%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n019.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 13:39:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(656 ^ _85245) ^ [] : [-(subset(653 ^ [], 654 ^ []))], (658 ^ _85245) ^ [] : [-(finite(654 ^ []))], (660 ^ _85245) ^ [] : [finite(653 ^ [])], (218 ^ _85245) ^ [_92026, _92028] : [in(_92028, _92026), in(_92026, _92028)], (224 ^ _85245) ^ [_92223] : [ordinal(_92223), 227 ^ _85245 : [(228 ^ _85245) ^ [_92363] : [element(_92363, _92223), 231 ^ _85245 : [(232 ^ _85245) ^ [] : [-(epsilon_transitive(_92363))], (234 ^ _85245) ^ [] : [-(epsilon_connected(_92363))], (236 ^ _85245) ^ [] : [-(ordinal(_92363))]]]]], (238 ^ _85245) ^ [_92709] : [empty(_92709), -(finite(_92709))], (244 ^ _85245) ^ [_92895] : [empty(_92895), -(function(_92895))], (250 ^ _85245) ^ [_93081] : [ordinal(_93081), 253 ^ _85245 : [(254 ^ _85245) ^ [] : [-(epsilon_transitive(_93081))], (256 ^ _85245) ^ [] : [-(epsilon_connected(_93081))]]], (258 ^ _85245) ^ [_93338] : [empty(_93338), -(relation(_93338))], (264 ^ _85245) ^ [_93524] : [271 ^ _85245 : [(272 ^ _85245) ^ [] : [-(epsilon_transitive(_93524))], (274 ^ _85245) ^ [] : [-(epsilon_connected(_93524))], (276 ^ _85245) ^ [] : [-(ordinal(_93524))], (278 ^ _85245) ^ [] : [-(natural(_93524))]], empty(_93524), ordinal(_93524)], (280 ^ _85245) ^ [_94004] : [finite(_94004), 283 ^ _85245 : [(284 ^ _85245) ^ [_94136] : [element(_94136, powerset(_94004)), -(finite(_94136))]]], (290 ^ _85245) ^ [_94341] : [301 ^ _85245 : [(302 ^ _85245) ^ [] : [-(relation(_94341))], (304 ^ _85245) ^ [] : [-(function(_94341))], (306 ^ _85245) ^ [] : [-(one_to_one(_94341))]], relation(_94341), empty(_94341), function(_94341)], (308 ^ _85245) ^ [_94834] : [-(ordinal(_94834)), epsilon_transitive(_94834), epsilon_connected(_94834)], (318 ^ _85245) ^ [_95103] : [empty(_95103), 321 ^ _85245 : [(322 ^ _85245) ^ [] : [-(epsilon_transitive(_95103))], (324 ^ _85245) ^ [] : [-(epsilon_connected(_95103))], (326 ^ _85245) ^ [] : [-(ordinal(_95103))]]], (328 ^ _85245) ^ [_95430] : [element(_95430, positive_rationals), ordinal(_95430), 335 ^ _85245 : [(336 ^ _85245) ^ [] : [-(epsilon_transitive(_95430))], (338 ^ _85245) ^ [] : [-(epsilon_connected(_95430))], (340 ^ _85245) ^ [] : [-(ordinal(_95430))], (342 ^ _85245) ^ [] : [-(natural(_95430))]]], (345 ^ _85245) ^ [_95936] : [-(element(343 ^ [_95936], _95936))], (347 ^ _85245) ^ [] : [-(empty(empty_set))], (349 ^ _85245) ^ [] : [-(relation(empty_set))], (351 ^ _85245) ^ [] : [-(relation_empty_yielding(empty_set))], (353 ^ _85245) ^ [_96181] : [empty(powerset(_96181))], (355 ^ _85245) ^ [] : [-(empty(empty_set))], (357 ^ _85245) ^ [] : [-(relation(empty_set))], (359 ^ _85245) ^ [] : [-(relation_empty_yielding(empty_set))], (361 ^ _85245) ^ [] : [-(function(empty_set))], (363 ^ _85245) ^ [] : [-(one_to_one(empty_set))], (365 ^ _85245) ^ [] : [-(empty(empty_set))], (367 ^ _85245) ^ [] : [-(epsilon_transitive(empty_set))], (369 ^ _85245) ^ [] : [-(epsilon_connected(empty_set))], (371 ^ _85245) ^ [] : [-(ordinal(empty_set))], (373 ^ _85245) ^ [] : [-(empty(empty_set))], (375 ^ _85245) ^ [] : [-(relation(empty_set))], (377 ^ _85245) ^ [] : [empty(positive_rationals)], (380 ^ _85245) ^ [] : [empty(378 ^ [])], (382 ^ _85245) ^ [] : [-(epsilon_transitive(378 ^ []))], (384 ^ _85245) ^ [] : [-(epsilon_connected(378 ^ []))], (386 ^ _85245) ^ [] : [-(ordinal(378 ^ []))], (388 ^ _85245) ^ [] : [-(natural(378 ^ []))], (391 ^ _85245) ^ [] : [empty(389 ^ [])], (393 ^ _85245) ^ [] : [-(finite(389 ^ []))], (396 ^ _85245) ^ [] : [-(relation(394 ^ []))], (398 ^ _85245) ^ [] : [-(function(394 ^ []))], (400 ^ _85245) ^ [] : [-(function_yielding(394 ^ []))], (403 ^ _85245) ^ [] : [-(relation(401 ^ []))], (405 ^ _85245) ^ [] : [-(function(401 ^ []))], (408 ^ _85245) ^ [] : [-(epsilon_transitive(406 ^ []))], (410 ^ _85245) ^ [] : [-(epsilon_connected(406 ^ []))], (412 ^ _85245) ^ [] : [-(ordinal(406 ^ []))], (415 ^ _85245) ^ [] : [-(epsilon_transitive(413 ^ []))], (417 ^ _85245) ^ [] : [-(epsilon_connected(413 ^ []))], (419 ^ _85245) ^ [] : [-(ordinal(413 ^ []))], (421 ^ _85245) ^ [] : [-(being_limit_ordinal(413 ^ []))], (424 ^ _85245) ^ [] : [-(empty(422 ^ []))], (426 ^ _85245) ^ [] : [-(relation(422 ^ []))], (428 ^ _85245) ^ [_98391] : [-(empty(_98391)), 432 ^ _85245 : [(433 ^ _85245) ^ [] : [-(element(431 ^ [_98391], powerset(_98391)))], (435 ^ _85245) ^ [] : [empty(431 ^ [_98391])]]], (438 ^ _85245) ^ [] : [-(empty(436 ^ []))], (441 ^ _85245) ^ [] : [-(element(439 ^ [], positive_rationals))], (443 ^ _85245) ^ [] : [empty(439 ^ [])], (445 ^ _85245) ^ [] : [-(epsilon_transitive(439 ^ []))], (447 ^ _85245) ^ [] : [-(epsilon_connected(439 ^ []))], (449 ^ _85245) ^ [] : [-(ordinal(439 ^ []))], (452 ^ _85245) ^ [_99234] : [-(element(450 ^ [_99234], powerset(_99234)))], (454 ^ _85245) ^ [_99305] : [-(empty(450 ^ [_99305]))], (456 ^ _85245) ^ [_99373] : [-(relation(450 ^ [_99373]))], (458 ^ _85245) ^ [_99441] : [-(function(450 ^ [_99441]))], (460 ^ _85245) ^ [_99509] : [-(one_to_one(450 ^ [_99509]))], (462 ^ _85245) ^ [_99577] : [-(epsilon_transitive(450 ^ [_99577]))], (464 ^ _85245) ^ [_99645] : [-(epsilon_connected(450 ^ [_99645]))], (466 ^ _85245) ^ [_99713] : [-(ordinal(450 ^ [_99713]))], (468 ^ _85245) ^ [_99781] : [-(natural(450 ^ [_99781]))], (470 ^ _85245) ^ [_99829] : [-(finite(450 ^ [_99829]))], (473 ^ _85245) ^ [] : [-(relation(471 ^ []))], (475 ^ _85245) ^ [] : [-(empty(471 ^ []))], (477 ^ _85245) ^ [] : [-(function(471 ^ []))], (480 ^ _85245) ^ [] : [-(relation(478 ^ []))], (482 ^ _85245) ^ [] : [-(function(478 ^ []))], (484 ^ _85245) ^ [] : [-(one_to_one(478 ^ []))], (486 ^ _85245) ^ [] : [-(empty(478 ^ []))], (488 ^ _85245) ^ [] : [-(epsilon_transitive(478 ^ []))], (490 ^ _85245) ^ [] : [-(epsilon_connected(478 ^ []))], (492 ^ _85245) ^ [] : [-(ordinal(478 ^ []))], (495 ^ _85245) ^ [] : [-(relation(493 ^ []))], (497 ^ _85245) ^ [] : [-(function(493 ^ []))], (499 ^ _85245) ^ [] : [-(transfinite_sequence(493 ^ []))], (501 ^ _85245) ^ [] : [-(ordinal_yielding(493 ^ []))], (504 ^ _85245) ^ [] : [empty(502 ^ [])], (506 ^ _85245) ^ [] : [-(relation(502 ^ []))], (509 ^ _85245) ^ [_101072] : [-(element(507 ^ [_101072], powerset(_101072)))], (511 ^ _85245) ^ [_101123] : [-(empty(507 ^ [_101123]))], (514 ^ _85245) ^ [] : [empty(512 ^ [])], (517 ^ _85245) ^ [] : [-(element(515 ^ [], positive_rationals))], (519 ^ _85245) ^ [] : [-(empty(515 ^ []))], (521 ^ _85245) ^ [] : [-(epsilon_transitive(515 ^ []))], (523 ^ _85245) ^ [] : [-(epsilon_connected(515 ^ []))], (525 ^ _85245) ^ [] : [-(ordinal(515 ^ []))], (527 ^ _85245) ^ [] : [-(natural(515 ^ []))], (529 ^ _85245) ^ [_101702] : [-(empty(_101702)), 533 ^ _85245 : [(534 ^ _85245) ^ [] : [-(element(532 ^ [_101702], powerset(_101702)))], (536 ^ _85245) ^ [] : [empty(532 ^ [_101702])], (538 ^ _85245) ^ [] : [-(finite(532 ^ [_101702]))]]], (541 ^ _85245) ^ [] : [-(relation(539 ^ []))], (543 ^ _85245) ^ [] : [-(function(539 ^ []))], (545 ^ _85245) ^ [] : [-(one_to_one(539 ^ []))], (548 ^ _85245) ^ [] : [empty(546 ^ [])], (550 ^ _85245) ^ [] : [-(epsilon_transitive(546 ^ []))], (552 ^ _85245) ^ [] : [-(epsilon_connected(546 ^ []))], (554 ^ _85245) ^ [] : [-(ordinal(546 ^ []))], (557 ^ _85245) ^ [] : [-(relation(555 ^ []))], (559 ^ _85245) ^ [] : [-(relation_empty_yielding(555 ^ []))], (562 ^ _85245) ^ [] : [-(relation(560 ^ []))], (564 ^ _85245) ^ [] : [-(relation_empty_yielding(560 ^ []))], (566 ^ _85245) ^ [] : [-(function(560 ^ []))], (569 ^ _85245) ^ [] : [-(relation(567 ^ []))], (571 ^ _85245) ^ [] : [-(function(567 ^ []))], (573 ^ _85245) ^ [] : [-(transfinite_sequence(567 ^ []))], (576 ^ _85245) ^ [] : [-(relation(574 ^ []))], (578 ^ _85245) ^ [] : [-(relation_non_empty(574 ^ []))], (580 ^ _85245) ^ [] : [-(function(574 ^ []))], (582 ^ _85245) ^ [_103368, _103370] : [-(subset(_103370, _103370))], (584 ^ _85245) ^ [_103477, _103479] : [in(_103479, _103477), -(element(_103479, _103477))], (590 ^ _85245) ^ [_103687, _103689] : [element(_103689, _103687), -(empty(_103687)), -(in(_103689, _103687))], (600 ^ _85245) ^ [_104014, _104016] : [element(_104016, powerset(_104014)), -(subset(_104016, _104014))], (606 ^ _85245) ^ [_104180, _104182] : [subset(_104182, _104180), -(element(_104182, powerset(_104180)))], (612 ^ _85245) ^ [_104410, _104412, _104414] : [-(element(_104414, _104410)), in(_104414, _104412), element(_104412, powerset(_104410))], (622 ^ _85245) ^ [_104737, _104739, _104741] : [in(_104741, _104739), element(_104739, powerset(_104737)), empty(_104737)], (632 ^ _85245) ^ [_105033] : [empty(_105033), -(_105033 = empty_set)], (638 ^ _85245) ^ [_105235, _105237] : [in(_105237, _105235), empty(_105235)], (644 ^ _85245) ^ [_105422, _105424] : [empty(_105424), -(_105424 = _105422), empty(_105422)], (212 ^ _85245) ^ [_91802, _91804] : [_91804 = _91802, -(powerset(_91804) = powerset(_91802))], (2 ^ _85245) ^ [_85389] : [-(_85389 = _85389)], (4 ^ _85245) ^ [_85496, _85498] : [_85498 = _85496, -(_85496 = _85498)], (10 ^ _85245) ^ [_85700, _85702, _85704] : [-(_85704 = _85700), _85704 = _85702, _85702 = _85700], (20 ^ _85245) ^ [_86013, _86015] : [-(function_yielding(_86013)), _86015 = _86013, function_yielding(_86015)], (30 ^ _85245) ^ [_86308, _86310] : [-(being_limit_ordinal(_86308)), _86310 = _86308, being_limit_ordinal(_86310)], (40 ^ _85245) ^ [_86603, _86605] : [-(ordinal_yielding(_86603)), _86605 = _86603, ordinal_yielding(_86605)], (50 ^ _85245) ^ [_86898, _86900] : [-(natural(_86898)), _86900 = _86898, natural(_86900)], (60 ^ _85245) ^ [_87193, _87195] : [-(one_to_one(_87193)), _87195 = _87193, one_to_one(_87195)], (70 ^ _85245) ^ [_87488, _87490] : [-(epsilon_transitive(_87488)), _87490 = _87488, epsilon_transitive(_87490)], (80 ^ _85245) ^ [_87783, _87785] : [-(epsilon_connected(_87783)), _87785 = _87783, epsilon_connected(_87785)], (90 ^ _85245) ^ [_88078, _88080] : [-(ordinal(_88078)), _88080 = _88078, ordinal(_88080)], (100 ^ _85245) ^ [_88373, _88375] : [-(relation_empty_yielding(_88373)), _88375 = _88373, relation_empty_yielding(_88375)], (110 ^ _85245) ^ [_88668, _88670] : [-(transfinite_sequence(_88668)), _88670 = _88668, transfinite_sequence(_88670)], (120 ^ _85245) ^ [_88963, _88965] : [-(relation(_88963)), _88965 = _88963, relation(_88965)], (130 ^ _85245) ^ [_89258, _89260] : [-(relation_non_empty(_89258)), _89260 = _89258, relation_non_empty(_89260)], (140 ^ _85245) ^ [_89553, _89555] : [-(function(_89553)), _89555 = _89553, function(_89555)], (150 ^ _85245) ^ [_89876, _89878, _89880, _89882] : [-(element(_89880, _89876)), element(_89882, _89878), _89882 = _89880, _89878 = _89876], (164 ^ _85245) ^ [_90320, _90322, _90324, _90326] : [-(in(_90324, _90320)), in(_90326, _90322), _90326 = _90324, _90322 = _90320], (178 ^ _85245) ^ [_90736, _90738] : [-(empty(_90736)), _90738 = _90736, empty(_90738)], (202 ^ _85245) ^ [_91455, _91457] : [-(finite(_91455)), _91457 = _91455, finite(_91457)], (188 ^ _85245) ^ [_91059, _91061, _91063, _91065] : [-(subset(_91063, _91059)), subset(_91065, _91061), _91065 = _91063, _91061 = _91059]], input).
% 0.32/1.38  ncf('1',plain,[finite(653 ^ [])],start(660 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(finite(653 ^ [])), 284 : element(653 ^ [], powerset(654 ^ [])), 284 : finite(654 ^ [])],extension(280 ^ 1,bind([[_94004, _94136], [654 ^ [], 653 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(element(653 ^ [], powerset(654 ^ []))), subset(653 ^ [], 654 ^ [])],extension(606 ^ 4,bind([[_104180, _104182], [654 ^ [], 653 ^ []]]))).
% 0.32/1.38  ncf('1.1.1.1',plain,[-(subset(653 ^ [], 654 ^ []))],extension(656 ^ 5)).
% 0.32/1.38  ncf('1.1.2',plain,[-(finite(654 ^ []))],extension(658 ^ 2)).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------