TSTP Solution File: NUM508+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM508+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 11:44:49 EDT 2023
% Result : Theorem 3.29s 3.45s
% Output : Proof 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM508+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.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 16:58:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 3.29/3.45
% 3.29/3.45 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.29/3.45 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/3.45 %-----------------------------------------------------
% 3.29/3.45 ncf(matrix, plain, [(882 ^ _117666) ^ [] : [doDivides0(xr, xn)], (884 ^ _117666) ^ [] : [doDivides0(xr, xm)], (82 ^ _117666) ^ [_120378, _120380, _120382, _120384] : [-(sdtmndt0(_120384, _120380) = sdtmndt0(_120382, _120378)), _120384 = _120382, _120380 = _120378], (92 ^ _117666) ^ [_120737, _120739, _120741, _120743] : [-(sdtsldt0(_120743, _120739) = sdtsldt0(_120741, _120737)), _120743 = _120741, _120739 = _120737], (102 ^ _117666) ^ [_121096, _121098, _121100, _121102] : [-(sdtasdt0(_121102, _121098) = sdtasdt0(_121100, _121096)), _121102 = _121100, _121098 = _121096], (112 ^ _117666) ^ [_121435, _121437, _121439, _121441] : [-(sdtpldt0(_121441, _121437) = sdtpldt0(_121439, _121435)), _121441 = _121439, _121437 = _121435], (2 ^ _117666) ^ [_117810] : [-(_117810 = _117810)], (4 ^ _117666) ^ [_117917, _117919] : [_117919 = _117917, -(_117917 = _117919)], (10 ^ _117666) ^ [_118121, _118123, _118125] : [-(_118125 = _118121), _118125 = _118123, _118123 = _118121], (20 ^ _117666) ^ [_118462, _118464, _118466, _118468] : [-(iLess0(_118466, _118462)), iLess0(_118468, _118464), _118468 = _118466, _118464 = _118462], (34 ^ _117666) ^ [_118878, _118880] : [-(aNaturalNumber0(_118878)), _118880 = _118878, aNaturalNumber0(_118880)], (44 ^ _117666) ^ [_119173, _119175] : [-(isPrime0(_119173)), _119175 = _119173, isPrime0(_119175)], (54 ^ _117666) ^ [_119496, _119498, _119500, _119502] : [-(sdtlseqdt0(_119500, _119496)), sdtlseqdt0(_119502, _119498), _119502 = _119500, _119498 = _119496], (68 ^ _117666) ^ [_119920, _119922, _119924, _119926] : [-(doDivides0(_119924, _119920)), doDivides0(_119926, _119922), _119926 = _119924, _119922 = _119920], (122 ^ _117666) ^ [_121766] : [aNaturalNumber0(_121766), true___, -(true___)], (132 ^ _117666) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _117666) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _117666) ^ [] : [sz10 = sz00], (138 ^ _117666) ^ [_122195, _122197] : [-(aNaturalNumber0(sdtpldt0(_122197, _122195))), aNaturalNumber0(_122197), aNaturalNumber0(_122195)], (148 ^ _117666) ^ [_122494, _122496] : [-(aNaturalNumber0(sdtasdt0(_122496, _122494))), aNaturalNumber0(_122496), aNaturalNumber0(_122494)], (158 ^ _117666) ^ [_122793, _122795] : [-(sdtpldt0(_122795, _122793) = sdtpldt0(_122793, _122795)), aNaturalNumber0(_122795), aNaturalNumber0(_122793)], (168 ^ _117666) ^ [_123114, _123116, _123118] : [-(sdtpldt0(sdtpldt0(_123118, _123116), _123114) = sdtpldt0(_123118, sdtpldt0(_123116, _123114))), aNaturalNumber0(_123118), aNaturalNumber0(_123116), aNaturalNumber0(_123114)], (182 ^ _117666) ^ [_123520] : [aNaturalNumber0(_123520), 185 ^ _117666 : [(186 ^ _117666) ^ [] : [-(sdtpldt0(_123520, sz00) = _123520)], (188 ^ _117666) ^ [] : [-(_123520 = sdtpldt0(sz00, _123520))]]], (190 ^ _117666) ^ [_123807, _123809] : [-(sdtasdt0(_123809, _123807) = sdtasdt0(_123807, _123809)), aNaturalNumber0(_123809), aNaturalNumber0(_123807)], (200 ^ _117666) ^ [_124128, _124130, _124132] : [-(sdtasdt0(sdtasdt0(_124132, _124130), _124128) = sdtasdt0(_124132, sdtasdt0(_124130, _124128))), aNaturalNumber0(_124132), aNaturalNumber0(_124130), aNaturalNumber0(_124128)], (214 ^ _117666) ^ [_124534] : [aNaturalNumber0(_124534), 217 ^ _117666 : [(218 ^ _117666) ^ [] : [-(sdtasdt0(_124534, sz10) = _124534)], (220 ^ _117666) ^ [] : [-(_124534 = sdtasdt0(sz10, _124534))]]], (222 ^ _117666) ^ [_124807] : [aNaturalNumber0(_124807), 225 ^ _117666 : [(226 ^ _117666) ^ [] : [-(sdtasdt0(_124807, sz00) = sz00)], (228 ^ _117666) ^ [] : [-(sz00 = sdtasdt0(sz00, _124807))]]], (230 ^ _117666) ^ [_125108, _125110, _125112] : [241 ^ _117666 : [(242 ^ _117666) ^ [] : [-(sdtasdt0(_125112, sdtpldt0(_125110, _125108)) = sdtpldt0(sdtasdt0(_125112, _125110), sdtasdt0(_125112, _125108)))], (244 ^ _117666) ^ [] : [-(sdtasdt0(sdtpldt0(_125110, _125108), _125112) = sdtpldt0(sdtasdt0(_125110, _125112), sdtasdt0(_125108, _125112)))]], aNaturalNumber0(_125112), aNaturalNumber0(_125110), aNaturalNumber0(_125108)], (246 ^ _117666) ^ [_125655, _125657, _125659] : [259 ^ _117666 : [(260 ^ _117666) ^ [] : [sdtpldt0(_125659, _125657) = sdtpldt0(_125659, _125655)], (262 ^ _117666) ^ [] : [sdtpldt0(_125657, _125659) = sdtpldt0(_125655, _125659)]], -(_125657 = _125655), aNaturalNumber0(_125659), aNaturalNumber0(_125657), aNaturalNumber0(_125655)], (266 ^ _117666) ^ [_126232] : [aNaturalNumber0(_126232), -(_126232 = sz00), 273 ^ _117666 : [(274 ^ _117666) ^ [_126494, _126496] : [aNaturalNumber0(_126496), aNaturalNumber0(_126494), 283 ^ _117666 : [(284 ^ _117666) ^ [] : [sdtasdt0(_126232, _126496) = sdtasdt0(_126232, _126494)], (286 ^ _117666) ^ [] : [sdtasdt0(_126496, _126232) = sdtasdt0(_126494, _126232)]], -(_126496 = _126494)]]], (290 ^ _117666) ^ [_127005, _127007] : [aNaturalNumber0(_127007), aNaturalNumber0(_127005), sdtpldt0(_127007, _127005) = sz00, 301 ^ _117666 : [(302 ^ _117666) ^ [] : [-(_127007 = sz00)], (304 ^ _117666) ^ [] : [-(_127005 = sz00)]]], (306 ^ _117666) ^ [_127472, _127474] : [aNaturalNumber0(_127474), aNaturalNumber0(_127472), sdtasdt0(_127474, _127472) = sz00, -(_127474 = sz00), -(_127472 = sz00)], (324 ^ _117666) ^ [_127954, _127956] : [aNaturalNumber0(_127956), aNaturalNumber0(_127954), 331 ^ _117666 : [(332 ^ _117666) ^ [] : [sdtlseqdt0(_127956, _127954), 336 ^ _117666 : [(337 ^ _117666) ^ [] : [-(aNaturalNumber0(335 ^ [_127954, _127956]))], (339 ^ _117666) ^ [] : [-(sdtpldt0(_127956, 335 ^ [_127954, _127956]) = _127954)]]], (341 ^ _117666) ^ [] : [-(sdtlseqdt0(_127956, _127954)), 342 ^ _117666 : [(343 ^ _117666) ^ [_128514] : [aNaturalNumber0(_128514), sdtpldt0(_127956, _128514) = _127954]]]]], (351 ^ _117666) ^ [_128797, _128799] : [aNaturalNumber0(_128799), aNaturalNumber0(_128797), sdtlseqdt0(_128799, _128797), 362 ^ _117666 : [(363 ^ _117666) ^ [_129144] : [_129144 = sdtmndt0(_128797, _128799), 366 ^ _117666 : [(367 ^ _117666) ^ [] : [-(aNaturalNumber0(_129144))], (369 ^ _117666) ^ [] : [-(sdtpldt0(_128799, _129144) = _128797)]]], (371 ^ _117666) ^ [_129403] : [-(_129403 = sdtmndt0(_128797, _128799)), aNaturalNumber0(_129403), sdtpldt0(_128799, _129403) = _128797]]], (381 ^ _117666) ^ [_129725] : [aNaturalNumber0(_129725), -(sdtlseqdt0(_129725, _129725))], (387 ^ _117666) ^ [_129927, _129929] : [aNaturalNumber0(_129929), aNaturalNumber0(_129927), -(_129929 = _129927), sdtlseqdt0(_129929, _129927), sdtlseqdt0(_129927, _129929)], (405 ^ _117666) ^ [_130416, _130418, _130420] : [aNaturalNumber0(_130420), aNaturalNumber0(_130418), aNaturalNumber0(_130416), -(sdtlseqdt0(_130420, _130416)), sdtlseqdt0(_130420, _130418), sdtlseqdt0(_130418, _130416)], (427 ^ _117666) ^ [_131002, _131004] : [aNaturalNumber0(_131004), aNaturalNumber0(_131002), -(sdtlseqdt0(_131004, _131002)), 438 ^ _117666 : [(439 ^ _117666) ^ [] : [_131002 = _131004], (441 ^ _117666) ^ [] : [-(sdtlseqdt0(_131002, _131004))]]], (443 ^ _117666) ^ [_131465, _131467] : [aNaturalNumber0(_131467), aNaturalNumber0(_131465), -(_131467 = _131465), sdtlseqdt0(_131467, _131465), 458 ^ _117666 : [(459 ^ _117666) ^ [_131909] : [aNaturalNumber0(_131909), 462 ^ _117666 : [(463 ^ _117666) ^ [] : [sdtpldt0(_131909, _131467) = sdtpldt0(_131909, _131465)], (465 ^ _117666) ^ [] : [-(sdtlseqdt0(sdtpldt0(_131909, _131467), sdtpldt0(_131909, _131465)))], (467 ^ _117666) ^ [] : [sdtpldt0(_131467, _131909) = sdtpldt0(_131465, _131909)], (469 ^ _117666) ^ [] : [-(sdtlseqdt0(sdtpldt0(_131467, _131909), sdtpldt0(_131465, _131909)))]]]]], (471 ^ _117666) ^ [_132433, _132435, _132437] : [aNaturalNumber0(_132437), aNaturalNumber0(_132435), aNaturalNumber0(_132433), 494 ^ _117666 : [(495 ^ _117666) ^ [] : [sdtasdt0(_132437, _132435) = sdtasdt0(_132437, _132433)], (497 ^ _117666) ^ [] : [-(sdtlseqdt0(sdtasdt0(_132437, _132435), sdtasdt0(_132437, _132433)))], (499 ^ _117666) ^ [] : [sdtasdt0(_132435, _132437) = sdtasdt0(_132433, _132437)], (501 ^ _117666) ^ [] : [-(sdtlseqdt0(sdtasdt0(_132435, _132437), sdtasdt0(_132433, _132437)))]], -(_132437 = sz00), -(_132435 = _132433), sdtlseqdt0(_132435, _132433)], (503 ^ _117666) ^ [_133383] : [aNaturalNumber0(_133383), -(_133383 = sz00), -(_133383 = sz10), 514 ^ _117666 : [(515 ^ _117666) ^ [] : [sz10 = _133383], (517 ^ _117666) ^ [] : [-(sdtlseqdt0(sz10, _133383))]]], (519 ^ _117666) ^ [_133831, _133833] : [aNaturalNumber0(_133833), aNaturalNumber0(_133831), -(_133833 = sz00), -(sdtlseqdt0(_133831, sdtasdt0(_133831, _133833)))], (533 ^ _117666) ^ [_134226, _134228] : [aNaturalNumber0(_134228), aNaturalNumber0(_134226), iLess0(_134228, _134226), true___, -(true___)], (551 ^ _117666) ^ [_134686, _134688] : [aNaturalNumber0(_134688), aNaturalNumber0(_134686), -(iLess0(_134688, _134686)), -(_134688 = _134686), sdtlseqdt0(_134688, _134686)], (569 ^ _117666) ^ [_135164, _135166] : [aNaturalNumber0(_135166), aNaturalNumber0(_135164), 576 ^ _117666 : [(577 ^ _117666) ^ [] : [doDivides0(_135166, _135164), 581 ^ _117666 : [(582 ^ _117666) ^ [] : [-(aNaturalNumber0(580 ^ [_135164, _135166]))], (584 ^ _117666) ^ [] : [-(_135164 = sdtasdt0(_135166, 580 ^ [_135164, _135166]))]]], (586 ^ _117666) ^ [] : [-(doDivides0(_135166, _135164)), 587 ^ _117666 : [(588 ^ _117666) ^ [_135724] : [aNaturalNumber0(_135724), _135164 = sdtasdt0(_135166, _135724)]]]]], (596 ^ _117666) ^ [_136007, _136009] : [aNaturalNumber0(_136009), aNaturalNumber0(_136007), -(_136009 = sz00), doDivides0(_136009, _136007), 611 ^ _117666 : [(612 ^ _117666) ^ [_136446] : [_136446 = sdtsldt0(_136007, _136009), 615 ^ _117666 : [(616 ^ _117666) ^ [] : [-(aNaturalNumber0(_136446))], (618 ^ _117666) ^ [] : [-(_136007 = sdtasdt0(_136009, _136446))]]], (620 ^ _117666) ^ [_136705] : [-(_136705 = sdtsldt0(_136007, _136009)), aNaturalNumber0(_136705), _136007 = sdtasdt0(_136009, _136705)]]], (630 ^ _117666) ^ [_137057, _137059, _137061] : [aNaturalNumber0(_137061), aNaturalNumber0(_137059), aNaturalNumber0(_137057), -(doDivides0(_137061, _137057)), doDivides0(_137061, _137059), doDivides0(_137059, _137057)], (652 ^ _117666) ^ [_137657, _137659, _137661] : [aNaturalNumber0(_137661), aNaturalNumber0(_137659), aNaturalNumber0(_137657), -(doDivides0(_137661, sdtpldt0(_137659, _137657))), doDivides0(_137661, _137659), doDivides0(_137661, _137657)], (674 ^ _117666) ^ [_138263, _138265, _138267] : [aNaturalNumber0(_138267), aNaturalNumber0(_138265), aNaturalNumber0(_138263), -(doDivides0(_138267, _138263)), doDivides0(_138267, _138265), doDivides0(_138267, sdtpldt0(_138265, _138263))], (696 ^ _117666) ^ [_138855, _138857] : [aNaturalNumber0(_138857), aNaturalNumber0(_138855), -(sdtlseqdt0(_138857, _138855)), doDivides0(_138857, _138855), -(_138855 = sz00)], (714 ^ _117666) ^ [_139333, _139335] : [aNaturalNumber0(_139335), aNaturalNumber0(_139333), -(_139335 = sz00), doDivides0(_139335, _139333), 729 ^ _117666 : [(730 ^ _117666) ^ [_139743] : [aNaturalNumber0(_139743), -(sdtasdt0(_139743, sdtsldt0(_139333, _139335)) = sdtsldt0(sdtasdt0(_139743, _139333), _139335))]]], (736 ^ _117666) ^ [_139984] : [aNaturalNumber0(_139984), 739 ^ _117666 : [(762 ^ _117666) ^ [] : [-(isPrime0(_139984)), -(_139984 = sz00), -(_139984 = sz10), 772 ^ _117666 : [(773 ^ _117666) ^ [] : [-(aNaturalNumber0(771 ^ [_139984]))], (775 ^ _117666) ^ [] : [-(doDivides0(771 ^ [_139984], _139984))], (777 ^ _117666) ^ [] : [771 ^ [_139984] = sz10], (779 ^ _117666) ^ [] : [771 ^ [_139984] = _139984]]], (740 ^ _117666) ^ [] : [isPrime0(_139984), 743 ^ _117666 : [(744 ^ _117666) ^ [] : [_139984 = sz00], (746 ^ _117666) ^ [] : [_139984 = sz10], (748 ^ _117666) ^ [_140376] : [aNaturalNumber0(_140376), doDivides0(_140376, _139984), -(_140376 = sz10), -(_140376 = _139984)]]]]], (783 ^ _117666) ^ [_141328] : [795 ^ _117666 : [(796 ^ _117666) ^ [] : [-(aNaturalNumber0(794 ^ [_141328]))], (798 ^ _117666) ^ [] : [-(doDivides0(794 ^ [_141328], _141328))], (800 ^ _117666) ^ [] : [-(isPrime0(794 ^ [_141328]))]], aNaturalNumber0(_141328), -(_141328 = sz00), -(_141328 = sz10)], (802 ^ _117666) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _117666) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _117666) ^ [] : [-(aNaturalNumber0(xp))], (838 ^ _117666) ^ [] : [-(isPrime0(xp))], (840 ^ _117666) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (842 ^ _117666) ^ [] : [sdtlseqdt0(xp, xn)], (844 ^ _117666) ^ [] : [sdtlseqdt0(xp, xm)], (846 ^ _117666) ^ [] : [xn = xp], (848 ^ _117666) ^ [] : [-(sdtlseqdt0(xn, xp))], (850 ^ _117666) ^ [] : [xm = xp], (852 ^ _117666) ^ [] : [-(sdtlseqdt0(xm, xp))], (854 ^ _117666) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (856 ^ _117666) ^ [] : [xk = sz00], (858 ^ _117666) ^ [] : [xk = sz10], (860 ^ _117666) ^ [] : [xk = sz00], (862 ^ _117666) ^ [] : [xk = sz10], (864 ^ _117666) ^ [] : [-(aNaturalNumber0(xr))], (866 ^ _117666) ^ [] : [-(doDivides0(xr, xk))], (868 ^ _117666) ^ [] : [-(isPrime0(xr))], (870 ^ _117666) ^ [] : [-(sdtlseqdt0(xr, xk))], (872 ^ _117666) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (874 ^ _117666) ^ [] : [xk = xp], (876 ^ _117666) ^ [] : [-(sdtlseqdt0(xk, xp))], (878 ^ _117666) ^ [] : [sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)], (880 ^ _117666) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))], (808 ^ _117666) ^ [_142095, _142097, _142099] : [aNaturalNumber0(_142099), aNaturalNumber0(_142097), aNaturalNumber0(_142095), isPrime0(_142095), doDivides0(_142095, sdtasdt0(_142099, _142097)), iLess0(sdtpldt0(sdtpldt0(_142099, _142097), _142095), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_142095, _142099)), -(doDivides0(_142095, _142097))]], input).
% 3.29/3.45 ncf('1',plain,[sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(878 ^ 0)).
% 3.29/3.45 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(551 ^ 1,bind([[_134686, _134688], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xr)]]))).
% 3.29/3.45 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xr)],extension(138 ^ 2,bind([[_122195, _122197], [xr, sdtpldt0(xn, xm)]]))).
% 3.29/3.45 ncf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_122195, _122197], [xm, xn]]))).
% 3.29/3.45 ncf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 3.29/3.45 ncf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 3.29/3.45 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 3)).
% 3.29/3.45 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_122195, _122197], [xp, sdtpldt0(xn, xm)]]))).
% 3.29/3.45 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_122195, _122197], [xm, xn]]))).
% 3.29/3.45 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 3.29/3.45 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 3.29/3.45 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 3.29/3.45 ncf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xn), aNaturalNumber0(xm), aNaturalNumber0(xr), isPrime0(xr), doDivides0(xr, sdtasdt0(xn, xm)), -(doDivides0(xr, xn)), -(doDivides0(xr, xm))],extension(808 ^ 2,bind([[_142095, _142097, _142099], [xr, xm, xn]]))).
% 3.29/3.45 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 3.29/3.45 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 3.29/3.45 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xr))],extension(864 ^ 3)).
% 3.29/3.45 ncf('1.1.3.4',plain,[-(isPrime0(xr))],extension(868 ^ 3)).
% 3.29/3.45 ncf('1.1.3.5',plain,[-(doDivides0(xr, sdtasdt0(xn, xm)))],extension(872 ^ 3)).
% 3.29/3.45 ncf('1.1.3.6',plain,[doDivides0(xr, xn)],extension(882 ^ 3)).
% 3.29/3.45 ncf('1.1.3.7',plain,[doDivides0(xr, xm)],extension(884 ^ 3)).
% 3.29/3.45 ncf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(880 ^ 2)).
% 3.29/3.45 %-----------------------------------------------------
% 3.29/3.45 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------