%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:12:11 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 03:59:42 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(328 ^ _49960) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (330 ^ _49960) ^ [] : [equal_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []))], (2 ^ _49960) ^ [_50063] : [distinct_points(_50063, _50063)], (4 ^ _49960) ^ [_50140] : [distinct_lines(_50140, _50140)], (6 ^ _49960) ^ [_50217] : [convergent_lines(_50217, _50217)], (8 ^ _49960) ^ [_50338, _50340, _50342] : [distinct_points(_50342, _50340), -(distinct_points(_50342, _50338)), -(distinct_points(_50340, _50338))], (18 ^ _49960) ^ [_50662, _50664, _50666] : [distinct_lines(_50666, _50664), -(distinct_lines(_50666, _50662)), -(distinct_lines(_50664, _50662))], (28 ^ _49960) ^ [_50986, _50988, _50990] : [convergent_lines(_50990, _50988), -(convergent_lines(_50990, _50986)), -(convergent_lines(_50988, _50986))], (38 ^ _49960) ^ [_51296, _51298] : [distinct_points(_51298, _51296), apart_point_and_line(_51298, line_connecting(_51298, _51296))], (44 ^ _49960) ^ [_51513, _51515] : [distinct_points(_51515, _51513), apart_point_and_line(_51513, line_connecting(_51515, _51513))], (50 ^ _49960) ^ [_51730, _51732] : [convergent_lines(_51732, _51730), apart_point_and_line(intersection_point(_51732, _51730), _51732)], (56 ^ _49960) ^ [_51947, _51949] : [convergent_lines(_51949, _51947), apart_point_and_line(intersection_point(_51949, _51947), _51947)], (62 ^ _49960) ^ [_52192, _52194, _52196, _52198] : [distinct_points(_52198, _52196), distinct_lines(_52194, _52192), -(apart_point_and_line(_52198, _52194)), -(apart_point_and_line(_52198, _52192)), -(apart_point_and_line(_52196, _52194)), -(apart_point_and_line(_52196, _52192))], (84 ^ _49960) ^ [_52821, _52823, _52825] : [apart_point_and_line(_52825, _52823), -(distinct_points(_52825, _52821)), -(apart_point_and_line(_52821, _52823))], (94 ^ _49960) ^ [_53145, _53147, _53149] : [apart_point_and_line(_53149, _53147), -(distinct_lines(_53147, _53145)), -(apart_point_and_line(_53149, _53145))], (104 ^ _49960) ^ [_53449, _53451, _53453] : [convergent_lines(_53453, _53451), -(distinct_lines(_53451, _53449)), -(convergent_lines(_53453, _53449))], (114 ^ _49960) ^ [_53785, _53787] : [distinct_lines(_53787, _53785), -(convergent_lines(_53787, _53785))], (120 ^ _49960) ^ [_53999, _54001] : [convergent_lines(parallel_through_point(_53999, _54001), _53999)], (122 ^ _49960) ^ [_54095, _54097] : [apart_point_and_line(_54097, parallel_through_point(_54095, _54097))], (124 ^ _49960) ^ [_54201, _54203, _54205] : [distinct_lines(_54203, _54201), -(apart_point_and_line(_54205, _54203)), -(apart_point_and_line(_54205, _54201)), -(convergent_lines(_54203, _54201))], (138 ^ _49960) ^ [_54629, _54631] : [-(convergent_lines(_54631, _54629)), -(unorthogonal_lines(_54631, _54629))], (144 ^ _49960) ^ [_54854, _54856, _54858] : [convergent_lines(_54858, _54856), unorthogonal_lines(_54858, _54856), 153 ^ _49960 : [(154 ^ _49960) ^ [] : [-(convergent_lines(_54858, _54854))], (156 ^ _49960) ^ [] : [-(unorthogonal_lines(_54858, _54854))]], 157 ^ _49960 : [(158 ^ _49960) ^ [] : [-(convergent_lines(_54856, _54854))], (160 ^ _49960) ^ [] : [-(unorthogonal_lines(_54856, _54854))]]], (162 ^ _49960) ^ [_55397, _55399] : [unorthogonal_lines(orthogonal_through_point(_55397, _55399), _55397)], (164 ^ _49960) ^ [_55493, _55495] : [apart_point_and_line(_55495, orthogonal_through_point(_55493, _55495))], (166 ^ _49960) ^ [_55613, _55615, _55617, _55619] : [distinct_lines(_55617, _55615), -(apart_point_and_line(_55619, _55617)), -(apart_point_and_line(_55619, _55615)), -(unorthogonal_lines(_55617, _55613)), -(unorthogonal_lines(_55615, _55613))], (184 ^ _49960) ^ [_56157, _56159] : [-(convergent_lines(_56159, _56157)), -(unorthogonal_lines(_56159, _56157))], (208 ^ _49960) ^ [_56951, _56953, _56955] : [convergent_lines(_56953, _56951), -(unorthogonal_lines(_56955, _56953)), -(unorthogonal_lines(_56955, _56951))], (190 ^ _49960) ^ [_56386, _56388, _56390] : [193 ^ _49960 : [(194 ^ _49960) ^ [] : [-(convergent_lines(_56390, _56388))], (196 ^ _49960) ^ [] : [-(unorthogonal_lines(_56390, _56388))]], 197 ^ _49960 : [(198 ^ _49960) ^ [] : [-(convergent_lines(_56390, _56386))], (200 ^ _49960) ^ [] : [-(unorthogonal_lines(_56390, _56386))]], convergent_lines(_56388, _56386), unorthogonal_lines(_56388, _56386)], (218 ^ _49960) ^ [_57291, _57293] : [-(line(line_connecting(_57293, _57291))), point(_57293), point(_57291), distinct_points(_57293, _57291)], (232 ^ _49960) ^ [_57679, _57681] : [-(point(intersection_point(_57681, _57679))), line(_57681), line(_57679), convergent_lines(_57681, _57679)], (246 ^ _49960) ^ [_58067, _58069] : [-(line(parallel_through_point(_58069, _58067))), line(_58069), point(_58067)], (256 ^ _49960) ^ [_58346, _58348] : [-(line(orthogonal_through_point(_58348, _58346))), line(_58348), point(_58346)], (266 ^ _49960) ^ [_58680, _58682] : [equal_points(_58682, _58680), distinct_points(_58682, _58680)], (272 ^ _49960) ^ [_58843, _58845] : [-(distinct_points(_58845, _58843)), -(equal_points(_58845, _58843))], (278 ^ _49960) ^ [_59087, _59089] : [equal_lines(_59089, _59087), distinct_lines(_59089, _59087)], (284 ^ _49960) ^ [_59250, _59252] : [-(distinct_lines(_59252, _59250)), -(equal_lines(_59252, _59250))], (290 ^ _49960) ^ [_59494, _59496] : [parallel_lines(_59496, _59494), convergent_lines(_59496, _59494)], (296 ^ _49960) ^ [_59657, _59659] : [-(convergent_lines(_59659, _59657)), -(parallel_lines(_59659, _59657))], (302 ^ _49960) ^ [_59901, _59903] : [incident_point_and_line(_59903, _59901), apart_point_and_line(_59903, _59901)], (308 ^ _49960) ^ [_60064, _60066] : [-(apart_point_and_line(_60066, _60064)), -(incident_point_and_line(_60066, _60064))], (314 ^ _49960) ^ [_60288, _60290] : [orthogonal_lines(_60290, _60288), unorthogonal_lines(_60290, _60288)], (320 ^ _49960) ^ [_60451, _60453] : [-(unorthogonal_lines(_60453, _60451)), -(orthogonal_lines(_60453, _60451))]], input).
% 0.35/1.37  ncf('1',plain,[distinct_points(325 ^ [], 325 ^ [])],start(2 ^ 0,bind([[_50063], [325 ^ []]]))).
% 0.35/1.37  ncf('1.1',plain,[-(distinct_points(325 ^ [], 325 ^ [])), distinct_points(325 ^ [], 326 ^ []), -(distinct_points(326 ^ [], 325 ^ []))],extension(8 ^ 1,bind([[_50338, _50340, _50342], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(328 ^ 2)).
% 0.35/1.37  ncf('1.1.2',plain,[distinct_points(326 ^ [], 325 ^ []), distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])))],extension(62 ^ 2,bind([[_52192, _52194, _52196, _52198], [line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ []), 325 ^ [], 326 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []))), -(equal_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ [])))],extension(284 ^ 3,bind([[_59250, _59252], [line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.35/1.37  ncf('1.1.2.1.1',plain,[equal_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []))],extension(330 ^ 4)).
% 0.35/1.37  ncf('1.1.2.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 3,bind([[_51513, _51515], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.35/1.37  ncf('1.1.2.3',plain,[apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(38 ^ 3,bind([[_51296, _51298], [325 ^ [], 326 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.3.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],reduction('1.1')).
% 0.35/1.37  ncf('1.1.2.4',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 3,bind([[_51296, _51298], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.4.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.35/1.37  ncf('1.1.2.5',plain,[apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(44 ^ 3,bind([[_51513, _51515], [325 ^ [], 326 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.5.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],reduction('1.1')).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------