%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL970_15 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n013.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 12:55:11 PM UTC 2026 % Result : Unknown 0.16s 52.19s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL970_15 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.36 % Computer : n013.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 % 0.03/0.36 % WCLimit : 300 % 0.03/0.36 % DateTime : Sat Sep 5 23:58:20 UTC 2026 % 0.03/0.36 % CPUTime : % 0.03/0.38 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. % 0.48/0.58 ________ _____ % 0.48/0.58 ___ __ \_________(_)________________________________ % 0.48/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.48/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.48/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.48/0.58 % 0.48/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.48/0.58 (2023-06-19) % 0.48/0.58 % 0.48/0.58 (c) Philipp Rümmer, 2009-2023 % 0.48/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.48/0.58 Amanda Stjerna. % 0.48/0.58 Free software under BSD-3-Clause. % 0.48/0.58 % 0.48/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.48/0.58 % 0.48/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.48/0.59 Running up to 7 provers in parallel. % 0.48/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.48/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.48/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.48/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.48/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.48/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.48/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.08/1.12 Prover 1: Preprocessing ... % 2.08/1.13 Prover 4: Preprocessing ... % 3.29/1.21 Prover 6: Preprocessing ... % 3.29/1.21 Prover 2: Preprocessing ... % 3.29/1.21 Prover 3: Preprocessing ... % 3.29/1.21 Prover 5: Preprocessing ... % 3.29/1.21 Prover 0: Preprocessing ... % 4.07/1.36 Prover 2: Proving ... % 4.07/1.36 Prover 5: Proving ... % 4.07/1.39 Prover 1: Warning: ignoring some quantifiers % 4.82/1.40 Prover 4: Warning: ignoring some quantifiers % 4.82/1.41 Prover 1: Constructing countermodel ... % 4.82/1.42 Prover 4: Constructing countermodel ... % 4.82/1.46 Prover 6: Proving ... % 4.82/1.46 Prover 3: Warning: ignoring some quantifiers % 4.82/1.47 Prover 3: Constructing countermodel ... % 5.63/1.52 Prover 3: gave up % 5.63/1.52 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.63/1.52 Prover 1: gave up % 5.63/1.52 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.63/1.53 Prover 0: Proving ... % 5.63/1.53 Prover 4: gave up % 5.63/1.53 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.63/1.57 Prover 8: Preprocessing ... % 5.63/1.57 Prover 7: Preprocessing ... % 5.63/1.57 Prover 9: Preprocessing ... % 5.63/1.60 Prover 7: Warning: ignoring some quantifiers % 6.41/1.60 Prover 7: Constructing countermodel ... % 6.41/1.66 Prover 7: gave up % 6.41/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.41/1.68 Prover 9: Warning: ignoring some quantifiers % 6.41/1.68 Prover 8: Warning: ignoring some quantifiers % 6.41/1.69 Prover 9: Constructing countermodel ... % 6.41/1.69 Prover 10: Preprocessing ... % 7.18/1.70 Prover 8: Constructing countermodel ... % 7.18/1.72 Prover 10: Warning: ignoring some quantifiers % 7.18/1.72 Prover 10: Constructing countermodel ... % 7.18/1.73 Prover 9: gave up % 7.18/1.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.18/1.74 Prover 10: gave up % 7.18/1.74 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 7.18/1.76 Prover 12: Preprocessing ... % 7.18/1.78 Prover 11: Preprocessing ... % 7.18/1.78 Prover 8: gave up % 7.18/1.79 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.97/1.82 Prover 13: Preprocessing ... % 7.97/1.85 Prover 13: Warning: ignoring some quantifiers % 7.97/1.85 Prover 13: Constructing countermodel ... % 7.97/1.88 Prover 12: Proving ... % 7.97/1.89 Prover 13: gave up % 7.97/1.89 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 8.73/1.92 Prover 11: Warning: ignoring some quantifiers % 8.73/1.94 Prover 11: Constructing countermodel ... % 8.73/1.95 Prover 14: Preprocessing ... % 8.73/1.99 Prover 11: gave up % 8.73/1.99 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 8.73/2.03 Prover 15: Preprocessing ... % 8.73/2.04 Prover 14: Proving ... % 10.74/2.17 Prover 15: Proving ... % 32.20/4.99 Prover 12: stopped % 32.20/5.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 32.20/5.02 Prover 16: Preprocessing ... % 32.20/5.04 Prover 16: Warning: ignoring some quantifiers % 33.28/5.05 Prover 16: Constructing countermodel ... % 34.05/5.16 Prover 16: gave up % 34.05/5.16 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 34.05/5.20 Prover 17: Preprocessing ... % 34.53/5.28 Prover 17: Proving ... % 53.42/7.63 Prover 2: stopped % 53.42/7.63 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 53.42/7.67 Prover 18: Preprocessing ... % 54.23/7.72 Prover 18: Warning: ignoring some quantifiers % 54.23/7.72 Prover 18: Constructing countermodel ... % 54.23/7.73 Prover 18: gave up % 54.23/7.75 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 54.23/7.78 Prover 19: Preprocessing ... % 54.98/7.88 Prover 19: Warning: ignoring some quantifiers % 54.98/7.89 Prover 19: Constructing countermodel ... % 55.78/7.92 Prover 19: gave up % 55.78/7.92 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 55.78/7.94 Prover 20: Preprocessing ... % 55.78/7.95 Prover 20: Proving ... % 103.16/13.93 Prover 5: stopped % 103.16/13.93 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 103.16/13.96 Prover 21: Preprocessing ... % 103.16/13.98 Prover 21: Proving ... % 133.68/17.85 Prover 6: stopped % 157.27/21.31 Prover 17: stopped % 223.32/34.03 Prover 14: stopped %------------------------------------------------------------------------------