%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 11:12:16 EDT 2023

% Result   : Theorem 1.01s 1.38s
% Output   : Proof 1.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 04:17:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 1.01/1.38  
% 1.01/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.01/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.38  %-----------------------------------------------------
% 1.01/1.38  ncf(matrix, plain, [(329 ^ _51213) ^ [] : [-(parallel_lines(325 ^ [], 326 ^ []))], (331 ^ _51213) ^ [] : [-(orthogonal_lines(325 ^ [], 327 ^ []))], (333 ^ _51213) ^ [] : [orthogonal_lines(326 ^ [], 327 ^ [])], (2 ^ _51213) ^ [_51316] : [distinct_points(_51316, _51316)], (4 ^ _51213) ^ [_51393] : [distinct_lines(_51393, _51393)], (6 ^ _51213) ^ [_51470] : [convergent_lines(_51470, _51470)], (8 ^ _51213) ^ [_51591, _51593, _51595] : [distinct_points(_51595, _51593), -(distinct_points(_51595, _51591)), -(distinct_points(_51593, _51591))], (18 ^ _51213) ^ [_51915, _51917, _51919] : [distinct_lines(_51919, _51917), -(distinct_lines(_51919, _51915)), -(distinct_lines(_51917, _51915))], (28 ^ _51213) ^ [_52239, _52241, _52243] : [convergent_lines(_52243, _52241), -(convergent_lines(_52243, _52239)), -(convergent_lines(_52241, _52239))], (38 ^ _51213) ^ [_52549, _52551] : [distinct_points(_52551, _52549), apart_point_and_line(_52551, line_connecting(_52551, _52549))], (44 ^ _51213) ^ [_52766, _52768] : [distinct_points(_52768, _52766), apart_point_and_line(_52766, line_connecting(_52768, _52766))], (50 ^ _51213) ^ [_52983, _52985] : [convergent_lines(_52985, _52983), apart_point_and_line(intersection_point(_52985, _52983), _52985)], (56 ^ _51213) ^ [_53200, _53202] : [convergent_lines(_53202, _53200), apart_point_and_line(intersection_point(_53202, _53200), _53200)], (62 ^ _51213) ^ [_53445, _53447, _53449, _53451] : [distinct_points(_53451, _53449), distinct_lines(_53447, _53445), -(apart_point_and_line(_53451, _53447)), -(apart_point_and_line(_53451, _53445)), -(apart_point_and_line(_53449, _53447)), -(apart_point_and_line(_53449, _53445))], (84 ^ _51213) ^ [_54074, _54076, _54078] : [apart_point_and_line(_54078, _54076), -(distinct_points(_54078, _54074)), -(apart_point_and_line(_54074, _54076))], (94 ^ _51213) ^ [_54398, _54400, _54402] : [apart_point_and_line(_54402, _54400), -(distinct_lines(_54400, _54398)), -(apart_point_and_line(_54402, _54398))], (104 ^ _51213) ^ [_54702, _54704, _54706] : [convergent_lines(_54706, _54704), -(distinct_lines(_54704, _54702)), -(convergent_lines(_54706, _54702))], (114 ^ _51213) ^ [_55038, _55040] : [distinct_lines(_55040, _55038), -(convergent_lines(_55040, _55038))], (120 ^ _51213) ^ [_55252, _55254] : [convergent_lines(parallel_through_point(_55252, _55254), _55252)], (122 ^ _51213) ^ [_55348, _55350] : [apart_point_and_line(_55350, parallel_through_point(_55348, _55350))], (124 ^ _51213) ^ [_55454, _55456, _55458] : [distinct_lines(_55456, _55454), -(apart_point_and_line(_55458, _55456)), -(apart_point_and_line(_55458, _55454)), -(convergent_lines(_55456, _55454))], (138 ^ _51213) ^ [_55882, _55884] : [-(convergent_lines(_55884, _55882)), -(unorthogonal_lines(_55884, _55882))], (144 ^ _51213) ^ [_56107, _56109, _56111] : [convergent_lines(_56111, _56109), unorthogonal_lines(_56111, _56109), 153 ^ _51213 : [(154 ^ _51213) ^ [] : [-(convergent_lines(_56111, _56107))], (156 ^ _51213) ^ [] : [-(unorthogonal_lines(_56111, _56107))]], 157 ^ _51213 : [(158 ^ _51213) ^ [] : [-(convergent_lines(_56109, _56107))], (160 ^ _51213) ^ [] : [-(unorthogonal_lines(_56109, _56107))]]], (162 ^ _51213) ^ [_56650, _56652] : [unorthogonal_lines(orthogonal_through_point(_56650, _56652), _56650)], (164 ^ _51213) ^ [_56746, _56748] : [apart_point_and_line(_56748, orthogonal_through_point(_56746, _56748))], (166 ^ _51213) ^ [_56866, _56868, _56870, _56872] : [distinct_lines(_56870, _56868), -(apart_point_and_line(_56872, _56870)), -(apart_point_and_line(_56872, _56868)), -(unorthogonal_lines(_56870, _56866)), -(unorthogonal_lines(_56868, _56866))], (184 ^ _51213) ^ [_57410, _57412] : [-(convergent_lines(_57412, _57410)), -(unorthogonal_lines(_57412, _57410))], (208 ^ _51213) ^ [_58204, _58206, _58208] : [convergent_lines(_58206, _58204), -(unorthogonal_lines(_58208, _58206)), -(unorthogonal_lines(_58208, _58204))], (190 ^ _51213) ^ [_57639, _57641, _57643] : [193 ^ _51213 : [(194 ^ _51213) ^ [] : [-(convergent_lines(_57643, _57641))], (196 ^ _51213) ^ [] : [-(unorthogonal_lines(_57643, _57641))]], 197 ^ _51213 : [(198 ^ _51213) ^ [] : [-(convergent_lines(_57643, _57639))], (200 ^ _51213) ^ [] : [-(unorthogonal_lines(_57643, _57639))]], convergent_lines(_57641, _57639), unorthogonal_lines(_57641, _57639)], (218 ^ _51213) ^ [_58544, _58546] : [-(line(line_connecting(_58546, _58544))), point(_58546), point(_58544), distinct_points(_58546, _58544)], (232 ^ _51213) ^ [_58932, _58934] : [-(point(intersection_point(_58934, _58932))), line(_58934), line(_58932), convergent_lines(_58934, _58932)], (246 ^ _51213) ^ [_59320, _59322] : [-(line(parallel_through_point(_59322, _59320))), line(_59322), point(_59320)], (256 ^ _51213) ^ [_59599, _59601] : [-(line(orthogonal_through_point(_59601, _59599))), line(_59601), point(_59599)], (266 ^ _51213) ^ [_59933, _59935] : [equal_points(_59935, _59933), distinct_points(_59935, _59933)], (272 ^ _51213) ^ [_60096, _60098] : [-(distinct_points(_60098, _60096)), -(equal_points(_60098, _60096))], (278 ^ _51213) ^ [_60340, _60342] : [equal_lines(_60342, _60340), distinct_lines(_60342, _60340)], (284 ^ _51213) ^ [_60503, _60505] : [-(distinct_lines(_60505, _60503)), -(equal_lines(_60505, _60503))], (290 ^ _51213) ^ [_60747, _60749] : [parallel_lines(_60749, _60747), convergent_lines(_60749, _60747)], (296 ^ _51213) ^ [_60910, _60912] : [-(convergent_lines(_60912, _60910)), -(parallel_lines(_60912, _60910))], (302 ^ _51213) ^ [_61154, _61156] : [incident_point_and_line(_61156, _61154), apart_point_and_line(_61156, _61154)], (308 ^ _51213) ^ [_61317, _61319] : [-(apart_point_and_line(_61319, _61317)), -(incident_point_and_line(_61319, _61317))], (314 ^ _51213) ^ [_61541, _61543] : [orthogonal_lines(_61543, _61541), unorthogonal_lines(_61543, _61541)], (320 ^ _51213) ^ [_61704, _61706] : [-(unorthogonal_lines(_61706, _61704)), -(orthogonal_lines(_61706, _61704))]], input).
% 1.01/1.38  ncf('1',plain,[parallel_lines(325 ^ [], 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],start(290 ^ 0,bind([[_60747, _60749], [326 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.1',plain,[-(parallel_lines(325 ^ [], 326 ^ []))],extension(329 ^ 1)).
% 1.01/1.38  ncf('1.2',plain,[-(convergent_lines(325 ^ [], 326 ^ [])), convergent_lines(325 ^ [], 327 ^ []), -(convergent_lines(327 ^ [], 326 ^ []))],extension(28 ^ 1,bind([[_52239, _52241, _52243], [326 ^ [], 327 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.1',plain,[-(convergent_lines(325 ^ [], 327 ^ [])), convergent_lines(325 ^ [], 327 ^ []), -(convergent_lines(327 ^ [], 327 ^ []))],extension(28 ^ 2,bind([[_52239, _52241, _52243], [327 ^ [], 327 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.1.1',plain,[-(convergent_lines(325 ^ [], 327 ^ [])), -(unorthogonal_lines(325 ^ [], 327 ^ []))],extension(138 ^ 3,bind([[_55882, _55884], [327 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.1.1.1',plain,[unorthogonal_lines(325 ^ [], 327 ^ []), orthogonal_lines(325 ^ [], 327 ^ [])],extension(314 ^ 4,bind([[_61541, _61543], [327 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.1.1.1.1',plain,[-(orthogonal_lines(325 ^ [], 327 ^ []))],extension(331 ^ 5)).
% 1.01/1.38  ncf('1.2.1.2',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 3,bind([[_51470], [327 ^ []]]))).
% 1.01/1.38  ncf('1.2.2',plain,[convergent_lines(327 ^ [], 326 ^ []), -(convergent_lines(327 ^ [], 327 ^ [])), -(convergent_lines(326 ^ [], 327 ^ []))],extension(28 ^ 2,bind([[_52239, _52241, _52243], [327 ^ [], 326 ^ [], 327 ^ []]]))).
% 1.01/1.38  ncf('1.2.2.1',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 3,bind([[_51470], [327 ^ []]]))).
% 1.01/1.38  ncf('1.2.2.2',plain,[convergent_lines(326 ^ [], 327 ^ []), 194 : -(convergent_lines(325 ^ [], 326 ^ [])), 200 : -(unorthogonal_lines(325 ^ [], 327 ^ [])), 200 : unorthogonal_lines(326 ^ [], 327 ^ [])],extension(190 ^ 3,bind([[_57639, _57641, _57643], [327 ^ [], 326 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.2.2.1',plain,[convergent_lines(325 ^ [], 326 ^ [])],reduction('1')).
% 1.01/1.38  ncf('1.2.2.2.2',plain,[unorthogonal_lines(325 ^ [], 327 ^ []), orthogonal_lines(325 ^ [], 327 ^ [])],extension(314 ^ 6,bind([[_61541, _61543], [327 ^ [], 325 ^ []]]))).
% 1.01/1.38  ncf('1.2.2.2.2.1',plain,[-(orthogonal_lines(325 ^ [], 327 ^ []))],extension(331 ^ 7)).
% 1.01/1.38  ncf('1.2.2.2.3',plain,[-(unorthogonal_lines(326 ^ [], 327 ^ [])), -(orthogonal_lines(326 ^ [], 327 ^ []))],extension(320 ^ 4,bind([[_61704, _61706], [327 ^ [], 326 ^ []]]))).
% 1.01/1.38  ncf('1.2.2.2.3.1',plain,[orthogonal_lines(326 ^ [], 327 ^ [])],extension(333 ^ 5)).
% 1.01/1.38  %-----------------------------------------------------
% 1.01/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------