%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO208+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:13 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO208+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 04:21:19 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(329 ^ _50747) ^ [] : [-(incident_point_and_line(325 ^ [], 326 ^ []))], (331 ^ _50747) ^ [] : [-(incident_point_and_line(325 ^ [], 327 ^ []))], (333 ^ _50747) ^ [] : [-(parallel_lines(326 ^ [], 327 ^ []))], (335 ^ _50747) ^ [] : [equal_lines(326 ^ [], 327 ^ [])], (2 ^ _50747) ^ [_50850] : [distinct_points(_50850, _50850)], (4 ^ _50747) ^ [_50927] : [distinct_lines(_50927, _50927)], (6 ^ _50747) ^ [_51004] : [convergent_lines(_51004, _51004)], (8 ^ _50747) ^ [_51125, _51127, _51129] : [distinct_points(_51129, _51127), -(distinct_points(_51129, _51125)), -(distinct_points(_51127, _51125))], (18 ^ _50747) ^ [_51449, _51451, _51453] : [distinct_lines(_51453, _51451), -(distinct_lines(_51453, _51449)), -(distinct_lines(_51451, _51449))], (28 ^ _50747) ^ [_51773, _51775, _51777] : [convergent_lines(_51777, _51775), -(convergent_lines(_51777, _51773)), -(convergent_lines(_51775, _51773))], (38 ^ _50747) ^ [_52083, _52085] : [distinct_points(_52085, _52083), apart_point_and_line(_52085, line_connecting(_52085, _52083))], (44 ^ _50747) ^ [_52300, _52302] : [distinct_points(_52302, _52300), apart_point_and_line(_52300, line_connecting(_52302, _52300))], (50 ^ _50747) ^ [_52517, _52519] : [convergent_lines(_52519, _52517), apart_point_and_line(intersection_point(_52519, _52517), _52519)], (56 ^ _50747) ^ [_52734, _52736] : [convergent_lines(_52736, _52734), apart_point_and_line(intersection_point(_52736, _52734), _52734)], (62 ^ _50747) ^ [_52979, _52981, _52983, _52985] : [distinct_points(_52985, _52983), distinct_lines(_52981, _52979), -(apart_point_and_line(_52985, _52981)), -(apart_point_and_line(_52985, _52979)), -(apart_point_and_line(_52983, _52981)), -(apart_point_and_line(_52983, _52979))], (84 ^ _50747) ^ [_53608, _53610, _53612] : [apart_point_and_line(_53612, _53610), -(distinct_points(_53612, _53608)), -(apart_point_and_line(_53608, _53610))], (94 ^ _50747) ^ [_53932, _53934, _53936] : [apart_point_and_line(_53936, _53934), -(distinct_lines(_53934, _53932)), -(apart_point_and_line(_53936, _53932))], (104 ^ _50747) ^ [_54236, _54238, _54240] : [convergent_lines(_54240, _54238), -(distinct_lines(_54238, _54236)), -(convergent_lines(_54240, _54236))], (114 ^ _50747) ^ [_54572, _54574] : [distinct_lines(_54574, _54572), -(convergent_lines(_54574, _54572))], (120 ^ _50747) ^ [_54786, _54788] : [convergent_lines(parallel_through_point(_54786, _54788), _54786)], (122 ^ _50747) ^ [_54882, _54884] : [apart_point_and_line(_54884, parallel_through_point(_54882, _54884))], (124 ^ _50747) ^ [_54988, _54990, _54992] : [distinct_lines(_54990, _54988), -(apart_point_and_line(_54992, _54990)), -(apart_point_and_line(_54992, _54988)), -(convergent_lines(_54990, _54988))], (138 ^ _50747) ^ [_55416, _55418] : [-(convergent_lines(_55418, _55416)), -(unorthogonal_lines(_55418, _55416))], (144 ^ _50747) ^ [_55641, _55643, _55645] : [convergent_lines(_55645, _55643), unorthogonal_lines(_55645, _55643), 153 ^ _50747 : [(154 ^ _50747) ^ [] : [-(convergent_lines(_55645, _55641))], (156 ^ _50747) ^ [] : [-(unorthogonal_lines(_55645, _55641))]], 157 ^ _50747 : [(158 ^ _50747) ^ [] : [-(convergent_lines(_55643, _55641))], (160 ^ _50747) ^ [] : [-(unorthogonal_lines(_55643, _55641))]]], (162 ^ _50747) ^ [_56184, _56186] : [unorthogonal_lines(orthogonal_through_point(_56184, _56186), _56184)], (164 ^ _50747) ^ [_56280, _56282] : [apart_point_and_line(_56282, orthogonal_through_point(_56280, _56282))], (166 ^ _50747) ^ [_56400, _56402, _56404, _56406] : [distinct_lines(_56404, _56402), -(apart_point_and_line(_56406, _56404)), -(apart_point_and_line(_56406, _56402)), -(unorthogonal_lines(_56404, _56400)), -(unorthogonal_lines(_56402, _56400))], (184 ^ _50747) ^ [_56944, _56946] : [-(convergent_lines(_56946, _56944)), -(unorthogonal_lines(_56946, _56944))], (208 ^ _50747) ^ [_57738, _57740, _57742] : [convergent_lines(_57740, _57738), -(unorthogonal_lines(_57742, _57740)), -(unorthogonal_lines(_57742, _57738))], (190 ^ _50747) ^ [_57173, _57175, _57177] : [193 ^ _50747 : [(194 ^ _50747) ^ [] : [-(convergent_lines(_57177, _57175))], (196 ^ _50747) ^ [] : [-(unorthogonal_lines(_57177, _57175))]], 197 ^ _50747 : [(198 ^ _50747) ^ [] : [-(convergent_lines(_57177, _57173))], (200 ^ _50747) ^ [] : [-(unorthogonal_lines(_57177, _57173))]], convergent_lines(_57175, _57173), unorthogonal_lines(_57175, _57173)], (218 ^ _50747) ^ [_58078, _58080] : [-(line(line_connecting(_58080, _58078))), point(_58080), point(_58078), distinct_points(_58080, _58078)], (232 ^ _50747) ^ [_58466, _58468] : [-(point(intersection_point(_58468, _58466))), line(_58468), line(_58466), convergent_lines(_58468, _58466)], (246 ^ _50747) ^ [_58854, _58856] : [-(line(parallel_through_point(_58856, _58854))), line(_58856), point(_58854)], (256 ^ _50747) ^ [_59133, _59135] : [-(line(orthogonal_through_point(_59135, _59133))), line(_59135), point(_59133)], (266 ^ _50747) ^ [_59467, _59469] : [equal_points(_59469, _59467), distinct_points(_59469, _59467)], (272 ^ _50747) ^ [_59630, _59632] : [-(distinct_points(_59632, _59630)), -(equal_points(_59632, _59630))], (278 ^ _50747) ^ [_59874, _59876] : [equal_lines(_59876, _59874), distinct_lines(_59876, _59874)], (284 ^ _50747) ^ [_60037, _60039] : [-(distinct_lines(_60039, _60037)), -(equal_lines(_60039, _60037))], (290 ^ _50747) ^ [_60281, _60283] : [parallel_lines(_60283, _60281), convergent_lines(_60283, _60281)], (296 ^ _50747) ^ [_60444, _60446] : [-(convergent_lines(_60446, _60444)), -(parallel_lines(_60446, _60444))], (302 ^ _50747) ^ [_60688, _60690] : [incident_point_and_line(_60690, _60688), apart_point_and_line(_60690, _60688)], (308 ^ _50747) ^ [_60851, _60853] : [-(apart_point_and_line(_60853, _60851)), -(incident_point_and_line(_60853, _60851))], (314 ^ _50747) ^ [_61075, _61077] : [orthogonal_lines(_61077, _61075), unorthogonal_lines(_61077, _61075)], (320 ^ _50747) ^ [_61238, _61240] : [-(unorthogonal_lines(_61240, _61238)), -(orthogonal_lines(_61240, _61238))]], input).
% 0.34/1.37  ncf('1',plain,[convergent_lines(326 ^ [], 327 ^ []), apart_point_and_line(intersection_point(326 ^ [], 327 ^ []), 326 ^ [])],start(50 ^ 0,bind([[_52517, _52519], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.1',plain,[-(convergent_lines(326 ^ [], 327 ^ [])), distinct_lines(326 ^ [], 327 ^ [])],extension(114 ^ 1,bind([[_54572, _54574], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(distinct_lines(326 ^ [], 327 ^ [])), -(equal_lines(326 ^ [], 327 ^ []))],extension(284 ^ 2,bind([[_60037, _60039], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1',plain,[equal_lines(326 ^ [], 327 ^ [])],extension(335 ^ 3)).
% 0.34/1.37  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(326 ^ [], 327 ^ []), 326 ^ [])), distinct_lines(326 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(326 ^ [], 327 ^ []), 327 ^ [])), -(convergent_lines(326 ^ [], 327 ^ []))],extension(124 ^ 1,bind([[_54988, _54990, _54992], [327 ^ [], 326 ^ [], intersection_point(326 ^ [], 327 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1',plain,[-(distinct_lines(326 ^ [], 327 ^ [])), -(equal_lines(326 ^ [], 327 ^ []))],extension(284 ^ 2,bind([[_60037, _60039], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.2.1.1',plain,[equal_lines(326 ^ [], 327 ^ [])],extension(335 ^ 3)).
% 0.34/1.37  ncf('1.2.2',plain,[apart_point_and_line(intersection_point(326 ^ [], 327 ^ []), 327 ^ []), convergent_lines(326 ^ [], 327 ^ [])],extension(56 ^ 2,bind([[_52734, _52736], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.2.2.1',plain,[-(convergent_lines(326 ^ [], 327 ^ []))],lemmata('x')).
% 0.34/1.37  ncf('1.2.3',plain,[convergent_lines(326 ^ [], 327 ^ []), parallel_lines(326 ^ [], 327 ^ [])],extension(290 ^ 2,bind([[_60281, _60283], [327 ^ [], 326 ^ []]]))).
% 0.34/1.37  ncf('1.2.3.1',plain,[-(parallel_lines(326 ^ [], 327 ^ []))],extension(333 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------