TSTP Solution File: NUM482+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM482+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:44:44 EDT 2023
% Result : Theorem 161.04s 156.36s
% Output : Proof 161.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM482+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 : Thu May 18 17:58:11 EDT 2023
% 0.12/0.33 % CPUTime :
% 161.04/156.36
% 161.04/156.36 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 161.04/156.36 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.04/156.36 %-----------------------------------------------------
% 161.04/156.36 ncf(matrix, plain, [(812 ^ _133198) ^ [] : [-(isPrime0(xk))], (814 ^ _133198) ^ [_133310] : [aNaturalNumber0(_133310), doDivides0(_133310, xk), isPrime0(_133310)], !, (134 ^ _108567) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _108567) ^ [] : [sz10 = sz00], (20 ^ _108567) ^ [_109343, _109345, _109347, _109349] : [-(sdtlseqdt0(_109347, _109343)), sdtlseqdt0(_109349, _109345), _109349 = _109347, _109345 = _109343], (266 ^ _108567) ^ [_117113] : [aNaturalNumber0(_117113), -(_117113 = sz00), 273 ^ _108567 : [(274 ^ _108567) ^ [_117375, _117377] : [aNaturalNumber0(_117377), aNaturalNumber0(_117375), 283 ^ _108567 : [(284 ^ _108567) ^ [] : [sdtasdt0(_117113, _117377) = sdtasdt0(_117113, _117375)], (286 ^ _108567) ^ [] : [sdtasdt0(_117377, _117113) = sdtasdt0(_117375, _117113)]], -(_117377 = _117375)]]], (230 ^ _108567) ^ [_115989, _115991, _115993] : [241 ^ _108567 : [(242 ^ _108567) ^ [] : [-(sdtasdt0(_115993, sdtpldt0(_115991, _115989)) = sdtpldt0(sdtasdt0(_115993, _115991), sdtasdt0(_115993, _115989)))], (244 ^ _108567) ^ [] : [-(sdtasdt0(sdtpldt0(_115991, _115989), _115993) = sdtpldt0(sdtasdt0(_115991, _115993), sdtasdt0(_115989, _115993)))]], aNaturalNumber0(_115993), aNaturalNumber0(_115991), aNaturalNumber0(_115989)], (214 ^ _108567) ^ [_115415] : [aNaturalNumber0(_115415), 217 ^ _108567 : [(218 ^ _108567) ^ [] : [-(sdtasdt0(_115415, sz10) = _115415)], (220 ^ _108567) ^ [] : [-(_115415 = sdtasdt0(sz10, _115415))]]], (48 ^ _108567) ^ [_110203, _110205] : [-(aNaturalNumber0(_110203)), _110205 = _110203, aNaturalNumber0(_110205)], (351 ^ _108567) ^ [_119678, _119680] : [aNaturalNumber0(_119680), aNaturalNumber0(_119678), sdtlseqdt0(_119680, _119678), 362 ^ _108567 : [(363 ^ _108567) ^ [_120025] : [_120025 = sdtmndt0(_119678, _119680), 366 ^ _108567 : [(367 ^ _108567) ^ [] : [-(aNaturalNumber0(_120025))], (369 ^ _108567) ^ [] : [-(sdtpldt0(_119680, _120025) = _119678)]]], (371 ^ _108567) ^ [_120284] : [-(_120284 = sdtmndt0(_119678, _119680)), aNaturalNumber0(_120284), sdtpldt0(_119680, _120284) = _119678]]], (443 ^ _108567) ^ [_122346, _122348] : [aNaturalNumber0(_122348), aNaturalNumber0(_122346), -(_122348 = _122346), sdtlseqdt0(_122348, _122346), 458 ^ _108567 : [(459 ^ _108567) ^ [_122790] : [aNaturalNumber0(_122790), 462 ^ _108567 : [(463 ^ _108567) ^ [] : [sdtpldt0(_122790, _122348) = sdtpldt0(_122790, _122346)], (469 ^ _108567) ^ [] : [-(sdtlseqdt0(sdtpldt0(_122348, _122790), sdtpldt0(_122346, _122790)))], (467 ^ _108567) ^ [] : [sdtpldt0(_122348, _122790) = sdtpldt0(_122346, _122790)], (465 ^ _108567) ^ [] : [-(sdtlseqdt0(sdtpldt0(_122790, _122348), sdtpldt0(_122790, _122346)))]]]]], (102 ^ _108567) ^ [_111977, _111979, _111981, _111983] : [-(sdtsldt0(_111983, _111979) = sdtsldt0(_111981, _111977)), _111983 = _111981, _111979 = _111977], (674 ^ _108567) ^ [_129144, _129146, _129148] : [aNaturalNumber0(_129148), aNaturalNumber0(_129146), aNaturalNumber0(_129144), -(doDivides0(_129148, _129144)), doDivides0(_129148, _129146), doDivides0(_129148, sdtpldt0(_129146, _129144))], (519 ^ _108567) ^ [_124712, _124714] : [aNaturalNumber0(_124714), aNaturalNumber0(_124712), -(_124714 = sz00), -(sdtlseqdt0(_124712, sdtasdt0(_124712, _124714)))], (808 ^ _108567) ^ [] : [xk = sz00], (222 ^ _108567) ^ [_115688] : [aNaturalNumber0(_115688), 225 ^ _108567 : [(226 ^ _108567) ^ [] : [-(sdtasdt0(_115688, sz00) = sz00)], (228 ^ _108567) ^ [] : [-(sz00 = sdtasdt0(sz00, _115688))]]], (381 ^ _108567) ^ [_120606] : [aNaturalNumber0(_120606), -(sdtlseqdt0(_120606, _120606))], (630 ^ _108567) ^ [_127938, _127940, _127942] : [aNaturalNumber0(_127942), aNaturalNumber0(_127940), aNaturalNumber0(_127938), -(doDivides0(_127942, _127938)), doDivides0(_127942, _127940), doDivides0(_127940, _127938)], (387 ^ _108567) ^ [_120808, _120810] : [aNaturalNumber0(_120810), aNaturalNumber0(_120808), -(_120810 = _120808), sdtlseqdt0(_120810, _120808), sdtlseqdt0(_120808, _120810)], (427 ^ _108567) ^ [_121883, _121885] : [aNaturalNumber0(_121885), aNaturalNumber0(_121883), -(sdtlseqdt0(_121885, _121883)), 438 ^ _108567 : [(439 ^ _108567) ^ [] : [_121883 = _121885], (441 ^ _108567) ^ [] : [-(sdtlseqdt0(_121883, _121885))]]], (132 ^ _108567) ^ [] : [-(aNaturalNumber0(sz00))], (246 ^ _108567) ^ [_116536, _116538, _116540] : [259 ^ _108567 : [(260 ^ _108567) ^ [] : [sdtpldt0(_116540, _116538) = sdtpldt0(_116540, _116536)], (262 ^ _108567) ^ [] : [sdtpldt0(_116538, _116540) = sdtpldt0(_116536, _116540)]], -(_116538 = _116536), aNaturalNumber0(_116540), aNaturalNumber0(_116538), aNaturalNumber0(_116536)], (10 ^ _108567) ^ [_109002, _109004, _109006] : [-(_109006 = _109002), _109006 = _109004, _109004 = _109002], (596 ^ _108567) ^ [_126888, _126890] : [aNaturalNumber0(_126890), aNaturalNumber0(_126888), -(_126890 = sz00), doDivides0(_126890, _126888), 611 ^ _108567 : [(612 ^ _108567) ^ [_127327] : [_127327 = sdtsldt0(_126888, _126890), 615 ^ _108567 : [(616 ^ _108567) ^ [] : [-(aNaturalNumber0(_127327))], (618 ^ _108567) ^ [] : [-(_126888 = sdtasdt0(_126890, _127327))]]], (620 ^ _108567) ^ [_127586] : [-(_127586 = sdtsldt0(_126888, _126890)), aNaturalNumber0(_127586), _126888 = sdtasdt0(_126890, _127586)]]], (471 ^ _108567) ^ [_123314, _123316, _123318] : [aNaturalNumber0(_123318), aNaturalNumber0(_123316), aNaturalNumber0(_123314), 494 ^ _108567 : [(495 ^ _108567) ^ [] : [sdtasdt0(_123318, _123316) = sdtasdt0(_123318, _123314)], (501 ^ _108567) ^ [] : [-(sdtlseqdt0(sdtasdt0(_123316, _123318), sdtasdt0(_123314, _123318)))], (499 ^ _108567) ^ [] : [sdtasdt0(_123316, _123318) = sdtasdt0(_123314, _123318)], (497 ^ _108567) ^ [] : [-(sdtlseqdt0(sdtasdt0(_123318, _123316), sdtasdt0(_123318, _123314)))]], -(_123318 = sz00), -(_123316 = _123314), sdtlseqdt0(_123316, _123314)], (148 ^ _108567) ^ [_113375, _113377] : [-(aNaturalNumber0(sdtasdt0(_113377, _113375))), aNaturalNumber0(_113377), aNaturalNumber0(_113375)], (4 ^ _108567) ^ [_108798, _108800] : [_108800 = _108798, -(_108798 = _108800)], (783 ^ _108567) ^ [] : [-(aNaturalNumber0(xk))], (652 ^ _108567) ^ [_128538, _128540, _128542] : [aNaturalNumber0(_128542), aNaturalNumber0(_128540), aNaturalNumber0(_128538), -(doDivides0(_128542, sdtpldt0(_128540, _128538))), doDivides0(_128542, _128540), doDivides0(_128542, _128538)], (200 ^ _108567) ^ [_115009, _115011, _115013] : [-(sdtasdt0(sdtasdt0(_115013, _115011), _115009) = sdtasdt0(_115013, sdtasdt0(_115011, _115009))), aNaturalNumber0(_115013), aNaturalNumber0(_115011), aNaturalNumber0(_115009)], (405 ^ _108567) ^ [_121297, _121299, _121301] : [aNaturalNumber0(_121301), aNaturalNumber0(_121299), aNaturalNumber0(_121297), -(sdtlseqdt0(_121301, _121297)), sdtlseqdt0(_121301, _121299), sdtlseqdt0(_121299, _121297)], (190 ^ _108567) ^ [_114688, _114690] : [-(sdtasdt0(_114690, _114688) = sdtasdt0(_114688, _114690)), aNaturalNumber0(_114690), aNaturalNumber0(_114688)], (569 ^ _108567) ^ [_126045, _126047] : [aNaturalNumber0(_126047), aNaturalNumber0(_126045), 576 ^ _108567 : [(577 ^ _108567) ^ [] : [doDivides0(_126047, _126045), 581 ^ _108567 : [(582 ^ _108567) ^ [] : [-(aNaturalNumber0(580 ^ [_126045, _126047]))], (584 ^ _108567) ^ [] : [-(_126045 = sdtasdt0(_126047, 580 ^ [_126045, _126047]))]]], (586 ^ _108567) ^ [] : [-(doDivides0(_126047, _126045)), 587 ^ _108567 : [(588 ^ _108567) ^ [_126605] : [aNaturalNumber0(_126605), _126045 = sdtasdt0(_126047, _126605)]]]]], (736 ^ _108567) ^ [_130865] : [aNaturalNumber0(_130865), 739 ^ _108567 : [(762 ^ _108567) ^ [] : [-(isPrime0(_130865)), -(_130865 = sz00), -(_130865 = sz10), 772 ^ _108567 : [(773 ^ _108567) ^ [] : [-(aNaturalNumber0(771 ^ [_130865]))], (779 ^ _108567) ^ [] : [771 ^ [_130865] = _130865], (777 ^ _108567) ^ [] : [771 ^ [_130865] = sz10], (775 ^ _108567) ^ [] : [-(doDivides0(771 ^ [_130865], _130865))]]], (740 ^ _108567) ^ [] : [isPrime0(_130865), 743 ^ _108567 : [(748 ^ _108567) ^ [_131257] : [aNaturalNumber0(_131257), doDivides0(_131257, _130865), -(_131257 = sz10), -(_131257 = _130865)], (746 ^ _108567) ^ [] : [_130865 = sz10], (744 ^ _108567) ^ [] : [_130865 = sz00]]]]], (122 ^ _108567) ^ [_112647] : [aNaturalNumber0(_112647), true___, -(true___)], (58 ^ _108567) ^ [_110526, _110528, _110530, _110532] : [-(doDivides0(_110530, _110526)), doDivides0(_110532, _110528), _110532 = _110530, _110528 = _110526], (306 ^ _108567) ^ [_118353, _118355] : [aNaturalNumber0(_118355), aNaturalNumber0(_118353), sdtasdt0(_118355, _118353) = sz00, -(_118355 = sz00), -(_118353 = sz00)], (72 ^ _108567) ^ [_110922, _110924] : [-(isPrime0(_110922)), _110924 = _110922, isPrime0(_110924)], (82 ^ _108567) ^ [_111259, _111261, _111263, _111265] : [-(sdtmndt0(_111265, _111261) = sdtmndt0(_111263, _111259)), _111265 = _111263, _111261 = _111259], (696 ^ _108567) ^ [_129736, _129738] : [aNaturalNumber0(_129738), aNaturalNumber0(_129736), -(sdtlseqdt0(_129738, _129736)), doDivides0(_129738, _129736), -(_129736 = sz00)], (290 ^ _108567) ^ [_117886, _117888] : [aNaturalNumber0(_117888), aNaturalNumber0(_117886), sdtpldt0(_117888, _117886) = sz00, 301 ^ _108567 : [(302 ^ _108567) ^ [] : [-(_117888 = sz00)], (304 ^ _108567) ^ [] : [-(_117886 = sz00)]]], (92 ^ _108567) ^ [_111618, _111620, _111622, _111624] : [-(sdtpldt0(_111624, _111620) = sdtpldt0(_111622, _111618)), _111624 = _111622, _111620 = _111618], (138 ^ _108567) ^ [_113076, _113078] : [-(aNaturalNumber0(sdtpldt0(_113078, _113076))), aNaturalNumber0(_113078), aNaturalNumber0(_113076)], (112 ^ _108567) ^ [_112316, _112318, _112320, _112322] : [-(sdtasdt0(_112322, _112318) = sdtasdt0(_112320, _112316)), _112322 = _112320, _112318 = _112316], (785 ^ _108567) ^ [_132262] : [iLess0(_132262, xk), 801 ^ _108567 : [(806 ^ _108567) ^ [] : [-(isPrime0(800 ^ [_132262]))], (804 ^ _108567) ^ [] : [-(doDivides0(800 ^ [_132262], _132262))], (802 ^ _108567) ^ [] : [-(aNaturalNumber0(800 ^ [_132262]))]], aNaturalNumber0(_132262), -(_132262 = sz00), -(_132262 = sz10)], (2 ^ _108567) ^ [_108691] : [-(_108691 = _108691)], (551 ^ _108567) ^ [_125567, _125569] : [aNaturalNumber0(_125569), aNaturalNumber0(_125567), -(iLess0(_125569, _125567)), -(_125569 = _125567), sdtlseqdt0(_125569, _125567)], (714 ^ _108567) ^ [_130214, _130216] : [aNaturalNumber0(_130216), aNaturalNumber0(_130214), -(_130216 = sz00), doDivides0(_130216, _130214), 729 ^ _108567 : [(730 ^ _108567) ^ [_130624] : [aNaturalNumber0(_130624), -(sdtasdt0(_130624, sdtsldt0(_130214, _130216)) = sdtsldt0(sdtasdt0(_130624, _130214), _130216))]]], (34 ^ _108567) ^ [_109787, _109789, _109791, _109793] : [-(iLess0(_109791, _109787)), iLess0(_109793, _109789), _109793 = _109791, _109789 = _109787], (533 ^ _108567) ^ [_125107, _125109] : [aNaturalNumber0(_125109), aNaturalNumber0(_125107), iLess0(_125109, _125107), true___, -(true___)], (182 ^ _108567) ^ [_114401] : [aNaturalNumber0(_114401), 185 ^ _108567 : [(186 ^ _108567) ^ [] : [-(sdtpldt0(_114401, sz00) = _114401)], (188 ^ _108567) ^ [] : [-(_114401 = sdtpldt0(sz00, _114401))]]], (324 ^ _108567) ^ [_118835, _118837] : [aNaturalNumber0(_118837), aNaturalNumber0(_118835), 331 ^ _108567 : [(332 ^ _108567) ^ [] : [sdtlseqdt0(_118837, _118835), 336 ^ _108567 : [(337 ^ _108567) ^ [] : [-(aNaturalNumber0(335 ^ [_118835, _118837]))], (339 ^ _108567) ^ [] : [-(sdtpldt0(_118837, 335 ^ [_118835, _118837]) = _118835)]]], (341 ^ _108567) ^ [] : [-(sdtlseqdt0(_118837, _118835)), 342 ^ _108567 : [(343 ^ _108567) ^ [_119395] : [aNaturalNumber0(_119395), sdtpldt0(_118837, _119395) = _118835]]]]], (503 ^ _108567) ^ [_124264] : [aNaturalNumber0(_124264), -(_124264 = sz00), -(_124264 = sz10), 514 ^ _108567 : [(515 ^ _108567) ^ [] : [sz10 = _124264], (517 ^ _108567) ^ [] : [-(sdtlseqdt0(sz10, _124264))]]], (810 ^ _108567) ^ [] : [xk = sz10], (158 ^ _108567) ^ [_113674, _113676] : [-(sdtpldt0(_113676, _113674) = sdtpldt0(_113674, _113676)), aNaturalNumber0(_113676), aNaturalNumber0(_113674)], (168 ^ _108567) ^ [_113995, _113997, _113999] : [-(sdtpldt0(sdtpldt0(_113999, _113997), _113995) = sdtpldt0(_113999, sdtpldt0(_113997, _113995))), aNaturalNumber0(_113999), aNaturalNumber0(_113997), aNaturalNumber0(_113995)]], input).
% 161.04/156.36 ncf('1',plain,[-(isPrime0(xk))],start(812 ^ 0)).
% 161.04/156.36 ncf('1.1',plain,[isPrime0(xk), aNaturalNumber0(xk), doDivides0(xk, xk)],extension(814 ^ 1,bind([[_133310], [xk]]))).
% 161.04/156.36 ncf('1.1.1',plain,[-(aNaturalNumber0(xk))],extension(783 ^ 2)).
% 161.04/156.36 ncf('1.1.2',plain,[-(doDivides0(xk, xk)), 588 : aNaturalNumber0(sz10), 588 : xk = sdtasdt0(xk, sz10), 586 : aNaturalNumber0(xk), 586 : aNaturalNumber0(xk)],extension(569 ^ 2,bind([[_126045, _126047, _126605], [xk, xk, sz10]]))).
% 161.04/156.36 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sz10))],extension(134 ^ 7)).
% 161.04/156.36 ncf('1.1.2.2',plain,[-(xk = sdtasdt0(xk, sz10)), xk = sdtasdt0(sz10, xk), sdtasdt0(sz10, xk) = sdtasdt0(xk, sz10)],extension(10 ^ 7,bind([[_109002, _109004, _109006], [sdtasdt0(xk, sz10), sdtasdt0(sz10, xk), xk]]))).
% 161.04/156.36 ncf('1.1.2.2.1',plain,[-(xk = sdtasdt0(sz10, xk)), aNaturalNumber0(xk)],extension(214 ^ 8,bind([[_115415], [xk]]))).
% 161.04/156.36 ncf('1.1.2.2.1.1',plain,[-(aNaturalNumber0(xk))],lemmata('[1].x')).
% 161.04/156.36 ncf('1.1.2.2.2',plain,[-(sdtasdt0(sz10, xk) = sdtasdt0(xk, sz10)), aNaturalNumber0(sz10), aNaturalNumber0(xk)],extension(190 ^ 8,bind([[_114688, _114690], [xk, sz10]]))).
% 161.04/156.36 ncf('1.1.2.2.2.1',plain,[-(aNaturalNumber0(sz10))],lemmata('[1, 1].x')).
% 161.04/156.36 ncf('1.1.2.2.2.2',plain,[-(aNaturalNumber0(xk))],lemmata('[1].x')).
% 161.04/156.36 ncf('1.1.2.3',plain,[-(aNaturalNumber0(xk))],lemmata('[1].x')).
% 161.04/156.36 ncf('1.1.2.4',plain,[-(aNaturalNumber0(xk))],lemmata('[1, 1].x')).
% 161.04/156.36 %-----------------------------------------------------
% 161.04/156.36 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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