%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT061+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 : n018.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 06:17:28 AM UTC 2026 % Result : Theorem 32.58s 5.01s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT061+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.34 % Computer : n018.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Mon Sep 7 13:37:22 UTC 2026 % 0.09/0.34 % CPUTime : % 0.09/0.36 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. % 0.69/0.70 ________ _____ % 0.69/0.70 ___ __ \_________(_)________________________________ % 0.69/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.69/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.69/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.69/0.70 % 0.69/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.69/0.70 (2023-06-19) % 0.69/0.70 % 0.69/0.70 (c) Philipp Rümmer, 2009-2023 % 0.69/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.69/0.70 Amanda Stjerna. % 0.69/0.70 Free software under BSD-3-Clause. % 0.69/0.70 % 0.69/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.69/0.70 % 0.69/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.72 Running up to 7 provers in parallel. % 0.69/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.69/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.69/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.69/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.69/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.69/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.69/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.34/1.23 Prover 1: Preprocessing ... % 3.34/1.23 Prover 4: Preprocessing ... % 4.07/1.30 Prover 2: Preprocessing ... % 4.07/1.30 Prover 0: Preprocessing ... % 4.07/1.30 Prover 3: Preprocessing ... % 4.07/1.30 Prover 6: Preprocessing ... % 4.07/1.30 Prover 5: Preprocessing ... % 7.23/1.79 Prover 5: Proving ... % 8.01/1.80 Prover 2: Proving ... % 8.01/1.84 Prover 3: Constructing countermodel ... % 8.81/1.92 Prover 1: Constructing countermodel ... % 8.81/1.93 Prover 6: Proving ... % 8.81/1.94 Prover 4: Constructing countermodel ... % 9.89/2.11 Prover 0: Proving ... % 11.95/2.31 Prover 3: gave up % 11.95/2.31 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.95/2.38 Prover 7: Preprocessing ... % 12.72/2.47 Prover 1: gave up % 12.72/2.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 13.53/2.51 Prover 8: Preprocessing ... % 14.31/2.61 Prover 7: Warning: ignoring some quantifiers % 14.31/2.61 Prover 8: Warning: ignoring some quantifiers % 14.31/2.62 Prover 8: Constructing countermodel ... % 14.31/2.63 Prover 7: Constructing countermodel ... % 16.69/2.94 Prover 8: gave up % 16.69/2.94 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 16.69/3.01 Prover 9: Preprocessing ... % 19.84/3.32 Prover 9: Constructing countermodel ... % 24.62/3.96 Prover 7: gave up % 24.62/3.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 24.62/4.04 Prover 10: Preprocessing ... % 26.67/4.19 Prover 10: Warning: ignoring some quantifiers % 26.67/4.20 Prover 10: Constructing countermodel ... % 30.96/4.77 Prover 10: gave up % 30.96/4.77 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 31.76/4.83 Prover 11: Preprocessing ... % 32.58/5.01 Prover 9: proved (2061ms) % 32.58/5.01 % 32.58/5.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 32.58/5.01 % 32.58/5.02 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 32.58/5.02 Prover 6: stopped % 32.58/5.02 Prover 2: stopped % 32.58/5.02 Prover 0: stopped % 32.58/5.02 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 32.58/5.02 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 32.58/5.02 Prover 5: stopped % 33.67/5.10 Prover 16: Preprocessing ... % 33.67/5.11 Prover 13: Preprocessing ... % 33.67/5.11 Prover 11: Constructing countermodel ... % 33.67/5.13 Prover 16: Warning: ignoring some quantifiers % 33.67/5.13 Prover 16: Constructing countermodel ... % 33.67/5.14 Prover 19: Preprocessing ... % 34.42/5.17 Prover 13: Warning: ignoring some quantifiers % 34.42/5.17 Prover 4: gave up % 34.42/5.18 Prover 13: Constructing countermodel ... % 34.83/5.26 Prover 19: Warning: ignoring some quantifiers % 34.83/5.26 Prover 19: Constructing countermodel ... % 36.32/5.44 Prover 16: gave up % 37.00/5.52 Prover 19: gave up % 37.00/5.52 Prover 13: gave up % 42.79/6.93 Prover 11: gave up % 42.79/6.94 % 42.79/6.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 42.79/6.94 % 42.79/6.94 6230ms %------------------------------------------------------------------------------