%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL422+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 : n001.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 40.33s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL422+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n001.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 13:24:16 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.38 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. % 0.66/0.73 ________ _____ % 0.66/0.73 ___ __ \_________(_)________________________________ % 0.66/0.73 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.73 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.73 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.73 % 0.66/0.73 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.73 (2023-06-19) % 0.66/0.73 % 0.66/0.73 (c) Philipp Rümmer, 2009-2023 % 0.66/0.73 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.73 Amanda Stjerna. % 0.66/0.73 Free software under BSD-3-Clause. % 0.66/0.73 % 0.66/0.73 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.73 % 0.66/0.73 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.75 Running up to 7 provers in parallel. % 0.66/0.77 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.77 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.77 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.77 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.77 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.77 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.77 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.15/1.26 Prover 4: Preprocessing ... % 2.15/1.26 Prover 1: Preprocessing ... % 2.91/1.33 Prover 5: Preprocessing ... % 2.91/1.33 Prover 0: Preprocessing ... % 2.91/1.33 Prover 3: Preprocessing ... % 2.91/1.33 Prover 6: Preprocessing ... % 2.91/1.33 Prover 2: Preprocessing ... % 4.45/1.55 Prover 6: Constructing countermodel ... % 4.45/1.56 Prover 1: Constructing countermodel ... % 4.45/1.57 Prover 5: Proving ... % 4.45/1.57 Prover 0: Proving ... % 4.45/1.59 Prover 3: Constructing countermodel ... % 5.19/1.60 Prover 4: Constructing countermodel ... % 5.19/1.62 Prover 2: Proving ... % 6.72/1.84 Prover 3: gave up % 6.72/1.84 Prover 1: gave up % 6.72/1.85 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.72/1.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.72/1.89 Prover 7: Preprocessing ... % 7.51/1.90 Prover 8: Preprocessing ... % 7.51/1.99 Prover 6: gave up % 7.51/1.99 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.51/2.01 Prover 7: Constructing countermodel ... % 7.51/2.02 Prover 8: Warning: ignoring some quantifiers % 7.51/2.02 Prover 9: Preprocessing ... % 7.51/2.02 Prover 8: Constructing countermodel ... % 8.54/2.06 Prover 9: Constructing countermodel ... % 8.54/2.10 Prover 8: gave up % 8.54/2.10 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.54/2.13 Prover 10: Preprocessing ... % 9.86/2.21 Prover 10: Constructing countermodel ... % 10.68/2.35 Prover 10: gave up % 10.68/2.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.42/2.40 Prover 11: Preprocessing ... % 12.25/2.52 Prover 11: Constructing countermodel ... % 62.42/9.08 Prover 2: stopped % 63.90/9.09 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 63.90/9.11 Prover 12: Preprocessing ... % 63.90/9.18 Prover 12: Proving ... % 77.41/10.81 Prover 12: stopped % 77.41/10.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 77.41/10.85 Prover 13: Preprocessing ... % 78.18/10.93 Prover 13: Warning: ignoring some quantifiers % 78.18/10.93 Prover 13: Constructing countermodel ... % 78.18/11.03 Prover 13: gave up % 78.18/11.04 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 78.18/11.05 Prover 14: Preprocessing ... % 79.44/11.13 Prover 14: Proving ... % 103.20/14.10 Prover 5: stopped % 103.20/14.10 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 103.20/14.13 Prover 15: Preprocessing ... % 104.28/14.25 Prover 15: Proving ... % 197.92/26.19 Prover 7: stopped % 197.92/26.19 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 198.21/26.21 Prover 16: Preprocessing ... % 198.21/26.24 Prover 16: Warning: ignoring some quantifiers % 198.21/26.24 Prover 16: Constructing countermodel ... % 201.40/26.68 Prover 16: gave up % 201.40/26.68 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 202.18/26.71 Prover 17: Preprocessing ... % 202.18/26.75 Prover 17: Constructing countermodel ... % 202.18/26.78 Prover 17: gave up % 202.18/26.79 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 202.99/26.80 Prover 18: Preprocessing ... % 202.99/26.84 Prover 18: Warning: ignoring some quantifiers % 202.99/26.84 Prover 18: Constructing countermodel ... % 202.99/26.88 Prover 18: gave up % 202.99/26.88 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 203.79/26.90 Prover 19: Preprocessing ... % 203.79/26.95 Prover 19: Warning: ignoring some quantifiers % 203.79/26.96 Prover 19: Constructing countermodel ... % 212.81/28.10 Prover 4: stopped % 212.81/28.10 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 212.81/28.12 Prover 20: Preprocessing ... % 213.63/28.19 Prover 20: Proving ... % 226.99/30.00 Prover 19: stopped % 226.99/30.01 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 226.99/30.01 Prover 21: Preprocessing ... % 226.99/30.04 Prover 21: Proving ... % 263.56/34.96 Prover 14: stopped %------------------------------------------------------------------------------