%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n012.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 : 600s % DateTime : Tue Jul 19 08:48:23 EDT 2022 % Result : Theorem 2.07s 1.20s % Output : Proof 2.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.32 % Computer : n012.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Sun Jun 19 03:10:38 EDT 2022 % 0.11/0.32 % CPUTime : % 0.58/0.58 ____ _ % 0.58/0.58 ___ / __ \_____(_)___ ________ __________ % 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.58/0.58 % 0.58/0.58 A Theorem Prover for First-Order Logic % 0.58/0.58 (ePrincess v.1.0) % 0.58/0.58 % 0.58/0.58 (c) Philipp Rümmer, 2009-2015 % 0.58/0.58 (c) Peter Backeman, 2014-2015 % 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.58/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.58/0.58 Bug reports to peter@backeman.se % 0.58/0.58 % 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.58/0.58 % 0.58/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.42/0.96 Prover 0: Preprocessing ... % 1.79/1.10 Prover 0: Constructing countermodel ... % 2.07/1.20 Prover 0: proved (541ms) % 2.07/1.20 % 2.07/1.20 No countermodel exists, formula is valid % 2.07/1.20 % SZS status Theorem for theBenchmark % 2.07/1.20 % 2.07/1.20 Generating proof ... found it (size 10) % 2.47/1.38 % 2.47/1.38 % SZS output start Proof for theBenchmark % 2.47/1.38 Assumed formulas after preprocessing and simplification: % 2.62/1.38 | (0) ? [v0] : ? [v1] : ? [v2] : (inclusion_relation(v0) = v1 & epsilon_connected(v2) & epsilon_transitive(v2) & ordinal(v2) & ordinal(v0) & ~ well_ordering(v1) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (inclusion_relation(v5) = v4) | ~ (inclusion_relation(v5) = v3)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | ~ ordinal(v3) | well_founded_relation(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | ~ ordinal(v3) | connected(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | antisymmetric(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | transitive(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | reflexive(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | relation(v4)) & ! [v3] : ( ~ well_founded_relation(v3) | ~ connected(v3) | ~ antisymmetric(v3) | ~ transitive(v3) | ~ reflexive(v3) | ~ relation(v3) | well_ordering(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | well_founded_relation(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | connected(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | antisymmetric(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | transitive(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | reflexive(v3)) & ! [v3] : ( ~ epsilon_connected(v3) | ~ epsilon_transitive(v3) | ordinal(v3)) & ! [v3] : ( ~ ordinal(v3) | epsilon_connected(v3)) & ! [v3] : ( ~ ordinal(v3) | epsilon_transitive(v3))) % 2.62/1.42 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields: % 2.62/1.42 | (1) inclusion_relation(all_0_2_2) = all_0_1_1 & epsilon_connected(all_0_0_0) & epsilon_transitive(all_0_0_0) & ordinal(all_0_0_0) & ordinal(all_0_2_2) & ~ well_ordering(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inclusion_relation(v2) = v1) | ~ (inclusion_relation(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | well_founded_relation(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | connected(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1)) & ! [v0] : ( ~ well_founded_relation(v0) | ~ connected(v0) | ~ antisymmetric(v0) | ~ transitive(v0) | ~ reflexive(v0) | ~ relation(v0) | well_ordering(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | well_founded_relation(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | connected(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | antisymmetric(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | transitive(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | reflexive(v0)) & ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) % 2.62/1.42 | % 2.62/1.42 | Applying alpha-rule on (1) yields: % 2.62/1.42 | (2) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | connected(v0)) % 2.62/1.42 | (3) ! [v0] : ( ~ well_founded_relation(v0) | ~ connected(v0) | ~ antisymmetric(v0) | ~ transitive(v0) | ~ reflexive(v0) | ~ relation(v0) | well_ordering(v0)) % 2.62/1.43 | (4) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1)) % 2.62/1.43 | (5) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | reflexive(v0)) % 2.62/1.43 | (6) epsilon_transitive(all_0_0_0) % 2.62/1.43 | (7) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | transitive(v0)) % 2.62/1.43 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inclusion_relation(v2) = v1) | ~ (inclusion_relation(v2) = v0)) % 2.62/1.43 | (9) ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) % 2.62/1.43 | (10) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1)) % 2.62/1.43 | (11) epsilon_connected(all_0_0_0) % 2.62/1.43 | (12) ordinal(all_0_0_0) % 2.62/1.43 | (13) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1)) % 2.62/1.43 | (14) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | antisymmetric(v0)) % 2.62/1.43 | (15) ~ well_ordering(all_0_1_1) % 2.62/1.43 | (16) ordinal(all_0_2_2) % 2.62/1.43 | (17) ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) % 2.62/1.43 | (18) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | well_founded_relation(v1)) % 2.62/1.43 | (19) ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) % 2.62/1.43 | (20) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1)) % 2.62/1.43 | (21) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | well_founded_relation(v0)) % 2.62/1.43 | (22) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | connected(v1)) % 2.62/1.43 | (23) inclusion_relation(all_0_2_2) = all_0_1_1 % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (20) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields: % 2.62/1.43 | (24) antisymmetric(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (10) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields: % 2.62/1.43 | (25) transitive(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (13) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields: % 2.62/1.43 | (26) reflexive(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (4) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields: % 2.62/1.43 | (27) relation(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (18) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, ordinal(all_0_2_2), yields: % 2.62/1.43 | (28) well_founded_relation(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (22) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, ordinal(all_0_2_2), yields: % 2.62/1.43 | (29) connected(all_0_1_1) % 2.62/1.43 | % 2.62/1.43 | Instantiating formula (3) with all_0_1_1 and discharging atoms well_founded_relation(all_0_1_1), connected(all_0_1_1), antisymmetric(all_0_1_1), transitive(all_0_1_1), reflexive(all_0_1_1), relation(all_0_1_1), ~ well_ordering(all_0_1_1), yields: % 2.62/1.43 | (30) $false % 2.62/1.43 | % 2.62/1.44 |-The branch is then unsatisfiable % 2.62/1.44 % SZS output end Proof for theBenchmark % 2.62/1.44 % 2.62/1.44 836ms %------------------------------------------------------------------------------