TSTP Solution File: COM017+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : Fri Jul 15 01:27:50 EDT 2022
% Result : Theorem 272.37s 262.82s
% Output : Proof 272.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 18:50:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 272.37/262.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 272.37/262.83 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 272.37/262.83
% 272.37/262.83 %-----------------------------------------------------
% 272.37/262.83 fof(m__, conjecture, ? [_84187] : (aElement0(_84187) & (xu = _84187 | aReductOfIn0(_84187, xu, xR) | ? [_84221] : (aElement0(_84221) & aReductOfIn0(_84221, xu, xR) & sdtmndtplgtdt0(_84221, xR, _84187)) | sdtmndtplgtdt0(xu, xR, _84187) | sdtmndtasgtdt0(xu, xR, _84187)) & (xv = _84187 | aReductOfIn0(_84187, xv, xR) | ? [_84221] : (aElement0(_84221) & aReductOfIn0(_84221, xv, xR) & sdtmndtplgtdt0(_84221, xR, _84187)) | sdtmndtplgtdt0(xv, xR, _84187) | sdtmndtasgtdt0(xv, xR, _84187))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 272.37/262.83 fof(m__656_01, hypothesis, ! [_84859, _84862, _84865] : (aElement0(_84859) & aElement0(_84862) & aElement0(_84865) & aReductOfIn0(_84862, _84859, xR) & aReductOfIn0(_84865, _84859, xR) => ? [_84920] : (aElement0(_84920) & (_84862 = _84920 | (aReductOfIn0(_84920, _84862, xR) | ? [_84954] : (aElement0(_84954) & aReductOfIn0(_84954, _84862, xR) & sdtmndtplgtdt0(_84954, xR, _84920))) & sdtmndtplgtdt0(_84862, xR, _84920)) & sdtmndtasgtdt0(_84862, xR, _84920) & (_84865 = _84920 | (aReductOfIn0(_84920, _84865, xR) | ? [_84954] : (aElement0(_84954) & aReductOfIn0(_84954, _84865, xR) & sdtmndtplgtdt0(_84954, xR, _84920))) & sdtmndtplgtdt0(_84865, xR, _84920)) & sdtmndtasgtdt0(_84865, xR, _84920))) & isLocallyConfluent0(xR) & ! [_84859, _84862] : (aElement0(_84859) & aElement0(_84862) => aReductOfIn0(_84862, _84859, xR) | ? [_84865] : (aElement0(_84865) & aReductOfIn0(_84865, _84859, xR) & sdtmndtplgtdt0(_84865, xR, _84862)) | sdtmndtplgtdt0(_84859, xR, _84862) => iLess0(_84862, _84859)) & isTerminating0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656_01)).
% 272.37/262.83 fof(mReduct, axiom, ! [_86077, _86080] : (aElement0(_86077) & aRewritingSystem0(_86080) => ! [_86102] : (aReductOfIn0(_86102, _86077, _86080) => aElement0(_86102))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mReduct)).
% 272.37/262.83 fof(m__656, hypothesis, aRewritingSystem0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 272.37/262.83 fof(m__731, hypothesis, aElement0(xa) & aElement0(xb) & aElement0(xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__731)).
% 272.37/262.83 fof(m__755, hypothesis, aElement0(xu) & aReductOfIn0(xu, xa, xR) & (xu = xb | (aReductOfIn0(xb, xu, xR) | ? [_86473] : (aElement0(_86473) & aReductOfIn0(_86473, xu, xR) & sdtmndtplgtdt0(_86473, xR, xb))) & sdtmndtplgtdt0(xu, xR, xb)) & sdtmndtasgtdt0(xu, xR, xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__755)).
% 272.37/262.83 fof(m__779, hypothesis, aElement0(xv) & aReductOfIn0(xv, xa, xR) & (xv = xc | (aReductOfIn0(xc, xv, xR) | ? [_86842] : (aElement0(_86842) & aReductOfIn0(_86842, xv, xR) & sdtmndtplgtdt0(_86842, xR, xc))) & sdtmndtplgtdt0(xv, xR, xc)) & sdtmndtasgtdt0(xv, xR, xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__779)).
% 272.37/262.83
% 272.37/262.83 cnf(1, plain, [-(59 ^ [_52825]), sdtmndtasgtdt0(xv, xR, _52825)], clausify(m__)).
% 272.37/262.83 cnf(2, plain, [-(58 ^ [_52825]), sdtmndtasgtdt0(xu, xR, _52825)], clausify(m__)).
% 272.37/262.83 cnf(3, plain, [-(36 ^ [_41344, _41166, _40987]), -(sdtmndtasgtdt0(_41344, xR, 29 ^ [_41344, _41166, _40987]))], clausify(m__656_01)).
% 272.37/262.83 cnf(4, plain, [-(36 ^ [_41344, _41166, _40987]), -(sdtmndtasgtdt0(_41166, xR, 29 ^ [_41344, _41166, _40987]))], clausify(m__656_01)).
% 272.37/262.83 cnf(5, plain, [-(36 ^ [_41344, _41166, _40987]), -(aElement0(29 ^ [_41344, _41166, _40987]))], clausify(m__656_01)).
% 272.37/262.83 cnf(6, plain, [aElement0(_52825), 58 ^ [_52825], 59 ^ [_52825]], clausify(m__)).
% 272.37/262.83 cnf(7, plain, [aRewritingSystem0(_30880), aElement0(_30820), aReductOfIn0(_31030, _30820, _30880), -(aElement0(_31030))], clausify(mReduct)).
% 272.37/262.83 cnf(8, plain, [-(aRewritingSystem0(xR))], clausify(m__656)).
% 272.37/262.83 cnf(9, plain, [aReductOfIn0(_41344, _40987, xR), aReductOfIn0(_41166, _40987, xR), aElement0(_41344), aElement0(_41166), aElement0(_40987), 36 ^ [_41344, _41166, _40987]], clausify(m__656_01)).
% 272.37/262.83 cnf(10, plain, [-(aElement0(xa))], clausify(m__731)).
% 272.37/262.83 cnf(11, plain, [-(aElement0(xu))], clausify(m__755)).
% 272.37/262.83 cnf(12, plain, [-(aReductOfIn0(xu, xa, xR))], clausify(m__755)).
% 272.37/262.83 cnf(13, plain, [-(aElement0(xv))], clausify(m__779)).
% 272.37/262.83 cnf(14, plain, [-(aReductOfIn0(xv, xa, xR))], clausify(m__779)).
% 272.37/262.83
% 272.37/262.83 cnf('1',plain,[aElement0(29 ^ [xu, xv, xa]), 58 ^ [29 ^ [xu, xv, xa]], 59 ^ [29 ^ [xu, xv, xa]]],start(6,bind([[_52825], [29 ^ [xu, xv, xa]]]))).
% 272.37/262.83 cnf('1.1',plain,[-(aElement0(29 ^ [xu, xv, xa])), -(36 ^ [xu, xv, xa])],extension(5,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.1.1',plain,[36 ^ [xu, xv, xa], aReductOfIn0(xu, xa, xR), aReductOfIn0(xv, xa, xR), aElement0(xu), aElement0(xv), aElement0(xa)],extension(9,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.1.1.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(12)).
% 272.37/262.83 cnf('1.1.1.2',plain,[-(aReductOfIn0(xv, xa, xR))],extension(14)).
% 272.37/262.83 cnf('1.1.1.3',plain,[-(aElement0(xu)), aRewritingSystem0(xR), aElement0(xa), aReductOfIn0(xu, xa, xR)],extension(7,bind([[_31030, _30820, _30880], [xu, xa, xR]]))).
% 272.37/262.83 cnf('1.1.1.3.1',plain,[-(aRewritingSystem0(xR))],extension(8)).
% 272.37/262.83 cnf('1.1.1.3.2',plain,[-(aElement0(xa))],extension(10)).
% 272.37/262.83 cnf('1.1.1.3.3',plain,[-(aReductOfIn0(xu, xa, xR))],extension(12)).
% 272.37/262.83 cnf('1.1.1.4',plain,[-(aElement0(xv)), aRewritingSystem0(xR), aElement0(xa), aReductOfIn0(xv, xa, xR)],extension(7,bind([[_31030, _30820, _30880], [xv, xa, xR]]))).
% 272.37/262.83 cnf('1.1.1.4.1',plain,[-(aRewritingSystem0(xR))],extension(8)).
% 272.37/262.83 cnf('1.1.1.4.2',plain,[-(aElement0(xa))],extension(10)).
% 272.37/262.83 cnf('1.1.1.4.3',plain,[-(aReductOfIn0(xv, xa, xR))],extension(14)).
% 272.37/262.83 cnf('1.1.1.5',plain,[-(aElement0(xa))],extension(10)).
% 272.37/262.83 cnf('1.2',plain,[-(58 ^ [29 ^ [xu, xv, xa]]), sdtmndtasgtdt0(xu, xR, 29 ^ [xu, xv, xa])],extension(2,bind([[_52825], [29 ^ [xu, xv, xa]]]))).
% 272.37/262.83 cnf('1.2.1',plain,[-(sdtmndtasgtdt0(xu, xR, 29 ^ [xu, xv, xa])), -(36 ^ [xu, xv, xa])],extension(3,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.2.1.1',plain,[36 ^ [xu, xv, xa], aReductOfIn0(xu, xa, xR), aReductOfIn0(xv, xa, xR), aElement0(xu), aElement0(xv), aElement0(xa)],extension(9,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.2.1.1.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(12)).
% 272.37/262.83 cnf('1.2.1.1.2',plain,[-(aReductOfIn0(xv, xa, xR))],extension(14)).
% 272.37/262.83 cnf('1.2.1.1.3',plain,[-(aElement0(xu))],extension(11)).
% 272.37/262.83 cnf('1.2.1.1.4',plain,[-(aElement0(xv))],extension(13)).
% 272.37/262.83 cnf('1.2.1.1.5',plain,[-(aElement0(xa))],extension(10)).
% 272.37/262.83 cnf('1.3',plain,[-(59 ^ [29 ^ [xu, xv, xa]]), sdtmndtasgtdt0(xv, xR, 29 ^ [xu, xv, xa])],extension(1,bind([[_52825], [29 ^ [xu, xv, xa]]]))).
% 272.37/262.83 cnf('1.3.1',plain,[-(sdtmndtasgtdt0(xv, xR, 29 ^ [xu, xv, xa])), -(36 ^ [xu, xv, xa])],extension(4,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.3.1.1',plain,[36 ^ [xu, xv, xa], aReductOfIn0(xu, xa, xR), aReductOfIn0(xv, xa, xR), aElement0(xu), aElement0(xv), aElement0(xa)],extension(9,bind([[_41344, _41166, _40987], [xu, xv, xa]]))).
% 272.37/262.83 cnf('1.3.1.1.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(12)).
% 272.37/262.83 cnf('1.3.1.1.2',plain,[-(aReductOfIn0(xv, xa, xR))],extension(14)).
% 272.37/262.83 cnf('1.3.1.1.3',plain,[-(aElement0(xu))],extension(11)).
% 272.37/262.83 cnf('1.3.1.1.4',plain,[-(aElement0(xv))],extension(13)).
% 272.37/262.83 cnf('1.3.1.1.5',plain,[-(aElement0(xa))],extension(10)).
% 272.37/262.83 %-----------------------------------------------------
% 272.46/262.84
% 272.46/262.84 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------