%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 12:02:53 EDT 2023

% Result   : Theorem 1.84s 2.40s
% Output   : Proof 1.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 13:33:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.84/2.40  
% 1.84/2.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.84/2.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.40  %-----------------------------------------------------
% 1.84/2.40  ncf(matrix, plain, [(391 ^ _61698) ^ [] : [-(relation(389 ^ []))], (393 ^ _61698) ^ [] : [-(transitive(389 ^ []))], (395 ^ _61698) ^ [] : [transitive(relation_restriction(389 ^ [], 388 ^ []))], (98 ^ _61698) ^ [_64855, _64857, _64859, _64861] : [-(unordered_pair(_64861, _64857) = unordered_pair(_64859, _64855)), _64861 = _64859, _64857 = _64855], (108 ^ _61698) ^ [_65186, _65188] : [_65188 = _65186, -(singleton(_65188) = singleton(_65186))], (114 ^ _61698) ^ [_65432, _65434, _65436, _65438] : [-(ordered_pair(_65438, _65434) = ordered_pair(_65436, _65432)), _65438 = _65436, _65434 = _65432], (124 ^ _61698) ^ [_65791, _65793, _65795, _65797] : [-(cartesian_product2(_65797, _65793) = cartesian_product2(_65795, _65791)), _65797 = _65795, _65793 = _65791], (134 ^ _61698) ^ [_66150, _66152, _66154, _66156] : [-(set_intersection2(_66156, _66152) = set_intersection2(_66154, _66150)), _66156 = _66154, _66152 = _66150], (144 ^ _61698) ^ [_66489, _66491, _66493, _66495] : [-(relation_restriction(_66495, _66491) = relation_restriction(_66493, _66489)), _66495 = _66493, _66491 = _66489], (2 ^ _61698) ^ [_61842] : [-(_61842 = _61842)], (4 ^ _61698) ^ [_61949, _61951] : [_61951 = _61949, -(_61949 = _61951)], (10 ^ _61698) ^ [_62153, _62155, _62157] : [-(_62157 = _62153), _62157 = _62155, _62155 = _62153], (20 ^ _61698) ^ [_62466, _62468] : [-(function(_62466)), _62468 = _62466, function(_62468)], (30 ^ _61698) ^ [_62761, _62763] : [-(one_to_one(_62761)), _62763 = _62761, one_to_one(_62763)], (40 ^ _61698) ^ [_63084, _63086, _63088, _63090] : [-(element(_63088, _63084)), element(_63090, _63086), _63090 = _63088, _63086 = _63084], (54 ^ _61698) ^ [_63528, _63530, _63532, _63534] : [-(in(_63532, _63528)), in(_63534, _63530), _63534 = _63532, _63530 = _63528], (68 ^ _61698) ^ [_63944, _63946] : [-(empty(_63944)), _63946 = _63944, empty(_63946)], (78 ^ _61698) ^ [_64239, _64241] : [-(relation(_64239)), _64241 = _64239, relation(_64241)], (88 ^ _61698) ^ [_64514, _64516] : [-(transitive(_64514)), _64516 = _64514, transitive(_64516)], (154 ^ _61698) ^ [_66842, _66844] : [in(_66844, _66842), in(_66842, _66844)], (160 ^ _61698) ^ [_67039] : [empty(_67039), -(function(_67039))], (166 ^ _61698) ^ [_67225] : [177 ^ _61698 : [(178 ^ _61698) ^ [] : [-(relation(_67225))], (180 ^ _61698) ^ [] : [-(function(_67225))], (182 ^ _61698) ^ [] : [-(one_to_one(_67225))]], relation(_67225), empty(_67225), function(_67225)], (184 ^ _61698) ^ [_67717, _67719] : [-(unordered_pair(_67719, _67717) = unordered_pair(_67717, _67719))], (186 ^ _61698) ^ [_67817, _67819] : [-(set_intersection2(_67819, _67817) = set_intersection2(_67817, _67819))], (188 ^ _61698) ^ [_67917, _67919] : [-(ordered_pair(_67919, _67917) = unordered_pair(unordered_pair(_67919, _67917), singleton(_67919)))], (190 ^ _61698) ^ [_68023] : [relation(_68023), 193 ^ _61698 : [(194 ^ _61698) ^ [_68142] : [-(relation_restriction(_68023, _68142) = set_intersection2(_68023, cartesian_product2(_68142, _68142)))]]], (196 ^ _61698) ^ [] : [true___, -(true___)], (202 ^ _61698) ^ [] : [true___, -(true___)], (208 ^ _61698) ^ [] : [true___, -(true___)], (214 ^ _61698) ^ [_68622, _68624] : [relation(_68624), -(relation(relation_restriction(_68624, _68622)))], (220 ^ _61698) ^ [] : [true___, -(true___)], (226 ^ _61698) ^ [] : [true___, -(true___)], (232 ^ _61698) ^ [] : [true___, -(true___)], (238 ^ _61698) ^ [] : [true___, -(true___)], (245 ^ _61698) ^ [_69320] : [-(element(243 ^ [_69320], _69320))], (247 ^ _61698) ^ [] : [-(empty(empty_set))], (249 ^ _61698) ^ [_69469, _69471] : [empty(ordered_pair(_69471, _69469))], (251 ^ _61698) ^ [_69565, _69567] : [-(set_intersection2(_69567, _69567) = _69567)], (253 ^ _61698) ^ [_69663] : [relation(_69663), 256 ^ _61698 : [(271 ^ _61698) ^ [] : [275 ^ _61698 : [(276 ^ _61698) ^ [] : [-(in(ordered_pair(272 ^ [_69663], 273 ^ [_69663]), _69663))], (278 ^ _61698) ^ [] : [-(in(ordered_pair(273 ^ [_69663], 274 ^ [_69663]), _69663))], (280 ^ _61698) ^ [] : [in(ordered_pair(272 ^ [_69663], 274 ^ [_69663]), _69663)]], -(transitive(_69663))], (257 ^ _61698) ^ [] : [transitive(_69663), 260 ^ _61698 : [(261 ^ _61698) ^ [_69955, _69957, _69959] : [-(in(ordered_pair(_69959, _69955), _69663)), in(ordered_pair(_69959, _69957), _69663), in(ordered_pair(_69957, _69955), _69663)]]]]], (285 ^ _61698) ^ [] : [-(relation(283 ^ []))], (287 ^ _61698) ^ [] : [-(function(283 ^ []))], (290 ^ _61698) ^ [] : [-(empty(288 ^ []))], (293 ^ _61698) ^ [] : [-(relation(291 ^ []))], (295 ^ _61698) ^ [] : [-(empty(291 ^ []))], (297 ^ _61698) ^ [] : [-(function(291 ^ []))], (300 ^ _61698) ^ [] : [empty(298 ^ [])], (303 ^ _61698) ^ [] : [-(relation(301 ^ []))], (305 ^ _61698) ^ [] : [-(function(301 ^ []))], (307 ^ _61698) ^ [] : [-(one_to_one(301 ^ []))], (309 ^ _61698) ^ [_71636, _71638, _71640, _71642] : [in(ordered_pair(_71642, _71640), cartesian_product2(_71638, _71636)), 312 ^ _61698 : [(313 ^ _61698) ^ [] : [-(in(_71642, _71638))], (315 ^ _61698) ^ [] : [-(in(_71640, _71636))]]], (317 ^ _61698) ^ [_71901, _71903, _71905, _71907] : [-(in(ordered_pair(_71907, _71905), cartesian_product2(_71903, _71901))), in(_71907, _71903), in(_71905, _71901)], (327 ^ _61698) ^ [_72248, _72250, _72252] : [relation(_72248), 330 ^ _61698 : [(331 ^ _61698) ^ [] : [in(_72252, relation_restriction(_72248, _72250)), 334 ^ _61698 : [(335 ^ _61698) ^ [] : [-(in(_72252, _72248))], (337 ^ _61698) ^ [] : [-(in(_72252, cartesian_product2(_72250, _72250)))]]], (339 ^ _61698) ^ [] : [-(in(_72252, relation_restriction(_72248, _72250))), in(_72252, _72248), in(_72252, cartesian_product2(_72250, _72250))]]], (349 ^ _61698) ^ [_72904, _72906] : [in(_72906, _72904), -(element(_72906, _72904))], (355 ^ _61698) ^ [_73085] : [-(set_intersection2(_73085, empty_set) = empty_set)], (357 ^ _61698) ^ [_73195, _73197] : [element(_73197, _73195), -(empty(_73195)), -(in(_73197, _73195))], (367 ^ _61698) ^ [_73479] : [empty(_73479), -(_73479 = empty_set)], (373 ^ _61698) ^ [_73681, _73683] : [in(_73683, _73681), empty(_73681)], (379 ^ _61698) ^ [_73868, _73870] : [empty(_73870), -(_73870 = _73868), empty(_73868)]], input).
% 1.84/2.40  ncf('1',plain,[transitive(relation_restriction(389 ^ [], 388 ^ []))],start(395 ^ 0)).
% 1.84/2.40  ncf('1.1',plain,[-(transitive(relation_restriction(389 ^ [], 388 ^ []))), 280 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])), 271 : relation(relation_restriction(389 ^ [], 388 ^ []))],extension(253 ^ 1,bind([[_69663], [relation_restriction(389 ^ [], 388 ^ [])]]))).
% 1.84/2.40  ncf('1.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ []))), 339 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ []), 339 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ [])), 339 : relation(389 ^ [])],extension(327 ^ 6,bind([[_72248, _72250, _72252], [389 ^ [], 388 ^ [], ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])])]]))).
% 1.84/2.40  ncf('1.1.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ [])), 261 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ []), 261 : in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ []), 261 : transitive(389 ^ []), 257 : relation(389 ^ [])],extension(253 ^ 9,bind([[_69663, _69955, _69957, _69959], [389 ^ [], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 272 ^ [relation_restriction(389 ^ [], 388 ^ [])]]]))).
% 1.84/2.40  ncf('1.1.1.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ [])), 331 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])), 331 : relation(389 ^ [])],extension(327 ^ 14,bind([[_72248, _72250, _72252], [389 ^ [], 388 ^ [], ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])])]]))).
% 1.84/2.40  ncf('1.1.1.1.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ []))), 271 : -(transitive(relation_restriction(389 ^ [], 388 ^ []))), 271 : relation(relation_restriction(389 ^ [], 388 ^ []))],extension(253 ^ 17,bind([[_69663], [relation_restriction(389 ^ [], 388 ^ [])]]))).
% 1.84/2.40  ncf('1.1.1.1.1.1.1',plain,[transitive(relation_restriction(389 ^ [], 388 ^ []))],reduction('1')).
% 1.84/2.40  ncf('1.1.1.1.1.1.2',plain,[-(relation(relation_restriction(389 ^ [], 388 ^ []))), relation(389 ^ [])],extension(214 ^ 18,bind([[_68622, _68624], [388 ^ [], 389 ^ []]]))).
% 1.84/2.40  ncf('1.1.1.1.1.1.2.1',plain,[-(relation(389 ^ []))],extension(391 ^ 19)).
% 1.84/2.40  ncf('1.1.1.1.1.2',plain,[-(relation(389 ^ []))],extension(391 ^ 15)).
% 1.84/2.40  ncf('1.1.1.1.2',plain,[-(in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), 389 ^ [])), 331 : in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])), 331 : relation(389 ^ [])],extension(327 ^ 14,bind([[_72248, _72250, _72252], [389 ^ [], 388 ^ [], ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])])]]))).
% 1.84/2.40  ncf('1.1.1.1.2.1',plain,[-(in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ []))), 271 : -(transitive(relation_restriction(389 ^ [], 388 ^ []))), 271 : relation(relation_restriction(389 ^ [], 388 ^ []))],extension(253 ^ 17,bind([[_69663], [relation_restriction(389 ^ [], 388 ^ [])]]))).
% 1.84/2.40  ncf('1.1.1.1.2.1.1',plain,[transitive(relation_restriction(389 ^ [], 388 ^ []))],reduction('1')).
% 1.84/2.40  ncf('1.1.1.1.2.1.2',plain,[-(relation(relation_restriction(389 ^ [], 388 ^ []))), relation(389 ^ [])],extension(214 ^ 18,bind([[_68622, _68624], [388 ^ [], 389 ^ []]]))).
% 1.84/2.40  ncf('1.1.1.1.2.1.2.1',plain,[-(relation(389 ^ []))],extension(391 ^ 19)).
% 1.84/2.40  ncf('1.1.1.1.2.2',plain,[-(relation(389 ^ []))],extension(391 ^ 15)).
% 1.84/2.40  ncf('1.1.1.1.3',plain,[-(transitive(389 ^ []))],extension(393 ^ 12)).
% 1.84/2.40  ncf('1.1.1.1.4',plain,[-(relation(389 ^ []))],extension(391 ^ 10)).
% 1.84/2.40  ncf('1.1.1.2',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ []))), in(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 388 ^ []), in(274 ^ [relation_restriction(389 ^ [], 388 ^ [])], 388 ^ [])],extension(317 ^ 9,bind([[_71901, _71903, _71905, _71907], [388 ^ [], 388 ^ [], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])], 272 ^ [relation_restriction(389 ^ [], 388 ^ [])]]]))).
% 1.84/2.40  ncf('1.1.1.2.1',plain,[-(in(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 388 ^ [])), in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ []))],extension(309 ^ 10,bind([[_71636, _71638, _71640, _71642], [388 ^ [], 388 ^ [], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 272 ^ [relation_restriction(389 ^ [], 388 ^ [])]]]))).
% 1.84/2.40  ncf('1.1.1.2.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ []))), 331 : in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])), 331 : relation(389 ^ [])],extension(327 ^ 11,bind([[_72248, _72250, _72252], [389 ^ [], 388 ^ [], ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])])]]))).
% 1.84/2.40  ncf('1.1.1.2.1.1.1',plain,[-(in(ordered_pair(272 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])))],extension(276 ^ 14)).
% 1.84/2.40  ncf('1.1.1.2.1.1.2',plain,[-(relation(389 ^ []))],extension(391 ^ 12)).
% 1.84/2.40  ncf('1.1.1.2.2',plain,[-(in(274 ^ [relation_restriction(389 ^ [], 388 ^ [])], 388 ^ [])), in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ []))],extension(309 ^ 10,bind([[_71636, _71638, _71640, _71642], [388 ^ [], 388 ^ [], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])], 273 ^ [relation_restriction(389 ^ [], 388 ^ [])]]]))).
% 1.84/2.40  ncf('1.1.1.2.2.1',plain,[-(in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), cartesian_product2(388 ^ [], 388 ^ []))), 331 : in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])), 331 : relation(389 ^ [])],extension(327 ^ 11,bind([[_72248, _72250, _72252], [389 ^ [], 388 ^ [], ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])])]]))).
% 1.84/2.40  ncf('1.1.1.2.2.1.1',plain,[-(in(ordered_pair(273 ^ [relation_restriction(389 ^ [], 388 ^ [])], 274 ^ [relation_restriction(389 ^ [], 388 ^ [])]), relation_restriction(389 ^ [], 388 ^ [])))],extension(278 ^ 14)).
% 1.84/2.40  ncf('1.1.1.2.2.1.2',plain,[-(relation(389 ^ []))],extension(391 ^ 12)).
% 1.84/2.40  ncf('1.1.1.3',plain,[-(relation(389 ^ []))],extension(391 ^ 7)).
% 1.84/2.40  ncf('1.1.2',plain,[-(relation(relation_restriction(389 ^ [], 388 ^ []))), relation(389 ^ [])],extension(214 ^ 2,bind([[_68622, _68624], [388 ^ [], 389 ^ []]]))).
% 1.84/2.40  ncf('1.1.2.1',plain,[-(relation(389 ^ []))],extension(391 ^ 3)).
% 1.84/2.40  %-----------------------------------------------------
% 1.84/2.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------