TSTP Solution File: COM023+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 01:27:52 EDT 2022

% Result   : Theorem 50.12s 48.96s
% Output   : Proof 50.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM023+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 19:33:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 50.12/48.96  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.12/48.97  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.12/48.97  
% 50.12/48.97  %-----------------------------------------------------
% 50.12/48.97  fof(m__715, hypothesis, ! [_82229, _82232, _82235] : (aElement0(_82229) & aElement0(_82232) & aElement0(_82235) & (_82229 = _82232 | aReductOfIn0(_82232, _82229, xR) | ? [_82283] : (aElement0(_82283) & aReductOfIn0(_82283, _82229, xR) & sdtmndtplgtdt0(_82283, xR, _82232)) | sdtmndtplgtdt0(_82229, xR, _82232) | sdtmndtasgtdt0(_82229, xR, _82232)) & (_82229 = _82235 | aReductOfIn0(_82235, _82229, xR) | ? [_82283] : (aElement0(_82283) & aReductOfIn0(_82283, _82229, xR) & sdtmndtplgtdt0(_82283, xR, _82235)) | sdtmndtplgtdt0(_82229, xR, _82235) | sdtmndtasgtdt0(_82229, xR, _82235)) => ? [_82283] : (aElement0(_82283) & (_82232 = _82283 | (aReductOfIn0(_82283, _82232, xR) | ? [_82468] : (aElement0(_82468) & aReductOfIn0(_82468, _82232, xR) & sdtmndtplgtdt0(_82468, xR, _82283))) & sdtmndtplgtdt0(_82232, xR, _82283)) & sdtmndtasgtdt0(_82232, xR, _82283) & (_82235 = _82283 | (aReductOfIn0(_82283, _82235, xR) | ? [_82468] : (aElement0(_82468) & aReductOfIn0(_82468, _82235, xR) & sdtmndtplgtdt0(_82468, xR, _82283))) & sdtmndtplgtdt0(_82235, xR, _82283)) & sdtmndtasgtdt0(_82235, xR, _82283))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__715)).
% 50.12/48.97  fof(mCRDef, definition, ! [_83534] : (aRewritingSystem0(_83534) => (isConfluent0(_83534) <=> ! [_83556, _83559, _83562] : (aElement0(_83556) & aElement0(_83559) & aElement0(_83562) & sdtmndtasgtdt0(_83556, _83534, _83559) & sdtmndtasgtdt0(_83556, _83534, _83562) => ? [_83617] : (aElement0(_83617) & sdtmndtasgtdt0(_83559, _83534, _83617) & sdtmndtasgtdt0(_83562, _83534, _83617))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mCRDef)).
% 50.12/48.97  fof(m__, conjecture, ! [_84048, _84051, _84054] : (aElement0(_84048) & aElement0(_84051) & aElement0(_84054) & (_84048 = _84051 | (aReductOfIn0(_84051, _84048, xR) | ? [_84102] : (aElement0(_84102) & aReductOfIn0(_84102, _84048, xR) & sdtmndtplgtdt0(_84102, xR, _84051))) & sdtmndtplgtdt0(_84048, xR, _84051)) & sdtmndtasgtdt0(_84048, xR, _84051) & (_84048 = _84054 | (aReductOfIn0(_84054, _84048, xR) | ? [_84102] : (aElement0(_84102) & aReductOfIn0(_84102, _84048, xR) & sdtmndtplgtdt0(_84102, xR, _84054))) & sdtmndtplgtdt0(_84048, xR, _84054)) & sdtmndtasgtdt0(_84048, xR, _84054) => ? [_84102] : (aElement0(_84102) & (_84051 = _84102 | aReductOfIn0(_84102, _84051, xR) | ? [_84287] : (aElement0(_84287) & aReductOfIn0(_84287, _84051, xR) & sdtmndtplgtdt0(_84287, xR, _84102)) | sdtmndtplgtdt0(_84051, xR, _84102) | sdtmndtasgtdt0(_84051, xR, _84102)) & (_84054 = _84102 | aReductOfIn0(_84102, _84054, xR) | ? [_84287] : (aElement0(_84287) & aReductOfIn0(_84287, _84054, xR) & sdtmndtplgtdt0(_84287, xR, _84102)) | sdtmndtplgtdt0(_84054, xR, _84102) | sdtmndtasgtdt0(_84054, xR, _84102)))) | isConfluent0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 50.12/48.97  fof(m__656, hypothesis, aRewritingSystem0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 50.12/48.97  
% 50.12/48.97  cnf(1, plain, [-(47 ^ [_43884, _43618, _43351]), -(sdtmndtasgtdt0(_43884, xR, 40 ^ [_43884, _43618, _43351]))], clausify(m__715)).
% 50.12/48.97  cnf(2, plain, [-(47 ^ [_43884, _43618, _43351]), -(sdtmndtasgtdt0(_43618, xR, 40 ^ [_43884, _43618, _43351]))], clausify(m__715)).
% 50.12/48.97  cnf(3, plain, [-(47 ^ [_43884, _43618, _43351]), -(aElement0(40 ^ [_43884, _43618, _43351]))], clausify(m__715)).
% 50.12/48.97  cnf(4, plain, [-(39 ^ [_43884, _43618, _43351]), sdtmndtasgtdt0(_43351, xR, _43884)], clausify(m__715)).
% 50.12/48.97  cnf(5, plain, [-(38 ^ [_43884, _43618, _43351]), sdtmndtasgtdt0(_43351, xR, _43618)], clausify(m__715)).
% 50.12/48.97  cnf(6, plain, [-(12 ^ [_34761]), aElement0(_54794), sdtmndtasgtdt0(10 ^ [_34761], _34761, _54794), sdtmndtasgtdt0(11 ^ [_34761], _34761, _54794)], clausify(mCRDef)).
% 50.12/48.97  cnf(7, plain, [-(12 ^ [_34761]), -(sdtmndtasgtdt0(9 ^ [_34761], _34761, 11 ^ [_34761]))], clausify(mCRDef)).
% 50.12/48.97  cnf(8, plain, [-(12 ^ [_34761]), -(sdtmndtasgtdt0(9 ^ [_34761], _34761, 10 ^ [_34761]))], clausify(mCRDef)).
% 50.12/48.97  cnf(9, plain, [-(12 ^ [_34761]), -(aElement0(11 ^ [_34761]))], clausify(mCRDef)).
% 50.12/48.97  cnf(10, plain, [-(12 ^ [_34761]), -(aElement0(10 ^ [_34761]))], clausify(mCRDef)).
% 50.12/48.97  cnf(11, plain, [-(12 ^ [_34761]), -(aElement0(9 ^ [_34761]))], clausify(mCRDef)).
% 50.12/48.97  cnf(12, plain, [-(13 ^ [_34761]), -(isConfluent0(_34761)), 12 ^ [_34761]], clausify(mCRDef)).
% 50.12/48.97  cnf(13, plain, [isConfluent0(xR)], clausify(m__)).
% 50.12/48.97  cnf(14, plain, [aRewritingSystem0(_34761), 13 ^ [_34761]], clausify(mCRDef)).
% 50.12/48.97  cnf(15, plain, [-(aRewritingSystem0(xR))], clausify(m__656)).
% 50.12/48.97  cnf(16, plain, [39 ^ [_43884, _43618, _43351], 38 ^ [_43884, _43618, _43351], aElement0(_43884), aElement0(_43618), aElement0(_43351), 47 ^ [_43884, _43618, _43351]], clausify(m__715)).
% 50.12/48.97  
% 50.12/48.97  cnf('1',plain,[isConfluent0(xR)],start(13)).
% 50.12/48.97  cnf('1.1',plain,[-(isConfluent0(xR)), -(13 ^ [xR]), 12 ^ [xR]],extension(12,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.1',plain,[13 ^ [xR], aRewritingSystem0(xR)],extension(14,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.1.1',plain,[-(aRewritingSystem0(xR))],extension(15)).
% 50.12/48.97  cnf('1.1.2',plain,[-(12 ^ [xR]), -(aElement0(10 ^ [xR]))],extension(10,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.2.1',plain,[aElement0(10 ^ [xR]), 39 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]], 38 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]], aElement0(11 ^ [xR]), aElement0(9 ^ [xR]), 47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]],extension(16,bind([[_43884, _43618, _43351], [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.1',plain,[-(39 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]), sdtmndtasgtdt0(9 ^ [xR], xR, 10 ^ [xR])],extension(4,bind([[_43618, _43351, _43884], [11 ^ [xR], 9 ^ [xR], 10 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.1.1',plain,[-(sdtmndtasgtdt0(9 ^ [xR], xR, 10 ^ [xR])), -(12 ^ [xR])],extension(8,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.2.1.1.1.1',plain,[12 ^ [xR]],reduction('1.1')).
% 50.12/48.97  cnf('1.1.2.1.2',plain,[-(38 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]), sdtmndtasgtdt0(9 ^ [xR], xR, 11 ^ [xR])],extension(5,bind([[_43884, _43351, _43618], [10 ^ [xR], 9 ^ [xR], 11 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.2.1',plain,[-(sdtmndtasgtdt0(9 ^ [xR], xR, 11 ^ [xR])), -(12 ^ [xR])],extension(7,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.2.1.2.1.1',plain,[12 ^ [xR]],reduction('1.1')).
% 50.12/48.97  cnf('1.1.2.1.3',plain,[-(aElement0(11 ^ [xR])), -(12 ^ [xR])],extension(9,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.2.1.3.1',plain,[12 ^ [xR]],reduction('1.1')).
% 50.12/48.97  cnf('1.1.2.1.4',plain,[-(aElement0(9 ^ [xR])), -(12 ^ [xR])],extension(11,bind([[_34761], [xR]]))).
% 50.12/48.97  cnf('1.1.2.1.4.1',plain,[12 ^ [xR]],reduction('1.1')).
% 50.12/48.97  cnf('1.1.2.1.5',plain,[-(47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]), -(sdtmndtasgtdt0(10 ^ [xR], xR, 40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]))],extension(1,bind([[_43884, _43618, _43351], [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.5.1',plain,[sdtmndtasgtdt0(10 ^ [xR], xR, 40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]), -(12 ^ [xR]), aElement0(40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]), sdtmndtasgtdt0(11 ^ [xR], xR, 40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]])],extension(6,bind([[_34761, _54794], [xR, 40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]]]))).
% 50.12/48.97  cnf('1.1.2.1.5.1.1',plain,[12 ^ [xR]],reduction('1.1')).
% 50.12/48.97  cnf('1.1.2.1.5.1.2',plain,[-(aElement0(40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]])), -(47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]])],extension(3,bind([[_43884, _43618, _43351], [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.5.1.2.1',plain,[47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]],reduction('1.1.2.1')).
% 50.12/48.97  cnf('1.1.2.1.5.1.3',plain,[-(sdtmndtasgtdt0(11 ^ [xR], xR, 40 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]])), -(47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]])],extension(2,bind([[_43884, _43618, _43351], [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]]))).
% 50.12/48.97  cnf('1.1.2.1.5.1.3.1',plain,[47 ^ [10 ^ [xR], 11 ^ [xR], 9 ^ [xR]]],reduction('1.1.2.1')).
% 50.12/48.97  %-----------------------------------------------------
% 50.19/48.97  
% 50.19/48.98  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------