%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 11:55:21 EDT 2023

% Result   : Theorem 126.11s 122.32s
% Output   : Proof 126.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n017.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 18:20:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 126.11/122.32  
% 126.11/122.32  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 126.11/122.32  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.11/122.32  %-----------------------------------------------------
% 126.11/122.32  ncf(matrix, plain, [(744 ^ _109009) ^ [] : [-(singleton(member_of(742 ^ [])) = 742 ^ [])], (746 ^ _109009) ^ [] : [member(742 ^ [], universal_class)], (2 ^ _109009) ^ [_109153] : [-(_109153 = _109153)], (4 ^ _109009) ^ [_109260, _109262] : [_109262 = _109260, -(_109260 = _109262)], (10 ^ _109009) ^ [_109464, _109466, _109468] : [-(_109468 = _109464), _109468 = _109466, _109466 = _109464], (20 ^ _109009) ^ [_109777, _109779] : [-(inductive(_109777)), _109779 = _109777, inductive(_109779)], (30 ^ _109009) ^ [_110100, _110102, _110104, _110106] : [-(subclass(_110104, _110100)), subclass(_110106, _110102), _110106 = _110104, _110102 = _110100], (44 ^ _109009) ^ [_110544, _110546, _110548, _110550] : [-(disjoint(_110548, _110544)), disjoint(_110550, _110546), _110550 = _110548, _110546 = _110544], (58 ^ _109009) ^ [_110960, _110962] : [-(function(_110960)), _110962 = _110960, function(_110962)], (68 ^ _109009) ^ [_111263, _111265, _111267, _111269] : [-(member(_111267, _111263)), member(_111269, _111265), _111269 = _111267, _111265 = _111263], (82 ^ _109009) ^ [_111721, _111723, _111725, _111727] : [-(unordered_pair(_111727, _111723) = unordered_pair(_111725, _111721)), _111727 = _111725, _111723 = _111721], (92 ^ _109009) ^ [_112052, _112054] : [_112054 = _112052, -(first(_112054) = first(_112052))], (98 ^ _109009) ^ [_112270, _112272] : [_112272 = _112270, -(second(_112272) = second(_112270))], (104 ^ _109009) ^ [_112488, _112490] : [_112490 = _112488, -(complement(_112490) = complement(_112488))], (110 ^ _109009) ^ [_112734, _112736, _112738, _112740] : [-(intersection(_112740, _112736) = intersection(_112738, _112734)), _112740 = _112738, _112736 = _112734], (120 ^ _109009) ^ [_113065, _113067] : [_113067 = _113065, -(rotate(_113067) = rotate(_113065))], (126 ^ _109009) ^ [_113311, _113313, _113315, _113317] : [-(union(_113317, _113313) = union(_113315, _113311)), _113317 = _113315, _113313 = _113311], (136 ^ _109009) ^ [_113642, _113644] : [_113644 = _113642, -(successor(_113644) = successor(_113642))], (142 ^ _109009) ^ [_113860, _113862] : [_113862 = _113860, -(flip(_113862) = flip(_113860))], (148 ^ _109009) ^ [_114078, _114080] : [_114080 = _114078, -(domain_of(_114080) = domain_of(_114078))], (154 ^ _109009) ^ [_114296, _114298] : [_114298 = _114296, -(range_of(_114298) = range_of(_114296))], (160 ^ _109009) ^ [_114570, _114572, _114574, _114576, _114578, _114580] : [-(restrict(_114580, _114576, _114572) = restrict(_114578, _114574, _114570)), _114580 = _114578, _114576 = _114574, _114572 = _114570], (174 ^ _109009) ^ [_115030, _115032] : [_115032 = _115030, -(power_class(_115032) = power_class(_115030))], (180 ^ _109009) ^ [_115276, _115278, _115280, _115282] : [-(ordered_pair(_115282, _115278) = ordered_pair(_115280, _115276)), _115282 = _115280, _115278 = _115276], (190 ^ _109009) ^ [_115635, _115637, _115639, _115641] : [-(cross_product(_115641, _115637) = cross_product(_115639, _115635)), _115641 = _115639, _115637 = _115635], (200 ^ _109009) ^ [_115994, _115996, _115998, _116000] : [-(compose(_116000, _115996) = compose(_115998, _115994)), _116000 = _115998, _115996 = _115994], (210 ^ _109009) ^ [_116325, _116327] : [_116327 = _116325, -(inverse(_116327) = inverse(_116325))], (216 ^ _109009) ^ [_116543, _116545] : [_116545 = _116543, -(sum_class(_116545) = sum_class(_116543))], (222 ^ _109009) ^ [_116789, _116791, _116793, _116795] : [-(image(_116795, _116791) = image(_116793, _116789)), _116795 = _116793, _116791 = _116789], (232 ^ _109009) ^ [_117148, _117150, _117152, _117154] : [-(apply(_117154, _117150) = apply(_117152, _117148)), _117154 = _117152, _117150 = _117148], (242 ^ _109009) ^ [_117479, _117481] : [_117481 = _117479, -(singleton(_117481) = singleton(_117479))], (248 ^ _109009) ^ [_117677, _117679] : [_117679 = _117677, -(member_of(_117679) = member_of(_117677))], (719 ^ _109009) ^ [_134403] : [member(_134403, universal_class), -(member(member_of(singleton(_134403)), universal_class))], (725 ^ _109009) ^ [_134601] : [member(_134601, universal_class), -(singleton(member_of(singleton(_134601))) = singleton(_134601))], (731 ^ _109009) ^ [_134807] : [-(member(member_of(_134807), universal_class)), -(member_of(_134807) = _134807)], (737 ^ _109009) ^ [_134986] : [-(singleton(member_of(_134986)) = _134986), -(member_of(_134986) = _134986)], (264 ^ _109009) ^ [_118348, _118350] : [266 ^ _109009 : [(267 ^ _109009) ^ [] : [-(member(265 ^ [_118348, _118350], _118350))], (269 ^ _109009) ^ [] : [member(265 ^ [_118348, _118350], _118348)]], -(subclass(_118350, _118348))], (254 ^ _109009) ^ [_118034, _118036] : [subclass(_118036, _118034), 257 ^ _109009 : [(258 ^ _109009) ^ [_118171] : [member(_118171, _118036), -(member(_118171, _118034))]]], (273 ^ _109009) ^ [_118676] : [-(subclass(_118676, universal_class))], (275 ^ _109009) ^ [_118812, _118814] : [_118814 = _118812, 278 ^ _109009 : [(279 ^ _109009) ^ [] : [-(subclass(_118814, _118812))], (281 ^ _109009) ^ [] : [-(subclass(_118812, _118814))]]], (283 ^ _109009) ^ [_119049, _119051] : [-(_119051 = _119049), subclass(_119051, _119049), subclass(_119049, _119051)], (293 ^ _109009) ^ [_119393, _119395, _119397] : [member(_119397, unordered_pair(_119395, _119393)), 296 ^ _109009 : [(297 ^ _109009) ^ [] : [-(member(_119397, universal_class))], (299 ^ _109009) ^ [] : [-(_119397 = _119395), -(_119397 = _119393)]]], (305 ^ _109009) ^ [_119738, _119740, _119742] : [-(member(_119742, unordered_pair(_119740, _119738))), member(_119742, universal_class), 310 ^ _109009 : [(311 ^ _109009) ^ [] : [_119742 = _119740], (313 ^ _109009) ^ [] : [_119742 = _119738]]], (317 ^ _109009) ^ [_120116, _120118] : [-(member(unordered_pair(_120118, _120116), universal_class))], (319 ^ _109009) ^ [_120199] : [-(singleton(_120199) = unordered_pair(_120199, _120199))], (321 ^ _109009) ^ [_120296, _120298] : [-(ordered_pair(_120298, _120296) = unordered_pair(singleton(_120298), unordered_pair(_120298, singleton(_120296))))], (323 ^ _109009) ^ [_120475, _120477, _120479, _120481] : [member(ordered_pair(_120481, _120479), cross_product(_120477, _120475)), 326 ^ _109009 : [(327 ^ _109009) ^ [] : [-(member(_120481, _120477))], (329 ^ _109009) ^ [] : [-(member(_120479, _120475))]]], (331 ^ _109009) ^ [_120740, _120742, _120744, _120746] : [-(member(ordered_pair(_120746, _120744), cross_product(_120742, _120740))), member(_120746, _120742), member(_120744, _120740)], (341 ^ _109009) ^ [_121073, _121075] : [348 ^ _109009 : [(349 ^ _109009) ^ [] : [-(first(ordered_pair(_121075, _121073)) = _121075)], (351 ^ _109009) ^ [] : [-(second(ordered_pair(_121075, _121073)) = _121073)]], member(_121075, universal_class), member(_121073, universal_class)], (353 ^ _109009) ^ [_121481, _121483, _121485] : [member(_121481, cross_product(_121485, _121483)), -(_121481 = ordered_pair(first(_121481), second(_121481)))], (359 ^ _109009) ^ [_121746, _121748] : [member(ordered_pair(_121748, _121746), element_relation), 362 ^ _109009 : [(363 ^ _109009) ^ [] : [-(member(_121746, universal_class))], (365 ^ _109009) ^ [] : [-(member(_121748, _121746))]]], (367 ^ _109009) ^ [_121989, _121991] : [-(member(ordered_pair(_121991, _121989), element_relation)), member(_121989, universal_class), member(_121991, _121989)], (377 ^ _109009) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (379 ^ _109009) ^ [_122392, _122394, _122396] : [member(_122392, intersection(_122396, _122394)), 382 ^ _109009 : [(383 ^ _109009) ^ [] : [-(member(_122392, _122396))], (385 ^ _109009) ^ [] : [-(member(_122392, _122394))]]], (387 ^ _109009) ^ [_122643, _122645, _122647] : [-(member(_122643, intersection(_122647, _122645))), member(_122643, _122647), member(_122643, _122645)], (397 ^ _109009) ^ [_122989, _122991] : [member(_122989, complement(_122991)), 400 ^ _109009 : [(401 ^ _109009) ^ [] : [-(member(_122989, universal_class))], (403 ^ _109009) ^ [] : [member(_122989, _122991)]]], (405 ^ _109009) ^ [_123231, _123233] : [-(member(_123231, complement(_123233))), member(_123231, universal_class), -(member(_123231, _123233))], (415 ^ _109009) ^ [_123538, _123540, _123542] : [-(restrict(_123540, _123542, _123538) = intersection(_123540, cross_product(_123542, _123538)))], (417 ^ _109009) ^ [_123629] : [member(_123629, null_class)], (419 ^ _109009) ^ [_123765, _123767] : [member(_123765, domain_of(_123767)), 422 ^ _109009 : [(423 ^ _109009) ^ [] : [-(member(_123765, universal_class))], (425 ^ _109009) ^ [] : [restrict(_123767, singleton(_123765), universal_class) = null_class]]], (427 ^ _109009) ^ [_124019, _124021] : [-(member(_124019, domain_of(_124021))), member(_124019, universal_class), -(restrict(_124021, singleton(_124019), universal_class) = null_class)], (437 ^ _109009) ^ [_124396, _124398, _124400, _124402] : [member(ordered_pair(ordered_pair(_124400, _124398), _124396), rotate(_124402)), 440 ^ _109009 : [(441 ^ _109009) ^ [] : [-(member(ordered_pair(ordered_pair(_124400, _124398), _124396), cross_product(cross_product(universal_class, universal_class), universal_class)))], (443 ^ _109009) ^ [] : [-(member(ordered_pair(ordered_pair(_124398, _124396), _124400), _124402))]]], (445 ^ _109009) ^ [_124689, _124691, _124693, _124695] : [-(member(ordered_pair(ordered_pair(_124693, _124691), _124689), rotate(_124695))), member(ordered_pair(ordered_pair(_124693, _124691), _124689), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_124691, _124689), _124693), _124695)], (455 ^ _109009) ^ [_125021] : [-(subclass(rotate(_125021), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _109009) ^ [_125187, _125189, _125191, _125193] : [member(ordered_pair(ordered_pair(_125193, _125191), _125189), flip(_125187)), 460 ^ _109009 : [(461 ^ _109009) ^ [] : [-(member(ordered_pair(ordered_pair(_125193, _125191), _125189), cross_product(cross_product(universal_class, universal_class), universal_class)))], (463 ^ _109009) ^ [] : [-(member(ordered_pair(ordered_pair(_125191, _125193), _125189), _125187))]]], (465 ^ _109009) ^ [_125480, _125482, _125484, _125486] : [-(member(ordered_pair(ordered_pair(_125486, _125484), _125482), flip(_125480))), member(ordered_pair(ordered_pair(_125486, _125484), _125482), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_125484, _125486), _125482), _125480)], (475 ^ _109009) ^ [_125812] : [-(subclass(flip(_125812), cross_product(cross_product(universal_class, universal_class), universal_class)))], (487 ^ _109009) ^ [_126232, _126234, _126236] : [488 ^ _109009 : [(489 ^ _109009) ^ [] : [member(_126232, _126236)], (491 ^ _109009) ^ [] : [member(_126232, _126234)]], -(member(_126232, union(_126236, _126234)))], (477 ^ _109009) ^ [_125964, _125966, _125968] : [member(_125964, union(_125968, _125966)), -(member(_125964, _125968)), -(member(_125964, _125966))], (495 ^ _109009) ^ [_126503] : [-(successor(_126503) = union(_126503, singleton(_126503)))], (497 ^ _109009) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (499 ^ _109009) ^ [_126699, _126701] : [member(ordered_pair(_126701, _126699), successor_relation), 502 ^ _109009 : [(503 ^ _109009) ^ [] : [-(member(_126701, universal_class))], (505 ^ _109009) ^ [] : [-(member(_126699, universal_class))], (507 ^ _109009) ^ [] : [-(successor(_126701) = _126699)]]], (509 ^ _109009) ^ [_127020, _127022] : [-(member(ordered_pair(_127022, _127020), successor_relation)), member(_127022, universal_class), member(_127020, universal_class), successor(_127022) = _127020], (523 ^ _109009) ^ [_127391] : [-(inverse(_127391) = domain_of(flip(cross_product(_127391, universal_class))))], (525 ^ _109009) ^ [_127478] : [-(range_of(_127478) = domain_of(inverse(_127478)))], (527 ^ _109009) ^ [_127576, _127578] : [-(image(_127576, _127578) = range_of(restrict(_127576, _127578, universal_class)))], (529 ^ _109009) ^ [_127709] : [inductive(_127709), 532 ^ _109009 : [(533 ^ _109009) ^ [] : [-(member(null_class, _127709))], (535 ^ _109009) ^ [] : [-(subclass(image(successor_relation, _127709), _127709))]]], (537 ^ _109009) ^ [_127942] : [-(inductive(_127942)), member(null_class, _127942), subclass(image(successor_relation, _127942), _127942)], (548 ^ _109009) ^ [] : [-(member(546 ^ [], universal_class))], (550 ^ _109009) ^ [] : [-(inductive(546 ^ []))], (552 ^ _109009) ^ [_128387] : [inductive(_128387), -(subclass(546 ^ [], _128387))], (558 ^ _109009) ^ [_128622, _128624] : [member(_128624, sum_class(_128622)), 562 ^ _109009 : [(563 ^ _109009) ^ [] : [-(member(_128624, 561 ^ [_128622, _128624]))], (565 ^ _109009) ^ [] : [-(member(561 ^ [_128622, _128624], _128622))]]], (567 ^ _109009) ^ [_128933, _128935] : [-(member(_128935, sum_class(_128933))), 568 ^ _109009 : [(569 ^ _109009) ^ [_129027] : [member(_128935, _129027), member(_129027, _128933)]]], (577 ^ _109009) ^ [_129287] : [member(_129287, universal_class), -(member(sum_class(_129287), universal_class))], (583 ^ _109009) ^ [_129524, _129526] : [member(_129526, power_class(_129524)), 586 ^ _109009 : [(587 ^ _109009) ^ [] : [-(member(_129526, universal_class))], (589 ^ _109009) ^ [] : [-(subclass(_129526, _129524))]]], (591 ^ _109009) ^ [_129765, _129767] : [-(member(_129767, power_class(_129765))), member(_129767, universal_class), subclass(_129767, _129765)], (601 ^ _109009) ^ [_130056] : [member(_130056, universal_class), -(member(power_class(_130056), universal_class))], (607 ^ _109009) ^ [_130249, _130251] : [-(subclass(compose(_130249, _130251), cross_product(universal_class, universal_class)))], (609 ^ _109009) ^ [_130418, _130420, _130422, _130424] : [member(ordered_pair(_130420, _130418), compose(_130422, _130424)), 612 ^ _109009 : [(613 ^ _109009) ^ [] : [-(member(_130420, universal_class))], (615 ^ _109009) ^ [] : [-(member(_130418, image(_130422, image(_130424, singleton(_130420)))))]]], (617 ^ _109009) ^ [_130699, _130701, _130703, _130705] : [-(member(ordered_pair(_130701, _130699), compose(_130703, _130705))), member(_130701, universal_class), member(_130699, image(_130703, image(_130705, singleton(_130701))))], (627 ^ _109009) ^ [_131063] : [member(_131063, identity_relation), 631 ^ _109009 : [(632 ^ _109009) ^ [] : [-(member(630 ^ [_131063], universal_class))], (634 ^ _109009) ^ [] : [-(_131063 = ordered_pair(630 ^ [_131063], 630 ^ [_131063]))]]], (636 ^ _109009) ^ [_131368] : [-(member(_131368, identity_relation)), 637 ^ _109009 : [(638 ^ _109009) ^ [_131461] : [member(_131461, universal_class), _131368 = ordered_pair(_131461, _131461)]]], (646 ^ _109009) ^ [_131744] : [function(_131744), 649 ^ _109009 : [(650 ^ _109009) ^ [] : [-(subclass(_131744, cross_product(universal_class, universal_class)))], (652 ^ _109009) ^ [] : [-(subclass(compose(_131744, inverse(_131744)), identity_relation))]]], (654 ^ _109009) ^ [_131981] : [-(function(_131981)), subclass(_131981, cross_product(universal_class, universal_class)), subclass(compose(_131981, inverse(_131981)), identity_relation)], (664 ^ _109009) ^ [_132280, _132282] : [-(member(image(_132280, _132282), universal_class)), member(_132282, universal_class), function(_132280)], (684 ^ _109009) ^ [_132927, _132929] : [686 ^ _109009 : [(687 ^ _109009) ^ [] : [-(member(685 ^ [_132927, _132929], _132929))], (689 ^ _109009) ^ [] : [-(member(685 ^ [_132927, _132929], _132927))]], -(disjoint(_132929, _132927))], (674 ^ _109009) ^ [_132612, _132614] : [disjoint(_132614, _132612), 677 ^ _109009 : [(678 ^ _109009) ^ [_132751] : [member(_132751, _132614), member(_132751, _132612)]]], (693 ^ _109009) ^ [_133275] : [-(_133275 = null_class), 697 ^ _109009 : [(698 ^ _109009) ^ [] : [-(member(696 ^ [_133275], universal_class))], (700 ^ _109009) ^ [] : [-(member(696 ^ [_133275], _133275))], (702 ^ _109009) ^ [] : [-(disjoint(696 ^ [_133275], _133275))]]], (704 ^ _109009) ^ [_133685, _133687] : [-(apply(_133687, _133685) = sum_class(image(_133687, singleton(_133685))))], (707 ^ _109009) ^ [] : [-(function(705 ^ []))], (709 ^ _109009) ^ [_133885] : [member(_133885, universal_class), -(_133885 = null_class), -(member(apply(705 ^ [], _133885), _133885))]], input).
% 126.11/122.32  ncf('1',plain,[member(742 ^ [], universal_class)],start(746 ^ 0)).
% 126.11/122.32  ncf('1.1',plain,[-(member(742 ^ [], universal_class)), member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class), unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = 742 ^ [], universal_class = universal_class],extension(68 ^ 1,bind([[_111263, _111265, _111267, _111269], [universal_class, universal_class, 742 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.1',plain,[-(member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class)), member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class), unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class = universal_class],extension(68 ^ 2,bind([[_111263, _111265, _111267, _111269], [universal_class, universal_class, unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), unordered_pair(member_of(742 ^ []), member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.1.1',plain,[-(member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class)), member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class), unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class = universal_class],extension(68 ^ 3,bind([[_111263, _111265, _111267, _111269], [universal_class, universal_class, unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), unordered_pair(member_of(742 ^ []), member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.1.1.1',plain,[-(member(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), universal_class))],extension(317 ^ 4,bind([[_120116, _120118], [member_of(742 ^ []), member_of(742 ^ [])]]))).
% 126.11/122.32  ncf('1.1.1.1.2',plain,[-(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))],extension(2 ^ 4,bind([[_109153], [unordered_pair(member_of(742 ^ []), member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 4,bind([[_109153], [universal_class]]))).
% 126.11/122.32  ncf('1.1.1.2',plain,[-(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))],extension(2 ^ 3,bind([[_109153], [unordered_pair(member_of(742 ^ []), member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 3,bind([[_109153], [universal_class]]))).
% 126.11/122.32  ncf('1.1.2',plain,[-(unordered_pair(member_of(742 ^ []), member_of(742 ^ [])) = 742 ^ []), 742 ^ [] = unordered_pair(member_of(742 ^ []), member_of(742 ^ []))],extension(4 ^ 2,bind([[_109260, _109262], [unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), 742 ^ []]]))).
% 126.11/122.32  ncf('1.1.2.1',plain,[-(742 ^ [] = unordered_pair(member_of(742 ^ []), member_of(742 ^ []))), 742 ^ [] = singleton(member_of(742 ^ [])), singleton(member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ []))],extension(10 ^ 3,bind([[_109464, _109466, _109468], [unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), singleton(member_of(742 ^ [])), 742 ^ []]]))).
% 126.11/122.32  ncf('1.1.2.1.1',plain,[-(742 ^ [] = singleton(member_of(742 ^ []))), singleton(member_of(742 ^ [])) = 742 ^ []],extension(4 ^ 4,bind([[_109260, _109262], [742 ^ [], singleton(member_of(742 ^ []))]]))).
% 126.11/122.32  ncf('1.1.2.1.1.1',plain,[-(singleton(member_of(742 ^ [])) = 742 ^ [])],extension(744 ^ 5)).
% 126.11/122.32  ncf('1.1.2.1.2',plain,[-(singleton(member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))],extension(319 ^ 4,bind([[_120199], [member_of(742 ^ [])]]))).
% 126.11/122.32  ncf('1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 2,bind([[_109153], [universal_class]]))).
% 126.11/122.32  %-----------------------------------------------------
% 126.11/122.32  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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