%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET649+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 137.98s 133.68s
% Output   : Proof 137.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET649+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 19:00:57 EDT 2023
% 0.19/0.33  % CPUTime  : 
% 137.98/133.68  
% 137.98/133.68  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 137.98/133.68  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.98/133.68  %-----------------------------------------------------
% 137.98/133.68  ncf(matrix, plain, [(573 ^ _89566) ^ [] : [-(ilf_type(571 ^ [], set_type))], (576 ^ _89566) ^ [] : [-(ilf_type(574 ^ [], set_type))], (579 ^ _89566) ^ [] : [-(ilf_type(577 ^ [], binary_relation_type))], (581 ^ _89566) ^ [] : [-(subset(domain_of(577 ^ []), 571 ^ []))], (583 ^ _89566) ^ [] : [-(subset(range_of(577 ^ []), 574 ^ []))], (585 ^ _89566) ^ [] : [ilf_type(577 ^ [], relation_type(571 ^ [], 574 ^ []))], (82 ^ _89566) ^ [_92278, _92280, _92282, _92284] : [-(ordered_pair(_92284, _92280) = ordered_pair(_92282, _92278)), _92284 = _92282, _92280 = _92278], (92 ^ _89566) ^ [_92609, _92611] : [_92611 = _92609, -(subset_type(_92611) = subset_type(_92609))], (98 ^ _89566) ^ [_92855, _92857, _92859, _92861] : [-(cross_product(_92861, _92857) = cross_product(_92859, _92855)), _92861 = _92859, _92857 = _92855], (108 ^ _89566) ^ [_93186, _93188] : [_93188 = _93186, -(power_set(_93188) = power_set(_93186))], (114 ^ _89566) ^ [_93404, _93406] : [_93406 = _93404, -(member_type(_93406) = member_type(_93404))], (120 ^ _89566) ^ [_93622, _93624] : [_93624 = _93622, -(domain_of(_93624) = domain_of(_93622))], (126 ^ _89566) ^ [_93840, _93842] : [_93842 = _93840, -(range_of(_93842) = range_of(_93840))], (132 ^ _89566) ^ [_94066, _94068, _94070, _94072] : [-(relation_type(_94072, _94068) = relation_type(_94070, _94066)), _94072 = _94070, _94068 = _94066], (2 ^ _89566) ^ [_89710] : [-(_89710 = _89710)], (4 ^ _89566) ^ [_89817, _89819] : [_89819 = _89817, -(_89817 = _89819)], (10 ^ _89566) ^ [_90021, _90023, _90025] : [-(_90025 = _90021), _90025 = _90023, _90023 = _90021], (20 ^ _89566) ^ [_90362, _90364, _90366, _90368] : [-(member(_90366, _90362)), member(_90368, _90364), _90368 = _90366, _90364 = _90362], (34 ^ _89566) ^ [_90778, _90780] : [-(empty(_90778)), _90780 = _90778, empty(_90780)], (44 ^ _89566) ^ [_91073, _91075] : [-(relation_like(_91073)), _91075 = _91073, relation_like(_91075)], (54 ^ _89566) ^ [_91396, _91398, _91400, _91402] : [-(subset(_91400, _91396)), subset(_91402, _91398), _91402 = _91400, _91398 = _91396], (68 ^ _89566) ^ [_91820, _91822, _91824, _91826] : [-(ilf_type(_91824, _91820)), ilf_type(_91826, _91822), _91826 = _91824, _91822 = _91820], (142 ^ _89566) ^ [_94413] : [ilf_type(_94413, set_type), 145 ^ _89566 : [(146 ^ _89566) ^ [_94569] : [ilf_type(_94569, set_type), 149 ^ _89566 : [(150 ^ _89566) ^ [_94720] : [ilf_type(_94720, set_type), -(subset(_94413, _94720)), subset(_94413, _94569), subset(_94569, _94720)]]]]], (164 ^ _89566) ^ [_95122] : [ilf_type(_95122, binary_relation_type), -(subset(_95122, cross_product(domain_of(_95122), range_of(_95122))))], (170 ^ _89566) ^ [_95326] : [ilf_type(_95326, set_type), 173 ^ _89566 : [(174 ^ _89566) ^ [_95499] : [ilf_type(_95499, set_type), 177 ^ _89566 : [(178 ^ _89566) ^ [_95667] : [ilf_type(_95667, set_type), 181 ^ _89566 : [(182 ^ _89566) ^ [_95830] : [ilf_type(_95830, set_type), -(subset(cross_product(_95326, _95667), cross_product(_95499, _95830))), subset(_95326, _95499), subset(_95667, _95830)]]]]]]], (196 ^ _89566) ^ [_96265] : [ilf_type(_96265, set_type), 199 ^ _89566 : [(200 ^ _89566) ^ [_96442] : [ilf_type(_96442, set_type), 203 ^ _89566 : [(204 ^ _89566) ^ [_96634] : [ilf_type(_96634, subset_type(cross_product(_96265, _96442))), -(ilf_type(_96634, relation_type(_96265, _96442)))], (210 ^ _89566) ^ [_96836] : [ilf_type(_96836, relation_type(_96265, _96442)), -(ilf_type(_96836, subset_type(cross_product(_96265, _96442))))]]]]], (216 ^ _89566) ^ [_97070] : [ilf_type(_97070, set_type), 219 ^ _89566 : [(220 ^ _89566) ^ [_97211] : [ilf_type(_97211, set_type), -(ilf_type(223 ^ [_97070, _97211], relation_type(_97211, _97070)))]]], (227 ^ _89566) ^ [_97480] : [ilf_type(_97480, binary_relation_type), 230 ^ _89566 : [(231 ^ _89566) ^ [_97635] : [ilf_type(_97635, set_type), 234 ^ _89566 : [(235 ^ _89566) ^ [] : [member(_97635, domain_of(_97480)), 239 ^ _89566 : [(240 ^ _89566) ^ [] : [-(ilf_type(238 ^ [_97480, _97635], set_type))], (242 ^ _89566) ^ [] : [-(member(ordered_pair(_97635, 238 ^ [_97480, _97635]), _97480))]]], (244 ^ _89566) ^ [] : [-(member(_97635, domain_of(_97480))), 245 ^ _89566 : [(246 ^ _89566) ^ [_98119] : [ilf_type(_98119, set_type), member(ordered_pair(_97635, _98119), _97480)]]]]]]], (254 ^ _89566) ^ [_98395] : [ilf_type(_98395, binary_relation_type), -(ilf_type(domain_of(_98395), set_type))], (260 ^ _89566) ^ [_98589] : [ilf_type(_98589, binary_relation_type), 263 ^ _89566 : [(264 ^ _89566) ^ [_98744] : [ilf_type(_98744, set_type), 267 ^ _89566 : [(268 ^ _89566) ^ [] : [member(_98744, range_of(_98589)), 272 ^ _89566 : [(273 ^ _89566) ^ [] : [-(ilf_type(271 ^ [_98589, _98744], set_type))], (275 ^ _89566) ^ [] : [-(member(ordered_pair(271 ^ [_98589, _98744], _98744), _98589))]]], (277 ^ _89566) ^ [] : [-(member(_98744, range_of(_98589))), 278 ^ _89566 : [(279 ^ _89566) ^ [_99228] : [ilf_type(_99228, set_type), member(ordered_pair(_99228, _98744), _98589)]]]]]]], (287 ^ _89566) ^ [_99504] : [ilf_type(_99504, binary_relation_type), -(ilf_type(range_of(_99504), set_type))], (293 ^ _89566) ^ [_99698] : [ilf_type(_99698, set_type), 296 ^ _89566 : [(297 ^ _89566) ^ [] : [ilf_type(_99698, binary_relation_type), 300 ^ _89566 : [(301 ^ _89566) ^ [] : [-(relation_like(_99698))], (303 ^ _89566) ^ [] : [-(ilf_type(_99698, set_type))]]], (305 ^ _89566) ^ [] : [-(ilf_type(_99698, binary_relation_type)), relation_like(_99698), ilf_type(_99698, set_type)]]], (316 ^ _89566) ^ [] : [-(ilf_type(314 ^ [], binary_relation_type))], (318 ^ _89566) ^ [_100367] : [ilf_type(_100367, set_type), 321 ^ _89566 : [(322 ^ _89566) ^ [_100523] : [ilf_type(_100523, set_type), 325 ^ _89566 : [(340 ^ _89566) ^ [] : [342 ^ _89566 : [(343 ^ _89566) ^ [] : [-(ilf_type(341 ^ [_100367, _100523], set_type))], (345 ^ _89566) ^ [] : [-(member(341 ^ [_100367, _100523], _100367))], (347 ^ _89566) ^ [] : [member(341 ^ [_100367, _100523], _100523)]], -(subset(_100367, _100523))], (326 ^ _89566) ^ [] : [subset(_100367, _100523), 329 ^ _89566 : [(330 ^ _89566) ^ [_100782] : [ilf_type(_100782, set_type), member(_100782, _100367), -(member(_100782, _100523))]]]]]]], (351 ^ _89566) ^ [_101442] : [ilf_type(_101442, set_type), 354 ^ _89566 : [(355 ^ _89566) ^ [_101578] : [ilf_type(_101578, set_type), -(ilf_type(cross_product(_101442, _101578), set_type))]]], (361 ^ _89566) ^ [_101787] : [ilf_type(_101787, set_type), 364 ^ _89566 : [(365 ^ _89566) ^ [_101923] : [ilf_type(_101923, set_type), -(ilf_type(ordered_pair(_101787, _101923), set_type))]]], (371 ^ _89566) ^ [_102132] : [ilf_type(_102132, set_type), 374 ^ _89566 : [(375 ^ _89566) ^ [_102277] : [ilf_type(_102277, set_type), 378 ^ _89566 : [(379 ^ _89566) ^ [] : [ilf_type(_102277, subset_type(_102132)), -(ilf_type(_102277, member_type(power_set(_102132))))], (385 ^ _89566) ^ [] : [ilf_type(_102277, member_type(power_set(_102132))), -(ilf_type(_102277, subset_type(_102132)))]]]]], (391 ^ _89566) ^ [_102748] : [ilf_type(_102748, set_type), -(ilf_type(394 ^ [_102748], subset_type(_102748)))], (398 ^ _89566) ^ [_102995] : [ilf_type(_102995, set_type), -(subset(_102995, _102995))], (404 ^ _89566) ^ [_103185] : [ilf_type(_103185, set_type), 407 ^ _89566 : [(408 ^ _89566) ^ [] : [relation_like(_103185), 411 ^ _89566 : [(412 ^ _89566) ^ [_103457] : [ilf_type(_103457, set_type), member(_103457, _103185), 420 ^ _89566 : [(421 ^ _89566) ^ [] : [-(ilf_type(419 ^ [_103185, _103457], set_type))], (424 ^ _89566) ^ [] : [-(ilf_type(422 ^ [_103185, _103457], set_type))], (426 ^ _89566) ^ [] : [-(_103457 = ordered_pair(419 ^ [_103185, _103457], 422 ^ [_103185, _103457]))]]]]], (428 ^ _89566) ^ [] : [-(relation_like(_103185)), 430 ^ _89566 : [(431 ^ _89566) ^ [] : [-(ilf_type(429 ^ [_103185], set_type))], (433 ^ _89566) ^ [] : [-(member(429 ^ [_103185], _103185))], (435 ^ _89566) ^ [_104296] : [ilf_type(_104296, set_type), 438 ^ _89566 : [(439 ^ _89566) ^ [_104443] : [ilf_type(_104443, set_type), 429 ^ [_103185] = ordered_pair(_104296, _104443)]]]]]]], (447 ^ _89566) ^ [_104728] : [ilf_type(_104728, set_type), 450 ^ _89566 : [(451 ^ _89566) ^ [_104876] : [ilf_type(_104876, set_type), 454 ^ _89566 : [(455 ^ _89566) ^ [_105019] : [ilf_type(_105019, subset_type(cross_product(_104728, _104876))), -(relation_like(_105019))]]]]], (461 ^ _89566) ^ [_105243] : [ilf_type(_105243, set_type), 464 ^ _89566 : [(465 ^ _89566) ^ [_105401] : [ilf_type(_105401, set_type), 468 ^ _89566 : [(483 ^ _89566) ^ [] : [485 ^ _89566 : [(486 ^ _89566) ^ [] : [-(ilf_type(484 ^ [_105243, _105401], set_type))], (488 ^ _89566) ^ [] : [-(member(484 ^ [_105243, _105401], _105243))], (490 ^ _89566) ^ [] : [member(484 ^ [_105243, _105401], _105401)]], -(member(_105243, power_set(_105401)))], (469 ^ _89566) ^ [] : [member(_105243, power_set(_105401)), 472 ^ _89566 : [(473 ^ _89566) ^ [_105664] : [ilf_type(_105664, set_type), member(_105664, _105243), -(member(_105664, _105401))]]]]]]], (494 ^ _89566) ^ [_106326] : [ilf_type(_106326, set_type), 497 ^ _89566 : [(498 ^ _89566) ^ [] : [empty(power_set(_106326))], (500 ^ _89566) ^ [] : [-(ilf_type(power_set(_106326), set_type))]]], (502 ^ _89566) ^ [_106596] : [ilf_type(_106596, set_type), 505 ^ _89566 : [(506 ^ _89566) ^ [_106744] : [-(empty(_106744)), ilf_type(_106744, set_type), 513 ^ _89566 : [(514 ^ _89566) ^ [] : [ilf_type(_106596, member_type(_106744)), -(member(_106596, _106744))], (520 ^ _89566) ^ [] : [member(_106596, _106744), -(ilf_type(_106596, member_type(_106744)))]]]]], (526 ^ _89566) ^ [_107295] : [-(ilf_type(533 ^ [_107295], member_type(_107295))), -(empty(_107295)), ilf_type(_107295, set_type)], (570 ^ _89566) ^ [_108567] : [-(ilf_type(_108567, set_type))], (560 ^ _89566) ^ [_108331] : [-(relation_like(_108331)), empty(_108331), ilf_type(_108331, set_type)], (537 ^ _89566) ^ [_107628] : [ilf_type(_107628, set_type), 540 ^ _89566 : [(551 ^ _89566) ^ [] : [553 ^ _89566 : [(554 ^ _89566) ^ [] : [-(ilf_type(552 ^ [_107628], set_type))], (556 ^ _89566) ^ [] : [-(member(552 ^ [_107628], _107628))]], -(empty(_107628))], (541 ^ _89566) ^ [] : [empty(_107628), 544 ^ _89566 : [(545 ^ _89566) ^ [_107871] : [ilf_type(_107871, set_type), member(_107871, _107628)]]]]]], input).
% 137.98/133.68  ncf('1',plain,[ilf_type(577 ^ [], relation_type(571 ^ [], 574 ^ []))],start(585 ^ 0)).
% 137.98/133.68  ncf('1.1',plain,[-(ilf_type(577 ^ [], relation_type(571 ^ [], 574 ^ []))), 204 : ilf_type(577 ^ [], subset_type(cross_product(571 ^ [], 574 ^ []))), 204 : ilf_type(574 ^ [], set_type), 200 : ilf_type(571 ^ [], set_type)],extension(196 ^ 1,bind([[_96265, _96442, _96634], [571 ^ [], 574 ^ [], 577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1',plain,[-(ilf_type(577 ^ [], subset_type(cross_product(571 ^ [], 574 ^ [])))), 385 : ilf_type(577 ^ [], member_type(power_set(cross_product(571 ^ [], 574 ^ [])))), 385 : ilf_type(577 ^ [], set_type), 375 : ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)],extension(371 ^ 6,bind([[_102132, _102277], [cross_product(571 ^ [], 574 ^ []), 577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1',plain,[-(ilf_type(577 ^ [], member_type(power_set(cross_product(571 ^ [], 574 ^ []))))), 520 : member(577 ^ [], power_set(cross_product(571 ^ [], 574 ^ []))), 520 : -(empty(power_set(cross_product(571 ^ [], 574 ^ [])))), 520 : ilf_type(power_set(cross_product(571 ^ [], 574 ^ [])), set_type), 506 : ilf_type(577 ^ [], set_type)],extension(502 ^ 11,bind([[_106596, _106744], [577 ^ [], power_set(cross_product(571 ^ [], 574 ^ []))]]))).
% 137.98/133.68  ncf('1.1.1.1.1',plain,[-(member(577 ^ [], power_set(cross_product(571 ^ [], 574 ^ [])))), 486 : -(ilf_type(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], set_type)), 483 : ilf_type(cross_product(571 ^ [], 574 ^ []), set_type), 465 : ilf_type(577 ^ [], set_type)],extension(461 ^ 16,bind([[_105243, _105401], [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1',plain,[ilf_type(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], set_type), 330 : member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ []), 330 : -(member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], cross_product(domain_of(577 ^ []), range_of(577 ^ [])))), 330 : subset(577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ []))), 326 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type), 322 : ilf_type(577 ^ [], set_type)],extension(318 ^ 23,bind([[_100367, _100523, _100782], [577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ [])), 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1',plain,[-(member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ [])), member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ []), 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])] = 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ [] = 577 ^ []],extension(20 ^ 30,bind([[_90362, _90364, _90366, _90368], [577 ^ [], 577 ^ [], 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.1',plain,[-(member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ [])), member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ []), 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])] = 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ [] = 577 ^ []],extension(20 ^ 31,bind([[_90362, _90364, _90366, _90368], [577 ^ [], 577 ^ [], 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.1.1',plain,[-(member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], 577 ^ []))],extension(488 ^ 32)).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.1.2',plain,[-(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])] = 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])])],extension(2 ^ 32,bind([[_89710], [484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.1.3',plain,[-(577 ^ [] = 577 ^ [])],extension(2 ^ 32,bind([[_89710], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.2',plain,[-(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])] = 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])])],extension(2 ^ 31,bind([[_89710], [484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.1.3',plain,[-(577 ^ [] = 577 ^ [])],extension(2 ^ 31,bind([[_89710], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2',plain,[member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], cross_product(domain_of(577 ^ []), range_of(577 ^ []))), 330 : ilf_type(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], set_type), 330 : -(member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], cross_product(571 ^ [], 574 ^ []))), 330 : subset(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(571 ^ [], 574 ^ [])), 326 : ilf_type(cross_product(571 ^ [], 574 ^ []), set_type), 322 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)],extension(318 ^ 30,bind([[_100367, _100523, _100782], [cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(571 ^ [], 574 ^ []), 484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])]]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.1',plain,[-(ilf_type(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], set_type))],reduction('1.1.1.1.1')).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.2',plain,[member(484 ^ [577 ^ [], cross_product(571 ^ [], 574 ^ [])], cross_product(571 ^ [], 574 ^ []))],extension(490 ^ 37)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3',plain,[-(subset(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(571 ^ [], 574 ^ []))), 182 : ilf_type(574 ^ [], set_type), 182 : subset(domain_of(577 ^ []), 571 ^ []), 182 : subset(range_of(577 ^ []), 574 ^ []), 182 : ilf_type(range_of(577 ^ []), set_type), 178 : ilf_type(571 ^ [], set_type), 174 : ilf_type(domain_of(577 ^ []), set_type)],extension(170 ^ 35,bind([[_95326, _95499, _95667, _95830], [domain_of(577 ^ []), 571 ^ [], range_of(577 ^ []), 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 42)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.2',plain,[-(subset(domain_of(577 ^ []), 571 ^ []))],extension(581 ^ 42)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.3',plain,[-(subset(range_of(577 ^ []), 574 ^ []))],extension(583 ^ 42)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.4',plain,[-(ilf_type(range_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(287 ^ 40,bind([[_99504], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.4.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 41)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.5',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 38)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.6',plain,[-(ilf_type(domain_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(254 ^ 36,bind([[_98395], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.3.6.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 37)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.4',plain,[-(ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)), 355 : ilf_type(574 ^ [], set_type), 355 : ilf_type(571 ^ [], set_type)],extension(351 ^ 33,bind([[_101442, _101578], [571 ^ [], 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.4.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 36)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.4.2',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 34)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.5',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)), 355 : ilf_type(range_of(577 ^ []), set_type), 355 : ilf_type(domain_of(577 ^ []), set_type)],extension(351 ^ 31,bind([[_101442, _101578], [domain_of(577 ^ []), range_of(577 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.5.1',plain,[-(ilf_type(range_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(287 ^ 34,bind([[_99504], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.5.1.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 35)).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.5.2',plain,[-(ilf_type(domain_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(254 ^ 32,bind([[_98395], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.2.5.2.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 33)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3',plain,[-(subset(577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ [])))), 150 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type), 150 : subset(577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ []))), 150 : subset(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ []))), 150 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type), 146 : ilf_type(577 ^ [], set_type)],extension(142 ^ 28,bind([[_94413, _94569, _94720], [577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ []))]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.1',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)), 355 : ilf_type(range_of(577 ^ []), set_type), 355 : ilf_type(domain_of(577 ^ []), set_type)],extension(351 ^ 33,bind([[_101442, _101578], [domain_of(577 ^ []), range_of(577 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.1.1',plain,[-(ilf_type(range_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(287 ^ 36,bind([[_99504], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.1.1.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 37)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.1.2',plain,[-(ilf_type(domain_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(254 ^ 34,bind([[_98395], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.1.2.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 35)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.2',plain,[-(subset(577 ^ [], cross_product(domain_of(577 ^ []), range_of(577 ^ [])))), ilf_type(577 ^ [], binary_relation_type)],extension(164 ^ 33,bind([[_95122], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.2.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 34)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.3',plain,[-(subset(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ [])))), 345 : -(member(341 ^ [cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ []))], cross_product(domain_of(577 ^ []), range_of(577 ^ [])))), 340 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type), 322 : ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)],extension(318 ^ 33,bind([[_100367, _100523], [cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ []))]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.3.1',plain,[member(341 ^ [cross_product(domain_of(577 ^ []), range_of(577 ^ [])), cross_product(domain_of(577 ^ []), range_of(577 ^ []))], cross_product(domain_of(577 ^ []), range_of(577 ^ [])))],extension(347 ^ 40)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.3.2',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type))],lemmata('[1, 1, 1, 1, 1, 1].x')).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.3.3',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type))],lemmata('[1, 1, 1, 1, 1, 1].x')).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.4',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)), 355 : ilf_type(range_of(577 ^ []), set_type), 355 : ilf_type(domain_of(577 ^ []), set_type)],extension(351 ^ 31,bind([[_101442, _101578], [domain_of(577 ^ []), range_of(577 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.4.1',plain,[-(ilf_type(range_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(287 ^ 34,bind([[_99504], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.4.1.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 35)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.4.2',plain,[-(ilf_type(domain_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(254 ^ 32,bind([[_98395], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.4.2.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 33)).
% 137.98/133.68  ncf('1.1.1.1.1.1.3.5',plain,[-(ilf_type(577 ^ [], set_type))],extension(570 ^ 29,bind([[_108567], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.4',plain,[-(ilf_type(cross_product(domain_of(577 ^ []), range_of(577 ^ [])), set_type)), 355 : ilf_type(range_of(577 ^ []), set_type), 355 : ilf_type(domain_of(577 ^ []), set_type)],extension(351 ^ 26,bind([[_101442, _101578], [domain_of(577 ^ []), range_of(577 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.4.1',plain,[-(ilf_type(range_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(287 ^ 29,bind([[_99504], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.4.1.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 30)).
% 137.98/133.68  ncf('1.1.1.1.1.1.4.2',plain,[-(ilf_type(domain_of(577 ^ []), set_type)), ilf_type(577 ^ [], binary_relation_type)],extension(254 ^ 27,bind([[_98395], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.1.4.2.1',plain,[-(ilf_type(577 ^ [], binary_relation_type))],extension(579 ^ 28)).
% 137.98/133.68  ncf('1.1.1.1.1.1.5',plain,[-(ilf_type(577 ^ [], set_type))],extension(570 ^ 24,bind([[_108567], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.2',plain,[-(ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)), 355 : ilf_type(574 ^ [], set_type), 355 : ilf_type(571 ^ [], set_type)],extension(351 ^ 19,bind([[_101442, _101578], [571 ^ [], 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.1.2.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 22)).
% 137.98/133.68  ncf('1.1.1.1.1.2.2',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 20)).
% 137.98/133.68  ncf('1.1.1.1.1.3',plain,[-(ilf_type(577 ^ [], set_type))],extension(570 ^ 17,bind([[_108567], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.2',plain,[empty(power_set(cross_product(571 ^ [], 574 ^ []))), ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)],extension(494 ^ 14,bind([[_106326], [cross_product(571 ^ [], 574 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.2.1',plain,[-(ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)), 355 : ilf_type(574 ^ [], set_type), 355 : ilf_type(571 ^ [], set_type)],extension(351 ^ 15,bind([[_101442, _101578], [571 ^ [], 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.2.1.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 18)).
% 137.98/133.68  ncf('1.1.1.1.2.1.2',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 16)).
% 137.98/133.68  ncf('1.1.1.1.3',plain,[-(ilf_type(power_set(cross_product(571 ^ [], 574 ^ [])), set_type)), ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)],extension(494 ^ 14,bind([[_106326], [cross_product(571 ^ [], 574 ^ [])]]))).
% 137.98/133.68  ncf('1.1.1.1.3.1',plain,[-(ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)), 355 : ilf_type(574 ^ [], set_type), 355 : ilf_type(571 ^ [], set_type)],extension(351 ^ 15,bind([[_101442, _101578], [571 ^ [], 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.1.3.1.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 18)).
% 137.98/133.68  ncf('1.1.1.1.3.1.2',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 16)).
% 137.98/133.68  ncf('1.1.1.1.4',plain,[-(ilf_type(577 ^ [], set_type))],extension(570 ^ 12,bind([[_108567], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.2',plain,[-(ilf_type(577 ^ [], set_type))],extension(570 ^ 9,bind([[_108567], [577 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.3',plain,[-(ilf_type(cross_product(571 ^ [], 574 ^ []), set_type)), 355 : ilf_type(574 ^ [], set_type), 355 : ilf_type(571 ^ [], set_type)],extension(351 ^ 7,bind([[_101442, _101578], [571 ^ [], 574 ^ []]]))).
% 137.98/133.68  ncf('1.1.1.3.1',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 10)).
% 137.98/133.68  ncf('1.1.1.3.2',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 8)).
% 137.98/133.68  ncf('1.1.2',plain,[-(ilf_type(574 ^ [], set_type))],extension(576 ^ 4)).
% 137.98/133.68  ncf('1.1.3',plain,[-(ilf_type(571 ^ [], set_type))],extension(573 ^ 2)).
% 137.98/133.68  %-----------------------------------------------------
% 137.98/133.68  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------