TSTP Solution File: NUM495+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM495+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:44:47 EDT 2023
% Result : Theorem 23.64s 23.09s
% Output : Proof 23.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM495+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n001.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 17:08:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 23.64/23.09
% 23.64/23.09 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 23.64/23.09 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.64/23.09 %-----------------------------------------------------
% 23.64/23.09 ncf(matrix, plain, [(856 ^ _123127) ^ [] : [doDivides0(xp, xr)], (858 ^ _123127) ^ [] : [doDivides0(xp, xm)], (82 ^ _123127) ^ [_125839, _125841, _125843, _125845] : [-(sdtsldt0(_125845, _125841) = sdtsldt0(_125843, _125839)), _125845 = _125843, _125841 = _125839], (92 ^ _123127) ^ [_126198, _126200, _126202, _126204] : [-(sdtmndt0(_126204, _126200) = sdtmndt0(_126202, _126198)), _126204 = _126202, _126200 = _126198], (102 ^ _123127) ^ [_126557, _126559, _126561, _126563] : [-(sdtasdt0(_126563, _126559) = sdtasdt0(_126561, _126557)), _126563 = _126561, _126559 = _126557], (112 ^ _123127) ^ [_126896, _126898, _126900, _126902] : [-(sdtpldt0(_126902, _126898) = sdtpldt0(_126900, _126896)), _126902 = _126900, _126898 = _126896], (2 ^ _123127) ^ [_123271] : [-(_123271 = _123271)], (4 ^ _123127) ^ [_123378, _123380] : [_123380 = _123378, -(_123378 = _123380)], (10 ^ _123127) ^ [_123582, _123584, _123586] : [-(_123586 = _123582), _123586 = _123584, _123584 = _123582], (20 ^ _123127) ^ [_123895, _123897] : [-(aNaturalNumber0(_123895)), _123897 = _123895, aNaturalNumber0(_123897)], (30 ^ _123127) ^ [_124218, _124220, _124222, _124224] : [-(iLess0(_124222, _124218)), iLess0(_124224, _124220), _124224 = _124222, _124220 = _124218], (44 ^ _123127) ^ [_124634, _124636] : [-(isPrime0(_124634)), _124636 = _124634, isPrime0(_124636)], (54 ^ _123127) ^ [_124957, _124959, _124961, _124963] : [-(sdtlseqdt0(_124961, _124957)), sdtlseqdt0(_124963, _124959), _124963 = _124961, _124959 = _124957], (68 ^ _123127) ^ [_125381, _125383, _125385, _125387] : [-(doDivides0(_125385, _125381)), doDivides0(_125387, _125383), _125387 = _125385, _125383 = _125381], (122 ^ _123127) ^ [_127227] : [aNaturalNumber0(_127227), true___, -(true___)], (132 ^ _123127) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _123127) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _123127) ^ [] : [sz10 = sz00], (138 ^ _123127) ^ [_127656, _127658] : [-(aNaturalNumber0(sdtpldt0(_127658, _127656))), aNaturalNumber0(_127658), aNaturalNumber0(_127656)], (148 ^ _123127) ^ [_127955, _127957] : [-(aNaturalNumber0(sdtasdt0(_127957, _127955))), aNaturalNumber0(_127957), aNaturalNumber0(_127955)], (158 ^ _123127) ^ [_128254, _128256] : [-(sdtpldt0(_128256, _128254) = sdtpldt0(_128254, _128256)), aNaturalNumber0(_128256), aNaturalNumber0(_128254)], (168 ^ _123127) ^ [_128575, _128577, _128579] : [-(sdtpldt0(sdtpldt0(_128579, _128577), _128575) = sdtpldt0(_128579, sdtpldt0(_128577, _128575))), aNaturalNumber0(_128579), aNaturalNumber0(_128577), aNaturalNumber0(_128575)], (182 ^ _123127) ^ [_128981] : [aNaturalNumber0(_128981), 185 ^ _123127 : [(186 ^ _123127) ^ [] : [-(sdtpldt0(_128981, sz00) = _128981)], (188 ^ _123127) ^ [] : [-(_128981 = sdtpldt0(sz00, _128981))]]], (190 ^ _123127) ^ [_129268, _129270] : [-(sdtasdt0(_129270, _129268) = sdtasdt0(_129268, _129270)), aNaturalNumber0(_129270), aNaturalNumber0(_129268)], (200 ^ _123127) ^ [_129589, _129591, _129593] : [-(sdtasdt0(sdtasdt0(_129593, _129591), _129589) = sdtasdt0(_129593, sdtasdt0(_129591, _129589))), aNaturalNumber0(_129593), aNaturalNumber0(_129591), aNaturalNumber0(_129589)], (214 ^ _123127) ^ [_129995] : [aNaturalNumber0(_129995), 217 ^ _123127 : [(218 ^ _123127) ^ [] : [-(sdtasdt0(_129995, sz10) = _129995)], (220 ^ _123127) ^ [] : [-(_129995 = sdtasdt0(sz10, _129995))]]], (222 ^ _123127) ^ [_130268] : [aNaturalNumber0(_130268), 225 ^ _123127 : [(226 ^ _123127) ^ [] : [-(sdtasdt0(_130268, sz00) = sz00)], (228 ^ _123127) ^ [] : [-(sz00 = sdtasdt0(sz00, _130268))]]], (230 ^ _123127) ^ [_130569, _130571, _130573] : [241 ^ _123127 : [(242 ^ _123127) ^ [] : [-(sdtasdt0(_130573, sdtpldt0(_130571, _130569)) = sdtpldt0(sdtasdt0(_130573, _130571), sdtasdt0(_130573, _130569)))], (244 ^ _123127) ^ [] : [-(sdtasdt0(sdtpldt0(_130571, _130569), _130573) = sdtpldt0(sdtasdt0(_130571, _130573), sdtasdt0(_130569, _130573)))]], aNaturalNumber0(_130573), aNaturalNumber0(_130571), aNaturalNumber0(_130569)], (246 ^ _123127) ^ [_131116, _131118, _131120] : [259 ^ _123127 : [(260 ^ _123127) ^ [] : [sdtpldt0(_131120, _131118) = sdtpldt0(_131120, _131116)], (262 ^ _123127) ^ [] : [sdtpldt0(_131118, _131120) = sdtpldt0(_131116, _131120)]], -(_131118 = _131116), aNaturalNumber0(_131120), aNaturalNumber0(_131118), aNaturalNumber0(_131116)], (266 ^ _123127) ^ [_131693] : [aNaturalNumber0(_131693), -(_131693 = sz00), 273 ^ _123127 : [(274 ^ _123127) ^ [_131955, _131957] : [aNaturalNumber0(_131957), aNaturalNumber0(_131955), 283 ^ _123127 : [(284 ^ _123127) ^ [] : [sdtasdt0(_131693, _131957) = sdtasdt0(_131693, _131955)], (286 ^ _123127) ^ [] : [sdtasdt0(_131957, _131693) = sdtasdt0(_131955, _131693)]], -(_131957 = _131955)]]], (290 ^ _123127) ^ [_132466, _132468] : [aNaturalNumber0(_132468), aNaturalNumber0(_132466), sdtpldt0(_132468, _132466) = sz00, 301 ^ _123127 : [(302 ^ _123127) ^ [] : [-(_132468 = sz00)], (304 ^ _123127) ^ [] : [-(_132466 = sz00)]]], (306 ^ _123127) ^ [_132933, _132935] : [aNaturalNumber0(_132935), aNaturalNumber0(_132933), sdtasdt0(_132935, _132933) = sz00, -(_132935 = sz00), -(_132933 = sz00)], (324 ^ _123127) ^ [_133415, _133417] : [aNaturalNumber0(_133417), aNaturalNumber0(_133415), 331 ^ _123127 : [(332 ^ _123127) ^ [] : [sdtlseqdt0(_133417, _133415), 336 ^ _123127 : [(337 ^ _123127) ^ [] : [-(aNaturalNumber0(335 ^ [_133415, _133417]))], (339 ^ _123127) ^ [] : [-(sdtpldt0(_133417, 335 ^ [_133415, _133417]) = _133415)]]], (341 ^ _123127) ^ [] : [-(sdtlseqdt0(_133417, _133415)), 342 ^ _123127 : [(343 ^ _123127) ^ [_133975] : [aNaturalNumber0(_133975), sdtpldt0(_133417, _133975) = _133415]]]]], (351 ^ _123127) ^ [_134258, _134260] : [aNaturalNumber0(_134260), aNaturalNumber0(_134258), sdtlseqdt0(_134260, _134258), 362 ^ _123127 : [(363 ^ _123127) ^ [_134605] : [_134605 = sdtmndt0(_134258, _134260), 366 ^ _123127 : [(367 ^ _123127) ^ [] : [-(aNaturalNumber0(_134605))], (369 ^ _123127) ^ [] : [-(sdtpldt0(_134260, _134605) = _134258)]]], (371 ^ _123127) ^ [_134864] : [-(_134864 = sdtmndt0(_134258, _134260)), aNaturalNumber0(_134864), sdtpldt0(_134260, _134864) = _134258]]], (381 ^ _123127) ^ [_135186] : [aNaturalNumber0(_135186), -(sdtlseqdt0(_135186, _135186))], (387 ^ _123127) ^ [_135388, _135390] : [aNaturalNumber0(_135390), aNaturalNumber0(_135388), -(_135390 = _135388), sdtlseqdt0(_135390, _135388), sdtlseqdt0(_135388, _135390)], (405 ^ _123127) ^ [_135877, _135879, _135881] : [aNaturalNumber0(_135881), aNaturalNumber0(_135879), aNaturalNumber0(_135877), -(sdtlseqdt0(_135881, _135877)), sdtlseqdt0(_135881, _135879), sdtlseqdt0(_135879, _135877)], (427 ^ _123127) ^ [_136463, _136465] : [aNaturalNumber0(_136465), aNaturalNumber0(_136463), -(sdtlseqdt0(_136465, _136463)), 438 ^ _123127 : [(439 ^ _123127) ^ [] : [_136463 = _136465], (441 ^ _123127) ^ [] : [-(sdtlseqdt0(_136463, _136465))]]], (443 ^ _123127) ^ [_136926, _136928] : [aNaturalNumber0(_136928), aNaturalNumber0(_136926), -(_136928 = _136926), sdtlseqdt0(_136928, _136926), 458 ^ _123127 : [(459 ^ _123127) ^ [_137370] : [aNaturalNumber0(_137370), 462 ^ _123127 : [(463 ^ _123127) ^ [] : [sdtpldt0(_137370, _136928) = sdtpldt0(_137370, _136926)], (465 ^ _123127) ^ [] : [-(sdtlseqdt0(sdtpldt0(_137370, _136928), sdtpldt0(_137370, _136926)))], (467 ^ _123127) ^ [] : [sdtpldt0(_136928, _137370) = sdtpldt0(_136926, _137370)], (469 ^ _123127) ^ [] : [-(sdtlseqdt0(sdtpldt0(_136928, _137370), sdtpldt0(_136926, _137370)))]]]]], (471 ^ _123127) ^ [_137894, _137896, _137898] : [aNaturalNumber0(_137898), aNaturalNumber0(_137896), aNaturalNumber0(_137894), 494 ^ _123127 : [(495 ^ _123127) ^ [] : [sdtasdt0(_137898, _137896) = sdtasdt0(_137898, _137894)], (497 ^ _123127) ^ [] : [-(sdtlseqdt0(sdtasdt0(_137898, _137896), sdtasdt0(_137898, _137894)))], (499 ^ _123127) ^ [] : [sdtasdt0(_137896, _137898) = sdtasdt0(_137894, _137898)], (501 ^ _123127) ^ [] : [-(sdtlseqdt0(sdtasdt0(_137896, _137898), sdtasdt0(_137894, _137898)))]], -(_137898 = sz00), -(_137896 = _137894), sdtlseqdt0(_137896, _137894)], (503 ^ _123127) ^ [_138844] : [aNaturalNumber0(_138844), -(_138844 = sz00), -(_138844 = sz10), 514 ^ _123127 : [(515 ^ _123127) ^ [] : [sz10 = _138844], (517 ^ _123127) ^ [] : [-(sdtlseqdt0(sz10, _138844))]]], (519 ^ _123127) ^ [_139292, _139294] : [aNaturalNumber0(_139294), aNaturalNumber0(_139292), -(_139294 = sz00), -(sdtlseqdt0(_139292, sdtasdt0(_139292, _139294)))], (533 ^ _123127) ^ [_139687, _139689] : [aNaturalNumber0(_139689), aNaturalNumber0(_139687), iLess0(_139689, _139687), true___, -(true___)], (551 ^ _123127) ^ [_140147, _140149] : [aNaturalNumber0(_140149), aNaturalNumber0(_140147), -(iLess0(_140149, _140147)), -(_140149 = _140147), sdtlseqdt0(_140149, _140147)], (569 ^ _123127) ^ [_140625, _140627] : [aNaturalNumber0(_140627), aNaturalNumber0(_140625), 576 ^ _123127 : [(577 ^ _123127) ^ [] : [doDivides0(_140627, _140625), 581 ^ _123127 : [(582 ^ _123127) ^ [] : [-(aNaturalNumber0(580 ^ [_140625, _140627]))], (584 ^ _123127) ^ [] : [-(_140625 = sdtasdt0(_140627, 580 ^ [_140625, _140627]))]]], (586 ^ _123127) ^ [] : [-(doDivides0(_140627, _140625)), 587 ^ _123127 : [(588 ^ _123127) ^ [_141185] : [aNaturalNumber0(_141185), _140625 = sdtasdt0(_140627, _141185)]]]]], (596 ^ _123127) ^ [_141468, _141470] : [aNaturalNumber0(_141470), aNaturalNumber0(_141468), -(_141470 = sz00), doDivides0(_141470, _141468), 611 ^ _123127 : [(612 ^ _123127) ^ [_141907] : [_141907 = sdtsldt0(_141468, _141470), 615 ^ _123127 : [(616 ^ _123127) ^ [] : [-(aNaturalNumber0(_141907))], (618 ^ _123127) ^ [] : [-(_141468 = sdtasdt0(_141470, _141907))]]], (620 ^ _123127) ^ [_142166] : [-(_142166 = sdtsldt0(_141468, _141470)), aNaturalNumber0(_142166), _141468 = sdtasdt0(_141470, _142166)]]], (630 ^ _123127) ^ [_142518, _142520, _142522] : [aNaturalNumber0(_142522), aNaturalNumber0(_142520), aNaturalNumber0(_142518), -(doDivides0(_142522, _142518)), doDivides0(_142522, _142520), doDivides0(_142520, _142518)], (652 ^ _123127) ^ [_143118, _143120, _143122] : [aNaturalNumber0(_143122), aNaturalNumber0(_143120), aNaturalNumber0(_143118), -(doDivides0(_143122, sdtpldt0(_143120, _143118))), doDivides0(_143122, _143120), doDivides0(_143122, _143118)], (674 ^ _123127) ^ [_143724, _143726, _143728] : [aNaturalNumber0(_143728), aNaturalNumber0(_143726), aNaturalNumber0(_143724), -(doDivides0(_143728, _143724)), doDivides0(_143728, _143726), doDivides0(_143728, sdtpldt0(_143726, _143724))], (696 ^ _123127) ^ [_144316, _144318] : [aNaturalNumber0(_144318), aNaturalNumber0(_144316), -(sdtlseqdt0(_144318, _144316)), doDivides0(_144318, _144316), -(_144316 = sz00)], (714 ^ _123127) ^ [_144794, _144796] : [aNaturalNumber0(_144796), aNaturalNumber0(_144794), -(_144796 = sz00), doDivides0(_144796, _144794), 729 ^ _123127 : [(730 ^ _123127) ^ [_145204] : [aNaturalNumber0(_145204), -(sdtasdt0(_145204, sdtsldt0(_144794, _144796)) = sdtsldt0(sdtasdt0(_145204, _144794), _144796))]]], (736 ^ _123127) ^ [_145445] : [aNaturalNumber0(_145445), 739 ^ _123127 : [(762 ^ _123127) ^ [] : [-(isPrime0(_145445)), -(_145445 = sz00), -(_145445 = sz10), 772 ^ _123127 : [(773 ^ _123127) ^ [] : [-(aNaturalNumber0(771 ^ [_145445]))], (775 ^ _123127) ^ [] : [-(doDivides0(771 ^ [_145445], _145445))], (777 ^ _123127) ^ [] : [771 ^ [_145445] = sz10], (779 ^ _123127) ^ [] : [771 ^ [_145445] = _145445]]], (740 ^ _123127) ^ [] : [isPrime0(_145445), 743 ^ _123127 : [(744 ^ _123127) ^ [] : [_145445 = sz00], (746 ^ _123127) ^ [] : [_145445 = sz10], (748 ^ _123127) ^ [_145837] : [aNaturalNumber0(_145837), doDivides0(_145837, _145445), -(_145837 = sz10), -(_145837 = _145445)]]]]], (783 ^ _123127) ^ [_146789] : [795 ^ _123127 : [(796 ^ _123127) ^ [] : [-(aNaturalNumber0(794 ^ [_146789]))], (798 ^ _123127) ^ [] : [-(doDivides0(794 ^ [_146789], _146789))], (800 ^ _123127) ^ [] : [-(isPrime0(794 ^ [_146789]))]], aNaturalNumber0(_146789), -(_146789 = sz00), -(_146789 = sz10)], (802 ^ _123127) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _123127) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _123127) ^ [] : [-(aNaturalNumber0(xp))], (838 ^ _123127) ^ [] : [-(isPrime0(xp))], (840 ^ _123127) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (842 ^ _123127) ^ [] : [-(sdtlseqdt0(xp, xn))], (844 ^ _123127) ^ [] : [-(xr = sdtmndt0(xn, xp))], (846 ^ _123127) ^ [] : [xr = xn], (848 ^ _123127) ^ [] : [-(sdtlseqdt0(xr, xn))], (850 ^ _123127) ^ [] : [-(doDivides0(xp, sdtasdt0(xr, xm)))], (852 ^ _123127) ^ [] : [sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], (854 ^ _123127) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], (808 ^ _123127) ^ [_147556, _147558, _147560] : [aNaturalNumber0(_147560), aNaturalNumber0(_147558), aNaturalNumber0(_147556), isPrime0(_147556), doDivides0(_147556, sdtasdt0(_147560, _147558)), iLess0(sdtpldt0(sdtpldt0(_147560, _147558), _147556), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_147556, _147560)), -(doDivides0(_147556, _147558))]], input).
% 23.64/23.09 ncf('1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(852 ^ 0)).
% 23.64/23.09 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(551 ^ 1,bind([[_140147, _140149], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(xr, xm), xp)]]))).
% 23.64/23.09 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp))), aNaturalNumber0(sdtpldt0(xr, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_127656, _127658], [xp, sdtpldt0(xr, xm)]]))).
% 23.64/23.09 ncf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_127656, _127658], [xm, xr]]))).
% 23.64/23.09 ncf('1.1.1.1.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 4,bind([[_134258, _134260, _134605], [xn, xp, xr]]))).
% 23.64/23.09 ncf('1.1.1.1.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 7)).
% 23.64/23.09 ncf('1.1.1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 23.64/23.09 ncf('1.1.1.1.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 23.64/23.09 ncf('1.1.1.1.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 5)).
% 23.64/23.09 ncf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 23.64/23.09 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 23.64/23.09 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_127656, _127658], [xp, sdtpldt0(xn, xm)]]))).
% 23.64/23.09 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_127656, _127658], [xm, xn]]))).
% 23.64/23.09 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 23.64/23.09 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 23.64/23.09 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 23.64/23.09 ncf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xp), isPrime0(xp), doDivides0(xp, sdtasdt0(xr, xm)), -(doDivides0(xp, xr)), -(doDivides0(xp, xm))],extension(808 ^ 2,bind([[_147556, _147558, _147560], [xp, xm, xr]]))).
% 23.64/23.09 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_134258, _134260, _134605], [xn, xp, xr]]))).
% 23.64/23.09 ncf('1.1.3.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 6)).
% 23.64/23.09 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 23.64/23.09 ncf('1.1.3.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 23.64/23.09 ncf('1.1.3.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 4)).
% 23.64/23.09 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 23.64/23.09 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 23.64/23.09 ncf('1.1.3.4',plain,[-(isPrime0(xp))],extension(838 ^ 3)).
% 23.64/23.09 ncf('1.1.3.5',plain,[-(doDivides0(xp, sdtasdt0(xr, xm)))],extension(850 ^ 3)).
% 23.64/23.09 ncf('1.1.3.6',plain,[doDivides0(xp, xr)],extension(856 ^ 3)).
% 23.64/23.09 ncf('1.1.3.7',plain,[doDivides0(xp, xm)],extension(858 ^ 3)).
% 23.64/23.09 ncf('1.1.4',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 ^ 2,bind([[_136926, _136928, _137370], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 23.64/23.09 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 23.64/23.09 ncf('1.1.4.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_127656, _127658], [xm, xr]]))).
% 23.64/23.09 ncf('1.1.4.2.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 4,bind([[_134258, _134260, _134605], [xn, xp, xr]]))).
% 23.64/23.09 ncf('1.1.4.2.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 7)).
% 23.64/23.09 ncf('1.1.4.2.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 23.64/23.09 ncf('1.1.4.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 23.64/23.09 ncf('1.1.4.2.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 5)).
% 23.64/23.09 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 23.64/23.09 ncf('1.1.4.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_127656, _127658], [xm, xn]]))).
% 23.64/23.09 ncf('1.1.4.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 23.64/23.09 ncf('1.1.4.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 23.64/23.09 ncf('1.1.4.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), xp = xp],extension(112 ^ 3,bind([[_126896, _126898, _126900, _126902], [xp, xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)]]))).
% 23.64/23.09 ncf('1.1.4.4.1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],reduction('1')).
% 23.64/23.09 ncf('1.1.4.4.2',plain,[-(xp = xp)],extension(2 ^ 4,bind([[_123271], [xp]]))).
% 23.64/23.09 ncf('1.1.4.5',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 ^ 3,bind([[_136926, _136928, _137370], [xn, xr, xm]]))).
% 23.64/23.09 ncf('1.1.4.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 23.64/23.09 ncf('1.1.4.5.2',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 4,bind([[_134258, _134260, _134605], [xn, xp, xr]]))).
% 23.64/23.09 ncf('1.1.4.5.2.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 7)).
% 23.64/23.09 ncf('1.1.4.5.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 23.64/23.09 ncf('1.1.4.5.2.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 23.64/23.09 ncf('1.1.4.5.2.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 5)).
% 23.64/23.09 ncf('1.1.4.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 23.64/23.09 ncf('1.1.4.5.4',plain,[xr = xn],extension(846 ^ 4)).
% 23.64/23.09 ncf('1.1.4.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(848 ^ 4)).
% 23.64/23.09 %-----------------------------------------------------
% 23.64/23.09 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------