%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 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 11:56:14 EDT 2023

% Result   : Theorem 0.36s 1.38s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 19:00:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.36/1.38  
% 0.36/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  ncf(matrix, plain, [(500 ^ _69257) ^ [] : [-(ilf_type(498 ^ [], set_type))], (503 ^ _69257) ^ [] : [-(ilf_type(501 ^ [], set_type))], (506 ^ _69257) ^ [] : [-(ilf_type(504 ^ [], set_type))], (509 ^ _69257) ^ [] : [-(ilf_type(507 ^ [], relation_type(498 ^ [], 504 ^ [])))], (511 ^ _69257) ^ [] : [-(subset(498 ^ [], 501 ^ []))], (513 ^ _69257) ^ [] : [ilf_type(507 ^ [], relation_type(501 ^ [], 504 ^ []))], (82 ^ _69257) ^ [_71941, _71943] : [_71943 = _71941, -(domain_of(_71943) = domain_of(_71941))], (88 ^ _69257) ^ [_72159, _72161] : [_72161 = _72159, -(range_of(_72161) = range_of(_72159))], (94 ^ _69257) ^ [_72377, _72379] : [_72379 = _72377, -(power_set(_72379) = power_set(_72377))], (100 ^ _69257) ^ [_72595, _72597] : [_72597 = _72595, -(member_type(_72597) = member_type(_72595))], (106 ^ _69257) ^ [_72813, _72815] : [_72815 = _72813, -(subset_type(_72815) = subset_type(_72813))], (112 ^ _69257) ^ [_73059, _73061, _73063, _73065] : [-(cross_product(_73065, _73061) = cross_product(_73063, _73059)), _73065 = _73063, _73061 = _73059], (122 ^ _69257) ^ [_73418, _73420, _73422, _73424] : [-(ordered_pair(_73424, _73420) = ordered_pair(_73422, _73418)), _73424 = _73422, _73420 = _73418], (132 ^ _69257) ^ [_73757, _73759, _73761, _73763] : [-(relation_type(_73763, _73759) = relation_type(_73761, _73757)), _73763 = _73761, _73759 = _73757], (2 ^ _69257) ^ [_69401] : [-(_69401 = _69401)], (4 ^ _69257) ^ [_69508, _69510] : [_69510 = _69508, -(_69508 = _69510)], (10 ^ _69257) ^ [_69712, _69714, _69716] : [-(_69716 = _69712), _69716 = _69714, _69714 = _69712], (20 ^ _69257) ^ [_70053, _70055, _70057, _70059] : [-(member(_70057, _70053)), member(_70059, _70055), _70059 = _70057, _70055 = _70053], (34 ^ _69257) ^ [_70469, _70471] : [-(empty(_70469)), _70471 = _70469, empty(_70471)], (44 ^ _69257) ^ [_70764, _70766] : [-(relation_like(_70764)), _70766 = _70764, relation_like(_70766)], (54 ^ _69257) ^ [_71087, _71089, _71091, _71093] : [-(subset(_71091, _71087)), subset(_71093, _71089), _71093 = _71091, _71089 = _71087], (68 ^ _69257) ^ [_71511, _71513, _71515, _71517] : [-(ilf_type(_71515, _71511)), ilf_type(_71517, _71513), _71517 = _71515, _71513 = _71511], (142 ^ _69257) ^ [_74104] : [ilf_type(_74104, set_type), 145 ^ _69257 : [(146 ^ _69257) ^ [_74260] : [ilf_type(_74260, set_type), 149 ^ _69257 : [(150 ^ _69257) ^ [_74411] : [ilf_type(_74411, set_type), -(subset(_74104, _74411)), subset(_74104, _74260), subset(_74260, _74411)]]]]], (164 ^ _69257) ^ [_74813] : [ilf_type(_74813, set_type), 167 ^ _69257 : [(168 ^ _69257) ^ [_74970] : [ilf_type(_74970, set_type), 171 ^ _69257 : [(172 ^ _69257) ^ [_75122] : [ilf_type(_75122, relation_type(_74813, _74970)), 175 ^ _69257 : [(176 ^ _69257) ^ [] : [-(subset(domain_of(_75122), _74813))], (178 ^ _69257) ^ [] : [-(subset(range_of(_75122), _74970))]]]]]]], (180 ^ _69257) ^ [_75429] : [ilf_type(_75429, set_type), 183 ^ _69257 : [(184 ^ _69257) ^ [_75598] : [ilf_type(_75598, set_type), 187 ^ _69257 : [(188 ^ _69257) ^ [_75762] : [ilf_type(_75762, set_type), 191 ^ _69257 : [(192 ^ _69257) ^ [_75921] : [ilf_type(_75921, relation_type(_75429, _75762)), subset(domain_of(_75921), _75598), -(ilf_type(_75921, relation_type(_75598, _75762)))]]]]]]], (202 ^ _69257) ^ [_76263] : [ilf_type(_76263, set_type), 205 ^ _69257 : [(206 ^ _69257) ^ [_76440] : [ilf_type(_76440, set_type), 209 ^ _69257 : [(210 ^ _69257) ^ [_76632] : [ilf_type(_76632, subset_type(cross_product(_76263, _76440))), -(ilf_type(_76632, relation_type(_76263, _76440)))], (216 ^ _69257) ^ [_76834] : [ilf_type(_76834, relation_type(_76263, _76440)), -(ilf_type(_76834, subset_type(cross_product(_76263, _76440))))]]]]], (222 ^ _69257) ^ [_77068] : [ilf_type(_77068, set_type), 225 ^ _69257 : [(226 ^ _69257) ^ [_77209] : [ilf_type(_77209, set_type), -(ilf_type(229 ^ [_77068, _77209], relation_type(_77209, _77068)))]]], (233 ^ _69257) ^ [_77478] : [ilf_type(_77478, set_type), 236 ^ _69257 : [(237 ^ _69257) ^ [_77634] : [ilf_type(_77634, set_type), 240 ^ _69257 : [(255 ^ _69257) ^ [] : [257 ^ _69257 : [(258 ^ _69257) ^ [] : [-(ilf_type(256 ^ [_77478, _77634], set_type))], (260 ^ _69257) ^ [] : [-(member(256 ^ [_77478, _77634], _77478))], (262 ^ _69257) ^ [] : [member(256 ^ [_77478, _77634], _77634)]], -(subset(_77478, _77634))], (241 ^ _69257) ^ [] : [subset(_77478, _77634), 244 ^ _69257 : [(245 ^ _69257) ^ [_77893] : [ilf_type(_77893, set_type), member(_77893, _77478), -(member(_77893, _77634))]]]]]]], (266 ^ _69257) ^ [_78553] : [ilf_type(_78553, binary_relation_type), -(ilf_type(domain_of(_78553), set_type))], (272 ^ _69257) ^ [_78747] : [ilf_type(_78747, set_type), 275 ^ _69257 : [(276 ^ _69257) ^ [_78883] : [ilf_type(_78883, set_type), -(ilf_type(cross_product(_78747, _78883), set_type))]]], (282 ^ _69257) ^ [_79092] : [ilf_type(_79092, binary_relation_type), -(ilf_type(range_of(_79092), set_type))], (288 ^ _69257) ^ [_79286] : [ilf_type(_79286, set_type), 291 ^ _69257 : [(292 ^ _69257) ^ [_79431] : [ilf_type(_79431, set_type), 295 ^ _69257 : [(296 ^ _69257) ^ [] : [ilf_type(_79431, subset_type(_79286)), -(ilf_type(_79431, member_type(power_set(_79286))))], (302 ^ _69257) ^ [] : [ilf_type(_79431, member_type(power_set(_79286))), -(ilf_type(_79431, subset_type(_79286)))]]]]], (308 ^ _69257) ^ [_79902] : [ilf_type(_79902, set_type), -(ilf_type(311 ^ [_79902], subset_type(_79902)))], (315 ^ _69257) ^ [_80149] : [ilf_type(_80149, set_type), -(subset(_80149, _80149))], (321 ^ _69257) ^ [_80339] : [ilf_type(_80339, set_type), 324 ^ _69257 : [(325 ^ _69257) ^ [_80497] : [ilf_type(_80497, set_type), 328 ^ _69257 : [(343 ^ _69257) ^ [] : [345 ^ _69257 : [(346 ^ _69257) ^ [] : [-(ilf_type(344 ^ [_80339, _80497], set_type))], (348 ^ _69257) ^ [] : [-(member(344 ^ [_80339, _80497], _80339))], (350 ^ _69257) ^ [] : [member(344 ^ [_80339, _80497], _80497)]], -(member(_80339, power_set(_80497)))], (329 ^ _69257) ^ [] : [member(_80339, power_set(_80497)), 332 ^ _69257 : [(333 ^ _69257) ^ [_80760] : [ilf_type(_80760, set_type), member(_80760, _80339), -(member(_80760, _80497))]]]]]]], (354 ^ _69257) ^ [_81422] : [ilf_type(_81422, set_type), 357 ^ _69257 : [(358 ^ _69257) ^ [] : [empty(power_set(_81422))], (360 ^ _69257) ^ [] : [-(ilf_type(power_set(_81422), set_type))]]], (362 ^ _69257) ^ [_81692] : [ilf_type(_81692, set_type), 365 ^ _69257 : [(366 ^ _69257) ^ [_81840] : [-(empty(_81840)), ilf_type(_81840, set_type), 373 ^ _69257 : [(374 ^ _69257) ^ [] : [ilf_type(_81692, member_type(_81840)), -(member(_81692, _81840))], (380 ^ _69257) ^ [] : [member(_81692, _81840), -(ilf_type(_81692, member_type(_81840)))]]]]], (386 ^ _69257) ^ [_82391] : [-(ilf_type(393 ^ [_82391], member_type(_82391))), -(empty(_82391)), ilf_type(_82391, set_type)], (397 ^ _69257) ^ [_82724] : [ilf_type(_82724, set_type), 400 ^ _69257 : [(411 ^ _69257) ^ [] : [413 ^ _69257 : [(414 ^ _69257) ^ [] : [-(ilf_type(412 ^ [_82724], set_type))], (416 ^ _69257) ^ [] : [-(member(412 ^ [_82724], _82724))]], -(empty(_82724))], (401 ^ _69257) ^ [] : [empty(_82724), 404 ^ _69257 : [(405 ^ _69257) ^ [_82967] : [ilf_type(_82967, set_type), member(_82967, _82724)]]]]], (420 ^ _69257) ^ [_83427] : [ilf_type(_83427, set_type), 423 ^ _69257 : [(424 ^ _69257) ^ [] : [relation_like(_83427), 427 ^ _69257 : [(428 ^ _69257) ^ [_83699] : [ilf_type(_83699, set_type), member(_83699, _83427), 436 ^ _69257 : [(437 ^ _69257) ^ [] : [-(ilf_type(435 ^ [_83427, _83699], set_type))], (440 ^ _69257) ^ [] : [-(ilf_type(438 ^ [_83427, _83699], set_type))], (442 ^ _69257) ^ [] : [-(_83699 = ordered_pair(435 ^ [_83427, _83699], 438 ^ [_83427, _83699]))]]]]], (444 ^ _69257) ^ [] : [-(relation_like(_83427)), 446 ^ _69257 : [(447 ^ _69257) ^ [] : [-(ilf_type(445 ^ [_83427], set_type))], (449 ^ _69257) ^ [] : [-(member(445 ^ [_83427], _83427))], (451 ^ _69257) ^ [_84538] : [ilf_type(_84538, set_type), 454 ^ _69257 : [(455 ^ _69257) ^ [_84685] : [ilf_type(_84685, set_type), 445 ^ [_83427] = ordered_pair(_84538, _84685)]]]]]]], (463 ^ _69257) ^ [_84970] : [-(relation_like(_84970)), empty(_84970), ilf_type(_84970, set_type)], (497 ^ _69257) ^ [_86066] : [-(ilf_type(_86066, set_type))], (487 ^ _69257) ^ [_85756] : [ilf_type(_85756, set_type), 490 ^ _69257 : [(491 ^ _69257) ^ [_85892] : [ilf_type(_85892, set_type), -(ilf_type(ordered_pair(_85756, _85892), set_type))]]], (473 ^ _69257) ^ [_85241] : [ilf_type(_85241, set_type), 476 ^ _69257 : [(477 ^ _69257) ^ [_85389] : [ilf_type(_85389, set_type), 480 ^ _69257 : [(481 ^ _69257) ^ [_85532] : [ilf_type(_85532, subset_type(cross_product(_85241, _85389))), -(relation_like(_85532))]]]]]], input).
% 0.36/1.38  ncf('1',plain,[ilf_type(507 ^ [], relation_type(501 ^ [], 504 ^ []))],start(513 ^ 0)).
% 0.36/1.38  ncf('1.1',plain,[-(ilf_type(507 ^ [], relation_type(501 ^ [], 504 ^ []))), 192 : ilf_type(507 ^ [], relation_type(498 ^ [], 504 ^ [])), 192 : subset(domain_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([[_75429, _75598, _75762, _75921], [498 ^ [], 501 ^ [], 504 ^ [], 507 ^ []]]))).
% 0.36/1.38  ncf('1.1.1',plain,[-(ilf_type(507 ^ [], relation_type(498 ^ [], 504 ^ [])))],extension(509 ^ 8)).
% 0.36/1.38  ncf('1.1.2',plain,[-(subset(domain_of(507 ^ []), 501 ^ [])), 150 : ilf_type(501 ^ [], set_type), 150 : subset(domain_of(507 ^ []), 498 ^ []), 150 : subset(498 ^ [], 501 ^ []), 150 : ilf_type(498 ^ [], set_type), 146 : ilf_type(domain_of(507 ^ []), set_type)],extension(142 ^ 8,bind([[_74104, _74260, _74411], [domain_of(507 ^ []), 498 ^ [], 501 ^ []]]))).
% 0.36/1.38  ncf('1.1.2.1',plain,[-(ilf_type(501 ^ [], set_type))],extension(503 ^ 13)).
% 0.36/1.38  ncf('1.1.2.2',plain,[-(subset(domain_of(507 ^ []), 498 ^ [])), 172 : ilf_type(507 ^ [], relation_type(498 ^ [], 504 ^ [])), 172 : ilf_type(504 ^ [], set_type), 168 : ilf_type(498 ^ [], set_type)],extension(164 ^ 13,bind([[_74813, _74970, _75122], [498 ^ [], 504 ^ [], 507 ^ []]]))).
% 0.36/1.38  ncf('1.1.2.2.1',plain,[-(ilf_type(507 ^ [], relation_type(498 ^ [], 504 ^ [])))],extension(509 ^ 18)).
% 0.36/1.38  ncf('1.1.2.2.2',plain,[-(ilf_type(504 ^ [], set_type))],extension(506 ^ 16)).
% 0.36/1.38  ncf('1.1.2.2.3',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 14)).
% 0.36/1.38  ncf('1.1.2.3',plain,[-(subset(498 ^ [], 501 ^ []))],extension(511 ^ 13)).
% 0.36/1.38  ncf('1.1.2.4',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 11)).
% 0.36/1.38  ncf('1.1.2.5',plain,[-(ilf_type(domain_of(507 ^ []), set_type))],extension(497 ^ 9,bind([[_86066], [domain_of(507 ^ [])]]))).
% 0.36/1.38  ncf('1.1.3',plain,[-(ilf_type(504 ^ [], set_type))],extension(506 ^ 6)).
% 0.36/1.38  ncf('1.1.4',plain,[-(ilf_type(501 ^ [], set_type))],extension(503 ^ 4)).
% 0.36/1.38  ncf('1.1.5',plain,[-(ilf_type(498 ^ [], set_type))],extension(500 ^ 2)).
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------