TSTP Solution File: SWW000_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW000_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:48:50 EDT 2023
% Result : Theorem 19.42s 3.39s
% Output : Proof 24.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW000_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 21:41:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.63 ________ _____
% 0.20/0.63 ___ __ \_________(_)________________________________
% 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.97/1.72 Prover 4: Preprocessing ...
% 6.97/1.74 Prover 1: Preprocessing ...
% 7.55/1.76 Prover 5: Preprocessing ...
% 7.55/1.76 Prover 0: Preprocessing ...
% 7.55/1.76 Prover 2: Preprocessing ...
% 7.55/1.76 Prover 6: Preprocessing ...
% 7.55/1.76 Prover 3: Preprocessing ...
% 16.39/2.97 Prover 6: Proving ...
% 16.39/2.97 Prover 1: Constructing countermodel ...
% 16.61/3.01 Prover 3: Constructing countermodel ...
% 19.42/3.38 Prover 3: proved (2730ms)
% 19.42/3.38
% 19.42/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.42/3.39
% 19.42/3.40 Prover 6: stopped
% 19.42/3.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.42/3.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 20.63/3.56 Prover 1: Found proof (size 32)
% 20.63/3.56 Prover 1: proved (2909ms)
% 21.39/3.65 Prover 8: Preprocessing ...
% 21.39/3.65 Prover 7: Preprocessing ...
% 22.39/3.85 Prover 5: Proving ...
% 22.39/3.85 Prover 5: stopped
% 22.39/3.86 Prover 0: Proving ...
% 22.39/3.87 Prover 0: stopped
% 22.39/3.87 Prover 2: Proving ...
% 22.39/3.88 Prover 2: stopped
% 22.39/3.88 Prover 4: Constructing countermodel ...
% 22.39/3.88 Prover 4: stopped
% 23.29/3.93 Prover 7: stopped
% 23.56/3.94 Prover 8: Warning: ignoring some quantifiers
% 23.56/3.95 Prover 8: Constructing countermodel ...
% 23.56/3.95 Prover 8: stopped
% 23.56/3.95
% 23.56/3.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.56/3.95
% 23.56/3.96 % SZS output start Proof for theBenchmark
% 23.56/3.96 Assumptions after simplification:
% 23.56/3.96 ---------------------------------
% 23.56/3.96
% 23.56/3.96 (0)
% 23.86/4.06 ? [v0: int] : ( ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~
% 23.86/4.06 (z4 = z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 23.86/4.06 $lesseq(v0, 2) & $lesseq(1, $difference(z1, z2)) & b(z3) = 5 & b(z2) = v0 &
% 23.86/4.06 b(z1) = 2 & a(z4) = 2 & a(z3) = 5 & a(z2) = 10 & a(z1) = 5 & ! [v1: int] :
% 23.86/4.06 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 23.86/4.06 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 3)) | ~
% 23.86/4.06 ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) |
% 23.86/4.06 ~ (b(v3) = v6) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ? [v7: int] : ?
% 23.86/4.06 [v8: int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9
% 23.86/4.06 = 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 23.86/4.06 ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 =
% 23.86/4.06 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5,
% 23.86/4.06 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~
% 23.86/4.06 (b(v3) = 2) | ~ (b(v2) = v6) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8:
% 23.86/4.06 int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 =
% 23.86/4.06 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 23.86/4.06 ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 |
% 23.86/4.06 v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1,
% 23.86/4.06 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 23.86/4.06 (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & (
% 23.86/4.06 ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 23.86/4.06 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 23.86/4.06 v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2)))
% 23.86/4.06 | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 2) | ?
% 23.86/4.06 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 23.86/4.06 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 23.86/4.06 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 23.86/4.06 ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5)
% 23.86/4.06 | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 1) | ? [v6: int] : ?
% 23.86/4.06 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & !
% 23.86/4.06 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 23.86/4.06 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 23.86/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~
% 23.86/4.06 (b(v2) = v5) | ~ (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7
% 23.86/4.06 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2:
% 23.86/4.06 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 23.86/4.06 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 23.86/4.06 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) =
% 23.86/4.06 v5) | ~ (a(v1) = 4) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2)
% 23.86/4.06 = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : !
% 23.86/4.06 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 23.86/4.06 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 23.86/4.06 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 23.86/4.06 (a(v1) = 2) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~
% 23.86/4.06 (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 23.86/4.06 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 23.86/4.06 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 23.86/4.06 | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 1) | ?
% 23.86/4.06 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 23.86/4.06 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 23.86/4.06 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 23.86/4.06 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 23.86/4.06 | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 23.86/4.06 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 23.86/4.06 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 23.86/4.06 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 23.86/4.06 (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 4) | ? [v6:
% 23.86/4.06 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 23.86/4.06 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 23.86/4.06 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 23.86/4.06 v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 23.86/4.06 (b(v1) = 5) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 23.86/4.06 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 5) | ~ (v7 = 10) | ~ (v6 = 5)))) &
% 23.86/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 23.86/4.06 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 23.86/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 23.86/4.06 (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 &
% 23.86/4.06 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2:
% 23.86/4.06 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 23.86/4.06 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 23.86/4.06 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) =
% 23.86/4.06 5) | ~ (a(v3) = 6) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1)
% 23.86/4.06 = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: int] : !
% 23.86/4.06 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 23.86/4.06 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 23.86/4.06 v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~
% 23.86/4.06 (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~
% 23.86/4.06 (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 23.86/4.06 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 23.86/4.06 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 23.86/4.06 | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 5) | ?
% 23.86/4.06 [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~
% 23.86/4.06 (v6 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 23.86/4.06 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 23.86/4.06 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 23.86/4.06 | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 23.86/4.06 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 23.86/4.06 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 23.86/4.06 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 23.86/4.06 (b(v4) = 2) | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 4) | ? [v6:
% 23.86/4.06 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 23.86/4.06 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 23.86/4.06 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 23.86/4.06 v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~
% 23.86/4.06 (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] :
% 23.86/4.06 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 =
% 23.86/4.06 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 23.86/4.06 $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) =
% 23.86/4.06 2) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & !
% 23.86/4.06 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 23.86/4.06 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 23.86/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 23.86/4.06 (a(v4) = 1) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 23.86/4.06 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 23.86/4.06 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 23.86/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~
% 23.86/4.06 (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 23.86/4.06 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 23.86/4.06 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~
% 23.86/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 23.86/4.06 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 24.15/4.06 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 24.15/4.06 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(v4, 3)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 24.15/4.06 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 24.15/4.06 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.06 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.06 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 24.15/4.06 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 24.15/4.06 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] :
% 24.15/4.06 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 24.15/4.06 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 24.15/4.06 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.06 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.06 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 24.15/4.06 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 24.15/4.06 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 24.15/4.06 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 24.15/4.06 (a(v1) = 12) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & (
% 24.15/4.06 ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.06 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 24.15/4.06 (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 24.15/4.06 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.06 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 24.15/4.06 (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 24.15/4.06 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.06 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v4) | ~
% 24.15/4.06 (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = v5)) & ! [v1: int] :
% 24.15/4.06 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 24.15/4.06 ~ (b(v2) = v4) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 24.15/4.06 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 24.15/4.06 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 24.15/4.06 | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ?
% 24.15/4.06 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7
% 24.15/4.06 = 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int]
% 24.15/4.06 : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) |
% 24.15/4.06 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) |
% 24.15/4.06 ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 24.15/4.06 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.06 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.06 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 24.15/4.06 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 24.15/4.06 7) | ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v1: int] : ! [v2: int] :
% 24.15/4.06 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 24.15/4.06 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 24.15/4.06 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.06 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.06 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 24.15/4.06 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 24.15/4.06 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 24.15/4.06 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.06 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 24.15/4.06 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 24.15/4.06 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 6) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 24.15/4.06 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.06 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.06 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (a(v1) = 12) | ? [v5: int] : ? [v6:
% 24.15/4.06 int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & !
% 24.15/4.06 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1
% 24.15/4.06 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 24.15/4.06 2) | ~ (b(v2) = v4) | ~ (a(v1) = 5) | ? [v5: int] : ? [v6: int] :
% 24.15/4.06 (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] :
% 24.15/4.06 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 24.15/4.06 ~ (b(v2) = v4) | ~ (a(v1) = 4) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 24.15/4.06 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 24.15/4.06 ~ (b(v2) = v4) | ~ (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 24.15/4.06 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 24.15/4.06 ~ (b(v2) = v4) | ~ (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 24.15/4.06 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 24.15/4.06 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.06 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 24.15/4.06 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.06 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 24.15/4.06 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.06 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 24.15/4.06 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.06 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 24.15/4.06 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 24.15/4.06 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 24.15/4.06 | ~ (a(v3) = 8) | ~ (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 24.15/4.06 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 24.15/4.06 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 24.15/4.06 | ~ (b(v2) = v4) | ~ (a(v3) = 8) | ~ (a(v1) = 6) | ? [v5: int] : ( ~
% 24.15/4.06 (v5 = 10) & a(v2) = v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.06 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 24.15/4.06 ~ (b(v2) = 2) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 24.15/4.06 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 24.15/4.06 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 24.15/4.06 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 24.15/4.07 : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 7) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 2)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 1)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 24.15/4.07 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 24.15/4.07 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 24.15/4.07 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 24.15/4.07 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.07 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 24.15/4.07 ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 24.15/4.07 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 24.15/4.07 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (a(v3) = 8) |
% 24.15/4.07 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 24.15/4.07 : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.07 $difference(v1, v2))) | ~ (b(v2) = v3) | ~ (a(v1) = 9) | ? [v4:
% 24.15/4.07 int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] : ! [v2: int] : !
% 24.15/4.07 [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 24.15/4.07 (b(v2) = v3) | ~ (a(v1) = 8) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 24.15/4.07 v4)) & ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ (a(v2) = 10) | ~
% 24.15/4.07 (a(v1) = 10)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 24.15/4.07 (b(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 24.15/4.07 (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(13, v2)) |
% 24.15/4.07 ~ (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(6, v2)) |
% 24.15/4.07 ~ (b(v1) = v2)))
% 24.15/4.07
% 24.15/4.07 (function-axioms)
% 24.15/4.07 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (b(v2) = v1) | ~
% 24.15/4.07 (b(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 24.15/4.07 (a(v2) = v1) | ~ (a(v2) = v0))
% 24.15/4.07
% 24.15/4.07 Those formulas are unsatisfiable:
% 24.15/4.07 ---------------------------------
% 24.15/4.07
% 24.15/4.07 Begin of proof
% 24.15/4.07 |
% 24.15/4.07 | ALPHA: (function-axioms) implies:
% 24.15/4.07 | (1) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1)
% 24.15/4.07 | | ~ (a(v2) = v0))
% 24.15/4.07 |
% 24.15/4.07 | DELTA: instantiating (0) with fresh symbol all_3_0 gives:
% 24.15/4.11 | (2) ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ (z4 =
% 24.15/4.11 | z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 24.15/4.11 | $lesseq(all_3_0, 2) & $lesseq(1, $difference(z1, z2)) & b(z3) = 5 &
% 24.15/4.11 | b(z2) = all_3_0 & b(z1) = 2 & a(z4) = 2 & a(z3) = 5 & a(z2) = 10 &
% 24.15/4.11 | a(z1) = 5 & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 24.15/4.11 | ! [v4: int] : ! [v5: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 24.15/4.11 | v2 = v0 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 24.15/4.11 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 24.15/4.11 | (b(v1) = 2) | ~ (b(v0) = v4) | ? [v6: int] : ? [v7: int] : ? [v8:
% 24.15/4.11 | int] : (a(v2) = v8 & a(v1) = v7 & a(v0) = v6 & ( ~ (v8 = 7) | ~
% 24.15/4.11 | (v7 = 10) | ~ (v6 = 3)))) & ! [v0: int] : ! [v1: int] : !
% 24.15/4.11 | [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3
% 24.15/4.11 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v5, 2)) | ~
% 24.15/4.11 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 24.15/4.12 | 5) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ? [v6:
% 24.15/4.12 | int] : ? [v7: int] : ? [v8: int] : (a(v2) = v8 & a(v1) = v7 &
% 24.15/4.12 | a(v0) = v6 & ( ~ (v8 = 7) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 24.15/4.12 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 3))
% 24.15/4.12 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) =
% 24.15/4.12 | v4) | ~ (b(v1) = 2) | ~ (a(v0) = 12) | ? [v5: int] : ? [v6:
% 24.15/4.12 | int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) &
% 24.15/4.12 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 24.15/4.12 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4,
% 24.15/4.12 | 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~
% 24.15/4.12 | (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 2) | ? [v5: int] : ?
% 24.15/4.12 | [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10))))
% 24.15/4.12 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 24.15/4.12 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 24.15/4.12 | 5) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v5:
% 24.15/4.12 | int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~
% 24.15/4.12 | (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 24.15/4.12 | [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2
% 24.15/4.12 | = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 24.15/4.12 | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 12) |
% 24.15/4.12 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7)
% 24.15/4.12 | | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 24.15/4.12 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 24.15/4.12 | | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 24.15/4.12 | | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 =
% 24.15/4.12 | 7) | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2:
% 24.15/4.12 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 |
% 24.15/4.12 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~
% 24.15/4.12 | (b(v1) = v4) | ~ (a(v0) = 2) | ? [v5: int] : ? [v6: int] : (a(v2)
% 24.15/4.12 | = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: int] :
% 24.15/4.12 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 24.15/4.12 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 24.15/4.12 | ~ (b(v1) = v4) | ~ (a(v0) = 1) | ? [v5: int] : ? [v6: int] :
% 24.15/4.12 | (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 24.15/4.12 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 24.15/4.12 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) =
% 24.15/4.12 | 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 24.15/4.12 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 24.15/4.12 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 24.15/4.12 | | ~ (b(v3) = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 24.15/4.12 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 24.15/4.12 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = 2) |
% 24.15/4.12 | ~ (b(v1) = v4) | ~ (b(v0) = 5) | ? [v5: int] : ? [v6: int] : ?
% 24.15/4.12 | [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 5) | ~
% 24.15/4.12 | (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : ! [v1: int] : !
% 24.15/4.12 | [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0
% 24.15/4.12 | | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~
% 24.15/4.12 | (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] : (a(v1) =
% 24.15/4.12 | v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] :
% 24.15/4.12 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 24.15/4.12 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4)
% 24.15/4.12 | | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v5: int] : ? [v6: int] :
% 24.15/4.12 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 24.15/4.12 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 24.15/4.12 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 24.15/4.12 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 24.15/4.12 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 24.15/4.12 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 24.15/4.12 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 24.15/4.12 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 24.15/4.12 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 24.15/4.12 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 24.15/4.12 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 24.15/4.12 | v4) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 24.15/4.12 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 24.15/4.12 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 24.15/4.12 | | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~ (a(v2) = 8) | ~ (a(v0) = 4)
% 24.15/4.12 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 24.15/4.12 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 24.15/4.12 | | ~ (a(v3) = 2) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 24.15/4.12 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 24.15/4.12 | (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 4) | ?
% 24.15/4.12 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 24.15/4.12 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 24.15/4.12 | v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 24.15/4.12 | | ~ (a(v3) = 1) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 24.15/4.12 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 24.15/4.12 | (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ?
% 24.15/4.12 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 24.15/4.12 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~
% 24.15/4.12 | (b(v0) = v3) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v2) =
% 24.15/4.12 | v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 8) | ~ (v6 = 10) | ~ (v5
% 24.15/4.12 | = 3)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 24.15/4.12 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | 2) | ~ (b(v1) = v4) | ~ (b(v0) = v3) | ? [v5: int] : ? [v6:
% 24.15/4.12 | int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~
% 24.15/4.12 | (v7 = 8) | ~ (v6 = 10) | ~ (v5 = 3)))) & ! [v0: int] : ! [v1:
% 24.15/4.12 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | v3) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 24.15/4.12 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 24.15/4.12 | | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 24.15/4.12 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 24.15/4.12 | ~ (v4 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 24.15/4.12 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 24.15/4.12 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.12 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 24.15/4.12 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 24.15/4.12 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 24.15/4.12 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 24.15/4.12 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (a(v0) = 2) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 24.15/4.12 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | v3) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v4: int] : ? [v5: int]
% 24.15/4.12 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 24.15/4.12 | (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : ( ~
% 24.15/4.12 | (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 24.15/4.12 | int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v3)
% 24.15/4.12 | | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & !
% 24.15/4.12 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2
% 24.15/4.12 | = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 24.15/4.12 | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ?
% 24.15/4.12 | [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & (
% 24.15/4.12 | ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 24.15/4.12 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 24.15/4.12 | | ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 24.15/4.12 | v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 24.15/4.12 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 24.15/4.12 | ~ (v4 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 24.15/4.12 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 24.15/4.12 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.12 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 24.15/4.12 | = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 24.15/4.12 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.12 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 24.15/4.12 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 24.15/4.12 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 24.15/4.12 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 6) | ~ (v5 = 10) | ~ (v4
% 24.15/4.12 | = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 24.15/4.12 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 24.15/4.12 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 24.15/4.12 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 24.15/4.12 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 24.15/4.12 | v3) | ~ (a(v0) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 24.15/4.12 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | 2) | ~ (b(v1) = v3) | ~ (a(v0) = 4) | ? [v4: int] : ? [v5: int]
% 24.15/4.12 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 24.15/4.12 | (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 2) | ? [v4: int] : ?
% 24.15/4.12 | [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10))))
% 24.15/4.12 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 24.15/4.12 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 1) | ?
% 24.15/4.12 | [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) |
% 24.15/4.12 | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 24.15/4.12 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 24.15/4.12 | $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ~
% 24.15/4.12 | (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & a(v0) = v4
% 24.15/4.12 | & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: int] : ! [v1: int] : !
% 24.15/4.12 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) =
% 24.15/4.12 | 5) | ~ (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 &
% 24.15/4.12 | a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v0: int] : !
% 24.15/4.12 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? [v5: int]
% 24.15/4.12 | : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 24.15/4.12 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 24.15/4.12 | (b(v1) = v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ?
% 24.15/4.12 | [v5: int] : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6))))
% 24.15/4.12 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 24.15/4.12 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = v3) | ~ (a(v2) = 8) | ~ (a(v0) = 7) | ?
% 24.15/4.12 | [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1:
% 24.15/4.12 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | v3) | ~ (a(v2) = 8) | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 =
% 24.15/4.12 | 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 24.15/4.12 | 5) | ~ (b(v1) = 2) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 24.15/4.12 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 24.15/4.12 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5)
% 24.15/4.12 | | ~ (b(v1) = 2) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 24.15/4.12 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 24.15/4.12 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 24.15/4.12 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] :
% 24.15/4.12 | (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 24.15/4.12 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int]
% 24.15/4.12 | : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 24.15/4.12 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 24.15/4.12 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 24.15/4.12 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 7)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 24.15/4.12 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 24.15/4.12 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 24.15/4.12 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 24.15/4.12 | v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] :
% 24.15/4.12 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 24.15/4.12 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 24.15/4.12 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 24.15/4.12 | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 24.15/4.12 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 24.15/4.12 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 24.15/4.12 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 24.15/4.12 | | ~ (a(v2) = 8) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 24.15/4.12 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~
% 24.15/4.12 | ($lesseq(v2, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 24.15/4.12 | v2) | ~ (a(v0) = 9) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3))
% 24.15/4.12 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 2)) |
% 24.15/4.12 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v2) | ~ (a(v0) =
% 24.15/4.12 | 8) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) & ! [v0: int] :
% 24.15/4.12 | ! [v1: int] : (v1 = v0 | ~ (a(v1) = 10) | ~ (a(v0) = 10)) & ! [v0:
% 24.15/4.12 | int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (b(v0) = v1)) & !
% 24.15/4.12 | [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (a(v0) = v1)) &
% 24.15/4.12 | ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(13, v1)) | ~ (a(v0) =
% 24.15/4.12 | v1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(6, v1)) | ~
% 24.15/4.12 | (b(v0) = v1))
% 24.15/4.12 |
% 24.15/4.12 | ALPHA: (2) implies:
% 24.15/4.12 | (3) ~ (z3 = z1)
% 24.15/4.12 | (4) ~ (z3 = z2)
% 24.15/4.12 | (5) ~ (z4 = z1)
% 24.15/4.12 | (6) ~ (z4 = z2)
% 24.15/4.12 | (7) ~ (z4 = z3)
% 24.15/4.12 | (8) $lesseq(1, $difference(z1, z2))
% 24.15/4.12 | (9) $lesseq(all_3_0, 2)
% 24.15/4.12 | (10) a(z1) = 5
% 24.15/4.12 | (11) a(z2) = 10
% 24.15/4.12 | (12) a(z4) = 2
% 24.15/4.12 | (13) b(z2) = all_3_0
% 24.15/4.12 | (14) b(z3) = 5
% 24.15/4.12 | (15) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 24.15/4.12 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 24.15/4.12 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2)
% 24.15/4.12 | = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 5) | ? [v5:
% 24.15/4.12 | int] : ( ~ (v5 = 10) & a(v1) = v5))
% 24.15/4.12 |
% 24.15/4.13 | GROUND_INST: instantiating (15) with z1, z2, z3, z4, all_3_0, simplifying with
% 24.15/4.13 | (10), (12), (13), (14) gives:
% 24.15/4.13 | (16) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ ($lesseq(all_3_0,
% 24.15/4.13 | 2)) | ~ ($lesseq(1, $difference(z1, z2))) | ? [v0: int] : ( ~
% 24.15/4.13 | (v0 = 10) & a(z2) = v0)
% 24.15/4.13 |
% 24.15/4.13 | BETA: splitting (16) gives:
% 24.15/4.13 |
% 24.15/4.13 | Case 1:
% 24.15/4.13 | |
% 24.15/4.13 | | (17) $lesseq(z1, z2)
% 24.15/4.13 | |
% 24.15/4.13 | | COMBINE_INEQS: (8), (17) imply:
% 24.15/4.13 | | (18) $false
% 24.15/4.13 | |
% 24.15/4.13 | | CLOSE: (18) is inconsistent.
% 24.15/4.13 | |
% 24.15/4.13 | Case 2:
% 24.15/4.13 | |
% 24.15/4.13 | | (19) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 24.15/4.13 | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 24.15/4.13 | |
% 24.15/4.13 | | BETA: splitting (19) gives:
% 24.15/4.13 | |
% 24.15/4.13 | | Case 1:
% 24.15/4.13 | | |
% 24.15/4.13 | | | (20) $lesseq(3, all_3_0)
% 24.15/4.13 | | |
% 24.15/4.13 | | | COMBINE_INEQS: (9), (20) imply:
% 24.15/4.13 | | | (21) $false
% 24.15/4.13 | | |
% 24.15/4.13 | | | CLOSE: (21) is inconsistent.
% 24.15/4.13 | | |
% 24.15/4.13 | | Case 2:
% 24.15/4.13 | | |
% 24.15/4.13 | | | (22) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : (
% 24.15/4.13 | | | ~ (v0 = 10) & a(z2) = v0)
% 24.15/4.13 | | |
% 24.15/4.13 | | | BETA: splitting (22) gives:
% 24.15/4.13 | | |
% 24.15/4.13 | | | Case 1:
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | (23) z4 = z3
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | REDUCE: (7), (23) imply:
% 24.15/4.13 | | | | (24) $false
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | CLOSE: (24) is inconsistent.
% 24.15/4.13 | | | |
% 24.15/4.13 | | | Case 2:
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | (25) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 =
% 24.15/4.13 | | | | 10) & a(z2) = v0)
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | BETA: splitting (25) gives:
% 24.15/4.13 | | | |
% 24.15/4.13 | | | | Case 1:
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | (26) z4 = z2
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | REDUCE: (6), (26) imply:
% 24.15/4.13 | | | | | (27) $false
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | CLOSE: (27) is inconsistent.
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | Case 2:
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | (28) z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) &
% 24.15/4.13 | | | | | a(z2) = v0)
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | BETA: splitting (28) gives:
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | | Case 1:
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | (29) z4 = z1
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | REDUCE: (5), (29) imply:
% 24.15/4.13 | | | | | | (30) $false
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | CLOSE: (30) is inconsistent.
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | Case 2:
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | (31) z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 24.15/4.13 | | | | | | v0)
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | BETA: splitting (31) gives:
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | | Case 1:
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | (32) z3 = z2
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | REDUCE: (4), (32) imply:
% 24.15/4.13 | | | | | | | (33) $false
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | CLOSE: (33) is inconsistent.
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | Case 2:
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | (34) z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | BETA: splitting (34) gives:
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | | Case 1:
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | (35) z3 = z1
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | REDUCE: (3), (35) imply:
% 24.15/4.13 | | | | | | | | (36) $false
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | CLOSE: (36) is inconsistent.
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | Case 2:
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | (37) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | DELTA: instantiating (37) with fresh symbol all_34_0 gives:
% 24.15/4.13 | | | | | | | | (38) ~ (all_34_0 = 10) & a(z2) = all_34_0
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | ALPHA: (38) implies:
% 24.15/4.13 | | | | | | | | (39) ~ (all_34_0 = 10)
% 24.15/4.13 | | | | | | | | (40) a(z2) = all_34_0
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | GROUND_INST: instantiating (1) with 10, all_34_0, z2,
% 24.15/4.13 | | | | | | | | simplifying with (11), (40) gives:
% 24.15/4.13 | | | | | | | | (41) all_34_0 = 10
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | REDUCE: (39), (41) imply:
% 24.15/4.13 | | | | | | | | (42) $false
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | | CLOSE: (42) is inconsistent.
% 24.15/4.13 | | | | | | | |
% 24.15/4.13 | | | | | | | End of split
% 24.15/4.13 | | | | | | |
% 24.15/4.13 | | | | | | End of split
% 24.15/4.13 | | | | | |
% 24.15/4.13 | | | | | End of split
% 24.15/4.13 | | | | |
% 24.15/4.13 | | | | End of split
% 24.15/4.13 | | | |
% 24.15/4.13 | | | End of split
% 24.15/4.13 | | |
% 24.15/4.13 | | End of split
% 24.15/4.13 | |
% 24.15/4.13 | End of split
% 24.15/4.13 |
% 24.15/4.13 End of proof
% 24.15/4.13 % SZS output end Proof for theBenchmark
% 24.15/4.14
% 24.15/4.14 3505ms
%------------------------------------------------------------------------------