TSTP Solution File: NUM468+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM468+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:44:42 EDT 2023
% Result : Theorem 0.65s 1.38s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM468+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 16:32:00 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.65/1.38
% 0.65/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.65/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/1.38 %-----------------------------------------------------
% 0.65/1.38 ncf(matrix, plain, [(662 ^ _90068) ^ [] : [xl = sz00], (664 ^ _90068) ^ [] : [-(aNaturalNumber0(sdtsldt0(xm, xl)))], (666 ^ _90068) ^ [] : [-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))], (668 ^ _90068) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xl)))], (670 ^ _90068) ^ [] : [-(xn = sdtasdt0(xl, sdtsldt0(xn, xl)))], (672 ^ _90068) ^ [] : [sdtpldt0(xm, xn) = sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))], (72 ^ _90068) ^ [_92483, _92485, _92487, _92489] : [-(sdtmndt0(_92489, _92485) = sdtmndt0(_92487, _92483)), _92489 = _92487, _92485 = _92483], (82 ^ _90068) ^ [_92842, _92844, _92846, _92848] : [-(sdtasdt0(_92848, _92844) = sdtasdt0(_92846, _92842)), _92848 = _92846, _92844 = _92842], (92 ^ _90068) ^ [_93201, _93203, _93205, _93207] : [-(sdtpldt0(_93207, _93203) = sdtpldt0(_93205, _93201)), _93207 = _93205, _93203 = _93201], (102 ^ _90068) ^ [_93540, _93542, _93544, _93546] : [-(sdtsldt0(_93546, _93542) = sdtsldt0(_93544, _93540)), _93546 = _93544, _93542 = _93540], (2 ^ _90068) ^ [_90212] : [-(_90212 = _90212)], (4 ^ _90068) ^ [_90319, _90321] : [_90321 = _90319, -(_90319 = _90321)], (10 ^ _90068) ^ [_90523, _90525, _90527] : [-(_90527 = _90523), _90527 = _90525, _90525 = _90523], (20 ^ _90068) ^ [_90864, _90866, _90868, _90870] : [-(sdtlseqdt0(_90868, _90864)), sdtlseqdt0(_90870, _90866), _90870 = _90868, _90866 = _90864], (34 ^ _90068) ^ [_91308, _91310, _91312, _91314] : [-(iLess0(_91312, _91308)), iLess0(_91314, _91310), _91314 = _91312, _91310 = _91308], (62 ^ _90068) ^ [_92148, _92150] : [-(aNaturalNumber0(_92148)), _92150 = _92148, aNaturalNumber0(_92150)], (48 ^ _90068) ^ [_91752, _91754, _91756, _91758] : [-(doDivides0(_91756, _91752)), doDivides0(_91758, _91754), _91758 = _91756, _91754 = _91752], (112 ^ _90068) ^ [_93871] : [aNaturalNumber0(_93871), true___, -(true___)], (122 ^ _90068) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _90068) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _90068) ^ [] : [sz10 = sz00], (128 ^ _90068) ^ [_94300, _94302] : [-(aNaturalNumber0(sdtpldt0(_94302, _94300))), aNaturalNumber0(_94302), aNaturalNumber0(_94300)], (138 ^ _90068) ^ [_94599, _94601] : [-(aNaturalNumber0(sdtasdt0(_94601, _94599))), aNaturalNumber0(_94601), aNaturalNumber0(_94599)], (148 ^ _90068) ^ [_94898, _94900] : [-(sdtpldt0(_94900, _94898) = sdtpldt0(_94898, _94900)), aNaturalNumber0(_94900), aNaturalNumber0(_94898)], (158 ^ _90068) ^ [_95219, _95221, _95223] : [-(sdtpldt0(sdtpldt0(_95223, _95221), _95219) = sdtpldt0(_95223, sdtpldt0(_95221, _95219))), aNaturalNumber0(_95223), aNaturalNumber0(_95221), aNaturalNumber0(_95219)], (172 ^ _90068) ^ [_95625] : [aNaturalNumber0(_95625), 175 ^ _90068 : [(176 ^ _90068) ^ [] : [-(sdtpldt0(_95625, sz00) = _95625)], (178 ^ _90068) ^ [] : [-(_95625 = sdtpldt0(sz00, _95625))]]], (180 ^ _90068) ^ [_95912, _95914] : [-(sdtasdt0(_95914, _95912) = sdtasdt0(_95912, _95914)), aNaturalNumber0(_95914), aNaturalNumber0(_95912)], (190 ^ _90068) ^ [_96233, _96235, _96237] : [-(sdtasdt0(sdtasdt0(_96237, _96235), _96233) = sdtasdt0(_96237, sdtasdt0(_96235, _96233))), aNaturalNumber0(_96237), aNaturalNumber0(_96235), aNaturalNumber0(_96233)], (204 ^ _90068) ^ [_96639] : [aNaturalNumber0(_96639), 207 ^ _90068 : [(208 ^ _90068) ^ [] : [-(sdtasdt0(_96639, sz10) = _96639)], (210 ^ _90068) ^ [] : [-(_96639 = sdtasdt0(sz10, _96639))]]], (212 ^ _90068) ^ [_96912] : [aNaturalNumber0(_96912), 215 ^ _90068 : [(216 ^ _90068) ^ [] : [-(sdtasdt0(_96912, sz00) = sz00)], (218 ^ _90068) ^ [] : [-(sz00 = sdtasdt0(sz00, _96912))]]], (220 ^ _90068) ^ [_97213, _97215, _97217] : [231 ^ _90068 : [(232 ^ _90068) ^ [] : [-(sdtasdt0(_97217, sdtpldt0(_97215, _97213)) = sdtpldt0(sdtasdt0(_97217, _97215), sdtasdt0(_97217, _97213)))], (234 ^ _90068) ^ [] : [-(sdtasdt0(sdtpldt0(_97215, _97213), _97217) = sdtpldt0(sdtasdt0(_97215, _97217), sdtasdt0(_97213, _97217)))]], aNaturalNumber0(_97217), aNaturalNumber0(_97215), aNaturalNumber0(_97213)], (236 ^ _90068) ^ [_97760, _97762, _97764] : [249 ^ _90068 : [(250 ^ _90068) ^ [] : [sdtpldt0(_97764, _97762) = sdtpldt0(_97764, _97760)], (252 ^ _90068) ^ [] : [sdtpldt0(_97762, _97764) = sdtpldt0(_97760, _97764)]], -(_97762 = _97760), aNaturalNumber0(_97764), aNaturalNumber0(_97762), aNaturalNumber0(_97760)], (256 ^ _90068) ^ [_98337] : [aNaturalNumber0(_98337), -(_98337 = sz00), 263 ^ _90068 : [(264 ^ _90068) ^ [_98599, _98601] : [aNaturalNumber0(_98601), aNaturalNumber0(_98599), 273 ^ _90068 : [(274 ^ _90068) ^ [] : [sdtasdt0(_98337, _98601) = sdtasdt0(_98337, _98599)], (276 ^ _90068) ^ [] : [sdtasdt0(_98601, _98337) = sdtasdt0(_98599, _98337)]], -(_98601 = _98599)]]], (280 ^ _90068) ^ [_99110, _99112] : [aNaturalNumber0(_99112), aNaturalNumber0(_99110), sdtpldt0(_99112, _99110) = sz00, 291 ^ _90068 : [(292 ^ _90068) ^ [] : [-(_99112 = sz00)], (294 ^ _90068) ^ [] : [-(_99110 = sz00)]]], (296 ^ _90068) ^ [_99577, _99579] : [aNaturalNumber0(_99579), aNaturalNumber0(_99577), sdtasdt0(_99579, _99577) = sz00, -(_99579 = sz00), -(_99577 = sz00)], (314 ^ _90068) ^ [_100059, _100061] : [aNaturalNumber0(_100061), aNaturalNumber0(_100059), 321 ^ _90068 : [(322 ^ _90068) ^ [] : [sdtlseqdt0(_100061, _100059), 326 ^ _90068 : [(327 ^ _90068) ^ [] : [-(aNaturalNumber0(325 ^ [_100059, _100061]))], (329 ^ _90068) ^ [] : [-(sdtpldt0(_100061, 325 ^ [_100059, _100061]) = _100059)]]], (331 ^ _90068) ^ [] : [-(sdtlseqdt0(_100061, _100059)), 332 ^ _90068 : [(333 ^ _90068) ^ [_100619] : [aNaturalNumber0(_100619), sdtpldt0(_100061, _100619) = _100059]]]]], (341 ^ _90068) ^ [_100902, _100904] : [aNaturalNumber0(_100904), aNaturalNumber0(_100902), sdtlseqdt0(_100904, _100902), 352 ^ _90068 : [(353 ^ _90068) ^ [_101249] : [_101249 = sdtmndt0(_100902, _100904), 356 ^ _90068 : [(357 ^ _90068) ^ [] : [-(aNaturalNumber0(_101249))], (359 ^ _90068) ^ [] : [-(sdtpldt0(_100904, _101249) = _100902)]]], (361 ^ _90068) ^ [_101508] : [-(_101508 = sdtmndt0(_100902, _100904)), aNaturalNumber0(_101508), sdtpldt0(_100904, _101508) = _100902]]], (371 ^ _90068) ^ [_101830] : [aNaturalNumber0(_101830), -(sdtlseqdt0(_101830, _101830))], (377 ^ _90068) ^ [_102032, _102034] : [aNaturalNumber0(_102034), aNaturalNumber0(_102032), -(_102034 = _102032), sdtlseqdt0(_102034, _102032), sdtlseqdt0(_102032, _102034)], (395 ^ _90068) ^ [_102521, _102523, _102525] : [aNaturalNumber0(_102525), aNaturalNumber0(_102523), aNaturalNumber0(_102521), -(sdtlseqdt0(_102525, _102521)), sdtlseqdt0(_102525, _102523), sdtlseqdt0(_102523, _102521)], (417 ^ _90068) ^ [_103107, _103109] : [aNaturalNumber0(_103109), aNaturalNumber0(_103107), -(sdtlseqdt0(_103109, _103107)), 428 ^ _90068 : [(429 ^ _90068) ^ [] : [_103107 = _103109], (431 ^ _90068) ^ [] : [-(sdtlseqdt0(_103107, _103109))]]], (433 ^ _90068) ^ [_103570, _103572] : [aNaturalNumber0(_103572), aNaturalNumber0(_103570), -(_103572 = _103570), sdtlseqdt0(_103572, _103570), 448 ^ _90068 : [(449 ^ _90068) ^ [_104014] : [aNaturalNumber0(_104014), 452 ^ _90068 : [(453 ^ _90068) ^ [] : [sdtpldt0(_104014, _103572) = sdtpldt0(_104014, _103570)], (455 ^ _90068) ^ [] : [-(sdtlseqdt0(sdtpldt0(_104014, _103572), sdtpldt0(_104014, _103570)))], (457 ^ _90068) ^ [] : [sdtpldt0(_103572, _104014) = sdtpldt0(_103570, _104014)], (459 ^ _90068) ^ [] : [-(sdtlseqdt0(sdtpldt0(_103572, _104014), sdtpldt0(_103570, _104014)))]]]]], (461 ^ _90068) ^ [_104538, _104540, _104542] : [aNaturalNumber0(_104542), aNaturalNumber0(_104540), aNaturalNumber0(_104538), 484 ^ _90068 : [(485 ^ _90068) ^ [] : [sdtasdt0(_104542, _104540) = sdtasdt0(_104542, _104538)], (487 ^ _90068) ^ [] : [-(sdtlseqdt0(sdtasdt0(_104542, _104540), sdtasdt0(_104542, _104538)))], (489 ^ _90068) ^ [] : [sdtasdt0(_104540, _104542) = sdtasdt0(_104538, _104542)], (491 ^ _90068) ^ [] : [-(sdtlseqdt0(sdtasdt0(_104540, _104542), sdtasdt0(_104538, _104542)))]], -(_104542 = sz00), -(_104540 = _104538), sdtlseqdt0(_104540, _104538)], (493 ^ _90068) ^ [_105488] : [aNaturalNumber0(_105488), -(_105488 = sz00), -(_105488 = sz10), 504 ^ _90068 : [(505 ^ _90068) ^ [] : [sz10 = _105488], (507 ^ _90068) ^ [] : [-(sdtlseqdt0(sz10, _105488))]]], (509 ^ _90068) ^ [_105936, _105938] : [aNaturalNumber0(_105938), aNaturalNumber0(_105936), -(_105938 = sz00), -(sdtlseqdt0(_105936, sdtasdt0(_105936, _105938)))], (523 ^ _90068) ^ [_106331, _106333] : [aNaturalNumber0(_106333), aNaturalNumber0(_106331), iLess0(_106333, _106331), true___, -(true___)], (541 ^ _90068) ^ [_106791, _106793] : [aNaturalNumber0(_106793), aNaturalNumber0(_106791), -(iLess0(_106793, _106791)), -(_106793 = _106791), sdtlseqdt0(_106793, _106791)], (559 ^ _90068) ^ [_107269, _107271] : [aNaturalNumber0(_107271), aNaturalNumber0(_107269), 566 ^ _90068 : [(567 ^ _90068) ^ [] : [doDivides0(_107271, _107269), 571 ^ _90068 : [(572 ^ _90068) ^ [] : [-(aNaturalNumber0(570 ^ [_107269, _107271]))], (574 ^ _90068) ^ [] : [-(_107269 = sdtasdt0(_107271, 570 ^ [_107269, _107271]))]]], (576 ^ _90068) ^ [] : [-(doDivides0(_107271, _107269)), 577 ^ _90068 : [(578 ^ _90068) ^ [_107829] : [aNaturalNumber0(_107829), _107269 = sdtasdt0(_107271, _107829)]]]]], (642 ^ _90068) ^ [] : [-(aNaturalNumber0(xl))], (644 ^ _90068) ^ [] : [-(aNaturalNumber0(xm))], (646 ^ _90068) ^ [] : [-(aNaturalNumber0(xn))], (649 ^ _90068) ^ [] : [-(aNaturalNumber0(647 ^ []))], (651 ^ _90068) ^ [] : [-(xm = sdtasdt0(xl, 647 ^ []))], (653 ^ _90068) ^ [] : [-(doDivides0(xl, xm))], (656 ^ _90068) ^ [] : [-(aNaturalNumber0(654 ^ []))], (658 ^ _90068) ^ [] : [-(xn = sdtasdt0(xl, 654 ^ []))], (660 ^ _90068) ^ [] : [-(doDivides0(xl, xn))], (620 ^ _90068) ^ [_109162, _109164, _109166] : [aNaturalNumber0(_109166), aNaturalNumber0(_109164), aNaturalNumber0(_109162), -(doDivides0(_109166, _109162)), doDivides0(_109166, _109164), doDivides0(_109164, _109162)], (586 ^ _90068) ^ [_108112, _108114] : [aNaturalNumber0(_108114), aNaturalNumber0(_108112), -(_108114 = sz00), doDivides0(_108114, _108112), 601 ^ _90068 : [(602 ^ _90068) ^ [_108551] : [_108551 = sdtsldt0(_108112, _108114), 605 ^ _90068 : [(606 ^ _90068) ^ [] : [-(aNaturalNumber0(_108551))], (608 ^ _90068) ^ [] : [-(_108112 = sdtasdt0(_108114, _108551))]]], (610 ^ _90068) ^ [_108810] : [-(_108810 = sdtsldt0(_108112, _108114)), aNaturalNumber0(_108810), _108112 = sdtasdt0(_108114, _108810)]]]], input).
% 0.65/1.38 ncf('1',plain,[sdtpldt0(xm, xn) = sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))],start(672 ^ 0)).
% 0.65/1.38 ncf('1.1',plain,[-(sdtpldt0(xm, xn) = sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))), sdtpldt0(xm, xn) = sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl))), sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl))) = sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))],extension(10 ^ 1,bind([[_90523, _90525, _90527], [sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl))), sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl))), sdtpldt0(xm, xn)]]))).
% 0.65/1.38 ncf('1.1.1',plain,[-(sdtpldt0(xm, xn) = sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl)))), xm = sdtasdt0(xl, sdtsldt0(xm, xl)), xn = sdtasdt0(xl, sdtsldt0(xn, xl))],extension(92 ^ 2,bind([[_93201, _93203, _93205, _93207], [sdtasdt0(xl, sdtsldt0(xn, xl)), xn, sdtasdt0(xl, sdtsldt0(xm, xl)), xm]]))).
% 0.65/1.38 ncf('1.1.1.1',plain,[-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))],extension(666 ^ 3)).
% 0.65/1.38 ncf('1.1.1.2',plain,[-(xn = sdtasdt0(xl, sdtsldt0(xn, xl)))],extension(670 ^ 3)).
% 0.65/1.38 ncf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl))) = sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))), sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl))) = sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl)))],extension(4 ^ 2,bind([[_90319, _90321], [sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl))), sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl)))]]))).
% 0.65/1.38 ncf('1.1.2.1',plain,[-(sdtasdt0(xl, sdtpldt0(sdtsldt0(xm, xl), sdtsldt0(xn, xl))) = sdtpldt0(sdtasdt0(xl, sdtsldt0(xm, xl)), sdtasdt0(xl, sdtsldt0(xn, xl)))), aNaturalNumber0(xl), aNaturalNumber0(sdtsldt0(xm, xl)), aNaturalNumber0(sdtsldt0(xn, xl))],extension(220 ^ 3,bind([[_97213, _97215, _97217], [sdtsldt0(xn, xl), sdtsldt0(xm, xl), xl]]))).
% 0.65/1.38 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xl))],extension(642 ^ 4)).
% 0.65/1.38 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(sdtsldt0(xm, xl)))],extension(664 ^ 4)).
% 0.65/1.38 ncf('1.1.2.1.3',plain,[-(aNaturalNumber0(sdtsldt0(xn, xl)))],extension(668 ^ 4)).
% 0.65/1.38 %-----------------------------------------------------
% 0.65/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------