%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 2.50s 1.24s % Output : Proof 3.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n029.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 01:21:16 EDT 2022 % 0.13/0.33 % CPUTime : % 0.61/0.58 ____ _ % 0.61/0.58 ___ / __ \_____(_)___ ________ __________ % 0.61/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.61/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.61/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.61/0.58 % 0.61/0.58 A Theorem Prover for First-Order Logic % 0.61/0.58 (ePrincess v.1.0) % 0.61/0.58 % 0.61/0.58 (c) Philipp Rümmer, 2009-2015 % 0.61/0.58 (c) Peter Backeman, 2014-2015 % 0.61/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.61/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.61/0.58 Bug reports to peter@backeman.se % 0.61/0.58 % 0.61/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.61/0.58 % 0.61/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.77/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.57/0.94 Prover 0: Preprocessing ... % 1.96/1.10 Prover 0: Constructing countermodel ... % 2.50/1.24 Prover 0: proved (607ms) % 2.50/1.24 % 2.50/1.24 No countermodel exists, formula is valid % 2.50/1.24 % SZS status Theorem for theBenchmark % 2.50/1.24 % 2.50/1.24 Generating proof ... found it (size 14) % 3.04/1.45 % 3.04/1.45 % SZS output start Proof for theBenchmark % 3.04/1.45 Assumed formulas after preprocessing and simplification: % 3.04/1.45 | (0) ? [v0] : (is_the(god, none_greater) & exemplifies_property(none_greater, v0) & object(v0) & ~ exemplifies_property(existence, god) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v2, v4) | ~ exemplifies_property(v1, v4) | ~ property(v2) | ~ property(v1) | ~ object(v4) | ~ object(v3) | is_the(v3, v1) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v1, v5) & object(v5))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v2, v4) | ~ exemplifies_property(v1, v4) | ~ property(v2) | ~ property(v1) | ~ object(v4) | ~ object(v3) | exemplifies_property(v2, v3) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v1, v5) & object(v5))) & ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ exemplifies_property(v1, v3) | ~ property(v1) | ~ object(v3) | ~ object(v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v1, v4) & object(v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ is_the(v3, v1) | ~ exemplifies_property(v2, v3) | ~ property(v2) | ~ property(v1) | ~ object(v3) | ? [v4] : (exemplifies_property(v2, v4) & exemplifies_property(v1, v4) & object(v4) & ! [v5] : (v5 = v4 | ~ exemplifies_property(v1, v5) | ~ object(v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ property(v1) | ~ object(v3) | ~ object(v2) | is_the(v2, v1) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v1, v4) & object(v4))) & ! [v1] : ! [v2] : (v2 = v1 | ~ object(v2) | ~ object(v1) | exemplifies_relation(greater_than, v2, v1) | exemplifies_relation(greater_than, v1, v2)) & ! [v1] : ! [v2] : ( ~ exemplifies_relation(greater_than, v2, v1) | ~ exemplifies_property(conceivable, v2) | ~ exemplifies_property(none_greater, v1) | ~ object(v2) | ~ object(v1)) & ! [v1] : ! [v2] : ( ~ is_the(v2, v1) | ~ property(v1) | ~ object(v2) | (exemplifies_property(v1, v2) & ! [v3] : (v3 = v2 | ~ exemplifies_property(v1, v3) | ~ object(v3)))) & ! [v1] : ! [v2] : ( ~ is_the(v1, v2) | property(v2)) & ! [v1] : ! [v2] : ( ~ is_the(v1, v2) | object(v1)) & ! [v1] : ! [v2] : ( ~ exemplifies_property(v2, v1) | property(v2)) & ! [v1] : ! [v2] : ( ~ exemplifies_property(v2, v1) | object(v1)) & ! [v1] : ( ~ is_the(v1, none_greater) | ~ object(v1) | exemplifies_property(existence, v1) | ? [v2] : (exemplifies_relation(greater_than, v2, v1) & exemplifies_property(conceivable, v2) & object(v2))) & ! [v1] : ( ~ exemplifies_property(conceivable, v1) | ~ object(v1) | exemplifies_property(none_greater, v1) | ? [v2] : (exemplifies_relation(greater_than, v2, v1) & exemplifies_property(conceivable, v2) & object(v2))) & ! [v1] : ( ~ exemplifies_property(none_greater, v1) | ~ object(v1) | exemplifies_property(conceivable, v1)) & ! [v1] : ( ~ property(v1) | ~ object(v1))) % 3.27/1.47 | Instantiating (0) with all_0_0_0 yields: % 3.27/1.47 | (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] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ exemplifies_property(v1, v2) | ~ property(v1) | ~ property(v0) | ~ object(v2) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | is_the(v1, v0) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) & ! [v0] : ! [v1] : (v1 = v0 | ~ object(v1) | ~ object(v0) | exemplifies_relation(greater_than, v1, v0) | exemplifies_relation(greater_than, 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(v1, v0) | ~ property(v0) | ~ object(v1) | (exemplifies_property(v0, v1) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2)))) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) & ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1)) & ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | object(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))) & ! [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] : ( ~ property(v0) | ~ object(v0)) % 3.27/1.48 | % 3.27/1.48 | Applying alpha-rule on (1) yields: % 3.27/1.48 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | is_the(v1, v0) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) % 3.32/1.48 | (3) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1)) % 3.32/1.48 | (4) ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0)) % 3.32/1.48 | (5) ! [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))) % 3.32/1.48 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ object(v1) | ~ object(v0) | exemplifies_relation(greater_than, v1, v0) | exemplifies_relation(greater_than, v0, v1)) % 3.32/1.48 | (7) ! [v0] : ( ~ property(v0) | ~ object(v0)) % 3.32/1.48 | (8) ! [v0] : ! [v1] : ( ~ is_the(v1, v0) | ~ property(v0) | ~ object(v1) | (exemplifies_property(v0, v1) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2)))) % 3.32/1.48 | (9) object(all_0_0_0) % 3.32/1.48 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) % 3.32/1.48 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ exemplifies_property(v1, v2) | ~ property(v1) | ~ property(v0) | ~ object(v2) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4)))) % 3.32/1.48 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) % 3.32/1.48 | (13) ~ exemplifies_property(existence, god) % 3.32/1.48 | (14) ! [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))) % 3.32/1.48 | (15) is_the(god, none_greater) % 3.32/1.48 | (16) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) % 3.32/1.48 | (17) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | object(v0)) % 3.32/1.48 | (18) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) % 3.32/1.48 | (19) exemplifies_property(none_greater, all_0_0_0) % 3.32/1.49 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) % 3.32/1.49 | (21) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0)) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (16) with none_greater, god and discharging atoms is_the(god, none_greater), yields: % 3.32/1.49 | (22) object(god) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (3) with none_greater, all_0_0_0 and discharging atoms exemplifies_property(none_greater, all_0_0_0), yields: % 3.32/1.49 | (23) property(none_greater) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (8) with god, none_greater and discharging atoms is_the(god, none_greater), property(none_greater), object(god), yields: % 3.32/1.49 | (24) exemplifies_property(none_greater, god) & ! [v0] : (v0 = god | ~ exemplifies_property(none_greater, v0) | ~ object(v0)) % 3.32/1.49 | % 3.32/1.49 | Applying alpha-rule on (24) yields: % 3.32/1.49 | (25) exemplifies_property(none_greater, god) % 3.32/1.49 | (26) ! [v0] : (v0 = god | ~ exemplifies_property(none_greater, v0) | ~ object(v0)) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (14) with god and discharging atoms is_the(god, none_greater), object(god), ~ exemplifies_property(existence, god), yields: % 3.32/1.49 | (27) ? [v0] : (exemplifies_relation(greater_than, v0, god) & exemplifies_property(conceivable, v0) & object(v0)) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (26) with all_0_0_0 and discharging atoms exemplifies_property(none_greater, all_0_0_0), object(all_0_0_0), yields: % 3.32/1.49 | (28) all_0_0_0 = god % 3.32/1.49 | % 3.32/1.49 | Instantiating (27) with all_17_0_1 yields: % 3.32/1.49 | (29) exemplifies_relation(greater_than, all_17_0_1, god) & exemplifies_property(conceivable, all_17_0_1) & object(all_17_0_1) % 3.32/1.49 | % 3.32/1.49 | Applying alpha-rule on (29) yields: % 3.32/1.49 | (30) exemplifies_relation(greater_than, all_17_0_1, god) % 3.32/1.49 | (31) exemplifies_property(conceivable, all_17_0_1) % 3.32/1.49 | (32) object(all_17_0_1) % 3.32/1.49 | % 3.32/1.49 | From (28) and (19) follows: % 3.32/1.49 | (25) exemplifies_property(none_greater, god) % 3.32/1.49 | % 3.32/1.49 | From (28) and (9) follows: % 3.32/1.49 | (22) object(god) % 3.32/1.49 | % 3.32/1.49 | Instantiating formula (4) with all_17_0_1, god and discharging atoms exemplifies_relation(greater_than, all_17_0_1, god), exemplifies_property(conceivable, all_17_0_1), exemplifies_property(none_greater, god), object(all_17_0_1), object(god), yields: % 3.32/1.49 | (35) $false % 3.32/1.49 | % 3.32/1.49 |-The branch is then unsatisfiable % 3.32/1.49 % SZS output end Proof for theBenchmark % 3.32/1.49 % 3.32/1.49 903ms %------------------------------------------------------------------------------