%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU234+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:02:48 EDT 2023

% Result   : Theorem 0.61s 1.37s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU234+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 13:16:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.61/1.37  
% 0.61/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.61/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/1.37  %-----------------------------------------------------
% 0.61/1.37  ncf(matrix, plain, [(512 ^ _66434) ^ [] : [ordinal(502 ^ [])], (504 ^ _66434) ^ [_82435] : [in(_82435, 502 ^ []), 507 ^ _66434 : [(508 ^ _66434) ^ [] : [-(ordinal(_82435))], (510 ^ _66434) ^ [] : [-(subset(_82435, 502 ^ []))]]], (152 ^ _66434) ^ [_71177, _71179] : [_71179 = _71177, -(powerset(_71179) = powerset(_71177))], (2 ^ _66434) ^ [_66578] : [-(_66578 = _66578)], (4 ^ _66434) ^ [_66685, _66687] : [_66687 = _66685, -(_66685 = _66687)], (10 ^ _66434) ^ [_66889, _66891, _66893] : [-(_66893 = _66889), _66893 = _66891, _66891 = _66889], (20 ^ _66434) ^ [_67202, _67204] : [-(one_to_one(_67202)), _67204 = _67202, one_to_one(_67204)], (30 ^ _66434) ^ [_67497, _67499] : [-(epsilon_transitive(_67497)), _67499 = _67497, epsilon_transitive(_67499)], (40 ^ _66434) ^ [_67792, _67794] : [-(epsilon_connected(_67792)), _67794 = _67792, epsilon_connected(_67794)], (50 ^ _66434) ^ [_68087, _68089] : [-(relation_empty_yielding(_68087)), _68089 = _68087, relation_empty_yielding(_68089)], (60 ^ _66434) ^ [_68382, _68384] : [-(relation(_68382)), _68384 = _68382, relation(_68384)], (70 ^ _66434) ^ [_68677, _68679] : [-(relation_non_empty(_68677)), _68679 = _68677, relation_non_empty(_68679)], (80 ^ _66434) ^ [_68972, _68974] : [-(function(_68972)), _68974 = _68972, function(_68974)], (90 ^ _66434) ^ [_69295, _69297, _69299, _69301] : [-(element(_69299, _69295)), element(_69301, _69297), _69301 = _69299, _69297 = _69295], (104 ^ _66434) ^ [_69711, _69713] : [-(empty(_69711)), _69713 = _69711, empty(_69713)], (114 ^ _66434) ^ [_70034, _70036, _70038, _70040] : [-(in(_70038, _70034)), in(_70040, _70036), _70040 = _70038, _70036 = _70034], (142 ^ _66434) ^ [_70874, _70876] : [-(ordinal(_70874)), _70876 = _70874, ordinal(_70876)], (128 ^ _66434) ^ [_70478, _70480, _70482, _70484] : [-(subset(_70482, _70478)), subset(_70484, _70480), _70484 = _70482, _70480 = _70478], (158 ^ _66434) ^ [_71397, _71399] : [in(_71399, _71397), in(_71397, _71399)], (164 ^ _66434) ^ [_71594] : [empty(_71594), -(function(_71594))], (170 ^ _66434) ^ [_71780] : [ordinal(_71780), 173 ^ _66434 : [(174 ^ _66434) ^ [] : [-(epsilon_transitive(_71780))], (176 ^ _66434) ^ [] : [-(epsilon_connected(_71780))]]], (178 ^ _66434) ^ [_72037] : [empty(_72037), -(relation(_72037))], (184 ^ _66434) ^ [_72223] : [195 ^ _66434 : [(196 ^ _66434) ^ [] : [-(relation(_72223))], (198 ^ _66434) ^ [] : [-(function(_72223))], (200 ^ _66434) ^ [] : [-(one_to_one(_72223))]], relation(_72223), empty(_72223), function(_72223)], (202 ^ _66434) ^ [_72716] : [-(ordinal(_72716)), epsilon_transitive(_72716), epsilon_connected(_72716)], (212 ^ _66434) ^ [_72985] : [empty(_72985), 215 ^ _66434 : [(216 ^ _66434) ^ [] : [-(epsilon_transitive(_72985))], (218 ^ _66434) ^ [] : [-(epsilon_connected(_72985))], (220 ^ _66434) ^ [] : [-(ordinal(_72985))]]], (232 ^ _66434) ^ [_73641] : [234 ^ _66434 : [(235 ^ _66434) ^ [] : [-(in(233 ^ [_73641], _73641))], (237 ^ _66434) ^ [] : [subset(233 ^ [_73641], _73641)]], -(epsilon_transitive(_73641))], (222 ^ _66434) ^ [_73341] : [epsilon_transitive(_73341), 225 ^ _66434 : [(226 ^ _66434) ^ [_73472] : [in(_73472, _73341), -(subset(_73472, _73341))]]], (263 ^ _66434) ^ [_74633] : [266 ^ _66434 : [(267 ^ _66434) ^ [] : [-(in(264 ^ [_74633], _74633))], (269 ^ _66434) ^ [] : [-(in(265 ^ [_74633], _74633))], (271 ^ _66434) ^ [] : [in(264 ^ [_74633], 265 ^ [_74633])], (273 ^ _66434) ^ [] : [264 ^ [_74633] = 265 ^ [_74633]], (275 ^ _66434) ^ [] : [in(265 ^ [_74633], 264 ^ [_74633])]], -(epsilon_connected(_74633))], (241 ^ _66434) ^ [_73995] : [epsilon_connected(_73995), 244 ^ _66434 : [(245 ^ _66434) ^ [_74171, _74173] : [in(_74173, _73995), in(_74171, _73995), -(in(_74173, _74171)), -(_74173 = _74171), -(in(_74171, _74173))]]], (279 ^ _66434) ^ [_75368] : [ordinal(_75368), 282 ^ _66434 : [(283 ^ _66434) ^ [] : [-(epsilon_transitive(_75368))], (285 ^ _66434) ^ [] : [-(epsilon_connected(_75368))]]], (287 ^ _66434) ^ [_75591] : [-(ordinal(_75591)), epsilon_transitive(_75591), epsilon_connected(_75591)], (298 ^ _66434) ^ [_75886] : [-(element(296 ^ [_75886], _75886))], (300 ^ _66434) ^ [] : [-(empty(empty_set))], (302 ^ _66434) ^ [] : [-(relation(empty_set))], (304 ^ _66434) ^ [] : [-(relation_empty_yielding(empty_set))], (306 ^ _66434) ^ [] : [-(empty(empty_set))], (308 ^ _66434) ^ [] : [-(relation(empty_set))], (310 ^ _66434) ^ [] : [-(relation_empty_yielding(empty_set))], (312 ^ _66434) ^ [] : [-(function(empty_set))], (314 ^ _66434) ^ [] : [-(one_to_one(empty_set))], (316 ^ _66434) ^ [] : [-(empty(empty_set))], (318 ^ _66434) ^ [] : [-(epsilon_transitive(empty_set))], (320 ^ _66434) ^ [] : [-(epsilon_connected(empty_set))], (322 ^ _66434) ^ [] : [-(ordinal(empty_set))], (324 ^ _66434) ^ [] : [-(empty(empty_set))], (326 ^ _66434) ^ [] : [-(relation(empty_set))], (329 ^ _66434) ^ [] : [-(relation(327 ^ []))], (331 ^ _66434) ^ [] : [-(function(327 ^ []))], (334 ^ _66434) ^ [] : [-(epsilon_transitive(332 ^ []))], (336 ^ _66434) ^ [] : [-(epsilon_connected(332 ^ []))], (338 ^ _66434) ^ [] : [-(ordinal(332 ^ []))], (341 ^ _66434) ^ [] : [-(empty(339 ^ []))], (343 ^ _66434) ^ [] : [-(relation(339 ^ []))], (346 ^ _66434) ^ [] : [-(empty(344 ^ []))], (349 ^ _66434) ^ [] : [-(relation(347 ^ []))], (351 ^ _66434) ^ [] : [-(empty(347 ^ []))], (353 ^ _66434) ^ [] : [-(function(347 ^ []))], (356 ^ _66434) ^ [] : [-(relation(354 ^ []))], (358 ^ _66434) ^ [] : [-(function(354 ^ []))], (360 ^ _66434) ^ [] : [-(one_to_one(354 ^ []))], (362 ^ _66434) ^ [] : [-(empty(354 ^ []))], (364 ^ _66434) ^ [] : [-(epsilon_transitive(354 ^ []))], (366 ^ _66434) ^ [] : [-(epsilon_connected(354 ^ []))], (368 ^ _66434) ^ [] : [-(ordinal(354 ^ []))], (371 ^ _66434) ^ [] : [empty(369 ^ [])], (373 ^ _66434) ^ [] : [-(relation(369 ^ []))], (376 ^ _66434) ^ [] : [empty(374 ^ [])], (379 ^ _66434) ^ [] : [-(relation(377 ^ []))], (381 ^ _66434) ^ [] : [-(function(377 ^ []))], (383 ^ _66434) ^ [] : [-(one_to_one(377 ^ []))], (386 ^ _66434) ^ [] : [empty(384 ^ [])], (388 ^ _66434) ^ [] : [-(epsilon_transitive(384 ^ []))], (390 ^ _66434) ^ [] : [-(epsilon_connected(384 ^ []))], (392 ^ _66434) ^ [] : [-(ordinal(384 ^ []))], (395 ^ _66434) ^ [] : [-(relation(393 ^ []))], (397 ^ _66434) ^ [] : [-(relation_empty_yielding(393 ^ []))], (400 ^ _66434) ^ [] : [-(relation(398 ^ []))], (402 ^ _66434) ^ [] : [-(relation_empty_yielding(398 ^ []))], (404 ^ _66434) ^ [] : [-(function(398 ^ []))], (407 ^ _66434) ^ [] : [-(relation(405 ^ []))], (409 ^ _66434) ^ [] : [-(relation_non_empty(405 ^ []))], (411 ^ _66434) ^ [] : [-(function(405 ^ []))], (413 ^ _66434) ^ [_79285, _79287] : [-(subset(_79287, _79287))], (415 ^ _66434) ^ [_79394, _79396] : [in(_79396, _79394), -(element(_79396, _79394))], (421 ^ _66434) ^ [_79590] : [ordinal(_79590), 424 ^ _66434 : [(425 ^ _66434) ^ [_79740] : [ordinal(_79740), -(in(_79590, _79740)), -(_79590 = _79740), -(in(_79740, _79590))]]], (439 ^ _66434) ^ [_80143, _80145] : [element(_80145, _80143), -(empty(_80143)), -(in(_80145, _80143))], (449 ^ _66434) ^ [_80470, _80472] : [element(_80472, powerset(_80470)), -(subset(_80472, _80470))], (455 ^ _66434) ^ [_80636, _80638] : [subset(_80638, _80636), -(element(_80638, powerset(_80636)))], (461 ^ _66434) ^ [_80866, _80868, _80870] : [-(element(_80870, _80866)), in(_80870, _80868), element(_80868, powerset(_80866))], (471 ^ _66434) ^ [_81193, _81195, _81197] : [in(_81197, _81195), element(_81195, powerset(_81193)), empty(_81193)], (481 ^ _66434) ^ [_81489] : [empty(_81489), -(_81489 = empty_set)], (487 ^ _66434) ^ [_81691, _81693] : [in(_81693, _81691), empty(_81691)], (493 ^ _66434) ^ [_81878, _81880] : [empty(_81880), -(_81880 = _81878), empty(_81878)]], input).
% 0.61/1.37  ncf('1',plain,[ordinal(502 ^ [])],start(512 ^ 0)).
% 0.61/1.37  ncf('1.1',plain,[-(ordinal(502 ^ [])), epsilon_transitive(502 ^ []), epsilon_connected(502 ^ [])],extension(202 ^ 1,bind([[_72716], [502 ^ []]]))).
% 0.61/1.37  ncf('1.1.1',plain,[-(epsilon_transitive(502 ^ [])), 235 : -(in(233 ^ [502 ^ []], 502 ^ []))],extension(232 ^ 2,bind([[_73641], [502 ^ []]]))).
% 0.61/1.37  ncf('1.1.1.1',plain,[in(233 ^ [502 ^ []], 502 ^ []), 510 : -(subset(233 ^ [502 ^ []], 502 ^ []))],extension(504 ^ 5,bind([[_82435], [233 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.1.1.1',plain,[subset(233 ^ [502 ^ []], 502 ^ []), -(subset(233 ^ [502 ^ []], 502 ^ [])), 233 ^ [502 ^ []] = 233 ^ [502 ^ []], 502 ^ [] = 502 ^ []],extension(128 ^ 8,bind([[_70478, _70480, _70482, _70484], [502 ^ [], 502 ^ [], 233 ^ [502 ^ []], 233 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.1.1.1.1',plain,[subset(233 ^ [502 ^ []], 502 ^ [])],extension(237 ^ 9)).
% 0.61/1.37  ncf('1.1.1.1.1.2',plain,[-(233 ^ [502 ^ []] = 233 ^ [502 ^ []])],extension(2 ^ 9,bind([[_66578], [233 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.1.1.1.3',plain,[-(502 ^ [] = 502 ^ [])],extension(2 ^ 9,bind([[_66578], [502 ^ []]]))).
% 0.61/1.37  ncf('1.1.2',plain,[-(epsilon_connected(502 ^ [])), 271 : in(264 ^ [502 ^ []], 265 ^ [502 ^ []])],extension(263 ^ 2,bind([[_74633], [502 ^ []]]))).
% 0.61/1.37  ncf('1.1.2.1',plain,[-(in(264 ^ [502 ^ []], 265 ^ [502 ^ []])), 425 : ordinal(265 ^ [502 ^ []]), 425 : -(264 ^ [502 ^ []] = 265 ^ [502 ^ []]), 425 : -(in(265 ^ [502 ^ []], 264 ^ [502 ^ []])), 425 : ordinal(264 ^ [502 ^ []])],extension(421 ^ 5,bind([[_79590, _79740], [264 ^ [502 ^ []], 265 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.2.1.1',plain,[-(ordinal(265 ^ [502 ^ []])), in(265 ^ [502 ^ []], 502 ^ [])],extension(504 ^ 8,bind([[_82435], [265 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.2.1.1.1',plain,[-(in(265 ^ [502 ^ []], 502 ^ []))],extension(269 ^ 9)).
% 0.61/1.37  ncf('1.1.2.1.2',plain,[264 ^ [502 ^ []] = 265 ^ [502 ^ []], -(264 ^ [502 ^ []] = 265 ^ [502 ^ []]), 265 ^ [502 ^ []] = 265 ^ [502 ^ []]],extension(10 ^ 8,bind([[_66889, _66891, _66893], [265 ^ [502 ^ []], 265 ^ [502 ^ []], 264 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.2.1.2.1',plain,[264 ^ [502 ^ []] = 265 ^ [502 ^ []]],extension(273 ^ 9)).
% 0.61/1.37  ncf('1.1.2.1.2.2',plain,[-(265 ^ [502 ^ []] = 265 ^ [502 ^ []])],extension(2 ^ 9,bind([[_66578], [265 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.2.1.3',plain,[in(265 ^ [502 ^ []], 264 ^ [502 ^ []])],extension(275 ^ 8)).
% 0.61/1.37  ncf('1.1.2.1.4',plain,[-(ordinal(264 ^ [502 ^ []])), in(264 ^ [502 ^ []], 502 ^ [])],extension(504 ^ 6,bind([[_82435], [264 ^ [502 ^ []]]]))).
% 0.61/1.37  ncf('1.1.2.1.4.1',plain,[-(in(264 ^ [502 ^ []], 502 ^ []))],extension(267 ^ 7)).
% 0.61/1.37  %-----------------------------------------------------
% 0.61/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------