%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU257+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.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 : Thu Aug 31 17:43:41 EDT 2023 % Result : Theorem 5.01s 1.46s % Output : Proof 7.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU257+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n020.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Aug 23 20:44:00 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.78/0.98 Prover 1: Preprocessing ... % 1.78/0.98 Prover 4: Preprocessing ... % 2.41/1.02 Prover 2: Preprocessing ... % 2.41/1.02 Prover 0: Preprocessing ... % 2.41/1.02 Prover 3: Preprocessing ... % 2.41/1.02 Prover 6: Preprocessing ... % 2.41/1.02 Prover 5: Preprocessing ... % 3.89/1.28 Prover 1: Warning: ignoring some quantifiers % 3.89/1.29 Prover 3: Warning: ignoring some quantifiers % 3.89/1.31 Prover 3: Constructing countermodel ... % 3.89/1.31 Prover 6: Proving ... % 3.89/1.31 Prover 5: Proving ... % 4.51/1.31 Prover 1: Constructing countermodel ... % 4.51/1.31 Prover 2: Proving ... % 4.51/1.32 Prover 4: Constructing countermodel ... % 4.51/1.37 Prover 0: Proving ... % 5.01/1.46 Prover 3: proved (823ms) % 5.01/1.46 % 5.01/1.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.01/1.46 % 5.01/1.46 Prover 2: stopped % 5.01/1.46 Prover 6: stopped % 5.01/1.46 Prover 5: stopped % 5.01/1.46 Prover 0: stopped % 5.01/1.46 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.01/1.46 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.01/1.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.01/1.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.01/1.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 5.01/1.48 Prover 7: Preprocessing ... % 5.01/1.49 Prover 8: Preprocessing ... % 5.01/1.49 Prover 13: Preprocessing ... % 5.01/1.50 Prover 11: Preprocessing ... % 5.01/1.51 Prover 10: Preprocessing ... % 5.01/1.55 Prover 7: Constructing countermodel ... % 5.01/1.56 Prover 8: Warning: ignoring some quantifiers % 5.01/1.57 Prover 10: Constructing countermodel ... % 5.01/1.58 Prover 13: Warning: ignoring some quantifiers % 5.01/1.59 Prover 8: Constructing countermodel ... % 6.58/1.61 Prover 13: Constructing countermodel ... % 6.73/1.65 Prover 10: Found proof (size 16) % 6.73/1.65 Prover 10: proved (193ms) % 6.73/1.65 Prover 1: stopped % 6.73/1.65 Prover 8: stopped % 6.73/1.66 Prover 7: stopped % 6.73/1.66 Prover 11: Constructing countermodel ... % 6.73/1.67 Prover 11: stopped % 6.73/1.67 Prover 4: stopped % 6.73/1.67 Prover 13: stopped % 6.73/1.67 % 6.73/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.73/1.67 % 6.73/1.67 % SZS output start Proof for theBenchmark % 6.73/1.68 Assumptions after simplification: % 6.73/1.68 --------------------------------- % 6.73/1.68 % 6.73/1.68 (d4_wellord1) % 6.73/1.69 ! [v0: $i] : ( ~ $i(v0) | ~ well_founded_relation(v0) | ~ connected(v0) | % 6.73/1.69 ~ antisymmetric(v0) | ~ transitive(v0) | ~ reflexive(v0) | ~ relation(v0) % 6.73/1.69 | well_ordering(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ % 6.73/1.69 relation(v0) | well_founded_relation(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 6.73/1.69 well_ordering(v0) | ~ relation(v0) | connected(v0)) & ! [v0: $i] : ( ~ % 6.73/1.69 $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | antisymmetric(v0)) & ! % 6.73/1.69 [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 6.73/1.69 transitive(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ % 6.73/1.69 relation(v0) | reflexive(v0)) % 6.73/1.69 % 6.73/1.69 (dt_k2_wellord1) % 6.73/1.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v0, v1) = % 6.73/1.71 v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v0) | relation(v2)) % 6.73/1.71 % 6.73/1.71 (t22_wellord1) % 6.73/1.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v1, v0) = % 6.73/1.71 v2) | ~ $i(v1) | ~ $i(v0) | ~ reflexive(v1) | ~ relation(v1) | % 6.73/1.71 reflexive(v2)) % 6.73/1.71 % 6.73/1.71 (t23_wellord1) % 6.73/1.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v1, v0) = % 6.73/1.71 v2) | ~ $i(v1) | ~ $i(v0) | ~ connected(v1) | ~ relation(v1) | % 6.73/1.71 connected(v2)) % 6.73/1.71 % 6.73/1.71 (t24_wellord1) % 6.73/1.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v1, v0) = % 6.73/1.71 v2) | ~ $i(v1) | ~ $i(v0) | ~ transitive(v1) | ~ relation(v1) | % 6.73/1.71 transitive(v2)) % 6.73/1.71 % 6.73/1.71 (t25_wellord1) % 6.73/1.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v1, v0) = % 6.73/1.72 v2) | ~ $i(v1) | ~ $i(v0) | ~ antisymmetric(v1) | ~ relation(v1) | % 6.73/1.72 antisymmetric(v2)) % 6.73/1.72 % 6.73/1.72 (t31_wellord1) % 6.73/1.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_restriction(v1, v0) = % 6.73/1.72 v2) | ~ $i(v1) | ~ $i(v0) | ~ well_founded_relation(v1) | ~ % 6.73/1.72 relation(v1) | well_founded_relation(v2)) % 6.73/1.72 % 6.73/1.72 (t32_wellord1) % 6.73/1.72 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (relation_restriction(v1, v0) = v2 & % 6.73/1.72 $i(v2) & $i(v1) & $i(v0) & well_ordering(v1) & relation(v1) & ~ % 6.73/1.72 well_ordering(v2)) % 6.73/1.72 % 6.73/1.72 Further assumptions not needed in the proof: % 6.73/1.72 -------------------------------------------- % 6.73/1.72 commutativity_k3_xboole_0, d6_wellord1, dt_k2_zfmisc_1, dt_k3_xboole_0, % 6.73/1.72 idempotence_k3_xboole_0 % 6.73/1.72 % 6.73/1.72 Those formulas are unsatisfiable: % 6.73/1.72 --------------------------------- % 6.73/1.72 % 6.73/1.72 Begin of proof % 7.22/1.72 | % 7.22/1.72 | ALPHA: (d4_wellord1) implies: % 7.22/1.72 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 7.22/1.72 | reflexive(v0)) % 7.22/1.72 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 7.22/1.72 | transitive(v0)) % 7.22/1.72 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 7.22/1.72 | antisymmetric(v0)) % 7.22/1.73 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 7.22/1.73 | connected(v0)) % 7.22/1.73 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ well_ordering(v0) | ~ relation(v0) | % 7.22/1.73 | well_founded_relation(v0)) % 7.22/1.73 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ well_founded_relation(v0) | ~ % 7.22/1.73 | connected(v0) | ~ antisymmetric(v0) | ~ transitive(v0) | ~ % 7.22/1.73 | reflexive(v0) | ~ relation(v0) | well_ordering(v0)) % 7.22/1.73 | % 7.22/1.73 | DELTA: instantiating (t32_wellord1) with fresh symbols all_13_0, all_13_1, % 7.22/1.73 | all_13_2 gives: % 7.22/1.73 | (7) relation_restriction(all_13_1, all_13_2) = all_13_0 & $i(all_13_0) & % 7.22/1.73 | $i(all_13_1) & $i(all_13_2) & well_ordering(all_13_1) & % 7.22/1.73 | relation(all_13_1) & ~ well_ordering(all_13_0) % 7.22/1.73 | % 7.22/1.73 | ALPHA: (7) implies: % 7.22/1.73 | (8) ~ well_ordering(all_13_0) % 7.22/1.73 | (9) relation(all_13_1) % 7.22/1.73 | (10) well_ordering(all_13_1) % 7.22/1.73 | (11) $i(all_13_2) % 7.22/1.73 | (12) $i(all_13_1) % 7.22/1.73 | (13) $i(all_13_0) % 7.22/1.73 | (14) relation_restriction(all_13_1, all_13_2) = all_13_0 % 7.22/1.73 | % 7.22/1.73 | GROUND_INST: instantiating (5) with all_13_1, simplifying with (9), (10), (12) % 7.22/1.73 | gives: % 7.22/1.73 | (15) well_founded_relation(all_13_1) % 7.22/1.73 | % 7.22/1.73 | GROUND_INST: instantiating (4) with all_13_1, simplifying with (9), (10), (12) % 7.22/1.73 | gives: % 7.22/1.73 | (16) connected(all_13_1) % 7.22/1.73 | % 7.22/1.73 | GROUND_INST: instantiating (3) with all_13_1, simplifying with (9), (10), (12) % 7.22/1.73 | gives: % 7.22/1.73 | (17) antisymmetric(all_13_1) % 7.22/1.73 | % 7.22/1.73 | GROUND_INST: instantiating (2) with all_13_1, simplifying with (9), (10), (12) % 7.22/1.73 | gives: % 7.22/1.73 | (18) transitive(all_13_1) % 7.22/1.73 | % 7.22/1.73 | GROUND_INST: instantiating (1) with all_13_1, simplifying with (9), (10), (12) % 7.22/1.73 | gives: % 7.22/1.73 | (19) reflexive(all_13_1) % 7.22/1.73 | % 7.22/1.74 | GROUND_INST: instantiating (dt_k2_wellord1) with all_13_1, all_13_2, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14) gives: % 7.22/1.74 | (20) relation(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (t22_wellord1) with all_13_2, all_13_1, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14), (19) gives: % 7.22/1.74 | (21) reflexive(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (t24_wellord1) with all_13_2, all_13_1, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14), (18) gives: % 7.22/1.74 | (22) transitive(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (t25_wellord1) with all_13_2, all_13_1, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14), (17) gives: % 7.22/1.74 | (23) antisymmetric(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (t23_wellord1) with all_13_2, all_13_1, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14), (16) gives: % 7.22/1.74 | (24) connected(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (t31_wellord1) with all_13_2, all_13_1, all_13_0, % 7.22/1.74 | simplifying with (9), (11), (12), (14), (15) gives: % 7.22/1.74 | (25) well_founded_relation(all_13_0) % 7.22/1.74 | % 7.22/1.74 | GROUND_INST: instantiating (6) with all_13_0, simplifying with (8), (13), % 7.22/1.74 | (20), (21), (22), (23), (24), (25) gives: % 7.22/1.74 | (26) $false % 7.22/1.74 | % 7.22/1.74 | CLOSE: (26) is inconsistent. % 7.22/1.74 | % 7.22/1.74 End of proof % 7.22/1.74 % SZS output end Proof for theBenchmark % 7.22/1.74 % 7.22/1.74 1134ms %------------------------------------------------------------------------------