%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU045+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 12:02:07 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
% 0.03/0.12  % Problem  : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 13:30:04 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(434 ^ _60361) ^ [] : [-(relation(432 ^ []))], (436 ^ _60361) ^ [] : [-(function(432 ^ []))], (438 ^ _60361) ^ [] : [-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))))], (440 ^ _60361) ^ [] : [apply(relation_rng_restriction(430 ^ [], 432 ^ []), 431 ^ []) = apply(432 ^ [], 431 ^ [])], (112 ^ _60361) ^ [_63936, _63938] : [_63938 = _63936, -(powerset(_63938) = powerset(_63936))], (118 ^ _60361) ^ [_64154, _64156] : [_64156 = _64154, -(relation_dom(_64156) = relation_dom(_64154))], (124 ^ _60361) ^ [_64400, _64402, _64404, _64406] : [-(relation_rng_restriction(_64406, _64402) = relation_rng_restriction(_64404, _64400)), _64406 = _64404, _64402 = _64400], (134 ^ _60361) ^ [_64739, _64741, _64743, _64745] : [-(apply(_64745, _64741) = apply(_64743, _64739)), _64745 = _64743, _64741 = _64739], (2 ^ _60361) ^ [_60505] : [-(_60505 = _60505)], (4 ^ _60361) ^ [_60612, _60614] : [_60614 = _60612, -(_60612 = _60614)], (10 ^ _60361) ^ [_60816, _60818, _60820] : [-(_60820 = _60816), _60820 = _60818, _60818 = _60816], (20 ^ _60361) ^ [_61157, _61159, _61161, _61163] : [-(subset(_61161, _61157)), subset(_61163, _61159), _61163 = _61161, _61159 = _61157], (34 ^ _60361) ^ [_61573, _61575] : [-(one_to_one(_61573)), _61575 = _61573, one_to_one(_61575)], (44 ^ _60361) ^ [_61868, _61870] : [-(relation_empty_yielding(_61868)), _61870 = _61868, relation_empty_yielding(_61870)], (54 ^ _60361) ^ [_62191, _62193, _62195, _62197] : [-(element(_62195, _62191)), element(_62197, _62193), _62197 = _62195, _62193 = _62191], (68 ^ _60361) ^ [_62607, _62609] : [-(empty(_62607)), _62609 = _62607, empty(_62609)], (78 ^ _60361) ^ [_62902, _62904] : [-(relation(_62902)), _62904 = _62902, relation(_62904)], (88 ^ _60361) ^ [_63197, _63199] : [-(function(_63197)), _63199 = _63197, function(_63199)], (98 ^ _60361) ^ [_63500, _63502, _63504, _63506] : [-(in(_63504, _63500)), in(_63506, _63502), _63506 = _63504, _63502 = _63500], (144 ^ _60361) ^ [_65069, _65071] : [-(subset(_65071, _65071))], (146 ^ _60361) ^ [] : [-(empty(empty_set))], (148 ^ _60361) ^ [] : [-(relation(empty_set))], (150 ^ _60361) ^ [] : [-(empty(empty_set))], (152 ^ _60361) ^ [] : [-(relation(empty_set))], (154 ^ _60361) ^ [] : [-(relation_empty_yielding(empty_set))], (156 ^ _60361) ^ [] : [-(empty(empty_set))], (159 ^ _60361) ^ [_65512] : [-(element(157 ^ [_65512], _65512))], (161 ^ _60361) ^ [_65610] : [empty(_65610), -(function(_65610))], (167 ^ _60361) ^ [_65796] : [178 ^ _60361 : [(179 ^ _60361) ^ [] : [-(relation(_65796))], (181 ^ _60361) ^ [] : [-(function(_65796))], (183 ^ _60361) ^ [] : [-(one_to_one(_65796))]], relation(_65796), empty(_65796), function(_65796)], (185 ^ _60361) ^ [_66273] : [empty(powerset(_66273))], (187 ^ _60361) ^ [_66367] : [empty(relation_dom(_66367)), -(empty(_66367)), relation(_66367)], (197 ^ _60361) ^ [_66644] : [empty(_66644), 200 ^ _60361 : [(201 ^ _60361) ^ [] : [-(empty(relation_dom(_66644)))], (203 ^ _60361) ^ [] : [-(relation(relation_dom(_66644)))]]], (205 ^ _60361) ^ [_66909] : [empty(_66909), -(relation(_66909))], (211 ^ _60361) ^ [_67109, _67111] : [element(_67111, _67109), -(empty(_67109)), -(in(_67111, _67109))], (221 ^ _60361) ^ [_67436, _67438] : [element(_67438, powerset(_67436)), -(subset(_67438, _67436))], (227 ^ _60361) ^ [_67602, _67604] : [subset(_67604, _67602), -(element(_67604, powerset(_67602)))], (233 ^ _60361) ^ [_67832, _67834, _67836] : [-(element(_67836, _67832)), in(_67836, _67834), element(_67834, powerset(_67832))], (243 ^ _60361) ^ [_68159, _68161, _68163] : [in(_68163, _68161), element(_68161, powerset(_68159)), empty(_68159)], (253 ^ _60361) ^ [_68455] : [empty(_68455), -(_68455 = empty_set)], (259 ^ _60361) ^ [_68657, _68659] : [empty(_68659), -(_68659 = _68657), empty(_68657)], (269 ^ _60361) ^ [_68954, _68956] : [in(_68956, _68954), in(_68954, _68956)], (275 ^ _60361) ^ [_69165, _69167] : [relation(_69165), -(relation(relation_rng_restriction(_69167, _69165)))], (281 ^ _60361) ^ [_69377, _69379] : [288 ^ _60361 : [(289 ^ _60361) ^ [] : [-(relation(relation_rng_restriction(_69379, _69377)))], (291 ^ _60361) ^ [] : [-(function(relation_rng_restriction(_69379, _69377)))]], relation(_69377), function(_69377)], (294 ^ _60361) ^ [] : [-(relation(292 ^ []))], (296 ^ _60361) ^ [] : [-(function(292 ^ []))], (299 ^ _60361) ^ [] : [-(relation(297 ^ []))], (301 ^ _60361) ^ [] : [-(empty(297 ^ []))], (303 ^ _60361) ^ [] : [-(function(297 ^ []))], (306 ^ _60361) ^ [] : [-(relation(304 ^ []))], (308 ^ _60361) ^ [] : [-(function(304 ^ []))], (310 ^ _60361) ^ [] : [-(one_to_one(304 ^ []))], (312 ^ _60361) ^ [_70308] : [-(empty(_70308)), 316 ^ _60361 : [(317 ^ _60361) ^ [] : [-(element(315 ^ [_70308], powerset(_70308)))], (319 ^ _60361) ^ [] : [empty(315 ^ [_70308])]]], (322 ^ _60361) ^ [_70691] : [-(element(320 ^ [_70691], powerset(_70691)))], (324 ^ _60361) ^ [_70742] : [-(empty(320 ^ [_70742]))], (327 ^ _60361) ^ [] : [-(empty(325 ^ []))], (329 ^ _60361) ^ [] : [-(relation(325 ^ []))], (332 ^ _60361) ^ [] : [empty(330 ^ [])], (334 ^ _60361) ^ [] : [-(relation(330 ^ []))], (337 ^ _60361) ^ [] : [-(relation(335 ^ []))], (339 ^ _60361) ^ [] : [-(relation_empty_yielding(335 ^ []))], (342 ^ _60361) ^ [] : [-(empty(340 ^ []))], (345 ^ _60361) ^ [] : [empty(343 ^ [])], (347 ^ _60361) ^ [_71482, _71484] : [in(_71484, _71482), -(element(_71484, _71482))], (353 ^ _60361) ^ [_71692, _71694] : [in(_71694, _71692), empty(_71692)], (359 ^ _60361) ^ [_71879, _71881] : [relation(_71879), function(_71879), 366 ^ _60361 : [(367 ^ _60361) ^ [_72163] : [relation(_72163), function(_72163), 374 ^ _60361 : [(403 ^ _60361) ^ [] : [-(_71879 = relation_rng_restriction(_71881, _72163)), 424 ^ _60361 : [(425 ^ _60361) ^ [] : [-(in(423 ^ [_71879, _71881, _72163], relation_dom(_71879)))], (427 ^ _60361) ^ [] : [apply(_71879, 423 ^ [_71879, _71881, _72163]) = apply(_72163, 423 ^ [_71879, _71881, _72163])]], 417 ^ _60361 : [(418 ^ _60361) ^ [] : [-(in(406 ^ [_71879, _71881, _72163], relation_dom(_72163)))], (420 ^ _60361) ^ [] : [-(in(apply(_72163, 406 ^ [_71879, _71881, _72163]), _71881))], (422 ^ _60361) ^ [] : [in(406 ^ [_71879, _71881, _72163], relation_dom(_71879))]], 409 ^ _60361 : [(410 ^ _60361) ^ [] : [-(in(406 ^ [_71879, _71881, _72163], relation_dom(_71879)))], (412 ^ _60361) ^ [] : [in(406 ^ [_71879, _71881, _72163], relation_dom(_72163)), in(apply(_72163, 406 ^ [_71879, _71881, _72163]), _71881)]]], (375 ^ _60361) ^ [] : [_71879 = relation_rng_restriction(_71881, _72163), 378 ^ _60361 : [(397 ^ _60361) ^ [_73188] : [in(_73188, relation_dom(_71879)), -(apply(_71879, _73188) = apply(_72163, _73188))], (379 ^ _60361) ^ [_72608] : [in(_72608, relation_dom(_71879)), 382 ^ _60361 : [(383 ^ _60361) ^ [] : [-(in(_72608, relation_dom(_72163)))], (385 ^ _60361) ^ [] : [-(in(apply(_72163, _72608), _71881))]]], (387 ^ _60361) ^ [_72881] : [-(in(_72881, relation_dom(_71879))), in(_72881, relation_dom(_72163)), in(apply(_72163, _72881), _71881)]]]]]]]], input).
% 0.33/1.37  ncf('1',plain,[apply(relation_rng_restriction(430 ^ [], 432 ^ []), 431 ^ []) = apply(432 ^ [], 431 ^ [])],start(440 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(apply(relation_rng_restriction(430 ^ [], 432 ^ []), 431 ^ []) = apply(432 ^ [], 431 ^ [])), 397 : in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))), 397 : relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []), 375 : relation(432 ^ []), 375 : function(432 ^ []), 367 : relation(relation_rng_restriction(430 ^ [], 432 ^ [])), 367 : function(relation_rng_restriction(430 ^ [], 432 ^ []))],extension(359 ^ 1,bind([[_71879, _71881, _72163, _73188], [relation_rng_restriction(430 ^ [], 432 ^ []), 430 ^ [], 432 ^ [], 431 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(in(431 ^ [], relation_dom(relation_rng_restriction(430 ^ [], 432 ^ []))))],extension(438 ^ 8)).
% 0.33/1.37  ncf('1.1.2',plain,[-(relation_rng_restriction(430 ^ [], 432 ^ []) = relation_rng_restriction(430 ^ [], 432 ^ []))],extension(2 ^ 6,bind([[_60505], [relation_rng_restriction(430 ^ [], 432 ^ [])]]))).
% 0.33/1.37  ncf('1.1.3',plain,[-(relation(432 ^ []))],extension(434 ^ 4)).
% 0.33/1.37  ncf('1.1.4',plain,[-(function(432 ^ []))],extension(436 ^ 4)).
% 0.33/1.37  ncf('1.1.5',plain,[-(relation(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ [])],extension(275 ^ 2,bind([[_69165, _69167], [432 ^ [], 430 ^ []]]))).
% 0.33/1.37  ncf('1.1.5.1',plain,[-(relation(432 ^ []))],extension(434 ^ 3)).
% 0.33/1.37  ncf('1.1.6',plain,[-(function(relation_rng_restriction(430 ^ [], 432 ^ []))), relation(432 ^ []), function(432 ^ [])],extension(281 ^ 2,bind([[_69377, _69379], [432 ^ [], 430 ^ []]]))).
% 0.33/1.37  ncf('1.1.6.1',plain,[-(relation(432 ^ []))],extension(434 ^ 3)).
% 0.33/1.37  ncf('1.1.6.2',plain,[-(function(432 ^ []))],extension(436 ^ 3)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------