%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:52 EDT 2023

% Result   : Theorem 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 13:42:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(427 ^ _62704) ^ [] : [-(relation(425 ^ []))], (429 ^ _62704) ^ [] : [subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), relation_field(425 ^ [])), subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), 424 ^ [])], (102 ^ _62704) ^ [_65982, _65984] : [_65984 = _65982, -(relation_dom(_65984) = relation_dom(_65982))], (108 ^ _62704) ^ [_66200, _66202] : [_66202 = _66200, -(relation_rng(_66202) = relation_rng(_66200))], (114 ^ _62704) ^ [_66446, _66448, _66450, _66452] : [-(cartesian_product2(_66452, _66448) = cartesian_product2(_66450, _66446)), _66452 = _66450, _66448 = _66446], (124 ^ _62704) ^ [_66805, _66807, _66809, _66811] : [-(set_union2(_66811, _66807) = set_union2(_66809, _66805)), _66811 = _66809, _66807 = _66805], (134 ^ _62704) ^ [_67164, _67166, _67168, _67170] : [-(set_intersection2(_67170, _67166) = set_intersection2(_67168, _67164)), _67170 = _67168, _67166 = _67164], (144 ^ _62704) ^ [_67495, _67497] : [_67497 = _67495, -(powerset(_67497) = powerset(_67495))], (150 ^ _62704) ^ [_67713, _67715] : [_67715 = _67713, -(relation_field(_67715) = relation_field(_67713))], (156 ^ _62704) ^ [_67939, _67941, _67943, _67945] : [-(relation_restriction(_67945, _67941) = relation_restriction(_67943, _67939)), _67945 = _67943, _67941 = _67939], (2 ^ _62704) ^ [_62848] : [-(_62848 = _62848)], (4 ^ _62704) ^ [_62955, _62957] : [_62957 = _62955, -(_62955 = _62957)], (10 ^ _62704) ^ [_63159, _63161, _63163] : [-(_63163 = _63159), _63163 = _63161, _63161 = _63159], (20 ^ _62704) ^ [_63472, _63474] : [-(function(_63472)), _63474 = _63472, function(_63474)], (30 ^ _62704) ^ [_63767, _63769] : [-(one_to_one(_63767)), _63769 = _63767, one_to_one(_63769)], (40 ^ _62704) ^ [_64090, _64092, _64094, _64096] : [-(element(_64094, _64090)), element(_64096, _64092), _64096 = _64094, _64092 = _64090], (54 ^ _62704) ^ [_64534, _64536, _64538, _64540] : [-(in(_64538, _64534)), in(_64540, _64536), _64540 = _64538, _64536 = _64534], (68 ^ _62704) ^ [_64950, _64952] : [-(empty(_64950)), _64952 = _64950, empty(_64952)], (78 ^ _62704) ^ [_65245, _65247] : [-(relation(_65245)), _65247 = _65245, relation(_65247)], (88 ^ _62704) ^ [_65548, _65550, _65552, _65554] : [-(subset(_65552, _65548)), subset(_65554, _65550), _65554 = _65552, _65550 = _65548], (166 ^ _62704) ^ [_68300, _68302] : [in(_68302, _68300), in(_68300, _68302)], (172 ^ _62704) ^ [_68497] : [empty(_68497), -(function(_68497))], (178 ^ _62704) ^ [_68683] : [189 ^ _62704 : [(190 ^ _62704) ^ [] : [-(relation(_68683))], (192 ^ _62704) ^ [] : [-(function(_68683))], (194 ^ _62704) ^ [] : [-(one_to_one(_68683))]], relation(_68683), empty(_68683), function(_68683)], (196 ^ _62704) ^ [_69175, _69177] : [-(set_union2(_69177, _69175) = set_union2(_69175, _69177))], (198 ^ _62704) ^ [_69275, _69277] : [-(set_intersection2(_69277, _69275) = set_intersection2(_69275, _69277))], (210 ^ _62704) ^ [_69733, _69735] : [212 ^ _62704 : [(213 ^ _62704) ^ [] : [-(in(211 ^ [_69733, _69735], _69735))], (215 ^ _62704) ^ [] : [in(211 ^ [_69733, _69735], _69733)]], -(subset(_69735, _69733))], (200 ^ _62704) ^ [_69419, _69421] : [subset(_69421, _69419), 203 ^ _62704 : [(204 ^ _62704) ^ [_69556] : [in(_69556, _69421), -(in(_69556, _69419))]]], (219 ^ _62704) ^ [_70076] : [relation(_70076), -(relation_field(_70076) = set_union2(relation_dom(_70076), relation_rng(_70076)))], (225 ^ _62704) ^ [_70282] : [relation(_70282), 228 ^ _62704 : [(229 ^ _62704) ^ [_70401] : [-(relation_restriction(_70282, _70401) = set_intersection2(_70282, cartesian_product2(_70401, _70401)))]]], (231 ^ _62704) ^ [] : [true___, -(true___)], (237 ^ _62704) ^ [] : [true___, -(true___)], (243 ^ _62704) ^ [] : [true___, -(true___)], (249 ^ _62704) ^ [] : [true___, -(true___)], (255 ^ _62704) ^ [_71000, _71002] : [relation(_71002), -(relation(relation_restriction(_71002, _71000)))], (261 ^ _62704) ^ [] : [true___, -(true___)], (267 ^ _62704) ^ [] : [true___, -(true___)], (273 ^ _62704) ^ [] : [true___, -(true___)], (279 ^ _62704) ^ [] : [true___, -(true___)], (285 ^ _62704) ^ [] : [true___, -(true___)], (292 ^ _62704) ^ [_71817] : [-(element(290 ^ [_71817], _71817))], (294 ^ _62704) ^ [] : [-(empty(empty_set))], (296 ^ _62704) ^ [_71982, _71984] : [-(empty(_71984)), empty(set_union2(_71984, _71982))], (302 ^ _62704) ^ [_72198, _72200] : [-(empty(_72200)), empty(set_union2(_72198, _72200))], (308 ^ _62704) ^ [_72399, _72401] : [-(set_union2(_72401, _72401) = _72401)], (310 ^ _62704) ^ [_72496, _72498] : [-(set_intersection2(_72498, _72498) = _72498)], (313 ^ _62704) ^ [] : [-(relation(311 ^ []))], (315 ^ _62704) ^ [] : [-(function(311 ^ []))], (318 ^ _62704) ^ [] : [-(empty(316 ^ []))], (321 ^ _62704) ^ [] : [-(relation(319 ^ []))], (323 ^ _62704) ^ [] : [-(empty(319 ^ []))], (325 ^ _62704) ^ [] : [-(function(319 ^ []))], (328 ^ _62704) ^ [] : [empty(326 ^ [])], (331 ^ _62704) ^ [] : [-(relation(329 ^ []))], (333 ^ _62704) ^ [] : [-(function(329 ^ []))], (335 ^ _62704) ^ [] : [-(one_to_one(329 ^ []))], (337 ^ _62704) ^ [_73339, _73341] : [-(subset(_73341, _73341))], (339 ^ _62704) ^ [_73462, _73464, _73466] : [relation(_73462), in(_73466, relation_field(relation_restriction(_73462, _73464))), 346 ^ _62704 : [(347 ^ _62704) ^ [] : [-(in(_73466, relation_field(_73462)))], (349 ^ _62704) ^ [] : [-(in(_73466, _73464))]]], (351 ^ _62704) ^ [_73831] : [-(set_union2(_73831, empty_set) = _73831)], (353 ^ _62704) ^ [_73941, _73943] : [in(_73943, _73941), -(element(_73943, _73941))], (359 ^ _62704) ^ [_74122] : [-(set_intersection2(_74122, empty_set) = empty_set)], (361 ^ _62704) ^ [_74232, _74234] : [element(_74234, _74232), -(empty(_74232)), -(in(_74234, _74232))], (371 ^ _62704) ^ [_74559, _74561] : [element(_74561, powerset(_74559)), -(subset(_74561, _74559))], (377 ^ _62704) ^ [_74725, _74727] : [subset(_74727, _74725), -(element(_74727, powerset(_74725)))], (383 ^ _62704) ^ [_74955, _74957, _74959] : [-(element(_74959, _74955)), in(_74959, _74957), element(_74957, powerset(_74955))], (393 ^ _62704) ^ [_75282, _75284, _75286] : [in(_75286, _75284), element(_75284, powerset(_75282)), empty(_75282)], (403 ^ _62704) ^ [_75578] : [empty(_75578), -(_75578 = empty_set)], (409 ^ _62704) ^ [_75780, _75782] : [in(_75782, _75780), empty(_75780)], (415 ^ _62704) ^ [_75967, _75969] : [empty(_75969), -(_75969 = _75967), empty(_75967)]], input).
% 0.35/1.38  ncf('1',plain,[subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), relation_field(425 ^ [])), subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), 424 ^ [])],start(429 ^ 0)).
% 0.35/1.38  ncf('1.1',plain,[-(subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), relation_field(425 ^ []))), 213 : -(in(211 ^ [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(relation_restriction(425 ^ [], 424 ^ []))))],extension(210 ^ 1,bind([[_69733, _69735], [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))]]))).
% 0.35/1.38  ncf('1.1.1',plain,[in(211 ^ [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(relation_restriction(425 ^ [], 424 ^ []))), relation(425 ^ []), 347 : -(in(211 ^ [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(425 ^ [])))],extension(339 ^ 4,bind([[_73462, _73464, _73466], [425 ^ [], 424 ^ [], 211 ^ [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))]]]))).
% 0.35/1.38  ncf('1.1.1.1',plain,[-(relation(425 ^ []))],extension(427 ^ 5)).
% 0.35/1.38  ncf('1.1.1.2',plain,[in(211 ^ [relation_field(425 ^ []), relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(425 ^ []))],extension(215 ^ 7)).
% 0.35/1.38  ncf('1.2',plain,[-(subset(relation_field(relation_restriction(425 ^ [], 424 ^ [])), 424 ^ [])), 213 : -(in(211 ^ [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(relation_restriction(425 ^ [], 424 ^ []))))],extension(210 ^ 1,bind([[_69733, _69735], [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))]]))).
% 0.35/1.38  ncf('1.2.1',plain,[in(211 ^ [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))], relation_field(relation_restriction(425 ^ [], 424 ^ []))), relation(425 ^ []), 349 : -(in(211 ^ [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))], 424 ^ []))],extension(339 ^ 4,bind([[_73462, _73464, _73466], [425 ^ [], 424 ^ [], 211 ^ [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))]]]))).
% 0.35/1.38  ncf('1.2.1.1',plain,[-(relation(425 ^ []))],extension(427 ^ 5)).
% 0.35/1.38  ncf('1.2.1.2',plain,[in(211 ^ [424 ^ [], relation_field(relation_restriction(425 ^ [], 424 ^ []))], 424 ^ [])],extension(215 ^ 7)).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------