff #13139 #13143) -#13145 := [rewrite]: #13144 -#13140 := (iff #3255 #13139) -#13137 := (iff #3254 #13134) -#13130 := (implies #13070 #13125) -#13135 := (iff #13130 #13134) -#13136 := [rewrite]: #13135 -#13131 := (iff #3254 #13130) -#13128 := (iff #3253 #13125) -#13121 := (implies #3242 #13116) -#13126 := (iff #13121 #13125) -#13127 := [rewrite]: #13126 -#13122 := (iff #3253 #13121) -#13119 := (iff #3252 #13116) -#13112 := (implies #3244 #13107) -#13117 := (iff #13112 #13116) -#13118 := [rewrite]: #13117 -#13113 := (iff #3252 #13112) -#13110 := (iff #3251 #13107) -#13103 := (implies #3059 #13091) -#13108 := (iff #13103 #13107) -#13109 := [rewrite]: #13108 -#13104 := (iff #3251 #13103) -#13101 := (iff #3250 #13091) -#13096 := (implies true #13091) -#13099 := (iff #13096 #13091) -#13100 := [rewrite]: #13099 -#13097 := (iff #3250 #13096) -#13094 := (iff #3249 #13091) -#13087 := (implies #3246 #13082) -#13092 := (iff #13087 #13091) -#13093 := [rewrite]: #13092 -#13088 := (iff #3249 #13087) -#13085 := (iff #3248 #13082) -#13078 := (implies #13075 #12978) -#13083 := (iff #13078 #13082) -#13084 := [rewrite]: #13083 -#13079 := (iff #3248 #13078) -#12988 := (iff #3227 #12978) -#12983 := (implies true #12978) -#12986 := (iff #12983 #12978) -#12987 := [rewrite]: #12986 -#12984 := (iff #3227 #12983) -#12981 := (iff #3226 #12978) -#12974 := (implies #12829 #12969) -#12979 := (iff #12974 #12978) -#12980 := [rewrite]: #12979 -#12975 := (iff #3226 #12974) -#12972 := (iff #3225 #12969) -#12966 := (and #12961 #12841) -#12970 := (iff #12966 #12969) -#12971 := [rewrite]: #12970 -#12967 := (iff #3225 #12966) -#12842 := (iff #3195 #12841) -#12839 := (iff #3194 #12838) -#12833 := (= #3192 #12832) -#12834 := [rewrite]: #12833 -#12840 := [monotonicity #12834]: #12839 -#12836 := (iff #3193 #12835) -#12837 := [monotonicity #12834]: #12836 -#12843 := [monotonicity #12837 #12840]: #12842 -#12964 := (iff #3224 #12961) -#12957 := (implies #12841 #12952) -#12962 := (iff #12957 #12961) -#12963 := [rewrite]: #12962 -#12958 := (iff #3224 #12957) -#12955 := (iff #3223 #12952) -#12948 := (implies #12844 #12943) -#12953 := (iff #12948 #12952) -#12954 := [rewrite]: #12953 -#12949 := (iff #3223 #12948) -#12946 := (iff #3222 #12943) -#12939 := (implies #3199 #12934) -#12944 := (iff #12939 #12943) -#12945 := [rewrite]: #12944 -#12940 := (iff #3222 #12939) -#12937 := (iff #3221 #12934) -#12930 := (implies #3201 #12918) -#12935 := (iff #12930 #12934) -#12936 := [rewrite]: #12935 -#12931 := (iff #3221 #12930) -#12928 := (iff #3220 #12918) -#12923 := (implies true #12918) -#12926 := (iff #12923 #12918) -#12927 := [rewrite]: #12926 -#12924 := (iff #3220 #12923) -#12921 := (iff #3219 #12918) -#12915 := (and #12910 #3202) -#12919 := (iff #12915 #12918) -#12920 := [rewrite]: #12919 -#12916 := (iff #3219 #12915) -#12913 := (iff #3218 #12910) -#12906 := (implies #3202 #12901) -#12911 := (iff #12906 #12910) -#12912 := [rewrite]: #12911 -#12907 := (iff #3218 #12906) -#12904 := (iff #3217 #12901) -#12898 := (and #12893 #12859) -#12902 := (iff #12898 #12901) -#12903 := [rewrite]: #12902 -#12899 := (iff #3217 #12898) -#12860 := (iff #3207 #12859) -#12857 := (iff #3206 #12854) -#12851 := (implies #5718 #12848) -#12855 := (iff #12851 #12854) -#12856 := [rewrite]: #12855 -#12852 := (iff #3206 #12851) -#12849 := (iff #3205 #12848) -#12850 := [rewrite]: #12849 -#12853 := [monotonicity #5720 #12850]: #12852 -#12858 := [trans #12853 #12856]: #12857 -#12861 := [quant-intro #12858]: #12860 -#12896 := (iff #3216 #12893) -#12889 := (implies #12859 #12868) -#12894 := (iff #12889 #12893) -#12895 := [rewrite]: #12894 -#12890 := (iff #3216 #12889) -#12887 := (iff #3215 #12868) -#12882 := (and true #12868) -#12885 := (iff #12882 #12868) -#12886 := [rewrite]: #12885 -#12883 := (iff #3215 #12882) -#12871 := (iff #3212 #12868) -#12865 := (and #12862 #3211) -#12869 := (iff #12865 #12868) -#12870 := [rewrite]: #12869 -#12866 := (iff #3212 #12865) -#12863 := (iff #3210 #12862) -#12864 := [rewrite]: #12863 -#12867 := [monotonicity #12864]: #12866 -#12872 := [trans #12867 #12870]: #12871 -#12880 := (iff #3214 true) -#12875 := (implies #12868 true) -#12878 := (iff #12875 true) -#12879 := [rewrite]: #12878 -#12876 := (iff #3214 #12875) -#12873 := (iff #3213 true) -#12874 := [rewrite]: #12873 -#12877 := [monotonicity #12872 #12874]: #12876 -#12881 := [trans #12877 #12879]: #12880 -#12884 := [monotonicity #12881 #12872]: #12883 -#12888 := [trans #12884 #12886]: #12887 -#12891 := [monotonicity #12861 #12888]: #12890 -#12897 := [trans #12891 #12895]: #12896 -#12900 := [monotonicity #12897 #12861]: #12899 -#12905 := [trans #12900 #12903]: #12904 -#12908 := [monotonicity #12905]: #12907 -#12914 := [trans #12908 #12912]: #12913 -#12917 := [monotonicity #12914]: #12916 -#12922 := [trans #12917 #12920]: #12921 -#12925 := [monotonicity #12922]: #12924 -#12929 := [trans #12925 #12927]: #12928 -#12932 := [monotonicity #12929]: #12931 -#12938 := [trans #12932 #12936]: #12937 -#12941 := [monotonicity #12938]: #12940 -#12947 := [trans #12941 #12945]: #12946 -#12845 := (iff #3197 #12844) -#12846 := [monotonicity #12834]: #12845 -#12950 := [monotonicity #12846 #12947]: #12949 -#12956 := [trans #12950 #12954]: #12955 -#12959 := [monotonicity #12843 #12956]: #12958 -#12965 := [trans #12959 #12963]: #12964 -#12968 := [monotonicity #12965 #12843]: #12967 -#12973 := [trans #12968 #12971]: #12972 -#12830 := (iff #3191 #12829) -#12831 := [rewrite]: #12830 -#12976 := [monotonicity #12831 #12973]: #12975 -#12982 := [trans #12976 #12980]: #12981 -#12985 := [monotonicity #12982]: #12984 -#12989 := [trans #12985 #12987]: #12988 -#13076 := (iff #3247 #13075) -#13077 := [rewrite]: #13076 -#13080 := [monotonicity #13077 #12989]: #13079 -#13086 := [trans #13080 #13084]: #13085 -#13089 := [monotonicity #13086]: #13088 -#13095 := [trans #13089 #13093]: #13094 -#13098 := [monotonicity #13095]: #13097 -#13102 := [trans #13098 #13100]: #13101 -#13073 := (iff #3245 #3059) -#13074 := [rewrite]: #13073 -#13105 := [monotonicity #13074 #13102]: #13104 -#13111 := [trans #13105 #13109]: #13110 -#13114 := [monotonicity #13111]: #13113 -#13120 := [trans #13114 #13118]: #13119 -#13123 := [monotonicity #13120]: #13122 -#13129 := [trans #13123 #13127]: #13128 -#13071 := (iff #3240 #13070) -#13072 := [rewrite]: #13071 -#13132 := [monotonicity #13072 #13129]: #13131 -#13138 := [trans #13132 #13136]: #13137 -#13141 := [monotonicity #12822 #13138]: #13140 -#13147 := [trans #13141 #13145]: #13146 -#13150 := [monotonicity #13147 #12822]: #13149 -#13155 := [trans #13150 #13153]: #13154 -#13158 := [monotonicity #12811 #13155]: #13157 -#13164 := [trans #13158 #13162]: #13163 -#13167 := [monotonicity #13164 #12811]: #13166 -#13172 := [trans #13167 #13170]: #13171 -#13175 := [monotonicity #13172]: #13174 -#13180 := [trans #13175 #13178]: #13179 -#13183 := [monotonicity #13180]: #13182 -#13187 := [trans #13183 #13185]: #13186 -#13190 := [monotonicity #13187]: #13189 -#13195 := [trans #13190 #13193]: #13194 -#13198 := [monotonicity #13195]: #13197 -#13204 := [trans #13198 #13202]: #13203 -#13207 := [monotonicity #13204]: #13206 -#13212 := [trans #13207 #13210]: #13211 -#13215 := [monotonicity #13212]: #13214 -#13219 := [trans #13215 #13217]: #13218 -#13068 := (iff #3237 #13058) -#13063 := (implies true #13058) -#13066 := (iff #13063 #13058) -#13067 := [rewrite]: #13066 -#13064 := (iff #3237 #13063) -#13061 := (iff #3236 #13058) -#13055 := (implies #3060 #13050) -#13059 := (iff #13055 #13058) -#13060 := [rewrite]: #13059 -#13056 := (iff #3236 #13055) -#13053 := (iff #3235 #13050) -#13046 := (implies #3185 #13041) -#13051 := (iff #13046 #13050) -#13052 := [rewrite]: #13051 -#13047 := (iff #3235 #13046) -#13044 := (iff #3234 #13041) -#13038 := (implies #3060 #13026) -#13042 := (iff #13038 #13041) -#13043 := [rewrite]: #13042 -#13039 := (iff #3234 #13038) -#13036 := (iff #3233 #13026) -#13031 := (implies true #13026) -#13034 := (iff #13031 #13026) -#13035 := [rewrite]: #13034 -#13032 := (iff #3233 #13031) -#13029 := (iff #3232 #13026) -#13023 := (implies #3060 #13018) -#13027 := (iff #13023 #13026) -#13028 := [rewrite]: #13027 -#13024 := (iff #3232 #13023) -#13021 := (iff #3231 #13018) -#13015 := (implies #3060 #13003) -#13019 := (iff #13015 #13018) -#13020 := [rewrite]: #13019 -#13016 := (iff #3231 #13015) -#13013 := (iff #3230 #13003) -#13008 := (implies true #13003) -#13011 := (iff #13008 #13003) -#13012 := [rewrite]: #13011 -#13009 := (iff #3230 #13008) -#13006 := (iff #3229 #13003) -#12999 := (implies #12823 #12994) -#13004 := (iff #12999 #13003) -#13005 := [rewrite]: #13004 -#13000 := (iff #3229 #12999) -#12997 := (iff #3228 #12994) -#12990 := (implies #12826 #12978) -#12995 := (iff #12990 #12994) -#12996 := [rewrite]: #12995 -#12991 := (iff #3228 #12990) -#12827 := (iff #3189 #12826) -#12828 := [rewrite]: #12827 -#12992 := [monotonicity #12828 #12989]: #12991 -#12998 := [trans #12992 #12996]: #12997 -#12824 := (iff #3187 #12823) -#12825 := [rewrite]: #12824 -#13001 := [monotonicity #12825 #12998]: #13000 -#13007 := [trans #13001 #13005]: #13006 -#13010 := [monotonicity #13007]: #13009 -#13014 := [trans #13010 #13012]: #13013 -#13017 := [monotonicity #13014]: #13016 -#13022 := [trans #13017 #13020]: #13021 -#13025 := [monotonicity #13022]: #13024 -#13030 := [trans #13025 #13028]: #13029 -#13033 := [monotonicity #13030]: #13032 -#13037 := [trans #13033 #13035]: #13036 -#13040 := [monotonicity #13037]: #13039 -#13045 := [trans #13040 #13043]: #13044 -#13048 := [monotonicity #13045]: #13047 -#13054 := [trans #13048 #13052]: #13053 -#13057 := [monotonicity #13054]: #13056 -#13062 := [trans #13057 #13060]: #13061 -#13065 := [monotonicity #13062]: #13064 -#13069 := [trans #13065 #13067]: #13068 -#13222 := [monotonicity #13069 #13219]: #13221 -#13225 := [monotonicity #13222]: #13224 -#13230 := [trans #13225 #13228]: #13229 -#13233 := [monotonicity #12822 #13230]: #13232 -#13238 := [trans #13233 #13236]: #13237 -#13241 := [monotonicity #13238 #12822]: #13240 -#13246 := [trans #13241 #13244]: #13245 -#13249 := [monotonicity #12811 #13246]: #13248 -#13254 := [trans #13249 #13252]: #13253 -#13257 := [monotonicity #13254 #12811]: #13256 -#13262 := [trans #13257 #13260]: #13261 -#13265 := [monotonicity #13262]: #13264 -#13270 := [trans #13265 #13268]: #13269 -#13273 := [monotonicity #13270]: #13272 -#13277 := [trans #13273 #13275]: #13276 -#13280 := [monotonicity #13277]: #13279 -#13285 := [trans #13280 #13283]: #13284 -#13288 := [monotonicity #13285]: #13287 -#13294 := [trans #13288 #13292]: #13293 -#13297 := [monotonicity #13294]: #13296 -#13302 := [trans #13297 #13300]: #13301 -#13305 := [monotonicity #13302]: #13304 -#13309 := [trans #13305 #13307]: #13308 -#12801 := (iff #3173 #12791) -#12796 := (implies true #12791) -#12799 := (iff #12796 #12791) -#12800 := [rewrite]: #12799 -#12797 := (iff #3173 #12796) -#12794 := (iff #3172 #12791) -#12788 := (implies #3060 #12783) -#12792 := (iff #12788 #12791) -#12793 := [rewrite]: #12792 -#12789 := (iff #3172 #12788) -#12786 := (iff #3171 #12783) -#12779 := (implies #3131 #12774) -#12784 := (iff #12779 #12783) -#12785 := [rewrite]: #12784 -#12780 := (iff #3171 #12779) -#12777 := (iff #3170 #12774) -#12771 := (implies #3060 #12759) -#12775 := (iff #12771 #12774) -#12776 := [rewrite]: #12775 -#12772 := (iff #3170 #12771) -#12769 := (iff #3169 #12759) -#12764 := (implies true #12759) -#12767 := (iff #12764 #12759) -#12768 := [rewrite]: #12767 -#12765 := (iff #3169 #12764) -#12762 := (iff #3168 #12759) -#12756 := (implies #3060 #12751) -#12760 := (iff #12756 #12759) -#12761 := [rewrite]: #12760 -#12757 := (iff #3168 #12756) -#12758 := [monotonicity #12755]: #12757 -#12763 := [trans #12758 #12761]: #12762 -#12766 := [monotonicity #12763]: #12765 -#12770 := [trans #12766 #12768]: #12769 -#12773 := [monotonicity #12770]: #12772 -#12778 := [trans #12773 #12776]: #12777 -#12781 := [monotonicity #12778]: #12780 -#12787 := [trans #12781 #12785]: #12786 -#12790 := [monotonicity #12787]: #12789 -#12795 := [trans #12790 #12793]: #12794 -#12798 := [monotonicity #12795]: #12797 -#12802 := [trans #12798 #12800]: #12801 -#13312 := [monotonicity #12802 #13309]: #13311 -#13315 := [monotonicity #13312]: #13314 -#13320 := [trans #13315 #13318]: #13319 -#12565 := (iff #3130 true) -#12520 := (iff #12517 true) -#12521 := [rewrite]: #12520 -#12563 := (iff #3130 #12517) -#12561 := (iff #3129 true) -#12562 := [rewrite]: #12561 -#12559 := (iff #3128 true) -#12560 := [rewrite]: #12559 -#12564 := [monotonicity #12560 #12562]: #12563 -#12566 := [trans #12564 #12521]: #12565 -#13323 := [monotonicity #12566 #13320]: #13322 -#13327 := [trans #13323 #13325]: #13326 -#13330 := [monotonicity #13327]: #13329 -#13336 := [trans #13330 #13334]: #13335 -#13339 := [monotonicity #13336]: #13338 -#13345 := [trans #13339 #13343]: #13344 -#13348 := [monotonicity #13345]: #13347 -#13354 := [trans #13348 #13352]: #13353 -#13357 := [monotonicity #13354]: #13356 -#13363 := [trans #13357 #13361]: #13362 -#13366 := [monotonicity #13363]: #13365 -#13372 := [trans #13366 #13370]: #13371 -#13375 := [monotonicity #12558 #13372]: #13374 -#13381 := [trans #13375 #13379]: #13380 -#12551 := (iff #3116 #12544) -#12541 := (and #12437 #3115) -#12545 := (iff #12541 #12544) -#12546 := [rewrite]: #12545 -#12549 := (iff #3116 #12541) -#12438 := (iff #3073 #12437) -#12439 := [rewrite]: #12438 -#12550 := [monotonicity #12439]: #12549 -#12552 := [trans #12550 #12546]: #12551 -#13384 := [monotonicity #12552 #13381]: #13383 -#13390 := [trans #13384 #13388]: #13389 -#12547 := (iff #3114 #12544) -#12542 := (iff #3114 #12541) -#12539 := (iff #3113 #3115) -#12537 := (iff #3112 #3078) -#12532 := (and #3078 true) -#12535 := (iff #12532 #3078) -#12536 := [rewrite]: #12535 -#12533 := (iff #3112 #12532) -#12530 := (iff #3111 true) -#12528 := (iff #3111 #12517) -#12526 := (iff #3110 true) -#12524 := (iff #3110 #12517) -#12522 := (iff #3109 true) -#12518 := (iff #3109 #12517) -#12515 := (iff #3108 true) -#12476 := (forall (vars (?x777 T5)) (:pat #3090) true) -#12479 := (iff #12476 true) -#12480 := [elim-unused]: #12479 -#12513 := (iff #3108 #12476) -#12511 := (iff #3107 true) -#12500 := (= uf_261 #3104) -#12503 := (not #12500) -#12506 := (implies #12503 #12503) -#12509 := (iff #12506 true) -#12510 := [rewrite]: #12509 -#12507 := (iff #3107 #12506) -#12504 := (iff #3106 #12503) -#12501 := (iff #3105 #12500) -#12502 := [rewrite]: #12501 -#12505 := [monotonicity #12502]: #12504 -#12508 := [monotonicity #12505 #12505]: #12507 -#12512 := [trans #12508 #12510]: #12511 -#12514 := [quant-intro #12512]: #12513 -#12516 := [trans #12514 #12480]: #12515 -#12498 := (iff #3101 true) -#12493 := (forall (vars (?x778 T5)) (:pat #3097) true) -#12496 := (iff #12493 true) -#12497 := [elim-unused]: #12496 -#12494 := (iff #3101 #12493) -#12491 := (iff #3100 true) -#12440 := (= uf_9 #3082) -#12452 := (implies #12440 #12440) -#12455 := (iff #12452 true) -#12456 := [rewrite]: #12455 -#12489 := (iff #3100 #12452) -#12487 := (iff #3099 #12440) -#12445 := (and #12440 true) -#12448 := (iff #12445 #12440) -#12449 := [rewrite]: #12448 -#12485 := (iff #3099 #12445) -#12483 := (iff #3098 true) -#12484 := [rewrite]: #12483 -#12441 := (iff #3083 #12440) -#12442 := [rewrite]: #12441 -#12486 := [monotonicity #12442 #12484]: #12485 -#12488 := [trans #12486 #12449]: #12487 -#12490 := [monotonicity #12442 #12488]: #12489 -#12492 := [trans #12490 #12456]: #12491 -#12495 := [quant-intro #12492]: #12494 -#12499 := [trans #12495 #12497]: #12498 -#12519 := [monotonicity #12499 #12516]: #12518 -#12523 := [trans #12519 #12521]: #12522 -#12481 := (iff #3094 true) -#12477 := (iff #3094 #12476) -#12474 := (iff #3093 true) -#12472 := (iff #3093 #12452) -#12470 := (iff #3092 #12440) -#12468 := (iff #3092 #12445) -#12466 := (iff #3091 true) -#12467 := [rewrite]: #12466 -#12469 := [monotonicity #12442 #12467]: #12468 -#12471 := [trans #12469 #12449]: #12470 -#12473 := [monotonicity #12442 #12471]: #12472 -#12475 := [trans #12473 #12456]: #12474 -#12478 := [quant-intro #12475]: #12477 -#12482 := [trans #12478 #12480]: #12481 -#12525 := [monotonicity #12482 #12523]: #12524 -#12527 := [trans #12525 #12521]: #12526 -#12464 := (iff #3087 true) -#12459 := (forall (vars (?x776 T5)) (:pat #3081) true) -#12462 := (iff #12459 true) -#12463 := [elim-unused]: #12462 -#12460 := (iff #3087 #12459) -#12457 := (iff #3086 true) -#12453 := (iff #3086 #12452) -#12450 := (iff #3085 #12440) -#12446 := (iff #3085 #12445) -#12443 := (iff #3084 true) -#12444 := [rewrite]: #12443 -#12447 := [monotonicity #12442 #12444]: #12446 -#12451 := [trans #12447 #12449]: #12450 -#12454 := [monotonicity #12442 #12451]: #12453 -#12458 := [trans #12454 #12456]: #12457 -#12461 := [quant-intro #12458]: #12460 -#12465 := [trans #12461 #12463]: #12464 -#12529 := [monotonicity #12465 #12527]: #12528 -#12531 := [trans #12529 #12521]: #12530 -#12534 := [monotonicity #12531]: #12533 -#12538 := [trans #12534 #12536]: #12537 -#12540 := [monotonicity #12538]: #12539 -#12543 := [monotonicity #12439 #12540]: #12542 -#12548 := [trans #12543 #12546]: #12547 -#13393 := [monotonicity #12548 #13390]: #13392 -#13398 := [trans #13393 #13396]: #13397 -#13401 := [monotonicity #13398]: #13400 -#13406 := [trans #13401 #13404]: #13405 -#13409 := [monotonicity #13406]: #13408 -#13413 := [trans #13409 #13411]: #13412 -#13416 := [monotonicity #13413]: #13415 -#13421 := [trans #13416 #13419]: #13420 -#13424 := [monotonicity #13421]: #13423 -#13428 := [trans #13424 #13426]: #13427 -#13431 := [monotonicity #13428]: #13430 -#13436 := [trans #13431 #13434]: #13435 -#13439 := [monotonicity #13436]: #13438 -#13443 := [trans #13439 #13441]: #13442 -#13500 := [monotonicity #13443 #13497]: #13499 -#13504 := [trans #13500 #13502]: #13503 -#13507 := [monotonicity #13504]: #13506 -#13512 := [trans #13507 #13510]: #13511 -#12435 := (iff #3071 #12432) -#12429 := (and #12426 #3070) -#12433 := (iff #12429 #12432) -#12434 := [rewrite]: #12433 -#12430 := (iff #3071 #12429) -#12427 := (iff #3069 #12426) -#12428 := [rewrite]: #12427 -#12431 := [monotonicity #12428]: #12430 -#12436 := [trans #12431 #12434]: #12435 -#13515 := [monotonicity #12436 #13512]: #13514 -#13521 := [trans #13515 #13519]: #13520 -#12424 := (iff #3066 #12423) -#12421 := (iff #3065 #12418) -#12415 := (implies #5718 #12412) -#12419 := (iff #12415 #12418) -#12420 := [rewrite]: #12419 -#12416 := (iff #3065 #12415) -#12413 := (iff #3064 #12412) -#12414 := [rewrite]: #12413 -#12417 := [monotonicity #5720 #12414]: #12416 -#12422 := [trans #12417 #12420]: #12421 -#12425 := [quant-intro #12422]: #12424 -#13524 := [monotonicity #12425 #13521]: #13523 -#13530 := [trans #13524 #13528]: #13529 -#13533 := [monotonicity #13530]: #13532 -#13539 := [trans #13533 #13537]: #13538 -#13542 := [monotonicity #13539]: #13541 -#13547 := [trans #13542 #13545]: #13546 -#13550 := [monotonicity #13547]: #13549 -#13556 := [trans #13550 #13554]: #13555 -#13559 := [monotonicity #13556]: #13558 -#13565 := [trans #13559 #13563]: #13564 -#13568 := [monotonicity #13565]: #13567 -#13574 := [trans #13568 #13572]: #13573 -#13577 := [monotonicity #13574]: #13576 -#13581 := [trans #13577 #13579]: #13580 -#13584 := [monotonicity #12410 #13581]: #13583 -#13590 := [trans #13584 #13588]: #13589 -#13593 := [monotonicity #13590 #12410]: #13592 -#13598 := [trans #13593 #13596]: #13597 -#13601 := [monotonicity #12400 #13598]: #13600 -#13607 := [trans #13601 #13605]: #13606 -#13610 := [monotonicity #13607 #12400]: #13609 -#13615 := [trans #13610 #13613]: #13614 -#13618 := [monotonicity #13615]: #13617 -#13624 := [trans #13618 #13622]: #13623 -#13627 := [monotonicity #13624]: #13626 -#13632 := [trans #13627 #13630]: #13631 -#12384 := (iff #3036 #12383) -#12381 := (iff #3035 #12380) -#12378 := (iff #3034 #3033) -#12379 := [rewrite]: #12378 -#12382 := [monotonicity #12379]: #12381 -#12385 := [monotonicity #12382]: #12384 -#13635 := [monotonicity #12385 #13632]: #13634 -#13641 := [trans #13635 #13639]: #13640 -#13644 := [monotonicity #13641]: #13643 -#13650 := [trans #13644 #13648]: #13649 -#13653 := [monotonicity #13650]: #13652 -#13659 := [trans #13653 #13657]: #13658 -#13662 := [monotonicity #13659]: #13661 -#13668 := [trans #13662 #13666]: #13667 -#13671 := [monotonicity #13668]: #13670 -#13677 := [trans #13671 #13675]: #13676 -#13680 := [monotonicity #12377 #13677]: #13679 -#13686 := [trans #13680 #13684]: #13685 -#13689 := [monotonicity #13686 #12377]: #13688 -#13694 := [trans #13689 #13692]: #13693 -#13697 := [monotonicity #12366 #13694]: #13696 -#13703 := [trans #13697 #13701]: #13702 -#13706 := [monotonicity #13703 #12366]: #13705 -#13711 := [trans #13706 #13709]: #13710 -#13714 := [monotonicity #12357 #13711]: #13713 -#13720 := [trans #13714 #13718]: #13719 -#13723 := [monotonicity #13720 #12357]: #13722 -#13728 := [trans #13723 #13726]: #13727 -#13731 := [monotonicity #13728]: #13730 -#13737 := [trans #13731 #13735]: #13736 -#12353 := (iff #3004 #12352) -#12350 := (iff #3003 #12347) -#12344 := (iff #12341 false) -#12348 := (iff #12344 #12347) -#12349 := [rewrite]: #12348 -#12345 := (iff #3003 #12344) -#12342 := (iff #3002 #12341) -#12343 := [rewrite]: #12342 -#12346 := [monotonicity #12343]: #12345 -#12351 := [trans #12346 #12349]: #12350 -#12354 := [quant-intro #12351]: #12353 -#13740 := [monotonicity #12354 #13737]: #13739 -#13746 := [trans #13740 #13744]: #13745 -#13749 := [monotonicity #13746]: #13748 -#13755 := [trans #13749 #13753]: #13754 -#13758 := [monotonicity #13755]: #13757 -#13764 := [trans #13758 #13762]: #13763 -#13767 := [monotonicity #13764]: #13766 -#13773 := [trans #13767 #13771]: #13772 -#13776 := [monotonicity #13773]: #13775 -#13782 := [trans #13776 #13780]: #13781 -#12339 := (iff #2983 #12338) -#12336 := (iff #2982 #12335) -#12337 := [rewrite]: #12336 -#12340 := [monotonicity #12334 #12337]: #12339 -#13785 := [monotonicity #12340 #13782]: #13784 -#13791 := [trans #13785 #13789]: #13790 -#12330 := (iff #2977 #12329) -#12331 := [rewrite]: #12330 -#13794 := [monotonicity #12331 #13791]: #13793 -#13800 := [trans #13794 #13798]: #13799 -#13803 := [monotonicity #13800]: #13802 -#13807 := [trans #13803 #13805]: #13806 -#12327 := (iff #2975 #12326) -#12324 := (iff #2974 #12323) -#12321 := (iff #2973 #12320) -#12318 := (iff #2972 #12317) -#12315 := (iff #2971 #12314) -#12312 := (iff #2970 #12311) -#12313 := [rewrite]: #12312 -#12309 := (iff #2968 #12308) -#12310 := [rewrite]: #12309 -#12316 := [monotonicity #12310 #12313]: #12315 -#12306 := (iff #2966 #12305) -#12307 := [rewrite]: #12306 -#12319 := [monotonicity #12307 #12316]: #12318 -#12303 := (iff #2964 #12302) -#12304 := [rewrite]: #12303 -#12322 := [monotonicity #12304 #12319]: #12321 -#12300 := (iff #2957 #12299) -#12297 := (iff #2956 #12296) -#12298 := [rewrite]: #12297 -#12301 := [monotonicity #12298]: #12300 -#12325 := [monotonicity #12301 #12322]: #12324 -#12294 := (iff #2954 #12293) -#12295 := [rewrite]: #12294 -#12328 := [monotonicity #12295 #12325]: #12327 -#13810 := [monotonicity #12328 #13807]: #13809 -#13816 := [trans #13810 #13814]: #13815 -#13819 := [monotonicity #13816]: #13818 -#13825 := [trans #13819 #13823]: #13824 -#13828 := [monotonicity #13825]: #13827 -#13834 := [trans #13828 #13832]: #13833 -#13837 := [monotonicity #13834]: #13836 -#13843 := [trans #13837 #13841]: #13842 -#13846 := [monotonicity #13843]: #13845 -#13852 := [trans #13846 #13850]: #13851 -#13855 := [monotonicity #13852]: #13854 -#13861 := [trans #13855 #13859]: #13860 -#13864 := [monotonicity #13861]: #13863 -#13868 := [trans #13864 #13866]: #13867 -#13871 := [monotonicity #13868]: #13870 -#14775 := [trans #13871 #14773]: #14774 -#12292 := [asserted]: #3345 -#14776 := [mp #12292 #14775]: #14771 -#14794 := [not-or-elim #14776]: #14658 -#14798 := [and-elim #14794]: #12305 -#233 := (:var 0 T3) -#15 := (:var 1 T5) -#2661 := (uf_48 #15 #233) -#2662 := (pattern #2661) -#11594 := (= uf_9 #2661) -#11601 := (not #11594) -#1250 := (uf_116 #15) -#2664 := (uf_43 #233 #1250) -#2665 := (= #15 #2664) -#11602 := (or #2665 #11601) -#11607 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2662) #11602) -#18734 := (~ #11607 #11607) -#18732 := (~ #11602 #11602) -#18733 := [refl]: #18732 -#18735 := [nnf-pos #18733]: #18734 -#2663 := (= #2661 uf_9) -#2666 := (implies #2663 #2665) -#2667 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2662) #2666) -#11608 := (iff #2667 #11607) -#11605 := (iff #2666 #11602) -#11598 := (implies #11594 #2665) -#11603 := (iff #11598 #11602) -#11604 := [rewrite]: #11603 -#11599 := (iff #2666 #11598) -#11596 := (iff #2663 #11594) -#11597 := [rewrite]: #11596 -#11600 := [monotonicity #11597]: #11599 -#11606 := [trans #11600 #11604]: #11605 -#11609 := [quant-intro #11606]: #11608 -#11593 := [asserted]: #2667 -#11612 := [mp #11593 #11609]: #11607 -#18736 := [mp~ #11612 #18735]: #11607 -#25403 := (not #12305) -#25416 := (not #11607) -#25417 := (or #25416 #25403 #25411) -#25412 := (or #25411 #25403) -#25418 := (or #25416 #25412) -#25425 := (iff #25418 #25417) -#25413 := (or #25403 #25411) -#25420 := (or #25416 #25413) -#25423 := (iff #25420 #25417) -#25424 := [rewrite]: #25423 -#25421 := (iff #25418 #25420) -#25414 := (iff #25412 #25413) -#25415 := [rewrite]: #25414 -#25422 := [monotonicity #25415]: #25421 -#25426 := [trans #25422 #25424]: #25425 -#25419 := [quant-inst]: #25418 -#25427 := [mp #25419 #25426]: #25417 -#27939 := [unit-resolution #25427 #18736 #14798]: #25411 -#27941 := [symm #27939]: #27940 -#26337 := [monotonicity #27941]: #26336 -#26339 := [trans #26337 #28359]: #26338 -#26341 := [monotonicity #26339]: #26340 -#26306 := [monotonicity #26341]: #26342 -#26296 := [symm #26306]: #26293 -#26299 := [monotonicity #26296]: #26298 -#14796 := [and-elim #14794]: #12299 -#26307 := [mp #14796 #26299]: #26297 -decl uf_196 :: (-> T4 T5 T5 T2) -#25980 := (uf_196 uf_273 #25404 #25404) -#25981 := (= uf_9 #25980) -#26002 := (not #25981) -#25982 := (uf_200 uf_273 #25404 #25404 uf_284) -#25983 := (= uf_9 #25982) -#25985 := (iff #25981 #25983) -#2240 := (:var 0 T16) -#24 := (:var 2 T5) -#13 := (:var 3 T4) -#2251 := (uf_200 #13 #24 #15 #2240) -#2252 := (pattern #2251) -#2254 := (uf_196 #13 #24 #15) -#10555 := (= uf_9 #2254) -#10551 := (= uf_9 #2251) -#10558 := (iff #10551 #10555) -#10561 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2252) #10558) -#18376 := (~ #10561 #10561) -#18374 := (~ #10558 #10558) -#18375 := [refl]: #18374 -#18377 := [nnf-pos #18375]: #18376 -#2255 := (= #2254 uf_9) -#2253 := (= #2251 uf_9) -#2256 := (iff #2253 #2255) -#2257 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2252) #2256) -#10562 := (iff #2257 #10561) -#10559 := (iff #2256 #10558) -#10556 := (iff #2255 #10555) -#10557 := [rewrite]: #10556 -#10553 := (iff #2253 #10551) -#10554 := [rewrite]: #10553 -#10560 := [monotonicity #10554 #10557]: #10559 -#10563 := [quant-intro #10560]: #10562 -#10550 := [asserted]: #2257 -#10566 := [mp #10550 #10563]: #10561 -#18378 := [mp~ #10566 #18377]: #10561 -#25995 := (not #10561) -#25996 := (or #25995 #25985) -#25984 := (iff #25983 #25981) -#25997 := (or #25995 #25984) -#26025 := (iff #25997 #25996) -#26077 := (iff #25996 #25996) -#26078 := [rewrite]: #26077 -#25986 := (iff #25984 #25985) -#25987 := [rewrite]: #25986 -#26076 := [monotonicity #25987]: #26025 -#26079 := [trans #26076 #26078]: #26025 -#26023 := [quant-inst]: #25997 -#26015 := [mp #26023 #26079]: #25996 -#27937 := [unit-resolution #26015 #18378]: #25985 -#25999 := (not #25983) -#26332 := (iff #13715 #25999) -#26334 := (iff #12355 #25983) -#26301 := (iff #25983 #12355) -#27942 := (= #25982 #3009) -#27943 := [monotonicity #27941 #27941]: #27942 -#26333 := [monotonicity #27943]: #26301 -#26335 := [symm #26333]: #26334 -#26349 := [monotonicity #26335]: #26332 -#26300 := [hypothesis]: #13715 -#26350 := [mp #26300 #26349]: #25999 -#26022 := (not #25985) -#25991 := (or #26022 #26002 #25983) -#25989 := [def-axiom]: #25991 -#26348 := [unit-resolution #25989 #26350 #27937]: #26002 -#26086 := (uf_48 #25404 #25815) -#26087 := (= uf_9 #26086) -#26398 := (= #2965 #26086) -#26351 := (= #26086 #2965) -#26352 := [monotonicity #27941 #26339]: #26351 -#26399 := [symm #26352]: #26398 -#26400 := [trans #14798 #26399]: #26087 -#26089 := (uf_27 uf_273 #25404) -#26090 := (= uf_9 #26089) -#26324 := (= #2963 #26089) -#26323 := (= #26089 #2963) -#26325 := [monotonicity #27941]: #26323 -#26327 := [symm #26325]: #26324 -#14797 := [and-elim #14794]: #12302 -#26322 := [trans #14797 #26327]: #26090 -#26091 := (not #26090) -#26088 := (not #26087) -#26490 := (or #25981 #26088 #26091 #26095) -#25827 := (uf_25 uf_273 #25404) -#26084 := (= uf_26 #25827) -#26331 := (= #2967 #25827) -#26328 := (= #25827 #2967) -#26329 := [monotonicity #27941]: #26328 -#26401 := [symm #26329]: #26331 -#14799 := [and-elim #14794]: #12308 -#26403 := [trans #14799 #26401]: #26084 -#25853 := (uf_24 uf_273 #25404) -#25854 := (= uf_9 #25853) -#26391 := (= #2969 #25853) -#26388 := (= #25853 #2969) -#26402 := [monotonicity #27941]: #26388 -#26389 := [symm #26402]: #26391 -#14800 := [and-elim #14794]: #12311 -#26392 := [trans #14800 #26389]: #25854 -#25816 := (uf_22 #25815) -#25823 := (= uf_9 #25816) -#26413 := (= #2953 #25816) -#26393 := (= #25816 #2953) -#26394 := [monotonicity #26339]: #26393 -#26414 := [symm #26394]: #26413 -#14795 := [and-elim #14794]: #12293 -#26488 := [trans #14795 #26414]: #25823 -#14783 := [not-or-elim #14776]: #12338 -#14784 := [and-elim #14783]: #12332 -#47 := (:var 1 T4) -#2213 := (uf_196 #47 #26 #26) -#2214 := (pattern #2213) -#10431 := (= uf_9 #2213) -#227 := (uf_55 #47) -#3939 := (= uf_9 #227) -#19933 := (not #3939) -#150 := (uf_25 #47 #26) -#3656 := (= uf_26 #150) -#19808 := (not #3656) -#33 := (uf_15 #26) -#148 := (uf_48 #26 #33) -#3653 := (= uf_9 #148) -#19807 := (not #3653) -#146 := (uf_27 #47 #26) -#3650 := (= uf_9 #146) -#11522 := (not #3650) -#135 := (uf_24 #47 #26) -#3635 := (= uf_9 #135) -#11145 := (not #3635) -#69 := (uf_22 #33) -#3470 := (= uf_9 #69) -#11200 := (not #3470) -#34 := (uf_14 #33) -#36 := (= #34 uf_16) -#22334 := (or #36 #11200 #11145 #11522 #19807 #19808 #19933 #10431) -#22339 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #22334) -#52 := (not #36) -#10446 := (and #52 #3470 #3635 #3650 #3653 #3656 #3939) -#10449 := (not #10446) -#10455 := (or #10431 #10449) -#10460 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #10455) -#22340 := (iff #10460 #22339) -#22337 := (iff #10455 #22334) -#22320 := (or #36 #11200 #11145 #11522 #19807 #19808 #19933) -#22331 := (or #10431 #22320) -#22335 := (iff #22331 #22334) -#22336 := [rewrite]: #22335 -#22332 := (iff #10455 #22331) -#22329 := (iff #10449 #22320) -#22321 := (not #22320) -#22324 := (not #22321) -#22327 := (iff #22324 #22320) -#22328 := [rewrite]: #22327 -#22325 := (iff #10449 #22324) -#22322 := (iff #10446 #22321) -#22323 := [rewrite]: #22322 -#22326 := [monotonicity #22323]: #22325 -#22330 := [trans #22326 #22328]: #22329 -#22333 := [monotonicity #22330]: #22332 -#22338 := [trans #22333 #22336]: #22337 -#22341 := [quant-intro #22338]: #22340 -#18344 := (~ #10460 #10460) -#18342 := (~ #10455 #10455) -#18343 := [refl]: #18342 -#18345 := [nnf-pos #18343]: #18344 -#2220 := (= #2213 uf_9) -#229 := (= #227 uf_9) -#136 := (= #135 uf_9) -#230 := (and #136 #229) -#151 := (= #150 uf_26) -#2215 := (and #151 #230) -#149 := (= #148 uf_9) -#2216 := (and #149 #2215) -#147 := (= #146 uf_9) -#2217 := (and #147 #2216) -#2218 := (and #52 #2217) -#70 := (= #69 uf_9) -#2219 := (and #70 #2218) -#2221 := (implies #2219 #2220) -#2222 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #2221) -#10463 := (iff #2222 #10460) -#3943 := (and #3635 #3939) -#10415 := (and #3656 #3943) -#10419 := (and #3653 #10415) -#10422 := (and #3650 #10419) -#10425 := (and #52 #10422) -#10428 := (and #3470 #10425) -#10437 := (not #10428) -#10438 := (or #10437 #10431) -#10443 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #10438) -#10461 := (iff #10443 #10460) -#10458 := (iff #10438 #10455) -#10452 := (or #10449 #10431) -#10456 := (iff #10452 #10455) -#10457 := [rewrite]: #10456 -#10453 := (iff #10438 #10452) -#10450 := (iff #10437 #10449) -#10447 := (iff #10428 #10446) -#10448 := [rewrite]: #10447 -#10451 := [monotonicity #10448]: #10450 -#10454 := [monotonicity #10451]: #10453 -#10459 := [trans #10454 #10457]: #10458 -#10462 := [quant-intro #10459]: #10461 -#10444 := (iff #2222 #10443) -#10441 := (iff #2221 #10438) -#10434 := (implies #10428 #10431) -#10439 := (iff #10434 #10438) -#10440 := [rewrite]: #10439 -#10435 := (iff #2221 #10434) -#10432 := (iff #2220 #10431) -#10433 := [rewrite]: #10432 -#10429 := (iff #2219 #10428) -#10426 := (iff #2218 #10425) -#10423 := (iff #2217 #10422) -#10420 := (iff #2216 #10419) -#10417 := (iff #2215 #10415) -#3944 := (iff #230 #3943) -#3941 := (iff #229 #3939) -#3942 := [rewrite]: #3941 -#3637 := (iff #136 #3635) -#3638 := [rewrite]: #3637 -#3945 := [monotonicity #3638 #3942]: #3944 -#3657 := (iff #151 #3656) -#3658 := [rewrite]: #3657 -#10418 := [monotonicity #3658 #3945]: #10417 -#3654 := (iff #149 #3653) -#3655 := [rewrite]: #3654 -#10421 := [monotonicity #3655 #10418]: #10420 -#3651 := (iff #147 #3650) -#3652 := [rewrite]: #3651 -#10424 := [monotonicity #3652 #10421]: #10423 -#10427 := [monotonicity #10424]: #10426 -#3471 := (iff #70 #3470) -#3472 := [rewrite]: #3471 -#10430 := [monotonicity #3472 #10427]: #10429 -#10436 := [monotonicity #10430 #10433]: #10435 -#10442 := [trans #10436 #10440]: #10441 -#10445 := [quant-intro #10442]: #10444 -#10464 := [trans #10445 #10462]: #10463 -#10414 := [asserted]: #2222 -#10465 := [mp #10414 #10464]: #10460 -#18346 := [mp~ #10465 #18345]: #10460 -#22342 := [mp #18346 #22341]: #22339 -#26085 := (not #26084) -#25880 := (not #25854) -#25824 := (not #25823) -#23209 := (not #12332) -#26081 := (not #22339) -#26110 := (or #26081 #23209 #25824 #25880 #25981 #26085 #26088 #26091 #26095) -#26093 := (= #26092 uf_16) -#26094 := (or #26093 #25824 #25880 #26091 #26088 #26085 #23209 #25981) -#26111 := (or #26081 #26094) -#26219 := (iff #26111 #26110) -#26101 := (or #23209 #25824 #25880 #25981 #26085 #26088 #26091 #26095) -#26107 := (or #26081 #26101) -#26215 := (iff #26107 #26110) -#26218 := [rewrite]: #26215 -#26113 := (iff #26111 #26107) -#26104 := (iff #26094 #26101) -#26098 := (or #26095 #25824 #25880 #26091 #26088 #26085 #23209 #25981) -#26102 := (iff #26098 #26101) -#26103 := [rewrite]: #26102 -#26099 := (iff #26094 #26098) -#26096 := (iff #26093 #26095) -#26097 := [rewrite]: #26096 -#26100 := [monotonicity #26097]: #26099 -#26105 := [trans #26100 #26103]: #26104 -#26150 := [monotonicity #26105]: #26113 -#26181 := [trans #26150 #26218]: #26219 -#26112 := [quant-inst]: #26111 -#26165 := [mp #26112 #26181]: #26110 -#26491 := [unit-resolution #26165 #22342 #14784 #26488 #26392 #26403]: #26490 -#26493 := [unit-resolution #26491 #26322 #26400 #26348 #26307]: false -#26494 := [lemma #26493]: #12355 -#23984 := (or #13715 #23981) -#22978 := (forall (vars (?x782 int)) #22967) -#22985 := (not #22978) -#22963 := (forall (vars (?x781 int)) #22958) -#22984 := (not #22963) -#22986 := (or #22984 #22985) -#22987 := (not #22986) -#23016 := (or #22987 #23013) -#23022 := (not #23016) -#23023 := (or #12671 #12662 #12653 #12644 #22873 #14243 #14049 #23022) -#23024 := (not #23023) -#22802 := (forall (vars (?x785 int)) #22797) -#22808 := (not #22802) -#22809 := (or #22784 #22808) -#22810 := (not #22809) -#22839 := (or #22810 #22836) -#22845 := (not #22839) -#22846 := (or #14105 #22845) -#22847 := (not #22846) -#22852 := (or #14105 #22847) -#22860 := (not #22852) -#22861 := (or #12942 #22858 #19034 #22859 #14172 #19037 #22860) -#22862 := (not #22861) -#22867 := (or #19034 #19037 #22862) -#22874 := (not #22867) -#22884 := (or #13124 #13115 #13090 #19011 #19017 #13133 #13081 #14243 #22858 #22874) -#22885 := (not #22884) -#22890 := (or #19011 #19017 #22885) -#22896 := (not #22890) -#22897 := (or #19008 #19011 #22896) -#22898 := (not #22897) -#22903 := (or #19008 #19011 #22898) -#22909 := (not #22903) -#22910 := (or #22873 #14243 #14207 #22909) -#22911 := (not #22910) -#22875 := (or #13002 #12993 #22873 #14243 #22858 #14211 #22874) -#22876 := (not #22875) -#22916 := (or #22876 #22911) -#22922 := (not #22916) -#22923 := (or #19011 #19017 #22873 #14243 #22922) -#22924 := (not #22923) -#22929 := (or #19011 #19017 #22924) -#22935 := (not #22929) -#22936 := (or #19008 #19011 #22935) -#22937 := (not #22936) -#22942 := (or #19008 #19011 #22937) -#22948 := (not #22942) -#22949 := (or #22873 #14243 #14046 #22948) -#22950 := (not #22949) -#23029 := (or #22950 #23024) -#23044 := (not #23029) -#22779 := (forall (vars (?x774 int)) #22774) -#23040 := (not #22779) -#23045 := (or #13672 #13367 #13358 #13349 #13340 #23035 #23036 #23037 #14399 #15709 #13942 #22873 #14243 #14404 #14456 #23038 #23039 #23041 #23042 #23043 #23040 #23044) -#23046 := (not #23045) -#23051 := (or #13672 #13942 #23046) -#23058 := (not #23051) -#22768 := (forall (vars (?x773 int)) #22763) -#23057 := (not #22768) -#23059 := (or #23057 #23058) -#23060 := (not #23059) -#23065 := (or #22757 #23060) -#23071 := (not #23065) -#23072 := (or #13906 #23071) -#23073 := (not #23072) -#23078 := (or #13906 #23073) -#23084 := (not #23078) -#23085 := (or #13672 #13663 #13654 #13645 #18900 #18906 #23084) -#23086 := (not #23085) -#23091 := (or #18900 #18906 #23086) -#23097 := (not #23091) -#23098 := (or #18897 #18900 #23097) -#23099 := (not #23098) -#23104 := (or #18897 #18900 #23099) -#23110 := (not #23104) -#23111 := (or #13715 #23110) -#23112 := (not #23111) -#23117 := (or #13715 #23112) -#23985 := (iff #23117 #23984) -#23982 := (iff #23112 #23981) -#23979 := (iff #23111 #23978) -#23976 := (iff #23110 #23975) -#23973 := (iff #23104 #23972) -#23970 := (iff #23099 #23969) -#23967 := (iff #23098 #23966) -#23964 := (iff #23097 #23963) -#23961 := (iff #23091 #23960) -#23958 := (iff #23086 #23957) -#23955 := (iff #23085 #23954) -#23952 := (iff #23084 #23951) -#23949 := (iff #23078 #23948) -#23946 := (iff #23073 #23945) -#23943 := (iff #23072 #23942) -#23940 := (iff #23071 #23939) -#23937 := (iff #23065 #23936) -#23934 := (iff #23060 #23933) -#23931 := (iff #23059 #23930) -#23928 := (iff #23058 #23927) -#23925 := (iff #23051 #23924) -#23922 := (iff #23046 #23921) -#23919 := (iff #23045 #23918) -#23916 := (iff #23044 #23915) -#23913 := (iff #23029 #23912) -#23910 := (iff #23024 #23909) -#23907 := (iff #23023 #23906) -#23904 := (iff #23022 #23903) -#23901 := (iff #23016 #23900) -#23898 := (iff #22987 #23897) -#23895 := (iff #22986 #23894) -#23892 := (iff #22985 #23891) -#23889 := (iff #22978 #23886) -#23887 := (iff #22967 #22967) -#23888 := [refl]: #23887 -#23890 := [quant-intro #23888]: #23889 -#23893 := [monotonicity #23890]: #23892 -#23884 := (iff #22984 #23883) -#23881 := (iff #22963 #23878) -#23879 := (iff #22958 #22958) -#23880 := [refl]: #23879 -#23882 := [quant-intro #23880]: #23881 -#23885 := [monotonicity #23882]: #23884 -#23896 := [monotonicity #23885 #23893]: #23895 -#23899 := [monotonicity #23896]: #23898 -#23902 := [monotonicity #23899]: #23901 -#23905 := [monotonicity #23902]: #23904 -#23908 := [monotonicity #23905]: #23907 -#23911 := [monotonicity #23908]: #23910 -#23876 := (iff #22950 #23875) -#23873 := (iff #22949 #23872) -#23870 := (iff #22948 #23869) -#23867 := (iff #22942 #23866) -#23864 := (iff #22937 #23863) -#23861 := (iff #22936 #23860) -#23858 := (iff #22935 #23857) -#23855 := (iff #22929 #23854) -#23852 := (iff #22924 #23851) -#23849 := (iff #22923 #23848) -#23846 := (iff #22922 #23845) -#23843 := (iff #22916 #23842) -#23840 := (iff #22911 #23839) -#23837 := (iff #22910 #23836) -#23834 := (iff #22909 #23833) -#23831 := (iff #22903 #23830) -#23828 := (iff #22898 #23827) -#23825 := (iff #22897 #23824) -#23822 := (iff #22896 #23821) -#23819 := (iff #22890 #23818) -#23816 := (iff #22885 #23815) -#23813 := (iff #22884 #23812) -#23804 := (iff #22874 #23803) -#23801 := (iff #22867 #23800) -#23798 := (iff #22862 #23797) -#23795 := (iff #22861 #23794) -#23792 := (iff #22860 #23791) -#23789 := (iff #22852 #23788) -#23786 := (iff #22847 #23785) -#23783 := (iff #22846 #23782) -#23780 := (iff #22845 #23779) -#23777 := (iff #22839 #23776) -#23774 := (iff #22810 #23773) -#23771 := (iff #22809 #23770) -#23768 := (iff #22808 #23767) -#23765 := (iff #22802 #23762) -#23763 := (iff #22797 #22797) -#23764 := [refl]: #23763 -#23766 := [quant-intro #23764]: #23765 -#23769 := [monotonicity #23766]: #23768 -#23772 := [monotonicity #23769]: #23771 -#23775 := [monotonicity #23772]: #23774 -#23778 := [monotonicity #23775]: #23777 -#23781 := [monotonicity #23778]: #23780 -#23784 := [monotonicity #23781]: #23783 -#23787 := [monotonicity #23784]: #23786 -#23790 := [monotonicity #23787]: #23789 -#23793 := [monotonicity #23790]: #23792 -#23796 := [monotonicity #23793]: #23795 -#23799 := [monotonicity #23796]: #23798 -#23802 := [monotonicity #23799]: #23801 -#23805 := [monotonicity #23802]: #23804 -#23814 := [monotonicity #23805]: #23813 -#23817 := [monotonicity #23814]: #23816 -#23820 := [monotonicity #23817]: #23819 -#23823 := [monotonicity #23820]: #23822 -#23826 := [monotonicity #23823]: #23825 -#23829 := [monotonicity #23826]: #23828 -#23832 := [monotonicity #23829]: #23831 -#23835 := [monotonicity #23832]: #23834 -#23838 := [monotonicity #23835]: #23837 -#23841 := [monotonicity #23838]: #23840 -#23810 := (iff #22876 #23809) -#23807 := (iff #22875 #23806) -#23808 := [monotonicity #23805]: #23807 -#23811 := [monotonicity #23808]: #23810 -#23844 := [monotonicity #23811 #23841]: #23843 -#23847 := [monotonicity #23844]: #23846 -#23850 := [monotonicity #23847]: #23849 -#23853 := [monotonicity #23850]: #23852 -#23856 := [monotonicity #23853]: #23855 -#23859 := [monotonicity #23856]: #23858 -#23862 := [monotonicity #23859]: #23861 -#23865 := [monotonicity #23862]: #23864 -#23868 := [monotonicity #23865]: #23867 -#23871 := [monotonicity #23868]: #23870 -#23874 := [monotonicity #23871]: #23873 -#23877 := [monotonicity #23874]: #23876 -#23914 := [monotonicity #23877 #23911]: #23913 -#23917 := [monotonicity #23914]: #23916 -#23760 := (iff #23040 #23759) -#23757 := (iff #22779 #23754) -#23755 := (iff #22774 #22774) -#23756 := [refl]: #23755 -#23758 := [quant-intro #23756]: #23757 -#23761 := [monotonicity #23758]: #23760 -#23920 := [monotonicity #23761 #23917]: #23919 -#23923 := [monotonicity #23920]: #23922 -#23926 := [monotonicity #23923]: #23925 -#23929 := [monotonicity #23926]: #23928 -#23752 := (iff #23057 #23751) -#23749 := (iff #22768 #23746) -#23747 := (iff #22763 #22763) -#23748 := [refl]: #23747 -#23750 := [quant-intro #23748]: #23749 -#23753 := [monotonicity #23750]: #23752 -#23932 := [monotonicity #23753 #23929]: #23931 -#23935 := [monotonicity #23932]: #23934 -#23938 := [monotonicity #23935]: #23937 -#23941 := [monotonicity #23938]: #23940 -#23944 := [monotonicity #23941]: #23943 -#23947 := [monotonicity #23944]: #23946 -#23950 := [monotonicity #23947]: #23949 -#23953 := [monotonicity #23950]: #23952 -#23956 := [monotonicity #23953]: #23955 -#23959 := [monotonicity #23956]: #23958 -#23962 := [monotonicity #23959]: #23961 -#23965 := [monotonicity #23962]: #23964 -#23968 := [monotonicity #23965]: #23967 -#23971 := [monotonicity #23968]: #23970 -#23974 := [monotonicity #23971]: #23973 -#23977 := [monotonicity #23974]: #23976 -#23980 := [monotonicity #23977]: #23979 -#23983 := [monotonicity #23980]: #23982 -#23986 := [monotonicity #23983]: #23985 -#19548 := (and #19191 #19192) -#19551 := (not #19548) -#19554 := (or #19530 #19543 #19551) -#19557 := (not #19554) -#16489 := (and #3145 #4084 #13958 #15606) -#19214 := (not #16489) -#19217 := (forall (vars (?x782 int)) #19214) -#14858 := (and #4084 #15606) -#14857 := (not #14858) -#16475 := (or #13959 #13972 #14857) -#16480 := (forall (vars (?x781 int)) #16475) -#19221 := (and #16480 #19217) -#19563 := (or #19221 #19557) -#19571 := (and #12567 #12570 #12573 #12576 #13947 #13950 #14046 #19563) -#19392 := (and #19055 #19056) -#19395 := (not #19392) -#19398 := (or #19374 #19387 #19395) -#19401 := (not #19398) -#16376 := (or #14109 #14122 #14857) -#16381 := (forall (vars (?x785 int)) #16376) -#19071 := (not #14151) -#19081 := (and #19071 #16381) -#19407 := (or #19081 #19401) -#19412 := (and #14100 #19407) -#19415 := (or #14105 #19412) -#19423 := (and #3199 #14076 #14088 #14092 #14168 #16368 #19415) -#19428 := (or #19034 #19037 #19423) -#19454 := (and #3242 #3244 #3246 #12806 #12812 #13070 #13075 #13950 #14076 #19428) -#19459 := (or #19011 #19017 #19454) -#19465 := (and #12803 #12806 #19459) -#19470 := (or #19008 #19011 #19465) -#19476 := (and #13947 #13950 #14211 #19470) -#19434 := (and #12823 #12826 #13947 #13950 #14076 #14207 #19428) -#19481 := (or #19434 #19476) -#19487 := (and #12806 #12812 #13947 #13950 #19481) -#19492 := (or #19011 #19017 #19487) -#19498 := (and #12803 #12806 #19492) -#19503 := (or #19008 #19011 #19498) -#19509 := (and #13947 #13950 #14049 #19503) -#19576 := (or #19509 #19571) -#16293 := (or #14420 #14433 #14857) -#16298 := (forall (vars (?x774 int)) #16293) -#19582 := (and #3022 #3121 #3122 #3123 #3124 #3125 #3126 #12426 #12437 #12553 #13943 #13947 #13950 #14405 #14453 #14462 #14490 #16298 #16310 #16332 #16349 #19576) -#19587 := (or #13672 #13942 #19582) -#16279 := (or #13910 #13921 #14857) -#16284 := (forall (vars (?x773 int)) #16279) -#19590 := (and #16284 #19587) -#19303 := (and #18930 #18931) -#19306 := (not #19303) -#19312 := (or #18938 #18939 #19306) -#19317 := (not #19312) -#19593 := (or #19317 #19590) -#19596 := (and #13903 #19593) -#19599 := (or #13906 #19596) -#19605 := (and #3022 #3025 #3028 #3031 #12361 #12367 #19599) -#19610 := (or #18900 #18906 #19605) -#19616 := (and #12358 #12361 #19610) -#19621 := (or #18897 #18900 #19616) -#19624 := (and #12355 #19621) -#19627 := (or #13715 #19624) -#23118 := (iff #19627 #23117) -#23115 := (iff #19624 #23112) -#23107 := (and #12355 #23104) -#23113 := (iff #23107 #23112) -#23114 := [rewrite]: #23113 -#23108 := (iff #19624 #23107) -#23105 := (iff #19621 #23104) -#23102 := (iff #19616 #23099) -#23094 := (and #12358 #12361 #23091) -#23100 := (iff #23094 #23099) -#23101 := [rewrite]: #23100 -#23095 := (iff #19616 #23094) -#23092 := (iff #19610 #23091) -#23089 := (iff #19605 #23086) -#23081 := (and #3022 #3025 #3028 #3031 #12361 #12367 #23078) -#23087 := (iff #23081 #23086) -#23088 := [rewrite]: #23087 -#23082 := (iff #19605 #23081) -#23079 := (iff #19599 #23078) -#23076 := (iff #19596 #23073) -#23068 := (and #13903 #23065) -#23074 := (iff #23068 #23073) -#23075 := [rewrite]: #23074 -#23069 := (iff #19596 #23068) -#23066 := (iff #19593 #23065) -#23063 := (iff #19590 #23060) -#23054 := (and #22768 #23051) -#23061 := (iff #23054 #23060) -#23062 := [rewrite]: #23061 -#23055 := (iff #19590 #23054) -#23052 := (iff #19587 #23051) -#23049 := (iff #19582 #23046) -#23032 := (and #3022 #3121 #3122 #3123 #3124 #3125 #3126 #12426 #12437 #12553 #13943 #13947 #13950 #14405 #14453 #14462 #14490 #22779 #16310 #16332 #16349 #23029) -#23047 := (iff #23032 #23046) -#23048 := [rewrite]: #23047 -#23033 := (iff #19582 #23032) -#23030 := (iff #19576 #23029) -#23027 := (iff #19571 #23024) -#23019 := (and #12567 #12570 #12573 #12576 #13947 #13950 #14046 #23016) -#23025 := (iff #23019 #23024) -#23026 := [rewrite]: #23025 -#23020 := (iff #19571 #23019) -#23017 := (iff #19563 #23016) -#23014 := (iff #19557 #23013) -#23011 := (iff #19554 #23008) -#22994 := (or #22992 #22993) -#23005 := (or #19530 #19543 #22994) -#23009 := (iff #23005 #23008) -#23010 := [rewrite]: #23009 -#23006 := (iff #19554 #23005) -#23003 := (iff #19551 #22994) -#22995 := (not #22994) -#22998 := (not #22995) -#23001 := (iff #22998 #22994) -#23002 := [rewrite]: #23001 -#22999 := (iff #19551 #22998) -#22996 := (iff #19548 #22995) -#22997 := [rewrite]: #22996 -#23000 := [monotonicity #22997]: #22999 -#23004 := [trans #23000 #23002]: #23003 -#23007 := [monotonicity #23004]: #23006 -#23012 := [trans #23007 #23010]: #23011 -#23015 := [monotonicity #23012]: #23014 -#22990 := (iff #19221 #22987) -#22981 := (and #22963 #22978) -#22988 := (iff #22981 #22987) -#22989 := [rewrite]: #22988 -#22982 := (iff #19221 #22981) -#22979 := (iff #19217 #22978) -#22976 := (iff #19214 #22967) -#22968 := (not #22967) -#22971 := (not #22968) -#22974 := (iff #22971 #22967) -#22975 := [rewrite]: #22974 -#22972 := (iff #19214 #22971) -#22969 := (iff #16489 #22968) -#22970 := [rewrite]: #22969 -#22973 := [monotonicity #22970]: #22972 -#22977 := [trans #22973 #22975]: #22976 -#22980 := [quant-intro #22977]: #22979 -#22964 := (iff #16480 #22963) -#22961 := (iff #16475 #22958) -#20695 := (or #5113 #20064) -#22955 := (or #13959 #13972 #20695) -#22959 := (iff #22955 #22958) -#22960 := [rewrite]: #22959 -#22956 := (iff #16475 #22955) -#20704 := (iff #14857 #20695) -#20696 := (not #20695) -#20699 := (not #20696) -#20702 := (iff #20699 #20695) -#20703 := [rewrite]: #20702 -#20700 := (iff #14857 #20699) -#20697 := (iff #14858 #20696) -#20698 := [rewrite]: #20697 -#20701 := [monotonicity #20698]: #20700 -#20705 := [trans #20701 #20703]: #20704 -#22957 := [monotonicity #20705]: #22956 -#22962 := [trans #22957 #22960]: #22961 -#22965 := [quant-intro #22962]: #22964 -#22983 := [monotonicity #22965 #22980]: #22982 -#22991 := [trans #22983 #22989]: #22990 -#23018 := [monotonicity #22991 #23015]: #23017 -#23021 := [monotonicity #23018]: #23020 -#23028 := [trans #23021 #23026]: #23027 -#22953 := (iff #19509 #22950) -#22945 := (and #13947 #13950 #14049 #22942) -#22951 := (iff #22945 #22950) -#22952 := [rewrite]: #22951 -#22946 := (iff #19509 #22945) -#22943 := (iff #19503 #22942) -#22940 := (iff #19498 #22937) -#22932 := (and #12803 #12806 #22929) -#22938 := (iff #22932 #22937) -#22939 := [rewrite]: #22938 -#22933 := (iff #19498 #22932) -#22930 := (iff #19492 #22929) -#22927 := (iff #19487 #22924) -#22919 := (and #12806 #12812 #13947 #13950 #22916) -#22925 := (iff #22919 #22924) -#22926 := [rewrite]: #22925 -#22920 := (iff #19487 #22919) -#22917 := (iff #19481 #22916) -#22914 := (iff #19476 #22911) -#22906 := (and #13947 #13950 #14211 #22903) -#22912 := (iff #22906 #22911) -#22913 := [rewrite]: #22912 -#22907 := (iff #19476 #22906) -#22904 := (iff #19470 #22903) -#22901 := (iff #19465 #22898) -#22893 := (and #12803 #12806 #22890) -#22899 := (iff #22893 #22898) -#22900 := [rewrite]: #22899 -#22894 := (iff #19465 #22893) -#22891 := (iff #19459 #22890) -#22888 := (iff #19454 #22885) -#22881 := (and #3242 #3244 #3246 #12806 #12812 #13070 #13075 #13950 #14076 #22867) -#22886 := (iff #22881 #22885) -#22887 := [rewrite]: #22886 -#22882 := (iff #19454 #22881) -#22868 := (iff #19428 #22867) -#22865 := (iff #19423 #22862) -#22855 := (and #3199 #14076 #14088 #14092 #14168 #16368 #22852) -#22863 := (iff #22855 #22862) -#22864 := [rewrite]: #22863 -#22856 := (iff #19423 #22855) -#22853 := (iff #19415 #22852) -#22850 := (iff #19412 #22847) -#22842 := (and #14100 #22839) -#22848 := (iff #22842 #22847) -#22849 := [rewrite]: #22848 -#22843 := (iff #19412 #22842) -#22840 := (iff #19407 #22839) -#22837 := (iff #19401 #22836) -#22834 := (iff #19398 #22831) -#22817 := (or #22815 #22816) -#22828 := (or #19374 #19387 #22817) -#22832 := (iff #22828 #22831) -#22833 := [rewrite]: #22832 -#22829 := (iff #19398 #22828) -#22826 := (iff #19395 #22817) -#22818 := (not #22817) -#22821 := (not #22818) -#22824 := (iff #22821 #22817) -#22825 := [rewrite]: #22824 -#22822 := (iff #19395 #22821) -#22819 := (iff #19392 #22818) -#22820 := [rewrite]: #22819 -#22823 := [monotonicity #22820]: #22822 -#22827 := [trans #22823 #22825]: #22826 -#22830 := [monotonicity #22827]: #22829 -#22835 := [trans #22830 #22833]: #22834 -#22838 := [monotonicity #22835]: #22837 -#22813 := (iff #19081 #22810) -#22805 := (and #22783 #22802) -#22811 := (iff #22805 #22810) -#22812 := [rewrite]: #22811 -#22806 := (iff #19081 #22805) -#22803 := (iff #16381 #22802) -#22800 := (iff #16376 #22797) -#22794 := (or #14109 #14122 #20695) -#22798 := (iff #22794 #22797) -#22799 := [rewrite]: #22798 -#22795 := (iff #16376 #22794) -#22796 := [monotonicity #20705]: #22795 -#22801 := [trans #22796 #22799]: #22800 -#22804 := [quant-intro #22801]: #22803 -#22792 := (iff #19071 #22783) -#22787 := (not #22784) -#22790 := (iff #22787 #22783) -#22791 := [rewrite]: #22790 -#22788 := (iff #19071 #22787) -#22785 := (iff #14151 #22784) -#22786 := [rewrite]: #22785 -#22789 := [monotonicity #22786]: #22788 -#22793 := [trans #22789 #22791]: #22792 -#22807 := [monotonicity #22793 #22804]: #22806 -#22814 := [trans #22807 #22812]: #22813 -#22841 := [monotonicity #22814 #22838]: #22840 -#22844 := [monotonicity #22841]: #22843 -#22851 := [trans #22844 #22849]: #22850 -#22854 := [monotonicity #22851]: #22853 -#22857 := [monotonicity #22854]: #22856 -#22866 := [trans #22857 #22864]: #22865 -#22869 := [monotonicity #22866]: #22868 -#22883 := [monotonicity #22869]: #22882 -#22889 := [trans #22883 #22887]: #22888 -#22892 := [monotonicity #22889]: #22891 -#22895 := [monotonicity #22892]: #22894 -#22902 := [trans #22895 #22900]: #22901 -#22905 := [monotonicity #22902]: #22904 -#22908 := [monotonicity #22905]: #22907 -#22915 := [trans #22908 #22913]: #22914 -#22879 := (iff #19434 #22876) -#22870 := (and #12823 #12826 #13947 #13950 #14076 #14207 #22867) -#22877 := (iff #22870 #22876) -#22878 := [rewrite]: #22877 -#22871 := (iff #19434 #22870) -#22872 := [monotonicity #22869]: #22871 -#22880 := [trans #22872 #22878]: #22879 -#22918 := [monotonicity #22880 #22915]: #22917 -#22921 := [monotonicity #22918]: #22920 -#22928 := [trans #22921 #22926]: #22927 -#22931 := [monotonicity #22928]: #22930 -#22934 := [monotonicity #22931]: #22933 -#22941 := [trans #22934 #22939]: #22940 -#22944 := [monotonicity #22941]: #22943 -#22947 := [monotonicity #22944]: #22946 -#22954 := [trans #22947 #22952]: #22953 -#23031 := [monotonicity #22954 #23028]: #23030 -#22780 := (iff #16298 #22779) -#22777 := (iff #16293 #22774) -#22771 := (or #14420 #14433 #20695) -#22775 := (iff #22771 #22774) -#22776 := [rewrite]: #22775 -#22772 := (iff #16293 #22771) -#22773 := [monotonicity #20705]: #22772 -#22778 := [trans #22773 #22776]: #22777 -#22781 := [quant-intro #22778]: #22780 -#23034 := [monotonicity #22781 #23031]: #23033 -#23050 := [trans #23034 #23048]: #23049 -#23053 := [monotonicity #23050]: #23052 -#22769 := (iff #16284 #22768) -#22766 := (iff #16279 #22763) -#22760 := (or #13910 #13921 #20695) -#22764 := (iff #22760 #22763) -#22765 := [rewrite]: #22764 -#22761 := (iff #16279 #22760) -#22762 := [monotonicity #20705]: #22761 -#22767 := [trans #22762 #22765]: #22766 -#22770 := [quant-intro #22767]: #22769 -#23056 := [monotonicity #22770 #23053]: #23055 -#23064 := [trans #23056 #23062]: #23063 -#22758 := (iff #19317 #22757) -#22755 := (iff #19312 #22752) -#22738 := (or #22736 #22737) -#22749 := (or #18938 #18939 #22738) -#22753 := (iff #22749 #22752) -#22754 := [rewrite]: #22753 -#22750 := (iff #19312 #22749) -#22747 := (iff #19306 #22738) -#22739 := (not #22738) -#22742 := (not #22739) -#22745 := (iff #22742 #22738) -#22746 := [rewrite]: #22745 -#22743 := (iff #19306 #22742) -#22740 := (iff #19303 #22739) -#22741 := [rewrite]: #22740 -#22744 := [monotonicity #22741]: #22743 -#22748 := [trans #22744 #22746]: #22747 -#22751 := [monotonicity #22748]: #22750 -#22756 := [trans #22751 #22754]: #22755 -#22759 := [monotonicity #22756]: #22758 -#23067 := [monotonicity #22759 #23064]: #23066 -#23070 := [monotonicity #23067]: #23069 -#23077 := [trans #23070 #23075]: #23076 -#23080 := [monotonicity #23077]: #23079 -#23083 := [monotonicity #23080]: #23082 -#23090 := [trans #23083 #23088]: #23089 -#23093 := [monotonicity #23090]: #23092 -#23096 := [monotonicity #23093]: #23095 -#23103 := [trans #23096 #23101]: #23102 -#23106 := [monotonicity #23103]: #23105 -#23109 := [monotonicity #23106]: #23108 -#23116 := [trans #23109 #23114]: #23115 -#23119 := [monotonicity #23116]: #23118 -#19193 := (and #19192 #19191) -#19194 := (not #19193) -#19197 := (+ #19196 #13970) -#19198 := (<= #19197 0::int) -#19199 := (+ ?x781!15 #13873) -#19200 := (>= #19199 0::int) -#19201 := (or #19200 #19198 #19194) -#19202 := (not #19201) -#19225 := (or #19202 #19221) -#18978 := (not #13955) -#19185 := (not #12644) -#19182 := (not #12653) -#19179 := (not #12662) -#19176 := (not #12671) -#19229 := (and #19176 #19179 #19182 #19185 #18978 #14352 #19225) -#16407 := (and #14088 #16368) -#16412 := (not #16407) -#19097 := (not #16412) -#19057 := (and #19056 #19055) -#19058 := (not #19057) -#19061 := (+ #19060 #14120) -#19062 := (<= #19061 0::int) -#19063 := (+ ?x785!14 #14101) -#19064 := (>= #19063 0::int) -#19065 := (or #19064 #19062 #19058) -#19066 := (not #19065) -#19085 := (or #19066 #19081) -#19051 := (not #14105) -#19089 := (and #19051 #19085) -#19093 := (or #14105 #19089) -#19046 := (not #14172) -#19043 := (not #14097) -#19040 := (not #12942) -#19100 := (and #19040 #19043 #19046 #19093 #19097) -#19104 := (or #19034 #19037 #19100) -#19029 := (not #14081) -#19129 := (not #14243) -#19126 := (not #13081) -#19123 := (not #13133) -#19020 := (not #13142) -#19120 := (not #13090) -#19117 := (not #13115) -#19114 := (not #13124) -#19132 := (and #19114 #19117 #19120 #19020 #19123 #19126 #19129 #19029 #19104) -#19136 := (or #19011 #19017 #19132) -#19014 := (not #13159) -#19140 := (and #19014 #19136) -#19144 := (or #19008 #19011 #19140) -#19148 := (and #18978 #14211 #19144) -#19026 := (not #12993) -#19023 := (not #13002) -#19108 := (and #19023 #19026 #18978 #19029 #14293 #19104) -#19152 := (or #19108 #19148) -#19156 := (and #19020 #18978 #19152) -#19160 := (or #19011 #19017 #19156) -#19164 := (and #19014 #19160) -#19168 := (or #19008 #19011 #19164) -#19172 := (and #18978 #14049 #19168) -#19233 := (or #19172 #19229) -#16357 := (and #14490 #16349) -#16362 := (not #16357) -#19003 := (not #16362) -#16337 := (and #13947 #16332) -#16340 := (not #16337) -#19000 := (not #16340) -#16318 := (and #14462 #16310) -#16323 := (not #16318) -#18997 := (not #16323) -#18987 := (not #14507) -#18984 := (not #14456) -#18981 := (not #14416) -#18975 := (not #15709) -#18972 := (not #14399) -#18969 := (not #13331) -#18966 := (not #13340) -#18963 := (not #13349) -#18960 := (not #13358) -#18957 := (not #13367) -#19237 := (and #18957 #18960 #18963 #18966 #18969 #18972 #18975 #18978 #18981 #18984 #18987 #16298 #18997 #19000 #19003 #19233) -#19241 := (or #13672 #14664 #19237) -#19245 := (and #16284 #19241) -#18932 := (and #18931 #18930) -#18933 := (not #18932) -#18940 := (or #18939 #18938 #18933) -#18941 := (not #18940) -#19249 := (or #18941 #19245) -#18926 := (not #13906) -#19253 := (and #18926 #19249) -#19257 := (or #13906 #19253) -#18921 := (not #13681) -#18918 := (not #13645) -#18915 := (not #13654) -#18912 := (not #13663) -#18909 := (not #13672) -#19261 := (and #18909 #18912 #18915 #18918 #18921 #19257) -#19265 := (or #18900 #18906 #19261) -#18903 := (not #13698) -#19269 := (and #18903 #19265) -#19273 := (or #18897 #18900 #19269) -#18894 := (not #13715) -#19277 := (and #18894 #19273) -#19281 := (or #13715 #19277) -#19628 := (iff #19281 #19627) -#19625 := (iff #19277 #19624) -#19622 := (iff #19273 #19621) -#19619 := (iff #19269 #19616) -#19613 := (and #12364 #19610) -#19617 := (iff #19613 #19616) -#19618 := [rewrite]: #19617 -#19614 := (iff #19269 #19613) -#19611 := (iff #19265 #19610) -#19608 := (iff #19261 #19605) -#19602 := (and #3022 #3025 #3028 #3031 #12373 #19599) -#19606 := (iff #19602 #19605) -#19607 := [rewrite]: #19606 -#19603 := (iff #19261 #19602) -#19600 := (iff #19257 #19599) -#19597 := (iff #19253 #19596) -#19594 := (iff #19249 #19593) -#19591 := (iff #19245 #19590) -#19588 := (iff #19241 #19587) -#19585 := (iff #19237 #19582) -#19579 := (and #3121 #3122 #3123 #3124 #3127 #12437 #12553 #13952 #14411 #14453 #14502 #16298 #16318 #16337 #16357 #19576) -#19583 := (iff #19579 #19582) -#19584 := [rewrite]: #19583 -#19580 := (iff #19237 #19579) -#19577 := (iff #19233 #19576) -#19574 := (iff #19229 #19571) -#19568 := (and #12567 #12570 #12573 #12576 #13952 #14046 #19563) -#19572 := (iff #19568 #19571) -#19573 := [rewrite]: #19572 -#19569 := (iff #19229 #19568) -#19566 := (iff #19225 #19563) -#19560 := (or #19557 #19221) -#19564 := (iff #19560 #19563) -#19565 := [rewrite]: #19564 -#19561 := (iff #19225 #19560) -#19558 := (iff #19202 #19557) -#19555 := (iff #19201 #19554) -#19552 := (iff #19194 #19551) -#19549 := (iff #19193 #19548) -#19550 := [rewrite]: #19549 -#19553 := [monotonicity #19550]: #19552 -#19546 := (iff #19198 #19543) -#19535 := (+ #13970 #19196) -#19538 := (<= #19535 0::int) -#19544 := (iff #19538 #19543) -#19545 := [rewrite]: #19544 -#19539 := (iff #19198 #19538) -#19536 := (= #19197 #19535) -#19537 := [rewrite]: #19536 -#19540 := [monotonicity #19537]: #19539 -#19547 := [trans #19540 #19545]: #19546 -#19533 := (iff #19200 #19530) -#19522 := (+ #13873 ?x781!15) -#19525 := (>= #19522 0::int) -#19531 := (iff #19525 #19530) -#19532 := [rewrite]: #19531 -#19526 := (iff #19200 #19525) -#19523 := (= #19199 #19522) -#19524 := [rewrite]: #19523 -#19527 := [monotonicity #19524]: #19526 -#19534 := [trans #19527 #19532]: #19533 -#19556 := [monotonicity #19534 #19547 #19553]: #19555 -#19559 := [monotonicity #19556]: #19558 -#19562 := [monotonicity #19559]: #19561 -#19567 := [trans #19562 #19565]: #19566 -#19334 := (iff #18978 #13952) -#19335 := [rewrite]: #19334 -#19520 := (iff #19185 #12576) -#19521 := [rewrite]: #19520 -#19518 := (iff #19182 #12573) -#19519 := [rewrite]: #19518 -#19516 := (iff #19179 #12570) -#19517 := [rewrite]: #19516 -#19514 := (iff #19176 #12567) -#19515 := [rewrite]: #19514 -#19570 := [monotonicity #19515 #19517 #19519 #19521 #19335 #14356 #19567]: #19569 -#19575 := [trans #19570 #19573]: #19574 -#19512 := (iff #19172 #19509) -#19506 := (and #13952 #14049 #19503) -#19510 := (iff #19506 #19509) -#19511 := [rewrite]: #19510 -#19507 := (iff #19172 #19506) -#19504 := (iff #19168 #19503) -#19501 := (iff #19164 #19498) -#19495 := (and #12809 #19492) -#19499 := (iff #19495 #19498) -#19500 := [rewrite]: #19499 -#19496 := (iff #19164 #19495) -#19493 := (iff #19160 #19492) -#19490 := (iff #19156 #19487) -#19484 := (and #12818 #13952 #19481) -#19488 := (iff #19484 #19487) -#19489 := [rewrite]: #19488 -#19485 := (iff #19156 #19484) -#19482 := (iff #19152 #19481) -#19479 := (iff #19148 #19476) -#19473 := (and #13952 #14211 #19470) -#19477 := (iff #19473 #19476) -#19478 := [rewrite]: #19477 -#19474 := (iff #19148 #19473) -#19471 := (iff #19144 #19470) -#19468 := (iff #19140 #19465) -#19462 := (and #12809 #19459) -#19466 := (iff #19462 #19465) -#19467 := [rewrite]: #19466 -#19463 := (iff #19140 #19462) -#19460 := (iff #19136 #19459) -#19457 := (iff #19132 #19454) -#19451 := (and #3242 #3244 #3246 #12818 #13070 #13075 #13950 #14078 #19428) -#19455 := (iff #19451 #19454) -#19456 := [rewrite]: #19455 -#19452 := (iff #19132 #19451) -#19429 := (iff #19104 #19428) -#19426 := (iff #19100 #19423) -#19420 := (and #3199 #14094 #14168 #19415 #16407) -#19424 := (iff #19420 #19423) -#19425 := [rewrite]: #19424 -#19421 := (iff #19100 #19420) -#19418 := (iff #19097 #16407) -#19419 := [rewrite]: #19418 -#19416 := (iff #19093 #19415) -#19413 := (iff #19089 #19412) -#19410 := (iff #19085 #19407) -#19404 := (or #19401 #19081) -#19408 := (iff #19404 #19407) -#19409 := [rewrite]: #19408 -#19405 := (iff #19085 #19404) -#19402 := (iff #19066 #19401) -#19399 := (iff #19065 #19398) -#19396 := (iff #19058 #19395) -#19393 := (iff #19057 #19392) -#19394 := [rewrite]: #19393 -#19397 := [monotonicity #19394]: #19396 -#19390 := (iff #19062 #19387) -#19379 := (+ #14120 #19060) -#19382 := (<= #19379 0::int) -#19388 := (iff #19382 #19387) -#19389 := [rewrite]: #19388 -#19383 := (iff #19062 #19382) -#19380 := (= #19061 #19379) -#19381 := [rewrite]: #19380 -#19384 := [monotonicity #19381]: #19383 -#19391 := [trans #19384 #19389]: #19390 -#19377 := (iff #19064 #19374) -#19366 := (+ #14101 ?x785!14) -#19369 := (>= #19366 0::int) -#19375 := (iff #19369 #19374) -#19376 := [rewrite]: #19375 -#19370 := (iff #19064 #19369) -#19367 := (= #19063 #19366) -#19368 := [rewrite]: #19367 -#19371 := [monotonicity #19368]: #19370 -#19378 := [trans #19371 #19376]: #19377 -#19400 := [monotonicity #19378 #19391 #19397]: #19399 -#19403 := [monotonicity #19400]: #19402 -#19406 := [monotonicity #19403]: #19405 -#19411 := [trans #19406 #19409]: #19410 -#19364 := (iff #19051 #14100) -#19365 := [rewrite]: #19364 -#19414 := [monotonicity #19365 #19411]: #19413 -#19417 := [monotonicity #19414]: #19416 -#19362 := (iff #19046 #14168) -#19363 := [rewrite]: #19362 -#19360 := (iff #19043 #14094) -#19361 := [rewrite]: #19360 -#19358 := (iff #19040 #3199) -#19359 := [rewrite]: #19358 -#19422 := [monotonicity #19359 #19361 #19363 #19417 #19419]: #19421 -#19427 := [trans #19422 #19425]: #19426 -#19430 := [monotonicity #19427]: #19429 -#19356 := (iff #19029 #14078) -#19357 := [rewrite]: #19356 -#19449 := (iff #19129 #13950) -#19450 := [rewrite]: #19449 -#19447 := (iff #19126 #13075) -#19448 := [rewrite]: #19447 -#19445 := (iff #19123 #13070) -#19446 := [rewrite]: #19445 -#19350 := (iff #19020 #12818) -#19351 := [rewrite]: #19350 -#19443 := (iff #19120 #3246) -#19444 := [rewrite]: #19443 -#19441 := (iff #19117 #3244) -#19442 := [rewrite]: #19441 -#19439 := (iff #19114 #3242) -#19440 := [rewrite]: #19439 -#19453 := [monotonicity #19440 #19442 #19444 #19351 #19446 #19448 #19450 #19357 #19430]: #19452 -#19458 := [trans #19453 #19456]: #19457 -#19461 := [monotonicity #19458]: #19460 -#19348 := (iff #19014 #12809) -#19349 := [rewrite]: #19348 -#19464 := [monotonicity #19349 #19461]: #19463 -#19469 := [trans #19464 #19467]: #19468 -#19472 := [monotonicity #19469]: #19471 -#19475 := [monotonicity #19335 #19472]: #19474 -#19480 := [trans #19475 #19478]: #19479 -#19437 := (iff #19108 #19434) -#19431 := (and #12823 #12826 #13952 #14078 #14207 #19428) -#19435 := (iff #19431 #19434) -#19436 := [rewrite]: #19435 -#19432 := (iff #19108 #19431) -#19354 := (iff #19026 #12826) -#19355 := [rewrite]: #19354 -#19352 := (iff #19023 #12823) -#19353 := [rewrite]: #19352 -#19433 := [monotonicity #19353 #19355 #19335 #19357 #14297 #19430]: #19432 -#19438 := [trans #19433 #19436]: #19437 -#19483 := [monotonicity #19438 #19480]: #19482 -#19486 := [monotonicity #19351 #19335 #19483]: #19485 -#19491 := [trans #19486 #19489]: #19490 -#19494 := [monotonicity #19491]: #19493 -#19497 := [monotonicity #19349 #19494]: #19496 -#19502 := [trans #19497 #19500]: #19501 -#19505 := [monotonicity #19502]: #19504 -#19508 := [monotonicity #19335 #19505]: #19507 -#19513 := [trans #19508 #19511]: #19512 -#19578 := [monotonicity #19513 #19575]: #19577 -#19346 := (iff #19003 #16357) -#19347 := [rewrite]: #19346 -#19344 := (iff #19000 #16337) -#19345 := [rewrite]: #19344 -#19342 := (iff #18997 #16318) -#19343 := [rewrite]: #19342 -#19340 := (iff #18987 #14502) -#19341 := [rewrite]: #19340 -#19338 := (iff #18984 #14453) -#19339 := [rewrite]: #19338 -#19336 := (iff #18981 #14411) -#19337 := [rewrite]: #19336 -#19332 := (iff #18975 #12553) -#19333 := [rewrite]: #19332 -#19330 := (iff #18972 #12437) -#19331 := [rewrite]: #19330 -#19328 := (iff #18969 #3127) -#19329 := [rewrite]: #19328 -#19326 := (iff #18966 #3124) -#19327 := [rewrite]: #19326 -#19324 := (iff #18963 #3123) -#19325 := [rewrite]: #19324 -#19322 := (iff #18960 #3122) -#19323 := [rewrite]: #19322 -#19320 := (iff #18957 #3121) -#19321 := [rewrite]: #19320 -#19581 := [monotonicity #19321 #19323 #19325 #19327 #19329 #19331 #19333 #19335 #19337 #19339 #19341 #19343 #19345 #19347 #19578]: #19580 -#19586 := [trans #19581 #19584]: #19585 -#19589 := [monotonicity #14668 #19586]: #19588 -#19592 := [monotonicity #19589]: #19591 -#19318 := (iff #18941 #19317) -#19315 := (iff #18940 #19312) -#19309 := (or #18939 #18938 #19306) -#19313 := (iff #19309 #19312) -#19314 := [rewrite]: #19313 -#19310 := (iff #18940 #19309) -#19307 := (iff #18933 #19306) -#19304 := (iff #18932 #19303) -#19305 := [rewrite]: #19304 -#19308 := [monotonicity #19305]: #19307 -#19311 := [monotonicity #19308]: #19310 -#19316 := [trans #19311 #19314]: #19315 -#19319 := [monotonicity #19316]: #19318 -#19595 := [monotonicity #19319 #19592]: #19594 -#19301 := (iff #18926 #13903) -#19302 := [rewrite]: #19301 -#19598 := [monotonicity #19302 #19595]: #19597 -#19601 := [monotonicity #19598]: #19600 -#19299 := (iff #18921 #12373) -#19300 := [rewrite]: #19299 -#19297 := (iff #18918 #3031) -#19298 := [rewrite]: #19297 -#19295 := (iff #18915 #3028) -#19296 := [rewrite]: #19295 -#19293 := (iff #18912 #3025) -#19294 := [rewrite]: #19293 -#19291 := (iff #18909 #3022) -#19292 := [rewrite]: #19291 -#19604 := [monotonicity #19292 #19294 #19296 #19298 #19300 #19601]: #19603 -#19609 := [trans #19604 #19607]: #19608 -#19612 := [monotonicity #19609]: #19611 -#19289 := (iff #18903 #12364) -#19290 := [rewrite]: #19289 -#19615 := [monotonicity #19290 #19612]: #19614 -#19620 := [trans #19615 #19618]: #19619 -#19623 := [monotonicity #19620]: #19622 -#19287 := (iff #18894 #12355) -#19288 := [rewrite]: #19287 -#19626 := [monotonicity #19288 #19623]: #19625 -#19629 := [monotonicity #19626]: #19628 -#16494 := (exists (vars (?x782 int)) #16489) -#16483 := (not #16480) -#16497 := (or #16483 #16494) -#16500 := (and #16480 #16497) -#16506 := (or #12671 #12662 #12653 #12644 #13955 #14049 #16500) -#16384 := (not #16381) -#16390 := (or #14151 #16384) -#16395 := (and #16381 #16390) -#16398 := (or #14105 #16395) -#16401 := (and #14100 #16398) -#16418 := (or #12942 #14097 #14172 #16401 #16412) -#16426 := (and #14088 #16368 #16418) -#16439 := (or #13124 #13115 #13090 #13142 #13133 #13081 #14243 #14081 #16426) -#16442 := (and #12806 #12812 #16439) -#16445 := (or #13159 #16442) -#16448 := (and #12803 #12806 #16445) -#16451 := (or #13955 #14207 #16448) -#16434 := (or #13002 #12993 #13955 #14081 #14211 #16426) -#16454 := (and #16434 #16451) -#16457 := (or #13142 #13955 #16454) -#16460 := (and #12806 #12812 #16457) -#16463 := (or #13159 #16460) -#16466 := (and #12803 #12806 #16463) -#16469 := (or #13955 #14046 #16466) -#16511 := (and #16469 #16506) -#16301 := (not #16298) -#16517 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #14456 #14507 #16301 #16323 #16340 #16362 #16511) -#16522 := (and #3022 #13943 #16517) -#16287 := (not #16284) -#16525 := (or #16287 #16522) -#16528 := (and #16284 #16525) -#16531 := (or #13906 #16528) -#16534 := (and #13903 #16531) -#16537 := (or #13672 #13663 #13654 #13645 #13681 #16534) -#16540 := (and #12361 #12367 #16537) -#16543 := (or #13698 #16540) -#16546 := (and #12358 #12361 #16543) -#16549 := (or #13715 #16546) -#16552 := (and #12355 #16549) -#16555 := (not #16552) -#19282 := (~ #16555 #19281) -#19278 := (not #16549) -#19279 := (~ #19278 #19277) -#19274 := (not #16546) -#19275 := (~ #19274 #19273) -#19270 := (not #16543) -#19271 := (~ #19270 #19269) -#19266 := (not #16540) -#19267 := (~ #19266 #19265) -#19262 := (not #16537) -#19263 := (~ #19262 #19261) -#19258 := (not #16534) -#19259 := (~ #19258 #19257) -#19254 := (not #16531) -#19255 := (~ #19254 #19253) -#19250 := (not #16528) -#19251 := (~ #19250 #19249) -#19246 := (not #16525) -#19247 := (~ #19246 #19245) -#19242 := (not #16522) -#19243 := (~ #19242 #19241) -#19238 := (not #16517) -#19239 := (~ #19238 #19237) -#19234 := (not #16511) -#19235 := (~ #19234 #19233) -#19230 := (not #16506) -#19231 := (~ #19230 #19229) -#19226 := (not #16500) -#19227 := (~ #19226 #19225) -#19222 := (not #16497) -#19223 := (~ #19222 #19221) -#19218 := (not #16494) -#19219 := (~ #19218 #19217) -#19215 := (~ #19214 #19214) -#19216 := [refl]: #19215 -#19220 := [nnf-neg #19216]: #19219 -#19211 := (not #16483) -#19212 := (~ #19211 #16480) -#19209 := (~ #16480 #16480) -#19207 := (~ #16475 #16475) -#19208 := [refl]: #19207 -#19210 := [nnf-pos #19208]: #19209 -#19213 := [nnf-neg #19210]: #19212 -#19224 := [nnf-neg #19213 #19220]: #19223 -#19203 := (~ #16483 #19202) -#19204 := [sk]: #19203 -#19228 := [nnf-neg #19204 #19224]: #19227 -#19188 := (~ #14352 #14352) -#19189 := [refl]: #19188 -#18979 := (~ #18978 #18978) -#18980 := [refl]: #18979 -#19186 := (~ #19185 #19185) -#19187 := [refl]: #19186 -#19183 := (~ #19182 #19182) -#19184 := [refl]: #19183 -#19180 := (~ #19179 #19179) -#19181 := [refl]: #19180 -#19177 := (~ #19176 #19176) -#19178 := [refl]: #19177 -#19232 := [nnf-neg #19178 #19181 #19184 #19187 #18980 #19189 #19228]: #19231 -#19173 := (not #16469) -#19174 := (~ #19173 #19172) -#19169 := (not #16466) -#19170 := (~ #19169 #19168) -#19165 := (not #16463) -#19166 := (~ #19165 #19164) -#19161 := (not #16460) -#19162 := (~ #19161 #19160) -#19157 := (not #16457) -#19158 := (~ #19157 #19156) -#19153 := (not #16454) -#19154 := (~ #19153 #19152) -#19149 := (not #16451) -#19150 := (~ #19149 #19148) -#19145 := (not #16448) -#19146 := (~ #19145 #19144) -#19141 := (not #16445) -#19142 := (~ #19141 #19140) -#19137 := (not #16442) -#19138 := (~ #19137 #19136) -#19133 := (not #16439) -#19134 := (~ #19133 #19132) -#19105 := (not #16426) -#19106 := (~ #19105 #19104) -#19101 := (not #16418) -#19102 := (~ #19101 #19100) -#19098 := (~ #19097 #19097) -#19099 := [refl]: #19098 -#19094 := (not #16401) -#19095 := (~ #19094 #19093) -#19090 := (not #16398) -#19091 := (~ #19090 #19089) -#19086 := (not #16395) -#19087 := (~ #19086 #19085) -#19082 := (not #16390) -#19083 := (~ #19082 #19081) -#19078 := (not #16384) -#19079 := (~ #19078 #16381) -#19076 := (~ #16381 #16381) -#19074 := (~ #16376 #16376) -#19075 := [refl]: #19074 -#19077 := [nnf-pos #19075]: #19076 -#19080 := [nnf-neg #19077]: #19079 -#19072 := (~ #19071 #19071) -#19073 := [refl]: #19072 -#19084 := [nnf-neg #19073 #19080]: #19083 -#19067 := (~ #16384 #19066) -#19068 := [sk]: #19067 -#19088 := [nnf-neg #19068 #19084]: #19087 -#19052 := (~ #19051 #19051) -#19053 := [refl]: #19052 -#19092 := [nnf-neg #19053 #19088]: #19091 -#19049 := (~ #14105 #14105) -#19050 := [refl]: #19049 -#19096 := [nnf-neg #19050 #19092]: #19095 -#19047 := (~ #19046 #19046) -#19048 := [refl]: #19047 -#19044 := (~ #19043 #19043) -#19045 := [refl]: #19044 -#19041 := (~ #19040 #19040) -#19042 := [refl]: #19041 -#19103 := [nnf-neg #19042 #19045 #19048 #19096 #19099]: #19102 -#19038 := (~ #19037 #19037) -#19039 := [refl]: #19038 -#19035 := (~ #19034 #19034) -#19036 := [refl]: #19035 -#19107 := [nnf-neg #19036 #19039 #19103]: #19106 -#19030 := (~ #19029 #19029) -#19031 := [refl]: #19030 -#19130 := (~ #19129 #19129) -#19131 := [refl]: #19130 -#19127 := (~ #19126 #19126) -#19128 := [refl]: #19127 -#19124 := (~ #19123 #19123) -#19125 := [refl]: #19124 -#19021 := (~ #19020 #19020) -#19022 := [refl]: #19021 -#19121 := (~ #19120 #19120) -#19122 := [refl]: #19121 -#19118 := (~ #19117 #19117) -#19119 := [refl]: #19118 -#19115 := (~ #19114 #19114) -#19116 := [refl]: #19115 -#19135 := [nnf-neg #19116 #19119 #19122 #19022 #19125 #19128 #19131 #19031 #19107]: #19134 -#19018 := (~ #19017 #19017) -#19019 := [refl]: #19018 -#19012 := (~ #19011 #19011) -#19013 := [refl]: #19012 -#19139 := [nnf-neg #19013 #19019 #19135]: #19138 -#19015 := (~ #19014 #19014) -#19016 := [refl]: #19015 -#19143 := [nnf-neg #19016 #19139]: #19142 -#19009 := (~ #19008 #19008) -#19010 := [refl]: #19009 -#19147 := [nnf-neg #19010 #19013 #19143]: #19146 -#19112 := (~ #14211 #14211) -#19113 := [refl]: #19112 -#19151 := [nnf-neg #18980 #19113 #19147]: #19150 -#19109 := (not #16434) -#19110 := (~ #19109 #19108) -#19032 := (~ #14293 #14293) -#19033 := [refl]: #19032 -#19027 := (~ #19026 #19026) -#19028 := [refl]: #19027 -#19024 := (~ #19023 #19023) -#19025 := [refl]: #19024 -#19111 := [nnf-neg #19025 #19028 #18980 #19031 #19033 #19107]: #19110 -#19155 := [nnf-neg #19111 #19151]: #19154 -#19159 := [nnf-neg #19022 #18980 #19155]: #19158 -#19163 := [nnf-neg #19013 #19019 #19159]: #19162 -#19167 := [nnf-neg #19016 #19163]: #19166 -#19171 := [nnf-neg #19010 #19013 #19167]: #19170 -#19006 := (~ #14049 #14049) -#19007 := [refl]: #19006 -#19175 := [nnf-neg #18980 #19007 #19171]: #19174 -#19236 := [nnf-neg #19175 #19232]: #19235 -#19004 := (~ #19003 #19003) -#19005 := [refl]: #19004 -#19001 := (~ #19000 #19000) -#19002 := [refl]: #19001 -#18998 := (~ #18997 #18997) -#18999 := [refl]: #18998 -#18994 := (not #16301) -#18995 := (~ #18994 #16298) -#18992 := (~ #16298 #16298) -#18990 := (~ #16293 #16293) -#18991 := [refl]: #18990 -#18993 := [nnf-pos #18991]: #18992 -#18996 := [nnf-neg #18993]: #18995 -#18988 := (~ #18987 #18987) -#18989 := [refl]: #18988 -#18985 := (~ #18984 #18984) -#18986 := [refl]: #18985 -#18982 := (~ #18981 #18981) -#18983 := [refl]: #18982 -#18976 := (~ #18975 #18975) -#18977 := [refl]: #18976 -#18973 := (~ #18972 #18972) -#18974 := [refl]: #18973 -#18970 := (~ #18969 #18969) -#18971 := [refl]: #18970 -#18967 := (~ #18966 #18966) -#18968 := [refl]: #18967 -#18964 := (~ #18963 #18963) -#18965 := [refl]: #18964 -#18961 := (~ #18960 #18960) -#18962 := [refl]: #18961 -#18958 := (~ #18957 #18957) -#18959 := [refl]: #18958 -#19240 := [nnf-neg #18959 #18962 #18965 #18968 #18971 #18974 #18977 #18980 #18983 #18986 #18989 #18996 #18999 #19002 #19005 #19236]: #19239 -#18955 := (~ #14664 #14664) -#18956 := [refl]: #18955 -#18953 := (~ #13672 #13672) -#18954 := [refl]: #18953 -#19244 := [nnf-neg #18954 #18956 #19240]: #19243 -#18950 := (not #16287) -#18951 := (~ #18950 #16284) -#18948 := (~ #16284 #16284) -#18946 := (~ #16279 #16279) -#18947 := [refl]: #18946 -#18949 := [nnf-pos #18947]: #18948 -#18952 := [nnf-neg #18949]: #18951 -#19248 := [nnf-neg #18952 #19244]: #19247 -#18942 := (~ #16287 #18941) -#18943 := [sk]: #18942 -#19252 := [nnf-neg #18943 #19248]: #19251 -#18927 := (~ #18926 #18926) -#18928 := [refl]: #18927 -#19256 := [nnf-neg #18928 #19252]: #19255 -#18924 := (~ #13906 #13906) -#18925 := [refl]: #18924 -#19260 := [nnf-neg #18925 #19256]: #19259 -#18922 := (~ #18921 #18921) -#18923 := [refl]: #18922 -#18919 := (~ #18918 #18918) -#18920 := [refl]: #18919 -#18916 := (~ #18915 #18915) -#18917 := [refl]: #18916 -#18913 := (~ #18912 #18912) -#18914 := [refl]: #18913 -#18910 := (~ #18909 #18909) -#18911 := [refl]: #18910 -#19264 := [nnf-neg #18911 #18914 #18917 #18920 #18923 #19260]: #19263 -#18907 := (~ #18906 #18906) -#18908 := [refl]: #18907 -#18901 := (~ #18900 #18900) -#18902 := [refl]: #18901 -#19268 := [nnf-neg #18902 #18908 #19264]: #19267 -#18904 := (~ #18903 #18903) -#18905 := [refl]: #18904 -#19272 := [nnf-neg #18905 #19268]: #19271 -#18898 := (~ #18897 #18897) -#18899 := [refl]: #18898 -#19276 := [nnf-neg #18899 #18902 #19272]: #19275 -#18895 := (~ #18894 #18894) -#18896 := [refl]: #18895 -#19280 := [nnf-neg #18896 #19276]: #19279 -#18892 := (~ #13715 #13715) -#18893 := [refl]: #18892 -#19283 := [nnf-neg #18893 #19280]: #19282 -#15734 := (or #12671 #12662 #12653 #12644 #13955 #14009 #14049) -#15742 := (and #14371 #15734) -#15750 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #14450 #14456 #14468 #14483 #14496 #14507 #15742) -#15755 := (and #3022 #13943 #15750) -#15758 := (or #13939 #15755) -#15761 := (and #13936 #15758) -#15764 := (or #13906 #15761) -#15767 := (and #13903 #15764) -#15770 := (or #13672 #13663 #13654 #13645 #13681 #15767) -#15773 := (and #12361 #12367 #15770) -#15776 := (or #13698 #15773) -#15779 := (and #12358 #12361 #15776) -#15782 := (or #13715 #15779) -#15785 := (and #12355 #15782) -#15788 := (not #15785) -#16556 := (iff #15788 #16555) -#16553 := (iff #15785 #16552) -#16550 := (iff #15782 #16549) -#16547 := (iff #15779 #16546) -#16544 := (iff #15776 #16543) -#16541 := (iff #15773 #16540) -#16538 := (iff #15770 #16537) -#16535 := (iff #15767 #16534) -#16532 := (iff #15764 #16531) -#16529 := (iff #15761 #16528) -#16526 := (iff #15758 #16525) -#16523 := (iff #15755 #16522) -#16520 := (iff #15750 #16517) -#16514 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #16301 #14456 #16323 #16340 #16362 #14507 #16511) -#16518 := (iff #16514 #16517) -#16519 := [rewrite]: #16518 -#16515 := (iff #15750 #16514) -#16512 := (iff #15742 #16511) -#16509 := (iff #15734 #16506) -#16503 := (or #12671 #12662 #12653 #12644 #13955 #16500 #14049) -#16507 := (iff #16503 #16506) -#16508 := [rewrite]: #16507 -#16504 := (iff #15734 #16503) -#16501 := (iff #14009 #16500) -#16498 := (iff #14006 #16497) -#16495 := (iff #14003 #16494) -#16492 := (iff #13998 #16489) -#16486 := (and #3145 #4084 #15606 #13958) -#16490 := (iff #16486 #16489) -#16491 := [rewrite]: #16490 -#16487 := (iff #13998 #16486) -#15605 := (iff #4419 #15606) -#15638 := -131073::int -#15614 := (+ -131073::int #161) -#15611 := (<= #15614 0::int) -#15607 := (iff #15611 #15606) -#15604 := [rewrite]: #15607 -#15608 := (iff #4419 #15611) -#15613 := (= #4418 #15614) -#15619 := (+ #161 -131073::int) -#15615 := (= #15619 #15614) -#15612 := [rewrite]: #15615 -#15616 := (= #4418 #15619) -#15637 := (= #4413 -131073::int) -#15643 := (* -1::int 131073::int) -#15639 := (= #15643 -131073::int) -#15636 := [rewrite]: #15639 -#15640 := (= #4413 #15643) -#7883 := (= uf_76 131073::int) -#1070 := 65536::int -#1313 := (+ 65536::int 65536::int) -#1318 := (+ #1313 1::int) -#1319 := (= uf_76 #1318) -#7884 := (iff #1319 #7883) -#7881 := (= #1318 131073::int) -#7874 := (+ 131072::int 1::int) -#7879 := (= #7874 131073::int) -#7880 := [rewrite]: #7879 -#7876 := (= #1318 #7874) -#7845 := (= #1313 131072::int) -#7846 := [rewrite]: #7845 -#7877 := [monotonicity #7846]: #7876 -#7882 := [trans #7877 #7880]: #7881 -#7885 := [monotonicity #7882]: #7884 -#7873 := [asserted]: #1319 -#7888 := [mp #7873 #7885]: #7883 -#15641 := [monotonicity #7888]: #15640 -#15634 := [trans #15641 #15636]: #15637 -#15617 := [monotonicity #15634]: #15616 -#15610 := [trans #15617 #15612]: #15613 -#15609 := [monotonicity #15610]: #15608 -#15602 := [trans #15609 #15604]: #15605 -#16488 := [monotonicity #15602]: #16487 -#16493 := [trans #16488 #16491]: #16492 -#16496 := [quant-intro #16493]: #16495 -#16484 := (iff #13989 #16483) -#16481 := (iff #13986 #16480) -#16478 := (iff #13981 #16475) -#16472 := (or #14857 #13959 #13972) -#16476 := (iff #16472 #16475) -#16477 := [rewrite]: #16476 -#16473 := (iff #13981 #16472) -#14854 := (iff #5739 #14857) -#14859 := (iff #5736 #14858) -#14856 := [monotonicity #15602]: #14859 -#14855 := [monotonicity #14856]: #14854 -#16474 := [monotonicity #14855]: #16473 -#16479 := [trans #16474 #16477]: #16478 -#16482 := [quant-intro #16479]: #16481 -#16485 := [monotonicity #16482]: #16484 -#16499 := [monotonicity #16485 #16496]: #16498 -#16502 := [monotonicity #16482 #16499]: #16501 -#16505 := [monotonicity #16502]: #16504 -#16510 := [trans #16505 #16508]: #16509 -#16470 := (iff #14371 #16469) -#16467 := (iff #14345 #16466) -#16464 := (iff #14339 #16463) -#16461 := (iff #14334 #16460) -#16458 := (iff #14326 #16457) -#16455 := (iff #14317 #16454) -#16452 := (iff #14312 #16451) -#16449 := (iff #14286 #16448) -#16446 := (iff #14280 #16445) -#16443 := (iff #14275 #16442) -#16440 := (iff #14267 #16439) -#16429 := (iff #14201 #16426) -#16423 := (and #16368 #14088 #16418) -#16427 := (iff #16423 #16426) -#16428 := [rewrite]: #16427 -#16424 := (iff #14201 #16423) -#16421 := (iff #14193 #16418) -#16415 := (or #12942 #14097 #16401 #14172 #16412) -#16419 := (iff #16415 #16418) -#16420 := [rewrite]: #16419 -#16416 := (iff #14193 #16415) -#16413 := (iff #14178 #16412) -#16410 := (iff #14175 #16407) -#16404 := (and #16368 #14088) -#16408 := (iff #16404 #16407) -#16409 := [rewrite]: #16408 -#16405 := (iff #14175 #16404) -#16371 := (iff #14084 #16368) -#16304 := (+ 131073::int #14044) -#16365 := (>= #16304 1::int) -#16369 := (iff #16365 #16368) -#16370 := [rewrite]: #16369 -#16366 := (iff #14084 #16365) -#16305 := (= #14085 #16304) -#16306 := [monotonicity #7888]: #16305 -#16367 := [monotonicity #16306]: #16366 -#16372 := [trans #16367 #16370]: #16371 -#16406 := [monotonicity #16372]: #16405 -#16411 := [trans #16406 #16409]: #16410 -#16414 := [monotonicity #16411]: #16413 -#16402 := (iff #14165 #16401) -#16399 := (iff #14162 #16398) -#16396 := (iff #14159 #16395) -#16393 := (iff #14156 #16390) -#16387 := (or #16384 #14151) -#16391 := (iff #16387 #16390) -#16392 := [rewrite]: #16391 -#16388 := (iff #14156 #16387) -#16385 := (iff #14139 #16384) -#16382 := (iff #14136 #16381) -#16379 := (iff #14131 #16376) -#16373 := (or #14857 #14109 #14122) -#16377 := (iff #16373 #16376) -#16378 := [rewrite]: #16377 -#16374 := (iff #14131 #16373) -#16375 := [monotonicity #14855]: #16374 -#16380 := [trans #16375 #16378]: #16379 -#16383 := [quant-intro #16380]: #16382 -#16386 := [monotonicity #16383]: #16385 -#16389 := [monotonicity #16386]: #16388 -#16394 := [trans #16389 #16392]: #16393 -#16397 := [monotonicity #16383 #16394]: #16396 -#16400 := [monotonicity #16397]: #16399 -#16403 := [monotonicity #16400]: #16402 -#16417 := [monotonicity #16403 #16414]: #16416 -#16422 := [trans #16417 #16420]: #16421 -#16425 := [monotonicity #16372 #16422]: #16424 -#16430 := [trans #16425 #16428]: #16429 -#16441 := [monotonicity #16430]: #16440 -#16444 := [monotonicity #16441]: #16443 -#16447 := [monotonicity #16444]: #16446 -#16450 := [monotonicity #16447]: #16449 -#16453 := [monotonicity #16450]: #16452 -#16437 := (iff #14238 #16434) -#16431 := (or #13002 #12993 #13955 #14081 #16426 #14211) -#16435 := (iff #16431 #16434) -#16436 := [rewrite]: #16435 -#16432 := (iff #14238 #16431) -#16433 := [monotonicity #16430]: #16432 -#16438 := [trans #16433 #16436]: #16437 -#16456 := [monotonicity #16438 #16453]: #16455 -#16459 := [monotonicity #16456]: #16458 -#16462 := [monotonicity #16459]: #16461 -#16465 := [monotonicity #16462]: #16464 -#16468 := [monotonicity #16465]: #16467 -#16471 := [monotonicity #16468]: #16470 -#16513 := [monotonicity #16471 #16510]: #16512 -#16363 := (iff #14496 #16362) -#16360 := (iff #14493 #16357) -#16354 := (and #16349 #14490) -#16358 := (iff #16354 #16357) -#16359 := [rewrite]: #16358 -#16355 := (iff #14493 #16354) -#16352 := (iff #14486 #16349) -#16343 := (+ 255::int #14431) -#16346 := (>= #16343 0::int) -#16350 := (iff #16346 #16349) -#16351 := [rewrite]: #16350 -#16347 := (iff #14486 #16346) -#16344 := (= #14487 #16343) -#1323 := (= uf_78 255::int) -#7887 := [asserted]: #1323 -#16345 := [monotonicity #7887]: #16344 -#16348 := [monotonicity #16345]: #16347 -#16353 := [trans #16348 #16351]: #16352 -#16356 := [monotonicity #16353]: #16355 -#16361 := [trans #16356 #16359]: #16360 -#16364 := [monotonicity #16361]: #16363 -#16341 := (iff #14483 #16340) -#16338 := (iff #14478 #16337) -#16335 := (iff #14471 #16332) -#16326 := (+ 131073::int #14402) -#16329 := (>= #16326 0::int) -#16333 := (iff #16329 #16332) -#16334 := [rewrite]: #16333 -#16330 := (iff #14471 #16329) -#16327 := (= #14472 #16326) -#16328 := [monotonicity #7888]: #16327 -#16331 := [monotonicity #16328]: #16330 -#16336 := [trans #16331 #16334]: #16335 -#16339 := [monotonicity #16336]: #16338 -#16342 := [monotonicity #16339]: #16341 -#16324 := (iff #14468 #16323) -#16321 := (iff #14465 #16318) -#16315 := (and #16310 #14462) -#16319 := (iff #16315 #16318) -#16320 := [rewrite]: #16319 -#16316 := (iff #14465 #16315) -#16313 := (iff #14459 #16310) -#16307 := (>= #16304 0::int) -#16311 := (iff #16307 #16310) -#16312 := [rewrite]: #16311 -#16308 := (iff #14459 #16307) -#16309 := [monotonicity #16306]: #16308 -#16314 := [trans #16309 #16312]: #16313 -#16317 := [monotonicity #16314]: #16316 -#16322 := [trans #16317 #16320]: #16321 -#16325 := [monotonicity #16322]: #16324 -#16302 := (iff #14450 #16301) -#16299 := (iff #14447 #16298) -#16296 := (iff #14442 #16293) -#16290 := (or #14857 #14420 #14433) -#16294 := (iff #16290 #16293) -#16295 := [rewrite]: #16294 -#16291 := (iff #14442 #16290) -#16292 := [monotonicity #14855]: #16291 -#16297 := [trans #16292 #16295]: #16296 -#16300 := [quant-intro #16297]: #16299 -#16303 := [monotonicity #16300]: #16302 -#16516 := [monotonicity #16303 #16325 #16342 #16364 #16513]: #16515 -#16521 := [trans #16516 #16519]: #16520 -#16524 := [monotonicity #16521]: #16523 -#16288 := (iff #13939 #16287) -#16285 := (iff #13936 #16284) -#16282 := (iff #13931 #16279) -#16276 := (or #14857 #13910 #13921) -#16280 := (iff #16276 #16279) -#16281 := [rewrite]: #16280 -#16277 := (iff #13931 #16276) -#16278 := [monotonicity #14855]: #16277 -#16283 := [trans #16278 #16281]: #16282 -#16286 := [quant-intro #16283]: #16285 -#16289 := [monotonicity #16286]: #16288 -#16527 := [monotonicity #16289 #16524]: #16526 -#16530 := [monotonicity #16286 #16527]: #16529 -#16533 := [monotonicity #16530]: #16532 -#16536 := [monotonicity #16533]: #16535 -#16539 := [monotonicity #16536]: #16538 -#16542 := [monotonicity #16539]: #16541 -#16545 := [monotonicity #16542]: #16544 -#16548 := [monotonicity #16545]: #16547 -#16551 := [monotonicity #16548]: #16550 -#16554 := [monotonicity #16551]: #16553 -#16557 := [monotonicity #16554]: #16556 -#14791 := (not #14643) -#15789 := (iff #14791 #15788) -#15786 := (iff #14643 #15785) -#15783 := (iff #14640 #15782) -#15780 := (iff #14635 #15779) -#15777 := (iff #14629 #15776) -#15774 := (iff #14624 #15773) -#15771 := (iff #14616 #15770) -#15768 := (iff #14595 #15767) -#15765 := (iff #14592 #15764) -#15762 := (iff #14589 #15761) -#15759 := (iff #14586 #15758) -#15756 := (iff #14581 #15755) -#15753 := (iff #14573 #15750) -#15747 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #15742 #14416 #14450 #14456 #14468 #14483 #14496 #14507) -#15751 := (iff #15747 #15750) -#15752 := [rewrite]: #15751 -#15748 := (iff #14573 #15747) -#15745 := (iff #14376 #15742) -#15739 := (and #15734 #14371) -#15743 := (iff #15739 #15742) -#15744 := [rewrite]: #15743 -#15740 := (iff #14376 #15739) -#15737 := (iff #14070 #15734) -#15719 := (or #12671 #12662 #12653 #12644 #13955 #14009) -#15731 := (or #13955 #15719 #14049) -#15735 := (iff #15731 #15734) -#15736 := [rewrite]: #15735 -#15732 := (iff #14070 #15731) -#15729 := (iff #14041 #15719) -#15724 := (and true #15719) -#15727 := (iff #15724 #15719) -#15728 := [rewrite]: #15727 -#15725 := (iff #14041 #15724) -#15722 := (iff #14036 #15719) -#15716 := (or false #12671 #12662 #12653 #12644 #13955 #14009) -#15720 := (iff #15716 #15719) -#15721 := [rewrite]: #15720 -#15717 := (iff #14036 #15716) -#15714 := (iff #12719 false) -#15712 := (iff #12719 #3294) -#15456 := (iff up_216 true) -#11194 := [asserted]: up_216 -#15457 := [iff-true #11194]: #15456 -#15713 := [monotonicity #15457]: #15712 -#15715 := [trans #15713 #13445]: #15714 -#15718 := [monotonicity #15715]: #15717 -#15723 := [trans #15718 #15721]: #15722 -#15726 := [monotonicity #15457 #15723]: #15725 -#15730 := [trans #15726 #15728]: #15729 -#15733 := [monotonicity #15730]: #15732 -#15738 := [trans #15733 #15736]: #15737 -#15741 := [monotonicity #15738]: #15740 -#15746 := [trans #15741 #15744]: #15745 -#15710 := (iff #13376 #15709) -#15707 := (iff #12556 #12553) -#15702 := (and true #12553) -#15705 := (iff #15702 #12553) -#15706 := [rewrite]: #15705 -#15703 := (iff #12556 #15702) -#15690 := (iff #12332 true) -#15691 := [iff-true #14784]: #15690 -#15704 := [monotonicity #15691]: #15703 -#15708 := [trans #15704 #15706]: #15707 -#15711 := [monotonicity #15708]: #15710 -#15749 := [monotonicity #15711 #15746]: #15748 -#15754 := [trans #15749 #15752]: #15753 -#15757 := [monotonicity #15754]: #15756 -#15760 := [monotonicity #15757]: #15759 -#15763 := [monotonicity #15760]: #15762 -#15766 := [monotonicity #15763]: #15765 -#15769 := [monotonicity #15766]: #15768 -#15772 := [monotonicity #15769]: #15771 -#15775 := [monotonicity #15772]: #15774 -#15778 := [monotonicity #15775]: #15777 -#15781 := [monotonicity #15778]: #15780 -#15784 := [monotonicity #15781]: #15783 -#15787 := [monotonicity #15784]: #15786 -#15790 := [monotonicity #15787]: #15789 -#14792 := [not-or-elim #14776]: #14791 -#15791 := [mp #14792 #15790]: #15788 -#16558 := [mp #15791 #16557]: #16555 -#19284 := [mp~ #16558 #19283]: #19281 -#19285 := [mp #19284 #19629]: #19627 -#23120 := [mp #19285 #23119]: #23117 -#23987 := [mp #23120 #23986]: #23984 -#28241 := [unit-resolution #23987 #26494]: #23981 -#28348 := (or #23978 #23957) -decl uf_136 :: (-> T14 T5) -#26312 := (uf_58 #3079 #3011) -#26553 := (uf_136 #26312) -#26565 := (uf_24 uf_273 #26553) -#26566 := (= uf_9 #26565) -#26600 := (not #26566) -decl uf_135 :: (-> T14 T2) -#26546 := (uf_135 #26312) -#26551 := (= uf_9 #26546) -#26552 := (not #26551) -#26788 := (or #26552 #26600) -#26791 := (not #26788) -decl uf_210 :: (-> T4 T5 T2) -#26631 := (uf_210 uf_273 #26553) -#26632 := (= uf_9 #26631) -#26630 := (uf_25 uf_273 #26553) -#26610 := (= uf_26 #26630) -#26753 := (or #26610 #26632) -#26766 := (not #26753) -#26287 := (uf_15 #3011) -#26634 := (uf_14 #26287) -#26726 := (= uf_16 #26634) -#26750 := (not #26726) -#26608 := (uf_15 #26553) -#26609 := (uf_14 #26608) -#26629 := (= uf_16 #26609) -#26796 := (or #26629 #26750 #26766 #26791) -#26807 := (not #26796) -#26557 := (uf_25 uf_273 #3011) -#26558 := (= uf_26 #26557) -#26555 := (uf_210 uf_273 #3011) -#26556 := (= uf_9 #26555) -#26756 := (or #26556 #26558) -#26759 := (not #26756) -#26745 := (or #26726 #26759) -#26748 := (not #26745) -#26809 := (or #26748 #26807) -#26812 := (not #26809) -#26819 := (or #18897 #26812) -#26823 := (not #26819) -#26851 := (iff #12367 #26823) -#2376 := (uf_67 #47 #26) -#2377 := (pattern #2376) -#281 := (uf_59 #47) -#2383 := (uf_58 #281 #26) -#2397 := (uf_135 #2383) -#10938 := (= uf_9 #2397) -#10941 := (not #10938) -#2384 := (uf_136 #2383) -#2394 := (uf_24 #47 #2384) -#10932 := (= uf_9 #2394) -#10935 := (not #10932) -#10944 := (or #10935 #10941) -#22490 := (not #10944) -#2390 := (uf_15 #2384) -#2391 := (uf_14 #2390) -#10926 := (= uf_16 #2391) -#2387 := (uf_25 #47 #2384) -#10920 := (= uf_26 #2387) -#2385 := (uf_210 #47 #2384) -#10917 := (= uf_9 #2385) -#10923 := (or #10917 #10920) -#22489 := (not #10923) -#22491 := (or #52 #22489 #10926 #22490) -#22492 := (not #22491) -#2379 := (uf_210 #47 #26) -#10898 := (= uf_9 #2379) -#10904 := (or #3656 #10898) -#22484 := (not #10904) -#22485 := (or #36 #22484) -#22486 := (not #22485) -#22495 := (or #22486 #22492) -#22501 := (not #22495) -#22502 := (or #11522 #22501) -#22503 := (not #22502) -#10894 := (= uf_9 #2376) -#22508 := (iff #10894 #22503) -#22511 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #22508) -#10929 := (not #10926) -#10978 := (and #36 #10923 #10929 #10944) -#10912 := (and #52 #10904) -#10981 := (or #10912 #10978) -#10984 := (and #3650 #10981) -#10987 := (iff #10894 #10984) -#10990 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #10987) -#22512 := (iff #10990 #22511) -#22509 := (iff #10987 #22508) -#22506 := (iff #10984 #22503) -#22498 := (and #3650 #22495) -#22504 := (iff #22498 #22503) -#22505 := [rewrite]: #22504 -#22499 := (iff #10984 #22498) -#22496 := (iff #10981 #22495) -#22493 := (iff #10978 #22492) -#22494 := [rewrite]: #22493 -#22487 := (iff #10912 #22486) -#22488 := [rewrite]: #22487 -#22497 := [monotonicity #22488 #22494]: #22496 -#22500 := [monotonicity #22497]: #22499 -#22507 := [trans #22500 #22505]: #22506 -#22510 := [monotonicity #22507]: #22509 -#22513 := [quant-intro #22510]: #22512 -#18466 := (~ #10990 #10990) -#18464 := (~ #10987 #10987) -#18465 := [refl]: #18464 -#18467 := [nnf-pos #18465]: #18466 -#2398 := (= #2397 uf_9) -#2399 := (not #2398) -#2395 := (= #2394 uf_9) -#2396 := (not #2395) -#2400 := (or #2396 #2399) -#2401 := (and #2400 #36) -#2392 := (= #2391 uf_16) -#2393 := (not #2392) -#2402 := (and #2393 #2401) -#2388 := (= #2387 uf_26) -#2386 := (= #2385 uf_9) -#2389 := (or #2386 #2388) -#2403 := (and #2389 #2402) -#2380 := (= #2379 uf_9) -#2381 := (or #2380 #151) -#2382 := (and #2381 #52) -#2404 := (or #2382 #2403) -#2405 := (and #2404 #147) -#2378 := (= #2376 uf_9) -#2406 := (iff #2378 #2405) -#2407 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #2406) -#10993 := (iff #2407 #10990) -#10950 := (and #36 #10944) -#10955 := (and #10929 #10950) -#10958 := (and #10923 #10955) -#10961 := (or #10912 #10958) -#10967 := (and #3650 #10961) -#10972 := (iff #10894 #10967) -#10975 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #10972) -#10991 := (iff #10975 #10990) -#10988 := (iff #10972 #10987) -#10985 := (iff #10967 #10984) -#10982 := (iff #10961 #10981) -#10979 := (iff #10958 #10978) -#10980 := [rewrite]: #10979 -#10983 := [monotonicity #10980]: #10982 -#10986 := [monotonicity #10983]: #10985 -#10989 := [monotonicity #10986]: #10988 -#10992 := [quant-intro #10989]: #10991 -#10976 := (iff #2407 #10975) -#10973 := (iff #2406 #10972) -#10970 := (iff #2405 #10967) -#10964 := (and #10961 #3650) -#10968 := (iff #10964 #10967) -#10969 := [rewrite]: #10968 -#10965 := (iff #2405 #10964) -#10962 := (iff #2404 #10961) -#10959 := (iff #2403 #10958) -#10956 := (iff #2402 #10955) -#10953 := (iff #2401 #10950) -#10947 := (and #10944 #36) -#10951 := (iff #10947 #10950) -#10952 := [rewrite]: #10951 -#10948 := (iff #2401 #10947) -#10945 := (iff #2400 #10944) -#10942 := (iff #2399 #10941) -#10939 := (iff #2398 #10938) -#10940 := [rewrite]: #10939 -#10943 := [monotonicity #10940]: #10942 -#10936 := (iff #2396 #10935) -#10933 := (iff #2395 #10932) -#10934 := [rewrite]: #10933 -#10937 := [monotonicity #10934]: #10936 -#10946 := [monotonicity #10937 #10943]: #10945 -#10949 := [monotonicity #10946]: #10948 -#10954 := [trans #10949 #10952]: #10953 -#10930 := (iff #2393 #10929) -#10927 := (iff #2392 #10926) -#10928 := [rewrite]: #10927 -#10931 := [monotonicity #10928]: #10930 -#10957 := [monotonicity #10931 #10954]: #10956 -#10924 := (iff #2389 #10923) -#10921 := (iff #2388 #10920) -#10922 := [rewrite]: #10921 -#10918 := (iff #2386 #10917) -#10919 := [rewrite]: #10918 -#10925 := [monotonicity #10919 #10922]: #10924 -#10960 := [monotonicity #10925 #10957]: #10959 -#10915 := (iff #2382 #10912) -#10909 := (and #10904 #52) -#10913 := (iff #10909 #10912) -#10914 := [rewrite]: #10913 -#10910 := (iff #2382 #10909) -#10907 := (iff #2381 #10904) -#10901 := (or #10898 #3656) -#10905 := (iff #10901 #10904) -#10906 := [rewrite]: #10905 -#10902 := (iff #2381 #10901) -#10899 := (iff #2380 #10898) -#10900 := [rewrite]: #10899 -#10903 := [monotonicity #10900 #3658]: #10902 -#10908 := [trans #10903 #10906]: #10907 -#10911 := [monotonicity #10908]: #10910 -#10916 := [trans #10911 #10914]: #10915 -#10963 := [monotonicity #10916 #10960]: #10962 -#10966 := [monotonicity #10963 #3652]: #10965 -#10971 := [trans #10966 #10969]: #10970 -#10896 := (iff #2378 #10894) -#10897 := [rewrite]: #10896 -#10974 := [monotonicity #10897 #10971]: #10973 -#10977 := [quant-intro #10974]: #10976 -#10994 := [trans #10977 #10992]: #10993 -#10893 := [asserted]: #2407 -#10995 := [mp #10893 #10994]: #10990 -#18468 := [mp~ #10995 #18467]: #10990 -#22514 := [mp #18468 #22513]: #22511 -#26854 := (not #22511) -#26855 := (or #26854 #26851) -#26606 := (or #26600 #26552) -#26607 := (not #26606) -#26633 := (or #26632 #26610) -#26628 := (not #26633) -#26635 := (= #26634 uf_16) -#26684 := (not #26635) -#26685 := (or #26684 #26628 #26629 #26607) -#26554 := (not #26685) -#26559 := (or #26558 #26556) -#26560 := (not #26559) -#26544 := (or #26635 #26560) -#26636 := (not #26544) -#26637 := (or #26636 #26554) -#26681 := (not #26637) -#26713 := (or #18897 #26681) -#26714 := (not #26713) -#26725 := (iff #12367 #26714) -#26840 := (or #26854 #26725) -#26842 := (iff #26840 #26855) -#26844 := (iff #26855 #26855) -#26839 := [rewrite]: #26844 -#26852 := (iff #26725 #26851) -#26824 := (iff #26714 #26823) -#26820 := (iff #26713 #26819) -#26813 := (iff #26681 #26812) -#26810 := (iff #26637 #26809) -#26808 := (iff #26554 #26807) -#26805 := (iff #26685 #26796) -#26793 := (or #26750 #26766 #26629 #26791) -#26802 := (iff #26793 #26796) -#26804 := [rewrite]: #26802 -#26794 := (iff #26685 #26793) -#26786 := (iff #26607 #26791) -#26789 := (iff #26606 #26788) -#26790 := [rewrite]: #26789 -#26792 := [monotonicity #26790]: #26786 -#26785 := (iff #26628 #26766) -#26764 := (iff #26633 #26753) -#26765 := [rewrite]: #26764 -#26787 := [monotonicity #26765]: #26785 -#26751 := (iff #26684 #26750) -#26754 := (iff #26635 #26726) -#26755 := [rewrite]: #26754 -#26752 := [monotonicity #26755]: #26751 -#26795 := [monotonicity #26752 #26787 #26792]: #26794 -#26806 := [trans #26795 #26804]: #26805 -#26803 := [monotonicity #26806]: #26808 -#26743 := (iff #26636 #26748) -#26746 := (iff #26544 #26745) -#26742 := (iff #26560 #26759) -#26757 := (iff #26559 #26756) -#26758 := [rewrite]: #26757 -#26744 := [monotonicity #26758]: #26742 -#26747 := [monotonicity #26755 #26744]: #26746 -#26749 := [monotonicity #26747]: #26743 -#26811 := [monotonicity #26749 #26803]: #26810 -#26818 := [monotonicity #26811]: #26813 -#26822 := [monotonicity #26818]: #26820 -#26850 := [monotonicity #26822]: #26824 -#26853 := [monotonicity #26850]: #26852 -#26843 := [monotonicity #26853]: #26842 -#26845 := [trans #26843 #26839]: #26842 -#26841 := [quant-inst]: #26840 -#26846 := [mp #26841 #26845]: #26855 -#27857 := [unit-resolution #26846 #22514]: #26851 -#27023 := (not #26851) -#27960 := (or #27023 #26819) -#27858 := [hypothesis]: #23954 -decl uf_144 :: (-> T3 T3) -#24114 := (uf_144 #2952) -#26288 := (= #24114 #26287) -#26263 := (uf_48 #3011 #24114) -#26264 := (= uf_9 #26263) -#26290 := (iff #26264 #26288) -#26074 := (not #26290) -#26175 := [hypothesis]: #26074 -#1381 := (uf_15 #15) -#9506 := (= #233 #1381) -#11615 := (iff #9506 #11594) -#23676 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2662) #11615) -#11620 := (forall (vars (?x712 T5) (?x713 T3)) #11615) -#23679 := (iff #11620 #23676) -#23677 := (iff #11615 #11615) -#23678 := [refl]: #23677 -#23680 := [quant-intro #23678]: #23679 -#18739 := (~ #11620 #11620) -#18737 := (~ #11615 #11615) -#18738 := [refl]: #18737 -#18740 := [nnf-pos #18738]: #18739 -#1882 := (= #1381 #233) -#2668 := (iff #2663 #1882) -#2669 := (forall (vars (?x712 T5) (?x713 T3)) #2668) -#11621 := (iff #2669 #11620) -#11618 := (iff #2668 #11615) -#11611 := (iff #11594 #9506) -#11616 := (iff #11611 #11615) -#11617 := [rewrite]: #11616 -#11613 := (iff #2668 #11611) -#9507 := (iff #1882 #9506) -#9508 := [rewrite]: #9507 -#11614 := [monotonicity #11597 #9508]: #11613 -#11619 := [trans #11614 #11617]: #11618 -#11622 := [quant-intro #11619]: #11621 -#11610 := [asserted]: #2669 -#11625 := [mp #11610 #11622]: #11620 -#18741 := [mp~ #11625 #18740]: #11620 -#23681 := [mp #18741 #23680]: #23676 -#25432 := (not #23676) -#26067 := (or #25432 #26290) -#26289 := (iff #26288 #26264) -#26068 := (or #25432 #26289) -#26069 := (iff #26068 #26067) -#26065 := (iff #26067 #26067) -#26071 := [rewrite]: #26065 -#26291 := (iff #26289 #26290) -#26292 := [rewrite]: #26291 -#26070 := [monotonicity #26292]: #26069 -#26072 := [trans #26070 #26071]: #26069 -#26066 := [quant-inst]: #26068 -#26073 := [mp #26066 #26072]: #26067 -#26176 := [unit-resolution #26073 #23681 #26175]: false -#26214 := [lemma #26176]: #26290 -#26294 := (or #26074 #12361) -#26357 := (uf_116 #23223) -decl uf_138 :: (-> T3 int) -#26356 := (uf_138 #24114) -#26365 := (+ #26356 #26357) -#26368 := (uf_43 #24114 #26365) -#26561 := (uf_15 #26368) -#26308 := (= #26561 #26287) -#26304 := (= #26287 #26561) -#26302 := (= #3011 #26368) -#26346 := (uf_66 #23223 0::int #24114) -#26371 := (= #26346 #26368) -#26374 := (not #26371) -decl uf_139 :: (-> T5 T5 T2) -#26347 := (uf_139 #26346 #23223) -#26354 := (= uf_9 #26347) -#26355 := (not #26354) -#26380 := (or #26355 #26374) -#26385 := (not #26380) -#247 := (:var 1 int) -#1568 := (uf_66 #24 #247 #233) -#1569 := (pattern #1568) -#1576 := (uf_139 #1568 #24) -#8688 := (= uf_9 #1576) -#21652 := (not #8688) -#1571 := (uf_138 #233) -#1570 := (uf_116 #24) -#8678 := (+ #1570 #1571) -#8679 := (+ #247 #8678) -#8682 := (uf_43 #233 #8679) -#8685 := (= #1568 #8682) -#21651 := (not #8685) -#21653 := (or #21651 #21652) -#21654 := (not #21653) -#21657 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #21654) -#8691 := (and #8685 #8688) -#8694 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #8691) -#21658 := (iff #8694 #21657) -#21655 := (iff #8691 #21654) -#21656 := [rewrite]: #21655 -#21659 := [quant-intro #21656]: #21658 -#17817 := (~ #8694 #8694) -#17815 := (~ #8691 #8691) -#17816 := [refl]: #17815 -#17818 := [nnf-pos #17816]: #17817 -#1577 := (= #1576 uf_9) -#1572 := (+ #247 #1571) -#1573 := (+ #1570 #1572) -#1574 := (uf_43 #233 #1573) -#1575 := (= #1568 #1574) -#1578 := (and #1575 #1577) -#1579 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #1578) -#8695 := (iff #1579 #8694) -#8692 := (iff #1578 #8691) -#8689 := (iff #1577 #8688) -#8690 := [rewrite]: #8689 -#8686 := (iff #1575 #8685) -#8683 := (= #1574 #8682) -#8680 := (= #1573 #8679) -#8681 := [rewrite]: #8680 -#8684 := [monotonicity #8681]: #8683 -#8687 := [monotonicity #8684]: #8686 -#8693 := [monotonicity #8687 #8690]: #8692 -#8696 := [quant-intro #8693]: #8695 -#8677 := [asserted]: #1579 -#8699 := [mp #8677 #8696]: #8694 -#17819 := [mp~ #8699 #17818]: #8694 -#21660 := [mp #17819 #21659]: #21657 -#26114 := (not #21657) -#26115 := (or #26114 #26385) -#26358 := (+ #26357 #26356) -#26359 := (+ 0::int #26358) -#26360 := (uf_43 #24114 #26359) -#26361 := (= #26346 #26360) -#26362 := (not #26361) -#26363 := (or #26362 #26355) -#26364 := (not #26363) -#26116 := (or #26114 #26364) -#26122 := (iff #26116 #26115) -#26125 := (iff #26115 #26115) -#26126 := [rewrite]: #26125 -#26386 := (iff #26364 #26385) -#26383 := (iff #26363 #26380) -#26377 := (or #26374 #26355) -#26381 := (iff #26377 #26380) -#26382 := [rewrite]: #26381 -#26378 := (iff #26363 #26377) -#26375 := (iff #26362 #26374) -#26372 := (iff #26361 #26371) -#26369 := (= #26360 #26368) -#26366 := (= #26359 #26365) -#26367 := [rewrite]: #26366 -#26370 := [monotonicity #26367]: #26369 -#26373 := [monotonicity #26370]: #26372 -#26376 := [monotonicity #26373]: #26375 -#26379 := [monotonicity #26376]: #26378 -#26384 := [trans #26379 #26382]: #26383 -#26387 := [monotonicity #26384]: #26386 -#26124 := [monotonicity #26387]: #26122 -#26127 := [trans #26124 #26126]: #26122 -#26117 := [quant-inst]: #26116 -#26128 := [mp #26117 #26127]: #26115 -#26282 := [unit-resolution #26128 #21660]: #26385 -#26130 := (or #26380 #26371) -#26131 := [def-axiom]: #26130 -#26283 := [unit-resolution #26131 #26282]: #26371 -#26285 := (= #3011 #26346) -#24115 := (= uf_7 #24114) -#1349 := (uf_124 #326 #161) -#1584 := (pattern #1349) -#1597 := (uf_144 #1349) -#8734 := (= #326 #1597) -#8738 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1584) #8734) -#17847 := (~ #8738 #8738) -#17845 := (~ #8734 #8734) -#17846 := [refl]: #17845 -#17848 := [nnf-pos #17846]: #17847 -#1598 := (= #1597 #326) -#1599 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1584) #1598) -#8739 := (iff #1599 #8738) -#8736 := (iff #1598 #8734) -#8737 := [rewrite]: #8736 -#8740 := [quant-intro #8737]: #8739 -#8733 := [asserted]: #1599 -#8743 := [mp #8733 #8740]: #8738 -#17849 := [mp~ #8743 #17848]: #8738 -#24118 := (not #8738) -#24119 := (or #24118 #24115) -#24120 := [quant-inst]: #24119 -#27681 := [unit-resolution #24120 #17849]: #24115 -#23226 := (= #2960 #23223) -#93 := (uf_29 #26) -#23593 := (pattern #93) -#94 := (uf_28 #93) -#3575 := (= #26 #94) -#23594 := (forall (vars (?x14 T5)) (:pat #23593) #3575) -#3578 := (forall (vars (?x14 T5)) #3575) -#23595 := (iff #3578 #23594) -#23597 := (iff #23594 #23594) -#23598 := [rewrite]: #23597 -#23596 := [rewrite]: #23595 -#23599 := [trans #23596 #23598]: #23595 -#16790 := (~ #3578 #3578) -#16780 := (~ #3575 #3575) -#16781 := [refl]: #16780 -#16851 := [nnf-pos #16781]: #16790 -#95 := (= #94 #26) -#96 := (forall (vars (?x14 T5)) #95) -#3579 := (iff #96 #3578) -#3576 := (iff #95 #3575) -#3577 := [rewrite]: #3576 -#3580 := [quant-intro #3577]: #3579 -#3574 := [asserted]: #96 -#3583 := [mp #3574 #3580]: #3578 -#16852 := [mp~ #3583 #16851]: #3578 -#23600 := [mp #16852 #23599]: #23594 -#23217 := (not #23594) -#23220 := (or #23217 #23226) -#23215 := [quant-inst]: #23220 -#26284 := [unit-resolution #23215 #23600]: #23226 -#26286 := [monotonicity #26284 #27681]: #26285 -#26303 := [trans #26286 #26283]: #26302 -#26305 := [monotonicity #26303]: #26304 -#26309 := [symm #26305]: #26308 -#26562 := (= #24114 #26561) -#26231 := (or #24181 #26562) -#26232 := [quant-inst]: #26231 -#26276 := [unit-resolution #26232 #23694]: #26562 -#26310 := [trans #26276 #26309]: #26288 -#26075 := (not #26288) -#26256 := [hypothesis]: #26290 -#26268 := (not #26264) -#26278 := (iff #18900 #26268) -#26267 := (iff #12361 #26264) -#26265 := (iff #26264 #12361) -#26258 := (= #26263 #3014) -#27682 := (= #24114 uf_7) -#27683 := [symm #27681]: #27682 -#26259 := [monotonicity #27683]: #26258 -#26266 := [monotonicity #26259]: #26265 -#26277 := [symm #26266]: #26267 -#26279 := [monotonicity #26277]: #26278 -#26257 := [hypothesis]: #18900 -#26280 := [mp #26257 #26279]: #26268 -#26106 := (or #26074 #26264 #26075) -#26108 := [def-axiom]: #26106 -#26281 := [unit-resolution #26108 #26280 #26256]: #26075 -#26311 := [unit-resolution #26281 #26310]: false -#26295 := [lemma #26311]: #26294 -#27925 := [unit-resolution #26295 #26214]: #12361 -#27926 := [hypothesis]: #23981 -#23241 := (or #23978 #23972) -#23222 := [def-axiom]: #23241 -#27936 := [unit-resolution #23222 #27926]: #23972 -decl uf_13 :: (-> T5 T6 T2) -decl uf_10 :: (-> T4 T5 T6) -#26039 := (uf_10 uf_273 #25404) -decl uf_143 :: (-> T3 int) -#24116 := (uf_143 #2952) -#26431 := (uf_124 #24114 #24116) -#26432 := (uf_43 #26431 #2961) -#26521 := (uf_13 #26432 #26039) -#26522 := (= uf_9 #26521) -#26040 := (uf_13 #25404 #26039) -#27955 := (= #26040 #26521) -#27949 := (= #26521 #26040) -#27947 := (= #26432 #25404) -#27934 := (= #26432 #2962) -#27932 := (= #26431 #2952) -#27923 := (= #24116 uf_272) -#24117 := (= uf_272 #24116) -#1594 := (uf_143 #1349) -#8727 := (= #161 #1594) -#8730 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1584) #8727) -#17842 := (~ #8730 #8730) -#17840 := (~ #8727 #8727) -#17841 := [refl]: #17840 -#17843 := [nnf-pos #17841]: #17842 -#1595 := (= #1594 #161) -#1596 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1584) #1595) -#8731 := (iff #1596 #8730) -#8728 := (iff #1595 #8727) -#8729 := [rewrite]: #8728 -#8732 := [quant-intro #8729]: #8731 -#8726 := [asserted]: #1596 -#8735 := [mp #8726 #8732]: #8730 -#17844 := [mp~ #8735 #17843]: #8730 -#24123 := (not #8730) -#24124 := (or #24123 #24117) -#24125 := [quant-inst]: #24124 -#27703 := [unit-resolution #24125 #17844]: #24117 -#27931 := [symm #27703]: #27923 -#27933 := [monotonicity #27683 #27931]: #27932 -#27935 := [monotonicity #27933]: #27934 -#27948 := [trans #27935 #27939]: #27947 -#27950 := [monotonicity #27948]: #27949 -#27953 := [symm #27950]: #27955 -#26041 := (= uf_9 #26040) -decl uf_53 :: (-> T4 T5 T6) -#26030 := (uf_53 uf_273 #25404) -#26031 := (uf_13 #26 #26030) -#26036 := (pattern #26031) -decl up_197 :: (-> T3 bool) -#26034 := (up_197 #25815) -#26032 := (= uf_9 #26031) -#26033 := (not #26032) -decl uf_147 :: (-> T5 T6 T2) -decl uf_192 :: (-> T7 T6) -decl uf_12 :: (-> T4 T5 T7) -#26026 := (uf_12 uf_273 #25404) -#26027 := (uf_192 #26026) -#26028 := (uf_147 #26 #26027) -#26029 := (= uf_9 #26028) -#26046 := (or #26029 #26033 #26034) -#26049 := (forall (vars (?x577 T5)) (:pat #26036) #26046) -#26052 := (not #26049) -#26042 := (not #26041) -#26055 := (or #25880 #26042 #26052) -#26058 := (not #26055) -#27945 := (= #3009 #25982) -#27946 := [symm #27943]: #27945 -#23240 := (or #23978 #12355) -#23229 := [def-axiom]: #23240 -#27938 := [unit-resolution #23229 #27926]: #12355 -#27924 := [trans #27938 #27946]: #25983 -#25988 := (or #26022 #25981 #25999) -#26021 := [def-axiom]: #25988 -#27927 := [unit-resolution #26021 #27924 #27937]: #25981 -#26061 := (or #26002 #26058) -#14 := (:var 2 T4) -#2162 := (uf_196 #14 #15 #26) -#2223 := (pattern #2162) -#2224 := (uf_53 #13 #24) -#2225 := (uf_13 #26 #2224) -#2226 := (pattern #2225) -#2154 := (uf_12 #13 #15) -#2231 := (uf_192 #2154) -#2232 := (uf_147 #26 #2231) -#10478 := (= uf_9 #2232) -#10467 := (= uf_9 #2225) -#22343 := (not #10467) -#1373 := (uf_15 #24) -#2228 := (up_197 #1373) -#22358 := (or #2228 #22343 #10478) -#22363 := (forall (vars (?x577 T5)) (:pat #2226) #22358) -#22369 := (not #22363) -#2140 := (uf_10 #14 #26) -#2141 := (uf_13 #15 #2140) -#10170 := (= uf_9 #2141) -#22177 := (not #10170) -#180 := (uf_24 #14 #15) -#3758 := (= uf_9 #180) -#10821 := (not #3758) -#22370 := (or #10821 #22177 #22369) -#22371 := (not #22370) -#10219 := (= uf_9 #2162) -#10502 := (not #10219) -#22376 := (or #10502 #22371) -#22379 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #22376) -#2229 := (not #2228) -#10473 := (and #2229 #10467) -#10484 := (not #10473) -#10485 := (or #10484 #10478) -#10490 := (forall (vars (?x577 T5)) (:pat #2226) #10485) -#10511 := (and #3758 #10170 #10490) -#10514 := (or #10502 #10511) -#10517 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #10514) -#22380 := (iff #10517 #22379) -#22377 := (iff #10514 #22376) -#22374 := (iff #10511 #22371) -#22366 := (and #3758 #10170 #22363) -#22372 := (iff #22366 #22371) -#22373 := [rewrite]: #22372 -#22367 := (iff #10511 #22366) -#22364 := (iff #10490 #22363) -#22361 := (iff #10485 #22358) -#22344 := (or #2228 #22343) -#22355 := (or #22344 #10478) -#22359 := (iff #22355 #22358) -#22360 := [rewrite]: #22359 -#22356 := (iff #10485 #22355) -#22353 := (iff #10484 #22344) -#22345 := (not #22344) -#22348 := (not #22345) -#22351 := (iff #22348 #22344) -#22352 := [rewrite]: #22351 -#22349 := (iff #10484 #22348) -#22346 := (iff #10473 #22345) -#22347 := [rewrite]: #22346 -#22350 := [monotonicity #22347]: #22349 -#22354 := [trans #22350 #22352]: #22353 -#22357 := [monotonicity #22354]: #22356 -#22362 := [trans #22357 #22360]: #22361 -#22365 := [quant-intro #22362]: #22364 -#22368 := [monotonicity #22365]: #22367 -#22375 := [trans #22368 #22373]: #22374 -#22378 := [monotonicity #22375]: #22377 -#22381 := [quant-intro #22378]: #22380 -#18361 := (~ #10517 #10517) -#18359 := (~ #10514 #10514) -#18357 := (~ #10511 #10511) -#18355 := (~ #10490 #10490) -#18353 := (~ #10485 #10485) -#18354 := [refl]: #18353 -#18356 := [nnf-pos #18354]: #18355 -#18351 := (~ #10170 #10170) -#18352 := [refl]: #18351 -#18349 := (~ #3758 #3758) -#18350 := [refl]: #18349 -#18358 := [monotonicity #18350 #18352 #18356]: #18357 -#18347 := (~ #10502 #10502) -#18348 := [refl]: #18347 -#18360 := [monotonicity #18348 #18358]: #18359 -#18362 := [nnf-pos #18360]: #18361 -#2145 := (= #2141 uf_9) -#184 := (= #180 uf_9) -#2236 := (and #184 #2145) -#2233 := (= #2232 uf_9) -#2227 := (= #2225 uf_9) -#2230 := (and #2227 #2229) -#2234 := (implies #2230 #2233) -#2235 := (forall (vars (?x577 T5)) (:pat #2226) #2234) -#2237 := (and #2235 #2236) -#2163 := (= #2162 uf_9) -#2238 := (implies #2163 #2237) -#2239 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #2238) -#10520 := (iff #2239 #10517) -#10493 := (and #3758 #10170) -#10496 := (and #10490 #10493) -#10503 := (or #10502 #10496) -#10508 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #10503) -#10518 := (iff #10508 #10517) -#10515 := (iff #10503 #10514) -#10512 := (iff #10496 #10511) -#10513 := [rewrite]: #10512 -#10516 := [monotonicity #10513]: #10515 -#10519 := [quant-intro #10516]: #10518 -#10509 := (iff #2239 #10508) -#10506 := (iff #2238 #10503) -#10499 := (implies #10219 #10496) -#10504 := (iff #10499 #10503) -#10505 := [rewrite]: #10504 -#10500 := (iff #2238 #10499) -#10497 := (iff #2237 #10496) -#10494 := (iff #2236 #10493) -#10171 := (iff #2145 #10170) -#10172 := [rewrite]: #10171 -#3759 := (iff #184 #3758) -#3760 := [rewrite]: #3759 -#10495 := [monotonicity #3760 #10172]: #10494 -#10491 := (iff #2235 #10490) -#10488 := (iff #2234 #10485) -#10481 := (implies #10473 #10478) -#10486 := (iff #10481 #10485) -#10487 := [rewrite]: #10486 -#10482 := (iff #2234 #10481) -#10479 := (iff #2233 #10478) -#10480 := [rewrite]: #10479 -#10476 := (iff #2230 #10473) -#10470 := (and #10467 #2229) -#10474 := (iff #10470 #10473) -#10475 := [rewrite]: #10474 -#10471 := (iff #2230 #10470) -#10468 := (iff #2227 #10467) -#10469 := [rewrite]: #10468 -#10472 := [monotonicity #10469]: #10471 -#10477 := [trans #10472 #10475]: #10476 -#10483 := [monotonicity #10477 #10480]: #10482 -#10489 := [trans #10483 #10487]: #10488 -#10492 := [quant-intro #10489]: #10491 -#10498 := [monotonicity #10492 #10495]: #10497 -#10220 := (iff #2163 #10219) -#10221 := [rewrite]: #10220 -#10501 := [monotonicity #10221 #10498]: #10500 -#10507 := [trans #10501 #10505]: #10506 -#10510 := [quant-intro #10507]: #10509 -#10521 := [trans #10510 #10519]: #10520 -#10466 := [asserted]: #2239 -#10522 := [mp #10466 #10521]: #10517 -#18363 := [mp~ #10522 #18362]: #10517 -#22382 := [mp #18363 #22381]: #22379 -#26123 := (not #22379) -#26129 := (or #26123 #26002 #26058) -#26035 := (or #26034 #26033 #26029) -#26037 := (forall (vars (?x577 T5)) (:pat #26036) #26035) -#26038 := (not #26037) -#26043 := (or #25880 #26042 #26038) -#26044 := (not #26043) -#26045 := (or #26002 #26044) -#26132 := (or #26123 #26045) -#26147 := (iff #26132 #26129) -#26144 := (or #26123 #26061) -#26145 := (iff #26144 #26129) -#26146 := [rewrite]: #26145 -#26142 := (iff #26132 #26144) -#26062 := (iff #26045 #26061) -#26059 := (iff #26044 #26058) -#26056 := (iff #26043 #26055) -#26053 := (iff #26038 #26052) -#26050 := (iff #26037 #26049) -#26047 := (iff #26035 #26046) -#26048 := [rewrite]: #26047 -#26051 := [quant-intro #26048]: #26050 -#26054 := [monotonicity #26051]: #26053 -#26057 := [monotonicity #26054]: #26056 -#26060 := [monotonicity #26057]: #26059 -#26063 := [monotonicity #26060]: #26062 -#26143 := [monotonicity #26063]: #26142 -#26148 := [trans #26143 #26146]: #26147 -#26133 := [quant-inst]: #26132 -#26149 := [mp #26133 #26148]: #26129 -#27928 := [unit-resolution #26149 #22382]: #26061 -#27929 := [unit-resolution #27928 #27927]: #26058 -#26216 := (or #26055 #26041) -#26217 := [def-axiom]: #26216 -#27930 := [unit-resolution #26217 #27929]: #26041 -#27956 := [trans #27930 #27953]: #26522 -#26523 := (not #26522) -#26711 := (or #12358 #26523) -#26511 := (uf_43 #24114 #2961) -#26512 := (uf_66 #26511 0::int #24114) -#26513 := (uf_27 uf_273 #26512) -#26514 := (= uf_9 #26513) -#26515 := (not #26514) -#26678 := (iff #18897 #26515) -#26674 := (iff #12358 #26514) -#26675 := (iff #26514 #12358) -#26687 := (= #26513 #3012) -#26683 := (= #26512 #3011) -#27689 := (= #26511 #2960) -#27687 := (= #2961 uf_274) -#24233 := (= uf_274 #2961) -#2693 := (uf_116 #2692) -#11669 := (= #161 #2693) -#23683 := (forall (vars (?x718 T3) (?x719 int)) (:pat #23682) #11669) -#11673 := (forall (vars (?x718 T3) (?x719 int)) #11669) -#23686 := (iff #11673 #23683) -#23684 := (iff #11669 #11669) -#23685 := [refl]: #23684 -#23687 := [quant-intro #23685]: #23686 -#18754 := (~ #11673 #11673) -#18752 := (~ #11669 #11669) -#18753 := [refl]: #18752 -#18755 := [nnf-pos #18753]: #18754 -#2694 := (= #2693 #161) -#2695 := (forall (vars (?x718 T3) (?x719 int)) #2694) -#11674 := (iff #2695 #11673) -#11671 := (iff #2694 #11669) -#11672 := [rewrite]: #11671 -#11675 := [quant-intro #11672]: #11674 -#11668 := [asserted]: #2695 -#11678 := [mp #11668 #11675]: #11673 -#18756 := [mp~ #11678 #18755]: #11673 -#23688 := [mp #18756 #23687]: #23683 -#24187 := (not #23683) -#24238 := (or #24187 #24233) -#24239 := [quant-inst]: #24238 -#27686 := [unit-resolution #24239 #23688]: #24233 -#27688 := [symm #27686]: #27687 -#27690 := [monotonicity #27683 #27688]: #27689 -#26686 := [monotonicity #27690 #27683]: #26683 -#26688 := [monotonicity #26686]: #26687 -#26676 := [monotonicity #26688]: #26675 -#26677 := [symm #26676]: #26674 -#26679 := [monotonicity #26677]: #26678 -#26638 := [hypothesis]: #18897 -#26680 := [mp #26638 #26679]: #26515 -#26516 := (uf_58 #3079 #26512) -#26517 := (uf_135 #26516) -#26518 := (= uf_9 #26517) -#26528 := (or #26515 #26518) -#26531 := (not #26528) -decl uf_23 :: (-> T3 T2) -#26524 := (uf_23 #24114) -#26525 := (= uf_9 #26524) -#2778 := (uf_23 uf_7) -#27721 := (= #2778 #26524) -#27718 := (= #26524 #2778) -#27719 := [monotonicity #27683]: #27718 -#27722 := [symm #27719]: #27721 -#11835 := (= uf_9 #2778) -#2779 := (= #2778 uf_9) -#11837 := (iff #2779 #11835) -#11838 := [rewrite]: #11837 -#11834 := [asserted]: #2779 -#11841 := [mp #11834 #11838]: #11835 -#27723 := [trans #11841 #27722]: #26525 -#26526 := (not #26525) -#26708 := (or #26526 #26531) -#27724 := [hypothesis]: #26522 -#26469 := (<= #24116 0::int) -#26682 := (not #26469) -#14790 := [not-or-elim #14776]: #13943 -#26452 := (* -1::int #24116) -#26584 := (+ uf_272 #26452) -#26585 := (<= #26584 0::int) -#27704 := (not #24117) -#27705 := (or #27704 #26585) -#27706 := [th-lemma]: #27705 -#27707 := [unit-resolution #27706 #27703]: #26585 -#27713 := (not #26585) -#26698 := (or #26682 #13942 #27713) -#26699 := [th-lemma]: #26698 -#26707 := [unit-resolution #26699 #27707 #14790]: #26682 -#237 := (uf_23 #233) -#758 := (:var 4 int) -#2062 := (uf_43 #233 #758) -#2063 := (uf_66 #2062 #247 #233) -#1364 := (:var 5 T4) -#2080 := (uf_25 #1364 #2063) -#1356 := (:var 3 T5) -#2060 := (uf_10 #1364 #1356) -#268 := (:var 2 int) -#2058 := (uf_124 #233 #268) -#2059 := (uf_43 #2058 #758) -#2061 := (uf_13 #2059 #2060) -#2081 := (pattern #2061 #2080 #237) -#1535 := (uf_59 #1364) -#2078 := (uf_58 #1535 #2063) -#2079 := (pattern #2061 #2078 #237) -#2085 := (uf_27 #1364 #2063) -#9989 := (= uf_9 #2085) -#22088 := (not #9989) -#2082 := (uf_135 #2078) -#9983 := (= uf_9 #2082) -#22089 := (or #9983 #22088) -#22090 := (not #22089) -#2067 := (uf_55 #1364) -#9932 := (= uf_9 #2067) -#22064 := (not #9932) -#9929 := (= uf_9 #2061) -#22063 := (not #9929) -#4079 := (* -1::int #268) -#6249 := (+ #247 #4079) -#6838 := (>= #6249 0::int) -#4346 := (>= #247 0::int) -#20033 := (not #4346) -#3963 := (= uf_9 #237) -#10698 := (not #3963) -#22096 := (or #10698 #20033 #6838 #22063 #22064 #22090) -#22101 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #22096) -#9986 := (not #9983) -#9992 := (and #9986 #9989) -#8189 := (not #6838) -#9965 := (and #3963 #4346 #8189 #9929 #9932) -#9970 := (not #9965) -#10006 := (or #9970 #9992) -#10009 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #10006) -#22102 := (iff #10009 #22101) -#22099 := (iff #10006 #22096) -#22065 := (or #10698 #20033 #6838 #22063 #22064) -#22093 := (or #22065 #22090) -#22097 := (iff #22093 #22096) -#22098 := [rewrite]: #22097 -#22094 := (iff #10006 #22093) -#22091 := (iff #9992 #22090) -#22092 := [rewrite]: #22091 -#22074 := (iff #9970 #22065) -#22066 := (not #22065) -#22069 := (not #22066) -#22072 := (iff #22069 #22065) -#22073 := [rewrite]: #22072 -#22070 := (iff #9970 #22069) -#22067 := (iff #9965 #22066) -#22068 := [rewrite]: #22067 -#22071 := [monotonicity #22068]: #22070 -#22075 := [trans #22071 #22073]: #22074 -#22095 := [monotonicity #22075 #22092]: #22094 -#22100 := [trans #22095 #22098]: #22099 -#22103 := [quant-intro #22100]: #22102 -#18227 := (~ #10009 #10009) -#18225 := (~ #10006 #10006) -#18226 := [refl]: #18225 -#18228 := [nnf-pos #18226]: #18227 -#2086 := (= #2085 uf_9) -#2083 := (= #2082 uf_9) -#2084 := (not #2083) -#2087 := (and #2084 #2086) -#2068 := (= #2067 uf_9) -#238 := (= #237 uf_9) -#2069 := (and #238 #2068) -#2066 := (= #2061 uf_9) -#2070 := (and #2066 #2069) -#400 := (<= 0::int #247) -#2071 := (and #400 #2070) -#1425 := (< #247 #268) -#2072 := (and #1425 #2071) -#2088 := (implies #2072 #2087) -#2089 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #2088) -#10012 := (iff #2089 #10009) -#9935 := (and #3963 #9932) -#9938 := (and #9929 #9935) -#9941 := (and #400 #9938) -#9944 := (and #1425 #9941) -#9950 := (not #9944) -#9998 := (or #9950 #9992) -#10003 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #9998) -#10010 := (iff #10003 #10009) -#10007 := (iff #9998 #10006) -#9971 := (iff #9950 #9970) -#9968 := (iff #9944 #9965) -#9959 := (and #4346 #9938) -#9962 := (and #8189 #9959) -#9966 := (iff #9962 #9965) -#9967 := [rewrite]: #9966 -#9963 := (iff #9944 #9962) -#9960 := (iff #9941 #9959) -#4345 := (iff #400 #4346) -#4347 := [rewrite]: #4345 -#9961 := [monotonicity #4347]: #9960 -#8190 := (iff #1425 #8189) -#8191 := [rewrite]: #8190 -#9964 := [monotonicity #8191 #9961]: #9963 -#9969 := [trans #9964 #9967]: #9968 -#9972 := [monotonicity #9969]: #9971 -#10008 := [monotonicity #9972]: #10007 -#10011 := [quant-intro #10008]: #10010 -#10004 := (iff #2089 #10003) -#10001 := (iff #2088 #9998) -#9995 := (implies #9944 #9992) -#9999 := (iff #9995 #9998) -#10000 := [rewrite]: #9999 -#9996 := (iff #2088 #9995) -#9993 := (iff #2087 #9992) -#9990 := (iff #2086 #9989) -#9991 := [rewrite]: #9990 -#9987 := (iff #2084 #9986) -#9984 := (iff #2083 #9983) -#9985 := [rewrite]: #9984 -#9988 := [monotonicity #9985]: #9987 -#9994 := [monotonicity #9988 #9991]: #9993 -#9945 := (iff #2072 #9944) -#9942 := (iff #2071 #9941) -#9939 := (iff #2070 #9938) -#9936 := (iff #2069 #9935) -#9933 := (iff #2068 #9932) -#9934 := [rewrite]: #9933 -#3964 := (iff #238 #3963) -#3965 := [rewrite]: #3964 -#9937 := [monotonicity #3965 #9934]: #9936 -#9930 := (iff #2066 #9929) -#9931 := [rewrite]: #9930 -#9940 := [monotonicity #9931 #9937]: #9939 -#9943 := [monotonicity #9940]: #9942 -#9946 := [monotonicity #9943]: #9945 -#9997 := [monotonicity #9946 #9994]: #9996 -#10002 := [trans #9997 #10000]: #10001 -#10005 := [quant-intro #10002]: #10004 -#10013 := [trans #10005 #10011]: #10012 -#9982 := [asserted]: #2089 -#10014 := [mp #9982 #10013]: #10009 -#18229 := [mp~ #10014 #18228]: #10009 -#22104 := [mp #18229 #22103]: #22101 -#26542 := (not #22101) -#26613 := (or #26542 #23209 #26469 #26523 #26526 #26531) -#26519 := (or #26518 #26515) -#26520 := (not #26519) -#26453 := (+ 0::int #26452) -#26454 := (>= #26453 0::int) -#26455 := (>= 0::int 0::int) -#26456 := (not #26455) -#26527 := (or #26526 #26456 #26454 #26523 #23209 #26520) -#26614 := (or #26542 #26527) -#26601 := (iff #26614 #26613) -#26537 := (or #23209 #26469 #26523 #26526 #26531) -#26616 := (or #26542 #26537) -#26619 := (iff #26616 #26613) -#26620 := [rewrite]: #26619 -#26617 := (iff #26614 #26616) -#26540 := (iff #26527 #26537) -#26534 := (or #26526 false #26469 #26523 #23209 #26531) -#26538 := (iff #26534 #26537) -#26539 := [rewrite]: #26538 -#26535 := (iff #26527 #26534) -#26532 := (iff #26520 #26531) -#26529 := (iff #26519 #26528) -#26530 := [rewrite]: #26529 -#26533 := [monotonicity #26530]: #26532 -#26472 := (iff #26454 #26469) -#26466 := (>= #26452 0::int) -#26470 := (iff #26466 #26469) -#26471 := [rewrite]: #26470 -#26467 := (iff #26454 #26466) -#26464 := (= #26453 #26452) -#26465 := [rewrite]: #26464 -#26468 := [monotonicity #26465]: #26467 -#26473 := [trans #26468 #26471]: #26472 -#26462 := (iff #26456 false) -#26460 := (iff #26456 #3294) -#26458 := (iff #26455 true) -#26459 := [rewrite]: #26458 -#26461 := [monotonicity #26459]: #26460 -#26463 := [trans #26461 #13445]: #26462 -#26536 := [monotonicity #26463 #26473 #26533]: #26535 -#26541 := [trans #26536 #26539]: #26540 -#26618 := [monotonicity #26541]: #26617 -#26602 := [trans #26618 #26620]: #26601 -#26615 := [quant-inst]: #26614 -#26603 := [mp #26615 #26602]: #26613 -#26706 := [unit-resolution #26603 #22104 #14784 #26707 #27724]: #26708 -#26709 := [unit-resolution #26706 #27723]: #26531 -#26604 := (or #26528 #26514) -#26605 := [def-axiom]: #26604 -#26710 := [unit-resolution #26605 #26709 #26680]: false -#26712 := [lemma #26710]: #26711 -#27952 := [unit-resolution #26712 #27956]: #12358 -#23238 := (or #23975 #18897 #18900 #23969) -#23239 := [def-axiom]: #23238 -#27957 := [unit-resolution #23239 #27952 #27925 #27936]: #23969 -#23252 := (or #23966 #23960) -#23263 := [def-axiom]: #23252 -#27958 := [unit-resolution #23263 #27957]: #23960 -#23245 := (or #23963 #18900 #18906 #23957) -#23258 := [def-axiom]: #23245 -#27959 := [unit-resolution #23258 #27958 #27925 #27858]: #18906 -#27024 := (or #27023 #12367 #26819) -#27025 := [def-axiom]: #27024 -#27961 := [unit-resolution #27025 #27959]: #27960 -#27962 := [unit-resolution #27961 #27857]: #26819 -#27902 := (or #26823 #26812) -#26997 := (or #26823 #18897 #26812) -#26998 := [def-axiom]: #26997 -#27904 := [unit-resolution #26998 #27952]: #27902 -#27905 := [unit-resolution #27904 #27962]: #26812 -#26956 := (or #26809 #26796) -#26991 := [def-axiom]: #26956 -#27903 := [unit-resolution #26991 #27905]: #26796 -#27585 := (not #26518) -#27980 := (iff #27585 #26552) -#27976 := (iff #26518 #26551) -#27987 := (= #26517 #26546) -#27910 := (= #26516 #26312) -#27911 := [monotonicity #26686]: #27910 -#27988 := [monotonicity #27911]: #27987 -#27979 := [monotonicity #27988]: #27976 -#27981 := [monotonicity #27979]: #27980 -#27907 := [unit-resolution #26603 #22104 #14784 #26707 #27956]: #26708 -#27908 := [unit-resolution #27907 #27723]: #26531 -#27597 := (or #26528 #27585) -#27598 := [def-axiom]: #27597 -#27909 := [unit-resolution #27598 #27908]: #27585 -#27982 := [mp #27909 #27981]: #26552 -#26910 := (or #26788 #26551) -#26911 := [def-axiom]: #26910 -#27983 := [unit-resolution #26911 #27982]: #26788 -#24653 := (uf_14 uf_7) -#27977 := (= #24653 #26634) -#27985 := (= #26634 #24653) -#27991 := (= #26287 uf_7) -#27989 := (= #26287 #24114) -#28002 := [mp #27925 #26277]: #26264 -#26014 := (or #26074 #26268 #26288) -#26016 := [def-axiom]: #26014 -#27986 := [unit-resolution #26016 #28002 #26214]: #26288 -#27990 := [symm #27986]: #27989 -#27992 := [trans #27990 #27683]: #27991 -#27993 := [monotonicity #27992]: #27985 -#27978 := [symm #27993]: #27977 -#24654 := (= uf_16 #24653) -#24661 := (iff #11835 #24654) -#2303 := (pattern #237) -#2831 := (uf_14 #233) -#12008 := (= uf_16 #2831) -#12012 := (iff #3963 #12008) -#12015 := (forall (vars (?x761 T3)) (:pat #2303) #12012) -#18854 := (~ #12015 #12015) -#18852 := (~ #12012 #12012) -#18853 := [refl]: #18852 -#18855 := [nnf-pos #18853]: #18854 -#2844 := (= #2831 uf_16) -#2845 := (iff #238 #2844) -#2846 := (forall (vars (?x761 T3)) (:pat #2303) #2845) -#12016 := (iff #2846 #12015) -#12013 := (iff #2845 #12012) -#12010 := (iff #2844 #12008) -#12011 := [rewrite]: #12010 -#12014 := [monotonicity #3965 #12011]: #12013 -#12017 := [quant-intro #12014]: #12016 -#12007 := [asserted]: #2846 -#12020 := [mp #12007 #12017]: #12015 -#18856 := [mp~ #12020 #18855]: #12015 -#24285 := (not #12015) -#24664 := (or #24285 #24661) -#24665 := [quant-inst]: #24664 -#27984 := [unit-resolution #24665 #18856]: #24661 -#24666 := (not #24661) -#28001 := (or #24666 #24654) -#24670 := (not #11835) -#24671 := (or #24666 #24670 #24654) -#24672 := [def-axiom]: #24671 -#28003 := [unit-resolution #24672 #11841]: #28001 -#28004 := [unit-resolution #28003 #27984]: #24654 -#28005 := [trans #28004 #27978]: #26726 -#26958 := (not #26629) -#28390 := (iff #12299 #26958) -#28388 := (iff #12296 #26629) -#28355 := (iff #26629 #12296) -#28362 := (= #26609 #2955) -#28360 := (= #26608 #2952) -#28357 := (= #26608 #24234) -#28329 := (= #26553 #2962) -#28302 := (= #26553 #26432) -#26435 := (uf_66 #26432 0::int #24114) -#26436 := (uf_58 #3079 #26435) -#26437 := (uf_136 #26436) -#28300 := (= #26437 #26432) -#26438 := (= #26432 #26437) -decl up_68 :: (-> T14 bool) -#26445 := (up_68 #26436) -#26446 := (not #26445) -#26442 := (uf_27 uf_273 #26435) -#26443 := (= uf_9 #26442) -#26444 := (not #26443) -#26440 := (uf_135 #26436) -#26441 := (= uf_9 #26440) -#26439 := (not #26438) -#26474 := (or #26439 #26441 #26444 #26446) -#26477 := (not #26474) -#26449 := (uf_27 uf_273 #26432) -#26450 := (= uf_9 #26449) -#28032 := (= #2963 #26449) -#28007 := (= #26449 #2963) -#28013 := [monotonicity #27935]: #28007 -#28033 := [symm #28013]: #28032 -#28031 := [trans #14797 #28033]: #26450 -#26451 := (not #26450) -#28034 := (or #26451 #26477) -#276 := (:var 3 int) -#310 := (:var 2 T3) -#1463 := (uf_124 #310 #247) -#1464 := (uf_43 #1463 #276) -#1460 := (uf_43 #310 #276) -#1461 := (uf_66 #1460 #161 #310) -#38 := (:var 4 T4) -#1466 := (uf_59 #38) -#1467 := (uf_58 #1466 #1461) -#1468 := (pattern #1467 #1464) -#1459 := (uf_41 #38) -#1462 := (uf_40 #1459 #1461) -#1465 := (pattern #1462 #1464) -#1471 := (uf_66 #1464 #161 #310) -#1474 := (uf_58 #1466 #1471) -#1479 := (uf_136 #1474) -#8354 := (= #1464 #1479) -#21428 := (not #8354) -#1476 := (uf_135 #1474) -#8348 := (= uf_9 #1476) -#1472 := (uf_27 #38 #1471) -#8345 := (= uf_9 #1472) -#21427 := (not #8345) -#1475 := (up_68 #1474) -#21426 := (not #1475) -#21429 := (or #21426 #21427 #8348 #21428) -#21430 := (not #21429) -#1469 := (uf_27 #38 #1464) -#8342 := (= uf_9 #1469) -#8377 := (not #8342) -#5373 := (* -1::int #247) -#6256 := (+ #161 #5373) -#6255 := (>= #6256 0::int) -#21436 := (or #5113 #6255 #8377 #21430) -#21441 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #21436) -#8351 := (not #8348) -#8386 := (and #1475 #8345 #8351 #8354) -#8026 := (not #6255) -#8029 := (and #4084 #8026) -#8032 := (not #8029) -#8395 := (or #8032 #8377 #8386) -#8400 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #8395) -#21442 := (iff #8400 #21441) -#21439 := (iff #8395 #21436) -#21311 := (or #5113 #6255) -#21433 := (or #21311 #8377 #21430) -#21437 := (iff #21433 #21436) -#21438 := [rewrite]: #21437 -#21434 := (iff #8395 #21433) -#21431 := (iff #8386 #21430) -#21432 := [rewrite]: #21431 -#21320 := (iff #8032 #21311) -#21312 := (not #21311) -#21315 := (not #21312) -#21318 := (iff #21315 #21311) -#21319 := [rewrite]: #21318 -#21316 := (iff #8032 #21315) -#21313 := (iff #8029 #21312) -#21314 := [rewrite]: #21313 -#21317 := [monotonicity #21314]: #21316 -#21321 := [trans #21317 #21319]: #21320 -#21435 := [monotonicity #21321 #21432]: #21434 -#21440 := [trans #21435 #21438]: #21439 -#21443 := [quant-intro #21440]: #21442 -#17588 := (~ #8400 #8400) -#17586 := (~ #8395 #8395) -#17587 := [refl]: #17586 -#17589 := [nnf-pos #17587]: #17588 -#1480 := (= #1479 #1464) -#1477 := (= #1476 uf_9) -#1478 := (not #1477) -#1481 := (and #1478 #1480) -#1482 := (and #1475 #1481) -#1473 := (= #1472 uf_9) -#1483 := (and #1473 #1482) -#1362 := (< #161 #247) -#1363 := (and #1362 #285) -#1484 := (implies #1363 #1483) -#1470 := (= #1469 uf_9) -#1485 := (implies #1470 #1484) -#1486 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #1485) -#8403 := (iff #1486 #8400) -#8357 := (and #8351 #8354) -#8360 := (and #1475 #8357) -#8363 := (and #8345 #8360) -#7987 := (and #285 #1362) -#7996 := (not #7987) -#8369 := (or #7996 #8363) -#8378 := (or #8377 #8369) -#8383 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #8378) -#8401 := (iff #8383 #8400) -#8398 := (iff #8378 #8395) -#8389 := (or #8032 #8386) -#8392 := (or #8377 #8389) -#8396 := (iff #8392 #8395) -#8397 := [rewrite]: #8396 -#8393 := (iff #8378 #8392) -#8390 := (iff #8369 #8389) -#8387 := (iff #8363 #8386) -#8388 := [rewrite]: #8387 -#8033 := (iff #7996 #8032) -#8030 := (iff #7987 #8029) -#8027 := (iff #1362 #8026) -#8028 := [rewrite]: #8027 -#8031 := [monotonicity #4085 #8028]: #8030 -#8034 := [monotonicity #8031]: #8033 -#8391 := [monotonicity #8034 #8388]: #8390 -#8394 := [monotonicity #8391]: #8393 -#8399 := [trans #8394 #8397]: #8398 -#8402 := [quant-intro #8399]: #8401 -#8384 := (iff #1486 #8383) -#8381 := (iff #1485 #8378) -#8374 := (implies #8342 #8369) -#8379 := (iff #8374 #8378) -#8380 := [rewrite]: #8379 -#8375 := (iff #1485 #8374) -#8372 := (iff #1484 #8369) -#8366 := (implies #7987 #8363) -#8370 := (iff #8366 #8369) -#8371 := [rewrite]: #8370 -#8367 := (iff #1484 #8366) -#8364 := (iff #1483 #8363) -#8361 := (iff #1482 #8360) -#8358 := (iff #1481 #8357) -#8355 := (iff #1480 #8354) -#8356 := [rewrite]: #8355 -#8352 := (iff #1478 #8351) -#8349 := (iff #1477 #8348) -#8350 := [rewrite]: #8349 -#8353 := [monotonicity #8350]: #8352 -#8359 := [monotonicity #8353 #8356]: #8358 -#8362 := [monotonicity #8359]: #8361 -#8346 := (iff #1473 #8345) -#8347 := [rewrite]: #8346 -#8365 := [monotonicity #8347 #8362]: #8364 -#7988 := (iff #1363 #7987) -#7989 := [rewrite]: #7988 -#8368 := [monotonicity #7989 #8365]: #8367 -#8373 := [trans #8368 #8371]: #8372 -#8343 := (iff #1470 #8342) -#8344 := [rewrite]: #8343 -#8376 := [monotonicity #8344 #8373]: #8375 -#8382 := [trans #8376 #8380]: #8381 -#8385 := [quant-intro #8382]: #8384 -#8404 := [trans #8385 #8402]: #8403 -#8341 := [asserted]: #1486 -#8405 := [mp #8341 #8404]: #8400 -#17590 := [mp~ #8405 #17589]: #8400 -#21444 := [mp #17590 #21443]: #21441 -#27098 := (not #21441) -#27099 := (or #27098 #26451 #26469 #26477) -#26447 := (or #26446 #26444 #26441 #26439) -#26448 := (not #26447) -#26457 := (or #26456 #26454 #26451 #26448) -#27111 := (or #27098 #26457) -#27522 := (iff #27111 #27099) -#26483 := (or #26451 #26469 #26477) -#27450 := (or #27098 #26483) -#27435 := (iff #27450 #27099) -#27448 := [rewrite]: #27435 -#27451 := (iff #27111 #27450) -#26486 := (iff #26457 #26483) -#26480 := (or false #26469 #26451 #26477) -#26484 := (iff #26480 #26483) -#26485 := [rewrite]: #26484 -#26481 := (iff #26457 #26480) -#26478 := (iff #26448 #26477) -#26475 := (iff #26447 #26474) -#26476 := [rewrite]: #26475 -#26479 := [monotonicity #26476]: #26478 -#26482 := [monotonicity #26463 #26473 #26479]: #26481 -#26487 := [trans #26482 #26485]: #26486 -#27428 := [monotonicity #26487]: #27451 -#27523 := [trans #27428 #27448]: #27522 -#27449 := [quant-inst]: #27111 -#27524 := [mp #27449 #27523]: #27099 -#28015 := [unit-resolution #27524 #21444 #26707]: #28034 -#28035 := [unit-resolution #28015 #28031]: #26477 -#27525 := (or #26474 #26438) -#27526 := [def-axiom]: #27525 -#28036 := [unit-resolution #27526 #28035]: #26438 -#28301 := [symm #28036]: #28300 -#28299 := (= #26553 #26437) -#28298 := (= #26312 #26436) -#28308 := (= #26436 #26312) -#28325 := (= #26435 #3011) -#26269 := (uf_116 #3011) -#26270 := (uf_43 #24114 #26269) -#28320 := (= #26270 #3011) -#26271 := (= #3011 #26270) -#26500 := (or #25416 #26268 #26271) -#26272 := (or #26271 #26268) -#26501 := (or #25416 #26272) -#26508 := (iff #26501 #26500) -#26273 := (or #26268 #26271) -#26503 := (or #25416 #26273) -#26506 := (iff #26503 #26500) -#26507 := [rewrite]: #26506 -#26504 := (iff #26501 #26503) -#26274 := (iff #26272 #26273) -#26275 := [rewrite]: #26274 -#26505 := [monotonicity #26275]: #26504 -#26509 := [trans #26505 #26507]: #26508 -#26502 := [quant-inst]: #26501 -#26396 := [mp #26502 #26509]: #26500 -#28037 := [unit-resolution #26396 #18736 #28002]: #26271 -#28321 := [symm #28037]: #28320 -#28324 := (= #26435 #26270) -#26643 := (uf_116 #25404) -#26651 := (+ #26356 #26643) -#26654 := (uf_43 #24114 #26651) -#28304 := (= #26654 #26270) -#28237 := (= #26651 #26269) -#26563 := (uf_116 #26368) -#28283 := (= #26563 #26269) -#28058 := (= #26368 #3011) -#28056 := (= #26346 #3011) -#28038 := (= #23223 #2960) -#28039 := [symm #26284]: #28038 -#28057 := [monotonicity #28039 #27683]: #28056 -#28040 := (= #26368 #26346) -#28050 := [symm #26283]: #28040 -#28059 := [trans #28050 #28057]: #28058 -#28284 := [monotonicity #28059]: #28283 -#28282 := (= #26651 #26563) -#28272 := (= #26563 #26651) -#27071 := (* -1::int #26357) -#27072 := (+ #24016 #27071) -#27073 := (<= #27072 0::int) -#27070 := (= #24016 #26357) -#28067 := (= #2961 #26357) -#28087 := (= #26357 #2961) -#28088 := [monotonicity #28039]: #28087 -#28068 := [symm #28088]: #28067 -#28085 := (= #24016 #2961) -#24240 := (= #2961 #24016) -#24245 := (or #24187 #24240) -#24246 := [quant-inst]: #24245 -#28060 := [unit-resolution #24246 #23688]: #24240 -#28086 := [symm #28060]: #28085 -#28069 := [trans #28086 #28068]: #27070 -#28070 := (not #27070) -#28049 := (or #28070 #27073) -#28066 := [th-lemma]: #28049 -#28051 := [unit-resolution #28066 #28069]: #27073 -#27068 := (>= #27072 0::int) -#28052 := (or #28070 #27068) -#28053 := [th-lemma]: #28052 -#28054 := [unit-resolution #28053 #28069]: #27068 -#26567 := (* -1::int #26563) -#26568 := (+ #26357 #26567) -#26569 := (+ #26356 #26568) -#27092 := (<= #26569 0::int) -#26570 := (= #26569 0::int) -#27074 := (or #24187 #26570) -#26564 := (= #26365 #26563) -#27075 := (or #24187 #26564) -#27077 := (iff #27075 #27074) -#27083 := (iff #27074 #27074) -#27084 := [rewrite]: #27083 -#26571 := (iff #26564 #26570) -#26572 := [rewrite]: #26571 -#27078 := [monotonicity #26572]: #27077 -#27093 := [trans #27078 #27084]: #27077 -#27076 := [quant-inst]: #27075 -#27094 := [mp #27076 #27093]: #27074 -#28055 := [unit-resolution #27094 #23688]: #26570 -#28076 := (not #26570) -#28079 := (or #28076 #27092) -#28080 := [th-lemma]: #28079 -#28081 := [unit-resolution #28080 #28055]: #27092 -#27095 := (>= #26569 0::int) -#28082 := (or #28076 #27095) -#28078 := [th-lemma]: #28082 -#28083 := [unit-resolution #28078 #28055]: #27095 -#27032 := (<= #26356 1::int) -#27031 := (= #26356 1::int) -#2927 := (uf_138 uf_7) -#2928 := (= #2927 1::int) -#12262 := [asserted]: #2928 -#28084 := (= #26356 #2927) -#28103 := [monotonicity #27683]: #28084 -#28105 := [trans #28103 #12262]: #27031 -#28106 := (not #27031) -#28261 := (or #28106 #27032) -#28262 := [th-lemma]: #28261 -#28263 := [unit-resolution #28262 #28105]: #27032 -#27069 := (>= #26356 1::int) -#28264 := (or #28106 #27069) -#28265 := [th-lemma]: #28264 -#28266 := [unit-resolution #28265 #28105]: #27069 -#27890 := (* -1::int #26643) -#27891 := (+ #24016 #27890) -#27892 := (<= #27891 0::int) -#27887 := (= #24016 #26643) -#28253 := (= #26643 #24016) -#28254 := [monotonicity #27941]: #28253 -#28252 := [symm #28254]: #27887 -#28255 := (not #27887) -#28256 := (or #28255 #27892) -#28257 := [th-lemma]: #28256 -#28258 := [unit-resolution #28257 #28252]: #27892 -#27893 := (>= #27891 0::int) -#28259 := (or #28255 #27893) -#28260 := [th-lemma]: #28259 -#28271 := [unit-resolution #28260 #28252]: #27893 -#28281 := [th-lemma #28266 #28263 #28271 #28258 #28266 #28263 #28083 #28081 #28054 #28051]: #28272 -#28280 := [symm #28281]: #28282 -#28239 := [trans #28280 #28284]: #28237 -#28305 := [monotonicity #28239]: #28304 -#28322 := (= #26435 #26654) -#26639 := (uf_66 #25404 0::int #24114) -#26657 := (= #26639 #26654) -#26660 := (not #26657) -#26640 := (uf_139 #26639 #25404) -#26641 := (= uf_9 #26640) -#26642 := (not #26641) -#26666 := (or #26642 #26660) -#26671 := (not #26666) -#27881 := (or #26114 #26671) -#26644 := (+ #26643 #26356) -#26645 := (+ 0::int #26644) -#26646 := (uf_43 #24114 #26645) -#26647 := (= #26639 #26646) -#26648 := (not #26647) -#26649 := (or #26648 #26642) -#26650 := (not #26649) -#27869 := (or #26114 #26650) -#27883 := (iff #27869 #27881) -#27885 := (iff #27881 #27881) -#27886 := [rewrite]: #27885 -#26672 := (iff #26650 #26671) -#26669 := (iff #26649 #26666) -#26663 := (or #26660 #26642) -#26667 := (iff #26663 #26666) -#26668 := [rewrite]: #26667 -#26664 := (iff #26649 #26663) -#26661 := (iff #26648 #26660) -#26658 := (iff #26647 #26657) -#26655 := (= #26646 #26654) -#26652 := (= #26645 #26651) -#26653 := [rewrite]: #26652 -#26656 := [monotonicity #26653]: #26655 -#26659 := [monotonicity #26656]: #26658 -#26662 := [monotonicity #26659]: #26661 -#26665 := [monotonicity #26662]: #26664 -#26670 := [trans #26665 #26668]: #26669 -#26673 := [monotonicity #26670]: #26672 -#27884 := [monotonicity #26673]: #27883 -#27896 := [trans #27884 #27886]: #27883 -#27882 := [quant-inst]: #27869 -#27897 := [mp #27882 #27896]: #27881 -#28240 := [unit-resolution #27897 #21660]: #26671 -#27900 := (or #26666 #26657) -#27901 := [def-axiom]: #27900 -#28238 := [unit-resolution #27901 #28240]: #26657 -#28310 := (= #26435 #26639) -#28311 := [monotonicity #27948]: #28310 -#28323 := [trans #28311 #28238]: #28322 -#28319 := [trans #28323 #28305]: #28324 -#28326 := [trans #28319 #28321]: #28325 -#28296 := [monotonicity #28326]: #28308 -#28309 := [symm #28296]: #28298 -#28297 := [monotonicity #28309]: #28299 -#28303 := [trans #28297 #28301]: #28302 -#28335 := [trans #28303 #27935]: #28329 -#28334 := [monotonicity #28335]: #28357 -#28361 := [trans #28334 #28359]: #28360 -#28363 := [monotonicity #28361]: #28362 -#28356 := [monotonicity #28363]: #28355 -#28389 := [symm #28356]: #28388 -#28391 := [monotonicity #28389]: #28390 -#28392 := [mp #14796 #28391]: #26958 -#28395 := (= #2967 #26630) -#28387 := (= #26630 #2967) -#28393 := [monotonicity #28335]: #28387 -#28328 := [symm #28393]: #28395 -#28349 := [trans #14799 #28328]: #26610 -#26877 := (not #26610) -#26878 := (or #26753 #26877) -#26905 := [def-axiom]: #26878 -#28327 := [unit-resolution #26905 #28349]: #26753 -#26952 := (or #26807 #26629 #26750 #26766 #26791) -#26953 := [def-axiom]: #26952 -#28350 := [unit-resolution #26953 #28327 #28392 #28005 #27983 #27903]: false -#28351 := [lemma #28350]: #28348 -#28242 := [unit-resolution #28351 #28241]: #23957 -#23303 := (or #23954 #3022) -#23302 := [def-axiom]: #23303 -#28243 := [unit-resolution #23302 #28242]: #3022 -#28633 := (+ #3021 #18936) -#26421 := (>= #28633 0::int) -#28632 := (= #3021 #18935) -#27102 := (= #18935 #3021) -#26769 := (= #18934 #3011) -#26767 := (= ?x773!13 0::int) -#23266 := (not #18939) -#26720 := [hypothesis]: #22757 -#23257 := (or #22752 #23266) -#23268 := [def-axiom]: #23257 -#26762 := [unit-resolution #23268 #26720]: #23266 -#23178 := (or #22752 #18931) -#23264 := [def-axiom]: #23178 -#26763 := [unit-resolution #23264 #26720]: #18931 -#26768 := [th-lemma #26763 #26762]: #26767 -#27101 := [monotonicity #26768]: #26769 -#27157 := [monotonicity #27101]: #27102 -#28041 := [symm #27157]: #28632 -#28023 := (not #28632) -#28024 := (or #28023 #26421) -#28022 := [th-lemma]: #28024 -#28025 := [unit-resolution #28022 #28041]: #26421 -#23179 := (not #18938) -#23265 := (or #22752 #23179) -#23180 := [def-axiom]: #23265 -#28026 := [unit-resolution #23180 #26720]: #23179 -#26970 := (* -1::int #3021) -#26971 := (+ uf_285 #26970) -#26972 := (>= #26971 0::int) -#28244 := (or #13672 #26972) -#28245 := [th-lemma]: #28244 -#28246 := [unit-resolution #28245 #28243]: #26972 -#28641 := [th-lemma #28246 #28026 #28025]: false -#28642 := [lemma #28641]: #22752 -#23280 := (or #23954 #23948) -#23281 := [def-axiom]: #23280 -#29203 := [unit-resolution #23281 #28242]: #23948 -#28560 := [hypothesis]: #13906 -#28561 := [th-lemma #14790 #28560]: false -#28562 := [lemma #28561]: #13903 -#23300 := (or #23951 #13906 #23945) -#23301 := [def-axiom]: #23300 -#29204 := [unit-resolution #23301 #28562 #29203]: #23945 -#23309 := (or #23942 #23936) -#23310 := [def-axiom]: #23309 -#29207 := [unit-resolution #23310 #29204]: #23936 -#23328 := (or #23939 #22757 #23933) -#23305 := [def-axiom]: #23328 -#29208 := [unit-resolution #23305 #29207 #28642]: #23933 -#23321 := (or #23930 #23924) -#23322 := [def-axiom]: #23321 -#29209 := [unit-resolution #23322 #29208]: #23924 -#29210 := (or #23927 #13672 #23921) -#23317 := (or #23927 #13672 #13942 #23921) -#23318 := [def-axiom]: #23317 -#29211 := [unit-resolution #23318 #14790]: #29210 -#29212 := [unit-resolution #29211 #29209 #28243]: #23921 -#23351 := (or #23918 #13947) -#23355 := [def-axiom]: #23351 -#29213 := [unit-resolution #23355 #29212]: #13947 -#27053 := (* -1::int #26964) -#27103 := (+ uf_293 #27053) -#27104 := (<= #27103 0::int) -#26965 := (= uf_293 #26964) -#1382 := (uf_66 #15 #161 #1381) -#1383 := (pattern #1382) -#1384 := (uf_125 #1382 #15) -#8071 := (= #161 #1384) -#8075 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1383) #8071) -#17553 := (~ #8075 #8075) -#17551 := (~ #8071 #8071) -#17552 := [refl]: #17551 -#17554 := [nnf-pos #17552]: #17553 -#1385 := (= #1384 #161) -#1386 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1383) #1385) -#8076 := (iff #1386 #8075) -#8073 := (iff #1385 #8071) -#8074 := [rewrite]: #8073 -#8077 := [quant-intro #8074]: #8076 -#8070 := [asserted]: #1386 -#8080 := [mp #8070 #8077]: #8075 -#17555 := [mp~ #8080 #17554]: #8075 -#26411 := (not #8075) -#26968 := (or #26411 #26965) -#26969 := [quant-inst]: #26968 -#27438 := [unit-resolution #26969 #17555]: #26965 -#27439 := (not #26965) -#29214 := (or #27439 #27104) -#29215 := [th-lemma]: #29214 -#29216 := [unit-resolution #29215 #27438]: #27104 -#29217 := (not #27104) -#29218 := (or #27037 #22873 #29217) -#29219 := [th-lemma]: #29218 -#29220 := [unit-resolution #29219 #29216 #29213]: #27037 -#23345 := (or #23918 #23754) -#23338 := [def-axiom]: #23345 -#29221 := [unit-resolution #23338 #29212]: #23754 -#23365 := (or #23918 #12426) -#23366 := [def-axiom]: #23365 -#29222 := [unit-resolution #23366 #29212]: #12426 -#27373 := (+ uf_272 #27053) -#27374 := (<= #27373 0::int) -#27445 := (not #27374) -#23356 := (or #23918 #14405) -#23359 := [def-axiom]: #23356 -#29223 := [unit-resolution #23359 #29212]: #14405 -#27446 := (or #27445 #14404) -#27437 := [hypothesis]: #14405 -#27105 := (>= #27103 0::int) -#27440 := (or #27439 #27105) -#27441 := [th-lemma]: #27440 -#27442 := [unit-resolution #27441 #27438]: #27105 -#27443 := [hypothesis]: #27374 -#27444 := [th-lemma #27443 #27442 #27437]: false -#27447 := [lemma #27444]: #27446 -#29224 := [unit-resolution #27447 #29223]: #27445 -#23346 := (or #23918 #23912) -#23339 := [def-axiom]: #23346 -#29225 := [unit-resolution #23339 #29212]: #23912 -#27311 := (<= #26964 131073::int) -#23336 := (or #23918 #16332) -#23337 := [def-axiom]: #23336 -#29226 := [unit-resolution #23337 #29212]: #16332 -#29227 := (not #27105) -#29228 := (or #27311 #23042 #29227) -#29229 := [th-lemma]: #29228 -#29230 := [unit-resolution #29229 #27442 #29226]: #27311 -#27312 := (not #27311) -#27038 := (not #27037) -#27757 := (or #14049 #27038 #27312 #27374 #23037 #23759 #23915) -#27327 := (uf_66 #2960 #26964 uf_7) -#27328 := (uf_110 uf_273 #27327) -#27331 := (= uf_299 #27328) -#27162 := (= #3068 #27328) -#27733 := (= #27328 #3068) -#27638 := (= #27327 #3067) -#27584 := (= #26964 uf_293) -#27589 := [symm #27438]: #27584 -#27639 := [monotonicity #27589]: #27638 -#27734 := [monotonicity #27639]: #27733 -#27665 := [symm #27734]: #27162 -#27735 := (= uf_299 #3068) -#27640 := [hypothesis]: #12426 -#27641 := [hypothesis]: #23912 -#27352 := [hypothesis]: #14046 -#23335 := (or #23872 #14049) -#23446 := [def-axiom]: #23335 -#27720 := [unit-resolution #23446 #27352]: #23872 -#23378 := (or #23915 #23875 #23909) -#23380 := [def-axiom]: #23378 -#27731 := [unit-resolution #23380 #27720 #27641]: #23909 -#23397 := (or #23906 #12576) -#23398 := [def-axiom]: #23397 -#27666 := [unit-resolution #23398 #27731]: #12576 -#27732 := [symm #27666]: #3139 -#27736 := [trans #27732 #27640]: #27735 -#27737 := [trans #27736 #27665]: #27331 -#27738 := [hypothesis]: #27445 -#27675 := [hypothesis]: #27311 -#27739 := [hypothesis]: #27037 -#23405 := (or #23906 #23900) -#23406 := [def-axiom]: #23405 -#27740 := [unit-resolution #23406 #27731]: #23900 -#27363 := [hypothesis]: #23754 -#27108 := (+ uf_292 #13970) -#27109 := (<= #27108 0::int) -#27741 := (or #12644 #27109) -#27742 := [th-lemma]: #27741 -#27743 := [unit-resolution #27742 #27666]: #27109 -#27349 := (not #27109) -#27367 := (or #23008 #23759 #27349 #14049) -#27179 := (+ uf_294 #19528) -#27180 := (<= #27179 0::int) -#27355 := (not #27180) -#23419 := (not #19530) -#27353 := [hypothesis]: #23013 -#23443 := (or #23008 #23419) -#23444 := [def-axiom]: #23443 -#27354 := [unit-resolution #23444 #27353]: #23419 -#27356 := (or #27355 #14049 #19530) -#27357 := [th-lemma]: #27356 -#27358 := [unit-resolution #27357 #27354 #27352]: #27355 -#27191 := (+ uf_292 #19541) -#27192 := (>= #27191 0::int) -#27348 := (not #27192) -#27342 := [hypothesis]: #27109 -#23439 := (not #19543) -#23445 := (or #23008 #23439) -#23413 := [def-axiom]: #23445 -#27359 := [unit-resolution #23413 #27353]: #23439 -#27350 := (or #27348 #19543 #27349) -#27343 := [hypothesis]: #23439 -#27346 := [hypothesis]: #27192 -#27347 := [th-lemma #27346 #27343 #27342]: false -#27351 := [lemma #27347]: #27350 -#27360 := [unit-resolution #27351 #27359 #27342]: #27348 -#27364 := (or #27180 #27192) -#23383 := (or #23008 #19192) -#23438 := [def-axiom]: #23383 -#27361 := [unit-resolution #23438 #27353]: #19192 -#23457 := (or #23008 #19191) -#23437 := [def-axiom]: #23457 -#27362 := [unit-resolution #23437 #27353]: #19191 -#27205 := (or #23759 #22992 #22993 #27180 #27192) -#27168 := (+ #19196 #14431) -#27169 := (<= #27168 0::int) -#27170 := (+ ?x781!15 #14044) -#27171 := (>= #27170 0::int) -#27172 := (or #22993 #27171 #27169 #22992) -#27206 := (or #23759 #27172) -#27213 := (iff #27206 #27205) -#27200 := (or #22992 #22993 #27180 #27192) -#27208 := (or #23759 #27200) -#27211 := (iff #27208 #27205) -#27212 := [rewrite]: #27211 -#27209 := (iff #27206 #27208) -#27203 := (iff #27172 #27200) -#27197 := (or #22993 #27180 #27192 #22992) -#27201 := (iff #27197 #27200) -#27202 := [rewrite]: #27201 -#27198 := (iff #27172 #27197) -#27195 := (iff #27169 #27192) -#27185 := (+ #14431 #19196) -#27188 := (<= #27185 0::int) -#27193 := (iff #27188 #27192) -#27194 := [rewrite]: #27193 -#27189 := (iff #27169 #27188) -#27186 := (= #27168 #27185) -#27187 := [rewrite]: #27186 -#27190 := [monotonicity #27187]: #27189 -#27196 := [trans #27190 #27194]: #27195 -#27183 := (iff #27171 #27180) -#27173 := (+ #14044 ?x781!15) -#27176 := (>= #27173 0::int) -#27181 := (iff #27176 #27180) -#27182 := [rewrite]: #27181 -#27177 := (iff #27171 #27176) -#27174 := (= #27170 #27173) -#27175 := [rewrite]: #27174 -#27178 := [monotonicity #27175]: #27177 -#27184 := [trans #27178 #27182]: #27183 -#27199 := [monotonicity #27184 #27196]: #27198 -#27204 := [trans #27199 #27202]: #27203 -#27210 := [monotonicity #27204]: #27209 -#27214 := [trans #27210 #27212]: #27213 -#27207 := [quant-inst]: #27206 -#27215 := [mp #27207 #27214]: #27205 -#27365 := [unit-resolution #27215 #27363 #27362 #27361]: #27364 -#27366 := [unit-resolution #27365 #27360 #27358]: false -#27368 := [lemma #27366]: #27367 -#27753 := [unit-resolution #27368 #27743 #27352 #27363]: #23008 -#23423 := (or #23903 #23897 #23013) -#23424 := [def-axiom]: #23423 -#27754 := [unit-resolution #23424 #27753 #27740]: #23897 -#23454 := (or #23894 #23886) -#23455 := [def-axiom]: #23454 -#27755 := [unit-resolution #23455 #27754]: #23886 -#27334 := (not #27331) -#27520 := (or #23891 #27038 #27312 #27334 #27374) -#27317 := (+ #26964 #13873) -#27318 := (>= #27317 0::int) -#27326 := (= #27328 uf_299) -#27329 := (not #27326) -#27330 := (or #27329 #27038 #27318 #27312) -#27518 := (or #23891 #27330) -#27642 := (iff #27518 #27520) -#27382 := (or #27038 #27312 #27334 #27374) -#27590 := (or #23891 #27382) -#27593 := (iff #27590 #27520) -#27594 := [rewrite]: #27593 -#27591 := (iff #27518 #27590) -#27385 := (iff #27330 #27382) -#27379 := (or #27334 #27038 #27374 #27312) -#27383 := (iff #27379 #27382) -#27384 := [rewrite]: #27383 -#27380 := (iff #27330 #27379) -#27377 := (iff #27318 #27374) -#27335 := (+ #13873 #26964) -#27370 := (>= #27335 0::int) -#27375 := (iff #27370 #27374) -#27376 := [rewrite]: #27375 -#27371 := (iff #27318 #27370) -#27336 := (= #27317 #27335) -#27369 := [rewrite]: #27336 -#27372 := [monotonicity #27369]: #27371 -#27378 := [trans #27372 #27376]: #27377 -#27344 := (iff #27329 #27334) -#27332 := (iff #27326 #27331) -#27333 := [rewrite]: #27332 -#27345 := [monotonicity #27333]: #27344 -#27381 := [monotonicity #27345 #27378]: #27380 -#27386 := [trans #27381 #27384]: #27385 -#27592 := [monotonicity #27386]: #27591 -#27647 := [trans #27592 #27594]: #27642 -#27521 := [quant-inst]: #27518 -#27648 := [mp #27521 #27647]: #27520 -#27756 := [unit-resolution #27648 #27755 #27739 #27675 #27738 #27737]: false -#27758 := [lemma #27756]: #27757 -#29231 := [unit-resolution #27758 #29230 #29225 #29224 #29222 #29221 #29220]: #14049 -#23541 := (+ uf_294 #14142) -#23536 := (>= #23541 0::int) -#27163 := (uf_58 #3079 #3175) -#27762 := (uf_136 #27163) -#27763 := (uf_24 uf_273 #27762) -#27764 := (= uf_9 #27763) -#27765 := (not #27764) -#27759 := (uf_135 #27163) -#27760 := (= uf_9 #27759) -#27761 := (not #27760) -#27819 := (or #27761 #27765) -#27822 := (not #27819) -#27773 := (uf_210 uf_273 #27762) -#27774 := (= uf_9 #27773) -#27771 := (uf_25 uf_273 #27762) -#27772 := (= uf_26 #27771) -#27813 := (or #27772 #27774) -#27816 := (not #27813) -#27527 := (uf_15 #3175) -#27777 := (uf_14 #27527) -#27795 := (= uf_16 #27777) -#27810 := (not #27795) -#27768 := (uf_15 #27762) -#27769 := (uf_14 #27768) -#27770 := (= uf_16 #27769) -#27828 := (or #27770 #27810 #27816 #27822) -#27833 := (not #27828) -#27784 := (uf_25 uf_273 #3175) -#27785 := (= uf_26 #27784) -#27782 := (uf_210 uf_273 #3175) -#27783 := (= uf_9 #27782) -#27798 := (or #27783 #27785) -#27801 := (not #27798) -#27804 := (or #27795 #27801) -#27807 := (not #27804) -#27836 := (or #27807 #27833) -#27839 := (not #27836) -#27842 := (or #19008 #27839) -#27845 := (not #27842) -#27848 := (iff #12812 #27845) -#29445 := (or #26854 #27848) -#27766 := (or #27765 #27761) -#27767 := (not #27766) -#27775 := (or #27774 #27772) -#27776 := (not #27775) -#27778 := (= #27777 uf_16) -#27779 := (not #27778) -#27780 := (or #27779 #27776 #27770 #27767) -#27781 := (not #27780) -#27786 := (or #27785 #27783) -#27787 := (not #27786) -#27788 := (or #27778 #27787) -#27789 := (not #27788) -#27790 := (or #27789 #27781) -#27791 := (not #27790) -#27792 := (or #19008 #27791) -#27793 := (not #27792) -#27794 := (iff #12812 #27793) -#29439 := (or #26854 #27794) -#29438 := (iff #29439 #29445) -#29456 := (iff #29445 #29445) -#29454 := [rewrite]: #29456 -#27849 := (iff #27794 #27848) -#27846 := (iff #27793 #27845) -#27843 := (iff #27792 #27842) -#27840 := (iff #27791 #27839) -#27837 := (iff #27790 #27836) -#27834 := (iff #27781 #27833) -#27831 := (iff #27780 #27828) -#27825 := (or #27810 #27816 #27770 #27822) -#27829 := (iff #27825 #27828) -#27830 := [rewrite]: #27829 -#27826 := (iff #27780 #27825) -#27823 := (iff #27767 #27822) -#27820 := (iff #27766 #27819) -#27821 := [rewrite]: #27820 -#27824 := [monotonicity #27821]: #27823 -#27817 := (iff #27776 #27816) -#27814 := (iff #27775 #27813) -#27815 := [rewrite]: #27814 -#27818 := [monotonicity #27815]: #27817 -#27811 := (iff #27779 #27810) -#27796 := (iff #27778 #27795) -#27797 := [rewrite]: #27796 -#27812 := [monotonicity #27797]: #27811 -#27827 := [monotonicity #27812 #27818 #27824]: #27826 -#27832 := [trans #27827 #27830]: #27831 -#27835 := [monotonicity #27832]: #27834 -#27808 := (iff #27789 #27807) -#27805 := (iff #27788 #27804) -#27802 := (iff #27787 #27801) -#27799 := (iff #27786 #27798) -#27800 := [rewrite]: #27799 -#27803 := [monotonicity #27800]: #27802 -#27806 := [monotonicity #27797 #27803]: #27805 -#27809 := [monotonicity #27806]: #27808 -#27838 := [monotonicity #27809 #27835]: #27837 -#27841 := [monotonicity #27838]: #27840 -#27844 := [monotonicity #27841]: #27843 -#27847 := [monotonicity #27844]: #27846 -#27850 := [monotonicity #27847]: #27849 -#29455 := [monotonicity #27850]: #29438 -#29457 := [trans #29455 #29454]: #29438 -#29446 := [quant-inst]: #29439 -#29459 := [mp #29446 #29457]: #29445 -#29640 := [unit-resolution #29459 #22514]: #27848 -#29381 := (not #27848) -#29642 := (or #29381 #27842) -#29641 := [hypothesis]: #19017 -#29377 := (or #29381 #12812 #27842) -#29382 := [def-axiom]: #29377 -#28866 := [unit-resolution #29382 #29641]: #29642 -#29632 := [unit-resolution #28866 #29640]: #27842 -#29635 := (or #27845 #27839) -#23357 := (or #23918 #13950) -#23358 := [def-axiom]: #23357 -#28992 := [unit-resolution #23358 #29212]: #13950 -#28994 := [trans #26494 #27946]: #25983 -#28995 := [unit-resolution #26021 #28994 #27937]: #25981 -#28996 := [unit-resolution #27928 #28995]: #26058 -#28997 := [unit-resolution #26217 #28996]: #26041 -#29000 := [trans #28997 #27953]: #26522 -#27729 := (or #12803 #14243 #26523 #14046) -#27672 := [hypothesis]: #13950 -#27528 := (uf_66 #23223 uf_294 #26404) -#27529 := (uf_125 #27528 #23223) -#27558 := (* -1::int #27529) -#27667 := (+ uf_294 #27558) -#27668 := (<= #27667 0::int) -#27530 := (= uf_294 #27529) -#27533 := (or #26411 #27530) -#27534 := [quant-inst]: #27533 -#27673 := [unit-resolution #27534 #17555]: #27530 -#27676 := (not #27530) -#27677 := (or #27676 #27668) -#27678 := [th-lemma]: #27677 -#27679 := [unit-resolution #27678 #27673]: #27668 -#27549 := (>= #27529 0::int) -#27550 := (not #27549) -#27601 := (uf_66 #26511 #27529 #24114) -#27605 := (uf_58 #3079 #27601) -#27606 := (uf_135 #27605) -#27607 := (= uf_9 #27606) -#27602 := (uf_27 uf_273 #27601) -#27603 := (= uf_9 #27602) -#27604 := (not #27603) -#27611 := (or #27604 #27607) -#27699 := (iff #19008 #27604) -#27697 := (iff #12803 #27603) -#27695 := (iff #27603 #12803) -#27693 := (= #27602 #3176) -#27691 := (= #27601 #3175) -#27684 := (= #27529 uf_294) -#27685 := [symm #27673]: #27684 -#27692 := [monotonicity #27690 #27685 #27683]: #27691 -#27694 := [monotonicity #27692]: #27693 -#27696 := [monotonicity #27694]: #27695 -#27698 := [symm #27696]: #27697 -#27700 := [monotonicity #27698]: #27699 -#27680 := [hypothesis]: #19008 -#27701 := [mp #27680 #27700]: #27604 -#27636 := (or #27611 #27603) -#27637 := [def-axiom]: #27636 -#27702 := [unit-resolution #27637 #27701]: #27611 -#27559 := (+ #24116 #27558) -#27560 := (<= #27559 0::int) -#27712 := (not #27560) -#27708 := [hypothesis]: #14049 -#27669 := (>= #27667 0::int) -#27709 := (or #27676 #27669) -#27710 := [th-lemma]: #27709 -#27711 := [unit-resolution #27710 #27673]: #27669 -#27714 := (not #27669) -#27715 := (or #27712 #27713 #27714 #14046) -#27716 := [th-lemma]: #27715 -#27717 := [unit-resolution #27716 #27711 #27708 #27707]: #27712 -#27614 := (not #27611) -#27725 := (or #27550 #27560 #27614) -#27625 := (or #26542 #23209 #26523 #26526 #27550 #27560 #27614) -#27608 := (or #27607 #27604) -#27609 := (not #27608) -#27547 := (+ #27529 #26452) -#27548 := (>= #27547 0::int) -#27610 := (or #26526 #27550 #27548 #26523 #23209 #27609) -#27626 := (or #26542 #27610) -#27633 := (iff #27626 #27625) -#27620 := (or #23209 #26523 #26526 #27550 #27560 #27614) -#27628 := (or #26542 #27620) -#27631 := (iff #27628 #27625) -#27632 := [rewrite]: #27631 -#27629 := (iff #27626 #27628) -#27623 := (iff #27610 #27620) -#27617 := (or #26526 #27550 #27560 #26523 #23209 #27614) -#27621 := (iff #27617 #27620) -#27622 := [rewrite]: #27621 -#27618 := (iff #27610 #27617) -#27615 := (iff #27609 #27614) -#27612 := (iff #27608 #27611) -#27613 := [rewrite]: #27612 -#27616 := [monotonicity #27613]: #27615 -#27563 := (iff #27548 #27560) -#27552 := (+ #26452 #27529) -#27555 := (>= #27552 0::int) -#27561 := (iff #27555 #27560) -#27562 := [rewrite]: #27561 -#27556 := (iff #27548 #27555) -#27553 := (= #27547 #27552) -#27554 := [rewrite]: #27553 -#27557 := [monotonicity #27554]: #27556 -#27564 := [trans #27557 #27562]: #27563 -#27619 := [monotonicity #27564 #27616]: #27618 -#27624 := [trans #27619 #27622]: #27623 -#27630 := [monotonicity #27624]: #27629 -#27634 := [trans #27630 #27632]: #27633 -#27627 := [quant-inst]: #27626 -#27635 := [mp #27627 #27634]: #27625 -#27726 := [unit-resolution #27635 #22104 #14784 #27724 #27723]: #27725 -#27727 := [unit-resolution #27726 #27717 #27702]: #27550 -#27728 := [th-lemma #27727 #27679 #27672]: false -#27730 := [lemma #27728]: #27729 -#29001 := [unit-resolution #27730 #29231 #29000 #28992]: #12803 -#29437 := (or #27845 #19008 #27839) -#29380 := [def-axiom]: #29437 -#29636 := [unit-resolution #29380 #29001]: #29635 -#29634 := [unit-resolution #29636 #29632]: #27839 -#29590 := (or #27836 #27828) -#29500 := [def-axiom]: #29590 -#29637 := [unit-resolution #29500 #29634]: #27828 -#29123 := (= #24653 #27777) -#29378 := (= #27777 #24653) -#29114 := (= #27527 uf_7) -#28862 := (= #27527 #24114) -#27514 := (= #24114 #27527) -#27302 := (uf_48 #3175 #24114) -#27308 := (= uf_9 #27302) -#27513 := (iff #27308 #27514) -#28999 := (or #25432 #27513) -#27515 := (iff #27514 #27308) -#28993 := (or #25432 #27515) -#29008 := (iff #28993 #28999) -#28998 := (iff #28999 #28999) -#29010 := [rewrite]: #28998 -#27516 := (iff #27515 #27513) -#27517 := [rewrite]: #27516 -#29009 := [monotonicity #27517]: #29008 -#29011 := [trans #29009 #29010]: #29008 -#29007 := [quant-inst]: #28993 -#29012 := [mp #29007 #29011]: #28999 -#29076 := [unit-resolution #29012 #23681]: #27513 -#29751 := (= #3178 #27302) -#29068 := (= #27302 #3178) -#29078 := [monotonicity #27683]: #29068 -#29752 := [symm #29078]: #29751 -#27490 := (+ uf_294 #26365) -#27493 := (uf_43 #24114 #27490) -#27643 := (uf_15 #27493) -#29135 := (= #27643 #27527) -#29116 := (= #27527 #27643) -#29048 := (= #3175 #27493) -#27480 := (uf_66 #23223 uf_294 #24114) -#27496 := (= #27480 #27493) -#27499 := (not #27496) -#27481 := (uf_139 #27480 #23223) -#27482 := (= uf_9 #27481) -#27483 := (not #27482) -#27505 := (or #27483 #27499) -#27510 := (not #27505) -#29033 := (or #26114 #27510) -#27484 := (+ uf_294 #26358) -#27485 := (uf_43 #24114 #27484) -#27486 := (= #27480 #27485) -#27487 := (not #27486) -#27488 := (or #27487 #27483) -#27489 := (not #27488) -#29034 := (or #26114 #27489) -#29030 := (iff #29034 #29033) -#29036 := (iff #29033 #29033) -#29037 := [rewrite]: #29036 -#27511 := (iff #27489 #27510) -#27508 := (iff #27488 #27505) -#27502 := (or #27499 #27483) -#27506 := (iff #27502 #27505) -#27507 := [rewrite]: #27506 -#27503 := (iff #27488 #27502) -#27500 := (iff #27487 #27499) -#27497 := (iff #27486 #27496) -#27494 := (= #27485 #27493) -#27491 := (= #27484 #27490) -#27492 := [rewrite]: #27491 -#27495 := [monotonicity #27492]: #27494 -#27498 := [monotonicity #27495]: #27497 -#27501 := [monotonicity #27498]: #27500 -#27504 := [monotonicity #27501]: #27503 -#27509 := [trans #27504 #27507]: #27508 -#27512 := [monotonicity #27509]: #27511 -#29035 := [monotonicity #27512]: #29030 -#29038 := [trans #29035 #29037]: #29030 -#29029 := [quant-inst]: #29034 -#29039 := [mp #29029 #29038]: #29033 -#29088 := [unit-resolution #29039 #21660]: #27510 -#28968 := (or #27505 #27496) -#29050 := [def-axiom]: #28968 -#29049 := [unit-resolution #29050 #29088]: #27496 -#29056 := (= #3175 #27480) -#29054 := (= #27480 #3175) -#29055 := [monotonicity #28039 #27683]: #29054 -#29057 := [symm #29055]: #29056 -#29082 := [trans #29057 #29049]: #29048 -#29117 := [monotonicity #29082]: #29116 -#29115 := [symm #29117]: #29135 -#27644 := (= #24114 #27643) -#29031 := (or #24181 #27644) -#29032 := [quant-inst]: #29031 -#29087 := [unit-resolution #29032 #23694]: #27644 -#29136 := [trans #29087 #29115]: #27514 -#28947 := (not #27514) -#27309 := (not #27308) -#29080 := (iff #19011 #27309) -#29071 := (iff #12806 #27308) -#29081 := (iff #27308 #12806) -#29066 := [monotonicity #29078]: #29081 -#29072 := [symm #29066]: #29071 -#29083 := [monotonicity #29072]: #29080 -#29077 := [hypothesis]: #19011 -#29079 := [mp #29077 #29083]: #27309 -#28946 := (not #27513) -#29042 := (or #28946 #27308 #28947) -#29043 := [def-axiom]: #29042 -#29084 := [unit-resolution #29043 #29079 #29076]: #28947 -#29137 := [unit-resolution #29084 #29136]: false -#29138 := [lemma #29137]: #12806 -#29753 := [trans #29138 #29752]: #27308 -#28964 := (or #28946 #27309 #27514) -#28951 := [def-axiom]: #28964 -#28867 := [unit-resolution #28951 #29753 #29076]: #27514 -#29113 := [symm #28867]: #28862 -#28864 := [trans #29113 #27683]: #29114 -#29141 := [monotonicity #28864]: #29378 -#29124 := [symm #29141]: #29123 -#29188 := [trans #28004 #29124]: #27795 -#29563 := (not #27770) -#29681 := (iff #12299 #29563) -#29679 := (iff #12296 #27770) -#29461 := (iff #27770 #12296) -#29267 := (= #27769 #2955) -#29265 := (= #27768 #2952) -#29264 := (= #27768 #24234) -#29783 := (= #27762 #2962) -#29781 := (= #27762 #26432) -#27531 := (uf_66 #26432 #27529 #24114) -#27532 := (uf_58 #3079 #27531) -#27535 := (uf_136 #27532) -#29779 := (= #27535 #26432) -#27536 := (= #26432 #27535) -#27543 := (up_68 #27532) -#27544 := (not #27543) -#27540 := (uf_27 uf_273 #27531) -#27541 := (= uf_9 #27540) -#27542 := (not #27541) -#27538 := (uf_135 #27532) -#27539 := (= uf_9 #27538) -#27537 := (not #27536) -#27565 := (or #27537 #27539 #27542 #27544) -#27568 := (not #27565) -#28420 := (or #27549 #14243) -#28416 := [hypothesis]: #27550 -#28417 := [th-lemma #28416 #27679 #27672]: false -#28421 := [lemma #28417]: #28420 -#29742 := [unit-resolution #28421 #28992]: #27549 -#29745 := (or #27712 #27714) -#29743 := (or #27712 #27714 #14046) -#29744 := [unit-resolution #27716 #27707]: #29743 -#29746 := [unit-resolution #29744 #29231]: #29745 -#29747 := [unit-resolution #29746 #27711]: #27712 -#29144 := (or #27098 #26451 #27550 #27560 #27568) -#27545 := (or #27544 #27542 #27539 #27537) -#27546 := (not #27545) -#27551 := (or #27550 #27548 #26451 #27546) -#29145 := (or #27098 #27551) -#29157 := (iff #29145 #29144) -#27574 := (or #26451 #27550 #27560 #27568) -#29168 := (or #27098 #27574) -#29156 := (iff #29168 #29144) -#29154 := [rewrite]: #29156 -#29155 := (iff #29145 #29168) -#27577 := (iff #27551 #27574) -#27571 := (or #27550 #27560 #26451 #27568) -#27575 := (iff #27571 #27574) -#27576 := [rewrite]: #27575 -#27572 := (iff #27551 #27571) -#27569 := (iff #27546 #27568) -#27566 := (iff #27545 #27565) -#27567 := [rewrite]: #27566 -#27570 := [monotonicity #27567]: #27569 -#27573 := [monotonicity #27564 #27570]: #27572 -#27578 := [trans #27573 #27576]: #27577 -#29164 := [monotonicity #27578]: #29155 -#29158 := [trans #29164 #29154]: #29157 -#29167 := [quant-inst]: #29145 -#29159 := [mp #29167 #29158]: #29144 -#29748 := [unit-resolution #29159 #21444 #29747 #29742 #28031]: #27568 -#29175 := (or #27565 #27536) -#29176 := [def-axiom]: #29175 -#29749 := [unit-resolution #29176 #29748]: #27536 -#29780 := [symm #29749]: #29779 -#29777 := (= #27762 #27535) -#29775 := (= #27163 #27532) -#29773 := (= #27532 #27163) -#29771 := (= #27531 #3175) -#27310 := (uf_116 #3175) -#27388 := (uf_43 #24114 #27310) -#29765 := (= #27388 #3175) -#27429 := (= #3175 #27388) -#27431 := (or #27309 #27429) -#29044 := (or #25416 #27309 #27429) -#27430 := (or #27429 #27309) -#29045 := (or #25416 #27430) -#28949 := (iff #29045 #29044) -#28962 := (or #25416 #27431) -#28965 := (iff #28962 #29044) -#28948 := [rewrite]: #28965 -#28960 := (iff #29045 #28962) -#27432 := (iff #27430 #27431) -#27433 := [rewrite]: #27432 -#28963 := [monotonicity #27433]: #28960 -#28945 := [trans #28963 #28948]: #28949 -#28961 := [quant-inst]: #29045 -#28950 := [mp #28961 #28945]: #29044 -#29754 := [unit-resolution #28950 #18736]: #27431 -#29755 := [unit-resolution #29754 #29753]: #27429 -#29766 := [symm #29755]: #29765 -#29769 := (= #27531 #27388) -#28122 := (+ #26643 #27529) -#28146 := (+ #26356 #28122) -#28149 := (uf_43 #24114 #28146) -#29763 := (= #28149 #27388) -#29757 := (= #28146 #27310) -#29735 := (= #27310 #28146) -#29736 := (* -1::int #28146) -#29737 := (+ #27310 #29736) -#29738 := (<= #29737 0::int) -#27645 := (uf_116 #27493) -#27649 := (* -1::int #27645) -#29118 := (+ #27310 #27649) -#29119 := (<= #29118 0::int) -#29091 := (= #27310 #27645) -#29592 := (= #27645 #27310) -#29585 := (= #27493 #3175) -#29612 := (= #27493 #27480) -#29613 := [symm #29049]: #29612 -#29591 := [trans #29613 #29055]: #29585 -#29588 := [monotonicity #29591]: #29592 -#29593 := [symm #29588]: #29091 -#29604 := (not #29091) -#29605 := (or #29604 #29119) -#29606 := [th-lemma]: #29605 -#29607 := [unit-resolution #29606 #29593]: #29119 -#27650 := (+ #26357 #27649) -#27651 := (+ #26356 #27650) -#27652 := (+ uf_294 #27651) -#29185 := (>= #27652 0::int) -#27653 := (= #27652 0::int) -#29089 := (or #24187 #27653) -#27646 := (= #27490 #27645) -#29085 := (or #24187 #27646) -#29108 := (iff #29085 #29089) -#29110 := (iff #29089 #29089) -#29111 := [rewrite]: #29110 -#27654 := (iff #27646 #27653) -#27655 := [rewrite]: #27654 -#29109 := [monotonicity #27655]: #29108 -#29112 := [trans #29109 #29111]: #29108 -#29086 := [quant-inst]: #29085 -#29107 := [mp #29086 #29112]: #29089 -#29608 := [unit-resolution #29107 #23688]: #27653 -#29595 := (not #27653) -#29596 := (or #29595 #29185) -#29597 := [th-lemma]: #29596 -#29598 := [unit-resolution #29597 #29608]: #29185 -#29601 := (not #27668) -#29600 := (not #27892) -#29599 := (not #27068) -#29594 := (not #29185) -#29586 := (not #29119) -#29602 := (or #29738 #29586 #29594 #29599 #29600 #29601) -#29603 := [th-lemma]: #29602 -#29625 := [unit-resolution #29603 #28258 #27679 #29598 #29607 #28054]: #29738 -#29739 := (>= #29737 0::int) -#29120 := (>= #29118 0::int) -#29626 := (or #29604 #29120) -#29616 := [th-lemma]: #29626 -#29614 := [unit-resolution #29616 #29593]: #29120 -#29196 := (<= #27652 0::int) -#29617 := (or #29595 #29196) -#29618 := [th-lemma]: #29617 -#29619 := [unit-resolution #29618 #29608]: #29196 -#29627 := (not #27893) -#29624 := (not #27073) -#29621 := (not #29196) -#29620 := (not #29120) -#29623 := (or #29739 #29620 #29621 #29624 #29627 #27714) -#29628 := [th-lemma]: #29623 -#29629 := [unit-resolution #29628 #28051 #28271 #29619 #29614 #27711]: #29739 -#29503 := (not #29739) -#29630 := (not #29738) -#29518 := (or #29735 #29630 #29503) -#29532 := [th-lemma]: #29518 -#29517 := [unit-resolution #29532 #29629 #29625]: #29735 -#29263 := [symm #29517]: #29757 -#29472 := [monotonicity #29263]: #29763 -#29767 := (= #27531 #28149) -#28104 := (uf_66 #25404 #27529 #24114) -#28136 := (= #28104 #28149) -#28137 := (not #28136) -#28107 := (uf_139 #28104 #25404) -#28108 := (= uf_9 #28107) -#28109 := (not #28108) -#28145 := (or #28109 #28137) -#28249 := (not #28145) -#29261 := (or #26114 #28249) -#28110 := (+ #27529 #26644) -#28111 := (uf_43 #24114 #28110) -#28112 := (= #28104 #28111) -#28117 := (not #28112) -#28118 := (or #28117 #28109) -#28121 := (not #28118) -#29262 := (or #26114 #28121) -#29295 := (iff #29262 #29261) -#29335 := (iff #29261 #29261) -#29336 := [rewrite]: #29335 -#28250 := (iff #28121 #28249) -#28247 := (iff #28118 #28145) -#28142 := (or #28137 #28109) -#28156 := (iff #28142 #28145) -#28157 := [rewrite]: #28156 -#28143 := (iff #28118 #28142) -#28140 := (iff #28117 #28137) -#28138 := (iff #28112 #28136) -#28150 := (= #28111 #28149) -#28147 := (= #28110 #28146) -#28148 := [rewrite]: #28147 -#28151 := [monotonicity #28148]: #28150 -#28139 := [monotonicity #28151]: #28138 -#28141 := [monotonicity #28139]: #28140 -#28144 := [monotonicity #28141]: #28143 -#28248 := [trans #28144 #28157]: #28247 -#28251 := [monotonicity #28248]: #28250 -#29334 := [monotonicity #28251]: #29295 -#29337 := [trans #29334 #29336]: #29295 -#29294 := [quant-inst]: #29262 -#29338 := [mp #29294 #29337]: #29261 -#29759 := [unit-resolution #29338 #21660]: #28249 -#29340 := (or #28145 #28136) -#29279 := [def-axiom]: #29340 -#29760 := [unit-resolution #29279 #29759]: #28136 -#29761 := (= #27531 #28104) -#29762 := [monotonicity #27948]: #29761 -#29768 := [trans #29762 #29760]: #29767 -#29473 := [trans #29768 #29472]: #29769 -#29499 := [trans #29473 #29766]: #29771 -#29656 := [monotonicity #29499]: #29773 -#29657 := [symm #29656]: #29775 -#29180 := [monotonicity #29657]: #29777 -#29677 := [trans #29180 #29780]: #29781 -#29199 := [trans #29677 #27935]: #29783 -#29181 := [monotonicity #29199]: #29264 -#29266 := [trans #29181 #28359]: #29265 -#29460 := [monotonicity #29266]: #29267 -#29462 := [monotonicity #29460]: #29461 -#29680 := [symm #29462]: #29679 -#29682 := [monotonicity #29680]: #29681 -#29683 := [mp #14796 #29682]: #29563 -#29170 := (not #27607) -#29696 := (iff #29170 #27761) -#29689 := (iff #27607 #27760) -#29693 := (iff #27760 #27607) -#29691 := (= #27759 #27606) -#29688 := (= #27163 #27605) -#29686 := (= #27605 #27163) -#29687 := [monotonicity #27692]: #29686 -#29690 := [symm #29687]: #29688 -#29692 := [monotonicity #29690]: #29691 -#29694 := [monotonicity #29692]: #29693 -#29695 := [symm #29694]: #29689 -#29697 := [monotonicity #29695]: #29696 -#29684 := [unit-resolution #27635 #22104 #14784 #29000 #29747 #29742 #27723]: #27614 -#29173 := (or #27611 #29170) -#29169 := [def-axiom]: #29173 -#29685 := [unit-resolution #29169 #29684]: #29170 -#29698 := [mp #29685 #29697]: #27761 -#29577 := (or #27819 #27760) -#29578 := [def-axiom]: #29577 -#29699 := [unit-resolution #29578 #29698]: #27819 -#29709 := (or #27833 #27770 #27810 #27822) -#29792 := (not #29735) -#29793 := (or #29792 #27772) -#29788 := (= #2967 #27771) -#29785 := (= #27771 #2967) -#29756 := [hypothesis]: #29735 -#29758 := [symm #29756]: #29757 -#29764 := [monotonicity #29758]: #29763 -#29770 := [trans #29768 #29764]: #29769 -#29772 := [trans #29770 #29766]: #29771 -#29774 := [monotonicity #29772]: #29773 -#29776 := [symm #29774]: #29775 -#29778 := [monotonicity #29776]: #29777 -#29782 := [trans #29778 #29780]: #29781 -#29784 := [trans #29782 #27935]: #29783 -#29786 := [monotonicity #29784]: #29785 -#29789 := [symm #29786]: #29788 -#29790 := [trans #14799 #29789]: #27772 -#29458 := (not #27772) -#29740 := [hypothesis]: #29458 -#29791 := [unit-resolution #29740 #29790]: false -#29794 := [lemma #29791]: #29793 -#29702 := [unit-resolution #29794 #29517]: #27772 -#29528 := (or #27813 #29458) -#29529 := [def-axiom]: #29528 -#29703 := [unit-resolution #29529 #29702]: #27813 -#29571 := (or #27833 #27770 #27810 #27816 #27822) -#29572 := [def-axiom]: #29571 -#29710 := [unit-resolution #29572 #29703]: #29709 -#29711 := [unit-resolution #29710 #29699 #29683 #29188 #29637]: false -#29712 := [lemma #29711]: #12812 -#23247 := (not #19374) -#29440 := [hypothesis]: #23803 -#23427 := (or #23812 #23800) -#23522 := [def-axiom]: #23427 -#29504 := [unit-resolution #23522 #29440]: #23812 -#23396 := (or #23806 #23800) -#23538 := [def-axiom]: #23396 -#29505 := [unit-resolution #23538 #29440]: #23806 -#29542 := (or #23818 #23809) -#23403 := (or #23906 #14046) -#23404 := [def-axiom]: #23403 -#29536 := [unit-resolution #23404 #29231]: #23906 -#29537 := [unit-resolution #23380 #29536 #29225]: #23875 -#23447 := (or #23872 #23866) -#23448 := [def-axiom]: #23447 -#29538 := [unit-resolution #23448 #29537]: #23866 -#27307 := (or #23818 #23809 #19008 #23869) -#27389 := [hypothesis]: #23821 -#23428 := (or #23818 #12812) -#23429 := [def-axiom]: #23428 -#27390 := [unit-resolution #23429 #27389]: #12812 -#23411 := (or #23818 #12806) -#23426 := [def-axiom]: #23411 -#27391 := [unit-resolution #23426 #27389]: #12806 -#27392 := [hypothesis]: #12803 -#27387 := [hypothesis]: #23866 -#23466 := (or #23869 #19008 #19011 #23863) -#23461 := [def-axiom]: #23466 -#27393 := [unit-resolution #23461 #27391 #27387 #27392]: #23863 -#23475 := (or #23860 #23854) -#23470 := [def-axiom]: #23475 -#27394 := [unit-resolution #23470 #27393]: #23854 -#23468 := (or #23857 #19011 #19017 #23851) -#23469 := [def-axiom]: #23468 -#27395 := [unit-resolution #23469 #27394 #27391 #27390]: #23851 -#27396 := [hypothesis]: #23806 -#23528 := (or #23824 #23818) -#23515 := [def-axiom]: #23528 -#27397 := [unit-resolution #23515 #27389]: #23824 -#23521 := (or #23833 #19008 #19011 #23827) -#23510 := [def-axiom]: #23521 -#27304 := [unit-resolution #23510 #27397 #27392 #27391]: #23833 -#23499 := (or #23836 #23830) -#23501 := [def-axiom]: #23499 -#27305 := [unit-resolution #23501 #27304]: #23836 -#23492 := (or #23845 #23809 #23839) -#23494 := [def-axiom]: #23492 -#27306 := [unit-resolution #23494 #27305 #27396]: #23845 -#23482 := (or #23848 #23842) -#23483 := [def-axiom]: #23482 -#27269 := [unit-resolution #23483 #27306 #27395]: false -#27303 := [lemma #27269]: #27307 -#29521 := [unit-resolution #27303 #29001 #29538]: #29542 -#29525 := [unit-resolution #29521 #29505]: #23818 -#29520 := (or #23821 #19017 #23815) -#23431 := (or #23821 #19011 #19017 #23815) -#23432 := [def-axiom]: #23431 -#29526 := [unit-resolution #23432 #29138]: #29520 -#29527 := [unit-resolution #29526 #29525 #29504 #29712]: false -#29530 := [lemma #29527]: #23800 -#29896 := (or #23803 #23797) -#16270 := (<= uf_272 131073::int) -#16273 := (iff #13872 #16270) -#16264 := (+ 131073::int #13873) -#16267 := (>= #16264 0::int) -#16271 := (iff #16267 #16270) -#16272 := [rewrite]: #16271 -#16268 := (iff #13872 #16267) -#16265 := (= #13874 #16264) -#16266 := [monotonicity #7888]: #16265 -#16269 := [monotonicity #16266]: #16268 -#16274 := [trans #16269 #16272]: #16273 -#14787 := [not-or-elim #14776]: #13880 -#14788 := [and-elim #14787]: #13872 -#16275 := [mp #14788 #16274]: #16270 -#29232 := [hypothesis]: #19037 -#29233 := [th-lemma #29232 #29231 #16275]: false -#29234 := [lemma #29233]: #16368 -#29894 := (or #23803 #19037 #23797) -#29891 := (or #14243 #14088) -#29892 := [th-lemma]: #29891 -#29893 := [unit-resolution #29892 #28992]: #14088 -#23558 := (or #23803 #19034 #19037 #23797) -#23555 := [def-axiom]: #23558 -#29895 := [unit-resolution #23555 #29893]: #29894 -#29897 := [unit-resolution #29895 #29234]: #29896 -#29898 := [unit-resolution #29897 #29530]: #23797 -#23561 := (or #23794 #23788) -#23565 := [def-axiom]: #23561 -#29899 := [unit-resolution #23565 #29898]: #23788 -#23271 := (>= #14169 -1::int) -#23285 := (or #23794 #14168) -#23286 := [def-axiom]: #23285 -#29900 := [unit-resolution #23286 #29898]: #14168 -#29901 := (or #14172 #23271) -#29902 := [th-lemma]: #29901 -#29903 := [unit-resolution #29902 #29900]: #23271 -#29238 := (not #23271) -#29239 := (or #14100 #29238) -#29201 := [hypothesis]: #23271 -#29202 := [hypothesis]: #14105 -#29237 := [th-lemma #29202 #29231 #29201]: false -#29240 := [lemma #29237]: #29239 -#29904 := [unit-resolution #29240 #29903]: #14100 -#23580 := (or #23791 #14105 #23785) -#23566 := [def-axiom]: #23580 -#29905 := [unit-resolution #23566 #29904 #29899]: #23785 -#23575 := (or #23782 #23776) -#23213 := [def-axiom]: #23575 -#29906 := [unit-resolution #23213 #29905]: #23776 -#29920 := (= #3068 #3209) -#29918 := (= #3209 #3068) -#29914 := (= #3208 #3067) -#29912 := (= #3208 #27327) -#29910 := (= uf_301 #26964) -#29907 := [hypothesis]: #23809 -#23549 := (or #23806 #12826) -#23550 := [def-axiom]: #23549 -#29908 := [unit-resolution #23550 #29907]: #12826 -#29909 := [symm #29908]: #3189 -#29911 := [trans #29909 #27438]: #29910 -#29913 := [monotonicity #29911]: #29912 -#29915 := [trans #29913 #27639]: #29914 -#29919 := [monotonicity #29915]: #29918 -#29921 := [symm #29919]: #29920 -#29922 := (= uf_300 #3068) -#23559 := (or #23806 #12823) -#23548 := [def-axiom]: #23559 -#29916 := [unit-resolution #23548 #29907]: #12823 -#29917 := [symm #29916]: #3187 -#29923 := [trans #29917 #29222]: #29922 -#29924 := [trans #29923 #29921]: #12862 -#28863 := (+ uf_293 #14142) -#28865 := (>= #28863 0::int) -#29925 := (or #12993 #28865) -#29926 := [th-lemma]: #29925 -#29927 := [unit-resolution #29926 #29908]: #28865 -#29483 := (not #28865) -#29930 := (or #14145 #29483) -#29928 := (or #14145 #14404 #29483) -#29929 := [th-lemma]: #29928 -#29931 := [unit-resolution #29929 #29223]: #29930 -#29932 := [unit-resolution #29931 #29927]: #14145 -#23374 := (or #22784 #22782 #14144) -#23581 := [def-axiom]: #23374 -#29933 := [unit-resolution #23581 #29932 #29924]: #22784 -#23255 := (or #23770 #22783) -#23256 := [def-axiom]: #23255 -#29934 := [unit-resolution #23256 #29933]: #23770 -#23572 := (or #23779 #23773 #22836) -#23573 := [def-axiom]: #23572 -#29935 := [unit-resolution #23573 #29934 #29906]: #22836 -#23583 := (or #22831 #23247) -#23243 := [def-axiom]: #23583 -#29936 := [unit-resolution #23243 #29935]: #23247 -#29307 := (+ uf_294 #19372) -#29860 := (>= #29307 0::int) -#29955 := (not #29860) -#29855 := (= uf_294 ?x785!14) -#29888 := (not #29855) -#29858 := (= #3184 #19060) -#29864 := (not #29858) -#29859 := (+ #3184 #19385) -#29861 := (>= #29859 0::int) -#29871 := (not #29861) -#23394 := (or #23806 #14207) -#23395 := [def-axiom]: #23394 -#29937 := [unit-resolution #23395 #29907]: #14207 -#29541 := (+ uf_292 #14120) -#29539 := (<= #29541 0::int) -#29938 := (or #13002 #29539) -#29939 := [th-lemma]: #29938 -#29940 := [unit-resolution #29939 #29916]: #29539 -#23227 := (or #22831 #23584) -#23568 := [def-axiom]: #23227 -#29941 := [unit-resolution #23568 #29935]: #23584 -#29872 := (not #29539) -#29873 := (or #29871 #19387 #29872 #14211) -#29866 := [hypothesis]: #14207 -#29867 := [hypothesis]: #29539 -#29868 := [hypothesis]: #23584 -#29869 := [hypothesis]: #29861 -#29870 := [th-lemma #29869 #29868 #29867 #29866]: false -#29874 := [lemma #29870]: #29873 -#29942 := [unit-resolution #29874 #29941 #29940 #29937]: #29871 -#29865 := (or #29864 #29861) -#29875 := [th-lemma]: #29865 -#29943 := [unit-resolution #29875 #29942]: #29864 -#29889 := (or #29888 #29858) -#29884 := (= #19060 #3184) -#29882 := (= #19059 #3175) -#29880 := (= ?x785!14 uf_294) -#29879 := [hypothesis]: #29855 -#29881 := [symm #29879]: #29880 -#29883 := [monotonicity #29881]: #29882 -#29885 := [monotonicity #29883]: #29884 -#29886 := [symm #29885]: #29858 -#29878 := [hypothesis]: #29864 -#29887 := [unit-resolution #29878 #29886]: false -#29890 := [lemma #29887]: #29889 -#29944 := [unit-resolution #29890 #29943]: #29888 -#29958 := (or #29855 #29955) -#29308 := (<= #29307 0::int) -#29319 := (+ uf_292 #19385) -#29320 := (>= #29319 0::int) -#29945 := (not #29320) -#29946 := (or #29945 #19387 #29872) -#29947 := [th-lemma]: #29946 -#29948 := [unit-resolution #29947 #29940 #29941]: #29945 -#29951 := (or #29308 #29320) -#23582 := (or #22831 #19056) -#23242 := [def-axiom]: #23582 -#29949 := [unit-resolution #23242 #29935]: #19056 -#23586 := (or #22831 #19055) -#23592 := [def-axiom]: #23586 -#29950 := [unit-resolution #23592 #29935]: #19055 -#29802 := (or #23759 #22815 #22816 #29308 #29320) -#29296 := (+ #19060 #14431) -#29297 := (<= #29296 0::int) -#29298 := (+ ?x785!14 #14044) -#29299 := (>= #29298 0::int) -#29300 := (or #22816 #29299 #29297 #22815) -#29803 := (or #23759 #29300) -#29810 := (iff #29803 #29802) -#29328 := (or #22815 #22816 #29308 #29320) -#29805 := (or #23759 #29328) -#29808 := (iff #29805 #29802) -#29809 := [rewrite]: #29808 -#29806 := (iff #29803 #29805) -#29331 := (iff #29300 #29328) -#29325 := (or #22816 #29308 #29320 #22815) -#29329 := (iff #29325 #29328) -#29330 := [rewrite]: #29329 -#29326 := (iff #29300 #29325) -#29323 := (iff #29297 #29320) -#29313 := (+ #14431 #19060) -#29316 := (<= #29313 0::int) -#29321 := (iff #29316 #29320) -#29322 := [rewrite]: #29321 -#29317 := (iff #29297 #29316) -#29314 := (= #29296 #29313) -#29315 := [rewrite]: #29314 -#29318 := [monotonicity #29315]: #29317 -#29324 := [trans #29318 #29322]: #29323 -#29311 := (iff #29299 #29308) -#29301 := (+ #14044 ?x785!14) -#29304 := (>= #29301 0::int) -#29309 := (iff #29304 #29308) -#29310 := [rewrite]: #29309 -#29305 := (iff #29299 #29304) -#29302 := (= #29298 #29301) -#29303 := [rewrite]: #29302 -#29306 := [monotonicity #29303]: #29305 -#29312 := [trans #29306 #29310]: #29311 -#29327 := [monotonicity #29312 #29324]: #29326 -#29332 := [trans #29327 #29330]: #29331 -#29807 := [monotonicity #29332]: #29806 -#29811 := [trans #29807 #29809]: #29810 -#29804 := [quant-inst]: #29803 -#29812 := [mp #29804 #29811]: #29802 -#29952 := [unit-resolution #29812 #29221 #29950 #29949]: #29951 -#29953 := [unit-resolution #29952 #29948]: #29308 -#29954 := (not #29308) -#29956 := (or #29855 #29954 #29955) -#29957 := [th-lemma]: #29956 -#29959 := [unit-resolution #29957 #29953]: #29958 -#29960 := [unit-resolution #29959 #29944]: #29955 -#29961 := [th-lemma #29903 #29960 #29936]: false -#29962 := [lemma #29961]: #23806 -#29633 := [unit-resolution #29521 #29962]: #23818 -#29615 := [unit-resolution #29526 #29633 #29712]: #23815 -#23534 := (or #23812 #13075) -#23416 := [def-axiom]: #23534 -#29713 := [unit-resolution #23416 #29615]: #13075 -#29142 := (or #13081 #23536) -#29708 := [th-lemma]: #29142 -#29714 := [unit-resolution #29708 #29713]: #23536 -#29715 := [hypothesis]: #14144 -#29716 := [th-lemma #29715 #29714 #29231]: false -#29717 := [lemma #29716]: #14145 -#29990 := (or #22784 #14144) -#29985 := (= #3184 #3209) -#29982 := (= #3209 #3184) -#29979 := (= #3208 #3175) -#29978 := [symm #29713]: #3247 -#29980 := [monotonicity #29978]: #29979 -#29983 := [monotonicity #29980]: #29982 -#29986 := [symm #29983]: #29985 -#29987 := (= uf_300 #3184) -#23533 := (or #23812 #13070) -#23531 := [def-axiom]: #23533 -#29977 := [unit-resolution #23531 #29615]: #13070 -#29984 := [symm #29977]: #3240 -#23373 := (or #23812 #3246) -#23375 := [def-axiom]: #23373 -#29981 := [unit-resolution #23375 #29615]: #3246 -#29988 := [trans #29981 #29984]: #29987 -#29989 := [trans #29988 #29986]: #12862 -#29991 := [unit-resolution #23581 #29989]: #29990 -#29992 := [unit-resolution #29991 #29717]: #22784 -#29993 := [unit-resolution #23256 #29992]: #23770 -#29994 := [unit-resolution #23573 #29906]: #23776 -#29995 := [unit-resolution #29994 #29993]: #22836 -#30004 := [unit-resolution #23568 #29995]: #23584 -#30026 := (or #29945 #19387) -#29570 := (+ #3184 #14120) -#29587 := (<= #29570 0::int) -#29569 := (= #3184 uf_300) -#30005 := (= uf_304 uf_300) -#30006 := [symm #29981]: #30005 -#30007 := [trans #29977 #30006]: #29569 -#30008 := (not #29569) -#30009 := (or #30008 #29587) -#30010 := [th-lemma]: #30009 -#30011 := [unit-resolution #30010 #30007]: #29587 -#30016 := (or #19017 #23851) -#30012 := (or #19011 #23863) -#30013 := [unit-resolution #23461 #29001 #29538]: #30012 -#30014 := [unit-resolution #30013 #29138]: #23863 -#30015 := [unit-resolution #23470 #30014]: #23854 -#30017 := [unit-resolution #23469 #29138 #30015]: #30016 -#30018 := [unit-resolution #30017 #29712]: #23851 -#30019 := [unit-resolution #23483 #30018]: #23842 -#30020 := [unit-resolution #23494 #29962 #30019]: #23839 -#23514 := (or #23836 #14211) -#23498 := [def-axiom]: #23514 -#30021 := [unit-resolution #23498 #30020]: #14211 -#30022 := (not #29587) -#30023 := (or #29539 #14207 #30022) -#30024 := [th-lemma]: #30023 -#30025 := [unit-resolution #30024 #30021 #30011]: #29539 -#30027 := [unit-resolution #29947 #30025]: #30026 -#30028 := [unit-resolution #30027 #30004]: #29945 -#30029 := [unit-resolution #23242 #29995]: #19056 -#30030 := [unit-resolution #23592 #29995]: #19055 -#30031 := [unit-resolution #29812 #29221 #30030 #30029 #30028]: #29308 -#29996 := [unit-resolution #23243 #29995]: #23247 -#29997 := [hypothesis]: #29955 -#29998 := [th-lemma #29903 #29997 #29996]: false -#29999 := [lemma #29998]: #29860 -#30032 := [unit-resolution #29957 #29999 #30031]: #29855 -#30033 := [unit-resolution #29890 #30032]: #29858 -#30034 := [unit-resolution #29875 #30033]: #29861 -[th-lemma #30011 #30034 #30004]: false -unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/VCC_maximum --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/VCC_maximum Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,687 @@ +(benchmark Isabelle +:extrasorts ( T2 T5 T8 T3 T15 T16 T4 T1 T6 T17 T11 T18 T7 T9 T13 T14 T12 T10 T19) +:extrafuns ( + (uf_9 T2) + (uf_48 T5 T3 T2) + (uf_26 T5) + (uf_126 T5 T15 T5) + (uf_66 T5 Int T3 T5) + (uf_43 T3 Int T5) + (uf_116 T5 Int) + (uf_15 T5 T3) + (uf_81 Int Int Int) + (uf_80 Int Int Int) + (uf_46 T4 T4 T5 T3 T2) + (uf_121 T5) + (uf_53 T4 T5 T6) + (uf_163 T5 T6) + (uf_72 T3 Int Int Int) + (uf_124 T3 Int T3) + (uf_25 T4 T5 T5) + (uf_27 T4 T5 T2) + (uf_255 T3) + (uf_254 T3) + (uf_94 T3) + (uf_90 T3) + (uf_87 T3) + (uf_83 T3) + (uf_7 T3) + (uf_91 T3) + (uf_4 T3) + (uf_84 T3) + (uf_70 T3 Int Int Int) + (uf_69 Int Int Int) + (uf_73 T3 Int Int) + (uf_101 T3 Int Int Int) + (uf_100 Int Int Int) + (uf_71 T3 Int Int Int) + (uf_24 T4 T5 T2) + (uf_10 T4 T5 T6) + (uf_128 T4 T5 T6) + (uf_20 T4 T9) + (uf_138 T3 Int) + (uf_5 T3) + (uf_291 T1) + (uf_79 Int Int) + (uf_207 T4 T4 T5 T5 T2) + (uf_259 T3 T3 T3) + (uf_61 T4 T5 T2) + (uf_169 T4 T4 T5 T5 T4) + (uf_59 T4 T13) + (uf_258 T3) + (uf_240 T3) + (uf_284 T16) + (uf_95 Int) + (uf_92 Int) + (uf_88 Int) + (uf_85 Int) + (uf_78 Int) + (uf_77 Int) + (uf_76 Int) + (uf_75 Int) + (uf_253 Int) + (uf_96 Int) + (uf_93 Int) + (uf_89 Int) + (uf_86 Int) + (uf_6 T3 T3) + (uf_224 T17 T17 T2) + (uf_173 T4 T5 T5 T11) + (uf_153 T6 T6 T2) + (uf_13 T5 T6 T2) + (uf_136 T14 T5) + (uf_37 T3) + (uf_279 T1) + (uf_281 T1) + (uf_287 T1) + (uf_122 T2 T2) + (uf_14 T3 T8) + (uf_114 T4 T5 Int) + (uf_113 T4 T5 Int) + (uf_112 T4 T5 Int) + (uf_111 T4 T5 Int) + (uf_110 T4 T5 Int) + (uf_109 T4 T5 Int) + (uf_108 T4 T5 Int) + (uf_107 T4 T5 Int) + (uf_38 T4 T5 Int) + (uf_145 T5 T6 T2) + (uf_147 T5 T6 T2) + (uf_41 T4 T12) + (uf_170 T4 T5 Int) + (uf_82 T3 Int Int) + (uf_232 T4 T5 T18) + (uf_188 T4 T5 T5 T5 T5) + (uf_65 T4 T5 T3 Int T2) + (uf_42 T5) + (uf_230 T17) + (uf_179 T4 T4 T5 T3 T2) + (uf_215 T11 T5) + (uf_172 T12 T5 T11 T12) + (uf_251 T13 T5 T14 T13) + (uf_266 T3 T3) + (uf_233 T18 T4) + (uf_257 T3) + (uf_99 Int Int Int Int Int Int) + (uf_55 T4 T2) + (uf_60 Int T3 T5) + (uf_246 Int T5) + (uf_220 T5 T15 Int) + (uf_196 T4 T5 T5 T2) + (uf_264 T3 T3) + (uf_142 T3 Int) + (uf_222 T17 T15 Int) + (uf_40 T12 T5 T11) + (uf_58 T13 T5 T14) + (uf_152 T6) + (uf_157 T6 T6 T6) + (uf_178 T9 T5 Int T9) + (uf_174 T4 T5 T5 T4) + (uf_106 T3 Int Int Int) + (uf_103 T3 Int Int Int) + (uf_102 T3 Int Int Int) + (uf_104 T3 Int Int Int) + (uf_105 T3 Int Int Int) + (uf_241 T15 Int T15) + (uf_50 T5 T5 T2) + (uf_245 Int T15) + (uf_51 T4 T2) + (uf_195 T4 T5 T5 T2) + (uf_262 T8) + (uf_161 T5 Int T5) + (uf_265 T3 T3) + (uf_47 T4 T5 T2) + (uf_229 T17 T15 Int T17) + (uf_19 T9 T5 Int) + (uf_154 T6 T6 T2) + (uf_175 T4 T5 T5 T11) + (uf_176 T4 T5 Int T4) + (uf_192 T7 T6) + (uf_219 T3) + (uf_268 T3) + (uf_289 T1) + (uf_132 T5 T3 Int T6) + (uf_139 T5 T5 T2) + (uf_276 T19 Int) + (uf_130 T5 T6) + (uf_44 T4 T2) + (uf_261 T8) + (uf_248 T3 T3 Int) + (uf_249 T3 T3 Int) + (uf_181 T4 T4 T2) + (uf_117 T5 Int) + (uf_119 T5 Int) + (uf_118 T5 Int) + (uf_120 T5 Int) + (uf_160 T5 Int T5) + (uf_235 T18) + (uf_49 T4 T5 T2) + (uf_267 T3) + (uf_143 T3 Int) + (uf_54 T5 T5 T2) + (uf_144 T3 T3) + (uf_237 T15 Int) + (uf_74 T3 Int T2) + (uf_125 T5 T5 Int) + (uf_28 Int T5) + (uf_141 T3 T2) + (uf_260 T3 T2) + (uf_23 T3 T2) + (uf_159 T5 T5 T5) + (uf_29 T5 Int) + (uf_201 T4 T5 T3 T5) + (uf_12 T4 T5 T7) + (uf_131 T6 T6 T2) + (uf_149 T6) + (uf_39 T11 Int) + (uf_217 T11 Int) + (uf_67 T4 T5 T2) + (uf_275 T1) + (uf_134 T5 T3 Int T6) + (uf_189 T5 T7) + (uf_140 T5 T3 T5) + (uf_208 T3 T2) + (uf_221 Int Int T2) + (uf_151 T5 T6) + (uf_162 T4 T5 T6) + (uf_234 T18 Int) + (uf_256 T3) + (uf_286 T1) + (uf_288 T1) + (uf_295 T1) + (uf_290 T1) + (uf_305 T1) + (uf_243 T15 T15) + (uf_242 T15 Int) + (uf_45 T4 T5 T2) + (uf_203 T4 T2) + (uf_148 T5 T2) + (uf_283 Int T5 T2) + (uf_57 T3 T2) + (uf_263 T8) + (uf_16 T8) + (uf_156 T6 T6 T6) + (uf_303 T1) + (uf_306 T1) + (uf_177 T4 T4 T2) + (uf_183 T10 T5 Int) + (uf_62 Int Int) + (uf_63 Int Int) + (uf_200 T4 T5 T5 T16 T2) + (uf_34 Int T6) + (uf_225 Int T17) + (uf_56 T3 T2) + (uf_35 T6 Int) + (uf_231 T17 T15 Int Int Int Int T17) + (uf_226 T17 Int) + (uf_150 T6 Int) + (uf_18 T5 T2) + (uf_202 T1 T4 T2) + (uf_198 T4 T5 T5 T16 T2) + (uf_32 Int T7) + (uf_185 T3 T15 T15 T2) + (uf_211 T4 T5 T2) + (uf_228 T3 T2) + (uf_214 T3 T15) + (uf_155 T6 T6 T6) + (uf_206 T4 T4 T5 T3 T2) + (uf_135 T14 T2) + (uf_33 T7 Int) + (uf_236 T5 T15 T5) + (uf_171 T4 Int) + (uf_133 T5 T6 T6 Int) + (uf_186 T5 T5 T2) + (uf_247 T3 T3 Int Int T2) + (uf_227 T3 T15 T3 T2) + (uf_127 T4 T5 T6) + (uf_22 T3 T2) + (uf_184 T4 T5 T10) + (uf_97 Int Int Int Int Int) + (uf_8 T4 T4 T5 T6 T2) + (uf_11 T7 T5 Int) + (uf_238 T15 T3) + (uf_210 T4 T5 T2) + (uf_180 T3 T15 T2) + (uf_252 T3) + (uf_64 Int Int T5) + (uf_98 Int Int Int Int Int) + (uf_277 Int) + (uf_164 T4 T2) + (uf_21 T4 T4 T6 T2) + (uf_115 T5 T5 Int) + (uf_167 T5) + (uf_30 Int T10) + (uf_168 Int) + (uf_17 T4 T4 T6 T2) + (uf_31 T10 Int) + (uf_239 T5 T15 Int) + (uf_166 T3) + (uf_191 T4 T2) + (uf_129 T5 T3 Int T6) + (uf_123 T4 T4 T5 T3 T2) + (uf_223 T15 T15) + (uf_158 T5 T6) + (uf_137 T4 T5 T3 Int T2 T2) + (uf_204 T4 T4 T5 T3 T2) + (uf_187 T15 Int T2) + (uf_2 T1) + (uf_190 T15 T2) + (uf_194 T15 Int T3 T2) + (uf_273 T4) + (uf_270 Int) + (uf_294 Int) + (uf_302 Int) + (uf_297 Int) + (uf_269 Int) + (uf_274 Int) + (uf_272 Int) + (uf_285 Int) + (uf_292 Int) + (uf_304 Int) + (uf_300 Int) + (uf_296 Int) + (uf_299 Int) + (uf_271 Int) + (uf_282 Int) + (uf_293 Int) + (uf_301 Int) + (uf_298 Int) + ) +:extrapreds ( + (up_199 T4 T5 T16) + (up_146 T5 T6) + (up_213 T14) + (up_209 T4 T5 T3) + (up_250 T3 T3) + (up_218 T11) + (up_36 T3) + (up_1 Int T1) + (up_212 T11) + (up_3 Int T3) + (up_182 Int) + (up_244 T15) + (up_216) + (up_193 T2) + (up_280 T4 T1 T1 Int T3) + (up_52 T6) + (up_68 T14) + (up_278 T4 T1 T1 T5 T3) + (up_197 T3) + (up_165 T4) + (up_205 T4 T4 T5 T3) + ) +:assumption (up_1 1 uf_2) +:assumption (up_3 1 uf_4) +:assumption (= uf_5 (uf_6 uf_7)) +:assumption (forall (?x1 T4) (?x2 T4) (?x3 T5) (?x4 T6) (iff (= (uf_8 ?x1 ?x2 ?x3 ?x4) uf_9) (and (= (uf_10 ?x1 ?x3) (uf_10 ?x2 ?x3)) (forall (?x5 T5) (implies (and (not (= (uf_13 ?x5 ?x4) uf_9)) (= (uf_14 (uf_15 ?x5)) uf_16)) (= (uf_11 (uf_12 ?x1 ?x3) ?x5) (uf_11 (uf_12 ?x2 ?x3) ?x5))) :pat { (uf_11 (uf_12 ?x2 ?x3) ?x5) }))) :pat { (uf_8 ?x1 ?x2 ?x3 ?x4) }) +:assumption (forall (?x6 T4) (?x7 T4) (?x8 T6) (implies (forall (?x9 T5) (implies (and (not (= (uf_14 (uf_15 ?x9)) uf_16)) (= (uf_13 ?x9 ?x8) uf_9)) (or (= (uf_8 ?x6 ?x7 ?x9 ?x8) uf_9) (= (uf_19 (uf_20 ?x6) ?x9) (uf_19 (uf_20 ?x7) ?x9)))) :pat { (uf_18 ?x9) }) (= (uf_17 ?x6 ?x7 ?x8) uf_9)) :pat { (uf_17 ?x6 ?x7 ?x8) }) +:assumption (forall (?x10 T4) (?x11 T4) (?x12 T6) (implies (forall (?x13 T5) (implies (or (= (uf_22 (uf_15 ?x13)) uf_9) (= (uf_23 (uf_15 ?x13)) uf_9)) (implies (and (not (or (and (= (uf_24 ?x10 ?x13) uf_9) (= (uf_14 (uf_15 ?x13)) uf_16)) (not (= (uf_25 ?x10 ?x13) uf_26)))) (= (uf_27 ?x10 ?x13) uf_9)) (or (= (uf_13 ?x13 ?x12) uf_9) (= (uf_19 (uf_20 ?x10) ?x13) (uf_19 (uf_20 ?x11) ?x13))))) :pat { (uf_18 ?x13) }) (= (uf_21 ?x10 ?x11 ?x12) uf_9)) :pat { (uf_21 ?x10 ?x11 ?x12) }) +:assumption (forall (?x14 T5) (= (uf_28 (uf_29 ?x14)) ?x14)) +:assumption (forall (?x15 T10) (= (uf_30 (uf_31 ?x15)) ?x15)) +:assumption (forall (?x16 T7) (= (uf_32 (uf_33 ?x16)) ?x16)) +:assumption (forall (?x17 T6) (= (uf_34 (uf_35 ?x17)) ?x17)) +:assumption (up_36 uf_37) +:assumption (forall (?x18 T4) (?x19 T5) (= (uf_38 ?x18 ?x19) (uf_39 (uf_40 (uf_41 ?x18) ?x19))) :pat { (uf_38 ?x18 ?x19) }) +:assumption (= uf_42 (uf_43 uf_37 0)) +:assumption (forall (?x20 T4) (?x21 T5) (implies (and (= (uf_45 ?x20 ?x21) uf_9) (= (uf_44 ?x20) uf_9)) (= (uf_46 ?x20 ?x20 ?x21 (uf_15 ?x21)) uf_9)) :pat { (uf_44 ?x20) (uf_45 ?x20 ?x21) }) +:assumption (forall (?x22 T4) (?x23 T5) (iff (= (uf_45 ?x22 ?x23) uf_9) (= (uf_24 ?x22 ?x23) uf_9)) :pat { (uf_45 ?x22 ?x23) }) +:assumption (forall (?x24 T4) (?x25 T5) (iff (= (uf_47 ?x24 ?x25) uf_9) (and (or (= (uf_38 ?x24 ?x25) 0) (not (up_36 (uf_15 ?x25)))) (and (= (uf_22 (uf_15 ?x25)) uf_9) (and (not (= (uf_14 (uf_15 ?x25)) uf_16)) (and (= (uf_27 ?x24 ?x25) uf_9) (and (= (uf_48 ?x25 (uf_15 ?x25)) uf_9) (and (= (uf_25 ?x24 ?x25) uf_26) (= (uf_24 ?x24 ?x25) uf_9)))))))) :pat { (uf_47 ?x24 ?x25) }) +:assumption (forall (?x26 T4) (?x27 T5) (?x28 Int) (implies (and (= (uf_50 ?x27 (uf_43 uf_37 ?x28)) uf_9) (= (uf_49 ?x26 ?x27) uf_9)) (= (uf_49 ?x26 (uf_43 uf_37 ?x28)) uf_9)) :pat { (uf_49 ?x26 ?x27) (uf_50 ?x27 (uf_43 uf_37 ?x28)) }) +:assumption (forall (?x29 T4) (?x30 T5) (?x31 T5) (implies (and (= (uf_50 ?x30 ?x31) uf_9) (= (uf_49 ?x29 ?x30) uf_9)) (= (uf_46 ?x29 ?x29 ?x31 (uf_15 ?x31)) uf_9)) :pat { (uf_49 ?x29 ?x30) (uf_50 ?x30 ?x31) }) +:assumption (forall (?x32 T4) (?x33 T5) (?x34 T5) (implies (= (uf_51 ?x32) uf_9) (implies (and (= (uf_24 ?x32 ?x33) uf_9) (= (uf_50 ?x33 ?x34) uf_9)) (and (< 0 (uf_38 ?x32 ?x34)) (and (= (uf_24 ?x32 ?x34) uf_9) (up_52 (uf_53 ?x32 ?x34)))))) :pat { (uf_24 ?x32 ?x33) (uf_50 ?x33 ?x34) }) +:assumption (forall (?x35 T4) (?x36 T5) (?x37 T5) (implies (and (= (uf_54 ?x36 ?x37) uf_9) (= (uf_49 ?x35 ?x36) uf_9)) (= (uf_49 ?x35 ?x37) uf_9)) :pat { (uf_49 ?x35 ?x36) (uf_54 ?x36 ?x37) }) +:assumption (forall (?x38 T5) (?x39 T5) (implies (and (forall (?x40 T4) (implies (= (uf_49 ?x40 ?x38) uf_9) (= (uf_24 ?x40 ?x39) uf_9))) (and (= (uf_48 ?x39 uf_37) uf_9) (= (uf_48 ?x38 uf_37) uf_9))) (= (uf_54 ?x38 ?x39) uf_9)) :pat { (uf_54 ?x38 ?x39) }) +:assumption (forall (?x41 T4) (?x42 T5) (implies (= (uf_49 ?x41 ?x42) uf_9) (and (= (uf_44 ?x41) uf_9) (= (uf_24 ?x41 ?x42) uf_9))) :pat { (uf_49 ?x41 ?x42) }) +:assumption (forall (?x43 T4) (?x44 T5) (implies (and (= (uf_24 ?x43 ?x44) uf_9) (= (uf_55 ?x43) uf_9)) (= (uf_49 ?x43 ?x44) uf_9)) :pat { (uf_55 ?x43) (uf_49 ?x43 ?x44) }) +:assumption (forall (?x45 T3) (implies (= (uf_56 ?x45) uf_9) (= (uf_23 ?x45) uf_9)) :pat { (uf_56 ?x45) }) +:assumption (forall (?x46 T3) (implies (= (uf_57 ?x46) uf_9) (= (uf_23 ?x46) uf_9)) :pat { (uf_57 ?x46) }) +:assumption (forall (?x47 T4) (?x48 Int) (?x49 T3) (implies (and (= (uf_51 ?x47) uf_9) (= (uf_56 ?x49) uf_9)) (= (uf_61 ?x47 (uf_60 ?x48 ?x49)) uf_9)) :pat { (uf_58 (uf_59 ?x47) (uf_60 ?x48 ?x49)) } :pat { (uf_40 (uf_41 ?x47) (uf_60 ?x48 ?x49)) }) +:assumption (forall (?x50 Int) (= (uf_62 (uf_63 ?x50)) ?x50)) +:assumption (forall (?x51 Int) (?x52 T3) (= (uf_60 ?x51 ?x52) (uf_43 ?x52 (uf_63 ?x51))) :pat { (uf_60 ?x51 ?x52) }) +:assumption (forall (?x53 Int) (?x54 Int) (?x55 T4) (implies (= (uf_51 ?x55) uf_9) (and (forall (?x56 Int) (implies (and (< ?x56 ?x54) (<= 0 ?x56)) (and (= (uf_67 ?x55 (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) uf_9) (and (= (uf_48 (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7) uf_7) uf_9) (up_68 (uf_58 (uf_59 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)))))) :pat { (uf_40 (uf_41 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) } :pat { (uf_58 (uf_59 ?x55) (uf_66 (uf_64 ?x53 ?x54) ?x56 uf_7)) }) (= (uf_27 ?x55 (uf_64 ?x53 ?x54)) uf_9))) :pat { (uf_27 ?x55 (uf_64 ?x53 ?x54)) } :pat { (uf_65 ?x55 (uf_64 ?x53 ?x54) uf_7 ?x54) }) +:assumption (forall (?x57 Int) (?x58 Int) (= (uf_48 (uf_64 ?x57 ?x58) uf_7) uf_9) :pat { (uf_64 ?x57 ?x58) }) +:assumption (forall (?x59 Int) (?x60 Int) (= (uf_69 ?x59 ?x60) (+ ?x59 ?x60)) :pat { (uf_69 ?x59 ?x60) }) +:assumption (forall (?x61 T3) (?x62 Int) (?x63 Int) (= (uf_70 ?x61 ?x62 ?x63) (uf_70 ?x61 ?x63 ?x62)) :pat { (uf_70 ?x61 ?x62 ?x63) }) +:assumption (forall (?x64 T3) (?x65 Int) (?x66 Int) (= (uf_71 ?x64 ?x65 ?x66) (uf_71 ?x64 ?x66 ?x65)) :pat { (uf_71 ?x64 ?x65 ?x66) }) +:assumption (forall (?x67 T3) (?x68 Int) (?x69 Int) (= (uf_72 ?x67 ?x68 ?x69) (uf_72 ?x67 ?x69 ?x68)) :pat { (uf_72 ?x67 ?x68 ?x69) }) +:assumption (forall (?x70 T3) (?x71 Int) (implies (= (uf_74 ?x70 ?x71) uf_9) (= (uf_73 ?x70 (uf_73 ?x70 ?x71)) ?x71)) :pat { (uf_73 ?x70 (uf_73 ?x70 ?x71)) }) +:assumption (forall (?x72 T3) (?x73 Int) (= (uf_71 ?x72 ?x73 (uf_73 ?x72 0)) (uf_73 ?x72 ?x73)) :pat { (uf_71 ?x72 ?x73 (uf_73 ?x72 0)) }) +:assumption (forall (?x74 T3) (?x75 Int) (= (uf_71 ?x74 ?x75 ?x75) 0) :pat { (uf_71 ?x74 ?x75 ?x75) }) +:assumption (forall (?x76 T3) (?x77 Int) (implies (= (uf_74 ?x76 ?x77) uf_9) (= (uf_71 ?x76 ?x77 0) ?x77)) :pat { (uf_71 ?x76 ?x77 0) }) +:assumption (forall (?x78 T3) (?x79 Int) (?x80 Int) (= (uf_70 ?x78 (uf_72 ?x78 ?x79 ?x80) ?x79) ?x79) :pat { (uf_70 ?x78 (uf_72 ?x78 ?x79 ?x80) ?x79) }) +:assumption (forall (?x81 T3) (?x82 Int) (?x83 Int) (= (uf_70 ?x81 (uf_72 ?x81 ?x82 ?x83) ?x83) ?x83) :pat { (uf_70 ?x81 (uf_72 ?x81 ?x82 ?x83) ?x83) }) +:assumption (forall (?x84 T3) (?x85 Int) (implies (= (uf_74 ?x84 ?x85) uf_9) (= (uf_70 ?x84 ?x85 ?x85) ?x85)) :pat { (uf_70 ?x84 ?x85 ?x85) }) +:assumption (forall (?x86 T3) (?x87 Int) (implies (= (uf_74 ?x86 ?x87) uf_9) (= (uf_70 ?x86 ?x87 (uf_73 ?x86 0)) ?x87)) :pat { (uf_70 ?x86 ?x87 (uf_73 ?x86 0)) }) +:assumption (forall (?x88 T3) (?x89 Int) (= (uf_70 ?x88 ?x89 0) 0) :pat { (uf_70 ?x88 ?x89 0) }) +:assumption (forall (?x90 T3) (?x91 Int) (implies (= (uf_74 ?x90 ?x91) uf_9) (= (uf_72 ?x90 ?x91 ?x91) ?x91)) :pat { (uf_72 ?x90 ?x91 ?x91) }) +:assumption (forall (?x92 T3) (?x93 Int) (= (uf_72 ?x92 ?x93 (uf_73 ?x92 0)) (uf_73 ?x92 0)) :pat { (uf_72 ?x92 ?x93 (uf_73 ?x92 0)) }) +:assumption (forall (?x94 T3) (?x95 Int) (implies (= (uf_74 ?x94 ?x95) uf_9) (= (uf_72 ?x94 ?x95 0) ?x95)) :pat { (uf_72 ?x94 ?x95 0) }) +:assumption (forall (?x96 T3) (?x97 Int) (= (uf_70 ?x96 ?x97 (uf_73 ?x96 ?x97)) 0) :pat { (uf_70 ?x96 ?x97 (uf_73 ?x96 ?x97)) }) +:assumption (forall (?x98 T3) (?x99 Int) (= (uf_72 ?x98 ?x99 (uf_73 ?x98 ?x99)) (uf_73 ?x98 0)) :pat { (uf_72 ?x98 ?x99 (uf_73 ?x98 ?x99)) }) +:assumption (forall (?x100 T3) (?x101 Int) (= (uf_74 ?x100 (uf_73 ?x100 ?x101)) uf_9) :pat { (uf_73 ?x100 ?x101) }) +:assumption (forall (?x102 T3) (?x103 Int) (?x104 Int) (implies (and (<= ?x104 uf_75) (and (<= 0 ?x104) (and (<= ?x103 uf_75) (<= 0 ?x103)))) (and (<= (uf_71 ?x102 ?x103 ?x104) uf_75) (<= 0 (uf_71 ?x102 ?x103 ?x104)))) :pat { (uf_71 ?x102 ?x103 ?x104) }) +:assumption (forall (?x105 T3) (?x106 Int) (?x107 Int) (implies (and (<= ?x107 uf_76) (and (<= 0 ?x107) (and (<= ?x106 uf_76) (<= 0 ?x106)))) (and (<= (uf_71 ?x105 ?x106 ?x107) uf_76) (<= 0 (uf_71 ?x105 ?x106 ?x107)))) :pat { (uf_71 ?x105 ?x106 ?x107) }) +:assumption (forall (?x108 T3) (?x109 Int) (?x110 Int) (implies (and (<= ?x110 uf_77) (and (<= 0 ?x110) (and (<= ?x109 uf_77) (<= 0 ?x109)))) (and (<= (uf_71 ?x108 ?x109 ?x110) uf_77) (<= 0 (uf_71 ?x108 ?x109 ?x110)))) :pat { (uf_71 ?x108 ?x109 ?x110) }) +:assumption (forall (?x111 T3) (?x112 Int) (?x113 Int) (implies (and (<= ?x113 uf_78) (and (<= 0 ?x113) (and (<= ?x112 uf_78) (<= 0 ?x112)))) (and (<= (uf_71 ?x111 ?x112 ?x113) uf_78) (<= 0 (uf_71 ?x111 ?x112 ?x113)))) :pat { (uf_71 ?x111 ?x112 ?x113) }) +:assumption (forall (?x114 T3) (?x115 Int) (?x116 Int) (implies (and (<= ?x116 uf_75) (and (<= 0 ?x116) (and (<= ?x115 uf_75) (<= 0 ?x115)))) (and (<= (uf_70 ?x114 ?x115 ?x116) uf_75) (<= 0 (uf_70 ?x114 ?x115 ?x116)))) :pat { (uf_70 ?x114 ?x115 ?x116) }) +:assumption (forall (?x117 T3) (?x118 Int) (?x119 Int) (implies (and (<= ?x119 uf_76) (and (<= 0 ?x119) (and (<= ?x118 uf_76) (<= 0 ?x118)))) (and (<= (uf_70 ?x117 ?x118 ?x119) uf_76) (<= 0 (uf_70 ?x117 ?x118 ?x119)))) :pat { (uf_70 ?x117 ?x118 ?x119) }) +:assumption (forall (?x120 T3) (?x121 Int) (?x122 Int) (implies (and (<= ?x122 uf_77) (and (<= 0 ?x122) (and (<= ?x121 uf_77) (<= 0 ?x121)))) (and (<= (uf_70 ?x120 ?x121 ?x122) uf_77) (<= 0 (uf_70 ?x120 ?x121 ?x122)))) :pat { (uf_70 ?x120 ?x121 ?x122) }) +:assumption (forall (?x123 T3) (?x124 Int) (?x125 Int) (implies (and (<= ?x125 uf_78) (and (<= 0 ?x125) (and (<= ?x124 uf_78) (<= 0 ?x124)))) (and (<= (uf_70 ?x123 ?x124 ?x125) uf_78) (<= 0 (uf_70 ?x123 ?x124 ?x125)))) :pat { (uf_70 ?x123 ?x124 ?x125) }) +:assumption (forall (?x126 T3) (?x127 Int) (?x128 Int) (implies (and (<= ?x128 uf_75) (and (<= 0 ?x128) (and (<= ?x127 uf_75) (<= 0 ?x127)))) (and (<= (uf_72 ?x126 ?x127 ?x128) uf_75) (<= 0 (uf_72 ?x126 ?x127 ?x128)))) :pat { (uf_72 ?x126 ?x127 ?x128) }) +:assumption (forall (?x129 T3) (?x130 Int) (?x131 Int) (implies (and (<= ?x131 uf_76) (and (<= 0 ?x131) (and (<= ?x130 uf_76) (<= 0 ?x130)))) (and (<= (uf_72 ?x129 ?x130 ?x131) uf_76) (<= 0 (uf_72 ?x129 ?x130 ?x131)))) :pat { (uf_72 ?x129 ?x130 ?x131) }) +:assumption (forall (?x132 T3) (?x133 Int) (?x134 Int) (implies (and (<= ?x134 uf_77) (and (<= 0 ?x134) (and (<= ?x133 uf_77) (<= 0 ?x133)))) (and (<= (uf_72 ?x132 ?x133 ?x134) uf_77) (<= 0 (uf_72 ?x132 ?x133 ?x134)))) :pat { (uf_72 ?x132 ?x133 ?x134) }) +:assumption (forall (?x135 T3) (?x136 Int) (?x137 Int) (implies (and (<= ?x137 uf_78) (and (<= 0 ?x137) (and (<= ?x136 uf_78) (<= 0 ?x136)))) (and (<= (uf_72 ?x135 ?x136 ?x137) uf_78) (<= 0 (uf_72 ?x135 ?x136 ?x137)))) :pat { (uf_72 ?x135 ?x136 ?x137) }) +:assumption (forall (?x138 T3) (?x139 Int) (?x140 Int) (?x141 Int) (implies (and (= (uf_74 ?x138 ?x140) uf_9) (and (= (uf_74 ?x138 ?x139) uf_9) (and (< ?x140 (uf_79 ?x141)) (and (< ?x139 (uf_79 ?x141)) (and (< ?x141 64) (and (<= 0 ?x141) (and (<= 0 ?x140) (<= 0 ?x139)))))))) (< (uf_72 ?x138 ?x139 ?x140) (uf_79 ?x141))) :pat { (uf_72 ?x138 ?x139 ?x140) (uf_79 ?x141) }) +:assumption (forall (?x142 T3) (?x143 Int) (?x144 Int) (implies (and (= (uf_74 ?x142 ?x144) uf_9) (and (= (uf_74 ?x142 ?x143) uf_9) (and (<= 0 ?x144) (<= 0 ?x143)))) (and (<= ?x144 (uf_72 ?x142 ?x143 ?x144)) (<= ?x143 (uf_72 ?x142 ?x143 ?x144)))) :pat { (uf_72 ?x142 ?x143 ?x144) }) +:assumption (forall (?x145 T3) (?x146 Int) (?x147 Int) (implies (and (= (uf_74 ?x145 ?x147) uf_9) (and (= (uf_74 ?x145 ?x146) uf_9) (and (<= 0 ?x147) (<= 0 ?x146)))) (and (<= (uf_72 ?x145 ?x146 ?x147) (+ ?x146 ?x147)) (<= 0 (uf_72 ?x145 ?x146 ?x147)))) :pat { (uf_72 ?x145 ?x146 ?x147) }) +:assumption (forall (?x148 T3) (?x149 Int) (?x150 Int) (implies (and (= (uf_74 ?x148 ?x150) uf_9) (and (= (uf_74 ?x148 ?x149) uf_9) (and (<= 0 ?x150) (<= 0 ?x149)))) (and (<= (uf_70 ?x148 ?x149 ?x150) ?x150) (<= (uf_70 ?x148 ?x149 ?x150) ?x149))) :pat { (uf_70 ?x148 ?x149 ?x150) }) +:assumption (forall (?x151 T3) (?x152 Int) (?x153 Int) (implies (and (= (uf_74 ?x151 ?x152) uf_9) (<= 0 ?x152)) (and (<= (uf_70 ?x151 ?x152 ?x153) ?x152) (<= 0 (uf_70 ?x151 ?x152 ?x153)))) :pat { (uf_70 ?x151 ?x152 ?x153) }) +:assumption (forall (?x154 Int) (?x155 Int) (implies (and (< ?x155 0) (<= ?x154 0)) (and (<= (uf_80 ?x154 ?x155) 0) (< ?x155 (uf_80 ?x154 ?x155)))) :pat { (uf_80 ?x154 ?x155) }) +:assumption (forall (?x156 Int) (?x157 Int) (implies (and (< 0 ?x157) (<= ?x156 0)) (and (<= (uf_80 ?x156 ?x157) 0) (< (+ 0 ?x157) (uf_80 ?x156 ?x157)))) :pat { (uf_80 ?x156 ?x157) }) +:assumption (forall (?x158 Int) (?x159 Int) (implies (and (< ?x159 0) (<= 0 ?x158)) (and (< (uf_80 ?x158 ?x159) (+ 0 ?x159)) (<= 0 (uf_80 ?x158 ?x159)))) :pat { (uf_80 ?x158 ?x159) }) +:assumption (forall (?x160 Int) (?x161 Int) (implies (and (< 0 ?x161) (<= 0 ?x160)) (and (< (uf_80 ?x160 ?x161) ?x161) (<= 0 (uf_80 ?x160 ?x161)))) :pat { (uf_80 ?x160 ?x161) }) +:assumption (forall (?x162 Int) (?x163 Int) (= (uf_80 ?x162 ?x163) (+ ?x162 (+ (uf_81 ?x162 ?x163) ?x163))) :pat { (uf_80 ?x162 ?x163) } :pat { (uf_81 ?x162 ?x163) }) +:assumption (forall (?x164 Int) (implies (not (= ?x164 0)) (= (uf_81 ?x164 ?x164) 1)) :pat { (uf_81 ?x164 ?x164) }) +:assumption (forall (?x165 Int) (?x166 Int) (implies (and (< 0 ?x166) (< 0 ?x165)) (and (<= (+ (uf_81 ?x165 ?x166) ?x166) ?x165) (< (+ ?x165 ?x166) (+ (uf_81 ?x165 ?x166) ?x166)))) :pat { (uf_81 ?x165 ?x166) }) +:assumption (forall (?x167 Int) (?x168 Int) (implies (and (< 0 ?x168) (<= 0 ?x167)) (<= (uf_81 ?x167 ?x168) ?x167)) :pat { (uf_81 ?x167 ?x168) }) +:assumption (forall (?x169 T3) (?x170 Int) (?x171 Int) (?x172 Int) (implies (and (<= 0 ?x170) (and (= (uf_74 ?x169 (+ (uf_79 ?x171) 1)) uf_9) (= (uf_74 ?x169 ?x170) uf_9))) (= (uf_80 ?x170 (uf_79 ?x171)) (uf_70 ?x169 ?x170 (+ (uf_79 ?x171) 1)))) :pat { (uf_80 ?x170 (uf_79 ?x171)) (uf_70 ?x169 ?x170 ?x172) }) +:assumption (forall (?x173 Int) (implies (and (<= ?x173 uf_85) (<= uf_86 ?x173)) (= (uf_82 uf_83 (uf_82 uf_84 ?x173)) ?x173)) :pat { (uf_82 uf_83 (uf_82 uf_84 ?x173)) }) +:assumption (forall (?x174 Int) (implies (and (<= ?x174 uf_88) (<= uf_89 ?x174)) (= (uf_82 uf_87 (uf_82 uf_4 ?x174)) ?x174)) :pat { (uf_82 uf_87 (uf_82 uf_4 ?x174)) }) +:assumption (forall (?x175 Int) (implies (and (<= ?x175 uf_92) (<= uf_93 ?x175)) (= (uf_82 uf_90 (uf_82 uf_91 ?x175)) ?x175)) :pat { (uf_82 uf_90 (uf_82 uf_91 ?x175)) }) +:assumption (forall (?x176 Int) (implies (and (<= ?x176 uf_95) (<= uf_96 ?x176)) (= (uf_82 uf_94 (uf_82 uf_7 ?x176)) ?x176)) :pat { (uf_82 uf_94 (uf_82 uf_7 ?x176)) }) +:assumption (forall (?x177 Int) (implies (and (<= ?x177 uf_75) (<= 0 ?x177)) (= (uf_82 uf_84 (uf_82 uf_83 ?x177)) ?x177)) :pat { (uf_82 uf_84 (uf_82 uf_83 ?x177)) }) +:assumption (forall (?x178 Int) (implies (and (<= ?x178 uf_76) (<= 0 ?x178)) (= (uf_82 uf_4 (uf_82 uf_87 ?x178)) ?x178)) :pat { (uf_82 uf_4 (uf_82 uf_87 ?x178)) }) +:assumption (forall (?x179 Int) (implies (and (<= ?x179 uf_77) (<= 0 ?x179)) (= (uf_82 uf_91 (uf_82 uf_90 ?x179)) ?x179)) :pat { (uf_82 uf_91 (uf_82 uf_90 ?x179)) }) +:assumption (forall (?x180 Int) (implies (and (<= ?x180 uf_78) (<= 0 ?x180)) (= (uf_82 uf_7 (uf_82 uf_94 ?x180)) ?x180)) :pat { (uf_82 uf_7 (uf_82 uf_94 ?x180)) }) +:assumption (forall (?x181 T3) (?x182 Int) (= (uf_74 ?x181 (uf_82 ?x181 ?x182)) uf_9) :pat { (uf_82 ?x181 ?x182) }) +:assumption (forall (?x183 T3) (?x184 Int) (implies (= (uf_74 ?x183 ?x184) uf_9) (= (uf_82 ?x183 ?x184) ?x184)) :pat { (uf_82 ?x183 ?x184) }) +:assumption (forall (?x185 Int) (iff (= (uf_74 uf_84 ?x185) uf_9) (and (<= ?x185 uf_75) (<= 0 ?x185))) :pat { (uf_74 uf_84 ?x185) }) +:assumption (forall (?x186 Int) (iff (= (uf_74 uf_4 ?x186) uf_9) (and (<= ?x186 uf_76) (<= 0 ?x186))) :pat { (uf_74 uf_4 ?x186) }) +:assumption (forall (?x187 Int) (iff (= (uf_74 uf_91 ?x187) uf_9) (and (<= ?x187 uf_77) (<= 0 ?x187))) :pat { (uf_74 uf_91 ?x187) }) +:assumption (forall (?x188 Int) (iff (= (uf_74 uf_7 ?x188) uf_9) (and (<= ?x188 uf_78) (<= 0 ?x188))) :pat { (uf_74 uf_7 ?x188) }) +:assumption (forall (?x189 Int) (iff (= (uf_74 uf_83 ?x189) uf_9) (and (<= ?x189 uf_85) (<= uf_86 ?x189))) :pat { (uf_74 uf_83 ?x189) }) +:assumption (forall (?x190 Int) (iff (= (uf_74 uf_87 ?x190) uf_9) (and (<= ?x190 uf_88) (<= uf_89 ?x190))) :pat { (uf_74 uf_87 ?x190) }) +:assumption (forall (?x191 Int) (iff (= (uf_74 uf_90 ?x191) uf_9) (and (<= ?x191 uf_92) (<= uf_93 ?x191))) :pat { (uf_74 uf_90 ?x191) }) +:assumption (forall (?x192 Int) (iff (= (uf_74 uf_94 ?x192) uf_9) (and (<= ?x192 uf_95) (<= uf_96 ?x192))) :pat { (uf_74 uf_94 ?x192) }) +:assumption (forall (?x193 Int) (?x194 Int) (?x195 Int) (?x196 Int) (implies (and (<= (uf_79 (+ (+ ?x194 ?x193) 1)) (uf_80 (uf_81 ?x195 (uf_79 ?x193)) (uf_79 (+ ?x194 ?x193)))) (and (<= 0 ?x195) (and (<= ?x194 ?x196) (and (< ?x193 ?x194) (<= 0 ?x193))))) (= (uf_97 ?x195 ?x196 ?x193 ?x194) (+ (uf_79 (+ (+ ?x194 ?x193) 1)) (uf_80 (uf_81 ?x195 (uf_79 ?x193)) (uf_79 (+ ?x194 ?x193)))))) :pat { (uf_97 ?x195 ?x196 ?x193 ?x194) }) +:assumption (forall (?x197 Int) (?x198 Int) (?x199 Int) (?x200 Int) (implies (and (< (uf_80 (uf_81 ?x199 (uf_79 ?x197)) (uf_79 (+ ?x198 ?x197))) (uf_79 (+ (+ ?x198 ?x197) 1))) (and (<= 0 ?x199) (and (<= ?x198 ?x200) (and (< ?x197 ?x198) (<= 0 ?x197))))) (= (uf_97 ?x199 ?x200 ?x197 ?x198) (uf_80 (uf_81 ?x199 (uf_79 ?x197)) (uf_79 (+ ?x198 ?x197))))) :pat { (uf_97 ?x199 ?x200 ?x197 ?x198) }) +:assumption (forall (?x201 Int) (?x202 Int) (?x203 Int) (?x204 Int) (implies (and (<= 0 ?x203) (and (<= ?x202 ?x204) (and (< ?x201 ?x202) (<= 0 ?x201)))) (= (uf_98 ?x203 ?x204 ?x201 ?x202) (uf_80 (uf_81 ?x203 (uf_79 ?x201)) (uf_79 (+ ?x202 ?x201))))) :pat { (uf_98 ?x203 ?x204 ?x201 ?x202) }) +:assumption (forall (?x205 Int) (?x206 Int) (?x207 Int) (implies (and (<= ?x206 ?x207) (and (< ?x205 ?x206) (<= 0 ?x205))) (= (uf_98 0 ?x207 ?x205 ?x206) 0)) :pat { (uf_98 0 ?x207 ?x205 ?x206) }) +:assumption (forall (?x208 Int) (?x209 Int) (?x210 Int) (implies (and (<= ?x209 ?x210) (and (< ?x208 ?x209) (<= 0 ?x208))) (= (uf_97 0 ?x210 ?x208 ?x209) 0)) :pat { (uf_97 0 ?x210 ?x208 ?x209) }) +:assumption (forall (?x211 Int) (?x212 Int) (?x213 Int) (?x214 Int) (?x215 Int) (?x216 Int) (?x217 Int) (implies (and (<= ?x212 ?x215) (and (< ?x211 ?x212) (<= 0 ?x211))) (implies (and (<= ?x217 ?x215) (and (< ?x216 ?x217) (<= 0 ?x216))) (implies (or (<= ?x212 ?x216) (<= ?x217 ?x211)) (= (uf_98 (uf_99 ?x214 ?x215 ?x211 ?x212 ?x213) ?x215 ?x216 ?x217) (uf_98 ?x214 ?x215 ?x216 ?x217))))) :pat { (uf_98 (uf_99 ?x214 ?x215 ?x211 ?x212 ?x213) ?x215 ?x216 ?x217) }) +:assumption (forall (?x218 Int) (?x219 Int) (?x220 Int) (?x221 Int) (?x222 Int) (?x223 Int) (?x224 Int) (implies (and (<= ?x219 ?x222) (and (< ?x218 ?x219) (<= 0 ?x218))) (implies (and (<= ?x224 ?x222) (and (< ?x223 ?x224) (<= 0 ?x223))) (implies (or (<= ?x219 ?x223) (<= ?x224 ?x218)) (= (uf_97 (uf_99 ?x221 ?x222 ?x218 ?x219 ?x220) ?x222 ?x223 ?x224) (uf_97 ?x221 ?x222 ?x223 ?x224))))) :pat { (uf_97 (uf_99 ?x221 ?x222 ?x218 ?x219 ?x220) ?x222 ?x223 ?x224) }) +:assumption (forall (?x225 Int) (?x226 Int) (?x227 Int) (?x228 Int) (implies (and (<= ?x226 ?x228) (and (< ?x225 ?x226) (<= 0 ?x225))) (and (<= (uf_98 ?x227 ?x228 ?x225 ?x226) (+ (uf_79 (+ ?x226 ?x225)) 1)) (<= 0 (uf_98 ?x227 ?x228 ?x225 ?x226)))) :pat { (uf_98 ?x227 ?x228 ?x225 ?x226) }) +:assumption (forall (?x229 Int) (?x230 Int) (?x231 Int) (?x232 Int) (implies (and (<= ?x230 ?x232) (and (< ?x229 ?x230) (<= 0 ?x229))) (and (<= (uf_97 ?x231 ?x232 ?x229 ?x230) (+ (uf_79 (+ (+ ?x230 ?x229) 1)) 1)) (<= (+ 0 (uf_79 (+ (+ ?x230 ?x229) 1))) (uf_97 ?x231 ?x232 ?x229 ?x230)))) :pat { (uf_97 ?x231 ?x232 ?x229 ?x230) }) +:assumption (forall (?x233 Int) (?x234 Int) (?x235 Int) (?x236 Int) (?x237 Int) (implies (and (<= ?x234 ?x237) (and (< ?x233 ?x234) (<= 0 ?x233))) (implies (and (< ?x235 (uf_79 (+ ?x234 ?x233))) (<= 0 ?x235)) (= (uf_98 (uf_99 ?x236 ?x237 ?x233 ?x234 ?x235) ?x237 ?x233 ?x234) ?x235))) :pat { (uf_98 (uf_99 ?x236 ?x237 ?x233 ?x234 ?x235) ?x237 ?x233 ?x234) }) +:assumption (forall (?x238 Int) (?x239 Int) (?x240 Int) (?x241 Int) (?x242 Int) (implies (and (<= ?x239 ?x242) (and (< ?x238 ?x239) (<= 0 ?x238))) (implies (and (< ?x240 (uf_79 (+ (+ ?x239 ?x238) 1))) (<= (+ 0 (uf_79 (+ (+ ?x239 ?x238) 1))) ?x240)) (= (uf_97 (uf_99 ?x241 ?x242 ?x238 ?x239 ?x240) ?x242 ?x238 ?x239) ?x240))) :pat { (uf_97 (uf_99 ?x241 ?x242 ?x238 ?x239 ?x240) ?x242 ?x238 ?x239) }) +:assumption (forall (?x243 Int) (?x244 Int) (?x245 Int) (implies (and (<= ?x244 ?x245) (and (< ?x243 ?x244) (<= 0 ?x243))) (= (uf_99 0 ?x245 ?x243 ?x244 0) 0)) :pat { (uf_99 0 ?x245 ?x243 ?x244 0) }) +:assumption (forall (?x246 Int) (?x247 Int) (?x248 Int) (?x249 Int) (?x250 Int) (implies (and (<= ?x248 ?x249) (and (< ?x247 ?x248) (<= 0 ?x247))) (implies (and (< ?x250 (uf_79 (+ ?x248 ?x247))) (<= 0 ?x250)) (and (< (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250) (uf_79 ?x249)) (<= 0 (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250))))) :pat { (uf_99 ?x246 ?x249 ?x247 ?x248 ?x250) }) +:assumption (forall (?x251 Int) (?x252 Int) (= (uf_100 ?x251 ?x252) (uf_81 ?x251 (uf_79 ?x252))) :pat { (uf_100 ?x251 ?x252) }) +:assumption (forall (?x253 T3) (?x254 Int) (?x255 Int) (= (uf_101 ?x253 ?x254 ?x255) (uf_82 ?x253 (+ ?x254 (uf_79 ?x255)))) :pat { (uf_101 ?x253 ?x254 ?x255) }) +:assumption (forall (?x256 T3) (?x257 Int) (?x258 Int) (= (uf_102 ?x256 ?x257 ?x258) (uf_82 ?x256 (uf_80 ?x257 ?x258))) :pat { (uf_102 ?x256 ?x257 ?x258) }) +:assumption (forall (?x259 T3) (?x260 Int) (?x261 Int) (= (uf_103 ?x259 ?x260 ?x261) (uf_82 ?x259 (uf_81 ?x260 ?x261))) :pat { (uf_103 ?x259 ?x260 ?x261) }) +:assumption (forall (?x262 T3) (?x263 Int) (?x264 Int) (= (uf_104 ?x262 ?x263 ?x264) (uf_82 ?x262 (+ ?x263 ?x264))) :pat { (uf_104 ?x262 ?x263 ?x264) }) +:assumption (forall (?x265 T3) (?x266 Int) (?x267 Int) (= (uf_105 ?x265 ?x266 ?x267) (uf_82 ?x265 (+ ?x266 ?x267))) :pat { (uf_105 ?x265 ?x266 ?x267) }) +:assumption (forall (?x268 T3) (?x269 Int) (?x270 Int) (= (uf_106 ?x268 ?x269 ?x270) (uf_82 ?x268 (+ ?x269 ?x270))) :pat { (uf_106 ?x268 ?x269 ?x270) }) +:assumption (and (= (uf_79 63) 9223372036854775808) (and (= (uf_79 62) 4611686018427387904) (and (= (uf_79 61) 2305843009213693952) (and (= (uf_79 60) 1152921504606846976) (and (= (uf_79 59) 576460752303423488) (and (= (uf_79 58) 288230376151711744) (and (= (uf_79 57) 144115188075855872) (and (= (uf_79 56) 72057594037927936) (and (= (uf_79 55) 36028797018963968) (and (= (uf_79 54) 18014398509481984) (and (= (uf_79 53) 9007199254740992) (and (= (uf_79 52) 4503599627370496) (and (= (uf_79 51) 2251799813685248) (and (= (uf_79 50) 1125899906842624) (and (= (uf_79 49) 562949953421312) (and (= (uf_79 48) 281474976710656) (and (= (uf_79 47) 140737488355328) (and (= (uf_79 46) 70368744177664) (and (= (uf_79 45) 35184372088832) (and (= (uf_79 44) 17592186044416) (and (= (uf_79 43) 8796093022208) (and (= (uf_79 42) 4398046511104) (and (= (uf_79 41) 2199023255552) (and (= (uf_79 40) 1099511627776) (and (= (uf_79 39) 549755813888) (and (= (uf_79 38) 274877906944) (and (= (uf_79 37) 137438953472) (and (= (uf_79 36) 68719476736) (and (= (uf_79 35) 34359738368) (and (= (uf_79 34) 17179869184) (and (= (uf_79 33) 8589934592) (and (= (uf_79 32) 4294967296) (and (= (uf_79 31) 2147483648) (and (= (uf_79 30) 1073741824) (and (= (uf_79 29) 536870912) (and (= (uf_79 28) 268435456) (and (= (uf_79 27) 134217728) (and (= (uf_79 26) 67108864) (and (= (uf_79 25) 33554432) (and (= (uf_79 24) 16777216) (and (= (uf_79 23) 8388608) (and (= (uf_79 22) 4194304) (and (= (uf_79 21) 2097152) (and (= (uf_79 20) 1048576) (and (= (uf_79 19) 524288) (and (= (uf_79 18) 262144) (and (= (uf_79 17) 131072) (and (= (uf_79 16) 65536) (and (= (uf_79 15) 32768) (and (= (uf_79 14) 16384) (and (= (uf_79 13) 8192) (and (= (uf_79 12) 4096) (and (= (uf_79 11) 2048) (and (= (uf_79 10) 1024) (and (= (uf_79 9) 512) (and (= (uf_79 8) 256) (and (= (uf_79 7) 128) (and (= (uf_79 6) 64) (and (= (uf_79 5) 32) (and (= (uf_79 4) 16) (and (= (uf_79 3) 8) (and (= (uf_79 2) 4) (and (= (uf_79 1) 2) (= (uf_79 0) 1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) +:assumption (forall (?x271 T4) (?x272 T5) (implies (= (uf_51 ?x271) uf_9) (and (<= (uf_107 ?x271 ?x272) uf_75) (<= 0 (uf_107 ?x271 ?x272)))) :pat { (uf_107 ?x271 ?x272) }) +:assumption (forall (?x273 T4) (?x274 T5) (implies (= (uf_51 ?x273) uf_9) (and (<= (uf_108 ?x273 ?x274) uf_76) (<= 0 (uf_108 ?x273 ?x274)))) :pat { (uf_108 ?x273 ?x274) }) +:assumption (forall (?x275 T4) (?x276 T5) (implies (= (uf_51 ?x275) uf_9) (and (<= (uf_109 ?x275 ?x276) uf_77) (<= 0 (uf_109 ?x275 ?x276)))) :pat { (uf_109 ?x275 ?x276) }) +:assumption (forall (?x277 T4) (?x278 T5) (implies (= (uf_51 ?x277) uf_9) (and (<= (uf_110 ?x277 ?x278) uf_78) (<= 0 (uf_110 ?x277 ?x278)))) :pat { (uf_110 ?x277 ?x278) }) +:assumption (forall (?x279 T4) (?x280 T5) (implies (= (uf_51 ?x279) uf_9) (and (<= (uf_111 ?x279 ?x280) uf_85) (<= uf_86 (uf_111 ?x279 ?x280)))) :pat { (uf_111 ?x279 ?x280) }) +:assumption (forall (?x281 T4) (?x282 T5) (implies (= (uf_51 ?x281) uf_9) (and (<= (uf_112 ?x281 ?x282) uf_88) (<= uf_89 (uf_112 ?x281 ?x282)))) :pat { (uf_112 ?x281 ?x282) }) +:assumption (forall (?x283 T4) (?x284 T5) (implies (= (uf_51 ?x283) uf_9) (and (<= (uf_113 ?x283 ?x284) uf_92) (<= uf_93 (uf_113 ?x283 ?x284)))) :pat { (uf_113 ?x283 ?x284) }) +:assumption (forall (?x285 T4) (?x286 T5) (implies (= (uf_51 ?x285) uf_9) (and (<= (uf_114 ?x285 ?x286) uf_95) (<= uf_96 (uf_114 ?x285 ?x286)))) :pat { (uf_114 ?x285 ?x286) }) +:assumption (forall (?x287 T5) (?x288 T5) (= (uf_115 ?x287 ?x288) (+ (uf_116 ?x287) (uf_116 ?x288))) :pat { (uf_115 ?x287 ?x288) }) +:assumption (forall (?x289 T5) (implies (and (<= (uf_116 ?x289) uf_88) (<= uf_89 (uf_116 ?x289))) (= (uf_117 ?x289) (uf_116 ?x289))) :pat { (uf_117 ?x289) }) +:assumption (forall (?x290 T5) (implies (and (<= (uf_116 ?x290) uf_76) (<= 0 (uf_116 ?x290))) (= (uf_118 ?x290) (uf_116 ?x290))) :pat { (uf_118 ?x290) }) +:assumption (forall (?x291 T5) (implies (and (<= (uf_116 ?x291) uf_85) (<= uf_86 (uf_116 ?x291))) (= (uf_119 ?x291) (uf_116 ?x291))) :pat { (uf_119 ?x291) }) +:assumption (forall (?x292 T5) (implies (and (<= (uf_116 ?x292) uf_75) (<= 0 (uf_116 ?x292))) (= (uf_120 ?x292) (uf_116 ?x292))) :pat { (uf_120 ?x292) }) +:assumption (= (uf_117 uf_121) 0) +:assumption (= (uf_118 uf_121) 0) +:assumption (= (uf_119 uf_121) 0) +:assumption (= (uf_120 uf_121) 0) +:assumption (forall (?x293 T4) (?x294 T5) (= (uf_107 ?x293 ?x294) (uf_19 (uf_20 ?x293) ?x294)) :pat { (uf_107 ?x293 ?x294) }) +:assumption (forall (?x295 T4) (?x296 T5) (= (uf_108 ?x295 ?x296) (uf_19 (uf_20 ?x295) ?x296)) :pat { (uf_108 ?x295 ?x296) }) +:assumption (forall (?x297 T4) (?x298 T5) (= (uf_109 ?x297 ?x298) (uf_19 (uf_20 ?x297) ?x298)) :pat { (uf_109 ?x297 ?x298) }) +:assumption (forall (?x299 T4) (?x300 T5) (= (uf_110 ?x299 ?x300) (uf_19 (uf_20 ?x299) ?x300)) :pat { (uf_110 ?x299 ?x300) }) +:assumption (forall (?x301 T4) (?x302 T5) (= (uf_111 ?x301 ?x302) (uf_19 (uf_20 ?x301) ?x302)) :pat { (uf_111 ?x301 ?x302) }) +:assumption (forall (?x303 T4) (?x304 T5) (= (uf_112 ?x303 ?x304) (uf_19 (uf_20 ?x303) ?x304)) :pat { (uf_112 ?x303 ?x304) }) +:assumption (forall (?x305 T4) (?x306 T5) (= (uf_113 ?x305 ?x306) (uf_19 (uf_20 ?x305) ?x306)) :pat { (uf_113 ?x305 ?x306) }) +:assumption (forall (?x307 T4) (?x308 T5) (= (uf_114 ?x307 ?x308) (uf_19 (uf_20 ?x307) ?x308)) :pat { (uf_114 ?x307 ?x308) }) +:assumption (= uf_75 (+ (+ (+ (+ 65536 65536) 65536) 65536) 1)) +:assumption (= uf_76 (+ (+ 65536 65536) 1)) +:assumption (= uf_77 65535) +:assumption (= uf_78 255) +:assumption (= uf_85 (+ (+ (+ (+ 65536 65536) 65536) 32768) 1)) +:assumption (= uf_86 (+ 0 (+ (+ (+ 65536 65536) 65536) 32768))) +:assumption (= uf_88 (+ (+ 65536 32768) 1)) +:assumption (= uf_89 (+ 0 (+ 65536 32768))) +:assumption (= uf_92 32767) +:assumption (= uf_93 (+ 0 32768)) +:assumption (= uf_95 127) +:assumption (= uf_96 (+ 0 128)) +:assumption (forall (?x309 T2) (iff (= (uf_122 ?x309) uf_9) (= ?x309 uf_9)) :pat { (uf_122 ?x309) }) +:assumption (forall (?x310 T4) (?x311 T4) (?x312 T5) (?x313 T3) (?x314 Int) (implies (= (uf_23 ?x313) uf_9) (implies (= (uf_123 ?x310 ?x311 ?x312 (uf_124 ?x313 ?x314)) uf_9) (forall (?x315 Int) (implies (and (< ?x315 ?x314) (<= 0 ?x315)) (= (uf_19 (uf_20 ?x310) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)) (uf_19 (uf_20 ?x311) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)))) :pat { (uf_19 (uf_20 ?x311) (uf_66 (uf_43 ?x313 (uf_116 ?x312)) ?x315 ?x313)) }))) :pat { (uf_123 ?x310 ?x311 ?x312 (uf_124 ?x313 ?x314)) (uf_23 ?x313) }) +:assumption (forall (?x316 T5) (?x317 Int) (?x318 T15) (= (uf_125 (uf_126 (uf_66 ?x316 ?x317 (uf_15 ?x316)) ?x318) ?x316) ?x317) :pat { (uf_125 (uf_126 (uf_66 ?x316 ?x317 (uf_15 ?x316)) ?x318) ?x316) }) +:assumption (forall (?x319 T5) (?x320 Int) (= (uf_125 (uf_66 ?x319 ?x320 (uf_15 ?x319)) ?x319) ?x320) :pat { (uf_66 ?x319 ?x320 (uf_15 ?x319)) }) +:assumption (forall (?x321 T5) (?x322 T4) (?x323 T5) (iff (= (uf_13 ?x321 (uf_127 ?x322 ?x323)) uf_9) (and (= (uf_13 ?x321 (uf_128 ?x322 ?x323)) uf_9) (not (= (uf_116 ?x323) (uf_116 uf_121))))) :pat { (uf_13 ?x321 (uf_127 ?x322 ?x323)) }) +:assumption (forall (?x324 T5) (?x325 Int) (?x326 T3) (?x327 Int) (iff (= (uf_13 ?x324 (uf_129 (uf_43 ?x326 ?x325) ?x326 ?x327)) uf_9) (and (= (uf_13 ?x324 (uf_130 (uf_66 (uf_43 ?x326 ?x325) (uf_125 ?x324 (uf_43 ?x326 ?x325)) ?x326))) uf_9) (and (<= (uf_125 ?x324 (uf_43 ?x326 ?x325)) (+ ?x327 1)) (and (<= 0 (uf_125 ?x324 (uf_43 ?x326 ?x325))) (not (= ?x325 0)))))) :pat { (uf_13 ?x324 (uf_129 (uf_43 ?x326 ?x325) ?x326 ?x327)) }) +:assumption (forall (?x328 T5) (?x329 T3) (?x330 Int) (?x331 Int) (?x332 T6) (implies (and (< ?x331 ?x330) (<= 0 ?x331)) (= (uf_133 (uf_66 ?x328 ?x331 ?x329) ?x332 (uf_132 ?x328 ?x329 ?x330)) 2)) :pat { (uf_66 ?x328 ?x331 ?x329) (uf_131 ?x332 (uf_132 ?x328 ?x329 ?x330)) }) +:assumption (forall (?x333 T5) (?x334 T3) (?x335 Int) (?x336 Int) (?x337 T6) (implies (and (< ?x336 ?x335) (<= 0 ?x336)) (= (uf_133 (uf_66 ?x333 ?x336 ?x334) (uf_132 ?x333 ?x334 ?x335) ?x337) 1)) :pat { (uf_66 ?x333 ?x336 ?x334) (uf_131 (uf_132 ?x333 ?x334 ?x335) ?x337) }) +:assumption (forall (?x338 T5) (?x339 Int) (?x340 T3) (?x341 Int) (iff (= (uf_13 ?x338 (uf_132 (uf_43 ?x340 ?x339) ?x340 ?x341)) uf_9) (and (= (uf_13 ?x338 (uf_130 (uf_66 (uf_43 ?x340 ?x339) (uf_125 ?x338 (uf_43 ?x340 ?x339)) ?x340))) uf_9) (and (<= (uf_125 ?x338 (uf_43 ?x340 ?x339)) (+ ?x341 1)) (<= 0 (uf_125 ?x338 (uf_43 ?x340 ?x339)))))) :pat { (uf_13 ?x338 (uf_132 (uf_43 ?x340 ?x339) ?x340 ?x341)) }) +:assumption (forall (?x342 T5) (?x343 T3) (?x344 Int) (?x345 T5) (iff (= (uf_13 ?x345 (uf_134 ?x342 ?x343 ?x344)) uf_9) (and (= ?x345 (uf_66 ?x342 (uf_125 ?x345 ?x342) ?x343)) (and (<= (uf_125 ?x345 ?x342) (+ ?x344 1)) (<= 0 (uf_125 ?x345 ?x342))))) :pat { (uf_13 ?x345 (uf_134 ?x342 ?x343 ?x344)) }) +:assumption (forall (?x346 T4) (?x347 Int) (?x348 T3) (?x349 Int) (?x350 Int) (implies (= (uf_27 ?x346 (uf_43 (uf_124 ?x348 ?x349) ?x347)) uf_9) (implies (and (< ?x350 ?x349) (<= 0 ?x350)) (and (= (uf_27 ?x346 (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348)) uf_9) (and (up_68 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) (and (not (= (uf_135 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) uf_9)) (= (uf_136 (uf_58 (uf_59 ?x346) (uf_66 (uf_43 (uf_124 ?x348 ?x349) ?x347) ?x350 ?x348))) (uf_43 (uf_124 ?x348 ?x349) ?x347))))))) :pat { (uf_40 (uf_41 ?x346) (uf_66 (uf_43 ?x348 ?x347) ?x350 ?x348)) (uf_43 (uf_124 ?x348 ?x349) ?x347) } :pat { (uf_58 (uf_59 ?x346) (uf_66 (uf_43 ?x348 ?x347) ?x350 ?x348)) (uf_43 (uf_124 ?x348 ?x349) ?x347) }) +:assumption (forall (?x351 T4) (?x352 T5) (?x353 Int) (?x354 T3) (?x355 Int) (iff (= (uf_13 ?x352 (uf_128 ?x351 (uf_43 (uf_124 ?x354 ?x355) ?x353))) uf_9) (or (and (= (uf_13 ?x352 (uf_128 ?x351 (uf_66 (uf_43 ?x354 ?x353) (uf_125 ?x352 (uf_43 ?x354 ?x353)) ?x354))) uf_9) (and (<= (uf_125 ?x352 (uf_43 ?x354 ?x353)) (+ ?x355 1)) (<= 0 (uf_125 ?x352 (uf_43 ?x354 ?x353))))) (= ?x352 (uf_43 (uf_124 ?x354 ?x355) ?x353)))) :pat { (uf_13 ?x352 (uf_128 ?x351 (uf_43 (uf_124 ?x354 ?x355) ?x353))) }) +:assumption (forall (?x356 T5) (?x357 Int) (?x358 T3) (?x359 Int) (iff (= (uf_13 ?x356 (uf_130 (uf_43 (uf_124 ?x358 ?x359) ?x357))) uf_9) (or (and (= (uf_13 ?x356 (uf_130 (uf_66 (uf_43 ?x358 ?x357) (uf_125 ?x356 (uf_43 ?x358 ?x357)) ?x358))) uf_9) (and (<= (uf_125 ?x356 (uf_43 ?x358 ?x357)) (+ ?x359 1)) (<= 0 (uf_125 ?x356 (uf_43 ?x358 ?x357))))) (= ?x356 (uf_43 (uf_124 ?x358 ?x359) ?x357)))) :pat { (uf_13 ?x356 (uf_130 (uf_43 (uf_124 ?x358 ?x359) ?x357))) }) +:assumption (forall (?x360 T4) (?x361 T5) (?x362 T3) (?x363 Int) (iff (= (uf_65 ?x360 ?x361 ?x362 ?x363) uf_9) (and (forall (?x364 Int) (implies (and (< ?x364 ?x363) (<= 0 ?x364)) (and (= (uf_27 ?x360 (uf_66 ?x361 ?x364 ?x362)) uf_9) (up_68 (uf_58 (uf_59 ?x360) (uf_66 ?x361 ?x364 ?x362))))) :pat { (uf_40 (uf_41 ?x360) (uf_66 ?x361 ?x364 ?x362)) } :pat { (uf_58 (uf_59 ?x360) (uf_66 ?x361 ?x364 ?x362)) } :pat { (uf_19 (uf_20 ?x360) (uf_66 ?x361 ?x364 ?x362)) }) (= (uf_48 ?x361 ?x362) uf_9))) :pat { (uf_65 ?x360 ?x361 ?x362 ?x363) }) +:assumption (forall (?x365 T4) (?x366 T5) (?x367 T3) (?x368 Int) (?x369 T2) (iff (= (uf_137 ?x365 ?x366 ?x367 ?x368 ?x369) uf_9) (and (forall (?x370 Int) (implies (and (< ?x370 ?x368) (<= 0 ?x370)) (and (= (uf_27 ?x365 (uf_66 ?x366 ?x370 ?x367)) uf_9) (and (up_68 (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367))) (iff (= (uf_135 (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367))) uf_9) (= ?x369 uf_9))))) :pat { (uf_40 (uf_41 ?x365) (uf_66 ?x366 ?x370 ?x367)) } :pat { (uf_58 (uf_59 ?x365) (uf_66 ?x366 ?x370 ?x367)) } :pat { (uf_19 (uf_20 ?x365) (uf_66 ?x366 ?x370 ?x367)) }) (= (uf_48 ?x366 ?x367) uf_9))) :pat { (uf_137 ?x365 ?x366 ?x367 ?x368 ?x369) }) +:assumption (forall (?x371 T5) (?x372 Int) (?x373 Int) (?x374 T3) (implies (and (not (= ?x373 0)) (not (= ?x372 0))) (= (uf_66 (uf_66 ?x371 ?x372 ?x374) ?x373 ?x374) (uf_66 ?x371 (+ ?x372 ?x373) ?x374))) :pat { (uf_66 (uf_66 ?x371 ?x372 ?x374) ?x373 ?x374) }) +:assumption (forall (?x375 T5) (?x376 Int) (?x377 T3) (and (= (uf_66 ?x375 ?x376 ?x377) (uf_43 ?x377 (+ (uf_116 ?x375) (+ ?x376 (uf_138 ?x377))))) (= (uf_139 (uf_66 ?x375 ?x376 ?x377) ?x375) uf_9)) :pat { (uf_66 ?x375 ?x376 ?x377) }) +:assumption (forall (?x378 T5) (?x379 T3) (= (uf_140 ?x378 ?x379) ?x378) :pat { (uf_140 ?x378 ?x379) }) +:assumption (forall (?x380 T3) (?x381 Int) (not (up_36 (uf_124 ?x380 ?x381))) :pat { (uf_124 ?x380 ?x381) }) +:assumption (forall (?x382 T3) (?x383 Int) (= (uf_141 (uf_124 ?x382 ?x383)) uf_9) :pat { (uf_124 ?x382 ?x383) }) +:assumption (forall (?x384 T3) (?x385 Int) (= (uf_142 (uf_124 ?x384 ?x385)) 0) :pat { (uf_124 ?x384 ?x385) }) +:assumption (forall (?x386 T3) (?x387 Int) (= (uf_143 (uf_124 ?x386 ?x387)) ?x387) :pat { (uf_124 ?x386 ?x387) }) +:assumption (forall (?x388 T3) (?x389 Int) (= (uf_144 (uf_124 ?x388 ?x389)) ?x388) :pat { (uf_124 ?x388 ?x389) }) +:assumption (forall (?x390 T5) (?x391 T6) (iff (= (uf_13 ?x390 ?x391) uf_9) (= (uf_145 ?x390 ?x391) uf_9)) :pat { (uf_145 ?x390 ?x391) }) +:assumption (forall (?x392 T5) (?x393 T6) (iff (= (uf_13 ?x392 ?x393) uf_9) (up_146 ?x392 ?x393)) :pat { (uf_13 ?x392 ?x393) }) +:assumption (forall (?x394 T5) (?x395 T6) (iff (= (uf_13 ?x394 ?x395) uf_9) (= (uf_147 ?x394 ?x395) uf_9)) :pat { (uf_13 ?x394 ?x395) }) +:assumption (forall (?x396 T5) (?x397 T4) (?x398 T5) (iff (= (uf_13 ?x396 (uf_53 ?x397 ?x398)) uf_9) (= (uf_147 ?x396 (uf_53 ?x397 ?x398)) uf_9)) :pat { (uf_147 ?x396 (uf_53 ?x397 ?x398)) (uf_148 ?x396) }) +:assumption (forall (?x399 T5) (?x400 T4) (?x401 T5) (implies (= (uf_13 ?x399 (uf_53 ?x400 ?x401)) uf_9) (= (uf_148 ?x399) uf_9)) :pat { (uf_13 ?x399 (uf_53 ?x400 ?x401)) }) +:assumption (forall (?x402 T6) (?x403 T6) (implies (forall (?x404 T5) (and (implies (= (uf_13 ?x404 ?x403) uf_9) (not (= (uf_13 ?x404 ?x402) uf_9))) (implies (= (uf_13 ?x404 ?x402) uf_9) (not (= (uf_13 ?x404 ?x403) uf_9)))) :pat { (uf_18 ?x404) }) (= (uf_131 ?x402 ?x403) uf_9)) :pat { (uf_131 ?x402 ?x403) }) +:assumption (forall (?x405 T5) (?x406 T6) (?x407 T6) (implies (and (= (uf_13 ?x405 ?x407) uf_9) (= (uf_131 ?x406 ?x407) uf_9)) (= (uf_133 ?x405 ?x406 ?x407) 2)) :pat { (uf_131 ?x406 ?x407) (uf_13 ?x405 ?x407) }) +:assumption (forall (?x408 T5) (?x409 T6) (?x410 T6) (implies (and (= (uf_13 ?x408 ?x409) uf_9) (= (uf_131 ?x409 ?x410) uf_9)) (= (uf_133 ?x408 ?x409 ?x410) 1)) :pat { (uf_131 ?x409 ?x410) (uf_13 ?x408 ?x409) }) +:assumption (forall (?x411 T5) (= (uf_13 ?x411 uf_149) uf_9) :pat { (uf_13 ?x411 uf_149) }) +:assumption (forall (?x412 T5) (= (uf_150 (uf_151 ?x412)) 1)) +:assumption (= (uf_150 uf_152) 0) +:assumption (forall (?x413 T6) (?x414 T6) (implies (= (uf_153 ?x413 ?x414) uf_9) (= ?x413 ?x414)) :pat { (uf_153 ?x413 ?x414) }) +:assumption (forall (?x415 T6) (?x416 T6) (implies (forall (?x417 T5) (iff (= (uf_13 ?x417 ?x415) uf_9) (= (uf_13 ?x417 ?x416) uf_9)) :pat { (uf_18 ?x417) }) (= (uf_153 ?x415 ?x416) uf_9)) :pat { (uf_153 ?x415 ?x416) }) +:assumption (forall (?x418 T6) (?x419 T6) (iff (= (uf_154 ?x418 ?x419) uf_9) (forall (?x420 T5) (implies (= (uf_13 ?x420 ?x418) uf_9) (= (uf_13 ?x420 ?x419) uf_9)) :pat { (uf_13 ?x420 ?x418) } :pat { (uf_13 ?x420 ?x419) })) :pat { (uf_154 ?x418 ?x419) }) +:assumption (forall (?x421 T6) (?x422 T6) (?x423 T5) (iff (= (uf_13 ?x423 (uf_155 ?x421 ?x422)) uf_9) (and (= (uf_13 ?x423 ?x422) uf_9) (= (uf_13 ?x423 ?x421) uf_9))) :pat { (uf_13 ?x423 (uf_155 ?x421 ?x422)) }) +:assumption (forall (?x424 T6) (?x425 T6) (?x426 T5) (iff (= (uf_13 ?x426 (uf_156 ?x424 ?x425)) uf_9) (and (not (= (uf_13 ?x426 ?x425) uf_9)) (= (uf_13 ?x426 ?x424) uf_9))) :pat { (uf_13 ?x426 (uf_156 ?x424 ?x425)) }) +:assumption (forall (?x427 T6) (?x428 T6) (?x429 T5) (iff (= (uf_13 ?x429 (uf_157 ?x427 ?x428)) uf_9) (or (= (uf_13 ?x429 ?x428) uf_9) (= (uf_13 ?x429 ?x427) uf_9))) :pat { (uf_13 ?x429 (uf_157 ?x427 ?x428)) }) +:assumption (forall (?x430 T5) (?x431 T5) (iff (= (uf_13 ?x431 (uf_158 ?x430)) uf_9) (and (not (= (uf_116 ?x430) (uf_116 uf_121))) (= ?x430 ?x431))) :pat { (uf_13 ?x431 (uf_158 ?x430)) }) +:assumption (forall (?x432 T5) (?x433 T5) (iff (= (uf_13 ?x433 (uf_151 ?x432)) uf_9) (= ?x432 ?x433)) :pat { (uf_13 ?x433 (uf_151 ?x432)) }) +:assumption (forall (?x434 T5) (not (= (uf_13 ?x434 uf_152) uf_9)) :pat { (uf_13 ?x434 uf_152) }) +:assumption (forall (?x435 T5) (?x436 T5) (= (uf_159 ?x435 ?x436) (uf_43 (uf_124 (uf_144 (uf_15 ?x435)) (+ (uf_143 (uf_15 ?x435)) (uf_143 (uf_15 ?x436)))) (uf_116 ?x435))) :pat { (uf_159 ?x435 ?x436) }) +:assumption (forall (?x437 T5) (?x438 Int) (= (uf_160 ?x437 ?x438) (uf_43 (uf_124 (uf_144 (uf_15 ?x437)) (+ (uf_143 (uf_15 ?x437)) ?x438)) (uf_116 (uf_66 (uf_43 (uf_144 (uf_15 ?x437)) (uf_116 ?x437)) ?x438 (uf_144 (uf_15 ?x437)))))) :pat { (uf_160 ?x437 ?x438) }) +:assumption (forall (?x439 T5) (?x440 Int) (= (uf_161 ?x439 ?x440) (uf_43 (uf_124 (uf_144 (uf_15 ?x439)) ?x440) (uf_116 ?x439))) :pat { (uf_161 ?x439 ?x440) }) +:assumption (forall (?x441 T4) (?x442 T5) (?x443 T5) (iff (= (uf_13 ?x442 (uf_162 ?x441 ?x443)) uf_9) (or (and (= (uf_13 ?x442 (uf_163 ?x443)) uf_9) (= (uf_135 (uf_58 (uf_59 ?x441) ?x442)) uf_9)) (= ?x442 ?x443))) :pat { (uf_13 ?x442 (uf_162 ?x441 ?x443)) }) +:assumption (forall (?x444 T4) (implies (= (uf_164 ?x444) uf_9) (up_165 ?x444)) :pat { (uf_164 ?x444) }) +:assumption (= (uf_142 uf_166) 0) +:assumption (= uf_167 (uf_43 uf_166 uf_168)) +:assumption (forall (?x445 T4) (?x446 T4) (?x447 T5) (?x448 T5) (and true (and (= (uf_170 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) (uf_171 ?x445)) (and (= (uf_38 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) (uf_38 ?x446 ?x448)) (and (= (uf_25 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) uf_26) (and (= (uf_24 (uf_169 ?x445 ?x446 ?x447 ?x448) ?x448) uf_9) (= (uf_41 (uf_169 ?x445 ?x446 ?x447 ?x448)) (uf_172 (uf_41 ?x446) ?x448 (uf_173 ?x446 ?x447 ?x448)))))))) :pat { (uf_169 ?x445 ?x446 ?x447 ?x448) }) +:assumption (forall (?x449 T4) (?x450 T5) (?x451 T5) (implies (not (= (uf_14 (uf_15 ?x450)) uf_16)) (and true (and (= (uf_38 (uf_174 ?x449 ?x450 ?x451) ?x451) (uf_38 ?x449 ?x451)) (and (= (uf_25 (uf_174 ?x449 ?x450 ?x451) ?x451) ?x450) (and (= (uf_24 (uf_174 ?x449 ?x450 ?x451) ?x451) uf_9) (= (uf_41 (uf_174 ?x449 ?x450 ?x451)) (uf_172 (uf_41 ?x449) ?x451 (uf_175 ?x449 ?x450 ?x451)))))))) :pat { (uf_174 ?x449 ?x450 ?x451) }) +:assumption (forall (?x452 T4) (?x453 T5) (?x454 Int) (and (= (uf_177 ?x452 (uf_176 ?x452 ?x453 ?x454)) uf_9) (and (forall (?x455 T5) (<= (uf_170 ?x452 ?x455) (uf_170 (uf_176 ?x452 ?x455 ?x454) ?x455)) :pat { (uf_170 (uf_176 ?x452 ?x455 ?x454) ?x455) }) (and (< (uf_171 ?x452) (uf_171 (uf_176 ?x452 ?x453 ?x454))) (and (= (uf_20 (uf_176 ?x452 ?x453 ?x454)) (uf_178 (uf_20 ?x452) ?x453 ?x454)) (and (= (uf_41 (uf_176 ?x452 ?x453 ?x454)) (uf_41 ?x452)) (= (uf_59 (uf_176 ?x452 ?x453 ?x454)) (uf_59 ?x452))))))) :pat { (uf_176 ?x452 ?x453 ?x454) }) +:assumption (forall (?x456 T4) (implies (= (uf_51 ?x456) uf_9) (forall (?x457 T5) (?x458 T5) (implies (and (= (uf_24 ?x456 ?x458) uf_9) (and (= (uf_13 ?x457 (uf_53 ?x456 ?x458)) uf_9) (= (uf_51 ?x456) uf_9))) (and (not (= (uf_116 ?x457) 0)) (= (uf_24 ?x456 ?x457) uf_9))) :pat { (uf_13 ?x457 (uf_53 ?x456 ?x458)) })) :pat { (uf_51 ?x456) }) +:assumption (forall (?x459 T4) (?x460 T5) (?x461 T3) (implies (and (= (uf_24 ?x459 ?x460) uf_9) (= (uf_44 ?x459) uf_9)) (= (uf_46 ?x459 ?x459 ?x460 ?x461) uf_9)) :pat { (uf_46 ?x459 ?x459 ?x460 ?x461) }) +:assumption (forall (?x462 T4) (?x463 Int) (?x464 T3) (implies (= (uf_51 ?x462) uf_9) (implies (= (uf_141 ?x464) uf_9) (= (uf_53 ?x462 (uf_43 ?x464 ?x463)) uf_152))) :pat { (uf_53 ?x462 (uf_43 ?x464 ?x463)) (uf_141 ?x464) }) +:assumption (forall (?x465 T4) (?x466 T4) (?x467 T5) (?x468 T3) (implies (and (= (uf_15 ?x467) ?x468) (= (uf_141 ?x468) uf_9)) (and (= (uf_179 ?x465 ?x466 ?x467 ?x468) uf_9) (iff (= (uf_46 ?x465 ?x466 ?x467 ?x468) uf_9) (= (uf_27 ?x466 ?x467) uf_9)))) :pat { (uf_141 ?x468) (uf_46 ?x465 ?x466 ?x467 ?x468) }) +:assumption (forall (?x469 T4) (?x470 T5) (?x471 T5) (implies (and (= (uf_22 (uf_15 ?x470)) uf_9) (and (= (uf_24 ?x469 ?x471) uf_9) (= (uf_51 ?x469) uf_9))) (iff (= (uf_13 ?x470 (uf_53 ?x469 ?x471)) uf_9) (= (uf_25 ?x469 ?x470) ?x471))) :pat { (uf_13 ?x470 (uf_53 ?x469 ?x471)) (uf_22 (uf_15 ?x470)) }) +:assumption (forall (?x472 T4) (?x473 T4) (?x474 Int) (?x475 T3) (?x476 T15) (up_182 (uf_19 (uf_20 ?x473) (uf_126 (uf_43 ?x475 ?x474) ?x476))) :pat { (uf_180 ?x475 ?x476) (uf_181 ?x472 ?x473) (uf_19 (uf_20 ?x472) (uf_126 (uf_43 ?x475 ?x474) ?x476)) }) +:assumption (forall (?x477 T4) (?x478 Int) (?x479 T3) (?x480 T15) (implies (and (= (uf_25 ?x477 (uf_43 ?x479 ?x478)) uf_26) (and (= (uf_180 ?x479 ?x480) uf_9) (and (= (uf_24 ?x477 (uf_43 ?x479 ?x478)) uf_9) (= (uf_55 ?x477) uf_9)))) (= (uf_19 (uf_20 ?x477) (uf_126 (uf_43 ?x479 ?x478) ?x480)) (uf_183 (uf_184 ?x477 (uf_43 ?x479 ?x478)) (uf_126 (uf_43 ?x479 ?x478) ?x480)))) :pat { (uf_180 ?x479 ?x480) (uf_19 (uf_20 ?x477) (uf_126 (uf_43 ?x479 ?x478) ?x480)) }) +:assumption (forall (?x481 T4) (?x482 Int) (?x483 T3) (?x484 T15) (?x485 T15) (implies (and (or (= (uf_28 (uf_183 (uf_184 ?x481 (uf_43 ?x483 ?x482)) (uf_126 (uf_43 ?x483 ?x482) ?x484))) uf_26) (= (uf_28 (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x484))) uf_26)) (and (= (uf_24 ?x481 (uf_43 ?x483 ?x482)) uf_9) (and (= (uf_185 ?x483 ?x484 ?x485) uf_9) (= (uf_55 ?x481) uf_9)))) (= (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x485)) (uf_183 (uf_184 ?x481 (uf_43 ?x483 ?x482)) (uf_126 (uf_43 ?x483 ?x482) ?x485)))) :pat { (uf_185 ?x483 ?x484 ?x485) (uf_19 (uf_20 ?x481) (uf_126 (uf_43 ?x483 ?x482) ?x485)) }) +:assumption (forall (?x486 T4) (?x487 T5) (= (uf_184 ?x486 ?x487) (uf_30 (uf_19 (uf_20 ?x486) ?x487))) :pat { (uf_184 ?x486 ?x487) }) +:assumption (forall (?x488 T4) (?x489 T5) (?x490 T5) (?x491 T15) (?x492 Int) (?x493 Int) (?x494 T3) (implies (and (< ?x492 ?x493) (and (<= 0 ?x492) (and (= (uf_187 ?x491 ?x493) uf_9) (and (= (uf_186 ?x489 ?x490) uf_9) (and (= (uf_24 ?x488 ?x490) uf_9) (= (uf_51 ?x488) uf_9)))))) (= (uf_19 (uf_20 ?x488) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_11 (uf_189 ?x490) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)))) :pat { (uf_49 ?x488 ?x490) (uf_186 ?x489 ?x490) (uf_19 (uf_20 ?x488) (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_187 ?x491 ?x493) } :pat { (uf_188 ?x488 ?x490 ?x489 (uf_66 (uf_126 ?x489 ?x491) ?x492 ?x494)) (uf_187 ?x491 ?x493) }) +:assumption (forall (?x495 T4) (?x496 T5) (?x497 T5) (?x498 T15) (implies (and (= (uf_190 ?x498) uf_9) (and (= (uf_186 ?x496 ?x497) uf_9) (and (= (uf_24 ?x495 ?x497) uf_9) (= (uf_51 ?x495) uf_9)))) (and (= (uf_19 (uf_20 ?x495) (uf_126 ?x496 ?x498)) (uf_11 (uf_189 ?x497) (uf_126 ?x496 ?x498))) (= (uf_186 ?x496 ?x497) uf_9))) :pat { (uf_186 ?x496 ?x497) (uf_19 (uf_20 ?x495) (uf_126 ?x496 ?x498)) } :pat { (uf_188 ?x495 ?x497 ?x496 (uf_126 ?x496 ?x498)) }) +:assumption (forall (?x499 T4) (?x500 T5) (?x501 T5) (?x502 T5) (= (uf_188 ?x499 ?x500 ?x501 ?x502) ?x502) :pat { (uf_188 ?x499 ?x500 ?x501 ?x502) }) +:assumption (forall (?x503 T5) (?x504 T5) (implies (forall (?x505 T4) (implies (= (uf_49 ?x505 ?x504) uf_9) (= (uf_24 ?x505 ?x503) uf_9)) :pat { (uf_191 ?x505) }) (= (uf_186 ?x503 ?x504) uf_9)) :pat { (uf_186 ?x503 ?x504) }) +:assumption (forall (?x506 T5) (?x507 T4) (?x508 T4) (?x509 T5) (up_193 (uf_13 ?x509 (uf_192 (uf_12 ?x508 ?x506)))) :pat { (uf_13 ?x509 (uf_192 (uf_12 ?x507 ?x506))) (uf_177 ?x507 ?x508) }) +:assumption (forall (?x510 T5) (?x511 T4) (?x512 T4) (?x513 T5) (up_193 (uf_13 ?x513 (uf_10 ?x512 ?x510))) :pat { (uf_13 ?x513 (uf_10 ?x511 ?x510)) (uf_177 ?x511 ?x512) }) +:assumption (forall (?x514 T4) (?x515 T5) (?x516 T15) (?x517 Int) (?x518 Int) (?x519 T3) (implies (and (< ?x518 ?x517) (and (<= 0 ?x518) (and (= (uf_194 ?x516 ?x517 ?x519) uf_9) (= (uf_51 ?x514) uf_9)))) (= (uf_135 (uf_58 (uf_59 ?x514) (uf_66 (uf_126 ?x515 ?x516) ?x518 ?x519))) uf_9)) :pat { (uf_194 ?x516 ?x517 ?x519) (uf_135 (uf_58 (uf_59 ?x514) (uf_66 (uf_126 ?x515 ?x516) ?x518 ?x519))) }) +:assumption (forall (?x520 T4) (?x521 Int) (?x522 T5) (?x523 Int) (?x524 Int) (?x525 T3) (implies (and (< ?x524 ?x523) (and (<= 0 ?x524) (and (= (uf_13 (uf_43 (uf_124 ?x525 ?x523) ?x521) (uf_10 ?x520 ?x522)) uf_9) (and (= (uf_23 ?x525) uf_9) (= (uf_55 ?x520) uf_9))))) (= (uf_19 (uf_20 ?x520) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)) (uf_11 (uf_12 ?x520 ?x522) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)))) :pat { (uf_13 (uf_43 (uf_124 ?x525 ?x523) ?x521) (uf_10 ?x520 ?x522)) (uf_19 (uf_20 ?x520) (uf_66 (uf_43 ?x525 ?x521) ?x524 ?x525)) (uf_23 ?x525) }) +:assumption (forall (?x526 T4) (?x527 Int) (?x528 T5) (?x529 Int) (?x530 Int) (?x531 T3) (implies (and (< ?x530 ?x529) (and (<= 0 ?x530) (and (= (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) uf_9) (and (= (uf_23 ?x531) uf_9) (= (uf_55 ?x526) uf_9))))) (and (not (= (uf_135 (uf_58 (uf_59 ?x526) (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531))) uf_9)) (= (uf_27 ?x526 (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) uf_9))) :pat { (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) (uf_58 (uf_59 ?x526) (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) (uf_23 ?x531) } :pat { (uf_13 (uf_43 (uf_124 ?x531 ?x529) ?x527) (uf_10 ?x526 ?x528)) (uf_25 ?x526 (uf_66 (uf_43 ?x531 ?x527) ?x530 ?x531)) (uf_23 ?x531) }) +:assumption (forall (?x532 T4) (?x533 T5) (?x534 T5) (?x535 T15) (?x536 Int) (?x537 Int) (?x538 T3) (implies (and (< ?x537 ?x536) (and (<= 0 ?x537) (and (= (uf_187 ?x535 ?x536) uf_9) (and (= (uf_13 ?x533 (uf_10 ?x532 ?x534)) uf_9) (= (uf_55 ?x532) uf_9))))) (and (not (= (uf_135 (uf_58 (uf_59 ?x532) (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538))) uf_9)) (= (uf_27 ?x532 (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) uf_9))) :pat { (uf_13 ?x533 (uf_10 ?x532 ?x534)) (uf_187 ?x535 ?x536) (uf_58 (uf_59 ?x532) (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) } :pat { (uf_13 ?x533 (uf_10 ?x532 ?x534)) (uf_187 ?x535 ?x536) (uf_25 ?x532 (uf_66 (uf_126 ?x533 ?x535) ?x537 ?x538)) }) +:assumption (forall (?x539 T4) (?x540 T5) (?x541 T5) (?x542 T15) (?x543 Int) (?x544 Int) (?x545 T3) (implies (and (< ?x544 ?x543) (and (<= 0 ?x544) (and (= (uf_187 ?x542 ?x543) uf_9) (and (= (uf_13 ?x540 (uf_10 ?x539 ?x541)) uf_9) (= (uf_55 ?x539) uf_9))))) (= (uf_19 (uf_20 ?x539) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)) (uf_11 (uf_12 ?x539 ?x541) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)))) :pat { (uf_13 ?x540 (uf_10 ?x539 ?x541)) (uf_187 ?x542 ?x543) (uf_19 (uf_20 ?x539) (uf_66 (uf_126 ?x540 ?x542) ?x544 ?x545)) }) +:assumption (forall (?x546 T4) (?x547 T5) (?x548 T5) (?x549 T15) (implies (and (= (uf_190 ?x549) uf_9) (and (= (uf_13 ?x547 (uf_10 ?x546 ?x548)) uf_9) (= (uf_55 ?x546) uf_9))) (and (not (= (uf_135 (uf_58 (uf_59 ?x546) (uf_126 ?x547 ?x549))) uf_9)) (= (uf_27 ?x546 (uf_126 ?x547 ?x549)) uf_9))) :pat { (uf_13 ?x547 (uf_10 ?x546 ?x548)) (uf_190 ?x549) (uf_25 ?x546 (uf_126 ?x547 ?x549)) } :pat { (uf_13 ?x547 (uf_10 ?x546 ?x548)) (uf_190 ?x549) (uf_58 (uf_59 ?x546) (uf_126 ?x547 ?x549)) }) +:assumption (forall (?x550 T4) (?x551 T5) (?x552 T5) (implies (and (= (uf_13 ?x551 (uf_10 ?x550 ?x552)) uf_9) (= (uf_55 ?x550) uf_9)) (and (not (= (uf_135 (uf_58 (uf_59 ?x550) ?x551)) uf_9)) (= (uf_27 ?x550 ?x551) uf_9))) :pat { (uf_55 ?x550) (uf_13 ?x551 (uf_10 ?x550 ?x552)) (uf_40 (uf_41 ?x550) ?x551) } :pat { (uf_55 ?x550) (uf_13 ?x551 (uf_10 ?x550 ?x552)) (uf_58 (uf_59 ?x550) ?x551) }) +:assumption (forall (?x553 T4) (?x554 T5) (?x555 T5) (?x556 T15) (implies (and (= (uf_190 ?x556) uf_9) (= (uf_13 ?x554 (uf_10 ?x553 ?x555)) uf_9)) (= (uf_19 (uf_20 ?x553) (uf_126 ?x554 ?x556)) (uf_11 (uf_12 ?x553 ?x555) (uf_126 ?x554 ?x556)))) :pat { (uf_13 ?x554 (uf_10 ?x553 ?x555)) (uf_190 ?x556) (uf_19 (uf_20 ?x553) (uf_126 ?x554 ?x556)) }) +:assumption (forall (?x557 T4) (?x558 T5) (?x559 T5) (implies (= (uf_195 ?x557 ?x558 ?x559) uf_9) (= (uf_196 ?x557 ?x558 ?x559) uf_9)) :pat { (uf_195 ?x557 ?x558 ?x559) }) +:assumption (forall (?x560 T4) (?x561 T5) (?x562 T5) (?x563 T5) (implies (and (forall (?x564 T4) (implies (and (= (uf_10 ?x564 ?x561) (uf_10 ?x560 ?x561)) (and (= (uf_12 ?x564 ?x561) (uf_12 ?x560 ?x561)) (= (uf_46 ?x564 ?x564 ?x562 (uf_15 ?x562)) uf_9))) (= (uf_145 ?x563 (uf_53 ?x564 ?x562)) uf_9))) (and (= (uf_13 ?x562 (uf_10 ?x560 ?x561)) uf_9) (up_197 (uf_15 ?x562)))) (and (= (uf_145 ?x563 (uf_53 ?x560 ?x562)) uf_9) (= (uf_195 ?x560 ?x563 ?x561) uf_9))) :pat { (uf_13 ?x562 (uf_10 ?x560 ?x561)) (uf_195 ?x560 ?x563 ?x561) }) +:assumption (forall (?x565 T4) (?x566 T5) (?x567 T5) (?x568 T5) (implies (and (= (uf_145 ?x568 (uf_53 ?x565 ?x567)) uf_9) (and (= (uf_13 ?x567 (uf_10 ?x565 ?x566)) uf_9) (not (up_197 (uf_15 ?x567))))) (and (= (uf_145 ?x568 (uf_53 ?x565 ?x567)) uf_9) (= (uf_196 ?x565 ?x568 ?x566) uf_9))) :pat { (uf_13 ?x567 (uf_10 ?x565 ?x566)) (uf_196 ?x565 ?x568 ?x566) }) +:assumption (forall (?x569 T4) (?x570 T5) (?x571 T5) (implies (and (= (uf_13 ?x571 (uf_10 ?x569 ?x570)) uf_9) (= (uf_55 ?x569) uf_9)) (= (uf_196 ?x569 ?x571 ?x570) uf_9)) :pat { (uf_196 ?x569 ?x571 ?x570) }) +:assumption (forall (?x572 T4) (?x573 T5) (implies (and (= (uf_22 (uf_15 ?x573)) uf_9) (and (not (= (uf_14 (uf_15 ?x573)) uf_16)) (and (= (uf_27 ?x572 ?x573) uf_9) (and (= (uf_48 ?x573 (uf_15 ?x573)) uf_9) (and (= (uf_25 ?x572 ?x573) uf_26) (and (= (uf_24 ?x572 ?x573) uf_9) (= (uf_55 ?x572) uf_9))))))) (= (uf_196 ?x572 ?x573 ?x573) uf_9)) :pat { (uf_196 ?x572 ?x573 ?x573) }) +:assumption (forall (?x574 T4) (?x575 T5) (?x576 T5) (implies (= (uf_196 ?x574 ?x575 ?x576) uf_9) (and (forall (?x577 T5) (implies (and (= (uf_13 ?x577 (uf_53 ?x574 ?x575)) uf_9) (not (up_197 (uf_15 ?x575)))) (= (uf_147 ?x577 (uf_192 (uf_12 ?x574 ?x576))) uf_9)) :pat { (uf_13 ?x577 (uf_53 ?x574 ?x575)) }) (and (= (uf_24 ?x574 ?x575) uf_9) (= (uf_13 ?x575 (uf_10 ?x574 ?x576)) uf_9)))) :pat { (uf_196 ?x574 ?x575 ?x576) }) +:assumption (forall (?x578 T4) (?x579 T5) (?x580 T5) (?x581 T16) (iff (= (uf_198 ?x578 ?x579 ?x580 ?x581) uf_9) (= (uf_195 ?x578 ?x579 ?x580) uf_9)) :pat { (uf_198 ?x578 ?x579 ?x580 ?x581) }) +:assumption (forall (?x582 T4) (?x583 T5) (?x584 T5) (?x585 T16) (implies (= (uf_198 ?x582 ?x583 ?x584 ?x585) uf_9) (up_199 ?x582 ?x583 ?x585)) :pat { (uf_198 ?x582 ?x583 ?x584 ?x585) }) +:assumption (forall (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16) (iff (= (uf_200 ?x586 ?x587 ?x588 ?x589) uf_9) (= (uf_196 ?x586 ?x587 ?x588) uf_9)) :pat { (uf_200 ?x586 ?x587 ?x588 ?x589) }) +:assumption (forall (?x590 T4) (?x591 T5) (?x592 T5) (?x593 T16) (implies (= (uf_200 ?x590 ?x591 ?x592 ?x593) uf_9) (up_199 ?x590 ?x591 ?x593)) :pat { (uf_200 ?x590 ?x591 ?x592 ?x593) }) +:assumption (forall (?x594 T4) (?x595 T5) (= (uf_10 ?x594 ?x595) (uf_192 (uf_12 ?x594 ?x595))) :pat { (uf_10 ?x594 ?x595) }) +:assumption (forall (?x596 T4) (?x597 T5) (= (uf_12 ?x596 ?x597) (uf_32 (uf_19 (uf_20 ?x596) ?x597))) :pat { (uf_12 ?x596 ?x597) }) +:assumption (forall (?x598 T4) (?x599 Int) (?x600 T3) (= (uf_43 ?x600 (uf_19 (uf_20 ?x598) (uf_43 (uf_6 ?x600) ?x599))) (uf_201 ?x598 (uf_43 (uf_6 ?x600) ?x599) ?x600)) :pat { (uf_43 ?x600 (uf_19 (uf_20 ?x598) (uf_43 (uf_6 ?x600) ?x599))) }) +:assumption (forall (?x601 T1) (?x602 T4) (implies (= (uf_202 ?x601 ?x602) uf_9) (= (uf_51 ?x602) uf_9)) :pat { (uf_202 ?x601 ?x602) }) +:assumption (forall (?x603 T4) (implies (= (uf_44 ?x603) uf_9) (= (uf_51 ?x603) uf_9)) :pat { (uf_44 ?x603) }) +:assumption (forall (?x604 T4) (implies (= (uf_55 ?x604) uf_9) (and (= (uf_44 ?x604) uf_9) (= (uf_51 ?x604) uf_9))) :pat { (uf_55 ?x604) }) +:assumption (forall (?x605 T4) (implies (= (uf_203 ?x605) uf_9) (and (<= 0 (uf_171 ?x605)) (= (uf_55 ?x605) uf_9))) :pat { (uf_203 ?x605) }) +:assumption (forall (?x606 T3) (implies (= (uf_23 ?x606) uf_9) (forall (?x607 T4) (?x608 Int) (?x609 T5) (iff (= (uf_13 ?x609 (uf_128 ?x607 (uf_43 ?x606 ?x608))) uf_9) (= ?x609 (uf_43 ?x606 ?x608))) :pat { (uf_13 ?x609 (uf_128 ?x607 (uf_43 ?x606 ?x608))) })) :pat { (uf_23 ?x606) }) +:assumption (forall (?x610 T3) (implies (= (uf_23 ?x610) uf_9) (forall (?x611 Int) (?x612 T5) (iff (= (uf_13 ?x612 (uf_130 (uf_43 ?x610 ?x611))) uf_9) (= ?x612 (uf_43 ?x610 ?x611))) :pat { (uf_13 ?x612 (uf_130 (uf_43 ?x610 ?x611))) })) :pat { (uf_23 ?x610) }) +:assumption (forall (?x613 T4) (?x614 T4) (?x615 T5) (?x616 T3) (iff (= (uf_204 ?x613 ?x614 ?x615 ?x616) uf_9) (and (up_205 ?x613 ?x614 ?x615 ?x616) (and (= (uf_58 (uf_59 ?x613) ?x615) (uf_58 (uf_59 ?x614) ?x615)) (= (uf_12 ?x613 ?x615) (uf_12 ?x614 ?x615))))) :pat { (uf_204 ?x613 ?x614 ?x615 ?x616) }) +:assumption (forall (?x617 T4) (?x618 T4) (?x619 T5) (?x620 T3) (iff (= (uf_206 ?x617 ?x618 ?x619 ?x620) uf_9) (and (= (uf_123 ?x617 ?x618 ?x619 ?x620) uf_9) (and (= (uf_58 (uf_59 ?x617) ?x619) (uf_58 (uf_59 ?x618) ?x619)) (and (= (uf_53 ?x617 ?x619) (uf_53 ?x618 ?x619)) (= (uf_12 ?x617 ?x619) (uf_12 ?x618 ?x619)))))) :pat { (uf_206 ?x617 ?x618 ?x619 ?x620) }) +:assumption (forall (?x621 T4) (?x622 T4) (?x623 T5) (?x624 T5) (iff (= (uf_207 ?x621 ?x622 ?x623 ?x624) uf_9) (or (= (uf_208 (uf_15 ?x623)) uf_9) (or (and (= (uf_204 ?x621 ?x622 ?x623 (uf_15 ?x623)) uf_9) (= (uf_46 ?x621 ?x622 ?x623 (uf_15 ?x623)) uf_9)) (or (and (not (= (uf_24 ?x622 ?x623) uf_9)) (not (= (uf_24 ?x621 ?x623) uf_9))) (= (uf_206 ?x621 ?x622 ?x624 (uf_15 ?x624)) uf_9))))) :pat { (uf_207 ?x621 ?x622 ?x623 ?x624) }) +:assumption (forall (?x625 T4) (?x626 T4) (?x627 T5) (?x628 T3) (iff (= (uf_179 ?x625 ?x626 ?x627 ?x628) uf_9) (implies (and (= (uf_24 ?x626 ?x627) uf_9) (= (uf_24 ?x625 ?x627) uf_9)) (= (uf_206 ?x625 ?x626 ?x627 ?x628) uf_9))) :pat { (uf_179 ?x625 ?x626 ?x627 ?x628) }) +:assumption (forall (?x629 T4) (?x630 T5) (?x631 T3) (implies (up_209 ?x629 ?x630 ?x631) (= (uf_46 ?x629 ?x629 ?x630 ?x631) uf_9)) :pat { (uf_46 ?x629 ?x629 ?x630 ?x631) }) +:assumption (forall (?x632 T4) (?x633 T5) (iff (= (uf_67 ?x632 ?x633) uf_9) (and (or (and (or (= (uf_210 ?x632 ?x633) uf_9) (= (uf_25 ?x632 ?x633) uf_26)) (not (= (uf_14 (uf_15 ?x633)) uf_16))) (and (or (= (uf_210 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_9) (= (uf_25 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_26)) (and (not (= (uf_14 (uf_15 (uf_136 (uf_58 (uf_59 ?x632) ?x633)))) uf_16)) (and (or (not (= (uf_24 ?x632 (uf_136 (uf_58 (uf_59 ?x632) ?x633))) uf_9)) (not (= (uf_135 (uf_58 (uf_59 ?x632) ?x633)) uf_9))) (= (uf_14 (uf_15 ?x633)) uf_16))))) (= (uf_27 ?x632 ?x633) uf_9))) :pat { (uf_67 ?x632 ?x633) }) +:assumption (forall (?x634 T4) (?x635 T5) (iff (= (uf_210 ?x634 ?x635) uf_9) (exists (?x636 T5) (and (= (uf_211 ?x634 ?x636) uf_9) (and (= (uf_22 (uf_15 ?x636)) uf_9) (and (not (= (uf_14 (uf_15 ?x636)) uf_16)) (and (= (uf_27 ?x634 ?x636) uf_9) (and (= (uf_48 ?x636 (uf_15 ?x636)) uf_9) (and (= (uf_25 ?x634 ?x636) uf_26) (and (= (uf_24 ?x634 ?x636) uf_9) (= (uf_13 ?x635 (uf_192 (uf_12 ?x634 ?x636))) uf_9)))))))) :pat { (uf_147 ?x635 (uf_192 (uf_12 ?x634 ?x636))) })) :pat { (uf_210 ?x634 ?x635) }) +:assumption (forall (?x637 T4) (?x638 T5) (iff (= (uf_211 ?x637 ?x638) uf_9) true) :pat { (uf_211 ?x637 ?x638) }) +:assumption (forall (?x639 T4) (?x640 T4) (?x641 T5) (implies (= (uf_177 ?x639 ?x640) uf_9) (up_212 (uf_40 (uf_41 ?x639) ?x641))) :pat { (uf_40 (uf_41 ?x640) ?x641) (uf_177 ?x639 ?x640) }) +:assumption (forall (?x642 T4) (?x643 T5) (implies (and (= (uf_27 ?x642 ?x643) uf_9) (= (uf_51 ?x642) uf_9)) (< 0 (uf_116 ?x643))) :pat { (uf_27 ?x642 ?x643) }) +:assumption (forall (?x644 T4) (?x645 T5) (implies (= (uf_51 ?x644) uf_9) (iff (= (uf_27 ?x644 ?x645) uf_9) (up_213 (uf_58 (uf_59 ?x644) ?x645)))) :pat { (uf_27 ?x644 ?x645) }) +:assumption (forall (?x646 T4) (?x647 T5) (iff (= (uf_61 ?x646 ?x647) uf_9) (and (not (= (uf_24 ?x646 ?x647) uf_9)) (and (= (uf_25 ?x646 ?x647) uf_26) (= (uf_27 ?x646 ?x647) uf_9)))) :pat { (uf_61 ?x646 ?x647) }) +:assumption (forall (?x648 T4) (?x649 T5) (= (uf_53 ?x648 ?x649) (uf_34 (uf_19 (uf_20 ?x648) (uf_126 ?x649 (uf_214 (uf_15 ?x649)))))) :pat { (uf_53 ?x648 ?x649) }) +:assumption (forall (?x650 T11) (and (= (uf_22 (uf_15 (uf_215 ?x650))) uf_9) (not (= (uf_14 (uf_15 (uf_215 ?x650))) uf_16))) :pat { (uf_215 ?x650) }) +:assumption up_216 +:assumption (forall (?x651 T4) (?x652 T5) (implies (= (uf_22 (uf_15 ?x652)) uf_9) (= (uf_170 ?x651 ?x652) (uf_217 (uf_40 (uf_41 ?x651) ?x652)))) :pat { (uf_22 (uf_15 ?x652)) (uf_170 ?x651 ?x652) }) +:assumption (forall (?x653 T4) (?x654 T5) (implies (= (uf_23 (uf_15 ?x654)) uf_9) (= (uf_170 ?x653 ?x654) (uf_217 (uf_40 (uf_41 ?x653) (uf_136 (uf_58 (uf_59 ?x653) ?x654)))))) :pat { (uf_23 (uf_15 ?x654)) (uf_170 ?x653 ?x654) }) +:assumption (forall (?x655 T4) (?x656 T5) (implies (= (uf_22 (uf_15 ?x656)) uf_9) (iff (= (uf_24 ?x655 ?x656) uf_9) (up_218 (uf_40 (uf_41 ?x655) ?x656)))) :pat { (uf_22 (uf_15 ?x656)) (uf_24 ?x655 ?x656) }) +:assumption (forall (?x657 T4) (?x658 T5) (implies (= (uf_23 (uf_15 ?x658)) uf_9) (iff (= (uf_24 ?x657 ?x658) uf_9) (up_218 (uf_40 (uf_41 ?x657) (uf_136 (uf_58 (uf_59 ?x657) ?x658)))))) :pat { (uf_23 (uf_15 ?x658)) (uf_24 ?x657 ?x658) }) +:assumption (forall (?x659 T4) (?x660 T5) (implies (= (uf_22 (uf_15 ?x660)) uf_9) (= (uf_25 ?x659 ?x660) (uf_215 (uf_40 (uf_41 ?x659) ?x660)))) :pat { (uf_22 (uf_15 ?x660)) (uf_25 ?x659 ?x660) }) +:assumption (forall (?x661 T4) (?x662 T5) (implies (= (uf_23 (uf_15 ?x662)) uf_9) (= (uf_25 ?x661 ?x662) (uf_25 ?x661 (uf_136 (uf_58 (uf_59 ?x661) ?x662))))) :pat { (uf_23 (uf_15 ?x662)) (uf_25 ?x661 ?x662) }) +:assumption (forall (?x663 T5) (?x664 T3) (= (uf_126 ?x663 (uf_214 ?x664)) (uf_43 uf_219 (uf_220 ?x663 (uf_214 ?x664)))) :pat { (uf_126 ?x663 (uf_214 ?x664)) }) +:assumption (up_197 uf_37) +:assumption (forall (?x665 T17) (?x666 T17) (?x667 T15) (implies (= (uf_224 (uf_225 (uf_222 ?x665 ?x667)) (uf_225 (uf_222 ?x666 ?x667))) uf_9) (= (uf_221 (uf_222 ?x665 ?x667) (uf_222 ?x666 ?x667)) uf_9)) :pat { (uf_221 (uf_222 ?x665 ?x667) (uf_222 ?x666 (uf_223 ?x667))) }) +:assumption (forall (?x668 T17) (?x669 T17) (implies (forall (?x670 T15) (= (uf_221 (uf_222 ?x668 ?x670) (uf_222 ?x669 ?x670)) uf_9)) (= (uf_224 ?x668 ?x669) uf_9)) :pat { (uf_224 ?x668 ?x669) }) +:assumption (forall (?x671 T17) (= (uf_225 (uf_226 ?x671)) ?x671)) +:assumption (forall (?x672 Int) (?x673 Int) (iff (= (uf_221 ?x672 ?x673) uf_9) (= ?x672 ?x673)) :pat { (uf_221 ?x672 ?x673) }) +:assumption (forall (?x674 T17) (?x675 T17) (iff (= (uf_224 ?x674 ?x675) uf_9) (= ?x674 ?x675)) :pat { (uf_224 ?x674 ?x675) }) +:assumption (forall (?x676 T3) (?x677 T15) (?x678 T3) (implies (and (= (uf_228 ?x678) uf_9) (= (uf_227 ?x676 ?x677 ?x678) uf_9)) (= (uf_223 ?x677) ?x677)) :pat { (uf_227 ?x676 ?x677 ?x678) (uf_228 ?x678) }) +:assumption (forall (?x679 T3) (implies (= (uf_228 ?x679) uf_9) (= (uf_23 ?x679) uf_9)) :pat { (uf_228 ?x679) }) +:assumption (forall (?x680 T17) (?x681 T15) (?x682 T15) (?x683 Int) (or (= ?x681 ?x682) (= (uf_222 (uf_229 ?x680 ?x681 ?x683) ?x682) (uf_222 ?x680 ?x682))) :pat { (uf_222 (uf_229 ?x680 ?x681 ?x683) ?x682) }) +:assumption (forall (?x684 T17) (?x685 T15) (?x686 Int) (= (uf_222 (uf_229 ?x684 ?x685 ?x686) ?x685) ?x686) :pat { (uf_222 (uf_229 ?x684 ?x685 ?x686) ?x685) }) +:assumption (forall (?x687 T15) (= (uf_222 uf_230 ?x687) 0)) +:assumption (forall (?x688 T17) (?x689 T15) (?x690 Int) (?x691 Int) (?x692 Int) (?x693 Int) (= (uf_231 ?x688 ?x689 ?x690 ?x691 ?x692 ?x693) (uf_229 ?x688 ?x689 (uf_99 (uf_222 ?x688 ?x689) ?x690 ?x691 ?x692 ?x693))) :pat { (uf_231 ?x688 ?x689 ?x690 ?x691 ?x692 ?x693) }) +:assumption (forall (?x694 T4) (?x695 T5) (implies (= (uf_51 ?x694) uf_9) (and (= (uf_233 (uf_232 ?x694 ?x695)) ?x694) (= (uf_234 (uf_232 ?x694 ?x695)) (uf_116 ?x695)))) :pat { (uf_232 ?x694 ?x695) }) +:assumption (forall (?x696 T18) (= (uf_51 (uf_233 ?x696)) uf_9)) +:assumption (= (uf_51 (uf_233 uf_235)) uf_9) +:assumption (forall (?x697 T4) (?x698 T5) (or (not (up_213 (uf_58 (uf_59 ?x697) ?x698))) (<= (uf_170 ?x697 ?x698) (uf_171 ?x697))) :pat { (uf_40 (uf_41 ?x697) ?x698) }) +:assumption (forall (?x699 T4) (?x700 T5) (implies (and (= (uf_135 (uf_58 (uf_59 ?x699) ?x700)) uf_9) (= (uf_51 ?x699) uf_9)) (= (uf_14 (uf_15 ?x700)) uf_16)) :pat { (uf_135 (uf_58 (uf_59 ?x699) ?x700)) }) +:assumption (forall (?x701 T4) (?x702 T5) (implies (= (uf_27 ?x701 ?x702) uf_9) (= (uf_27 ?x701 (uf_136 (uf_58 (uf_59 ?x701) ?x702))) uf_9)) :pat { (uf_27 ?x701 ?x702) (uf_58 (uf_59 ?x701) (uf_136 (uf_58 (uf_59 ?x701) ?x702))) }) +:assumption (forall (?x703 T14) (and (= (uf_22 (uf_15 (uf_136 ?x703))) uf_9) (not (= (uf_14 (uf_15 (uf_136 ?x703))) uf_16))) :pat { (uf_136 ?x703) }) +:assumption (forall (?x704 T5) (?x705 T15) (implies (<= 0 (uf_237 ?x705)) (= (uf_116 (uf_126 (uf_236 ?x704 ?x705) ?x705)) (uf_116 ?x704))) :pat { (uf_126 (uf_236 ?x704 ?x705) ?x705) }) +:assumption (forall (?x706 T5) (?x707 T15) (= (uf_236 ?x706 ?x707) (uf_43 (uf_238 ?x707) (uf_239 ?x706 ?x707))) :pat { (uf_236 ?x706 ?x707) }) +:assumption (forall (?x708 Int) (?x709 T15) (= (uf_236 (uf_126 (uf_43 (uf_238 ?x709) ?x708) ?x709) ?x709) (uf_43 (uf_238 ?x709) ?x708)) :pat { (uf_236 (uf_126 (uf_43 (uf_238 ?x709) ?x708) ?x709) ?x709) }) +:assumption (forall (?x710 T5) (?x711 T3) (implies (= (uf_48 ?x710 ?x711) uf_9) (= ?x710 (uf_43 ?x711 (uf_116 ?x710)))) :pat { (uf_48 ?x710 ?x711) }) +:assumption (forall (?x712 T5) (?x713 T3) (iff (= (uf_48 ?x712 ?x713) uf_9) (= (uf_15 ?x712) ?x713))) +:assumption (= uf_121 (uf_43 uf_240 0)) +:assumption (forall (?x714 T15) (?x715 Int) (and (= (uf_242 (uf_241 ?x714 ?x715)) ?x715) (and (= (uf_243 (uf_241 ?x714 ?x715)) ?x714) (not (up_244 (uf_241 ?x714 ?x715))))) :pat { (uf_241 ?x714 ?x715) }) +:assumption (forall (?x716 T5) (?x717 T15) (and (= (uf_245 (uf_220 ?x716 ?x717)) ?x717) (= (uf_246 (uf_220 ?x716 ?x717)) ?x716)) :pat { (uf_220 ?x716 ?x717) }) +:assumption (forall (?x718 T3) (?x719 Int) (= (uf_116 (uf_43 ?x718 ?x719)) ?x719)) +:assumption (forall (?x720 T3) (?x721 Int) (= (uf_15 (uf_43 ?x720 ?x721)) ?x720)) +:assumption (forall (?x722 T3) (?x723 T3) (?x724 Int) (?x725 Int) (iff (= (uf_247 ?x722 ?x723 ?x724 ?x725) uf_9) (and (= (uf_248 ?x722 ?x723) ?x725) (and (= (uf_249 ?x722 ?x723) ?x724) (up_250 ?x722 ?x723)))) :pat { (uf_247 ?x722 ?x723 ?x724 ?x725) }) +:assumption (forall (?x726 T5) (= (uf_139 ?x726 ?x726) uf_9) :pat { (uf_15 ?x726) }) +:assumption (forall (?x727 T5) (?x728 T5) (?x729 T5) (implies (and (= (uf_139 ?x728 ?x729) uf_9) (= (uf_139 ?x727 ?x728) uf_9)) (= (uf_139 ?x727 ?x729) uf_9)) :pat { (uf_139 ?x727 ?x728) (uf_139 ?x728 ?x729) }) +:assumption (forall (?x730 T12) (?x731 T5) (?x732 T5) (?x733 T11) (or (= (uf_40 (uf_172 ?x730 ?x731 ?x733) ?x732) (uf_40 ?x730 ?x732)) (= ?x731 ?x732))) +:assumption (forall (?x734 T12) (?x735 T5) (?x736 T11) (= (uf_40 (uf_172 ?x734 ?x735 ?x736) ?x735) ?x736)) +:assumption (forall (?x737 T13) (?x738 T5) (?x739 T5) (?x740 T14) (or (= (uf_58 (uf_251 ?x737 ?x738 ?x740) ?x739) (uf_58 ?x737 ?x739)) (= ?x738 ?x739))) +:assumption (forall (?x741 T13) (?x742 T5) (?x743 T14) (= (uf_58 (uf_251 ?x741 ?x742 ?x743) ?x742) ?x743)) +:assumption (forall (?x744 T9) (?x745 T5) (?x746 T5) (?x747 Int) (or (= (uf_19 (uf_178 ?x744 ?x745 ?x747) ?x746) (uf_19 ?x744 ?x746)) (= ?x745 ?x746))) +:assumption (forall (?x748 T9) (?x749 T5) (?x750 Int) (= (uf_19 (uf_178 ?x748 ?x749 ?x750) ?x749) ?x750)) +:assumption (= uf_26 (uf_43 uf_252 uf_253)) +:assumption (= (uf_23 uf_254) uf_9) +:assumption (= (uf_23 uf_255) uf_9) +:assumption (= (uf_23 uf_84) uf_9) +:assumption (= (uf_23 uf_4) uf_9) +:assumption (= (uf_23 uf_91) uf_9) +:assumption (= (uf_23 uf_7) uf_9) +:assumption (= (uf_23 uf_83) uf_9) +:assumption (= (uf_23 uf_87) uf_9) +:assumption (= (uf_23 uf_90) uf_9) +:assumption (= (uf_23 uf_94) uf_9) +:assumption (= (uf_208 uf_252) uf_9) +:assumption (= (uf_23 uf_256) uf_9) +:assumption (= (uf_23 uf_219) uf_9) +:assumption (= (uf_23 uf_257) uf_9) +:assumption (= (uf_23 uf_258) uf_9) +:assumption (= (uf_23 uf_240) uf_9) +:assumption (forall (?x751 T3) (implies (= (uf_23 ?x751) uf_9) (not (up_36 ?x751))) :pat { (uf_23 ?x751) }) +:assumption (forall (?x752 T3) (= (uf_23 (uf_6 ?x752)) uf_9) :pat { (uf_6 ?x752) }) +:assumption (forall (?x753 T3) (?x754 T3) (= (uf_23 (uf_259 ?x753 ?x754)) uf_9) :pat { (uf_259 ?x753 ?x754) }) +:assumption (forall (?x755 T3) (implies (= (uf_208 ?x755) uf_9) (= (uf_22 ?x755) uf_9)) :pat { (uf_208 ?x755) }) +:assumption (forall (?x756 T3) (implies (= (uf_141 ?x756) uf_9) (= (uf_22 ?x756) uf_9)) :pat { (uf_141 ?x756) }) +:assumption (forall (?x757 T3) (implies (= (uf_260 ?x757) uf_9) (= (uf_22 ?x757) uf_9)) :pat { (uf_260 ?x757) }) +:assumption (forall (?x758 T3) (iff (= (uf_208 ?x758) uf_9) (= (uf_14 ?x758) uf_261)) :pat { (uf_208 ?x758) }) +:assumption (forall (?x759 T3) (iff (= (uf_141 ?x759) uf_9) (= (uf_14 ?x759) uf_262)) :pat { (uf_141 ?x759) }) +:assumption (forall (?x760 T3) (iff (= (uf_260 ?x760) uf_9) (= (uf_14 ?x760) uf_263)) :pat { (uf_260 ?x760) }) +:assumption (forall (?x761 T3) (iff (= (uf_23 ?x761) uf_9) (= (uf_14 ?x761) uf_16)) :pat { (uf_23 ?x761) }) +:assumption (forall (?x762 T3) (?x763 T3) (= (uf_142 (uf_259 ?x762 ?x763)) (+ (uf_142 ?x762) 23)) :pat { (uf_259 ?x762 ?x763) }) +:assumption (forall (?x764 T3) (= (uf_142 (uf_6 ?x764)) (+ (uf_142 ?x764) 17)) :pat { (uf_6 ?x764) }) +:assumption (forall (?x765 T3) (?x766 T3) (= (uf_264 (uf_259 ?x765 ?x766)) ?x765) :pat { (uf_259 ?x765 ?x766) }) +:assumption (forall (?x767 T3) (?x768 T3) (= (uf_265 (uf_259 ?x767 ?x768)) ?x768) :pat { (uf_259 ?x767 ?x768) }) +:assumption (forall (?x769 T3) (= (uf_138 (uf_6 ?x769)) 8) :pat { (uf_6 ?x769) }) +:assumption (forall (?x770 T3) (= (uf_266 (uf_6 ?x770)) ?x770) :pat { (uf_6 ?x770) }) +:assumption (= (uf_260 uf_267) uf_9) +:assumption (= (uf_260 uf_37) uf_9) +:assumption (= (uf_142 uf_268) 0) +:assumption (= (uf_142 uf_256) 0) +:assumption (= (uf_142 uf_252) 0) +:assumption (= (uf_142 uf_219) 0) +:assumption (= (uf_142 uf_267) 0) +:assumption (= (uf_142 uf_37) 0) +:assumption (= (uf_142 uf_240) 0) +:assumption (= (uf_142 uf_258) 0) +:assumption (= (uf_142 uf_257) 0) +:assumption (= (uf_142 uf_254) 0) +:assumption (= (uf_142 uf_255) 0) +:assumption (= (uf_142 uf_84) 0) +:assumption (= (uf_142 uf_4) 0) +:assumption (= (uf_142 uf_91) 0) +:assumption (= (uf_142 uf_7) 0) +:assumption (= (uf_142 uf_83) 0) +:assumption (= (uf_142 uf_87) 0) +:assumption (= (uf_142 uf_90) 0) +:assumption (= (uf_142 uf_94) 0) +:assumption (= (uf_138 uf_219) 1) +:assumption (= (uf_138 uf_252) 1) +:assumption (= (uf_138 uf_254) 8) +:assumption (= (uf_138 uf_255) 4) +:assumption (= (uf_138 uf_84) 8) +:assumption (= (uf_138 uf_4) 4) +:assumption (= (uf_138 uf_91) 2) +:assumption (= (uf_138 uf_7) 1) +:assumption (= (uf_138 uf_83) 8) +:assumption (= (uf_138 uf_87) 4) +:assumption (= (uf_138 uf_90) 2) +:assumption (= (uf_138 uf_94) 1) +:assumption (not (implies true (implies (and (<= uf_269 uf_78) (<= 0 uf_269)) (implies (and (<= uf_270 uf_76) (<= 0 uf_270)) (implies (and (<= uf_271 uf_76) (<= 0 uf_271)) (implies (< uf_272 1099511627776) (implies (< 0 uf_272) (implies (and (= (uf_22 (uf_124 uf_7 uf_272)) uf_9) (and (not (= (uf_14 (uf_124 uf_7 uf_272)) uf_16)) (and (= (uf_27 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_9) (and (= (uf_48 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_124 uf_7 uf_272)) uf_9) (and (= (uf_25 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_26) (= (uf_24 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274)))) uf_9)))))) (implies true (implies (= (uf_203 uf_273) uf_9) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_275 uf_273) uf_9)) (implies (forall (?x771 T19) (< (uf_276 ?x771) uf_277) :pat { (uf_276 ?x771) }) (implies (and (up_278 uf_273 uf_275 uf_279 (uf_43 uf_7 uf_274) (uf_6 uf_7)) (up_280 uf_273 uf_275 uf_279 (uf_29 (uf_43 uf_7 uf_274)) (uf_6 uf_7))) (implies (up_280 uf_273 uf_275 uf_281 uf_272 uf_4) (implies (= uf_282 (uf_171 uf_273)) (implies (forall (?x772 T5) (iff (= (uf_283 uf_282 ?x772) uf_9) false) :pat { (uf_283 uf_282 ?x772) }) (implies (and (<= uf_272 uf_76) (<= 0 uf_272)) (and (implies (= (uf_200 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) uf_284) uf_9) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)) (implies (= uf_285 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7))) (implies (up_280 uf_273 uf_286 uf_287 uf_285 uf_7) (implies (up_280 uf_273 uf_288 uf_289 0 uf_4) (implies (up_280 uf_273 uf_290 uf_291 1 uf_4) (implies (and (<= 0 0) (and (<= 0 0) (and (<= 1 1) (<= 1 1)))) (and (implies (<= 1 uf_272) (and (implies (forall (?x773 Int) (implies (and (<= ?x773 uf_76) (<= 0 ?x773)) (implies (< ?x773 1) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x773 uf_7)) uf_285)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_285) (< 0 uf_272)) (implies true (implies (and (<= uf_292 uf_78) (<= 0 uf_292)) (implies (and (<= uf_293 uf_76) (<= 0 uf_293)) (implies (and (<= uf_294 uf_76) (<= 0 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= uf_294 uf_272) (implies (forall (?x774 Int) (implies (and (<= ?x774 uf_76) (<= 0 ?x774)) (implies (< ?x774 uf_294) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x774 uf_7)) uf_292)))) (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_293 uf_7)) uf_292) (< uf_293 uf_272)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (= (uf_177 uf_273 uf_273) uf_9) (and (forall (?x775 T5) (<= (uf_170 uf_273 ?x775) (uf_170 uf_273 ?x775)) :pat { (uf_170 uf_273 ?x775) }) (and (<= (uf_171 uf_273) (uf_171 uf_273)) (and (forall (?x776 T5) (implies (= (uf_67 uf_273 ?x776) uf_9) (and (= (uf_67 uf_273 ?x776) uf_9) (= (uf_58 (uf_59 uf_273) ?x776) (uf_58 (uf_59 uf_273) ?x776)))) :pat { (uf_58 (uf_59 uf_273) ?x776) }) (and (forall (?x777 T5) (implies (= (uf_67 uf_273 ?x777) uf_9) (and (= (uf_67 uf_273 ?x777) uf_9) (= (uf_40 (uf_41 uf_273) ?x777) (uf_40 (uf_41 uf_273) ?x777)))) :pat { (uf_40 (uf_41 uf_273) ?x777) }) (and (forall (?x778 T5) (implies (= (uf_67 uf_273 ?x778) uf_9) (and (= (uf_67 uf_273 ?x778) uf_9) (= (uf_19 (uf_20 uf_273) ?x778) (uf_19 (uf_20 uf_273) ?x778)))) :pat { (uf_19 (uf_20 uf_273) ?x778) }) (forall (?x779 T5) (implies (not (= (uf_14 (uf_15 (uf_25 uf_273 ?x779))) uf_261)) (not (= (uf_14 (uf_15 (uf_25 uf_273 ?x779))) uf_261))) :pat { (uf_40 (uf_41 uf_273) ?x779) }))))))) (implies (and (= (uf_177 uf_273 uf_273) uf_9) (and (forall (?x780 T5) (<= (uf_170 uf_273 ?x780) (uf_170 uf_273 ?x780)) :pat { (uf_170 uf_273 ?x780) }) (<= (uf_171 uf_273) (uf_171 uf_273)))) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_295 uf_273) uf_9)) (implies (up_280 uf_273 uf_295 uf_291 uf_294 uf_4) (implies (up_280 uf_273 uf_295 uf_289 uf_293 uf_4) (implies (up_280 uf_273 uf_295 uf_287 uf_292 uf_7) (implies (up_280 uf_273 uf_295 uf_281 uf_272 uf_4) (implies (and (up_278 uf_273 uf_295 uf_279 (uf_43 uf_7 uf_274) (uf_6 uf_7)) (up_280 uf_273 uf_295 uf_279 (uf_29 (uf_43 uf_7 uf_274)) (uf_6 uf_7))) (implies (and (= (uf_41 uf_273) (uf_41 uf_273)) (= (uf_59 uf_273) (uf_59 uf_273))) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= uf_272 uf_294) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies up_216 (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_296 uf_292) (implies (= uf_297 uf_294) (implies (= uf_298 uf_293) (implies (= uf_299 uf_292) (implies true (and (implies (forall (?x781 Int) (implies (and (<= ?x781 uf_76) (<= 0 ?x781)) (implies (< ?x781 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x781 uf_7)) uf_299)))) (and (implies (exists (?x782 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x782 uf_7)) uf_299) (and (< ?x782 uf_272) (and (<= ?x782 uf_76) (<= 0 ?x782))))) true) (exists (?x783 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x783 uf_7)) uf_299) (and (< ?x783 uf_272) (and (<= ?x783 uf_76) (<= 0 ?x783))))))) (forall (?x784 Int) (implies (and (<= ?x784 uf_76) (<= 0 ?x784)) (implies (< ?x784 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x784 uf_7)) uf_299)))))))))))))))) up_216)))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (< uf_294 uf_272) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_292) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_300 uf_292) (implies (= uf_301 uf_293) (implies true (implies (and (<= 0 uf_301) (<= 1 uf_294)) (and (implies (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1))) (implies (= uf_302 (+ uf_294 1)) (implies (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) (implies (and (<= 0 uf_301) (<= 2 uf_302)) (implies true (and (implies (<= uf_302 uf_272) (and (implies (forall (?x785 Int) (implies (and (<= ?x785 uf_76) (<= 0 ?x785)) (implies (< ?x785 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x785 uf_7)) uf_300)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)) (implies false true)) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)))) (forall (?x786 Int) (implies (and (<= ?x786 uf_76) (<= 0 ?x786)) (implies (< ?x786 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x786 uf_7)) uf_300)))))) (<= uf_302 uf_272))))))) (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1)))))))))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (< uf_292 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7))) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (and (implies (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)) (implies (= uf_304 (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7))) (implies (up_280 uf_273 uf_305 uf_287 uf_304 uf_7) (implies (up_280 uf_273 uf_306 uf_289 uf_294 uf_4) (implies (and (<= 1 uf_294) (<= 1 uf_294)) (implies true (implies (= uf_300 uf_304) (implies (= uf_301 uf_294) (implies true (implies (and (<= 0 uf_301) (<= 1 uf_294)) (and (implies (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1))) (implies (= uf_302 (+ uf_294 1)) (implies (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) (implies (and (<= 0 uf_301) (<= 2 uf_302)) (implies true (and (implies (<= uf_302 uf_272) (and (implies (forall (?x787 Int) (implies (and (<= ?x787 uf_76) (<= 0 ?x787)) (implies (< ?x787 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x787 uf_7)) uf_300)))) (and (implies (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)) (implies false true)) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_301 uf_7)) uf_300) (< uf_301 uf_272)))) (forall (?x788 Int) (implies (and (<= ?x788 uf_76) (<= 0 ?x788)) (implies (< ?x788 uf_302) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x788 uf_7)) uf_300)))))) (<= uf_302 uf_272))))))) (and (<= (+ uf_294 1) uf_76) (<= 0 (+ uf_294 1)))))))))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))))))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) uf_294 uf_7) uf_7) uf_9)))))))))))))))))))))))))) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (not true) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (= (uf_55 uf_273) uf_9) (= (uf_202 uf_295 uf_273) uf_9)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (and (implies up_216 (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies (and (<= 0 uf_293) (<= 1 uf_294)) (implies true (implies (= uf_296 uf_292) (implies (= uf_297 uf_294) (implies (= uf_298 uf_293) (implies (= uf_299 uf_292) (implies true (and (implies (forall (?x789 Int) (implies (and (<= ?x789 uf_76) (<= 0 ?x789)) (implies (< ?x789 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x789 uf_7)) uf_299)))) (and (implies (exists (?x790 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x790 uf_7)) uf_299) (and (< ?x790 uf_272) (and (<= ?x790 uf_76) (<= 0 ?x790))))) true) (exists (?x791 Int) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x791 uf_7)) uf_299) (and (< ?x791 uf_272) (and (<= ?x791 uf_76) (<= 0 ?x791))))))) (forall (?x792 Int) (implies (and (<= ?x792 uf_76) (<= 0 ?x792)) (implies (< ?x792 uf_272) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x792 uf_7)) uf_299)))))))))))))))) up_216)))))))))))))))))))))) (and (= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_285) (< 0 uf_272)))) (forall (?x793 Int) (implies (and (<= ?x793 uf_76) (<= 0 ?x793)) (implies (< ?x793 1) (<= (uf_110 uf_273 (uf_66 (uf_43 uf_7 uf_274) ?x793 uf_7)) uf_285)))))) (<= 1 uf_272)))))))) (and (= (uf_67 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)))) (and (= (uf_27 uf_273 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7)) uf_9) (= (uf_48 (uf_66 (uf_43 uf_7 uf_274) 0 uf_7) uf_7) uf_9)))) (= (uf_200 uf_273 (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) (uf_43 (uf_124 uf_7 uf_272) (uf_116 (uf_43 uf_7 uf_274))) uf_284) uf_9))))))))))))))))))) +:formula true +) diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Examples/cert/VCC_maximum.proof --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Boogie/Examples/cert/VCC_maximum.proof Thu Nov 05 14:48:40 2009 +0100 @@ -0,0 +1,8070 @@ +#2 := false +#121 := 0::int +decl uf_110 :: (-> T4 T5 int) +decl uf_66 :: (-> T5 int T3 T5) +decl uf_7 :: T3 +#10 := uf_7 +decl ?x785!14 :: int +#19054 := ?x785!14 +decl uf_43 :: (-> T3 int T5) +decl uf_274 :: int +#2959 := uf_274 +#2960 := (uf_43 uf_7 uf_274) +#19059 := (uf_66 #2960 ?x785!14 uf_7) +decl uf_273 :: T4 +#2958 := uf_273 +#19060 := (uf_110 uf_273 #19059) +#4076 := -1::int +#19385 := (* -1::int #19060) +decl uf_300 :: int +#3186 := uf_300 +#19386 := (+ uf_300 #19385) +#19387 := (>= #19386 0::int) +#23584 := (not #19387) +#19372 := (* -1::int ?x785!14) +decl uf_302 :: int +#3196 := uf_302 +#19373 := (+ uf_302 #19372) +#19374 := (<= #19373 0::int) +#19056 := (>= ?x785!14 0::int) +#22816 := (not #19056) +#7878 := 131073::int +#19055 := (<= ?x785!14 131073::int) +#22815 := (not #19055) +#22831 := (or #22815 #22816 #19374 #19387) +#22836 := (not #22831) +#161 := (:var 0 int) +#3039 := (uf_66 #2960 #161 uf_7) +#23745 := (pattern #3039) +#15606 := (<= #161 131073::int) +#20064 := (not #15606) +#14120 := (* -1::int uf_300) +#3040 := (uf_110 uf_273 #3039) +#14121 := (+ #3040 #14120) +#14122 := (<= #14121 0::int) +#14101 := (* -1::int uf_302) +#14110 := (+ #161 #14101) +#14109 := (>= #14110 0::int) +#4084 := (>= #161 0::int) +#5113 := (not #4084) +#22797 := (or #5113 #14109 #14122 #20064) +#23762 := (forall (vars (?x785 int)) (:pat #23745) #22797) +#23767 := (not #23762) +decl uf_301 :: int +#3188 := uf_301 +#14142 := (* -1::int uf_301) +decl uf_272 :: int +#2949 := uf_272 +#14143 := (+ uf_272 #14142) +#14144 := (<= #14143 0::int) +#3208 := (uf_66 #2960 uf_301 uf_7) +#3209 := (uf_110 uf_273 #3208) +#12862 := (= uf_300 #3209) +#22782 := (not #12862) +#22783 := (or #22782 #14144) +#22784 := (not #22783) +#23770 := (or #22784 #23767) +#14145 := (not #14144) +decl uf_294 :: int +#3055 := uf_294 +#14044 := (* -1::int uf_294) +#14045 := (+ uf_272 #14044) +#14046 := (<= #14045 0::int) +#14049 := (not #14046) +decl uf_125 :: (-> T5 T5 int) +decl uf_28 :: (-> int T5) +decl uf_29 :: (-> T5 int) +#2992 := (uf_29 #2960) +#23223 := (uf_28 #2992) +decl uf_15 :: (-> T5 T3) +#26404 := (uf_15 #23223) +decl uf_293 :: int +#3051 := uf_293 +#26963 := (uf_66 #23223 uf_293 #26404) +#26964 := (uf_125 #26963 #23223) +#27037 := (>= #26964 0::int) +#13947 := (>= uf_293 0::int) +decl ?x781!15 :: int +#19190 := ?x781!15 +#19195 := (uf_66 #2960 ?x781!15 uf_7) +#19196 := (uf_110 uf_273 #19195) +#19541 := (* -1::int #19196) +decl uf_299 :: int +#3138 := uf_299 +#19542 := (+ uf_299 #19541) +#19543 := (>= #19542 0::int) +#19528 := (* -1::int ?x781!15) +#19529 := (+ uf_272 #19528) +#19530 := (<= #19529 0::int) +#19192 := (>= ?x781!15 0::int) +#22993 := (not #19192) +#19191 := (<= ?x781!15 131073::int) +#22992 := (not #19191) +#23008 := (or #22992 #22993 #19530 #19543) +#23013 := (not #23008) +#13873 := (* -1::int uf_272) +#13960 := (+ #161 #13873) +#13959 := (>= #13960 0::int) +#3145 := (= #3040 uf_299) +#22966 := (not #3145) +#22967 := (or #22966 #5113 #13959 #20064) +#23886 := (forall (vars (?x782 int)) (:pat #23745) #22967) +#23891 := (not #23886) +#13970 := (* -1::int uf_299) +#13971 := (+ #3040 #13970) +#13972 := (<= #13971 0::int) +#22958 := (or #5113 #13959 #13972 #20064) +#23878 := (forall (vars (?x781 int)) (:pat #23745) #22958) +#23883 := (not #23878) +#23894 := (or #23883 #23891) +#23897 := (not #23894) +#23900 := (or #23897 #23013) +#23903 := (not #23900) +#4 := 1::int +#13950 := (>= uf_294 1::int) +#14243 := (not #13950) +#22873 := (not #13947) +decl uf_292 :: int +#3047 := uf_292 +#12576 := (= uf_292 uf_299) +#12644 := (not #12576) +decl uf_298 :: int +#3136 := uf_298 +#12573 := (= uf_293 uf_298) +#12653 := (not #12573) +decl uf_297 :: int +#3134 := uf_297 +#12570 := (= uf_294 uf_297) +#12662 := (not #12570) +decl uf_296 :: int +#3132 := uf_296 +#12567 := (= uf_292 uf_296) +#12671 := (not #12567) +#23906 := (or #12671 #12662 #12653 #12644 #22873 #14243 #14049 #23903) +#23909 := (not #23906) +#23773 := (not #23770) +#23776 := (or #23773 #22836) +#23779 := (not #23776) +#14102 := (+ uf_272 #14101) +#14100 := (>= #14102 0::int) +#14105 := (not #14100) +#23782 := (or #14105 #23779) +#23785 := (not #23782) +#23788 := (or #14105 #23785) +#23791 := (not #23788) +#1066 := 131072::int +#16368 := (<= uf_294 131072::int) +#19037 := (not #16368) +#14169 := (+ uf_294 #14101) +#14168 := (= #14169 -1::int) +#14172 := (not #14168) +#1120 := 2::int +#14092 := (>= uf_302 2::int) +#22859 := (not #14092) +#14088 := (>= uf_294 -1::int) +#19034 := (not #14088) +#14076 := (>= uf_301 0::int) +#22858 := (not #14076) +decl up_280 :: (-> T4 T1 T1 int T3 bool) +decl uf_4 :: T3 +#7 := uf_4 +decl uf_291 :: T1 +#3030 := uf_291 +decl uf_303 :: T1 +#3198 := uf_303 +#3199 := (up_280 uf_273 uf_303 uf_291 uf_302 uf_4) +#12942 := (not #3199) +#23794 := (or #12942 #22858 #19034 #22859 #14172 #19037 #23791) +#23797 := (not #23794) +#23800 := (or #19034 #19037 #23797) +#23803 := (not #23800) +#13075 := (= uf_294 uf_301) +#13081 := (not #13075) +decl uf_304 :: int +#3239 := uf_304 +#3175 := (uf_66 #2960 uf_294 uf_7) +#3184 := (uf_110 uf_273 #3175) +#13070 := (= #3184 uf_304) +#13133 := (not #13070) +decl uf_67 :: (-> T4 T5 T2) +#3181 := (uf_67 uf_273 #3175) +decl uf_9 :: T2 +#19 := uf_9 +#12812 := (= uf_9 #3181) +#19017 := (not #12812) +decl uf_48 :: (-> T5 T3 T2) +#3178 := (uf_48 #3175 uf_7) +#12806 := (= uf_9 #3178) +#19011 := (not #12806) +#3246 := (= uf_300 uf_304) +#13090 := (not #3246) +decl uf_289 :: T1 +#3027 := uf_289 +decl uf_306 :: T1 +#3243 := uf_306 +#3244 := (up_280 uf_273 uf_306 uf_289 uf_294 uf_4) +#13115 := (not #3244) +decl uf_287 :: T1 +#3024 := uf_287 +decl uf_305 :: T1 +#3241 := uf_305 +#3242 := (up_280 uf_273 uf_305 uf_287 uf_304 uf_7) +#13124 := (not #3242) +#23812 := (or #13124 #13115 #13090 #19011 #19017 #13133 #13081 #14243 #22858 #23803) +#23815 := (not #23812) +#23818 := (or #19011 #19017 #23815) +#23821 := (not #23818) +decl uf_27 :: (-> T4 T5 T2) +#3176 := (uf_27 uf_273 #3175) +#12803 := (= uf_9 #3176) +#19008 := (not #12803) +#23824 := (or #19008 #19011 #23821) +#23827 := (not #23824) +#23830 := (or #19008 #19011 #23827) +#23833 := (not #23830) +#14208 := (* -1::int #3184) +#14209 := (+ uf_292 #14208) +#14207 := (>= #14209 0::int) +#23836 := (or #22873 #14243 #14207 #23833) +#23839 := (not #23836) +#14211 := (not #14207) +#12826 := (= uf_293 uf_301) +#12993 := (not #12826) +#12823 := (= uf_292 uf_300) +#13002 := (not #12823) +#23806 := (or #13002 #12993 #22873 #14243 #22858 #14211 #23803) +#23809 := (not #23806) +#23842 := (or #23809 #23839) +#23845 := (not #23842) +#23848 := (or #19011 #19017 #22873 #14243 #23845) +#23851 := (not #23848) +#23854 := (or #19011 #19017 #23851) +#23857 := (not #23854) +#23860 := (or #19008 #19011 #23857) +#23863 := (not #23860) +#23866 := (or #19008 #19011 #23863) +#23869 := (not #23866) +#23872 := (or #22873 #14243 #14046 #23869) +#23875 := (not #23872) +#23912 := (or #23875 #23909) +#23915 := (not #23912) +#14431 := (* -1::int uf_292) +#14432 := (+ #3040 #14431) +#14433 := (<= #14432 0::int) +#14421 := (+ #161 #14044) +#14420 := (>= #14421 0::int) +#22774 := (or #5113 #14420 #14433 #20064) +#23754 := (forall (vars (?x774 int)) (:pat #23745) #22774) +#23759 := (not #23754) +#1322 := 255::int +#16349 := (<= uf_292 255::int) +#23043 := (not #16349) +#16332 := (<= uf_293 131073::int) +#23042 := (not #16332) +#16310 := (<= uf_294 131073::int) +#23041 := (not #16310) +#14490 := (>= uf_292 0::int) +#23039 := (not #14490) +#14462 := (>= uf_294 0::int) +#23038 := (not #14462) +#14453 := (>= #14045 0::int) +#14456 := (not #14453) +#14402 := (* -1::int uf_293) +#14403 := (+ uf_272 #14402) +#14404 := (<= #14403 0::int) +#13942 := (<= uf_272 0::int) +decl uf_202 :: (-> T1 T4 T2) +decl uf_295 :: T1 +#3117 := uf_295 +#3118 := (uf_202 uf_295 uf_273) +#12553 := (= uf_9 #3118) +#15709 := (not #12553) +decl uf_177 :: (-> T4 T4 T2) +#3072 := (uf_177 uf_273 uf_273) +#12437 := (= uf_9 #3072) +#14399 := (not #12437) +#3067 := (uf_66 #2960 uf_293 uf_7) +#3068 := (uf_110 uf_273 #3067) +#12426 := (= uf_292 #3068) +#23037 := (not #12426) +decl uf_6 :: (-> T3 T3) +#11 := (uf_6 uf_7) +decl uf_279 :: T1 +#2990 := uf_279 +#3126 := (up_280 uf_273 uf_295 uf_279 #2992 #11) +#23036 := (not #3126) +decl up_278 :: (-> T4 T1 T1 T5 T3 bool) +#3125 := (up_278 uf_273 uf_295 uf_279 #2960 #11) +#23035 := (not #3125) +decl uf_281 :: T1 +#2995 := uf_281 +#3124 := (up_280 uf_273 uf_295 uf_281 uf_272 uf_4) +#13340 := (not #3124) +#3123 := (up_280 uf_273 uf_295 uf_287 uf_292 uf_7) +#13349 := (not #3123) +#3122 := (up_280 uf_273 uf_295 uf_289 uf_293 uf_4) +#13358 := (not #3122) +#3121 := (up_280 uf_273 uf_295 uf_291 uf_294 uf_4) +#13367 := (not #3121) +#3011 := (uf_66 #2960 0::int uf_7) +#3021 := (uf_110 uf_273 #3011) +decl uf_285 :: int +#3020 := uf_285 +#3022 := (= uf_285 #3021) +#13672 := (not #3022) +#23918 := (or #13672 #13367 #13358 #13349 #13340 #23035 #23036 #23037 #14399 #15709 #13942 #22873 #14243 #14404 #14456 #23038 #23039 #23041 #23042 #23043 #23759 #23915) +#23921 := (not #23918) +#23924 := (or #13672 #13942 #23921) +#23927 := (not #23924) +#13922 := (* -1::int #3040) +#13923 := (+ uf_285 #13922) +#13921 := (>= #13923 0::int) +#13910 := (>= #161 1::int) +#22763 := (or #5113 #13910 #13921 #20064) +#23746 := (forall (vars (?x773 int)) (:pat #23745) #22763) +#23751 := (not #23746) +#23930 := (or #23751 #23927) +#23933 := (not #23930) +decl ?x773!13 :: int +#18929 := ?x773!13 +#18939 := (>= ?x773!13 1::int) +#18934 := (uf_66 #2960 ?x773!13 uf_7) +#18935 := (uf_110 uf_273 #18934) +#18936 := (* -1::int #18935) +#18937 := (+ uf_285 #18936) +#18938 := (>= #18937 0::int) +#18931 := (>= ?x773!13 0::int) +#22737 := (not #18931) +#18930 := (<= ?x773!13 131073::int) +#22736 := (not #18930) +#22752 := (or #22736 #22737 #18938 #18939) +#22757 := (not #22752) +#23936 := (or #22757 #23933) +#23939 := (not #23936) +#13903 := (>= uf_272 1::int) +#13906 := (not #13903) +#23942 := (or #13906 #23939) +#23945 := (not #23942) +#23948 := (or #13906 #23945) +#23951 := (not #23948) +#3017 := (uf_67 uf_273 #3011) +#12367 := (= uf_9 #3017) +#18906 := (not #12367) +#3014 := (uf_48 #3011 uf_7) +#12361 := (= uf_9 #3014) +#18900 := (not #12361) +decl uf_290 :: T1 +#3029 := uf_290 +#3031 := (up_280 uf_273 uf_290 uf_291 1::int uf_4) +#13645 := (not #3031) +decl uf_288 :: T1 +#3026 := uf_288 +#3028 := (up_280 uf_273 uf_288 uf_289 0::int uf_4) +#13654 := (not #3028) +decl uf_286 :: T1 +#3023 := uf_286 +#3025 := (up_280 uf_273 uf_286 uf_287 uf_285 uf_7) +#13663 := (not #3025) +#23954 := (or #13672 #13663 #13654 #13645 #18900 #18906 #23951) +#23957 := (not #23954) +#23960 := (or #18900 #18906 #23957) +#23963 := (not #23960) +#3012 := (uf_27 uf_273 #3011) +#12358 := (= uf_9 #3012) +#18897 := (not #12358) +#23966 := (or #18897 #18900 #23963) +#23969 := (not #23966) +#23972 := (or #18897 #18900 #23969) +#23975 := (not #23972) +decl uf_200 :: (-> T4 T5 T5 T16 T2) +decl uf_284 :: T16 +#3008 := uf_284 +decl uf_116 :: (-> T5 int) +#2961 := (uf_116 #2960) +decl uf_124 :: (-> T3 int T3) +#2952 := (uf_124 uf_7 uf_272) +#2962 := (uf_43 #2952 #2961) +#3009 := (uf_200 uf_273 #2962 #2962 uf_284) +#12355 := (= uf_9 #3009) +#13715 := (not #12355) +#23978 := (or #13715 #23975) +#23981 := (not #23978) +decl uf_14 :: (-> T3 T8) +#24016 := (uf_116 #2962) +#25404 := (uf_43 #2952 #24016) +#25815 := (uf_15 #25404) +#26092 := (uf_14 #25815) +decl uf_16 :: T8 +#35 := uf_16 +#26095 := (= uf_16 #26092) +#26297 := (not #26095) +#2955 := (uf_14 #2952) +#12296 := (= uf_16 #2955) +#12299 := (not #12296) +#26298 := (iff #12299 #26297) +#26293 := (iff #12296 #26095) +#26342 := (iff #26095 #12296) +#26340 := (= #26092 #2955) +#26338 := (= #25815 #2952) +#24234 := (uf_15 #2962) +#28358 := (= #24234 #2952) +#24237 := (= #2952 #24234) +#326 := (:var 1 T3) +#2692 := (uf_43 #326 #161) +#23682 := (pattern #2692) +#2696 := (uf_15 #2692) +#11677 := (= #326 #2696) +#23689 := (forall (vars (?x720 T3) (?x721 int)) (:pat #23682) #11677) +#11681 := (forall (vars (?x720 T3) (?x721 int)) #11677) +#23692 := (iff #11681 #23689) +#23690 := (iff #11677 #11677) +#23691 := [refl]: #23690 +#23693 := [quant-intro #23691]: #23692 +#18759 := (~ #11681 #11681) +#18757 := (~ #11677 #11677) +#18758 := [refl]: #18757 +#18760 := [nnf-pos #18758]: #18759 +#2697 := (= #2696 #326) +#2698 := (forall (vars (?x720 T3) (?x721 int)) #2697) +#11682 := (iff #2698 #11681) +#11679 := (iff #2697 #11677) +#11680 := [rewrite]: #11679 +#11683 := [quant-intro #11680]: #11682 +#11676 := [asserted]: #2698 +#11686 := [mp #11676 #11683]: #11681 +#18761 := [mp~ #11686 #18760]: #11681 +#23694 := [mp #18761 #23693]: #23689 +#24181 := (not #23689) +#24242 := (or #24181 #24237) +#24243 := [quant-inst]: #24242 +#28006 := [unit-resolution #24243 #23694]: #24237 +#28359 := [symm #28006]: #28358 +#26336 := (= #25815 #24234) +#27940 := (= #25404 #2962) +#25411 := (= #2962 #25404) +#2965 := (uf_48 #2962 #2952) +#12305 := (= uf_9 #2965) +decl uf_24 :: (-> T4 T5 T2) +#2969 := (uf_24 uf_273 #2962) +#12311 := (= uf_9 #2969) +decl uf_25 :: (-> T4 T5 T5) +#2967 := (uf_25 uf_273 #2962) +decl uf_26 :: T5 +#78 := uf_26 +#12308 := (= uf_26 #2967) +#2963 := (uf_27 uf_273 #2962) +#12302 := (= uf_9 #2963) +decl uf_22 :: (-> T3 T2) +#2953 := (uf_22 #2952) +#12293 := (= uf_9 #2953) +#14658 := (and #12293 #12299 #12302 #12305 #12308 #12311) +decl uf_269 :: int +#2937 := uf_269 +#14715 := (>= uf_269 0::int) +#14711 := (* -1::int uf_269) +decl uf_78 :: int +#429 := uf_78 +#14712 := (+ uf_78 #14711) +#14710 := (>= #14712 0::int) +#14718 := (and #14710 #14715) +#14721 := (not #14718) +decl uf_270 :: int +#2941 := uf_270 +#14701 := (>= uf_270 0::int) +#14697 := (* -1::int uf_270) +decl uf_76 :: int +#409 := uf_76 +#14698 := (+ uf_76 #14697) +#14696 := (>= #14698 0::int) +#14704 := (and #14696 #14701) +#14707 := (not #14704) +decl uf_271 :: int +#2945 := uf_271 +#14687 := (>= uf_271 0::int) +#14683 := (* -1::int uf_271) +#14684 := (+ uf_76 #14683) +#14682 := (>= #14684 0::int) +#14690 := (and #14682 #14687) +#14693 := (not #14690) +#974 := 1099511627776::int +#14671 := (>= uf_272 1099511627776::int) +#14661 := (not #14658) +decl uf_276 :: (-> T19 int) +#2984 := (:var 0 T19) +#2985 := (uf_276 #2984) +#2986 := (pattern #2985) +decl uf_277 :: int +#2987 := uf_277 +#14648 := (* -1::int uf_277) +#14649 := (+ #2985 #14648) +#14647 := (>= #14649 0::int) +#14646 := (not #14647) +#14652 := (forall (vars (?x771 T19)) (:pat #2986) #14646) +#14655 := (not #14652) +#13943 := (not #13942) +#14502 := (and #3022 #13943) +#14507 := (not #14502) +#14487 := (+ uf_78 #14431) +#14486 := (>= #14487 0::int) +#14493 := (and #14486 #14490) +#14496 := (not #14493) +#14472 := (+ uf_76 #14402) +#14471 := (>= #14472 0::int) +#14478 := (and #13947 #14471) +#14483 := (not #14478) +#14085 := (+ uf_76 #14044) +#14459 := (>= #14085 0::int) +#14465 := (and #14459 #14462) +#14468 := (not #14465) +#4413 := (* -1::int uf_76) +#4418 := (+ #161 #4413) +#4419 := (<= #4418 0::int) +#5736 := (and #4084 #4419) +#5739 := (not #5736) +#14442 := (or #5739 #14420 #14433) +#14447 := (forall (vars (?x774 int)) #14442) +#14450 := (not #14447) +#14405 := (not #14404) +#14411 := (and #12426 #14405) +#14416 := (not #14411) +#14084 := (>= #14085 1::int) +#14175 := (and #14084 #14088) +#14178 := (not #14175) +#14151 := (and #12862 #14145) +#14131 := (or #5739 #14109 #14122) +#14136 := (forall (vars (?x785 int)) #14131) +#14139 := (not #14136) +#14156 := (or #14139 #14151) +#14159 := (and #14136 #14156) +#14162 := (or #14105 #14159) +#14165 := (and #14100 #14162) +#14094 := (and #14076 #14092) +#14097 := (not #14094) +#14193 := (or #12942 #14097 #14165 #14172 #14178) +#14201 := (and #14084 #14088 #14193) +#14078 := (and #13950 #14076) +#14081 := (not #14078) +#12818 := (and #12806 #12812) +#13142 := (not #12818) +#14267 := (or #13124 #13115 #13090 #13142 #13133 #13081 #14243 #14081 #14201) +#14275 := (and #12806 #12812 #14267) +#12809 := (and #12803 #12806) +#13159 := (not #12809) +#14280 := (or #13159 #14275) +#14286 := (and #12803 #12806 #14280) +#13952 := (and #13947 #13950) +#13955 := (not #13952) +#14312 := (or #13955 #14207 #14286) +#14238 := (or #13002 #12993 #13955 #14081 #14201 #14211) +#14317 := (and #14238 #14312) +#14326 := (or #13142 #13955 #14317) +#14334 := (and #12806 #12812 #14326) +#14339 := (or #13159 #14334) +#14345 := (and #12803 #12806 #14339) +#14371 := (or #13955 #14046 #14345) +#13958 := (not #13959) +#13998 := (and #3145 #4084 #4419 #13958) +#14003 := (exists (vars (?x782 int)) #13998) +#13981 := (or #5739 #13959 #13972) +#13986 := (forall (vars (?x781 int)) #13981) +#13989 := (not #13986) +#14006 := (or #13989 #14003) +#14009 := (and #13986 #14006) +decl up_216 :: bool +#2477 := up_216 +#12719 := (not up_216) +#14036 := (or #12719 #12671 #12662 #12653 #12644 #13955 #14009) +#14041 := (and up_216 #14036) +#14070 := (or #13955 #14041 #14049) +#14376 := (and #14070 #14371) +decl uf_55 :: (-> T4 T2) +#2978 := (uf_55 uf_273) +#12332 := (= uf_9 #2978) +#12556 := (and #12332 #12553) +#13376 := (not #12556) +#3127 := (and #3125 #3126) +#13331 := (not #3127) +#14573 := (or #13367 #13358 #13349 #13340 #13331 #14399 #13376 #13955 #14376 #14416 #14450 #14456 #14468 #14483 #14496 #14507) +#14581 := (and #3022 #13943 #14573) +#13931 := (or #5739 #13910 #13921) +#13936 := (forall (vars (?x773 int)) #13931) +#13939 := (not #13936) +#14586 := (or #13939 #14581) +#14589 := (and #13936 #14586) +#14592 := (or #13906 #14589) +#14595 := (and #13903 #14592) +#12373 := (and #12361 #12367) +#13681 := (not #12373) +#14616 := (or #13672 #13663 #13654 #13645 #13681 #14595) +#14624 := (and #12361 #12367 #14616) +#12364 := (and #12358 #12361) +#13698 := (not #12364) +#14629 := (or #13698 #14624) +#14635 := (and #12358 #12361 #14629) +#14640 := (or #13715 #14635) +#14643 := (and #12355 #14640) +#13877 := (>= uf_272 0::int) +#13874 := (+ uf_76 #13873) +#13872 := (>= #13874 0::int) +#13880 := (and #13872 #13877) +#13883 := (not #13880) +decl uf_283 :: (-> int T5 T2) +#26 := (:var 0 T5) +decl uf_282 :: int +#2997 := uf_282 +#3000 := (uf_283 uf_282 #26) +#3001 := (pattern #3000) +#12341 := (= uf_9 #3000) +#12347 := (not #12341) +#12352 := (forall (vars (?x772 T5)) (:pat #3001) #12347) +#13741 := (not #12352) +decl uf_275 :: T1 +#2980 := uf_275 +#2981 := (uf_202 uf_275 uf_273) +#12335 := (= uf_9 #2981) +#12338 := (and #12332 #12335) +#13786 := (not #12338) +decl uf_203 :: (-> T4 T2) +#2976 := (uf_203 uf_273) +#12329 := (= uf_9 #2976) +#13795 := (not #12329) +decl uf_171 :: (-> T4 int) +#2998 := (uf_171 uf_273) +#2999 := (= uf_282 #2998) +#13750 := (not #2999) +#2996 := (up_280 uf_273 uf_275 uf_281 uf_272 uf_4) +#13759 := (not #2996) +#2993 := (up_280 uf_273 uf_275 uf_279 #2992 #11) +#2991 := (up_278 uf_273 uf_275 uf_279 #2960 #11) +#2994 := (and #2991 #2993) +#13768 := (not #2994) +#14766 := (or #13768 #13759 #13750 #13795 #13786 #13741 #13883 #13942 #14643 #14655 #14661 #14671 #14693 #14707 #14721) +#14771 := (not #14766) +#3010 := (= #3009 uf_9) +#3015 := (= #3014 uf_9) +#3013 := (= #3012 uf_9) +#3016 := (and #3013 #3015) +#3018 := (= #3017 uf_9) +#3019 := (and #3018 #3015) +#3037 := (<= 1::int uf_272) +#3041 := (<= #3040 uf_285) +#3038 := (< #161 1::int) +#3042 := (implies #3038 #3041) +#285 := (<= 0::int #161) +#410 := (<= #161 uf_76) +#645 := (and #410 #285) +#3043 := (implies #645 #3042) +#3044 := (forall (vars (?x773 int)) #3043) +#2951 := (< 0::int uf_272) +#3045 := (= #3021 uf_285) +#3046 := (and #3045 #2951) +#3141 := (<= #3040 uf_299) +#3140 := (< #161 uf_272) +#3142 := (implies #3140 #3141) +#3143 := (implies #645 #3142) +#3144 := (forall (vars (?x781 int)) #3143) +#3146 := (and #3140 #645) +#3147 := (and #3145 #3146) +#3148 := (exists (vars (?x782 int)) #3147) +#1 := true +#3149 := (implies #3148 true) +#3150 := (and #3149 #3148) +#3151 := (implies #3144 #3150) +#3152 := (and #3151 #3144) +#3153 := (implies true #3152) +#3139 := (= uf_299 uf_292) +#3154 := (implies #3139 #3153) +#3137 := (= uf_298 uf_293) +#3155 := (implies #3137 #3154) +#3135 := (= uf_297 uf_294) +#3156 := (implies #3135 #3155) +#3133 := (= uf_296 uf_292) +#3157 := (implies #3133 #3156) +#3158 := (implies true #3157) +#3059 := (<= 1::int uf_294) +#3053 := (<= 0::int uf_293) +#3060 := (and #3053 #3059) +#3159 := (implies #3060 #3158) +#3160 := (implies #3060 #3159) +#3161 := (implies true #3160) +#3162 := (implies #3060 #3161) +#3163 := (implies up_216 #3162) +#3164 := (and #3163 up_216) +#3165 := (implies #3060 #3164) +#3166 := (implies true #3165) +#3167 := (implies #3060 #3166) +#3119 := (= #3118 uf_9) +#2979 := (= #2978 uf_9) +#3120 := (and #2979 #3119) +#3295 := (implies #3120 #3167) +#3296 := (implies #3060 #3295) +#3297 := (implies true #3296) +#3298 := (implies #3060 #3297) +#3294 := (not true) +#3299 := (implies #3294 #3298) +#3300 := (implies #3060 #3299) +#3301 := (implies true #3300) +#3179 := (= #3178 uf_9) +#3177 := (= #3176 uf_9) +#3180 := (and #3177 #3179) +#3182 := (= #3181 uf_9) +#3183 := (and #3182 #3179) +#3192 := (+ uf_294 1::int) +#3194 := (<= 0::int #3192) +#3193 := (<= #3192 uf_76) +#3195 := (and #3193 #3194) +#3202 := (<= uf_302 uf_272) +#3204 := (<= #3040 uf_300) +#3203 := (< #161 uf_302) +#3205 := (implies #3203 #3204) +#3206 := (implies #645 #3205) +#3207 := (forall (vars (?x785 int)) #3206) +#3211 := (< uf_301 uf_272) +#3210 := (= #3209 uf_300) +#3212 := (and #3210 #3211) +#3213 := (implies false true) +#3214 := (implies #3212 #3213) +#3215 := (and #3214 #3212) +#3216 := (implies #3207 #3215) +#3217 := (and #3216 #3207) +#3218 := (implies #3202 #3217) +#3219 := (and #3218 #3202) +#3220 := (implies true #3219) +#3200 := (<= 2::int uf_302) +#3190 := (<= 0::int uf_301) +#3201 := (and #3190 #3200) +#3221 := (implies #3201 #3220) +#3222 := (implies #3199 #3221) +#3197 := (= uf_302 #3192) +#3223 := (implies #3197 #3222) +#3224 := (implies #3195 #3223) +#3225 := (and #3224 #3195) +#3191 := (and #3190 #3059) +#3226 := (implies #3191 #3225) +#3227 := (implies true #3226) +#3247 := (= uf_301 uf_294) +#3248 := (implies #3247 #3227) +#3249 := (implies #3246 #3248) +#3250 := (implies true #3249) +#3245 := (and #3059 #3059) +#3251 := (implies #3245 #3250) +#3252 := (implies #3244 #3251) +#3253 := (implies #3242 #3252) +#3240 := (= uf_304 #3184) +#3254 := (implies #3240 #3253) +#3255 := (implies #3183 #3254) +#3256 := (and #3255 #3183) +#3257 := (implies #3180 #3256) +#3258 := (and #3257 #3180) +#3259 := (implies #3060 #3258) +#3260 := (implies true #3259) +#3261 := (implies #3060 #3260) +#3238 := (< uf_292 #3184) +#3262 := (implies #3238 #3261) +#3263 := (implies #3060 #3262) +#3264 := (implies true #3263) +#3189 := (= uf_301 uf_293) +#3228 := (implies #3189 #3227) +#3187 := (= uf_300 uf_292) +#3229 := (implies #3187 #3228) +#3230 := (implies true #3229) +#3231 := (implies #3060 #3230) +#3232 := (implies #3060 #3231) +#3233 := (implies true #3232) +#3234 := (implies #3060 #3233) +#3185 := (<= #3184 uf_292) +#3235 := (implies #3185 #3234) +#3236 := (implies #3060 #3235) +#3237 := (implies true #3236) +#3265 := (and #3237 #3264) +#3266 := (implies #3060 #3265) +#3267 := (implies #3183 #3266) +#3268 := (and #3267 #3183) +#3269 := (implies #3180 #3268) +#3270 := (and #3269 #3180) +#3271 := (implies #3060 #3270) +#3272 := (implies true #3271) +#3273 := (implies #3060 #3272) +#3174 := (< uf_294 uf_272) +#3274 := (implies #3174 #3273) +#3275 := (implies #3060 #3274) +#3276 := (implies true #3275) +#3168 := (implies #3060 #3167) +#3169 := (implies true #3168) +#3170 := (implies #3060 #3169) +#3131 := (<= uf_272 uf_294) +#3171 := (implies #3131 #3170) +#3172 := (implies #3060 #3171) +#3173 := (implies true #3172) +#3277 := (and #3173 #3276) +#3278 := (implies #3060 #3277) +decl uf_59 :: (-> T4 T13) +#3079 := (uf_59 uf_273) +#3129 := (= #3079 #3079) +decl uf_41 :: (-> T4 T12) +#3088 := (uf_41 uf_273) +#3128 := (= #3088 #3088) +#3130 := (and #3128 #3129) +#3279 := (implies #3130 #3278) +#3280 := (implies #3127 #3279) +#3281 := (implies #3124 #3280) +#3282 := (implies #3123 #3281) +#3283 := (implies #3122 #3282) +#3284 := (implies #3121 #3283) +#3285 := (implies #3120 #3284) +#3078 := (<= #2998 #2998) +decl uf_170 :: (-> T4 T5 int) +#3074 := (uf_170 uf_273 #26) +#3075 := (pattern #3074) +#3076 := (<= #3074 #3074) +#3077 := (forall (vars (?x775 T5)) (:pat #3075) #3076) +#3115 := (and #3077 #3078) +#3073 := (= #3072 uf_9) +#3116 := (and #3073 #3115) +#3286 := (implies #3116 #3285) +decl uf_40 :: (-> T12 T5 T11) +#3089 := (uf_40 #3088 #26) +#3090 := (pattern #3089) +decl uf_261 :: T8 +#2832 := uf_261 +#3102 := (uf_25 uf_273 #26) +#3103 := (uf_15 #3102) +#3104 := (uf_14 #3103) +#3105 := (= #3104 uf_261) +#3106 := (not #3105) +#3107 := (implies #3106 #3106) +#3108 := (forall (vars (?x779 T5)) (:pat #3090) #3107) +decl uf_19 :: (-> T9 T5 int) +decl uf_20 :: (-> T4 T9) +#3095 := (uf_20 uf_273) +#3096 := (uf_19 #3095 #26) +#3097 := (pattern #3096) +#3098 := (= #3096 #3096) +#3082 := (uf_67 uf_273 #26) +#3083 := (= #3082 uf_9) +#3099 := (and #3083 #3098) +#3100 := (implies #3083 #3099) +#3101 := (forall (vars (?x778 T5)) (:pat #3097) #3100) +#3109 := (and #3101 #3108) +#3091 := (= #3089 #3089) +#3092 := (and #3083 #3091) +#3093 := (implies #3083 #3092) +#3094 := (forall (vars (?x777 T5)) (:pat #3090) #3093) +#3110 := (and #3094 #3109) +decl uf_58 :: (-> T13 T5 T14) +#3080 := (uf_58 #3079 #26) +#3081 := (pattern #3080) +#3084 := (= #3080 #3080) +#3085 := (and #3083 #3084) +#3086 := (implies #3083 #3085) +#3087 := (forall (vars (?x776 T5)) (:pat #3081) #3086) +#3111 := (and #3087 #3110) +#3112 := (and #3078 #3111) +#3113 := (and #3077 #3112) +#3114 := (and #3073 #3113) +#3287 := (implies #3114 #3286) +#3288 := (implies #3060 #3287) +#3289 := (implies true #3288) +#3290 := (implies #3060 #3289) +#3291 := (implies true #3290) +#3292 := (implies #3060 #3291) +#3293 := (implies true #3292) +#3302 := (and #3293 #3301) +#3303 := (implies #3060 #3302) +#3070 := (< uf_293 uf_272) +#3069 := (= #3068 uf_292) +#3071 := (and #3069 #3070) +#3304 := (implies #3071 #3303) +#3063 := (<= #3040 uf_292) +#3062 := (< #161 uf_294) +#3064 := (implies #3062 #3063) +#3065 := (implies #645 #3064) +#3066 := (forall (vars (?x774 int)) #3065) +#3305 := (implies #3066 #3304) +#3061 := (<= uf_294 uf_272) +#3306 := (implies #3061 #3305) +#3307 := (implies #3060 #3306) +#3057 := (<= 0::int uf_294) +#3056 := (<= uf_294 uf_76) +#3058 := (and #3056 #3057) +#3308 := (implies #3058 #3307) +#3052 := (<= uf_293 uf_76) +#3054 := (and #3052 #3053) +#3309 := (implies #3054 #3308) +#3049 := (<= 0::int uf_292) +#3048 := (<= uf_292 uf_78) +#3050 := (and #3048 #3049) +#3310 := (implies #3050 #3309) +#3311 := (implies true #3310) +#3312 := (implies #3046 #3311) +#3313 := (and #3312 #3046) +#3314 := (implies #3044 #3313) +#3315 := (and #3314 #3044) +#3316 := (implies #3037 #3315) +#3317 := (and #3316 #3037) +#3033 := (<= 1::int 1::int) +#3034 := (and #3033 #3033) +#3032 := (<= 0::int 0::int) +#3035 := (and #3032 #3034) +#3036 := (and #3032 #3035) +#3318 := (implies #3036 #3317) +#3319 := (implies #3031 #3318) +#3320 := (implies #3028 #3319) +#3321 := (implies #3025 #3320) +#3322 := (implies #3022 #3321) +#3323 := (implies #3019 #3322) +#3324 := (and #3323 #3019) +#3325 := (implies #3016 #3324) +#3326 := (and #3325 #3016) +#3327 := (implies #3010 #3326) +#3328 := (and #3327 #3010) +#3006 := (<= 0::int uf_272) +#3005 := (<= uf_272 uf_76) +#3007 := (and #3005 #3006) +#3329 := (implies #3007 #3328) +#3002 := (= #3000 uf_9) +#3003 := (iff #3002 false) +#3004 := (forall (vars (?x772 T5)) (:pat #3001) #3003) +#3330 := (implies #3004 #3329) +#3331 := (implies #2999 #3330) +#3332 := (implies #2996 #3331) +#3333 := (implies #2994 #3332) +#2988 := (< #2985 uf_277) +#2989 := (forall (vars (?x771 T19)) (:pat #2986) #2988) +#3334 := (implies #2989 #3333) +#2982 := (= #2981 uf_9) +#2983 := (and #2979 #2982) +#3335 := (implies #2983 #3334) +#2977 := (= #2976 uf_9) +#3336 := (implies #2977 #3335) +#3337 := (implies true #3336) +#2970 := (= #2969 uf_9) +#2968 := (= #2967 uf_26) +#2971 := (and #2968 #2970) +#2966 := (= #2965 uf_9) +#2972 := (and #2966 #2971) +#2964 := (= #2963 uf_9) +#2973 := (and #2964 #2972) +#2956 := (= #2955 uf_16) +#2957 := (not #2956) +#2974 := (and #2957 #2973) +#2954 := (= #2953 uf_9) +#2975 := (and #2954 #2974) +#3338 := (implies #2975 #3337) +#3339 := (implies #2951 #3338) +#2950 := (< uf_272 1099511627776::int) +#3340 := (implies #2950 #3339) +#2947 := (<= 0::int uf_271) +#2946 := (<= uf_271 uf_76) +#2948 := (and #2946 #2947) +#3341 := (implies #2948 #3340) +#2943 := (<= 0::int uf_270) +#2942 := (<= uf_270 uf_76) +#2944 := (and #2942 #2943) +#3342 := (implies #2944 #3341) +#2939 := (<= 0::int uf_269) +#2938 := (<= uf_269 uf_78) +#2940 := (and #2938 #2939) +#3343 := (implies #2940 #3342) +#3344 := (implies true #3343) +#3345 := (not #3344) +#14774 := (iff #3345 #14771) +#12868 := (and #3211 #12862) +#12847 := (not #3203) +#12848 := (or #12847 #3204) +#5718 := (and #285 #410) +#5727 := (not #5718) +#12854 := (or #5727 #12848) +#12859 := (forall (vars (?x785 int)) #12854) +#12892 := (not #12859) +#12893 := (or #12892 #12868) +#12901 := (and #12859 #12893) +#12909 := (not #3202) +#12910 := (or #12909 #12901) +#12918 := (and #3202 #12910) +#12933 := (not #3201) +#12934 := (or #12933 #12918) +#12943 := (or #12942 #12934) +#12832 := (+ 1::int uf_294) +#12844 := (= uf_302 #12832) +#12951 := (not #12844) +#12952 := (or #12951 #12943) +#12838 := (<= 0::int #12832) +#12835 := (<= #12832 uf_76) +#12841 := (and #12835 #12838) +#12960 := (not #12841) +#12961 := (or #12960 #12952) +#12969 := (and #12841 #12961) +#12829 := (and #3059 #3190) +#12977 := (not #12829) +#12978 := (or #12977 #12969) +#13082 := (or #12978 #13081) +#13091 := (or #13090 #13082) +#13106 := (not #3059) +#13107 := (or #13106 #13091) +#13116 := (or #13115 #13107) +#13125 := (or #13124 #13116) +#13134 := (or #13133 #13125) +#13143 := (or #13142 #13134) +#13151 := (and #12818 #13143) +#13160 := (or #13159 #13151) +#13168 := (and #12809 #13160) +#12687 := (not #3060) +#13176 := (or #12687 #13168) +#13191 := (or #12687 #13176) +#13199 := (not #3238) +#13200 := (or #13199 #13191) +#13208 := (or #12687 #13200) +#12994 := (or #12993 #12978) +#13003 := (or #13002 #12994) +#13018 := (or #12687 #13003) +#13026 := (or #12687 #13018) +#13041 := (or #12687 #13026) +#13049 := (not #3185) +#13050 := (or #13049 #13041) +#13058 := (or #12687 #13050) +#13220 := (and #13058 #13208) +#13226 := (or #12687 #13220) +#13234 := (or #13142 #13226) +#13242 := (and #12818 #13234) +#13250 := (or #13159 #13242) +#13258 := (and #12809 #13250) +#13266 := (or #12687 #13258) +#13281 := (or #12687 #13266) +#13289 := (not #3174) +#13290 := (or #13289 #13281) +#13298 := (or #12687 #13290) +#12594 := (and #3140 #5718) +#12597 := (and #3145 #12594) +#12600 := (exists (vars (?x782 int)) #12597) +#12579 := (not #3140) +#12580 := (or #12579 #3141) +#12586 := (or #5727 #12580) +#12591 := (forall (vars (?x781 int)) #12586) +#12620 := (not #12591) +#12621 := (or #12620 #12600) +#12629 := (and #12591 #12621) +#12645 := (or #12644 #12629) +#12654 := (or #12653 #12645) +#12663 := (or #12662 #12654) +#12672 := (or #12671 #12663) +#12688 := (or #12687 #12672) +#12696 := (or #12687 #12688) +#12711 := (or #12687 #12696) +#12720 := (or #12719 #12711) +#12728 := (and up_216 #12720) +#12736 := (or #12687 #12728) +#12751 := (or #12687 #12736) +#12759 := (or #12687 #12751) +#12774 := (or #12687 #12759) +#12782 := (not #3131) +#12783 := (or #12782 #12774) +#12791 := (or #12687 #12783) +#13310 := (and #12791 #13298) +#13316 := (or #12687 #13310) +#13332 := (or #13331 #13316) +#13341 := (or #13340 #13332) +#13350 := (or #13349 #13341) +#13359 := (or #13358 #13350) +#13368 := (or #13367 #13359) +#13377 := (or #13376 #13368) +#12544 := (and #3115 #12437) +#13385 := (not #12544) +#13386 := (or #13385 #13377) +#13394 := (or #13385 #13386) +#13402 := (or #12687 #13394) +#13417 := (or #12687 #13402) +#13432 := (or #12687 #13417) +#13508 := (or #12687 #13432) +#12432 := (and #3070 #12426) +#13516 := (not #12432) +#13517 := (or #13516 #13508) +#12411 := (not #3062) +#12412 := (or #12411 #3063) +#12418 := (or #5727 #12412) +#12423 := (forall (vars (?x774 int)) #12418) +#13525 := (not #12423) +#13526 := (or #13525 #13517) +#13534 := (not #3061) +#13535 := (or #13534 #13526) +#13543 := (or #12687 #13535) +#13551 := (not #3058) +#13552 := (or #13551 #13543) +#13560 := (not #3054) +#13561 := (or #13560 #13552) +#13569 := (not #3050) +#13570 := (or #13569 #13561) +#12406 := (and #2951 #3022) +#13585 := (not #12406) +#13586 := (or #13585 #13570) +#13594 := (and #12406 #13586) +#12386 := (not #3038) +#12387 := (or #12386 #3041) +#12393 := (or #5727 #12387) +#12398 := (forall (vars (?x773 int)) #12393) +#13602 := (not #12398) +#13603 := (or #13602 #13594) +#13611 := (and #12398 #13603) +#13619 := (not #3037) +#13620 := (or #13619 #13611) +#13628 := (and #3037 #13620) +#12380 := (and #3032 #3033) +#12383 := (and #3032 #12380) +#13636 := (not #12383) +#13637 := (or #13636 #13628) +#13646 := (or #13645 #13637) +#13655 := (or #13654 #13646) +#13664 := (or #13663 #13655) +#13673 := (or #13672 #13664) +#13682 := (or #13681 #13673) +#13690 := (and #12373 #13682) +#13699 := (or #13698 #13690) +#13707 := (and #12364 #13699) +#13716 := (or #13715 #13707) +#13724 := (and #12355 #13716) +#13732 := (not #3007) +#13733 := (or #13732 #13724) +#13742 := (or #13741 #13733) +#13751 := (or #13750 #13742) +#13760 := (or #13759 #13751) +#13769 := (or #13768 #13760) +#13777 := (not #2989) +#13778 := (or #13777 #13769) +#13787 := (or #13786 #13778) +#13796 := (or #13795 #13787) +#12314 := (and #12308 #12311) +#12317 := (and #12305 #12314) +#12320 := (and #12302 #12317) +#12323 := (and #12299 #12320) +#12326 := (and #12293 #12323) +#13811 := (not #12326) +#13812 := (or #13811 #13796) +#13820 := (not #2951) +#13821 := (or #13820 #13812) +#13829 := (not #2950) +#13830 := (or #13829 #13821) +#13838 := (not #2948) +#13839 := (or #13838 #13830) +#13847 := (not #2944) +#13848 := (or #13847 #13839) +#13856 := (not #2940) +#13857 := (or #13856 #13848) +#13869 := (not #13857) +#14772 := (iff #13869 #14771) +#14769 := (iff #13857 #14766) +#14724 := (or #13883 #14643) +#14727 := (or #13741 #14724) +#14730 := (or #13750 #14727) +#14733 := (or #13759 #14730) +#14736 := (or #13768 #14733) +#14739 := (or #14655 #14736) +#14742 := (or #13786 #14739) +#14745 := (or #13795 #14742) +#14748 := (or #14661 #14745) +#14751 := (or #13942 #14748) +#14754 := (or #14671 #14751) +#14757 := (or #14693 #14754) +#14760 := (or #14707 #14757) +#14763 := (or #14721 #14760) +#14767 := (iff #14763 #14766) +#14768 := [rewrite]: #14767 +#14764 := (iff #13857 #14763) +#14761 := (iff #13848 #14760) +#14758 := (iff #13839 #14757) +#14755 := (iff #13830 #14754) +#14752 := (iff #13821 #14751) +#14749 := (iff #13812 #14748) +#14746 := (iff #13796 #14745) +#14743 := (iff #13787 #14742) +#14740 := (iff #13778 #14739) +#14737 := (iff #13769 #14736) +#14734 := (iff #13760 #14733) +#14731 := (iff #13751 #14730) +#14728 := (iff #13742 #14727) +#14725 := (iff #13733 #14724) +#14644 := (iff #13724 #14643) +#14641 := (iff #13716 #14640) +#14638 := (iff #13707 #14635) +#14632 := (and #12364 #14629) +#14636 := (iff #14632 #14635) +#14637 := [rewrite]: #14636 +#14633 := (iff #13707 #14632) +#14630 := (iff #13699 #14629) +#14627 := (iff #13690 #14624) +#14621 := (and #12373 #14616) +#14625 := (iff #14621 #14624) +#14626 := [rewrite]: #14625 +#14622 := (iff #13690 #14621) +#14619 := (iff #13682 #14616) +#14598 := (or false #14595) +#14601 := (or #13645 #14598) +#14604 := (or #13654 #14601) +#14607 := (or #13663 #14604) +#14610 := (or #13672 #14607) +#14613 := (or #13681 #14610) +#14617 := (iff #14613 #14616) +#14618 := [rewrite]: #14617 +#14614 := (iff #13682 #14613) +#14611 := (iff #13673 #14610) +#14608 := (iff #13664 #14607) +#14605 := (iff #13655 #14604) +#14602 := (iff #13646 #14601) +#14599 := (iff #13637 #14598) +#14596 := (iff #13628 #14595) +#14593 := (iff #13620 #14592) +#14590 := (iff #13611 #14589) +#14587 := (iff #13603 #14586) +#14584 := (iff #13594 #14581) +#14499 := (and #13943 #3022) +#14578 := (and #14499 #14573) +#14582 := (iff #14578 #14581) +#14583 := [rewrite]: #14582 +#14579 := (iff #13594 #14578) +#14576 := (iff #13586 #14573) +#14510 := (or #13955 #14376) +#14513 := (or #13331 #14510) +#14516 := (or #13340 #14513) +#14519 := (or #13349 #14516) +#14522 := (or #13358 #14519) +#14525 := (or #13367 #14522) +#14528 := (or #13376 #14525) +#14531 := (or #14399 #14528) +#14534 := (or #14399 #14531) +#14537 := (or #13955 #14534) +#14540 := (or #13955 #14537) +#14543 := (or #13955 #14540) +#14546 := (or #13955 #14543) +#14549 := (or #14416 #14546) +#14552 := (or #14450 #14549) +#14555 := (or #14456 #14552) +#14558 := (or #13955 #14555) +#14561 := (or #14468 #14558) +#14564 := (or #14483 #14561) +#14567 := (or #14496 #14564) +#14570 := (or #14507 #14567) +#14574 := (iff #14570 #14573) +#14575 := [rewrite]: #14574 +#14571 := (iff #13586 #14570) +#14568 := (iff #13570 #14567) +#14565 := (iff #13561 #14564) +#14562 := (iff #13552 #14561) +#14559 := (iff #13543 #14558) +#14556 := (iff #13535 #14555) +#14553 := (iff #13526 #14552) +#14550 := (iff #13517 #14549) +#14547 := (iff #13508 #14546) +#14544 := (iff #13432 #14543) +#14541 := (iff #13417 #14540) +#14538 := (iff #13402 #14537) +#14535 := (iff #13394 #14534) +#14532 := (iff #13386 #14531) +#14529 := (iff #13377 #14528) +#14526 := (iff #13368 #14525) +#14523 := (iff #13359 #14522) +#14520 := (iff #13350 #14519) +#14517 := (iff #13341 #14516) +#14514 := (iff #13332 #14513) +#14511 := (iff #13316 #14510) +#14377 := (iff #13310 #14376) +#14374 := (iff #13298 #14371) +#14359 := (or #13955 #14345) +#14362 := (or #13955 #14359) +#14365 := (or #14046 #14362) +#14368 := (or #13955 #14365) +#14372 := (iff #14368 #14371) +#14373 := [rewrite]: #14372 +#14369 := (iff #13298 #14368) +#14366 := (iff #13290 #14365) +#14363 := (iff #13281 #14362) +#14360 := (iff #13266 #14359) +#14348 := (iff #13258 #14345) +#14342 := (and #12809 #14339) +#14346 := (iff #14342 #14345) +#14347 := [rewrite]: #14346 +#14343 := (iff #13258 #14342) +#14340 := (iff #13250 #14339) +#14337 := (iff #13242 #14334) +#14331 := (and #12818 #14326) +#14335 := (iff #14331 #14334) +#14336 := [rewrite]: #14335 +#14332 := (iff #13242 #14331) +#14329 := (iff #13234 #14326) +#14320 := (or #13955 #14317) +#14323 := (or #13142 #14320) +#14327 := (iff #14323 #14326) +#14328 := [rewrite]: #14327 +#14324 := (iff #13234 #14323) +#14321 := (iff #13226 #14320) +#14318 := (iff #13220 #14317) +#14315 := (iff #13208 #14312) +#14300 := (or #13955 #14286) +#14303 := (or #13955 #14300) +#14306 := (or #14207 #14303) +#14309 := (or #13955 #14306) +#14313 := (iff #14309 #14312) +#14314 := [rewrite]: #14313 +#14310 := (iff #13208 #14309) +#14307 := (iff #13200 #14306) +#14304 := (iff #13191 #14303) +#14301 := (iff #13176 #14300) +#14289 := (iff #13168 #14286) +#14283 := (and #12809 #14280) +#14287 := (iff #14283 #14286) +#14288 := [rewrite]: #14287 +#14284 := (iff #13168 #14283) +#14281 := (iff #13160 #14280) +#14278 := (iff #13151 #14275) +#14272 := (and #12818 #14267) +#14276 := (iff #14272 #14275) +#14277 := [rewrite]: #14276 +#14273 := (iff #13151 #14272) +#14270 := (iff #13143 #14267) +#14214 := (or #14081 #14201) +#14246 := (or #14214 #13081) +#14249 := (or #13090 #14246) +#14252 := (or #14243 #14249) +#14255 := (or #13115 #14252) +#14258 := (or #13124 #14255) +#14261 := (or #13133 #14258) +#14264 := (or #13142 #14261) +#14268 := (iff #14264 #14267) +#14269 := [rewrite]: #14268 +#14265 := (iff #13143 #14264) +#14262 := (iff #13134 #14261) +#14259 := (iff #13125 #14258) +#14256 := (iff #13116 #14255) +#14253 := (iff #13107 #14252) +#14250 := (iff #13091 #14249) +#14247 := (iff #13082 #14246) +#14215 := (iff #12978 #14214) +#14204 := (iff #12969 #14201) +#14198 := (and #14175 #14193) +#14202 := (iff #14198 #14201) +#14203 := [rewrite]: #14202 +#14199 := (iff #12969 #14198) +#14196 := (iff #12961 #14193) +#14181 := (or #14097 #14165) +#14184 := (or #12942 #14181) +#14187 := (or #14172 #14184) +#14190 := (or #14178 #14187) +#14194 := (iff #14190 #14193) +#14195 := [rewrite]: #14194 +#14191 := (iff #12961 #14190) +#14188 := (iff #12952 #14187) +#14185 := (iff #12943 #14184) +#14182 := (iff #12934 #14181) +#14166 := (iff #12918 #14165) +#14163 := (iff #12910 #14162) +#14160 := (iff #12901 #14159) +#14157 := (iff #12893 #14156) +#14154 := (iff #12868 #14151) +#14148 := (and #14145 #12862) +#14152 := (iff #14148 #14151) +#14153 := [rewrite]: #14152 +#14149 := (iff #12868 #14148) +#14146 := (iff #3211 #14145) +#14147 := [rewrite]: #14146 +#14150 := [monotonicity #14147]: #14149 +#14155 := [trans #14150 #14153]: #14154 +#14140 := (iff #12892 #14139) +#14137 := (iff #12859 #14136) +#14134 := (iff #12854 #14131) +#14125 := (or #14109 #14122) +#14128 := (or #5739 #14125) +#14132 := (iff #14128 #14131) +#14133 := [rewrite]: #14132 +#14129 := (iff #12854 #14128) +#14126 := (iff #12848 #14125) +#14123 := (iff #3204 #14122) +#14124 := [rewrite]: #14123 +#14118 := (iff #12847 #14109) +#14108 := (not #14109) +#14113 := (not #14108) +#14116 := (iff #14113 #14109) +#14117 := [rewrite]: #14116 +#14114 := (iff #12847 #14113) +#14111 := (iff #3203 #14108) +#14112 := [rewrite]: #14111 +#14115 := [monotonicity #14112]: #14114 +#14119 := [trans #14115 #14117]: #14118 +#14127 := [monotonicity #14119 #14124]: #14126 +#5740 := (iff #5727 #5739) +#5737 := (iff #5718 #5736) +#4420 := (iff #410 #4419) +#4421 := [rewrite]: #4420 +#4083 := (iff #285 #4084) +#4085 := [rewrite]: #4083 +#5738 := [monotonicity #4085 #4421]: #5737 +#5741 := [monotonicity #5738]: #5740 +#14130 := [monotonicity #5741 #14127]: #14129 +#14135 := [trans #14130 #14133]: #14134 +#14138 := [quant-intro #14135]: #14137 +#14141 := [monotonicity #14138]: #14140 +#14158 := [monotonicity #14141 #14155]: #14157 +#14161 := [monotonicity #14138 #14158]: #14160 +#14106 := (iff #12909 #14105) +#14103 := (iff #3202 #14100) +#14104 := [rewrite]: #14103 +#14107 := [monotonicity #14104]: #14106 +#14164 := [monotonicity #14107 #14161]: #14163 +#14167 := [monotonicity #14104 #14164]: #14166 +#14098 := (iff #12933 #14097) +#14095 := (iff #3201 #14094) +#14091 := (iff #3200 #14092) +#14093 := [rewrite]: #14091 +#14075 := (iff #3190 #14076) +#14077 := [rewrite]: #14075 +#14096 := [monotonicity #14077 #14093]: #14095 +#14099 := [monotonicity #14096]: #14098 +#14183 := [monotonicity #14099 #14167]: #14182 +#14186 := [monotonicity #14183]: #14185 +#14173 := (iff #12951 #14172) +#14170 := (iff #12844 #14168) +#14171 := [rewrite]: #14170 +#14174 := [monotonicity #14171]: #14173 +#14189 := [monotonicity #14174 #14186]: #14188 +#14179 := (iff #12960 #14178) +#14176 := (iff #12841 #14175) +#14089 := (iff #12838 #14088) +#14090 := [rewrite]: #14089 +#14086 := (iff #12835 #14084) +#14087 := [rewrite]: #14086 +#14177 := [monotonicity #14087 #14090]: #14176 +#14180 := [monotonicity #14177]: #14179 +#14192 := [monotonicity #14180 #14189]: #14191 +#14197 := [trans #14192 #14195]: #14196 +#14200 := [monotonicity #14177 #14197]: #14199 +#14205 := [trans #14200 #14203]: #14204 +#14082 := (iff #12977 #14081) +#14079 := (iff #12829 #14078) +#13949 := (iff #3059 #13950) +#13951 := [rewrite]: #13949 +#14080 := [monotonicity #13951 #14077]: #14079 +#14083 := [monotonicity #14080]: #14082 +#14216 := [monotonicity #14083 #14205]: #14215 +#14248 := [monotonicity #14216]: #14247 +#14251 := [monotonicity #14248]: #14250 +#14244 := (iff #13106 #14243) +#14245 := [monotonicity #13951]: #14244 +#14254 := [monotonicity #14245 #14251]: #14253 +#14257 := [monotonicity #14254]: #14256 +#14260 := [monotonicity #14257]: #14259 +#14263 := [monotonicity #14260]: #14262 +#14266 := [monotonicity #14263]: #14265 +#14271 := [trans #14266 #14269]: #14270 +#14274 := [monotonicity #14271]: #14273 +#14279 := [trans #14274 #14277]: #14278 +#14282 := [monotonicity #14279]: #14281 +#14285 := [monotonicity #14282]: #14284 +#14290 := [trans #14285 #14288]: #14289 +#13956 := (iff #12687 #13955) +#13953 := (iff #3060 #13952) +#13946 := (iff #3053 #13947) +#13948 := [rewrite]: #13946 +#13954 := [monotonicity #13948 #13951]: #13953 +#13957 := [monotonicity #13954]: #13956 +#14302 := [monotonicity #13957 #14290]: #14301 +#14305 := [monotonicity #13957 #14302]: #14304 +#14298 := (iff #13199 #14207) +#14293 := (not #14211) +#14296 := (iff #14293 #14207) +#14297 := [rewrite]: #14296 +#14294 := (iff #13199 #14293) +#14291 := (iff #3238 #14211) +#14292 := [rewrite]: #14291 +#14295 := [monotonicity #14292]: #14294 +#14299 := [trans #14295 #14297]: #14298 +#14308 := [monotonicity #14299 #14305]: #14307 +#14311 := [monotonicity #13957 #14308]: #14310 +#14316 := [trans #14311 #14314]: #14315 +#14241 := (iff #13058 #14238) +#14217 := (or #12993 #14214) +#14220 := (or #13002 #14217) +#14223 := (or #13955 #14220) +#14226 := (or #13955 #14223) +#14229 := (or #13955 #14226) +#14232 := (or #14211 #14229) +#14235 := (or #13955 #14232) +#14239 := (iff #14235 #14238) +#14240 := [rewrite]: #14239 +#14236 := (iff #13058 #14235) +#14233 := (iff #13050 #14232) +#14230 := (iff #13041 #14229) +#14227 := (iff #13026 #14226) +#14224 := (iff #13018 #14223) +#14221 := (iff #13003 #14220) +#14218 := (iff #12994 #14217) +#14219 := [monotonicity #14216]: #14218 +#14222 := [monotonicity #14219]: #14221 +#14225 := [monotonicity #13957 #14222]: #14224 +#14228 := [monotonicity #13957 #14225]: #14227 +#14231 := [monotonicity #13957 #14228]: #14230 +#14212 := (iff #13049 #14211) +#14206 := (iff #3185 #14207) +#14210 := [rewrite]: #14206 +#14213 := [monotonicity #14210]: #14212 +#14234 := [monotonicity #14213 #14231]: #14233 +#14237 := [monotonicity #13957 #14234]: #14236 +#14242 := [trans #14237 #14240]: #14241 +#14319 := [monotonicity #14242 #14316]: #14318 +#14322 := [monotonicity #13957 #14319]: #14321 +#14325 := [monotonicity #14322]: #14324 +#14330 := [trans #14325 #14328]: #14329 +#14333 := [monotonicity #14330]: #14332 +#14338 := [trans #14333 #14336]: #14337 +#14341 := [monotonicity #14338]: #14340 +#14344 := [monotonicity #14341]: #14343 +#14349 := [trans #14344 #14347]: #14348 +#14361 := [monotonicity #13957 #14349]: #14360 +#14364 := [monotonicity #13957 #14361]: #14363 +#14357 := (iff #13289 #14046) +#14352 := (not #14049) +#14355 := (iff #14352 #14046) +#14356 := [rewrite]: #14355 +#14353 := (iff #13289 #14352) +#14350 := (iff #3174 #14049) +#14351 := [rewrite]: #14350 +#14354 := [monotonicity #14351]: #14353 +#14358 := [trans #14354 #14356]: #14357 +#14367 := [monotonicity #14358 #14364]: #14366 +#14370 := [monotonicity #13957 #14367]: #14369 +#14375 := [trans #14370 #14373]: #14374 +#14073 := (iff #12791 #14070) +#14052 := (or #13955 #14041) +#14055 := (or #13955 #14052) +#14058 := (or #13955 #14055) +#14061 := (or #13955 #14058) +#14064 := (or #14049 #14061) +#14067 := (or #13955 #14064) +#14071 := (iff #14067 #14070) +#14072 := [rewrite]: #14071 +#14068 := (iff #12791 #14067) +#14065 := (iff #12783 #14064) +#14062 := (iff #12774 #14061) +#14059 := (iff #12759 #14058) +#14056 := (iff #12751 #14055) +#14053 := (iff #12736 #14052) +#14042 := (iff #12728 #14041) +#14039 := (iff #12720 #14036) +#14012 := (or #12644 #14009) +#14015 := (or #12653 #14012) +#14018 := (or #12662 #14015) +#14021 := (or #12671 #14018) +#14024 := (or #13955 #14021) +#14027 := (or #13955 #14024) +#14030 := (or #13955 #14027) +#14033 := (or #12719 #14030) +#14037 := (iff #14033 #14036) +#14038 := [rewrite]: #14037 +#14034 := (iff #12720 #14033) +#14031 := (iff #12711 #14030) +#14028 := (iff #12696 #14027) +#14025 := (iff #12688 #14024) +#14022 := (iff #12672 #14021) +#14019 := (iff #12663 #14018) +#14016 := (iff #12654 #14015) +#14013 := (iff #12645 #14012) +#14010 := (iff #12629 #14009) +#14007 := (iff #12621 #14006) +#14004 := (iff #12600 #14003) +#14001 := (iff #12597 #13998) +#13992 := (and #13958 #5736) +#13995 := (and #3145 #13992) +#13999 := (iff #13995 #13998) +#14000 := [rewrite]: #13999 +#13996 := (iff #12597 #13995) +#13993 := (iff #12594 #13992) +#13961 := (iff #3140 #13958) +#13962 := [rewrite]: #13961 +#13994 := [monotonicity #13962 #5738]: #13993 +#13997 := [monotonicity #13994]: #13996 +#14002 := [trans #13997 #14000]: #14001 +#14005 := [quant-intro #14002]: #14004 +#13990 := (iff #12620 #13989) +#13987 := (iff #12591 #13986) +#13984 := (iff #12586 #13981) +#13975 := (or #13959 #13972) +#13978 := (or #5739 #13975) +#13982 := (iff #13978 #13981) +#13983 := [rewrite]: #13982 +#13979 := (iff #12586 #13978) +#13976 := (iff #12580 #13975) +#13973 := (iff #3141 #13972) +#13974 := [rewrite]: #13973 +#13968 := (iff #12579 #13959) +#13963 := (not #13958) +#13966 := (iff #13963 #13959) +#13967 := [rewrite]: #13966 +#13964 := (iff #12579 #13963) +#13965 := [monotonicity #13962]: #13964 +#13969 := [trans #13965 #13967]: #13968 +#13977 := [monotonicity #13969 #13974]: #13976 +#13980 := [monotonicity #5741 #13977]: #13979 +#13985 := [trans #13980 #13983]: #13984 +#13988 := [quant-intro #13985]: #13987 +#13991 := [monotonicity #13988]: #13990 +#14008 := [monotonicity #13991 #14005]: #14007 +#14011 := [monotonicity #13988 #14008]: #14010 +#14014 := [monotonicity #14011]: #14013 +#14017 := [monotonicity #14014]: #14016 +#14020 := [monotonicity #14017]: #14019 +#14023 := [monotonicity #14020]: #14022 +#14026 := [monotonicity #13957 #14023]: #14025 +#14029 := [monotonicity #13957 #14026]: #14028 +#14032 := [monotonicity #13957 #14029]: #14031 +#14035 := [monotonicity #14032]: #14034 +#14040 := [trans #14035 #14038]: #14039 +#14043 := [monotonicity #14040]: #14042 +#14054 := [monotonicity #13957 #14043]: #14053 +#14057 := [monotonicity #13957 #14054]: #14056 +#14060 := [monotonicity #13957 #14057]: #14059 +#14063 := [monotonicity #13957 #14060]: #14062 +#14050 := (iff #12782 #14049) +#14047 := (iff #3131 #14046) +#14048 := [rewrite]: #14047 +#14051 := [monotonicity #14048]: #14050 +#14066 := [monotonicity #14051 #14063]: #14065 +#14069 := [monotonicity #13957 #14066]: #14068 +#14074 := [trans #14069 #14072]: #14073 +#14378 := [monotonicity #14074 #14375]: #14377 +#14512 := [monotonicity #13957 #14378]: #14511 +#14515 := [monotonicity #14512]: #14514 +#14518 := [monotonicity #14515]: #14517 +#14521 := [monotonicity #14518]: #14520 +#14524 := [monotonicity #14521]: #14523 +#14527 := [monotonicity #14524]: #14526 +#14530 := [monotonicity #14527]: #14529 +#14400 := (iff #13385 #14399) +#14397 := (iff #12544 #12437) +#12517 := (and true true) +#14392 := (and #12517 #12437) +#14395 := (iff #14392 #12437) +#14396 := [rewrite]: #14395 +#14393 := (iff #12544 #14392) +#14390 := (iff #3115 #12517) +#14388 := (iff #3078 true) +#14389 := [rewrite]: #14388 +#14386 := (iff #3077 true) +#14381 := (forall (vars (?x775 T5)) (:pat #3075) true) +#14384 := (iff #14381 true) +#14385 := [elim-unused]: #14384 +#14382 := (iff #3077 #14381) +#14379 := (iff #3076 true) +#14380 := [rewrite]: #14379 +#14383 := [quant-intro #14380]: #14382 +#14387 := [trans #14383 #14385]: #14386 +#14391 := [monotonicity #14387 #14389]: #14390 +#14394 := [monotonicity #14391]: #14393 +#14398 := [trans #14394 #14396]: #14397 +#14401 := [monotonicity #14398]: #14400 +#14533 := [monotonicity #14401 #14530]: #14532 +#14536 := [monotonicity #14401 #14533]: #14535 +#14539 := [monotonicity #13957 #14536]: #14538 +#14542 := [monotonicity #13957 #14539]: #14541 +#14545 := [monotonicity #13957 #14542]: #14544 +#14548 := [monotonicity #13957 #14545]: #14547 +#14417 := (iff #13516 #14416) +#14414 := (iff #12432 #14411) +#14408 := (and #14405 #12426) +#14412 := (iff #14408 #14411) +#14413 := [rewrite]: #14412 +#14409 := (iff #12432 #14408) +#14406 := (iff #3070 #14405) +#14407 := [rewrite]: #14406 +#14410 := [monotonicity #14407]: #14409 +#14415 := [trans #14410 #14413]: #14414 +#14418 := [monotonicity #14415]: #14417 +#14551 := [monotonicity #14418 #14548]: #14550 +#14451 := (iff #13525 #14450) +#14448 := (iff #12423 #14447) +#14445 := (iff #12418 #14442) +#14436 := (or #14420 #14433) +#14439 := (or #5739 #14436) +#14443 := (iff #14439 #14442) +#14444 := [rewrite]: #14443 +#14440 := (iff #12418 #14439) +#14437 := (iff #12412 #14436) +#14434 := (iff #3063 #14433) +#14435 := [rewrite]: #14434 +#14429 := (iff #12411 #14420) +#14419 := (not #14420) +#14424 := (not #14419) +#14427 := (iff #14424 #14420) +#14428 := [rewrite]: #14427 +#14425 := (iff #12411 #14424) +#14422 := (iff #3062 #14419) +#14423 := [rewrite]: #14422 +#14426 := [monotonicity #14423]: #14425 +#14430 := [trans #14426 #14428]: #14429 +#14438 := [monotonicity #14430 #14435]: #14437 +#14441 := [monotonicity #5741 #14438]: #14440 +#14446 := [trans #14441 #14444]: #14445 +#14449 := [quant-intro #14446]: #14448 +#14452 := [monotonicity #14449]: #14451 +#14554 := [monotonicity #14452 #14551]: #14553 +#14457 := (iff #13534 #14456) +#14454 := (iff #3061 #14453) +#14455 := [rewrite]: #14454 +#14458 := [monotonicity #14455]: #14457 +#14557 := [monotonicity #14458 #14554]: #14556 +#14560 := [monotonicity #13957 #14557]: #14559 +#14469 := (iff #13551 #14468) +#14466 := (iff #3058 #14465) +#14463 := (iff #3057 #14462) +#14464 := [rewrite]: #14463 +#14460 := (iff #3056 #14459) +#14461 := [rewrite]: #14460 +#14467 := [monotonicity #14461 #14464]: #14466 +#14470 := [monotonicity #14467]: #14469 +#14563 := [monotonicity #14470 #14560]: #14562 +#14484 := (iff #13560 #14483) +#14481 := (iff #3054 #14478) +#14475 := (and #14471 #13947) +#14479 := (iff #14475 #14478) +#14480 := [rewrite]: #14479 +#14476 := (iff #3054 #14475) +#14473 := (iff #3052 #14471) +#14474 := [rewrite]: #14473 +#14477 := [monotonicity #14474 #13948]: #14476 +#14482 := [trans #14477 #14480]: #14481 +#14485 := [monotonicity #14482]: #14484 +#14566 := [monotonicity #14485 #14563]: #14565 +#14497 := (iff #13569 #14496) +#14494 := (iff #3050 #14493) +#14491 := (iff #3049 #14490) +#14492 := [rewrite]: #14491 +#14488 := (iff #3048 #14486) +#14489 := [rewrite]: #14488 +#14495 := [monotonicity #14489 #14492]: #14494 +#14498 := [monotonicity #14495]: #14497 +#14569 := [monotonicity #14498 #14566]: #14568 +#14508 := (iff #13585 #14507) +#14505 := (iff #12406 #14502) +#14503 := (iff #14499 #14502) +#14504 := [rewrite]: #14503 +#14500 := (iff #12406 #14499) +#13944 := (iff #2951 #13943) +#13945 := [rewrite]: #13944 +#14501 := [monotonicity #13945]: #14500 +#14506 := [trans #14501 #14504]: #14505 +#14509 := [monotonicity #14506]: #14508 +#14572 := [monotonicity #14509 #14569]: #14571 +#14577 := [trans #14572 #14575]: #14576 +#14580 := [monotonicity #14501 #14577]: #14579 +#14585 := [trans #14580 #14583]: #14584 +#13940 := (iff #13602 #13939) +#13937 := (iff #12398 #13936) +#13934 := (iff #12393 #13931) +#13925 := (or #13910 #13921) +#13928 := (or #5739 #13925) +#13932 := (iff #13928 #13931) +#13933 := [rewrite]: #13932 +#13929 := (iff #12393 #13928) +#13926 := (iff #12387 #13925) +#13920 := (iff #3041 #13921) +#13924 := [rewrite]: #13920 +#13918 := (iff #12386 #13910) +#13909 := (not #13910) +#13913 := (not #13909) +#13916 := (iff #13913 #13910) +#13917 := [rewrite]: #13916 +#13914 := (iff #12386 #13913) +#13911 := (iff #3038 #13909) +#13912 := [rewrite]: #13911 +#13915 := [monotonicity #13912]: #13914 +#13919 := [trans #13915 #13917]: #13918 +#13927 := [monotonicity #13919 #13924]: #13926 +#13930 := [monotonicity #5741 #13927]: #13929 +#13935 := [trans #13930 #13933]: #13934 +#13938 := [quant-intro #13935]: #13937 +#13941 := [monotonicity #13938]: #13940 +#14588 := [monotonicity #13941 #14585]: #14587 +#14591 := [monotonicity #13938 #14588]: #14590 +#13907 := (iff #13619 #13906) +#13904 := (iff #3037 #13903) +#13905 := [rewrite]: #13904 +#13908 := [monotonicity #13905]: #13907 +#14594 := [monotonicity #13908 #14591]: #14593 +#14597 := [monotonicity #13905 #14594]: #14596 +#13901 := (iff #13636 false) +#13444 := (iff #3294 false) +#13445 := [rewrite]: #13444 +#13899 := (iff #13636 #3294) +#13897 := (iff #12383 true) +#13892 := (and true #12517) +#13895 := (iff #13892 true) +#13896 := [rewrite]: #13895 +#13893 := (iff #12383 #13892) +#13890 := (iff #12380 #12517) +#13888 := (iff #3033 true) +#13889 := [rewrite]: #13888 +#13886 := (iff #3032 true) +#13887 := [rewrite]: #13886 +#13891 := [monotonicity #13887 #13889]: #13890 +#13894 := [monotonicity #13887 #13891]: #13893 +#13898 := [trans #13894 #13896]: #13897 +#13900 := [monotonicity #13898]: #13899 +#13902 := [trans #13900 #13445]: #13901 +#14600 := [monotonicity #13902 #14597]: #14599 +#14603 := [monotonicity #14600]: #14602 +#14606 := [monotonicity #14603]: #14605 +#14609 := [monotonicity #14606]: #14608 +#14612 := [monotonicity #14609]: #14611 +#14615 := [monotonicity #14612]: #14614 +#14620 := [trans #14615 #14618]: #14619 +#14623 := [monotonicity #14620]: #14622 +#14628 := [trans #14623 #14626]: #14627 +#14631 := [monotonicity #14628]: #14630 +#14634 := [monotonicity #14631]: #14633 +#14639 := [trans #14634 #14637]: #14638 +#14642 := [monotonicity #14639]: #14641 +#14645 := [monotonicity #14642]: #14644 +#13884 := (iff #13732 #13883) +#13881 := (iff #3007 #13880) +#13878 := (iff #3006 #13877) +#13879 := [rewrite]: #13878 +#13875 := (iff #3005 #13872) +#13876 := [rewrite]: #13875 +#13882 := [monotonicity #13876 #13879]: #13881 +#13885 := [monotonicity #13882]: #13884 +#14726 := [monotonicity #13885 #14645]: #14725 +#14729 := [monotonicity #14726]: #14728 +#14732 := [monotonicity #14729]: #14731 +#14735 := [monotonicity #14732]: #14734 +#14738 := [monotonicity #14735]: #14737 +#14656 := (iff #13777 #14655) +#14653 := (iff #2989 #14652) +#14650 := (iff #2988 #14646) +#14651 := [rewrite]: #14650 +#14654 := [quant-intro #14651]: #14653 +#14657 := [monotonicity #14654]: #14656 +#14741 := [monotonicity #14657 #14738]: #14740 +#14744 := [monotonicity #14741]: #14743 +#14747 := [monotonicity #14744]: #14746 +#14662 := (iff #13811 #14661) +#14659 := (iff #12326 #14658) +#14660 := [rewrite]: #14659 +#14663 := [monotonicity #14660]: #14662 +#14750 := [monotonicity #14663 #14747]: #14749 +#14669 := (iff #13820 #13942) +#14664 := (not #13943) +#14667 := (iff #14664 #13942) +#14668 := [rewrite]: #14667 +#14665 := (iff #13820 #14664) +#14666 := [monotonicity #13945]: #14665 +#14670 := [trans #14666 #14668]: #14669 +#14753 := [monotonicity #14670 #14750]: #14752 +#14680 := (iff #13829 #14671) +#14672 := (not #14671) +#14675 := (not #14672) +#14678 := (iff #14675 #14671) +#14679 := [rewrite]: #14678 +#14676 := (iff #13829 #14675) +#14673 := (iff #2950 #14672) +#14674 := [rewrite]: #14673 +#14677 := [monotonicity #14674]: #14676 +#14681 := [trans #14677 #14679]: #14680 +#14756 := [monotonicity #14681 #14753]: #14755 +#14694 := (iff #13838 #14693) +#14691 := (iff #2948 #14690) +#14688 := (iff #2947 #14687) +#14689 := [rewrite]: #14688 +#14685 := (iff #2946 #14682) +#14686 := [rewrite]: #14685 +#14692 := [monotonicity #14686 #14689]: #14691 +#14695 := [monotonicity #14692]: #14694 +#14759 := [monotonicity #14695 #14756]: #14758 +#14708 := (iff #13847 #14707) +#14705 := (iff #2944 #14704) +#14702 := (iff #2943 #14701) +#14703 := [rewrite]: #14702 +#14699 := (iff #2942 #14696) +#14700 := [rewrite]: #14699 +#14706 := [monotonicity #14700 #14703]: #14705 +#14709 := [monotonicity #14706]: #14708 +#14762 := [monotonicity #14709 #14759]: #14761 +#14722 := (iff #13856 #14721) +#14719 := (iff #2940 #14718) +#14716 := (iff #2939 #14715) +#14717 := [rewrite]: #14716 +#14713 := (iff #2938 #14710) +#14714 := [rewrite]: #14713 +#14720 := [monotonicity #14714 #14717]: #14719 +#14723 := [monotonicity #14720]: #14722 +#14765 := [monotonicity #14723 #14762]: #14764 +#14770 := [trans #14765 #14768]: #14769 +#14773 := [monotonicity #14770]: #14772 +#13870 := (iff #3345 #13869) +#13867 := (iff #3344 #13857) +#13862 := (implies true #13857) +#13865 := (iff #13862 #13857) +#13866 := [rewrite]: #13865 +#13863 := (iff #3344 #13862) +#13860 := (iff #3343 #13857) +#13853 := (implies #2940 #13848) +#13858 := (iff #13853 #13857) +#13859 := [rewrite]: #13858 +#13854 := (iff #3343 #13853) +#13851 := (iff #3342 #13848) +#13844 := (implies #2944 #13839) +#13849 := (iff #13844 #13848) +#13850 := [rewrite]: #13849 +#13845 := (iff #3342 #13844) +#13842 := (iff #3341 #13839) +#13835 := (implies #2948 #13830) +#13840 := (iff #13835 #13839) +#13841 := [rewrite]: #13840 +#13836 := (iff #3341 #13835) +#13833 := (iff #3340 #13830) +#13826 := (implies #2950 #13821) +#13831 := (iff #13826 #13830) +#13832 := [rewrite]: #13831 +#13827 := (iff #3340 #13826) +#13824 := (iff #3339 #13821) +#13817 := (implies #2951 #13812) +#13822 := (iff #13817 #13821) +#13823 := [rewrite]: #13822 +#13818 := (iff #3339 #13817) +#13815 := (iff #3338 #13812) +#13808 := (implies #12326 #13796) +#13813 := (iff #13808 #13812) +#13814 := [rewrite]: #13813 +#13809 := (iff #3338 #13808) +#13806 := (iff #3337 #13796) +#13801 := (implies true #13796) +#13804 := (iff #13801 #13796) +#13805 := [rewrite]: #13804 +#13802 := (iff #3337 #13801) +#13799 := (iff #3336 #13796) +#13792 := (implies #12329 #13787) +#13797 := (iff #13792 #13796) +#13798 := [rewrite]: #13797 +#13793 := (iff #3336 #13792) +#13790 := (iff #3335 #13787) +#13783 := (implies #12338 #13778) +#13788 := (iff #13783 #13787) +#13789 := [rewrite]: #13788 +#13784 := (iff #3335 #13783) +#13781 := (iff #3334 #13778) +#13774 := (implies #2989 #13769) +#13779 := (iff #13774 #13778) +#13780 := [rewrite]: #13779 +#13775 := (iff #3334 #13774) +#13772 := (iff #3333 #13769) +#13765 := (implies #2994 #13760) +#13770 := (iff #13765 #13769) +#13771 := [rewrite]: #13770 +#13766 := (iff #3333 #13765) +#13763 := (iff #3332 #13760) +#13756 := (implies #2996 #13751) +#13761 := (iff #13756 #13760) +#13762 := [rewrite]: #13761 +#13757 := (iff #3332 #13756) +#13754 := (iff #3331 #13751) +#13747 := (implies #2999 #13742) +#13752 := (iff #13747 #13751) +#13753 := [rewrite]: #13752 +#13748 := (iff #3331 #13747) +#13745 := (iff #3330 #13742) +#13738 := (implies #12352 #13733) +#13743 := (iff #13738 #13742) +#13744 := [rewrite]: #13743 +#13739 := (iff #3330 #13738) +#13736 := (iff #3329 #13733) +#13729 := (implies #3007 #13724) +#13734 := (iff #13729 #13733) +#13735 := [rewrite]: #13734 +#13730 := (iff #3329 #13729) +#13727 := (iff #3328 #13724) +#13721 := (and #13716 #12355) +#13725 := (iff #13721 #13724) +#13726 := [rewrite]: #13725 +#13722 := (iff #3328 #13721) +#12356 := (iff #3010 #12355) +#12357 := [rewrite]: #12356 +#13719 := (iff #3327 #13716) +#13712 := (implies #12355 #13707) +#13717 := (iff #13712 #13716) +#13718 := [rewrite]: #13717 +#13713 := (iff #3327 #13712) +#13710 := (iff #3326 #13707) +#13704 := (and #13699 #12364) +#13708 := (iff #13704 #13707) +#13709 := [rewrite]: #13708 +#13705 := (iff #3326 #13704) +#12365 := (iff #3016 #12364) +#12362 := (iff #3015 #12361) +#12363 := [rewrite]: #12362 +#12359 := (iff #3013 #12358) +#12360 := [rewrite]: #12359 +#12366 := [monotonicity #12360 #12363]: #12365 +#13702 := (iff #3325 #13699) +#13695 := (implies #12364 #13690) +#13700 := (iff #13695 #13699) +#13701 := [rewrite]: #13700 +#13696 := (iff #3325 #13695) +#13693 := (iff #3324 #13690) +#13687 := (and #13682 #12373) +#13691 := (iff #13687 #13690) +#13692 := [rewrite]: #13691 +#13688 := (iff #3324 #13687) +#12376 := (iff #3019 #12373) +#12370 := (and #12367 #12361) +#12374 := (iff #12370 #12373) +#12375 := [rewrite]: #12374 +#12371 := (iff #3019 #12370) +#12368 := (iff #3018 #12367) +#12369 := [rewrite]: #12368 +#12372 := [monotonicity #12369 #12363]: #12371 +#12377 := [trans #12372 #12375]: #12376 +#13685 := (iff #3323 #13682) +#13678 := (implies #12373 #13673) +#13683 := (iff #13678 #13682) +#13684 := [rewrite]: #13683 +#13679 := (iff #3323 #13678) +#13676 := (iff #3322 #13673) +#13669 := (implies #3022 #13664) +#13674 := (iff #13669 #13673) +#13675 := [rewrite]: #13674 +#13670 := (iff #3322 #13669) +#13667 := (iff #3321 #13664) +#13660 := (implies #3025 #13655) +#13665 := (iff #13660 #13664) +#13666 := [rewrite]: #13665 +#13661 := (iff #3321 #13660) +#13658 := (iff #3320 #13655) +#13651 := (implies #3028 #13646) +#13656 := (iff #13651 #13655) +#13657 := [rewrite]: #13656 +#13652 := (iff #3320 #13651) +#13649 := (iff #3319 #13646) +#13642 := (implies #3031 #13637) +#13647 := (iff #13642 #13646) +#13648 := [rewrite]: #13647 +#13643 := (iff #3319 #13642) +#13640 := (iff #3318 #13637) +#13633 := (implies #12383 #13628) +#13638 := (iff #13633 #13637) +#13639 := [rewrite]: #13638 +#13634 := (iff #3318 #13633) +#13631 := (iff #3317 #13628) +#13625 := (and #13620 #3037) +#13629 := (iff #13625 #13628) +#13630 := [rewrite]: #13629 +#13626 := (iff #3317 #13625) +#13623 := (iff #3316 #13620) +#13616 := (implies #3037 #13611) +#13621 := (iff #13616 #13620) +#13622 := [rewrite]: #13621 +#13617 := (iff #3316 #13616) +#13614 := (iff #3315 #13611) +#13608 := (and #13603 #12398) +#13612 := (iff #13608 #13611) +#13613 := [rewrite]: #13612 +#13609 := (iff #3315 #13608) +#12399 := (iff #3044 #12398) +#12396 := (iff #3043 #12393) +#12390 := (implies #5718 #12387) +#12394 := (iff #12390 #12393) +#12395 := [rewrite]: #12394 +#12391 := (iff #3043 #12390) +#12388 := (iff #3042 #12387) +#12389 := [rewrite]: #12388 +#5719 := (iff #645 #5718) +#5720 := [rewrite]: #5719 +#12392 := [monotonicity #5720 #12389]: #12391 +#12397 := [trans #12392 #12395]: #12396 +#12400 := [quant-intro #12397]: #12399 +#13606 := (iff #3314 #13603) +#13599 := (implies #12398 #13594) +#13604 := (iff #13599 #13603) +#13605 := [rewrite]: #13604 +#13600 := (iff #3314 #13599) +#13597 := (iff #3313 #13594) +#13591 := (and #13586 #12406) +#13595 := (iff #13591 #13594) +#13596 := [rewrite]: #13595 +#13592 := (iff #3313 #13591) +#12409 := (iff #3046 #12406) +#12403 := (and #3022 #2951) +#12407 := (iff #12403 #12406) +#12408 := [rewrite]: #12407 +#12404 := (iff #3046 #12403) +#12401 := (iff #3045 #3022) +#12402 := [rewrite]: #12401 +#12405 := [monotonicity #12402]: #12404 +#12410 := [trans #12405 #12408]: #12409 +#13589 := (iff #3312 #13586) +#13582 := (implies #12406 #13570) +#13587 := (iff #13582 #13586) +#13588 := [rewrite]: #13587 +#13583 := (iff #3312 #13582) +#13580 := (iff #3311 #13570) +#13575 := (implies true #13570) +#13578 := (iff #13575 #13570) +#13579 := [rewrite]: #13578 +#13576 := (iff #3311 #13575) +#13573 := (iff #3310 #13570) +#13566 := (implies #3050 #13561) +#13571 := (iff #13566 #13570) +#13572 := [rewrite]: #13571 +#13567 := (iff #3310 #13566) +#13564 := (iff #3309 #13561) +#13557 := (implies #3054 #13552) +#13562 := (iff #13557 #13561) +#13563 := [rewrite]: #13562 +#13558 := (iff #3309 #13557) +#13555 := (iff #3308 #13552) +#13548 := (implies #3058 #13543) +#13553 := (iff #13548 #13552) +#13554 := [rewrite]: #13553 +#13549 := (iff #3308 #13548) +#13546 := (iff #3307 #13543) +#13540 := (implies #3060 #13535) +#13544 := (iff #13540 #13543) +#13545 := [rewrite]: #13544 +#13541 := (iff #3307 #13540) +#13538 := (iff #3306 #13535) +#13531 := (implies #3061 #13526) +#13536 := (iff #13531 #13535) +#13537 := [rewrite]: #13536 +#13532 := (iff #3306 #13531) +#13529 := (iff #3305 #13526) +#13522 := (implies #12423 #13517) +#13527 := (iff #13522 #13526) +#13528 := [rewrite]: #13527 +#13523 := (iff #3305 #13522) +#13520 := (iff #3304 #13517) +#13513 := (implies #12432 #13508) +#13518 := (iff #13513 #13517) +#13519 := [rewrite]: #13518 +#13514 := (iff #3304 #13513) +#13511 := (iff #3303 #13508) +#13505 := (implies #3060 #13432) +#13509 := (iff #13505 #13508) +#13510 := [rewrite]: #13509 +#13506 := (iff #3303 #13505) +#13503 := (iff #3302 #13432) +#13498 := (and #13432 true) +#13501 := (iff #13498 #13432) +#13502 := [rewrite]: #13501 +#13499 := (iff #3302 #13498) +#13496 := (iff #3301 true) +#13491 := (implies true true) +#13494 := (iff #13491 true) +#13495 := [rewrite]: #13494 +#13492 := (iff #3301 #13491) +#13489 := (iff #3300 true) +#13484 := (implies #3060 true) +#13487 := (iff #13484 true) +#13488 := [rewrite]: #13487 +#13485 := (iff #3300 #13484) +#13482 := (iff #3299 true) +#13449 := (or #13376 #12751) +#13457 := (or #12687 #13449) +#13472 := (or #12687 #13457) +#13477 := (implies false #13472) +#13480 := (iff #13477 true) +#13481 := [rewrite]: #13480 +#13478 := (iff #3299 #13477) +#13475 := (iff #3298 #13472) +#13469 := (implies #3060 #13457) +#13473 := (iff #13469 #13472) +#13474 := [rewrite]: #13473 +#13470 := (iff #3298 #13469) +#13467 := (iff #3297 #13457) +#13462 := (implies true #13457) +#13465 := (iff #13462 #13457) +#13466 := [rewrite]: #13465 +#13463 := (iff #3297 #13462) +#13460 := (iff #3296 #13457) +#13454 := (implies #3060 #13449) +#13458 := (iff #13454 #13457) +#13459 := [rewrite]: #13458 +#13455 := (iff #3296 #13454) +#13452 := (iff #3295 #13449) +#13446 := (implies #12556 #12751) +#13450 := (iff #13446 #13449) +#13451 := [rewrite]: #13450 +#13447 := (iff #3295 #13446) +#12754 := (iff #3167 #12751) +#12748 := (implies #3060 #12736) +#12752 := (iff #12748 #12751) +#12753 := [rewrite]: #12752 +#12749 := (iff #3167 #12748) +#12746 := (iff #3166 #12736) +#12741 := (implies true #12736) +#12744 := (iff #12741 #12736) +#12745 := [rewrite]: #12744 +#12742 := (iff #3166 #12741) +#12739 := (iff #3165 #12736) +#12733 := (implies #3060 #12728) +#12737 := (iff #12733 #12736) +#12738 := [rewrite]: #12737 +#12734 := (iff #3165 #12733) +#12731 := (iff #3164 #12728) +#12725 := (and #12720 up_216) +#12729 := (iff #12725 #12728) +#12730 := [rewrite]: #12729 +#12726 := (iff #3164 #12725) +#12723 := (iff #3163 #12720) +#12716 := (implies up_216 #12711) +#12721 := (iff #12716 #12720) +#12722 := [rewrite]: #12721 +#12717 := (iff #3163 #12716) +#12714 := (iff #3162 #12711) +#12708 := (implies #3060 #12696) +#12712 := (iff #12708 #12711) +#12713 := [rewrite]: #12712 +#12709 := (iff #3162 #12708) +#12706 := (iff #3161 #12696) +#12701 := (implies true #12696) +#12704 := (iff #12701 #12696) +#12705 := [rewrite]: #12704 +#12702 := (iff #3161 #12701) +#12699 := (iff #3160 #12696) +#12693 := (implies #3060 #12688) +#12697 := (iff #12693 #12696) +#12698 := [rewrite]: #12697 +#12694 := (iff #3160 #12693) +#12691 := (iff #3159 #12688) +#12684 := (implies #3060 #12672) +#12689 := (iff #12684 #12688) +#12690 := [rewrite]: #12689 +#12685 := (iff #3159 #12684) +#12682 := (iff #3158 #12672) +#12677 := (implies true #12672) +#12680 := (iff #12677 #12672) +#12681 := [rewrite]: #12680 +#12678 := (iff #3158 #12677) +#12675 := (iff #3157 #12672) +#12668 := (implies #12567 #12663) +#12673 := (iff #12668 #12672) +#12674 := [rewrite]: #12673 +#12669 := (iff #3157 #12668) +#12666 := (iff #3156 #12663) +#12659 := (implies #12570 #12654) +#12664 := (iff #12659 #12663) +#12665 := [rewrite]: #12664 +#12660 := (iff #3156 #12659) +#12657 := (iff #3155 #12654) +#12650 := (implies #12573 #12645) +#12655 := (iff #12650 #12654) +#12656 := [rewrite]: #12655 +#12651 := (iff #3155 #12650) +#12648 := (iff #3154 #12645) +#12641 := (implies #12576 #12629) +#12646 := (iff #12641 #12645) +#12647 := [rewrite]: #12646 +#12642 := (iff #3154 #12641) +#12639 := (iff #3153 #12629) +#12634 := (implies true #12629) +#12637 := (iff #12634 #12629) +#12638 := [rewrite]: #12637 +#12635 := (iff #3153 #12634) +#12632 := (iff #3152 #12629) +#12626 := (and #12621 #12591) +#12630 := (iff #12626 #12629) +#12631 := [rewrite]: #12630 +#12627 := (iff #3152 #12626) +#12592 := (iff #3144 #12591) +#12589 := (iff #3143 #12586) +#12583 := (implies #5718 #12580) +#12587 := (iff #12583 #12586) +#12588 := [rewrite]: #12587 +#12584 := (iff #3143 #12583) +#12581 := (iff #3142 #12580) +#12582 := [rewrite]: #12581 +#12585 := [monotonicity #5720 #12582]: #12584 +#12590 := [trans #12585 #12588]: #12589 +#12593 := [quant-intro #12590]: #12592 +#12624 := (iff #3151 #12621) +#12617 := (implies #12591 #12600) +#12622 := (iff #12617 #12621) +#12623 := [rewrite]: #12622 +#12618 := (iff #3151 #12617) +#12615 := (iff #3150 #12600) +#12610 := (and true #12600) +#12613 := (iff #12610 #12600) +#12614 := [rewrite]: #12613 +#12611 := (iff #3150 #12610) +#12601 := (iff #3148 #12600) +#12598 := (iff #3147 #12597) +#12595 := (iff #3146 #12594) +#12596 := [monotonicity #5720]: #12595 +#12599 := [monotonicity #12596]: #12598 +#12602 := [quant-intro #12599]: #12601 +#12608 := (iff #3149 true) +#12603 := (implies #12600 true) +#12606 := (iff #12603 true) +#12607 := [rewrite]: #12606 +#12604 := (iff #3149 #12603) +#12605 := [monotonicity #12602]: #12604 +#12609 := [trans #12605 #12607]: #12608 +#12612 := [monotonicity #12609 #12602]: #12611 +#12616 := [trans #12612 #12614]: #12615 +#12619 := [monotonicity #12593 #12616]: #12618 +#12625 := [trans #12619 #12623]: #12624 +#12628 := [monotonicity #12625 #12593]: #12627 +#12633 := [trans #12628 #12631]: #12632 +#12636 := [monotonicity #12633]: #12635 +#12640 := [trans #12636 #12638]: #12639 +#12577 := (iff #3139 #12576) +#12578 := [rewrite]: #12577 +#12643 := [monotonicity #12578 #12640]: #12642 +#12649 := [trans #12643 #12647]: #12648 +#12574 := (iff #3137 #12573) +#12575 := [rewrite]: #12574 +#12652 := [monotonicity #12575 #12649]: #12651 +#12658 := [trans #12652 #12656]: #12657 +#12571 := (iff #3135 #12570) +#12572 := [rewrite]: #12571 +#12661 := [monotonicity #12572 #12658]: #12660 +#12667 := [trans #12661 #12665]: #12666 +#12568 := (iff #3133 #12567) +#12569 := [rewrite]: #12568 +#12670 := [monotonicity #12569 #12667]: #12669 +#12676 := [trans #12670 #12674]: #12675 +#12679 := [monotonicity #12676]: #12678 +#12683 := [trans #12679 #12681]: #12682 +#12686 := [monotonicity #12683]: #12685 +#12692 := [trans #12686 #12690]: #12691 +#12695 := [monotonicity #12692]: #12694 +#12700 := [trans #12695 #12698]: #12699 +#12703 := [monotonicity #12700]: #12702 +#12707 := [trans #12703 #12705]: #12706 +#12710 := [monotonicity #12707]: #12709 +#12715 := [trans #12710 #12713]: #12714 +#12718 := [monotonicity #12715]: #12717 +#12724 := [trans #12718 #12722]: #12723 +#12727 := [monotonicity #12724]: #12726 +#12732 := [trans #12727 #12730]: #12731 +#12735 := [monotonicity #12732]: #12734 +#12740 := [trans #12735 #12738]: #12739 +#12743 := [monotonicity #12740]: #12742 +#12747 := [trans #12743 #12745]: #12746 +#12750 := [monotonicity #12747]: #12749 +#12755 := [trans #12750 #12753]: #12754 +#12557 := (iff #3120 #12556) +#12554 := (iff #3119 #12553) +#12555 := [rewrite]: #12554 +#12333 := (iff #2979 #12332) +#12334 := [rewrite]: #12333 +#12558 := [monotonicity #12334 #12555]: #12557 +#13448 := [monotonicity #12558 #12755]: #13447 +#13453 := [trans #13448 #13451]: #13452 +#13456 := [monotonicity #13453]: #13455 +#13461 := [trans #13456 #13459]: #13460 +#13464 := [monotonicity #13461]: #13463 +#13468 := [trans #13464 #13466]: #13467 +#13471 := [monotonicity #13468]: #13470 +#13476 := [trans #13471 #13474]: #13475 +#13479 := [monotonicity #13445 #13476]: #13478 +#13483 := [trans #13479 #13481]: #13482 +#13486 := [monotonicity #13483]: #13485 +#13490 := [trans #13486 #13488]: #13489 +#13493 := [monotonicity #13490]: #13492 +#13497 := [trans #13493 #13495]: #13496 +#13442 := (iff #3293 #13432) +#13437 := (implies true #13432) +#13440 := (iff #13437 #13432) +#13441 := [rewrite]: #13440 +#13438 := (iff #3293 #13437) +#13435 := (iff #3292 #13432) +#13429 := (implies #3060 #13417) +#13433 := (iff #13429 #13432) +#13434 := [rewrite]: #13433 +#13430 := (iff #3292 #13429) +#13427 := (iff #3291 #13417) +#13422 := (implies true #13417) +#13425 := (iff #13422 #13417) +#13426 := [rewrite]: #13425 +#13423 := (iff #3291 #13422) +#13420 := (iff #3290 #13417) +#13414 := (implies #3060 #13402) +#13418 := (iff #13414 #13417) +#13419 := [rewrite]: #13418 +#13415 := (iff #3290 #13414) +#13412 := (iff #3289 #13402) +#13407 := (implies true #13402) +#13410 := (iff #13407 #13402) +#13411 := [rewrite]: #13410 +#13408 := (iff #3289 #13407) +#13405 := (iff #3288 #13402) +#13399 := (implies #3060 #13394) +#13403 := (iff #13399 #13402) +#13404 := [rewrite]: #13403 +#13400 := (iff #3288 #13399) +#13397 := (iff #3287 #13394) +#13391 := (implies #12544 #13386) +#13395 := (iff #13391 #13394) +#13396 := [rewrite]: #13395 +#13392 := (iff #3287 #13391) +#13389 := (iff #3286 #13386) +#13382 := (implies #12544 #13377) +#13387 := (iff #13382 #13386) +#13388 := [rewrite]: #13387 +#13383 := (iff #3286 #13382) +#13380 := (iff #3285 #13377) +#13373 := (implies #12556 #13368) +#13378 := (iff #13373 #13377) +#13379 := [rewrite]: #13378 +#13374 := (iff #3285 #13373) +#13371 := (iff #3284 #13368) +#13364 := (implies #3121 #13359) +#13369 := (iff #13364 #13368) +#13370 := [rewrite]: #13369 +#13365 := (iff #3284 #13364) +#13362 := (iff #3283 #13359) +#13355 := (implies #3122 #13350) +#13360 := (iff #13355 #13359) +#13361 := [rewrite]: #13360 +#13356 := (iff #3283 #13355) +#13353 := (iff #3282 #13350) +#13346 := (implies #3123 #13341) +#13351 := (iff #13346 #13350) +#13352 := [rewrite]: #13351 +#13347 := (iff #3282 #13346) +#13344 := (iff #3281 #13341) +#13337 := (implies #3124 #13332) +#13342 := (iff #13337 #13341) +#13343 := [rewrite]: #13342 +#13338 := (iff #3281 #13337) +#13335 := (iff #3280 #13332) +#13328 := (implies #3127 #13316) +#13333 := (iff #13328 #13332) +#13334 := [rewrite]: #13333 +#13329 := (iff #3280 #13328) +#13326 := (iff #3279 #13316) +#13321 := (implies true #13316) +#13324 := (iff #13321 #13316) +#13325 := [rewrite]: #13324 +#13322 := (iff #3279 #13321) +#13319 := (iff #3278 #13316) +#13313 := (implies #3060 #13310) +#13317 := (iff #13313 #13316) +#13318 := [rewrite]: #13317 +#13314 := (iff #3278 #13313) +#13311 := (iff #3277 #13310) +#13308 := (iff #3276 #13298) +#13303 := (implies true #13298) +#13306 := (iff #13303 #13298) +#13307 := [rewrite]: #13306 +#13304 := (iff #3276 #13303) +#13301 := (iff #3275 #13298) +#13295 := (implies #3060 #13290) +#13299 := (iff #13295 #13298) +#13300 := [rewrite]: #13299 +#13296 := (iff #3275 #13295) +#13293 := (iff #3274 #13290) +#13286 := (implies #3174 #13281) +#13291 := (iff #13286 #13290) +#13292 := [rewrite]: #13291 +#13287 := (iff #3274 #13286) +#13284 := (iff #3273 #13281) +#13278 := (implies #3060 #13266) +#13282 := (iff #13278 #13281) +#13283 := [rewrite]: #13282 +#13279 := (iff #3273 #13278) +#13276 := (iff #3272 #13266) +#13271 := (implies true #13266) +#13274 := (iff #13271 #13266) +#13275 := [rewrite]: #13274 +#13272 := (iff #3272 #13271) +#13269 := (iff #3271 #13266) +#13263 := (implies #3060 #13258) +#13267 := (iff #13263 #13266) +#13268 := [rewrite]: #13267 +#13264 := (iff #3271 #13263) +#13261 := (iff #3270 #13258) +#13255 := (and #13250 #12809) +#13259 := (iff #13255 #13258) +#13260 := [rewrite]: #13259 +#13256 := (iff #3270 #13255) +#12810 := (iff #3180 #12809) +#12807 := (iff #3179 #12806) +#12808 := [rewrite]: #12807 +#12804 := (iff #3177 #12803) +#12805 := [rewrite]: #12804 +#12811 := [monotonicity #12805 #12808]: #12810 +#13253 := (iff #3269 #13250) +#13247 := (implies #12809 #13242) +#13251 := (iff #13247 #13250) +#13252 := [rewrite]: #13251 +#13248 := (iff #3269 #13247) +#13245 := (iff #3268 #13242) +#13239 := (and #13234 #12818) +#13243 := (iff #13239 #13242) +#13244 := [rewrite]: #13243 +#13240 := (iff #3268 #13239) +#12821 := (iff #3183 #12818) +#12815 := (and #12812 #12806) +#12819 := (iff #12815 #12818) +#12820 := [rewrite]: #12819 +#12816 := (iff #3183 #12815) +#12813 := (iff #3182 #12812) +#12814 := [rewrite]: #12813 +#12817 := [monotonicity #12814 #12808]: #12816 +#12822 := [trans #12817 #12820]: #12821 +#13237 := (iff #3267 #13234) +#13231 := (implies #12818 #13226) +#13235 := (iff #13231 #13234) +#13236 := [rewrite]: #13235 +#13232 := (iff #3267 #13231) +#13229 := (iff #3266 #13226) +#13223 := (implies #3060 #13220) +#13227 := (iff #13223 #13226) +#13228 := [rewrite]: #13227 +#13224 := (iff #3266 #13223) +#13221 := (iff #3265 #13220) +#13218 := (iff #3264 #13208) +#13213 := (implies true #13208) +#13216 := (iff #13213 #13208) +#13217 := [rewrite]: #13216 +#13214 := (iff #3264 #13213) +#13211 := (iff #3263 #13208) +#13205 := (implies #3060 #13200) +#13209 := (iff #13205 #13208) +#13210 := [rewrite]: #13209 +#13206 := (iff #3263 #13205) +#13203 := (iff #3262 #13200) +#13196 := (implies #3238 #13191) +#13201 := (iff #13196 #13200) +#13202 := [rewrite]: #13201 +#13197 := (iff #3262 #13196) +#13194 := (iff #3261 #13191) +#13188 := (implies #3060 #13176) +#13192 := (iff #13188 #13191) +#13193 := [rewrite]: #13192 +#13189 := (iff #3261 #13188) +#13186 := (iff #3260 #13176) +#13181 := (implies true #13176) +#13184 := (iff #13181 #13176) +#13185 := [rewrite]: #13184 +#13182 := (iff #3260 #13181) +#13179 := (iff #3259 #13176) +#13173 := (implies #3060 #13168) +#13177 := (iff #13173 #13176) +#13178 := [rewrite]: #13177 +#13174 := (iff #3259 #13173) +#13171 := (iff #3258 #13168) +#13165 := (and #13160 #12809) +#13169 := (iff #13165 #13168) +#13170 := [rewrite]: #13169 +#13166 := (iff #3258 #13165) +#13163 := (iff #3257 #13160) +#13156 := (implies #12809 #13151) +#13161 := (iff #13156 #13160) +#13162 := [rewrite]: #13161 +#13157 := (iff #3257 #13156) +#13154 := (iff #3256 #13151) +#13148 := (and #13143 #12818) +#13152 := (iff #13148 #13151) +#13153 := [rewrite]: #13152 +#13149 := (iff #3256 #13148) +#13146 := (iff #3255 #13143) +#13139 := (implies #12818 #13134) +#13144 := (iff #13139 #13143) +#13145 := [rewrite]: #13144 +#13140 := (iff #3255 #13139) +#13137 := (iff #3254 #13134) +#13130 := (implies #13070 #13125) +#13135 := (iff #13130 #13134) +#13136 := [rewrite]: #13135 +#13131 := (iff #3254 #13130) +#13128 := (iff #3253 #13125) +#13121 := (implies #3242 #13116) +#13126 := (iff #13121 #13125) +#13127 := [rewrite]: #13126 +#13122 := (iff #3253 #13121) +#13119 := (iff #3252 #13116) +#13112 := (implies #3244 #13107) +#13117 := (iff #13112 #13116) +#13118 := [rewrite]: #13117 +#13113 := (iff #3252 #13112) +#13110 := (iff #3251 #13107) +#13103 := (implies #3059 #13091) +#13108 := (iff #13103 #13107) +#13109 := [rewrite]: #13108 +#13104 := (iff #3251 #13103) +#13101 := (iff #3250 #13091) +#13096 := (implies true #13091) +#13099 := (iff #13096 #13091) +#13100 := [rewrite]: #13099 +#13097 := (iff #3250 #13096) +#13094 := (iff #3249 #13091) +#13087 := (implies #3246 #13082) +#13092 := (iff #13087 #13091) +#13093 := [rewrite]: #13092 +#13088 := (iff #3249 #13087) +#13085 := (iff #3248 #13082) +#13078 := (implies #13075 #12978) +#13083 := (iff #13078 #13082) +#13084 := [rewrite]: #13083 +#13079 := (iff #3248 #13078) +#12988 := (iff #3227 #12978) +#12983 := (implies true #12978) +#12986 := (iff #12983 #12978) +#12987 := [rewrite]: #12986 +#12984 := (iff #3227 #12983) +#12981 := (iff #3226 #12978) +#12974 := (implies #12829 #12969) +#12979 := (iff #12974 #12978) +#12980 := [rewrite]: #12979 +#12975 := (iff #3226 #12974) +#12972 := (iff #3225 #12969) +#12966 := (and #12961 #12841) +#12970 := (iff #12966 #12969) +#12971 := [rewrite]: #12970 +#12967 := (iff #3225 #12966) +#12842 := (iff #3195 #12841) +#12839 := (iff #3194 #12838) +#12833 := (= #3192 #12832) +#12834 := [rewrite]: #12833 +#12840 := [monotonicity #12834]: #12839 +#12836 := (iff #3193 #12835) +#12837 := [monotonicity #12834]: #12836 +#12843 := [monotonicity #12837 #12840]: #12842 +#12964 := (iff #3224 #12961) +#12957 := (implies #12841 #12952) +#12962 := (iff #12957 #12961) +#12963 := [rewrite]: #12962 +#12958 := (iff #3224 #12957) +#12955 := (iff #3223 #12952) +#12948 := (implies #12844 #12943) +#12953 := (iff #12948 #12952) +#12954 := [rewrite]: #12953 +#12949 := (iff #3223 #12948) +#12946 := (iff #3222 #12943) +#12939 := (implies #3199 #12934) +#12944 := (iff #12939 #12943) +#12945 := [rewrite]: #12944 +#12940 := (iff #3222 #12939) +#12937 := (iff #3221 #12934) +#12930 := (implies #3201 #12918) +#12935 := (iff #12930 #12934) +#12936 := [rewrite]: #12935 +#12931 := (iff #3221 #12930) +#12928 := (iff #3220 #12918) +#12923 := (implies true #12918) +#12926 := (iff #12923 #12918) +#12927 := [rewrite]: #12926 +#12924 := (iff #3220 #12923) +#12921 := (iff #3219 #12918) +#12915 := (and #12910 #3202) +#12919 := (iff #12915 #12918) +#12920 := [rewrite]: #12919 +#12916 := (iff #3219 #12915) +#12913 := (iff #3218 #12910) +#12906 := (implies #3202 #12901) +#12911 := (iff #12906 #12910) +#12912 := [rewrite]: #12911 +#12907 := (iff #3218 #12906) +#12904 := (iff #3217 #12901) +#12898 := (and #12893 #12859) +#12902 := (iff #12898 #12901) +#12903 := [rewrite]: #12902 +#12899 := (iff #3217 #12898) +#12860 := (iff #3207 #12859) +#12857 := (iff #3206 #12854) +#12851 := (implies #5718 #12848) +#12855 := (iff #12851 #12854) +#12856 := [rewrite]: #12855 +#12852 := (iff #3206 #12851) +#12849 := (iff #3205 #12848) +#12850 := [rewrite]: #12849 +#12853 := [monotonicity #5720 #12850]: #12852 +#12858 := [trans #12853 #12856]: #12857 +#12861 := [quant-intro #12858]: #12860 +#12896 := (iff #3216 #12893) +#12889 := (implies #12859 #12868) +#12894 := (iff #12889 #12893) +#12895 := [rewrite]: #12894 +#12890 := (iff #3216 #12889) +#12887 := (iff #3215 #12868) +#12882 := (and true #12868) +#12885 := (iff #12882 #12868) +#12886 := [rewrite]: #12885 +#12883 := (iff #3215 #12882) +#12871 := (iff #3212 #12868) +#12865 := (and #12862 #3211) +#12869 := (iff #12865 #12868) +#12870 := [rewrite]: #12869 +#12866 := (iff #3212 #12865) +#12863 := (iff #3210 #12862) +#12864 := [rewrite]: #12863 +#12867 := [monotonicity #12864]: #12866 +#12872 := [trans #12867 #12870]: #12871 +#12880 := (iff #3214 true) +#12875 := (implies #12868 true) +#12878 := (iff #12875 true) +#12879 := [rewrite]: #12878 +#12876 := (iff #3214 #12875) +#12873 := (iff #3213 true) +#12874 := [rewrite]: #12873 +#12877 := [monotonicity #12872 #12874]: #12876 +#12881 := [trans #12877 #12879]: #12880 +#12884 := [monotonicity #12881 #12872]: #12883 +#12888 := [trans #12884 #12886]: #12887 +#12891 := [monotonicity #12861 #12888]: #12890 +#12897 := [trans #12891 #12895]: #12896 +#12900 := [monotonicity #12897 #12861]: #12899 +#12905 := [trans #12900 #12903]: #12904 +#12908 := [monotonicity #12905]: #12907 +#12914 := [trans #12908 #12912]: #12913 +#12917 := [monotonicity #12914]: #12916 +#12922 := [trans #12917 #12920]: #12921 +#12925 := [monotonicity #12922]: #12924 +#12929 := [trans #12925 #12927]: #12928 +#12932 := [monotonicity #12929]: #12931 +#12938 := [trans #12932 #12936]: #12937 +#12941 := [monotonicity #12938]: #12940 +#12947 := [trans #12941 #12945]: #12946 +#12845 := (iff #3197 #12844) +#12846 := [monotonicity #12834]: #12845 +#12950 := [monotonicity #12846 #12947]: #12949 +#12956 := [trans #12950 #12954]: #12955 +#12959 := [monotonicity #12843 #12956]: #12958 +#12965 := [trans #12959 #12963]: #12964 +#12968 := [monotonicity #12965 #12843]: #12967 +#12973 := [trans #12968 #12971]: #12972 +#12830 := (iff #3191 #12829) +#12831 := [rewrite]: #12830 +#12976 := [monotonicity #12831 #12973]: #12975 +#12982 := [trans #12976 #12980]: #12981 +#12985 := [monotonicity #12982]: #12984 +#12989 := [trans #12985 #12987]: #12988 +#13076 := (iff #3247 #13075) +#13077 := [rewrite]: #13076 +#13080 := [monotonicity #13077 #12989]: #13079 +#13086 := [trans #13080 #13084]: #13085 +#13089 := [monotonicity #13086]: #13088 +#13095 := [trans #13089 #13093]: #13094 +#13098 := [monotonicity #13095]: #13097 +#13102 := [trans #13098 #13100]: #13101 +#13073 := (iff #3245 #3059) +#13074 := [rewrite]: #13073 +#13105 := [monotonicity #13074 #13102]: #13104 +#13111 := [trans #13105 #13109]: #13110 +#13114 := [monotonicity #13111]: #13113 +#13120 := [trans #13114 #13118]: #13119 +#13123 := [monotonicity #13120]: #13122 +#13129 := [trans #13123 #13127]: #13128 +#13071 := (iff #3240 #13070) +#13072 := [rewrite]: #13071 +#13132 := [monotonicity #13072 #13129]: #13131 +#13138 := [trans #13132 #13136]: #13137 +#13141 := [monotonicity #12822 #13138]: #13140 +#13147 := [trans #13141 #13145]: #13146 +#13150 := [monotonicity #13147 #12822]: #13149 +#13155 := [trans #13150 #13153]: #13154 +#13158 := [monotonicity #12811 #13155]: #13157 +#13164 := [trans #13158 #13162]: #13163 +#13167 := [monotonicity #13164 #12811]: #13166 +#13172 := [trans #13167 #13170]: #13171 +#13175 := [monotonicity #13172]: #13174 +#13180 := [trans #13175 #13178]: #13179 +#13183 := [monotonicity #13180]: #13182 +#13187 := [trans #13183 #13185]: #13186 +#13190 := [monotonicity #13187]: #13189 +#13195 := [trans #13190 #13193]: #13194 +#13198 := [monotonicity #13195]: #13197 +#13204 := [trans #13198 #13202]: #13203 +#13207 := [monotonicity #13204]: #13206 +#13212 := [trans #13207 #13210]: #13211 +#13215 := [monotonicity #13212]: #13214 +#13219 := [trans #13215 #13217]: #13218 +#13068 := (iff #3237 #13058) +#13063 := (implies true #13058) +#13066 := (iff #13063 #13058) +#13067 := [rewrite]: #13066 +#13064 := (iff #3237 #13063) +#13061 := (iff #3236 #13058) +#13055 := (implies #3060 #13050) +#13059 := (iff #13055 #13058) +#13060 := [rewrite]: #13059 +#13056 := (iff #3236 #13055) +#13053 := (iff #3235 #13050) +#13046 := (implies #3185 #13041) +#13051 := (iff #13046 #13050) +#13052 := [rewrite]: #13051 +#13047 := (iff #3235 #13046) +#13044 := (iff #3234 #13041) +#13038 := (implies #3060 #13026) +#13042 := (iff #13038 #13041) +#13043 := [rewrite]: #13042 +#13039 := (iff #3234 #13038) +#13036 := (iff #3233 #13026) +#13031 := (implies true #13026) +#13034 := (iff #13031 #13026) +#13035 := [rewrite]: #13034 +#13032 := (iff #3233 #13031) +#13029 := (iff #3232 #13026) +#13023 := (implies #3060 #13018) +#13027 := (iff #13023 #13026) +#13028 := [rewrite]: #13027 +#13024 := (iff #3232 #13023) +#13021 := (iff #3231 #13018) +#13015 := (implies #3060 #13003) +#13019 := (iff #13015 #13018) +#13020 := [rewrite]: #13019 +#13016 := (iff #3231 #13015) +#13013 := (iff #3230 #13003) +#13008 := (implies true #13003) +#13011 := (iff #13008 #13003) +#13012 := [rewrite]: #13011 +#13009 := (iff #3230 #13008) +#13006 := (iff #3229 #13003) +#12999 := (implies #12823 #12994) +#13004 := (iff #12999 #13003) +#13005 := [rewrite]: #13004 +#13000 := (iff #3229 #12999) +#12997 := (iff #3228 #12994) +#12990 := (implies #12826 #12978) +#12995 := (iff #12990 #12994) +#12996 := [rewrite]: #12995 +#12991 := (iff #3228 #12990) +#12827 := (iff #3189 #12826) +#12828 := [rewrite]: #12827 +#12992 := [monotonicity #12828 #12989]: #12991 +#12998 := [trans #12992 #12996]: #12997 +#12824 := (iff #3187 #12823) +#12825 := [rewrite]: #12824 +#13001 := [monotonicity #12825 #12998]: #13000 +#13007 := [trans #13001 #13005]: #13006 +#13010 := [monotonicity #13007]: #13009 +#13014 := [trans #13010 #13012]: #13013 +#13017 := [monotonicity #13014]: #13016 +#13022 := [trans #13017 #13020]: #13021 +#13025 := [monotonicity #13022]: #13024 +#13030 := [trans #13025 #13028]: #13029 +#13033 := [monotonicity #13030]: #13032 +#13037 := [trans #13033 #13035]: #13036 +#13040 := [monotonicity #13037]: #13039 +#13045 := [trans #13040 #13043]: #13044 +#13048 := [monotonicity #13045]: #13047 +#13054 := [trans #13048 #13052]: #13053 +#13057 := [monotonicity #13054]: #13056 +#13062 := [trans #13057 #13060]: #13061 +#13065 := [monotonicity #13062]: #13064 +#13069 := [trans #13065 #13067]: #13068 +#13222 := [monotonicity #13069 #13219]: #13221 +#13225 := [monotonicity #13222]: #13224 +#13230 := [trans #13225 #13228]: #13229 +#13233 := [monotonicity #12822 #13230]: #13232 +#13238 := [trans #13233 #13236]: #13237 +#13241 := [monotonicity #13238 #12822]: #13240 +#13246 := [trans #13241 #13244]: #13245 +#13249 := [monotonicity #12811 #13246]: #13248 +#13254 := [trans #13249 #13252]: #13253 +#13257 := [monotonicity #13254 #12811]: #13256 +#13262 := [trans #13257 #13260]: #13261 +#13265 := [monotonicity #13262]: #13264 +#13270 := [trans #13265 #13268]: #13269 +#13273 := [monotonicity #13270]: #13272 +#13277 := [trans #13273 #13275]: #13276 +#13280 := [monotonicity #13277]: #13279 +#13285 := [trans #13280 #13283]: #13284 +#13288 := [monotonicity #13285]: #13287 +#13294 := [trans #13288 #13292]: #13293 +#13297 := [monotonicity #13294]: #13296 +#13302 := [trans #13297 #13300]: #13301 +#13305 := [monotonicity #13302]: #13304 +#13309 := [trans #13305 #13307]: #13308 +#12801 := (iff #3173 #12791) +#12796 := (implies true #12791) +#12799 := (iff #12796 #12791) +#12800 := [rewrite]: #12799 +#12797 := (iff #3173 #12796) +#12794 := (iff #3172 #12791) +#12788 := (implies #3060 #12783) +#12792 := (iff #12788 #12791) +#12793 := [rewrite]: #12792 +#12789 := (iff #3172 #12788) +#12786 := (iff #3171 #12783) +#12779 := (implies #3131 #12774) +#12784 := (iff #12779 #12783) +#12785 := [rewrite]: #12784 +#12780 := (iff #3171 #12779) +#12777 := (iff #3170 #12774) +#12771 := (implies #3060 #12759) +#12775 := (iff #12771 #12774) +#12776 := [rewrite]: #12775 +#12772 := (iff #3170 #12771) +#12769 := (iff #3169 #12759) +#12764 := (implies true #12759) +#12767 := (iff #12764 #12759) +#12768 := [rewrite]: #12767 +#12765 := (iff #3169 #12764) +#12762 := (iff #3168 #12759) +#12756 := (implies #3060 #12751) +#12760 := (iff #12756 #12759) +#12761 := [rewrite]: #12760 +#12757 := (iff #3168 #12756) +#12758 := [monotonicity #12755]: #12757 +#12763 := [trans #12758 #12761]: #12762 +#12766 := [monotonicity #12763]: #12765 +#12770 := [trans #12766 #12768]: #12769 +#12773 := [monotonicity #12770]: #12772 +#12778 := [trans #12773 #12776]: #12777 +#12781 := [monotonicity #12778]: #12780 +#12787 := [trans #12781 #12785]: #12786 +#12790 := [monotonicity #12787]: #12789 +#12795 := [trans #12790 #12793]: #12794 +#12798 := [monotonicity #12795]: #12797 +#12802 := [trans #12798 #12800]: #12801 +#13312 := [monotonicity #12802 #13309]: #13311 +#13315 := [monotonicity #13312]: #13314 +#13320 := [trans #13315 #13318]: #13319 +#12565 := (iff #3130 true) +#12520 := (iff #12517 true) +#12521 := [rewrite]: #12520 +#12563 := (iff #3130 #12517) +#12561 := (iff #3129 true) +#12562 := [rewrite]: #12561 +#12559 := (iff #3128 true) +#12560 := [rewrite]: #12559 +#12564 := [monotonicity #12560 #12562]: #12563 +#12566 := [trans #12564 #12521]: #12565 +#13323 := [monotonicity #12566 #13320]: #13322 +#13327 := [trans #13323 #13325]: #13326 +#13330 := [monotonicity #13327]: #13329 +#13336 := [trans #13330 #13334]: #13335 +#13339 := [monotonicity #13336]: #13338 +#13345 := [trans #13339 #13343]: #13344 +#13348 := [monotonicity #13345]: #13347 +#13354 := [trans #13348 #13352]: #13353 +#13357 := [monotonicity #13354]: #13356 +#13363 := [trans #13357 #13361]: #13362 +#13366 := [monotonicity #13363]: #13365 +#13372 := [trans #13366 #13370]: #13371 +#13375 := [monotonicity #12558 #13372]: #13374 +#13381 := [trans #13375 #13379]: #13380 +#12551 := (iff #3116 #12544) +#12541 := (and #12437 #3115) +#12545 := (iff #12541 #12544) +#12546 := [rewrite]: #12545 +#12549 := (iff #3116 #12541) +#12438 := (iff #3073 #12437) +#12439 := [rewrite]: #12438 +#12550 := [monotonicity #12439]: #12549 +#12552 := [trans #12550 #12546]: #12551 +#13384 := [monotonicity #12552 #13381]: #13383 +#13390 := [trans #13384 #13388]: #13389 +#12547 := (iff #3114 #12544) +#12542 := (iff #3114 #12541) +#12539 := (iff #3113 #3115) +#12537 := (iff #3112 #3078) +#12532 := (and #3078 true) +#12535 := (iff #12532 #3078) +#12536 := [rewrite]: #12535 +#12533 := (iff #3112 #12532) +#12530 := (iff #3111 true) +#12528 := (iff #3111 #12517) +#12526 := (iff #3110 true) +#12524 := (iff #3110 #12517) +#12522 := (iff #3109 true) +#12518 := (iff #3109 #12517) +#12515 := (iff #3108 true) +#12476 := (forall (vars (?x777 T5)) (:pat #3090) true) +#12479 := (iff #12476 true) +#12480 := [elim-unused]: #12479 +#12513 := (iff #3108 #12476) +#12511 := (iff #3107 true) +#12500 := (= uf_261 #3104) +#12503 := (not #12500) +#12506 := (implies #12503 #12503) +#12509 := (iff #12506 true) +#12510 := [rewrite]: #12509 +#12507 := (iff #3107 #12506) +#12504 := (iff #3106 #12503) +#12501 := (iff #3105 #12500) +#12502 := [rewrite]: #12501 +#12505 := [monotonicity #12502]: #12504 +#12508 := [monotonicity #12505 #12505]: #12507 +#12512 := [trans #12508 #12510]: #12511 +#12514 := [quant-intro #12512]: #12513 +#12516 := [trans #12514 #12480]: #12515 +#12498 := (iff #3101 true) +#12493 := (forall (vars (?x778 T5)) (:pat #3097) true) +#12496 := (iff #12493 true) +#12497 := [elim-unused]: #12496 +#12494 := (iff #3101 #12493) +#12491 := (iff #3100 true) +#12440 := (= uf_9 #3082) +#12452 := (implies #12440 #12440) +#12455 := (iff #12452 true) +#12456 := [rewrite]: #12455 +#12489 := (iff #3100 #12452) +#12487 := (iff #3099 #12440) +#12445 := (and #12440 true) +#12448 := (iff #12445 #12440) +#12449 := [rewrite]: #12448 +#12485 := (iff #3099 #12445) +#12483 := (iff #3098 true) +#12484 := [rewrite]: #12483 +#12441 := (iff #3083 #12440) +#12442 := [rewrite]: #12441 +#12486 := [monotonicity #12442 #12484]: #12485 +#12488 := [trans #12486 #12449]: #12487 +#12490 := [monotonicity #12442 #12488]: #12489 +#12492 := [trans #12490 #12456]: #12491 +#12495 := [quant-intro #12492]: #12494 +#12499 := [trans #12495 #12497]: #12498 +#12519 := [monotonicity #12499 #12516]: #12518 +#12523 := [trans #12519 #12521]: #12522 +#12481 := (iff #3094 true) +#12477 := (iff #3094 #12476) +#12474 := (iff #3093 true) +#12472 := (iff #3093 #12452) +#12470 := (iff #3092 #12440) +#12468 := (iff #3092 #12445) +#12466 := (iff #3091 true) +#12467 := [rewrite]: #12466 +#12469 := [monotonicity #12442 #12467]: #12468 +#12471 := [trans #12469 #12449]: #12470 +#12473 := [monotonicity #12442 #12471]: #12472 +#12475 := [trans #12473 #12456]: #12474 +#12478 := [quant-intro #12475]: #12477 +#12482 := [trans #12478 #12480]: #12481 +#12525 := [monotonicity #12482 #12523]: #12524 +#12527 := [trans #12525 #12521]: #12526 +#12464 := (iff #3087 true) +#12459 := (forall (vars (?x776 T5)) (:pat #3081) true) +#12462 := (iff #12459 true) +#12463 := [elim-unused]: #12462 +#12460 := (iff #3087 #12459) +#12457 := (iff #3086 true) +#12453 := (iff #3086 #12452) +#12450 := (iff #3085 #12440) +#12446 := (iff #3085 #12445) +#12443 := (iff #3084 true) +#12444 := [rewrite]: #12443 +#12447 := [monotonicity #12442 #12444]: #12446 +#12451 := [trans #12447 #12449]: #12450 +#12454 := [monotonicity #12442 #12451]: #12453 +#12458 := [trans #12454 #12456]: #12457 +#12461 := [quant-intro #12458]: #12460 +#12465 := [trans #12461 #12463]: #12464 +#12529 := [monotonicity #12465 #12527]: #12528 +#12531 := [trans #12529 #12521]: #12530 +#12534 := [monotonicity #12531]: #12533 +#12538 := [trans #12534 #12536]: #12537 +#12540 := [monotonicity #12538]: #12539 +#12543 := [monotonicity #12439 #12540]: #12542 +#12548 := [trans #12543 #12546]: #12547 +#13393 := [monotonicity #12548 #13390]: #13392 +#13398 := [trans #13393 #13396]: #13397 +#13401 := [monotonicity #13398]: #13400 +#13406 := [trans #13401 #13404]: #13405 +#13409 := [monotonicity #13406]: #13408 +#13413 := [trans #13409 #13411]: #13412 +#13416 := [monotonicity #13413]: #13415 +#13421 := [trans #13416 #13419]: #13420 +#13424 := [monotonicity #13421]: #13423 +#13428 := [trans #13424 #13426]: #13427 +#13431 := [monotonicity #13428]: #13430 +#13436 := [trans #13431 #13434]: #13435 +#13439 := [monotonicity #13436]: #13438 +#13443 := [trans #13439 #13441]: #13442 +#13500 := [monotonicity #13443 #13497]: #13499 +#13504 := [trans #13500 #13502]: #13503 +#13507 := [monotonicity #13504]: #13506 +#13512 := [trans #13507 #13510]: #13511 +#12435 := (iff #3071 #12432) +#12429 := (and #12426 #3070) +#12433 := (iff #12429 #12432) +#12434 := [rewrite]: #12433 +#12430 := (iff #3071 #12429) +#12427 := (iff #3069 #12426) +#12428 := [rewrite]: #12427 +#12431 := [monotonicity #12428]: #12430 +#12436 := [trans #12431 #12434]: #12435 +#13515 := [monotonicity #12436 #13512]: #13514 +#13521 := [trans #13515 #13519]: #13520 +#12424 := (iff #3066 #12423) +#12421 := (iff #3065 #12418) +#12415 := (implies #5718 #12412) +#12419 := (iff #12415 #12418) +#12420 := [rewrite]: #12419 +#12416 := (iff #3065 #12415) +#12413 := (iff #3064 #12412) +#12414 := [rewrite]: #12413 +#12417 := [monotonicity #5720 #12414]: #12416 +#12422 := [trans #12417 #12420]: #12421 +#12425 := [quant-intro #12422]: #12424 +#13524 := [monotonicity #12425 #13521]: #13523 +#13530 := [trans #13524 #13528]: #13529 +#13533 := [monotonicity #13530]: #13532 +#13539 := [trans #13533 #13537]: #13538 +#13542 := [monotonicity #13539]: #13541 +#13547 := [trans #13542 #13545]: #13546 +#13550 := [monotonicity #13547]: #13549 +#13556 := [trans #13550 #13554]: #13555 +#13559 := [monotonicity #13556]: #13558 +#13565 := [trans #13559 #13563]: #13564 +#13568 := [monotonicity #13565]: #13567 +#13574 := [trans #13568 #13572]: #13573 +#13577 := [monotonicity #13574]: #13576 +#13581 := [trans #13577 #13579]: #13580 +#13584 := [monotonicity #12410 #13581]: #13583 +#13590 := [trans #13584 #13588]: #13589 +#13593 := [monotonicity #13590 #12410]: #13592 +#13598 := [trans #13593 #13596]: #13597 +#13601 := [monotonicity #12400 #13598]: #13600 +#13607 := [trans #13601 #13605]: #13606 +#13610 := [monotonicity #13607 #12400]: #13609 +#13615 := [trans #13610 #13613]: #13614 +#13618 := [monotonicity #13615]: #13617 +#13624 := [trans #13618 #13622]: #13623 +#13627 := [monotonicity #13624]: #13626 +#13632 := [trans #13627 #13630]: #13631 +#12384 := (iff #3036 #12383) +#12381 := (iff #3035 #12380) +#12378 := (iff #3034 #3033) +#12379 := [rewrite]: #12378 +#12382 := [monotonicity #12379]: #12381 +#12385 := [monotonicity #12382]: #12384 +#13635 := [monotonicity #12385 #13632]: #13634 +#13641 := [trans #13635 #13639]: #13640 +#13644 := [monotonicity #13641]: #13643 +#13650 := [trans #13644 #13648]: #13649 +#13653 := [monotonicity #13650]: #13652 +#13659 := [trans #13653 #13657]: #13658 +#13662 := [monotonicity #13659]: #13661 +#13668 := [trans #13662 #13666]: #13667 +#13671 := [monotonicity #13668]: #13670 +#13677 := [trans #13671 #13675]: #13676 +#13680 := [monotonicity #12377 #13677]: #13679 +#13686 := [trans #13680 #13684]: #13685 +#13689 := [monotonicity #13686 #12377]: #13688 +#13694 := [trans #13689 #13692]: #13693 +#13697 := [monotonicity #12366 #13694]: #13696 +#13703 := [trans #13697 #13701]: #13702 +#13706 := [monotonicity #13703 #12366]: #13705 +#13711 := [trans #13706 #13709]: #13710 +#13714 := [monotonicity #12357 #13711]: #13713 +#13720 := [trans #13714 #13718]: #13719 +#13723 := [monotonicity #13720 #12357]: #13722 +#13728 := [trans #13723 #13726]: #13727 +#13731 := [monotonicity #13728]: #13730 +#13737 := [trans #13731 #13735]: #13736 +#12353 := (iff #3004 #12352) +#12350 := (iff #3003 #12347) +#12344 := (iff #12341 false) +#12348 := (iff #12344 #12347) +#12349 := [rewrite]: #12348 +#12345 := (iff #3003 #12344) +#12342 := (iff #3002 #12341) +#12343 := [rewrite]: #12342 +#12346 := [monotonicity #12343]: #12345 +#12351 := [trans #12346 #12349]: #12350 +#12354 := [quant-intro #12351]: #12353 +#13740 := [monotonicity #12354 #13737]: #13739 +#13746 := [trans #13740 #13744]: #13745 +#13749 := [monotonicity #13746]: #13748 +#13755 := [trans #13749 #13753]: #13754 +#13758 := [monotonicity #13755]: #13757 +#13764 := [trans #13758 #13762]: #13763 +#13767 := [monotonicity #13764]: #13766 +#13773 := [trans #13767 #13771]: #13772 +#13776 := [monotonicity #13773]: #13775 +#13782 := [trans #13776 #13780]: #13781 +#12339 := (iff #2983 #12338) +#12336 := (iff #2982 #12335) +#12337 := [rewrite]: #12336 +#12340 := [monotonicity #12334 #12337]: #12339 +#13785 := [monotonicity #12340 #13782]: #13784 +#13791 := [trans #13785 #13789]: #13790 +#12330 := (iff #2977 #12329) +#12331 := [rewrite]: #12330 +#13794 := [monotonicity #12331 #13791]: #13793 +#13800 := [trans #13794 #13798]: #13799 +#13803 := [monotonicity #13800]: #13802 +#13807 := [trans #13803 #13805]: #13806 +#12327 := (iff #2975 #12326) +#12324 := (iff #2974 #12323) +#12321 := (iff #2973 #12320) +#12318 := (iff #2972 #12317) +#12315 := (iff #2971 #12314) +#12312 := (iff #2970 #12311) +#12313 := [rewrite]: #12312 +#12309 := (iff #2968 #12308) +#12310 := [rewrite]: #12309 +#12316 := [monotonicity #12310 #12313]: #12315 +#12306 := (iff #2966 #12305) +#12307 := [rewrite]: #12306 +#12319 := [monotonicity #12307 #12316]: #12318 +#12303 := (iff #2964 #12302) +#12304 := [rewrite]: #12303 +#12322 := [monotonicity #12304 #12319]: #12321 +#12300 := (iff #2957 #12299) +#12297 := (iff #2956 #12296) +#12298 := [rewrite]: #12297 +#12301 := [monotonicity #12298]: #12300 +#12325 := [monotonicity #12301 #12322]: #12324 +#12294 := (iff #2954 #12293) +#12295 := [rewrite]: #12294 +#12328 := [monotonicity #12295 #12325]: #12327 +#13810 := [monotonicity #12328 #13807]: #13809 +#13816 := [trans #13810 #13814]: #13815 +#13819 := [monotonicity #13816]: #13818 +#13825 := [trans #13819 #13823]: #13824 +#13828 := [monotonicity #13825]: #13827 +#13834 := [trans #13828 #13832]: #13833 +#13837 := [monotonicity #13834]: #13836 +#13843 := [trans #13837 #13841]: #13842 +#13846 := [monotonicity #13843]: #13845 +#13852 := [trans #13846 #13850]: #13851 +#13855 := [monotonicity #13852]: #13854 +#13861 := [trans #13855 #13859]: #13860 +#13864 := [monotonicity #13861]: #13863 +#13868 := [trans #13864 #13866]: #13867 +#13871 := [monotonicity #13868]: #13870 +#14775 := [trans #13871 #14773]: #14774 +#12292 := [asserted]: #3345 +#14776 := [mp #12292 #14775]: #14771 +#14794 := [not-or-elim #14776]: #14658 +#14798 := [and-elim #14794]: #12305 +#233 := (:var 0 T3) +#15 := (:var 1 T5) +#2661 := (uf_48 #15 #233) +#2662 := (pattern #2661) +#11594 := (= uf_9 #2661) +#11601 := (not #11594) +#1250 := (uf_116 #15) +#2664 := (uf_43 #233 #1250) +#2665 := (= #15 #2664) +#11602 := (or #2665 #11601) +#11607 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2662) #11602) +#18734 := (~ #11607 #11607) +#18732 := (~ #11602 #11602) +#18733 := [refl]: #18732 +#18735 := [nnf-pos #18733]: #18734 +#2663 := (= #2661 uf_9) +#2666 := (implies #2663 #2665) +#2667 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2662) #2666) +#11608 := (iff #2667 #11607) +#11605 := (iff #2666 #11602) +#11598 := (implies #11594 #2665) +#11603 := (iff #11598 #11602) +#11604 := [rewrite]: #11603 +#11599 := (iff #2666 #11598) +#11596 := (iff #2663 #11594) +#11597 := [rewrite]: #11596 +#11600 := [monotonicity #11597]: #11599 +#11606 := [trans #11600 #11604]: #11605 +#11609 := [quant-intro #11606]: #11608 +#11593 := [asserted]: #2667 +#11612 := [mp #11593 #11609]: #11607 +#18736 := [mp~ #11612 #18735]: #11607 +#25403 := (not #12305) +#25416 := (not #11607) +#25417 := (or #25416 #25403 #25411) +#25412 := (or #25411 #25403) +#25418 := (or #25416 #25412) +#25425 := (iff #25418 #25417) +#25413 := (or #25403 #25411) +#25420 := (or #25416 #25413) +#25423 := (iff #25420 #25417) +#25424 := [rewrite]: #25423 +#25421 := (iff #25418 #25420) +#25414 := (iff #25412 #25413) +#25415 := [rewrite]: #25414 +#25422 := [monotonicity #25415]: #25421 +#25426 := [trans #25422 #25424]: #25425 +#25419 := [quant-inst]: #25418 +#25427 := [mp #25419 #25426]: #25417 +#27939 := [unit-resolution #25427 #18736 #14798]: #25411 +#27941 := [symm #27939]: #27940 +#26337 := [monotonicity #27941]: #26336 +#26339 := [trans #26337 #28359]: #26338 +#26341 := [monotonicity #26339]: #26340 +#26306 := [monotonicity #26341]: #26342 +#26296 := [symm #26306]: #26293 +#26299 := [monotonicity #26296]: #26298 +#14796 := [and-elim #14794]: #12299 +#26307 := [mp #14796 #26299]: #26297 +decl uf_196 :: (-> T4 T5 T5 T2) +#25980 := (uf_196 uf_273 #25404 #25404) +#25981 := (= uf_9 #25980) +#26002 := (not #25981) +#25982 := (uf_200 uf_273 #25404 #25404 uf_284) +#25983 := (= uf_9 #25982) +#25985 := (iff #25981 #25983) +#2240 := (:var 0 T16) +#24 := (:var 2 T5) +#13 := (:var 3 T4) +#2251 := (uf_200 #13 #24 #15 #2240) +#2252 := (pattern #2251) +#2254 := (uf_196 #13 #24 #15) +#10555 := (= uf_9 #2254) +#10551 := (= uf_9 #2251) +#10558 := (iff #10551 #10555) +#10561 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2252) #10558) +#18376 := (~ #10561 #10561) +#18374 := (~ #10558 #10558) +#18375 := [refl]: #18374 +#18377 := [nnf-pos #18375]: #18376 +#2255 := (= #2254 uf_9) +#2253 := (= #2251 uf_9) +#2256 := (iff #2253 #2255) +#2257 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2252) #2256) +#10562 := (iff #2257 #10561) +#10559 := (iff #2256 #10558) +#10556 := (iff #2255 #10555) +#10557 := [rewrite]: #10556 +#10553 := (iff #2253 #10551) +#10554 := [rewrite]: #10553 +#10560 := [monotonicity #10554 #10557]: #10559 +#10563 := [quant-intro #10560]: #10562 +#10550 := [asserted]: #2257 +#10566 := [mp #10550 #10563]: #10561 +#18378 := [mp~ #10566 #18377]: #10561 +#25995 := (not #10561) +#25996 := (or #25995 #25985) +#25984 := (iff #25983 #25981) +#25997 := (or #25995 #25984) +#26025 := (iff #25997 #25996) +#26077 := (iff #25996 #25996) +#26078 := [rewrite]: #26077 +#25986 := (iff #25984 #25985) +#25987 := [rewrite]: #25986 +#26076 := [monotonicity #25987]: #26025 +#26079 := [trans #26076 #26078]: #26025 +#26023 := [quant-inst]: #25997 +#26015 := [mp #26023 #26079]: #25996 +#27937 := [unit-resolution #26015 #18378]: #25985 +#25999 := (not #25983) +#26332 := (iff #13715 #25999) +#26334 := (iff #12355 #25983) +#26301 := (iff #25983 #12355) +#27942 := (= #25982 #3009) +#27943 := [monotonicity #27941 #27941]: #27942 +#26333 := [monotonicity #27943]: #26301 +#26335 := [symm #26333]: #26334 +#26349 := [monotonicity #26335]: #26332 +#26300 := [hypothesis]: #13715 +#26350 := [mp #26300 #26349]: #25999 +#26022 := (not #25985) +#25991 := (or #26022 #26002 #25983) +#25989 := [def-axiom]: #25991 +#26348 := [unit-resolution #25989 #26350 #27937]: #26002 +#26086 := (uf_48 #25404 #25815) +#26087 := (= uf_9 #26086) +#26398 := (= #2965 #26086) +#26351 := (= #26086 #2965) +#26352 := [monotonicity #27941 #26339]: #26351 +#26399 := [symm #26352]: #26398 +#26400 := [trans #14798 #26399]: #26087 +#26089 := (uf_27 uf_273 #25404) +#26090 := (= uf_9 #26089) +#26324 := (= #2963 #26089) +#26323 := (= #26089 #2963) +#26325 := [monotonicity #27941]: #26323 +#26327 := [symm #26325]: #26324 +#14797 := [and-elim #14794]: #12302 +#26322 := [trans #14797 #26327]: #26090 +#26091 := (not #26090) +#26088 := (not #26087) +#26490 := (or #25981 #26088 #26091 #26095) +#25827 := (uf_25 uf_273 #25404) +#26084 := (= uf_26 #25827) +#26331 := (= #2967 #25827) +#26328 := (= #25827 #2967) +#26329 := [monotonicity #27941]: #26328 +#26401 := [symm #26329]: #26331 +#14799 := [and-elim #14794]: #12308 +#26403 := [trans #14799 #26401]: #26084 +#25853 := (uf_24 uf_273 #25404) +#25854 := (= uf_9 #25853) +#26391 := (= #2969 #25853) +#26388 := (= #25853 #2969) +#26402 := [monotonicity #27941]: #26388 +#26389 := [symm #26402]: #26391 +#14800 := [and-elim #14794]: #12311 +#26392 := [trans #14800 #26389]: #25854 +#25816 := (uf_22 #25815) +#25823 := (= uf_9 #25816) +#26413 := (= #2953 #25816) +#26393 := (= #25816 #2953) +#26394 := [monotonicity #26339]: #26393 +#26414 := [symm #26394]: #26413 +#14795 := [and-elim #14794]: #12293 +#26488 := [trans #14795 #26414]: #25823 +#14783 := [not-or-elim #14776]: #12338 +#14784 := [and-elim #14783]: #12332 +#47 := (:var 1 T4) +#2213 := (uf_196 #47 #26 #26) +#2214 := (pattern #2213) +#10431 := (= uf_9 #2213) +#227 := (uf_55 #47) +#3939 := (= uf_9 #227) +#19933 := (not #3939) +#150 := (uf_25 #47 #26) +#3656 := (= uf_26 #150) +#19808 := (not #3656) +#33 := (uf_15 #26) +#148 := (uf_48 #26 #33) +#3653 := (= uf_9 #148) +#19807 := (not #3653) +#146 := (uf_27 #47 #26) +#3650 := (= uf_9 #146) +#11522 := (not #3650) +#135 := (uf_24 #47 #26) +#3635 := (= uf_9 #135) +#11145 := (not #3635) +#69 := (uf_22 #33) +#3470 := (= uf_9 #69) +#11200 := (not #3470) +#34 := (uf_14 #33) +#36 := (= #34 uf_16) +#22334 := (or #36 #11200 #11145 #11522 #19807 #19808 #19933 #10431) +#22339 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #22334) +#52 := (not #36) +#10446 := (and #52 #3470 #3635 #3650 #3653 #3656 #3939) +#10449 := (not #10446) +#10455 := (or #10431 #10449) +#10460 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #10455) +#22340 := (iff #10460 #22339) +#22337 := (iff #10455 #22334) +#22320 := (or #36 #11200 #11145 #11522 #19807 #19808 #19933) +#22331 := (or #10431 #22320) +#22335 := (iff #22331 #22334) +#22336 := [rewrite]: #22335 +#22332 := (iff #10455 #22331) +#22329 := (iff #10449 #22320) +#22321 := (not #22320) +#22324 := (not #22321) +#22327 := (iff #22324 #22320) +#22328 := [rewrite]: #22327 +#22325 := (iff #10449 #22324) +#22322 := (iff #10446 #22321) +#22323 := [rewrite]: #22322 +#22326 := [monotonicity #22323]: #22325 +#22330 := [trans #22326 #22328]: #22329 +#22333 := [monotonicity #22330]: #22332 +#22338 := [trans #22333 #22336]: #22337 +#22341 := [quant-intro #22338]: #22340 +#18344 := (~ #10460 #10460) +#18342 := (~ #10455 #10455) +#18343 := [refl]: #18342 +#18345 := [nnf-pos #18343]: #18344 +#2220 := (= #2213 uf_9) +#229 := (= #227 uf_9) +#136 := (= #135 uf_9) +#230 := (and #136 #229) +#151 := (= #150 uf_26) +#2215 := (and #151 #230) +#149 := (= #148 uf_9) +#2216 := (and #149 #2215) +#147 := (= #146 uf_9) +#2217 := (and #147 #2216) +#2218 := (and #52 #2217) +#70 := (= #69 uf_9) +#2219 := (and #70 #2218) +#2221 := (implies #2219 #2220) +#2222 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #2221) +#10463 := (iff #2222 #10460) +#3943 := (and #3635 #3939) +#10415 := (and #3656 #3943) +#10419 := (and #3653 #10415) +#10422 := (and #3650 #10419) +#10425 := (and #52 #10422) +#10428 := (and #3470 #10425) +#10437 := (not #10428) +#10438 := (or #10437 #10431) +#10443 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2214) #10438) +#10461 := (iff #10443 #10460) +#10458 := (iff #10438 #10455) +#10452 := (or #10449 #10431) +#10456 := (iff #10452 #10455) +#10457 := [rewrite]: #10456 +#10453 := (iff #10438 #10452) +#10450 := (iff #10437 #10449) +#10447 := (iff #10428 #10446) +#10448 := [rewrite]: #10447 +#10451 := [monotonicity #10448]: #10450 +#10454 := [monotonicity #10451]: #10453 +#10459 := [trans #10454 #10457]: #10458 +#10462 := [quant-intro #10459]: #10461 +#10444 := (iff #2222 #10443) +#10441 := (iff #2221 #10438) +#10434 := (implies #10428 #10431) +#10439 := (iff #10434 #10438) +#10440 := [rewrite]: #10439 +#10435 := (iff #2221 #10434) +#10432 := (iff #2220 #10431) +#10433 := [rewrite]: #10432 +#10429 := (iff #2219 #10428) +#10426 := (iff #2218 #10425) +#10423 := (iff #2217 #10422) +#10420 := (iff #2216 #10419) +#10417 := (iff #2215 #10415) +#3944 := (iff #230 #3943) +#3941 := (iff #229 #3939) +#3942 := [rewrite]: #3941 +#3637 := (iff #136 #3635) +#3638 := [rewrite]: #3637 +#3945 := [monotonicity #3638 #3942]: #3944 +#3657 := (iff #151 #3656) +#3658 := [rewrite]: #3657 +#10418 := [monotonicity #3658 #3945]: #10417 +#3654 := (iff #149 #3653) +#3655 := [rewrite]: #3654 +#10421 := [monotonicity #3655 #10418]: #10420 +#3651 := (iff #147 #3650) +#3652 := [rewrite]: #3651 +#10424 := [monotonicity #3652 #10421]: #10423 +#10427 := [monotonicity #10424]: #10426 +#3471 := (iff #70 #3470) +#3472 := [rewrite]: #3471 +#10430 := [monotonicity #3472 #10427]: #10429 +#10436 := [monotonicity #10430 #10433]: #10435 +#10442 := [trans #10436 #10440]: #10441 +#10445 := [quant-intro #10442]: #10444 +#10464 := [trans #10445 #10462]: #10463 +#10414 := [asserted]: #2222 +#10465 := [mp #10414 #10464]: #10460 +#18346 := [mp~ #10465 #18345]: #10460 +#22342 := [mp #18346 #22341]: #22339 +#26085 := (not #26084) +#25880 := (not #25854) +#25824 := (not #25823) +#23209 := (not #12332) +#26081 := (not #22339) +#26110 := (or #26081 #23209 #25824 #25880 #25981 #26085 #26088 #26091 #26095) +#26093 := (= #26092 uf_16) +#26094 := (or #26093 #25824 #25880 #26091 #26088 #26085 #23209 #25981) +#26111 := (or #26081 #26094) +#26219 := (iff #26111 #26110) +#26101 := (or #23209 #25824 #25880 #25981 #26085 #26088 #26091 #26095) +#26107 := (or #26081 #26101) +#26215 := (iff #26107 #26110) +#26218 := [rewrite]: #26215 +#26113 := (iff #26111 #26107) +#26104 := (iff #26094 #26101) +#26098 := (or #26095 #25824 #25880 #26091 #26088 #26085 #23209 #25981) +#26102 := (iff #26098 #26101) +#26103 := [rewrite]: #26102 +#26099 := (iff #26094 #26098) +#26096 := (iff #26093 #26095) +#26097 := [rewrite]: #26096 +#26100 := [monotonicity #26097]: #26099 +#26105 := [trans #26100 #26103]: #26104 +#26150 := [monotonicity #26105]: #26113 +#26181 := [trans #26150 #26218]: #26219 +#26112 := [quant-inst]: #26111 +#26165 := [mp #26112 #26181]: #26110 +#26491 := [unit-resolution #26165 #22342 #14784 #26488 #26392 #26403]: #26490 +#26493 := [unit-resolution #26491 #26322 #26400 #26348 #26307]: false +#26494 := [lemma #26493]: #12355 +#23984 := (or #13715 #23981) +#22978 := (forall (vars (?x782 int)) #22967) +#22985 := (not #22978) +#22963 := (forall (vars (?x781 int)) #22958) +#22984 := (not #22963) +#22986 := (or #22984 #22985) +#22987 := (not #22986) +#23016 := (or #22987 #23013) +#23022 := (not #23016) +#23023 := (or #12671 #12662 #12653 #12644 #22873 #14243 #14049 #23022) +#23024 := (not #23023) +#22802 := (forall (vars (?x785 int)) #22797) +#22808 := (not #22802) +#22809 := (or #22784 #22808) +#22810 := (not #22809) +#22839 := (or #22810 #22836) +#22845 := (not #22839) +#22846 := (or #14105 #22845) +#22847 := (not #22846) +#22852 := (or #14105 #22847) +#22860 := (not #22852) +#22861 := (or #12942 #22858 #19034 #22859 #14172 #19037 #22860) +#22862 := (not #22861) +#22867 := (or #19034 #19037 #22862) +#22874 := (not #22867) +#22884 := (or #13124 #13115 #13090 #19011 #19017 #13133 #13081 #14243 #22858 #22874) +#22885 := (not #22884) +#22890 := (or #19011 #19017 #22885) +#22896 := (not #22890) +#22897 := (or #19008 #19011 #22896) +#22898 := (not #22897) +#22903 := (or #19008 #19011 #22898) +#22909 := (not #22903) +#22910 := (or #22873 #14243 #14207 #22909) +#22911 := (not #22910) +#22875 := (or #13002 #12993 #22873 #14243 #22858 #14211 #22874) +#22876 := (not #22875) +#22916 := (or #22876 #22911) +#22922 := (not #22916) +#22923 := (or #19011 #19017 #22873 #14243 #22922) +#22924 := (not #22923) +#22929 := (or #19011 #19017 #22924) +#22935 := (not #22929) +#22936 := (or #19008 #19011 #22935) +#22937 := (not #22936) +#22942 := (or #19008 #19011 #22937) +#22948 := (not #22942) +#22949 := (or #22873 #14243 #14046 #22948) +#22950 := (not #22949) +#23029 := (or #22950 #23024) +#23044 := (not #23029) +#22779 := (forall (vars (?x774 int)) #22774) +#23040 := (not #22779) +#23045 := (or #13672 #13367 #13358 #13349 #13340 #23035 #23036 #23037 #14399 #15709 #13942 #22873 #14243 #14404 #14456 #23038 #23039 #23041 #23042 #23043 #23040 #23044) +#23046 := (not #23045) +#23051 := (or #13672 #13942 #23046) +#23058 := (not #23051) +#22768 := (forall (vars (?x773 int)) #22763) +#23057 := (not #22768) +#23059 := (or #23057 #23058) +#23060 := (not #23059) +#23065 := (or #22757 #23060) +#23071 := (not #23065) +#23072 := (or #13906 #23071) +#23073 := (not #23072) +#23078 := (or #13906 #23073) +#23084 := (not #23078) +#23085 := (or #13672 #13663 #13654 #13645 #18900 #18906 #23084) +#23086 := (not #23085) +#23091 := (or #18900 #18906 #23086) +#23097 := (not #23091) +#23098 := (or #18897 #18900 #23097) +#23099 := (not #23098) +#23104 := (or #18897 #18900 #23099) +#23110 := (not #23104) +#23111 := (or #13715 #23110) +#23112 := (not #23111) +#23117 := (or #13715 #23112) +#23985 := (iff #23117 #23984) +#23982 := (iff #23112 #23981) +#23979 := (iff #23111 #23978) +#23976 := (iff #23110 #23975) +#23973 := (iff #23104 #23972) +#23970 := (iff #23099 #23969) +#23967 := (iff #23098 #23966) +#23964 := (iff #23097 #23963) +#23961 := (iff #23091 #23960) +#23958 := (iff #23086 #23957) +#23955 := (iff #23085 #23954) +#23952 := (iff #23084 #23951) +#23949 := (iff #23078 #23948) +#23946 := (iff #23073 #23945) +#23943 := (iff #23072 #23942) +#23940 := (iff #23071 #23939) +#23937 := (iff #23065 #23936) +#23934 := (iff #23060 #23933) +#23931 := (iff #23059 #23930) +#23928 := (iff #23058 #23927) +#23925 := (iff #23051 #23924) +#23922 := (iff #23046 #23921) +#23919 := (iff #23045 #23918) +#23916 := (iff #23044 #23915) +#23913 := (iff #23029 #23912) +#23910 := (iff #23024 #23909) +#23907 := (iff #23023 #23906) +#23904 := (iff #23022 #23903) +#23901 := (iff #23016 #23900) +#23898 := (iff #22987 #23897) +#23895 := (iff #22986 #23894) +#23892 := (iff #22985 #23891) +#23889 := (iff #22978 #23886) +#23887 := (iff #22967 #22967) +#23888 := [refl]: #23887 +#23890 := [quant-intro #23888]: #23889 +#23893 := [monotonicity #23890]: #23892 +#23884 := (iff #22984 #23883) +#23881 := (iff #22963 #23878) +#23879 := (iff #22958 #22958) +#23880 := [refl]: #23879 +#23882 := [quant-intro #23880]: #23881 +#23885 := [monotonicity #23882]: #23884 +#23896 := [monotonicity #23885 #23893]: #23895 +#23899 := [monotonicity #23896]: #23898 +#23902 := [monotonicity #23899]: #23901 +#23905 := [monotonicity #23902]: #23904 +#23908 := [monotonicity #23905]: #23907 +#23911 := [monotonicity #23908]: #23910 +#23876 := (iff #22950 #23875) +#23873 := (iff #22949 #23872) +#23870 := (iff #22948 #23869) +#23867 := (iff #22942 #23866) +#23864 := (iff #22937 #23863) +#23861 := (iff #22936 #23860) +#23858 := (iff #22935 #23857) +#23855 := (iff #22929 #23854) +#23852 := (iff #22924 #23851) +#23849 := (iff #22923 #23848) +#23846 := (iff #22922 #23845) +#23843 := (iff #22916 #23842) +#23840 := (iff #22911 #23839) +#23837 := (iff #22910 #23836) +#23834 := (iff #22909 #23833) +#23831 := (iff #22903 #23830) +#23828 := (iff #22898 #23827) +#23825 := (iff #22897 #23824) +#23822 := (iff #22896 #23821) +#23819 := (iff #22890 #23818) +#23816 := (iff #22885 #23815) +#23813 := (iff #22884 #23812) +#23804 := (iff #22874 #23803) +#23801 := (iff #22867 #23800) +#23798 := (iff #22862 #23797) +#23795 := (iff #22861 #23794) +#23792 := (iff #22860 #23791) +#23789 := (iff #22852 #23788) +#23786 := (iff #22847 #23785) +#23783 := (iff #22846 #23782) +#23780 := (iff #22845 #23779) +#23777 := (iff #22839 #23776) +#23774 := (iff #22810 #23773) +#23771 := (iff #22809 #23770) +#23768 := (iff #22808 #23767) +#23765 := (iff #22802 #23762) +#23763 := (iff #22797 #22797) +#23764 := [refl]: #23763 +#23766 := [quant-intro #23764]: #23765 +#23769 := [monotonicity #23766]: #23768 +#23772 := [monotonicity #23769]: #23771 +#23775 := [monotonicity #23772]: #23774 +#23778 := [monotonicity #23775]: #23777 +#23781 := [monotonicity #23778]: #23780 +#23784 := [monotonicity #23781]: #23783 +#23787 := [monotonicity #23784]: #23786 +#23790 := [monotonicity #23787]: #23789 +#23793 := [monotonicity #23790]: #23792 +#23796 := [monotonicity #23793]: #23795 +#23799 := [monotonicity #23796]: #23798 +#23802 := [monotonicity #23799]: #23801 +#23805 := [monotonicity #23802]: #23804 +#23814 := [monotonicity #23805]: #23813 +#23817 := [monotonicity #23814]: #23816 +#23820 := [monotonicity #23817]: #23819 +#23823 := [monotonicity #23820]: #23822 +#23826 := [monotonicity #23823]: #23825 +#23829 := [monotonicity #23826]: #23828 +#23832 := [monotonicity #23829]: #23831 +#23835 := [monotonicity #23832]: #23834 +#23838 := [monotonicity #23835]: #23837 +#23841 := [monotonicity #23838]: #23840 +#23810 := (iff #22876 #23809) +#23807 := (iff #22875 #23806) +#23808 := [monotonicity #23805]: #23807 +#23811 := [monotonicity #23808]: #23810 +#23844 := [monotonicity #23811 #23841]: #23843 +#23847 := [monotonicity #23844]: #23846 +#23850 := [monotonicity #23847]: #23849 +#23853 := [monotonicity #23850]: #23852 +#23856 := [monotonicity #23853]: #23855 +#23859 := [monotonicity #23856]: #23858 +#23862 := [monotonicity #23859]: #23861 +#23865 := [monotonicity #23862]: #23864 +#23868 := [monotonicity #23865]: #23867 +#23871 := [monotonicity #23868]: #23870 +#23874 := [monotonicity #23871]: #23873 +#23877 := [monotonicity #23874]: #23876 +#23914 := [monotonicity #23877 #23911]: #23913 +#23917 := [monotonicity #23914]: #23916 +#23760 := (iff #23040 #23759) +#23757 := (iff #22779 #23754) +#23755 := (iff #22774 #22774) +#23756 := [refl]: #23755 +#23758 := [quant-intro #23756]: #23757 +#23761 := [monotonicity #23758]: #23760 +#23920 := [monotonicity #23761 #23917]: #23919 +#23923 := [monotonicity #23920]: #23922 +#23926 := [monotonicity #23923]: #23925 +#23929 := [monotonicity #23926]: #23928 +#23752 := (iff #23057 #23751) +#23749 := (iff #22768 #23746) +#23747 := (iff #22763 #22763) +#23748 := [refl]: #23747 +#23750 := [quant-intro #23748]: #23749 +#23753 := [monotonicity #23750]: #23752 +#23932 := [monotonicity #23753 #23929]: #23931 +#23935 := [monotonicity #23932]: #23934 +#23938 := [monotonicity #23935]: #23937 +#23941 := [monotonicity #23938]: #23940 +#23944 := [monotonicity #23941]: #23943 +#23947 := [monotonicity #23944]: #23946 +#23950 := [monotonicity #23947]: #23949 +#23953 := [monotonicity #23950]: #23952 +#23956 := [monotonicity #23953]: #23955 +#23959 := [monotonicity #23956]: #23958 +#23962 := [monotonicity #23959]: #23961 +#23965 := [monotonicity #23962]: #23964 +#23968 := [monotonicity #23965]: #23967 +#23971 := [monotonicity #23968]: #23970 +#23974 := [monotonicity #23971]: #23973 +#23977 := [monotonicity #23974]: #23976 +#23980 := [monotonicity #23977]: #23979 +#23983 := [monotonicity #23980]: #23982 +#23986 := [monotonicity #23983]: #23985 +#19548 := (and #19191 #19192) +#19551 := (not #19548) +#19554 := (or #19530 #19543 #19551) +#19557 := (not #19554) +#16489 := (and #3145 #4084 #13958 #15606) +#19214 := (not #16489) +#19217 := (forall (vars (?x782 int)) #19214) +#14858 := (and #4084 #15606) +#14857 := (not #14858) +#16475 := (or #13959 #13972 #14857) +#16480 := (forall (vars (?x781 int)) #16475) +#19221 := (and #16480 #19217) +#19563 := (or #19221 #19557) +#19571 := (and #12567 #12570 #12573 #12576 #13947 #13950 #14046 #19563) +#19392 := (and #19055 #19056) +#19395 := (not #19392) +#19398 := (or #19374 #19387 #19395) +#19401 := (not #19398) +#16376 := (or #14109 #14122 #14857) +#16381 := (forall (vars (?x785 int)) #16376) +#19071 := (not #14151) +#19081 := (and #19071 #16381) +#19407 := (or #19081 #19401) +#19412 := (and #14100 #19407) +#19415 := (or #14105 #19412) +#19423 := (and #3199 #14076 #14088 #14092 #14168 #16368 #19415) +#19428 := (or #19034 #19037 #19423) +#19454 := (and #3242 #3244 #3246 #12806 #12812 #13070 #13075 #13950 #14076 #19428) +#19459 := (or #19011 #19017 #19454) +#19465 := (and #12803 #12806 #19459) +#19470 := (or #19008 #19011 #19465) +#19476 := (and #13947 #13950 #14211 #19470) +#19434 := (and #12823 #12826 #13947 #13950 #14076 #14207 #19428) +#19481 := (or #19434 #19476) +#19487 := (and #12806 #12812 #13947 #13950 #19481) +#19492 := (or #19011 #19017 #19487) +#19498 := (and #12803 #12806 #19492) +#19503 := (or #19008 #19011 #19498) +#19509 := (and #13947 #13950 #14049 #19503) +#19576 := (or #19509 #19571) +#16293 := (or #14420 #14433 #14857) +#16298 := (forall (vars (?x774 int)) #16293) +#19582 := (and #3022 #3121 #3122 #3123 #3124 #3125 #3126 #12426 #12437 #12553 #13943 #13947 #13950 #14405 #14453 #14462 #14490 #16298 #16310 #16332 #16349 #19576) +#19587 := (or #13672 #13942 #19582) +#16279 := (or #13910 #13921 #14857) +#16284 := (forall (vars (?x773 int)) #16279) +#19590 := (and #16284 #19587) +#19303 := (and #18930 #18931) +#19306 := (not #19303) +#19312 := (or #18938 #18939 #19306) +#19317 := (not #19312) +#19593 := (or #19317 #19590) +#19596 := (and #13903 #19593) +#19599 := (or #13906 #19596) +#19605 := (and #3022 #3025 #3028 #3031 #12361 #12367 #19599) +#19610 := (or #18900 #18906 #19605) +#19616 := (and #12358 #12361 #19610) +#19621 := (or #18897 #18900 #19616) +#19624 := (and #12355 #19621) +#19627 := (or #13715 #19624) +#23118 := (iff #19627 #23117) +#23115 := (iff #19624 #23112) +#23107 := (and #12355 #23104) +#23113 := (iff #23107 #23112) +#23114 := [rewrite]: #23113 +#23108 := (iff #19624 #23107) +#23105 := (iff #19621 #23104) +#23102 := (iff #19616 #23099) +#23094 := (and #12358 #12361 #23091) +#23100 := (iff #23094 #23099) +#23101 := [rewrite]: #23100 +#23095 := (iff #19616 #23094) +#23092 := (iff #19610 #23091) +#23089 := (iff #19605 #23086) +#23081 := (and #3022 #3025 #3028 #3031 #12361 #12367 #23078) +#23087 := (iff #23081 #23086) +#23088 := [rewrite]: #23087 +#23082 := (iff #19605 #23081) +#23079 := (iff #19599 #23078) +#23076 := (iff #19596 #23073) +#23068 := (and #13903 #23065) +#23074 := (iff #23068 #23073) +#23075 := [rewrite]: #23074 +#23069 := (iff #19596 #23068) +#23066 := (iff #19593 #23065) +#23063 := (iff #19590 #23060) +#23054 := (and #22768 #23051) +#23061 := (iff #23054 #23060) +#23062 := [rewrite]: #23061 +#23055 := (iff #19590 #23054) +#23052 := (iff #19587 #23051) +#23049 := (iff #19582 #23046) +#23032 := (and #3022 #3121 #3122 #3123 #3124 #3125 #3126 #12426 #12437 #12553 #13943 #13947 #13950 #14405 #14453 #14462 #14490 #22779 #16310 #16332 #16349 #23029) +#23047 := (iff #23032 #23046) +#23048 := [rewrite]: #23047 +#23033 := (iff #19582 #23032) +#23030 := (iff #19576 #23029) +#23027 := (iff #19571 #23024) +#23019 := (and #12567 #12570 #12573 #12576 #13947 #13950 #14046 #23016) +#23025 := (iff #23019 #23024) +#23026 := [rewrite]: #23025 +#23020 := (iff #19571 #23019) +#23017 := (iff #19563 #23016) +#23014 := (iff #19557 #23013) +#23011 := (iff #19554 #23008) +#22994 := (or #22992 #22993) +#23005 := (or #19530 #19543 #22994) +#23009 := (iff #23005 #23008) +#23010 := [rewrite]: #23009 +#23006 := (iff #19554 #23005) +#23003 := (iff #19551 #22994) +#22995 := (not #22994) +#22998 := (not #22995) +#23001 := (iff #22998 #22994) +#23002 := [rewrite]: #23001 +#22999 := (iff #19551 #22998) +#22996 := (iff #19548 #22995) +#22997 := [rewrite]: #22996 +#23000 := [monotonicity #22997]: #22999 +#23004 := [trans #23000 #23002]: #23003 +#23007 := [monotonicity #23004]: #23006 +#23012 := [trans #23007 #23010]: #23011 +#23015 := [monotonicity #23012]: #23014 +#22990 := (iff #19221 #22987) +#22981 := (and #22963 #22978) +#22988 := (iff #22981 #22987) +#22989 := [rewrite]: #22988 +#22982 := (iff #19221 #22981) +#22979 := (iff #19217 #22978) +#22976 := (iff #19214 #22967) +#22968 := (not #22967) +#22971 := (not #22968) +#22974 := (iff #22971 #22967) +#22975 := [rewrite]: #22974 +#22972 := (iff #19214 #22971) +#22969 := (iff #16489 #22968) +#22970 := [rewrite]: #22969 +#22973 := [monotonicity #22970]: #22972 +#22977 := [trans #22973 #22975]: #22976 +#22980 := [quant-intro #22977]: #22979 +#22964 := (iff #16480 #22963) +#22961 := (iff #16475 #22958) +#20695 := (or #5113 #20064) +#22955 := (or #13959 #13972 #20695) +#22959 := (iff #22955 #22958) +#22960 := [rewrite]: #22959 +#22956 := (iff #16475 #22955) +#20704 := (iff #14857 #20695) +#20696 := (not #20695) +#20699 := (not #20696) +#20702 := (iff #20699 #20695) +#20703 := [rewrite]: #20702 +#20700 := (iff #14857 #20699) +#20697 := (iff #14858 #20696) +#20698 := [rewrite]: #20697 +#20701 := [monotonicity #20698]: #20700 +#20705 := [trans #20701 #20703]: #20704 +#22957 := [monotonicity #20705]: #22956 +#22962 := [trans #22957 #22960]: #22961 +#22965 := [quant-intro #22962]: #22964 +#22983 := [monotonicity #22965 #22980]: #22982 +#22991 := [trans #22983 #22989]: #22990 +#23018 := [monotonicity #22991 #23015]: #23017 +#23021 := [monotonicity #23018]: #23020 +#23028 := [trans #23021 #23026]: #23027 +#22953 := (iff #19509 #22950) +#22945 := (and #13947 #13950 #14049 #22942) +#22951 := (iff #22945 #22950) +#22952 := [rewrite]: #22951 +#22946 := (iff #19509 #22945) +#22943 := (iff #19503 #22942) +#22940 := (iff #19498 #22937) +#22932 := (and #12803 #12806 #22929) +#22938 := (iff #22932 #22937) +#22939 := [rewrite]: #22938 +#22933 := (iff #19498 #22932) +#22930 := (iff #19492 #22929) +#22927 := (iff #19487 #22924) +#22919 := (and #12806 #12812 #13947 #13950 #22916) +#22925 := (iff #22919 #22924) +#22926 := [rewrite]: #22925 +#22920 := (iff #19487 #22919) +#22917 := (iff #19481 #22916) +#22914 := (iff #19476 #22911) +#22906 := (and #13947 #13950 #14211 #22903) +#22912 := (iff #22906 #22911) +#22913 := [rewrite]: #22912 +#22907 := (iff #19476 #22906) +#22904 := (iff #19470 #22903) +#22901 := (iff #19465 #22898) +#22893 := (and #12803 #12806 #22890) +#22899 := (iff #22893 #22898) +#22900 := [rewrite]: #22899 +#22894 := (iff #19465 #22893) +#22891 := (iff #19459 #22890) +#22888 := (iff #19454 #22885) +#22881 := (and #3242 #3244 #3246 #12806 #12812 #13070 #13075 #13950 #14076 #22867) +#22886 := (iff #22881 #22885) +#22887 := [rewrite]: #22886 +#22882 := (iff #19454 #22881) +#22868 := (iff #19428 #22867) +#22865 := (iff #19423 #22862) +#22855 := (and #3199 #14076 #14088 #14092 #14168 #16368 #22852) +#22863 := (iff #22855 #22862) +#22864 := [rewrite]: #22863 +#22856 := (iff #19423 #22855) +#22853 := (iff #19415 #22852) +#22850 := (iff #19412 #22847) +#22842 := (and #14100 #22839) +#22848 := (iff #22842 #22847) +#22849 := [rewrite]: #22848 +#22843 := (iff #19412 #22842) +#22840 := (iff #19407 #22839) +#22837 := (iff #19401 #22836) +#22834 := (iff #19398 #22831) +#22817 := (or #22815 #22816) +#22828 := (or #19374 #19387 #22817) +#22832 := (iff #22828 #22831) +#22833 := [rewrite]: #22832 +#22829 := (iff #19398 #22828) +#22826 := (iff #19395 #22817) +#22818 := (not #22817) +#22821 := (not #22818) +#22824 := (iff #22821 #22817) +#22825 := [rewrite]: #22824 +#22822 := (iff #19395 #22821) +#22819 := (iff #19392 #22818) +#22820 := [rewrite]: #22819 +#22823 := [monotonicity #22820]: #22822 +#22827 := [trans #22823 #22825]: #22826 +#22830 := [monotonicity #22827]: #22829 +#22835 := [trans #22830 #22833]: #22834 +#22838 := [monotonicity #22835]: #22837 +#22813 := (iff #19081 #22810) +#22805 := (and #22783 #22802) +#22811 := (iff #22805 #22810) +#22812 := [rewrite]: #22811 +#22806 := (iff #19081 #22805) +#22803 := (iff #16381 #22802) +#22800 := (iff #16376 #22797) +#22794 := (or #14109 #14122 #20695) +#22798 := (iff #22794 #22797) +#22799 := [rewrite]: #22798 +#22795 := (iff #16376 #22794) +#22796 := [monotonicity #20705]: #22795 +#22801 := [trans #22796 #22799]: #22800 +#22804 := [quant-intro #22801]: #22803 +#22792 := (iff #19071 #22783) +#22787 := (not #22784) +#22790 := (iff #22787 #22783) +#22791 := [rewrite]: #22790 +#22788 := (iff #19071 #22787) +#22785 := (iff #14151 #22784) +#22786 := [rewrite]: #22785 +#22789 := [monotonicity #22786]: #22788 +#22793 := [trans #22789 #22791]: #22792 +#22807 := [monotonicity #22793 #22804]: #22806 +#22814 := [trans #22807 #22812]: #22813 +#22841 := [monotonicity #22814 #22838]: #22840 +#22844 := [monotonicity #22841]: #22843 +#22851 := [trans #22844 #22849]: #22850 +#22854 := [monotonicity #22851]: #22853 +#22857 := [monotonicity #22854]: #22856 +#22866 := [trans #22857 #22864]: #22865 +#22869 := [monotonicity #22866]: #22868 +#22883 := [monotonicity #22869]: #22882 +#22889 := [trans #22883 #22887]: #22888 +#22892 := [monotonicity #22889]: #22891 +#22895 := [monotonicity #22892]: #22894 +#22902 := [trans #22895 #22900]: #22901 +#22905 := [monotonicity #22902]: #22904 +#22908 := [monotonicity #22905]: #22907 +#22915 := [trans #22908 #22913]: #22914 +#22879 := (iff #19434 #22876) +#22870 := (and #12823 #12826 #13947 #13950 #14076 #14207 #22867) +#22877 := (iff #22870 #22876) +#22878 := [rewrite]: #22877 +#22871 := (iff #19434 #22870) +#22872 := [monotonicity #22869]: #22871 +#22880 := [trans #22872 #22878]: #22879 +#22918 := [monotonicity #22880 #22915]: #22917 +#22921 := [monotonicity #22918]: #22920 +#22928 := [trans #22921 #22926]: #22927 +#22931 := [monotonicity #22928]: #22930 +#22934 := [monotonicity #22931]: #22933 +#22941 := [trans #22934 #22939]: #22940 +#22944 := [monotonicity #22941]: #22943 +#22947 := [monotonicity #22944]: #22946 +#22954 := [trans #22947 #22952]: #22953 +#23031 := [monotonicity #22954 #23028]: #23030 +#22780 := (iff #16298 #22779) +#22777 := (iff #16293 #22774) +#22771 := (or #14420 #14433 #20695) +#22775 := (iff #22771 #22774) +#22776 := [rewrite]: #22775 +#22772 := (iff #16293 #22771) +#22773 := [monotonicity #20705]: #22772 +#22778 := [trans #22773 #22776]: #22777 +#22781 := [quant-intro #22778]: #22780 +#23034 := [monotonicity #22781 #23031]: #23033 +#23050 := [trans #23034 #23048]: #23049 +#23053 := [monotonicity #23050]: #23052 +#22769 := (iff #16284 #22768) +#22766 := (iff #16279 #22763) +#22760 := (or #13910 #13921 #20695) +#22764 := (iff #22760 #22763) +#22765 := [rewrite]: #22764 +#22761 := (iff #16279 #22760) +#22762 := [monotonicity #20705]: #22761 +#22767 := [trans #22762 #22765]: #22766 +#22770 := [quant-intro #22767]: #22769 +#23056 := [monotonicity #22770 #23053]: #23055 +#23064 := [trans #23056 #23062]: #23063 +#22758 := (iff #19317 #22757) +#22755 := (iff #19312 #22752) +#22738 := (or #22736 #22737) +#22749 := (or #18938 #18939 #22738) +#22753 := (iff #22749 #22752) +#22754 := [rewrite]: #22753 +#22750 := (iff #19312 #22749) +#22747 := (iff #19306 #22738) +#22739 := (not #22738) +#22742 := (not #22739) +#22745 := (iff #22742 #22738) +#22746 := [rewrite]: #22745 +#22743 := (iff #19306 #22742) +#22740 := (iff #19303 #22739) +#22741 := [rewrite]: #22740 +#22744 := [monotonicity #22741]: #22743 +#22748 := [trans #22744 #22746]: #22747 +#22751 := [monotonicity #22748]: #22750 +#22756 := [trans #22751 #22754]: #22755 +#22759 := [monotonicity #22756]: #22758 +#23067 := [monotonicity #22759 #23064]: #23066 +#23070 := [monotonicity #23067]: #23069 +#23077 := [trans #23070 #23075]: #23076 +#23080 := [monotonicity #23077]: #23079 +#23083 := [monotonicity #23080]: #23082 +#23090 := [trans #23083 #23088]: #23089 +#23093 := [monotonicity #23090]: #23092 +#23096 := [monotonicity #23093]: #23095 +#23103 := [trans #23096 #23101]: #23102 +#23106 := [monotonicity #23103]: #23105 +#23109 := [monotonicity #23106]: #23108 +#23116 := [trans #23109 #23114]: #23115 +#23119 := [monotonicity #23116]: #23118 +#19193 := (and #19192 #19191) +#19194 := (not #19193) +#19197 := (+ #19196 #13970) +#19198 := (<= #19197 0::int) +#19199 := (+ ?x781!15 #13873) +#19200 := (>= #19199 0::int) +#19201 := (or #19200 #19198 #19194) +#19202 := (not #19201) +#19225 := (or #19202 #19221) +#18978 := (not #13955) +#19185 := (not #12644) +#19182 := (not #12653) +#19179 := (not #12662) +#19176 := (not #12671) +#19229 := (and #19176 #19179 #19182 #19185 #18978 #14352 #19225) +#16407 := (and #14088 #16368) +#16412 := (not #16407) +#19097 := (not #16412) +#19057 := (and #19056 #19055) +#19058 := (not #19057) +#19061 := (+ #19060 #14120) +#19062 := (<= #19061 0::int) +#19063 := (+ ?x785!14 #14101) +#19064 := (>= #19063 0::int) +#19065 := (or #19064 #19062 #19058) +#19066 := (not #19065) +#19085 := (or #19066 #19081) +#19051 := (not #14105) +#19089 := (and #19051 #19085) +#19093 := (or #14105 #19089) +#19046 := (not #14172) +#19043 := (not #14097) +#19040 := (not #12942) +#19100 := (and #19040 #19043 #19046 #19093 #19097) +#19104 := (or #19034 #19037 #19100) +#19029 := (not #14081) +#19129 := (not #14243) +#19126 := (not #13081) +#19123 := (not #13133) +#19020 := (not #13142) +#19120 := (not #13090) +#19117 := (not #13115) +#19114 := (not #13124) +#19132 := (and #19114 #19117 #19120 #19020 #19123 #19126 #19129 #19029 #19104) +#19136 := (or #19011 #19017 #19132) +#19014 := (not #13159) +#19140 := (and #19014 #19136) +#19144 := (or #19008 #19011 #19140) +#19148 := (and #18978 #14211 #19144) +#19026 := (not #12993) +#19023 := (not #13002) +#19108 := (and #19023 #19026 #18978 #19029 #14293 #19104) +#19152 := (or #19108 #19148) +#19156 := (and #19020 #18978 #19152) +#19160 := (or #19011 #19017 #19156) +#19164 := (and #19014 #19160) +#19168 := (or #19008 #19011 #19164) +#19172 := (and #18978 #14049 #19168) +#19233 := (or #19172 #19229) +#16357 := (and #14490 #16349) +#16362 := (not #16357) +#19003 := (not #16362) +#16337 := (and #13947 #16332) +#16340 := (not #16337) +#19000 := (not #16340) +#16318 := (and #14462 #16310) +#16323 := (not #16318) +#18997 := (not #16323) +#18987 := (not #14507) +#18984 := (not #14456) +#18981 := (not #14416) +#18975 := (not #15709) +#18972 := (not #14399) +#18969 := (not #13331) +#18966 := (not #13340) +#18963 := (not #13349) +#18960 := (not #13358) +#18957 := (not #13367) +#19237 := (and #18957 #18960 #18963 #18966 #18969 #18972 #18975 #18978 #18981 #18984 #18987 #16298 #18997 #19000 #19003 #19233) +#19241 := (or #13672 #14664 #19237) +#19245 := (and #16284 #19241) +#18932 := (and #18931 #18930) +#18933 := (not #18932) +#18940 := (or #18939 #18938 #18933) +#18941 := (not #18940) +#19249 := (or #18941 #19245) +#18926 := (not #13906) +#19253 := (and #18926 #19249) +#19257 := (or #13906 #19253) +#18921 := (not #13681) +#18918 := (not #13645) +#18915 := (not #13654) +#18912 := (not #13663) +#18909 := (not #13672) +#19261 := (and #18909 #18912 #18915 #18918 #18921 #19257) +#19265 := (or #18900 #18906 #19261) +#18903 := (not #13698) +#19269 := (and #18903 #19265) +#19273 := (or #18897 #18900 #19269) +#18894 := (not #13715) +#19277 := (and #18894 #19273) +#19281 := (or #13715 #19277) +#19628 := (iff #19281 #19627) +#19625 := (iff #19277 #19624) +#19622 := (iff #19273 #19621) +#19619 := (iff #19269 #19616) +#19613 := (and #12364 #19610) +#19617 := (iff #19613 #19616) +#19618 := [rewrite]: #19617 +#19614 := (iff #19269 #19613) +#19611 := (iff #19265 #19610) +#19608 := (iff #19261 #19605) +#19602 := (and #3022 #3025 #3028 #3031 #12373 #19599) +#19606 := (iff #19602 #19605) +#19607 := [rewrite]: #19606 +#19603 := (iff #19261 #19602) +#19600 := (iff #19257 #19599) +#19597 := (iff #19253 #19596) +#19594 := (iff #19249 #19593) +#19591 := (iff #19245 #19590) +#19588 := (iff #19241 #19587) +#19585 := (iff #19237 #19582) +#19579 := (and #3121 #3122 #3123 #3124 #3127 #12437 #12553 #13952 #14411 #14453 #14502 #16298 #16318 #16337 #16357 #19576) +#19583 := (iff #19579 #19582) +#19584 := [rewrite]: #19583 +#19580 := (iff #19237 #19579) +#19577 := (iff #19233 #19576) +#19574 := (iff #19229 #19571) +#19568 := (and #12567 #12570 #12573 #12576 #13952 #14046 #19563) +#19572 := (iff #19568 #19571) +#19573 := [rewrite]: #19572 +#19569 := (iff #19229 #19568) +#19566 := (iff #19225 #19563) +#19560 := (or #19557 #19221) +#19564 := (iff #19560 #19563) +#19565 := [rewrite]: #19564 +#19561 := (iff #19225 #19560) +#19558 := (iff #19202 #19557) +#19555 := (iff #19201 #19554) +#19552 := (iff #19194 #19551) +#19549 := (iff #19193 #19548) +#19550 := [rewrite]: #19549 +#19553 := [monotonicity #19550]: #19552 +#19546 := (iff #19198 #19543) +#19535 := (+ #13970 #19196) +#19538 := (<= #19535 0::int) +#19544 := (iff #19538 #19543) +#19545 := [rewrite]: #19544 +#19539 := (iff #19198 #19538) +#19536 := (= #19197 #19535) +#19537 := [rewrite]: #19536 +#19540 := [monotonicity #19537]: #19539 +#19547 := [trans #19540 #19545]: #19546 +#19533 := (iff #19200 #19530) +#19522 := (+ #13873 ?x781!15) +#19525 := (>= #19522 0::int) +#19531 := (iff #19525 #19530) +#19532 := [rewrite]: #19531 +#19526 := (iff #19200 #19525) +#19523 := (= #19199 #19522) +#19524 := [rewrite]: #19523 +#19527 := [monotonicity #19524]: #19526 +#19534 := [trans #19527 #19532]: #19533 +#19556 := [monotonicity #19534 #19547 #19553]: #19555 +#19559 := [monotonicity #19556]: #19558 +#19562 := [monotonicity #19559]: #19561 +#19567 := [trans #19562 #19565]: #19566 +#19334 := (iff #18978 #13952) +#19335 := [rewrite]: #19334 +#19520 := (iff #19185 #12576) +#19521 := [rewrite]: #19520 +#19518 := (iff #19182 #12573) +#19519 := [rewrite]: #19518 +#19516 := (iff #19179 #12570) +#19517 := [rewrite]: #19516 +#19514 := (iff #19176 #12567) +#19515 := [rewrite]: #19514 +#19570 := [monotonicity #19515 #19517 #19519 #19521 #19335 #14356 #19567]: #19569 +#19575 := [trans #19570 #19573]: #19574 +#19512 := (iff #19172 #19509) +#19506 := (and #13952 #14049 #19503) +#19510 := (iff #19506 #19509) +#19511 := [rewrite]: #19510 +#19507 := (iff #19172 #19506) +#19504 := (iff #19168 #19503) +#19501 := (iff #19164 #19498) +#19495 := (and #12809 #19492) +#19499 := (iff #19495 #19498) +#19500 := [rewrite]: #19499 +#19496 := (iff #19164 #19495) +#19493 := (iff #19160 #19492) +#19490 := (iff #19156 #19487) +#19484 := (and #12818 #13952 #19481) +#19488 := (iff #19484 #19487) +#19489 := [rewrite]: #19488 +#19485 := (iff #19156 #19484) +#19482 := (iff #19152 #19481) +#19479 := (iff #19148 #19476) +#19473 := (and #13952 #14211 #19470) +#19477 := (iff #19473 #19476) +#19478 := [rewrite]: #19477 +#19474 := (iff #19148 #19473) +#19471 := (iff #19144 #19470) +#19468 := (iff #19140 #19465) +#19462 := (and #12809 #19459) +#19466 := (iff #19462 #19465) +#19467 := [rewrite]: #19466 +#19463 := (iff #19140 #19462) +#19460 := (iff #19136 #19459) +#19457 := (iff #19132 #19454) +#19451 := (and #3242 #3244 #3246 #12818 #13070 #13075 #13950 #14078 #19428) +#19455 := (iff #19451 #19454) +#19456 := [rewrite]: #19455 +#19452 := (iff #19132 #19451) +#19429 := (iff #19104 #19428) +#19426 := (iff #19100 #19423) +#19420 := (and #3199 #14094 #14168 #19415 #16407) +#19424 := (iff #19420 #19423) +#19425 := [rewrite]: #19424 +#19421 := (iff #19100 #19420) +#19418 := (iff #19097 #16407) +#19419 := [rewrite]: #19418 +#19416 := (iff #19093 #19415) +#19413 := (iff #19089 #19412) +#19410 := (iff #19085 #19407) +#19404 := (or #19401 #19081) +#19408 := (iff #19404 #19407) +#19409 := [rewrite]: #19408 +#19405 := (iff #19085 #19404) +#19402 := (iff #19066 #19401) +#19399 := (iff #19065 #19398) +#19396 := (iff #19058 #19395) +#19393 := (iff #19057 #19392) +#19394 := [rewrite]: #19393 +#19397 := [monotonicity #19394]: #19396 +#19390 := (iff #19062 #19387) +#19379 := (+ #14120 #19060) +#19382 := (<= #19379 0::int) +#19388 := (iff #19382 #19387) +#19389 := [rewrite]: #19388 +#19383 := (iff #19062 #19382) +#19380 := (= #19061 #19379) +#19381 := [rewrite]: #19380 +#19384 := [monotonicity #19381]: #19383 +#19391 := [trans #19384 #19389]: #19390 +#19377 := (iff #19064 #19374) +#19366 := (+ #14101 ?x785!14) +#19369 := (>= #19366 0::int) +#19375 := (iff #19369 #19374) +#19376 := [rewrite]: #19375 +#19370 := (iff #19064 #19369) +#19367 := (= #19063 #19366) +#19368 := [rewrite]: #19367 +#19371 := [monotonicity #19368]: #19370 +#19378 := [trans #19371 #19376]: #19377 +#19400 := [monotonicity #19378 #19391 #19397]: #19399 +#19403 := [monotonicity #19400]: #19402 +#19406 := [monotonicity #19403]: #19405 +#19411 := [trans #19406 #19409]: #19410 +#19364 := (iff #19051 #14100) +#19365 := [rewrite]: #19364 +#19414 := [monotonicity #19365 #19411]: #19413 +#19417 := [monotonicity #19414]: #19416 +#19362 := (iff #19046 #14168) +#19363 := [rewrite]: #19362 +#19360 := (iff #19043 #14094) +#19361 := [rewrite]: #19360 +#19358 := (iff #19040 #3199) +#19359 := [rewrite]: #19358 +#19422 := [monotonicity #19359 #19361 #19363 #19417 #19419]: #19421 +#19427 := [trans #19422 #19425]: #19426 +#19430 := [monotonicity #19427]: #19429 +#19356 := (iff #19029 #14078) +#19357 := [rewrite]: #19356 +#19449 := (iff #19129 #13950) +#19450 := [rewrite]: #19449 +#19447 := (iff #19126 #13075) +#19448 := [rewrite]: #19447 +#19445 := (iff #19123 #13070) +#19446 := [rewrite]: #19445 +#19350 := (iff #19020 #12818) +#19351 := [rewrite]: #19350 +#19443 := (iff #19120 #3246) +#19444 := [rewrite]: #19443 +#19441 := (iff #19117 #3244) +#19442 := [rewrite]: #19441 +#19439 := (iff #19114 #3242) +#19440 := [rewrite]: #19439 +#19453 := [monotonicity #19440 #19442 #19444 #19351 #19446 #19448 #19450 #19357 #19430]: #19452 +#19458 := [trans #19453 #19456]: #19457 +#19461 := [monotonicity #19458]: #19460 +#19348 := (iff #19014 #12809) +#19349 := [rewrite]: #19348 +#19464 := [monotonicity #19349 #19461]: #19463 +#19469 := [trans #19464 #19467]: #19468 +#19472 := [monotonicity #19469]: #19471 +#19475 := [monotonicity #19335 #19472]: #19474 +#19480 := [trans #19475 #19478]: #19479 +#19437 := (iff #19108 #19434) +#19431 := (and #12823 #12826 #13952 #14078 #14207 #19428) +#19435 := (iff #19431 #19434) +#19436 := [rewrite]: #19435 +#19432 := (iff #19108 #19431) +#19354 := (iff #19026 #12826) +#19355 := [rewrite]: #19354 +#19352 := (iff #19023 #12823) +#19353 := [rewrite]: #19352 +#19433 := [monotonicity #19353 #19355 #19335 #19357 #14297 #19430]: #19432 +#19438 := [trans #19433 #19436]: #19437 +#19483 := [monotonicity #19438 #19480]: #19482 +#19486 := [monotonicity #19351 #19335 #19483]: #19485 +#19491 := [trans #19486 #19489]: #19490 +#19494 := [monotonicity #19491]: #19493 +#19497 := [monotonicity #19349 #19494]: #19496 +#19502 := [trans #19497 #19500]: #19501 +#19505 := [monotonicity #19502]: #19504 +#19508 := [monotonicity #19335 #19505]: #19507 +#19513 := [trans #19508 #19511]: #19512 +#19578 := [monotonicity #19513 #19575]: #19577 +#19346 := (iff #19003 #16357) +#19347 := [rewrite]: #19346 +#19344 := (iff #19000 #16337) +#19345 := [rewrite]: #19344 +#19342 := (iff #18997 #16318) +#19343 := [rewrite]: #19342 +#19340 := (iff #18987 #14502) +#19341 := [rewrite]: #19340 +#19338 := (iff #18984 #14453) +#19339 := [rewrite]: #19338 +#19336 := (iff #18981 #14411) +#19337 := [rewrite]: #19336 +#19332 := (iff #18975 #12553) +#19333 := [rewrite]: #19332 +#19330 := (iff #18972 #12437) +#19331 := [rewrite]: #19330 +#19328 := (iff #18969 #3127) +#19329 := [rewrite]: #19328 +#19326 := (iff #18966 #3124) +#19327 := [rewrite]: #19326 +#19324 := (iff #18963 #3123) +#19325 := [rewrite]: #19324 +#19322 := (iff #18960 #3122) +#19323 := [rewrite]: #19322 +#19320 := (iff #18957 #3121) +#19321 := [rewrite]: #19320 +#19581 := [monotonicity #19321 #19323 #19325 #19327 #19329 #19331 #19333 #19335 #19337 #19339 #19341 #19343 #19345 #19347 #19578]: #19580 +#19586 := [trans #19581 #19584]: #19585 +#19589 := [monotonicity #14668 #19586]: #19588 +#19592 := [monotonicity #19589]: #19591 +#19318 := (iff #18941 #19317) +#19315 := (iff #18940 #19312) +#19309 := (or #18939 #18938 #19306) +#19313 := (iff #19309 #19312) +#19314 := [rewrite]: #19313 +#19310 := (iff #18940 #19309) +#19307 := (iff #18933 #19306) +#19304 := (iff #18932 #19303) +#19305 := [rewrite]: #19304 +#19308 := [monotonicity #19305]: #19307 +#19311 := [monotonicity #19308]: #19310 +#19316 := [trans #19311 #19314]: #19315 +#19319 := [monotonicity #19316]: #19318 +#19595 := [monotonicity #19319 #19592]: #19594 +#19301 := (iff #18926 #13903) +#19302 := [rewrite]: #19301 +#19598 := [monotonicity #19302 #19595]: #19597 +#19601 := [monotonicity #19598]: #19600 +#19299 := (iff #18921 #12373) +#19300 := [rewrite]: #19299 +#19297 := (iff #18918 #3031) +#19298 := [rewrite]: #19297 +#19295 := (iff #18915 #3028) +#19296 := [rewrite]: #19295 +#19293 := (iff #18912 #3025) +#19294 := [rewrite]: #19293 +#19291 := (iff #18909 #3022) +#19292 := [rewrite]: #19291 +#19604 := [monotonicity #19292 #19294 #19296 #19298 #19300 #19601]: #19603 +#19609 := [trans #19604 #19607]: #19608 +#19612 := [monotonicity #19609]: #19611 +#19289 := (iff #18903 #12364) +#19290 := [rewrite]: #19289 +#19615 := [monotonicity #19290 #19612]: #19614 +#19620 := [trans #19615 #19618]: #19619 +#19623 := [monotonicity #19620]: #19622 +#19287 := (iff #18894 #12355) +#19288 := [rewrite]: #19287 +#19626 := [monotonicity #19288 #19623]: #19625 +#19629 := [monotonicity #19626]: #19628 +#16494 := (exists (vars (?x782 int)) #16489) +#16483 := (not #16480) +#16497 := (or #16483 #16494) +#16500 := (and #16480 #16497) +#16506 := (or #12671 #12662 #12653 #12644 #13955 #14049 #16500) +#16384 := (not #16381) +#16390 := (or #14151 #16384) +#16395 := (and #16381 #16390) +#16398 := (or #14105 #16395) +#16401 := (and #14100 #16398) +#16418 := (or #12942 #14097 #14172 #16401 #16412) +#16426 := (and #14088 #16368 #16418) +#16439 := (or #13124 #13115 #13090 #13142 #13133 #13081 #14243 #14081 #16426) +#16442 := (and #12806 #12812 #16439) +#16445 := (or #13159 #16442) +#16448 := (and #12803 #12806 #16445) +#16451 := (or #13955 #14207 #16448) +#16434 := (or #13002 #12993 #13955 #14081 #14211 #16426) +#16454 := (and #16434 #16451) +#16457 := (or #13142 #13955 #16454) +#16460 := (and #12806 #12812 #16457) +#16463 := (or #13159 #16460) +#16466 := (and #12803 #12806 #16463) +#16469 := (or #13955 #14046 #16466) +#16511 := (and #16469 #16506) +#16301 := (not #16298) +#16517 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #14456 #14507 #16301 #16323 #16340 #16362 #16511) +#16522 := (and #3022 #13943 #16517) +#16287 := (not #16284) +#16525 := (or #16287 #16522) +#16528 := (and #16284 #16525) +#16531 := (or #13906 #16528) +#16534 := (and #13903 #16531) +#16537 := (or #13672 #13663 #13654 #13645 #13681 #16534) +#16540 := (and #12361 #12367 #16537) +#16543 := (or #13698 #16540) +#16546 := (and #12358 #12361 #16543) +#16549 := (or #13715 #16546) +#16552 := (and #12355 #16549) +#16555 := (not #16552) +#19282 := (~ #16555 #19281) +#19278 := (not #16549) +#19279 := (~ #19278 #19277) +#19274 := (not #16546) +#19275 := (~ #19274 #19273) +#19270 := (not #16543) +#19271 := (~ #19270 #19269) +#19266 := (not #16540) +#19267 := (~ #19266 #19265) +#19262 := (not #16537) +#19263 := (~ #19262 #19261) +#19258 := (not #16534) +#19259 := (~ #19258 #19257) +#19254 := (not #16531) +#19255 := (~ #19254 #19253) +#19250 := (not #16528) +#19251 := (~ #19250 #19249) +#19246 := (not #16525) +#19247 := (~ #19246 #19245) +#19242 := (not #16522) +#19243 := (~ #19242 #19241) +#19238 := (not #16517) +#19239 := (~ #19238 #19237) +#19234 := (not #16511) +#19235 := (~ #19234 #19233) +#19230 := (not #16506) +#19231 := (~ #19230 #19229) +#19226 := (not #16500) +#19227 := (~ #19226 #19225) +#19222 := (not #16497) +#19223 := (~ #19222 #19221) +#19218 := (not #16494) +#19219 := (~ #19218 #19217) +#19215 := (~ #19214 #19214) +#19216 := [refl]: #19215 +#19220 := [nnf-neg #19216]: #19219 +#19211 := (not #16483) +#19212 := (~ #19211 #16480) +#19209 := (~ #16480 #16480) +#19207 := (~ #16475 #16475) +#19208 := [refl]: #19207 +#19210 := [nnf-pos #19208]: #19209 +#19213 := [nnf-neg #19210]: #19212 +#19224 := [nnf-neg #19213 #19220]: #19223 +#19203 := (~ #16483 #19202) +#19204 := [sk]: #19203 +#19228 := [nnf-neg #19204 #19224]: #19227 +#19188 := (~ #14352 #14352) +#19189 := [refl]: #19188 +#18979 := (~ #18978 #18978) +#18980 := [refl]: #18979 +#19186 := (~ #19185 #19185) +#19187 := [refl]: #19186 +#19183 := (~ #19182 #19182) +#19184 := [refl]: #19183 +#19180 := (~ #19179 #19179) +#19181 := [refl]: #19180 +#19177 := (~ #19176 #19176) +#19178 := [refl]: #19177 +#19232 := [nnf-neg #19178 #19181 #19184 #19187 #18980 #19189 #19228]: #19231 +#19173 := (not #16469) +#19174 := (~ #19173 #19172) +#19169 := (not #16466) +#19170 := (~ #19169 #19168) +#19165 := (not #16463) +#19166 := (~ #19165 #19164) +#19161 := (not #16460) +#19162 := (~ #19161 #19160) +#19157 := (not #16457) +#19158 := (~ #19157 #19156) +#19153 := (not #16454) +#19154 := (~ #19153 #19152) +#19149 := (not #16451) +#19150 := (~ #19149 #19148) +#19145 := (not #16448) +#19146 := (~ #19145 #19144) +#19141 := (not #16445) +#19142 := (~ #19141 #19140) +#19137 := (not #16442) +#19138 := (~ #19137 #19136) +#19133 := (not #16439) +#19134 := (~ #19133 #19132) +#19105 := (not #16426) +#19106 := (~ #19105 #19104) +#19101 := (not #16418) +#19102 := (~ #19101 #19100) +#19098 := (~ #19097 #19097) +#19099 := [refl]: #19098 +#19094 := (not #16401) +#19095 := (~ #19094 #19093) +#19090 := (not #16398) +#19091 := (~ #19090 #19089) +#19086 := (not #16395) +#19087 := (~ #19086 #19085) +#19082 := (not #16390) +#19083 := (~ #19082 #19081) +#19078 := (not #16384) +#19079 := (~ #19078 #16381) +#19076 := (~ #16381 #16381) +#19074 := (~ #16376 #16376) +#19075 := [refl]: #19074 +#19077 := [nnf-pos #19075]: #19076 +#19080 := [nnf-neg #19077]: #19079 +#19072 := (~ #19071 #19071) +#19073 := [refl]: #19072 +#19084 := [nnf-neg #19073 #19080]: #19083 +#19067 := (~ #16384 #19066) +#19068 := [sk]: #19067 +#19088 := [nnf-neg #19068 #19084]: #19087 +#19052 := (~ #19051 #19051) +#19053 := [refl]: #19052 +#19092 := [nnf-neg #19053 #19088]: #19091 +#19049 := (~ #14105 #14105) +#19050 := [refl]: #19049 +#19096 := [nnf-neg #19050 #19092]: #19095 +#19047 := (~ #19046 #19046) +#19048 := [refl]: #19047 +#19044 := (~ #19043 #19043) +#19045 := [refl]: #19044 +#19041 := (~ #19040 #19040) +#19042 := [refl]: #19041 +#19103 := [nnf-neg #19042 #19045 #19048 #19096 #19099]: #19102 +#19038 := (~ #19037 #19037) +#19039 := [refl]: #19038 +#19035 := (~ #19034 #19034) +#19036 := [refl]: #19035 +#19107 := [nnf-neg #19036 #19039 #19103]: #19106 +#19030 := (~ #19029 #19029) +#19031 := [refl]: #19030 +#19130 := (~ #19129 #19129) +#19131 := [refl]: #19130 +#19127 := (~ #19126 #19126) +#19128 := [refl]: #19127 +#19124 := (~ #19123 #19123) +#19125 := [refl]: #19124 +#19021 := (~ #19020 #19020) +#19022 := [refl]: #19021 +#19121 := (~ #19120 #19120) +#19122 := [refl]: #19121 +#19118 := (~ #19117 #19117) +#19119 := [refl]: #19118 +#19115 := (~ #19114 #19114) +#19116 := [refl]: #19115 +#19135 := [nnf-neg #19116 #19119 #19122 #19022 #19125 #19128 #19131 #19031 #19107]: #19134 +#19018 := (~ #19017 #19017) +#19019 := [refl]: #19018 +#19012 := (~ #19011 #19011) +#19013 := [refl]: #19012 +#19139 := [nnf-neg #19013 #19019 #19135]: #19138 +#19015 := (~ #19014 #19014) +#19016 := [refl]: #19015 +#19143 := [nnf-neg #19016 #19139]: #19142 +#19009 := (~ #19008 #19008) +#19010 := [refl]: #19009 +#19147 := [nnf-neg #19010 #19013 #19143]: #19146 +#19112 := (~ #14211 #14211) +#19113 := [refl]: #19112 +#19151 := [nnf-neg #18980 #19113 #19147]: #19150 +#19109 := (not #16434) +#19110 := (~ #19109 #19108) +#19032 := (~ #14293 #14293) +#19033 := [refl]: #19032 +#19027 := (~ #19026 #19026) +#19028 := [refl]: #19027 +#19024 := (~ #19023 #19023) +#19025 := [refl]: #19024 +#19111 := [nnf-neg #19025 #19028 #18980 #19031 #19033 #19107]: #19110 +#19155 := [nnf-neg #19111 #19151]: #19154 +#19159 := [nnf-neg #19022 #18980 #19155]: #19158 +#19163 := [nnf-neg #19013 #19019 #19159]: #19162 +#19167 := [nnf-neg #19016 #19163]: #19166 +#19171 := [nnf-neg #19010 #19013 #19167]: #19170 +#19006 := (~ #14049 #14049) +#19007 := [refl]: #19006 +#19175 := [nnf-neg #18980 #19007 #19171]: #19174 +#19236 := [nnf-neg #19175 #19232]: #19235 +#19004 := (~ #19003 #19003) +#19005 := [refl]: #19004 +#19001 := (~ #19000 #19000) +#19002 := [refl]: #19001 +#18998 := (~ #18997 #18997) +#18999 := [refl]: #18998 +#18994 := (not #16301) +#18995 := (~ #18994 #16298) +#18992 := (~ #16298 #16298) +#18990 := (~ #16293 #16293) +#18991 := [refl]: #18990 +#18993 := [nnf-pos #18991]: #18992 +#18996 := [nnf-neg #18993]: #18995 +#18988 := (~ #18987 #18987) +#18989 := [refl]: #18988 +#18985 := (~ #18984 #18984) +#18986 := [refl]: #18985 +#18982 := (~ #18981 #18981) +#18983 := [refl]: #18982 +#18976 := (~ #18975 #18975) +#18977 := [refl]: #18976 +#18973 := (~ #18972 #18972) +#18974 := [refl]: #18973 +#18970 := (~ #18969 #18969) +#18971 := [refl]: #18970 +#18967 := (~ #18966 #18966) +#18968 := [refl]: #18967 +#18964 := (~ #18963 #18963) +#18965 := [refl]: #18964 +#18961 := (~ #18960 #18960) +#18962 := [refl]: #18961 +#18958 := (~ #18957 #18957) +#18959 := [refl]: #18958 +#19240 := [nnf-neg #18959 #18962 #18965 #18968 #18971 #18974 #18977 #18980 #18983 #18986 #18989 #18996 #18999 #19002 #19005 #19236]: #19239 +#18955 := (~ #14664 #14664) +#18956 := [refl]: #18955 +#18953 := (~ #13672 #13672) +#18954 := [refl]: #18953 +#19244 := [nnf-neg #18954 #18956 #19240]: #19243 +#18950 := (not #16287) +#18951 := (~ #18950 #16284) +#18948 := (~ #16284 #16284) +#18946 := (~ #16279 #16279) +#18947 := [refl]: #18946 +#18949 := [nnf-pos #18947]: #18948 +#18952 := [nnf-neg #18949]: #18951 +#19248 := [nnf-neg #18952 #19244]: #19247 +#18942 := (~ #16287 #18941) +#18943 := [sk]: #18942 +#19252 := [nnf-neg #18943 #19248]: #19251 +#18927 := (~ #18926 #18926) +#18928 := [refl]: #18927 +#19256 := [nnf-neg #18928 #19252]: #19255 +#18924 := (~ #13906 #13906) +#18925 := [refl]: #18924 +#19260 := [nnf-neg #18925 #19256]: #19259 +#18922 := (~ #18921 #18921) +#18923 := [refl]: #18922 +#18919 := (~ #18918 #18918) +#18920 := [refl]: #18919 +#18916 := (~ #18915 #18915) +#18917 := [refl]: #18916 +#18913 := (~ #18912 #18912) +#18914 := [refl]: #18913 +#18910 := (~ #18909 #18909) +#18911 := [refl]: #18910 +#19264 := [nnf-neg #18911 #18914 #18917 #18920 #18923 #19260]: #19263 +#18907 := (~ #18906 #18906) +#18908 := [refl]: #18907 +#18901 := (~ #18900 #18900) +#18902 := [refl]: #18901 +#19268 := [nnf-neg #18902 #18908 #19264]: #19267 +#18904 := (~ #18903 #18903) +#18905 := [refl]: #18904 +#19272 := [nnf-neg #18905 #19268]: #19271 +#18898 := (~ #18897 #18897) +#18899 := [refl]: #18898 +#19276 := [nnf-neg #18899 #18902 #19272]: #19275 +#18895 := (~ #18894 #18894) +#18896 := [refl]: #18895 +#19280 := [nnf-neg #18896 #19276]: #19279 +#18892 := (~ #13715 #13715) +#18893 := [refl]: #18892 +#19283 := [nnf-neg #18893 #19280]: #19282 +#15734 := (or #12671 #12662 #12653 #12644 #13955 #14009 #14049) +#15742 := (and #14371 #15734) +#15750 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #14450 #14456 #14468 #14483 #14496 #14507 #15742) +#15755 := (and #3022 #13943 #15750) +#15758 := (or #13939 #15755) +#15761 := (and #13936 #15758) +#15764 := (or #13906 #15761) +#15767 := (and #13903 #15764) +#15770 := (or #13672 #13663 #13654 #13645 #13681 #15767) +#15773 := (and #12361 #12367 #15770) +#15776 := (or #13698 #15773) +#15779 := (and #12358 #12361 #15776) +#15782 := (or #13715 #15779) +#15785 := (and #12355 #15782) +#15788 := (not #15785) +#16556 := (iff #15788 #16555) +#16553 := (iff #15785 #16552) +#16550 := (iff #15782 #16549) +#16547 := (iff #15779 #16546) +#16544 := (iff #15776 #16543) +#16541 := (iff #15773 #16540) +#16538 := (iff #15770 #16537) +#16535 := (iff #15767 #16534) +#16532 := (iff #15764 #16531) +#16529 := (iff #15761 #16528) +#16526 := (iff #15758 #16525) +#16523 := (iff #15755 #16522) +#16520 := (iff #15750 #16517) +#16514 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #14416 #16301 #14456 #16323 #16340 #16362 #14507 #16511) +#16518 := (iff #16514 #16517) +#16519 := [rewrite]: #16518 +#16515 := (iff #15750 #16514) +#16512 := (iff #15742 #16511) +#16509 := (iff #15734 #16506) +#16503 := (or #12671 #12662 #12653 #12644 #13955 #16500 #14049) +#16507 := (iff #16503 #16506) +#16508 := [rewrite]: #16507 +#16504 := (iff #15734 #16503) +#16501 := (iff #14009 #16500) +#16498 := (iff #14006 #16497) +#16495 := (iff #14003 #16494) +#16492 := (iff #13998 #16489) +#16486 := (and #3145 #4084 #15606 #13958) +#16490 := (iff #16486 #16489) +#16491 := [rewrite]: #16490 +#16487 := (iff #13998 #16486) +#15605 := (iff #4419 #15606) +#15638 := -131073::int +#15614 := (+ -131073::int #161) +#15611 := (<= #15614 0::int) +#15607 := (iff #15611 #15606) +#15604 := [rewrite]: #15607 +#15608 := (iff #4419 #15611) +#15613 := (= #4418 #15614) +#15619 := (+ #161 -131073::int) +#15615 := (= #15619 #15614) +#15612 := [rewrite]: #15615 +#15616 := (= #4418 #15619) +#15637 := (= #4413 -131073::int) +#15643 := (* -1::int 131073::int) +#15639 := (= #15643 -131073::int) +#15636 := [rewrite]: #15639 +#15640 := (= #4413 #15643) +#7883 := (= uf_76 131073::int) +#1070 := 65536::int +#1313 := (+ 65536::int 65536::int) +#1318 := (+ #1313 1::int) +#1319 := (= uf_76 #1318) +#7884 := (iff #1319 #7883) +#7881 := (= #1318 131073::int) +#7874 := (+ 131072::int 1::int) +#7879 := (= #7874 131073::int) +#7880 := [rewrite]: #7879 +#7876 := (= #1318 #7874) +#7845 := (= #1313 131072::int) +#7846 := [rewrite]: #7845 +#7877 := [monotonicity #7846]: #7876 +#7882 := [trans #7877 #7880]: #7881 +#7885 := [monotonicity #7882]: #7884 +#7873 := [asserted]: #1319 +#7888 := [mp #7873 #7885]: #7883 +#15641 := [monotonicity #7888]: #15640 +#15634 := [trans #15641 #15636]: #15637 +#15617 := [monotonicity #15634]: #15616 +#15610 := [trans #15617 #15612]: #15613 +#15609 := [monotonicity #15610]: #15608 +#15602 := [trans #15609 #15604]: #15605 +#16488 := [monotonicity #15602]: #16487 +#16493 := [trans #16488 #16491]: #16492 +#16496 := [quant-intro #16493]: #16495 +#16484 := (iff #13989 #16483) +#16481 := (iff #13986 #16480) +#16478 := (iff #13981 #16475) +#16472 := (or #14857 #13959 #13972) +#16476 := (iff #16472 #16475) +#16477 := [rewrite]: #16476 +#16473 := (iff #13981 #16472) +#14854 := (iff #5739 #14857) +#14859 := (iff #5736 #14858) +#14856 := [monotonicity #15602]: #14859 +#14855 := [monotonicity #14856]: #14854 +#16474 := [monotonicity #14855]: #16473 +#16479 := [trans #16474 #16477]: #16478 +#16482 := [quant-intro #16479]: #16481 +#16485 := [monotonicity #16482]: #16484 +#16499 := [monotonicity #16485 #16496]: #16498 +#16502 := [monotonicity #16482 #16499]: #16501 +#16505 := [monotonicity #16502]: #16504 +#16510 := [trans #16505 #16508]: #16509 +#16470 := (iff #14371 #16469) +#16467 := (iff #14345 #16466) +#16464 := (iff #14339 #16463) +#16461 := (iff #14334 #16460) +#16458 := (iff #14326 #16457) +#16455 := (iff #14317 #16454) +#16452 := (iff #14312 #16451) +#16449 := (iff #14286 #16448) +#16446 := (iff #14280 #16445) +#16443 := (iff #14275 #16442) +#16440 := (iff #14267 #16439) +#16429 := (iff #14201 #16426) +#16423 := (and #16368 #14088 #16418) +#16427 := (iff #16423 #16426) +#16428 := [rewrite]: #16427 +#16424 := (iff #14201 #16423) +#16421 := (iff #14193 #16418) +#16415 := (or #12942 #14097 #16401 #14172 #16412) +#16419 := (iff #16415 #16418) +#16420 := [rewrite]: #16419 +#16416 := (iff #14193 #16415) +#16413 := (iff #14178 #16412) +#16410 := (iff #14175 #16407) +#16404 := (and #16368 #14088) +#16408 := (iff #16404 #16407) +#16409 := [rewrite]: #16408 +#16405 := (iff #14175 #16404) +#16371 := (iff #14084 #16368) +#16304 := (+ 131073::int #14044) +#16365 := (>= #16304 1::int) +#16369 := (iff #16365 #16368) +#16370 := [rewrite]: #16369 +#16366 := (iff #14084 #16365) +#16305 := (= #14085 #16304) +#16306 := [monotonicity #7888]: #16305 +#16367 := [monotonicity #16306]: #16366 +#16372 := [trans #16367 #16370]: #16371 +#16406 := [monotonicity #16372]: #16405 +#16411 := [trans #16406 #16409]: #16410 +#16414 := [monotonicity #16411]: #16413 +#16402 := (iff #14165 #16401) +#16399 := (iff #14162 #16398) +#16396 := (iff #14159 #16395) +#16393 := (iff #14156 #16390) +#16387 := (or #16384 #14151) +#16391 := (iff #16387 #16390) +#16392 := [rewrite]: #16391 +#16388 := (iff #14156 #16387) +#16385 := (iff #14139 #16384) +#16382 := (iff #14136 #16381) +#16379 := (iff #14131 #16376) +#16373 := (or #14857 #14109 #14122) +#16377 := (iff #16373 #16376) +#16378 := [rewrite]: #16377 +#16374 := (iff #14131 #16373) +#16375 := [monotonicity #14855]: #16374 +#16380 := [trans #16375 #16378]: #16379 +#16383 := [quant-intro #16380]: #16382 +#16386 := [monotonicity #16383]: #16385 +#16389 := [monotonicity #16386]: #16388 +#16394 := [trans #16389 #16392]: #16393 +#16397 := [monotonicity #16383 #16394]: #16396 +#16400 := [monotonicity #16397]: #16399 +#16403 := [monotonicity #16400]: #16402 +#16417 := [monotonicity #16403 #16414]: #16416 +#16422 := [trans #16417 #16420]: #16421 +#16425 := [monotonicity #16372 #16422]: #16424 +#16430 := [trans #16425 #16428]: #16429 +#16441 := [monotonicity #16430]: #16440 +#16444 := [monotonicity #16441]: #16443 +#16447 := [monotonicity #16444]: #16446 +#16450 := [monotonicity #16447]: #16449 +#16453 := [monotonicity #16450]: #16452 +#16437 := (iff #14238 #16434) +#16431 := (or #13002 #12993 #13955 #14081 #16426 #14211) +#16435 := (iff #16431 #16434) +#16436 := [rewrite]: #16435 +#16432 := (iff #14238 #16431) +#16433 := [monotonicity #16430]: #16432 +#16438 := [trans #16433 #16436]: #16437 +#16456 := [monotonicity #16438 #16453]: #16455 +#16459 := [monotonicity #16456]: #16458 +#16462 := [monotonicity #16459]: #16461 +#16465 := [monotonicity #16462]: #16464 +#16468 := [monotonicity #16465]: #16467 +#16471 := [monotonicity #16468]: #16470 +#16513 := [monotonicity #16471 #16510]: #16512 +#16363 := (iff #14496 #16362) +#16360 := (iff #14493 #16357) +#16354 := (and #16349 #14490) +#16358 := (iff #16354 #16357) +#16359 := [rewrite]: #16358 +#16355 := (iff #14493 #16354) +#16352 := (iff #14486 #16349) +#16343 := (+ 255::int #14431) +#16346 := (>= #16343 0::int) +#16350 := (iff #16346 #16349) +#16351 := [rewrite]: #16350 +#16347 := (iff #14486 #16346) +#16344 := (= #14487 #16343) +#1323 := (= uf_78 255::int) +#7887 := [asserted]: #1323 +#16345 := [monotonicity #7887]: #16344 +#16348 := [monotonicity #16345]: #16347 +#16353 := [trans #16348 #16351]: #16352 +#16356 := [monotonicity #16353]: #16355 +#16361 := [trans #16356 #16359]: #16360 +#16364 := [monotonicity #16361]: #16363 +#16341 := (iff #14483 #16340) +#16338 := (iff #14478 #16337) +#16335 := (iff #14471 #16332) +#16326 := (+ 131073::int #14402) +#16329 := (>= #16326 0::int) +#16333 := (iff #16329 #16332) +#16334 := [rewrite]: #16333 +#16330 := (iff #14471 #16329) +#16327 := (= #14472 #16326) +#16328 := [monotonicity #7888]: #16327 +#16331 := [monotonicity #16328]: #16330 +#16336 := [trans #16331 #16334]: #16335 +#16339 := [monotonicity #16336]: #16338 +#16342 := [monotonicity #16339]: #16341 +#16324 := (iff #14468 #16323) +#16321 := (iff #14465 #16318) +#16315 := (and #16310 #14462) +#16319 := (iff #16315 #16318) +#16320 := [rewrite]: #16319 +#16316 := (iff #14465 #16315) +#16313 := (iff #14459 #16310) +#16307 := (>= #16304 0::int) +#16311 := (iff #16307 #16310) +#16312 := [rewrite]: #16311 +#16308 := (iff #14459 #16307) +#16309 := [monotonicity #16306]: #16308 +#16314 := [trans #16309 #16312]: #16313 +#16317 := [monotonicity #16314]: #16316 +#16322 := [trans #16317 #16320]: #16321 +#16325 := [monotonicity #16322]: #16324 +#16302 := (iff #14450 #16301) +#16299 := (iff #14447 #16298) +#16296 := (iff #14442 #16293) +#16290 := (or #14857 #14420 #14433) +#16294 := (iff #16290 #16293) +#16295 := [rewrite]: #16294 +#16291 := (iff #14442 #16290) +#16292 := [monotonicity #14855]: #16291 +#16297 := [trans #16292 #16295]: #16296 +#16300 := [quant-intro #16297]: #16299 +#16303 := [monotonicity #16300]: #16302 +#16516 := [monotonicity #16303 #16325 #16342 #16364 #16513]: #16515 +#16521 := [trans #16516 #16519]: #16520 +#16524 := [monotonicity #16521]: #16523 +#16288 := (iff #13939 #16287) +#16285 := (iff #13936 #16284) +#16282 := (iff #13931 #16279) +#16276 := (or #14857 #13910 #13921) +#16280 := (iff #16276 #16279) +#16281 := [rewrite]: #16280 +#16277 := (iff #13931 #16276) +#16278 := [monotonicity #14855]: #16277 +#16283 := [trans #16278 #16281]: #16282 +#16286 := [quant-intro #16283]: #16285 +#16289 := [monotonicity #16286]: #16288 +#16527 := [monotonicity #16289 #16524]: #16526 +#16530 := [monotonicity #16286 #16527]: #16529 +#16533 := [monotonicity #16530]: #16532 +#16536 := [monotonicity #16533]: #16535 +#16539 := [monotonicity #16536]: #16538 +#16542 := [monotonicity #16539]: #16541 +#16545 := [monotonicity #16542]: #16544 +#16548 := [monotonicity #16545]: #16547 +#16551 := [monotonicity #16548]: #16550 +#16554 := [monotonicity #16551]: #16553 +#16557 := [monotonicity #16554]: #16556 +#14791 := (not #14643) +#15789 := (iff #14791 #15788) +#15786 := (iff #14643 #15785) +#15783 := (iff #14640 #15782) +#15780 := (iff #14635 #15779) +#15777 := (iff #14629 #15776) +#15774 := (iff #14624 #15773) +#15771 := (iff #14616 #15770) +#15768 := (iff #14595 #15767) +#15765 := (iff #14592 #15764) +#15762 := (iff #14589 #15761) +#15759 := (iff #14586 #15758) +#15756 := (iff #14581 #15755) +#15753 := (iff #14573 #15750) +#15747 := (or #13367 #13358 #13349 #13340 #13331 #14399 #15709 #13955 #15742 #14416 #14450 #14456 #14468 #14483 #14496 #14507) +#15751 := (iff #15747 #15750) +#15752 := [rewrite]: #15751 +#15748 := (iff #14573 #15747) +#15745 := (iff #14376 #15742) +#15739 := (and #15734 #14371) +#15743 := (iff #15739 #15742) +#15744 := [rewrite]: #15743 +#15740 := (iff #14376 #15739) +#15737 := (iff #14070 #15734) +#15719 := (or #12671 #12662 #12653 #12644 #13955 #14009) +#15731 := (or #13955 #15719 #14049) +#15735 := (iff #15731 #15734) +#15736 := [rewrite]: #15735 +#15732 := (iff #14070 #15731) +#15729 := (iff #14041 #15719) +#15724 := (and true #15719) +#15727 := (iff #15724 #15719) +#15728 := [rewrite]: #15727 +#15725 := (iff #14041 #15724) +#15722 := (iff #14036 #15719) +#15716 := (or false #12671 #12662 #12653 #12644 #13955 #14009) +#15720 := (iff #15716 #15719) +#15721 := [rewrite]: #15720 +#15717 := (iff #14036 #15716) +#15714 := (iff #12719 false) +#15712 := (iff #12719 #3294) +#15456 := (iff up_216 true) +#11194 := [asserted]: up_216 +#15457 := [iff-true #11194]: #15456 +#15713 := [monotonicity #15457]: #15712 +#15715 := [trans #15713 #13445]: #15714 +#15718 := [monotonicity #15715]: #15717 +#15723 := [trans #15718 #15721]: #15722 +#15726 := [monotonicity #15457 #15723]: #15725 +#15730 := [trans #15726 #15728]: #15729 +#15733 := [monotonicity #15730]: #15732 +#15738 := [trans #15733 #15736]: #15737 +#15741 := [monotonicity #15738]: #15740 +#15746 := [trans #15741 #15744]: #15745 +#15710 := (iff #13376 #15709) +#15707 := (iff #12556 #12553) +#15702 := (and true #12553) +#15705 := (iff #15702 #12553) +#15706 := [rewrite]: #15705 +#15703 := (iff #12556 #15702) +#15690 := (iff #12332 true) +#15691 := [iff-true #14784]: #15690 +#15704 := [monotonicity #15691]: #15703 +#15708 := [trans #15704 #15706]: #15707 +#15711 := [monotonicity #15708]: #15710 +#15749 := [monotonicity #15711 #15746]: #15748 +#15754 := [trans #15749 #15752]: #15753 +#15757 := [monotonicity #15754]: #15756 +#15760 := [monotonicity #15757]: #15759 +#15763 := [monotonicity #15760]: #15762 +#15766 := [monotonicity #15763]: #15765 +#15769 := [monotonicity #15766]: #15768 +#15772 := [monotonicity #15769]: #15771 +#15775 := [monotonicity #15772]: #15774 +#15778 := [monotonicity #15775]: #15777 +#15781 := [monotonicity #15778]: #15780 +#15784 := [monotonicity #15781]: #15783 +#15787 := [monotonicity #15784]: #15786 +#15790 := [monotonicity #15787]: #15789 +#14792 := [not-or-elim #14776]: #14791 +#15791 := [mp #14792 #15790]: #15788 +#16558 := [mp #15791 #16557]: #16555 +#19284 := [mp~ #16558 #19283]: #19281 +#19285 := [mp #19284 #19629]: #19627 +#23120 := [mp #19285 #23119]: #23117 +#23987 := [mp #23120 #23986]: #23984 +#28241 := [unit-resolution #23987 #26494]: #23981 +#28348 := (or #23978 #23957) +decl uf_136 :: (-> T14 T5) +#26312 := (uf_58 #3079 #3011) +#26553 := (uf_136 #26312) +#26565 := (uf_24 uf_273 #26553) +#26566 := (= uf_9 #26565) +#26600 := (not #26566) +decl uf_135 :: (-> T14 T2) +#26546 := (uf_135 #26312) +#26551 := (= uf_9 #26546) +#26552 := (not #26551) +#26788 := (or #26552 #26600) +#26791 := (not #26788) +decl uf_210 :: (-> T4 T5 T2) +#26631 := (uf_210 uf_273 #26553) +#26632 := (= uf_9 #26631) +#26630 := (uf_25 uf_273 #26553) +#26610 := (= uf_26 #26630) +#26753 := (or #26610 #26632) +#26766 := (not #26753) +#26287 := (uf_15 #3011) +#26634 := (uf_14 #26287) +#26726 := (= uf_16 #26634) +#26750 := (not #26726) +#26608 := (uf_15 #26553) +#26609 := (uf_14 #26608) +#26629 := (= uf_16 #26609) +#26796 := (or #26629 #26750 #26766 #26791) +#26807 := (not #26796) +#26557 := (uf_25 uf_273 #3011) +#26558 := (= uf_26 #26557) +#26555 := (uf_210 uf_273 #3011) +#26556 := (= uf_9 #26555) +#26756 := (or #26556 #26558) +#26759 := (not #26756) +#26745 := (or #26726 #26759) +#26748 := (not #26745) +#26809 := (or #26748 #26807) +#26812 := (not #26809) +#26819 := (or #18897 #26812) +#26823 := (not #26819) +#26851 := (iff #12367 #26823) +#2376 := (uf_67 #47 #26) +#2377 := (pattern #2376) +#281 := (uf_59 #47) +#2383 := (uf_58 #281 #26) +#2397 := (uf_135 #2383) +#10938 := (= uf_9 #2397) +#10941 := (not #10938) +#2384 := (uf_136 #2383) +#2394 := (uf_24 #47 #2384) +#10932 := (= uf_9 #2394) +#10935 := (not #10932) +#10944 := (or #10935 #10941) +#22490 := (not #10944) +#2390 := (uf_15 #2384) +#2391 := (uf_14 #2390) +#10926 := (= uf_16 #2391) +#2387 := (uf_25 #47 #2384) +#10920 := (= uf_26 #2387) +#2385 := (uf_210 #47 #2384) +#10917 := (= uf_9 #2385) +#10923 := (or #10917 #10920) +#22489 := (not #10923) +#22491 := (or #52 #22489 #10926 #22490) +#22492 := (not #22491) +#2379 := (uf_210 #47 #26) +#10898 := (= uf_9 #2379) +#10904 := (or #3656 #10898) +#22484 := (not #10904) +#22485 := (or #36 #22484) +#22486 := (not #22485) +#22495 := (or #22486 #22492) +#22501 := (not #22495) +#22502 := (or #11522 #22501) +#22503 := (not #22502) +#10894 := (= uf_9 #2376) +#22508 := (iff #10894 #22503) +#22511 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #22508) +#10929 := (not #10926) +#10978 := (and #36 #10923 #10929 #10944) +#10912 := (and #52 #10904) +#10981 := (or #10912 #10978) +#10984 := (and #3650 #10981) +#10987 := (iff #10894 #10984) +#10990 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #10987) +#22512 := (iff #10990 #22511) +#22509 := (iff #10987 #22508) +#22506 := (iff #10984 #22503) +#22498 := (and #3650 #22495) +#22504 := (iff #22498 #22503) +#22505 := [rewrite]: #22504 +#22499 := (iff #10984 #22498) +#22496 := (iff #10981 #22495) +#22493 := (iff #10978 #22492) +#22494 := [rewrite]: #22493 +#22487 := (iff #10912 #22486) +#22488 := [rewrite]: #22487 +#22497 := [monotonicity #22488 #22494]: #22496 +#22500 := [monotonicity #22497]: #22499 +#22507 := [trans #22500 #22505]: #22506 +#22510 := [monotonicity #22507]: #22509 +#22513 := [quant-intro #22510]: #22512 +#18466 := (~ #10990 #10990) +#18464 := (~ #10987 #10987) +#18465 := [refl]: #18464 +#18467 := [nnf-pos #18465]: #18466 +#2398 := (= #2397 uf_9) +#2399 := (not #2398) +#2395 := (= #2394 uf_9) +#2396 := (not #2395) +#2400 := (or #2396 #2399) +#2401 := (and #2400 #36) +#2392 := (= #2391 uf_16) +#2393 := (not #2392) +#2402 := (and #2393 #2401) +#2388 := (= #2387 uf_26) +#2386 := (= #2385 uf_9) +#2389 := (or #2386 #2388) +#2403 := (and #2389 #2402) +#2380 := (= #2379 uf_9) +#2381 := (or #2380 #151) +#2382 := (and #2381 #52) +#2404 := (or #2382 #2403) +#2405 := (and #2404 #147) +#2378 := (= #2376 uf_9) +#2406 := (iff #2378 #2405) +#2407 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #2406) +#10993 := (iff #2407 #10990) +#10950 := (and #36 #10944) +#10955 := (and #10929 #10950) +#10958 := (and #10923 #10955) +#10961 := (or #10912 #10958) +#10967 := (and #3650 #10961) +#10972 := (iff #10894 #10967) +#10975 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2377) #10972) +#10991 := (iff #10975 #10990) +#10988 := (iff #10972 #10987) +#10985 := (iff #10967 #10984) +#10982 := (iff #10961 #10981) +#10979 := (iff #10958 #10978) +#10980 := [rewrite]: #10979 +#10983 := [monotonicity #10980]: #10982 +#10986 := [monotonicity #10983]: #10985 +#10989 := [monotonicity #10986]: #10988 +#10992 := [quant-intro #10989]: #10991 +#10976 := (iff #2407 #10975) +#10973 := (iff #2406 #10972) +#10970 := (iff #2405 #10967) +#10964 := (and #10961 #3650) +#10968 := (iff #10964 #10967) +#10969 := [rewrite]: #10968 +#10965 := (iff #2405 #10964) +#10962 := (iff #2404 #10961) +#10959 := (iff #2403 #10958) +#10956 := (iff #2402 #10955) +#10953 := (iff #2401 #10950) +#10947 := (and #10944 #36) +#10951 := (iff #10947 #10950) +#10952 := [rewrite]: #10951 +#10948 := (iff #2401 #10947) +#10945 := (iff #2400 #10944) +#10942 := (iff #2399 #10941) +#10939 := (iff #2398 #10938) +#10940 := [rewrite]: #10939 +#10943 := [monotonicity #10940]: #10942 +#10936 := (iff #2396 #10935) +#10933 := (iff #2395 #10932) +#10934 := [rewrite]: #10933 +#10937 := [monotonicity #10934]: #10936 +#10946 := [monotonicity #10937 #10943]: #10945 +#10949 := [monotonicity #10946]: #10948 +#10954 := [trans #10949 #10952]: #10953 +#10930 := (iff #2393 #10929) +#10927 := (iff #2392 #10926) +#10928 := [rewrite]: #10927 +#10931 := [monotonicity #10928]: #10930 +#10957 := [monotonicity #10931 #10954]: #10956 +#10924 := (iff #2389 #10923) +#10921 := (iff #2388 #10920) +#10922 := [rewrite]: #10921 +#10918 := (iff #2386 #10917) +#10919 := [rewrite]: #10918 +#10925 := [monotonicity #10919 #10922]: #10924 +#10960 := [monotonicity #10925 #10957]: #10959 +#10915 := (iff #2382 #10912) +#10909 := (and #10904 #52) +#10913 := (iff #10909 #10912) +#10914 := [rewrite]: #10913 +#10910 := (iff #2382 #10909) +#10907 := (iff #2381 #10904) +#10901 := (or #10898 #3656) +#10905 := (iff #10901 #10904) +#10906 := [rewrite]: #10905 +#10902 := (iff #2381 #10901) +#10899 := (iff #2380 #10898) +#10900 := [rewrite]: #10899 +#10903 := [monotonicity #10900 #3658]: #10902 +#10908 := [trans #10903 #10906]: #10907 +#10911 := [monotonicity #10908]: #10910 +#10916 := [trans #10911 #10914]: #10915 +#10963 := [monotonicity #10916 #10960]: #10962 +#10966 := [monotonicity #10963 #3652]: #10965 +#10971 := [trans #10966 #10969]: #10970 +#10896 := (iff #2378 #10894) +#10897 := [rewrite]: #10896 +#10974 := [monotonicity #10897 #10971]: #10973 +#10977 := [quant-intro #10974]: #10976 +#10994 := [trans #10977 #10992]: #10993 +#10893 := [asserted]: #2407 +#10995 := [mp #10893 #10994]: #10990 +#18468 := [mp~ #10995 #18467]: #10990 +#22514 := [mp #18468 #22513]: #22511 +#26854 := (not #22511) +#26855 := (or #26854 #26851) +#26606 := (or #26600 #26552) +#26607 := (not #26606) +#26633 := (or #26632 #26610) +#26628 := (not #26633) +#26635 := (= #26634 uf_16) +#26684 := (not #26635) +#26685 := (or #26684 #26628 #26629 #26607) +#26554 := (not #26685) +#26559 := (or #26558 #26556) +#26560 := (not #26559) +#26544 := (or #26635 #26560) +#26636 := (not #26544) +#26637 := (or #26636 #26554) +#26681 := (not #26637) +#26713 := (or #18897 #26681) +#26714 := (not #26713) +#26725 := (iff #12367 #26714) +#26840 := (or #26854 #26725) +#26842 := (iff #26840 #26855) +#26844 := (iff #26855 #26855) +#26839 := [rewrite]: #26844 +#26852 := (iff #26725 #26851) +#26824 := (iff #26714 #26823) +#26820 := (iff #26713 #26819) +#26813 := (iff #26681 #26812) +#26810 := (iff #26637 #26809) +#26808 := (iff #26554 #26807) +#26805 := (iff #26685 #26796) +#26793 := (or #26750 #26766 #26629 #26791) +#26802 := (iff #26793 #26796) +#26804 := [rewrite]: #26802 +#26794 := (iff #26685 #26793) +#26786 := (iff #26607 #26791) +#26789 := (iff #26606 #26788) +#26790 := [rewrite]: #26789 +#26792 := [monotonicity #26790]: #26786 +#26785 := (iff #26628 #26766) +#26764 := (iff #26633 #26753) +#26765 := [rewrite]: #26764 +#26787 := [monotonicity #26765]: #26785 +#26751 := (iff #26684 #26750) +#26754 := (iff #26635 #26726) +#26755 := [rewrite]: #26754 +#26752 := [monotonicity #26755]: #26751 +#26795 := [monotonicity #26752 #26787 #26792]: #26794 +#26806 := [trans #26795 #26804]: #26805 +#26803 := [monotonicity #26806]: #26808 +#26743 := (iff #26636 #26748) +#26746 := (iff #26544 #26745) +#26742 := (iff #26560 #26759) +#26757 := (iff #26559 #26756) +#26758 := [rewrite]: #26757 +#26744 := [monotonicity #26758]: #26742 +#26747 := [monotonicity #26755 #26744]: #26746 +#26749 := [monotonicity #26747]: #26743 +#26811 := [monotonicity #26749 #26803]: #26810 +#26818 := [monotonicity #26811]: #26813 +#26822 := [monotonicity #26818]: #26820 +#26850 := [monotonicity #26822]: #26824 +#26853 := [monotonicity #26850]: #26852 +#26843 := [monotonicity #26853]: #26842 +#26845 := [trans #26843 #26839]: #26842 +#26841 := [quant-inst]: #26840 +#26846 := [mp #26841 #26845]: #26855 +#27857 := [unit-resolution #26846 #22514]: #26851 +#27023 := (not #26851) +#27960 := (or #27023 #26819) +#27858 := [hypothesis]: #23954 +decl uf_144 :: (-> T3 T3) +#24114 := (uf_144 #2952) +#26288 := (= #24114 #26287) +#26263 := (uf_48 #3011 #24114) +#26264 := (= uf_9 #26263) +#26290 := (iff #26264 #26288) +#26074 := (not #26290) +#26175 := [hypothesis]: #26074 +#1381 := (uf_15 #15) +#9506 := (= #233 #1381) +#11615 := (iff #9506 #11594) +#23676 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2662) #11615) +#11620 := (forall (vars (?x712 T5) (?x713 T3)) #11615) +#23679 := (iff #11620 #23676) +#23677 := (iff #11615 #11615) +#23678 := [refl]: #23677 +#23680 := [quant-intro #23678]: #23679 +#18739 := (~ #11620 #11620) +#18737 := (~ #11615 #11615) +#18738 := [refl]: #18737 +#18740 := [nnf-pos #18738]: #18739 +#1882 := (= #1381 #233) +#2668 := (iff #2663 #1882) +#2669 := (forall (vars (?x712 T5) (?x713 T3)) #2668) +#11621 := (iff #2669 #11620) +#11618 := (iff #2668 #11615) +#11611 := (iff #11594 #9506) +#11616 := (iff #11611 #11615) +#11617 := [rewrite]: #11616 +#11613 := (iff #2668 #11611) +#9507 := (iff #1882 #9506) +#9508 := [rewrite]: #9507 +#11614 := [monotonicity #11597 #9508]: #11613 +#11619 := [trans #11614 #11617]: #11618 +#11622 := [quant-intro #11619]: #11621 +#11610 := [asserted]: #2669 +#11625 := [mp #11610 #11622]: #11620 +#18741 := [mp~ #11625 #18740]: #11620 +#23681 := [mp #18741 #23680]: #23676 +#25432 := (not #23676) +#26067 := (or #25432 #26290) +#26289 := (iff #26288 #26264) +#26068 := (or #25432 #26289) +#26069 := (iff #26068 #26067) +#26065 := (iff #26067 #26067) +#26071 := [rewrite]: #26065 +#26291 := (iff #26289 #26290) +#26292 := [rewrite]: #26291 +#26070 := [monotonicity #26292]: #26069 +#26072 := [trans #26070 #26071]: #26069 +#26066 := [quant-inst]: #26068 +#26073 := [mp #26066 #26072]: #26067 +#26176 := [unit-resolution #26073 #23681 #26175]: false +#26214 := [lemma #26176]: #26290 +#26294 := (or #26074 #12361) +#26357 := (uf_116 #23223) +decl uf_138 :: (-> T3 int) +#26356 := (uf_138 #24114) +#26365 := (+ #26356 #26357) +#26368 := (uf_43 #24114 #26365) +#26561 := (uf_15 #26368) +#26308 := (= #26561 #26287) +#26304 := (= #26287 #26561) +#26302 := (= #3011 #26368) +#26346 := (uf_66 #23223 0::int #24114) +#26371 := (= #26346 #26368) +#26374 := (not #26371) +decl uf_139 :: (-> T5 T5 T2) +#26347 := (uf_139 #26346 #23223) +#26354 := (= uf_9 #26347) +#26355 := (not #26354) +#26380 := (or #26355 #26374) +#26385 := (not #26380) +#247 := (:var 1 int) +#1568 := (uf_66 #24 #247 #233) +#1569 := (pattern #1568) +#1576 := (uf_139 #1568 #24) +#8688 := (= uf_9 #1576) +#21652 := (not #8688) +#1571 := (uf_138 #233) +#1570 := (uf_116 #24) +#8678 := (+ #1570 #1571) +#8679 := (+ #247 #8678) +#8682 := (uf_43 #233 #8679) +#8685 := (= #1568 #8682) +#21651 := (not #8685) +#21653 := (or #21651 #21652) +#21654 := (not #21653) +#21657 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #21654) +#8691 := (and #8685 #8688) +#8694 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #8691) +#21658 := (iff #8694 #21657) +#21655 := (iff #8691 #21654) +#21656 := [rewrite]: #21655 +#21659 := [quant-intro #21656]: #21658 +#17817 := (~ #8694 #8694) +#17815 := (~ #8691 #8691) +#17816 := [refl]: #17815 +#17818 := [nnf-pos #17816]: #17817 +#1577 := (= #1576 uf_9) +#1572 := (+ #247 #1571) +#1573 := (+ #1570 #1572) +#1574 := (uf_43 #233 #1573) +#1575 := (= #1568 #1574) +#1578 := (and #1575 #1577) +#1579 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1569) #1578) +#8695 := (iff #1579 #8694) +#8692 := (iff #1578 #8691) +#8689 := (iff #1577 #8688) +#8690 := [rewrite]: #8689 +#8686 := (iff #1575 #8685) +#8683 := (= #1574 #8682) +#8680 := (= #1573 #8679) +#8681 := [rewrite]: #8680 +#8684 := [monotonicity #8681]: #8683 +#8687 := [monotonicity #8684]: #8686 +#8693 := [monotonicity #8687 #8690]: #8692 +#8696 := [quant-intro #8693]: #8695 +#8677 := [asserted]: #1579 +#8699 := [mp #8677 #8696]: #8694 +#17819 := [mp~ #8699 #17818]: #8694 +#21660 := [mp #17819 #21659]: #21657 +#26114 := (not #21657) +#26115 := (or #26114 #26385) +#26358 := (+ #26357 #26356) +#26359 := (+ 0::int #26358) +#26360 := (uf_43 #24114 #26359) +#26361 := (= #26346 #26360) +#26362 := (not #26361) +#26363 := (or #26362 #26355) +#26364 := (not #26363) +#26116 := (or #26114 #26364) +#26122 := (iff #26116 #26115) +#26125 := (iff #26115 #26115) +#26126 := [rewrite]: #26125 +#26386 := (iff #26364 #26385) +#26383 := (iff #26363 #26380) +#26377 := (or #26374 #26355) +#26381 := (iff #26377 #26380) +#26382 := [rewrite]: #26381 +#26378 := (iff #26363 #26377) +#26375 := (iff #26362 #26374) +#26372 := (iff #26361 #26371) +#26369 := (= #26360 #26368) +#26366 := (= #26359 #26365) +#26367 := [rewrite]: #26366 +#26370 := [monotonicity #26367]: #26369 +#26373 := [monotonicity #26370]: #26372 +#26376 := [monotonicity #26373]: #26375 +#26379 := [monotonicity #26376]: #26378 +#26384 := [trans #26379 #26382]: #26383 +#26387 := [monotonicity #26384]: #26386 +#26124 := [monotonicity #26387]: #26122 +#26127 := [trans #26124 #26126]: #26122 +#26117 := [quant-inst]: #26116 +#26128 := [mp #26117 #26127]: #26115 +#26282 := [unit-resolution #26128 #21660]: #26385 +#26130 := (or #26380 #26371) +#26131 := [def-axiom]: #26130 +#26283 := [unit-resolution #26131 #26282]: #26371 +#26285 := (= #3011 #26346) +#24115 := (= uf_7 #24114) +#1349 := (uf_124 #326 #161) +#1584 := (pattern #1349) +#1597 := (uf_144 #1349) +#8734 := (= #326 #1597) +#8738 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1584) #8734) +#17847 := (~ #8738 #8738) +#17845 := (~ #8734 #8734) +#17846 := [refl]: #17845 +#17848 := [nnf-pos #17846]: #17847 +#1598 := (= #1597 #326) +#1599 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1584) #1598) +#8739 := (iff #1599 #8738) +#8736 := (iff #1598 #8734) +#8737 := [rewrite]: #8736 +#8740 := [quant-intro #8737]: #8739 +#8733 := [asserted]: #1599 +#8743 := [mp #8733 #8740]: #8738 +#17849 := [mp~ #8743 #17848]: #8738 +#24118 := (not #8738) +#24119 := (or #24118 #24115) +#24120 := [quant-inst]: #24119 +#27681 := [unit-resolution #24120 #17849]: #24115 +#23226 := (= #2960 #23223) +#93 := (uf_29 #26) +#23593 := (pattern #93) +#94 := (uf_28 #93) +#3575 := (= #26 #94) +#23594 := (forall (vars (?x14 T5)) (:pat #23593) #3575) +#3578 := (forall (vars (?x14 T5)) #3575) +#23595 := (iff #3578 #23594) +#23597 := (iff #23594 #23594) +#23598 := [rewrite]: #23597 +#23596 := [rewrite]: #23595 +#23599 := [trans #23596 #23598]: #23595 +#16790 := (~ #3578 #3578) +#16780 := (~ #3575 #3575) +#16781 := [refl]: #16780 +#16851 := [nnf-pos #16781]: #16790 +#95 := (= #94 #26) +#96 := (forall (vars (?x14 T5)) #95) +#3579 := (iff #96 #3578) +#3576 := (iff #95 #3575) +#3577 := [rewrite]: #3576 +#3580 := [quant-intro #3577]: #3579 +#3574 := [asserted]: #96 +#3583 := [mp #3574 #3580]: #3578 +#16852 := [mp~ #3583 #16851]: #3578 +#23600 := [mp #16852 #23599]: #23594 +#23217 := (not #23594) +#23220 := (or #23217 #23226) +#23215 := [quant-inst]: #23220 +#26284 := [unit-resolution #23215 #23600]: #23226 +#26286 := [monotonicity #26284 #27681]: #26285 +#26303 := [trans #26286 #26283]: #26302 +#26305 := [monotonicity #26303]: #26304 +#26309 := [symm #26305]: #26308 +#26562 := (= #24114 #26561) +#26231 := (or #24181 #26562) +#26232 := [quant-inst]: #26231 +#26276 := [unit-resolution #26232 #23694]: #26562 +#26310 := [trans #26276 #26309]: #26288 +#26075 := (not #26288) +#26256 := [hypothesis]: #26290 +#26268 := (not #26264) +#26278 := (iff #18900 #26268) +#26267 := (iff #12361 #26264) +#26265 := (iff #26264 #12361) +#26258 := (= #26263 #3014) +#27682 := (= #24114 uf_7) +#27683 := [symm #27681]: #27682 +#26259 := [monotonicity #27683]: #26258 +#26266 := [monotonicity #26259]: #26265 +#26277 := [symm #26266]: #26267 +#26279 := [monotonicity #26277]: #26278 +#26257 := [hypothesis]: #18900 +#26280 := [mp #26257 #26279]: #26268 +#26106 := (or #26074 #26264 #26075) +#26108 := [def-axiom]: #26106 +#26281 := [unit-resolution #26108 #26280 #26256]: #26075 +#26311 := [unit-resolution #26281 #26310]: false +#26295 := [lemma #26311]: #26294 +#27925 := [unit-resolution #26295 #26214]: #12361 +#27926 := [hypothesis]: #23981 +#23241 := (or #23978 #23972) +#23222 := [def-axiom]: #23241 +#27936 := [unit-resolution #23222 #27926]: #23972 +decl uf_13 :: (-> T5 T6 T2) +decl uf_10 :: (-> T4 T5 T6) +#26039 := (uf_10 uf_273 #25404) +decl uf_143 :: (-> T3 int) +#24116 := (uf_143 #2952) +#26431 := (uf_124 #24114 #24116) +#26432 := (uf_43 #26431 #2961) +#26521 := (uf_13 #26432 #26039) +#26522 := (= uf_9 #26521) +#26040 := (uf_13 #25404 #26039) +#27955 := (= #26040 #26521) +#27949 := (= #26521 #26040) +#27947 := (= #26432 #25404) +#27934 := (= #26432 #2962) +#27932 := (= #26431 #2952) +#27923 := (= #24116 uf_272) +#24117 := (= uf_272 #24116) +#1594 := (uf_143 #1349) +#8727 := (= #161 #1594) +#8730 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1584) #8727) +#17842 := (~ #8730 #8730) +#17840 := (~ #8727 #8727) +#17841 := [refl]: #17840 +#17843 := [nnf-pos #17841]: #17842 +#1595 := (= #1594 #161) +#1596 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1584) #1595) +#8731 := (iff #1596 #8730) +#8728 := (iff #1595 #8727) +#8729 := [rewrite]: #8728 +#8732 := [quant-intro #8729]: #8731 +#8726 := [asserted]: #1596 +#8735 := [mp #8726 #8732]: #8730 +#17844 := [mp~ #8735 #17843]: #8730 +#24123 := (not #8730) +#24124 := (or #24123 #24117) +#24125 := [quant-inst]: #24124 +#27703 := [unit-resolution #24125 #17844]: #24117 +#27931 := [symm #27703]: #27923 +#27933 := [monotonicity #27683 #27931]: #27932 +#27935 := [monotonicity #27933]: #27934 +#27948 := [trans #27935 #27939]: #27947 +#27950 := [monotonicity #27948]: #27949 +#27953 := [symm #27950]: #27955 +#26041 := (= uf_9 #26040) +decl uf_53 :: (-> T4 T5 T6) +#26030 := (uf_53 uf_273 #25404) +#26031 := (uf_13 #26 #26030) +#26036 := (pattern #26031) +decl up_197 :: (-> T3 bool) +#26034 := (up_197 #25815) +#26032 := (= uf_9 #26031) +#26033 := (not #26032) +decl uf_147 :: (-> T5 T6 T2) +decl uf_192 :: (-> T7 T6) +decl uf_12 :: (-> T4 T5 T7) +#26026 := (uf_12 uf_273 #25404) +#26027 := (uf_192 #26026) +#26028 := (uf_147 #26 #26027) +#26029 := (= uf_9 #26028) +#26046 := (or #26029 #26033 #26034) +#26049 := (forall (vars (?x577 T5)) (:pat #26036) #26046) +#26052 := (not #26049) +#26042 := (not #26041) +#26055 := (or #25880 #26042 #26052) +#26058 := (not #26055) +#27945 := (= #3009 #25982) +#27946 := [symm #27943]: #27945 +#23240 := (or #23978 #12355) +#23229 := [def-axiom]: #23240 +#27938 := [unit-resolution #23229 #27926]: #12355 +#27924 := [trans #27938 #27946]: #25983 +#25988 := (or #26022 #25981 #25999) +#26021 := [def-axiom]: #25988 +#27927 := [unit-resolution #26021 #27924 #27937]: #25981 +#26061 := (or #26002 #26058) +#14 := (:var 2 T4) +#2162 := (uf_196 #14 #15 #26) +#2223 := (pattern #2162) +#2224 := (uf_53 #13 #24) +#2225 := (uf_13 #26 #2224) +#2226 := (pattern #2225) +#2154 := (uf_12 #13 #15) +#2231 := (uf_192 #2154) +#2232 := (uf_147 #26 #2231) +#10478 := (= uf_9 #2232) +#10467 := (= uf_9 #2225) +#22343 := (not #10467) +#1373 := (uf_15 #24) +#2228 := (up_197 #1373) +#22358 := (or #2228 #22343 #10478) +#22363 := (forall (vars (?x577 T5)) (:pat #2226) #22358) +#22369 := (not #22363) +#2140 := (uf_10 #14 #26) +#2141 := (uf_13 #15 #2140) +#10170 := (= uf_9 #2141) +#22177 := (not #10170) +#180 := (uf_24 #14 #15) +#3758 := (= uf_9 #180) +#10821 := (not #3758) +#22370 := (or #10821 #22177 #22369) +#22371 := (not #22370) +#10219 := (= uf_9 #2162) +#10502 := (not #10219) +#22376 := (or #10502 #22371) +#22379 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #22376) +#2229 := (not #2228) +#10473 := (and #2229 #10467) +#10484 := (not #10473) +#10485 := (or #10484 #10478) +#10490 := (forall (vars (?x577 T5)) (:pat #2226) #10485) +#10511 := (and #3758 #10170 #10490) +#10514 := (or #10502 #10511) +#10517 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #10514) +#22380 := (iff #10517 #22379) +#22377 := (iff #10514 #22376) +#22374 := (iff #10511 #22371) +#22366 := (and #3758 #10170 #22363) +#22372 := (iff #22366 #22371) +#22373 := [rewrite]: #22372 +#22367 := (iff #10511 #22366) +#22364 := (iff #10490 #22363) +#22361 := (iff #10485 #22358) +#22344 := (or #2228 #22343) +#22355 := (or #22344 #10478) +#22359 := (iff #22355 #22358) +#22360 := [rewrite]: #22359 +#22356 := (iff #10485 #22355) +#22353 := (iff #10484 #22344) +#22345 := (not #22344) +#22348 := (not #22345) +#22351 := (iff #22348 #22344) +#22352 := [rewrite]: #22351 +#22349 := (iff #10484 #22348) +#22346 := (iff #10473 #22345) +#22347 := [rewrite]: #22346 +#22350 := [monotonicity #22347]: #22349 +#22354 := [trans #22350 #22352]: #22353 +#22357 := [monotonicity #22354]: #22356 +#22362 := [trans #22357 #22360]: #22361 +#22365 := [quant-intro #22362]: #22364 +#22368 := [monotonicity #22365]: #22367 +#22375 := [trans #22368 #22373]: #22374 +#22378 := [monotonicity #22375]: #22377 +#22381 := [quant-intro #22378]: #22380 +#18361 := (~ #10517 #10517) +#18359 := (~ #10514 #10514) +#18357 := (~ #10511 #10511) +#18355 := (~ #10490 #10490) +#18353 := (~ #10485 #10485) +#18354 := [refl]: #18353 +#18356 := [nnf-pos #18354]: #18355 +#18351 := (~ #10170 #10170) +#18352 := [refl]: #18351 +#18349 := (~ #3758 #3758) +#18350 := [refl]: #18349 +#18358 := [monotonicity #18350 #18352 #18356]: #18357 +#18347 := (~ #10502 #10502) +#18348 := [refl]: #18347 +#18360 := [monotonicity #18348 #18358]: #18359 +#18362 := [nnf-pos #18360]: #18361 +#2145 := (= #2141 uf_9) +#184 := (= #180 uf_9) +#2236 := (and #184 #2145) +#2233 := (= #2232 uf_9) +#2227 := (= #2225 uf_9) +#2230 := (and #2227 #2229) +#2234 := (implies #2230 #2233) +#2235 := (forall (vars (?x577 T5)) (:pat #2226) #2234) +#2237 := (and #2235 #2236) +#2163 := (= #2162 uf_9) +#2238 := (implies #2163 #2237) +#2239 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #2238) +#10520 := (iff #2239 #10517) +#10493 := (and #3758 #10170) +#10496 := (and #10490 #10493) +#10503 := (or #10502 #10496) +#10508 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2223) #10503) +#10518 := (iff #10508 #10517) +#10515 := (iff #10503 #10514) +#10512 := (iff #10496 #10511) +#10513 := [rewrite]: #10512 +#10516 := [monotonicity #10513]: #10515 +#10519 := [quant-intro #10516]: #10518 +#10509 := (iff #2239 #10508) +#10506 := (iff #2238 #10503) +#10499 := (implies #10219 #10496) +#10504 := (iff #10499 #10503) +#10505 := [rewrite]: #10504 +#10500 := (iff #2238 #10499) +#10497 := (iff #2237 #10496) +#10494 := (iff #2236 #10493) +#10171 := (iff #2145 #10170) +#10172 := [rewrite]: #10171 +#3759 := (iff #184 #3758) +#3760 := [rewrite]: #3759 +#10495 := [monotonicity #3760 #10172]: #10494 +#10491 := (iff #2235 #10490) +#10488 := (iff #2234 #10485) +#10481 := (implies #10473 #10478) +#10486 := (iff #10481 #10485) +#10487 := [rewrite]: #10486 +#10482 := (iff #2234 #10481) +#10479 := (iff #2233 #10478) +#10480 := [rewrite]: #10479 +#10476 := (iff #2230 #10473) +#10470 := (and #10467 #2229) +#10474 := (iff #10470 #10473) +#10475 := [rewrite]: #10474 +#10471 := (iff #2230 #10470) +#10468 := (iff #2227 #10467) +#10469 := [rewrite]: #10468 +#10472 := [monotonicity #10469]: #10471 +#10477 := [trans #10472 #10475]: #10476 +#10483 := [monotonicity #10477 #10480]: #10482 +#10489 := [trans #10483 #10487]: #10488 +#10492 := [quant-intro #10489]: #10491 +#10498 := [monotonicity #10492 #10495]: #10497 +#10220 := (iff #2163 #10219) +#10221 := [rewrite]: #10220 +#10501 := [monotonicity #10221 #10498]: #10500 +#10507 := [trans #10501 #10505]: #10506 +#10510 := [quant-intro #10507]: #10509 +#10521 := [trans #10510 #10519]: #10520 +#10466 := [asserted]: #2239 +#10522 := [mp #10466 #10521]: #10517 +#18363 := [mp~ #10522 #18362]: #10517 +#22382 := [mp #18363 #22381]: #22379 +#26123 := (not #22379) +#26129 := (or #26123 #26002 #26058) +#26035 := (or #26034 #26033 #26029) +#26037 := (forall (vars (?x577 T5)) (:pat #26036) #26035) +#26038 := (not #26037) +#26043 := (or #25880 #26042 #26038) +#26044 := (not #26043) +#26045 := (or #26002 #26044) +#26132 := (or #26123 #26045) +#26147 := (iff #26132 #26129) +#26144 := (or #26123 #26061) +#26145 := (iff #26144 #26129) +#26146 := [rewrite]: #26145 +#26142 := (iff #26132 #26144) +#26062 := (iff #26045 #26061) +#26059 := (iff #26044 #26058) +#26056 := (iff #26043 #26055) +#26053 := (iff #26038 #26052) +#26050 := (iff #26037 #26049) +#26047 := (iff #26035 #26046) +#26048 := [rewrite]: #26047 +#26051 := [quant-intro #26048]: #26050 +#26054 := [monotonicity #26051]: #26053 +#26057 := [monotonicity #26054]: #26056 +#26060 := [monotonicity #26057]: #26059 +#26063 := [monotonicity #26060]: #26062 +#26143 := [monotonicity #26063]: #26142 +#26148 := [trans #26143 #26146]: #26147 +#26133 := [quant-inst]: #26132 +#26149 := [mp #26133 #26148]: #26129 +#27928 := [unit-resolution #26149 #22382]: #26061 +#27929 := [unit-resolution #27928 #27927]: #26058 +#26216 := (or #26055 #26041) +#26217 := [def-axiom]: #26216 +#27930 := [unit-resolution #26217 #27929]: #26041 +#27956 := [trans #27930 #27953]: #26522 +#26523 := (not #26522) +#26711 := (or #12358 #26523) +#26511 := (uf_43 #24114 #2961) +#26512 := (uf_66 #26511 0::int #24114) +#26513 := (uf_27 uf_273 #26512) +#26514 := (= uf_9 #26513) +#26515 := (not #26514) +#26678 := (iff #18897 #26515) +#26674 := (iff #12358 #26514) +#26675 := (iff #26514 #12358) +#26687 := (= #26513 #3012) +#26683 := (= #26512 #3011) +#27689 := (= #26511 #2960) +#27687 := (= #2961 uf_274) +#24233 := (= uf_274 #2961) +#2693 := (uf_116 #2692) +#11669 := (= #161 #2693) +#23683 := (forall (vars (?x718 T3) (?x719 int)) (:pat #23682) #11669) +#11673 := (forall (vars (?x718 T3) (?x719 int)) #11669) +#23686 := (iff #11673 #23683) +#23684 := (iff #11669 #11669) +#23685 := [refl]: #23684 +#23687 := [quant-intro #23685]: #23686 +#18754 := (~ #11673 #11673) +#18752 := (~ #11669 #11669) +#18753 := [refl]: #18752 +#18755 := [nnf-pos #18753]: #18754 +#2694 := (= #2693 #161) +#2695 := (forall (vars (?x718 T3) (?x719 int)) #2694) +#11674 := (iff #2695 #11673) +#11671 := (iff #2694 #11669) +#11672 := [rewrite]: #11671 +#11675 := [quant-intro #11672]: #11674 +#11668 := [asserted]: #2695 +#11678 := [mp #11668 #11675]: #11673 +#18756 := [mp~ #11678 #18755]: #11673 +#23688 := [mp #18756 #23687]: #23683 +#24187 := (not #23683) +#24238 := (or #24187 #24233) +#24239 := [quant-inst]: #24238 +#27686 := [unit-resolution #24239 #23688]: #24233 +#27688 := [symm #27686]: #27687 +#27690 := [monotonicity #27683 #27688]: #27689 +#26686 := [monotonicity #27690 #27683]: #26683 +#26688 := [monotonicity #26686]: #26687 +#26676 := [monotonicity #26688]: #26675 +#26677 := [symm #26676]: #26674 +#26679 := [monotonicity #26677]: #26678 +#26638 := [hypothesis]: #18897 +#26680 := [mp #26638 #26679]: #26515 +#26516 := (uf_58 #3079 #26512) +#26517 := (uf_135 #26516) +#26518 := (= uf_9 #26517) +#26528 := (or #26515 #26518) +#26531 := (not #26528) +decl uf_23 :: (-> T3 T2) +#26524 := (uf_23 #24114) +#26525 := (= uf_9 #26524) +#2778 := (uf_23 uf_7) +#27721 := (= #2778 #26524) +#27718 := (= #26524 #2778) +#27719 := [monotonicity #27683]: #27718 +#27722 := [symm #27719]: #27721 +#11835 := (= uf_9 #2778) +#2779 := (= #2778 uf_9) +#11837 := (iff #2779 #11835) +#11838 := [rewrite]: #11837 +#11834 := [asserted]: #2779 +#11841 := [mp #11834 #11838]: #11835 +#27723 := [trans #11841 #27722]: #26525 +#26526 := (not #26525) +#26708 := (or #26526 #26531) +#27724 := [hypothesis]: #26522 +#26469 := (<= #24116 0::int) +#26682 := (not #26469) +#14790 := [not-or-elim #14776]: #13943 +#26452 := (* -1::int #24116) +#26584 := (+ uf_272 #26452) +#26585 := (<= #26584 0::int) +#27704 := (not #24117) +#27705 := (or #27704 #26585) +#27706 := [th-lemma]: #27705 +#27707 := [unit-resolution #27706 #27703]: #26585 +#27713 := (not #26585) +#26698 := (or #26682 #13942 #27713) +#26699 := [th-lemma]: #26698 +#26707 := [unit-resolution #26699 #27707 #14790]: #26682 +#237 := (uf_23 #233) +#758 := (:var 4 int) +#2062 := (uf_43 #233 #758) +#2063 := (uf_66 #2062 #247 #233) +#1364 := (:var 5 T4) +#2080 := (uf_25 #1364 #2063) +#1356 := (:var 3 T5) +#2060 := (uf_10 #1364 #1356) +#268 := (:var 2 int) +#2058 := (uf_124 #233 #268) +#2059 := (uf_43 #2058 #758) +#2061 := (uf_13 #2059 #2060) +#2081 := (pattern #2061 #2080 #237) +#1535 := (uf_59 #1364) +#2078 := (uf_58 #1535 #2063) +#2079 := (pattern #2061 #2078 #237) +#2085 := (uf_27 #1364 #2063) +#9989 := (= uf_9 #2085) +#22088 := (not #9989) +#2082 := (uf_135 #2078) +#9983 := (= uf_9 #2082) +#22089 := (or #9983 #22088) +#22090 := (not #22089) +#2067 := (uf_55 #1364) +#9932 := (= uf_9 #2067) +#22064 := (not #9932) +#9929 := (= uf_9 #2061) +#22063 := (not #9929) +#4079 := (* -1::int #268) +#6249 := (+ #247 #4079) +#6838 := (>= #6249 0::int) +#4346 := (>= #247 0::int) +#20033 := (not #4346) +#3963 := (= uf_9 #237) +#10698 := (not #3963) +#22096 := (or #10698 #20033 #6838 #22063 #22064 #22090) +#22101 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #22096) +#9986 := (not #9983) +#9992 := (and #9986 #9989) +#8189 := (not #6838) +#9965 := (and #3963 #4346 #8189 #9929 #9932) +#9970 := (not #9965) +#10006 := (or #9970 #9992) +#10009 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #10006) +#22102 := (iff #10009 #22101) +#22099 := (iff #10006 #22096) +#22065 := (or #10698 #20033 #6838 #22063 #22064) +#22093 := (or #22065 #22090) +#22097 := (iff #22093 #22096) +#22098 := [rewrite]: #22097 +#22094 := (iff #10006 #22093) +#22091 := (iff #9992 #22090) +#22092 := [rewrite]: #22091 +#22074 := (iff #9970 #22065) +#22066 := (not #22065) +#22069 := (not #22066) +#22072 := (iff #22069 #22065) +#22073 := [rewrite]: #22072 +#22070 := (iff #9970 #22069) +#22067 := (iff #9965 #22066) +#22068 := [rewrite]: #22067 +#22071 := [monotonicity #22068]: #22070 +#22075 := [trans #22071 #22073]: #22074 +#22095 := [monotonicity #22075 #22092]: #22094 +#22100 := [trans #22095 #22098]: #22099 +#22103 := [quant-intro #22100]: #22102 +#18227 := (~ #10009 #10009) +#18225 := (~ #10006 #10006) +#18226 := [refl]: #18225 +#18228 := [nnf-pos #18226]: #18227 +#2086 := (= #2085 uf_9) +#2083 := (= #2082 uf_9) +#2084 := (not #2083) +#2087 := (and #2084 #2086) +#2068 := (= #2067 uf_9) +#238 := (= #237 uf_9) +#2069 := (and #238 #2068) +#2066 := (= #2061 uf_9) +#2070 := (and #2066 #2069) +#400 := (<= 0::int #247) +#2071 := (and #400 #2070) +#1425 := (< #247 #268) +#2072 := (and #1425 #2071) +#2088 := (implies #2072 #2087) +#2089 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #2088) +#10012 := (iff #2089 #10009) +#9935 := (and #3963 #9932) +#9938 := (and #9929 #9935) +#9941 := (and #400 #9938) +#9944 := (and #1425 #9941) +#9950 := (not #9944) +#9998 := (or #9950 #9992) +#10003 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2079 #2081) #9998) +#10010 := (iff #10003 #10009) +#10007 := (iff #9998 #10006) +#9971 := (iff #9950 #9970) +#9968 := (iff #9944 #9965) +#9959 := (and #4346 #9938) +#9962 := (and #8189 #9959) +#9966 := (iff #9962 #9965) +#9967 := [rewrite]: #9966 +#9963 := (iff #9944 #9962) +#9960 := (iff #9941 #9959) +#4345 := (iff #400 #4346) +#4347 := [rewrite]: #4345 +#9961 := [monotonicity #4347]: #9960 +#8190 := (iff #1425 #8189) +#8191 := [rewrite]: #8190 +#9964 := [monotonicity #8191 #9961]: #9963 +#9969 := [trans #9964 #9967]: #9968 +#9972 := [monotonicity #9969]: #9971 +#10008 := [monotonicity #9972]: #10007 +#10011 := [quant-intro #10008]: #10010 +#10004 := (iff #2089 #10003) +#10001 := (iff #2088 #9998) +#9995 := (implies #9944 #9992) +#9999 := (iff #9995 #9998) +#10000 := [rewrite]: #9999 +#9996 := (iff #2088 #9995) +#9993 := (iff #2087 #9992) +#9990 := (iff #2086 #9989) +#9991 := [rewrite]: #9990 +#9987 := (iff #2084 #9986) +#9984 := (iff #2083 #9983) +#9985 := [rewrite]: #9984 +#9988 := [monotonicity #9985]: #9987 +#9994 := [monotonicity #9988 #9991]: #9993 +#9945 := (iff #2072 #9944) +#9942 := (iff #2071 #9941) +#9939 := (iff #2070 #9938) +#9936 := (iff #2069 #9935) +#9933 := (iff #2068 #9932) +#9934 := [rewrite]: #9933 +#3964 := (iff #238 #3963) +#3965 := [rewrite]: #3964 +#9937 := [monotonicity #3965 #9934]: #9936 +#9930 := (iff #2066 #9929) +#9931 := [rewrite]: #9930 +#9940 := [monotonicity #9931 #9937]: #9939 +#9943 := [monotonicity #9940]: #9942 +#9946 := [monotonicity #9943]: #9945 +#9997 := [monotonicity #9946 #9994]: #9996 +#10002 := [trans #9997 #10000]: #10001 +#10005 := [quant-intro #10002]: #10004 +#10013 := [trans #10005 #10011]: #10012 +#9982 := [asserted]: #2089 +#10014 := [mp #9982 #10013]: #10009 +#18229 := [mp~ #10014 #18228]: #10009 +#22104 := [mp #18229 #22103]: #22101 +#26542 := (not #22101) +#26613 := (or #26542 #23209 #26469 #26523 #26526 #26531) +#26519 := (or #26518 #26515) +#26520 := (not #26519) +#26453 := (+ 0::int #26452) +#26454 := (>= #26453 0::int) +#26455 := (>= 0::int 0::int) +#26456 := (not #26455) +#26527 := (or #26526 #26456 #26454 #26523 #23209 #26520) +#26614 := (or #26542 #26527) +#26601 := (iff #26614 #26613) +#26537 := (or #23209 #26469 #26523 #26526 #26531) +#26616 := (or #26542 #26537) +#26619 := (iff #26616 #26613) +#26620 := [rewrite]: #26619 +#26617 := (iff #26614 #26616) +#26540 := (iff #26527 #26537) +#26534 := (or #26526 false #26469 #26523 #23209 #26531) +#26538 := (iff #26534 #26537) +#26539 := [rewrite]: #26538 +#26535 := (iff #26527 #26534) +#26532 := (iff #26520 #26531) +#26529 := (iff #26519 #26528) +#26530 := [rewrite]: #26529 +#26533 := [monotonicity #26530]: #26532 +#26472 := (iff #26454 #26469) +#26466 := (>= #26452 0::int) +#26470 := (iff #26466 #26469) +#26471 := [rewrite]: #26470 +#26467 := (iff #26454 #26466) +#26464 := (= #26453 #26452) +#26465 := [rewrite]: #26464 +#26468 := [monotonicity #26465]: #26467 +#26473 := [trans #26468 #26471]: #26472 +#26462 := (iff #26456 false) +#26460 := (iff #26456 #3294) +#26458 := (iff #26455 true) +#26459 := [rewrite]: #26458 +#26461 := [monotonicity #26459]: #26460 +#26463 := [trans #26461 #13445]: #26462 +#26536 := [monotonicity #26463 #26473 #26533]: #26535 +#26541 := [trans #26536 #26539]: #26540 +#26618 := [monotonicity #26541]: #26617 +#26602 := [trans #26618 #26620]: #26601 +#26615 := [quant-inst]: #26614 +#26603 := [mp #26615 #26602]: #26613 +#26706 := [unit-resolution #26603 #22104 #14784 #26707 #27724]: #26708 +#26709 := [unit-resolution #26706 #27723]: #26531 +#26604 := (or #26528 #26514) +#26605 := [def-axiom]: #26604 +#26710 := [unit-resolution #26605 #26709 #26680]: false +#26712 := [lemma #26710]: #26711 +#27952 := [unit-resolution #26712 #27956]: #12358 +#23238 := (or #23975 #18897 #18900 #23969) +#23239 := [def-axiom]: #23238 +#27957 := [unit-resolution #23239 #27952 #27925 #27936]: #23969 +#23252 := (or #23966 #23960) +#23263 := [def-axiom]: #23252 +#27958 := [unit-resolution #23263 #27957]: #23960 +#23245 := (or #23963 #18900 #18906 #23957) +#23258 := [def-axiom]: #23245 +#27959 := [unit-resolution #23258 #27958 #27925 #27858]: #18906 +#27024 := (or #27023 #12367 #26819) +#27025 := [def-axiom]: #27024 +#27961 := [unit-resolution #27025 #27959]: #27960 +#27962 := [unit-resolution #27961 #27857]: #26819 +#27902 := (or #26823 #26812) +#26997 := (or #26823 #18897 #26812) +#26998 := [def-axiom]: #26997 +#27904 := [unit-resolution #26998 #27952]: #27902 +#27905 := [unit-resolution #27904 #27962]: #26812 +#26956 := (or #26809 #26796) +#26991 := [def-axiom]: #26956 +#27903 := [unit-resolution #26991 #27905]: #26796 +#27585 := (not #26518) +#27980 := (iff #27585 #26552) +#27976 := (iff #26518 #26551) +#27987 := (= #26517 #26546) +#27910 := (= #26516 #26312) +#27911 := [monotonicity #26686]: #27910 +#27988 := [monotonicity #27911]: #27987 +#27979 := [monotonicity #27988]: #27976 +#27981 := [monotonicity #27979]: #27980 +#27907 := [unit-resolution #26603 #22104 #14784 #26707 #27956]: #26708 +#27908 := [unit-resolution #27907 #27723]: #26531 +#27597 := (or #26528 #27585) +#27598 := [def-axiom]: #27597 +#27909 := [unit-resolution #27598 #27908]: #27585 +#27982 := [mp #27909 #27981]: #26552 +#26910 := (or #26788 #26551) +#26911 := [def-axiom]: #26910 +#27983 := [unit-resolution #26911 #27982]: #26788 +#24653 := (uf_14 uf_7) +#27977 := (= #24653 #26634) +#27985 := (= #26634 #24653) +#27991 := (= #26287 uf_7) +#27989 := (= #26287 #24114) +#28002 := [mp #27925 #26277]: #26264 +#26014 := (or #26074 #26268 #26288) +#26016 := [def-axiom]: #26014 +#27986 := [unit-resolution #26016 #28002 #26214]: #26288 +#27990 := [symm #27986]: #27989 +#27992 := [trans #27990 #27683]: #27991 +#27993 := [monotonicity #27992]: #27985 +#27978 := [symm #27993]: #27977 +#24654 := (= uf_16 #24653) +#24661 := (iff #11835 #24654) +#2303 := (pattern #237) +#2831 := (uf_14 #233) +#12008 := (= uf_16 #2831) +#12012 := (iff #3963 #12008) +#12015 := (forall (vars (?x761 T3)) (:pat #2303) #12012) +#18854 := (~ #12015 #12015) +#18852 := (~ #12012 #12012) +#18853 := [refl]: #18852 +#18855 := [nnf-pos #18853]: #18854 +#2844 := (= #2831 uf_16) +#2845 := (iff #238 #2844) +#2846 := (forall (vars (?x761 T3)) (:pat #2303) #2845) +#12016 := (iff #2846 #12015) +#12013 := (iff #2845 #12012) +#12010 := (iff #2844 #12008) +#12011 := [rewrite]: #12010 +#12014 := [monotonicity #3965 #12011]: #12013 +#12017 := [quant-intro #12014]: #12016 +#12007 := [asserted]: #2846 +#12020 := [mp #12007 #12017]: #12015 +#18856 := [mp~ #12020 #18855]: #12015 +#24285 := (not #12015) +#24664 := (or #24285 #24661) +#24665 := [quant-inst]: #24664 +#27984 := [unit-resolution #24665 #18856]: #24661 +#24666 := (not #24661) +#28001 := (or #24666 #24654) +#24670 := (not #11835) +#24671 := (or #24666 #24670 #24654) +#24672 := [def-axiom]: #24671 +#28003 := [unit-resolution #24672 #11841]: #28001 +#28004 := [unit-resolution #28003 #27984]: #24654 +#28005 := [trans #28004 #27978]: #26726 +#26958 := (not #26629) +#28390 := (iff #12299 #26958) +#28388 := (iff #12296 #26629) +#28355 := (iff #26629 #12296) +#28362 := (= #26609 #2955) +#28360 := (= #26608 #2952) +#28357 := (= #26608 #24234) +#28329 := (= #26553 #2962) +#28302 := (= #26553 #26432) +#26435 := (uf_66 #26432 0::int #24114) +#26436 := (uf_58 #3079 #26435) +#26437 := (uf_136 #26436) +#28300 := (= #26437 #26432) +#26438 := (= #26432 #26437) +decl up_68 :: (-> T14 bool) +#26445 := (up_68 #26436) +#26446 := (not #26445) +#26442 := (uf_27 uf_273 #26435) +#26443 := (= uf_9 #26442) +#26444 := (not #26443) +#26440 := (uf_135 #26436) +#26441 := (= uf_9 #26440) +#26439 := (not #26438) +#26474 := (or #26439 #26441 #26444 #26446) +#26477 := (not #26474) +#26449 := (uf_27 uf_273 #26432) +#26450 := (= uf_9 #26449) +#28032 := (= #2963 #26449) +#28007 := (= #26449 #2963) +#28013 := [monotonicity #27935]: #28007 +#28033 := [symm #28013]: #28032 +#28031 := [trans #14797 #28033]: #26450 +#26451 := (not #26450) +#28034 := (or #26451 #26477) +#276 := (:var 3 int) +#310 := (:var 2 T3) +#1463 := (uf_124 #310 #247) +#1464 := (uf_43 #1463 #276) +#1460 := (uf_43 #310 #276) +#1461 := (uf_66 #1460 #161 #310) +#38 := (:var 4 T4) +#1466 := (uf_59 #38) +#1467 := (uf_58 #1466 #1461) +#1468 := (pattern #1467 #1464) +#1459 := (uf_41 #38) +#1462 := (uf_40 #1459 #1461) +#1465 := (pattern #1462 #1464) +#1471 := (uf_66 #1464 #161 #310) +#1474 := (uf_58 #1466 #1471) +#1479 := (uf_136 #1474) +#8354 := (= #1464 #1479) +#21428 := (not #8354) +#1476 := (uf_135 #1474) +#8348 := (= uf_9 #1476) +#1472 := (uf_27 #38 #1471) +#8345 := (= uf_9 #1472) +#21427 := (not #8345) +#1475 := (up_68 #1474) +#21426 := (not #1475) +#21429 := (or #21426 #21427 #8348 #21428) +#21430 := (not #21429) +#1469 := (uf_27 #38 #1464) +#8342 := (= uf_9 #1469) +#8377 := (not #8342) +#5373 := (* -1::int #247) +#6256 := (+ #161 #5373) +#6255 := (>= #6256 0::int) +#21436 := (or #5113 #6255 #8377 #21430) +#21441 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #21436) +#8351 := (not #8348) +#8386 := (and #1475 #8345 #8351 #8354) +#8026 := (not #6255) +#8029 := (and #4084 #8026) +#8032 := (not #8029) +#8395 := (or #8032 #8377 #8386) +#8400 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #8395) +#21442 := (iff #8400 #21441) +#21439 := (iff #8395 #21436) +#21311 := (or #5113 #6255) +#21433 := (or #21311 #8377 #21430) +#21437 := (iff #21433 #21436) +#21438 := [rewrite]: #21437 +#21434 := (iff #8395 #21433) +#21431 := (iff #8386 #21430) +#21432 := [rewrite]: #21431 +#21320 := (iff #8032 #21311) +#21312 := (not #21311) +#21315 := (not #21312) +#21318 := (iff #21315 #21311) +#21319 := [rewrite]: #21318 +#21316 := (iff #8032 #21315) +#21313 := (iff #8029 #21312) +#21314 := [rewrite]: #21313 +#21317 := [monotonicity #21314]: #21316 +#21321 := [trans #21317 #21319]: #21320 +#21435 := [monotonicity #21321 #21432]: #21434 +#21440 := [trans #21435 #21438]: #21439 +#21443 := [quant-intro #21440]: #21442 +#17588 := (~ #8400 #8400) +#17586 := (~ #8395 #8395) +#17587 := [refl]: #17586 +#17589 := [nnf-pos #17587]: #17588 +#1480 := (= #1479 #1464) +#1477 := (= #1476 uf_9) +#1478 := (not #1477) +#1481 := (and #1478 #1480) +#1482 := (and #1475 #1481) +#1473 := (= #1472 uf_9) +#1483 := (and #1473 #1482) +#1362 := (< #161 #247) +#1363 := (and #1362 #285) +#1484 := (implies #1363 #1483) +#1470 := (= #1469 uf_9) +#1485 := (implies #1470 #1484) +#1486 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #1485) +#8403 := (iff #1486 #8400) +#8357 := (and #8351 #8354) +#8360 := (and #1475 #8357) +#8363 := (and #8345 #8360) +#7987 := (and #285 #1362) +#7996 := (not #7987) +#8369 := (or #7996 #8363) +#8378 := (or #8377 #8369) +#8383 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1465 #1468) #8378) +#8401 := (iff #8383 #8400) +#8398 := (iff #8378 #8395) +#8389 := (or #8032 #8386) +#8392 := (or #8377 #8389) +#8396 := (iff #8392 #8395) +#8397 := [rewrite]: #8396 +#8393 := (iff #8378 #8392) +#8390 := (iff #8369 #8389) +#8387 := (iff #8363 #8386) +#8388 := [rewrite]: #8387 +#8033 := (iff #7996 #8032) +#8030 := (iff #7987 #8029) +#8027 := (iff #1362 #8026) +#8028 := [rewrite]: #8027 +#8031 := [monotonicity #4085 #8028]: #8030 +#8034 := [monotonicity #8031]: #8033 +#8391 := [monotonicity #8034 #8388]: #8390 +#8394 := [monotonicity #8391]: #8393 +#8399 := [trans #8394 #8397]: #8398 +#8402 := [quant-intro #8399]: #8401 +#8384 := (iff #1486 #8383) +#8381 := (iff #1485 #8378) +#8374 := (implies #8342 #8369) +#8379 := (iff #8374 #8378) +#8380 := [rewrite]: #8379 +#8375 := (iff #1485 #8374) +#8372 := (iff #1484 #8369) +#8366 := (implies #7987 #8363) +#8370 := (iff #8366 #8369) +#8371 := [rewrite]: #8370 +#8367 := (iff #1484 #8366) +#8364 := (iff #1483 #8363) +#8361 := (iff #1482 #8360) +#8358 := (iff #1481 #8357) +#8355 := (iff #1480 #8354) +#8356 := [rewrite]: #8355 +#8352 := (iff #1478 #8351) +#8349 := (iff #1477 #8348) +#8350 := [rewrite]: #8349 +#8353 := [monotonicity #8350]: #8352 +#8359 := [monotonicity #8353 #8356]: #8358 +#8362 := [monotonicity #8359]: #8361 +#8346 := (iff #1473 #8345) +#8347 := [rewrite]: #8346 +#8365 := [monotonicity #8347 #8362]: #8364 +#7988 := (iff #1363 #7987) +#7989 := [rewrite]: #7988 +#8368 := [monotonicity #7989 #8365]: #8367 +#8373 := [trans #8368 #8371]: #8372 +#8343 := (iff #1470 #8342) +#8344 := [rewrite]: #8343 +#8376 := [monotonicity #8344 #8373]: #8375 +#8382 := [trans #8376 #8380]: #8381 +#8385 := [quant-intro #8382]: #8384 +#8404 := [trans #8385 #8402]: #8403 +#8341 := [asserted]: #1486 +#8405 := [mp #8341 #8404]: #8400 +#17590 := [mp~ #8405 #17589]: #8400 +#21444 := [mp #17590 #21443]: #21441 +#27098 := (not #21441) +#27099 := (or #27098 #26451 #26469 #26477) +#26447 := (or #26446 #26444 #26441 #26439) +#26448 := (not #26447) +#26457 := (or #26456 #26454 #26451 #26448) +#27111 := (or #27098 #26457) +#27522 := (iff #27111 #27099) +#26483 := (or #26451 #26469 #26477) +#27450 := (or #27098 #26483) +#27435 := (iff #27450 #27099) +#27448 := [rewrite]: #27435 +#27451 := (iff #27111 #27450) +#26486 := (iff #26457 #26483) +#26480 := (or false #26469 #26451 #26477) +#26484 := (iff #26480 #26483) +#26485 := [rewrite]: #26484 +#26481 := (iff #26457 #26480) +#26478 := (iff #26448 #26477) +#26475 := (iff #26447 #26474) +#26476 := [rewrite]: #26475 +#26479 := [monotonicity #26476]: #26478 +#26482 := [monotonicity #26463 #26473 #26479]: #26481 +#26487 := [trans #26482 #26485]: #26486 +#27428 := [monotonicity #26487]: #27451 +#27523 := [trans #27428 #27448]: #27522 +#27449 := [quant-inst]: #27111 +#27524 := [mp #27449 #27523]: #27099 +#28015 := [unit-resolution #27524 #21444 #26707]: #28034 +#28035 := [unit-resolution #28015 #28031]: #26477 +#27525 := (or #26474 #26438) +#27526 := [def-axiom]: #27525 +#28036 := [unit-resolution #27526 #28035]: #26438 +#28301 := [symm #28036]: #28300 +#28299 := (= #26553 #26437) +#28298 := (= #26312 #26436) +#28308 := (= #26436 #26312) +#28325 := (= #26435 #3011) +#26269 := (uf_116 #3011) +#26270 := (uf_43 #24114 #26269) +#28320 := (= #26270 #3011) +#26271 := (= #3011 #26270) +#26500 := (or #25416 #26268 #26271) +#26272 := (or #26271 #26268) +#26501 := (or #25416 #26272) +#26508 := (iff #26501 #26500) +#26273 := (or #26268 #26271) +#26503 := (or #25416 #26273) +#26506 := (iff #26503 #26500) +#26507 := [rewrite]: #26506 +#26504 := (iff #26501 #26503) +#26274 := (iff #26272 #26273) +#26275 := [rewrite]: #26274 +#26505 := [monotonicity #26275]: #26504 +#26509 := [trans #26505 #26507]: #26508 +#26502 := [quant-inst]: #26501 +#26396 := [mp #26502 #26509]: #26500 +#28037 := [unit-resolution #26396 #18736 #28002]: #26271 +#28321 := [symm #28037]: #28320 +#28324 := (= #26435 #26270) +#26643 := (uf_116 #25404) +#26651 := (+ #26356 #26643) +#26654 := (uf_43 #24114 #26651) +#28304 := (= #26654 #26270) +#28237 := (= #26651 #26269) +#26563 := (uf_116 #26368) +#28283 := (= #26563 #26269) +#28058 := (= #26368 #3011) +#28056 := (= #26346 #3011) +#28038 := (= #23223 #2960) +#28039 := [symm #26284]: #28038 +#28057 := [monotonicity #28039 #27683]: #28056 +#28040 := (= #26368 #26346) +#28050 := [symm #26283]: #28040 +#28059 := [trans #28050 #28057]: #28058 +#28284 := [monotonicity #28059]: #28283 +#28282 := (= #26651 #26563) +#28272 := (= #26563 #26651) +#27071 := (* -1::int #26357) +#27072 := (+ #24016 #27071) +#27073 := (<= #27072 0::int) +#27070 := (= #24016 #26357) +#28067 := (= #2961 #26357) +#28087 := (= #26357 #2961) +#28088 := [monotonicity #28039]: #28087 +#28068 := [symm #28088]: #28067 +#28085 := (= #24016 #2961) +#24240 := (= #2961 #24016) +#24245 := (or #24187 #24240) +#24246 := [quant-inst]: #24245 +#28060 := [unit-resolution #24246 #23688]: #24240 +#28086 := [symm #28060]: #28085 +#28069 := [trans #28086 #28068]: #27070 +#28070 := (not #27070) +#28049 := (or #28070 #27073) +#28066 := [th-lemma]: #28049 +#28051 := [unit-resolution #28066 #28069]: #27073 +#27068 := (>= #27072 0::int) +#28052 := (or #28070 #27068) +#28053 := [th-lemma]: #28052 +#28054 := [unit-resolution #28053 #28069]: #27068 +#26567 := (* -1::int #26563) +#26568 := (+ #26357 #26567) +#26569 := (+ #26356 #26568) +#27092 := (<= #26569 0::int) +#26570 := (= #26569 0::int) +#27074 := (or #24187 #26570) +#26564 := (= #26365 #26563) +#27075 := (or #24187 #26564) +#27077 := (iff #27075 #27074) +#27083 := (iff #27074 #27074) +#27084 := [rewrite]: #27083 +#26571 := (iff #26564 #26570) +#26572 := [rewrite]: #26571 +#27078 := [monotonicity #26572]: #27077 +#27093 := [trans #27078 #27084]: #27077 +#27076 := [quant-inst]: #27075 +#27094 := [mp #27076 #27093]: #27074 +#28055 := [unit-resolution #27094 #23688]: #26570 +#28076 := (not #26570) +#28079 := (or #28076 #27092) +#28080 := [th-lemma]: #28079 +#28081 := [unit-resolution #28080 #28055]: #27092 +#27095 := (>= #26569 0::int) +#28082 := (or #28076 #27095) +#28078 := [th-lemma]: #28082 +#28083 := [unit-resolution #28078 #28055]: #27095 +#27032 := (<= #26356 1::int) +#27031 := (= #26356 1::int) +#2927 := (uf_138 uf_7) +#2928 := (= #2927 1::int) +#12262 := [asserted]: #2928 +#28084 := (= #26356 #2927) +#28103 := [monotonicity #27683]: #28084 +#28105 := [trans #28103 #12262]: #27031 +#28106 := (not #27031) +#28261 := (or #28106 #27032) +#28262 := [th-lemma]: #28261 +#28263 := [unit-resolution #28262 #28105]: #27032 +#27069 := (>= #26356 1::int) +#28264 := (or #28106 #27069) +#28265 := [th-lemma]: #28264 +#28266 := [unit-resolution #28265 #28105]: #27069 +#27890 := (* -1::int #26643) +#27891 := (+ #24016 #27890) +#27892 := (<= #27891 0::int) +#27887 := (= #24016 #26643) +#28253 := (= #26643 #24016) +#28254 := [monotonicity #27941]: #28253 +#28252 := [symm #28254]: #27887 +#28255 := (not #27887) +#28256 := (or #28255 #27892) +#28257 := [th-lemma]: #28256 +#28258 := [unit-resolution #28257 #28252]: #27892 +#27893 := (>= #27891 0::int) +#28259 := (or #28255 #27893) +#28260 := [th-lemma]: #28259 +#28271 := [unit-resolution #28260 #28252]: #27893 +#28281 := [th-lemma #28266 #28263 #28271 #28258 #28266 #28263 #28083 #28081 #28054 #28051]: #28272 +#28280 := [symm #28281]: #28282 +#28239 := [trans #28280 #28284]: #28237 +#28305 := [monotonicity #28239]: #28304 +#28322 := (= #26435 #26654) +#26639 := (uf_66 #25404 0::int #24114) +#26657 := (= #26639 #26654) +#26660 := (not #26657) +#26640 := (uf_139 #26639 #25404) +#26641 := (= uf_9 #26640) +#26642 := (not #26641) +#26666 := (or #26642 #26660) +#26671 := (not #26666) +#27881 := (or #26114 #26671) +#26644 := (+ #26643 #26356) +#26645 := (+ 0::int #26644) +#26646 := (uf_43 #24114 #26645) +#26647 := (= #26639 #26646) +#26648 := (not #26647) +#26649 := (or #26648 #26642) +#26650 := (not #26649) +#27869 := (or #26114 #26650) +#27883 := (iff #27869 #27881) +#27885 := (iff #27881 #27881) +#27886 := [rewrite]: #27885 +#26672 := (iff #26650 #26671) +#26669 := (iff #26649 #26666) +#26663 := (or #26660 #26642) +#26667 := (iff #26663 #26666) +#26668 := [rewrite]: #26667 +#26664 := (iff #26649 #26663) +#26661 := (iff #26648 #26660) +#26658 := (iff #26647 #26657) +#26655 := (= #26646 #26654) +#26652 := (= #26645 #26651) +#26653 := [rewrite]: #26652 +#26656 := [monotonicity #26653]: #26655 +#26659 := [monotonicity #26656]: #26658 +#26662 := [monotonicity #26659]: #26661 +#26665 := [monotonicity #26662]: #26664 +#26670 := [trans #26665 #26668]: #26669 +#26673 := [monotonicity #26670]: #26672 +#27884 := [monotonicity #26673]: #27883 +#27896 := [trans #27884 #27886]: #27883 +#27882 := [quant-inst]: #27869 +#27897 := [mp #27882 #27896]: #27881 +#28240 := [unit-resolution #27897 #21660]: #26671 +#27900 := (or #26666 #26657) +#27901 := [def-axiom]: #27900 +#28238 := [unit-resolution #27901 #28240]: #26657 +#28310 := (= #26435 #26639) +#28311 := [monotonicity #27948]: #28310 +#28323 := [trans #28311 #28238]: #28322 +#28319 := [trans #28323 #28305]: #28324 +#28326 := [trans #28319 #28321]: #28325 +#28296 := [monotonicity #28326]: #28308 +#28309 := [symm #28296]: #28298 +#28297 := [monotonicity #28309]: #28299 +#28303 := [trans #28297 #28301]: #28302 +#28335 := [trans #28303 #27935]: #28329 +#28334 := [monotonicity #28335]: #28357 +#28361 := [trans #28334 #28359]: #28360 +#28363 := [monotonicity #28361]: #28362 +#28356 := [monotonicity #28363]: #28355 +#28389 := [symm #28356]: #28388 +#28391 := [monotonicity #28389]: #28390 +#28392 := [mp #14796 #28391]: #26958 +#28395 := (= #2967 #26630) +#28387 := (= #26630 #2967) +#28393 := [monotonicity #28335]: #28387 +#28328 := [symm #28393]: #28395 +#28349 := [trans #14799 #28328]: #26610 +#26877 := (not #26610) +#26878 := (or #26753 #26877) +#26905 := [def-axiom]: #26878 +#28327 := [unit-resolution #26905 #28349]: #26753 +#26952 := (or #26807 #26629 #26750 #26766 #26791) +#26953 := [def-axiom]: #26952 +#28350 := [unit-resolution #26953 #28327 #28392 #28005 #27983 #27903]: false +#28351 := [lemma #28350]: #28348 +#28242 := [unit-resolution #28351 #28241]: #23957 +#23303 := (or #23954 #3022) +#23302 := [def-axiom]: #23303 +#28243 := [unit-resolution #23302 #28242]: #3022 +#28633 := (+ #3021 #18936) +#26421 := (>= #28633 0::int) +#28632 := (= #3021 #18935) +#27102 := (= #18935 #3021) +#26769 := (= #18934 #3011) +#26767 := (= ?x773!13 0::int) +#23266 := (not #18939) +#26720 := [hypothesis]: #22757 +#23257 := (or #22752 #23266) +#23268 := [def-axiom]: #23257 +#26762 := [unit-resolution #23268 #26720]: #23266 +#23178 := (or #22752 #18931) +#23264 := [def-axiom]: #23178 +#26763 := [unit-resolution #23264 #26720]: #18931 +#26768 := [th-lemma #26763 #26762]: #26767 +#27101 := [monotonicity #26768]: #26769 +#27157 := [monotonicity #27101]: #27102 +#28041 := [symm #27157]: #28632 +#28023 := (not #28632) +#28024 := (or #28023 #26421) +#28022 := [th-lemma]: #28024 +#28025 := [unit-resolution #28022 #28041]: #26421 +#23179 := (not #18938) +#23265 := (or #22752 #23179) +#23180 := [def-axiom]: #23265 +#28026 := [unit-resolution #23180 #26720]: #23179 +#26970 := (* -1::int #3021) +#26971 := (+ uf_285 #26970) +#26972 := (>= #26971 0::int) +#28244 := (or #13672 #26972) +#28245 := [th-lemma]: #28244 +#28246 := [unit-resolution #28245 #28243]: #26972 +#28641 := [th-lemma #28246 #28026 #28025]: false +#28642 := [lemma #28641]: #22752 +#23280 := (or #23954 #23948) +#23281 := [def-axiom]: #23280 +#29203 := [unit-resolution #23281 #28242]: #23948 +#28560 := [hypothesis]: #13906 +#28561 := [th-lemma #14790 #28560]: false +#28562 := [lemma #28561]: #13903 +#23300 := (or #23951 #13906 #23945) +#23301 := [def-axiom]: #23300 +#29204 := [unit-resolution #23301 #28562 #29203]: #23945 +#23309 := (or #23942 #23936) +#23310 := [def-axiom]: #23309 +#29207 := [unit-resolution #23310 #29204]: #23936 +#23328 := (or #23939 #22757 #23933) +#23305 := [def-axiom]: #23328 +#29208 := [unit-resolution #23305 #29207 #28642]: #23933 +#23321 := (or #23930 #23924) +#23322 := [def-axiom]: #23321 +#29209 := [unit-resolution #23322 #29208]: #23924 +#29210 := (or #23927 #13672 #23921) +#23317 := (or #23927 #13672 #13942 #23921) +#23318 := [def-axiom]: #23317 +#29211 := [unit-resolution #23318 #14790]: #29210 +#29212 := [unit-resolution #29211 #29209 #28243]: #23921 +#23351 := (or #23918 #13947) +#23355 := [def-axiom]: #23351 +#29213 := [unit-resolution #23355 #29212]: #13947 +#27053 := (* -1::int #26964) +#27103 := (+ uf_293 #27053) +#27104 := (<= #27103 0::int) +#26965 := (= uf_293 #26964) +#1382 := (uf_66 #15 #161 #1381) +#1383 := (pattern #1382) +#1384 := (uf_125 #1382 #15) +#8071 := (= #161 #1384) +#8075 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1383) #8071) +#17553 := (~ #8075 #8075) +#17551 := (~ #8071 #8071) +#17552 := [refl]: #17551 +#17554 := [nnf-pos #17552]: #17553 +#1385 := (= #1384 #161) +#1386 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1383) #1385) +#8076 := (iff #1386 #8075) +#8073 := (iff #1385 #8071) +#8074 := [rewrite]: #8073 +#8077 := [quant-intro #8074]: #8076 +#8070 := [asserted]: #1386 +#8080 := [mp #8070 #8077]: #8075 +#17555 := [mp~ #8080 #17554]: #8075 +#26411 := (not #8075) +#26968 := (or #26411 #26965) +#26969 := [quant-inst]: #26968 +#27438 := [unit-resolution #26969 #17555]: #26965 +#27439 := (not #26965) +#29214 := (or #27439 #27104) +#29215 := [th-lemma]: #29214 +#29216 := [unit-resolution #29215 #27438]: #27104 +#29217 := (not #27104) +#29218 := (or #27037 #22873 #29217) +#29219 := [th-lemma]: #29218 +#29220 := [unit-resolution #29219 #29216 #29213]: #27037 +#23345 := (or #23918 #23754) +#23338 := [def-axiom]: #23345 +#29221 := [unit-resolution #23338 #29212]: #23754 +#23365 := (or #23918 #12426) +#23366 := [def-axiom]: #23365 +#29222 := [unit-resolution #23366 #29212]: #12426 +#27373 := (+ uf_272 #27053) +#27374 := (<= #27373 0::int) +#27445 := (not #27374) +#23356 := (or #23918 #14405) +#23359 := [def-axiom]: #23356 +#29223 := [unit-resolution #23359 #29212]: #14405 +#27446 := (or #27445 #14404) +#27437 := [hypothesis]: #14405 +#27105 := (>= #27103 0::int) +#27440 := (or #27439 #27105) +#27441 := [th-lemma]: #27440 +#27442 := [unit-resolution #27441 #27438]: #27105 +#27443 := [hypothesis]: #27374 +#27444 := [th-lemma #27443 #27442 #27437]: false +#27447 := [lemma #27444]: #27446 +#29224 := [unit-resolution #27447 #29223]: #27445 +#23346 := (or #23918 #23912) +#23339 := [def-axiom]: #23346 +#29225 := [unit-resolution #23339 #29212]: #23912 +#27311 := (<= #26964 131073::int) +#23336 := (or #23918 #16332) +#23337 := [def-axiom]: #23336 +#29226 := [unit-resolution #23337 #29212]: #16332 +#29227 := (not #27105) +#29228 := (or #27311 #23042 #29227) +#29229 := [th-lemma]: #29228 +#29230 := [unit-resolution #29229 #27442 #29226]: #27311 +#27312 := (not #27311) +#27038 := (not #27037) +#27757 := (or #14049 #27038 #27312 #27374 #23037 #23759 #23915) +#27327 := (uf_66 #2960 #26964 uf_7) +#27328 := (uf_110 uf_273 #27327) +#27331 := (= uf_299 #27328) +#27162 := (= #3068 #27328) +#27733 := (= #27328 #3068) +#27638 := (= #27327 #3067) +#27584 := (= #26964 uf_293) +#27589 := [symm #27438]: #27584 +#27639 := [monotonicity #27589]: #27638 +#27734 := [monotonicity #27639]: #27733 +#27665 := [symm #27734]: #27162 +#27735 := (= uf_299 #3068) +#27640 := [hypothesis]: #12426 +#27641 := [hypothesis]: #23912 +#27352 := [hypothesis]: #14046 +#23335 := (or #23872 #14049) +#23446 := [def-axiom]: #23335 +#27720 := [unit-resolution #23446 #27352]: #23872 +#23378 := (or #23915 #23875 #23909) +#23380 := [def-axiom]: #23378 +#27731 := [unit-resolution #23380 #27720 #27641]: #23909 +#23397 := (or #23906 #12576) +#23398 := [def-axiom]: #23397 +#27666 := [unit-resolution #23398 #27731]: #12576 +#27732 := [symm #27666]: #3139 +#27736 := [trans #27732 #27640]: #27735 +#27737 := [trans #27736 #27665]: #27331 +#27738 := [hypothesis]: #27445 +#27675 := [hypothesis]: #27311 +#27739 := [hypothesis]: #27037 +#23405 := (or #23906 #23900) +#23406 := [def-axiom]: #23405 +#27740 := [unit-resolution #23406 #27731]: #23900 +#27363 := [hypothesis]: #23754 +#27108 := (+ uf_292 #13970) +#27109 := (<= #27108 0::int) +#27741 := (or #12644 #27109) +#27742 := [th-lemma]: #27741 +#27743 := [unit-resolution #27742 #27666]: #27109 +#27349 := (not #27109) +#27367 := (or #23008 #23759 #27349 #14049) +#27179 := (+ uf_294 #19528) +#27180 := (<= #27179 0::int) +#27355 := (not #27180) +#23419 := (not #19530) +#27353 := [hypothesis]: #23013 +#23443 := (or #23008 #23419) +#23444 := [def-axiom]: #23443 +#27354 := [unit-resolution #23444 #27353]: #23419 +#27356 := (or #27355 #14049 #19530) +#27357 := [th-lemma]: #27356 +#27358 := [unit-resolution #27357 #27354 #27352]: #27355 +#27191 := (+ uf_292 #19541) +#27192 := (>= #27191 0::int) +#27348 := (not #27192) +#27342 := [hypothesis]: #27109 +#23439 := (not #19543) +#23445 := (or #23008 #23439) +#23413 := [def-axiom]: #23445 +#27359 := [unit-resolution #23413 #27353]: #23439 +#27350 := (or #27348 #19543 #27349) +#27343 := [hypothesis]: #23439 +#27346 := [hypothesis]: #27192 +#27347 := [th-lemma #27346 #27343 #27342]: false +#27351 := [lemma #27347]: #27350 +#27360 := [unit-resolution #27351 #27359 #27342]: #27348 +#27364 := (or #27180 #27192) +#23383 := (or #23008 #19192) +#23438 := [def-axiom]: #23383 +#27361 := [unit-resolution #23438 #27353]: #19192 +#23457 := (or #23008 #19191) +#23437 := [def-axiom]: #23457 +#27362 := [unit-resolution #23437 #27353]: #19191 +#27205 := (or #23759 #22992 #22993 #27180 #27192) +#27168 := (+ #19196 #14431) +#27169 := (<= #27168 0::int) +#27170 := (+ ?x781!15 #14044) +#27171 := (>= #27170 0::int) +#27172 := (or #22993 #27171 #27169 #22992) +#27206 := (or #23759 #27172) +#27213 := (iff #27206 #27205) +#27200 := (or #22992 #22993 #27180 #27192) +#27208 := (or #23759 #27200) +#27211 := (iff #27208 #27205) +#27212 := [rewrite]: #27211 +#27209 := (iff #27206 #27208) +#27203 := (iff #27172 #27200) +#27197 := (or #22993 #27180 #27192 #22992) +#27201 := (iff #27197 #27200) +#27202 := [rewrite]: #27201 +#27198 := (iff #27172 #27197) +#27195 := (iff #27169 #27192) +#27185 := (+ #14431 #19196) +#27188 := (<= #27185 0::int) +#27193 := (iff #27188 #27192) +#27194 := [rewrite]: #27193 +#27189 := (iff #27169 #27188) +#27186 := (= #27168 #27185) +#27187 := [rewrite]: #27186 +#27190 := [monotonicity #27187]: #27189 +#27196 := [trans #27190 #27194]: #27195 +#27183 := (iff #27171 #27180) +#27173 := (+ #14044 ?x781!15) +#27176 := (>= #27173 0::int) +#27181 := (iff #27176 #27180) +#27182 := [rewrite]: #27181 +#27177 := (iff #27171 #27176) +#27174 := (= #27170 #27173) +#27175 := [rewrite]: #27174 +#27178 := [monotonicity #27175]: #27177 +#27184 := [trans #27178 #27182]: #27183 +#27199 := [monotonicity #27184 #27196]: #27198 +#27204 := [trans #27199 #27202]: #27203 +#27210 := [monotonicity #27204]: #27209 +#27214 := [trans #27210 #27212]: #27213 +#27207 := [quant-inst]: #27206 +#27215 := [mp #27207 #27214]: #27205 +#27365 := [unit-resolution #27215 #27363 #27362 #27361]: #27364 +#27366 := [unit-resolution #27365 #27360 #27358]: false +#27368 := [lemma #27366]: #27367 +#27753 := [unit-resolution #27368 #27743 #27352 #27363]: #23008 +#23423 := (or #23903 #23897 #23013) +#23424 := [def-axiom]: #23423 +#27754 := [unit-resolution #23424 #27753 #27740]: #23897 +#23454 := (or #23894 #23886) +#23455 := [def-axiom]: #23454 +#27755 := [unit-resolution #23455 #27754]: #23886 +#27334 := (not #27331) +#27520 := (or #23891 #27038 #27312 #27334 #27374) +#27317 := (+ #26964 #13873) +#27318 := (>= #27317 0::int) +#27326 := (= #27328 uf_299) +#27329 := (not #27326) +#27330 := (or #27329 #27038 #27318 #27312) +#27518 := (or #23891 #27330) +#27642 := (iff #27518 #27520) +#27382 := (or #27038 #27312 #27334 #27374) +#27590 := (or #23891 #27382) +#27593 := (iff #27590 #27520) +#27594 := [rewrite]: #27593 +#27591 := (iff #27518 #27590) +#27385 := (iff #27330 #27382) +#27379 := (or #27334 #27038 #27374 #27312) +#27383 := (iff #27379 #27382) +#27384 := [rewrite]: #27383 +#27380 := (iff #27330 #27379) +#27377 := (iff #27318 #27374) +#27335 := (+ #13873 #26964) +#27370 := (>= #27335 0::int) +#27375 := (iff #27370 #27374) +#27376 := [rewrite]: #27375 +#27371 := (iff #27318 #27370) +#27336 := (= #27317 #27335) +#27369 := [rewrite]: #27336 +#27372 := [monotonicity #27369]: #27371 +#27378 := [trans #27372 #27376]: #27377 +#27344 := (iff #27329 #27334) +#27332 := (iff #27326 #27331) +#27333 := [rewrite]: #27332 +#27345 := [monotonicity #27333]: #27344 +#27381 := [monotonicity #27345 #27378]: #27380 +#27386 := [trans #27381 #27384]: #27385 +#27592 := [monotonicity #27386]: #27591 +#27647 := [trans #27592 #27594]: #27642 +#27521 := [quant-inst]: #27518 +#27648 := [mp #27521 #27647]: #27520 +#27756 := [unit-resolution #27648 #27755 #27739 #27675 #27738 #27737]: false +#27758 := [lemma #27756]: #27757 +#29231 := [unit-resolution #27758 #29230 #29225 #29224 #29222 #29221 #29220]: #14049 +#23541 := (+ uf_294 #14142) +#23536 := (>= #23541 0::int) +#27163 := (uf_58 #3079 #3175) +#27762 := (uf_136 #27163) +#27763 := (uf_24 uf_273 #27762) +#27764 := (= uf_9 #27763) +#27765 := (not #27764) +#27759 := (uf_135 #27163) +#27760 := (= uf_9 #27759) +#27761 := (not #27760) +#27819 := (or #27761 #27765) +#27822 := (not #27819) +#27773 := (uf_210 uf_273 #27762) +#27774 := (= uf_9 #27773) +#27771 := (uf_25 uf_273 #27762) +#27772 := (= uf_26 #27771) +#27813 := (or #27772 #27774) +#27816 := (not #27813) +#27527 := (uf_15 #3175) +#27777 := (uf_14 #27527) +#27795 := (= uf_16 #27777) +#27810 := (not #27795) +#27768 := (uf_15 #27762) +#27769 := (uf_14 #27768) +#27770 := (= uf_16 #27769) +#27828 := (or #27770 #27810 #27816 #27822) +#27833 := (not #27828) +#27784 := (uf_25 uf_273 #3175) +#27785 := (= uf_26 #27784) +#27782 := (uf_210 uf_273 #3175) +#27783 := (= uf_9 #27782) +#27798 := (or #27783 #27785) +#27801 := (not #27798) +#27804 := (or #27795 #27801) +#27807 := (not #27804) +#27836 := (or #27807 #27833) +#27839 := (not #27836) +#27842 := (or #19008 #27839) +#27845 := (not #27842) +#27848 := (iff #12812 #27845) +#29445 := (or #26854 #27848) +#27766 := (or #27765 #27761) +#27767 := (not #27766) +#27775 := (or #27774 #27772) +#27776 := (not #27775) +#27778 := (= #27777 uf_16) +#27779 := (not #27778) +#27780 := (or #27779 #27776 #27770 #27767) +#27781 := (not #27780) +#27786 := (or #27785 #27783) +#27787 := (not #27786) +#27788 := (or #27778 #27787) +#27789 := (not #27788) +#27790 := (or #27789 #27781) +#27791 := (not #27790) +#27792 := (or #19008 #27791) +#27793 := (not #27792) +#27794 := (iff #12812 #27793) +#29439 := (or #26854 #27794) +#29438 := (iff #29439 #29445) +#29456 := (iff #29445 #29445) +#29454 := [rewrite]: #29456 +#27849 := (iff #27794 #27848) +#27846 := (iff #27793 #27845) +#27843 := (iff #27792 #27842) +#27840 := (iff #27791 #27839) +#27837 := (iff #27790 #27836) +#27834 := (iff #27781 #27833) +#27831 := (iff #27780 #27828) +#27825 := (or #27810 #27816 #27770 #27822) +#27829 := (iff #27825 #27828) +#27830 := [rewrite]: #27829 +#27826 := (iff #27780 #27825) +#27823 := (iff #27767 #27822) +#27820 := (iff #27766 #27819) +#27821 := [rewrite]: #27820 +#27824 := [monotonicity #27821]: #27823 +#27817 := (iff #27776 #27816) +#27814 := (iff #27775 #27813) +#27815 := [rewrite]: #27814 +#27818 := [monotonicity #27815]: #27817 +#27811 := (iff #27779 #27810) +#27796 := (iff #27778 #27795) +#27797 := [rewrite]: #27796 +#27812 := [monotonicity #27797]: #27811 +#27827 := [monotonicity #27812 #27818 #27824]: #27826 +#27832 := [trans #27827 #27830]: #27831 +#27835 := [monotonicity #27832]: #27834 +#27808 := (iff #27789 #27807) +#27805 := (iff #27788 #27804) +#27802 := (iff #27787 #27801) +#27799 := (iff #27786 #27798) +#27800 := [rewrite]: #27799 +#27803 := [monotonicity #27800]: #27802 +#27806 := [monotonicity #27797 #27803]: #27805 +#27809 := [monotonicity #27806]: #27808 +#27838 := [monotonicity #27809 #27835]: #27837 +#27841 := [monotonicity #27838]: #27840 +#27844 := [monotonicity #27841]: #27843 +#27847 := [monotonicity #27844]: #27846 +#27850 := [monotonicity #27847]: #27849 +#29455 := [monotonicity #27850]: #29438 +#29457 := [trans #29455 #29454]: #29438 +#29446 := [quant-inst]: #29439 +#29459 := [mp #29446 #29457]: #29445 +#29640 := [unit-resolution #29459 #22514]: #27848 +#29381 := (not #27848) +#29642 := (or #29381 #27842) +#29641 := [hypothesis]: #19017 +#29377 := (or #29381 #12812 #27842) +#29382 := [def-axiom]: #29377 +#28866 := [unit-resolution #29382 #29641]: #29642 +#29632 := [unit-resolution #28866 #29640]: #27842 +#29635 := (or #27845 #27839) +#23357 := (or #23918 #13950) +#23358 := [def-axiom]: #23357 +#28992 := [unit-resolution #23358 #29212]: #13950 +#28994 := [trans #26494 #27946]: #25983 +#28995 := [unit-resolution #26021 #28994 #27937]: #25981 +#28996 := [unit-resolution #27928 #28995]: #26058 +#28997 := [unit-resolution #26217 #28996]: #26041 +#29000 := [trans #28997 #27953]: #26522 +#27729 := (or #12803 #14243 #26523 #14046) +#27672 := [hypothesis]: #13950 +#27528 := (uf_66 #23223 uf_294 #26404) +#27529 := (uf_125 #27528 #23223) +#27558 := (* -1::int #27529) +#27667 := (+ uf_294 #27558) +#27668 := (<= #27667 0::int) +#27530 := (= uf_294 #27529) +#27533 := (or #26411 #27530) +#27534 := [quant-inst]: #27533 +#27673 := [unit-resolution #27534 #17555]: #27530 +#27676 := (not #27530) +#27677 := (or #27676 #27668) +#27678 := [th-lemma]: #27677 +#27679 := [unit-resolution #27678 #27673]: #27668 +#27549 := (>= #27529 0::int) +#27550 := (not #27549) +#27601 := (uf_66 #26511 #27529 #24114) +#27605 := (uf_58 #3079 #27601) +#27606 := (uf_135 #27605) +#27607 := (= uf_9 #27606) +#27602 := (uf_27 uf_273 #27601) +#27603 := (= uf_9 #27602) +#27604 := (not #27603) +#27611 := (or #27604 #27607) +#27699 := (iff #19008 #27604) +#27697 := (iff #12803 #27603) +#27695 := (iff #27603 #12803) +#27693 := (= #27602 #3176) +#27691 := (= #27601 #3175) +#27684 := (= #27529 uf_294) +#27685 := [symm #27673]: #27684 +#27692 := [monotonicity #27690 #27685 #27683]: #27691 +#27694 := [monotonicity #27692]: #27693 +#27696 := [monotonicity #27694]: #27695 +#27698 := [symm #27696]: #27697 +#27700 := [monotonicity #27698]: #27699 +#27680 := [hypothesis]: #19008 +#27701 := [mp #27680 #27700]: #27604 +#27636 := (or #27611 #27603) +#27637 := [def-axiom]: #27636 +#27702 := [unit-resolution #27637 #27701]: #27611 +#27559 := (+ #24116 #27558) +#27560 := (<= #27559 0::int) +#27712 := (not #27560) +#27708 := [hypothesis]: #14049 +#27669 := (>= #27667 0::int) +#27709 := (or #27676 #27669) +#27710 := [th-lemma]: #27709 +#27711 := [unit-resolution #27710 #27673]: #27669 +#27714 := (not #27669) +#27715 := (or #27712 #27713 #27714 #14046) +#27716 := [th-lemma]: #27715 +#27717 := [unit-resolution #27716 #27711 #27708 #27707]: #27712 +#27614 := (not #27611) +#27725 := (or #27550 #27560 #27614) +#27625 := (or #26542 #23209 #26523 #26526 #27550 #27560 #27614) +#27608 := (or #27607 #27604) +#27609 := (not #27608) +#27547 := (+ #27529 #26452) +#27548 := (>= #27547 0::int) +#27610 := (or #26526 #27550 #27548 #26523 #23209 #27609) +#27626 := (or #26542 #27610) +#27633 := (iff #27626 #27625) +#27620 := (or #23209 #26523 #26526 #27550 #27560 #27614) +#27628 := (or #26542 #27620) +#27631 := (iff #27628 #27625) +#27632 := [rewrite]: #27631 +#27629 := (iff #27626 #27628) +#27623 := (iff #27610 #27620) +#27617 := (or #26526 #27550 #27560 #26523 #23209 #27614) +#27621 := (iff #27617 #27620) +#27622 := [rewrite]: #27621 +#27618 := (iff #27610 #27617) +#27615 := (iff #27609 #27614) +#27612 := (iff #27608 #27611) +#27613 := [rewrite]: #27612 +#27616 := [monotonicity #27613]: #27615 +#27563 := (iff #27548 #27560) +#27552 := (+ #26452 #27529) +#27555 := (>= #27552 0::int) +#27561 := (iff #27555 #27560) +#27562 := [rewrite]: #27561 +#27556 := (iff #27548 #27555) +#27553 := (= #27547 #27552) +#27554 := [rewrite]: #27553 +#27557 := [monotonicity #27554]: #27556 +#27564 := [trans #27557 #27562]: #27563 +#27619 := [monotonicity #27564 #27616]: #27618 +#27624 := [trans #27619 #27622]: #27623 +#27630 := [monotonicity #27624]: #27629 +#27634 := [trans #27630 #27632]: #27633 +#27627 := [quant-inst]: #27626 +#27635 := [mp #27627 #27634]: #27625 +#27726 := [unit-resolution #27635 #22104 #14784 #27724 #27723]: #27725 +#27727 := [unit-resolution #27726 #27717 #27702]: #27550 +#27728 := [th-lemma #27727 #27679 #27672]: false +#27730 := [lemma #27728]: #27729 +#29001 := [unit-resolution #27730 #29231 #29000 #28992]: #12803 +#29437 := (or #27845 #19008 #27839) +#29380 := [def-axiom]: #29437 +#29636 := [unit-resolution #29380 #29001]: #29635 +#29634 := [unit-resolution #29636 #29632]: #27839 +#29590 := (or #27836 #27828) +#29500 := [def-axiom]: #29590 +#29637 := [unit-resolution #29500 #29634]: #27828 +#29123 := (= #24653 #27777) +#29378 := (= #27777 #24653) +#29114 := (= #27527 uf_7) +#28862 := (= #27527 #24114) +#27514 := (= #24114 #27527) +#27302 := (uf_48 #3175 #24114) +#27308 := (= uf_9 #27302) +#27513 := (iff #27308 #27514) +#28999 := (or #25432 #27513) +#27515 := (iff #27514 #27308) +#28993 := (or #25432 #27515) +#29008 := (iff #28993 #28999) +#28998 := (iff #28999 #28999) +#29010 := [rewrite]: #28998 +#27516 := (iff #27515 #27513) +#27517 := [rewrite]: #27516 +#29009 := [monotonicity #27517]: #29008 +#29011 := [trans #29009 #29010]: #29008 +#29007 := [quant-inst]: #28993 +#29012 := [mp #29007 #29011]: #28999 +#29076 := [unit-resolution #29012 #23681]: #27513 +#29751 := (= #3178 #27302) +#29068 := (= #27302 #3178) +#29078 := [monotonicity #27683]: #29068 +#29752 := [symm #29078]: #29751 +#27490 := (+ uf_294 #26365) +#27493 := (uf_43 #24114 #27490) +#27643 := (uf_15 #27493) +#29135 := (= #27643 #27527) +#29116 := (= #27527 #27643) +#29048 := (= #3175 #27493) +#27480 := (uf_66 #23223 uf_294 #24114) +#27496 := (= #27480 #27493) +#27499 := (not #27496) +#27481 := (uf_139 #27480 #23223) +#27482 := (= uf_9 #27481) +#27483 := (not #27482) +#27505 := (or #27483 #27499) +#27510 := (not #27505) +#29033 := (or #26114 #27510) +#27484 := (+ uf_294 #26358) +#27485 := (uf_43 #24114 #27484) +#27486 := (= #27480 #27485) +#27487 := (not #27486) +#27488 := (or #27487 #27483) +#27489 := (not #27488) +#29034 := (or #26114 #27489) +#29030 := (iff #29034 #29033) +#29036 := (iff #29033 #29033) +#29037 := [rewrite]: #29036 +#27511 := (iff #27489 #27510) +#27508 := (iff #27488 #27505) +#27502 := (or #27499 #27483) +#27506 := (iff #27502 #27505) +#27507 := [rewrite]: #27506 +#27503 := (iff #27488 #27502) +#27500 := (iff #27487 #27499) +#27497 := (iff #27486 #27496) +#27494 := (= #27485 #27493) +#27491 := (= #27484 #27490) +#27492 := [rewrite]: #27491 +#27495 := [monotonicity #27492]: #27494 +#27498 := [monotonicity #27495]: #27497 +#27501 := [monotonicity #27498]: #27500 +#27504 := [monotonicity #27501]: #27503 +#27509 := [trans #27504 #27507]: #27508 +#27512 := [monotonicity #27509]: #27511 +#29035 := [monotonicity #27512]: #29030 +#29038 := [trans #29035 #29037]: #29030 +#29029 := [quant-inst]: #29034 +#29039 := [mp #29029 #29038]: #29033 +#29088 := [unit-resolution #29039 #21660]: #27510 +#28968 := (or #27505 #27496) +#29050 := [def-axiom]: #28968 +#29049 := [unit-resolution #29050 #29088]: #27496 +#29056 := (= #3175 #27480) +#29054 := (= #27480 #3175) +#29055 := [monotonicity #28039 #27683]: #29054 +#29057 := [symm #29055]: #29056 +#29082 := [trans #29057 #29049]: #29048 +#29117 := [monotonicity #29082]: #29116 +#29115 := [symm #29117]: #29135 +#27644 := (= #24114 #27643) +#29031 := (or #24181 #27644) +#29032 := [quant-inst]: #29031 +#29087 := [unit-resolution #29032 #23694]: #27644 +#29136 := [trans #29087 #29115]: #27514 +#28947 := (not #27514) +#27309 := (not #27308) +#29080 := (iff #19011 #27309) +#29071 := (iff #12806 #27308) +#29081 := (iff #27308 #12806) +#29066 := [monotonicity #29078]: #29081 +#29072 := [symm #29066]: #29071 +#29083 := [monotonicity #29072]: #29080 +#29077 := [hypothesis]: #19011 +#29079 := [mp #29077 #29083]: #27309 +#28946 := (not #27513) +#29042 := (or #28946 #27308 #28947) +#29043 := [def-axiom]: #29042 +#29084 := [unit-resolution #29043 #29079 #29076]: #28947 +#29137 := [unit-resolution #29084 #29136]: false +#29138 := [lemma #29137]: #12806 +#29753 := [trans #29138 #29752]: #27308 +#28964 := (or #28946 #27309 #27514) +#28951 := [def-axiom]: #28964 +#28867 := [unit-resolution #28951 #29753 #29076]: #27514 +#29113 := [symm #28867]: #28862 +#28864 := [trans #29113 #27683]: #29114 +#29141 := [monotonicity #28864]: #29378 +#29124 := [symm #29141]: #29123 +#29188 := [trans #28004 #29124]: #27795 +#29563 := (not #27770) +#29681 := (iff #12299 #29563) +#29679 := (iff #12296 #27770) +#29461 := (iff #27770 #12296) +#29267 := (= #27769 #2955) +#29265 := (= #27768 #2952) +#29264 := (= #27768 #24234) +#29783 := (= #27762 #2962) +#29781 := (= #27762 #26432) +#27531 := (uf_66 #26432 #27529 #24114) +#27532 := (uf_58 #3079 #27531) +#27535 := (uf_136 #27532) +#29779 := (= #27535 #26432) +#27536 := (= #26432 #27535) +#27543 := (up_68 #27532) +#27544 := (not #27543) +#27540 := (uf_27 uf_273 #27531) +#27541 := (= uf_9 #27540) +#27542 := (not #27541) +#27538 := (uf_135 #27532) +#27539 := (= uf_9 #27538) +#27537 := (not #27536) +#27565 := (or #27537 #27539 #27542 #27544) +#27568 := (not #27565) +#28420 := (or #27549 #14243) +#28416 := [hypothesis]: #27550 +#28417 := [th-lemma #28416 #27679 #27672]: false +#28421 := [lemma #28417]: #28420 +#29742 := [unit-resolution #28421 #28992]: #27549 +#29745 := (or #27712 #27714) +#29743 := (or #27712 #27714 #14046) +#29744 := [unit-resolution #27716 #27707]: #29743 +#29746 := [unit-resolution #29744 #29231]: #29745 +#29747 := [unit-resolution #29746 #27711]: #27712 +#29144 := (or #27098 #26451 #27550 #27560 #27568) +#27545 := (or #27544 #27542 #27539 #27537) +#27546 := (not #27545) +#27551 := (or #27550 #27548 #26451 #27546) +#29145 := (or #27098 #27551) +#29157 := (iff #29145 #29144) +#27574 := (or #26451 #27550 #27560 #27568) +#29168 := (or #27098 #27574) +#29156 := (iff #29168 #29144) +#29154 := [rewrite]: #29156 +#29155 := (iff #29145 #29168) +#27577 := (iff #27551 #27574) +#27571 := (or #27550 #27560 #26451 #27568) +#27575 := (iff #27571 #27574) +#27576 := [rewrite]: #27575 +#27572 := (iff #27551 #27571) +#27569 := (iff #27546 #27568) +#27566 := (iff #27545 #27565) +#27567 := [rewrite]: #27566 +#27570 := [monotonicity #27567]: #27569 +#27573 := [monotonicity #27564 #27570]: #27572 +#27578 := [trans #27573 #27576]: #27577 +#29164 := [monotonicity #27578]: #29155 +#29158 := [trans #29164 #29154]: #29157 +#29167 := [quant-inst]: #29145 +#29159 := [mp #29167 #29158]: #29144 +#29748 := [unit-resolution #29159 #21444 #29747 #29742 #28031]: #27568 +#29175 := (or #27565 #27536) +#29176 := [def-axiom]: #29175 +#29749 := [unit-resolution #29176 #29748]: #27536 +#29780 := [symm #29749]: #29779 +#29777 := (= #27762 #27535) +#29775 := (= #27163 #27532) +#29773 := (= #27532 #27163) +#29771 := (= #27531 #3175) +#27310 := (uf_116 #3175) +#27388 := (uf_43 #24114 #27310) +#29765 := (= #27388 #3175) +#27429 := (= #3175 #27388) +#27431 := (or #27309 #27429) +#29044 := (or #25416 #27309 #27429) +#27430 := (or #27429 #27309) +#29045 := (or #25416 #27430) +#28949 := (iff #29045 #29044) +#28962 := (or #25416 #27431) +#28965 := (iff #28962 #29044) +#28948 := [rewrite]: #28965 +#28960 := (iff #29045 #28962) +#27432 := (iff #27430 #27431) +#27433 := [rewrite]: #27432 +#28963 := [monotonicity #27433]: #28960 +#28945 := [trans #28963 #28948]: #28949 +#28961 := [quant-inst]: #29045 +#28950 := [mp #28961 #28945]: #29044 +#29754 := [unit-resolution #28950 #18736]: #27431 +#29755 := [unit-resolution #29754 #29753]: #27429 +#29766 := [symm #29755]: #29765 +#29769 := (= #27531 #27388) +#28122 := (+ #26643 #27529) +#28146 := (+ #26356 #28122) +#28149 := (uf_43 #24114 #28146) +#29763 := (= #28149 #27388) +#29757 := (= #28146 #27310) +#29735 := (= #27310 #28146) +#29736 := (* -1::int #28146) +#29737 := (+ #27310 #29736) +#29738 := (<= #29737 0::int) +#27645 := (uf_116 #27493) +#27649 := (* -1::int #27645) +#29118 := (+ #27310 #27649) +#29119 := (<= #29118 0::int) +#29091 := (= #27310 #27645) +#29592 := (= #27645 #27310) +#29585 := (= #27493 #3175) +#29612 := (= #27493 #27480) +#29613 := [symm #29049]: #29612 +#29591 := [trans #29613 #29055]: #29585 +#29588 := [monotonicity #29591]: #29592 +#29593 := [symm #29588]: #29091 +#29604 := (not #29091) +#29605 := (or #29604 #29119) +#29606 := [th-lemma]: #29605 +#29607 := [unit-resolution #29606 #29593]: #29119 +#27650 := (+ #26357 #27649) +#27651 := (+ #26356 #27650) +#27652 := (+ uf_294 #27651) +#29185 := (>= #27652 0::int) +#27653 := (= #27652 0::int) +#29089 := (or #24187 #27653) +#27646 := (= #27490 #27645) +#29085 := (or #24187 #27646) +#29108 := (iff #29085 #29089) +#29110 := (iff #29089 #29089) +#29111 := [rewrite]: #29110 +#27654 := (iff #27646 #27653) +#27655 := [rewrite]: #27654 +#29109 := [monotonicity #27655]: #29108 +#29112 := [trans #29109 #29111]: #29108 +#29086 := [quant-inst]: #29085 +#29107 := [mp #29086 #29112]: #29089 +#29608 := [unit-resolution #29107 #23688]: #27653 +#29595 := (not #27653) +#29596 := (or #29595 #29185) +#29597 := [th-lemma]: #29596 +#29598 := [unit-resolution #29597 #29608]: #29185 +#29601 := (not #27668) +#29600 := (not #27892) +#29599 := (not #27068) +#29594 := (not #29185) +#29586 := (not #29119) +#29602 := (or #29738 #29586 #29594 #29599 #29600 #29601) +#29603 := [th-lemma]: #29602 +#29625 := [unit-resolution #29603 #28258 #27679 #29598 #29607 #28054]: #29738 +#29739 := (>= #29737 0::int) +#29120 := (>= #29118 0::int) +#29626 := (or #29604 #29120) +#29616 := [th-lemma]: #29626 +#29614 := [unit-resolution #29616 #29593]: #29120 +#29196 := (<= #27652 0::int) +#29617 := (or #29595 #29196) +#29618 := [th-lemma]: #29617 +#29619 := [unit-resolution #29618 #29608]: #29196 +#29627 := (not #27893) +#29624 := (not #27073) +#29621 := (not #29196) +#29620 := (not #29120) +#29623 := (or #29739 #29620 #29621 #29624 #29627 #27714) +#29628 := [th-lemma]: #29623 +#29629 := [unit-resolution #29628 #28051 #28271 #29619 #29614 #27711]: #29739 +#29503 := (not #29739) +#29630 := (not #29738) +#29518 := (or #29735 #29630 #29503) +#29532 := [th-lemma]: #29518 +#29517 := [unit-resolution #29532 #29629 #29625]: #29735 +#29263 := [symm #29517]: #29757 +#29472 := [monotonicity #29263]: #29763 +#29767 := (= #27531 #28149) +#28104 := (uf_66 #25404 #27529 #24114) +#28136 := (= #28104 #28149) +#28137 := (not #28136) +#28107 := (uf_139 #28104 #25404) +#28108 := (= uf_9 #28107) +#28109 := (not #28108) +#28145 := (or #28109 #28137) +#28249 := (not #28145) +#29261 := (or #26114 #28249) +#28110 := (+ #27529 #26644) +#28111 := (uf_43 #24114 #28110) +#28112 := (= #28104 #28111) +#28117 := (not #28112) +#28118 := (or #28117 #28109) +#28121 := (not #28118) +#29262 := (or #26114 #28121) +#29295 := (iff #29262 #29261) +#29335 := (iff #29261 #29261) +#29336 := [rewrite]: #29335 +#28250 := (iff #28121 #28249) +#28247 := (iff #28118 #28145) +#28142 := (or #28137 #28109) +#28156 := (iff #28142 #28145) +#28157 := [rewrite]: #28156 +#28143 := (iff #28118 #28142) +#28140 := (iff #28117 #28137) +#28138 := (iff #28112 #28136) +#28150 := (= #28111 #28149) +#28147 := (= #28110 #28146) +#28148 := [rewrite]: #28147 +#28151 := [monotonicity #28148]: #28150 +#28139 := [monotonicity #28151]: #28138 +#28141 := [monotonicity #28139]: #28140 +#28144 := [monotonicity #28141]: #28143 +#28248 := [trans #28144 #28157]: #28247 +#28251 := [monotonicity #28248]: #28250 +#29334 := [monotonicity #28251]: #29295 +#29337 := [trans #29334 #29336]: #29295 +#29294 := [quant-inst]: #29262 +#29338 := [mp #29294 #29337]: #29261 +#29759 := [unit-resolution #29338 #21660]: #28249 +#29340 := (or #28145 #28136) +#29279 := [def-axiom]: #29340 +#29760 := [unit-resolution #29279 #29759]: #28136 +#29761 := (= #27531 #28104) +#29762 := [monotonicity #27948]: #29761 +#29768 := [trans #29762 #29760]: #29767 +#29473 := [trans #29768 #29472]: #29769 +#29499 := [trans #29473 #29766]: #29771 +#29656 := [monotonicity #29499]: #29773 +#29657 := [symm #29656]: #29775 +#29180 := [monotonicity #29657]: #29777 +#29677 := [trans #29180 #29780]: #29781 +#29199 := [trans #29677 #27935]: #29783 +#29181 := [monotonicity #29199]: #29264 +#29266 := [trans #29181 #28359]: #29265 +#29460 := [monotonicity #29266]: #29267 +#29462 := [monotonicity #29460]: #29461 +#29680 := [symm #29462]: #29679 +#29682 := [monotonicity #29680]: #29681 +#29683 := [mp #14796 #29682]: #29563 +#29170 := (not #27607) +#29696 := (iff #29170 #27761) +#29689 := (iff #27607 #27760) +#29693 := (iff #27760 #27607) +#29691 := (= #27759 #27606) +#29688 := (= #27163 #27605) +#29686 := (= #27605 #27163) +#29687 := [monotonicity #27692]: #29686 +#29690 := [symm #29687]: #29688 +#29692 := [monotonicity #29690]: #29691 +#29694 := [monotonicity #29692]: #29693 +#29695 := [symm #29694]: #29689 +#29697 := [monotonicity #29695]: #29696 +#29684 := [unit-resolution #27635 #22104 #14784 #29000 #29747 #29742 #27723]: #27614 +#29173 := (or #27611 #29170) +#29169 := [def-axiom]: #29173 +#29685 := [unit-resolution #29169 #29684]: #29170 +#29698 := [mp #29685 #29697]: #27761 +#29577 := (or #27819 #27760) +#29578 := [def-axiom]: #29577 +#29699 := [unit-resolution #29578 #29698]: #27819 +#29709 := (or #27833 #27770 #27810 #27822) +#29792 := (not #29735) +#29793 := (or #29792 #27772) +#29788 := (= #2967 #27771) +#29785 := (= #27771 #2967) +#29756 := [hypothesis]: #29735 +#29758 := [symm #29756]: #29757 +#29764 := [monotonicity #29758]: #29763 +#29770 := [trans #29768 #29764]: #29769 +#29772 := [trans #29770 #29766]: #29771 +#29774 := [monotonicity #29772]: #29773 +#29776 := [symm #29774]: #29775 +#29778 := [monotonicity #29776]: #29777 +#29782 := [trans #29778 #29780]: #29781 +#29784 := [trans #29782 #27935]: #29783 +#29786 := [monotonicity #29784]: #29785 +#29789 := [symm #29786]: #29788 +#29790 := [trans #14799 #29789]: #27772 +#29458 := (not #27772) +#29740 := [hypothesis]: #29458 +#29791 := [unit-resolution #29740 #29790]: false +#29794 := [lemma #29791]: #29793 +#29702 := [unit-resolution #29794 #29517]: #27772 +#29528 := (or #27813 #29458) +#29529 := [def-axiom]: #29528 +#29703 := [unit-resolution #29529 #29702]: #27813 +#29571 := (or #27833 #27770 #27810 #27816 #27822) +#29572 := [def-axiom]: #29571 +#29710 := [unit-resolution #29572 #29703]: #29709 +#29711 := [unit-resolution #29710 #29699 #29683 #29188 #29637]: false +#29712 := [lemma #29711]: #12812 +#23247 := (not #19374) +#29440 := [hypothesis]: #23803 +#23427 := (or #23812 #23800) +#23522 := [def-axiom]: #23427 +#29504 := [unit-resolution #23522 #29440]: #23812 +#23396 := (or #23806 #23800) +#23538 := [def-axiom]: #23396 +#29505 := [unit-resolution #23538 #29440]: #23806 +#29542 := (or #23818 #23809) +#23403 := (or #23906 #14046) +#23404 := [def-axiom]: #23403 +#29536 := [unit-resolution #23404 #29231]: #23906 +#29537 := [unit-resolution #23380 #29536 #29225]: #23875 +#23447 := (or #23872 #23866) +#23448 := [def-axiom]: #23447 +#29538 := [unit-resolution #23448 #29537]: #23866 +#27307 := (or #23818 #23809 #19008 #23869) +#27389 := [hypothesis]: #23821 +#23428 := (or #23818 #12812) +#23429 := [def-axiom]: #23428 +#27390 := [unit-resolution #23429 #27389]: #12812 +#23411 := (or #23818 #12806) +#23426 := [def-axiom]: #23411 +#27391 := [unit-resolution #23426 #27389]: #12806 +#27392 := [hypothesis]: #12803 +#27387 := [hypothesis]: #23866 +#23466 := (or #23869 #19008 #19011 #23863) +#23461 := [def-axiom]: #23466 +#27393 := [unit-resolution #23461 #27391 #27387 #27392]: #23863 +#23475 := (or #23860 #23854) +#23470 := [def-axiom]: #23475 +#27394 := [unit-resolution #23470 #27393]: #23854 +#23468 := (or #23857 #19011 #19017 #23851) +#23469 := [def-axiom]: #23468 +#27395 := [unit-resolution #23469 #27394 #27391 #27390]: #23851 +#27396 := [hypothesis]: #23806 +#23528 := (or #23824 #23818) +#23515 := [def-axiom]: #23528 +#27397 := [unit-resolution #23515 #27389]: #23824 +#23521 := (or #23833 #19008 #19011 #23827) +#23510 := [def-axiom]: #23521 +#27304 := [unit-resolution #23510 #27397 #27392 #27391]: #23833 +#23499 := (or #23836 #23830) +#23501 := [def-axiom]: #23499 +#27305 := [unit-resolution #23501 #27304]: #23836 +#23492 := (or #23845 #23809 #23839) +#23494 := [def-axiom]: #23492 +#27306 := [unit-resolution #23494 #27305 #27396]: #23845 +#23482 := (or #23848 #23842) +#23483 := [def-axiom]: #23482 +#27269 := [unit-resolution #23483 #27306 #27395]: false +#27303 := [lemma #27269]: #27307 +#29521 := [unit-resolution #27303 #29001 #29538]: #29542 +#29525 := [unit-resolution #29521 #29505]: #23818 +#29520 := (or #23821 #19017 #23815) +#23431 := (or #23821 #19011 #19017 #23815) +#23432 := [def-axiom]: #23431 +#29526 := [unit-resolution #23432 #29138]: #29520 +#29527 := [unit-resolution #29526 #29525 #29504 #29712]: false +#29530 := [lemma #29527]: #23800 +#29896 := (or #23803 #23797) +#16270 := (<= uf_272 131073::int) +#16273 := (iff #13872 #16270) +#16264 := (+ 131073::int #13873) +#16267 := (>= #16264 0::int) +#16271 := (iff #16267 #16270) +#16272 := [rewrite]: #16271 +#16268 := (iff #13872 #16267) +#16265 := (= #13874 #16264) +#16266 := [monotonicity #7888]: #16265 +#16269 := [monotonicity #16266]: #16268 +#16274 := [trans #16269 #16272]: #16273 +#14787 := [not-or-elim #14776]: #13880 +#14788 := [and-elim #14787]: #13872 +#16275 := [mp #14788 #16274]: #16270 +#29232 := [hypothesis]: #19037 +#29233 := [th-lemma #29232 #29231 #16275]: false +#29234 := [lemma #29233]: #16368 +#29894 := (or #23803 #19037 #23797) +#29891 := (or #14243 #14088) +#29892 := [th-lemma]: #29891 +#29893 := [unit-resolution #29892 #28992]: #14088 +#23558 := (or #23803 #19034 #19037 #23797) +#23555 := [def-axiom]: #23558 +#29895 := [unit-resolution #23555 #29893]: #29894 +#29897 := [unit-resolution #29895 #29234]: #29896 +#29898 := [unit-resolution #29897 #29530]: #23797 +#23561 := (or #23794 #23788) +#23565 := [def-axiom]: #23561 +#29899 := [unit-resolution #23565 #29898]: #23788 +#23271 := (>= #14169 -1::int) +#23285 := (or #23794 #14168) +#23286 := [def-axiom]: #23285 +#29900 := [unit-resolution #23286 #29898]: #14168 +#29901 := (or #14172 #23271) +#29902 := [th-lemma]: #29901 +#29903 := [unit-resolution #29902 #29900]: #23271 +#29238 := (not #23271) +#29239 := (or #14100 #29238) +#29201 := [hypothesis]: #23271 +#29202 := [hypothesis]: #14105 +#29237 := [th-lemma #29202 #29231 #29201]: false +#29240 := [lemma #29237]: #29239 +#29904 := [unit-resolution #29240 #29903]: #14100 +#23580 := (or #23791 #14105 #23785) +#23566 := [def-axiom]: #23580 +#29905 := [unit-resolution #23566 #29904 #29899]: #23785 +#23575 := (or #23782 #23776) +#23213 := [def-axiom]: #23575 +#29906 := [unit-resolution #23213 #29905]: #23776 +#29920 := (= #3068 #3209) +#29918 := (= #3209 #3068) +#29914 := (= #3208 #3067) +#29912 := (= #3208 #27327) +#29910 := (= uf_301 #26964) +#29907 := [hypothesis]: #23809 +#23549 := (or #23806 #12826) +#23550 := [def-axiom]: #23549 +#29908 := [unit-resolution #23550 #29907]: #12826 +#29909 := [symm #29908]: #3189 +#29911 := [trans #29909 #27438]: #29910 +#29913 := [monotonicity #29911]: #29912 +#29915 := [trans #29913 #27639]: #29914 +#29919 := [monotonicity #29915]: #29918 +#29921 := [symm #29919]: #29920 +#29922 := (= uf_300 #3068) +#23559 := (or #23806 #12823) +#23548 := [def-axiom]: #23559 +#29916 := [unit-resolution #23548 #29907]: #12823 +#29917 := [symm #29916]: #3187 +#29923 := [trans #29917 #29222]: #29922 +#29924 := [trans #29923 #29921]: #12862 +#28863 := (+ uf_293 #14142) +#28865 := (>= #28863 0::int) +#29925 := (or #12993 #28865) +#29926 := [th-lemma]: #29925 +#29927 := [unit-resolution #29926 #29908]: #28865 +#29483 := (not #28865) +#29930 := (or #14145 #29483) +#29928 := (or #14145 #14404 #29483) +#29929 := [th-lemma]: #29928 +#29931 := [unit-resolution #29929 #29223]: #29930 +#29932 := [unit-resolution #29931 #29927]: #14145 +#23374 := (or #22784 #22782 #14144) +#23581 := [def-axiom]: #23374 +#29933 := [unit-resolution #23581 #29932 #29924]: #22784 +#23255 := (or #23770 #22783) +#23256 := [def-axiom]: #23255 +#29934 := [unit-resolution #23256 #29933]: #23770 +#23572 := (or #23779 #23773 #22836) +#23573 := [def-axiom]: #23572 +#29935 := [unit-resolution #23573 #29934 #29906]: #22836 +#23583 := (or #22831 #23247) +#23243 := [def-axiom]: #23583 +#29936 := [unit-resolution #23243 #29935]: #23247 +#29307 := (+ uf_294 #19372) +#29860 := (>= #29307 0::int) +#29955 := (not #29860) +#29855 := (= uf_294 ?x785!14) +#29888 := (not #29855) +#29858 := (= #3184 #19060) +#29864 := (not #29858) +#29859 := (+ #3184 #19385) +#29861 := (>= #29859 0::int) +#29871 := (not #29861) +#23394 := (or #23806 #14207) +#23395 := [def-axiom]: #23394 +#29937 := [unit-resolution #23395 #29907]: #14207 +#29541 := (+ uf_292 #14120) +#29539 := (<= #29541 0::int) +#29938 := (or #13002 #29539) +#29939 := [th-lemma]: #29938 +#29940 := [unit-resolution #29939 #29916]: #29539 +#23227 := (or #22831 #23584) +#23568 := [def-axiom]: #23227 +#29941 := [unit-resolution #23568 #29935]: #23584 +#29872 := (not #29539) +#29873 := (or #29871 #19387 #29872 #14211) +#29866 := [hypothesis]: #14207 +#29867 := [hypothesis]: #29539 +#29868 := [hypothesis]: #23584 +#29869 := [hypothesis]: #29861 +#29870 := [th-lemma #29869 #29868 #29867 #29866]: false +#29874 := [lemma #29870]: #29873 +#29942 := [unit-resolution #29874 #29941 #29940 #29937]: #29871 +#29865 := (or #29864 #29861) +#29875 := [th-lemma]: #29865 +#29943 := [unit-resolution #29875 #29942]: #29864 +#29889 := (or #29888 #29858) +#29884 := (= #19060 #3184) +#29882 := (= #19059 #3175) +#29880 := (= ?x785!14 uf_294) +#29879 := [hypothesis]: #29855 +#29881 := [symm #29879]: #29880 +#29883 := [monotonicity #29881]: #29882 +#29885 := [monotonicity #29883]: #29884 +#29886 := [symm #29885]: #29858 +#29878 := [hypothesis]: #29864 +#29887 := [unit-resolution #29878 #29886]: false +#29890 := [lemma #29887]: #29889 +#29944 := [unit-resolution #29890 #29943]: #29888 +#29958 := (or #29855 #29955) +#29308 := (<= #29307 0::int) +#29319 := (+ uf_292 #19385) +#29320 := (>= #29319 0::int) +#29945 := (not #29320) +#29946 := (or #29945 #19387 #29872) +#29947 := [th-lemma]: #29946 +#29948 := [unit-resolution #29947 #29940 #29941]: #29945 +#29951 := (or #29308 #29320) +#23582 := (or #22831 #19056) +#23242 := [def-axiom]: #23582 +#29949 := [unit-resolution #23242 #29935]: #19056 +#23586 := (or #22831 #19055) +#23592 := [def-axiom]: #23586 +#29950 := [unit-resolution #23592 #29935]: #19055 +#29802 := (or #23759 #22815 #22816 #29308 #29320) +#29296 := (+ #19060 #14431) +#29297 := (<= #29296 0::int) +#29298 := (+ ?x785!14 #14044) +#29299 := (>= #29298 0::int) +#29300 := (or #22816 #29299 #29297 #22815) +#29803 := (or #23759 #29300) +#29810 := (iff #29803 #29802) +#29328 := (or #22815 #22816 #29308 #29320) +#29805 := (or #23759 #29328) +#29808 := (iff #29805 #29802) +#29809 := [rewrite]: #29808 +#29806 := (iff #29803 #29805) +#29331 := (iff #29300 #29328) +#29325 := (or #22816 #29308 #29320 #22815) +#29329 := (iff #29325 #29328) +#29330 := [rewrite]: #29329 +#29326 := (iff #29300 #29325) +#29323 := (iff #29297 #29320) +#29313 := (+ #14431 #19060) +#29316 := (<= #29313 0::int) +#29321 := (iff #29316 #29320) +#29322 := [rewrite]: #29321 +#29317 := (iff #29297 #29316) +#29314 := (= #29296 #29313) +#29315 := [rewrite]: #29314 +#29318 := [monotonicity #29315]: #29317 +#29324 := [trans #29318 #29322]: #29323 +#29311 := (iff #29299 #29308) +#29301 := (+ #14044 ?x785!14) +#29304 := (>= #29301 0::int) +#29309 := (iff #29304 #29308) +#29310 := [rewrite]: #29309 +#29305 := (iff #29299 #29304) +#29302 := (= #29298 #29301) +#29303 := [rewrite]: #29302 +#29306 := [monotonicity #29303]: #29305 +#29312 := [trans #29306 #29310]: #29311 +#29327 := [monotonicity #29312 #29324]: #29326 +#29332 := [trans #29327 #29330]: #29331 +#29807 := [monotonicity #29332]: #29806 +#29811 := [trans #29807 #29809]: #29810 +#29804 := [quant-inst]: #29803 +#29812 := [mp #29804 #29811]: #29802 +#29952 := [unit-resolution #29812 #29221 #29950 #29949]: #29951 +#29953 := [unit-resolution #29952 #29948]: #29308 +#29954 := (not #29308) +#29956 := (or #29855 #29954 #29955) +#29957 := [th-lemma]: #29956 +#29959 := [unit-resolution #29957 #29953]: #29958 +#29960 := [unit-resolution #29959 #29944]: #29955 +#29961 := [th-lemma #29903 #29960 #29936]: false +#29962 := [lemma #29961]: #23806 +#29633 := [unit-resolution #29521 #29962]: #23818 +#29615 := [unit-resolution #29526 #29633 #29712]: #23815 +#23534 := (or #23812 #13075) +#23416 := [def-axiom]: #23534 +#29713 := [unit-resolution #23416 #29615]: #13075 +#29142 := (or #13081 #23536) +#29708 := [th-lemma]: #29142 +#29714 := [unit-resolution #29708 #29713]: #23536 +#29715 := [hypothesis]: #14144 +#29716 := [th-lemma #29715 #29714 #29231]: false +#29717 := [lemma #29716]: #14145 +#29990 := (or #22784 #14144) +#29985 := (= #3184 #3209) +#29982 := (= #3209 #3184) +#29979 := (= #3208 #3175) +#29978 := [symm #29713]: #3247 +#29980 := [monotonicity #29978]: #29979 +#29983 := [monotonicity #29980]: #29982 +#29986 := [symm #29983]: #29985 +#29987 := (= uf_300 #3184) +#23533 := (or #23812 #13070) +#23531 := [def-axiom]: #23533 +#29977 := [unit-resolution #23531 #29615]: #13070 +#29984 := [symm #29977]: #3240 +#23373 := (or #23812 #3246) +#23375 := [def-axiom]: #23373 +#29981 := [unit-resolution #23375 #29615]: #3246 +#29988 := [trans #29981 #29984]: #29987 +#29989 := [trans #29988 #29986]: #12862 +#29991 := [unit-resolution #23581 #29989]: #29990 +#29992 := [unit-resolution #29991 #29717]: #22784 +#29993 := [unit-resolution #23256 #29992]: #23770 +#29994 := [unit-resolution #23573 #29906]: #23776 +#29995 := [unit-resolution #29994 #29993]: #22836 +#30004 := [unit-resolution #23568 #29995]: #23584 +#30026 := (or #29945 #19387) +#29570 := (+ #3184 #14120) +#29587 := (<= #29570 0::int) +#29569 := (= #3184 uf_300) +#30005 := (= uf_304 uf_300) +#30006 := [symm #29981]: #30005 +#30007 := [trans #29977 #30006]: #29569 +#30008 := (not #29569) +#30009 := (or #30008 #29587) +#30010 := [th-lemma]: #30009 +#30011 := [unit-resolution #30010 #30007]: #29587 +#30016 := (or #19017 #23851) +#30012 := (or #19011 #23863) +#30013 := [unit-resolution #23461 #29001 #29538]: #30012 +#30014 := [unit-resolution #30013 #29138]: #23863 +#30015 := [unit-resolution #23470 #30014]: #23854 +#30017 := [unit-resolution #23469 #29138 #30015]: #30016 +#30018 := [unit-resolution #30017 #29712]: #23851 +#30019 := [unit-resolution #23483 #30018]: #23842 +#30020 := [unit-resolution #23494 #29962 #30019]: #23839 +#23514 := (or #23836 #14211) +#23498 := [def-axiom]: #23514 +#30021 := [unit-resolution #23498 #30020]: #14211 +#30022 := (not #29587) +#30023 := (or #29539 #14207 #30022) +#30024 := [th-lemma]: #30023 +#30025 := [unit-resolution #30024 #30021 #30011]: #29539 +#30027 := [unit-resolution #29947 #30025]: #30026 +#30028 := [unit-resolution #30027 #30004]: #29945 +#30029 := [unit-resolution #23242 #29995]: #19056 +#30030 := [unit-resolution #23592 #29995]: #19055 +#30031 := [unit-resolution #29812 #29221 #30030 #30029 #30028]: #29308 +#29996 := [unit-resolution #23243 #29995]: #23247 +#29997 := [hypothesis]: #29955 +#29998 := [th-lemma #29903 #29997 #29996]: false +#29999 := [lemma #29998]: #29860 +#30032 := [unit-resolution #29957 #29999 #30031]: #29855 +#30033 := [unit-resolution #29890 #30032]: #29858 +#30034 := [unit-resolution #29875 #30033]: #29861 +[th-lemma #30011 #30034 #30004]: false +unsat diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Tools/boogie_commands.ML --- a/src/HOL/Boogie/Tools/boogie_commands.ML Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/Boogie/Tools/boogie_commands.ML Thu Nov 05 14:48:40 2009 +0100 @@ -40,7 +40,11 @@ fun store thm = Boogie_VCs.discharge (name, thm) fun after_qed [[thm]] = LocalTheory.theory (store thm) | after_qed _ = I - in lthy |> Proof.theorem_i NONE after_qed [[(vc, [])]] end) + in + lthy + |> Variable.auto_fixes vc + |> Proof.theorem_i NONE after_qed [[(vc, [])]] + end) fun boogie_end thy = let diff -r cba964797872 -r f0c78a28e18e src/HOL/Boogie/Tools/boogie_loader.ML --- a/src/HOL/Boogie/Tools/boogie_loader.ML Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/Boogie/Tools/boogie_loader.ML Thu Nov 05 14:48:40 2009 +0100 @@ -19,7 +19,7 @@ val isabelle_name = let - fun purge s = if Symbol.is_letdig s then s else + fun purge s = if Symbol.is_letter s orelse Symbol.is_digit s then s else (case s of "." => "_o_" | "_" => "_n_" @@ -30,6 +30,11 @@ | _ => ("_" ^ string_of_int (ord s) ^ "_")) in prefix "b_" o translate_string purge end +val short_name = + translate_string (fn s => if Symbol.is_letdig s then s else "") + +fun label_name line col = "L_" ^ string_of_int line ^ "_" ^ string_of_int col + datatype attribute_value = StringValue of string | TermValue of Term.term @@ -193,20 +198,38 @@ +local + fun burrow_distinct eq f xs = + let + val ys = distinct eq xs + val tab = ys ~~ f ys + in map (the o AList.lookup eq tab) xs end + + fun indexed names = + let + val dup = member (op =) (duplicates (op =) (map fst names)) + fun make_name (n, i) = n ^ (if dup n then "_" ^ string_of_int i else "") + in map make_name names end + + fun rename idx_names = + idx_names + |> burrow_fst (burrow_distinct (op =) + (map short_name #> ` (duplicates (op =)) #-> Name.variant_list)) + |> indexed +in fun add_vcs verbose vcs thy = let - val reused = duplicates (op =) (map (fst o fst) vcs) - fun rename (n, i) = isabelle_name n ^ - (if member (op =) reused n then "_" ^ string_of_int i else "") - - fun decorate (name, t) = (rename name, HOLogic.mk_Trueprop t) - val vcs' = map decorate vcs + val vcs' = + vcs + |> burrow_fst rename + |> map (apsnd HOLogic.mk_Trueprop) in thy |> Boogie_VCs.set vcs' |> log verbose "The following verification conditions were loaded:" (map fst vcs') end +end @@ -314,7 +337,7 @@ quant "forall" HOLogic.all_const || quant "exists" HOLogic.exists_const || scan_fail "illegal quantifier kind" - fun mk_quant q (n, T) t = q T $ Term.absfree (isabelle_name n, T, t) + fun mk_quant q (n, T) t = q T $ Term.absfree (n, T, t) val patternT = @{typ pattern} fun mk_pattern _ [] = raise TERM ("mk_pattern", []) @@ -366,6 +389,31 @@ val T1 = Term.fastype_of t1 and T2 = Term.fastype_of t2 val U = mk_wordT (dest_wordT T1 + dest_wordT T2) in Const (@{const_name boogie_bv_concat}, [T1, T2] ---> U) $ t1 $ t2 end + + val var_name = str >> prefix "V" + val dest_var_name = unprefix "V" + fun rename_variables t = + let + fun make_context names = Name.make_context (duplicates (op =) names) + fun short_var_name n = short_name (dest_var_name n) + + val (names, nctxt) = + Term.add_free_names t [] + |> map_filter (try (fn n => (n, short_var_name n))) + |> split_list + ||>> (fn names => Name.variants names (make_context names)) + |>> Symtab.make o (op ~~) + + fun rename_free n = the_default n (Symtab.lookup names n) + fun rename_abs n = yield_singleton Name.variants (short_var_name n) + + fun rename _ (Free (n, T)) = Free (rename_free n, T) + | rename nctxt (Abs (n, T, t)) = + let val (n', nctxt') = rename_abs n nctxt + in Abs (n', T, rename nctxt' t) end + | rename nctxt (t $ u) = rename nctxt t $ rename nctxt u + | rename _ t = t + in rename nctxt t end in fun expr tds fds = let @@ -385,12 +433,12 @@ (fn [] => @{term True} | ts as (t :: _) => mk_distinct (Term.fastype_of t) ts) || binexp "=" HOLogic.mk_eq || - scan_line "var" str -- typ tds >> (Free o apfst isabelle_name) || + scan_line "var" var_name -- typ tds >> Free || scan_line "fun" (str -- num) :|-- (fn (name, arity) => scan_lookup "constant" fds name -- scan_count exp arity >> Term.list_comb) || quants :|-- (fn (q, ((n, k), i)) => - scan_count (scan_line "var" str -- typ tds) n -- + scan_count (scan_line "var" var_name -- typ tds) n -- scan_count (pattern exp) k -- scan_count (attribute tds fds) i -- exp >> (fn (((vs, ps), _), t) => @@ -398,8 +446,7 @@ scan_line "label" (label_kind -- num -- num) -- exp >> (fn (((l, line), col), t) => if line = 0 orelse col = 0 then t - else l $ Free ("L_" ^ string_of_int line ^ "_" ^ string_of_int col, - @{typ bool}) $ t) || + else l $ Free (label_name line col, @{typ bool}) $ t) || scan_line "int-num" num >> HOLogic.mk_number @{typ int} || binexp "<" (binop @{term "op < :: int => _"}) || binexp "<=" (binop @{term "op <= :: int => _"}) || @@ -421,7 +468,7 @@ scan_line "bv-extract" (num -- num) -- exp >> mk_extract || binexp "bv-concat" mk_concat || scan_fail "illegal expression") st - in exp end + in exp >> rename_variables end and attribute tds fds = let diff -r cba964797872 -r f0c78a28e18e src/HOL/IsaMakefile --- a/src/HOL/IsaMakefile Thu Nov 05 14:41:37 2009 +0100 +++ b/src/HOL/IsaMakefile Thu Nov 05 14:48:40 2009 +0100 @@ -1401,12 +1401,12 @@ Boogie/Examples/Boogie_Max.thy Boogie/Examples/Boogie_Max.b2i \ Boogie/Examples/Boogie_Dijkstra.thy Boogie/Examples/VCC_Max.thy \ Boogie/Examples/Boogie_Dijkstra.b2i Boogie/Examples/VCC_Max.b2i \ - Boogie/Examples/cert/Boogie_b_max \ - Boogie/Examples/cert/Boogie_b_max.proof \ - Boogie/Examples/cert/Boogie_b_Dijkstra \ - Boogie/Examples/cert/Boogie_b_Dijkstra.proof \ - Boogie/Examples/cert/VCC_b_maximum \ - Boogie/Examples/cert/VCC_b_maximum.proof + Boogie/Examples/cert/Boogie_max \ + Boogie/Examples/cert/Boogie_max.proof \ + Boogie/Examples/cert/Boogie_Dijkstra \ + Boogie/Examples/cert/Boogie_Dijkstra.proof \ + Boogie/Examples/cert/VCC_maximum \ + Boogie/Examples/cert/VCC_maximum.proof @cd Boogie; $(ISABELLE_TOOL) usedir $(OUT)/HOL-Boogie Examples