%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n013.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 01:56:07 EDT 2022 % Result : Theorem 1.98s 1.14s % Output : Proof 2.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n013.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Fri Jul 1 04:47:29 EDT 2022 % 0.11/0.33 % CPUTime : % 0.57/0.57 ____ _ % 0.57/0.57 ___ / __ \_____(_)___ ________ __________ % 0.57/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.57/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.57/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.57/0.57 % 0.57/0.57 A Theorem Prover for First-Order Logic % 0.57/0.57 (ePrincess v.1.0) % 0.57/0.57 % 0.57/0.57 (c) Philipp Rümmer, 2009-2015 % 0.57/0.57 (c) Peter Backeman, 2014-2015 % 0.57/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.57 Bug reports to peter@backeman.se % 0.57/0.57 % 0.57/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.57 % 0.57/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.57/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.46/0.92 Prover 0: Preprocessing ... % 1.68/1.03 Prover 0: Constructing countermodel ... % 1.98/1.13 Prover 0: proved (515ms) % 1.98/1.14 % 1.98/1.14 No countermodel exists, formula is valid % 1.98/1.14 % SZS status Theorem for theBenchmark % 1.98/1.14 % 1.98/1.14 Generating proof ... found it (size 8) % 2.65/1.31 % 2.65/1.31 % SZS output start Proof for theBenchmark % 2.65/1.31 Assumed formulas after preprocessing and simplification: % 2.65/1.31 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((in(v0, v4, v3) & down(v0, v4, v1) & barrel(v0, v4) & present(v0, v4) & agent(v0, v4, v3) & event(v0, v4) & lonely(v0, v1) & street(v0, v1) & old(v0, v3) & dirty(v0, v3) & white(v0, v3) & chevy(v0, v3) & placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v3) & of(v0, v2, v3) & actual_world(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ in(v5, v9, v7) | ~ down(v5, v9, v8) | ~ barrel(v5, v9) | ~ present(v5, v9) | ~ agent(v5, v9, v7) | ~ event(v5, v9) | ~ lonely(v5, v8) | ~ street(v5, v8) | ~ old(v5, v7) | ~ dirty(v5, v7) | ~ white(v5, v7) | ~ chevy(v5, v7) | ~ placename(v5, v6) | ~ hollywood_placename(v5, v6) | ~ city(v5, v7) | ~ of(v5, v6, v7) | ~ actual_world(v5))) | (in(v0, v4, v2) & down(v0, v4, v3) & barrel(v0, v4) & present(v0, v4) & agent(v0, v4, v2) & event(v0, v4) & lonely(v0, v3) & street(v0, v3) & old(v0, v2) & dirty(v0, v2) & white(v0, v2) & chevy(v0, v2) & placename(v0, v1) & hollywood_placename(v0, v1) & city(v0, v2) & of(v0, v1, v2) & actual_world(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ in(v5, v9, v8) | ~ down(v5, v9, v6) | ~ barrel(v5, v9) | ~ present(v5, v9) | ~ agent(v5, v9, v8) | ~ event(v5, v9) | ~ lonely(v5, v6) | ~ street(v5, v6) | ~ old(v5, v8) | ~ dirty(v5, v8) | ~ white(v5, v8) | ~ chevy(v5, v8) | ~ placename(v5, v7) | ~ hollywood_placename(v5, v7) | ~ city(v5, v8) | ~ of(v5, v7, v8) | ~ actual_world(v5)))) % 2.90/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 2.90/1.33 | (1) (in(all_0_4_4, all_0_0_0, all_0_1_1) & down(all_0_4_4, all_0_0_0, all_0_3_3) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_1_1) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_3_3) & street(all_0_4_4, all_0_3_3) & old(all_0_4_4, all_0_1_1) & dirty(all_0_4_4, all_0_1_1) & white(all_0_4_4, all_0_1_1) & chevy(all_0_4_4, all_0_1_1) & placename(all_0_4_4, all_0_2_2) & hollywood_placename(all_0_4_4, all_0_2_2) & city(all_0_4_4, all_0_1_1) & of(all_0_4_4, all_0_2_2, all_0_1_1) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0))) | (in(all_0_4_4, all_0_0_0, all_0_2_2) & down(all_0_4_4, all_0_0_0, all_0_1_1) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_2_2) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_1_1) & street(all_0_4_4, all_0_1_1) & old(all_0_4_4, all_0_2_2) & dirty(all_0_4_4, all_0_2_2) & white(all_0_4_4, all_0_2_2) & chevy(all_0_4_4, all_0_2_2) & placename(all_0_4_4, all_0_3_3) & hollywood_placename(all_0_4_4, all_0_3_3) & city(all_0_4_4, all_0_2_2) & of(all_0_4_4, all_0_3_3, all_0_2_2) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0))) % 2.90/1.34 | % 2.90/1.34 +-Applying beta-rule and splitting (1), into two cases. % 2.90/1.34 |-Branch one: % 2.90/1.34 | (2) in(all_0_4_4, all_0_0_0, all_0_1_1) & down(all_0_4_4, all_0_0_0, all_0_3_3) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_1_1) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_3_3) & street(all_0_4_4, all_0_3_3) & old(all_0_4_4, all_0_1_1) & dirty(all_0_4_4, all_0_1_1) & white(all_0_4_4, all_0_1_1) & chevy(all_0_4_4, all_0_1_1) & placename(all_0_4_4, all_0_2_2) & hollywood_placename(all_0_4_4, all_0_2_2) & city(all_0_4_4, all_0_1_1) & of(all_0_4_4, all_0_2_2, all_0_1_1) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0)) % 2.90/1.34 | % 2.90/1.34 | Applying alpha-rule on (2) yields: % 2.90/1.34 | (3) barrel(all_0_4_4, all_0_0_0) % 2.90/1.34 | (4) old(all_0_4_4, all_0_1_1) % 2.90/1.34 | (5) hollywood_placename(all_0_4_4, all_0_2_2) % 2.90/1.34 | (6) street(all_0_4_4, all_0_3_3) % 2.90/1.34 | (7) present(all_0_4_4, all_0_0_0) % 2.90/1.34 | (8) chevy(all_0_4_4, all_0_1_1) % 2.90/1.34 | (9) dirty(all_0_4_4, all_0_1_1) % 2.90/1.34 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0)) % 2.90/1.34 | (11) in(all_0_4_4, all_0_0_0, all_0_1_1) % 2.90/1.34 | (12) city(all_0_4_4, all_0_1_1) % 2.90/1.34 | (13) of(all_0_4_4, all_0_2_2, all_0_1_1) % 2.90/1.34 | (14) lonely(all_0_4_4, all_0_3_3) % 2.90/1.34 | (15) event(all_0_4_4, all_0_0_0) % 2.90/1.34 | (16) agent(all_0_4_4, all_0_0_0, all_0_1_1) % 2.90/1.34 | (17) down(all_0_4_4, all_0_0_0, all_0_3_3) % 2.90/1.34 | (18) white(all_0_4_4, all_0_1_1) % 2.90/1.34 | (19) placename(all_0_4_4, all_0_2_2) % 2.90/1.34 | (20) actual_world(all_0_4_4) % 2.90/1.34 | % 2.90/1.34 | Instantiating formula (10) with all_0_0_0, all_0_3_3, all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms in(all_0_4_4, all_0_0_0, all_0_1_1), down(all_0_4_4, all_0_0_0, all_0_3_3), barrel(all_0_4_4, all_0_0_0), present(all_0_4_4, all_0_0_0), agent(all_0_4_4, all_0_0_0, all_0_1_1), event(all_0_4_4, all_0_0_0), lonely(all_0_4_4, all_0_3_3), street(all_0_4_4, all_0_3_3), old(all_0_4_4, all_0_1_1), dirty(all_0_4_4, all_0_1_1), white(all_0_4_4, all_0_1_1), chevy(all_0_4_4, all_0_1_1), placename(all_0_4_4, all_0_2_2), hollywood_placename(all_0_4_4, all_0_2_2), city(all_0_4_4, all_0_1_1), of(all_0_4_4, all_0_2_2, all_0_1_1), actual_world(all_0_4_4), yields: % 2.90/1.35 | (21) $false % 2.90/1.35 | % 2.90/1.35 |-The branch is then unsatisfiable % 2.90/1.35 |-Branch two: % 2.90/1.35 | (22) in(all_0_4_4, all_0_0_0, all_0_2_2) & down(all_0_4_4, all_0_0_0, all_0_1_1) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_2_2) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_1_1) & street(all_0_4_4, all_0_1_1) & old(all_0_4_4, all_0_2_2) & dirty(all_0_4_4, all_0_2_2) & white(all_0_4_4, all_0_2_2) & chevy(all_0_4_4, all_0_2_2) & placename(all_0_4_4, all_0_3_3) & hollywood_placename(all_0_4_4, all_0_3_3) & city(all_0_4_4, all_0_2_2) & of(all_0_4_4, all_0_3_3, all_0_2_2) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0)) % 2.90/1.35 | % 2.90/1.35 | Applying alpha-rule on (22) yields: % 2.90/1.35 | (3) barrel(all_0_4_4, all_0_0_0) % 2.90/1.35 | (7) present(all_0_4_4, all_0_0_0) % 2.90/1.35 | (25) dirty(all_0_4_4, all_0_2_2) % 2.90/1.35 | (26) hollywood_placename(all_0_4_4, all_0_3_3) % 2.90/1.35 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0)) % 2.90/1.35 | (28) agent(all_0_4_4, all_0_0_0, all_0_2_2) % 2.90/1.35 | (29) chevy(all_0_4_4, all_0_2_2) % 2.90/1.35 | (30) placename(all_0_4_4, all_0_3_3) % 2.90/1.35 | (31) street(all_0_4_4, all_0_1_1) % 2.90/1.35 | (32) old(all_0_4_4, all_0_2_2) % 2.90/1.35 | (33) white(all_0_4_4, all_0_2_2) % 2.90/1.35 | (34) of(all_0_4_4, all_0_3_3, all_0_2_2) % 2.90/1.35 | (35) lonely(all_0_4_4, all_0_1_1) % 2.90/1.35 | (15) event(all_0_4_4, all_0_0_0) % 2.90/1.35 | (37) city(all_0_4_4, all_0_2_2) % 2.90/1.35 | (38) down(all_0_4_4, all_0_0_0, all_0_1_1) % 2.90/1.35 | (39) in(all_0_4_4, all_0_0_0, all_0_2_2) % 2.90/1.35 | (20) actual_world(all_0_4_4) % 2.90/1.35 | % 2.90/1.35 | Instantiating formula (27) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_1_1, all_0_4_4 and discharging atoms in(all_0_4_4, all_0_0_0, all_0_2_2), down(all_0_4_4, all_0_0_0, all_0_1_1), barrel(all_0_4_4, all_0_0_0), present(all_0_4_4, all_0_0_0), agent(all_0_4_4, all_0_0_0, all_0_2_2), event(all_0_4_4, all_0_0_0), lonely(all_0_4_4, all_0_1_1), street(all_0_4_4, all_0_1_1), old(all_0_4_4, all_0_2_2), dirty(all_0_4_4, all_0_2_2), white(all_0_4_4, all_0_2_2), chevy(all_0_4_4, all_0_2_2), placename(all_0_4_4, all_0_3_3), hollywood_placename(all_0_4_4, all_0_3_3), city(all_0_4_4, all_0_2_2), of(all_0_4_4, all_0_3_3, all_0_2_2), actual_world(all_0_4_4), yields: % 2.90/1.36 | (21) $false % 2.90/1.36 | % 2.90/1.36 |-The branch is then unsatisfiable % 2.90/1.36 % SZS output end Proof for theBenchmark % 2.90/1.36 % 2.90/1.36 775ms %------------------------------------------------------------------------------