%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:56:16 EDT 2023

% Result   : Theorem 0.33s 1.40s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 19:20:05 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.33/1.40  
% 0.33/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40  %-----------------------------------------------------
% 0.33/1.40  ncf(matrix, plain, [(456 ^ _59495) ^ [] : [-(ilf_type(454 ^ [], set_type))], (458 ^ _59495) ^ [] : [ilf_type(cross_product(454 ^ [], 454 ^ []), identity_relation_of_type(454 ^ []))], (68 ^ _59495) ^ [_61761, _61763, _61765, _61767] : [-(relation_type(_61767, _61763) = relation_type(_61765, _61761)), _61767 = _61765, _61763 = _61761], (78 ^ _59495) ^ [_62092, _62094] : [_62094 = _62092, -(power_set(_62094) = power_set(_62092))], (84 ^ _59495) ^ [_62310, _62312] : [_62312 = _62310, -(member_type(_62312) = member_type(_62310))], (90 ^ _59495) ^ [_62556, _62558, _62560, _62562] : [-(ordered_pair(_62562, _62558) = ordered_pair(_62560, _62556)), _62562 = _62560, _62558 = _62556], (100 ^ _59495) ^ [_62887, _62889] : [_62889 = _62887, -(subset_type(_62889) = subset_type(_62887))], (116 ^ _59495) ^ [_63444, _63446] : [_63446 = _63444, -(identity_relation_of_type(_63446) = identity_relation_of_type(_63444))], (106 ^ _59495) ^ [_63133, _63135, _63137, _63139] : [-(cross_product(_63139, _63135) = cross_product(_63137, _63133)), _63139 = _63137, _63135 = _63133], (2 ^ _59495) ^ [_59639] : [-(_59639 = _59639)], (4 ^ _59495) ^ [_59746, _59748] : [_59748 = _59746, -(_59746 = _59748)], (10 ^ _59495) ^ [_59950, _59952, _59954] : [-(_59954 = _59950), _59954 = _59952, _59952 = _59950], (20 ^ _59495) ^ [_60291, _60293, _60295, _60297] : [-(member(_60295, _60291)), member(_60297, _60293), _60297 = _60295, _60293 = _60291], (34 ^ _59495) ^ [_60707, _60709] : [-(empty(_60707)), _60709 = _60707, empty(_60709)], (44 ^ _59495) ^ [_61002, _61004] : [-(relation_like(_61002)), _61004 = _61002, relation_like(_61004)], (54 ^ _59495) ^ [_61305, _61307, _61309, _61311] : [-(ilf_type(_61309, _61305)), ilf_type(_61311, _61307), _61311 = _61309, _61307 = _61305], (122 ^ _59495) ^ [_63674] : [ilf_type(_63674, set_type), 125 ^ _59495 : [(126 ^ _59495) ^ [_63813] : [ilf_type(_63813, set_type), -(ilf_type(cross_product(_63674, _63813), relation_type(_63674, _63813)))]]], (132 ^ _59495) ^ [_64028] : [ilf_type(_64028, set_type), 135 ^ _59495 : [(136 ^ _59495) ^ [_64218] : [ilf_type(_64218, set_type), 139 ^ _59495 : [(140 ^ _59495) ^ [_64403] : [ilf_type(_64403, set_type), 143 ^ _59495 : [(144 ^ _59495) ^ [] : [member(_64403, cross_product(_64028, _64218)), 148 ^ _59495 : [(149 ^ _59495) ^ [] : [-(ilf_type(147 ^ [_64028, _64218, _64403], set_type))], (152 ^ _59495) ^ [] : [-(ilf_type(150 ^ [_64028, _64218, _64403], set_type))], (154 ^ _59495) ^ [] : [-(member(147 ^ [_64028, _64218, _64403], _64028))], (156 ^ _59495) ^ [] : [-(member(150 ^ [_64028, _64218, _64403], _64218))], (158 ^ _59495) ^ [] : [-(_64403 = ordered_pair(147 ^ [_64028, _64218, _64403], 150 ^ [_64028, _64218, _64403]))]]], (160 ^ _59495) ^ [] : [-(member(_64403, cross_product(_64028, _64218))), 161 ^ _59495 : [(162 ^ _59495) ^ [_65293] : [ilf_type(_65293, set_type), 165 ^ _59495 : [(166 ^ _59495) ^ [_65459] : [ilf_type(_65459, set_type), member(_65293, _64028), member(_65459, _64218), _64403 = ordered_pair(_65293, _65459)]]]]]]]]]]], (182 ^ _59495) ^ [_65966] : [ilf_type(_65966, set_type), 185 ^ _59495 : [(186 ^ _59495) ^ [_66102] : [ilf_type(_66102, set_type), -(ilf_type(cross_product(_65966, _66102), set_type))]]], (192 ^ _59495) ^ [_66311] : [ilf_type(_66311, set_type), 195 ^ _59495 : [(196 ^ _59495) ^ [_66455] : [ilf_type(_66455, set_type), 199 ^ _59495 : [(200 ^ _59495) ^ [] : [ilf_type(_66455, identity_relation_of_type(_66311)), -(ilf_type(_66455, relation_type(_66311, _66311)))], (206 ^ _59495) ^ [] : [ilf_type(_66455, relation_type(_66311, _66311)), -(ilf_type(_66455, identity_relation_of_type(_66311)))]]]]], (212 ^ _59495) ^ [_66923] : [ilf_type(_66923, set_type), -(ilf_type(215 ^ [_66923], identity_relation_of_type(_66923)))], (219 ^ _59495) ^ [_67170] : [ilf_type(_67170, set_type), 222 ^ _59495 : [(223 ^ _59495) ^ [_67306] : [ilf_type(_67306, set_type), -(ilf_type(ordered_pair(_67170, _67306), set_type))]]], (229 ^ _59495) ^ [_67515] : [ilf_type(_67515, set_type), 232 ^ _59495 : [(233 ^ _59495) ^ [_67692] : [ilf_type(_67692, set_type), 236 ^ _59495 : [(237 ^ _59495) ^ [_67884] : [ilf_type(_67884, subset_type(cross_product(_67515, _67692))), -(ilf_type(_67884, relation_type(_67515, _67692)))], (243 ^ _59495) ^ [_68086] : [ilf_type(_68086, relation_type(_67515, _67692)), -(ilf_type(_68086, subset_type(cross_product(_67515, _67692))))]]]]], (249 ^ _59495) ^ [_68320] : [ilf_type(_68320, set_type), 252 ^ _59495 : [(253 ^ _59495) ^ [_68461] : [ilf_type(_68461, set_type), -(ilf_type(256 ^ [_68320, _68461], relation_type(_68461, _68320)))]]], (260 ^ _59495) ^ [_68730] : [ilf_type(_68730, set_type), 263 ^ _59495 : [(264 ^ _59495) ^ [_68875] : [ilf_type(_68875, set_type), 267 ^ _59495 : [(268 ^ _59495) ^ [] : [ilf_type(_68875, subset_type(_68730)), -(ilf_type(_68875, member_type(power_set(_68730))))], (274 ^ _59495) ^ [] : [ilf_type(_68875, member_type(power_set(_68730))), -(ilf_type(_68875, subset_type(_68730)))]]]]], (280 ^ _59495) ^ [_69346] : [ilf_type(_69346, set_type), -(ilf_type(283 ^ [_69346], subset_type(_69346)))], (287 ^ _59495) ^ [_69593] : [ilf_type(_69593, set_type), 290 ^ _59495 : [(291 ^ _59495) ^ [_69751] : [ilf_type(_69751, set_type), 294 ^ _59495 : [(309 ^ _59495) ^ [] : [311 ^ _59495 : [(312 ^ _59495) ^ [] : [-(ilf_type(310 ^ [_69593, _69751], set_type))], (314 ^ _59495) ^ [] : [-(member(310 ^ [_69593, _69751], _69593))], (316 ^ _59495) ^ [] : [member(310 ^ [_69593, _69751], _69751)]], -(member(_69593, power_set(_69751)))], (295 ^ _59495) ^ [] : [member(_69593, power_set(_69751)), 298 ^ _59495 : [(299 ^ _59495) ^ [_70014] : [ilf_type(_70014, set_type), member(_70014, _69593), -(member(_70014, _69751))]]]]]]], (320 ^ _59495) ^ [_70676] : [ilf_type(_70676, set_type), 323 ^ _59495 : [(324 ^ _59495) ^ [] : [empty(power_set(_70676))], (326 ^ _59495) ^ [] : [-(ilf_type(power_set(_70676), set_type))]]], (328 ^ _59495) ^ [_70946] : [ilf_type(_70946, set_type), 331 ^ _59495 : [(332 ^ _59495) ^ [_71094] : [-(empty(_71094)), ilf_type(_71094, set_type), 339 ^ _59495 : [(340 ^ _59495) ^ [] : [ilf_type(_70946, member_type(_71094)), -(member(_70946, _71094))], (346 ^ _59495) ^ [] : [member(_70946, _71094), -(ilf_type(_70946, member_type(_71094)))]]]]], (352 ^ _59495) ^ [_71645] : [-(ilf_type(359 ^ [_71645], member_type(_71645))), -(empty(_71645)), ilf_type(_71645, set_type)], (363 ^ _59495) ^ [_71978] : [ilf_type(_71978, set_type), 366 ^ _59495 : [(377 ^ _59495) ^ [] : [379 ^ _59495 : [(380 ^ _59495) ^ [] : [-(ilf_type(378 ^ [_71978], set_type))], (382 ^ _59495) ^ [] : [-(member(378 ^ [_71978], _71978))]], -(empty(_71978))], (367 ^ _59495) ^ [] : [empty(_71978), 370 ^ _59495 : [(371 ^ _59495) ^ [_72221] : [ilf_type(_72221, set_type), member(_72221, _71978)]]]]], (429 ^ _59495) ^ [_74224] : [-(relation_like(_74224)), empty(_74224), ilf_type(_74224, set_type)], (453 ^ _59495) ^ [_74975] : [-(ilf_type(_74975, set_type))], (439 ^ _59495) ^ [_74495] : [ilf_type(_74495, set_type), 442 ^ _59495 : [(443 ^ _59495) ^ [_74643] : [ilf_type(_74643, set_type), 446 ^ _59495 : [(447 ^ _59495) ^ [_74786] : [ilf_type(_74786, subset_type(cross_product(_74495, _74643))), -(relation_like(_74786))]]]]], (386 ^ _59495) ^ [_72681] : [ilf_type(_72681, set_type), 389 ^ _59495 : [(390 ^ _59495) ^ [] : [relation_like(_72681), 393 ^ _59495 : [(394 ^ _59495) ^ [_72953] : [ilf_type(_72953, set_type), member(_72953, _72681), 402 ^ _59495 : [(403 ^ _59495) ^ [] : [-(ilf_type(401 ^ [_72681, _72953], set_type))], (406 ^ _59495) ^ [] : [-(ilf_type(404 ^ [_72681, _72953], set_type))], (408 ^ _59495) ^ [] : [-(_72953 = ordered_pair(401 ^ [_72681, _72953], 404 ^ [_72681, _72953]))]]]]], (410 ^ _59495) ^ [] : [-(relation_like(_72681)), 412 ^ _59495 : [(413 ^ _59495) ^ [] : [-(ilf_type(411 ^ [_72681], set_type))], (415 ^ _59495) ^ [] : [-(member(411 ^ [_72681], _72681))], (417 ^ _59495) ^ [_73792] : [ilf_type(_73792, set_type), 420 ^ _59495 : [(421 ^ _59495) ^ [_73939] : [ilf_type(_73939, set_type), 411 ^ [_72681] = ordered_pair(_73792, _73939)]]]]]]]], input).
% 0.33/1.40  ncf('1',plain,[ilf_type(cross_product(454 ^ [], 454 ^ []), identity_relation_of_type(454 ^ []))],start(458 ^ 0)).
% 0.33/1.40  ncf('1.1',plain,[-(ilf_type(cross_product(454 ^ [], 454 ^ []), identity_relation_of_type(454 ^ []))), 206 : ilf_type(cross_product(454 ^ [], 454 ^ []), relation_type(454 ^ [], 454 ^ [])), 206 : ilf_type(cross_product(454 ^ [], 454 ^ []), set_type), 196 : ilf_type(454 ^ [], set_type)],extension(192 ^ 1,bind([[_66311, _66455], [454 ^ [], cross_product(454 ^ [], 454 ^ [])]]))).
% 0.33/1.40  ncf('1.1.1',plain,[-(ilf_type(cross_product(454 ^ [], 454 ^ []), relation_type(454 ^ [], 454 ^ []))), 126 : ilf_type(454 ^ [], set_type), 126 : ilf_type(454 ^ [], set_type)],extension(122 ^ 6,bind([[_63674, _63813], [454 ^ [], 454 ^ []]]))).
% 0.33/1.40  ncf('1.1.1.1',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 9)).
% 0.33/1.40  ncf('1.1.1.2',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 7)).
% 0.33/1.40  ncf('1.1.2',plain,[-(ilf_type(cross_product(454 ^ [], 454 ^ []), set_type)), 186 : ilf_type(454 ^ [], set_type), 186 : ilf_type(454 ^ [], set_type)],extension(182 ^ 4,bind([[_65966, _66102], [454 ^ [], 454 ^ []]]))).
% 0.33/1.40  ncf('1.1.2.1',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 7)).
% 0.33/1.40  ncf('1.1.2.2',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 5)).
% 0.33/1.40  ncf('1.1.3',plain,[-(ilf_type(454 ^ [], set_type))],extension(456 ^ 2)).
% 0.33/1.40  %-----------------------------------------------------
% 0.33/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------