%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NLP208+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n005.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 01:56:56 EDT 2022 % Result : Theorem 3.20s 1.44s % Output : Proof 5.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.12 % Problem : NLP208+1 : TPTP v8.1.0. Released v2.4.0. % 0.09/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n005.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 : Fri Jul 1 06:32:52 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.56 ____ _ % 0.19/0.56 ___ / __ \_____(_)___ ________ __________ % 0.19/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.56 % 0.19/0.56 A Theorem Prover for First-Order Logic % 0.19/0.56 (ePrincess v.1.0) % 0.19/0.56 % 0.19/0.56 (c) Philipp Rümmer, 2009-2015 % 0.19/0.56 (c) Peter Backeman, 2014-2015 % 0.19/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.56 Bug reports to peter@backeman.se % 0.19/0.56 % 0.19/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.56 % 0.19/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.81/0.98 Prover 0: Preprocessing ... % 2.66/1.24 Prover 0: Constructing countermodel ... % 3.20/1.44 Prover 0: proved (836ms) % 3.20/1.44 % 3.20/1.44 No countermodel exists, formula is valid % 3.20/1.44 % SZS status Theorem for theBenchmark % 3.20/1.44 % 3.20/1.44 Generating proof ... found it (size 12) % 5.05/1.80 % 5.05/1.80 % SZS output start Proof for theBenchmark % 5.05/1.80 Assumed formulas after preprocessing and simplification: % 5.05/1.80 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (behind(v0, v10, v10) & in(v0, v6, v5) & down(v0, v6, v5) & present(v0, v6) & lonely(v0, v5) & dirty(v0, v3) & actual_world(v0) & be(v0, v9, v1, v10) & agent(v0, v6, v3) & of(v0, v4, v5) & of(v0, v2, v1) & old(v0, v3) & white(v0, v3) & state(v0, v9) & wheel(v0, v10) & man(v0, v1) & group(v0, v8) & group(v0, v7) & two(v0, v7) & event(v0, v6) & barrel(v0, v6) & street(v0, v5) & chevy(v0, v3) & placename(v0, v4) & hollywood_placename(v0, v4) & city(v0, v5) & frontseat(v0, v5) & forename(v0, v2) & jules_forename(v0, v2) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ be(v11, v12, v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ member(v11, v14, v12) | ~ member(v11, v13, v12) | two(v11, v12) | ? [v15] : ( ~ (v15 = v14) & ~ (v15 = v13) & member(v11, v15, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ of(v11, v14, v12) | ~ of(v11, v13, v12) | ~ entity(v11, v12) | ~ placename(v11, v14) | ~ placename(v11, v13)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ of(v11, v14, v12) | ~ of(v11, v13, v12) | ~ entity(v11, v12) | ~ forename(v11, v14) | ~ forename(v11, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ patient(v11, v12, v13) | ~ agent(v11, v12, v13) | ~ nonreflexive(v11, v12)) & ! [v11] : ! [v12] : ~ member(v11, v12, v12) & ! [v11] : ! [v12] : ( ~ member(v0, v12, v7) | ~ member(v0, v11, v8) | ? [v13] : (present(v0, v13) & patient(v0, v13, v11) & agent(v0, v13, v12) & nonreflexive(v0, v13) & wear(v0, v13) & event(v0, v13))) & ! [v11] : ! [v12] : ( ~ old(v11, v12) | ~ young(v11, v12)) & ! [v11] : ! [v12] : ( ~ black(v11, v12) | ~ white(v11, v12)) & ! [v11] : ! [v12] : ( ~ singleton(v11, v12) | ~ multiple(v11, v12)) & ! [v11] : ! [v12] : ( ~ nonexistent(v11, v12) | ~ existent(v11, v12)) & ! [v11] : ! [v12] : ( ~ state(v11, v12) | eventuality(v11, v12)) & ! [v11] : ! [v12] : ( ~ state(v11, v12) | event(v11, v12)) & ! [v11] : ! [v12] : ( ~ eventuality(v11, v12) | nonexistent(v11, v12)) & ! [v11] : ! [v12] : ( ~ eventuality(v11, v12) | specific(v11, v12)) & ! [v11] : ! [v12] : ( ~ eventuality(v11, v12) | thing(v11, v12)) & ! [v11] : ! [v12] : ( ~ eventuality(v11, v12) | unisex(v11, v12)) & ! [v11] : ! [v12] : ( ~ wheel(v11, v12) | device(v11, v12)) & ! [v11] : ! [v12] : ( ~ device(v11, v12) | instrumentality(v11, v12)) & ! [v11] : ! [v12] : ( ~ specific(v11, v12) | ~ general(v11, v12)) & ! [v11] : ! [v12] : ( ~ nonliving(v11, v12) | ~ living(v11, v12)) & ! [v11] : ! [v12] : ( ~ nonliving(v11, v12) | ~ animate(v11, v12)) & ! [v11] : ! [v12] : ( ~ coat(v11, v12) | clothes(v11, v12)) & ! [v11] : ! [v12] : ( ~ clothes(v11, v12) | artifact(v11, v12)) & ! [v11] : ! [v12] : ( ~ set(v11, v12) | multiple(v11, v12)) & ! [v11] : ! [v12] : ( ~ wear(v11, v12) | event(v11, v12)) & ! [v11] : ! [v12] : ( ~ fellow(v11, v12) | man(v11, v12)) & ! [v11] : ! [v12] : ( ~ entity(v11, v12) | specific(v11, v12)) & ! [v11] : ! [v12] : ( ~ entity(v11, v12) | existent(v11, v12)) & ! [v11] : ! [v12] : ( ~ entity(v11, v12) | thing(v11, v12)) & ! [v11] : ! [v12] : ( ~ organism(v11, v12) | entity(v11, v12)) & ! [v11] : ! [v12] : ( ~ organism(v11, v12) | impartial(v11, v12)) & ! [v11] : ! [v12] : ( ~ organism(v11, v12) | living(v11, v12)) & ! [v11] : ! [v12] : ( ~ human(v11, v12) | ~ nonhuman(v11, v12)) & ! [v11] : ! [v12] : ( ~ human_person(v11, v12) | organism(v11, v12)) & ! [v11] : ! [v12] : ( ~ human_person(v11, v12) | human(v11, v12)) & ! [v11] : ! [v12] : ( ~ human_person(v11, v12) | animate(v11, v12)) & ! [v11] : ! [v12] : ( ~ male(v11, v12) | ~ unisex(v11, v12)) & ! [v11] : ! [v12] : ( ~ man(v11, v12) | human_person(v11, v12)) & ! [v11] : ! [v12] : ( ~ man(v11, v12) | male(v11, v12)) & ! [v11] : ! [v12] : ( ~ group(v11, v12) | set(v11, v12)) & ! [v11] : ! [v12] : ( ~ two(v11, v12) | group(v11, v12)) & ! [v11] : ! [v12] : ( ~ two(v11, v12) | ? [v13] : ? [v14] : ( ~ (v14 = v13) & member(v11, v14, v12) & member(v11, v13, v12) & ! [v15] : (v15 = v14 | v15 = v13 | ~ member(v11, v15, v12)))) & ! [v11] : ! [v12] : ( ~ event(v11, v12) | eventuality(v11, v12)) & ! [v11] : ! [v12] : ( ~ barrel(v11, v12) | event(v11, v12)) & ! [v11] : ! [v12] : ( ~ street(v11, v12) | way(v11, v12)) & ! [v11] : ! [v12] : ( ~ artifact(v11, v12) | object(v11, v12)) & ! [v11] : ! [v12] : ( ~ way(v11, v12) | artifact(v11, v12)) & ! [v11] : ! [v12] : ( ~ chevy(v11, v12) | car(v11, v12)) & ! [v11] : ! [v12] : ( ~ car(v11, v12) | vehicle(v11, v12)) & ! [v11] : ! [v12] : ( ~ vehicle(v11, v12) | transport(v11, v12)) & ! [v11] : ! [v12] : ( ~ transport(v11, v12) | instrumentality(v11, v12)) & ! [v11] : ! [v12] : ( ~ relation(v11, v12) | abstraction(v11, v12)) & ! [v11] : ! [v12] : ( ~ thing(v11, v12) | singleton(v11, v12)) & ! [v11] : ! [v12] : ( ~ abstraction(v11, v12) | thing(v11, v12)) & ! [v11] : ! [v12] : ( ~ abstraction(v11, v12) | nonhuman(v11, v12)) & ! [v11] : ! [v12] : ( ~ abstraction(v11, v12) | general(v11, v12)) & ! [v11] : ! [v12] : ( ~ abstraction(v11, v12) | unisex(v11, v12)) & ! [v11] : ! [v12] : ( ~ placename(v11, v12) | relname(v11, v12)) & ! [v11] : ! [v12] : ( ~ hollywood_placename(v11, v12) | placename(v11, v12)) & ! [v11] : ! [v12] : ( ~ city(v11, v12) | location(v11, v12)) & ! [v11] : ! [v12] : ( ~ object(v11, v12) | nonliving(v11, v12)) & ! [v11] : ! [v12] : ( ~ object(v11, v12) | entity(v11, v12)) & ! [v11] : ! [v12] : ( ~ object(v11, v12) | impartial(v11, v12)) & ! [v11] : ! [v12] : ( ~ object(v11, v12) | unisex(v11, v12)) & ! [v11] : ! [v12] : ( ~ location(v11, v12) | object(v11, v12)) & ! [v11] : ! [v12] : ( ~ frontseat(v11, v12) | seat(v11, v12)) & ! [v11] : ! [v12] : ( ~ seat(v11, v12) | furniture(v11, v12)) & ! [v11] : ! [v12] : ( ~ instrumentality(v11, v12) | artifact(v11, v12)) & ! [v11] : ! [v12] : ( ~ furniture(v11, v12) | instrumentality(v11, v12)) & ! [v11] : ! [v12] : ( ~ relname(v11, v12) | relation(v11, v12)) & ! [v11] : ! [v12] : ( ~ forename(v11, v12) | relname(v11, v12)) & ! [v11] : ! [v12] : ( ~ jules_forename(v11, v12) | forename(v11, v12)) & ! [v11] : ( ~ member(v0, v11, v8) | cheap(v0, v11)) & ! [v11] : ( ~ member(v0, v11, v8) | black(v0, v11)) & ! [v11] : ( ~ member(v0, v11, v8) | coat(v0, v11)) & ! [v11] : ( ~ member(v0, v11, v7) | young(v0, v11)) & ! [v11] : ( ~ member(v0, v11, v7) | fellow(v0, v11)) & ! [v11] : ( ~ member(v0, v11, v7) | ? [v12] : ? [v13] : (in(v0, v13, v5) & be(v0, v12, v11, v13) & state(v0, v12)))) % 5.27/1.83 | 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, all_0_9_9, all_0_10_10 yields: % 5.27/1.83 | (1) behind(all_0_10_10, all_0_0_0, all_0_0_0) & in(all_0_10_10, all_0_4_4, all_0_5_5) & down(all_0_10_10, all_0_4_4, all_0_5_5) & present(all_0_10_10, all_0_4_4) & lonely(all_0_10_10, all_0_5_5) & dirty(all_0_10_10, all_0_7_7) & actual_world(all_0_10_10) & be(all_0_10_10, all_0_1_1, all_0_9_9, all_0_0_0) & agent(all_0_10_10, all_0_4_4, all_0_7_7) & of(all_0_10_10, all_0_6_6, all_0_5_5) & of(all_0_10_10, all_0_8_8, all_0_9_9) & old(all_0_10_10, all_0_7_7) & white(all_0_10_10, all_0_7_7) & state(all_0_10_10, all_0_1_1) & wheel(all_0_10_10, all_0_0_0) & man(all_0_10_10, all_0_9_9) & group(all_0_10_10, all_0_2_2) & group(all_0_10_10, all_0_3_3) & two(all_0_10_10, all_0_3_3) & event(all_0_10_10, all_0_4_4) & barrel(all_0_10_10, all_0_4_4) & street(all_0_10_10, all_0_5_5) & chevy(all_0_10_10, all_0_7_7) & placename(all_0_10_10, all_0_6_6) & hollywood_placename(all_0_10_10, all_0_6_6) & city(all_0_10_10, all_0_5_5) & frontseat(all_0_10_10, all_0_5_5) & forename(all_0_10_10, all_0_8_8) & jules_forename(all_0_10_10, all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ member(v0, v3, v1) | ~ member(v0, v2, v1) | two(v0, v1) | ? [v4] : ( ~ (v4 = v3) & ~ (v4 = v2) & member(v0, v4, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ placename(v0, v3) | ~ placename(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ forename(v0, v3) | ~ forename(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ patient(v0, v1, v2) | ~ agent(v0, v1, v2) | ~ nonreflexive(v0, v1)) & ! [v0] : ! [v1] : ~ member(v0, v1, v1) & ! [v0] : ! [v1] : ( ~ member(all_0_10_10, v1, all_0_3_3) | ~ member(all_0_10_10, v0, all_0_2_2) | ? [v2] : (present(all_0_10_10, v2) & patient(all_0_10_10, v2, v0) & agent(all_0_10_10, v2, v1) & nonreflexive(all_0_10_10, v2) & wear(all_0_10_10, v2) & event(all_0_10_10, v2))) & ! [v0] : ! [v1] : ( ~ old(v0, v1) | ~ young(v0, v1)) & ! [v0] : ! [v1] : ( ~ black(v0, v1) | ~ white(v0, v1)) & ! [v0] : ! [v1] : ( ~ singleton(v0, v1) | ~ multiple(v0, v1)) & ! [v0] : ! [v1] : ( ~ nonexistent(v0, v1) | ~ existent(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ wheel(v0, v1) | device(v0, v1)) & ! [v0] : ! [v1] : ( ~ device(v0, v1) | instrumentality(v0, v1)) & ! [v0] : ! [v1] : ( ~ specific(v0, v1) | ~ general(v0, v1)) & ! [v0] : ! [v1] : ( ~ nonliving(v0, v1) | ~ living(v0, v1)) & ! [v0] : ! [v1] : ( ~ nonliving(v0, v1) | ~ animate(v0, v1)) & ! [v0] : ! [v1] : ( ~ coat(v0, v1) | clothes(v0, v1)) & ! [v0] : ! [v1] : ( ~ clothes(v0, v1) | artifact(v0, v1)) & ! [v0] : ! [v1] : ( ~ set(v0, v1) | multiple(v0, v1)) & ! [v0] : ! [v1] : ( ~ wear(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1)) & ! [v0] : ! [v1] : ( ~ human(v0, v1) | ~ nonhuman(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1)) & ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1)) & ! [v0] : ! [v1] : ( ~ male(v0, v1) | ~ unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1)) & ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1)) & ! [v0] : ! [v1] : ( ~ group(v0, v1) | set(v0, v1)) & ! [v0] : ! [v1] : ( ~ two(v0, v1) | group(v0, v1)) & ! [v0] : ! [v1] : ( ~ two(v0, v1) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & member(v0, v3, v1) & member(v0, v2, v1) & ! [v4] : (v4 = v3 | v4 = v2 | ~ member(v0, v4, v1)))) & ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ barrel(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ street(v0, v1) | way(v0, v1)) & ! [v0] : ! [v1] : ( ~ artifact(v0, v1) | object(v0, v1)) & ! [v0] : ! [v1] : ( ~ way(v0, v1) | artifact(v0, v1)) & ! [v0] : ! [v1] : ( ~ chevy(v0, v1) | car(v0, v1)) & ! [v0] : ! [v1] : ( ~ car(v0, v1) | vehicle(v0, v1)) & ! [v0] : ! [v1] : ( ~ vehicle(v0, v1) | transport(v0, v1)) & ! [v0] : ! [v1] : ( ~ transport(v0, v1) | instrumentality(v0, v1)) & ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1)) & ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1)) & ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ placename(v0, v1) | relname(v0, v1)) & ! [v0] : ! [v1] : ( ~ hollywood_placename(v0, v1) | placename(v0, v1)) & ! [v0] : ! [v1] : ( ~ city(v0, v1) | location(v0, v1)) & ! [v0] : ! [v1] : ( ~ object(v0, v1) | nonliving(v0, v1)) & ! [v0] : ! [v1] : ( ~ object(v0, v1) | entity(v0, v1)) & ! [v0] : ! [v1] : ( ~ object(v0, v1) | impartial(v0, v1)) & ! [v0] : ! [v1] : ( ~ object(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ location(v0, v1) | object(v0, v1)) & ! [v0] : ! [v1] : ( ~ frontseat(v0, v1) | seat(v0, v1)) & ! [v0] : ! [v1] : ( ~ seat(v0, v1) | furniture(v0, v1)) & ! [v0] : ! [v1] : ( ~ instrumentality(v0, v1) | artifact(v0, v1)) & ! [v0] : ! [v1] : ( ~ furniture(v0, v1) | instrumentality(v0, v1)) & ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1)) & ! [v0] : ! [v1] : ( ~ forename(v0, v1) | relname(v0, v1)) & ! [v0] : ! [v1] : ( ~ jules_forename(v0, v1) | forename(v0, v1)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | cheap(all_0_10_10, v0)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | black(all_0_10_10, v0)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | coat(all_0_10_10, v0)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | young(all_0_10_10, v0)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | fellow(all_0_10_10, v0)) & ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | ? [v1] : ? [v2] : (in(all_0_10_10, v2, all_0_5_5) & be(all_0_10_10, v1, v0, v2) & state(all_0_10_10, v1))) % 5.27/1.84 | % 5.27/1.84 | Applying alpha-rule on (1) yields: % 5.27/1.84 | (2) ! [v0] : ! [v1] : ( ~ specific(v0, v1) | ~ general(v0, v1)) % 5.27/1.85 | (3) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1)) % 5.27/1.85 | (4) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | black(all_0_10_10, v0)) % 5.27/1.85 | (5) ! [v0] : ! [v1] : ( ~ clothes(v0, v1) | artifact(v0, v1)) % 5.27/1.85 | (6) man(all_0_10_10, all_0_9_9) % 5.27/1.85 | (7) forename(all_0_10_10, all_0_8_8) % 5.27/1.85 | (8) ! [v0] : ! [v1] : ( ~ location(v0, v1) | object(v0, v1)) % 5.27/1.85 | (9) ! [v0] : ! [v1] : ( ~ furniture(v0, v1) | instrumentality(v0, v1)) % 5.27/1.85 | (10) ! [v0] : ! [v1] : ( ~ artifact(v0, v1) | object(v0, v1)) % 5.27/1.85 | (11) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1)) % 5.27/1.85 | (12) ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1)) % 5.27/1.85 | (13) ! [v0] : ! [v1] : ( ~ two(v0, v1) | group(v0, v1)) % 5.27/1.85 | (14) ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1)) % 5.27/1.85 | (15) ! [v0] : ! [v1] : ( ~ male(v0, v1) | ~ unisex(v0, v1)) % 5.27/1.85 | (16) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1)) % 5.27/1.85 | (17) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | cheap(all_0_10_10, v0)) % 5.27/1.85 | (18) present(all_0_10_10, all_0_4_4) % 5.27/1.85 | (19) ! [v0] : ! [v1] : ( ~ device(v0, v1) | instrumentality(v0, v1)) % 5.27/1.85 | (20) ! [v0] : ! [v1] : ( ~ coat(v0, v1) | clothes(v0, v1)) % 5.27/1.85 | (21) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_2_2) | coat(all_0_10_10, v0)) % 5.27/1.85 | (22) ! [v0] : ! [v1] : ( ~ wheel(v0, v1) | device(v0, v1)) % 5.27/1.85 | (23) ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1)) % 5.27/1.85 | (24) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1)) % 5.27/1.85 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ forename(v0, v3) | ~ forename(v0, v2)) % 5.27/1.85 | (26) of(all_0_10_10, all_0_6_6, all_0_5_5) % 5.27/1.85 | (27) city(all_0_10_10, all_0_5_5) % 5.27/1.85 | (28) ! [v0] : ! [v1] : ( ~ transport(v0, v1) | instrumentality(v0, v1)) % 5.27/1.85 | (29) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1)) % 5.27/1.85 | (30) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1)) % 5.27/1.85 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3)) % 5.27/1.85 | (32) wheel(all_0_10_10, all_0_0_0) % 5.27/1.85 | (33) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1)) % 5.27/1.85 | (34) ! [v0] : ! [v1] : ( ~ nonexistent(v0, v1) | ~ existent(v0, v1)) % 5.27/1.85 | (35) ! [v0] : ! [v1] : ( ~ black(v0, v1) | ~ white(v0, v1)) % 5.27/1.85 | (36) agent(all_0_10_10, all_0_4_4, all_0_7_7) % 5.27/1.85 | (37) ! [v0] : ! [v1] : ( ~ car(v0, v1) | vehicle(v0, v1)) % 5.27/1.85 | (38) frontseat(all_0_10_10, all_0_5_5) % 5.27/1.85 | (39) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1)) % 5.27/1.85 | (40) ! [v0] : ! [v1] : ( ~ seat(v0, v1) | furniture(v0, v1)) % 5.27/1.85 | (41) ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1)) % 5.27/1.85 | (42) ! [v0] : ! [v1] : ( ~ street(v0, v1) | way(v0, v1)) % 5.27/1.85 | (43) ! [v0] : ! [v1] : ( ~ nonliving(v0, v1) | ~ living(v0, v1)) % 5.27/1.86 | (44) ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1)) % 5.27/1.86 | (45) group(all_0_10_10, all_0_3_3) % 5.27/1.86 | (46) ! [v0] : ! [v1] : ( ~ old(v0, v1) | ~ young(v0, v1)) % 5.27/1.86 | (47) in(all_0_10_10, all_0_4_4, all_0_5_5) % 5.27/1.86 | (48) ! [v0] : ! [v1] : ( ~ singleton(v0, v1) | ~ multiple(v0, v1)) % 5.27/1.86 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ member(v0, v3, v1) | ~ member(v0, v2, v1) | two(v0, v1) | ? [v4] : ( ~ (v4 = v3) & ~ (v4 = v2) & member(v0, v4, v1))) % 5.27/1.86 | (50) ! [v0] : ! [v1] : ( ~ object(v0, v1) | nonliving(v0, v1)) % 5.27/1.86 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ patient(v0, v1, v2) | ~ agent(v0, v1, v2) | ~ nonreflexive(v0, v1)) % 5.27/1.86 | (52) white(all_0_10_10, all_0_7_7) % 5.27/1.86 | (53) ! [v0] : ! [v1] : ( ~ hollywood_placename(v0, v1) | placename(v0, v1)) % 5.27/1.86 | (54) ! [v0] : ! [v1] : ( ~ object(v0, v1) | unisex(v0, v1)) % 5.27/1.86 | (55) behind(all_0_10_10, all_0_0_0, all_0_0_0) % 5.27/1.86 | (56) be(all_0_10_10, all_0_1_1, all_0_9_9, all_0_0_0) % 5.27/1.86 | (57) group(all_0_10_10, all_0_2_2) % 5.27/1.86 | (58) ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1)) % 5.27/1.86 | (59) ! [v0] : ! [v1] : ( ~ object(v0, v1) | impartial(v0, v1)) % 5.27/1.86 | (60) ! [v0] : ! [v1] : ( ~ human(v0, v1) | ~ nonhuman(v0, v1)) % 5.27/1.86 | (61) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | fellow(all_0_10_10, v0)) % 5.27/1.86 | (62) ! [v0] : ! [v1] : ( ~ vehicle(v0, v1) | transport(v0, v1)) % 5.27/1.86 | (63) ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1)) % 5.27/1.86 | (64) event(all_0_10_10, all_0_4_4) % 5.27/1.86 | (65) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1)) % 5.27/1.86 | (66) ! [v0] : ! [v1] : ( ~ city(v0, v1) | location(v0, v1)) % 5.27/1.86 | (67) ! [v0] : ! [v1] : ( ~ object(v0, v1) | entity(v0, v1)) % 5.27/1.86 | (68) down(all_0_10_10, all_0_4_4, all_0_5_5) % 5.27/1.86 | (69) placename(all_0_10_10, all_0_6_6) % 5.27/1.86 | (70) ! [v0] : ! [v1] : ( ~ instrumentality(v0, v1) | artifact(v0, v1)) % 5.27/1.86 | (71) hollywood_placename(all_0_10_10, all_0_6_6) % 5.27/1.86 | (72) ! [v0] : ! [v1] : ( ~ frontseat(v0, v1) | seat(v0, v1)) % 5.27/1.86 | (73) ! [v0] : ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1)) % 5.27/1.86 | (74) chevy(all_0_10_10, all_0_7_7) % 5.27/1.86 | (75) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1)) % 5.27/1.86 | (76) of(all_0_10_10, all_0_8_8, all_0_9_9) % 5.27/1.86 | (77) ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1)) % 5.27/1.86 | (78) actual_world(all_0_10_10) % 5.27/1.86 | (79) ! [v0] : ! [v1] : ( ~ chevy(v0, v1) | car(v0, v1)) % 5.27/1.86 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ placename(v0, v3) | ~ placename(v0, v2)) % 5.27/1.86 | (81) ! [v0] : ! [v1] : ( ~ barrel(v0, v1) | event(v0, v1)) % 5.27/1.87 | (82) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1)) % 5.27/1.87 | (83) ! [v0] : ! [v1] : ( ~ jules_forename(v0, v1) | forename(v0, v1)) % 5.27/1.87 | (84) ! [v0] : ! [v1] : ( ~ wear(v0, v1) | event(v0, v1)) % 5.27/1.87 | (85) state(all_0_10_10, all_0_1_1) % 5.27/1.87 | (86) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1)) % 5.27/1.87 | (87) lonely(all_0_10_10, all_0_5_5) % 5.27/1.87 | (88) ! [v0] : ! [v1] : ~ member(v0, v1, v1) % 5.27/1.87 | (89) street(all_0_10_10, all_0_5_5) % 5.27/1.87 | (90) ! [v0] : ! [v1] : ( ~ two(v0, v1) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & member(v0, v3, v1) & member(v0, v2, v1) & ! [v4] : (v4 = v3 | v4 = v2 | ~ member(v0, v4, v1)))) % 5.27/1.87 | (91) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | young(all_0_10_10, v0)) % 5.27/1.87 | (92) two(all_0_10_10, all_0_3_3) % 5.27/1.87 | (93) jules_forename(all_0_10_10, all_0_8_8) % 5.27/1.87 | (94) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1)) % 5.27/1.87 | (95) ! [v0] : ! [v1] : ( ~ nonliving(v0, v1) | ~ animate(v0, v1)) % 5.27/1.87 | (96) barrel(all_0_10_10, all_0_4_4) % 5.27/1.87 | (97) ! [v0] : ! [v1] : ( ~ placename(v0, v1) | relname(v0, v1)) % 5.27/1.87 | (98) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1)) % 5.27/1.87 | (99) ! [v0] : ( ~ member(all_0_10_10, v0, all_0_3_3) | ? [v1] : ? [v2] : (in(all_0_10_10, v2, all_0_5_5) & be(all_0_10_10, v1, v0, v2) & state(all_0_10_10, v1))) % 5.27/1.87 | (100) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1)) % 5.27/1.87 | (101) ! [v0] : ! [v1] : ( ~ way(v0, v1) | artifact(v0, v1)) % 5.27/1.87 | (102) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1)) % 5.27/1.87 | (103) old(all_0_10_10, all_0_7_7) % 5.27/1.87 | (104) ! [v0] : ! [v1] : ( ~ set(v0, v1) | multiple(v0, v1)) % 5.27/1.87 | (105) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1)) % 5.27/1.87 | (106) dirty(all_0_10_10, all_0_7_7) % 5.27/1.87 | (107) ! [v0] : ! [v1] : ( ~ forename(v0, v1) | relname(v0, v1)) % 5.27/1.87 | (108) ! [v0] : ! [v1] : ( ~ group(v0, v1) | set(v0, v1)) % 5.27/1.88 | (109) ! [v0] : ! [v1] : ( ~ member(all_0_10_10, v1, all_0_3_3) | ~ member(all_0_10_10, v0, all_0_2_2) | ? [v2] : (present(all_0_10_10, v2) & patient(all_0_10_10, v2, v0) & agent(all_0_10_10, v2, v1) & nonreflexive(all_0_10_10, v2) & wear(all_0_10_10, v2) & event(all_0_10_10, v2))) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (31) with all_0_0_0, all_0_9_9, all_0_1_1, all_0_10_10 and discharging atoms be(all_0_10_10, all_0_1_1, all_0_9_9, all_0_0_0), yields: % 5.27/1.88 | (110) all_0_0_0 = all_0_9_9 % 5.27/1.88 | % 5.27/1.88 | From (110) and (32) follows: % 5.27/1.88 | (111) wheel(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (22) with all_0_9_9, all_0_10_10 and discharging atoms wheel(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (112) device(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (44) with all_0_9_9, all_0_10_10 and discharging atoms man(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (113) male(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (19) with all_0_9_9, all_0_10_10 and discharging atoms device(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (114) instrumentality(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (70) with all_0_9_9, all_0_10_10 and discharging atoms instrumentality(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (115) artifact(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (10) with all_0_9_9, all_0_10_10 and discharging atoms artifact(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (116) object(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (54) with all_0_9_9, all_0_10_10 and discharging atoms object(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (117) unisex(all_0_10_10, all_0_9_9) % 5.27/1.88 | % 5.27/1.88 | Instantiating formula (15) with all_0_9_9, all_0_10_10 and discharging atoms male(all_0_10_10, all_0_9_9), unisex(all_0_10_10, all_0_9_9), yields: % 5.27/1.88 | (118) $false % 5.27/1.88 | % 5.27/1.88 |-The branch is then unsatisfiable % 5.27/1.88 % SZS output end Proof for theBenchmark % 5.27/1.88 % 5.27/1.88 1315ms %------------------------------------------------------------------------------