TSTP Solution File: SET025+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:55:07 EDT 2023

% Result   : Theorem 0.41s 1.37s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 19:35:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.41/1.37  
% 0.41/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  ncf(matrix, plain, [(715 ^ _103353) ^ [] : [member(ordered_pair(712 ^ [], 713 ^ []), universal_class)], (2 ^ _103353) ^ [_103497] : [-(_103497 = _103497)], (4 ^ _103353) ^ [_103604, _103606] : [_103606 = _103604, -(_103604 = _103606)], (10 ^ _103353) ^ [_103808, _103810, _103812] : [-(_103812 = _103808), _103812 = _103810, _103810 = _103808], (20 ^ _103353) ^ [_104121, _104123] : [-(inductive(_104121)), _104123 = _104121, inductive(_104123)], (30 ^ _103353) ^ [_104444, _104446, _104448, _104450] : [-(subclass(_104448, _104444)), subclass(_104450, _104446), _104450 = _104448, _104446 = _104444], (44 ^ _103353) ^ [_104888, _104890, _104892, _104894] : [-(disjoint(_104892, _104888)), disjoint(_104894, _104890), _104894 = _104892, _104890 = _104888], (58 ^ _103353) ^ [_105304, _105306] : [-(function(_105304)), _105306 = _105304, function(_105306)], (68 ^ _103353) ^ [_105607, _105609, _105611, _105613] : [-(member(_105611, _105607)), member(_105613, _105609), _105613 = _105611, _105609 = _105607], (82 ^ _103353) ^ [_106065, _106067, _106069, _106071] : [-(unordered_pair(_106071, _106067) = unordered_pair(_106069, _106065)), _106071 = _106069, _106067 = _106065], (92 ^ _103353) ^ [_106396, _106398] : [_106398 = _106396, -(first(_106398) = first(_106396))], (98 ^ _103353) ^ [_106614, _106616] : [_106616 = _106614, -(second(_106616) = second(_106614))], (104 ^ _103353) ^ [_106832, _106834] : [_106834 = _106832, -(complement(_106834) = complement(_106832))], (110 ^ _103353) ^ [_107078, _107080, _107082, _107084] : [-(intersection(_107084, _107080) = intersection(_107082, _107078)), _107084 = _107082, _107080 = _107078], (120 ^ _103353) ^ [_107409, _107411] : [_107411 = _107409, -(rotate(_107411) = rotate(_107409))], (126 ^ _103353) ^ [_107655, _107657, _107659, _107661] : [-(union(_107661, _107657) = union(_107659, _107655)), _107661 = _107659, _107657 = _107655], (136 ^ _103353) ^ [_107986, _107988] : [_107988 = _107986, -(successor(_107988) = successor(_107986))], (142 ^ _103353) ^ [_108204, _108206] : [_108206 = _108204, -(flip(_108206) = flip(_108204))], (148 ^ _103353) ^ [_108422, _108424] : [_108424 = _108422, -(domain_of(_108424) = domain_of(_108422))], (154 ^ _103353) ^ [_108640, _108642] : [_108642 = _108640, -(range_of(_108642) = range_of(_108640))], (160 ^ _103353) ^ [_108914, _108916, _108918, _108920, _108922, _108924] : [-(restrict(_108924, _108920, _108916) = restrict(_108922, _108918, _108914)), _108924 = _108922, _108920 = _108918, _108916 = _108914], (174 ^ _103353) ^ [_109374, _109376] : [_109376 = _109374, -(power_class(_109376) = power_class(_109374))], (180 ^ _103353) ^ [_109620, _109622, _109624, _109626] : [-(cross_product(_109626, _109622) = cross_product(_109624, _109620)), _109626 = _109624, _109622 = _109620], (190 ^ _103353) ^ [_109979, _109981, _109983, _109985] : [-(compose(_109985, _109981) = compose(_109983, _109979)), _109985 = _109983, _109981 = _109979], (200 ^ _103353) ^ [_110310, _110312] : [_110312 = _110310, -(inverse(_110312) = inverse(_110310))], (206 ^ _103353) ^ [_110528, _110530] : [_110530 = _110528, -(sum_class(_110530) = sum_class(_110528))], (212 ^ _103353) ^ [_110774, _110776, _110778, _110780] : [-(image(_110780, _110776) = image(_110778, _110774)), _110780 = _110778, _110776 = _110774], (222 ^ _103353) ^ [_111105, _111107] : [_111107 = _111105, -(singleton(_111107) = singleton(_111105))], (228 ^ _103353) ^ [_111351, _111353, _111355, _111357] : [-(apply(_111357, _111353) = apply(_111355, _111351)), _111357 = _111355, _111353 = _111351], (238 ^ _103353) ^ [_111690, _111692, _111694, _111696] : [-(ordered_pair(_111696, _111692) = ordered_pair(_111694, _111690)), _111696 = _111694, _111692 = _111690], (258 ^ _103353) ^ [_112452, _112454] : [260 ^ _103353 : [(261 ^ _103353) ^ [] : [-(member(259 ^ [_112452, _112454], _112454))], (263 ^ _103353) ^ [] : [member(259 ^ [_112452, _112454], _112452)]], -(subclass(_112454, _112452))], (248 ^ _103353) ^ [_112138, _112140] : [subclass(_112140, _112138), 251 ^ _103353 : [(252 ^ _103353) ^ [_112275] : [member(_112275, _112140), -(member(_112275, _112138))]]], (267 ^ _103353) ^ [_112780] : [-(subclass(_112780, universal_class))], (269 ^ _103353) ^ [_112916, _112918] : [_112918 = _112916, 272 ^ _103353 : [(273 ^ _103353) ^ [] : [-(subclass(_112918, _112916))], (275 ^ _103353) ^ [] : [-(subclass(_112916, _112918))]]], (277 ^ _103353) ^ [_113153, _113155] : [-(_113155 = _113153), subclass(_113155, _113153), subclass(_113153, _113155)], (287 ^ _103353) ^ [_113497, _113499, _113501] : [member(_113501, unordered_pair(_113499, _113497)), 290 ^ _103353 : [(291 ^ _103353) ^ [] : [-(member(_113501, universal_class))], (293 ^ _103353) ^ [] : [-(_113501 = _113499), -(_113501 = _113497)]]], (299 ^ _103353) ^ [_113842, _113844, _113846] : [-(member(_113846, unordered_pair(_113844, _113842))), member(_113846, universal_class), 304 ^ _103353 : [(305 ^ _103353) ^ [] : [_113846 = _113844], (307 ^ _103353) ^ [] : [_113846 = _113842]]], (311 ^ _103353) ^ [_114220, _114222] : [-(member(unordered_pair(_114222, _114220), universal_class))], (313 ^ _103353) ^ [_114303] : [-(singleton(_114303) = unordered_pair(_114303, _114303))], (315 ^ _103353) ^ [_114400, _114402] : [-(ordered_pair(_114402, _114400) = unordered_pair(singleton(_114402), unordered_pair(_114402, singleton(_114400))))], (317 ^ _103353) ^ [_114579, _114581, _114583, _114585] : [member(ordered_pair(_114585, _114583), cross_product(_114581, _114579)), 320 ^ _103353 : [(321 ^ _103353) ^ [] : [-(member(_114585, _114581))], (323 ^ _103353) ^ [] : [-(member(_114583, _114579))]]], (325 ^ _103353) ^ [_114844, _114846, _114848, _114850] : [-(member(ordered_pair(_114850, _114848), cross_product(_114846, _114844))), member(_114850, _114846), member(_114848, _114844)], (335 ^ _103353) ^ [_115177, _115179] : [342 ^ _103353 : [(343 ^ _103353) ^ [] : [-(first(ordered_pair(_115179, _115177)) = _115179)], (345 ^ _103353) ^ [] : [-(second(ordered_pair(_115179, _115177)) = _115177)]], member(_115179, universal_class), member(_115177, universal_class)], (347 ^ _103353) ^ [_115585, _115587, _115589] : [member(_115585, cross_product(_115589, _115587)), -(_115585 = ordered_pair(first(_115585), second(_115585)))], (353 ^ _103353) ^ [_115850, _115852] : [member(ordered_pair(_115852, _115850), element_relation), 356 ^ _103353 : [(357 ^ _103353) ^ [] : [-(member(_115850, universal_class))], (359 ^ _103353) ^ [] : [-(member(_115852, _115850))]]], (361 ^ _103353) ^ [_116093, _116095] : [-(member(ordered_pair(_116095, _116093), element_relation)), member(_116093, universal_class), member(_116095, _116093)], (371 ^ _103353) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _103353) ^ [_116496, _116498, _116500] : [member(_116496, intersection(_116500, _116498)), 376 ^ _103353 : [(377 ^ _103353) ^ [] : [-(member(_116496, _116500))], (379 ^ _103353) ^ [] : [-(member(_116496, _116498))]]], (381 ^ _103353) ^ [_116747, _116749, _116751] : [-(member(_116747, intersection(_116751, _116749))), member(_116747, _116751), member(_116747, _116749)], (391 ^ _103353) ^ [_117093, _117095] : [member(_117093, complement(_117095)), 394 ^ _103353 : [(395 ^ _103353) ^ [] : [-(member(_117093, universal_class))], (397 ^ _103353) ^ [] : [member(_117093, _117095)]]], (399 ^ _103353) ^ [_117335, _117337] : [-(member(_117335, complement(_117337))), member(_117335, universal_class), -(member(_117335, _117337))], (409 ^ _103353) ^ [_117642, _117644, _117646] : [-(restrict(_117644, _117646, _117642) = intersection(_117644, cross_product(_117646, _117642)))], (411 ^ _103353) ^ [_117733] : [member(_117733, null_class)], (413 ^ _103353) ^ [_117869, _117871] : [member(_117869, domain_of(_117871)), 416 ^ _103353 : [(417 ^ _103353) ^ [] : [-(member(_117869, universal_class))], (419 ^ _103353) ^ [] : [restrict(_117871, singleton(_117869), universal_class) = null_class]]], (421 ^ _103353) ^ [_118123, _118125] : [-(member(_118123, domain_of(_118125))), member(_118123, universal_class), -(restrict(_118125, singleton(_118123), universal_class) = null_class)], (431 ^ _103353) ^ [_118500, _118502, _118504, _118506] : [member(ordered_pair(ordered_pair(_118504, _118502), _118500), rotate(_118506)), 434 ^ _103353 : [(435 ^ _103353) ^ [] : [-(member(ordered_pair(ordered_pair(_118504, _118502), _118500), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _103353) ^ [] : [-(member(ordered_pair(ordered_pair(_118502, _118500), _118504), _118506))]]], (439 ^ _103353) ^ [_118793, _118795, _118797, _118799] : [-(member(ordered_pair(ordered_pair(_118797, _118795), _118793), rotate(_118799))), member(ordered_pair(ordered_pair(_118797, _118795), _118793), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_118795, _118793), _118797), _118799)], (449 ^ _103353) ^ [_119125] : [-(subclass(rotate(_119125), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _103353) ^ [_119291, _119293, _119295, _119297] : [member(ordered_pair(ordered_pair(_119297, _119295), _119293), flip(_119291)), 454 ^ _103353 : [(455 ^ _103353) ^ [] : [-(member(ordered_pair(ordered_pair(_119297, _119295), _119293), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _103353) ^ [] : [-(member(ordered_pair(ordered_pair(_119295, _119297), _119293), _119291))]]], (459 ^ _103353) ^ [_119584, _119586, _119588, _119590] : [-(member(ordered_pair(ordered_pair(_119590, _119588), _119586), flip(_119584))), member(ordered_pair(ordered_pair(_119590, _119588), _119586), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_119588, _119590), _119586), _119584)], (469 ^ _103353) ^ [_119916] : [-(subclass(flip(_119916), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _103353) ^ [_120336, _120338, _120340] : [482 ^ _103353 : [(483 ^ _103353) ^ [] : [member(_120336, _120340)], (485 ^ _103353) ^ [] : [member(_120336, _120338)]], -(member(_120336, union(_120340, _120338)))], (471 ^ _103353) ^ [_120068, _120070, _120072] : [member(_120068, union(_120072, _120070)), -(member(_120068, _120072)), -(member(_120068, _120070))], (489 ^ _103353) ^ [_120607] : [-(successor(_120607) = union(_120607, singleton(_120607)))], (491 ^ _103353) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _103353) ^ [_120803, _120805] : [member(ordered_pair(_120805, _120803), successor_relation), 496 ^ _103353 : [(497 ^ _103353) ^ [] : [-(member(_120805, universal_class))], (499 ^ _103353) ^ [] : [-(member(_120803, universal_class))], (501 ^ _103353) ^ [] : [-(successor(_120805) = _120803)]]], (503 ^ _103353) ^ [_121124, _121126] : [-(member(ordered_pair(_121126, _121124), successor_relation)), member(_121126, universal_class), member(_121124, universal_class), successor(_121126) = _121124], (517 ^ _103353) ^ [_121495] : [-(inverse(_121495) = domain_of(flip(cross_product(_121495, universal_class))))], (519 ^ _103353) ^ [_121582] : [-(range_of(_121582) = domain_of(inverse(_121582)))], (521 ^ _103353) ^ [_121680, _121682] : [-(image(_121680, _121682) = range_of(restrict(_121680, _121682, universal_class)))], (523 ^ _103353) ^ [_121813] : [inductive(_121813), 526 ^ _103353 : [(527 ^ _103353) ^ [] : [-(member(null_class, _121813))], (529 ^ _103353) ^ [] : [-(subclass(image(successor_relation, _121813), _121813))]]], (531 ^ _103353) ^ [_122046] : [-(inductive(_122046)), member(null_class, _122046), subclass(image(successor_relation, _122046), _122046)], (542 ^ _103353) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _103353) ^ [] : [-(inductive(540 ^ []))], (546 ^ _103353) ^ [_122491] : [inductive(_122491), -(subclass(540 ^ [], _122491))], (552 ^ _103353) ^ [_122726, _122728] : [member(_122728, sum_class(_122726)), 556 ^ _103353 : [(557 ^ _103353) ^ [] : [-(member(_122728, 555 ^ [_122726, _122728]))], (559 ^ _103353) ^ [] : [-(member(555 ^ [_122726, _122728], _122726))]]], (561 ^ _103353) ^ [_123037, _123039] : [-(member(_123039, sum_class(_123037))), 562 ^ _103353 : [(563 ^ _103353) ^ [_123131] : [member(_123039, _123131), member(_123131, _123037)]]], (571 ^ _103353) ^ [_123391] : [member(_123391, universal_class), -(member(sum_class(_123391), universal_class))], (577 ^ _103353) ^ [_123628, _123630] : [member(_123630, power_class(_123628)), 580 ^ _103353 : [(581 ^ _103353) ^ [] : [-(member(_123630, universal_class))], (583 ^ _103353) ^ [] : [-(subclass(_123630, _123628))]]], (585 ^ _103353) ^ [_123869, _123871] : [-(member(_123871, power_class(_123869))), member(_123871, universal_class), subclass(_123871, _123869)], (595 ^ _103353) ^ [_124160] : [member(_124160, universal_class), -(member(power_class(_124160), universal_class))], (601 ^ _103353) ^ [_124353, _124355] : [-(subclass(compose(_124353, _124355), cross_product(universal_class, universal_class)))], (603 ^ _103353) ^ [_124522, _124524, _124526, _124528] : [member(ordered_pair(_124524, _124522), compose(_124526, _124528)), 606 ^ _103353 : [(607 ^ _103353) ^ [] : [-(member(_124524, universal_class))], (609 ^ _103353) ^ [] : [-(member(_124522, image(_124526, image(_124528, singleton(_124524)))))]]], (611 ^ _103353) ^ [_124803, _124805, _124807, _124809] : [-(member(ordered_pair(_124805, _124803), compose(_124807, _124809))), member(_124805, universal_class), member(_124803, image(_124807, image(_124809, singleton(_124805))))], (621 ^ _103353) ^ [_125167] : [member(_125167, identity_relation), 625 ^ _103353 : [(626 ^ _103353) ^ [] : [-(member(624 ^ [_125167], universal_class))], (628 ^ _103353) ^ [] : [-(_125167 = ordered_pair(624 ^ [_125167], 624 ^ [_125167]))]]], (630 ^ _103353) ^ [_125472] : [-(member(_125472, identity_relation)), 631 ^ _103353 : [(632 ^ _103353) ^ [_125565] : [member(_125565, universal_class), _125472 = ordered_pair(_125565, _125565)]]], (640 ^ _103353) ^ [_125848] : [function(_125848), 643 ^ _103353 : [(644 ^ _103353) ^ [] : [-(subclass(_125848, cross_product(universal_class, universal_class)))], (646 ^ _103353) ^ [] : [-(subclass(compose(_125848, inverse(_125848)), identity_relation))]]], (648 ^ _103353) ^ [_126085] : [-(function(_126085)), subclass(_126085, cross_product(universal_class, universal_class)), subclass(compose(_126085, inverse(_126085)), identity_relation)], (658 ^ _103353) ^ [_126384, _126386] : [-(member(image(_126384, _126386), universal_class)), member(_126386, universal_class), function(_126384)], (678 ^ _103353) ^ [_127031, _127033] : [680 ^ _103353 : [(681 ^ _103353) ^ [] : [-(member(679 ^ [_127031, _127033], _127033))], (683 ^ _103353) ^ [] : [-(member(679 ^ [_127031, _127033], _127031))]], -(disjoint(_127033, _127031))], (668 ^ _103353) ^ [_126716, _126718] : [disjoint(_126718, _126716), 671 ^ _103353 : [(672 ^ _103353) ^ [_126855] : [member(_126855, _126718), member(_126855, _126716)]]], (687 ^ _103353) ^ [_127379] : [-(_127379 = null_class), 691 ^ _103353 : [(692 ^ _103353) ^ [] : [-(member(690 ^ [_127379], universal_class))], (694 ^ _103353) ^ [] : [-(member(690 ^ [_127379], _127379))], (696 ^ _103353) ^ [] : [-(disjoint(690 ^ [_127379], _127379))]]], (698 ^ _103353) ^ [_127789, _127791] : [-(apply(_127791, _127789) = sum_class(image(_127791, singleton(_127789))))], (701 ^ _103353) ^ [] : [-(function(699 ^ []))], (703 ^ _103353) ^ [_127989] : [member(_127989, universal_class), -(_127989 = null_class), -(member(apply(699 ^ [], _127989), _127989))]], input).
% 0.41/1.37  ncf('1',plain,[member(ordered_pair(712 ^ [], 713 ^ []), universal_class)],start(715 ^ 0)).
% 0.41/1.37  ncf('1.1',plain,[-(member(ordered_pair(712 ^ [], 713 ^ []), universal_class)), member(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), universal_class), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = ordered_pair(712 ^ [], 713 ^ []), universal_class = universal_class],extension(68 ^ 1,bind([[_105607, _105609, _105611, _105613], [universal_class, universal_class, ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]))).
% 0.41/1.37  ncf('1.1.1',plain,[-(member(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), universal_class)), member(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), universal_class), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), universal_class = universal_class],extension(68 ^ 2,bind([[_105607, _105609, _105611, _105613], [universal_class, universal_class, unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]))).
% 0.41/1.37  ncf('1.1.1.1',plain,[-(member(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), universal_class))],extension(311 ^ 3,bind([[_114220, _114222], [unordered_pair(712 ^ [], singleton(713 ^ [])), singleton(712 ^ [])]]))).
% 0.41/1.37  ncf('1.1.1.2',plain,[-(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))],extension(2 ^ 3,bind([[_103497], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]))).
% 0.41/1.37  ncf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 3,bind([[_103497], [universal_class]]))).
% 0.41/1.37  ncf('1.1.2',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 ^ 2,bind([[_103604, _103606], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), ordered_pair(712 ^ [], 713 ^ [])]]))).
% 0.41/1.37  ncf('1.1.2.1',plain,[-(ordered_pair(712 ^ [], 713 ^ []) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))],extension(315 ^ 3,bind([[_114400, _114402], [713 ^ [], 712 ^ []]]))).
% 0.41/1.37  ncf('1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 2,bind([[_103497], [universal_class]]))).
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------