TSTP Solution File: NUM490+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM490+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : NUM490+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command  : nanocop.sh %s %d
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 17:51:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.35/1.40  
% 0.35/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.40  %-----------------------------------------------------
% 0.35/1.40  ncf(matrix, plain, [(935 ^ _121894) ^ [] : [sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)) = sdtasdt0(xn, xm)], (937 ^ _121894) ^ [] : [sdtasdt0(xr, xm) = sdtmndt0(sdtasdt0(xn, xm), sdtasdt0(xp, xm))], (82 ^ _121894) ^ [_124606, _124608, _124610, _124612] : [-(sdtsldt0(_124612, _124608) = sdtsldt0(_124610, _124606)), _124612 = _124610, _124608 = _124606], (92 ^ _121894) ^ [_124965, _124967, _124969, _124971] : [-(sdtpldt0(_124971, _124967) = sdtpldt0(_124969, _124965)), _124971 = _124969, _124967 = _124965], (102 ^ _121894) ^ [_125324, _125326, _125328, _125330] : [-(sdtmndt0(_125330, _125326) = sdtmndt0(_125328, _125324)), _125330 = _125328, _125326 = _125324], (112 ^ _121894) ^ [_125663, _125665, _125667, _125669] : [-(sdtasdt0(_125669, _125665) = sdtasdt0(_125667, _125663)), _125669 = _125667, _125665 = _125663], (2 ^ _121894) ^ [_122038] : [-(_122038 = _122038)], (4 ^ _121894) ^ [_122145, _122147] : [_122147 = _122145, -(_122145 = _122147)], (10 ^ _121894) ^ [_122349, _122351, _122353] : [-(_122353 = _122349), _122353 = _122351, _122351 = _122349], (20 ^ _121894) ^ [_122690, _122692, _122694, _122696] : [-(iLess0(_122694, _122690)), iLess0(_122696, _122692), _122696 = _122694, _122692 = _122690], (34 ^ _121894) ^ [_123106, _123108] : [-(isPrime0(_123106)), _123108 = _123106, isPrime0(_123108)], (44 ^ _121894) ^ [_123429, _123431, _123433, _123435] : [-(doDivides0(_123433, _123429)), doDivides0(_123435, _123431), _123435 = _123433, _123431 = _123429], (58 ^ _121894) ^ [_123845, _123847] : [-(aNaturalNumber0(_123845)), _123847 = _123845, aNaturalNumber0(_123847)], (68 ^ _121894) ^ [_124148, _124150, _124152, _124154] : [-(sdtlseqdt0(_124152, _124148)), sdtlseqdt0(_124154, _124150), _124154 = _124152, _124150 = _124148], (122 ^ _121894) ^ [_125994] : [aNaturalNumber0(_125994), true___, -(true___)], (132 ^ _121894) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _121894) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _121894) ^ [] : [sz10 = sz00], (138 ^ _121894) ^ [_126423, _126425] : [-(aNaturalNumber0(sdtpldt0(_126425, _126423))), aNaturalNumber0(_126425), aNaturalNumber0(_126423)], (148 ^ _121894) ^ [_126722, _126724] : [-(aNaturalNumber0(sdtasdt0(_126724, _126722))), aNaturalNumber0(_126724), aNaturalNumber0(_126722)], (158 ^ _121894) ^ [_127021, _127023] : [-(sdtpldt0(_127023, _127021) = sdtpldt0(_127021, _127023)), aNaturalNumber0(_127023), aNaturalNumber0(_127021)], (168 ^ _121894) ^ [_127342, _127344, _127346] : [-(sdtpldt0(sdtpldt0(_127346, _127344), _127342) = sdtpldt0(_127346, sdtpldt0(_127344, _127342))), aNaturalNumber0(_127346), aNaturalNumber0(_127344), aNaturalNumber0(_127342)], (182 ^ _121894) ^ [_127748] : [aNaturalNumber0(_127748), 185 ^ _121894 : [(186 ^ _121894) ^ [] : [-(sdtpldt0(_127748, sz00) = _127748)], (188 ^ _121894) ^ [] : [-(_127748 = sdtpldt0(sz00, _127748))]]], (190 ^ _121894) ^ [_128035, _128037] : [-(sdtasdt0(_128037, _128035) = sdtasdt0(_128035, _128037)), aNaturalNumber0(_128037), aNaturalNumber0(_128035)], (200 ^ _121894) ^ [_128356, _128358, _128360] : [-(sdtasdt0(sdtasdt0(_128360, _128358), _128356) = sdtasdt0(_128360, sdtasdt0(_128358, _128356))), aNaturalNumber0(_128360), aNaturalNumber0(_128358), aNaturalNumber0(_128356)], (214 ^ _121894) ^ [_128762] : [aNaturalNumber0(_128762), 217 ^ _121894 : [(218 ^ _121894) ^ [] : [-(sdtasdt0(_128762, sz10) = _128762)], (220 ^ _121894) ^ [] : [-(_128762 = sdtasdt0(sz10, _128762))]]], (222 ^ _121894) ^ [_129035] : [aNaturalNumber0(_129035), 225 ^ _121894 : [(226 ^ _121894) ^ [] : [-(sdtasdt0(_129035, sz00) = sz00)], (228 ^ _121894) ^ [] : [-(sz00 = sdtasdt0(sz00, _129035))]]], (230 ^ _121894) ^ [_129336, _129338, _129340] : [241 ^ _121894 : [(242 ^ _121894) ^ [] : [-(sdtasdt0(_129340, sdtpldt0(_129338, _129336)) = sdtpldt0(sdtasdt0(_129340, _129338), sdtasdt0(_129340, _129336)))], (244 ^ _121894) ^ [] : [-(sdtasdt0(sdtpldt0(_129338, _129336), _129340) = sdtpldt0(sdtasdt0(_129338, _129340), sdtasdt0(_129336, _129340)))]], aNaturalNumber0(_129340), aNaturalNumber0(_129338), aNaturalNumber0(_129336)], (246 ^ _121894) ^ [_129883, _129885, _129887] : [259 ^ _121894 : [(260 ^ _121894) ^ [] : [sdtpldt0(_129887, _129885) = sdtpldt0(_129887, _129883)], (262 ^ _121894) ^ [] : [sdtpldt0(_129885, _129887) = sdtpldt0(_129883, _129887)]], -(_129885 = _129883), aNaturalNumber0(_129887), aNaturalNumber0(_129885), aNaturalNumber0(_129883)], (266 ^ _121894) ^ [_130460] : [aNaturalNumber0(_130460), -(_130460 = sz00), 273 ^ _121894 : [(274 ^ _121894) ^ [_130722, _130724] : [aNaturalNumber0(_130724), aNaturalNumber0(_130722), 283 ^ _121894 : [(284 ^ _121894) ^ [] : [sdtasdt0(_130460, _130724) = sdtasdt0(_130460, _130722)], (286 ^ _121894) ^ [] : [sdtasdt0(_130724, _130460) = sdtasdt0(_130722, _130460)]], -(_130724 = _130722)]]], (290 ^ _121894) ^ [_131233, _131235] : [aNaturalNumber0(_131235), aNaturalNumber0(_131233), sdtpldt0(_131235, _131233) = sz00, 301 ^ _121894 : [(302 ^ _121894) ^ [] : [-(_131235 = sz00)], (304 ^ _121894) ^ [] : [-(_131233 = sz00)]]], (306 ^ _121894) ^ [_131700, _131702] : [aNaturalNumber0(_131702), aNaturalNumber0(_131700), sdtasdt0(_131702, _131700) = sz00, -(_131702 = sz00), -(_131700 = sz00)], (324 ^ _121894) ^ [_132182, _132184] : [aNaturalNumber0(_132184), aNaturalNumber0(_132182), 331 ^ _121894 : [(332 ^ _121894) ^ [] : [sdtlseqdt0(_132184, _132182), 336 ^ _121894 : [(337 ^ _121894) ^ [] : [-(aNaturalNumber0(335 ^ [_132182, _132184]))], (339 ^ _121894) ^ [] : [-(sdtpldt0(_132184, 335 ^ [_132182, _132184]) = _132182)]]], (341 ^ _121894) ^ [] : [-(sdtlseqdt0(_132184, _132182)), 342 ^ _121894 : [(343 ^ _121894) ^ [_132742] : [aNaturalNumber0(_132742), sdtpldt0(_132184, _132742) = _132182]]]]], (351 ^ _121894) ^ [_133025, _133027] : [aNaturalNumber0(_133027), aNaturalNumber0(_133025), sdtlseqdt0(_133027, _133025), 362 ^ _121894 : [(363 ^ _121894) ^ [_133372] : [_133372 = sdtmndt0(_133025, _133027), 366 ^ _121894 : [(367 ^ _121894) ^ [] : [-(aNaturalNumber0(_133372))], (369 ^ _121894) ^ [] : [-(sdtpldt0(_133027, _133372) = _133025)]]], (371 ^ _121894) ^ [_133631] : [-(_133631 = sdtmndt0(_133025, _133027)), aNaturalNumber0(_133631), sdtpldt0(_133027, _133631) = _133025]]], (381 ^ _121894) ^ [_133953] : [aNaturalNumber0(_133953), -(sdtlseqdt0(_133953, _133953))], (387 ^ _121894) ^ [_134155, _134157] : [aNaturalNumber0(_134157), aNaturalNumber0(_134155), -(_134157 = _134155), sdtlseqdt0(_134157, _134155), sdtlseqdt0(_134155, _134157)], (405 ^ _121894) ^ [_134644, _134646, _134648] : [aNaturalNumber0(_134648), aNaturalNumber0(_134646), aNaturalNumber0(_134644), -(sdtlseqdt0(_134648, _134644)), sdtlseqdt0(_134648, _134646), sdtlseqdt0(_134646, _134644)], (427 ^ _121894) ^ [_135230, _135232] : [aNaturalNumber0(_135232), aNaturalNumber0(_135230), -(sdtlseqdt0(_135232, _135230)), 438 ^ _121894 : [(439 ^ _121894) ^ [] : [_135230 = _135232], (441 ^ _121894) ^ [] : [-(sdtlseqdt0(_135230, _135232))]]], (443 ^ _121894) ^ [_135693, _135695] : [aNaturalNumber0(_135695), aNaturalNumber0(_135693), -(_135695 = _135693), sdtlseqdt0(_135695, _135693), 458 ^ _121894 : [(459 ^ _121894) ^ [_136137] : [aNaturalNumber0(_136137), 462 ^ _121894 : [(463 ^ _121894) ^ [] : [sdtpldt0(_136137, _135695) = sdtpldt0(_136137, _135693)], (465 ^ _121894) ^ [] : [-(sdtlseqdt0(sdtpldt0(_136137, _135695), sdtpldt0(_136137, _135693)))], (467 ^ _121894) ^ [] : [sdtpldt0(_135695, _136137) = sdtpldt0(_135693, _136137)], (469 ^ _121894) ^ [] : [-(sdtlseqdt0(sdtpldt0(_135695, _136137), sdtpldt0(_135693, _136137)))]]]]], (471 ^ _121894) ^ [_136661, _136663, _136665] : [aNaturalNumber0(_136665), aNaturalNumber0(_136663), aNaturalNumber0(_136661), 494 ^ _121894 : [(495 ^ _121894) ^ [] : [sdtasdt0(_136665, _136663) = sdtasdt0(_136665, _136661)], (497 ^ _121894) ^ [] : [-(sdtlseqdt0(sdtasdt0(_136665, _136663), sdtasdt0(_136665, _136661)))], (499 ^ _121894) ^ [] : [sdtasdt0(_136663, _136665) = sdtasdt0(_136661, _136665)], (501 ^ _121894) ^ [] : [-(sdtlseqdt0(sdtasdt0(_136663, _136665), sdtasdt0(_136661, _136665)))]], -(_136665 = sz00), -(_136663 = _136661), sdtlseqdt0(_136663, _136661)], (503 ^ _121894) ^ [_137611] : [aNaturalNumber0(_137611), -(_137611 = sz00), -(_137611 = sz10), 514 ^ _121894 : [(515 ^ _121894) ^ [] : [sz10 = _137611], (517 ^ _121894) ^ [] : [-(sdtlseqdt0(sz10, _137611))]]], (519 ^ _121894) ^ [_138059, _138061] : [aNaturalNumber0(_138061), aNaturalNumber0(_138059), -(_138061 = sz00), -(sdtlseqdt0(_138059, sdtasdt0(_138059, _138061)))], (533 ^ _121894) ^ [_138454, _138456] : [aNaturalNumber0(_138456), aNaturalNumber0(_138454), iLess0(_138456, _138454), true___, -(true___)], (551 ^ _121894) ^ [_138914, _138916] : [aNaturalNumber0(_138916), aNaturalNumber0(_138914), -(iLess0(_138916, _138914)), -(_138916 = _138914), sdtlseqdt0(_138916, _138914)], (569 ^ _121894) ^ [_139392, _139394] : [aNaturalNumber0(_139394), aNaturalNumber0(_139392), 576 ^ _121894 : [(577 ^ _121894) ^ [] : [doDivides0(_139394, _139392), 581 ^ _121894 : [(582 ^ _121894) ^ [] : [-(aNaturalNumber0(580 ^ [_139392, _139394]))], (584 ^ _121894) ^ [] : [-(_139392 = sdtasdt0(_139394, 580 ^ [_139392, _139394]))]]], (586 ^ _121894) ^ [] : [-(doDivides0(_139394, _139392)), 587 ^ _121894 : [(588 ^ _121894) ^ [_139952] : [aNaturalNumber0(_139952), _139392 = sdtasdt0(_139394, _139952)]]]]], (596 ^ _121894) ^ [_140235, _140237] : [aNaturalNumber0(_140237), aNaturalNumber0(_140235), -(_140237 = sz00), doDivides0(_140237, _140235), 611 ^ _121894 : [(612 ^ _121894) ^ [_140674] : [_140674 = sdtsldt0(_140235, _140237), 615 ^ _121894 : [(616 ^ _121894) ^ [] : [-(aNaturalNumber0(_140674))], (618 ^ _121894) ^ [] : [-(_140235 = sdtasdt0(_140237, _140674))]]], (620 ^ _121894) ^ [_140933] : [-(_140933 = sdtsldt0(_140235, _140237)), aNaturalNumber0(_140933), _140235 = sdtasdt0(_140237, _140933)]]], (630 ^ _121894) ^ [_141285, _141287, _141289] : [aNaturalNumber0(_141289), aNaturalNumber0(_141287), aNaturalNumber0(_141285), -(doDivides0(_141289, _141285)), doDivides0(_141289, _141287), doDivides0(_141287, _141285)], (652 ^ _121894) ^ [_141885, _141887, _141889] : [aNaturalNumber0(_141889), aNaturalNumber0(_141887), aNaturalNumber0(_141885), -(doDivides0(_141889, sdtpldt0(_141887, _141885))), doDivides0(_141889, _141887), doDivides0(_141889, _141885)], (674 ^ _121894) ^ [_142491, _142493, _142495] : [aNaturalNumber0(_142495), aNaturalNumber0(_142493), aNaturalNumber0(_142491), -(doDivides0(_142495, _142491)), doDivides0(_142495, _142493), doDivides0(_142495, sdtpldt0(_142493, _142491))], (696 ^ _121894) ^ [_143083, _143085] : [aNaturalNumber0(_143085), aNaturalNumber0(_143083), -(sdtlseqdt0(_143085, _143083)), doDivides0(_143085, _143083), -(_143083 = sz00)], (714 ^ _121894) ^ [_143561, _143563] : [aNaturalNumber0(_143563), aNaturalNumber0(_143561), -(_143563 = sz00), doDivides0(_143563, _143561), 729 ^ _121894 : [(730 ^ _121894) ^ [_143971] : [aNaturalNumber0(_143971), -(sdtasdt0(_143971, sdtsldt0(_143561, _143563)) = sdtsldt0(sdtasdt0(_143971, _143561), _143563))]]], (736 ^ _121894) ^ [_144212] : [aNaturalNumber0(_144212), 739 ^ _121894 : [(762 ^ _121894) ^ [] : [-(isPrime0(_144212)), -(_144212 = sz00), -(_144212 = sz10), 772 ^ _121894 : [(773 ^ _121894) ^ [] : [-(aNaturalNumber0(771 ^ [_144212]))], (775 ^ _121894) ^ [] : [-(doDivides0(771 ^ [_144212], _144212))], (777 ^ _121894) ^ [] : [771 ^ [_144212] = sz10], (779 ^ _121894) ^ [] : [771 ^ [_144212] = _144212]]], (740 ^ _121894) ^ [] : [isPrime0(_144212), 743 ^ _121894 : [(744 ^ _121894) ^ [] : [_144212 = sz00], (746 ^ _121894) ^ [] : [_144212 = sz10], (748 ^ _121894) ^ [_144604] : [aNaturalNumber0(_144604), doDivides0(_144604, _144212), -(_144604 = sz10), -(_144604 = _144212)]]]]], (783 ^ _121894) ^ [_145556] : [795 ^ _121894 : [(796 ^ _121894) ^ [] : [-(aNaturalNumber0(794 ^ [_145556]))], (798 ^ _121894) ^ [] : [-(doDivides0(794 ^ [_145556], _145556))], (800 ^ _121894) ^ [] : [-(isPrime0(794 ^ [_145556]))]], aNaturalNumber0(_145556), -(_145556 = sz00), -(_145556 = sz10)], (802 ^ _121894) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _121894) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _121894) ^ [] : [-(aNaturalNumber0(xp))], (910 ^ _121894) ^ [] : [-(aNaturalNumber0(908 ^ []))], (912 ^ _121894) ^ [] : [-(sdtpldt0(xp, 908 ^ []) = xn)], (914 ^ _121894) ^ [] : [-(sdtlseqdt0(xp, xn))], (916 ^ _121894) ^ [] : [-(aNaturalNumber0(xr))], (918 ^ _121894) ^ [] : [-(sdtpldt0(xp, xr) = xn)], (920 ^ _121894) ^ [] : [-(xr = sdtmndt0(xn, xp))], (922 ^ _121894) ^ [] : [xr = xn], (925 ^ _121894) ^ [] : [-(aNaturalNumber0(923 ^ []))], (927 ^ _121894) ^ [] : [-(sdtpldt0(xr, 923 ^ []) = xn)], (929 ^ _121894) ^ [] : [-(sdtlseqdt0(xr, xn))], (931 ^ _121894) ^ [] : [-(xn = sdtpldt0(xp, xr))], (933 ^ _121894) ^ [] : [-(sdtasdt0(xn, xm) = sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)))], (876 ^ _121894) ^ [] : [xp = sz00], (878 ^ _121894) ^ [] : [xp = sz10], (900 ^ _121894) ^ [] : [-(isPrime0(xp))], (903 ^ _121894) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _121894) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _121894) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _121894) ^ [_148834] : [-(_148834 = sz10), -(_148834 = xp), aNaturalNumber0(_148834), 885 ^ _121894 : [(892 ^ _121894) ^ [] : [doDivides0(_148834, xp)], (886 ^ _121894) ^ [_149037] : [aNaturalNumber0(_149037), xp = sdtasdt0(_148834, _149037)]]], (808 ^ _121894) ^ [_146323, _146325, _146327] : [aNaturalNumber0(_146327), aNaturalNumber0(_146325), aNaturalNumber0(_146323), iLess0(sdtpldt0(sdtpldt0(_146327, _146325), _146323), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _121894 : [(863 ^ _121894) ^ [] : [-(aNaturalNumber0(861 ^ [_146323, _146325, _146327]))], (865 ^ _121894) ^ [] : [-(_146327 = sdtasdt0(_146323, 861 ^ [_146323, _146325, _146327]))], (867 ^ _121894) ^ [] : [-(doDivides0(_146323, _146327))]], 869 ^ _121894 : [(870 ^ _121894) ^ [] : [-(aNaturalNumber0(868 ^ [_146323, _146325, _146327]))], (872 ^ _121894) ^ [] : [-(_146325 = sdtasdt0(_146323, 868 ^ [_146323, _146325, _146327]))], (874 ^ _121894) ^ [] : [-(doDivides0(_146323, _146325))]], 847 ^ _121894 : [(854 ^ _121894) ^ [] : [doDivides0(_146323, sdtasdt0(_146327, _146325))], (848 ^ _121894) ^ [_147744] : [aNaturalNumber0(_147744), sdtasdt0(_146327, _146325) = sdtasdt0(_146323, _147744)]], 823 ^ _121894 : [(846 ^ _121894) ^ [] : [isPrime0(_146323)], (824 ^ _121894) ^ [] : [-(_146323 = sz00), -(_146323 = sz10), 832 ^ _121894 : [(833 ^ _121894) ^ [] : [-(aNaturalNumber0(831 ^ [_146323, _146325, _146327]))], (836 ^ _121894) ^ [] : [-(aNaturalNumber0(834 ^ [_146323, _146325, _146327]))], (838 ^ _121894) ^ [] : [-(_146323 = sdtasdt0(831 ^ [_146323, _146325, _146327], 834 ^ [_146323, _146325, _146327]))], (840 ^ _121894) ^ [] : [-(doDivides0(831 ^ [_146323, _146325, _146327], _146323))], (842 ^ _121894) ^ [] : [831 ^ [_146323, _146325, _146327] = sz10], (844 ^ _121894) ^ [] : [831 ^ [_146323, _146325, _146327] = _146323]]]]]], input).
% 0.35/1.40  ncf('1',plain,[sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)) = sdtasdt0(xn, xm)],start(935 ^ 0)).
% 0.35/1.40  ncf('1.1',plain,[-(sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)) = sdtasdt0(xn, xm)), sdtasdt0(xn, xm) = sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm))],extension(4 ^ 1,bind([[_122145, _122147], [sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)), sdtasdt0(xn, xm)]]))).
% 0.35/1.40  ncf('1.1.1',plain,[-(sdtasdt0(xn, xm) = sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)))],extension(933 ^ 2)).
% 0.35/1.40  %-----------------------------------------------------
% 0.35/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------