TSTP Solution File: NUM521+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM521+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 11:44:52 EDT 2023
% Result : Theorem 2.92s 3.44s
% Output : Proof 2.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM521+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:42:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 2.92/3.44
% 2.92/3.44 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.92/3.44 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.92/3.44 %-----------------------------------------------------
% 2.92/3.44 ncf(matrix, plain, [(951 ^ _127212) ^ [_156417] : [aNaturalNumber0(_156417), xn = sdtasdt0(xp, _156417)], (957 ^ _127212) ^ [] : [doDivides0(xp, xn)], (965 ^ _127212) ^ [] : [doDivides0(xp, xm)], (959 ^ _127212) ^ [_156662] : [aNaturalNumber0(_156662), xm = sdtasdt0(xp, _156662)], (82 ^ _127212) ^ [_129924, _129926, _129928, _129930] : [-(sdtmndt0(_129930, _129926) = sdtmndt0(_129928, _129924)), _129930 = _129928, _129926 = _129924], (92 ^ _127212) ^ [_130283, _130285, _130287, _130289] : [-(sdtsldt0(_130289, _130285) = sdtsldt0(_130287, _130283)), _130289 = _130287, _130285 = _130283], (102 ^ _127212) ^ [_130642, _130644, _130646, _130648] : [-(sdtpldt0(_130648, _130644) = sdtpldt0(_130646, _130642)), _130648 = _130646, _130644 = _130642], (112 ^ _127212) ^ [_130981, _130983, _130985, _130987] : [-(sdtasdt0(_130987, _130983) = sdtasdt0(_130985, _130981)), _130987 = _130985, _130983 = _130981], (2 ^ _127212) ^ [_127356] : [-(_127356 = _127356)], (4 ^ _127212) ^ [_127463, _127465] : [_127465 = _127463, -(_127463 = _127465)], (10 ^ _127212) ^ [_127667, _127669, _127671] : [-(_127671 = _127667), _127671 = _127669, _127669 = _127667], (20 ^ _127212) ^ [_128008, _128010, _128012, _128014] : [-(iLess0(_128012, _128008)), iLess0(_128014, _128010), _128014 = _128012, _128010 = _128008], (34 ^ _127212) ^ [_128424, _128426] : [-(isPrime0(_128424)), _128426 = _128424, isPrime0(_128426)], (44 ^ _127212) ^ [_128747, _128749, _128751, _128753] : [-(sdtlseqdt0(_128751, _128747)), sdtlseqdt0(_128753, _128749), _128753 = _128751, _128749 = _128747], (58 ^ _127212) ^ [_129163, _129165] : [-(aNaturalNumber0(_129163)), _129165 = _129163, aNaturalNumber0(_129165)], (68 ^ _127212) ^ [_129466, _129468, _129470, _129472] : [-(doDivides0(_129470, _129466)), doDivides0(_129472, _129468), _129472 = _129470, _129468 = _129466], (122 ^ _127212) ^ [_131312] : [aNaturalNumber0(_131312), true___, -(true___)], (132 ^ _127212) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _127212) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _127212) ^ [] : [sz10 = sz00], (138 ^ _127212) ^ [_131741, _131743] : [-(aNaturalNumber0(sdtpldt0(_131743, _131741))), aNaturalNumber0(_131743), aNaturalNumber0(_131741)], (148 ^ _127212) ^ [_132040, _132042] : [-(aNaturalNumber0(sdtasdt0(_132042, _132040))), aNaturalNumber0(_132042), aNaturalNumber0(_132040)], (158 ^ _127212) ^ [_132339, _132341] : [-(sdtpldt0(_132341, _132339) = sdtpldt0(_132339, _132341)), aNaturalNumber0(_132341), aNaturalNumber0(_132339)], (168 ^ _127212) ^ [_132660, _132662, _132664] : [-(sdtpldt0(sdtpldt0(_132664, _132662), _132660) = sdtpldt0(_132664, sdtpldt0(_132662, _132660))), aNaturalNumber0(_132664), aNaturalNumber0(_132662), aNaturalNumber0(_132660)], (182 ^ _127212) ^ [_133066] : [aNaturalNumber0(_133066), 185 ^ _127212 : [(186 ^ _127212) ^ [] : [-(sdtpldt0(_133066, sz00) = _133066)], (188 ^ _127212) ^ [] : [-(_133066 = sdtpldt0(sz00, _133066))]]], (190 ^ _127212) ^ [_133353, _133355] : [-(sdtasdt0(_133355, _133353) = sdtasdt0(_133353, _133355)), aNaturalNumber0(_133355), aNaturalNumber0(_133353)], (200 ^ _127212) ^ [_133674, _133676, _133678] : [-(sdtasdt0(sdtasdt0(_133678, _133676), _133674) = sdtasdt0(_133678, sdtasdt0(_133676, _133674))), aNaturalNumber0(_133678), aNaturalNumber0(_133676), aNaturalNumber0(_133674)], (214 ^ _127212) ^ [_134080] : [aNaturalNumber0(_134080), 217 ^ _127212 : [(218 ^ _127212) ^ [] : [-(sdtasdt0(_134080, sz10) = _134080)], (220 ^ _127212) ^ [] : [-(_134080 = sdtasdt0(sz10, _134080))]]], (222 ^ _127212) ^ [_134353] : [aNaturalNumber0(_134353), 225 ^ _127212 : [(226 ^ _127212) ^ [] : [-(sdtasdt0(_134353, sz00) = sz00)], (228 ^ _127212) ^ [] : [-(sz00 = sdtasdt0(sz00, _134353))]]], (230 ^ _127212) ^ [_134654, _134656, _134658] : [241 ^ _127212 : [(242 ^ _127212) ^ [] : [-(sdtasdt0(_134658, sdtpldt0(_134656, _134654)) = sdtpldt0(sdtasdt0(_134658, _134656), sdtasdt0(_134658, _134654)))], (244 ^ _127212) ^ [] : [-(sdtasdt0(sdtpldt0(_134656, _134654), _134658) = sdtpldt0(sdtasdt0(_134656, _134658), sdtasdt0(_134654, _134658)))]], aNaturalNumber0(_134658), aNaturalNumber0(_134656), aNaturalNumber0(_134654)], (246 ^ _127212) ^ [_135201, _135203, _135205] : [259 ^ _127212 : [(260 ^ _127212) ^ [] : [sdtpldt0(_135205, _135203) = sdtpldt0(_135205, _135201)], (262 ^ _127212) ^ [] : [sdtpldt0(_135203, _135205) = sdtpldt0(_135201, _135205)]], -(_135203 = _135201), aNaturalNumber0(_135205), aNaturalNumber0(_135203), aNaturalNumber0(_135201)], (266 ^ _127212) ^ [_135778] : [aNaturalNumber0(_135778), -(_135778 = sz00), 273 ^ _127212 : [(274 ^ _127212) ^ [_136040, _136042] : [aNaturalNumber0(_136042), aNaturalNumber0(_136040), 283 ^ _127212 : [(284 ^ _127212) ^ [] : [sdtasdt0(_135778, _136042) = sdtasdt0(_135778, _136040)], (286 ^ _127212) ^ [] : [sdtasdt0(_136042, _135778) = sdtasdt0(_136040, _135778)]], -(_136042 = _136040)]]], (290 ^ _127212) ^ [_136551, _136553] : [aNaturalNumber0(_136553), aNaturalNumber0(_136551), sdtpldt0(_136553, _136551) = sz00, 301 ^ _127212 : [(302 ^ _127212) ^ [] : [-(_136553 = sz00)], (304 ^ _127212) ^ [] : [-(_136551 = sz00)]]], (306 ^ _127212) ^ [_137018, _137020] : [aNaturalNumber0(_137020), aNaturalNumber0(_137018), sdtasdt0(_137020, _137018) = sz00, -(_137020 = sz00), -(_137018 = sz00)], (324 ^ _127212) ^ [_137500, _137502] : [aNaturalNumber0(_137502), aNaturalNumber0(_137500), 331 ^ _127212 : [(332 ^ _127212) ^ [] : [sdtlseqdt0(_137502, _137500), 336 ^ _127212 : [(337 ^ _127212) ^ [] : [-(aNaturalNumber0(335 ^ [_137500, _137502]))], (339 ^ _127212) ^ [] : [-(sdtpldt0(_137502, 335 ^ [_137500, _137502]) = _137500)]]], (341 ^ _127212) ^ [] : [-(sdtlseqdt0(_137502, _137500)), 342 ^ _127212 : [(343 ^ _127212) ^ [_138060] : [aNaturalNumber0(_138060), sdtpldt0(_137502, _138060) = _137500]]]]], (351 ^ _127212) ^ [_138343, _138345] : [aNaturalNumber0(_138345), aNaturalNumber0(_138343), sdtlseqdt0(_138345, _138343), 362 ^ _127212 : [(363 ^ _127212) ^ [_138690] : [_138690 = sdtmndt0(_138343, _138345), 366 ^ _127212 : [(367 ^ _127212) ^ [] : [-(aNaturalNumber0(_138690))], (369 ^ _127212) ^ [] : [-(sdtpldt0(_138345, _138690) = _138343)]]], (371 ^ _127212) ^ [_138949] : [-(_138949 = sdtmndt0(_138343, _138345)), aNaturalNumber0(_138949), sdtpldt0(_138345, _138949) = _138343]]], (381 ^ _127212) ^ [_139271] : [aNaturalNumber0(_139271), -(sdtlseqdt0(_139271, _139271))], (387 ^ _127212) ^ [_139473, _139475] : [aNaturalNumber0(_139475), aNaturalNumber0(_139473), -(_139475 = _139473), sdtlseqdt0(_139475, _139473), sdtlseqdt0(_139473, _139475)], (405 ^ _127212) ^ [_139962, _139964, _139966] : [aNaturalNumber0(_139966), aNaturalNumber0(_139964), aNaturalNumber0(_139962), -(sdtlseqdt0(_139966, _139962)), sdtlseqdt0(_139966, _139964), sdtlseqdt0(_139964, _139962)], (427 ^ _127212) ^ [_140548, _140550] : [aNaturalNumber0(_140550), aNaturalNumber0(_140548), -(sdtlseqdt0(_140550, _140548)), 438 ^ _127212 : [(439 ^ _127212) ^ [] : [_140548 = _140550], (441 ^ _127212) ^ [] : [-(sdtlseqdt0(_140548, _140550))]]], (443 ^ _127212) ^ [_141011, _141013] : [aNaturalNumber0(_141013), aNaturalNumber0(_141011), -(_141013 = _141011), sdtlseqdt0(_141013, _141011), 458 ^ _127212 : [(459 ^ _127212) ^ [_141455] : [aNaturalNumber0(_141455), 462 ^ _127212 : [(463 ^ _127212) ^ [] : [sdtpldt0(_141455, _141013) = sdtpldt0(_141455, _141011)], (465 ^ _127212) ^ [] : [-(sdtlseqdt0(sdtpldt0(_141455, _141013), sdtpldt0(_141455, _141011)))], (467 ^ _127212) ^ [] : [sdtpldt0(_141013, _141455) = sdtpldt0(_141011, _141455)], (469 ^ _127212) ^ [] : [-(sdtlseqdt0(sdtpldt0(_141013, _141455), sdtpldt0(_141011, _141455)))]]]]], (471 ^ _127212) ^ [_141979, _141981, _141983] : [aNaturalNumber0(_141983), aNaturalNumber0(_141981), aNaturalNumber0(_141979), 494 ^ _127212 : [(495 ^ _127212) ^ [] : [sdtasdt0(_141983, _141981) = sdtasdt0(_141983, _141979)], (497 ^ _127212) ^ [] : [-(sdtlseqdt0(sdtasdt0(_141983, _141981), sdtasdt0(_141983, _141979)))], (499 ^ _127212) ^ [] : [sdtasdt0(_141981, _141983) = sdtasdt0(_141979, _141983)], (501 ^ _127212) ^ [] : [-(sdtlseqdt0(sdtasdt0(_141981, _141983), sdtasdt0(_141979, _141983)))]], -(_141983 = sz00), -(_141981 = _141979), sdtlseqdt0(_141981, _141979)], (503 ^ _127212) ^ [_142929] : [aNaturalNumber0(_142929), -(_142929 = sz00), -(_142929 = sz10), 514 ^ _127212 : [(515 ^ _127212) ^ [] : [sz10 = _142929], (517 ^ _127212) ^ [] : [-(sdtlseqdt0(sz10, _142929))]]], (519 ^ _127212) ^ [_143377, _143379] : [aNaturalNumber0(_143379), aNaturalNumber0(_143377), -(_143379 = sz00), -(sdtlseqdt0(_143377, sdtasdt0(_143377, _143379)))], (533 ^ _127212) ^ [_143772, _143774] : [aNaturalNumber0(_143774), aNaturalNumber0(_143772), iLess0(_143774, _143772), true___, -(true___)], (551 ^ _127212) ^ [_144232, _144234] : [aNaturalNumber0(_144234), aNaturalNumber0(_144232), -(iLess0(_144234, _144232)), -(_144234 = _144232), sdtlseqdt0(_144234, _144232)], (569 ^ _127212) ^ [_144710, _144712] : [aNaturalNumber0(_144712), aNaturalNumber0(_144710), 576 ^ _127212 : [(577 ^ _127212) ^ [] : [doDivides0(_144712, _144710), 581 ^ _127212 : [(582 ^ _127212) ^ [] : [-(aNaturalNumber0(580 ^ [_144710, _144712]))], (584 ^ _127212) ^ [] : [-(_144710 = sdtasdt0(_144712, 580 ^ [_144710, _144712]))]]], (586 ^ _127212) ^ [] : [-(doDivides0(_144712, _144710)), 587 ^ _127212 : [(588 ^ _127212) ^ [_145270] : [aNaturalNumber0(_145270), _144710 = sdtasdt0(_144712, _145270)]]]]], (596 ^ _127212) ^ [_145553, _145555] : [aNaturalNumber0(_145555), aNaturalNumber0(_145553), -(_145555 = sz00), doDivides0(_145555, _145553), 611 ^ _127212 : [(612 ^ _127212) ^ [_145992] : [_145992 = sdtsldt0(_145553, _145555), 615 ^ _127212 : [(616 ^ _127212) ^ [] : [-(aNaturalNumber0(_145992))], (618 ^ _127212) ^ [] : [-(_145553 = sdtasdt0(_145555, _145992))]]], (620 ^ _127212) ^ [_146251] : [-(_146251 = sdtsldt0(_145553, _145555)), aNaturalNumber0(_146251), _145553 = sdtasdt0(_145555, _146251)]]], (630 ^ _127212) ^ [_146603, _146605, _146607] : [aNaturalNumber0(_146607), aNaturalNumber0(_146605), aNaturalNumber0(_146603), -(doDivides0(_146607, _146603)), doDivides0(_146607, _146605), doDivides0(_146605, _146603)], (652 ^ _127212) ^ [_147203, _147205, _147207] : [aNaturalNumber0(_147207), aNaturalNumber0(_147205), aNaturalNumber0(_147203), -(doDivides0(_147207, sdtpldt0(_147205, _147203))), doDivides0(_147207, _147205), doDivides0(_147207, _147203)], (674 ^ _127212) ^ [_147809, _147811, _147813] : [aNaturalNumber0(_147813), aNaturalNumber0(_147811), aNaturalNumber0(_147809), -(doDivides0(_147813, _147809)), doDivides0(_147813, _147811), doDivides0(_147813, sdtpldt0(_147811, _147809))], (696 ^ _127212) ^ [_148401, _148403] : [aNaturalNumber0(_148403), aNaturalNumber0(_148401), -(sdtlseqdt0(_148403, _148401)), doDivides0(_148403, _148401), -(_148401 = sz00)], (714 ^ _127212) ^ [_148879, _148881] : [aNaturalNumber0(_148881), aNaturalNumber0(_148879), -(_148881 = sz00), doDivides0(_148881, _148879), 729 ^ _127212 : [(730 ^ _127212) ^ [_149289] : [aNaturalNumber0(_149289), -(sdtasdt0(_149289, sdtsldt0(_148879, _148881)) = sdtsldt0(sdtasdt0(_149289, _148879), _148881))]]], (736 ^ _127212) ^ [_149530] : [aNaturalNumber0(_149530), 739 ^ _127212 : [(762 ^ _127212) ^ [] : [-(isPrime0(_149530)), -(_149530 = sz00), -(_149530 = sz10), 772 ^ _127212 : [(773 ^ _127212) ^ [] : [-(aNaturalNumber0(771 ^ [_149530]))], (775 ^ _127212) ^ [] : [-(doDivides0(771 ^ [_149530], _149530))], (777 ^ _127212) ^ [] : [771 ^ [_149530] = sz10], (779 ^ _127212) ^ [] : [771 ^ [_149530] = _149530]]], (740 ^ _127212) ^ [] : [isPrime0(_149530), 743 ^ _127212 : [(744 ^ _127212) ^ [] : [_149530 = sz00], (746 ^ _127212) ^ [] : [_149530 = sz10], (748 ^ _127212) ^ [_149922] : [aNaturalNumber0(_149922), doDivides0(_149922, _149530), -(_149922 = sz10), -(_149922 = _149530)]]]]], (783 ^ _127212) ^ [_150874] : [795 ^ _127212 : [(796 ^ _127212) ^ [] : [-(aNaturalNumber0(794 ^ [_150874]))], (798 ^ _127212) ^ [] : [-(doDivides0(794 ^ [_150874], _150874))], (800 ^ _127212) ^ [] : [-(isPrime0(794 ^ [_150874]))]], aNaturalNumber0(_150874), -(_150874 = sz00), -(_150874 = sz10)], (802 ^ _127212) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _127212) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _127212) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _127212) ^ [_151641, _151643, _151645] : [aNaturalNumber0(_151645), aNaturalNumber0(_151643), aNaturalNumber0(_151641), iLess0(sdtpldt0(sdtpldt0(_151645, _151643), _151641), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _127212 : [(863 ^ _127212) ^ [] : [-(aNaturalNumber0(861 ^ [_151641, _151643, _151645]))], (865 ^ _127212) ^ [] : [-(_151645 = sdtasdt0(_151641, 861 ^ [_151641, _151643, _151645]))], (867 ^ _127212) ^ [] : [-(doDivides0(_151641, _151645))]], 869 ^ _127212 : [(870 ^ _127212) ^ [] : [-(aNaturalNumber0(868 ^ [_151641, _151643, _151645]))], (872 ^ _127212) ^ [] : [-(_151643 = sdtasdt0(_151641, 868 ^ [_151641, _151643, _151645]))], (874 ^ _127212) ^ [] : [-(doDivides0(_151641, _151643))]], 847 ^ _127212 : [(854 ^ _127212) ^ [] : [doDivides0(_151641, sdtasdt0(_151645, _151643))], (848 ^ _127212) ^ [_153062] : [aNaturalNumber0(_153062), sdtasdt0(_151645, _151643) = sdtasdt0(_151641, _153062)]], 823 ^ _127212 : [(846 ^ _127212) ^ [] : [isPrime0(_151641)], (824 ^ _127212) ^ [] : [-(_151641 = sz00), -(_151641 = sz10), 832 ^ _127212 : [(833 ^ _127212) ^ [] : [-(aNaturalNumber0(831 ^ [_151641, _151643, _151645]))], (836 ^ _127212) ^ [] : [-(aNaturalNumber0(834 ^ [_151641, _151643, _151645]))], (838 ^ _127212) ^ [] : [-(_151641 = sdtasdt0(831 ^ [_151641, _151643, _151645], 834 ^ [_151641, _151643, _151645]))], (840 ^ _127212) ^ [] : [-(doDivides0(831 ^ [_151641, _151643, _151645], _151641))], (842 ^ _127212) ^ [] : [831 ^ [_151641, _151643, _151645] = sz10], (844 ^ _127212) ^ [] : [831 ^ [_151641, _151643, _151645] = _151641]]]]], (876 ^ _127212) ^ [] : [xp = sz00], (878 ^ _127212) ^ [] : [xp = sz10], (900 ^ _127212) ^ [] : [-(isPrime0(xp))], (903 ^ _127212) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _127212) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _127212) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _127212) ^ [_154152] : [-(_154152 = sz10), -(_154152 = xp), aNaturalNumber0(_154152), 885 ^ _127212 : [(892 ^ _127212) ^ [] : [doDivides0(_154152, xp)], (886 ^ _127212) ^ [_154355] : [aNaturalNumber0(_154355), xp = sdtasdt0(_154152, _154355)]]], (915 ^ _127212) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _127212) ^ [_155013] : [aNaturalNumber0(_155013), sdtpldt0(xp, _155013) = xn], (923 ^ _127212) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _127212) ^ [_155260] : [aNaturalNumber0(_155260), sdtpldt0(xp, _155260) = xm], (925 ^ _127212) ^ [] : [-(xn = xp), 930 ^ _127212 : [(937 ^ _127212) ^ [] : [sdtlseqdt0(xn, xp)], (931 ^ _127212) ^ [_155580] : [aNaturalNumber0(_155580), sdtpldt0(xn, _155580) = xp]], -(xm = xp), 942 ^ _127212 : [(949 ^ _127212) ^ [] : [sdtlseqdt0(xm, xp)], (943 ^ _127212) ^ [_155870] : [aNaturalNumber0(_155870), sdtpldt0(xm, _155870) = xp]]]], input).
% 2.92/3.45 ncf('1',plain,[sdtlseqdt0(xp, xn)],start(915 ^ 0)).
% 2.92/3.45 ncf('1.1',plain,[-(sdtlseqdt0(xp, xn)), aNaturalNumber0(xp), aNaturalNumber0(xn), 439 : xn = xp],extension(427 ^ 1,bind([[_140548, _140550], [xn, xp]]))).
% 2.92/3.45 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 2.92/3.45 ncf('1.1.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 2)).
% 2.92/3.45 ncf('1.1.3',plain,[-(xn = xp), 937 : sdtlseqdt0(xn, xp), 937 : -(xm = xp), 949 : sdtlseqdt0(xm, xp)],extension(925 ^ 4)).
% 2.92/3.45 ncf('1.1.3.1',plain,[-(sdtlseqdt0(xn, xp)), aNaturalNumber0(xn), aNaturalNumber0(xp), 441 : -(sdtlseqdt0(xp, xn))],extension(427 ^ 7,bind([[_140548, _140550], [xp, xn]]))).
% 2.92/3.45 ncf('1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],lemmata('[1].x')).
% 2.92/3.45 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 2.92/3.45 ncf('1.1.3.1.3',plain,[sdtlseqdt0(xp, xn)],reduction('1')).
% 2.92/3.45 ncf('1.1.3.2',plain,[xm = xp, aNaturalNumber0(xp), aNaturalNumber0(xm), -(sdtlseqdt0(xp, xm))],extension(427 ^ 5,bind([[_140548, _140550], [xm, xp]]))).
% 2.92/3.45 ncf('1.1.3.2.1',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 2.92/3.45 ncf('1.1.3.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 2.92/3.45 ncf('1.1.3.2.3',plain,[sdtlseqdt0(xp, xm)],extension(923 ^ 6)).
% 2.92/3.45 ncf('1.1.3.3',plain,[-(sdtlseqdt0(xm, xp)), aNaturalNumber0(xm), aNaturalNumber0(xp), 441 : -(sdtlseqdt0(xp, xm))],extension(427 ^ 7,bind([[_140548, _140550], [xp, xm]]))).
% 2.92/3.45 ncf('1.1.3.3.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 8)).
% 2.92/3.45 ncf('1.1.3.3.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 2.92/3.45 ncf('1.1.3.3.3',plain,[sdtlseqdt0(xp, xm)],extension(923 ^ 10)).
% 2.92/3.45 %-----------------------------------------------------
% 2.92/3.45 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------