%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 11:56:14 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.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 18:46:17 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(500 ^ _69229) ^ [] : [-(ilf_type(498 ^ [], set_type))], (503 ^ _69229) ^ [] : [-(ilf_type(501 ^ [], set_type))], (506 ^ _69229) ^ [] : [-(ilf_type(504 ^ [], set_type))], (509 ^ _69229) ^ [] : [-(ilf_type(507 ^ [], relation_type(504 ^ [], 498 ^ [])))], (511 ^ _69229) ^ [] : [-(subset(498 ^ [], 501 ^ []))], (513 ^ _69229) ^ [] : [ilf_type(507 ^ [], relation_type(504 ^ [], 501 ^ []))], (82 ^ _69229) ^ [_71913, _71915] : [_71915 = _71913, -(domain_of(_71915) = domain_of(_71913))], (88 ^ _69229) ^ [_72131, _72133] : [_72133 = _72131, -(range_of(_72133) = range_of(_72131))], (94 ^ _69229) ^ [_72349, _72351] : [_72351 = _72349, -(power_set(_72351) = power_set(_72349))], (100 ^ _69229) ^ [_72567, _72569] : [_72569 = _72567, -(member_type(_72569) = member_type(_72567))], (106 ^ _69229) ^ [_72785, _72787] : [_72787 = _72785, -(subset_type(_72787) = subset_type(_72785))], (112 ^ _69229) ^ [_73031, _73033, _73035, _73037] : [-(cross_product(_73037, _73033) = cross_product(_73035, _73031)), _73037 = _73035, _73033 = _73031], (122 ^ _69229) ^ [_73390, _73392, _73394, _73396] : [-(ordered_pair(_73396, _73392) = ordered_pair(_73394, _73390)), _73396 = _73394, _73392 = _73390], (132 ^ _69229) ^ [_73729, _73731, _73733, _73735] : [-(relation_type(_73735, _73731) = relation_type(_73733, _73729)), _73735 = _73733, _73731 = _73729], (2 ^ _69229) ^ [_69373] : [-(_69373 = _69373)], (4 ^ _69229) ^ [_69480, _69482] : [_69482 = _69480, -(_69480 = _69482)], (10 ^ _69229) ^ [_69684, _69686, _69688] : [-(_69688 = _69684), _69688 = _69686, _69686 = _69684], (20 ^ _69229) ^ [_70025, _70027, _70029, _70031] : [-(member(_70029, _70025)), member(_70031, _70027), _70031 = _70029, _70027 = _70025], (34 ^ _69229) ^ [_70441, _70443] : [-(empty(_70441)), _70443 = _70441, empty(_70443)], (44 ^ _69229) ^ [_70736, _70738] : [-(relation_like(_70736)), _70738 = _70736, relation_like(_70738)], (54 ^ _69229) ^ [_71059, _71061, _71063, _71065] : [-(subset(_71063, _71059)), subset(_71065, _71061), _71065 = _71063, _71061 = _71059], (68 ^ _69229) ^ [_71483, _71485, _71487, _71489] : [-(ilf_type(_71487, _71483)), ilf_type(_71489, _71485), _71489 = _71487, _71485 = _71483], (142 ^ _69229) ^ [_74076] : [ilf_type(_74076, set_type), 145 ^ _69229 : [(146 ^ _69229) ^ [_74232] : [ilf_type(_74232, set_type), 149 ^ _69229 : [(150 ^ _69229) ^ [_74383] : [ilf_type(_74383, set_type), -(subset(_74076, _74383)), subset(_74076, _74232), subset(_74232, _74383)]]]]], (164 ^ _69229) ^ [_74785] : [ilf_type(_74785, set_type), 167 ^ _69229 : [(168 ^ _69229) ^ [_74942] : [ilf_type(_74942, set_type), 171 ^ _69229 : [(172 ^ _69229) ^ [_75094] : [ilf_type(_75094, relation_type(_74785, _74942)), 175 ^ _69229 : [(176 ^ _69229) ^ [] : [-(subset(domain_of(_75094), _74785))], (178 ^ _69229) ^ [] : [-(subset(range_of(_75094), _74942))]]]]]]], (180 ^ _69229) ^ [_75401] : [ilf_type(_75401, set_type), 183 ^ _69229 : [(184 ^ _69229) ^ [_75570] : [ilf_type(_75570, set_type), 187 ^ _69229 : [(188 ^ _69229) ^ [_75734] : [ilf_type(_75734, set_type), 191 ^ _69229 : [(192 ^ _69229) ^ [_75893] : [ilf_type(_75893, relation_type(_75734, _75401)), subset(range_of(_75893), _75570), -(ilf_type(_75893, relation_type(_75734, _75570)))]]]]]]], (202 ^ _69229) ^ [_76235] : [ilf_type(_76235, set_type), 205 ^ _69229 : [(206 ^ _69229) ^ [_76412] : [ilf_type(_76412, set_type), 209 ^ _69229 : [(210 ^ _69229) ^ [_76604] : [ilf_type(_76604, subset_type(cross_product(_76235, _76412))), -(ilf_type(_76604, relation_type(_76235, _76412)))], (216 ^ _69229) ^ [_76806] : [ilf_type(_76806, relation_type(_76235, _76412)), -(ilf_type(_76806, subset_type(cross_product(_76235, _76412))))]]]]], (222 ^ _69229) ^ [_77040] : [ilf_type(_77040, set_type), 225 ^ _69229 : [(226 ^ _69229) ^ [_77181] : [ilf_type(_77181, set_type), -(ilf_type(229 ^ [_77040, _77181], relation_type(_77181, _77040)))]]], (233 ^ _69229) ^ [_77450] : [ilf_type(_77450, set_type), 236 ^ _69229 : [(237 ^ _69229) ^ [_77606] : [ilf_type(_77606, set_type), 240 ^ _69229 : [(255 ^ _69229) ^ [] : [257 ^ _69229 : [(258 ^ _69229) ^ [] : [-(ilf_type(256 ^ [_77450, _77606], set_type))], (260 ^ _69229) ^ [] : [-(member(256 ^ [_77450, _77606], _77450))], (262 ^ _69229) ^ [] : [member(256 ^ [_77450, _77606], _77606)]], -(subset(_77450, _77606))], (241 ^ _69229) ^ [] : [subset(_77450, _77606), 244 ^ _69229 : [(245 ^ _69229) ^ [_77865] : [ilf_type(_77865, set_type), member(_77865, _77450), -(member(_77865, _77606))]]]]]]], (266 ^ _69229) ^ [_78525] : [ilf_type(_78525, binary_relation_type), -(ilf_type(domain_of(_78525), set_type))], (272 ^ _69229) ^ [_78719] : [ilf_type(_78719, set_type), 275 ^ _69229 : [(276 ^ _69229) ^ [_78855] : [ilf_type(_78855, set_type), -(ilf_type(cross_product(_78719, _78855), set_type))]]], (282 ^ _69229) ^ [_79064] : [ilf_type(_79064, binary_relation_type), -(ilf_type(range_of(_79064), set_type))], (288 ^ _69229) ^ [_79258] : [ilf_type(_79258, set_type), 291 ^ _69229 : [(292 ^ _69229) ^ [_79403] : [ilf_type(_79403, set_type), 295 ^ _69229 : [(296 ^ _69229) ^ [] : [ilf_type(_79403, subset_type(_79258)), -(ilf_type(_79403, member_type(power_set(_79258))))], (302 ^ _69229) ^ [] : [ilf_type(_79403, member_type(power_set(_79258))), -(ilf_type(_79403, subset_type(_79258)))]]]]], (308 ^ _69229) ^ [_79874] : [ilf_type(_79874, set_type), -(ilf_type(311 ^ [_79874], subset_type(_79874)))], (315 ^ _69229) ^ [_80121] : [ilf_type(_80121, set_type), -(subset(_80121, _80121))], (321 ^ _69229) ^ [_80311] : [ilf_type(_80311, set_type), 324 ^ _69229 : [(325 ^ _69229) ^ [_80469] : [ilf_type(_80469, set_type), 328 ^ _69229 : [(343 ^ _69229) ^ [] : [345 ^ _69229 : [(346 ^ _69229) ^ [] : [-(ilf_type(344 ^ [_80311, _80469], set_type))], (348 ^ _69229) ^ [] : [-(member(344 ^ [_80311, _80469], _80311))], (350 ^ _69229) ^ [] : [member(344 ^ [_80311, _80469], _80469)]], -(member(_80311, power_set(_80469)))], (329 ^ _69229) ^ [] : [member(_80311, power_set(_80469)), 332 ^ _69229 : [(333 ^ _69229) ^ [_80732] : [ilf_type(_80732, set_type), member(_80732, _80311), -(member(_80732, _80469))]]]]]]], (354 ^ _69229) ^ [_81394] : [ilf_type(_81394, set_type), 357 ^ _69229 : [(358 ^ _69229) ^ [] : [empty(power_set(_81394))], (360 ^ _69229) ^ [] : [-(ilf_type(power_set(_81394), set_type))]]], (362 ^ _69229) ^ [_81664] : [ilf_type(_81664, set_type), 365 ^ _69229 : [(366 ^ _69229) ^ [_81812] : [-(empty(_81812)), ilf_type(_81812, set_type), 373 ^ _69229 : [(374 ^ _69229) ^ [] : [ilf_type(_81664, member_type(_81812)), -(member(_81664, _81812))], (380 ^ _69229) ^ [] : [member(_81664, _81812), -(ilf_type(_81664, member_type(_81812)))]]]]], (386 ^ _69229) ^ [_82363] : [-(ilf_type(393 ^ [_82363], member_type(_82363))), -(empty(_82363)), ilf_type(_82363, set_type)], (397 ^ _69229) ^ [_82696] : [ilf_type(_82696, set_type), 400 ^ _69229 : [(411 ^ _69229) ^ [] : [413 ^ _69229 : [(414 ^ _69229) ^ [] : [-(ilf_type(412 ^ [_82696], set_type))], (416 ^ _69229) ^ [] : [-(member(412 ^ [_82696], _82696))]], -(empty(_82696))], (401 ^ _69229) ^ [] : [empty(_82696), 404 ^ _69229 : [(405 ^ _69229) ^ [_82939] : [ilf_type(_82939, set_type), member(_82939, _82696)]]]]], (420 ^ _69229) ^ [_83399] : [ilf_type(_83399, set_type), 423 ^ _69229 : [(424 ^ _69229) ^ [] : [relation_like(_83399), 427 ^ _69229 : [(428 ^ _69229) ^ [_83671] : [ilf_type(_83671, set_type), member(_83671, _83399), 436 ^ _69229 : [(437 ^ _69229) ^ [] : [-(ilf_type(435 ^ [_83399, _83671], set_type))], (440 ^ _69229) ^ [] : [-(ilf_type(438 ^ [_83399, _83671], set_type))], (442 ^ _69229) ^ [] : [-(_83671 = ordered_pair(435 ^ [_83399, _83671], 438 ^ [_83399, _83671]))]]]]], (444 ^ _69229) ^ [] : [-(relation_like(_83399)), 446 ^ _69229 : [(447 ^ _69229) ^ [] : [-(ilf_type(445 ^ [_83399], set_type))], (449 ^ _69229) ^ [] : [-(member(445 ^ [_83399], _83399))], (451 ^ _69229) ^ [_84510] : [ilf_type(_84510, set_type), 454 ^ _69229 : [(455 ^ _69229) ^ [_84657] : [ilf_type(_84657, set_type), 445 ^ [_83399] = ordered_pair(_84510, _84657)]]]]]]], (463 ^ _69229) ^ [_84942] : [-(relation_like(_84942)), empty(_84942), ilf_type(_84942, set_type)], (497 ^ _69229) ^ [_86038] : [-(ilf_type(_86038, set_type))], (487 ^ _69229) ^ [_85728] : [ilf_type(_85728, set_type), 490 ^ _69229 : [(491 ^ _69229) ^ [_85864] : [ilf_type(_85864, set_type), -(ilf_type(ordered_pair(_85728, _85864), set_type))]]], (473 ^ _69229) ^ [_85213] : [ilf_type(_85213, set_type), 476 ^ _69229 : [(477 ^ _69229) ^ [_85361] : [ilf_type(_85361, set_type), 480 ^ _69229 : [(481 ^ _69229) ^ [_85504] : [ilf_type(_85504, subset_type(cross_product(_85213, _85361))), -(relation_like(_85504))]]]]]], input).
% 0.32/1.37  ncf('1',plain,[ilf_type(507 ^ [], relation_type(504 ^ [], 501 ^ []))],start(513 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(ilf_type(507 ^ [], relation_type(504 ^ [], 501 ^ []))), 192 : ilf_type(507 ^ [], relation_type(504 ^ [], 498 ^ [])), 192 : subset(range_of(507 ^ []), 501 ^ []), 192 : ilf_type(504 ^ [], set_type), 188 : ilf_type(501 ^ [], set_type), 184 : ilf_type(498 ^ [], set_type)],extension(180 ^ 1,bind([[_75401, _75570, _75734, _75893], [498 ^ [], 501 ^ [], 504 ^ [], 507 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(ilf_type(507 ^ [], relation_type(504 ^ [], 498 ^ [])))],extension(509 ^ 8)).
% 0.32/1.37  ncf('1.1.2',plain,[-(subset(range_of(507 ^ []), 501 ^ [])), 150 : ilf_type(501 ^ [], set_type), 150 : subset(range_of(507 ^ []), 498 ^ []), 150 : subset(498 ^ [], 501 ^ []), 150 : ilf_type(498 ^ [], set_type), 146 : ilf_type(range_of(507 ^ []), set_type)],extension(142 ^ 8,bind([[_74076, _74232, _74383], [range_of(507 ^ []), 498 ^ [], 501 ^ []]]))).
% 0.32/1.37  ncf('1.1.2.1',plain,[-(ilf_type(501 ^ [], set_type))],extension(503 ^ 13)).
% 0.32/1.37  ncf('1.1.2.2',plain,[-(subset(range_of(507 ^ []), 498 ^ [])), 172 : ilf_type(507 ^ [], relation_type(504 ^ [], 498 ^ [])), 172 : ilf_type(498 ^ [], set_type), 168 : ilf_type(504 ^ [], set_type)],extension(164 ^ 13,bind([[_74785, _74942, _75094], [504 ^ [], 498 ^ [], 507 ^ []]]))).
% 0.32/1.37  ncf('1.1.2.2.1',plain,[-(ilf_type(507 ^ [], relation_type(504 ^ [], 498 ^ [])))],extension(509 ^ 18)).
% 0.32/1.37  ncf('1.1.2.2.2',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 16)).
% 0.32/1.37  ncf('1.1.2.2.3',plain,[-(ilf_type(504 ^ [], set_type))],extension(506 ^ 14)).
% 0.32/1.37  ncf('1.1.2.3',plain,[-(subset(498 ^ [], 501 ^ []))],extension(511 ^ 13)).
% 0.32/1.37  ncf('1.1.2.4',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 11)).
% 0.32/1.37  ncf('1.1.2.5',plain,[-(ilf_type(range_of(507 ^ []), set_type))],extension(497 ^ 9,bind([[_86038], [range_of(507 ^ [])]]))).
% 0.32/1.37  ncf('1.1.3',plain,[-(ilf_type(504 ^ [], set_type))],extension(506 ^ 6)).
% 0.32/1.37  ncf('1.1.4',plain,[-(ilf_type(501 ^ [], set_type))],extension(503 ^ 4)).
% 0.32/1.37  ncf('1.1.5',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 2)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------