%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PHI013+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 2.12s 1.15s % Output : Proof 2.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n028.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jun 2 01:08:08 EDT 2022 % 0.13/0.34 % CPUTime : % 0.55/0.58 ____ _ % 0.55/0.58 ___ / __ \_____(_)___ ________ __________ % 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.58 % 0.55/0.58 A Theorem Prover for First-Order Logic % 0.55/0.58 (ePrincess v.1.0) % 0.55/0.58 % 0.55/0.58 (c) Philipp Rümmer, 2009-2015 % 0.55/0.59 (c) Peter Backeman, 2014-2015 % 0.55/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.59 Bug reports to peter@backeman.se % 0.55/0.59 % 0.55/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.59 % 0.55/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.77/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.41/0.92 Prover 0: Preprocessing ... % 1.76/1.04 Prover 0: Constructing countermodel ... % 2.12/1.15 Prover 0: proved (515ms) % 2.12/1.15 % 2.12/1.15 No countermodel exists, formula is valid % 2.12/1.15 % SZS status Theorem for theBenchmark % 2.12/1.15 % 2.12/1.15 Generating proof ... found it (size 10) % 2.68/1.32 % 2.68/1.32 % SZS output start Proof for theBenchmark % 2.68/1.32 Assumed formulas after preprocessing and simplification: % 2.68/1.32 | (0) ? [v0] : ? [v1] : (is_the(god, none_greater) & exemplifies_property(none_greater, v1) & object(v1) & ~ exemplifies_property(existence, god) & ! [v2] : ! [v3] : ! [v4] : ( ~ is_the(v4, v2) | ~ is_the(v3, v2) | ~ object(v4) | ~ object(v3) | ~ property(v2) | exemplifies_property(v2, v3)) & ! [v2] : ! [v3] : ( ~ exemplifies_relation(greater_than, v3, v2) | ~ exemplifies_property(conceivable, v3) | ~ exemplifies_property(none_greater, v2) | ~ object(v3) | ~ object(v2)) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | object(v2)) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | property(v3)) & ! [v2] : ! [v3] : ( ~ exemplifies_property(v2, v3) | ~ object(v3) | ~ property(v2) | ? [v4] : (( ~ (v4 = v3) & exemplifies_property(v2, v4) & object(v4)) | (is_the(v4, v2) & object(v4)))) & ! [v2] : ( ~ is_the(v2, none_greater) | ~ object(v2) | exemplifies_property(existence, v2) | ? [v3] : (exemplifies_relation(greater_than, v3, v2) & exemplifies_property(conceivable, v3) & object(v3))) & ! [v2] : ( ~ exemplifies_property(conceivable, v2) | ~ object(v2) | exemplifies_property(none_greater, v2) | ? [v3] : (exemplifies_relation(greater_than, v3, v2) & exemplifies_property(conceivable, v3) & object(v3))) & ! [v2] : ( ~ exemplifies_property(none_greater, v2) | ~ object(v2) | exemplifies_property(conceivable, v2)) & ( ! [v2] : ( ~ exemplifies_property(none_greater, v2) | ~ object(v2)) | (exemplifies_property(none_greater, v0) & object(v0) & ! [v2] : (v2 = v0 | ~ exemplifies_property(none_greater, v2) | ~ object(v2))))) % 2.68/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 2.68/1.33 | (1) is_the(god, none_greater) & exemplifies_property(none_greater, all_0_0_0) & object(all_0_0_0) & ~ 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] : ! [v1] : ( ~ exemplifies_property(v0, v1) | ~ object(v1) | ~ property(v0) | ? [v2] : (( ~ (v2 = v1) & exemplifies_property(v0, v2) & object(v2)) | (is_the(v2, v0) & object(v2)))) & ! [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))) & ! [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] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0)) | (exemplifies_property(none_greater, all_0_1_1) & object(all_0_1_1) & ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(none_greater, v0) | ~ object(v0)))) % 2.68/1.34 | % 2.68/1.34 | Applying alpha-rule on (1) yields: % 2.68/1.34 | (2) ! [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))) % 2.68/1.34 | (3) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0)) % 2.68/1.34 | (4) ~ exemplifies_property(existence, god) % 2.68/1.34 | (5) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) % 2.68/1.34 | (6) ! [v0] : ! [v1] : ( ~ exemplifies_property(v0, v1) | ~ object(v1) | ~ property(v0) | ? [v2] : (( ~ (v2 = v1) & exemplifies_property(v0, v2) & object(v2)) | (is_the(v2, v0) & object(v2)))) % 2.68/1.34 | (7) ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0)) % 2.68/1.34 | (8) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0)) | (exemplifies_property(none_greater, all_0_1_1) & object(all_0_1_1) & ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(none_greater, v0) | ~ object(v0))) % 2.68/1.34 | (9) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) % 2.68/1.34 | (10) ! [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))) % 2.68/1.34 | (11) object(all_0_0_0) % 2.68/1.34 | (12) exemplifies_property(none_greater, all_0_0_0) % 2.68/1.34 | (13) is_the(god, none_greater) % 2.68/1.34 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ is_the(v1, v0) | ~ object(v2) | ~ object(v1) | ~ property(v0) | exemplifies_property(v0, v1)) % 2.68/1.34 | % 2.68/1.34 | Instantiating formula (5) with none_greater, god and discharging atoms is_the(god, none_greater), yields: % 2.68/1.34 | (15) object(god) % 2.68/1.34 | % 2.68/1.35 | Instantiating formula (9) with none_greater, god and discharging atoms is_the(god, none_greater), yields: % 2.68/1.35 | (16) property(none_greater) % 2.68/1.35 | % 2.68/1.35 | Instantiating formula (10) with god and discharging atoms is_the(god, none_greater), object(god), ~ exemplifies_property(existence, god), yields: % 2.68/1.35 | (17) ? [v0] : (exemplifies_relation(greater_than, v0, god) & exemplifies_property(conceivable, v0) & object(v0)) % 2.68/1.35 | % 2.68/1.35 | Instantiating formula (14) with god, god, none_greater and discharging atoms is_the(god, none_greater), object(god), property(none_greater), yields: % 2.68/1.35 | (18) exemplifies_property(none_greater, god) % 2.68/1.35 | % 2.68/1.35 | Instantiating (17) with all_15_0_2 yields: % 2.68/1.35 | (19) exemplifies_relation(greater_than, all_15_0_2, god) & exemplifies_property(conceivable, all_15_0_2) & object(all_15_0_2) % 2.68/1.35 | % 2.68/1.35 | Applying alpha-rule on (19) yields: % 2.68/1.35 | (20) exemplifies_relation(greater_than, all_15_0_2, god) % 2.68/1.35 | (21) exemplifies_property(conceivable, all_15_0_2) % 2.68/1.35 | (22) object(all_15_0_2) % 2.68/1.35 | % 2.68/1.35 | Instantiating formula (7) with all_15_0_2, god and discharging atoms exemplifies_relation(greater_than, all_15_0_2, god), exemplifies_property(conceivable, all_15_0_2), exemplifies_property(none_greater, god), object(all_15_0_2), object(god), yields: % 2.68/1.35 | (23) $false % 2.68/1.35 | % 2.68/1.35 |-The branch is then unsatisfiable % 2.68/1.35 % SZS output end Proof for theBenchmark % 2.68/1.35 % 2.68/1.35 755ms %------------------------------------------------------------------------------