TSTP Solution File: NUM517+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM517+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 161.65s 156.59s
% Output : Proof 161.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM517+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.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 17:41:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 161.65/156.59
% 161.65/156.59 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 161.65/156.59 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.65/156.59 %-----------------------------------------------------
% 161.65/156.59 ncf(matrix, plain, [(896 ^ _153638) ^ [] : [doDivides0(xp, sdtsldt0(xn, xr))], (898 ^ _153638) ^ [] : [doDivides0(xp, xm)], !, (862 ^ _126654) ^ [] : [xk = sz10], (551 ^ _126654) ^ [_143654, _143656] : [aNaturalNumber0(_143656), aNaturalNumber0(_143654), -(iLess0(_143656, _143654)), -(_143656 = _143654), sdtlseqdt0(_143656, _143654)], (381 ^ _126654) ^ [_138693] : [aNaturalNumber0(_138693), -(sdtlseqdt0(_138693, _138693))], (854 ^ _126654) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (714 ^ _126654) ^ [_148301, _148303] : [aNaturalNumber0(_148303), aNaturalNumber0(_148301), -(_148303 = sz00), doDivides0(_148303, _148301), 729 ^ _126654 : [(730 ^ _126654) ^ [_148711] : [aNaturalNumber0(_148711), -(sdtasdt0(_148711, sdtsldt0(_148301, _148303)) = sdtsldt0(sdtasdt0(_148711, _148301), _148303))]]], (674 ^ _126654) ^ [_147231, _147233, _147235] : [aNaturalNumber0(_147235), aNaturalNumber0(_147233), aNaturalNumber0(_147231), -(doDivides0(_147235, _147231)), doDivides0(_147235, _147233), doDivides0(_147235, sdtpldt0(_147233, _147231))], (840 ^ _126654) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (894 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], (230 ^ _126654) ^ [_134076, _134078, _134080] : [241 ^ _126654 : [(242 ^ _126654) ^ [] : [-(sdtasdt0(_134080, sdtpldt0(_134078, _134076)) = sdtpldt0(sdtasdt0(_134080, _134078), sdtasdt0(_134080, _134076)))], (244 ^ _126654) ^ [] : [-(sdtasdt0(sdtpldt0(_134078, _134076), _134080) = sdtpldt0(sdtasdt0(_134078, _134080), sdtasdt0(_134076, _134080)))]], aNaturalNumber0(_134080), aNaturalNumber0(_134078), aNaturalNumber0(_134076)], (868 ^ _126654) ^ [] : [-(isPrime0(xr))], (92 ^ _126654) ^ [_129705, _129707, _129709, _129711] : [-(sdtasdt0(_129711, _129707) = sdtasdt0(_129709, _129705)), _129711 = _129709, _129707 = _129705], (884 ^ _126654) ^ [] : [-(doDivides0(xr, xn))], (804 ^ _126654) ^ [] : [-(aNaturalNumber0(xm))], (168 ^ _126654) ^ [_132082, _132084, _132086] : [-(sdtpldt0(sdtpldt0(_132086, _132084), _132082) = sdtpldt0(_132086, sdtpldt0(_132084, _132082))), aNaturalNumber0(_132086), aNaturalNumber0(_132084), aNaturalNumber0(_132082)], (596 ^ _126654) ^ [_144975, _144977] : [aNaturalNumber0(_144977), aNaturalNumber0(_144975), -(_144977 = sz00), doDivides0(_144977, _144975), 611 ^ _126654 : [(612 ^ _126654) ^ [_145414] : [_145414 = sdtsldt0(_144975, _144977), 615 ^ _126654 : [(616 ^ _126654) ^ [] : [-(aNaturalNumber0(_145414))], (618 ^ _126654) ^ [] : [-(_144975 = sdtasdt0(_144977, _145414))]]], (620 ^ _126654) ^ [_145673] : [-(_145673 = sdtsldt0(_144975, _144977)), aNaturalNumber0(_145673), _144975 = sdtasdt0(_144977, _145673)]]], (351 ^ _126654) ^ [_137765, _137767] : [aNaturalNumber0(_137767), aNaturalNumber0(_137765), sdtlseqdt0(_137767, _137765), 362 ^ _126654 : [(363 ^ _126654) ^ [_138112] : [_138112 = sdtmndt0(_137765, _137767), 366 ^ _126654 : [(367 ^ _126654) ^ [] : [-(aNaturalNumber0(_138112))], (369 ^ _126654) ^ [] : [-(sdtpldt0(_137767, _138112) = _137765)]]], (371 ^ _126654) ^ [_138371] : [-(_138371 = sdtmndt0(_137765, _137767)), aNaturalNumber0(_138371), sdtpldt0(_137767, _138371) = _137765]]], (569 ^ _126654) ^ [_144132, _144134] : [aNaturalNumber0(_144134), aNaturalNumber0(_144132), 576 ^ _126654 : [(577 ^ _126654) ^ [] : [doDivides0(_144134, _144132), 581 ^ _126654 : [(582 ^ _126654) ^ [] : [-(aNaturalNumber0(580 ^ [_144132, _144134]))], (584 ^ _126654) ^ [] : [-(_144132 = sdtasdt0(_144134, 580 ^ [_144132, _144134]))]]], (586 ^ _126654) ^ [] : [-(doDivides0(_144134, _144132)), 587 ^ _126654 : [(588 ^ _126654) ^ [_144692] : [aNaturalNumber0(_144692), _144132 = sdtasdt0(_144134, _144692)]]]]], (736 ^ _126654) ^ [_148952] : [aNaturalNumber0(_148952), 739 ^ _126654 : [(762 ^ _126654) ^ [] : [-(isPrime0(_148952)), -(_148952 = sz00), -(_148952 = sz10), 772 ^ _126654 : [(773 ^ _126654) ^ [] : [-(aNaturalNumber0(771 ^ [_148952]))], (779 ^ _126654) ^ [] : [771 ^ [_148952] = _148952], (777 ^ _126654) ^ [] : [771 ^ [_148952] = sz10], (775 ^ _126654) ^ [] : [-(doDivides0(771 ^ [_148952], _148952))]]], (740 ^ _126654) ^ [] : [isPrime0(_148952), 743 ^ _126654 : [(748 ^ _126654) ^ [_149344] : [aNaturalNumber0(_149344), doDivides0(_149344, _148952), -(_149344 = sz10), -(_149344 = _148952)], (746 ^ _126654) ^ [] : [_148952 = sz10], (744 ^ _126654) ^ [] : [_148952 = sz00]]]]], (806 ^ _126654) ^ [] : [-(aNaturalNumber0(xp))], (874 ^ _126654) ^ [] : [xk = xp], (888 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], (387 ^ _126654) ^ [_138895, _138897] : [aNaturalNumber0(_138897), aNaturalNumber0(_138895), -(_138897 = _138895), sdtlseqdt0(_138897, _138895), sdtlseqdt0(_138895, _138897)], (4 ^ _126654) ^ [_126885, _126887] : [_126887 = _126885, -(_126885 = _126887)], (892 ^ _126654) ^ [] : [sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], (838 ^ _126654) ^ [] : [-(isPrime0(xp))], (2 ^ _126654) ^ [_126778] : [-(_126778 = _126778)], (866 ^ _126654) ^ [] : [-(doDivides0(xr, xk))], (82 ^ _126654) ^ [_129346, _129348, _129350, _129352] : [-(sdtmndt0(_129352, _129348) = sdtmndt0(_129350, _129346)), _129352 = _129350, _129348 = _129346], (134 ^ _126654) ^ [] : [-(aNaturalNumber0(sz10))], (148 ^ _126654) ^ [_131462, _131464] : [-(aNaturalNumber0(sdtasdt0(_131464, _131462))), aNaturalNumber0(_131464), aNaturalNumber0(_131462)], (844 ^ _126654) ^ [] : [sdtlseqdt0(xp, xm)], (783 ^ _126654) ^ [_150296] : [795 ^ _126654 : [(800 ^ _126654) ^ [] : [-(isPrime0(794 ^ [_150296]))], (798 ^ _126654) ^ [] : [-(doDivides0(794 ^ [_150296], _150296))], (796 ^ _126654) ^ [] : [-(aNaturalNumber0(794 ^ [_150296]))]], aNaturalNumber0(_150296), -(_150296 = sz00), -(_150296 = sz10)], (324 ^ _126654) ^ [_136922, _136924] : [aNaturalNumber0(_136924), aNaturalNumber0(_136922), 331 ^ _126654 : [(332 ^ _126654) ^ [] : [sdtlseqdt0(_136924, _136922), 336 ^ _126654 : [(337 ^ _126654) ^ [] : [-(aNaturalNumber0(335 ^ [_136922, _136924]))], (339 ^ _126654) ^ [] : [-(sdtpldt0(_136924, 335 ^ [_136922, _136924]) = _136922)]]], (341 ^ _126654) ^ [] : [-(sdtlseqdt0(_136924, _136922)), 342 ^ _126654 : [(343 ^ _126654) ^ [_137482] : [aNaturalNumber0(_137482), sdtpldt0(_136924, _137482) = _136922]]]]], (44 ^ _126654) ^ [_128141, _128143] : [-(isPrime0(_128141)), _128143 = _128141, isPrime0(_128143)], (10 ^ _126654) ^ [_127089, _127091, _127093] : [-(_127093 = _127089), _127093 = _127091, _127091 = _127089], (266 ^ _126654) ^ [_135200] : [aNaturalNumber0(_135200), -(_135200 = sz00), 273 ^ _126654 : [(274 ^ _126654) ^ [_135462, _135464] : [aNaturalNumber0(_135464), aNaturalNumber0(_135462), 283 ^ _126654 : [(284 ^ _126654) ^ [] : [sdtasdt0(_135200, _135464) = sdtasdt0(_135200, _135462)], (286 ^ _126654) ^ [] : [sdtasdt0(_135464, _135200) = sdtasdt0(_135462, _135200)]], -(_135464 = _135462)]]], (158 ^ _126654) ^ [_131761, _131763] : [-(sdtpldt0(_131763, _131761) = sdtpldt0(_131761, _131763)), aNaturalNumber0(_131763), aNaturalNumber0(_131761)], (802 ^ _126654) ^ [] : [-(aNaturalNumber0(xn))], (122 ^ _126654) ^ [_130734] : [aNaturalNumber0(_130734), true___, -(true___)], (443 ^ _126654) ^ [_140433, _140435] : [aNaturalNumber0(_140435), aNaturalNumber0(_140433), -(_140435 = _140433), sdtlseqdt0(_140435, _140433), 458 ^ _126654 : [(459 ^ _126654) ^ [_140877] : [aNaturalNumber0(_140877), 462 ^ _126654 : [(463 ^ _126654) ^ [] : [sdtpldt0(_140877, _140435) = sdtpldt0(_140877, _140433)], (469 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtpldt0(_140435, _140877), sdtpldt0(_140433, _140877)))], (467 ^ _126654) ^ [] : [sdtpldt0(_140435, _140877) = sdtpldt0(_140433, _140877)], (465 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtpldt0(_140877, _140435), sdtpldt0(_140877, _140433)))]]]]], (222 ^ _126654) ^ [_133775] : [aNaturalNumber0(_133775), 225 ^ _126654 : [(226 ^ _126654) ^ [] : [-(sdtasdt0(_133775, sz00) = sz00)], (228 ^ _126654) ^ [] : [-(sz00 = sdtasdt0(sz00, _133775))]]], (842 ^ _126654) ^ [] : [sdtlseqdt0(xp, xn)], (20 ^ _126654) ^ [_127430, _127432, _127434, _127436] : [-(iLess0(_127434, _127430)), iLess0(_127436, _127432), _127436 = _127434, _127432 = _127430], (846 ^ _126654) ^ [] : [xn = xp], (471 ^ _126654) ^ [_141401, _141403, _141405] : [aNaturalNumber0(_141405), aNaturalNumber0(_141403), aNaturalNumber0(_141401), 494 ^ _126654 : [(495 ^ _126654) ^ [] : [sdtasdt0(_141405, _141403) = sdtasdt0(_141405, _141401)], (501 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtasdt0(_141403, _141405), sdtasdt0(_141401, _141405)))], (499 ^ _126654) ^ [] : [sdtasdt0(_141403, _141405) = sdtasdt0(_141401, _141405)], (497 ^ _126654) ^ [] : [-(sdtlseqdt0(sdtasdt0(_141405, _141403), sdtasdt0(_141405, _141401)))]], -(_141405 = sz00), -(_141403 = _141401), sdtlseqdt0(_141403, _141401)], (200 ^ _126654) ^ [_133096, _133098, _133100] : [-(sdtasdt0(sdtasdt0(_133100, _133098), _133096) = sdtasdt0(_133100, sdtasdt0(_133098, _133096))), aNaturalNumber0(_133100), aNaturalNumber0(_133098), aNaturalNumber0(_133096)], (138 ^ _126654) ^ [_131163, _131165] : [-(aNaturalNumber0(sdtpldt0(_131165, _131163))), aNaturalNumber0(_131165), aNaturalNumber0(_131163)], (182 ^ _126654) ^ [_132488] : [aNaturalNumber0(_132488), 185 ^ _126654 : [(186 ^ _126654) ^ [] : [-(sdtpldt0(_132488, sz00) = _132488)], (188 ^ _126654) ^ [] : [-(_132488 = sdtpldt0(sz00, _132488))]]], (878 ^ _126654) ^ [] : [-(doDivides0(xr, xn)), -(doDivides0(xr, xm))], (503 ^ _126654) ^ [_142351] : [aNaturalNumber0(_142351), -(_142351 = sz00), -(_142351 = sz10), 514 ^ _126654 : [(515 ^ _126654) ^ [] : [sz10 = _142351], (517 ^ _126654) ^ [] : [-(sdtlseqdt0(sz10, _142351))]]], (290 ^ _126654) ^ [_135973, _135975] : [aNaturalNumber0(_135975), aNaturalNumber0(_135973), sdtpldt0(_135975, _135973) = sz00, 301 ^ _126654 : [(302 ^ _126654) ^ [] : [-(_135975 = sz00)], (304 ^ _126654) ^ [] : [-(_135973 = sz00)]]], (858 ^ _126654) ^ [] : [xk = sz10], (34 ^ _126654) ^ [_127846, _127848] : [-(aNaturalNumber0(_127846)), _127848 = _127846, aNaturalNumber0(_127848)], (136 ^ _126654) ^ [] : [sz10 = sz00], (852 ^ _126654) ^ [] : [-(sdtlseqdt0(xm, xp))], (68 ^ _126654) ^ [_128888, _128890, _128892, _128894] : [-(doDivides0(_128892, _128888)), doDivides0(_128894, _128890), _128894 = _128892, _128890 = _128888], (533 ^ _126654) ^ [_143194, _143196] : [aNaturalNumber0(_143196), aNaturalNumber0(_143194), iLess0(_143196, _143194), true___, -(true___)], (808 ^ _126654) ^ [_151063, _151065, _151067] : [aNaturalNumber0(_151067), aNaturalNumber0(_151065), aNaturalNumber0(_151063), isPrime0(_151063), doDivides0(_151063, sdtasdt0(_151067, _151065)), iLess0(sdtpldt0(sdtpldt0(_151067, _151065), _151063), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_151063, _151067)), -(doDivides0(_151063, _151065))], (848 ^ _126654) ^ [] : [-(sdtlseqdt0(xn, xp))], (405 ^ _126654) ^ [_139384, _139386, _139388] : [aNaturalNumber0(_139388), aNaturalNumber0(_139386), aNaturalNumber0(_139384), -(sdtlseqdt0(_139388, _139384)), sdtlseqdt0(_139388, _139386), sdtlseqdt0(_139386, _139384)], (519 ^ _126654) ^ [_142799, _142801] : [aNaturalNumber0(_142801), aNaturalNumber0(_142799), -(_142801 = sz00), -(sdtlseqdt0(_142799, sdtasdt0(_142799, _142801)))], (696 ^ _126654) ^ [_147823, _147825] : [aNaturalNumber0(_147825), aNaturalNumber0(_147823), -(sdtlseqdt0(_147825, _147823)), doDivides0(_147825, _147823), -(_147823 = sz00)], (872 ^ _126654) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (886 ^ _126654) ^ [] : [sdtsldt0(xn, xr) = xn], (427 ^ _126654) ^ [_139970, _139972] : [aNaturalNumber0(_139972), aNaturalNumber0(_139970), -(sdtlseqdt0(_139972, _139970)), 438 ^ _126654 : [(439 ^ _126654) ^ [] : [_139970 = _139972], (441 ^ _126654) ^ [] : [-(sdtlseqdt0(_139970, _139972))]]], (246 ^ _126654) ^ [_134623, _134625, _134627] : [259 ^ _126654 : [(260 ^ _126654) ^ [] : [sdtpldt0(_134627, _134625) = sdtpldt0(_134627, _134623)], (262 ^ _126654) ^ [] : [sdtpldt0(_134625, _134627) = sdtpldt0(_134623, _134627)]], -(_134625 = _134623), aNaturalNumber0(_134627), aNaturalNumber0(_134625), aNaturalNumber0(_134623)], (864 ^ _126654) ^ [] : [-(aNaturalNumber0(xr))], (850 ^ _126654) ^ [] : [xm = xp], (890 ^ _126654) ^ [] : [-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))], (102 ^ _126654) ^ [_130064, _130066, _130068, _130070] : [-(sdtpldt0(_130070, _130066) = sdtpldt0(_130068, _130064)), _130070 = _130068, _130066 = _130064], (214 ^ _126654) ^ [_133502] : [aNaturalNumber0(_133502), 217 ^ _126654 : [(218 ^ _126654) ^ [] : [-(sdtasdt0(_133502, sz10) = _133502)], (220 ^ _126654) ^ [] : [-(_133502 = sdtasdt0(sz10, _133502))]]], (132 ^ _126654) ^ [] : [-(aNaturalNumber0(sz00))], (856 ^ _126654) ^ [] : [xk = sz00], (870 ^ _126654) ^ [] : [-(sdtlseqdt0(xr, xk))], (190 ^ _126654) ^ [_132775, _132777] : [-(sdtasdt0(_132777, _132775) = sdtasdt0(_132775, _132777)), aNaturalNumber0(_132777), aNaturalNumber0(_132775)], (652 ^ _126654) ^ [_146625, _146627, _146629] : [aNaturalNumber0(_146629), aNaturalNumber0(_146627), aNaturalNumber0(_146625), -(doDivides0(_146629, sdtpldt0(_146627, _146625))), doDivides0(_146629, _146627), doDivides0(_146629, _146625)], (876 ^ _126654) ^ [] : [-(sdtlseqdt0(xk, xp))], (630 ^ _126654) ^ [_146025, _146027, _146029] : [aNaturalNumber0(_146029), aNaturalNumber0(_146027), aNaturalNumber0(_146025), -(doDivides0(_146029, _146025)), doDivides0(_146029, _146027), doDivides0(_146027, _146025)], (860 ^ _126654) ^ [] : [xk = sz00], (54 ^ _126654) ^ [_128464, _128466, _128468, _128470] : [-(sdtlseqdt0(_128468, _128464)), sdtlseqdt0(_128470, _128466), _128470 = _128468, _128466 = _128464], (306 ^ _126654) ^ [_136440, _136442] : [aNaturalNumber0(_136442), aNaturalNumber0(_136440), sdtasdt0(_136442, _136440) = sz00, -(_136442 = sz00), -(_136440 = sz00)], (112 ^ _126654) ^ [_130403, _130405, _130407, _130409] : [-(sdtsldt0(_130409, _130405) = sdtsldt0(_130407, _130403)), _130409 = _130407, _130405 = _130403]], input).
% 161.65/156.59 ncf('1',plain,[doDivides0(xp, sdtsldt0(xn, xr))],start(896 ^ 0)).
% 161.65/156.59 ncf('1.1',plain,[-(doDivides0(xp, sdtsldt0(xn, xr))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm), aNaturalNumber0(xp), isPrime0(xp), doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)), iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(xp, xm))],extension(808 ^ 1,bind([[_151063, _151065, _151067], [xp, xm, sdtsldt0(xn, xr)]]))).
% 161.65/156.59 ncf('1.1.1',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 ^ 2,bind([[_144975, _144977, _145414], [xn, xr, sdtsldt0(xn, xr)]]))).
% 161.65/156.59 ncf('1.1.1.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr)), sdtsldt0(xn, xr) = sdtsldt0(xn, xr)],extension(4 ^ 5,bind([[_126885, _126887], [sdtsldt0(xn, xr), sdtsldt0(xn, xr)]]))).
% 161.65/156.59 ncf('1.1.1.1.1',plain,[-(sdtsldt0(xn, xr) = sdtsldt0(xn, xr))],extension(2 ^ 6,bind([[_126778], [sdtsldt0(xn, xr)]]))).
% 161.65/156.59 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 3)).
% 161.65/156.59 ncf('1.1.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 161.65/156.59 ncf('1.1.1.4',plain,[xr = sz00, 740 : isPrime0(xr), 740 : aNaturalNumber0(xr)],extension(736 ^ 3,bind([[_148952], [xr]]))).
% 161.65/156.59 ncf('1.1.1.4.1',plain,[-(isPrime0(xr))],extension(868 ^ 6)).
% 161.65/156.59 ncf('1.1.1.4.2',plain,[-(aNaturalNumber0(xr))],lemmata('[1, 1].x')).
% 161.65/156.59 ncf('1.1.1.5',plain,[-(doDivides0(xr, xn))],extension(884 ^ 3)).
% 161.65/156.59 ncf('1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 2)).
% 161.65/156.59 ncf('1.1.3',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 161.65/156.59 ncf('1.1.4',plain,[-(isPrime0(xp))],extension(838 ^ 2)).
% 161.65/156.59 ncf('1.1.5',plain,[-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))],extension(890 ^ 2)).
% 161.65/156.59 ncf('1.1.6',plain,[-(iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(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))],extension(551 ^ 2,bind([[_143654, _143656], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp)]]))).
% 161.65/156.59 ncf('1.1.6.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp))), aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), aNaturalNumber0(xp)],extension(138 ^ 3,bind([[_131163, _131165], [xp, sdtpldt0(sdtsldt0(xn, xr), xm)]]))).
% 161.65/156.59 ncf('1.1.6.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_131163, _131165], [xm, sdtsldt0(xn, xr)]]))).
% 161.65/156.59 ncf('1.1.6.1.1.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],lemmata('[1].x')).
% 161.65/156.59 ncf('1.1.6.1.1.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 161.65/156.59 ncf('1.1.6.1.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 161.65/156.59 ncf('1.1.6.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 3,bind([[_131163, _131165], [xp, sdtpldt0(xn, xm)]]))).
% 161.65/156.59 ncf('1.1.6.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_131163, _131165], [xm, xn]]))).
% 161.65/156.59 ncf('1.1.6.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 161.65/156.59 ncf('1.1.6.2.1.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 161.65/156.59 ncf('1.1.6.2.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 161.65/156.59 ncf('1.1.6.3',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],extension(892 ^ 3)).
% 161.65/156.59 ncf('1.1.6.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(894 ^ 3)).
% 161.65/156.59 ncf('1.1.7',plain,[doDivides0(xp, xm)],extension(898 ^ 2)).
% 161.65/156.59 %-----------------------------------------------------
% 161.65/156.59 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------