TSTP Solution File: NUM493+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM493+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:44:46 EDT 2023
% Result : Theorem 246.75s 238.33s
% Output : Proof 246.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM493+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n029.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 18:05:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 246.75/238.33
% 246.75/238.33 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 246.75/238.33 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 246.75/238.33 %-----------------------------------------------------
% 246.75/238.33 ncf(matrix, plain, [(94 ^ _101567) ^ [_104434] : [aNaturalNumber0(_104434), 97 ^ _101567 : [(98 ^ _101567) ^ [] : [-(sdtasdt0(_104434, sz10) = _104434)], (100 ^ _101567) ^ [] : [-(_104434 = sdtasdt0(sz10, _104434))]]], (732 ^ _101567) ^ [] : [doDivides0(xp, xr)], (186 ^ _101567) ^ [_107372, _107374] : [aNaturalNumber0(_107374), aNaturalNumber0(_107372), sdtasdt0(_107374, _107372) = sz00, -(_107374 = sz00), -(_107372 = sz00)], (351 ^ _101567) ^ [_112333, _112335, _112337] : [aNaturalNumber0(_112337), aNaturalNumber0(_112335), aNaturalNumber0(_112333), 374 ^ _101567 : [(375 ^ _101567) ^ [] : [sdtasdt0(_112337, _112335) = sdtasdt0(_112337, _112333)], (377 ^ _101567) ^ [] : [-(sdtlseqdt0(sdtasdt0(_112337, _112335), sdtasdt0(_112337, _112333)))], (379 ^ _101567) ^ [] : [sdtasdt0(_112335, _112337) = sdtasdt0(_112333, _112337)], (381 ^ _101567) ^ [] : [-(sdtlseqdt0(sdtasdt0(_112335, _112337), sdtasdt0(_112333, _112337)))]], -(_112337 = sz00), -(_112335 = _112333), sdtlseqdt0(_112335, _112333)], (684 ^ _101567) ^ [] : [-(aNaturalNumber0(xm))], (413 ^ _101567) ^ [_114126, _114128] : [aNaturalNumber0(_114128), aNaturalNumber0(_114126), iLess0(_114128, _114126), true___, -(true___)], (14 ^ _101567) ^ [] : [-(aNaturalNumber0(sz10))], (554 ^ _101567) ^ [_118163, _118165, _118167] : [aNaturalNumber0(_118167), aNaturalNumber0(_118165), aNaturalNumber0(_118163), -(doDivides0(_118167, _118163)), doDivides0(_118167, _118165), doDivides0(_118167, sdtpldt0(_118165, _118163))], (38 ^ _101567) ^ [_102693, _102695] : [-(sdtpldt0(_102695, _102693) = sdtpldt0(_102693, _102695)), aNaturalNumber0(_102695), aNaturalNumber0(_102693)], (62 ^ _101567) ^ [_103420] : [aNaturalNumber0(_103420), 65 ^ _101567 : [(66 ^ _101567) ^ [] : [-(sdtpldt0(_103420, sz00) = _103420)], (68 ^ _101567) ^ [] : [-(_103420 = sdtpldt0(sz00, _103420))]]], (616 ^ _101567) ^ [_119884] : [aNaturalNumber0(_119884), 619 ^ _101567 : [(642 ^ _101567) ^ [] : [-(isPrime0(_119884)), -(_119884 = sz00), -(_119884 = sz10), 652 ^ _101567 : [(653 ^ _101567) ^ [] : [-(aNaturalNumber0(651 ^ [_119884]))], (655 ^ _101567) ^ [] : [-(doDivides0(651 ^ [_119884], _119884))], (657 ^ _101567) ^ [] : [651 ^ [_119884] = sz10], (659 ^ _101567) ^ [] : [651 ^ [_119884] = _119884]]], (620 ^ _101567) ^ [] : [isPrime0(_119884), 623 ^ _101567 : [(628 ^ _101567) ^ [_120276] : [aNaturalNumber0(_120276), doDivides0(_120276, _119884), -(_120276 = sz10), -(_120276 = _119884)], (624 ^ _101567) ^ [] : [_119884 = sz00], (626 ^ _101567) ^ [] : [_119884 = sz10]]]]], (70 ^ _101567) ^ [_103707, _103709] : [-(sdtasdt0(_103709, _103707) = sdtasdt0(_103707, _103709)), aNaturalNumber0(_103709), aNaturalNumber0(_103707)], (48 ^ _101567) ^ [_103014, _103016, _103018] : [-(sdtpldt0(sdtpldt0(_103018, _103016), _103014) = sdtpldt0(_103018, sdtpldt0(_103016, _103014))), aNaturalNumber0(_103018), aNaturalNumber0(_103016), aNaturalNumber0(_103014)], (510 ^ _101567) ^ [_116957, _116959, _116961] : [aNaturalNumber0(_116961), aNaturalNumber0(_116959), aNaturalNumber0(_116957), -(doDivides0(_116961, _116957)), doDivides0(_116961, _116959), doDivides0(_116959, _116957)], (267 ^ _101567) ^ [_109827, _109829] : [aNaturalNumber0(_109829), aNaturalNumber0(_109827), -(_109829 = _109827), sdtlseqdt0(_109829, _109827), sdtlseqdt0(_109827, _109829)], (722 ^ _101567) ^ [] : [-(sdtlseqdt0(xp, xn))], (126 ^ _101567) ^ [_105555, _105557, _105559] : [139 ^ _101567 : [(140 ^ _101567) ^ [] : [sdtpldt0(_105559, _105557) = sdtpldt0(_105559, _105555)], (142 ^ _101567) ^ [] : [sdtpldt0(_105557, _105559) = sdtpldt0(_105555, _105559)]], -(_105557 = _105555), aNaturalNumber0(_105559), aNaturalNumber0(_105557), aNaturalNumber0(_105555)], (449 ^ _101567) ^ [_115064, _115066] : [aNaturalNumber0(_115066), aNaturalNumber0(_115064), 456 ^ _101567 : [(457 ^ _101567) ^ [] : [doDivides0(_115066, _115064), 461 ^ _101567 : [(462 ^ _101567) ^ [] : [-(aNaturalNumber0(460 ^ [_115064, _115066]))], (464 ^ _101567) ^ [] : [-(_115064 = sdtasdt0(_115066, 460 ^ [_115064, _115066]))]]], (466 ^ _101567) ^ [] : [-(doDivides0(_115066, _115064)), 467 ^ _101567 : [(468 ^ _101567) ^ [_115624] : [aNaturalNumber0(_115624), _115064 = sdtasdt0(_115066, _115624)]]]]], (682 ^ _101567) ^ [] : [-(aNaturalNumber0(xn))], (688 ^ _101567) ^ [_121995, _121997, _121999] : [aNaturalNumber0(_121999), aNaturalNumber0(_121997), aNaturalNumber0(_121995), isPrime0(_121995), doDivides0(_121995, sdtasdt0(_121999, _121997)), iLess0(sdtpldt0(sdtpldt0(_121999, _121997), _121995), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_121995, _121999)), -(doDivides0(_121995, _121997))], (724 ^ _101567) ^ [] : [-(xr = sdtmndt0(xn, xp))], (728 ^ _101567) ^ [] : [-(sdtlseqdt0(xr, xn))], (102 ^ _101567) ^ [_104707] : [aNaturalNumber0(_104707), 105 ^ _101567 : [(106 ^ _101567) ^ [] : [-(sdtasdt0(_104707, sz00) = sz00)], (108 ^ _101567) ^ [] : [-(sz00 = sdtasdt0(sz00, _104707))]]], (718 ^ _101567) ^ [] : [-(isPrime0(xp))], (18 ^ _101567) ^ [_102095, _102097] : [-(aNaturalNumber0(sdtpldt0(_102097, _102095))), aNaturalNumber0(_102097), aNaturalNumber0(_102095)], (231 ^ _101567) ^ [_108697, _108699] : [aNaturalNumber0(_108699), aNaturalNumber0(_108697), sdtlseqdt0(_108699, _108697), 242 ^ _101567 : [(243 ^ _101567) ^ [_109044] : [_109044 = sdtmndt0(_108697, _108699), 246 ^ _101567 : [(247 ^ _101567) ^ [] : [-(aNaturalNumber0(_109044))], (249 ^ _101567) ^ [] : [-(sdtpldt0(_108699, _109044) = _108697)]]], (251 ^ _101567) ^ [_109303] : [-(_109303 = sdtmndt0(_108697, _108699)), aNaturalNumber0(_109303), sdtpldt0(_108699, _109303) = _108697]]], (431 ^ _101567) ^ [_114586, _114588] : [aNaturalNumber0(_114588), aNaturalNumber0(_114586), -(iLess0(_114588, _114586)), -(_114588 = _114586), sdtlseqdt0(_114588, _114586)], (576 ^ _101567) ^ [_118755, _118757] : [aNaturalNumber0(_118757), aNaturalNumber0(_118755), -(sdtlseqdt0(_118757, _118755)), doDivides0(_118757, _118755), -(_118755 = sz00)], (170 ^ _101567) ^ [_106905, _106907] : [aNaturalNumber0(_106907), aNaturalNumber0(_106905), sdtpldt0(_106907, _106905) = sz00, 181 ^ _101567 : [(182 ^ _101567) ^ [] : [-(_106907 = sz00)], (184 ^ _101567) ^ [] : [-(_106905 = sz00)]]], (720 ^ _101567) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (730 ^ _101567) ^ [] : [-(doDivides0(xp, sdtasdt0(xr, xm)))], (28 ^ _101567) ^ [_102394, _102396] : [-(aNaturalNumber0(sdtasdt0(_102396, _102394))), aNaturalNumber0(_102396), aNaturalNumber0(_102394)], (2 ^ _101567) ^ [_101666] : [aNaturalNumber0(_101666), true___, -(true___)], (532 ^ _101567) ^ [_117557, _117559, _117561] : [aNaturalNumber0(_117561), aNaturalNumber0(_117559), aNaturalNumber0(_117557), -(doDivides0(_117561, sdtpldt0(_117559, _117557))), doDivides0(_117561, _117559), doDivides0(_117561, _117557)], (146 ^ _101567) ^ [_106132] : [aNaturalNumber0(_106132), -(_106132 = sz00), 153 ^ _101567 : [(154 ^ _101567) ^ [_106394, _106396] : [aNaturalNumber0(_106396), aNaturalNumber0(_106394), 163 ^ _101567 : [(164 ^ _101567) ^ [] : [sdtasdt0(_106132, _106396) = sdtasdt0(_106132, _106394)], (166 ^ _101567) ^ [] : [sdtasdt0(_106396, _106132) = sdtasdt0(_106394, _106132)]], -(_106396 = _106394)]]], (734 ^ _101567) ^ [] : [doDivides0(xp, xm)], (261 ^ _101567) ^ [_109625] : [aNaturalNumber0(_109625), -(sdtlseqdt0(_109625, _109625))], (686 ^ _101567) ^ [] : [-(aNaturalNumber0(xp))], (383 ^ _101567) ^ [_113283] : [aNaturalNumber0(_113283), -(_113283 = sz00), -(_113283 = sz10), 394 ^ _101567 : [(395 ^ _101567) ^ [] : [sz10 = _113283], (397 ^ _101567) ^ [] : [-(sdtlseqdt0(sz10, _113283))]]], (726 ^ _101567) ^ [] : [xr = xn], (594 ^ _101567) ^ [_119233, _119235] : [aNaturalNumber0(_119235), aNaturalNumber0(_119233), -(_119235 = sz00), doDivides0(_119235, _119233), 609 ^ _101567 : [(610 ^ _101567) ^ [_119643] : [aNaturalNumber0(_119643), -(sdtasdt0(_119643, sdtsldt0(_119233, _119235)) = sdtsldt0(sdtasdt0(_119643, _119233), _119235))]]], (399 ^ _101567) ^ [_113731, _113733] : [aNaturalNumber0(_113733), aNaturalNumber0(_113731), -(_113733 = sz00), -(sdtlseqdt0(_113731, sdtasdt0(_113731, _113733)))], (80 ^ _101567) ^ [_104028, _104030, _104032] : [-(sdtasdt0(sdtasdt0(_104032, _104030), _104028) = sdtasdt0(_104032, sdtasdt0(_104030, _104028))), aNaturalNumber0(_104032), aNaturalNumber0(_104030), aNaturalNumber0(_104028)], (285 ^ _101567) ^ [_110316, _110318, _110320] : [aNaturalNumber0(_110320), aNaturalNumber0(_110318), aNaturalNumber0(_110316), -(sdtlseqdt0(_110320, _110316)), sdtlseqdt0(_110320, _110318), sdtlseqdt0(_110318, _110316)], (204 ^ _101567) ^ [_107854, _107856] : [aNaturalNumber0(_107856), aNaturalNumber0(_107854), 211 ^ _101567 : [(212 ^ _101567) ^ [] : [sdtlseqdt0(_107856, _107854), 216 ^ _101567 : [(217 ^ _101567) ^ [] : [-(aNaturalNumber0(215 ^ [_107854, _107856]))], (219 ^ _101567) ^ [] : [-(sdtpldt0(_107856, 215 ^ [_107854, _107856]) = _107854)]]], (221 ^ _101567) ^ [] : [-(sdtlseqdt0(_107856, _107854)), 222 ^ _101567 : [(223 ^ _101567) ^ [_108414] : [aNaturalNumber0(_108414), sdtpldt0(_107856, _108414) = _107854]]]]], (323 ^ _101567) ^ [_111365, _111367] : [aNaturalNumber0(_111367), aNaturalNumber0(_111365), -(_111367 = _111365), sdtlseqdt0(_111367, _111365), 338 ^ _101567 : [(339 ^ _101567) ^ [_111809] : [aNaturalNumber0(_111809), 342 ^ _101567 : [(343 ^ _101567) ^ [] : [sdtpldt0(_111809, _111367) = sdtpldt0(_111809, _111365)], (345 ^ _101567) ^ [] : [-(sdtlseqdt0(sdtpldt0(_111809, _111367), sdtpldt0(_111809, _111365)))], (347 ^ _101567) ^ [] : [sdtpldt0(_111367, _111809) = sdtpldt0(_111365, _111809)], (349 ^ _101567) ^ [] : [-(sdtlseqdt0(sdtpldt0(_111367, _111809), sdtpldt0(_111365, _111809)))]]]]], (476 ^ _101567) ^ [_115907, _115909] : [aNaturalNumber0(_115909), aNaturalNumber0(_115907), -(_115909 = sz00), doDivides0(_115909, _115907), 491 ^ _101567 : [(492 ^ _101567) ^ [_116346] : [_116346 = sdtsldt0(_115907, _115909), 495 ^ _101567 : [(496 ^ _101567) ^ [] : [-(aNaturalNumber0(_116346))], (498 ^ _101567) ^ [] : [-(_115907 = sdtasdt0(_115909, _116346))]]], (500 ^ _101567) ^ [_116605] : [-(_116605 = sdtsldt0(_115907, _115909)), aNaturalNumber0(_116605), _115907 = sdtasdt0(_115909, _116605)]]], (110 ^ _101567) ^ [_105008, _105010, _105012] : [121 ^ _101567 : [(122 ^ _101567) ^ [] : [-(sdtasdt0(_105012, sdtpldt0(_105010, _105008)) = sdtpldt0(sdtasdt0(_105012, _105010), sdtasdt0(_105012, _105008)))], (124 ^ _101567) ^ [] : [-(sdtasdt0(sdtpldt0(_105010, _105008), _105012) = sdtpldt0(sdtasdt0(_105010, _105012), sdtasdt0(_105008, _105012)))]], aNaturalNumber0(_105012), aNaturalNumber0(_105010), aNaturalNumber0(_105008)], (307 ^ _101567) ^ [_110902, _110904] : [aNaturalNumber0(_110904), aNaturalNumber0(_110902), -(sdtlseqdt0(_110904, _110902)), 318 ^ _101567 : [(319 ^ _101567) ^ [] : [_110902 = _110904], (321 ^ _101567) ^ [] : [-(sdtlseqdt0(_110902, _110904))]]], (16 ^ _101567) ^ [] : [sz10 = sz00], (663 ^ _101567) ^ [_121228] : [675 ^ _101567 : [(680 ^ _101567) ^ [] : [-(isPrime0(674 ^ [_121228]))], (676 ^ _101567) ^ [] : [-(aNaturalNumber0(674 ^ [_121228]))], (678 ^ _101567) ^ [] : [-(doDivides0(674 ^ [_121228], _121228))]], aNaturalNumber0(_121228), -(_121228 = sz00), -(_121228 = sz10)], (12 ^ _101567) ^ [] : [-(aNaturalNumber0(sz00))]], input).
% 246.75/238.33 ncf('1',plain,[doDivides0(xp, xr)],start(732 ^ 0)).
% 246.75/238.33 ncf('1.1',plain,[-(doDivides0(xp, xr)), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xp), isPrime0(xp), doDivides0(xp, sdtasdt0(xr, xm)), iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(xp, xm))],extension(688 ^ 1,bind([[_121995, _121997, _121999], [xp, xm, xr]]))).
% 246.75/238.33 ncf('1.1.1',plain,[-(aNaturalNumber0(xr)), 243 : xr = sdtmndt0(xn, xp), 243 : aNaturalNumber0(xp), 243 : aNaturalNumber0(xn), 243 : sdtlseqdt0(xp, xn)],extension(231 ^ 2,bind([[_108697, _108699, _109044], [xn, xp, xr]]))).
% 246.75/238.33 ncf('1.1.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(724 ^ 5)).
% 246.75/238.33 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(686 ^ 3)).
% 246.75/238.33 ncf('1.1.1.3',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 3)).
% 246.75/238.33 ncf('1.1.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(722 ^ 3)).
% 246.75/238.33 ncf('1.1.2',plain,[-(aNaturalNumber0(xm))],extension(684 ^ 2)).
% 246.75/238.33 ncf('1.1.3',plain,[-(aNaturalNumber0(xp))],extension(686 ^ 2)).
% 246.75/238.33 ncf('1.1.4',plain,[-(isPrime0(xp))],extension(718 ^ 2)).
% 246.75/238.33 ncf('1.1.5',plain,[-(doDivides0(xp, sdtasdt0(xr, xm)))],extension(730 ^ 2)).
% 246.75/238.33 ncf('1.1.6',plain,[-(iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(431 ^ 2,bind([[_114586, _114588], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(xr, xm), xp)]]))).
% 246.75/238.33 ncf('1.1.6.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp))), aNaturalNumber0(sdtpldt0(xr, xm)), aNaturalNumber0(xp)],extension(18 ^ 3,bind([[_102095, _102097], [xp, sdtpldt0(xr, xm)]]))).
% 246.75/238.33 ncf('1.1.6.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xr]]))).
% 246.75/238.33 ncf('1.1.6.1.1.1',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.1.1.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.1.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(18 ^ 3,bind([[_102095, _102097], [xp, sdtpldt0(xn, xm)]]))).
% 246.75/238.33 ncf('1.1.6.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xn]]))).
% 246.75/238.33 ncf('1.1.6.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.2.1.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.2.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), aNaturalNumber0(xp), aNaturalNumber0(sdtpldt0(xr, xm)), aNaturalNumber0(sdtpldt0(xn, xm))],extension(126 ^ 3,bind([[_105555, _105557, _105559], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 246.75/238.33 ncf('1.1.6.3.1',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(xr = xn), aNaturalNumber0(xm), aNaturalNumber0(xr), aNaturalNumber0(xn)],extension(126 ^ 4,bind([[_105555, _105557, _105559], [xn, xr, xm]]))).
% 246.75/238.33 ncf('1.1.6.3.1.1',plain,[xr = xn],extension(726 ^ 5)).
% 246.75/238.33 ncf('1.1.6.3.1.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3.1.3',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3.1.4',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.3.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3.3',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xr]]))).
% 246.75/238.33 ncf('1.1.6.3.3.1',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3.3.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.3.4',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xn]]))).
% 246.75/238.33 ncf('1.1.6.3.4.1',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.3.4.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 339 : aNaturalNumber0(xp), 339 : aNaturalNumber0(sdtpldt0(xr, xm)), 339 : aNaturalNumber0(sdtpldt0(xn, xm)), 339 : -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), 339 : sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))],extension(323 ^ 3,bind([[_111365, _111367, _111809], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 246.75/238.33 ncf('1.1.6.4.1',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xr]]))).
% 246.75/238.33 ncf('1.1.6.4.2.1',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.2.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(18 ^ 4,bind([[_102095, _102097], [xm, xn]]))).
% 246.75/238.33 ncf('1.1.6.4.3.1',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.4.3.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(xr = xn), aNaturalNumber0(xm), aNaturalNumber0(xr), aNaturalNumber0(xn)],extension(126 ^ 4,bind([[_105555, _105557, _105559], [xn, xr, xm]]))).
% 246.75/238.33 ncf('1.1.6.4.4.1',plain,[xr = xn],extension(726 ^ 5)).
% 246.75/238.33 ncf('1.1.6.4.4.2',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.4.3',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.4.4',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.4.5',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), 339 : aNaturalNumber0(xm), 339 : aNaturalNumber0(xr), 339 : aNaturalNumber0(xn), 339 : -(xr = xn), 339 : sdtlseqdt0(xr, xn)],extension(323 ^ 4,bind([[_111365, _111367, _111809], [xn, xr, xm]]))).
% 246.75/238.33 ncf('1.1.6.4.5.1',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.5.2',plain,[-(aNaturalNumber0(xr))],lemmata('[1].x')).
% 246.75/238.33 ncf('1.1.6.4.5.3',plain,[-(aNaturalNumber0(xn))],extension(682 ^ 5)).
% 246.75/238.33 ncf('1.1.6.4.5.4',plain,[xr = xn],extension(726 ^ 5)).
% 246.75/238.33 ncf('1.1.6.4.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(728 ^ 5)).
% 246.75/238.33 ncf('1.1.7',plain,[doDivides0(xp, xm)],extension(734 ^ 2)).
% 246.75/238.33 %-----------------------------------------------------
% 246.75/238.33 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------