%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:02:48 EDT 2023

% Result   : Theorem 85.57s 83.29s
% Output   : Proof 85.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n029.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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 12:48:28 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 85.57/83.29  
% 85.57/83.29  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 85.57/83.29  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.57/83.29  %-----------------------------------------------------
% 85.57/83.29  ncf(matrix, plain, [(532 ^ _102808) ^ [] : [-(subset(527 ^ [], 528 ^ []))], (534 ^ _102808) ^ [] : [527 ^ [] = empty_set], (536 ^ _102808) ^ [_103025] : [ordinal(_103025), in(_103025, 527 ^ []), 544 ^ _102808 : [(549 ^ _102808) ^ [] : [ordinal_subset(_103025, 543 ^ [_103025])], (547 ^ _102808) ^ [] : [-(in(543 ^ [_103025], 527 ^ []))], (545 ^ _102808) ^ [] : [-(ordinal(543 ^ [_103025]))]]], (530 ^ _102808) ^ [] : [-(ordinal(528 ^ []))], !, (345 ^ _86159) ^ [] : [-(relation(341 ^ []))], (451 ^ _86159) ^ [_99922, _99924] : [element(_99924, _99922), -(empty(_99922)), -(in(_99924, _99922))], (381 ^ _86159) ^ [] : [-(relation_non_empty(377 ^ []))], (355 ^ _86159) ^ [] : [-(one_to_one(349 ^ []))], (298 ^ _86159) ^ [] : [-(relation(empty_set))], (338 ^ _86159) ^ [] : [-(epsilon_connected(326 ^ []))], (198 ^ _86159) ^ [_92374] : [209 ^ _86159 : [(214 ^ _86159) ^ [] : [-(one_to_one(_92374))], (212 ^ _86159) ^ [] : [-(function(_92374))], (210 ^ _86159) ^ [] : [-(relation(_92374))]], relation(_92374), empty(_92374), function(_92374)], (178 ^ _86159) ^ [_91745] : [empty(_91745), -(function(_91745))], (351 ^ _86159) ^ [] : [-(relation(349 ^ []))], (2 ^ _86159) ^ [_86283] : [-(_86283 = _86283)], (379 ^ _86159) ^ [] : [-(relation(377 ^ []))], (236 ^ _86159) ^ [_93477, _93479] : [ordinal(_93479), ordinal(_93477), -(ordinal_subset(_93479, _93477)), -(ordinal_subset(_93477, _93479))], (288 ^ _86159) ^ [] : [-(empty(empty_set))], (362 ^ _86159) ^ [] : [-(epsilon_connected(356 ^ []))], (483 ^ _86159) ^ [_100972, _100974, _100976] : [in(_100976, _100974), element(_100974, powerset(_100972)), empty(_100972)], (325 ^ _86159) ^ [] : [-(function(319 ^ []))], (4 ^ _86159) ^ [_86390, _86392] : [_86392 = _86390, -(_86390 = _86392)], (276 ^ _86159) ^ [] : [-(relation_empty_yielding(empty_set))], (358 ^ _86159) ^ [] : [empty(356 ^ [])], (114 ^ _86159) ^ [_89739, _89741, _89743, _89745] : [-(subset(_89743, _89739)), subset(_89745, _89741), _89745 = _89743, _89741 = _89739], (417 ^ _86159) ^ [_98878, _98880] : [in(_98880, _98878), -(element(_98880, _98878))], (282 ^ _86159) ^ [] : [-(relation_empty_yielding(empty_set))], (328 ^ _86159) ^ [] : [-(relation(326 ^ []))], (192 ^ _86159) ^ [_92188] : [empty(_92188), -(relation(_92188))], (383 ^ _86159) ^ [] : [-(function(377 ^ []))], (278 ^ _86159) ^ [] : [-(empty(empty_set))], (138 ^ _86159) ^ [_90478, _90480, _90482, _90484] : [-(in(_90482, _90478)), in(_90484, _90480), _90484 = _90482, _90480 = _90478], (405 ^ _86159) ^ [_98489, _98491] : [-(ordinal_subset(_98491, _98491)), ordinal(_98491), ordinal(_98489)], (290 ^ _86159) ^ [] : [-(epsilon_transitive(empty_set))], (128 ^ _86159) ^ [_90155, _90157] : [-(ordinal(_90155)), _90157 = _90155, ordinal(_90157)], (315 ^ _86159) ^ [] : [-(relation(311 ^ []))], (60 ^ _86159) ^ [_88087, _88089] : [-(relation(_88087)), _88089 = _88087, relation(_88089)], (433 ^ _86159) ^ [_99369] : [ordinal(_99369), 436 ^ _86159 : [(437 ^ _86159) ^ [_99519] : [ordinal(_99519), -(in(_99369, _99519)), -(_99369 = _99519), -(in(_99519, _99369))]]], (423 ^ _86159) ^ [_99088, _99090] : [ordinal(_99088), in(_99090, _99088), -(ordinal(_99090))], (461 ^ _86159) ^ [_100249, _100251] : [element(_100251, powerset(_100249)), -(subset(_100251, _100249))], (321 ^ _86159) ^ [] : [-(relation(319 ^ []))], (364 ^ _86159) ^ [] : [-(ordinal(356 ^ []))], (348 ^ _86159) ^ [] : [empty(346 ^ [])], (336 ^ _86159) ^ [] : [-(epsilon_transitive(326 ^ []))], (473 ^ _86159) ^ [_100645, _100647, _100649] : [-(element(_100649, _100645)), in(_100649, _100647), element(_100647, powerset(_100645))], (292 ^ _86159) ^ [] : [-(epsilon_connected(empty_set))], (505 ^ _86159) ^ [_101677, _101679] : [in(_101679, _101677), 509 ^ _86159 : [(512 ^ _86159) ^ [_101968] : [in(_101968, _101677), in(_101968, 508 ^ [_101677, _101679])], (510 ^ _86159) ^ [] : [-(in(508 ^ [_101677, _101679], _101677))]]], (332 ^ _86159) ^ [] : [-(one_to_one(326 ^ []))], (270 ^ _86159) ^ [_94528] : [-(element(268 ^ [_94528], _94528))], (330 ^ _86159) ^ [] : [-(function(326 ^ []))], (260 ^ _86159) ^ [_94179] : [262 ^ _86159 : [(265 ^ _86159) ^ [] : [subset(261 ^ [_94179], _94179)], (263 ^ _86159) ^ [] : [-(in(261 ^ [_94179], _94179))]], -(epsilon_transitive(_94179))], (172 ^ _86159) ^ [_91548, _91550] : [in(_91550, _91548), in(_91548, _91550)], (294 ^ _86159) ^ [] : [-(ordinal(empty_set))], (334 ^ _86159) ^ [] : [-(empty(326 ^ []))], (296 ^ _86159) ^ [] : [-(empty(empty_set))], (376 ^ _86159) ^ [] : [-(function(370 ^ []))], (70 ^ _86159) ^ [_88382, _88384] : [-(relation_non_empty(_88382)), _88384 = _88382, relation_non_empty(_88384)], (303 ^ _86159) ^ [] : [-(function(299 ^ []))], (415 ^ _86159) ^ [_98769, _98771] : [-(subset(_98771, _98771))], (353 ^ _86159) ^ [] : [-(function(349 ^ []))], (369 ^ _86159) ^ [] : [-(relation_empty_yielding(365 ^ []))], (152 ^ _86159) ^ [_90902, _90904, _90906, _90908] : [-(ordinal_subset(_90906, _90902)), ordinal_subset(_90908, _90904), _90908 = _90906, _90904 = _90902], (313 ^ _86159) ^ [] : [-(empty(311 ^ []))], (80 ^ _86159) ^ [_88677, _88679] : [-(function(_88677)), _88679 = _88677, function(_88679)], (323 ^ _86159) ^ [] : [-(empty(319 ^ []))], (493 ^ _86159) ^ [_101268] : [empty(_101268), -(_101268 = empty_set)], (184 ^ _86159) ^ [_91931] : [ordinal(_91931), 187 ^ _86159 : [(190 ^ _86159) ^ [] : [-(epsilon_connected(_91931))], (188 ^ _86159) ^ [] : [-(epsilon_transitive(_91931))]]], (308 ^ _86159) ^ [] : [-(epsilon_connected(304 ^ []))], (274 ^ _86159) ^ [] : [-(relation(empty_set))], (306 ^ _86159) ^ [] : [-(epsilon_transitive(304 ^ []))], (340 ^ _86159) ^ [] : [-(ordinal(326 ^ []))], (518 ^ _86159) ^ [_102188, _102190] : [empty(_102190), -(_102190 = _102188), empty(_102188)], (40 ^ _86159) ^ [_87497, _87499] : [-(epsilon_connected(_87497)), _87499 = _87497, epsilon_connected(_87499)], (343 ^ _86159) ^ [] : [empty(341 ^ [])], (272 ^ _86159) ^ [] : [-(empty(empty_set))], (280 ^ _86159) ^ [] : [-(relation(empty_set))], (385 ^ _86159) ^ [_97942, _97944] : [ordinal(_97944), ordinal(_97942), 392 ^ _86159 : [(399 ^ _86159) ^ [] : [subset(_97944, _97942), -(ordinal_subset(_97944, _97942))], (393 ^ _86159) ^ [] : [ordinal_subset(_97944, _97942), -(subset(_97944, _97942))]]], (104 ^ _86159) ^ [_89416, _89418] : [-(empty(_89416)), _89418 = _89416, empty(_89418)], (372 ^ _86159) ^ [] : [-(relation(370 ^ []))], (301 ^ _86159) ^ [] : [-(relation(299 ^ []))], (374 ^ _86159) ^ [] : [-(relation_empty_yielding(370 ^ []))], (310 ^ _86159) ^ [] : [-(ordinal(304 ^ []))], (367 ^ _86159) ^ [] : [-(relation(365 ^ []))], (20 ^ _86159) ^ [_86907, _86909] : [-(one_to_one(_86907)), _86909 = _86907, one_to_one(_86909)], (284 ^ _86159) ^ [] : [-(function(empty_set))], (10 ^ _86159) ^ [_86594, _86596, _86598] : [-(_86598 = _86594), _86598 = _86596, _86596 = _86594], (318 ^ _86159) ^ [] : [-(empty(316 ^ []))], (286 ^ _86159) ^ [] : [-(one_to_one(empty_set))], (166 ^ _86159) ^ [_91328, _91330] : [_91330 = _91328, -(powerset(_91330) = powerset(_91328))], (216 ^ _86159) ^ [_92867] : [-(ordinal(_92867)), epsilon_transitive(_92867), epsilon_connected(_92867)], (467 ^ _86159) ^ [_100415, _100417] : [subset(_100417, _100415), -(element(_100417, powerset(_100415)))], (30 ^ _86159) ^ [_87202, _87204] : [-(epsilon_transitive(_87202)), _87204 = _87202, epsilon_transitive(_87204)], (250 ^ _86159) ^ [_93879] : [epsilon_transitive(_93879), 253 ^ _86159 : [(254 ^ _86159) ^ [_94010] : [in(_94010, _93879), -(subset(_94010, _93879))]]], (226 ^ _86159) ^ [_93136] : [empty(_93136), 229 ^ _86159 : [(234 ^ _86159) ^ [] : [-(ordinal(_93136))], (232 ^ _86159) ^ [] : [-(epsilon_connected(_93136))], (230 ^ _86159) ^ [] : [-(epsilon_transitive(_93136))]]], (499 ^ _86159) ^ [_101470, _101472] : [in(_101472, _101470), empty(_101470)], (50 ^ _86159) ^ [_87792, _87794] : [-(relation_empty_yielding(_87792)), _87794 = _87792, relation_empty_yielding(_87794)], (360 ^ _86159) ^ [] : [-(epsilon_transitive(356 ^ []))], (90 ^ _86159) ^ [_89000, _89002, _89004, _89006] : [-(element(_89004, _89000)), element(_89006, _89002), _89006 = _89004, _89002 = _89000]], input).
% 85.57/83.29  ncf('1',plain,[527 ^ [] = empty_set],start(534 ^ 0)).
% 85.57/83.29  ncf('1.1',plain,[-(527 ^ [] = empty_set), empty(527 ^ [])],extension(493 ^ 1,bind([[_101268], [527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1',plain,[-(empty(527 ^ [])), element(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []), -(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []))],extension(451 ^ 2,bind([[_99922, _99924], [527 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.1',plain,[-(element(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ [])), in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ [])],extension(417 ^ 3,bind([[_98878, _98880], [527 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.1.1',plain,[-(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ [])), in(268 ^ [527 ^ []], 527 ^ [])],extension(505 ^ 4,bind([[_101677, _101679], [527 ^ [], 268 ^ [527 ^ []]]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1',plain,[-(in(268 ^ [527 ^ []], 527 ^ [])), element(268 ^ [527 ^ []], 527 ^ []), -(empty(527 ^ []))],extension(451 ^ 5,bind([[_99922, _99924], [527 ^ [], 268 ^ [527 ^ []]]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.1',plain,[-(element(268 ^ [527 ^ []], 527 ^ [])), in(268 ^ [527 ^ []], 527 ^ []), element(527 ^ [], powerset(527 ^ []))],extension(473 ^ 6,bind([[_100645, _100647, _100649], [527 ^ [], 527 ^ [], 268 ^ [527 ^ []]]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.1.1',plain,[-(in(268 ^ [527 ^ []], 527 ^ [])), element(268 ^ [527 ^ []], 527 ^ []), -(empty(527 ^ []))],extension(451 ^ 7,bind([[_99922, _99924], [527 ^ [], 268 ^ [527 ^ []]]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.1.1.1',plain,[-(element(268 ^ [527 ^ []], 527 ^ []))],extension(270 ^ 8,bind([[_94528], [527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.1.1.2',plain,[empty(527 ^ [])],reduction('1.1')).
% 85.57/83.29  ncf('1.1.1.1.1.1.1.2',plain,[-(element(527 ^ [], powerset(527 ^ []))), subset(527 ^ [], 527 ^ [])],extension(467 ^ 7,bind([[_100415, _100417], [527 ^ [], 527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.1.2.1',plain,[-(subset(527 ^ [], 527 ^ []))],extension(415 ^ 8,bind([[_98769, _98771], [_61074, 527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.1.1.1.2',plain,[empty(527 ^ [])],reduction('1.1')).
% 85.57/83.29  ncf('1.1.1.2',plain,[in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []), ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]]), 549 : ordinal_subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(536 ^ 3,bind([[_103025], [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.1',plain,[-(ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]])), ordinal(528 ^ []), in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 528 ^ [])],extension(423 ^ 4,bind([[_99088, _99090], [528 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.1.1',plain,[-(ordinal(528 ^ []))],extension(530 ^ 5)).
% 85.57/83.29  ncf('1.1.1.2.1.2',plain,[-(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 528 ^ [])), element(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 528 ^ []), -(empty(528 ^ []))],extension(451 ^ 5,bind([[_99922, _99924], [528 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.1.2.1',plain,[-(element(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 528 ^ [])), in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []), element(527 ^ [], powerset(528 ^ []))],extension(473 ^ 6,bind([[_100645, _100647, _100649], [528 ^ [], 527 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.1.2.1.1',plain,[-(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []))],reduction('1.1.1')).
% 85.57/83.29  ncf('1.1.1.2.1.2.1.2',plain,[-(element(527 ^ [], powerset(528 ^ []))), subset(527 ^ [], 528 ^ [])],extension(467 ^ 7,bind([[_100415, _100417], [528 ^ [], 527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.2.1.2.1.2.1',plain,[-(subset(527 ^ [], 528 ^ []))],extension(532 ^ 8)).
% 85.57/83.29  ncf('1.1.1.2.1.2.2',plain,[empty(528 ^ []), in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []), element(527 ^ [], powerset(528 ^ []))],extension(483 ^ 6,bind([[_100972, _100974, _100976], [528 ^ [], 527 ^ [], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.1.2.2.1',plain,[-(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 527 ^ []))],reduction('1.1.1')).
% 85.57/83.29  ncf('1.1.1.2.1.2.2.2',plain,[-(element(527 ^ [], powerset(528 ^ []))), subset(527 ^ [], 528 ^ [])],extension(467 ^ 7,bind([[_100415, _100417], [528 ^ [], 527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.2.1.2.2.2.1',plain,[-(subset(527 ^ [], 528 ^ []))],extension(532 ^ 8)).
% 85.57/83.29  ncf('1.1.1.2.2',plain,[-(ordinal_subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), ordinal_subset(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]), 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]] = 508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]] = 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]],extension(152 ^ 6,bind([[_90902, _90904, _90906, _90908], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.1',plain,[-(ordinal_subset(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]), ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]), -(ordinal_subset(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(236 ^ 7,bind([[_93477, _93479], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.1.1',plain,[-(ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(545 ^ 8)).
% 85.57/83.29  ncf('1.1.1.2.2.1.2',plain,[-(ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(545 ^ 8)).
% 85.57/83.29  ncf('1.1.1.2.2.1.3',plain,[ordinal_subset(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],reduction('1.1.1.2.2')).
% 85.57/83.29  ncf('1.1.1.2.2.2',plain,[-(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]] = 508 ^ [527 ^ [], 268 ^ [527 ^ []]]), 437 : ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]]), 437 : -(in(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]])), 437 : -(in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), 437 : ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(433 ^ 7,bind([[_99369, _99519], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.1',plain,[-(ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]]))],lemmata('[1, 1, 1].x')).
% 85.57/83.29  ncf('1.1.1.2.2.2.2',plain,[in(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]), 512 : in(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 527 ^ []), 512 : in(268 ^ [527 ^ []], 527 ^ [])],extension(505 ^ 10,bind([[_101677, _101679, _101968], [527 ^ [], 268 ^ [527 ^ []], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.2.1',plain,[-(in(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 527 ^ []))],extension(547 ^ 13)).
% 85.57/83.29  ncf('1.1.1.2.2.2.2.2',plain,[-(in(268 ^ [527 ^ []], 527 ^ [])), element(268 ^ [527 ^ []], 527 ^ []), -(empty(527 ^ []))],extension(451 ^ 11,bind([[_99922, _99924], [527 ^ [], 268 ^ [527 ^ []]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.2.2.1',plain,[-(element(268 ^ [527 ^ []], 527 ^ []))],extension(270 ^ 12,bind([[_94528], [527 ^ []]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.2.2.2',plain,[empty(527 ^ [])],reduction('1.1')).
% 85.57/83.29  ncf('1.1.1.2.2.2.3',plain,[in(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]), 254 : -(subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), 254 : epsilon_transitive(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(250 ^ 10,bind([[_93879, _94010], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.1',plain,[subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]), 399 : -(ordinal_subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), 399 : ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]]), 399 : ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(385 ^ 13,bind([[_97942, _97944], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]], 508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.1.1',plain,[ordinal_subset(508 ^ [527 ^ [], 268 ^ [527 ^ []]], 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],reduction('1.1.1.2')).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.1.2',plain,[-(ordinal(508 ^ [527 ^ [], 268 ^ [527 ^ []]]))],lemmata('[2, 2, 1, 1, 1].x')).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.1.3',plain,[-(ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(545 ^ 14)).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.2',plain,[-(epsilon_transitive(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])), ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(184 ^ 11,bind([[_91931], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]]))).
% 85.57/83.29  ncf('1.1.1.2.2.2.3.2.1',plain,[-(ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(545 ^ 12)).
% 85.57/83.29  ncf('1.1.1.2.2.2.4',plain,[-(ordinal(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]))],extension(545 ^ 8)).
% 85.57/83.29  ncf('1.1.1.2.2.3',plain,[-(543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]] = 543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]])],extension(2 ^ 7,bind([[_86283], [543 ^ [508 ^ [527 ^ [], 268 ^ [527 ^ []]]]]]))).
% 85.57/83.29  %-----------------------------------------------------
% 85.57/83.29  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------