%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO222+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 11:12:17 EDT 2023

% Result   : Theorem 20.13s 19.98s
% Output   : Proof 20.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % 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 04:26:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 20.13/19.98  
% 20.13/19.98  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 20.13/19.98  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.13/19.98  %-----------------------------------------------------
% 20.13/19.98  ncf(matrix, plain, [(328 ^ _51736) ^ [] : [parallel_lines(326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))], (2 ^ _51736) ^ [_51839] : [distinct_points(_51839, _51839)], (4 ^ _51736) ^ [_51916] : [distinct_lines(_51916, _51916)], (6 ^ _51736) ^ [_51993] : [convergent_lines(_51993, _51993)], (8 ^ _51736) ^ [_52114, _52116, _52118] : [distinct_points(_52118, _52116), -(distinct_points(_52118, _52114)), -(distinct_points(_52116, _52114))], (18 ^ _51736) ^ [_52438, _52440, _52442] : [distinct_lines(_52442, _52440), -(distinct_lines(_52442, _52438)), -(distinct_lines(_52440, _52438))], (28 ^ _51736) ^ [_52762, _52764, _52766] : [convergent_lines(_52766, _52764), -(convergent_lines(_52766, _52762)), -(convergent_lines(_52764, _52762))], (38 ^ _51736) ^ [_53072, _53074] : [distinct_points(_53074, _53072), apart_point_and_line(_53074, line_connecting(_53074, _53072))], (44 ^ _51736) ^ [_53289, _53291] : [distinct_points(_53291, _53289), apart_point_and_line(_53289, line_connecting(_53291, _53289))], (50 ^ _51736) ^ [_53506, _53508] : [convergent_lines(_53508, _53506), apart_point_and_line(intersection_point(_53508, _53506), _53508)], (56 ^ _51736) ^ [_53723, _53725] : [convergent_lines(_53725, _53723), apart_point_and_line(intersection_point(_53725, _53723), _53723)], (62 ^ _51736) ^ [_53968, _53970, _53972, _53974] : [distinct_points(_53974, _53972), distinct_lines(_53970, _53968), -(apart_point_and_line(_53974, _53970)), -(apart_point_and_line(_53974, _53968)), -(apart_point_and_line(_53972, _53970)), -(apart_point_and_line(_53972, _53968))], (84 ^ _51736) ^ [_54597, _54599, _54601] : [apart_point_and_line(_54601, _54599), -(distinct_points(_54601, _54597)), -(apart_point_and_line(_54597, _54599))], (94 ^ _51736) ^ [_54921, _54923, _54925] : [apart_point_and_line(_54925, _54923), -(distinct_lines(_54923, _54921)), -(apart_point_and_line(_54925, _54921))], (104 ^ _51736) ^ [_55225, _55227, _55229] : [convergent_lines(_55229, _55227), -(distinct_lines(_55227, _55225)), -(convergent_lines(_55229, _55225))], (114 ^ _51736) ^ [_55561, _55563] : [distinct_lines(_55563, _55561), -(convergent_lines(_55563, _55561))], (120 ^ _51736) ^ [_55775, _55777] : [convergent_lines(parallel_through_point(_55775, _55777), _55775)], (122 ^ _51736) ^ [_55871, _55873] : [apart_point_and_line(_55873, parallel_through_point(_55871, _55873))], (124 ^ _51736) ^ [_55977, _55979, _55981] : [distinct_lines(_55979, _55977), -(apart_point_and_line(_55981, _55979)), -(apart_point_and_line(_55981, _55977)), -(convergent_lines(_55979, _55977))], (138 ^ _51736) ^ [_56405, _56407] : [-(convergent_lines(_56407, _56405)), -(unorthogonal_lines(_56407, _56405))], (144 ^ _51736) ^ [_56630, _56632, _56634] : [convergent_lines(_56634, _56632), unorthogonal_lines(_56634, _56632), 153 ^ _51736 : [(154 ^ _51736) ^ [] : [-(convergent_lines(_56634, _56630))], (156 ^ _51736) ^ [] : [-(unorthogonal_lines(_56634, _56630))]], 157 ^ _51736 : [(158 ^ _51736) ^ [] : [-(convergent_lines(_56632, _56630))], (160 ^ _51736) ^ [] : [-(unorthogonal_lines(_56632, _56630))]]], (162 ^ _51736) ^ [_57173, _57175] : [unorthogonal_lines(orthogonal_through_point(_57173, _57175), _57173)], (164 ^ _51736) ^ [_57269, _57271] : [apart_point_and_line(_57271, orthogonal_through_point(_57269, _57271))], (166 ^ _51736) ^ [_57389, _57391, _57393, _57395] : [distinct_lines(_57393, _57391), -(apart_point_and_line(_57395, _57393)), -(apart_point_and_line(_57395, _57391)), -(unorthogonal_lines(_57393, _57389)), -(unorthogonal_lines(_57391, _57389))], (184 ^ _51736) ^ [_57933, _57935] : [-(convergent_lines(_57935, _57933)), -(unorthogonal_lines(_57935, _57933))], (208 ^ _51736) ^ [_58727, _58729, _58731] : [convergent_lines(_58729, _58727), -(unorthogonal_lines(_58731, _58729)), -(unorthogonal_lines(_58731, _58727))], (190 ^ _51736) ^ [_58162, _58164, _58166] : [193 ^ _51736 : [(194 ^ _51736) ^ [] : [-(convergent_lines(_58166, _58164))], (196 ^ _51736) ^ [] : [-(unorthogonal_lines(_58166, _58164))]], 197 ^ _51736 : [(198 ^ _51736) ^ [] : [-(convergent_lines(_58166, _58162))], (200 ^ _51736) ^ [] : [-(unorthogonal_lines(_58166, _58162))]], convergent_lines(_58164, _58162), unorthogonal_lines(_58164, _58162)], (218 ^ _51736) ^ [_59067, _59069] : [-(line(line_connecting(_59069, _59067))), point(_59069), point(_59067), distinct_points(_59069, _59067)], (232 ^ _51736) ^ [_59455, _59457] : [-(point(intersection_point(_59457, _59455))), line(_59457), line(_59455), convergent_lines(_59457, _59455)], (246 ^ _51736) ^ [_59843, _59845] : [-(line(parallel_through_point(_59845, _59843))), line(_59845), point(_59843)], (256 ^ _51736) ^ [_60122, _60124] : [-(line(orthogonal_through_point(_60124, _60122))), line(_60124), point(_60122)], (266 ^ _51736) ^ [_60456, _60458] : [equal_points(_60458, _60456), distinct_points(_60458, _60456)], (272 ^ _51736) ^ [_60619, _60621] : [-(distinct_points(_60621, _60619)), -(equal_points(_60621, _60619))], (278 ^ _51736) ^ [_60863, _60865] : [equal_lines(_60865, _60863), distinct_lines(_60865, _60863)], (284 ^ _51736) ^ [_61026, _61028] : [-(distinct_lines(_61028, _61026)), -(equal_lines(_61028, _61026))], (290 ^ _51736) ^ [_61270, _61272] : [parallel_lines(_61272, _61270), convergent_lines(_61272, _61270)], (296 ^ _51736) ^ [_61433, _61435] : [-(convergent_lines(_61435, _61433)), -(parallel_lines(_61435, _61433))], (302 ^ _51736) ^ [_61677, _61679] : [incident_point_and_line(_61679, _61677), apart_point_and_line(_61679, _61677)], (308 ^ _51736) ^ [_61840, _61842] : [-(apart_point_and_line(_61842, _61840)), -(incident_point_and_line(_61842, _61840))], (314 ^ _51736) ^ [_62064, _62066] : [orthogonal_lines(_62066, _62064), unorthogonal_lines(_62066, _62064)], (320 ^ _51736) ^ [_62227, _62229] : [-(unorthogonal_lines(_62229, _62227)), -(orthogonal_lines(_62229, _62227))]], input).
% 20.13/19.98  ncf('1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))],start(162 ^ 0,bind([[_57173, _57175], [orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []]]))).
% 20.13/19.98  ncf('1.1',plain,[-(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])))],extension(138 ^ 1,bind([[_56405, _56407], [orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(50 ^ 2,bind([[_53506, _53508], [orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))), distinct_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), orthogonal_through_point(326 ^ [], 325 ^ []))), -(unorthogonal_lines(orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [])), -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ []))],extension(166 ^ 3,bind([[_57389, _57391, _57393, _57395], [326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []), intersection_point(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))]]))).
% 20.13/19.98  ncf('1.1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))), distinct_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])))],extension(18 ^ 4,bind([[_52438, _52440, _52442], [orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))), convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])))],extension(104 ^ 5,bind([[_55225, _55227, _55229], [orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.1.1.1',plain,[-(convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])))],reduction('1.1')).
% 20.13/19.98  ncf('1.1.1.1.1.1.2',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(6 ^ 6,bind([[_51993], [orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.1.2',plain,[distinct_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(4 ^ 5,bind([[_51916], [orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])), orthogonal_through_point(326 ^ [], 325 ^ [])), convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))],extension(56 ^ 4,bind([[_53723, _53725], [orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.2.1',plain,[-(convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ [])))],reduction('1.1')).
% 20.13/19.98  ncf('1.1.1.1.3',plain,[unorthogonal_lines(orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [])],extension(162 ^ 4,bind([[_57173, _57175], [326 ^ [], 325 ^ []]]))).
% 20.13/19.98  ncf('1.1.1.1.4',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ []), convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ []), 156 : -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))), 158 : -(convergent_lines(326 ^ [], orthogonal_through_point(326 ^ [], 325 ^ [])))],extension(144 ^ 4,bind([[_56630, _56632, _56634], [orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.4.1',plain,[-(convergent_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ [])), convergent_lines(326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])), -(convergent_lines(326 ^ [], 326 ^ []))],extension(28 ^ 5,bind([[_52762, _52764, _52766], [326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ []]]))).
% 20.13/19.98  ncf('1.1.1.1.4.1.1',plain,[-(convergent_lines(326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))), -(parallel_lines(326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ [])))],extension(296 ^ 6,bind([[_61433, _61435], [orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), 326 ^ []]]))).
% 20.13/19.98  ncf('1.1.1.1.4.1.1.1',plain,[parallel_lines(326 ^ [], orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(328 ^ 7)).
% 20.13/19.98  ncf('1.1.1.1.4.1.2',plain,[convergent_lines(326 ^ [], 326 ^ [])],extension(6 ^ 6,bind([[_51993], [326 ^ []]]))).
% 20.13/19.98  ncf('1.1.1.1.4.2',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(326 ^ [], 325 ^ []), 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))],reduction('1')).
% 20.13/19.98  ncf('1.1.1.1.4.3',plain,[convergent_lines(326 ^ [], orthogonal_through_point(326 ^ [], 325 ^ [])), 196 : -(unorthogonal_lines(orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [])), 198 : -(convergent_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))), 198 : unorthogonal_lines(326 ^ [], orthogonal_through_point(326 ^ [], 325 ^ []))],extension(190 ^ 7,bind([[_58162, _58164, _58166], [orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [], orthogonal_through_point(326 ^ [], 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.4.3.1',plain,[unorthogonal_lines(orthogonal_through_point(326 ^ [], 325 ^ []), 326 ^ [])],extension(162 ^ 10,bind([[_57173, _57175], [326 ^ [], 325 ^ []]]))).
% 20.13/19.98  ncf('1.1.1.1.4.3.2',plain,[convergent_lines(orthogonal_through_point(326 ^ [], 325 ^ []), orthogonal_through_point(326 ^ [], 325 ^ []))],extension(6 ^ 10,bind([[_51993], [orthogonal_through_point(326 ^ [], 325 ^ [])]]))).
% 20.13/19.98  ncf('1.1.1.1.4.3.3',plain,[-(unorthogonal_lines(326 ^ [], orthogonal_through_point(326 ^ [], 325 ^ [])))],extension(160 ^ 8)).
% 20.13/19.98  %-----------------------------------------------------
% 20.13/19.98  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------