%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC411+1 : TPTP v8.1.2. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.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 : Thu Aug 31 20:51:18 EDT 2023 % Result : Theorem 24.28s 4.20s % Output : Proof 33.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC411+1 : TPTP v8.1.2. Released v2.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Aug 28 17:51:10 EDT 2023 % 0.14/0.33 % CPUTime : % 0.18/0.64 ________ _____ % 0.18/0.64 ___ __ \_________(_)________________________________ % 0.18/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.64 % 0.18/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.64 (2023-06-19) % 0.18/0.64 % 0.18/0.64 (c) Philipp Rümmer, 2009-2023 % 0.18/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.64 Amanda Stjerna. % 0.18/0.64 Free software under BSD-3-Clause. % 0.18/0.64 % 0.18/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.64 % 0.18/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.65 Running up to 7 provers in parallel. % 0.18/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.54/1.50 Prover 4: Preprocessing ... % 4.54/1.51 Prover 1: Preprocessing ... % 4.54/1.54 Prover 6: Preprocessing ... % 4.54/1.54 Prover 5: Preprocessing ... % 4.54/1.54 Prover 3: Preprocessing ... % 4.54/1.54 Prover 0: Preprocessing ... % 4.54/1.54 Prover 2: Preprocessing ... % 17.31/3.19 Prover 2: Proving ... % 18.17/3.34 Prover 5: Constructing countermodel ... % 18.17/3.36 Prover 1: Constructing countermodel ... % 18.81/3.43 Prover 3: Constructing countermodel ... % 19.37/3.49 Prover 6: Proving ... % 24.28/4.20 Prover 3: proved (3532ms) % 24.28/4.20 % 24.28/4.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.28/4.20 % 24.28/4.21 Prover 5: stopped % 24.28/4.23 Prover 2: stopped % 24.28/4.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 24.28/4.24 Prover 6: stopped % 24.28/4.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 24.28/4.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 24.28/4.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 26.20/4.48 Prover 10: Preprocessing ... % 26.20/4.51 Prover 8: Preprocessing ... % 26.63/4.52 Prover 7: Preprocessing ... % 26.63/4.56 Prover 11: Preprocessing ... % 26.99/4.62 Prover 0: Proving ... % 26.99/4.64 Prover 0: stopped % 27.64/4.65 Prover 4: Constructing countermodel ... % 27.64/4.65 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 28.39/4.78 Prover 13: Preprocessing ... % 28.39/4.78 Prover 10: Constructing countermodel ... % 29.13/4.91 Prover 7: Constructing countermodel ... % 29.79/5.08 Prover 10: Found proof (size 5) % 29.79/5.08 Prover 10: proved (839ms) % 29.79/5.08 Prover 7: stopped % 29.79/5.08 Prover 8: Warning: ignoring some quantifiers % 29.79/5.09 Prover 4: stopped % 29.79/5.09 Prover 1: stopped % 29.79/5.10 Prover 8: Constructing countermodel ... % 29.79/5.11 Prover 8: stopped % 30.78/5.14 Prover 13: Constructing countermodel ... % 30.78/5.17 Prover 13: stopped % 33.04/5.69 Prover 11: Constructing countermodel ... % 33.04/5.72 Prover 11: stopped % 33.04/5.72 % 33.04/5.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 33.04/5.72 % 33.04/5.72 % SZS output start Proof for theBenchmark % 33.04/5.73 Assumptions after simplification: % 33.04/5.73 --------------------------------- % 33.04/5.73 % 33.04/5.73 (co1) % 33.04/5.73 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 33.04/5.73 memberP(v1, v2) & ssList(v1) & ssList(v0) & ssItem(v2) & ~ memberP(v0, v2) % 33.04/5.73 & ! [v3: $i] : ( ~ $i(v3) | ~ memberP(v1, v3) | ~ ssItem(v3) | % 33.04/5.73 memberP(v0, v3))) % 33.04/5.74 % 33.04/5.74 Further assumptions not needed in the proof: % 33.04/5.74 -------------------------------------------- % 33.04/5.74 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax2, ax20, % 33.04/5.74 ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, % 33.04/5.74 ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44, % 33.04/5.74 ax45, ax46, ax47, ax48, ax49, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, % 33.04/5.74 ax57, ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, % 33.04/5.74 ax69, ax7, ax70, ax71, ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, % 33.04/5.74 ax80, ax81, ax82, ax83, ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, % 33.04/5.74 ax92, ax93, ax94, ax95 % 33.04/5.74 % 33.04/5.74 Those formulas are unsatisfiable: % 33.04/5.74 --------------------------------- % 33.04/5.74 % 33.04/5.74 Begin of proof % 33.04/5.74 | % 33.04/5.74 | DELTA: instantiating (co1) with fresh symbols all_91_0, all_91_1, all_91_2 % 33.04/5.74 | gives: % 33.04/5.74 | (1) $i(all_91_0) & $i(all_91_1) & $i(all_91_2) & memberP(all_91_1, % 33.04/5.74 | all_91_0) & ssList(all_91_1) & ssList(all_91_2) & ssItem(all_91_0) & % 33.04/5.74 | ~ memberP(all_91_2, all_91_0) & ! [v0: $i] : ( ~ $i(v0) | ~ % 33.04/5.74 | memberP(all_91_1, v0) | ~ ssItem(v0) | memberP(all_91_2, v0)) % 33.04/5.74 | % 33.04/5.74 | ALPHA: (1) implies: % 33.04/5.74 | (2) ~ memberP(all_91_2, all_91_0) % 33.04/5.74 | (3) ssItem(all_91_0) % 33.04/5.74 | (4) memberP(all_91_1, all_91_0) % 33.04/5.74 | (5) $i(all_91_0) % 33.04/5.74 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ memberP(all_91_1, v0) | ~ ssItem(v0) | % 33.04/5.74 | memberP(all_91_2, v0)) % 33.04/5.74 | % 33.04/5.74 | GROUND_INST: instantiating (6) with all_91_0, simplifying with (2), (3), (4), % 33.04/5.74 | (5) gives: % 33.04/5.74 | (7) $false % 33.04/5.75 | % 33.04/5.75 | CLOSE: (7) is inconsistent. % 33.04/5.75 | % 33.04/5.75 End of proof % 33.04/5.75 % SZS output end Proof for theBenchmark % 33.04/5.75 % 33.04/5.75 5107ms %------------------------------------------------------------------------------