%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:12 EDT 2023

% Result   : Theorem 43.46s 42.85s
% Output   : Proof 43.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 13:09:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 43.46/42.85  
% 43.46/42.85  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.46/42.85  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.46/42.85  %-----------------------------------------------------
% 43.46/42.85  ncf(matrix, plain, [(714 ^ _132881) ^ [] : [715 ^ _132881 : [(718 ^ _132881) ^ [_133043] : [in(_133043, 712 ^ []), -(finite(_133043))], (716 ^ _132881) ^ [] : [-(finite(712 ^ []))], (724 ^ _132881) ^ [] : [finite(union(712 ^ []))]], 725 ^ _132881 : [(728 ^ _132881) ^ [] : [finite(712 ^ []), 732 ^ _132881 : [(735 ^ _132881) ^ [] : [finite(731 ^ [])], (733 ^ _132881) ^ [] : [-(in(731 ^ [], 712 ^ []))]]], (726 ^ _132881) ^ [] : [-(finite(union(712 ^ [])))]]], !, (497 ^ _110165) ^ [_125649] : [-(natural(479 ^ [_125649]))], (446 ^ _110165) ^ [] : [-(epsilon_connected(442 ^ []))], (613 ^ _110165) ^ [_129316] : [-(subset(_129316, powerset(union(_129316))))], (110 ^ _110165) ^ [_113568, _113570] : [-(transfinite_sequence(_113568)), _113570 = _113568, transfinite_sequence(_113570)], (377 ^ _110165) ^ [] : [-(ordinal(empty_set))], (432 ^ _110165) ^ [] : [-(relation(430 ^ []))], (334 ^ _110165) ^ [_120552] : [element(_120552, positive_rationals), ordinal(_120552), 341 ^ _110165 : [(344 ^ _110165) ^ [] : [-(epsilon_connected(_120552))], (346 ^ _110165) ^ [] : [-(ordinal(_120552))], (348 ^ _110165) ^ [] : [-(natural(_120552))], (342 ^ _110165) ^ [] : [-(epsilon_transitive(_120552))]]], (188 ^ _110165) ^ [_115959, _115961, _115963, _115965] : [-(in(_115963, _115959)), in(_115965, _115961), _115965 = _115963, _115961 = _115959], (369 ^ _110165) ^ [] : [-(one_to_one(empty_set))], (493 ^ _110165) ^ [_125513] : [-(epsilon_connected(479 ^ [_125513]))], (574 ^ _110165) ^ [] : [-(one_to_one(568 ^ []))], (379 ^ _110165) ^ [_121888] : [ordinal(_121888), 382 ^ _110165 : [(387 ^ _110165) ^ [] : [-(ordinal(union(_121888)))], (385 ^ _110165) ^ [] : [-(epsilon_connected(union(_121888)))], (383 ^ _110165) ^ [] : [-(epsilon_transitive(union(_121888)))]]], (439 ^ _110165) ^ [] : [-(epsilon_connected(435 ^ []))], (359 ^ _110165) ^ [_121303] : [empty(powerset(_121303))], (653 ^ _110165) ^ [_130636, _130638] : [element(_130638, powerset(_130636)), -(subset(_130638, _130636))], (218 ^ _110165) ^ [_116920, _116922] : [_116922 = _116920, -(union(_116922) = union(_116920))], (4 ^ _110165) ^ [_110396, _110398] : [_110398 = _110396, -(_110396 = _110398)], (481 ^ _110165) ^ [_125102] : [-(element(479 ^ [_125102], powerset(_125102)))], (425 ^ _110165) ^ [] : [-(relation(423 ^ []))], (457 ^ _110165) ^ [_124259] : [-(empty(_124259)), 461 ^ _110165 : [(464 ^ _110165) ^ [] : [empty(460 ^ [_124259])], (462 ^ _110165) ^ [] : [-(element(460 ^ [_124259], powerset(_124259)))]]], (538 ^ _110165) ^ [_126940] : [-(element(536 ^ [_126940], powerset(_126940)))], (570 ^ _110165) ^ [] : [-(relation(568 ^ []))], (444 ^ _110165) ^ [] : [-(epsilon_transitive(442 ^ []))], (530 ^ _110165) ^ [] : [-(ordinal_yielding(522 ^ []))], (470 ^ _110165) ^ [] : [-(element(468 ^ [], positive_rationals))], (526 ^ _110165) ^ [] : [-(function(522 ^ []))], (202 ^ _110165) ^ [_116355, _116357] : [-(finite(_116355)), _116357 = _116355, finite(_116357)], (422 ^ _110165) ^ [] : [-(finite(418 ^ []))], (472 ^ _110165) ^ [] : [empty(468 ^ [])], (598 ^ _110165) ^ [] : [-(relation(596 ^ []))], (528 ^ _110165) ^ [] : [-(transfinite_sequence(522 ^ []))], (572 ^ _110165) ^ [] : [-(function(568 ^ []))], (615 ^ _110165) ^ [_129427, _129429] : [-(finite(_129429)), subset(_129429, _129427), finite(_129427)], (409 ^ _110165) ^ [] : [empty(407 ^ [])], (556 ^ _110165) ^ [] : [-(natural(544 ^ []))], (483 ^ _110165) ^ [_125173] : [-(empty(479 ^ [_125173]))], (453 ^ _110165) ^ [] : [-(empty(451 ^ []))], (411 ^ _110165) ^ [] : [-(epsilon_transitive(407 ^ []))], (586 ^ _110165) ^ [] : [-(relation(584 ^ []))], (351 ^ _110165) ^ [_121058] : [-(element(349 ^ [_121058], _121058))], (164 ^ _110165) ^ [_115192, _115194] : [-(empty(_115192)), _115194 = _115192, empty(_115194)], (100 ^ _110165) ^ [_113273, _113275] : [-(relation_empty_yielding(_113273)), _113275 = _113273, relation_empty_yielding(_113275)], (212 ^ _110165) ^ [_116722, _116724] : [_116724 = _116722, -(powerset(_116724) = powerset(_116722))], (533 ^ _110165) ^ [] : [empty(531 ^ [])], (495 ^ _110165) ^ [_125581] : [-(ordinal(479 ^ [_125581]))], (174 ^ _110165) ^ [_115515, _115517, _115519, _115521] : [-(subset(_115519, _115515)), subset(_115521, _115517), _115521 = _115519, _115517 = _115515], (697 ^ _110165) ^ [_132064, _132066] : [empty(_132066), -(_132066 = _132064), empty(_132064)], (691 ^ _110165) ^ [_131857, _131859] : [in(_131859, _131857), empty(_131857)], (474 ^ _110165) ^ [] : [-(epsilon_transitive(468 ^ []))], (70 ^ _110165) ^ [_112388, _112390] : [-(epsilon_transitive(_112388)), _112390 = _112388, epsilon_transitive(_112390)], (513 ^ _110165) ^ [] : [-(one_to_one(507 ^ []))], (485 ^ _110165) ^ [_125241] : [-(relation(479 ^ [_125241]))], (30 ^ _110165) ^ [_111208, _111210] : [-(being_limit_ordinal(_111208)), _111210 = _111208, being_limit_ordinal(_111210)], (631 ^ _110165) ^ [_129947] : [finite(_129947), -(finite(powerset(_129947)))], (558 ^ _110165) ^ [_127570] : [-(empty(_127570)), 562 ^ _110165 : [(567 ^ _110165) ^ [] : [-(finite(561 ^ [_127570]))], (565 ^ _110165) ^ [] : [empty(561 ^ [_127570])], (563 ^ _110165) ^ [] : [-(element(561 ^ [_127570], powerset(_127570)))]]], (10 ^ _110165) ^ [_110600, _110602, _110604] : [-(_110604 = _110600), _110604 = _110602, _110602 = _110600], (515 ^ _110165) ^ [] : [-(empty(507 ^ []))], (357 ^ _110165) ^ [] : [-(relation_empty_yielding(empty_set))], (415 ^ _110165) ^ [] : [-(ordinal(407 ^ []))], (643 ^ _110165) ^ [_130309, _130311] : [element(_130311, _130309), -(empty(_130309)), -(in(_130311, _130309))], (637 ^ _110165) ^ [_130103] : [finite(powerset(_130103)), -(finite(_130103))], (552 ^ _110165) ^ [] : [-(epsilon_connected(544 ^ []))], (685 ^ _110165) ^ [_131655] : [empty(_131655), -(_131655 = empty_set)], (361 ^ _110165) ^ [] : [-(empty(empty_set))], (270 ^ _110165) ^ [_118646] : [277 ^ _110165 : [(280 ^ _110165) ^ [] : [-(epsilon_connected(_118646))], (282 ^ _110165) ^ [] : [-(ordinal(_118646))], (284 ^ _110165) ^ [] : [-(natural(_118646))], (278 ^ _110165) ^ [] : [-(epsilon_transitive(_118646))]], empty(_118646), ordinal(_118646)], (579 ^ _110165) ^ [] : [-(epsilon_transitive(575 ^ []))], (371 ^ _110165) ^ [] : [-(empty(empty_set))], (314 ^ _110165) ^ [_119956] : [-(ordinal(_119956)), epsilon_transitive(_119956), epsilon_connected(_119956)], (499 ^ _110165) ^ [_125697] : [-(finite(479 ^ [_125697]))], (489 ^ _110165) ^ [_125377] : [-(one_to_one(479 ^ [_125377]))], (535 ^ _110165) ^ [] : [-(relation(531 ^ []))], (353 ^ _110165) ^ [] : [-(empty(empty_set))], (577 ^ _110165) ^ [] : [empty(575 ^ [])], (450 ^ _110165) ^ [] : [-(being_limit_ordinal(442 ^ []))], (675 ^ _110165) ^ [_131359, _131361, _131363] : [in(_131363, _131361), element(_131361, powerset(_131359)), empty(_131359)], (519 ^ _110165) ^ [] : [-(epsilon_connected(507 ^ []))], (602 ^ _110165) ^ [] : [-(transfinite_sequence(596 ^ []))], (230 ^ _110165) ^ [_117345] : [ordinal(_117345), 233 ^ _110165 : [(234 ^ _110165) ^ [_117485] : [element(_117485, _117345), 237 ^ _110165 : [(242 ^ _110165) ^ [] : [-(ordinal(_117485))], (240 ^ _110165) ^ [] : [-(epsilon_connected(_117485))], (238 ^ _110165) ^ [] : [-(epsilon_transitive(_117485))]]]]], (429 ^ _110165) ^ [] : [-(function_yielding(423 ^ []))], (437 ^ _110165) ^ [] : [-(epsilon_transitive(435 ^ []))], (476 ^ _110165) ^ [] : [-(epsilon_connected(468 ^ []))], (600 ^ _110165) ^ [] : [-(function(596 ^ []))], (607 ^ _110165) ^ [] : [-(relation_non_empty(603 ^ []))], (427 ^ _110165) ^ [] : [-(function(423 ^ []))], (441 ^ _110165) ^ [] : [-(ordinal(435 ^ []))], (588 ^ _110165) ^ [] : [-(relation_empty_yielding(584 ^ []))], (448 ^ _110165) ^ [] : [-(ordinal(442 ^ []))], (413 ^ _110165) ^ [] : [-(epsilon_connected(407 ^ []))], (20 ^ _110165) ^ [_110913, _110915] : [-(function_yielding(_110913)), _110915 = _110913, function_yielding(_110915)], (120 ^ _110165) ^ [_113863, _113865] : [-(relation(_113863)), _113865 = _113863, relation(_113865)], (605 ^ _110165) ^ [] : [-(relation(603 ^ []))], (286 ^ _110165) ^ [_119126] : [finite(_119126), 289 ^ _110165 : [(290 ^ _110165) ^ [_119258] : [element(_119258, powerset(_119126)), -(finite(_119258))]]], (540 ^ _110165) ^ [_126991] : [-(empty(536 ^ [_126991]))], (591 ^ _110165) ^ [] : [-(relation(589 ^ []))], (80 ^ _110165) ^ [_112683, _112685] : [-(epsilon_connected(_112683)), _112685 = _112683, epsilon_connected(_112685)], (395 ^ _110165) ^ [_122387] : [-(finite(union(_122387))), finite(_122387), 401 ^ _110165 : [(404 ^ _110165) ^ [] : [finite(400 ^ [_122387])], (402 ^ _110165) ^ [] : [-(in(400 ^ [_122387], _122387))]]], (250 ^ _110165) ^ [_118017] : [empty(_118017), -(function(_118017))], (502 ^ _110165) ^ [] : [-(relation(500 ^ []))], (264 ^ _110165) ^ [_118460] : [empty(_118460), -(relation(_118460))], (60 ^ _110165) ^ [_112093, _112095] : [-(one_to_one(_112093)), _112095 = _112093, one_to_one(_112095)], (130 ^ _110165) ^ [_114158, _114160] : [-(relation_non_empty(_114158)), _114160 = _114158, relation_non_empty(_114160)], (611 ^ _110165) ^ [_129236, _129238] : [-(subset(_129238, _129238))], (548 ^ _110165) ^ [] : [-(empty(544 ^ []))], (150 ^ _110165) ^ [_114776, _114778, _114780, _114782] : [-(element(_114780, _114776)), element(_114782, _114778), _114782 = _114780, _114778 = _114776], (593 ^ _110165) ^ [] : [-(relation_empty_yielding(589 ^ []))], (365 ^ _110165) ^ [] : [-(relation_empty_yielding(empty_set))], (550 ^ _110165) ^ [] : [-(epsilon_transitive(544 ^ []))], (455 ^ _110165) ^ [] : [-(relation(451 ^ []))], (393 ^ _110165) ^ [] : [empty(positive_rationals)], (363 ^ _110165) ^ [] : [-(relation(empty_set))], (391 ^ _110165) ^ [] : [-(relation(empty_set))], (504 ^ _110165) ^ [] : [-(empty(500 ^ []))], (509 ^ _110165) ^ [] : [-(relation(507 ^ []))], (367 ^ _110165) ^ [] : [-(function(empty_set))], (50 ^ _110165) ^ [_111798, _111800] : [-(natural(_111798)), _111800 = _111798, natural(_111800)], (256 ^ _110165) ^ [_118203] : [ordinal(_118203), 259 ^ _110165 : [(262 ^ _110165) ^ [] : [-(epsilon_connected(_118203))], (260 ^ _110165) ^ [] : [-(epsilon_transitive(_118203))]]], (543 ^ _110165) ^ [] : [empty(541 ^ [])], (524 ^ _110165) ^ [] : [-(relation(522 ^ []))], (90 ^ _110165) ^ [_112978, _112980] : [-(ordinal(_112978)), _112980 = _112978, ordinal(_112980)], (625 ^ _110165) ^ [_129722, _129724] : [in(_129724, _129722), -(element(_129724, _129722))], (517 ^ _110165) ^ [] : [-(epsilon_transitive(507 ^ []))], (417 ^ _110165) ^ [] : [-(natural(407 ^ []))], (224 ^ _110165) ^ [_117148, _117150] : [in(_117150, _117148), in(_117148, _117150)], (595 ^ _110165) ^ [] : [-(function(589 ^ []))], (707 ^ _110165) ^ [_132341, _132343] : [in(_132343, _132341), -(subset(_132343, union(_132341)))], (659 ^ _110165) ^ [_130802, _130804] : [subset(_130804, _130802), -(element(_130804, powerset(_130802)))], (491 ^ _110165) ^ [_125445] : [-(epsilon_transitive(479 ^ [_125445]))], (506 ^ _110165) ^ [] : [-(function(500 ^ []))], (487 ^ _110165) ^ [_125309] : [-(function(479 ^ [_125309]))], (546 ^ _110165) ^ [] : [-(element(544 ^ [], positive_rationals))], (375 ^ _110165) ^ [] : [-(epsilon_connected(empty_set))], (583 ^ _110165) ^ [] : [-(ordinal(575 ^ []))], (40 ^ _110165) ^ [_111503, _111505] : [-(ordinal_yielding(_111503)), _111505 = _111503, ordinal_yielding(_111505)], (389 ^ _110165) ^ [] : [-(empty(empty_set))], (373 ^ _110165) ^ [] : [-(epsilon_transitive(empty_set))], (244 ^ _110165) ^ [_117831] : [empty(_117831), -(finite(_117831))], (554 ^ _110165) ^ [] : [-(ordinal(544 ^ []))], (478 ^ _110165) ^ [] : [-(ordinal(468 ^ []))], (140 ^ _110165) ^ [_114453, _114455] : [-(function(_114453)), _114455 = _114453, function(_114455)], (2 ^ _110165) ^ [_110289] : [-(_110289 = _110289)], (467 ^ _110165) ^ [] : [-(empty(465 ^ []))], (665 ^ _110165) ^ [_131032, _131034, _131036] : [-(element(_131036, _131032)), in(_131036, _131034), element(_131034, powerset(_131032))], (521 ^ _110165) ^ [] : [-(ordinal(507 ^ []))], (296 ^ _110165) ^ [_119463] : [307 ^ _110165 : [(312 ^ _110165) ^ [] : [-(one_to_one(_119463))], (310 ^ _110165) ^ [] : [-(function(_119463))], (308 ^ _110165) ^ [] : [-(relation(_119463))]], relation(_119463), empty(_119463), function(_119463)], (324 ^ _110165) ^ [_120225] : [empty(_120225), 327 ^ _110165 : [(332 ^ _110165) ^ [] : [-(ordinal(_120225))], (330 ^ _110165) ^ [] : [-(epsilon_connected(_120225))], (328 ^ _110165) ^ [] : [-(epsilon_transitive(_120225))]]], (420 ^ _110165) ^ [] : [empty(418 ^ [])], (609 ^ _110165) ^ [] : [-(function(603 ^ []))], (355 ^ _110165) ^ [] : [-(relation(empty_set))], (434 ^ _110165) ^ [] : [-(function(430 ^ []))], (581 ^ _110165) ^ [] : [-(epsilon_connected(575 ^ []))], (511 ^ _110165) ^ [] : [-(function(507 ^ []))]], input).
% 43.46/42.85  ncf('1',plain,[718 : in(400 ^ [712 ^ []], 712 ^ []), 718 : -(finite(400 ^ [712 ^ []])), 728 : finite(712 ^ []), 733 : -(in(731 ^ [], 712 ^ []))],start(714 ^ 0,bind([[_133043], [400 ^ [712 ^ []]]]))).
% 43.46/42.85  ncf('1.1',plain,[-(in(400 ^ [712 ^ []], 712 ^ [])), -(finite(union(712 ^ []))), finite(712 ^ [])],extension(395 ^ 3,bind([[_122387], [712 ^ []]]))).
% 43.46/42.85  ncf('1.1.1',plain,[finite(union(712 ^ []))],extension(724 ^ 4)).
% 43.46/42.85  ncf('1.1.2',plain,[-(finite(712 ^ []))],extension(716 ^ 4)).
% 43.46/42.85  ncf('1.2',plain,[finite(400 ^ [712 ^ []]), -(finite(union(712 ^ []))), finite(712 ^ [])],extension(395 ^ 3,bind([[_122387], [712 ^ []]]))).
% 43.46/42.85  ncf('1.2.1',plain,[finite(union(712 ^ []))],extension(724 ^ 4)).
% 43.46/42.85  ncf('1.2.2',plain,[-(finite(712 ^ []))],extension(716 ^ 4)).
% 43.46/42.85  ncf('1.3',plain,[-(finite(712 ^ [])), subset(712 ^ [], powerset(union(712 ^ []))), finite(powerset(union(712 ^ [])))],extension(615 ^ 3,bind([[_129427, _129429], [powerset(union(712 ^ [])), 712 ^ []]]))).
% 43.46/42.85  ncf('1.3.1',plain,[-(subset(712 ^ [], powerset(union(712 ^ []))))],extension(613 ^ 4,bind([[_129316], [712 ^ []]]))).
% 43.46/42.85  ncf('1.3.2',plain,[-(finite(powerset(union(712 ^ [])))), finite(union(712 ^ []))],extension(631 ^ 4,bind([[_129947], [union(712 ^ [])]]))).
% 43.46/42.85  ncf('1.3.2.1',plain,[-(finite(union(712 ^ [])))],extension(726 ^ 5)).
% 43.46/42.85  ncf('1.4',plain,[in(731 ^ [], 712 ^ []), -(subset(731 ^ [], union(712 ^ [])))],extension(707 ^ 5,bind([[_132341, _132343], [712 ^ [], 731 ^ []]]))).
% 43.46/42.85  ncf('1.4.1',plain,[subset(731 ^ [], union(712 ^ [])), -(finite(731 ^ [])), finite(union(712 ^ []))],extension(615 ^ 6,bind([[_129427, _129429], [union(712 ^ []), 731 ^ []]]))).
% 43.46/42.85  ncf('1.4.1.1',plain,[finite(731 ^ [])],extension(735 ^ 7)).
% 43.46/42.85  ncf('1.4.1.2',plain,[-(finite(union(712 ^ [])))],extension(726 ^ 7)).
% 43.46/42.85  %-----------------------------------------------------
% 43.46/42.85  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------