%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 0.56s 1.38s
% Output   : Proof 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n005.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 04:06:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.56/1.38  
% 0.56/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.56/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/1.38  %-----------------------------------------------------
% 0.56/1.38  ncf(matrix, plain, [(340 ^ _50796) ^ [] : [distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))], (330 ^ _50796) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _50796) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _50796) ^ [] : [-(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(325 ^ [], 328 ^ []))], (2 ^ _50796) ^ [_50899] : [distinct_points(_50899, _50899)], (4 ^ _50796) ^ [_50976] : [distinct_lines(_50976, _50976)], (6 ^ _50796) ^ [_51053] : [convergent_lines(_51053, _51053)], (8 ^ _50796) ^ [_51174, _51176, _51178] : [distinct_points(_51178, _51176), -(distinct_points(_51178, _51174)), -(distinct_points(_51176, _51174))], (18 ^ _50796) ^ [_51498, _51500, _51502] : [distinct_lines(_51502, _51500), -(distinct_lines(_51502, _51498)), -(distinct_lines(_51500, _51498))], (28 ^ _50796) ^ [_51822, _51824, _51826] : [convergent_lines(_51826, _51824), -(convergent_lines(_51826, _51822)), -(convergent_lines(_51824, _51822))], (38 ^ _50796) ^ [_52132, _52134] : [distinct_points(_52134, _52132), apart_point_and_line(_52134, line_connecting(_52134, _52132))], (44 ^ _50796) ^ [_52349, _52351] : [distinct_points(_52351, _52349), apart_point_and_line(_52349, line_connecting(_52351, _52349))], (50 ^ _50796) ^ [_52566, _52568] : [convergent_lines(_52568, _52566), apart_point_and_line(intersection_point(_52568, _52566), _52568)], (56 ^ _50796) ^ [_52783, _52785] : [convergent_lines(_52785, _52783), apart_point_and_line(intersection_point(_52785, _52783), _52783)], (62 ^ _50796) ^ [_53028, _53030, _53032, _53034] : [distinct_points(_53034, _53032), distinct_lines(_53030, _53028), -(apart_point_and_line(_53034, _53030)), -(apart_point_and_line(_53034, _53028)), -(apart_point_and_line(_53032, _53030)), -(apart_point_and_line(_53032, _53028))], (84 ^ _50796) ^ [_53657, _53659, _53661] : [apart_point_and_line(_53661, _53659), -(distinct_points(_53661, _53657)), -(apart_point_and_line(_53657, _53659))], (94 ^ _50796) ^ [_53981, _53983, _53985] : [apart_point_and_line(_53985, _53983), -(distinct_lines(_53983, _53981)), -(apart_point_and_line(_53985, _53981))], (104 ^ _50796) ^ [_54285, _54287, _54289] : [convergent_lines(_54289, _54287), -(distinct_lines(_54287, _54285)), -(convergent_lines(_54289, _54285))], (114 ^ _50796) ^ [_54621, _54623] : [distinct_lines(_54623, _54621), -(convergent_lines(_54623, _54621))], (120 ^ _50796) ^ [_54835, _54837] : [convergent_lines(parallel_through_point(_54835, _54837), _54835)], (122 ^ _50796) ^ [_54931, _54933] : [apart_point_and_line(_54933, parallel_through_point(_54931, _54933))], (124 ^ _50796) ^ [_55037, _55039, _55041] : [distinct_lines(_55039, _55037), -(apart_point_and_line(_55041, _55039)), -(apart_point_and_line(_55041, _55037)), -(convergent_lines(_55039, _55037))], (138 ^ _50796) ^ [_55465, _55467] : [-(convergent_lines(_55467, _55465)), -(unorthogonal_lines(_55467, _55465))], (144 ^ _50796) ^ [_55690, _55692, _55694] : [convergent_lines(_55694, _55692), unorthogonal_lines(_55694, _55692), 153 ^ _50796 : [(154 ^ _50796) ^ [] : [-(convergent_lines(_55694, _55690))], (156 ^ _50796) ^ [] : [-(unorthogonal_lines(_55694, _55690))]], 157 ^ _50796 : [(158 ^ _50796) ^ [] : [-(convergent_lines(_55692, _55690))], (160 ^ _50796) ^ [] : [-(unorthogonal_lines(_55692, _55690))]]], (162 ^ _50796) ^ [_56233, _56235] : [unorthogonal_lines(orthogonal_through_point(_56233, _56235), _56233)], (164 ^ _50796) ^ [_56329, _56331] : [apart_point_and_line(_56331, orthogonal_through_point(_56329, _56331))], (166 ^ _50796) ^ [_56449, _56451, _56453, _56455] : [distinct_lines(_56453, _56451), -(apart_point_and_line(_56455, _56453)), -(apart_point_and_line(_56455, _56451)), -(unorthogonal_lines(_56453, _56449)), -(unorthogonal_lines(_56451, _56449))], (184 ^ _50796) ^ [_56993, _56995] : [-(convergent_lines(_56995, _56993)), -(unorthogonal_lines(_56995, _56993))], (208 ^ _50796) ^ [_57787, _57789, _57791] : [convergent_lines(_57789, _57787), -(unorthogonal_lines(_57791, _57789)), -(unorthogonal_lines(_57791, _57787))], (190 ^ _50796) ^ [_57222, _57224, _57226] : [193 ^ _50796 : [(194 ^ _50796) ^ [] : [-(convergent_lines(_57226, _57224))], (196 ^ _50796) ^ [] : [-(unorthogonal_lines(_57226, _57224))]], 197 ^ _50796 : [(198 ^ _50796) ^ [] : [-(convergent_lines(_57226, _57222))], (200 ^ _50796) ^ [] : [-(unorthogonal_lines(_57226, _57222))]], convergent_lines(_57224, _57222), unorthogonal_lines(_57224, _57222)], (218 ^ _50796) ^ [_58127, _58129] : [-(line(line_connecting(_58129, _58127))), point(_58129), point(_58127), distinct_points(_58129, _58127)], (232 ^ _50796) ^ [_58515, _58517] : [-(point(intersection_point(_58517, _58515))), line(_58517), line(_58515), convergent_lines(_58517, _58515)], (246 ^ _50796) ^ [_58903, _58905] : [-(line(parallel_through_point(_58905, _58903))), line(_58905), point(_58903)], (256 ^ _50796) ^ [_59182, _59184] : [-(line(orthogonal_through_point(_59184, _59182))), line(_59184), point(_59182)], (266 ^ _50796) ^ [_59516, _59518] : [equal_points(_59518, _59516), distinct_points(_59518, _59516)], (272 ^ _50796) ^ [_59679, _59681] : [-(distinct_points(_59681, _59679)), -(equal_points(_59681, _59679))], (278 ^ _50796) ^ [_59923, _59925] : [equal_lines(_59925, _59923), distinct_lines(_59925, _59923)], (284 ^ _50796) ^ [_60086, _60088] : [-(distinct_lines(_60088, _60086)), -(equal_lines(_60088, _60086))], (290 ^ _50796) ^ [_60330, _60332] : [parallel_lines(_60332, _60330), convergent_lines(_60332, _60330)], (296 ^ _50796) ^ [_60493, _60495] : [-(convergent_lines(_60495, _60493)), -(parallel_lines(_60495, _60493))], (302 ^ _50796) ^ [_60737, _60739] : [incident_point_and_line(_60739, _60737), apart_point_and_line(_60739, _60737)], (308 ^ _50796) ^ [_60900, _60902] : [-(apart_point_and_line(_60902, _60900)), -(incident_point_and_line(_60902, _60900))], (314 ^ _50796) ^ [_61124, _61126] : [orthogonal_lines(_61126, _61124), unorthogonal_lines(_61126, _61124)], (320 ^ _50796) ^ [_61287, _61289] : [-(unorthogonal_lines(_61289, _61287)), -(orthogonal_lines(_61289, _61287))]], input).
% 0.56/1.38  ncf('1',plain,[distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))],start(340 ^ 0)).
% 0.56/1.38  ncf('1.1',plain,[-(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))), apart_point_and_line(325 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []))],extension(84 ^ 1,bind([[_53657, _53659, _53661], [intersection_point(327 ^ [], 328 ^ []), 327 ^ [], 325 ^ []]]))).
% 0.56/1.38  ncf('1.1.1',plain,[-(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(325 ^ [], 328 ^ []))],extension(334 ^ 2)).
% 0.56/1.38  ncf('1.1.1.1',plain,[apart_point_and_line(325 ^ [], 328 ^ []), -(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []))],extension(84 ^ 3,bind([[_53657, _53659, _53661], [intersection_point(327 ^ [], 328 ^ []), 328 ^ [], 325 ^ []]]))).
% 0.56/1.38  ncf('1.1.1.1.1',plain,[distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))],reduction('1')).
% 0.56/1.38  ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 4,bind([[_52783, _52785], [328 ^ [], 327 ^ []]]))).
% 0.56/1.38  ncf('1.1.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 0.56/1.38  ncf('1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(50 ^ 2,bind([[_52566, _52568], [328 ^ [], 327 ^ []]]))).
% 0.56/1.38  ncf('1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 3)).
% 0.56/1.38  %-----------------------------------------------------
% 0.56/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------