TSTP Solution File: COM023+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 10:14:36 EDT 2023

% Result   : Theorem 1.56s 2.41s
% Output   : Proof 1.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 03:23:00 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 1.56/2.41  
% 1.56/2.41  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.56/2.41  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.56/2.41  %-----------------------------------------------------
% 1.56/2.41  ncf(matrix, plain, [(596 ^ _72701) ^ [] : [isConfluent0(xR)], (2 ^ _72701) ^ [_72825] : [-(_72825 = _72825)], (4 ^ _72701) ^ [_72932, _72934] : [_72934 = _72932, -(_72932 = _72934)], (10 ^ _72701) ^ [_73136, _73138, _73140] : [-(_73140 = _73136), _73140 = _73138, _73138 = _73136], (20 ^ _72701) ^ [_73505, _73507, _73509, _73511, _73513, _73515] : [-(sdtmndtplgtdt0(_73513, _73509, _73505)), sdtmndtplgtdt0(_73515, _73511, _73507), _73515 = _73513, _73511 = _73509, _73507 = _73505], (38 ^ _72701) ^ [_74086, _74088, _74090, _74092] : [-(iLess0(_74090, _74086)), iLess0(_74092, _74088), _74092 = _74090, _74088 = _74086], (52 ^ _72701) ^ [_74558, _74560, _74562, _74564, _74566, _74568] : [-(aReductOfIn0(_74566, _74562, _74558)), aReductOfIn0(_74568, _74564, _74560), _74568 = _74566, _74564 = _74562, _74560 = _74558], (70 ^ _72701) ^ [_75167, _75169, _75171, _75173, _75175, _75177] : [-(aNormalFormOfIn0(_75175, _75171, _75167)), aNormalFormOfIn0(_75177, _75173, _75169), _75177 = _75175, _75173 = _75171, _75169 = _75167], (88 ^ _72701) ^ [_75720, _75722] : [-(aRewritingSystem0(_75720)), _75722 = _75720, aRewritingSystem0(_75722)], (98 ^ _72701) ^ [_76015, _76017] : [-(isLocallyConfluent0(_76015)), _76017 = _76015, isLocallyConfluent0(_76017)], (108 ^ _72701) ^ [_76310, _76312] : [-(isTerminating0(_76310)), _76312 = _76310, isTerminating0(_76312)], (118 ^ _72701) ^ [_76605, _76607] : [-(aElement0(_76605)), _76607 = _76605, aElement0(_76607)], (146 ^ _72701) ^ [_77489, _77491] : [-(isConfluent0(_77489)), _77491 = _77489, isConfluent0(_77491)], (128 ^ _72701) ^ [_76956, _76958, _76960, _76962, _76964, _76966] : [-(sdtmndtasgtdt0(_76964, _76960, _76956)), sdtmndtasgtdt0(_76966, _76962, _76958), _76966 = _76964, _76962 = _76960, _76958 = _76956], (156 ^ _72701) ^ [_77794] : [aElement0(_77794), true___, -(true___)], (166 ^ _72701) ^ [_78049] : [aRewritingSystem0(_78049), true___, -(true___)], (176 ^ _72701) ^ [_78318, _78320] : [aElement0(_78320), aRewritingSystem0(_78318), 183 ^ _72701 : [(184 ^ _72701) ^ [_78540] : [aReductOfIn0(_78540, _78320, _78318), -(aElement0(_78540))]]], (190 ^ _72701) ^ [_78767, _78769] : [aElement0(_78769), aElement0(_78767), iLess0(_78769, _78767), true___, -(true___)], (208 ^ _72701) ^ [_79241, _79243, _79245] : [aElement0(_79245), aRewritingSystem0(_79243), aElement0(_79241), sdtmndtplgtdt0(_79245, _79243, _79241), true___, -(true___)], (230 ^ _72701) ^ [_79828, _79830, _79832] : [aElement0(_79832), aRewritingSystem0(_79830), aElement0(_79828), 241 ^ _72701 : [(242 ^ _72701) ^ [] : [sdtmndtplgtdt0(_79832, _79830, _79828), -(aReductOfIn0(_79828, _79832, _79830)), 250 ^ _72701 : [(251 ^ _72701) ^ [] : [-(aElement0(249 ^ [_79828, _79830, _79832]))], (253 ^ _72701) ^ [] : [-(aReductOfIn0(249 ^ [_79828, _79830, _79832], _79832, _79830))], (255 ^ _72701) ^ [] : [-(sdtmndtplgtdt0(249 ^ [_79828, _79830, _79832], _79830, _79828))]]], (257 ^ _72701) ^ [] : [-(sdtmndtplgtdt0(_79832, _79830, _79828)), 258 ^ _72701 : [(259 ^ _72701) ^ [] : [aReductOfIn0(_79828, _79832, _79830)], (261 ^ _72701) ^ [_80759] : [aElement0(_80759), aReductOfIn0(_80759, _79832, _79830), sdtmndtplgtdt0(_80759, _79830, _79828)]]]]], (273 ^ _72701) ^ [_81180, _81182, _81184, _81186] : [-(sdtmndtplgtdt0(_81186, _81184, _81180)), sdtmndtplgtdt0(_81186, _81184, _81182), sdtmndtplgtdt0(_81182, _81184, _81180), aElement0(_81186), aRewritingSystem0(_81184), aElement0(_81182), aElement0(_81180)], (299 ^ _72701) ^ [_81903, _81905, _81907] : [aElement0(_81907), aRewritingSystem0(_81905), aElement0(_81903), 310 ^ _72701 : [(321 ^ _72701) ^ [] : [322 ^ _72701 : [(323 ^ _72701) ^ [] : [_81907 = _81903], (325 ^ _72701) ^ [] : [sdtmndtplgtdt0(_81907, _81905, _81903)]], -(sdtmndtasgtdt0(_81907, _81905, _81903))], (311 ^ _72701) ^ [] : [sdtmndtasgtdt0(_81907, _81905, _81903), -(_81907 = _81903), -(sdtmndtplgtdt0(_81907, _81905, _81903))]]], (329 ^ _72701) ^ [_82761, _82763, _82765, _82767] : [-(sdtmndtasgtdt0(_82767, _82765, _82761)), sdtmndtasgtdt0(_82767, _82765, _82763), sdtmndtasgtdt0(_82763, _82765, _82761), aElement0(_82767), aRewritingSystem0(_82765), aElement0(_82763), aElement0(_82761)], (355 ^ _72701) ^ [_83456] : [aRewritingSystem0(_83456), 358 ^ _72701 : [(390 ^ _72701) ^ [] : [-(isConfluent0(_83456)), 394 ^ _72701 : [(395 ^ _72701) ^ [] : [-(aElement0(391 ^ [_83456]))], (397 ^ _72701) ^ [] : [-(aElement0(392 ^ [_83456]))], (399 ^ _72701) ^ [] : [-(aElement0(393 ^ [_83456]))], (401 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_83456], _83456, 392 ^ [_83456]))], (403 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_83456], _83456, 393 ^ [_83456]))], (405 ^ _72701) ^ [_85336] : [aElement0(_85336), sdtmndtasgtdt0(392 ^ [_83456], _83456, _85336), sdtmndtasgtdt0(393 ^ [_83456], _83456, _85336)]]], (359 ^ _72701) ^ [] : [isConfluent0(_83456), 362 ^ _72701 : [(363 ^ _72701) ^ [_83774, _83776, _83778] : [383 ^ _72701 : [(384 ^ _72701) ^ [] : [-(aElement0(382 ^ [_83456, _83774, _83776, _83778]))], (386 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_83776, _83456, 382 ^ [_83456, _83774, _83776, _83778]))], (388 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_83774, _83456, 382 ^ [_83456, _83774, _83776, _83778]))]], aElement0(_83778), aElement0(_83776), aElement0(_83774), sdtmndtasgtdt0(_83778, _83456, _83776), sdtmndtasgtdt0(_83778, _83456, _83774)]]]]], (417 ^ _72701) ^ [_85709] : [aRewritingSystem0(_85709), 420 ^ _72701 : [(452 ^ _72701) ^ [] : [-(isLocallyConfluent0(_85709)), 456 ^ _72701 : [(457 ^ _72701) ^ [] : [-(aElement0(453 ^ [_85709]))], (459 ^ _72701) ^ [] : [-(aElement0(454 ^ [_85709]))], (461 ^ _72701) ^ [] : [-(aElement0(455 ^ [_85709]))], (463 ^ _72701) ^ [] : [-(aReductOfIn0(454 ^ [_85709], 453 ^ [_85709], _85709))], (465 ^ _72701) ^ [] : [-(aReductOfIn0(455 ^ [_85709], 453 ^ [_85709], _85709))], (467 ^ _72701) ^ [_87589] : [aElement0(_87589), sdtmndtasgtdt0(454 ^ [_85709], _85709, _87589), sdtmndtasgtdt0(455 ^ [_85709], _85709, _87589)]]], (421 ^ _72701) ^ [] : [isLocallyConfluent0(_85709), 424 ^ _72701 : [(425 ^ _72701) ^ [_86027, _86029, _86031] : [445 ^ _72701 : [(446 ^ _72701) ^ [] : [-(aElement0(444 ^ [_85709, _86027, _86029, _86031]))], (448 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_86029, _85709, 444 ^ [_85709, _86027, _86029, _86031]))], (450 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_86027, _85709, 444 ^ [_85709, _86027, _86029, _86031]))]], aElement0(_86031), aElement0(_86029), aElement0(_86027), aReductOfIn0(_86029, _86031, _85709), aReductOfIn0(_86027, _86031, _85709)]]]]], (479 ^ _72701) ^ [_87962] : [aRewritingSystem0(_87962), 482 ^ _72701 : [(501 ^ _72701) ^ [] : [504 ^ _72701 : [(505 ^ _72701) ^ [] : [-(aElement0(502 ^ [_87962]))], (507 ^ _72701) ^ [] : [-(aElement0(503 ^ [_87962]))], (509 ^ _72701) ^ [] : [-(sdtmndtplgtdt0(502 ^ [_87962], _87962, 503 ^ [_87962]))], (511 ^ _72701) ^ [] : [iLess0(503 ^ [_87962], 502 ^ [_87962])]], -(isTerminating0(_87962))], (483 ^ _72701) ^ [] : [isTerminating0(_87962), 486 ^ _72701 : [(487 ^ _72701) ^ [_88231, _88233] : [aElement0(_88233), aElement0(_88231), sdtmndtplgtdt0(_88233, _87962, _88231), -(iLess0(_88231, _88233))]]]]], (515 ^ _72701) ^ [_89135, _89137] : [aElement0(_89137), aRewritingSystem0(_89135), 522 ^ _72701 : [(523 ^ _72701) ^ [_89407] : [aNormalFormOfIn0(_89407, _89137, _89135), 526 ^ _72701 : [(527 ^ _72701) ^ [] : [-(aElement0(_89407))], (529 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_89137, _89135, _89407))], (531 ^ _72701) ^ [_89683] : [aReductOfIn0(_89683, _89407, _89135)]]], (533 ^ _72701) ^ [_89758] : [-(aNormalFormOfIn0(_89758, _89137, _89135)), aElement0(_89758), sdtmndtasgtdt0(_89137, _89135, _89758), -(aReductOfIn0(542 ^ [_89135, _89137, _89758], _89758, _89135))]]], (548 ^ _72701) ^ [_90230] : [aRewritingSystem0(_90230), isTerminating0(_90230), 555 ^ _72701 : [(556 ^ _72701) ^ [_90449] : [aElement0(_90449), -(aNormalFormOfIn0(559 ^ [_90230, _90449], _90449, _90230))]]], (563 ^ _72701) ^ [] : [-(aRewritingSystem0(xR))], (565 ^ _72701) ^ [] : [-(isLocallyConfluent0(xR))], (567 ^ _72701) ^ [] : [-(isTerminating0(xR))], (569 ^ _72701) ^ [_90881, _90883, _90885] : [589 ^ _72701 : [(590 ^ _72701) ^ [] : [-(aElement0(588 ^ [_90881, _90883, _90885]))], (592 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_90883, xR, 588 ^ [_90881, _90883, _90885]))], (594 ^ _72701) ^ [] : [-(sdtmndtasgtdt0(_90881, xR, 588 ^ [_90881, _90883, _90885]))]], aElement0(_90885), aElement0(_90883), aElement0(_90881), sdtmndtasgtdt0(_90885, xR, _90883), sdtmndtasgtdt0(_90885, xR, _90881)]], input).
% 1.56/2.41  ncf('1',plain,[isConfluent0(xR)],start(596 ^ 0)).
% 1.56/2.41  ncf('1.1',plain,[-(isConfluent0(xR)), 395 : -(aElement0(391 ^ [xR])), 390 : aRewritingSystem0(xR)],extension(355 ^ 1,bind([[_83456], [xR]]))).
% 1.56/2.41  ncf('1.1.1',plain,[aElement0(391 ^ [xR]), 590 : -(aElement0(588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]])), 590 : aElement0(392 ^ [xR]), 590 : aElement0(393 ^ [xR]), 590 : sdtmndtasgtdt0(391 ^ [xR], xR, 392 ^ [xR]), 590 : sdtmndtasgtdt0(391 ^ [xR], xR, 393 ^ [xR])],extension(569 ^ 6,bind([[_90881, _90883, _90885], [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]]))).
% 1.56/2.41  ncf('1.1.1.1',plain,[aElement0(588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]), sdtmndtasgtdt0(392 ^ [xR], xR, 588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]), sdtmndtasgtdt0(393 ^ [xR], xR, 588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]])],extension(405 ^ 9,bind([[_85336], [588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]]]))).
% 1.56/2.41  ncf('1.1.1.1.1',plain,[-(sdtmndtasgtdt0(392 ^ [xR], xR, 588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]))],extension(592 ^ 10)).
% 1.56/2.41  ncf('1.1.1.1.2',plain,[-(sdtmndtasgtdt0(393 ^ [xR], xR, 588 ^ [393 ^ [xR], 392 ^ [xR], 391 ^ [xR]]))],extension(594 ^ 10)).
% 1.56/2.41  ncf('1.1.1.2',plain,[-(aElement0(392 ^ [xR]))],extension(397 ^ 7)).
% 1.56/2.41  ncf('1.1.1.3',plain,[-(aElement0(393 ^ [xR]))],extension(399 ^ 7)).
% 1.56/2.41  ncf('1.1.1.4',plain,[-(sdtmndtasgtdt0(391 ^ [xR], xR, 392 ^ [xR])), sdtmndtasgtdt0(391 ^ [xR], xR, 392 ^ [xR]), 391 ^ [xR] = 391 ^ [xR], xR = xR, 392 ^ [xR] = 392 ^ [xR]],extension(128 ^ 7,bind([[_76956, _76958, _76960, _76962, _76964, _76966], [392 ^ [xR], 392 ^ [xR], xR, xR, 391 ^ [xR], 391 ^ [xR]]]))).
% 1.56/2.41  ncf('1.1.1.4.1',plain,[-(sdtmndtasgtdt0(391 ^ [xR], xR, 392 ^ [xR]))],extension(401 ^ 8)).
% 1.56/2.41  ncf('1.1.1.4.2',plain,[-(391 ^ [xR] = 391 ^ [xR])],extension(2 ^ 8,bind([[_72825], [391 ^ [xR]]]))).
% 1.56/2.41  ncf('1.1.1.4.3',plain,[-(xR = xR)],extension(2 ^ 8,bind([[_72825], [xR]]))).
% 1.56/2.41  ncf('1.1.1.4.4',plain,[-(392 ^ [xR] = 392 ^ [xR])],extension(2 ^ 8,bind([[_72825], [392 ^ [xR]]]))).
% 1.56/2.41  ncf('1.1.1.5',plain,[-(sdtmndtasgtdt0(391 ^ [xR], xR, 393 ^ [xR]))],extension(403 ^ 7)).
% 1.56/2.41  ncf('1.1.2',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 1.56/2.41  %-----------------------------------------------------
% 1.56/2.41  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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