%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : COM228_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 : n008.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 06:21:36 PM UTC 2026 % Result : Theorem 16.43s 2.92s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM228_1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.33 % Computer : n008.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon May 4 19:10:43 EDT 2026 % 0.15/0.33 % CPUTime : % 0.52/0.59 ________ _____ % 0.52/0.59 ___ __ \_________(_)________________________________ % 0.52/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.52/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.52/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.52/0.59 % 0.52/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.52/0.59 (2023-06-19) % 0.52/0.59 % 0.52/0.59 (c) Philipp Rümmer, 2009-2023 % 0.52/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.52/0.59 Amanda Stjerna. % 0.52/0.59 Free software under BSD-3-Clause. % 0.52/0.59 % 0.52/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.52/0.59 % 0.52/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.52/0.60 Running up to 7 provers in parallel. % 0.52/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.52/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.52/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.52/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.52/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.52/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.52/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.78/1.51 Prover 4: Preprocessing ... % 5.78/1.52 Prover 1: Preprocessing ... % 5.78/1.53 Prover 2: Preprocessing ... % 5.78/1.53 Prover 6: Preprocessing ... % 5.78/1.53 Prover 3: Preprocessing ... % 5.78/1.53 Prover 5: Preprocessing ... % 5.78/1.53 Prover 0: Preprocessing ... % 12.66/2.43 Prover 1: Warning: ignoring some quantifiers % 12.66/2.46 Prover 6: Proving ... % 12.66/2.46 Prover 1: Constructing countermodel ... % 12.66/2.47 Prover 3: Warning: ignoring some quantifiers % 13.44/2.50 Prover 3: Constructing countermodel ... % 13.44/2.52 Prover 5: Proving ... % 14.17/2.64 Prover 4: Warning: ignoring some quantifiers % 14.17/2.64 Prover 0: Proving ... % 14.89/2.72 Prover 4: Constructing countermodel ... % 15.66/2.86 Prover 2: Proving ... % 16.43/2.92 Prover 6: proved (2305ms) % 16.43/2.92 % 16.43/2.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.43/2.92 % 16.43/2.92 Prover 3: proved (2311ms) % 16.43/2.92 % 16.43/2.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.43/2.92 % 16.43/2.92 Prover 2: stopped % 16.43/2.92 Prover 0: stopped % 16.43/2.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 16.43/2.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 16.43/2.95 Prover 5: stopped % 16.43/2.96 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 16.43/2.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.43/2.96 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 18.29/3.17 Prover 7: Preprocessing ... % 18.71/3.24 Prover 11: Preprocessing ... % 18.71/3.26 Prover 8: Preprocessing ... % 18.71/3.26 Prover 13: Preprocessing ... % 18.71/3.27 Prover 10: Preprocessing ... % 21.02/3.51 Prover 8: Warning: ignoring some quantifiers % 21.02/3.53 Prover 8: Constructing countermodel ... % 21.02/3.56 Prover 11: Warning: ignoring some quantifiers % 21.02/3.56 Prover 7: Warning: ignoring some quantifiers % 21.02/3.57 Prover 11: Constructing countermodel ... % 21.02/3.58 Prover 7: Constructing countermodel ... % 21.82/3.60 Prover 10: Warning: ignoring some quantifiers % 21.82/3.63 Prover 10: Constructing countermodel ... % 22.61/3.70 Prover 13: Warning: ignoring some quantifiers % 22.61/3.72 Prover 13: Constructing countermodel ... % 63.09/8.98 Prover 13: stopped % 63.09/9.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 64.02/9.09 Prover 16: Preprocessing ... % 65.42/9.25 Prover 16: Warning: ignoring some quantifiers % 65.42/9.26 Prover 16: Constructing countermodel ... % 109.39/15.02 Prover 16: stopped % 109.39/15.02 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 111.72/15.20 Prover 19: Preprocessing ... % 113.26/15.43 Prover 19: Warning: ignoring some quantifiers % 113.26/15.44 Prover 19: Constructing countermodel ... % 117.18/15.95 Prover 1: stopped % 136.24/18.79 Prover 19: stopped % 179.84/26.08 Prover 7: stopped % 188.46/27.95 Prover 4: stopped % 236.48/39.29 Prover 8: stopped % 239.57/40.68 Prover 11: stopped % 280.82/77.99 Prover 10: stopped % 280.82/77.99 % 280.82/77.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 280.82/77.99 % 280.82/77.99 77403ms %------------------------------------------------------------------------------