%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU085+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 1.39s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU085+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 13:14:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.32/1.39  
% 0.32/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  ncf(matrix, plain, [(698 ^ _91473) ^ [] : [-(finite(695 ^ []))], (700 ^ _91473) ^ [] : [finite(set_difference(695 ^ [], 696 ^ []))], (228 ^ _91473) ^ [_98617, _98619] : [in(_98619, _98617), in(_98617, _98619)], (234 ^ _91473) ^ [_98814] : [ordinal(_98814), 237 ^ _91473 : [(238 ^ _91473) ^ [_98954] : [element(_98954, _98814), 241 ^ _91473 : [(242 ^ _91473) ^ [] : [-(epsilon_transitive(_98954))], (244 ^ _91473) ^ [] : [-(epsilon_connected(_98954))], (246 ^ _91473) ^ [] : [-(ordinal(_98954))]]]]], (248 ^ _91473) ^ [_99300] : [empty(_99300), -(finite(_99300))], (254 ^ _91473) ^ [_99486] : [empty(_99486), -(function(_99486))], (260 ^ _91473) ^ [_99672] : [ordinal(_99672), 263 ^ _91473 : [(264 ^ _91473) ^ [] : [-(epsilon_transitive(_99672))], (266 ^ _91473) ^ [] : [-(epsilon_connected(_99672))]]], (268 ^ _91473) ^ [_99929] : [empty(_99929), -(relation(_99929))], (274 ^ _91473) ^ [_100115] : [281 ^ _91473 : [(282 ^ _91473) ^ [] : [-(epsilon_transitive(_100115))], (284 ^ _91473) ^ [] : [-(epsilon_connected(_100115))], (286 ^ _91473) ^ [] : [-(ordinal(_100115))], (288 ^ _91473) ^ [] : [-(natural(_100115))]], empty(_100115), ordinal(_100115)], (290 ^ _91473) ^ [_100595] : [finite(_100595), 293 ^ _91473 : [(294 ^ _91473) ^ [_100727] : [element(_100727, powerset(_100595)), -(finite(_100727))]]], (300 ^ _91473) ^ [_100932] : [311 ^ _91473 : [(312 ^ _91473) ^ [] : [-(relation(_100932))], (314 ^ _91473) ^ [] : [-(function(_100932))], (316 ^ _91473) ^ [] : [-(one_to_one(_100932))]], relation(_100932), empty(_100932), function(_100932)], (318 ^ _91473) ^ [_101425] : [-(ordinal(_101425)), epsilon_transitive(_101425), epsilon_connected(_101425)], (328 ^ _91473) ^ [_101694] : [empty(_101694), 331 ^ _91473 : [(332 ^ _91473) ^ [] : [-(epsilon_transitive(_101694))], (334 ^ _91473) ^ [] : [-(epsilon_connected(_101694))], (336 ^ _91473) ^ [] : [-(ordinal(_101694))]]], (338 ^ _91473) ^ [_102021] : [element(_102021, positive_rationals), ordinal(_102021), 345 ^ _91473 : [(346 ^ _91473) ^ [] : [-(epsilon_transitive(_102021))], (348 ^ _91473) ^ [] : [-(epsilon_connected(_102021))], (350 ^ _91473) ^ [] : [-(ordinal(_102021))], (352 ^ _91473) ^ [] : [-(natural(_102021))]]], (355 ^ _91473) ^ [_102527] : [-(element(353 ^ [_102527], _102527))], (357 ^ _91473) ^ [_102639, _102641] : [finite(_102641), -(finite(set_difference(_102641, _102639)))], (363 ^ _91473) ^ [] : [-(empty(empty_set))], (365 ^ _91473) ^ [] : [-(relation(empty_set))], (367 ^ _91473) ^ [] : [-(relation_empty_yielding(empty_set))], (369 ^ _91473) ^ [_102984] : [empty(powerset(_102984))], (371 ^ _91473) ^ [] : [-(empty(empty_set))], (373 ^ _91473) ^ [] : [-(relation(empty_set))], (375 ^ _91473) ^ [] : [-(relation_empty_yielding(empty_set))], (377 ^ _91473) ^ [] : [-(function(empty_set))], (379 ^ _91473) ^ [] : [-(one_to_one(empty_set))], (381 ^ _91473) ^ [] : [-(empty(empty_set))], (383 ^ _91473) ^ [] : [-(epsilon_transitive(empty_set))], (385 ^ _91473) ^ [] : [-(epsilon_connected(empty_set))], (387 ^ _91473) ^ [] : [-(ordinal(empty_set))], (389 ^ _91473) ^ [_103583, _103585] : [-(relation(set_difference(_103585, _103583))), relation(_103585), relation(_103583)], (399 ^ _91473) ^ [] : [-(empty(empty_set))], (401 ^ _91473) ^ [] : [-(relation(empty_set))], (403 ^ _91473) ^ [] : [empty(positive_rationals)], (406 ^ _91473) ^ [] : [empty(404 ^ [])], (408 ^ _91473) ^ [] : [-(epsilon_transitive(404 ^ []))], (410 ^ _91473) ^ [] : [-(epsilon_connected(404 ^ []))], (412 ^ _91473) ^ [] : [-(ordinal(404 ^ []))], (414 ^ _91473) ^ [] : [-(natural(404 ^ []))], (417 ^ _91473) ^ [] : [empty(415 ^ [])], (419 ^ _91473) ^ [] : [-(finite(415 ^ []))], (422 ^ _91473) ^ [] : [-(relation(420 ^ []))], (424 ^ _91473) ^ [] : [-(function(420 ^ []))], (426 ^ _91473) ^ [] : [-(function_yielding(420 ^ []))], (429 ^ _91473) ^ [] : [-(relation(427 ^ []))], (431 ^ _91473) ^ [] : [-(function(427 ^ []))], (434 ^ _91473) ^ [] : [-(epsilon_transitive(432 ^ []))], (436 ^ _91473) ^ [] : [-(epsilon_connected(432 ^ []))], (438 ^ _91473) ^ [] : [-(ordinal(432 ^ []))], (441 ^ _91473) ^ [] : [-(epsilon_transitive(439 ^ []))], (443 ^ _91473) ^ [] : [-(epsilon_connected(439 ^ []))], (445 ^ _91473) ^ [] : [-(ordinal(439 ^ []))], (447 ^ _91473) ^ [] : [-(being_limit_ordinal(439 ^ []))], (450 ^ _91473) ^ [] : [-(empty(448 ^ []))], (452 ^ _91473) ^ [] : [-(relation(448 ^ []))], (454 ^ _91473) ^ [_105493] : [-(empty(_105493)), 458 ^ _91473 : [(459 ^ _91473) ^ [] : [-(element(457 ^ [_105493], powerset(_105493)))], (461 ^ _91473) ^ [] : [empty(457 ^ [_105493])]]], (464 ^ _91473) ^ [] : [-(empty(462 ^ []))], (467 ^ _91473) ^ [] : [-(element(465 ^ [], positive_rationals))], (469 ^ _91473) ^ [] : [empty(465 ^ [])], (471 ^ _91473) ^ [] : [-(epsilon_transitive(465 ^ []))], (473 ^ _91473) ^ [] : [-(epsilon_connected(465 ^ []))], (475 ^ _91473) ^ [] : [-(ordinal(465 ^ []))], (478 ^ _91473) ^ [_106336] : [-(element(476 ^ [_106336], powerset(_106336)))], (480 ^ _91473) ^ [_106407] : [-(empty(476 ^ [_106407]))], (482 ^ _91473) ^ [_106475] : [-(relation(476 ^ [_106475]))], (484 ^ _91473) ^ [_106543] : [-(function(476 ^ [_106543]))], (486 ^ _91473) ^ [_106611] : [-(one_to_one(476 ^ [_106611]))], (488 ^ _91473) ^ [_106679] : [-(epsilon_transitive(476 ^ [_106679]))], (490 ^ _91473) ^ [_106747] : [-(epsilon_connected(476 ^ [_106747]))], (492 ^ _91473) ^ [_106815] : [-(ordinal(476 ^ [_106815]))], (494 ^ _91473) ^ [_106883] : [-(natural(476 ^ [_106883]))], (496 ^ _91473) ^ [_106931] : [-(finite(476 ^ [_106931]))], (499 ^ _91473) ^ [] : [-(relation(497 ^ []))], (501 ^ _91473) ^ [] : [-(empty(497 ^ []))], (503 ^ _91473) ^ [] : [-(function(497 ^ []))], (506 ^ _91473) ^ [] : [-(relation(504 ^ []))], (508 ^ _91473) ^ [] : [-(function(504 ^ []))], (510 ^ _91473) ^ [] : [-(one_to_one(504 ^ []))], (512 ^ _91473) ^ [] : [-(empty(504 ^ []))], (514 ^ _91473) ^ [] : [-(epsilon_transitive(504 ^ []))], (516 ^ _91473) ^ [] : [-(epsilon_connected(504 ^ []))], (518 ^ _91473) ^ [] : [-(ordinal(504 ^ []))], (521 ^ _91473) ^ [] : [-(relation(519 ^ []))], (523 ^ _91473) ^ [] : [-(function(519 ^ []))], (525 ^ _91473) ^ [] : [-(transfinite_sequence(519 ^ []))], (527 ^ _91473) ^ [] : [-(ordinal_yielding(519 ^ []))], (530 ^ _91473) ^ [] : [empty(528 ^ [])], (532 ^ _91473) ^ [] : [-(relation(528 ^ []))], (535 ^ _91473) ^ [_108174] : [-(element(533 ^ [_108174], powerset(_108174)))], (537 ^ _91473) ^ [_108225] : [-(empty(533 ^ [_108225]))], (540 ^ _91473) ^ [] : [empty(538 ^ [])], (543 ^ _91473) ^ [] : [-(element(541 ^ [], positive_rationals))], (545 ^ _91473) ^ [] : [-(empty(541 ^ []))], (547 ^ _91473) ^ [] : [-(epsilon_transitive(541 ^ []))], (549 ^ _91473) ^ [] : [-(epsilon_connected(541 ^ []))], (551 ^ _91473) ^ [] : [-(ordinal(541 ^ []))], (553 ^ _91473) ^ [] : [-(natural(541 ^ []))], (555 ^ _91473) ^ [_108804] : [-(empty(_108804)), 559 ^ _91473 : [(560 ^ _91473) ^ [] : [-(element(558 ^ [_108804], powerset(_108804)))], (562 ^ _91473) ^ [] : [empty(558 ^ [_108804])], (564 ^ _91473) ^ [] : [-(finite(558 ^ [_108804]))]]], (567 ^ _91473) ^ [] : [-(relation(565 ^ []))], (569 ^ _91473) ^ [] : [-(function(565 ^ []))], (571 ^ _91473) ^ [] : [-(one_to_one(565 ^ []))], (574 ^ _91473) ^ [] : [empty(572 ^ [])], (576 ^ _91473) ^ [] : [-(epsilon_transitive(572 ^ []))], (578 ^ _91473) ^ [] : [-(epsilon_connected(572 ^ []))], (580 ^ _91473) ^ [] : [-(ordinal(572 ^ []))], (583 ^ _91473) ^ [] : [-(relation(581 ^ []))], (585 ^ _91473) ^ [] : [-(relation_empty_yielding(581 ^ []))], (588 ^ _91473) ^ [] : [-(relation(586 ^ []))], (590 ^ _91473) ^ [] : [-(relation_empty_yielding(586 ^ []))], (592 ^ _91473) ^ [] : [-(function(586 ^ []))], (595 ^ _91473) ^ [] : [-(relation(593 ^ []))], (597 ^ _91473) ^ [] : [-(function(593 ^ []))], (599 ^ _91473) ^ [] : [-(transfinite_sequence(593 ^ []))], (602 ^ _91473) ^ [] : [-(relation(600 ^ []))], (604 ^ _91473) ^ [] : [-(relation_non_empty(600 ^ []))], (606 ^ _91473) ^ [] : [-(function(600 ^ []))], (608 ^ _91473) ^ [_110470, _110472] : [-(subset(_110472, _110472))], (610 ^ _91473) ^ [_110579, _110581] : [-(finite(_110581)), subset(_110581, _110579), finite(_110579)], (620 ^ _91473) ^ [_110874, _110876] : [in(_110876, _110874), -(element(_110876, _110874))], (626 ^ _91473) ^ [_111084, _111086] : [element(_111086, _111084), -(empty(_111084)), -(in(_111086, _111084))], (636 ^ _91473) ^ [_111367, _111369] : [-(subset(set_difference(_111369, _111367), _111369))], (638 ^ _91473) ^ [_111450] : [-(set_difference(_111450, empty_set) = _111450)], (640 ^ _91473) ^ [_111589, _111591] : [element(_111591, powerset(_111589)), -(subset(_111591, _111589))], (646 ^ _91473) ^ [_111755, _111757] : [subset(_111757, _111755), -(element(_111757, powerset(_111755)))], (652 ^ _91473) ^ [_111942] : [-(set_difference(empty_set, _111942) = empty_set)], (654 ^ _91473) ^ [_112066, _112068, _112070] : [-(element(_112070, _112066)), in(_112070, _112068), element(_112068, powerset(_112066))], (664 ^ _91473) ^ [_112393, _112395, _112397] : [in(_112397, _112395), element(_112395, powerset(_112393)), empty(_112393)], (674 ^ _91473) ^ [_112689] : [empty(_112689), -(_112689 = empty_set)], (680 ^ _91473) ^ [_112891, _112893] : [in(_112893, _112891), empty(_112891)], (686 ^ _91473) ^ [_113078, _113080] : [empty(_113080), -(_113080 = _113078), empty(_113078)], (212 ^ _91473) ^ [_98050, _98052] : [_98052 = _98050, -(powerset(_98052) = powerset(_98050))], (218 ^ _91473) ^ [_98276, _98278, _98280, _98282] : [-(set_difference(_98282, _98278) = set_difference(_98280, _98276)), _98282 = _98280, _98278 = _98276], (2 ^ _91473) ^ [_91617] : [-(_91617 = _91617)], (4 ^ _91473) ^ [_91724, _91726] : [_91726 = _91724, -(_91724 = _91726)], (10 ^ _91473) ^ [_91928, _91930, _91932] : [-(_91932 = _91928), _91932 = _91930, _91930 = _91928], (20 ^ _91473) ^ [_92241, _92243] : [-(function_yielding(_92241)), _92243 = _92241, function_yielding(_92243)], (30 ^ _91473) ^ [_92536, _92538] : [-(being_limit_ordinal(_92536)), _92538 = _92536, being_limit_ordinal(_92538)], (40 ^ _91473) ^ [_92831, _92833] : [-(ordinal_yielding(_92831)), _92833 = _92831, ordinal_yielding(_92833)], (50 ^ _91473) ^ [_93126, _93128] : [-(natural(_93126)), _93128 = _93126, natural(_93128)], (60 ^ _91473) ^ [_93421, _93423] : [-(one_to_one(_93421)), _93423 = _93421, one_to_one(_93423)], (70 ^ _91473) ^ [_93716, _93718] : [-(epsilon_transitive(_93716)), _93718 = _93716, epsilon_transitive(_93718)], (80 ^ _91473) ^ [_94011, _94013] : [-(epsilon_connected(_94011)), _94013 = _94011, epsilon_connected(_94013)], (90 ^ _91473) ^ [_94306, _94308] : [-(ordinal(_94306)), _94308 = _94306, ordinal(_94308)], (100 ^ _91473) ^ [_94601, _94603] : [-(relation_empty_yielding(_94601)), _94603 = _94601, relation_empty_yielding(_94603)], (110 ^ _91473) ^ [_94896, _94898] : [-(transfinite_sequence(_94896)), _94898 = _94896, transfinite_sequence(_94898)], (120 ^ _91473) ^ [_95191, _95193] : [-(relation(_95191)), _95193 = _95191, relation(_95193)], (130 ^ _91473) ^ [_95486, _95488] : [-(relation_non_empty(_95486)), _95488 = _95486, relation_non_empty(_95488)], (140 ^ _91473) ^ [_95781, _95783] : [-(function(_95781)), _95783 = _95781, function(_95783)], (150 ^ _91473) ^ [_96104, _96106, _96108, _96110] : [-(subset(_96108, _96104)), subset(_96110, _96106), _96110 = _96108, _96106 = _96104], (164 ^ _91473) ^ [_96548, _96550, _96552, _96554] : [-(element(_96552, _96548)), element(_96554, _96550), _96554 = _96552, _96550 = _96548], (178 ^ _91473) ^ [_96992, _96994, _96996, _96998] : [-(in(_96996, _96992)), in(_96998, _96994), _96998 = _96996, _96994 = _96992], (192 ^ _91473) ^ [_97408, _97410] : [-(empty(_97408)), _97410 = _97408, empty(_97410)], (202 ^ _91473) ^ [_97683, _97685] : [-(finite(_97683)), _97685 = _97683, finite(_97685)]], input).
% 0.32/1.39  ncf('1',plain,[finite(set_difference(695 ^ [], 696 ^ []))],start(700 ^ 0)).
% 0.32/1.39  ncf('1.1',plain,[-(finite(set_difference(695 ^ [], 696 ^ []))), finite(695 ^ [])],extension(357 ^ 1,bind([[_102639, _102641], [696 ^ [], 695 ^ []]]))).
% 0.32/1.39  ncf('1.1.1',plain,[-(finite(695 ^ []))],extension(698 ^ 2)).
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------