TSTP Solution File: NUM519+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM519+3 : 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 11:44:51 EDT 2023
% Result : Theorem 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM519+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % 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 17:01:20 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(1045 ^ _139376) ^ [_171492] : [aNaturalNumber0(_171492), xn = sdtasdt0(xp, _171492)], (1051 ^ _139376) ^ [] : [doDivides0(xp, xn)], (1059 ^ _139376) ^ [] : [doDivides0(xp, xm)], (1053 ^ _139376) ^ [_171737] : [aNaturalNumber0(_171737), xm = sdtasdt0(xp, _171737)], (82 ^ _139376) ^ [_142088, _142090, _142092, _142094] : [-(sdtmndt0(_142094, _142090) = sdtmndt0(_142092, _142088)), _142094 = _142092, _142090 = _142088], (92 ^ _139376) ^ [_142447, _142449, _142451, _142453] : [-(sdtsldt0(_142453, _142449) = sdtsldt0(_142451, _142447)), _142453 = _142451, _142449 = _142447], (102 ^ _139376) ^ [_142806, _142808, _142810, _142812] : [-(sdtpldt0(_142812, _142808) = sdtpldt0(_142810, _142806)), _142812 = _142810, _142808 = _142806], (112 ^ _139376) ^ [_143145, _143147, _143149, _143151] : [-(sdtasdt0(_143151, _143147) = sdtasdt0(_143149, _143145)), _143151 = _143149, _143147 = _143145], (2 ^ _139376) ^ [_139520] : [-(_139520 = _139520)], (4 ^ _139376) ^ [_139627, _139629] : [_139629 = _139627, -(_139627 = _139629)], (10 ^ _139376) ^ [_139831, _139833, _139835] : [-(_139835 = _139831), _139835 = _139833, _139833 = _139831], (20 ^ _139376) ^ [_140172, _140174, _140176, _140178] : [-(iLess0(_140176, _140172)), iLess0(_140178, _140174), _140178 = _140176, _140174 = _140172], (34 ^ _139376) ^ [_140588, _140590] : [-(isPrime0(_140588)), _140590 = _140588, isPrime0(_140590)], (44 ^ _139376) ^ [_140911, _140913, _140915, _140917] : [-(sdtlseqdt0(_140915, _140911)), sdtlseqdt0(_140917, _140913), _140917 = _140915, _140913 = _140911], (58 ^ _139376) ^ [_141327, _141329] : [-(aNaturalNumber0(_141327)), _141329 = _141327, aNaturalNumber0(_141329)], (68 ^ _139376) ^ [_141630, _141632, _141634, _141636] : [-(doDivides0(_141634, _141630)), doDivides0(_141636, _141632), _141636 = _141634, _141632 = _141630], (122 ^ _139376) ^ [_143476] : [aNaturalNumber0(_143476), true___, -(true___)], (132 ^ _139376) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _139376) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _139376) ^ [] : [sz10 = sz00], (138 ^ _139376) ^ [_143905, _143907] : [-(aNaturalNumber0(sdtpldt0(_143907, _143905))), aNaturalNumber0(_143907), aNaturalNumber0(_143905)], (148 ^ _139376) ^ [_144204, _144206] : [-(aNaturalNumber0(sdtasdt0(_144206, _144204))), aNaturalNumber0(_144206), aNaturalNumber0(_144204)], (158 ^ _139376) ^ [_144503, _144505] : [-(sdtpldt0(_144505, _144503) = sdtpldt0(_144503, _144505)), aNaturalNumber0(_144505), aNaturalNumber0(_144503)], (168 ^ _139376) ^ [_144824, _144826, _144828] : [-(sdtpldt0(sdtpldt0(_144828, _144826), _144824) = sdtpldt0(_144828, sdtpldt0(_144826, _144824))), aNaturalNumber0(_144828), aNaturalNumber0(_144826), aNaturalNumber0(_144824)], (182 ^ _139376) ^ [_145230] : [aNaturalNumber0(_145230), 185 ^ _139376 : [(186 ^ _139376) ^ [] : [-(sdtpldt0(_145230, sz00) = _145230)], (188 ^ _139376) ^ [] : [-(_145230 = sdtpldt0(sz00, _145230))]]], (190 ^ _139376) ^ [_145517, _145519] : [-(sdtasdt0(_145519, _145517) = sdtasdt0(_145517, _145519)), aNaturalNumber0(_145519), aNaturalNumber0(_145517)], (200 ^ _139376) ^ [_145838, _145840, _145842] : [-(sdtasdt0(sdtasdt0(_145842, _145840), _145838) = sdtasdt0(_145842, sdtasdt0(_145840, _145838))), aNaturalNumber0(_145842), aNaturalNumber0(_145840), aNaturalNumber0(_145838)], (214 ^ _139376) ^ [_146244] : [aNaturalNumber0(_146244), 217 ^ _139376 : [(218 ^ _139376) ^ [] : [-(sdtasdt0(_146244, sz10) = _146244)], (220 ^ _139376) ^ [] : [-(_146244 = sdtasdt0(sz10, _146244))]]], (222 ^ _139376) ^ [_146517] : [aNaturalNumber0(_146517), 225 ^ _139376 : [(226 ^ _139376) ^ [] : [-(sdtasdt0(_146517, sz00) = sz00)], (228 ^ _139376) ^ [] : [-(sz00 = sdtasdt0(sz00, _146517))]]], (230 ^ _139376) ^ [_146818, _146820, _146822] : [241 ^ _139376 : [(242 ^ _139376) ^ [] : [-(sdtasdt0(_146822, sdtpldt0(_146820, _146818)) = sdtpldt0(sdtasdt0(_146822, _146820), sdtasdt0(_146822, _146818)))], (244 ^ _139376) ^ [] : [-(sdtasdt0(sdtpldt0(_146820, _146818), _146822) = sdtpldt0(sdtasdt0(_146820, _146822), sdtasdt0(_146818, _146822)))]], aNaturalNumber0(_146822), aNaturalNumber0(_146820), aNaturalNumber0(_146818)], (246 ^ _139376) ^ [_147365, _147367, _147369] : [259 ^ _139376 : [(260 ^ _139376) ^ [] : [sdtpldt0(_147369, _147367) = sdtpldt0(_147369, _147365)], (262 ^ _139376) ^ [] : [sdtpldt0(_147367, _147369) = sdtpldt0(_147365, _147369)]], -(_147367 = _147365), aNaturalNumber0(_147369), aNaturalNumber0(_147367), aNaturalNumber0(_147365)], (266 ^ _139376) ^ [_147942] : [aNaturalNumber0(_147942), -(_147942 = sz00), 273 ^ _139376 : [(274 ^ _139376) ^ [_148204, _148206] : [aNaturalNumber0(_148206), aNaturalNumber0(_148204), 283 ^ _139376 : [(284 ^ _139376) ^ [] : [sdtasdt0(_147942, _148206) = sdtasdt0(_147942, _148204)], (286 ^ _139376) ^ [] : [sdtasdt0(_148206, _147942) = sdtasdt0(_148204, _147942)]], -(_148206 = _148204)]]], (290 ^ _139376) ^ [_148715, _148717] : [aNaturalNumber0(_148717), aNaturalNumber0(_148715), sdtpldt0(_148717, _148715) = sz00, 301 ^ _139376 : [(302 ^ _139376) ^ [] : [-(_148717 = sz00)], (304 ^ _139376) ^ [] : [-(_148715 = sz00)]]], (306 ^ _139376) ^ [_149182, _149184] : [aNaturalNumber0(_149184), aNaturalNumber0(_149182), sdtasdt0(_149184, _149182) = sz00, -(_149184 = sz00), -(_149182 = sz00)], (324 ^ _139376) ^ [_149664, _149666] : [aNaturalNumber0(_149666), aNaturalNumber0(_149664), 331 ^ _139376 : [(332 ^ _139376) ^ [] : [sdtlseqdt0(_149666, _149664), 336 ^ _139376 : [(337 ^ _139376) ^ [] : [-(aNaturalNumber0(335 ^ [_149664, _149666]))], (339 ^ _139376) ^ [] : [-(sdtpldt0(_149666, 335 ^ [_149664, _149666]) = _149664)]]], (341 ^ _139376) ^ [] : [-(sdtlseqdt0(_149666, _149664)), 342 ^ _139376 : [(343 ^ _139376) ^ [_150224] : [aNaturalNumber0(_150224), sdtpldt0(_149666, _150224) = _149664]]]]], (351 ^ _139376) ^ [_150507, _150509] : [aNaturalNumber0(_150509), aNaturalNumber0(_150507), sdtlseqdt0(_150509, _150507), 362 ^ _139376 : [(363 ^ _139376) ^ [_150854] : [_150854 = sdtmndt0(_150507, _150509), 366 ^ _139376 : [(367 ^ _139376) ^ [] : [-(aNaturalNumber0(_150854))], (369 ^ _139376) ^ [] : [-(sdtpldt0(_150509, _150854) = _150507)]]], (371 ^ _139376) ^ [_151113] : [-(_151113 = sdtmndt0(_150507, _150509)), aNaturalNumber0(_151113), sdtpldt0(_150509, _151113) = _150507]]], (381 ^ _139376) ^ [_151435] : [aNaturalNumber0(_151435), -(sdtlseqdt0(_151435, _151435))], (387 ^ _139376) ^ [_151637, _151639] : [aNaturalNumber0(_151639), aNaturalNumber0(_151637), -(_151639 = _151637), sdtlseqdt0(_151639, _151637), sdtlseqdt0(_151637, _151639)], (405 ^ _139376) ^ [_152126, _152128, _152130] : [aNaturalNumber0(_152130), aNaturalNumber0(_152128), aNaturalNumber0(_152126), -(sdtlseqdt0(_152130, _152126)), sdtlseqdt0(_152130, _152128), sdtlseqdt0(_152128, _152126)], (427 ^ _139376) ^ [_152712, _152714] : [aNaturalNumber0(_152714), aNaturalNumber0(_152712), -(sdtlseqdt0(_152714, _152712)), 438 ^ _139376 : [(439 ^ _139376) ^ [] : [_152712 = _152714], (441 ^ _139376) ^ [] : [-(sdtlseqdt0(_152712, _152714))]]], (443 ^ _139376) ^ [_153175, _153177] : [aNaturalNumber0(_153177), aNaturalNumber0(_153175), -(_153177 = _153175), sdtlseqdt0(_153177, _153175), 458 ^ _139376 : [(459 ^ _139376) ^ [_153619] : [aNaturalNumber0(_153619), 462 ^ _139376 : [(463 ^ _139376) ^ [] : [sdtpldt0(_153619, _153177) = sdtpldt0(_153619, _153175)], (465 ^ _139376) ^ [] : [-(sdtlseqdt0(sdtpldt0(_153619, _153177), sdtpldt0(_153619, _153175)))], (467 ^ _139376) ^ [] : [sdtpldt0(_153177, _153619) = sdtpldt0(_153175, _153619)], (469 ^ _139376) ^ [] : [-(sdtlseqdt0(sdtpldt0(_153177, _153619), sdtpldt0(_153175, _153619)))]]]]], (471 ^ _139376) ^ [_154143, _154145, _154147] : [aNaturalNumber0(_154147), aNaturalNumber0(_154145), aNaturalNumber0(_154143), 494 ^ _139376 : [(495 ^ _139376) ^ [] : [sdtasdt0(_154147, _154145) = sdtasdt0(_154147, _154143)], (497 ^ _139376) ^ [] : [-(sdtlseqdt0(sdtasdt0(_154147, _154145), sdtasdt0(_154147, _154143)))], (499 ^ _139376) ^ [] : [sdtasdt0(_154145, _154147) = sdtasdt0(_154143, _154147)], (501 ^ _139376) ^ [] : [-(sdtlseqdt0(sdtasdt0(_154145, _154147), sdtasdt0(_154143, _154147)))]], -(_154147 = sz00), -(_154145 = _154143), sdtlseqdt0(_154145, _154143)], (503 ^ _139376) ^ [_155093] : [aNaturalNumber0(_155093), -(_155093 = sz00), -(_155093 = sz10), 514 ^ _139376 : [(515 ^ _139376) ^ [] : [sz10 = _155093], (517 ^ _139376) ^ [] : [-(sdtlseqdt0(sz10, _155093))]]], (519 ^ _139376) ^ [_155541, _155543] : [aNaturalNumber0(_155543), aNaturalNumber0(_155541), -(_155543 = sz00), -(sdtlseqdt0(_155541, sdtasdt0(_155541, _155543)))], (533 ^ _139376) ^ [_155936, _155938] : [aNaturalNumber0(_155938), aNaturalNumber0(_155936), iLess0(_155938, _155936), true___, -(true___)], (551 ^ _139376) ^ [_156396, _156398] : [aNaturalNumber0(_156398), aNaturalNumber0(_156396), -(iLess0(_156398, _156396)), -(_156398 = _156396), sdtlseqdt0(_156398, _156396)], (569 ^ _139376) ^ [_156874, _156876] : [aNaturalNumber0(_156876), aNaturalNumber0(_156874), 576 ^ _139376 : [(577 ^ _139376) ^ [] : [doDivides0(_156876, _156874), 581 ^ _139376 : [(582 ^ _139376) ^ [] : [-(aNaturalNumber0(580 ^ [_156874, _156876]))], (584 ^ _139376) ^ [] : [-(_156874 = sdtasdt0(_156876, 580 ^ [_156874, _156876]))]]], (586 ^ _139376) ^ [] : [-(doDivides0(_156876, _156874)), 587 ^ _139376 : [(588 ^ _139376) ^ [_157434] : [aNaturalNumber0(_157434), _156874 = sdtasdt0(_156876, _157434)]]]]], (596 ^ _139376) ^ [_157717, _157719] : [aNaturalNumber0(_157719), aNaturalNumber0(_157717), -(_157719 = sz00), doDivides0(_157719, _157717), 611 ^ _139376 : [(612 ^ _139376) ^ [_158156] : [_158156 = sdtsldt0(_157717, _157719), 615 ^ _139376 : [(616 ^ _139376) ^ [] : [-(aNaturalNumber0(_158156))], (618 ^ _139376) ^ [] : [-(_157717 = sdtasdt0(_157719, _158156))]]], (620 ^ _139376) ^ [_158415] : [-(_158415 = sdtsldt0(_157717, _157719)), aNaturalNumber0(_158415), _157717 = sdtasdt0(_157719, _158415)]]], (630 ^ _139376) ^ [_158767, _158769, _158771] : [aNaturalNumber0(_158771), aNaturalNumber0(_158769), aNaturalNumber0(_158767), -(doDivides0(_158771, _158767)), doDivides0(_158771, _158769), doDivides0(_158769, _158767)], (652 ^ _139376) ^ [_159367, _159369, _159371] : [aNaturalNumber0(_159371), aNaturalNumber0(_159369), aNaturalNumber0(_159367), -(doDivides0(_159371, sdtpldt0(_159369, _159367))), doDivides0(_159371, _159369), doDivides0(_159371, _159367)], (674 ^ _139376) ^ [_159973, _159975, _159977] : [aNaturalNumber0(_159977), aNaturalNumber0(_159975), aNaturalNumber0(_159973), -(doDivides0(_159977, _159973)), doDivides0(_159977, _159975), doDivides0(_159977, sdtpldt0(_159975, _159973))], (696 ^ _139376) ^ [_160565, _160567] : [aNaturalNumber0(_160567), aNaturalNumber0(_160565), -(sdtlseqdt0(_160567, _160565)), doDivides0(_160567, _160565), -(_160565 = sz00)], (714 ^ _139376) ^ [_161043, _161045] : [aNaturalNumber0(_161045), aNaturalNumber0(_161043), -(_161045 = sz00), doDivides0(_161045, _161043), 729 ^ _139376 : [(730 ^ _139376) ^ [_161453] : [aNaturalNumber0(_161453), -(sdtasdt0(_161453, sdtsldt0(_161043, _161045)) = sdtsldt0(sdtasdt0(_161453, _161043), _161045))]]], (736 ^ _139376) ^ [_161694] : [aNaturalNumber0(_161694), 739 ^ _139376 : [(762 ^ _139376) ^ [] : [-(isPrime0(_161694)), -(_161694 = sz00), -(_161694 = sz10), 772 ^ _139376 : [(773 ^ _139376) ^ [] : [-(aNaturalNumber0(771 ^ [_161694]))], (775 ^ _139376) ^ [] : [-(doDivides0(771 ^ [_161694], _161694))], (777 ^ _139376) ^ [] : [771 ^ [_161694] = sz10], (779 ^ _139376) ^ [] : [771 ^ [_161694] = _161694]]], (740 ^ _139376) ^ [] : [isPrime0(_161694), 743 ^ _139376 : [(744 ^ _139376) ^ [] : [_161694 = sz00], (746 ^ _139376) ^ [] : [_161694 = sz10], (748 ^ _139376) ^ [_162086] : [aNaturalNumber0(_162086), doDivides0(_162086, _161694), -(_162086 = sz10), -(_162086 = _161694)]]]]], (783 ^ _139376) ^ [_163038] : [795 ^ _139376 : [(796 ^ _139376) ^ [] : [-(aNaturalNumber0(794 ^ [_163038]))], (798 ^ _139376) ^ [] : [-(doDivides0(794 ^ [_163038], _163038))], (800 ^ _139376) ^ [] : [-(isPrime0(794 ^ [_163038]))]], aNaturalNumber0(_163038), -(_163038 = sz00), -(_163038 = sz10)], (802 ^ _139376) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _139376) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _139376) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _139376) ^ [_163805, _163807, _163809] : [aNaturalNumber0(_163809), aNaturalNumber0(_163807), aNaturalNumber0(_163805), iLess0(sdtpldt0(sdtpldt0(_163809, _163807), _163805), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _139376 : [(863 ^ _139376) ^ [] : [-(aNaturalNumber0(861 ^ [_163805, _163807, _163809]))], (865 ^ _139376) ^ [] : [-(_163809 = sdtasdt0(_163805, 861 ^ [_163805, _163807, _163809]))], (867 ^ _139376) ^ [] : [-(doDivides0(_163805, _163809))]], 869 ^ _139376 : [(870 ^ _139376) ^ [] : [-(aNaturalNumber0(868 ^ [_163805, _163807, _163809]))], (872 ^ _139376) ^ [] : [-(_163807 = sdtasdt0(_163805, 868 ^ [_163805, _163807, _163809]))], (874 ^ _139376) ^ [] : [-(doDivides0(_163805, _163807))]], 847 ^ _139376 : [(854 ^ _139376) ^ [] : [doDivides0(_163805, sdtasdt0(_163809, _163807))], (848 ^ _139376) ^ [_165226] : [aNaturalNumber0(_165226), sdtasdt0(_163809, _163807) = sdtasdt0(_163805, _165226)]], 823 ^ _139376 : [(846 ^ _139376) ^ [] : [isPrime0(_163805)], (824 ^ _139376) ^ [] : [-(_163805 = sz00), -(_163805 = sz10), 832 ^ _139376 : [(833 ^ _139376) ^ [] : [-(aNaturalNumber0(831 ^ [_163805, _163807, _163809]))], (836 ^ _139376) ^ [] : [-(aNaturalNumber0(834 ^ [_163805, _163807, _163809]))], (838 ^ _139376) ^ [] : [-(_163805 = sdtasdt0(831 ^ [_163805, _163807, _163809], 834 ^ [_163805, _163807, _163809]))], (840 ^ _139376) ^ [] : [-(doDivides0(831 ^ [_163805, _163807, _163809], _163805))], (842 ^ _139376) ^ [] : [831 ^ [_163805, _163807, _163809] = sz10], (844 ^ _139376) ^ [] : [831 ^ [_163805, _163807, _163809] = _163805]]]]], (876 ^ _139376) ^ [] : [xp = sz00], (878 ^ _139376) ^ [] : [xp = sz10], (900 ^ _139376) ^ [] : [-(isPrime0(xp))], (903 ^ _139376) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _139376) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _139376) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _139376) ^ [_166316] : [-(_166316 = sz10), -(_166316 = xp), aNaturalNumber0(_166316), 885 ^ _139376 : [(892 ^ _139376) ^ [] : [doDivides0(_166316, xp)], (886 ^ _139376) ^ [_166519] : [aNaturalNumber0(_166519), xp = sdtasdt0(_166316, _166519)]]], (915 ^ _139376) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _139376) ^ [_167177] : [aNaturalNumber0(_167177), sdtpldt0(xp, _167177) = xn], (923 ^ _139376) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _139376) ^ [_167424] : [aNaturalNumber0(_167424), sdtpldt0(xp, _167424) = xm], (925 ^ _139376) ^ [] : [xn = xp], (928 ^ _139376) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _139376) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _139376) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _139376) ^ [] : [xm = xp], (937 ^ _139376) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _139376) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _139376) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _139376) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _139376) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _139376) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _139376) ^ [] : [xk = sz00], (951 ^ _139376) ^ [] : [xk = sz10], (953 ^ _139376) ^ [] : [xk = sz00], (955 ^ _139376) ^ [] : [xk = sz10], (957 ^ _139376) ^ [] : [-(aNaturalNumber0(xr))], (960 ^ _139376) ^ [] : [-(aNaturalNumber0(958 ^ []))], (962 ^ _139376) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (964 ^ _139376) ^ [] : [-(doDivides0(xr, xk))], (966 ^ _139376) ^ [] : [xr = sz00], (968 ^ _139376) ^ [] : [xr = sz10], (990 ^ _139376) ^ [] : [-(isPrime0(xr))], (970 ^ _139376) ^ [_168939] : [-(_168939 = sz10), -(_168939 = xr), aNaturalNumber0(_168939), 975 ^ _139376 : [(982 ^ _139376) ^ [] : [doDivides0(_168939, xr)], (976 ^ _139376) ^ [_169142] : [aNaturalNumber0(_169142), xr = sdtasdt0(_168939, _169142)]]], (993 ^ _139376) ^ [] : [-(aNaturalNumber0(991 ^ []))], (995 ^ _139376) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (998 ^ _139376) ^ [] : [-(aNaturalNumber0(996 ^ []))], (1000 ^ _139376) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1002 ^ _139376) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (1004 ^ _139376) ^ [] : [xk = xp], (1007 ^ _139376) ^ [] : [-(aNaturalNumber0(1005 ^ []))], (1009 ^ _139376) ^ [] : [-(sdtpldt0(xk, 1005 ^ []) = xp)], (1011 ^ _139376) ^ [] : [-(sdtlseqdt0(xk, xp))], (1013 ^ _139376) ^ [] : [1015 ^ _139376 : [(1016 ^ _139376) ^ [] : [-(aNaturalNumber0(1014 ^ []))], (1018 ^ _139376) ^ [] : [-(xn = sdtasdt0(xr, 1014 ^ []))], (1020 ^ _139376) ^ [] : [-(doDivides0(xr, xn))]], 1022 ^ _139376 : [(1023 ^ _139376) ^ [] : [-(aNaturalNumber0(1021 ^ []))], (1025 ^ _139376) ^ [] : [-(xm = sdtasdt0(xr, 1021 ^ []))], (1027 ^ _139376) ^ [] : [-(doDivides0(xr, xm))]]], (1035 ^ _139376) ^ [] : [doDivides0(xr, xn)], (1029 ^ _139376) ^ [_170657] : [aNaturalNumber0(_170657), xn = sdtasdt0(xr, _170657)], (1043 ^ _139376) ^ [] : [doDivides0(xr, xm)], (1037 ^ _139376) ^ [_170884] : [aNaturalNumber0(_170884), xm = sdtasdt0(xr, _170884)]], input).
% 0.36/1.37 ncf('1',plain,[doDivides0(xr, xn)],start(1035 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(doDivides0(xr, xn)), 1027 : -(doDivides0(xr, xm))],extension(1013 ^ 1)).
% 0.36/1.37 ncf('1.1.1',plain,[doDivides0(xr, xm)],extension(1043 ^ 4)).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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