%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM393+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM393+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 17:26:11 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(459 ^ _59909) ^ [] : [-(ordinal(457 ^ []))], (462 ^ _59909) ^ [] : [-(ordinal(460 ^ []))], (464 ^ _59909) ^ [] : [inclusion_comparable(457 ^ [], 460 ^ [])], (180 ^ _59909) ^ [_65544, _65546] : [_65546 = _65544, -(powerset(_65546) = powerset(_65544))], (2 ^ _59909) ^ [_60053] : [-(_60053 = _60053)], (4 ^ _59909) ^ [_60160, _60162] : [_60162 = _60160, -(_60160 = _60162)], (10 ^ _59909) ^ [_60364, _60366, _60368] : [-(_60368 = _60364), _60368 = _60366, _60366 = _60364], (20 ^ _59909) ^ [_60677, _60679] : [-(epsilon_transitive(_60677)), _60679 = _60677, epsilon_transitive(_60679)], (30 ^ _59909) ^ [_60972, _60974] : [-(epsilon_connected(_60972)), _60974 = _60972, epsilon_connected(_60974)], (40 ^ _59909) ^ [_61267, _61269] : [-(one_to_one(_61267)), _61269 = _61267, one_to_one(_61269)], (50 ^ _59909) ^ [_61562, _61564] : [-(relation_empty_yielding(_61562)), _61564 = _61562, relation_empty_yielding(_61564)], (60 ^ _59909) ^ [_61857, _61859] : [-(relation(_61857)), _61859 = _61857, relation(_61859)], (70 ^ _59909) ^ [_62152, _62154] : [-(relation_non_empty(_62152)), _62154 = _62152, relation_non_empty(_62154)], (80 ^ _59909) ^ [_62447, _62449] : [-(function(_62447)), _62449 = _62447, function(_62449)], (90 ^ _59909) ^ [_62770, _62772, _62774, _62776] : [-(ordinal_subset(_62774, _62770)), ordinal_subset(_62776, _62772), _62776 = _62774, _62772 = _62770], (104 ^ _59909) ^ [_63214, _63216, _63218, _63220] : [-(subset(_63218, _63214)), subset(_63220, _63216), _63220 = _63218, _63216 = _63214], (118 ^ _59909) ^ [_63658, _63660, _63662, _63664] : [-(element(_63662, _63658)), element(_63664, _63660), _63664 = _63662, _63660 = _63658], (132 ^ _59909) ^ [_64102, _64104, _64106, _64108] : [-(in(_64106, _64102)), in(_64108, _64104), _64108 = _64106, _64104 = _64102], (146 ^ _59909) ^ [_64518, _64520] : [-(empty(_64518)), _64520 = _64518, empty(_64520)], (156 ^ _59909) ^ [_64813, _64815] : [-(ordinal(_64813)), _64815 = _64813, ordinal(_64815)], (166 ^ _59909) ^ [_65116, _65118, _65120, _65122] : [-(inclusion_comparable(_65120, _65116)), inclusion_comparable(_65122, _65118), _65122 = _65120, _65118 = _65116], (186 ^ _59909) ^ [_65764, _65766] : [in(_65766, _65764), in(_65764, _65766)], (192 ^ _59909) ^ [_65961] : [empty(_65961), -(function(_65961))], (198 ^ _59909) ^ [_66147] : [ordinal(_66147), 201 ^ _59909 : [(202 ^ _59909) ^ [] : [-(epsilon_transitive(_66147))], (204 ^ _59909) ^ [] : [-(epsilon_connected(_66147))]]], (206 ^ _59909) ^ [_66404] : [empty(_66404), -(relation(_66404))], (212 ^ _59909) ^ [_66590] : [223 ^ _59909 : [(224 ^ _59909) ^ [] : [-(relation(_66590))], (226 ^ _59909) ^ [] : [-(function(_66590))], (228 ^ _59909) ^ [] : [-(one_to_one(_66590))]], relation(_66590), empty(_66590), function(_66590)], (230 ^ _59909) ^ [_67083] : [-(ordinal(_67083)), epsilon_transitive(_67083), epsilon_connected(_67083)], (240 ^ _59909) ^ [_67366, _67368] : [ordinal(_67368), ordinal(_67366), -(ordinal_subset(_67368, _67366)), -(ordinal_subset(_67366, _67368))], (264 ^ _59909) ^ [_68034, _68036] : [265 ^ _59909 : [(266 ^ _59909) ^ [] : [subset(_68036, _68034)], (268 ^ _59909) ^ [] : [subset(_68034, _68036)]], -(inclusion_comparable(_68036, _68034))], (254 ^ _59909) ^ [_67782, _67784] : [inclusion_comparable(_67784, _67782), -(subset(_67784, _67782)), -(subset(_67782, _67784))], (273 ^ _59909) ^ [_68330] : [-(element(271 ^ [_68330], _68330))], (275 ^ _59909) ^ [] : [-(empty(empty_set))], (277 ^ _59909) ^ [] : [-(relation(empty_set))], (279 ^ _59909) ^ [] : [-(relation_empty_yielding(empty_set))], (281 ^ _59909) ^ [] : [-(empty(empty_set))], (283 ^ _59909) ^ [] : [-(empty(empty_set))], (285 ^ _59909) ^ [] : [-(relation(empty_set))], (288 ^ _59909) ^ [] : [-(relation(286 ^ []))], (290 ^ _59909) ^ [] : [-(function(286 ^ []))], (293 ^ _59909) ^ [] : [-(epsilon_transitive(291 ^ []))], (295 ^ _59909) ^ [] : [-(epsilon_connected(291 ^ []))], (297 ^ _59909) ^ [] : [-(ordinal(291 ^ []))], (300 ^ _59909) ^ [] : [-(empty(298 ^ []))], (302 ^ _59909) ^ [] : [-(relation(298 ^ []))], (305 ^ _59909) ^ [] : [-(empty(303 ^ []))], (308 ^ _59909) ^ [] : [-(relation(306 ^ []))], (310 ^ _59909) ^ [] : [-(empty(306 ^ []))], (312 ^ _59909) ^ [] : [-(function(306 ^ []))], (315 ^ _59909) ^ [] : [empty(313 ^ [])], (317 ^ _59909) ^ [] : [-(relation(313 ^ []))], (320 ^ _59909) ^ [] : [empty(318 ^ [])], (323 ^ _59909) ^ [] : [-(relation(321 ^ []))], (325 ^ _59909) ^ [] : [-(function(321 ^ []))], (327 ^ _59909) ^ [] : [-(one_to_one(321 ^ []))], (330 ^ _59909) ^ [] : [-(relation(328 ^ []))], (332 ^ _59909) ^ [] : [-(relation_empty_yielding(328 ^ []))], (335 ^ _59909) ^ [] : [-(relation(333 ^ []))], (337 ^ _59909) ^ [] : [-(relation_empty_yielding(333 ^ []))], (339 ^ _59909) ^ [] : [-(function(333 ^ []))], (342 ^ _59909) ^ [] : [-(relation(340 ^ []))], (344 ^ _59909) ^ [] : [-(relation_non_empty(340 ^ []))], (346 ^ _59909) ^ [] : [-(function(340 ^ []))], (348 ^ _59909) ^ [_70587, _70589] : [ordinal(_70589), ordinal(_70587), 355 ^ _59909 : [(356 ^ _59909) ^ [] : [ordinal_subset(_70589, _70587), -(subset(_70589, _70587))], (362 ^ _59909) ^ [] : [subset(_70589, _70587), -(ordinal_subset(_70589, _70587))]]], (368 ^ _59909) ^ [_71134, _71136] : [-(ordinal_subset(_71136, _71136)), ordinal(_71136), ordinal(_71134)], (378 ^ _59909) ^ [_71414, _71416] : [-(subset(_71416, _71416))], (380 ^ _59909) ^ [_71508, _71510] : [-(inclusion_comparable(_71510, _71510))], (382 ^ _59909) ^ [_71617, _71619] : [inclusion_comparable(_71619, _71617), -(inclusion_comparable(_71617, _71619))], (388 ^ _59909) ^ [_71827, _71829] : [in(_71829, _71827), -(element(_71829, _71827))], (394 ^ _59909) ^ [_72037, _72039] : [element(_72039, _72037), -(empty(_72037)), -(in(_72039, _72037))], (404 ^ _59909) ^ [_72364, _72366] : [element(_72366, powerset(_72364)), -(subset(_72366, _72364))], (410 ^ _59909) ^ [_72530, _72532] : [subset(_72532, _72530), -(element(_72532, powerset(_72530)))], (416 ^ _59909) ^ [_72760, _72762, _72764] : [-(element(_72764, _72760)), in(_72764, _72762), element(_72762, powerset(_72760))], (426 ^ _59909) ^ [_73087, _73089, _73091] : [in(_73091, _73089), element(_73089, powerset(_73087)), empty(_73087)], (436 ^ _59909) ^ [_73383] : [empty(_73383), -(_73383 = empty_set)], (442 ^ _59909) ^ [_73585, _73587] : [in(_73587, _73585), empty(_73585)], (448 ^ _59909) ^ [_73772, _73774] : [empty(_73774), -(_73774 = _73772), empty(_73772)]], input).
% 0.33/1.37  ncf('1',plain,[inclusion_comparable(457 ^ [], 460 ^ [])],start(464 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(inclusion_comparable(457 ^ [], 460 ^ [])), 266 : subset(457 ^ [], 460 ^ [])],extension(264 ^ 1,bind([[_68034, _68036], [460 ^ [], 457 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(subset(457 ^ [], 460 ^ [])), 356 : ordinal_subset(457 ^ [], 460 ^ []), 356 : ordinal(457 ^ []), 356 : ordinal(460 ^ [])],extension(348 ^ 4,bind([[_70587, _70589], [460 ^ [], 457 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(ordinal_subset(457 ^ [], 460 ^ [])), ordinal(457 ^ []), ordinal(460 ^ []), -(ordinal_subset(460 ^ [], 457 ^ []))],extension(240 ^ 7,bind([[_67366, _67368], [460 ^ [], 457 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1.1',plain,[-(ordinal(457 ^ []))],extension(459 ^ 8)).
% 0.33/1.37  ncf('1.1.1.1.2',plain,[-(ordinal(460 ^ []))],extension(462 ^ 8)).
% 0.33/1.37  ncf('1.1.1.1.3',plain,[ordinal_subset(460 ^ [], 457 ^ []), 356 : -(subset(460 ^ [], 457 ^ [])), 356 : ordinal(460 ^ []), 356 : ordinal(457 ^ [])],extension(348 ^ 8,bind([[_70587, _70589], [457 ^ [], 460 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1.3.1',plain,[subset(460 ^ [], 457 ^ [])],extension(268 ^ 11)).
% 0.33/1.37  ncf('1.1.1.1.3.2',plain,[-(ordinal(460 ^ []))],lemmata('[1, 1, 1].x')).
% 0.33/1.37  ncf('1.1.1.1.3.3',plain,[-(ordinal(457 ^ []))],lemmata('[1, 1, 1].x')).
% 0.33/1.37  ncf('1.1.1.2',plain,[-(ordinal(457 ^ []))],extension(459 ^ 5)).
% 0.33/1.37  ncf('1.1.1.3',plain,[-(ordinal(460 ^ []))],extension(462 ^ 5)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------