%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : COM309_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 : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 06:21:44 PM UTC 2026 % Result : Theorem 24.44s 6.68s % Output : Proof 33.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.18 % Problem : COM309_1 : TPTP v9.3.0. Released v9.3.0. % 0.02/0.19 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.41 % Computer : n002.cluster.edu % 0.13/0.41 % Model : x86_64 x86_64 % 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.41 % Memory : 8042.1875MB % 0.13/0.41 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.41 % CPULimit : 300 % 0.13/0.41 % WCLimit : 300 % 0.13/0.41 % DateTime : Mon May 4 20:46:31 EDT 2026 % 0.13/0.41 % CPUTime : % 0.45/0.70 ________ _____ % 0.45/0.71 ___ __ \_________(_)________________________________ % 0.45/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.45/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.45/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.45/0.71 % 0.45/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.45/0.71 (2023-06-19) % 0.45/0.71 % 0.45/0.71 (c) Philipp Rümmer, 2009-2023 % 0.45/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.45/0.71 Amanda Stjerna. % 0.45/0.71 Free software under BSD-3-Clause. % 0.45/0.71 % 0.45/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.45/0.71 % 0.45/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.45/0.72 Running up to 7 provers in parallel. % 0.45/0.78 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.45/0.78 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.45/0.78 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.45/0.78 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.45/0.78 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.45/0.78 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.45/0.79 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.97/3.29 Prover 1: Preprocessing ... % 9.35/3.30 Prover 5: Preprocessing ... % 9.35/3.30 Prover 0: Preprocessing ... % 9.35/3.30 Prover 2: Preprocessing ... % 9.35/3.30 Prover 6: Preprocessing ... % 9.35/3.32 Prover 4: Preprocessing ... % 9.35/3.33 Prover 3: Preprocessing ... % 21.39/6.29 Prover 1: Warning: ignoring some quantifiers % 22.11/6.34 Prover 3: Warning: ignoring some quantifiers % 22.11/6.35 Prover 4: Warning: ignoring some quantifiers % 22.11/6.39 Prover 3: Constructing countermodel ... % 22.11/6.39 Prover 1: Constructing countermodel ... % 22.91/6.40 Prover 6: Proving ... % 22.91/6.41 Prover 4: Constructing countermodel ... % 22.91/6.47 Prover 5: Proving ... % 22.91/6.48 Prover 0: Proving ... % 24.44/6.68 Prover 3: proved (5902ms) % 24.44/6.68 % 24.44/6.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 24.44/6.68 % 24.44/6.68 Prover 6: stopped % 24.44/6.69 Prover 5: stopped % 24.44/6.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 24.44/6.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 24.44/6.69 Prover 0: stopped % 25.21/6.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 25.21/6.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 26.00/6.86 Prover 2: Proving ... % 26.00/6.87 Prover 2: stopped % 26.00/6.87 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 28.48/7.13 Prover 1: Found proof (size 11) % 28.48/7.13 Prover 1: proved (6384ms) % 28.48/7.13 Prover 4: stopped % 29.13/7.30 Prover 7: Preprocessing ... % 30.02/7.32 Prover 8: Preprocessing ... % 30.02/7.33 Prover 10: Preprocessing ... % 30.02/7.34 Prover 11: Preprocessing ... % 30.02/7.36 Prover 13: Preprocessing ... % 31.50/7.52 Prover 10: stopped % 31.50/7.52 Prover 7: stopped % 31.50/7.54 Prover 11: stopped % 32.12/7.61 Prover 13: stopped % 32.94/7.85 Prover 8: Warning: ignoring some quantifiers % 32.94/7.89 Prover 8: Constructing countermodel ... % 33.38/7.91 Prover 8: stopped % 33.38/7.91 % 33.38/7.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 33.38/7.91 % 33.38/7.91 % SZS output start Proof for theBenchmark % 33.38/7.94 Assumptions after simplification: % 33.38/7.94 --------------------------------- % 33.38/7.94 % 33.38/7.94 (rawUnion-0) % 33.38/7.98 vRawTable(vtempty) & ! [v0: vRawTable] : ! [v1: vRawTable] : (v1 = v0 | ~ % 33.38/7.98 (vrawUnion(vtempty, v0) = v1) | ~ vRawTable(v0)) % 33.38/7.98 % 33.38/7.98 (rawUnionPreservesWellTypedRaw-tempty) % 33.38/7.98 vRawTable(vtempty) & ? [v0: vTType] : ? [v1: vRawTable] : ? [v2: vRawTable] % 33.38/7.98 : ? [v3: int] : ( ~ (v3 = 0) & vrawUnion(vtempty, v1) = v2 & % 33.38/7.98 vwelltypedRawtable(v0, v2) = v3 & vwelltypedRawtable(v0, v1) = 0 & % 33.38/7.98 vwelltypedRawtable(v0, vtempty) = 0 & vTType(v0) & vRawTable(v2) & % 33.38/7.98 vRawTable(v1)) % 33.38/7.98 % 33.38/7.98 (function-axioms) % 33.97/8.03 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vTType] : ! % 33.97/8.03 [v3: vQuery] : ! [v4: vTTContext] : (v1 = v0 | ~ (vptcheck(v4, v3, v2) = v1) % 33.97/8.03 | ~ (vptcheck(v4, v3, v2) = v0)) & ! [v0: vRawTable] : ! [v1: vRawTable] % 33.97/8.03 : ! [v2: vPred] : ! [v3: vAttrL] : ! [v4: vRawTable] : (v1 = v0 | ~ % 33.97/8.03 (vfilterRows(v4, v3, v2) = v1) | ~ (vfilterRows(v4, v3, v2) = v0)) & ! % 33.97/8.03 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vRow] : ! [v3: % 33.97/8.03 vAttrL] : ! [v4: vPred] : (v1 = v0 | ~ (vfilterSingleRow(v4, v3, v2) = v1) % 33.97/8.03 | ~ (vfilterSingleRow(v4, v3, v2) = v0)) & ! [v0: vOptVal] : ! [v1: % 33.97/8.03 vOptVal] : ! [v2: vRow] : ! [v3: vAttrL] : ! [v4: vExp] : (v1 = v0 | ~ % 33.97/8.03 (vevalExpRow(v4, v3, v2) = v1) | ~ (vevalExpRow(v4, v3, v2) = v0)) & ! % 33.97/8.03 [v0: vOptRawTable] : ! [v1: vOptRawTable] : ! [v2: vRawTable] : ! [v3: % 33.97/8.03 vAttrL] : ! [v4: vAttrL] : (v1 = v0 | ~ (vprojectCols(v4, v3, v2) = v1) | % 33.97/8.03 ~ (vprojectCols(v4, v3, v2) = v0)) & ! [v0: vOptRawTable] : ! [v1: % 33.97/8.03 vOptRawTable] : ! [v2: vRawTable] : ! [v3: vAttrL] : ! [v4: vName] : (v1 % 33.97/8.03 = v0 | ~ (vfindCol(v4, v3, v2) = v1) | ~ (vfindCol(v4, v3, v2) = v0)) & ! % 33.97/8.03 [v0: vTStore] : ! [v1: vTStore] : ! [v2: vTStore] : ! [v3: vTable] : ! % 33.97/8.03 [v4: vName] : (v1 = v0 | ~ (vbindStore(v4, v3, v2) = v1) | ~ (vbindStore(v4, % 33.97/8.03 v3, v2) = v0)) & ! [v0: vTTContext] : ! [v1: vTTContext] : ! [v2: % 33.97/8.03 vTTContext] : ! [v3: vTType] : ! [v4: vName] : (v1 = v0 | ~ % 33.97/8.03 (vbindContext(v4, v3, v2) = v1) | ~ (vbindContext(v4, v3, v2) = v0)) & ! % 33.97/8.03 [v0: vTType] : ! [v1: vTType] : ! [v2: vTType] : ! [v3: vFType] : ! [v4: % 33.97/8.03 vName] : (v1 = v0 | ~ (vttcons(v4, v3, v2) = v1) | ~ (vttcons(v4, v3, v2) % 33.97/8.03 = v0)) & ! [v0: vQuery] : ! [v1: vQuery] : ! [v2: vPred] : ! [v3: % 33.97/8.03 vName] : ! [v4: vSelect] : (v1 = v0 | ~ (vselectFromWhere(v4, v3, v2) = % 33.97/8.03 v1) | ~ (vselectFromWhere(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] % 33.97/8.03 : ! [v1: MultipleValueBool] : ! [v2: vTTContext] : ! [v3: vTStore] : (v1 = % 33.97/8.03 v0 | ~ (vstoreContextConsistent(v3, v2) = v1) | ~ % 33.97/8.03 (vstoreContextConsistent(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 33.97/8.03 [v1: MultipleValueBool] : ! [v2: vTType] : ! [v3: vPred] : (v1 = v0 | ~ % 33.97/8.03 (vtcheckPred(v3, v2) = v1) | ~ (vtcheckPred(v3, v2) = v0)) & ! [v0: % 33.97/8.03 vOptFType] : ! [v1: vOptFType] : ! [v2: vTType] : ! [v3: vExp] : (v1 = v0 % 33.97/8.03 | ~ (vtypeOfExp(v3, v2) = v1) | ~ (vtypeOfExp(v3, v2) = v0)) & ! [v0: % 33.97/8.03 vOptTType] : ! [v1: vOptTType] : ! [v2: vTType] : ! [v3: vSelect] : (v1 = % 33.97/8.03 v0 | ~ (vprojectType(v3, v2) = v1) | ~ (vprojectType(v3, v2) = v0)) & ! % 33.97/8.03 [v0: vOptTType] : ! [v1: vOptTType] : ! [v2: vTType] : ! [v3: vAttrL] : (v1 % 33.97/8.03 = v0 | ~ (vprojectTypeAttrL(v3, v2) = v1) | ~ (vprojectTypeAttrL(v3, v2) = % 33.97/8.03 v0)) & ! [v0: vOptFType] : ! [v1: vOptFType] : ! [v2: vTType] : ! [v3: % 33.97/8.03 vName] : (v1 = v0 | ~ (vfindColType(v3, v2) = v1) | ~ (vfindColType(v3, % 33.97/8.03 v2) = v0)) & ! [v0: vOptQuery] : ! [v1: vOptQuery] : ! [v2: vTStore] % 33.97/8.03 : ! [v3: vQuery] : (v1 = v0 | ~ (vreduce(v3, v2) = v1) | ~ (vreduce(v3, v2) % 33.97/8.03 = v0)) & ! [v0: vTable] : ! [v1: vTable] : ! [v2: vPred] : ! [v3: % 33.97/8.03 vTable] : (v1 = v0 | ~ (vfilterTable(v3, v2) = v1) | ~ (vfilterTable(v3, % 33.97/8.03 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 33.97/8.03 ! [v2: vVal] : ! [v3: vVal] : (v1 = v0 | ~ (vlessThan(v3, v2) = v1) | ~ % 33.97/8.03 (vlessThan(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.97/8.03 MultipleValueBool] : ! [v2: vVal] : ! [v3: vVal] : (v1 = v0 | ~ % 33.97/8.03 (vgreaterThan(v3, v2) = v1) | ~ (vgreaterThan(v3, v2) = v0)) & ! [v0: % 33.97/8.03 vOptTable] : ! [v1: vOptTable] : ! [v2: vTable] : ! [v3: vSelect] : (v1 = % 33.97/8.03 v0 | ~ (vprojectTable(v3, v2) = v1) | ~ (vprojectTable(v3, v2) = v0)) & ! % 33.97/8.03 [v0: vOptTType] : ! [v1: vOptTType] : ! [v2: vTTContext] : ! [v3: vName] : % 33.97/8.03 (v1 = v0 | ~ (vlookupContext(v3, v2) = v1) | ~ (vlookupContext(v3, v2) = % 33.97/8.03 v0)) & ! [v0: vOptTable] : ! [v1: vOptTable] : ! [v2: vTStore] : ! % 33.97/8.03 [v3: vName] : (v1 = v0 | ~ (vlookupStore(v3, v2) = v1) | ~ (vlookupStore(v3, % 33.97/8.03 v2) = v0)) & ! [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: % 33.97/8.03 vRawTable] : ! [v3: vRawTable] : (v1 = v0 | ~ (vrawDifference(v3, v2) = % 33.97/8.03 v1) | ~ (vrawDifference(v3, v2) = v0)) & ! [v0: vRawTable] : ! [v1: % 33.97/8.03 vRawTable] : ! [v2: vRawTable] : ! [v3: vRawTable] : (v1 = v0 | ~ % 33.97/8.03 (vrawIntersection(v3, v2) = v1) | ~ (vrawIntersection(v3, v2) = v0)) & ! % 33.97/8.03 [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: vRawTable] : ! [v3: vRawTable] % 33.97/8.03 : (v1 = v0 | ~ (vrawUnion(v3, v2) = v1) | ~ (vrawUnion(v3, v2) = v0)) & ! % 33.97/8.03 [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: vRawTable] : ! [v3: vRawTable] % 33.97/8.03 : (v1 = v0 | ~ (vattachColToFrontRaw(v3, v2) = v1) | ~ % 33.97/8.03 (vattachColToFrontRaw(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.97/8.03 MultipleValueBool] : ! [v2: vRawTable] : ! [v3: vRawTable] : (v1 = v0 | ~ % 33.97/8.03 (vsameLength(v3, v2) = v1) | ~ (vsameLength(v3, v2) = v0)) & ! [v0: % 33.97/8.03 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vRawTable] : ! % 33.97/8.03 [v3: vRow] : (v1 = v0 | ~ (vrowIn(v3, v2) = v1) | ~ (vrowIn(v3, v2) = v0)) & % 33.97/8.04 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vTable] : ! % 33.97/8.04 [v3: vTType] : (v1 = v0 | ~ (vwelltypedtable(v3, v2) = v1) | ~ % 33.97/8.04 (vwelltypedtable(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.97/8.04 MultipleValueBool] : ! [v2: vRawTable] : ! [v3: vTType] : (v1 = v0 | ~ % 33.97/8.04 (vwelltypedRawtable(v3, v2) = v1) | ~ (vwelltypedRawtable(v3, v2) = v0)) & % 33.97/8.04 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vRow] : ! % 33.97/8.04 [v3: vTType] : (v1 = v0 | ~ (vwelltypedRow(v3, v2) = v1) | ~ % 33.97/8.04 (vwelltypedRow(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 33.97/8.04 MultipleValueBool] : ! [v2: vAttrL] : ! [v3: vTType] : (v1 = v0 | ~ % 33.97/8.04 (vmatchingAttrL(v3, v2) = v1) | ~ (vmatchingAttrL(v3, v2) = v0)) & ! [v0: % 33.97/8.04 vAttrL] : ! [v1: vAttrL] : ! [v2: vAttrL] : ! [v3: vAttrL] : (v1 = v0 | % 33.97/8.04 ~ (vappend(v3, v2) = v1) | ~ (vappend(v3, v2) = v0)) & ! [v0: vAttrL] : ! % 33.97/8.04 [v1: vAttrL] : ! [v2: vAttrL] : ! [v3: vName] : (v1 = v0 | ~ (vacons(v3, % 33.97/8.04 v2) = v1) | ~ (vacons(v3, v2) = v0)) & ! [v0: vPred] : ! [v1: vPred] % 33.97/8.04 : ! [v2: vExp] : ! [v3: vExp] : (v1 = v0 | ~ (vlt(v3, v2) = v1) | ~ % 33.97/8.04 (vlt(v3, v2) = v0)) & ! [v0: vPred] : ! [v1: vPred] : ! [v2: vExp] : ! % 33.97/8.04 [v3: vExp] : (v1 = v0 | ~ (vgt(v3, v2) = v1) | ~ (vgt(v3, v2) = v0)) & ! % 33.97/8.04 [v0: vPred] : ! [v1: vPred] : ! [v2: vExp] : ! [v3: vExp] : (v1 = v0 | ~ % 33.97/8.04 (veq(v3, v2) = v1) | ~ (veq(v3, v2) = v0)) & ! [v0: vPred] : ! [v1: % 33.97/8.04 vPred] : ! [v2: vPred] : ! [v3: vPred] : (v1 = v0 | ~ (vand(v3, v2) = v1) % 33.97/8.04 | ~ (vand(v3, v2) = v0)) & ! [v0: vTable] : ! [v1: vTable] : ! [v2: % 33.97/8.04 vRawTable] : ! [v3: vAttrL] : (v1 = v0 | ~ (vtable(v3, v2) = v1) | ~ % 33.97/8.04 (vtable(v3, v2) = v0)) & ! [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: % 33.97/8.04 vRawTable] : ! [v3: vRow] : (v1 = v0 | ~ (vtcons(v3, v2) = v1) | ~ % 33.97/8.04 (vtcons(v3, v2) = v0)) & ! [v0: vRow] : ! [v1: vRow] : ! [v2: vRow] : ! % 33.97/8.04 [v3: vVal] : (v1 = v0 | ~ (vrcons(v3, v2) = v1) | ~ (vrcons(v3, v2) = v0)) & % 33.97/8.04 ! [v0: vQuery] : ! [v1: vQuery] : ! [v2: vQuery] : ! [v3: vQuery] : (v1 = % 33.97/8.04 v0 | ~ (vDifference(v3, v2) = v1) | ~ (vDifference(v3, v2) = v0)) & ! % 33.97/8.04 [v0: vQuery] : ! [v1: vQuery] : ! [v2: vQuery] : ! [v3: vQuery] : (v1 = v0 % 33.97/8.04 | ~ (vIntersection(v3, v2) = v1) | ~ (vIntersection(v3, v2) = v0)) & ! % 33.97/8.04 [v0: vQuery] : ! [v1: vQuery] : ! [v2: vQuery] : ! [v3: vQuery] : (v1 = v0 % 33.97/8.04 | ~ (vUnion(v3, v2) = v1) | ~ (vUnion(v3, v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptFType] : (v1 = % 33.97/8.04 v0 | ~ (visSomeFType(v2) = v1) | ~ (visSomeFType(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptVal] : (v1 = % 33.97/8.04 v0 | ~ (visSomeVal(v2) = v1) | ~ (visSomeVal(v2) = v0)) & ! [v0: % 33.97/8.04 vRawTable] : ! [v1: vRawTable] : ! [v2: vRawTable] : (v1 = v0 | ~ % 33.97/8.04 (vprojectEmptyCol(v2) = v1) | ~ (vprojectEmptyCol(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptQuery] : (v1 = % 33.97/8.04 v0 | ~ (visSomeQuery(v2) = v1) | ~ (visSomeQuery(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vQuery] : (v1 = v0 % 33.97/8.04 | ~ (visValue(v2) = v1) | ~ (visValue(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptTType] : (v1 = % 33.97/8.04 v0 | ~ (visSomeTType(v2) = v1) | ~ (visSomeTType(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptTable] : (v1 = % 33.97/8.04 v0 | ~ (visSomeTable(v2) = v1) | ~ (visSomeTable(v2) = v0)) & ! [v0: % 33.97/8.04 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: vOptRawTable] : % 33.97/8.04 (v1 = v0 | ~ (visSomeRawTable(v2) = v1) | ~ (visSomeRawTable(v2) = v0)) & ! % 33.97/8.04 [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: vRawTable] : (v1 = v0 | ~ % 33.97/8.04 (vdropFirstColRaw(v2) = v1) | ~ (vdropFirstColRaw(v2) = v0)) & ! [v0: % 33.97/8.04 vRawTable] : ! [v1: vRawTable] : ! [v2: vRawTable] : (v1 = v0 | ~ % 33.97/8.04 (vprojectFirstRaw(v2) = v1) | ~ (vprojectFirstRaw(v2) = v0)) & ! [v0: % 33.97/8.04 vFType] : ! [v1: vFType] : ! [v2: vVal] : (v1 = v0 | ~ (vfieldType(v2) = % 33.97/8.04 v1) | ~ (vfieldType(v2) = v0)) & ! [v0: vAttrL] : ! [v1: vAttrL] : ! % 33.97/8.04 [v2: vTable] : (v1 = v0 | ~ (vgetAttrL(v2) = v1) | ~ (vgetAttrL(v2) = v0)) & % 33.97/8.04 ! [v0: vRawTable] : ! [v1: vRawTable] : ! [v2: vTable] : (v1 = v0 | ~ % 33.97/8.04 (vgetRaw(v2) = v1) | ~ (vgetRaw(v2) = v0)) & ! [v0: vFType] : ! [v1: % 33.97/8.04 vFType] : ! [v2: vOptFType] : (v1 = v0 | ~ (vgetFType(v2) = v1) | ~ % 33.97/8.04 (vgetFType(v2) = v0)) & ! [v0: vVal] : ! [v1: vVal] : ! [v2: vOptVal] : % 33.97/8.04 (v1 = v0 | ~ (vgetVal(v2) = v1) | ~ (vgetVal(v2) = v0)) & ! [v0: vQuery] : % 33.97/8.04 ! [v1: vQuery] : ! [v2: vOptQuery] : (v1 = v0 | ~ (vgetQuery(v2) = v1) | ~ % 33.97/8.04 (vgetQuery(v2) = v0)) & ! [v0: vTType] : ! [v1: vTType] : ! [v2: % 33.97/8.04 vOptTType] : (v1 = v0 | ~ (vgetTType(v2) = v1) | ~ (vgetTType(v2) = v0)) & % 33.97/8.04 ! [v0: vTable] : ! [v1: vTable] : ! [v2: vOptTable] : (v1 = v0 | ~ % 33.97/8.04 (vgetTable(v2) = v1) | ~ (vgetTable(v2) = v0)) & ! [v0: vRawTable] : ! % 33.97/8.04 [v1: vRawTable] : ! [v2: vOptRawTable] : (v1 = v0 | ~ (vgetRawTable(v2) = % 33.97/8.04 v1) | ~ (vgetRawTable(v2) = v0)) & ! [v0: vOptFType] : ! [v1: % 33.97/8.04 vOptFType] : ! [v2: vFType] : (v1 = v0 | ~ (vsomeFType(v2) = v1) | ~ % 33.97/8.04 (vsomeFType(v2) = v0)) & ! [v0: vVal] : ! [v1: vVal] : ! [v2: vVal] : (v1 % 33.97/8.04 = v0 | ~ (venumVal(v2) = v1) | ~ (venumVal(v2) = v0)) & ! [v0: vPred] : % 33.97/8.04 ! [v1: vPred] : ! [v2: vPred] : (v1 = v0 | ~ (vnot(v2) = v1) | ~ (vnot(v2) % 33.97/8.04 = v0)) & ! [v0: vOptVal] : ! [v1: vOptVal] : ! [v2: vVal] : (v1 = v0 | % 33.97/8.04 ~ (vsomeVal(v2) = v1) | ~ (vsomeVal(v2) = v0)) & ! [v0: vExp] : ! [v1: % 33.97/8.04 vExp] : ! [v2: vName] : (v1 = v0 | ~ (vlookup(v2) = v1) | ~ (vlookup(v2) % 33.97/8.04 = v0)) & ! [v0: vExp] : ! [v1: vExp] : ! [v2: vVal] : (v1 = v0 | ~ % 33.97/8.04 (vconstant(v2) = v1) | ~ (vconstant(v2) = v0)) & ! [v0: vName] : ! [v1: % 33.97/8.04 vName] : ! [v2: vName] : (v1 = v0 | ~ (venumName(v2) = v1) | ~ % 33.97/8.04 (venumName(v2) = v0)) & ! [v0: vOptQuery] : ! [v1: vOptQuery] : ! [v2: % 33.97/8.04 vQuery] : (v1 = v0 | ~ (vsomeQuery(v2) = v1) | ~ (vsomeQuery(v2) = v0)) & % 33.97/8.04 ! [v0: vFType] : ! [v1: vFType] : ! [v2: vFType] : (v1 = v0 | ~ % 33.97/8.04 (venumFType(v2) = v1) | ~ (venumFType(v2) = v0)) & ! [v0: vOptTType] : ! % 33.97/8.04 [v1: vOptTType] : ! [v2: vTType] : (v1 = v0 | ~ (vsomeTType(v2) = v1) | ~ % 33.97/8.04 (vsomeTType(v2) = v0)) & ! [v0: vOptRawTable] : ! [v1: vOptRawTable] : ! % 33.97/8.04 [v2: vRawTable] : (v1 = v0 | ~ (vsomeRawTable(v2) = v1) | ~ % 33.97/8.04 (vsomeRawTable(v2) = v0)) & ! [v0: vOptTable] : ! [v1: vOptTable] : ! % 33.97/8.04 [v2: vTable] : (v1 = v0 | ~ (vsomeTable(v2) = v1) | ~ (vsomeTable(v2) = v0)) % 33.97/8.04 & ! [v0: vQuery] : ! [v1: vQuery] : ! [v2: vTable] : (v1 = v0 | ~ % 33.97/8.04 (vtvalue(v2) = v1) | ~ (vtvalue(v2) = v0)) & ! [v0: vSelect] : ! [v1: % 33.97/8.04 vSelect] : ! [v2: vAttrL] : (v1 = v0 | ~ (vlist(v2) = v1) | ~ (vlist(v2) % 33.97/8.04 = v0)) % 33.97/8.04 % 33.97/8.04 Further assumptions not needed in the proof: % 33.97/8.04 -------------------------------------------- % 33.97/8.04 DIFF-Intersection-Difference, DIFF-Union-Difference, DIFF-Union-Intersection, % 33.97/8.04 DIFF-aempty-acons, DIFF-all-list, DIFF-and-eq, DIFF-and-gt, DIFF-and-lt, % 33.97/8.04 DIFF-and-not, DIFF-constant-lookup, DIFF-emptyContext-bindContext, % 33.97/8.04 DIFF-emptyStore-bindStore, DIFF-eq-gt, DIFF-eq-lt, DIFF-gt-lt, % 33.97/8.04 DIFF-initFType-enumFType, DIFF-initName-enumName, DIFF-initVal-enumVal, % 33.97/8.04 DIFF-noFType-someFType, DIFF-noQuery-someQuery, DIFF-noRawTable-someRawTable, % 33.97/8.04 DIFF-noTType-someTType, DIFF-noTable-someTable, DIFF-noVal-someVal, DIFF-not-eq, % 33.97/8.04 DIFF-not-gt, DIFF-not-lt, DIFF-ptrue-and, DIFF-ptrue-eq, DIFF-ptrue-gt, % 33.97/8.04 DIFF-ptrue-lt, DIFF-ptrue-not, DIFF-rempty-rcons, % 33.97/8.04 DIFF-selectFromWhere-Difference, DIFF-selectFromWhere-Intersection, % 33.97/8.04 DIFF-selectFromWhere-Union, DIFF-tempty-tcons, DIFF-ttempty-ttcons, % 33.97/8.04 DIFF-tvalue-Difference, DIFF-tvalue-Intersection, DIFF-tvalue-Union, % 33.97/8.04 DIFF-tvalue-selectFromWhere, EQ-Difference, EQ-Intersection, EQ-Union, EQ-acons, % 33.97/8.04 EQ-and, EQ-bindContext, EQ-bindStore, EQ-constant, EQ-enumFType, EQ-enumName, % 33.97/8.04 EQ-enumVal, EQ-eq, EQ-gt, EQ-list, EQ-lookup, EQ-lt, EQ-not, EQ-rcons, % 33.97/8.04 EQ-selectFromWhere, EQ-someFType, EQ-someQuery, EQ-someRawTable, EQ-someTType, % 33.97/8.04 EQ-someTable, EQ-someVal, EQ-table, EQ-tcons, EQ-ttcons, EQ-tvalue, TDifference, % 33.97/8.04 TDifference_inv1, TDifference_inv2, TIntersection, TIntersection_inv1, % 33.97/8.04 TIntersection_inv2, TSelectFromWhere, TSelectFromWhere_inv, TTTContextDuplicate, % 33.97/8.04 TTTContextSwap, TUnion, TUnion_inv1, TUnion_inv2, Ttvalue, Ttvalue_inv, % 33.97/8.04 append-0, append-1, append-INV, attachColToFrontRaw-0, attachColToFrontRaw-1, % 33.97/8.04 attachColToFrontRaw-2, attachColToFrontRaw-INV, dom-AttrL, dom-Exp, % 33.97/8.04 dom-OptFType, dom-OptQuery, dom-OptRawTable, dom-OptTType, dom-OptTable, % 33.97/8.04 dom-OptVal, dom-Pred, dom-Query, dom-RawTable, dom-Row, dom-Select, dom-TStore, % 33.97/8.04 dom-TTContext, dom-TType, dom-Table, dropFirstColRaw-0, dropFirstColRaw-1, % 33.97/8.04 dropFirstColRaw-2, dropFirstColRaw-INV, evalExpRow-0, evalExpRow-1, % 33.97/8.04 evalExpRow-2, evalExpRow-3, evalExpRow-INV, filterRows-0, filterRows-1, % 33.97/8.04 filterRows-2, filterRows-INV, filterSingleRow-0, filterSingleRow-1, % 33.97/8.04 filterSingleRow-2, filterSingleRow-3, filterSingleRow-4, filterSingleRow-5, % 33.97/8.04 filterSingleRow-false-INV, filterSingleRow-true-INV, filterTable-0, % 33.97/8.04 filterTable-INV, findCol-0, findCol-1, findCol-2, findCol-INV, findColType-0, % 33.97/8.04 findColType-1, findColType-2, findColType-INV, getAttrL-0, getAttrL-INV, % 33.97/8.04 getFType-0, getQuery-0, getRaw-0, getRaw-INV, getRawTable-0, getTType-0, % 33.97/8.04 getTable-0, getVal-0, isSomeFType-0, isSomeFType-1, isSomeFType-false-INV, % 33.97/8.04 isSomeFType-true-INV, isSomeQuery-0, isSomeQuery-1, isSomeQuery-false-INV, % 33.97/8.04 isSomeQuery-true-INV, isSomeRawTable-0, isSomeRawTable-1, % 33.97/8.04 isSomeRawTable-false-INV, isSomeRawTable-true-INV, isSomeTType-0, isSomeTType-1, % 33.97/8.04 isSomeTType-false-INV, isSomeTType-true-INV, isSomeTable-0, isSomeTable-1, % 33.97/8.04 isSomeTable-false-INV, isSomeTable-true-INV, isSomeVal-0, isSomeVal-1, % 33.97/8.04 isSomeVal-false-INV, isSomeVal-true-INV, isValue-0, isValue-1, isValue-2, % 33.97/8.04 isValue-3, isValue-4, isValue-false-INV, isValue-true-INV, lookupContext-0, % 33.97/8.04 lookupContext-1, lookupContext-2, lookupContext-INV, lookupStore-0, % 33.97/8.04 lookupStore-1, lookupStore-2, lookupStore-INV, matchingAttrL-0, matchingAttrL-1, % 33.97/8.04 matchingAttrL-2, matchingAttrL-false-INV, matchingAttrL-true-INV, projectCols-0, % 33.97/8.04 projectCols-1, projectCols-2, projectCols-INV, projectEmptyCol-0, % 33.97/8.04 projectEmptyCol-1, projectEmptyCol-INV, projectFirstRaw-0, projectFirstRaw-1, % 33.97/8.04 projectFirstRaw-2, projectFirstRaw-INV, projectTable-0, projectTable-1, % 33.97/8.04 projectTable-2, projectTable-INV, projectType-0, projectType-1, projectType-INV, % 33.97/8.04 projectTypeAttrL-0, projectTypeAttrL-1, projectTypeAttrL-2, % 33.97/8.04 projectTypeAttrL-INV, rawDifference-0, rawDifference-1, rawDifference-2, % 33.97/8.04 rawDifference-3, rawDifference-4, rawDifference-INV, rawIntersection-0, % 33.97/8.04 rawIntersection-1, rawIntersection-2, rawIntersection-3, rawIntersection-4, % 33.97/8.04 rawIntersection-INV, rawUnion-1, rawUnion-2, rawUnion-INV, reduce-0, reduce-1, % 33.97/8.04 reduce-10, reduce-11, reduce-12, reduce-13, reduce-14, reduce-15, reduce-16, % 33.97/8.04 reduce-17, reduce-18, reduce-2, reduce-3, reduce-4, reduce-5, reduce-6, % 33.97/8.04 reduce-7, reduce-8, reduce-9, reduce-INV, rowIn-0, rowIn-1, rowIn-false-INV, % 33.97/8.04 rowIn-true-INV, sameLength-0, sameLength-1, sameLength-2, sameLength-false-INV, % 33.97/8.04 sameLength-true-INV, storeContextConsistent-0, storeContextConsistent-1, % 33.97/8.04 storeContextConsistent-2, storeContextConsistent-false-INV, % 33.97/8.04 storeContextConsistent-true-INV, tcheckPred-0, tcheckPred-1, tcheckPred-2, % 33.97/8.04 tcheckPred-3, tcheckPred-4, tcheckPred-5, tcheckPred-false-INV, % 33.97/8.04 tcheckPred-true-INV, typeOfExp-0, typeOfExp-1, typeOfExp-2, typeOfExp-3, % 33.97/8.04 typeOfExp-INV, welltypedRawtable-0, welltypedRawtable-1, % 33.97/8.04 welltypedRawtable-false-INV, welltypedRawtable-true-INV, welltypedRow-0, % 33.97/8.04 welltypedRow-1, welltypedRow-2, welltypedRow-false-INV, welltypedRow-true-INV, % 33.97/8.04 welltypedtable-0, welltypedtable-false-INV, welltypedtable-true-INV % 33.97/8.04 % 33.97/8.04 Those formulas are unsatisfiable: % 33.97/8.04 --------------------------------- % 33.97/8.04 % 33.97/8.04 Begin of proof % 33.97/8.04 | % 33.97/8.04 | ALPHA: (rawUnion-0) implies: % 33.97/8.04 | (1) ! [v0: vRawTable] : ! [v1: vRawTable] : (v1 = v0 | ~ % 33.97/8.04 | (vrawUnion(vtempty, v0) = v1) | ~ vRawTable(v0)) % 33.97/8.04 | % 33.97/8.04 | ALPHA: (rawUnionPreservesWellTypedRaw-tempty) implies: % 33.97/8.04 | (2) ? [v0: vTType] : ? [v1: vRawTable] : ? [v2: vRawTable] : ? [v3: % 33.97/8.04 | int] : ( ~ (v3 = 0) & vrawUnion(vtempty, v1) = v2 & % 33.97/8.04 | vwelltypedRawtable(v0, v2) = v3 & vwelltypedRawtable(v0, v1) = 0 & % 33.97/8.04 | vwelltypedRawtable(v0, vtempty) = 0 & vTType(v0) & vRawTable(v2) & % 33.97/8.04 | vRawTable(v1)) % 33.97/8.04 | % 33.97/8.04 | ALPHA: (function-axioms) implies: % 33.97/8.04 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 33.97/8.04 | vRawTable] : ! [v3: vTType] : (v1 = v0 | ~ (vwelltypedRawtable(v3, % 33.97/8.04 | v2) = v1) | ~ (vwelltypedRawtable(v3, v2) = v0)) % 33.97/8.04 | % 33.97/8.04 | DELTA: instantiating (2) with fresh symbols all_331_0, all_331_1, all_331_2, % 33.97/8.04 | all_331_3 gives: % 33.97/8.05 | (4) ~ (all_331_0 = 0) & vrawUnion(vtempty, all_331_2) = all_331_1 & % 33.97/8.05 | vwelltypedRawtable(all_331_3, all_331_1) = all_331_0 & % 33.97/8.05 | vwelltypedRawtable(all_331_3, all_331_2) = 0 & % 33.97/8.05 | vwelltypedRawtable(all_331_3, vtempty) = 0 & vTType(all_331_3) & % 33.97/8.05 | vRawTable(all_331_1) & vRawTable(all_331_2) % 33.97/8.05 | % 33.97/8.05 | ALPHA: (4) implies: % 33.97/8.05 | (5) ~ (all_331_0 = 0) % 33.97/8.05 | (6) vRawTable(all_331_2) % 33.97/8.05 | (7) vwelltypedRawtable(all_331_3, all_331_2) = 0 % 33.97/8.05 | (8) vwelltypedRawtable(all_331_3, all_331_1) = all_331_0 % 33.97/8.05 | (9) vrawUnion(vtempty, all_331_2) = all_331_1 % 33.97/8.05 | % 33.97/8.05 | GROUND_INST: instantiating (1) with all_331_2, all_331_1, simplifying with % 33.97/8.05 | (6), (9) gives: % 33.97/8.05 | (10) all_331_1 = all_331_2 % 33.97/8.05 | % 33.97/8.05 | REDUCE: (8), (10) imply: % 33.97/8.05 | (11) vwelltypedRawtable(all_331_3, all_331_2) = all_331_0 % 33.97/8.05 | % 33.97/8.05 | GROUND_INST: instantiating (3) with 0, all_331_0, all_331_2, all_331_3, % 33.97/8.05 | simplifying with (7), (11) gives: % 33.97/8.05 | (12) all_331_0 = 0 % 33.97/8.05 | % 33.97/8.05 | REDUCE: (5), (12) imply: % 33.97/8.05 | (13) $false % 33.97/8.05 | % 33.97/8.05 | CLOSE: (13) is inconsistent. % 33.97/8.05 | % 33.97/8.05 End of proof % 33.97/8.05 % SZS output end Proof for theBenchmark % 33.97/8.05 % 33.97/8.05 7344ms %------------------------------------------------------------------------------