TSTP Solution File: GEO206+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:12:12 EDT 2023

% Result   : Theorem 0.41s 1.39s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:31:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.41/1.39  
% 0.41/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.41/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.39  %-----------------------------------------------------
% 0.41/1.39  ncf(matrix, plain, [(329 ^ _49979) ^ [] : [-(incident_point_and_line(325 ^ [], 326 ^ []))], (331 ^ _49979) ^ [] : [-(parallel_lines(326 ^ [], 327 ^ []))], (333 ^ _49979) ^ [] : [equal_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ []))], (2 ^ _49979) ^ [_50082] : [distinct_points(_50082, _50082)], (4 ^ _49979) ^ [_50159] : [distinct_lines(_50159, _50159)], (6 ^ _49979) ^ [_50236] : [convergent_lines(_50236, _50236)], (8 ^ _49979) ^ [_50357, _50359, _50361] : [distinct_points(_50361, _50359), -(distinct_points(_50361, _50357)), -(distinct_points(_50359, _50357))], (18 ^ _49979) ^ [_50681, _50683, _50685] : [distinct_lines(_50685, _50683), -(distinct_lines(_50685, _50681)), -(distinct_lines(_50683, _50681))], (28 ^ _49979) ^ [_51005, _51007, _51009] : [convergent_lines(_51009, _51007), -(convergent_lines(_51009, _51005)), -(convergent_lines(_51007, _51005))], (38 ^ _49979) ^ [_51315, _51317] : [distinct_points(_51317, _51315), apart_point_and_line(_51317, line_connecting(_51317, _51315))], (44 ^ _49979) ^ [_51532, _51534] : [distinct_points(_51534, _51532), apart_point_and_line(_51532, line_connecting(_51534, _51532))], (50 ^ _49979) ^ [_51749, _51751] : [convergent_lines(_51751, _51749), apart_point_and_line(intersection_point(_51751, _51749), _51751)], (56 ^ _49979) ^ [_51966, _51968] : [convergent_lines(_51968, _51966), apart_point_and_line(intersection_point(_51968, _51966), _51966)], (62 ^ _49979) ^ [_52211, _52213, _52215, _52217] : [distinct_points(_52217, _52215), distinct_lines(_52213, _52211), -(apart_point_and_line(_52217, _52213)), -(apart_point_and_line(_52217, _52211)), -(apart_point_and_line(_52215, _52213)), -(apart_point_and_line(_52215, _52211))], (84 ^ _49979) ^ [_52840, _52842, _52844] : [apart_point_and_line(_52844, _52842), -(distinct_points(_52844, _52840)), -(apart_point_and_line(_52840, _52842))], (94 ^ _49979) ^ [_53164, _53166, _53168] : [apart_point_and_line(_53168, _53166), -(distinct_lines(_53166, _53164)), -(apart_point_and_line(_53168, _53164))], (104 ^ _49979) ^ [_53468, _53470, _53472] : [convergent_lines(_53472, _53470), -(distinct_lines(_53470, _53468)), -(convergent_lines(_53472, _53468))], (114 ^ _49979) ^ [_53804, _53806] : [distinct_lines(_53806, _53804), -(convergent_lines(_53806, _53804))], (120 ^ _49979) ^ [_54018, _54020] : [convergent_lines(parallel_through_point(_54018, _54020), _54018)], (122 ^ _49979) ^ [_54114, _54116] : [apart_point_and_line(_54116, parallel_through_point(_54114, _54116))], (124 ^ _49979) ^ [_54220, _54222, _54224] : [distinct_lines(_54222, _54220), -(apart_point_and_line(_54224, _54222)), -(apart_point_and_line(_54224, _54220)), -(convergent_lines(_54222, _54220))], (138 ^ _49979) ^ [_54648, _54650] : [-(convergent_lines(_54650, _54648)), -(unorthogonal_lines(_54650, _54648))], (144 ^ _49979) ^ [_54873, _54875, _54877] : [convergent_lines(_54877, _54875), unorthogonal_lines(_54877, _54875), 153 ^ _49979 : [(154 ^ _49979) ^ [] : [-(convergent_lines(_54877, _54873))], (156 ^ _49979) ^ [] : [-(unorthogonal_lines(_54877, _54873))]], 157 ^ _49979 : [(158 ^ _49979) ^ [] : [-(convergent_lines(_54875, _54873))], (160 ^ _49979) ^ [] : [-(unorthogonal_lines(_54875, _54873))]]], (162 ^ _49979) ^ [_55416, _55418] : [unorthogonal_lines(orthogonal_through_point(_55416, _55418), _55416)], (164 ^ _49979) ^ [_55512, _55514] : [apart_point_and_line(_55514, orthogonal_through_point(_55512, _55514))], (166 ^ _49979) ^ [_55632, _55634, _55636, _55638] : [distinct_lines(_55636, _55634), -(apart_point_and_line(_55638, _55636)), -(apart_point_and_line(_55638, _55634)), -(unorthogonal_lines(_55636, _55632)), -(unorthogonal_lines(_55634, _55632))], (184 ^ _49979) ^ [_56176, _56178] : [-(convergent_lines(_56178, _56176)), -(unorthogonal_lines(_56178, _56176))], (208 ^ _49979) ^ [_56970, _56972, _56974] : [convergent_lines(_56972, _56970), -(unorthogonal_lines(_56974, _56972)), -(unorthogonal_lines(_56974, _56970))], (190 ^ _49979) ^ [_56405, _56407, _56409] : [193 ^ _49979 : [(194 ^ _49979) ^ [] : [-(convergent_lines(_56409, _56407))], (196 ^ _49979) ^ [] : [-(unorthogonal_lines(_56409, _56407))]], 197 ^ _49979 : [(198 ^ _49979) ^ [] : [-(convergent_lines(_56409, _56405))], (200 ^ _49979) ^ [] : [-(unorthogonal_lines(_56409, _56405))]], convergent_lines(_56407, _56405), unorthogonal_lines(_56407, _56405)], (218 ^ _49979) ^ [_57310, _57312] : [-(line(line_connecting(_57312, _57310))), point(_57312), point(_57310), distinct_points(_57312, _57310)], (232 ^ _49979) ^ [_57698, _57700] : [-(point(intersection_point(_57700, _57698))), line(_57700), line(_57698), convergent_lines(_57700, _57698)], (246 ^ _49979) ^ [_58086, _58088] : [-(line(parallel_through_point(_58088, _58086))), line(_58088), point(_58086)], (256 ^ _49979) ^ [_58365, _58367] : [-(line(orthogonal_through_point(_58367, _58365))), line(_58367), point(_58365)], (266 ^ _49979) ^ [_58699, _58701] : [equal_points(_58701, _58699), distinct_points(_58701, _58699)], (272 ^ _49979) ^ [_58862, _58864] : [-(distinct_points(_58864, _58862)), -(equal_points(_58864, _58862))], (278 ^ _49979) ^ [_59106, _59108] : [equal_lines(_59108, _59106), distinct_lines(_59108, _59106)], (284 ^ _49979) ^ [_59269, _59271] : [-(distinct_lines(_59271, _59269)), -(equal_lines(_59271, _59269))], (290 ^ _49979) ^ [_59513, _59515] : [parallel_lines(_59515, _59513), convergent_lines(_59515, _59513)], (296 ^ _49979) ^ [_59676, _59678] : [-(convergent_lines(_59678, _59676)), -(parallel_lines(_59678, _59676))], (302 ^ _49979) ^ [_59920, _59922] : [incident_point_and_line(_59922, _59920), apart_point_and_line(_59922, _59920)], (308 ^ _49979) ^ [_60083, _60085] : [-(apart_point_and_line(_60085, _60083)), -(incident_point_and_line(_60085, _60083))], (314 ^ _49979) ^ [_60307, _60309] : [orthogonal_lines(_60309, _60307), unorthogonal_lines(_60309, _60307)], (320 ^ _49979) ^ [_60470, _60472] : [-(unorthogonal_lines(_60472, _60470)), -(orthogonal_lines(_60472, _60470))]], input).
% 0.41/1.39  ncf('1',plain,[convergent_lines(parallel_through_point(327 ^ [], 325 ^ []), 327 ^ [])],start(120 ^ 0,bind([[_54018, _54020], [327 ^ [], 325 ^ []]]))).
% 0.41/1.39  ncf('1.1',plain,[-(convergent_lines(parallel_through_point(327 ^ [], 325 ^ []), 327 ^ [])), convergent_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ [])), -(convergent_lines(326 ^ [], 327 ^ []))],extension(28 ^ 1,bind([[_51005, _51007, _51009], [327 ^ [], parallel_through_point(327 ^ [], 325 ^ []), 326 ^ []]]))).
% 0.41/1.39  ncf('1.1.1',plain,[-(convergent_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ []))), distinct_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ []))],extension(114 ^ 2,bind([[_53804, _53806], [parallel_through_point(327 ^ [], 325 ^ []), 326 ^ []]]))).
% 0.41/1.39  ncf('1.1.1.1',plain,[-(distinct_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ []))), -(equal_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ [])))],extension(284 ^ 3,bind([[_59269, _59271], [parallel_through_point(327 ^ [], 325 ^ []), 326 ^ []]]))).
% 0.41/1.39  ncf('1.1.1.1.1',plain,[equal_lines(326 ^ [], parallel_through_point(327 ^ [], 325 ^ []))],extension(333 ^ 4)).
% 0.41/1.39  ncf('1.1.2',plain,[convergent_lines(326 ^ [], 327 ^ []), parallel_lines(326 ^ [], 327 ^ [])],extension(290 ^ 2,bind([[_59513, _59515], [327 ^ [], 326 ^ []]]))).
% 0.41/1.39  ncf('1.1.2.1',plain,[-(parallel_lines(326 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.41/1.39  %-----------------------------------------------------
% 0.41/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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