%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:12:07 EDT 2023

% Result   : Theorem 38.54s 37.54s
% Output   : Proof 38.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n001.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 05:06:50 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 38.54/37.54  
% 38.54/37.54  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 38.54/37.54  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.54/37.54  %-----------------------------------------------------
% 38.54/37.54  ncf(matrix, plain, [(330 ^ _51420) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _51420) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _51420) ^ [] : [-(equal_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])))], (336 ^ _51420) ^ [] : [incident_point_and_line(325 ^ [], 327 ^ []), incident_point_and_line(325 ^ [], 328 ^ [])], (2 ^ _51420) ^ [_51523] : [distinct_points(_51523, _51523)], (4 ^ _51420) ^ [_51600] : [distinct_lines(_51600, _51600)], (6 ^ _51420) ^ [_51677] : [convergent_lines(_51677, _51677)], (8 ^ _51420) ^ [_51798, _51800, _51802] : [distinct_points(_51802, _51800), -(distinct_points(_51802, _51798)), -(distinct_points(_51800, _51798))], (18 ^ _51420) ^ [_52122, _52124, _52126] : [distinct_lines(_52126, _52124), -(distinct_lines(_52126, _52122)), -(distinct_lines(_52124, _52122))], (28 ^ _51420) ^ [_52446, _52448, _52450] : [convergent_lines(_52450, _52448), -(convergent_lines(_52450, _52446)), -(convergent_lines(_52448, _52446))], (38 ^ _51420) ^ [_52756, _52758] : [distinct_points(_52758, _52756), apart_point_and_line(_52758, line_connecting(_52758, _52756))], (44 ^ _51420) ^ [_52973, _52975] : [distinct_points(_52975, _52973), apart_point_and_line(_52973, line_connecting(_52975, _52973))], (50 ^ _51420) ^ [_53190, _53192] : [convergent_lines(_53192, _53190), apart_point_and_line(intersection_point(_53192, _53190), _53192)], (56 ^ _51420) ^ [_53407, _53409] : [convergent_lines(_53409, _53407), apart_point_and_line(intersection_point(_53409, _53407), _53407)], (62 ^ _51420) ^ [_53652, _53654, _53656, _53658] : [distinct_points(_53658, _53656), distinct_lines(_53654, _53652), -(apart_point_and_line(_53658, _53654)), -(apart_point_and_line(_53658, _53652)), -(apart_point_and_line(_53656, _53654)), -(apart_point_and_line(_53656, _53652))], (84 ^ _51420) ^ [_54281, _54283, _54285] : [apart_point_and_line(_54285, _54283), -(distinct_points(_54285, _54281)), -(apart_point_and_line(_54281, _54283))], (94 ^ _51420) ^ [_54605, _54607, _54609] : [apart_point_and_line(_54609, _54607), -(distinct_lines(_54607, _54605)), -(apart_point_and_line(_54609, _54605))], (104 ^ _51420) ^ [_54909, _54911, _54913] : [convergent_lines(_54913, _54911), -(distinct_lines(_54911, _54909)), -(convergent_lines(_54913, _54909))], (114 ^ _51420) ^ [_55245, _55247] : [distinct_lines(_55247, _55245), -(convergent_lines(_55247, _55245))], (120 ^ _51420) ^ [_55459, _55461] : [convergent_lines(parallel_through_point(_55459, _55461), _55459)], (122 ^ _51420) ^ [_55555, _55557] : [apart_point_and_line(_55557, parallel_through_point(_55555, _55557))], (124 ^ _51420) ^ [_55661, _55663, _55665] : [distinct_lines(_55663, _55661), -(apart_point_and_line(_55665, _55663)), -(apart_point_and_line(_55665, _55661)), -(convergent_lines(_55663, _55661))], (138 ^ _51420) ^ [_56089, _56091] : [-(convergent_lines(_56091, _56089)), -(unorthogonal_lines(_56091, _56089))], (144 ^ _51420) ^ [_56314, _56316, _56318] : [convergent_lines(_56318, _56316), unorthogonal_lines(_56318, _56316), 153 ^ _51420 : [(154 ^ _51420) ^ [] : [-(convergent_lines(_56318, _56314))], (156 ^ _51420) ^ [] : [-(unorthogonal_lines(_56318, _56314))]], 157 ^ _51420 : [(158 ^ _51420) ^ [] : [-(convergent_lines(_56316, _56314))], (160 ^ _51420) ^ [] : [-(unorthogonal_lines(_56316, _56314))]]], (162 ^ _51420) ^ [_56857, _56859] : [unorthogonal_lines(orthogonal_through_point(_56857, _56859), _56857)], (164 ^ _51420) ^ [_56953, _56955] : [apart_point_and_line(_56955, orthogonal_through_point(_56953, _56955))], (166 ^ _51420) ^ [_57073, _57075, _57077, _57079] : [distinct_lines(_57077, _57075), -(apart_point_and_line(_57079, _57077)), -(apart_point_and_line(_57079, _57075)), -(unorthogonal_lines(_57077, _57073)), -(unorthogonal_lines(_57075, _57073))], (184 ^ _51420) ^ [_57617, _57619] : [-(convergent_lines(_57619, _57617)), -(unorthogonal_lines(_57619, _57617))], (208 ^ _51420) ^ [_58411, _58413, _58415] : [convergent_lines(_58413, _58411), -(unorthogonal_lines(_58415, _58413)), -(unorthogonal_lines(_58415, _58411))], (190 ^ _51420) ^ [_57846, _57848, _57850] : [193 ^ _51420 : [(194 ^ _51420) ^ [] : [-(convergent_lines(_57850, _57848))], (196 ^ _51420) ^ [] : [-(unorthogonal_lines(_57850, _57848))]], 197 ^ _51420 : [(198 ^ _51420) ^ [] : [-(convergent_lines(_57850, _57846))], (200 ^ _51420) ^ [] : [-(unorthogonal_lines(_57850, _57846))]], convergent_lines(_57848, _57846), unorthogonal_lines(_57848, _57846)], (218 ^ _51420) ^ [_58751, _58753] : [-(line(line_connecting(_58753, _58751))), point(_58753), point(_58751), distinct_points(_58753, _58751)], (232 ^ _51420) ^ [_59139, _59141] : [-(point(intersection_point(_59141, _59139))), line(_59141), line(_59139), convergent_lines(_59141, _59139)], (246 ^ _51420) ^ [_59527, _59529] : [-(line(parallel_through_point(_59529, _59527))), line(_59529), point(_59527)], (256 ^ _51420) ^ [_59806, _59808] : [-(line(orthogonal_through_point(_59808, _59806))), line(_59808), point(_59806)], (266 ^ _51420) ^ [_60140, _60142] : [equal_points(_60142, _60140), distinct_points(_60142, _60140)], (272 ^ _51420) ^ [_60303, _60305] : [-(distinct_points(_60305, _60303)), -(equal_points(_60305, _60303))], (278 ^ _51420) ^ [_60547, _60549] : [equal_lines(_60549, _60547), distinct_lines(_60549, _60547)], (284 ^ _51420) ^ [_60710, _60712] : [-(distinct_lines(_60712, _60710)), -(equal_lines(_60712, _60710))], (290 ^ _51420) ^ [_60954, _60956] : [parallel_lines(_60956, _60954), convergent_lines(_60956, _60954)], (296 ^ _51420) ^ [_61117, _61119] : [-(convergent_lines(_61119, _61117)), -(parallel_lines(_61119, _61117))], (302 ^ _51420) ^ [_61361, _61363] : [incident_point_and_line(_61363, _61361), apart_point_and_line(_61363, _61361)], (308 ^ _51420) ^ [_61524, _61526] : [-(apart_point_and_line(_61526, _61524)), -(incident_point_and_line(_61526, _61524))], (314 ^ _51420) ^ [_61748, _61750] : [orthogonal_lines(_61750, _61748), unorthogonal_lines(_61750, _61748)], (320 ^ _51420) ^ [_61911, _61913] : [-(unorthogonal_lines(_61913, _61911)), -(orthogonal_lines(_61913, _61911))]], input).
% 38.54/37.54  ncf('1',plain,[equal_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])), distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))],start(266 ^ 0,bind([[_60140, _60142], [intersection_point(327 ^ [], 328 ^ []), 325 ^ []]]))).
% 38.54/37.54  ncf('1.1',plain,[-(equal_points(325 ^ [], intersection_point(327 ^ [], 328 ^ [])))],extension(334 ^ 1)).
% 38.54/37.54  ncf('1.2',plain,[-(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))), apart_point_and_line(325 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []))],extension(84 ^ 1,bind([[_54281, _54283, _54285], [intersection_point(327 ^ [], 328 ^ []), 327 ^ [], 325 ^ []]]))).
% 38.54/37.54  ncf('1.2.1',plain,[-(apart_point_and_line(325 ^ [], 327 ^ [])), -(incident_point_and_line(325 ^ [], 327 ^ []))],extension(308 ^ 2,bind([[_61524, _61526], [327 ^ [], 325 ^ []]]))).
% 38.54/37.54  ncf('1.2.1.1',plain,[incident_point_and_line(325 ^ [], 327 ^ []), incident_point_and_line(325 ^ [], 328 ^ [])],extension(336 ^ 3)).
% 38.54/37.54  ncf('1.2.1.1.1',plain,[-(incident_point_and_line(325 ^ [], 328 ^ [])), -(apart_point_and_line(325 ^ [], 328 ^ []))],extension(308 ^ 4,bind([[_61524, _61526], [328 ^ [], 325 ^ []]]))).
% 38.54/37.54  ncf('1.2.1.1.1.1',plain,[apart_point_and_line(325 ^ [], 328 ^ []), -(distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []))],extension(84 ^ 5,bind([[_54281, _54283, _54285], [intersection_point(327 ^ [], 328 ^ []), 328 ^ [], 325 ^ []]]))).
% 38.54/37.54  ncf('1.2.1.1.1.1.1',plain,[distinct_points(325 ^ [], intersection_point(327 ^ [], 328 ^ []))],reduction('1')).
% 38.54/37.54  ncf('1.2.1.1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 6,bind([[_53407, _53409], [328 ^ [], 327 ^ []]]))).
% 38.54/37.54  ncf('1.2.1.1.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 7)).
% 38.54/37.54  ncf('1.2.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(50 ^ 2,bind([[_53190, _53192], [328 ^ [], 327 ^ []]]))).
% 38.54/37.54  ncf('1.2.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 3)).
% 38.54/37.54  %-----------------------------------------------------
% 38.54/37.54  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------