TSTP Solution File: SEU140+2 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:20 EDT 2023

% Result   : Theorem 0.41s 1.38s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEU140+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12  % 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 13:32:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.41/1.38  
% 0.41/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  ncf(matrix, plain, [(589 ^ _84709) ^ [] : [-(subset(585 ^ [], 586 ^ []))], (591 ^ _84709) ^ [] : [-(disjoint(586 ^ [], 587 ^ []))], (593 ^ _84709) ^ [] : [disjoint(585 ^ [], 587 ^ [])], (86 ^ _84709) ^ [_87570, _87572, _87574, _87576] : [-(set_difference(_87576, _87572) = set_difference(_87574, _87570)), _87576 = _87574, _87572 = _87570], (96 ^ _84709) ^ [_87929, _87931, _87933, _87935] : [-(set_intersection2(_87935, _87931) = set_intersection2(_87933, _87929)), _87935 = _87933, _87931 = _87929], (106 ^ _84709) ^ [_88268, _88270, _88272, _88274] : [-(set_union2(_88274, _88270) = set_union2(_88272, _88268)), _88274 = _88272, _88270 = _88268], (2 ^ _84709) ^ [_84853] : [-(_84853 = _84853)], (4 ^ _84709) ^ [_84960, _84962] : [_84962 = _84960, -(_84960 = _84962)], (10 ^ _84709) ^ [_85164, _85166, _85168] : [-(_85168 = _85164), _85168 = _85166, _85166 = _85164], (20 ^ _84709) ^ [_85505, _85507, _85509, _85511] : [-(proper_subset(_85509, _85505)), proper_subset(_85511, _85507), _85511 = _85509, _85507 = _85505], (34 ^ _84709) ^ [_85949, _85951, _85953, _85955] : [-(in(_85953, _85949)), in(_85955, _85951), _85955 = _85953, _85951 = _85949], (48 ^ _84709) ^ [_86365, _86367] : [-(empty(_86365)), _86367 = _86365, empty(_86367)], (58 ^ _84709) ^ [_86688, _86690, _86692, _86694] : [-(subset(_86692, _86688)), subset(_86694, _86690), _86694 = _86692, _86690 = _86688], (72 ^ _84709) ^ [_87112, _87114, _87116, _87118] : [-(disjoint(_87116, _87112)), disjoint(_87118, _87114), _87118 = _87116, _87114 = _87112], (116 ^ _84709) ^ [_88609, _88611] : [in(_88611, _88609), in(_88609, _88611)], (122 ^ _84709) ^ [_88820, _88822] : [proper_subset(_88822, _88820), proper_subset(_88820, _88822)], (128 ^ _84709) ^ [_89016, _89018] : [-(set_union2(_89018, _89016) = set_union2(_89016, _89018))], (130 ^ _84709) ^ [_89116, _89118] : [-(set_intersection2(_89118, _89116) = set_intersection2(_89116, _89118))], (132 ^ _84709) ^ [_89260, _89262] : [_89262 = _89260, 135 ^ _84709 : [(136 ^ _84709) ^ [] : [-(subset(_89262, _89260))], (138 ^ _84709) ^ [] : [-(subset(_89260, _89262))]]], (140 ^ _84709) ^ [_89497, _89499] : [-(_89499 = _89497), subset(_89499, _89497), subset(_89497, _89499)], (150 ^ _84709) ^ [_89813] : [_89813 = empty_set, 153 ^ _84709 : [(154 ^ _84709) ^ [_89926] : [in(_89926, _89813)]]], (156 ^ _84709) ^ [_89992] : [-(in(157 ^ [_89992], _89992)), -(_89992 = empty_set)], (185 ^ _84709) ^ [_91022, _91024, _91026] : [-(_91022 = set_union2(_91026, _91024)), 189 ^ _84709 : [(190 ^ _84709) ^ [] : [-(in(186 ^ [_91022, _91024, _91026], _91022))], (192 ^ _84709) ^ [] : [in(186 ^ [_91022, _91024, _91026], _91026)], (194 ^ _84709) ^ [] : [in(186 ^ [_91022, _91024, _91026], _91024)]], 195 ^ _84709 : [(202 ^ _84709) ^ [] : [in(186 ^ [_91022, _91024, _91026], _91022)], (196 ^ _84709) ^ [] : [-(in(186 ^ [_91022, _91024, _91026], _91026)), -(in(186 ^ [_91022, _91024, _91026], _91024))]]], (163 ^ _84709) ^ [_90297, _90299, _90301] : [_90297 = set_union2(_90301, _90299), 166 ^ _84709 : [(177 ^ _84709) ^ [_90757] : [178 ^ _84709 : [(179 ^ _84709) ^ [] : [in(_90757, _90301)], (181 ^ _84709) ^ [] : [in(_90757, _90299)]], -(in(_90757, _90297))], (167 ^ _84709) ^ [_90479] : [in(_90479, _90297), -(in(_90479, _90301)), -(in(_90479, _90299))]]], (216 ^ _84709) ^ [_92116, _92118] : [218 ^ _84709 : [(219 ^ _84709) ^ [] : [-(in(217 ^ [_92116, _92118], _92118))], (221 ^ _84709) ^ [] : [in(217 ^ [_92116, _92118], _92116)]], -(subset(_92118, _92116))], (206 ^ _84709) ^ [_91802, _91804] : [subset(_91804, _91802), 209 ^ _84709 : [(210 ^ _84709) ^ [_91939] : [in(_91939, _91804), -(in(_91939, _91802))]]], (247 ^ _84709) ^ [_93241, _93243, _93245] : [-(_93241 = set_intersection2(_93245, _93243)), 259 ^ _84709 : [(260 ^ _84709) ^ [] : [-(in(248 ^ [_93241, _93243, _93245], _93245))], (262 ^ _84709) ^ [] : [-(in(248 ^ [_93241, _93243, _93245], _93243))], (264 ^ _84709) ^ [] : [in(248 ^ [_93241, _93243, _93245], _93241)]], 251 ^ _84709 : [(252 ^ _84709) ^ [] : [-(in(248 ^ [_93241, _93243, _93245], _93241))], (254 ^ _84709) ^ [] : [in(248 ^ [_93241, _93243, _93245], _93245), in(248 ^ [_93241, _93243, _93245], _93243)]]], (225 ^ _84709) ^ [_92516, _92518, _92520] : [_92516 = set_intersection2(_92520, _92518), 228 ^ _84709 : [(229 ^ _84709) ^ [_92698] : [in(_92698, _92516), 232 ^ _84709 : [(233 ^ _84709) ^ [] : [-(in(_92698, _92520))], (235 ^ _84709) ^ [] : [-(in(_92698, _92518))]]], (237 ^ _84709) ^ [_92957] : [-(in(_92957, _92516)), in(_92957, _92520), in(_92957, _92518)]]], (290 ^ _84709) ^ [_94768, _94770, _94772] : [-(_94768 = set_difference(_94772, _94770)), 302 ^ _84709 : [(303 ^ _84709) ^ [] : [-(in(291 ^ [_94768, _94770, _94772], _94772))], (305 ^ _84709) ^ [] : [in(291 ^ [_94768, _94770, _94772], _94770)], (307 ^ _84709) ^ [] : [in(291 ^ [_94768, _94770, _94772], _94768)]], 294 ^ _84709 : [(295 ^ _84709) ^ [] : [-(in(291 ^ [_94768, _94770, _94772], _94768))], (297 ^ _84709) ^ [] : [in(291 ^ [_94768, _94770, _94772], _94772), -(in(291 ^ [_94768, _94770, _94772], _94770))]]], (268 ^ _84709) ^ [_94037, _94039, _94041] : [_94037 = set_difference(_94041, _94039), 271 ^ _84709 : [(272 ^ _84709) ^ [_94221] : [in(_94221, _94037), 275 ^ _84709 : [(276 ^ _84709) ^ [] : [-(in(_94221, _94041))], (278 ^ _84709) ^ [] : [in(_94221, _94039)]]], (280 ^ _84709) ^ [_94481] : [-(in(_94481, _94037)), in(_94481, _94041), -(in(_94481, _94039))]]], (311 ^ _84709) ^ [_95554, _95556] : [disjoint(_95556, _95554), -(set_intersection2(_95556, _95554) = empty_set)], (317 ^ _84709) ^ [_95722, _95724] : [set_intersection2(_95724, _95722) = empty_set, -(disjoint(_95724, _95722))], (323 ^ _84709) ^ [_95969, _95971] : [proper_subset(_95971, _95969), 326 ^ _84709 : [(327 ^ _84709) ^ [] : [-(subset(_95971, _95969))], (329 ^ _84709) ^ [] : [_95971 = _95969]]], (331 ^ _84709) ^ [_96207, _96209] : [-(proper_subset(_96209, _96207)), subset(_96209, _96207), -(_96209 = _96207)], (341 ^ _84709) ^ [] : [true___, -(true___)], (347 ^ _84709) ^ [] : [true___, -(true___)], (353 ^ _84709) ^ [] : [true___, -(true___)], (359 ^ _84709) ^ [] : [true___, -(true___)], (365 ^ _84709) ^ [] : [-(empty(empty_set))], (367 ^ _84709) ^ [_97040, _97042] : [-(empty(_97042)), empty(set_union2(_97042, _97040))], (373 ^ _84709) ^ [_97256, _97258] : [-(empty(_97258)), empty(set_union2(_97256, _97258))], (379 ^ _84709) ^ [_97457, _97459] : [-(set_union2(_97459, _97459) = _97459)], (381 ^ _84709) ^ [_97554, _97556] : [-(set_intersection2(_97556, _97556) = _97556)], (383 ^ _84709) ^ [_97650, _97652] : [proper_subset(_97652, _97652)], (385 ^ _84709) ^ [_97788, _97790] : [set_difference(_97790, _97788) = empty_set, -(subset(_97790, _97788))], (391 ^ _84709) ^ [_97956, _97958] : [subset(_97958, _97956), -(set_difference(_97958, _97956) = empty_set)], (398 ^ _84709) ^ [] : [-(empty(396 ^ []))], (401 ^ _84709) ^ [] : [empty(399 ^ [])], (403 ^ _84709) ^ [_98338, _98340] : [-(subset(_98340, _98340))], (405 ^ _84709) ^ [_98447, _98449] : [disjoint(_98449, _98447), -(disjoint(_98447, _98449))], (411 ^ _84709) ^ [_98657, _98659] : [subset(_98659, _98657), -(set_union2(_98659, _98657) = _98657)], (417 ^ _84709) ^ [_98858, _98860] : [-(subset(set_intersection2(_98860, _98858), _98860))], (419 ^ _84709) ^ [_98984, _98986, _98988] : [-(subset(_98988, set_intersection2(_98986, _98984))), subset(_98988, _98986), subset(_98988, _98984)], (429 ^ _84709) ^ [_99270] : [-(set_union2(_99270, empty_set) = _99270)], (431 ^ _84709) ^ [_99394, _99396, _99398] : [-(subset(_99398, _99394)), subset(_99398, _99396), subset(_99396, _99394)], (441 ^ _84709) ^ [_99717, _99719, _99721] : [subset(_99721, _99719), -(subset(set_intersection2(_99721, _99717), set_intersection2(_99719, _99717)))], (447 ^ _84709) ^ [_99945, _99947] : [subset(_99947, _99945), -(set_intersection2(_99947, _99945) = _99947)], (453 ^ _84709) ^ [_100132] : [-(set_intersection2(_100132, empty_set) = empty_set)], (455 ^ _84709) ^ [_100242, _100244] : [-(_100244 = _100242), 459 ^ _84709 : [(460 ^ _84709) ^ [] : [-(in(456 ^ [_100242, _100244], _100244))], (462 ^ _84709) ^ [] : [in(456 ^ [_100242, _100244], _100242)]], 463 ^ _84709 : [(464 ^ _84709) ^ [] : [-(in(456 ^ [_100242, _100244], _100242))], (466 ^ _84709) ^ [] : [in(456 ^ [_100242, _100244], _100244)]]], (470 ^ _84709) ^ [_100743] : [-(subset(empty_set, _100743))], (472 ^ _84709) ^ [_100864, _100866, _100868] : [subset(_100868, _100866), -(subset(set_difference(_100868, _100864), set_difference(_100866, _100864)))], (478 ^ _84709) ^ [_101077, _101079] : [-(subset(set_difference(_101079, _101077), _101079))], (480 ^ _84709) ^ [_101218, _101220] : [set_difference(_101220, _101218) = empty_set, -(subset(_101220, _101218))], (486 ^ _84709) ^ [_101386, _101388] : [subset(_101388, _101386), -(set_difference(_101388, _101386) = empty_set)], (492 ^ _84709) ^ [_101589, _101591] : [-(set_union2(_101591, set_difference(_101589, _101591)) = set_union2(_101591, _101589))], (494 ^ _84709) ^ [_101678] : [-(set_difference(_101678, empty_set) = _101678)], (496 ^ _84709) ^ [_101808, _101810] : [-(disjoint(_101810, _101808)), 500 ^ _84709 : [(501 ^ _84709) ^ [] : [-(in(499 ^ [_101808, _101810], _101810))], (503 ^ _84709) ^ [] : [-(in(499 ^ [_101808, _101810], _101808))]]], (505 ^ _84709) ^ [_102122, _102124] : [disjoint(_102124, _102122), 506 ^ _84709 : [(507 ^ _84709) ^ [_102214] : [in(_102214, _102124), in(_102214, _102122)]]], (515 ^ _84709) ^ [_102471] : [subset(_102471, empty_set), -(_102471 = empty_set)], (521 ^ _84709) ^ [_102660, _102662] : [-(set_difference(set_union2(_102662, _102660), _102660) = set_difference(_102662, _102660))], (523 ^ _84709) ^ [_102778, _102780] : [subset(_102780, _102778), -(_102778 = set_union2(_102780, set_difference(_102778, _102780)))], (529 ^ _84709) ^ [_102985, _102987] : [-(set_difference(_102987, set_difference(_102987, _102985)) = set_intersection2(_102987, _102985))], (531 ^ _84709) ^ [_103074] : [-(set_difference(empty_set, _103074) = empty_set)], (533 ^ _84709) ^ [_103204, _103206] : [-(disjoint(_103206, _103204)), -(in(536 ^ [_103204, _103206], set_intersection2(_103206, _103204)))], (540 ^ _84709) ^ [_103439, _103441] : [541 ^ _84709 : [(542 ^ _84709) ^ [_103512] : [in(_103512, set_intersection2(_103441, _103439))]], disjoint(_103441, _103439)], (546 ^ _84709) ^ [_103678, _103680] : [subset(_103680, _103678), proper_subset(_103678, _103680)], (552 ^ _84709) ^ [_103873] : [empty(_103873), -(_103873 = empty_set)], (558 ^ _84709) ^ [_104075, _104077] : [in(_104077, _104075), empty(_104075)], (564 ^ _84709) ^ [_104267, _104269] : [-(subset(_104269, set_union2(_104269, _104267)))], (566 ^ _84709) ^ [_104379, _104381] : [empty(_104381), -(_104381 = _104379), empty(_104379)], (576 ^ _84709) ^ [_104670, _104672, _104674] : [-(subset(set_union2(_104674, _104670), _104672)), subset(_104674, _104672), subset(_104670, _104672)]], input).
% 0.41/1.38  ncf('1',plain,[disjoint(586 ^ [], 587 ^ []), 507 : in(499 ^ [587 ^ [], 585 ^ []], 586 ^ []), 507 : in(499 ^ [587 ^ [], 585 ^ []], 587 ^ [])],start(505 ^ 0,bind([[_102122, _102124, _102214], [587 ^ [], 586 ^ [], 499 ^ [587 ^ [], 585 ^ []]]]))).
% 0.41/1.38  ncf('1.1',plain,[-(disjoint(586 ^ [], 587 ^ []))],extension(591 ^ 1)).
% 0.41/1.38  ncf('1.2',plain,[-(in(499 ^ [587 ^ [], 585 ^ []], 586 ^ [])), 179 : in(499 ^ [587 ^ [], 585 ^ []], 585 ^ []), 177 : 586 ^ [] = set_union2(585 ^ [], set_difference(586 ^ [], 585 ^ []))],extension(163 ^ 3,bind([[_90297, _90299, _90301, _90757], [586 ^ [], set_difference(586 ^ [], 585 ^ []), 585 ^ [], 499 ^ [587 ^ [], 585 ^ []]]]))).
% 0.41/1.38  ncf('1.2.1',plain,[-(in(499 ^ [587 ^ [], 585 ^ []], 585 ^ [])), -(disjoint(585 ^ [], 587 ^ []))],extension(496 ^ 8,bind([[_101808, _101810], [587 ^ [], 585 ^ []]]))).
% 0.41/1.38  ncf('1.2.1.1',plain,[disjoint(585 ^ [], 587 ^ [])],extension(593 ^ 9)).
% 0.41/1.38  ncf('1.2.2',plain,[-(586 ^ [] = set_union2(585 ^ [], set_difference(586 ^ [], 585 ^ []))), subset(585 ^ [], 586 ^ [])],extension(523 ^ 4,bind([[_102778, _102780], [586 ^ [], 585 ^ []]]))).
% 0.41/1.38  ncf('1.2.2.1',plain,[-(subset(585 ^ [], 586 ^ []))],extension(589 ^ 5)).
% 0.41/1.38  ncf('1.3',plain,[-(in(499 ^ [587 ^ [], 585 ^ []], 587 ^ [])), -(disjoint(585 ^ [], 587 ^ []))],extension(496 ^ 3,bind([[_101808, _101810], [587 ^ [], 585 ^ []]]))).
% 0.41/1.38  ncf('1.3.1',plain,[disjoint(585 ^ [], 587 ^ [])],extension(593 ^ 4)).
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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