%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET997+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 11:56:47 EDT 2023

% Result   : Theorem 0.44s 1.40s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET997+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.35  % Computer : n002.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu May 18 19:03:49 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.44/1.40  
% 0.44/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.44/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.40  %-----------------------------------------------------
% 0.44/1.40  ncf(matrix, plain, [(387 ^ _55281) ^ [] : [-(relation(385 ^ []))], (389 ^ _55281) ^ [] : [-(function(385 ^ []))], (400 ^ _55281) ^ [] : [subset(384 ^ [], relation_rng(385 ^ []))], (391 ^ _55281) ^ [_68539] : [in(_68539, 384 ^ []), 395 ^ _55281 : [(396 ^ _55281) ^ [] : [-(in(394 ^ [_68539], relation_dom(385 ^ [])))], (398 ^ _55281) ^ [] : [-(_68539 = apply(385 ^ [], 394 ^ [_68539]))]]], (102 ^ _55281) ^ [_58559, _58561] : [_58561 = _58559, -(powerset(_58561) = powerset(_58559))], (108 ^ _55281) ^ [_58777, _58779] : [_58779 = _58777, -(relation_dom(_58779) = relation_dom(_58777))], (124 ^ _55281) ^ [_59334, _59336] : [_59336 = _59334, -(relation_rng(_59336) = relation_rng(_59334))], (114 ^ _55281) ^ [_59023, _59025, _59027, _59029] : [-(apply(_59029, _59025) = apply(_59027, _59023)), _59029 = _59027, _59025 = _59023], (2 ^ _55281) ^ [_55425] : [-(_55425 = _55425)], (4 ^ _55281) ^ [_55532, _55534] : [_55534 = _55532, -(_55532 = _55534)], (10 ^ _55281) ^ [_55736, _55738, _55740] : [-(_55740 = _55736), _55740 = _55738, _55738 = _55736], (20 ^ _55281) ^ [_56049, _56051] : [-(relation_empty_yielding(_56049)), _56051 = _56049, relation_empty_yielding(_56051)], (30 ^ _55281) ^ [_56372, _56374, _56376, _56378] : [-(element(_56376, _56372)), element(_56378, _56374), _56378 = _56376, _56374 = _56372], (44 ^ _55281) ^ [_56788, _56790] : [-(empty(_56788)), _56790 = _56788, empty(_56790)], (54 ^ _55281) ^ [_57083, _57085] : [-(relation(_57083)), _57085 = _57083, relation(_57085)], (64 ^ _55281) ^ [_57378, _57380] : [-(function(_57378)), _57380 = _57378, function(_57380)], (74 ^ _55281) ^ [_57701, _57703, _57705, _57707] : [-(in(_57705, _57701)), in(_57707, _57703), _57707 = _57705, _57703 = _57701], (88 ^ _55281) ^ [_58125, _58127, _58129, _58131] : [-(subset(_58129, _58125)), subset(_58131, _58127), _58131 = _58129, _58127 = _58125], (130 ^ _55281) ^ [_59566, _59568] : [in(_59568, _59566), in(_59566, _59568)], (136 ^ _55281) ^ [_59763] : [empty(_59763), -(function(_59763))], (142 ^ _55281) ^ [_59949] : [empty(_59949), -(relation(_59949))], (158 ^ _55281) ^ [_60492, _60494] : [160 ^ _55281 : [(161 ^ _55281) ^ [] : [-(in(159 ^ [_60492, _60494], _60494))], (163 ^ _55281) ^ [] : [in(159 ^ [_60492, _60494], _60492)]], -(subset(_60494, _60492))], (148 ^ _55281) ^ [_60178, _60180] : [subset(_60180, _60178), 151 ^ _55281 : [(152 ^ _55281) ^ [_60315] : [in(_60315, _60180), -(in(_60315, _60178))]]], (167 ^ _55281) ^ [_60835] : [relation(_60835), function(_60835), 174 ^ _55281 : [(198 ^ _55281) ^ [_61989] : [-(_61989 = relation_rng(_60835)), 211 ^ _55281 : [(212 ^ _55281) ^ [] : [-(in(210 ^ [_60835, _61989], relation_dom(_60835)))], (214 ^ _55281) ^ [] : [-(199 ^ [_60835, _61989] = apply(_60835, 210 ^ [_60835, _61989]))], (216 ^ _55281) ^ [] : [in(199 ^ [_60835, _61989], _61989)]], 202 ^ _55281 : [(203 ^ _55281) ^ [] : [-(in(199 ^ [_60835, _61989], _61989))], (205 ^ _55281) ^ [_62284] : [in(_62284, relation_dom(_60835)), 199 ^ [_60835, _61989] = apply(_60835, _62284)]]], (175 ^ _55281) ^ [_61107] : [_61107 = relation_rng(_60835), 178 ^ _55281 : [(179 ^ _55281) ^ [_61295] : [in(_61295, _61107), 183 ^ _55281 : [(184 ^ _55281) ^ [] : [-(in(182 ^ [_60835, _61107, _61295], relation_dom(_60835)))], (186 ^ _55281) ^ [] : [-(_61295 = apply(_60835, 182 ^ [_60835, _61107, _61295]))]]], (188 ^ _55281) ^ [_61637] : [-(in(_61637, _61107)), 189 ^ _55281 : [(190 ^ _55281) ^ [_61740] : [in(_61740, relation_dom(_60835)), _61637 = apply(_60835, _61740)]]]]]]], (221 ^ _55281) ^ [_62885] : [-(element(219 ^ [_62885], _62885))], (223 ^ _55281) ^ [] : [-(empty(empty_set))], (225 ^ _55281) ^ [] : [-(relation(empty_set))], (227 ^ _55281) ^ [] : [-(relation_empty_yielding(empty_set))], (229 ^ _55281) ^ [_63130] : [empty(powerset(_63130))], (231 ^ _55281) ^ [] : [-(empty(empty_set))], (233 ^ _55281) ^ [] : [-(empty(empty_set))], (235 ^ _55281) ^ [] : [-(relation(empty_set))], (237 ^ _55281) ^ [_63385] : [empty(relation_dom(_63385)), -(empty(_63385)), relation(_63385)], (247 ^ _55281) ^ [_63662] : [empty(relation_rng(_63662)), -(empty(_63662)), relation(_63662)], (257 ^ _55281) ^ [_63939] : [empty(_63939), 260 ^ _55281 : [(261 ^ _55281) ^ [] : [-(empty(relation_dom(_63939)))], (263 ^ _55281) ^ [] : [-(relation(relation_dom(_63939)))]]], (265 ^ _55281) ^ [_64204] : [empty(_64204), 268 ^ _55281 : [(269 ^ _55281) ^ [] : [-(empty(relation_rng(_64204)))], (271 ^ _55281) ^ [] : [-(relation(relation_rng(_64204)))]]], (274 ^ _55281) ^ [] : [-(relation(272 ^ []))], (276 ^ _55281) ^ [] : [-(function(272 ^ []))], (279 ^ _55281) ^ [] : [-(empty(277 ^ []))], (281 ^ _55281) ^ [] : [-(relation(277 ^ []))], (283 ^ _55281) ^ [_64767] : [-(empty(_64767)), 287 ^ _55281 : [(288 ^ _55281) ^ [] : [-(element(286 ^ [_64767], powerset(_64767)))], (290 ^ _55281) ^ [] : [empty(286 ^ [_64767])]]], (293 ^ _55281) ^ [] : [-(empty(291 ^ []))], (296 ^ _55281) ^ [] : [empty(294 ^ [])], (298 ^ _55281) ^ [] : [-(relation(294 ^ []))], (301 ^ _55281) ^ [_65389] : [-(element(299 ^ [_65389], powerset(_65389)))], (303 ^ _55281) ^ [_65440] : [-(empty(299 ^ [_65440]))], (306 ^ _55281) ^ [] : [empty(304 ^ [])], (309 ^ _55281) ^ [] : [-(relation(307 ^ []))], (311 ^ _55281) ^ [] : [-(relation_empty_yielding(307 ^ []))], (313 ^ _55281) ^ [_65777, _65779] : [-(subset(_65779, _65779))], (315 ^ _55281) ^ [_65886, _65888] : [in(_65888, _65886), -(element(_65888, _65886))], (321 ^ _55281) ^ [_66096, _66098] : [element(_66098, _66096), -(empty(_66096)), -(in(_66098, _66096))], (331 ^ _55281) ^ [_66423, _66425] : [element(_66425, powerset(_66423)), -(subset(_66425, _66423))], (337 ^ _55281) ^ [_66589, _66591] : [subset(_66591, _66589), -(element(_66591, powerset(_66589)))], (343 ^ _55281) ^ [_66819, _66821, _66823] : [-(element(_66823, _66819)), in(_66823, _66821), element(_66821, powerset(_66819))], (353 ^ _55281) ^ [_67146, _67148, _67150] : [in(_67150, _67148), element(_67148, powerset(_67146)), empty(_67146)], (363 ^ _55281) ^ [_67442] : [empty(_67442), -(_67442 = empty_set)], (369 ^ _55281) ^ [_67644, _67646] : [in(_67646, _67644), empty(_67644)], (375 ^ _55281) ^ [_67831, _67833] : [empty(_67833), -(_67833 = _67831), empty(_67831)]], input).
% 0.44/1.40  ncf('1',plain,[subset(384 ^ [], relation_rng(385 ^ []))],start(400 ^ 0)).
% 0.44/1.40  ncf('1.1',plain,[-(subset(384 ^ [], relation_rng(385 ^ []))), 163 : in(159 ^ [relation_rng(385 ^ []), 384 ^ []], relation_rng(385 ^ []))],extension(158 ^ 1,bind([[_60492, _60494], [relation_rng(385 ^ []), 384 ^ []]]))).
% 0.44/1.40  ncf('1.1.1',plain,[-(in(159 ^ [relation_rng(385 ^ []), 384 ^ []], relation_rng(385 ^ []))), 190 : in(394 ^ [159 ^ [relation_rng(385 ^ []), 384 ^ []]], relation_dom(385 ^ [])), 190 : 159 ^ [relation_rng(385 ^ []), 384 ^ []] = apply(385 ^ [], 394 ^ [159 ^ [relation_rng(385 ^ []), 384 ^ []]]), 188 : relation_rng(385 ^ []) = relation_rng(385 ^ []), 175 : relation(385 ^ []), 175 : function(385 ^ [])],extension(167 ^ 4,bind([[_60835, _61107, _61637, _61740], [385 ^ [], relation_rng(385 ^ []), 159 ^ [relation_rng(385 ^ []), 384 ^ []], 394 ^ [159 ^ [relation_rng(385 ^ []), 384 ^ []]]]]))).
% 0.44/1.40  ncf('1.1.1.1',plain,[-(in(394 ^ [159 ^ [relation_rng(385 ^ []), 384 ^ []]], relation_dom(385 ^ []))), in(159 ^ [relation_rng(385 ^ []), 384 ^ []], 384 ^ [])],extension(391 ^ 11,bind([[_68539], [159 ^ [relation_rng(385 ^ []), 384 ^ []]]]))).
% 0.44/1.40  ncf('1.1.1.1.1',plain,[-(in(159 ^ [relation_rng(385 ^ []), 384 ^ []], 384 ^ []))],extension(161 ^ 12)).
% 0.44/1.40  ncf('1.1.1.2',plain,[-(159 ^ [relation_rng(385 ^ []), 384 ^ []] = apply(385 ^ [], 394 ^ [159 ^ [relation_rng(385 ^ []), 384 ^ []]])), in(159 ^ [relation_rng(385 ^ []), 384 ^ []], 384 ^ [])],extension(391 ^ 11,bind([[_68539], [159 ^ [relation_rng(385 ^ []), 384 ^ []]]]))).
% 0.44/1.40  ncf('1.1.1.2.1',plain,[-(in(159 ^ [relation_rng(385 ^ []), 384 ^ []], 384 ^ []))],extension(161 ^ 12)).
% 0.44/1.40  ncf('1.1.1.3',plain,[-(relation_rng(385 ^ []) = relation_rng(385 ^ [])), 385 ^ [] = 385 ^ []],extension(124 ^ 7,bind([[_59334, _59336], [385 ^ [], 385 ^ []]]))).
% 0.44/1.40  ncf('1.1.1.3.1',plain,[-(385 ^ [] = 385 ^ [])],extension(2 ^ 8,bind([[_55425], [385 ^ []]]))).
% 0.44/1.40  ncf('1.1.1.4',plain,[-(relation(385 ^ []))],extension(387 ^ 5)).
% 0.44/1.40  ncf('1.1.1.5',plain,[-(function(385 ^ []))],extension(389 ^ 5)).
% 0.44/1.40  %-----------------------------------------------------
% 0.44/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------