%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU295+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:03:02 EDT 2023

% Result   : Theorem 0.22s 1.31s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : SEU295+3 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.09  % Command  : nanocop.sh %s %d
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Thu May 18 13:16:49 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.22/1.31  
% 0.22/1.31  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.22/1.31  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/1.31  %-----------------------------------------------------
% 0.22/1.31  ncf(matrix, plain, [(706 ^ _93573) ^ [] : [-(finite(703 ^ []))], (708 ^ _93573) ^ [] : [finite(set_intersection2(703 ^ [], 704 ^ []))], (228 ^ _93573) ^ [_100717, _100719] : [in(_100719, _100717), in(_100717, _100719)], (234 ^ _93573) ^ [_100914] : [ordinal(_100914), 237 ^ _93573 : [(238 ^ _93573) ^ [_101054] : [element(_101054, _100914), 241 ^ _93573 : [(242 ^ _93573) ^ [] : [-(epsilon_transitive(_101054))], (244 ^ _93573) ^ [] : [-(epsilon_connected(_101054))], (246 ^ _93573) ^ [] : [-(ordinal(_101054))]]]]], (248 ^ _93573) ^ [_101400] : [empty(_101400), -(finite(_101400))], (254 ^ _93573) ^ [_101586] : [empty(_101586), -(function(_101586))], (260 ^ _93573) ^ [_101772] : [ordinal(_101772), 263 ^ _93573 : [(264 ^ _93573) ^ [] : [-(epsilon_transitive(_101772))], (266 ^ _93573) ^ [] : [-(epsilon_connected(_101772))]]], (268 ^ _93573) ^ [_102029] : [empty(_102029), -(relation(_102029))], (274 ^ _93573) ^ [_102215] : [281 ^ _93573 : [(282 ^ _93573) ^ [] : [-(epsilon_transitive(_102215))], (284 ^ _93573) ^ [] : [-(epsilon_connected(_102215))], (286 ^ _93573) ^ [] : [-(ordinal(_102215))], (288 ^ _93573) ^ [] : [-(natural(_102215))]], empty(_102215), ordinal(_102215)], (290 ^ _93573) ^ [_102695] : [finite(_102695), 293 ^ _93573 : [(294 ^ _93573) ^ [_102827] : [element(_102827, powerset(_102695)), -(finite(_102827))]]], (300 ^ _93573) ^ [_103032] : [311 ^ _93573 : [(312 ^ _93573) ^ [] : [-(relation(_103032))], (314 ^ _93573) ^ [] : [-(function(_103032))], (316 ^ _93573) ^ [] : [-(one_to_one(_103032))]], relation(_103032), empty(_103032), function(_103032)], (318 ^ _93573) ^ [_103525] : [-(ordinal(_103525)), epsilon_transitive(_103525), epsilon_connected(_103525)], (328 ^ _93573) ^ [_103794] : [empty(_103794), 331 ^ _93573 : [(332 ^ _93573) ^ [] : [-(epsilon_transitive(_103794))], (334 ^ _93573) ^ [] : [-(epsilon_connected(_103794))], (336 ^ _93573) ^ [] : [-(ordinal(_103794))]]], (338 ^ _93573) ^ [_104121] : [element(_104121, positive_rationals), ordinal(_104121), 345 ^ _93573 : [(346 ^ _93573) ^ [] : [-(epsilon_transitive(_104121))], (348 ^ _93573) ^ [] : [-(epsilon_connected(_104121))], (350 ^ _93573) ^ [] : [-(ordinal(_104121))], (352 ^ _93573) ^ [] : [-(natural(_104121))]]], (354 ^ _93573) ^ [_104602, _104604] : [-(set_intersection2(_104604, _104602) = set_intersection2(_104602, _104604))], (357 ^ _93573) ^ [_104727] : [-(element(355 ^ [_104727], _104727))], (359 ^ _93573) ^ [_104839, _104841] : [finite(_104839), -(finite(set_intersection2(_104841, _104839)))], (365 ^ _93573) ^ [_105051, _105053] : [finite(_105053), -(finite(set_intersection2(_105053, _105051)))], (371 ^ _93573) ^ [] : [-(empty(empty_set))], (373 ^ _93573) ^ [] : [-(relation(empty_set))], (375 ^ _93573) ^ [] : [-(relation_empty_yielding(empty_set))], (377 ^ _93573) ^ [_105426, _105428] : [-(relation(set_intersection2(_105428, _105426))), relation(_105428), relation(_105426)], (387 ^ _93573) ^ [_105695] : [empty(powerset(_105695))], (389 ^ _93573) ^ [] : [-(empty(empty_set))], (391 ^ _93573) ^ [] : [-(relation(empty_set))], (393 ^ _93573) ^ [] : [-(relation_empty_yielding(empty_set))], (395 ^ _93573) ^ [] : [-(function(empty_set))], (397 ^ _93573) ^ [] : [-(one_to_one(empty_set))], (399 ^ _93573) ^ [] : [-(empty(empty_set))], (401 ^ _93573) ^ [] : [-(epsilon_transitive(empty_set))], (403 ^ _93573) ^ [] : [-(epsilon_connected(empty_set))], (405 ^ _93573) ^ [] : [-(ordinal(empty_set))], (407 ^ _93573) ^ [] : [-(empty(empty_set))], (409 ^ _93573) ^ [] : [-(relation(empty_set))], (411 ^ _93573) ^ [] : [empty(positive_rationals)], (413 ^ _93573) ^ [_106439, _106441] : [-(set_intersection2(_106441, _106441) = _106441)], (416 ^ _93573) ^ [] : [empty(414 ^ [])], (418 ^ _93573) ^ [] : [-(epsilon_transitive(414 ^ []))], (420 ^ _93573) ^ [] : [-(epsilon_connected(414 ^ []))], (422 ^ _93573) ^ [] : [-(ordinal(414 ^ []))], (424 ^ _93573) ^ [] : [-(natural(414 ^ []))], (427 ^ _93573) ^ [] : [empty(425 ^ [])], (429 ^ _93573) ^ [] : [-(finite(425 ^ []))], (432 ^ _93573) ^ [] : [-(relation(430 ^ []))], (434 ^ _93573) ^ [] : [-(function(430 ^ []))], (436 ^ _93573) ^ [] : [-(function_yielding(430 ^ []))], (439 ^ _93573) ^ [] : [-(relation(437 ^ []))], (441 ^ _93573) ^ [] : [-(function(437 ^ []))], (444 ^ _93573) ^ [] : [-(epsilon_transitive(442 ^ []))], (446 ^ _93573) ^ [] : [-(epsilon_connected(442 ^ []))], (448 ^ _93573) ^ [] : [-(ordinal(442 ^ []))], (451 ^ _93573) ^ [] : [-(epsilon_transitive(449 ^ []))], (453 ^ _93573) ^ [] : [-(epsilon_connected(449 ^ []))], (455 ^ _93573) ^ [] : [-(ordinal(449 ^ []))], (457 ^ _93573) ^ [] : [-(being_limit_ordinal(449 ^ []))], (460 ^ _93573) ^ [] : [-(empty(458 ^ []))], (462 ^ _93573) ^ [] : [-(relation(458 ^ []))], (464 ^ _93573) ^ [_108002] : [-(empty(_108002)), 468 ^ _93573 : [(469 ^ _93573) ^ [] : [-(element(467 ^ [_108002], powerset(_108002)))], (471 ^ _93573) ^ [] : [empty(467 ^ [_108002])]]], (474 ^ _93573) ^ [] : [-(empty(472 ^ []))], (477 ^ _93573) ^ [] : [-(element(475 ^ [], positive_rationals))], (479 ^ _93573) ^ [] : [empty(475 ^ [])], (481 ^ _93573) ^ [] : [-(epsilon_transitive(475 ^ []))], (483 ^ _93573) ^ [] : [-(epsilon_connected(475 ^ []))], (485 ^ _93573) ^ [] : [-(ordinal(475 ^ []))], (488 ^ _93573) ^ [_108845] : [-(element(486 ^ [_108845], powerset(_108845)))], (490 ^ _93573) ^ [_108916] : [-(empty(486 ^ [_108916]))], (492 ^ _93573) ^ [_108984] : [-(relation(486 ^ [_108984]))], (494 ^ _93573) ^ [_109052] : [-(function(486 ^ [_109052]))], (496 ^ _93573) ^ [_109120] : [-(one_to_one(486 ^ [_109120]))], (498 ^ _93573) ^ [_109188] : [-(epsilon_transitive(486 ^ [_109188]))], (500 ^ _93573) ^ [_109256] : [-(epsilon_connected(486 ^ [_109256]))], (502 ^ _93573) ^ [_109324] : [-(ordinal(486 ^ [_109324]))], (504 ^ _93573) ^ [_109392] : [-(natural(486 ^ [_109392]))], (506 ^ _93573) ^ [_109440] : [-(finite(486 ^ [_109440]))], (509 ^ _93573) ^ [] : [-(relation(507 ^ []))], (511 ^ _93573) ^ [] : [-(empty(507 ^ []))], (513 ^ _93573) ^ [] : [-(function(507 ^ []))], (516 ^ _93573) ^ [] : [-(relation(514 ^ []))], (518 ^ _93573) ^ [] : [-(function(514 ^ []))], (520 ^ _93573) ^ [] : [-(one_to_one(514 ^ []))], (522 ^ _93573) ^ [] : [-(empty(514 ^ []))], (524 ^ _93573) ^ [] : [-(epsilon_transitive(514 ^ []))], (526 ^ _93573) ^ [] : [-(epsilon_connected(514 ^ []))], (528 ^ _93573) ^ [] : [-(ordinal(514 ^ []))], (531 ^ _93573) ^ [] : [-(relation(529 ^ []))], (533 ^ _93573) ^ [] : [-(function(529 ^ []))], (535 ^ _93573) ^ [] : [-(transfinite_sequence(529 ^ []))], (537 ^ _93573) ^ [] : [-(ordinal_yielding(529 ^ []))], (540 ^ _93573) ^ [] : [empty(538 ^ [])], (542 ^ _93573) ^ [] : [-(relation(538 ^ []))], (545 ^ _93573) ^ [_110683] : [-(element(543 ^ [_110683], powerset(_110683)))], (547 ^ _93573) ^ [_110734] : [-(empty(543 ^ [_110734]))], (550 ^ _93573) ^ [] : [empty(548 ^ [])], (553 ^ _93573) ^ [] : [-(element(551 ^ [], positive_rationals))], (555 ^ _93573) ^ [] : [-(empty(551 ^ []))], (557 ^ _93573) ^ [] : [-(epsilon_transitive(551 ^ []))], (559 ^ _93573) ^ [] : [-(epsilon_connected(551 ^ []))], (561 ^ _93573) ^ [] : [-(ordinal(551 ^ []))], (563 ^ _93573) ^ [] : [-(natural(551 ^ []))], (565 ^ _93573) ^ [_111313] : [-(empty(_111313)), 569 ^ _93573 : [(570 ^ _93573) ^ [] : [-(element(568 ^ [_111313], powerset(_111313)))], (572 ^ _93573) ^ [] : [empty(568 ^ [_111313])], (574 ^ _93573) ^ [] : [-(finite(568 ^ [_111313]))]]], (577 ^ _93573) ^ [] : [-(relation(575 ^ []))], (579 ^ _93573) ^ [] : [-(function(575 ^ []))], (581 ^ _93573) ^ [] : [-(one_to_one(575 ^ []))], (584 ^ _93573) ^ [] : [empty(582 ^ [])], (586 ^ _93573) ^ [] : [-(epsilon_transitive(582 ^ []))], (588 ^ _93573) ^ [] : [-(epsilon_connected(582 ^ []))], (590 ^ _93573) ^ [] : [-(ordinal(582 ^ []))], (593 ^ _93573) ^ [] : [-(relation(591 ^ []))], (595 ^ _93573) ^ [] : [-(relation_empty_yielding(591 ^ []))], (598 ^ _93573) ^ [] : [-(relation(596 ^ []))], (600 ^ _93573) ^ [] : [-(relation_empty_yielding(596 ^ []))], (602 ^ _93573) ^ [] : [-(function(596 ^ []))], (605 ^ _93573) ^ [] : [-(relation(603 ^ []))], (607 ^ _93573) ^ [] : [-(function(603 ^ []))], (609 ^ _93573) ^ [] : [-(transfinite_sequence(603 ^ []))], (612 ^ _93573) ^ [] : [-(relation(610 ^ []))], (614 ^ _93573) ^ [] : [-(relation_non_empty(610 ^ []))], (616 ^ _93573) ^ [] : [-(function(610 ^ []))], (618 ^ _93573) ^ [_112979, _112981] : [-(subset(_112981, _112981))], (620 ^ _93573) ^ [_113088, _113090] : [-(finite(_113090)), subset(_113090, _113088), finite(_113088)], (630 ^ _93573) ^ [_113368, _113370] : [-(subset(set_intersection2(_113370, _113368), _113370))], (632 ^ _93573) ^ [_113480, _113482] : [in(_113482, _113480), -(element(_113482, _113480))], (638 ^ _93573) ^ [_113661] : [-(set_intersection2(_113661, empty_set) = empty_set)], (640 ^ _93573) ^ [_113771, _113773] : [element(_113773, _113771), -(empty(_113771)), -(in(_113773, _113771))], (650 ^ _93573) ^ [_114098, _114100] : [element(_114100, powerset(_114098)), -(subset(_114100, _114098))], (656 ^ _93573) ^ [_114264, _114266] : [subset(_114266, _114264), -(element(_114266, powerset(_114264)))], (662 ^ _93573) ^ [_114494, _114496, _114498] : [-(element(_114498, _114494)), in(_114498, _114496), element(_114496, powerset(_114494))], (672 ^ _93573) ^ [_114821, _114823, _114825] : [in(_114825, _114823), element(_114823, powerset(_114821)), empty(_114821)], (682 ^ _93573) ^ [_115117] : [empty(_115117), -(_115117 = empty_set)], (688 ^ _93573) ^ [_115319, _115321] : [in(_115321, _115319), empty(_115319)], (694 ^ _93573) ^ [_115506, _115508] : [empty(_115508), -(_115508 = _115506), empty(_115506)], (212 ^ _93573) ^ [_100150, _100152] : [_100152 = _100150, -(powerset(_100152) = powerset(_100150))], (218 ^ _93573) ^ [_100376, _100378, _100380, _100382] : [-(set_intersection2(_100382, _100378) = set_intersection2(_100380, _100376)), _100382 = _100380, _100378 = _100376], (2 ^ _93573) ^ [_93717] : [-(_93717 = _93717)], (4 ^ _93573) ^ [_93824, _93826] : [_93826 = _93824, -(_93824 = _93826)], (10 ^ _93573) ^ [_94028, _94030, _94032] : [-(_94032 = _94028), _94032 = _94030, _94030 = _94028], (20 ^ _93573) ^ [_94341, _94343] : [-(function_yielding(_94341)), _94343 = _94341, function_yielding(_94343)], (30 ^ _93573) ^ [_94636, _94638] : [-(being_limit_ordinal(_94636)), _94638 = _94636, being_limit_ordinal(_94638)], (40 ^ _93573) ^ [_94931, _94933] : [-(ordinal_yielding(_94931)), _94933 = _94931, ordinal_yielding(_94933)], (50 ^ _93573) ^ [_95226, _95228] : [-(natural(_95226)), _95228 = _95226, natural(_95228)], (60 ^ _93573) ^ [_95521, _95523] : [-(one_to_one(_95521)), _95523 = _95521, one_to_one(_95523)], (70 ^ _93573) ^ [_95816, _95818] : [-(epsilon_transitive(_95816)), _95818 = _95816, epsilon_transitive(_95818)], (80 ^ _93573) ^ [_96111, _96113] : [-(epsilon_connected(_96111)), _96113 = _96111, epsilon_connected(_96113)], (90 ^ _93573) ^ [_96406, _96408] : [-(ordinal(_96406)), _96408 = _96406, ordinal(_96408)], (100 ^ _93573) ^ [_96701, _96703] : [-(relation_empty_yielding(_96701)), _96703 = _96701, relation_empty_yielding(_96703)], (110 ^ _93573) ^ [_96996, _96998] : [-(transfinite_sequence(_96996)), _96998 = _96996, transfinite_sequence(_96998)], (120 ^ _93573) ^ [_97291, _97293] : [-(relation(_97291)), _97293 = _97291, relation(_97293)], (130 ^ _93573) ^ [_97586, _97588] : [-(relation_non_empty(_97586)), _97588 = _97586, relation_non_empty(_97588)], (140 ^ _93573) ^ [_97881, _97883] : [-(function(_97881)), _97883 = _97881, function(_97883)], (150 ^ _93573) ^ [_98204, _98206, _98208, _98210] : [-(subset(_98208, _98204)), subset(_98210, _98206), _98210 = _98208, _98206 = _98204], (164 ^ _93573) ^ [_98648, _98650, _98652, _98654] : [-(element(_98652, _98648)), element(_98654, _98650), _98654 = _98652, _98650 = _98648], (178 ^ _93573) ^ [_99092, _99094, _99096, _99098] : [-(in(_99096, _99092)), in(_99098, _99094), _99098 = _99096, _99094 = _99092], (192 ^ _93573) ^ [_99508, _99510] : [-(empty(_99508)), _99510 = _99508, empty(_99510)], (202 ^ _93573) ^ [_99783, _99785] : [-(finite(_99783)), _99785 = _99783, finite(_99785)]], input).
% 0.22/1.31  ncf('1',plain,[finite(set_intersection2(703 ^ [], 704 ^ []))],start(708 ^ 0)).
% 0.22/1.31  ncf('1.1',plain,[-(finite(set_intersection2(703 ^ [], 704 ^ []))), finite(703 ^ [])],extension(365 ^ 1,bind([[_105051, _105053], [704 ^ [], 703 ^ []]]))).
% 0.22/1.31  ncf('1.1.1',plain,[-(finite(703 ^ []))],extension(706 ^ 2)).
% 0.22/1.31  %-----------------------------------------------------
% 0.22/1.31  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------