%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL657+1.020 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n029.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 12:54:33 PM UTC 2026 % Result : Unknown 0.17s 41.03s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL657+1.020 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.37 % Computer : n029.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 23:11:40 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.39 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. % 0.66/0.72 ________ _____ % 0.66/0.72 ___ __ \_________(_)________________________________ % 0.66/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.72 % 0.66/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.72 (2023-06-19) % 0.66/0.72 % 0.66/0.72 (c) Philipp Rümmer, 2009-2023 % 0.66/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.72 Amanda Stjerna. % 0.66/0.72 Free software under BSD-3-Clause. % 0.66/0.72 % 0.66/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.72 % 0.66/0.72 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.74 Running up to 7 provers in parallel. % 0.66/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 12.68/2.43 Prover 4: Preprocessing ... % 12.68/2.49 Prover 0: Preprocessing ... % 12.68/2.49 Prover 2: Preprocessing ... % 12.68/2.49 Prover 6: Preprocessing ... % 12.68/2.49 Prover 3: Preprocessing ... % 12.68/2.49 Prover 5: Preprocessing ... % 12.68/2.49 Prover 1: Preprocessing ... % 22.90/3.77 Prover 5: Proving ... % 29.20/4.53 Prover 2: Proving ... % 42.45/6.21 Prover 3: Constructing countermodel ... % 42.45/6.29 Prover 1: Constructing countermodel ... % 42.45/6.30 Prover 3: gave up % 43.21/6.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 43.21/6.37 Prover 1: gave up % 43.21/6.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 44.00/6.49 Prover 6: Proving ... % 47.17/6.81 Prover 8: Preprocessing ... % 47.17/6.83 Prover 7: Preprocessing ... % 51.04/7.31 Prover 7: Warning: ignoring some quantifiers % 53.43/7.61 Prover 7: Constructing countermodel ... % 54.22/7.76 Prover 7: gave up % 54.22/7.76 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 57.04/8.06 Prover 9: Preprocessing ... % 57.04/8.13 Prover 8: Warning: ignoring some quantifiers % 57.04/8.15 Prover 8: Constructing countermodel ... % 58.87/8.39 Prover 8: gave up % 59.65/8.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 62.87/8.89 Prover 10: Preprocessing ... % 67.56/9.40 Prover 10: Warning: ignoring some quantifiers % 68.30/9.58 Prover 10: Constructing countermodel ... % 69.10/9.67 Prover 10: gave up % 69.10/9.67 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 72.59/10.09 Prover 11: Preprocessing ... % 87.20/12.05 Prover 2: stopped % 87.20/12.06 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 93.48/12.71 Prover 12: Preprocessing ... % 98.17/13.30 Prover 12: Proving ... % 102.02/13.85 Prover 12: stopped % 102.02/13.86 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 104.00/14.10 Prover 5: stopped % 104.00/14.10 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 105.10/14.20 Prover 13: Preprocessing ... % 107.38/14.50 Prover 14: Preprocessing ... % 107.38/14.53 Prover 13: Warning: ignoring some quantifiers % 108.17/14.61 Prover 13: Constructing countermodel ... % 109.00/14.71 Prover 13: gave up % 109.00/14.71 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 110.50/15.06 Prover 14: Proving ... % 111.81/15.13 Prover 15: Preprocessing ... % 118.33/15.94 Prover 15: Proving ... % 133.98/18.00 Prover 6: stopped % 133.98/18.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 136.29/18.21 Prover 16: Preprocessing ... % 137.86/18.43 Prover 16: Warning: ignoring some quantifiers % 138.61/18.52 Prover 16: Constructing countermodel ... % 139.31/18.65 Prover 16: gave up % 139.31/18.65 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 141.64/19.04 Prover 17: Preprocessing ... % 147.19/19.61 Prover 17: Proving ... % 147.19/19.63 Prover 17: gave up % 147.19/19.63 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 149.54/20.05 Prover 18: Preprocessing ... % 152.68/20.39 Prover 18: Warning: ignoring some quantifiers % 152.68/20.40 Prover 18: Constructing countermodel ... % 153.48/20.46 Prover 18: gave up % 153.48/20.46 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 155.82/20.78 Prover 19: Preprocessing ... % 165.22/21.94 Prover 19: Warning: ignoring some quantifiers % 165.22/21.95 Prover 19: Constructing countermodel ... % 165.22/22.04 Prover 19: gave up % 165.22/22.04 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 168.33/22.30 Prover 20: Preprocessing ... % 170.73/22.69 Prover 20: Proving ... % 258.04/34.31 Prover 9: Constructing countermodel ... % 259.52/34.56 Prover 9: gave up % 259.52/34.57 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 261.02/34.78 Prover 21: Preprocessing ... % 261.87/34.82 Prover 21: Proving ... % 267.55/35.69 Prover 14: stopped %------------------------------------------------------------------------------