%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET101+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:55:23 EDT 2023

% Result   : Theorem 23.91s 24.13s
% Output   : Proof 23.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET101+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 19:19:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 23.91/24.13  
% 23.91/24.13  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 23.91/24.13  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.91/24.13  %-----------------------------------------------------
% 23.91/24.13  ncf(matrix, plain, [(715 ^ _105759) ^ [] : [member(singleton(712 ^ []), ordered_pair(712 ^ [], 713 ^ []))], (2 ^ _105759) ^ [_105903] : [-(_105903 = _105903)], (4 ^ _105759) ^ [_106010, _106012] : [_106012 = _106010, -(_106010 = _106012)], (10 ^ _105759) ^ [_106214, _106216, _106218] : [-(_106218 = _106214), _106218 = _106216, _106216 = _106214], (20 ^ _105759) ^ [_106527, _106529] : [-(inductive(_106527)), _106529 = _106527, inductive(_106529)], (30 ^ _105759) ^ [_106850, _106852, _106854, _106856] : [-(subclass(_106854, _106850)), subclass(_106856, _106852), _106856 = _106854, _106852 = _106850], (44 ^ _105759) ^ [_107294, _107296, _107298, _107300] : [-(disjoint(_107298, _107294)), disjoint(_107300, _107296), _107300 = _107298, _107296 = _107294], (58 ^ _105759) ^ [_107710, _107712] : [-(function(_107710)), _107712 = _107710, function(_107712)], (68 ^ _105759) ^ [_108013, _108015, _108017, _108019] : [-(member(_108017, _108013)), member(_108019, _108015), _108019 = _108017, _108015 = _108013], (82 ^ _105759) ^ [_108471, _108473, _108475, _108477] : [-(unordered_pair(_108477, _108473) = unordered_pair(_108475, _108471)), _108477 = _108475, _108473 = _108471], (92 ^ _105759) ^ [_108802, _108804] : [_108804 = _108802, -(first(_108804) = first(_108802))], (98 ^ _105759) ^ [_109020, _109022] : [_109022 = _109020, -(second(_109022) = second(_109020))], (104 ^ _105759) ^ [_109238, _109240] : [_109240 = _109238, -(complement(_109240) = complement(_109238))], (110 ^ _105759) ^ [_109484, _109486, _109488, _109490] : [-(intersection(_109490, _109486) = intersection(_109488, _109484)), _109490 = _109488, _109486 = _109484], (120 ^ _105759) ^ [_109815, _109817] : [_109817 = _109815, -(rotate(_109817) = rotate(_109815))], (126 ^ _105759) ^ [_110061, _110063, _110065, _110067] : [-(union(_110067, _110063) = union(_110065, _110061)), _110067 = _110065, _110063 = _110061], (136 ^ _105759) ^ [_110392, _110394] : [_110394 = _110392, -(successor(_110394) = successor(_110392))], (142 ^ _105759) ^ [_110610, _110612] : [_110612 = _110610, -(flip(_110612) = flip(_110610))], (148 ^ _105759) ^ [_110828, _110830] : [_110830 = _110828, -(domain_of(_110830) = domain_of(_110828))], (154 ^ _105759) ^ [_111046, _111048] : [_111048 = _111046, -(range_of(_111048) = range_of(_111046))], (160 ^ _105759) ^ [_111320, _111322, _111324, _111326, _111328, _111330] : [-(restrict(_111330, _111326, _111322) = restrict(_111328, _111324, _111320)), _111330 = _111328, _111326 = _111324, _111322 = _111320], (174 ^ _105759) ^ [_111780, _111782] : [_111782 = _111780, -(power_class(_111782) = power_class(_111780))], (180 ^ _105759) ^ [_112026, _112028, _112030, _112032] : [-(cross_product(_112032, _112028) = cross_product(_112030, _112026)), _112032 = _112030, _112028 = _112026], (190 ^ _105759) ^ [_112385, _112387, _112389, _112391] : [-(compose(_112391, _112387) = compose(_112389, _112385)), _112391 = _112389, _112387 = _112385], (200 ^ _105759) ^ [_112716, _112718] : [_112718 = _112716, -(inverse(_112718) = inverse(_112716))], (206 ^ _105759) ^ [_112934, _112936] : [_112936 = _112934, -(sum_class(_112936) = sum_class(_112934))], (212 ^ _105759) ^ [_113180, _113182, _113184, _113186] : [-(image(_113186, _113182) = image(_113184, _113180)), _113186 = _113184, _113182 = _113180], (222 ^ _105759) ^ [_113539, _113541, _113543, _113545] : [-(apply(_113545, _113541) = apply(_113543, _113539)), _113545 = _113543, _113541 = _113539], (232 ^ _105759) ^ [_113870, _113872] : [_113872 = _113870, -(singleton(_113872) = singleton(_113870))], (238 ^ _105759) ^ [_114096, _114098, _114100, _114102] : [-(ordered_pair(_114102, _114098) = ordered_pair(_114100, _114096)), _114102 = _114100, _114098 = _114096], (258 ^ _105759) ^ [_114858, _114860] : [260 ^ _105759 : [(261 ^ _105759) ^ [] : [-(member(259 ^ [_114858, _114860], _114860))], (263 ^ _105759) ^ [] : [member(259 ^ [_114858, _114860], _114858)]], -(subclass(_114860, _114858))], (248 ^ _105759) ^ [_114544, _114546] : [subclass(_114546, _114544), 251 ^ _105759 : [(252 ^ _105759) ^ [_114681] : [member(_114681, _114546), -(member(_114681, _114544))]]], (267 ^ _105759) ^ [_115186] : [-(subclass(_115186, universal_class))], (269 ^ _105759) ^ [_115322, _115324] : [_115324 = _115322, 272 ^ _105759 : [(273 ^ _105759) ^ [] : [-(subclass(_115324, _115322))], (275 ^ _105759) ^ [] : [-(subclass(_115322, _115324))]]], (277 ^ _105759) ^ [_115559, _115561] : [-(_115561 = _115559), subclass(_115561, _115559), subclass(_115559, _115561)], (287 ^ _105759) ^ [_115903, _115905, _115907] : [member(_115907, unordered_pair(_115905, _115903)), 290 ^ _105759 : [(291 ^ _105759) ^ [] : [-(member(_115907, universal_class))], (293 ^ _105759) ^ [] : [-(_115907 = _115905), -(_115907 = _115903)]]], (299 ^ _105759) ^ [_116248, _116250, _116252] : [-(member(_116252, unordered_pair(_116250, _116248))), member(_116252, universal_class), 304 ^ _105759 : [(305 ^ _105759) ^ [] : [_116252 = _116250], (307 ^ _105759) ^ [] : [_116252 = _116248]]], (311 ^ _105759) ^ [_116626, _116628] : [-(member(unordered_pair(_116628, _116626), universal_class))], (313 ^ _105759) ^ [_116709] : [-(singleton(_116709) = unordered_pair(_116709, _116709))], (315 ^ _105759) ^ [_116806, _116808] : [-(ordered_pair(_116808, _116806) = unordered_pair(singleton(_116808), unordered_pair(_116808, singleton(_116806))))], (317 ^ _105759) ^ [_116985, _116987, _116989, _116991] : [member(ordered_pair(_116991, _116989), cross_product(_116987, _116985)), 320 ^ _105759 : [(321 ^ _105759) ^ [] : [-(member(_116991, _116987))], (323 ^ _105759) ^ [] : [-(member(_116989, _116985))]]], (325 ^ _105759) ^ [_117250, _117252, _117254, _117256] : [-(member(ordered_pair(_117256, _117254), cross_product(_117252, _117250))), member(_117256, _117252), member(_117254, _117250)], (335 ^ _105759) ^ [_117583, _117585] : [342 ^ _105759 : [(343 ^ _105759) ^ [] : [-(first(ordered_pair(_117585, _117583)) = _117585)], (345 ^ _105759) ^ [] : [-(second(ordered_pair(_117585, _117583)) = _117583)]], member(_117585, universal_class), member(_117583, universal_class)], (347 ^ _105759) ^ [_117991, _117993, _117995] : [member(_117991, cross_product(_117995, _117993)), -(_117991 = ordered_pair(first(_117991), second(_117991)))], (353 ^ _105759) ^ [_118256, _118258] : [member(ordered_pair(_118258, _118256), element_relation), 356 ^ _105759 : [(357 ^ _105759) ^ [] : [-(member(_118256, universal_class))], (359 ^ _105759) ^ [] : [-(member(_118258, _118256))]]], (361 ^ _105759) ^ [_118499, _118501] : [-(member(ordered_pair(_118501, _118499), element_relation)), member(_118499, universal_class), member(_118501, _118499)], (371 ^ _105759) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _105759) ^ [_118902, _118904, _118906] : [member(_118902, intersection(_118906, _118904)), 376 ^ _105759 : [(377 ^ _105759) ^ [] : [-(member(_118902, _118906))], (379 ^ _105759) ^ [] : [-(member(_118902, _118904))]]], (381 ^ _105759) ^ [_119153, _119155, _119157] : [-(member(_119153, intersection(_119157, _119155))), member(_119153, _119157), member(_119153, _119155)], (391 ^ _105759) ^ [_119499, _119501] : [member(_119499, complement(_119501)), 394 ^ _105759 : [(395 ^ _105759) ^ [] : [-(member(_119499, universal_class))], (397 ^ _105759) ^ [] : [member(_119499, _119501)]]], (399 ^ _105759) ^ [_119741, _119743] : [-(member(_119741, complement(_119743))), member(_119741, universal_class), -(member(_119741, _119743))], (409 ^ _105759) ^ [_120048, _120050, _120052] : [-(restrict(_120050, _120052, _120048) = intersection(_120050, cross_product(_120052, _120048)))], (411 ^ _105759) ^ [_120139] : [member(_120139, null_class)], (413 ^ _105759) ^ [_120275, _120277] : [member(_120275, domain_of(_120277)), 416 ^ _105759 : [(417 ^ _105759) ^ [] : [-(member(_120275, universal_class))], (419 ^ _105759) ^ [] : [restrict(_120277, singleton(_120275), universal_class) = null_class]]], (421 ^ _105759) ^ [_120529, _120531] : [-(member(_120529, domain_of(_120531))), member(_120529, universal_class), -(restrict(_120531, singleton(_120529), universal_class) = null_class)], (431 ^ _105759) ^ [_120906, _120908, _120910, _120912] : [member(ordered_pair(ordered_pair(_120910, _120908), _120906), rotate(_120912)), 434 ^ _105759 : [(435 ^ _105759) ^ [] : [-(member(ordered_pair(ordered_pair(_120910, _120908), _120906), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _105759) ^ [] : [-(member(ordered_pair(ordered_pair(_120908, _120906), _120910), _120912))]]], (439 ^ _105759) ^ [_121199, _121201, _121203, _121205] : [-(member(ordered_pair(ordered_pair(_121203, _121201), _121199), rotate(_121205))), member(ordered_pair(ordered_pair(_121203, _121201), _121199), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_121201, _121199), _121203), _121205)], (449 ^ _105759) ^ [_121531] : [-(subclass(rotate(_121531), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _105759) ^ [_121697, _121699, _121701, _121703] : [member(ordered_pair(ordered_pair(_121703, _121701), _121699), flip(_121697)), 454 ^ _105759 : [(455 ^ _105759) ^ [] : [-(member(ordered_pair(ordered_pair(_121703, _121701), _121699), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _105759) ^ [] : [-(member(ordered_pair(ordered_pair(_121701, _121703), _121699), _121697))]]], (459 ^ _105759) ^ [_121990, _121992, _121994, _121996] : [-(member(ordered_pair(ordered_pair(_121996, _121994), _121992), flip(_121990))), member(ordered_pair(ordered_pair(_121996, _121994), _121992), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_121994, _121996), _121992), _121990)], (469 ^ _105759) ^ [_122322] : [-(subclass(flip(_122322), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _105759) ^ [_122742, _122744, _122746] : [482 ^ _105759 : [(483 ^ _105759) ^ [] : [member(_122742, _122746)], (485 ^ _105759) ^ [] : [member(_122742, _122744)]], -(member(_122742, union(_122746, _122744)))], (471 ^ _105759) ^ [_122474, _122476, _122478] : [member(_122474, union(_122478, _122476)), -(member(_122474, _122478)), -(member(_122474, _122476))], (489 ^ _105759) ^ [_123013] : [-(successor(_123013) = union(_123013, singleton(_123013)))], (491 ^ _105759) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _105759) ^ [_123209, _123211] : [member(ordered_pair(_123211, _123209), successor_relation), 496 ^ _105759 : [(497 ^ _105759) ^ [] : [-(member(_123211, universal_class))], (499 ^ _105759) ^ [] : [-(member(_123209, universal_class))], (501 ^ _105759) ^ [] : [-(successor(_123211) = _123209)]]], (503 ^ _105759) ^ [_123530, _123532] : [-(member(ordered_pair(_123532, _123530), successor_relation)), member(_123532, universal_class), member(_123530, universal_class), successor(_123532) = _123530], (517 ^ _105759) ^ [_123901] : [-(inverse(_123901) = domain_of(flip(cross_product(_123901, universal_class))))], (519 ^ _105759) ^ [_123988] : [-(range_of(_123988) = domain_of(inverse(_123988)))], (521 ^ _105759) ^ [_124086, _124088] : [-(image(_124086, _124088) = range_of(restrict(_124086, _124088, universal_class)))], (523 ^ _105759) ^ [_124219] : [inductive(_124219), 526 ^ _105759 : [(527 ^ _105759) ^ [] : [-(member(null_class, _124219))], (529 ^ _105759) ^ [] : [-(subclass(image(successor_relation, _124219), _124219))]]], (531 ^ _105759) ^ [_124452] : [-(inductive(_124452)), member(null_class, _124452), subclass(image(successor_relation, _124452), _124452)], (542 ^ _105759) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _105759) ^ [] : [-(inductive(540 ^ []))], (546 ^ _105759) ^ [_124897] : [inductive(_124897), -(subclass(540 ^ [], _124897))], (552 ^ _105759) ^ [_125132, _125134] : [member(_125134, sum_class(_125132)), 556 ^ _105759 : [(557 ^ _105759) ^ [] : [-(member(_125134, 555 ^ [_125132, _125134]))], (559 ^ _105759) ^ [] : [-(member(555 ^ [_125132, _125134], _125132))]]], (561 ^ _105759) ^ [_125443, _125445] : [-(member(_125445, sum_class(_125443))), 562 ^ _105759 : [(563 ^ _105759) ^ [_125537] : [member(_125445, _125537), member(_125537, _125443)]]], (571 ^ _105759) ^ [_125797] : [member(_125797, universal_class), -(member(sum_class(_125797), universal_class))], (577 ^ _105759) ^ [_126034, _126036] : [member(_126036, power_class(_126034)), 580 ^ _105759 : [(581 ^ _105759) ^ [] : [-(member(_126036, universal_class))], (583 ^ _105759) ^ [] : [-(subclass(_126036, _126034))]]], (585 ^ _105759) ^ [_126275, _126277] : [-(member(_126277, power_class(_126275))), member(_126277, universal_class), subclass(_126277, _126275)], (595 ^ _105759) ^ [_126566] : [member(_126566, universal_class), -(member(power_class(_126566), universal_class))], (601 ^ _105759) ^ [_126759, _126761] : [-(subclass(compose(_126759, _126761), cross_product(universal_class, universal_class)))], (603 ^ _105759) ^ [_126928, _126930, _126932, _126934] : [member(ordered_pair(_126930, _126928), compose(_126932, _126934)), 606 ^ _105759 : [(607 ^ _105759) ^ [] : [-(member(_126930, universal_class))], (609 ^ _105759) ^ [] : [-(member(_126928, image(_126932, image(_126934, singleton(_126930)))))]]], (611 ^ _105759) ^ [_127209, _127211, _127213, _127215] : [-(member(ordered_pair(_127211, _127209), compose(_127213, _127215))), member(_127211, universal_class), member(_127209, image(_127213, image(_127215, singleton(_127211))))], (621 ^ _105759) ^ [_127573] : [member(_127573, identity_relation), 625 ^ _105759 : [(626 ^ _105759) ^ [] : [-(member(624 ^ [_127573], universal_class))], (628 ^ _105759) ^ [] : [-(_127573 = ordered_pair(624 ^ [_127573], 624 ^ [_127573]))]]], (630 ^ _105759) ^ [_127878] : [-(member(_127878, identity_relation)), 631 ^ _105759 : [(632 ^ _105759) ^ [_127971] : [member(_127971, universal_class), _127878 = ordered_pair(_127971, _127971)]]], (640 ^ _105759) ^ [_128254] : [function(_128254), 643 ^ _105759 : [(644 ^ _105759) ^ [] : [-(subclass(_128254, cross_product(universal_class, universal_class)))], (646 ^ _105759) ^ [] : [-(subclass(compose(_128254, inverse(_128254)), identity_relation))]]], (648 ^ _105759) ^ [_128491] : [-(function(_128491)), subclass(_128491, cross_product(universal_class, universal_class)), subclass(compose(_128491, inverse(_128491)), identity_relation)], (658 ^ _105759) ^ [_128790, _128792] : [-(member(image(_128790, _128792), universal_class)), member(_128792, universal_class), function(_128790)], (678 ^ _105759) ^ [_129437, _129439] : [680 ^ _105759 : [(681 ^ _105759) ^ [] : [-(member(679 ^ [_129437, _129439], _129439))], (683 ^ _105759) ^ [] : [-(member(679 ^ [_129437, _129439], _129437))]], -(disjoint(_129439, _129437))], (668 ^ _105759) ^ [_129122, _129124] : [disjoint(_129124, _129122), 671 ^ _105759 : [(672 ^ _105759) ^ [_129261] : [member(_129261, _129124), member(_129261, _129122)]]], (687 ^ _105759) ^ [_129785] : [-(_129785 = null_class), 691 ^ _105759 : [(692 ^ _105759) ^ [] : [-(member(690 ^ [_129785], universal_class))], (694 ^ _105759) ^ [] : [-(member(690 ^ [_129785], _129785))], (696 ^ _105759) ^ [] : [-(disjoint(690 ^ [_129785], _129785))]]], (698 ^ _105759) ^ [_130195, _130197] : [-(apply(_130197, _130195) = sum_class(image(_130197, singleton(_130195))))], (701 ^ _105759) ^ [] : [-(function(699 ^ []))], (703 ^ _105759) ^ [_130395] : [member(_130395, universal_class), -(_130395 = null_class), -(member(apply(699 ^ [], _130395), _130395))]], input).
% 23.91/24.13  ncf('1',plain,[member(singleton(712 ^ []), ordered_pair(712 ^ [], 713 ^ []))],start(715 ^ 0)).
% 23.91/24.13  ncf('1.1',plain,[-(member(singleton(712 ^ []), ordered_pair(712 ^ [], 713 ^ []))), 252 : member(singleton(712 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))), 252 : subclass(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), ordered_pair(712 ^ [], 713 ^ []))],extension(248 ^ 1,bind([[_114544, _114546, _114681], [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), singleton(712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1',plain,[-(member(singleton(712 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))), member(singleton(712 ^ []), universal_class), 305 : singleton(712 ^ []) = singleton(712 ^ [])],extension(299 ^ 4,bind([[_116248, _116250, _116252], [unordered_pair(712 ^ [], singleton(713 ^ [])), singleton(712 ^ []), singleton(712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1.1',plain,[-(member(singleton(712 ^ []), universal_class)), member(unordered_pair(712 ^ [], 712 ^ []), universal_class), unordered_pair(712 ^ [], 712 ^ []) = singleton(712 ^ []), universal_class = universal_class],extension(68 ^ 5,bind([[_108013, _108015, _108017, _108019], [universal_class, universal_class, singleton(712 ^ []), unordered_pair(712 ^ [], 712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1.1.1',plain,[-(member(unordered_pair(712 ^ [], 712 ^ []), universal_class)), member(unordered_pair(712 ^ [], 712 ^ []), universal_class), unordered_pair(712 ^ [], 712 ^ []) = unordered_pair(712 ^ [], 712 ^ []), universal_class = universal_class],extension(68 ^ 6,bind([[_108013, _108015, _108017, _108019], [universal_class, universal_class, unordered_pair(712 ^ [], 712 ^ []), unordered_pair(712 ^ [], 712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1.1.1.1',plain,[-(member(unordered_pair(712 ^ [], 712 ^ []), universal_class))],extension(311 ^ 7,bind([[_116626, _116628], [712 ^ [], 712 ^ []]]))).
% 23.91/24.13  ncf('1.1.1.1.1.2',plain,[-(unordered_pair(712 ^ [], 712 ^ []) = unordered_pair(712 ^ [], 712 ^ []))],extension(2 ^ 7,bind([[_105903], [unordered_pair(712 ^ [], 712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 7,bind([[_105903], [universal_class]]))).
% 23.91/24.13  ncf('1.1.1.1.2',plain,[-(unordered_pair(712 ^ [], 712 ^ []) = singleton(712 ^ [])), singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ [])],extension(4 ^ 6,bind([[_106010, _106012], [unordered_pair(712 ^ [], 712 ^ []), singleton(712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.1.1.2.1',plain,[-(singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ []))],extension(313 ^ 7,bind([[_116709], [712 ^ []]]))).
% 23.91/24.13  ncf('1.1.1.1.3',plain,[-(universal_class = universal_class)],extension(2 ^ 6,bind([[_105903], [universal_class]]))).
% 23.91/24.13  ncf('1.1.1.2',plain,[-(singleton(712 ^ []) = singleton(712 ^ []))],extension(2 ^ 7,bind([[_105903], [singleton(712 ^ [])]]))).
% 23.91/24.13  ncf('1.1.2',plain,[-(subclass(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), ordered_pair(712 ^ [], 713 ^ []))), 263 : member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], ordered_pair(712 ^ [], 713 ^ []))],extension(258 ^ 2,bind([[_114858, _114860], [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]))).
% 23.91/24.13  ncf('1.1.2.1',plain,[-(member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], ordered_pair(712 ^ [], 713 ^ []))), member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))), 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))] = 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = ordered_pair(712 ^ [], 713 ^ [])],extension(68 ^ 5,bind([[_108013, _108015, _108017, _108019], [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]]))).
% 23.91/24.13  ncf('1.1.2.1.1',plain,[-(member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))), member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))), 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))] = 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))],extension(68 ^ 6,bind([[_108013, _108015, _108017, _108019], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]]))).
% 23.91/24.13  ncf('1.1.2.1.1.1',plain,[-(member(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))], unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))))],extension(261 ^ 7)).
% 23.91/24.13  ncf('1.1.2.1.1.2',plain,[-(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))] = 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))])],extension(2 ^ 7,bind([[_105903], [259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]]))).
% 23.91/24.13  ncf('1.1.2.1.1.3',plain,[-(unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))],extension(2 ^ 7,bind([[_105903], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]))).
% 23.91/24.13  ncf('1.1.2.1.2',plain,[-(259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))] = 259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))])],extension(2 ^ 6,bind([[_105903], [259 ^ [ordered_pair(712 ^ [], 713 ^ []), unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ [])))]]]))).
% 23.91/24.13  ncf('1.1.2.1.3',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 ^ 6,bind([[_106010, _106012], [unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))), ordered_pair(712 ^ [], 713 ^ [])]]))).
% 23.91/24.13  ncf('1.1.2.1.3.1',plain,[-(ordered_pair(712 ^ [], 713 ^ []) = unordered_pair(singleton(712 ^ []), unordered_pair(712 ^ [], singleton(713 ^ []))))],extension(315 ^ 7,bind([[_116806, _116808], [713 ^ [], 712 ^ []]]))).
% 23.91/24.13  %-----------------------------------------------------
% 23.91/24.13  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------