TSTP Solution File: NLP117+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 01:56:04 EDT 2022
% Result : Theorem 2.25s 1.16s
% Output : Proof 3.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 1 09:44:22 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.59/0.58 ____ _
% 0.59/0.58 ___ / __ \_____(_)___ ________ __________
% 0.59/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.58
% 0.59/0.58 A Theorem Prover for First-Order Logic
% 0.59/0.59 (ePrincess v.1.0)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2015
% 0.59/0.59 (c) Peter Backeman, 2014-2015
% 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.59 Bug reports to peter@backeman.se
% 0.59/0.59
% 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.54/0.94 Prover 0: Preprocessing ...
% 1.76/1.06 Prover 0: Constructing countermodel ...
% 1.91/1.16 Prover 0: proved (522ms)
% 2.25/1.16
% 2.25/1.16 No countermodel exists, formula is valid
% 2.25/1.16 % SZS status Theorem for theBenchmark
% 2.25/1.16
% 2.25/1.16 Generating proof ... found it (size 8)
% 2.83/1.34
% 2.83/1.34 % SZS output start Proof for theBenchmark
% 2.83/1.34 Assumed formulas after preprocessing and simplification:
% 2.83/1.34 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((in(v0, v5, v1) & down(v0, v5, v4) & barrel(v0, v5) & present(v0, v5) & agent(v0, v5, v3) & event(v0, v5) & lonely(v0, v4) & street(v0, v4) & old(v0, v3) & dirty(v0, v3) & white(v0, v3) & chevy(v0, v3) & placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v1) & of(v0, v2, v1) & actual_world(v0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ in(v6, v11, v7) | ~ down(v6, v11, v9) | ~ barrel(v6, v11) | ~ present(v6, v11) | ~ agent(v6, v11, v10) | ~ event(v6, v11) | ~ lonely(v6, v9) | ~ street(v6, v9) | ~ old(v6, v10) | ~ dirty(v6, v10) | ~ white(v6, v10) | ~ chevy(v6, v10) | ~ placename(v6, v8) | ~ hollywood_placename(v6, v8) | ~ city(v6, v7) | ~ of(v6, v8, v7) | ~ actual_world(v6))) | (in(v0, v5, v1) & down(v0, v5, v3) & barrel(v0, v5) & present(v0, v5) & agent(v0, v5, v4) & event(v0, v5) & lonely(v0, v3) & street(v0, v3) & old(v0, v4) & dirty(v0, v4) & white(v0, v4) & chevy(v0, v4) & placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v1) & of(v0, v2, v1) & actual_world(v0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ in(v6, v11, v7) | ~ down(v6, v11, v10) | ~ barrel(v6, v11) | ~ present(v6, v11) | ~ agent(v6, v11, v9) | ~ event(v6, v11) | ~ lonely(v6, v10) | ~ street(v6, v10) | ~ old(v6, v9) | ~ dirty(v6, v9) | ~ white(v6, v9) | ~ chevy(v6, v9) | ~ placename(v6, v8) | ~ hollywood_placename(v6, v8) | ~ city(v6, v7) | ~ of(v6, v8, v7) | ~ actual_world(v6))))
% 2.83/1.35 | 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:
% 2.83/1.35 | (1) (in(all_0_5_5, all_0_0_0, all_0_4_4) & down(all_0_5_5, all_0_0_0, all_0_1_1) & barrel(all_0_5_5, all_0_0_0) & present(all_0_5_5, all_0_0_0) & agent(all_0_5_5, all_0_0_0, all_0_2_2) & event(all_0_5_5, all_0_0_0) & lonely(all_0_5_5, all_0_1_1) & street(all_0_5_5, all_0_1_1) & old(all_0_5_5, all_0_2_2) & dirty(all_0_5_5, all_0_2_2) & white(all_0_5_5, all_0_2_2) & chevy(all_0_5_5, all_0_2_2) & placename(all_0_5_5, all_0_3_3) & hollywood_placename(all_0_5_5, all_0_3_3) & city(all_0_5_5, all_0_4_4) & of(all_0_5_5, all_0_3_3, all_0_4_4) & actual_world(all_0_5_5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v3) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v4) | ~ event(v0, v5) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v4) | ~ dirty(v0, v4) | ~ white(v0, v4) | ~ chevy(v0, v4) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0))) | (in(all_0_5_5, all_0_0_0, all_0_4_4) & down(all_0_5_5, all_0_0_0, all_0_2_2) & barrel(all_0_5_5, all_0_0_0) & present(all_0_5_5, all_0_0_0) & agent(all_0_5_5, all_0_0_0, all_0_1_1) & event(all_0_5_5, all_0_0_0) & lonely(all_0_5_5, all_0_2_2) & street(all_0_5_5, all_0_2_2) & old(all_0_5_5, all_0_1_1) & dirty(all_0_5_5, all_0_1_1) & white(all_0_5_5, all_0_1_1) & chevy(all_0_5_5, all_0_1_1) & placename(all_0_5_5, all_0_3_3) & hollywood_placename(all_0_5_5, all_0_3_3) & city(all_0_5_5, all_0_4_4) & of(all_0_5_5, all_0_3_3, all_0_4_4) & actual_world(all_0_5_5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v4) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v3) | ~ event(v0, v5) | ~ lonely(v0, v4) | ~ street(v0, v4) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0)))
% 2.83/1.36 |
% 2.83/1.36 +-Applying beta-rule and splitting (1), into two cases.
% 2.83/1.36 |-Branch one:
% 2.83/1.36 | (2) in(all_0_5_5, all_0_0_0, all_0_4_4) & down(all_0_5_5, all_0_0_0, all_0_1_1) & barrel(all_0_5_5, all_0_0_0) & present(all_0_5_5, all_0_0_0) & agent(all_0_5_5, all_0_0_0, all_0_2_2) & event(all_0_5_5, all_0_0_0) & lonely(all_0_5_5, all_0_1_1) & street(all_0_5_5, all_0_1_1) & old(all_0_5_5, all_0_2_2) & dirty(all_0_5_5, all_0_2_2) & white(all_0_5_5, all_0_2_2) & chevy(all_0_5_5, all_0_2_2) & placename(all_0_5_5, all_0_3_3) & hollywood_placename(all_0_5_5, all_0_3_3) & city(all_0_5_5, all_0_4_4) & of(all_0_5_5, all_0_3_3, all_0_4_4) & actual_world(all_0_5_5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v3) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v4) | ~ event(v0, v5) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v4) | ~ dirty(v0, v4) | ~ white(v0, v4) | ~ chevy(v0, v4) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0))
% 3.00/1.37 |
% 3.00/1.37 | Applying alpha-rule on (2) yields:
% 3.00/1.37 | (3) hollywood_placename(all_0_5_5, all_0_3_3)
% 3.00/1.37 | (4) of(all_0_5_5, all_0_3_3, all_0_4_4)
% 3.00/1.37 | (5) white(all_0_5_5, all_0_2_2)
% 3.00/1.37 | (6) event(all_0_5_5, all_0_0_0)
% 3.00/1.37 | (7) street(all_0_5_5, all_0_1_1)
% 3.00/1.37 | (8) chevy(all_0_5_5, all_0_2_2)
% 3.00/1.37 | (9) city(all_0_5_5, all_0_4_4)
% 3.00/1.37 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v3) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v4) | ~ event(v0, v5) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v4) | ~ dirty(v0, v4) | ~ white(v0, v4) | ~ chevy(v0, v4) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0))
% 3.00/1.37 | (11) dirty(all_0_5_5, all_0_2_2)
% 3.00/1.37 | (12) present(all_0_5_5, all_0_0_0)
% 3.00/1.37 | (13) lonely(all_0_5_5, all_0_1_1)
% 3.00/1.37 | (14) agent(all_0_5_5, all_0_0_0, all_0_2_2)
% 3.00/1.37 | (15) in(all_0_5_5, all_0_0_0, all_0_4_4)
% 3.00/1.37 | (16) placename(all_0_5_5, all_0_3_3)
% 3.00/1.37 | (17) actual_world(all_0_5_5)
% 3.00/1.37 | (18) old(all_0_5_5, all_0_2_2)
% 3.00/1.37 | (19) barrel(all_0_5_5, all_0_0_0)
% 3.00/1.37 | (20) down(all_0_5_5, all_0_0_0, all_0_1_1)
% 3.00/1.37 |
% 3.00/1.37 | Instantiating formula (10) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms in(all_0_5_5, all_0_0_0, all_0_4_4), down(all_0_5_5, all_0_0_0, all_0_1_1), barrel(all_0_5_5, all_0_0_0), present(all_0_5_5, all_0_0_0), agent(all_0_5_5, all_0_0_0, all_0_2_2), event(all_0_5_5, all_0_0_0), lonely(all_0_5_5, all_0_1_1), street(all_0_5_5, all_0_1_1), old(all_0_5_5, all_0_2_2), dirty(all_0_5_5, all_0_2_2), white(all_0_5_5, all_0_2_2), chevy(all_0_5_5, all_0_2_2), placename(all_0_5_5, all_0_3_3), hollywood_placename(all_0_5_5, all_0_3_3), city(all_0_5_5, all_0_4_4), of(all_0_5_5, all_0_3_3, all_0_4_4), actual_world(all_0_5_5), yields:
% 3.00/1.37 | (21) $false
% 3.00/1.37 |
% 3.00/1.37 |-The branch is then unsatisfiable
% 3.00/1.37 |-Branch two:
% 3.00/1.37 | (22) in(all_0_5_5, all_0_0_0, all_0_4_4) & down(all_0_5_5, all_0_0_0, all_0_2_2) & barrel(all_0_5_5, all_0_0_0) & present(all_0_5_5, all_0_0_0) & agent(all_0_5_5, all_0_0_0, all_0_1_1) & event(all_0_5_5, all_0_0_0) & lonely(all_0_5_5, all_0_2_2) & street(all_0_5_5, all_0_2_2) & old(all_0_5_5, all_0_1_1) & dirty(all_0_5_5, all_0_1_1) & white(all_0_5_5, all_0_1_1) & chevy(all_0_5_5, all_0_1_1) & placename(all_0_5_5, all_0_3_3) & hollywood_placename(all_0_5_5, all_0_3_3) & city(all_0_5_5, all_0_4_4) & of(all_0_5_5, all_0_3_3, all_0_4_4) & actual_world(all_0_5_5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v4) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v3) | ~ event(v0, v5) | ~ lonely(v0, v4) | ~ street(v0, v4) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0))
% 3.00/1.38 |
% 3.00/1.38 | Applying alpha-rule on (22) yields:
% 3.00/1.38 | (3) hollywood_placename(all_0_5_5, all_0_3_3)
% 3.00/1.38 | (4) of(all_0_5_5, all_0_3_3, all_0_4_4)
% 3.00/1.38 | (25) down(all_0_5_5, all_0_0_0, all_0_2_2)
% 3.00/1.38 | (6) event(all_0_5_5, all_0_0_0)
% 3.00/1.38 | (9) city(all_0_5_5, all_0_4_4)
% 3.00/1.38 | (12) present(all_0_5_5, all_0_0_0)
% 3.00/1.38 | (15) in(all_0_5_5, all_0_0_0, all_0_4_4)
% 3.00/1.38 | (16) placename(all_0_5_5, all_0_3_3)
% 3.00/1.38 | (31) agent(all_0_5_5, all_0_0_0, all_0_1_1)
% 3.00/1.38 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ in(v0, v5, v1) | ~ down(v0, v5, v4) | ~ barrel(v0, v5) | ~ present(v0, v5) | ~ agent(v0, v5, v3) | ~ event(v0, v5) | ~ lonely(v0, v4) | ~ street(v0, v4) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v1) | ~ of(v0, v2, v1) | ~ actual_world(v0))
% 3.00/1.38 | (33) chevy(all_0_5_5, all_0_1_1)
% 3.00/1.38 | (34) lonely(all_0_5_5, all_0_2_2)
% 3.00/1.38 | (17) actual_world(all_0_5_5)
% 3.00/1.38 | (36) street(all_0_5_5, all_0_2_2)
% 3.00/1.38 | (37) white(all_0_5_5, all_0_1_1)
% 3.00/1.38 | (38) old(all_0_5_5, all_0_1_1)
% 3.00/1.38 | (19) barrel(all_0_5_5, all_0_0_0)
% 3.00/1.38 | (40) dirty(all_0_5_5, all_0_1_1)
% 3.00/1.38 |
% 3.00/1.38 | Instantiating formula (32) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms in(all_0_5_5, all_0_0_0, all_0_4_4), down(all_0_5_5, all_0_0_0, all_0_2_2), barrel(all_0_5_5, all_0_0_0), present(all_0_5_5, all_0_0_0), agent(all_0_5_5, all_0_0_0, all_0_1_1), event(all_0_5_5, all_0_0_0), lonely(all_0_5_5, all_0_2_2), street(all_0_5_5, all_0_2_2), old(all_0_5_5, all_0_1_1), dirty(all_0_5_5, all_0_1_1), white(all_0_5_5, all_0_1_1), chevy(all_0_5_5, all_0_1_1), placename(all_0_5_5, all_0_3_3), hollywood_placename(all_0_5_5, all_0_3_3), city(all_0_5_5, all_0_4_4), of(all_0_5_5, all_0_3_3, all_0_4_4), actual_world(all_0_5_5), yields:
% 3.00/1.38 | (21) $false
% 3.00/1.38 |
% 3.00/1.38 |-The branch is then unsatisfiable
% 3.00/1.39 % SZS output end Proof for theBenchmark
% 3.00/1.39
% 3.00/1.39 789ms
%------------------------------------------------------------------------------