%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL942_2 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n029.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 12:55:08 PM UTC 2026 % Result : Unknown 0.16s 39.81s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL942_2 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.37 % Computer : n029.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 : Sun Sep 6 01:29:10 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. % 0.70/0.72 ________ _____ % 0.70/0.72 ___ __ \_________(_)________________________________ % 0.70/0.72 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.70/0.72 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.70/0.72 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.70/0.72 % 0.70/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.70/0.72 (2023-06-19) % 0.70/0.72 % 0.70/0.72 (c) Philipp Rümmer, 2009-2023 % 0.70/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.70/0.72 Amanda Stjerna. % 0.70/0.72 Free software under BSD-3-Clause. % 0.70/0.72 % 0.70/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.70/0.72 % 0.70/0.73 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.75 Running up to 7 provers in parallel. % 0.70/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.70/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.70/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.70/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.70/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.70/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.70/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 11.58/2.46 Prover 4: Preprocessing ... % 12.37/2.60 Prover 5: Preprocessing ... % 12.37/2.60 Prover 6: Preprocessing ... % 12.37/2.60 Prover 3: Preprocessing ... % 12.37/2.60 Prover 2: Preprocessing ... % 13.11/2.60 Prover 0: Preprocessing ... % 13.11/2.62 Prover 1: Preprocessing ... % 28.01/4.52 Prover 2: Proving ... % 28.83/4.61 Prover 5: Proving ... % 33.47/5.21 Prover 3: Warning: ignoring some quantifiers % 33.47/5.28 Prover 3: Constructing countermodel ... % 34.29/5.32 Prover 6: Proving ... % 35.05/5.47 Prover 1: Warning: ignoring some quantifiers % 35.80/5.51 Prover 1: Constructing countermodel ... % 37.37/5.74 Prover 4: Warning: ignoring some quantifiers % 38.17/5.87 Prover 4: Constructing countermodel ... % 39.00/5.90 Prover 0: Proving ... % 87.33/12.07 Prover 2: stopped % 87.33/12.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 92.20/12.76 Prover 7: Preprocessing ... % 94.97/13.12 Prover 7: Warning: ignoring some quantifiers % 94.97/13.15 Prover 7: Constructing countermodel ... % 102.98/14.09 Prover 5: stopped % 102.98/14.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 106.90/14.62 Prover 8: Preprocessing ... % 108.49/14.85 Prover 8: Warning: ignoring some quantifiers % 108.49/14.87 Prover 8: Constructing countermodel ... % 118.16/16.12 Prover 1: stopped % 118.16/16.12 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 120.88/16.42 Prover 9: Preprocessing ... % 125.86/17.14 Prover 9: Warning: ignoring some quantifiers % 125.86/17.16 Prover 9: Constructing countermodel ... % 132.56/18.01 Prover 6: stopped % 132.56/18.01 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 138.75/18.70 Prover 10: Preprocessing ... % 140.33/18.96 Prover 10: Warning: ignoring some quantifiers % 140.33/18.98 Prover 10: Constructing countermodel ... % 155.96/20.95 Prover 3: gave up % 155.96/20.95 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 161.34/21.66 Prover 11: Preprocessing ... % 169.17/22.63 Prover 11: Warning: ignoring some quantifiers % 169.17/22.69 Prover 11: Constructing countermodel ... % 211.47/28.13 Prover 4: stopped % 211.47/28.13 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 217.59/28.87 Prover 12: Preprocessing ... % 228.76/30.27 Prover 12: Proving ... % 234.63/31.13 Prover 12: stopped % 234.63/31.14 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 238.54/31.51 Prover 7: stopped % 238.54/31.51 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 239.35/31.65 Prover 13: Preprocessing ... % 242.54/32.03 Prover 14: Preprocessing ... % 242.54/32.03 Prover 13: Warning: ignoring some quantifiers % 242.54/32.05 Prover 13: Constructing countermodel ... % 246.44/32.52 Prover 14: Proving ... % 260.34/34.28 Prover 13: stopped % 260.34/34.29 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 264.61/34.84 Prover 15: Preprocessing ... % 272.37/35.85 Prover 15: Proving ... %------------------------------------------------------------------------------