%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:56:14 EDT 2023

% Result   : Theorem 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 19:05:52 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(617 ^ _83258) ^ [] : [-(ilf_type(615 ^ [], binary_relation_type))], (619 ^ _83258) ^ [] : [ilf_type(615 ^ [], relation_type(domain_of(615 ^ []), range_of(615 ^ [])))], (2 ^ _83258) ^ [_83402] : [-(_83402 = _83402)], (4 ^ _83258) ^ [_83509, _83511] : [_83511 = _83509, -(_83509 = _83511)], (10 ^ _83258) ^ [_83713, _83715, _83717] : [-(_83717 = _83713), _83717 = _83715, _83715 = _83713], (20 ^ _83258) ^ [_84054, _84056, _84058, _84060] : [-(subset(_84058, _84054)), subset(_84060, _84056), _84060 = _84058, _84056 = _84054], (34 ^ _83258) ^ [_84498, _84500, _84502, _84504] : [-(member(_84502, _84498)), member(_84504, _84500), _84504 = _84502, _84500 = _84498], (48 ^ _83258) ^ [_84914, _84916] : [-(empty(_84914)), _84916 = _84914, empty(_84916)], (58 ^ _83258) ^ [_85209, _85211] : [-(relation_like(_85209)), _85211 = _85209, relation_like(_85211)], (68 ^ _83258) ^ [_85512, _85514, _85516, _85518] : [-(ilf_type(_85516, _85512)), ilf_type(_85518, _85514), _85518 = _85516, _85514 = _85512], (82 ^ _83258) ^ [_85970, _85972, _85974, _85976] : [-(ordered_pair(_85976, _85972) = ordered_pair(_85974, _85970)), _85976 = _85974, _85972 = _85970], (92 ^ _83258) ^ [_86329, _86331, _86333, _86335] : [-(cross_product(_86335, _86331) = cross_product(_86333, _86329)), _86335 = _86333, _86331 = _86329], (102 ^ _83258) ^ [_86660, _86662] : [_86662 = _86660, -(power_set(_86662) = power_set(_86660))], (108 ^ _83258) ^ [_86878, _86880] : [_86880 = _86878, -(member_type(_86880) = member_type(_86878))], (114 ^ _83258) ^ [_87152, _87154, _87156, _87158, _87160, _87162] : [-(domain(_87162, _87158, _87154) = domain(_87160, _87156, _87152)), _87162 = _87160, _87158 = _87156, _87154 = _87152], (128 ^ _83258) ^ [_87668, _87670, _87672, _87674, _87676, _87678] : [-(range(_87678, _87674, _87670) = range(_87676, _87672, _87668)), _87678 = _87676, _87674 = _87672, _87670 = _87668], (142 ^ _83258) ^ [_88128, _88130] : [_88130 = _88128, -(subset_type(_88130) = subset_type(_88128))], (148 ^ _83258) ^ [_88374, _88376, _88378, _88380] : [-(relation_type(_88380, _88376) = relation_type(_88378, _88374)), _88380 = _88378, _88376 = _88374], (158 ^ _83258) ^ [_88705, _88707] : [_88707 = _88705, -(domain_of(_88707) = domain_of(_88705))], (164 ^ _83258) ^ [_88903, _88905] : [_88905 = _88903, -(range_of(_88905) = range_of(_88903))], (170 ^ _83258) ^ [_89141] : [ilf_type(_89141, set_type), 173 ^ _83258 : [(174 ^ _83258) ^ [_89287] : [ilf_type(_89287, binary_relation_type), subset(domain_of(_89287), _89141), -(ilf_type(_89287, relation_type(_89141, range_of(_89287))))]]], (184 ^ _83258) ^ [_89593] : [ilf_type(_89593, binary_relation_type), 187 ^ _83258 : [(188 ^ _83258) ^ [_89748] : [ilf_type(_89748, set_type), 191 ^ _83258 : [(192 ^ _83258) ^ [] : [member(_89748, domain_of(_89593)), 196 ^ _83258 : [(197 ^ _83258) ^ [] : [-(ilf_type(195 ^ [_89593, _89748], set_type))], (199 ^ _83258) ^ [] : [-(member(ordered_pair(_89748, 195 ^ [_89593, _89748]), _89593))]]], (201 ^ _83258) ^ [] : [-(member(_89748, domain_of(_89593))), 202 ^ _83258 : [(203 ^ _83258) ^ [_90232] : [ilf_type(_90232, set_type), member(ordered_pair(_89748, _90232), _89593)]]]]]]], (211 ^ _83258) ^ [_90508] : [ilf_type(_90508, binary_relation_type), -(ilf_type(domain_of(_90508), set_type))], (217 ^ _83258) ^ [_90702] : [ilf_type(_90702, binary_relation_type), 220 ^ _83258 : [(221 ^ _83258) ^ [_90857] : [ilf_type(_90857, set_type), 224 ^ _83258 : [(225 ^ _83258) ^ [] : [member(_90857, range_of(_90702)), 229 ^ _83258 : [(230 ^ _83258) ^ [] : [-(ilf_type(228 ^ [_90702, _90857], set_type))], (232 ^ _83258) ^ [] : [-(member(ordered_pair(228 ^ [_90702, _90857], _90857), _90702))]]], (234 ^ _83258) ^ [] : [-(member(_90857, range_of(_90702))), 235 ^ _83258 : [(236 ^ _83258) ^ [_91341] : [ilf_type(_91341, set_type), member(ordered_pair(_91341, _90857), _90702)]]]]]]], (244 ^ _83258) ^ [_91617] : [ilf_type(_91617, binary_relation_type), -(ilf_type(range_of(_91617), set_type))], (250 ^ _83258) ^ [_91811] : [ilf_type(_91811, set_type), 253 ^ _83258 : [(254 ^ _83258) ^ [] : [ilf_type(_91811, binary_relation_type), 257 ^ _83258 : [(258 ^ _83258) ^ [] : [-(relation_like(_91811))], (260 ^ _83258) ^ [] : [-(ilf_type(_91811, set_type))]]], (262 ^ _83258) ^ [] : [-(ilf_type(_91811, binary_relation_type)), relation_like(_91811), ilf_type(_91811, set_type)]]], (273 ^ _83258) ^ [] : [-(ilf_type(271 ^ [], binary_relation_type))], (275 ^ _83258) ^ [_92480] : [ilf_type(_92480, set_type), 278 ^ _83258 : [(279 ^ _83258) ^ [_92657] : [ilf_type(_92657, set_type), 282 ^ _83258 : [(283 ^ _83258) ^ [_92849] : [ilf_type(_92849, subset_type(cross_product(_92480, _92657))), -(ilf_type(_92849, relation_type(_92480, _92657)))], (289 ^ _83258) ^ [_93051] : [ilf_type(_93051, relation_type(_92480, _92657)), -(ilf_type(_93051, subset_type(cross_product(_92480, _92657))))]]]]], (295 ^ _83258) ^ [_93285] : [ilf_type(_93285, set_type), 298 ^ _83258 : [(299 ^ _83258) ^ [_93426] : [ilf_type(_93426, set_type), -(ilf_type(302 ^ [_93285, _93426], relation_type(_93426, _93285)))]]], (306 ^ _83258) ^ [_93695] : [ilf_type(_93695, set_type), 309 ^ _83258 : [(310 ^ _83258) ^ [_93831] : [ilf_type(_93831, set_type), -(ilf_type(cross_product(_93695, _93831), set_type))]]], (316 ^ _83258) ^ [_94040] : [ilf_type(_94040, set_type), 319 ^ _83258 : [(320 ^ _83258) ^ [_94176] : [ilf_type(_94176, set_type), -(ilf_type(ordered_pair(_94040, _94176), set_type))]]], (326 ^ _83258) ^ [_94385] : [ilf_type(_94385, set_type), 329 ^ _83258 : [(330 ^ _83258) ^ [_94530] : [ilf_type(_94530, set_type), 333 ^ _83258 : [(334 ^ _83258) ^ [] : [ilf_type(_94530, subset_type(_94385)), -(ilf_type(_94530, member_type(power_set(_94385))))], (340 ^ _83258) ^ [] : [ilf_type(_94530, member_type(power_set(_94385))), -(ilf_type(_94530, subset_type(_94385)))]]]]], (346 ^ _83258) ^ [_95001] : [ilf_type(_95001, set_type), -(ilf_type(349 ^ [_95001], subset_type(_95001)))], (353 ^ _83258) ^ [_95248] : [ilf_type(_95248, set_type), 356 ^ _83258 : [(357 ^ _83258) ^ [_95404] : [ilf_type(_95404, set_type), 360 ^ _83258 : [(375 ^ _83258) ^ [] : [377 ^ _83258 : [(378 ^ _83258) ^ [] : [-(ilf_type(376 ^ [_95248, _95404], set_type))], (380 ^ _83258) ^ [] : [-(member(376 ^ [_95248, _95404], _95248))], (382 ^ _83258) ^ [] : [member(376 ^ [_95248, _95404], _95404)]], -(subset(_95248, _95404))], (361 ^ _83258) ^ [] : [subset(_95248, _95404), 364 ^ _83258 : [(365 ^ _83258) ^ [_95663] : [ilf_type(_95663, set_type), member(_95663, _95248), -(member(_95663, _95404))]]]]]]], (386 ^ _83258) ^ [_96323] : [ilf_type(_96323, set_type), -(subset(_96323, _96323))], (392 ^ _83258) ^ [_96513] : [ilf_type(_96513, set_type), 395 ^ _83258 : [(396 ^ _83258) ^ [] : [relation_like(_96513), 399 ^ _83258 : [(400 ^ _83258) ^ [_96785] : [ilf_type(_96785, set_type), member(_96785, _96513), 408 ^ _83258 : [(409 ^ _83258) ^ [] : [-(ilf_type(407 ^ [_96513, _96785], set_type))], (412 ^ _83258) ^ [] : [-(ilf_type(410 ^ [_96513, _96785], set_type))], (414 ^ _83258) ^ [] : [-(_96785 = ordered_pair(407 ^ [_96513, _96785], 410 ^ [_96513, _96785]))]]]]], (416 ^ _83258) ^ [] : [-(relation_like(_96513)), 418 ^ _83258 : [(419 ^ _83258) ^ [] : [-(ilf_type(417 ^ [_96513], set_type))], (421 ^ _83258) ^ [] : [-(member(417 ^ [_96513], _96513))], (423 ^ _83258) ^ [_97624] : [ilf_type(_97624, set_type), 426 ^ _83258 : [(427 ^ _83258) ^ [_97771] : [ilf_type(_97771, set_type), 417 ^ [_96513] = ordered_pair(_97624, _97771)]]]]]]], (435 ^ _83258) ^ [_98056] : [ilf_type(_98056, set_type), 438 ^ _83258 : [(439 ^ _83258) ^ [_98204] : [ilf_type(_98204, set_type), 442 ^ _83258 : [(443 ^ _83258) ^ [_98347] : [ilf_type(_98347, subset_type(cross_product(_98056, _98204))), -(relation_like(_98347))]]]]], (449 ^ _83258) ^ [_98571] : [ilf_type(_98571, set_type), 452 ^ _83258 : [(453 ^ _83258) ^ [_98729] : [ilf_type(_98729, set_type), 456 ^ _83258 : [(471 ^ _83258) ^ [] : [473 ^ _83258 : [(474 ^ _83258) ^ [] : [-(ilf_type(472 ^ [_98571, _98729], set_type))], (476 ^ _83258) ^ [] : [-(member(472 ^ [_98571, _98729], _98571))], (478 ^ _83258) ^ [] : [member(472 ^ [_98571, _98729], _98729)]], -(member(_98571, power_set(_98729)))], (457 ^ _83258) ^ [] : [member(_98571, power_set(_98729)), 460 ^ _83258 : [(461 ^ _83258) ^ [_98992] : [ilf_type(_98992, set_type), member(_98992, _98571), -(member(_98992, _98729))]]]]]]], (482 ^ _83258) ^ [_99654] : [ilf_type(_99654, set_type), 485 ^ _83258 : [(486 ^ _83258) ^ [] : [empty(power_set(_99654))], (488 ^ _83258) ^ [] : [-(ilf_type(power_set(_99654), set_type))]]], (490 ^ _83258) ^ [_99924] : [ilf_type(_99924, set_type), 493 ^ _83258 : [(494 ^ _83258) ^ [_100072] : [-(empty(_100072)), ilf_type(_100072, set_type), 501 ^ _83258 : [(502 ^ _83258) ^ [] : [ilf_type(_99924, member_type(_100072)), -(member(_99924, _100072))], (508 ^ _83258) ^ [] : [member(_99924, _100072), -(ilf_type(_99924, member_type(_100072)))]]]]], (514 ^ _83258) ^ [_100623] : [-(ilf_type(521 ^ [_100623], member_type(_100623))), -(empty(_100623)), ilf_type(_100623, set_type)], (525 ^ _83258) ^ [_100956] : [ilf_type(_100956, set_type), 528 ^ _83258 : [(539 ^ _83258) ^ [] : [541 ^ _83258 : [(542 ^ _83258) ^ [] : [-(ilf_type(540 ^ [_100956], set_type))], (544 ^ _83258) ^ [] : [-(member(540 ^ [_100956], _100956))]], -(empty(_100956))], (529 ^ _83258) ^ [] : [empty(_100956), 532 ^ _83258 : [(533 ^ _83258) ^ [_101199] : [ilf_type(_101199, set_type), member(_101199, _100956)]]]]], (548 ^ _83258) ^ [_101659] : [-(relation_like(_101659)), empty(_101659), ilf_type(_101659, set_type)], (558 ^ _83258) ^ [_101930] : [ilf_type(_101930, set_type), 561 ^ _83258 : [(562 ^ _83258) ^ [_102083] : [ilf_type(_102083, set_type), 565 ^ _83258 : [(566 ^ _83258) ^ [_102231] : [ilf_type(_102231, relation_type(_101930, _102083)), -(domain(_101930, _102083, _102231) = domain_of(_102231))]]]]], (572 ^ _83258) ^ [_102465] : [ilf_type(_102465, set_type), 575 ^ _83258 : [(576 ^ _83258) ^ [_102618] : [ilf_type(_102618, set_type), 579 ^ _83258 : [(580 ^ _83258) ^ [_102766] : [ilf_type(_102766, relation_type(_102465, _102618)), -(ilf_type(domain(_102465, _102618, _102766), subset_type(_102465)))]]]]], (586 ^ _83258) ^ [_103000] : [ilf_type(_103000, set_type), 589 ^ _83258 : [(590 ^ _83258) ^ [_103153] : [ilf_type(_103153, set_type), 593 ^ _83258 : [(594 ^ _83258) ^ [_103301] : [ilf_type(_103301, relation_type(_103000, _103153)), -(range(_103000, _103153, _103301) = range_of(_103301))]]]]], (614 ^ _83258) ^ [_104035] : [-(ilf_type(_104035, set_type))], (600 ^ _83258) ^ [_103535] : [ilf_type(_103535, set_type), 603 ^ _83258 : [(604 ^ _83258) ^ [_103688] : [ilf_type(_103688, set_type), 607 ^ _83258 : [(608 ^ _83258) ^ [_103836] : [ilf_type(_103836, relation_type(_103535, _103688)), -(ilf_type(range(_103535, _103688, _103836), subset_type(_103688)))]]]]]], input).
% 0.36/1.37  ncf('1',plain,[ilf_type(615 ^ [], relation_type(domain_of(615 ^ []), range_of(615 ^ [])))],start(619 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(ilf_type(615 ^ [], relation_type(domain_of(615 ^ []), range_of(615 ^ [])))), 174 : ilf_type(615 ^ [], binary_relation_type), 174 : subset(domain_of(615 ^ []), domain_of(615 ^ [])), 174 : ilf_type(domain_of(615 ^ []), set_type)],extension(170 ^ 1,bind([[_89141, _89287], [domain_of(615 ^ []), 615 ^ []]]))).
% 0.36/1.37  ncf('1.1.1',plain,[-(ilf_type(615 ^ [], binary_relation_type))],extension(617 ^ 4)).
% 0.36/1.37  ncf('1.1.2',plain,[-(subset(domain_of(615 ^ []), domain_of(615 ^ []))), 380 : -(member(376 ^ [domain_of(615 ^ []), domain_of(615 ^ [])], domain_of(615 ^ []))), 375 : ilf_type(domain_of(615 ^ []), set_type), 357 : ilf_type(domain_of(615 ^ []), set_type)],extension(353 ^ 4,bind([[_95248, _95404], [domain_of(615 ^ []), domain_of(615 ^ [])]]))).
% 0.36/1.37  ncf('1.1.2.1',plain,[member(376 ^ [domain_of(615 ^ []), domain_of(615 ^ [])], domain_of(615 ^ []))],extension(382 ^ 11)).
% 0.36/1.37  ncf('1.1.2.2',plain,[-(ilf_type(domain_of(615 ^ []), set_type)), ilf_type(615 ^ [], binary_relation_type)],extension(211 ^ 7,bind([[_90508], [615 ^ []]]))).
% 0.36/1.37  ncf('1.1.2.2.1',plain,[-(ilf_type(615 ^ [], binary_relation_type))],lemmata('[1].x')).
% 0.36/1.37  ncf('1.1.2.3',plain,[-(ilf_type(domain_of(615 ^ []), set_type)), ilf_type(615 ^ [], binary_relation_type)],extension(211 ^ 5,bind([[_90508], [615 ^ []]]))).
% 0.36/1.37  ncf('1.1.2.3.1',plain,[-(ilf_type(615 ^ [], binary_relation_type))],lemmata('[1].x')).
% 0.36/1.37  ncf('1.1.3',plain,[-(ilf_type(domain_of(615 ^ []), set_type)), ilf_type(615 ^ [], binary_relation_type)],extension(211 ^ 2,bind([[_90508], [615 ^ []]]))).
% 0.36/1.37  ncf('1.1.3.1',plain,[-(ilf_type(615 ^ [], binary_relation_type))],extension(617 ^ 3)).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------