%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL371+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 : n017.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 0.21s 47.91s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL371+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.06 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.41 % Computer : n017.cluster.edu % 0.15/0.41 % Model : x86_64 x86_64 % 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.41 % Memory : 8046.5625MB % 0.15/0.41 % OS : Linux 6.8.0-71-generic % 0.15/0.41 % CPULimit : 300 % 0.15/0.41 % WCLimit : 300 % 0.15/0.41 % DateTime : Sat Sep 5 16:31:52 UTC 2026 % 0.15/0.41 % CPUTime : % 0.15/0.43 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. % 0.79/0.87 ________ _____ % 0.79/0.87 ___ __ \_________(_)________________________________ % 0.79/0.87 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.79/0.87 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.79/0.87 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.79/0.87 % 0.79/0.87 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.79/0.87 (2023-06-19) % 0.79/0.87 % 0.79/0.87 (c) Philipp Rümmer, 2009-2023 % 0.79/0.87 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.79/0.87 Amanda Stjerna. % 0.79/0.87 Free software under BSD-3-Clause. % 0.79/0.87 % 0.79/0.87 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.79/0.87 % 0.79/0.87 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.99/0.90 Running up to 7 provers in parallel. % 0.99/0.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.99/0.92 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.99/0.92 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.99/0.92 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.99/0.92 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.99/0.92 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.99/0.92 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.93/1.53 Prover 4: Preprocessing ... % 2.93/1.53 Prover 1: Preprocessing ... % 2.93/1.60 Prover 6: Preprocessing ... % 2.93/1.60 Prover 5: Preprocessing ... % 2.93/1.60 Prover 2: Preprocessing ... % 2.93/1.60 Prover 0: Preprocessing ... % 2.93/1.60 Prover 3: Preprocessing ... % 5.26/1.87 Prover 4: Constructing countermodel ... % 5.26/1.87 Prover 1: Constructing countermodel ... % 5.26/1.87 Prover 6: Constructing countermodel ... % 5.26/1.87 Prover 3: Constructing countermodel ... % 5.26/1.89 Prover 5: Proving ... % 5.26/1.89 Prover 0: Proving ... % 6.01/1.90 Prover 2: Proving ... % 7.27/2.12 Prover 3: gave up % 7.27/2.12 Prover 6: gave up % 7.27/2.13 Prover 1: gave up % 7.27/2.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.27/2.13 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.27/2.13 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.27/2.15 Prover 8: Preprocessing ... % 7.27/2.16 Prover 7: Preprocessing ... % 7.27/2.18 Prover 9: Preprocessing ... % 8.22/2.22 Prover 8: Warning: ignoring some quantifiers % 8.22/2.23 Prover 8: Constructing countermodel ... % 8.22/2.25 Prover 7: Constructing countermodel ... % 8.94/2.31 Prover 8: gave up % 8.94/2.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.94/2.34 Prover 10: Preprocessing ... % 8.94/2.36 Prover 9: Constructing countermodel ... % 9.77/2.41 Prover 10: Constructing countermodel ... % 9.77/2.48 Prover 4: gave up % 9.77/2.48 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.54/2.50 Prover 10: gave up % 10.54/2.50 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 10.54/2.53 Prover 12: Preprocessing ... % 10.54/2.54 Prover 11: Preprocessing ... % 11.32/2.64 Prover 12: Proving ... % 11.32/2.66 Prover 11: Constructing countermodel ... % 13.74/2.95 Prover 11: gave up % 13.74/2.95 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.74/3.01 Prover 13: Preprocessing ... % 15.12/3.17 Prover 13: Warning: ignoring some quantifiers % 15.94/3.19 Prover 13: Constructing countermodel ... % 16.81/3.30 Prover 13: gave up % 16.81/3.30 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 16.81/3.33 Prover 14: Preprocessing ... % 17.62/3.43 Prover 14: Proving ... % 32.49/5.36 Prover 12: stopped % 32.49/5.37 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 33.29/5.41 Prover 15: Preprocessing ... % 34.11/5.55 Prover 15: Proving ... % 53.07/7.92 Prover 2: stopped % 53.07/7.93 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 53.07/7.96 Prover 16: Preprocessing ... % 53.88/8.01 Prover 16: Warning: ignoring some quantifiers % 53.88/8.01 Prover 16: Constructing countermodel ... % 55.47/8.20 Prover 16: gave up % 55.47/8.20 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 55.47/8.24 Prover 17: Preprocessing ... % 55.47/8.31 Prover 17: Constructing countermodel ... % 55.47/8.33 Prover 17: gave up % 55.47/8.34 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 55.47/8.37 Prover 18: Preprocessing ... % 56.99/8.42 Prover 18: Warning: ignoring some quantifiers % 56.99/8.42 Prover 18: Constructing countermodel ... % 56.99/8.44 Prover 18: gave up % 56.99/8.44 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 56.99/8.46 Prover 19: Preprocessing ... % 57.85/8.54 Prover 19: Warning: ignoring some quantifiers % 57.85/8.55 Prover 19: Constructing countermodel ... % 58.63/8.61 Prover 19: gave up % 58.63/8.61 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 58.63/8.63 Prover 20: Preprocessing ... % 59.43/8.72 Prover 20: Proving ... % 102.92/14.25 Prover 5: stopped % 102.92/14.25 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 102.92/14.28 Prover 21: Preprocessing ... % 103.73/14.34 Prover 21: Proving ... % 189.52/25.25 Prover 7: stopped % 215.60/28.72 Prover 9: stopped % 242.82/33.98 Prover 14: stopped %------------------------------------------------------------------------------