%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NLP009+1 : TPTP v8.1.0. Released v2.4.0. % 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 01:55:01 EDT 2022 % Result : Theorem 2.32s 1.30s % Output : Proof 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NLP009+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.31 % Computer : n028.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 600 % 0.11/0.31 % DateTime : Fri Jul 1 00:48:15 EDT 2022 % 0.11/0.31 % CPUTime : % 0.17/0.56 ____ _ % 0.17/0.56 ___ / __ \_____(_)___ ________ __________ % 0.17/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.17/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.17/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.17/0.56 % 0.17/0.56 A Theorem Prover for First-Order Logic % 0.17/0.56 (ePrincess v.1.0) % 0.17/0.56 % 0.17/0.56 (c) Philipp Rümmer, 2009-2015 % 0.17/0.56 (c) Peter Backeman, 2014-2015 % 0.17/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.17/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.17/0.56 Bug reports to peter@backeman.se % 0.17/0.56 % 0.17/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.17/0.56 % 0.17/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.60/0.94 Prover 0: Preprocessing ... % 2.01/1.14 Prover 0: Constructing countermodel ... % 2.32/1.30 Prover 0: proved (673ms) % 2.32/1.30 % 2.32/1.30 No countermodel exists, formula is valid % 2.32/1.30 % SZS status Theorem for theBenchmark % 2.32/1.30 % 2.32/1.30 Generating proof ... found it (size 10) % 3.44/1.49 % 3.44/1.49 % SZS output start Proof for theBenchmark % 3.44/1.49 Assumed formulas after preprocessing and simplification: % 3.44/1.49 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = v5 & v7 = v4 & ~ (v5 = v4) & young(v5) & young(v4) & man(v5) & man(v4) & fellow(v5) & fellow(v4) & front(v6) & furniture(v6) & seat(v6) & in(v5, v6) & in(v4, v6) & in(v1, v0) & down(v1, v3) & barrel(v1, v2) & old(v2) & dirty(v2) & white(v2) & car(v2) & chevy(v2) & lonely(v3) & way(v3) & street(v3) & event(v1) & city(v0) & hollywood(v0) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ young(v14) | ~ young(v13) | ~ man(v14) | ~ man(v13) | ~ fellow(v14) | ~ fellow(v13) | ~ front(v15) | ~ furniture(v15) | ~ seat(v15) | ~ in(v14, v15) | ~ in(v13, v15) | ~ in(v10, v9) | ~ down(v10, v11) | ~ barrel(v10, v12) | ~ old(v12) | ~ dirty(v12) | ~ white(v12) | ~ car(v12) | ~ chevy(v12) | ~ lonely(v11) | ~ way(v11) | ~ street(v11) | ~ event(v10) | ~ city(v9) | ~ hollywood(v9))) | (v8 = v5 & v7 = v4 & ~ (v5 = v4) & young(v5) & young(v4) & man(v5) & man(v4) & fellow(v5) & fellow(v4) & front(v6) & furniture(v6) & seat(v6) & in(v5, v6) & in(v4, v6) & in(v1, v0) & down(v1, v2) & barrel(v1, v3) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) & lonely(v2) & way(v2) & street(v2) & event(v1) & city(v0) & hollywood(v0) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ young(v14) | ~ young(v13) | ~ man(v14) | ~ man(v13) | ~ fellow(v14) | ~ fellow(v13) | ~ front(v15) | ~ furniture(v15) | ~ seat(v15) | ~ in(v14, v15) | ~ in(v13, v15) | ~ in(v10, v9) | ~ down(v10, v12) | ~ barrel(v10, v11) | ~ old(v11) | ~ dirty(v11) | ~ white(v11) | ~ car(v11) | ~ chevy(v11) | ~ lonely(v12) | ~ way(v12) | ~ street(v12) | ~ event(v10) | ~ city(v9) | ~ hollywood(v9)))) % 3.44/1.51 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields: % 3.44/1.51 | (1) (all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & front(all_0_2_2) & furniture(all_0_2_2) & seat(all_0_2_2) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))) | (all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & front(all_0_2_2) & furniture(all_0_2_2) & seat(all_0_2_2) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_6_6) & barrel(all_0_7_7, all_0_5_5) & old(all_0_5_5) & dirty(all_0_5_5) & white(all_0_5_5) & car(all_0_5_5) & chevy(all_0_5_5) & lonely(all_0_6_6) & way(all_0_6_6) & street(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))) % 3.44/1.51 | % 3.44/1.51 +-Applying beta-rule and splitting (1), into two cases. % 3.44/1.51 |-Branch one: % 3.44/1.51 | (2) all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & front(all_0_2_2) & furniture(all_0_2_2) & seat(all_0_2_2) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_5_5) & barrel(all_0_7_7, all_0_6_6) & old(all_0_6_6) & dirty(all_0_6_6) & white(all_0_6_6) & car(all_0_6_6) & chevy(all_0_6_6) & lonely(all_0_5_5) & way(all_0_5_5) & street(all_0_5_5) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 3.44/1.51 | % 3.44/1.51 | Applying alpha-rule on (2) yields: % 3.44/1.51 | (3) down(all_0_7_7, all_0_5_5) % 3.44/1.51 | (4) old(all_0_6_6) % 3.44/1.51 | (5) fellow(all_0_4_4) % 3.44/1.51 | (6) man(all_0_4_4) % 3.44/1.51 | (7) hollywood(all_0_8_8) % 3.44/1.51 | (8) seat(all_0_2_2) % 3.44/1.51 | (9) man(all_0_3_3) % 3.44/1.52 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 3.44/1.52 | (11) city(all_0_8_8) % 3.44/1.52 | (12) fellow(all_0_3_3) % 3.44/1.52 | (13) in(all_0_3_3, all_0_2_2) % 3.44/1.52 | (14) ~ (all_0_3_3 = all_0_4_4) % 3.44/1.52 | (15) young(all_0_4_4) % 3.44/1.52 | (16) in(all_0_4_4, all_0_2_2) % 3.44/1.52 | (17) front(all_0_2_2) % 3.44/1.52 | (18) all_0_0_0 = all_0_3_3 % 3.44/1.52 | (19) furniture(all_0_2_2) % 3.44/1.52 | (20) white(all_0_6_6) % 3.44/1.52 | (21) in(all_0_7_7, all_0_8_8) % 3.44/1.52 | (22) car(all_0_6_6) % 3.44/1.52 | (23) young(all_0_3_3) % 3.44/1.52 | (24) way(all_0_5_5) % 3.44/1.52 | (25) lonely(all_0_5_5) % 3.44/1.52 | (26) dirty(all_0_6_6) % 3.44/1.52 | (27) street(all_0_5_5) % 3.44/1.52 | (28) all_0_1_1 = all_0_4_4 % 3.44/1.52 | (29) chevy(all_0_6_6) % 3.44/1.52 | (30) barrel(all_0_7_7, all_0_6_6) % 3.44/1.52 | (31) event(all_0_7_7) % 3.44/1.52 | % 3.44/1.52 | Instantiating formula (10) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms young(all_0_3_3), young(all_0_4_4), man(all_0_3_3), man(all_0_4_4), fellow(all_0_3_3), fellow(all_0_4_4), front(all_0_2_2), furniture(all_0_2_2), seat(all_0_2_2), in(all_0_3_3, all_0_2_2), in(all_0_4_4, all_0_2_2), in(all_0_7_7, all_0_8_8), down(all_0_7_7, all_0_5_5), barrel(all_0_7_7, all_0_6_6), old(all_0_6_6), dirty(all_0_6_6), white(all_0_6_6), car(all_0_6_6), chevy(all_0_6_6), lonely(all_0_5_5), way(all_0_5_5), street(all_0_5_5), event(all_0_7_7), city(all_0_8_8), hollywood(all_0_8_8), yields: % 3.44/1.52 | (32) all_0_3_3 = all_0_4_4 % 3.44/1.52 | % 3.44/1.52 | Equations (32) can reduce 14 to: % 3.44/1.52 | (33) $false % 3.44/1.52 | % 3.44/1.52 |-The branch is then unsatisfiable % 3.44/1.52 |-Branch two: % 3.44/1.52 | (34) all_0_0_0 = all_0_3_3 & all_0_1_1 = all_0_4_4 & ~ (all_0_3_3 = all_0_4_4) & young(all_0_3_3) & young(all_0_4_4) & man(all_0_3_3) & man(all_0_4_4) & fellow(all_0_3_3) & fellow(all_0_4_4) & front(all_0_2_2) & furniture(all_0_2_2) & seat(all_0_2_2) & in(all_0_3_3, all_0_2_2) & in(all_0_4_4, all_0_2_2) & in(all_0_7_7, all_0_8_8) & down(all_0_7_7, all_0_6_6) & barrel(all_0_7_7, all_0_5_5) & old(all_0_5_5) & dirty(all_0_5_5) & white(all_0_5_5) & car(all_0_5_5) & chevy(all_0_5_5) & lonely(all_0_6_6) & way(all_0_6_6) & street(all_0_6_6) & event(all_0_7_7) & city(all_0_8_8) & hollywood(all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 3.44/1.53 | % 3.44/1.53 | Applying alpha-rule on (34) yields: % 3.44/1.53 | (35) dirty(all_0_5_5) % 3.44/1.53 | (36) down(all_0_7_7, all_0_6_6) % 3.44/1.53 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ young(v5) | ~ young(v4) | ~ man(v5) | ~ man(v4) | ~ fellow(v5) | ~ fellow(v4) | ~ front(v6) | ~ furniture(v6) | ~ seat(v6) | ~ in(v5, v6) | ~ in(v4, v6) | ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)) % 3.44/1.53 | (38) way(all_0_6_6) % 3.44/1.53 | (39) barrel(all_0_7_7, all_0_5_5) % 3.44/1.53 | (40) car(all_0_5_5) % 3.44/1.53 | (5) fellow(all_0_4_4) % 3.44/1.53 | (6) man(all_0_4_4) % 3.44/1.53 | (7) hollywood(all_0_8_8) % 3.44/1.53 | (8) seat(all_0_2_2) % 3.44/1.53 | (9) man(all_0_3_3) % 3.44/1.53 | (11) city(all_0_8_8) % 3.44/1.53 | (12) fellow(all_0_3_3) % 3.44/1.53 | (13) in(all_0_3_3, all_0_2_2) % 3.44/1.53 | (14) ~ (all_0_3_3 = all_0_4_4) % 3.44/1.53 | (15) young(all_0_4_4) % 3.44/1.53 | (16) in(all_0_4_4, all_0_2_2) % 3.44/1.53 | (17) front(all_0_2_2) % 3.44/1.53 | (53) chevy(all_0_5_5) % 3.44/1.53 | (54) white(all_0_5_5) % 3.44/1.53 | (18) all_0_0_0 = all_0_3_3 % 3.44/1.53 | (56) street(all_0_6_6) % 3.44/1.53 | (19) furniture(all_0_2_2) % 3.44/1.53 | (21) in(all_0_7_7, all_0_8_8) % 3.44/1.53 | (23) young(all_0_3_3) % 3.44/1.53 | (28) all_0_1_1 = all_0_4_4 % 3.44/1.53 | (61) lonely(all_0_6_6) % 3.44/1.53 | (62) old(all_0_5_5) % 3.44/1.53 | (31) event(all_0_7_7) % 3.44/1.53 | % 3.44/1.53 | Instantiating formula (37) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms young(all_0_3_3), young(all_0_4_4), man(all_0_3_3), man(all_0_4_4), fellow(all_0_3_3), fellow(all_0_4_4), front(all_0_2_2), furniture(all_0_2_2), seat(all_0_2_2), in(all_0_3_3, all_0_2_2), in(all_0_4_4, all_0_2_2), in(all_0_7_7, all_0_8_8), down(all_0_7_7, all_0_6_6), barrel(all_0_7_7, all_0_5_5), old(all_0_5_5), dirty(all_0_5_5), white(all_0_5_5), car(all_0_5_5), chevy(all_0_5_5), lonely(all_0_6_6), way(all_0_6_6), street(all_0_6_6), event(all_0_7_7), city(all_0_8_8), hollywood(all_0_8_8), yields: % 3.44/1.53 | (32) all_0_3_3 = all_0_4_4 % 3.44/1.53 | % 3.44/1.53 | Equations (32) can reduce 14 to: % 3.44/1.53 | (33) $false % 3.44/1.53 | % 3.44/1.53 |-The branch is then unsatisfiable % 3.44/1.53 % SZS output end Proof for theBenchmark % 3.44/1.53 % 3.44/1.53 958ms %------------------------------------------------------------------------------