%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL372+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 : n010.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 12:54:01 PM UTC 2026 % Result : Unknown 0.14s 47.63s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL372+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.03 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.07/0.34 % Computer : n010.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 23:02:09 UTC 2026 % 0.07/0.34 % CPUTime : % 0.07/0.36 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. % 0.70/0.70 ________ _____ % 0.70/0.70 ___ __ \_________(_)________________________________ % 0.70/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.70/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.70/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.70/0.70 % 0.70/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.70/0.70 (2023-06-19) % 0.70/0.70 % 0.70/0.70 (c) Philipp Rümmer, 2009-2023 % 0.70/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.70/0.70 Amanda Stjerna. % 0.70/0.70 Free software under BSD-3-Clause. % 0.70/0.70 % 0.70/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.70/0.70 % 0.70/0.70 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.72 Running up to 7 provers in parallel. % 0.70/0.73 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.70/0.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.70/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.70/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.70/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.70/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.70/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.03/1.08 Prover 1: Preprocessing ... % 2.03/1.08 Prover 4: Preprocessing ... % 2.74/1.15 Prover 5: Preprocessing ... % 2.74/1.15 Prover 6: Preprocessing ... % 2.74/1.15 Prover 3: Preprocessing ... % 2.74/1.15 Prover 2: Preprocessing ... % 2.74/1.15 Prover 0: Preprocessing ... % 3.95/1.34 Prover 6: Constructing countermodel ... % 3.95/1.34 Prover 4: Constructing countermodel ... % 3.95/1.34 Prover 1: Constructing countermodel ... % 3.95/1.35 Prover 3: Constructing countermodel ... % 3.95/1.36 Prover 5: Proving ... % 3.95/1.37 Prover 0: Proving ... % 3.95/1.37 Prover 2: Proving ... % 4.71/1.49 Prover 3: gave up % 4.71/1.50 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.46/1.50 Prover 1: gave up % 5.46/1.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.46/1.52 Prover 7: Preprocessing ... % 5.46/1.53 Prover 8: Preprocessing ... % 5.46/1.55 Prover 6: gave up % 5.46/1.56 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.23/1.60 Prover 7: Constructing countermodel ... % 6.23/1.60 Prover 9: Preprocessing ... % 6.23/1.63 Prover 8: Warning: ignoring some quantifiers % 6.23/1.63 Prover 8: Constructing countermodel ... % 6.97/1.70 Prover 8: gave up % 6.97/1.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.97/1.74 Prover 10: Preprocessing ... % 6.97/1.75 Prover 9: Constructing countermodel ... % 7.76/1.85 Prover 10: Constructing countermodel ... % 8.55/1.91 Prover 10: gave up % 8.55/1.92 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.55/1.95 Prover 11: Preprocessing ... % 8.55/2.07 Prover 11: Constructing countermodel ... % 9.94/2.09 Prover 4: gave up % 9.94/2.09 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 9.94/2.11 Prover 12: Preprocessing ... % 10.69/2.19 Prover 12: Proving ... % 11.68/2.34 Prover 11: gave up % 11.68/2.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.68/2.39 Prover 13: Preprocessing ... % 12.44/2.45 Prover 13: Warning: ignoring some quantifiers % 12.44/2.46 Prover 13: Constructing countermodel ... % 13.23/2.51 Prover 13: gave up % 13.23/2.51 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 13.23/2.53 Prover 14: Preprocessing ... % 13.23/2.60 Prover 14: Proving ... % 60.54/8.55 Prover 2: stopped % 60.54/8.56 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 60.54/8.57 Prover 15: Preprocessing ... % 61.34/8.64 Prover 12: stopped % 61.34/8.64 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 61.34/8.64 Prover 15: Proving ... % 61.34/8.67 Prover 16: Preprocessing ... % 62.13/8.71 Prover 16: Warning: ignoring some quantifiers % 62.13/8.71 Prover 16: Constructing countermodel ... % 63.76/9.00 Prover 16: gave up % 63.76/9.00 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 63.76/9.02 Prover 17: Preprocessing ... % 64.96/9.07 Prover 17: Constructing countermodel ... % 64.96/9.09 Prover 17: gave up % 64.96/9.10 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 64.96/9.12 Prover 18: Preprocessing ... % 65.82/9.19 Prover 18: Warning: ignoring some quantifiers % 65.82/9.19 Prover 18: Constructing countermodel ... % 66.08/9.22 Prover 18: gave up % 66.08/9.23 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 66.08/9.25 Prover 19: Preprocessing ... % 66.87/9.32 Prover 19: Warning: ignoring some quantifiers % 66.87/9.33 Prover 19: Constructing countermodel ... % 66.87/9.39 Prover 19: gave up % 66.87/9.40 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 67.67/9.42 Prover 20: Preprocessing ... % 68.46/9.50 Prover 20: Proving ... % 104.58/14.06 Prover 5: stopped % 104.58/14.06 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 104.58/14.08 Prover 21: Preprocessing ... % 104.58/14.11 Prover 21: Proving ... % 189.23/24.90 Prover 7: stopped % 216.17/28.88 Prover 9: stopped % 244.34/34.01 Prover 14: stopped %------------------------------------------------------------------------------