TSTP Solution File: SET647+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:56:13 EDT 2023
% Result : Theorem 138.02s 133.67s
% Output : Proof 138.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 19:05:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 138.02/133.67
% 138.02/133.67 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 138.02/133.67 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.02/133.67 %-----------------------------------------------------
% 138.02/133.67 ncf(matrix, plain, [(567 ^ _88839) ^ [] : [-(ilf_type(565 ^ [], set_type))], (570 ^ _88839) ^ [] : [-(ilf_type(568 ^ [], binary_relation_type))], (572 ^ _88839) ^ [] : [-(subset(domain_of(568 ^ []), 565 ^ []))], (574 ^ _88839) ^ [] : [ilf_type(568 ^ [], relation_type(565 ^ [], range_of(568 ^ [])))], (82 ^ _88839) ^ [_91551, _91553, _91555, _91557] : [-(ordered_pair(_91557, _91553) = ordered_pair(_91555, _91551)), _91557 = _91555, _91553 = _91551], (92 ^ _88839) ^ [_91882, _91884] : [_91884 = _91882, -(subset_type(_91884) = subset_type(_91882))], (98 ^ _88839) ^ [_92128, _92130, _92132, _92134] : [-(cross_product(_92134, _92130) = cross_product(_92132, _92128)), _92134 = _92132, _92130 = _92128], (108 ^ _88839) ^ [_92459, _92461] : [_92461 = _92459, -(power_set(_92461) = power_set(_92459))], (114 ^ _88839) ^ [_92677, _92679] : [_92679 = _92677, -(member_type(_92679) = member_type(_92677))], (120 ^ _88839) ^ [_92895, _92897] : [_92897 = _92895, -(domain_of(_92897) = domain_of(_92895))], (136 ^ _88839) ^ [_93452, _93454] : [_93454 = _93452, -(range_of(_93454) = range_of(_93452))], (126 ^ _88839) ^ [_93141, _93143, _93145, _93147] : [-(relation_type(_93147, _93143) = relation_type(_93145, _93141)), _93147 = _93145, _93143 = _93141], (2 ^ _88839) ^ [_88983] : [-(_88983 = _88983)], (4 ^ _88839) ^ [_89090, _89092] : [_89092 = _89090, -(_89090 = _89092)], (10 ^ _88839) ^ [_89294, _89296, _89298] : [-(_89298 = _89294), _89298 = _89296, _89296 = _89294], (20 ^ _88839) ^ [_89635, _89637, _89639, _89641] : [-(member(_89639, _89635)), member(_89641, _89637), _89641 = _89639, _89637 = _89635], (34 ^ _88839) ^ [_90051, _90053] : [-(empty(_90051)), _90053 = _90051, empty(_90053)], (44 ^ _88839) ^ [_90346, _90348] : [-(relation_like(_90346)), _90348 = _90346, relation_like(_90348)], (54 ^ _88839) ^ [_90669, _90671, _90673, _90675] : [-(subset(_90673, _90669)), subset(_90675, _90671), _90675 = _90673, _90671 = _90669], (68 ^ _88839) ^ [_91093, _91095, _91097, _91099] : [-(ilf_type(_91097, _91093)), ilf_type(_91099, _91095), _91099 = _91097, _91095 = _91093], (142 ^ _88839) ^ [_93686] : [ilf_type(_93686, set_type), 145 ^ _88839 : [(146 ^ _88839) ^ [_93842] : [ilf_type(_93842, set_type), 149 ^ _88839 : [(150 ^ _88839) ^ [_93993] : [ilf_type(_93993, set_type), -(subset(_93686, _93993)), subset(_93686, _93842), subset(_93842, _93993)]]]]], (164 ^ _88839) ^ [_94395] : [ilf_type(_94395, binary_relation_type), -(subset(_94395, cross_product(domain_of(_94395), range_of(_94395))))], (170 ^ _88839) ^ [_94599] : [ilf_type(_94599, set_type), 173 ^ _88839 : [(174 ^ _88839) ^ [_94767] : [ilf_type(_94767, set_type), 177 ^ _88839 : [(178 ^ _88839) ^ [_94930] : [ilf_type(_94930, set_type), subset(_94599, _94767), 185 ^ _88839 : [(186 ^ _88839) ^ [] : [-(subset(cross_product(_94599, _94930), cross_product(_94767, _94930)))], (188 ^ _88839) ^ [] : [-(subset(cross_product(_94930, _94599), cross_product(_94930, _94767)))]]]]]]], (190 ^ _88839) ^ [_95340] : [ilf_type(_95340, set_type), 193 ^ _88839 : [(194 ^ _88839) ^ [_95517] : [ilf_type(_95517, set_type), 197 ^ _88839 : [(198 ^ _88839) ^ [_95709] : [ilf_type(_95709, subset_type(cross_product(_95340, _95517))), -(ilf_type(_95709, relation_type(_95340, _95517)))], (204 ^ _88839) ^ [_95911] : [ilf_type(_95911, relation_type(_95340, _95517)), -(ilf_type(_95911, subset_type(cross_product(_95340, _95517))))]]]]], (210 ^ _88839) ^ [_96145] : [ilf_type(_96145, set_type), 213 ^ _88839 : [(214 ^ _88839) ^ [_96286] : [ilf_type(_96286, set_type), -(ilf_type(217 ^ [_96145, _96286], relation_type(_96286, _96145)))]]], (221 ^ _88839) ^ [_96555] : [ilf_type(_96555, binary_relation_type), 224 ^ _88839 : [(225 ^ _88839) ^ [_96710] : [ilf_type(_96710, set_type), 228 ^ _88839 : [(229 ^ _88839) ^ [] : [member(_96710, domain_of(_96555)), 233 ^ _88839 : [(234 ^ _88839) ^ [] : [-(ilf_type(232 ^ [_96555, _96710], set_type))], (236 ^ _88839) ^ [] : [-(member(ordered_pair(_96710, 232 ^ [_96555, _96710]), _96555))]]], (238 ^ _88839) ^ [] : [-(member(_96710, domain_of(_96555))), 239 ^ _88839 : [(240 ^ _88839) ^ [_97194] : [ilf_type(_97194, set_type), member(ordered_pair(_96710, _97194), _96555)]]]]]]], (248 ^ _88839) ^ [_97470] : [ilf_type(_97470, binary_relation_type), -(ilf_type(domain_of(_97470), set_type))], (254 ^ _88839) ^ [_97664] : [ilf_type(_97664, binary_relation_type), 257 ^ _88839 : [(258 ^ _88839) ^ [_97819] : [ilf_type(_97819, set_type), 261 ^ _88839 : [(262 ^ _88839) ^ [] : [member(_97819, range_of(_97664)), 266 ^ _88839 : [(267 ^ _88839) ^ [] : [-(ilf_type(265 ^ [_97664, _97819], set_type))], (269 ^ _88839) ^ [] : [-(member(ordered_pair(265 ^ [_97664, _97819], _97819), _97664))]]], (271 ^ _88839) ^ [] : [-(member(_97819, range_of(_97664))), 272 ^ _88839 : [(273 ^ _88839) ^ [_98303] : [ilf_type(_98303, set_type), member(ordered_pair(_98303, _97819), _97664)]]]]]]], (281 ^ _88839) ^ [_98579] : [ilf_type(_98579, binary_relation_type), -(ilf_type(range_of(_98579), set_type))], (287 ^ _88839) ^ [_98773] : [ilf_type(_98773, set_type), 290 ^ _88839 : [(291 ^ _88839) ^ [] : [ilf_type(_98773, binary_relation_type), 294 ^ _88839 : [(295 ^ _88839) ^ [] : [-(relation_like(_98773))], (297 ^ _88839) ^ [] : [-(ilf_type(_98773, set_type))]]], (299 ^ _88839) ^ [] : [-(ilf_type(_98773, binary_relation_type)), relation_like(_98773), ilf_type(_98773, set_type)]]], (310 ^ _88839) ^ [] : [-(ilf_type(308 ^ [], binary_relation_type))], (312 ^ _88839) ^ [_99442] : [ilf_type(_99442, set_type), 315 ^ _88839 : [(316 ^ _88839) ^ [_99598] : [ilf_type(_99598, set_type), 319 ^ _88839 : [(334 ^ _88839) ^ [] : [336 ^ _88839 : [(337 ^ _88839) ^ [] : [-(ilf_type(335 ^ [_99442, _99598], set_type))], (339 ^ _88839) ^ [] : [-(member(335 ^ [_99442, _99598], _99442))], (341 ^ _88839) ^ [] : [member(335 ^ [_99442, _99598], _99598)]], -(subset(_99442, _99598))], (320 ^ _88839) ^ [] : [subset(_99442, _99598), 323 ^ _88839 : [(324 ^ _88839) ^ [_99857] : [ilf_type(_99857, set_type), member(_99857, _99442), -(member(_99857, _99598))]]]]]]], (345 ^ _88839) ^ [_100517] : [ilf_type(_100517, set_type), 348 ^ _88839 : [(349 ^ _88839) ^ [_100653] : [ilf_type(_100653, set_type), -(ilf_type(cross_product(_100517, _100653), set_type))]]], (355 ^ _88839) ^ [_100862] : [ilf_type(_100862, set_type), 358 ^ _88839 : [(359 ^ _88839) ^ [_100998] : [ilf_type(_100998, set_type), -(ilf_type(ordered_pair(_100862, _100998), set_type))]]], (365 ^ _88839) ^ [_101207] : [ilf_type(_101207, set_type), 368 ^ _88839 : [(369 ^ _88839) ^ [_101352] : [ilf_type(_101352, set_type), 372 ^ _88839 : [(373 ^ _88839) ^ [] : [ilf_type(_101352, subset_type(_101207)), -(ilf_type(_101352, member_type(power_set(_101207))))], (379 ^ _88839) ^ [] : [ilf_type(_101352, member_type(power_set(_101207))), -(ilf_type(_101352, subset_type(_101207)))]]]]], (385 ^ _88839) ^ [_101823] : [ilf_type(_101823, set_type), -(ilf_type(388 ^ [_101823], subset_type(_101823)))], (392 ^ _88839) ^ [_102070] : [ilf_type(_102070, set_type), -(subset(_102070, _102070))], (398 ^ _88839) ^ [_102260] : [ilf_type(_102260, set_type), 401 ^ _88839 : [(402 ^ _88839) ^ [] : [relation_like(_102260), 405 ^ _88839 : [(406 ^ _88839) ^ [_102532] : [ilf_type(_102532, set_type), member(_102532, _102260), 414 ^ _88839 : [(415 ^ _88839) ^ [] : [-(ilf_type(413 ^ [_102260, _102532], set_type))], (418 ^ _88839) ^ [] : [-(ilf_type(416 ^ [_102260, _102532], set_type))], (420 ^ _88839) ^ [] : [-(_102532 = ordered_pair(413 ^ [_102260, _102532], 416 ^ [_102260, _102532]))]]]]], (422 ^ _88839) ^ [] : [-(relation_like(_102260)), 424 ^ _88839 : [(425 ^ _88839) ^ [] : [-(ilf_type(423 ^ [_102260], set_type))], (427 ^ _88839) ^ [] : [-(member(423 ^ [_102260], _102260))], (429 ^ _88839) ^ [_103371] : [ilf_type(_103371, set_type), 432 ^ _88839 : [(433 ^ _88839) ^ [_103518] : [ilf_type(_103518, set_type), 423 ^ [_102260] = ordered_pair(_103371, _103518)]]]]]]], (441 ^ _88839) ^ [_103803] : [ilf_type(_103803, set_type), 444 ^ _88839 : [(445 ^ _88839) ^ [_103951] : [ilf_type(_103951, set_type), 448 ^ _88839 : [(449 ^ _88839) ^ [_104094] : [ilf_type(_104094, subset_type(cross_product(_103803, _103951))), -(relation_like(_104094))]]]]], (455 ^ _88839) ^ [_104318] : [ilf_type(_104318, set_type), 458 ^ _88839 : [(459 ^ _88839) ^ [_104476] : [ilf_type(_104476, set_type), 462 ^ _88839 : [(477 ^ _88839) ^ [] : [479 ^ _88839 : [(480 ^ _88839) ^ [] : [-(ilf_type(478 ^ [_104318, _104476], set_type))], (482 ^ _88839) ^ [] : [-(member(478 ^ [_104318, _104476], _104318))], (484 ^ _88839) ^ [] : [member(478 ^ [_104318, _104476], _104476)]], -(member(_104318, power_set(_104476)))], (463 ^ _88839) ^ [] : [member(_104318, power_set(_104476)), 466 ^ _88839 : [(467 ^ _88839) ^ [_104739] : [ilf_type(_104739, set_type), member(_104739, _104318), -(member(_104739, _104476))]]]]]]], (488 ^ _88839) ^ [_105401] : [ilf_type(_105401, set_type), 491 ^ _88839 : [(492 ^ _88839) ^ [] : [empty(power_set(_105401))], (494 ^ _88839) ^ [] : [-(ilf_type(power_set(_105401), set_type))]]], (496 ^ _88839) ^ [_105671] : [ilf_type(_105671, set_type), 499 ^ _88839 : [(500 ^ _88839) ^ [_105819] : [-(empty(_105819)), ilf_type(_105819, set_type), 507 ^ _88839 : [(508 ^ _88839) ^ [] : [ilf_type(_105671, member_type(_105819)), -(member(_105671, _105819))], (514 ^ _88839) ^ [] : [member(_105671, _105819), -(ilf_type(_105671, member_type(_105819)))]]]]], (520 ^ _88839) ^ [_106370] : [-(ilf_type(527 ^ [_106370], member_type(_106370))), -(empty(_106370)), ilf_type(_106370, set_type)], (564 ^ _88839) ^ [_107642] : [-(ilf_type(_107642, set_type))], (554 ^ _88839) ^ [_107406] : [-(relation_like(_107406)), empty(_107406), ilf_type(_107406, set_type)], (531 ^ _88839) ^ [_106703] : [ilf_type(_106703, set_type), 534 ^ _88839 : [(545 ^ _88839) ^ [] : [547 ^ _88839 : [(548 ^ _88839) ^ [] : [-(ilf_type(546 ^ [_106703], set_type))], (550 ^ _88839) ^ [] : [-(member(546 ^ [_106703], _106703))]], -(empty(_106703))], (535 ^ _88839) ^ [] : [empty(_106703), 538 ^ _88839 : [(539 ^ _88839) ^ [_106946] : [ilf_type(_106946, set_type), member(_106946, _106703)]]]]]], input).
% 138.02/133.67 ncf('1',plain,[ilf_type(568 ^ [], relation_type(565 ^ [], range_of(568 ^ [])))],start(574 ^ 0)).
% 138.02/133.67 ncf('1.1',plain,[-(ilf_type(568 ^ [], relation_type(565 ^ [], range_of(568 ^ [])))), 198 : ilf_type(568 ^ [], subset_type(cross_product(565 ^ [], range_of(568 ^ [])))), 198 : ilf_type(range_of(568 ^ []), set_type), 194 : ilf_type(565 ^ [], set_type)],extension(190 ^ 1,bind([[_95340, _95517, _95709], [565 ^ [], range_of(568 ^ []), 568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1',plain,[-(ilf_type(568 ^ [], subset_type(cross_product(565 ^ [], range_of(568 ^ []))))), 379 : ilf_type(568 ^ [], member_type(power_set(cross_product(565 ^ [], range_of(568 ^ []))))), 379 : ilf_type(568 ^ [], set_type), 369 : ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)],extension(365 ^ 6,bind([[_101207, _101352], [cross_product(565 ^ [], range_of(568 ^ [])), 568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1',plain,[-(ilf_type(568 ^ [], member_type(power_set(cross_product(565 ^ [], range_of(568 ^ [])))))), 514 : member(568 ^ [], power_set(cross_product(565 ^ [], range_of(568 ^ [])))), 514 : -(empty(power_set(cross_product(565 ^ [], range_of(568 ^ []))))), 514 : ilf_type(power_set(cross_product(565 ^ [], range_of(568 ^ []))), set_type), 500 : ilf_type(568 ^ [], set_type)],extension(496 ^ 11,bind([[_105671, _105819], [568 ^ [], power_set(cross_product(565 ^ [], range_of(568 ^ [])))]]))).
% 138.02/133.67 ncf('1.1.1.1.1',plain,[-(member(568 ^ [], power_set(cross_product(565 ^ [], range_of(568 ^ []))))), 480 : -(ilf_type(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], set_type)), 477 : ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type), 459 : ilf_type(568 ^ [], set_type)],extension(455 ^ 16,bind([[_104318, _104476], [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1',plain,[ilf_type(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], set_type), 324 : member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ []), 324 : -(member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], cross_product(domain_of(568 ^ []), range_of(568 ^ [])))), 324 : subset(568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ []))), 320 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type), 316 : ilf_type(568 ^ [], set_type)],extension(312 ^ 23,bind([[_99442, _99598, _99857], [568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])), 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ [])), member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ []), 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))] = 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ [] = 568 ^ []],extension(20 ^ 30,bind([[_89635, _89637, _89639, _89641], [568 ^ [], 568 ^ [], 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ [])), member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ []), 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))] = 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ [] = 568 ^ []],extension(20 ^ 31,bind([[_89635, _89637, _89639, _89641], [568 ^ [], 568 ^ [], 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], 568 ^ []))],extension(482 ^ 32)).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.1.2',plain,[-(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))] = 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))])],extension(2 ^ 32,bind([[_88983], [478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.1.3',plain,[-(568 ^ [] = 568 ^ [])],extension(2 ^ 32,bind([[_88983], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.2',plain,[-(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))] = 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))])],extension(2 ^ 31,bind([[_88983], [478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.1.3',plain,[-(568 ^ [] = 568 ^ [])],extension(2 ^ 31,bind([[_88983], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2',plain,[member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], cross_product(domain_of(568 ^ []), range_of(568 ^ []))), 324 : ilf_type(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], set_type), 324 : -(member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], cross_product(565 ^ [], range_of(568 ^ [])))), 324 : subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(565 ^ [], range_of(568 ^ []))), 320 : ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type), 316 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)],extension(312 ^ 30,bind([[_99442, _99598, _99857], [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(565 ^ [], range_of(568 ^ [])), 478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))]]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.1',plain,[-(ilf_type(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], set_type))],reduction('1.1.1.1.1')).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.2',plain,[member(478 ^ [568 ^ [], cross_product(565 ^ [], range_of(568 ^ []))], cross_product(565 ^ [], range_of(568 ^ [])))],extension(484 ^ 37)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3',plain,[-(subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(565 ^ [], range_of(568 ^ [])))), 178 : ilf_type(range_of(568 ^ []), set_type), 178 : subset(domain_of(568 ^ []), 565 ^ []), 178 : ilf_type(565 ^ [], set_type), 174 : ilf_type(domain_of(568 ^ []), set_type)],extension(170 ^ 35,bind([[_94599, _94767, _94930], [domain_of(568 ^ []), 565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 40,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 41)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.2',plain,[-(subset(domain_of(568 ^ []), 565 ^ []))],extension(572 ^ 40)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.3',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 38)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.4',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 36,bind([[_97470], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.3.4.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 37)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.4',plain,[-(ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(565 ^ [], set_type)],extension(345 ^ 33,bind([[_100517, _100653], [565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.4.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 36,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.4.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 37)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.4.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 34)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.5',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 31,bind([[_100517, _100653], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.5.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 34,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.5.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.5.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 32,bind([[_97470], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.2.5.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 33)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3',plain,[-(subset(568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])))), 150 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type), 150 : subset(568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ []))), 150 : subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))), 150 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type), 146 : ilf_type(568 ^ [], set_type)],extension(142 ^ 28,bind([[_93686, _93842, _93993], [568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.1',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 33,bind([[_100517, _100653], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.1.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 36,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.1.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 37)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.1.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 34,bind([[_97470], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.1.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.2',plain,[-(subset(568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])))), ilf_type(568 ^ [], binary_relation_type)],extension(164 ^ 33,bind([[_94395], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 34)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.3',plain,[-(subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ [])))), 339 : -(member(335 ^ [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))], cross_product(domain_of(568 ^ []), range_of(568 ^ [])))), 334 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type), 316 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)],extension(312 ^ 33,bind([[_99442, _99598], [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.3.1',plain,[member(335 ^ [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))], cross_product(domain_of(568 ^ []), range_of(568 ^ [])))],extension(341 ^ 40)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.3.2',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type))],lemmata('[1, 1, 1, 1, 1, 1].x')).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.3.3',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type))],lemmata('[1, 1, 1, 1, 1, 1].x')).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.4',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 31,bind([[_100517, _100653], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.4.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 34,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.4.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.4.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 32,bind([[_97470], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.4.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 33)).
% 138.02/133.67 ncf('1.1.1.1.1.1.3.5',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 29,bind([[_107642], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.4',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 26,bind([[_100517, _100653], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.4.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 29,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.4.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 30)).
% 138.02/133.67 ncf('1.1.1.1.1.1.4.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 27,bind([[_97470], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.1.4.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 28)).
% 138.02/133.67 ncf('1.1.1.1.1.1.5',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 24,bind([[_107642], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.2',plain,[-(ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(565 ^ [], set_type)],extension(345 ^ 19,bind([[_100517, _100653], [565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.1.2.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 22,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.1.2.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 23)).
% 138.02/133.67 ncf('1.1.1.1.1.2.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 20)).
% 138.02/133.67 ncf('1.1.1.1.1.3',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 17,bind([[_107642], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.2',plain,[empty(power_set(cross_product(565 ^ [], range_of(568 ^ [])))), ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)],extension(488 ^ 14,bind([[_105401], [cross_product(565 ^ [], range_of(568 ^ []))]]))).
% 138.02/133.67 ncf('1.1.1.1.2.1',plain,[-(ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(565 ^ [], set_type)],extension(345 ^ 15,bind([[_100517, _100653], [565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.2.1.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 18,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.2.1.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 19)).
% 138.02/133.67 ncf('1.1.1.1.2.1.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 16)).
% 138.02/133.67 ncf('1.1.1.1.3',plain,[-(ilf_type(power_set(cross_product(565 ^ [], range_of(568 ^ []))), set_type)), ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)],extension(488 ^ 14,bind([[_105401], [cross_product(565 ^ [], range_of(568 ^ []))]]))).
% 138.02/133.67 ncf('1.1.1.1.3.1',plain,[-(ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(565 ^ [], set_type)],extension(345 ^ 15,bind([[_100517, _100653], [565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.1.3.1.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 18,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.1.3.1.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 19)).
% 138.02/133.67 ncf('1.1.1.1.3.1.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 16)).
% 138.02/133.67 ncf('1.1.1.1.4',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 12,bind([[_107642], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.2',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 9,bind([[_107642], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.3',plain,[-(ilf_type(cross_product(565 ^ [], range_of(568 ^ [])), set_type)), 349 : ilf_type(range_of(568 ^ []), set_type), 349 : ilf_type(565 ^ [], set_type)],extension(345 ^ 7,bind([[_100517, _100653], [565 ^ [], range_of(568 ^ [])]]))).
% 138.02/133.67 ncf('1.1.1.3.1',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 10,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.1.3.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 11)).
% 138.02/133.67 ncf('1.1.1.3.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 8)).
% 138.02/133.67 ncf('1.1.2',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 4,bind([[_98579], [568 ^ []]]))).
% 138.02/133.67 ncf('1.1.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 5)).
% 138.02/133.67 ncf('1.1.3',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 2)).
% 138.02/133.67 %-----------------------------------------------------
% 138.02/133.67 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------