%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:48:05 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(465 ^ _57319) ^ [] : [-(open(462 ^ []))], (467 ^ _57319) ^ [] : [-(part_of(463 ^ [], 462 ^ []))], (469 ^ _57319) ^ [] : [open(463 ^ [])], (114 ^ _57319) ^ [_61068, _61070, _61072, _61074] : [-(sum(_61074, _61070) = sum(_61072, _61068)), _61074 = _61072, _61070 = _61068], (2 ^ _57319) ^ [_57463] : [-(_57463 = _57463)], (4 ^ _57319) ^ [_57570, _57572] : [_57572 = _57570, -(_57570 = _57572)], (10 ^ _57319) ^ [_57774, _57776, _57778] : [-(_57778 = _57774), _57778 = _57776, _57776 = _57774], (20 ^ _57319) ^ [_58115, _58117, _58119, _58121] : [-(inner_point(_58119, _58115)), inner_point(_58121, _58117), _58121 = _58119, _58117 = _58115], (34 ^ _57319) ^ [_58531, _58533] : [-(closed(_58531)), _58533 = _58531, closed(_58533)], (44 ^ _57319) ^ [_58854, _58856, _58858, _58860] : [-(end_point(_58858, _58854)), end_point(_58860, _58856), _58860 = _58858, _58856 = _58854], (58 ^ _57319) ^ [_59326, _59328, _59330, _59332, _59334, _59336] : [-(meet(_59334, _59330, _59326)), meet(_59336, _59332, _59328), _59336 = _59334, _59332 = _59330, _59328 = _59326], (76 ^ _57319) ^ [_59907, _59909, _59911, _59913] : [-(incident_c(_59911, _59907)), incident_c(_59913, _59909), _59913 = _59911, _59909 = _59907], (104 ^ _57319) ^ [_60747, _60749] : [-(open(_60747)), _60749 = _60747, open(_60749)], (90 ^ _57319) ^ [_60351, _60353, _60355, _60357] : [-(part_of(_60355, _60351)), part_of(_60357, _60353), _60357 = _60355, _60353 = _60351], (134 ^ _57319) ^ [_61744, _61746] : [136 ^ _57319 : [(137 ^ _57319) ^ [] : [-(incident_c(135 ^ [_61744, _61746], _61744))], (139 ^ _57319) ^ [] : [incident_c(135 ^ [_61744, _61746], _61746)]], -(part_of(_61744, _61746))], (124 ^ _57319) ^ [_61430, _61432] : [part_of(_61430, _61432), 127 ^ _57319 : [(128 ^ _57319) ^ [_61567] : [incident_c(_61567, _61430), -(incident_c(_61567, _61432))]]], (165 ^ _57319) ^ [_62869, _62871, _62873] : [-(_62873 = sum(_62871, _62869)), 169 ^ _57319 : [(170 ^ _57319) ^ [] : [-(incident_c(166 ^ [_62869, _62871, _62873], _62873))], (172 ^ _57319) ^ [] : [incident_c(166 ^ [_62869, _62871, _62873], _62871)], (174 ^ _57319) ^ [] : [incident_c(166 ^ [_62869, _62871, _62873], _62869)]], 175 ^ _57319 : [(182 ^ _57319) ^ [] : [incident_c(166 ^ [_62869, _62871, _62873], _62873)], (176 ^ _57319) ^ [] : [-(incident_c(166 ^ [_62869, _62871, _62873], _62871)), -(incident_c(166 ^ [_62869, _62871, _62873], _62869))]]], (143 ^ _57319) ^ [_62144, _62146, _62148] : [_62148 = sum(_62146, _62144), 146 ^ _57319 : [(157 ^ _57319) ^ [_62604] : [158 ^ _57319 : [(159 ^ _57319) ^ [] : [incident_c(_62604, _62146)], (161 ^ _57319) ^ [] : [incident_c(_62604, _62144)]], -(incident_c(_62604, _62148))], (147 ^ _57319) ^ [_62326] : [incident_c(_62326, _62148), -(incident_c(_62326, _62146)), -(incident_c(_62326, _62144))]]], (214 ^ _57319) ^ [_64477, _64479] : [-(end_point(_64479, _64477)), incident_c(_64479, _64477), 221 ^ _57319 : [(222 ^ _57319) ^ [] : [-(part_of(219 ^ [_64477, _64479], _64477))], (224 ^ _57319) ^ [] : [-(part_of(220 ^ [_64477, _64479], _64477))], (226 ^ _57319) ^ [] : [-(incident_c(_64479, 219 ^ [_64477, _64479]))], (228 ^ _57319) ^ [] : [-(incident_c(_64479, 220 ^ [_64477, _64479]))], (230 ^ _57319) ^ [] : [part_of(219 ^ [_64477, _64479], 220 ^ [_64477, _64479])], (232 ^ _57319) ^ [] : [part_of(220 ^ [_64477, _64479], 219 ^ [_64477, _64479])]]], (186 ^ _57319) ^ [_63649, _63651] : [end_point(_63651, _63649), 189 ^ _57319 : [(190 ^ _57319) ^ [] : [-(incident_c(_63651, _63649))], (192 ^ _57319) ^ [_63901, _63903] : [-(part_of(_63903, _63901)), -(part_of(_63901, _63903)), part_of(_63903, _63649), part_of(_63901, _63649), incident_c(_63651, _63903), incident_c(_63651, _63901)]]], (236 ^ _57319) ^ [_65432, _65434] : [inner_point(_65434, _65432), 239 ^ _57319 : [(240 ^ _57319) ^ [] : [-(incident_c(_65434, _65432))], (242 ^ _57319) ^ [] : [end_point(_65434, _65432)]]], (244 ^ _57319) ^ [_65670, _65672] : [-(inner_point(_65672, _65670)), incident_c(_65672, _65670), -(end_point(_65672, _65670))], (254 ^ _57319) ^ [_66017, _66019, _66021] : [meet(_66021, _66019, _66017), 257 ^ _57319 : [(258 ^ _57319) ^ [] : [-(incident_c(_66021, _66019))], (260 ^ _57319) ^ [] : [-(incident_c(_66021, _66017))], (262 ^ _57319) ^ [_66320] : [269 ^ _57319 : [(270 ^ _57319) ^ [] : [-(end_point(_66320, _66019))], (272 ^ _57319) ^ [] : [-(end_point(_66320, _66017))]], incident_c(_66320, _66019), incident_c(_66320, _66017)]]], (274 ^ _57319) ^ [_66685, _66687, _66689] : [-(meet(_66689, _66687, _66685)), incident_c(_66689, _66687), incident_c(_66689, _66685), 284 ^ _57319 : [(285 ^ _57319) ^ [] : [-(incident_c(283 ^ [_66685, _66687, _66689], _66687))], (287 ^ _57319) ^ [] : [-(incident_c(283 ^ [_66685, _66687, _66689], _66685))], (289 ^ _57319) ^ [] : [end_point(283 ^ [_66685, _66687, _66689], _66687), end_point(283 ^ [_66685, _66687, _66689], _66685)]]], (297 ^ _57319) ^ [_67462] : [closed(_67462), 300 ^ _57319 : [(301 ^ _57319) ^ [_67573] : [end_point(_67573, _67462)]]], (303 ^ _57319) ^ [_67639] : [-(end_point(304 ^ [_67639], _67639)), -(closed(_67639))], (310 ^ _57319) ^ [_67912] : [open(_67912), -(end_point(313 ^ [_67912], _67912))], (317 ^ _57319) ^ [_68117] : [318 ^ _57319 : [(319 ^ _57319) ^ [_68184] : [end_point(_68184, _68117)]], -(open(_68117))], (323 ^ _57319) ^ [_68343, _68345] : [-(open(_68343)), part_of(_68343, _68345), -(_68343 = _68345)], (333 ^ _57319) ^ [_68671, _68673, _68675, _68677] : [part_of(_68675, _68677), part_of(_68673, _68677), part_of(_68671, _68677), 346 ^ _57319 : [(347 ^ _57319) ^ [_69082] : [end_point(_69082, _68675), end_point(_69082, _68673), end_point(_69082, _68671)]], -(part_of(_68673, _68671)), -(part_of(_68671, _68673)), -(part_of(_68675, _68673)), -(part_of(_68673, _68675)), -(part_of(_68675, _68671)), -(part_of(_68671, _68675))], (380 ^ _57319) ^ [_69961] : [-(inner_point(378 ^ [_69961], _69961))], (382 ^ _57319) ^ [_70073, _70075] : [inner_point(_70073, _70075), 387 ^ _57319 : [(388 ^ _57319) ^ [] : [-(meet(_70073, 385 ^ [_70073, _70075], 386 ^ [_70073, _70075]))], (390 ^ _57319) ^ [] : [-(_70075 = sum(385 ^ [_70073, _70075], 386 ^ [_70073, _70075]))]]], (392 ^ _57319) ^ [_70561, _70563, _70565, _70567] : [end_point(_70565, _70567), end_point(_70563, _70567), end_point(_70561, _70567), -(_70565 = _70563), -(_70565 = _70561), -(_70563 = _70561)], (414 ^ _57319) ^ [_71177, _71179] : [end_point(_71177, _71179), 418 ^ _57319 : [(419 ^ _57319) ^ [] : [-(end_point(417 ^ [_71177, _71179], _71179))], (421 ^ _57319) ^ [] : [_71177 = 417 ^ [_71177, _71179]]]], (423 ^ _57319) ^ [_71563, _71565, _71567, _71569] : [434 ^ _57319 : [(435 ^ _57319) ^ [_71909] : [end_point(_71909, _71567), -(meet(_71909, _71567, _71565))]], closed(_71569), meet(_71563, _71567, _71565), _71569 = sum(_71567, _71565)], (441 ^ _57319) ^ [_72152, _72154] : [442 ^ _57319 : [(443 ^ _57319) ^ [_72231] : [meet(_72231, _72154, _72152)]], -(444 ^ [_72152, _72154] = sum(_72154, _72152))], (448 ^ _57319) ^ [_72432, _72434] : [-(_72434 = _72432), 452 ^ _57319 : [(453 ^ _57319) ^ [] : [-(incident_c(449 ^ [_72432, _72434], _72434))], (455 ^ _57319) ^ [] : [incident_c(449 ^ [_72432, _72434], _72432)]], 456 ^ _57319 : [(457 ^ _57319) ^ [] : [-(incident_c(449 ^ [_72432, _72434], _72432))], (459 ^ _57319) ^ [] : [incident_c(449 ^ [_72432, _72434], _72434)]]]], input).
% 0.35/1.38  ncf('1',plain,[open(463 ^ [])],start(469 ^ 0)).
% 0.35/1.38  ncf('1.1',plain,[-(open(463 ^ [])), part_of(463 ^ [], 462 ^ []), -(463 ^ [] = 462 ^ [])],extension(323 ^ 1,bind([[_68343, _68345], [463 ^ [], 462 ^ []]]))).
% 0.35/1.38  ncf('1.1.1',plain,[-(part_of(463 ^ [], 462 ^ []))],extension(467 ^ 2)).
% 0.35/1.38  ncf('1.1.2',plain,[463 ^ [] = 462 ^ [], -(462 ^ [] = 463 ^ [])],extension(4 ^ 2,bind([[_57570, _57572], [462 ^ [], 463 ^ []]]))).
% 0.35/1.38  ncf('1.1.2.1',plain,[462 ^ [] = 463 ^ [], -(open(463 ^ [])), open(462 ^ [])],extension(104 ^ 3,bind([[_60747, _60749], [463 ^ [], 462 ^ []]]))).
% 0.35/1.38  ncf('1.1.2.1.1',plain,[open(463 ^ [])],reduction('1')).
% 0.35/1.38  ncf('1.1.2.1.2',plain,[-(open(462 ^ []))],extension(465 ^ 4)).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------