%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 12:02:11 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 12:42:07 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(714 ^ _94904) ^ [] : [-(finite(711 ^ []))], (716 ^ _94904) ^ [] : [-(finite(712 ^ []))], (718 ^ _94904) ^ [] : [finite(set_union2(711 ^ [], 712 ^ []))], (212 ^ _94904) ^ [_101481, _101483] : [_101483 = _101481, -(powerset(_101483) = powerset(_101481))], (218 ^ _94904) ^ [_101707, _101709, _101711, _101713] : [-(set_union2(_101713, _101709) = set_union2(_101711, _101707)), _101713 = _101711, _101709 = _101707], (2 ^ _94904) ^ [_95048] : [-(_95048 = _95048)], (4 ^ _94904) ^ [_95155, _95157] : [_95157 = _95155, -(_95155 = _95157)], (10 ^ _94904) ^ [_95359, _95361, _95363] : [-(_95363 = _95359), _95363 = _95361, _95361 = _95359], (20 ^ _94904) ^ [_95700, _95702, _95704, _95706] : [-(subset(_95704, _95700)), subset(_95706, _95702), _95706 = _95704, _95702 = _95700], (34 ^ _94904) ^ [_96144, _96146, _96148, _96150] : [-(in(_96148, _96144)), in(_96150, _96146), _96150 = _96148, _96146 = _96144], (48 ^ _94904) ^ [_96560, _96562] : [-(relation_non_empty(_96560)), _96562 = _96560, relation_non_empty(_96562)], (58 ^ _94904) ^ [_96855, _96857] : [-(being_limit_ordinal(_96855)), _96857 = _96855, being_limit_ordinal(_96857)], (68 ^ _94904) ^ [_97150, _97152] : [-(ordinal_yielding(_97150)), _97152 = _97150, ordinal_yielding(_97152)], (78 ^ _94904) ^ [_97445, _97447] : [-(relation_empty_yielding(_97445)), _97447 = _97445, relation_empty_yielding(_97447)], (88 ^ _94904) ^ [_97740, _97742] : [-(natural(_97740)), _97742 = _97740, natural(_97742)], (98 ^ _94904) ^ [_98035, _98037] : [-(one_to_one(_98035)), _98037 = _98035, one_to_one(_98037)], (108 ^ _94904) ^ [_98330, _98332] : [-(epsilon_transitive(_98330)), _98332 = _98330, epsilon_transitive(_98332)], (118 ^ _94904) ^ [_98625, _98627] : [-(epsilon_connected(_98625)), _98627 = _98625, epsilon_connected(_98627)], (128 ^ _94904) ^ [_98920, _98922] : [-(ordinal(_98920)), _98922 = _98920, ordinal(_98922)], (138 ^ _94904) ^ [_99215, _99217] : [-(transfinite_sequence(_99215)), _99217 = _99215, transfinite_sequence(_99217)], (148 ^ _94904) ^ [_99538, _99540, _99542, _99544] : [-(element(_99542, _99538)), element(_99544, _99540), _99544 = _99542, _99540 = _99538], (162 ^ _94904) ^ [_99954, _99956] : [-(empty(_99954)), _99956 = _99954, empty(_99956)], (172 ^ _94904) ^ [_100249, _100251] : [-(relation(_100249)), _100251 = _100249, relation(_100251)], (182 ^ _94904) ^ [_100544, _100546] : [-(function(_100544)), _100546 = _100544, function(_100546)], (192 ^ _94904) ^ [_100839, _100841] : [-(function_yielding(_100839)), _100841 = _100839, function_yielding(_100841)], (202 ^ _94904) ^ [_101114, _101116] : [-(finite(_101114)), _101116 = _101114, finite(_101116)], (228 ^ _94904) ^ [_102033, _102035] : [-(subset(_102035, _102035))], (230 ^ _94904) ^ [_102142, _102144] : [in(_102144, _102142), in(_102142, _102144)], (236 ^ _94904) ^ [] : [-(empty(empty_set))], (238 ^ _94904) ^ [] : [-(relation(empty_set))], (240 ^ _94904) ^ [] : [-(empty(empty_set))], (242 ^ _94904) ^ [] : [-(relation(empty_set))], (244 ^ _94904) ^ [] : [-(relation_empty_yielding(empty_set))], (246 ^ _94904) ^ [] : [-(relation(empty_set))], (248 ^ _94904) ^ [] : [-(relation_empty_yielding(empty_set))], (250 ^ _94904) ^ [] : [-(function(empty_set))], (252 ^ _94904) ^ [] : [-(one_to_one(empty_set))], (254 ^ _94904) ^ [] : [-(empty(empty_set))], (256 ^ _94904) ^ [] : [-(epsilon_transitive(empty_set))], (258 ^ _94904) ^ [] : [-(epsilon_connected(empty_set))], (260 ^ _94904) ^ [] : [-(ordinal(empty_set))], (262 ^ _94904) ^ [] : [-(empty(empty_set))], (264 ^ _94904) ^ [_103086] : [-(set_union2(_103086, empty_set) = _103086)], (266 ^ _94904) ^ [_103196, _103198] : [in(_103198, _103196), -(element(_103198, _103196))], (272 ^ _94904) ^ [_103420, _103422, _103424] : [-(element(_103424, _103420)), in(_103424, _103422), element(_103422, powerset(_103420))], (282 ^ _94904) ^ [_103747, _103749, _103751] : [in(_103751, _103749), element(_103749, powerset(_103747)), empty(_103747)], (293 ^ _94904) ^ [_104067] : [-(element(291 ^ [_104067], _104067))], (295 ^ _94904) ^ [_104165] : [empty(_104165), -(finite(_104165))], (301 ^ _94904) ^ [_104351] : [finite(_104351), 304 ^ _94904 : [(305 ^ _94904) ^ [_104483] : [element(_104483, powerset(_104351)), -(finite(_104483))]]], (311 ^ _94904) ^ [_104688] : [empty(_104688), -(function(_104688))], (317 ^ _94904) ^ [_104874] : [328 ^ _94904 : [(329 ^ _94904) ^ [] : [-(relation(_104874))], (331 ^ _94904) ^ [] : [-(function(_104874))], (333 ^ _94904) ^ [] : [-(one_to_one(_104874))]], relation(_104874), empty(_104874), function(_104874)], (335 ^ _94904) ^ [_105381, _105383] : [-(relation(set_union2(_105383, _105381))), relation(_105383), relation(_105381)], (345 ^ _94904) ^ [_105666] : [empty(_105666), -(relation(_105666))], (351 ^ _94904) ^ [] : [empty(positive_rationals)], (353 ^ _94904) ^ [_105904] : [ordinal(_105904), 356 ^ _94904 : [(357 ^ _94904) ^ [_106044] : [element(_106044, _105904), 360 ^ _94904 : [(361 ^ _94904) ^ [] : [-(epsilon_transitive(_106044))], (363 ^ _94904) ^ [] : [-(epsilon_connected(_106044))], (365 ^ _94904) ^ [] : [-(ordinal(_106044))]]]]], (367 ^ _94904) ^ [_106390] : [374 ^ _94904 : [(375 ^ _94904) ^ [] : [-(epsilon_transitive(_106390))], (377 ^ _94904) ^ [] : [-(epsilon_connected(_106390))], (379 ^ _94904) ^ [] : [-(ordinal(_106390))], (381 ^ _94904) ^ [] : [-(natural(_106390))]], empty(_106390), ordinal(_106390)], (383 ^ _94904) ^ [_106870] : [element(_106870, positive_rationals), ordinal(_106870), 390 ^ _94904 : [(391 ^ _94904) ^ [] : [-(epsilon_transitive(_106870))], (393 ^ _94904) ^ [] : [-(epsilon_connected(_106870))], (395 ^ _94904) ^ [] : [-(ordinal(_106870))], (397 ^ _94904) ^ [] : [-(natural(_106870))]]], (399 ^ _94904) ^ [_107352] : [ordinal(_107352), 402 ^ _94904 : [(403 ^ _94904) ^ [] : [-(epsilon_transitive(_107352))], (405 ^ _94904) ^ [] : [-(epsilon_connected(_107352))]]], (407 ^ _94904) ^ [_107609] : [-(ordinal(_107609)), epsilon_transitive(_107609), epsilon_connected(_107609)], (417 ^ _94904) ^ [_107878] : [empty(_107878), 420 ^ _94904 : [(421 ^ _94904) ^ [] : [-(epsilon_transitive(_107878))], (423 ^ _94904) ^ [] : [-(epsilon_connected(_107878))], (425 ^ _94904) ^ [] : [-(ordinal(_107878))]]], (427 ^ _94904) ^ [_108189] : [empty(powerset(_108189))], (429 ^ _94904) ^ [_108297, _108299] : [-(empty(_108299)), empty(set_union2(_108299, _108297))], (435 ^ _94904) ^ [_108513, _108515] : [-(empty(_108515)), empty(set_union2(_108513, _108515))], (441 ^ _94904) ^ [_108729, _108731] : [element(_108731, _108729), -(empty(_108729)), -(in(_108731, _108729))], (451 ^ _94904) ^ [_109056, _109058] : [element(_109058, powerset(_109056)), -(subset(_109058, _109056))], (457 ^ _94904) ^ [_109222, _109224] : [subset(_109224, _109222), -(element(_109224, powerset(_109222)))], (463 ^ _94904) ^ [_109424] : [empty(_109424), -(_109424 = empty_set)], (469 ^ _94904) ^ [_109626, _109628] : [in(_109628, _109626), empty(_109626)], (475 ^ _94904) ^ [_109833, _109835] : [empty(_109835), -(_109835 = _109833), empty(_109833)], (485 ^ _94904) ^ [_110115, _110117] : [-(set_union2(_110117, _110115) = set_union2(_110115, _110117))], (487 ^ _94904) ^ [_110215, _110217] : [-(set_union2(_110217, _110217) = _110217)], (489 ^ _94904) ^ [_110327, _110329] : [-(finite(set_union2(_110329, _110327))), finite(_110329), finite(_110327)], (500 ^ _94904) ^ [] : [empty(498 ^ [])], (502 ^ _94904) ^ [] : [-(finite(498 ^ []))], (505 ^ _94904) ^ [_110853] : [-(element(503 ^ [_110853], powerset(_110853)))], (507 ^ _94904) ^ [_110924] : [-(empty(503 ^ [_110924]))], (509 ^ _94904) ^ [_110992] : [-(relation(503 ^ [_110992]))], (511 ^ _94904) ^ [_111060] : [-(function(503 ^ [_111060]))], (513 ^ _94904) ^ [_111128] : [-(one_to_one(503 ^ [_111128]))], (515 ^ _94904) ^ [_111196] : [-(epsilon_transitive(503 ^ [_111196]))], (517 ^ _94904) ^ [_111264] : [-(epsilon_connected(503 ^ [_111264]))], (519 ^ _94904) ^ [_111332] : [-(ordinal(503 ^ [_111332]))], (521 ^ _94904) ^ [_111400] : [-(natural(503 ^ [_111400]))], (523 ^ _94904) ^ [_111448] : [-(finite(503 ^ [_111448]))], (525 ^ _94904) ^ [_111563] : [-(empty(_111563)), 529 ^ _94904 : [(530 ^ _94904) ^ [] : [-(element(528 ^ [_111563], powerset(_111563)))], (532 ^ _94904) ^ [] : [empty(528 ^ [_111563])], (534 ^ _94904) ^ [] : [-(finite(528 ^ [_111563]))]]], (537 ^ _94904) ^ [] : [-(relation(535 ^ []))], (539 ^ _94904) ^ [] : [-(function(535 ^ []))], (542 ^ _94904) ^ [] : [-(relation(540 ^ []))], (544 ^ _94904) ^ [] : [-(empty(540 ^ []))], (546 ^ _94904) ^ [] : [-(function(540 ^ []))], (549 ^ _94904) ^ [] : [-(relation(547 ^ []))], (551 ^ _94904) ^ [] : [-(function(547 ^ []))], (553 ^ _94904) ^ [] : [-(one_to_one(547 ^ []))], (556 ^ _94904) ^ [] : [-(relation(554 ^ []))], (558 ^ _94904) ^ [] : [-(relation_empty_yielding(554 ^ []))], (560 ^ _94904) ^ [] : [-(function(554 ^ []))], (563 ^ _94904) ^ [] : [-(relation(561 ^ []))], (565 ^ _94904) ^ [] : [-(relation_non_empty(561 ^ []))], (567 ^ _94904) ^ [] : [-(function(561 ^ []))], (570 ^ _94904) ^ [] : [-(epsilon_transitive(568 ^ []))], (572 ^ _94904) ^ [] : [-(epsilon_connected(568 ^ []))], (574 ^ _94904) ^ [] : [-(ordinal(568 ^ []))], (576 ^ _94904) ^ [] : [-(being_limit_ordinal(568 ^ []))], (579 ^ _94904) ^ [] : [-(relation(577 ^ []))], (581 ^ _94904) ^ [] : [-(function(577 ^ []))], (583 ^ _94904) ^ [] : [-(transfinite_sequence(577 ^ []))], (585 ^ _94904) ^ [] : [-(ordinal_yielding(577 ^ []))], (588 ^ _94904) ^ [] : [-(empty(586 ^ []))], (590 ^ _94904) ^ [] : [-(relation(586 ^ []))], (593 ^ _94904) ^ [] : [empty(591 ^ [])], (595 ^ _94904) ^ [] : [-(relation(591 ^ []))], (598 ^ _94904) ^ [] : [-(relation(596 ^ []))], (600 ^ _94904) ^ [] : [-(relation_empty_yielding(596 ^ []))], (603 ^ _94904) ^ [] : [empty(601 ^ [])], (605 ^ _94904) ^ [] : [-(epsilon_transitive(601 ^ []))], (607 ^ _94904) ^ [] : [-(epsilon_connected(601 ^ []))], (609 ^ _94904) ^ [] : [-(ordinal(601 ^ []))], (611 ^ _94904) ^ [] : [-(natural(601 ^ []))], (614 ^ _94904) ^ [] : [-(element(612 ^ [], positive_rationals))], (616 ^ _94904) ^ [] : [empty(612 ^ [])], (618 ^ _94904) ^ [] : [-(epsilon_transitive(612 ^ []))], (620 ^ _94904) ^ [] : [-(epsilon_connected(612 ^ []))], (622 ^ _94904) ^ [] : [-(ordinal(612 ^ []))], (625 ^ _94904) ^ [] : [-(element(623 ^ [], positive_rationals))], (627 ^ _94904) ^ [] : [-(empty(623 ^ []))], (629 ^ _94904) ^ [] : [-(epsilon_transitive(623 ^ []))], (631 ^ _94904) ^ [] : [-(epsilon_connected(623 ^ []))], (633 ^ _94904) ^ [] : [-(ordinal(623 ^ []))], (635 ^ _94904) ^ [] : [-(natural(623 ^ []))], (638 ^ _94904) ^ [] : [-(epsilon_transitive(636 ^ []))], (640 ^ _94904) ^ [] : [-(epsilon_connected(636 ^ []))], (642 ^ _94904) ^ [] : [-(ordinal(636 ^ []))], (645 ^ _94904) ^ [] : [-(relation(643 ^ []))], (647 ^ _94904) ^ [] : [-(function(643 ^ []))], (649 ^ _94904) ^ [] : [-(one_to_one(643 ^ []))], (651 ^ _94904) ^ [] : [-(empty(643 ^ []))], (653 ^ _94904) ^ [] : [-(epsilon_transitive(643 ^ []))], (655 ^ _94904) ^ [] : [-(epsilon_connected(643 ^ []))], (657 ^ _94904) ^ [] : [-(ordinal(643 ^ []))], (660 ^ _94904) ^ [] : [empty(658 ^ [])], (662 ^ _94904) ^ [] : [-(epsilon_transitive(658 ^ []))], (664 ^ _94904) ^ [] : [-(epsilon_connected(658 ^ []))], (666 ^ _94904) ^ [] : [-(ordinal(658 ^ []))], (669 ^ _94904) ^ [] : [-(relation(667 ^ []))], (671 ^ _94904) ^ [] : [-(function(667 ^ []))], (673 ^ _94904) ^ [] : [-(transfinite_sequence(667 ^ []))], (675 ^ _94904) ^ [_116134] : [-(empty(_116134)), 679 ^ _94904 : [(680 ^ _94904) ^ [] : [-(element(678 ^ [_116134], powerset(_116134)))], (682 ^ _94904) ^ [] : [empty(678 ^ [_116134])]]], (685 ^ _94904) ^ [_116517] : [-(element(683 ^ [_116517], powerset(_116517)))], (687 ^ _94904) ^ [_116568] : [-(empty(683 ^ [_116568]))], (690 ^ _94904) ^ [] : [-(empty(688 ^ []))], (693 ^ _94904) ^ [] : [empty(691 ^ [])], (696 ^ _94904) ^ [] : [-(relation(694 ^ []))], (698 ^ _94904) ^ [] : [-(function(694 ^ []))], (700 ^ _94904) ^ [] : [-(function_yielding(694 ^ []))], (702 ^ _94904) ^ [_117049, _117051] : [-(finite(set_union2(_117051, _117049))), finite(_117051), finite(_117049)]], input).
% 0.32/1.37  ncf('1',plain,[finite(set_union2(711 ^ [], 712 ^ []))],start(718 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(finite(set_union2(711 ^ [], 712 ^ []))), finite(711 ^ []), finite(712 ^ [])],extension(489 ^ 1,bind([[_110327, _110329], [712 ^ [], 711 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(finite(711 ^ []))],extension(714 ^ 2)).
% 0.32/1.37  ncf('1.1.2',plain,[-(finite(712 ^ []))],extension(716 ^ 2)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------