%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 0.36s 1.38s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 04:07:36 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.36/1.38  
% 0.36/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  ncf(matrix, plain, [(465 ^ _58876) ^ [] : [-(part_of(462 ^ [], 463 ^ []))], (467 ^ _58876) ^ [] : [-(part_of(463 ^ [], 462 ^ []))], (469 ^ _58876) ^ [] : [462 ^ [] = 463 ^ []], (114 ^ _58876) ^ [_62625, _62627, _62629, _62631] : [-(sum(_62631, _62627) = sum(_62629, _62625)), _62631 = _62629, _62627 = _62625], (2 ^ _58876) ^ [_59020] : [-(_59020 = _59020)], (4 ^ _58876) ^ [_59127, _59129] : [_59129 = _59127, -(_59127 = _59129)], (10 ^ _58876) ^ [_59331, _59333, _59335] : [-(_59335 = _59331), _59335 = _59333, _59333 = _59331], (20 ^ _58876) ^ [_59644, _59646] : [-(open(_59644)), _59646 = _59644, open(_59646)], (30 ^ _58876) ^ [_59967, _59969, _59971, _59973] : [-(inner_point(_59971, _59967)), inner_point(_59973, _59969), _59973 = _59971, _59969 = _59967], (44 ^ _58876) ^ [_60383, _60385] : [-(closed(_60383)), _60385 = _60383, closed(_60385)], (54 ^ _58876) ^ [_60706, _60708, _60710, _60712] : [-(end_point(_60710, _60706)), end_point(_60712, _60708), _60712 = _60710, _60708 = _60706], (68 ^ _58876) ^ [_61178, _61180, _61182, _61184, _61186, _61188] : [-(meet(_61186, _61182, _61178)), meet(_61188, _61184, _61180), _61188 = _61186, _61184 = _61182, _61180 = _61178], (86 ^ _58876) ^ [_61759, _61761, _61763, _61765] : [-(incident_c(_61763, _61759)), incident_c(_61765, _61761), _61765 = _61763, _61761 = _61759], (100 ^ _58876) ^ [_62183, _62185, _62187, _62189] : [-(part_of(_62187, _62183)), part_of(_62189, _62185), _62189 = _62187, _62185 = _62183], (134 ^ _58876) ^ [_63301, _63303] : [136 ^ _58876 : [(137 ^ _58876) ^ [] : [-(incident_c(135 ^ [_63301, _63303], _63301))], (139 ^ _58876) ^ [] : [incident_c(135 ^ [_63301, _63303], _63303)]], -(part_of(_63301, _63303))], (124 ^ _58876) ^ [_62987, _62989] : [part_of(_62987, _62989), 127 ^ _58876 : [(128 ^ _58876) ^ [_63124] : [incident_c(_63124, _62987), -(incident_c(_63124, _62989))]]], (165 ^ _58876) ^ [_64426, _64428, _64430] : [-(_64430 = sum(_64428, _64426)), 169 ^ _58876 : [(170 ^ _58876) ^ [] : [-(incident_c(166 ^ [_64426, _64428, _64430], _64430))], (172 ^ _58876) ^ [] : [incident_c(166 ^ [_64426, _64428, _64430], _64428)], (174 ^ _58876) ^ [] : [incident_c(166 ^ [_64426, _64428, _64430], _64426)]], 175 ^ _58876 : [(182 ^ _58876) ^ [] : [incident_c(166 ^ [_64426, _64428, _64430], _64430)], (176 ^ _58876) ^ [] : [-(incident_c(166 ^ [_64426, _64428, _64430], _64428)), -(incident_c(166 ^ [_64426, _64428, _64430], _64426))]]], (143 ^ _58876) ^ [_63701, _63703, _63705] : [_63705 = sum(_63703, _63701), 146 ^ _58876 : [(157 ^ _58876) ^ [_64161] : [158 ^ _58876 : [(159 ^ _58876) ^ [] : [incident_c(_64161, _63703)], (161 ^ _58876) ^ [] : [incident_c(_64161, _63701)]], -(incident_c(_64161, _63705))], (147 ^ _58876) ^ [_63883] : [incident_c(_63883, _63705), -(incident_c(_63883, _63703)), -(incident_c(_63883, _63701))]]], (214 ^ _58876) ^ [_66034, _66036] : [-(end_point(_66036, _66034)), incident_c(_66036, _66034), 221 ^ _58876 : [(222 ^ _58876) ^ [] : [-(part_of(219 ^ [_66034, _66036], _66034))], (224 ^ _58876) ^ [] : [-(part_of(220 ^ [_66034, _66036], _66034))], (226 ^ _58876) ^ [] : [-(incident_c(_66036, 219 ^ [_66034, _66036]))], (228 ^ _58876) ^ [] : [-(incident_c(_66036, 220 ^ [_66034, _66036]))], (230 ^ _58876) ^ [] : [part_of(219 ^ [_66034, _66036], 220 ^ [_66034, _66036])], (232 ^ _58876) ^ [] : [part_of(220 ^ [_66034, _66036], 219 ^ [_66034, _66036])]]], (186 ^ _58876) ^ [_65206, _65208] : [end_point(_65208, _65206), 189 ^ _58876 : [(190 ^ _58876) ^ [] : [-(incident_c(_65208, _65206))], (192 ^ _58876) ^ [_65458, _65460] : [-(part_of(_65460, _65458)), -(part_of(_65458, _65460)), part_of(_65460, _65206), part_of(_65458, _65206), incident_c(_65208, _65460), incident_c(_65208, _65458)]]], (236 ^ _58876) ^ [_66989, _66991] : [inner_point(_66991, _66989), 239 ^ _58876 : [(240 ^ _58876) ^ [] : [-(incident_c(_66991, _66989))], (242 ^ _58876) ^ [] : [end_point(_66991, _66989)]]], (244 ^ _58876) ^ [_67227, _67229] : [-(inner_point(_67229, _67227)), incident_c(_67229, _67227), -(end_point(_67229, _67227))], (254 ^ _58876) ^ [_67574, _67576, _67578] : [meet(_67578, _67576, _67574), 257 ^ _58876 : [(258 ^ _58876) ^ [] : [-(incident_c(_67578, _67576))], (260 ^ _58876) ^ [] : [-(incident_c(_67578, _67574))], (262 ^ _58876) ^ [_67877] : [269 ^ _58876 : [(270 ^ _58876) ^ [] : [-(end_point(_67877, _67576))], (272 ^ _58876) ^ [] : [-(end_point(_67877, _67574))]], incident_c(_67877, _67576), incident_c(_67877, _67574)]]], (274 ^ _58876) ^ [_68242, _68244, _68246] : [-(meet(_68246, _68244, _68242)), incident_c(_68246, _68244), incident_c(_68246, _68242), 284 ^ _58876 : [(285 ^ _58876) ^ [] : [-(incident_c(283 ^ [_68242, _68244, _68246], _68244))], (287 ^ _58876) ^ [] : [-(incident_c(283 ^ [_68242, _68244, _68246], _68242))], (289 ^ _58876) ^ [] : [end_point(283 ^ [_68242, _68244, _68246], _68244), end_point(283 ^ [_68242, _68244, _68246], _68242)]]], (297 ^ _58876) ^ [_69019] : [closed(_69019), 300 ^ _58876 : [(301 ^ _58876) ^ [_69130] : [end_point(_69130, _69019)]]], (303 ^ _58876) ^ [_69196] : [-(end_point(304 ^ [_69196], _69196)), -(closed(_69196))], (310 ^ _58876) ^ [_69469] : [open(_69469), -(end_point(313 ^ [_69469], _69469))], (317 ^ _58876) ^ [_69674] : [318 ^ _58876 : [(319 ^ _58876) ^ [_69741] : [end_point(_69741, _69674)]], -(open(_69674))], (323 ^ _58876) ^ [_69900, _69902] : [-(open(_69900)), part_of(_69900, _69902), -(_69900 = _69902)], (333 ^ _58876) ^ [_70228, _70230, _70232, _70234] : [part_of(_70232, _70234), part_of(_70230, _70234), part_of(_70228, _70234), 346 ^ _58876 : [(347 ^ _58876) ^ [_70639] : [end_point(_70639, _70232), end_point(_70639, _70230), end_point(_70639, _70228)]], -(part_of(_70230, _70228)), -(part_of(_70228, _70230)), -(part_of(_70232, _70230)), -(part_of(_70230, _70232)), -(part_of(_70232, _70228)), -(part_of(_70228, _70232))], (380 ^ _58876) ^ [_71518] : [-(inner_point(378 ^ [_71518], _71518))], (382 ^ _58876) ^ [_71630, _71632] : [inner_point(_71630, _71632), 387 ^ _58876 : [(388 ^ _58876) ^ [] : [-(meet(_71630, 385 ^ [_71630, _71632], 386 ^ [_71630, _71632]))], (390 ^ _58876) ^ [] : [-(_71632 = sum(385 ^ [_71630, _71632], 386 ^ [_71630, _71632]))]]], (392 ^ _58876) ^ [_72118, _72120, _72122, _72124] : [end_point(_72122, _72124), end_point(_72120, _72124), end_point(_72118, _72124), -(_72122 = _72120), -(_72122 = _72118), -(_72120 = _72118)], (414 ^ _58876) ^ [_72734, _72736] : [end_point(_72734, _72736), 418 ^ _58876 : [(419 ^ _58876) ^ [] : [-(end_point(417 ^ [_72734, _72736], _72736))], (421 ^ _58876) ^ [] : [_72734 = 417 ^ [_72734, _72736]]]], (423 ^ _58876) ^ [_73120, _73122, _73124, _73126] : [434 ^ _58876 : [(435 ^ _58876) ^ [_73466] : [end_point(_73466, _73124), -(meet(_73466, _73124, _73122))]], closed(_73126), meet(_73120, _73124, _73122), _73126 = sum(_73124, _73122)], (441 ^ _58876) ^ [_73709, _73711] : [442 ^ _58876 : [(443 ^ _58876) ^ [_73788] : [meet(_73788, _73711, _73709)]], -(444 ^ [_73709, _73711] = sum(_73711, _73709))], (448 ^ _58876) ^ [_73989, _73991] : [-(_73991 = _73989), 452 ^ _58876 : [(453 ^ _58876) ^ [] : [-(incident_c(449 ^ [_73989, _73991], _73991))], (455 ^ _58876) ^ [] : [incident_c(449 ^ [_73989, _73991], _73989)]], 456 ^ _58876 : [(457 ^ _58876) ^ [] : [-(incident_c(449 ^ [_73989, _73991], _73989))], (459 ^ _58876) ^ [] : [incident_c(449 ^ [_73989, _73991], _73991)]]]], input).
% 0.36/1.38  ncf('1',plain,[462 ^ [] = 463 ^ []],start(469 ^ 0)).
% 0.36/1.38  ncf('1.1',plain,[-(462 ^ [] = 463 ^ []), 453 : -(incident_c(449 ^ [463 ^ [], 462 ^ []], 462 ^ [])), 457 : -(incident_c(449 ^ [463 ^ [], 462 ^ []], 463 ^ []))],extension(448 ^ 1,bind([[_73989, _73991], [463 ^ [], 462 ^ []]]))).
% 0.36/1.38  ncf('1.1.1',plain,[incident_c(449 ^ [463 ^ [], 462 ^ []], 462 ^ []), 128 : -(incident_c(449 ^ [463 ^ [], 462 ^ []], 463 ^ [])), 128 : part_of(462 ^ [], 463 ^ [])],extension(124 ^ 4,bind([[_62987, _62989, _63124], [462 ^ [], 463 ^ [], 449 ^ [463 ^ [], 462 ^ []]]]))).
% 0.36/1.38  ncf('1.1.1.1',plain,[incident_c(449 ^ [463 ^ [], 462 ^ []], 463 ^ [])],extension(455 ^ 7)).
% 0.36/1.38  ncf('1.1.1.2',plain,[-(part_of(462 ^ [], 463 ^ []))],extension(465 ^ 5)).
% 0.36/1.38  ncf('1.1.2',plain,[incident_c(449 ^ [463 ^ [], 462 ^ []], 463 ^ []), 128 : -(incident_c(449 ^ [463 ^ [], 462 ^ []], 462 ^ [])), 128 : part_of(463 ^ [], 462 ^ [])],extension(124 ^ 4,bind([[_62987, _62989, _63124], [463 ^ [], 462 ^ [], 449 ^ [463 ^ [], 462 ^ []]]]))).
% 0.36/1.38  ncf('1.1.2.1',plain,[incident_c(449 ^ [463 ^ [], 462 ^ []], 462 ^ [])],extension(459 ^ 7)).
% 0.36/1.38  ncf('1.1.2.2',plain,[-(part_of(463 ^ [], 462 ^ []))],extension(467 ^ 5)).
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------