TSTP Solution File: SEU110+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:13 EDT 2023
% Result : Theorem 236.40s 229.01s
% Output : Proof 236.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU110+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 13:16:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 236.40/229.01
% 236.40/229.01 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 236.40/229.01 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 236.40/229.01 %-----------------------------------------------------
% 236.40/229.01 ncf(matrix, plain, [(504 ^ _94468) ^ [] : [-(subset(501 ^ [], 502 ^ []))], (506 ^ _94468) ^ [] : [subset(finite_subsets(501 ^ []), finite_subsets(502 ^ []))], !, (30 ^ _77846) ^ [_78889, _78891] : [-(cap_closed(_78889)), _78891 = _78889, cap_closed(_78891)], (260 ^ _77846) ^ [_86046, _86048] : [262 ^ _77846 : [(263 ^ _77846) ^ [] : [-(in(261 ^ [_86046, _86048], _86048))], (265 ^ _77846) ^ [] : [in(261 ^ [_86046, _86048], _86046)]], -(subset(_86048, _86046))], (339 ^ _77846) ^ [_88648] : [-(preboolean(finite_subsets(_88648)))], (398 ^ _77846) ^ [_90741] : [-(empty(_90741)), 402 ^ _77846 : [(403 ^ _77846) ^ [] : [-(element(401 ^ [_90741], powerset(_90741)))], (407 ^ _77846) ^ [] : [-(finite(401 ^ [_90741]))], (405 ^ _77846) ^ [] : [empty(401 ^ [_90741])]]], (325 ^ _77846) ^ [_88193] : [-(diff_closed(powerset(_88193)))], (337 ^ _77846) ^ [_88603] : [-(diff_closed(finite_subsets(_88603)))], (154 ^ _77846) ^ [_82606, _82608, _82610, _82612] : [-(in(_82610, _82606)), in(_82612, _82608), _82612 = _82610, _82608 = _82606], (70 ^ _77846) ^ [_80069, _80071] : [-(function(_80069)), _80071 = _80069, function(_80071)], (380 ^ _77846) ^ [_90083] : [-(epsilon_transitive(368 ^ [_90083]))], (244 ^ _77846) ^ [_85491, _85493] : [element(_85491, finite_subsets(_85493)), -(finite(_85491))], (376 ^ _77846) ^ [_89947] : [-(function(368 ^ [_89947]))], (130 ^ _77846) ^ [_81839, _81841] : [-(finite(_81839)), _81841 = _81839, finite(_81841)], (396 ^ _77846) ^ [] : [empty(394 ^ [])], (120 ^ _77846) ^ [_81544, _81546] : [-(natural(_81544)), _81546 = _81544, natural(_81546)], (460 ^ _77846) ^ [_92929, _92931, _92933] : [-(element(_92933, _92929)), in(_92933, _92931), element(_92931, powerset(_92929))], (349 ^ _77846) ^ [] : [-(cup_closed(345 ^ []))], (321 ^ _77846) ^ [_88063] : [empty(powerset(_88063))], (60 ^ _77846) ^ [_79774, _79776] : [-(relation(_79774)), _79776 = _79774, relation(_79776)], (198 ^ _77846) ^ [_83975, _83977] : [_83977 = _83975, -(finite_subsets(_83977) = finite_subsets(_83975))], (90 ^ _77846) ^ [_80659, _80661] : [-(epsilon_transitive(_80659)), _80661 = _80659, epsilon_transitive(_80661)], (438 ^ _77846) ^ [_92206, _92208] : [element(_92208, _92206), -(empty(_92206)), -(in(_92208, _92206))], (80 ^ _77846) ^ [_80364, _80366] : [-(one_to_one(_80364)), _80366 = _80364, one_to_one(_80366)], (486 ^ _77846) ^ [_93754, _93756] : [in(_93756, _93754), empty(_93754)], (2 ^ _77846) ^ [_77970] : [-(_77970 = _77970)], (344 ^ _77846) ^ [] : [-(finite(340 ^ []))], (269 ^ _77846) ^ [_86403, _86405] : [preboolean(_86403), 272 ^ _77846 : [(295 ^ _77846) ^ [] : [-(_86403 = finite_subsets(_86405)), 307 ^ _77846 : [(308 ^ _77846) ^ [] : [-(subset(296 ^ [_86403, _86405], _86405))], (312 ^ _77846) ^ [] : [in(296 ^ [_86403, _86405], _86403)], (310 ^ _77846) ^ [] : [-(finite(296 ^ [_86403, _86405]))]], 299 ^ _77846 : [(300 ^ _77846) ^ [] : [-(in(296 ^ [_86403, _86405], _86403))], (302 ^ _77846) ^ [] : [subset(296 ^ [_86403, _86405], _86405), finite(296 ^ [_86403, _86405])]]], (273 ^ _77846) ^ [] : [_86403 = finite_subsets(_86405), 276 ^ _77846 : [(277 ^ _77846) ^ [_86690] : [in(_86690, _86403), 280 ^ _77846 : [(281 ^ _77846) ^ [] : [-(subset(_86690, _86405))], (283 ^ _77846) ^ [] : [-(finite(_86690))]]], (285 ^ _77846) ^ [_86937] : [-(in(_86937, _86403)), subset(_86937, _86405), finite(_86937)]]]]], (327 ^ _77846) ^ [_88238] : [-(preboolean(powerset(_88238)))], (10 ^ _77846) ^ [_78281, _78283, _78285] : [-(_78285 = _78281), _78285 = _78283, _78283 = _78281], (234 ^ _77846) ^ [_85208] : [-(preboolean(_85208)), cup_closed(_85208), diff_closed(_85208)], (316 ^ _77846) ^ [_87843] : [-(preboolean(finite_subsets(_87843)))], (382 ^ _77846) ^ [_90151] : [-(epsilon_connected(368 ^ [_90151]))], (4 ^ _77846) ^ [_78077, _78079] : [_78079 = _78077, -(_78077 = _78079)], (378 ^ _77846) ^ [_90015] : [-(one_to_one(368 ^ [_90015]))], (370 ^ _77846) ^ [_89740] : [-(element(368 ^ [_89740], powerset(_89740)))], (374 ^ _77846) ^ [_89879] : [-(relation(368 ^ [_89879]))], (335 ^ _77846) ^ [_88538] : [-(cup_closed(finite_subsets(_88538)))], (224 ^ _77846) ^ [_84871] : [finite(_84871), 227 ^ _77846 : [(228 ^ _77846) ^ [_85003] : [element(_85003, powerset(_84871)), -(finite(_85003))]]], (140 ^ _77846) ^ [_82162, _82164, _82166, _82168] : [-(element(_82166, _82162)), element(_82168, _82164), _82168 = _82166, _82164 = _82162], (391 ^ _77846) ^ [_90501] : [-(element(389 ^ [_90501], powerset(_90501)))], (367 ^ _77846) ^ [] : [-(empty(365 ^ []))], (355 ^ _77846) ^ [] : [-(preboolean(345 ^ []))], (168 ^ _77846) ^ [_83022, _83024] : [-(empty(_83022)), _83024 = _83022, empty(_83024)], (250 ^ _77846) ^ [_85732, _85734] : [subset(_85734, _85732), 253 ^ _77846 : [(254 ^ _77846) ^ [_85869] : [in(_85869, _85734), -(in(_85869, _85732))]]], (420 ^ _77846) ^ [_91564, _91566] : [-(subset(_91566, _91566))], (342 ^ _77846) ^ [] : [empty(340 ^ [])], (480 ^ _77846) ^ [_93552] : [empty(_93552), -(_93552 = empty_set)], (50 ^ _77846) ^ [_79479, _79481] : [-(preboolean(_79479)), _79481 = _79479, preboolean(_79481)], (351 ^ _77846) ^ [] : [-(cap_closed(345 ^ []))], (393 ^ _77846) ^ [_90552] : [-(empty(389 ^ [_90552]))], (331 ^ _77846) ^ [] : [-(empty(empty_set))], (178 ^ _77846) ^ [_83325, _83327, _83329, _83331] : [-(subset(_83329, _83325)), subset(_83331, _83327), _83331 = _83329, _83327 = _83325], (323 ^ _77846) ^ [_88128] : [-(cup_closed(powerset(_88128)))], (333 ^ _77846) ^ [_88473] : [empty(finite_subsets(_88473))], (100 ^ _77846) ^ [_80954, _80956] : [-(epsilon_connected(_80954)), _80956 = _80954, epsilon_connected(_80956)], (20 ^ _77846) ^ [_78594, _78596] : [-(cup_closed(_78594)), _78596 = _78594, cup_closed(_78596)], (192 ^ _77846) ^ [_83777, _83779] : [_83779 = _83777, -(powerset(_83779) = powerset(_83777))], (428 ^ _77846) ^ [_91897, _91899, _91901] : [-(subset(_91901, _91897)), subset(_91901, _91899), subset(_91899, _91897)], (372 ^ _77846) ^ [_89811] : [-(empty(368 ^ [_89811]))], (409 ^ _77846) ^ [_91153] : [-(empty(_91153)), 413 ^ _77846 : [(414 ^ _77846) ^ [] : [-(element(412 ^ [_91153], powerset(_91153)))], (418 ^ _77846) ^ [] : [-(finite(412 ^ [_91153]))], (416 ^ _77846) ^ [] : [empty(412 ^ [_91153])]]], (470 ^ _77846) ^ [_93256, _93258, _93260] : [in(_93260, _93258), element(_93258, powerset(_93256)), empty(_93256)], (110 ^ _77846) ^ [_81249, _81251] : [-(ordinal(_81249)), _81251 = _81249, ordinal(_81251)], (448 ^ _77846) ^ [_92533, _92535] : [element(_92535, powerset(_92533)), -(subset(_92535, _92533))], (357 ^ _77846) ^ [_89228] : [-(empty(_89228)), 361 ^ _77846 : [(362 ^ _77846) ^ [] : [-(element(360 ^ [_89228], powerset(_89228)))], (364 ^ _77846) ^ [] : [empty(360 ^ [_89228])]]], (216 ^ _77846) ^ [_84614] : [preboolean(_84614), 219 ^ _77846 : [(220 ^ _77846) ^ [] : [-(cup_closed(_84614))], (222 ^ _77846) ^ [] : [-(diff_closed(_84614))]]], (388 ^ _77846) ^ [_90335] : [-(finite(368 ^ [_90335]))], (329 ^ _77846) ^ [_88322] : [empty(powerset(_88322))], (353 ^ _77846) ^ [] : [-(diff_closed(345 ^ []))], (422 ^ _77846) ^ [_91673, _91675] : [in(_91675, _91673), -(element(_91675, _91673))], (319 ^ _77846) ^ [_87961] : [-(element(317 ^ [_87961], _87961))], (384 ^ _77846) ^ [_90219] : [-(ordinal(368 ^ [_90219]))], (386 ^ _77846) ^ [_90287] : [-(natural(368 ^ [_90287]))], (40 ^ _77846) ^ [_79184, _79186] : [-(diff_closed(_79184)), _79186 = _79184, diff_closed(_79186)], (347 ^ _77846) ^ [] : [empty(345 ^ [])], (492 ^ _77846) ^ [_93941, _93943] : [empty(_93943), -(_93943 = _93941), empty(_93941)], (454 ^ _77846) ^ [_92699, _92701] : [subset(_92701, _92699), -(element(_92701, powerset(_92699)))], (210 ^ _77846) ^ [_84428] : [empty(_84428), -(finite(_84428))], (204 ^ _77846) ^ [_84231, _84233] : [in(_84233, _84231), in(_84231, _84233)]], input).
% 236.40/229.01 ncf('1',plain,[-(subset(501 ^ [], 502 ^ []))],start(504 ^ 0)).
% 236.40/229.01 ncf('1.1',plain,[subset(501 ^ [], 502 ^ []), -(subset(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], 502 ^ [])), subset(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], 501 ^ [])],extension(428 ^ 1,bind([[_91897, _91899, _91901], [502 ^ [], 501 ^ [], 261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]]))).
% 236.40/229.01 ncf('1.1.1',plain,[subset(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], 502 ^ []), 285 : -(in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(502 ^ []))), 285 : finite(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]), 285 : finite_subsets(502 ^ []) = finite_subsets(502 ^ []), 273 : preboolean(finite_subsets(502 ^ []))],extension(269 ^ 2,bind([[_86403, _86405, _86937], [finite_subsets(502 ^ []), 502 ^ [], 261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]]))).
% 236.40/229.01 ncf('1.1.1.1',plain,[in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(502 ^ [])), -(subset(finite_subsets(501 ^ []), finite_subsets(502 ^ [])))],extension(260 ^ 7,bind([[_86046, _86048], [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]))).
% 236.40/229.01 ncf('1.1.1.1.1',plain,[subset(finite_subsets(501 ^ []), finite_subsets(502 ^ []))],extension(506 ^ 8)).
% 236.40/229.01 ncf('1.1.1.2',plain,[-(finite(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])])), 277 : in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(501 ^ [])), 277 : finite_subsets(501 ^ []) = finite_subsets(501 ^ []), 273 : preboolean(finite_subsets(501 ^ []))],extension(269 ^ 7,bind([[_86403, _86405, _86690], [finite_subsets(501 ^ []), 501 ^ [], 261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]]))).
% 236.40/229.01 ncf('1.1.1.2.1',plain,[-(in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(501 ^ []))), -(subset(finite_subsets(501 ^ []), finite_subsets(502 ^ [])))],extension(260 ^ 12,bind([[_86046, _86048], [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]))).
% 236.40/229.01 ncf('1.1.1.2.1.1',plain,[subset(finite_subsets(501 ^ []), finite_subsets(502 ^ []))],extension(506 ^ 13)).
% 236.40/229.01 ncf('1.1.1.2.2',plain,[-(finite_subsets(501 ^ []) = finite_subsets(501 ^ []))],extension(2 ^ 10,bind([[_77970], [finite_subsets(501 ^ [])]]))).
% 236.40/229.01 ncf('1.1.1.2.3',plain,[-(preboolean(finite_subsets(501 ^ [])))],extension(339 ^ 8,bind([[_88648], [501 ^ []]]))).
% 236.40/229.01 ncf('1.1.1.3',plain,[-(finite_subsets(502 ^ []) = finite_subsets(502 ^ [])), 502 ^ [] = 502 ^ []],extension(198 ^ 5,bind([[_83975, _83977], [502 ^ [], 502 ^ []]]))).
% 236.40/229.01 ncf('1.1.1.3.1',plain,[-(502 ^ [] = 502 ^ [])],extension(2 ^ 6,bind([[_77970], [502 ^ []]]))).
% 236.40/229.01 ncf('1.1.1.4',plain,[-(preboolean(finite_subsets(502 ^ [])))],extension(339 ^ 3,bind([[_88648], [502 ^ []]]))).
% 236.40/229.01 ncf('1.1.2',plain,[-(subset(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], 501 ^ [])), 277 : in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(501 ^ [])), 277 : finite_subsets(501 ^ []) = finite_subsets(501 ^ []), 273 : preboolean(finite_subsets(501 ^ []))],extension(269 ^ 2,bind([[_86403, _86405, _86690], [finite_subsets(501 ^ []), 501 ^ [], 261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]]))).
% 236.40/229.01 ncf('1.1.2.1',plain,[-(in(261 ^ [finite_subsets(502 ^ []), finite_subsets(501 ^ [])], finite_subsets(501 ^ []))), -(subset(finite_subsets(501 ^ []), finite_subsets(502 ^ [])))],extension(260 ^ 7,bind([[_86046, _86048], [finite_subsets(502 ^ []), finite_subsets(501 ^ [])]]))).
% 236.40/229.01 ncf('1.1.2.1.1',plain,[subset(finite_subsets(501 ^ []), finite_subsets(502 ^ []))],extension(506 ^ 8)).
% 236.40/229.01 ncf('1.1.2.2',plain,[-(finite_subsets(501 ^ []) = finite_subsets(501 ^ [])), 501 ^ [] = 501 ^ []],extension(198 ^ 5,bind([[_83975, _83977], [501 ^ [], 501 ^ []]]))).
% 236.40/229.01 ncf('1.1.2.2.1',plain,[-(501 ^ [] = 501 ^ [])],extension(2 ^ 6,bind([[_77970], [501 ^ []]]))).
% 236.40/229.01 ncf('1.1.2.3',plain,[-(preboolean(finite_subsets(501 ^ [])))],extension(339 ^ 3,bind([[_88648], [501 ^ []]]))).
% 236.40/229.01 %-----------------------------------------------------
% 236.40/229.01 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------