%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT034+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:17:23 AM UTC 2026 % Result : Theorem 46.72s 6.79s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT034+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n027.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:34:30 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.38 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.72/0.71 ________ _____ % 0.72/0.71 ___ __ \_________(_)________________________________ % 0.72/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.72/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.72/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.72/0.71 % 0.72/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.72/0.71 (2023-06-19) % 0.72/0.71 % 0.72/0.71 (c) Philipp Rümmer, 2009-2023 % 0.72/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.72/0.71 Amanda Stjerna. % 0.72/0.71 Free software under BSD-3-Clause. % 0.72/0.71 % 0.72/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.72/0.72 % 0.72/0.72 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.74 Running up to 7 provers in parallel. % 0.72/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.12/1.36 Prover 4: Preprocessing ... % 4.12/1.39 Prover 1: Preprocessing ... % 4.91/1.42 Prover 2: Preprocessing ... % 4.91/1.42 Prover 3: Preprocessing ... % 4.91/1.42 Prover 5: Preprocessing ... % 4.91/1.42 Prover 6: Preprocessing ... % 4.91/1.43 Prover 0: Preprocessing ... % 10.11/2.14 Prover 3: Constructing countermodel ... % 11.18/2.21 Prover 6: Proving ... % 11.18/2.23 Prover 1: Constructing countermodel ... % 11.97/2.36 Prover 5: Proving ... % 13.53/2.51 Prover 2: Proving ... % 13.53/2.60 Prover 3: gave up % 14.32/2.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.32/2.63 Prover 6: gave up % 14.32/2.63 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.14/2.70 Prover 1: gave up % 15.14/2.71 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 15.14/2.72 Prover 8: Preprocessing ... % 15.14/2.72 Prover 7: Preprocessing ... % 15.14/2.78 Prover 4: Constructing countermodel ... % 15.91/2.83 Prover 9: Preprocessing ... % 15.91/2.89 Prover 0: Proving ... % 16.68/2.99 Prover 8: Warning: ignoring some quantifiers % 17.68/3.05 Prover 8: Constructing countermodel ... % 17.68/3.05 Prover 7: Warning: ignoring some quantifiers % 17.68/3.12 Prover 7: Constructing countermodel ... % 19.82/3.38 Prover 8: gave up % 19.82/3.38 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 20.62/3.48 Prover 10: Preprocessing ... % 21.43/3.58 Prover 9: Constructing countermodel ... % 22.21/3.67 Prover 10: Warning: ignoring some quantifiers % 22.21/3.69 Prover 10: Constructing countermodel ... % 24.60/3.93 Prover 10: gave up % 24.60/3.93 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 24.60/3.99 Prover 7: gave up % 24.60/3.99 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 25.82/4.08 Prover 12: Preprocessing ... % 25.82/4.10 Prover 11: Preprocessing ... % 29.33/4.55 Prover 12: Proving ... % 30.93/4.71 Prover 11: Constructing countermodel ... % 45.16/6.51 Prover 12: stopped % 45.16/6.51 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 45.16/6.54 Prover 13: Preprocessing ... % 46.72/6.78 Prover 13: Warning: ignoring some quantifiers % 46.72/6.78 Prover 9: proved (4071ms) % 46.72/6.79 % 46.72/6.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 46.72/6.79 % 46.72/6.79 Prover 5: stopped % 46.72/6.79 Prover 0: stopped % 46.72/6.80 Prover 2: stopped % 46.72/6.80 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 46.72/6.80 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 46.72/6.80 Prover 13: Constructing countermodel ... % 47.52/6.84 Prover 16: Preprocessing ... % 47.52/6.89 Prover 19: Preprocessing ... % 48.31/6.97 Prover 16: Warning: ignoring some quantifiers % 48.31/6.98 Prover 16: Constructing countermodel ... % 49.38/7.08 Prover 19: Warning: ignoring some quantifiers % 49.38/7.10 Prover 19: Constructing countermodel ... % 67.16/9.39 Prover 19: gave up % 67.96/9.42 Prover 13: gave up % 67.96/9.49 Prover 16: gave up % 124.36/28.08 Prover 4: stopped % 141.34/42.63 Prover 11: stopped % 141.34/42.64 % 141.34/42.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 141.34/42.64 % 141.34/42.64 41919ms 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