%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL073+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 12:53:35 PM UTC 2026 % Result : Unknown 0.17s 52.28s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL073+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.39 % Computer : n010.cluster.edu % 0.11/0.39 % Model : x86_64 x86_64 % 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.39 % Memory : 8046.5625MB % 0.11/0.39 % OS : Linux 6.8.0-71-generic % 0.11/0.39 % CPULimit : 300 % 0.11/0.39 % WCLimit : 300 % 0.11/0.39 % DateTime : Sat Sep 5 06:48:38 UTC 2026 % 0.11/0.39 % CPUTime : % 0.11/0.41 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. % 0.61/0.74 ________ _____ % 0.61/0.74 ___ __ \_________(_)________________________________ % 0.61/0.74 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.61/0.74 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.61/0.74 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.61/0.74 % 0.61/0.74 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.61/0.74 (2023-06-19) % 0.61/0.74 % 0.61/0.74 (c) Philipp Rümmer, 2009-2023 % 0.61/0.74 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.61/0.74 Amanda Stjerna. % 0.61/0.74 Free software under BSD-3-Clause. % 0.61/0.74 % 0.61/0.74 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.61/0.74 % 0.61/0.74 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.61/0.76 Running up to 7 provers in parallel. % 0.61/0.78 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.61/0.78 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.61/0.78 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.61/0.78 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.61/0.78 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.61/0.78 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.61/0.78 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.76/1.10 Prover 1: Preprocessing ... % 1.76/1.10 Prover 4: Preprocessing ... % 2.54/1.17 Prover 5: Preprocessing ... % 2.54/1.17 Prover 6: Preprocessing ... % 2.54/1.17 Prover 3: Preprocessing ... % 2.54/1.17 Prover 0: Preprocessing ... % 2.54/1.17 Prover 2: Preprocessing ... % 3.70/1.31 Prover 3: Constructing countermodel ... % 3.70/1.31 Prover 1: Constructing countermodel ... % 3.70/1.31 Prover 4: Constructing countermodel ... % 3.70/1.32 Prover 6: Constructing countermodel ... % 3.70/1.35 Prover 5: Proving ... % 3.70/1.36 Prover 0: Proving ... % 4.48/1.40 Prover 2: Proving ... % 4.48/1.49 Prover 1: gave up % 4.48/1.49 Prover 3: gave up % 4.48/1.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.48/1.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.48/1.50 Prover 6: gave up % 5.30/1.50 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.30/1.52 Prover 7: Preprocessing ... % 5.30/1.52 Prover 8: Preprocessing ... % 5.30/1.53 Prover 9: Preprocessing ... % 5.30/1.58 Prover 7: Constructing countermodel ... % 6.06/1.60 Prover 8: Warning: ignoring some quantifiers % 6.06/1.62 Prover 8: Constructing countermodel ... % 6.06/1.66 Prover 9: Constructing countermodel ... % 6.06/1.68 Prover 8: gave up % 6.06/1.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.06/1.69 Prover 10: Preprocessing ... % 6.81/1.72 Prover 10: Constructing countermodel ... % 6.81/1.72 Prover 7: gave up % 6.81/1.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.81/1.74 Prover 11: Preprocessing ... % 6.81/1.75 Prover 4: gave up % 6.81/1.75 Prover 9: gave up % 6.81/1.75 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 6.81/1.75 Prover 10: gave up % 6.81/1.76 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.81/1.76 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 6.81/1.78 Prover 11: Constructing countermodel ... % 6.81/1.79 Prover 14: Preprocessing ... % 6.81/1.79 Prover 13: Preprocessing ... % 6.81/1.80 Prover 12: Preprocessing ... % 7.64/1.89 Prover 13: Warning: ignoring some quantifiers % 7.64/1.89 Prover 13: Constructing countermodel ... % 8.38/1.91 Prover 12: Proving ... % 8.38/1.92 Prover 14: Proving ... % 8.38/1.93 Prover 13: gave up % 8.38/1.93 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 8.38/1.94 Prover 15: Preprocessing ... % 8.38/1.97 Prover 11: gave up % 8.38/1.97 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 8.38/1.99 Prover 16: Preprocessing ... % 8.38/2.01 Prover 15: Proving ... % 8.38/2.03 Prover 16: Warning: ignoring some quantifiers % 8.38/2.04 Prover 16: Constructing countermodel ... % 10.38/2.17 Prover 16: gave up % 10.38/2.18 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 10.72/2.20 Prover 17: Preprocessing ... % 10.72/2.24 Prover 17: Constructing countermodel ... % 10.72/2.28 Prover 17: gave up % 10.72/2.28 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 10.72/2.29 Prover 18: Preprocessing ... % 11.47/2.33 Prover 18: Warning: ignoring some quantifiers % 11.47/2.34 Prover 18: Constructing countermodel ... % 11.47/2.37 Prover 18: gave up % 11.47/2.37 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 11.47/2.39 Prover 19: Preprocessing ... % 12.27/2.44 Prover 19: Warning: ignoring some quantifiers % 12.27/2.45 Prover 19: Constructing countermodel ... % 13.07/2.50 Prover 19: gave up % 13.07/2.51 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 13.07/2.53 Prover 20: Preprocessing ... % 13.87/2.64 Prover 20: Proving ... % 33.41/5.08 Prover 12: stopped % 33.41/5.09 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 33.41/5.10 Prover 21: Preprocessing ... % 33.41/5.12 Prover 21: Proving ... % 51.05/7.39 Prover 2: stopped % 104.30/14.11 Prover 5: stopped % 223.12/33.72 Prover 14: stopped %------------------------------------------------------------------------------