%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM395+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 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM395+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 17:53:41 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(328 ^ _40549) ^ [] : [ordinal(empty_set)], (139 ^ _40549) ^ [_44856] : [-(element(137 ^ [_44856], _44856))], (141 ^ _40549) ^ [_44968, _44970] : [element(_44970, _44968), -(empty(_44968)), -(in(_44970, _44968))], (151 ^ _40549) ^ [_45266, _45268] : [in(_45268, _45266), in(_45266, _45268)], (157 ^ _40549) ^ [_45477, _45479] : [in(_45479, _45477), -(element(_45479, _45477))], (163 ^ _40549) ^ [_45673] : [empty(_45673), -(function(_45673))], (169 ^ _40549) ^ [_45859] : [180 ^ _40549 : [(181 ^ _40549) ^ [] : [-(relation(_45859))], (183 ^ _40549) ^ [] : [-(function(_45859))], (185 ^ _40549) ^ [] : [-(one_to_one(_45859))]], relation(_45859), empty(_45859), function(_45859)], (187 ^ _40549) ^ [_46352] : [empty(_46352), -(relation(_46352))], (193 ^ _40549) ^ [_46552, _46554] : [in(_46554, _46552), empty(_46552)], (199 ^ _40549) ^ [_46759, _46761] : [empty(_46761), -(_46761 = _46759), empty(_46759)], (209 ^ _40549) ^ [_47042] : [ordinal(_47042), 212 ^ _40549 : [(213 ^ _40549) ^ [] : [-(epsilon_transitive(_47042))], (215 ^ _40549) ^ [] : [-(epsilon_connected(_47042))]]], (217 ^ _40549) ^ [_47299] : [-(ordinal(_47299)), epsilon_transitive(_47299), epsilon_connected(_47299)], (228 ^ _40549) ^ [] : [-(epsilon_transitive(226 ^ []))], (230 ^ _40549) ^ [] : [-(epsilon_connected(226 ^ []))], (232 ^ _40549) ^ [] : [-(ordinal(226 ^ []))], (235 ^ _40549) ^ [] : [-(relation(233 ^ []))], (237 ^ _40549) ^ [] : [-(function(233 ^ []))], (240 ^ _40549) ^ [] : [-(relation(238 ^ []))], (242 ^ _40549) ^ [] : [-(empty(238 ^ []))], (244 ^ _40549) ^ [] : [-(function(238 ^ []))], (247 ^ _40549) ^ [] : [-(relation(245 ^ []))], (249 ^ _40549) ^ [] : [-(function(245 ^ []))], (251 ^ _40549) ^ [] : [-(one_to_one(245 ^ []))], (254 ^ _40549) ^ [] : [-(relation(252 ^ []))], (256 ^ _40549) ^ [] : [-(relation_empty_yielding(252 ^ []))], (258 ^ _40549) ^ [] : [-(function(252 ^ []))], (261 ^ _40549) ^ [] : [-(relation(259 ^ []))], (263 ^ _40549) ^ [] : [-(relation_non_empty(259 ^ []))], (265 ^ _40549) ^ [] : [-(function(259 ^ []))], (267 ^ _40549) ^ [] : [-(empty(empty_set))], (269 ^ _40549) ^ [] : [-(relation(empty_set))], (271 ^ _40549) ^ [] : [-(empty(empty_set))], (273 ^ _40549) ^ [] : [-(relation(empty_set))], (275 ^ _40549) ^ [] : [-(relation_empty_yielding(empty_set))], (278 ^ _40549) ^ [] : [-(empty(276 ^ []))], (280 ^ _40549) ^ [] : [-(relation(276 ^ []))], (283 ^ _40549) ^ [] : [empty(281 ^ [])], (285 ^ _40549) ^ [] : [-(relation(281 ^ []))], (288 ^ _40549) ^ [] : [-(relation(286 ^ []))], (290 ^ _40549) ^ [] : [-(relation_empty_yielding(286 ^ []))], (292 ^ _40549) ^ [] : [-(empty(empty_set))], (295 ^ _40549) ^ [] : [-(empty(293 ^ []))], (298 ^ _40549) ^ [] : [empty(296 ^ [])], (300 ^ _40549) ^ [_49713] : [empty(_49713), -(_49713 = empty_set)], (324 ^ _40549) ^ [] : [-(epsilon_transitive(empty_set))], (326 ^ _40549) ^ [] : [-(epsilon_connected(empty_set))], (306 ^ _40549) ^ [_49930] : [ordinal(_49930), 309 ^ _40549 : [(310 ^ _40549) ^ [] : [-(epsilon_transitive(_49930))], (312 ^ _40549) ^ [] : [-(epsilon_connected(_49930))]]], (314 ^ _40549) ^ [_50153] : [-(ordinal(_50153)), epsilon_transitive(_50153), epsilon_connected(_50153)], (2 ^ _40549) ^ [_40673] : [-(_40673 = _40673)], (4 ^ _40549) ^ [_40780, _40782] : [_40782 = _40780, -(_40780 = _40782)], (10 ^ _40549) ^ [_40984, _40986, _40988] : [-(_40988 = _40984), _40988 = _40986, _40986 = _40984], (20 ^ _40549) ^ [_41325, _41327, _41329, _41331] : [-(element(_41329, _41325)), element(_41331, _41327), _41331 = _41329, _41327 = _41325], (34 ^ _40549) ^ [_41769, _41771, _41773, _41775] : [-(in(_41773, _41769)), in(_41775, _41771), _41775 = _41773, _41771 = _41769], (48 ^ _40549) ^ [_42185, _42187] : [-(one_to_one(_42185)), _42187 = _42185, one_to_one(_42187)], (58 ^ _40549) ^ [_42480, _42482] : [-(relation_non_empty(_42480)), _42482 = _42480, relation_non_empty(_42482)], (68 ^ _40549) ^ [_42775, _42777] : [-(function(_42775)), _42777 = _42775, function(_42777)], (78 ^ _40549) ^ [_43070, _43072] : [-(relation(_43070)), _43072 = _43070, relation(_43072)], (88 ^ _40549) ^ [_43365, _43367] : [-(relation_empty_yielding(_43365)), _43367 = _43365, relation_empty_yielding(_43367)], (98 ^ _40549) ^ [_43660, _43662] : [-(empty(_43660)), _43662 = _43660, empty(_43662)], (108 ^ _40549) ^ [_43955, _43957] : [-(epsilon_transitive(_43955)), _43957 = _43955, epsilon_transitive(_43957)], (118 ^ _40549) ^ [_44250, _44252] : [-(epsilon_connected(_44250)), _44252 = _44250, epsilon_connected(_44252)], (128 ^ _40549) ^ [_44525, _44527] : [-(ordinal(_44525)), _44527 = _44525, ordinal(_44527)]], input).
% 0.31/1.37  ncf('1',plain,[ordinal(empty_set)],start(328 ^ 0)).
% 0.31/1.37  ncf('1.1',plain,[-(ordinal(empty_set)), epsilon_transitive(empty_set), epsilon_connected(empty_set)],extension(217 ^ 1,bind([[_47299], [empty_set]]))).
% 0.31/1.37  ncf('1.1.1',plain,[-(epsilon_transitive(empty_set))],extension(324 ^ 2)).
% 0.31/1.37  ncf('1.1.2',plain,[-(epsilon_connected(empty_set))],extension(326 ^ 2)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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