TSTP Solution File: NUM494+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 43.19s 42.70s
% Output : Proof 43.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 17:51:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.19/42.70
% 43.19/42.70 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.19/42.70 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.19/42.70 %-----------------------------------------------------
% 43.19/42.70 ncf(matrix, plain, [(938 ^ _169052) ^ [] : [-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), 941 ^ _169052 : [(942 ^ _169052) ^ [_169194] : [aNaturalNumber0(_169194), sdtpldt0(sdtpldt0(sdtpldt0(xr, xm), xp), _169194) = sdtpldt0(sdtpldt0(xn, xm), xp)], (948 ^ _169052) ^ [] : [sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))]]], !, (200 ^ _140181) ^ [_146623, _146625, _146627] : [-(sdtasdt0(sdtasdt0(_146627, _146625), _146623) = sdtasdt0(_146627, sdtasdt0(_146625, _146623))), aNaturalNumber0(_146627), aNaturalNumber0(_146625), aNaturalNumber0(_146623)], (2 ^ _140181) ^ [_140305] : [-(_140305 = _140305)], (351 ^ _140181) ^ [_151292, _151294] : [aNaturalNumber0(_151294), aNaturalNumber0(_151292), sdtlseqdt0(_151294, _151292), 362 ^ _140181 : [(371 ^ _140181) ^ [_151898] : [-(_151898 = sdtmndt0(_151292, _151294)), aNaturalNumber0(_151898), sdtpldt0(_151294, _151898) = _151292], (363 ^ _140181) ^ [_151639] : [_151639 = sdtmndt0(_151292, _151294), 366 ^ _140181 : [(369 ^ _140181) ^ [] : [-(sdtpldt0(_151294, _151639) = _151292)], (367 ^ _140181) ^ [] : [-(aNaturalNumber0(_151639))]]]]], (551 ^ _140181) ^ [_157181, _157183] : [aNaturalNumber0(_157183), aNaturalNumber0(_157181), -(iLess0(_157183, _157181)), -(_157183 = _157181), sdtlseqdt0(_157183, _157181)], (910 ^ _140181) ^ [] : [-(aNaturalNumber0(908 ^ []))], (405 ^ _140181) ^ [_152911, _152913, _152915] : [aNaturalNumber0(_152915), aNaturalNumber0(_152913), aNaturalNumber0(_152911), -(sdtlseqdt0(_152915, _152911)), sdtlseqdt0(_152915, _152913), sdtlseqdt0(_152913, _152911)], (427 ^ _140181) ^ [_153497, _153499] : [aNaturalNumber0(_153499), aNaturalNumber0(_153497), -(sdtlseqdt0(_153499, _153497)), 438 ^ _140181 : [(441 ^ _140181) ^ [] : [-(sdtlseqdt0(_153497, _153499))], (439 ^ _140181) ^ [] : [_153497 = _153499]]], (443 ^ _140181) ^ [_153960, _153962] : [aNaturalNumber0(_153962), aNaturalNumber0(_153960), -(_153962 = _153960), sdtlseqdt0(_153962, _153960), 458 ^ _140181 : [(459 ^ _140181) ^ [_154404] : [aNaturalNumber0(_154404), 462 ^ _140181 : [(465 ^ _140181) ^ [] : [-(sdtlseqdt0(sdtpldt0(_154404, _153962), sdtpldt0(_154404, _153960)))], (467 ^ _140181) ^ [] : [sdtpldt0(_153962, _154404) = sdtpldt0(_153960, _154404)], (469 ^ _140181) ^ [] : [-(sdtlseqdt0(sdtpldt0(_153962, _154404), sdtpldt0(_153960, _154404)))], (463 ^ _140181) ^ [] : [sdtpldt0(_154404, _153962) = sdtpldt0(_154404, _153960)]]]]], (804 ^ _140181) ^ [] : [-(aNaturalNumber0(xm))], (471 ^ _140181) ^ [_154928, _154930, _154932] : [aNaturalNumber0(_154932), aNaturalNumber0(_154930), aNaturalNumber0(_154928), 494 ^ _140181 : [(497 ^ _140181) ^ [] : [-(sdtlseqdt0(sdtasdt0(_154932, _154930), sdtasdt0(_154932, _154928)))], (499 ^ _140181) ^ [] : [sdtasdt0(_154930, _154932) = sdtasdt0(_154928, _154932)], (501 ^ _140181) ^ [] : [-(sdtlseqdt0(sdtasdt0(_154930, _154932), sdtasdt0(_154928, _154932)))], (495 ^ _140181) ^ [] : [sdtasdt0(_154932, _154930) = sdtasdt0(_154932, _154928)]], -(_154932 = sz00), -(_154930 = _154928), sdtlseqdt0(_154930, _154928)], (674 ^ _140181) ^ [_160758, _160760, _160762] : [aNaturalNumber0(_160762), aNaturalNumber0(_160760), aNaturalNumber0(_160758), -(doDivides0(_160762, _160758)), doDivides0(_160762, _160760), doDivides0(_160762, sdtpldt0(_160760, _160758))], (736 ^ _140181) ^ [_162479] : [aNaturalNumber0(_162479), 739 ^ _140181 : [(740 ^ _140181) ^ [] : [isPrime0(_162479), 743 ^ _140181 : [(748 ^ _140181) ^ [_162871] : [aNaturalNumber0(_162871), doDivides0(_162871, _162479), -(_162871 = sz10), -(_162871 = _162479)], (746 ^ _140181) ^ [] : [_162479 = sz10], (744 ^ _140181) ^ [] : [_162479 = sz00]]], (762 ^ _140181) ^ [] : [-(isPrime0(_162479)), -(_162479 = sz00), -(_162479 = sz10), 772 ^ _140181 : [(775 ^ _140181) ^ [] : [-(doDivides0(771 ^ [_162479], _162479))], (777 ^ _140181) ^ [] : [771 ^ [_162479] = sz10], (779 ^ _140181) ^ [] : [771 ^ [_162479] = _162479], (773 ^ _140181) ^ [] : [-(aNaturalNumber0(771 ^ [_162479]))]]]]], (168 ^ _140181) ^ [_145609, _145611, _145613] : [-(sdtpldt0(sdtpldt0(_145613, _145611), _145609) = sdtpldt0(_145613, sdtpldt0(_145611, _145609))), aNaturalNumber0(_145613), aNaturalNumber0(_145611), aNaturalNumber0(_145609)], (569 ^ _140181) ^ [_157659, _157661] : [aNaturalNumber0(_157661), aNaturalNumber0(_157659), 576 ^ _140181 : [(586 ^ _140181) ^ [] : [-(doDivides0(_157661, _157659)), 587 ^ _140181 : [(588 ^ _140181) ^ [_158219] : [aNaturalNumber0(_158219), _157659 = sdtasdt0(_157661, _158219)]]], (577 ^ _140181) ^ [] : [doDivides0(_157661, _157659), 581 ^ _140181 : [(584 ^ _140181) ^ [] : [-(_157659 = sdtasdt0(_157661, 580 ^ [_157659, _157661]))], (582 ^ _140181) ^ [] : [-(aNaturalNumber0(580 ^ [_157659, _157661]))]]]]], (230 ^ _140181) ^ [_147603, _147605, _147607] : [241 ^ _140181 : [(244 ^ _140181) ^ [] : [-(sdtasdt0(sdtpldt0(_147605, _147603), _147607) = sdtpldt0(sdtasdt0(_147605, _147607), sdtasdt0(_147603, _147607)))], (242 ^ _140181) ^ [] : [-(sdtasdt0(_147607, sdtpldt0(_147605, _147603)) = sdtpldt0(sdtasdt0(_147607, _147605), sdtasdt0(_147607, _147603)))]], aNaturalNumber0(_147607), aNaturalNumber0(_147605), aNaturalNumber0(_147603)], (190 ^ _140181) ^ [_146302, _146304] : [-(sdtasdt0(_146304, _146302) = sdtasdt0(_146302, _146304)), aNaturalNumber0(_146304), aNaturalNumber0(_146302)], (58 ^ _140181) ^ [_142112, _142114] : [-(aNaturalNumber0(_142112)), _142114 = _142112, aNaturalNumber0(_142114)], (122 ^ _140181) ^ [_144261] : [aNaturalNumber0(_144261), true___, -(true___)], (907 ^ _140181) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (905 ^ _140181) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (132 ^ _140181) ^ [] : [-(aNaturalNumber0(sz00))], (387 ^ _140181) ^ [_152422, _152424] : [aNaturalNumber0(_152424), aNaturalNumber0(_152422), -(_152424 = _152422), sdtlseqdt0(_152424, _152422), sdtlseqdt0(_152422, _152424)], (916 ^ _140181) ^ [] : [-(aNaturalNumber0(xr))], (158 ^ _140181) ^ [_145288, _145290] : [-(sdtpldt0(_145290, _145288) = sdtpldt0(_145288, _145290)), aNaturalNumber0(_145290), aNaturalNumber0(_145288)], (932 ^ _140181) ^ [] : [-(aNaturalNumber0(930 ^ []))], (927 ^ _140181) ^ [] : [-(sdtpldt0(xr, 923 ^ []) = xn)], (652 ^ _140181) ^ [_160152, _160154, _160156] : [aNaturalNumber0(_160156), aNaturalNumber0(_160154), aNaturalNumber0(_160152), -(doDivides0(_160156, sdtpldt0(_160154, _160152))), doDivides0(_160156, _160154), doDivides0(_160156, _160152)], (34 ^ _140181) ^ [_141373, _141375] : [-(isPrime0(_141373)), _141375 = _141373, isPrime0(_141375)], (630 ^ _140181) ^ [_159552, _159554, _159556] : [aNaturalNumber0(_159556), aNaturalNumber0(_159554), aNaturalNumber0(_159552), -(doDivides0(_159556, _159552)), doDivides0(_159556, _159554), doDivides0(_159554, _159552)], (802 ^ _140181) ^ [] : [-(aNaturalNumber0(xn))], (920 ^ _140181) ^ [] : [-(xr = sdtmndt0(xn, xp))], (878 ^ _140181) ^ [] : [xp = sz10], (900 ^ _140181) ^ [] : [-(isPrime0(xp))], (934 ^ _140181) ^ [] : [-(sdtasdt0(xr, xm) = sdtasdt0(xp, 930 ^ []))], (306 ^ _140181) ^ [_149967, _149969] : [aNaturalNumber0(_149969), aNaturalNumber0(_149967), sdtasdt0(_149969, _149967) = sz00, -(_149969 = sz00), -(_149967 = sz00)], (4 ^ _140181) ^ [_140412, _140414] : [_140414 = _140412, -(_140412 = _140414)], (922 ^ _140181) ^ [] : [xr = xn], (138 ^ _140181) ^ [_144690, _144692] : [-(aNaturalNumber0(sdtpldt0(_144692, _144690))), aNaturalNumber0(_144692), aNaturalNumber0(_144690)], (148 ^ _140181) ^ [_144989, _144991] : [-(aNaturalNumber0(sdtasdt0(_144991, _144989))), aNaturalNumber0(_144991), aNaturalNumber0(_144989)], (10 ^ _140181) ^ [_140616, _140618, _140620] : [-(_140620 = _140616), _140620 = _140618, _140618 = _140616], (134 ^ _140181) ^ [] : [-(aNaturalNumber0(sz10))], (519 ^ _140181) ^ [_156326, _156328] : [aNaturalNumber0(_156328), aNaturalNumber0(_156326), -(_156328 = sz00), -(sdtlseqdt0(_156326, sdtasdt0(_156326, _156328)))], (880 ^ _140181) ^ [_167101] : [-(_167101 = sz10), -(_167101 = xp), aNaturalNumber0(_167101), 885 ^ _140181 : [(886 ^ _140181) ^ [_167304] : [aNaturalNumber0(_167304), xp = sdtasdt0(_167101, _167304)], (892 ^ _140181) ^ [] : [doDivides0(_167101, xp)]]], (918 ^ _140181) ^ [] : [-(sdtpldt0(xp, xr) = xn)], (596 ^ _140181) ^ [_158502, _158504] : [aNaturalNumber0(_158504), aNaturalNumber0(_158502), -(_158504 = sz00), doDivides0(_158504, _158502), 611 ^ _140181 : [(620 ^ _140181) ^ [_159200] : [-(_159200 = sdtsldt0(_158502, _158504)), aNaturalNumber0(_159200), _158502 = sdtasdt0(_158504, _159200)], (612 ^ _140181) ^ [_158941] : [_158941 = sdtsldt0(_158502, _158504), 615 ^ _140181 : [(618 ^ _140181) ^ [] : [-(_158502 = sdtasdt0(_158504, _158941))], (616 ^ _140181) ^ [] : [-(aNaturalNumber0(_158941))]]]]], (324 ^ _140181) ^ [_150449, _150451] : [aNaturalNumber0(_150451), aNaturalNumber0(_150449), 331 ^ _140181 : [(341 ^ _140181) ^ [] : [-(sdtlseqdt0(_150451, _150449)), 342 ^ _140181 : [(343 ^ _140181) ^ [_151009] : [aNaturalNumber0(_151009), sdtpldt0(_150451, _151009) = _150449]]], (332 ^ _140181) ^ [] : [sdtlseqdt0(_150451, _150449), 336 ^ _140181 : [(339 ^ _140181) ^ [] : [-(sdtpldt0(_150451, 335 ^ [_150449, _150451]) = _150449)], (337 ^ _140181) ^ [] : [-(aNaturalNumber0(335 ^ [_150449, _150451]))]]]]], (914 ^ _140181) ^ [] : [-(sdtlseqdt0(xp, xn))], (112 ^ _140181) ^ [_143930, _143932, _143934, _143936] : [-(sdtpldt0(_143936, _143932) = sdtpldt0(_143934, _143930)), _143936 = _143934, _143932 = _143930], (246 ^ _140181) ^ [_148150, _148152, _148154] : [259 ^ _140181 : [(262 ^ _140181) ^ [] : [sdtpldt0(_148152, _148154) = sdtpldt0(_148150, _148154)], (260 ^ _140181) ^ [] : [sdtpldt0(_148154, _148152) = sdtpldt0(_148154, _148150)]], -(_148152 = _148150), aNaturalNumber0(_148154), aNaturalNumber0(_148152), aNaturalNumber0(_148150)], (696 ^ _140181) ^ [_161350, _161352] : [aNaturalNumber0(_161352), aNaturalNumber0(_161350), -(sdtlseqdt0(_161352, _161350)), doDivides0(_161352, _161350), -(_161350 = sz00)], (381 ^ _140181) ^ [_152220] : [aNaturalNumber0(_152220), -(sdtlseqdt0(_152220, _152220))], (20 ^ _140181) ^ [_140957, _140959, _140961, _140963] : [-(iLess0(_140961, _140957)), iLess0(_140963, _140959), _140963 = _140961, _140959 = _140957], (266 ^ _140181) ^ [_148727] : [aNaturalNumber0(_148727), -(_148727 = sz00), 273 ^ _140181 : [(274 ^ _140181) ^ [_148989, _148991] : [aNaturalNumber0(_148991), aNaturalNumber0(_148989), 283 ^ _140181 : [(286 ^ _140181) ^ [] : [sdtasdt0(_148991, _148727) = sdtasdt0(_148989, _148727)], (284 ^ _140181) ^ [] : [sdtasdt0(_148727, _148991) = sdtasdt0(_148727, _148989)]], -(_148991 = _148989)]]], (876 ^ _140181) ^ [] : [xp = sz00], (182 ^ _140181) ^ [_146015] : [aNaturalNumber0(_146015), 185 ^ _140181 : [(188 ^ _140181) ^ [] : [-(_146015 = sdtpldt0(sz00, _146015))], (186 ^ _140181) ^ [] : [-(sdtpldt0(_146015, sz00) = _146015)]]], (912 ^ _140181) ^ [] : [-(sdtpldt0(xp, 908 ^ []) = xn)], (92 ^ _140181) ^ [_143232, _143234, _143236, _143238] : [-(sdtmndt0(_143238, _143234) = sdtmndt0(_143236, _143232)), _143238 = _143236, _143234 = _143232], (533 ^ _140181) ^ [_156721, _156723] : [aNaturalNumber0(_156723), aNaturalNumber0(_156721), iLess0(_156723, _156721), true___, -(true___)], (214 ^ _140181) ^ [_147029] : [aNaturalNumber0(_147029), 217 ^ _140181 : [(220 ^ _140181) ^ [] : [-(_147029 = sdtasdt0(sz10, _147029))], (218 ^ _140181) ^ [] : [-(sdtasdt0(_147029, sz10) = _147029)]]], (44 ^ _140181) ^ [_141696, _141698, _141700, _141702] : [-(doDivides0(_141700, _141696)), doDivides0(_141702, _141698), _141702 = _141700, _141698 = _141696], (82 ^ _140181) ^ [_142873, _142875, _142877, _142879] : [-(sdtsldt0(_142879, _142875) = sdtsldt0(_142877, _142873)), _142879 = _142877, _142875 = _142873], (290 ^ _140181) ^ [_149500, _149502] : [aNaturalNumber0(_149502), aNaturalNumber0(_149500), sdtpldt0(_149502, _149500) = sz00, 301 ^ _140181 : [(304 ^ _140181) ^ [] : [-(_149500 = sz00)], (302 ^ _140181) ^ [] : [-(_149502 = sz00)]]], (925 ^ _140181) ^ [] : [-(aNaturalNumber0(923 ^ []))], (903 ^ _140181) ^ [] : [-(aNaturalNumber0(901 ^ []))], (808 ^ _140181) ^ [_164590, _164592, _164594] : [aNaturalNumber0(_164594), aNaturalNumber0(_164592), aNaturalNumber0(_164590), iLess0(sdtpldt0(sdtpldt0(_164594, _164592), _164590), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _140181 : [(867 ^ _140181) ^ [] : [-(doDivides0(_164590, _164594))], (865 ^ _140181) ^ [] : [-(_164594 = sdtasdt0(_164590, 861 ^ [_164590, _164592, _164594]))], (863 ^ _140181) ^ [] : [-(aNaturalNumber0(861 ^ [_164590, _164592, _164594]))]], 869 ^ _140181 : [(874 ^ _140181) ^ [] : [-(doDivides0(_164590, _164592))], (872 ^ _140181) ^ [] : [-(_164592 = sdtasdt0(_164590, 868 ^ [_164590, _164592, _164594]))], (870 ^ _140181) ^ [] : [-(aNaturalNumber0(868 ^ [_164590, _164592, _164594]))]], 847 ^ _140181 : [(848 ^ _140181) ^ [_166011] : [aNaturalNumber0(_166011), sdtasdt0(_164594, _164592) = sdtasdt0(_164590, _166011)], (854 ^ _140181) ^ [] : [doDivides0(_164590, sdtasdt0(_164594, _164592))]], 823 ^ _140181 : [(824 ^ _140181) ^ [] : [-(_164590 = sz00), -(_164590 = sz10), 832 ^ _140181 : [(836 ^ _140181) ^ [] : [-(aNaturalNumber0(834 ^ [_164590, _164592, _164594]))], (833 ^ _140181) ^ [] : [-(aNaturalNumber0(831 ^ [_164590, _164592, _164594]))], (844 ^ _140181) ^ [] : [831 ^ [_164590, _164592, _164594] = _164590], (840 ^ _140181) ^ [] : [-(doDivides0(831 ^ [_164590, _164592, _164594], _164590))], (842 ^ _140181) ^ [] : [831 ^ [_164590, _164592, _164594] = sz10], (838 ^ _140181) ^ [] : [-(_164590 = sdtasdt0(831 ^ [_164590, _164592, _164594], 834 ^ [_164590, _164592, _164594]))]]], (846 ^ _140181) ^ [] : [isPrime0(_164590)]]], (503 ^ _140181) ^ [_155878] : [aNaturalNumber0(_155878), -(_155878 = sz00), -(_155878 = sz10), 514 ^ _140181 : [(517 ^ _140181) ^ [] : [-(sdtlseqdt0(sz10, _155878))], (515 ^ _140181) ^ [] : [sz10 = _155878]]], (783 ^ _140181) ^ [_163823] : [795 ^ _140181 : [(800 ^ _140181) ^ [] : [-(isPrime0(794 ^ [_163823]))], (798 ^ _140181) ^ [] : [-(doDivides0(794 ^ [_163823], _163823))], (796 ^ _140181) ^ [] : [-(aNaturalNumber0(794 ^ [_163823]))]], aNaturalNumber0(_163823), -(_163823 = sz00), -(_163823 = sz10)], (936 ^ _140181) ^ [] : [-(doDivides0(xp, sdtasdt0(xr, xm)))], (102 ^ _140181) ^ [_143591, _143593, _143595, _143597] : [-(sdtasdt0(_143597, _143593) = sdtasdt0(_143595, _143591)), _143597 = _143595, _143593 = _143591], (136 ^ _140181) ^ [] : [sz10 = sz00], (714 ^ _140181) ^ [_161828, _161830] : [aNaturalNumber0(_161830), aNaturalNumber0(_161828), -(_161830 = sz00), doDivides0(_161830, _161828), 729 ^ _140181 : [(730 ^ _140181) ^ [_162238] : [aNaturalNumber0(_162238), -(sdtasdt0(_162238, sdtsldt0(_161828, _161830)) = sdtsldt0(sdtasdt0(_162238, _161828), _161830))]]], (929 ^ _140181) ^ [] : [-(sdtlseqdt0(xr, xn))], (68 ^ _140181) ^ [_142415, _142417, _142419, _142421] : [-(sdtlseqdt0(_142419, _142415)), sdtlseqdt0(_142421, _142417), _142421 = _142419, _142417 = _142415], (222 ^ _140181) ^ [_147302] : [aNaturalNumber0(_147302), 225 ^ _140181 : [(228 ^ _140181) ^ [] : [-(sz00 = sdtasdt0(sz00, _147302))], (226 ^ _140181) ^ [] : [-(sdtasdt0(_147302, sz00) = sz00)]]], (806 ^ _140181) ^ [] : [-(aNaturalNumber0(xp))]], input).
% 43.19/42.70 ncf('1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), 948 : sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],start(938 ^ 0)).
% 43.19/42.70 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([[_153960, _153962, _154404], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 43.19/42.70 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 43.19/42.70 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_144690, _144692], [xm, xr]]))).
% 43.19/42.70 ncf('1.1.2.1',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 3)).
% 43.19/42.70 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.19/42.70 ncf('1.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 2,bind([[_144690, _144692], [xm, xn]]))).
% 43.19/42.70 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.19/42.70 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 43.19/42.70 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([[_153960, _153962, _154404], [xn, xr, xm]]))).
% 43.19/42.70 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.19/42.70 ncf('1.1.4.2',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 3)).
% 43.19/42.70 ncf('1.1.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.19/42.70 ncf('1.1.4.4',plain,[xr = xn],extension(922 ^ 3)).
% 43.19/42.70 ncf('1.1.4.5',plain,[-(sdtlseqdt0(xr, xn))],extension(929 ^ 3)).
% 43.19/42.70 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([[_153960, _153962, _154404], [xn, xr, xm]]))).
% 43.19/42.70 ncf('1.1.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.19/42.70 ncf('1.1.5.2',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 3)).
% 43.19/42.70 ncf('1.1.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 43.19/42.70 ncf('1.1.5.4',plain,[xr = xn],extension(922 ^ 3)).
% 43.19/42.70 ncf('1.1.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(929 ^ 3)).
% 43.19/42.70 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 ^ 3,bind([[_153960, _153962, _154404], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 43.19/42.70 ncf('1.2.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 6)).
% 43.19/42.70 ncf('1.2.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_144690, _144692], [xm, xr]]))).
% 43.19/42.70 ncf('1.2.2.1',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 5)).
% 43.19/42.70 ncf('1.2.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.19/42.70 ncf('1.2.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_144690, _144692], [xm, xn]]))).
% 43.19/42.70 ncf('1.2.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.19/42.70 ncf('1.2.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.19/42.70 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 ^ 4,bind([[_153960, _153962, _154404], [xn, xr, xm]]))).
% 43.19/42.70 ncf('1.2.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.19/42.70 ncf('1.2.4.2',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 5)).
% 43.19/42.70 ncf('1.2.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.19/42.70 ncf('1.2.4.4',plain,[xr = xn],extension(922 ^ 5)).
% 43.19/42.70 ncf('1.2.4.5',plain,[-(sdtlseqdt0(xr, xn))],extension(929 ^ 5)).
% 43.19/42.70 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 ^ 4,bind([[_153960, _153962, _154404], [xn, xr, xm]]))).
% 43.19/42.70 ncf('1.2.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.19/42.70 ncf('1.2.5.2',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 5)).
% 43.19/42.70 ncf('1.2.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.19/42.70 ncf('1.2.5.4',plain,[xr = xn],extension(922 ^ 5)).
% 43.19/42.70 ncf('1.2.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(929 ^ 5)).
% 43.19/42.70 %-----------------------------------------------------
% 43.19/42.70 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------