%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : COM271_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n004.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 : Tue May 5 06:21:40 PM UTC 2026 % Result : Theorem 28.07s 4.36s % Output : Proof 38.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COM271_1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.32 % Computer : n004.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.32 % WCLimit : 300 % 0.15/0.32 % DateTime : Mon May 4 20:04:32 EDT 2026 % 0.15/0.33 % CPUTime : % 0.54/0.57 ________ _____ % 0.54/0.57 ___ __ \_________(_)________________________________ % 0.54/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.54/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.54/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.54/0.57 % 0.54/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.54/0.57 (2023-06-19) % 0.54/0.57 % 0.54/0.57 (c) Philipp Rümmer, 2009-2023 % 0.54/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.54/0.57 Amanda Stjerna. % 0.54/0.57 Free software under BSD-3-Clause. % 0.54/0.57 % 0.54/0.57 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.54/0.57 % 0.54/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.54/0.58 Running up to 7 provers in parallel. % 0.54/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.54/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.54/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.54/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.54/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.54/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.54/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 9.56/1.91 Prover 4: Preprocessing ... % 9.56/1.91 Prover 1: Preprocessing ... % 9.56/1.95 Prover 5: Preprocessing ... % 9.56/1.95 Prover 3: Preprocessing ... % 9.56/1.95 Prover 2: Preprocessing ... % 9.56/1.95 Prover 6: Preprocessing ... % 9.56/1.95 Prover 0: Preprocessing ... % 22.64/3.67 Prover 1: Warning: ignoring some quantifiers % 23.50/3.73 Prover 3: Warning: ignoring some quantifiers % 23.50/3.79 Prover 1: Constructing countermodel ... % 24.18/3.80 Prover 3: Constructing countermodel ... % 24.18/3.81 Prover 6: Proving ... % 25.89/4.09 Prover 5: Proving ... % 27.29/4.23 Prover 4: Warning: ignoring some quantifiers % 28.07/4.36 Prover 3: proved (3766ms) % 28.07/4.36 % 28.07/4.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 28.07/4.36 % 28.07/4.36 Prover 5: stopped % 28.07/4.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 28.07/4.36 Prover 4: Constructing countermodel ... % 28.07/4.37 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 28.07/4.37 Prover 6: stopped % 28.07/4.38 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 28.82/4.43 Prover 0: Proving ... % 28.82/4.43 Prover 0: stopped % 28.82/4.44 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 33.60/5.06 Prover 10: Preprocessing ... % 33.60/5.07 Prover 7: Preprocessing ... % 33.60/5.07 Prover 8: Preprocessing ... % 34.38/5.15 Prover 11: Preprocessing ... % 34.38/5.18 Prover 1: Found proof (size 98) % 34.38/5.18 Prover 1: proved (4586ms) % 34.38/5.18 Prover 4: stopped % 34.38/5.19 Prover 2: Proving ... % 34.38/5.19 Prover 2: stopped % 35.77/5.36 Prover 10: stopped % 36.44/5.40 Prover 7: stopped % 36.44/5.42 Prover 11: stopped % 37.28/5.69 Prover 8: Warning: ignoring some quantifiers % 37.69/5.76 Prover 8: Constructing countermodel ... % 37.69/5.77 Prover 8: stopped % 37.69/5.77 % 37.69/5.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 37.69/5.78 % 37.69/5.80 % SZS output start Proof for theBenchmark % 38.21/5.82 Assumptions after simplification: % 38.21/5.82 --------------------------------- % 38.21/5.82 % 38.21/5.83 (reduceExpPreservation-binop-IH0) % 38.21/5.87 vExp(ve1) & ! [v0: vAnsMap] : ! [v1: vAType] : ! [v2: vExp] : ! [v3: % 38.21/5.87 vATMap] : ! [v4: vOptAType] : ! [v5: vOptAType] : (v5 = v4 | ~ % 38.21/5.87 (vecheck(v3, v2) = v5) | ~ (vtypeAM(v0) = v3) | ~ (vsomeAType(v1) = v4) | % 38.21/5.87 ~ vAType(v1) | ~ vExp(v2) | ~ vAnsMap(v0) | ? [v6: vOptAType] : ? [v7: % 38.21/5.87 vOptExp] : ? [v8: vOptExp] : (vecheck(v3, ve1) = v6 & vreduceExp(ve1, v0) % 38.21/5.87 = v7 & vsomeExp(v2) = v8 & vOptExp(v8) & vOptExp(v7) & vOptAType(v6) & ( ~ % 38.21/5.87 (v8 = v7) | ~ (v6 = v4)))) % 38.21/5.87 % 38.21/5.87 (reduceExpPreservation-binop-IH1) % 38.21/5.87 vExp(ve2) & ! [v0: vAnsMap] : ! [v1: vAType] : ! [v2: vExp] : ! [v3: % 38.21/5.87 vATMap] : ! [v4: vOptAType] : ! [v5: vOptAType] : (v5 = v4 | ~ % 38.21/5.87 (vecheck(v3, v2) = v5) | ~ (vtypeAM(v0) = v3) | ~ (vsomeAType(v1) = v4) | % 38.21/5.87 ~ vAType(v1) | ~ vExp(v2) | ~ vAnsMap(v0) | ? [v6: vOptAType] : ? [v7: % 38.21/5.87 vOptExp] : ? [v8: vOptExp] : (vecheck(v3, ve2) = v6 & vreduceExp(ve2, v0) % 38.21/5.87 = v7 & vsomeExp(v2) = v8 & vOptExp(v8) & vOptExp(v7) & vOptAType(v6) & ( ~ % 38.21/5.87 (v8 = v7) | ~ (v6 = v4)))) % 38.21/5.87 % 38.21/5.87 (reduceExpPreservation-binop-expIsValue-True-expIsValue-False) % 38.21/5.88 vExp(ve2) & vExp(ve1) & ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & % 38.21/5.88 vexpIsValue(ve1) = v1 & ? [v2: vAnsMap] : ? [v3: vBinOpT] : ? [v4: % 38.21/5.88 vAType] : ? [v5: vExp] : ? [v6: vATMap] : ? [v7: vExp] : ? [v8: % 38.21/5.88 vOptAType] : ? [v9: vOptExp] : ? [v10: vOptAType] : (v1 = 0 & ~ (v10 = % 38.21/5.88 v8) & ~ (v0 = 0) & vecheck(v6, v7) = v8 & vecheck(v6, v5) = v10 & % 38.21/5.88 vtypeAM(v2) = v6 & vreduceExp(v7, v2) = v9 & vsomeExp(v5) = v9 & % 38.21/5.88 vsomeAType(v4) = v8 & vbinop(ve1, v3, ve2) = v7 & vAType(v4) & vBinOpT(v3) % 38.21/5.88 & vOptExp(v9) & vExp(v7) & vExp(v5) & vAnsMap(v2) & vATMap(v6) & % 38.21/5.88 vOptAType(v10) & vOptAType(v8))) % 38.21/5.88 % 38.21/5.88 (reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-False) % 38.21/5.88 vExp(ve2) & vExp(ve1) & ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & % 38.21/5.88 vexpIsValue(ve1) = v1 & ! [v2: vAnsMap] : ! [v3: vBinOpT] : ! [v4: % 38.21/5.88 vAType] : ! [v5: vExp] : ! [v6: vATMap] : ! [v7: vExp] : ! [v8: % 38.21/5.88 vOptAType] : ! [v9: vOptAType] : ( ~ (v1 = 0) | v9 = v8 | v0 = 0 | ~ % 38.21/5.88 (vecheck(v6, v7) = v8) | ~ (vecheck(v6, v5) = v9) | ~ (vtypeAM(v2) = v6) % 38.21/5.88 | ~ (vsomeAType(v4) = v8) | ~ (vbinop(ve1, v3, ve2) = v7) | ~ % 38.21/5.88 vAType(v4) | ~ vBinOpT(v3) | ~ vExp(v5) | ~ vAnsMap(v2) | ? [v10: % 38.21/5.88 vOptExp] : ? [v11: any] : ? [v12: vOptExp] : ? [v13: vOptExp] : % 38.21/5.88 (vreduceExp(v7, v2) = v12 & vreduceExp(ve2, v2) = v10 & visSomeExp(v10) = % 38.21/5.88 v11 & vsomeExp(v5) = v13 & vOptExp(v13) & vOptExp(v12) & vOptExp(v10) & % 38.21/5.88 ( ~ (v13 = v12) | v11 = 0)))) % 38.21/5.88 % 38.21/5.88 (reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True) % 38.21/5.88 vExp(ve2) & vExp(ve1) & ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & % 38.21/5.88 vexpIsValue(ve1) = v1 & ! [v2: vAnsMap] : ! [v3: vBinOpT] : ! [v4: % 38.21/5.88 vAType] : ! [v5: vExp] : ! [v6: vATMap] : ! [v7: vExp] : ! [v8: % 38.21/5.88 vOptAType] : ! [v9: vOptAType] : ( ~ (v1 = 0) | v9 = v8 | v0 = 0 | ~ % 38.21/5.88 (vecheck(v6, v7) = v8) | ~ (vecheck(v6, v5) = v9) | ~ (vtypeAM(v2) = v6) % 38.21/5.88 | ~ (vsomeAType(v4) = v8) | ~ (vbinop(ve1, v3, ve2) = v7) | ~ % 38.21/5.88 vAType(v4) | ~ vBinOpT(v3) | ~ vExp(v5) | ~ vAnsMap(v2) | ? [v10: % 38.21/5.88 vOptExp] : ? [v11: any] : ? [v12: vOptExp] : ? [v13: vOptExp] : % 38.21/5.88 (vreduceExp(v7, v2) = v12 & vreduceExp(ve2, v2) = v10 & visSomeExp(v10) = % 38.21/5.88 v11 & vsomeExp(v5) = v13 & vOptExp(v13) & vOptExp(v12) & vOptExp(v10) & % 38.21/5.88 ( ~ (v13 = v12) | ~ (v11 = 0))))) % 38.21/5.88 % 38.21/5.88 (function-axioms) % 38.68/5.90 ! [v0: vQMap] : ! [v1: vQMap] : ! [v2: vQMap] : ! [v3: vAType] : ! [v4: % 38.68/5.90 vLabel] : ! [v5: vQID] : (v1 = v0 | ~ (vqmbind(v5, v4, v3, v2) = v1) | ~ % 38.68/5.90 (vqmbind(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.68/5.90 MultipleValueBool] : ! [v2: vMapConf] : ! [v3: vQuestionnaire] : ! [v4: % 38.68/5.90 vMapConf] : (v1 = v0 | ~ (vptcheck(v4, v3, v2) = v1) | ~ (vptcheck(v4, v3, % 38.68/5.90 v2) = v0)) & ! [v0: vOptAType] : ! [v1: vOptAType] : ! [v2: vAType] : % 38.68/5.90 ! [v3: vAType] : ! [v4: vBinOpT] : (v1 = v0 | ~ (vcheckBinOp(v4, v3, v2) = % 38.68/5.90 v1) | ~ (vcheckBinOp(v4, v3, v2) = v0)) & ! [v0: vOptQConf] : ! [v1: % 38.68/5.90 vOptQConf] : ! [v2: vQMap] : ! [v3: vAnsMap] : ! [v4: vQuestionnaire] : % 38.68/5.90 (v1 = v0 | ~ (vreduce(v4, v3, v2) = v1) | ~ (vreduce(v4, v3, v2) = v0)) & ! % 38.68/5.90 [v0: vOptExp] : ! [v1: vOptExp] : ! [v2: vAval] : ! [v3: vAval] : ! [v4: % 38.68/5.90 vBinOpT] : (v1 = v0 | ~ (vevalBinOp(v4, v3, v2) = v1) | ~ (vevalBinOp(v4, % 38.68/5.90 v3, v2) = v0)) & ! [v0: vQConf] : ! [v1: vQConf] : ! [v2: % 38.68/5.90 vQuestionnaire] : ! [v3: vQMap] : ! [v4: vAnsMap] : (v1 = v0 | ~ (vQC(v4, % 38.68/5.90 v3, v2) = v1) | ~ (vQC(v4, v3, v2) = v0)) & ! [v0: vATMap] : ! [v1: % 38.68/5.90 vATMap] : ! [v2: vATMap] : ! [v3: vAType] : ! [v4: vQID] : (v1 = v0 | ~ % 38.68/5.90 (vatmbind(v4, v3, v2) = v1) | ~ (vatmbind(v4, v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptQuestion] : ! [v1: vOptQuestion] : ! [v2: vAType] : ! [v3: vLabel] : % 38.68/5.90 ! [v4: vQID] : (v1 = v0 | ~ (vsomeQuestion(v4, v3, v2) = v1) | ~ % 38.68/5.90 (vsomeQuestion(v4, v3, v2) = v0)) & ! [v0: vAnsMap] : ! [v1: vAnsMap] : ! % 38.68/5.90 [v2: vAnsMap] : ! [v3: vAval] : ! [v4: vQID] : (v1 = v0 | ~ (vabind(v4, v3, % 38.68/5.90 v2) = v1) | ~ (vabind(v4, v3, v2) = v0)) & ! [v0: vQuestionnaire] : ! % 38.68/5.90 [v1: vQuestionnaire] : ! [v2: vQuestionnaire] : ! [v3: vQuestionnaire] : ! % 38.68/5.90 [v4: vExp] : (v1 = v0 | ~ (vqcond(v4, v3, v2) = v1) | ~ (vqcond(v4, v3, v2) % 38.68/5.90 = v0)) & ! [v0: vExp] : ! [v1: vExp] : ! [v2: vExp] : ! [v3: vBinOpT] % 38.68/5.90 : ! [v4: vExp] : (v1 = v0 | ~ (vbinop(v4, v3, v2) = v1) | ~ (vbinop(v4, v3, % 38.68/5.90 v2) = v0)) & ! [v0: vEntry] : ! [v1: vEntry] : ! [v2: vAType] : ! % 38.68/5.90 [v3: vLabel] : ! [v4: vQID] : (v1 = v0 | ~ (vdefquestion(v4, v3, v2) = v1) | % 38.68/5.90 ~ (vdefquestion(v4, v3, v2) = v0)) & ! [v0: vEntry] : ! [v1: vEntry] : ! % 38.68/5.90 [v2: vExp] : ! [v3: vAType] : ! [v4: vQID] : (v1 = v0 | ~ (vvalue(v4, v3, % 38.68/5.90 v2) = v1) | ~ (vvalue(v4, v3, v2) = v0)) & ! [v0: vEntry] : ! [v1: % 38.68/5.90 vEntry] : ! [v2: vAType] : ! [v3: vLabel] : ! [v4: vQID] : (v1 = v0 | ~ % 38.68/5.90 (vquestion(v4, v3, v2) = v1) | ~ (vquestion(v4, v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptAType] : ! [v1: vOptAType] : ! [v2: vExp] : ! [v3: vATMap] : (v1 = v0 % 38.68/5.90 | ~ (vecheck(v3, v2) = v1) | ~ (vecheck(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptAType] : ! [v1: vOptAType] : ! [v2: vAType] : ! [v3: vUnOpT] : (v1 = % 38.68/5.90 v0 | ~ (vcheckUnOp(v3, v2) = v1) | ~ (vcheckUnOp(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vATMap] : ! [v1: vATMap] : ! [v2: vATMap] : ! [v3: vATMap] : (v1 = v0 | % 38.68/5.90 ~ (vintersectATM(v3, v2) = v1) | ~ (vintersectATM(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vATMap] : ! [v1: vATMap] : ! [v2: vATMap] : ! [v3: vATMap] : (v1 = v0 | % 38.68/5.90 ~ (vappendATMap(v3, v2) = v1) | ~ (vappendATMap(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptAType] : ! [v1: vOptAType] : ! [v2: vATMap] : ! [v3: vQID] : (v1 = v0 % 38.68/5.90 | ~ (vlookupATMap(v3, v2) = v1) | ~ (vlookupATMap(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptExp] : ! [v1: vOptExp] : ! [v2: vAnsMap] : ! [v3: vExp] : (v1 = v0 | % 38.68/5.90 ~ (vreduceExp(v3, v2) = v1) | ~ (vreduceExp(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptExp] : ! [v1: vOptExp] : ! [v2: vAval] : ! [v3: vUnOpT] : (v1 = v0 | % 38.68/5.90 ~ (vevalUnOp(v3, v2) = v1) | ~ (vevalUnOp(v3, v2) = v0)) & ! [v0: vAval] : % 38.68/5.90 ! [v1: vAval] : ! [v2: vAType] : ! [v3: vLabel] : (v1 = v0 | ~ % 38.68/5.90 (vgetAnswer(v3, v2) = v1) | ~ (vgetAnswer(v3, v2) = v0)) & ! [v0: vQConf] % 38.68/5.90 : ! [v1: vQConf] : ! [v2: vQuestionnaire] : ! [v3: vQConf] : (v1 = v0 | ~ % 38.68/5.90 (vqcappend(v3, v2) = v1) | ~ (vqcappend(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vOptQuestion] : ! [v1: vOptQuestion] : ! [v2: vQMap] : ! [v3: vQID] : (v1 % 38.68/5.90 = v0 | ~ (vlookupQMap(v3, v2) = v1) | ~ (vlookupQMap(v3, v2) = v0)) & ! % 38.68/5.90 [v0: vAnsMap] : ! [v1: vAnsMap] : ! [v2: vAnsMap] : ! [v3: vAnsMap] : (v1 = % 38.68/5.90 v0 | ~ (vappendAnsMap(v3, v2) = v1) | ~ (vappendAnsMap(v3, v2) = v0)) & ! % 38.68/5.90 [v0: vOptAval] : ! [v1: vOptAval] : ! [v2: vAnsMap] : ! [v3: vQID] : (v1 = % 38.68/5.90 v0 | ~ (vlookupAnsMap(v3, v2) = v1) | ~ (vlookupAnsMap(v3, v2) = v0)) & ! % 38.68/5.90 [v0: vATList] : ! [v1: vATList] : ! [v2: vATList] : ! [v3: vATList] : (v1 = % 38.68/5.90 v0 | ~ (vappend(v3, v2) = v1) | ~ (vappend(v3, v2) = v0)) & ! [v0: vnat] % 38.68/5.90 : ! [v1: vnat] : ! [v2: vnat] : ! [v3: vnat] : (v1 = v0 | ~ (vdivide(v3, % 38.68/5.90 v2) = v1) | ~ (vdivide(v3, v2) = v0)) & ! [v0: vnat] : ! [v1: vnat] : % 38.68/5.90 ! [v2: vnat] : ! [v3: vnat] : (v1 = v0 | ~ (vmultiply(v3, v2) = v1) | ~ % 38.68/5.90 (vmultiply(v3, v2) = v0)) & ! [v0: vnat] : ! [v1: vnat] : ! [v2: vnat] : % 38.68/5.90 ! [v3: vnat] : (v1 = v0 | ~ (vminus(v3, v2) = v1) | ~ (vminus(v3, v2) = v0)) % 38.68/5.90 & ! [v0: vnat] : ! [v1: vnat] : ! [v2: vnat] : ! [v3: vnat] : (v1 = v0 | % 38.68/5.90 ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) & ! [v0: vYN] : ! [v1: % 38.68/5.90 vYN] : ! [v2: vnat] : ! [v3: vnat] : (v1 = v0 | ~ (vlt(v3, v2) = v1) | ~ % 38.68/5.90 (vlt(v3, v2) = v0)) & ! [v0: vYN] : ! [v1: vYN] : ! [v2: vnat] : ! [v3: % 38.68/5.90 vnat] : (v1 = v0 | ~ (vgt(v3, v2) = v1) | ~ (vgt(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vYN] : ! [v1: vYN] : ! [v2: vYN] : ! [v3: vYN] : (v1 = v0 | ~ (vor(v3, % 38.68/5.90 v2) = v1) | ~ (vor(v3, v2) = v0)) & ! [v0: vYN] : ! [v1: vYN] : ! % 38.68/5.90 [v2: vYN] : ! [v3: vYN] : (v1 = v0 | ~ (vand(v3, v2) = v1) | ~ (vand(v3, % 38.68/5.90 v2) = v0)) & ! [v0: vstring] : ! [v1: vstring] : ! [v2: vstring] : ! % 38.68/5.90 [v3: vchar] : (v1 = v0 | ~ (vscons(v3, v2) = v1) | ~ (vscons(v3, v2) = v0)) % 38.68/5.90 & ! [v0: vATList] : ! [v1: vATList] : ! [v2: vATList] : ! [v3: vAType] : % 38.68/5.90 (v1 = v0 | ~ (vatcons(v3, v2) = v1) | ~ (vatcons(v3, v2) = v0)) & ! [v0: % 38.68/5.90 vQuestionnaire] : ! [v1: vQuestionnaire] : ! [v2: vQuestionnaire] : ! % 38.68/5.90 [v3: vGID] : (v1 = v0 | ~ (vqgroup(v3, v2) = v1) | ~ (vqgroup(v3, v2) = v0)) % 38.68/5.90 & ! [v0: vQuestionnaire] : ! [v1: vQuestionnaire] : ! [v2: vQuestionnaire] % 38.68/5.90 : ! [v3: vQuestionnaire] : (v1 = v0 | ~ (vqseq(v3, v2) = v1) | ~ (vqseq(v3, % 38.68/5.90 v2) = v0)) & ! [v0: vExp] : ! [v1: vExp] : ! [v2: vExp] : ! [v3: % 38.68/5.90 vUnOpT] : (v1 = v0 | ~ (vunop(v3, v2) = v1) | ~ (vunop(v3, v2) = v0)) & ! % 38.68/5.90 [v0: vMapConf] : ! [v1: vMapConf] : ! [v2: vATMap] : ! [v3: vATMap] : (v1 = % 38.68/5.90 v0 | ~ (vMC(v3, v2) = v1) | ~ (vMC(v3, v2) = v0)) & ! [v0: vATMap] : ! % 38.68/5.90 [v1: vATMap] : ! [v2: vQMap] : (v1 = v0 | ~ (vtypeQM(v2) = v1) | ~ % 38.68/5.90 (vtypeQM(v2) = v0)) & ! [v0: vATMap] : ! [v1: vATMap] : ! [v2: vAnsMap] : % 38.68/5.90 (v1 = v0 | ~ (vtypeAM(v2) = v1) | ~ (vtypeAM(v2) = v0)) & ! [v0: % 38.68/5.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptMapConf] : (v1 % 38.68/5.90 = v0 | ~ (visSomeMapConf(v2) = v1) | ~ (visSomeMapConf(v2) = v0)) & ! % 38.68/5.90 [v0: vstring] : ! [v1: vstring] : ! [v2: vLabel] : (v1 = v0 | ~ % 38.68/5.90 (vaskText(v2) = v1) | ~ (vaskText(v2) = v0)) & ! [v0: vnat] : ! [v1: % 38.68/5.90 vnat] : ! [v2: vLabel] : (v1 = v0 | ~ (vaskNumber(v2) = v1) | ~ % 38.68/5.90 (vaskNumber(v2) = v0)) & ! [v0: vYN] : ! [v1: vYN] : ! [v2: vLabel] : (v1 % 38.68/5.90 = v0 | ~ (vaskYesNo(v2) = v1) | ~ (vaskYesNo(v2) = v0)) & ! [v0: % 38.68/5.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vExp] : (v1 = v0 | % 38.68/5.90 ~ (vexpIsValue(v2) = v1) | ~ (vexpIsValue(v2) = v0)) & ! [v0: % 38.68/5.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptExp] : (v1 = % 38.68/5.90 v0 | ~ (visSomeExp(v2) = v1) | ~ (visSomeExp(v2) = v0)) & ! [v0: % 38.68/5.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptQConf] : (v1 = % 38.68/5.90 v0 | ~ (visSomeQC(v2) = v1) | ~ (visSomeQC(v2) = v0)) & ! [v0: % 38.68/5.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vQuestionnaire] : % 38.68/5.90 (v1 = v0 | ~ (visValue(v2) = v1) | ~ (visValue(v2) = v0)) & ! [v0: % 38.68/5.90 vQuestionnaire] : ! [v1: vQuestionnaire] : ! [v2: vQConf] : (v1 = v0 | ~ % 38.68/5.90 (vgetQuest(v2) = v1) | ~ (vgetQuest(v2) = v0)) & ! [v0: vQMap] : ! [v1: % 38.68/5.90 vQMap] : ! [v2: vQConf] : (v1 = v0 | ~ (vgetQM(v2) = v1) | ~ (vgetQM(v2) % 38.68/5.90 = v0)) & ! [v0: vAnsMap] : ! [v1: vAnsMap] : ! [v2: vQConf] : (v1 = v0 % 38.68/5.91 | ~ (vgetAM(v2) = v1) | ~ (vgetAM(v2) = v0)) & ! [v0: MultipleValueBool] % 38.68/5.91 : ! [v1: MultipleValueBool] : ! [v2: vOptQuestion] : (v1 = v0 | ~ % 38.68/5.91 (visSomeQuestion(v2) = v1) | ~ (visSomeQuestion(v2) = v0)) & ! [v0: % 38.68/5.91 vAType] : ! [v1: vAType] : ! [v2: vAval] : (v1 = v0 | ~ (vtypeOf(v2) = % 38.68/5.91 v1) | ~ (vtypeOf(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.68/5.91 MultipleValueBool] : ! [v2: vOptAType] : (v1 = v0 | ~ (visSomeAType(v2) = % 38.68/5.91 v1) | ~ (visSomeAType(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.68/5.91 MultipleValueBool] : ! [v2: vOptAval] : (v1 = v0 | ~ (visSomeAval(v2) = % 38.68/5.91 v1) | ~ (visSomeAval(v2) = v0)) & ! [v0: vnat] : ! [v1: vnat] : ! [v2: % 38.68/5.91 vnat] : (v1 = v0 | ~ (vpred(v2) = v1) | ~ (vpred(v2) = v0)) & ! [v0: vYN] % 38.68/5.91 : ! [v1: vYN] : ! [v2: vYN] : (v1 = v0 | ~ (vnot(v2) = v1) | ~ (vnot(v2) = % 38.68/5.91 v0)) & ! [v0: vMapConf] : ! [v1: vMapConf] : ! [v2: vOptMapConf] : (v1 % 38.68/5.91 = v0 | ~ (vgetMapConf(v2) = v1) | ~ (vgetMapConf(v2) = v0)) & ! [v0: % 38.68/5.91 vAval] : ! [v1: vAval] : ! [v2: vExp] : (v1 = v0 | ~ (vgetExpValue(v2) = % 38.68/5.91 v1) | ~ (vgetExpValue(v2) = v0)) & ! [v0: vExp] : ! [v1: vExp] : ! % 38.68/5.91 [v2: vOptExp] : (v1 = v0 | ~ (vgetExp(v2) = v1) | ~ (vgetExp(v2) = v0)) & ! % 38.68/5.91 [v0: vQConf] : ! [v1: vQConf] : ! [v2: vOptQConf] : (v1 = v0 | ~ % 38.68/5.91 (vgetQC(v2) = v1) | ~ (vgetQC(v2) = v0)) & ! [v0: vAType] : ! [v1: % 38.68/5.91 vAType] : ! [v2: vOptQuestion] : (v1 = v0 | ~ (vgetQuestionAType(v2) = v1) % 38.68/5.91 | ~ (vgetQuestionAType(v2) = v0)) & ! [v0: vLabel] : ! [v1: vLabel] : ! % 38.68/5.91 [v2: vOptQuestion] : (v1 = v0 | ~ (vgetQuestionLabel(v2) = v1) | ~ % 38.68/5.91 (vgetQuestionLabel(v2) = v0)) & ! [v0: vQID] : ! [v1: vQID] : ! [v2: % 38.68/5.91 vOptQuestion] : (v1 = v0 | ~ (vgetQuestionQID(v2) = v1) | ~ % 38.68/5.91 (vgetQuestionQID(v2) = v0)) & ! [v0: vAType] : ! [v1: vAType] : ! [v2: % 38.68/5.91 vOptAType] : (v1 = v0 | ~ (vgetAType(v2) = v1) | ~ (vgetAType(v2) = v0)) & % 38.68/5.91 ! [v0: vAval] : ! [v1: vAval] : ! [v2: vOptAval] : (v1 = v0 | ~ % 38.68/5.91 (vgetAval(v2) = v1) | ~ (vgetAval(v2) = v0)) & ! [v0: vOptAval] : ! [v1: % 38.68/5.91 vOptAval] : ! [v2: vAval] : (v1 = v0 | ~ (vsomeAval(v2) = v1) | ~ % 38.68/5.91 (vsomeAval(v2) = v0)) & ! [v0: vQID] : ! [v1: vQID] : ! [v2: vQID] : (v1 % 38.68/5.91 = v0 | ~ (venumQID(v2) = v1) | ~ (venumQID(v2) = v0)) & ! [v0: % 38.68/5.91 vOptMapConf] : ! [v1: vOptMapConf] : ! [v2: vMapConf] : (v1 = v0 | ~ % 38.68/5.91 (vsomeMapConf(v2) = v1) | ~ (vsomeMapConf(v2) = v0)) & ! [v0: vGID] : ! % 38.68/5.91 [v1: vGID] : ! [v2: vGID] : (v1 = v0 | ~ (venumGID(v2) = v1) | ~ % 38.68/5.91 (venumGID(v2) = v0)) & ! [v0: vOptExp] : ! [v1: vOptExp] : ! [v2: vExp] : % 38.68/5.91 (v1 = v0 | ~ (vsomeExp(v2) = v1) | ~ (vsomeExp(v2) = v0)) & ! [v0: vAval] : % 38.68/5.91 ! [v1: vAval] : ! [v2: vstring] : (v1 = v0 | ~ (vT(v2) = v1) | ~ (vT(v2) = % 38.68/5.91 v0)) & ! [v0: vAval] : ! [v1: vAval] : ! [v2: vnat] : (v1 = v0 | ~ % 38.68/5.91 (vNum(v2) = v1) | ~ (vNum(v2) = v0)) & ! [v0: vAval] : ! [v1: vAval] : ! % 38.68/5.91 [v2: vYN] : (v1 = v0 | ~ (vB(v2) = v1) | ~ (vB(v2) = v0)) & ! [v0: % 38.68/5.91 vOptAType] : ! [v1: vOptAType] : ! [v2: vAType] : (v1 = v0 | ~ % 38.68/5.91 (vsomeAType(v2) = v1) | ~ (vsomeAType(v2) = v0)) & ! [v0: vOptQConf] : ! % 38.68/5.91 [v1: vOptQConf] : ! [v2: vQConf] : (v1 = v0 | ~ (vsomeQConf(v2) = v1) | ~ % 38.68/5.91 (vsomeQConf(v2) = v0)) & ! [v0: vchar] : ! [v1: vchar] : ! [v2: vchar] : % 38.68/5.91 (v1 = v0 | ~ (venumchar(v2) = v1) | ~ (venumchar(v2) = v0)) & ! [v0: % 38.68/5.91 vQuestionnaire] : ! [v1: vQuestionnaire] : ! [v2: vEntry] : (v1 = v0 | ~ % 38.68/5.91 (vqsingle(v2) = v1) | ~ (vqsingle(v2) = v0)) & ! [v0: vnat] : ! [v1: % 38.68/5.91 vnat] : ! [v2: vnat] : (v1 = v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = % 38.68/5.91 v0)) & ! [v0: vExp] : ! [v1: vExp] : ! [v2: vQID] : (v1 = v0 | ~ % 38.68/5.91 (vqvar(v2) = v1) | ~ (vqvar(v2) = v0)) & ! [v0: vExp] : ! [v1: vExp] : ! % 38.68/5.91 [v2: vAval] : (v1 = v0 | ~ (vconstant(v2) = v1) | ~ (vconstant(v2) = v0)) & % 38.68/5.91 ! [v0: vLabel] : ! [v1: vLabel] : ! [v2: vLabel] : (v1 = v0 | ~ % 38.68/5.91 (venumLabel(v2) = v1) | ~ (venumLabel(v2) = v0)) & ! [v0: vEntry] : ! % 38.68/5.91 [v1: vEntry] : ! [v2: vQID] : (v1 = v0 | ~ (vask(v2) = v1) | ~ (vask(v2) = % 38.68/5.91 v0)) % 38.68/5.91 % 38.68/5.91 Further assumptions not needed in the proof: % 38.68/5.91 -------------------------------------------- % 38.68/5.91 DIFF-B-Num, DIFF-B-T, DIFF-Num-T, DIFF-Number-Text, DIFF-YesNo-Number, % 38.68/5.91 DIFF-YesNo-Text, DIFF-addop-andop, DIFF-addop-divop, DIFF-addop-eqop, % 38.68/5.91 DIFF-addop-gtop, DIFF-addop-ltop, DIFF-addop-mulop, DIFF-addop-orop, % 38.68/5.91 DIFF-addop-subop, DIFF-aempty-abind, DIFF-andop-orop, DIFF-atempty-atcons, % 38.68/5.91 DIFF-atmempty-atmbind, DIFF-binop-unop, DIFF-constant-binop, DIFF-constant-qvar, % 38.68/5.91 DIFF-constant-unop, DIFF-defquestion-ask, DIFF-divop-andop, DIFF-divop-eqop, % 38.68/5.91 DIFF-divop-gtop, DIFF-divop-ltop, DIFF-divop-orop, DIFF-eqop-andop, % 38.68/5.91 DIFF-eqop-gtop, DIFF-eqop-ltop, DIFF-eqop-orop, DIFF-gtop-andop, DIFF-gtop-ltop, % 38.68/5.91 DIFF-gtop-orop, DIFF-initGID-enumGID, DIFF-initLabel-enumLabel, % 38.68/5.91 DIFF-initQID-enumQID, DIFF-initchar-enumchar, DIFF-ltop-andop, DIFF-ltop-orop, % 38.68/5.91 DIFF-mulop-andop, DIFF-mulop-divop, DIFF-mulop-eqop, DIFF-mulop-gtop, % 38.68/5.91 DIFF-mulop-ltop, DIFF-mulop-orop, DIFF-noAType-someAType, DIFF-noAval-someAval, % 38.68/5.91 DIFF-noExp-someExp, DIFF-noMapConf-someMapConf, DIFF-noQConf-someQConf, % 38.68/5.91 DIFF-noQuestion-someQuestion, DIFF-qcond-qgroup, DIFF-qempty-qcond, % 38.68/5.91 DIFF-qempty-qgroup, DIFF-qempty-qseq, DIFF-qempty-qsingle, DIFF-qmempty-qmbind, % 38.68/5.91 DIFF-qseq-qcond, DIFF-qseq-qgroup, DIFF-qsingle-qcond, DIFF-qsingle-qgroup, % 38.68/5.91 DIFF-qsingle-qseq, DIFF-question-ask, DIFF-question-defquestion, % 38.68/5.91 DIFF-question-value, DIFF-qvar-binop, DIFF-qvar-unop, DIFF-sempty-scons, % 38.68/5.91 DIFF-subop-andop, DIFF-subop-divop, DIFF-subop-eqop, DIFF-subop-gtop, % 38.68/5.91 DIFF-subop-ltop, DIFF-subop-mulop, DIFF-subop-orop, DIFF-value-ask, % 38.68/5.91 DIFF-value-defquestion, DIFF-yes-no, DIFF-zero-succ, EQ-B, EQ-MC, EQ-Num, EQ-QC, % 38.68/5.91 EQ-T, EQ-abind, EQ-ask, EQ-atcons, EQ-atmbind, EQ-binop, EQ-constant, % 38.68/5.91 EQ-defquestion, EQ-enumGID, EQ-enumLabel, EQ-enumQID, EQ-enumchar, EQ-qcond, % 38.68/5.91 EQ-qgroup, EQ-qmbind, EQ-qseq, EQ-qsingle, EQ-question, EQ-qvar, EQ-scons, % 38.68/5.91 EQ-someAType, EQ-someAval, EQ-someExp, EQ-someMapConf, EQ-someQConf, % 38.68/5.91 EQ-someQuestion, EQ-succ, EQ-unop, EQ-value, Task, Task_inv1, Task_inv2, % 38.68/5.91 Task_inv3, Task_inv4, Tdefquestion, Tdefquestion_inv1, Tdefquestion_inv2, % 38.68/5.91 Tdefquestion_inv3, Tqcond, Tqcond_inv1, Tqcond_inv2, Tqcond_inv3, Tqcond_inv4, % 38.68/5.91 Tqcond_inv5, Tqcond_inv6, Tqcond_inv7, Tqempty, Tqempty_inv1, Tqempty_inv2, % 38.68/5.91 Tqgroup, Tqgroup_inv, Tqseq, Tqseq_inv1, Tqseq_inv2, Tqseq_inv3, Tqseq_inv4, % 38.68/5.91 Tquestion, Tquestion_inv1, Tquestion_inv2, Tquestion_inv3, Tvalue, Tvalue_inv1, % 38.68/5.91 Tvalue_inv2, Tvalue_inv3, Tvalue_inv4, and-0, and-1, and-INV, append-0, % 38.68/5.91 append-1, append-INV, appendATMap-0, appendATMap-1, appendATMap-INV, % 38.68/5.91 appendAnsMap-0, appendAnsMap-1, appendAnsMap-INV, checkBinOp-0, checkBinOp-1, % 38.68/5.91 checkBinOp-2, checkBinOp-3, checkBinOp-4, checkBinOp-5, checkBinOp-6, % 38.68/5.91 checkBinOp-7, checkBinOp-8, checkBinOp-9, checkBinOp-INV, checkUnOp-0, % 38.68/5.91 checkUnOp-1, checkUnOp-INV, divide-0, divide-1, divide-INV, dom-ATList, % 38.68/5.91 dom-ATMap, dom-AType, dom-AnsMap, dom-Aval, dom-BinOpT, dom-Entry, dom-Exp, % 38.68/5.91 dom-MapConf, dom-OptAType, dom-OptAval, dom-OptExp, dom-OptMapConf, % 38.68/5.91 dom-OptQConf, dom-OptQuestion, dom-QConf, dom-QMap, dom-Questionnaire, % 38.68/5.91 dom-UnOpT, dom-YN, dom-nat, dom-string, echeck-0, echeck-1, echeck-2, echeck-3, % 38.68/5.91 echeck-4, echeck-5, echeck-6, echeck-7, echeck-INV, evalBinOp-0, evalBinOp-1, % 38.68/5.91 evalBinOp-10, evalBinOp-2, evalBinOp-3, evalBinOp-4, evalBinOp-5, evalBinOp-6, % 38.68/5.91 evalBinOp-7, evalBinOp-8, evalBinOp-9, evalBinOp-INV, evalUnOp-0, evalUnOp-1, % 38.68/5.91 evalUnOp-INV, expIsValue-0, expIsValue-1, expIsValue-false-INV, % 38.68/5.91 expIsValue-true-INV, getAM-0, getAM-INV, getAType-0, getAnswer-0, getAnswer-1, % 38.68/5.91 getAnswer-2, getAnswer-INV, getAval-0, getExp-0, getExpValue-0, getMapConf-0, % 38.68/5.91 getQC-0, getQM-0, getQM-INV, getQuest-0, getQuest-INV, getQuestionAType-0, % 38.68/5.91 getQuestionLabel-0, getQuestionQID-0, gt-0, gt-1, gt-2, gt-INV, intersectATM-0, % 38.68/5.91 intersectATM-1, intersectATM-2, intersectATM-INV, isSomeAType-0, isSomeAType-1, % 38.68/5.91 isSomeAType-false-INV, isSomeAType-true-INV, isSomeAval-0, isSomeAval-1, % 38.68/5.91 isSomeAval-false-INV, isSomeAval-true-INV, isSomeExp-0, isSomeExp-1, % 38.68/5.91 isSomeExp-false-INV, isSomeExp-true-INV, isSomeMapConf-0, isSomeMapConf-1, % 38.68/5.91 isSomeMapConf-false-INV, isSomeMapConf-true-INV, isSomeQC-0, isSomeQC-1, % 38.68/5.91 isSomeQC-false-INV, isSomeQC-true-INV, isSomeQuestion-0, isSomeQuestion-1, % 38.68/5.91 isSomeQuestion-false-INV, isSomeQuestion-true-INV, isValue-0, isValue-1, % 38.68/5.91 isValue-false-INV, isValue-true-INV, lookupATMap-0, lookupATMap-1, % 38.68/5.91 lookupATMap-2, lookupATMap-INV, lookupAnsMap-0, lookupAnsMap-1, lookupAnsMap-2, % 38.68/5.91 lookupAnsMap-INV, lookupQMap-0, lookupQMap-1, lookupQMap-2, lookupQMap-INV, % 38.68/5.91 lt-0, lt-1, lt-2, lt-INV, minus-0, minus-1, minus-INV, multiply-0, multiply-1, % 38.68/5.91 multiply-INV, not-0, not-1, not-INV, or-0, or-1, or-INV, plus-0, plus-1, % 38.68/5.91 plus-INV, pred-0, pred-1, pred-INV, qcappend-0, qcappend-INV, reduce-0, % 38.68/5.91 reduce-1, reduce-10, reduce-11, reduce-12, reduce-13, reduce-14, reduce-15, % 38.68/5.91 reduce-2, reduce-3, reduce-4, reduce-5, reduce-6, reduce-7, reduce-8, reduce-9, % 38.68/5.91 reduce-INV, reduceExp-0, reduceExp-1, reduceExp-10, reduceExp-2, reduceExp-3, % 38.68/5.91 reduceExp-4, reduceExp-5, reduceExp-6, reduceExp-7, reduceExp-8, reduceExp-9, % 38.68/5.91 reduceExp-INV, typeAM-0, typeAM-1, typeAM-INV, typeOf-0, typeOf-1, typeOf-2, % 38.68/5.91 typeOf-INV, typeQM-0, typeQM-1, typeQM-INV % 38.68/5.91 % 38.68/5.91 Those formulas are unsatisfiable: % 38.68/5.91 --------------------------------- % 38.68/5.91 % 38.68/5.91 Begin of proof % 38.68/5.91 | % 38.68/5.91 | ALPHA: (reduceExpPreservation-binop-IH0) implies: % 38.68/5.91 | (1) ! [v0: vAnsMap] : ! [v1: vAType] : ! [v2: vExp] : ! [v3: vATMap] : % 38.68/5.91 | ! [v4: vOptAType] : ! [v5: vOptAType] : (v5 = v4 | ~ (vecheck(v3, v2) % 38.68/5.91 | = v5) | ~ (vtypeAM(v0) = v3) | ~ (vsomeAType(v1) = v4) | ~ % 38.68/5.91 | vAType(v1) | ~ vExp(v2) | ~ vAnsMap(v0) | ? [v6: vOptAType] : ? % 38.68/5.91 | [v7: vOptExp] : ? [v8: vOptExp] : (vecheck(v3, ve1) = v6 & % 38.68/5.91 | vreduceExp(ve1, v0) = v7 & vsomeExp(v2) = v8 & vOptExp(v8) & % 38.68/5.91 | vOptExp(v7) & vOptAType(v6) & ( ~ (v8 = v7) | ~ (v6 = v4)))) % 38.68/5.91 | % 38.68/5.91 | ALPHA: (reduceExpPreservation-binop-IH1) implies: % 38.68/5.91 | (2) ! [v0: vAnsMap] : ! [v1: vAType] : ! [v2: vExp] : ! [v3: vATMap] : % 38.68/5.91 | ! [v4: vOptAType] : ! [v5: vOptAType] : (v5 = v4 | ~ (vecheck(v3, v2) % 38.68/5.91 | = v5) | ~ (vtypeAM(v0) = v3) | ~ (vsomeAType(v1) = v4) | ~ % 38.68/5.91 | vAType(v1) | ~ vExp(v2) | ~ vAnsMap(v0) | ? [v6: vOptAType] : ? % 38.68/5.91 | [v7: vOptExp] : ? [v8: vOptExp] : (vecheck(v3, ve2) = v6 & % 38.68/5.91 | vreduceExp(ve2, v0) = v7 & vsomeExp(v2) = v8 & vOptExp(v8) & % 38.68/5.91 | vOptExp(v7) & vOptAType(v6) & ( ~ (v8 = v7) | ~ (v6 = v4)))) % 38.68/5.91 | % 38.68/5.91 | ALPHA: (reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True) % 38.68/5.91 | implies: % 38.68/5.91 | (3) ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & vexpIsValue(ve1) % 38.68/5.91 | = v1 & ! [v2: vAnsMap] : ! [v3: vBinOpT] : ! [v4: vAType] : ! % 38.68/5.91 | [v5: vExp] : ! [v6: vATMap] : ! [v7: vExp] : ! [v8: vOptAType] : % 38.68/5.91 | ! [v9: vOptAType] : ( ~ (v1 = 0) | v9 = v8 | v0 = 0 | ~ (vecheck(v6, % 38.68/5.91 | v7) = v8) | ~ (vecheck(v6, v5) = v9) | ~ (vtypeAM(v2) = v6) | % 38.68/5.91 | ~ (vsomeAType(v4) = v8) | ~ (vbinop(ve1, v3, ve2) = v7) | ~ % 38.68/5.91 | vAType(v4) | ~ vBinOpT(v3) | ~ vExp(v5) | ~ vAnsMap(v2) | ? % 38.68/5.91 | [v10: vOptExp] : ? [v11: any] : ? [v12: vOptExp] : ? [v13: % 38.68/5.91 | vOptExp] : (vreduceExp(v7, v2) = v12 & vreduceExp(ve2, v2) = v10 % 38.68/5.91 | & visSomeExp(v10) = v11 & vsomeExp(v5) = v13 & vOptExp(v13) & % 38.68/5.91 | vOptExp(v12) & vOptExp(v10) & ( ~ (v13 = v12) | ~ (v11 = 0))))) % 38.68/5.92 | % 38.68/5.92 | ALPHA: (reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-False) % 38.68/5.92 | implies: % 38.68/5.92 | (4) ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & vexpIsValue(ve1) % 38.68/5.92 | = v1 & ! [v2: vAnsMap] : ! [v3: vBinOpT] : ! [v4: vAType] : ! % 38.68/5.92 | [v5: vExp] : ! [v6: vATMap] : ! [v7: vExp] : ! [v8: vOptAType] : % 38.68/5.92 | ! [v9: vOptAType] : ( ~ (v1 = 0) | v9 = v8 | v0 = 0 | ~ (vecheck(v6, % 38.68/5.92 | v7) = v8) | ~ (vecheck(v6, v5) = v9) | ~ (vtypeAM(v2) = v6) | % 38.68/5.92 | ~ (vsomeAType(v4) = v8) | ~ (vbinop(ve1, v3, ve2) = v7) | ~ % 38.68/5.92 | vAType(v4) | ~ vBinOpT(v3) | ~ vExp(v5) | ~ vAnsMap(v2) | ? % 38.68/5.92 | [v10: vOptExp] : ? [v11: any] : ? [v12: vOptExp] : ? [v13: % 38.68/5.92 | vOptExp] : (vreduceExp(v7, v2) = v12 & vreduceExp(ve2, v2) = v10 % 38.68/5.92 | & visSomeExp(v10) = v11 & vsomeExp(v5) = v13 & vOptExp(v13) & % 38.68/5.92 | vOptExp(v12) & vOptExp(v10) & ( ~ (v13 = v12) | v11 = 0)))) % 38.68/5.92 | % 38.68/5.92 | ALPHA: (reduceExpPreservation-binop-expIsValue-True-expIsValue-False) implies: % 38.68/5.92 | (5) ? [v0: any] : ? [v1: any] : (vexpIsValue(ve2) = v0 & vexpIsValue(ve1) % 38.68/5.92 | = v1 & ? [v2: vAnsMap] : ? [v3: vBinOpT] : ? [v4: vAType] : ? % 38.68/5.92 | [v5: vExp] : ? [v6: vATMap] : ? [v7: vExp] : ? [v8: vOptAType] : % 38.68/5.92 | ? [v9: vOptExp] : ? [v10: vOptAType] : (v1 = 0 & ~ (v10 = v8) & ~ % 38.68/5.92 | (v0 = 0) & vecheck(v6, v7) = v8 & vecheck(v6, v5) = v10 & % 38.68/5.92 | vtypeAM(v2) = v6 & vreduceExp(v7, v2) = v9 & vsomeExp(v5) = v9 & % 38.68/5.92 | vsomeAType(v4) = v8 & vbinop(ve1, v3, ve2) = v7 & vAType(v4) & % 38.68/5.92 | vBinOpT(v3) & vOptExp(v9) & vExp(v7) & vExp(v5) & vAnsMap(v2) & % 38.68/5.92 | vATMap(v6) & vOptAType(v10) & vOptAType(v8))) % 38.68/5.92 | % 38.68/5.92 | ALPHA: (function-axioms) implies: % 38.68/5.92 | (6) ! [v0: vOptExp] : ! [v1: vOptExp] : ! [v2: vExp] : (v1 = v0 | ~ % 38.68/5.92 | (vsomeExp(v2) = v1) | ~ (vsomeExp(v2) = v0)) % 38.68/5.92 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.68/5.92 | vOptExp] : (v1 = v0 | ~ (visSomeExp(v2) = v1) | ~ (visSomeExp(v2) = % 38.68/5.92 | v0)) % 38.68/5.92 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vExp] % 38.68/5.92 | : (v1 = v0 | ~ (vexpIsValue(v2) = v1) | ~ (vexpIsValue(v2) = v0)) % 38.68/5.92 | (9) ! [v0: vOptExp] : ! [v1: vOptExp] : ! [v2: vAnsMap] : ! [v3: vExp] % 38.68/5.92 | : (v1 = v0 | ~ (vreduceExp(v3, v2) = v1) | ~ (vreduceExp(v3, v2) = % 38.68/5.92 | v0)) % 38.68/5.92 | % 38.68/5.92 | DELTA: instantiating (5) with fresh symbols all_403_0, all_403_1 gives: % 38.68/5.92 | (10) vexpIsValue(ve2) = all_403_1 & vexpIsValue(ve1) = all_403_0 & ? [v0: % 38.68/5.92 | vAnsMap] : ? [v1: vBinOpT] : ? [v2: vAType] : ? [v3: vExp] : ? % 38.68/5.92 | [v4: vATMap] : ? [v5: vExp] : ? [v6: vOptAType] : ? [v7: vOptExp] : % 38.68/5.92 | ? [v8: vOptAType] : (all_403_0 = 0 & ~ (v8 = v6) & ~ (all_403_1 = % 38.68/5.92 | 0) & vecheck(v4, v5) = v6 & vecheck(v4, v3) = v8 & vtypeAM(v0) = % 38.68/5.92 | v4 & vreduceExp(v5, v0) = v7 & vsomeExp(v3) = v7 & vsomeAType(v2) = % 38.68/5.92 | v6 & vbinop(ve1, v1, ve2) = v5 & vAType(v2) & vBinOpT(v1) & % 38.68/5.92 | vOptExp(v7) & vExp(v5) & vExp(v3) & vAnsMap(v0) & vATMap(v4) & % 38.68/5.92 | vOptAType(v8) & vOptAType(v6)) % 38.68/5.92 | % 38.68/5.92 | ALPHA: (10) implies: % 38.68/5.92 | (11) vexpIsValue(ve1) = all_403_0 % 38.68/5.92 | (12) vexpIsValue(ve2) = all_403_1 % 38.68/5.92 | (13) ? [v0: vAnsMap] : ? [v1: vBinOpT] : ? [v2: vAType] : ? [v3: vExp] % 38.68/5.92 | : ? [v4: vATMap] : ? [v5: vExp] : ? [v6: vOptAType] : ? [v7: % 38.68/5.92 | vOptExp] : ? [v8: vOptAType] : (all_403_0 = 0 & ~ (v8 = v6) & ~ % 38.68/5.92 | (all_403_1 = 0) & vecheck(v4, v5) = v6 & vecheck(v4, v3) = v8 & % 38.68/5.92 | vtypeAM(v0) = v4 & vreduceExp(v5, v0) = v7 & vsomeExp(v3) = v7 & % 38.68/5.92 | vsomeAType(v2) = v6 & vbinop(ve1, v1, ve2) = v5 & vAType(v2) & % 38.68/5.92 | vBinOpT(v1) & vOptExp(v7) & vExp(v5) & vExp(v3) & vAnsMap(v0) & % 38.68/5.92 | vATMap(v4) & vOptAType(v8) & vOptAType(v6)) % 38.68/5.92 | % 38.68/5.92 | DELTA: instantiating (4) with fresh symbols all_405_0, all_405_1 gives: % 38.68/5.93 | (14) vexpIsValue(ve2) = all_405_1 & vexpIsValue(ve1) = all_405_0 & ! [v0: % 38.68/5.93 | vAnsMap] : ! [v1: vBinOpT] : ! [v2: vAType] : ! [v3: vExp] : ! % 38.68/5.93 | [v4: vATMap] : ! [v5: vExp] : ! [v6: vOptAType] : ! [v7: vOptAType] % 38.68/5.93 | : ( ~ (all_405_0 = 0) | v7 = v6 | all_405_1 = 0 | ~ (vecheck(v4, v5) % 38.68/5.93 | = v6) | ~ (vecheck(v4, v3) = v7) | ~ (vtypeAM(v0) = v4) | ~ % 38.68/5.93 | (vsomeAType(v2) = v6) | ~ (vbinop(ve1, v1, ve2) = v5) | ~ % 38.68/5.93 | vAType(v2) | ~ vBinOpT(v1) | ~ vExp(v3) | ~ vAnsMap(v0) | ? [v8: % 38.68/5.93 | vOptExp] : ? [v9: any] : ? [v10: vOptExp] : ? [v11: vOptExp] : % 38.68/5.93 | (vreduceExp(v5, v0) = v10 & vreduceExp(ve2, v0) = v8 & % 38.68/5.93 | visSomeExp(v8) = v9 & vsomeExp(v3) = v11 & vOptExp(v11) & % 38.68/5.93 | vOptExp(v10) & vOptExp(v8) & ( ~ (v11 = v10) | v9 = 0))) % 38.68/5.93 | % 38.68/5.93 | ALPHA: (14) implies: % 38.68/5.93 | (15) vexpIsValue(ve1) = all_405_0 % 38.68/5.93 | (16) vexpIsValue(ve2) = all_405_1 % 38.68/5.93 | (17) ! [v0: vAnsMap] : ! [v1: vBinOpT] : ! [v2: vAType] : ! [v3: vExp] % 38.68/5.93 | : ! [v4: vATMap] : ! [v5: vExp] : ! [v6: vOptAType] : ! [v7: % 38.68/5.93 | vOptAType] : ( ~ (all_405_0 = 0) | v7 = v6 | all_405_1 = 0 | ~ % 38.68/5.93 | (vecheck(v4, v5) = v6) | ~ (vecheck(v4, v3) = v7) | ~ (vtypeAM(v0) % 38.68/5.93 | = v4) | ~ (vsomeAType(v2) = v6) | ~ (vbinop(ve1, v1, ve2) = v5) % 38.68/5.93 | | ~ vAType(v2) | ~ vBinOpT(v1) | ~ vExp(v3) | ~ vAnsMap(v0) | ? % 38.68/5.93 | [v8: vOptExp] : ? [v9: any] : ? [v10: vOptExp] : ? [v11: vOptExp] % 38.68/5.93 | : (vreduceExp(v5, v0) = v10 & vreduceExp(ve2, v0) = v8 & % 38.68/5.93 | visSomeExp(v8) = v9 & vsomeExp(v3) = v11 & vOptExp(v11) & % 38.68/5.93 | vOptExp(v10) & vOptExp(v8) & ( ~ (v11 = v10) | v9 = 0))) % 38.68/5.93 | % 38.68/5.93 | DELTA: instantiating (3) with fresh symbols all_408_0, all_408_1 gives: % 38.68/5.93 | (18) vexpIsValue(ve2) = all_408_1 & vexpIsValue(ve1) = all_408_0 & ! [v0: % 38.68/5.93 | vAnsMap] : ! [v1: vBinOpT] : ! [v2: vAType] : ! [v3: vExp] : ! % 38.68/5.93 | [v4: vATMap] : ! [v5: vExp] : ! [v6: vOptAType] : ! [v7: vOptAType] % 38.68/5.93 | : ( ~ (all_408_0 = 0) | v7 = v6 | all_408_1 = 0 | ~ (vecheck(v4, v5) % 38.68/5.93 | = v6) | ~ (vecheck(v4, v3) = v7) | ~ (vtypeAM(v0) = v4) | ~ % 38.68/5.93 | (vsomeAType(v2) = v6) | ~ (vbinop(ve1, v1, ve2) = v5) | ~ % 38.68/5.93 | vAType(v2) | ~ vBinOpT(v1) | ~ vExp(v3) | ~ vAnsMap(v0) | ? [v8: % 38.68/5.93 | vOptExp] : ? [v9: any] : ? [v10: vOptExp] : ? [v11: vOptExp] : % 38.68/5.93 | (vreduceExp(v5, v0) = v10 & vreduceExp(ve2, v0) = v8 & % 38.68/5.93 | visSomeExp(v8) = v9 & vsomeExp(v3) = v11 & vOptExp(v11) & % 38.68/5.93 | vOptExp(v10) & vOptExp(v8) & ( ~ (v11 = v10) | ~ (v9 = 0)))) % 38.68/5.93 | % 38.68/5.93 | ALPHA: (18) implies: % 38.68/5.93 | (19) vexpIsValue(ve1) = all_408_0 % 38.68/5.93 | (20) vexpIsValue(ve2) = all_408_1 % 38.68/5.93 | (21) ! [v0: vAnsMap] : ! [v1: vBinOpT] : ! [v2: vAType] : ! [v3: vExp] % 38.68/5.93 | : ! [v4: vATMap] : ! [v5: vExp] : ! [v6: vOptAType] : ! [v7: % 38.68/5.93 | vOptAType] : ( ~ (all_408_0 = 0) | v7 = v6 | all_408_1 = 0 | ~ % 38.68/5.93 | (vecheck(v4, v5) = v6) | ~ (vecheck(v4, v3) = v7) | ~ (vtypeAM(v0) % 38.68/5.93 | = v4) | ~ (vsomeAType(v2) = v6) | ~ (vbinop(ve1, v1, ve2) = v5) % 38.68/5.93 | | ~ vAType(v2) | ~ vBinOpT(v1) | ~ vExp(v3) | ~ vAnsMap(v0) | ? % 38.68/5.93 | [v8: vOptExp] : ? [v9: any] : ? [v10: vOptExp] : ? [v11: vOptExp] % 38.68/5.93 | : (vreduceExp(v5, v0) = v10 & vreduceExp(ve2, v0) = v8 & % 38.68/5.93 | visSomeExp(v8) = v9 & vsomeExp(v3) = v11 & vOptExp(v11) & % 38.68/5.93 | vOptExp(v10) & vOptExp(v8) & ( ~ (v11 = v10) | ~ (v9 = 0)))) % 38.68/5.93 | % 38.68/5.93 | DELTA: instantiating (13) with fresh symbols all_426_0, all_426_1, all_426_2, % 38.68/5.93 | all_426_3, all_426_4, all_426_5, all_426_6, all_426_7, all_426_8 gives: % 38.68/5.93 | (22) all_403_0 = 0 & ~ (all_426_0 = all_426_2) & ~ (all_403_1 = 0) & % 38.68/5.93 | vecheck(all_426_4, all_426_3) = all_426_2 & vecheck(all_426_4, % 38.68/5.93 | all_426_5) = all_426_0 & vtypeAM(all_426_8) = all_426_4 & % 38.68/5.93 | vreduceExp(all_426_3, all_426_8) = all_426_1 & vsomeExp(all_426_5) = % 38.68/5.93 | all_426_1 & vsomeAType(all_426_6) = all_426_2 & vbinop(ve1, all_426_7, % 38.68/5.93 | ve2) = all_426_3 & vAType(all_426_6) & vBinOpT(all_426_7) & % 38.68/5.93 | vOptExp(all_426_1) & vExp(all_426_3) & vExp(all_426_5) & % 38.68/5.93 | vAnsMap(all_426_8) & vATMap(all_426_4) & vOptAType(all_426_0) & % 38.68/5.93 | vOptAType(all_426_2) % 38.68/5.93 | % 38.68/5.93 | ALPHA: (22) implies: % 38.68/5.93 | (23) all_403_0 = 0 % 38.68/5.93 | (24) ~ (all_403_1 = 0) % 38.68/5.93 | (25) ~ (all_426_0 = all_426_2) % 38.68/5.93 | (26) vAnsMap(all_426_8) % 38.68/5.93 | (27) vExp(all_426_5) % 38.68/5.93 | (28) vBinOpT(all_426_7) % 38.68/5.93 | (29) vAType(all_426_6) % 38.68/5.93 | (30) vbinop(ve1, all_426_7, ve2) = all_426_3 % 38.68/5.93 | (31) vsomeAType(all_426_6) = all_426_2 % 38.68/5.93 | (32) vsomeExp(all_426_5) = all_426_1 % 38.68/5.93 | (33) vreduceExp(all_426_3, all_426_8) = all_426_1 % 38.68/5.93 | (34) vtypeAM(all_426_8) = all_426_4 % 38.68/5.93 | (35) vecheck(all_426_4, all_426_5) = all_426_0 % 38.68/5.93 | (36) vecheck(all_426_4, all_426_3) = all_426_2 % 38.68/5.93 | % 38.68/5.94 | REDUCE: (11), (23) imply: % 38.68/5.94 | (37) vexpIsValue(ve1) = 0 % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (8) with all_405_0, all_408_0, ve1, simplifying % 38.68/5.94 | with (15), (19) gives: % 38.68/5.94 | (38) all_408_0 = all_405_0 % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (8) with 0, all_408_0, ve1, simplifying with (19), % 38.68/5.94 | (37) gives: % 38.68/5.94 | (39) all_408_0 = 0 % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (8) with all_405_1, all_408_1, ve2, simplifying % 38.68/5.94 | with (16), (20) gives: % 38.68/5.94 | (40) all_408_1 = all_405_1 % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (8) with all_403_1, all_408_1, ve2, simplifying % 38.68/5.94 | with (12), (20) gives: % 38.68/5.94 | (41) all_408_1 = all_403_1 % 38.68/5.94 | % 38.68/5.94 | COMBINE_EQS: (38), (39) imply: % 38.68/5.94 | (42) all_405_0 = 0 % 38.68/5.94 | % 38.68/5.94 | COMBINE_EQS: (40), (41) imply: % 38.68/5.94 | (43) all_405_1 = all_403_1 % 38.68/5.94 | % 38.68/5.94 | SIMP: (43) implies: % 38.68/5.94 | (44) all_405_1 = all_403_1 % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (2) with all_426_8, all_426_6, all_426_5, % 38.68/5.94 | all_426_4, all_426_2, all_426_0, simplifying with (26), (27), % 38.68/5.94 | (29), (31), (34), (35) gives: % 38.68/5.94 | (45) all_426_0 = all_426_2 | ? [v0: vOptAType] : ? [v1: vOptExp] : ? % 38.68/5.94 | [v2: vOptExp] : (vecheck(all_426_4, ve2) = v0 & vreduceExp(ve2, % 38.68/5.94 | all_426_8) = v1 & vsomeExp(all_426_5) = v2 & vOptExp(v2) & % 38.68/5.94 | vOptExp(v1) & vOptAType(v0) & ( ~ (v2 = v1) | ~ (v0 = all_426_2))) % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (1) with all_426_8, all_426_6, all_426_5, % 38.68/5.94 | all_426_4, all_426_2, all_426_0, simplifying with (26), (27), % 38.68/5.94 | (29), (31), (34), (35) gives: % 38.68/5.94 | (46) all_426_0 = all_426_2 | ? [v0: vOptAType] : ? [v1: vOptExp] : ? % 38.68/5.94 | [v2: vOptExp] : (vecheck(all_426_4, ve1) = v0 & vreduceExp(ve1, % 38.68/5.94 | all_426_8) = v1 & vsomeExp(all_426_5) = v2 & vOptExp(v2) & % 38.68/5.94 | vOptExp(v1) & vOptAType(v0) & ( ~ (v2 = v1) | ~ (v0 = all_426_2))) % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (21) with all_426_8, all_426_7, all_426_6, % 38.68/5.94 | all_426_5, all_426_4, all_426_3, all_426_2, all_426_0, % 38.68/5.94 | simplifying with (26), (27), (28), (29), (30), (31), (34), (35), % 38.68/5.94 | (36) gives: % 38.68/5.94 | (47) ~ (all_408_0 = 0) | all_426_0 = all_426_2 | all_408_1 = 0 | ? [v0: % 38.68/5.94 | vOptExp] : ? [v1: any] : ? [v2: vOptExp] : ? [v3: vOptExp] : % 38.68/5.94 | (vreduceExp(all_426_3, all_426_8) = v2 & vreduceExp(ve2, all_426_8) = % 38.68/5.94 | v0 & visSomeExp(v0) = v1 & vsomeExp(all_426_5) = v3 & vOptExp(v3) & % 38.68/5.94 | vOptExp(v2) & vOptExp(v0) & ( ~ (v3 = v2) | ~ (v1 = 0))) % 38.68/5.94 | % 38.68/5.94 | GROUND_INST: instantiating (17) with all_426_8, all_426_7, all_426_6, % 38.68/5.94 | all_426_5, all_426_4, all_426_3, all_426_2, all_426_0, % 38.68/5.94 | simplifying with (26), (27), (28), (29), (30), (31), (34), (35), % 38.68/5.94 | (36) gives: % 38.68/5.94 | (48) ~ (all_405_0 = 0) | all_426_0 = all_426_2 | all_405_1 = 0 | ? [v0: % 38.68/5.94 | vOptExp] : ? [v1: any] : ? [v2: vOptExp] : ? [v3: vOptExp] : % 38.68/5.94 | (vreduceExp(all_426_3, all_426_8) = v2 & vreduceExp(ve2, all_426_8) = % 38.68/5.94 | v0 & visSomeExp(v0) = v1 & vsomeExp(all_426_5) = v3 & vOptExp(v3) & % 38.68/5.94 | vOptExp(v2) & vOptExp(v0) & ( ~ (v3 = v2) | v1 = 0)) % 38.68/5.94 | % 38.68/5.94 | BETA: splitting (45) gives: % 38.68/5.94 | % 38.68/5.94 | Case 1: % 38.68/5.94 | | % 38.68/5.94 | | (49) all_426_0 = all_426_2 % 38.68/5.94 | | % 38.68/5.94 | | REDUCE: (25), (49) imply: % 38.68/5.94 | | (50) $false % 38.68/5.95 | | % 38.68/5.95 | | CLOSE: (50) is inconsistent. % 38.68/5.95 | | % 38.68/5.95 | Case 2: % 38.68/5.95 | | % 38.68/5.95 | | (51) ? [v0: vOptAType] : ? [v1: vOptExp] : ? [v2: vOptExp] : % 38.68/5.95 | | (vecheck(all_426_4, ve2) = v0 & vreduceExp(ve2, all_426_8) = v1 & % 38.68/5.95 | | vsomeExp(all_426_5) = v2 & vOptExp(v2) & vOptExp(v1) & % 38.68/5.95 | | vOptAType(v0) & ( ~ (v2 = v1) | ~ (v0 = all_426_2))) % 38.68/5.95 | | % 38.68/5.95 | | DELTA: instantiating (51) with fresh symbols all_462_0, all_462_1, all_462_2 % 38.68/5.95 | | gives: % 38.68/5.95 | | (52) vecheck(all_426_4, ve2) = all_462_2 & vreduceExp(ve2, all_426_8) = % 38.68/5.95 | | all_462_1 & vsomeExp(all_426_5) = all_462_0 & vOptExp(all_462_0) & % 38.68/5.95 | | vOptExp(all_462_1) & vOptAType(all_462_2) & ( ~ (all_462_0 = % 38.68/5.95 | | all_462_1) | ~ (all_462_2 = all_426_2)) % 38.68/5.95 | | % 38.68/5.95 | | ALPHA: (52) implies: % 38.68/5.95 | | (53) vsomeExp(all_426_5) = all_462_0 % 38.68/5.95 | | (54) vreduceExp(ve2, all_426_8) = all_462_1 % 38.68/5.95 | | % 38.68/5.95 | | BETA: splitting (46) gives: % 38.68/5.95 | | % 38.68/5.95 | | Case 1: % 38.68/5.95 | | | % 38.68/5.95 | | | (55) all_426_0 = all_426_2 % 38.68/5.95 | | | % 38.68/5.95 | | | REDUCE: (25), (55) imply: % 38.68/5.95 | | | (56) $false % 38.68/5.95 | | | % 38.68/5.95 | | | CLOSE: (56) is inconsistent. % 38.68/5.95 | | | % 38.68/5.95 | | Case 2: % 38.68/5.95 | | | % 38.68/5.95 | | | (57) ? [v0: vOptAType] : ? [v1: vOptExp] : ? [v2: vOptExp] : % 38.68/5.95 | | | (vecheck(all_426_4, ve1) = v0 & vreduceExp(ve1, all_426_8) = v1 & % 38.68/5.95 | | | vsomeExp(all_426_5) = v2 & vOptExp(v2) & vOptExp(v1) & % 38.68/5.95 | | | vOptAType(v0) & ( ~ (v2 = v1) | ~ (v0 = all_426_2))) % 38.68/5.95 | | | % 38.68/5.95 | | | DELTA: instantiating (57) with fresh symbols all_467_0, all_467_1, % 38.68/5.95 | | | all_467_2 gives: % 38.68/5.95 | | | (58) vecheck(all_426_4, ve1) = all_467_2 & vreduceExp(ve1, all_426_8) = % 38.68/5.95 | | | all_467_1 & vsomeExp(all_426_5) = all_467_0 & vOptExp(all_467_0) & % 38.68/5.95 | | | vOptExp(all_467_1) & vOptAType(all_467_2) & ( ~ (all_467_0 = % 38.68/5.95 | | | all_467_1) | ~ (all_467_2 = all_426_2)) % 38.68/5.95 | | | % 38.68/5.95 | | | ALPHA: (58) implies: % 38.68/5.95 | | | (59) vsomeExp(all_426_5) = all_467_0 % 38.68/5.95 | | | % 38.68/5.95 | | | BETA: splitting (48) gives: % 38.68/5.95 | | | % 38.68/5.95 | | | Case 1: % 38.68/5.95 | | | | % 38.68/5.95 | | | | (60) ~ (all_405_0 = 0) % 38.68/5.95 | | | | % 38.68/5.95 | | | | REDUCE: (42), (60) imply: % 38.68/5.95 | | | | (61) $false % 38.68/5.95 | | | | % 38.68/5.95 | | | | CLOSE: (61) is inconsistent. % 38.68/5.95 | | | | % 38.68/5.95 | | | Case 2: % 38.68/5.95 | | | | % 38.68/5.95 | | | | (62) all_426_0 = all_426_2 | all_405_1 = 0 | ? [v0: vOptExp] : ? % 38.68/5.95 | | | | [v1: any] : ? [v2: vOptExp] : ? [v3: vOptExp] : % 38.68/5.95 | | | | (vreduceExp(all_426_3, all_426_8) = v2 & vreduceExp(ve2, % 38.68/5.95 | | | | all_426_8) = v0 & visSomeExp(v0) = v1 & vsomeExp(all_426_5) % 38.68/5.95 | | | | = v3 & vOptExp(v3) & vOptExp(v2) & vOptExp(v0) & ( ~ (v3 = v2) % 38.68/5.95 | | | | | v1 = 0)) % 38.68/5.95 | | | | % 38.68/5.95 | | | | BETA: splitting (47) gives: % 38.68/5.95 | | | | % 38.68/5.95 | | | | Case 1: % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | (63) ~ (all_408_0 = 0) % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | REDUCE: (39), (63) imply: % 38.68/5.95 | | | | | (64) $false % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | CLOSE: (64) is inconsistent. % 38.68/5.95 | | | | | % 38.68/5.95 | | | | Case 2: % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | (65) all_426_0 = all_426_2 | all_408_1 = 0 | ? [v0: vOptExp] : ? % 38.68/5.95 | | | | | [v1: any] : ? [v2: vOptExp] : ? [v3: vOptExp] : % 38.68/5.95 | | | | | (vreduceExp(all_426_3, all_426_8) = v2 & vreduceExp(ve2, % 38.68/5.95 | | | | | all_426_8) = v0 & visSomeExp(v0) = v1 & % 38.68/5.95 | | | | | vsomeExp(all_426_5) = v3 & vOptExp(v3) & vOptExp(v2) & % 38.68/5.95 | | | | | vOptExp(v0) & ( ~ (v3 = v2) | ~ (v1 = 0))) % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | BETA: splitting (62) gives: % 38.68/5.95 | | | | | % 38.68/5.95 | | | | | Case 1: % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | (66) all_405_1 = 0 % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | COMBINE_EQS: (44), (66) imply: % 38.68/5.95 | | | | | | (67) all_403_1 = 0 % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | SIMP: (67) implies: % 38.68/5.95 | | | | | | (68) all_403_1 = 0 % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | REDUCE: (24), (68) imply: % 38.68/5.95 | | | | | | (69) $false % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | CLOSE: (69) is inconsistent. % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | Case 2: % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | (70) ~ (all_405_1 = 0) % 38.68/5.95 | | | | | | (71) all_426_0 = all_426_2 | ? [v0: vOptExp] : ? [v1: any] : ? % 38.68/5.95 | | | | | | [v2: vOptExp] : ? [v3: vOptExp] : (vreduceExp(all_426_3, % 38.68/5.95 | | | | | | all_426_8) = v2 & vreduceExp(ve2, all_426_8) = v0 & % 38.68/5.95 | | | | | | visSomeExp(v0) = v1 & vsomeExp(all_426_5) = v3 & % 38.68/5.95 | | | | | | vOptExp(v3) & vOptExp(v2) & vOptExp(v0) & ( ~ (v3 = v2) | % 38.68/5.95 | | | | | | v1 = 0)) % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | BETA: splitting (65) gives: % 38.68/5.95 | | | | | | % 38.68/5.95 | | | | | | Case 1: % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | (72) all_408_1 = 0 % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | COMBINE_EQS: (41), (72) imply: % 38.68/5.95 | | | | | | | (73) all_403_1 = 0 % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | SIMP: (73) implies: % 38.68/5.95 | | | | | | | (74) all_403_1 = 0 % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | REDUCE: (24), (74) imply: % 38.68/5.95 | | | | | | | (75) $false % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | CLOSE: (75) is inconsistent. % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | Case 2: % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | (76) all_426_0 = all_426_2 | ? [v0: vOptExp] : ? [v1: any] : % 38.68/5.95 | | | | | | | ? [v2: vOptExp] : ? [v3: vOptExp] : % 38.68/5.95 | | | | | | | (vreduceExp(all_426_3, all_426_8) = v2 & vreduceExp(ve2, % 38.68/5.95 | | | | | | | all_426_8) = v0 & visSomeExp(v0) = v1 & % 38.68/5.95 | | | | | | | vsomeExp(all_426_5) = v3 & vOptExp(v3) & vOptExp(v2) & % 38.68/5.95 | | | | | | | vOptExp(v0) & ( ~ (v3 = v2) | ~ (v1 = 0))) % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | BETA: splitting (71) gives: % 38.68/5.95 | | | | | | | % 38.68/5.95 | | | | | | | Case 1: % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | (77) all_426_0 = all_426_2 % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | REDUCE: (25), (77) imply: % 38.68/5.95 | | | | | | | | (78) $false % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | CLOSE: (78) is inconsistent. % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | Case 2: % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | (79) ? [v0: vOptExp] : ? [v1: any] : ? [v2: vOptExp] : ? % 38.68/5.95 | | | | | | | | [v3: vOptExp] : (vreduceExp(all_426_3, all_426_8) = v2 & % 38.68/5.95 | | | | | | | | vreduceExp(ve2, all_426_8) = v0 & visSomeExp(v0) = v1 % 38.68/5.95 | | | | | | | | & vsomeExp(all_426_5) = v3 & vOptExp(v3) & vOptExp(v2) % 38.68/5.95 | | | | | | | | & vOptExp(v0) & ( ~ (v3 = v2) | v1 = 0)) % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | DELTA: instantiating (79) with fresh symbols all_486_0, % 38.68/5.95 | | | | | | | | all_486_1, all_486_2, all_486_3 gives: % 38.68/5.95 | | | | | | | | (80) vreduceExp(all_426_3, all_426_8) = all_486_1 & % 38.68/5.95 | | | | | | | | vreduceExp(ve2, all_426_8) = all_486_3 & % 38.68/5.95 | | | | | | | | visSomeExp(all_486_3) = all_486_2 & vsomeExp(all_426_5) % 38.68/5.95 | | | | | | | | = all_486_0 & vOptExp(all_486_0) & vOptExp(all_486_1) & % 38.68/5.95 | | | | | | | | vOptExp(all_486_3) & ( ~ (all_486_0 = all_486_1) | % 38.68/5.95 | | | | | | | | all_486_2 = 0) % 38.68/5.95 | | | | | | | | % 38.68/5.95 | | | | | | | | ALPHA: (80) implies: % 38.68/5.96 | | | | | | | | (81) vsomeExp(all_426_5) = all_486_0 % 38.68/5.96 | | | | | | | | (82) visSomeExp(all_486_3) = all_486_2 % 38.68/5.96 | | | | | | | | (83) vreduceExp(ve2, all_426_8) = all_486_3 % 38.68/5.96 | | | | | | | | (84) vreduceExp(all_426_3, all_426_8) = all_486_1 % 38.68/5.96 | | | | | | | | (85) ~ (all_486_0 = all_486_1) | all_486_2 = 0 % 38.68/5.96 | | | | | | | | % 38.68/5.96 | | | | | | | | BETA: splitting (76) gives: % 38.68/5.96 | | | | | | | | % 38.68/5.96 | | | | | | | | Case 1: % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | (86) all_426_0 = all_426_2 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | REDUCE: (25), (86) imply: % 38.68/5.96 | | | | | | | | | (87) $false % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | CLOSE: (87) is inconsistent. % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | Case 2: % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | (88) ? [v0: vOptExp] : ? [v1: any] : ? [v2: vOptExp] : % 38.68/5.96 | | | | | | | | | ? [v3: vOptExp] : (vreduceExp(all_426_3, all_426_8) = % 38.68/5.96 | | | | | | | | | v2 & vreduceExp(ve2, all_426_8) = v0 & % 38.68/5.96 | | | | | | | | | visSomeExp(v0) = v1 & vsomeExp(all_426_5) = v3 & % 38.68/5.96 | | | | | | | | | vOptExp(v3) & vOptExp(v2) & vOptExp(v0) & ( ~ (v3 = % 38.68/5.96 | | | | | | | | | v2) | ~ (v1 = 0))) % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | DELTA: instantiating (88) with fresh symbols all_491_0, % 38.68/5.96 | | | | | | | | | all_491_1, all_491_2, all_491_3 gives: % 38.68/5.96 | | | | | | | | | (89) vreduceExp(all_426_3, all_426_8) = all_491_1 & % 38.68/5.96 | | | | | | | | | vreduceExp(ve2, all_426_8) = all_491_3 & % 38.68/5.96 | | | | | | | | | visSomeExp(all_491_3) = all_491_2 & % 38.68/5.96 | | | | | | | | | vsomeExp(all_426_5) = all_491_0 & vOptExp(all_491_0) & % 38.68/5.96 | | | | | | | | | vOptExp(all_491_1) & vOptExp(all_491_3) & ( ~ % 38.68/5.96 | | | | | | | | | (all_491_0 = all_491_1) | ~ (all_491_2 = 0)) % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | ALPHA: (89) implies: % 38.68/5.96 | | | | | | | | | (90) vsomeExp(all_426_5) = all_491_0 % 38.68/5.96 | | | | | | | | | (91) visSomeExp(all_491_3) = all_491_2 % 38.68/5.96 | | | | | | | | | (92) vreduceExp(ve2, all_426_8) = all_491_3 % 38.68/5.96 | | | | | | | | | (93) vreduceExp(all_426_3, all_426_8) = all_491_1 % 38.68/5.96 | | | | | | | | | (94) ~ (all_491_0 = all_491_1) | ~ (all_491_2 = 0) % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (6) with all_426_1, all_467_0, % 38.68/5.96 | | | | | | | | | all_426_5, simplifying with (32), (59) gives: % 38.68/5.96 | | | | | | | | | (95) all_467_0 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (6) with all_467_0, all_486_0, % 38.68/5.96 | | | | | | | | | all_426_5, simplifying with (59), (81) gives: % 38.68/5.96 | | | | | | | | | (96) all_486_0 = all_467_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (6) with all_486_0, all_491_0, % 38.68/5.96 | | | | | | | | | all_426_5, simplifying with (81), (90) gives: % 38.68/5.96 | | | | | | | | | (97) all_491_0 = all_486_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (6) with all_462_0, all_491_0, % 38.68/5.96 | | | | | | | | | all_426_5, simplifying with (53), (90) gives: % 38.68/5.96 | | | | | | | | | (98) all_491_0 = all_462_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (9) with all_486_3, all_491_3, % 38.68/5.96 | | | | | | | | | all_426_8, ve2, simplifying with (83), (92) gives: % 38.68/5.96 | | | | | | | | | (99) all_491_3 = all_486_3 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (9) with all_462_1, all_491_3, % 38.68/5.96 | | | | | | | | | all_426_8, ve2, simplifying with (54), (92) gives: % 38.68/5.96 | | | | | | | | | (100) all_491_3 = all_462_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (9) with all_426_1, all_491_1, % 38.68/5.96 | | | | | | | | | all_426_8, all_426_3, simplifying with (33), (93) % 38.68/5.96 | | | | | | | | | gives: % 38.68/5.96 | | | | | | | | | (101) all_491_1 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | GROUND_INST: instantiating (9) with all_486_1, all_491_1, % 38.68/5.96 | | | | | | | | | all_426_8, all_426_3, simplifying with (84), (93) % 38.68/5.96 | | | | | | | | | gives: % 38.68/5.96 | | | | | | | | | (102) all_491_1 = all_486_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (97), (98) imply: % 38.68/5.96 | | | | | | | | | (103) all_486_0 = all_462_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | SIMP: (103) implies: % 38.68/5.96 | | | | | | | | | (104) all_486_0 = all_462_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (101), (102) imply: % 38.68/5.96 | | | | | | | | | (105) all_486_1 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (99), (100) imply: % 38.68/5.96 | | | | | | | | | (106) all_486_3 = all_462_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | SIMP: (106) implies: % 38.68/5.96 | | | | | | | | | (107) all_486_3 = all_462_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (96), (104) imply: % 38.68/5.96 | | | | | | | | | (108) all_467_0 = all_462_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | SIMP: (108) implies: % 38.68/5.96 | | | | | | | | | (109) all_467_0 = all_462_0 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (95), (109) imply: % 38.68/5.96 | | | | | | | | | (110) all_462_0 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (104), (110) imply: % 38.68/5.96 | | | | | | | | | (111) all_486_0 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | COMBINE_EQS: (98), (110) imply: % 38.68/5.96 | | | | | | | | | (112) all_491_0 = all_426_1 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | REDUCE: (91), (100) imply: % 38.68/5.96 | | | | | | | | | (113) visSomeExp(all_462_1) = all_491_2 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | REDUCE: (82), (107) imply: % 38.68/5.96 | | | | | | | | | (114) visSomeExp(all_462_1) = all_486_2 % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | BETA: splitting (94) gives: % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | | Case 1: % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | (115) ~ (all_491_2 = 0) % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | BETA: splitting (85) gives: % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | Case 1: % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | (116) ~ (all_486_0 = all_486_1) % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | REDUCE: (105), (111), (116) imply: % 38.68/5.96 | | | | | | | | | | | (117) $false % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | CLOSE: (117) is inconsistent. % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | Case 2: % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | (118) all_486_2 = 0 % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | REDUCE: (114), (118) imply: % 38.68/5.96 | | | | | | | | | | | (119) visSomeExp(all_462_1) = 0 % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | GROUND_INST: instantiating (7) with 0, all_491_2, all_462_1, % 38.68/5.96 | | | | | | | | | | | simplifying with (113), (119) gives: % 38.68/5.96 | | | | | | | | | | | (120) all_491_2 = 0 % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | REDUCE: (115), (120) imply: % 38.68/5.96 | | | | | | | | | | | (121) $false % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | | CLOSE: (121) is inconsistent. % 38.68/5.96 | | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | End of split % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | Case 2: % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | (122) ~ (all_491_0 = all_491_1) % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | REDUCE: (101), (112), (122) imply: % 38.68/5.96 | | | | | | | | | | (123) $false % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | | CLOSE: (123) is inconsistent. % 38.68/5.96 | | | | | | | | | | % 38.68/5.96 | | | | | | | | | End of split % 38.68/5.96 | | | | | | | | | % 38.68/5.96 | | | | | | | | End of split % 38.68/5.96 | | | | | | | | % 38.68/5.96 | | | | | | | End of split % 38.68/5.96 | | | | | | | % 38.68/5.96 | | | | | | End of split % 38.68/5.96 | | | | | | % 38.68/5.96 | | | | | End of split % 38.68/5.96 | | | | | % 38.68/5.96 | | | | End of split % 38.68/5.96 | | | | % 38.68/5.96 | | | End of split % 38.68/5.96 | | | % 38.68/5.96 | | End of split % 38.68/5.96 | | % 38.68/5.96 | End of split % 38.68/5.96 | % 38.68/5.96 End of proof % 38.68/5.96 % SZS output end Proof for theBenchmark % 38.68/5.96 % 38.68/5.96 5389ms %------------------------------------------------------------------------------