%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW002_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 : n024.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 19.31s 3.44s % Output : Proof 27.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWW002_1 : TPTP v8.1.2. Released v5.0.0. % 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n024.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Sun Aug 27 21:59:38 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 6.29/1.75 Prover 1: Preprocessing ... % 6.29/1.78 Prover 4: Preprocessing ... % 7.65/1.79 Prover 2: Preprocessing ... % 7.65/1.79 Prover 5: Preprocessing ... % 7.65/1.79 Prover 3: Preprocessing ... % 7.65/1.80 Prover 0: Preprocessing ... % 7.65/1.80 Prover 6: Preprocessing ... % 17.12/3.07 Prover 1: Constructing countermodel ... % 17.12/3.07 Prover 6: Proving ... % 17.12/3.08 Prover 3: Constructing countermodel ... % 19.31/3.44 Prover 3: proved (2810ms) % 19.31/3.44 % 19.31/3.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.31/3.44 % 19.31/3.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 20.17/3.50 Prover 6: stopped % 20.17/3.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.65/3.73 Prover 7: Preprocessing ... % 21.65/3.76 Prover 4: Constructing countermodel ... % 22.33/3.77 Prover 8: Preprocessing ... % 23.51/3.97 Prover 2: Proving ... % 23.51/3.98 Prover 5: Proving ... % 23.96/3.98 Prover 5: stopped % 23.96/3.99 Prover 2: stopped % 23.96/3.99 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 23.96/3.99 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 23.96/4.00 Prover 0: Proving ... % 23.96/4.01 Prover 0: stopped % 23.96/4.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 24.53/4.07 Prover 1: Found proof (size 106) % 24.53/4.07 Prover 1: proved (3441ms) % 24.68/4.07 Prover 7: stopped % 24.68/4.13 Prover 8: Warning: ignoring some quantifiers % 24.68/4.15 Prover 4: stopped % 24.68/4.16 Prover 8: Constructing countermodel ... % 24.68/4.16 Prover 8: stopped % 25.83/4.26 Prover 10: Preprocessing ... % 25.83/4.29 Prover 11: Preprocessing ... % 25.83/4.29 Prover 13: Preprocessing ... % 26.35/4.34 Prover 10: stopped % 26.69/4.40 Prover 13: stopped % 27.03/4.46 Prover 11: stopped % 27.03/4.46 % 27.03/4.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 27.03/4.46 % 27.03/4.48 % SZS output start Proof for theBenchmark % 27.12/4.48 Assumptions after simplification: % 27.12/4.48 --------------------------------- % 27.12/4.48 % 27.12/4.48 (0) % 27.40/4.57 ? [v0: int] : ( ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ % 27.40/4.57 (z4 = z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) & % 27.40/4.57 $lesseq(v0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 & b(z3) = 5 & % 27.40/4.57 b(z2) = v0 & a(z4) = 7 & a(z2) = 10 & a(z1) = 4 & ! [v1: int] : ! [v2: % 27.40/4.57 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = % 27.40/4.57 v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 3)) | ~ % 27.40/4.57 ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | % 27.40/4.57 ~ (b(v3) = v6) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ? [v7: int] : ? % 27.40/4.57 [v8: int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 % 27.40/4.57 = 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.57 ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 = % 27.40/4.57 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5, % 27.40/4.57 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ % 27.40/4.57 (b(v3) = 2) | ~ (b(v2) = v6) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8: % 27.40/4.57 int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 = % 27.40/4.57 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.57 ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | % 27.40/4.57 v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, % 27.40/4.57 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ % 27.40/4.57 (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( % 27.40/4.57 ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.57 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = % 27.40/4.57 v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) % 27.40/4.57 | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 2) | ? % 27.40/4.57 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ % 27.40/4.57 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 27.40/4.57 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | % 27.40/4.57 ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) % 27.40/4.57 | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 1) | ? [v6: int] : ? % 27.40/4.57 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! % 27.40/4.57 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 % 27.40/4.57 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ % 27.40/4.57 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ % 27.40/4.57 (b(v2) = v5) | ~ (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 % 27.40/4.57 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: % 27.40/4.57 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | % 27.40/4.57 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, % 27.40/4.57 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = % 27.40/4.57 v5) | ~ (a(v1) = 4) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) % 27.40/4.57 = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! % 27.40/4.57 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 % 27.40/4.57 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, % 27.40/4.57 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ % 27.40/4.57 (a(v1) = 2) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ % 27.40/4.57 (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.57 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = % 27.40/4.57 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) % 27.40/4.57 | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 1) | ? % 27.40/4.57 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ % 27.40/4.57 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 27.40/4.58 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | % 27.40/4.58 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) % 27.40/4.58 | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ % 27.40/4.58 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.58 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 4) | ? [v6: % 27.40/4.58 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! % 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 % 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, % 27.40/4.58 v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ % 27.40/4.58 (b(v1) = 5) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 & % 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 5) | ~ (v7 = 10) | ~ (v6 = 5)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : % 27.40/4.58 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ % 27.40/4.58 (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & % 27.40/4.58 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: % 27.40/4.58 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | % 27.40/4.58 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, % 27.40/4.58 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = % 27.40/4.58 5) | ~ (a(v3) = 6) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) % 27.40/4.58 = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: int] : ! % 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 % 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, % 27.40/4.58 v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ % 27.40/4.58 (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ % 27.40/4.58 (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.58 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = % 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) % 27.40/4.58 | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? % 27.40/4.58 [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~ % 27.40/4.58 (v6 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 27.40/4.58 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | % 27.40/4.58 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) % 27.40/4.58 | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ % 27.40/4.58 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.58 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v4) = 2) | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 4) | ? [v6: % 27.40/4.58 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! % 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 % 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, % 27.40/4.58 v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~ % 27.40/4.58 (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : % 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = % 27.40/4.58 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, % 27.40/4.58 $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) = % 27.40/4.58 2) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! % 27.40/4.58 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 % 27.40/4.58 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ % 27.40/4.58 (a(v4) = 1) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) % 27.40/4.58 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : % 27.40/4.58 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~ % 27.40/4.58 (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) % 27.40/4.58 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : % 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ % 27.40/4.58 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 & % 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : % 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ % 27.40/4.58 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 & % 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: % 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = % 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ % 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 & % 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: % 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = % 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ % 27.40/4.58 (a(v1) = 12) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( % 27.40/4.58 ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ % 27.40/4.58 (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~ % 27.40/4.58 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ % 27.40/4.58 (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~ % 27.40/4.58 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: % 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v4) | ~ % 27.40/4.58 (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = v5)) & ! [v1: int] : % 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | % 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = % 27.40/4.58 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = % 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) % 27.40/4.58 | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? % 27.40/4.58 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 % 27.40/4.58 = 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] % 27.40/4.58 : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | % 27.40/4.58 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | % 27.40/4.58 ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 & % 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 5)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: % 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = % 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ % 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 & % 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: % 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = % 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] : % 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ % 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ % 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 & % 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 6) | ~ (v6 = 10) | ~ (v5 = 5)))) & % 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (a(v1) = 12) | ? [v5: int] : ? [v6: % 27.40/4.58 int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! % 27.40/4.58 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 % 27.40/4.58 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = % 27.40/4.58 2) | ~ (b(v2) = v4) | ~ (a(v1) = 5) | ? [v5: int] : ? [v6: int] : % 27.40/4.58 (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : % 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | % 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 4) | ? [v5: int] : ? [v6: int] : (a(v3) = % 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | % 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) = % 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | % 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) = % 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4) % 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) = % 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4) % 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) = % 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4) % 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) = % 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4) % 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) = % 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ % 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4) % 27.40/4.58 | ~ (a(v3) = 8) | ~ (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = % 27.40/4.58 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = % 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) % 27.40/4.58 | ~ (b(v2) = v4) | ~ (a(v3) = 8) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ % 27.40/4.58 (v5 = 10) & a(v2) = v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | % 27.40/4.58 ~ (b(v2) = 2) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = % 27.40/4.58 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | % 27.40/4.58 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | % 27.40/4.58 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] % 27.40/4.58 : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.58 7) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.58 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.58 ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.58 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.58 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.58 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.58 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.58 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : ! % 27.40/4.58 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.58 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.58 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 2)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 1)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) = % 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : ! % 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) = % 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = % 27.40/4.59 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : % 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | % 27.40/4.59 ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = % 27.40/4.59 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | % 27.40/4.59 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (a(v3) = 8) | % 27.40/4.59 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] % 27.40/4.59 : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = v3) | ~ (a(v1) = 9) | ? [v4: % 27.40/4.59 int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] : ! [v2: int] : ! % 27.40/4.59 [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ % 27.40/4.59 (b(v2) = v3) | ~ (a(v1) = 8) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = % 27.40/4.59 v4)) & ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ (a(v2) = 10) | ~ % 27.40/4.59 (a(v1) = 10)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~ % 27.40/4.59 (b(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~ % 27.40/4.59 (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(13, v2)) | % 27.40/4.59 ~ (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(6, v2)) | % 27.40/4.59 ~ (b(v1) = v2))) % 27.40/4.59 % 27.40/4.59 (function-axioms) % 27.40/4.59 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (b(v2) = v1) | ~ % 27.40/4.59 (b(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ % 27.40/4.59 (a(v2) = v1) | ~ (a(v2) = v0)) % 27.40/4.59 % 27.40/4.59 Those formulas are unsatisfiable: % 27.40/4.59 --------------------------------- % 27.40/4.59 % 27.40/4.59 Begin of proof % 27.40/4.59 | % 27.40/4.59 | ALPHA: (function-axioms) implies: % 27.40/4.59 | (1) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) % 27.40/4.59 | | ~ (a(v2) = v0)) % 27.40/4.59 | % 27.40/4.59 | DELTA: instantiating (0) with fresh symbol all_3_0 gives: % 27.78/4.62 | (2) ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ (z4 = % 27.78/4.62 | z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) & % 27.78/4.62 | $lesseq(all_3_0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 & % 27.78/4.62 | b(z3) = 5 & b(z2) = all_3_0 & a(z4) = 7 & a(z2) = 10 & a(z1) = 4 & ! % 27.78/4.62 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | ! [v5: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ % 27.78/4.62 | (b(v1) = 2) | ~ (b(v0) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: % 27.78/4.62 | int] : (a(v2) = v8 & a(v1) = v7 & a(v0) = v6 & ( ~ (v8 = 7) | ~ % 27.78/4.62 | (v7 = 10) | ~ (v6 = 3)))) & ! [v0: int] : ! [v1: int] : ! % 27.78/4.62 | [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3 % 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v5, 2)) | ~ % 27.78/4.62 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = % 27.78/4.62 | 5) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ? [v6: % 27.78/4.62 | int] : ? [v7: int] : ? [v8: int] : (a(v2) = v8 & a(v1) = v7 & % 27.78/4.62 | a(v0) = v6 & ( ~ (v8 = 7) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 3)) % 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = % 27.78/4.62 | v4) | ~ (b(v1) = 2) | ~ (a(v0) = 12) | ? [v5: int] : ? [v6: % 27.78/4.62 | int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & % 27.78/4.62 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] % 27.78/4.62 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, % 27.78/4.62 | 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ % 27.78/4.62 | (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 2) | ? [v5: int] : ? % 27.78/4.62 | [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) % 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 27.78/4.62 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = % 27.78/4.62 | 5) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v5: % 27.78/4.62 | int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ % 27.78/4.62 | (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 27.78/4.62 | [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 % 27.78/4.62 | = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | % 27.78/4.62 | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 12) | % 27.78/4.62 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) % 27.78/4.62 | | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | % 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) % 27.78/4.62 | | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 4) % 27.78/4.62 | | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = % 27.78/4.62 | 7) | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: % 27.78/4.62 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | % 27.78/4.62 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ % 27.78/4.62 | (b(v1) = v4) | ~ (a(v0) = 2) | ? [v5: int] : ? [v6: int] : (a(v2) % 27.78/4.62 | = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: int] : % 27.78/4.62 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | % 27.78/4.62 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | % 27.78/4.62 | ~ (b(v1) = v4) | ~ (a(v0) = 1) | ? [v5: int] : ? [v6: int] : % 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) % 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = % 27.78/4.62 | 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = % 27.78/4.62 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | % 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) % 27.78/4.62 | | ~ (b(v3) = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4) % 27.78/4.62 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 % 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = 2) | % 27.78/4.62 | ~ (b(v1) = v4) | ~ (b(v0) = 5) | ? [v5: int] : ? [v6: int] : ? % 27.78/4.62 | [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 5) | ~ % 27.78/4.62 | (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : ! [v1: int] : ! % 27.78/4.62 | [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 % 27.78/4.62 | | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~ % 27.78/4.62 | (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] : (a(v1) = % 27.78/4.62 | v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : % 27.78/4.62 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | % 27.78/4.62 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) % 27.78/4.62 | | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v5: int] : ? [v6: int] : % 27.78/4.62 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) % 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = % 27.78/4.62 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int] % 27.78/4.62 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) % 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = % 27.78/4.62 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int] % 27.78/4.62 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : % 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) % 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = % 27.78/4.62 | v4) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = % 27.78/4.62 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | % 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) % 27.78/4.62 | | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~ (a(v2) = 8) | ~ (a(v0) = 4) % 27.78/4.62 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 % 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4) % 27.78/4.62 | | ~ (a(v3) = 2) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) & % 27.78/4.62 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 27.78/4.62 | (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 4) | ? % 27.78/4.62 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: % 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = % 27.78/4.62 | v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4) % 27.78/4.62 | | ~ (a(v3) = 1) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) & % 27.78/4.62 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 27.78/4.62 | (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? % 27.78/4.62 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: % 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ % 27.78/4.62 | (b(v0) = v3) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v2) = % 27.78/4.62 | v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 8) | ~ (v6 = 10) | ~ (v5 % 27.78/4.62 | = 3)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ % 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | 2) | ~ (b(v1) = v4) | ~ (b(v0) = v3) | ? [v5: int] : ? [v6: % 27.78/4.62 | int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ % 27.78/4.62 | (v7 = 8) | ~ (v6 = 10) | ~ (v5 = 3)))) & ! [v0: int] : ! [v1: % 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | v3) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] % 27.78/4.62 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) % 27.78/4.62 | | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : % 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | % 27.78/4.62 | ~ (v4 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~ % 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) = % 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 % 27.78/4.62 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~ % 27.78/4.62 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 % 27.78/4.62 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! % 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (a(v0) = 2) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & % 27.78/4.62 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | v3) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v4: int] : ? [v5: int] % 27.78/4.62 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 27.78/4.62 | (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : ( ~ % 27.78/4.62 | (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: % 27.78/4.62 | int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v3) % 27.78/4.62 | | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! % 27.78/4.62 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 % 27.78/4.62 | = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | % 27.78/4.62 | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? % 27.78/4.62 | [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( % 27.78/4.62 | ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] % 27.78/4.62 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) % 27.78/4.62 | | ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = % 27.78/4.62 | v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : % 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | % 27.78/4.62 | ~ (v4 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ % 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) = % 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 % 27.78/4.62 | = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ % 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) = % 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 % 27.78/4.62 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ % 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) = % 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 6) | ~ (v5 = 10) | ~ (v4 % 27.78/4.62 | = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ % 27.78/4.62 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 % 27.78/4.62 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! % 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = % 27.78/4.62 | v3) | ~ (a(v0) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & % 27.78/4.62 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | 2) | ~ (b(v1) = v3) | ~ (a(v0) = 4) | ? [v4: int] : ? [v5: int] % 27.78/4.62 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 27.78/4.62 | (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 2) | ? [v4: int] : ? % 27.78/4.62 | [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) % 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 % 27.78/4.62 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 1) | ? % 27.78/4.62 | [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | % 27.78/4.62 | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, % 27.78/4.62 | $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ~ % 27.78/4.62 | (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & a(v0) = v4 % 27.78/4.62 | & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: int] : ! [v1: int] : ! % 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = % 27.78/4.62 | 5) | ~ (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & % 27.78/4.62 | a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v0: int] : ! % 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? [v5: int] % 27.78/4.62 | : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = % 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 27.78/4.62 | (b(v1) = v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? % 27.78/4.62 | [v5: int] : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) % 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 % 27.78/4.62 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = v3) | ~ (a(v2) = 8) | ~ (a(v0) = 7) | ? % 27.78/4.62 | [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: % 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | v3) | ~ (a(v2) = 8) | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = % 27.78/4.62 | 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = % 27.78/4.62 | 5) | ~ (b(v1) = 2) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10) % 27.78/4.62 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = % 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) % 27.78/4.62 | | ~ (b(v1) = 2) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) & % 27.78/4.62 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = % 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) % 27.78/4.62 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : % 27.78/4.62 | (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 % 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] % 27.78/4.62 | : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 % 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 % 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 7)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 % 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] % 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | % 27.78/4.62 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = % 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : % 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, % 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? % 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | % 27.78/4.62 | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 % 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10) % 27.78/4.62 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = % 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) % 27.78/4.62 | | ~ (a(v2) = 8) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) & % 27.78/4.62 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ % 27.78/4.62 | ($lesseq(v2, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = % 27.78/4.62 | v2) | ~ (a(v0) = 9) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) % 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 2)) | % 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v2) | ~ (a(v0) = % 27.78/4.62 | 8) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) & ! [v0: int] : % 27.78/4.62 | ! [v1: int] : (v1 = v0 | ~ (a(v1) = 10) | ~ (a(v0) = 10)) & ! [v0: % 27.78/4.62 | int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (b(v0) = v1)) & ! % 27.78/4.62 | [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (a(v0) = v1)) & % 27.78/4.62 | ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(13, v1)) | ~ (a(v0) = % 27.78/4.62 | v1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(6, v1)) | ~ % 27.78/4.62 | (b(v0) = v1)) % 27.78/4.62 | % 27.78/4.62 | ALPHA: (2) implies: % 27.78/4.63 | (3) ~ (z3 = z1) % 27.78/4.63 | (4) ~ (z3 = z2) % 27.78/4.63 | (5) ~ (z4 = z2) % 27.78/4.63 | (6) ~ (z4 = z3) % 27.78/4.63 | (7) $lesseq(1, $difference(z1, z2)) % 27.78/4.63 | (8) $lesseq(all_3_0, 2) % 27.78/4.63 | (9) a(z1) = 4 % 27.78/4.63 | (10) a(z2) = 10 % 27.78/4.63 | (11) a(z4) = 7 % 27.78/4.63 | (12) b(z2) = all_3_0 % 27.78/4.63 | (13) b(z3) = 5 % 27.78/4.63 | (14) b(z4) = 2 % 27.78/4.63 | (15) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ % 27.78/4.63 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) % 27.78/4.63 | | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) % 27.78/4.63 | = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) % 27.78/4.63 | (16) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | % 27.78/4.63 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) % 27.78/4.63 | | ~ (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : % 27.78/4.63 | ( ~ (v4 = 10) & a(v1) = v4)) % 27.78/4.63 | (17) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 27.78/4.63 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ % 27.78/4.63 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) % 27.78/4.63 | = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4) | ? [v5: % 27.78/4.63 | int] : ( ~ (v5 = 10) & a(v1) = v5)) % 27.78/4.63 | % 27.78/4.63 | GROUND_INST: instantiating (16) with z4, z2, z3, all_3_0, simplifying with % 27.78/4.63 | (11), (12), (13) gives: % 27.78/4.63 | (18) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1, % 27.78/4.63 | $difference(z4, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.63 | % 27.78/4.63 | GROUND_INST: instantiating (17) with z1, z2, z3, z4, all_3_0, simplifying with % 27.78/4.63 | (9), (12), (13), (14) gives: % 27.78/4.63 | (19) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ ($lesseq(all_3_0, % 27.78/4.63 | 2)) | ~ ($lesseq(1, $difference(z1, z2))) | ? [v0: int] : ( ~ % 27.78/4.63 | (v0 = 10) & a(z2) = v0) % 27.78/4.63 | % 27.78/4.63 | GROUND_INST: instantiating (15) with z3, z4, z1, simplifying with (9), (13), % 27.78/4.63 | (14) gives: % 27.78/4.63 | (20) z4 = z1 | z3 = z1 | ~ ($lesseq(1, $difference(z3, z4))) | ? [v0: % 27.78/4.63 | int] : ? [v1: int] : (a(z4) = v1 & a(z3) = v0 & ( ~ (v1 = 10) | ~ % 27.78/4.63 | (v0 = 1))) % 27.78/4.63 | % 27.78/4.63 | BETA: splitting (20) gives: % 27.78/4.63 | % 27.78/4.63 | Case 1: % 27.78/4.63 | | % 27.78/4.63 | | (21) $lesseq(z3, z4) % 27.78/4.63 | | % 27.78/4.63 | | STRENGTHEN: (6), (21) imply: % 27.78/4.63 | | (22) $lesseq(1, $difference(z4, z3)) % 27.78/4.63 | | % 27.78/4.63 | | BETA: splitting (18) gives: % 27.78/4.63 | | % 27.78/4.63 | | Case 1: % 27.78/4.63 | | | % 27.78/4.63 | | | (23) $lesseq(z4, z2) % 27.78/4.63 | | | % 27.78/4.63 | | | STRENGTHEN: (5), (23) imply: % 27.78/4.63 | | | (24) $lesseq(1, $difference(z2, z4)) % 27.78/4.63 | | | % 27.78/4.63 | | | BETA: splitting (19) gives: % 27.78/4.63 | | | % 27.78/4.63 | | | Case 1: % 27.78/4.63 | | | | % 27.78/4.63 | | | | (25) $lesseq(z1, z2) % 27.78/4.63 | | | | % 27.78/4.63 | | | | COMBINE_INEQS: (7), (25) imply: % 27.78/4.63 | | | | (26) $false % 27.78/4.63 | | | | % 27.78/4.63 | | | | CLOSE: (26) is inconsistent. % 27.78/4.63 | | | | % 27.78/4.63 | | | Case 2: % 27.78/4.63 | | | | % 27.78/4.64 | | | | (27) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ % 27.78/4.64 | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = % 27.78/4.64 | | | | v0) % 27.78/4.64 | | | | % 27.78/4.64 | | | | BETA: splitting (27) gives: % 27.78/4.64 | | | | % 27.78/4.64 | | | | Case 1: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (28) $lesseq(3, all_3_0) % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | COMBINE_INEQS: (8), (28) imply: % 27.78/4.64 | | | | | (29) $false % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | CLOSE: (29) is inconsistent. % 27.78/4.64 | | | | | % 27.78/4.64 | | | | Case 2: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (30) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] % 27.78/4.64 | | | | | : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | BETA: splitting (30) gives: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | Case 1: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (31) z4 = z3 % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REDUCE: (22), (31) imply: % 27.78/4.64 | | | | | | (32) $false % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | CLOSE: (32) is inconsistent. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | Case 2: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (33) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ % 27.78/4.64 | | | | | | (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (24), (33) are inconsistent by % 27.78/4.64 | | | | | | sub-proof #1. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | End of split % 27.78/4.64 | | | | | % 27.78/4.64 | | | | End of split % 27.78/4.64 | | | | % 27.78/4.64 | | | End of split % 27.78/4.64 | | | % 27.78/4.64 | | Case 2: % 27.78/4.64 | | | % 27.78/4.64 | | | (34) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ % 27.78/4.64 | | | (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | % 27.78/4.64 | | | BETA: splitting (34) gives: % 27.78/4.64 | | | % 27.78/4.64 | | | Case 1: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (35) $lesseq(3, all_3_0) % 27.78/4.64 | | | | % 27.78/4.64 | | | | COMBINE_INEQS: (8), (35) imply: % 27.78/4.64 | | | | (36) $false % 27.78/4.64 | | | | % 27.78/4.64 | | | | CLOSE: (36) is inconsistent. % 27.78/4.64 | | | | % 27.78/4.64 | | | Case 2: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (37) z4 = z3 | z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | % 27.78/4.64 | | | | BETA: splitting (37) gives: % 27.78/4.64 | | | | % 27.78/4.64 | | | | Case 1: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (38) z4 = z3 % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | REDUCE: (22), (38) imply: % 27.78/4.64 | | | | | (39) $false % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | CLOSE: (39) is inconsistent. % 27.78/4.64 | | | | | % 27.78/4.64 | | | | Case 2: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (40) z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | BETA: splitting (40) gives: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | Case 1: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (41) z3 = z2 % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REDUCE: (4), (41) imply: % 27.78/4.64 | | | | | | (42) $false % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | CLOSE: (42) is inconsistent. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | Case 2: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (43) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | DELTA: instantiating (43) with fresh symbol all_134_0 gives: % 27.78/4.64 | | | | | | (44) ~ (all_134_0 = 10) & a(z2) = all_134_0 % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REF_CLOSE: (1), (10), (44) are inconsistent by sub-proof #2. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | End of split % 27.78/4.64 | | | | | % 27.78/4.64 | | | | End of split % 27.78/4.64 | | | | % 27.78/4.64 | | | End of split % 27.78/4.64 | | | % 27.78/4.64 | | End of split % 27.78/4.64 | | % 27.78/4.64 | Case 2: % 27.78/4.64 | | % 27.78/4.64 | | (45) $lesseq(1, $difference(z3, z4)) % 27.78/4.64 | | % 27.78/4.64 | | BETA: splitting (18) gives: % 27.78/4.64 | | % 27.78/4.64 | | Case 1: % 27.78/4.64 | | | % 27.78/4.64 | | | (46) $lesseq(z4, z2) % 27.78/4.64 | | | % 27.78/4.64 | | | STRENGTHEN: (5), (46) imply: % 27.78/4.64 | | | (47) $lesseq(1, $difference(z2, z4)) % 27.78/4.64 | | | % 27.78/4.64 | | | BETA: splitting (19) gives: % 27.78/4.64 | | | % 27.78/4.64 | | | Case 1: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (48) $lesseq(z1, z2) % 27.78/4.64 | | | | % 27.78/4.64 | | | | COMBINE_INEQS: (7), (48) imply: % 27.78/4.64 | | | | (49) $false % 27.78/4.64 | | | | % 27.78/4.64 | | | | CLOSE: (49) is inconsistent. % 27.78/4.64 | | | | % 27.78/4.64 | | | Case 2: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (50) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ % 27.78/4.64 | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = % 27.78/4.64 | | | | v0) % 27.78/4.64 | | | | % 27.78/4.64 | | | | BETA: splitting (50) gives: % 27.78/4.64 | | | | % 27.78/4.64 | | | | Case 1: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (51) $lesseq(3, all_3_0) % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | COMBINE_INEQS: (8), (51) imply: % 27.78/4.64 | | | | | (52) $false % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | CLOSE: (52) is inconsistent. % 27.78/4.64 | | | | | % 27.78/4.64 | | | | Case 2: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | (53) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] % 27.78/4.64 | | | | | : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | BETA: splitting (53) gives: % 27.78/4.64 | | | | | % 27.78/4.64 | | | | | Case 1: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (54) z4 = z3 % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REDUCE: (45), (54) imply: % 27.78/4.64 | | | | | | (55) $false % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | CLOSE: (55) is inconsistent. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | Case 2: % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | (56) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ % 27.78/4.64 | | | | | | (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (47), (56) are inconsistent by % 27.78/4.64 | | | | | | sub-proof #1. % 27.78/4.64 | | | | | | % 27.78/4.64 | | | | | End of split % 27.78/4.64 | | | | | % 27.78/4.64 | | | | End of split % 27.78/4.64 | | | | % 27.78/4.64 | | | End of split % 27.78/4.64 | | | % 27.78/4.64 | | Case 2: % 27.78/4.64 | | | % 27.78/4.64 | | | (57) $lesseq(1, $difference(z4, z2)) % 27.78/4.64 | | | (58) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ % 27.78/4.64 | | | (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | % 27.78/4.64 | | | BETA: splitting (58) gives: % 27.78/4.64 | | | % 27.78/4.64 | | | Case 1: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (59) $lesseq(3, all_3_0) % 27.78/4.64 | | | | % 27.78/4.64 | | | | COMBINE_INEQS: (8), (59) imply: % 27.78/4.64 | | | | (60) $false % 27.78/4.64 | | | | % 27.78/4.64 | | | | CLOSE: (60) is inconsistent. % 27.78/4.64 | | | | % 27.78/4.64 | | | Case 2: % 27.78/4.64 | | | | % 27.78/4.64 | | | | (61) z4 = z3 | z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.64 | | | | % 27.78/4.65 | | | | BETA: splitting (61) gives: % 27.78/4.65 | | | | % 27.78/4.65 | | | | Case 1: % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | (62) z4 = z3 % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | REDUCE: (45), (62) imply: % 27.78/4.65 | | | | | (63) $false % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | CLOSE: (63) is inconsistent. % 27.78/4.65 | | | | | % 27.78/4.65 | | | | Case 2: % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | (64) z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | BETA: splitting (64) gives: % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | Case 1: % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | (65) z3 = z2 % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | REDUCE: (45), (65) imply: % 27.78/4.65 | | | | | | (66) $lesseq(1, $difference(z2, z4)) % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | COMBINE_INEQS: (57), (66) imply: % 27.78/4.65 | | | | | | (67) $false % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | CLOSE: (67) is inconsistent. % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | Case 2: % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | (68) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | DELTA: instantiating (68) with fresh symbol all_134_0 gives: % 27.78/4.65 | | | | | | (69) ~ (all_134_0 = 10) & a(z2) = all_134_0 % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | | REF_CLOSE: (1), (10), (69) are inconsistent by sub-proof #2. % 27.78/4.65 | | | | | | % 27.78/4.65 | | | | | End of split % 27.78/4.65 | | | | | % 27.78/4.65 | | | | End of split % 27.78/4.65 | | | | % 27.78/4.65 | | | End of split % 27.78/4.65 | | | % 27.78/4.65 | | End of split % 27.78/4.65 | | % 27.78/4.65 | End of split % 27.78/4.65 | % 27.78/4.65 End of proof % 27.78/4.65 % 27.78/4.65 Sub-proof #1 shows that the following formulas are inconsistent: % 27.78/4.65 ---------------------------------------------------------------- % 27.78/4.65 (1) a(z2) = 10 % 27.78/4.65 (2) $lesseq(1, $difference(z2, z4)) % 27.78/4.65 (3) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & % 27.78/4.65 a(z2) = v0) % 27.78/4.65 (4) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) | % 27.78/4.65 ~ (a(v2) = v0)) % 27.78/4.65 (5) ~ (z3 = z1) % 27.78/4.65 (6) $lesseq(1, $difference(z1, z2)) % 27.78/4.65 (7) ~ (z3 = z2) % 27.78/4.65 % 27.78/4.65 Begin of proof % 27.78/4.65 | % 27.78/4.65 | BETA: splitting (3) gives: % 27.78/4.65 | % 27.78/4.65 | Case 1: % 27.78/4.65 | | % 27.78/4.65 | | (8) z4 = z2 % 27.78/4.65 | | % 27.78/4.65 | | REDUCE: (2), (8) imply: % 27.78/4.65 | | (9) $false % 27.78/4.65 | | % 27.78/4.65 | | CLOSE: (9) is inconsistent. % 27.78/4.65 | | % 27.78/4.65 | Case 2: % 27.78/4.65 | | % 27.78/4.65 | | (10) z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = % 27.78/4.65 | | v0) % 27.78/4.65 | | % 27.78/4.65 | | BETA: splitting (10) gives: % 27.78/4.65 | | % 27.78/4.65 | | Case 1: % 27.78/4.65 | | | % 27.78/4.65 | | | (11) z4 = z1 % 27.78/4.65 | | | % 27.78/4.65 | | | REDUCE: (2), (11) imply: % 27.78/4.65 | | | (12) $lesseq(1, $difference(z2, z1)) % 27.78/4.65 | | | % 27.78/4.65 | | | COMBINE_INEQS: (6), (12) imply: % 27.78/4.65 | | | (13) $false % 27.78/4.65 | | | % 27.78/4.65 | | | CLOSE: (13) is inconsistent. % 27.78/4.65 | | | % 27.78/4.65 | | Case 2: % 27.78/4.65 | | | % 27.78/4.65 | | | (14) z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.65 | | | % 27.78/4.65 | | | BETA: splitting (14) gives: % 27.78/4.65 | | | % 27.78/4.65 | | | Case 1: % 27.78/4.65 | | | | % 27.78/4.65 | | | | (15) z3 = z2 % 27.78/4.65 | | | | % 27.78/4.65 | | | | REDUCE: (7), (15) imply: % 27.78/4.65 | | | | (16) $false % 27.78/4.65 | | | | % 27.78/4.65 | | | | CLOSE: (16) is inconsistent. % 27.78/4.65 | | | | % 27.78/4.65 | | | Case 2: % 27.78/4.65 | | | | % 27.78/4.65 | | | | (17) z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.65 | | | | % 27.78/4.65 | | | | BETA: splitting (17) gives: % 27.78/4.65 | | | | % 27.78/4.65 | | | | Case 1: % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | (18) z3 = z1 % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | REDUCE: (5), (18) imply: % 27.78/4.65 | | | | | (19) $false % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | CLOSE: (19) is inconsistent. % 27.78/4.65 | | | | | % 27.78/4.65 | | | | Case 2: % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | (20) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0) % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | DELTA: instantiating (20) with fresh symbol all_134_0 gives: % 27.78/4.65 | | | | | (21) ~ (all_134_0 = 10) & a(z2) = all_134_0 % 27.78/4.65 | | | | | % 27.78/4.65 | | | | | REF_CLOSE: (1), (4), (21) are inconsistent by sub-proof #2. % 27.78/4.65 | | | | | % 27.78/4.65 | | | | End of split % 27.78/4.65 | | | | % 27.78/4.65 | | | End of split % 27.78/4.65 | | | % 27.78/4.65 | | End of split % 27.78/4.65 | | % 27.78/4.65 | End of split % 27.78/4.65 | % 27.78/4.65 End of proof % 27.78/4.65 % 27.78/4.65 Sub-proof #2 shows that the following formulas are inconsistent: % 27.78/4.65 ---------------------------------------------------------------- % 27.78/4.65 (1) ~ (all_134_0 = 10) & a(z2) = all_134_0 % 27.78/4.65 (2) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) | % 27.78/4.65 ~ (a(v2) = v0)) % 27.78/4.65 (3) a(z2) = 10 % 27.78/4.65 % 27.78/4.65 Begin of proof % 27.78/4.65 | % 27.78/4.65 | ALPHA: (1) implies: % 27.78/4.65 | (4) ~ (all_134_0 = 10) % 27.78/4.65 | (5) a(z2) = all_134_0 % 27.78/4.65 | % 27.78/4.65 | GROUND_INST: instantiating (2) with 10, all_134_0, z2, simplifying with (3), % 27.78/4.65 | (5) gives: % 27.78/4.65 | (6) all_134_0 = 10 % 27.78/4.65 | % 27.78/4.65 | REDUCE: (4), (6) imply: % 27.78/4.65 | (7) $false % 27.78/4.65 | % 27.78/4.65 | CLOSE: (7) is inconsistent. % 27.78/4.65 | % 27.78/4.65 End of proof % 27.78/4.65 % SZS output end Proof for theBenchmark % 27.78/4.65 % 27.78/4.65 4048ms %------------------------------------------------------------------------------