%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL421+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 : n014.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 0.15s 44.20s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL421+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.03 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n014.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 % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 15:47:27 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.38 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. % 0.28/0.56 ________ _____ % 0.28/0.56 ___ __ \_________(_)________________________________ % 0.28/0.56 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.28/0.56 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.28/0.56 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.28/0.56 % 0.28/0.56 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.28/0.56 (2023-06-19) % 0.28/0.56 % 0.28/0.56 (c) Philipp Rümmer, 2009-2023 % 0.28/0.56 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.28/0.56 Amanda Stjerna. % 0.28/0.56 Free software under BSD-3-Clause. % 0.28/0.56 % 0.28/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.28/0.56 % 0.28/0.56 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.54/0.57 Running up to 7 provers in parallel. % 0.54/0.58 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.54/0.58 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.54/0.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.54/0.58 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.54/0.58 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.54/0.58 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.54/0.58 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.16/0.94 Prover 1: Preprocessing ... % 2.16/0.94 Prover 4: Preprocessing ... % 2.16/0.97 Prover 5: Preprocessing ... % 2.16/0.97 Prover 3: Preprocessing ... % 2.16/0.97 Prover 2: Preprocessing ... % 2.16/0.98 Prover 0: Preprocessing ... % 2.16/0.98 Prover 6: Preprocessing ... % 4.47/1.25 Prover 6: Constructing countermodel ... % 4.47/1.27 Prover 5: Proving ... % 5.18/1.32 Prover 4: Constructing countermodel ... % 5.18/1.32 Prover 3: Constructing countermodel ... % 5.18/1.33 Prover 0: Proving ... % 5.18/1.34 Prover 1: Constructing countermodel ... % 5.18/1.38 Prover 2: Proving ... % 7.52/1.67 Prover 1: gave up % 7.52/1.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.52/1.70 Prover 7: Preprocessing ... % 8.32/1.77 Prover 7: Constructing countermodel ... % 9.09/1.90 Prover 3: gave up % 9.90/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.90/1.97 Prover 8: Preprocessing ... % 10.92/2.10 Prover 8: Warning: ignoring some quantifiers % 10.92/2.12 Prover 8: Constructing countermodel ... % 13.74/2.41 Prover 8: gave up % 13.74/2.42 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 13.74/2.47 Prover 9: Preprocessing ... % 13.74/2.48 Prover 4: gave up % 13.74/2.48 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 14.52/2.50 Prover 10: Preprocessing ... % 15.32/2.62 Prover 10: Constructing countermodel ... % 15.32/2.65 Prover 9: Constructing countermodel ... % 16.10/2.79 Prover 9: gave up % 16.10/2.79 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.91/2.80 Prover 11: Preprocessing ... % 16.91/2.86 Prover 10: gave up % 16.91/2.86 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 16.91/2.89 Prover 11: Constructing countermodel ... % 17.72/2.91 Prover 12: Preprocessing ... % 18.95/3.14 Prover 12: Proving ... % 20.70/3.37 Prover 11: gave up % 20.70/3.38 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 21.53/3.43 Prover 13: Preprocessing ... % 21.53/3.48 Prover 13: Warning: ignoring some quantifiers % 21.53/3.48 Prover 13: Constructing countermodel ... % 23.86/3.72 Prover 13: gave up % 23.86/3.72 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 23.86/3.74 Prover 14: Preprocessing ... % 25.48/3.92 Prover 6: gave up % 25.48/3.93 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 25.48/3.97 Prover 15: Preprocessing ... % 25.48/4.01 Prover 14: Proving ... % 26.41/4.11 Prover 15: Proving ... % 60.66/8.42 Prover 7: gave up % 60.66/8.43 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 60.66/8.45 Prover 16: Preprocessing ... % 61.47/8.50 Prover 16: Warning: ignoring some quantifiers % 61.47/8.51 Prover 16: Constructing countermodel ... % 63.82/8.85 Prover 16: gave up % 63.82/8.85 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 63.82/8.88 Prover 17: Preprocessing ... % 64.56/8.93 Prover 17: Constructing countermodel ... % 64.56/8.99 Prover 17: gave up % 64.56/9.00 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 64.56/9.04 Prover 18: Preprocessing ... % 65.92/9.10 Prover 18: Warning: ignoring some quantifiers % 65.92/9.11 Prover 18: Constructing countermodel ... % 66.73/9.18 Prover 18: gave up % 66.73/9.19 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 66.89/9.20 Prover 19: Preprocessing ... % 66.89/9.23 Prover 19: Warning: ignoring some quantifiers % 66.89/9.23 Prover 19: Constructing countermodel ... % 66.89/9.29 Prover 19: gave up % 66.89/9.29 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 67.66/9.32 Prover 20: Preprocessing ... % 68.41/9.43 Prover 20: Proving ... % 91.96/12.40 Prover 12: stopped % 91.96/12.40 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 91.96/12.42 Prover 21: Preprocessing ... % 91.96/12.47 Prover 21: Proving ... % 198.11/27.36 Prover 2: stopped %------------------------------------------------------------------------------