%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 0.38s 1.39s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 03:25:01 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.38/1.39  
% 0.38/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  ncf(matrix, plain, [(329 ^ _51683) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _51683) ^ [] : [-(distinct_points(325 ^ [], 327 ^ []))], (333 ^ _51683) ^ [] : [-(convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])))], (335 ^ _51683) ^ [] : [equal_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ [])], (2 ^ _51683) ^ [_51786] : [distinct_points(_51786, _51786)], (4 ^ _51683) ^ [_51863] : [distinct_lines(_51863, _51863)], (6 ^ _51683) ^ [_51940] : [convergent_lines(_51940, _51940)], (8 ^ _51683) ^ [_52061, _52063, _52065] : [distinct_points(_52065, _52063), -(distinct_points(_52065, _52061)), -(distinct_points(_52063, _52061))], (18 ^ _51683) ^ [_52385, _52387, _52389] : [distinct_lines(_52389, _52387), -(distinct_lines(_52389, _52385)), -(distinct_lines(_52387, _52385))], (28 ^ _51683) ^ [_52709, _52711, _52713] : [convergent_lines(_52713, _52711), -(convergent_lines(_52713, _52709)), -(convergent_lines(_52711, _52709))], (38 ^ _51683) ^ [_53019, _53021] : [distinct_points(_53021, _53019), apart_point_and_line(_53021, line_connecting(_53021, _53019))], (44 ^ _51683) ^ [_53236, _53238] : [distinct_points(_53238, _53236), apart_point_and_line(_53236, line_connecting(_53238, _53236))], (50 ^ _51683) ^ [_53453, _53455] : [convergent_lines(_53455, _53453), apart_point_and_line(intersection_point(_53455, _53453), _53455)], (56 ^ _51683) ^ [_53670, _53672] : [convergent_lines(_53672, _53670), apart_point_and_line(intersection_point(_53672, _53670), _53670)], (62 ^ _51683) ^ [_53915, _53917, _53919, _53921] : [distinct_points(_53921, _53919), distinct_lines(_53917, _53915), -(apart_point_and_line(_53921, _53917)), -(apart_point_and_line(_53921, _53915)), -(apart_point_and_line(_53919, _53917)), -(apart_point_and_line(_53919, _53915))], (84 ^ _51683) ^ [_54544, _54546, _54548] : [apart_point_and_line(_54548, _54546), -(distinct_points(_54548, _54544)), -(apart_point_and_line(_54544, _54546))], (94 ^ _51683) ^ [_54868, _54870, _54872] : [apart_point_and_line(_54872, _54870), -(distinct_lines(_54870, _54868)), -(apart_point_and_line(_54872, _54868))], (104 ^ _51683) ^ [_55172, _55174, _55176] : [convergent_lines(_55176, _55174), -(distinct_lines(_55174, _55172)), -(convergent_lines(_55176, _55172))], (114 ^ _51683) ^ [_55508, _55510] : [distinct_lines(_55510, _55508), -(convergent_lines(_55510, _55508))], (120 ^ _51683) ^ [_55722, _55724] : [convergent_lines(parallel_through_point(_55722, _55724), _55722)], (122 ^ _51683) ^ [_55818, _55820] : [apart_point_and_line(_55820, parallel_through_point(_55818, _55820))], (124 ^ _51683) ^ [_55924, _55926, _55928] : [distinct_lines(_55926, _55924), -(apart_point_and_line(_55928, _55926)), -(apart_point_and_line(_55928, _55924)), -(convergent_lines(_55926, _55924))], (138 ^ _51683) ^ [_56352, _56354] : [-(convergent_lines(_56354, _56352)), -(unorthogonal_lines(_56354, _56352))], (144 ^ _51683) ^ [_56577, _56579, _56581] : [convergent_lines(_56581, _56579), unorthogonal_lines(_56581, _56579), 153 ^ _51683 : [(154 ^ _51683) ^ [] : [-(convergent_lines(_56581, _56577))], (156 ^ _51683) ^ [] : [-(unorthogonal_lines(_56581, _56577))]], 157 ^ _51683 : [(158 ^ _51683) ^ [] : [-(convergent_lines(_56579, _56577))], (160 ^ _51683) ^ [] : [-(unorthogonal_lines(_56579, _56577))]]], (162 ^ _51683) ^ [_57120, _57122] : [unorthogonal_lines(orthogonal_through_point(_57120, _57122), _57120)], (164 ^ _51683) ^ [_57216, _57218] : [apart_point_and_line(_57218, orthogonal_through_point(_57216, _57218))], (166 ^ _51683) ^ [_57336, _57338, _57340, _57342] : [distinct_lines(_57340, _57338), -(apart_point_and_line(_57342, _57340)), -(apart_point_and_line(_57342, _57338)), -(unorthogonal_lines(_57340, _57336)), -(unorthogonal_lines(_57338, _57336))], (184 ^ _51683) ^ [_57880, _57882] : [-(convergent_lines(_57882, _57880)), -(unorthogonal_lines(_57882, _57880))], (208 ^ _51683) ^ [_58674, _58676, _58678] : [convergent_lines(_58676, _58674), -(unorthogonal_lines(_58678, _58676)), -(unorthogonal_lines(_58678, _58674))], (190 ^ _51683) ^ [_58109, _58111, _58113] : [193 ^ _51683 : [(194 ^ _51683) ^ [] : [-(convergent_lines(_58113, _58111))], (196 ^ _51683) ^ [] : [-(unorthogonal_lines(_58113, _58111))]], 197 ^ _51683 : [(198 ^ _51683) ^ [] : [-(convergent_lines(_58113, _58109))], (200 ^ _51683) ^ [] : [-(unorthogonal_lines(_58113, _58109))]], convergent_lines(_58111, _58109), unorthogonal_lines(_58111, _58109)], (218 ^ _51683) ^ [_59014, _59016] : [-(line(line_connecting(_59016, _59014))), point(_59016), point(_59014), distinct_points(_59016, _59014)], (232 ^ _51683) ^ [_59402, _59404] : [-(point(intersection_point(_59404, _59402))), line(_59404), line(_59402), convergent_lines(_59404, _59402)], (246 ^ _51683) ^ [_59790, _59792] : [-(line(parallel_through_point(_59792, _59790))), line(_59792), point(_59790)], (256 ^ _51683) ^ [_60069, _60071] : [-(line(orthogonal_through_point(_60071, _60069))), line(_60071), point(_60069)], (266 ^ _51683) ^ [_60403, _60405] : [equal_points(_60405, _60403), distinct_points(_60405, _60403)], (272 ^ _51683) ^ [_60566, _60568] : [-(distinct_points(_60568, _60566)), -(equal_points(_60568, _60566))], (278 ^ _51683) ^ [_60810, _60812] : [equal_lines(_60812, _60810), distinct_lines(_60812, _60810)], (284 ^ _51683) ^ [_60973, _60975] : [-(distinct_lines(_60975, _60973)), -(equal_lines(_60975, _60973))], (290 ^ _51683) ^ [_61217, _61219] : [parallel_lines(_61219, _61217), convergent_lines(_61219, _61217)], (296 ^ _51683) ^ [_61380, _61382] : [-(convergent_lines(_61382, _61380)), -(parallel_lines(_61382, _61380))], (302 ^ _51683) ^ [_61624, _61626] : [incident_point_and_line(_61626, _61624), apart_point_and_line(_61626, _61624)], (308 ^ _51683) ^ [_61787, _61789] : [-(apart_point_and_line(_61789, _61787)), -(incident_point_and_line(_61789, _61787))], (314 ^ _51683) ^ [_62011, _62013] : [orthogonal_lines(_62013, _62011), unorthogonal_lines(_62013, _62011)], (320 ^ _51683) ^ [_62174, _62176] : [-(unorthogonal_lines(_62176, _62174)), -(orthogonal_lines(_62176, _62174))]], input).
% 0.38/1.39  ncf('1',plain,[convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), apart_point_and_line(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), line_connecting(325 ^ [], 326 ^ []))],start(50 ^ 0,bind([[_53453, _53455], [line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.38/1.39  ncf('1.1',plain,[-(convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])))],extension(333 ^ 1)).
% 0.38/1.39  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), line_connecting(325 ^ [], 326 ^ []))), distinct_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ []), distinct_lines(line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), line_connecting(325 ^ [], 327 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 327 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 1,bind([[_53915, _53917, _53919, _53921], [line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []), 325 ^ [], intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []))]]))).
% 0.38/1.39  ncf('1.2.1',plain,[-(distinct_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ [])), distinct_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ []), -(distinct_points(325 ^ [], 325 ^ []))],extension(8 ^ 2,bind([[_52061, _52063, _52065], [325 ^ [], 325 ^ [], intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []))]]))).
% 0.38/1.39  ncf('1.2.1.1',plain,[-(distinct_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ [])), -(equal_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ []))],extension(272 ^ 3,bind([[_60566, _60568], [325 ^ [], intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []))]]))).
% 0.38/1.39  ncf('1.2.1.1.1',plain,[equal_points(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), 325 ^ [])],extension(335 ^ 4)).
% 0.38/1.39  ncf('1.2.1.2',plain,[distinct_points(325 ^ [], 325 ^ [])],extension(2 ^ 3,bind([[_51786], [325 ^ []]]))).
% 0.38/1.39  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ []))), convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), -(convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 326 ^ [])))],extension(104 ^ 2,bind([[_55172, _55174, _55176], [line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.38/1.39  ncf('1.2.2.1',plain,[-(convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])))],extension(333 ^ 3)).
% 0.38/1.39  ncf('1.2.2.2',plain,[convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 326 ^ []))],extension(6 ^ 3,bind([[_51940], [line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.38/1.39  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])), line_connecting(325 ^ [], 327 ^ [])), convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []))],extension(56 ^ 2,bind([[_53670, _53672], [line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.38/1.39  ncf('1.2.3.1',plain,[-(convergent_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ [])))],lemmata('x')).
% 0.38/1.39  ncf('1.2.4',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 327 ^ [])), distinct_points(325 ^ [], 327 ^ [])],extension(38 ^ 2,bind([[_53019, _53021], [327 ^ [], 325 ^ []]]))).
% 0.38/1.39  ncf('1.2.4.1',plain,[-(distinct_points(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.38/1.39  ncf('1.2.5',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_53019, _53021], [326 ^ [], 325 ^ []]]))).
% 0.38/1.39  ncf('1.2.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------