TSTP Solution File: NUM516+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM516+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 11:44:50 EDT 2023
% Result : Theorem 48.27s 46.92s
% Output : Proof 48.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM516+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n028.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 : Thu May 18 17:53:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 48.27/46.92
% 48.27/46.92 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 48.27/46.92 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.27/46.92 %-----------------------------------------------------
% 48.27/46.92 ncf(matrix, plain, [(892 ^ _174881) ^ [] : [-(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))], !, (324 ^ _148014) ^ [_158282, _158284] : [aNaturalNumber0(_158284), aNaturalNumber0(_158282), 331 ^ _148014 : [(341 ^ _148014) ^ [] : [-(sdtlseqdt0(_158284, _158282)), 342 ^ _148014 : [(343 ^ _148014) ^ [_158842] : [aNaturalNumber0(_158842), sdtpldt0(_158284, _158842) = _158282]]], (332 ^ _148014) ^ [] : [sdtlseqdt0(_158284, _158282), 336 ^ _148014 : [(339 ^ _148014) ^ [] : [-(sdtpldt0(_158284, 335 ^ [_158282, _158284]) = _158282)], (337 ^ _148014) ^ [] : [-(aNaturalNumber0(335 ^ [_158282, _158284]))]]]]], (158 ^ _148014) ^ [_153121, _153123] : [-(sdtpldt0(_153123, _153121) = sdtpldt0(_153121, _153123)), aNaturalNumber0(_153123), aNaturalNumber0(_153121)], (68 ^ _148014) ^ [_150248, _150250, _150252, _150254] : [-(sdtlseqdt0(_150252, _150248)), sdtlseqdt0(_150254, _150250), _150254 = _150252, _150250 = _150248], (569 ^ _148014) ^ [_165492, _165494] : [aNaturalNumber0(_165494), aNaturalNumber0(_165492), 576 ^ _148014 : [(586 ^ _148014) ^ [] : [-(doDivides0(_165494, _165492)), 587 ^ _148014 : [(588 ^ _148014) ^ [_166052] : [aNaturalNumber0(_166052), _165492 = sdtasdt0(_165494, _166052)]]], (577 ^ _148014) ^ [] : [doDivides0(_165494, _165492), 581 ^ _148014 : [(584 ^ _148014) ^ [] : [-(_165492 = sdtasdt0(_165494, 580 ^ [_165492, _165494]))], (582 ^ _148014) ^ [] : [-(aNaturalNumber0(580 ^ [_165492, _165494]))]]]]], (884 ^ _148014) ^ [] : [-(doDivides0(xr, xn))], (840 ^ _148014) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (630 ^ _148014) ^ [_167385, _167387, _167389] : [aNaturalNumber0(_167389), aNaturalNumber0(_167387), aNaturalNumber0(_167385), -(doDivides0(_167389, _167385)), doDivides0(_167389, _167387), doDivides0(_167387, _167385)], (10 ^ _148014) ^ [_148449, _148451, _148453] : [-(_148453 = _148449), _148453 = _148451, _148451 = _148449], (533 ^ _148014) ^ [_164554, _164556] : [aNaturalNumber0(_164556), aNaturalNumber0(_164554), iLess0(_164556, _164554), true___, -(true___)], (808 ^ _148014) ^ [_172423, _172425, _172427] : [aNaturalNumber0(_172427), aNaturalNumber0(_172425), aNaturalNumber0(_172423), isPrime0(_172423), doDivides0(_172423, sdtasdt0(_172427, _172425)), iLess0(sdtpldt0(sdtpldt0(_172427, _172425), _172423), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_172423, _172427)), -(doDivides0(_172423, _172425))], (802 ^ _148014) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _148014) ^ [] : [-(aNaturalNumber0(xm))], (82 ^ _148014) ^ [_150706, _150708, _150710, _150712] : [-(sdtmndt0(_150712, _150708) = sdtmndt0(_150710, _150706)), _150712 = _150710, _150708 = _150706], (381 ^ _148014) ^ [_160053] : [aNaturalNumber0(_160053), -(sdtlseqdt0(_160053, _160053))], (838 ^ _148014) ^ [] : [-(isPrime0(xp))], (102 ^ _148014) ^ [_151424, _151426, _151428, _151430] : [-(sdtsldt0(_151430, _151426) = sdtsldt0(_151428, _151424)), _151430 = _151428, _151426 = _151424], (852 ^ _148014) ^ [] : [-(sdtlseqdt0(xm, xp))], (874 ^ _148014) ^ [] : [xk = xp], (856 ^ _148014) ^ [] : [xk = sz00], (844 ^ _148014) ^ [] : [sdtlseqdt0(xp, xm)], (136 ^ _148014) ^ [] : [sz10 = sz00], (842 ^ _148014) ^ [] : [sdtlseqdt0(xp, xn)], (405 ^ _148014) ^ [_160744, _160746, _160748] : [aNaturalNumber0(_160748), aNaturalNumber0(_160746), aNaturalNumber0(_160744), -(sdtlseqdt0(_160748, _160744)), sdtlseqdt0(_160748, _160746), sdtlseqdt0(_160746, _160744)], (443 ^ _148014) ^ [_161793, _161795] : [aNaturalNumber0(_161795), aNaturalNumber0(_161793), -(_161795 = _161793), sdtlseqdt0(_161795, _161793), 458 ^ _148014 : [(459 ^ _148014) ^ [_162237] : [aNaturalNumber0(_162237), 462 ^ _148014 : [(465 ^ _148014) ^ [] : [-(sdtlseqdt0(sdtpldt0(_162237, _161795), sdtpldt0(_162237, _161793)))], (467 ^ _148014) ^ [] : [sdtpldt0(_161795, _162237) = sdtpldt0(_161793, _162237)], (469 ^ _148014) ^ [] : [-(sdtlseqdt0(sdtpldt0(_161795, _162237), sdtpldt0(_161793, _162237)))], (463 ^ _148014) ^ [] : [sdtpldt0(_162237, _161795) = sdtpldt0(_162237, _161793)]]]]], (200 ^ _148014) ^ [_154456, _154458, _154460] : [-(sdtasdt0(sdtasdt0(_154460, _154458), _154456) = sdtasdt0(_154460, sdtasdt0(_154458, _154456))), aNaturalNumber0(_154460), aNaturalNumber0(_154458), aNaturalNumber0(_154456)], (890 ^ _148014) ^ [] : [-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))], (112 ^ _148014) ^ [_151763, _151765, _151767, _151769] : [-(sdtpldt0(_151769, _151765) = sdtpldt0(_151767, _151763)), _151769 = _151767, _151765 = _151763], (848 ^ _148014) ^ [] : [-(sdtlseqdt0(xn, xp))], (596 ^ _148014) ^ [_166335, _166337] : [aNaturalNumber0(_166337), aNaturalNumber0(_166335), -(_166337 = sz00), doDivides0(_166337, _166335), 611 ^ _148014 : [(620 ^ _148014) ^ [_167033] : [-(_167033 = sdtsldt0(_166335, _166337)), aNaturalNumber0(_167033), _166335 = sdtasdt0(_166337, _167033)], (612 ^ _148014) ^ [_166774] : [_166774 = sdtsldt0(_166335, _166337), 615 ^ _148014 : [(618 ^ _148014) ^ [] : [-(_166335 = sdtasdt0(_166337, _166774))], (616 ^ _148014) ^ [] : [-(aNaturalNumber0(_166774))]]]]], (858 ^ _148014) ^ [] : [xk = sz10], (876 ^ _148014) ^ [] : [-(sdtlseqdt0(xk, xp))], (290 ^ _148014) ^ [_157333, _157335] : [aNaturalNumber0(_157335), aNaturalNumber0(_157333), sdtpldt0(_157335, _157333) = sz00, 301 ^ _148014 : [(304 ^ _148014) ^ [] : [-(_157333 = sz00)], (302 ^ _148014) ^ [] : [-(_157335 = sz00)]]], (54 ^ _148014) ^ [_149824, _149826, _149828, _149830] : [-(doDivides0(_149828, _149824)), doDivides0(_149830, _149826), _149830 = _149828, _149826 = _149824], (870 ^ _148014) ^ [] : [-(sdtlseqdt0(xr, xk))], (783 ^ _148014) ^ [_171656] : [795 ^ _148014 : [(800 ^ _148014) ^ [] : [-(isPrime0(794 ^ [_171656]))], (798 ^ _148014) ^ [] : [-(doDivides0(794 ^ [_171656], _171656))], (796 ^ _148014) ^ [] : [-(aNaturalNumber0(794 ^ [_171656]))]], aNaturalNumber0(_171656), -(_171656 = sz00), -(_171656 = sz10)], (519 ^ _148014) ^ [_164159, _164161] : [aNaturalNumber0(_164161), aNaturalNumber0(_164159), -(_164161 = sz00), -(sdtlseqdt0(_164159, sdtasdt0(_164159, _164161)))], (190 ^ _148014) ^ [_154135, _154137] : [-(sdtasdt0(_154137, _154135) = sdtasdt0(_154135, _154137)), aNaturalNumber0(_154137), aNaturalNumber0(_154135)], (246 ^ _148014) ^ [_155983, _155985, _155987] : [259 ^ _148014 : [(262 ^ _148014) ^ [] : [sdtpldt0(_155985, _155987) = sdtpldt0(_155983, _155987)], (260 ^ _148014) ^ [] : [sdtpldt0(_155987, _155985) = sdtpldt0(_155987, _155983)]], -(_155985 = _155983), aNaturalNumber0(_155987), aNaturalNumber0(_155985), aNaturalNumber0(_155983)], (34 ^ _148014) ^ [_149206, _149208] : [-(aNaturalNumber0(_149206)), _149208 = _149206, aNaturalNumber0(_149208)], (4 ^ _148014) ^ [_148245, _148247] : [_148247 = _148245, -(_148245 = _148247)], (888 ^ _148014) ^ [] : [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], (806 ^ _148014) ^ [] : [-(aNaturalNumber0(xp))], (503 ^ _148014) ^ [_163711] : [aNaturalNumber0(_163711), -(_163711 = sz00), -(_163711 = sz10), 514 ^ _148014 : [(517 ^ _148014) ^ [] : [-(sdtlseqdt0(sz10, _163711))], (515 ^ _148014) ^ [] : [sz10 = _163711]]], (714 ^ _148014) ^ [_169661, _169663] : [aNaturalNumber0(_169663), aNaturalNumber0(_169661), -(_169663 = sz00), doDivides0(_169663, _169661), 729 ^ _148014 : [(730 ^ _148014) ^ [_170071] : [aNaturalNumber0(_170071), -(sdtasdt0(_170071, sdtsldt0(_169661, _169663)) = sdtsldt0(sdtasdt0(_170071, _169661), _169663))]]], (652 ^ _148014) ^ [_167985, _167987, _167989] : [aNaturalNumber0(_167989), aNaturalNumber0(_167987), aNaturalNumber0(_167985), -(doDivides0(_167989, sdtpldt0(_167987, _167985))), doDivides0(_167989, _167987), doDivides0(_167989, _167985)], (427 ^ _148014) ^ [_161330, _161332] : [aNaturalNumber0(_161332), aNaturalNumber0(_161330), -(sdtlseqdt0(_161332, _161330)), 438 ^ _148014 : [(441 ^ _148014) ^ [] : [-(sdtlseqdt0(_161330, _161332))], (439 ^ _148014) ^ [] : [_161330 = _161332]]], (214 ^ _148014) ^ [_154862] : [aNaturalNumber0(_154862), 217 ^ _148014 : [(220 ^ _148014) ^ [] : [-(_154862 = sdtasdt0(sz10, _154862))], (218 ^ _148014) ^ [] : [-(sdtasdt0(_154862, sz10) = _154862)]]], (854 ^ _148014) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (850 ^ _148014) ^ [] : [xm = xp], (868 ^ _148014) ^ [] : [-(isPrime0(xr))], (134 ^ _148014) ^ [] : [-(aNaturalNumber0(sz10))], (551 ^ _148014) ^ [_165014, _165016] : [aNaturalNumber0(_165016), aNaturalNumber0(_165014), -(iLess0(_165016, _165014)), -(_165016 = _165014), sdtlseqdt0(_165016, _165014)], (92 ^ _148014) ^ [_151065, _151067, _151069, _151071] : [-(sdtasdt0(_151071, _151067) = sdtasdt0(_151069, _151065)), _151071 = _151069, _151067 = _151065], (387 ^ _148014) ^ [_160255, _160257] : [aNaturalNumber0(_160257), aNaturalNumber0(_160255), -(_160257 = _160255), sdtlseqdt0(_160257, _160255), sdtlseqdt0(_160255, _160257)], (351 ^ _148014) ^ [_159125, _159127] : [aNaturalNumber0(_159127), aNaturalNumber0(_159125), sdtlseqdt0(_159127, _159125), 362 ^ _148014 : [(371 ^ _148014) ^ [_159731] : [-(_159731 = sdtmndt0(_159125, _159127)), aNaturalNumber0(_159731), sdtpldt0(_159127, _159731) = _159125], (363 ^ _148014) ^ [_159472] : [_159472 = sdtmndt0(_159125, _159127), 366 ^ _148014 : [(369 ^ _148014) ^ [] : [-(sdtpldt0(_159127, _159472) = _159125)], (367 ^ _148014) ^ [] : [-(aNaturalNumber0(_159472))]]]]], (148 ^ _148014) ^ [_152822, _152824] : [-(aNaturalNumber0(sdtasdt0(_152824, _152822))), aNaturalNumber0(_152824), aNaturalNumber0(_152822)], (138 ^ _148014) ^ [_152523, _152525] : [-(aNaturalNumber0(sdtpldt0(_152525, _152523))), aNaturalNumber0(_152525), aNaturalNumber0(_152523)], (471 ^ _148014) ^ [_162761, _162763, _162765] : [aNaturalNumber0(_162765), aNaturalNumber0(_162763), aNaturalNumber0(_162761), 494 ^ _148014 : [(497 ^ _148014) ^ [] : [-(sdtlseqdt0(sdtasdt0(_162765, _162763), sdtasdt0(_162765, _162761)))], (499 ^ _148014) ^ [] : [sdtasdt0(_162763, _162765) = sdtasdt0(_162761, _162765)], (501 ^ _148014) ^ [] : [-(sdtlseqdt0(sdtasdt0(_162763, _162765), sdtasdt0(_162761, _162765)))], (495 ^ _148014) ^ [] : [sdtasdt0(_162765, _162763) = sdtasdt0(_162765, _162761)]], -(_162765 = sz00), -(_162763 = _162761), sdtlseqdt0(_162763, _162761)], (132 ^ _148014) ^ [] : [-(aNaturalNumber0(sz00))], (866 ^ _148014) ^ [] : [-(doDivides0(xr, xk))], (168 ^ _148014) ^ [_153442, _153444, _153446] : [-(sdtpldt0(sdtpldt0(_153446, _153444), _153442) = sdtpldt0(_153446, sdtpldt0(_153444, _153442))), aNaturalNumber0(_153446), aNaturalNumber0(_153444), aNaturalNumber0(_153442)], (674 ^ _148014) ^ [_168591, _168593, _168595] : [aNaturalNumber0(_168595), aNaturalNumber0(_168593), aNaturalNumber0(_168591), -(doDivides0(_168595, _168591)), doDivides0(_168595, _168593), doDivides0(_168595, sdtpldt0(_168593, _168591))], (862 ^ _148014) ^ [] : [xk = sz10], (306 ^ _148014) ^ [_157800, _157802] : [aNaturalNumber0(_157802), aNaturalNumber0(_157800), sdtasdt0(_157802, _157800) = sz00, -(_157802 = sz00), -(_157800 = sz00)], (44 ^ _148014) ^ [_149501, _149503] : [-(isPrime0(_149501)), _149503 = _149501, isPrime0(_149503)], (872 ^ _148014) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (846 ^ _148014) ^ [] : [xn = xp], (20 ^ _148014) ^ [_148790, _148792, _148794, _148796] : [-(iLess0(_148794, _148790)), iLess0(_148796, _148792), _148796 = _148794, _148792 = _148790], (696 ^ _148014) ^ [_169183, _169185] : [aNaturalNumber0(_169185), aNaturalNumber0(_169183), -(sdtlseqdt0(_169185, _169183)), doDivides0(_169185, _169183), -(_169183 = sz00)], (182 ^ _148014) ^ [_153848] : [aNaturalNumber0(_153848), 185 ^ _148014 : [(188 ^ _148014) ^ [] : [-(_153848 = sdtpldt0(sz00, _153848))], (186 ^ _148014) ^ [] : [-(sdtpldt0(_153848, sz00) = _153848)]]], (222 ^ _148014) ^ [_155135] : [aNaturalNumber0(_155135), 225 ^ _148014 : [(228 ^ _148014) ^ [] : [-(sz00 = sdtasdt0(sz00, _155135))], (226 ^ _148014) ^ [] : [-(sdtasdt0(_155135, sz00) = sz00)]]], (266 ^ _148014) ^ [_156560] : [aNaturalNumber0(_156560), -(_156560 = sz00), 273 ^ _148014 : [(274 ^ _148014) ^ [_156822, _156824] : [aNaturalNumber0(_156824), aNaturalNumber0(_156822), 283 ^ _148014 : [(286 ^ _148014) ^ [] : [sdtasdt0(_156824, _156560) = sdtasdt0(_156822, _156560)], (284 ^ _148014) ^ [] : [sdtasdt0(_156560, _156824) = sdtasdt0(_156560, _156822)]], -(_156824 = _156822)]]], (886 ^ _148014) ^ [] : [sdtsldt0(xn, xr) = xn], (122 ^ _148014) ^ [_152094] : [aNaturalNumber0(_152094), true___, -(true___)], (2 ^ _148014) ^ [_148138] : [-(_148138 = _148138)], (230 ^ _148014) ^ [_155436, _155438, _155440] : [241 ^ _148014 : [(244 ^ _148014) ^ [] : [-(sdtasdt0(sdtpldt0(_155438, _155436), _155440) = sdtpldt0(sdtasdt0(_155438, _155440), sdtasdt0(_155436, _155440)))], (242 ^ _148014) ^ [] : [-(sdtasdt0(_155440, sdtpldt0(_155438, _155436)) = sdtpldt0(sdtasdt0(_155440, _155438), sdtasdt0(_155440, _155436)))]], aNaturalNumber0(_155440), aNaturalNumber0(_155438), aNaturalNumber0(_155436)], (878 ^ _148014) ^ [] : [-(doDivides0(xr, xn)), -(doDivides0(xr, xm))], (864 ^ _148014) ^ [] : [-(aNaturalNumber0(xr))], (736 ^ _148014) ^ [_170312] : [aNaturalNumber0(_170312), 739 ^ _148014 : [(740 ^ _148014) ^ [] : [isPrime0(_170312), 743 ^ _148014 : [(748 ^ _148014) ^ [_170704] : [aNaturalNumber0(_170704), doDivides0(_170704, _170312), -(_170704 = sz10), -(_170704 = _170312)], (746 ^ _148014) ^ [] : [_170312 = sz10], (744 ^ _148014) ^ [] : [_170312 = sz00]]], (762 ^ _148014) ^ [] : [-(isPrime0(_170312)), -(_170312 = sz00), -(_170312 = sz10), 772 ^ _148014 : [(775 ^ _148014) ^ [] : [-(doDivides0(771 ^ [_170312], _170312))], (777 ^ _148014) ^ [] : [771 ^ [_170312] = sz10], (779 ^ _148014) ^ [] : [771 ^ [_170312] = _170312], (773 ^ _148014) ^ [] : [-(aNaturalNumber0(771 ^ [_170312]))]]]]], (860 ^ _148014) ^ [] : [xk = sz00]], input).
% 48.27/46.92 ncf('1',plain,[-(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],start(892 ^ 0)).
% 48.27/46.92 ncf('1.1',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))],extension(443 ^ 1,bind([[_161793, _161795, _162237], [sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 48.27/46.92 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 48.27/46.92 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_152523, _152525], [xm, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.2.1.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.1.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.1.2.1.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.1.2.1.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.1.2.1.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[2, 1, 1].x')).
% 48.27/46.92 ncf('1.1.2.1.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 48.27/46.92 ncf('1.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), sdtpldt0(xm, xn) = sdtpldt0(xn, xm), aNaturalNumber0(sdtpldt0(xm, xn))],extension(34 ^ 2,bind([[_149206, _149208], [sdtpldt0(xn, xm), sdtpldt0(xm, xn)]]))).
% 48.27/46.92 ncf('1.1.3.1',plain,[-(sdtpldt0(xm, xn) = sdtpldt0(xn, xm)), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(158 ^ 3,bind([[_153121, _153123], [xn, xm]]))).
% 48.27/46.92 ncf('1.1.3.1.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 48.27/46.92 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.1.3.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(138 ^ 3,bind([[_152523, _152525], [xn, xm]]))).
% 48.27/46.92 ncf('1.1.3.2.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 48.27/46.92 ncf('1.1.3.2.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.1.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 2,bind([[_161793, _161795, _162237], [xn, sdtsldt0(xn, xr), xm]]))).
% 48.27/46.92 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 48.27/46.92 ncf('1.1.4.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.4.2.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.1.4.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.1.4.2.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.1.4.2.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.1.4.2.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[4, 1, 1].x')).
% 48.27/46.92 ncf('1.1.4.2.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.1.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 48.27/46.92 ncf('1.1.4.4',plain,[sdtsldt0(xn, xr) = xn, -(sdtsldt0(xn, xr) = sdtsldt0(xn, xr)), xn = sdtsldt0(xn, xr)],extension(10 ^ 3,bind([[_148449, _148451, _148453], [sdtsldt0(xn, xr), xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.4.4.1',plain,[sdtsldt0(xn, xr) = sdtsldt0(xn, xr), -(sdtsldt0(xn, xr) = xn), sdtsldt0(xn, xr) = xn],extension(10 ^ 4,bind([[_148449, _148451, _148453], [xn, sdtsldt0(xn, xr), sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.4.4.1.1',plain,[sdtsldt0(xn, xr) = xn],extension(886 ^ 5)).
% 48.27/46.92 ncf('1.1.4.4.1.2',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.1.4')).
% 48.27/46.92 ncf('1.1.4.4.2',plain,[-(xn = sdtsldt0(xn, xr)), sdtsldt0(xn, xr) = xn],extension(4 ^ 4,bind([[_148245, _148247], [xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.4.4.2.1',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.1.4')).
% 48.27/46.92 ncf('1.1.4.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(888 ^ 3)).
% 48.27/46.92 ncf('1.1.5',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 2,bind([[_161793, _161795, _162237], [xn, sdtsldt0(xn, xr), xm]]))).
% 48.27/46.92 ncf('1.1.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 48.27/46.92 ncf('1.1.5.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.5.2.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.5.2.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.1.5.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.1.5.2.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.1.5.2.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.1.5.2.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[5, 1, 1].x')).
% 48.27/46.92 ncf('1.1.5.2.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.1.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 48.27/46.92 ncf('1.1.5.4',plain,[sdtsldt0(xn, xr) = xn, -(sdtsldt0(xn, xr) = sdtsldt0(xn, xr)), xn = sdtsldt0(xn, xr)],extension(10 ^ 3,bind([[_148449, _148451, _148453], [sdtsldt0(xn, xr), xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.5.4.1',plain,[sdtsldt0(xn, xr) = sdtsldt0(xn, xr), -(sdtsldt0(xn, xr) = xn), sdtsldt0(xn, xr) = xn],extension(10 ^ 4,bind([[_148449, _148451, _148453], [xn, sdtsldt0(xn, xr), sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.5.4.1.1',plain,[sdtsldt0(xn, xr) = xn],extension(886 ^ 5)).
% 48.27/46.92 ncf('1.1.5.4.1.2',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.1.5')).
% 48.27/46.92 ncf('1.1.5.4.2',plain,[-(xn = sdtsldt0(xn, xr)), sdtsldt0(xn, xr) = xn],extension(4 ^ 4,bind([[_148245, _148247], [xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.1.5.4.2.1',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.1.5')).
% 48.27/46.92 ncf('1.1.5.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(888 ^ 3)).
% 48.27/46.92 ncf('1.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))],extension(443 ^ 1,bind([[_161793, _161795, _162237], [sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 48.27/46.92 ncf('1.2.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 48.27/46.92 ncf('1.2.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_152523, _152525], [xm, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.2.1.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.2.1.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.2.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.2.2.1.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.2.2.1.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.2.2.1.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[2, 2, 1].x')).
% 48.27/46.92 ncf('1.2.2.1.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.2.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 48.27/46.92 ncf('1.2.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), sdtpldt0(xm, xn) = sdtpldt0(xn, xm), aNaturalNumber0(sdtpldt0(xm, xn))],extension(34 ^ 2,bind([[_149206, _149208], [sdtpldt0(xn, xm), sdtpldt0(xm, xn)]]))).
% 48.27/46.92 ncf('1.2.3.1',plain,[-(sdtpldt0(xm, xn) = sdtpldt0(xn, xm)), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(158 ^ 3,bind([[_153121, _153123], [xn, xm]]))).
% 48.27/46.92 ncf('1.2.3.1.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 48.27/46.92 ncf('1.2.3.1.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.2.3.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(138 ^ 3,bind([[_152523, _152525], [xn, xm]]))).
% 48.27/46.92 ncf('1.2.3.2.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 48.27/46.92 ncf('1.2.3.2.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.2.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 2,bind([[_161793, _161795, _162237], [xn, sdtsldt0(xn, xr), xm]]))).
% 48.27/46.92 ncf('1.2.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 48.27/46.92 ncf('1.2.4.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.4.2.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.4.2.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.2.4.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.2.4.2.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.2.4.2.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.2.4.2.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[4, 2, 1].x')).
% 48.27/46.92 ncf('1.2.4.2.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.2.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 48.27/46.92 ncf('1.2.4.4',plain,[sdtsldt0(xn, xr) = xn, -(sdtsldt0(xn, xr) = sdtsldt0(xn, xr)), xn = sdtsldt0(xn, xr)],extension(10 ^ 3,bind([[_148449, _148451, _148453], [sdtsldt0(xn, xr), xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.4.4.1',plain,[sdtsldt0(xn, xr) = sdtsldt0(xn, xr), -(sdtsldt0(xn, xr) = xn), sdtsldt0(xn, xr) = xn],extension(10 ^ 4,bind([[_148449, _148451, _148453], [xn, sdtsldt0(xn, xr), sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.4.4.1.1',plain,[sdtsldt0(xn, xr) = xn],extension(886 ^ 5)).
% 48.27/46.92 ncf('1.2.4.4.1.2',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.2.4')).
% 48.27/46.92 ncf('1.2.4.4.2',plain,[-(xn = sdtsldt0(xn, xr)), sdtsldt0(xn, xr) = xn],extension(4 ^ 4,bind([[_148245, _148247], [xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.4.4.2.1',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.2.4')).
% 48.27/46.92 ncf('1.2.4.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(888 ^ 3)).
% 48.27/46.92 ncf('1.2.5',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 2,bind([[_161793, _161795, _162237], [xn, sdtsldt0(xn, xr), xm]]))).
% 48.27/46.92 ncf('1.2.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 48.27/46.92 ncf('1.2.5.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), 612 : sdtsldt0(xn, xr) = sdtsldt0(xn, xr), 612 : aNaturalNumber0(xr), 612 : aNaturalNumber0(xn), 612 : -(xr = sz00), 612 : doDivides0(xr, xn)],extension(596 ^ 3,bind([[_166335, _166337, _166774], [xn, xr, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.5.2.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_148138], [sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.5.2.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 4)).
% 48.27/46.92 ncf('1.2.5.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 48.27/46.92 ncf('1.2.5.2.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 4,bind([[_170312], [xr]]))).
% 48.27/46.92 ncf('1.2.5.2.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 7)).
% 48.27/46.92 ncf('1.2.5.2.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[5, 2, 1].x')).
% 48.27/46.92 ncf('1.2.5.2.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 4)).
% 48.27/46.92 ncf('1.2.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 48.27/46.92 ncf('1.2.5.4',plain,[sdtsldt0(xn, xr) = xn, -(sdtsldt0(xn, xr) = sdtsldt0(xn, xr)), xn = sdtsldt0(xn, xr)],extension(10 ^ 3,bind([[_148449, _148451, _148453], [sdtsldt0(xn, xr), xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.5.4.1',plain,[sdtsldt0(xn, xr) = sdtsldt0(xn, xr), -(sdtsldt0(xn, xr) = xn), sdtsldt0(xn, xr) = xn],extension(10 ^ 4,bind([[_148449, _148451, _148453], [xn, sdtsldt0(xn, xr), sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.5.4.1.1',plain,[sdtsldt0(xn, xr) = xn],extension(886 ^ 5)).
% 48.27/46.92 ncf('1.2.5.4.1.2',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.2.5')).
% 48.27/46.92 ncf('1.2.5.4.2',plain,[-(xn = sdtsldt0(xn, xr)), sdtsldt0(xn, xr) = xn],extension(4 ^ 4,bind([[_148245, _148247], [xn, sdtsldt0(xn, xr)]]))).
% 48.27/46.92 ncf('1.2.5.4.2.1',plain,[-(sdtsldt0(xn, xr) = xn)],reduction('1.2.5')).
% 48.27/46.92 ncf('1.2.5.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(888 ^ 3)).
% 48.27/46.92 %-----------------------------------------------------
% 48.27/46.92 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------