TSTP Solution File: COM012+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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  : 300s
% DateTime : Fri May 19 10:14:32 EDT 2023

% Result   : Theorem 0.40s 1.38s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n004.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  : 300
% 0.12/0.33  % DateTime : Fri May 19 03:18:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.40/1.38  
% 0.40/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.40/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  ncf(matrix, plain, [(289 ^ _40020) ^ [] : [-(sdtmndtasgtdt0(xx, xR, xy))], (291 ^ _40020) ^ [] : [-(sdtmndtasgtdt0(xy, xR, xz))], (293 ^ _40020) ^ [] : [sdtmndtasgtdt0(xx, xR, xz)], (2 ^ _40020) ^ [_40144] : [-(_40144 = _40144)], (4 ^ _40020) ^ [_40251, _40253] : [_40253 = _40251, -(_40251 = _40253)], (10 ^ _40020) ^ [_40455, _40457, _40459] : [-(_40459 = _40455), _40459 = _40457, _40457 = _40455], (20 ^ _40020) ^ [_40796, _40798, _40800, _40802] : [-(iLess0(_40800, _40796)), iLess0(_40802, _40798), _40802 = _40800, _40798 = _40796], (34 ^ _40020) ^ [_41268, _41270, _41272, _41274, _41276, _41278] : [-(aReductOfIn0(_41276, _41272, _41268)), aReductOfIn0(_41278, _41274, _41270), _41278 = _41276, _41274 = _41272, _41270 = _41268], (52 ^ _40020) ^ [_41877, _41879, _41881, _41883, _41885, _41887] : [-(sdtmndtplgtdt0(_41885, _41881, _41877)), sdtmndtplgtdt0(_41887, _41883, _41879), _41887 = _41885, _41883 = _41881, _41879 = _41877], (70 ^ _40020) ^ [_42430, _42432] : [-(aRewritingSystem0(_42430)), _42432 = _42430, aRewritingSystem0(_42432)], (80 ^ _40020) ^ [_42725, _42727] : [-(aElement0(_42725)), _42727 = _42725, aElement0(_42727)], (90 ^ _40020) ^ [_43056, _43058, _43060, _43062, _43064, _43066] : [-(sdtmndtasgtdt0(_43064, _43060, _43056)), sdtmndtasgtdt0(_43066, _43062, _43058), _43066 = _43064, _43062 = _43060, _43058 = _43056], (108 ^ _40020) ^ [_43611] : [aElement0(_43611), true___, -(true___)], (118 ^ _40020) ^ [_43866] : [aRewritingSystem0(_43866), true___, -(true___)], (128 ^ _40020) ^ [_44135, _44137] : [aElement0(_44137), aRewritingSystem0(_44135), 135 ^ _40020 : [(136 ^ _40020) ^ [_44357] : [aReductOfIn0(_44357, _44137, _44135), -(aElement0(_44357))]]], (142 ^ _40020) ^ [_44584, _44586] : [aElement0(_44586), aElement0(_44584), iLess0(_44586, _44584), true___, -(true___)], (160 ^ _40020) ^ [_45058, _45060, _45062] : [aElement0(_45062), aRewritingSystem0(_45060), aElement0(_45058), sdtmndtplgtdt0(_45062, _45060, _45058), true___, -(true___)], (182 ^ _40020) ^ [_45645, _45647, _45649] : [aElement0(_45649), aRewritingSystem0(_45647), aElement0(_45645), 193 ^ _40020 : [(194 ^ _40020) ^ [] : [sdtmndtplgtdt0(_45649, _45647, _45645), -(aReductOfIn0(_45645, _45649, _45647)), 202 ^ _40020 : [(203 ^ _40020) ^ [] : [-(aElement0(201 ^ [_45645, _45647, _45649]))], (205 ^ _40020) ^ [] : [-(aReductOfIn0(201 ^ [_45645, _45647, _45649], _45649, _45647))], (207 ^ _40020) ^ [] : [-(sdtmndtplgtdt0(201 ^ [_45645, _45647, _45649], _45647, _45645))]]], (209 ^ _40020) ^ [] : [-(sdtmndtplgtdt0(_45649, _45647, _45645)), 210 ^ _40020 : [(211 ^ _40020) ^ [] : [aReductOfIn0(_45645, _45649, _45647)], (213 ^ _40020) ^ [_46576] : [aElement0(_46576), aReductOfIn0(_46576, _45649, _45647), sdtmndtplgtdt0(_46576, _45647, _45645)]]]]], (225 ^ _40020) ^ [_46997, _46999, _47001, _47003] : [-(sdtmndtplgtdt0(_47003, _47001, _46997)), sdtmndtplgtdt0(_47003, _47001, _46999), sdtmndtplgtdt0(_46999, _47001, _46997), aElement0(_47003), aRewritingSystem0(_47001), aElement0(_46999), aElement0(_46997)], (281 ^ _40020) ^ [] : [-(aElement0(xx))], (283 ^ _40020) ^ [] : [-(aRewritingSystem0(xR))], (285 ^ _40020) ^ [] : [-(aElement0(xy))], (287 ^ _40020) ^ [] : [-(aElement0(xz))], (251 ^ _40020) ^ [_47720, _47722, _47724] : [aElement0(_47724), aRewritingSystem0(_47722), aElement0(_47720), 262 ^ _40020 : [(273 ^ _40020) ^ [] : [274 ^ _40020 : [(275 ^ _40020) ^ [] : [_47724 = _47720], (277 ^ _40020) ^ [] : [sdtmndtplgtdt0(_47724, _47722, _47720)]], -(sdtmndtasgtdt0(_47724, _47722, _47720))], (263 ^ _40020) ^ [] : [sdtmndtasgtdt0(_47724, _47722, _47720), -(_47724 = _47720), -(sdtmndtplgtdt0(_47724, _47722, _47720))]]]], input).
% 0.40/1.38  ncf('1',plain,[sdtmndtasgtdt0(xx, xR, xz)],start(293 ^ 0)).
% 0.40/1.38  ncf('1.1',plain,[-(sdtmndtasgtdt0(xx, xR, xz)), 277 : sdtmndtplgtdt0(xx, xR, xz), 273 : aElement0(xx), 273 : aRewritingSystem0(xR), 273 : aElement0(xz)],extension(251 ^ 1,bind([[_47720, _47722, _47724], [xz, xR, xx]]))).
% 0.40/1.38  ncf('1.1.1',plain,[-(sdtmndtplgtdt0(xx, xR, xz)), sdtmndtplgtdt0(xx, xR, xy), xx = xx, xR = xR, xy = xz],extension(52 ^ 6,bind([[_41877, _41879, _41881, _41883, _41885, _41887], [xz, xy, xR, xR, xx, xx]]))).
% 0.40/1.38  ncf('1.1.1.1',plain,[-(sdtmndtplgtdt0(xx, xR, xy)), 263 : sdtmndtasgtdt0(xx, xR, xy), 263 : -(xx = xy), 263 : aElement0(xx), 263 : aRewritingSystem0(xR), 263 : aElement0(xy)],extension(251 ^ 7,bind([[_47720, _47722, _47724], [xy, xR, xx]]))).
% 0.40/1.38  ncf('1.1.1.1.1',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],extension(289 ^ 10)).
% 0.40/1.38  ncf('1.1.1.1.2',plain,[xx = xy, -(xy = xx)],extension(4 ^ 10,bind([[_40251, _40253], [xy, xx]]))).
% 0.40/1.38  ncf('1.1.1.1.2.1',plain,[xy = xx, -(sdtmndtasgtdt0(xx, xR, xz)), sdtmndtasgtdt0(xy, xR, xz), xR = xR, xz = xz],extension(90 ^ 11,bind([[_43056, _43058, _43060, _43062, _43064, _43066], [xz, xz, xR, xR, xx, xy]]))).
% 0.40/1.38  ncf('1.1.1.1.2.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],reduction('1')).
% 0.40/1.38  ncf('1.1.1.1.2.1.2',plain,[-(sdtmndtasgtdt0(xy, xR, xz))],extension(291 ^ 12)).
% 0.40/1.38  ncf('1.1.1.1.2.1.3',plain,[-(xR = xR)],extension(2 ^ 12,bind([[_40144], [xR]]))).
% 0.40/1.38  ncf('1.1.1.1.2.1.4',plain,[-(xz = xz)],extension(2 ^ 12,bind([[_40144], [xz]]))).
% 0.40/1.38  ncf('1.1.1.1.3',plain,[-(aElement0(xx))],extension(281 ^ 8)).
% 0.40/1.38  ncf('1.1.1.1.4',plain,[-(aRewritingSystem0(xR))],extension(283 ^ 8)).
% 0.40/1.38  ncf('1.1.1.1.5',plain,[-(aElement0(xy))],extension(285 ^ 8)).
% 0.40/1.38  ncf('1.1.1.2',plain,[-(xx = xx)],extension(2 ^ 7,bind([[_40144], [xx]]))).
% 0.40/1.38  ncf('1.1.1.3',plain,[-(xR = xR)],extension(2 ^ 7,bind([[_40144], [xR]]))).
% 0.40/1.38  ncf('1.1.1.4',plain,[-(xy = xz), 263 : sdtmndtasgtdt0(xy, xR, xz), 263 : -(sdtmndtplgtdt0(xy, xR, xz)), 263 : aElement0(xy), 263 : aRewritingSystem0(xR), 263 : aElement0(xz)],extension(251 ^ 7,bind([[_47720, _47722, _47724], [xz, xR, xy]]))).
% 0.40/1.38  ncf('1.1.1.4.1',plain,[-(sdtmndtasgtdt0(xy, xR, xz))],extension(291 ^ 10)).
% 0.40/1.38  ncf('1.1.1.4.2',plain,[sdtmndtplgtdt0(xy, xR, xz), -(sdtmndtplgtdt0(xx, xR, xz)), sdtmndtplgtdt0(xx, xR, xy), aElement0(xx), aRewritingSystem0(xR), aElement0(xy), aElement0(xz)],extension(225 ^ 10,bind([[_46997, _46999, _47001, _47003], [xz, xy, xR, xx]]))).
% 0.40/1.38  ncf('1.1.1.4.2.1',plain,[sdtmndtplgtdt0(xx, xR, xz)],reduction('1.1')).
% 0.40/1.38  ncf('1.1.1.4.2.2',plain,[-(sdtmndtplgtdt0(xx, xR, xy))],lemmata('[1, 1].x')).
% 0.40/1.38  ncf('1.1.1.4.2.3',plain,[-(aElement0(xx))],extension(281 ^ 11)).
% 0.40/1.38  ncf('1.1.1.4.2.4',plain,[-(aRewritingSystem0(xR))],extension(283 ^ 11)).
% 0.40/1.38  ncf('1.1.1.4.2.5',plain,[-(aElement0(xy))],extension(285 ^ 11)).
% 0.40/1.38  ncf('1.1.1.4.2.6',plain,[-(aElement0(xz))],extension(287 ^ 11)).
% 0.40/1.38  ncf('1.1.1.4.3',plain,[-(aElement0(xy))],extension(285 ^ 8)).
% 0.40/1.38  ncf('1.1.1.4.4',plain,[-(aRewritingSystem0(xR))],extension(283 ^ 8)).
% 0.40/1.38  ncf('1.1.1.4.5',plain,[-(aElement0(xz))],extension(287 ^ 8)).
% 0.40/1.38  ncf('1.1.2',plain,[-(aElement0(xx))],extension(281 ^ 2)).
% 0.40/1.38  ncf('1.1.3',plain,[-(aRewritingSystem0(xR))],extension(283 ^ 2)).
% 0.40/1.38  ncf('1.1.4',plain,[-(aElement0(xz))],extension(287 ^ 2)).
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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