TSTP Solution File: NUM414+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:44:33 EDT 2023
% Result : Theorem 0.56s 1.37s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 16:40:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.56/1.37
% 0.56/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.56/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 ncf(matrix, plain, [(526 ^ _69578) ^ [] : [-(ordinal(524 ^ []))], (529 ^ _69578) ^ [] : [-(ordinal(527 ^ []))], (531 ^ _69578) ^ [] : [proper_subset(524 ^ [], 527 ^ [])], (533 ^ _69578) ^ [] : [524 ^ [] = 527 ^ []], (535 ^ _69578) ^ [] : [proper_subset(527 ^ [], 524 ^ [])], (190 ^ _69578) ^ [_75510, _75512] : [_75512 = _75510, -(powerset(_75512) = powerset(_75510))], (2 ^ _69578) ^ [_69722] : [-(_69722 = _69722)], (4 ^ _69578) ^ [_69829, _69831] : [_69831 = _69829, -(_69829 = _69831)], (10 ^ _69578) ^ [_70033, _70035, _70037] : [-(_70037 = _70033), _70037 = _70035, _70035 = _70033], (20 ^ _69578) ^ [_70346, _70348] : [-(one_to_one(_70346)), _70348 = _70346, one_to_one(_70348)], (30 ^ _69578) ^ [_70641, _70643] : [-(epsilon_transitive(_70641)), _70643 = _70641, epsilon_transitive(_70643)], (40 ^ _69578) ^ [_70936, _70938] : [-(epsilon_connected(_70936)), _70938 = _70936, epsilon_connected(_70938)], (50 ^ _69578) ^ [_71231, _71233] : [-(relation_empty_yielding(_71231)), _71233 = _71231, relation_empty_yielding(_71233)], (60 ^ _69578) ^ [_71526, _71528] : [-(transfinite_sequence(_71526)), _71528 = _71526, transfinite_sequence(_71528)], (70 ^ _69578) ^ [_71821, _71823] : [-(relation(_71821)), _71823 = _71821, relation(_71823)], (80 ^ _69578) ^ [_72116, _72118] : [-(relation_non_empty(_72116)), _72118 = _72116, relation_non_empty(_72118)], (90 ^ _69578) ^ [_72411, _72413] : [-(function(_72411)), _72413 = _72411, function(_72413)], (100 ^ _69578) ^ [_72734, _72736, _72738, _72740] : [-(ordinal_subset(_72738, _72734)), ordinal_subset(_72740, _72736), _72740 = _72738, _72736 = _72734], (114 ^ _69578) ^ [_73178, _73180, _73182, _73184] : [-(subset(_73182, _73178)), subset(_73184, _73180), _73184 = _73182, _73180 = _73178], (128 ^ _69578) ^ [_73622, _73624, _73626, _73628] : [-(element(_73626, _73622)), element(_73628, _73624), _73628 = _73626, _73624 = _73622], (142 ^ _69578) ^ [_74066, _74068, _74070, _74072] : [-(in(_74070, _74066)), in(_74072, _74068), _74072 = _74070, _74068 = _74066], (156 ^ _69578) ^ [_74482, _74484] : [-(empty(_74482)), _74484 = _74482, empty(_74484)], (166 ^ _69578) ^ [_74777, _74779] : [-(ordinal(_74777)), _74779 = _74777, ordinal(_74779)], (176 ^ _69578) ^ [_75080, _75082, _75084, _75086] : [-(proper_subset(_75084, _75080)), proper_subset(_75086, _75082), _75086 = _75084, _75082 = _75080], (196 ^ _69578) ^ [_75730, _75732] : [in(_75732, _75730), in(_75730, _75732)], (202 ^ _69578) ^ [_75941, _75943] : [proper_subset(_75943, _75941), proper_subset(_75941, _75943)], (208 ^ _69578) ^ [_76138] : [empty(_76138), -(function(_76138))], (214 ^ _69578) ^ [_76324] : [ordinal(_76324), 217 ^ _69578 : [(218 ^ _69578) ^ [] : [-(epsilon_transitive(_76324))], (220 ^ _69578) ^ [] : [-(epsilon_connected(_76324))]]], (222 ^ _69578) ^ [_76581] : [empty(_76581), -(relation(_76581))], (228 ^ _69578) ^ [_76767] : [239 ^ _69578 : [(240 ^ _69578) ^ [] : [-(relation(_76767))], (242 ^ _69578) ^ [] : [-(function(_76767))], (244 ^ _69578) ^ [] : [-(one_to_one(_76767))]], relation(_76767), empty(_76767), function(_76767)], (246 ^ _69578) ^ [_77260] : [-(ordinal(_77260)), epsilon_transitive(_77260), epsilon_connected(_77260)], (256 ^ _69578) ^ [_77529] : [empty(_77529), 259 ^ _69578 : [(260 ^ _69578) ^ [] : [-(epsilon_transitive(_77529))], (262 ^ _69578) ^ [] : [-(epsilon_connected(_77529))], (264 ^ _69578) ^ [] : [-(ordinal(_77529))]]], (266 ^ _69578) ^ [_77870, _77872] : [ordinal(_77872), ordinal(_77870), -(ordinal_subset(_77872, _77870)), -(ordinal_subset(_77870, _77872))], (280 ^ _69578) ^ [_78286, _78288] : [proper_subset(_78288, _78286), 283 ^ _69578 : [(284 ^ _69578) ^ [] : [-(subset(_78288, _78286))], (286 ^ _69578) ^ [] : [_78288 = _78286]]], (288 ^ _69578) ^ [_78524, _78526] : [-(proper_subset(_78526, _78524)), subset(_78526, _78524), -(_78526 = _78524)], (299 ^ _69578) ^ [_78838] : [-(element(297 ^ [_78838], _78838))], (301 ^ _69578) ^ [] : [-(empty(empty_set))], (303 ^ _69578) ^ [] : [-(relation(empty_set))], (305 ^ _69578) ^ [] : [-(relation_empty_yielding(empty_set))], (307 ^ _69578) ^ [] : [-(empty(empty_set))], (309 ^ _69578) ^ [] : [-(relation(empty_set))], (311 ^ _69578) ^ [] : [-(relation_empty_yielding(empty_set))], (313 ^ _69578) ^ [] : [-(function(empty_set))], (315 ^ _69578) ^ [] : [-(one_to_one(empty_set))], (317 ^ _69578) ^ [] : [-(empty(empty_set))], (319 ^ _69578) ^ [] : [-(epsilon_transitive(empty_set))], (321 ^ _69578) ^ [] : [-(epsilon_connected(empty_set))], (323 ^ _69578) ^ [] : [-(ordinal(empty_set))], (325 ^ _69578) ^ [] : [-(empty(empty_set))], (327 ^ _69578) ^ [] : [-(relation(empty_set))], (329 ^ _69578) ^ [_79696, _79698] : [proper_subset(_79698, _79698)], (332 ^ _69578) ^ [] : [-(relation(330 ^ []))], (334 ^ _69578) ^ [] : [-(function(330 ^ []))], (337 ^ _69578) ^ [] : [-(epsilon_transitive(335 ^ []))], (339 ^ _69578) ^ [] : [-(epsilon_connected(335 ^ []))], (341 ^ _69578) ^ [] : [-(ordinal(335 ^ []))], (344 ^ _69578) ^ [] : [-(empty(342 ^ []))], (346 ^ _69578) ^ [] : [-(relation(342 ^ []))], (349 ^ _69578) ^ [] : [-(empty(347 ^ []))], (352 ^ _69578) ^ [] : [-(relation(350 ^ []))], (354 ^ _69578) ^ [] : [-(empty(350 ^ []))], (356 ^ _69578) ^ [] : [-(function(350 ^ []))], (359 ^ _69578) ^ [] : [-(relation(357 ^ []))], (361 ^ _69578) ^ [] : [-(function(357 ^ []))], (363 ^ _69578) ^ [] : [-(one_to_one(357 ^ []))], (365 ^ _69578) ^ [] : [-(empty(357 ^ []))], (367 ^ _69578) ^ [] : [-(epsilon_transitive(357 ^ []))], (369 ^ _69578) ^ [] : [-(epsilon_connected(357 ^ []))], (371 ^ _69578) ^ [] : [-(ordinal(357 ^ []))], (374 ^ _69578) ^ [] : [empty(372 ^ [])], (376 ^ _69578) ^ [] : [-(relation(372 ^ []))], (379 ^ _69578) ^ [] : [empty(377 ^ [])], (382 ^ _69578) ^ [] : [-(relation(380 ^ []))], (384 ^ _69578) ^ [] : [-(function(380 ^ []))], (386 ^ _69578) ^ [] : [-(one_to_one(380 ^ []))], (389 ^ _69578) ^ [] : [empty(387 ^ [])], (391 ^ _69578) ^ [] : [-(epsilon_transitive(387 ^ []))], (393 ^ _69578) ^ [] : [-(epsilon_connected(387 ^ []))], (395 ^ _69578) ^ [] : [-(ordinal(387 ^ []))], (398 ^ _69578) ^ [] : [-(relation(396 ^ []))], (400 ^ _69578) ^ [] : [-(relation_empty_yielding(396 ^ []))], (403 ^ _69578) ^ [] : [-(relation(401 ^ []))], (405 ^ _69578) ^ [] : [-(relation_empty_yielding(401 ^ []))], (407 ^ _69578) ^ [] : [-(function(401 ^ []))], (410 ^ _69578) ^ [] : [-(relation(408 ^ []))], (412 ^ _69578) ^ [] : [-(function(408 ^ []))], (414 ^ _69578) ^ [] : [-(transfinite_sequence(408 ^ []))], (417 ^ _69578) ^ [] : [-(relation(415 ^ []))], (419 ^ _69578) ^ [] : [-(relation_non_empty(415 ^ []))], (421 ^ _69578) ^ [] : [-(function(415 ^ []))], (423 ^ _69578) ^ [_82554, _82556] : [ordinal(_82556), ordinal(_82554), 430 ^ _69578 : [(431 ^ _69578) ^ [] : [ordinal_subset(_82556, _82554), -(subset(_82556, _82554))], (437 ^ _69578) ^ [] : [subset(_82556, _82554), -(ordinal_subset(_82556, _82554))]]], (443 ^ _69578) ^ [_83101, _83103] : [-(ordinal_subset(_83103, _83103)), ordinal(_83103), ordinal(_83101)], (453 ^ _69578) ^ [_83381, _83383] : [-(subset(_83383, _83383))], (455 ^ _69578) ^ [_83490, _83492] : [in(_83492, _83490), -(element(_83492, _83490))], (461 ^ _69578) ^ [_83700, _83702] : [element(_83702, _83700), -(empty(_83700)), -(in(_83702, _83700))], (471 ^ _69578) ^ [_84027, _84029] : [element(_84029, powerset(_84027)), -(subset(_84029, _84027))], (477 ^ _69578) ^ [_84193, _84195] : [subset(_84195, _84193), -(element(_84195, powerset(_84193)))], (483 ^ _69578) ^ [_84423, _84425, _84427] : [-(element(_84427, _84423)), in(_84427, _84425), element(_84425, powerset(_84423))], (493 ^ _69578) ^ [_84750, _84752, _84754] : [in(_84754, _84752), element(_84752, powerset(_84750)), empty(_84750)], (503 ^ _69578) ^ [_85046] : [empty(_85046), -(_85046 = empty_set)], (509 ^ _69578) ^ [_85248, _85250] : [in(_85250, _85248), empty(_85248)], (515 ^ _69578) ^ [_85435, _85437] : [empty(_85437), -(_85437 = _85435), empty(_85435)]], input).
% 0.56/1.37 ncf('1',plain,[proper_subset(527 ^ [], 524 ^ [])],start(535 ^ 0)).
% 0.56/1.37 ncf('1.1',plain,[-(proper_subset(527 ^ [], 524 ^ [])), subset(527 ^ [], 524 ^ []), -(527 ^ [] = 524 ^ [])],extension(288 ^ 1,bind([[_78524, _78526], [524 ^ [], 527 ^ []]]))).
% 0.56/1.37 ncf('1.1.1',plain,[-(subset(527 ^ [], 524 ^ [])), 431 : ordinal_subset(527 ^ [], 524 ^ []), 431 : ordinal(527 ^ []), 431 : ordinal(524 ^ [])],extension(423 ^ 2,bind([[_82554, _82556], [524 ^ [], 527 ^ []]]))).
% 0.56/1.37 ncf('1.1.1.1',plain,[-(ordinal_subset(527 ^ [], 524 ^ [])), ordinal(527 ^ []), ordinal(524 ^ []), -(ordinal_subset(524 ^ [], 527 ^ []))],extension(266 ^ 5,bind([[_77870, _77872], [524 ^ [], 527 ^ []]]))).
% 0.56/1.37 ncf('1.1.1.1.1',plain,[-(ordinal(527 ^ []))],extension(529 ^ 6)).
% 0.56/1.37 ncf('1.1.1.1.2',plain,[-(ordinal(524 ^ []))],extension(526 ^ 6)).
% 0.56/1.37 ncf('1.1.1.1.3',plain,[ordinal_subset(524 ^ [], 527 ^ []), 431 : -(subset(524 ^ [], 527 ^ [])), 431 : ordinal(524 ^ []), 431 : ordinal(527 ^ [])],extension(423 ^ 6,bind([[_82554, _82556], [527 ^ [], 524 ^ []]]))).
% 0.56/1.37 ncf('1.1.1.1.3.1',plain,[subset(524 ^ [], 527 ^ []), -(proper_subset(524 ^ [], 527 ^ [])), -(524 ^ [] = 527 ^ [])],extension(288 ^ 9,bind([[_78524, _78526], [527 ^ [], 524 ^ []]]))).
% 0.56/1.37 ncf('1.1.1.1.3.1.1',plain,[proper_subset(524 ^ [], 527 ^ [])],extension(531 ^ 10)).
% 0.56/1.37 ncf('1.1.1.1.3.1.2',plain,[524 ^ [] = 527 ^ []],extension(533 ^ 10)).
% 0.56/1.37 ncf('1.1.1.1.3.2',plain,[-(ordinal(524 ^ []))],lemmata('[1, 1, 1].x')).
% 0.56/1.37 ncf('1.1.1.1.3.3',plain,[-(ordinal(527 ^ []))],lemmata('[1, 1, 1].x')).
% 0.56/1.37 ncf('1.1.1.2',plain,[-(ordinal(527 ^ []))],extension(529 ^ 3)).
% 0.56/1.37 ncf('1.1.1.3',plain,[-(ordinal(524 ^ []))],extension(526 ^ 3)).
% 0.56/1.37 ncf('1.1.2',plain,[527 ^ [] = 524 ^ [], -(524 ^ [] = 527 ^ [])],extension(4 ^ 2,bind([[_69829, _69831], [524 ^ [], 527 ^ []]]))).
% 0.56/1.37 ncf('1.1.2.1',plain,[524 ^ [] = 527 ^ []],extension(533 ^ 3)).
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------