TSTP Solution File: NLP143+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n015.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 01:56:20 EDT 2022
% Result : Theorem 3.09s 1.42s
% Output : Proof 5.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n015.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 22:04:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.57 ____ _
% 0.51/0.57 ___ / __ \_____(_)___ ________ __________
% 0.51/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.57
% 0.51/0.57 A Theorem Prover for First-Order Logic
% 0.51/0.58 (ePrincess v.1.0)
% 0.51/0.58
% 0.51/0.58 (c) Philipp Rümmer, 2009-2015
% 0.51/0.58 (c) Peter Backeman, 2014-2015
% 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.58 Bug reports to peter@backeman.se
% 0.51/0.58
% 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.58
% 0.51/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.51/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.69/0.97 Prover 0: Preprocessing ...
% 2.34/1.20 Prover 0: Constructing countermodel ...
% 3.09/1.42 Prover 0: proved (798ms)
% 3.09/1.42
% 3.09/1.42 No countermodel exists, formula is valid
% 3.09/1.42 % SZS status Theorem for theBenchmark
% 3.09/1.42
% 3.09/1.43 Generating proof ... found it (size 21)
% 4.88/1.76
% 4.88/1.76 % SZS output start Proof for theBenchmark
% 4.88/1.76 Assumed formulas after preprocessing and simplification:
% 4.88/1.76 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (in(v0, v4, v2) & down(v0, v4, v3) & present(v0, v4) & agent(v0, v4, v2) & lonely(v0, v3) & dirty(v0, v2) & white(v0, v2) & actual_world(v0) & of(v0, v1, v2) & old(v0, v2) & group(v0, v5) & two(v0, v5) & event(v0, v4) & barrel(v0, v4) & chevy(v0, v2) & street(v0, v3) & placename(v0, v1) & hollywood_placename(v0, v1) & city(v0, v2) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v8 | ~ member(v6, v9, v7) | ~ member(v6, v8, v7) | two(v6, v7) | ? [v10] : ( ~ (v10 = v9) & ~ (v10 = v8) & member(v6, v10, v7))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v8 | ~ be(v6, v7, v8, v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v8 | ~ of(v6, v9, v7) | ~ of(v6, v8, v7) | ~ entity(v6, v7) | ~ placename(v6, v9) | ~ placename(v6, v8)) & ! [v6] : ! [v7] : ~ member(v6, v7, v7) & ! [v6] : ! [v7] : ( ~ old(v6, v7) | ~ young(v6, v7)) & ! [v6] : ! [v7] : ( ~ fellow(v6, v7) | man(v6, v7)) & ! [v6] : ! [v7] : ( ~ singleton(v6, v7) | ~ multiple(v6, v7)) & ! [v6] : ! [v7] : ( ~ existent(v6, v7) | ~ nonexistent(v6, v7)) & ! [v6] : ! [v7] : ( ~ living(v6, v7) | ~ nonliving(v6, v7)) & ! [v6] : ! [v7] : ( ~ organism(v6, v7) | living(v6, v7)) & ! [v6] : ! [v7] : ( ~ organism(v6, v7) | entity(v6, v7)) & ! [v6] : ! [v7] : ( ~ organism(v6, v7) | impartial(v6, v7)) & ! [v6] : ! [v7] : ( ~ human(v6, v7) | ~ nonhuman(v6, v7)) & ! [v6] : ! [v7] : ( ~ animate(v6, v7) | ~ nonliving(v6, v7)) & ! [v6] : ! [v7] : ( ~ human_person(v6, v7) | organism(v6, v7)) & ! [v6] : ! [v7] : ( ~ human_person(v6, v7) | human(v6, v7)) & ! [v6] : ! [v7] : ( ~ human_person(v6, v7) | animate(v6, v7)) & ! [v6] : ! [v7] : ( ~ male(v6, v7) | ~ unisex(v6, v7)) & ! [v6] : ! [v7] : ( ~ man(v6, v7) | human_person(v6, v7)) & ! [v6] : ! [v7] : ( ~ man(v6, v7) | male(v6, v7)) & ! [v6] : ! [v7] : ( ~ set(v6, v7) | multiple(v6, v7)) & ! [v6] : ! [v7] : ( ~ group(v6, v7) | set(v6, v7)) & ! [v6] : ! [v7] : ( ~ two(v6, v7) | group(v6, v7)) & ! [v6] : ! [v7] : ( ~ two(v6, v7) | ? [v8] : ? [v9] : ( ~ (v9 = v8) & member(v6, v9, v7) & member(v6, v8, v7) & ! [v10] : (v10 = v9 | v10 = v8 | ~ member(v6, v10, v7)))) & ! [v6] : ! [v7] : ( ~ specific(v6, v7) | ~ general(v6, v7)) & ! [v6] : ! [v7] : ( ~ state(v6, v7) | eventuality(v6, v7)) & ! [v6] : ! [v7] : ( ~ state(v6, v7) | event(v6, v7)) & ! [v6] : ! [v7] : ( ~ eventuality(v6, v7) | specific(v6, v7)) & ! [v6] : ! [v7] : ( ~ eventuality(v6, v7) | nonexistent(v6, v7)) & ! [v6] : ! [v7] : ( ~ eventuality(v6, v7) | thing(v6, v7)) & ! [v6] : ! [v7] : ( ~ eventuality(v6, v7) | unisex(v6, v7)) & ! [v6] : ! [v7] : ( ~ event(v6, v7) | eventuality(v6, v7)) & ! [v6] : ! [v7] : ( ~ barrel(v6, v7) | event(v6, v7)) & ! [v6] : ! [v7] : ( ~ chevy(v6, v7) | car(v6, v7)) & ! [v6] : ! [v7] : ( ~ car(v6, v7) | vehicle(v6, v7)) & ! [v6] : ! [v7] : ( ~ vehicle(v6, v7) | transport(v6, v7)) & ! [v6] : ! [v7] : ( ~ transport(v6, v7) | instrumentality(v6, v7)) & ! [v6] : ! [v7] : ( ~ entity(v6, v7) | existent(v6, v7)) & ! [v6] : ! [v7] : ( ~ entity(v6, v7) | specific(v6, v7)) & ! [v6] : ! [v7] : ( ~ entity(v6, v7) | thing(v6, v7)) & ! [v6] : ! [v7] : ( ~ street(v6, v7) | way(v6, v7)) & ! [v6] : ! [v7] : ( ~ artifact(v6, v7) | object(v6, v7)) & ! [v6] : ! [v7] : ( ~ way(v6, v7) | artifact(v6, v7)) & ! [v6] : ! [v7] : ( ~ relname(v6, v7) | relation(v6, v7)) & ! [v6] : ! [v7] : ( ~ relation(v6, v7) | abstraction(v6, v7)) & ! [v6] : ! [v7] : ( ~ thing(v6, v7) | singleton(v6, v7)) & ! [v6] : ! [v7] : ( ~ abstraction(v6, v7) | thing(v6, v7)) & ! [v6] : ! [v7] : ( ~ abstraction(v6, v7) | nonhuman(v6, v7)) & ! [v6] : ! [v7] : ( ~ abstraction(v6, v7) | general(v6, v7)) & ! [v6] : ! [v7] : ( ~ abstraction(v6, v7) | unisex(v6, v7)) & ! [v6] : ! [v7] : ( ~ placename(v6, v7) | relname(v6, v7)) & ! [v6] : ! [v7] : ( ~ hollywood_placename(v6, v7) | placename(v6, v7)) & ! [v6] : ! [v7] : ( ~ city(v6, v7) | location(v6, v7)) & ! [v6] : ! [v7] : ( ~ object(v6, v7) | entity(v6, v7)) & ! [v6] : ! [v7] : ( ~ object(v6, v7) | nonliving(v6, v7)) & ! [v6] : ! [v7] : ( ~ object(v6, v7) | impartial(v6, v7)) & ! [v6] : ! [v7] : ( ~ object(v6, v7) | unisex(v6, v7)) & ! [v6] : ! [v7] : ( ~ location(v6, v7) | object(v6, v7)) & ! [v6] : ! [v7] : ( ~ frontseat(v6, v7) | seat(v6, v7)) & ! [v6] : ! [v7] : ( ~ seat(v6, v7) | furniture(v6, v7)) & ! [v6] : ! [v7] : ( ~ instrumentality(v6, v7) | artifact(v6, v7)) & ! [v6] : ! [v7] : ( ~ furniture(v6, v7) | instrumentality(v6, v7)) & ! [v6] : ( ~ member(v0, v6, v5) | young(v0, v6)) & ! [v6] : ( ~ member(v0, v6, v5) | fellow(v0, v6)) & ! [v6] : ( ~ member(v0, v6, v5) | ? [v7] : ? [v8] : (in(v0, v8, v8) & be(v0, v7, v6, v8) & state(v0, v7) & frontseat(v0, v8))))
% 4.98/1.78 | 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 yields:
% 4.98/1.78 | (1) in(all_0_5_5, all_0_1_1, all_0_3_3) & down(all_0_5_5, all_0_1_1, all_0_2_2) & present(all_0_5_5, all_0_1_1) & agent(all_0_5_5, all_0_1_1, all_0_3_3) & lonely(all_0_5_5, all_0_2_2) & dirty(all_0_5_5, all_0_3_3) & white(all_0_5_5, all_0_3_3) & actual_world(all_0_5_5) & of(all_0_5_5, all_0_4_4, all_0_3_3) & old(all_0_5_5, all_0_3_3) & group(all_0_5_5, all_0_0_0) & two(all_0_5_5, all_0_0_0) & event(all_0_5_5, all_0_1_1) & barrel(all_0_5_5, all_0_1_1) & chevy(all_0_5_5, all_0_3_3) & street(all_0_5_5, all_0_2_2) & placename(all_0_5_5, all_0_4_4) & hollywood_placename(all_0_5_5, all_0_4_4) & city(all_0_5_5, all_0_3_3) & ! [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_5_5, v0, all_0_0_0) | young(all_0_5_5, v0)) & ! [v0] : ( ~ member(all_0_5_5, v0, all_0_0_0) | fellow(all_0_5_5, v0)) & ! [v0] : ( ~ member(all_0_5_5, v0, all_0_0_0) | ? [v1] : ? [v2] : (in(all_0_5_5, v2, v2) & be(all_0_5_5, v1, v0, v2) & state(all_0_5_5, v1) & frontseat(all_0_5_5, v2)))
% 4.98/1.79 |
% 4.98/1.79 | Applying alpha-rule on (1) yields:
% 4.98/1.79 | (2) ! [v0] : ! [v1] : ( ~ city(v0, v1) | location(v0, v1))
% 4.98/1.79 | (3) two(all_0_5_5, all_0_0_0)
% 4.98/1.79 | (4) ! [v0] : ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1))
% 4.98/1.79 | (5) actual_world(all_0_5_5)
% 4.98/1.79 | (6) ! [v0] : ! [v1] : ( ~ group(v0, v1) | set(v0, v1))
% 4.98/1.79 | (7) in(all_0_5_5, all_0_1_1, all_0_3_3)
% 4.98/1.79 | (8) ! [v0] : ! [v1] : ( ~ male(v0, v1) | ~ unisex(v0, v1))
% 4.98/1.79 | (9) ! [v0] : ! [v1] : ( ~ hollywood_placename(v0, v1) | placename(v0, v1))
% 4.98/1.79 | (10) ! [v0] : ! [v1] : ( ~ set(v0, v1) | multiple(v0, v1))
% 4.98/1.79 | (11) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1))
% 4.98/1.80 | (12) old(all_0_5_5, all_0_3_3)
% 4.98/1.80 | (13) ! [v0] : ! [v1] : ( ~ vehicle(v0, v1) | transport(v0, v1))
% 4.98/1.80 | (14) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1))
% 4.98/1.80 | (15) placename(all_0_5_5, all_0_4_4)
% 4.98/1.80 | (16) street(all_0_5_5, all_0_2_2)
% 4.98/1.80 | (17) barrel(all_0_5_5, all_0_1_1)
% 4.98/1.80 | (18) ! [v0] : ( ~ member(all_0_5_5, v0, all_0_0_0) | ? [v1] : ? [v2] : (in(all_0_5_5, v2, v2) & be(all_0_5_5, v1, v0, v2) & state(all_0_5_5, v1) & frontseat(all_0_5_5, v2)))
% 4.98/1.80 | (19) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1))
% 4.98/1.80 | (20) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1))
% 4.98/1.80 | (21) city(all_0_5_5, all_0_3_3)
% 4.98/1.80 | (22) white(all_0_5_5, all_0_3_3)
% 4.98/1.80 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ of(v0, v3, v1) | ~ of(v0, v2, v1) | ~ entity(v0, v1) | ~ placename(v0, v3) | ~ placename(v0, v2))
% 4.98/1.80 | (24) ! [v0] : ! [v1] : ( ~ old(v0, v1) | ~ young(v0, v1))
% 4.98/1.80 | (25) ! [v0] : ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1))
% 4.98/1.80 | (26) ! [v0] : ! [v1] : ( ~ state(v0, v1) | event(v0, v1))
% 4.98/1.80 | (27) ! [v0] : ! [v1] : ( ~ location(v0, v1) | object(v0, v1))
% 4.98/1.80 | (28) ! [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)))
% 4.98/1.80 | (29) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1))
% 4.98/1.80 | (30) ! [v0] : ! [v1] : ( ~ living(v0, v1) | ~ nonliving(v0, v1))
% 4.98/1.80 | (31) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1))
% 4.98/1.80 | (32) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1))
% 4.98/1.80 | (33) ! [v0] : ! [v1] : ( ~ car(v0, v1) | vehicle(v0, v1))
% 4.98/1.80 | (34) ! [v0] : ( ~ member(all_0_5_5, v0, all_0_0_0) | young(all_0_5_5, v0))
% 4.98/1.80 | (35) ! [v0] : ! [v1] : ( ~ object(v0, v1) | nonliving(v0, v1))
% 4.98/1.80 | (36) ! [v0] : ! [v1] : ( ~ barrel(v0, v1) | event(v0, v1))
% 4.98/1.80 | (37) ! [v0] : ! [v1] : ( ~ object(v0, v1) | impartial(v0, v1))
% 4.98/1.80 | (38) agent(all_0_5_5, all_0_1_1, all_0_3_3)
% 4.98/1.80 | (39) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1))
% 4.98/1.80 | (40) ! [v0] : ! [v1] : ( ~ seat(v0, v1) | furniture(v0, v1))
% 4.98/1.80 | (41) ! [v0] : ! [v1] : ( ~ placename(v0, v1) | relname(v0, v1))
% 4.98/1.80 | (42) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1))
% 4.98/1.80 | (43) lonely(all_0_5_5, all_0_2_2)
% 4.98/1.80 | (44) ! [v0] : ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1))
% 4.98/1.80 | (45) hollywood_placename(all_0_5_5, all_0_4_4)
% 4.98/1.80 | (46) ! [v0] : ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1))
% 4.98/1.80 | (47) chevy(all_0_5_5, all_0_3_3)
% 4.98/1.80 | (48) ! [v0] : ! [v1] : ( ~ specific(v0, v1) | ~ general(v0, v1))
% 4.98/1.80 | (49) ! [v0] : ! [v1] : ( ~ two(v0, v1) | group(v0, v1))
% 4.98/1.80 | (50) ! [v0] : ! [v1] : ( ~ singleton(v0, v1) | ~ multiple(v0, v1))
% 4.98/1.80 | (51) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1))
% 4.98/1.80 | (52) present(all_0_5_5, all_0_1_1)
% 4.98/1.80 | (53) ! [v0] : ! [v1] : ( ~ street(v0, v1) | way(v0, v1))
% 4.98/1.80 | (54) ! [v0] : ! [v1] : ( ~ chevy(v0, v1) | car(v0, v1))
% 4.98/1.80 | (55) ! [v0] : ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1))
% 4.98/1.80 | (56) ! [v0] : ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1))
% 4.98/1.81 | (57) down(all_0_5_5, all_0_1_1, all_0_2_2)
% 4.98/1.81 | (58) of(all_0_5_5, all_0_4_4, all_0_3_3)
% 4.98/1.81 | (59) ! [v0] : ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1))
% 4.98/1.81 | (60) ! [v0] : ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1))
% 4.98/1.81 | (61) ! [v0] : ! [v1] : ( ~ existent(v0, v1) | ~ nonexistent(v0, v1))
% 4.98/1.81 | (62) ! [v0] : ! [v1] : ( ~ furniture(v0, v1) | instrumentality(v0, v1))
% 4.98/1.81 | (63) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1))
% 4.98/1.81 | (64) ! [v0] : ! [v1] : ~ member(v0, v1, v1)
% 4.98/1.81 | (65) ! [v0] : ( ~ member(all_0_5_5, v0, all_0_0_0) | fellow(all_0_5_5, v0))
% 4.98/1.81 | (66) ! [v0] : ! [v1] : ( ~ transport(v0, v1) | instrumentality(v0, v1))
% 4.98/1.81 | (67) ! [v0] : ! [v1] : ( ~ man(v0, v1) | male(v0, v1))
% 4.98/1.81 | (68) event(all_0_5_5, all_0_1_1)
% 4.98/1.81 | (69) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1))
% 4.98/1.81 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ be(v0, v1, v2, v3))
% 4.98/1.81 | (71) ! [v0] : ! [v1] : ( ~ instrumentality(v0, v1) | artifact(v0, v1))
% 4.98/1.81 | (72) ! [v0] : ! [v1] : ( ~ object(v0, v1) | entity(v0, v1))
% 4.98/1.81 | (73) ! [v0] : ! [v1] : ( ~ way(v0, v1) | artifact(v0, v1))
% 4.98/1.81 | (74) dirty(all_0_5_5, all_0_3_3)
% 4.98/1.81 | (75) ! [v0] : ! [v1] : ( ~ human(v0, v1) | ~ nonhuman(v0, v1))
% 4.98/1.81 | (76) ! [v0] : ! [v1] : ( ~ organism(v0, v1) | living(v0, v1))
% 4.98/1.81 | (77) ! [v0] : ! [v1] : ( ~ animate(v0, v1) | ~ nonliving(v0, v1))
% 4.98/1.81 | (78) ! [v0] : ! [v1] : ( ~ artifact(v0, v1) | object(v0, v1))
% 4.98/1.81 | (79) ! [v0] : ! [v1] : ( ~ object(v0, v1) | unisex(v0, v1))
% 4.98/1.81 | (80) ! [v0] : ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1))
% 4.98/1.81 | (81) ! [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))))
% 4.98/1.81 | (82) ! [v0] : ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1))
% 4.98/1.81 | (83) ! [v0] : ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1))
% 4.98/1.81 | (84) group(all_0_5_5, all_0_0_0)
% 4.98/1.81 | (85) ! [v0] : ! [v1] : ( ~ frontseat(v0, v1) | seat(v0, v1))
% 4.98/1.81 |
% 4.98/1.81 | Instantiating formula (81) with all_0_0_0, all_0_5_5 and discharging atoms two(all_0_5_5, all_0_0_0), yields:
% 4.98/1.81 | (86) ? [v0] : ? [v1] : ( ~ (v1 = v0) & member(all_0_5_5, v1, all_0_0_0) & member(all_0_5_5, v0, all_0_0_0) & ! [v2] : (v2 = v1 | v2 = v0 | ~ member(all_0_5_5, v2, all_0_0_0)))
% 4.98/1.81 |
% 4.98/1.81 | Instantiating (86) with all_9_0_6, all_9_1_7 yields:
% 4.98/1.81 | (87) ~ (all_9_0_6 = all_9_1_7) & member(all_0_5_5, all_9_0_6, all_0_0_0) & member(all_0_5_5, all_9_1_7, all_0_0_0) & ! [v0] : (v0 = all_9_0_6 | v0 = all_9_1_7 | ~ member(all_0_5_5, v0, all_0_0_0))
% 4.98/1.81 |
% 4.98/1.81 | Applying alpha-rule on (87) yields:
% 4.98/1.81 | (88) ~ (all_9_0_6 = all_9_1_7)
% 4.98/1.81 | (89) member(all_0_5_5, all_9_0_6, all_0_0_0)
% 4.98/1.81 | (90) member(all_0_5_5, all_9_1_7, all_0_0_0)
% 4.98/1.81 | (91) ! [v0] : (v0 = all_9_0_6 | v0 = all_9_1_7 | ~ member(all_0_5_5, v0, all_0_0_0))
% 4.98/1.82 |
% 4.98/1.82 | Instantiating formula (65) with all_9_1_7 and discharging atoms member(all_0_5_5, all_9_1_7, all_0_0_0), yields:
% 4.98/1.82 | (92) fellow(all_0_5_5, all_9_1_7)
% 4.98/1.82 |
% 4.98/1.82 | Instantiating formula (18) with all_9_1_7 and discharging atoms member(all_0_5_5, all_9_1_7, all_0_0_0), yields:
% 4.98/1.82 | (93) ? [v0] : ? [v1] : (in(all_0_5_5, v1, v1) & be(all_0_5_5, v0, all_9_1_7, v1) & state(all_0_5_5, v0) & frontseat(all_0_5_5, v1))
% 4.98/1.82 |
% 4.98/1.82 | Instantiating (93) with all_18_0_8, all_18_1_9 yields:
% 4.98/1.82 | (94) in(all_0_5_5, all_18_0_8, all_18_0_8) & be(all_0_5_5, all_18_1_9, all_9_1_7, all_18_0_8) & state(all_0_5_5, all_18_1_9) & frontseat(all_0_5_5, all_18_0_8)
% 4.98/1.82 |
% 4.98/1.82 | Applying alpha-rule on (94) yields:
% 4.98/1.82 | (95) in(all_0_5_5, all_18_0_8, all_18_0_8)
% 4.98/1.82 | (96) be(all_0_5_5, all_18_1_9, all_9_1_7, all_18_0_8)
% 4.98/1.82 | (97) state(all_0_5_5, all_18_1_9)
% 4.98/1.82 | (98) frontseat(all_0_5_5, all_18_0_8)
% 4.98/1.82 |
% 4.98/1.82 | Instantiating formula (70) with all_18_0_8, all_9_1_7, all_18_1_9, all_0_5_5 and discharging atoms be(all_0_5_5, all_18_1_9, all_9_1_7, all_18_0_8), yields:
% 4.98/1.82 | (99) all_18_0_8 = all_9_1_7
% 4.98/1.82 |
% 4.98/1.82 | From (99) and (98) follows:
% 4.98/1.82 | (100) frontseat(all_0_5_5, all_9_1_7)
% 4.98/1.82 |
% 4.98/1.82 | Instantiating formula (25) with all_9_1_7, all_0_5_5 and discharging atoms fellow(all_0_5_5, all_9_1_7), yields:
% 4.98/1.82 | (101) man(all_0_5_5, all_9_1_7)
% 4.98/1.82 |
% 4.98/1.82 | Instantiating formula (85) with all_9_1_7, all_0_5_5 and discharging atoms frontseat(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (102) seat(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (67) with all_9_1_7, all_0_5_5 and discharging atoms man(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (103) male(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (40) with all_9_1_7, all_0_5_5 and discharging atoms seat(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (104) furniture(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (62) with all_9_1_7, all_0_5_5 and discharging atoms furniture(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (105) instrumentality(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (71) with all_9_1_7, all_0_5_5 and discharging atoms instrumentality(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (106) artifact(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (78) with all_9_1_7, all_0_5_5 and discharging atoms artifact(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (107) object(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (79) with all_9_1_7, all_0_5_5 and discharging atoms object(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (108) unisex(all_0_5_5, all_9_1_7)
% 5.25/1.82 |
% 5.25/1.82 | Instantiating formula (8) with all_9_1_7, all_0_5_5 and discharging atoms male(all_0_5_5, all_9_1_7), unisex(all_0_5_5, all_9_1_7), yields:
% 5.25/1.82 | (109) $false
% 5.25/1.82 |
% 5.25/1.82 |-The branch is then unsatisfiable
% 5.25/1.82 % SZS output end Proof for theBenchmark
% 5.25/1.82
% 5.25/1.82 1238ms
%------------------------------------------------------------------------------