TSTP Solution File: NLP122+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n013.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 01:56:07 EDT 2022
% Result : Theorem 1.98s 1.14s
% Output : Proof 2.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 1 04:47:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.57/0.57 ____ _
% 0.57/0.57 ___ / __ \_____(_)___ ________ __________
% 0.57/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.57
% 0.57/0.57 A Theorem Prover for First-Order Logic
% 0.57/0.57 (ePrincess v.1.0)
% 0.57/0.57
% 0.57/0.57 (c) Philipp Rümmer, 2009-2015
% 0.57/0.57 (c) Peter Backeman, 2014-2015
% 0.57/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.57 Bug reports to peter@backeman.se
% 0.57/0.57
% 0.57/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.57
% 0.57/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.57/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.46/0.92 Prover 0: Preprocessing ...
% 1.68/1.03 Prover 0: Constructing countermodel ...
% 1.98/1.13 Prover 0: proved (515ms)
% 1.98/1.14
% 1.98/1.14 No countermodel exists, formula is valid
% 1.98/1.14 % SZS status Theorem for theBenchmark
% 1.98/1.14
% 1.98/1.14 Generating proof ... found it (size 8)
% 2.65/1.31
% 2.65/1.31 % SZS output start Proof for theBenchmark
% 2.65/1.31 Assumed formulas after preprocessing and simplification:
% 2.65/1.31 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((in(v0, v4, v3) & down(v0, v4, v1) & barrel(v0, v4) & present(v0, v4) & agent(v0, v4, v3) & event(v0, v4) & lonely(v0, v1) & street(v0, v1) & old(v0, v3) & dirty(v0, v3) & white(v0, v3) & chevy(v0, v3) & placename(v0, v2) & hollywood_placename(v0, v2) & city(v0, v3) & of(v0, v2, v3) & actual_world(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ in(v5, v9, v7) | ~ down(v5, v9, v8) | ~ barrel(v5, v9) | ~ present(v5, v9) | ~ agent(v5, v9, v7) | ~ event(v5, v9) | ~ lonely(v5, v8) | ~ street(v5, v8) | ~ old(v5, v7) | ~ dirty(v5, v7) | ~ white(v5, v7) | ~ chevy(v5, v7) | ~ placename(v5, v6) | ~ hollywood_placename(v5, v6) | ~ city(v5, v7) | ~ of(v5, v6, v7) | ~ actual_world(v5))) | (in(v0, v4, v2) & down(v0, v4, v3) & barrel(v0, v4) & present(v0, v4) & agent(v0, v4, v2) & event(v0, v4) & lonely(v0, v3) & street(v0, v3) & old(v0, v2) & dirty(v0, v2) & white(v0, v2) & chevy(v0, v2) & placename(v0, v1) & hollywood_placename(v0, v1) & city(v0, v2) & of(v0, v1, v2) & actual_world(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ in(v5, v9, v8) | ~ down(v5, v9, v6) | ~ barrel(v5, v9) | ~ present(v5, v9) | ~ agent(v5, v9, v8) | ~ event(v5, v9) | ~ lonely(v5, v6) | ~ street(v5, v6) | ~ old(v5, v8) | ~ dirty(v5, v8) | ~ white(v5, v8) | ~ chevy(v5, v8) | ~ placename(v5, v7) | ~ hollywood_placename(v5, v7) | ~ city(v5, v8) | ~ of(v5, v7, v8) | ~ actual_world(v5))))
% 2.90/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.90/1.33 | (1) (in(all_0_4_4, all_0_0_0, all_0_1_1) & down(all_0_4_4, all_0_0_0, all_0_3_3) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_1_1) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_3_3) & street(all_0_4_4, all_0_3_3) & old(all_0_4_4, all_0_1_1) & dirty(all_0_4_4, all_0_1_1) & white(all_0_4_4, all_0_1_1) & chevy(all_0_4_4, all_0_1_1) & placename(all_0_4_4, all_0_2_2) & hollywood_placename(all_0_4_4, all_0_2_2) & city(all_0_4_4, all_0_1_1) & of(all_0_4_4, all_0_2_2, all_0_1_1) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0))) | (in(all_0_4_4, all_0_0_0, all_0_2_2) & down(all_0_4_4, all_0_0_0, all_0_1_1) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_2_2) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_1_1) & street(all_0_4_4, all_0_1_1) & old(all_0_4_4, all_0_2_2) & dirty(all_0_4_4, all_0_2_2) & white(all_0_4_4, all_0_2_2) & chevy(all_0_4_4, all_0_2_2) & placename(all_0_4_4, all_0_3_3) & hollywood_placename(all_0_4_4, all_0_3_3) & city(all_0_4_4, all_0_2_2) & of(all_0_4_4, all_0_3_3, all_0_2_2) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0)))
% 2.90/1.34 |
% 2.90/1.34 +-Applying beta-rule and splitting (1), into two cases.
% 2.90/1.34 |-Branch one:
% 2.90/1.34 | (2) in(all_0_4_4, all_0_0_0, all_0_1_1) & down(all_0_4_4, all_0_0_0, all_0_3_3) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_1_1) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_3_3) & street(all_0_4_4, all_0_3_3) & old(all_0_4_4, all_0_1_1) & dirty(all_0_4_4, all_0_1_1) & white(all_0_4_4, all_0_1_1) & chevy(all_0_4_4, all_0_1_1) & placename(all_0_4_4, all_0_2_2) & hollywood_placename(all_0_4_4, all_0_2_2) & city(all_0_4_4, all_0_1_1) & of(all_0_4_4, all_0_2_2, all_0_1_1) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0))
% 2.90/1.34 |
% 2.90/1.34 | Applying alpha-rule on (2) yields:
% 2.90/1.34 | (3) barrel(all_0_4_4, all_0_0_0)
% 2.90/1.34 | (4) old(all_0_4_4, all_0_1_1)
% 2.90/1.34 | (5) hollywood_placename(all_0_4_4, all_0_2_2)
% 2.90/1.34 | (6) street(all_0_4_4, all_0_3_3)
% 2.90/1.34 | (7) present(all_0_4_4, all_0_0_0)
% 2.90/1.34 | (8) chevy(all_0_4_4, all_0_1_1)
% 2.90/1.34 | (9) dirty(all_0_4_4, all_0_1_1)
% 2.90/1.34 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v2) | ~ down(v0, v4, v3) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v2) | ~ event(v0, v4) | ~ lonely(v0, v3) | ~ street(v0, v3) | ~ old(v0, v2) | ~ dirty(v0, v2) | ~ white(v0, v2) | ~ chevy(v0, v2) | ~ placename(v0, v1) | ~ hollywood_placename(v0, v1) | ~ city(v0, v2) | ~ of(v0, v1, v2) | ~ actual_world(v0))
% 2.90/1.34 | (11) in(all_0_4_4, all_0_0_0, all_0_1_1)
% 2.90/1.34 | (12) city(all_0_4_4, all_0_1_1)
% 2.90/1.34 | (13) of(all_0_4_4, all_0_2_2, all_0_1_1)
% 2.90/1.34 | (14) lonely(all_0_4_4, all_0_3_3)
% 2.90/1.34 | (15) event(all_0_4_4, all_0_0_0)
% 2.90/1.34 | (16) agent(all_0_4_4, all_0_0_0, all_0_1_1)
% 2.90/1.34 | (17) down(all_0_4_4, all_0_0_0, all_0_3_3)
% 2.90/1.34 | (18) white(all_0_4_4, all_0_1_1)
% 2.90/1.34 | (19) placename(all_0_4_4, all_0_2_2)
% 2.90/1.34 | (20) actual_world(all_0_4_4)
% 2.90/1.34 |
% 2.90/1.34 | Instantiating formula (10) with all_0_0_0, all_0_3_3, all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms in(all_0_4_4, all_0_0_0, all_0_1_1), down(all_0_4_4, all_0_0_0, all_0_3_3), barrel(all_0_4_4, all_0_0_0), present(all_0_4_4, all_0_0_0), agent(all_0_4_4, all_0_0_0, all_0_1_1), event(all_0_4_4, all_0_0_0), lonely(all_0_4_4, all_0_3_3), street(all_0_4_4, all_0_3_3), old(all_0_4_4, all_0_1_1), dirty(all_0_4_4, all_0_1_1), white(all_0_4_4, all_0_1_1), chevy(all_0_4_4, all_0_1_1), placename(all_0_4_4, all_0_2_2), hollywood_placename(all_0_4_4, all_0_2_2), city(all_0_4_4, all_0_1_1), of(all_0_4_4, all_0_2_2, all_0_1_1), actual_world(all_0_4_4), yields:
% 2.90/1.35 | (21) $false
% 2.90/1.35 |
% 2.90/1.35 |-The branch is then unsatisfiable
% 2.90/1.35 |-Branch two:
% 2.90/1.35 | (22) in(all_0_4_4, all_0_0_0, all_0_2_2) & down(all_0_4_4, all_0_0_0, all_0_1_1) & barrel(all_0_4_4, all_0_0_0) & present(all_0_4_4, all_0_0_0) & agent(all_0_4_4, all_0_0_0, all_0_2_2) & event(all_0_4_4, all_0_0_0) & lonely(all_0_4_4, all_0_1_1) & street(all_0_4_4, all_0_1_1) & old(all_0_4_4, all_0_2_2) & dirty(all_0_4_4, all_0_2_2) & white(all_0_4_4, all_0_2_2) & chevy(all_0_4_4, all_0_2_2) & placename(all_0_4_4, all_0_3_3) & hollywood_placename(all_0_4_4, all_0_3_3) & city(all_0_4_4, all_0_2_2) & of(all_0_4_4, all_0_3_3, all_0_2_2) & actual_world(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0))
% 2.90/1.35 |
% 2.90/1.35 | Applying alpha-rule on (22) yields:
% 2.90/1.35 | (3) barrel(all_0_4_4, all_0_0_0)
% 2.90/1.35 | (7) present(all_0_4_4, all_0_0_0)
% 2.90/1.35 | (25) dirty(all_0_4_4, all_0_2_2)
% 2.90/1.35 | (26) hollywood_placename(all_0_4_4, all_0_3_3)
% 2.90/1.35 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ in(v0, v4, v3) | ~ down(v0, v4, v1) | ~ barrel(v0, v4) | ~ present(v0, v4) | ~ agent(v0, v4, v3) | ~ event(v0, v4) | ~ lonely(v0, v1) | ~ street(v0, v1) | ~ old(v0, v3) | ~ dirty(v0, v3) | ~ white(v0, v3) | ~ chevy(v0, v3) | ~ placename(v0, v2) | ~ hollywood_placename(v0, v2) | ~ city(v0, v3) | ~ of(v0, v2, v3) | ~ actual_world(v0))
% 2.90/1.35 | (28) agent(all_0_4_4, all_0_0_0, all_0_2_2)
% 2.90/1.35 | (29) chevy(all_0_4_4, all_0_2_2)
% 2.90/1.35 | (30) placename(all_0_4_4, all_0_3_3)
% 2.90/1.35 | (31) street(all_0_4_4, all_0_1_1)
% 2.90/1.35 | (32) old(all_0_4_4, all_0_2_2)
% 2.90/1.35 | (33) white(all_0_4_4, all_0_2_2)
% 2.90/1.35 | (34) of(all_0_4_4, all_0_3_3, all_0_2_2)
% 2.90/1.35 | (35) lonely(all_0_4_4, all_0_1_1)
% 2.90/1.35 | (15) event(all_0_4_4, all_0_0_0)
% 2.90/1.35 | (37) city(all_0_4_4, all_0_2_2)
% 2.90/1.35 | (38) down(all_0_4_4, all_0_0_0, all_0_1_1)
% 2.90/1.35 | (39) in(all_0_4_4, all_0_0_0, all_0_2_2)
% 2.90/1.35 | (20) actual_world(all_0_4_4)
% 2.90/1.35 |
% 2.90/1.35 | Instantiating formula (27) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_1_1, all_0_4_4 and discharging atoms in(all_0_4_4, all_0_0_0, all_0_2_2), down(all_0_4_4, all_0_0_0, all_0_1_1), barrel(all_0_4_4, all_0_0_0), present(all_0_4_4, all_0_0_0), agent(all_0_4_4, all_0_0_0, all_0_2_2), event(all_0_4_4, all_0_0_0), lonely(all_0_4_4, all_0_1_1), street(all_0_4_4, all_0_1_1), old(all_0_4_4, all_0_2_2), dirty(all_0_4_4, all_0_2_2), white(all_0_4_4, all_0_2_2), chevy(all_0_4_4, all_0_2_2), placename(all_0_4_4, all_0_3_3), hollywood_placename(all_0_4_4, all_0_3_3), city(all_0_4_4, all_0_2_2), of(all_0_4_4, all_0_3_3, all_0_2_2), actual_world(all_0_4_4), yields:
% 2.90/1.36 | (21) $false
% 2.90/1.36 |
% 2.90/1.36 |-The branch is then unsatisfiable
% 2.90/1.36 % SZS output end Proof for theBenchmark
% 2.90/1.36
% 2.90/1.36 775ms
%------------------------------------------------------------------------------