%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL419+2 : TPTP v9.3.1. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n026.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 44.72s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL419+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.36 % Computer : n026.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 21:22:11 UTC 2026 % 0.11/0.37 % CPUTime : % 0.15/0.38 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. % 0.65/0.72 ________ _____ % 0.65/0.72 ___ __ \_________(_)________________________________ % 0.65/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.65/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.65/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.65/0.72 % 0.65/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.65/0.72 (2023-06-19) % 0.65/0.72 % 0.65/0.72 (c) Philipp Rümmer, 2009-2023 % 0.65/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.65/0.72 Amanda Stjerna. % 0.65/0.72 Free software under BSD-3-Clause. % 0.65/0.72 % 0.65/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.65/0.72 % 0.65/0.73 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.65/0.75 Running up to 7 provers in parallel. % 0.65/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.65/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.65/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.65/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.65/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.65/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.65/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.84/1.11 Prover 4: Preprocessing ... % 2.65/1.14 Prover 1: Preprocessing ... % 2.65/1.15 Prover 0: Preprocessing ... % 2.65/1.15 Prover 5: Preprocessing ... % 2.65/1.15 Prover 2: Preprocessing ... % 2.65/1.15 Prover 6: Preprocessing ... % 2.65/1.15 Prover 3: Preprocessing ... % 4.69/1.49 Prover 6: Constructing countermodel ... % 5.47/1.52 Prover 3: Constructing countermodel ... % 5.47/1.52 Prover 5: Proving ... % 5.47/1.52 Prover 0: Proving ... % 5.47/1.53 Prover 1: Constructing countermodel ... % 5.47/1.54 Prover 4: Constructing countermodel ... % 5.47/1.58 Prover 2: Proving ... % 7.83/1.88 Prover 1: gave up % 7.83/1.88 Prover 3: gave up % 7.83/1.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.83/1.89 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.63/1.93 Prover 8: Preprocessing ... % 8.63/1.94 Prover 7: Preprocessing ... % 8.63/2.04 Prover 8: Warning: ignoring some quantifiers % 9.77/2.06 Prover 8: Constructing countermodel ... % 9.77/2.10 Prover 7: Constructing countermodel ... % 10.97/2.26 Prover 4: gave up % 10.97/2.27 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 10.97/2.29 Prover 9: Preprocessing ... % 11.77/2.32 Prover 8: gave up % 11.77/2.32 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.77/2.36 Prover 10: Preprocessing ... % 12.57/2.46 Prover 10: Constructing countermodel ... % 12.57/2.47 Prover 9: Constructing countermodel ... % 13.37/2.59 Prover 10: gave up % 13.37/2.59 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.16/2.63 Prover 11: Preprocessing ... % 15.00/2.71 Prover 9: gave up % 15.00/2.71 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 15.00/2.72 Prover 11: Constructing countermodel ... % 15.00/2.74 Prover 12: Preprocessing ... % 15.73/2.90 Prover 12: Proving ... % 16.54/3.05 Prover 11: gave up % 16.54/3.06 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 17.77/3.08 Prover 13: Preprocessing ... % 18.56/3.18 Prover 13: Warning: ignoring some quantifiers % 18.56/3.19 Prover 13: Constructing countermodel ... % 20.36/3.41 Prover 6: gave up % 20.36/3.41 Prover 13: gave up % 20.36/3.41 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 20.36/3.42 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 20.36/3.45 Prover 14: Preprocessing ... % 20.36/3.46 Prover 15: Preprocessing ... % 21.96/3.62 Prover 15: Proving ... % 21.96/3.62 Prover 14: Proving ... % 68.33/9.53 Prover 7: gave up % 68.33/9.53 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 68.33/9.55 Prover 16: Preprocessing ... % 69.11/9.63 Prover 16: Warning: ignoring some quantifiers % 69.11/9.63 Prover 16: Constructing countermodel ... % 73.77/10.23 Prover 16: gave up % 73.77/10.24 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 73.77/10.26 Prover 17: Preprocessing ... % 74.53/10.32 Prover 17: Constructing countermodel ... % 74.53/10.39 Prover 17: gave up % 75.31/10.40 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 75.31/10.41 Prover 18: Preprocessing ... % 75.31/10.44 Prover 18: Warning: ignoring some quantifiers % 75.31/10.44 Prover 18: Constructing countermodel ... % 76.11/10.52 Prover 18: gave up % 76.11/10.53 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 76.11/10.56 Prover 19: Preprocessing ... % 76.91/10.65 Prover 19: Warning: ignoring some quantifiers % 76.91/10.65 Prover 19: Constructing countermodel ... % 77.71/10.76 Prover 19: gave up % 77.71/10.76 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 77.71/10.79 Prover 20: Preprocessing ... % 79.27/10.96 Prover 20: Proving ... % 110.82/14.98 Prover 12: stopped % 110.82/14.98 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 110.82/15.02 Prover 21: Preprocessing ... % 112.05/15.10 Prover 21: Proving ... % 162.18/22.11 Prover 2: stopped %------------------------------------------------------------------------------