%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NLP145+1 : TPTP v8.1.0. Released v2.4.0. % 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 01:56:22 EDT 2022 % Result : Theorem 3.19s 1.45s % Output : Proof 5.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NLP145+1 : TPTP v8.1.0. Released v2.4.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 30 20:14:23 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.58 ____ _ % 0.18/0.58 ___ / __ \_____(_)___ ________ __________ % 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic % 0.18/0.58 (ePrincess v.1.0) % 0.18/0.58 % 0.18/0.58 (c) Philipp Rümmer, 2009-2015 % 0.18/0.58 (c) Peter Backeman, 2014-2015 % 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.58 Bug reports to peter@backeman.se % 0.18/0.58 % 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.58 % 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.78/0.99 Prover 0: Preprocessing ... % 2.49/1.22 Prover 0: Constructing countermodel ... % 3.19/1.44 Prover 0: proved (816ms) % 3.19/1.45 % 3.19/1.45 No countermodel exists, formula is valid % 3.19/1.45 % SZS status Theorem for theBenchmark % 3.19/1.45 % 3.19/1.45 Generating proof ... found it (size 21) % 5.08/1.79 % 5.08/1.79 % SZS output start Proof for theBenchmark % 5.08/1.79 Assumed formulas after preprocessing and simplification: % 5.08/1.79 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (in(v0, v5, v1) & down(v0, v5, v4) & present(v0, v5) & agent(v0, v5, v3) & lonely(v0, v4) & dirty(v0, v3) & white(v0, v3) & actual_world(v0) & of(v0, v2, v1) & old(v0, v3) & group(v0, v6) & two(v0, v6) & event(v0, v5) & barrel(v0, v5) & chevy(v0, v3) & street(v0, v4) & placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v1) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ member(v7, v10, v8) | ~ member(v7, v9, v8) | two(v7, v8) | ? [v11] : ( ~ (v11 = v10) & ~ (v11 = v9) & member(v7, v11, v8))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ be(v7, v8, v9, v10)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ of(v7, v10, v8) | ~ of(v7, v9, v8) | ~ entity(v7, v8) | ~ placename(v7, v10) | ~ placename(v7, v9)) & ! [v7] : ! [v8] : ~ member(v7, v8, v8) & ! [v7] : ! [v8] : ( ~ old(v7, v8) | ~ young(v7, v8)) & ! [v7] : ! [v8] : ( ~ fellow(v7, v8) | man(v7, v8)) & ! [v7] : ! [v8] : ( ~ singleton(v7, v8) | ~ multiple(v7, v8)) & ! [v7] : ! [v8] : ( ~ existent(v7, v8) | ~ nonexistent(v7, v8)) & ! [v7] : ! [v8] : ( ~ living(v7, v8) | ~ nonliving(v7, v8)) & ! [v7] : ! [v8] : ( ~ organism(v7, v8) | living(v7, v8)) & ! [v7] : ! [v8] : ( ~ organism(v7, v8) | entity(v7, v8)) & ! [v7] : ! [v8] : ( ~ organism(v7, v8) | impartial(v7, v8)) & ! [v7] : ! [v8] : ( ~ human(v7, v8) | ~ nonhuman(v7, v8)) & ! [v7] : ! [v8] : ( ~ animate(v7, v8) | ~ nonliving(v7, v8)) & ! [v7] : ! [v8] : ( ~ human_person(v7, v8) | organism(v7, v8)) & ! [v7] : ! [v8] : ( ~ human_person(v7, v8) | human(v7, v8)) & ! [v7] : ! [v8] : ( ~ human_person(v7, v8) | animate(v7, v8)) & ! [v7] : ! [v8] : ( ~ male(v7, v8) | ~ unisex(v7, v8)) & ! [v7] : ! [v8] : ( ~ man(v7, v8) | human_person(v7, v8)) & ! [v7] : ! [v8] : ( ~ man(v7, v8) | male(v7, v8)) & ! [v7] : ! [v8] : ( ~ set(v7, v8) | multiple(v7, v8)) & ! [v7] : ! [v8] : ( ~ group(v7, v8) | set(v7, v8)) & ! [v7] : ! [v8] : ( ~ two(v7, v8) | group(v7, v8)) & ! [v7] : ! [v8] : ( ~ two(v7, v8) | ? [v9] : ? [v10] : ( ~ (v10 = v9) & member(v7, v10, v8) & member(v7, v9, v8) & ! [v11] : (v11 = v10 | v11 = v9 | ~ member(v7, v11, v8)))) & ! [v7] : ! [v8] : ( ~ specific(v7, v8) | ~ general(v7, v8)) & ! [v7] : ! [v8] : ( ~ state(v7, v8) | eventuality(v7, v8)) & ! [v7] : ! [v8] : ( ~ state(v7, v8) | event(v7, v8)) & ! [v7] : ! [v8] : ( ~ eventuality(v7, v8) | specific(v7, v8)) & ! [v7] : ! [v8] : ( ~ eventuality(v7, v8) | nonexistent(v7, v8)) & ! [v7] : ! [v8] : ( ~ eventuality(v7, v8) | thing(v7, v8)) & ! [v7] : ! [v8] : ( ~ eventuality(v7, v8) | unisex(v7, v8)) & ! [v7] : ! [v8] : ( ~ event(v7, v8) | eventuality(v7, v8)) & ! [v7] : ! [v8] : ( ~ barrel(v7, v8) | event(v7, v8)) & ! [v7] : ! [v8] : ( ~ chevy(v7, v8) | car(v7, v8)) & ! [v7] : ! [v8] : ( ~ car(v7, v8) | vehicle(v7, v8)) & ! [v7] : ! [v8] : ( ~ vehicle(v7, v8) | transport(v7, v8)) & ! [v7] : ! [v8] : ( ~ transport(v7, v8) | instrumentality(v7, v8)) & ! [v7] : ! [v8] : ( ~ entity(v7, v8) | existent(v7, v8)) & ! [v7] : ! [v8] : ( ~ entity(v7, v8) | specific(v7, v8)) & ! [v7] : ! [v8] : ( ~ entity(v7, v8) | thing(v7, v8)) & ! [v7] : ! [v8] : ( ~ street(v7, v8) | way(v7, v8)) & ! [v7] : ! [v8] : ( ~ artifact(v7, v8) | object(v7, v8)) & ! [v7] : ! [v8] : ( ~ way(v7, v8) | artifact(v7, v8)) & ! [v7] : ! [v8] : ( ~ relname(v7, v8) | relation(v7, v8)) & ! [v7] : ! [v8] : ( ~ relation(v7, v8) | abstraction(v7, v8)) & ! [v7] : ! [v8] : ( ~ thing(v7, v8) | singleton(v7, v8)) & ! [v7] : ! [v8] : ( ~ abstraction(v7, v8) | thing(v7, v8)) & ! [v7] : ! [v8] : ( ~ abstraction(v7, v8) | nonhuman(v7, v8)) & ! [v7] : ! [v8] : ( ~ abstraction(v7, v8) | general(v7, v8)) & ! [v7] : ! [v8] : ( ~ abstraction(v7, v8) | unisex(v7, v8)) & ! [v7] : ! [v8] : ( ~ placename(v7, v8) | relname(v7, v8)) & ! [v7] : ! [v8] : ( ~ hollywood_placename(v7, v8) | placename(v7, v8)) & ! [v7] : ! [v8] : ( ~ city(v7, v8) | location(v7, v8)) & ! [v7] : ! [v8] : ( ~ object(v7, v8) | entity(v7, v8)) & ! [v7] : ! [v8] : ( ~ object(v7, v8) | nonliving(v7, v8)) & ! [v7] : ! [v8] : ( ~ object(v7, v8) | impartial(v7, v8)) & ! [v7] : ! [v8] : ( ~ object(v7, v8) | unisex(v7, v8)) & ! [v7] : ! [v8] : ( ~ location(v7, v8) | object(v7, v8)) & ! [v7] : ! [v8] : ( ~ frontseat(v7, v8) | seat(v7, v8)) & ! [v7] : ! [v8] : ( ~ seat(v7, v8) | furniture(v7, v8)) & ! [v7] : ! [v8] : ( ~ instrumentality(v7, v8) | artifact(v7, v8)) & ! [v7] : ! [v8] : ( ~ furniture(v7, v8) | instrumentality(v7, v8)) & ! [v7] : ( ~ member(v0, v7, v6) | young(v0, v7)) & ! [v7] : ( ~ member(v0, v7, v6) | fellow(v0, v7)) & ! [v7] : ( ~ member(v0, v7, v6) | ? [v8] : ? [v9] : (in(v0, v9, v9) & be(v0, v8, v7, v9) & state(v0, v8) & frontseat(v0, v9)))) % 5.18/1.81 | 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 yields: % 5.18/1.81 | (1) in(all_0_6_6, all_0_1_1, all_0_5_5) & down(all_0_6_6, all_0_1_1, all_0_2_2) & present(all_0_6_6, all_0_1_1) & agent(all_0_6_6, all_0_1_1, all_0_3_3) & lonely(all_0_6_6, all_0_2_2) & dirty(all_0_6_6, all_0_3_3) & white(all_0_6_6, all_0_3_3) & actual_world(all_0_6_6) & of(all_0_6_6, all_0_4_4, all_0_5_5) & old(all_0_6_6, all_0_3_3) & group(all_0_6_6, all_0_0_0) & two(all_0_6_6, all_0_0_0) & event(all_0_6_6, all_0_1_1) & barrel(all_0_6_6, all_0_1_1) & chevy(all_0_6_6, all_0_3_3) & street(all_0_6_6, all_0_2_2) & placename(all_0_6_6, all_0_4_4) & hollywood_placename(all_0_6_6, all_0_4_4) & city(all_0_6_6, all_0_5_5) & ! [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 | ~ be(v0, v1, v2, v3)) & ! [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] : ~ member(v0, v1, v1) & ! [v0] : ! [v1] : ( ~ old(v0, v1) | ~ young(v0, v1)) & ! [v0] : ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1)) & ! [v0] : ! [v1] : ( ~ singleton(v0, v1) | ~ multiple(v0, v1)) & ! [v0] : ! [v1] : ( ~ existent(v0, v1) | ~ nonexistent(v0, v1)) & ! [v0] : ! [v1] : ( ~ living(v0, v1) | ~ nonliving(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1)) & ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1)) & ! [v0] : ! [v1] : ( ~ human(v0, v1) | ~ nonhuman(v0, v1)) & ! [v0] : ! [v1] : ( ~ animate(v0, v1) | ~ nonliving(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] : ( ~ set(v0, v1) | multiple(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] : ( ~ specific(v0, v1) | ~ general(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1)) & ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1)) & ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1)) & ! [v0] : ! [v1] : ( ~ barrel(v0, v1) | event(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] : ( ~ entity(v0, v1) | existent(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1)) & ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(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] : ( ~ relname(v0, v1) | relation(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) | entity(v0, v1)) & ! [v0] : ! [v1] : ( ~ object(v0, v1) | nonliving(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] : ( ~ member(all_0_6_6, v0, all_0_0_0) | young(all_0_6_6, v0)) & ! [v0] : ( ~ member(all_0_6_6, v0, all_0_0_0) | fellow(all_0_6_6, v0)) & ! [v0] : ( ~ member(all_0_6_6, v0, all_0_0_0) | ? [v1] : ? [v2] : (in(all_0_6_6, v2, v2) & be(all_0_6_6, v1, v0, v2) & state(all_0_6_6, v1) & frontseat(all_0_6_6, v2))) % 5.26/1.82 | % 5.26/1.82 | Applying alpha-rule on (1) yields: % 5.26/1.82 | (2) ! [v0] : ! [v1] : ( ~ city(v0, v1) | location(v0, v1)) % 5.26/1.82 | (3) ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1)) % 5.26/1.82 | (4) group(all_0_6_6, all_0_0_0) % 5.26/1.82 | (5) dirty(all_0_6_6, all_0_3_3) % 5.26/1.82 | (6) ! [v0] : ! [v1] : ( ~ group(v0, v1) | set(v0, v1)) % 5.26/1.82 | (7) ! [v0] : ! [v1] : ( ~ male(v0, v1) | ~ unisex(v0, v1)) % 5.26/1.82 | (8) ! [v0] : ! [v1] : ( ~ hollywood_placename(v0, v1) | placename(v0, v1)) % 5.26/1.82 | (9) ! [v0] : ! [v1] : ( ~ set(v0, v1) | multiple(v0, v1)) % 5.26/1.82 | (10) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1)) % 5.26/1.82 | (11) ! [v0] : ! [v1] : ( ~ vehicle(v0, v1) | transport(v0, v1)) % 5.26/1.82 | (12) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1)) % 5.26/1.82 | (13) hollywood_placename(all_0_6_6, all_0_4_4) % 5.26/1.82 | (14) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1)) % 5.26/1.83 | (15) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1)) % 5.26/1.83 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ placename(v0, v3) | ~ placename(v0, v2)) % 5.26/1.83 | (17) ! [v0] : ! [v1] : ( ~ old(v0, v1) | ~ young(v0, v1)) % 5.26/1.83 | (18) ! [v0] : ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1)) % 5.26/1.83 | (19) ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1)) % 5.26/1.83 | (20) ! [v0] : ! [v1] : ( ~ location(v0, v1) | object(v0, v1)) % 5.26/1.83 | (21) ! [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))) % 5.26/1.83 | (22) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1)) % 5.26/1.83 | (23) ! [v0] : ! [v1] : ( ~ living(v0, v1) | ~ nonliving(v0, v1)) % 5.26/1.83 | (24) placename(all_0_6_6, all_0_4_4) % 5.26/1.83 | (25) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1)) % 5.26/1.83 | (26) street(all_0_6_6, all_0_2_2) % 5.26/1.83 | (27) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1)) % 5.26/1.83 | (28) ! [v0] : ! [v1] : ( ~ car(v0, v1) | vehicle(v0, v1)) % 5.26/1.83 | (29) ! [v0] : ! [v1] : ( ~ object(v0, v1) | nonliving(v0, v1)) % 5.26/1.83 | (30) barrel(all_0_6_6, all_0_1_1) % 5.26/1.83 | (31) ! [v0] : ! [v1] : ( ~ barrel(v0, v1) | event(v0, v1)) % 5.26/1.83 | (32) ! [v0] : ! [v1] : ( ~ object(v0, v1) | impartial(v0, v1)) % 5.26/1.83 | (33) lonely(all_0_6_6, all_0_2_2) % 5.26/1.83 | (34) ! [v0] : ( ~ member(all_0_6_6, v0, all_0_0_0) | fellow(all_0_6_6, v0)) % 5.26/1.83 | (35) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1)) % 5.26/1.83 | (36) ! [v0] : ! [v1] : ( ~ seat(v0, v1) | furniture(v0, v1)) % 5.26/1.83 | (37) chevy(all_0_6_6, all_0_3_3) % 5.26/1.83 | (38) ! [v0] : ! [v1] : ( ~ placename(v0, v1) | relname(v0, v1)) % 5.26/1.83 | (39) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1)) % 5.26/1.83 | (40) event(all_0_6_6, all_0_1_1) % 5.26/1.83 | (41) two(all_0_6_6, all_0_0_0) % 5.26/1.83 | (42) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1)) % 5.26/1.83 | (43) down(all_0_6_6, all_0_1_1, all_0_2_2) % 5.26/1.83 | (44) ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1)) % 5.26/1.83 | (45) ! [v0] : ! [v1] : ( ~ specific(v0, v1) | ~ general(v0, v1)) % 5.26/1.83 | (46) ! [v0] : ! [v1] : ( ~ two(v0, v1) | group(v0, v1)) % 5.26/1.83 | (47) ! [v0] : ! [v1] : ( ~ singleton(v0, v1) | ~ multiple(v0, v1)) % 5.26/1.83 | (48) agent(all_0_6_6, all_0_1_1, all_0_3_3) % 5.26/1.83 | (49) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1)) % 5.26/1.83 | (50) ! [v0] : ! [v1] : ( ~ street(v0, v1) | way(v0, v1)) % 5.26/1.83 | (51) ! [v0] : ! [v1] : ( ~ chevy(v0, v1) | car(v0, v1)) % 5.26/1.83 | (52) actual_world(all_0_6_6) % 5.26/1.83 | (53) ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1)) % 5.26/1.83 | (54) ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1)) % 5.26/1.83 | (55) ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1)) % 5.26/1.83 | (56) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1)) % 5.26/1.83 | (57) present(all_0_6_6, all_0_1_1) % 5.26/1.83 | (58) ! [v0] : ! [v1] : ( ~ existent(v0, v1) | ~ nonexistent(v0, v1)) % 5.26/1.83 | (59) ! [v0] : ! [v1] : ( ~ furniture(v0, v1) | instrumentality(v0, v1)) % 5.26/1.83 | (60) city(all_0_6_6, all_0_5_5) % 5.26/1.83 | (61) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1)) % 5.26/1.83 | (62) ! [v0] : ! [v1] : ~ member(v0, v1, v1) % 5.26/1.84 | (63) ! [v0] : ! [v1] : ( ~ transport(v0, v1) | instrumentality(v0, v1)) % 5.26/1.84 | (64) ! [v0] : ( ~ member(all_0_6_6, v0, all_0_0_0) | young(all_0_6_6, v0)) % 5.26/1.84 | (65) ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1)) % 5.26/1.84 | (66) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1)) % 5.26/1.84 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3)) % 5.26/1.84 | (68) ! [v0] : ! [v1] : ( ~ instrumentality(v0, v1) | artifact(v0, v1)) % 5.26/1.84 | (69) ! [v0] : ! [v1] : ( ~ object(v0, v1) | entity(v0, v1)) % 5.26/1.84 | (70) ! [v0] : ! [v1] : ( ~ way(v0, v1) | artifact(v0, v1)) % 5.26/1.84 | (71) ! [v0] : ! [v1] : ( ~ human(v0, v1) | ~ nonhuman(v0, v1)) % 5.26/1.84 | (72) old(all_0_6_6, all_0_3_3) % 5.26/1.84 | (73) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1)) % 5.26/1.84 | (74) ! [v0] : ! [v1] : ( ~ animate(v0, v1) | ~ nonliving(v0, v1)) % 5.26/1.84 | (75) ! [v0] : ! [v1] : ( ~ artifact(v0, v1) | object(v0, v1)) % 5.26/1.84 | (76) ! [v0] : ! [v1] : ( ~ object(v0, v1) | unisex(v0, v1)) % 5.26/1.84 | (77) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1)) % 5.26/1.84 | (78) of(all_0_6_6, all_0_4_4, all_0_5_5) % 5.26/1.84 | (79) ! [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)))) % 5.26/1.84 | (80) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1)) % 5.26/1.84 | (81) ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1)) % 5.26/1.84 | (82) ! [v0] : ( ~ member(all_0_6_6, v0, all_0_0_0) | ? [v1] : ? [v2] : (in(all_0_6_6, v2, v2) & be(all_0_6_6, v1, v0, v2) & state(all_0_6_6, v1) & frontseat(all_0_6_6, v2))) % 5.26/1.84 | (83) white(all_0_6_6, all_0_3_3) % 5.26/1.84 | (84) ! [v0] : ! [v1] : ( ~ frontseat(v0, v1) | seat(v0, v1)) % 5.26/1.84 | (85) in(all_0_6_6, all_0_1_1, all_0_5_5) % 5.26/1.84 | % 5.26/1.84 | Instantiating formula (79) with all_0_0_0, all_0_6_6 and discharging atoms two(all_0_6_6, all_0_0_0), yields: % 5.26/1.84 | (86) ? [v0] : ? [v1] : ( ~ (v1 = v0) & member(all_0_6_6, v1, all_0_0_0) & member(all_0_6_6, v0, all_0_0_0) & ! [v2] : (v2 = v1 | v2 = v0 | ~ member(all_0_6_6, v2, all_0_0_0))) % 5.26/1.84 | % 5.26/1.84 | Instantiating (86) with all_9_0_7, all_9_1_8 yields: % 5.26/1.84 | (87) ~ (all_9_0_7 = all_9_1_8) & member(all_0_6_6, all_9_0_7, all_0_0_0) & member(all_0_6_6, all_9_1_8, all_0_0_0) & ! [v0] : (v0 = all_9_0_7 | v0 = all_9_1_8 | ~ member(all_0_6_6, v0, all_0_0_0)) % 5.26/1.84 | % 5.26/1.84 | Applying alpha-rule on (87) yields: % 5.26/1.84 | (88) ~ (all_9_0_7 = all_9_1_8) % 5.26/1.84 | (89) member(all_0_6_6, all_9_0_7, all_0_0_0) % 5.26/1.84 | (90) member(all_0_6_6, all_9_1_8, all_0_0_0) % 5.26/1.84 | (91) ! [v0] : (v0 = all_9_0_7 | v0 = all_9_1_8 | ~ member(all_0_6_6, v0, all_0_0_0)) % 5.26/1.84 | % 5.26/1.84 | Instantiating formula (34) with all_9_1_8 and discharging atoms member(all_0_6_6, all_9_1_8, all_0_0_0), yields: % 5.26/1.84 | (92) fellow(all_0_6_6, all_9_1_8) % 5.26/1.84 | % 5.26/1.84 | Instantiating formula (82) with all_9_1_8 and discharging atoms member(all_0_6_6, all_9_1_8, all_0_0_0), yields: % 5.26/1.84 | (93) ? [v0] : ? [v1] : (in(all_0_6_6, v1, v1) & be(all_0_6_6, v0, all_9_1_8, v1) & state(all_0_6_6, v0) & frontseat(all_0_6_6, v1)) % 5.26/1.84 | % 5.26/1.84 | Instantiating (93) with all_18_0_9, all_18_1_10 yields: % 5.26/1.84 | (94) in(all_0_6_6, all_18_0_9, all_18_0_9) & be(all_0_6_6, all_18_1_10, all_9_1_8, all_18_0_9) & state(all_0_6_6, all_18_1_10) & frontseat(all_0_6_6, all_18_0_9) % 5.26/1.84 | % 5.26/1.85 | Applying alpha-rule on (94) yields: % 5.26/1.85 | (95) in(all_0_6_6, all_18_0_9, all_18_0_9) % 5.26/1.85 | (96) be(all_0_6_6, all_18_1_10, all_9_1_8, all_18_0_9) % 5.26/1.85 | (97) state(all_0_6_6, all_18_1_10) % 5.26/1.85 | (98) frontseat(all_0_6_6, all_18_0_9) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (67) with all_18_0_9, all_9_1_8, all_18_1_10, all_0_6_6 and discharging atoms be(all_0_6_6, all_18_1_10, all_9_1_8, all_18_0_9), yields: % 5.26/1.85 | (99) all_18_0_9 = all_9_1_8 % 5.26/1.85 | % 5.26/1.85 | From (99) and (98) follows: % 5.26/1.85 | (100) frontseat(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (18) with all_9_1_8, all_0_6_6 and discharging atoms fellow(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (101) man(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (84) with all_9_1_8, all_0_6_6 and discharging atoms frontseat(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (102) seat(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (65) with all_9_1_8, all_0_6_6 and discharging atoms man(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (103) male(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (36) with all_9_1_8, all_0_6_6 and discharging atoms seat(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (104) furniture(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (59) with all_9_1_8, all_0_6_6 and discharging atoms furniture(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (105) instrumentality(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (68) with all_9_1_8, all_0_6_6 and discharging atoms instrumentality(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (106) artifact(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (75) with all_9_1_8, all_0_6_6 and discharging atoms artifact(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (107) object(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (76) with all_9_1_8, all_0_6_6 and discharging atoms object(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (108) unisex(all_0_6_6, all_9_1_8) % 5.26/1.85 | % 5.26/1.85 | Instantiating formula (7) with all_9_1_8, all_0_6_6 and discharging atoms male(all_0_6_6, all_9_1_8), unisex(all_0_6_6, all_9_1_8), yields: % 5.26/1.85 | (109) $false % 5.26/1.85 | % 5.26/1.85 |-The branch is then unsatisfiable % 5.26/1.85 % SZS output end Proof for theBenchmark % 5.26/1.85 % 5.26/1.85 1262ms %------------------------------------------------------------------------------