%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:55:20 EDT 2023

% Result   : Theorem 164.10s 158.69s
% Output   : Proof 164.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 18:47:02 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 164.10/158.69  
% 164.10/158.69  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 164.10/158.69  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 164.10/158.69  %-----------------------------------------------------
% 164.10/158.69  ncf(matrix, plain, [(714 ^ _137442) ^ [] : [member(712 ^ [], universal_class)], (716 ^ _137442) ^ [] : [singleton(712 ^ []) = null_class], !, (277 ^ _112279) ^ [_122059, _122061] : [-(_122061 = _122059), subclass(_122061, _122059), subclass(_122059, _122061)], (469 ^ _112279) ^ [_128822] : [-(subclass(flip(_128822), cross_product(cross_product(universal_class, universal_class), universal_class)))], (687 ^ _112279) ^ [_136285] : [-(_136285 = null_class), 691 ^ _112279 : [(696 ^ _112279) ^ [] : [-(disjoint(690 ^ [_136285], _136285))], (694 ^ _112279) ^ [] : [-(member(690 ^ [_136285], _136285))], (692 ^ _112279) ^ [] : [-(member(690 ^ [_136285], universal_class))]]], (287 ^ _112279) ^ [_122403, _122405, _122407] : [member(_122407, unordered_pair(_122405, _122403)), 290 ^ _112279 : [(291 ^ _112279) ^ [] : [-(member(_122407, universal_class))], (293 ^ _112279) ^ [] : [-(_122407 = _122405), -(_122407 = _122403)]]], (248 ^ _112279) ^ [_121044, _121046] : [subclass(_121046, _121044), 251 ^ _112279 : [(252 ^ _112279) ^ [_121181] : [member(_121181, _121046), -(member(_121181, _121044))]]], (611 ^ _112279) ^ [_133709, _133711, _133713, _133715] : [-(member(ordered_pair(_133711, _133709), compose(_133713, _133715))), member(_133711, universal_class), member(_133709, image(_133713, image(_133715, singleton(_133711))))], (698 ^ _112279) ^ [_136695, _136697] : [-(apply(_136697, _136695) = sum_class(image(_136697, singleton(_136695))))], (503 ^ _112279) ^ [_130030, _130032] : [-(member(ordered_pair(_130032, _130030), successor_relation)), member(_130032, universal_class), member(_130030, universal_class), successor(_130032) = _130030], (439 ^ _112279) ^ [_127699, _127701, _127703, _127705] : [-(member(ordered_pair(ordered_pair(_127703, _127701), _127699), rotate(_127705))), member(ordered_pair(ordered_pair(_127703, _127701), _127699), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_127701, _127699), _127703), _127705)], (459 ^ _112279) ^ [_128490, _128492, _128494, _128496] : [-(member(ordered_pair(ordered_pair(_128496, _128494), _128492), flip(_128490))), member(ordered_pair(ordered_pair(_128496, _128494), _128492), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_128494, _128496), _128492), _128490)], (242 ^ _112279) ^ [_120709, _120711] : [_120711 = _120709, -(singleton(_120711) = singleton(_120709))], (58 ^ _112279) ^ [_114210, _114212] : [-(function(_114210)), _114212 = _114210, function(_114212)], (335 ^ _112279) ^ [_124083, _124085] : [342 ^ _112279 : [(343 ^ _112279) ^ [] : [-(first(ordered_pair(_124085, _124083)) = _124085)], (345 ^ _112279) ^ [] : [-(second(ordered_pair(_124085, _124083)) = _124083)]], member(_124085, universal_class), member(_124083, universal_class)], (20 ^ _112279) ^ [_113027, _113029] : [-(inductive(_113027)), _113029 = _113027, inductive(_113029)], (523 ^ _112279) ^ [_130719] : [inductive(_130719), 526 ^ _112279 : [(527 ^ _112279) ^ [] : [-(member(null_class, _130719))], (529 ^ _112279) ^ [] : [-(subclass(image(successor_relation, _130719), _130719))]]], (210 ^ _112279) ^ [_119575, _119577] : [_119577 = _119575, -(inverse(_119577) = inverse(_119575))], (381 ^ _112279) ^ [_125653, _125655, _125657] : [-(member(_125653, intersection(_125657, _125655))), member(_125653, _125657), member(_125653, _125655)], (311 ^ _112279) ^ [_123126, _123128] : [-(member(unordered_pair(_123128, _123126), universal_class))], (142 ^ _112279) ^ [_117110, _117112] : [_117112 = _117110, -(flip(_117112) = flip(_117110))], (190 ^ _112279) ^ [_118885, _118887, _118889, _118891] : [-(cross_product(_118891, _118887) = cross_product(_118889, _118885)), _118891 = _118889, _118887 = _118885], (361 ^ _112279) ^ [_124999, _125001] : [-(member(ordered_pair(_125001, _124999), element_relation)), member(_124999, universal_class), member(_125001, _124999)], (136 ^ _112279) ^ [_116892, _116894] : [_116894 = _116892, -(successor(_116894) = successor(_116892))], (325 ^ _112279) ^ [_123750, _123752, _123754, _123756] : [-(member(ordered_pair(_123756, _123754), cross_product(_123752, _123750))), member(_123756, _123752), member(_123754, _123750)], (269 ^ _112279) ^ [_121822, _121824] : [_121824 = _121822, 272 ^ _112279 : [(273 ^ _112279) ^ [] : [-(subclass(_121824, _121822))], (275 ^ _112279) ^ [] : [-(subclass(_121822, _121824))]]], (409 ^ _112279) ^ [_126548, _126550, _126552] : [-(restrict(_126550, _126552, _126548) = intersection(_126550, cross_product(_126552, _126548)))], (421 ^ _112279) ^ [_127029, _127031] : [-(member(_127029, domain_of(_127031))), member(_127029, universal_class), -(restrict(_127031, singleton(_127029), universal_class) = null_class)], (621 ^ _112279) ^ [_134073] : [member(_134073, identity_relation), 625 ^ _112279 : [(626 ^ _112279) ^ [] : [-(member(624 ^ [_134073], universal_class))], (628 ^ _112279) ^ [] : [-(_134073 = ordered_pair(624 ^ [_134073], 624 ^ [_134073]))]]], (658 ^ _112279) ^ [_135290, _135292] : [-(member(image(_135290, _135292), universal_class)), member(_135292, universal_class), function(_135290)], (577 ^ _112279) ^ [_132534, _132536] : [member(_132536, power_class(_132534)), 580 ^ _112279 : [(581 ^ _112279) ^ [] : [-(member(_132536, universal_class))], (583 ^ _112279) ^ [] : [-(subclass(_132536, _132534))]]], (120 ^ _112279) ^ [_116315, _116317] : [_116317 = _116315, -(rotate(_116317) = rotate(_116315))], (561 ^ _112279) ^ [_131943, _131945] : [-(member(_131945, sum_class(_131943))), 562 ^ _112279 : [(563 ^ _112279) ^ [_132037] : [member(_131945, _132037), member(_132037, _131943)]]], (353 ^ _112279) ^ [_124756, _124758] : [member(ordered_pair(_124758, _124756), element_relation), 356 ^ _112279 : [(357 ^ _112279) ^ [] : [-(member(_124756, universal_class))], (359 ^ _112279) ^ [] : [-(member(_124758, _124756))]]], (82 ^ _112279) ^ [_114971, _114973, _114975, _114977] : [-(unordered_pair(_114977, _114973) = unordered_pair(_114975, _114971)), _114977 = _114975, _114973 = _114971], (347 ^ _112279) ^ [_124491, _124493, _124495] : [member(_124491, cross_product(_124495, _124493)), -(_124491 = ordered_pair(first(_124491), second(_124491)))], (546 ^ _112279) ^ [_131397] : [inductive(_131397), -(subclass(540 ^ [], _131397))], (678 ^ _112279) ^ [_135937, _135939] : [680 ^ _112279 : [(681 ^ _112279) ^ [] : [-(member(679 ^ [_135937, _135939], _135939))], (683 ^ _112279) ^ [] : [-(member(679 ^ [_135937, _135939], _135937))]], -(disjoint(_135939, _135937))], (313 ^ _112279) ^ [_123209] : [-(singleton(_123209) = unordered_pair(_123209, _123209))], (471 ^ _112279) ^ [_128974, _128976, _128978] : [member(_128974, union(_128978, _128976)), -(member(_128974, _128978)), -(member(_128974, _128976))], (542 ^ _112279) ^ [] : [-(member(540 ^ [], universal_class))], (4 ^ _112279) ^ [_112510, _112512] : [_112512 = _112510, -(_112510 = _112512)], (200 ^ _112279) ^ [_119244, _119246, _119248, _119250] : [-(compose(_119250, _119246) = compose(_119248, _119244)), _119250 = _119248, _119246 = _119244], (481 ^ _112279) ^ [_129242, _129244, _129246] : [482 ^ _112279 : [(483 ^ _112279) ^ [] : [member(_129242, _129246)], (485 ^ _112279) ^ [] : [member(_129242, _129244)]], -(member(_129242, union(_129246, _129244)))], (148 ^ _112279) ^ [_117328, _117330] : [_117330 = _117328, -(domain_of(_117330) = domain_of(_117328))], (703 ^ _112279) ^ [_136895] : [member(_136895, universal_class), -(_136895 = null_class), -(member(apply(699 ^ [], _136895), _136895))], (373 ^ _112279) ^ [_125402, _125404, _125406] : [member(_125402, intersection(_125406, _125404)), 376 ^ _112279 : [(377 ^ _112279) ^ [] : [-(member(_125402, _125406))], (379 ^ _112279) ^ [] : [-(member(_125402, _125404))]]], (595 ^ _112279) ^ [_133066] : [member(_133066, universal_class), -(member(power_class(_133066), universal_class))], (98 ^ _112279) ^ [_115520, _115522] : [_115522 = _115520, -(second(_115522) = second(_115520))], (30 ^ _112279) ^ [_113350, _113352, _113354, _113356] : [-(subclass(_113354, _113350)), subclass(_113356, _113352), _113356 = _113354, _113352 = _113350], (267 ^ _112279) ^ [_121686] : [-(subclass(_121686, universal_class))], (701 ^ _112279) ^ [] : [-(function(699 ^ []))], (519 ^ _112279) ^ [_130488] : [-(range_of(_130488) = domain_of(inverse(_130488)))], (216 ^ _112279) ^ [_119793, _119795] : [_119795 = _119793, -(sum_class(_119795) = sum_class(_119793))], (544 ^ _112279) ^ [] : [-(inductive(540 ^ []))], (44 ^ _112279) ^ [_113794, _113796, _113798, _113800] : [-(disjoint(_113798, _113794)), disjoint(_113800, _113796), _113800 = _113798, _113796 = _113794], (411 ^ _112279) ^ [_126639] : [member(_126639, null_class)], (585 ^ _112279) ^ [_132775, _132777] : [-(member(_132777, power_class(_132775))), member(_132777, universal_class), subclass(_132777, _132775)], (571 ^ _112279) ^ [_132297] : [member(_132297, universal_class), -(member(sum_class(_132297), universal_class))], (154 ^ _112279) ^ [_117546, _117548] : [_117548 = _117546, -(range_of(_117548) = range_of(_117546))], (391 ^ _112279) ^ [_125999, _126001] : [member(_125999, complement(_126001)), 394 ^ _112279 : [(395 ^ _112279) ^ [] : [-(member(_125999, universal_class))], (397 ^ _112279) ^ [] : [member(_125999, _126001)]]], (180 ^ _112279) ^ [_118526, _118528, _118530, _118532] : [-(ordered_pair(_118532, _118528) = ordered_pair(_118530, _118526)), _118532 = _118530, _118528 = _118526], (489 ^ _112279) ^ [_129513] : [-(successor(_129513) = union(_129513, singleton(_129513)))], (630 ^ _112279) ^ [_134378] : [-(member(_134378, identity_relation)), 631 ^ _112279 : [(632 ^ _112279) ^ [_134471] : [member(_134471, universal_class), _134378 = ordered_pair(_134471, _134471)]]], (517 ^ _112279) ^ [_130401] : [-(inverse(_130401) = domain_of(flip(cross_product(_130401, universal_class))))], (552 ^ _112279) ^ [_131632, _131634] : [member(_131634, sum_class(_131632)), 556 ^ _112279 : [(557 ^ _112279) ^ [] : [-(member(_131634, 555 ^ [_131632, _131634]))], (559 ^ _112279) ^ [] : [-(member(555 ^ [_131632, _131634], _131632))]]], (371 ^ _112279) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (160 ^ _112279) ^ [_117820, _117822, _117824, _117826, _117828, _117830] : [-(restrict(_117830, _117826, _117822) = restrict(_117828, _117824, _117820)), _117830 = _117828, _117826 = _117824, _117822 = _117820], (493 ^ _112279) ^ [_129709, _129711] : [member(ordered_pair(_129711, _129709), successor_relation), 496 ^ _112279 : [(501 ^ _112279) ^ [] : [-(successor(_129711) = _129709)], (499 ^ _112279) ^ [] : [-(member(_129709, universal_class))], (497 ^ _112279) ^ [] : [-(member(_129711, universal_class))]]], (413 ^ _112279) ^ [_126775, _126777] : [member(_126775, domain_of(_126777)), 416 ^ _112279 : [(417 ^ _112279) ^ [] : [-(member(_126775, universal_class))], (419 ^ _112279) ^ [] : [restrict(_126777, singleton(_126775), universal_class) = null_class]]], (491 ^ _112279) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (258 ^ _112279) ^ [_121358, _121360] : [260 ^ _112279 : [(261 ^ _112279) ^ [] : [-(member(259 ^ [_121358, _121360], _121360))], (263 ^ _112279) ^ [] : [member(259 ^ [_121358, _121360], _121358)]], -(subclass(_121360, _121358))], (521 ^ _112279) ^ [_130586, _130588] : [-(image(_130586, _130588) = range_of(restrict(_130586, _130588, universal_class)))], (601 ^ _112279) ^ [_133259, _133261] : [-(subclass(compose(_133259, _133261), cross_product(universal_class, universal_class)))], (451 ^ _112279) ^ [_128197, _128199, _128201, _128203] : [member(ordered_pair(ordered_pair(_128203, _128201), _128199), flip(_128197)), 454 ^ _112279 : [(455 ^ _112279) ^ [] : [-(member(ordered_pair(ordered_pair(_128203, _128201), _128199), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _112279) ^ [] : [-(member(ordered_pair(ordered_pair(_128201, _128203), _128199), _128197))]]], (399 ^ _112279) ^ [_126241, _126243] : [-(member(_126241, complement(_126243))), member(_126241, universal_class), -(member(_126241, _126243))], (92 ^ _112279) ^ [_115302, _115304] : [_115304 = _115302, -(first(_115304) = first(_115302))], (174 ^ _112279) ^ [_118280, _118282] : [_118282 = _118280, -(power_class(_118282) = power_class(_118280))], (2 ^ _112279) ^ [_112403] : [-(_112403 = _112403)], (104 ^ _112279) ^ [_115738, _115740] : [_115740 = _115738, -(complement(_115740) = complement(_115738))], (317 ^ _112279) ^ [_123485, _123487, _123489, _123491] : [member(ordered_pair(_123491, _123489), cross_product(_123487, _123485)), 320 ^ _112279 : [(321 ^ _112279) ^ [] : [-(member(_123491, _123487))], (323 ^ _112279) ^ [] : [-(member(_123489, _123485))]]], (531 ^ _112279) ^ [_130952] : [-(inductive(_130952)), member(null_class, _130952), subclass(image(successor_relation, _130952), _130952)], (68 ^ _112279) ^ [_114513, _114515, _114517, _114519] : [-(member(_114517, _114513)), member(_114519, _114515), _114519 = _114517, _114515 = _114513], (315 ^ _112279) ^ [_123306, _123308] : [-(ordered_pair(_123308, _123306) = unordered_pair(singleton(_123308), unordered_pair(_123308, singleton(_123306))))], (431 ^ _112279) ^ [_127406, _127408, _127410, _127412] : [member(ordered_pair(ordered_pair(_127410, _127408), _127406), rotate(_127412)), 434 ^ _112279 : [(435 ^ _112279) ^ [] : [-(member(ordered_pair(ordered_pair(_127410, _127408), _127406), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _112279) ^ [] : [-(member(ordered_pair(ordered_pair(_127408, _127406), _127410), _127412))]]], (110 ^ _112279) ^ [_115984, _115986, _115988, _115990] : [-(intersection(_115990, _115986) = intersection(_115988, _115984)), _115990 = _115988, _115986 = _115984], (640 ^ _112279) ^ [_134754] : [function(_134754), 643 ^ _112279 : [(644 ^ _112279) ^ [] : [-(subclass(_134754, cross_product(universal_class, universal_class)))], (646 ^ _112279) ^ [] : [-(subclass(compose(_134754, inverse(_134754)), identity_relation))]]], (668 ^ _112279) ^ [_135622, _135624] : [disjoint(_135624, _135622), 671 ^ _112279 : [(672 ^ _112279) ^ [_135761] : [member(_135761, _135624), member(_135761, _135622)]]], (449 ^ _112279) ^ [_128031] : [-(subclass(rotate(_128031), cross_product(cross_product(universal_class, universal_class), universal_class)))], (10 ^ _112279) ^ [_112714, _112716, _112718] : [-(_112718 = _112714), _112718 = _112716, _112716 = _112714], (222 ^ _112279) ^ [_120039, _120041, _120043, _120045] : [-(image(_120045, _120041) = image(_120043, _120039)), _120045 = _120043, _120041 = _120039], (648 ^ _112279) ^ [_134991] : [-(function(_134991)), subclass(_134991, cross_product(universal_class, universal_class)), subclass(compose(_134991, inverse(_134991)), identity_relation)], (126 ^ _112279) ^ [_116561, _116563, _116565, _116567] : [-(union(_116567, _116563) = union(_116565, _116561)), _116567 = _116565, _116563 = _116561], (603 ^ _112279) ^ [_133428, _133430, _133432, _133434] : [member(ordered_pair(_133430, _133428), compose(_133432, _133434)), 606 ^ _112279 : [(607 ^ _112279) ^ [] : [-(member(_133430, universal_class))], (609 ^ _112279) ^ [] : [-(member(_133428, image(_133432, image(_133434, singleton(_133430)))))]]], (232 ^ _112279) ^ [_120398, _120400, _120402, _120404] : [-(apply(_120404, _120400) = apply(_120402, _120398)), _120404 = _120402, _120400 = _120398], (299 ^ _112279) ^ [_122748, _122750, _122752] : [-(member(_122752, unordered_pair(_122750, _122748))), member(_122752, universal_class), 304 ^ _112279 : [(305 ^ _112279) ^ [] : [_122752 = _122750], (307 ^ _112279) ^ [] : [_122752 = _122748]]]], input).
% 164.10/158.69  ncf('1',plain,[member(712 ^ [], universal_class)],start(714 ^ 0)).
% 164.10/158.69  ncf('1.1',plain,[-(member(712 ^ [], universal_class)), member(712 ^ [], unordered_pair(712 ^ [], 712 ^ []))],extension(287 ^ 1,bind([[_122403, _122405, _122407], [712 ^ [], 712 ^ [], 712 ^ []]]))).
% 164.10/158.69  ncf('1.1.1',plain,[-(member(712 ^ [], unordered_pair(712 ^ [], 712 ^ []))), member(690 ^ [singleton(712 ^ [])], singleton(712 ^ [])), 690 ^ [singleton(712 ^ [])] = 712 ^ [], singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ [])],extension(68 ^ 2,bind([[_114513, _114515, _114517, _114519], [unordered_pair(712 ^ [], 712 ^ []), singleton(712 ^ []), 712 ^ [], 690 ^ [singleton(712 ^ [])]]]))).
% 164.10/158.69  ncf('1.1.1.1',plain,[-(member(690 ^ [singleton(712 ^ [])], singleton(712 ^ []))), -(singleton(712 ^ []) = null_class)],extension(687 ^ 3,bind([[_136285], [singleton(712 ^ [])]]))).
% 164.10/158.69  ncf('1.1.1.1.1',plain,[singleton(712 ^ []) = null_class],extension(716 ^ 4)).
% 164.10/158.69  ncf('1.1.1.2',plain,[-(690 ^ [singleton(712 ^ [])] = 712 ^ []), 293 : -(690 ^ [singleton(712 ^ [])] = 712 ^ []), 293 : member(690 ^ [singleton(712 ^ [])], unordered_pair(712 ^ [], 712 ^ []))],extension(287 ^ 3,bind([[_122403, _122405, _122407], [712 ^ [], 712 ^ [], 690 ^ [singleton(712 ^ [])]]]))).
% 164.10/158.69  ncf('1.1.1.2.1',plain,[690 ^ [singleton(712 ^ [])] = 712 ^ []],reduction('1.1.1')).
% 164.10/158.69  ncf('1.1.1.2.2',plain,[-(member(690 ^ [singleton(712 ^ [])], unordered_pair(712 ^ [], 712 ^ []))), member(690 ^ [singleton(712 ^ [])], singleton(712 ^ [])), 690 ^ [singleton(712 ^ [])] = 690 ^ [singleton(712 ^ [])], singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ [])],extension(68 ^ 4,bind([[_114513, _114515, _114517, _114519], [unordered_pair(712 ^ [], 712 ^ []), singleton(712 ^ []), 690 ^ [singleton(712 ^ [])], 690 ^ [singleton(712 ^ [])]]]))).
% 164.10/158.69  ncf('1.1.1.2.2.1',plain,[-(member(690 ^ [singleton(712 ^ [])], singleton(712 ^ []))), -(singleton(712 ^ []) = null_class)],extension(687 ^ 5,bind([[_136285], [singleton(712 ^ [])]]))).
% 164.10/158.69  ncf('1.1.1.2.2.1.1',plain,[singleton(712 ^ []) = null_class],extension(716 ^ 6)).
% 164.10/158.69  ncf('1.1.1.2.2.2',plain,[-(690 ^ [singleton(712 ^ [])] = 690 ^ [singleton(712 ^ [])])],extension(2 ^ 5,bind([[_112403], [690 ^ [singleton(712 ^ [])]]]))).
% 164.10/158.69  ncf('1.1.1.2.2.3',plain,[-(singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ []))],extension(313 ^ 5,bind([[_123209], [712 ^ []]]))).
% 164.10/158.69  ncf('1.1.1.3',plain,[-(singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ []))],extension(313 ^ 3,bind([[_123209], [712 ^ []]]))).
% 164.10/158.69  %-----------------------------------------------------
% 164.10/158.69  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------