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ePrincess---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : NLP204+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n010.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 01:56:54 EDT 2022

% Result   : Theorem 3.65s 1.55s
% Output   : Proof 5.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP204+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.33  % Computer : n010.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 08:26:48 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.55/0.59          ____       _                          
% 0.55/0.59    ___  / __ \_____(_)___  ________  __________
% 0.55/0.59   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.59  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.55/0.59  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.55/0.59  
% 0.55/0.59  A Theorem Prover for First-Order Logic
% 0.55/0.59  (ePrincess v.1.0)
% 0.55/0.59  
% 0.55/0.59  (c) Philipp Rümmer, 2009-2015
% 0.55/0.59  (c) Peter Backeman, 2014-2015
% 0.55/0.59  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.59  Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.59  Bug reports to peter@backeman.se
% 0.55/0.59  
% 0.55/0.59  For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.59  
% 0.55/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.97/1.05  Prover 0: Preprocessing ...
% 2.60/1.30  Prover 0: Constructing countermodel ...
% 3.65/1.54  Prover 0: proved (907ms)
% 3.65/1.55  
% 3.65/1.55  No countermodel exists, formula is valid
% 3.65/1.55  % SZS status Theorem for theBenchmark
% 3.65/1.55  
% 3.65/1.55  Generating proof ... found it (size 12)
% 4.96/1.87  
% 4.96/1.87  % SZS output start Proof for theBenchmark
% 4.96/1.87  Assumed formulas after preprocessing and simplification: 
% 4.96/1.87  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (behind(v0, v11, v11) & in(v0, v7, v6) & down(v0, v7, v6) & present(v0, v7) & lonely(v0, v6) & dirty(v0, v4) & actual_world(v0) & be(v0, v10, v1, v11) & agent(v0, v7, v4) & of(v0, v5, v6) & of(v0, v2, v1) & old(v0, v4) & white(v0, v4) & state(v0, v10) & wheel(v0, v11) & man(v0, v1) & group(v0, v9) & group(v0, v8) & two(v0, v8) & event(v0, v7) & barrel(v0, v7) & street(v0, v6) & chevy(v0, v4) & placename(v0, v5) & hollywood_placename(v0, v5) & city(v0, v6) & frontseat(v0, v3) & forename(v0, v2) & jules_forename(v0, v2) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v14 |  ~ be(v12, v13, v14, v15)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v14 |  ~ member(v12, v15, v13) |  ~ member(v12, v14, v13) | two(v12, v13) |  ? [v16] : ( ~ (v16 = v15) &  ~ (v16 = v14) & member(v12, v16, v13))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v14 |  ~ of(v12, v15, v13) |  ~ of(v12, v14, v13) |  ~ entity(v12, v13) |  ~ placename(v12, v15) |  ~ placename(v12, v14)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v14 |  ~ of(v12, v15, v13) |  ~ of(v12, v14, v13) |  ~ entity(v12, v13) |  ~ forename(v12, v15) |  ~ forename(v12, v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ patient(v12, v13, v14) |  ~ agent(v12, v13, v14) |  ~ nonreflexive(v12, v13)) &  ! [v12] :  ! [v13] :  ~ member(v12, v13, v13) &  ! [v12] :  ! [v13] : ( ~ member(v0, v13, v8) |  ~ member(v0, v12, v9) |  ? [v14] : (present(v0, v14) & patient(v0, v14, v12) & agent(v0, v14, v13) & nonreflexive(v0, v14) & wear(v0, v14) & event(v0, v14))) &  ! [v12] :  ! [v13] : ( ~ old(v12, v13) |  ~ young(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ black(v12, v13) |  ~ white(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ singleton(v12, v13) |  ~ multiple(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ nonexistent(v12, v13) |  ~ existent(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ state(v12, v13) | eventuality(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ state(v12, v13) | event(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ eventuality(v12, v13) | nonexistent(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ eventuality(v12, v13) | specific(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ eventuality(v12, v13) | thing(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ eventuality(v12, v13) | unisex(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ wheel(v12, v13) | device(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ device(v12, v13) | instrumentality(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ specific(v12, v13) |  ~ general(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ nonliving(v12, v13) |  ~ living(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ nonliving(v12, v13) |  ~ animate(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ coat(v12, v13) | clothes(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ clothes(v12, v13) | artifact(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ set(v12, v13) | multiple(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ wear(v12, v13) | event(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ fellow(v12, v13) | man(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ entity(v12, v13) | specific(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ entity(v12, v13) | existent(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ entity(v12, v13) | thing(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ organism(v12, v13) | entity(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ organism(v12, v13) | impartial(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ organism(v12, v13) | living(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ human(v12, v13) |  ~ nonhuman(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ human_person(v12, v13) | organism(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ human_person(v12, v13) | human(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ human_person(v12, v13) | animate(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ male(v12, v13) |  ~ unisex(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ man(v12, v13) | human_person(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ man(v12, v13) | male(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ group(v12, v13) | set(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ two(v12, v13) | group(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ two(v12, v13) |  ? [v14] :  ? [v15] : ( ~ (v15 = v14) & member(v12, v15, v13) & member(v12, v14, v13) &  ! [v16] : (v16 = v15 | v16 = v14 |  ~ member(v12, v16, v13)))) &  ! [v12] :  ! [v13] : ( ~ event(v12, v13) | eventuality(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ barrel(v12, v13) | event(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ street(v12, v13) | way(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ artifact(v12, v13) | object(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ way(v12, v13) | artifact(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ chevy(v12, v13) | car(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ car(v12, v13) | vehicle(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ vehicle(v12, v13) | transport(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ transport(v12, v13) | instrumentality(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ relation(v12, v13) | abstraction(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ thing(v12, v13) | singleton(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ abstraction(v12, v13) | thing(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ abstraction(v12, v13) | nonhuman(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ abstraction(v12, v13) | general(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ abstraction(v12, v13) | unisex(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ placename(v12, v13) | relname(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ hollywood_placename(v12, v13) | placename(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ city(v12, v13) | location(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ object(v12, v13) | nonliving(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ object(v12, v13) | entity(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ object(v12, v13) | impartial(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ object(v12, v13) | unisex(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ location(v12, v13) | object(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ frontseat(v12, v13) | seat(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ seat(v12, v13) | furniture(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ instrumentality(v12, v13) | artifact(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ furniture(v12, v13) | instrumentality(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ relname(v12, v13) | relation(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ forename(v12, v13) | relname(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ jules_forename(v12, v13) | forename(v12, v13)) &  ! [v12] : ( ~ member(v0, v12, v9) | cheap(v0, v12)) &  ! [v12] : ( ~ member(v0, v12, v9) | black(v0, v12)) &  ! [v12] : ( ~ member(v0, v12, v9) | coat(v0, v12)) &  ! [v12] : ( ~ member(v0, v12, v8) | young(v0, v12)) &  ! [v12] : ( ~ member(v0, v12, v8) | fellow(v0, v12)) &  ! [v12] : ( ~ member(v0, v12, v8) |  ? [v13] :  ? [v14] : (in(v0, v14, v3) & be(v0, v13, v12, v14) & state(v0, v13))))
% 4.96/1.90  | 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, all_0_11_11 yields:
% 4.96/1.90  | (1) behind(all_0_11_11, all_0_0_0, all_0_0_0) & in(all_0_11_11, all_0_4_4, all_0_5_5) & down(all_0_11_11, all_0_4_4, all_0_5_5) & present(all_0_11_11, all_0_4_4) & lonely(all_0_11_11, all_0_5_5) & dirty(all_0_11_11, all_0_7_7) & actual_world(all_0_11_11) & be(all_0_11_11, all_0_1_1, all_0_10_10, all_0_0_0) & agent(all_0_11_11, all_0_4_4, all_0_7_7) & of(all_0_11_11, all_0_6_6, all_0_5_5) & of(all_0_11_11, all_0_9_9, all_0_10_10) & old(all_0_11_11, all_0_7_7) & white(all_0_11_11, all_0_7_7) & state(all_0_11_11, all_0_1_1) & wheel(all_0_11_11, all_0_0_0) & man(all_0_11_11, all_0_10_10) & group(all_0_11_11, all_0_2_2) & group(all_0_11_11, all_0_3_3) & two(all_0_11_11, all_0_3_3) & event(all_0_11_11, all_0_4_4) & barrel(all_0_11_11, all_0_4_4) & street(all_0_11_11, all_0_5_5) & chevy(all_0_11_11, all_0_7_7) & placename(all_0_11_11, all_0_6_6) & hollywood_placename(all_0_11_11, all_0_6_6) & city(all_0_11_11, all_0_5_5) & frontseat(all_0_11_11, all_0_8_8) & forename(all_0_11_11, all_0_9_9) & jules_forename(all_0_11_11, all_0_9_9) &  ! [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_11_11, v1, all_0_3_3) |  ~ member(all_0_11_11, v0, all_0_2_2) |  ? [v2] : (present(all_0_11_11, v2) & patient(all_0_11_11, v2, v0) & agent(all_0_11_11, v2, v1) & nonreflexive(all_0_11_11, v2) & wear(all_0_11_11, v2) & event(all_0_11_11, 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_11_11, v0, all_0_2_2) | cheap(all_0_11_11, v0)) &  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_2_2) | black(all_0_11_11, v0)) &  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_2_2) | coat(all_0_11_11, v0)) &  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) | young(all_0_11_11, v0)) &  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) | fellow(all_0_11_11, v0)) &  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) |  ? [v1] :  ? [v2] : (in(all_0_11_11, v2, all_0_8_8) & be(all_0_11_11, v1, v0, v2) & state(all_0_11_11, v1)))
% 5.36/1.91  |
% 5.36/1.91  | Applying alpha-rule on (1) yields:
% 5.36/1.91  | (2)  ! [v0] :  ! [v1] : ( ~ specific(v0, v1) |  ~ general(v0, v1))
% 5.36/1.91  | (3)  ! [v0] :  ! [v1] : ( ~ entity(v0, v1) | existent(v0, v1))
% 5.36/1.91  | (4) lonely(all_0_11_11, all_0_5_5)
% 5.36/1.91  | (5)  ! [v0] :  ! [v1] : ( ~ clothes(v0, v1) | artifact(v0, v1))
% 5.36/1.91  | (6) actual_world(all_0_11_11)
% 5.36/1.91  | (7) down(all_0_11_11, all_0_4_4, all_0_5_5)
% 5.36/1.91  | (8) barrel(all_0_11_11, all_0_4_4)
% 5.36/1.91  | (9)  ! [v0] :  ! [v1] : ( ~ location(v0, v1) | object(v0, v1))
% 5.36/1.91  | (10)  ! [v0] :  ! [v1] : ( ~ furniture(v0, v1) | instrumentality(v0, v1))
% 5.36/1.91  | (11)  ! [v0] :  ! [v1] : ( ~ artifact(v0, v1) | object(v0, v1))
% 5.36/1.91  | (12)  ! [v0] :  ! [v1] : ( ~ eventuality(v0, v1) | unisex(v0, v1))
% 5.36/1.91  | (13)  ! [v0] :  ! [v1] : ( ~ relation(v0, v1) | abstraction(v0, v1))
% 5.36/1.91  | (14)  ! [v0] :  ! [v1] : ( ~ two(v0, v1) | group(v0, v1))
% 5.36/1.91  | (15) hollywood_placename(all_0_11_11, all_0_6_6)
% 5.36/1.91  | (16)  ! [v0] :  ! [v1] : ( ~ man(v0, v1) | human_person(v0, v1))
% 5.36/1.91  | (17) event(all_0_11_11, all_0_4_4)
% 5.36/1.91  | (18)  ! [v0] :  ! [v1] : ( ~ male(v0, v1) |  ~ unisex(v0, v1))
% 5.36/1.91  | (19)  ! [v0] :  ! [v1] : ( ~ eventuality(v0, v1) | thing(v0, v1))
% 5.36/1.91  | (20)  ! [v0] :  ! [v1] : ( ~ device(v0, v1) | instrumentality(v0, v1))
% 5.36/1.91  | (21)  ! [v0] :  ! [v1] : ( ~ coat(v0, v1) | clothes(v0, v1))
% 5.36/1.91  | (22) wheel(all_0_11_11, all_0_0_0)
% 5.36/1.92  | (23)  ! [v0] :  ! [v1] : ( ~ wheel(v0, v1) | device(v0, v1))
% 5.36/1.92  | (24)  ! [v0] :  ! [v1] : ( ~ thing(v0, v1) | singleton(v0, v1))
% 5.36/1.92  | (25)  ! [v0] :  ! [v1] : ( ~ human_person(v0, v1) | human(v0, v1))
% 5.36/1.92  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ of(v0, v3, v1) |  ~ of(v0, v2, v1) |  ~ entity(v0, v1) |  ~ forename(v0, v3) |  ~ forename(v0, v2))
% 5.36/1.92  | (27)  ! [v0] :  ! [v1] : ( ~ member(all_0_11_11, v1, all_0_3_3) |  ~ member(all_0_11_11, v0, all_0_2_2) |  ? [v2] : (present(all_0_11_11, v2) & patient(all_0_11_11, v2, v0) & agent(all_0_11_11, v2, v1) & nonreflexive(all_0_11_11, v2) & wear(all_0_11_11, v2) & event(all_0_11_11, v2)))
% 5.36/1.92  | (28)  ! [v0] :  ! [v1] : ( ~ transport(v0, v1) | instrumentality(v0, v1))
% 5.36/1.92  | (29)  ! [v0] :  ! [v1] : ( ~ abstraction(v0, v1) | general(v0, v1))
% 5.36/1.92  | (30)  ! [v0] :  ! [v1] : ( ~ abstraction(v0, v1) | nonhuman(v0, v1))
% 5.36/1.92  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ be(v0, v1, v2, v3))
% 5.36/1.92  | (32) in(all_0_11_11, all_0_4_4, all_0_5_5)
% 5.36/1.92  | (33)  ! [v0] :  ! [v1] : ( ~ organism(v0, v1) | entity(v0, v1))
% 5.36/1.92  | (34) man(all_0_11_11, all_0_10_10)
% 5.36/1.92  | (35)  ! [v0] :  ! [v1] : ( ~ nonexistent(v0, v1) |  ~ existent(v0, v1))
% 5.36/1.92  | (36)  ! [v0] :  ! [v1] : ( ~ black(v0, v1) |  ~ white(v0, v1))
% 5.36/1.92  | (37)  ! [v0] :  ! [v1] : ( ~ car(v0, v1) | vehicle(v0, v1))
% 5.36/1.92  | (38)  ! [v0] :  ! [v1] : ( ~ eventuality(v0, v1) | nonexistent(v0, v1))
% 5.36/1.92  | (39) of(all_0_11_11, all_0_6_6, all_0_5_5)
% 5.36/1.92  | (40) two(all_0_11_11, all_0_3_3)
% 5.36/1.92  | (41)  ! [v0] :  ! [v1] : ( ~ seat(v0, v1) | furniture(v0, v1))
% 5.36/1.92  | (42) forename(all_0_11_11, all_0_9_9)
% 5.36/1.92  | (43)  ! [v0] :  ! [v1] : ( ~ state(v0, v1) | event(v0, v1))
% 5.36/1.92  | (44)  ! [v0] :  ! [v1] : ( ~ street(v0, v1) | way(v0, v1))
% 5.36/1.92  | (45)  ! [v0] :  ! [v1] : ( ~ nonliving(v0, v1) |  ~ living(v0, v1))
% 5.36/1.92  | (46) state(all_0_11_11, all_0_1_1)
% 5.36/1.92  | (47)  ! [v0] :  ! [v1] : ( ~ man(v0, v1) | male(v0, v1))
% 5.36/1.92  | (48)  ! [v0] :  ! [v1] : ( ~ old(v0, v1) |  ~ young(v0, v1))
% 5.36/1.92  | (49)  ! [v0] :  ! [v1] : ( ~ singleton(v0, v1) |  ~ multiple(v0, v1))
% 5.36/1.92  | (50) white(all_0_11_11, all_0_7_7)
% 5.36/1.92  | (51)  ! [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)))
% 5.36/1.92  | (52) old(all_0_11_11, all_0_7_7)
% 5.36/1.92  | (53) behind(all_0_11_11, all_0_0_0, all_0_0_0)
% 5.36/1.92  | (54)  ! [v0] :  ! [v1] : ( ~ object(v0, v1) | nonliving(v0, v1))
% 5.36/1.92  | (55)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ patient(v0, v1, v2) |  ~ agent(v0, v1, v2) |  ~ nonreflexive(v0, v1))
% 5.36/1.92  | (56)  ! [v0] :  ! [v1] : ( ~ hollywood_placename(v0, v1) | placename(v0, v1))
% 5.36/1.92  | (57)  ! [v0] :  ! [v1] : ( ~ object(v0, v1) | unisex(v0, v1))
% 5.36/1.92  | (58) city(all_0_11_11, all_0_5_5)
% 5.36/1.92  | (59) frontseat(all_0_11_11, all_0_8_8)
% 5.36/1.92  | (60) dirty(all_0_11_11, all_0_7_7)
% 5.36/1.92  | (61)  ! [v0] :  ! [v1] : ( ~ relname(v0, v1) | relation(v0, v1))
% 5.36/1.92  | (62)  ! [v0] :  ! [v1] : ( ~ object(v0, v1) | impartial(v0, v1))
% 5.36/1.92  | (63)  ! [v0] :  ! [v1] : ( ~ human(v0, v1) |  ~ nonhuman(v0, v1))
% 5.36/1.92  | (64)  ! [v0] :  ! [v1] : ( ~ vehicle(v0, v1) | transport(v0, v1))
% 5.36/1.92  | (65)  ! [v0] :  ! [v1] : ( ~ event(v0, v1) | eventuality(v0, v1))
% 5.36/1.92  | (66) placename(all_0_11_11, all_0_6_6)
% 5.36/1.92  | (67)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) | young(all_0_11_11, v0))
% 5.36/1.93  | (68) present(all_0_11_11, all_0_4_4)
% 5.36/1.93  | (69)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) | fellow(all_0_11_11, v0))
% 5.36/1.93  | (70)  ! [v0] :  ! [v1] : ( ~ abstraction(v0, v1) | unisex(v0, v1))
% 5.36/1.93  | (71)  ! [v0] :  ! [v1] : ( ~ city(v0, v1) | location(v0, v1))
% 5.36/1.93  | (72)  ! [v0] :  ! [v1] : ( ~ object(v0, v1) | entity(v0, v1))
% 5.36/1.93  | (73)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_2_2) | cheap(all_0_11_11, v0))
% 5.36/1.93  | (74)  ! [v0] :  ! [v1] : ( ~ instrumentality(v0, v1) | artifact(v0, v1))
% 5.36/1.93  | (75)  ! [v0] :  ! [v1] : ( ~ frontseat(v0, v1) | seat(v0, v1))
% 5.36/1.93  | (76)  ! [v0] :  ! [v1] : ( ~ fellow(v0, v1) | man(v0, v1))
% 5.36/1.93  | (77) group(all_0_11_11, all_0_2_2)
% 5.36/1.93  | (78)  ! [v0] :  ! [v1] : ( ~ human_person(v0, v1) | organism(v0, v1))
% 5.36/1.93  | (79) of(all_0_11_11, all_0_9_9, all_0_10_10)
% 5.36/1.93  | (80)  ! [v0] :  ! [v1] : ( ~ state(v0, v1) | eventuality(v0, v1))
% 5.36/1.93  | (81) chevy(all_0_11_11, all_0_7_7)
% 5.36/1.93  | (82) agent(all_0_11_11, all_0_4_4, all_0_7_7)
% 5.36/1.93  | (83)  ! [v0] :  ! [v1] : ( ~ chevy(v0, v1) | car(v0, v1))
% 5.36/1.93  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ of(v0, v3, v1) |  ~ of(v0, v2, v1) |  ~ entity(v0, v1) |  ~ placename(v0, v3) |  ~ placename(v0, v2))
% 5.36/1.93  | (85)  ! [v0] :  ! [v1] : ( ~ barrel(v0, v1) | event(v0, v1))
% 5.36/1.93  | (86)  ! [v0] :  ! [v1] : ( ~ entity(v0, v1) | thing(v0, v1))
% 5.36/1.93  | (87) be(all_0_11_11, all_0_1_1, all_0_10_10, all_0_0_0)
% 5.36/1.93  | (88)  ! [v0] :  ! [v1] : ( ~ jules_forename(v0, v1) | forename(v0, v1))
% 5.36/1.93  | (89)  ! [v0] :  ! [v1] : ( ~ wear(v0, v1) | event(v0, v1))
% 5.36/1.93  | (90)  ! [v0] :  ! [v1] : ( ~ abstraction(v0, v1) | thing(v0, v1))
% 5.36/1.93  | (91)  ! [v0] :  ! [v1] :  ~ member(v0, v1, v1)
% 5.36/1.93  | (92) street(all_0_11_11, all_0_5_5)
% 5.36/1.93  | (93)  ! [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))))
% 5.36/1.93  | (94) jules_forename(all_0_11_11, all_0_9_9)
% 5.36/1.93  | (95)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_2_2) | coat(all_0_11_11, v0))
% 5.36/1.93  | (96)  ! [v0] :  ! [v1] : ( ~ human_person(v0, v1) | animate(v0, v1))
% 5.36/1.93  | (97)  ! [v0] :  ! [v1] : ( ~ nonliving(v0, v1) |  ~ animate(v0, v1))
% 5.36/1.93  | (98)  ! [v0] :  ! [v1] : ( ~ placename(v0, v1) | relname(v0, v1))
% 5.36/1.93  | (99)  ! [v0] :  ! [v1] : ( ~ organism(v0, v1) | impartial(v0, v1))
% 5.36/1.93  | (100) group(all_0_11_11, all_0_3_3)
% 5.36/1.93  | (101)  ! [v0] :  ! [v1] : ( ~ organism(v0, v1) | living(v0, v1))
% 5.36/1.93  | (102)  ! [v0] :  ! [v1] : ( ~ way(v0, v1) | artifact(v0, v1))
% 5.36/1.93  | (103)  ! [v0] :  ! [v1] : ( ~ entity(v0, v1) | specific(v0, v1))
% 5.36/1.93  | (104)  ! [v0] :  ! [v1] : ( ~ set(v0, v1) | multiple(v0, v1))
% 5.36/1.93  | (105)  ! [v0] :  ! [v1] : ( ~ eventuality(v0, v1) | specific(v0, v1))
% 5.36/1.93  | (106)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_3_3) |  ? [v1] :  ? [v2] : (in(all_0_11_11, v2, all_0_8_8) & be(all_0_11_11, v1, v0, v2) & state(all_0_11_11, v1)))
% 5.36/1.94  | (107)  ! [v0] : ( ~ member(all_0_11_11, v0, all_0_2_2) | black(all_0_11_11, v0))
% 5.36/1.94  | (108)  ! [v0] :  ! [v1] : ( ~ forename(v0, v1) | relname(v0, v1))
% 5.36/1.94  | (109)  ! [v0] :  ! [v1] : ( ~ group(v0, v1) | set(v0, v1))
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (31) with all_0_0_0, all_0_10_10, all_0_1_1, all_0_11_11 and discharging atoms be(all_0_11_11, all_0_1_1, all_0_10_10, all_0_0_0), yields:
% 5.36/1.94  | (110) all_0_0_0 = all_0_10_10
% 5.36/1.94  |
% 5.36/1.94  | From (110) and (22) follows:
% 5.36/1.94  | (111) wheel(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (23) with all_0_10_10, all_0_11_11 and discharging atoms wheel(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (112) device(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (47) with all_0_10_10, all_0_11_11 and discharging atoms man(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (113) male(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (20) with all_0_10_10, all_0_11_11 and discharging atoms device(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (114) instrumentality(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (74) with all_0_10_10, all_0_11_11 and discharging atoms instrumentality(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (115) artifact(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (11) with all_0_10_10, all_0_11_11 and discharging atoms artifact(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (116) object(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (57) with all_0_10_10, all_0_11_11 and discharging atoms object(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (117) unisex(all_0_11_11, all_0_10_10)
% 5.36/1.94  |
% 5.36/1.94  | Instantiating formula (18) with all_0_10_10, all_0_11_11 and discharging atoms male(all_0_11_11, all_0_10_10), unisex(all_0_11_11, all_0_10_10), yields:
% 5.36/1.94  | (118) $false
% 5.36/1.94  |
% 5.36/1.94  |-The branch is then unsatisfiable
% 5.36/1.94  % SZS output end Proof for theBenchmark
% 5.36/1.94  
% 5.36/1.94  1343ms
%------------------------------------------------------------------------------