TSTP Solution File: SEU131+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU131+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 12:02:18 EDT 2023
% Result : Theorem 43.68s 42.67s
% Output : Proof 43.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU131+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n031.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 13:00:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.68/42.67
% 43.68/42.67 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.68/42.67 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.68/42.67 %-----------------------------------------------------
% 43.68/42.67 ncf(matrix, plain, [(498 ^ _94891) ^ [] : [499 ^ _94891 : [(502 ^ _94891) ^ [] : [subset(495 ^ [], 496 ^ [])], (500 ^ _94891) ^ [] : [-(set_difference(495 ^ [], 496 ^ []) = empty_set)]], 503 ^ _94891 : [(506 ^ _94891) ^ [] : [set_difference(495 ^ [], 496 ^ []) = empty_set], (504 ^ _94891) ^ [] : [-(subset(495 ^ [], 496 ^ []))]]], !, (120 ^ _77661) ^ [_81772, _81774] : [-(_81774 = _81772), subset(_81774, _81772), subset(_81772, _81774)], (341 ^ _77661) ^ [_89161, _89163] : [-(set_union2(_89163, _89163) = _89163)], (343 ^ _77661) ^ [_89258, _89260] : [-(set_intersection2(_89260, _89260) = _89260)], (48 ^ _77661) ^ [_79297, _79299] : [-(empty(_79297)), _79299 = _79297, empty(_79299)], (462 ^ _77661) ^ [_93575] : [empty(_93575), -(_93575 = empty_set)], (346 ^ _77661) ^ [] : [-(empty(344 ^ []))], (227 ^ _77661) ^ [_85516, _85518, _85520] : [-(_85516 = set_intersection2(_85520, _85518)), 239 ^ _77661 : [(244 ^ _77661) ^ [] : [in(228 ^ [_85516, _85518, _85520], _85516)], (242 ^ _77661) ^ [] : [-(in(228 ^ [_85516, _85518, _85520], _85518))], (240 ^ _77661) ^ [] : [-(in(228 ^ [_85516, _85518, _85520], _85520))]], 231 ^ _77661 : [(234 ^ _77661) ^ [] : [in(228 ^ [_85516, _85518, _85520], _85520), in(228 ^ [_85516, _85518, _85520], _85518)], (232 ^ _77661) ^ [] : [-(in(228 ^ [_85516, _85518, _85520], _85516))]]], (449 ^ _77661) ^ [_93115, _93117] : [-(disjoint(_93117, _93115)), -(in(452 ^ [_93115, _93117], set_intersection2(_93117, _93115)))], (4 ^ _77661) ^ [_77892, _77894] : [_77894 = _77892, -(_77892 = _77894)], (130 ^ _77661) ^ [_82088] : [_82088 = empty_set, 133 ^ _77661 : [(134 ^ _77661) ^ [_82201] : [in(_82201, _82088)]]], (291 ^ _77661) ^ [_87829, _87831] : [disjoint(_87831, _87829), -(set_intersection2(_87831, _87829) = empty_set)], (20 ^ _77661) ^ [_78437, _78439, _78441, _78443] : [-(disjoint(_78441, _78437)), disjoint(_78443, _78439), _78443 = _78441, _78439 = _78437], (297 ^ _77661) ^ [_87997, _87999] : [set_intersection2(_87999, _87997) = empty_set, -(disjoint(_87999, _87997))], (329 ^ _77661) ^ [_88744, _88746] : [-(empty(_88746)), empty(set_union2(_88746, _88744))], (92 ^ _77661) ^ [_80754, _80756, _80758, _80760] : [-(set_difference(_80760, _80756) = set_difference(_80758, _80754)), _80760 = _80758, _80756 = _80754], (422 ^ _77661) ^ [_92147, _92149] : [-(disjoint(_92149, _92147)), 426 ^ _77661 : [(429 ^ _77661) ^ [] : [-(in(425 ^ [_92147, _92149], _92147))], (427 ^ _77661) ^ [] : [-(in(425 ^ [_92147, _92149], _92149))]]], (420 ^ _77661) ^ [_92017] : [-(set_difference(_92017, empty_set) = _92017)], (389 ^ _77661) ^ [_90913, _90915, _90917] : [subset(_90917, _90915), -(subset(set_intersection2(_90917, _90913), set_intersection2(_90915, _90913)))], (143 ^ _77661) ^ [_82572, _82574, _82576] : [_82572 = set_union2(_82576, _82574), 146 ^ _77661 : [(147 ^ _77661) ^ [_82754] : [in(_82754, _82572), -(in(_82754, _82576)), -(in(_82754, _82574))], (157 ^ _77661) ^ [_83032] : [158 ^ _77661 : [(161 ^ _77661) ^ [] : [in(_83032, _82574)], (159 ^ _77661) ^ [] : [in(_83032, _82576)]], -(in(_83032, _82572))]]], (441 ^ _77661) ^ [_92810] : [subset(_92810, empty_set), -(_92810 = empty_set)], (315 ^ _77661) ^ [] : [true___, -(true___)], (474 ^ _77661) ^ [_93969, _93971] : [-(subset(_93971, set_union2(_93971, _93969)))], (303 ^ _77661) ^ [] : [true___, -(true___)], (186 ^ _77661) ^ [_84077, _84079] : [subset(_84079, _84077), 189 ^ _77661 : [(190 ^ _77661) ^ [_84214] : [in(_84214, _84079), -(in(_84214, _84077))]]], (367 ^ _77661) ^ [_90180, _90182, _90184] : [-(subset(_90184, set_intersection2(_90182, _90180))), subset(_90184, _90182), subset(_90184, _90180)], (351 ^ _77661) ^ [_89534, _89536] : [-(subset(_89536, _89536))], (321 ^ _77661) ^ [] : [true___, -(true___)], (447 ^ _77661) ^ [_92985] : [-(set_difference(empty_set, _92985) = empty_set)], (72 ^ _77661) ^ [_80056, _80058, _80060, _80062] : [-(set_intersection2(_80062, _80058) = set_intersection2(_80060, _80056)), _80062 = _80060, _80058 = _80056], (58 ^ _77661) ^ [_79600, _79602, _79604, _79606] : [-(subset(_79604, _79600)), subset(_79606, _79602), _79606 = _79604, _79602 = _79600], (327 ^ _77661) ^ [] : [-(empty(empty_set))], (456 ^ _77661) ^ [_93350, _93352] : [457 ^ _77661 : [(458 ^ _77661) ^ [_93423] : [in(_93423, set_intersection2(_93352, _93350))]], disjoint(_93352, _93350)], (401 ^ _77661) ^ [_91328] : [-(set_intersection2(_91328, empty_set) = empty_set)], (136 ^ _77661) ^ [_82267] : [-(in(137 ^ [_82267], _82267)), -(_82267 = empty_set)], (309 ^ _77661) ^ [] : [true___, -(true___)], (476 ^ _77661) ^ [_94081, _94083] : [empty(_94083), -(_94083 = _94081), empty(_94081)], (102 ^ _77661) ^ [_81095, _81097] : [in(_81097, _81095), in(_81095, _81097)], (196 ^ _77661) ^ [_84391, _84393] : [198 ^ _77661 : [(201 ^ _77661) ^ [] : [in(197 ^ [_84391, _84393], _84391)], (199 ^ _77661) ^ [] : [-(in(197 ^ [_84391, _84393], _84393))]], -(subset(_84393, _84391))], (379 ^ _77661) ^ [_90590, _90592, _90594] : [-(subset(_90594, _90590)), subset(_90594, _90592), subset(_90592, _90590)], (10 ^ _77661) ^ [_78096, _78098, _78100] : [-(_78100 = _78096), _78100 = _78098, _78098 = _78096], (468 ^ _77661) ^ [_93777, _93779] : [in(_93779, _93777), empty(_93777)], (108 ^ _77661) ^ [_81291, _81293] : [-(set_union2(_81293, _81291) = set_union2(_81291, _81293))], (365 ^ _77661) ^ [_90054, _90056] : [-(subset(set_intersection2(_90056, _90054), _90056))], (205 ^ _77661) ^ [_84791, _84793, _84795] : [_84791 = set_intersection2(_84795, _84793), 208 ^ _77661 : [(217 ^ _77661) ^ [_85232] : [-(in(_85232, _84791)), in(_85232, _84795), in(_85232, _84793)], (209 ^ _77661) ^ [_84973] : [in(_84973, _84791), 212 ^ _77661 : [(215 ^ _77661) ^ [] : [-(in(_84973, _84793))], (213 ^ _77661) ^ [] : [-(in(_84973, _84795))]]]]], (359 ^ _77661) ^ [_89853, _89855] : [subset(_89855, _89853), -(set_union2(_89855, _89853) = _89853)], (395 ^ _77661) ^ [_91141, _91143] : [subset(_91143, _91141), -(set_intersection2(_91143, _91141) = _91143)], (248 ^ _77661) ^ [_86312, _86314, _86316] : [_86312 = set_difference(_86316, _86314), 251 ^ _77661 : [(260 ^ _77661) ^ [_86756] : [-(in(_86756, _86312)), in(_86756, _86316), -(in(_86756, _86314))], (252 ^ _77661) ^ [_86496] : [in(_86496, _86312), 255 ^ _77661 : [(258 ^ _77661) ^ [] : [in(_86496, _86314)], (256 ^ _77661) ^ [] : [-(in(_86496, _86316))]]]]], (431 ^ _77661) ^ [_92461, _92463] : [disjoint(_92463, _92461), 432 ^ _77661 : [(433 ^ _77661) ^ [_92553] : [in(_92553, _92463), in(_92553, _92461)]]], (486 ^ _77661) ^ [_94372, _94374, _94376] : [-(subset(set_union2(_94376, _94372), _94374)), subset(_94376, _94374), subset(_94372, _94374)], (112 ^ _77661) ^ [_81535, _81537] : [_81537 = _81535, 115 ^ _77661 : [(118 ^ _77661) ^ [] : [-(subset(_81535, _81537))], (116 ^ _77661) ^ [] : [-(subset(_81537, _81535))]]], (349 ^ _77661) ^ [] : [empty(347 ^ [])], (82 ^ _77661) ^ [_80415, _80417, _80419, _80421] : [-(set_union2(_80421, _80417) = set_union2(_80419, _80415)), _80421 = _80419, _80417 = _80415], (377 ^ _77661) ^ [_90466] : [-(set_union2(_90466, empty_set) = _90466)], (418 ^ _77661) ^ [_91939] : [-(subset(empty_set, _91939))], (353 ^ _77661) ^ [_89643, _89645] : [disjoint(_89645, _89643), -(disjoint(_89643, _89645))], (165 ^ _77661) ^ [_83297, _83299, _83301] : [-(_83297 = set_union2(_83301, _83299)), 169 ^ _77661 : [(174 ^ _77661) ^ [] : [in(166 ^ [_83297, _83299, _83301], _83299)], (172 ^ _77661) ^ [] : [in(166 ^ [_83297, _83299, _83301], _83301)], (170 ^ _77661) ^ [] : [-(in(166 ^ [_83297, _83299, _83301], _83297))]], 175 ^ _77661 : [(176 ^ _77661) ^ [] : [-(in(166 ^ [_83297, _83299, _83301], _83301)), -(in(166 ^ [_83297, _83299, _83301], _83299))], (182 ^ _77661) ^ [] : [in(166 ^ [_83297, _83299, _83301], _83297)]]], (110 ^ _77661) ^ [_81391, _81393] : [-(set_intersection2(_81393, _81391) = set_intersection2(_81391, _81393))], (270 ^ _77661) ^ [_87043, _87045, _87047] : [-(_87043 = set_difference(_87047, _87045)), 282 ^ _77661 : [(287 ^ _77661) ^ [] : [in(271 ^ [_87043, _87045, _87047], _87043)], (285 ^ _77661) ^ [] : [in(271 ^ [_87043, _87045, _87047], _87045)], (283 ^ _77661) ^ [] : [-(in(271 ^ [_87043, _87045, _87047], _87047))]], 274 ^ _77661 : [(277 ^ _77661) ^ [] : [in(271 ^ [_87043, _87045, _87047], _87047), -(in(271 ^ [_87043, _87045, _87047], _87045))], (275 ^ _77661) ^ [] : [-(in(271 ^ [_87043, _87045, _87047], _87043))]]], (34 ^ _77661) ^ [_78881, _78883, _78885, _78887] : [-(in(_78885, _78881)), in(_78887, _78883), _78887 = _78885, _78883 = _78881], (403 ^ _77661) ^ [_91438, _91440] : [-(_91440 = _91438), 407 ^ _77661 : [(410 ^ _77661) ^ [] : [in(404 ^ [_91438, _91440], _91438)], (408 ^ _77661) ^ [] : [-(in(404 ^ [_91438, _91440], _91440))]], 411 ^ _77661 : [(414 ^ _77661) ^ [] : [in(404 ^ [_91438, _91440], _91440)], (412 ^ _77661) ^ [] : [-(in(404 ^ [_91438, _91440], _91438))]]], (335 ^ _77661) ^ [_88960, _88962] : [-(empty(_88962)), empty(set_union2(_88960, _88962))], (2 ^ _77661) ^ [_77785] : [-(_77785 = _77785)]], input).
% 43.68/42.67 ncf('1',plain,[500 : -(set_difference(495 ^ [], 496 ^ []) = empty_set), 506 : set_difference(495 ^ [], 496 ^ []) = empty_set],start(498 ^ 0)).
% 43.68/42.67 ncf('1.1',plain,[set_difference(495 ^ [], 496 ^ []) = empty_set, -(empty_set = set_difference(495 ^ [], 496 ^ []))],extension(4 ^ 3,bind([[_77892, _77894], [empty_set, set_difference(495 ^ [], 496 ^ [])]]))).
% 43.68/42.67 ncf('1.1.1',plain,[empty_set = set_difference(495 ^ [], 496 ^ []), -(set_difference(495 ^ [], 496 ^ []) = set_difference(495 ^ [], 496 ^ [])), set_difference(495 ^ [], 496 ^ []) = empty_set],extension(10 ^ 4,bind([[_78096, _78098, _78100], [set_difference(495 ^ [], 496 ^ []), empty_set, set_difference(495 ^ [], 496 ^ [])]]))).
% 43.68/42.67 ncf('1.1.1.1',plain,[set_difference(495 ^ [], 496 ^ []) = set_difference(495 ^ [], 496 ^ []), 260 : -(in(197 ^ [496 ^ [], 495 ^ []], set_difference(495 ^ [], 496 ^ []))), 260 : in(197 ^ [496 ^ [], 495 ^ []], 495 ^ []), 260 : -(in(197 ^ [496 ^ [], 495 ^ []], 496 ^ []))],extension(248 ^ 5,bind([[_86312, _86314, _86316, _86756], [set_difference(495 ^ [], 496 ^ []), 496 ^ [], 495 ^ [], 197 ^ [496 ^ [], 495 ^ []]]]))).
% 43.68/42.67 ncf('1.1.1.1.1',plain,[in(197 ^ [496 ^ [], 495 ^ []], set_difference(495 ^ [], 496 ^ [])), set_difference(495 ^ [], 496 ^ []) = empty_set],extension(130 ^ 8,bind([[_82088, _82201], [set_difference(495 ^ [], 496 ^ []), 197 ^ [496 ^ [], 495 ^ []]]]))).
% 43.68/42.67 ncf('1.1.1.1.1.1',plain,[-(set_difference(495 ^ [], 496 ^ []) = empty_set)],reduction('1')).
% 43.68/42.67 ncf('1.1.1.1.2',plain,[-(in(197 ^ [496 ^ [], 495 ^ []], 495 ^ [])), -(subset(495 ^ [], 496 ^ []))],extension(196 ^ 8,bind([[_84391, _84393], [496 ^ [], 495 ^ []]]))).
% 43.68/42.67 ncf('1.1.1.1.2.1',plain,[subset(495 ^ [], 496 ^ [])],extension(502 ^ 9)).
% 43.68/42.67 ncf('1.1.1.1.3',plain,[in(197 ^ [496 ^ [], 495 ^ []], 496 ^ []), -(subset(495 ^ [], 496 ^ []))],extension(196 ^ 8,bind([[_84391, _84393], [496 ^ [], 495 ^ []]]))).
% 43.68/42.67 ncf('1.1.1.1.3.1',plain,[subset(495 ^ [], 496 ^ [])],extension(502 ^ 9)).
% 43.68/42.67 ncf('1.1.1.2',plain,[-(set_difference(495 ^ [], 496 ^ []) = empty_set)],reduction('1')).
% 43.68/42.67 ncf('1.2',plain,[-(set_difference(495 ^ [], 496 ^ []) = empty_set), empty_set = set_difference(495 ^ [], 496 ^ [])],extension(4 ^ 3,bind([[_77892, _77894], [set_difference(495 ^ [], 496 ^ []), empty_set]]))).
% 43.68/42.67 ncf('1.2.1',plain,[-(empty_set = set_difference(495 ^ [], 496 ^ [])), 285 : in(271 ^ [empty_set, 496 ^ [], 495 ^ []], 496 ^ []), 275 : -(in(271 ^ [empty_set, 496 ^ [], 495 ^ []], empty_set))],extension(270 ^ 4,bind([[_87043, _87045, _87047], [empty_set, 496 ^ [], 495 ^ []]]))).
% 43.68/42.67 ncf('1.2.1.1',plain,[-(in(271 ^ [empty_set, 496 ^ [], 495 ^ []], 496 ^ [])), 190 : in(271 ^ [empty_set, 496 ^ [], 495 ^ []], 495 ^ []), 190 : subset(495 ^ [], 496 ^ [])],extension(186 ^ 7,bind([[_84077, _84079, _84214], [496 ^ [], 495 ^ [], 271 ^ [empty_set, 496 ^ [], 495 ^ []]]]))).
% 43.68/42.67 ncf('1.2.1.1.1',plain,[-(in(271 ^ [empty_set, 496 ^ [], 495 ^ []], 495 ^ []))],extension(283 ^ 10)).
% 43.68/42.67 ncf('1.2.1.1.2',plain,[-(subset(495 ^ [], 496 ^ []))],extension(504 ^ 8)).
% 43.68/42.67 ncf('1.2.1.2',plain,[in(271 ^ [empty_set, 496 ^ [], 495 ^ []], empty_set), empty_set = empty_set],extension(130 ^ 7,bind([[_82088, _82201], [empty_set, 271 ^ [empty_set, 496 ^ [], 495 ^ []]]]))).
% 43.68/42.67 ncf('1.2.1.2.1',plain,[-(empty_set = empty_set), empty(empty_set)],extension(462 ^ 8,bind([[_93575], [empty_set]]))).
% 43.68/42.67 ncf('1.2.1.2.1.1',plain,[-(empty(empty_set))],extension(327 ^ 9)).
% 43.68/42.67 %-----------------------------------------------------
% 43.68/42.67 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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