%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SYN000+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 1 03:26:08 EDT 2023 % Result : Theorem 5.20s 1.47s % Output : Proof 6.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN000+1 : TPTP v8.1.2. Released v4.0.0. % 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n024.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Sat Aug 26 20:58:23 EDT 2023 % 0.14/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.15/1.03 Prover 1: Preprocessing ... % 2.15/1.03 Prover 4: Preprocessing ... % 2.63/1.08 Prover 3: Preprocessing ... % 2.63/1.08 Prover 6: Preprocessing ... % 2.63/1.08 Prover 0: Preprocessing ... % 2.63/1.08 Prover 2: Preprocessing ... % 2.63/1.08 Prover 5: Preprocessing ... % 3.67/1.33 Prover 3: Constructing countermodel ... % 3.67/1.34 Prover 1: Constructing countermodel ... % 3.67/1.34 Prover 2: Proving ... % 3.67/1.34 Prover 5: Proving ... % 3.67/1.35 Prover 6: Proving ... % 4.64/1.42 Prover 4: Constructing countermodel ... % 4.64/1.42 Prover 0: Proving ... % 5.20/1.47 Prover 3: proved (840ms) % 5.20/1.47 % 5.20/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.20/1.47 % 5.20/1.47 Prover 5: stopped % 5.20/1.47 Prover 2: stopped % 5.20/1.47 Prover 6: stopped % 5.20/1.47 Prover 0: stopped % 5.20/1.47 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.20/1.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.20/1.47 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.20/1.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.20/1.48 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 5.20/1.50 Prover 11: Preprocessing ... % 5.66/1.51 Prover 7: Preprocessing ... % 5.66/1.51 Prover 10: Preprocessing ... % 5.66/1.51 Prover 8: Preprocessing ... % 5.66/1.51 Prover 13: Preprocessing ... % 6.08/1.61 Prover 1: Found proof (size 3) % 6.08/1.61 Prover 1: proved (990ms) % 6.08/1.61 Prover 4: stopped % 6.08/1.62 Prover 7: Warning: ignoring some quantifiers % 6.08/1.63 Prover 10: Warning: ignoring some quantifiers % 6.08/1.63 Prover 7: Constructing countermodel ... % 6.08/1.64 Prover 7: stopped % 6.08/1.64 Prover 10: Constructing countermodel ... % 6.08/1.64 Prover 10: stopped % 6.77/1.66 Prover 13: Warning: ignoring some quantifiers % 6.77/1.66 Prover 8: Warning: ignoring some quantifiers % 6.77/1.66 Prover 13: Constructing countermodel ... % 6.77/1.67 Prover 13: stopped % 6.77/1.67 Prover 8: Constructing countermodel ... % 6.77/1.67 Prover 8: stopped % 6.77/1.68 Prover 11: Constructing countermodel ... % 6.77/1.69 Prover 11: stopped % 6.77/1.69 % 6.77/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.77/1.69 % 6.77/1.69 % SZS output start Proof for theBenchmark % 6.99/1.69 Assumptions after simplification: % 6.99/1.69 --------------------------------- % 6.99/1.69 % 6.99/1.70 (role_conjecture) % 6.99/1.72 ! [v0: $i] : ( ~ (p(v0) = 0) | ~ $i(v0)) % 6.99/1.72 % 6.99/1.72 (role_hypothesis) % 6.99/1.72 p(h) = 0 & $i(h) % 6.99/1.72 % 6.99/1.72 Further assumptions not needed in the proof: % 6.99/1.72 -------------------------------------------- % 6.99/1.72 123, equality, first_order, ia1, ia2, ia3, propositional, single_quoted, % 6.99/1.72 true_false, useful_connectives % 6.99/1.72 % 6.99/1.72 Those formulas are unsatisfiable: % 6.99/1.72 --------------------------------- % 6.99/1.72 % 6.99/1.72 Begin of proof % 6.99/1.72 | % 6.99/1.72 | ALPHA: (role_hypothesis) implies: % 6.99/1.73 | (1) $i(h) % 6.99/1.73 | (2) p(h) = 0 % 6.99/1.73 | % 6.99/1.73 | GROUND_INST: instantiating (role_conjecture) with h, simplifying with (1), (2) % 6.99/1.73 | gives: % 6.99/1.73 | (3) $false % 6.99/1.73 | % 6.99/1.73 | CLOSE: (3) is inconsistent. % 6.99/1.73 | % 6.99/1.73 End of proof % 6.99/1.73 % SZS output end Proof for theBenchmark % 6.99/1.73 % 6.99/1.73 1133ms %------------------------------------------------------------------------------