%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO221+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 0.31s 1.36s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO221+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.31  % Computer : n014.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May 19 04:35:57 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.31/1.36  
% 0.31/1.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.36  %-----------------------------------------------------
% 0.31/1.36  ncf(matrix, plain, [(329 ^ _50535) ^ [] : [-(incident_point_and_line(326 ^ [], orthogonal_through_point(327 ^ [], 325 ^ [])))], (331 ^ _50535) ^ [] : [equal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))], (2 ^ _50535) ^ [_50638] : [distinct_points(_50638, _50638)], (4 ^ _50535) ^ [_50715] : [distinct_lines(_50715, _50715)], (6 ^ _50535) ^ [_50792] : [convergent_lines(_50792, _50792)], (8 ^ _50535) ^ [_50913, _50915, _50917] : [distinct_points(_50917, _50915), -(distinct_points(_50917, _50913)), -(distinct_points(_50915, _50913))], (18 ^ _50535) ^ [_51237, _51239, _51241] : [distinct_lines(_51241, _51239), -(distinct_lines(_51241, _51237)), -(distinct_lines(_51239, _51237))], (28 ^ _50535) ^ [_51561, _51563, _51565] : [convergent_lines(_51565, _51563), -(convergent_lines(_51565, _51561)), -(convergent_lines(_51563, _51561))], (38 ^ _50535) ^ [_51871, _51873] : [distinct_points(_51873, _51871), apart_point_and_line(_51873, line_connecting(_51873, _51871))], (44 ^ _50535) ^ [_52088, _52090] : [distinct_points(_52090, _52088), apart_point_and_line(_52088, line_connecting(_52090, _52088))], (50 ^ _50535) ^ [_52305, _52307] : [convergent_lines(_52307, _52305), apart_point_and_line(intersection_point(_52307, _52305), _52307)], (56 ^ _50535) ^ [_52522, _52524] : [convergent_lines(_52524, _52522), apart_point_and_line(intersection_point(_52524, _52522), _52522)], (62 ^ _50535) ^ [_52767, _52769, _52771, _52773] : [distinct_points(_52773, _52771), distinct_lines(_52769, _52767), -(apart_point_and_line(_52773, _52769)), -(apart_point_and_line(_52773, _52767)), -(apart_point_and_line(_52771, _52769)), -(apart_point_and_line(_52771, _52767))], (84 ^ _50535) ^ [_53396, _53398, _53400] : [apart_point_and_line(_53400, _53398), -(distinct_points(_53400, _53396)), -(apart_point_and_line(_53396, _53398))], (94 ^ _50535) ^ [_53720, _53722, _53724] : [apart_point_and_line(_53724, _53722), -(distinct_lines(_53722, _53720)), -(apart_point_and_line(_53724, _53720))], (104 ^ _50535) ^ [_54024, _54026, _54028] : [convergent_lines(_54028, _54026), -(distinct_lines(_54026, _54024)), -(convergent_lines(_54028, _54024))], (114 ^ _50535) ^ [_54360, _54362] : [distinct_lines(_54362, _54360), -(convergent_lines(_54362, _54360))], (120 ^ _50535) ^ [_54574, _54576] : [convergent_lines(parallel_through_point(_54574, _54576), _54574)], (122 ^ _50535) ^ [_54670, _54672] : [apart_point_and_line(_54672, parallel_through_point(_54670, _54672))], (124 ^ _50535) ^ [_54776, _54778, _54780] : [distinct_lines(_54778, _54776), -(apart_point_and_line(_54780, _54778)), -(apart_point_and_line(_54780, _54776)), -(convergent_lines(_54778, _54776))], (138 ^ _50535) ^ [_55204, _55206] : [-(convergent_lines(_55206, _55204)), -(unorthogonal_lines(_55206, _55204))], (144 ^ _50535) ^ [_55429, _55431, _55433] : [convergent_lines(_55433, _55431), unorthogonal_lines(_55433, _55431), 153 ^ _50535 : [(154 ^ _50535) ^ [] : [-(convergent_lines(_55433, _55429))], (156 ^ _50535) ^ [] : [-(unorthogonal_lines(_55433, _55429))]], 157 ^ _50535 : [(158 ^ _50535) ^ [] : [-(convergent_lines(_55431, _55429))], (160 ^ _50535) ^ [] : [-(unorthogonal_lines(_55431, _55429))]]], (162 ^ _50535) ^ [_55972, _55974] : [unorthogonal_lines(orthogonal_through_point(_55972, _55974), _55972)], (164 ^ _50535) ^ [_56068, _56070] : [apart_point_and_line(_56070, orthogonal_through_point(_56068, _56070))], (166 ^ _50535) ^ [_56188, _56190, _56192, _56194] : [distinct_lines(_56192, _56190), -(apart_point_and_line(_56194, _56192)), -(apart_point_and_line(_56194, _56190)), -(unorthogonal_lines(_56192, _56188)), -(unorthogonal_lines(_56190, _56188))], (184 ^ _50535) ^ [_56732, _56734] : [-(convergent_lines(_56734, _56732)), -(unorthogonal_lines(_56734, _56732))], (208 ^ _50535) ^ [_57526, _57528, _57530] : [convergent_lines(_57528, _57526), -(unorthogonal_lines(_57530, _57528)), -(unorthogonal_lines(_57530, _57526))], (190 ^ _50535) ^ [_56961, _56963, _56965] : [193 ^ _50535 : [(194 ^ _50535) ^ [] : [-(convergent_lines(_56965, _56963))], (196 ^ _50535) ^ [] : [-(unorthogonal_lines(_56965, _56963))]], 197 ^ _50535 : [(198 ^ _50535) ^ [] : [-(convergent_lines(_56965, _56961))], (200 ^ _50535) ^ [] : [-(unorthogonal_lines(_56965, _56961))]], convergent_lines(_56963, _56961), unorthogonal_lines(_56963, _56961)], (218 ^ _50535) ^ [_57866, _57868] : [-(line(line_connecting(_57868, _57866))), point(_57868), point(_57866), distinct_points(_57868, _57866)], (232 ^ _50535) ^ [_58254, _58256] : [-(point(intersection_point(_58256, _58254))), line(_58256), line(_58254), convergent_lines(_58256, _58254)], (246 ^ _50535) ^ [_58642, _58644] : [-(line(parallel_through_point(_58644, _58642))), line(_58644), point(_58642)], (256 ^ _50535) ^ [_58921, _58923] : [-(line(orthogonal_through_point(_58923, _58921))), line(_58923), point(_58921)], (266 ^ _50535) ^ [_59255, _59257] : [equal_points(_59257, _59255), distinct_points(_59257, _59255)], (272 ^ _50535) ^ [_59418, _59420] : [-(distinct_points(_59420, _59418)), -(equal_points(_59420, _59418))], (278 ^ _50535) ^ [_59662, _59664] : [equal_lines(_59664, _59662), distinct_lines(_59664, _59662)], (284 ^ _50535) ^ [_59825, _59827] : [-(distinct_lines(_59827, _59825)), -(equal_lines(_59827, _59825))], (290 ^ _50535) ^ [_60069, _60071] : [parallel_lines(_60071, _60069), convergent_lines(_60071, _60069)], (296 ^ _50535) ^ [_60232, _60234] : [-(convergent_lines(_60234, _60232)), -(parallel_lines(_60234, _60232))], (302 ^ _50535) ^ [_60476, _60478] : [incident_point_and_line(_60478, _60476), apart_point_and_line(_60478, _60476)], (308 ^ _50535) ^ [_60639, _60641] : [-(apart_point_and_line(_60641, _60639)), -(incident_point_and_line(_60641, _60639))], (314 ^ _50535) ^ [_60863, _60865] : [orthogonal_lines(_60865, _60863), unorthogonal_lines(_60865, _60863)], (320 ^ _50535) ^ [_61026, _61028] : [-(unorthogonal_lines(_61028, _61026)), -(orthogonal_lines(_61028, _61026))]], input).
% 0.31/1.36  ncf('1',plain,[convergent_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), apart_point_and_line(intersection_point(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), orthogonal_through_point(327 ^ [], 325 ^ []))],start(50 ^ 0,bind([[_52305, _52307], [orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ [])]]))).
% 0.31/1.36  ncf('1.1',plain,[-(convergent_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))), distinct_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))],extension(114 ^ 1,bind([[_54360, _54362], [orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ [])]]))).
% 0.31/1.36  ncf('1.1.1',plain,[-(distinct_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))), -(equal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])))],extension(284 ^ 2,bind([[_59825, _59827], [orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ [])]]))).
% 0.31/1.36  ncf('1.1.1.1',plain,[equal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))],extension(331 ^ 3)).
% 0.31/1.36  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), orthogonal_through_point(327 ^ [], 325 ^ []))), distinct_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), -(apart_point_and_line(intersection_point(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), orthogonal_through_point(327 ^ [], 326 ^ []))), -(unorthogonal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), 327 ^ [])), -(unorthogonal_lines(orthogonal_through_point(327 ^ [], 326 ^ []), 327 ^ []))],extension(166 ^ 1,bind([[_56188, _56190, _56192, _56194], [327 ^ [], orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ []), intersection_point(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))]]))).
% 0.31/1.36  ncf('1.2.1',plain,[-(distinct_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))), -(equal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])))],extension(284 ^ 2,bind([[_59825, _59827], [orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ [])]]))).
% 0.31/1.36  ncf('1.2.1.1',plain,[equal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))],extension(331 ^ 3)).
% 0.31/1.36  ncf('1.2.2',plain,[apart_point_and_line(intersection_point(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])), orthogonal_through_point(327 ^ [], 326 ^ [])), convergent_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ []))],extension(56 ^ 2,bind([[_52522, _52524], [orthogonal_through_point(327 ^ [], 326 ^ []), orthogonal_through_point(327 ^ [], 325 ^ [])]]))).
% 0.31/1.36  ncf('1.2.2.1',plain,[-(convergent_lines(orthogonal_through_point(327 ^ [], 325 ^ []), orthogonal_through_point(327 ^ [], 326 ^ [])))],lemmata('x')).
% 0.31/1.36  ncf('1.2.3',plain,[unorthogonal_lines(orthogonal_through_point(327 ^ [], 325 ^ []), 327 ^ [])],extension(162 ^ 2,bind([[_55972, _55974], [327 ^ [], 325 ^ []]]))).
% 0.31/1.36  ncf('1.2.4',plain,[unorthogonal_lines(orthogonal_through_point(327 ^ [], 326 ^ []), 327 ^ [])],extension(162 ^ 2,bind([[_55972, _55974], [327 ^ [], 326 ^ []]]))).
% 0.31/1.36  %-----------------------------------------------------
% 0.31/1.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------