TSTP Solution File: SEU010+1 by nanoCoP---2.0

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% File     : nanoCoP---2.0
% Problem  : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:04 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 13:23:27 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(400 ^ _58904) ^ [] : [-(relation(398 ^ []))], (402 ^ _58904) ^ [] : [-(function(398 ^ []))], (404 ^ _58904) ^ [] : [relation_composition(identity_relation(relation_dom(398 ^ [])), 398 ^ []) = 398 ^ [], relation_composition(398 ^ [], identity_relation(relation_rng(398 ^ []))) = 398 ^ []], (102 ^ _58904) ^ [_62182, _62184] : [_62184 = _62182, -(powerset(_62184) = powerset(_62182))], (108 ^ _58904) ^ [_62400, _62402] : [_62402 = _62400, -(relation_dom(_62402) = relation_dom(_62400))], (114 ^ _58904) ^ [_62646, _62648, _62650, _62652] : [-(relation_composition(_62652, _62648) = relation_composition(_62650, _62646)), _62652 = _62650, _62648 = _62646], (124 ^ _58904) ^ [_62977, _62979] : [_62979 = _62977, -(identity_relation(_62979) = identity_relation(_62977))], (130 ^ _58904) ^ [_63175, _63177] : [_63177 = _63175, -(relation_rng(_63177) = relation_rng(_63175))], (2 ^ _58904) ^ [_59048] : [-(_59048 = _59048)], (4 ^ _58904) ^ [_59155, _59157] : [_59157 = _59155, -(_59155 = _59157)], (10 ^ _58904) ^ [_59359, _59361, _59363] : [-(_59363 = _59359), _59363 = _59361, _59361 = _59359], (20 ^ _58904) ^ [_59700, _59702, _59704, _59706] : [-(in(_59704, _59700)), in(_59706, _59702), _59706 = _59704, _59702 = _59700], (34 ^ _58904) ^ [_60116, _60118] : [-(relation_empty_yielding(_60116)), _60118 = _60116, relation_empty_yielding(_60118)], (44 ^ _58904) ^ [_60411, _60413] : [-(empty(_60411)), _60413 = _60411, empty(_60413)], (54 ^ _58904) ^ [_60734, _60736, _60738, _60740] : [-(element(_60738, _60734)), element(_60740, _60736), _60740 = _60738, _60736 = _60734], (68 ^ _58904) ^ [_61178, _61180, _61182, _61184] : [-(subset(_61182, _61178)), subset(_61184, _61180), _61184 = _61182, _61180 = _61178], (82 ^ _58904) ^ [_61594, _61596] : [-(relation(_61594)), _61596 = _61594, relation(_61596)], (92 ^ _58904) ^ [_61869, _61871] : [-(function(_61869)), _61871 = _61869, function(_61871)], (136 ^ _58904) ^ [_63411, _63413] : [in(_63413, _63411), in(_63411, _63413)], (142 ^ _58904) ^ [] : [-(empty(empty_set))], (144 ^ _58904) ^ [] : [-(relation(empty_set))], (146 ^ _58904) ^ [] : [-(empty(empty_set))], (148 ^ _58904) ^ [] : [-(relation(empty_set))], (150 ^ _58904) ^ [] : [-(relation_empty_yielding(empty_set))], (152 ^ _58904) ^ [] : [-(empty(empty_set))], (154 ^ _58904) ^ [_63946, _63948] : [in(_63948, _63946), -(element(_63948, _63946))], (160 ^ _58904) ^ [_64170, _64172, _64174] : [-(element(_64174, _64170)), in(_64174, _64172), element(_64172, powerset(_64170))], (170 ^ _58904) ^ [_64497, _64499, _64501] : [in(_64501, _64499), element(_64499, powerset(_64497)), empty(_64497)], (181 ^ _58904) ^ [_64817] : [-(element(179 ^ [_64817], _64817))], (183 ^ _58904) ^ [_64915] : [empty(_64915), -(function(_64915))], (189 ^ _58904) ^ [_65085] : [empty(powerset(_65085))], (191 ^ _58904) ^ [_65179] : [empty(relation_dom(_65179)), -(empty(_65179)), relation(_65179)], (201 ^ _58904) ^ [_65456] : [empty(relation_rng(_65456)), -(empty(_65456)), relation(_65456)], (211 ^ _58904) ^ [_65733] : [empty(_65733), 214 ^ _58904 : [(215 ^ _58904) ^ [] : [-(empty(relation_dom(_65733)))], (217 ^ _58904) ^ [] : [-(relation(relation_dom(_65733)))]]], (219 ^ _58904) ^ [_65998] : [empty(_65998), 222 ^ _58904 : [(223 ^ _58904) ^ [] : [-(empty(relation_rng(_65998)))], (225 ^ _58904) ^ [] : [-(relation(relation_rng(_65998)))]]], (227 ^ _58904) ^ [_66277, _66279] : [234 ^ _58904 : [(235 ^ _58904) ^ [] : [-(empty(relation_composition(_66279, _66277)))], (237 ^ _58904) ^ [] : [-(relation(relation_composition(_66279, _66277)))]], empty(_66279), relation(_66277)], (239 ^ _58904) ^ [_66655, _66657] : [246 ^ _58904 : [(247 ^ _58904) ^ [] : [-(empty(relation_composition(_66655, _66657)))], (249 ^ _58904) ^ [] : [-(relation(relation_composition(_66655, _66657)))]], empty(_66657), relation(_66655)], (251 ^ _58904) ^ [_67019] : [empty(_67019), -(relation(_67019))], (257 ^ _58904) ^ [_67219, _67221] : [element(_67221, _67219), -(empty(_67219)), -(in(_67221, _67219))], (267 ^ _58904) ^ [_67503] : [empty(_67503), -(_67503 = empty_set)], (273 ^ _58904) ^ [_67705, _67707] : [in(_67707, _67705), empty(_67705)], (279 ^ _58904) ^ [_67912, _67914] : [empty(_67914), -(_67914 = _67912), empty(_67912)], (289 ^ _58904) ^ [_68194, _68196] : [-(subset(_68196, _68196))], (291 ^ _58904) ^ [_68303, _68305] : [-(relation(relation_composition(_68305, _68303))), relation(_68305), relation(_68303)], (301 ^ _58904) ^ [_68573] : [-(relation(identity_relation(_68573)))], (303 ^ _58904) ^ [_68681, _68683] : [318 ^ _58904 : [(319 ^ _58904) ^ [] : [-(relation(relation_composition(_68683, _68681)))], (321 ^ _58904) ^ [] : [-(function(relation_composition(_68683, _68681)))]], relation(_68683), function(_68683), relation(_68681), function(_68681)], (323 ^ _58904) ^ [_69224] : [-(relation(identity_relation(_69224)))], (325 ^ _58904) ^ [_69269] : [-(function(identity_relation(_69269)))], (328 ^ _58904) ^ [] : [-(relation(326 ^ []))], (330 ^ _58904) ^ [] : [-(function(326 ^ []))], (332 ^ _58904) ^ [_69514] : [-(empty(_69514)), 336 ^ _58904 : [(337 ^ _58904) ^ [] : [-(element(335 ^ [_69514], powerset(_69514)))], (339 ^ _58904) ^ [] : [empty(335 ^ [_69514])]]], (342 ^ _58904) ^ [_69897] : [-(element(340 ^ [_69897], powerset(_69897)))], (344 ^ _58904) ^ [_69948] : [-(empty(340 ^ [_69948]))], (347 ^ _58904) ^ [] : [-(empty(345 ^ []))], (349 ^ _58904) ^ [] : [-(relation(345 ^ []))], (352 ^ _58904) ^ [] : [empty(350 ^ [])], (354 ^ _58904) ^ [] : [-(relation(350 ^ []))], (357 ^ _58904) ^ [] : [-(relation(355 ^ []))], (359 ^ _58904) ^ [] : [-(relation_empty_yielding(355 ^ []))], (362 ^ _58904) ^ [] : [-(empty(360 ^ []))], (365 ^ _58904) ^ [] : [empty(363 ^ [])], (367 ^ _58904) ^ [_70717, _70719] : [element(_70719, powerset(_70717)), -(subset(_70719, _70717))], (373 ^ _58904) ^ [_70883, _70885] : [subset(_70885, _70883), -(element(_70885, powerset(_70883)))], (379 ^ _58904) ^ [_71099, _71101] : [relation(_71099), subset(relation_dom(_71099), _71101), -(relation_composition(identity_relation(_71101), _71099) = _71099)], (389 ^ _58904) ^ [_71390, _71392] : [relation(_71390), subset(relation_rng(_71390), _71392), -(relation_composition(_71390, identity_relation(_71392)) = _71390)]], input).
% 0.34/1.37  ncf('1',plain,[relation_composition(identity_relation(relation_dom(398 ^ [])), 398 ^ []) = 398 ^ [], relation_composition(398 ^ [], identity_relation(relation_rng(398 ^ []))) = 398 ^ []],start(404 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(relation_composition(identity_relation(relation_dom(398 ^ [])), 398 ^ []) = 398 ^ []), relation(398 ^ []), subset(relation_dom(398 ^ []), relation_dom(398 ^ []))],extension(379 ^ 1,bind([[_71099, _71101], [398 ^ [], relation_dom(398 ^ [])]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(relation(398 ^ []))],extension(400 ^ 2)).
% 0.34/1.37  ncf('1.1.2',plain,[-(subset(relation_dom(398 ^ []), relation_dom(398 ^ [])))],extension(289 ^ 2,bind([[_68194, _68196], [_43077, relation_dom(398 ^ [])]]))).
% 0.34/1.37  ncf('1.2',plain,[-(relation_composition(398 ^ [], identity_relation(relation_rng(398 ^ []))) = 398 ^ []), relation(398 ^ []), subset(relation_rng(398 ^ []), relation_rng(398 ^ []))],extension(389 ^ 1,bind([[_71390, _71392], [398 ^ [], relation_rng(398 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1',plain,[-(relation(398 ^ []))],extension(400 ^ 2)).
% 0.34/1.37  ncf('1.2.2',plain,[-(subset(relation_rng(398 ^ []), relation_rng(398 ^ [])))],extension(289 ^ 2,bind([[_68194, _68196], [_43772, relation_rng(398 ^ [])]]))).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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