TSTP Solution File: SET811+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET811+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:56:28 EDT 2023
% Result : Theorem 5.38s 5.49s
% Output : Proof 5.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET811+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 19:00:16 EDT 2023
% 0.12/0.33 % CPUTime :
% 5.38/5.49
% 5.38/5.49 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 5.38/5.49 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.38/5.49 %-----------------------------------------------------
% 5.38/5.49 ncf(matrix, plain, [(612 ^ _80045) ^ [] : [-(member(610 ^ [], on))], (615 ^ _80045) ^ [] : [-(member(613 ^ [], 610 ^ []))], (617 ^ _80045) ^ [] : [equal_set(613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []))], (136 ^ _80045) ^ [_84546, _84548] : [_84548 = _84546, -(power_set(_84548) = power_set(_84546))], (142 ^ _80045) ^ [_84792, _84794, _84796, _84798] : [-(intersection(_84798, _84794) = intersection(_84796, _84792)), _84798 = _84796, _84794 = _84792], (152 ^ _80045) ^ [_85151, _85153, _85155, _85157] : [-(difference(_85157, _85153) = difference(_85155, _85151)), _85157 = _85155, _85153 = _85151], (162 ^ _80045) ^ [_85510, _85512, _85514, _85516] : [-(unordered_pair(_85516, _85512) = unordered_pair(_85514, _85510)), _85516 = _85514, _85512 = _85510], (172 ^ _80045) ^ [_85841, _85843] : [_85843 = _85841, -(sum(_85843) = sum(_85841))], (178 ^ _80045) ^ [_86059, _86061] : [_86061 = _86059, -(product(_86061) = product(_86059))], (184 ^ _80045) ^ [_86277, _86279] : [_86279 = _86277, -(suc(_86279) = suc(_86277))], (190 ^ _80045) ^ [_86523, _86525, _86527, _86529] : [-(union(_86529, _86525) = union(_86527, _86523)), _86529 = _86527, _86525 = _86523], (200 ^ _80045) ^ [_86854, _86856] : [_86856 = _86854, -(singleton(_86856) = singleton(_86854))], (206 ^ _80045) ^ [_87108, _87110, _87112, _87114, _87116, _87118] : [-(initial_segment(_87118, _87114, _87110) = initial_segment(_87116, _87112, _87108)), _87118 = _87116, _87114 = _87112, _87110 = _87108], (2 ^ _80045) ^ [_80189] : [-(_80189 = _80189)], (4 ^ _80045) ^ [_80296, _80298] : [_80298 = _80296, -(_80296 = _80298)], (10 ^ _80045) ^ [_80500, _80502, _80504] : [-(_80504 = _80500), _80504 = _80502, _80502 = _80500], (20 ^ _80045) ^ [_80841, _80843, _80845, _80847] : [-(strict_well_order(_80845, _80841)), strict_well_order(_80847, _80843), _80847 = _80845, _80843 = _80841], (34 ^ _80045) ^ [_81285, _81287, _81289, _81291] : [-(subset(_81289, _81285)), subset(_81291, _81287), _81291 = _81289, _81287 = _81285], (48 ^ _80045) ^ [_81757, _81759, _81761, _81763, _81765, _81767] : [-(least(_81765, _81761, _81757)), least(_81767, _81763, _81759), _81767 = _81765, _81763 = _81761, _81759 = _81757], (66 ^ _80045) ^ [_82338, _82340, _82342, _82344] : [-(strict_order(_82342, _82338)), strict_order(_82344, _82340), _82344 = _82342, _82340 = _82338], (80 ^ _80045) ^ [_82754, _82756] : [-(set(_82754)), _82756 = _82754, set(_82756)], (90 ^ _80045) ^ [_83105, _83107, _83109, _83111, _83113, _83115] : [-(apply(_83113, _83109, _83105)), apply(_83115, _83111, _83107), _83115 = _83113, _83111 = _83109, _83107 = _83105], (108 ^ _80045) ^ [_83686, _83688, _83690, _83692] : [-(member(_83690, _83686)), member(_83692, _83688), _83692 = _83690, _83688 = _83686], (122 ^ _80045) ^ [_84110, _84112, _84114, _84116] : [-(equal_set(_84114, _84110)), equal_set(_84116, _84112), _84116 = _84114, _84112 = _84110], (230 ^ _80045) ^ [_88001, _88003] : [232 ^ _80045 : [(233 ^ _80045) ^ [] : [-(member(231 ^ [_88001, _88003], _88003))], (235 ^ _80045) ^ [] : [member(231 ^ [_88001, _88003], _88001)]], -(subset(_88003, _88001))], (220 ^ _80045) ^ [_87687, _87689] : [subset(_87689, _87687), 223 ^ _80045 : [(224 ^ _80045) ^ [_87824] : [member(_87824, _87689), -(member(_87824, _87687))]]], (239 ^ _80045) ^ [_88387, _88389] : [equal_set(_88389, _88387), 242 ^ _80045 : [(243 ^ _80045) ^ [] : [-(subset(_88389, _88387))], (245 ^ _80045) ^ [] : [-(subset(_88387, _88389))]]], (247 ^ _80045) ^ [_88624, _88626] : [-(equal_set(_88626, _88624)), subset(_88626, _88624), subset(_88624, _88626)], (257 ^ _80045) ^ [_88954, _88956] : [member(_88956, power_set(_88954)), -(subset(_88956, _88954))], (263 ^ _80045) ^ [_89120, _89122] : [subset(_89122, _89120), -(member(_89122, power_set(_89120)))], (269 ^ _80045) ^ [_89379, _89381, _89383] : [member(_89383, intersection(_89381, _89379)), 272 ^ _80045 : [(273 ^ _80045) ^ [] : [-(member(_89383, _89381))], (275 ^ _80045) ^ [] : [-(member(_89383, _89379))]]], (277 ^ _80045) ^ [_89630, _89632, _89634] : [-(member(_89634, intersection(_89632, _89630))), member(_89634, _89632), member(_89634, _89630)], (297 ^ _80045) ^ [_90258, _90260, _90262] : [298 ^ _80045 : [(299 ^ _80045) ^ [] : [member(_90262, _90260)], (301 ^ _80045) ^ [] : [member(_90262, _90258)]], -(member(_90262, union(_90260, _90258)))], (287 ^ _80045) ^ [_89990, _89992, _89994] : [member(_89994, union(_89992, _89990)), -(member(_89994, _89992)), -(member(_89994, _89990))], (305 ^ _80045) ^ [_90528] : [member(_90528, empty_set)], (307 ^ _80045) ^ [_90678, _90680, _90682] : [member(_90682, difference(_90678, _90680)), 310 ^ _80045 : [(311 ^ _80045) ^ [] : [-(member(_90682, _90678))], (313 ^ _80045) ^ [] : [member(_90682, _90680)]]], (315 ^ _80045) ^ [_90930, _90932, _90934] : [-(member(_90934, difference(_90930, _90932))), member(_90934, _90930), -(member(_90934, _90932))], (325 ^ _80045) ^ [_91279, _91281] : [member(_91281, singleton(_91279)), -(_91281 = _91279)], (331 ^ _80045) ^ [_91445, _91447] : [_91447 = _91445, -(member(_91447, singleton(_91445)))], (347 ^ _80045) ^ [_91972, _91974, _91976] : [348 ^ _80045 : [(349 ^ _80045) ^ [] : [_91976 = _91974], (351 ^ _80045) ^ [] : [_91976 = _91972]], -(member(_91976, unordered_pair(_91974, _91972)))], (337 ^ _80045) ^ [_91704, _91706, _91708] : [member(_91708, unordered_pair(_91706, _91704)), -(_91708 = _91706), -(_91708 = _91704)], (355 ^ _80045) ^ [_92301, _92303] : [member(_92303, sum(_92301)), 359 ^ _80045 : [(360 ^ _80045) ^ [] : [-(member(358 ^ [_92301, _92303], _92301))], (362 ^ _80045) ^ [] : [-(member(_92303, 358 ^ [_92301, _92303]))]]], (364 ^ _80045) ^ [_92612, _92614] : [-(member(_92614, sum(_92612))), 365 ^ _80045 : [(366 ^ _80045) ^ [_92706] : [member(_92706, _92612), member(_92614, _92706)]]], (384 ^ _80045) ^ [_93307, _93309] : [386 ^ _80045 : [(387 ^ _80045) ^ [] : [-(member(385 ^ [_93307, _93309], _93307))], (389 ^ _80045) ^ [] : [member(_93309, 385 ^ [_93307, _93309])]], -(member(_93309, product(_93307)))], (374 ^ _80045) ^ [_92989, _92991] : [member(_92991, product(_92989)), 377 ^ _80045 : [(378 ^ _80045) ^ [_93130] : [member(_93130, _92989), -(member(_92991, _93130))]]], (393 ^ _80045) ^ [_93721] : [member(_93721, on), 396 ^ _80045 : [(397 ^ _80045) ^ [] : [-(set(_93721))], (399 ^ _80045) ^ [] : [-(strict_well_order(member_predicate, _93721))], (401 ^ _80045) ^ [_93992] : [member(_93992, _93721), -(subset(_93992, _93721))]]], (407 ^ _80045) ^ [_94165] : [-(member(_94165, on)), set(_94165), strict_well_order(member_predicate, _94165), 417 ^ _80045 : [(418 ^ _80045) ^ [] : [-(member(416 ^ [_94165], _94165))], (420 ^ _80045) ^ [] : [subset(416 ^ [_94165], _94165)]]], (441 ^ _80045) ^ [_95289, _95291] : [-(strict_well_order(_95291, _95289)), strict_order(_95291, _95289), 447 ^ _80045 : [(448 ^ _80045) ^ [] : [-(subset(446 ^ [_95289, _95291], _95289))], (451 ^ _80045) ^ [] : [-(member(449 ^ [_95289, _95291], 446 ^ [_95289, _95291]))], (453 ^ _80045) ^ [_95742] : [least(_95742, _95291, 446 ^ [_95289, _95291])]]], (424 ^ _80045) ^ [_94703, _94705] : [strict_well_order(_94705, _94703), 427 ^ _80045 : [(428 ^ _80045) ^ [] : [-(strict_order(_94705, _94703))], (430 ^ _80045) ^ [_94929] : [-(least(437 ^ [_94703, _94705, _94929], _94705, _94929)), subset(_94929, _94703), 435 ^ _80045 : [(436 ^ _80045) ^ [_95100] : [member(_95100, _94929)]]]]], (473 ^ _80045) ^ [_96476, _96478, _96480] : [-(least(_96476, _96480, _96478)), member(_96476, _96478), 479 ^ _80045 : [(480 ^ _80045) ^ [] : [-(member(478 ^ [_96476, _96478, _96480], _96478))], (482 ^ _80045) ^ [] : [_96476 = 478 ^ [_96476, _96478, _96480]], (484 ^ _80045) ^ [] : [apply(_96480, _96476, 478 ^ [_96476, _96478, _96480])]]], (457 ^ _80045) ^ [_95965, _95967, _95969] : [least(_95965, _95969, _95967), 460 ^ _80045 : [(461 ^ _80045) ^ [] : [-(member(_95965, _95967))], (463 ^ _80045) ^ [_96189] : [member(_96189, _95967), -(_95965 = _96189), -(apply(_95969, _95965, _96189))]]], (488 ^ _80045) ^ [_97066, _97068] : [apply(member_predicate, _97068, _97066), -(member(_97068, _97066))], (494 ^ _80045) ^ [_97230, _97232] : [member(_97232, _97230), -(apply(member_predicate, _97232, _97230))], (571 ^ _80045) ^ [_100249] : [set(_100249), 574 ^ _80045 : [(575 ^ _80045) ^ [_100379] : [member(_100379, _100249), -(set(_100379))]]], (599 ^ _80045) ^ [_101254, _101256] : [member(_101254, suc(_101256)), -(member(_101254, union(_101256, singleton(_101256))))], (605 ^ _80045) ^ [_101430, _101432] : [member(_101430, union(_101432, singleton(_101432))), -(member(_101430, suc(_101432)))], (581 ^ _80045) ^ [_100651, _100653, _100655, _100657] : [member(_100651, initial_segment(_100657, _100655, _100653)), 584 ^ _80045 : [(585 ^ _80045) ^ [] : [-(member(_100651, _100653))], (587 ^ _80045) ^ [] : [-(apply(_100655, _100651, _100657))]]], (589 ^ _80045) ^ [_100914, _100916, _100918, _100920] : [-(member(_100914, initial_segment(_100920, _100918, _100916))), member(_100914, _100916), apply(_100918, _100914, _100920)], (540 ^ _80045) ^ [_98745, _98747] : [-(strict_order(_98747, _98745)), 545 ^ _80045 : [(546 ^ _80045) ^ [] : [-(member(543 ^ [_98745, _98747], _98745))], (548 ^ _80045) ^ [] : [-(member(544 ^ [_98745, _98747], _98745))], (550 ^ _80045) ^ [] : [-(apply(_98747, 543 ^ [_98745, _98747], 544 ^ [_98745, _98747]))], (552 ^ _80045) ^ [] : [-(apply(_98747, 544 ^ [_98745, _98747], 543 ^ [_98745, _98747]))]], 556 ^ _80045 : [(557 ^ _80045) ^ [] : [-(member(553 ^ [_98745, _98747], _98745))], (559 ^ _80045) ^ [] : [-(member(554 ^ [_98745, _98747], _98745))], (561 ^ _80045) ^ [] : [-(member(555 ^ [_98745, _98747], _98745))], (563 ^ _80045) ^ [] : [-(apply(_98747, 553 ^ [_98745, _98747], 554 ^ [_98745, _98747]))], (565 ^ _80045) ^ [] : [-(apply(_98747, 554 ^ [_98745, _98747], 555 ^ [_98745, _98747]))], (567 ^ _80045) ^ [] : [apply(_98747, 553 ^ [_98745, _98747], 555 ^ [_98745, _98747])]]], (500 ^ _80045) ^ [_97473, _97475] : [strict_order(_97475, _97473), 503 ^ _80045 : [(504 ^ _80045) ^ [_97719, _97721] : [member(_97721, _97473), member(_97719, _97473), apply(_97475, _97721, _97719), apply(_97475, _97719, _97721)], (518 ^ _80045) ^ [_98140, _98142, _98144] : [member(_98144, _97473), member(_98142, _97473), member(_98140, _97473), -(apply(_97475, _98144, _98140)), apply(_97475, _98144, _98142), apply(_97475, _98142, _98140)]]]], input).
% 5.38/5.49 ncf('1',plain,[equal_set(613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []))],start(617 ^ 0)).
% 5.38/5.49 ncf('1.1',plain,[-(equal_set(613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []))), subset(613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])), subset(initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ [])],extension(247 ^ 1,bind([[_88624, _88626], [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []]]))).
% 5.38/5.49 ncf('1.1.1',plain,[-(subset(613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []))), 235 : member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], initial_segment(613 ^ [], member_predicate, 610 ^ []))],extension(230 ^ 2,bind([[_88001, _88003], [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []]]))).
% 5.38/5.49 ncf('1.1.1.1',plain,[-(member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], initial_segment(613 ^ [], member_predicate, 610 ^ []))), member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 610 ^ []), apply(member_predicate, 231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ [])],extension(589 ^ 5,bind([[_100914, _100916, _100918, _100920], [231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 610 ^ [], member_predicate, 613 ^ []]]))).
% 5.38/5.49 ncf('1.1.1.1.1',plain,[-(member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 610 ^ [])), 224 : member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ []), 224 : subset(613 ^ [], 610 ^ [])],extension(220 ^ 6,bind([[_87687, _87689, _87824], [610 ^ [], 613 ^ [], 231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []]]]))).
% 5.38/5.49 ncf('1.1.1.1.1.1',plain,[-(member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ []))],extension(233 ^ 9)).
% 5.38/5.49 ncf('1.1.1.1.1.2',plain,[-(subset(613 ^ [], 610 ^ [])), 401 : member(613 ^ [], 610 ^ []), 401 : member(610 ^ [], on)],extension(393 ^ 7,bind([[_93721, _93992], [610 ^ [], 613 ^ []]]))).
% 5.38/5.49 ncf('1.1.1.1.1.2.1',plain,[-(member(613 ^ [], 610 ^ []))],extension(615 ^ 10)).
% 5.38/5.49 ncf('1.1.1.1.1.2.2',plain,[-(member(610 ^ [], on))],extension(612 ^ 8)).
% 5.38/5.49 ncf('1.1.1.1.2',plain,[-(apply(member_predicate, 231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ [])), member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ [])],extension(494 ^ 6,bind([[_97230, _97232], [613 ^ [], 231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []]]]))).
% 5.38/5.49 ncf('1.1.1.1.2.1',plain,[-(member(231 ^ [initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []], 613 ^ []))],extension(233 ^ 7)).
% 5.38/5.49 ncf('1.1.2',plain,[-(subset(initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ [])), 233 : -(member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], initial_segment(613 ^ [], member_predicate, 610 ^ [])))],extension(230 ^ 2,bind([[_88001, _88003], [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])]]))).
% 5.38/5.49 ncf('1.1.2.1',plain,[member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], initial_segment(613 ^ [], member_predicate, 610 ^ [])), -(member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], intersection(initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ []))), member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ [])],extension(277 ^ 5,bind([[_89630, _89632, _89634], [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []), 231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])]]]))).
% 5.38/5.49 ncf('1.1.2.1.1',plain,[member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], intersection(initial_segment(613 ^ [], member_predicate, 610 ^ []), 613 ^ [])), 275 : -(member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ []))],extension(269 ^ 6,bind([[_89379, _89381, _89383], [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ []), 231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])]]]))).
% 5.38/5.49 ncf('1.1.2.1.1.1',plain,[member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ [])],extension(235 ^ 9)).
% 5.38/5.49 ncf('1.1.2.1.2',plain,[-(member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ [])), apply(member_predicate, 231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ [])],extension(488 ^ 6,bind([[_97066, _97068], [613 ^ [], 231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])]]]))).
% 5.38/5.49 ncf('1.1.2.1.2.1',plain,[-(apply(member_predicate, 231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 613 ^ [])), member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], initial_segment(613 ^ [], member_predicate, 610 ^ []))],extension(581 ^ 7,bind([[_100651, _100653, _100655, _100657], [231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], 610 ^ [], member_predicate, 613 ^ []]]))).
% 5.38/5.49 ncf('1.1.2.1.2.1.1',plain,[-(member(231 ^ [613 ^ [], initial_segment(613 ^ [], member_predicate, 610 ^ [])], initial_segment(613 ^ [], member_predicate, 610 ^ [])))],reduction('1.1.2')).
% 5.38/5.49 %-----------------------------------------------------
% 5.38/5.49 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------