TSTP Solution File: COM012+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 0.44s 1.40s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n015.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 : 300
% 0.13/0.34 % DateTime : Fri May 19 03:37:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.44/1.40
% 0.44/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.44/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.40 %-----------------------------------------------------
% 0.44/1.40 ncf(matrix, plain, [(327 ^ _45079) ^ [] : [xx = xz], (329 ^ _45079) ^ [] : [aReductOfIn0(xz, xx, xR)], (341 ^ _45079) ^ [] : [sdtmndtplgtdt0(xx, xR, xz)], (343 ^ _45079) ^ [] : [sdtmndtasgtdt0(xx, xR, xz)], (331 ^ _45079) ^ [_54889] : [aElement0(_54889), aReductOfIn0(_54889, xx, xR), sdtmndtplgtdt0(_54889, xR, xz)], (289 ^ _45079) ^ [] : [-(xx = xy), 292 ^ _45079 : [(304 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(xx, xR, xy))], (293 ^ _45079) ^ [] : [-(aReductOfIn0(xy, xx, xR)), 297 ^ _45079 : [(298 ^ _45079) ^ [] : [-(aElement0(296 ^ []))], (300 ^ _45079) ^ [] : [-(aReductOfIn0(296 ^ [], xx, xR))], (302 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(296 ^ [], xR, xy))]]]]], (306 ^ _45079) ^ [] : [-(sdtmndtasgtdt0(xx, xR, xy))], (325 ^ _45079) ^ [] : [-(sdtmndtasgtdt0(xy, xR, xz))], (308 ^ _45079) ^ [] : [-(xy = xz), 311 ^ _45079 : [(323 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(xy, xR, xz))], (312 ^ _45079) ^ [] : [-(aReductOfIn0(xz, xy, xR)), 316 ^ _45079 : [(317 ^ _45079) ^ [] : [-(aElement0(315 ^ []))], (319 ^ _45079) ^ [] : [-(aReductOfIn0(315 ^ [], xy, xR))], (321 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(315 ^ [], xR, xz))]]]]], (2 ^ _45079) ^ [_45203] : [-(_45203 = _45203)], (4 ^ _45079) ^ [_45310, _45312] : [_45312 = _45310, -(_45310 = _45312)], (10 ^ _45079) ^ [_45514, _45516, _45518] : [-(_45518 = _45514), _45518 = _45516, _45516 = _45514], (20 ^ _45079) ^ [_45855, _45857, _45859, _45861] : [-(iLess0(_45859, _45855)), iLess0(_45861, _45857), _45861 = _45859, _45857 = _45855], (34 ^ _45079) ^ [_46271, _46273] : [-(aRewritingSystem0(_46271)), _46273 = _46271, aRewritingSystem0(_46273)], (44 ^ _45079) ^ [_46566, _46568] : [-(aElement0(_46566)), _46568 = _46566, aElement0(_46568)], (54 ^ _45079) ^ [_46917, _46919, _46921, _46923, _46925, _46927] : [-(aReductOfIn0(_46925, _46921, _46917)), aReductOfIn0(_46927, _46923, _46919), _46927 = _46925, _46923 = _46921, _46919 = _46917], (72 ^ _45079) ^ [_47526, _47528, _47530, _47532, _47534, _47536] : [-(sdtmndtplgtdt0(_47534, _47530, _47526)), sdtmndtplgtdt0(_47536, _47532, _47528), _47536 = _47534, _47532 = _47530, _47528 = _47526], (90 ^ _45079) ^ [_48115, _48117, _48119, _48121, _48123, _48125] : [-(sdtmndtasgtdt0(_48123, _48119, _48115)), sdtmndtasgtdt0(_48125, _48121, _48117), _48125 = _48123, _48121 = _48119, _48117 = _48115], (108 ^ _45079) ^ [_48670] : [aElement0(_48670), true___, -(true___)], (118 ^ _45079) ^ [_48925] : [aRewritingSystem0(_48925), true___, -(true___)], (128 ^ _45079) ^ [_49194, _49196] : [aElement0(_49196), aRewritingSystem0(_49194), 135 ^ _45079 : [(136 ^ _45079) ^ [_49416] : [aReductOfIn0(_49416, _49196, _49194), -(aElement0(_49416))]]], (142 ^ _45079) ^ [_49643, _49645] : [aElement0(_49645), aElement0(_49643), iLess0(_49645, _49643), true___, -(true___)], (160 ^ _45079) ^ [_50117, _50119, _50121] : [aElement0(_50121), aRewritingSystem0(_50119), aElement0(_50117), sdtmndtplgtdt0(_50121, _50119, _50117), true___, -(true___)], (182 ^ _45079) ^ [_50704, _50706, _50708] : [aElement0(_50708), aRewritingSystem0(_50706), aElement0(_50704), 193 ^ _45079 : [(194 ^ _45079) ^ [] : [sdtmndtplgtdt0(_50708, _50706, _50704), -(aReductOfIn0(_50704, _50708, _50706)), 202 ^ _45079 : [(203 ^ _45079) ^ [] : [-(aElement0(201 ^ [_50704, _50706, _50708]))], (205 ^ _45079) ^ [] : [-(aReductOfIn0(201 ^ [_50704, _50706, _50708], _50708, _50706))], (207 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(201 ^ [_50704, _50706, _50708], _50706, _50704))]]], (209 ^ _45079) ^ [] : [-(sdtmndtplgtdt0(_50708, _50706, _50704)), 210 ^ _45079 : [(211 ^ _45079) ^ [] : [aReductOfIn0(_50704, _50708, _50706)], (213 ^ _45079) ^ [_51635] : [aElement0(_51635), aReductOfIn0(_51635, _50708, _50706), sdtmndtplgtdt0(_51635, _50706, _50704)]]]]], (225 ^ _45079) ^ [_52056, _52058, _52060, _52062] : [-(sdtmndtplgtdt0(_52062, _52060, _52056)), sdtmndtplgtdt0(_52062, _52060, _52058), sdtmndtplgtdt0(_52058, _52060, _52056), aElement0(_52062), aRewritingSystem0(_52060), aElement0(_52058), aElement0(_52056)], (281 ^ _45079) ^ [] : [-(aElement0(xx))], (283 ^ _45079) ^ [] : [-(aRewritingSystem0(xR))], (285 ^ _45079) ^ [] : [-(aElement0(xy))], (287 ^ _45079) ^ [] : [-(aElement0(xz))], (251 ^ _45079) ^ [_52779, _52781, _52783] : [aElement0(_52783), aRewritingSystem0(_52781), aElement0(_52779), 262 ^ _45079 : [(273 ^ _45079) ^ [] : [274 ^ _45079 : [(275 ^ _45079) ^ [] : [_52783 = _52779], (277 ^ _45079) ^ [] : [sdtmndtplgtdt0(_52783, _52781, _52779)]], -(sdtmndtasgtdt0(_52783, _52781, _52779))], (263 ^ _45079) ^ [] : [sdtmndtasgtdt0(_52783, _52781, _52779), -(_52783 = _52779), -(sdtmndtplgtdt0(_52783, _52781, _52779))]]]], input).
% 0.44/1.40 ncf('1',plain,[sdtmndtplgtdt0(xx, xR, xz)],start(341 ^ 0)).
% 0.44/1.40 ncf('1.1',plain,[-(sdtmndtplgtdt0(xx, xR, xz)), sdtmndtplgtdt0(xy, xR, xz), xy = xx, xR = xR, xz = xz],extension(72 ^ 1,bind([[_47526, _47528, _47530, _47532, _47534, _47536], [xz, xz, xR, xR, xx, xy]]))).
% 0.44/1.40 ncf('1.1.1',plain,[-(sdtmndtplgtdt0(xy, xR, xz)), -(xy = xz)],extension(308 ^ 2)).
% 0.44/1.40 ncf('1.1.1.1',plain,[xy = xz, -(sdtmndtasgtdt0(xx, xR, xz)), sdtmndtasgtdt0(xx, xR, xy), xx = xx, xR = xR],extension(90 ^ 3,bind([[_48115, _48117, _48119, _48121, _48123, _48125], [xz, xy, xR, xR, xx, xx]]))).
% 0.44/1.40 ncf('1.1.1.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(343 ^ 4)).
% 0.44/1.40 ncf('1.1.1.1.2',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],extension(306 ^ 4)).
% 0.44/1.40 ncf('1.1.1.1.3',plain,[-(xx = xx)],extension(2 ^ 4,bind([[_45203], [xx]]))).
% 0.44/1.40 ncf('1.1.1.1.4',plain,[-(xR = xR)],extension(2 ^ 4,bind([[_45203], [xR]]))).
% 0.44/1.40 ncf('1.1.2',plain,[-(xy = xx), xx = xy],extension(4 ^ 2,bind([[_45310, _45312], [xy, xx]]))).
% 0.44/1.40 ncf('1.1.2.1',plain,[-(xx = xy), 304 : -(sdtmndtplgtdt0(xx, xR, xy))],extension(289 ^ 3)).
% 0.44/1.40 ncf('1.1.2.1.1',plain,[sdtmndtplgtdt0(xx, xR, xy), -(sdtmndtplgtdt0(xx, xR, xz)), sdtmndtplgtdt0(xy, xR, xz), aElement0(xx), aRewritingSystem0(xR), aElement0(xy), aElement0(xz)],extension(225 ^ 6,bind([[_52056, _52058, _52060, _52062], [xz, xy, xR, xx]]))).
% 0.44/1.40 ncf('1.1.2.1.1.1',plain,[sdtmndtplgtdt0(xx, xR, xz)],reduction('1')).
% 0.44/1.40 ncf('1.1.2.1.1.2',plain,[-(sdtmndtplgtdt0(xy, xR, xz))],lemmata('[1].x')).
% 0.44/1.40 ncf('1.1.2.1.1.3',plain,[-(aElement0(xx))],extension(281 ^ 7)).
% 0.44/1.40 ncf('1.1.2.1.1.4',plain,[-(aRewritingSystem0(xR))],extension(283 ^ 7)).
% 0.44/1.40 ncf('1.1.2.1.1.5',plain,[-(aElement0(xy))],extension(285 ^ 7)).
% 0.44/1.40 ncf('1.1.2.1.1.6',plain,[-(aElement0(xz))],extension(287 ^ 7)).
% 0.44/1.40 ncf('1.1.3',plain,[-(xR = xR)],extension(2 ^ 2,bind([[_45203], [xR]]))).
% 0.44/1.40 ncf('1.1.4',plain,[-(xz = xz)],extension(2 ^ 2,bind([[_45203], [xz]]))).
% 0.44/1.40 %-----------------------------------------------------
% 0.44/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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