%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU182+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 12:02:33 EDT 2023

% Result   : Theorem 44.85s 43.75s
% Output   : Proof 44.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU182+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 12:53:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 44.85/43.75  
% 44.85/43.75  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.85/43.75  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.85/43.75  %-----------------------------------------------------
% 44.85/43.75  ncf(matrix, plain, [(422 ^ _78904) ^ [] : [subset(relation_dom(relation_composition(415 ^ [], 418 ^ [])), relation_dom(415 ^ []))], (420 ^ _78904) ^ [] : [-(relation(418 ^ []))], (417 ^ _78904) ^ [] : [-(relation(415 ^ []))], !, (2 ^ _64486) ^ [_64610] : [-(_64610 = _64610)], (108 ^ _64486) ^ [_68086, _68088] : [_68088 = _68086, -(powerset(_68088) = powerset(_68086))], (337 ^ _64486) ^ [_76202] : [-(element(335 ^ [_76202], powerset(_76202)))], (309 ^ _64486) ^ [_75166] : [empty(powerset(_75166))], (322 ^ _64486) ^ [] : [-(relation(318 ^ []))], (400 ^ _64486) ^ [_78308, _78310] : [in(_78310, _78308), empty(_78308)], (20 ^ _64486) ^ [_65262, _65264, _65266, _65268] : [-(element(_65266, _65262)), element(_65268, _65264), _65268 = _65266, _65264 = _65262], (307 ^ _64486) ^ [_75084] : [-(element(305 ^ [_75084], _75084))], (300 ^ _64486) ^ [] : [true___, -(true___)], (138 ^ _64486) ^ [_69223, _69225] : [subset(_69225, _69223), 141 ^ _64486 : [(142 ^ _64486) ^ [_69360] : [in(_69360, _69225), -(in(_69360, _69223))]]], (344 ^ _64486) ^ [_76441, _76443] : [-(subset(_76443, _76443))], (352 ^ _64486) ^ [_76760, _76762] : [element(_76762, _76760), -(empty(_76760)), -(in(_76762, _76760))], (342 ^ _64486) ^ [] : [empty(340 ^ [])], (317 ^ _64486) ^ [_75484, _75486] : [empty(unordered_pair(_75486, _75484))], (313 ^ _64486) ^ [_75311, _75313] : [empty(ordered_pair(_75313, _75311))], (34 ^ _64486) ^ [_65706, _65708, _65710, _65712] : [-(in(_65710, _65706)), in(_65712, _65708), _65712 = _65710, _65708 = _65706], (394 ^ _64486) ^ [_78106] : [empty(_78106), -(_78106 = empty_set)], (266 ^ _64486) ^ [] : [true___, -(true___)], (320 ^ _64486) ^ [] : [-(empty(318 ^ []))], (272 ^ _64486) ^ [] : [true___, -(true___)], (374 ^ _64486) ^ [_77483, _77485, _77487] : [-(element(_77487, _77483)), in(_77487, _77485), element(_77485, powerset(_77483))], (362 ^ _64486) ^ [_77087, _77089] : [element(_77089, powerset(_77087)), -(subset(_77089, _77087))], (48 ^ _64486) ^ [_66122, _66124] : [-(empty(_66122)), _66124 = _66122, empty(_66124)], (148 ^ _64486) ^ [_69537, _69539] : [150 ^ _64486 : [(153 ^ _64486) ^ [] : [in(149 ^ [_69537, _69539], _69537)], (151 ^ _64486) ^ [] : [-(in(149 ^ [_69537, _69539], _69539))]], -(subset(_69539, _69537))], (284 ^ _64486) ^ [] : [true___, -(true___)], (136 ^ _64486) ^ [_69079, _69081] : [-(unordered_pair(_69081, _69079) = unordered_pair(_69079, _69081))], (290 ^ _64486) ^ [_74656, _74658] : [-(relation(relation_composition(_74658, _74656))), relation(_74658), relation(_74656)], (114 ^ _64486) ^ [_68332, _68334, _68336, _68338] : [-(relation_composition(_68338, _68334) = relation_composition(_68336, _68332)), _68338 = _68336, _68334 = _68332], (324 ^ _64486) ^ [_75730] : [-(empty(_75730)), 328 ^ _64486 : [(331 ^ _64486) ^ [] : [empty(327 ^ [_75730])], (329 ^ _64486) ^ [] : [-(element(327 ^ [_75730], powerset(_75730)))]]], (346 ^ _64486) ^ [_76550, _76552] : [in(_76552, _76550), -(element(_76552, _76550))], (315 ^ _64486) ^ [_75392] : [empty(singleton(_75392))], (311 ^ _64486) ^ [] : [-(empty(empty_set))], (334 ^ _64486) ^ [] : [-(empty(332 ^ []))], (130 ^ _64486) ^ [_68883, _68885] : [in(_68885, _68883), in(_68883, _68885)], (10 ^ _64486) ^ [_64921, _64923, _64925] : [-(_64925 = _64921), _64925 = _64923, _64923 = _64921], (339 ^ _64486) ^ [_76253] : [-(empty(335 ^ [_76253]))], (82 ^ _64486) ^ [_67178, _67180, _67182, _67184] : [-(ordered_pair(_67184, _67180) = ordered_pair(_67182, _67178)), _67184 = _67182, _67180 = _67178], (368 ^ _64486) ^ [_77253, _77255] : [subset(_77255, _77253), -(element(_77255, powerset(_77253)))], (157 ^ _64486) ^ [_69880] : [relation(_69880), 160 ^ _64486 : [(161 ^ _64486) ^ [_70061] : [_70061 = relation_dom(_69880), 164 ^ _64486 : [(172 ^ _64486) ^ [_70485] : [173 ^ _64486 : [(174 ^ _64486) ^ [_70564] : [in(ordered_pair(_70485, _70564), _69880)]], -(in(_70485, _70061))], (165 ^ _64486) ^ [_70241] : [in(_70241, _70061), -(in(ordered_pair(_70241, 168 ^ [_69880, _70061, _70241]), _69880))]]], (178 ^ _64486) ^ [_70692] : [-(_70692 = relation_dom(_69880)), 182 ^ _64486 : [(185 ^ _64486) ^ [_70955] : [in(ordered_pair(179 ^ [_69880, _70692], _70955), _69880)], (183 ^ _64486) ^ [] : [-(in(179 ^ [_69880, _70692], _70692))]], 187 ^ _64486 : [(190 ^ _64486) ^ [] : [in(179 ^ [_69880, _70692], _70692)], (188 ^ _64486) ^ [] : [-(in(ordered_pair(179 ^ [_69880, _70692], 186 ^ [_69880, _70692]), _69880))]]]]], (254 ^ _64486) ^ [] : [true___, -(true___)], (98 ^ _64486) ^ [_67755, _67757, _67759, _67761] : [-(unordered_pair(_67761, _67757) = unordered_pair(_67759, _67755)), _67761 = _67759, _67757 = _67755], (196 ^ _64486) ^ [_71426] : [relation(_71426), 199 ^ _64486 : [(200 ^ _64486) ^ [_71611] : [relation(_71611), 203 ^ _64486 : [(204 ^ _64486) ^ [_71792] : [relation(_71792), 207 ^ _64486 : [(208 ^ _64486) ^ [] : [_71792 = relation_composition(_71426, _71611), 211 ^ _64486 : [(221 ^ _64486) ^ [_72512, _72514] : [-(in(ordered_pair(_72514, _72512), _71792)), 222 ^ _64486 : [(223 ^ _64486) ^ [_72625] : [in(ordered_pair(_72514, _72625), _71426), in(ordered_pair(_72625, _72512), _71611)]]], (212 ^ _64486) ^ [_72127, _72129] : [in(ordered_pair(_72129, _72127), _71792), 216 ^ _64486 : [(219 ^ _64486) ^ [] : [-(in(ordered_pair(215 ^ [_71426, _71611, _71792, _72127, _72129], _72127), _71611))], (217 ^ _64486) ^ [] : [-(in(ordered_pair(_72129, 215 ^ [_71426, _71611, _71792, _72127, _72129]), _71426))]]]]], (231 ^ _64486) ^ [] : [-(_71792 = relation_composition(_71426, _71611)), 245 ^ _64486 : [(250 ^ _64486) ^ [] : [in(ordered_pair(232 ^ [_71426, _71611, _71792], 233 ^ [_71426, _71611, _71792]), _71792)], (248 ^ _64486) ^ [] : [-(in(ordered_pair(244 ^ [_71426, _71611, _71792], 233 ^ [_71426, _71611, _71792]), _71611))], (246 ^ _64486) ^ [] : [-(in(ordered_pair(232 ^ [_71426, _71611, _71792], 244 ^ [_71426, _71611, _71792]), _71426))]], 236 ^ _64486 : [(239 ^ _64486) ^ [_73256] : [in(ordered_pair(232 ^ [_71426, _71611, _71792], _73256), _71426), in(ordered_pair(_73256, 233 ^ [_71426, _71611, _71792]), _71611)], (237 ^ _64486) ^ [] : [-(in(ordered_pair(232 ^ [_71426, _71611, _71792], 233 ^ [_71426, _71611, _71792]), _71792))]]]]]]]]], (194 ^ _64486) ^ [_71320, _71322] : [-(ordered_pair(_71322, _71320) = unordered_pair(unordered_pair(_71322, _71320), singleton(_71322)))], (4 ^ _64486) ^ [_64717, _64719] : [_64719 = _64717, -(_64717 = _64719)], (92 ^ _64486) ^ [_67509, _67511] : [_67511 = _67509, -(singleton(_67511) = singleton(_67509))], (406 ^ _64486) ^ [_78495, _78497] : [empty(_78497), -(_78497 = _78495), empty(_78495)], (384 ^ _64486) ^ [_77810, _77812, _77814] : [in(_77814, _77812), element(_77812, powerset(_77810)), empty(_77810)], (68 ^ _64486) ^ [_66720, _66722, _66724, _66726] : [-(subset(_66724, _66720)), subset(_66726, _66722), _66726 = _66724, _66722 = _66720], (278 ^ _64486) ^ [] : [true___, -(true___)], (260 ^ _64486) ^ [] : [true___, -(true___)], (124 ^ _64486) ^ [_68643, _68645] : [_68645 = _68643, -(relation_dom(_68645) = relation_dom(_68643))], (58 ^ _64486) ^ [_66417, _66419] : [-(relation(_66417)), _66419 = _66417, relation(_66419)]], input).
% 44.85/43.75  ncf('1',plain,[-(relation(415 ^ []))],start(417 ^ 0)).
% 44.85/43.75  ncf('1.1',plain,[relation(415 ^ []), 161 : relation_dom(415 ^ []) = relation_dom(415 ^ []), 174 : in(ordered_pair(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], 215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]), 415 ^ []), 174 : -(in(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], relation_dom(415 ^ [])))],extension(157 ^ 1,bind([[_69880, _70061, _70485, _70564], [415 ^ [], relation_dom(415 ^ []), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], 215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]]]))).
% 44.85/43.75  ncf('1.1.1',plain,[-(relation_dom(415 ^ []) = relation_dom(415 ^ []))],extension(2 ^ 4,bind([[_64610], [relation_dom(415 ^ [])]]))).
% 44.85/43.75  ncf('1.1.2',plain,[-(in(ordered_pair(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], 215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]), 415 ^ [])), 212 : in(ordered_pair(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]), relation_composition(415 ^ [], 418 ^ [])), 212 : relation_composition(415 ^ [], 418 ^ []) = relation_composition(415 ^ [], 418 ^ []), 208 : relation(relation_composition(415 ^ [], 418 ^ [])), 204 : relation(418 ^ []), 200 : relation(415 ^ [])],extension(196 ^ 8,bind([[_71426, _71611, _71792, _72127, _72129], [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]]))).
% 44.85/43.75  ncf('1.1.2.1',plain,[-(in(ordered_pair(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]), relation_composition(415 ^ [], 418 ^ []))), 165 : in(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], relation_dom(relation_composition(415 ^ [], 418 ^ []))), 165 : relation_dom(relation_composition(415 ^ [], 418 ^ [])) = relation_dom(relation_composition(415 ^ [], 418 ^ [])), 161 : relation(relation_composition(415 ^ [], 418 ^ []))],extension(157 ^ 17,bind([[_69880, _70061, _70241], [relation_composition(415 ^ [], 418 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]]))).
% 44.85/43.75  ncf('1.1.2.1.1',plain,[-(in(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], relation_dom(relation_composition(415 ^ [], 418 ^ [])))), -(subset(relation_dom(relation_composition(415 ^ [], 418 ^ [])), relation_dom(415 ^ [])))],extension(148 ^ 22,bind([[_69537, _69539], [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]))).
% 44.85/43.75  ncf('1.1.2.1.1.1',plain,[subset(relation_dom(relation_composition(415 ^ [], 418 ^ [])), relation_dom(415 ^ []))],extension(422 ^ 23)).
% 44.85/43.75  ncf('1.1.2.1.2',plain,[-(relation_dom(relation_composition(415 ^ [], 418 ^ [])) = relation_dom(relation_composition(415 ^ [], 418 ^ [])))],extension(2 ^ 20,bind([[_64610], [relation_dom(relation_composition(415 ^ [], 418 ^ []))]]))).
% 44.85/43.75  ncf('1.1.2.1.3',plain,[-(relation(relation_composition(415 ^ [], 418 ^ []))), relation(415 ^ []), relation(418 ^ [])],extension(290 ^ 18,bind([[_74656, _74658], [418 ^ [], 415 ^ []]]))).
% 44.85/43.75  ncf('1.1.2.1.3.1',plain,[-(relation(415 ^ []))],reduction('1')).
% 44.85/43.75  ncf('1.1.2.1.3.2',plain,[-(relation(418 ^ []))],extension(420 ^ 19)).
% 44.85/43.75  ncf('1.1.2.2',plain,[-(relation_composition(415 ^ [], 418 ^ []) = relation_composition(415 ^ [], 418 ^ []))],extension(2 ^ 15,bind([[_64610], [relation_composition(415 ^ [], 418 ^ [])]]))).
% 44.85/43.75  ncf('1.1.2.3',plain,[-(relation(relation_composition(415 ^ [], 418 ^ []))), relation(415 ^ []), relation(418 ^ [])],extension(290 ^ 13,bind([[_74656, _74658], [418 ^ [], 415 ^ []]]))).
% 44.85/43.75  ncf('1.1.2.3.1',plain,[-(relation(415 ^ []))],reduction('1')).
% 44.85/43.75  ncf('1.1.2.3.2',plain,[-(relation(418 ^ []))],extension(420 ^ 14)).
% 44.85/43.75  ncf('1.1.2.4',plain,[-(relation(418 ^ []))],extension(420 ^ 11)).
% 44.85/43.75  ncf('1.1.2.5',plain,[-(relation(415 ^ []))],reduction('1')).
% 44.85/43.75  ncf('1.1.3',plain,[in(149 ^ [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))], relation_dom(415 ^ [])), -(subset(relation_dom(relation_composition(415 ^ [], 418 ^ [])), relation_dom(415 ^ [])))],extension(148 ^ 6,bind([[_69537, _69539], [relation_dom(415 ^ []), relation_dom(relation_composition(415 ^ [], 418 ^ []))]]))).
% 44.85/43.75  ncf('1.1.3.1',plain,[subset(relation_dom(relation_composition(415 ^ [], 418 ^ [])), relation_dom(415 ^ []))],extension(422 ^ 7)).
% 44.85/43.75  %-----------------------------------------------------
% 44.85/43.75  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------