%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% 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 11:11:54 EDT 2023

% Result   : Theorem 0.39s 1.40s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:25:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.39/1.40  
% 0.39/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.39/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.40  %-----------------------------------------------------
% 0.39/1.40  ncf(matrix, plain, [(464 ^ _58539) ^ [] : [-(open(462 ^ []))], (466 ^ _58539) ^ [_74387, _74389] : [-(_74389 = _74387), end_point(_74389, 462 ^ []), end_point(_74387, 462 ^ [])], (114 ^ _58539) ^ [_62288, _62290, _62292, _62294] : [-(sum(_62294, _62290) = sum(_62292, _62288)), _62294 = _62292, _62290 = _62288], (2 ^ _58539) ^ [_58683] : [-(_58683 = _58683)], (4 ^ _58539) ^ [_58790, _58792] : [_58792 = _58790, -(_58790 = _58792)], (10 ^ _58539) ^ [_58994, _58996, _58998] : [-(_58998 = _58994), _58998 = _58996, _58996 = _58994], (20 ^ _58539) ^ [_59335, _59337, _59339, _59341] : [-(part_of(_59339, _59335)), part_of(_59341, _59337), _59341 = _59339, _59337 = _59335], (34 ^ _58539) ^ [_59779, _59781, _59783, _59785] : [-(inner_point(_59783, _59779)), inner_point(_59785, _59781), _59785 = _59783, _59781 = _59779], (48 ^ _58539) ^ [_60195, _60197] : [-(closed(_60195)), _60197 = _60195, closed(_60197)], (58 ^ _58539) ^ [_60546, _60548, _60550, _60552, _60554, _60556] : [-(meet(_60554, _60550, _60546)), meet(_60556, _60552, _60548), _60556 = _60554, _60552 = _60550, _60548 = _60546], (76 ^ _58539) ^ [_61127, _61129, _61131, _61133] : [-(incident_c(_61131, _61127)), incident_c(_61133, _61129), _61133 = _61131, _61129 = _61127], (90 ^ _58539) ^ [_61543, _61545] : [-(open(_61543)), _61545 = _61543, open(_61545)], (100 ^ _58539) ^ [_61846, _61848, _61850, _61852] : [-(end_point(_61850, _61846)), end_point(_61852, _61848), _61852 = _61850, _61848 = _61846], (134 ^ _58539) ^ [_62964, _62966] : [136 ^ _58539 : [(137 ^ _58539) ^ [] : [-(incident_c(135 ^ [_62964, _62966], _62964))], (139 ^ _58539) ^ [] : [incident_c(135 ^ [_62964, _62966], _62966)]], -(part_of(_62964, _62966))], (124 ^ _58539) ^ [_62650, _62652] : [part_of(_62650, _62652), 127 ^ _58539 : [(128 ^ _58539) ^ [_62787] : [incident_c(_62787, _62650), -(incident_c(_62787, _62652))]]], (165 ^ _58539) ^ [_64089, _64091, _64093] : [-(_64093 = sum(_64091, _64089)), 169 ^ _58539 : [(170 ^ _58539) ^ [] : [-(incident_c(166 ^ [_64089, _64091, _64093], _64093))], (172 ^ _58539) ^ [] : [incident_c(166 ^ [_64089, _64091, _64093], _64091)], (174 ^ _58539) ^ [] : [incident_c(166 ^ [_64089, _64091, _64093], _64089)]], 175 ^ _58539 : [(182 ^ _58539) ^ [] : [incident_c(166 ^ [_64089, _64091, _64093], _64093)], (176 ^ _58539) ^ [] : [-(incident_c(166 ^ [_64089, _64091, _64093], _64091)), -(incident_c(166 ^ [_64089, _64091, _64093], _64089))]]], (143 ^ _58539) ^ [_63364, _63366, _63368] : [_63368 = sum(_63366, _63364), 146 ^ _58539 : [(157 ^ _58539) ^ [_63824] : [158 ^ _58539 : [(159 ^ _58539) ^ [] : [incident_c(_63824, _63366)], (161 ^ _58539) ^ [] : [incident_c(_63824, _63364)]], -(incident_c(_63824, _63368))], (147 ^ _58539) ^ [_63546] : [incident_c(_63546, _63368), -(incident_c(_63546, _63366)), -(incident_c(_63546, _63364))]]], (214 ^ _58539) ^ [_65697, _65699] : [-(end_point(_65699, _65697)), incident_c(_65699, _65697), 221 ^ _58539 : [(222 ^ _58539) ^ [] : [-(part_of(219 ^ [_65697, _65699], _65697))], (224 ^ _58539) ^ [] : [-(part_of(220 ^ [_65697, _65699], _65697))], (226 ^ _58539) ^ [] : [-(incident_c(_65699, 219 ^ [_65697, _65699]))], (228 ^ _58539) ^ [] : [-(incident_c(_65699, 220 ^ [_65697, _65699]))], (230 ^ _58539) ^ [] : [part_of(219 ^ [_65697, _65699], 220 ^ [_65697, _65699])], (232 ^ _58539) ^ [] : [part_of(220 ^ [_65697, _65699], 219 ^ [_65697, _65699])]]], (186 ^ _58539) ^ [_64869, _64871] : [end_point(_64871, _64869), 189 ^ _58539 : [(190 ^ _58539) ^ [] : [-(incident_c(_64871, _64869))], (192 ^ _58539) ^ [_65121, _65123] : [-(part_of(_65123, _65121)), -(part_of(_65121, _65123)), part_of(_65123, _64869), part_of(_65121, _64869), incident_c(_64871, _65123), incident_c(_64871, _65121)]]], (236 ^ _58539) ^ [_66652, _66654] : [inner_point(_66654, _66652), 239 ^ _58539 : [(240 ^ _58539) ^ [] : [-(incident_c(_66654, _66652))], (242 ^ _58539) ^ [] : [end_point(_66654, _66652)]]], (244 ^ _58539) ^ [_66890, _66892] : [-(inner_point(_66892, _66890)), incident_c(_66892, _66890), -(end_point(_66892, _66890))], (254 ^ _58539) ^ [_67237, _67239, _67241] : [meet(_67241, _67239, _67237), 257 ^ _58539 : [(258 ^ _58539) ^ [] : [-(incident_c(_67241, _67239))], (260 ^ _58539) ^ [] : [-(incident_c(_67241, _67237))], (262 ^ _58539) ^ [_67540] : [269 ^ _58539 : [(270 ^ _58539) ^ [] : [-(end_point(_67540, _67239))], (272 ^ _58539) ^ [] : [-(end_point(_67540, _67237))]], incident_c(_67540, _67239), incident_c(_67540, _67237)]]], (274 ^ _58539) ^ [_67905, _67907, _67909] : [-(meet(_67909, _67907, _67905)), incident_c(_67909, _67907), incident_c(_67909, _67905), 284 ^ _58539 : [(285 ^ _58539) ^ [] : [-(incident_c(283 ^ [_67905, _67907, _67909], _67907))], (287 ^ _58539) ^ [] : [-(incident_c(283 ^ [_67905, _67907, _67909], _67905))], (289 ^ _58539) ^ [] : [end_point(283 ^ [_67905, _67907, _67909], _67907), end_point(283 ^ [_67905, _67907, _67909], _67905)]]], (297 ^ _58539) ^ [_68682] : [closed(_68682), 300 ^ _58539 : [(301 ^ _58539) ^ [_68793] : [end_point(_68793, _68682)]]], (303 ^ _58539) ^ [_68859] : [-(end_point(304 ^ [_68859], _68859)), -(closed(_68859))], (310 ^ _58539) ^ [_69132] : [open(_69132), -(end_point(313 ^ [_69132], _69132))], (317 ^ _58539) ^ [_69337] : [318 ^ _58539 : [(319 ^ _58539) ^ [_69404] : [end_point(_69404, _69337)]], -(open(_69337))], (323 ^ _58539) ^ [_69563, _69565] : [-(open(_69563)), part_of(_69563, _69565), -(_69563 = _69565)], (333 ^ _58539) ^ [_69891, _69893, _69895, _69897] : [part_of(_69895, _69897), part_of(_69893, _69897), part_of(_69891, _69897), 346 ^ _58539 : [(347 ^ _58539) ^ [_70302] : [end_point(_70302, _69895), end_point(_70302, _69893), end_point(_70302, _69891)]], -(part_of(_69893, _69891)), -(part_of(_69891, _69893)), -(part_of(_69895, _69893)), -(part_of(_69893, _69895)), -(part_of(_69895, _69891)), -(part_of(_69891, _69895))], (380 ^ _58539) ^ [_71181] : [-(inner_point(378 ^ [_71181], _71181))], (382 ^ _58539) ^ [_71293, _71295] : [inner_point(_71293, _71295), 387 ^ _58539 : [(388 ^ _58539) ^ [] : [-(meet(_71293, 385 ^ [_71293, _71295], 386 ^ [_71293, _71295]))], (390 ^ _58539) ^ [] : [-(_71295 = sum(385 ^ [_71293, _71295], 386 ^ [_71293, _71295]))]]], (392 ^ _58539) ^ [_71781, _71783, _71785, _71787] : [end_point(_71785, _71787), end_point(_71783, _71787), end_point(_71781, _71787), -(_71785 = _71783), -(_71785 = _71781), -(_71783 = _71781)], (414 ^ _58539) ^ [_72397, _72399] : [end_point(_72397, _72399), 418 ^ _58539 : [(419 ^ _58539) ^ [] : [-(end_point(417 ^ [_72397, _72399], _72399))], (421 ^ _58539) ^ [] : [_72397 = 417 ^ [_72397, _72399]]]], (423 ^ _58539) ^ [_72783, _72785, _72787, _72789] : [434 ^ _58539 : [(435 ^ _58539) ^ [_73129] : [end_point(_73129, _72787), -(meet(_73129, _72787, _72785))]], closed(_72789), meet(_72783, _72787, _72785), _72789 = sum(_72787, _72785)], (441 ^ _58539) ^ [_73372, _73374] : [442 ^ _58539 : [(443 ^ _58539) ^ [_73451] : [meet(_73451, _73374, _73372)]], -(444 ^ [_73372, _73374] = sum(_73374, _73372))], (448 ^ _58539) ^ [_73652, _73654] : [-(_73654 = _73652), 452 ^ _58539 : [(453 ^ _58539) ^ [] : [-(incident_c(449 ^ [_73652, _73654], _73654))], (455 ^ _58539) ^ [] : [incident_c(449 ^ [_73652, _73654], _73652)]], 456 ^ _58539 : [(457 ^ _58539) ^ [] : [-(incident_c(449 ^ [_73652, _73654], _73652))], (459 ^ _58539) ^ [] : [incident_c(449 ^ [_73652, _73654], _73654)]]]], input).
% 0.39/1.40  ncf('1',plain,[end_point(313 ^ [462 ^ []], 462 ^ []), 421 : 313 ^ [462 ^ []] = 417 ^ [313 ^ [462 ^ []], 462 ^ []]],start(414 ^ 0,bind([[_72397, _72399], [313 ^ [462 ^ []], 462 ^ []]]))).
% 0.39/1.40  ncf('1.1',plain,[-(end_point(313 ^ [462 ^ []], 462 ^ [])), end_point(313 ^ [462 ^ []], 462 ^ []), 313 ^ [462 ^ []] = 313 ^ [462 ^ []], 462 ^ [] = 462 ^ []],extension(100 ^ 1,bind([[_61846, _61848, _61850, _61852], [462 ^ [], 462 ^ [], 313 ^ [462 ^ []], 313 ^ [462 ^ []]]]))).
% 0.39/1.40  ncf('1.1.1',plain,[-(end_point(313 ^ [462 ^ []], 462 ^ [])), open(462 ^ [])],extension(310 ^ 2,bind([[_69132], [462 ^ []]]))).
% 0.39/1.40  ncf('1.1.1.1',plain,[-(open(462 ^ []))],extension(464 ^ 3)).
% 0.39/1.40  ncf('1.1.2',plain,[-(313 ^ [462 ^ []] = 313 ^ [462 ^ []])],extension(2 ^ 2,bind([[_58683], [313 ^ [462 ^ []]]]))).
% 0.39/1.40  ncf('1.1.3',plain,[-(462 ^ [] = 462 ^ [])],extension(2 ^ 2,bind([[_58683], [462 ^ []]]))).
% 0.39/1.40  ncf('1.2',plain,[-(313 ^ [462 ^ []] = 417 ^ [313 ^ [462 ^ []], 462 ^ []]), end_point(313 ^ [462 ^ []], 462 ^ []), end_point(417 ^ [313 ^ [462 ^ []], 462 ^ []], 462 ^ [])],extension(466 ^ 3,bind([[_74387, _74389], [417 ^ [313 ^ [462 ^ []], 462 ^ []], 313 ^ [462 ^ []]]]))).
% 0.39/1.40  ncf('1.2.1',plain,[-(end_point(313 ^ [462 ^ []], 462 ^ []))],lemmata('x')).
% 0.39/1.40  ncf('1.2.2',plain,[-(end_point(417 ^ [313 ^ [462 ^ []], 462 ^ []], 462 ^ []))],extension(419 ^ 4)).
% 0.39/1.40  %-----------------------------------------------------
% 0.39/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------