%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU183+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 43.73s 42.74s
% Output   : Proof 43.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n007.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 13:23:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 43.73/42.74  
% 43.73/42.74  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.73/42.74  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.73/42.74  %-----------------------------------------------------
% 43.73/42.74  ncf(matrix, plain, [(422 ^ _78891) ^ [] : [subset(relation_rng(relation_composition(415 ^ [], 418 ^ [])), relation_rng(418 ^ []))], (420 ^ _78891) ^ [] : [-(relation(418 ^ []))], (417 ^ _78891) ^ [] : [-(relation(415 ^ []))], !, (2 ^ _64473) ^ [_64597] : [-(_64597 = _64597)], (108 ^ _64473) ^ [_68073, _68075] : [_68075 = _68073, -(powerset(_68075) = powerset(_68073))], (337 ^ _64473) ^ [_76189] : [-(element(335 ^ [_76189], powerset(_76189)))], (309 ^ _64473) ^ [_75153] : [empty(powerset(_75153))], (322 ^ _64473) ^ [] : [-(relation(318 ^ []))], (400 ^ _64473) ^ [_78295, _78297] : [in(_78297, _78295), empty(_78295)], (20 ^ _64473) ^ [_65249, _65251, _65253, _65255] : [-(element(_65253, _65249)), element(_65255, _65251), _65255 = _65253, _65251 = _65249], (307 ^ _64473) ^ [_75071] : [-(element(305 ^ [_75071], _75071))], (300 ^ _64473) ^ [] : [true___, -(true___)], (138 ^ _64473) ^ [_69210, _69212] : [subset(_69212, _69210), 141 ^ _64473 : [(142 ^ _64473) ^ [_69347] : [in(_69347, _69212), -(in(_69347, _69210))]]], (344 ^ _64473) ^ [_76428, _76430] : [-(subset(_76430, _76430))], (352 ^ _64473) ^ [_76747, _76749] : [element(_76749, _76747), -(empty(_76747)), -(in(_76749, _76747))], (342 ^ _64473) ^ [] : [empty(340 ^ [])], (317 ^ _64473) ^ [_75471, _75473] : [empty(unordered_pair(_75473, _75471))], (313 ^ _64473) ^ [_75298, _75300] : [empty(ordered_pair(_75300, _75298))], (34 ^ _64473) ^ [_65693, _65695, _65697, _65699] : [-(in(_65697, _65693)), in(_65699, _65695), _65699 = _65697, _65695 = _65693], (394 ^ _64473) ^ [_78093] : [empty(_78093), -(_78093 = empty_set)], (266 ^ _64473) ^ [] : [true___, -(true___)], (320 ^ _64473) ^ [] : [-(empty(318 ^ []))], (272 ^ _64473) ^ [] : [true___, -(true___)], (374 ^ _64473) ^ [_77470, _77472, _77474] : [-(element(_77474, _77470)), in(_77474, _77472), element(_77472, powerset(_77470))], (362 ^ _64473) ^ [_77074, _77076] : [element(_77076, powerset(_77074)), -(subset(_77076, _77074))], (48 ^ _64473) ^ [_66109, _66111] : [-(empty(_66109)), _66111 = _66109, empty(_66111)], (148 ^ _64473) ^ [_69524, _69526] : [150 ^ _64473 : [(153 ^ _64473) ^ [] : [in(149 ^ [_69524, _69526], _69524)], (151 ^ _64473) ^ [] : [-(in(149 ^ [_69524, _69526], _69526))]], -(subset(_69526, _69524))], (284 ^ _64473) ^ [] : [true___, -(true___)], (136 ^ _64473) ^ [_69066, _69068] : [-(unordered_pair(_69068, _69066) = unordered_pair(_69066, _69068))], (290 ^ _64473) ^ [_74643, _74645] : [-(relation(relation_composition(_74645, _74643))), relation(_74645), relation(_74643)], (114 ^ _64473) ^ [_68319, _68321, _68323, _68325] : [-(relation_composition(_68325, _68321) = relation_composition(_68323, _68319)), _68325 = _68323, _68321 = _68319], (324 ^ _64473) ^ [_75717] : [-(empty(_75717)), 328 ^ _64473 : [(331 ^ _64473) ^ [] : [empty(327 ^ [_75717])], (329 ^ _64473) ^ [] : [-(element(327 ^ [_75717], powerset(_75717)))]]], (346 ^ _64473) ^ [_76537, _76539] : [in(_76539, _76537), -(element(_76539, _76537))], (315 ^ _64473) ^ [_75379] : [empty(singleton(_75379))], (311 ^ _64473) ^ [] : [-(empty(empty_set))], (334 ^ _64473) ^ [] : [-(empty(332 ^ []))], (130 ^ _64473) ^ [_68870, _68872] : [in(_68872, _68870), in(_68870, _68872)], (10 ^ _64473) ^ [_64908, _64910, _64912] : [-(_64912 = _64908), _64912 = _64910, _64910 = _64908], (339 ^ _64473) ^ [_76240] : [-(empty(335 ^ [_76240]))], (82 ^ _64473) ^ [_67165, _67167, _67169, _67171] : [-(ordered_pair(_67171, _67167) = ordered_pair(_67169, _67165)), _67171 = _67169, _67167 = _67165], (368 ^ _64473) ^ [_77240, _77242] : [subset(_77242, _77240), -(element(_77242, powerset(_77240)))], (157 ^ _64473) ^ [_69867] : [relation(_69867), 160 ^ _64473 : [(161 ^ _64473) ^ [_70048] : [_70048 = relation_rng(_69867), 164 ^ _64473 : [(172 ^ _64473) ^ [_70472] : [173 ^ _64473 : [(174 ^ _64473) ^ [_70551] : [in(ordered_pair(_70551, _70472), _69867)]], -(in(_70472, _70048))], (165 ^ _64473) ^ [_70228] : [in(_70228, _70048), -(in(ordered_pair(168 ^ [_69867, _70048, _70228], _70228), _69867))]]], (178 ^ _64473) ^ [_70679] : [-(_70679 = relation_rng(_69867)), 182 ^ _64473 : [(185 ^ _64473) ^ [_70942] : [in(ordered_pair(_70942, 179 ^ [_69867, _70679]), _69867)], (183 ^ _64473) ^ [] : [-(in(179 ^ [_69867, _70679], _70679))]], 187 ^ _64473 : [(190 ^ _64473) ^ [] : [in(179 ^ [_69867, _70679], _70679)], (188 ^ _64473) ^ [] : [-(in(ordered_pair(186 ^ [_69867, _70679], 179 ^ [_69867, _70679]), _69867))]]]]], (254 ^ _64473) ^ [] : [true___, -(true___)], (98 ^ _64473) ^ [_67742, _67744, _67746, _67748] : [-(unordered_pair(_67748, _67744) = unordered_pair(_67746, _67742)), _67748 = _67746, _67744 = _67742], (196 ^ _64473) ^ [_71413] : [relation(_71413), 199 ^ _64473 : [(200 ^ _64473) ^ [_71598] : [relation(_71598), 203 ^ _64473 : [(204 ^ _64473) ^ [_71779] : [relation(_71779), 207 ^ _64473 : [(208 ^ _64473) ^ [] : [_71779 = relation_composition(_71413, _71598), 211 ^ _64473 : [(221 ^ _64473) ^ [_72499, _72501] : [-(in(ordered_pair(_72501, _72499), _71779)), 222 ^ _64473 : [(223 ^ _64473) ^ [_72612] : [in(ordered_pair(_72501, _72612), _71413), in(ordered_pair(_72612, _72499), _71598)]]], (212 ^ _64473) ^ [_72114, _72116] : [in(ordered_pair(_72116, _72114), _71779), 216 ^ _64473 : [(219 ^ _64473) ^ [] : [-(in(ordered_pair(215 ^ [_71413, _71598, _71779, _72114, _72116], _72114), _71598))], (217 ^ _64473) ^ [] : [-(in(ordered_pair(_72116, 215 ^ [_71413, _71598, _71779, _72114, _72116]), _71413))]]]]], (231 ^ _64473) ^ [] : [-(_71779 = relation_composition(_71413, _71598)), 245 ^ _64473 : [(250 ^ _64473) ^ [] : [in(ordered_pair(232 ^ [_71413, _71598, _71779], 233 ^ [_71413, _71598, _71779]), _71779)], (248 ^ _64473) ^ [] : [-(in(ordered_pair(244 ^ [_71413, _71598, _71779], 233 ^ [_71413, _71598, _71779]), _71598))], (246 ^ _64473) ^ [] : [-(in(ordered_pair(232 ^ [_71413, _71598, _71779], 244 ^ [_71413, _71598, _71779]), _71413))]], 236 ^ _64473 : [(239 ^ _64473) ^ [_73243] : [in(ordered_pair(232 ^ [_71413, _71598, _71779], _73243), _71413), in(ordered_pair(_73243, 233 ^ [_71413, _71598, _71779]), _71598)], (237 ^ _64473) ^ [] : [-(in(ordered_pair(232 ^ [_71413, _71598, _71779], 233 ^ [_71413, _71598, _71779]), _71779))]]]]]]]]], (194 ^ _64473) ^ [_71307, _71309] : [-(ordered_pair(_71309, _71307) = unordered_pair(unordered_pair(_71309, _71307), singleton(_71309)))], (4 ^ _64473) ^ [_64704, _64706] : [_64706 = _64704, -(_64704 = _64706)], (92 ^ _64473) ^ [_67496, _67498] : [_67498 = _67496, -(singleton(_67498) = singleton(_67496))], (406 ^ _64473) ^ [_78482, _78484] : [empty(_78484), -(_78484 = _78482), empty(_78482)], (384 ^ _64473) ^ [_77797, _77799, _77801] : [in(_77801, _77799), element(_77799, powerset(_77797)), empty(_77797)], (68 ^ _64473) ^ [_66707, _66709, _66711, _66713] : [-(subset(_66711, _66707)), subset(_66713, _66709), _66713 = _66711, _66709 = _66707], (278 ^ _64473) ^ [] : [true___, -(true___)], (260 ^ _64473) ^ [] : [true___, -(true___)], (124 ^ _64473) ^ [_68630, _68632] : [_68632 = _68630, -(relation_rng(_68632) = relation_rng(_68630))], (58 ^ _64473) ^ [_66404, _66406] : [-(relation(_66404)), _66406 = _66404, relation(_66406)]], input).
% 43.73/42.74  ncf('1',plain,[-(relation(418 ^ []))],start(420 ^ 0)).
% 43.73/42.74  ncf('1.1',plain,[relation(418 ^ []), 161 : relation_rng(418 ^ []) = relation_rng(418 ^ []), 174 : in(ordered_pair(215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]], 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]), 418 ^ []), 174 : -(in(149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], relation_rng(418 ^ [])))],extension(157 ^ 1,bind([[_69867, _70048, _70472, _70551], [418 ^ [], relation_rng(418 ^ []), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], 215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]]]]))).
% 43.73/42.74  ncf('1.1.1',plain,[-(relation_rng(418 ^ []) = relation_rng(418 ^ []))],extension(2 ^ 4,bind([[_64597], [relation_rng(418 ^ [])]]))).
% 43.73/42.74  ncf('1.1.2',plain,[-(in(ordered_pair(215 ^ [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]], 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]), 418 ^ [])), 212 : in(ordered_pair(168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_rng(418 ^ []), relation_rng(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([[_71413, _71598, _71779, _72114, _72116], [415 ^ [], 418 ^ [], relation_composition(415 ^ [], 418 ^ []), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], 168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]]]))).
% 43.73/42.74  ncf('1.1.2.1',plain,[-(in(ordered_pair(168 ^ [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]], 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]), relation_composition(415 ^ [], 418 ^ []))), 165 : in(149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], relation_rng(relation_composition(415 ^ [], 418 ^ []))), 165 : relation_rng(relation_composition(415 ^ [], 418 ^ [])) = relation_rng(relation_composition(415 ^ [], 418 ^ [])), 161 : relation(relation_composition(415 ^ [], 418 ^ []))],extension(157 ^ 17,bind([[_69867, _70048, _70228], [relation_composition(415 ^ [], 418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ [])), 149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]]))).
% 43.73/42.74  ncf('1.1.2.1.1',plain,[-(in(149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], relation_rng(relation_composition(415 ^ [], 418 ^ [])))), -(subset(relation_rng(relation_composition(415 ^ [], 418 ^ [])), relation_rng(418 ^ [])))],extension(148 ^ 22,bind([[_69524, _69526], [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]))).
% 43.73/42.74  ncf('1.1.2.1.1.1',plain,[subset(relation_rng(relation_composition(415 ^ [], 418 ^ [])), relation_rng(418 ^ []))],extension(422 ^ 23)).
% 43.73/42.74  ncf('1.1.2.1.2',plain,[-(relation_rng(relation_composition(415 ^ [], 418 ^ [])) = relation_rng(relation_composition(415 ^ [], 418 ^ [])))],extension(2 ^ 20,bind([[_64597], [relation_rng(relation_composition(415 ^ [], 418 ^ []))]]))).
% 43.73/42.74  ncf('1.1.2.1.3',plain,[-(relation(relation_composition(415 ^ [], 418 ^ []))), relation(415 ^ []), relation(418 ^ [])],extension(290 ^ 18,bind([[_74643, _74645], [418 ^ [], 415 ^ []]]))).
% 43.73/42.74  ncf('1.1.2.1.3.1',plain,[-(relation(415 ^ []))],extension(417 ^ 19)).
% 43.73/42.74  ncf('1.1.2.1.3.2',plain,[-(relation(418 ^ []))],reduction('1')).
% 43.73/42.74  ncf('1.1.2.2',plain,[-(relation_composition(415 ^ [], 418 ^ []) = relation_composition(415 ^ [], 418 ^ []))],extension(2 ^ 15,bind([[_64597], [relation_composition(415 ^ [], 418 ^ [])]]))).
% 43.73/42.74  ncf('1.1.2.3',plain,[-(relation(relation_composition(415 ^ [], 418 ^ []))), relation(415 ^ []), relation(418 ^ [])],extension(290 ^ 13,bind([[_74643, _74645], [418 ^ [], 415 ^ []]]))).
% 43.73/42.74  ncf('1.1.2.3.1',plain,[-(relation(415 ^ []))],extension(417 ^ 14)).
% 43.73/42.74  ncf('1.1.2.3.2',plain,[-(relation(418 ^ []))],reduction('1')).
% 43.73/42.74  ncf('1.1.2.4',plain,[-(relation(418 ^ []))],reduction('1')).
% 43.73/42.74  ncf('1.1.2.5',plain,[-(relation(415 ^ []))],extension(417 ^ 9)).
% 43.73/42.74  ncf('1.1.3',plain,[in(149 ^ [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))], relation_rng(418 ^ [])), -(subset(relation_rng(relation_composition(415 ^ [], 418 ^ [])), relation_rng(418 ^ [])))],extension(148 ^ 6,bind([[_69524, _69526], [relation_rng(418 ^ []), relation_rng(relation_composition(415 ^ [], 418 ^ []))]]))).
% 43.73/42.74  ncf('1.1.3.1',plain,[subset(relation_rng(relation_composition(415 ^ [], 418 ^ [])), relation_rng(418 ^ []))],extension(422 ^ 7)).
% 43.73/42.74  %-----------------------------------------------------
% 43.73/42.74  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------