%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL422+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 : 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 12:54:07 PM UTC 2026 % Result : Unknown 0.16s 43.16s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL422+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n013.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 : Sat Sep 5 03:45:19 UTC 2026 % 0.02/0.36 % CPUTime : % 0.02/0.38 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. % 0.50/0.57 ________ _____ % 0.50/0.57 ___ __ \_________(_)________________________________ % 0.50/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.50/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.50/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.50/0.57 % 0.50/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.50/0.57 (2023-06-19) % 0.50/0.57 % 0.50/0.57 (c) Philipp Rümmer, 2009-2023 % 0.50/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.50/0.57 Amanda Stjerna. % 0.50/0.57 Free software under BSD-3-Clause. % 0.50/0.58 % 0.50/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.50/0.58 % 0.50/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.50/0.59 Running up to 7 provers in parallel. % 0.50/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.50/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.50/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.50/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.50/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.50/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.50/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.03/0.94 Prover 1: Preprocessing ... % 2.03/0.94 Prover 4: Preprocessing ... % 2.03/1.03 Prover 0: Preprocessing ... % 2.03/1.03 Prover 5: Preprocessing ... % 2.03/1.03 Prover 3: Preprocessing ... % 2.03/1.03 Prover 2: Preprocessing ... % 2.03/1.03 Prover 6: Preprocessing ... % 4.30/1.30 Prover 6: Constructing countermodel ... % 5.06/1.32 Prover 1: Constructing countermodel ... % 5.06/1.37 Prover 5: Proving ... % 5.06/1.39 Prover 0: Proving ... % 5.84/1.40 Prover 3: Constructing countermodel ... % 5.84/1.41 Prover 4: Constructing countermodel ... % 5.84/1.48 Prover 2: Proving ... % 8.98/1.81 Prover 3: gave up % 8.98/1.81 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.98/1.86 Prover 7: Preprocessing ... % 8.98/1.87 Prover 1: gave up % 8.98/1.87 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.80/1.91 Prover 8: Preprocessing ... % 9.80/1.98 Prover 8: Warning: ignoring some quantifiers % 9.80/1.99 Prover 8: Constructing countermodel ... % 9.80/2.04 Prover 7: Constructing countermodel ... % 11.25/2.19 Prover 8: gave up % 11.25/2.19 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 12.10/2.21 Prover 9: Preprocessing ... % 12.10/2.23 Prover 4: gave up % 12.10/2.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.10/2.26 Prover 10: Preprocessing ... % 12.10/2.28 Prover 9: Constructing countermodel ... % 12.85/2.35 Prover 10: Constructing countermodel ... % 13.64/2.44 Prover 9: gave up % 13.64/2.45 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.43/2.50 Prover 11: Preprocessing ... % 14.43/2.56 Prover 10: gave up % 14.43/2.57 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 15.26/2.62 Prover 12: Preprocessing ... % 15.26/2.65 Prover 11: Constructing countermodel ... % 16.06/2.79 Prover 12: Proving ... % 19.94/3.22 Prover 11: gave up % 19.94/3.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.94/3.29 Prover 13: Preprocessing ... % 20.75/3.36 Prover 6: gave up % 20.75/3.36 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 20.75/3.38 Prover 14: Preprocessing ... % 21.52/3.46 Prover 13: Warning: ignoring some quantifiers % 21.52/3.47 Prover 13: Constructing countermodel ... % 22.30/3.53 Prover 14: Proving ... % 23.88/3.71 Prover 13: gave up % 23.88/3.72 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 23.88/3.77 Prover 15: Preprocessing ... % 24.66/3.87 Prover 15: Proving ... % 82.74/11.20 Prover 7: gave up % 82.74/11.22 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 82.74/11.27 Prover 16: Preprocessing ... % 83.58/11.34 Prover 16: Warning: ignoring some quantifiers % 83.58/11.34 Prover 16: Constructing countermodel ... % 85.15/11.58 Prover 16: gave up % 85.15/11.59 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 85.93/11.61 Prover 17: Preprocessing ... % 85.93/11.65 Prover 17: Constructing countermodel ... % 85.93/11.68 Prover 17: gave up % 85.93/11.69 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 86.75/11.71 Prover 18: Preprocessing ... % 86.75/11.74 Prover 18: Warning: ignoring some quantifiers % 86.75/11.74 Prover 18: Constructing countermodel ... % 87.52/11.87 Prover 18: gave up % 87.52/11.88 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 87.52/11.89 Prover 19: Preprocessing ... % 88.31/11.95 Prover 19: Warning: ignoring some quantifiers % 88.31/11.95 Prover 19: Constructing countermodel ... % 89.13/12.09 Prover 19: gave up % 89.13/12.09 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 89.92/12.12 Prover 20: Preprocessing ... % 89.92/12.22 Prover 20: Proving ... % 103.35/13.86 Prover 12: stopped % 103.35/13.87 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 103.35/13.89 Prover 21: Preprocessing ... % 104.15/13.93 Prover 21: Proving ... % 227.19/31.21 Prover 2: stopped %------------------------------------------------------------------------------