%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR056+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 : n026.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 21:36:56 EDT 2023 % Result : Theorem 16.88s 3.22s % Output : Proof 20.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : CSR056+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.33 % Computer : n026.cluster.edu % 0.10/0.33 % Model : x86_64 x86_64 % 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.33 % Memory : 8042.1875MB % 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.33 % CPULimit : 300 % 0.10/0.33 % WCLimit : 300 % 0.10/0.33 % DateTime : Mon Aug 28 07:56:34 EDT 2023 % 0.10/0.33 % CPUTime : % 0.18/0.62 ________ _____ % 0.18/0.62 ___ __ \_________(_)________________________________ % 0.18/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.62 % 0.18/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.62 (2023-06-19) % 0.18/0.62 % 0.18/0.62 (c) Philipp Rümmer, 2009-2023 % 0.18/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.62 Amanda Stjerna. % 0.18/0.62 Free software under BSD-3-Clause. % 0.18/0.62 % 0.18/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.62 % 0.18/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.64 Running up to 7 provers in parallel. % 0.18/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.28/1.30 Prover 1: Preprocessing ... % 3.28/1.32 Prover 4: Preprocessing ... % 3.78/1.37 Prover 5: Preprocessing ... % 3.78/1.37 Prover 2: Preprocessing ... % 3.78/1.37 Prover 6: Preprocessing ... % 3.78/1.37 Prover 0: Preprocessing ... % 3.78/1.38 Prover 3: Preprocessing ... % 7.44/1.92 Prover 2: Proving ... % 8.36/1.98 Prover 5: Proving ... % 9.05/2.15 Prover 1: Warning: ignoring some quantifiers % 9.05/2.18 Prover 3: Warning: ignoring some quantifiers % 9.05/2.20 Prover 1: Constructing countermodel ... % 9.05/2.21 Prover 3: Constructing countermodel ... % 9.05/2.27 Prover 6: Proving ... % 11.30/2.42 Prover 4: Constructing countermodel ... % 11.77/2.47 Prover 0: Proving ... % 13.39/2.72 Prover 3: gave up % 13.39/2.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 13.78/2.83 Prover 7: Preprocessing ... % 15.43/3.07 Prover 7: Constructing countermodel ... % 15.43/3.10 Prover 1: gave up % 16.02/3.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 16.88/3.21 Prover 2: proved (2565ms) % 16.88/3.22 % 16.88/3.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.88/3.22 % 16.88/3.22 Prover 5: stopped % 16.88/3.22 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 16.88/3.22 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.88/3.22 Prover 0: stopped % 16.88/3.22 Prover 6: stopped % 16.88/3.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.88/3.23 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 16.88/3.24 Prover 8: Preprocessing ... % 16.88/3.29 Prover 10: Preprocessing ... % 17.50/3.30 Prover 13: Preprocessing ... % 17.50/3.33 Prover 11: Preprocessing ... % 17.50/3.35 Prover 16: Preprocessing ... % 18.16/3.40 Prover 10: Constructing countermodel ... % 18.16/3.41 Prover 13: Warning: ignoring some quantifiers % 18.16/3.42 Prover 13: Constructing countermodel ... % 19.21/3.54 Prover 4: Found proof (size 61) % 19.21/3.54 Prover 4: proved (2887ms) % 19.21/3.54 Prover 7: stopped % 19.21/3.54 Prover 10: stopped % 19.21/3.55 Prover 13: stopped % 19.21/3.55 Prover 16: Warning: ignoring some quantifiers % 19.21/3.56 Prover 16: Constructing countermodel ... % 19.21/3.58 Prover 16: stopped % 19.21/3.59 Prover 8: Warning: ignoring some quantifiers % 19.21/3.61 Prover 8: Constructing countermodel ... % 19.83/3.63 Prover 8: stopped % 19.83/3.69 Prover 11: Constructing countermodel ... % 20.25/3.73 Prover 11: stopped % 20.25/3.73 % 20.25/3.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 20.25/3.73 % 20.25/3.76 % SZS output start Proof for theBenchmark % 20.25/3.77 Assumptions after simplification: % 20.25/3.77 --------------------------------- % 20.25/3.77 % 20.25/3.77 (just10) % 20.25/3.82 $i(n_232) & $i(c_tptp_spindleheadmt) & ? [v0: any] : ? [v1: $i] : % 20.25/3.82 (mtvisible(c_tptp_spindleheadmt) = v0 & f_tptpquantityfn_14(n_232) = v1 & % 20.25/3.82 $i(v1) & ! [v2: $i] : ! [v3: int] : ( ~ (v0 = 0) | v3 = 0 | ~ % 20.25/3.82 (tptpofobject(v2, v1) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & % 20.25/3.82 supplies(v2) = v4)) & ! [v2: $i] : ( ~ (v0 = 0) | ~ (supplies(v2) = 0) % 20.25/3.82 | ~ $i(v2) | tptpofobject(v2, v1) = 0)) % 20.25/3.82 % 20.25/3.82 (just11) % 20.25/3.82 $i(c_tptpofobject) & $i(n_232) & $i(c_tptp_spindleheadmt) & $i(c_supplies) & % 20.25/3.82 ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 20.25/3.82 (relationallinstance(c_tptpofobject, c_supplies, v1) = v2 & % 20.25/3.82 mtvisible(c_tptp_spindleheadmt) = v0 & f_tptpquantityfn_14(n_232) = v1 & % 20.25/3.82 $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 20.25/3.82 % 20.25/3.82 (just12) % 20.25/3.82 $i(c_tptpartsupplies) & $i(c_cyclistsmt) & ? [v0: any] : ? [v1: any] : % 20.25/3.82 (mtvisible(c_cyclistsmt) = v0 & artsupplies(c_tptpartsupplies) = v1 & ( ~ (v0 % 20.25/3.82 = 0) | v1 = 0)) % 20.25/3.82 % 20.25/3.83 (just2) % 20.25/3.83 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (supplies(v0) = v1) | ~ $i(v0) | ? % 20.25/3.83 [v2: int] : ( ~ (v2 = 0) & artsupplies(v0) = v2)) & ! [v0: $i] : ( ~ % 20.25/3.83 (artsupplies(v0) = 0) | ~ $i(v0) | supplies(v0) = 0) % 20.25/3.83 % 20.25/3.83 (just47) % 20.25/3.83 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 20.25/3.83 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~ % 20.25/3.83 (v2 = 0) | v3 = 0))) % 20.25/3.83 % 20.25/3.83 (just6) % 20.25/3.83 genlmt(c_cyclistsmt, c_calendarsmt) = 0 & $i(c_cyclistsmt) & $i(c_calendarsmt) % 20.25/3.83 % 20.25/3.83 (just8) % 20.25/3.83 genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & $i(c_tptp_spindleheadmt) & % 20.25/3.83 $i(c_cyclistsmt) % 20.25/3.83 % 20.25/3.83 (just9) % 20.25/3.83 genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt) = 0 & % 20.25/3.83 $i(c_tptp_member3717_mt) & $i(c_tptp_spindleheadmt) % 20.25/3.83 % 20.25/3.83 (query56) % 20.25/3.84 mtvisible(c_tptp_member3717_mt) = 0 & $i(c_tptpartsupplies) & % 20.25/3.84 $i(c_tptp_member3717_mt) & ! [v0: $i] : ( ~ (tptpofobject(c_tptpartsupplies, % 20.25/3.84 v0) = 0) | ~ $i(v0)) % 20.25/3.84 % 20.25/3.84 (function-axioms) % 20.25/3.85 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 20.25/3.85 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 20.25/3.85 (natargument(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 20.25/3.85 (relationallinstance(v4, v3, v2) = v1) | ~ (relationallinstance(v4, v3, v2) % 20.25/3.85 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.25/3.85 $i] : ! [v3: $i] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ % 20.25/3.85 (natfunction(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.25/3.85 (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0: % 20.25/3.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 20.25/3.85 : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & % 20.25/3.85 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 20.25/3.85 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = % 20.25/3.85 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.25/3.85 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 20.25/3.85 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.25/3.85 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptpofobject(v3, v2) = v1) | ~ % 20.25/3.85 (tptpofobject(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, % 20.25/3.85 v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 20.25/3.85 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, % 20.25/3.85 v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 20.25/3.85 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (microtheory(v2) = v1) | % 20.25/3.85 ~ (microtheory(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~ % 20.25/3.85 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 20.25/3.85 : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = v1) | ~ % 20.25/3.85 (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (tptpquantity(v2) = v1) | % 20.25/3.85 ~ (tptpquantity(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ % 20.25/3.85 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 20.25/3.85 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ % 20.25/3.85 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ % 20.25/3.85 (mtvisible(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 20.25/3.85 ~ (f_tptpquantityfn_14(v2) = v1) | ~ (f_tptpquantityfn_14(v2) = v0)) & ! % 20.25/3.85 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 20.25/3.85 | ~ (transitivebinarypredicate(v2) = v1) | ~ % 20.25/3.85 (transitivebinarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (supplies(v2) = v1) | ~ % 20.25/3.85 (supplies(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.25/3.85 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (artsupplies(v2) = v1) | ~ % 20.25/3.85 (artsupplies(v2) = v0)) % 20.25/3.85 % 20.25/3.85 Further assumptions not needed in the proof: % 20.25/3.85 -------------------------------------------- % 20.25/3.86 just1, just13, just14, just15, just16, just17, just18, just19, just20, just21, % 20.25/3.86 just22, just23, just24, just25, just26, just27, just28, just29, just3, just30, % 20.25/3.86 just31, just32, just33, just34, just35, just36, just37, just38, just39, just4, % 20.25/3.86 just40, just41, just42, just43, just44, just45, just46, just48, just49, just5, % 20.25/3.86 just50, just51, just52, just53, just54, just55, just56, just57, just58, just59, % 20.25/3.86 just60, just61, just62, just63, just64, just65, just66, just67, just68, just7 % 20.25/3.86 % 20.25/3.86 Those formulas are unsatisfiable: % 20.25/3.86 --------------------------------- % 20.25/3.86 % 20.25/3.86 Begin of proof % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just2) implies: % 20.25/3.86 | (1) ! [v0: $i] : ( ~ (artsupplies(v0) = 0) | ~ $i(v0) | supplies(v0) = 0) % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just6) implies: % 20.25/3.86 | (2) $i(c_calendarsmt) % 20.25/3.86 | (3) genlmt(c_cyclistsmt, c_calendarsmt) = 0 % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just8) implies: % 20.25/3.86 | (4) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just9) implies: % 20.25/3.86 | (5) genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt) = 0 % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just10) implies: % 20.25/3.86 | (6) ? [v0: any] : ? [v1: $i] : (mtvisible(c_tptp_spindleheadmt) = v0 & % 20.25/3.86 | f_tptpquantityfn_14(n_232) = v1 & $i(v1) & ! [v2: $i] : ! [v3: int] % 20.25/3.86 | : ( ~ (v0 = 0) | v3 = 0 | ~ (tptpofobject(v2, v1) = v3) | ~ $i(v2) % 20.25/3.86 | | ? [v4: int] : ( ~ (v4 = 0) & supplies(v2) = v4)) & ! [v2: $i] : % 20.25/3.86 | ( ~ (v0 = 0) | ~ (supplies(v2) = 0) | ~ $i(v2) | tptpofobject(v2, % 20.25/3.86 | v1) = 0)) % 20.25/3.86 | % 20.25/3.86 | ALPHA: (just11) implies: % 20.25/3.87 | (7) $i(c_tptp_spindleheadmt) % 20.25/3.87 | (8) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 20.25/3.87 | (relationallinstance(c_tptpofobject, c_supplies, v1) = v2 & % 20.25/3.87 | mtvisible(c_tptp_spindleheadmt) = v0 & f_tptpquantityfn_14(n_232) = % 20.25/3.87 | v1 & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 20.25/3.87 | % 20.25/3.87 | ALPHA: (just12) implies: % 20.25/3.87 | (9) $i(c_cyclistsmt) % 20.25/3.87 | (10) ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0 & % 20.25/3.87 | artsupplies(c_tptpartsupplies) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 20.25/3.87 | % 20.25/3.87 | ALPHA: (query56) implies: % 20.25/3.87 | (11) $i(c_tptp_member3717_mt) % 20.25/3.87 | (12) $i(c_tptpartsupplies) % 20.25/3.87 | (13) mtvisible(c_tptp_member3717_mt) = 0 % 20.25/3.87 | (14) ! [v0: $i] : ( ~ (tptpofobject(c_tptpartsupplies, v0) = 0) | ~ % 20.25/3.87 | $i(v0)) % 20.25/3.87 | % 20.25/3.87 | ALPHA: (function-axioms) implies: % 20.25/3.87 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 20.25/3.87 | (f_tptpquantityfn_14(v2) = v1) | ~ (f_tptpquantityfn_14(v2) = v0)) % 20.25/3.87 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.25/3.87 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 20.25/3.87 | % 20.25/3.87 | DELTA: instantiating (10) with fresh symbols all_60_0, all_60_1 gives: % 20.25/3.87 | (17) mtvisible(c_cyclistsmt) = all_60_1 & artsupplies(c_tptpartsupplies) = % 20.25/3.87 | all_60_0 & ( ~ (all_60_1 = 0) | all_60_0 = 0) % 20.25/3.87 | % 20.25/3.87 | ALPHA: (17) implies: % 20.25/3.87 | (18) artsupplies(c_tptpartsupplies) = all_60_0 % 20.25/3.88 | (19) mtvisible(c_cyclistsmt) = all_60_1 % 20.25/3.88 | (20) ~ (all_60_1 = 0) | all_60_0 = 0 % 20.25/3.88 | % 20.25/3.88 | DELTA: instantiating (8) with fresh symbols all_62_0, all_62_1, all_62_2 % 20.25/3.88 | gives: % 20.25/3.88 | (21) relationallinstance(c_tptpofobject, c_supplies, all_62_1) = all_62_0 & % 20.25/3.88 | mtvisible(c_tptp_spindleheadmt) = all_62_2 & % 20.25/3.88 | f_tptpquantityfn_14(n_232) = all_62_1 & $i(all_62_1) & ( ~ (all_62_2 = % 20.25/3.88 | 0) | all_62_0 = 0) % 20.25/3.88 | % 20.25/3.88 | ALPHA: (21) implies: % 20.25/3.88 | (22) f_tptpquantityfn_14(n_232) = all_62_1 % 20.25/3.88 | (23) mtvisible(c_tptp_spindleheadmt) = all_62_2 % 20.25/3.88 | % 20.25/3.88 | DELTA: instantiating (6) with fresh symbols all_64_0, all_64_1 gives: % 20.25/3.88 | (24) mtvisible(c_tptp_spindleheadmt) = all_64_1 & % 20.25/3.88 | f_tptpquantityfn_14(n_232) = all_64_0 & $i(all_64_0) & ! [v0: $i] : % 20.25/3.88 | ! [v1: int] : ( ~ (all_64_1 = 0) | v1 = 0 | ~ (tptpofobject(v0, % 20.25/3.88 | all_64_0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 20.25/3.88 | supplies(v0) = v2)) & ! [v0: $i] : ( ~ (all_64_1 = 0) | ~ % 20.25/3.88 | (supplies(v0) = 0) | ~ $i(v0) | tptpofobject(v0, all_64_0) = 0) % 20.25/3.88 | % 20.25/3.88 | ALPHA: (24) implies: % 20.25/3.88 | (25) $i(all_64_0) % 20.25/3.88 | (26) f_tptpquantityfn_14(n_232) = all_64_0 % 20.25/3.88 | (27) mtvisible(c_tptp_spindleheadmt) = all_64_1 % 20.25/3.88 | (28) ! [v0: $i] : ( ~ (all_64_1 = 0) | ~ (supplies(v0) = 0) | ~ $i(v0) | % 20.25/3.88 | tptpofobject(v0, all_64_0) = 0) % 20.25/3.88 | % 20.25/3.88 | GROUND_INST: instantiating (15) with all_62_1, all_64_0, n_232, simplifying % 20.25/3.88 | with (22), (26) gives: % 20.25/3.88 | (29) all_64_0 = all_62_1 % 20.25/3.88 | % 20.25/3.89 | GROUND_INST: instantiating (16) with all_62_2, all_64_1, c_tptp_spindleheadmt, % 20.25/3.89 | simplifying with (23), (27) gives: % 20.25/3.89 | (30) all_64_1 = all_62_2 % 20.25/3.89 | % 20.25/3.89 | REDUCE: (25), (29) imply: % 20.25/3.89 | (31) $i(all_62_1) % 20.25/3.89 | % 20.25/3.89 | GROUND_INST: instantiating (just47) with c_cyclistsmt, c_calendarsmt, % 20.25/3.89 | simplifying with (2), (3), (9) gives: % 20.25/3.89 | (32) ? [v0: any] : ? [v1: any] : (mtvisible(c_cyclistsmt) = v0 & % 20.25/3.89 | mtvisible(c_calendarsmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 20.25/3.89 | % 20.25/3.89 | GROUND_INST: instantiating (just47) with c_tptp_spindleheadmt, c_cyclistsmt, % 20.25/3.89 | simplifying with (4), (7), (9) gives: % 20.25/3.89 | (33) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 & % 20.25/3.89 | mtvisible(c_cyclistsmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 20.25/3.89 | % 20.25/3.89 | GROUND_INST: instantiating (just47) with c_tptp_member3717_mt, % 20.25/3.89 | c_tptp_spindleheadmt, simplifying with (5), (7), (11) gives: % 20.25/3.89 | (34) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3717_mt) = v0 & % 20.25/3.89 | mtvisible(c_tptp_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 20.25/3.89 | % 20.25/3.89 | DELTA: instantiating (32) with fresh symbols all_77_0, all_77_1 gives: % 20.25/3.89 | (35) mtvisible(c_cyclistsmt) = all_77_1 & mtvisible(c_calendarsmt) = % 20.25/3.89 | all_77_0 & ( ~ (all_77_1 = 0) | all_77_0 = 0) % 20.25/3.89 | % 20.25/3.89 | ALPHA: (35) implies: % 20.25/3.89 | (36) mtvisible(c_cyclistsmt) = all_77_1 % 20.25/3.89 | % 20.25/3.89 | DELTA: instantiating (34) with fresh symbols all_83_0, all_83_1 gives: % 20.25/3.89 | (37) mtvisible(c_tptp_member3717_mt) = all_83_1 & % 20.25/3.89 | mtvisible(c_tptp_spindleheadmt) = all_83_0 & ( ~ (all_83_1 = 0) | % 20.25/3.89 | all_83_0 = 0) % 20.25/3.89 | % 20.25/3.89 | ALPHA: (37) implies: % 20.25/3.89 | (38) mtvisible(c_tptp_spindleheadmt) = all_83_0 % 20.25/3.89 | (39) mtvisible(c_tptp_member3717_mt) = all_83_1 % 20.25/3.89 | (40) ~ (all_83_1 = 0) | all_83_0 = 0 % 20.25/3.89 | % 20.25/3.89 | DELTA: instantiating (33) with fresh symbols all_85_0, all_85_1 gives: % 20.25/3.90 | (41) mtvisible(c_tptp_spindleheadmt) = all_85_1 & mtvisible(c_cyclistsmt) = % 20.25/3.90 | all_85_0 & ( ~ (all_85_1 = 0) | all_85_0 = 0) % 20.25/3.90 | % 20.25/3.90 | ALPHA: (41) implies: % 20.25/3.90 | (42) mtvisible(c_cyclistsmt) = all_85_0 % 20.25/3.90 | (43) mtvisible(c_tptp_spindleheadmt) = all_85_1 % 20.25/3.90 | (44) ~ (all_85_1 = 0) | all_85_0 = 0 % 20.25/3.90 | % 20.25/3.90 | GROUND_INST: instantiating (16) with all_60_1, all_85_0, c_cyclistsmt, % 20.25/3.90 | simplifying with (19), (42) gives: % 20.25/3.90 | (45) all_85_0 = all_60_1 % 20.25/3.90 | % 20.25/3.90 | GROUND_INST: instantiating (16) with all_77_1, all_85_0, c_cyclistsmt, % 20.25/3.90 | simplifying with (36), (42) gives: % 20.25/3.90 | (46) all_85_0 = all_77_1 % 20.25/3.90 | % 20.25/3.90 | GROUND_INST: instantiating (16) with all_62_2, all_85_1, c_tptp_spindleheadmt, % 20.25/3.90 | simplifying with (23), (43) gives: % 20.25/3.90 | (47) all_85_1 = all_62_2 % 20.25/3.90 | % 20.25/3.90 | GROUND_INST: instantiating (16) with all_83_0, all_85_1, c_tptp_spindleheadmt, % 20.25/3.90 | simplifying with (38), (43) gives: % 20.25/3.90 | (48) all_85_1 = all_83_0 % 20.25/3.90 | % 20.25/3.90 | GROUND_INST: instantiating (16) with 0, all_83_1, c_tptp_member3717_mt, % 20.25/3.90 | simplifying with (13), (39) gives: % 20.25/3.90 | (49) all_83_1 = 0 % 20.25/3.90 | % 20.25/3.90 | COMBINE_EQS: (45), (46) imply: % 20.25/3.90 | (50) all_77_1 = all_60_1 % 20.25/3.90 | % 20.25/3.90 | COMBINE_EQS: (47), (48) imply: % 20.25/3.90 | (51) all_83_0 = all_62_2 % 20.25/3.90 | % 20.25/3.90 | SIMP: (51) implies: % 20.25/3.90 | (52) all_83_0 = all_62_2 % 20.25/3.90 | % 20.25/3.90 | BETA: splitting (40) gives: % 20.25/3.90 | % 20.25/3.90 | Case 1: % 20.25/3.90 | | % 20.25/3.90 | | (53) ~ (all_83_1 = 0) % 20.25/3.90 | | % 20.25/3.90 | | REDUCE: (49), (53) imply: % 20.25/3.90 | | (54) $false % 20.25/3.91 | | % 20.25/3.91 | | CLOSE: (54) is inconsistent. % 20.25/3.91 | | % 20.25/3.91 | Case 2: % 20.25/3.91 | | % 20.25/3.91 | | (55) all_83_0 = 0 % 20.25/3.91 | | % 20.25/3.91 | | COMBINE_EQS: (52), (55) imply: % 20.25/3.91 | | (56) all_62_2 = 0 % 20.25/3.91 | | % 20.25/3.91 | | COMBINE_EQS: (30), (56) imply: % 20.25/3.91 | | (57) all_64_1 = 0 % 20.25/3.91 | | % 20.25/3.91 | | COMBINE_EQS: (47), (56) imply: % 20.25/3.91 | | (58) all_85_1 = 0 % 20.25/3.91 | | % 20.25/3.91 | | BETA: splitting (44) gives: % 20.25/3.91 | | % 20.25/3.91 | | Case 1: % 20.25/3.91 | | | % 20.25/3.91 | | | (59) ~ (all_85_1 = 0) % 20.25/3.91 | | | % 20.25/3.91 | | | REDUCE: (58), (59) imply: % 20.25/3.91 | | | (60) $false % 20.25/3.91 | | | % 20.25/3.91 | | | CLOSE: (60) is inconsistent. % 20.25/3.91 | | | % 20.25/3.91 | | Case 2: % 20.25/3.91 | | | % 20.25/3.91 | | | (61) all_85_0 = 0 % 20.25/3.91 | | | % 20.25/3.91 | | | COMBINE_EQS: (45), (61) imply: % 20.25/3.91 | | | (62) all_60_1 = 0 % 20.25/3.91 | | | % 20.25/3.91 | | | BETA: splitting (20) gives: % 20.25/3.91 | | | % 20.25/3.91 | | | Case 1: % 20.25/3.91 | | | | % 20.25/3.91 | | | | (63) ~ (all_60_1 = 0) % 20.25/3.91 | | | | % 20.25/3.91 | | | | REDUCE: (62), (63) imply: % 20.25/3.91 | | | | (64) $false % 20.25/3.91 | | | | % 20.25/3.91 | | | | CLOSE: (64) is inconsistent. % 20.25/3.91 | | | | % 20.25/3.91 | | | Case 2: % 20.25/3.91 | | | | % 20.25/3.91 | | | | (65) all_60_0 = 0 % 20.25/3.91 | | | | % 20.25/3.91 | | | | REDUCE: (18), (65) imply: % 20.25/3.91 | | | | (66) artsupplies(c_tptpartsupplies) = 0 % 20.25/3.91 | | | | % 20.25/3.91 | | | | GROUND_INST: instantiating (1) with c_tptpartsupplies, simplifying with % 20.25/3.91 | | | | (12), (66) gives: % 20.25/3.91 | | | | (67) supplies(c_tptpartsupplies) = 0 % 20.25/3.91 | | | | % 20.25/3.91 | | | | GROUND_INST: instantiating (28) with c_tptpartsupplies, simplifying with % 20.25/3.91 | | | | (12), (67) gives: % 20.25/3.91 | | | | (68) ~ (all_64_1 = 0) | tptpofobject(c_tptpartsupplies, all_64_0) = % 20.25/3.91 | | | | 0 % 20.25/3.91 | | | | % 20.25/3.91 | | | | BETA: splitting (68) gives: % 20.25/3.91 | | | | % 20.25/3.91 | | | | Case 1: % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | (69) tptpofobject(c_tptpartsupplies, all_64_0) = 0 % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | REDUCE: (29), (69) imply: % 20.25/3.91 | | | | | (70) tptpofobject(c_tptpartsupplies, all_62_1) = 0 % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | GROUND_INST: instantiating (14) with all_62_1, simplifying with (31), % 20.25/3.91 | | | | | (70) gives: % 20.25/3.91 | | | | | (71) $false % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | CLOSE: (71) is inconsistent. % 20.25/3.91 | | | | | % 20.25/3.91 | | | | Case 2: % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | (72) ~ (all_64_1 = 0) % 20.25/3.91 | | | | | % 20.25/3.91 | | | | | REDUCE: (57), (72) imply: % 20.25/3.92 | | | | | (73) $false % 20.25/3.92 | | | | | % 20.25/3.92 | | | | | CLOSE: (73) is inconsistent. % 20.25/3.92 | | | | | % 20.25/3.92 | | | | End of split % 20.25/3.92 | | | | % 20.25/3.92 | | | End of split % 20.25/3.92 | | | % 20.25/3.92 | | End of split % 20.25/3.92 | | % 20.25/3.92 | End of split % 20.25/3.92 | % 20.25/3.92 End of proof % 20.25/3.92 % SZS output end Proof for theBenchmark % 20.25/3.92 % 20.25/3.92 3292ms %------------------------------------------------------------------------------