%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:50 EDT 2023

% Result   : Theorem 43.36s 42.88s
% Output   : Proof 43.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 13:20:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 43.36/42.88  
% 43.36/42.88  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.36/42.88  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.36/42.88  %-----------------------------------------------------
% 43.36/42.88  ncf(matrix, plain, [(428 ^ _84826) ^ [] : [429 ^ _84826 : [(435 ^ _84826) ^ [] : [-(in(ordered_pair(431 ^ [], 432 ^ []), 424 ^ []))], (437 ^ _84826) ^ [] : [-(in(ordered_pair(432 ^ [], 433 ^ []), 424 ^ []))], (439 ^ _84826) ^ [] : [in(ordered_pair(431 ^ [], 433 ^ []), 424 ^ [])], (430 ^ _84826) ^ [] : [-(transitive(424 ^ []))]], 440 ^ _84826 : [(441 ^ _84826) ^ [_85407, _85409, _85411] : [-(in(ordered_pair(_85411, _85407), 424 ^ [])), in(ordered_pair(_85411, _85409), 424 ^ []), in(ordered_pair(_85409, _85407), 424 ^ [])], (451 ^ _84826) ^ [] : [transitive(424 ^ [])]]], (426 ^ _84826) ^ [] : [-(relation(424 ^ []))], !, (357 ^ _71012) ^ [] : [-(relation(355 ^ []))], (415 ^ _71012) ^ [_84391, _84393] : [empty(_84393), -(_84393 = _84391), empty(_84391)], (381 ^ _71012) ^ [_83306, _83308] : [element(_83308, _83306), -(empty(_83306)), -(in(_83308, _83306))], (403 ^ _71012) ^ [_84002] : [empty(_84002), -(_84002 = empty_set)], (44 ^ _71012) ^ [_72499, _72501] : [-(one_to_one(_72499)), _72501 = _72499, one_to_one(_72501)], (112 ^ _71012) ^ [_74595, _74597, _74599, _74601] : [-(unordered_pair(_74601, _74597) = unordered_pair(_74599, _74595)), _74601 = _74599, _74597 = _74595], (409 ^ _71012) ^ [_84204, _84206] : [in(_84206, _84204), empty(_84204)], (291 ^ _71012) ^ [] : [true___, -(true___)], (34 ^ _71012) ^ [_72204, _72206] : [-(function(_72204)), _72206 = _72204, function(_72206)], (279 ^ _71012) ^ [] : [true___, -(true___)], (200 ^ _71012) ^ [_77598] : [relation(_77598), 203 ^ _71012 : [(210 ^ _71012) ^ [] : [is_transitive_in(_77598, relation_field(_77598)), -(transitive(_77598))], (204 ^ _71012) ^ [] : [transitive(_77598), -(is_transitive_in(_77598, relation_field(_77598)))]]], (216 ^ _71012) ^ [_78028, _78030] : [-(ordered_pair(_78030, _78028) = unordered_pair(unordered_pair(_78030, _78028), singleton(_78030)))], (285 ^ _71012) ^ [] : [true___, -(true___)], (54 ^ _71012) ^ [_72822, _72824, _72826, _72828] : [-(element(_72826, _72822)), element(_72828, _72824), _72828 = _72826, _72824 = _72822], (359 ^ _71012) ^ [] : [-(empty(355 ^ []))], (391 ^ _71012) ^ [_83618, _83620, _83622] : [relation(_83618), in(ordered_pair(_83622, _83620), _83618), 398 ^ _71012 : [(401 ^ _71012) ^ [] : [-(in(_83620, relation_field(_83618)))], (399 ^ _71012) ^ [] : [-(in(_83622, relation_field(_83618)))]]], (346 ^ _71012) ^ [_82157, _82159] : [-(set_union2(_82159, _82159) = _82159)], (309 ^ _71012) ^ [] : [true___, -(true___)], (273 ^ _71012) ^ [] : [true___, -(true___)], (369 ^ _71012) ^ [] : [-(function(365 ^ []))], (128 ^ _71012) ^ [_75144, _75146] : [_75146 = _75144, -(relation_dom(_75146) = relation_dom(_75144))], (332 ^ _71012) ^ [_81629, _81631] : [empty(ordered_pair(_81631, _81629))], (373 ^ _71012) ^ [_82986] : [-(set_union2(_82986, empty_set) = _82986)], (122 ^ _71012) ^ [_74926, _74928] : [_74928 = _74926, -(singleton(_74928) = singleton(_74926))], (218 ^ _71012) ^ [_78134] : [relation(_78134), -(relation_field(_78134) = set_union2(relation_dom(_78134), relation_rng(_78134)))], (349 ^ _71012) ^ [] : [-(relation(347 ^ []))], (315 ^ _71012) ^ [] : [true___, -(true___)], (140 ^ _71012) ^ [_75608, _75610, _75612, _75614] : [-(set_union2(_75614, _75610) = set_union2(_75612, _75608)), _75614 = _75612, _75610 = _75608], (20 ^ _71012) ^ [_71788, _71790, _71792, _71794] : [-(is_transitive_in(_71792, _71788)), is_transitive_in(_71794, _71790), _71794 = _71792, _71790 = _71788], (354 ^ _71012) ^ [] : [-(empty(352 ^ []))], (328 ^ _71012) ^ [_81480] : [-(element(326 ^ [_81480], _81480))], (321 ^ _71012) ^ [] : [true___, -(true___)], (68 ^ _71012) ^ [_73238, _73240] : [-(empty(_73238)), _73240 = _73238, empty(_73240)], (4 ^ _71012) ^ [_71243, _71245] : [_71245 = _71243, -(_71243 = _71245)], (334 ^ _71012) ^ [_81740, _81742] : [-(empty(_81742)), empty(set_union2(_81742, _81740))], (351 ^ _71012) ^ [] : [-(function(347 ^ []))], (361 ^ _71012) ^ [] : [-(function(355 ^ []))], (198 ^ _71012) ^ [_77497, _77499] : [-(set_union2(_77499, _77497) = set_union2(_77497, _77499))], (134 ^ _71012) ^ [_75362, _75364] : [_75364 = _75362, -(relation_rng(_75364) = relation_rng(_75362))], (375 ^ _71012) ^ [_83096, _83098] : [in(_83098, _83096), -(element(_83098, _83096))], (297 ^ _71012) ^ [] : [true___, -(true___)], (10 ^ _71012) ^ [_71447, _71449, _71451] : [-(_71451 = _71447), _71451 = _71449, _71449 = _71447], (88 ^ _71012) ^ [_73828, _73830] : [-(transitive(_73828)), _73830 = _73828, transitive(_73830)], (371 ^ _71012) ^ [] : [-(one_to_one(365 ^ []))], (303 ^ _71012) ^ [] : [true___, -(true___)], (330 ^ _71012) ^ [] : [-(empty(empty_set))], (340 ^ _71012) ^ [_81956, _81958] : [-(empty(_81958)), empty(set_union2(_81956, _81958))], (78 ^ _71012) ^ [_73533, _73535] : [-(relation(_73533)), _73535 = _73533, relation(_73535)], (98 ^ _71012) ^ [_74131, _74133, _74135, _74137] : [-(in(_74135, _74131)), in(_74137, _74133), _74137 = _74135, _74133 = _74131], (156 ^ _71012) ^ [_76165, _76167, _76169, _76171] : [-(ordered_pair(_76171, _76167) = ordered_pair(_76169, _76165)), _76171 = _76169, _76167 = _76165], (2 ^ _71012) ^ [_71136] : [-(_71136 = _71136)], (178 ^ _71012) ^ [_76905] : [189 ^ _71012 : [(194 ^ _71012) ^ [] : [-(one_to_one(_76905))], (192 ^ _71012) ^ [] : [-(function(_76905))], (190 ^ _71012) ^ [] : [-(relation(_76905))]], relation(_76905), empty(_76905), function(_76905)], (172 ^ _71012) ^ [_76719] : [empty(_76719), -(function(_76719))], (196 ^ _71012) ^ [_77397, _77399] : [-(unordered_pair(_77399, _77397) = unordered_pair(_77397, _77399))], (367 ^ _71012) ^ [] : [-(relation(365 ^ []))], (166 ^ _71012) ^ [_76522, _76524] : [in(_76524, _76522), in(_76522, _76524)], (364 ^ _71012) ^ [] : [empty(362 ^ [])], (224 ^ _71012) ^ [_78340] : [relation(_78340), 227 ^ _71012 : [(228 ^ _71012) ^ [_78554] : [is_transitive_in(_78340, _78554), 231 ^ _71012 : [(232 ^ _71012) ^ [_78764, _78766, _78768] : [-(in(ordered_pair(_78768, _78764), _78340)), in(_78768, _78554), in(_78766, _78554), in(_78764, _78554), in(ordered_pair(_78768, _78766), _78340), in(ordered_pair(_78766, _78764), _78340)]]], (254 ^ _71012) ^ [_79375] : [258 ^ _71012 : [(261 ^ _71012) ^ [] : [-(in(256 ^ [_78340, _79375], _79375))], (259 ^ _71012) ^ [] : [-(in(255 ^ [_78340, _79375], _79375))], (269 ^ _71012) ^ [] : [in(ordered_pair(255 ^ [_78340, _79375], 257 ^ [_78340, _79375]), _78340)], (265 ^ _71012) ^ [] : [-(in(ordered_pair(255 ^ [_78340, _79375], 256 ^ [_78340, _79375]), _78340))], (267 ^ _71012) ^ [] : [-(in(ordered_pair(256 ^ [_78340, _79375], 257 ^ [_78340, _79375]), _78340))], (263 ^ _71012) ^ [] : [-(in(257 ^ [_78340, _79375], _79375))]], -(is_transitive_in(_78340, _79375))]]], (150 ^ _71012) ^ [_75939, _75941] : [_75941 = _75939, -(relation_field(_75941) = relation_field(_75939))]], input).
% 43.36/42.88  ncf('1',plain,[435 : -(in(ordered_pair(431 ^ [], 432 ^ []), 424 ^ [])), 451 : transitive(424 ^ [])],start(428 ^ 0)).
% 43.36/42.88  ncf('1.1',plain,[in(ordered_pair(431 ^ [], 432 ^ []), 424 ^ []), relation(424 ^ []), 401 : -(in(432 ^ [], relation_field(424 ^ [])))],extension(391 ^ 3,bind([[_83618, _83620, _83622], [424 ^ [], 432 ^ [], 431 ^ []]]))).
% 43.36/42.88  ncf('1.1.1',plain,[-(relation(424 ^ []))],extension(426 ^ 4)).
% 43.36/42.88  ncf('1.1.2',plain,[in(432 ^ [], relation_field(424 ^ [])), 232 : -(in(ordered_pair(431 ^ [], 433 ^ []), 424 ^ [])), 232 : in(431 ^ [], relation_field(424 ^ [])), 232 : in(433 ^ [], relation_field(424 ^ [])), 232 : in(ordered_pair(431 ^ [], 432 ^ []), 424 ^ []), 232 : in(ordered_pair(432 ^ [], 433 ^ []), 424 ^ []), 232 : is_transitive_in(424 ^ [], relation_field(424 ^ [])), 228 : relation(424 ^ [])],extension(224 ^ 6,bind([[_78340, _78554, _78764, _78766, _78768], [424 ^ [], relation_field(424 ^ []), 433 ^ [], 432 ^ [], 431 ^ []]]))).
% 43.36/42.88  ncf('1.1.2.1',plain,[in(ordered_pair(431 ^ [], 433 ^ []), 424 ^ [])],extension(439 ^ 11)).
% 43.36/42.88  ncf('1.1.2.2',plain,[-(in(431 ^ [], relation_field(424 ^ [])))],extension(399 ^ 11)).
% 43.36/42.88  ncf('1.1.2.3',plain,[-(in(433 ^ [], relation_field(424 ^ []))), relation(424 ^ []), in(ordered_pair(432 ^ [], 433 ^ []), 424 ^ [])],extension(391 ^ 11,bind([[_83618, _83620, _83622], [424 ^ [], 433 ^ [], 432 ^ []]]))).
% 43.36/42.88  ncf('1.1.2.3.1',plain,[-(relation(424 ^ []))],lemmata('[1].x')).
% 43.36/42.88  ncf('1.1.2.3.2',plain,[-(in(ordered_pair(432 ^ [], 433 ^ []), 424 ^ []))],extension(437 ^ 12)).
% 43.36/42.88  ncf('1.1.2.4',plain,[-(in(ordered_pair(431 ^ [], 432 ^ []), 424 ^ []))],reduction('1')).
% 43.36/42.88  ncf('1.1.2.5',plain,[-(in(ordered_pair(432 ^ [], 433 ^ []), 424 ^ []))],extension(437 ^ 11)).
% 43.36/42.88  ncf('1.1.2.6',plain,[-(is_transitive_in(424 ^ [], relation_field(424 ^ []))), 204 : transitive(424 ^ []), 204 : relation(424 ^ [])],extension(200 ^ 9,bind([[_77598], [424 ^ []]]))).
% 43.36/42.88  ncf('1.1.2.6.1',plain,[-(transitive(424 ^ []))],extension(430 ^ 12)).
% 43.36/42.88  ncf('1.1.2.6.2',plain,[-(relation(424 ^ []))],lemmata('[1].x')).
% 43.36/42.88  ncf('1.1.2.7',plain,[-(relation(424 ^ []))],lemmata('[1].x')).
% 43.36/42.88  ncf('1.2',plain,[-(transitive(424 ^ [])), 210 : is_transitive_in(424 ^ [], relation_field(424 ^ [])), 210 : relation(424 ^ [])],extension(200 ^ 3,bind([[_77598], [424 ^ []]]))).
% 43.36/42.88  ncf('1.2.1',plain,[-(is_transitive_in(424 ^ [], relation_field(424 ^ []))), 269 : in(ordered_pair(255 ^ [424 ^ [], relation_field(424 ^ [])], 257 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ []), 254 : relation(424 ^ [])],extension(224 ^ 6,bind([[_78340, _79375], [424 ^ [], relation_field(424 ^ [])]]))).
% 43.36/42.88  ncf('1.2.1.1',plain,[-(in(ordered_pair(255 ^ [424 ^ [], relation_field(424 ^ [])], 257 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ [])), in(ordered_pair(255 ^ [424 ^ [], relation_field(424 ^ [])], 256 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ []), in(ordered_pair(256 ^ [424 ^ [], relation_field(424 ^ [])], 257 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ [])],extension(441 ^ 11,bind([[_85407, _85409, _85411], [257 ^ [424 ^ [], relation_field(424 ^ [])], 256 ^ [424 ^ [], relation_field(424 ^ [])], 255 ^ [424 ^ [], relation_field(424 ^ [])]]]))).
% 43.36/42.88  ncf('1.2.1.1.1',plain,[-(in(ordered_pair(255 ^ [424 ^ [], relation_field(424 ^ [])], 256 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ []))],extension(265 ^ 12)).
% 43.36/42.88  ncf('1.2.1.1.2',plain,[-(in(ordered_pair(256 ^ [424 ^ [], relation_field(424 ^ [])], 257 ^ [424 ^ [], relation_field(424 ^ [])]), 424 ^ []))],extension(267 ^ 12)).
% 43.36/42.88  ncf('1.2.1.2',plain,[-(relation(424 ^ []))],extension(426 ^ 7)).
% 43.36/42.88  ncf('1.2.2',plain,[-(relation(424 ^ []))],extension(426 ^ 4)).
% 43.36/42.88  %-----------------------------------------------------
% 43.36/42.88  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------