%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.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 : Mon Jul 18 16:45:11 EDT 2022 % Result : Theorem 1.93s 1.09s % Output : Proof 2.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 2 01:24:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.53/0.58 ____ _ % 0.53/0.58 ___ / __ \_____(_)___ ________ __________ % 0.53/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.59 % 0.53/0.59 A Theorem Prover for First-Order Logic % 0.53/0.59 (ePrincess v.1.0) % 0.53/0.59 % 0.53/0.59 (c) Philipp Rümmer, 2009-2015 % 0.53/0.59 (c) Peter Backeman, 2014-2015 % 0.53/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.59 Bug reports to peter@backeman.se % 0.53/0.59 % 0.53/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.59 % 0.53/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.41/0.90 Prover 0: Preprocessing ... % 1.63/1.00 Prover 0: Constructing countermodel ... % 1.93/1.09 Prover 0: proved (449ms) % 1.93/1.09 % 1.93/1.09 No countermodel exists, formula is valid % 1.93/1.09 % SZS status Theorem for theBenchmark % 1.93/1.09 % 1.93/1.09 Generating proof ... found it (size 9) % 2.38/1.24 % 2.38/1.24 % SZS output start Proof for theBenchmark % 2.38/1.24 Assumed formulas after preprocessing and simplification: % 2.38/1.24 | (0) is_the(god, none_greater) & ~ exemplifies_property(existence, god) & ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ is_the(v1, v0) | ~ object(v2) | ~ object(v1) | ~ property(v0) | exemplifies_property(v0, v1)) & ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0)) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) & ! [v0] : ( ~ exemplifies_property(conceivable, v0) | ~ object(v0) | exemplifies_property(none_greater, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) & ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0)) & ! [v0] : ( ~ is_the(v0, none_greater) | ~ object(v0) | exemplifies_property(existence, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) % 2.38/1.25 | Applying alpha-rule on (0) yields: % 2.38/1.25 | (1) ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ is_the(v1, v0) | ~ object(v2) | ~ object(v1) | ~ property(v0) | exemplifies_property(v0, v1)) % 2.41/1.25 | (2) ~ exemplifies_property(existence, god) % 2.41/1.25 | (3) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) % 2.41/1.25 | (4) is_the(god, none_greater) % 2.41/1.25 | (5) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) % 2.41/1.25 | (6) ! [v0] : ( ~ is_the(v0, none_greater) | ~ object(v0) | exemplifies_property(existence, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) % 2.41/1.25 | (7) ! [v0] : ( ~ exemplifies_property(conceivable, v0) | ~ object(v0) | exemplifies_property(none_greater, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) % 2.41/1.25 | (8) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0)) % 2.41/1.25 | (9) ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0)) % 2.41/1.25 | % 2.41/1.25 | Instantiating formula (3) with none_greater, god and discharging atoms is_the(god, none_greater), yields: % 2.41/1.25 | (10) object(god) % 2.41/1.25 | % 2.41/1.25 | Instantiating formula (5) with none_greater, god and discharging atoms is_the(god, none_greater), yields: % 2.41/1.25 | (11) property(none_greater) % 2.41/1.26 | % 2.41/1.26 | Instantiating formula (6) with god and discharging atoms is_the(god, none_greater), object(god), ~ exemplifies_property(existence, god), yields: % 2.41/1.26 | (12) ? [v0] : (exemplifies_relation(greater_than, v0, god) & exemplifies_property(conceivable, v0) & object(v0)) % 2.41/1.26 | % 2.41/1.26 | Instantiating formula (1) with god, god, none_greater and discharging atoms is_the(god, none_greater), object(god), property(none_greater), yields: % 2.41/1.26 | (13) exemplifies_property(none_greater, god) % 2.41/1.26 | % 2.41/1.26 | Instantiating (12) with all_14_0_0 yields: % 2.41/1.26 | (14) exemplifies_relation(greater_than, all_14_0_0, god) & exemplifies_property(conceivable, all_14_0_0) & object(all_14_0_0) % 2.41/1.26 | % 2.41/1.26 | Applying alpha-rule on (14) yields: % 2.41/1.26 | (15) exemplifies_relation(greater_than, all_14_0_0, god) % 2.41/1.26 | (16) exemplifies_property(conceivable, all_14_0_0) % 2.41/1.26 | (17) object(all_14_0_0) % 2.41/1.26 | % 2.41/1.26 | Instantiating formula (9) with all_14_0_0, god and discharging atoms exemplifies_relation(greater_than, all_14_0_0, god), exemplifies_property(conceivable, all_14_0_0), exemplifies_property(none_greater, god), object(all_14_0_0), object(god), yields: % 2.41/1.26 | (18) $false % 2.41/1.26 | % 2.41/1.26 |-The branch is then unsatisfiable % 2.41/1.26 % SZS output end Proof for theBenchmark % 2.41/1.26 % 2.41/1.26 663ms %------------------------------------------------------------------------------