TSTP Solution File: SEU212+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU212+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 12:02:41 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU212+3 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.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 13:22:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(405 ^ _62215) ^ [] : [-(relation(403 ^ []))], (407 ^ _62215) ^ [] : [-(function(403 ^ []))], (409 ^ _62215) ^ [] : [418 ^ _62215 : [(419 ^ _62215) ^ [] : [-(in(401 ^ [], relation_dom(403 ^ [])))], (421 ^ _62215) ^ [] : [-(402 ^ [] = apply(403 ^ [], 401 ^ []))], (423 ^ _62215) ^ [] : [in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ [])]], 410 ^ _62215 : [(411 ^ _62215) ^ [] : [-(in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []))], (413 ^ _62215) ^ [] : [in(401 ^ [], relation_dom(403 ^ [])), 402 ^ [] = apply(403 ^ [], 401 ^ [])]]], (102 ^ _62215) ^ [_65493, _65495] : [_65495 = _65493, -(singleton(_65495) = singleton(_65493))], (108 ^ _62215) ^ [_65739, _65741, _65743, _65745] : [-(unordered_pair(_65745, _65741) = unordered_pair(_65743, _65739)), _65745 = _65743, _65741 = _65739], (118 ^ _62215) ^ [_66070, _66072] : [_66072 = _66070, -(powerset(_66072) = powerset(_66070))], (124 ^ _62215) ^ [_66316, _66318, _66320, _66322] : [-(ordered_pair(_66322, _66318) = ordered_pair(_66320, _66316)), _66322 = _66320, _66318 = _66316], (134 ^ _62215) ^ [_66647, _66649] : [_66649 = _66647, -(relation_dom(_66649) = relation_dom(_66647))], (140 ^ _62215) ^ [_66873, _66875, _66877, _66879] : [-(apply(_66879, _66875) = apply(_66877, _66873)), _66879 = _66877, _66875 = _66873], (2 ^ _62215) ^ [_62359] : [-(_62359 = _62359)], (4 ^ _62215) ^ [_62466, _62468] : [_62468 = _62466, -(_62466 = _62468)], (10 ^ _62215) ^ [_62670, _62672, _62674] : [-(_62674 = _62670), _62674 = _62672, _62672 = _62670], (20 ^ _62215) ^ [_62983, _62985] : [-(relation_empty_yielding(_62983)), _62985 = _62983, relation_empty_yielding(_62985)], (30 ^ _62215) ^ [_63306, _63308, _63310, _63312] : [-(subset(_63310, _63306)), subset(_63312, _63308), _63312 = _63310, _63308 = _63306], (44 ^ _62215) ^ [_63750, _63752, _63754, _63756] : [-(element(_63754, _63750)), element(_63756, _63752), _63756 = _63754, _63752 = _63750], (58 ^ _62215) ^ [_64166, _64168] : [-(empty(_64166)), _64168 = _64166, empty(_64168)], (68 ^ _62215) ^ [_64461, _64463] : [-(relation(_64461)), _64463 = _64461, relation(_64463)], (78 ^ _62215) ^ [_64756, _64758] : [-(function(_64756)), _64758 = _64756, function(_64758)], (88 ^ _62215) ^ [_65059, _65061, _65063, _65065] : [-(in(_65063, _65059)), in(_65065, _65061), _65065 = _65063, _65061 = _65059], (150 ^ _62215) ^ [_67226, _67228] : [in(_67228, _67226), in(_67226, _67228)], (156 ^ _62215) ^ [_67423] : [empty(_67423), -(function(_67423))], (162 ^ _62215) ^ [_67609] : [empty(_67609), -(relation(_67609))], (168 ^ _62215) ^ [_67794, _67796] : [-(unordered_pair(_67796, _67794) = unordered_pair(_67794, _67796))], (170 ^ _62215) ^ [_67895] : [relation(_67895), function(_67895), 177 ^ _62215 : [(178 ^ _62215) ^ [_68187, _68189] : [in(_68189, relation_dom(_67895)), 181 ^ _62215 : [(182 ^ _62215) ^ [] : [_68187 = apply(_67895, _68189), -(in(ordered_pair(_68189, _68187), _67895))], (188 ^ _62215) ^ [] : [in(ordered_pair(_68189, _68187), _67895), -(_68187 = apply(_67895, _68189))]]], (194 ^ _62215) ^ [_68639, _68641] : [-(in(_68641, relation_dom(_67895))), 197 ^ _62215 : [(198 ^ _62215) ^ [] : [_68639 = apply(_67895, _68641), -(_68639 = empty_set)], (204 ^ _62215) ^ [] : [_68639 = empty_set, -(_68639 = apply(_67895, _68641))]]]]], (210 ^ _62215) ^ [_69128] : [relation(_69128), 213 ^ _62215 : [(231 ^ _62215) ^ [_69940] : [-(_69940 = relation_dom(_69128)), 235 ^ _62215 : [(236 ^ _62215) ^ [] : [-(in(232 ^ [_69128, _69940], _69940))], (238 ^ _62215) ^ [_70203] : [in(ordered_pair(232 ^ [_69128, _69940], _70203), _69128)]], 240 ^ _62215 : [(241 ^ _62215) ^ [] : [-(in(ordered_pair(232 ^ [_69128, _69940], 239 ^ [_69128, _69940]), _69128))], (243 ^ _62215) ^ [] : [in(232 ^ [_69128, _69940], _69940)]]], (214 ^ _62215) ^ [_69309] : [_69309 = relation_dom(_69128), 217 ^ _62215 : [(218 ^ _62215) ^ [_69489] : [in(_69489, _69309), -(in(ordered_pair(_69489, 221 ^ [_69128, _69309, _69489]), _69128))], (225 ^ _62215) ^ [_69733] : [226 ^ _62215 : [(227 ^ _62215) ^ [_69812] : [in(ordered_pair(_69733, _69812), _69128)]], -(in(_69733, _69309))]]]]], (247 ^ _62215) ^ [_70568, _70570] : [-(ordered_pair(_70570, _70568) = unordered_pair(unordered_pair(_70570, _70568), singleton(_70570)))], (250 ^ _62215) ^ [_70698] : [-(element(248 ^ [_70698], _70698))], (252 ^ _62215) ^ [] : [-(empty(empty_set))], (254 ^ _62215) ^ [] : [-(relation(empty_set))], (256 ^ _62215) ^ [] : [-(relation_empty_yielding(empty_set))], (258 ^ _62215) ^ [_70943] : [empty(powerset(_70943))], (260 ^ _62215) ^ [] : [-(empty(empty_set))], (262 ^ _62215) ^ [_71088, _71090] : [empty(ordered_pair(_71090, _71088))], (264 ^ _62215) ^ [_71169] : [empty(singleton(_71169))], (266 ^ _62215) ^ [_71261, _71263] : [empty(unordered_pair(_71263, _71261))], (268 ^ _62215) ^ [] : [-(empty(empty_set))], (270 ^ _62215) ^ [] : [-(relation(empty_set))], (272 ^ _62215) ^ [_71466] : [empty(relation_dom(_71466)), -(empty(_71466)), relation(_71466)], (282 ^ _62215) ^ [_71743] : [empty(_71743), 285 ^ _62215 : [(286 ^ _62215) ^ [] : [-(empty(relation_dom(_71743)))], (288 ^ _62215) ^ [] : [-(relation(relation_dom(_71743)))]]], (291 ^ _62215) ^ [] : [-(relation(289 ^ []))], (293 ^ _62215) ^ [] : [-(function(289 ^ []))], (296 ^ _62215) ^ [] : [-(empty(294 ^ []))], (298 ^ _62215) ^ [] : [-(relation(294 ^ []))], (300 ^ _62215) ^ [_72306] : [-(empty(_72306)), 304 ^ _62215 : [(305 ^ _62215) ^ [] : [-(element(303 ^ [_72306], powerset(_72306)))], (307 ^ _62215) ^ [] : [empty(303 ^ [_72306])]]], (310 ^ _62215) ^ [] : [-(empty(308 ^ []))], (313 ^ _62215) ^ [] : [empty(311 ^ [])], (315 ^ _62215) ^ [] : [-(relation(311 ^ []))], (318 ^ _62215) ^ [_72928] : [-(element(316 ^ [_72928], powerset(_72928)))], (320 ^ _62215) ^ [_72979] : [-(empty(316 ^ [_72979]))], (323 ^ _62215) ^ [] : [empty(321 ^ [])], (326 ^ _62215) ^ [] : [-(relation(324 ^ []))], (328 ^ _62215) ^ [] : [-(relation_empty_yielding(324 ^ []))], (330 ^ _62215) ^ [_73316, _73318] : [-(subset(_73318, _73318))], (332 ^ _62215) ^ [_73425, _73427] : [in(_73427, _73425), -(element(_73427, _73425))], (338 ^ _62215) ^ [_73635, _73637] : [element(_73637, _73635), -(empty(_73635)), -(in(_73637, _73635))], (348 ^ _62215) ^ [_73962, _73964] : [element(_73964, powerset(_73962)), -(subset(_73964, _73962))], (354 ^ _62215) ^ [_74128, _74130] : [subset(_74130, _74128), -(element(_74130, powerset(_74128)))], (360 ^ _62215) ^ [_74358, _74360, _74362] : [-(element(_74362, _74358)), in(_74362, _74360), element(_74360, powerset(_74358))], (370 ^ _62215) ^ [_74685, _74687, _74689] : [in(_74689, _74687), element(_74687, powerset(_74685)), empty(_74685)], (380 ^ _62215) ^ [_74981] : [empty(_74981), -(_74981 = empty_set)], (386 ^ _62215) ^ [_75183, _75185] : [in(_75185, _75183), empty(_75183)], (392 ^ _62215) ^ [_75370, _75372] : [empty(_75372), -(_75372 = _75370), empty(_75370)]], input).
% 0.33/1.38 ncf('1',plain,[423 : in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []), 413 : in(401 ^ [], relation_dom(403 ^ [])), 413 : 402 ^ [] = apply(403 ^ [], 401 ^ [])],start(409 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ [])), 182 : 402 ^ [] = apply(403 ^ [], 401 ^ []), 182 : in(401 ^ [], relation_dom(403 ^ [])), 178 : relation(403 ^ []), 178 : function(403 ^ [])],extension(170 ^ 3,bind([[_67895, _68187, _68189], [403 ^ [], 402 ^ [], 401 ^ []]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(402 ^ [] = apply(403 ^ [], 401 ^ []))],extension(421 ^ 8)).
% 0.33/1.38 ncf('1.1.2',plain,[-(in(401 ^ [], relation_dom(403 ^ [])))],extension(419 ^ 6)).
% 0.33/1.38 ncf('1.1.3',plain,[-(relation(403 ^ []))],extension(405 ^ 4)).
% 0.33/1.38 ncf('1.1.4',plain,[-(function(403 ^ []))],extension(407 ^ 4)).
% 0.33/1.38 ncf('1.2',plain,[-(in(401 ^ [], relation_dom(403 ^ []))), 227 : in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []), 225 : relation_dom(403 ^ []) = relation_dom(403 ^ []), 214 : relation(403 ^ [])],extension(210 ^ 3,bind([[_69128, _69309, _69733, _69812], [403 ^ [], relation_dom(403 ^ []), 401 ^ [], 402 ^ []]]))).
% 0.33/1.38 ncf('1.2.1',plain,[-(in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []))],extension(411 ^ 10)).
% 0.33/1.38 ncf('1.2.2',plain,[-(relation_dom(403 ^ []) = relation_dom(403 ^ []))],extension(2 ^ 6,bind([[_62359], [relation_dom(403 ^ [])]]))).
% 0.33/1.38 ncf('1.2.3',plain,[-(relation(403 ^ []))],extension(405 ^ 4)).
% 0.33/1.38 ncf('1.3',plain,[-(402 ^ [] = apply(403 ^ [], 401 ^ [])), 188 : in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []), 188 : in(401 ^ [], relation_dom(403 ^ [])), 178 : relation(403 ^ []), 178 : function(403 ^ [])],extension(170 ^ 3,bind([[_67895, _68187, _68189], [403 ^ [], 402 ^ [], 401 ^ []]]))).
% 0.33/1.38 ncf('1.3.1',plain,[-(in(ordered_pair(401 ^ [], 402 ^ []), 403 ^ []))],extension(411 ^ 8)).
% 0.33/1.38 ncf('1.3.2',plain,[-(in(401 ^ [], relation_dom(403 ^ [])))],lemmata('x')).
% 0.33/1.38 ncf('1.3.3',plain,[-(relation(403 ^ []))],extension(405 ^ 4)).
% 0.33/1.38 ncf('1.3.4',plain,[-(function(403 ^ []))],extension(407 ^ 4)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------