%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n006.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 06:17:27 AM UTC 2026 % Result : Theorem 53.56s 7.67s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.36 % Computer : n006.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 13:24:46 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.38 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. % 0.67/0.71 ________ _____ % 0.67/0.71 ___ __ \_________(_)________________________________ % 0.67/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.67/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.67/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.67/0.71 % 0.67/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.67/0.71 (2023-06-19) % 0.67/0.71 % 0.67/0.71 (c) Philipp Rümmer, 2009-2023 % 0.67/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.67/0.71 Amanda Stjerna. % 0.67/0.71 Free software under BSD-3-Clause. % 0.67/0.71 % 0.67/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.67/0.71 % 0.67/0.72 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.67/0.74 Running up to 7 provers in parallel. % 0.67/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.26/1.22 Prover 1: Preprocessing ... % 3.26/1.23 Prover 4: Preprocessing ... % 3.26/1.29 Prover 6: Preprocessing ... % 3.26/1.29 Prover 0: Preprocessing ... % 3.26/1.29 Prover 3: Preprocessing ... % 3.26/1.29 Prover 5: Preprocessing ... % 3.26/1.29 Prover 2: Preprocessing ... % 7.17/1.79 Prover 6: Constructing countermodel ... % 7.17/1.80 Prover 1: Constructing countermodel ... % 7.17/1.80 Prover 3: Constructing countermodel ... % 7.97/1.80 Prover 4: Constructing countermodel ... % 7.97/1.80 Prover 5: Proving ... % 7.97/1.81 Prover 2: Proving ... % 7.97/1.85 Prover 0: Proving ... % 10.69/2.16 Prover 3: gave up % 10.69/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.04/2.22 Prover 7: Preprocessing ... % 11.04/2.29 Prover 6: gave up % 11.81/2.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.81/2.35 Prover 1: gave up % 11.81/2.36 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 12.61/2.41 Prover 7: Warning: ignoring some quantifiers % 12.61/2.44 Prover 7: Constructing countermodel ... % 12.61/2.45 Prover 8: Preprocessing ... % 12.61/2.46 Prover 9: Preprocessing ... % 15.77/2.81 Prover 8: Warning: ignoring some quantifiers % 15.77/2.81 Prover 9: Constructing countermodel ... % 15.77/2.81 Prover 8: Constructing countermodel ... % 17.71/3.13 Prover 8: gave up % 17.71/3.14 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.90/3.20 Prover 10: Preprocessing ... % 19.70/3.35 Prover 10: Warning: ignoring some quantifiers % 19.70/3.37 Prover 10: Constructing countermodel ... % 22.08/3.68 Prover 10: gave up % 22.08/3.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.85/3.79 Prover 11: Preprocessing ... % 25.57/4.10 Prover 11: Constructing countermodel ... % 28.35/4.48 Prover 4: gave up % 28.35/4.49 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 29.95/4.68 Prover 12: Preprocessing ... % 32.32/5.09 Prover 12: Proving ... % 38.63/5.79 Prover 11: gave up % 38.63/5.80 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 39.45/5.89 Prover 7: gave up % 39.45/5.90 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 40.22/5.94 Prover 13: Preprocessing ... % 40.97/6.06 Prover 14: Preprocessing ... % 42.54/6.23 Prover 13: Warning: ignoring some quantifiers % 42.54/6.24 Prover 13: Constructing countermodel ... % 44.92/6.56 Prover 14: Proving ... % 45.74/6.61 Prover 13: gave up % 45.74/6.61 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 45.74/6.66 Prover 15: Preprocessing ... % 46.50/6.79 Prover 15: Proving ... % 48.10/6.90 Prover 12: stopped % 48.10/6.91 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 48.10/6.94 Prover 16: Preprocessing ... % 48.89/7.01 Prover 16: Warning: ignoring some quantifiers % 48.89/7.02 Prover 16: Constructing countermodel ... % 53.56/7.67 Prover 14: proved (1773ms) % 53.56/7.67 % 53.56/7.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 53.56/7.67 % 53.56/7.67 Prover 15: stopped % 53.56/7.67 Prover 0: stopped % 53.56/7.67 Prover 9: stopped % 53.56/7.67 Prover 5: stopped % 53.56/7.67 Prover 2: stopped % 53.56/7.67 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 54.30/7.72 Prover 19: Preprocessing ... % 54.30/7.76 Prover 16: gave up % 54.82/7.83 Prover 19: Warning: ignoring some quantifiers % 54.82/7.84 Prover 19: Constructing countermodel ... % 55.25/7.99 Prover 19: gave up % 55.25/8.00 % 55.25/8.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 55.25/8.00 % 55.25/8.00 7280ms %------------------------------------------------------------------------------