%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 11:12:11 EDT 2023

% Result   : Theorem 0.37s 1.41s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri May 19 04:33:24 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.37/1.41  
% 0.37/1.41  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.41  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  ncf(matrix, plain, [(329 ^ _50875) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _50875) ^ [] : [-(convergent_lines(327 ^ [], 326 ^ []))], (333 ^ _50875) ^ [] : [-(convergent_lines(325 ^ [], 327 ^ []))], (335 ^ _50875) ^ [] : [-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (337 ^ _50875) ^ [] : [incident_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ [])], (2 ^ _50875) ^ [_50978] : [distinct_points(_50978, _50978)], (4 ^ _50875) ^ [_51055] : [distinct_lines(_51055, _51055)], (6 ^ _50875) ^ [_51132] : [convergent_lines(_51132, _51132)], (8 ^ _50875) ^ [_51253, _51255, _51257] : [distinct_points(_51257, _51255), -(distinct_points(_51257, _51253)), -(distinct_points(_51255, _51253))], (18 ^ _50875) ^ [_51577, _51579, _51581] : [distinct_lines(_51581, _51579), -(distinct_lines(_51581, _51577)), -(distinct_lines(_51579, _51577))], (28 ^ _50875) ^ [_51901, _51903, _51905] : [convergent_lines(_51905, _51903), -(convergent_lines(_51905, _51901)), -(convergent_lines(_51903, _51901))], (38 ^ _50875) ^ [_52211, _52213] : [distinct_points(_52213, _52211), apart_point_and_line(_52213, line_connecting(_52213, _52211))], (44 ^ _50875) ^ [_52428, _52430] : [distinct_points(_52430, _52428), apart_point_and_line(_52428, line_connecting(_52430, _52428))], (50 ^ _50875) ^ [_52645, _52647] : [convergent_lines(_52647, _52645), apart_point_and_line(intersection_point(_52647, _52645), _52647)], (56 ^ _50875) ^ [_52862, _52864] : [convergent_lines(_52864, _52862), apart_point_and_line(intersection_point(_52864, _52862), _52862)], (62 ^ _50875) ^ [_53107, _53109, _53111, _53113] : [distinct_points(_53113, _53111), distinct_lines(_53109, _53107), -(apart_point_and_line(_53113, _53109)), -(apart_point_and_line(_53113, _53107)), -(apart_point_and_line(_53111, _53109)), -(apart_point_and_line(_53111, _53107))], (84 ^ _50875) ^ [_53736, _53738, _53740] : [apart_point_and_line(_53740, _53738), -(distinct_points(_53740, _53736)), -(apart_point_and_line(_53736, _53738))], (94 ^ _50875) ^ [_54060, _54062, _54064] : [apart_point_and_line(_54064, _54062), -(distinct_lines(_54062, _54060)), -(apart_point_and_line(_54064, _54060))], (104 ^ _50875) ^ [_54364, _54366, _54368] : [convergent_lines(_54368, _54366), -(distinct_lines(_54366, _54364)), -(convergent_lines(_54368, _54364))], (114 ^ _50875) ^ [_54700, _54702] : [distinct_lines(_54702, _54700), -(convergent_lines(_54702, _54700))], (120 ^ _50875) ^ [_54914, _54916] : [convergent_lines(parallel_through_point(_54914, _54916), _54914)], (122 ^ _50875) ^ [_55010, _55012] : [apart_point_and_line(_55012, parallel_through_point(_55010, _55012))], (124 ^ _50875) ^ [_55116, _55118, _55120] : [distinct_lines(_55118, _55116), -(apart_point_and_line(_55120, _55118)), -(apart_point_and_line(_55120, _55116)), -(convergent_lines(_55118, _55116))], (138 ^ _50875) ^ [_55544, _55546] : [-(convergent_lines(_55546, _55544)), -(unorthogonal_lines(_55546, _55544))], (144 ^ _50875) ^ [_55769, _55771, _55773] : [convergent_lines(_55773, _55771), unorthogonal_lines(_55773, _55771), 153 ^ _50875 : [(154 ^ _50875) ^ [] : [-(convergent_lines(_55773, _55769))], (156 ^ _50875) ^ [] : [-(unorthogonal_lines(_55773, _55769))]], 157 ^ _50875 : [(158 ^ _50875) ^ [] : [-(convergent_lines(_55771, _55769))], (160 ^ _50875) ^ [] : [-(unorthogonal_lines(_55771, _55769))]]], (162 ^ _50875) ^ [_56312, _56314] : [unorthogonal_lines(orthogonal_through_point(_56312, _56314), _56312)], (164 ^ _50875) ^ [_56408, _56410] : [apart_point_and_line(_56410, orthogonal_through_point(_56408, _56410))], (166 ^ _50875) ^ [_56528, _56530, _56532, _56534] : [distinct_lines(_56532, _56530), -(apart_point_and_line(_56534, _56532)), -(apart_point_and_line(_56534, _56530)), -(unorthogonal_lines(_56532, _56528)), -(unorthogonal_lines(_56530, _56528))], (184 ^ _50875) ^ [_57072, _57074] : [-(convergent_lines(_57074, _57072)), -(unorthogonal_lines(_57074, _57072))], (208 ^ _50875) ^ [_57866, _57868, _57870] : [convergent_lines(_57868, _57866), -(unorthogonal_lines(_57870, _57868)), -(unorthogonal_lines(_57870, _57866))], (190 ^ _50875) ^ [_57301, _57303, _57305] : [193 ^ _50875 : [(194 ^ _50875) ^ [] : [-(convergent_lines(_57305, _57303))], (196 ^ _50875) ^ [] : [-(unorthogonal_lines(_57305, _57303))]], 197 ^ _50875 : [(198 ^ _50875) ^ [] : [-(convergent_lines(_57305, _57301))], (200 ^ _50875) ^ [] : [-(unorthogonal_lines(_57305, _57301))]], convergent_lines(_57303, _57301), unorthogonal_lines(_57303, _57301)], (218 ^ _50875) ^ [_58206, _58208] : [-(line(line_connecting(_58208, _58206))), point(_58208), point(_58206), distinct_points(_58208, _58206)], (232 ^ _50875) ^ [_58594, _58596] : [-(point(intersection_point(_58596, _58594))), line(_58596), line(_58594), convergent_lines(_58596, _58594)], (246 ^ _50875) ^ [_58982, _58984] : [-(line(parallel_through_point(_58984, _58982))), line(_58984), point(_58982)], (256 ^ _50875) ^ [_59261, _59263] : [-(line(orthogonal_through_point(_59263, _59261))), line(_59263), point(_59261)], (266 ^ _50875) ^ [_59595, _59597] : [equal_points(_59597, _59595), distinct_points(_59597, _59595)], (272 ^ _50875) ^ [_59758, _59760] : [-(distinct_points(_59760, _59758)), -(equal_points(_59760, _59758))], (278 ^ _50875) ^ [_60002, _60004] : [equal_lines(_60004, _60002), distinct_lines(_60004, _60002)], (284 ^ _50875) ^ [_60165, _60167] : [-(distinct_lines(_60167, _60165)), -(equal_lines(_60167, _60165))], (290 ^ _50875) ^ [_60409, _60411] : [parallel_lines(_60411, _60409), convergent_lines(_60411, _60409)], (296 ^ _50875) ^ [_60572, _60574] : [-(convergent_lines(_60574, _60572)), -(parallel_lines(_60574, _60572))], (302 ^ _50875) ^ [_60816, _60818] : [incident_point_and_line(_60818, _60816), apart_point_and_line(_60818, _60816)], (308 ^ _50875) ^ [_60979, _60981] : [-(apart_point_and_line(_60981, _60979)), -(incident_point_and_line(_60981, _60979))], (314 ^ _50875) ^ [_61203, _61205] : [orthogonal_lines(_61205, _61203), unorthogonal_lines(_61205, _61203)], (320 ^ _50875) ^ [_61366, _61368] : [-(unorthogonal_lines(_61368, _61366)), -(orthogonal_lines(_61368, _61366))]], input).
% 0.37/1.41  ncf('1',plain,[distinct_lines(327 ^ [], 327 ^ [])],start(4 ^ 0,bind([[_51055], [327 ^ []]]))).
% 0.37/1.41  ncf('1.1',plain,[-(distinct_lines(327 ^ [], 327 ^ [])), distinct_lines(327 ^ [], parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ []))), -(distinct_lines(parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ []))],extension(18 ^ 1,bind([[_51577, _51579, _51581], [327 ^ [], parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ []]]))).
% 0.37/1.41  ncf('1.1.1',plain,[-(distinct_lines(327 ^ [], parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])))), apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ []), -(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ []))))],extension(94 ^ 2,bind([[_54060, _54062, _54064], [parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ [], intersection_point(326 ^ [], 325 ^ [])]]))).
% 0.37/1.41  ncf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ [])), -(incident_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ []))],extension(308 ^ 3,bind([[_60979, _60981], [327 ^ [], intersection_point(326 ^ [], 325 ^ [])]]))).
% 0.37/1.41  ncf('1.1.1.1.1',plain,[incident_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ [])],extension(337 ^ 4)).
% 0.37/1.41  ncf('1.1.1.2',plain,[apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])))],extension(122 ^ 3,bind([[_55010, _55012], [327 ^ [], intersection_point(326 ^ [], 325 ^ [])]]))).
% 0.37/1.41  ncf('1.1.2',plain,[distinct_lines(parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ []), -(convergent_lines(parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ []))],extension(114 ^ 2,bind([[_54700, _54702], [327 ^ [], parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ []))]]))).
% 0.37/1.41  ncf('1.1.2.1',plain,[convergent_lines(parallel_through_point(327 ^ [], intersection_point(326 ^ [], 325 ^ [])), 327 ^ [])],extension(120 ^ 3,bind([[_54914, _54916], [327 ^ [], intersection_point(326 ^ [], 325 ^ [])]]))).
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------