%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:12:10 EDT 2023

% Result   : Theorem 0.41s 1.36s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May 19 04:28:13 EDT 2023
% 0.15/0.31  % CPUTime  : 
% 0.41/1.36  
% 0.41/1.36  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.36  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.36  %-----------------------------------------------------
% 0.41/1.36  ncf(matrix, plain, [(329 ^ _51862) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _51862) ^ [] : [-(convergent_lines(327 ^ [], 326 ^ []))], (333 ^ _51862) ^ [] : [-(convergent_lines(325 ^ [], 327 ^ []))], (335 ^ _51862) ^ [] : [-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (337 ^ _51862) ^ [] : [incident_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ [])], (2 ^ _51862) ^ [_51965] : [distinct_points(_51965, _51965)], (4 ^ _51862) ^ [_52042] : [distinct_lines(_52042, _52042)], (6 ^ _51862) ^ [_52119] : [convergent_lines(_52119, _52119)], (8 ^ _51862) ^ [_52240, _52242, _52244] : [distinct_points(_52244, _52242), -(distinct_points(_52244, _52240)), -(distinct_points(_52242, _52240))], (18 ^ _51862) ^ [_52564, _52566, _52568] : [distinct_lines(_52568, _52566), -(distinct_lines(_52568, _52564)), -(distinct_lines(_52566, _52564))], (28 ^ _51862) ^ [_52888, _52890, _52892] : [convergent_lines(_52892, _52890), -(convergent_lines(_52892, _52888)), -(convergent_lines(_52890, _52888))], (38 ^ _51862) ^ [_53198, _53200] : [distinct_points(_53200, _53198), apart_point_and_line(_53200, line_connecting(_53200, _53198))], (44 ^ _51862) ^ [_53415, _53417] : [distinct_points(_53417, _53415), apart_point_and_line(_53415, line_connecting(_53417, _53415))], (50 ^ _51862) ^ [_53632, _53634] : [convergent_lines(_53634, _53632), apart_point_and_line(intersection_point(_53634, _53632), _53634)], (56 ^ _51862) ^ [_53849, _53851] : [convergent_lines(_53851, _53849), apart_point_and_line(intersection_point(_53851, _53849), _53849)], (62 ^ _51862) ^ [_54094, _54096, _54098, _54100] : [distinct_points(_54100, _54098), distinct_lines(_54096, _54094), -(apart_point_and_line(_54100, _54096)), -(apart_point_and_line(_54100, _54094)), -(apart_point_and_line(_54098, _54096)), -(apart_point_and_line(_54098, _54094))], (84 ^ _51862) ^ [_54723, _54725, _54727] : [apart_point_and_line(_54727, _54725), -(distinct_points(_54727, _54723)), -(apart_point_and_line(_54723, _54725))], (94 ^ _51862) ^ [_55047, _55049, _55051] : [apart_point_and_line(_55051, _55049), -(distinct_lines(_55049, _55047)), -(apart_point_and_line(_55051, _55047))], (104 ^ _51862) ^ [_55351, _55353, _55355] : [convergent_lines(_55355, _55353), -(distinct_lines(_55353, _55351)), -(convergent_lines(_55355, _55351))], (114 ^ _51862) ^ [_55687, _55689] : [distinct_lines(_55689, _55687), -(convergent_lines(_55689, _55687))], (120 ^ _51862) ^ [_55901, _55903] : [convergent_lines(parallel_through_point(_55901, _55903), _55901)], (122 ^ _51862) ^ [_55997, _55999] : [apart_point_and_line(_55999, parallel_through_point(_55997, _55999))], (124 ^ _51862) ^ [_56103, _56105, _56107] : [distinct_lines(_56105, _56103), -(apart_point_and_line(_56107, _56105)), -(apart_point_and_line(_56107, _56103)), -(convergent_lines(_56105, _56103))], (138 ^ _51862) ^ [_56531, _56533] : [-(convergent_lines(_56533, _56531)), -(unorthogonal_lines(_56533, _56531))], (144 ^ _51862) ^ [_56756, _56758, _56760] : [convergent_lines(_56760, _56758), unorthogonal_lines(_56760, _56758), 153 ^ _51862 : [(154 ^ _51862) ^ [] : [-(convergent_lines(_56760, _56756))], (156 ^ _51862) ^ [] : [-(unorthogonal_lines(_56760, _56756))]], 157 ^ _51862 : [(158 ^ _51862) ^ [] : [-(convergent_lines(_56758, _56756))], (160 ^ _51862) ^ [] : [-(unorthogonal_lines(_56758, _56756))]]], (162 ^ _51862) ^ [_57299, _57301] : [unorthogonal_lines(orthogonal_through_point(_57299, _57301), _57299)], (164 ^ _51862) ^ [_57395, _57397] : [apart_point_and_line(_57397, orthogonal_through_point(_57395, _57397))], (166 ^ _51862) ^ [_57515, _57517, _57519, _57521] : [distinct_lines(_57519, _57517), -(apart_point_and_line(_57521, _57519)), -(apart_point_and_line(_57521, _57517)), -(unorthogonal_lines(_57519, _57515)), -(unorthogonal_lines(_57517, _57515))], (184 ^ _51862) ^ [_58059, _58061] : [-(convergent_lines(_58061, _58059)), -(unorthogonal_lines(_58061, _58059))], (208 ^ _51862) ^ [_58853, _58855, _58857] : [convergent_lines(_58855, _58853), -(unorthogonal_lines(_58857, _58855)), -(unorthogonal_lines(_58857, _58853))], (190 ^ _51862) ^ [_58288, _58290, _58292] : [193 ^ _51862 : [(194 ^ _51862) ^ [] : [-(convergent_lines(_58292, _58290))], (196 ^ _51862) ^ [] : [-(unorthogonal_lines(_58292, _58290))]], 197 ^ _51862 : [(198 ^ _51862) ^ [] : [-(convergent_lines(_58292, _58288))], (200 ^ _51862) ^ [] : [-(unorthogonal_lines(_58292, _58288))]], convergent_lines(_58290, _58288), unorthogonal_lines(_58290, _58288)], (218 ^ _51862) ^ [_59193, _59195] : [-(line(line_connecting(_59195, _59193))), point(_59195), point(_59193), distinct_points(_59195, _59193)], (232 ^ _51862) ^ [_59581, _59583] : [-(point(intersection_point(_59583, _59581))), line(_59583), line(_59581), convergent_lines(_59583, _59581)], (246 ^ _51862) ^ [_59969, _59971] : [-(line(parallel_through_point(_59971, _59969))), line(_59971), point(_59969)], (256 ^ _51862) ^ [_60248, _60250] : [-(line(orthogonal_through_point(_60250, _60248))), line(_60250), point(_60248)], (266 ^ _51862) ^ [_60582, _60584] : [equal_points(_60584, _60582), distinct_points(_60584, _60582)], (272 ^ _51862) ^ [_60745, _60747] : [-(distinct_points(_60747, _60745)), -(equal_points(_60747, _60745))], (278 ^ _51862) ^ [_60989, _60991] : [equal_lines(_60991, _60989), distinct_lines(_60991, _60989)], (284 ^ _51862) ^ [_61152, _61154] : [-(distinct_lines(_61154, _61152)), -(equal_lines(_61154, _61152))], (290 ^ _51862) ^ [_61396, _61398] : [parallel_lines(_61398, _61396), convergent_lines(_61398, _61396)], (296 ^ _51862) ^ [_61559, _61561] : [-(convergent_lines(_61561, _61559)), -(parallel_lines(_61561, _61559))], (302 ^ _51862) ^ [_61803, _61805] : [incident_point_and_line(_61805, _61803), apart_point_and_line(_61805, _61803)], (308 ^ _51862) ^ [_61966, _61968] : [-(apart_point_and_line(_61968, _61966)), -(incident_point_and_line(_61968, _61966))], (314 ^ _51862) ^ [_62190, _62192] : [orthogonal_lines(_62192, _62190), unorthogonal_lines(_62192, _62190)], (320 ^ _51862) ^ [_62353, _62355] : [-(unorthogonal_lines(_62355, _62353)), -(orthogonal_lines(_62355, _62353))]], input).
% 0.41/1.36  ncf('1',plain,[incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])],start(302 ^ 0,bind([[_61803, _61805], [327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.41/1.36  ncf('1.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(335 ^ 1)).
% 0.41/1.36  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])), distinct_points(intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])), distinct_lines(327 ^ [], 325 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 327 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []))],extension(62 ^ 1,bind([[_54094, _54096, _54098, _54100], [325 ^ [], 327 ^ [], intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])]]))).
% 0.41/1.36  ncf('1.2.1',plain,[-(distinct_points(intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ []))), apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []))],extension(84 ^ 2,bind([[_54723, _54725, _54727], [intersection_point(325 ^ [], 326 ^ []), 326 ^ [], intersection_point(325 ^ [], 327 ^ [])]]))).
% 0.41/1.36  ncf('1.2.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ [])), -(incident_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ []))],extension(308 ^ 3,bind([[_61966, _61968], [326 ^ [], intersection_point(325 ^ [], 327 ^ [])]]))).
% 0.41/1.36  ncf('1.2.1.1.1',plain,[incident_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ [])],extension(337 ^ 4)).
% 0.41/1.36  ncf('1.2.1.2',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 3,bind([[_53849, _53851], [326 ^ [], 325 ^ []]]))).
% 0.41/1.36  ncf('1.2.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.41/1.36  ncf('1.2.2',plain,[-(distinct_lines(327 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 327 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 2,bind([[_55351, _55353, _55355], [325 ^ [], 327 ^ [], 325 ^ []]]))).
% 0.41/1.36  ncf('1.2.2.1',plain,[-(convergent_lines(325 ^ [], 327 ^ []))],extension(333 ^ 3)).
% 0.41/1.36  ncf('1.2.2.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 3,bind([[_52119], [325 ^ []]]))).
% 0.41/1.36  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 327 ^ []), convergent_lines(325 ^ [], 327 ^ [])],extension(56 ^ 2,bind([[_53849, _53851], [327 ^ [], 325 ^ []]]))).
% 0.41/1.36  ncf('1.2.3.1',plain,[-(convergent_lines(325 ^ [], 327 ^ []))],extension(333 ^ 3)).
% 0.41/1.36  ncf('1.2.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ []), convergent_lines(325 ^ [], 327 ^ [])],extension(50 ^ 2,bind([[_53632, _53634], [327 ^ [], 325 ^ []]]))).
% 0.41/1.36  ncf('1.2.4.1',plain,[-(convergent_lines(325 ^ [], 327 ^ []))],extension(333 ^ 3)).
% 0.41/1.36  ncf('1.2.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 2,bind([[_53632, _53634], [326 ^ [], 325 ^ []]]))).
% 0.41/1.36  ncf('1.2.5.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.41/1.36  %-----------------------------------------------------
% 0.41/1.36  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------