TSTP Solution File: SET648+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 138.15s 133.76s
% Output : Proof 138.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:13:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 138.15/133.76
% 138.15/133.76 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 138.15/133.76 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.15/133.76 %-----------------------------------------------------
% 138.15/133.76 ncf(matrix, plain, [(567 ^ _88791) ^ [] : [-(ilf_type(565 ^ [], set_type))], (570 ^ _88791) ^ [] : [-(ilf_type(568 ^ [], binary_relation_type))], (572 ^ _88791) ^ [] : [-(subset(range_of(568 ^ []), 565 ^ []))], (574 ^ _88791) ^ [] : [ilf_type(568 ^ [], relation_type(domain_of(568 ^ []), 565 ^ []))], (82 ^ _88791) ^ [_91503, _91505, _91507, _91509] : [-(ordered_pair(_91509, _91505) = ordered_pair(_91507, _91503)), _91509 = _91507, _91505 = _91503], (92 ^ _88791) ^ [_91834, _91836] : [_91836 = _91834, -(subset_type(_91836) = subset_type(_91834))], (98 ^ _88791) ^ [_92080, _92082, _92084, _92086] : [-(cross_product(_92086, _92082) = cross_product(_92084, _92080)), _92086 = _92084, _92082 = _92080], (108 ^ _88791) ^ [_92411, _92413] : [_92413 = _92411, -(power_set(_92413) = power_set(_92411))], (114 ^ _88791) ^ [_92629, _92631] : [_92631 = _92629, -(member_type(_92631) = member_type(_92629))], (120 ^ _88791) ^ [_92847, _92849] : [_92849 = _92847, -(range_of(_92849) = range_of(_92847))], (136 ^ _88791) ^ [_93404, _93406] : [_93406 = _93404, -(domain_of(_93406) = domain_of(_93404))], (126 ^ _88791) ^ [_93093, _93095, _93097, _93099] : [-(relation_type(_93099, _93095) = relation_type(_93097, _93093)), _93099 = _93097, _93095 = _93093], (2 ^ _88791) ^ [_88935] : [-(_88935 = _88935)], (4 ^ _88791) ^ [_89042, _89044] : [_89044 = _89042, -(_89042 = _89044)], (10 ^ _88791) ^ [_89246, _89248, _89250] : [-(_89250 = _89246), _89250 = _89248, _89248 = _89246], (20 ^ _88791) ^ [_89587, _89589, _89591, _89593] : [-(member(_89591, _89587)), member(_89593, _89589), _89593 = _89591, _89589 = _89587], (34 ^ _88791) ^ [_90003, _90005] : [-(empty(_90003)), _90005 = _90003, empty(_90005)], (44 ^ _88791) ^ [_90298, _90300] : [-(relation_like(_90298)), _90300 = _90298, relation_like(_90300)], (54 ^ _88791) ^ [_90621, _90623, _90625, _90627] : [-(subset(_90625, _90621)), subset(_90627, _90623), _90627 = _90625, _90623 = _90621], (68 ^ _88791) ^ [_91045, _91047, _91049, _91051] : [-(ilf_type(_91049, _91045)), ilf_type(_91051, _91047), _91051 = _91049, _91047 = _91045], (142 ^ _88791) ^ [_93638] : [ilf_type(_93638, set_type), 145 ^ _88791 : [(146 ^ _88791) ^ [_93794] : [ilf_type(_93794, set_type), 149 ^ _88791 : [(150 ^ _88791) ^ [_93945] : [ilf_type(_93945, set_type), -(subset(_93638, _93945)), subset(_93638, _93794), subset(_93794, _93945)]]]]], (164 ^ _88791) ^ [_94347] : [ilf_type(_94347, binary_relation_type), -(subset(_94347, cross_product(domain_of(_94347), range_of(_94347))))], (170 ^ _88791) ^ [_94551] : [ilf_type(_94551, set_type), 173 ^ _88791 : [(174 ^ _88791) ^ [_94719] : [ilf_type(_94719, set_type), 177 ^ _88791 : [(178 ^ _88791) ^ [_94882] : [ilf_type(_94882, set_type), subset(_94551, _94719), 185 ^ _88791 : [(186 ^ _88791) ^ [] : [-(subset(cross_product(_94551, _94882), cross_product(_94719, _94882)))], (188 ^ _88791) ^ [] : [-(subset(cross_product(_94882, _94551), cross_product(_94882, _94719)))]]]]]]], (190 ^ _88791) ^ [_95292] : [ilf_type(_95292, set_type), 193 ^ _88791 : [(194 ^ _88791) ^ [_95469] : [ilf_type(_95469, set_type), 197 ^ _88791 : [(198 ^ _88791) ^ [_95661] : [ilf_type(_95661, subset_type(cross_product(_95292, _95469))), -(ilf_type(_95661, relation_type(_95292, _95469)))], (204 ^ _88791) ^ [_95863] : [ilf_type(_95863, relation_type(_95292, _95469)), -(ilf_type(_95863, subset_type(cross_product(_95292, _95469))))]]]]], (210 ^ _88791) ^ [_96097] : [ilf_type(_96097, set_type), 213 ^ _88791 : [(214 ^ _88791) ^ [_96238] : [ilf_type(_96238, set_type), -(ilf_type(217 ^ [_96097, _96238], relation_type(_96238, _96097)))]]], (221 ^ _88791) ^ [_96507] : [ilf_type(_96507, binary_relation_type), 224 ^ _88791 : [(225 ^ _88791) ^ [_96662] : [ilf_type(_96662, set_type), 228 ^ _88791 : [(229 ^ _88791) ^ [] : [member(_96662, domain_of(_96507)), 233 ^ _88791 : [(234 ^ _88791) ^ [] : [-(ilf_type(232 ^ [_96507, _96662], set_type))], (236 ^ _88791) ^ [] : [-(member(ordered_pair(_96662, 232 ^ [_96507, _96662]), _96507))]]], (238 ^ _88791) ^ [] : [-(member(_96662, domain_of(_96507))), 239 ^ _88791 : [(240 ^ _88791) ^ [_97146] : [ilf_type(_97146, set_type), member(ordered_pair(_96662, _97146), _96507)]]]]]]], (248 ^ _88791) ^ [_97422] : [ilf_type(_97422, binary_relation_type), -(ilf_type(domain_of(_97422), set_type))], (254 ^ _88791) ^ [_97616] : [ilf_type(_97616, binary_relation_type), 257 ^ _88791 : [(258 ^ _88791) ^ [_97771] : [ilf_type(_97771, set_type), 261 ^ _88791 : [(262 ^ _88791) ^ [] : [member(_97771, range_of(_97616)), 266 ^ _88791 : [(267 ^ _88791) ^ [] : [-(ilf_type(265 ^ [_97616, _97771], set_type))], (269 ^ _88791) ^ [] : [-(member(ordered_pair(265 ^ [_97616, _97771], _97771), _97616))]]], (271 ^ _88791) ^ [] : [-(member(_97771, range_of(_97616))), 272 ^ _88791 : [(273 ^ _88791) ^ [_98255] : [ilf_type(_98255, set_type), member(ordered_pair(_98255, _97771), _97616)]]]]]]], (281 ^ _88791) ^ [_98531] : [ilf_type(_98531, binary_relation_type), -(ilf_type(range_of(_98531), set_type))], (287 ^ _88791) ^ [_98725] : [ilf_type(_98725, set_type), 290 ^ _88791 : [(291 ^ _88791) ^ [] : [ilf_type(_98725, binary_relation_type), 294 ^ _88791 : [(295 ^ _88791) ^ [] : [-(relation_like(_98725))], (297 ^ _88791) ^ [] : [-(ilf_type(_98725, set_type))]]], (299 ^ _88791) ^ [] : [-(ilf_type(_98725, binary_relation_type)), relation_like(_98725), ilf_type(_98725, set_type)]]], (310 ^ _88791) ^ [] : [-(ilf_type(308 ^ [], binary_relation_type))], (312 ^ _88791) ^ [_99394] : [ilf_type(_99394, set_type), 315 ^ _88791 : [(316 ^ _88791) ^ [_99550] : [ilf_type(_99550, set_type), 319 ^ _88791 : [(334 ^ _88791) ^ [] : [336 ^ _88791 : [(337 ^ _88791) ^ [] : [-(ilf_type(335 ^ [_99394, _99550], set_type))], (339 ^ _88791) ^ [] : [-(member(335 ^ [_99394, _99550], _99394))], (341 ^ _88791) ^ [] : [member(335 ^ [_99394, _99550], _99550)]], -(subset(_99394, _99550))], (320 ^ _88791) ^ [] : [subset(_99394, _99550), 323 ^ _88791 : [(324 ^ _88791) ^ [_99809] : [ilf_type(_99809, set_type), member(_99809, _99394), -(member(_99809, _99550))]]]]]]], (345 ^ _88791) ^ [_100469] : [ilf_type(_100469, set_type), 348 ^ _88791 : [(349 ^ _88791) ^ [_100605] : [ilf_type(_100605, set_type), -(ilf_type(cross_product(_100469, _100605), set_type))]]], (355 ^ _88791) ^ [_100814] : [ilf_type(_100814, set_type), 358 ^ _88791 : [(359 ^ _88791) ^ [_100950] : [ilf_type(_100950, set_type), -(ilf_type(ordered_pair(_100814, _100950), set_type))]]], (365 ^ _88791) ^ [_101159] : [ilf_type(_101159, set_type), 368 ^ _88791 : [(369 ^ _88791) ^ [_101304] : [ilf_type(_101304, set_type), 372 ^ _88791 : [(373 ^ _88791) ^ [] : [ilf_type(_101304, subset_type(_101159)), -(ilf_type(_101304, member_type(power_set(_101159))))], (379 ^ _88791) ^ [] : [ilf_type(_101304, member_type(power_set(_101159))), -(ilf_type(_101304, subset_type(_101159)))]]]]], (385 ^ _88791) ^ [_101775] : [ilf_type(_101775, set_type), -(ilf_type(388 ^ [_101775], subset_type(_101775)))], (392 ^ _88791) ^ [_102022] : [ilf_type(_102022, set_type), -(subset(_102022, _102022))], (398 ^ _88791) ^ [_102212] : [ilf_type(_102212, set_type), 401 ^ _88791 : [(402 ^ _88791) ^ [] : [relation_like(_102212), 405 ^ _88791 : [(406 ^ _88791) ^ [_102484] : [ilf_type(_102484, set_type), member(_102484, _102212), 414 ^ _88791 : [(415 ^ _88791) ^ [] : [-(ilf_type(413 ^ [_102212, _102484], set_type))], (418 ^ _88791) ^ [] : [-(ilf_type(416 ^ [_102212, _102484], set_type))], (420 ^ _88791) ^ [] : [-(_102484 = ordered_pair(413 ^ [_102212, _102484], 416 ^ [_102212, _102484]))]]]]], (422 ^ _88791) ^ [] : [-(relation_like(_102212)), 424 ^ _88791 : [(425 ^ _88791) ^ [] : [-(ilf_type(423 ^ [_102212], set_type))], (427 ^ _88791) ^ [] : [-(member(423 ^ [_102212], _102212))], (429 ^ _88791) ^ [_103323] : [ilf_type(_103323, set_type), 432 ^ _88791 : [(433 ^ _88791) ^ [_103470] : [ilf_type(_103470, set_type), 423 ^ [_102212] = ordered_pair(_103323, _103470)]]]]]]], (441 ^ _88791) ^ [_103755] : [ilf_type(_103755, set_type), 444 ^ _88791 : [(445 ^ _88791) ^ [_103903] : [ilf_type(_103903, set_type), 448 ^ _88791 : [(449 ^ _88791) ^ [_104046] : [ilf_type(_104046, subset_type(cross_product(_103755, _103903))), -(relation_like(_104046))]]]]], (455 ^ _88791) ^ [_104270] : [ilf_type(_104270, set_type), 458 ^ _88791 : [(459 ^ _88791) ^ [_104428] : [ilf_type(_104428, set_type), 462 ^ _88791 : [(477 ^ _88791) ^ [] : [479 ^ _88791 : [(480 ^ _88791) ^ [] : [-(ilf_type(478 ^ [_104270, _104428], set_type))], (482 ^ _88791) ^ [] : [-(member(478 ^ [_104270, _104428], _104270))], (484 ^ _88791) ^ [] : [member(478 ^ [_104270, _104428], _104428)]], -(member(_104270, power_set(_104428)))], (463 ^ _88791) ^ [] : [member(_104270, power_set(_104428)), 466 ^ _88791 : [(467 ^ _88791) ^ [_104691] : [ilf_type(_104691, set_type), member(_104691, _104270), -(member(_104691, _104428))]]]]]]], (488 ^ _88791) ^ [_105353] : [ilf_type(_105353, set_type), 491 ^ _88791 : [(492 ^ _88791) ^ [] : [empty(power_set(_105353))], (494 ^ _88791) ^ [] : [-(ilf_type(power_set(_105353), set_type))]]], (496 ^ _88791) ^ [_105623] : [ilf_type(_105623, set_type), 499 ^ _88791 : [(500 ^ _88791) ^ [_105771] : [-(empty(_105771)), ilf_type(_105771, set_type), 507 ^ _88791 : [(508 ^ _88791) ^ [] : [ilf_type(_105623, member_type(_105771)), -(member(_105623, _105771))], (514 ^ _88791) ^ [] : [member(_105623, _105771), -(ilf_type(_105623, member_type(_105771)))]]]]], (520 ^ _88791) ^ [_106322] : [-(ilf_type(527 ^ [_106322], member_type(_106322))), -(empty(_106322)), ilf_type(_106322, set_type)], (564 ^ _88791) ^ [_107594] : [-(ilf_type(_107594, set_type))], (554 ^ _88791) ^ [_107358] : [-(relation_like(_107358)), empty(_107358), ilf_type(_107358, set_type)], (531 ^ _88791) ^ [_106655] : [ilf_type(_106655, set_type), 534 ^ _88791 : [(545 ^ _88791) ^ [] : [547 ^ _88791 : [(548 ^ _88791) ^ [] : [-(ilf_type(546 ^ [_106655], set_type))], (550 ^ _88791) ^ [] : [-(member(546 ^ [_106655], _106655))]], -(empty(_106655))], (535 ^ _88791) ^ [] : [empty(_106655), 538 ^ _88791 : [(539 ^ _88791) ^ [_106898] : [ilf_type(_106898, set_type), member(_106898, _106655)]]]]]], input).
% 138.15/133.76 ncf('1',plain,[ilf_type(568 ^ [], relation_type(domain_of(568 ^ []), 565 ^ []))],start(574 ^ 0)).
% 138.15/133.76 ncf('1.1',plain,[-(ilf_type(568 ^ [], relation_type(domain_of(568 ^ []), 565 ^ []))), 198 : ilf_type(568 ^ [], subset_type(cross_product(domain_of(568 ^ []), 565 ^ []))), 198 : ilf_type(565 ^ [], set_type), 194 : ilf_type(domain_of(568 ^ []), set_type)],extension(190 ^ 1,bind([[_95292, _95469, _95661], [domain_of(568 ^ []), 565 ^ [], 568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1',plain,[-(ilf_type(568 ^ [], subset_type(cross_product(domain_of(568 ^ []), 565 ^ [])))), 379 : ilf_type(568 ^ [], member_type(power_set(cross_product(domain_of(568 ^ []), 565 ^ [])))), 379 : ilf_type(568 ^ [], set_type), 369 : ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)],extension(365 ^ 6,bind([[_101159, _101304], [cross_product(domain_of(568 ^ []), 565 ^ []), 568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1',plain,[-(ilf_type(568 ^ [], member_type(power_set(cross_product(domain_of(568 ^ []), 565 ^ []))))), 514 : member(568 ^ [], power_set(cross_product(domain_of(568 ^ []), 565 ^ []))), 514 : -(empty(power_set(cross_product(domain_of(568 ^ []), 565 ^ [])))), 514 : ilf_type(power_set(cross_product(domain_of(568 ^ []), 565 ^ [])), set_type), 500 : ilf_type(568 ^ [], set_type)],extension(496 ^ 11,bind([[_105623, _105771], [568 ^ [], power_set(cross_product(domain_of(568 ^ []), 565 ^ []))]]))).
% 138.15/133.76 ncf('1.1.1.1.1',plain,[-(member(568 ^ [], power_set(cross_product(domain_of(568 ^ []), 565 ^ [])))), 480 : -(ilf_type(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], set_type)), 477 : ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type), 459 : ilf_type(568 ^ [], set_type)],extension(455 ^ 16,bind([[_104270, _104428], [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1',plain,[ilf_type(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], set_type), 324 : member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ []), 324 : -(member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 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([[_99394, _99550, _99809], [568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])), 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ [])), member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ []), 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])] = 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ [] = 568 ^ []],extension(20 ^ 30,bind([[_89587, _89589, _89591, _89593], [568 ^ [], 568 ^ [], 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ [])), member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ []), 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])] = 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ [] = 568 ^ []],extension(20 ^ 31,bind([[_89587, _89589, _89591, _89593], [568 ^ [], 568 ^ [], 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.1.1',plain,[-(member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], 568 ^ []))],extension(482 ^ 32)).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.1.2',plain,[-(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])] = 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])])],extension(2 ^ 32,bind([[_88935], [478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.1.3',plain,[-(568 ^ [] = 568 ^ [])],extension(2 ^ 32,bind([[_88935], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.2',plain,[-(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])] = 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])])],extension(2 ^ 31,bind([[_88935], [478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.1.3',plain,[-(568 ^ [] = 568 ^ [])],extension(2 ^ 31,bind([[_88935], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2',plain,[member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], cross_product(domain_of(568 ^ []), range_of(568 ^ []))), 324 : ilf_type(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], set_type), 324 : -(member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], cross_product(domain_of(568 ^ []), 565 ^ []))), 324 : subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), 565 ^ [])), 320 : ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type), 316 : ilf_type(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), set_type)],extension(312 ^ 30,bind([[_99394, _99550, _99809], [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), 565 ^ []), 478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])]]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.1',plain,[-(ilf_type(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], set_type))],reduction('1.1.1.1.1')).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.2',plain,[member(478 ^ [568 ^ [], cross_product(domain_of(568 ^ []), 565 ^ [])], cross_product(domain_of(568 ^ []), 565 ^ []))],extension(484 ^ 37)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3',plain,[-(subset(cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), 565 ^ []))), 178 : ilf_type(domain_of(568 ^ []), set_type), 178 : subset(range_of(568 ^ []), 565 ^ []), 178 : ilf_type(565 ^ [], set_type), 174 : ilf_type(range_of(568 ^ []), set_type)],extension(170 ^ 35,bind([[_94551, _94719, _94882], [range_of(568 ^ []), 565 ^ [], domain_of(568 ^ [])]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.1',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 40,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 41)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.2',plain,[-(subset(range_of(568 ^ []), 565 ^ []))],extension(572 ^ 40)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.3',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 38)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.4',plain,[-(ilf_type(range_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(281 ^ 36,bind([[_98531], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.3.4.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 37)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.4',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)), 349 : ilf_type(565 ^ [], set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 33,bind([[_100469, _100605], [domain_of(568 ^ []), 565 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.4.1',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 36)).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.4.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 34,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.4.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.15/133.76 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([[_100469, _100605], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.15/133.76 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([[_98531], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.5.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.15/133.76 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([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.2.5.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 33)).
% 138.15/133.76 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([[_93638, _93794, _93945], [568 ^ [], cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))]]))).
% 138.15/133.76 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([[_100469, _100605], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.15/133.76 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([[_98531], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.1.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 37)).
% 138.15/133.76 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([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.1.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.15/133.76 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([[_94347], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 34)).
% 138.15/133.76 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([[_99394, _99550], [cross_product(domain_of(568 ^ []), range_of(568 ^ [])), cross_product(domain_of(568 ^ []), range_of(568 ^ []))]]))).
% 138.15/133.76 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)).
% 138.15/133.76 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')).
% 138.15/133.76 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')).
% 138.15/133.76 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([[_100469, _100605], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.15/133.76 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([[_98531], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.4.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 35)).
% 138.15/133.76 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([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.4.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 33)).
% 138.15/133.76 ncf('1.1.1.1.1.1.3.5',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 29,bind([[_107594], [568 ^ []]]))).
% 138.15/133.76 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([[_100469, _100605], [domain_of(568 ^ []), range_of(568 ^ [])]]))).
% 138.15/133.76 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([[_98531], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.4.1.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 30)).
% 138.15/133.76 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([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.1.4.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 28)).
% 138.15/133.76 ncf('1.1.1.1.1.1.5',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 24,bind([[_107594], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.2',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)), 349 : ilf_type(565 ^ [], set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 19,bind([[_100469, _100605], [domain_of(568 ^ []), 565 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.2.1',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 22)).
% 138.15/133.76 ncf('1.1.1.1.1.2.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 20,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.1.2.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 21)).
% 138.15/133.76 ncf('1.1.1.1.1.3',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 17,bind([[_107594], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.2',plain,[empty(power_set(cross_product(domain_of(568 ^ []), 565 ^ []))), ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)],extension(488 ^ 14,bind([[_105353], [cross_product(domain_of(568 ^ []), 565 ^ [])]]))).
% 138.15/133.76 ncf('1.1.1.1.2.1',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)), 349 : ilf_type(565 ^ [], set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 15,bind([[_100469, _100605], [domain_of(568 ^ []), 565 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.2.1.1',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 18)).
% 138.15/133.76 ncf('1.1.1.1.2.1.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 16,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.2.1.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 17)).
% 138.15/133.76 ncf('1.1.1.1.3',plain,[-(ilf_type(power_set(cross_product(domain_of(568 ^ []), 565 ^ [])), set_type)), ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)],extension(488 ^ 14,bind([[_105353], [cross_product(domain_of(568 ^ []), 565 ^ [])]]))).
% 138.15/133.76 ncf('1.1.1.1.3.1',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)), 349 : ilf_type(565 ^ [], set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 15,bind([[_100469, _100605], [domain_of(568 ^ []), 565 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.3.1.1',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 18)).
% 138.15/133.76 ncf('1.1.1.1.3.1.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 16,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.1.3.1.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 17)).
% 138.15/133.76 ncf('1.1.1.1.4',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 12,bind([[_107594], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.2',plain,[-(ilf_type(568 ^ [], set_type))],extension(564 ^ 9,bind([[_107594], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.3',plain,[-(ilf_type(cross_product(domain_of(568 ^ []), 565 ^ []), set_type)), 349 : ilf_type(565 ^ [], set_type), 349 : ilf_type(domain_of(568 ^ []), set_type)],extension(345 ^ 7,bind([[_100469, _100605], [domain_of(568 ^ []), 565 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.3.1',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 10)).
% 138.15/133.76 ncf('1.1.1.3.2',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 8,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.1.3.2.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 9)).
% 138.15/133.76 ncf('1.1.2',plain,[-(ilf_type(565 ^ [], set_type))],extension(567 ^ 4)).
% 138.15/133.76 ncf('1.1.3',plain,[-(ilf_type(domain_of(568 ^ []), set_type)), ilf_type(568 ^ [], binary_relation_type)],extension(248 ^ 2,bind([[_97422], [568 ^ []]]))).
% 138.15/133.76 ncf('1.1.3.1',plain,[-(ilf_type(568 ^ [], binary_relation_type))],extension(570 ^ 3)).
% 138.15/133.76 %-----------------------------------------------------
% 138.15/133.76 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------