%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:54:39 PM UTC 2026 % Result : Theorem 8.79s 1.98s % Output : Proof 26.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.35 % Computer : n017.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 02:00:21 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.37 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.68/0.71 ________ _____ % 0.68/0.71 ___ __ \_________(_)________________________________ % 0.68/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.68/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.68/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.68/0.71 % 0.68/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.68/0.71 (2023-06-19) % 0.68/0.71 % 0.68/0.71 (c) Philipp Rümmer, 2009-2023 % 0.68/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.68/0.71 Amanda Stjerna. % 0.68/0.71 Free software under BSD-3-Clause. % 0.68/0.71 % 0.68/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.68/0.71 % 0.68/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.73 Running up to 7 provers in parallel. % 0.68/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.68/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.78/1.18 Prover 4: Preprocessing ... % 2.78/1.18 Prover 1: Preprocessing ... % 3.27/1.22 Prover 3: Preprocessing ... % 3.27/1.22 Prover 6: Preprocessing ... % 3.27/1.22 Prover 5: Preprocessing ... % 3.27/1.22 Prover 2: Preprocessing ... % 3.27/1.22 Prover 0: Preprocessing ... % 4.83/1.44 Prover 5: Proving ... % 4.83/1.44 Prover 2: Proving ... % 5.64/1.52 Prover 3: Constructing countermodel ... % 5.64/1.54 Prover 1: Constructing countermodel ... % 5.64/1.55 Prover 6: Proving ... % 6.42/1.64 Prover 1: gave up % 6.42/1.64 Prover 3: gave up % 6.42/1.65 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.42/1.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.22/1.70 Prover 8: Preprocessing ... % 7.22/1.72 Prover 7: Preprocessing ... % 7.22/1.79 Prover 7: Warning: ignoring some quantifiers % 8.00/1.81 Prover 7: Constructing countermodel ... % 8.00/1.88 Prover 7: gave up % 8.00/1.88 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 8.79/1.92 Prover 8: Warning: ignoring some quantifiers % 8.79/1.93 Prover 9: Preprocessing ... % 8.79/1.94 Prover 8: Constructing countermodel ... % 8.79/1.97 Prover 2: proved (1234ms) % 8.79/1.98 % 8.79/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.79/1.98 % 8.79/1.98 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.79/1.98 Prover 5: stopped % 8.79/1.98 Prover 6: stopped % 8.79/1.99 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.79/1.99 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.79/2.03 Prover 8: gave up % 8.79/2.04 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 9.98/2.06 Prover 13: Preprocessing ... % 9.98/2.06 Prover 10: Preprocessing ... % 9.98/2.08 Prover 11: Preprocessing ... % 9.98/2.10 Prover 13: Warning: ignoring some quantifiers % 9.98/2.11 Prover 10: Warning: ignoring some quantifiers % 9.98/2.13 Prover 16: Preprocessing ... % 9.98/2.13 Prover 13: Constructing countermodel ... % 9.98/2.13 Prover 10: Constructing countermodel ... % 10.82/2.18 Prover 16: Warning: ignoring some quantifiers % 10.82/2.18 Prover 13: gave up % 10.82/2.18 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 10.82/2.19 Prover 10: gave up % 10.82/2.19 Prover 16: Constructing countermodel ... % 11.14/2.23 Prover 16: gave up % 11.14/2.24 Prover 19: Preprocessing ... % 11.92/2.30 Prover 4: Constructing countermodel ... % 11.92/2.38 Prover 19: Warning: ignoring some quantifiers % 11.92/2.38 Prover 19: Constructing countermodel ... % 12.72/2.43 Prover 0: Proving ... % 12.72/2.46 Prover 0: stopped % 13.51/2.56 Prover 9: Constructing countermodel ... % 13.51/2.56 Prover 9: stopped % 14.98/2.70 Prover 11: Constructing countermodel ... % 14.98/2.71 Prover 19: gave up % 24.51/4.50 Prover 11: Found proof (size 39) % 24.51/4.50 Prover 11: proved (2513ms) % 24.51/4.50 Prover 4: stopped % 24.51/4.50 % 24.51/4.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.51/4.50 % 24.51/4.51 % SZS output start Proof for theBenchmark % 24.51/4.52 Assumptions after simplification: % 24.51/4.52 --------------------------------- % 24.51/4.52 % 24.51/4.52 (main) % 24.96/4.69 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & p100(v0) = 0 & p101(v0) = v1 & % 24.96/4.69 $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (p2(v2) = v3) | ~ $i(v2) % 24.96/4.69 | ? [v4: int] : ( ~ (v4 = 0) & r1(v0, v2) = v4)) & ! [v2: $i] : ! [v3: % 24.96/4.69 any] : ( ~ (p100(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ? % 24.96/4.69 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ? % 24.96/4.69 [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int] % 24.96/4.69 : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~ % 24.96/4.69 (v4 = 0) & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v18 = 0 & v15 = 0 & % 24.96/4.69 v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~ % 24.96/4.69 (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 & p101(v14) = 0 & % 24.96/4.69 p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 & r1(v2, v14) = 0 & % 24.96/4.69 r1(v2, v9) = 0) | (v5 = 0 & p101(v2) = 0)) & ( ~ (v3 = 0) | % 24.96/4.69 (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ % 24.96/4.69 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 24.96/4.69 p1(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) % 24.96/4.69 & ! [v19: $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20: % 24.96/4.69 int] : ? [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) % 24.96/4.69 | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : % 24.96/4.69 ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? % 24.96/4.69 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20 % 24.96/4.69 = 0) & p1(v19) = v20))))) & (( ~ (v7 = 0) & p1(v2) = % 24.96/4.69 v7) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) % 24.96/4.69 = v20) | ~ $i(v19) | ? [v21: int] : ? [v22: int] : (( % 24.96/4.69 ~ (v22 = 0) & p100(v19) = v22) | ( ~ (v21 = 0) & % 24.96/4.69 r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ (p100(v19) = % 24.96/4.69 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 % 24.96/4.69 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = % 24.96/4.69 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ % 24.96/4.69 $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 24.96/4.69 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21))))))) % 24.96/4.69 & (v3 = 0 | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0 & p101(v2) = % 24.96/4.69 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v5 = 0) & p101(v2) = % 24.96/4.69 v5) | (((v6 = 0 & p2(v2) = 0) | ( ! [v19: $i] : ( ~ (p101(v19) = % 24.96/4.69 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 24.96/4.69 (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) & r1(v2, % 24.96/4.69 v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) = 0) | % 24.96/4.69 ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) % 24.96/4.69 & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = % 24.96/4.69 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ % 24.96/4.69 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 24.96/4.69 p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) = v20))))) % 24.96/4.69 & (( ~ (v6 = 0) & p2(v2) = v6) | ( ! [v19: $i] : ! [v20: int] : % 24.96/4.69 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] : % 24.96/4.69 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~ % 24.96/4.69 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ % 24.96/4.69 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 24.96/4.69 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, % 24.96/4.69 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 24.96/4.69 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 24.96/4.69 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) = % 24.96/4.69 v21))))))))))) & ! [v2: $i] : ! [v3: any] : ( ~ % 24.96/4.69 (p1(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ? [v6: int] : % 24.96/4.69 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ? [v11: int] : % 24.96/4.69 ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int] : ? [v16: % 24.96/4.69 int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~ (v4 = 0) % 24.96/4.69 & r1(v0, v2) = v4) | (((v18 = 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10 % 24.96/4.69 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~ (v12 = 0) & p102(v14) = % 24.96/4.69 v17 & p102(v9) = v12 & p101(v14) = 0 & p101(v9) = 0 & p2(v14) = % 24.96/4.69 v16 & p2(v9) = 0 & r1(v2, v14) = 0 & r1(v2, v9) = 0) | (v5 = 0 & % 24.96/4.69 p101(v2) = 0) | ( ~ (v6 = 0) & p100(v2) = v6)) & ((v6 = 0 & % 24.96/4.69 p100(v2) = 0) | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0 & % 24.96/4.69 p101(v2) = 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v6 = 0) & % 24.96/4.69 p100(v2) = v6) | (( ~ (v3 = 0) | ( ! [v19: $i] : ! [v20: int] : % 24.96/4.69 (v20 = 0 | ~ (p1(v19) = v20) | ~ $i(v19) | ? [v21: int] : % 24.96/4.69 ? [v22: int] : (( ~ (v22 = 0) & p100(v19) = v22) | ( ~ % 24.96/4.69 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ % 24.96/4.69 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 24.96/4.69 int] : ((v21 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, % 24.96/4.69 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 24.96/4.69 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 24.96/4.69 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21))))) & % 24.96/4.69 (v3 = 0 | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ $i(v19) | ? % 24.96/4.69 [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & p1(v19) = % 24.96/4.69 v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: % 24.96/4.69 $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? % 24.96/4.69 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20 % 24.96/4.69 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ % 24.96/4.69 (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 24.96/4.69 int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0) % 24.96/4.70 & p1(v19) = v20))))))) & (( ~ (v5 = 0) & p101(v2) = % 24.96/4.70 v5) | (((v7 = 0 & p2(v2) = 0) | ( ! [v19: $i] : ( ~ (p101(v19) = % 24.96/4.70 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 24.96/4.70 (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) & r1(v2, % 24.96/4.70 v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) = 0) | % 24.96/4.70 ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) % 24.96/4.70 & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = % 24.96/4.70 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ % 24.96/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 24.96/4.70 p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) = v20))))) % 24.96/4.70 & (( ~ (v7 = 0) & p2(v2) = v7) | ( ! [v19: $i] : ! [v20: int] : % 24.96/4.70 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] : % 24.96/4.70 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~ % 24.96/4.70 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ % 24.96/4.70 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 24.96/4.70 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, % 24.96/4.70 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 24.96/4.70 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 24.96/4.70 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) = % 25.44/4.70 v21))))))))))) & ! [v2: $i] : ! [v3: any] : ( ~ % 25.44/4.70 (p102(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : ? [v6: int] : % 25.44/4.70 ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : ? [v11: int] % 25.44/4.70 : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: int] : ? [v16: % 25.44/4.70 int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) & (( ~ (v4 = 0) % 25.44/4.70 & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v5 = 0 & p101(v2) = 0)) & % 25.44/4.70 ((v18 = 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) & % 25.44/4.70 ~ (v16 = 0) & ~ (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 & % 25.44/4.70 p101(v14) = 0 & p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 & % 25.44/4.70 r1(v2, v14) = 0 & r1(v2, v9) = 0) | (v5 = 0 & p101(v2) = 0) | ( % 25.44/4.70 ~ (v6 = 0) & p100(v2) = v6)) & ((v6 = 0 & p100(v2) = 0) | ( ~ % 25.44/4.70 (v5 = 0) & p101(v2) = v5)) & (( ~ (v6 = 0) & p100(v2) = v6) | % 25.44/4.70 (((v8 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ % 25.44/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 25.44/4.70 p1(v19) = v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) % 25.44/4.70 & ! [v19: $i] : ( ~ (p1(v19) = 0) | ~ $i(v19) | ? [v20: % 25.44/4.70 int] : ? [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) % 25.44/4.70 | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : % 25.44/4.70 ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? % 25.44/4.70 [v21: int] : (( ~ (v21 = 0) & p100(v19) = v21) | ( ~ (v20 % 25.44/4.70 = 0) & p1(v19) = v20))))) & (( ~ (v8 = 0) & p1(v2) = % 25.44/4.70 v8) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) % 25.44/4.70 = v20) | ~ $i(v19) | ? [v21: int] : ? [v22: int] : (( % 25.44/4.70 ~ (v22 = 0) & p100(v19) = v22) | ( ~ (v21 = 0) & % 25.44/4.70 r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ (p100(v19) = % 25.44/4.70 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 % 25.44/4.70 = 0 & p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = % 25.44/4.70 v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ % 25.44/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 25.44/4.70 p1(v19) = 0) | ( ~ (v21 = 0) & p100(v19) = v21))))))) % 25.44/4.70 & (( ~ (v5 = 0) & p101(v2) = v5) | (((v7 = 0 & p2(v2) = 0) | ( ! % 25.44/4.70 [v19: $i] : ( ~ (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] % 25.44/4.70 : ? [v21: int] : (( ~ (v21 = 0) & p2(v19) = v21) | ( ~ % 25.44/4.70 (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ % 25.44/4.70 (p2(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] % 25.44/4.70 : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) & % 25.44/4.70 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) % 25.44/4.70 = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 25.44/4.70 (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) % 25.44/4.70 = v20))))) & (( ~ (v7 = 0) & p2(v2) = v7) | ( ! [v19: % 25.44/4.70 $i] : ! [v20: int] : (v20 = 0 | ~ (p2(v19) = v20) | ~ % 25.44/4.70 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) & % 25.44/4.70 p101(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) = % 25.44/4.70 v21))) & ! [v19: $i] : ( ~ (p101(v19) = 0) | ~ % 25.44/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 & % 25.44/4.70 p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & % 25.44/4.70 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: % 25.44/4.70 int] : ? [v21: int] : ((v20 = 0 & p2(v19) = 0) | ( ~ % 25.44/4.70 (v21 = 0) & p101(v19) = v21))))))))))) & ! [v2: $i] : % 25.44/4.70 ! [v3: any] : ( ~ (p101(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] % 25.44/4.70 : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] % 25.44/4.70 : ? [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: % 25.44/4.70 int] : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) % 25.44/4.70 & (( ~ (v4 = 0) & r1(v0, v2) = v4) | (( ~ (v3 = 0) | (v5 = 0 & p100(v2) % 25.44/4.70 = 0)) & ( ~ (v3 = 0) | (((v6 = 0 & p2(v2) = 0) | ( ! [v19: $i] : % 25.44/4.70 ( ~ (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 25.44/4.70 int] : (( ~ (v21 = 0) & p2(v19) = v21) | ( ~ (v20 = 0) & % 25.44/4.70 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p2(v19) = % 25.44/4.70 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 25.44/4.70 (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) & r1(v2, % 25.44/4.70 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 25.44/4.70 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = % 25.44/4.70 0) & p101(v19) = v21) | ( ~ (v20 = 0) & p2(v19) = % 25.44/4.70 v20))))) & (( ~ (v6 = 0) & p2(v2) = v6) | ( ! [v19: % 25.44/4.70 $i] : ! [v20: int] : (v20 = 0 | ~ (p2(v19) = v20) | ~ % 25.44/4.70 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) & % 25.44/4.70 p101(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) = % 25.44/4.70 v21))) & ! [v19: $i] : ( ~ (p101(v19) = 0) | ~ % 25.44/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 & % 25.44/4.70 p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & % 25.44/4.70 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: % 25.44/4.70 int] : ? [v21: int] : ((v20 = 0 & p2(v19) = 0) | ( ~ % 25.44/4.70 (v21 = 0) & p101(v19) = v21))))))) & (v3 = 0 | (v18 = % 25.44/4.70 0 & v15 = 0 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~ % 25.44/4.70 (v16 = 0) & ~ (v12 = 0) & p102(v14) = v17 & p102(v9) = v12 & % 25.44/4.70 p101(v14) = 0 & p101(v9) = 0 & p2(v14) = v16 & p2(v9) = 0 & % 25.44/4.70 r1(v2, v14) = 0 & r1(v2, v9) = 0) | ( ~ (v5 = 0) & p100(v2) = % 25.44/4.70 v5)) & (v3 = 0 | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v5 = 0) % 25.44/4.70 & p100(v2) = v5) | (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ % 25.44/4.70 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 25.44/4.70 int] : (( ~ (v21 = 0) & p1(v19) = v21) | ( ~ (v20 = 0) & % 25.44/4.70 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p1(v19) = % 25.44/4.70 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 25.44/4.70 (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0) & r1(v2, % 25.44/4.70 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 25.44/4.70 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = % 25.44/4.70 0) & p100(v19) = v21) | ( ~ (v20 = 0) & p1(v19) = % 25.44/4.70 v20))))) & (( ~ (v7 = 0) & p1(v2) = v7) | ( ! [v19: % 25.44/4.70 $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) = v20) | ~ % 25.44/4.70 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) & % 25.44/4.70 p100(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) = % 25.44/4.70 v21))) & ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ % 25.44/4.70 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 & % 25.44/4.70 p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & % 25.44/4.70 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: % 25.44/4.70 int] : ? [v21: int] : ((v20 = 0 & p1(v19) = 0) | ( ~ % 25.44/4.70 (v21 = 0) & p100(v19) = v21))))))))))) & ! [v2: $i] : % 25.44/4.70 ! [v3: any] : ( ~ (p2(v2) = v3) | ~ $i(v2) | ? [v4: int] : ? [v5: int] : % 25.44/4.70 ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: $i] : ? [v10: int] : % 25.44/4.70 ? [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: $i] : ? [v15: % 25.44/4.70 int] : ? [v16: int] : ? [v17: int] : ? [v18: int] : ($i(v14) & $i(v9) % 25.44/4.70 & (( ~ (v4 = 0) & r1(v0, v2) = v4) | (((v18 = 0 & v15 = 0 & v13 = 0 & % 25.44/4.70 v11 = 0 & v10 = 0 & ~ (v17 = 0) & ~ (v16 = 0) & ~ (v12 = 0) & % 25.44/4.70 p102(v14) = v17 & p102(v9) = v12 & p101(v14) = 0 & p101(v9) = 0 % 25.44/4.70 & p2(v14) = v16 & p2(v9) = 0 & r1(v2, v14) = 0 & r1(v2, v9) = 0) % 25.44/4.70 | (v5 = 0 & p101(v2) = 0) | ( ~ (v6 = 0) & p100(v2) = v6)) & ((v6 % 25.44/4.70 = 0 & p100(v2) = 0) | ( ~ (v5 = 0) & p101(v2) = v5)) & ((v5 = 0 % 25.44/4.70 & p101(v2) = 0) | ( ~ (v8 = 0) & p102(v2) = v8)) & (( ~ (v6 = 0) % 25.44/4.70 & p100(v2) = v6) | (((v7 = 0 & p1(v2) = 0) | ( ! [v19: $i] : ( ~ % 25.44/4.70 (p100(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 25.44/4.70 int] : (( ~ (v21 = 0) & p1(v19) = v21) | ( ~ (v20 = 0) & % 25.44/4.70 r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ (p1(v19) = % 25.44/4.70 0) | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ % 25.44/4.70 (v21 = 0) & p100(v19) = v21) | ( ~ (v20 = 0) & r1(v2, % 25.44/4.70 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 25.44/4.70 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = % 25.44/4.70 0) & p100(v19) = v21) | ( ~ (v20 = 0) & p1(v19) = % 25.44/4.70 v20))))) & (( ~ (v7 = 0) & p1(v2) = v7) | ( ! [v19: % 25.44/4.70 $i] : ! [v20: int] : (v20 = 0 | ~ (p1(v19) = v20) | ~ % 25.44/4.70 $i(v19) | ? [v21: int] : ? [v22: int] : (( ~ (v22 = 0) & % 25.44/4.71 p100(v19) = v22) | ( ~ (v21 = 0) & r1(v2, v19) = % 25.44/4.71 v21))) & ! [v19: $i] : ( ~ (p100(v19) = 0) | ~ % 25.44/4.71 $i(v19) | ? [v20: int] : ? [v21: int] : ((v21 = 0 & % 25.44/4.71 p1(v19) = 0) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & % 25.44/4.71 ! [v19: $i] : ( ~ (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: % 25.44/4.71 int] : ? [v21: int] : ((v20 = 0 & p1(v19) = 0) | ( ~ % 25.44/4.71 (v21 = 0) & p100(v19) = v21))))))) & (( ~ (v5 = 0) & % 25.44/4.71 p101(v2) = v5) | (( ~ (v3 = 0) | ( ! [v19: $i] : ! [v20: int] : % 25.44/4.71 (v20 = 0 | ~ (p2(v19) = v20) | ~ $i(v19) | ? [v21: int] : % 25.44/4.71 ? [v22: int] : (( ~ (v22 = 0) & p101(v19) = v22) | ( ~ % 25.44/4.71 (v21 = 0) & r1(v2, v19) = v21))) & ! [v19: $i] : ( ~ % 25.44/4.71 (p101(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 25.44/4.71 int] : ((v21 = 0 & p2(v19) = 0) | ( ~ (v20 = 0) & r1(v2, % 25.44/4.71 v19) = v20))) & ! [v19: $i] : ( ~ (r1(v2, v19) = 0) % 25.44/4.71 | ~ $i(v19) | ? [v20: int] : ? [v21: int] : ((v20 = 0 & % 25.44/4.71 p2(v19) = 0) | ( ~ (v21 = 0) & p101(v19) = v21))))) & % 25.44/4.71 (v3 = 0 | ( ! [v19: $i] : ( ~ (p101(v19) = 0) | ~ $i(v19) | ? % 25.44/4.71 [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & p2(v19) = % 25.44/4.71 v21) | ( ~ (v20 = 0) & r1(v2, v19) = v20))) & ! [v19: % 25.44/4.71 $i] : ( ~ (p2(v19) = 0) | ~ $i(v19) | ? [v20: int] : ? % 25.44/4.71 [v21: int] : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20 % 25.44/4.71 = 0) & r1(v2, v19) = v20))) & ! [v19: $i] : ( ~ % 25.44/4.71 (r1(v2, v19) = 0) | ~ $i(v19) | ? [v20: int] : ? [v21: % 25.44/4.71 int] : (( ~ (v21 = 0) & p101(v19) = v21) | ( ~ (v20 = 0) % 25.44/4.71 & p2(v19) = v20))))))))))) & ! [v2: $i] : ( ~ (r1(v0, % 25.44/4.71 v2) = 0) | ~ $i(v2) | p2(v2) = 0) & ! [v2: $i] : ( ~ (r1(v0, v2) = % 25.44/4.71 0) | ~ $i(v2) | ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: % 25.44/4.71 int] : ? [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ? % 25.44/4.71 [v11: int] : ? [v12: int] : ? [v13: $i] : ? [v14: int] : ? [v15: int] % 25.44/4.71 : ? [v16: int] : ? [v17: int] : ($i(v13) & $i(v8) & ((v17 = 0 & v14 = 0 % 25.44/4.71 & v12 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & ~ (v15 = 0) & ~ (v11 % 25.44/4.71 = 0) & p102(v13) = v16 & p102(v8) = v11 & p101(v13) = 0 & p101(v8) % 25.44/4.71 = 0 & p2(v13) = v15 & p2(v8) = 0 & r1(v2, v13) = 0 & r1(v2, v8) = 0) % 25.44/4.71 | (v3 = 0 & p101(v2) = 0) | ( ~ (v4 = 0) & p100(v2) = v4)) & ((v4 = 0 % 25.44/4.71 & p100(v2) = 0) | ( ~ (v3 = 0) & p101(v2) = v3)) & ((v3 = 0 & % 25.44/4.71 p101(v2) = 0) | ( ~ (v7 = 0) & p102(v2) = v7)) & (( ~ (v4 = 0) & % 25.44/4.71 p100(v2) = v4) | (((v6 = 0 & p1(v2) = 0) | ( ! [v18: $i] : ( ~ % 25.44/4.71 (p100(v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] : % 25.44/4.71 (( ~ (v20 = 0) & p1(v18) = v20) | ( ~ (v19 = 0) & r1(v2, v18) % 25.44/4.71 = v19))) & ! [v18: $i] : ( ~ (p1(v18) = 0) | ~ $i(v18) | % 25.44/4.71 ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) & p100(v18) = % 25.44/4.71 v20) | ( ~ (v19 = 0) & r1(v2, v18) = v19))) & ! [v18: $i] % 25.44/4.71 : ( ~ (r1(v2, v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20: % 25.44/4.71 int] : (( ~ (v20 = 0) & p100(v18) = v20) | ( ~ (v19 = 0) & % 25.44/4.71 p1(v18) = v19))))) & (( ~ (v6 = 0) & p1(v2) = v6) | ( ! % 25.44/4.71 [v18: $i] : ! [v19: int] : (v19 = 0 | ~ (p1(v18) = v19) | ~ % 25.44/4.71 $i(v18) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 25.44/4.71 p100(v18) = v21) | ( ~ (v20 = 0) & r1(v2, v18) = v20))) & % 25.44/4.71 ! [v18: $i] : ( ~ (p100(v18) = 0) | ~ $i(v18) | ? [v19: int] : % 25.44/4.71 ? [v20: int] : ((v20 = 0 & p1(v18) = 0) | ( ~ (v19 = 0) & % 25.44/4.71 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (r1(v2, v18) = % 25.44/4.71 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] : ((v19 = 0 % 25.44/4.71 & p1(v18) = 0) | ( ~ (v20 = 0) & p100(v18) = v20))))))) & % 25.44/4.71 (( ~ (v3 = 0) & p101(v2) = v3) | (((v5 = 0 & p2(v2) = 0) | ( ! [v18: $i] % 25.44/4.71 : ( ~ (p101(v18) = 0) | ~ $i(v18) | ? [v19: int] : ? [v20: % 25.44/4.71 int] : (( ~ (v20 = 0) & p2(v18) = v20) | ( ~ (v19 = 0) & % 25.44/4.71 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (p2(v18) = 0) | % 25.44/4.71 ~ $i(v18) | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) & % 25.44/4.71 p101(v18) = v20) | ( ~ (v19 = 0) & r1(v2, v18) = v19))) & % 25.44/4.71 ! [v18: $i] : ( ~ (r1(v2, v18) = 0) | ~ $i(v18) | ? [v19: int] % 25.44/4.71 : ? [v20: int] : (( ~ (v20 = 0) & p101(v18) = v20) | ( ~ (v19 % 25.44/4.71 = 0) & p2(v18) = v19))))) & (( ~ (v5 = 0) & p2(v2) = v5) % 25.44/4.71 | ( ! [v18: $i] : ! [v19: int] : (v19 = 0 | ~ (p2(v18) = v19) | % 25.44/4.71 ~ $i(v18) | ? [v20: int] : ? [v21: int] : (( ~ (v21 = 0) & % 25.44/4.71 p101(v18) = v21) | ( ~ (v20 = 0) & r1(v2, v18) = v20))) & % 25.44/4.71 ! [v18: $i] : ( ~ (p101(v18) = 0) | ~ $i(v18) | ? [v19: int] : % 25.44/4.71 ? [v20: int] : ((v20 = 0 & p2(v18) = 0) | ( ~ (v19 = 0) & % 25.44/4.71 r1(v2, v18) = v19))) & ! [v18: $i] : ( ~ (r1(v2, v18) = % 25.44/4.71 0) | ~ $i(v18) | ? [v19: int] : ? [v20: int] : ((v19 = 0 % 25.44/4.71 & p2(v18) = 0) | ( ~ (v20 = 0) & p101(v18) = v20)))))))))) % 25.44/4.71 % 25.44/4.71 (reflexivity) % 25.44/4.71 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (r1(v0, v0) = v1) | ~ $i(v0)) % 25.44/4.71 % 25.44/4.71 (function-axioms) % 25.44/4.71 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 25.44/4.71 [v3: $i] : (v1 = v0 | ~ (r1(v3, v2) = v1) | ~ (r1(v3, v2) = v0)) & ! [v0: % 25.44/4.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 25.44/4.71 ~ (p100(v2) = v1) | ~ (p100(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 25.44/4.71 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (p1(v2) = v1) | ~ % 25.44/4.71 (p1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 25.44/4.71 ! [v2: $i] : (v1 = v0 | ~ (p102(v2) = v1) | ~ (p102(v2) = v0)) & ! [v0: % 25.44/4.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 25.44/4.71 ~ (p101(v2) = v1) | ~ (p101(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 25.44/4.71 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (p2(v2) = v1) | ~ % 25.44/4.71 (p2(v2) = v0)) % 25.44/4.71 % 25.44/4.71 Further assumptions not needed in the proof: % 25.44/4.71 -------------------------------------------- % 25.44/4.71 transitivity % 25.44/4.71 % 25.44/4.71 Those formulas are unsatisfiable: % 25.44/4.71 --------------------------------- % 25.44/4.71 % 25.44/4.71 Begin of proof % 25.44/4.72 | % 25.44/4.72 | ALPHA: (function-axioms) implies: % 25.44/4.72 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 25.44/4.72 | (v1 = v0 | ~ (p2(v2) = v1) | ~ (p2(v2) = v0)) % 25.44/4.72 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 25.44/4.72 | (v1 = v0 | ~ (p101(v2) = v1) | ~ (p101(v2) = v0)) % 25.44/4.72 | % 25.44/4.72 | DELTA: instantiating (main) with fresh symbols all_5_0, all_5_1 gives: % 25.44/4.79 | (3) ~ (all_5_0 = 0) & p100(all_5_1) = 0 & p101(all_5_1) = all_5_0 & % 25.44/4.79 | $i(all_5_1) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (p2(v0) = v1) | % 25.44/4.79 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & r1(all_5_1, v0) = v2)) & ! % 25.44/4.79 | [v0: $i] : ! [v1: any] : ( ~ (p100(v0) = v1) | ~ $i(v0) | ? [v2: % 25.44/4.79 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : % 25.44/4.79 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: % 25.44/4.79 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] % 25.44/4.79 | : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) % 25.44/4.79 | = v2) | (( ~ (v1 = 0) | (v16 = 0 & v13 = 0 & v11 = 0 & v9 = 0 & % 25.44/4.79 | v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) & ~ (v10 = 0) & % 25.44/4.79 | p102(v12) = v15 & p102(v7) = v10 & p101(v12) = 0 & p101(v7) % 25.44/4.79 | = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0, v12) = 0 & r1(v0, % 25.44/4.79 | v7) = 0) | (v3 = 0 & p101(v0) = 0)) & ( ~ (v1 = 0) | % 25.44/4.79 | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~ (p100(v17) = 0) % 25.44/4.79 | | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~ % 25.44/4.79 | (v19 = 0) & p1(v17) = v19) | ( ~ (v18 = 0) & % 25.44/4.79 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.44/4.79 | (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19: % 25.44/4.79 | int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ (v18 % 25.44/4.79 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : ( % 25.44/4.79 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.79 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.44/4.79 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0) & % 25.44/4.79 | p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.44/4.79 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.44/4.79 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | ( % 25.44/4.79 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.44/4.79 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.79 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0) % 25.44/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.44/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.80 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0) % 25.44/4.80 | & p100(v17) = v19))))))) & (v1 = 0 | ( ~ (v3 = 0) % 25.44/4.80 | & p101(v0) = v3)) & ((v3 = 0 & p101(v0) = 0) | ( ~ (v6 = 0) % 25.44/4.80 | & p102(v0) = v6)) & (( ~ (v3 = 0) & p101(v0) = v3) | (((v4 % 25.44/4.80 | = 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) = 0) % 25.44/4.80 | | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~ % 25.44/4.80 | (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) & % 25.44/4.80 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.44/4.80 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19: % 25.44/4.80 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18 % 25.44/4.80 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : ( % 25.44/4.80 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.44/4.80 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) & % 25.44/4.80 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.44/4.80 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.44/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | ( % 25.44/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.44/4.80 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.80 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0) % 25.44/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.44/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.44/4.80 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0) % 25.44/4.80 | & p101(v17) = v19))))))))))) & ! [v0: $i] : ! % 25.44/4.80 | [v1: any] : ( ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] % 25.44/4.80 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: % 25.44/4.80 | int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i] % 25.44/4.80 | : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] : % 25.44/4.80 | ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (((v16 = % 25.44/4.80 | 0 & v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ % 25.44/4.80 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 % 25.44/4.80 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 % 25.44/4.80 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = % 25.44/4.80 | 0) | ( ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) = % 25.89/4.80 | 0) | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0) = % 25.89/4.80 | 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v4 = 0) & % 25.89/4.80 | p100(v0) = v4) | (( ~ (v1 = 0) | ( ! [v17: $i] : ! [v18: % 25.89/4.80 | int] : (v18 = 0 | ~ (p1(v17) = v18) | ~ $i(v17) | % 25.89/4.80 | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) & % 25.89/4.80 | p100(v17) = v20) | ( ~ (v19 = 0) & r1(v0, v17) = % 25.89/4.80 | v19))) & ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ % 25.89/4.80 | $i(v17) | ? [v18: int] : ? [v19: int] : ((v19 = 0 & % 25.89/4.80 | p1(v17) = 0) | ( ~ (v18 = 0) & r1(v0, v17) = % 25.89/4.80 | v18))) & ! [v17: $i] : ( ~ (r1(v0, v17) = 0) | % 25.89/4.80 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : ((v18 = 0 % 25.89/4.80 | & p1(v17) = 0) | ( ~ (v19 = 0) & p100(v17) = % 25.89/4.80 | v19))))) & (v1 = 0 | ( ! [v17: $i] : ( ~ % 25.89/4.80 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p1(v17) = v18))))))) & (( ~ (v3 = 0) % 25.89/4.80 | & p101(v0) = v3) | (((v5 = 0 & p2(v0) = 0) | ( ! [v17: $i] % 25.89/4.80 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v5 = 0) & % 25.89/4.80 | p2(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.80 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | ( % 25.89/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.80 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p101(v17) = v19))))))))))) & ! [v0: $i] : ! % 25.89/4.80 | [v1: any] : ( ~ (p102(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: % 25.89/4.80 | int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : % 25.89/4.80 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: % 25.89/4.80 | $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] % 25.89/4.80 | : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (( ~ % 25.89/4.80 | (v1 = 0) | (v3 = 0 & p101(v0) = 0)) & ((v16 = 0 & v13 = 0 & % 25.89/4.80 | v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) & % 25.89/4.80 | ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 & p101(v12) % 25.89/4.80 | = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0, % 25.89/4.80 | v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = 0) | ( % 25.89/4.80 | ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) = 0) | ( % 25.89/4.80 | ~ (v3 = 0) & p101(v0) = v3)) & (( ~ (v4 = 0) & p100(v0) = % 25.89/4.80 | v4) | (((v6 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~ % 25.89/4.80 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v6 = 0) & % 25.89/4.80 | p1(v0) = v6) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.80 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | ( % 25.89/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.80 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p100(v17) = v19))))))) & (( ~ (v3 = 0) & % 25.89/4.80 | p101(v0) = v3) | (((v5 = 0 & p2(v0) = 0) | ( ! [v17: $i] : % 25.89/4.80 | ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v5 = 0) & % 25.89/4.80 | p2(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.80 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | ( % 25.89/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.80 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p101(v17) = v19))))))))))) & ! [v0: $i] : ! % 25.89/4.80 | [v1: any] : ( ~ (p101(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: % 25.89/4.80 | int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : % 25.89/4.80 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: % 25.89/4.80 | $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] % 25.89/4.80 | : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (( ~ % 25.89/4.80 | (v1 = 0) | (v3 = 0 & p100(v0) = 0)) & ( ~ (v1 = 0) | (((v4 = % 25.89/4.80 | 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) = 0) | % 25.89/4.80 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : (( ~ % 25.89/4.80 | (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) & % 25.89/4.80 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19: % 25.89/4.80 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18 % 25.89/4.80 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : ( % 25.89/4.80 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) & % 25.89/4.80 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.80 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | ( % 25.89/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.80 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p101(v17) = v19))))))) & (v1 = 0 | (v16 = 0 & % 25.89/4.80 | v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ % 25.89/4.80 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 % 25.89/4.80 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 % 25.89/4.80 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | ( ~ (v3 = 0) & % 25.89/4.80 | p100(v0) = v3)) & (v1 = 0 | ( ~ (v6 = 0) & p102(v0) = v6)) % 25.89/4.80 | & (( ~ (v3 = 0) & p100(v0) = v3) | (((v5 = 0 & p1(v0) = 0) | ( % 25.89/4.80 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? % 25.89/4.80 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & p1(v17) % 25.89/4.80 | = v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & % 25.89/4.80 | ! [v17: $i] : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: % 25.89/4.80 | int] : ? [v19: int] : (( ~ (v19 = 0) & p100(v17) = % 25.89/4.80 | v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & ! % 25.89/4.80 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? % 25.89/4.80 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & % 25.89/4.80 | p100(v17) = v19) | ( ~ (v18 = 0) & p1(v17) = % 25.89/4.80 | v18))))) & (( ~ (v5 = 0) & p1(v0) = v5) | ( ! % 25.89/4.80 | [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (p1(v17) = % 25.89/4.80 | v18) | ~ $i(v17) | ? [v19: int] : ? [v20: int] : % 25.89/4.80 | (( ~ (v20 = 0) & p100(v17) = v20) | ( ~ (v19 = 0) & % 25.89/4.80 | r1(v0, v17) = v19))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p100(v17) = v19))))))))))) & ! [v0: $i] : ! % 25.89/4.80 | [v1: any] : ( ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] % 25.89/4.80 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: % 25.89/4.80 | int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i] % 25.89/4.80 | : ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: int] : % 25.89/4.80 | ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) = v2) | (((v16 = % 25.89/4.80 | 0 & v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ % 25.89/4.80 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 % 25.89/4.80 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 % 25.89/4.80 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = % 25.89/4.80 | 0) | ( ~ (v4 = 0) & p100(v0) = v4)) & ((v4 = 0 & p100(v0) = % 25.89/4.80 | 0) | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0) = % 25.89/4.80 | 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v4 = 0) & % 25.89/4.80 | p100(v0) = v4) | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] : % 25.89/4.80 | ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.80 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.80 | (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0) & % 25.89/4.80 | p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.80 | | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.80 | ? [v20: int] : (( ~ (v20 = 0) & p100(v17) = v20) | ( % 25.89/4.80 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.80 | : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.80 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.80 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.80 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.80 | & p100(v17) = v19))))))) & (( ~ (v3 = 0) & % 25.89/4.80 | p101(v0) = v3) | (( ~ (v1 = 0) | ( ! [v17: $i] : ! [v18: % 25.89/4.80 | int] : (v18 = 0 | ~ (p2(v17) = v18) | ~ $i(v17) | % 25.89/4.80 | ? [v19: int] : ? [v20: int] : (( ~ (v20 = 0) & % 25.89/4.80 | p101(v17) = v20) | ( ~ (v19 = 0) & r1(v0, v17) = % 25.89/4.80 | v19))) & ! [v17: $i] : ( ~ (p101(v17) = 0) | ~ % 25.89/4.80 | $i(v17) | ? [v18: int] : ? [v19: int] : ((v19 = 0 & % 25.89/4.80 | p2(v17) = 0) | ( ~ (v18 = 0) & r1(v0, v17) = % 25.89/4.80 | v18))) & ! [v17: $i] : ( ~ (r1(v0, v17) = 0) | % 25.89/4.80 | ~ $i(v17) | ? [v18: int] : ? [v19: int] : ((v18 = 0 % 25.89/4.80 | & p2(v17) = 0) | ( ~ (v19 = 0) & p101(v17) = % 25.89/4.81 | v19))))) & (v1 = 0 | ( ! [v17: $i] : ( ~ % 25.89/4.81 | (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.81 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ % 25.89/4.81 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.81 | ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.81 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.81 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : % 25.89/4.81 | ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.81 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.81 | (v18 = 0) & p2(v17) = v18))))))))))) & ! [v0: % 25.89/4.81 | $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | p2(v0) = 0) & ! [v0: % 25.89/4.81 | $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 25.89/4.81 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: $i] : % 25.89/4.81 | ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: % 25.89/4.81 | $i] : ? [v12: int] : ? [v13: int] : ? [v14: int] : ? [v15: int] % 25.89/4.81 | : ($i(v11) & $i(v6) & ((v15 = 0 & v12 = 0 & v10 = 0 & v8 = 0 & v7 = 0 % 25.89/4.81 | & ~ (v14 = 0) & ~ (v13 = 0) & ~ (v9 = 0) & p102(v11) = v14 & % 25.89/4.81 | p102(v6) = v9 & p101(v11) = 0 & p101(v6) = 0 & p2(v11) = v13 & % 25.89/4.81 | p2(v6) = 0 & r1(v0, v11) = 0 & r1(v0, v6) = 0) | (v1 = 0 & % 25.89/4.81 | p101(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = v2)) & ((v2 = 0 & % 25.89/4.81 | p100(v0) = 0) | ( ~ (v1 = 0) & p101(v0) = v1)) & ((v1 = 0 & % 25.89/4.81 | p101(v0) = 0) | ( ~ (v5 = 0) & p102(v0) = v5)) & (( ~ (v2 = 0) % 25.89/4.81 | & p100(v0) = v2) | (((v4 = 0 & p1(v0) = 0) | ( ! [v16: $i] : ( % 25.89/4.81 | ~ (p100(v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: % 25.89/4.81 | int] : (( ~ (v18 = 0) & p1(v16) = v18) | ( ~ (v17 = 0) % 25.89/4.81 | & r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (p1(v16) % 25.89/4.81 | = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: int] : (( % 25.89/4.81 | ~ (v18 = 0) & p100(v16) = v18) | ( ~ (v17 = 0) & % 25.89/4.81 | r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (r1(v0, % 25.89/4.81 | v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: % 25.89/4.81 | int] : (( ~ (v18 = 0) & p100(v16) = v18) | ( ~ (v17 = % 25.89/4.81 | 0) & p1(v16) = v17))))) & (( ~ (v4 = 0) & p1(v0) = % 25.89/4.81 | v4) | ( ! [v16: $i] : ! [v17: int] : (v17 = 0 | ~ % 25.89/4.81 | (p1(v16) = v17) | ~ $i(v16) | ? [v18: int] : ? [v19: % 25.89/4.81 | int] : (( ~ (v19 = 0) & p100(v16) = v19) | ( ~ (v18 = % 25.89/4.81 | 0) & r1(v0, v16) = v18))) & ! [v16: $i] : ( ~ % 25.89/4.81 | (p100(v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: % 25.89/4.81 | int] : ((v18 = 0 & p1(v16) = 0) | ( ~ (v17 = 0) & % 25.89/4.81 | r1(v0, v16) = v17))) & ! [v16: $i] : ( ~ (r1(v0, % 25.89/4.81 | v16) = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: % 25.89/4.81 | int] : ((v17 = 0 & p1(v16) = 0) | ( ~ (v18 = 0) & % 25.89/4.81 | p100(v16) = v18))))))) & (( ~ (v1 = 0) & p101(v0) = % 25.89/4.81 | v1) | (((v3 = 0 & p2(v0) = 0) | ( ! [v16: $i] : ( ~ (p101(v16) % 25.89/4.81 | = 0) | ~ $i(v16) | ? [v17: int] : ? [v18: int] : (( % 25.89/4.81 | ~ (v18 = 0) & p2(v16) = v18) | ( ~ (v17 = 0) & r1(v0, % 25.89/4.81 | v16) = v17))) & ! [v16: $i] : ( ~ (p2(v16) = 0) | % 25.89/4.81 | ~ $i(v16) | ? [v17: int] : ? [v18: int] : (( ~ (v18 = % 25.89/4.81 | 0) & p101(v16) = v18) | ( ~ (v17 = 0) & r1(v0, v16) % 25.89/4.81 | = v17))) & ! [v16: $i] : ( ~ (r1(v0, v16) = 0) | ~ % 25.89/4.81 | $i(v16) | ? [v17: int] : ? [v18: int] : (( ~ (v18 = 0) % 25.89/4.81 | & p101(v16) = v18) | ( ~ (v17 = 0) & p2(v16) = % 25.89/4.81 | v17))))) & (( ~ (v3 = 0) & p2(v0) = v3) | ( ! [v16: % 25.89/4.81 | $i] : ! [v17: int] : (v17 = 0 | ~ (p2(v16) = v17) | ~ % 25.89/4.81 | $i(v16) | ? [v18: int] : ? [v19: int] : (( ~ (v19 = 0) % 25.89/4.81 | & p101(v16) = v19) | ( ~ (v18 = 0) & r1(v0, v16) = % 25.89/4.81 | v18))) & ! [v16: $i] : ( ~ (p101(v16) = 0) | ~ % 25.89/4.81 | $i(v16) | ? [v17: int] : ? [v18: int] : ((v18 = 0 & % 25.89/4.81 | p2(v16) = 0) | ( ~ (v17 = 0) & r1(v0, v16) = v17))) & % 25.89/4.81 | ! [v16: $i] : ( ~ (r1(v0, v16) = 0) | ~ $i(v16) | ? % 25.89/4.81 | [v17: int] : ? [v18: int] : ((v17 = 0 & p2(v16) = 0) | ( % 25.89/4.81 | ~ (v18 = 0) & p101(v16) = v18))))))))) % 25.89/4.81 | % 25.89/4.81 | ALPHA: (3) implies: % 25.89/4.81 | (4) ~ (all_5_0 = 0) % 25.89/4.81 | (5) $i(all_5_1) % 25.89/4.81 | (6) p101(all_5_1) = all_5_0 % 25.89/4.81 | (7) p100(all_5_1) = 0 % 25.89/4.81 | (8) ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | p2(v0) = 0) % 25.89/4.83 | (9) ! [v0: $i] : ! [v1: any] : ( ~ (p101(v0) = v1) | ~ $i(v0) | ? [v2: % 25.89/4.83 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : % 25.89/4.83 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: % 25.89/4.83 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: int] % 25.89/4.83 | : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & r1(all_5_1, v0) % 25.89/4.83 | = v2) | (( ~ (v1 = 0) | (v3 = 0 & p100(v0) = 0)) & ( ~ (v1 = 0) % 25.89/4.83 | | (((v4 = 0 & p2(v0) = 0) | ( ! [v17: $i] : ( ~ (p101(v17) = % 25.89/4.83 | 0) | ~ $i(v17) | ? [v18: int] : ? [v19: int] : % 25.89/4.83 | (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ (v18 = 0) & % 25.89/4.83 | r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.83 | (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? [v19: % 25.89/4.83 | int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ (v18 % 25.89/4.83 | = 0) & r1(v0, v17) = v18))) & ! [v17: $i] : ( % 25.89/4.83 | ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.83 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.83 | (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) & % 25.89/4.83 | p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 % 25.89/4.83 | | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: int] : % 25.89/4.83 | ? [v20: int] : (( ~ (v20 = 0) & p101(v17) = v20) | ( % 25.89/4.83 | ~ (v19 = 0) & r1(v0, v17) = v19))) & ! [v17: $i] % 25.89/4.83 | : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.83 | [v19: int] : ((v19 = 0 & p2(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.83 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.83 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.83 | [v19: int] : ((v18 = 0 & p2(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.83 | & p101(v17) = v19))))))) & (v1 = 0 | (v16 = 0 & % 25.89/4.83 | v13 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ % 25.89/4.83 | (v14 = 0) & ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 % 25.89/4.83 | & p101(v12) = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 % 25.89/4.83 | & r1(v0, v12) = 0 & r1(v0, v7) = 0) | ( ~ (v3 = 0) & % 25.89/4.83 | p100(v0) = v3)) & (v1 = 0 | ( ~ (v6 = 0) & p102(v0) = v6)) % 25.89/4.83 | & (( ~ (v3 = 0) & p100(v0) = v3) | (((v5 = 0 & p1(v0) = 0) | ( % 25.89/4.83 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? % 25.89/4.83 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & p1(v17) % 25.89/4.83 | = v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & % 25.89/4.83 | ! [v17: $i] : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: % 25.89/4.83 | int] : ? [v19: int] : (( ~ (v19 = 0) & p100(v17) = % 25.89/4.83 | v19) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & ! % 25.89/4.83 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? % 25.89/4.83 | [v18: int] : ? [v19: int] : (( ~ (v19 = 0) & % 25.89/4.83 | p100(v17) = v19) | ( ~ (v18 = 0) & p1(v17) = % 25.89/4.83 | v18))))) & (( ~ (v5 = 0) & p1(v0) = v5) | ( ! % 25.89/4.83 | [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (p1(v17) = % 25.89/4.83 | v18) | ~ $i(v17) | ? [v19: int] : ? [v20: int] : % 25.89/4.83 | (( ~ (v20 = 0) & p100(v17) = v20) | ( ~ (v19 = 0) & % 25.89/4.83 | r1(v0, v17) = v19))) & ! [v17: $i] : ( ~ % 25.89/4.83 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.83 | [v19: int] : ((v19 = 0 & p1(v17) = 0) | ( ~ (v18 = 0) % 25.89/4.83 | & r1(v0, v17) = v18))) & ! [v17: $i] : ( ~ % 25.89/4.83 | (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.83 | [v19: int] : ((v18 = 0 & p1(v17) = 0) | ( ~ (v19 = 0) % 25.89/4.83 | & p100(v17) = v19))))))))))) % 25.89/4.84 | (10) ! [v0: $i] : ! [v1: any] : ( ~ (p100(v0) = v1) | ~ $i(v0) | ? [v2: % 25.89/4.84 | int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : % 25.89/4.84 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: % 25.89/4.84 | int] : ? [v12: $i] : ? [v13: int] : ? [v14: int] : ? [v15: % 25.89/4.84 | int] : ? [v16: int] : ($i(v12) & $i(v7) & (( ~ (v2 = 0) & % 25.89/4.84 | r1(all_5_1, v0) = v2) | (( ~ (v1 = 0) | (v16 = 0 & v13 = 0 & % 25.89/4.84 | v11 = 0 & v9 = 0 & v8 = 0 & ~ (v15 = 0) & ~ (v14 = 0) & % 25.89/4.84 | ~ (v10 = 0) & p102(v12) = v15 & p102(v7) = v10 & p101(v12) % 25.89/4.84 | = 0 & p101(v7) = 0 & p2(v12) = v14 & p2(v7) = 0 & r1(v0, % 25.89/4.84 | v12) = 0 & r1(v0, v7) = 0) | (v3 = 0 & p101(v0) = 0)) & % 25.89/4.84 | ( ~ (v1 = 0) | (((v5 = 0 & p1(v0) = 0) | ( ! [v17: $i] : ( ~ % 25.89/4.84 | (p100(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.84 | [v19: int] : (( ~ (v19 = 0) & p1(v17) = v19) | ( ~ % 25.89/4.84 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] % 25.89/4.84 | : ( ~ (p1(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.84 | [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | ( ~ % 25.89/4.84 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] % 25.89/4.84 | : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : % 25.89/4.84 | ? [v19: int] : (( ~ (v19 = 0) & p100(v17) = v19) | % 25.89/4.84 | ( ~ (v18 = 0) & p1(v17) = v18))))) & (( ~ (v5 = 0) % 25.89/4.84 | & p1(v0) = v5) | ( ! [v17: $i] : ! [v18: int] : (v18 % 25.89/4.84 | = 0 | ~ (p1(v17) = v18) | ~ $i(v17) | ? [v19: % 25.89/4.84 | int] : ? [v20: int] : (( ~ (v20 = 0) & p100(v17) % 25.89/4.84 | = v20) | ( ~ (v19 = 0) & r1(v0, v17) = v19))) & % 25.89/4.84 | ! [v17: $i] : ( ~ (p100(v17) = 0) | ~ $i(v17) | ? % 25.89/4.84 | [v18: int] : ? [v19: int] : ((v19 = 0 & p1(v17) = % 25.89/4.84 | 0) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & ! % 25.89/4.84 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? % 25.89/4.84 | [v18: int] : ? [v19: int] : ((v18 = 0 & p1(v17) = % 25.89/4.84 | 0) | ( ~ (v19 = 0) & p100(v17) = v19))))))) & % 25.89/4.84 | (v1 = 0 | ( ~ (v3 = 0) & p101(v0) = v3)) & ((v3 = 0 & p101(v0) % 25.89/4.84 | = 0) | ( ~ (v6 = 0) & p102(v0) = v6)) & (( ~ (v3 = 0) & % 25.89/4.84 | p101(v0) = v3) | (((v4 = 0 & p2(v0) = 0) | ( ! [v17: $i] : % 25.89/4.84 | ( ~ (p101(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.84 | [v19: int] : (( ~ (v19 = 0) & p2(v17) = v19) | ( ~ % 25.89/4.84 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] % 25.89/4.84 | : ( ~ (p2(v17) = 0) | ~ $i(v17) | ? [v18: int] : ? % 25.89/4.84 | [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | ( ~ % 25.89/4.84 | (v18 = 0) & r1(v0, v17) = v18))) & ! [v17: $i] % 25.89/4.84 | : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? [v18: int] : % 25.89/4.84 | ? [v19: int] : (( ~ (v19 = 0) & p101(v17) = v19) | % 25.89/4.84 | ( ~ (v18 = 0) & p2(v17) = v18))))) & (( ~ (v4 = 0) % 25.89/4.84 | & p2(v0) = v4) | ( ! [v17: $i] : ! [v18: int] : (v18 % 25.89/4.84 | = 0 | ~ (p2(v17) = v18) | ~ $i(v17) | ? [v19: % 25.89/4.84 | int] : ? [v20: int] : (( ~ (v20 = 0) & p101(v17) % 25.89/4.84 | = v20) | ( ~ (v19 = 0) & r1(v0, v17) = v19))) & % 25.89/4.84 | ! [v17: $i] : ( ~ (p101(v17) = 0) | ~ $i(v17) | ? % 25.89/4.84 | [v18: int] : ? [v19: int] : ((v19 = 0 & p2(v17) = % 25.89/4.84 | 0) | ( ~ (v18 = 0) & r1(v0, v17) = v18))) & ! % 25.89/4.84 | [v17: $i] : ( ~ (r1(v0, v17) = 0) | ~ $i(v17) | ? % 25.89/4.84 | [v18: int] : ? [v19: int] : ((v18 = 0 & p2(v17) = % 25.89/4.84 | 0) | ( ~ (v19 = 0) & p101(v17) = v19))))))))))) % 25.89/4.84 | % 25.89/4.84 | GROUND_INST: instantiating (9) with all_5_1, all_5_0, simplifying with (5), % 25.89/4.84 | (6) gives: % 25.89/4.85 | (11) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: % 25.89/4.85 | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? % 25.89/4.85 | [v9: int] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ? [v13: % 25.89/4.85 | int] : ? [v14: int] : ($i(v10) & $i(v5) & (( ~ (v0 = 0) & % 25.89/4.85 | r1(all_5_1, all_5_1) = v0) | (( ~ (all_5_0 = 0) | (v1 = 0 & % 25.89/4.85 | p100(all_5_1) = 0)) & ( ~ (all_5_0 = 0) | (((v2 = 0 & % 25.89/4.85 | p2(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p101(v15) = 0) | % 25.89/4.85 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 % 25.89/4.85 | = 0) & p2(v15) = v17) | ( ~ (v16 = 0) & % 25.89/4.85 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~ % 25.89/4.85 | (p2(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: % 25.89/4.85 | int] : (( ~ (v17 = 0) & p101(v15) = v17) | ( ~ (v16 % 25.89/4.85 | = 0) & r1(all_5_1, v15) = v16))) & ! [v15: $i] % 25.89/4.85 | : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: % 25.89/4.85 | int] : ? [v17: int] : (( ~ (v17 = 0) & p101(v15) = % 25.89/4.85 | v17) | ( ~ (v16 = 0) & p2(v15) = v16))))) & (( ~ % 25.89/4.85 | (v2 = 0) & p2(all_5_1) = v2) | ( ! [v15: $i] : ! [v16: % 25.89/4.85 | int] : (v16 = 0 | ~ (p2(v15) = v16) | ~ $i(v15) | ? % 25.89/4.85 | [v17: int] : ? [v18: int] : (( ~ (v18 = 0) & % 25.89/4.86 | p101(v15) = v18) | ( ~ (v17 = 0) & r1(all_5_1, % 25.89/4.86 | v15) = v17))) & ! [v15: $i] : ( ~ (p101(v15) = % 25.89/4.86 | 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] : % 25.89/4.86 | ((v17 = 0 & p2(v15) = 0) | ( ~ (v16 = 0) & r1(all_5_1, % 25.89/4.86 | v15) = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1, % 25.89/4.86 | v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: % 25.89/4.86 | int] : ((v16 = 0 & p2(v15) = 0) | ( ~ (v17 = 0) & % 25.89/4.86 | p101(v15) = v17))))))) & (all_5_0 = 0 | (v14 = 0 & % 25.89/4.86 | v11 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & ~ (v13 = 0) & ~ (v12 % 25.89/4.86 | = 0) & ~ (v8 = 0) & p102(v10) = v13 & p102(v5) = v8 & % 25.89/4.86 | p101(v10) = 0 & p101(v5) = 0 & p2(v10) = v12 & p2(v5) = 0 & % 25.89/4.86 | r1(all_5_1, v10) = 0 & r1(all_5_1, v5) = 0) | ( ~ (v1 = 0) & % 25.89/4.86 | p100(all_5_1) = v1)) & (all_5_0 = 0 | ( ~ (v4 = 0) & % 25.89/4.86 | p102(all_5_1) = v4)) & (( ~ (v1 = 0) & p100(all_5_1) = v1) | % 25.89/4.86 | (((v3 = 0 & p1(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p100(v15) % 25.89/4.86 | = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] : % 25.89/4.86 | (( ~ (v17 = 0) & p1(v15) = v17) | ( ~ (v16 = 0) & % 25.89/4.86 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~ % 25.89/4.86 | (p1(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: % 25.89/4.86 | int] : (( ~ (v17 = 0) & p100(v15) = v17) | ( ~ (v16 % 25.89/4.86 | = 0) & r1(all_5_1, v15) = v16))) & ! [v15: $i] % 25.89/4.86 | : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: % 25.89/4.86 | int] : ? [v17: int] : (( ~ (v17 = 0) & p100(v15) = % 25.89/4.86 | v17) | ( ~ (v16 = 0) & p1(v15) = v16))))) & (( ~ % 25.89/4.86 | (v3 = 0) & p1(all_5_1) = v3) | ( ! [v15: $i] : ! [v16: % 25.89/4.86 | int] : (v16 = 0 | ~ (p1(v15) = v16) | ~ $i(v15) | ? % 25.89/4.86 | [v17: int] : ? [v18: int] : (( ~ (v18 = 0) & % 25.89/4.86 | p100(v15) = v18) | ( ~ (v17 = 0) & r1(all_5_1, % 25.89/4.86 | v15) = v17))) & ! [v15: $i] : ( ~ (p100(v15) = % 25.89/4.86 | 0) | ~ $i(v15) | ? [v16: int] : ? [v17: int] : % 25.89/4.86 | ((v17 = 0 & p1(v15) = 0) | ( ~ (v16 = 0) & r1(all_5_1, % 25.89/4.86 | v15) = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1, % 25.89/4.86 | v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: % 25.89/4.86 | int] : ((v16 = 0 & p1(v15) = 0) | ( ~ (v17 = 0) & % 25.89/4.86 | p100(v15) = v17)))))))))) % 25.89/4.86 | % 25.89/4.86 | GROUND_INST: instantiating (10) with all_5_1, 0, simplifying with (5), (7) % 25.89/4.86 | gives: % 25.89/4.87 | (12) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: % 25.89/4.87 | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? % 25.89/4.87 | [v9: int] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ? [v13: % 25.89/4.87 | int] : ? [v14: int] : ($i(v10) & $i(v5) & (( ~ (v0 = 0) & % 25.89/4.87 | r1(all_5_1, all_5_1) = v0) | (((v14 = 0 & v11 = 0 & v9 = 0 & v7 % 25.89/4.87 | = 0 & v6 = 0 & ~ (v13 = 0) & ~ (v12 = 0) & ~ (v8 = 0) & % 25.89/4.87 | p102(v10) = v13 & p102(v5) = v8 & p101(v10) = 0 & p101(v5) = % 25.89/4.87 | 0 & p2(v10) = v12 & p2(v5) = 0 & r1(all_5_1, v10) = 0 & % 25.89/4.87 | r1(all_5_1, v5) = 0) | (v1 = 0 & p101(all_5_1) = 0)) & ((v3 % 25.89/4.87 | = 0 & p1(all_5_1) = 0) | ( ! [v15: $i] : ( ~ (p100(v15) = 0) % 25.89/4.87 | | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 = % 25.89/4.87 | 0) & p1(v15) = v17) | ( ~ (v16 = 0) & r1(all_5_1, % 25.89/4.87 | v15) = v16))) & ! [v15: $i] : ( ~ (p1(v15) = 0) | % 25.89/4.87 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 = 0) % 25.89/4.87 | & p100(v15) = v17) | ( ~ (v16 = 0) & r1(all_5_1, v15) % 25.89/4.87 | = v16))) & ! [v15: $i] : ( ~ (r1(all_5_1, v15) = 0) | % 25.89/4.87 | ~ $i(v15) | ? [v16: int] : ? [v17: int] : (( ~ (v17 = % 25.89/4.87 | 0) & p100(v15) = v17) | ( ~ (v16 = 0) & p1(v15) = % 25.89/4.87 | v16))))) & ((v1 = 0 & p101(all_5_1) = 0) | ( ~ (v4 = % 25.89/4.87 | 0) & p102(all_5_1) = v4)) & (( ~ (v3 = 0) & p1(all_5_1) = % 25.89/4.87 | v3) | ( ! [v15: $i] : ! [v16: int] : (v16 = 0 | ~ (p1(v15) % 25.89/4.87 | = v16) | ~ $i(v15) | ? [v17: int] : ? [v18: int] : (( % 25.89/4.87 | ~ (v18 = 0) & p100(v15) = v18) | ( ~ (v17 = 0) & % 25.89/4.87 | r1(all_5_1, v15) = v17))) & ! [v15: $i] : ( ~ % 25.89/4.87 | (p100(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? [v17: % 25.89/4.87 | int] : ((v17 = 0 & p1(v15) = 0) | ( ~ (v16 = 0) & % 25.89/4.87 | r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~ % 25.89/4.87 | (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: int] : ? % 25.89/4.87 | [v17: int] : ((v16 = 0 & p1(v15) = 0) | ( ~ (v17 = 0) & % 25.89/4.87 | p100(v15) = v17))))) & (( ~ (v1 = 0) & p101(all_5_1) = % 25.89/4.87 | v1) | (((v2 = 0 & p2(all_5_1) = 0) | ( ! [v15: $i] : ( ~ % 25.89/4.87 | (p101(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? % 25.89/4.87 | [v17: int] : (( ~ (v17 = 0) & p2(v15) = v17) | ( ~ % 25.89/4.87 | (v16 = 0) & r1(all_5_1, v15) = v16))) & ! [v15: % 25.89/4.87 | $i] : ( ~ (p2(v15) = 0) | ~ $i(v15) | ? [v16: int] : % 25.89/4.87 | ? [v17: int] : (( ~ (v17 = 0) & p101(v15) = v17) | ( % 25.89/4.87 | ~ (v16 = 0) & r1(all_5_1, v15) = v16))) & ! [v15: % 25.89/4.87 | $i] : ( ~ (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? % 25.89/4.87 | [v16: int] : ? [v17: int] : (( ~ (v17 = 0) & % 25.89/4.87 | p101(v15) = v17) | ( ~ (v16 = 0) & p2(v15) = % 25.89/4.87 | v16))))) & (( ~ (v2 = 0) & p2(all_5_1) = v2) | ( ! % 25.89/4.87 | [v15: $i] : ! [v16: int] : (v16 = 0 | ~ (p2(v15) = % 25.89/4.87 | v16) | ~ $i(v15) | ? [v17: int] : ? [v18: int] : % 25.89/4.87 | (( ~ (v18 = 0) & p101(v15) = v18) | ( ~ (v17 = 0) & % 25.89/4.87 | r1(all_5_1, v15) = v17))) & ! [v15: $i] : ( ~ % 25.89/4.87 | (p101(v15) = 0) | ~ $i(v15) | ? [v16: int] : ? % 25.89/4.87 | [v17: int] : ((v17 = 0 & p2(v15) = 0) | ( ~ (v16 = 0) % 25.89/4.87 | & r1(all_5_1, v15) = v16))) & ! [v15: $i] : ( ~ % 25.89/4.87 | (r1(all_5_1, v15) = 0) | ~ $i(v15) | ? [v16: int] : % 25.89/4.87 | ? [v17: int] : ((v16 = 0 & p2(v15) = 0) | ( ~ (v17 = % 25.89/4.87 | 0) & p101(v15) = v17)))))))))) % 25.89/4.87 | % 25.89/4.87 | DELTA: instantiating (12) with fresh symbols all_13_0, all_13_1, all_13_2, % 25.89/4.87 | all_13_3, all_13_4, all_13_5, all_13_6, all_13_7, all_13_8, all_13_9, % 25.89/4.87 | all_13_10, all_13_11, all_13_12, all_13_13, all_13_14 gives: % 25.89/4.88 | (13) $i(all_13_4) & $i(all_13_9) & (( ~ (all_13_14 = 0) & r1(all_5_1, % 25.89/4.88 | all_5_1) = all_13_14) | (((all_13_0 = 0 & all_13_3 = 0 & % 25.89/4.88 | all_13_5 = 0 & all_13_7 = 0 & all_13_8 = 0 & ~ (all_13_1 = 0) % 25.89/4.88 | & ~ (all_13_2 = 0) & ~ (all_13_6 = 0) & p102(all_13_4) = % 25.89/4.88 | all_13_1 & p102(all_13_9) = all_13_6 & p101(all_13_4) = 0 & % 25.89/4.88 | p101(all_13_9) = 0 & p2(all_13_4) = all_13_2 & p2(all_13_9) = % 25.89/4.88 | 0 & r1(all_5_1, all_13_4) = 0 & r1(all_5_1, all_13_9) = 0) | % 25.89/4.88 | (all_13_13 = 0 & p101(all_5_1) = 0)) & ((all_13_11 = 0 & % 25.89/4.88 | p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ % 25.89/4.88 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 25.89/4.88 | p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & % 25.89/4.88 | ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 25.89/4.88 | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & % 25.89/4.88 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, % 25.89/4.88 | v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( % 25.89/4.88 | ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & p1(v0) = % 25.89/4.88 | v1))))) & ((all_13_13 = 0 & p101(all_5_1) = 0) | ( ~ % 25.89/4.88 | (all_13_10 = 0) & p102(all_5_1) = all_13_10)) & (( ~ % 25.89/4.88 | (all_13_11 = 0) & p1(all_5_1) = all_13_11) | ( ! [v0: $i] : ! % 25.89/4.88 | [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: % 25.89/4.88 | int] : ? [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ % 25.89/4.88 | (v2 = 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 25.89/4.88 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : % 25.89/4.88 | ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 25.89/4.88 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 25.89/4.88 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) = % 25.89/4.88 | 0) | ( ~ (v2 = 0) & p100(v0) = v2))))) & (( ~ (all_13_13 % 25.89/4.88 | = 0) & p101(all_5_1) = all_13_13) | (((all_13_12 = 0 & % 25.89/4.88 | p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~ % 25.89/4.88 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 25.89/4.88 | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 25.89/4.88 | v1))) & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) | % 25.89/4.88 | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = % 25.89/4.88 | v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! % 25.89/4.88 | [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: % 25.89/4.88 | int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | % 25.89/4.88 | ( ~ (v1 = 0) & p2(v0) = v1))))) & (( ~ (all_13_12 = 0) % 25.89/4.88 | & p2(all_5_1) = all_13_12) | ( ! [v0: $i] : ! [v1: int] : % 25.89/4.88 | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? % 25.89/4.88 | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = % 25.89/4.88 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 25.89/4.88 | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] % 25.89/4.88 | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, % 25.89/4.88 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 25.89/4.88 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = % 25.89/4.88 | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) = % 25.89/4.88 | v2))))))))) % 25.89/4.88 | % 25.89/4.88 | ALPHA: (13) implies: % 25.89/4.88 | (14) $i(all_13_4) % 25.89/4.89 | (15) ( ~ (all_13_14 = 0) & r1(all_5_1, all_5_1) = all_13_14) | (((all_13_0 % 25.89/4.89 | = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 & all_13_8 = 0 % 25.89/4.89 | & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~ (all_13_6 = 0) & % 25.89/4.89 | p102(all_13_4) = all_13_1 & p102(all_13_9) = all_13_6 & % 25.89/4.89 | p101(all_13_4) = 0 & p101(all_13_9) = 0 & p2(all_13_4) = % 25.89/4.89 | all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, all_13_4) = 0 & % 25.89/4.89 | r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 & p101(all_5_1) = % 25.89/4.89 | 0)) & ((all_13_11 = 0 & p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~ % 25.89/4.89 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( % 25.89/4.89 | ~ (v2 = 0) & p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) % 25.89/4.89 | = v1))) & ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? % 25.89/4.89 | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( % 25.89/4.89 | ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 25.89/4.89 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 25.89/4.89 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & % 25.89/4.89 | p1(v0) = v1))))) & ((all_13_13 = 0 & p101(all_5_1) = 0) | % 25.89/4.89 | ( ~ (all_13_10 = 0) & p102(all_5_1) = all_13_10)) & (( ~ % 25.89/4.89 | (all_13_11 = 0) & p1(all_5_1) = all_13_11) | ( ! [v0: $i] : ! % 25.89/4.89 | [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: % 25.89/4.89 | int] : ? [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ % 25.89/4.89 | (v2 = 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 25.89/4.89 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : % 25.89/4.89 | ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 25.89/4.89 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 25.89/4.89 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) = 0) % 25.89/4.89 | | ( ~ (v2 = 0) & p100(v0) = v2))))) & (( ~ (all_13_13 = 0) & % 25.89/4.89 | p101(all_5_1) = all_13_13) | (((all_13_12 = 0 & p2(all_5_1) = 0) % 25.89/4.89 | | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] % 25.89/4.89 | : ? [v2: int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 = % 25.89/4.89 | 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 25.89/4.89 | (p2(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : % 25.89/4.89 | (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & % 25.89/4.89 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 25.89/4.89 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 25.89/4.89 | int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & % 25.89/4.89 | p2(v0) = v1))))) & (( ~ (all_13_12 = 0) & p2(all_5_1) % 25.89/4.89 | = all_13_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 25.89/4.89 | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] : % 25.89/4.89 | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) & % 25.89/4.89 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0) % 25.89/4.89 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 = % 25.89/4.89 | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 25.89/4.89 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 25.89/4.89 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) = % 25.89/4.89 | 0) | ( ~ (v2 = 0) & p101(v0) = v2)))))))) % 25.89/4.89 | % 25.89/4.89 | DELTA: instantiating (11) with fresh symbols all_15_0, all_15_1, all_15_2, % 25.89/4.89 | all_15_3, all_15_4, all_15_5, all_15_6, all_15_7, all_15_8, all_15_9, % 25.89/4.89 | all_15_10, all_15_11, all_15_12, all_15_13, all_15_14 gives: % 26.32/4.90 | (16) $i(all_15_4) & $i(all_15_9) & (( ~ (all_15_14 = 0) & r1(all_5_1, % 26.32/4.90 | all_5_1) = all_15_14) | (( ~ (all_5_0 = 0) | (all_15_13 = 0 & % 26.32/4.90 | p100(all_5_1) = 0)) & ( ~ (all_5_0 = 0) | (((all_15_12 = 0 & % 26.32/4.90 | p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | ~ % 26.32/4.90 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 26.32/4.90 | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 26.32/4.90 | v1))) & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) | % 26.32/4.90 | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = % 26.32/4.90 | v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! % 26.32/4.90 | [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: % 26.32/4.90 | int] : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | % 26.32/4.91 | ( ~ (v1 = 0) & p2(v0) = v1))))) & (( ~ (all_15_12 = 0) % 26.32/4.91 | & p2(all_5_1) = all_15_12) | ( ! [v0: $i] : ! [v1: int] : % 26.32/4.91 | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? % 26.32/4.91 | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = % 26.32/4.91 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 26.32/4.91 | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] % 26.32/4.91 | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, % 26.32/4.91 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 26.32/4.91 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = % 26.32/4.91 | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) = % 26.32/4.91 | v2))))))) & (all_5_0 = 0 | (all_15_0 = 0 & all_15_3 % 26.32/4.91 | = 0 & all_15_5 = 0 & all_15_7 = 0 & all_15_8 = 0 & ~ % 26.32/4.91 | (all_15_1 = 0) & ~ (all_15_2 = 0) & ~ (all_15_6 = 0) & % 26.32/4.91 | p102(all_15_4) = all_15_1 & p102(all_15_9) = all_15_6 & % 26.32/4.91 | p101(all_15_4) = 0 & p101(all_15_9) = 0 & p2(all_15_4) = % 26.32/4.91 | all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, all_15_4) = 0 & % 26.32/4.91 | r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = 0) & % 26.32/4.91 | p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~ (all_15_10 = % 26.32/4.91 | 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13 = 0) & % 26.32/4.91 | p100(all_5_1) = all_15_13) | (((all_15_11 = 0 & p1(all_5_1) = % 26.32/4.91 | 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? % 26.32/4.91 | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2) % 26.32/4.91 | | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] % 26.32/4.91 | : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 26.32/4.91 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.91 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.91 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.91 | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = % 26.32/4.91 | 0) & p1(v0) = v1))))) & (( ~ (all_15_11 = 0) & % 26.32/4.91 | p1(all_5_1) = all_15_11) | ( ! [v0: $i] : ! [v1: int] : % 26.32/4.91 | (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? % 26.32/4.91 | [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 = % 26.32/4.91 | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 26.32/4.91 | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] % 26.32/4.91 | : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, % 26.32/4.91 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 26.32/4.91 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = % 26.32/4.91 | 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = % 26.32/4.91 | v2))))))))) % 26.32/4.91 | % 26.32/4.91 | ALPHA: (16) implies: % 26.32/4.92 | (17) ( ~ (all_15_14 = 0) & r1(all_5_1, all_5_1) = all_15_14) | (( ~ % 26.32/4.92 | (all_5_0 = 0) | (all_15_13 = 0 & p100(all_5_1) = 0)) & ( ~ % 26.32/4.92 | (all_5_0 = 0) | (((all_15_12 = 0 & p2(all_5_1) = 0) | ( ! [v0: $i] % 26.32/4.92 | : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 26.32/4.92 | int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.92 | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (p2(v0) = % 26.32/4.92 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 % 26.32/4.92 | = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, % 26.32/4.92 | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 26.32/4.92 | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 % 26.32/4.92 | = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & p2(v0) = % 26.32/4.92 | v1))))) & (( ~ (all_15_12 = 0) & p2(all_5_1) = % 26.32/4.92 | all_15_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 26.32/4.92 | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] : % 26.32/4.92 | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) & % 26.32/4.92 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0) % 26.32/4.92 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 = % 26.32/4.92 | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 26.32/4.92 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 26.32/4.92 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) = % 26.32/4.92 | 0) | ( ~ (v2 = 0) & p101(v0) = v2))))))) & (all_5_0 = % 26.32/4.92 | 0 | (all_15_0 = 0 & all_15_3 = 0 & all_15_5 = 0 & all_15_7 = 0 & % 26.32/4.92 | all_15_8 = 0 & ~ (all_15_1 = 0) & ~ (all_15_2 = 0) & ~ % 26.32/4.92 | (all_15_6 = 0) & p102(all_15_4) = all_15_1 & p102(all_15_9) = % 26.32/4.92 | all_15_6 & p101(all_15_4) = 0 & p101(all_15_9) = 0 & % 26.32/4.92 | p2(all_15_4) = all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, % 26.32/4.92 | all_15_4) = 0 & r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = % 26.32/4.92 | 0) & p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~ % 26.32/4.92 | (all_15_10 = 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13 % 26.32/4.92 | = 0) & p100(all_5_1) = all_15_13) | (((all_15_11 = 0 & % 26.32/4.92 | p1(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ % 26.32/4.92 | $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 26.32/4.92 | p1(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) % 26.32/4.92 | & ! [v0: $i] : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] % 26.32/4.92 | : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 % 26.32/4.92 | = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.92 | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 26.32/4.92 | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.92 | p1(v0) = v1))))) & (( ~ (all_15_11 = 0) & p1(all_5_1) % 26.32/4.92 | = all_15_11) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 26.32/4.92 | (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] : % 26.32/4.92 | (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 = 0) & % 26.32/4.92 | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p100(v0) % 26.32/4.92 | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 = % 26.32/4.92 | 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 26.32/4.92 | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 26.32/4.92 | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p1(v0) = % 26.32/4.92 | 0) | ( ~ (v2 = 0) & p100(v0) = v2)))))))) % 26.32/4.92 | % 26.32/4.92 | BETA: splitting (15) gives: % 26.32/4.92 | % 26.32/4.92 | Case 1: % 26.32/4.92 | | % 26.32/4.92 | | (18) ~ (all_13_14 = 0) & r1(all_5_1, all_5_1) = all_13_14 % 26.32/4.92 | | % 26.32/4.92 | | ALPHA: (18) implies: % 26.32/4.92 | | (19) ~ (all_13_14 = 0) % 26.32/4.92 | | (20) r1(all_5_1, all_5_1) = all_13_14 % 26.32/4.92 | | % 26.32/4.92 | | GROUND_INST: instantiating (reflexivity) with all_5_1, all_13_14, % 26.32/4.92 | | simplifying with (5), (20) gives: % 26.32/4.92 | | (21) all_13_14 = 0 % 26.32/4.92 | | % 26.32/4.92 | | REDUCE: (19), (21) imply: % 26.32/4.92 | | (22) $false % 26.32/4.92 | | % 26.32/4.92 | | CLOSE: (22) is inconsistent. % 26.32/4.92 | | % 26.32/4.92 | Case 2: % 26.32/4.92 | | % 26.32/4.93 | | (23) ((all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 & % 26.32/4.93 | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~ % 26.32/4.93 | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) = % 26.32/4.93 | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 & % 26.32/4.93 | | p2(all_13_4) = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, % 26.32/4.93 | | all_13_4) = 0 & r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 & % 26.32/4.93 | | p101(all_5_1) = 0)) & ((all_13_11 = 0 & p1(all_5_1) = 0) | ( ! % 26.32/4.93 | | [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.93 | | [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.93 | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (p1(v0) = 0) | % 26.32/4.93 | | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 26.32/4.93 | | p100(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & % 26.32/4.93 | | ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: % 26.32/4.93 | | int] : ? [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ % 26.32/4.93 | | (v1 = 0) & p1(v0) = v1))))) & ((all_13_13 = 0 & % 26.32/4.93 | | p101(all_5_1) = 0) | ( ~ (all_13_10 = 0) & p102(all_5_1) = % 26.32/4.94 | | all_13_10)) & (( ~ (all_13_11 = 0) & p1(all_5_1) = all_13_11) | % 26.32/4.94 | | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (p1(v0) = v1) | ~ % 26.32/4.94 | | $i(v0) | ? [v2: int] : ? [v3: int] : (( ~ (v3 = 0) & % 26.32/4.94 | | p100(v0) = v3) | ( ~ (v2 = 0) & r1(all_5_1, v0) = v2))) & % 26.32/4.94 | | ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.94 | | [v2: int] : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & % 26.32/4.94 | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, % 26.32/4.94 | | v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 % 26.32/4.94 | | = 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = v2))))) & (( % 26.32/4.94 | | ~ (all_13_13 = 0) & p101(all_5_1) = all_13_13) | (((all_13_12 = % 26.32/4.94 | | 0 & p2(all_5_1) = 0) | ( ! [v0: $i] : ( ~ (p101(v0) = 0) | % 26.32/4.94 | | ~ $i(v0) | ? [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & % 26.32/4.94 | | p2(v0) = v2) | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) % 26.32/4.94 | | & ! [v0: $i] : ( ~ (p2(v0) = 0) | ~ $i(v0) | ? [v1: int] % 26.32/4.94 | | : ? [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 % 26.32/4.94 | | = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.94 | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 26.32/4.94 | | int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.94 | | p2(v0) = v1))))) & (( ~ (all_13_12 = 0) & p2(all_5_1) % 26.32/4.94 | | = all_13_12) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 26.32/4.94 | | (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? [v3: int] : % 26.32/4.94 | | (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = 0) & % 26.32/4.94 | | r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ (p101(v0) % 26.32/4.94 | | = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v2 = % 26.32/4.94 | | 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, v0) = % 26.32/4.94 | | v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = 0) | ~ % 26.32/4.94 | | $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = 0 & p2(v0) = % 26.32/4.94 | | 0) | ( ~ (v2 = 0) & p101(v0) = v2))))))) % 26.32/4.94 | | % 26.32/4.94 | | ALPHA: (23) implies: % 26.32/4.94 | | (24) (all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 & % 26.32/4.94 | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~ % 26.32/4.94 | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) = % 26.32/4.94 | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 & p2(all_13_4) % 26.32/4.94 | | = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, all_13_4) = 0 & % 26.32/4.94 | | r1(all_5_1, all_13_9) = 0) | (all_13_13 = 0 & p101(all_5_1) = 0) % 26.32/4.94 | | % 26.32/4.94 | | BETA: splitting (17) gives: % 26.32/4.94 | | % 26.32/4.94 | | Case 1: % 26.32/4.94 | | | % 26.32/4.94 | | | (25) ~ (all_15_14 = 0) & r1(all_5_1, all_5_1) = all_15_14 % 26.32/4.94 | | | % 26.32/4.94 | | | ALPHA: (25) implies: % 26.32/4.94 | | | (26) ~ (all_15_14 = 0) % 26.32/4.94 | | | (27) r1(all_5_1, all_5_1) = all_15_14 % 26.32/4.94 | | | % 26.32/4.94 | | | GROUND_INST: instantiating (reflexivity) with all_5_1, all_15_14, % 26.32/4.94 | | | simplifying with (5), (27) gives: % 26.32/4.94 | | | (28) all_15_14 = 0 % 26.32/4.94 | | | % 26.32/4.94 | | | REDUCE: (26), (28) imply: % 26.32/4.94 | | | (29) $false % 26.32/4.94 | | | % 26.32/4.94 | | | CLOSE: (29) is inconsistent. % 26.32/4.94 | | | % 26.32/4.94 | | Case 2: % 26.32/4.94 | | | % 26.32/4.95 | | | (30) ( ~ (all_5_0 = 0) | (all_15_13 = 0 & p100(all_5_1) = 0)) & ( ~ % 26.32/4.95 | | | (all_5_0 = 0) | (((all_15_12 = 0 & p2(all_5_1) = 0) | ( ! [v0: % 26.32/4.95 | | | $i] : ( ~ (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.95 | | | [v2: int] : (( ~ (v2 = 0) & p2(v0) = v2) | ( ~ (v1 = 0) % 26.32/4.95 | | | & r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.95 | | | (p2(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : % 26.32/4.95 | | | (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.95 | | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.95 | | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.95 | | | [v2: int] : (( ~ (v2 = 0) & p101(v0) = v2) | ( ~ (v1 = % 26.32/4.95 | | | 0) & p2(v0) = v1))))) & (( ~ (all_15_12 = 0) & % 26.32/4.95 | | | p2(all_5_1) = all_15_12) | ( ! [v0: $i] : ! [v1: int] : % 26.32/4.95 | | | (v1 = 0 | ~ (p2(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? % 26.32/4.95 | | | [v3: int] : (( ~ (v3 = 0) & p101(v0) = v3) | ( ~ (v2 = % 26.32/4.95 | | | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 26.32/4.95 | | | (p101(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] % 26.32/4.95 | | | : ((v2 = 0 & p2(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, % 26.32/4.95 | | | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 26.32/4.95 | | | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = % 26.32/4.95 | | | 0 & p2(v0) = 0) | ( ~ (v2 = 0) & p101(v0) = % 26.32/4.95 | | | v2))))))) & (all_5_0 = 0 | (all_15_0 = 0 & all_15_3 % 26.32/4.95 | | | = 0 & all_15_5 = 0 & all_15_7 = 0 & all_15_8 = 0 & ~ % 26.32/4.95 | | | (all_15_1 = 0) & ~ (all_15_2 = 0) & ~ (all_15_6 = 0) & % 26.32/4.95 | | | p102(all_15_4) = all_15_1 & p102(all_15_9) = all_15_6 & % 26.32/4.95 | | | p101(all_15_4) = 0 & p101(all_15_9) = 0 & p2(all_15_4) = % 26.32/4.95 | | | all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, all_15_4) = 0 & % 26.32/4.95 | | | r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = 0) & % 26.32/4.95 | | | p100(all_5_1) = all_15_13)) & (all_5_0 = 0 | ( ~ (all_15_10 = % 26.32/4.95 | | | 0) & p102(all_5_1) = all_15_10)) & (( ~ (all_15_13 = 0) & % 26.32/4.95 | | | p100(all_5_1) = all_15_13) | (((all_15_11 = 0 & p1(all_5_1) = % 26.32/4.95 | | | 0) | ( ! [v0: $i] : ( ~ (p100(v0) = 0) | ~ $i(v0) | ? % 26.32/4.95 | | | [v1: int] : ? [v2: int] : (( ~ (v2 = 0) & p1(v0) = v2) % 26.32/4.95 | | | | ( ~ (v1 = 0) & r1(all_5_1, v0) = v1))) & ! [v0: $i] % 26.32/4.95 | | | : ( ~ (p1(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: % 26.32/4.95 | | | int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = 0) & % 26.32/4.95 | | | r1(all_5_1, v0) = v1))) & ! [v0: $i] : ( ~ % 26.32/4.95 | | | (r1(all_5_1, v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 26.32/4.95 | | | [v2: int] : (( ~ (v2 = 0) & p100(v0) = v2) | ( ~ (v1 = % 26.32/4.95 | | | 0) & p1(v0) = v1))))) & (( ~ (all_15_11 = 0) & % 26.32/4.95 | | | p1(all_5_1) = all_15_11) | ( ! [v0: $i] : ! [v1: int] : % 26.32/4.95 | | | (v1 = 0 | ~ (p1(v0) = v1) | ~ $i(v0) | ? [v2: int] : ? % 26.32/4.95 | | | [v3: int] : (( ~ (v3 = 0) & p100(v0) = v3) | ( ~ (v2 = % 26.32/4.95 | | | 0) & r1(all_5_1, v0) = v2))) & ! [v0: $i] : ( ~ % 26.32/4.95 | | | (p100(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] % 26.32/4.95 | | | : ((v2 = 0 & p1(v0) = 0) | ( ~ (v1 = 0) & r1(all_5_1, % 26.32/4.95 | | | v0) = v1))) & ! [v0: $i] : ( ~ (r1(all_5_1, v0) = % 26.32/4.95 | | | 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ((v1 = % 26.32/4.95 | | | 0 & p1(v0) = 0) | ( ~ (v2 = 0) & p100(v0) = % 26.32/4.95 | | | v2))))))) % 26.32/4.95 | | | % 26.32/4.95 | | | ALPHA: (30) implies: % 26.32/4.95 | | | (31) all_5_0 = 0 | (all_15_0 = 0 & all_15_3 = 0 & all_15_5 = 0 & % 26.32/4.95 | | | all_15_7 = 0 & all_15_8 = 0 & ~ (all_15_1 = 0) & ~ (all_15_2 = % 26.32/4.95 | | | 0) & ~ (all_15_6 = 0) & p102(all_15_4) = all_15_1 & % 26.32/4.95 | | | p102(all_15_9) = all_15_6 & p101(all_15_4) = 0 & p101(all_15_9) % 26.32/4.95 | | | = 0 & p2(all_15_4) = all_15_2 & p2(all_15_9) = 0 & r1(all_5_1, % 26.32/4.95 | | | all_15_4) = 0 & r1(all_5_1, all_15_9) = 0) | ( ~ (all_15_13 = % 26.32/4.95 | | | 0) & p100(all_5_1) = all_15_13) % 26.32/4.95 | | | % 26.32/4.95 | | | BETA: splitting (24) gives: % 26.32/4.95 | | | % 26.32/4.95 | | | Case 1: % 26.32/4.95 | | | | % 26.32/4.96 | | | | (32) all_13_0 = 0 & all_13_3 = 0 & all_13_5 = 0 & all_13_7 = 0 & % 26.32/4.96 | | | | all_13_8 = 0 & ~ (all_13_1 = 0) & ~ (all_13_2 = 0) & ~ % 26.32/4.96 | | | | (all_13_6 = 0) & p102(all_13_4) = all_13_1 & p102(all_13_9) = % 26.32/4.96 | | | | all_13_6 & p101(all_13_4) = 0 & p101(all_13_9) = 0 & % 26.32/4.96 | | | | p2(all_13_4) = all_13_2 & p2(all_13_9) = 0 & r1(all_5_1, % 26.32/4.96 | | | | all_13_4) = 0 & r1(all_5_1, all_13_9) = 0 % 26.32/4.96 | | | | % 26.32/4.96 | | | | ALPHA: (32) implies: % 26.32/4.96 | | | | (33) ~ (all_13_2 = 0) % 26.32/4.96 | | | | (34) r1(all_5_1, all_13_4) = 0 % 26.32/4.96 | | | | (35) p2(all_13_4) = all_13_2 % 26.32/4.96 | | | | % 26.32/4.96 | | | | BETA: splitting (31) gives: % 26.32/4.96 | | | | % 26.32/4.96 | | | | Case 1: % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | (36) all_5_0 = 0 % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | REDUCE: (4), (36) imply: % 26.32/4.96 | | | | | (37) $false % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | CLOSE: (37) is inconsistent. % 26.32/4.96 | | | | | % 26.32/4.96 | | | | Case 2: % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | GROUND_INST: instantiating (8) with all_13_4, simplifying with (14), % 26.32/4.96 | | | | | (34) gives: % 26.32/4.96 | | | | | (38) p2(all_13_4) = 0 % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | GROUND_INST: instantiating (1) with all_13_2, 0, all_13_4, simplifying % 26.32/4.96 | | | | | with (35), (38) gives: % 26.32/4.96 | | | | | (39) all_13_2 = 0 % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | REDUCE: (33), (39) imply: % 26.32/4.96 | | | | | (40) $false % 26.32/4.96 | | | | | % 26.32/4.96 | | | | | CLOSE: (40) is inconsistent. % 26.32/4.96 | | | | | % 26.32/4.96 | | | | End of split % 26.32/4.96 | | | | % 26.32/4.96 | | | Case 2: % 26.32/4.96 | | | | % 26.32/4.96 | | | | (41) all_13_13 = 0 & p101(all_5_1) = 0 % 26.32/4.96 | | | | % 26.32/4.96 | | | | ALPHA: (41) implies: % 26.32/4.96 | | | | (42) p101(all_5_1) = 0 % 26.32/4.96 | | | | % 26.32/4.96 | | | | GROUND_INST: instantiating (2) with all_5_0, 0, all_5_1, simplifying % 26.32/4.96 | | | | with (6), (42) gives: % 26.32/4.96 | | | | (43) all_5_0 = 0 % 26.32/4.96 | | | | % 26.32/4.96 | | | | REDUCE: (4), (43) imply: % 26.32/4.96 | | | | (44) $false % 26.32/4.96 | | | | % 26.32/4.96 | | | | CLOSE: (44) is inconsistent. % 26.32/4.96 | | | | % 26.32/4.96 | | | End of split % 26.32/4.96 | | | % 26.32/4.96 | | End of split % 26.32/4.96 | | % 26.32/4.96 | End of split % 26.32/4.96 | % 26.32/4.96 End of proof % 26.32/4.96 % SZS output end Proof for theBenchmark % 26.32/4.96 % 26.32/4.96 4251ms %------------------------------------------------------------------------------