TSTP Solution File: GEO209+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:12:13 EDT 2023

% Result   : Theorem 0.45s 1.39s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n021.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 04:34:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.45/1.39  
% 0.45/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.45/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.39  %-----------------------------------------------------
% 0.45/1.39  ncf(matrix, plain, [(330 ^ _51166) ^ [] : [-(apart_point_and_line(325 ^ [], 326 ^ []))], (332 ^ _51166) ^ [] : [-(incident_point_and_line(325 ^ [], 327 ^ []))], (334 ^ _51166) ^ [] : [-(incident_point_and_line(325 ^ [], 328 ^ []))], (336 ^ _51166) ^ [] : [-(parallel_lines(327 ^ [], 326 ^ []))], (338 ^ _51166) ^ [] : [-(parallel_lines(328 ^ [], 326 ^ []))], (340 ^ _51166) ^ [] : [equal_lines(327 ^ [], 328 ^ [])], (2 ^ _51166) ^ [_51269] : [distinct_points(_51269, _51269)], (4 ^ _51166) ^ [_51346] : [distinct_lines(_51346, _51346)], (6 ^ _51166) ^ [_51423] : [convergent_lines(_51423, _51423)], (8 ^ _51166) ^ [_51544, _51546, _51548] : [distinct_points(_51548, _51546), -(distinct_points(_51548, _51544)), -(distinct_points(_51546, _51544))], (18 ^ _51166) ^ [_51868, _51870, _51872] : [distinct_lines(_51872, _51870), -(distinct_lines(_51872, _51868)), -(distinct_lines(_51870, _51868))], (28 ^ _51166) ^ [_52192, _52194, _52196] : [convergent_lines(_52196, _52194), -(convergent_lines(_52196, _52192)), -(convergent_lines(_52194, _52192))], (38 ^ _51166) ^ [_52502, _52504] : [distinct_points(_52504, _52502), apart_point_and_line(_52504, line_connecting(_52504, _52502))], (44 ^ _51166) ^ [_52719, _52721] : [distinct_points(_52721, _52719), apart_point_and_line(_52719, line_connecting(_52721, _52719))], (50 ^ _51166) ^ [_52936, _52938] : [convergent_lines(_52938, _52936), apart_point_and_line(intersection_point(_52938, _52936), _52938)], (56 ^ _51166) ^ [_53153, _53155] : [convergent_lines(_53155, _53153), apart_point_and_line(intersection_point(_53155, _53153), _53153)], (62 ^ _51166) ^ [_53398, _53400, _53402, _53404] : [distinct_points(_53404, _53402), distinct_lines(_53400, _53398), -(apart_point_and_line(_53404, _53400)), -(apart_point_and_line(_53404, _53398)), -(apart_point_and_line(_53402, _53400)), -(apart_point_and_line(_53402, _53398))], (84 ^ _51166) ^ [_54027, _54029, _54031] : [apart_point_and_line(_54031, _54029), -(distinct_points(_54031, _54027)), -(apart_point_and_line(_54027, _54029))], (94 ^ _51166) ^ [_54351, _54353, _54355] : [apart_point_and_line(_54355, _54353), -(distinct_lines(_54353, _54351)), -(apart_point_and_line(_54355, _54351))], (104 ^ _51166) ^ [_54655, _54657, _54659] : [convergent_lines(_54659, _54657), -(distinct_lines(_54657, _54655)), -(convergent_lines(_54659, _54655))], (114 ^ _51166) ^ [_54991, _54993] : [distinct_lines(_54993, _54991), -(convergent_lines(_54993, _54991))], (120 ^ _51166) ^ [_55205, _55207] : [convergent_lines(parallel_through_point(_55205, _55207), _55205)], (122 ^ _51166) ^ [_55301, _55303] : [apart_point_and_line(_55303, parallel_through_point(_55301, _55303))], (124 ^ _51166) ^ [_55407, _55409, _55411] : [distinct_lines(_55409, _55407), -(apart_point_and_line(_55411, _55409)), -(apart_point_and_line(_55411, _55407)), -(convergent_lines(_55409, _55407))], (138 ^ _51166) ^ [_55835, _55837] : [-(convergent_lines(_55837, _55835)), -(unorthogonal_lines(_55837, _55835))], (144 ^ _51166) ^ [_56060, _56062, _56064] : [convergent_lines(_56064, _56062), unorthogonal_lines(_56064, _56062), 153 ^ _51166 : [(154 ^ _51166) ^ [] : [-(convergent_lines(_56064, _56060))], (156 ^ _51166) ^ [] : [-(unorthogonal_lines(_56064, _56060))]], 157 ^ _51166 : [(158 ^ _51166) ^ [] : [-(convergent_lines(_56062, _56060))], (160 ^ _51166) ^ [] : [-(unorthogonal_lines(_56062, _56060))]]], (162 ^ _51166) ^ [_56603, _56605] : [unorthogonal_lines(orthogonal_through_point(_56603, _56605), _56603)], (164 ^ _51166) ^ [_56699, _56701] : [apart_point_and_line(_56701, orthogonal_through_point(_56699, _56701))], (166 ^ _51166) ^ [_56819, _56821, _56823, _56825] : [distinct_lines(_56823, _56821), -(apart_point_and_line(_56825, _56823)), -(apart_point_and_line(_56825, _56821)), -(unorthogonal_lines(_56823, _56819)), -(unorthogonal_lines(_56821, _56819))], (184 ^ _51166) ^ [_57363, _57365] : [-(convergent_lines(_57365, _57363)), -(unorthogonal_lines(_57365, _57363))], (208 ^ _51166) ^ [_58157, _58159, _58161] : [convergent_lines(_58159, _58157), -(unorthogonal_lines(_58161, _58159)), -(unorthogonal_lines(_58161, _58157))], (190 ^ _51166) ^ [_57592, _57594, _57596] : [193 ^ _51166 : [(194 ^ _51166) ^ [] : [-(convergent_lines(_57596, _57594))], (196 ^ _51166) ^ [] : [-(unorthogonal_lines(_57596, _57594))]], 197 ^ _51166 : [(198 ^ _51166) ^ [] : [-(convergent_lines(_57596, _57592))], (200 ^ _51166) ^ [] : [-(unorthogonal_lines(_57596, _57592))]], convergent_lines(_57594, _57592), unorthogonal_lines(_57594, _57592)], (218 ^ _51166) ^ [_58497, _58499] : [-(line(line_connecting(_58499, _58497))), point(_58499), point(_58497), distinct_points(_58499, _58497)], (232 ^ _51166) ^ [_58885, _58887] : [-(point(intersection_point(_58887, _58885))), line(_58887), line(_58885), convergent_lines(_58887, _58885)], (246 ^ _51166) ^ [_59273, _59275] : [-(line(parallel_through_point(_59275, _59273))), line(_59275), point(_59273)], (256 ^ _51166) ^ [_59552, _59554] : [-(line(orthogonal_through_point(_59554, _59552))), line(_59554), point(_59552)], (266 ^ _51166) ^ [_59886, _59888] : [equal_points(_59888, _59886), distinct_points(_59888, _59886)], (272 ^ _51166) ^ [_60049, _60051] : [-(distinct_points(_60051, _60049)), -(equal_points(_60051, _60049))], (278 ^ _51166) ^ [_60293, _60295] : [equal_lines(_60295, _60293), distinct_lines(_60295, _60293)], (284 ^ _51166) ^ [_60456, _60458] : [-(distinct_lines(_60458, _60456)), -(equal_lines(_60458, _60456))], (290 ^ _51166) ^ [_60700, _60702] : [parallel_lines(_60702, _60700), convergent_lines(_60702, _60700)], (296 ^ _51166) ^ [_60863, _60865] : [-(convergent_lines(_60865, _60863)), -(parallel_lines(_60865, _60863))], (302 ^ _51166) ^ [_61107, _61109] : [incident_point_and_line(_61109, _61107), apart_point_and_line(_61109, _61107)], (308 ^ _51166) ^ [_61270, _61272] : [-(apart_point_and_line(_61272, _61270)), -(incident_point_and_line(_61272, _61270))], (314 ^ _51166) ^ [_61494, _61496] : [orthogonal_lines(_61496, _61494), unorthogonal_lines(_61496, _61494)], (320 ^ _51166) ^ [_61657, _61659] : [-(unorthogonal_lines(_61659, _61657)), -(orthogonal_lines(_61659, _61657))]], input).
% 0.45/1.39  ncf('1',plain,[parallel_lines(327 ^ [], 326 ^ []), convergent_lines(327 ^ [], 326 ^ [])],start(290 ^ 0,bind([[_60700, _60702], [326 ^ [], 327 ^ []]]))).
% 0.45/1.39  ncf('1.1',plain,[-(parallel_lines(327 ^ [], 326 ^ []))],extension(336 ^ 1)).
% 0.45/1.39  ncf('1.2',plain,[-(convergent_lines(327 ^ [], 326 ^ [])), convergent_lines(327 ^ [], 328 ^ []), -(convergent_lines(328 ^ [], 326 ^ []))],extension(28 ^ 1,bind([[_52192, _52194, _52196], [326 ^ [], 328 ^ [], 327 ^ []]]))).
% 0.45/1.39  ncf('1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ [])), distinct_lines(327 ^ [], 328 ^ [])],extension(114 ^ 2,bind([[_54991, _54993], [328 ^ [], 327 ^ []]]))).
% 0.45/1.39  ncf('1.2.1.1',plain,[-(distinct_lines(327 ^ [], 328 ^ [])), -(equal_lines(327 ^ [], 328 ^ []))],extension(284 ^ 3,bind([[_60456, _60458], [328 ^ [], 327 ^ []]]))).
% 0.45/1.39  ncf('1.2.1.1.1',plain,[equal_lines(327 ^ [], 328 ^ [])],extension(340 ^ 4)).
% 0.45/1.39  ncf('1.2.2',plain,[convergent_lines(328 ^ [], 326 ^ []), parallel_lines(328 ^ [], 326 ^ [])],extension(290 ^ 2,bind([[_60700, _60702], [326 ^ [], 328 ^ []]]))).
% 0.45/1.39  ncf('1.2.2.1',plain,[-(parallel_lines(328 ^ [], 326 ^ []))],extension(338 ^ 3)).
% 0.45/1.39  %-----------------------------------------------------
% 0.45/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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