%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n013.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 : Mon Sep 7 12:55:05 PM UTC 2026 % Result : Unknown 0.21s 45.01s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.06 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.17/0.41 % Computer : n013.cluster.edu % 0.17/0.41 % Model : x86_64 x86_64 % 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.41 % Memory : 8046.5625MB % 0.17/0.41 % OS : Linux 6.8.0-71-generic % 0.17/0.41 % CPULimit : 300 % 0.17/0.41 % WCLimit : 300 % 0.17/0.41 % DateTime : Sat Sep 5 21:08:20 UTC 2026 % 0.17/0.42 % CPUTime : % 0.17/0.44 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. % 0.79/0.88 ________ _____ % 0.79/0.88 ___ __ \_________(_)________________________________ % 0.79/0.88 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.79/0.88 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.79/0.88 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.79/0.88 % 0.79/0.88 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.79/0.88 (2023-06-19) % 0.79/0.88 % 0.79/0.88 (c) Philipp Rümmer, 2009-2023 % 0.79/0.88 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.79/0.88 Amanda Stjerna. % 0.79/0.88 Free software under BSD-3-Clause. % 0.79/0.88 % 0.79/0.88 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.79/0.88 % 0.79/0.88 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 1.00/0.91 Running up to 7 provers in parallel. % 1.00/0.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 1.00/0.92 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 1.00/0.93 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.00/0.93 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 1.00/0.93 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.00/0.93 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.00/0.93 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.40/1.40 Prover 1: Preprocessing ... % 3.40/1.41 Prover 4: Preprocessing ... % 3.40/1.50 Prover 2: Preprocessing ... % 3.40/1.50 Prover 6: Preprocessing ... % 3.40/1.50 Prover 3: Preprocessing ... % 3.40/1.50 Prover 5: Preprocessing ... % 3.40/1.50 Prover 0: Preprocessing ... % 7.24/1.95 Prover 6: Constructing countermodel ... % 7.24/1.95 Prover 1: Constructing countermodel ... % 7.24/1.95 Prover 5: Proving ... % 7.24/1.97 Prover 3: Constructing countermodel ... % 7.24/2.05 Prover 4: Constructing countermodel ... % 8.48/2.07 Prover 0: Proving ... % 8.48/2.09 Prover 2: Proving ... % 11.09/2.48 Prover 1: gave up % 11.09/2.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.09/2.49 Prover 3: gave up % 11.09/2.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.91/2.53 Prover 4: gave up % 11.91/2.54 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.91/2.56 Prover 8: Preprocessing ... % 11.91/2.59 Prover 7: Preprocessing ... % 12.67/2.63 Prover 9: Preprocessing ... % 13.47/2.75 Prover 8: Warning: ignoring some quantifiers % 13.47/2.76 Prover 8: Constructing countermodel ... % 13.47/2.78 Prover 6: gave up % 13.47/2.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 14.29/2.86 Prover 7: Warning: ignoring some quantifiers % 14.29/2.86 Prover 10: Preprocessing ... % 14.29/2.89 Prover 7: Constructing countermodel ... % 15.03/2.96 Prover 10: Warning: ignoring some quantifiers % 15.03/2.97 Prover 10: Constructing countermodel ... % 15.03/3.01 Prover 9: Constructing countermodel ... % 16.49/3.16 Prover 10: gave up % 16.49/3.16 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 17.33/3.21 Prover 11: Preprocessing ... % 18.95/3.43 Prover 11: Constructing countermodel ... % 27.62/4.57 Prover 11: gave up % 27.62/4.57 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 28.44/4.66 Prover 12: Preprocessing ... % 30.77/4.91 Prover 12: Proving ... % 46.47/6.90 Prover 12: stopped % 46.47/6.91 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 47.30/7.01 Prover 13: Preprocessing ... % 48.07/7.20 Prover 13: Warning: ignoring some quantifiers % 48.07/7.21 Prover 13: Constructing countermodel ... % 50.50/7.43 Prover 13: gave up % 50.50/7.44 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 51.19/7.53 Prover 14: Preprocessing ... % 53.57/7.90 Prover 14: Proving ... % 54.40/7.94 Prover 2: stopped % 54.40/7.94 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 55.15/8.03 Prover 15: Preprocessing ... % 56.78/8.24 Prover 15: Proving ... % 104.11/14.25 Prover 5: stopped % 104.11/14.25 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 104.11/14.29 Prover 16: Preprocessing ... % 104.91/14.37 Prover 16: Warning: ignoring some quantifiers % 104.91/14.37 Prover 16: Constructing countermodel ... % 141.30/19.10 Prover 16: stopped % 141.30/19.11 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 142.88/19.17 Prover 17: Preprocessing ... % 143.72/19.27 Prover 17: Constructing countermodel ... % 144.44/19.35 Prover 17: gave up % 144.44/19.36 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 145.29/19.42 Prover 18: Preprocessing ... % 146.02/19.55 Prover 18: Warning: ignoring some quantifiers % 146.02/19.55 Prover 18: Constructing countermodel ... % 146.81/19.61 Prover 18: gave up % 146.81/19.61 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 146.81/19.64 Prover 19: Preprocessing ... % 147.64/19.71 Prover 19: Warning: ignoring some quantifiers % 147.64/19.71 Prover 19: Constructing countermodel ... % 148.43/19.85 Prover 19: gave up % 148.43/19.86 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 149.21/19.91 Prover 20: Preprocessing ... % 150.00/20.01 Prover 20: Proving ... % 186.37/24.69 Prover 7: stopped % 187.14/24.70 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 187.14/24.74 Prover 21: Preprocessing ... % 187.95/24.83 Prover 21: Proving ... % 216.82/28.55 Prover 9: stopped % 240.06/31.86 Prover 14: stopped % 272.38/37.90 Prover 8: stopped %------------------------------------------------------------------------------