%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:11:53 EDT 2023

% Result   : Theorem 17.52s 17.90s
% Output   : Proof 17.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 : Fri May 19 04:14:24 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 17.52/17.90  
% 17.52/17.90  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 17.52/17.90  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.52/17.90  %-----------------------------------------------------
% 17.52/17.90  ncf(matrix, plain, [(466 ^ _61612) ^ [] : [-(part_of(462 ^ [], 463 ^ []))], (468 ^ _61612) ^ [] : [-(part_of(463 ^ [], 464 ^ []))], (470 ^ _61612) ^ [] : [part_of(462 ^ [], 464 ^ [])], (114 ^ _61612) ^ [_65361, _65363, _65365, _65367] : [-(sum(_65367, _65363) = sum(_65365, _65361)), _65367 = _65365, _65363 = _65361], (2 ^ _61612) ^ [_61756] : [-(_61756 = _61756)], (4 ^ _61612) ^ [_61863, _61865] : [_61865 = _61863, -(_61863 = _61865)], (10 ^ _61612) ^ [_62067, _62069, _62071] : [-(_62071 = _62067), _62071 = _62069, _62069 = _62067], (20 ^ _61612) ^ [_62380, _62382] : [-(open(_62380)), _62382 = _62380, open(_62382)], (30 ^ _61612) ^ [_62703, _62705, _62707, _62709] : [-(inner_point(_62707, _62703)), inner_point(_62709, _62705), _62709 = _62707, _62705 = _62703], (44 ^ _61612) ^ [_63119, _63121] : [-(closed(_63119)), _63121 = _63119, closed(_63121)], (54 ^ _61612) ^ [_63442, _63444, _63446, _63448] : [-(end_point(_63446, _63442)), end_point(_63448, _63444), _63448 = _63446, _63444 = _63442], (68 ^ _61612) ^ [_63914, _63916, _63918, _63920, _63922, _63924] : [-(meet(_63922, _63918, _63914)), meet(_63924, _63920, _63916), _63924 = _63922, _63920 = _63918, _63916 = _63914], (86 ^ _61612) ^ [_64495, _64497, _64499, _64501] : [-(incident_c(_64499, _64495)), incident_c(_64501, _64497), _64501 = _64499, _64497 = _64495], (100 ^ _61612) ^ [_64919, _64921, _64923, _64925] : [-(part_of(_64923, _64919)), part_of(_64925, _64921), _64925 = _64923, _64921 = _64919], (134 ^ _61612) ^ [_66037, _66039] : [136 ^ _61612 : [(137 ^ _61612) ^ [] : [-(incident_c(135 ^ [_66037, _66039], _66037))], (139 ^ _61612) ^ [] : [incident_c(135 ^ [_66037, _66039], _66039)]], -(part_of(_66037, _66039))], (124 ^ _61612) ^ [_65723, _65725] : [part_of(_65723, _65725), 127 ^ _61612 : [(128 ^ _61612) ^ [_65860] : [incident_c(_65860, _65723), -(incident_c(_65860, _65725))]]], (165 ^ _61612) ^ [_67162, _67164, _67166] : [-(_67166 = sum(_67164, _67162)), 169 ^ _61612 : [(170 ^ _61612) ^ [] : [-(incident_c(166 ^ [_67162, _67164, _67166], _67166))], (172 ^ _61612) ^ [] : [incident_c(166 ^ [_67162, _67164, _67166], _67164)], (174 ^ _61612) ^ [] : [incident_c(166 ^ [_67162, _67164, _67166], _67162)]], 175 ^ _61612 : [(182 ^ _61612) ^ [] : [incident_c(166 ^ [_67162, _67164, _67166], _67166)], (176 ^ _61612) ^ [] : [-(incident_c(166 ^ [_67162, _67164, _67166], _67164)), -(incident_c(166 ^ [_67162, _67164, _67166], _67162))]]], (143 ^ _61612) ^ [_66437, _66439, _66441] : [_66441 = sum(_66439, _66437), 146 ^ _61612 : [(157 ^ _61612) ^ [_66897] : [158 ^ _61612 : [(159 ^ _61612) ^ [] : [incident_c(_66897, _66439)], (161 ^ _61612) ^ [] : [incident_c(_66897, _66437)]], -(incident_c(_66897, _66441))], (147 ^ _61612) ^ [_66619] : [incident_c(_66619, _66441), -(incident_c(_66619, _66439)), -(incident_c(_66619, _66437))]]], (214 ^ _61612) ^ [_68770, _68772] : [-(end_point(_68772, _68770)), incident_c(_68772, _68770), 221 ^ _61612 : [(222 ^ _61612) ^ [] : [-(part_of(219 ^ [_68770, _68772], _68770))], (224 ^ _61612) ^ [] : [-(part_of(220 ^ [_68770, _68772], _68770))], (226 ^ _61612) ^ [] : [-(incident_c(_68772, 219 ^ [_68770, _68772]))], (228 ^ _61612) ^ [] : [-(incident_c(_68772, 220 ^ [_68770, _68772]))], (230 ^ _61612) ^ [] : [part_of(219 ^ [_68770, _68772], 220 ^ [_68770, _68772])], (232 ^ _61612) ^ [] : [part_of(220 ^ [_68770, _68772], 219 ^ [_68770, _68772])]]], (186 ^ _61612) ^ [_67942, _67944] : [end_point(_67944, _67942), 189 ^ _61612 : [(190 ^ _61612) ^ [] : [-(incident_c(_67944, _67942))], (192 ^ _61612) ^ [_68194, _68196] : [-(part_of(_68196, _68194)), -(part_of(_68194, _68196)), part_of(_68196, _67942), part_of(_68194, _67942), incident_c(_67944, _68196), incident_c(_67944, _68194)]]], (236 ^ _61612) ^ [_69725, _69727] : [inner_point(_69727, _69725), 239 ^ _61612 : [(240 ^ _61612) ^ [] : [-(incident_c(_69727, _69725))], (242 ^ _61612) ^ [] : [end_point(_69727, _69725)]]], (244 ^ _61612) ^ [_69963, _69965] : [-(inner_point(_69965, _69963)), incident_c(_69965, _69963), -(end_point(_69965, _69963))], (254 ^ _61612) ^ [_70310, _70312, _70314] : [meet(_70314, _70312, _70310), 257 ^ _61612 : [(258 ^ _61612) ^ [] : [-(incident_c(_70314, _70312))], (260 ^ _61612) ^ [] : [-(incident_c(_70314, _70310))], (262 ^ _61612) ^ [_70613] : [269 ^ _61612 : [(270 ^ _61612) ^ [] : [-(end_point(_70613, _70312))], (272 ^ _61612) ^ [] : [-(end_point(_70613, _70310))]], incident_c(_70613, _70312), incident_c(_70613, _70310)]]], (274 ^ _61612) ^ [_70978, _70980, _70982] : [-(meet(_70982, _70980, _70978)), incident_c(_70982, _70980), incident_c(_70982, _70978), 284 ^ _61612 : [(285 ^ _61612) ^ [] : [-(incident_c(283 ^ [_70978, _70980, _70982], _70980))], (287 ^ _61612) ^ [] : [-(incident_c(283 ^ [_70978, _70980, _70982], _70978))], (289 ^ _61612) ^ [] : [end_point(283 ^ [_70978, _70980, _70982], _70980), end_point(283 ^ [_70978, _70980, _70982], _70978)]]], (297 ^ _61612) ^ [_71755] : [closed(_71755), 300 ^ _61612 : [(301 ^ _61612) ^ [_71866] : [end_point(_71866, _71755)]]], (303 ^ _61612) ^ [_71932] : [-(end_point(304 ^ [_71932], _71932)), -(closed(_71932))], (310 ^ _61612) ^ [_72205] : [open(_72205), -(end_point(313 ^ [_72205], _72205))], (317 ^ _61612) ^ [_72410] : [318 ^ _61612 : [(319 ^ _61612) ^ [_72477] : [end_point(_72477, _72410)]], -(open(_72410))], (323 ^ _61612) ^ [_72636, _72638] : [-(open(_72636)), part_of(_72636, _72638), -(_72636 = _72638)], (333 ^ _61612) ^ [_72964, _72966, _72968, _72970] : [part_of(_72968, _72970), part_of(_72966, _72970), part_of(_72964, _72970), 346 ^ _61612 : [(347 ^ _61612) ^ [_73375] : [end_point(_73375, _72968), end_point(_73375, _72966), end_point(_73375, _72964)]], -(part_of(_72966, _72964)), -(part_of(_72964, _72966)), -(part_of(_72968, _72966)), -(part_of(_72966, _72968)), -(part_of(_72968, _72964)), -(part_of(_72964, _72968))], (380 ^ _61612) ^ [_74254] : [-(inner_point(378 ^ [_74254], _74254))], (382 ^ _61612) ^ [_74366, _74368] : [inner_point(_74366, _74368), 387 ^ _61612 : [(388 ^ _61612) ^ [] : [-(meet(_74366, 385 ^ [_74366, _74368], 386 ^ [_74366, _74368]))], (390 ^ _61612) ^ [] : [-(_74368 = sum(385 ^ [_74366, _74368], 386 ^ [_74366, _74368]))]]], (392 ^ _61612) ^ [_74854, _74856, _74858, _74860] : [end_point(_74858, _74860), end_point(_74856, _74860), end_point(_74854, _74860), -(_74858 = _74856), -(_74858 = _74854), -(_74856 = _74854)], (414 ^ _61612) ^ [_75470, _75472] : [end_point(_75470, _75472), 418 ^ _61612 : [(419 ^ _61612) ^ [] : [-(end_point(417 ^ [_75470, _75472], _75472))], (421 ^ _61612) ^ [] : [_75470 = 417 ^ [_75470, _75472]]]], (423 ^ _61612) ^ [_75856, _75858, _75860, _75862] : [434 ^ _61612 : [(435 ^ _61612) ^ [_76202] : [end_point(_76202, _75860), -(meet(_76202, _75860, _75858))]], closed(_75862), meet(_75856, _75860, _75858), _75862 = sum(_75860, _75858)], (441 ^ _61612) ^ [_76445, _76447] : [442 ^ _61612 : [(443 ^ _61612) ^ [_76524] : [meet(_76524, _76447, _76445)]], -(444 ^ [_76445, _76447] = sum(_76447, _76445))], (448 ^ _61612) ^ [_76725, _76727] : [-(_76727 = _76725), 452 ^ _61612 : [(453 ^ _61612) ^ [] : [-(incident_c(449 ^ [_76725, _76727], _76727))], (455 ^ _61612) ^ [] : [incident_c(449 ^ [_76725, _76727], _76725)]], 456 ^ _61612 : [(457 ^ _61612) ^ [] : [-(incident_c(449 ^ [_76725, _76727], _76725))], (459 ^ _61612) ^ [] : [incident_c(449 ^ [_76725, _76727], _76727)]]]], input).
% 17.52/17.90  ncf('1',plain,[part_of(462 ^ [], 464 ^ [])],start(470 ^ 0)).
% 17.52/17.90  ncf('1.1',plain,[-(part_of(462 ^ [], 464 ^ [])), 137 : -(incident_c(135 ^ [462 ^ [], 464 ^ []], 462 ^ []))],extension(134 ^ 1,bind([[_66037, _66039], [462 ^ [], 464 ^ []]]))).
% 17.52/17.90  ncf('1.1.1',plain,[incident_c(135 ^ [462 ^ [], 464 ^ []], 462 ^ []), 157 : -(incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ [])), 157 : 464 ^ [] = sum(462 ^ [], 464 ^ [])],extension(143 ^ 4,bind([[_66437, _66439, _66441, _66897], [464 ^ [], 462 ^ [], 464 ^ [], 135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1',plain,[incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ []), -(incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ [])), 135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []], 464 ^ [] = 464 ^ []],extension(86 ^ 7,bind([[_64495, _64497, _64499, _64501], [464 ^ [], 464 ^ [], 135 ^ [462 ^ [], 464 ^ []], 135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.1',plain,[incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ []), -(incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ [])), 135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []], 464 ^ [] = 464 ^ []],extension(86 ^ 8,bind([[_64495, _64497, _64499, _64501], [464 ^ [], 464 ^ [], 135 ^ [462 ^ [], 464 ^ []], 135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.1.1',plain,[incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ []), -(incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ [])), 135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []], 464 ^ [] = 464 ^ []],extension(86 ^ 9,bind([[_64495, _64497, _64499, _64501], [464 ^ [], 464 ^ [], 135 ^ [462 ^ [], 464 ^ []], 135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.1.1.1',plain,[incident_c(135 ^ [462 ^ [], 464 ^ []], 464 ^ [])],extension(139 ^ 10)).
% 17.52/17.90  ncf('1.1.1.1.1.1.2',plain,[-(135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []])],extension(2 ^ 10,bind([[_61756], [135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.1.1.3',plain,[-(464 ^ [] = 464 ^ [])],extension(2 ^ 10,bind([[_61756], [464 ^ []]]))).
% 17.52/17.90  ncf('1.1.1.1.1.2',plain,[-(135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []])],extension(2 ^ 9,bind([[_61756], [135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.1.3',plain,[-(464 ^ [] = 464 ^ [])],extension(2 ^ 9,bind([[_61756], [464 ^ []]]))).
% 17.52/17.90  ncf('1.1.1.1.2',plain,[-(135 ^ [462 ^ [], 464 ^ []] = 135 ^ [462 ^ [], 464 ^ []])],extension(2 ^ 8,bind([[_61756], [135 ^ [462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.1.3',plain,[-(464 ^ [] = 464 ^ [])],extension(2 ^ 8,bind([[_61756], [464 ^ []]]))).
% 17.52/17.90  ncf('1.1.1.2',plain,[-(464 ^ [] = sum(462 ^ [], 464 ^ [])), 170 : -(incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ [])), 176 : -(incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 462 ^ [])), 176 : -(incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ []))],extension(165 ^ 5,bind([[_67162, _67164, _67166], [464 ^ [], 462 ^ [], 464 ^ []]]))).
% 17.52/17.90  ncf('1.1.1.2.1',plain,[incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ [])],extension(174 ^ 8)).
% 17.52/17.90  ncf('1.1.1.2.2',plain,[incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 462 ^ []), 128 : -(incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 463 ^ [])), 128 : part_of(462 ^ [], 463 ^ [])],extension(124 ^ 8,bind([[_65723, _65725, _65860], [462 ^ [], 463 ^ [], 166 ^ [464 ^ [], 462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.2.2.1',plain,[incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 463 ^ []), 128 : -(incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ [])), 128 : part_of(463 ^ [], 464 ^ [])],extension(124 ^ 11,bind([[_65723, _65725, _65860], [463 ^ [], 464 ^ [], 166 ^ [464 ^ [], 462 ^ [], 464 ^ []]]]))).
% 17.52/17.90  ncf('1.1.1.2.2.1.1',plain,[incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ [])],extension(182 ^ 14)).
% 17.52/17.90  ncf('1.1.1.2.2.1.2',plain,[-(part_of(463 ^ [], 464 ^ []))],extension(468 ^ 12)).
% 17.52/17.90  ncf('1.1.1.2.2.2',plain,[-(part_of(462 ^ [], 463 ^ []))],extension(466 ^ 9)).
% 17.52/17.90  ncf('1.1.1.2.3',plain,[incident_c(166 ^ [464 ^ [], 462 ^ [], 464 ^ []], 464 ^ [])],extension(182 ^ 8)).
% 17.52/17.90  %-----------------------------------------------------
% 17.52/17.90  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------