TSTP Solution File: SEU116+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 12:02:14 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
% 0.07/0.12  % Problem  : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.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 12:59:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(428 ^ _58480) ^ [] : [-(element(426 ^ [], finite_subsets(425 ^ [])))], (430 ^ _58480) ^ [] : [finite(426 ^ [])], (204 ^ _58480) ^ [_64870, _64872] : [-(subset(_64872, _64872))], (206 ^ _58480) ^ [_64979, _64981] : [in(_64981, _64979), in(_64979, _64981)], (212 ^ _58480) ^ [] : [-(empty(empty_set))], (214 ^ _58480) ^ [_65243, _65245] : [in(_65245, _65243), -(element(_65245, _65243))], (220 ^ _58480) ^ [_65467, _65469, _65471] : [-(element(_65471, _65467)), in(_65471, _65469), element(_65469, powerset(_65467))], (230 ^ _58480) ^ [_65794, _65796, _65798] : [in(_65798, _65796), element(_65796, powerset(_65794)), empty(_65794)], (240 ^ _58480) ^ [_66104, _66106] : [empty(_66106), -(_66106 = _66104), empty(_66104)], (250 ^ _58480) ^ [_66391] : [empty(powerset(_66391))], (252 ^ _58480) ^ [_66456] : [-(cup_closed(powerset(_66456)))], (254 ^ _58480) ^ [_66521] : [-(diff_closed(powerset(_66521)))], (256 ^ _58480) ^ [_66566] : [-(preboolean(powerset(_66566)))], (258 ^ _58480) ^ [_66666] : [preboolean(_66666), 261 ^ _58480 : [(262 ^ _58480) ^ [] : [-(cup_closed(_66666))], (264 ^ _58480) ^ [] : [-(diff_closed(_66666))]]], (266 ^ _58480) ^ [_66923] : [-(preboolean(_66923)), cup_closed(_66923), diff_closed(_66923)], (276 ^ _58480) ^ [_67192] : [empty(_67192), -(finite(_67192))], (282 ^ _58480) ^ [_67378] : [finite(_67378), 285 ^ _58480 : [(286 ^ _58480) ^ [_67510] : [element(_67510, powerset(_67378)), -(finite(_67510))]]], (292 ^ _58480) ^ [_67699] : [empty(powerset(_67699))], (294 ^ _58480) ^ [_67807, _67809] : [element(_67809, _67807), -(empty(_67807)), -(in(_67809, _67807))], (304 ^ _58480) ^ [_68134, _68136] : [element(_68136, powerset(_68134)), -(subset(_68136, _68134))], (310 ^ _58480) ^ [_68300, _68302] : [subset(_68302, _68300), -(element(_68302, powerset(_68300)))], (316 ^ _58480) ^ [_68502] : [empty(_68502), -(_68502 = empty_set)], (322 ^ _58480) ^ [_68704, _68706] : [in(_68706, _68704), empty(_68704)], (329 ^ _58480) ^ [_68921] : [-(element(327 ^ [_68921], _68921))], (331 ^ _58480) ^ [_69004] : [-(preboolean(finite_subsets(_69004)))], (333 ^ _58480) ^ [_69102] : [empty(finite_subsets(_69102))], (335 ^ _58480) ^ [_69167] : [-(cup_closed(finite_subsets(_69167)))], (337 ^ _58480) ^ [_69232] : [-(diff_closed(finite_subsets(_69232)))], (339 ^ _58480) ^ [_69277] : [-(preboolean(finite_subsets(_69277)))], (341 ^ _58480) ^ [_69391, _69393] : [element(_69391, finite_subsets(_69393)), -(finite(_69391))], (348 ^ _58480) ^ [] : [empty(346 ^ [])], (350 ^ _58480) ^ [] : [-(cup_closed(346 ^ []))], (352 ^ _58480) ^ [] : [-(cap_closed(346 ^ []))], (354 ^ _58480) ^ [] : [-(diff_closed(346 ^ []))], (356 ^ _58480) ^ [] : [-(preboolean(346 ^ []))], (359 ^ _58480) ^ [] : [empty(357 ^ [])], (361 ^ _58480) ^ [] : [-(finite(357 ^ []))], (364 ^ _58480) ^ [_70160] : [-(element(362 ^ [_70160], powerset(_70160)))], (366 ^ _58480) ^ [_70231] : [-(empty(362 ^ [_70231]))], (368 ^ _58480) ^ [_70299] : [-(relation(362 ^ [_70299]))], (370 ^ _58480) ^ [_70367] : [-(function(362 ^ [_70367]))], (372 ^ _58480) ^ [_70435] : [-(one_to_one(362 ^ [_70435]))], (374 ^ _58480) ^ [_70503] : [-(epsilon_transitive(362 ^ [_70503]))], (376 ^ _58480) ^ [_70571] : [-(epsilon_connected(362 ^ [_70571]))], (378 ^ _58480) ^ [_70639] : [-(ordinal(362 ^ [_70639]))], (380 ^ _58480) ^ [_70707] : [-(natural(362 ^ [_70707]))], (382 ^ _58480) ^ [_70755] : [-(finite(362 ^ [_70755]))], (384 ^ _58480) ^ [_70870] : [-(empty(_70870)), 388 ^ _58480 : [(389 ^ _58480) ^ [] : [-(element(387 ^ [_70870], powerset(_70870)))], (391 ^ _58480) ^ [] : [empty(387 ^ [_70870])], (393 ^ _58480) ^ [] : [-(finite(387 ^ [_70870]))]]], (395 ^ _58480) ^ [_71282] : [-(empty(_71282)), 399 ^ _58480 : [(400 ^ _58480) ^ [] : [-(element(398 ^ [_71282], powerset(_71282)))], (402 ^ _58480) ^ [] : [empty(398 ^ [_71282])], (404 ^ _58480) ^ [] : [-(finite(398 ^ [_71282]))]]], (416 ^ _58480) ^ [_72077] : [-(element(414 ^ [_72077], powerset(_72077)))], (418 ^ _58480) ^ [_72128] : [-(empty(414 ^ [_72128]))], (421 ^ _58480) ^ [] : [-(empty(419 ^ []))], (424 ^ _58480) ^ [] : [empty(422 ^ [])], (406 ^ _58480) ^ [_71694] : [-(empty(_71694)), 410 ^ _58480 : [(411 ^ _58480) ^ [] : [-(element(409 ^ [_71694], powerset(_71694)))], (413 ^ _58480) ^ [] : [empty(409 ^ [_71694])]]], (192 ^ _58480) ^ [_64431, _64433] : [_64433 = _64431, -(powerset(_64433) = powerset(_64431))], (198 ^ _58480) ^ [_64629, _64631] : [_64631 = _64629, -(finite_subsets(_64631) = finite_subsets(_64629))], (2 ^ _58480) ^ [_58624] : [-(_58624 = _58624)], (4 ^ _58480) ^ [_58731, _58733] : [_58733 = _58731, -(_58731 = _58733)], (10 ^ _58480) ^ [_58935, _58937, _58939] : [-(_58939 = _58935), _58939 = _58937, _58937 = _58935], (20 ^ _58480) ^ [_59276, _59278, _59280, _59282] : [-(subset(_59280, _59276)), subset(_59282, _59278), _59282 = _59280, _59278 = _59276], (34 ^ _58480) ^ [_59720, _59722, _59724, _59726] : [-(in(_59724, _59720)), in(_59726, _59722), _59726 = _59724, _59722 = _59720], (48 ^ _58480) ^ [_60136, _60138] : [-(cup_closed(_60136)), _60138 = _60136, cup_closed(_60138)], (58 ^ _58480) ^ [_60431, _60433] : [-(cap_closed(_60431)), _60433 = _60431, cap_closed(_60433)], (68 ^ _58480) ^ [_60726, _60728] : [-(diff_closed(_60726)), _60728 = _60726, diff_closed(_60728)], (78 ^ _58480) ^ [_61021, _61023] : [-(preboolean(_61021)), _61023 = _61021, preboolean(_61023)], (88 ^ _58480) ^ [_61316, _61318] : [-(relation(_61316)), _61318 = _61316, relation(_61318)], (98 ^ _58480) ^ [_61611, _61613] : [-(function(_61611)), _61613 = _61611, function(_61613)], (108 ^ _58480) ^ [_61906, _61908] : [-(one_to_one(_61906)), _61908 = _61906, one_to_one(_61908)], (118 ^ _58480) ^ [_62201, _62203] : [-(epsilon_transitive(_62201)), _62203 = _62201, epsilon_transitive(_62203)], (128 ^ _58480) ^ [_62496, _62498] : [-(epsilon_connected(_62496)), _62498 = _62496, epsilon_connected(_62498)], (138 ^ _58480) ^ [_62791, _62793] : [-(ordinal(_62791)), _62793 = _62791, ordinal(_62793)], (148 ^ _58480) ^ [_63086, _63088] : [-(natural(_63086)), _63088 = _63086, natural(_63088)], (158 ^ _58480) ^ [_63381, _63383] : [-(empty(_63381)), _63383 = _63381, empty(_63383)], (182 ^ _58480) ^ [_64100, _64102] : [-(finite(_64100)), _64102 = _64100, finite(_64102)], (168 ^ _58480) ^ [_63704, _63706, _63708, _63710] : [-(element(_63708, _63704)), element(_63710, _63706), _63710 = _63708, _63706 = _63704]], input).
% 0.33/1.38  ncf('1',plain,[finite(426 ^ [])],start(430 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(finite(426 ^ [])), element(426 ^ [], finite_subsets(425 ^ []))],extension(341 ^ 1,bind([[_69391, _69393], [426 ^ [], 425 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(element(426 ^ [], finite_subsets(425 ^ [])))],extension(428 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------