%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL419+1 : TPTP v9.3.1. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n019.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 12:54:07 PM UTC 2026 % Result : Unknown 0.16s 40.48s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL419+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n019.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sat Sep 5 10:56:08 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.38 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. % 0.29/0.55 ________ _____ % 0.29/0.55 ___ __ \_________(_)________________________________ % 0.29/0.55 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.29/0.55 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.29/0.55 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.29/0.55 % 0.29/0.55 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.29/0.55 (2023-06-19) % 0.29/0.55 % 0.29/0.55 (c) Philipp Rümmer, 2009-2023 % 0.29/0.55 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.29/0.55 Amanda Stjerna. % 0.29/0.55 Free software under BSD-3-Clause. % 0.29/0.55 % 0.29/0.55 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.29/0.55 % 0.29/0.55 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.56/0.56 Running up to 7 provers in parallel. % 0.56/0.57 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.56/0.57 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.56/0.57 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.56/0.57 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.56/0.57 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.56/0.57 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.56/0.57 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.14/0.93 Prover 1: Preprocessing ... % 2.14/0.93 Prover 4: Preprocessing ... % 2.14/1.00 Prover 2: Preprocessing ... % 2.14/1.00 Prover 6: Preprocessing ... % 2.14/1.00 Prover 0: Preprocessing ... % 2.14/1.00 Prover 3: Preprocessing ... % 2.14/1.00 Prover 5: Preprocessing ... % 3.97/1.19 Prover 6: Constructing countermodel ... % 3.97/1.19 Prover 4: Constructing countermodel ... % 3.97/1.20 Prover 5: Proving ... % 3.97/1.20 Prover 0: Proving ... % 4.37/1.20 Prover 1: Constructing countermodel ... % 4.37/1.21 Prover 3: Constructing countermodel ... % 4.37/1.26 Prover 2: Proving ... % 5.89/1.42 Prover 3: gave up % 5.89/1.42 Prover 1: gave up % 5.89/1.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.89/1.42 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.89/1.46 Prover 7: Preprocessing ... % 5.89/1.47 Prover 8: Preprocessing ... % 6.67/1.51 Prover 6: gave up % 6.67/1.51 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.67/1.52 Prover 7: Constructing countermodel ... % 6.67/1.55 Prover 9: Preprocessing ... % 6.67/1.57 Prover 8: Warning: ignoring some quantifiers % 6.67/1.58 Prover 8: Constructing countermodel ... % 7.50/1.60 Prover 9: Constructing countermodel ... % 7.50/1.66 Prover 8: gave up % 7.50/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.50/1.69 Prover 10: Preprocessing ... % 8.27/1.75 Prover 10: Constructing countermodel ... % 9.07/1.84 Prover 10: gave up % 9.07/1.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.85/1.90 Prover 11: Preprocessing ... % 9.85/2.01 Prover 11: Constructing countermodel ... % 65.18/9.01 Prover 2: stopped % 65.18/9.01 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 66.42/9.06 Prover 12: Preprocessing ... % 67.21/9.18 Prover 12: Proving ... % 79.41/10.73 Prover 12: stopped % 79.41/10.74 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 79.41/10.76 Prover 13: Preprocessing ... % 80.21/10.82 Prover 13: Warning: ignoring some quantifiers % 80.21/10.83 Prover 13: Constructing countermodel ... % 80.21/10.87 Prover 13: gave up % 80.21/10.88 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 80.21/10.89 Prover 14: Preprocessing ... % 81.00/10.96 Prover 14: Proving ... % 104.71/13.90 Prover 5: stopped % 104.71/13.91 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 104.71/13.95 Prover 15: Preprocessing ... % 104.71/14.01 Prover 15: Proving ... % 198.13/26.02 Prover 7: stopped % 198.13/26.02 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 198.13/26.06 Prover 16: Preprocessing ... % 198.13/26.12 Prover 16: Warning: ignoring some quantifiers % 198.13/26.13 Prover 16: Constructing countermodel ... % 202.85/26.66 Prover 16: gave up % 202.85/26.66 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 202.85/26.67 Prover 17: Preprocessing ... % 202.85/26.69 Prover 17: Constructing countermodel ... % 202.85/26.70 Prover 17: gave up % 203.69/26.70 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 203.69/26.72 Prover 18: Preprocessing ... % 203.69/26.77 Prover 18: Warning: ignoring some quantifiers % 203.69/26.77 Prover 18: Constructing countermodel ... % 204.45/26.81 Prover 18: gave up % 204.45/26.81 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 204.45/26.83 Prover 19: Preprocessing ... % 205.25/26.90 Prover 19: Warning: ignoring some quantifiers % 205.25/26.91 Prover 19: Constructing countermodel ... % 213.15/27.92 Prover 4: stopped % 213.15/27.92 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 213.15/27.94 Prover 20: Preprocessing ... % 213.15/27.96 Prover 20: Proving ... % 229.03/29.95 Prover 19: stopped % 229.03/29.97 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 229.03/29.98 Prover 21: Preprocessing ... % 229.81/30.02 Prover 21: Proving ... % 266.04/34.87 Prover 14: stopped %------------------------------------------------------------------------------