%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 11:55:26 EDT 2023

% Result   : Theorem 102.93s 99.60s
% Output   : Proof 102.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.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 18:54:02 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 102.93/99.60  
% 102.93/99.60  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 102.93/99.60  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.93/99.60  %-----------------------------------------------------
% 102.93/99.60  ncf(matrix, plain, [(714 ^ _104255) ^ [] : [-(ordered_pair(first(712 ^ []), second(712 ^ [])) = 712 ^ [])], (716 ^ _104255) ^ [] : [member(712 ^ [], universal_class)], (2 ^ _104255) ^ [_104399] : [-(_104399 = _104399)], (4 ^ _104255) ^ [_104506, _104508] : [_104508 = _104506, -(_104506 = _104508)], (10 ^ _104255) ^ [_104710, _104712, _104714] : [-(_104714 = _104710), _104714 = _104712, _104712 = _104710], (20 ^ _104255) ^ [_105023, _105025] : [-(inductive(_105023)), _105025 = _105023, inductive(_105025)], (30 ^ _104255) ^ [_105346, _105348, _105350, _105352] : [-(subclass(_105350, _105346)), subclass(_105352, _105348), _105352 = _105350, _105348 = _105346], (44 ^ _104255) ^ [_105790, _105792, _105794, _105796] : [-(disjoint(_105794, _105790)), disjoint(_105796, _105792), _105796 = _105794, _105792 = _105790], (58 ^ _104255) ^ [_106206, _106208] : [-(function(_106206)), _106208 = _106206, function(_106208)], (68 ^ _104255) ^ [_106509, _106511, _106513, _106515] : [-(member(_106513, _106509)), member(_106515, _106511), _106515 = _106513, _106511 = _106509], (82 ^ _104255) ^ [_106967, _106969, _106971, _106973] : [-(unordered_pair(_106973, _106969) = unordered_pair(_106971, _106967)), _106973 = _106971, _106969 = _106967], (92 ^ _104255) ^ [_107298, _107300] : [_107300 = _107298, -(complement(_107300) = complement(_107298))], (98 ^ _104255) ^ [_107544, _107546, _107548, _107550] : [-(intersection(_107550, _107546) = intersection(_107548, _107544)), _107550 = _107548, _107546 = _107544], (108 ^ _104255) ^ [_107875, _107877] : [_107877 = _107875, -(rotate(_107877) = rotate(_107875))], (114 ^ _104255) ^ [_108121, _108123, _108125, _108127] : [-(union(_108127, _108123) = union(_108125, _108121)), _108127 = _108125, _108123 = _108121], (124 ^ _104255) ^ [_108452, _108454] : [_108454 = _108452, -(successor(_108454) = successor(_108452))], (130 ^ _104255) ^ [_108670, _108672] : [_108672 = _108670, -(flip(_108672) = flip(_108670))], (136 ^ _104255) ^ [_108888, _108890] : [_108890 = _108888, -(domain_of(_108890) = domain_of(_108888))], (142 ^ _104255) ^ [_109106, _109108] : [_109108 = _109106, -(range_of(_109108) = range_of(_109106))], (148 ^ _104255) ^ [_109380, _109382, _109384, _109386, _109388, _109390] : [-(restrict(_109390, _109386, _109382) = restrict(_109388, _109384, _109380)), _109390 = _109388, _109386 = _109384, _109382 = _109380], (162 ^ _104255) ^ [_109840, _109842] : [_109842 = _109840, -(power_class(_109842) = power_class(_109840))], (168 ^ _104255) ^ [_110086, _110088, _110090, _110092] : [-(cross_product(_110092, _110088) = cross_product(_110090, _110086)), _110092 = _110090, _110088 = _110086], (178 ^ _104255) ^ [_110445, _110447, _110449, _110451] : [-(compose(_110451, _110447) = compose(_110449, _110445)), _110451 = _110449, _110447 = _110445], (188 ^ _104255) ^ [_110776, _110778] : [_110778 = _110776, -(inverse(_110778) = inverse(_110776))], (194 ^ _104255) ^ [_110994, _110996] : [_110996 = _110994, -(sum_class(_110996) = sum_class(_110994))], (200 ^ _104255) ^ [_111240, _111242, _111244, _111246] : [-(image(_111246, _111242) = image(_111244, _111240)), _111246 = _111244, _111242 = _111240], (210 ^ _104255) ^ [_111571, _111573] : [_111573 = _111571, -(singleton(_111573) = singleton(_111571))], (216 ^ _104255) ^ [_111817, _111819, _111821, _111823] : [-(apply(_111823, _111819) = apply(_111821, _111817)), _111823 = _111821, _111819 = _111817], (226 ^ _104255) ^ [_112176, _112178, _112180, _112182] : [-(ordered_pair(_112182, _112178) = ordered_pair(_112180, _112176)), _112182 = _112180, _112178 = _112176], (236 ^ _104255) ^ [_112507, _112509] : [_112509 = _112507, -(first(_112509) = first(_112507))], (242 ^ _104255) ^ [_112705, _112707] : [_112707 = _112705, -(second(_112707) = second(_112705))], (258 ^ _104255) ^ [_113354, _113356] : [260 ^ _104255 : [(261 ^ _104255) ^ [] : [-(member(259 ^ [_113354, _113356], _113356))], (263 ^ _104255) ^ [] : [member(259 ^ [_113354, _113356], _113354)]], -(subclass(_113356, _113354))], (248 ^ _104255) ^ [_113040, _113042] : [subclass(_113042, _113040), 251 ^ _104255 : [(252 ^ _104255) ^ [_113177] : [member(_113177, _113042), -(member(_113177, _113040))]]], (267 ^ _104255) ^ [_113682] : [-(subclass(_113682, universal_class))], (269 ^ _104255) ^ [_113818, _113820] : [_113820 = _113818, 272 ^ _104255 : [(273 ^ _104255) ^ [] : [-(subclass(_113820, _113818))], (275 ^ _104255) ^ [] : [-(subclass(_113818, _113820))]]], (277 ^ _104255) ^ [_114055, _114057] : [-(_114057 = _114055), subclass(_114057, _114055), subclass(_114055, _114057)], (287 ^ _104255) ^ [_114399, _114401, _114403] : [member(_114403, unordered_pair(_114401, _114399)), 290 ^ _104255 : [(291 ^ _104255) ^ [] : [-(member(_114403, universal_class))], (293 ^ _104255) ^ [] : [-(_114403 = _114401), -(_114403 = _114399)]]], (299 ^ _104255) ^ [_114744, _114746, _114748] : [-(member(_114748, unordered_pair(_114746, _114744))), member(_114748, universal_class), 304 ^ _104255 : [(305 ^ _104255) ^ [] : [_114748 = _114746], (307 ^ _104255) ^ [] : [_114748 = _114744]]], (311 ^ _104255) ^ [_115122, _115124] : [-(member(unordered_pair(_115124, _115122), universal_class))], (313 ^ _104255) ^ [_115205] : [-(singleton(_115205) = unordered_pair(_115205, _115205))], (315 ^ _104255) ^ [_115302, _115304] : [-(ordered_pair(_115304, _115302) = unordered_pair(singleton(_115304), unordered_pair(_115304, singleton(_115302))))], (317 ^ _104255) ^ [_115481, _115483, _115485, _115487] : [member(ordered_pair(_115487, _115485), cross_product(_115483, _115481)), 320 ^ _104255 : [(321 ^ _104255) ^ [] : [-(member(_115487, _115483))], (323 ^ _104255) ^ [] : [-(member(_115485, _115481))]]], (325 ^ _104255) ^ [_115746, _115748, _115750, _115752] : [-(member(ordered_pair(_115752, _115750), cross_product(_115748, _115746))), member(_115752, _115748), member(_115750, _115746)], (335 ^ _104255) ^ [_116079, _116081] : [342 ^ _104255 : [(343 ^ _104255) ^ [] : [-(first(ordered_pair(_116081, _116079)) = _116081)], (345 ^ _104255) ^ [] : [-(second(ordered_pair(_116081, _116079)) = _116079)]], member(_116081, universal_class), member(_116079, universal_class)], (347 ^ _104255) ^ [_116487, _116489, _116491] : [member(_116487, cross_product(_116491, _116489)), -(_116487 = ordered_pair(first(_116487), second(_116487)))], (353 ^ _104255) ^ [_116752, _116754] : [member(ordered_pair(_116754, _116752), element_relation), 356 ^ _104255 : [(357 ^ _104255) ^ [] : [-(member(_116752, universal_class))], (359 ^ _104255) ^ [] : [-(member(_116754, _116752))]]], (361 ^ _104255) ^ [_116995, _116997] : [-(member(ordered_pair(_116997, _116995), element_relation)), member(_116995, universal_class), member(_116997, _116995)], (371 ^ _104255) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _104255) ^ [_117398, _117400, _117402] : [member(_117398, intersection(_117402, _117400)), 376 ^ _104255 : [(377 ^ _104255) ^ [] : [-(member(_117398, _117402))], (379 ^ _104255) ^ [] : [-(member(_117398, _117400))]]], (381 ^ _104255) ^ [_117649, _117651, _117653] : [-(member(_117649, intersection(_117653, _117651))), member(_117649, _117653), member(_117649, _117651)], (391 ^ _104255) ^ [_117995, _117997] : [member(_117995, complement(_117997)), 394 ^ _104255 : [(395 ^ _104255) ^ [] : [-(member(_117995, universal_class))], (397 ^ _104255) ^ [] : [member(_117995, _117997)]]], (399 ^ _104255) ^ [_118237, _118239] : [-(member(_118237, complement(_118239))), member(_118237, universal_class), -(member(_118237, _118239))], (409 ^ _104255) ^ [_118544, _118546, _118548] : [-(restrict(_118546, _118548, _118544) = intersection(_118546, cross_product(_118548, _118544)))], (411 ^ _104255) ^ [_118635] : [member(_118635, null_class)], (413 ^ _104255) ^ [_118771, _118773] : [member(_118771, domain_of(_118773)), 416 ^ _104255 : [(417 ^ _104255) ^ [] : [-(member(_118771, universal_class))], (419 ^ _104255) ^ [] : [restrict(_118773, singleton(_118771), universal_class) = null_class]]], (421 ^ _104255) ^ [_119025, _119027] : [-(member(_119025, domain_of(_119027))), member(_119025, universal_class), -(restrict(_119027, singleton(_119025), universal_class) = null_class)], (431 ^ _104255) ^ [_119402, _119404, _119406, _119408] : [member(ordered_pair(ordered_pair(_119406, _119404), _119402), rotate(_119408)), 434 ^ _104255 : [(435 ^ _104255) ^ [] : [-(member(ordered_pair(ordered_pair(_119406, _119404), _119402), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _104255) ^ [] : [-(member(ordered_pair(ordered_pair(_119404, _119402), _119406), _119408))]]], (439 ^ _104255) ^ [_119695, _119697, _119699, _119701] : [-(member(ordered_pair(ordered_pair(_119699, _119697), _119695), rotate(_119701))), member(ordered_pair(ordered_pair(_119699, _119697), _119695), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_119697, _119695), _119699), _119701)], (449 ^ _104255) ^ [_120027] : [-(subclass(rotate(_120027), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _104255) ^ [_120193, _120195, _120197, _120199] : [member(ordered_pair(ordered_pair(_120199, _120197), _120195), flip(_120193)), 454 ^ _104255 : [(455 ^ _104255) ^ [] : [-(member(ordered_pair(ordered_pair(_120199, _120197), _120195), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _104255) ^ [] : [-(member(ordered_pair(ordered_pair(_120197, _120199), _120195), _120193))]]], (459 ^ _104255) ^ [_120486, _120488, _120490, _120492] : [-(member(ordered_pair(ordered_pair(_120492, _120490), _120488), flip(_120486))), member(ordered_pair(ordered_pair(_120492, _120490), _120488), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_120490, _120492), _120488), _120486)], (469 ^ _104255) ^ [_120818] : [-(subclass(flip(_120818), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _104255) ^ [_121238, _121240, _121242] : [482 ^ _104255 : [(483 ^ _104255) ^ [] : [member(_121238, _121242)], (485 ^ _104255) ^ [] : [member(_121238, _121240)]], -(member(_121238, union(_121242, _121240)))], (471 ^ _104255) ^ [_120970, _120972, _120974] : [member(_120970, union(_120974, _120972)), -(member(_120970, _120974)), -(member(_120970, _120972))], (489 ^ _104255) ^ [_121509] : [-(successor(_121509) = union(_121509, singleton(_121509)))], (491 ^ _104255) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _104255) ^ [_121705, _121707] : [member(ordered_pair(_121707, _121705), successor_relation), 496 ^ _104255 : [(497 ^ _104255) ^ [] : [-(member(_121707, universal_class))], (499 ^ _104255) ^ [] : [-(member(_121705, universal_class))], (501 ^ _104255) ^ [] : [-(successor(_121707) = _121705)]]], (503 ^ _104255) ^ [_122026, _122028] : [-(member(ordered_pair(_122028, _122026), successor_relation)), member(_122028, universal_class), member(_122026, universal_class), successor(_122028) = _122026], (517 ^ _104255) ^ [_122397] : [-(inverse(_122397) = domain_of(flip(cross_product(_122397, universal_class))))], (519 ^ _104255) ^ [_122484] : [-(range_of(_122484) = domain_of(inverse(_122484)))], (521 ^ _104255) ^ [_122582, _122584] : [-(image(_122582, _122584) = range_of(restrict(_122582, _122584, universal_class)))], (523 ^ _104255) ^ [_122715] : [inductive(_122715), 526 ^ _104255 : [(527 ^ _104255) ^ [] : [-(member(null_class, _122715))], (529 ^ _104255) ^ [] : [-(subclass(image(successor_relation, _122715), _122715))]]], (531 ^ _104255) ^ [_122948] : [-(inductive(_122948)), member(null_class, _122948), subclass(image(successor_relation, _122948), _122948)], (542 ^ _104255) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _104255) ^ [] : [-(inductive(540 ^ []))], (546 ^ _104255) ^ [_123393] : [inductive(_123393), -(subclass(540 ^ [], _123393))], (552 ^ _104255) ^ [_123628, _123630] : [member(_123630, sum_class(_123628)), 556 ^ _104255 : [(557 ^ _104255) ^ [] : [-(member(_123630, 555 ^ [_123628, _123630]))], (559 ^ _104255) ^ [] : [-(member(555 ^ [_123628, _123630], _123628))]]], (561 ^ _104255) ^ [_123939, _123941] : [-(member(_123941, sum_class(_123939))), 562 ^ _104255 : [(563 ^ _104255) ^ [_124033] : [member(_123941, _124033), member(_124033, _123939)]]], (571 ^ _104255) ^ [_124293] : [member(_124293, universal_class), -(member(sum_class(_124293), universal_class))], (577 ^ _104255) ^ [_124530, _124532] : [member(_124532, power_class(_124530)), 580 ^ _104255 : [(581 ^ _104255) ^ [] : [-(member(_124532, universal_class))], (583 ^ _104255) ^ [] : [-(subclass(_124532, _124530))]]], (585 ^ _104255) ^ [_124771, _124773] : [-(member(_124773, power_class(_124771))), member(_124773, universal_class), subclass(_124773, _124771)], (595 ^ _104255) ^ [_125062] : [member(_125062, universal_class), -(member(power_class(_125062), universal_class))], (601 ^ _104255) ^ [_125255, _125257] : [-(subclass(compose(_125255, _125257), cross_product(universal_class, universal_class)))], (603 ^ _104255) ^ [_125424, _125426, _125428, _125430] : [member(ordered_pair(_125426, _125424), compose(_125428, _125430)), 606 ^ _104255 : [(607 ^ _104255) ^ [] : [-(member(_125426, universal_class))], (609 ^ _104255) ^ [] : [-(member(_125424, image(_125428, image(_125430, singleton(_125426)))))]]], (611 ^ _104255) ^ [_125705, _125707, _125709, _125711] : [-(member(ordered_pair(_125707, _125705), compose(_125709, _125711))), member(_125707, universal_class), member(_125705, image(_125709, image(_125711, singleton(_125707))))], (621 ^ _104255) ^ [_126069] : [member(_126069, identity_relation), 625 ^ _104255 : [(626 ^ _104255) ^ [] : [-(member(624 ^ [_126069], universal_class))], (628 ^ _104255) ^ [] : [-(_126069 = ordered_pair(624 ^ [_126069], 624 ^ [_126069]))]]], (630 ^ _104255) ^ [_126374] : [-(member(_126374, identity_relation)), 631 ^ _104255 : [(632 ^ _104255) ^ [_126467] : [member(_126467, universal_class), _126374 = ordered_pair(_126467, _126467)]]], (640 ^ _104255) ^ [_126750] : [function(_126750), 643 ^ _104255 : [(644 ^ _104255) ^ [] : [-(subclass(_126750, cross_product(universal_class, universal_class)))], (646 ^ _104255) ^ [] : [-(subclass(compose(_126750, inverse(_126750)), identity_relation))]]], (648 ^ _104255) ^ [_126987] : [-(function(_126987)), subclass(_126987, cross_product(universal_class, universal_class)), subclass(compose(_126987, inverse(_126987)), identity_relation)], (658 ^ _104255) ^ [_127286, _127288] : [-(member(image(_127286, _127288), universal_class)), member(_127288, universal_class), function(_127286)], (678 ^ _104255) ^ [_127933, _127935] : [680 ^ _104255 : [(681 ^ _104255) ^ [] : [-(member(679 ^ [_127933, _127935], _127935))], (683 ^ _104255) ^ [] : [-(member(679 ^ [_127933, _127935], _127933))]], -(disjoint(_127935, _127933))], (668 ^ _104255) ^ [_127618, _127620] : [disjoint(_127620, _127618), 671 ^ _104255 : [(672 ^ _104255) ^ [_127757] : [member(_127757, _127620), member(_127757, _127618)]]], (687 ^ _104255) ^ [_128281] : [-(_128281 = null_class), 691 ^ _104255 : [(692 ^ _104255) ^ [] : [-(member(690 ^ [_128281], universal_class))], (694 ^ _104255) ^ [] : [-(member(690 ^ [_128281], _128281))], (696 ^ _104255) ^ [] : [-(disjoint(690 ^ [_128281], _128281))]]], (698 ^ _104255) ^ [_128691, _128693] : [-(apply(_128693, _128691) = sum_class(image(_128693, singleton(_128691))))], (701 ^ _104255) ^ [] : [-(function(699 ^ []))], (703 ^ _104255) ^ [_128891] : [member(_128891, universal_class), -(_128891 = null_class), -(member(apply(699 ^ [], _128891), _128891))]], input).
% 102.93/99.60  ncf('1',plain,[member(712 ^ [], universal_class)],start(716 ^ 0)).
% 102.93/99.60  ncf('1.1',plain,[-(member(712 ^ [], universal_class)), member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class), unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = 712 ^ [], universal_class = universal_class],extension(68 ^ 1,bind([[_106509, _106511, _106513, _106515], [universal_class, universal_class, 712 ^ [], unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))]]))).
% 102.93/99.60  ncf('1.1.1',plain,[-(member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class)), member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class), unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class = universal_class],extension(68 ^ 2,bind([[_106509, _106511, _106513, _106515], [universal_class, universal_class, unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))]]))).
% 102.93/99.60  ncf('1.1.1.1',plain,[-(member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class)), member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class), unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class = universal_class],extension(68 ^ 3,bind([[_106509, _106511, _106513, _106515], [universal_class, universal_class, unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))]]))).
% 102.93/99.60  ncf('1.1.1.1.1',plain,[-(member(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), universal_class))],extension(311 ^ 4,bind([[_115122, _115124], [unordered_pair(first(712 ^ []), singleton(second(712 ^ []))), singleton(first(712 ^ []))]]))).
% 102.93/99.60  ncf('1.1.1.1.2',plain,[-(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))))],extension(2 ^ 4,bind([[_104399], [unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))]]))).
% 102.93/99.60  ncf('1.1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 4,bind([[_104399], [universal_class]]))).
% 102.93/99.60  ncf('1.1.1.2',plain,[-(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))))],extension(2 ^ 3,bind([[_104399], [unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))]]))).
% 102.93/99.60  ncf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 3,bind([[_104399], [universal_class]]))).
% 102.93/99.60  ncf('1.1.2',plain,[-(unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))) = 712 ^ []), 712 ^ [] = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))],extension(4 ^ 2,bind([[_104506, _104508], [unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), 712 ^ []]]))).
% 102.93/99.60  ncf('1.1.2.1',plain,[-(712 ^ [] = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))), 712 ^ [] = ordered_pair(first(712 ^ []), second(712 ^ [])), ordered_pair(first(712 ^ []), second(712 ^ [])) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ []))))],extension(10 ^ 3,bind([[_104710, _104712, _104714], [unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))), ordered_pair(first(712 ^ []), second(712 ^ [])), 712 ^ []]]))).
% 102.93/99.60  ncf('1.1.2.1.1',plain,[-(712 ^ [] = ordered_pair(first(712 ^ []), second(712 ^ []))), ordered_pair(first(712 ^ []), second(712 ^ [])) = 712 ^ []],extension(4 ^ 4,bind([[_104506, _104508], [712 ^ [], ordered_pair(first(712 ^ []), second(712 ^ []))]]))).
% 102.93/99.60  ncf('1.1.2.1.1.1',plain,[-(ordered_pair(first(712 ^ []), second(712 ^ [])) = 712 ^ [])],extension(714 ^ 5)).
% 102.93/99.60  ncf('1.1.2.1.2',plain,[-(ordered_pair(first(712 ^ []), second(712 ^ [])) = unordered_pair(singleton(first(712 ^ [])), unordered_pair(first(712 ^ []), singleton(second(712 ^ [])))))],extension(315 ^ 4,bind([[_115302, _115304], [second(712 ^ []), first(712 ^ [])]]))).
% 102.93/99.60  ncf('1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 2,bind([[_104399], [universal_class]]))).
% 102.93/99.60  %-----------------------------------------------------
% 102.93/99.60  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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