%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 43.56s 42.79s
% Output   : Proof 43.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:16:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 43.56/42.79  
% 43.56/42.79  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.56/42.79  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.56/42.79  %-----------------------------------------------------
% 43.56/42.79  ncf(matrix, plain, [(330 ^ _66850) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (340 ^ _66850) ^ [] : [apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))], (334 ^ _66850) ^ [] : [-(apart_point_and_line(325 ^ [], line_connecting(327 ^ [], 328 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(327 ^ [], 328 ^ [])))], (342 ^ _66850) ^ [] : [apart_point_and_line(328 ^ [], line_connecting(325 ^ [], 326 ^ []))], (332 ^ _66850) ^ [] : [-(distinct_points(327 ^ [], 328 ^ []))], !, (162 ^ _55824) ^ [_61241, _61243] : [unorthogonal_lines(orthogonal_through_point(_61241, _61243), _61241)], (6 ^ _55824) ^ [_56061] : [convergent_lines(_56061, _56061)], (38 ^ _55824) ^ [_57140, _57142] : [distinct_points(_57142, _57140), apart_point_and_line(_57142, line_connecting(_57142, _57140))], (302 ^ _55824) ^ [_65745, _65747] : [incident_point_and_line(_65747, _65745), apart_point_and_line(_65747, _65745)], (44 ^ _55824) ^ [_57357, _57359] : [distinct_points(_57359, _57357), apart_point_and_line(_57357, line_connecting(_57359, _57357))], (164 ^ _55824) ^ [_61337, _61339] : [apart_point_and_line(_61339, orthogonal_through_point(_61337, _61339))], (208 ^ _55824) ^ [_62795, _62797, _62799] : [convergent_lines(_62797, _62795), -(unorthogonal_lines(_62799, _62797)), -(unorthogonal_lines(_62799, _62795))], (284 ^ _55824) ^ [_65094, _65096] : [-(distinct_lines(_65096, _65094)), -(equal_lines(_65096, _65094))], (320 ^ _55824) ^ [_66295, _66297] : [-(unorthogonal_lines(_66297, _66295)), -(orthogonal_lines(_66297, _66295))], (218 ^ _55824) ^ [_63135, _63137] : [-(line(line_connecting(_63137, _63135))), point(_63137), point(_63135), distinct_points(_63137, _63135)], (138 ^ _55824) ^ [_60473, _60475] : [-(convergent_lines(_60475, _60473)), -(unorthogonal_lines(_60475, _60473))], (62 ^ _55824) ^ [_58036, _58038, _58040, _58042] : [distinct_points(_58042, _58040), distinct_lines(_58038, _58036), -(apart_point_and_line(_58042, _58038)), -(apart_point_and_line(_58042, _58036)), -(apart_point_and_line(_58040, _58038)), -(apart_point_and_line(_58040, _58036))], (296 ^ _55824) ^ [_65501, _65503] : [-(convergent_lines(_65503, _65501)), -(parallel_lines(_65503, _65501))], (272 ^ _55824) ^ [_64687, _64689] : [-(distinct_points(_64689, _64687)), -(equal_points(_64689, _64687))], (308 ^ _55824) ^ [_65908, _65910] : [-(apart_point_and_line(_65910, _65908)), -(incident_point_and_line(_65910, _65908))], (124 ^ _55824) ^ [_60045, _60047, _60049] : [distinct_lines(_60047, _60045), -(apart_point_and_line(_60049, _60047)), -(apart_point_and_line(_60049, _60045)), -(convergent_lines(_60047, _60045))], (184 ^ _55824) ^ [_62001, _62003] : [-(convergent_lines(_62003, _62001)), -(unorthogonal_lines(_62003, _62001))], (2 ^ _55824) ^ [_55907] : [distinct_points(_55907, _55907)], (4 ^ _55824) ^ [_55984] : [distinct_lines(_55984, _55984)], (266 ^ _55824) ^ [_64524, _64526] : [equal_points(_64526, _64524), distinct_points(_64526, _64524)], (114 ^ _55824) ^ [_59629, _59631] : [distinct_lines(_59631, _59629), -(convergent_lines(_59631, _59629))], (94 ^ _55824) ^ [_58989, _58991, _58993] : [apart_point_and_line(_58993, _58991), -(distinct_lines(_58991, _58989)), -(apart_point_and_line(_58993, _58989))], (56 ^ _55824) ^ [_57791, _57793] : [convergent_lines(_57793, _57791), apart_point_and_line(intersection_point(_57793, _57791), _57791)], (28 ^ _55824) ^ [_56830, _56832, _56834] : [convergent_lines(_56834, _56832), -(convergent_lines(_56834, _56830)), -(convergent_lines(_56832, _56830))], (8 ^ _55824) ^ [_56182, _56184, _56186] : [distinct_points(_56186, _56184), -(distinct_points(_56186, _56182)), -(distinct_points(_56184, _56182))], (50 ^ _55824) ^ [_57574, _57576] : [convergent_lines(_57576, _57574), apart_point_and_line(intersection_point(_57576, _57574), _57576)], (84 ^ _55824) ^ [_58665, _58667, _58669] : [apart_point_and_line(_58669, _58667), -(distinct_points(_58669, _58665)), -(apart_point_and_line(_58665, _58667))], (256 ^ _55824) ^ [_64190, _64192] : [-(line(orthogonal_through_point(_64192, _64190))), line(_64192), point(_64190)], (166 ^ _55824) ^ [_61457, _61459, _61461, _61463] : [distinct_lines(_61461, _61459), -(apart_point_and_line(_61463, _61461)), -(apart_point_and_line(_61463, _61459)), -(unorthogonal_lines(_61461, _61457)), -(unorthogonal_lines(_61459, _61457))], (290 ^ _55824) ^ [_65338, _65340] : [parallel_lines(_65340, _65338), convergent_lines(_65340, _65338)], (122 ^ _55824) ^ [_59939, _59941] : [apart_point_and_line(_59941, parallel_through_point(_59939, _59941))], (278 ^ _55824) ^ [_64931, _64933] : [equal_lines(_64933, _64931), distinct_lines(_64933, _64931)], (104 ^ _55824) ^ [_59293, _59295, _59297] : [convergent_lines(_59297, _59295), -(distinct_lines(_59295, _59293)), -(convergent_lines(_59297, _59293))], (314 ^ _55824) ^ [_66132, _66134] : [orthogonal_lines(_66134, _66132), unorthogonal_lines(_66134, _66132)], (246 ^ _55824) ^ [_63911, _63913] : [-(line(parallel_through_point(_63913, _63911))), line(_63913), point(_63911)], (18 ^ _55824) ^ [_56506, _56508, _56510] : [distinct_lines(_56510, _56508), -(distinct_lines(_56510, _56506)), -(distinct_lines(_56508, _56506))], (190 ^ _55824) ^ [_62230, _62232, _62234] : [193 ^ _55824 : [(196 ^ _55824) ^ [] : [-(unorthogonal_lines(_62234, _62232))], (194 ^ _55824) ^ [] : [-(convergent_lines(_62234, _62232))]], 197 ^ _55824 : [(200 ^ _55824) ^ [] : [-(unorthogonal_lines(_62234, _62230))], (198 ^ _55824) ^ [] : [-(convergent_lines(_62234, _62230))]], convergent_lines(_62232, _62230), unorthogonal_lines(_62232, _62230)], (232 ^ _55824) ^ [_63523, _63525] : [-(point(intersection_point(_63525, _63523))), line(_63525), line(_63523), convergent_lines(_63525, _63523)], (120 ^ _55824) ^ [_59843, _59845] : [convergent_lines(parallel_through_point(_59843, _59845), _59843)], (144 ^ _55824) ^ [_60698, _60700, _60702] : [convergent_lines(_60702, _60700), unorthogonal_lines(_60702, _60700), 153 ^ _55824 : [(156 ^ _55824) ^ [] : [-(unorthogonal_lines(_60702, _60698))], (154 ^ _55824) ^ [] : [-(convergent_lines(_60702, _60698))]], 157 ^ _55824 : [(160 ^ _55824) ^ [] : [-(unorthogonal_lines(_60700, _60698))], (158 ^ _55824) ^ [] : [-(convergent_lines(_60700, _60698))]]]], input).
% 43.56/42.79  ncf('1',plain,[apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(340 ^ 0)).
% 43.56/42.79  ncf('1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), distinct_points(327 ^ [], 328 ^ []), distinct_lines(line_connecting(327 ^ [], 328 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], line_connecting(327 ^ [], 328 ^ []))), -(apart_point_and_line(328 ^ [], line_connecting(327 ^ [], 328 ^ []))), -(apart_point_and_line(328 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 1,bind([[_58036, _58038, _58040, _58042], [line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 328 ^ []), 328 ^ [], 327 ^ []]]))).
% 43.56/42.79  ncf('1.1.1',plain,[-(distinct_points(327 ^ [], 328 ^ []))],extension(332 ^ 2)).
% 43.56/42.79  ncf('1.1.2',plain,[-(distinct_lines(line_connecting(327 ^ [], 328 ^ []), line_connecting(325 ^ [], 326 ^ []))), apart_point_and_line(325 ^ [], line_connecting(327 ^ [], 328 ^ [])), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 2,bind([[_58989, _58991, _58993], [line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 328 ^ []), 325 ^ []]]))).
% 43.56/42.79  ncf('1.1.2.1',plain,[-(apart_point_and_line(325 ^ [], line_connecting(327 ^ [], 328 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(327 ^ [], 328 ^ [])))],extension(334 ^ 3)).
% 43.56/42.79  ncf('1.1.2.1.1',plain,[apart_point_and_line(326 ^ [], line_connecting(327 ^ [], 328 ^ [])), -(distinct_lines(line_connecting(327 ^ [], 328 ^ []), line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 4,bind([[_58989, _58991, _58993], [line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 328 ^ []), 326 ^ []]]))).
% 43.56/42.79  ncf('1.1.2.1.1.1',plain,[distinct_lines(line_connecting(327 ^ [], 328 ^ []), line_connecting(325 ^ [], 326 ^ []))],reduction('1.1')).
% 43.56/42.79  ncf('1.1.2.1.1.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 5,bind([[_57357, _57359], [326 ^ [], 325 ^ []]]))).
% 43.56/42.79  ncf('1.1.2.1.1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 6)).
% 43.56/42.79  ncf('1.1.2.2',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 3,bind([[_57140, _57142], [326 ^ [], 325 ^ []]]))).
% 43.56/42.79  ncf('1.1.2.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 4)).
% 43.56/42.79  ncf('1.1.3',plain,[apart_point_and_line(327 ^ [], line_connecting(327 ^ [], 328 ^ [])), distinct_points(327 ^ [], 328 ^ [])],extension(38 ^ 2,bind([[_57140, _57142], [328 ^ [], 327 ^ []]]))).
% 43.56/42.79  ncf('1.1.3.1',plain,[-(distinct_points(327 ^ [], 328 ^ []))],lemmata('[1].x')).
% 43.56/42.79  ncf('1.1.4',plain,[apart_point_and_line(328 ^ [], line_connecting(327 ^ [], 328 ^ [])), distinct_points(327 ^ [], 328 ^ [])],extension(44 ^ 2,bind([[_57357, _57359], [328 ^ [], 327 ^ []]]))).
% 43.56/42.79  ncf('1.1.4.1',plain,[-(distinct_points(327 ^ [], 328 ^ []))],lemmata('[1].x')).
% 43.56/42.79  ncf('1.1.5',plain,[apart_point_and_line(328 ^ [], line_connecting(325 ^ [], 326 ^ []))],extension(342 ^ 2)).
% 43.56/42.79  %-----------------------------------------------------
% 43.56/42.79  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------