TSTP Solution File: SET766+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 0.31s 1.34s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.11 % Command : nanocop.sh %s %d
% 0.12/0.30 % Computer : n019.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Thu May 18 19:01:27 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.31/1.34
% 0.31/1.34 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.34 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.34 %-----------------------------------------------------
% 0.31/1.34 ncf(matrix, plain, [(641 ^ _78752) ^ [] : [-(equivalence(638 ^ [], 637 ^ []))], (643 ^ _78752) ^ [] : [-(member(639 ^ [], 637 ^ []))], (645 ^ _78752) ^ [] : [member(639 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))], (136 ^ _78752) ^ [_83237, _83239] : [_83239 = _83237, -(power_set(_83239) = power_set(_83237))], (142 ^ _78752) ^ [_83483, _83485, _83487, _83489] : [-(intersection(_83489, _83485) = intersection(_83487, _83483)), _83489 = _83487, _83485 = _83483], (152 ^ _78752) ^ [_83842, _83844, _83846, _83848] : [-(union(_83848, _83844) = union(_83846, _83842)), _83848 = _83846, _83844 = _83842], (162 ^ _78752) ^ [_84201, _84203, _84205, _84207] : [-(difference(_84207, _84203) = difference(_84205, _84201)), _84207 = _84205, _84203 = _84201], (172 ^ _78752) ^ [_84532, _84534] : [_84534 = _84532, -(singleton(_84534) = singleton(_84532))], (178 ^ _78752) ^ [_84778, _84780, _84782, _84784] : [-(unordered_pair(_84784, _84780) = unordered_pair(_84782, _84778)), _84784 = _84782, _84780 = _84778], (188 ^ _78752) ^ [_85109, _85111] : [_85111 = _85109, -(sum(_85111) = sum(_85109))], (194 ^ _78752) ^ [_85327, _85329] : [_85329 = _85327, -(product(_85329) = product(_85327))], (200 ^ _78752) ^ [_85581, _85583, _85585, _85587, _85589, _85591] : [-(equivalence_class(_85591, _85587, _85583) = equivalence_class(_85589, _85585, _85581)), _85591 = _85589, _85587 = _85585, _85583 = _85581], (2 ^ _78752) ^ [_78896] : [-(_78896 = _78896)], (4 ^ _78752) ^ [_79003, _79005] : [_79005 = _79003, -(_79003 = _79005)], (10 ^ _78752) ^ [_79207, _79209, _79211] : [-(_79211 = _79207), _79211 = _79209, _79209 = _79207], (20 ^ _78752) ^ [_79548, _79550, _79552, _79554] : [-(equal_set(_79552, _79548)), equal_set(_79554, _79550), _79554 = _79552, _79550 = _79548], (34 ^ _78752) ^ [_79992, _79994, _79996, _79998] : [-(disjoint(_79996, _79992)), disjoint(_79998, _79994), _79998 = _79996, _79994 = _79992], (48 ^ _78752) ^ [_80436, _80438, _80440, _80442] : [-(partition(_80440, _80436)), partition(_80442, _80438), _80442 = _80440, _80438 = _80436], (62 ^ _78752) ^ [_80880, _80882, _80884, _80886] : [-(subset(_80884, _80880)), subset(_80886, _80882), _80886 = _80884, _80882 = _80880], (76 ^ _78752) ^ [_81324, _81326, _81328, _81330] : [-(pre_order(_81328, _81324)), pre_order(_81330, _81326), _81330 = _81328, _81326 = _81324], (90 ^ _78752) ^ [_81796, _81798, _81800, _81802, _81804, _81806] : [-(apply(_81804, _81800, _81796)), apply(_81806, _81802, _81798), _81806 = _81804, _81802 = _81800, _81798 = _81796], (108 ^ _78752) ^ [_82377, _82379, _82381, _82383] : [-(equivalence(_82381, _82377)), equivalence(_82383, _82379), _82383 = _82381, _82379 = _82377], (122 ^ _78752) ^ [_82801, _82803, _82805, _82807] : [-(member(_82805, _82801)), member(_82807, _82803), _82807 = _82805, _82803 = _82801], (224 ^ _78752) ^ [_86470, _86472] : [226 ^ _78752 : [(227 ^ _78752) ^ [] : [-(member(225 ^ [_86470, _86472], _86472))], (229 ^ _78752) ^ [] : [member(225 ^ [_86470, _86472], _86470)]], -(subset(_86472, _86470))], (214 ^ _78752) ^ [_86156, _86158] : [subset(_86158, _86156), 217 ^ _78752 : [(218 ^ _78752) ^ [_86293] : [member(_86293, _86158), -(member(_86293, _86156))]]], (233 ^ _78752) ^ [_86856, _86858] : [equal_set(_86858, _86856), 236 ^ _78752 : [(237 ^ _78752) ^ [] : [-(subset(_86858, _86856))], (239 ^ _78752) ^ [] : [-(subset(_86856, _86858))]]], (241 ^ _78752) ^ [_87093, _87095] : [-(equal_set(_87095, _87093)), subset(_87095, _87093), subset(_87093, _87095)], (251 ^ _78752) ^ [_87423, _87425] : [member(_87425, power_set(_87423)), -(subset(_87425, _87423))], (257 ^ _78752) ^ [_87589, _87591] : [subset(_87591, _87589), -(member(_87591, power_set(_87589)))], (263 ^ _78752) ^ [_87848, _87850, _87852] : [member(_87852, intersection(_87850, _87848)), 266 ^ _78752 : [(267 ^ _78752) ^ [] : [-(member(_87852, _87850))], (269 ^ _78752) ^ [] : [-(member(_87852, _87848))]]], (271 ^ _78752) ^ [_88099, _88101, _88103] : [-(member(_88103, intersection(_88101, _88099))), member(_88103, _88101), member(_88103, _88099)], (291 ^ _78752) ^ [_88727, _88729, _88731] : [292 ^ _78752 : [(293 ^ _78752) ^ [] : [member(_88731, _88729)], (295 ^ _78752) ^ [] : [member(_88731, _88727)]], -(member(_88731, union(_88729, _88727)))], (281 ^ _78752) ^ [_88459, _88461, _88463] : [member(_88463, union(_88461, _88459)), -(member(_88463, _88461)), -(member(_88463, _88459))], (299 ^ _78752) ^ [_88997] : [member(_88997, empty_set)], (301 ^ _78752) ^ [_89147, _89149, _89151] : [member(_89151, difference(_89147, _89149)), 304 ^ _78752 : [(305 ^ _78752) ^ [] : [-(member(_89151, _89147))], (307 ^ _78752) ^ [] : [member(_89151, _89149)]]], (309 ^ _78752) ^ [_89399, _89401, _89403] : [-(member(_89403, difference(_89399, _89401))), member(_89403, _89399), -(member(_89403, _89401))], (319 ^ _78752) ^ [_89748, _89750] : [member(_89750, singleton(_89748)), -(_89750 = _89748)], (325 ^ _78752) ^ [_89914, _89916] : [_89916 = _89914, -(member(_89916, singleton(_89914)))], (341 ^ _78752) ^ [_90441, _90443, _90445] : [342 ^ _78752 : [(343 ^ _78752) ^ [] : [_90445 = _90443], (345 ^ _78752) ^ [] : [_90445 = _90441]], -(member(_90445, unordered_pair(_90443, _90441)))], (331 ^ _78752) ^ [_90173, _90175, _90177] : [member(_90177, unordered_pair(_90175, _90173)), -(_90177 = _90175), -(_90177 = _90173)], (349 ^ _78752) ^ [_90770, _90772] : [member(_90772, sum(_90770)), 353 ^ _78752 : [(354 ^ _78752) ^ [] : [-(member(352 ^ [_90770, _90772], _90770))], (356 ^ _78752) ^ [] : [-(member(_90772, 352 ^ [_90770, _90772]))]]], (358 ^ _78752) ^ [_91081, _91083] : [-(member(_91083, sum(_91081))), 359 ^ _78752 : [(360 ^ _78752) ^ [_91175] : [member(_91175, _91081), member(_91083, _91175)]]], (378 ^ _78752) ^ [_91776, _91778] : [380 ^ _78752 : [(381 ^ _78752) ^ [] : [-(member(379 ^ [_91776, _91778], _91776))], (383 ^ _78752) ^ [] : [member(_91778, 379 ^ [_91776, _91778])]], -(member(_91778, product(_91776)))], (368 ^ _78752) ^ [_91458, _91460] : [member(_91460, product(_91458)), 371 ^ _78752 : [(372 ^ _78752) ^ [_91599] : [member(_91599, _91458), -(member(_91460, _91599))]]], (397 ^ _78752) ^ [_92519, _92521] : [399 ^ _78752 : [(400 ^ _78752) ^ [] : [-(member(398 ^ [_92519, _92521], _92521))], (402 ^ _78752) ^ [] : [-(member(398 ^ [_92519, _92521], _92519))]], -(disjoint(_92521, _92519))], (387 ^ _78752) ^ [_92204, _92206] : [disjoint(_92206, _92204), 390 ^ _78752 : [(391 ^ _78752) ^ [_92343] : [member(_92343, _92206), member(_92343, _92204)]]], (443 ^ _78752) ^ [_94246, _94248] : [-(partition(_94248, _94246)), 447 ^ _78752 : [(448 ^ _78752) ^ [] : [-(member(446 ^ [_94246, _94248], _94248))], (450 ^ _78752) ^ [] : [subset(446 ^ [_94246, _94248], _94246)]], 464 ^ _78752 : [(465 ^ _78752) ^ [] : [-(member(462 ^ [_94246, _94248], _94248))], (467 ^ _78752) ^ [] : [-(member(463 ^ [_94246, _94248], _94248))], (470 ^ _78752) ^ [] : [-(member(468 ^ [_94246, _94248], 462 ^ [_94246, _94248]))], (472 ^ _78752) ^ [] : [-(member(468 ^ [_94246, _94248], 463 ^ [_94246, _94248]))], (474 ^ _78752) ^ [] : [462 ^ [_94246, _94248] = 463 ^ [_94246, _94248]]], 454 ^ _78752 : [(455 ^ _78752) ^ [] : [-(member(453 ^ [_94246, _94248], _94246))], (457 ^ _78752) ^ [_94792] : [member(_94792, _94248), member(453 ^ [_94246, _94248], _94792)]]], (406 ^ _78752) ^ [_92908, _92910] : [partition(_92910, _92908), 409 ^ _78752 : [(410 ^ _78752) ^ [_93138] : [member(_93138, _92910), -(subset(_93138, _92908))], (416 ^ _78752) ^ [_93344] : [member(_93344, _92908), 420 ^ _78752 : [(421 ^ _78752) ^ [] : [-(member(419 ^ [_92908, _92910, _93344], _92910))], (423 ^ _78752) ^ [] : [-(member(_93344, 419 ^ [_92908, _92910, _93344]))]]], (425 ^ _78752) ^ [_93699, _93701] : [member(_93701, _92910), member(_93699, _92910), -(_93701 = _93699), 434 ^ _78752 : [(435 ^ _78752) ^ [_93989] : [member(_93989, _93701), member(_93989, _93699)]]]]], (524 ^ _78752) ^ [_97232, _97234] : [-(equivalence(_97232, _97234)), 528 ^ _78752 : [(529 ^ _78752) ^ [] : [-(member(527 ^ [_97232, _97234], _97234))], (531 ^ _78752) ^ [] : [apply(_97232, 527 ^ [_97232, _97234], 527 ^ [_97232, _97234])]], 536 ^ _78752 : [(537 ^ _78752) ^ [] : [-(member(534 ^ [_97232, _97234], _97234))], (539 ^ _78752) ^ [] : [-(member(535 ^ [_97232, _97234], _97234))], (541 ^ _78752) ^ [] : [-(apply(_97232, 534 ^ [_97232, _97234], 535 ^ [_97232, _97234]))], (543 ^ _78752) ^ [] : [apply(_97232, 535 ^ [_97232, _97234], 534 ^ [_97232, _97234])]], 547 ^ _78752 : [(548 ^ _78752) ^ [] : [-(member(544 ^ [_97232, _97234], _97234))], (550 ^ _78752) ^ [] : [-(member(545 ^ [_97232, _97234], _97234))], (552 ^ _78752) ^ [] : [-(member(546 ^ [_97232, _97234], _97234))], (554 ^ _78752) ^ [] : [-(apply(_97232, 544 ^ [_97232, _97234], 545 ^ [_97232, _97234]))], (556 ^ _78752) ^ [] : [-(apply(_97232, 545 ^ [_97232, _97234], 546 ^ [_97232, _97234]))], (558 ^ _78752) ^ [] : [apply(_97232, 544 ^ [_97232, _97234], 546 ^ [_97232, _97234])]]], (478 ^ _78752) ^ [_95735, _95737] : [equivalence(_95735, _95737), 481 ^ _78752 : [(482 ^ _78752) ^ [_95983] : [member(_95983, _95737), -(apply(_95735, _95983, _95983))], (488 ^ _78752) ^ [_96205, _96207] : [member(_96207, _95737), member(_96205, _95737), apply(_95735, _96207, _96205), -(apply(_95735, _96205, _96207))], (502 ^ _78752) ^ [_96625, _96627, _96629] : [member(_96629, _95737), member(_96627, _95737), member(_96625, _95737), -(apply(_95735, _96629, _96625)), apply(_95735, _96629, _96627), apply(_95735, _96627, _96625)]]], (562 ^ _78752) ^ [_99044, _99046, _99048, _99050] : [member(_99044, equivalence_class(_99046, _99048, _99050)), 565 ^ _78752 : [(566 ^ _78752) ^ [] : [-(member(_99044, _99048))], (568 ^ _78752) ^ [] : [-(apply(_99050, _99046, _99044))]]], (570 ^ _78752) ^ [_99307, _99309, _99311, _99313] : [-(member(_99307, equivalence_class(_99309, _99311, _99313))), member(_99307, _99311), apply(_99313, _99309, _99307)], (612 ^ _78752) ^ [_100680, _100682] : [-(pre_order(_100682, _100680)), 616 ^ _78752 : [(617 ^ _78752) ^ [] : [-(member(615 ^ [_100680, _100682], _100680))], (619 ^ _78752) ^ [] : [apply(_100682, 615 ^ [_100680, _100682], 615 ^ [_100680, _100682])]], 623 ^ _78752 : [(624 ^ _78752) ^ [] : [-(member(620 ^ [_100680, _100682], _100680))], (626 ^ _78752) ^ [] : [-(member(621 ^ [_100680, _100682], _100680))], (628 ^ _78752) ^ [] : [-(member(622 ^ [_100680, _100682], _100680))], (630 ^ _78752) ^ [] : [-(apply(_100682, 620 ^ [_100680, _100682], 621 ^ [_100680, _100682]))], (632 ^ _78752) ^ [] : [-(apply(_100682, 621 ^ [_100680, _100682], 622 ^ [_100680, _100682]))], (634 ^ _78752) ^ [] : [apply(_100682, 620 ^ [_100680, _100682], 622 ^ [_100680, _100682])]]], (580 ^ _78752) ^ [_99647, _99649] : [pre_order(_99649, _99647), 583 ^ _78752 : [(584 ^ _78752) ^ [_99859] : [member(_99859, _99647), -(apply(_99649, _99859, _99859))], (590 ^ _78752) ^ [_100075, _100077, _100079] : [member(_100079, _99647), member(_100077, _99647), member(_100075, _99647), -(apply(_99649, _100079, _100075)), apply(_99649, _100079, _100077), apply(_99649, _100077, _100075)]]]], input).
% 0.31/1.34 ncf('1',plain,[member(639 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))],start(645 ^ 0)).
% 0.31/1.34 ncf('1.1',plain,[-(member(639 ^ [], equivalence_class(639 ^ [], 637 ^ [], 638 ^ []))), member(639 ^ [], 637 ^ []), apply(638 ^ [], 639 ^ [], 639 ^ [])],extension(570 ^ 1,bind([[_99307, _99309, _99311, _99313], [639 ^ [], 639 ^ [], 637 ^ [], 638 ^ []]]))).
% 0.31/1.34 ncf('1.1.1',plain,[-(member(639 ^ [], 637 ^ []))],extension(643 ^ 2)).
% 0.31/1.34 ncf('1.1.2',plain,[-(apply(638 ^ [], 639 ^ [], 639 ^ [])), 482 : member(639 ^ [], 637 ^ []), 482 : equivalence(638 ^ [], 637 ^ [])],extension(478 ^ 2,bind([[_95735, _95737, _95983], [638 ^ [], 637 ^ [], 639 ^ []]]))).
% 0.31/1.34 ncf('1.1.2.1',plain,[-(member(639 ^ [], 637 ^ []))],extension(643 ^ 5)).
% 0.31/1.34 ncf('1.1.2.2',plain,[-(equivalence(638 ^ [], 637 ^ []))],extension(641 ^ 3)).
% 0.31/1.34 %-----------------------------------------------------
% 0.31/1.34 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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