TSTP Solution File: GEO197+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:12:10 EDT 2023

% Result   : Theorem 0.83s 1.37s
% Output   : Proof 0.83s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 04:13:37 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.83/1.37  
% 0.83/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.83/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.37  %-----------------------------------------------------
% 0.83/1.37  ncf(matrix, plain, [(329 ^ _50812) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _50812) ^ [] : [-(convergent_lines(327 ^ [], 326 ^ []))], (333 ^ _50812) ^ [] : [-(convergent_lines(325 ^ [], 327 ^ []))], (335 ^ _50812) ^ [] : [-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (337 ^ _50812) ^ [] : [incident_point_and_line(intersection_point(327 ^ [], 326 ^ []), 325 ^ [])], (2 ^ _50812) ^ [_50915] : [distinct_points(_50915, _50915)], (4 ^ _50812) ^ [_50992] : [distinct_lines(_50992, _50992)], (6 ^ _50812) ^ [_51069] : [convergent_lines(_51069, _51069)], (8 ^ _50812) ^ [_51190, _51192, _51194] : [distinct_points(_51194, _51192), -(distinct_points(_51194, _51190)), -(distinct_points(_51192, _51190))], (18 ^ _50812) ^ [_51514, _51516, _51518] : [distinct_lines(_51518, _51516), -(distinct_lines(_51518, _51514)), -(distinct_lines(_51516, _51514))], (28 ^ _50812) ^ [_51838, _51840, _51842] : [convergent_lines(_51842, _51840), -(convergent_lines(_51842, _51838)), -(convergent_lines(_51840, _51838))], (38 ^ _50812) ^ [_52148, _52150] : [distinct_points(_52150, _52148), apart_point_and_line(_52150, line_connecting(_52150, _52148))], (44 ^ _50812) ^ [_52365, _52367] : [distinct_points(_52367, _52365), apart_point_and_line(_52365, line_connecting(_52367, _52365))], (50 ^ _50812) ^ [_52582, _52584] : [convergent_lines(_52584, _52582), apart_point_and_line(intersection_point(_52584, _52582), _52584)], (56 ^ _50812) ^ [_52799, _52801] : [convergent_lines(_52801, _52799), apart_point_and_line(intersection_point(_52801, _52799), _52799)], (62 ^ _50812) ^ [_53044, _53046, _53048, _53050] : [distinct_points(_53050, _53048), distinct_lines(_53046, _53044), -(apart_point_and_line(_53050, _53046)), -(apart_point_and_line(_53050, _53044)), -(apart_point_and_line(_53048, _53046)), -(apart_point_and_line(_53048, _53044))], (84 ^ _50812) ^ [_53673, _53675, _53677] : [apart_point_and_line(_53677, _53675), -(distinct_points(_53677, _53673)), -(apart_point_and_line(_53673, _53675))], (94 ^ _50812) ^ [_53997, _53999, _54001] : [apart_point_and_line(_54001, _53999), -(distinct_lines(_53999, _53997)), -(apart_point_and_line(_54001, _53997))], (104 ^ _50812) ^ [_54301, _54303, _54305] : [convergent_lines(_54305, _54303), -(distinct_lines(_54303, _54301)), -(convergent_lines(_54305, _54301))], (114 ^ _50812) ^ [_54637, _54639] : [distinct_lines(_54639, _54637), -(convergent_lines(_54639, _54637))], (120 ^ _50812) ^ [_54851, _54853] : [convergent_lines(parallel_through_point(_54851, _54853), _54851)], (122 ^ _50812) ^ [_54947, _54949] : [apart_point_and_line(_54949, parallel_through_point(_54947, _54949))], (124 ^ _50812) ^ [_55053, _55055, _55057] : [distinct_lines(_55055, _55053), -(apart_point_and_line(_55057, _55055)), -(apart_point_and_line(_55057, _55053)), -(convergent_lines(_55055, _55053))], (138 ^ _50812) ^ [_55481, _55483] : [-(convergent_lines(_55483, _55481)), -(unorthogonal_lines(_55483, _55481))], (144 ^ _50812) ^ [_55706, _55708, _55710] : [convergent_lines(_55710, _55708), unorthogonal_lines(_55710, _55708), 153 ^ _50812 : [(154 ^ _50812) ^ [] : [-(convergent_lines(_55710, _55706))], (156 ^ _50812) ^ [] : [-(unorthogonal_lines(_55710, _55706))]], 157 ^ _50812 : [(158 ^ _50812) ^ [] : [-(convergent_lines(_55708, _55706))], (160 ^ _50812) ^ [] : [-(unorthogonal_lines(_55708, _55706))]]], (162 ^ _50812) ^ [_56249, _56251] : [unorthogonal_lines(orthogonal_through_point(_56249, _56251), _56249)], (164 ^ _50812) ^ [_56345, _56347] : [apart_point_and_line(_56347, orthogonal_through_point(_56345, _56347))], (166 ^ _50812) ^ [_56465, _56467, _56469, _56471] : [distinct_lines(_56469, _56467), -(apart_point_and_line(_56471, _56469)), -(apart_point_and_line(_56471, _56467)), -(unorthogonal_lines(_56469, _56465)), -(unorthogonal_lines(_56467, _56465))], (184 ^ _50812) ^ [_57009, _57011] : [-(convergent_lines(_57011, _57009)), -(unorthogonal_lines(_57011, _57009))], (208 ^ _50812) ^ [_57803, _57805, _57807] : [convergent_lines(_57805, _57803), -(unorthogonal_lines(_57807, _57805)), -(unorthogonal_lines(_57807, _57803))], (190 ^ _50812) ^ [_57238, _57240, _57242] : [193 ^ _50812 : [(194 ^ _50812) ^ [] : [-(convergent_lines(_57242, _57240))], (196 ^ _50812) ^ [] : [-(unorthogonal_lines(_57242, _57240))]], 197 ^ _50812 : [(198 ^ _50812) ^ [] : [-(convergent_lines(_57242, _57238))], (200 ^ _50812) ^ [] : [-(unorthogonal_lines(_57242, _57238))]], convergent_lines(_57240, _57238), unorthogonal_lines(_57240, _57238)], (218 ^ _50812) ^ [_58143, _58145] : [-(line(line_connecting(_58145, _58143))), point(_58145), point(_58143), distinct_points(_58145, _58143)], (232 ^ _50812) ^ [_58531, _58533] : [-(point(intersection_point(_58533, _58531))), line(_58533), line(_58531), convergent_lines(_58533, _58531)], (246 ^ _50812) ^ [_58919, _58921] : [-(line(parallel_through_point(_58921, _58919))), line(_58921), point(_58919)], (256 ^ _50812) ^ [_59198, _59200] : [-(line(orthogonal_through_point(_59200, _59198))), line(_59200), point(_59198)], (266 ^ _50812) ^ [_59532, _59534] : [equal_points(_59534, _59532), distinct_points(_59534, _59532)], (272 ^ _50812) ^ [_59695, _59697] : [-(distinct_points(_59697, _59695)), -(equal_points(_59697, _59695))], (278 ^ _50812) ^ [_59939, _59941] : [equal_lines(_59941, _59939), distinct_lines(_59941, _59939)], (284 ^ _50812) ^ [_60102, _60104] : [-(distinct_lines(_60104, _60102)), -(equal_lines(_60104, _60102))], (290 ^ _50812) ^ [_60346, _60348] : [parallel_lines(_60348, _60346), convergent_lines(_60348, _60346)], (296 ^ _50812) ^ [_60509, _60511] : [-(convergent_lines(_60511, _60509)), -(parallel_lines(_60511, _60509))], (302 ^ _50812) ^ [_60753, _60755] : [incident_point_and_line(_60755, _60753), apart_point_and_line(_60755, _60753)], (308 ^ _50812) ^ [_60916, _60918] : [-(apart_point_and_line(_60918, _60916)), -(incident_point_and_line(_60918, _60916))], (314 ^ _50812) ^ [_61140, _61142] : [orthogonal_lines(_61142, _61140), unorthogonal_lines(_61142, _61140)], (320 ^ _50812) ^ [_61303, _61305] : [-(unorthogonal_lines(_61305, _61303)), -(orthogonal_lines(_61305, _61303))]], input).
% 0.83/1.37  ncf('1',plain,[convergent_lines(parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ [])],start(120 ^ 0,bind([[_54851, _54853], [325 ^ [], intersection_point(327 ^ [], 326 ^ [])]]))).
% 0.83/1.37  ncf('1.1',plain,[-(convergent_lines(parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ [])), distinct_lines(parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ [])],extension(114 ^ 1,bind([[_54637, _54639], [325 ^ [], parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ []))]]))).
% 0.83/1.37  ncf('1.1.1',plain,[-(distinct_lines(parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ [])), distinct_lines(325 ^ [], parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ []))), -(distinct_lines(325 ^ [], 325 ^ []))],extension(18 ^ 2,bind([[_51514, _51516, _51518], [325 ^ [], parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ []]]))).
% 0.83/1.37  ncf('1.1.1.1',plain,[-(distinct_lines(325 ^ [], parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])))), apart_point_and_line(intersection_point(327 ^ [], 326 ^ []), 325 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 326 ^ []), parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ []))))],extension(94 ^ 3,bind([[_53997, _53999, _54001], [parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])), 325 ^ [], intersection_point(327 ^ [], 326 ^ [])]]))).
% 0.83/1.37  ncf('1.1.1.1.1',plain,[-(apart_point_and_line(intersection_point(327 ^ [], 326 ^ []), 325 ^ [])), -(incident_point_and_line(intersection_point(327 ^ [], 326 ^ []), 325 ^ []))],extension(308 ^ 4,bind([[_60916, _60918], [325 ^ [], intersection_point(327 ^ [], 326 ^ [])]]))).
% 0.83/1.37  ncf('1.1.1.1.1.1',plain,[incident_point_and_line(intersection_point(327 ^ [], 326 ^ []), 325 ^ [])],extension(337 ^ 5)).
% 0.83/1.37  ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 326 ^ []), parallel_through_point(325 ^ [], intersection_point(327 ^ [], 326 ^ [])))],extension(122 ^ 4,bind([[_54947, _54949], [325 ^ [], intersection_point(327 ^ [], 326 ^ [])]]))).
% 0.83/1.37  ncf('1.1.1.2',plain,[distinct_lines(325 ^ [], 325 ^ [])],extension(4 ^ 3,bind([[_50992], [325 ^ []]]))).
% 0.83/1.37  %-----------------------------------------------------
% 0.83/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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