%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 12:02:07 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n014.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 12:25:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(434 ^ _66515) ^ [] : [-(relation(432 ^ []))], (436 ^ _66515) ^ [] : [-(function(432 ^ []))], (438 ^ _66515) ^ [] : [447 ^ _66515 : [(448 ^ _66515) ^ [] : [-(in(431 ^ [], relation_dom(432 ^ [])))], (450 ^ _66515) ^ [] : [-(in(apply(432 ^ [], 431 ^ []), 430 ^ []))], (452 ^ _66515) ^ [] : [in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ [])))]], 439 ^ _66515 : [(440 ^ _66515) ^ [] : [-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))))], (442 ^ _66515) ^ [] : [in(431 ^ [], relation_dom(432 ^ [])), in(apply(432 ^ [], 431 ^ []), 430 ^ [])]]], (112 ^ _66515) ^ [_70090, _70092] : [_70092 = _70090, -(powerset(_70092) = powerset(_70090))], (118 ^ _66515) ^ [_70336, _70338, _70340, _70342] : [-(relation_rng_restriction(_70342, _70338) = relation_rng_restriction(_70340, _70336)), _70342 = _70340, _70338 = _70336], (128 ^ _66515) ^ [_70667, _70669] : [_70669 = _70667, -(relation_dom(_70669) = relation_dom(_70667))], (134 ^ _66515) ^ [_70893, _70895, _70897, _70899] : [-(apply(_70899, _70895) = apply(_70897, _70893)), _70899 = _70897, _70895 = _70893], (2 ^ _66515) ^ [_66659] : [-(_66659 = _66659)], (4 ^ _66515) ^ [_66766, _66768] : [_66768 = _66766, -(_66766 = _66768)], (10 ^ _66515) ^ [_66970, _66972, _66974] : [-(_66974 = _66970), _66974 = _66972, _66972 = _66970], (20 ^ _66515) ^ [_67311, _67313, _67315, _67317] : [-(subset(_67315, _67311)), subset(_67317, _67313), _67317 = _67315, _67313 = _67311], (34 ^ _66515) ^ [_67727, _67729] : [-(one_to_one(_67727)), _67729 = _67727, one_to_one(_67729)], (44 ^ _66515) ^ [_68022, _68024] : [-(relation_empty_yielding(_68022)), _68024 = _68022, relation_empty_yielding(_68024)], (54 ^ _66515) ^ [_68345, _68347, _68349, _68351] : [-(element(_68349, _68345)), element(_68351, _68347), _68351 = _68349, _68347 = _68345], (68 ^ _66515) ^ [_68761, _68763] : [-(empty(_68761)), _68763 = _68761, empty(_68763)], (78 ^ _66515) ^ [_69056, _69058] : [-(relation(_69056)), _69058 = _69056, relation(_69058)], (88 ^ _66515) ^ [_69351, _69353] : [-(function(_69351)), _69353 = _69351, function(_69353)], (98 ^ _66515) ^ [_69654, _69656, _69658, _69660] : [-(in(_69658, _69654)), in(_69660, _69656), _69660 = _69658, _69656 = _69654], (144 ^ _66515) ^ [_71223, _71225] : [-(subset(_71225, _71225))], (146 ^ _66515) ^ [] : [-(empty(empty_set))], (148 ^ _66515) ^ [] : [-(relation(empty_set))], (150 ^ _66515) ^ [] : [-(empty(empty_set))], (152 ^ _66515) ^ [] : [-(relation(empty_set))], (154 ^ _66515) ^ [] : [-(relation_empty_yielding(empty_set))], (156 ^ _66515) ^ [] : [-(empty(empty_set))], (159 ^ _66515) ^ [_71666] : [-(element(157 ^ [_71666], _71666))], (161 ^ _66515) ^ [_71764] : [empty(_71764), -(function(_71764))], (167 ^ _66515) ^ [_71950] : [178 ^ _66515 : [(179 ^ _66515) ^ [] : [-(relation(_71950))], (181 ^ _66515) ^ [] : [-(function(_71950))], (183 ^ _66515) ^ [] : [-(one_to_one(_71950))]], relation(_71950), empty(_71950), function(_71950)], (185 ^ _66515) ^ [_72427] : [empty(powerset(_72427))], (187 ^ _66515) ^ [_72521] : [empty(relation_dom(_72521)), -(empty(_72521)), relation(_72521)], (197 ^ _66515) ^ [_72798] : [empty(_72798), 200 ^ _66515 : [(201 ^ _66515) ^ [] : [-(empty(relation_dom(_72798)))], (203 ^ _66515) ^ [] : [-(relation(relation_dom(_72798)))]]], (205 ^ _66515) ^ [_73063] : [empty(_73063), -(relation(_73063))], (211 ^ _66515) ^ [_73263, _73265] : [element(_73265, _73263), -(empty(_73263)), -(in(_73265, _73263))], (221 ^ _66515) ^ [_73590, _73592] : [element(_73592, powerset(_73590)), -(subset(_73592, _73590))], (227 ^ _66515) ^ [_73756, _73758] : [subset(_73758, _73756), -(element(_73758, powerset(_73756)))], (233 ^ _66515) ^ [_73986, _73988, _73990] : [-(element(_73990, _73986)), in(_73990, _73988), element(_73988, powerset(_73986))], (243 ^ _66515) ^ [_74313, _74315, _74317] : [in(_74317, _74315), element(_74315, powerset(_74313)), empty(_74313)], (253 ^ _66515) ^ [_74609] : [empty(_74609), -(_74609 = empty_set)], (259 ^ _66515) ^ [_74811, _74813] : [empty(_74813), -(_74813 = _74811), empty(_74811)], (269 ^ _66515) ^ [_75108, _75110] : [in(_75110, _75108), in(_75108, _75110)], (275 ^ _66515) ^ [_75319, _75321] : [relation(_75319), -(relation(relation_rng_restriction(_75321, _75319)))], (281 ^ _66515) ^ [_75531, _75533] : [288 ^ _66515 : [(289 ^ _66515) ^ [] : [-(relation(relation_rng_restriction(_75533, _75531)))], (291 ^ _66515) ^ [] : [-(function(relation_rng_restriction(_75533, _75531)))]], relation(_75531), function(_75531)], (294 ^ _66515) ^ [] : [-(relation(292 ^ []))], (296 ^ _66515) ^ [] : [-(function(292 ^ []))], (299 ^ _66515) ^ [] : [-(relation(297 ^ []))], (301 ^ _66515) ^ [] : [-(empty(297 ^ []))], (303 ^ _66515) ^ [] : [-(function(297 ^ []))], (306 ^ _66515) ^ [] : [-(relation(304 ^ []))], (308 ^ _66515) ^ [] : [-(function(304 ^ []))], (310 ^ _66515) ^ [] : [-(one_to_one(304 ^ []))], (312 ^ _66515) ^ [_76462] : [-(empty(_76462)), 316 ^ _66515 : [(317 ^ _66515) ^ [] : [-(element(315 ^ [_76462], powerset(_76462)))], (319 ^ _66515) ^ [] : [empty(315 ^ [_76462])]]], (322 ^ _66515) ^ [_76845] : [-(element(320 ^ [_76845], powerset(_76845)))], (324 ^ _66515) ^ [_76896] : [-(empty(320 ^ [_76896]))], (327 ^ _66515) ^ [] : [-(empty(325 ^ []))], (329 ^ _66515) ^ [] : [-(relation(325 ^ []))], (332 ^ _66515) ^ [] : [empty(330 ^ [])], (334 ^ _66515) ^ [] : [-(relation(330 ^ []))], (337 ^ _66515) ^ [] : [-(relation(335 ^ []))], (339 ^ _66515) ^ [] : [-(relation_empty_yielding(335 ^ []))], (342 ^ _66515) ^ [] : [-(empty(340 ^ []))], (345 ^ _66515) ^ [] : [empty(343 ^ [])], (347 ^ _66515) ^ [_77636, _77638] : [in(_77638, _77636), -(element(_77638, _77636))], (353 ^ _66515) ^ [_77846, _77848] : [in(_77848, _77846), empty(_77846)], (359 ^ _66515) ^ [_78033, _78035] : [relation(_78033), function(_78033), 366 ^ _66515 : [(367 ^ _66515) ^ [_78317] : [relation(_78317), function(_78317), 374 ^ _66515 : [(403 ^ _66515) ^ [] : [-(_78033 = relation_rng_restriction(_78035, _78317)), 424 ^ _66515 : [(425 ^ _66515) ^ [] : [-(in(423 ^ [_78033, _78035, _78317], relation_dom(_78033)))], (427 ^ _66515) ^ [] : [apply(_78033, 423 ^ [_78033, _78035, _78317]) = apply(_78317, 423 ^ [_78033, _78035, _78317])]], 417 ^ _66515 : [(418 ^ _66515) ^ [] : [-(in(406 ^ [_78033, _78035, _78317], relation_dom(_78317)))], (420 ^ _66515) ^ [] : [-(in(apply(_78317, 406 ^ [_78033, _78035, _78317]), _78035))], (422 ^ _66515) ^ [] : [in(406 ^ [_78033, _78035, _78317], relation_dom(_78033))]], 409 ^ _66515 : [(410 ^ _66515) ^ [] : [-(in(406 ^ [_78033, _78035, _78317], relation_dom(_78033)))], (412 ^ _66515) ^ [] : [in(406 ^ [_78033, _78035, _78317], relation_dom(_78317)), in(apply(_78317, 406 ^ [_78033, _78035, _78317]), _78035)]]], (375 ^ _66515) ^ [] : [_78033 = relation_rng_restriction(_78035, _78317), 378 ^ _66515 : [(397 ^ _66515) ^ [_79342] : [in(_79342, relation_dom(_78033)), -(apply(_78033, _79342) = apply(_78317, _79342))], (379 ^ _66515) ^ [_78762] : [in(_78762, relation_dom(_78033)), 382 ^ _66515 : [(383 ^ _66515) ^ [] : [-(in(_78762, relation_dom(_78317)))], (385 ^ _66515) ^ [] : [-(in(apply(_78317, _78762), _78035))]]], (387 ^ _66515) ^ [_79035] : [-(in(_79035, relation_dom(_78033))), in(_79035, relation_dom(_78317)), in(apply(_78317, _79035), _78035)]]]]]]]], input).
% 0.35/1.39  ncf('1',plain,[452 : in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))), 442 : in(431 ^ [], relation_dom(432 ^ [])), 442 : in(apply(432 ^ [], 431 ^ []), 430 ^ [])],start(438 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ [])))), 387 : in(431 ^ [], relation_dom(432 ^ [])), 387 : in(apply(432 ^ [], 431 ^ []), 430 ^ []), 387 : relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []), 375 : relation(432 ^ []), 375 : function(432 ^ []), 367 : relation(relation_rng_restriction(430 ^ [], 432 ^ [])), 367 : function(relation_rng_restriction(430 ^ [], 432 ^ []))],extension(359 ^ 3,bind([[_78033, _78035, _78317, _79035], [relation_rng_restriction(430 ^ [], 432 ^ []), 430 ^ [], 432 ^ [], 431 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(in(431 ^ [], relation_dom(432 ^ [])))],extension(448 ^ 10)).
% 0.35/1.39  ncf('1.1.2',plain,[-(in(apply(432 ^ [], 431 ^ []), 430 ^ []))],extension(450 ^ 10)).
% 0.35/1.39  ncf('1.1.3',plain,[-(relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []))],extension(2 ^ 8,bind([[_66659], [relation_rng_restriction(430 ^ [], 432 ^ [])]]))).
% 0.35/1.39  ncf('1.1.4',plain,[-(relation(432 ^ []))],extension(434 ^ 6)).
% 0.35/1.39  ncf('1.1.5',plain,[-(function(432 ^ []))],extension(436 ^ 6)).
% 0.35/1.39  ncf('1.1.6',plain,[-(relation(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ [])],extension(275 ^ 4,bind([[_75319, _75321], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.1.6.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.1.7',plain,[-(function(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ []), function(432 ^ [])],extension(281 ^ 4,bind([[_75531, _75533], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.1.7.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.1.7.2',plain,[-(function(432 ^ []))],extension(436 ^ 5)).
% 0.35/1.39  ncf('1.2',plain,[-(in(431 ^ [], relation_dom(432 ^ []))), 379 : in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))), 379 : relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []), 375 : relation(432 ^ []), 375 : function(432 ^ []), 367 : relation(relation_rng_restriction(430 ^ [], 432 ^ [])), 367 : function(relation_rng_restriction(430 ^ [], 432 ^ []))],extension(359 ^ 3,bind([[_78033, _78035, _78317, _78762], [relation_rng_restriction(430 ^ [], 432 ^ []), 430 ^ [], 432 ^ [], 431 ^ []]]))).
% 0.35/1.39  ncf('1.2.1',plain,[-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))))],extension(440 ^ 10)).
% 0.35/1.39  ncf('1.2.2',plain,[-(relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []))],extension(2 ^ 8,bind([[_66659], [relation_rng_restriction(430 ^ [], 432 ^ [])]]))).
% 0.35/1.39  ncf('1.2.3',plain,[-(relation(432 ^ []))],extension(434 ^ 6)).
% 0.35/1.39  ncf('1.2.4',plain,[-(function(432 ^ []))],extension(436 ^ 6)).
% 0.35/1.39  ncf('1.2.5',plain,[-(relation(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ [])],extension(275 ^ 4,bind([[_75319, _75321], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.2.5.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.2.6',plain,[-(function(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ []), function(432 ^ [])],extension(281 ^ 4,bind([[_75531, _75533], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.2.6.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.2.6.2',plain,[-(function(432 ^ []))],extension(436 ^ 5)).
% 0.35/1.39  ncf('1.3',plain,[-(in(apply(432 ^ [], 431 ^ []), 430 ^ [])), 379 : in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))), 379 : relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []), 375 : relation(432 ^ []), 375 : function(432 ^ []), 367 : relation(relation_rng_restriction(430 ^ [], 432 ^ [])), 367 : function(relation_rng_restriction(430 ^ [], 432 ^ []))],extension(359 ^ 3,bind([[_78033, _78035, _78317, _78762], [relation_rng_restriction(430 ^ [], 432 ^ []), 430 ^ [], 432 ^ [], 431 ^ []]]))).
% 0.35/1.39  ncf('1.3.1',plain,[-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))))],extension(440 ^ 10)).
% 0.35/1.39  ncf('1.3.2',plain,[-(relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []))],extension(2 ^ 8,bind([[_66659], [relation_rng_restriction(430 ^ [], 432 ^ [])]]))).
% 0.35/1.39  ncf('1.3.3',plain,[-(relation(432 ^ []))],extension(434 ^ 6)).
% 0.35/1.39  ncf('1.3.4',plain,[-(function(432 ^ []))],extension(436 ^ 6)).
% 0.35/1.39  ncf('1.3.5',plain,[-(relation(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ [])],extension(275 ^ 4,bind([[_75319, _75321], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.3.5.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.3.6',plain,[-(function(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ []), function(432 ^ [])],extension(281 ^ 4,bind([[_75531, _75533], [432 ^ [], 430 ^ []]]))).
% 0.35/1.39  ncf('1.3.6.1',plain,[-(relation(432 ^ []))],extension(434 ^ 5)).
% 0.35/1.39  ncf('1.3.6.2',plain,[-(function(432 ^ []))],extension(436 ^ 5)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------