%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 : Tue May 5 07:05:43 PM UTC 2026 % Result : Theorem 146.48s 21.76s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 09:37:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.56/0.59 ________ _____ % 0.56/0.59 ___ __ \_________(_)________________________________ % 0.56/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.56/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.56/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.56/0.59 % 0.56/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.56/0.59 (2023-06-19) % 0.56/0.59 % 0.56/0.59 (c) Philipp Rümmer, 2009-2023 % 0.56/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.56/0.59 Amanda Stjerna. % 0.56/0.59 Free software under BSD-3-Clause. % 0.56/0.59 % 0.56/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.56/0.59 % 0.56/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.56/0.61 Running up to 7 provers in parallel. % 0.56/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.56/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.56/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.56/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.56/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.56/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.56/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.49/1.01 Prover 4: Preprocessing ... % 1.49/1.01 Prover 1: Preprocessing ... % 2.28/1.06 Prover 0: Preprocessing ... % 2.28/1.06 Prover 6: Preprocessing ... % 2.28/1.06 Prover 5: Preprocessing ... % 2.28/1.06 Prover 3: Preprocessing ... % 2.28/1.06 Prover 2: Preprocessing ... % 3.44/1.23 Prover 1: Constructing countermodel ... % 3.44/1.23 Prover 3: Constructing countermodel ... % 3.44/1.24 Prover 4: Constructing countermodel ... % 3.44/1.24 Prover 0: Proving ... % 3.44/1.24 Prover 5: Proving ... % 3.44/1.25 Prover 6: Proving ... % 3.44/1.26 Prover 2: Proving ... % 4.18/1.30 Prover 1: gave up % 4.18/1.30 Prover 3: gave up % 4.18/1.31 Prover 4: gave up % 4.18/1.31 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.18/1.31 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.18/1.31 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 4.18/1.32 Prover 7: Preprocessing ... % 4.18/1.33 Prover 8: Preprocessing ... % 4.18/1.33 Prover 9: Preprocessing ... % 4.18/1.40 Prover 9: Constructing countermodel ... % 4.95/1.40 Prover 9: gave up % 4.95/1.42 Prover 8: Warning: ignoring some quantifiers % 4.95/1.42 Prover 7: Constructing countermodel ... % 4.95/1.42 Prover 8: Constructing countermodel ... % 4.95/1.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.95/1.43 Prover 7: gave up % 4.95/1.44 Prover 10: Preprocessing ... % 4.95/1.44 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.95/1.45 Prover 11: Preprocessing ... % 5.67/1.50 Prover 11: Constructing countermodel ... % 5.67/1.50 Prover 8: gave up % 5.67/1.51 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 5.67/1.51 Prover 10: Constructing countermodel ... % 5.67/1.51 Prover 11: gave up % 5.67/1.52 Prover 12: Preprocessing ... % 5.67/1.53 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 5.67/1.54 Prover 13: Preprocessing ... % 5.67/1.56 Prover 10: gave up % 5.67/1.56 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 5.67/1.57 Prover 14: Preprocessing ... % 5.67/1.58 Prover 12: Proving ... % 6.44/1.61 Prover 13: Warning: ignoring some quantifiers % 6.44/1.62 Prover 13: Constructing countermodel ... % 6.44/1.64 Prover 14: Proving ... % 6.44/1.70 Prover 13: gave up % 7.22/1.70 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 7.22/1.71 Prover 15: Preprocessing ... % 7.22/1.75 Prover 15: Proving ... % 32.11/4.92 Prover 12: stopped % 32.11/4.93 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 32.11/4.97 Prover 16: Preprocessing ... % 32.11/5.00 Prover 16: Warning: ignoring some quantifiers % 32.11/5.01 Prover 16: Constructing countermodel ... % 33.00/5.02 Prover 16: gave up % 33.00/5.02 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 33.00/5.02 Prover 17: Preprocessing ... % 33.00/5.04 Prover 17: Constructing countermodel ... % 33.00/5.04 Prover 17: gave up % 33.00/5.05 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 33.00/5.06 Prover 18: Preprocessing ... % 33.00/5.07 Prover 18: Warning: ignoring some quantifiers % 33.00/5.08 Prover 18: Constructing countermodel ... % 33.00/5.10 Prover 18: gave up % 33.77/5.12 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 33.77/5.13 Prover 19: Preprocessing ... % 33.77/5.16 Prover 19: Warning: ignoring some quantifiers % 33.77/5.16 Prover 19: Constructing countermodel ... % 33.77/5.18 Prover 19: gave up % 33.77/5.18 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 33.77/5.18 Prover 20: Preprocessing ... % 34.44/5.22 Prover 20: Proving ... % 54.94/7.82 Prover 2: stopped % 54.94/7.82 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 54.94/7.83 Prover 21: Preprocessing ... % 54.94/7.87 Prover 21: Proving ... % 101.26/13.95 Prover 5: stopped % 125.48/17.87 Prover 6: stopped % 146.48/21.75 Prover 15: proved (20049ms) % 146.48/21.75 % 146.48/21.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 146.48/21.76 % 146.48/21.76 Prover 21: stopped % 146.48/21.76 Prover 0: stopped % 146.48/21.76 Prover 14: stopped % 146.48/21.76 Prover 20: stopped % 146.48/21.76 % 146.48/21.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 146.48/21.76 % 146.48/21.76 21161ms %------------------------------------------------------------------------------