TSTP Solution File: RNG077+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 20:33:46 EDT 2022

% Result   : Theorem 218.89s 211.04s
% Output   : Proof 218.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 12:40:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 218.89/211.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 218.89/211.04  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 218.89/211.05  
% 218.89/211.05  %-----------------------------------------------------
% 218.89/211.05  fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1911)).
% 218.89/211.05  fof(m__, conjecture, sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 218.89/211.05  fof(m__1746, hypothesis, aScalar0(xA) & xA = sdtlbdtrb0(xs, aDimensionOf0(xs)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1746)).
% 218.89/211.05  fof(mArith, axiom, ! [_99249, _99252, _99255] : (aScalar0(_99249) & aScalar0(_99252) & aScalar0(_99255) => sdtpldt0(sdtpldt0(_99249, _99252), _99255) = sdtpldt0(_99249, sdtpldt0(_99252, _99255)) & sdtpldt0(_99249, _99252) = sdtpldt0(_99252, _99249) & sdtasdt0(sdtasdt0(_99249, _99252), _99255) = sdtasdt0(_99249, sdtasdt0(_99252, _99255)) & sdtasdt0(_99249, _99252) = sdtasdt0(_99252, _99249)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mArith)).
% 218.89/211.05  fof(m__1820, hypothesis, aScalar0(xE) & xE = sdtasasdt0(xp, xq), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1820)).
% 218.89/211.05  fof(m__1873, hypothesis, aScalar0(xH) & xH = sdtasdt0(xA, xB), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1873)).
% 218.89/211.05  fof(mMulSc, axiom, ! [_99969, _99972] : (aScalar0(_99969) & aScalar0(_99972) => aScalar0(sdtasdt0(_99969, _99972))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulSc)).
% 218.89/211.05  
% 218.89/211.05  cnf(1, plain, [-(xP = sdtasdt0(xE, xH))], clausify(m__1911)).
% 218.89/211.05  cnf(2, plain, [-(_28758 = _28869), _28758 = _28814, _28814 = _28869], theory(equality)).
% 218.89/211.05  cnf(3, plain, [sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))], clausify(m__)).
% 218.89/211.05  cnf(4, plain, [-(aScalar0(xA))], clausify(m__1746)).
% 218.89/211.05  cnf(5, plain, [-(sdtpldt0(sdtpldt0(_40208, _40321), _40433) = sdtpldt0(_40208, sdtpldt0(_40321, _40433))), aScalar0(_40208), aScalar0(_40321), aScalar0(_40433)], clausify(mArith)).
% 218.89/211.05  cnf(6, plain, [_28479 = _28524, -(_28524 = _28479)], theory(equality)).
% 218.89/211.05  cnf(7, plain, [-(_28326 = _28326)], theory(equality)).
% 218.89/211.05  cnf(8, plain, [-(aScalar0(xE))], clausify(m__1820)).
% 218.89/211.05  cnf(9, plain, [-(aScalar0(xH))], clausify(m__1873)).
% 218.89/211.05  cnf(10, plain, [-(sdtasdt0(_40208, _40321) = sdtasdt0(_40321, _40208)), aScalar0(_40208), aScalar0(_40321), aScalar0(_40433)], clausify(mArith)).
% 218.89/211.05  cnf(11, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 218.89/211.05  cnf(12, plain, [-(sdtpldt0(_33735, _33868) = sdtpldt0(_33802, _33933)), _33735 = _33802, _33868 = _33933], theory(equality)).
% 218.89/211.05  cnf(13, plain, [-(aScalar0(sdtasdt0(_38493, _38544))), aScalar0(_38493), aScalar0(_38544)], clausify(mMulSc)).
% 218.89/211.05  
% 218.89/211.05  cnf('1',plain,[sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],start(3)).
% 218.89/211.05  cnf('1.1',plain,[-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))), sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],extension(2,bind([[_28758, _28814, _28869], [sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 218.89/211.05  cnf('1.1.1',plain,[-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH)))), aScalar0(xP), aScalar0(xP), aScalar0(sdtasdt0(xH, xH))],extension(5,bind([[_40208, _40321, _40433], [xP, xP, sdtasdt0(xH, xH)]]))).
% 218.89/211.05  cnf('1.1.1.1',plain,[-(aScalar0(xP))],extension(11)).
% 218.89/211.05  cnf('1.1.1.2',plain,[-(aScalar0(xP))],extension(11)).
% 218.89/211.05  cnf('1.1.1.3',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(13,bind([[_38493, _38544], [xH, xH]]))).
% 218.89/211.05  cnf('1.1.1.3.1',plain,[-(aScalar0(xH))],extension(9)).
% 218.89/211.05  cnf('1.1.1.3.2',plain,[-(aScalar0(xH))],extension(9)).
% 218.89/211.05  cnf('1.1.2',plain,[-(sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), xP = sdtasdt0(xE, xH), sdtpldt0(xP, sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))],extension(12,bind([[_33735, _33802, _33868, _33933], [xP, sdtasdt0(xE, xH), sdtpldt0(xP, sdtasdt0(xH, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))]]))).
% 218.89/211.05  cnf('1.1.2.1',plain,[-(xP = sdtasdt0(xE, xH))],extension(1)).
% 218.89/211.05  cnf('1.1.2.2',plain,[-(sdtpldt0(xP, sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), xP = sdtasdt0(xH, xE), sdtasdt0(xH, xH) = sdtasdt0(xH, xH)],extension(12,bind([[_33735, _33802, _33868, _33933], [xP, sdtasdt0(xH, xE), sdtasdt0(xH, xH), sdtasdt0(xH, xH)]]))).
% 218.89/211.05  cnf('1.1.2.2.1',plain,[-(xP = sdtasdt0(xH, xE)), xP = sdtasdt0(xE, xH), sdtasdt0(xE, xH) = sdtasdt0(xH, xE)],extension(2,bind([[_28758, _28814, _28869], [xP, sdtasdt0(xE, xH), sdtasdt0(xH, xE)]]))).
% 218.89/211.05  cnf('1.1.2.2.1.1',plain,[-(xP = sdtasdt0(xE, xH))],extension(1)).
% 218.89/211.05  cnf('1.1.2.2.1.2',plain,[-(sdtasdt0(xE, xH) = sdtasdt0(xH, xE)), sdtasdt0(xH, xE) = sdtasdt0(xE, xH)],extension(6,bind([[_28479, _28524], [sdtasdt0(xH, xE), sdtasdt0(xE, xH)]]))).
% 218.89/211.05  cnf('1.1.2.2.1.2.1',plain,[-(sdtasdt0(xH, xE) = sdtasdt0(xE, xH)), aScalar0(xH), aScalar0(xE), aScalar0(xA)],extension(10,bind([[_40208, _40321, _40433], [xH, xE, xA]]))).
% 218.89/211.05  cnf('1.1.2.2.1.2.1.1',plain,[-(aScalar0(xH))],extension(9)).
% 218.89/211.05  cnf('1.1.2.2.1.2.1.2',plain,[-(aScalar0(xE))],extension(8)).
% 218.89/211.05  cnf('1.1.2.2.1.2.1.3',plain,[-(aScalar0(xA))],extension(4)).
% 218.89/211.05  cnf('1.1.2.2.2',plain,[-(sdtasdt0(xH, xH) = sdtasdt0(xH, xH))],extension(7,bind([[_28326], [sdtasdt0(xH, xH)]]))).
% 218.89/211.05  %-----------------------------------------------------
% 218.89/211.06  
% 218.89/211.06  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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