%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL393+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 : n003.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 12:54:04 PM UTC 2026 % Result : Unknown 0.17s 44.18s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL393+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.37 % Computer : n003.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 19:15:21 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.39 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. % 0.69/0.72 ________ _____ % 0.69/0.72 ___ __ \_________(_)________________________________ % 0.69/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.69/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.69/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.69/0.72 % 0.69/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.69/0.72 (2023-06-19) % 0.69/0.72 % 0.69/0.72 (c) Philipp Rümmer, 2009-2023 % 0.69/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.69/0.72 Amanda Stjerna. % 0.69/0.72 Free software under BSD-3-Clause. % 0.69/0.72 % 0.69/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.69/0.72 % 0.69/0.72 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.74 Running up to 7 provers in parallel. % 0.69/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.69/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.69/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.69/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.69/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.69/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.69/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.12/1.08 Prover 1: Preprocessing ... % 2.12/1.08 Prover 4: Preprocessing ... % 2.12/1.15 Prover 2: Preprocessing ... % 2.12/1.15 Prover 0: Preprocessing ... % 2.12/1.15 Prover 6: Preprocessing ... % 2.12/1.15 Prover 3: Preprocessing ... % 2.80/1.15 Prover 5: Preprocessing ... % 3.97/1.33 Prover 3: Constructing countermodel ... % 3.97/1.33 Prover 6: Constructing countermodel ... % 3.97/1.33 Prover 5: Proving ... % 3.97/1.34 Prover 4: Constructing countermodel ... % 3.97/1.34 Prover 0: Proving ... % 3.97/1.34 Prover 1: Constructing countermodel ... % 3.97/1.35 Prover 2: Proving ... % 4.72/1.46 Prover 3: gave up % 4.72/1.47 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.72/1.47 Prover 1: gave up % 4.72/1.48 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.72/1.49 Prover 6: gave up % 4.72/1.49 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.51/1.50 Prover 8: Preprocessing ... % 5.51/1.50 Prover 9: Preprocessing ... % 5.51/1.52 Prover 7: Preprocessing ... % 5.51/1.56 Prover 9: Constructing countermodel ... % 5.51/1.57 Prover 8: Warning: ignoring some quantifiers % 5.51/1.59 Prover 8: Constructing countermodel ... % 6.24/1.64 Prover 7: Constructing countermodel ... % 7.04/1.70 Prover 8: gave up % 7.04/1.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.04/1.74 Prover 10: Preprocessing ... % 7.83/1.81 Prover 10: Constructing countermodel ... % 7.83/1.84 Prover 10: gave up % 7.83/1.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.83/1.86 Prover 11: Preprocessing ... % 8.63/1.92 Prover 11: Constructing countermodel ... % 8.63/1.98 Prover 4: gave up % 8.63/1.99 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 8.63/2.01 Prover 12: Preprocessing ... % 9.98/2.08 Prover 12: Proving ... % 11.73/2.36 Prover 11: gave up % 11.73/2.37 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.73/2.38 Prover 13: Preprocessing ... % 12.52/2.45 Prover 13: Warning: ignoring some quantifiers % 12.52/2.45 Prover 13: Constructing countermodel ... % 12.52/2.48 Prover 13: gave up % 12.52/2.48 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 12.52/2.49 Prover 14: Preprocessing ... % 14.09/2.61 Prover 14: Proving ... % 32.93/5.12 Prover 12: stopped % 32.93/5.13 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 34.04/5.16 Prover 15: Preprocessing ... % 34.84/5.26 Prover 15: Proving ... % 54.13/7.79 Prover 2: stopped % 54.13/7.80 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 54.94/7.82 Prover 16: Preprocessing ... % 54.94/7.85 Prover 16: Warning: ignoring some quantifiers % 54.94/7.85 Prover 16: Constructing countermodel ... % 55.76/7.92 Prover 16: gave up % 55.76/7.92 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 55.76/7.94 Prover 17: Preprocessing ... % 56.50/8.02 Prover 17: Constructing countermodel ... % 56.50/8.04 Prover 17: gave up % 56.50/8.04 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 56.50/8.06 Prover 18: Preprocessing ... % 56.50/8.10 Prover 18: Warning: ignoring some quantifiers % 56.50/8.11 Prover 18: Constructing countermodel ... % 57.47/8.13 Prover 18: gave up % 57.47/8.13 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 57.47/8.14 Prover 19: Preprocessing ... % 57.47/8.17 Prover 19: Warning: ignoring some quantifiers % 57.47/8.17 Prover 19: Constructing countermodel ... % 57.47/8.20 Prover 19: gave up % 57.47/8.20 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 57.47/8.21 Prover 20: Preprocessing ... % 58.27/8.24 Prover 20: Proving ... % 103.76/14.08 Prover 5: stopped % 103.76/14.09 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 103.76/14.10 Prover 21: Preprocessing ... % 103.76/14.13 Prover 21: Proving ... % 188.14/25.04 Prover 7: stopped % 249.03/34.15 Prover 14: stopped 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