%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM530+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:44:53 EDT 2023
% Result : Theorem 0.33s 1.37s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM530+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 17:02:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.37
% 0.33/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 ncf(matrix, plain, [(892 ^ _112258) ^ [] : [false___, -(false___)], (82 ^ _112258) ^ [_114970, _114972, _114974, _114976] : [-(sdtmndt0(_114976, _114972) = sdtmndt0(_114974, _114970)), _114976 = _114974, _114972 = _114970], (92 ^ _112258) ^ [_115329, _115331, _115333, _115335] : [-(sdtpldt0(_115335, _115331) = sdtpldt0(_115333, _115329)), _115335 = _115333, _115331 = _115329], (102 ^ _112258) ^ [_115688, _115690, _115692, _115694] : [-(sdtsldt0(_115694, _115690) = sdtsldt0(_115692, _115688)), _115694 = _115692, _115690 = _115688], (112 ^ _112258) ^ [_116027, _116029, _116031, _116033] : [-(sdtasdt0(_116033, _116029) = sdtasdt0(_116031, _116027)), _116033 = _116031, _116029 = _116027], (2 ^ _112258) ^ [_112402] : [-(_112402 = _112402)], (4 ^ _112258) ^ [_112509, _112511] : [_112511 = _112509, -(_112509 = _112511)], (10 ^ _112258) ^ [_112713, _112715, _112717] : [-(_112717 = _112713), _112717 = _112715, _112715 = _112713], (20 ^ _112258) ^ [_113026, _113028] : [-(aNaturalNumber0(_113026)), _113028 = _113026, aNaturalNumber0(_113028)], (30 ^ _112258) ^ [_113349, _113351, _113353, _113355] : [-(iLess0(_113353, _113349)), iLess0(_113355, _113351), _113355 = _113353, _113351 = _113349], (44 ^ _112258) ^ [_113793, _113795, _113797, _113799] : [-(doDivides0(_113797, _113793)), doDivides0(_113799, _113795), _113799 = _113797, _113795 = _113793], (72 ^ _112258) ^ [_114633, _114635] : [-(isPrime0(_114633)), _114635 = _114633, isPrime0(_114635)], (58 ^ _112258) ^ [_114237, _114239, _114241, _114243] : [-(sdtlseqdt0(_114241, _114237)), sdtlseqdt0(_114243, _114239), _114243 = _114241, _114239 = _114237], (122 ^ _112258) ^ [_116358] : [aNaturalNumber0(_116358), true___, -(true___)], (132 ^ _112258) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _112258) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _112258) ^ [] : [sz10 = sz00], (138 ^ _112258) ^ [_116787, _116789] : [-(aNaturalNumber0(sdtpldt0(_116789, _116787))), aNaturalNumber0(_116789), aNaturalNumber0(_116787)], (148 ^ _112258) ^ [_117086, _117088] : [-(aNaturalNumber0(sdtasdt0(_117088, _117086))), aNaturalNumber0(_117088), aNaturalNumber0(_117086)], (158 ^ _112258) ^ [_117385, _117387] : [-(sdtpldt0(_117387, _117385) = sdtpldt0(_117385, _117387)), aNaturalNumber0(_117387), aNaturalNumber0(_117385)], (168 ^ _112258) ^ [_117706, _117708, _117710] : [-(sdtpldt0(sdtpldt0(_117710, _117708), _117706) = sdtpldt0(_117710, sdtpldt0(_117708, _117706))), aNaturalNumber0(_117710), aNaturalNumber0(_117708), aNaturalNumber0(_117706)], (182 ^ _112258) ^ [_118112] : [aNaturalNumber0(_118112), 185 ^ _112258 : [(186 ^ _112258) ^ [] : [-(sdtpldt0(_118112, sz00) = _118112)], (188 ^ _112258) ^ [] : [-(_118112 = sdtpldt0(sz00, _118112))]]], (190 ^ _112258) ^ [_118399, _118401] : [-(sdtasdt0(_118401, _118399) = sdtasdt0(_118399, _118401)), aNaturalNumber0(_118401), aNaturalNumber0(_118399)], (200 ^ _112258) ^ [_118720, _118722, _118724] : [-(sdtasdt0(sdtasdt0(_118724, _118722), _118720) = sdtasdt0(_118724, sdtasdt0(_118722, _118720))), aNaturalNumber0(_118724), aNaturalNumber0(_118722), aNaturalNumber0(_118720)], (214 ^ _112258) ^ [_119126] : [aNaturalNumber0(_119126), 217 ^ _112258 : [(218 ^ _112258) ^ [] : [-(sdtasdt0(_119126, sz10) = _119126)], (220 ^ _112258) ^ [] : [-(_119126 = sdtasdt0(sz10, _119126))]]], (222 ^ _112258) ^ [_119399] : [aNaturalNumber0(_119399), 225 ^ _112258 : [(226 ^ _112258) ^ [] : [-(sdtasdt0(_119399, sz00) = sz00)], (228 ^ _112258) ^ [] : [-(sz00 = sdtasdt0(sz00, _119399))]]], (230 ^ _112258) ^ [_119700, _119702, _119704] : [241 ^ _112258 : [(242 ^ _112258) ^ [] : [-(sdtasdt0(_119704, sdtpldt0(_119702, _119700)) = sdtpldt0(sdtasdt0(_119704, _119702), sdtasdt0(_119704, _119700)))], (244 ^ _112258) ^ [] : [-(sdtasdt0(sdtpldt0(_119702, _119700), _119704) = sdtpldt0(sdtasdt0(_119702, _119704), sdtasdt0(_119700, _119704)))]], aNaturalNumber0(_119704), aNaturalNumber0(_119702), aNaturalNumber0(_119700)], (246 ^ _112258) ^ [_120247, _120249, _120251] : [259 ^ _112258 : [(260 ^ _112258) ^ [] : [sdtpldt0(_120251, _120249) = sdtpldt0(_120251, _120247)], (262 ^ _112258) ^ [] : [sdtpldt0(_120249, _120251) = sdtpldt0(_120247, _120251)]], -(_120249 = _120247), aNaturalNumber0(_120251), aNaturalNumber0(_120249), aNaturalNumber0(_120247)], (266 ^ _112258) ^ [_120824] : [aNaturalNumber0(_120824), -(_120824 = sz00), 273 ^ _112258 : [(274 ^ _112258) ^ [_121086, _121088] : [aNaturalNumber0(_121088), aNaturalNumber0(_121086), 283 ^ _112258 : [(284 ^ _112258) ^ [] : [sdtasdt0(_120824, _121088) = sdtasdt0(_120824, _121086)], (286 ^ _112258) ^ [] : [sdtasdt0(_121088, _120824) = sdtasdt0(_121086, _120824)]], -(_121088 = _121086)]]], (290 ^ _112258) ^ [_121597, _121599] : [aNaturalNumber0(_121599), aNaturalNumber0(_121597), sdtpldt0(_121599, _121597) = sz00, 301 ^ _112258 : [(302 ^ _112258) ^ [] : [-(_121599 = sz00)], (304 ^ _112258) ^ [] : [-(_121597 = sz00)]]], (306 ^ _112258) ^ [_122064, _122066] : [aNaturalNumber0(_122066), aNaturalNumber0(_122064), sdtasdt0(_122066, _122064) = sz00, -(_122066 = sz00), -(_122064 = sz00)], (324 ^ _112258) ^ [_122546, _122548] : [aNaturalNumber0(_122548), aNaturalNumber0(_122546), 331 ^ _112258 : [(332 ^ _112258) ^ [] : [sdtlseqdt0(_122548, _122546), 336 ^ _112258 : [(337 ^ _112258) ^ [] : [-(aNaturalNumber0(335 ^ [_122546, _122548]))], (339 ^ _112258) ^ [] : [-(sdtpldt0(_122548, 335 ^ [_122546, _122548]) = _122546)]]], (341 ^ _112258) ^ [] : [-(sdtlseqdt0(_122548, _122546)), 342 ^ _112258 : [(343 ^ _112258) ^ [_123106] : [aNaturalNumber0(_123106), sdtpldt0(_122548, _123106) = _122546]]]]], (351 ^ _112258) ^ [_123389, _123391] : [aNaturalNumber0(_123391), aNaturalNumber0(_123389), sdtlseqdt0(_123391, _123389), 362 ^ _112258 : [(363 ^ _112258) ^ [_123736] : [_123736 = sdtmndt0(_123389, _123391), 366 ^ _112258 : [(367 ^ _112258) ^ [] : [-(aNaturalNumber0(_123736))], (369 ^ _112258) ^ [] : [-(sdtpldt0(_123391, _123736) = _123389)]]], (371 ^ _112258) ^ [_123995] : [-(_123995 = sdtmndt0(_123389, _123391)), aNaturalNumber0(_123995), sdtpldt0(_123391, _123995) = _123389]]], (381 ^ _112258) ^ [_124317] : [aNaturalNumber0(_124317), -(sdtlseqdt0(_124317, _124317))], (387 ^ _112258) ^ [_124519, _124521] : [aNaturalNumber0(_124521), aNaturalNumber0(_124519), -(_124521 = _124519), sdtlseqdt0(_124521, _124519), sdtlseqdt0(_124519, _124521)], (405 ^ _112258) ^ [_125008, _125010, _125012] : [aNaturalNumber0(_125012), aNaturalNumber0(_125010), aNaturalNumber0(_125008), -(sdtlseqdt0(_125012, _125008)), sdtlseqdt0(_125012, _125010), sdtlseqdt0(_125010, _125008)], (427 ^ _112258) ^ [_125594, _125596] : [aNaturalNumber0(_125596), aNaturalNumber0(_125594), -(sdtlseqdt0(_125596, _125594)), 438 ^ _112258 : [(439 ^ _112258) ^ [] : [_125594 = _125596], (441 ^ _112258) ^ [] : [-(sdtlseqdt0(_125594, _125596))]]], (443 ^ _112258) ^ [_126057, _126059] : [aNaturalNumber0(_126059), aNaturalNumber0(_126057), -(_126059 = _126057), sdtlseqdt0(_126059, _126057), 458 ^ _112258 : [(459 ^ _112258) ^ [_126501] : [aNaturalNumber0(_126501), 462 ^ _112258 : [(463 ^ _112258) ^ [] : [sdtpldt0(_126501, _126059) = sdtpldt0(_126501, _126057)], (465 ^ _112258) ^ [] : [-(sdtlseqdt0(sdtpldt0(_126501, _126059), sdtpldt0(_126501, _126057)))], (467 ^ _112258) ^ [] : [sdtpldt0(_126059, _126501) = sdtpldt0(_126057, _126501)], (469 ^ _112258) ^ [] : [-(sdtlseqdt0(sdtpldt0(_126059, _126501), sdtpldt0(_126057, _126501)))]]]]], (471 ^ _112258) ^ [_127025, _127027, _127029] : [aNaturalNumber0(_127029), aNaturalNumber0(_127027), aNaturalNumber0(_127025), 494 ^ _112258 : [(495 ^ _112258) ^ [] : [sdtasdt0(_127029, _127027) = sdtasdt0(_127029, _127025)], (497 ^ _112258) ^ [] : [-(sdtlseqdt0(sdtasdt0(_127029, _127027), sdtasdt0(_127029, _127025)))], (499 ^ _112258) ^ [] : [sdtasdt0(_127027, _127029) = sdtasdt0(_127025, _127029)], (501 ^ _112258) ^ [] : [-(sdtlseqdt0(sdtasdt0(_127027, _127029), sdtasdt0(_127025, _127029)))]], -(_127029 = sz00), -(_127027 = _127025), sdtlseqdt0(_127027, _127025)], (503 ^ _112258) ^ [_127975] : [aNaturalNumber0(_127975), -(_127975 = sz00), -(_127975 = sz10), 514 ^ _112258 : [(515 ^ _112258) ^ [] : [sz10 = _127975], (517 ^ _112258) ^ [] : [-(sdtlseqdt0(sz10, _127975))]]], (519 ^ _112258) ^ [_128423, _128425] : [aNaturalNumber0(_128425), aNaturalNumber0(_128423), -(_128425 = sz00), -(sdtlseqdt0(_128423, sdtasdt0(_128423, _128425)))], (533 ^ _112258) ^ [_128818, _128820] : [aNaturalNumber0(_128820), aNaturalNumber0(_128818), iLess0(_128820, _128818), true___, -(true___)], (551 ^ _112258) ^ [_129278, _129280] : [aNaturalNumber0(_129280), aNaturalNumber0(_129278), -(iLess0(_129280, _129278)), -(_129280 = _129278), sdtlseqdt0(_129280, _129278)], (569 ^ _112258) ^ [_129756, _129758] : [aNaturalNumber0(_129758), aNaturalNumber0(_129756), 576 ^ _112258 : [(577 ^ _112258) ^ [] : [doDivides0(_129758, _129756), 581 ^ _112258 : [(582 ^ _112258) ^ [] : [-(aNaturalNumber0(580 ^ [_129756, _129758]))], (584 ^ _112258) ^ [] : [-(_129756 = sdtasdt0(_129758, 580 ^ [_129756, _129758]))]]], (586 ^ _112258) ^ [] : [-(doDivides0(_129758, _129756)), 587 ^ _112258 : [(588 ^ _112258) ^ [_130316] : [aNaturalNumber0(_130316), _129756 = sdtasdt0(_129758, _130316)]]]]], (596 ^ _112258) ^ [_130599, _130601] : [aNaturalNumber0(_130601), aNaturalNumber0(_130599), -(_130601 = sz00), doDivides0(_130601, _130599), 611 ^ _112258 : [(612 ^ _112258) ^ [_131038] : [_131038 = sdtsldt0(_130599, _130601), 615 ^ _112258 : [(616 ^ _112258) ^ [] : [-(aNaturalNumber0(_131038))], (618 ^ _112258) ^ [] : [-(_130599 = sdtasdt0(_130601, _131038))]]], (620 ^ _112258) ^ [_131297] : [-(_131297 = sdtsldt0(_130599, _130601)), aNaturalNumber0(_131297), _130599 = sdtasdt0(_130601, _131297)]]], (630 ^ _112258) ^ [_131649, _131651, _131653] : [aNaturalNumber0(_131653), aNaturalNumber0(_131651), aNaturalNumber0(_131649), -(doDivides0(_131653, _131649)), doDivides0(_131653, _131651), doDivides0(_131651, _131649)], (652 ^ _112258) ^ [_132249, _132251, _132253] : [aNaturalNumber0(_132253), aNaturalNumber0(_132251), aNaturalNumber0(_132249), -(doDivides0(_132253, sdtpldt0(_132251, _132249))), doDivides0(_132253, _132251), doDivides0(_132253, _132249)], (674 ^ _112258) ^ [_132855, _132857, _132859] : [aNaturalNumber0(_132859), aNaturalNumber0(_132857), aNaturalNumber0(_132855), -(doDivides0(_132859, _132855)), doDivides0(_132859, _132857), doDivides0(_132859, sdtpldt0(_132857, _132855))], (696 ^ _112258) ^ [_133447, _133449] : [aNaturalNumber0(_133449), aNaturalNumber0(_133447), -(sdtlseqdt0(_133449, _133447)), doDivides0(_133449, _133447), -(_133447 = sz00)], (714 ^ _112258) ^ [_133925, _133927] : [aNaturalNumber0(_133927), aNaturalNumber0(_133925), -(_133927 = sz00), doDivides0(_133927, _133925), 729 ^ _112258 : [(730 ^ _112258) ^ [_134335] : [aNaturalNumber0(_134335), -(sdtasdt0(_134335, sdtsldt0(_133925, _133927)) = sdtsldt0(sdtasdt0(_134335, _133925), _133927))]]], (736 ^ _112258) ^ [_134576] : [aNaturalNumber0(_134576), 739 ^ _112258 : [(762 ^ _112258) ^ [] : [-(isPrime0(_134576)), -(_134576 = sz00), -(_134576 = sz10), 772 ^ _112258 : [(773 ^ _112258) ^ [] : [-(aNaturalNumber0(771 ^ [_134576]))], (775 ^ _112258) ^ [] : [-(doDivides0(771 ^ [_134576], _134576))], (777 ^ _112258) ^ [] : [771 ^ [_134576] = sz10], (779 ^ _112258) ^ [] : [771 ^ [_134576] = _134576]]], (740 ^ _112258) ^ [] : [isPrime0(_134576), 743 ^ _112258 : [(744 ^ _112258) ^ [] : [_134576 = sz00], (746 ^ _112258) ^ [] : [_134576 = sz10], (748 ^ _112258) ^ [_134968] : [aNaturalNumber0(_134968), doDivides0(_134968, _134576), -(_134968 = sz10), -(_134968 = _134576)]]]]], (783 ^ _112258) ^ [_135920] : [795 ^ _112258 : [(796 ^ _112258) ^ [] : [-(aNaturalNumber0(794 ^ [_135920]))], (798 ^ _112258) ^ [] : [-(doDivides0(794 ^ [_135920], _135920))], (800 ^ _112258) ^ [] : [-(isPrime0(794 ^ [_135920]))]], aNaturalNumber0(_135920), -(_135920 = sz00), -(_135920 = sz10)], (802 ^ _112258) ^ [_136524, _136526, _136528] : [aNaturalNumber0(_136528), aNaturalNumber0(_136526), aNaturalNumber0(_136524), isPrime0(_136524), doDivides0(_136524, sdtasdt0(_136528, _136526)), -(doDivides0(_136524, _136528)), -(doDivides0(_136524, _136526))], (828 ^ _112258) ^ [] : [-(aNaturalNumber0(xn))], (830 ^ _112258) ^ [] : [-(aNaturalNumber0(xm))], (832 ^ _112258) ^ [] : [-(aNaturalNumber0(xp))], (834 ^ _112258) ^ [] : [xn = sz00], (836 ^ _112258) ^ [] : [xm = sz00], (838 ^ _112258) ^ [] : [xp = sz00], (874 ^ _112258) ^ [] : [-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))], (876 ^ _112258) ^ [] : [-(isPrime0(xp))], (878 ^ _112258) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xn)))], (880 ^ _112258) ^ [] : [-(doDivides0(xp, xn))], (882 ^ _112258) ^ [] : [-(xq = sdtsldt0(xn, xp))], (884 ^ _112258) ^ [] : [-(sdtasdt0(xm, xm) = sdtasdt0(xp, sdtasdt0(xq, xq)))], (886 ^ _112258) ^ [] : [xm = xn], (888 ^ _112258) ^ [] : [-(sdtlseqdt0(xm, xn))], (890 ^ _112258) ^ [] : [isPrime0(xp)], (840 ^ _112258) ^ [_137549, _137551, _137553] : [sdtasdt0(_137549, sdtasdt0(_137551, _137551)) = sdtasdt0(_137553, _137553), iLess0(_137553, xn), isPrime0(_137549), aNaturalNumber0(_137553), aNaturalNumber0(_137551), aNaturalNumber0(_137549), -(_137553 = sz00), -(_137551 = sz00), -(_137549 = sz00)]], input).
% 0.33/1.37 ncf('1',plain,[isPrime0(xp)],start(890 ^ 0)).
% 0.33/1.37 ncf('1.1',plain,[-(isPrime0(xp))],extension(876 ^ 1)).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------