TSTP Solution File: SET024+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET024+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 32.93s 32.38s
% Output   : Proof 32.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET024+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 18:51:12 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 32.93/32.38  
% 32.93/32.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 32.93/32.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.93/32.38  %-----------------------------------------------------
% 32.93/32.38  ncf(matrix, plain, [(714 ^ _105191) ^ [] : [-(member(712 ^ [], universal_class))], (716 ^ _105191) ^ [] : [member(712 ^ [], singleton(712 ^ []))], (2 ^ _105191) ^ [_105335] : [-(_105335 = _105335)], (4 ^ _105191) ^ [_105442, _105444] : [_105444 = _105442, -(_105442 = _105444)], (10 ^ _105191) ^ [_105646, _105648, _105650] : [-(_105650 = _105646), _105650 = _105648, _105648 = _105646], (20 ^ _105191) ^ [_105959, _105961] : [-(inductive(_105959)), _105961 = _105959, inductive(_105961)], (30 ^ _105191) ^ [_106282, _106284, _106286, _106288] : [-(subclass(_106286, _106282)), subclass(_106288, _106284), _106288 = _106286, _106284 = _106282], (44 ^ _105191) ^ [_106726, _106728, _106730, _106732] : [-(disjoint(_106730, _106726)), disjoint(_106732, _106728), _106732 = _106730, _106728 = _106726], (58 ^ _105191) ^ [_107142, _107144] : [-(function(_107142)), _107144 = _107142, function(_107144)], (68 ^ _105191) ^ [_107445, _107447, _107449, _107451] : [-(member(_107449, _107445)), member(_107451, _107447), _107451 = _107449, _107447 = _107445], (82 ^ _105191) ^ [_107903, _107905, _107907, _107909] : [-(unordered_pair(_107909, _107905) = unordered_pair(_107907, _107903)), _107909 = _107907, _107905 = _107903], (92 ^ _105191) ^ [_108234, _108236] : [_108236 = _108234, -(first(_108236) = first(_108234))], (98 ^ _105191) ^ [_108452, _108454] : [_108454 = _108452, -(second(_108454) = second(_108452))], (104 ^ _105191) ^ [_108670, _108672] : [_108672 = _108670, -(complement(_108672) = complement(_108670))], (110 ^ _105191) ^ [_108916, _108918, _108920, _108922] : [-(intersection(_108922, _108918) = intersection(_108920, _108916)), _108922 = _108920, _108918 = _108916], (120 ^ _105191) ^ [_109247, _109249] : [_109249 = _109247, -(rotate(_109249) = rotate(_109247))], (126 ^ _105191) ^ [_109493, _109495, _109497, _109499] : [-(union(_109499, _109495) = union(_109497, _109493)), _109499 = _109497, _109495 = _109493], (136 ^ _105191) ^ [_109824, _109826] : [_109826 = _109824, -(successor(_109826) = successor(_109824))], (142 ^ _105191) ^ [_110042, _110044] : [_110044 = _110042, -(flip(_110044) = flip(_110042))], (148 ^ _105191) ^ [_110260, _110262] : [_110262 = _110260, -(domain_of(_110262) = domain_of(_110260))], (154 ^ _105191) ^ [_110478, _110480] : [_110480 = _110478, -(range_of(_110480) = range_of(_110478))], (160 ^ _105191) ^ [_110752, _110754, _110756, _110758, _110760, _110762] : [-(restrict(_110762, _110758, _110754) = restrict(_110760, _110756, _110752)), _110762 = _110760, _110758 = _110756, _110754 = _110752], (174 ^ _105191) ^ [_111212, _111214] : [_111214 = _111212, -(power_class(_111214) = power_class(_111212))], (180 ^ _105191) ^ [_111458, _111460, _111462, _111464] : [-(ordered_pair(_111464, _111460) = ordered_pair(_111462, _111458)), _111464 = _111462, _111460 = _111458], (190 ^ _105191) ^ [_111817, _111819, _111821, _111823] : [-(cross_product(_111823, _111819) = cross_product(_111821, _111817)), _111823 = _111821, _111819 = _111817], (200 ^ _105191) ^ [_112176, _112178, _112180, _112182] : [-(compose(_112182, _112178) = compose(_112180, _112176)), _112182 = _112180, _112178 = _112176], (210 ^ _105191) ^ [_112507, _112509] : [_112509 = _112507, -(inverse(_112509) = inverse(_112507))], (216 ^ _105191) ^ [_112725, _112727] : [_112727 = _112725, -(sum_class(_112727) = sum_class(_112725))], (222 ^ _105191) ^ [_112971, _112973, _112975, _112977] : [-(image(_112977, _112973) = image(_112975, _112971)), _112977 = _112975, _112973 = _112971], (242 ^ _105191) ^ [_113641, _113643] : [_113643 = _113641, -(singleton(_113643) = singleton(_113641))], (232 ^ _105191) ^ [_113330, _113332, _113334, _113336] : [-(apply(_113336, _113332) = apply(_113334, _113330)), _113336 = _113334, _113332 = _113330], (258 ^ _105191) ^ [_114290, _114292] : [260 ^ _105191 : [(261 ^ _105191) ^ [] : [-(member(259 ^ [_114290, _114292], _114292))], (263 ^ _105191) ^ [] : [member(259 ^ [_114290, _114292], _114290)]], -(subclass(_114292, _114290))], (248 ^ _105191) ^ [_113976, _113978] : [subclass(_113978, _113976), 251 ^ _105191 : [(252 ^ _105191) ^ [_114113] : [member(_114113, _113978), -(member(_114113, _113976))]]], (267 ^ _105191) ^ [_114618] : [-(subclass(_114618, universal_class))], (269 ^ _105191) ^ [_114754, _114756] : [_114756 = _114754, 272 ^ _105191 : [(273 ^ _105191) ^ [] : [-(subclass(_114756, _114754))], (275 ^ _105191) ^ [] : [-(subclass(_114754, _114756))]]], (277 ^ _105191) ^ [_114991, _114993] : [-(_114993 = _114991), subclass(_114993, _114991), subclass(_114991, _114993)], (287 ^ _105191) ^ [_115335, _115337, _115339] : [member(_115339, unordered_pair(_115337, _115335)), 290 ^ _105191 : [(291 ^ _105191) ^ [] : [-(member(_115339, universal_class))], (293 ^ _105191) ^ [] : [-(_115339 = _115337), -(_115339 = _115335)]]], (299 ^ _105191) ^ [_115680, _115682, _115684] : [-(member(_115684, unordered_pair(_115682, _115680))), member(_115684, universal_class), 304 ^ _105191 : [(305 ^ _105191) ^ [] : [_115684 = _115682], (307 ^ _105191) ^ [] : [_115684 = _115680]]], (311 ^ _105191) ^ [_116058, _116060] : [-(member(unordered_pair(_116060, _116058), universal_class))], (313 ^ _105191) ^ [_116141] : [-(singleton(_116141) = unordered_pair(_116141, _116141))], (315 ^ _105191) ^ [_116238, _116240] : [-(ordered_pair(_116240, _116238) = unordered_pair(singleton(_116240), unordered_pair(_116240, singleton(_116238))))], (317 ^ _105191) ^ [_116417, _116419, _116421, _116423] : [member(ordered_pair(_116423, _116421), cross_product(_116419, _116417)), 320 ^ _105191 : [(321 ^ _105191) ^ [] : [-(member(_116423, _116419))], (323 ^ _105191) ^ [] : [-(member(_116421, _116417))]]], (325 ^ _105191) ^ [_116682, _116684, _116686, _116688] : [-(member(ordered_pair(_116688, _116686), cross_product(_116684, _116682))), member(_116688, _116684), member(_116686, _116682)], (335 ^ _105191) ^ [_117015, _117017] : [342 ^ _105191 : [(343 ^ _105191) ^ [] : [-(first(ordered_pair(_117017, _117015)) = _117017)], (345 ^ _105191) ^ [] : [-(second(ordered_pair(_117017, _117015)) = _117015)]], member(_117017, universal_class), member(_117015, universal_class)], (347 ^ _105191) ^ [_117423, _117425, _117427] : [member(_117423, cross_product(_117427, _117425)), -(_117423 = ordered_pair(first(_117423), second(_117423)))], (353 ^ _105191) ^ [_117688, _117690] : [member(ordered_pair(_117690, _117688), element_relation), 356 ^ _105191 : [(357 ^ _105191) ^ [] : [-(member(_117688, universal_class))], (359 ^ _105191) ^ [] : [-(member(_117690, _117688))]]], (361 ^ _105191) ^ [_117931, _117933] : [-(member(ordered_pair(_117933, _117931), element_relation)), member(_117931, universal_class), member(_117933, _117931)], (371 ^ _105191) ^ [] : [-(subclass(element_relation, cross_product(universal_class, universal_class)))], (373 ^ _105191) ^ [_118334, _118336, _118338] : [member(_118334, intersection(_118338, _118336)), 376 ^ _105191 : [(377 ^ _105191) ^ [] : [-(member(_118334, _118338))], (379 ^ _105191) ^ [] : [-(member(_118334, _118336))]]], (381 ^ _105191) ^ [_118585, _118587, _118589] : [-(member(_118585, intersection(_118589, _118587))), member(_118585, _118589), member(_118585, _118587)], (391 ^ _105191) ^ [_118931, _118933] : [member(_118931, complement(_118933)), 394 ^ _105191 : [(395 ^ _105191) ^ [] : [-(member(_118931, universal_class))], (397 ^ _105191) ^ [] : [member(_118931, _118933)]]], (399 ^ _105191) ^ [_119173, _119175] : [-(member(_119173, complement(_119175))), member(_119173, universal_class), -(member(_119173, _119175))], (409 ^ _105191) ^ [_119480, _119482, _119484] : [-(restrict(_119482, _119484, _119480) = intersection(_119482, cross_product(_119484, _119480)))], (411 ^ _105191) ^ [_119571] : [member(_119571, null_class)], (413 ^ _105191) ^ [_119707, _119709] : [member(_119707, domain_of(_119709)), 416 ^ _105191 : [(417 ^ _105191) ^ [] : [-(member(_119707, universal_class))], (419 ^ _105191) ^ [] : [restrict(_119709, singleton(_119707), universal_class) = null_class]]], (421 ^ _105191) ^ [_119961, _119963] : [-(member(_119961, domain_of(_119963))), member(_119961, universal_class), -(restrict(_119963, singleton(_119961), universal_class) = null_class)], (431 ^ _105191) ^ [_120338, _120340, _120342, _120344] : [member(ordered_pair(ordered_pair(_120342, _120340), _120338), rotate(_120344)), 434 ^ _105191 : [(435 ^ _105191) ^ [] : [-(member(ordered_pair(ordered_pair(_120342, _120340), _120338), cross_product(cross_product(universal_class, universal_class), universal_class)))], (437 ^ _105191) ^ [] : [-(member(ordered_pair(ordered_pair(_120340, _120338), _120342), _120344))]]], (439 ^ _105191) ^ [_120631, _120633, _120635, _120637] : [-(member(ordered_pair(ordered_pair(_120635, _120633), _120631), rotate(_120637))), member(ordered_pair(ordered_pair(_120635, _120633), _120631), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_120633, _120631), _120635), _120637)], (449 ^ _105191) ^ [_120963] : [-(subclass(rotate(_120963), cross_product(cross_product(universal_class, universal_class), universal_class)))], (451 ^ _105191) ^ [_121129, _121131, _121133, _121135] : [member(ordered_pair(ordered_pair(_121135, _121133), _121131), flip(_121129)), 454 ^ _105191 : [(455 ^ _105191) ^ [] : [-(member(ordered_pair(ordered_pair(_121135, _121133), _121131), cross_product(cross_product(universal_class, universal_class), universal_class)))], (457 ^ _105191) ^ [] : [-(member(ordered_pair(ordered_pair(_121133, _121135), _121131), _121129))]]], (459 ^ _105191) ^ [_121422, _121424, _121426, _121428] : [-(member(ordered_pair(ordered_pair(_121428, _121426), _121424), flip(_121422))), member(ordered_pair(ordered_pair(_121428, _121426), _121424), cross_product(cross_product(universal_class, universal_class), universal_class)), member(ordered_pair(ordered_pair(_121426, _121428), _121424), _121422)], (469 ^ _105191) ^ [_121754] : [-(subclass(flip(_121754), cross_product(cross_product(universal_class, universal_class), universal_class)))], (481 ^ _105191) ^ [_122174, _122176, _122178] : [482 ^ _105191 : [(483 ^ _105191) ^ [] : [member(_122174, _122178)], (485 ^ _105191) ^ [] : [member(_122174, _122176)]], -(member(_122174, union(_122178, _122176)))], (471 ^ _105191) ^ [_121906, _121908, _121910] : [member(_121906, union(_121910, _121908)), -(member(_121906, _121910)), -(member(_121906, _121908))], (489 ^ _105191) ^ [_122445] : [-(successor(_122445) = union(_122445, singleton(_122445)))], (491 ^ _105191) ^ [] : [-(subclass(successor_relation, cross_product(universal_class, universal_class)))], (493 ^ _105191) ^ [_122641, _122643] : [member(ordered_pair(_122643, _122641), successor_relation), 496 ^ _105191 : [(497 ^ _105191) ^ [] : [-(member(_122643, universal_class))], (499 ^ _105191) ^ [] : [-(member(_122641, universal_class))], (501 ^ _105191) ^ [] : [-(successor(_122643) = _122641)]]], (503 ^ _105191) ^ [_122962, _122964] : [-(member(ordered_pair(_122964, _122962), successor_relation)), member(_122964, universal_class), member(_122962, universal_class), successor(_122964) = _122962], (517 ^ _105191) ^ [_123333] : [-(inverse(_123333) = domain_of(flip(cross_product(_123333, universal_class))))], (519 ^ _105191) ^ [_123420] : [-(range_of(_123420) = domain_of(inverse(_123420)))], (521 ^ _105191) ^ [_123518, _123520] : [-(image(_123518, _123520) = range_of(restrict(_123518, _123520, universal_class)))], (523 ^ _105191) ^ [_123651] : [inductive(_123651), 526 ^ _105191 : [(527 ^ _105191) ^ [] : [-(member(null_class, _123651))], (529 ^ _105191) ^ [] : [-(subclass(image(successor_relation, _123651), _123651))]]], (531 ^ _105191) ^ [_123884] : [-(inductive(_123884)), member(null_class, _123884), subclass(image(successor_relation, _123884), _123884)], (542 ^ _105191) ^ [] : [-(member(540 ^ [], universal_class))], (544 ^ _105191) ^ [] : [-(inductive(540 ^ []))], (546 ^ _105191) ^ [_124329] : [inductive(_124329), -(subclass(540 ^ [], _124329))], (552 ^ _105191) ^ [_124564, _124566] : [member(_124566, sum_class(_124564)), 556 ^ _105191 : [(557 ^ _105191) ^ [] : [-(member(_124566, 555 ^ [_124564, _124566]))], (559 ^ _105191) ^ [] : [-(member(555 ^ [_124564, _124566], _124564))]]], (561 ^ _105191) ^ [_124875, _124877] : [-(member(_124877, sum_class(_124875))), 562 ^ _105191 : [(563 ^ _105191) ^ [_124969] : [member(_124877, _124969), member(_124969, _124875)]]], (571 ^ _105191) ^ [_125229] : [member(_125229, universal_class), -(member(sum_class(_125229), universal_class))], (577 ^ _105191) ^ [_125466, _125468] : [member(_125468, power_class(_125466)), 580 ^ _105191 : [(581 ^ _105191) ^ [] : [-(member(_125468, universal_class))], (583 ^ _105191) ^ [] : [-(subclass(_125468, _125466))]]], (585 ^ _105191) ^ [_125707, _125709] : [-(member(_125709, power_class(_125707))), member(_125709, universal_class), subclass(_125709, _125707)], (595 ^ _105191) ^ [_125998] : [member(_125998, universal_class), -(member(power_class(_125998), universal_class))], (601 ^ _105191) ^ [_126191, _126193] : [-(subclass(compose(_126191, _126193), cross_product(universal_class, universal_class)))], (603 ^ _105191) ^ [_126360, _126362, _126364, _126366] : [member(ordered_pair(_126362, _126360), compose(_126364, _126366)), 606 ^ _105191 : [(607 ^ _105191) ^ [] : [-(member(_126362, universal_class))], (609 ^ _105191) ^ [] : [-(member(_126360, image(_126364, image(_126366, singleton(_126362)))))]]], (611 ^ _105191) ^ [_126641, _126643, _126645, _126647] : [-(member(ordered_pair(_126643, _126641), compose(_126645, _126647))), member(_126643, universal_class), member(_126641, image(_126645, image(_126647, singleton(_126643))))], (621 ^ _105191) ^ [_127005] : [member(_127005, identity_relation), 625 ^ _105191 : [(626 ^ _105191) ^ [] : [-(member(624 ^ [_127005], universal_class))], (628 ^ _105191) ^ [] : [-(_127005 = ordered_pair(624 ^ [_127005], 624 ^ [_127005]))]]], (630 ^ _105191) ^ [_127310] : [-(member(_127310, identity_relation)), 631 ^ _105191 : [(632 ^ _105191) ^ [_127403] : [member(_127403, universal_class), _127310 = ordered_pair(_127403, _127403)]]], (640 ^ _105191) ^ [_127686] : [function(_127686), 643 ^ _105191 : [(644 ^ _105191) ^ [] : [-(subclass(_127686, cross_product(universal_class, universal_class)))], (646 ^ _105191) ^ [] : [-(subclass(compose(_127686, inverse(_127686)), identity_relation))]]], (648 ^ _105191) ^ [_127923] : [-(function(_127923)), subclass(_127923, cross_product(universal_class, universal_class)), subclass(compose(_127923, inverse(_127923)), identity_relation)], (658 ^ _105191) ^ [_128222, _128224] : [-(member(image(_128222, _128224), universal_class)), member(_128224, universal_class), function(_128222)], (678 ^ _105191) ^ [_128869, _128871] : [680 ^ _105191 : [(681 ^ _105191) ^ [] : [-(member(679 ^ [_128869, _128871], _128871))], (683 ^ _105191) ^ [] : [-(member(679 ^ [_128869, _128871], _128869))]], -(disjoint(_128871, _128869))], (668 ^ _105191) ^ [_128554, _128556] : [disjoint(_128556, _128554), 671 ^ _105191 : [(672 ^ _105191) ^ [_128693] : [member(_128693, _128556), member(_128693, _128554)]]], (687 ^ _105191) ^ [_129217] : [-(_129217 = null_class), 691 ^ _105191 : [(692 ^ _105191) ^ [] : [-(member(690 ^ [_129217], universal_class))], (694 ^ _105191) ^ [] : [-(member(690 ^ [_129217], _129217))], (696 ^ _105191) ^ [] : [-(disjoint(690 ^ [_129217], _129217))]]], (698 ^ _105191) ^ [_129627, _129629] : [-(apply(_129629, _129627) = sum_class(image(_129629, singleton(_129627))))], (701 ^ _105191) ^ [] : [-(function(699 ^ []))], (703 ^ _105191) ^ [_129827] : [member(_129827, universal_class), -(_129827 = null_class), -(member(apply(699 ^ [], _129827), _129827))]], input).
% 32.93/32.38  ncf('1',plain,[member(712 ^ [], singleton(712 ^ []))],start(716 ^ 0)).
% 32.93/32.38  ncf('1.1',plain,[-(member(712 ^ [], singleton(712 ^ []))), member(712 ^ [], union(singleton(712 ^ []), universal_class)), -(member(712 ^ [], universal_class))],extension(471 ^ 1,bind([[_121906, _121908, _121910], [712 ^ [], universal_class, singleton(712 ^ [])]]))).
% 32.93/32.38  ncf('1.1.1',plain,[-(member(712 ^ [], union(singleton(712 ^ []), universal_class))), 252 : member(712 ^ [], universal_class), 252 : subclass(universal_class, union(singleton(712 ^ []), universal_class))],extension(248 ^ 2,bind([[_113976, _113978, _114113], [union(singleton(712 ^ []), universal_class), universal_class, 712 ^ []]]))).
% 32.93/32.38  ncf('1.1.1.1',plain,[-(member(712 ^ [], universal_class))],extension(714 ^ 5)).
% 32.93/32.38  ncf('1.1.1.2',plain,[-(subclass(universal_class, union(singleton(712 ^ []), universal_class))), 261 : -(member(259 ^ [union(singleton(712 ^ []), universal_class), universal_class], universal_class))],extension(258 ^ 3,bind([[_114290, _114292], [union(singleton(712 ^ []), universal_class), universal_class]]))).
% 32.93/32.38  ncf('1.1.1.2.1',plain,[member(259 ^ [union(singleton(712 ^ []), universal_class), universal_class], universal_class), -(member(259 ^ [union(singleton(712 ^ []), universal_class), universal_class], union(singleton(712 ^ []), universal_class)))],extension(481 ^ 6,bind([[_122174, _122176, _122178], [259 ^ [union(singleton(712 ^ []), universal_class), universal_class], universal_class, singleton(712 ^ [])]]))).
% 32.93/32.38  ncf('1.1.1.2.1.1',plain,[member(259 ^ [union(singleton(712 ^ []), universal_class), universal_class], union(singleton(712 ^ []), universal_class))],extension(263 ^ 7)).
% 32.93/32.38  ncf('1.1.2',plain,[member(712 ^ [], universal_class), -(member(712 ^ [], unordered_pair(712 ^ [], 712 ^ []))), 305 : 712 ^ [] = 712 ^ []],extension(299 ^ 2,bind([[_115680, _115682, _115684], [712 ^ [], 712 ^ [], 712 ^ []]]))).
% 32.93/32.38  ncf('1.1.2.1',plain,[member(712 ^ [], unordered_pair(712 ^ [], 712 ^ [])), -(member(712 ^ [], singleton(712 ^ []))), 712 ^ [] = 712 ^ [], unordered_pair(712 ^ [], 712 ^ []) = singleton(712 ^ [])],extension(68 ^ 3,bind([[_107445, _107447, _107449, _107451], [singleton(712 ^ []), unordered_pair(712 ^ [], 712 ^ []), 712 ^ [], 712 ^ []]]))).
% 32.93/32.38  ncf('1.1.2.1.1',plain,[member(712 ^ [], singleton(712 ^ []))],reduction('1')).
% 32.93/32.38  ncf('1.1.2.1.2',plain,[-(712 ^ [] = 712 ^ [])],extension(2 ^ 4,bind([[_105335], [712 ^ []]]))).
% 32.93/32.38  ncf('1.1.2.1.3',plain,[-(unordered_pair(712 ^ [], 712 ^ []) = singleton(712 ^ [])), singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ [])],extension(4 ^ 4,bind([[_105442, _105444], [unordered_pair(712 ^ [], 712 ^ []), singleton(712 ^ [])]]))).
% 32.93/32.38  ncf('1.1.2.1.3.1',plain,[-(singleton(712 ^ []) = unordered_pair(712 ^ [], 712 ^ []))],extension(313 ^ 5,bind([[_116141], [712 ^ []]]))).
% 32.93/32.38  ncf('1.1.2.2',plain,[-(712 ^ [] = 712 ^ [])],extension(2 ^ 5,bind([[_105335], [712 ^ []]]))).
% 32.93/32.38  %-----------------------------------------------------
% 32.93/32.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------