%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO189+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:12:08 EDT 2023

% Result   : Theorem 0.48s 1.38s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO189+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n021.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 04:15:57 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.48/1.38  
% 0.48/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.48/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.38  %-----------------------------------------------------
% 0.48/1.38  ncf(matrix, plain, [(329 ^ _51830) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _51830) ^ [] : [-(distinct_points(325 ^ [], 327 ^ []))], (333 ^ _51830) ^ [] : [-(distinct_points(326 ^ [], 327 ^ []))], (335 ^ _51830) ^ [] : [-(incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (337 ^ _51830) ^ [] : [incident_point_and_line(326 ^ [], line_connecting(325 ^ [], 327 ^ []))], (2 ^ _51830) ^ [_51933] : [distinct_points(_51933, _51933)], (4 ^ _51830) ^ [_52010] : [distinct_lines(_52010, _52010)], (6 ^ _51830) ^ [_52087] : [convergent_lines(_52087, _52087)], (8 ^ _51830) ^ [_52208, _52210, _52212] : [distinct_points(_52212, _52210), -(distinct_points(_52212, _52208)), -(distinct_points(_52210, _52208))], (18 ^ _51830) ^ [_52532, _52534, _52536] : [distinct_lines(_52536, _52534), -(distinct_lines(_52536, _52532)), -(distinct_lines(_52534, _52532))], (28 ^ _51830) ^ [_52856, _52858, _52860] : [convergent_lines(_52860, _52858), -(convergent_lines(_52860, _52856)), -(convergent_lines(_52858, _52856))], (38 ^ _51830) ^ [_53166, _53168] : [distinct_points(_53168, _53166), apart_point_and_line(_53168, line_connecting(_53168, _53166))], (44 ^ _51830) ^ [_53383, _53385] : [distinct_points(_53385, _53383), apart_point_and_line(_53383, line_connecting(_53385, _53383))], (50 ^ _51830) ^ [_53600, _53602] : [convergent_lines(_53602, _53600), apart_point_and_line(intersection_point(_53602, _53600), _53602)], (56 ^ _51830) ^ [_53817, _53819] : [convergent_lines(_53819, _53817), apart_point_and_line(intersection_point(_53819, _53817), _53817)], (62 ^ _51830) ^ [_54062, _54064, _54066, _54068] : [distinct_points(_54068, _54066), distinct_lines(_54064, _54062), -(apart_point_and_line(_54068, _54064)), -(apart_point_and_line(_54068, _54062)), -(apart_point_and_line(_54066, _54064)), -(apart_point_and_line(_54066, _54062))], (84 ^ _51830) ^ [_54691, _54693, _54695] : [apart_point_and_line(_54695, _54693), -(distinct_points(_54695, _54691)), -(apart_point_and_line(_54691, _54693))], (94 ^ _51830) ^ [_55015, _55017, _55019] : [apart_point_and_line(_55019, _55017), -(distinct_lines(_55017, _55015)), -(apart_point_and_line(_55019, _55015))], (104 ^ _51830) ^ [_55319, _55321, _55323] : [convergent_lines(_55323, _55321), -(distinct_lines(_55321, _55319)), -(convergent_lines(_55323, _55319))], (114 ^ _51830) ^ [_55655, _55657] : [distinct_lines(_55657, _55655), -(convergent_lines(_55657, _55655))], (120 ^ _51830) ^ [_55869, _55871] : [convergent_lines(parallel_through_point(_55869, _55871), _55869)], (122 ^ _51830) ^ [_55965, _55967] : [apart_point_and_line(_55967, parallel_through_point(_55965, _55967))], (124 ^ _51830) ^ [_56071, _56073, _56075] : [distinct_lines(_56073, _56071), -(apart_point_and_line(_56075, _56073)), -(apart_point_and_line(_56075, _56071)), -(convergent_lines(_56073, _56071))], (138 ^ _51830) ^ [_56499, _56501] : [-(convergent_lines(_56501, _56499)), -(unorthogonal_lines(_56501, _56499))], (144 ^ _51830) ^ [_56724, _56726, _56728] : [convergent_lines(_56728, _56726), unorthogonal_lines(_56728, _56726), 153 ^ _51830 : [(154 ^ _51830) ^ [] : [-(convergent_lines(_56728, _56724))], (156 ^ _51830) ^ [] : [-(unorthogonal_lines(_56728, _56724))]], 157 ^ _51830 : [(158 ^ _51830) ^ [] : [-(convergent_lines(_56726, _56724))], (160 ^ _51830) ^ [] : [-(unorthogonal_lines(_56726, _56724))]]], (162 ^ _51830) ^ [_57267, _57269] : [unorthogonal_lines(orthogonal_through_point(_57267, _57269), _57267)], (164 ^ _51830) ^ [_57363, _57365] : [apart_point_and_line(_57365, orthogonal_through_point(_57363, _57365))], (166 ^ _51830) ^ [_57483, _57485, _57487, _57489] : [distinct_lines(_57487, _57485), -(apart_point_and_line(_57489, _57487)), -(apart_point_and_line(_57489, _57485)), -(unorthogonal_lines(_57487, _57483)), -(unorthogonal_lines(_57485, _57483))], (184 ^ _51830) ^ [_58027, _58029] : [-(convergent_lines(_58029, _58027)), -(unorthogonal_lines(_58029, _58027))], (208 ^ _51830) ^ [_58821, _58823, _58825] : [convergent_lines(_58823, _58821), -(unorthogonal_lines(_58825, _58823)), -(unorthogonal_lines(_58825, _58821))], (190 ^ _51830) ^ [_58256, _58258, _58260] : [193 ^ _51830 : [(194 ^ _51830) ^ [] : [-(convergent_lines(_58260, _58258))], (196 ^ _51830) ^ [] : [-(unorthogonal_lines(_58260, _58258))]], 197 ^ _51830 : [(198 ^ _51830) ^ [] : [-(convergent_lines(_58260, _58256))], (200 ^ _51830) ^ [] : [-(unorthogonal_lines(_58260, _58256))]], convergent_lines(_58258, _58256), unorthogonal_lines(_58258, _58256)], (218 ^ _51830) ^ [_59161, _59163] : [-(line(line_connecting(_59163, _59161))), point(_59163), point(_59161), distinct_points(_59163, _59161)], (232 ^ _51830) ^ [_59549, _59551] : [-(point(intersection_point(_59551, _59549))), line(_59551), line(_59549), convergent_lines(_59551, _59549)], (246 ^ _51830) ^ [_59937, _59939] : [-(line(parallel_through_point(_59939, _59937))), line(_59939), point(_59937)], (256 ^ _51830) ^ [_60216, _60218] : [-(line(orthogonal_through_point(_60218, _60216))), line(_60218), point(_60216)], (266 ^ _51830) ^ [_60550, _60552] : [equal_points(_60552, _60550), distinct_points(_60552, _60550)], (272 ^ _51830) ^ [_60713, _60715] : [-(distinct_points(_60715, _60713)), -(equal_points(_60715, _60713))], (278 ^ _51830) ^ [_60957, _60959] : [equal_lines(_60959, _60957), distinct_lines(_60959, _60957)], (284 ^ _51830) ^ [_61120, _61122] : [-(distinct_lines(_61122, _61120)), -(equal_lines(_61122, _61120))], (290 ^ _51830) ^ [_61364, _61366] : [parallel_lines(_61366, _61364), convergent_lines(_61366, _61364)], (296 ^ _51830) ^ [_61527, _61529] : [-(convergent_lines(_61529, _61527)), -(parallel_lines(_61529, _61527))], (302 ^ _51830) ^ [_61771, _61773] : [incident_point_and_line(_61773, _61771), apart_point_and_line(_61773, _61771)], (308 ^ _51830) ^ [_61934, _61936] : [-(apart_point_and_line(_61936, _61934)), -(incident_point_and_line(_61936, _61934))], (314 ^ _51830) ^ [_62158, _62160] : [orthogonal_lines(_62160, _62158), unorthogonal_lines(_62160, _62158)], (320 ^ _51830) ^ [_62321, _62323] : [-(unorthogonal_lines(_62323, _62321)), -(orthogonal_lines(_62323, _62321))]], input).
% 0.48/1.38  ncf('1',plain,[incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(302 ^ 0,bind([[_61771, _61773], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.48/1.38  ncf('1.1',plain,[-(incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(335 ^ 1)).
% 0.48/1.38  ncf('1.2',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), distinct_points(327 ^ [], 325 ^ []), distinct_lines(line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(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([[_54062, _54064, _54066, _54068], [line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []), 325 ^ [], 327 ^ []]]))).
% 0.48/1.38  ncf('1.2.1',plain,[-(distinct_points(327 ^ [], 325 ^ [])), distinct_points(325 ^ [], 327 ^ []), -(distinct_points(325 ^ [], 325 ^ []))],extension(8 ^ 2,bind([[_52208, _52210, _52212], [325 ^ [], 327 ^ [], 325 ^ []]]))).
% 0.48/1.38  ncf('1.2.1.1',plain,[-(distinct_points(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.48/1.38  ncf('1.2.1.2',plain,[distinct_points(325 ^ [], 325 ^ [])],extension(2 ^ 3,bind([[_51933], [325 ^ []]]))).
% 0.48/1.38  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(325 ^ [], 327 ^ []), line_connecting(325 ^ [], 326 ^ []))), apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(94 ^ 2,bind([[_55015, _55017, _55019], [line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []), 326 ^ []]]))).
% 0.48/1.38  ncf('1.2.2.1',plain,[-(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 327 ^ []))), -(incident_point_and_line(326 ^ [], line_connecting(325 ^ [], 327 ^ [])))],extension(308 ^ 3,bind([[_61934, _61936], [line_connecting(325 ^ [], 327 ^ []), 326 ^ []]]))).
% 0.48/1.38  ncf('1.2.2.1.1',plain,[incident_point_and_line(326 ^ [], line_connecting(325 ^ [], 327 ^ []))],extension(337 ^ 4)).
% 0.48/1.38  ncf('1.2.2.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 3,bind([[_53383, _53385], [326 ^ [], 325 ^ []]]))).
% 0.48/1.38  ncf('1.2.2.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.48/1.38  ncf('1.2.3',plain,[apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 327 ^ [])), distinct_points(325 ^ [], 327 ^ [])],extension(44 ^ 2,bind([[_53383, _53385], [327 ^ [], 325 ^ []]]))).
% 0.48/1.38  ncf('1.2.3.1',plain,[-(distinct_points(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.48/1.38  ncf('1.2.4',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 327 ^ [])), distinct_points(325 ^ [], 327 ^ [])],extension(38 ^ 2,bind([[_53166, _53168], [327 ^ [], 325 ^ []]]))).
% 0.48/1.38  ncf('1.2.4.1',plain,[-(distinct_points(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.48/1.38  ncf('1.2.5',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_53166, _53168], [326 ^ [], 325 ^ []]]))).
% 0.48/1.38  ncf('1.2.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.48/1.38  %-----------------------------------------------------
% 0.48/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------