%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET094+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:55:22 EDT 2023

% Result   : Theorem 222.76s 215.44s
% Output   : Proof 222.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET094+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 19:33:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 222.76/215.44  
% 222.76/215.44  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 222.76/215.44  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 222.76/215.44  %-----------------------------------------------------
% 222.76/215.44  ncf(matrix, plain, [(747 ^ _148835) ^ [] : [-(member(743 ^ [], 742 ^ []))], (749 ^ _148835) ^ [] : [member_of(742 ^ []) = 743 ^ []], (745 ^ _148835) ^ [] : [-(singleton(member_of(742 ^ [])) = 742 ^ [])], !, (4 ^ _122567) ^ [_122798, _122800] : [_122800 = _122798, -(_122798 = _122800)], (30 ^ _122567) ^ [_123638, _123640, _123642, _123644] : [-(subclass(_123642, _123638)), subclass(_123644, _123640), _123644 = _123642, _123640 = _123638], (126 ^ _122567) ^ [_126849, _126851, _126853, _126855] : [-(union(_126855, _126851) = union(_126853, _126849)), _126855 = _126853, _126851 = _126849], (317 ^ _122567) ^ [_133654, _133656] : [-(member(unordered_pair(_133656, _133654), universal_class))], (707 ^ _122567) ^ [] : [-(function(705 ^ []))], (684 ^ _122567) ^ [_146465, _146467] : [686 ^ _122567 : [(689 ^ _122567) ^ [] : [-(member(685 ^ [_146465, _146467], _146465))], (687 ^ _122567) ^ [] : [-(member(685 ^ [_146465, _146467], _146467))]], -(disjoint(_146467, _146465))], (709 ^ _122567) ^ [_147423] : [member(_147423, universal_class), -(_147423 = null_class), -(member(apply(705 ^ [], _147423), _147423))], (2 ^ _122567) ^ [_122691] : [-(_122691 = _122691)], (529 ^ _122567) ^ [_141247] : [inductive(_141247), 532 ^ _122567 : [(535 ^ _122567) ^ [] : [-(subclass(image(successor_relation, _141247), _141247))], (533 ^ _122567) ^ [] : [-(member(null_class, _141247))]]], (437 ^ _122567) ^ [_137934, _137936, _137938, _137940] : [member(ordered_pair(ordered_pair(_137938, _137936), _137934), rotate(_137940)), 440 ^ _122567 : [(443 ^ _122567) ^ [] : [-(member(ordered_pair(ordered_pair(_137936, _137934), _137938), _137940))], (441 ^ _122567) ^ [] : [-(member(ordered_pair(ordered_pair(_137938, _137936), _137934), cross_product(cross_product(universal_class, universal_class), universal_class)))]]], (525 ^ _122567) ^ [_141016] : [-(range_of(_141016) = domain_of(inverse(_141016)))], (273 ^ _122567) ^ [_132214] : [-(subclass(_132214, universal_class))], (293 ^ _122567) ^ [_132931, _132933, _132935] : [member(_132935, unordered_pair(_132933, _132931)), 296 ^ _122567 : [(299 ^ _122567) ^ [] : [-(_132935 = _132933), -(_132935 = _132931)], (297 ^ _122567) ^ [] : [-(member(_132935, universal_class))]]], (499 ^ _122567) ^ [_140237, _140239] : [member(ordered_pair(_140239, _140237), successor_relation), 502 ^ _122567 : [(505 ^ _122567) ^ [] : [-(member(_140237, universal_class))], (507 ^ _122567) ^ [] : [-(successor(_140239) = _140237)], (503 ^ _122567) ^ [] : [-(member(_140239, universal_class))]]], (495 ^ _122567) ^ [_140041] : [-(successor(_140041) = union(_140041, singleton(_140041)))], (20 ^ _122567) ^ [_123315, _123317] : [-(inductive(_123315)), _123317 = _123315, inductive(_123317)], (654 ^ _122567) ^ [_145519] : [-(function(_145519)), subclass(_145519, cross_product(universal_class, universal_class)), subclass(compose(_145519, inverse(_145519)), identity_relation)], (445 ^ _122567) ^ [_138227, _138229, _138231, _138233] : [-(member(ordered_pair(ordered_pair(_138231, _138229), _138227), rotate(_138233))), member(ordered_pair(ordered_pair(_138231, _138229), _138227), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_138229, _138227), _138231), _138233)], (367 ^ _122567) ^ [_135527, _135529] : [-(member(ordered_pair(_135529, _135527), element_relation)), member(_135527, universal_class), member(_135529, _135527)], (174 ^ _122567) ^ [_128568, _128570] : [_128570 = _128568, -(power_class(_128570) = power_class(_128568))], (465 ^ _122567) ^ [_139018, _139020, _139022, _139024] : [-(member(ordered_pair(ordered_pair(_139024, _139022), _139020), flip(_139018))), member(ordered_pair(ordered_pair(_139024, _139022), _139020), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_139022, _139024), _139020), _139018)], (283 ^ _122567) ^ [_132587, _132589] : [-(_132589 = _132587), subclass(_132589, _132587), subclass(_132587, _132589)], (725 ^ _122567) ^ [_148139] : [member(_148139, universal_class), -(singleton(member_of(singleton(_148139))) = singleton(_148139))], (242 ^ _122567) ^ [_131017, _131019] : [_131019 = _131017, -(singleton(_131019) = singleton(_131017))], (110 ^ _122567) ^ [_126272, _126274, _126276, _126278] : [-(intersection(_126278, _126274) = intersection(_126276, _126272)), _126278 = _126276, _126274 = _126272], (379 ^ _122567) ^ [_135930, _135932, _135934] : [member(_135930, intersection(_135934, _135932)), 382 ^ _122567 : [(385 ^ _122567) ^ [] : [-(member(_135930, _135932))], (383 ^ _122567) ^ [] : [-(member(_135930, _135934))]]], (617 ^ _122567) ^ [_144237, _144239, _144241, _144243] : [-(member(ordered_pair(_144239, _144237), compose(_144241, _144243))), member(_144239, universal_class), member(_144237, image(_144241, image(_144243, singleton(_144239))))], (190 ^ _122567) ^ [_129173, _129175, _129177, _129179] : [-(cross_product(_129179, _129175) = cross_product(_129177, _129173)), _129179 = _129177, _129175 = _129173], (319 ^ _122567) ^ [_133737] : [-(singleton(_133737) = unordered_pair(_133737, _133737))], (321 ^ _122567) ^ [_133834, _133836] : [-(ordered_pair(_133836, _133834) = unordered_pair(singleton(_133836), unordered_pair(_133836, singleton(_133834))))], (353 ^ _122567) ^ [_135019, _135021, _135023] : [member(_135019, cross_product(_135023, _135021)), -(_135019 = ordered_pair(first(_135019), second(_135019)))], (693 ^ _122567) ^ [_146813] : [-(_146813 = null_class), 697 ^ _122567 : [(700 ^ _122567) ^ [] : [-(member(696 ^ [_146813], _146813))], (702 ^ _122567) ^ [] : [-(disjoint(696 ^ [_146813], _146813))], (698 ^ _122567) ^ [] : [-(member(696 ^ [_146813], universal_class))]]], (419 ^ _122567) ^ [_137303, _137305] : [member(_137303, domain_of(_137305)), 422 ^ _122567 : [(425 ^ _122567) ^ [] : [restrict(_137305, singleton(_137303), universal_class) = null_class], (423 ^ _122567) ^ [] : [-(member(_137303, universal_class))]]], (527 ^ _122567) ^ [_141114, _141116] : [-(image(_141114, _141116) = range_of(restrict(_141114, _141116, universal_class)))], (341 ^ _122567) ^ [_134611, _134613] : [348 ^ _122567 : [(351 ^ _122567) ^ [] : [-(second(ordered_pair(_134613, _134611)) = _134611)], (349 ^ _122567) ^ [] : [-(first(ordered_pair(_134613, _134611)) = _134613)]], member(_134613, universal_class), member(_134611, universal_class)], (216 ^ _122567) ^ [_130081, _130083] : [_130083 = _130081, -(sum_class(_130083) = sum_class(_130081))], (331 ^ _122567) ^ [_134278, _134280, _134282, _134284] : [-(member(ordered_pair(_134284, _134282), cross_product(_134280, _134278))), member(_134284, _134280), member(_134282, _134278)], (609 ^ _122567) ^ [_143956, _143958, _143960, _143962] : [member(ordered_pair(_143958, _143956), compose(_143960, _143962)), 612 ^ _122567 : [(615 ^ _122567) ^ [] : [-(member(_143956, image(_143960, image(_143962, singleton(_143958)))))], (613 ^ _122567) ^ [] : [-(member(_143958, universal_class))]]], (591 ^ _122567) ^ [_143303, _143305] : [-(member(_143305, power_class(_143303))), member(_143305, universal_class), subclass(_143305, _143303)], (44 ^ _122567) ^ [_124082, _124084, _124086, _124088] : [-(disjoint(_124086, _124082)), disjoint(_124088, _124084), _124088 = _124086, _124084 = _124082], (646 ^ _122567) ^ [_145282] : [function(_145282), 649 ^ _122567 : [(652 ^ _122567) ^ [] : [-(subclass(compose(_145282, inverse(_145282)), identity_relation))], (650 ^ _122567) ^ [] : [-(subclass(_145282, cross_product(universal_class, universal_class)))]]], (719 ^ _122567) ^ [_147941] : [member(_147941, universal_class), -(member(member_of(singleton(_147941)), universal_class))], (455 ^ _122567) ^ [_138559] : [-(subclass(rotate(_138559), cross_product(cross_product(universal_class, universal_class), universal_class)))], (523 ^ _122567) ^ [_140929] : [-(inverse(_140929) = domain_of(flip(cross_product(_140929, universal_class))))], (601 ^ _122567) ^ [_143594] : [member(_143594, universal_class), -(member(power_class(_143594), universal_class))], (636 ^ _122567) ^ [_144906] : [-(member(_144906, identity_relation)), 637 ^ _122567 : [(638 ^ _122567) ^ [_144999] : [member(_144999, universal_class), _144906 = ordered_pair(_144999, _144999)]]], (200 ^ _122567) ^ [_129532, _129534, _129536, _129538] : [-(compose(_129538, _129534) = compose(_129536, _129532)), _129538 = _129536, _129534 = _129532], (305 ^ _122567) ^ [_133276, _133278, _133280] : [-(member(_133280, unordered_pair(_133278, _133276))), member(_133280, universal_class), 310 ^ _122567 : [(313 ^ _122567) ^ [] : [_133280 = _133276], (311 ^ _122567) ^ [] : [_133280 = _133278]]], (323 ^ _122567) ^ [_134013, _134015, _134017, _134019] : [member(ordered_pair(_134019, _134017), cross_product(_134015, _134013)), 326 ^ _122567 : [(329 ^ _122567) ^ [] : [-(member(_134017, _134013))], (327 ^ _122567) ^ [] : [-(member(_134019, _134015))]]], (550 ^ _122567) ^ [] : [-(inductive(546 ^ []))], (275 ^ _122567) ^ [_132350, _132352] : [_132352 = _132350, 278 ^ _122567 : [(281 ^ _122567) ^ [] : [-(subclass(_132350, _132352))], (279 ^ _122567) ^ [] : [-(subclass(_132352, _132350))]]], (120 ^ _122567) ^ [_126603, _126605] : [_126605 = _126603, -(rotate(_126605) = rotate(_126603))], (427 ^ _122567) ^ [_137557, _137559] : [-(member(_137557, domain_of(_137559))), member(_137557, universal_class), -(restrict(_137559, singleton(_137557), universal_class) = null_class)], (359 ^ _122567) ^ [_135284, _135286] : [member(ordered_pair(_135286, _135284), element_relation), 362 ^ _122567 : [(365 ^ _122567) ^ [] : [-(member(_135286, _135284))], (363 ^ _122567) ^ [] : [-(member(_135284, universal_class))]]], (68 ^ _122567) ^ [_124801, _124803, _124805, _124807] : [-(member(_124805, _124801)), member(_124807, _124803), _124807 = _124805, _124803 = _124801], (475 ^ _122567) ^ [_139350] : [-(subclass(flip(_139350), cross_product(cross_product(universal_class, universal_class), universal_class)))], (148 ^ _122567) ^ [_127616, _127618] : [_127618 = _127616, -(domain_of(_127618) = domain_of(_127616))], (142 ^ _122567) ^ [_127398, _127400] : [_127400 = _127398, -(flip(_127400) = flip(_127398))], (264 ^ _122567) ^ [_131886, _131888] : [266 ^ _122567 : [(269 ^ _122567) ^ [] : [member(265 ^ [_131886, _131888], _131886)], (267 ^ _122567) ^ [] : [-(member(265 ^ [_131886, _131888], _131888))]], -(subclass(_131888, _131886))], (558 ^ _122567) ^ [_142160, _142162] : [member(_142162, sum_class(_142160)), 562 ^ _122567 : [(565 ^ _122567) ^ [] : [-(member(561 ^ [_142160, _142162], _142160))], (563 ^ _122567) ^ [] : [-(member(_142162, 561 ^ [_142160, _142162]))]]], (248 ^ _122567) ^ [_131215, _131217] : [_131217 = _131215, -(member_of(_131217) = member_of(_131215))], (377 ^ _122567) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (583 ^ _122567) ^ [_143062, _143064] : [member(_143064, power_class(_143062)), 586 ^ _122567 : [(589 ^ _122567) ^ [] : [-(subclass(_143064, _143062))], (587 ^ _122567) ^ [] : [-(member(_143064, universal_class))]]], (487 ^ _122567) ^ [_139770, _139772, _139774] : [488 ^ _122567 : [(491 ^ _122567) ^ [] : [member(_139770, _139772)], (489 ^ _122567) ^ [] : [member(_139770, _139774)]], -(member(_139770, union(_139774, _139772)))], (577 ^ _122567) ^ [_142825] : [member(_142825, universal_class), -(member(sum_class(_142825), universal_class))], (704 ^ _122567) ^ [_147223, _147225] : [-(apply(_147225, _147223) = sum_class(image(_147225, singleton(_147223))))], (567 ^ _122567) ^ [_142471, _142473] : [-(member(_142473, sum_class(_142471))), 568 ^ _122567 : [(569 ^ _122567) ^ [_142565] : [member(_142473, _142565), member(_142565, _142471)]]], (397 ^ _122567) ^ [_136527, _136529] : [member(_136527, complement(_136529)), 400 ^ _122567 : [(403 ^ _122567) ^ [] : [member(_136527, _136529)], (401 ^ _122567) ^ [] : [-(member(_136527, universal_class))]]], (552 ^ _122567) ^ [_141925] : [inductive(_141925), -(subclass(546 ^ [], _141925))], (477 ^ _122567) ^ [_139502, _139504, _139506] : [member(_139502, union(_139506, _139504)), -(member(_139502, _139506)), -(member(_139502, _139504))], (210 ^ _122567) ^ [_129863, _129865] : [_129865 = _129863, -(inverse(_129865) = inverse(_129863))], (160 ^ _122567) ^ [_128108, _128110, _128112, _128114, _128116, _128118] : [-(restrict(_128118, _128114, _128110) = restrict(_128116, _128112, _128108)), _128118 = _128116, _128114 = _128112, _128110 = _128108], (92 ^ _122567) ^ [_125590, _125592] : [_125592 = _125590, -(first(_125592) = first(_125590))], (537 ^ _122567) ^ [_141480] : [-(inductive(_141480)), member(null_class, _141480), subclass(image(successor_relation, _141480), _141480)], (58 ^ _122567) ^ [_124498, _124500] : [-(function(_124498)), _124500 = _124498, function(_124500)], (457 ^ _122567) ^ [_138725, _138727, _138729, _138731] : [member(ordered_pair(ordered_pair(_138731, _138729), _138727), flip(_138725)), 460 ^ _122567 : [(463 ^ _122567) ^ [] : [-(member(ordered_pair(ordered_pair(_138729, _138731), _138727), _138725))], (461 ^ _122567) ^ [] : [-(member(ordered_pair(ordered_pair(_138731, _138729), _138727), cross_product(cross_product(universal_class, universal_class), universal_class)))]]], (98 ^ _122567) ^ [_125808, _125810] : [_125810 = _125808, -(second(_125810) = second(_125808))], (405 ^ _122567) ^ [_136769, _136771] : [-(member(_136769, complement(_136771))), member(_136769, universal_class), -(member(_136769, _136771))], (10 ^ _122567) ^ [_123002, _123004, _123006] : [-(_123006 = _123002), _123006 = _123004, _123004 = _123002], (548 ^ _122567) ^ [] : [-(member(546 ^ [], universal_class))], (417 ^ _122567) ^ [_137167] : [member(_137167, null_class)], (509 ^ _122567) ^ [_140558, _140560] : [-(member(ordered_pair(_140560, _140558), successor_relation)), member(_140560, universal_class), member(_140558, universal_class), successor(_140560) = _140558], (82 ^ _122567) ^ [_125259, _125261, _125263, _125265] : [-(unordered_pair(_125265, _125261) = unordered_pair(_125263, _125259)), _125265 = _125263, _125261 = _125259], (664 ^ _122567) ^ [_145818, _145820] : [-(member(image(_145818, _145820), universal_class)), member(_145820, universal_class), function(_145818)], (627 ^ _122567) ^ [_144601] : [member(_144601, identity_relation), 631 ^ _122567 : [(634 ^ _122567) ^ [] : [-(_144601 = ordered_pair(630 ^ [_144601], 630 ^ [_144601]))], (632 ^ _122567) ^ [] : [-(member(630 ^ [_144601], universal_class))]]], (497 ^ _122567) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (737 ^ _122567) ^ [_148524] : [-(singleton(member_of(_148524)) = _148524), -(member_of(_148524) = _148524)], (154 ^ _122567) ^ [_127834, _127836] : [_127836 = _127834, -(range_of(_127836) = range_of(_127834))], (674 ^ _122567) ^ [_146150, _146152] : [disjoint(_146152, _146150), 677 ^ _122567 : [(678 ^ _122567) ^ [_146289] : [member(_146289, _146152), member(_146289, _146150)]]], (232 ^ _122567) ^ [_130686, _130688, _130690, _130692] : [-(apply(_130692, _130688) = apply(_130690, _130686)), _130692 = _130690, _130688 = _130686], (104 ^ _122567) ^ [_126026, _126028] : [_126028 = _126026, -(complement(_126028) = complement(_126026))], (387 ^ _122567) ^ [_136181, _136183, _136185] : [-(member(_136181, intersection(_136185, _136183))), member(_136181, _136185), member(_136181, _136183)], (415 ^ _122567) ^ [_137076, _137078, _137080] : [-(restrict(_137078, _137080, _137076) = intersection(_137078, cross_product(_137080, _137076)))], (222 ^ _122567) ^ [_130327, _130329, _130331, _130333] : [-(image(_130333, _130329) = image(_130331, _130327)), _130333 = _130331, _130329 = _130327], (607 ^ _122567) ^ [_143787, _143789] : [-(subclass(compose(_143787, _143789), cross_product(universal_class, universal_class)))], (136 ^ _122567) ^ [_127180, _127182] : [_127182 = _127180, -(successor(_127182) = successor(_127180))], (254 ^ _122567) ^ [_131572, _131574] : [subclass(_131574, _131572), 257 ^ _122567 : [(258 ^ _122567) ^ [_131709] : [member(_131709, _131574), -(member(_131709, _131572))]]], (731 ^ _122567) ^ [_148345] : [-(member(member_of(_148345), universal_class)), -(member_of(_148345) = _148345)], (180 ^ _122567) ^ [_128814, _128816, _128818, _128820] : [-(ordered_pair(_128820, _128816) = ordered_pair(_128818, _128814)), _128820 = _128818, _128816 = _128814]], input).
% 222.76/215.44  ncf('1',plain,[-(member(743 ^ [], 742 ^ []))],start(747 ^ 0)).
% 222.76/215.44  ncf('1.1',plain,[member(743 ^ [], 742 ^ []), -(member(743 ^ [], intersection(742 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ []))))), member(743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))],extension(387 ^ 1,bind([[_136181, _136183, _136185], [743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), 742 ^ []]]))).
% 222.76/215.44  ncf('1.1.1',plain,[member(743 ^ [], intersection(742 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))), 385 : -(member(743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ []))))],extension(379 ^ 2,bind([[_135930, _135932, _135934], [743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), 742 ^ []]]))).
% 222.76/215.44  ncf('1.1.1.1',plain,[member(743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ []))), 299 : -(743 ^ [] = member_of(742 ^ [])), 299 : -(743 ^ [] = member_of(742 ^ []))],extension(293 ^ 5,bind([[_132931, _132933, _132935], [member_of(742 ^ []), member_of(742 ^ []), 743 ^ []]]))).
% 222.76/215.44  ncf('1.1.1.1.1',plain,[743 ^ [] = member_of(742 ^ []), -(member_of(742 ^ []) = 743 ^ [])],extension(4 ^ 8,bind([[_122798, _122800], [member_of(742 ^ []), 743 ^ []]]))).
% 222.76/215.44  ncf('1.1.1.1.1.1',plain,[member_of(742 ^ []) = 743 ^ []],extension(749 ^ 9)).
% 222.76/215.44  ncf('1.1.1.1.2',plain,[743 ^ [] = member_of(742 ^ []), -(member_of(742 ^ []) = 743 ^ [])],extension(4 ^ 8,bind([[_122798, _122800], [member_of(742 ^ []), 743 ^ []]]))).
% 222.76/215.44  ncf('1.1.1.1.2.1',plain,[member_of(742 ^ []) = 743 ^ []],extension(749 ^ 9)).
% 222.76/215.44  ncf('1.1.2',plain,[-(member(743 ^ [], unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))), member(743 ^ [], 742 ^ []), 743 ^ [] = 743 ^ [], 742 ^ [] = unordered_pair(member_of(742 ^ []), member_of(742 ^ []))],extension(68 ^ 2,bind([[_124801, _124803, _124805, _124807], [unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), 742 ^ [], 743 ^ [], 743 ^ []]]))).
% 222.76/215.44  ncf('1.1.2.1',plain,[-(member(743 ^ [], 742 ^ []))],reduction('1')).
% 222.76/215.44  ncf('1.1.2.2',plain,[-(743 ^ [] = 743 ^ [])],extension(2 ^ 3,bind([[_122691], [743 ^ []]]))).
% 222.76/215.44  ncf('1.1.2.3',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([[_123002, _123004, _123006], [unordered_pair(member_of(742 ^ []), member_of(742 ^ [])), singleton(member_of(742 ^ [])), 742 ^ []]]))).
% 222.76/215.44  ncf('1.1.2.3.1',plain,[-(742 ^ [] = singleton(member_of(742 ^ []))), singleton(member_of(742 ^ [])) = 742 ^ []],extension(4 ^ 4,bind([[_122798, _122800], [742 ^ [], singleton(member_of(742 ^ []))]]))).
% 222.76/215.44  ncf('1.1.2.3.1.1',plain,[-(singleton(member_of(742 ^ [])) = 742 ^ [])],extension(745 ^ 5)).
% 222.76/215.44  ncf('1.1.2.3.2',plain,[-(singleton(member_of(742 ^ [])) = unordered_pair(member_of(742 ^ []), member_of(742 ^ [])))],extension(319 ^ 4,bind([[_133737], [member_of(742 ^ [])]]))).
% 222.76/215.44  %-----------------------------------------------------
% 222.76/215.44  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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