TSTP Solution File: NUM519+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM519+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:44:51 EDT 2023
% Result : Theorem 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM519+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 17:24:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(888 ^ _112754) ^ [] : [doDivides0(xp, xn)], (890 ^ _112754) ^ [] : [doDivides0(xp, xm)], (82 ^ _112754) ^ [_115466, _115468, _115470, _115472] : [-(sdtmndt0(_115472, _115468) = sdtmndt0(_115470, _115466)), _115472 = _115470, _115468 = _115466], (92 ^ _112754) ^ [_115825, _115827, _115829, _115831] : [-(sdtpldt0(_115831, _115827) = sdtpldt0(_115829, _115825)), _115831 = _115829, _115827 = _115825], (102 ^ _112754) ^ [_116184, _116186, _116188, _116190] : [-(sdtsldt0(_116190, _116186) = sdtsldt0(_116188, _116184)), _116190 = _116188, _116186 = _116184], (112 ^ _112754) ^ [_116523, _116525, _116527, _116529] : [-(sdtasdt0(_116529, _116525) = sdtasdt0(_116527, _116523)), _116529 = _116527, _116525 = _116523], (2 ^ _112754) ^ [_112898] : [-(_112898 = _112898)], (4 ^ _112754) ^ [_113005, _113007] : [_113007 = _113005, -(_113005 = _113007)], (10 ^ _112754) ^ [_113209, _113211, _113213] : [-(_113213 = _113209), _113213 = _113211, _113211 = _113209], (20 ^ _112754) ^ [_113550, _113552, _113554, _113556] : [-(iLess0(_113554, _113550)), iLess0(_113556, _113552), _113556 = _113554, _113552 = _113550], (34 ^ _112754) ^ [_113966, _113968] : [-(aNaturalNumber0(_113966)), _113968 = _113966, aNaturalNumber0(_113968)], (44 ^ _112754) ^ [_114261, _114263] : [-(isPrime0(_114261)), _114263 = _114261, isPrime0(_114263)], (54 ^ _112754) ^ [_114584, _114586, _114588, _114590] : [-(sdtlseqdt0(_114588, _114584)), sdtlseqdt0(_114590, _114586), _114590 = _114588, _114586 = _114584], (68 ^ _112754) ^ [_115008, _115010, _115012, _115014] : [-(doDivides0(_115012, _115008)), doDivides0(_115014, _115010), _115014 = _115012, _115010 = _115008], (122 ^ _112754) ^ [_116854] : [aNaturalNumber0(_116854), true___, -(true___)], (132 ^ _112754) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _112754) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _112754) ^ [] : [sz10 = sz00], (138 ^ _112754) ^ [_117283, _117285] : [-(aNaturalNumber0(sdtpldt0(_117285, _117283))), aNaturalNumber0(_117285), aNaturalNumber0(_117283)], (148 ^ _112754) ^ [_117582, _117584] : [-(aNaturalNumber0(sdtasdt0(_117584, _117582))), aNaturalNumber0(_117584), aNaturalNumber0(_117582)], (158 ^ _112754) ^ [_117881, _117883] : [-(sdtpldt0(_117883, _117881) = sdtpldt0(_117881, _117883)), aNaturalNumber0(_117883), aNaturalNumber0(_117881)], (168 ^ _112754) ^ [_118202, _118204, _118206] : [-(sdtpldt0(sdtpldt0(_118206, _118204), _118202) = sdtpldt0(_118206, sdtpldt0(_118204, _118202))), aNaturalNumber0(_118206), aNaturalNumber0(_118204), aNaturalNumber0(_118202)], (182 ^ _112754) ^ [_118608] : [aNaturalNumber0(_118608), 185 ^ _112754 : [(186 ^ _112754) ^ [] : [-(sdtpldt0(_118608, sz00) = _118608)], (188 ^ _112754) ^ [] : [-(_118608 = sdtpldt0(sz00, _118608))]]], (190 ^ _112754) ^ [_118895, _118897] : [-(sdtasdt0(_118897, _118895) = sdtasdt0(_118895, _118897)), aNaturalNumber0(_118897), aNaturalNumber0(_118895)], (200 ^ _112754) ^ [_119216, _119218, _119220] : [-(sdtasdt0(sdtasdt0(_119220, _119218), _119216) = sdtasdt0(_119220, sdtasdt0(_119218, _119216))), aNaturalNumber0(_119220), aNaturalNumber0(_119218), aNaturalNumber0(_119216)], (214 ^ _112754) ^ [_119622] : [aNaturalNumber0(_119622), 217 ^ _112754 : [(218 ^ _112754) ^ [] : [-(sdtasdt0(_119622, sz10) = _119622)], (220 ^ _112754) ^ [] : [-(_119622 = sdtasdt0(sz10, _119622))]]], (222 ^ _112754) ^ [_119895] : [aNaturalNumber0(_119895), 225 ^ _112754 : [(226 ^ _112754) ^ [] : [-(sdtasdt0(_119895, sz00) = sz00)], (228 ^ _112754) ^ [] : [-(sz00 = sdtasdt0(sz00, _119895))]]], (230 ^ _112754) ^ [_120196, _120198, _120200] : [241 ^ _112754 : [(242 ^ _112754) ^ [] : [-(sdtasdt0(_120200, sdtpldt0(_120198, _120196)) = sdtpldt0(sdtasdt0(_120200, _120198), sdtasdt0(_120200, _120196)))], (244 ^ _112754) ^ [] : [-(sdtasdt0(sdtpldt0(_120198, _120196), _120200) = sdtpldt0(sdtasdt0(_120198, _120200), sdtasdt0(_120196, _120200)))]], aNaturalNumber0(_120200), aNaturalNumber0(_120198), aNaturalNumber0(_120196)], (246 ^ _112754) ^ [_120743, _120745, _120747] : [259 ^ _112754 : [(260 ^ _112754) ^ [] : [sdtpldt0(_120747, _120745) = sdtpldt0(_120747, _120743)], (262 ^ _112754) ^ [] : [sdtpldt0(_120745, _120747) = sdtpldt0(_120743, _120747)]], -(_120745 = _120743), aNaturalNumber0(_120747), aNaturalNumber0(_120745), aNaturalNumber0(_120743)], (266 ^ _112754) ^ [_121320] : [aNaturalNumber0(_121320), -(_121320 = sz00), 273 ^ _112754 : [(274 ^ _112754) ^ [_121582, _121584] : [aNaturalNumber0(_121584), aNaturalNumber0(_121582), 283 ^ _112754 : [(284 ^ _112754) ^ [] : [sdtasdt0(_121320, _121584) = sdtasdt0(_121320, _121582)], (286 ^ _112754) ^ [] : [sdtasdt0(_121584, _121320) = sdtasdt0(_121582, _121320)]], -(_121584 = _121582)]]], (290 ^ _112754) ^ [_122093, _122095] : [aNaturalNumber0(_122095), aNaturalNumber0(_122093), sdtpldt0(_122095, _122093) = sz00, 301 ^ _112754 : [(302 ^ _112754) ^ [] : [-(_122095 = sz00)], (304 ^ _112754) ^ [] : [-(_122093 = sz00)]]], (306 ^ _112754) ^ [_122560, _122562] : [aNaturalNumber0(_122562), aNaturalNumber0(_122560), sdtasdt0(_122562, _122560) = sz00, -(_122562 = sz00), -(_122560 = sz00)], (324 ^ _112754) ^ [_123042, _123044] : [aNaturalNumber0(_123044), aNaturalNumber0(_123042), 331 ^ _112754 : [(332 ^ _112754) ^ [] : [sdtlseqdt0(_123044, _123042), 336 ^ _112754 : [(337 ^ _112754) ^ [] : [-(aNaturalNumber0(335 ^ [_123042, _123044]))], (339 ^ _112754) ^ [] : [-(sdtpldt0(_123044, 335 ^ [_123042, _123044]) = _123042)]]], (341 ^ _112754) ^ [] : [-(sdtlseqdt0(_123044, _123042)), 342 ^ _112754 : [(343 ^ _112754) ^ [_123602] : [aNaturalNumber0(_123602), sdtpldt0(_123044, _123602) = _123042]]]]], (351 ^ _112754) ^ [_123885, _123887] : [aNaturalNumber0(_123887), aNaturalNumber0(_123885), sdtlseqdt0(_123887, _123885), 362 ^ _112754 : [(363 ^ _112754) ^ [_124232] : [_124232 = sdtmndt0(_123885, _123887), 366 ^ _112754 : [(367 ^ _112754) ^ [] : [-(aNaturalNumber0(_124232))], (369 ^ _112754) ^ [] : [-(sdtpldt0(_123887, _124232) = _123885)]]], (371 ^ _112754) ^ [_124491] : [-(_124491 = sdtmndt0(_123885, _123887)), aNaturalNumber0(_124491), sdtpldt0(_123887, _124491) = _123885]]], (381 ^ _112754) ^ [_124813] : [aNaturalNumber0(_124813), -(sdtlseqdt0(_124813, _124813))], (387 ^ _112754) ^ [_125015, _125017] : [aNaturalNumber0(_125017), aNaturalNumber0(_125015), -(_125017 = _125015), sdtlseqdt0(_125017, _125015), sdtlseqdt0(_125015, _125017)], (405 ^ _112754) ^ [_125504, _125506, _125508] : [aNaturalNumber0(_125508), aNaturalNumber0(_125506), aNaturalNumber0(_125504), -(sdtlseqdt0(_125508, _125504)), sdtlseqdt0(_125508, _125506), sdtlseqdt0(_125506, _125504)], (427 ^ _112754) ^ [_126090, _126092] : [aNaturalNumber0(_126092), aNaturalNumber0(_126090), -(sdtlseqdt0(_126092, _126090)), 438 ^ _112754 : [(439 ^ _112754) ^ [] : [_126090 = _126092], (441 ^ _112754) ^ [] : [-(sdtlseqdt0(_126090, _126092))]]], (443 ^ _112754) ^ [_126553, _126555] : [aNaturalNumber0(_126555), aNaturalNumber0(_126553), -(_126555 = _126553), sdtlseqdt0(_126555, _126553), 458 ^ _112754 : [(459 ^ _112754) ^ [_126997] : [aNaturalNumber0(_126997), 462 ^ _112754 : [(463 ^ _112754) ^ [] : [sdtpldt0(_126997, _126555) = sdtpldt0(_126997, _126553)], (465 ^ _112754) ^ [] : [-(sdtlseqdt0(sdtpldt0(_126997, _126555), sdtpldt0(_126997, _126553)))], (467 ^ _112754) ^ [] : [sdtpldt0(_126555, _126997) = sdtpldt0(_126553, _126997)], (469 ^ _112754) ^ [] : [-(sdtlseqdt0(sdtpldt0(_126555, _126997), sdtpldt0(_126553, _126997)))]]]]], (471 ^ _112754) ^ [_127521, _127523, _127525] : [aNaturalNumber0(_127525), aNaturalNumber0(_127523), aNaturalNumber0(_127521), 494 ^ _112754 : [(495 ^ _112754) ^ [] : [sdtasdt0(_127525, _127523) = sdtasdt0(_127525, _127521)], (497 ^ _112754) ^ [] : [-(sdtlseqdt0(sdtasdt0(_127525, _127523), sdtasdt0(_127525, _127521)))], (499 ^ _112754) ^ [] : [sdtasdt0(_127523, _127525) = sdtasdt0(_127521, _127525)], (501 ^ _112754) ^ [] : [-(sdtlseqdt0(sdtasdt0(_127523, _127525), sdtasdt0(_127521, _127525)))]], -(_127525 = sz00), -(_127523 = _127521), sdtlseqdt0(_127523, _127521)], (503 ^ _112754) ^ [_128471] : [aNaturalNumber0(_128471), -(_128471 = sz00), -(_128471 = sz10), 514 ^ _112754 : [(515 ^ _112754) ^ [] : [sz10 = _128471], (517 ^ _112754) ^ [] : [-(sdtlseqdt0(sz10, _128471))]]], (519 ^ _112754) ^ [_128919, _128921] : [aNaturalNumber0(_128921), aNaturalNumber0(_128919), -(_128921 = sz00), -(sdtlseqdt0(_128919, sdtasdt0(_128919, _128921)))], (533 ^ _112754) ^ [_129314, _129316] : [aNaturalNumber0(_129316), aNaturalNumber0(_129314), iLess0(_129316, _129314), true___, -(true___)], (551 ^ _112754) ^ [_129774, _129776] : [aNaturalNumber0(_129776), aNaturalNumber0(_129774), -(iLess0(_129776, _129774)), -(_129776 = _129774), sdtlseqdt0(_129776, _129774)], (569 ^ _112754) ^ [_130252, _130254] : [aNaturalNumber0(_130254), aNaturalNumber0(_130252), 576 ^ _112754 : [(577 ^ _112754) ^ [] : [doDivides0(_130254, _130252), 581 ^ _112754 : [(582 ^ _112754) ^ [] : [-(aNaturalNumber0(580 ^ [_130252, _130254]))], (584 ^ _112754) ^ [] : [-(_130252 = sdtasdt0(_130254, 580 ^ [_130252, _130254]))]]], (586 ^ _112754) ^ [] : [-(doDivides0(_130254, _130252)), 587 ^ _112754 : [(588 ^ _112754) ^ [_130812] : [aNaturalNumber0(_130812), _130252 = sdtasdt0(_130254, _130812)]]]]], (596 ^ _112754) ^ [_131095, _131097] : [aNaturalNumber0(_131097), aNaturalNumber0(_131095), -(_131097 = sz00), doDivides0(_131097, _131095), 611 ^ _112754 : [(612 ^ _112754) ^ [_131534] : [_131534 = sdtsldt0(_131095, _131097), 615 ^ _112754 : [(616 ^ _112754) ^ [] : [-(aNaturalNumber0(_131534))], (618 ^ _112754) ^ [] : [-(_131095 = sdtasdt0(_131097, _131534))]]], (620 ^ _112754) ^ [_131793] : [-(_131793 = sdtsldt0(_131095, _131097)), aNaturalNumber0(_131793), _131095 = sdtasdt0(_131097, _131793)]]], (630 ^ _112754) ^ [_132145, _132147, _132149] : [aNaturalNumber0(_132149), aNaturalNumber0(_132147), aNaturalNumber0(_132145), -(doDivides0(_132149, _132145)), doDivides0(_132149, _132147), doDivides0(_132147, _132145)], (652 ^ _112754) ^ [_132745, _132747, _132749] : [aNaturalNumber0(_132749), aNaturalNumber0(_132747), aNaturalNumber0(_132745), -(doDivides0(_132749, sdtpldt0(_132747, _132745))), doDivides0(_132749, _132747), doDivides0(_132749, _132745)], (674 ^ _112754) ^ [_133351, _133353, _133355] : [aNaturalNumber0(_133355), aNaturalNumber0(_133353), aNaturalNumber0(_133351), -(doDivides0(_133355, _133351)), doDivides0(_133355, _133353), doDivides0(_133355, sdtpldt0(_133353, _133351))], (696 ^ _112754) ^ [_133943, _133945] : [aNaturalNumber0(_133945), aNaturalNumber0(_133943), -(sdtlseqdt0(_133945, _133943)), doDivides0(_133945, _133943), -(_133943 = sz00)], (714 ^ _112754) ^ [_134421, _134423] : [aNaturalNumber0(_134423), aNaturalNumber0(_134421), -(_134423 = sz00), doDivides0(_134423, _134421), 729 ^ _112754 : [(730 ^ _112754) ^ [_134831] : [aNaturalNumber0(_134831), -(sdtasdt0(_134831, sdtsldt0(_134421, _134423)) = sdtsldt0(sdtasdt0(_134831, _134421), _134423))]]], (736 ^ _112754) ^ [_135072] : [aNaturalNumber0(_135072), 739 ^ _112754 : [(762 ^ _112754) ^ [] : [-(isPrime0(_135072)), -(_135072 = sz00), -(_135072 = sz10), 772 ^ _112754 : [(773 ^ _112754) ^ [] : [-(aNaturalNumber0(771 ^ [_135072]))], (775 ^ _112754) ^ [] : [-(doDivides0(771 ^ [_135072], _135072))], (777 ^ _112754) ^ [] : [771 ^ [_135072] = sz10], (779 ^ _112754) ^ [] : [771 ^ [_135072] = _135072]]], (740 ^ _112754) ^ [] : [isPrime0(_135072), 743 ^ _112754 : [(744 ^ _112754) ^ [] : [_135072 = sz00], (746 ^ _112754) ^ [] : [_135072 = sz10], (748 ^ _112754) ^ [_135464] : [aNaturalNumber0(_135464), doDivides0(_135464, _135072), -(_135464 = sz10), -(_135464 = _135072)]]]]], (783 ^ _112754) ^ [_136416] : [795 ^ _112754 : [(796 ^ _112754) ^ [] : [-(aNaturalNumber0(794 ^ [_136416]))], (798 ^ _112754) ^ [] : [-(doDivides0(794 ^ [_136416], _136416))], (800 ^ _112754) ^ [] : [-(isPrime0(794 ^ [_136416]))]], aNaturalNumber0(_136416), -(_136416 = sz00), -(_136416 = sz10)], (802 ^ _112754) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _112754) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _112754) ^ [] : [-(aNaturalNumber0(xp))], (838 ^ _112754) ^ [] : [-(isPrime0(xp))], (840 ^ _112754) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (842 ^ _112754) ^ [] : [sdtlseqdt0(xp, xn)], (844 ^ _112754) ^ [] : [sdtlseqdt0(xp, xm)], (846 ^ _112754) ^ [] : [xn = xp], (848 ^ _112754) ^ [] : [-(sdtlseqdt0(xn, xp))], (850 ^ _112754) ^ [] : [xm = xp], (852 ^ _112754) ^ [] : [-(sdtlseqdt0(xm, xp))], (854 ^ _112754) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (856 ^ _112754) ^ [] : [xk = sz00], (858 ^ _112754) ^ [] : [xk = sz10], (860 ^ _112754) ^ [] : [xk = sz00], (862 ^ _112754) ^ [] : [xk = sz10], (864 ^ _112754) ^ [] : [-(aNaturalNumber0(xr))], (866 ^ _112754) ^ [] : [-(doDivides0(xr, xk))], (868 ^ _112754) ^ [] : [-(isPrime0(xr))], (870 ^ _112754) ^ [] : [-(sdtlseqdt0(xr, xk))], (872 ^ _112754) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (874 ^ _112754) ^ [] : [xk = xp], (876 ^ _112754) ^ [] : [-(sdtlseqdt0(xk, xp))], (884 ^ _112754) ^ [] : [doDivides0(xr, xn)], (886 ^ _112754) ^ [] : [doDivides0(xr, xm)], (878 ^ _112754) ^ [] : [-(doDivides0(xr, xn)), -(doDivides0(xr, xm))], (808 ^ _112754) ^ [_137183, _137185, _137187] : [aNaturalNumber0(_137187), aNaturalNumber0(_137185), aNaturalNumber0(_137183), isPrime0(_137183), doDivides0(_137183, sdtasdt0(_137187, _137185)), iLess0(sdtpldt0(sdtpldt0(_137187, _137185), _137183), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_137183, _137187)), -(doDivides0(_137183, _137185))]], input).
% 0.35/1.37 ncf('1',plain,[doDivides0(xr, xn)],start(884 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(doDivides0(xr, xn)), -(doDivides0(xr, xm))],extension(878 ^ 1)).
% 0.35/1.37 ncf('1.1.1',plain,[doDivides0(xr, xm)],extension(886 ^ 2)).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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