%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR070+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 : n012.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 21:37:10 EDT 2023 % Result : Theorem 10.62s 2.17s % Output : Proof 13.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n012.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Aug 28 13:21:54 EDT 2023 % 0.12/0.35 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.63 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.10/1.16 Prover 4: Preprocessing ... % 3.10/1.16 Prover 1: Preprocessing ... % 3.74/1.20 Prover 5: Preprocessing ... % 3.74/1.20 Prover 3: Preprocessing ... % 3.74/1.20 Prover 2: Preprocessing ... % 3.74/1.20 Prover 0: Preprocessing ... % 3.74/1.20 Prover 6: Preprocessing ... % 6.27/1.59 Prover 2: Proving ... % 6.27/1.61 Prover 5: Proving ... % 7.80/1.79 Prover 6: Constructing countermodel ... % 8.18/1.83 Prover 3: Constructing countermodel ... % 8.18/1.84 Prover 1: Constructing countermodel ... % 8.48/1.91 Prover 4: Constructing countermodel ... % 9.14/1.99 Prover 0: Proving ... % 10.62/2.16 Prover 3: proved (1527ms) % 10.62/2.16 % 10.62/2.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.62/2.17 % 10.62/2.17 Prover 6: stopped % 10.62/2.17 Prover 5: stopped % 10.62/2.17 Prover 0: stopped % 10.62/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.62/2.17 Prover 2: stopped % 10.62/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.62/2.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.62/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.62/2.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.42/2.25 Prover 11: Preprocessing ... % 11.42/2.25 Prover 13: Preprocessing ... % 11.42/2.26 Prover 8: Preprocessing ... % 11.42/2.28 Prover 10: Preprocessing ... % 11.42/2.28 Prover 7: Preprocessing ... % 12.14/2.37 Prover 10: Constructing countermodel ... % 12.14/2.38 Prover 7: Constructing countermodel ... % 12.48/2.42 Prover 13: Warning: ignoring some quantifiers % 12.88/2.45 Prover 1: Found proof (size 42) % 12.88/2.45 Prover 1: proved (1812ms) % 12.88/2.45 Prover 4: stopped % 12.88/2.45 Prover 10: stopped % 12.93/2.45 Prover 13: Constructing countermodel ... % 12.93/2.46 Prover 7: stopped % 12.93/2.47 Prover 13: stopped % 13.28/2.51 Prover 8: Warning: ignoring some quantifiers % 13.28/2.52 Prover 8: Constructing countermodel ... % 13.28/2.52 Prover 8: stopped % 13.28/2.53 Prover 11: Constructing countermodel ... % 13.28/2.55 Prover 11: stopped % 13.28/2.55 % 13.28/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.28/2.55 % 13.53/2.56 % SZS output start Proof for theBenchmark % 13.53/2.57 Assumptions after simplification: % 13.53/2.57 --------------------------------- % 13.53/2.57 % 13.53/2.57 (just10) % 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_7_819(v0, v1) = 0) | ~ $i(v1) | ~ % 13.53/2.59 $i(v0) | tptptypes_6_818(v0, v1) = 0) % 13.53/2.59 % 13.53/2.59 (just12) % 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_8_823(v0, v1) = 0) | ~ $i(v1) | ~ % 13.53/2.59 $i(v0) | tptptypes_7_819(v0, v1) = 0) % 13.53/2.59 % 13.53/2.59 (just14) % 13.53/2.59 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_9_824(v0, v1) = 0) | ~ $i(v1) | ~ % 13.53/2.59 $i(v0) | tptptypes_8_823(v0, v1) = 0) % 13.53/2.59 % 13.53/2.59 (just16) % 13.53/2.59 genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = 0 & % 13.53/2.59 $i(c_tptp_member2668_mt) & $i(c_tptp_spindlecollectormt) % 13.53/2.59 % 13.53/2.59 (just19) % 13.53/2.60 $i(c_tptpcol_16_8886) & $i(c_partiallytangible) & $i(c_orientation) & % 13.53/2.60 $i(c_orientationvector) & $i(c_tptp_member2668_mt) & ? [v0: any] : ? [v1: % 13.53/2.60 $i] : ? [v2: any] : (mtvisible(c_tptp_member2668_mt) = v0 & % 13.53/2.60 f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, % 13.53/2.60 c_partiallytangible) = v1 & tptptypes_9_824(v1, c_tptpcol_16_8886) = v2 & % 13.53/2.60 $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 13.53/2.60 % 13.53/2.60 (just44) % 13.53/2.60 $i(c_partiallytangible) & $i(c_orientation) & $i(c_orientationvector) & ? % 13.53/2.60 [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.60 c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 13.53/2.60 (isa(v1, v0) = 0) | ~ $i(v1) | % 13.53/2.60 subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1) % 13.53/2.60 = 0)) % 13.53/2.60 % 13.53/2.60 (just45) % 13.53/2.60 $i(c_partiallytangible) & $i(c_orientation) & $i(c_orientationvector) & ? % 13.53/2.60 [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.60 c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : ! [v2: % 13.53/2.60 int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ % 13.53/2.60 (v3 = 0) & % 13.53/2.60 subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1) % 13.53/2.60 = v3))) % 13.53/2.60 % 13.53/2.60 (just57) % 13.53/2.60 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) | % 13.53/2.60 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) % 13.53/2.60 & genlmt(v0, v1) = v3)) % 13.53/2.60 % 13.53/2.60 (just8) % 13.53/2.60 ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_6_818(v0, v1) = 0) | ~ $i(v1) | ~ % 13.53/2.60 $i(v0) | tptptypes_5_802(v0, v1) = 0) % 13.53/2.60 % 13.53/2.60 (query70) % 13.53/2.61 $i(c_tptpcol_16_8886) & $i(c_partiallytangible) & $i(c_orientation) & % 13.53/2.61 $i(c_orientationvector) & $i(c_tptp_spindlecollectormt) & ? [v0: $i] : ? % 13.53/2.61 [v1: int] : ( ~ (v1 = 0) & mtvisible(c_tptp_spindlecollectormt) = 0 & % 13.53/2.61 f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, % 13.53/2.61 c_partiallytangible) = v0 & tptptypes_5_802(v0, c_tptpcol_16_8886) = v1 & % 13.53/2.61 $i(v0)) % 13.53/2.61 % 13.53/2.61 (function-axioms) % 13.53/2.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 13.53/2.62 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 13.53/2.62 (natargument(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.53/2.62 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 13.53/2.62 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~ % 13.53/2.62 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0: % 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.53/2.62 : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & % 13.53/2.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.53/2.62 $i] : (v1 = v0 | ~ (orientation(v3, v2) = v1) | ~ (orientation(v3, v2) = % 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = % 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ % 13.53/2.62 (genlinverse(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.53/2.62 (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) & ! [v0: % 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.53/2.62 : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0: % 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.53/2.62 : (v1 = v0 | ~ (tptptypes_9_824(v3, v2) = v1) | ~ (tptptypes_9_824(v3, v2) = % 13.53/2.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.53/2.62 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_8_823(v3, v2) = v1) | ~ % 13.53/2.62 (tptptypes_8_823(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.53/2.62 (tptptypes_7_819(v3, v2) = v1) | ~ (tptptypes_7_819(v3, v2) = v0)) & ! % 13.53/2.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 13.53/2.62 $i] : (v1 = v0 | ~ (tptptypes_6_818(v3, v2) = v1) | ~ (tptptypes_6_818(v3, % 13.53/2.62 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.53/2.62 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_5_802(v3, v2) = v1) | ~ % 13.53/2.62 (tptptypes_5_802(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.53/2.62 (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0: % 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.53/2.62 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: % 13.53/2.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.53/2.62 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | % 13.53/2.62 ~ (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~ % 13.53/2.62 (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (firstordercollection(v2) = % 13.53/2.62 v1) | ~ (firstordercollection(v2) = v0)) & ! [v0: MultipleValueBool] : % 13.53/2.62 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 13.53/2.62 (subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v2) % 13.53/2.62 = v1) | ~ % 13.53/2.62 (subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v2) % 13.53/2.62 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.53/2.62 $i] : (v1 = v0 | ~ (spatialthing_localized(v2) = v1) | ~ % 13.53/2.62 (spatialthing_localized(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (orientationvector(v2) = % 13.53/2.62 v1) | ~ (orientationvector(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = % 13.53/2.62 v1) | ~ (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_16_8886(v2) = % 13.53/2.62 v1) | ~ (tptpcol_16_8886(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 13.53/2.62 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | % 13.53/2.62 ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 13.53/2.62 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ % 13.53/2.62 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.53/2.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 13.53/2.62 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = % 13.53/2.62 v0)) % 13.53/2.62 % 13.53/2.62 Further assumptions not needed in the proof: % 13.53/2.62 -------------------------------------------- % 13.53/2.62 just1, just11, just13, just15, just17, just18, just2, just20, just21, just22, % 13.53/2.62 just23, just24, just25, just26, just27, just28, just29, just3, just30, just31, % 13.53/2.62 just32, just33, just34, just35, just36, just37, just38, just39, just4, just40, % 13.53/2.62 just41, just42, just43, just46, just47, just48, just49, just5, just50, just51, % 13.53/2.62 just52, just53, just54, just55, just56, just58, just59, just6, just60, just61, % 13.53/2.62 just62, just63, just64, just65, just66, just67, just68, just69, just7, just70, % 13.53/2.62 just71, just72, just73, just74, just75, just76, just77, just78, just79, just9 % 13.53/2.62 % 13.53/2.62 Those formulas are unsatisfiable: % 13.53/2.62 --------------------------------- % 13.53/2.62 % 13.53/2.62 Begin of proof % 13.53/2.62 | % 13.53/2.62 | ALPHA: (just16) implies: % 13.53/2.62 | (1) genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = 0 % 13.53/2.62 | % 13.53/2.62 | ALPHA: (just19) implies: % 13.53/2.62 | (2) $i(c_tptp_member2668_mt) % 13.53/2.62 | (3) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 13.53/2.62 | (mtvisible(c_tptp_member2668_mt) = v0 & % 13.53/2.62 | f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.62 | c_orientation, c_partiallytangible) = v1 & tptptypes_9_824(v1, % 13.53/2.62 | c_tptpcol_16_8886) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 13.53/2.62 | % 13.53/2.62 | ALPHA: (just44) implies: % 13.53/2.62 | (4) ? [v0: $i] : % 13.53/2.62 | (f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.62 | c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : ( % 13.53/2.62 | ~ (isa(v1, v0) = 0) | ~ $i(v1) | % 13.53/2.62 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1) % 13.53/2.62 | = 0)) % 13.53/2.62 | % 13.53/2.62 | ALPHA: (just45) implies: % 13.53/2.62 | (5) ? [v0: $i] : % 13.53/2.62 | (f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.62 | c_orientation, c_partiallytangible) = v0 & $i(v0) & ! [v1: $i] : % 13.53/2.62 | ! [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3: % 13.53/2.62 | int] : ( ~ (v3 = 0) & % 13.53/2.62 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1) % 13.53/2.62 | = v3))) % 13.53/2.62 | % 13.53/2.62 | ALPHA: (query70) implies: % 13.53/2.63 | (6) $i(c_tptp_spindlecollectormt) % 13.53/2.63 | (7) $i(c_tptpcol_16_8886) % 13.53/2.63 | (8) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 13.53/2.63 | mtvisible(c_tptp_spindlecollectormt) = 0 & % 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = v0 & tptptypes_5_802(v0, % 13.53/2.63 | c_tptpcol_16_8886) = v1 & $i(v0)) % 13.53/2.63 | % 13.53/2.63 | ALPHA: (function-axioms) implies: % 13.53/2.63 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 13.53/2.63 | ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) % 13.53/2.63 | = v0)) % 13.53/2.63 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.53/2.63 | : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_5_802(v3, v2) = v1) | ~ % 13.53/2.63 | (tptptypes_5_802(v3, v2) = v0)) % 13.53/2.63 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.53/2.63 | (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = % 13.53/2.63 | v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = % 13.53/2.63 | v0)) % 13.53/2.63 | % 13.53/2.63 | DELTA: instantiating (8) with fresh symbols all_64_0, all_64_1 gives: % 13.53/2.63 | (12) ~ (all_64_0 = 0) & mtvisible(c_tptp_spindlecollectormt) = 0 & % 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_64_1 & % 13.53/2.63 | tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = all_64_0 & $i(all_64_1) % 13.53/2.63 | % 13.53/2.63 | ALPHA: (12) implies: % 13.53/2.63 | (13) ~ (all_64_0 = 0) % 13.53/2.63 | (14) tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = all_64_0 % 13.53/2.63 | (15) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_64_1 % 13.53/2.63 | (16) mtvisible(c_tptp_spindlecollectormt) = 0 % 13.53/2.63 | % 13.53/2.63 | DELTA: instantiating (4) with fresh symbol all_66_0 gives: % 13.53/2.63 | (17) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_66_0 & $i(all_66_0) & ! % 13.53/2.63 | [v0: $i] : ( ~ (isa(v0, all_66_0) = 0) | ~ $i(v0) | % 13.53/2.63 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0) % 13.53/2.63 | = 0) % 13.53/2.63 | % 13.53/2.63 | ALPHA: (17) implies: % 13.53/2.63 | (18) $i(all_66_0) % 13.53/2.63 | (19) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_66_0 % 13.53/2.63 | % 13.53/2.63 | DELTA: instantiating (3) with fresh symbols all_69_0, all_69_1, all_69_2 % 13.53/2.63 | gives: % 13.53/2.63 | (20) mtvisible(c_tptp_member2668_mt) = all_69_2 & % 13.53/2.63 | f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_69_1 & % 13.53/2.63 | tptptypes_9_824(all_69_1, c_tptpcol_16_8886) = all_69_0 & $i(all_69_1) % 13.53/2.63 | & ( ~ (all_69_2 = 0) | all_69_0 = 0) % 13.53/2.63 | % 13.53/2.63 | ALPHA: (20) implies: % 13.53/2.63 | (21) tptptypes_9_824(all_69_1, c_tptpcol_16_8886) = all_69_0 % 13.53/2.63 | (22) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_69_1 % 13.53/2.63 | (23) mtvisible(c_tptp_member2668_mt) = all_69_2 % 13.53/2.63 | (24) ~ (all_69_2 = 0) | all_69_0 = 0 % 13.53/2.63 | % 13.53/2.63 | DELTA: instantiating (5) with fresh symbol all_71_0 gives: % 13.53/2.63 | (25) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.63 | c_orientation, c_partiallytangible) = all_71_0 & $i(all_71_0) & ! % 13.53/2.63 | [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, all_71_0) = v1) | ~ % 13.53/2.63 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 13.53/2.63 | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0) % 13.53/2.63 | = v2)) % 13.53/2.63 | % 13.53/2.63 | ALPHA: (25) implies: % 13.53/2.64 | (26) f_subcollectionofwithrelationfromtypefn(c_orientationvector, % 13.53/2.64 | c_orientation, c_partiallytangible) = all_71_0 % 13.53/2.64 | % 13.53/2.64 | GROUND_INST: instantiating (11) with all_66_0, all_69_1, c_partiallytangible, % 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (19), (22) % 13.53/2.64 | gives: % 13.53/2.64 | (27) all_69_1 = all_66_0 % 13.53/2.64 | % 13.53/2.64 | GROUND_INST: instantiating (11) with all_69_1, all_71_0, c_partiallytangible, % 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (22), (26) % 13.53/2.64 | gives: % 13.53/2.64 | (28) all_71_0 = all_69_1 % 13.53/2.64 | % 13.53/2.64 | GROUND_INST: instantiating (11) with all_64_1, all_71_0, c_partiallytangible, % 13.53/2.64 | c_orientation, c_orientationvector, simplifying with (15), (26) % 13.53/2.64 | gives: % 13.53/2.64 | (29) all_71_0 = all_64_1 % 13.53/2.64 | % 13.53/2.64 | COMBINE_EQS: (28), (29) imply: % 13.53/2.64 | (30) all_69_1 = all_64_1 % 13.53/2.64 | % 13.53/2.64 | SIMP: (30) implies: % 13.53/2.64 | (31) all_69_1 = all_64_1 % 13.53/2.64 | % 13.53/2.64 | COMBINE_EQS: (27), (31) imply: % 13.53/2.64 | (32) all_66_0 = all_64_1 % 13.53/2.64 | % 13.53/2.64 | SIMP: (32) implies: % 13.53/2.64 | (33) all_66_0 = all_64_1 % 13.53/2.64 | % 13.53/2.64 | REDUCE: (21), (31) imply: % 13.53/2.64 | (34) tptptypes_9_824(all_64_1, c_tptpcol_16_8886) = all_69_0 % 13.53/2.64 | % 13.53/2.64 | REDUCE: (18), (33) imply: % 13.53/2.64 | (35) $i(all_64_1) % 13.53/2.64 | % 13.53/2.64 | GROUND_INST: instantiating (just57) with c_tptp_spindlecollectormt, % 13.53/2.64 | c_tptp_member2668_mt, all_69_2, simplifying with (2), (6), (16), % 13.53/2.64 | (23) gives: % 13.53/2.64 | (36) all_69_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 13.53/2.64 | genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = v0) % 13.53/2.64 | % 13.53/2.64 | BETA: splitting (36) gives: % 13.53/2.64 | % 13.53/2.64 | Case 1: % 13.53/2.64 | | % 13.53/2.64 | | (37) all_69_2 = 0 % 13.53/2.64 | | % 13.53/2.64 | | BETA: splitting (24) gives: % 13.53/2.64 | | % 13.53/2.64 | | Case 1: % 13.53/2.64 | | | % 13.53/2.64 | | | (38) ~ (all_69_2 = 0) % 13.53/2.64 | | | % 13.53/2.64 | | | REDUCE: (37), (38) imply: % 13.53/2.64 | | | (39) $false % 13.53/2.64 | | | % 13.53/2.64 | | | CLOSE: (39) is inconsistent. % 13.53/2.64 | | | % 13.53/2.64 | | Case 2: % 13.53/2.64 | | | % 13.53/2.64 | | | (40) all_69_0 = 0 % 13.53/2.64 | | | % 13.53/2.64 | | | REDUCE: (34), (40) imply: % 13.53/2.64 | | | (41) tptptypes_9_824(all_64_1, c_tptpcol_16_8886) = 0 % 13.53/2.64 | | | % 13.53/2.64 | | | GROUND_INST: instantiating (just14) with all_64_1, c_tptpcol_16_8886, % 13.53/2.64 | | | simplifying with (7), (35), (41) gives: % 13.53/2.64 | | | (42) tptptypes_8_823(all_64_1, c_tptpcol_16_8886) = 0 % 13.53/2.64 | | | % 13.53/2.64 | | | GROUND_INST: instantiating (just12) with all_64_1, c_tptpcol_16_8886, % 13.53/2.64 | | | simplifying with (7), (35), (42) gives: % 13.99/2.64 | | | (43) tptptypes_7_819(all_64_1, c_tptpcol_16_8886) = 0 % 13.99/2.64 | | | % 13.99/2.64 | | | GROUND_INST: instantiating (just10) with all_64_1, c_tptpcol_16_8886, % 13.99/2.64 | | | simplifying with (7), (35), (43) gives: % 13.99/2.64 | | | (44) tptptypes_6_818(all_64_1, c_tptpcol_16_8886) = 0 % 13.99/2.64 | | | % 13.99/2.64 | | | GROUND_INST: instantiating (just8) with all_64_1, c_tptpcol_16_8886, % 13.99/2.64 | | | simplifying with (7), (35), (44) gives: % 13.99/2.64 | | | (45) tptptypes_5_802(all_64_1, c_tptpcol_16_8886) = 0 % 13.99/2.64 | | | % 13.99/2.64 | | | GROUND_INST: instantiating (10) with all_64_0, 0, c_tptpcol_16_8886, % 13.99/2.64 | | | all_64_1, simplifying with (14), (45) gives: % 13.99/2.65 | | | (46) all_64_0 = 0 % 13.99/2.65 | | | % 13.99/2.65 | | | REDUCE: (13), (46) imply: % 13.99/2.65 | | | (47) $false % 13.99/2.65 | | | % 13.99/2.65 | | | CLOSE: (47) is inconsistent. % 13.99/2.65 | | | % 13.99/2.65 | | End of split % 13.99/2.65 | | % 13.99/2.65 | Case 2: % 13.99/2.65 | | % 13.99/2.65 | | (48) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptp_spindlecollectormt, % 13.99/2.65 | | c_tptp_member2668_mt) = v0) % 13.99/2.65 | | % 13.99/2.65 | | DELTA: instantiating (48) with fresh symbol all_88_0 gives: % 13.99/2.65 | | (49) ~ (all_88_0 = 0) & genlmt(c_tptp_spindlecollectormt, % 13.99/2.65 | | c_tptp_member2668_mt) = all_88_0 % 13.99/2.65 | | % 13.99/2.65 | | ALPHA: (49) implies: % 13.99/2.65 | | (50) ~ (all_88_0 = 0) % 13.99/2.65 | | (51) genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = all_88_0 % 13.99/2.65 | | % 13.99/2.65 | | GROUND_INST: instantiating (9) with 0, all_88_0, c_tptp_member2668_mt, % 13.99/2.65 | | c_tptp_spindlecollectormt, simplifying with (1), (51) gives: % 13.99/2.65 | | (52) all_88_0 = 0 % 13.99/2.65 | | % 13.99/2.65 | | REDUCE: (50), (52) imply: % 13.99/2.65 | | (53) $false % 13.99/2.65 | | % 13.99/2.65 | | CLOSE: (53) is inconsistent. % 13.99/2.65 | | % 13.99/2.65 | End of split % 13.99/2.65 | % 13.99/2.65 End of proof % 13.99/2.65 % SZS output end Proof for theBenchmark % 13.99/2.65 % 13.99/2.65 2032ms %------------------------------------------------------------------------------