%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 03:59:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.38/1.40  
% 0.38/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  ncf(matrix, plain, [(329 ^ _51499) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _51499) ^ [] : [-(incident_point_and_line(327 ^ [], 325 ^ []))], (333 ^ _51499) ^ [] : [-(incident_point_and_line(327 ^ [], 326 ^ []))], (335 ^ _51499) ^ [] : [equal_points(327 ^ [], intersection_point(325 ^ [], 326 ^ []))], (2 ^ _51499) ^ [_51602] : [distinct_points(_51602, _51602)], (4 ^ _51499) ^ [_51679] : [distinct_lines(_51679, _51679)], (6 ^ _51499) ^ [_51756] : [convergent_lines(_51756, _51756)], (8 ^ _51499) ^ [_51877, _51879, _51881] : [distinct_points(_51881, _51879), -(distinct_points(_51881, _51877)), -(distinct_points(_51879, _51877))], (18 ^ _51499) ^ [_52201, _52203, _52205] : [distinct_lines(_52205, _52203), -(distinct_lines(_52205, _52201)), -(distinct_lines(_52203, _52201))], (28 ^ _51499) ^ [_52525, _52527, _52529] : [convergent_lines(_52529, _52527), -(convergent_lines(_52529, _52525)), -(convergent_lines(_52527, _52525))], (38 ^ _51499) ^ [_52835, _52837] : [distinct_points(_52837, _52835), apart_point_and_line(_52837, line_connecting(_52837, _52835))], (44 ^ _51499) ^ [_53052, _53054] : [distinct_points(_53054, _53052), apart_point_and_line(_53052, line_connecting(_53054, _53052))], (50 ^ _51499) ^ [_53269, _53271] : [convergent_lines(_53271, _53269), apart_point_and_line(intersection_point(_53271, _53269), _53271)], (56 ^ _51499) ^ [_53486, _53488] : [convergent_lines(_53488, _53486), apart_point_and_line(intersection_point(_53488, _53486), _53486)], (62 ^ _51499) ^ [_53731, _53733, _53735, _53737] : [distinct_points(_53737, _53735), distinct_lines(_53733, _53731), -(apart_point_and_line(_53737, _53733)), -(apart_point_and_line(_53737, _53731)), -(apart_point_and_line(_53735, _53733)), -(apart_point_and_line(_53735, _53731))], (84 ^ _51499) ^ [_54360, _54362, _54364] : [apart_point_and_line(_54364, _54362), -(distinct_points(_54364, _54360)), -(apart_point_and_line(_54360, _54362))], (94 ^ _51499) ^ [_54684, _54686, _54688] : [apart_point_and_line(_54688, _54686), -(distinct_lines(_54686, _54684)), -(apart_point_and_line(_54688, _54684))], (104 ^ _51499) ^ [_54988, _54990, _54992] : [convergent_lines(_54992, _54990), -(distinct_lines(_54990, _54988)), -(convergent_lines(_54992, _54988))], (114 ^ _51499) ^ [_55324, _55326] : [distinct_lines(_55326, _55324), -(convergent_lines(_55326, _55324))], (120 ^ _51499) ^ [_55538, _55540] : [convergent_lines(parallel_through_point(_55538, _55540), _55538)], (122 ^ _51499) ^ [_55634, _55636] : [apart_point_and_line(_55636, parallel_through_point(_55634, _55636))], (124 ^ _51499) ^ [_55740, _55742, _55744] : [distinct_lines(_55742, _55740), -(apart_point_and_line(_55744, _55742)), -(apart_point_and_line(_55744, _55740)), -(convergent_lines(_55742, _55740))], (138 ^ _51499) ^ [_56168, _56170] : [-(convergent_lines(_56170, _56168)), -(unorthogonal_lines(_56170, _56168))], (144 ^ _51499) ^ [_56393, _56395, _56397] : [convergent_lines(_56397, _56395), unorthogonal_lines(_56397, _56395), 153 ^ _51499 : [(154 ^ _51499) ^ [] : [-(convergent_lines(_56397, _56393))], (156 ^ _51499) ^ [] : [-(unorthogonal_lines(_56397, _56393))]], 157 ^ _51499 : [(158 ^ _51499) ^ [] : [-(convergent_lines(_56395, _56393))], (160 ^ _51499) ^ [] : [-(unorthogonal_lines(_56395, _56393))]]], (162 ^ _51499) ^ [_56936, _56938] : [unorthogonal_lines(orthogonal_through_point(_56936, _56938), _56936)], (164 ^ _51499) ^ [_57032, _57034] : [apart_point_and_line(_57034, orthogonal_through_point(_57032, _57034))], (166 ^ _51499) ^ [_57152, _57154, _57156, _57158] : [distinct_lines(_57156, _57154), -(apart_point_and_line(_57158, _57156)), -(apart_point_and_line(_57158, _57154)), -(unorthogonal_lines(_57156, _57152)), -(unorthogonal_lines(_57154, _57152))], (184 ^ _51499) ^ [_57696, _57698] : [-(convergent_lines(_57698, _57696)), -(unorthogonal_lines(_57698, _57696))], (208 ^ _51499) ^ [_58490, _58492, _58494] : [convergent_lines(_58492, _58490), -(unorthogonal_lines(_58494, _58492)), -(unorthogonal_lines(_58494, _58490))], (190 ^ _51499) ^ [_57925, _57927, _57929] : [193 ^ _51499 : [(194 ^ _51499) ^ [] : [-(convergent_lines(_57929, _57927))], (196 ^ _51499) ^ [] : [-(unorthogonal_lines(_57929, _57927))]], 197 ^ _51499 : [(198 ^ _51499) ^ [] : [-(convergent_lines(_57929, _57925))], (200 ^ _51499) ^ [] : [-(unorthogonal_lines(_57929, _57925))]], convergent_lines(_57927, _57925), unorthogonal_lines(_57927, _57925)], (218 ^ _51499) ^ [_58830, _58832] : [-(line(line_connecting(_58832, _58830))), point(_58832), point(_58830), distinct_points(_58832, _58830)], (232 ^ _51499) ^ [_59218, _59220] : [-(point(intersection_point(_59220, _59218))), line(_59220), line(_59218), convergent_lines(_59220, _59218)], (246 ^ _51499) ^ [_59606, _59608] : [-(line(parallel_through_point(_59608, _59606))), line(_59608), point(_59606)], (256 ^ _51499) ^ [_59885, _59887] : [-(line(orthogonal_through_point(_59887, _59885))), line(_59887), point(_59885)], (266 ^ _51499) ^ [_60219, _60221] : [equal_points(_60221, _60219), distinct_points(_60221, _60219)], (272 ^ _51499) ^ [_60382, _60384] : [-(distinct_points(_60384, _60382)), -(equal_points(_60384, _60382))], (278 ^ _51499) ^ [_60626, _60628] : [equal_lines(_60628, _60626), distinct_lines(_60628, _60626)], (284 ^ _51499) ^ [_60789, _60791] : [-(distinct_lines(_60791, _60789)), -(equal_lines(_60791, _60789))], (290 ^ _51499) ^ [_61033, _61035] : [parallel_lines(_61035, _61033), convergent_lines(_61035, _61033)], (296 ^ _51499) ^ [_61196, _61198] : [-(convergent_lines(_61198, _61196)), -(parallel_lines(_61198, _61196))], (302 ^ _51499) ^ [_61440, _61442] : [incident_point_and_line(_61442, _61440), apart_point_and_line(_61442, _61440)], (308 ^ _51499) ^ [_61603, _61605] : [-(apart_point_and_line(_61605, _61603)), -(incident_point_and_line(_61605, _61603))], (314 ^ _51499) ^ [_61827, _61829] : [orthogonal_lines(_61829, _61827), unorthogonal_lines(_61829, _61827)], (320 ^ _51499) ^ [_61990, _61992] : [-(unorthogonal_lines(_61992, _61990)), -(orthogonal_lines(_61992, _61990))]], input).
% 0.38/1.40  ncf('1',plain,[distinct_lines(326 ^ [], 326 ^ [])],start(4 ^ 0,bind([[_51679], [326 ^ []]]))).
% 0.38/1.40  ncf('1.1',plain,[-(distinct_lines(326 ^ [], 326 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(distinct_lines(325 ^ [], 326 ^ []))],extension(18 ^ 1,bind([[_52201, _52203, _52205], [326 ^ [], 325 ^ [], 326 ^ []]]))).
% 0.38/1.40  ncf('1.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 2,bind([[_54988, _54990, _54992], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.38/1.40  ncf('1.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.38/1.40  ncf('1.1.1.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 3,bind([[_51756], [325 ^ []]]))).
% 0.38/1.40  ncf('1.1.2',plain,[distinct_lines(325 ^ [], 326 ^ []), distinct_points(327 ^ [], intersection_point(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], 325 ^ [])), -(apart_point_and_line(327 ^ [], 326 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []))],extension(62 ^ 2,bind([[_53731, _53733, _53735, _53737], [326 ^ [], 325 ^ [], intersection_point(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.1',plain,[-(distinct_points(327 ^ [], intersection_point(325 ^ [], 326 ^ []))), -(equal_points(327 ^ [], intersection_point(325 ^ [], 326 ^ [])))],extension(272 ^ 3,bind([[_60382, _60384], [intersection_point(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.1.1',plain,[equal_points(327 ^ [], intersection_point(325 ^ [], 326 ^ []))],extension(335 ^ 4)).
% 0.38/1.40  ncf('1.1.2.2',plain,[apart_point_and_line(327 ^ [], 325 ^ []), incident_point_and_line(327 ^ [], 325 ^ [])],extension(302 ^ 3,bind([[_61440, _61442], [325 ^ [], 327 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.2.1',plain,[-(incident_point_and_line(327 ^ [], 325 ^ []))],extension(331 ^ 4)).
% 0.38/1.40  ncf('1.1.2.3',plain,[apart_point_and_line(327 ^ [], 326 ^ []), incident_point_and_line(327 ^ [], 326 ^ [])],extension(302 ^ 3,bind([[_61440, _61442], [326 ^ [], 327 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.3.1',plain,[-(incident_point_and_line(327 ^ [], 326 ^ []))],extension(333 ^ 4)).
% 0.38/1.40  ncf('1.1.2.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 3,bind([[_53269, _53271], [326 ^ [], 325 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.4.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.38/1.40  ncf('1.1.2.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 3,bind([[_53486, _53488], [326 ^ [], 325 ^ []]]))).
% 0.38/1.40  ncf('1.1.2.5.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------