%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n009.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 : Tue Sep 8 06:17:32 AM UTC 2026 % Result : Unsatisfiable 7.22s 1.79s % Output : Proof 13.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.34 % Computer : n009.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Mon Sep 7 14:42:52 UTC 2026 % 0.08/0.34 % CPUTime : % 0.12/0.36 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. % 0.68/0.70 ________ _____ % 0.68/0.70 ___ __ \_________(_)________________________________ % 0.68/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.68/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.68/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.68/0.70 % 0.68/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.68/0.70 (2023-06-19) % 0.68/0.70 % 0.68/0.70 (c) Philipp Rümmer, 2009-2023 % 0.68/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.68/0.70 Amanda Stjerna. % 0.68/0.70 Free software under BSD-3-Clause. % 0.68/0.70 % 0.68/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.68/0.70 % 0.68/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.73 Running up to 7 provers in parallel. % 0.68/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.68/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.42/1.29 Prover 4: Preprocessing ... % 3.42/1.29 Prover 1: Preprocessing ... % 4.16/1.36 Prover 2: Preprocessing ... % 4.16/1.36 Prover 3: Preprocessing ... % 4.16/1.37 Prover 5: Preprocessing ... % 4.16/1.37 Prover 6: Preprocessing ... % 4.16/1.37 Prover 0: Preprocessing ... % 7.22/1.73 Prover 2: Constructing countermodel ... % 7.22/1.73 Prover 5: Constructing countermodel ... % 7.22/1.78 Prover 2: proved (1042ms) % 7.22/1.78 Prover 5: proved (1041ms) % 7.22/1.78 % 7.22/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.22/1.79 % 7.22/1.79 % 7.22/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.22/1.79 % 7.22/1.80 Prover 6: Constructing countermodel ... % 7.22/1.80 Prover 6: proved (1043ms) % 7.22/1.80 % 7.22/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.22/1.80 % 8.03/1.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.03/1.80 Prover 3: Constructing countermodel ... % 8.03/1.80 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.03/1.80 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.03/1.81 Prover 3: stopped % 8.03/1.81 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.03/1.86 Prover 7: Preprocessing ... % 8.03/1.88 Prover 8: Preprocessing ... % 8.03/1.89 Prover 0: Constructing countermodel ... % 8.03/1.89 Prover 0: stopped % 8.83/1.91 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.83/1.91 Prover 10: Preprocessing ... % 8.83/1.93 Prover 11: Preprocessing ... % 8.83/1.98 Prover 7: Warning: ignoring some quantifiers % 9.89/2.04 Prover 13: Preprocessing ... % 9.89/2.06 Prover 1: Constructing countermodel ... % 9.89/2.06 Prover 7: Constructing countermodel ... % 10.67/2.15 Prover 10: Warning: ignoring some quantifiers % 10.67/2.17 Prover 10: Constructing countermodel ... % 10.67/2.20 Prover 1: Found proof (size 7) % 10.67/2.20 Prover 1: proved (1464ms) % 10.67/2.20 Prover 7: Found proof (size 7) % 10.67/2.20 Prover 7: proved (405ms) % 11.15/2.22 Prover 10: stopped % 11.83/2.31 Prover 13: Warning: ignoring some quantifiers % 11.83/2.34 Prover 13: Constructing countermodel ... % 11.83/2.35 Prover 4: Constructing countermodel ... % 11.83/2.36 Prover 8: Warning: ignoring some quantifiers % 11.83/2.37 Prover 13: stopped % 11.83/2.39 Prover 8: Constructing countermodel ... % 12.60/2.42 Prover 4: stopped % 12.60/2.42 Prover 8: stopped % 12.60/2.48 Prover 11: Constructing countermodel ... % 13.14/2.52 Prover 11: stopped % 13.14/2.52 % 13.14/2.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.14/2.52 % 13.14/2.53 % SZS output start Proof for theBenchmark % 13.14/2.54 Assumptions after simplification: % 13.14/2.54 --------------------------------- % 13.14/2.54 % 13.14/2.54 (distinct) % 13.14/2.55 ~ (v800 = v600) & $i(v800) & $i(v600) % 13.14/2.55 % 13.14/2.55 (wit_eq1) % 13.14/2.55 w = v600 & $i(v600) % 13.14/2.55 % 13.14/2.55 (wit_eq2) % 13.14/2.55 w = v800 & $i(v800) % 13.14/2.55 % 13.14/2.55 Further assumptions not needed in the proof: % 13.14/2.55 -------------------------------------------- % 13.14/2.55 axis_compatible_def, axis_conflict_def, axis_subsumes_def, box_compatible, % 13.14/2.55 box_conflict, box_unknown, box_verdict_total, compatible_is_verdict, % 13.14/2.55 conflict_is_verdict, in_closed, in_lopen, in_open, in_ropen, irreflexive, % 13.14/2.55 leq_antisym, leq_def, leq_less_trans, leq_trans, less_implies_leq, % 13.14/2.55 less_leq_trans, ord_v600_v800, transitive, trichotomy, unknown_is_verdict, % 13.14/2.55 val_v600, val_v800, verdict_enum, verdicts_distinct_cf_cp, % 13.14/2.55 verdicts_distinct_cf_un, verdicts_distinct_cp_un % 13.14/2.55 % 13.14/2.55 Those formulas are unsatisfiable: % 13.14/2.55 --------------------------------- % 13.14/2.55 % 13.14/2.55 Begin of proof % 13.14/2.55 | % 13.14/2.55 | ALPHA: (distinct) implies: % 13.14/2.56 | (1) ~ (v800 = v600) % 13.14/2.56 | % 13.14/2.56 | ALPHA: (wit_eq1) implies: % 13.14/2.56 | (2) w = v600 % 13.14/2.56 | % 13.14/2.56 | ALPHA: (wit_eq2) implies: % 13.14/2.56 | (3) w = v800 % 13.14/2.56 | % 13.14/2.56 | COMBINE_EQS: (2), (3) imply: % 13.14/2.56 | (4) v800 = v600 % 13.14/2.56 | % 13.14/2.56 | SIMP: (4) implies: % 13.14/2.56 | (5) v800 = v600 % 13.14/2.56 | % 13.14/2.56 | REDUCE: (1), (5) imply: % 13.14/2.56 | (6) $false % 13.14/2.56 | % 13.14/2.56 | CLOSE: (6) is inconsistent. % 13.14/2.56 | % 13.14/2.56 End of proof % 13.14/2.56 % SZS output end Proof for theBenchmark % 13.14/2.56 % 13.14/2.56 1858ms %------------------------------------------------------------------------------