%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET102+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 11:55:24 EDT 2023

% Result   : Theorem 32.38s 32.40s
% Output   : Proof 32.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET102+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 19:08:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 32.38/32.40  
% 32.38/32.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 32.38/32.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.38/32.40  %-----------------------------------------------------
% 32.38/32.40  ncf(matrix, plain, [(715 ^ _106790) ^ [] : [member(unordered_pair(712 ^ [], singleton(713 ^ [])), ordered_pair(712 ^ [], 713 ^ []))], (2 ^ _106790) ^ [_106934] : [-(_106934 = _106934)], (4 ^ _106790) ^ [_107041, _107043] : [_107043 = _107041, -(_107041 = _107043)], (10 ^ _106790) ^ [_107245, _107247, _107249] : [-(_107249 = _107245), _107249 = _107247, _107247 = _107245], (20 ^ _106790) ^ [_107558, _107560] : [-(inductive(_107558)), _107560 = _107558, inductive(_107560)], (30 ^ _106790) ^ [_107881, _107883, _107885, _107887] : [-(subclass(_107885, _107881)), subclass(_107887, _107883), _107887 = _107885, _107883 = _107881], (44 ^ _106790) ^ [_108325, _108327, _108329, _108331] : [-(disjoint(_108329, _108325)), disjoint(_108331, _108327), _108331 = _108329, _108327 = _108325], (58 ^ _106790) ^ [_108741, _108743] : [-(function(_108741)), _108743 = _108741, function(_108743)], (68 ^ _106790) ^ [_109044, _109046, _109048, _109050] : [-(member(_109048, _109044)), member(_109050, _109046), _109050 = _109048, _109046 = _109044], (82 ^ _106790) ^ [_109474, _109476] : [_109476 = _109474, -(first(_109476) = first(_109474))], (88 ^ _106790) ^ [_109692, _109694] : [_109694 = _109692, -(second(_109694) = second(_109692))], (94 ^ _106790) ^ [_109910, _109912] : [_109912 = _109910, -(complement(_109912) = complement(_109910))], (100 ^ _106790) ^ [_110156, _110158, _110160, _110162] : [-(intersection(_110162, _110158) = intersection(_110160, _110156)), _110162 = _110160, _110158 = _110156], (110 ^ _106790) ^ [_110487, _110489] : [_110489 = _110487, -(rotate(_110489) = rotate(_110487))], (116 ^ _106790) ^ [_110733, _110735, _110737, _110739] : [-(union(_110739, _110735) = union(_110737, _110733)), _110739 = _110737, _110735 = _110733], (126 ^ _106790) ^ [_111064, _111066] : [_111066 = _111064, -(successor(_111066) = successor(_111064))], (132 ^ _106790) ^ [_111282, _111284] : [_111284 = _111282, -(flip(_111284) = flip(_111282))], (138 ^ _106790) ^ [_111500, _111502] : [_111502 = _111500, -(domain_of(_111502) = domain_of(_111500))], (144 ^ _106790) ^ [_111718, _111720] : [_111720 = _111718, -(range_of(_111720) = range_of(_111718))], (150 ^ _106790) ^ [_111992, _111994, _111996, _111998, _112000, _112002] : [-(restrict(_112002, _111998, _111994) = restrict(_112000, _111996, _111992)), _112002 = _112000, _111998 = _111996, _111994 = _111992], (164 ^ _106790) ^ [_112452, _112454] : [_112454 = _112452, -(power_class(_112454) = power_class(_112452))], (170 ^ _106790) ^ [_112698, _112700, _112702, _112704] : [-(cross_product(_112704, _112700) = cross_product(_112702, _112698)), _112704 = _112702, _112700 = _112698], (180 ^ _106790) ^ [_113057, _113059, _113061, _113063] : [-(compose(_113063, _113059) = compose(_113061, _113057)), _113063 = _113061, _113059 = _113057], (190 ^ _106790) ^ [_113388, _113390] : [_113390 = _113388, -(inverse(_113390) = inverse(_113388))], (196 ^ _106790) ^ [_113606, _113608] : [_113608 = _113606, -(sum_class(_113608) = sum_class(_113606))], (202 ^ _106790) ^ [_113852, _113854, _113856, _113858] : [-(image(_113858, _113854) = image(_113856, _113852)), _113858 = _113856, _113854 = _113852], (212 ^ _106790) ^ [_114211, _114213, _114215, _114217] : [-(apply(_114217, _114213) = apply(_114215, _114211)), _114217 = _114215, _114213 = _114211], (222 ^ _106790) ^ [_114570, _114572, _114574, _114576] : [-(unordered_pair(_114576, _114572) = unordered_pair(_114574, _114570)), _114576 = _114574, _114572 = _114570], (232 ^ _106790) ^ [_114901, _114903] : [_114903 = _114901, -(singleton(_114903) = singleton(_114901))], (238 ^ _106790) ^ [_115127, _115129, _115131, _115133] : [-(ordered_pair(_115133, _115129) = ordered_pair(_115131, _115127)), _115133 = _115131, _115129 = _115127], (258 ^ _106790) ^ [_115889, _115891] : [260 ^ _106790 : [(261 ^ _106790) ^ [] : [-(member(259 ^ [_115889, _115891], _115891))], (263 ^ _106790) ^ [] : [member(259 ^ [_115889, _115891], _115889)]], -(subclass(_115891, _115889))], (248 ^ _106790) ^ [_115575, _115577] : [subclass(_115577, _115575), 251 ^ _106790 : [(252 ^ _106790) ^ [_115712] : [member(_115712, _115577), -(member(_115712, _115575))]]], (267 ^ _106790) ^ [_116217] : [-(subclass(_116217, universal_class))], (269 ^ _106790) ^ [_116353, _116355] : [_116355 = _116353, 272 ^ _106790 : [(273 ^ _106790) ^ [] : [-(subclass(_116355, _116353))], (275 ^ _106790) ^ [] : [-(subclass(_116353, _116355))]]], (277 ^ _106790) ^ [_116590, _116592] : [-(_116592 = _116590), subclass(_116592, _116590), subclass(_116590, _116592)], (287 ^ _106790) ^ [_116934, _116936, _116938] : [member(_116938, unordered_pair(_116936, _116934)), 290 ^ _106790 : [(291 ^ _106790) ^ [] : [-(member(_116938, universal_class))], (293 ^ _106790) ^ [] : [-(_116938 = _116936), -(_116938 = _116934)]]], (299 ^ _106790) ^ [_117279, _117281, _117283] : [-(member(_117283, unordered_pair(_117281, _117279))), member(_117283, universal_class), 304 ^ _106790 : [(305 ^ _106790) ^ [] : [_117283 = _117281], (307 ^ _106790) ^ [] : [_117283 = _117279]]], (311 ^ _106790) ^ [_117657, _117659] : [-(member(unordered_pair(_117659, _117657), universal_class))], (313 ^ _106790) ^ [_117740] : [-(singleton(_117740) = unordered_pair(_117740, _117740))], (315 ^ _106790) ^ [_117837, _117839] : [-(ordered_pair(_117839, _117837) = unordered_pair(singleton(_117839), unordered_pair(_117839, singleton(_117837))))], (317 ^ _106790) ^ [_118016, _118018, _118020, _118022] : [member(ordered_pair(_118022, _118020), cross_product(_118018, _118016)), 320 ^ _106790 : [(321 ^ _106790) ^ [] : [-(member(_118022, _118018))], (323 ^ _106790) ^ [] : [-(member(_118020, _118016))]]], (325 ^ _106790) ^ [_118281, _118283, _118285, _118287] : [-(member(ordered_pair(_118287, _118285), cross_product(_118283, _118281))), member(_118287, _118283), member(_118285, _118281)], (335 ^ _106790) ^ [_118614, _118616] : [342 ^ _106790 : [(343 ^ _106790) ^ [] : [-(first(ordered_pair(_118616, _118614)) = _118616)], (345 ^ _106790) ^ [] : [-(second(ordered_pair(_118616, _118614)) = _118614)]], member(_118616, universal_class), member(_118614, universal_class)], (347 ^ _106790) ^ [_119022, _119024, _119026] : [member(_119022, cross_product(_119026, _119024)), -(_119022 = ordered_pair(first(_119022), second(_119022)))], (353 ^ _106790) ^ [_119287, _119289] : [member(ordered_pair(_119289, _119287), element_relation), 356 ^ _106790 : [(357 ^ _106790) ^ [] : [-(member(_119287, universal_class))], (359 ^ _106790) ^ [] : [-(member(_119289, _119287))]]], (361 ^ _106790) ^ [_119530, _119532] : [-(member(ordered_pair(_119532, _119530), element_relation)), member(_119530, universal_class), member(_119532, _119530)], (371 ^ _106790) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _106790) ^ [_119933, _119935, _119937] : [member(_119933, intersection(_119937, _119935)), 376 ^ _106790 : [(377 ^ _106790) ^ [] : [-(member(_119933, _119937))], (379 ^ _106790) ^ [] : [-(member(_119933, _119935))]]], (381 ^ _106790) ^ [_120184, _120186, _120188] : [-(member(_120184, intersection(_120188, _120186))), member(_120184, _120188), member(_120184, _120186)], (391 ^ _106790) ^ [_120530, _120532] : [member(_120530, complement(_120532)), 394 ^ _106790 : [(395 ^ _106790) ^ [] : [-(member(_120530, universal_class))], (397 ^ _106790) ^ [] : [member(_120530, _120532)]]], (399 ^ _106790) ^ [_120772, _120774] : [-(member(_120772, complement(_120774))), member(_120772, universal_class), -(member(_120772, _120774))], (409 ^ _106790) ^ [_121079, _121081, _121083] : [-(restrict(_121081, _121083, _121079) = intersection(_121081, cross_product(_121083, _121079)))], (411 ^ _106790) ^ [_121170] : [member(_121170, null_class)], (413 ^ _106790) ^ [_121306, _121308] : [member(_121306, domain_of(_121308)), 416 ^ _106790 : [(417 ^ _106790) ^ [] : [-(member(_121306, universal_class))], (419 ^ _106790) ^ [] : [restrict(_121308, singleton(_121306), universal_class) = null_class]]], (421 ^ _106790) ^ [_121560, _121562] : [-(member(_121560, domain_of(_121562))), member(_121560, universal_class), -(restrict(_121562, singleton(_121560), universal_class) = null_class)], (431 ^ _106790) ^ [_121937, _121939, _121941, _121943] : [member(ordered_pair(ordered_pair(_121941, _121939), _121937), rotate(_121943)), 434 ^ _106790 : [(435 ^ _106790) ^ [] : [-(member(ordered_pair(ordered_pair(_121941, _121939), _121937), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _106790) ^ [] : [-(member(ordered_pair(ordered_pair(_121939, _121937), _121941), _121943))]]], (439 ^ _106790) ^ [_122230, _122232, _122234, _122236] : [-(member(ordered_pair(ordered_pair(_122234, _122232), _122230), rotate(_122236))), member(ordered_pair(ordered_pair(_122234, _122232), _122230), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_122232, _122230), _122234), _122236)], (449 ^ _106790) ^ [_122562] : [-(subclass(rotate(_122562), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _106790) ^ [_122728, _122730, _122732, _122734] : [member(ordered_pair(ordered_pair(_122734, _122732), _122730), flip(_122728)), 454 ^ _106790 : [(455 ^ _106790) ^ [] : [-(member(ordered_pair(ordered_pair(_122734, _122732), _122730), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _106790) ^ [] : [-(member(ordered_pair(ordered_pair(_122732, _122734), _122730), _122728))]]], (459 ^ _106790) ^ [_123021, _123023, _123025, _123027] : [-(member(ordered_pair(ordered_pair(_123027, _123025), _123023), flip(_123021))), member(ordered_pair(ordered_pair(_123027, _123025), _123023), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_123025, _123027), _123023), _123021)], (469 ^ _106790) ^ [_123353] : [-(subclass(flip(_123353), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _106790) ^ [_123773, _123775, _123777] : [482 ^ _106790 : [(483 ^ _106790) ^ [] : [member(_123773, _123777)], (485 ^ _106790) ^ [] : [member(_123773, _123775)]], -(member(_123773, union(_123777, _123775)))], (471 ^ _106790) ^ [_123505, _123507, _123509] : [member(_123505, union(_123509, _123507)), -(member(_123505, _123509)), -(member(_123505, _123507))], (489 ^ _106790) ^ [_124044] : [-(successor(_124044) = union(_124044, singleton(_124044)))], (491 ^ _106790) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _106790) ^ [_124240, _124242] : [member(ordered_pair(_124242, _124240), successor_relation), 496 ^ _106790 : [(497 ^ _106790) ^ [] : [-(member(_124242, universal_class))], (499 ^ _106790) ^ [] : [-(member(_124240, universal_class))], (501 ^ _106790) ^ [] : [-(successor(_124242) = _124240)]]], (503 ^ _106790) ^ [_124561, _124563] : [-(member(ordered_pair(_124563, _124561), successor_relation)), member(_124563, universal_class), member(_124561, universal_class), successor(_124563) = _124561], (517 ^ _106790) ^ [_124932] : [-(inverse(_124932) = domain_of(flip(cross_product(_124932, universal_class))))], (519 ^ _106790) ^ [_125019] : [-(range_of(_125019) = domain_of(inverse(_125019)))], (521 ^ _106790) ^ [_125117, _125119] : [-(image(_125117, _125119) = range_of(restrict(_125117, _125119, universal_class)))], (523 ^ _106790) ^ [_125250] : [inductive(_125250), 526 ^ _106790 : [(527 ^ _106790) ^ [] : [-(member(null_class, _125250))], (529 ^ _106790) ^ [] : [-(subclass(image(successor_relation, _125250), _125250))]]], (531 ^ _106790) ^ [_125483] : [-(inductive(_125483)), member(null_class, _125483), subclass(image(successor_relation, _125483), _125483)], (542 ^ _106790) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _106790) ^ [] : [-(inductive(540 ^ []))], (546 ^ _106790) ^ [_125928] : [inductive(_125928), -(subclass(540 ^ [], _125928))], (552 ^ _106790) ^ [_126163, _126165] : [member(_126165, sum_class(_126163)), 556 ^ _106790 : [(557 ^ _106790) ^ [] : [-(member(_126165, 555 ^ [_126163, _126165]))], (559 ^ _106790) ^ [] : [-(member(555 ^ [_126163, _126165], _126163))]]], (561 ^ _106790) ^ [_126474, _126476] : [-(member(_126476, sum_class(_126474))), 562 ^ _106790 : [(563 ^ _106790) ^ [_126568] : [member(_126476, _126568), member(_126568, _126474)]]], (571 ^ _106790) ^ [_126828] : [member(_126828, universal_class), -(member(sum_class(_126828), universal_class))], (577 ^ _106790) ^ [_127065, _127067] : [member(_127067, power_class(_127065)), 580 ^ _106790 : [(581 ^ _106790) ^ [] : [-(member(_127067, universal_class))], (583 ^ _106790) ^ [] : [-(subclass(_127067, _127065))]]], (585 ^ _106790) ^ [_127306, _127308] : [-(member(_127308, power_class(_127306))), member(_127308, universal_class), subclass(_127308, _127306)], (595 ^ _106790) ^ [_127597] : [member(_127597, universal_class), -(member(power_class(_127597), universal_class))], (601 ^ _106790) ^ [_127790, _127792] : [-(subclass(compose(_127790, _127792), cross_product(universal_class, universal_class)))], (603 ^ _106790) ^ [_127959, _127961, _127963, _127965] : [member(ordered_pair(_127961, _127959), compose(_127963, _127965)), 606 ^ _106790 : [(607 ^ _106790) ^ [] : [-(member(_127961, universal_class))], (609 ^ _106790) ^ [] : [-(member(_127959, image(_127963, image(_127965, singleton(_127961)))))]]], (611 ^ _106790) ^ [_128240, _128242, _128244, _128246] : [-(member(ordered_pair(_128242, _128240), compose(_128244, _128246))), member(_128242, universal_class), member(_128240, image(_128244, image(_128246, singleton(_128242))))], (621 ^ _106790) ^ [_128604] : [member(_128604, identity_relation), 625 ^ _106790 : [(626 ^ _106790) ^ [] : [-(member(624 ^ [_128604], universal_class))], (628 ^ _106790) ^ [] : [-(_128604 = ordered_pair(624 ^ [_128604], 624 ^ [_128604]))]]], (630 ^ _106790) ^ [_128909] : [-(member(_128909, identity_relation)), 631 ^ _106790 : [(632 ^ _106790) ^ [_129002] : [member(_129002, universal_class), _128909 = ordered_pair(_129002, _129002)]]], (640 ^ _106790) ^ [_129285] : [function(_129285), 643 ^ _106790 : [(644 ^ _106790) ^ [] : [-(subclass(_129285, cross_product(universal_class, universal_class)))], (646 ^ _106790) ^ [] : [-(subclass(compose(_129285, inverse(_129285)), identity_relation))]]], (648 ^ _106790) ^ [_129522] : [-(function(_129522)), subclass(_129522, cross_product(universal_class, universal_class)), subclass(compose(_129522, inverse(_129522)), identity_relation)], (658 ^ _106790) ^ [_129821, _129823] : [-(member(image(_129821, _129823), universal_class)), member(_129823, universal_class), function(_129821)], (678 ^ _106790) ^ [_130468, _130470] : [680 ^ _106790 : [(681 ^ _106790) ^ [] : [-(member(679 ^ [_130468, _130470], _130470))], (683 ^ _106790) ^ [] : [-(member(679 ^ [_130468, _130470], _130468))]], -(disjoint(_130470, _130468))], (668 ^ _106790) ^ [_130153, _130155] : [disjoint(_130155, _130153), 671 ^ _106790 : [(672 ^ _106790) ^ [_130292] : [member(_130292, _130155), member(_130292, _130153)]]], (687 ^ _106790) ^ [_130816] : [-(_130816 = null_class), 691 ^ _106790 : [(692 ^ _106790) ^ [] : [-(member(690 ^ [_130816], universal_class))], (694 ^ _106790) ^ [] : [-(member(690 ^ [_130816], _130816))], (696 ^ _106790) ^ [] : [-(disjoint(690 ^ [_130816], _130816))]]], (698 ^ _106790) ^ [_131226, _131228] : [-(apply(_131228, _131226) = sum_class(image(_131228, singleton(_131226))))], (701 ^ _106790) ^ [] : [-(function(699 ^ []))], (703 ^ _106790) ^ [_131426] : [member(_131426, universal_class), -(_131426 = null_class), -(member(apply(699 ^ [], _131426), _131426))]], input).
% 32.38/32.40  ncf('1',plain,[member(unordered_pair(712 ^ [], singleton(713 ^ [])), ordered_pair(712 ^ [], 713 ^ []))],start(715 ^ 0)).
% 32.38/32.40  ncf('1.1',plain,[-(member(unordered_pair(712 ^ [], singleton(713 ^ [])), ordered_pair(712 ^ [], 713 ^ []))), member(unordered_pair(712 ^ [], singleton(713 ^ [])), union(ordered_pair(712 ^ [], 713 ^ []), universal_class)), -(member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class))],extension(471 ^ 1,bind([[_123505, _123507, _123509], [unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class, ordered_pair(712 ^ [], 713 ^ [])]]))).
% 32.38/32.40  ncf('1.1.1',plain,[-(member(unordered_pair(712 ^ [], singleton(713 ^ [])), union(ordered_pair(712 ^ [], 713 ^ []), universal_class))), 252 : member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class), 252 : subclass(universal_class, union(ordered_pair(712 ^ [], 713 ^ []), universal_class))],extension(248 ^ 2,bind([[_115575, _115577, _115712], [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class, unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.1.1',plain,[-(member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class)), 252 : member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class), 252 : subclass(universal_class, universal_class)],extension(248 ^ 5,bind([[_115575, _115577, _115712], [universal_class, universal_class, unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.1.1.1',plain,[-(member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class)), 252 : member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class), 252 : subclass(universal_class, universal_class)],extension(248 ^ 8,bind([[_115575, _115577, _115712], [universal_class, universal_class, unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.1.1.1.1',plain,[-(member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class))],extension(311 ^ 11,bind([[_117657, _117659], [singleton(713 ^ []), 712 ^ []]]))).
% 32.38/32.40  ncf('1.1.1.1.1.2',plain,[-(subclass(universal_class, universal_class))],extension(267 ^ 9,bind([[_116217], [universal_class]]))).
% 32.38/32.40  ncf('1.1.1.1.2',plain,[-(subclass(universal_class, universal_class)), subclass(universal_class, universal_class), universal_class = universal_class, universal_class = universal_class],extension(30 ^ 6,bind([[_107881, _107883, _107885, _107887], [universal_class, universal_class, universal_class, universal_class]]))).
% 32.38/32.40  ncf('1.1.1.1.2.1',plain,[-(subclass(universal_class, universal_class))],extension(267 ^ 7,bind([[_116217], [universal_class]]))).
% 32.38/32.40  ncf('1.1.1.1.2.2',plain,[-(universal_class = universal_class)],extension(2 ^ 7,bind([[_106934], [universal_class]]))).
% 32.38/32.40  ncf('1.1.1.1.2.3',plain,[-(universal_class = universal_class)],extension(2 ^ 7,bind([[_106934], [universal_class]]))).
% 32.38/32.40  ncf('1.1.1.2',plain,[-(subclass(universal_class, union(ordered_pair(712 ^ [], 713 ^ []), universal_class))), 261 : -(member(259 ^ [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class], universal_class))],extension(258 ^ 3,bind([[_115889, _115891], [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class]]))).
% 32.38/32.40  ncf('1.1.1.2.1',plain,[member(259 ^ [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class], universal_class), -(member(259 ^ [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class], union(ordered_pair(712 ^ [], 713 ^ []), universal_class)))],extension(481 ^ 6,bind([[_123773, _123775, _123777], [259 ^ [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class], universal_class, ordered_pair(712 ^ [], 713 ^ [])]]))).
% 32.38/32.40  ncf('1.1.1.2.1.1',plain,[member(259 ^ [union(ordered_pair(712 ^ [], 713 ^ []), universal_class), universal_class], union(ordered_pair(712 ^ [], 713 ^ []), universal_class))],extension(263 ^ 7)).
% 32.38/32.40  ncf('1.1.2',plain,[member(unordered_pair(712 ^ [], singleton(713 ^ [])), universal_class), -(member(unordered_pair(712 ^ [], singleton(713 ^ [])), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))), 307 : unordered_pair(712 ^ [], singleton(713 ^ [])) = unordered_pair(712 ^ [], singleton(713 ^ []))],extension(299 ^ 2,bind([[_117279, _117281, _117283], [unordered_pair(712 ^ [], singleton(713 ^ [])), singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.2.1',plain,[member(unordered_pair(712 ^ [], singleton(713 ^ [])), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))), -(member(unordered_pair(712 ^ [], singleton(713 ^ [])), ordered_pair(712 ^ [], 713 ^ []))), unordered_pair(712 ^ [], singleton(713 ^ [])) = unordered_pair(712 ^ [], singleton(713 ^ [])), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = ordered_pair(712 ^ [], 713 ^ [])],extension(68 ^ 3,bind([[_109044, _109046, _109048, _109050], [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), unordered_pair(712 ^ [], singleton(713 ^ [])), unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.2.1.1',plain,[member(unordered_pair(712 ^ [], singleton(713 ^ [])), ordered_pair(712 ^ [], 713 ^ []))],reduction('1')).
% 32.38/32.40  ncf('1.1.2.1.2',plain,[-(unordered_pair(712 ^ [], singleton(713 ^ [])) = unordered_pair(712 ^ [], singleton(713 ^ [])))],extension(2 ^ 4,bind([[_106934], [unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  ncf('1.1.2.1.3',plain,[-(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = ordered_pair(712 ^ [], 713 ^ [])), ordered_pair(712 ^ [], 713 ^ []) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))],extension(4 ^ 4,bind([[_107041, _107043], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), ordered_pair(712 ^ [], 713 ^ [])]]))).
% 32.38/32.40  ncf('1.1.2.1.3.1',plain,[-(ordered_pair(712 ^ [], 713 ^ []) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))],extension(315 ^ 5,bind([[_117837, _117839], [713 ^ [], 712 ^ []]]))).
% 32.38/32.40  ncf('1.1.2.2',plain,[-(unordered_pair(712 ^ [], singleton(713 ^ [])) = unordered_pair(712 ^ [], singleton(713 ^ [])))],extension(2 ^ 5,bind([[_106934], [unordered_pair(712 ^ [], singleton(713 ^ []))]]))).
% 32.38/32.40  %-----------------------------------------------------
% 32.38/32.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------