%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO187+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:07 EDT 2023

% Result   : Theorem 3.94s 4.51s
% Output   : Proof 3.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO187+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n028.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 04:31:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 3.94/4.51  
% 3.94/4.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 3.94/4.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/4.51  %-----------------------------------------------------
% 3.94/4.51  ncf(matrix, plain, [(330 ^ _52841) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _52841) ^ [] : [-(distinct_points(327 ^ [], 328 ^ []))], (334 ^ _52841) ^ [] : [-(incident_point_and_line(325 ^ [], line_connecting(327 ^ [], 328 ^ [])))], (336 ^ _52841) ^ [] : [-(incident_point_and_line(326 ^ [], line_connecting(327 ^ [], 328 ^ [])))], (338 ^ _52841) ^ [] : [incident_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), incident_point_and_line(328 ^ [], line_connecting(325 ^ [], 326 ^ []))], (2 ^ _52841) ^ [_52944] : [distinct_points(_52944, _52944)], (4 ^ _52841) ^ [_53021] : [distinct_lines(_53021, _53021)], (6 ^ _52841) ^ [_53098] : [convergent_lines(_53098, _53098)], (8 ^ _52841) ^ [_53219, _53221, _53223] : [distinct_points(_53223, _53221), -(distinct_points(_53223, _53219)), -(distinct_points(_53221, _53219))], (18 ^ _52841) ^ [_53543, _53545, _53547] : [distinct_lines(_53547, _53545), -(distinct_lines(_53547, _53543)), -(distinct_lines(_53545, _53543))], (28 ^ _52841) ^ [_53867, _53869, _53871] : [convergent_lines(_53871, _53869), -(convergent_lines(_53871, _53867)), -(convergent_lines(_53869, _53867))], (38 ^ _52841) ^ [_54177, _54179] : [distinct_points(_54179, _54177), apart_point_and_line(_54179, line_connecting(_54179, _54177))], (44 ^ _52841) ^ [_54394, _54396] : [distinct_points(_54396, _54394), apart_point_and_line(_54394, line_connecting(_54396, _54394))], (50 ^ _52841) ^ [_54611, _54613] : [convergent_lines(_54613, _54611), apart_point_and_line(intersection_point(_54613, _54611), _54613)], (56 ^ _52841) ^ [_54828, _54830] : [convergent_lines(_54830, _54828), apart_point_and_line(intersection_point(_54830, _54828), _54828)], (62 ^ _52841) ^ [_55073, _55075, _55077, _55079] : [distinct_points(_55079, _55077), distinct_lines(_55075, _55073), -(apart_point_and_line(_55079, _55075)), -(apart_point_and_line(_55079, _55073)), -(apart_point_and_line(_55077, _55075)), -(apart_point_and_line(_55077, _55073))], (84 ^ _52841) ^ [_55702, _55704, _55706] : [apart_point_and_line(_55706, _55704), -(distinct_points(_55706, _55702)), -(apart_point_and_line(_55702, _55704))], (94 ^ _52841) ^ [_56026, _56028, _56030] : [apart_point_and_line(_56030, _56028), -(distinct_lines(_56028, _56026)), -(apart_point_and_line(_56030, _56026))], (104 ^ _52841) ^ [_56330, _56332, _56334] : [convergent_lines(_56334, _56332), -(distinct_lines(_56332, _56330)), -(convergent_lines(_56334, _56330))], (114 ^ _52841) ^ [_56666, _56668] : [distinct_lines(_56668, _56666), -(convergent_lines(_56668, _56666))], (120 ^ _52841) ^ [_56880, _56882] : [convergent_lines(parallel_through_point(_56880, _56882), _56880)], (122 ^ _52841) ^ [_56976, _56978] : [apart_point_and_line(_56978, parallel_through_point(_56976, _56978))], (124 ^ _52841) ^ [_57082, _57084, _57086] : [distinct_lines(_57084, _57082), -(apart_point_and_line(_57086, _57084)), -(apart_point_and_line(_57086, _57082)), -(convergent_lines(_57084, _57082))], (138 ^ _52841) ^ [_57510, _57512] : [-(convergent_lines(_57512, _57510)), -(unorthogonal_lines(_57512, _57510))], (144 ^ _52841) ^ [_57735, _57737, _57739] : [convergent_lines(_57739, _57737), unorthogonal_lines(_57739, _57737), 153 ^ _52841 : [(154 ^ _52841) ^ [] : [-(convergent_lines(_57739, _57735))], (156 ^ _52841) ^ [] : [-(unorthogonal_lines(_57739, _57735))]], 157 ^ _52841 : [(158 ^ _52841) ^ [] : [-(convergent_lines(_57737, _57735))], (160 ^ _52841) ^ [] : [-(unorthogonal_lines(_57737, _57735))]]], (162 ^ _52841) ^ [_58278, _58280] : [unorthogonal_lines(orthogonal_through_point(_58278, _58280), _58278)], (164 ^ _52841) ^ [_58374, _58376] : [apart_point_and_line(_58376, orthogonal_through_point(_58374, _58376))], (166 ^ _52841) ^ [_58494, _58496, _58498, _58500] : [distinct_lines(_58498, _58496), -(apart_point_and_line(_58500, _58498)), -(apart_point_and_line(_58500, _58496)), -(unorthogonal_lines(_58498, _58494)), -(unorthogonal_lines(_58496, _58494))], (184 ^ _52841) ^ [_59038, _59040] : [-(convergent_lines(_59040, _59038)), -(unorthogonal_lines(_59040, _59038))], (208 ^ _52841) ^ [_59832, _59834, _59836] : [convergent_lines(_59834, _59832), -(unorthogonal_lines(_59836, _59834)), -(unorthogonal_lines(_59836, _59832))], (190 ^ _52841) ^ [_59267, _59269, _59271] : [193 ^ _52841 : [(194 ^ _52841) ^ [] : [-(convergent_lines(_59271, _59269))], (196 ^ _52841) ^ [] : [-(unorthogonal_lines(_59271, _59269))]], 197 ^ _52841 : [(198 ^ _52841) ^ [] : [-(convergent_lines(_59271, _59267))], (200 ^ _52841) ^ [] : [-(unorthogonal_lines(_59271, _59267))]], convergent_lines(_59269, _59267), unorthogonal_lines(_59269, _59267)], (218 ^ _52841) ^ [_60172, _60174] : [-(line(line_connecting(_60174, _60172))), point(_60174), point(_60172), distinct_points(_60174, _60172)], (232 ^ _52841) ^ [_60560, _60562] : [-(point(intersection_point(_60562, _60560))), line(_60562), line(_60560), convergent_lines(_60562, _60560)], (246 ^ _52841) ^ [_60948, _60950] : [-(line(parallel_through_point(_60950, _60948))), line(_60950), point(_60948)], (256 ^ _52841) ^ [_61227, _61229] : [-(line(orthogonal_through_point(_61229, _61227))), line(_61229), point(_61227)], (266 ^ _52841) ^ [_61561, _61563] : [equal_points(_61563, _61561), distinct_points(_61563, _61561)], (272 ^ _52841) ^ [_61724, _61726] : [-(distinct_points(_61726, _61724)), -(equal_points(_61726, _61724))], (278 ^ _52841) ^ [_61968, _61970] : [equal_lines(_61970, _61968), distinct_lines(_61970, _61968)], (284 ^ _52841) ^ [_62131, _62133] : [-(distinct_lines(_62133, _62131)), -(equal_lines(_62133, _62131))], (290 ^ _52841) ^ [_62375, _62377] : [parallel_lines(_62377, _62375), convergent_lines(_62377, _62375)], (296 ^ _52841) ^ [_62538, _62540] : [-(convergent_lines(_62540, _62538)), -(parallel_lines(_62540, _62538))], (302 ^ _52841) ^ [_62782, _62784] : [incident_point_and_line(_62784, _62782), apart_point_and_line(_62784, _62782)], (308 ^ _52841) ^ [_62945, _62947] : [-(apart_point_and_line(_62947, _62945)), -(incident_point_and_line(_62947, _62945))], (314 ^ _52841) ^ [_63169, _63171] : [orthogonal_lines(_63171, _63169), unorthogonal_lines(_63171, _63169)], (320 ^ _52841) ^ [_63332, _63334] : [-(unorthogonal_lines(_63334, _63332)), -(orthogonal_lines(_63334, _63332))]], input).
% 3.94/4.51  ncf('1',plain,[apart_point_and_line(326 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []))],start(122 ^ 0,bind([[_56976, _56978], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.51  ncf('1.1',plain,[-(apart_point_and_line(326 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []))), apart_point_and_line(326 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])))],extension(94 ^ 1,bind([[_56026, _56028, _56030], [parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.51  ncf('1.1.1',plain,[-(apart_point_and_line(326 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), distinct_points(325 ^ [], 326 ^ []), distinct_lines(line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 2,bind([[_55073, _55075, _55077, _55079], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []), 326 ^ [], 325 ^ []]]))).
% 3.94/4.51  ncf('1.1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 3)).
% 3.94/4.51  ncf('1.1.1.2',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(104 ^ 3,bind([[_56330, _56332, _56334], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.51  ncf('1.1.1.2.1',plain,[-(convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []))), -(unorthogonal_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ [])))],extension(138 ^ 4,bind([[_57510, _57512], [line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.51  ncf('1.1.1.2.1.1',plain,[unorthogonal_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []))],extension(162 ^ 5,bind([[_58278, _58280], [line_connecting(325 ^ [], 326 ^ []), 325 ^ []]]))).
% 3.94/4.51  ncf('1.1.1.2.2',plain,[convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(6 ^ 4,bind([[_53098], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.51  ncf('1.1.1.3',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 3,bind([[_54177, _54179], [326 ^ [], 325 ^ []]]))).
% 3.94/4.51  ncf('1.1.1.3.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 4)).
% 3.94/4.51  ncf('1.1.1.4',plain,[apart_point_and_line(325 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(164 ^ 3,bind([[_58374, _58376], [line_connecting(325 ^ [], 326 ^ []), 325 ^ []]]))).
% 3.94/4.51  ncf('1.1.1.5',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 3,bind([[_54394, _54396], [326 ^ [], 325 ^ []]]))).
% 3.94/4.51  ncf('1.1.1.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1, 1].x')).
% 3.94/4.51  ncf('1.1.2',plain,[distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), -(distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(18 ^ 2,bind([[_53543, _53545, _53547], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.51  ncf('1.1.2.1',plain,[distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(4 ^ 3,bind([[_53021], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.51  ncf('1.1.2.2',plain,[distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(114 ^ 3,bind([[_56666, _56668], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])]]))).
% 3.94/4.51  ncf('1.1.2.2.1',plain,[convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(120 ^ 4,bind([[_56880, _56882], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.51  %-----------------------------------------------------
% 3.94/4.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------