%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:12:16 EDT 2023

% Result   : Theorem 1.25s 2.42s
% Output   : Proof 1.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n010.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 04:16:11 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 1.25/2.42  
% 1.25/2.42  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.25/2.42  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.25/2.42  %-----------------------------------------------------
% 1.25/2.42  ncf(matrix, plain, [(329 ^ _51871) ^ [] : [-(orthogonal_lines(325 ^ [], 326 ^ []))], (331 ^ _51871) ^ [] : [-(parallel_lines(325 ^ [], 327 ^ []))], (333 ^ _51871) ^ [] : [orthogonal_lines(326 ^ [], 327 ^ [])], (2 ^ _51871) ^ [_51974] : [distinct_points(_51974, _51974)], (4 ^ _51871) ^ [_52051] : [distinct_lines(_52051, _52051)], (6 ^ _51871) ^ [_52128] : [convergent_lines(_52128, _52128)], (8 ^ _51871) ^ [_52249, _52251, _52253] : [distinct_points(_52253, _52251), -(distinct_points(_52253, _52249)), -(distinct_points(_52251, _52249))], (18 ^ _51871) ^ [_52573, _52575, _52577] : [distinct_lines(_52577, _52575), -(distinct_lines(_52577, _52573)), -(distinct_lines(_52575, _52573))], (28 ^ _51871) ^ [_52897, _52899, _52901] : [convergent_lines(_52901, _52899), -(convergent_lines(_52901, _52897)), -(convergent_lines(_52899, _52897))], (38 ^ _51871) ^ [_53207, _53209] : [distinct_points(_53209, _53207), apart_point_and_line(_53209, line_connecting(_53209, _53207))], (44 ^ _51871) ^ [_53424, _53426] : [distinct_points(_53426, _53424), apart_point_and_line(_53424, line_connecting(_53426, _53424))], (50 ^ _51871) ^ [_53641, _53643] : [convergent_lines(_53643, _53641), apart_point_and_line(intersection_point(_53643, _53641), _53643)], (56 ^ _51871) ^ [_53858, _53860] : [convergent_lines(_53860, _53858), apart_point_and_line(intersection_point(_53860, _53858), _53858)], (62 ^ _51871) ^ [_54103, _54105, _54107, _54109] : [distinct_points(_54109, _54107), distinct_lines(_54105, _54103), -(apart_point_and_line(_54109, _54105)), -(apart_point_and_line(_54109, _54103)), -(apart_point_and_line(_54107, _54105)), -(apart_point_and_line(_54107, _54103))], (84 ^ _51871) ^ [_54732, _54734, _54736] : [apart_point_and_line(_54736, _54734), -(distinct_points(_54736, _54732)), -(apart_point_and_line(_54732, _54734))], (94 ^ _51871) ^ [_55056, _55058, _55060] : [apart_point_and_line(_55060, _55058), -(distinct_lines(_55058, _55056)), -(apart_point_and_line(_55060, _55056))], (104 ^ _51871) ^ [_55360, _55362, _55364] : [convergent_lines(_55364, _55362), -(distinct_lines(_55362, _55360)), -(convergent_lines(_55364, _55360))], (114 ^ _51871) ^ [_55696, _55698] : [distinct_lines(_55698, _55696), -(convergent_lines(_55698, _55696))], (120 ^ _51871) ^ [_55910, _55912] : [convergent_lines(parallel_through_point(_55910, _55912), _55910)], (122 ^ _51871) ^ [_56006, _56008] : [apart_point_and_line(_56008, parallel_through_point(_56006, _56008))], (124 ^ _51871) ^ [_56112, _56114, _56116] : [distinct_lines(_56114, _56112), -(apart_point_and_line(_56116, _56114)), -(apart_point_and_line(_56116, _56112)), -(convergent_lines(_56114, _56112))], (138 ^ _51871) ^ [_56540, _56542] : [-(convergent_lines(_56542, _56540)), -(unorthogonal_lines(_56542, _56540))], (144 ^ _51871) ^ [_56765, _56767, _56769] : [convergent_lines(_56769, _56767), unorthogonal_lines(_56769, _56767), 153 ^ _51871 : [(154 ^ _51871) ^ [] : [-(convergent_lines(_56769, _56765))], (156 ^ _51871) ^ [] : [-(unorthogonal_lines(_56769, _56765))]], 157 ^ _51871 : [(158 ^ _51871) ^ [] : [-(convergent_lines(_56767, _56765))], (160 ^ _51871) ^ [] : [-(unorthogonal_lines(_56767, _56765))]]], (162 ^ _51871) ^ [_57308, _57310] : [unorthogonal_lines(orthogonal_through_point(_57308, _57310), _57308)], (164 ^ _51871) ^ [_57404, _57406] : [apart_point_and_line(_57406, orthogonal_through_point(_57404, _57406))], (166 ^ _51871) ^ [_57524, _57526, _57528, _57530] : [distinct_lines(_57528, _57526), -(apart_point_and_line(_57530, _57528)), -(apart_point_and_line(_57530, _57526)), -(unorthogonal_lines(_57528, _57524)), -(unorthogonal_lines(_57526, _57524))], (184 ^ _51871) ^ [_58068, _58070] : [-(convergent_lines(_58070, _58068)), -(unorthogonal_lines(_58070, _58068))], (208 ^ _51871) ^ [_58862, _58864, _58866] : [convergent_lines(_58864, _58862), -(unorthogonal_lines(_58866, _58864)), -(unorthogonal_lines(_58866, _58862))], (190 ^ _51871) ^ [_58297, _58299, _58301] : [193 ^ _51871 : [(194 ^ _51871) ^ [] : [-(convergent_lines(_58301, _58299))], (196 ^ _51871) ^ [] : [-(unorthogonal_lines(_58301, _58299))]], 197 ^ _51871 : [(198 ^ _51871) ^ [] : [-(convergent_lines(_58301, _58297))], (200 ^ _51871) ^ [] : [-(unorthogonal_lines(_58301, _58297))]], convergent_lines(_58299, _58297), unorthogonal_lines(_58299, _58297)], (218 ^ _51871) ^ [_59202, _59204] : [-(line(line_connecting(_59204, _59202))), point(_59204), point(_59202), distinct_points(_59204, _59202)], (232 ^ _51871) ^ [_59590, _59592] : [-(point(intersection_point(_59592, _59590))), line(_59592), line(_59590), convergent_lines(_59592, _59590)], (246 ^ _51871) ^ [_59978, _59980] : [-(line(parallel_through_point(_59980, _59978))), line(_59980), point(_59978)], (256 ^ _51871) ^ [_60257, _60259] : [-(line(orthogonal_through_point(_60259, _60257))), line(_60259), point(_60257)], (266 ^ _51871) ^ [_60591, _60593] : [equal_points(_60593, _60591), distinct_points(_60593, _60591)], (272 ^ _51871) ^ [_60754, _60756] : [-(distinct_points(_60756, _60754)), -(equal_points(_60756, _60754))], (278 ^ _51871) ^ [_60998, _61000] : [equal_lines(_61000, _60998), distinct_lines(_61000, _60998)], (284 ^ _51871) ^ [_61161, _61163] : [-(distinct_lines(_61163, _61161)), -(equal_lines(_61163, _61161))], (290 ^ _51871) ^ [_61405, _61407] : [parallel_lines(_61407, _61405), convergent_lines(_61407, _61405)], (296 ^ _51871) ^ [_61568, _61570] : [-(convergent_lines(_61570, _61568)), -(parallel_lines(_61570, _61568))], (302 ^ _51871) ^ [_61812, _61814] : [incident_point_and_line(_61814, _61812), apart_point_and_line(_61814, _61812)], (308 ^ _51871) ^ [_61975, _61977] : [-(apart_point_and_line(_61977, _61975)), -(incident_point_and_line(_61977, _61975))], (314 ^ _51871) ^ [_62199, _62201] : [orthogonal_lines(_62201, _62199), unorthogonal_lines(_62201, _62199)], (320 ^ _51871) ^ [_62362, _62364] : [-(unorthogonal_lines(_62364, _62362)), -(orthogonal_lines(_62364, _62362))]], input).
% 1.25/2.42  ncf('1',plain,[parallel_lines(325 ^ [], 327 ^ []), convergent_lines(325 ^ [], 327 ^ [])],start(290 ^ 0,bind([[_61405, _61407], [327 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.1',plain,[-(parallel_lines(325 ^ [], 327 ^ []))],extension(331 ^ 1)).
% 1.25/2.42  ncf('1.2',plain,[-(convergent_lines(325 ^ [], 327 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(326 ^ [], 327 ^ []))],extension(28 ^ 1,bind([[_52897, _52899, _52901], [327 ^ [], 326 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(326 ^ [], 326 ^ []))],extension(28 ^ 2,bind([[_52897, _52899, _52901], [326 ^ [], 326 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ [])), -(unorthogonal_lines(325 ^ [], 326 ^ []))],extension(138 ^ 3,bind([[_56540, _56542], [326 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.1.1.1',plain,[unorthogonal_lines(325 ^ [], 326 ^ []), orthogonal_lines(325 ^ [], 326 ^ [])],extension(314 ^ 4,bind([[_62199, _62201], [326 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.1.1.1.1',plain,[-(orthogonal_lines(325 ^ [], 326 ^ []))],extension(329 ^ 5)).
% 1.25/2.42  ncf('1.2.1.2',plain,[convergent_lines(326 ^ [], 326 ^ [])],extension(6 ^ 3,bind([[_52128], [326 ^ []]]))).
% 1.25/2.42  ncf('1.2.2',plain,[convergent_lines(326 ^ [], 327 ^ []), unorthogonal_lines(326 ^ [], 327 ^ []), 154 : -(convergent_lines(326 ^ [], 326 ^ [])), 158 : -(convergent_lines(327 ^ [], 326 ^ []))],extension(144 ^ 2,bind([[_56765, _56767, _56769], [326 ^ [], 327 ^ [], 326 ^ []]]))).
% 1.25/2.42  ncf('1.2.2.1',plain,[-(unorthogonal_lines(326 ^ [], 327 ^ [])), -(orthogonal_lines(326 ^ [], 327 ^ []))],extension(320 ^ 3,bind([[_62362, _62364], [327 ^ [], 326 ^ []]]))).
% 1.25/2.42  ncf('1.2.2.1.1',plain,[orthogonal_lines(326 ^ [], 327 ^ [])],extension(333 ^ 4)).
% 1.25/2.42  ncf('1.2.2.2',plain,[convergent_lines(326 ^ [], 326 ^ [])],extension(6 ^ 5,bind([[_52128], [326 ^ []]]))).
% 1.25/2.42  ncf('1.2.2.3',plain,[convergent_lines(327 ^ [], 326 ^ []), 194 : -(convergent_lines(325 ^ [], 327 ^ [])), 200 : -(unorthogonal_lines(325 ^ [], 326 ^ [])), 200 : unorthogonal_lines(327 ^ [], 326 ^ [])],extension(190 ^ 5,bind([[_58297, _58299, _58301], [326 ^ [], 327 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.2.3.1',plain,[convergent_lines(325 ^ [], 327 ^ [])],reduction('1')).
% 1.25/2.42  ncf('1.2.2.3.2',plain,[unorthogonal_lines(325 ^ [], 326 ^ []), orthogonal_lines(325 ^ [], 326 ^ [])],extension(314 ^ 8,bind([[_62199, _62201], [326 ^ [], 325 ^ []]]))).
% 1.25/2.42  ncf('1.2.2.3.2.1',plain,[-(orthogonal_lines(325 ^ [], 326 ^ []))],extension(329 ^ 9)).
% 1.25/2.42  ncf('1.2.2.3.3',plain,[-(unorthogonal_lines(327 ^ [], 326 ^ []))],extension(160 ^ 6)).
% 1.25/2.42  %-----------------------------------------------------
% 1.25/2.42  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------