TSTP Solution File: SET767+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:56:24 EDT 2023
% Result : Theorem 0.36s 1.38s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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 18:45:06 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.36/1.38
% 0.36/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.38 %-----------------------------------------------------
% 0.36/1.38 ncf(matrix, plain, [(641 ^ _79222) ^ [] : [-(equivalence(638 ^ [], 637 ^ []))], (643 ^ _79222) ^ [] : [subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [])], (136 ^ _79222) ^ [_83707, _83709] : [_83709 = _83707, -(power_set(_83709) = power_set(_83707))], (142 ^ _79222) ^ [_83953, _83955, _83957, _83959] : [-(intersection(_83959, _83955) = intersection(_83957, _83953)), _83959 = _83957, _83955 = _83953], (152 ^ _79222) ^ [_84312, _84314, _84316, _84318] : [-(union(_84318, _84314) = union(_84316, _84312)), _84318 = _84316, _84314 = _84312], (162 ^ _79222) ^ [_84671, _84673, _84675, _84677] : [-(difference(_84677, _84673) = difference(_84675, _84671)), _84677 = _84675, _84673 = _84671], (172 ^ _79222) ^ [_85002, _85004] : [_85004 = _85002, -(singleton(_85004) = singleton(_85002))], (178 ^ _79222) ^ [_85248, _85250, _85252, _85254] : [-(unordered_pair(_85254, _85250) = unordered_pair(_85252, _85248)), _85254 = _85252, _85250 = _85248], (188 ^ _79222) ^ [_85579, _85581] : [_85581 = _85579, -(sum(_85581) = sum(_85579))], (194 ^ _79222) ^ [_85797, _85799] : [_85799 = _85797, -(product(_85799) = product(_85797))], (200 ^ _79222) ^ [_86051, _86053, _86055, _86057, _86059, _86061] : [-(equivalence_class(_86061, _86057, _86053) = equivalence_class(_86059, _86055, _86051)), _86061 = _86059, _86057 = _86055, _86053 = _86051], (2 ^ _79222) ^ [_79366] : [-(_79366 = _79366)], (4 ^ _79222) ^ [_79473, _79475] : [_79475 = _79473, -(_79473 = _79475)], (10 ^ _79222) ^ [_79677, _79679, _79681] : [-(_79681 = _79677), _79681 = _79679, _79679 = _79677], (20 ^ _79222) ^ [_80018, _80020, _80022, _80024] : [-(equal_set(_80022, _80018)), equal_set(_80024, _80020), _80024 = _80022, _80020 = _80018], (34 ^ _79222) ^ [_80462, _80464, _80466, _80468] : [-(disjoint(_80466, _80462)), disjoint(_80468, _80464), _80468 = _80466, _80464 = _80462], (48 ^ _79222) ^ [_80906, _80908, _80910, _80912] : [-(partition(_80910, _80906)), partition(_80912, _80908), _80912 = _80910, _80908 = _80906], (62 ^ _79222) ^ [_81350, _81352, _81354, _81356] : [-(pre_order(_81354, _81350)), pre_order(_81356, _81352), _81356 = _81354, _81352 = _81350], (76 ^ _79222) ^ [_81794, _81796, _81798, _81800] : [-(member(_81798, _81794)), member(_81800, _81796), _81800 = _81798, _81796 = _81794], (90 ^ _79222) ^ [_82266, _82268, _82270, _82272, _82274, _82276] : [-(apply(_82274, _82270, _82266)), apply(_82276, _82272, _82268), _82276 = _82274, _82272 = _82270, _82268 = _82266], (108 ^ _79222) ^ [_82847, _82849, _82851, _82853] : [-(equivalence(_82851, _82847)), equivalence(_82853, _82849), _82853 = _82851, _82849 = _82847], (122 ^ _79222) ^ [_83271, _83273, _83275, _83277] : [-(subset(_83275, _83271)), subset(_83277, _83273), _83277 = _83275, _83273 = _83271], (224 ^ _79222) ^ [_86940, _86942] : [226 ^ _79222 : [(227 ^ _79222) ^ [] : [-(member(225 ^ [_86940, _86942], _86942))], (229 ^ _79222) ^ [] : [member(225 ^ [_86940, _86942], _86940)]], -(subset(_86942, _86940))], (214 ^ _79222) ^ [_86626, _86628] : [subset(_86628, _86626), 217 ^ _79222 : [(218 ^ _79222) ^ [_86763] : [member(_86763, _86628), -(member(_86763, _86626))]]], (233 ^ _79222) ^ [_87326, _87328] : [equal_set(_87328, _87326), 236 ^ _79222 : [(237 ^ _79222) ^ [] : [-(subset(_87328, _87326))], (239 ^ _79222) ^ [] : [-(subset(_87326, _87328))]]], (241 ^ _79222) ^ [_87563, _87565] : [-(equal_set(_87565, _87563)), subset(_87565, _87563), subset(_87563, _87565)], (251 ^ _79222) ^ [_87893, _87895] : [member(_87895, power_set(_87893)), -(subset(_87895, _87893))], (257 ^ _79222) ^ [_88059, _88061] : [subset(_88061, _88059), -(member(_88061, power_set(_88059)))], (263 ^ _79222) ^ [_88318, _88320, _88322] : [member(_88322, intersection(_88320, _88318)), 266 ^ _79222 : [(267 ^ _79222) ^ [] : [-(member(_88322, _88320))], (269 ^ _79222) ^ [] : [-(member(_88322, _88318))]]], (271 ^ _79222) ^ [_88569, _88571, _88573] : [-(member(_88573, intersection(_88571, _88569))), member(_88573, _88571), member(_88573, _88569)], (291 ^ _79222) ^ [_89197, _89199, _89201] : [292 ^ _79222 : [(293 ^ _79222) ^ [] : [member(_89201, _89199)], (295 ^ _79222) ^ [] : [member(_89201, _89197)]], -(member(_89201, union(_89199, _89197)))], (281 ^ _79222) ^ [_88929, _88931, _88933] : [member(_88933, union(_88931, _88929)), -(member(_88933, _88931)), -(member(_88933, _88929))], (299 ^ _79222) ^ [_89467] : [member(_89467, empty_set)], (301 ^ _79222) ^ [_89617, _89619, _89621] : [member(_89621, difference(_89617, _89619)), 304 ^ _79222 : [(305 ^ _79222) ^ [] : [-(member(_89621, _89617))], (307 ^ _79222) ^ [] : [member(_89621, _89619)]]], (309 ^ _79222) ^ [_89869, _89871, _89873] : [-(member(_89873, difference(_89869, _89871))), member(_89873, _89869), -(member(_89873, _89871))], (319 ^ _79222) ^ [_90218, _90220] : [member(_90220, singleton(_90218)), -(_90220 = _90218)], (325 ^ _79222) ^ [_90384, _90386] : [_90386 = _90384, -(member(_90386, singleton(_90384)))], (341 ^ _79222) ^ [_90911, _90913, _90915] : [342 ^ _79222 : [(343 ^ _79222) ^ [] : [_90915 = _90913], (345 ^ _79222) ^ [] : [_90915 = _90911]], -(member(_90915, unordered_pair(_90913, _90911)))], (331 ^ _79222) ^ [_90643, _90645, _90647] : [member(_90647, unordered_pair(_90645, _90643)), -(_90647 = _90645), -(_90647 = _90643)], (349 ^ _79222) ^ [_91240, _91242] : [member(_91242, sum(_91240)), 353 ^ _79222 : [(354 ^ _79222) ^ [] : [-(member(352 ^ [_91240, _91242], _91240))], (356 ^ _79222) ^ [] : [-(member(_91242, 352 ^ [_91240, _91242]))]]], (358 ^ _79222) ^ [_91551, _91553] : [-(member(_91553, sum(_91551))), 359 ^ _79222 : [(360 ^ _79222) ^ [_91645] : [member(_91645, _91551), member(_91553, _91645)]]], (378 ^ _79222) ^ [_92246, _92248] : [380 ^ _79222 : [(381 ^ _79222) ^ [] : [-(member(379 ^ [_92246, _92248], _92246))], (383 ^ _79222) ^ [] : [member(_92248, 379 ^ [_92246, _92248])]], -(member(_92248, product(_92246)))], (368 ^ _79222) ^ [_91928, _91930] : [member(_91930, product(_91928)), 371 ^ _79222 : [(372 ^ _79222) ^ [_92069] : [member(_92069, _91928), -(member(_91930, _92069))]]], (397 ^ _79222) ^ [_92989, _92991] : [399 ^ _79222 : [(400 ^ _79222) ^ [] : [-(member(398 ^ [_92989, _92991], _92991))], (402 ^ _79222) ^ [] : [-(member(398 ^ [_92989, _92991], _92989))]], -(disjoint(_92991, _92989))], (387 ^ _79222) ^ [_92674, _92676] : [disjoint(_92676, _92674), 390 ^ _79222 : [(391 ^ _79222) ^ [_92813] : [member(_92813, _92676), member(_92813, _92674)]]], (443 ^ _79222) ^ [_94716, _94718] : [-(partition(_94718, _94716)), 447 ^ _79222 : [(448 ^ _79222) ^ [] : [-(member(446 ^ [_94716, _94718], _94718))], (450 ^ _79222) ^ [] : [subset(446 ^ [_94716, _94718], _94716)]], 464 ^ _79222 : [(465 ^ _79222) ^ [] : [-(member(462 ^ [_94716, _94718], _94718))], (467 ^ _79222) ^ [] : [-(member(463 ^ [_94716, _94718], _94718))], (470 ^ _79222) ^ [] : [-(member(468 ^ [_94716, _94718], 462 ^ [_94716, _94718]))], (472 ^ _79222) ^ [] : [-(member(468 ^ [_94716, _94718], 463 ^ [_94716, _94718]))], (474 ^ _79222) ^ [] : [462 ^ [_94716, _94718] = 463 ^ [_94716, _94718]]], 454 ^ _79222 : [(455 ^ _79222) ^ [] : [-(member(453 ^ [_94716, _94718], _94716))], (457 ^ _79222) ^ [_95262] : [member(_95262, _94718), member(453 ^ [_94716, _94718], _95262)]]], (406 ^ _79222) ^ [_93378, _93380] : [partition(_93380, _93378), 409 ^ _79222 : [(410 ^ _79222) ^ [_93608] : [member(_93608, _93380), -(subset(_93608, _93378))], (416 ^ _79222) ^ [_93814] : [member(_93814, _93378), 420 ^ _79222 : [(421 ^ _79222) ^ [] : [-(member(419 ^ [_93378, _93380, _93814], _93380))], (423 ^ _79222) ^ [] : [-(member(_93814, 419 ^ [_93378, _93380, _93814]))]]], (425 ^ _79222) ^ [_94169, _94171] : [member(_94171, _93380), member(_94169, _93380), -(_94171 = _94169), 434 ^ _79222 : [(435 ^ _79222) ^ [_94459] : [member(_94459, _94171), member(_94459, _94169)]]]]], (524 ^ _79222) ^ [_97702, _97704] : [-(equivalence(_97702, _97704)), 528 ^ _79222 : [(529 ^ _79222) ^ [] : [-(member(527 ^ [_97702, _97704], _97704))], (531 ^ _79222) ^ [] : [apply(_97702, 527 ^ [_97702, _97704], 527 ^ [_97702, _97704])]], 536 ^ _79222 : [(537 ^ _79222) ^ [] : [-(member(534 ^ [_97702, _97704], _97704))], (539 ^ _79222) ^ [] : [-(member(535 ^ [_97702, _97704], _97704))], (541 ^ _79222) ^ [] : [-(apply(_97702, 534 ^ [_97702, _97704], 535 ^ [_97702, _97704]))], (543 ^ _79222) ^ [] : [apply(_97702, 535 ^ [_97702, _97704], 534 ^ [_97702, _97704])]], 547 ^ _79222 : [(548 ^ _79222) ^ [] : [-(member(544 ^ [_97702, _97704], _97704))], (550 ^ _79222) ^ [] : [-(member(545 ^ [_97702, _97704], _97704))], (552 ^ _79222) ^ [] : [-(member(546 ^ [_97702, _97704], _97704))], (554 ^ _79222) ^ [] : [-(apply(_97702, 544 ^ [_97702, _97704], 545 ^ [_97702, _97704]))], (556 ^ _79222) ^ [] : [-(apply(_97702, 545 ^ [_97702, _97704], 546 ^ [_97702, _97704]))], (558 ^ _79222) ^ [] : [apply(_97702, 544 ^ [_97702, _97704], 546 ^ [_97702, _97704])]]], (478 ^ _79222) ^ [_96205, _96207] : [equivalence(_96205, _96207), 481 ^ _79222 : [(482 ^ _79222) ^ [_96453] : [member(_96453, _96207), -(apply(_96205, _96453, _96453))], (488 ^ _79222) ^ [_96675, _96677] : [member(_96677, _96207), member(_96675, _96207), apply(_96205, _96677, _96675), -(apply(_96205, _96675, _96677))], (502 ^ _79222) ^ [_97095, _97097, _97099] : [member(_97099, _96207), member(_97097, _96207), member(_97095, _96207), -(apply(_96205, _97099, _97095)), apply(_96205, _97099, _97097), apply(_96205, _97097, _97095)]]], (562 ^ _79222) ^ [_99514, _99516, _99518, _99520] : [member(_99514, equivalence_class(_99516, _99518, _99520)), 565 ^ _79222 : [(566 ^ _79222) ^ [] : [-(member(_99514, _99518))], (568 ^ _79222) ^ [] : [-(apply(_99520, _99516, _99514))]]], (570 ^ _79222) ^ [_99777, _99779, _99781, _99783] : [-(member(_99777, equivalence_class(_99779, _99781, _99783))), member(_99777, _99781), apply(_99783, _99779, _99777)], (612 ^ _79222) ^ [_101150, _101152] : [-(pre_order(_101152, _101150)), 616 ^ _79222 : [(617 ^ _79222) ^ [] : [-(member(615 ^ [_101150, _101152], _101150))], (619 ^ _79222) ^ [] : [apply(_101152, 615 ^ [_101150, _101152], 615 ^ [_101150, _101152])]], 623 ^ _79222 : [(624 ^ _79222) ^ [] : [-(member(620 ^ [_101150, _101152], _101150))], (626 ^ _79222) ^ [] : [-(member(621 ^ [_101150, _101152], _101150))], (628 ^ _79222) ^ [] : [-(member(622 ^ [_101150, _101152], _101150))], (630 ^ _79222) ^ [] : [-(apply(_101152, 620 ^ [_101150, _101152], 621 ^ [_101150, _101152]))], (632 ^ _79222) ^ [] : [-(apply(_101152, 621 ^ [_101150, _101152], 622 ^ [_101150, _101152]))], (634 ^ _79222) ^ [] : [apply(_101152, 620 ^ [_101150, _101152], 622 ^ [_101150, _101152])]]], (580 ^ _79222) ^ [_100117, _100119] : [pre_order(_100119, _100117), 583 ^ _79222 : [(584 ^ _79222) ^ [_100329] : [member(_100329, _100117), -(apply(_100119, _100329, _100329))], (590 ^ _79222) ^ [_100545, _100547, _100549] : [member(_100549, _100117), member(_100547, _100117), member(_100545, _100117), -(apply(_100119, _100549, _100545)), apply(_100119, _100549, _100547), apply(_100119, _100547, _100545)]]]], input).
% 0.36/1.38 ncf('1',plain,[member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], difference(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [])), 307 : member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], 637 ^ [])],start(301 ^ 0,bind([[_89617, _89619, _89621], [equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [], 225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])]]]))).
% 0.36/1.38 ncf('1.1',plain,[-(member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], difference(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ []))), member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])), -(member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], 637 ^ []))],extension(309 ^ 1,bind([[_89869, _89871, _89873], [equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [], 225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])]]]))).
% 0.36/1.38 ncf('1.1.1',plain,[-(member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))), -(subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ []))],extension(224 ^ 2,bind([[_86940, _86942], [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])]]))).
% 0.36/1.38 ncf('1.1.1.1',plain,[subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [])],extension(643 ^ 3)).
% 0.36/1.38 ncf('1.1.2',plain,[member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], 637 ^ []), -(subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ []))],extension(224 ^ 2,bind([[_86940, _86942], [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])]]))).
% 0.36/1.38 ncf('1.1.2.1',plain,[subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [])],extension(643 ^ 3)).
% 0.36/1.38 ncf('1.2',plain,[-(member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], 637 ^ [])), member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))],extension(562 ^ 3,bind([[_99514, _99516, _99518, _99520], [225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], 639 ^ [], 637 ^ [], 638 ^ []]]))).
% 0.36/1.38 ncf('1.2.1',plain,[-(member(225 ^ [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))), -(subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ []))],extension(224 ^ 4,bind([[_86940, _86942], [637 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ [])]]))).
% 0.36/1.38 ncf('1.2.1.1',plain,[subset(equivalence_class(639 ^ [], 637 ^ [], 638 ^ []), 637 ^ [])],extension(643 ^ 5)).
% 0.36/1.38 %-----------------------------------------------------
% 0.36/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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