%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:12:04 EDT 2023

% Result   : Theorem 0.33s 1.31s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.09  % Command  : nanocop.sh %s %d
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Fri May 19 04:30:20 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.33/1.31  
% 0.33/1.31  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.31  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.31  %-----------------------------------------------------
% 0.33/1.31  ncf(matrix, plain, [(330 ^ _51275) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _51275) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _51275) ^ [] : [-(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])))], (336 ^ _51275) ^ [] : [apart_point_and_line(325 ^ [], 327 ^ [])], (338 ^ _51275) ^ [] : [apart_point_and_line(325 ^ [], 328 ^ [])], (2 ^ _51275) ^ [_51378] : [distinct_points(_51378, _51378)], (4 ^ _51275) ^ [_51455] : [distinct_lines(_51455, _51455)], (6 ^ _51275) ^ [_51532] : [convergent_lines(_51532, _51532)], (8 ^ _51275) ^ [_51653, _51655, _51657] : [distinct_points(_51657, _51655), -(distinct_points(_51657, _51653)), -(distinct_points(_51655, _51653))], (18 ^ _51275) ^ [_51977, _51979, _51981] : [distinct_lines(_51981, _51979), -(distinct_lines(_51981, _51977)), -(distinct_lines(_51979, _51977))], (28 ^ _51275) ^ [_52301, _52303, _52305] : [convergent_lines(_52305, _52303), -(convergent_lines(_52305, _52301)), -(convergent_lines(_52303, _52301))], (38 ^ _51275) ^ [_52611, _52613] : [distinct_points(_52613, _52611), apart_point_and_line(_52613, line_connecting(_52613, _52611))], (44 ^ _51275) ^ [_52828, _52830] : [distinct_points(_52830, _52828), apart_point_and_line(_52828, line_connecting(_52830, _52828))], (50 ^ _51275) ^ [_53045, _53047] : [convergent_lines(_53047, _53045), apart_point_and_line(intersection_point(_53047, _53045), _53047)], (56 ^ _51275) ^ [_53262, _53264] : [convergent_lines(_53264, _53262), apart_point_and_line(intersection_point(_53264, _53262), _53262)], (62 ^ _51275) ^ [_53507, _53509, _53511, _53513] : [distinct_points(_53513, _53511), distinct_lines(_53509, _53507), -(apart_point_and_line(_53513, _53509)), -(apart_point_and_line(_53513, _53507)), -(apart_point_and_line(_53511, _53509)), -(apart_point_and_line(_53511, _53507))], (84 ^ _51275) ^ [_54136, _54138, _54140] : [apart_point_and_line(_54140, _54138), -(distinct_points(_54140, _54136)), -(apart_point_and_line(_54136, _54138))], (94 ^ _51275) ^ [_54460, _54462, _54464] : [apart_point_and_line(_54464, _54462), -(distinct_lines(_54462, _54460)), -(apart_point_and_line(_54464, _54460))], (104 ^ _51275) ^ [_54764, _54766, _54768] : [convergent_lines(_54768, _54766), -(distinct_lines(_54766, _54764)), -(convergent_lines(_54768, _54764))], (114 ^ _51275) ^ [_55100, _55102] : [distinct_lines(_55102, _55100), -(convergent_lines(_55102, _55100))], (120 ^ _51275) ^ [_55314, _55316] : [convergent_lines(parallel_through_point(_55314, _55316), _55314)], (122 ^ _51275) ^ [_55410, _55412] : [apart_point_and_line(_55412, parallel_through_point(_55410, _55412))], (124 ^ _51275) ^ [_55516, _55518, _55520] : [distinct_lines(_55518, _55516), -(apart_point_and_line(_55520, _55518)), -(apart_point_and_line(_55520, _55516)), -(convergent_lines(_55518, _55516))], (138 ^ _51275) ^ [_55944, _55946] : [-(convergent_lines(_55946, _55944)), -(unorthogonal_lines(_55946, _55944))], (144 ^ _51275) ^ [_56169, _56171, _56173] : [convergent_lines(_56173, _56171), unorthogonal_lines(_56173, _56171), 153 ^ _51275 : [(154 ^ _51275) ^ [] : [-(convergent_lines(_56173, _56169))], (156 ^ _51275) ^ [] : [-(unorthogonal_lines(_56173, _56169))]], 157 ^ _51275 : [(158 ^ _51275) ^ [] : [-(convergent_lines(_56171, _56169))], (160 ^ _51275) ^ [] : [-(unorthogonal_lines(_56171, _56169))]]], (162 ^ _51275) ^ [_56712, _56714] : [unorthogonal_lines(orthogonal_through_point(_56712, _56714), _56712)], (164 ^ _51275) ^ [_56808, _56810] : [apart_point_and_line(_56810, orthogonal_through_point(_56808, _56810))], (166 ^ _51275) ^ [_56928, _56930, _56932, _56934] : [distinct_lines(_56932, _56930), -(apart_point_and_line(_56934, _56932)), -(apart_point_and_line(_56934, _56930)), -(unorthogonal_lines(_56932, _56928)), -(unorthogonal_lines(_56930, _56928))], (184 ^ _51275) ^ [_57472, _57474] : [-(convergent_lines(_57474, _57472)), -(unorthogonal_lines(_57474, _57472))], (208 ^ _51275) ^ [_58266, _58268, _58270] : [convergent_lines(_58268, _58266), -(unorthogonal_lines(_58270, _58268)), -(unorthogonal_lines(_58270, _58266))], (190 ^ _51275) ^ [_57701, _57703, _57705] : [193 ^ _51275 : [(194 ^ _51275) ^ [] : [-(convergent_lines(_57705, _57703))], (196 ^ _51275) ^ [] : [-(unorthogonal_lines(_57705, _57703))]], 197 ^ _51275 : [(198 ^ _51275) ^ [] : [-(convergent_lines(_57705, _57701))], (200 ^ _51275) ^ [] : [-(unorthogonal_lines(_57705, _57701))]], convergent_lines(_57703, _57701), unorthogonal_lines(_57703, _57701)], (218 ^ _51275) ^ [_58606, _58608] : [-(line(line_connecting(_58608, _58606))), point(_58608), point(_58606), distinct_points(_58608, _58606)], (232 ^ _51275) ^ [_58994, _58996] : [-(point(intersection_point(_58996, _58994))), line(_58996), line(_58994), convergent_lines(_58996, _58994)], (246 ^ _51275) ^ [_59382, _59384] : [-(line(parallel_through_point(_59384, _59382))), line(_59384), point(_59382)], (256 ^ _51275) ^ [_59661, _59663] : [-(line(orthogonal_through_point(_59663, _59661))), line(_59663), point(_59661)], (266 ^ _51275) ^ [_59995, _59997] : [equal_points(_59997, _59995), distinct_points(_59997, _59995)], (272 ^ _51275) ^ [_60158, _60160] : [-(distinct_points(_60160, _60158)), -(equal_points(_60160, _60158))], (278 ^ _51275) ^ [_60402, _60404] : [equal_lines(_60404, _60402), distinct_lines(_60404, _60402)], (284 ^ _51275) ^ [_60565, _60567] : [-(distinct_lines(_60567, _60565)), -(equal_lines(_60567, _60565))], (290 ^ _51275) ^ [_60809, _60811] : [parallel_lines(_60811, _60809), convergent_lines(_60811, _60809)], (296 ^ _51275) ^ [_60972, _60974] : [-(convergent_lines(_60974, _60972)), -(parallel_lines(_60974, _60972))], (302 ^ _51275) ^ [_61216, _61218] : [incident_point_and_line(_61218, _61216), apart_point_and_line(_61218, _61216)], (308 ^ _51275) ^ [_61379, _61381] : [-(apart_point_and_line(_61381, _61379)), -(incident_point_and_line(_61381, _61379))], (314 ^ _51275) ^ [_61603, _61605] : [orthogonal_lines(_61605, _61603), unorthogonal_lines(_61605, _61603)], (320 ^ _51275) ^ [_61766, _61768] : [-(unorthogonal_lines(_61768, _61766)), -(orthogonal_lines(_61768, _61766))]], input).
% 0.33/1.31  ncf('1',plain,[convergent_lines(327 ^ [], 328 ^ []), apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ [])],start(50 ^ 0,bind([[_53045, _53047], [328 ^ [], 327 ^ []]]))).
% 0.33/1.31  ncf('1.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 1)).
% 0.33/1.31  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ [])), distinct_points(intersection_point(327 ^ [], 328 ^ []), 325 ^ []), distinct_lines(328 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ [])), -(apart_point_and_line(325 ^ [], 328 ^ [])), -(apart_point_and_line(325 ^ [], 327 ^ []))],extension(62 ^ 1,bind([[_53507, _53509, _53511, _53513], [327 ^ [], 328 ^ [], 325 ^ [], intersection_point(327 ^ [], 328 ^ [])]]))).
% 0.33/1.31  ncf('1.2.1',plain,[-(distinct_points(intersection_point(327 ^ [], 328 ^ []), 325 ^ [])), distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])), -(distinct_points(325 ^ [], 325 ^ []))],extension(8 ^ 2,bind([[_51653, _51655, _51657], [325 ^ [], intersection_point(327 ^ [], 328 ^ []), 325 ^ []]]))).
% 0.33/1.31  ncf('1.2.1.1',plain,[-(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])))],extension(334 ^ 3)).
% 0.33/1.31  ncf('1.2.1.2',plain,[distinct_points(325 ^ [], 325 ^ [])],extension(2 ^ 3,bind([[_51378], [325 ^ []]]))).
% 0.33/1.31  ncf('1.2.2',plain,[-(distinct_lines(328 ^ [], 327 ^ [])), convergent_lines(327 ^ [], 328 ^ []), -(convergent_lines(327 ^ [], 327 ^ []))],extension(104 ^ 2,bind([[_54764, _54766, _54768], [327 ^ [], 328 ^ [], 327 ^ []]]))).
% 0.33/1.31  ncf('1.2.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 3)).
% 0.33/1.31  ncf('1.2.2.2',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 3,bind([[_51532], [327 ^ []]]))).
% 0.33/1.31  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 2,bind([[_53262, _53264], [328 ^ [], 327 ^ []]]))).
% 0.33/1.31  ncf('1.2.3.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],lemmata('x')).
% 0.33/1.31  ncf('1.2.4',plain,[apart_point_and_line(325 ^ [], 328 ^ [])],extension(338 ^ 2)).
% 0.33/1.31  ncf('1.2.5',plain,[apart_point_and_line(325 ^ [], 327 ^ [])],extension(336 ^ 2)).
% 0.33/1.31  %-----------------------------------------------------
% 0.33/1.31  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------