%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM484+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:44:45 EDT 2023
% Result : Theorem 0.33s 1.36s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM484+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n027.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 16:57:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.36
% 0.33/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.36 %-----------------------------------------------------
% 0.33/1.36 ncf(matrix, plain, [(861 ^ _113891) ^ [_140438] : [aNaturalNumber0(_140438), 866 ^ _113891 : [(873 ^ _113891) ^ [] : [doDivides0(_140438, xk)], (867 ^ _113891) ^ [_140697] : [aNaturalNumber0(_140697), xk = sdtasdt0(_140438, _140697)]], 874 ^ _113891 : [(897 ^ _113891) ^ [] : [isPrime0(_140438)], (875 ^ _113891) ^ [] : [-(_140438 = sz00), -(_140438 = sz10), 883 ^ _113891 : [(884 ^ _113891) ^ [] : [-(aNaturalNumber0(882 ^ [_140438]))], (887 ^ _113891) ^ [] : [-(aNaturalNumber0(885 ^ [_140438]))], (889 ^ _113891) ^ [] : [-(_140438 = sdtasdt0(882 ^ [_140438], 885 ^ [_140438]))], (891 ^ _113891) ^ [] : [-(doDivides0(882 ^ [_140438], _140438))], (893 ^ _113891) ^ [] : [882 ^ [_140438] = sz10], (895 ^ _113891) ^ [] : [882 ^ [_140438] = _140438]]]]], (82 ^ _113891) ^ [_116603, _116605, _116607, _116609] : [-(sdtmndt0(_116609, _116605) = sdtmndt0(_116607, _116603)), _116609 = _116607, _116605 = _116603], (92 ^ _113891) ^ [_116962, _116964, _116966, _116968] : [-(sdtpldt0(_116968, _116964) = sdtpldt0(_116966, _116962)), _116968 = _116966, _116964 = _116962], (102 ^ _113891) ^ [_117321, _117323, _117325, _117327] : [-(sdtsldt0(_117327, _117323) = sdtsldt0(_117325, _117321)), _117327 = _117325, _117323 = _117321], (112 ^ _113891) ^ [_117660, _117662, _117664, _117666] : [-(sdtasdt0(_117666, _117662) = sdtasdt0(_117664, _117660)), _117666 = _117664, _117662 = _117660], (2 ^ _113891) ^ [_114035] : [-(_114035 = _114035)], (4 ^ _113891) ^ [_114142, _114144] : [_114144 = _114142, -(_114142 = _114144)], (10 ^ _113891) ^ [_114346, _114348, _114350] : [-(_114350 = _114346), _114350 = _114348, _114348 = _114346], (20 ^ _113891) ^ [_114687, _114689, _114691, _114693] : [-(sdtlseqdt0(_114691, _114687)), sdtlseqdt0(_114693, _114689), _114693 = _114691, _114689 = _114687], (34 ^ _113891) ^ [_115131, _115133, _115135, _115137] : [-(iLess0(_115135, _115131)), iLess0(_115137, _115133), _115137 = _115135, _115133 = _115131], (48 ^ _113891) ^ [_115547, _115549] : [-(aNaturalNumber0(_115547)), _115549 = _115547, aNaturalNumber0(_115549)], (72 ^ _113891) ^ [_116266, _116268] : [-(isPrime0(_116266)), _116268 = _116266, isPrime0(_116268)], (58 ^ _113891) ^ [_115870, _115872, _115874, _115876] : [-(doDivides0(_115874, _115870)), doDivides0(_115876, _115872), _115876 = _115874, _115872 = _115870], (122 ^ _113891) ^ [_117991] : [aNaturalNumber0(_117991), true___, -(true___)], (132 ^ _113891) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _113891) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _113891) ^ [] : [sz10 = sz00], (138 ^ _113891) ^ [_118420, _118422] : [-(aNaturalNumber0(sdtpldt0(_118422, _118420))), aNaturalNumber0(_118422), aNaturalNumber0(_118420)], (148 ^ _113891) ^ [_118719, _118721] : [-(aNaturalNumber0(sdtasdt0(_118721, _118719))), aNaturalNumber0(_118721), aNaturalNumber0(_118719)], (158 ^ _113891) ^ [_119018, _119020] : [-(sdtpldt0(_119020, _119018) = sdtpldt0(_119018, _119020)), aNaturalNumber0(_119020), aNaturalNumber0(_119018)], (168 ^ _113891) ^ [_119339, _119341, _119343] : [-(sdtpldt0(sdtpldt0(_119343, _119341), _119339) = sdtpldt0(_119343, sdtpldt0(_119341, _119339))), aNaturalNumber0(_119343), aNaturalNumber0(_119341), aNaturalNumber0(_119339)], (182 ^ _113891) ^ [_119745] : [aNaturalNumber0(_119745), 185 ^ _113891 : [(186 ^ _113891) ^ [] : [-(sdtpldt0(_119745, sz00) = _119745)], (188 ^ _113891) ^ [] : [-(_119745 = sdtpldt0(sz00, _119745))]]], (190 ^ _113891) ^ [_120032, _120034] : [-(sdtasdt0(_120034, _120032) = sdtasdt0(_120032, _120034)), aNaturalNumber0(_120034), aNaturalNumber0(_120032)], (200 ^ _113891) ^ [_120353, _120355, _120357] : [-(sdtasdt0(sdtasdt0(_120357, _120355), _120353) = sdtasdt0(_120357, sdtasdt0(_120355, _120353))), aNaturalNumber0(_120357), aNaturalNumber0(_120355), aNaturalNumber0(_120353)], (214 ^ _113891) ^ [_120759] : [aNaturalNumber0(_120759), 217 ^ _113891 : [(218 ^ _113891) ^ [] : [-(sdtasdt0(_120759, sz10) = _120759)], (220 ^ _113891) ^ [] : [-(_120759 = sdtasdt0(sz10, _120759))]]], (222 ^ _113891) ^ [_121032] : [aNaturalNumber0(_121032), 225 ^ _113891 : [(226 ^ _113891) ^ [] : [-(sdtasdt0(_121032, sz00) = sz00)], (228 ^ _113891) ^ [] : [-(sz00 = sdtasdt0(sz00, _121032))]]], (230 ^ _113891) ^ [_121333, _121335, _121337] : [241 ^ _113891 : [(242 ^ _113891) ^ [] : [-(sdtasdt0(_121337, sdtpldt0(_121335, _121333)) = sdtpldt0(sdtasdt0(_121337, _121335), sdtasdt0(_121337, _121333)))], (244 ^ _113891) ^ [] : [-(sdtasdt0(sdtpldt0(_121335, _121333), _121337) = sdtpldt0(sdtasdt0(_121335, _121337), sdtasdt0(_121333, _121337)))]], aNaturalNumber0(_121337), aNaturalNumber0(_121335), aNaturalNumber0(_121333)], (246 ^ _113891) ^ [_121880, _121882, _121884] : [259 ^ _113891 : [(260 ^ _113891) ^ [] : [sdtpldt0(_121884, _121882) = sdtpldt0(_121884, _121880)], (262 ^ _113891) ^ [] : [sdtpldt0(_121882, _121884) = sdtpldt0(_121880, _121884)]], -(_121882 = _121880), aNaturalNumber0(_121884), aNaturalNumber0(_121882), aNaturalNumber0(_121880)], (266 ^ _113891) ^ [_122457] : [aNaturalNumber0(_122457), -(_122457 = sz00), 273 ^ _113891 : [(274 ^ _113891) ^ [_122719, _122721] : [aNaturalNumber0(_122721), aNaturalNumber0(_122719), 283 ^ _113891 : [(284 ^ _113891) ^ [] : [sdtasdt0(_122457, _122721) = sdtasdt0(_122457, _122719)], (286 ^ _113891) ^ [] : [sdtasdt0(_122721, _122457) = sdtasdt0(_122719, _122457)]], -(_122721 = _122719)]]], (290 ^ _113891) ^ [_123230, _123232] : [aNaturalNumber0(_123232), aNaturalNumber0(_123230), sdtpldt0(_123232, _123230) = sz00, 301 ^ _113891 : [(302 ^ _113891) ^ [] : [-(_123232 = sz00)], (304 ^ _113891) ^ [] : [-(_123230 = sz00)]]], (306 ^ _113891) ^ [_123697, _123699] : [aNaturalNumber0(_123699), aNaturalNumber0(_123697), sdtasdt0(_123699, _123697) = sz00, -(_123699 = sz00), -(_123697 = sz00)], (324 ^ _113891) ^ [_124179, _124181] : [aNaturalNumber0(_124181), aNaturalNumber0(_124179), 331 ^ _113891 : [(332 ^ _113891) ^ [] : [sdtlseqdt0(_124181, _124179), 336 ^ _113891 : [(337 ^ _113891) ^ [] : [-(aNaturalNumber0(335 ^ [_124179, _124181]))], (339 ^ _113891) ^ [] : [-(sdtpldt0(_124181, 335 ^ [_124179, _124181]) = _124179)]]], (341 ^ _113891) ^ [] : [-(sdtlseqdt0(_124181, _124179)), 342 ^ _113891 : [(343 ^ _113891) ^ [_124739] : [aNaturalNumber0(_124739), sdtpldt0(_124181, _124739) = _124179]]]]], (351 ^ _113891) ^ [_125022, _125024] : [aNaturalNumber0(_125024), aNaturalNumber0(_125022), sdtlseqdt0(_125024, _125022), 362 ^ _113891 : [(363 ^ _113891) ^ [_125369] : [_125369 = sdtmndt0(_125022, _125024), 366 ^ _113891 : [(367 ^ _113891) ^ [] : [-(aNaturalNumber0(_125369))], (369 ^ _113891) ^ [] : [-(sdtpldt0(_125024, _125369) = _125022)]]], (371 ^ _113891) ^ [_125628] : [-(_125628 = sdtmndt0(_125022, _125024)), aNaturalNumber0(_125628), sdtpldt0(_125024, _125628) = _125022]]], (381 ^ _113891) ^ [_125950] : [aNaturalNumber0(_125950), -(sdtlseqdt0(_125950, _125950))], (387 ^ _113891) ^ [_126152, _126154] : [aNaturalNumber0(_126154), aNaturalNumber0(_126152), -(_126154 = _126152), sdtlseqdt0(_126154, _126152), sdtlseqdt0(_126152, _126154)], (405 ^ _113891) ^ [_126641, _126643, _126645] : [aNaturalNumber0(_126645), aNaturalNumber0(_126643), aNaturalNumber0(_126641), -(sdtlseqdt0(_126645, _126641)), sdtlseqdt0(_126645, _126643), sdtlseqdt0(_126643, _126641)], (427 ^ _113891) ^ [_127227, _127229] : [aNaturalNumber0(_127229), aNaturalNumber0(_127227), -(sdtlseqdt0(_127229, _127227)), 438 ^ _113891 : [(439 ^ _113891) ^ [] : [_127227 = _127229], (441 ^ _113891) ^ [] : [-(sdtlseqdt0(_127227, _127229))]]], (443 ^ _113891) ^ [_127690, _127692] : [aNaturalNumber0(_127692), aNaturalNumber0(_127690), -(_127692 = _127690), sdtlseqdt0(_127692, _127690), 458 ^ _113891 : [(459 ^ _113891) ^ [_128134] : [aNaturalNumber0(_128134), 462 ^ _113891 : [(463 ^ _113891) ^ [] : [sdtpldt0(_128134, _127692) = sdtpldt0(_128134, _127690)], (465 ^ _113891) ^ [] : [-(sdtlseqdt0(sdtpldt0(_128134, _127692), sdtpldt0(_128134, _127690)))], (467 ^ _113891) ^ [] : [sdtpldt0(_127692, _128134) = sdtpldt0(_127690, _128134)], (469 ^ _113891) ^ [] : [-(sdtlseqdt0(sdtpldt0(_127692, _128134), sdtpldt0(_127690, _128134)))]]]]], (471 ^ _113891) ^ [_128658, _128660, _128662] : [aNaturalNumber0(_128662), aNaturalNumber0(_128660), aNaturalNumber0(_128658), 494 ^ _113891 : [(495 ^ _113891) ^ [] : [sdtasdt0(_128662, _128660) = sdtasdt0(_128662, _128658)], (497 ^ _113891) ^ [] : [-(sdtlseqdt0(sdtasdt0(_128662, _128660), sdtasdt0(_128662, _128658)))], (499 ^ _113891) ^ [] : [sdtasdt0(_128660, _128662) = sdtasdt0(_128658, _128662)], (501 ^ _113891) ^ [] : [-(sdtlseqdt0(sdtasdt0(_128660, _128662), sdtasdt0(_128658, _128662)))]], -(_128662 = sz00), -(_128660 = _128658), sdtlseqdt0(_128660, _128658)], (503 ^ _113891) ^ [_129608] : [aNaturalNumber0(_129608), -(_129608 = sz00), -(_129608 = sz10), 514 ^ _113891 : [(515 ^ _113891) ^ [] : [sz10 = _129608], (517 ^ _113891) ^ [] : [-(sdtlseqdt0(sz10, _129608))]]], (519 ^ _113891) ^ [_130056, _130058] : [aNaturalNumber0(_130058), aNaturalNumber0(_130056), -(_130058 = sz00), -(sdtlseqdt0(_130056, sdtasdt0(_130056, _130058)))], (533 ^ _113891) ^ [_130451, _130453] : [aNaturalNumber0(_130453), aNaturalNumber0(_130451), iLess0(_130453, _130451), true___, -(true___)], (551 ^ _113891) ^ [_130911, _130913] : [aNaturalNumber0(_130913), aNaturalNumber0(_130911), -(iLess0(_130913, _130911)), -(_130913 = _130911), sdtlseqdt0(_130913, _130911)], (569 ^ _113891) ^ [_131389, _131391] : [aNaturalNumber0(_131391), aNaturalNumber0(_131389), 576 ^ _113891 : [(577 ^ _113891) ^ [] : [doDivides0(_131391, _131389), 581 ^ _113891 : [(582 ^ _113891) ^ [] : [-(aNaturalNumber0(580 ^ [_131389, _131391]))], (584 ^ _113891) ^ [] : [-(_131389 = sdtasdt0(_131391, 580 ^ [_131389, _131391]))]]], (586 ^ _113891) ^ [] : [-(doDivides0(_131391, _131389)), 587 ^ _113891 : [(588 ^ _113891) ^ [_131949] : [aNaturalNumber0(_131949), _131389 = sdtasdt0(_131391, _131949)]]]]], (596 ^ _113891) ^ [_132232, _132234] : [aNaturalNumber0(_132234), aNaturalNumber0(_132232), -(_132234 = sz00), doDivides0(_132234, _132232), 611 ^ _113891 : [(612 ^ _113891) ^ [_132671] : [_132671 = sdtsldt0(_132232, _132234), 615 ^ _113891 : [(616 ^ _113891) ^ [] : [-(aNaturalNumber0(_132671))], (618 ^ _113891) ^ [] : [-(_132232 = sdtasdt0(_132234, _132671))]]], (620 ^ _113891) ^ [_132930] : [-(_132930 = sdtsldt0(_132232, _132234)), aNaturalNumber0(_132930), _132232 = sdtasdt0(_132234, _132930)]]], (630 ^ _113891) ^ [_133282, _133284, _133286] : [aNaturalNumber0(_133286), aNaturalNumber0(_133284), aNaturalNumber0(_133282), -(doDivides0(_133286, _133282)), doDivides0(_133286, _133284), doDivides0(_133284, _133282)], (652 ^ _113891) ^ [_133882, _133884, _133886] : [aNaturalNumber0(_133886), aNaturalNumber0(_133884), aNaturalNumber0(_133882), -(doDivides0(_133886, sdtpldt0(_133884, _133882))), doDivides0(_133886, _133884), doDivides0(_133886, _133882)], (674 ^ _113891) ^ [_134488, _134490, _134492] : [aNaturalNumber0(_134492), aNaturalNumber0(_134490), aNaturalNumber0(_134488), -(doDivides0(_134492, _134488)), doDivides0(_134492, _134490), doDivides0(_134492, sdtpldt0(_134490, _134488))], (696 ^ _113891) ^ [_135080, _135082] : [aNaturalNumber0(_135082), aNaturalNumber0(_135080), -(sdtlseqdt0(_135082, _135080)), doDivides0(_135082, _135080), -(_135080 = sz00)], (714 ^ _113891) ^ [_135558, _135560] : [aNaturalNumber0(_135560), aNaturalNumber0(_135558), -(_135560 = sz00), doDivides0(_135560, _135558), 729 ^ _113891 : [(730 ^ _113891) ^ [_135968] : [aNaturalNumber0(_135968), -(sdtasdt0(_135968, sdtsldt0(_135558, _135560)) = sdtsldt0(sdtasdt0(_135968, _135558), _135560))]]], (783 ^ _113891) ^ [] : [-(aNaturalNumber0(xk))], (837 ^ _113891) ^ [] : [xk = sz00], (839 ^ _113891) ^ [] : [xk = sz10], (842 ^ _113891) ^ [] : [-(aNaturalNumber0(840 ^ []))], (845 ^ _113891) ^ [] : [-(aNaturalNumber0(843 ^ []))], (847 ^ _113891) ^ [] : [-(xk = sdtasdt0(840 ^ [], 843 ^ []))], (849 ^ _113891) ^ [] : [-(doDivides0(840 ^ [], xk))], (851 ^ _113891) ^ [] : [840 ^ [] = sz10], (853 ^ _113891) ^ [] : [840 ^ [] = xk], (855 ^ _113891) ^ [] : [isPrime0(xk)], (857 ^ _113891) ^ [] : [-(false___)], (859 ^ _113891) ^ [] : [false___], (785 ^ _113891) ^ [_137606] : [aNaturalNumber0(_137606), -(_137606 = sz00), -(_137606 = sz10), iLess0(_137606, xk), 801 ^ _113891 : [(802 ^ _113891) ^ [] : [-(aNaturalNumber0(800 ^ [_137606]))], (805 ^ _113891) ^ [] : [-(aNaturalNumber0(803 ^ [_137606]))], (807 ^ _113891) ^ [] : [-(_137606 = sdtasdt0(800 ^ [_137606], 803 ^ [_137606]))], (809 ^ _113891) ^ [] : [-(doDivides0(800 ^ [_137606], _137606))], (811 ^ _113891) ^ [] : [800 ^ [_137606] = sz00], (813 ^ _113891) ^ [] : [800 ^ [_137606] = sz10], (835 ^ _113891) ^ [] : [-(isPrime0(800 ^ [_137606]))], (815 ^ _113891) ^ [_138707] : [-(_138707 = sz10), -(_138707 = 800 ^ [_137606]), aNaturalNumber0(_138707), 820 ^ _113891 : [(827 ^ _113891) ^ [] : [doDivides0(_138707, 800 ^ [_137606])], (821 ^ _113891) ^ [_138933] : [aNaturalNumber0(_138933), 800 ^ [_137606] = sdtasdt0(_138707, _138933)]]]]], (736 ^ _113891) ^ [_136209] : [aNaturalNumber0(_136209), 739 ^ _113891 : [(762 ^ _113891) ^ [] : [-(isPrime0(_136209)), -(_136209 = sz00), -(_136209 = sz10), 772 ^ _113891 : [(773 ^ _113891) ^ [] : [-(aNaturalNumber0(771 ^ [_136209]))], (775 ^ _113891) ^ [] : [-(doDivides0(771 ^ [_136209], _136209))], (777 ^ _113891) ^ [] : [771 ^ [_136209] = sz10], (779 ^ _113891) ^ [] : [771 ^ [_136209] = _136209]]], (740 ^ _113891) ^ [] : [isPrime0(_136209), 743 ^ _113891 : [(744 ^ _113891) ^ [] : [_136209 = sz00], (746 ^ _113891) ^ [] : [_136209 = sz10], (748 ^ _113891) ^ [_136601] : [aNaturalNumber0(_136601), doDivides0(_136601, _136209), -(_136601 = sz10), -(_136601 = _136209)]]]]]], input).
% 0.33/1.36 ncf('1',plain,[false___],start(859 ^ 0)).
% 0.33/1.36 ncf('1.1',plain,[-(false___)],extension(857 ^ 1)).
% 0.33/1.36 %-----------------------------------------------------
% 0.33/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------