%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 05:51:12 EDT 2023 % Result : Unsatisfiable 7.17s 1.86s % Output : Proof 13.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Mon Aug 28 01:15:08 EDT 2023 % 0.12/0.33 % CPUTime : % 0.17/0.62 ________ _____ % 0.17/0.62 ___ __ \_________(_)________________________________ % 0.17/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.62 % 0.17/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.62 (2023-06-19) % 0.17/0.62 % 0.17/0.62 (c) Philipp Rümmer, 2009-2023 % 0.17/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.62 Amanda Stjerna. % 0.17/0.62 Free software under BSD-3-Clause. % 0.17/0.62 % 0.17/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.62 % 0.17/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.17/0.64 Running up to 7 provers in parallel. % 0.17/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.17/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.17/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 2.69/1.20 Prover 4: Preprocessing ... % 2.69/1.20 Prover 1: Preprocessing ... % 3.14/1.27 Prover 6: Preprocessing ... % 3.14/1.27 Prover 2: Preprocessing ... % 3.14/1.27 Prover 3: Preprocessing ... % 3.14/1.27 Prover 0: Preprocessing ... % 3.14/1.27 Prover 5: Preprocessing ... % 4.98/1.55 Prover 5: Proving ... % 6.35/1.73 Prover 2: Proving ... % 7.17/1.86 Prover 5: proved (1208ms) % 7.17/1.86 % 7.17/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.17/1.86 % 7.17/1.87 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.17/1.87 Prover 2: stopped % 7.17/1.87 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.87/1.93 Prover 1: Constructing countermodel ... % 7.87/1.93 Prover 8: Preprocessing ... % 7.87/1.96 Prover 6: Proving ... % 7.87/1.96 Prover 7: Preprocessing ... % 7.87/1.96 Prover 3: Constructing countermodel ... % 7.87/1.97 Prover 6: stopped % 7.87/1.98 Prover 3: stopped % 8.55/2.00 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.55/2.00 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.55/2.04 Prover 10: Preprocessing ... % 8.55/2.06 Prover 11: Preprocessing ... % 8.55/2.07 Prover 7: Warning: ignoring some quantifiers % 8.55/2.08 Prover 7: Constructing countermodel ... % 8.55/2.14 Prover 10: Warning: ignoring some quantifiers % 8.55/2.15 Prover 10: Constructing countermodel ... % 10.19/2.28 Prover 1: Found proof (size 18) % 10.19/2.28 Prover 1: proved (1627ms) % 10.19/2.28 Prover 10: stopped % 10.19/2.29 Prover 7: stopped % 10.67/2.35 Prover 8: Warning: ignoring some quantifiers % 10.67/2.37 Prover 8: Constructing countermodel ... % 11.20/2.39 Prover 8: stopped % 11.20/2.40 Prover 4: stopped % 12.46/2.62 Prover 0: stopped % 12.75/2.74 Prover 11: stopped % 12.75/2.74 % 12.75/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.75/2.75 % 12.75/2.75 % SZS output start Proof for theBenchmark % 12.75/2.76 Assumptions after simplification: % 12.75/2.76 --------------------------------- % 12.75/2.76 % 12.75/2.76 (axiom_3) % 12.75/2.80 ! [v0: $i] : ( ~ (cC2(v0) = 0) | ~ $i(v0) | ? [v1: MultipleValueBool] : % 12.75/2.80 (cB(v0) = v1 & cA(v0) = 0)) % 12.75/2.80 % 12.75/2.80 (axiom_4) % 12.75/2.80 ! [v0: $i] : ( ~ (cC3(v0) = 0) | ~ $i(v0) | ? [v1: MultipleValueBool] : ? % 12.75/2.80 [v2: int] : ( ~ (v2 = 0) & cB(v0) = v1 & cA(v0) = v2)) % 12.75/2.80 % 12.75/2.80 (axiom_5) % 12.75/2.80 ! [v0: $i] : ( ~ (cC4(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (rR(v0, v1) = 0 & % 12.75/2.80 cC2(v1) = 0 & $i(v1))) % 12.75/2.81 % 12.75/2.81 (axiom_6) % 12.75/2.81 ! [v0: $i] : ( ~ (cC5(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~ (rR(v0, v1) = % 12.75/2.81 0) | ~ $i(v1) | cC3(v1) = 0)) % 12.75/2.81 % 12.75/2.81 (axiom_7) % 12.75/2.81 ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | (cC5(v0) = 0 & cC4(v0) = 0 & % 12.75/2.81 cC1(v0) = 0)) % 12.75/2.81 % 12.75/2.81 (axiom_8) % 12.75/2.81 cTEST(i2003_11_14_17_19_57994) = 0 & $i(i2003_11_14_17_19_57994) % 12.75/2.81 % 12.75/2.81 (function-axioms) % 13.38/2.88 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 13.38/2.88 [v3: $i] : (v1 = v0 | ~ (rR(v3, v2) = v1) | ~ (rR(v3, v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.88 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC5(v2) = v1) | ~ % 13.38/2.88 (cC5(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cC3(v2) = v1) | ~ (cC3(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.38/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ % 13.38/2.88 (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cB(v2) = v1) | ~ (cB(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.38/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB9(v2) = v1) | ~ % 13.38/2.88 (cB9(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cC1(v2) = v1) | ~ (cC1(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cB5(v2) = v1) | ~ (cB5(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.38/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA5(v2) = v1) | ~ % 13.38/2.88 (cA5(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cB13(v2) = v1) | ~ (cB13(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cA13(v2) = v1) | ~ (cA13(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.88 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA1(v2) = v1) | ~ % 13.38/2.88 (cA1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cB1(v2) = v1) | ~ (cB1(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cA27(v2) = v1) | ~ (cA27(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.88 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB27(v2) = v1) | ~ % 13.38/2.88 (cB27(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.88 ! [v2: $i] : (v1 = v0 | ~ (cA4(v2) = v1) | ~ (cA4(v2) = v0)) & ! [v0: % 13.38/2.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.88 ~ (cB4(v2) = v1) | ~ (cB4(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.38/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB12(v2) = v1) | ~ % 13.38/2.89 (cB12(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA12(v2) = v1) | ~ (cA12(v2) = v0)) & ! [v0: % 13.38/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.89 ~ (cB30(v2) = v1) | ~ (cB30(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA30(v2) = v1) | ~ % 13.38/2.89 (cA30(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA20(v2) = v1) | ~ (cA20(v2) = v0)) & ! [v0: % 13.38/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.89 ~ (cB20(v2) = v1) | ~ (cB20(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB14(v2) = v1) | ~ % 13.38/2.89 (cB14(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA14(v2) = v1) | ~ (cA14(v2) = v0)) & ! [v0: % 13.38/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.89 ~ (cB28(v2) = v1) | ~ (cB28(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA28(v2) = v1) | ~ % 13.38/2.89 (cA28(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA3(v2) = v1) | ~ (cA3(v2) = v0)) & ! [v0: % 13.38/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.89 ~ (cB3(v2) = v1) | ~ (cB3(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.38/2.89 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB7(v2) = v1) | ~ % 13.38/2.89 (cB7(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.38/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA7(v2) = v1) | ~ (cA7(v2) = v0)) & ! [v0: % 13.38/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.38/2.89 ~ (cB21(v2) = v1) | ~ (cB21(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.38/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA21(v2) = v1) | ~ % 13.76/2.89 (cA21(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cB22(v2) = v1) | ~ (cB22(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cA22(v2) = v1) | ~ (cA22(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB17(v2) = v1) | ~ % 13.76/2.89 (cB17(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA17(v2) = v1) | ~ (cA17(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cB11(v2) = v1) | ~ (cB11(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA11(v2) = v1) | ~ % 13.76/2.89 (cA11(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cB19(v2) = v1) | ~ (cB19(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cA19(v2) = v1) | ~ (cA19(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA8(v2) = v1) | ~ % 13.76/2.89 (cA8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cB8(v2) = v1) | ~ (cB8(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cA26(v2) = v1) | ~ (cA26(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB26(v2) = v1) | ~ % 13.76/2.89 (cB26(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA25(v2) = v1) | ~ (cA25(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cB25(v2) = v1) | ~ (cB25(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA29(v2) = v1) | ~ % 13.76/2.89 (cA29(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cB29(v2) = v1) | ~ (cB29(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cB23(v2) = v1) | ~ (cB23(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA23(v2) = v1) | ~ % 13.76/2.89 (cA23(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cB18(v2) = v1) | ~ (cB18(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cA18(v2) = v1) | ~ (cA18(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.89 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB10(v2) = v1) | ~ % 13.76/2.89 (cB10(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.89 ! [v2: $i] : (v1 = v0 | ~ (cA10(v2) = v1) | ~ (cA10(v2) = v0)) & ! [v0: % 13.76/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.89 ~ (cB2(v2) = v1) | ~ (cB2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.76/2.89 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA2(v2) = v1) | ~ % 13.76/2.89 (cA2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.90 ! [v2: $i] : (v1 = v0 | ~ (cA16(v2) = v1) | ~ (cA16(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cB16(v2) = v1) | ~ (cB16(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.90 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB0(v2) = v1) | ~ % 13.76/2.90 (cB0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.90 ! [v2: $i] : (v1 = v0 | ~ (cA0(v2) = v1) | ~ (cA0(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cB31(v2) = v1) | ~ (cB31(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.90 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA31(v2) = v1) | ~ % 13.76/2.90 (cA31(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.90 ! [v2: $i] : (v1 = v0 | ~ (cA9(v2) = v1) | ~ (cA9(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cB6(v2) = v1) | ~ (cB6(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.76/2.90 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA6(v2) = v1) | ~ % 13.76/2.90 (cA6(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.90 ! [v2: $i] : (v1 = v0 | ~ (cB24(v2) = v1) | ~ (cB24(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cA24(v2) = v1) | ~ (cA24(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.76/2.90 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cB15(v2) = v1) | ~ % 13.76/2.90 (cB15(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.76/2.90 ! [v2: $i] : (v1 = v0 | ~ (cA15(v2) = v1) | ~ (cA15(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 13.76/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.76/2.90 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 13.76/2.90 % 13.76/2.90 Further assumptions not needed in the proof: % 13.76/2.90 -------------------------------------------- % 13.76/2.90 axiom_0, axiom_1, axiom_2 % 13.76/2.90 % 13.76/2.90 Those formulas are unsatisfiable: % 13.76/2.90 --------------------------------- % 13.76/2.90 % 13.76/2.90 Begin of proof % 13.76/2.90 | % 13.76/2.90 | ALPHA: (axiom_8) implies: % 13.76/2.91 | (1) $i(i2003_11_14_17_19_57994) % 13.76/2.91 | (2) cTEST(i2003_11_14_17_19_57994) = 0 % 13.76/2.91 | % 13.76/2.91 | ALPHA: (function-axioms) implies: % 13.76/2.91 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 13.76/2.91 | (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) % 13.76/2.91 | % 13.76/2.91 | GROUND_INST: instantiating (axiom_7) with i2003_11_14_17_19_57994, simplifying % 13.76/2.91 | with (1), (2) gives: % 13.76/2.91 | (4) cC5(i2003_11_14_17_19_57994) = 0 & cC4(i2003_11_14_17_19_57994) = 0 & % 13.76/2.91 | cC1(i2003_11_14_17_19_57994) = 0 % 13.76/2.91 | % 13.76/2.91 | ALPHA: (4) implies: % 13.76/2.91 | (5) cC4(i2003_11_14_17_19_57994) = 0 % 13.76/2.91 | (6) cC5(i2003_11_14_17_19_57994) = 0 % 13.76/2.91 | % 13.76/2.91 | GROUND_INST: instantiating (axiom_5) with i2003_11_14_17_19_57994, simplifying % 13.76/2.91 | with (1), (5) gives: % 13.76/2.91 | (7) ? [v0: $i] : (rR(i2003_11_14_17_19_57994, v0) = 0 & cC2(v0) = 0 & % 13.76/2.91 | $i(v0)) % 13.76/2.92 | % 13.76/2.92 | GROUND_INST: instantiating (axiom_6) with i2003_11_14_17_19_57994, simplifying % 13.76/2.92 | with (1), (6) gives: % 13.76/2.92 | (8) ! [v0: $i] : ( ~ (rR(i2003_11_14_17_19_57994, v0) = 0) | ~ $i(v0) | % 13.76/2.92 | cC3(v0) = 0) % 13.76/2.92 | % 13.76/2.92 | DELTA: instantiating (7) with fresh symbol all_24_0 gives: % 13.76/2.92 | (9) rR(i2003_11_14_17_19_57994, all_24_0) = 0 & cC2(all_24_0) = 0 & % 13.76/2.92 | $i(all_24_0) % 13.76/2.92 | % 13.76/2.92 | ALPHA: (9) implies: % 13.76/2.92 | (10) $i(all_24_0) % 13.76/2.92 | (11) cC2(all_24_0) = 0 % 13.76/2.92 | (12) rR(i2003_11_14_17_19_57994, all_24_0) = 0 % 13.76/2.92 | % 13.76/2.92 | GROUND_INST: instantiating (axiom_3) with all_24_0, simplifying with (10), % 13.76/2.92 | (11) gives: % 13.76/2.92 | (13) ? [v0: MultipleValueBool] : (cB(all_24_0) = v0 & cA(all_24_0) = 0) % 13.76/2.92 | % 13.76/2.92 | GROUND_INST: instantiating (8) with all_24_0, simplifying with (10), (12) % 13.76/2.92 | gives: % 13.76/2.92 | (14) cC3(all_24_0) = 0 % 13.76/2.92 | % 13.76/2.92 | DELTA: instantiating (13) with fresh symbol all_32_0 gives: % 13.92/2.92 | (15) cB(all_24_0) = all_32_0 & cA(all_24_0) = 0 % 13.92/2.92 | % 13.92/2.92 | ALPHA: (15) implies: % 13.92/2.92 | (16) cA(all_24_0) = 0 % 13.92/2.92 | % 13.92/2.92 | GROUND_INST: instantiating (axiom_4) with all_24_0, simplifying with (10), % 13.92/2.92 | (14) gives: % 13.92/2.92 | (17) ? [v0: MultipleValueBool] : ? [v1: int] : ( ~ (v1 = 0) & % 13.92/2.92 | cB(all_24_0) = v0 & cA(all_24_0) = v1) % 13.92/2.92 | % 13.92/2.92 | DELTA: instantiating (17) with fresh symbols all_39_0, all_39_1 gives: % 13.92/2.92 | (18) ~ (all_39_0 = 0) & cB(all_24_0) = all_39_1 & cA(all_24_0) = all_39_0 % 13.92/2.92 | % 13.92/2.92 | ALPHA: (18) implies: % 13.92/2.93 | (19) ~ (all_39_0 = 0) % 13.92/2.93 | (20) cA(all_24_0) = all_39_0 % 13.92/2.93 | % 13.92/2.93 | GROUND_INST: instantiating (3) with 0, all_39_0, all_24_0, simplifying with % 13.92/2.93 | (16), (20) gives: % 13.92/2.93 | (21) all_39_0 = 0 % 13.92/2.93 | % 13.92/2.93 | REDUCE: (19), (21) imply: % 13.92/2.93 | (22) $false % 13.92/2.93 | % 13.92/2.93 | CLOSE: (22) is inconsistent. % 13.92/2.93 | % 13.96/2.93 End of proof % 13.96/2.93 % SZS output end Proof for theBenchmark % 13.96/2.93 % 13.96/2.93 2307ms %------------------------------------------------------------------------------