%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:12:03 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 04:37:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(329 ^ _50811) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _50811) ^ [] : [-(incident_point_and_line(325 ^ [], 327 ^ []))], (333 ^ _50811) ^ [] : [-(incident_point_and_line(326 ^ [], 327 ^ []))], (335 ^ _50811) ^ [] : [equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))], (2 ^ _50811) ^ [_50914] : [distinct_points(_50914, _50914)], (4 ^ _50811) ^ [_50991] : [distinct_lines(_50991, _50991)], (6 ^ _50811) ^ [_51068] : [convergent_lines(_51068, _51068)], (8 ^ _50811) ^ [_51189, _51191, _51193] : [distinct_points(_51193, _51191), -(distinct_points(_51193, _51189)), -(distinct_points(_51191, _51189))], (18 ^ _50811) ^ [_51513, _51515, _51517] : [distinct_lines(_51517, _51515), -(distinct_lines(_51517, _51513)), -(distinct_lines(_51515, _51513))], (28 ^ _50811) ^ [_51837, _51839, _51841] : [convergent_lines(_51841, _51839), -(convergent_lines(_51841, _51837)), -(convergent_lines(_51839, _51837))], (38 ^ _50811) ^ [_52147, _52149] : [distinct_points(_52149, _52147), apart_point_and_line(_52149, line_connecting(_52149, _52147))], (44 ^ _50811) ^ [_52364, _52366] : [distinct_points(_52366, _52364), apart_point_and_line(_52364, line_connecting(_52366, _52364))], (50 ^ _50811) ^ [_52581, _52583] : [convergent_lines(_52583, _52581), apart_point_and_line(intersection_point(_52583, _52581), _52583)], (56 ^ _50811) ^ [_52798, _52800] : [convergent_lines(_52800, _52798), apart_point_and_line(intersection_point(_52800, _52798), _52798)], (62 ^ _50811) ^ [_53043, _53045, _53047, _53049] : [distinct_points(_53049, _53047), distinct_lines(_53045, _53043), -(apart_point_and_line(_53049, _53045)), -(apart_point_and_line(_53049, _53043)), -(apart_point_and_line(_53047, _53045)), -(apart_point_and_line(_53047, _53043))], (84 ^ _50811) ^ [_53672, _53674, _53676] : [apart_point_and_line(_53676, _53674), -(distinct_points(_53676, _53672)), -(apart_point_and_line(_53672, _53674))], (94 ^ _50811) ^ [_53996, _53998, _54000] : [apart_point_and_line(_54000, _53998), -(distinct_lines(_53998, _53996)), -(apart_point_and_line(_54000, _53996))], (104 ^ _50811) ^ [_54300, _54302, _54304] : [convergent_lines(_54304, _54302), -(distinct_lines(_54302, _54300)), -(convergent_lines(_54304, _54300))], (114 ^ _50811) ^ [_54636, _54638] : [distinct_lines(_54638, _54636), -(convergent_lines(_54638, _54636))], (120 ^ _50811) ^ [_54850, _54852] : [convergent_lines(parallel_through_point(_54850, _54852), _54850)], (122 ^ _50811) ^ [_54946, _54948] : [apart_point_and_line(_54948, parallel_through_point(_54946, _54948))], (124 ^ _50811) ^ [_55052, _55054, _55056] : [distinct_lines(_55054, _55052), -(apart_point_and_line(_55056, _55054)), -(apart_point_and_line(_55056, _55052)), -(convergent_lines(_55054, _55052))], (138 ^ _50811) ^ [_55480, _55482] : [-(convergent_lines(_55482, _55480)), -(unorthogonal_lines(_55482, _55480))], (144 ^ _50811) ^ [_55705, _55707, _55709] : [convergent_lines(_55709, _55707), unorthogonal_lines(_55709, _55707), 153 ^ _50811 : [(154 ^ _50811) ^ [] : [-(convergent_lines(_55709, _55705))], (156 ^ _50811) ^ [] : [-(unorthogonal_lines(_55709, _55705))]], 157 ^ _50811 : [(158 ^ _50811) ^ [] : [-(convergent_lines(_55707, _55705))], (160 ^ _50811) ^ [] : [-(unorthogonal_lines(_55707, _55705))]]], (162 ^ _50811) ^ [_56248, _56250] : [unorthogonal_lines(orthogonal_through_point(_56248, _56250), _56248)], (164 ^ _50811) ^ [_56344, _56346] : [apart_point_and_line(_56346, orthogonal_through_point(_56344, _56346))], (166 ^ _50811) ^ [_56464, _56466, _56468, _56470] : [distinct_lines(_56468, _56466), -(apart_point_and_line(_56470, _56468)), -(apart_point_and_line(_56470, _56466)), -(unorthogonal_lines(_56468, _56464)), -(unorthogonal_lines(_56466, _56464))], (184 ^ _50811) ^ [_57008, _57010] : [-(convergent_lines(_57010, _57008)), -(unorthogonal_lines(_57010, _57008))], (208 ^ _50811) ^ [_57802, _57804, _57806] : [convergent_lines(_57804, _57802), -(unorthogonal_lines(_57806, _57804)), -(unorthogonal_lines(_57806, _57802))], (190 ^ _50811) ^ [_57237, _57239, _57241] : [193 ^ _50811 : [(194 ^ _50811) ^ [] : [-(convergent_lines(_57241, _57239))], (196 ^ _50811) ^ [] : [-(unorthogonal_lines(_57241, _57239))]], 197 ^ _50811 : [(198 ^ _50811) ^ [] : [-(convergent_lines(_57241, _57237))], (200 ^ _50811) ^ [] : [-(unorthogonal_lines(_57241, _57237))]], convergent_lines(_57239, _57237), unorthogonal_lines(_57239, _57237)], (218 ^ _50811) ^ [_58142, _58144] : [-(line(line_connecting(_58144, _58142))), point(_58144), point(_58142), distinct_points(_58144, _58142)], (232 ^ _50811) ^ [_58530, _58532] : [-(point(intersection_point(_58532, _58530))), line(_58532), line(_58530), convergent_lines(_58532, _58530)], (246 ^ _50811) ^ [_58918, _58920] : [-(line(parallel_through_point(_58920, _58918))), line(_58920), point(_58918)], (256 ^ _50811) ^ [_59197, _59199] : [-(line(orthogonal_through_point(_59199, _59197))), line(_59199), point(_59197)], (266 ^ _50811) ^ [_59531, _59533] : [equal_points(_59533, _59531), distinct_points(_59533, _59531)], (272 ^ _50811) ^ [_59694, _59696] : [-(distinct_points(_59696, _59694)), -(equal_points(_59696, _59694))], (278 ^ _50811) ^ [_59938, _59940] : [equal_lines(_59940, _59938), distinct_lines(_59940, _59938)], (284 ^ _50811) ^ [_60101, _60103] : [-(distinct_lines(_60103, _60101)), -(equal_lines(_60103, _60101))], (290 ^ _50811) ^ [_60345, _60347] : [parallel_lines(_60347, _60345), convergent_lines(_60347, _60345)], (296 ^ _50811) ^ [_60508, _60510] : [-(convergent_lines(_60510, _60508)), -(parallel_lines(_60510, _60508))], (302 ^ _50811) ^ [_60752, _60754] : [incident_point_and_line(_60754, _60752), apart_point_and_line(_60754, _60752)], (308 ^ _50811) ^ [_60915, _60917] : [-(apart_point_and_line(_60917, _60915)), -(incident_point_and_line(_60917, _60915))], (314 ^ _50811) ^ [_61139, _61141] : [orthogonal_lines(_61141, _61139), unorthogonal_lines(_61141, _61139)], (320 ^ _50811) ^ [_61302, _61304] : [-(unorthogonal_lines(_61304, _61302)), -(orthogonal_lines(_61304, _61302))]], input).
% 0.35/1.37  ncf('1',plain,[distinct_points(325 ^ [], 326 ^ []), apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(38 ^ 0,bind([[_52147, _52149], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 1)).
% 0.35/1.37  ncf('1.2',plain,[-(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), distinct_points(325 ^ [], 326 ^ []), distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 1,bind([[_53043, _53045, _53047, _53049], [line_connecting(325 ^ [], 326 ^ []), 327 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 2)).
% 0.35/1.37  ncf('1.2.2',plain,[-(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(284 ^ 2,bind([[_60101, _60103], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.35/1.37  ncf('1.2.2.1',plain,[equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],extension(335 ^ 3)).
% 0.35/1.37  ncf('1.2.3',plain,[apart_point_and_line(325 ^ [], 327 ^ []), incident_point_and_line(325 ^ [], 327 ^ [])],extension(302 ^ 2,bind([[_60752, _60754], [327 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.3.1',plain,[-(incident_point_and_line(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.35/1.37  ncf('1.2.4',plain,[apart_point_and_line(326 ^ [], 327 ^ []), incident_point_and_line(326 ^ [], 327 ^ [])],extension(302 ^ 2,bind([[_60752, _60754], [327 ^ [], 326 ^ []]]))).
% 0.35/1.37  ncf('1.2.4.1',plain,[-(incident_point_and_line(326 ^ [], 327 ^ []))],extension(333 ^ 3)).
% 0.35/1.37  ncf('1.2.5',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_52364, _52366], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------