%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR030+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 : n017.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 21:36:31 EDT 2023 % Result : Theorem 10.38s 2.19s % Output : Proof 11.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR030+1 : TPTP v8.1.2. Released v3.4.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n017.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 13:14:27 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.10/1.17 Prover 1: Preprocessing ... % 3.10/1.17 Prover 4: Preprocessing ... % 3.10/1.21 Prover 0: Preprocessing ... % 3.10/1.21 Prover 5: Preprocessing ... % 3.10/1.21 Prover 3: Preprocessing ... % 3.10/1.21 Prover 2: Preprocessing ... % 3.10/1.21 Prover 6: Preprocessing ... % 5.73/1.55 Prover 5: Proving ... % 5.73/1.55 Prover 2: Constructing countermodel ... % 6.08/1.64 Prover 6: Proving ... % 6.65/1.66 Prover 3: Warning: ignoring some quantifiers % 6.93/1.68 Prover 3: Constructing countermodel ... % 6.93/1.69 Prover 1: Warning: ignoring some quantifiers % 6.93/1.72 Prover 1: Constructing countermodel ... % 7.46/1.79 Prover 4: Constructing countermodel ... % 7.46/1.79 Prover 0: Proving ... % 9.33/2.04 Prover 3: gave up % 9.33/2.05 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.81/2.11 Prover 1: gave up % 9.81/2.12 Prover 7: Preprocessing ... % 9.81/2.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.38/2.15 Prover 7: Constructing countermodel ... % 10.38/2.16 Prover 8: Preprocessing ... % 10.38/2.19 Prover 2: proved (1551ms) % 10.38/2.19 % 10.38/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.38/2.19 % 10.38/2.20 Prover 6: proved (1549ms) % 10.38/2.20 % 10.38/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.38/2.20 % 10.38/2.20 Prover 5: stopped % 10.38/2.20 Prover 0: stopped % 10.38/2.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.38/2.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.38/2.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.38/2.20 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 10.98/2.24 Prover 10: Preprocessing ... % 10.98/2.26 Prover 16: Preprocessing ... % 10.98/2.26 Prover 13: Preprocessing ... % 11.36/2.28 Prover 10: Constructing countermodel ... % 11.36/2.28 Prover 11: Preprocessing ... % 11.36/2.29 Prover 4: Found proof (size 36) % 11.36/2.29 Prover 4: proved (1644ms) % 11.36/2.29 Prover 7: stopped % 11.36/2.29 Prover 10: stopped % 11.36/2.29 Prover 13: stopped % 11.36/2.30 Prover 16: stopped % 11.36/2.31 Prover 8: Warning: ignoring some quantifiers % 11.36/2.32 Prover 8: Constructing countermodel ... % 11.36/2.33 Prover 8: stopped % 11.36/2.33 Prover 11: stopped % 11.36/2.33 % 11.36/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.36/2.33 % 11.36/2.34 % SZS output start Proof for theBenchmark % 11.36/2.34 Assumptions after simplification: % 11.36/2.34 --------------------------------- % 11.36/2.34 % 11.36/2.34 (just10) % 11.81/2.37 genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & $i(c_tptp_spindleheadmt) & % 11.81/2.37 $i(c_cyclistsmt) % 11.81/2.37 % 11.81/2.37 (just11) % 11.81/2.37 genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = 0 & % 11.81/2.37 $i(c_tptp_member3393_mt) & $i(c_tptp_spindleheadmt) % 11.81/2.37 % 11.81/2.37 (just12) % 11.94/2.37 $i(c_tptpcol_16_4451) & $i(c_pushingwithopenhand) & $i(c_tptp_spindleheadmt) & % 11.94/2.37 ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 & % 11.94/2.37 tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = v1 & ( ~ (v0 = % 11.94/2.37 0) | v1 = 0)) % 11.94/2.37 % 11.94/2.37 (just21) % 11.94/2.37 $i(c_tptpcol_16_4451) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 11.94/2.37 c_tptpcol_16_4451) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 11.94/2.37 tptpcol_16_4451(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_4451(v0) = 0) | % 11.94/2.37 ~ $i(v0) | isa(v0, c_tptpcol_16_4451) = 0) % 11.94/2.37 % 11.94/2.37 (just49) % 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 11.94/2.38 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~ % 11.94/2.38 (v2 = 0) | v3 = 0))) % 11.94/2.38 % 11.94/2.38 (just7) % 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_5_387(v0, % 11.94/2.38 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 11.94/2.38 tptptypes_6_388(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 11.94/2.38 (tptptypes_6_388(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_5_387(v0, % 11.94/2.38 v1) = 0) % 11.94/2.38 % 11.94/2.38 (just9) % 11.94/2.38 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (tptptypes_6_388(v1, % 11.94/2.38 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 11.94/2.38 tptptypes_7_389(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 11.94/2.38 (tptptypes_7_389(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | tptptypes_6_388(v1, % 11.94/2.38 v0) = 0) % 11.94/2.38 % 11.94/2.38 (query30) % 11.94/2.38 mtvisible(c_tptp_member3393_mt) = 0 & $i(c_pushingwithopenhand) & % 11.94/2.38 $i(c_tptp_member3393_mt) & ! [v0: $i] : ( ~ (tptptypes_5_387(v0, % 11.94/2.38 c_pushingwithopenhand) = 0) | ~ $i(v0)) % 11.94/2.38 % 11.94/2.38 (function-axioms) % 11.94/2.39 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 11.94/2.39 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! % 11.94/2.39 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 11.94/2.39 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = % 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_7_389(v3, v2) = v1) | ~ % 11.94/2.39 (tptptypes_7_389(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.94/2.39 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 11.94/2.39 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 11.94/2.39 : (v1 = v0 | ~ (tptptypes_5_387(v3, v2) = v1) | ~ (tptptypes_5_387(v3, v2) = % 11.94/2.39 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 11.94/2.39 $i] : ! [v3: $i] : (v1 = v0 | ~ (tptptypes_6_388(v3, v2) = v1) | ~ % 11.94/2.39 (tptptypes_6_388(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.94/2.39 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 11.94/2.39 (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 11.94/2.39 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.94/2.39 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.94/2.39 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 11.94/2.39 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | % 11.94/2.39 ~ (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.94/2.39 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 11.94/2.39 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.94/2.39 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (firstordercollection(v2) = % 11.94/2.39 v1) | ~ (firstordercollection(v2) = v0)) & ! [v0: MultipleValueBool] : % 11.94/2.39 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 11.94/2.39 (pushingwithopenhand(v2) = v1) | ~ (pushingwithopenhand(v2) = v0)) & ! % 11.94/2.39 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 11.94/2.39 | ~ (tptpcol_16_4451(v2) = v1) | ~ (tptpcol_16_4451(v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.94/2.39 ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.94/2.39 ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0: % 11.94/2.39 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.94/2.39 ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = % 11.94/2.39 v0)) % 11.94/2.39 % 11.94/2.39 Further assumptions not needed in the proof: % 11.94/2.39 -------------------------------------------- % 11.94/2.39 just1, just13, just14, just15, just16, just17, just18, just19, just2, just20, % 11.94/2.39 just22, just23, just24, just25, just26, just27, just28, just29, just3, just30, % 11.94/2.39 just31, just32, just33, just34, just35, just36, just37, just38, just39, just4, % 11.94/2.39 just40, just41, just42, just43, just44, just45, just46, just47, just48, just5, % 11.94/2.39 just50, just51, just52, just53, just54, just55, just56, just57, just6, just8 % 11.94/2.39 % 11.94/2.39 Those formulas are unsatisfiable: % 11.94/2.39 --------------------------------- % 11.94/2.39 % 11.94/2.39 Begin of proof % 11.94/2.39 | % 11.94/2.39 | ALPHA: (just7) implies: % 11.94/2.40 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_6_388(v0, v1) = 0) | ~ % 11.94/2.40 | $i(v1) | ~ $i(v0) | tptptypes_5_387(v0, v1) = 0) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (just9) implies: % 11.94/2.40 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (tptptypes_7_389(v0, v1) = 0) | ~ % 11.94/2.40 | $i(v1) | ~ $i(v0) | tptptypes_6_388(v1, v0) = 0) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (just10) implies: % 11.94/2.40 | (3) $i(c_cyclistsmt) % 11.94/2.40 | (4) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 % 11.94/2.40 | % 11.94/2.40 | ALPHA: (just11) implies: % 11.94/2.40 | (5) genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = 0 % 11.94/2.40 | % 11.94/2.40 | ALPHA: (just12) implies: % 11.94/2.40 | (6) $i(c_tptp_spindleheadmt) % 11.94/2.40 | (7) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 & % 11.94/2.40 | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = v1 & ( ~ % 11.94/2.40 | (v0 = 0) | v1 = 0)) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (just21) implies: % 11.94/2.40 | (8) $i(c_tptpcol_16_4451) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (query30) implies: % 11.94/2.40 | (9) $i(c_tptp_member3393_mt) % 11.94/2.40 | (10) $i(c_pushingwithopenhand) % 11.94/2.40 | (11) mtvisible(c_tptp_member3393_mt) = 0 % 11.94/2.40 | (12) ! [v0: $i] : ( ~ (tptptypes_5_387(v0, c_pushingwithopenhand) = 0) | % 11.94/2.40 | ~ $i(v0)) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (function-axioms) implies: % 11.94/2.40 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.94/2.40 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 11.94/2.40 | % 11.94/2.40 | DELTA: instantiating (7) with fresh symbols all_50_0, all_50_1 gives: % 11.94/2.40 | (14) mtvisible(c_tptp_spindleheadmt) = all_50_1 & % 11.94/2.40 | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = all_50_0 & % 11.94/2.40 | ( ~ (all_50_1 = 0) | all_50_0 = 0) % 11.94/2.40 | % 11.94/2.40 | ALPHA: (14) implies: % 11.94/2.40 | (15) tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = all_50_0 % 11.94/2.40 | (16) mtvisible(c_tptp_spindleheadmt) = all_50_1 % 11.94/2.40 | (17) ~ (all_50_1 = 0) | all_50_0 = 0 % 11.94/2.40 | % 11.94/2.40 | GROUND_INST: instantiating (just49) with c_tptp_spindleheadmt, c_cyclistsmt, % 11.94/2.40 | simplifying with (3), (4), (6) gives: % 11.94/2.40 | (18) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_spindleheadmt) = v0 & % 11.94/2.40 | mtvisible(c_cyclistsmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 11.94/2.40 | % 11.94/2.40 | GROUND_INST: instantiating (just49) with c_tptp_member3393_mt, % 11.94/2.40 | c_tptp_spindleheadmt, simplifying with (5), (6), (9) gives: % 11.94/2.41 | (19) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptp_member3393_mt) = v0 & % 11.94/2.41 | mtvisible(c_tptp_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 11.94/2.41 | % 11.94/2.41 | DELTA: instantiating (19) with fresh symbols all_62_0, all_62_1 gives: % 11.94/2.41 | (20) mtvisible(c_tptp_member3393_mt) = all_62_1 & % 11.94/2.41 | mtvisible(c_tptp_spindleheadmt) = all_62_0 & ( ~ (all_62_1 = 0) | % 11.94/2.41 | all_62_0 = 0) % 11.94/2.41 | % 11.94/2.41 | ALPHA: (20) implies: % 11.94/2.41 | (21) mtvisible(c_tptp_spindleheadmt) = all_62_0 % 11.94/2.41 | (22) mtvisible(c_tptp_member3393_mt) = all_62_1 % 11.94/2.41 | (23) ~ (all_62_1 = 0) | all_62_0 = 0 % 11.94/2.41 | % 11.94/2.41 | DELTA: instantiating (18) with fresh symbols all_64_0, all_64_1 gives: % 11.94/2.41 | (24) mtvisible(c_tptp_spindleheadmt) = all_64_1 & mtvisible(c_cyclistsmt) = % 11.94/2.41 | all_64_0 & ( ~ (all_64_1 = 0) | all_64_0 = 0) % 11.94/2.41 | % 11.94/2.41 | ALPHA: (24) implies: % 11.94/2.41 | (25) mtvisible(c_tptp_spindleheadmt) = all_64_1 % 11.94/2.41 | % 11.94/2.41 | GROUND_INST: instantiating (13) with all_50_1, all_64_1, c_tptp_spindleheadmt, % 11.94/2.41 | simplifying with (16), (25) gives: % 11.94/2.41 | (26) all_64_1 = all_50_1 % 11.94/2.41 | % 11.94/2.41 | GROUND_INST: instantiating (13) with all_62_0, all_64_1, c_tptp_spindleheadmt, % 11.94/2.41 | simplifying with (21), (25) gives: % 11.94/2.41 | (27) all_64_1 = all_62_0 % 11.94/2.41 | % 11.94/2.41 | GROUND_INST: instantiating (13) with 0, all_62_1, c_tptp_member3393_mt, % 11.94/2.41 | simplifying with (11), (22) gives: % 11.94/2.41 | (28) all_62_1 = 0 % 11.94/2.41 | % 11.94/2.41 | COMBINE_EQS: (26), (27) imply: % 11.94/2.41 | (29) all_62_0 = all_50_1 % 11.94/2.41 | % 11.94/2.41 | SIMP: (29) implies: % 11.94/2.41 | (30) all_62_0 = all_50_1 % 11.94/2.41 | % 11.94/2.41 | BETA: splitting (23) gives: % 11.94/2.41 | % 11.94/2.41 | Case 1: % 11.94/2.41 | | % 11.94/2.41 | | (31) ~ (all_62_1 = 0) % 11.94/2.41 | | % 11.94/2.41 | | REDUCE: (28), (31) imply: % 11.94/2.41 | | (32) $false % 11.94/2.41 | | % 11.94/2.41 | | CLOSE: (32) is inconsistent. % 11.94/2.41 | | % 11.94/2.41 | Case 2: % 11.94/2.41 | | % 11.94/2.41 | | (33) all_62_0 = 0 % 11.94/2.41 | | % 11.94/2.41 | | COMBINE_EQS: (30), (33) imply: % 11.94/2.41 | | (34) all_50_1 = 0 % 11.94/2.41 | | % 11.94/2.41 | | SIMP: (34) implies: % 11.94/2.41 | | (35) all_50_1 = 0 % 11.94/2.41 | | % 11.94/2.41 | | BETA: splitting (17) gives: % 11.94/2.41 | | % 11.94/2.41 | | Case 1: % 11.94/2.41 | | | % 11.94/2.41 | | | (36) ~ (all_50_1 = 0) % 11.94/2.41 | | | % 11.94/2.41 | | | REDUCE: (35), (36) imply: % 11.94/2.41 | | | (37) $false % 11.94/2.41 | | | % 11.94/2.41 | | | CLOSE: (37) is inconsistent. % 11.94/2.41 | | | % 11.94/2.41 | | Case 2: % 11.94/2.41 | | | % 11.94/2.41 | | | (38) all_50_0 = 0 % 11.94/2.41 | | | % 11.94/2.41 | | | REDUCE: (15), (38) imply: % 11.94/2.41 | | | (39) tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) = 0 % 11.94/2.41 | | | % 11.94/2.41 | | | GROUND_INST: instantiating (2) with c_pushingwithopenhand, % 11.94/2.41 | | | c_tptpcol_16_4451, simplifying with (8), (10), (39) gives: % 11.94/2.41 | | | (40) tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand) = 0 % 11.94/2.41 | | | % 11.94/2.41 | | | GROUND_INST: instantiating (1) with c_tptpcol_16_4451, % 11.94/2.41 | | | c_pushingwithopenhand, simplifying with (8), (10), (40) % 11.94/2.41 | | | gives: % 11.94/2.41 | | | (41) tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand) = 0 % 11.94/2.41 | | | % 11.94/2.41 | | | GROUND_INST: instantiating (12) with c_tptpcol_16_4451, simplifying with % 11.94/2.41 | | | (8), (41) gives: % 11.94/2.41 | | | (42) $false % 11.94/2.41 | | | % 11.94/2.41 | | | CLOSE: (42) is inconsistent. % 11.94/2.41 | | | % 11.94/2.41 | | End of split % 11.94/2.41 | | % 11.94/2.41 | End of split % 11.94/2.41 | % 11.94/2.41 End of proof % 11.94/2.41 % SZS output end Proof for theBenchmark % 11.94/2.42 % 11.94/2.42 1794ms %------------------------------------------------------------------------------