TSTP Solution File: COM018+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 10:14:33 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n023.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 03:36:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(628 ^ _72344) ^ [_92325] : [aNormalFormOfIn0(_92325, xw, xR)], (2 ^ _72344) ^ [_72468] : [-(_72468 = _72468)], (4 ^ _72344) ^ [_72575, _72577] : [_72577 = _72575, -(_72575 = _72577)], (10 ^ _72344) ^ [_72779, _72781, _72783] : [-(_72783 = _72779), _72783 = _72781, _72781 = _72779], (20 ^ _72344) ^ [_73092, _73094] : [-(isConfluent0(_73092)), _73094 = _73092, isConfluent0(_73094)], (30 ^ _72344) ^ [_73387, _73389] : [-(aRewritingSystem0(_73387)), _73389 = _73387, aRewritingSystem0(_73389)], (40 ^ _72344) ^ [_73682, _73684] : [-(isLocallyConfluent0(_73682)), _73684 = _73682, isLocallyConfluent0(_73684)], (50 ^ _72344) ^ [_73977, _73979] : [-(isTerminating0(_73977)), _73979 = _73977, isTerminating0(_73979)], (60 ^ _72344) ^ [_74300, _74302, _74304, _74306] : [-(iLess0(_74304, _74300)), iLess0(_74306, _74302), _74306 = _74304, _74302 = _74300], (74 ^ _72344) ^ [_74772, _74774, _74776, _74778, _74780, _74782] : [-(sdtmndtplgtdt0(_74780, _74776, _74772)), sdtmndtplgtdt0(_74782, _74778, _74774), _74782 = _74780, _74778 = _74776, _74774 = _74772], (92 ^ _72344) ^ [_75381, _75383, _75385, _75387, _75389, _75391] : [-(aReductOfIn0(_75389, _75385, _75381)), aReductOfIn0(_75391, _75387, _75383), _75391 = _75389, _75387 = _75385, _75383 = _75381], (110 ^ _72344) ^ [_75934, _75936] : [-(aElement0(_75934)), _75936 = _75934, aElement0(_75936)], (120 ^ _72344) ^ [_76285, _76287, _76289, _76291, _76293, _76295] : [-(sdtmndtasgtdt0(_76293, _76289, _76285)), sdtmndtasgtdt0(_76295, _76291, _76287), _76295 = _76293, _76291 = _76289, _76287 = _76285], (138 ^ _72344) ^ [_76874, _76876, _76878, _76880, _76882, _76884] : [-(aNormalFormOfIn0(_76882, _76878, _76874)), aNormalFormOfIn0(_76884, _76880, _76876), _76884 = _76882, _76880 = _76878, _76876 = _76874], (156 ^ _72344) ^ [_77437] : [aElement0(_77437), true___, -(true___)], (166 ^ _72344) ^ [_77692] : [aRewritingSystem0(_77692), true___, -(true___)], (176 ^ _72344) ^ [_77961, _77963] : [aElement0(_77963), aRewritingSystem0(_77961), 183 ^ _72344 : [(184 ^ _72344) ^ [_78183] : [aReductOfIn0(_78183, _77963, _77961), -(aElement0(_78183))]]], (190 ^ _72344) ^ [_78410, _78412] : [aElement0(_78412), aElement0(_78410), iLess0(_78412, _78410), true___, -(true___)], (208 ^ _72344) ^ [_78884, _78886, _78888] : [aElement0(_78888), aRewritingSystem0(_78886), aElement0(_78884), sdtmndtplgtdt0(_78888, _78886, _78884), true___, -(true___)], (230 ^ _72344) ^ [_79471, _79473, _79475] : [aElement0(_79475), aRewritingSystem0(_79473), aElement0(_79471), 241 ^ _72344 : [(242 ^ _72344) ^ [] : [sdtmndtplgtdt0(_79475, _79473, _79471), -(aReductOfIn0(_79471, _79475, _79473)), 250 ^ _72344 : [(251 ^ _72344) ^ [] : [-(aElement0(249 ^ [_79471, _79473, _79475]))], (253 ^ _72344) ^ [] : [-(aReductOfIn0(249 ^ [_79471, _79473, _79475], _79475, _79473))], (255 ^ _72344) ^ [] : [-(sdtmndtplgtdt0(249 ^ [_79471, _79473, _79475], _79473, _79471))]]], (257 ^ _72344) ^ [] : [-(sdtmndtplgtdt0(_79475, _79473, _79471)), 258 ^ _72344 : [(259 ^ _72344) ^ [] : [aReductOfIn0(_79471, _79475, _79473)], (261 ^ _72344) ^ [_80402] : [aElement0(_80402), aReductOfIn0(_80402, _79475, _79473), sdtmndtplgtdt0(_80402, _79473, _79471)]]]]], (273 ^ _72344) ^ [_80823, _80825, _80827, _80829] : [-(sdtmndtplgtdt0(_80829, _80827, _80823)), sdtmndtplgtdt0(_80829, _80827, _80825), sdtmndtplgtdt0(_80825, _80827, _80823), aElement0(_80829), aRewritingSystem0(_80827), aElement0(_80825), aElement0(_80823)], (299 ^ _72344) ^ [_81546, _81548, _81550] : [aElement0(_81550), aRewritingSystem0(_81548), aElement0(_81546), 310 ^ _72344 : [(321 ^ _72344) ^ [] : [322 ^ _72344 : [(323 ^ _72344) ^ [] : [_81550 = _81546], (325 ^ _72344) ^ [] : [sdtmndtplgtdt0(_81550, _81548, _81546)]], -(sdtmndtasgtdt0(_81550, _81548, _81546))], (311 ^ _72344) ^ [] : [sdtmndtasgtdt0(_81550, _81548, _81546), -(_81550 = _81546), -(sdtmndtplgtdt0(_81550, _81548, _81546))]]], (329 ^ _72344) ^ [_82404, _82406, _82408, _82410] : [-(sdtmndtasgtdt0(_82410, _82408, _82404)), sdtmndtasgtdt0(_82410, _82408, _82406), sdtmndtasgtdt0(_82406, _82408, _82404), aElement0(_82410), aRewritingSystem0(_82408), aElement0(_82406), aElement0(_82404)], (355 ^ _72344) ^ [_83099] : [aRewritingSystem0(_83099), 358 ^ _72344 : [(390 ^ _72344) ^ [] : [-(isConfluent0(_83099)), 394 ^ _72344 : [(395 ^ _72344) ^ [] : [-(aElement0(391 ^ [_83099]))], (397 ^ _72344) ^ [] : [-(aElement0(392 ^ [_83099]))], (399 ^ _72344) ^ [] : [-(aElement0(393 ^ [_83099]))], (401 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_83099], _83099, 392 ^ [_83099]))], (403 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_83099], _83099, 393 ^ [_83099]))], (405 ^ _72344) ^ [_84979] : [aElement0(_84979), sdtmndtasgtdt0(392 ^ [_83099], _83099, _84979), sdtmndtasgtdt0(393 ^ [_83099], _83099, _84979)]]], (359 ^ _72344) ^ [] : [isConfluent0(_83099), 362 ^ _72344 : [(363 ^ _72344) ^ [_83417, _83419, _83421] : [383 ^ _72344 : [(384 ^ _72344) ^ [] : [-(aElement0(382 ^ [_83099, _83417, _83419, _83421]))], (386 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_83419, _83099, 382 ^ [_83099, _83417, _83419, _83421]))], (388 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_83417, _83099, 382 ^ [_83099, _83417, _83419, _83421]))]], aElement0(_83421), aElement0(_83419), aElement0(_83417), sdtmndtasgtdt0(_83421, _83099, _83419), sdtmndtasgtdt0(_83421, _83099, _83417)]]]]], (417 ^ _72344) ^ [_85352] : [aRewritingSystem0(_85352), 420 ^ _72344 : [(452 ^ _72344) ^ [] : [-(isLocallyConfluent0(_85352)), 456 ^ _72344 : [(457 ^ _72344) ^ [] : [-(aElement0(453 ^ [_85352]))], (459 ^ _72344) ^ [] : [-(aElement0(454 ^ [_85352]))], (461 ^ _72344) ^ [] : [-(aElement0(455 ^ [_85352]))], (463 ^ _72344) ^ [] : [-(aReductOfIn0(454 ^ [_85352], 453 ^ [_85352], _85352))], (465 ^ _72344) ^ [] : [-(aReductOfIn0(455 ^ [_85352], 453 ^ [_85352], _85352))], (467 ^ _72344) ^ [_87232] : [aElement0(_87232), sdtmndtasgtdt0(454 ^ [_85352], _85352, _87232), sdtmndtasgtdt0(455 ^ [_85352], _85352, _87232)]]], (421 ^ _72344) ^ [] : [isLocallyConfluent0(_85352), 424 ^ _72344 : [(425 ^ _72344) ^ [_85670, _85672, _85674] : [445 ^ _72344 : [(446 ^ _72344) ^ [] : [-(aElement0(444 ^ [_85352, _85670, _85672, _85674]))], (448 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_85672, _85352, 444 ^ [_85352, _85670, _85672, _85674]))], (450 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_85670, _85352, 444 ^ [_85352, _85670, _85672, _85674]))]], aElement0(_85674), aElement0(_85672), aElement0(_85670), aReductOfIn0(_85672, _85674, _85352), aReductOfIn0(_85670, _85674, _85352)]]]]], (479 ^ _72344) ^ [_87605] : [aRewritingSystem0(_87605), 482 ^ _72344 : [(501 ^ _72344) ^ [] : [504 ^ _72344 : [(505 ^ _72344) ^ [] : [-(aElement0(502 ^ [_87605]))], (507 ^ _72344) ^ [] : [-(aElement0(503 ^ [_87605]))], (509 ^ _72344) ^ [] : [-(sdtmndtplgtdt0(502 ^ [_87605], _87605, 503 ^ [_87605]))], (511 ^ _72344) ^ [] : [iLess0(503 ^ [_87605], 502 ^ [_87605])]], -(isTerminating0(_87605))], (483 ^ _72344) ^ [] : [isTerminating0(_87605), 486 ^ _72344 : [(487 ^ _72344) ^ [_87874, _87876] : [aElement0(_87876), aElement0(_87874), sdtmndtplgtdt0(_87876, _87605, _87874), -(iLess0(_87874, _87876))]]]]], (515 ^ _72344) ^ [_88778, _88780] : [aElement0(_88780), aRewritingSystem0(_88778), 522 ^ _72344 : [(523 ^ _72344) ^ [_89050] : [aNormalFormOfIn0(_89050, _88780, _88778), 526 ^ _72344 : [(527 ^ _72344) ^ [] : [-(aElement0(_89050))], (529 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_88780, _88778, _89050))], (531 ^ _72344) ^ [_89326] : [aReductOfIn0(_89326, _89050, _88778)]]], (533 ^ _72344) ^ [_89401] : [-(aNormalFormOfIn0(_89401, _88780, _88778)), aElement0(_89401), sdtmndtasgtdt0(_88780, _88778, _89401), -(aReductOfIn0(542 ^ [_88778, _88780, _89401], _89401, _88778))]]], (548 ^ _72344) ^ [_89873] : [aRewritingSystem0(_89873), isTerminating0(_89873), 555 ^ _72344 : [(556 ^ _72344) ^ [_90092] : [aElement0(_90092), -(aNormalFormOfIn0(559 ^ [_89873, _90092], _90092, _89873))]]], (563 ^ _72344) ^ [] : [-(aRewritingSystem0(xR))], (565 ^ _72344) ^ [] : [-(isLocallyConfluent0(xR))], (567 ^ _72344) ^ [] : [-(isTerminating0(xR))], (569 ^ _72344) ^ [] : [-(aElement0(xa))], (571 ^ _72344) ^ [] : [-(aElement0(xb))], (573 ^ _72344) ^ [] : [-(aElement0(xc))], (606 ^ _72344) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xb))], (608 ^ _72344) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xc))], (610 ^ _72344) ^ [] : [-(aElement0(xu))], (612 ^ _72344) ^ [] : [-(aReductOfIn0(xu, xa, xR))], (614 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(xu, xR, xb))], (616 ^ _72344) ^ [] : [-(aElement0(xv))], (618 ^ _72344) ^ [] : [-(aReductOfIn0(xv, xa, xR))], (620 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(xv, xR, xc))], (622 ^ _72344) ^ [] : [-(aElement0(xw))], (624 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(xu, xR, xw))], (626 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(xv, xR, xw))], (575 ^ _72344) ^ [_90707, _90709, _90711] : [iLess0(_90711, xa), 599 ^ _72344 : [(600 ^ _72344) ^ [] : [-(aElement0(598 ^ [_90707, _90709, _90711]))], (602 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_90709, xR, 598 ^ [_90707, _90709, _90711]))], (604 ^ _72344) ^ [] : [-(sdtmndtasgtdt0(_90707, xR, 598 ^ [_90707, _90709, _90711]))]], aElement0(_90711), aElement0(_90709), aElement0(_90707), sdtmndtasgtdt0(_90711, xR, _90709), sdtmndtasgtdt0(_90711, xR, _90707)]], input).
% 0.33/1.39  ncf('1',plain,[aNormalFormOfIn0(559 ^ [xR, xw], xw, xR)],start(628 ^ 0,bind([[_92325], [559 ^ [xR, xw]]]))).
% 0.33/1.39  ncf('1.1',plain,[-(aNormalFormOfIn0(559 ^ [xR, xw], xw, xR)), 556 : aElement0(xw), 556 : aRewritingSystem0(xR), 556 : isTerminating0(xR)],extension(548 ^ 1,bind([[_89873, _90092], [xR, xw]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(aElement0(xw))],extension(622 ^ 4)).
% 0.33/1.39  ncf('1.1.2',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 0.33/1.39  ncf('1.1.3',plain,[-(isTerminating0(xR))],extension(567 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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