TSTP Solution File: NUM394+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM394+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:44:31 EDT 2023
% Result : Theorem 0.32s 1.39s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM394+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:38:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.32/1.39
% 0.32/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.39 %-----------------------------------------------------
% 0.32/1.39 ncf(matrix, plain, [(456 ^ _60177) ^ [] : [-(ordinal(454 ^ []))], (459 ^ _60177) ^ [] : [-(ordinal(457 ^ []))], (461 ^ _60177) ^ [] : [ordinal_subset(454 ^ [], 457 ^ [])], (463 ^ _60177) ^ [] : [in(457 ^ [], 454 ^ [])], (166 ^ _60177) ^ [_65366, _65368] : [_65368 = _65366, -(powerset(_65368) = powerset(_65366))], (2 ^ _60177) ^ [_60321] : [-(_60321 = _60321)], (4 ^ _60177) ^ [_60428, _60430] : [_60430 = _60428, -(_60428 = _60430)], (10 ^ _60177) ^ [_60632, _60634, _60636] : [-(_60636 = _60632), _60636 = _60634, _60634 = _60632], (20 ^ _60177) ^ [_60945, _60947] : [-(epsilon_transitive(_60945)), _60947 = _60945, epsilon_transitive(_60947)], (30 ^ _60177) ^ [_61240, _61242] : [-(epsilon_connected(_61240)), _61242 = _61240, epsilon_connected(_61242)], (40 ^ _60177) ^ [_61535, _61537] : [-(one_to_one(_61535)), _61537 = _61535, one_to_one(_61537)], (50 ^ _60177) ^ [_61830, _61832] : [-(relation_empty_yielding(_61830)), _61832 = _61830, relation_empty_yielding(_61832)], (60 ^ _60177) ^ [_62125, _62127] : [-(relation(_62125)), _62127 = _62125, relation(_62127)], (70 ^ _60177) ^ [_62420, _62422] : [-(relation_non_empty(_62420)), _62422 = _62420, relation_non_empty(_62422)], (80 ^ _60177) ^ [_62715, _62717] : [-(function(_62715)), _62717 = _62715, function(_62717)], (90 ^ _60177) ^ [_63038, _63040, _63042, _63044] : [-(subset(_63042, _63038)), subset(_63044, _63040), _63044 = _63042, _63040 = _63038], (104 ^ _60177) ^ [_63482, _63484, _63486, _63488] : [-(element(_63486, _63482)), element(_63488, _63484), _63488 = _63486, _63484 = _63482], (118 ^ _60177) ^ [_63898, _63900] : [-(empty(_63898)), _63900 = _63898, empty(_63900)], (128 ^ _60177) ^ [_64193, _64195] : [-(ordinal(_64193)), _64195 = _64193, ordinal(_64195)], (138 ^ _60177) ^ [_64516, _64518, _64520, _64522] : [-(ordinal_subset(_64520, _64516)), ordinal_subset(_64522, _64518), _64522 = _64520, _64518 = _64516], (152 ^ _60177) ^ [_64940, _64942, _64944, _64946] : [-(in(_64944, _64940)), in(_64946, _64942), _64946 = _64944, _64942 = _64940], (172 ^ _60177) ^ [_65586, _65588] : [in(_65588, _65586), in(_65586, _65588)], (178 ^ _60177) ^ [_65783] : [empty(_65783), -(function(_65783))], (184 ^ _60177) ^ [_65969] : [ordinal(_65969), 187 ^ _60177 : [(188 ^ _60177) ^ [] : [-(epsilon_transitive(_65969))], (190 ^ _60177) ^ [] : [-(epsilon_connected(_65969))]]], (192 ^ _60177) ^ [_66226] : [empty(_66226), -(relation(_66226))], (198 ^ _60177) ^ [_66412] : [209 ^ _60177 : [(210 ^ _60177) ^ [] : [-(relation(_66412))], (212 ^ _60177) ^ [] : [-(function(_66412))], (214 ^ _60177) ^ [] : [-(one_to_one(_66412))]], relation(_66412), empty(_66412), function(_66412)], (216 ^ _60177) ^ [_66905] : [-(ordinal(_66905)), epsilon_transitive(_66905), epsilon_connected(_66905)], (226 ^ _60177) ^ [_67188, _67190] : [ordinal(_67190), ordinal(_67188), -(ordinal_subset(_67190, _67188)), -(ordinal_subset(_67188, _67190))], (250 ^ _60177) ^ [_67890] : [252 ^ _60177 : [(253 ^ _60177) ^ [] : [-(in(251 ^ [_67890], _67890))], (255 ^ _60177) ^ [] : [subset(251 ^ [_67890], _67890)]], -(epsilon_transitive(_67890))], (240 ^ _60177) ^ [_67590] : [epsilon_transitive(_67590), 243 ^ _60177 : [(244 ^ _60177) ^ [_67721] : [in(_67721, _67590), -(subset(_67721, _67590))]]], (260 ^ _60177) ^ [_68239] : [-(element(258 ^ [_68239], _68239))], (262 ^ _60177) ^ [] : [-(empty(empty_set))], (264 ^ _60177) ^ [] : [-(relation(empty_set))], (266 ^ _60177) ^ [] : [-(relation_empty_yielding(empty_set))], (268 ^ _60177) ^ [] : [-(empty(empty_set))], (270 ^ _60177) ^ [] : [-(empty(empty_set))], (272 ^ _60177) ^ [] : [-(relation(empty_set))], (275 ^ _60177) ^ [] : [-(relation(273 ^ []))], (277 ^ _60177) ^ [] : [-(function(273 ^ []))], (280 ^ _60177) ^ [] : [-(epsilon_transitive(278 ^ []))], (282 ^ _60177) ^ [] : [-(epsilon_connected(278 ^ []))], (284 ^ _60177) ^ [] : [-(ordinal(278 ^ []))], (287 ^ _60177) ^ [] : [-(empty(285 ^ []))], (289 ^ _60177) ^ [] : [-(relation(285 ^ []))], (292 ^ _60177) ^ [] : [-(empty(290 ^ []))], (295 ^ _60177) ^ [] : [-(relation(293 ^ []))], (297 ^ _60177) ^ [] : [-(empty(293 ^ []))], (299 ^ _60177) ^ [] : [-(function(293 ^ []))], (302 ^ _60177) ^ [] : [empty(300 ^ [])], (304 ^ _60177) ^ [] : [-(relation(300 ^ []))], (307 ^ _60177) ^ [] : [empty(305 ^ [])], (310 ^ _60177) ^ [] : [-(relation(308 ^ []))], (312 ^ _60177) ^ [] : [-(function(308 ^ []))], (314 ^ _60177) ^ [] : [-(one_to_one(308 ^ []))], (317 ^ _60177) ^ [] : [-(relation(315 ^ []))], (319 ^ _60177) ^ [] : [-(relation_empty_yielding(315 ^ []))], (322 ^ _60177) ^ [] : [-(relation(320 ^ []))], (324 ^ _60177) ^ [] : [-(relation_empty_yielding(320 ^ []))], (326 ^ _60177) ^ [] : [-(function(320 ^ []))], (329 ^ _60177) ^ [] : [-(relation(327 ^ []))], (331 ^ _60177) ^ [] : [-(relation_non_empty(327 ^ []))], (333 ^ _60177) ^ [] : [-(function(327 ^ []))], (335 ^ _60177) ^ [_70496, _70498] : [ordinal(_70498), ordinal(_70496), 342 ^ _60177 : [(343 ^ _60177) ^ [] : [ordinal_subset(_70498, _70496), -(subset(_70498, _70496))], (349 ^ _60177) ^ [] : [subset(_70498, _70496), -(ordinal_subset(_70498, _70496))]]], (355 ^ _60177) ^ [_71043, _71045] : [-(ordinal_subset(_71045, _71045)), ordinal(_71045), ordinal(_71043)], (365 ^ _60177) ^ [_71323, _71325] : [-(subset(_71325, _71325))], (367 ^ _60177) ^ [_71432, _71434] : [in(_71434, _71432), -(element(_71434, _71432))], (373 ^ _60177) ^ [_71628] : [ordinal(_71628), 376 ^ _60177 : [(377 ^ _60177) ^ [_71778] : [ordinal(_71778), -(in(_71628, _71778)), -(_71628 = _71778), -(in(_71778, _71628))]]], (391 ^ _60177) ^ [_72181, _72183] : [element(_72183, _72181), -(empty(_72181)), -(in(_72183, _72181))], (401 ^ _60177) ^ [_72508, _72510] : [element(_72510, powerset(_72508)), -(subset(_72510, _72508))], (407 ^ _60177) ^ [_72674, _72676] : [subset(_72676, _72674), -(element(_72676, powerset(_72674)))], (413 ^ _60177) ^ [_72904, _72906, _72908] : [-(element(_72908, _72904)), in(_72908, _72906), element(_72906, powerset(_72904))], (423 ^ _60177) ^ [_73231, _73233, _73235] : [in(_73235, _73233), element(_73233, powerset(_73231)), empty(_73231)], (433 ^ _60177) ^ [_73527] : [empty(_73527), -(_73527 = empty_set)], (439 ^ _60177) ^ [_73729, _73731] : [in(_73731, _73729), empty(_73729)], (445 ^ _60177) ^ [_73916, _73918] : [empty(_73918), -(_73918 = _73916), empty(_73916)]], input).
% 0.32/1.39 ncf('1',plain,[in(457 ^ [], 454 ^ [])],start(463 ^ 0)).
% 0.32/1.39 ncf('1.1',plain,[-(in(457 ^ [], 454 ^ [])), 377 : ordinal(454 ^ []), 377 : -(457 ^ [] = 454 ^ []), 377 : -(in(454 ^ [], 457 ^ [])), 377 : ordinal(457 ^ [])],extension(373 ^ 1,bind([[_71628, _71778], [457 ^ [], 454 ^ []]]))).
% 0.32/1.39 ncf('1.1.1',plain,[-(ordinal(454 ^ []))],extension(456 ^ 4)).
% 0.32/1.39 ncf('1.1.2',plain,[457 ^ [] = 454 ^ [], -(subset(454 ^ [], 457 ^ [])), subset(457 ^ [], 457 ^ []), 457 ^ [] = 457 ^ []],extension(90 ^ 4,bind([[_63038, _63040, _63042, _63044], [457 ^ [], 457 ^ [], 454 ^ [], 457 ^ []]]))).
% 0.32/1.39 ncf('1.1.2.1',plain,[subset(454 ^ [], 457 ^ []), 349 : -(ordinal_subset(454 ^ [], 457 ^ [])), 349 : ordinal(454 ^ []), 349 : ordinal(457 ^ [])],extension(335 ^ 5,bind([[_70496, _70498], [457 ^ [], 454 ^ []]]))).
% 0.32/1.39 ncf('1.1.2.1.1',plain,[ordinal_subset(454 ^ [], 457 ^ [])],extension(461 ^ 8)).
% 0.32/1.39 ncf('1.1.2.1.2',plain,[-(ordinal(454 ^ []))],lemmata('[1].x')).
% 0.32/1.39 ncf('1.1.2.1.3',plain,[-(ordinal(457 ^ []))],extension(459 ^ 6)).
% 0.32/1.39 ncf('1.1.2.2',plain,[-(subset(457 ^ [], 457 ^ []))],extension(365 ^ 5,bind([[_71323, _71325], [_43802, 457 ^ []]]))).
% 0.32/1.39 ncf('1.1.2.3',plain,[-(457 ^ [] = 457 ^ [])],extension(2 ^ 5,bind([[_60321], [457 ^ []]]))).
% 0.32/1.39 ncf('1.1.3',plain,[in(454 ^ [], 457 ^ []), 244 : -(subset(454 ^ [], 457 ^ [])), 244 : epsilon_transitive(457 ^ [])],extension(240 ^ 4,bind([[_67590, _67721], [457 ^ [], 454 ^ []]]))).
% 0.32/1.39 ncf('1.1.3.1',plain,[subset(454 ^ [], 457 ^ []), 349 : -(ordinal_subset(454 ^ [], 457 ^ [])), 349 : ordinal(454 ^ []), 349 : ordinal(457 ^ [])],extension(335 ^ 7,bind([[_70496, _70498], [457 ^ [], 454 ^ []]]))).
% 0.32/1.39 ncf('1.1.3.1.1',plain,[ordinal_subset(454 ^ [], 457 ^ [])],extension(461 ^ 10)).
% 0.32/1.39 ncf('1.1.3.1.2',plain,[-(ordinal(454 ^ []))],lemmata('[1].x')).
% 0.32/1.39 ncf('1.1.3.1.3',plain,[-(ordinal(457 ^ []))],extension(459 ^ 8)).
% 0.32/1.39 ncf('1.1.3.2',plain,[-(epsilon_transitive(457 ^ [])), ordinal(457 ^ [])],extension(184 ^ 5,bind([[_65969], [457 ^ []]]))).
% 0.32/1.39 ncf('1.1.3.2.1',plain,[-(ordinal(457 ^ []))],extension(459 ^ 6)).
% 0.32/1.39 ncf('1.1.4',plain,[-(ordinal(457 ^ []))],extension(459 ^ 2)).
% 0.32/1.39 %-----------------------------------------------------
% 0.32/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------