%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 11:12:08 EDT 2023

% Result   : Theorem 0.43s 1.39s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May 19 03:32:31 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.43/1.39  
% 0.43/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.43/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.39  %-----------------------------------------------------
% 0.43/1.39  ncf(matrix, plain, [(329 ^ _51744) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _51744) ^ [] : [-(distinct_points(325 ^ [], 327 ^ []))], (333 ^ _51744) ^ [] : [-(distinct_points(326 ^ [], 327 ^ []))], (335 ^ _51744) ^ [] : [-(incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (337 ^ _51744) ^ [] : [incident_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ []))], (2 ^ _51744) ^ [_51847] : [distinct_points(_51847, _51847)], (4 ^ _51744) ^ [_51924] : [distinct_lines(_51924, _51924)], (6 ^ _51744) ^ [_52001] : [convergent_lines(_52001, _52001)], (8 ^ _51744) ^ [_52122, _52124, _52126] : [distinct_points(_52126, _52124), -(distinct_points(_52126, _52122)), -(distinct_points(_52124, _52122))], (18 ^ _51744) ^ [_52446, _52448, _52450] : [distinct_lines(_52450, _52448), -(distinct_lines(_52450, _52446)), -(distinct_lines(_52448, _52446))], (28 ^ _51744) ^ [_52770, _52772, _52774] : [convergent_lines(_52774, _52772), -(convergent_lines(_52774, _52770)), -(convergent_lines(_52772, _52770))], (38 ^ _51744) ^ [_53080, _53082] : [distinct_points(_53082, _53080), apart_point_and_line(_53082, line_connecting(_53082, _53080))], (44 ^ _51744) ^ [_53297, _53299] : [distinct_points(_53299, _53297), apart_point_and_line(_53297, line_connecting(_53299, _53297))], (50 ^ _51744) ^ [_53514, _53516] : [convergent_lines(_53516, _53514), apart_point_and_line(intersection_point(_53516, _53514), _53516)], (56 ^ _51744) ^ [_53731, _53733] : [convergent_lines(_53733, _53731), apart_point_and_line(intersection_point(_53733, _53731), _53731)], (62 ^ _51744) ^ [_53976, _53978, _53980, _53982] : [distinct_points(_53982, _53980), distinct_lines(_53978, _53976), -(apart_point_and_line(_53982, _53978)), -(apart_point_and_line(_53982, _53976)), -(apart_point_and_line(_53980, _53978)), -(apart_point_and_line(_53980, _53976))], (84 ^ _51744) ^ [_54605, _54607, _54609] : [apart_point_and_line(_54609, _54607), -(distinct_points(_54609, _54605)), -(apart_point_and_line(_54605, _54607))], (94 ^ _51744) ^ [_54929, _54931, _54933] : [apart_point_and_line(_54933, _54931), -(distinct_lines(_54931, _54929)), -(apart_point_and_line(_54933, _54929))], (104 ^ _51744) ^ [_55233, _55235, _55237] : [convergent_lines(_55237, _55235), -(distinct_lines(_55235, _55233)), -(convergent_lines(_55237, _55233))], (114 ^ _51744) ^ [_55569, _55571] : [distinct_lines(_55571, _55569), -(convergent_lines(_55571, _55569))], (120 ^ _51744) ^ [_55783, _55785] : [convergent_lines(parallel_through_point(_55783, _55785), _55783)], (122 ^ _51744) ^ [_55879, _55881] : [apart_point_and_line(_55881, parallel_through_point(_55879, _55881))], (124 ^ _51744) ^ [_55985, _55987, _55989] : [distinct_lines(_55987, _55985), -(apart_point_and_line(_55989, _55987)), -(apart_point_and_line(_55989, _55985)), -(convergent_lines(_55987, _55985))], (138 ^ _51744) ^ [_56413, _56415] : [-(convergent_lines(_56415, _56413)), -(unorthogonal_lines(_56415, _56413))], (144 ^ _51744) ^ [_56638, _56640, _56642] : [convergent_lines(_56642, _56640), unorthogonal_lines(_56642, _56640), 153 ^ _51744 : [(154 ^ _51744) ^ [] : [-(convergent_lines(_56642, _56638))], (156 ^ _51744) ^ [] : [-(unorthogonal_lines(_56642, _56638))]], 157 ^ _51744 : [(158 ^ _51744) ^ [] : [-(convergent_lines(_56640, _56638))], (160 ^ _51744) ^ [] : [-(unorthogonal_lines(_56640, _56638))]]], (162 ^ _51744) ^ [_57181, _57183] : [unorthogonal_lines(orthogonal_through_point(_57181, _57183), _57181)], (164 ^ _51744) ^ [_57277, _57279] : [apart_point_and_line(_57279, orthogonal_through_point(_57277, _57279))], (166 ^ _51744) ^ [_57397, _57399, _57401, _57403] : [distinct_lines(_57401, _57399), -(apart_point_and_line(_57403, _57401)), -(apart_point_and_line(_57403, _57399)), -(unorthogonal_lines(_57401, _57397)), -(unorthogonal_lines(_57399, _57397))], (184 ^ _51744) ^ [_57941, _57943] : [-(convergent_lines(_57943, _57941)), -(unorthogonal_lines(_57943, _57941))], (208 ^ _51744) ^ [_58735, _58737, _58739] : [convergent_lines(_58737, _58735), -(unorthogonal_lines(_58739, _58737)), -(unorthogonal_lines(_58739, _58735))], (190 ^ _51744) ^ [_58170, _58172, _58174] : [193 ^ _51744 : [(194 ^ _51744) ^ [] : [-(convergent_lines(_58174, _58172))], (196 ^ _51744) ^ [] : [-(unorthogonal_lines(_58174, _58172))]], 197 ^ _51744 : [(198 ^ _51744) ^ [] : [-(convergent_lines(_58174, _58170))], (200 ^ _51744) ^ [] : [-(unorthogonal_lines(_58174, _58170))]], convergent_lines(_58172, _58170), unorthogonal_lines(_58172, _58170)], (218 ^ _51744) ^ [_59075, _59077] : [-(line(line_connecting(_59077, _59075))), point(_59077), point(_59075), distinct_points(_59077, _59075)], (232 ^ _51744) ^ [_59463, _59465] : [-(point(intersection_point(_59465, _59463))), line(_59465), line(_59463), convergent_lines(_59465, _59463)], (246 ^ _51744) ^ [_59851, _59853] : [-(line(parallel_through_point(_59853, _59851))), line(_59853), point(_59851)], (256 ^ _51744) ^ [_60130, _60132] : [-(line(orthogonal_through_point(_60132, _60130))), line(_60132), point(_60130)], (266 ^ _51744) ^ [_60464, _60466] : [equal_points(_60466, _60464), distinct_points(_60466, _60464)], (272 ^ _51744) ^ [_60627, _60629] : [-(distinct_points(_60629, _60627)), -(equal_points(_60629, _60627))], (278 ^ _51744) ^ [_60871, _60873] : [equal_lines(_60873, _60871), distinct_lines(_60873, _60871)], (284 ^ _51744) ^ [_61034, _61036] : [-(distinct_lines(_61036, _61034)), -(equal_lines(_61036, _61034))], (290 ^ _51744) ^ [_61278, _61280] : [parallel_lines(_61280, _61278), convergent_lines(_61280, _61278)], (296 ^ _51744) ^ [_61441, _61443] : [-(convergent_lines(_61443, _61441)), -(parallel_lines(_61443, _61441))], (302 ^ _51744) ^ [_61685, _61687] : [incident_point_and_line(_61687, _61685), apart_point_and_line(_61687, _61685)], (308 ^ _51744) ^ [_61848, _61850] : [-(apart_point_and_line(_61850, _61848)), -(incident_point_and_line(_61850, _61848))], (314 ^ _51744) ^ [_62072, _62074] : [orthogonal_lines(_62074, _62072), unorthogonal_lines(_62074, _62072)], (320 ^ _51744) ^ [_62235, _62237] : [-(unorthogonal_lines(_62237, _62235)), -(orthogonal_lines(_62237, _62235))]], input).
% 0.43/1.39  ncf('1',plain,[distinct_points(325 ^ [], 326 ^ []), apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(38 ^ 0,bind([[_53080, _53082], [326 ^ [], 325 ^ []]]))).
% 0.43/1.39  ncf('1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 1)).
% 0.43/1.39  ncf('1.2',plain,[-(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), distinct_points(326 ^ [], 325 ^ []), distinct_lines(line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])))],extension(62 ^ 1,bind([[_53976, _53978, _53980, _53982], [line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []), 325 ^ [], 326 ^ []]]))).
% 0.43/1.39  ncf('1.2.1',plain,[-(distinct_points(326 ^ [], 325 ^ [])), distinct_points(325 ^ [], 326 ^ []), -(distinct_points(325 ^ [], 325 ^ []))],extension(8 ^ 2,bind([[_52122, _52124, _52126], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.43/1.39  ncf('1.2.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.43/1.39  ncf('1.2.1.2',plain,[distinct_points(325 ^ [], 325 ^ [])],extension(2 ^ 3,bind([[_51847], [325 ^ []]]))).
% 0.43/1.39  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ []))), apart_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ [])), -(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 2,bind([[_54929, _54931, _54933], [line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []), 327 ^ []]]))).
% 0.43/1.39  ncf('1.2.2.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ []))), -(incident_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ [])))],extension(308 ^ 3,bind([[_61848, _61850], [line_connecting(326 ^ [], 325 ^ []), 327 ^ []]]))).
% 0.43/1.39  ncf('1.2.2.1.1',plain,[incident_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ []))],extension(337 ^ 4)).
% 0.43/1.39  ncf('1.2.2.2',plain,[apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],extension(302 ^ 3,bind([[_61685, _61687], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.43/1.39  ncf('1.2.2.2.1',plain,[-(incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(335 ^ 4)).
% 0.43/1.39  ncf('1.2.3',plain,[apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(38 ^ 2,bind([[_53080, _53082], [325 ^ [], 326 ^ []]]))).
% 0.43/1.39  ncf('1.2.3.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],lemmata('[1].x')).
% 0.43/1.39  ncf('1.2.4',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_53297, _53299], [326 ^ [], 325 ^ []]]))).
% 0.43/1.39  ncf('1.2.4.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('x')).
% 0.43/1.39  ncf('1.2.5',plain,[apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(44 ^ 2,bind([[_53297, _53299], [325 ^ [], 326 ^ []]]))).
% 0.43/1.39  ncf('1.2.5.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],lemmata('[1].x')).
% 0.43/1.39  %-----------------------------------------------------
% 0.43/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------