%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:43 EDT 2023

% Result   : Theorem 43.50s 42.71s
% Output   : Proof 43.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n007.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 13:01:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.50/42.71  
% 43.50/42.71  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.50/42.71  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.50/42.71  %-----------------------------------------------------
% 43.50/42.71  ncf(matrix, plain, [(430 ^ _81600) ^ [] : [-(function(426 ^ []))], (432 ^ _81600) ^ [] : [-(one_to_one(426 ^ []))], (434 ^ _81600) ^ [] : [relation_rng(426 ^ []) = relation_dom(function_inverse(426 ^ [])), relation_dom(426 ^ []) = relation_rng(function_inverse(426 ^ []))], (428 ^ _81600) ^ [] : [-(relation(426 ^ []))], !, (271 ^ _67980) ^ [_76361] : [empty(_76361), 274 ^ _67980 : [(277 ^ _67980) ^ [] : [-(relation(relation_dom(_76361)))], (275 ^ _67980) ^ [] : [-(empty(relation_dom(_76361)))]]], (343 ^ _67980) ^ [] : [-(relation(341 ^ []))], (72 ^ _67980) ^ [_70355, _70357] : [-(empty(_70355)), _70357 = _70355, empty(_70357)], (340 ^ _67980) ^ [] : [-(one_to_one(334 ^ []))], (118 ^ _67980) ^ [_71753, _71755] : [_71755 = _71753, -(powerset(_71755) = powerset(_71753))], (229 ^ _67980) ^ [] : [-(empty(empty_set))], (287 ^ _67980) ^ [_76891] : [relation(_76891), -(relation_inverse(relation_inverse(_76891)) = _76891)], (296 ^ _67980) ^ [] : [-(function(292 ^ []))], (92 ^ _67980) ^ [_70945, _70947] : [-(function(_70945)), _70947 = _70945, function(_70947)], (318 ^ _67980) ^ [] : [-(empty(314 ^ []))], (316 ^ _67980) ^ [] : [-(relation(314 ^ []))], (279 ^ _67980) ^ [_76626] : [empty(_76626), 282 ^ _67980 : [(285 ^ _67980) ^ [] : [-(relation(relation_rng(_76626)))], (283 ^ _67980) ^ [] : [-(empty(relation_rng(_76626)))]]], (221 ^ _67980) ^ [] : [-(empty(empty_set))], (379 ^ _67980) ^ [_79910, _79912] : [subset(_79912, _79910), -(element(_79912, powerset(_79910)))], (20 ^ _67980) ^ [_68728, _68730] : [-(relation_empty_yielding(_68728)), _68730 = _68728, relation_empty_yielding(_68730)], (160 ^ _67980) ^ [_73192] : [171 ^ _67980 : [(176 ^ _67980) ^ [] : [-(one_to_one(_73192))], (174 ^ _67980) ^ [] : [-(function(_73192))], (172 ^ _67980) ^ [] : [-(relation(_73192))]], relation(_73192), empty(_73192), function(_73192)], (320 ^ _67980) ^ [] : [-(function(314 ^ []))], (211 ^ _67980) ^ [_74611] : [-(element(209 ^ [_74611], _74611))], (261 ^ _67980) ^ [_76084] : [empty(relation_rng(_76084)), -(empty(_76084)), relation(_76084)], (373 ^ _67980) ^ [_79744, _79746] : [element(_79746, powerset(_79744)), -(subset(_79746, _79744))], (333 ^ _67980) ^ [] : [empty(331 ^ [])], (225 ^ _67980) ^ [] : [-(relation_empty_yielding(empty_set))], (385 ^ _67980) ^ [_80140, _80142, _80144] : [-(element(_80144, _80140)), in(_80144, _80142), element(_80142, powerset(_80140))], (365 ^ _67980) ^ [_79416] : [relation(_79416), 368 ^ _67980 : [(371 ^ _67980) ^ [] : [-(relation_dom(_79416) = relation_rng(relation_inverse(_79416)))], (369 ^ _67980) ^ [] : [-(relation_rng(_79416) = relation_dom(relation_inverse(_79416)))]]], (349 ^ _67980) ^ [_78922, _78924] : [in(_78924, _78922), -(element(_78924, _78922))], (2 ^ _67980) ^ [_68104] : [-(_68104 = _68104)], (102 ^ _67980) ^ [_71220, _71222] : [-(one_to_one(_71220)), _71222 = _71220, one_to_one(_71222)], (313 ^ _67980) ^ [] : [-(empty(311 ^ []))], (338 ^ _67980) ^ [] : [-(function(334 ^ []))], (405 ^ _67980) ^ [_80763] : [empty(_80763), -(_80763 = empty_set)], (82 ^ _67980) ^ [_70650, _70652] : [-(relation(_70650)), _70652 = _70650, relation(_70652)], (330 ^ _67980) ^ [_78267] : [-(empty(326 ^ [_78267]))], (247 ^ _67980) ^ [] : [-(empty(empty_set))], (299 ^ _67980) ^ [] : [-(empty(297 ^ []))], (154 ^ _67980) ^ [_73006] : [empty(_73006), -(relation(_73006))], (130 ^ _67980) ^ [_72189, _72191] : [_72191 = _72189, -(relation_rng(_72191) = relation_rng(_72189))], (142 ^ _67980) ^ [_72623, _72625] : [in(_72625, _72623), in(_72623, _72625)], (204 ^ _67980) ^ [_74397] : [relation(_74397), -(relation(relation_inverse(_74397)))], (347 ^ _67980) ^ [_78813, _78815] : [-(subset(_78815, _78815))], (192 ^ _67980) ^ [_74049] : [199 ^ _67980 : [(202 ^ _67980) ^ [] : [-(function(function_inverse(_74049)))], (200 ^ _67980) ^ [] : [-(relation(function_inverse(_74049)))]], relation(_74049), function(_74049)], (58 ^ _67980) ^ [_69939, _69941, _69943, _69945] : [-(in(_69943, _69939)), in(_69945, _69941), _69945 = _69943, _69941 = _69939], (124 ^ _67980) ^ [_71971, _71973] : [_71973 = _71971, -(relation_dom(_71973) = relation_dom(_71971))], (411 ^ _67980) ^ [_80965, _80967] : [in(_80967, _80965), empty(_80965)], (30 ^ _67980) ^ [_69051, _69053, _69055, _69057] : [-(subset(_69055, _69051)), subset(_69057, _69053), _69057 = _69055, _69053 = _69051], (345 ^ _67980) ^ [] : [-(relation_empty_yielding(341 ^ []))], (10 ^ _67980) ^ [_68415, _68417, _68419] : [-(_68419 = _68415), _68419 = _68417, _68417 = _68415], (231 ^ _67980) ^ [_75268] : [242 ^ _67980 : [(245 ^ _67980) ^ [] : [-(function(relation_inverse(_75268)))], (243 ^ _67980) ^ [] : [-(relation(relation_inverse(_75268)))]], relation(_75268), function(_75268), one_to_one(_75268)], (249 ^ _67980) ^ [] : [-(relation(empty_set))], (4 ^ _67980) ^ [_68211, _68213] : [_68213 = _68211, -(_68211 = _68213)], (336 ^ _67980) ^ [] : [-(relation(334 ^ []))], (44 ^ _67980) ^ [_69495, _69497, _69499, _69501] : [-(element(_69499, _69495)), element(_69501, _69497), _69501 = _69499, _69497 = _69495], (178 ^ _67980) ^ [_73685] : [relation(_73685), function(_73685), one_to_one(_73685), -(function_inverse(_73685) = relation_inverse(_73685))], (355 ^ _67980) ^ [_79132, _79134] : [element(_79134, _79132), -(empty(_79132)), -(in(_79134, _79132))], (323 ^ _67980) ^ [] : [empty(321 ^ [])], (325 ^ _67980) ^ [] : [-(relation(321 ^ []))], (417 ^ _67980) ^ [_81152, _81154] : [empty(_81154), -(_81154 = _81152), empty(_81152)], (395 ^ _67980) ^ [_80467, _80469, _80471] : [in(_80471, _80469), element(_80469, powerset(_80467)), empty(_80467)], (148 ^ _67980) ^ [_72820] : [empty(_72820), -(function(_72820))], (227 ^ _67980) ^ [_75121] : [empty(powerset(_75121))], (213 ^ _67980) ^ [_74709] : [empty(_74709), 216 ^ _67980 : [(219 ^ _67980) ^ [] : [-(relation(relation_inverse(_74709)))], (217 ^ _67980) ^ [] : [-(empty(relation_inverse(_74709)))]]], (294 ^ _67980) ^ [] : [-(relation(292 ^ []))], (301 ^ _67980) ^ [] : [-(relation(297 ^ []))], (303 ^ _67980) ^ [_77385] : [-(empty(_77385)), 307 ^ _67980 : [(310 ^ _67980) ^ [] : [empty(306 ^ [_77385])], (308 ^ _67980) ^ [] : [-(element(306 ^ [_77385], powerset(_77385)))]]], (223 ^ _67980) ^ [] : [-(relation(empty_set))], (328 ^ _67980) ^ [_78216] : [-(element(326 ^ [_78216], powerset(_78216)))], (251 ^ _67980) ^ [_75807] : [empty(relation_dom(_75807)), -(empty(_75807)), relation(_75807)], (112 ^ _67980) ^ [_71535, _71537] : [_71537 = _71535, -(relation_inverse(_71537) = relation_inverse(_71535))], (136 ^ _67980) ^ [_72387, _72389] : [_72389 = _72387, -(function_inverse(_72389) = function_inverse(_72387))]], input).
% 43.50/42.71  ncf('1',plain,[relation_rng(426 ^ []) = relation_dom(function_inverse(426 ^ [])), relation_dom(426 ^ []) = relation_rng(function_inverse(426 ^ []))],start(434 ^ 0)).
% 43.50/42.71  ncf('1.1',plain,[-(relation_rng(426 ^ []) = relation_dom(function_inverse(426 ^ []))), relation_rng(426 ^ []) = relation_dom(relation_inverse(426 ^ [])), relation_dom(relation_inverse(426 ^ [])) = relation_dom(function_inverse(426 ^ []))],extension(10 ^ 1,bind([[_68415, _68417, _68419], [relation_dom(function_inverse(426 ^ [])), relation_dom(relation_inverse(426 ^ [])), relation_rng(426 ^ [])]]))).
% 43.50/42.71  ncf('1.1.1',plain,[-(relation_rng(426 ^ []) = relation_dom(relation_inverse(426 ^ []))), relation(426 ^ [])],extension(365 ^ 2,bind([[_79416], [426 ^ []]]))).
% 43.50/42.71  ncf('1.1.1.1',plain,[-(relation(426 ^ []))],extension(428 ^ 3)).
% 43.50/42.71  ncf('1.1.2',plain,[-(relation_dom(relation_inverse(426 ^ [])) = relation_dom(function_inverse(426 ^ []))), relation_inverse(426 ^ []) = function_inverse(426 ^ [])],extension(124 ^ 2,bind([[_71971, _71973], [function_inverse(426 ^ []), relation_inverse(426 ^ [])]]))).
% 43.50/42.71  ncf('1.1.2.1',plain,[-(relation_inverse(426 ^ []) = function_inverse(426 ^ [])), function_inverse(426 ^ []) = relation_inverse(426 ^ [])],extension(4 ^ 3,bind([[_68211, _68213], [relation_inverse(426 ^ []), function_inverse(426 ^ [])]]))).
% 43.50/42.71  ncf('1.1.2.1.1',plain,[-(function_inverse(426 ^ []) = relation_inverse(426 ^ [])), relation(426 ^ []), function(426 ^ []), one_to_one(426 ^ [])],extension(178 ^ 4,bind([[_73685], [426 ^ []]]))).
% 43.50/42.71  ncf('1.1.2.1.1.1',plain,[-(relation(426 ^ []))],extension(428 ^ 5)).
% 43.50/42.71  ncf('1.1.2.1.1.2',plain,[-(function(426 ^ []))],extension(430 ^ 5)).
% 43.50/42.71  ncf('1.1.2.1.1.3',plain,[-(one_to_one(426 ^ []))],extension(432 ^ 5)).
% 43.50/42.71  ncf('1.2',plain,[-(relation_dom(426 ^ []) = relation_rng(function_inverse(426 ^ []))), relation_dom(426 ^ []) = relation_rng(relation_inverse(426 ^ [])), relation_rng(relation_inverse(426 ^ [])) = relation_rng(function_inverse(426 ^ []))],extension(10 ^ 1,bind([[_68415, _68417, _68419], [relation_rng(function_inverse(426 ^ [])), relation_rng(relation_inverse(426 ^ [])), relation_dom(426 ^ [])]]))).
% 43.50/42.71  ncf('1.2.1',plain,[-(relation_dom(426 ^ []) = relation_rng(relation_inverse(426 ^ []))), relation(426 ^ [])],extension(365 ^ 2,bind([[_79416], [426 ^ []]]))).
% 43.50/42.71  ncf('1.2.1.1',plain,[-(relation(426 ^ []))],extension(428 ^ 3)).
% 43.50/42.71  ncf('1.2.2',plain,[-(relation_rng(relation_inverse(426 ^ [])) = relation_rng(function_inverse(426 ^ []))), relation_inverse(426 ^ []) = function_inverse(426 ^ [])],extension(130 ^ 2,bind([[_72189, _72191], [function_inverse(426 ^ []), relation_inverse(426 ^ [])]]))).
% 43.50/42.71  ncf('1.2.2.1',plain,[-(relation_inverse(426 ^ []) = function_inverse(426 ^ [])), function_inverse(426 ^ []) = relation_inverse(426 ^ [])],extension(4 ^ 3,bind([[_68211, _68213], [relation_inverse(426 ^ []), function_inverse(426 ^ [])]]))).
% 43.50/42.71  ncf('1.2.2.1.1',plain,[-(function_inverse(426 ^ []) = relation_inverse(426 ^ [])), relation(426 ^ []), function(426 ^ []), one_to_one(426 ^ [])],extension(178 ^ 4,bind([[_73685], [426 ^ []]]))).
% 43.50/42.71  ncf('1.2.2.1.1.1',plain,[-(relation(426 ^ []))],extension(428 ^ 5)).
% 43.50/42.71  ncf('1.2.2.1.1.2',plain,[-(function(426 ^ []))],extension(430 ^ 5)).
% 43.50/42.71  ncf('1.2.2.1.1.3',plain,[-(one_to_one(426 ^ []))],extension(432 ^ 5)).
% 43.50/42.71  %-----------------------------------------------------
% 43.50/42.71  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------