%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR038+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n016.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 : Wed Aug 30 21:36:39 EDT 2023 % Result : Theorem 9.70s 2.02s % Output : Proof 15.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : CSR038+1 : TPTP v8.1.2. Released v3.4.0. % 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.35 % Computer : n016.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Mon Aug 28 13:09:30 EDT 2023 % 0.15/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.62 Running up to 7 provers in parallel. % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.19/1.10 Prover 1: Preprocessing ... % 3.19/1.10 Prover 4: Preprocessing ... % 3.19/1.15 Prover 5: Preprocessing ... % 3.19/1.15 Prover 3: Preprocessing ... % 3.19/1.15 Prover 6: Preprocessing ... % 3.19/1.15 Prover 0: Preprocessing ... % 3.19/1.15 Prover 2: Preprocessing ... % 6.76/1.60 Prover 2: Proving ... % 6.76/1.61 Prover 5: Proving ... % 7.58/1.71 Prover 3: Warning: ignoring some quantifiers % 7.58/1.71 Prover 1: Warning: ignoring some quantifiers % 7.58/1.73 Prover 6: Proving ... % 7.58/1.74 Prover 3: Constructing countermodel ... % 7.85/1.78 Prover 1: Constructing countermodel ... % 8.67/1.91 Prover 0: Proving ... % 8.67/1.93 Prover 4: Constructing countermodel ... % 9.44/2.01 Prover 3: gave up % 9.44/2.01 Prover 2: proved (1367ms) % 9.70/2.02 % 9.70/2.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.70/2.02 % 9.70/2.02 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.70/2.02 Prover 0: stopped % 9.70/2.03 Prover 6: stopped % 9.70/2.03 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.70/2.03 Prover 5: stopped % 9.70/2.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.70/2.03 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.70/2.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.48/2.13 Prover 7: Preprocessing ... % 10.48/2.14 Prover 8: Preprocessing ... % 10.48/2.15 Prover 11: Preprocessing ... % 10.48/2.16 Prover 13: Preprocessing ... % 10.48/2.16 Prover 10: Preprocessing ... % 10.99/2.26 Prover 1: gave up % 11.62/2.26 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 11.76/2.30 Prover 7: Constructing countermodel ... % 11.76/2.31 Prover 16: Preprocessing ... % 12.03/2.32 Prover 10: Constructing countermodel ... % 12.03/2.32 Prover 13: Warning: ignoring some quantifiers % 12.03/2.34 Prover 13: Constructing countermodel ... % 12.03/2.41 Prover 16: Warning: ignoring some quantifiers % 12.03/2.42 Prover 16: Constructing countermodel ... % 12.03/2.44 Prover 8: Warning: ignoring some quantifiers % 12.41/2.46 Prover 8: Constructing countermodel ... % 12.41/2.52 Prover 10: gave up % 12.41/2.52 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 13.66/2.58 Prover 19: Preprocessing ... % 13.66/2.59 Prover 11: Constructing countermodel ... % 14.14/2.60 Prover 4: Found proof (size 60) % 14.14/2.60 Prover 4: proved (1956ms) % 14.14/2.60 Prover 16: stopped % 14.14/2.60 Prover 7: stopped % 14.14/2.60 Prover 8: stopped % 14.14/2.61 Prover 13: stopped % 14.14/2.61 Prover 11: stopped % 14.47/2.75 Prover 19: Warning: ignoring some quantifiers % 14.93/2.77 Prover 19: Constructing countermodel ... % 14.93/2.79 Prover 19: stopped % 14.93/2.79 % 14.93/2.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.93/2.79 % 15.10/2.82 % SZS output start Proof for theBenchmark % 15.10/2.83 Assumptions after simplification: % 15.10/2.83 --------------------------------- % 15.10/2.83 % 15.10/2.83 (just1) % 15.28/2.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 15.28/2.86 (f_relationexistsallfn(v0, v2, v3, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 15.28/2.86 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : % 15.28/2.86 (relationexistsall(v2, v3, v1) = v6 & isa(v4, v3) = v7 & isa(v0, v1) = v5 & % 15.28/2.86 ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) % 15.28/2.86 % 15.28/2.86 (just39) % 15.28/2.87 $i(c_correctivelensprescription) & $i(c_products) & $i(c_issuingaprescription) % 15.28/2.87 & ? [v0: $i] : (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.28/2.87 c_products, c_correctivelensprescription) = v0 & $i(v0) & ! [v1: $i] : ! % 15.28/2.87 [v2: int] : (v2 = 0 | ~ % 15.28/2.87 (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.28/2.87 = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) = v3)) & % 15.28/2.87 ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) | % 15.28/2.87 subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.28/2.87 = 0)) % 15.28/2.87 % 15.28/2.87 (just40) % 15.28/2.87 $i(c_correctivelensprescription) & $i(c_products) & $i(c_issuingaprescription) % 15.28/2.87 & ? [v0: $i] : (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.28/2.87 c_products, c_correctivelensprescription) = v0 & $i(v0) & ! [v1: $i] : ! % 15.28/2.87 [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ % 15.28/2.87 (v3 = 0) & % 15.28/2.87 subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.28/2.87 = v3)) & ! [v1: $i] : ( ~ % 15.28/2.87 (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.28/2.87 = 0) | ~ $i(v1) | isa(v1, v0) = 0)) % 15.28/2.87 % 15.28/2.87 (just41) % 15.28/2.87 $i(c_tptpcol_16_7738) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 15.28/2.87 (tptpcol_16_7738(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 15.28/2.87 isa(v0, c_tptpcol_16_7738) = v2)) & ! [v0: $i] : ( ~ (isa(v0, % 15.28/2.87 c_tptpcol_16_7738) = 0) | ~ $i(v0) | tptpcol_16_7738(v0) = 0) % 15.28/2.87 % 15.28/2.87 (just42) % 15.28/2.87 $i(c_tptpcol_16_7738) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 15.28/2.87 c_tptpcol_16_7738) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 15.28/2.87 tptpcol_16_7738(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_7738(v0) = 0) | % 15.28/2.87 ~ $i(v0) | isa(v0, c_tptpcol_16_7738) = 0) % 15.28/2.88 % 15.28/2.88 (just6) % 15.28/2.88 $i(c_tptpcol_16_7738) & $i(c_tptp_8_968) & $i(c_correctivelensprescription) & % 15.28/2.88 $i(c_products) & $i(c_issuingaprescription) & ? [v0: $i] : % 15.28/2.88 (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, % 15.28/2.88 c_correctivelensprescription) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : % 15.28/2.88 ( ~ (f_relationexistsallfn(v1, c_tptp_8_968, c_tptpcol_16_7738, v0) = v2) | % 15.28/2.88 ~ $i(v1) | ? [v3: any] : ? [v4: any] : (tptp_8_968(v2, v1) = v4 & % 15.28/2.88 isa(v1, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1: $i] : ( ~ (isa(v1, % 15.28/2.88 v0) = 0) | ~ $i(v1) | ? [v2: $i] : (tptp_8_968(v2, v1) = 0 & % 15.28/2.88 f_relationexistsallfn(v1, c_tptp_8_968, c_tptpcol_16_7738, v0) = v2 & % 15.28/2.88 $i(v2)))) % 15.28/2.88 % 15.28/2.88 (just7) % 15.28/2.88 $i(c_tptpcol_16_7738) & $i(c_tptp_8_968) & $i(c_correctivelensprescription) & % 15.28/2.88 $i(c_products) & $i(c_issuingaprescription) & ? [v0: $i] : % 15.28/2.88 (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, % 15.28/2.88 c_correctivelensprescription) = v0 & relationexistsall(c_tptp_8_968, % 15.28/2.88 c_tptpcol_16_7738, v0) = 0 & $i(v0)) % 15.28/2.88 % 15.28/2.88 (just8) % 15.28/2.88 $i(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.28/2.88 & $i(c_correctivelensprescription) & $i(c_products) & % 15.28/2.88 $i(c_issuingaprescription) & ? [v0: $i] : % 15.28/2.88 (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, % 15.28/2.88 c_correctivelensprescription) = v0 & % 15.28/2.88 isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.28/2.88 v0) = 0 & $i(v0)) % 15.28/2.88 % 15.28/2.88 (query38) % 15.28/2.88 mtvisible(c_knowledgefragmentd3mt) = 0 & % 15.28/2.88 $i(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.28/2.88 & $i(c_knowledgefragmentd3mt) & ! [v0: $i] : ( ~ (tptpcol_16_7738(v0) = 0) | % 15.28/2.88 ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & tptp_8_968(v0, % 15.28/2.88 c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.28/2.88 = v1)) & ! [v0: $i] : ( ~ (tptp_8_968(v0, % 15.28/2.88 c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.28/2.88 = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & tptpcol_16_7738(v0) = % 15.28/2.88 v1)) % 15.28/2.88 % 15.28/2.88 (function-axioms) % 15.28/2.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 15.28/2.89 $i] : (v1 = v0 | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v1) | ~ % 15.28/2.89 (f_relationexistsallfn(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 15.28/2.89 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = % 15.28/2.89 v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0)) % 15.28/2.89 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = % 15.28/2.89 v0 | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v1) | ~ % 15.28/2.89 (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v0)) & ! [v0: % 15.28/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 15.28/2.89 : ! [v4: $i] : (v1 = v0 | ~ (relationexistsall(v4, v3, v2) = v1) | ~ % 15.28/2.89 (relationexistsall(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.28/2.89 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.28/2.89 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0: % 15.28/2.89 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 15.28/2.89 : (v1 = v0 | ~ (products(v3, v2) = v1) | ~ (products(v3, v2) = v0)) & ! % 15.28/2.89 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 15.28/2.89 $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! % 15.28/2.89 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 15.28/2.89 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) % 15.28/2.89 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 15.28/2.89 [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) % 15.28/2.89 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 15.28/2.89 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ % 15.28/2.89 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.28/2.89 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.28/2.90 (tptp_8_968(v3, v2) = v1) | ~ (tptp_8_968(v3, v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 15.28/2.90 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 15.28/2.90 : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0)) % 15.28/2.90 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 15.28/2.90 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0)) & % 15.28/2.90 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 15.28/2.90 v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0)) & ! % 15.28/2.90 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 15.28/2.90 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 15.28/2.90 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_7_7172(v2) = % 15.28/2.90 v1) | ~ (tptpcol_7_7172(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.28/2.90 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_16_7738(v2) = v1) % 15.28/2.90 | ~ (tptpcol_16_7738(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.28/2.90 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (issuingaprescription(v2) = % 15.28/2.90 v1) | ~ (issuingaprescription(v2) = v0)) & ! [v0: MultipleValueBool] : % 15.28/2.90 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 15.28/2.90 (creationordestructionevent(v2) = v1) | ~ (creationordestructionevent(v2) = % 15.28/2.90 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 15.28/2.90 $i] : (v1 = v0 | ~ (artifact(v2) = v1) | ~ (artifact(v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ (correctivelensprescription(v2) = v1) | ~ (correctivelensprescription(v2) % 15.28/2.90 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 15.28/2.90 $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & ! % 15.28/2.90 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 15.28/2.90 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0)) & ! [v0: % 15.28/2.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.28/2.90 ~ % 15.28/2.90 (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) % 15.28/2.90 = v1) | ~ % 15.28/2.90 (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) % 15.28/2.90 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 15.28/2.90 $i] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~ % 15.28/2.90 (transitivebinarypredicate(v2) = v0)) % 15.28/2.90 % 15.28/2.90 Further assumptions not needed in the proof: % 15.28/2.90 -------------------------------------------- % 15.28/2.90 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 15.28/2.90 just2, just20, just21, just22, just23, just24, just25, just26, just27, just28, % 15.28/2.90 just29, just3, just30, just31, just32, just33, just34, just35, just36, just37, % 15.28/2.90 just38, just4, just43, just44, just45, just46, just47, just48, just49, just5, % 15.28/2.90 just50, just51, just52, just53, just54, just55, just56, just57, just58, just59, % 15.28/2.90 just60, just61, just62, just63, just64, just65, just66, just67, just68, just69, % 15.28/2.90 just70, just71, just72, just9 % 15.28/2.90 % 15.28/2.90 Those formulas are unsatisfiable: % 15.28/2.90 --------------------------------- % 15.28/2.90 % 15.28/2.90 Begin of proof % 15.28/2.90 | % 15.59/2.90 | ALPHA: (just6) implies: % 15.59/2.90 | (1) ? [v0: $i] : % 15.59/2.90 | (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.90 | c_products, c_correctivelensprescription) = v0 & $i(v0) & ! [v1: % 15.59/2.90 | $i] : ! [v2: $i] : ( ~ (f_relationexistsallfn(v1, c_tptp_8_968, % 15.59/2.90 | c_tptpcol_16_7738, v0) = v2) | ~ $i(v1) | ? [v3: any] : ? % 15.59/2.90 | [v4: any] : (tptp_8_968(v2, v1) = v4 & isa(v1, v0) = v3 & ( ~ (v3 = % 15.59/2.90 | 0) | v4 = 0))) & ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ % 15.59/2.90 | $i(v1) | ? [v2: $i] : (tptp_8_968(v2, v1) = 0 & % 15.59/2.90 | f_relationexistsallfn(v1, c_tptp_8_968, c_tptpcol_16_7738, v0) = % 15.59/2.90 | v2 & $i(v2)))) % 15.59/2.90 | % 15.59/2.90 | ALPHA: (just7) implies: % 15.59/2.90 | (2) $i(c_tptp_8_968) % 15.59/2.90 | (3) ? [v0: $i] : % 15.59/2.90 | (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.90 | c_products, c_correctivelensprescription) = v0 & % 15.59/2.90 | relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, v0) = 0 & $i(v0)) % 15.59/2.90 | % 15.59/2.90 | ALPHA: (just8) implies: % 15.59/2.90 | (4) ? [v0: $i] : % 15.59/2.90 | (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.90 | c_products, c_correctivelensprescription) = v0 & % 15.59/2.90 | isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.90 | v0) = 0 & $i(v0)) % 15.59/2.90 | % 15.59/2.90 | ALPHA: (just39) implies: % 15.59/2.90 | (5) ? [v0: $i] : % 15.59/2.90 | (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.90 | c_products, c_correctivelensprescription) = v0 & $i(v0) & ! [v1: % 15.59/2.90 | $i] : ! [v2: int] : (v2 = 0 | ~ % 15.59/2.90 | (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.59/2.90 | = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) = % 15.59/2.90 | v3)) & ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) | % 15.59/2.90 | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.59/2.90 | = 0)) % 15.59/2.90 | % 15.59/2.90 | ALPHA: (just40) implies: % 15.59/2.91 | (6) ? [v0: $i] : % 15.59/2.91 | (f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.91 | c_products, c_correctivelensprescription) = v0 & $i(v0) & ! [v1: % 15.59/2.91 | $i] : ! [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | % 15.59/2.91 | ? [v3: int] : ( ~ (v3 = 0) & % 15.59/2.91 | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.59/2.91 | = v3)) & ! [v1: $i] : ( ~ % 15.59/2.91 | (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) % 15.59/2.91 | = 0) | ~ $i(v1) | isa(v1, v0) = 0)) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (just41) implies: % 15.59/2.91 | (7) ! [v0: $i] : ( ~ (isa(v0, c_tptpcol_16_7738) = 0) | ~ $i(v0) | % 15.59/2.91 | tptpcol_16_7738(v0) = 0) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (just42) implies: % 15.59/2.91 | (8) $i(c_tptpcol_16_7738) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (query38) implies: % 15.59/2.91 | (9) $i(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.91 | (10) ! [v0: $i] : ( ~ (tptp_8_968(v0, % 15.59/2.91 | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.91 | = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 15.59/2.91 | tptpcol_16_7738(v0) = v1)) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (function-axioms) implies: % 15.59/2.91 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.59/2.91 | : (v1 = v0 | ~ (tptpcol_16_7738(v2) = v1) | ~ (tptpcol_16_7738(v2) = % 15.59/2.91 | v0)) % 15.59/2.91 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.59/2.91 | : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 15.59/2.91 | v0)) % 15.59/2.91 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.59/2.91 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationexistsall(v4, v3, % 15.59/2.91 | v2) = v1) | ~ (relationexistsall(v4, v3, v2) = v0)) % 15.59/2.91 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.59/2.91 | (v1 = v0 | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v1) % 15.59/2.91 | | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v0)) % 15.59/2.91 | % 15.59/2.91 | DELTA: instantiating (4) with fresh symbol all_65_0 gives: % 15.59/2.91 | (15) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.91 | c_products, c_correctivelensprescription) = all_65_0 & % 15.59/2.91 | isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.91 | all_65_0) = 0 & $i(all_65_0) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (15) implies: % 15.59/2.91 | (16) isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.91 | all_65_0) = 0 % 15.59/2.91 | (17) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.91 | c_products, c_correctivelensprescription) = all_65_0 % 15.59/2.91 | % 15.59/2.91 | DELTA: instantiating (3) with fresh symbol all_67_0 gives: % 15.59/2.91 | (18) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.91 | c_products, c_correctivelensprescription) = all_67_0 & % 15.59/2.91 | relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_67_0) = 0 & % 15.59/2.91 | $i(all_67_0) % 15.59/2.91 | % 15.59/2.91 | ALPHA: (18) implies: % 15.59/2.91 | (19) $i(all_67_0) % 15.59/2.91 | (20) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_67_0) = 0 % 15.59/2.91 | (21) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.91 | c_products, c_correctivelensprescription) = all_67_0 % 15.59/2.91 | % 15.59/2.91 | DELTA: instantiating (6) with fresh symbol all_69_0 gives: % 15.59/2.92 | (22) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_69_0 & $i(all_69_0) % 15.59/2.92 | & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, all_69_0) = v1) | % 15.59/2.92 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 15.59/2.92 | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) % 15.59/2.92 | = v2)) & ! [v0: $i] : ( ~ % 15.59/2.92 | (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) % 15.59/2.92 | = 0) | ~ $i(v0) | isa(v0, all_69_0) = 0) % 15.59/2.92 | % 15.59/2.92 | ALPHA: (22) implies: % 15.59/2.92 | (23) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_69_0 % 15.59/2.92 | % 15.59/2.92 | DELTA: instantiating (5) with fresh symbol all_72_0 gives: % 15.59/2.92 | (24) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_72_0 & $i(all_72_0) % 15.59/2.92 | & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 15.59/2.92 | (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) % 15.59/2.92 | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & isa(v0, % 15.59/2.92 | all_72_0) = v2)) & ! [v0: $i] : ( ~ (isa(v0, all_72_0) = 0) | % 15.59/2.92 | ~ $i(v0) | % 15.59/2.92 | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) % 15.59/2.92 | = 0) % 15.59/2.92 | % 15.59/2.92 | ALPHA: (24) implies: % 15.59/2.92 | (25) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_72_0 % 15.59/2.92 | % 15.59/2.92 | DELTA: instantiating (1) with fresh symbol all_75_0 gives: % 15.59/2.92 | (26) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_75_0 & $i(all_75_0) % 15.59/2.92 | & ! [v0: $i] : ! [v1: $i] : ( ~ (f_relationexistsallfn(v0, % 15.59/2.92 | c_tptp_8_968, c_tptpcol_16_7738, all_75_0) = v1) | ~ $i(v0) | % 15.59/2.92 | ? [v2: any] : ? [v3: any] : (tptp_8_968(v1, v0) = v3 & isa(v0, % 15.59/2.92 | all_75_0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ % 15.59/2.92 | (isa(v0, all_75_0) = 0) | ~ $i(v0) | ? [v1: $i] : (tptp_8_968(v1, % 15.59/2.92 | v0) = 0 & f_relationexistsallfn(v0, c_tptp_8_968, % 15.59/2.92 | c_tptpcol_16_7738, all_75_0) = v1 & $i(v1))) % 15.59/2.92 | % 15.59/2.92 | ALPHA: (26) implies: % 15.59/2.92 | (27) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, % 15.59/2.92 | c_products, c_correctivelensprescription) = all_75_0 % 15.59/2.92 | (28) ! [v0: $i] : ( ~ (isa(v0, all_75_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 15.59/2.92 | (tptp_8_968(v1, v0) = 0 & f_relationexistsallfn(v0, c_tptp_8_968, % 15.59/2.92 | c_tptpcol_16_7738, all_75_0) = v1 & $i(v1))) % 15.59/2.92 | % 15.59/2.92 | GROUND_INST: instantiating (14) with all_69_0, all_72_0, % 15.59/2.92 | c_correctivelensprescription, c_products, c_issuingaprescription, % 15.59/2.92 | simplifying with (23), (25) gives: % 15.59/2.92 | (29) all_72_0 = all_69_0 % 15.59/2.92 | % 15.59/2.92 | GROUND_INST: instantiating (14) with all_67_0, all_72_0, % 15.59/2.92 | c_correctivelensprescription, c_products, c_issuingaprescription, % 15.59/2.92 | simplifying with (21), (25) gives: % 15.59/2.92 | (30) all_72_0 = all_67_0 % 15.59/2.92 | % 15.59/2.92 | GROUND_INST: instantiating (14) with all_72_0, all_75_0, % 15.59/2.92 | c_correctivelensprescription, c_products, c_issuingaprescription, % 15.59/2.92 | simplifying with (25), (27) gives: % 15.59/2.92 | (31) all_75_0 = all_72_0 % 15.59/2.92 | % 15.59/2.92 | GROUND_INST: instantiating (14) with all_65_0, all_75_0, % 15.59/2.92 | c_correctivelensprescription, c_products, c_issuingaprescription, % 15.59/2.92 | simplifying with (17), (27) gives: % 15.59/2.92 | (32) all_75_0 = all_65_0 % 15.59/2.92 | % 15.59/2.92 | COMBINE_EQS: (31), (32) imply: % 15.59/2.92 | (33) all_72_0 = all_65_0 % 15.59/2.92 | % 15.59/2.92 | SIMP: (33) implies: % 15.59/2.92 | (34) all_72_0 = all_65_0 % 15.59/2.92 | % 15.59/2.92 | COMBINE_EQS: (29), (30) imply: % 15.59/2.92 | (35) all_69_0 = all_67_0 % 15.59/2.92 | % 15.59/2.92 | COMBINE_EQS: (29), (34) imply: % 15.59/2.92 | (36) all_69_0 = all_65_0 % 15.59/2.92 | % 15.59/2.92 | COMBINE_EQS: (35), (36) imply: % 15.59/2.92 | (37) all_67_0 = all_65_0 % 15.59/2.92 | % 15.59/2.92 | SIMP: (37) implies: % 15.59/2.92 | (38) all_67_0 = all_65_0 % 15.59/2.93 | % 15.59/2.93 | REDUCE: (20), (38) imply: % 15.59/2.93 | (39) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_65_0) = 0 % 15.59/2.93 | % 15.59/2.93 | REDUCE: (19), (38) imply: % 15.59/2.93 | (40) $i(all_65_0) % 15.59/2.93 | % 15.59/2.93 | GROUND_INST: instantiating (28) with % 15.59/2.93 | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | simplifying with (9) gives: % 15.59/2.93 | (41) ~ % 15.59/2.93 | (isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | all_75_0) = 0) | ? [v0: $i] : (tptp_8_968(v0, % 15.59/2.93 | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.93 | = 0 & % 15.59/2.93 | f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | c_tptp_8_968, c_tptpcol_16_7738, all_75_0) = v0 & $i(v0)) % 15.59/2.93 | % 15.59/2.93 | BETA: splitting (41) gives: % 15.59/2.93 | % 15.59/2.93 | Case 1: % 15.59/2.93 | | % 15.59/2.93 | | (42) ~ % 15.59/2.93 | | (isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | all_75_0) = 0) % 15.59/2.93 | | % 15.59/2.93 | | REDUCE: (32), (42) imply: % 15.59/2.93 | | (43) ~ % 15.59/2.93 | | (isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | all_65_0) = 0) % 15.59/2.93 | | % 15.59/2.93 | | PRED_UNIFY: (16), (43) imply: % 15.59/2.93 | | (44) $false % 15.59/2.93 | | % 15.59/2.93 | | CLOSE: (44) is inconsistent. % 15.59/2.93 | | % 15.59/2.93 | Case 2: % 15.59/2.93 | | % 15.59/2.93 | | (45) isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | all_75_0) = 0 % 15.59/2.93 | | (46) ? [v0: $i] : (tptp_8_968(v0, % 15.59/2.93 | | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.93 | | = 0 & % 15.59/2.93 | | f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | c_tptp_8_968, c_tptpcol_16_7738, all_75_0) = v0 & $i(v0)) % 15.59/2.93 | | % 15.59/2.93 | | DELTA: instantiating (46) with fresh symbol all_118_0 gives: % 15.59/2.93 | | (47) tptp_8_968(all_118_0, % 15.59/2.93 | | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.93 | | = 0 & % 15.59/2.93 | | f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | c_tptp_8_968, c_tptpcol_16_7738, all_75_0) = all_118_0 & % 15.59/2.93 | | $i(all_118_0) % 15.59/2.93 | | % 15.59/2.93 | | ALPHA: (47) implies: % 15.59/2.93 | | (48) $i(all_118_0) % 15.59/2.93 | | (49) f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | c_tptp_8_968, c_tptpcol_16_7738, all_75_0) = all_118_0 % 15.59/2.93 | | (50) tptp_8_968(all_118_0, % 15.59/2.93 | | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) % 15.59/2.93 | | = 0 % 15.59/2.93 | | % 15.59/2.93 | | REDUCE: (32), (49) imply: % 15.59/2.93 | | (51) f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | c_tptp_8_968, c_tptpcol_16_7738, all_65_0) = all_118_0 % 15.59/2.93 | | % 15.59/2.93 | | GROUND_INST: instantiating (just1) with % 15.59/2.93 | | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.93 | | all_65_0, c_tptp_8_968, c_tptpcol_16_7738, all_118_0, % 15.59/2.93 | | simplifying with (2), (8), (9), (40), (51) gives: % 15.59/2.94 | | (52) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.59/2.94 | | (relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_65_0) = v1 & % 15.59/2.94 | | isa(all_118_0, c_tptpcol_16_7738) = v2 & % 15.59/2.94 | | isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.94 | | all_65_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 15.59/2.94 | | % 15.59/2.94 | | GROUND_INST: instantiating (10) with all_118_0, simplifying with (48), (50) % 15.59/2.94 | | gives: % 15.59/2.94 | | (53) ? [v0: int] : ( ~ (v0 = 0) & tptpcol_16_7738(all_118_0) = v0) % 15.59/2.94 | | % 15.59/2.94 | | DELTA: instantiating (53) with fresh symbol all_126_0 gives: % 15.59/2.94 | | (54) ~ (all_126_0 = 0) & tptpcol_16_7738(all_118_0) = all_126_0 % 15.59/2.94 | | % 15.59/2.94 | | ALPHA: (54) implies: % 15.59/2.94 | | (55) ~ (all_126_0 = 0) % 15.59/2.94 | | (56) tptpcol_16_7738(all_118_0) = all_126_0 % 15.59/2.94 | | % 15.59/2.94 | | DELTA: instantiating (52) with fresh symbols all_128_0, all_128_1, all_128_2 % 15.59/2.94 | | gives: % 15.59/2.94 | | (57) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_65_0) = % 15.59/2.94 | | all_128_1 & isa(all_118_0, c_tptpcol_16_7738) = all_128_0 & % 15.59/2.94 | | isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.94 | | all_65_0) = all_128_2 & ( ~ (all_128_1 = 0) | ~ (all_128_2 = 0) | % 15.59/2.94 | | all_128_0 = 0) % 15.59/2.94 | | % 15.59/2.94 | | ALPHA: (57) implies: % 15.59/2.94 | | (58) isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.94 | | all_65_0) = all_128_2 % 15.59/2.94 | | (59) isa(all_118_0, c_tptpcol_16_7738) = all_128_0 % 15.59/2.94 | | (60) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_65_0) = % 15.59/2.94 | | all_128_1 % 15.59/2.94 | | (61) ~ (all_128_1 = 0) | ~ (all_128_2 = 0) | all_128_0 = 0 % 15.59/2.94 | | % 15.59/2.94 | | GROUND_INST: instantiating (12) with 0, all_128_2, all_65_0, % 15.59/2.94 | | c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, % 15.59/2.94 | | simplifying with (16), (58) gives: % 15.59/2.94 | | (62) all_128_2 = 0 % 15.59/2.94 | | % 15.59/2.94 | | GROUND_INST: instantiating (13) with 0, all_128_1, all_65_0, % 15.59/2.94 | | c_tptpcol_16_7738, c_tptp_8_968, simplifying with (39), (60) % 15.59/2.94 | | gives: % 15.59/2.94 | | (63) all_128_1 = 0 % 15.59/2.94 | | % 15.59/2.94 | | BETA: splitting (61) gives: % 15.59/2.94 | | % 15.59/2.94 | | Case 1: % 15.59/2.94 | | | % 15.59/2.94 | | | (64) ~ (all_128_1 = 0) % 15.59/2.94 | | | % 15.59/2.94 | | | REDUCE: (63), (64) imply: % 15.59/2.94 | | | (65) $false % 15.59/2.94 | | | % 15.59/2.94 | | | CLOSE: (65) is inconsistent. % 15.59/2.94 | | | % 15.59/2.94 | | Case 2: % 15.59/2.94 | | | % 15.59/2.94 | | | (66) ~ (all_128_2 = 0) | all_128_0 = 0 % 15.59/2.94 | | | % 15.59/2.94 | | | BETA: splitting (66) gives: % 15.59/2.94 | | | % 15.59/2.94 | | | Case 1: % 15.59/2.94 | | | | % 15.59/2.94 | | | | (67) ~ (all_128_2 = 0) % 15.59/2.94 | | | | % 15.59/2.94 | | | | REDUCE: (62), (67) imply: % 15.59/2.94 | | | | (68) $false % 15.59/2.94 | | | | % 15.59/2.94 | | | | CLOSE: (68) is inconsistent. % 15.59/2.94 | | | | % 15.59/2.94 | | | Case 2: % 15.59/2.94 | | | | % 15.59/2.94 | | | | (69) all_128_0 = 0 % 15.59/2.94 | | | | % 15.59/2.94 | | | | REDUCE: (59), (69) imply: % 15.59/2.94 | | | | (70) isa(all_118_0, c_tptpcol_16_7738) = 0 % 15.59/2.94 | | | | % 15.59/2.94 | | | | GROUND_INST: instantiating (7) with all_118_0, simplifying with (48), % 15.59/2.94 | | | | (70) gives: % 15.59/2.94 | | | | (71) tptpcol_16_7738(all_118_0) = 0 % 15.59/2.94 | | | | % 15.59/2.94 | | | | GROUND_INST: instantiating (11) with all_126_0, 0, all_118_0, % 15.59/2.94 | | | | simplifying with (56), (71) gives: % 15.59/2.94 | | | | (72) all_126_0 = 0 % 15.59/2.94 | | | | % 15.59/2.94 | | | | REDUCE: (55), (72) imply: % 15.59/2.94 | | | | (73) $false % 15.59/2.94 | | | | % 15.59/2.94 | | | | CLOSE: (73) is inconsistent. % 15.59/2.94 | | | | % 15.59/2.94 | | | End of split % 15.59/2.94 | | | % 15.59/2.94 | | End of split % 15.59/2.94 | | % 15.59/2.94 | End of split % 15.59/2.94 | % 15.59/2.94 End of proof % 15.59/2.94 % SZS output end Proof for theBenchmark % 15.59/2.94 % 15.59/2.94 2332ms %------------------------------------------------------------------------------