%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET066+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 11:55:16 EDT 2023

% Result   : Theorem 23.43s 23.09s
% Output   : Proof 23.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET066+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n007.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 18:58:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 23.43/23.09  
% 23.43/23.09  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 23.43/23.09  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.43/23.09  %-----------------------------------------------------
% 23.43/23.09  ncf(matrix, plain, [(715 ^ _108043) ^ [] : [unordered_pair(712 ^ [], 713 ^ []) = unordered_pair(713 ^ [], 712 ^ [])], (2 ^ _108043) ^ [_108187] : [-(_108187 = _108187)], (4 ^ _108043) ^ [_108294, _108296] : [_108296 = _108294, -(_108294 = _108296)], (10 ^ _108043) ^ [_108498, _108500, _108502] : [-(_108502 = _108498), _108502 = _108500, _108500 = _108498], (20 ^ _108043) ^ [_108811, _108813] : [-(inductive(_108811)), _108813 = _108811, inductive(_108813)], (30 ^ _108043) ^ [_109134, _109136, _109138, _109140] : [-(subclass(_109138, _109134)), subclass(_109140, _109136), _109140 = _109138, _109136 = _109134], (44 ^ _108043) ^ [_109578, _109580, _109582, _109584] : [-(disjoint(_109582, _109578)), disjoint(_109584, _109580), _109584 = _109582, _109580 = _109578], (58 ^ _108043) ^ [_109994, _109996] : [-(function(_109994)), _109996 = _109994, function(_109996)], (68 ^ _108043) ^ [_110297, _110299, _110301, _110303] : [-(member(_110301, _110297)), member(_110303, _110299), _110303 = _110301, _110299 = _110297], (82 ^ _108043) ^ [_110727, _110729] : [_110729 = _110727, -(first(_110729) = first(_110727))], (88 ^ _108043) ^ [_110945, _110947] : [_110947 = _110945, -(second(_110947) = second(_110945))], (94 ^ _108043) ^ [_111163, _111165] : [_111165 = _111163, -(complement(_111165) = complement(_111163))], (100 ^ _108043) ^ [_111409, _111411, _111413, _111415] : [-(intersection(_111415, _111411) = intersection(_111413, _111409)), _111415 = _111413, _111411 = _111409], (110 ^ _108043) ^ [_111740, _111742] : [_111742 = _111740, -(rotate(_111742) = rotate(_111740))], (116 ^ _108043) ^ [_111986, _111988, _111990, _111992] : [-(union(_111992, _111988) = union(_111990, _111986)), _111992 = _111990, _111988 = _111986], (126 ^ _108043) ^ [_112317, _112319] : [_112319 = _112317, -(successor(_112319) = successor(_112317))], (132 ^ _108043) ^ [_112535, _112537] : [_112537 = _112535, -(flip(_112537) = flip(_112535))], (138 ^ _108043) ^ [_112753, _112755] : [_112755 = _112753, -(domain_of(_112755) = domain_of(_112753))], (144 ^ _108043) ^ [_112971, _112973] : [_112973 = _112971, -(range_of(_112973) = range_of(_112971))], (150 ^ _108043) ^ [_113245, _113247, _113249, _113251, _113253, _113255] : [-(restrict(_113255, _113251, _113247) = restrict(_113253, _113249, _113245)), _113255 = _113253, _113251 = _113249, _113247 = _113245], (164 ^ _108043) ^ [_113705, _113707] : [_113707 = _113705, -(power_class(_113707) = power_class(_113705))], (170 ^ _108043) ^ [_113951, _113953, _113955, _113957] : [-(ordered_pair(_113957, _113953) = ordered_pair(_113955, _113951)), _113957 = _113955, _113953 = _113951], (180 ^ _108043) ^ [_114310, _114312, _114314, _114316] : [-(cross_product(_114316, _114312) = cross_product(_114314, _114310)), _114316 = _114314, _114312 = _114310], (190 ^ _108043) ^ [_114669, _114671, _114673, _114675] : [-(compose(_114675, _114671) = compose(_114673, _114669)), _114675 = _114673, _114671 = _114669], (200 ^ _108043) ^ [_115000, _115002] : [_115002 = _115000, -(inverse(_115002) = inverse(_115000))], (206 ^ _108043) ^ [_115218, _115220] : [_115220 = _115218, -(sum_class(_115220) = sum_class(_115218))], (212 ^ _108043) ^ [_115464, _115466, _115468, _115470] : [-(image(_115470, _115466) = image(_115468, _115464)), _115470 = _115468, _115466 = _115464], (222 ^ _108043) ^ [_115795, _115797] : [_115797 = _115795, -(singleton(_115797) = singleton(_115795))], (228 ^ _108043) ^ [_116041, _116043, _116045, _116047] : [-(apply(_116047, _116043) = apply(_116045, _116041)), _116047 = _116045, _116043 = _116041], (238 ^ _108043) ^ [_116380, _116382, _116384, _116386] : [-(unordered_pair(_116386, _116382) = unordered_pair(_116384, _116380)), _116386 = _116384, _116382 = _116380], (258 ^ _108043) ^ [_117142, _117144] : [260 ^ _108043 : [(261 ^ _108043) ^ [] : [-(member(259 ^ [_117142, _117144], _117144))], (263 ^ _108043) ^ [] : [member(259 ^ [_117142, _117144], _117142)]], -(subclass(_117144, _117142))], (248 ^ _108043) ^ [_116828, _116830] : [subclass(_116830, _116828), 251 ^ _108043 : [(252 ^ _108043) ^ [_116965] : [member(_116965, _116830), -(member(_116965, _116828))]]], (267 ^ _108043) ^ [_117470] : [-(subclass(_117470, universal_class))], (269 ^ _108043) ^ [_117606, _117608] : [_117608 = _117606, 272 ^ _108043 : [(273 ^ _108043) ^ [] : [-(subclass(_117608, _117606))], (275 ^ _108043) ^ [] : [-(subclass(_117606, _117608))]]], (277 ^ _108043) ^ [_117843, _117845] : [-(_117845 = _117843), subclass(_117845, _117843), subclass(_117843, _117845)], (287 ^ _108043) ^ [_118187, _118189, _118191] : [member(_118191, unordered_pair(_118189, _118187)), 290 ^ _108043 : [(291 ^ _108043) ^ [] : [-(member(_118191, universal_class))], (293 ^ _108043) ^ [] : [-(_118191 = _118189), -(_118191 = _118187)]]], (299 ^ _108043) ^ [_118532, _118534, _118536] : [-(member(_118536, unordered_pair(_118534, _118532))), member(_118536, universal_class), 304 ^ _108043 : [(305 ^ _108043) ^ [] : [_118536 = _118534], (307 ^ _108043) ^ [] : [_118536 = _118532]]], (311 ^ _108043) ^ [_118910, _118912] : [-(member(unordered_pair(_118912, _118910), universal_class))], (313 ^ _108043) ^ [_118993] : [-(singleton(_118993) = unordered_pair(_118993, _118993))], (315 ^ _108043) ^ [_119090, _119092] : [-(ordered_pair(_119092, _119090) = unordered_pair(singleton(_119092), unordered_pair(_119092, singleton(_119090))))], (317 ^ _108043) ^ [_119269, _119271, _119273, _119275] : [member(ordered_pair(_119275, _119273), cross_product(_119271, _119269)), 320 ^ _108043 : [(321 ^ _108043) ^ [] : [-(member(_119275, _119271))], (323 ^ _108043) ^ [] : [-(member(_119273, _119269))]]], (325 ^ _108043) ^ [_119534, _119536, _119538, _119540] : [-(member(ordered_pair(_119540, _119538), cross_product(_119536, _119534))), member(_119540, _119536), member(_119538, _119534)], (335 ^ _108043) ^ [_119867, _119869] : [342 ^ _108043 : [(343 ^ _108043) ^ [] : [-(first(ordered_pair(_119869, _119867)) = _119869)], (345 ^ _108043) ^ [] : [-(second(ordered_pair(_119869, _119867)) = _119867)]], member(_119869, universal_class), member(_119867, universal_class)], (347 ^ _108043) ^ [_120275, _120277, _120279] : [member(_120275, cross_product(_120279, _120277)), -(_120275 = ordered_pair(first(_120275), second(_120275)))], (353 ^ _108043) ^ [_120540, _120542] : [member(ordered_pair(_120542, _120540), element_relation), 356 ^ _108043 : [(357 ^ _108043) ^ [] : [-(member(_120540, universal_class))], (359 ^ _108043) ^ [] : [-(member(_120542, _120540))]]], (361 ^ _108043) ^ [_120783, _120785] : [-(member(ordered_pair(_120785, _120783), element_relation)), member(_120783, universal_class), member(_120785, _120783)], (371 ^ _108043) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _108043) ^ [_121186, _121188, _121190] : [member(_121186, intersection(_121190, _121188)), 376 ^ _108043 : [(377 ^ _108043) ^ [] : [-(member(_121186, _121190))], (379 ^ _108043) ^ [] : [-(member(_121186, _121188))]]], (381 ^ _108043) ^ [_121437, _121439, _121441] : [-(member(_121437, intersection(_121441, _121439))), member(_121437, _121441), member(_121437, _121439)], (391 ^ _108043) ^ [_121783, _121785] : [member(_121783, complement(_121785)), 394 ^ _108043 : [(395 ^ _108043) ^ [] : [-(member(_121783, universal_class))], (397 ^ _108043) ^ [] : [member(_121783, _121785)]]], (399 ^ _108043) ^ [_122025, _122027] : [-(member(_122025, complement(_122027))), member(_122025, universal_class), -(member(_122025, _122027))], (409 ^ _108043) ^ [_122332, _122334, _122336] : [-(restrict(_122334, _122336, _122332) = intersection(_122334, cross_product(_122336, _122332)))], (411 ^ _108043) ^ [_122423] : [member(_122423, null_class)], (413 ^ _108043) ^ [_122559, _122561] : [member(_122559, domain_of(_122561)), 416 ^ _108043 : [(417 ^ _108043) ^ [] : [-(member(_122559, universal_class))], (419 ^ _108043) ^ [] : [restrict(_122561, singleton(_122559), universal_class) = null_class]]], (421 ^ _108043) ^ [_122813, _122815] : [-(member(_122813, domain_of(_122815))), member(_122813, universal_class), -(restrict(_122815, singleton(_122813), universal_class) = null_class)], (431 ^ _108043) ^ [_123190, _123192, _123194, _123196] : [member(ordered_pair(ordered_pair(_123194, _123192), _123190), rotate(_123196)), 434 ^ _108043 : [(435 ^ _108043) ^ [] : [-(member(ordered_pair(ordered_pair(_123194, _123192), _123190), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _108043) ^ [] : [-(member(ordered_pair(ordered_pair(_123192, _123190), _123194), _123196))]]], (439 ^ _108043) ^ [_123483, _123485, _123487, _123489] : [-(member(ordered_pair(ordered_pair(_123487, _123485), _123483), rotate(_123489))), member(ordered_pair(ordered_pair(_123487, _123485), _123483), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_123485, _123483), _123487), _123489)], (449 ^ _108043) ^ [_123815] : [-(subclass(rotate(_123815), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _108043) ^ [_123981, _123983, _123985, _123987] : [member(ordered_pair(ordered_pair(_123987, _123985), _123983), flip(_123981)), 454 ^ _108043 : [(455 ^ _108043) ^ [] : [-(member(ordered_pair(ordered_pair(_123987, _123985), _123983), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _108043) ^ [] : [-(member(ordered_pair(ordered_pair(_123985, _123987), _123983), _123981))]]], (459 ^ _108043) ^ [_124274, _124276, _124278, _124280] : [-(member(ordered_pair(ordered_pair(_124280, _124278), _124276), flip(_124274))), member(ordered_pair(ordered_pair(_124280, _124278), _124276), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_124278, _124280), _124276), _124274)], (469 ^ _108043) ^ [_124606] : [-(subclass(flip(_124606), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _108043) ^ [_125026, _125028, _125030] : [482 ^ _108043 : [(483 ^ _108043) ^ [] : [member(_125026, _125030)], (485 ^ _108043) ^ [] : [member(_125026, _125028)]], -(member(_125026, union(_125030, _125028)))], (471 ^ _108043) ^ [_124758, _124760, _124762] : [member(_124758, union(_124762, _124760)), -(member(_124758, _124762)), -(member(_124758, _124760))], (489 ^ _108043) ^ [_125297] : [-(successor(_125297) = union(_125297, singleton(_125297)))], (491 ^ _108043) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _108043) ^ [_125493, _125495] : [member(ordered_pair(_125495, _125493), successor_relation), 496 ^ _108043 : [(497 ^ _108043) ^ [] : [-(member(_125495, universal_class))], (499 ^ _108043) ^ [] : [-(member(_125493, universal_class))], (501 ^ _108043) ^ [] : [-(successor(_125495) = _125493)]]], (503 ^ _108043) ^ [_125814, _125816] : [-(member(ordered_pair(_125816, _125814), successor_relation)), member(_125816, universal_class), member(_125814, universal_class), successor(_125816) = _125814], (517 ^ _108043) ^ [_126185] : [-(inverse(_126185) = domain_of(flip(cross_product(_126185, universal_class))))], (519 ^ _108043) ^ [_126272] : [-(range_of(_126272) = domain_of(inverse(_126272)))], (521 ^ _108043) ^ [_126370, _126372] : [-(image(_126370, _126372) = range_of(restrict(_126370, _126372, universal_class)))], (523 ^ _108043) ^ [_126503] : [inductive(_126503), 526 ^ _108043 : [(527 ^ _108043) ^ [] : [-(member(null_class, _126503))], (529 ^ _108043) ^ [] : [-(subclass(image(successor_relation, _126503), _126503))]]], (531 ^ _108043) ^ [_126736] : [-(inductive(_126736)), member(null_class, _126736), subclass(image(successor_relation, _126736), _126736)], (542 ^ _108043) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _108043) ^ [] : [-(inductive(540 ^ []))], (546 ^ _108043) ^ [_127181] : [inductive(_127181), -(subclass(540 ^ [], _127181))], (552 ^ _108043) ^ [_127416, _127418] : [member(_127418, sum_class(_127416)), 556 ^ _108043 : [(557 ^ _108043) ^ [] : [-(member(_127418, 555 ^ [_127416, _127418]))], (559 ^ _108043) ^ [] : [-(member(555 ^ [_127416, _127418], _127416))]]], (561 ^ _108043) ^ [_127727, _127729] : [-(member(_127729, sum_class(_127727))), 562 ^ _108043 : [(563 ^ _108043) ^ [_127821] : [member(_127729, _127821), member(_127821, _127727)]]], (571 ^ _108043) ^ [_128081] : [member(_128081, universal_class), -(member(sum_class(_128081), universal_class))], (577 ^ _108043) ^ [_128318, _128320] : [member(_128320, power_class(_128318)), 580 ^ _108043 : [(581 ^ _108043) ^ [] : [-(member(_128320, universal_class))], (583 ^ _108043) ^ [] : [-(subclass(_128320, _128318))]]], (585 ^ _108043) ^ [_128559, _128561] : [-(member(_128561, power_class(_128559))), member(_128561, universal_class), subclass(_128561, _128559)], (595 ^ _108043) ^ [_128850] : [member(_128850, universal_class), -(member(power_class(_128850), universal_class))], (601 ^ _108043) ^ [_129043, _129045] : [-(subclass(compose(_129043, _129045), cross_product(universal_class, universal_class)))], (603 ^ _108043) ^ [_129212, _129214, _129216, _129218] : [member(ordered_pair(_129214, _129212), compose(_129216, _129218)), 606 ^ _108043 : [(607 ^ _108043) ^ [] : [-(member(_129214, universal_class))], (609 ^ _108043) ^ [] : [-(member(_129212, image(_129216, image(_129218, singleton(_129214)))))]]], (611 ^ _108043) ^ [_129493, _129495, _129497, _129499] : [-(member(ordered_pair(_129495, _129493), compose(_129497, _129499))), member(_129495, universal_class), member(_129493, image(_129497, image(_129499, singleton(_129495))))], (621 ^ _108043) ^ [_129857] : [member(_129857, identity_relation), 625 ^ _108043 : [(626 ^ _108043) ^ [] : [-(member(624 ^ [_129857], universal_class))], (628 ^ _108043) ^ [] : [-(_129857 = ordered_pair(624 ^ [_129857], 624 ^ [_129857]))]]], (630 ^ _108043) ^ [_130162] : [-(member(_130162, identity_relation)), 631 ^ _108043 : [(632 ^ _108043) ^ [_130255] : [member(_130255, universal_class), _130162 = ordered_pair(_130255, _130255)]]], (640 ^ _108043) ^ [_130538] : [function(_130538), 643 ^ _108043 : [(644 ^ _108043) ^ [] : [-(subclass(_130538, cross_product(universal_class, universal_class)))], (646 ^ _108043) ^ [] : [-(subclass(compose(_130538, inverse(_130538)), identity_relation))]]], (648 ^ _108043) ^ [_130775] : [-(function(_130775)), subclass(_130775, cross_product(universal_class, universal_class)), subclass(compose(_130775, inverse(_130775)), identity_relation)], (658 ^ _108043) ^ [_131074, _131076] : [-(member(image(_131074, _131076), universal_class)), member(_131076, universal_class), function(_131074)], (678 ^ _108043) ^ [_131721, _131723] : [680 ^ _108043 : [(681 ^ _108043) ^ [] : [-(member(679 ^ [_131721, _131723], _131723))], (683 ^ _108043) ^ [] : [-(member(679 ^ [_131721, _131723], _131721))]], -(disjoint(_131723, _131721))], (668 ^ _108043) ^ [_131406, _131408] : [disjoint(_131408, _131406), 671 ^ _108043 : [(672 ^ _108043) ^ [_131545] : [member(_131545, _131408), member(_131545, _131406)]]], (687 ^ _108043) ^ [_132069] : [-(_132069 = null_class), 691 ^ _108043 : [(692 ^ _108043) ^ [] : [-(member(690 ^ [_132069], universal_class))], (694 ^ _108043) ^ [] : [-(member(690 ^ [_132069], _132069))], (696 ^ _108043) ^ [] : [-(disjoint(690 ^ [_132069], _132069))]]], (698 ^ _108043) ^ [_132479, _132481] : [-(apply(_132481, _132479) = sum_class(image(_132481, singleton(_132479))))], (701 ^ _108043) ^ [] : [-(function(699 ^ []))], (703 ^ _108043) ^ [_132679] : [member(_132679, universal_class), -(_132679 = null_class), -(member(apply(699 ^ [], _132679), _132679))]], input).
% 23.43/23.09  ncf('1',plain,[unordered_pair(712 ^ [], 713 ^ []) = unordered_pair(713 ^ [], 712 ^ [])],start(715 ^ 0)).
% 23.43/23.09  ncf('1.1',plain,[-(unordered_pair(712 ^ [], 713 ^ []) = unordered_pair(713 ^ [], 712 ^ [])), subclass(unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])), subclass(unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ []))],extension(277 ^ 1,bind([[_117843, _117845], [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])]]))).
% 23.43/23.09  ncf('1.1.1',plain,[-(subclass(unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ []))), 261 : -(member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(712 ^ [], 713 ^ [])))],extension(258 ^ 2,bind([[_117142, _117144], [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])]]))).
% 23.43/23.09  ncf('1.1.1.1',plain,[member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(712 ^ [], 713 ^ [])), 293 : -(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])] = 712 ^ []), 293 : -(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])] = 713 ^ [])],extension(287 ^ 5,bind([[_118187, _118189, _118191], [713 ^ [], 712 ^ [], 259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.1.1.1',plain,[259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])] = 712 ^ [], -(member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(713 ^ [], 712 ^ []))), member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], universal_class)],extension(299 ^ 8,bind([[_118532, _118534, _118536], [712 ^ [], 713 ^ [], 259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.1.1.1.1',plain,[member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(713 ^ [], 712 ^ []))],extension(263 ^ 9)).
% 23.43/23.09  ncf('1.1.1.1.1.2',plain,[-(member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], universal_class))],extension(291 ^ 9)).
% 23.43/23.09  ncf('1.1.1.1.2',plain,[259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])] = 713 ^ [], -(member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(713 ^ [], 712 ^ []))), member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], universal_class)],extension(299 ^ 8,bind([[_118532, _118534, _118536], [712 ^ [], 713 ^ [], 259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.1.1.2.1',plain,[member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], unordered_pair(713 ^ [], 712 ^ []))],extension(263 ^ 9)).
% 23.43/23.09  ncf('1.1.1.1.2.2',plain,[-(member(259 ^ [unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ [])], universal_class))],extension(291 ^ 9)).
% 23.43/23.09  ncf('1.1.2',plain,[-(subclass(unordered_pair(713 ^ [], 712 ^ []), unordered_pair(712 ^ [], 713 ^ []))), 261 : -(member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(713 ^ [], 712 ^ [])))],extension(258 ^ 2,bind([[_117142, _117144], [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])]]))).
% 23.43/23.09  ncf('1.1.2.1',plain,[member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(713 ^ [], 712 ^ [])), 293 : -(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])] = 713 ^ []), 293 : -(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])] = 712 ^ [])],extension(287 ^ 5,bind([[_118187, _118189, _118191], [712 ^ [], 713 ^ [], 259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.2.1.1',plain,[259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])] = 713 ^ [], -(member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(712 ^ [], 713 ^ []))), member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], universal_class)],extension(299 ^ 8,bind([[_118532, _118534, _118536], [713 ^ [], 712 ^ [], 259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.2.1.1.1',plain,[member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(712 ^ [], 713 ^ []))],extension(263 ^ 9)).
% 23.43/23.09  ncf('1.1.2.1.1.2',plain,[-(member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], universal_class))],extension(291 ^ 9)).
% 23.43/23.09  ncf('1.1.2.1.2',plain,[259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])] = 712 ^ [], -(member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(712 ^ [], 713 ^ []))), member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], universal_class)],extension(299 ^ 8,bind([[_118532, _118534, _118536], [713 ^ [], 712 ^ [], 259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])]]]))).
% 23.43/23.09  ncf('1.1.2.1.2.1',plain,[member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], unordered_pair(712 ^ [], 713 ^ []))],extension(263 ^ 9)).
% 23.43/23.09  ncf('1.1.2.1.2.2',plain,[-(member(259 ^ [unordered_pair(712 ^ [], 713 ^ []), unordered_pair(713 ^ [], 712 ^ [])], universal_class))],extension(291 ^ 9)).
% 23.43/23.09  %-----------------------------------------------------
% 23.43/23.09  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------