TSTP Solution File: NUM494+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM494+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 11:44:46 EDT 2023
% Result : Theorem 43.52s 42.86s
% Output : Proof 43.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM494+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 17:06:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.52/42.86
% 43.52/42.86 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.52/42.86 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.52/42.86 %-----------------------------------------------------
% 43.52/42.86 ncf(matrix, plain, [(852 ^ _153768) ^ [] : [-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))], !, (134 ^ _128014) ^ [] : [-(aNaturalNumber0(sz10))], (405 ^ _128014) ^ [_140744, _140746, _140748] : [aNaturalNumber0(_140748), aNaturalNumber0(_140746), aNaturalNumber0(_140744), -(sdtlseqdt0(_140748, _140744)), sdtlseqdt0(_140748, _140746), sdtlseqdt0(_140746, _140744)], (427 ^ _128014) ^ [_141330, _141332] : [aNaturalNumber0(_141332), aNaturalNumber0(_141330), -(sdtlseqdt0(_141332, _141330)), 438 ^ _128014 : [(441 ^ _128014) ^ [] : [-(sdtlseqdt0(_141330, _141332))], (439 ^ _128014) ^ [] : [_141330 = _141332]]], (30 ^ _128014) ^ [_129085, _129087, _129089, _129091] : [-(iLess0(_129089, _129085)), iLess0(_129091, _129087), _129091 = _129089, _129087 = _129085], (844 ^ _128014) ^ [] : [-(xr = sdtmndt0(xn, xp))], (443 ^ _128014) ^ [_141793, _141795] : [aNaturalNumber0(_141795), aNaturalNumber0(_141793), -(_141795 = _141793), sdtlseqdt0(_141795, _141793), 458 ^ _128014 : [(459 ^ _128014) ^ [_142237] : [aNaturalNumber0(_142237), 462 ^ _128014 : [(465 ^ _128014) ^ [] : [-(sdtlseqdt0(sdtpldt0(_142237, _141795), sdtpldt0(_142237, _141793)))], (467 ^ _128014) ^ [] : [sdtpldt0(_141795, _142237) = sdtpldt0(_141793, _142237)], (469 ^ _128014) ^ [] : [-(sdtlseqdt0(sdtpldt0(_141795, _142237), sdtpldt0(_141793, _142237)))], (463 ^ _128014) ^ [] : [sdtpldt0(_142237, _141795) = sdtpldt0(_142237, _141793)]]]]], (190 ^ _128014) ^ [_134135, _134137] : [-(sdtasdt0(_134137, _134135) = sdtasdt0(_134135, _134137)), aNaturalNumber0(_134137), aNaturalNumber0(_134135)], (840 ^ _128014) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (2 ^ _128014) ^ [_128138] : [-(_128138 = _128138)], (136 ^ _128014) ^ [] : [sz10 = sz00], (230 ^ _128014) ^ [_135436, _135438, _135440] : [241 ^ _128014 : [(244 ^ _128014) ^ [] : [-(sdtasdt0(sdtpldt0(_135438, _135436), _135440) = sdtpldt0(sdtasdt0(_135438, _135440), sdtasdt0(_135436, _135440)))], (242 ^ _128014) ^ [] : [-(sdtasdt0(_135440, sdtpldt0(_135438, _135436)) = sdtpldt0(sdtasdt0(_135440, _135438), sdtasdt0(_135440, _135436)))]], aNaturalNumber0(_135440), aNaturalNumber0(_135438), aNaturalNumber0(_135436)], (10 ^ _128014) ^ [_128449, _128451, _128453] : [-(_128453 = _128449), _128453 = _128451, _128451 = _128449], (246 ^ _128014) ^ [_135983, _135985, _135987] : [259 ^ _128014 : [(262 ^ _128014) ^ [] : [sdtpldt0(_135985, _135987) = sdtpldt0(_135983, _135987)], (260 ^ _128014) ^ [] : [sdtpldt0(_135987, _135985) = sdtpldt0(_135987, _135983)]], -(_135985 = _135983), aNaturalNumber0(_135987), aNaturalNumber0(_135985), aNaturalNumber0(_135983)], (381 ^ _128014) ^ [_140053] : [aNaturalNumber0(_140053), -(sdtlseqdt0(_140053, _140053))], (102 ^ _128014) ^ [_131424, _131426, _131428, _131430] : [-(sdtasdt0(_131430, _131426) = sdtasdt0(_131428, _131424)), _131430 = _131428, _131426 = _131424], (802 ^ _128014) ^ [] : [-(aNaturalNumber0(xn))], (783 ^ _128014) ^ [_151656] : [795 ^ _128014 : [(800 ^ _128014) ^ [] : [-(isPrime0(794 ^ [_151656]))], (798 ^ _128014) ^ [] : [-(doDivides0(794 ^ [_151656], _151656))], (796 ^ _128014) ^ [] : [-(aNaturalNumber0(794 ^ [_151656]))]], aNaturalNumber0(_151656), -(_151656 = sz00), -(_151656 = sz10)], (652 ^ _128014) ^ [_147985, _147987, _147989] : [aNaturalNumber0(_147989), aNaturalNumber0(_147987), aNaturalNumber0(_147985), -(doDivides0(_147989, sdtpldt0(_147987, _147985))), doDivides0(_147989, _147987), doDivides0(_147989, _147985)], (158 ^ _128014) ^ [_133121, _133123] : [-(sdtpldt0(_133123, _133121) = sdtpldt0(_133121, _133123)), aNaturalNumber0(_133123), aNaturalNumber0(_133121)], (806 ^ _128014) ^ [] : [-(aNaturalNumber0(xp))], (306 ^ _128014) ^ [_137800, _137802] : [aNaturalNumber0(_137802), aNaturalNumber0(_137800), sdtasdt0(_137802, _137800) = sz00, -(_137802 = sz00), -(_137800 = sz00)], (848 ^ _128014) ^ [] : [-(sdtlseqdt0(xr, xn))], (266 ^ _128014) ^ [_136560] : [aNaturalNumber0(_136560), -(_136560 = sz00), 273 ^ _128014 : [(274 ^ _128014) ^ [_136822, _136824] : [aNaturalNumber0(_136824), aNaturalNumber0(_136822), 283 ^ _128014 : [(286 ^ _128014) ^ [] : [sdtasdt0(_136824, _136560) = sdtasdt0(_136822, _136560)], (284 ^ _128014) ^ [] : [sdtasdt0(_136560, _136824) = sdtasdt0(_136560, _136822)]], -(_136824 = _136822)]]], (182 ^ _128014) ^ [_133848] : [aNaturalNumber0(_133848), 185 ^ _128014 : [(188 ^ _128014) ^ [] : [-(_133848 = sdtpldt0(sz00, _133848))], (186 ^ _128014) ^ [] : [-(sdtpldt0(_133848, sz00) = _133848)]]], (569 ^ _128014) ^ [_145492, _145494] : [aNaturalNumber0(_145494), aNaturalNumber0(_145492), 576 ^ _128014 : [(586 ^ _128014) ^ [] : [-(doDivides0(_145494, _145492)), 587 ^ _128014 : [(588 ^ _128014) ^ [_146052] : [aNaturalNumber0(_146052), _145492 = sdtasdt0(_145494, _146052)]]], (577 ^ _128014) ^ [] : [doDivides0(_145494, _145492), 581 ^ _128014 : [(584 ^ _128014) ^ [] : [-(_145492 = sdtasdt0(_145494, 580 ^ [_145492, _145494]))], (582 ^ _128014) ^ [] : [-(aNaturalNumber0(580 ^ [_145492, _145494]))]]]]], (503 ^ _128014) ^ [_143711] : [aNaturalNumber0(_143711), -(_143711 = sz00), -(_143711 = sz10), 514 ^ _128014 : [(517 ^ _128014) ^ [] : [-(sdtlseqdt0(sz10, _143711))], (515 ^ _128014) ^ [] : [sz10 = _143711]]], (324 ^ _128014) ^ [_138282, _138284] : [aNaturalNumber0(_138284), aNaturalNumber0(_138282), 331 ^ _128014 : [(341 ^ _128014) ^ [] : [-(sdtlseqdt0(_138284, _138282)), 342 ^ _128014 : [(343 ^ _128014) ^ [_138842] : [aNaturalNumber0(_138842), sdtpldt0(_138284, _138842) = _138282]]], (332 ^ _128014) ^ [] : [sdtlseqdt0(_138284, _138282), 336 ^ _128014 : [(339 ^ _128014) ^ [] : [-(sdtpldt0(_138284, 335 ^ [_138282, _138284]) = _138282)], (337 ^ _128014) ^ [] : [-(aNaturalNumber0(335 ^ [_138282, _138284]))]]]]], (838 ^ _128014) ^ [] : [-(isPrime0(xp))], (82 ^ _128014) ^ [_130706, _130708, _130710, _130712] : [-(sdtsldt0(_130712, _130708) = sdtsldt0(_130710, _130706)), _130712 = _130710, _130708 = _130706], (44 ^ _128014) ^ [_129501, _129503] : [-(isPrime0(_129501)), _129503 = _129501, isPrime0(_129503)], (351 ^ _128014) ^ [_139125, _139127] : [aNaturalNumber0(_139127), aNaturalNumber0(_139125), sdtlseqdt0(_139127, _139125), 362 ^ _128014 : [(371 ^ _128014) ^ [_139731] : [-(_139731 = sdtmndt0(_139125, _139127)), aNaturalNumber0(_139731), sdtpldt0(_139127, _139731) = _139125], (363 ^ _128014) ^ [_139472] : [_139472 = sdtmndt0(_139125, _139127), 366 ^ _128014 : [(369 ^ _128014) ^ [] : [-(sdtpldt0(_139127, _139472) = _139125)], (367 ^ _128014) ^ [] : [-(aNaturalNumber0(_139472))]]]]], (842 ^ _128014) ^ [] : [-(sdtlseqdt0(xp, xn))], (696 ^ _128014) ^ [_149183, _149185] : [aNaturalNumber0(_149185), aNaturalNumber0(_149183), -(sdtlseqdt0(_149185, _149183)), doDivides0(_149185, _149183), -(_149183 = sz00)], (138 ^ _128014) ^ [_132523, _132525] : [-(aNaturalNumber0(sdtpldt0(_132525, _132523))), aNaturalNumber0(_132525), aNaturalNumber0(_132523)], (290 ^ _128014) ^ [_137333, _137335] : [aNaturalNumber0(_137335), aNaturalNumber0(_137333), sdtpldt0(_137335, _137333) = sz00, 301 ^ _128014 : [(304 ^ _128014) ^ [] : [-(_137333 = sz00)], (302 ^ _128014) ^ [] : [-(_137335 = sz00)]]], (850 ^ _128014) ^ [] : [-(doDivides0(xp, sdtasdt0(xr, xm)))], (54 ^ _128014) ^ [_129824, _129826, _129828, _129830] : [-(doDivides0(_129828, _129824)), doDivides0(_129830, _129826), _129830 = _129828, _129826 = _129824], (168 ^ _128014) ^ [_133442, _133444, _133446] : [-(sdtpldt0(sdtpldt0(_133446, _133444), _133442) = sdtpldt0(_133446, sdtpldt0(_133444, _133442))), aNaturalNumber0(_133446), aNaturalNumber0(_133444), aNaturalNumber0(_133442)], (630 ^ _128014) ^ [_147385, _147387, _147389] : [aNaturalNumber0(_147389), aNaturalNumber0(_147387), aNaturalNumber0(_147385), -(doDivides0(_147389, _147385)), doDivides0(_147389, _147387), doDivides0(_147387, _147385)], (4 ^ _128014) ^ [_128245, _128247] : [_128247 = _128245, -(_128245 = _128247)], (846 ^ _128014) ^ [] : [xr = xn], (68 ^ _128014) ^ [_130248, _130250, _130252, _130254] : [-(sdtlseqdt0(_130252, _130248)), sdtlseqdt0(_130254, _130250), _130254 = _130252, _130250 = _130248], (551 ^ _128014) ^ [_145014, _145016] : [aNaturalNumber0(_145016), aNaturalNumber0(_145014), -(iLess0(_145016, _145014)), -(_145016 = _145014), sdtlseqdt0(_145016, _145014)], (200 ^ _128014) ^ [_134456, _134458, _134460] : [-(sdtasdt0(sdtasdt0(_134460, _134458), _134456) = sdtasdt0(_134460, sdtasdt0(_134458, _134456))), aNaturalNumber0(_134460), aNaturalNumber0(_134458), aNaturalNumber0(_134456)], (533 ^ _128014) ^ [_144554, _144556] : [aNaturalNumber0(_144556), aNaturalNumber0(_144554), iLess0(_144556, _144554), true___, -(true___)], (674 ^ _128014) ^ [_148591, _148593, _148595] : [aNaturalNumber0(_148595), aNaturalNumber0(_148593), aNaturalNumber0(_148591), -(doDivides0(_148595, _148591)), doDivides0(_148595, _148593), doDivides0(_148595, sdtpldt0(_148593, _148591))], (222 ^ _128014) ^ [_135135] : [aNaturalNumber0(_135135), 225 ^ _128014 : [(228 ^ _128014) ^ [] : [-(sz00 = sdtasdt0(sz00, _135135))], (226 ^ _128014) ^ [] : [-(sdtasdt0(_135135, sz00) = sz00)]]], (804 ^ _128014) ^ [] : [-(aNaturalNumber0(xm))], (808 ^ _128014) ^ [_152423, _152425, _152427] : [aNaturalNumber0(_152427), aNaturalNumber0(_152425), aNaturalNumber0(_152423), isPrime0(_152423), doDivides0(_152423, sdtasdt0(_152427, _152425)), iLess0(sdtpldt0(sdtpldt0(_152427, _152425), _152423), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_152423, _152427)), -(doDivides0(_152423, _152425))], (132 ^ _128014) ^ [] : [-(aNaturalNumber0(sz00))], (471 ^ _128014) ^ [_142761, _142763, _142765] : [aNaturalNumber0(_142765), aNaturalNumber0(_142763), aNaturalNumber0(_142761), 494 ^ _128014 : [(497 ^ _128014) ^ [] : [-(sdtlseqdt0(sdtasdt0(_142765, _142763), sdtasdt0(_142765, _142761)))], (499 ^ _128014) ^ [] : [sdtasdt0(_142763, _142765) = sdtasdt0(_142761, _142765)], (501 ^ _128014) ^ [] : [-(sdtlseqdt0(sdtasdt0(_142763, _142765), sdtasdt0(_142761, _142765)))], (495 ^ _128014) ^ [] : [sdtasdt0(_142765, _142763) = sdtasdt0(_142765, _142761)]], -(_142765 = sz00), -(_142763 = _142761), sdtlseqdt0(_142763, _142761)], (92 ^ _128014) ^ [_131065, _131067, _131069, _131071] : [-(sdtmndt0(_131071, _131067) = sdtmndt0(_131069, _131065)), _131071 = _131069, _131067 = _131065], (596 ^ _128014) ^ [_146335, _146337] : [aNaturalNumber0(_146337), aNaturalNumber0(_146335), -(_146337 = sz00), doDivides0(_146337, _146335), 611 ^ _128014 : [(620 ^ _128014) ^ [_147033] : [-(_147033 = sdtsldt0(_146335, _146337)), aNaturalNumber0(_147033), _146335 = sdtasdt0(_146337, _147033)], (612 ^ _128014) ^ [_146774] : [_146774 = sdtsldt0(_146335, _146337), 615 ^ _128014 : [(618 ^ _128014) ^ [] : [-(_146335 = sdtasdt0(_146337, _146774))], (616 ^ _128014) ^ [] : [-(aNaturalNumber0(_146774))]]]]], (736 ^ _128014) ^ [_150312] : [aNaturalNumber0(_150312), 739 ^ _128014 : [(740 ^ _128014) ^ [] : [isPrime0(_150312), 743 ^ _128014 : [(748 ^ _128014) ^ [_150704] : [aNaturalNumber0(_150704), doDivides0(_150704, _150312), -(_150704 = sz10), -(_150704 = _150312)], (746 ^ _128014) ^ [] : [_150312 = sz10], (744 ^ _128014) ^ [] : [_150312 = sz00]]], (762 ^ _128014) ^ [] : [-(isPrime0(_150312)), -(_150312 = sz00), -(_150312 = sz10), 772 ^ _128014 : [(775 ^ _128014) ^ [] : [-(doDivides0(771 ^ [_150312], _150312))], (777 ^ _128014) ^ [] : [771 ^ [_150312] = sz10], (779 ^ _128014) ^ [] : [771 ^ [_150312] = _150312], (773 ^ _128014) ^ [] : [-(aNaturalNumber0(771 ^ [_150312]))]]]]], (519 ^ _128014) ^ [_144159, _144161] : [aNaturalNumber0(_144161), aNaturalNumber0(_144159), -(_144161 = sz00), -(sdtlseqdt0(_144159, sdtasdt0(_144159, _144161)))], (148 ^ _128014) ^ [_132822, _132824] : [-(aNaturalNumber0(sdtasdt0(_132824, _132822))), aNaturalNumber0(_132824), aNaturalNumber0(_132822)], (122 ^ _128014) ^ [_132094] : [aNaturalNumber0(_132094), true___, -(true___)], (214 ^ _128014) ^ [_134862] : [aNaturalNumber0(_134862), 217 ^ _128014 : [(220 ^ _128014) ^ [] : [-(_134862 = sdtasdt0(sz10, _134862))], (218 ^ _128014) ^ [] : [-(sdtasdt0(_134862, sz10) = _134862)]]], (20 ^ _128014) ^ [_128762, _128764] : [-(aNaturalNumber0(_128762)), _128764 = _128762, aNaturalNumber0(_128764)], (714 ^ _128014) ^ [_149661, _149663] : [aNaturalNumber0(_149663), aNaturalNumber0(_149661), -(_149663 = sz00), doDivides0(_149663, _149661), 729 ^ _128014 : [(730 ^ _128014) ^ [_150071] : [aNaturalNumber0(_150071), -(sdtasdt0(_150071, sdtsldt0(_149661, _149663)) = sdtsldt0(sdtasdt0(_150071, _149661), _149663))]]], (387 ^ _128014) ^ [_140255, _140257] : [aNaturalNumber0(_140257), aNaturalNumber0(_140255), -(_140257 = _140255), sdtlseqdt0(_140257, _140255), sdtlseqdt0(_140255, _140257)], (112 ^ _128014) ^ [_131763, _131765, _131767, _131769] : [-(sdtpldt0(_131769, _131765) = sdtpldt0(_131767, _131763)), _131769 = _131767, _131765 = _131763]], input).
% 43.52/42.86 ncf('1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],start(852 ^ 0)).
% 43.52/42.86 ncf('1.1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(xr, xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))],extension(443 ^ 1,bind([[_141793, _141795, _142237], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 43.52/42.86 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_132523, _132525], [xm, xr]]))).
% 43.52/42.86 ncf('1.1.2.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.1.2.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.1.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.1.2.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.52/42.86 ncf('1.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_132523, _132525], [xm, xn]]))).
% 43.52/42.86 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.52/42.86 ncf('1.1.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(xr), 459 : aNaturalNumber0(xn), 459 : -(xr = xn), 459 : sdtlseqdt0(xr, xn)],extension(443 ^ 2,bind([[_141793, _141795, _142237], [xn, xr, xm]]))).
% 43.52/42.86 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.52/42.86 ncf('1.1.4.2',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.1.4.2.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.1.4.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.1.4.2.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.1.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.1.4.4',plain,[xr = xn],extension(846 ^ 3)).
% 43.52/42.86 ncf('1.1.4.5',plain,[-(sdtlseqdt0(xr, xn))],extension(848 ^ 3)).
% 43.52/42.86 ncf('1.1.5',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(xr), 459 : aNaturalNumber0(xn), 459 : -(xr = xn), 459 : sdtlseqdt0(xr, xn)],extension(443 ^ 2,bind([[_141793, _141795, _142237], [xn, xr, xm]]))).
% 43.52/42.86 ncf('1.1.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.52/42.86 ncf('1.1.5.2',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.1.5.2.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.1.5.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.1.5.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.1.5.2.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.1.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.1.5.4',plain,[xr = xn],extension(846 ^ 3)).
% 43.52/42.86 ncf('1.1.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(848 ^ 3)).
% 43.52/42.86 ncf('1.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(xr, xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))],extension(443 ^ 1,bind([[_141793, _141795, _142237], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 43.52/42.86 ncf('1.2.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.2.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_132523, _132525], [xm, xr]]))).
% 43.52/42.86 ncf('1.2.2.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.2.2.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.2.2.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.2.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.2.2.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.2.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.52/42.86 ncf('1.2.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_132523, _132525], [xm, xn]]))).
% 43.52/42.86 ncf('1.2.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.2.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.52/42.86 ncf('1.2.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(xr), 459 : aNaturalNumber0(xn), 459 : -(xr = xn), 459 : sdtlseqdt0(xr, xn)],extension(443 ^ 2,bind([[_141793, _141795, _142237], [xn, xr, xm]]))).
% 43.52/42.86 ncf('1.2.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.52/42.86 ncf('1.2.4.2',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.2.4.2.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.2.4.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.2.4.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.2.4.2.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.2.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.2.4.4',plain,[xr = xn],extension(846 ^ 3)).
% 43.52/42.86 ncf('1.2.4.5',plain,[-(sdtlseqdt0(xr, xn))],extension(848 ^ 3)).
% 43.52/42.86 ncf('1.2.5',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(xr), 459 : aNaturalNumber0(xn), 459 : -(xr = xn), 459 : sdtlseqdt0(xr, xn)],extension(443 ^ 2,bind([[_141793, _141795, _142237], [xn, xr, xm]]))).
% 43.52/42.86 ncf('1.2.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.52/42.86 ncf('1.2.5.2',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_139125, _139127, _139472], [xn, xp, xr]]))).
% 43.52/42.86 ncf('1.2.5.2.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 43.52/42.86 ncf('1.2.5.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.52/42.86 ncf('1.2.5.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 43.52/42.86 ncf('1.2.5.2.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 43.52/42.86 ncf('1.2.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.52/42.86 ncf('1.2.5.4',plain,[xr = xn],extension(846 ^ 3)).
% 43.52/42.86 ncf('1.2.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(848 ^ 3)).
% 43.52/42.86 %-----------------------------------------------------
% 43.52/42.86 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------