%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:12:16 EDT 2023

% Result   : Theorem 1.08s 1.37s
% Output   : Proof 1.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 04:39:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.08/1.37  
% 1.08/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.08/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.37  %-----------------------------------------------------
% 1.08/1.37  ncf(matrix, plain, [(329 ^ _50511) ^ [] : [-(parallel_lines(325 ^ [], 326 ^ []))], (331 ^ _50511) ^ [] : [-(parallel_lines(325 ^ [], 327 ^ []))], (333 ^ _50511) ^ [] : [parallel_lines(326 ^ [], 327 ^ [])], (2 ^ _50511) ^ [_50614] : [distinct_points(_50614, _50614)], (4 ^ _50511) ^ [_50691] : [distinct_lines(_50691, _50691)], (6 ^ _50511) ^ [_50768] : [convergent_lines(_50768, _50768)], (8 ^ _50511) ^ [_50889, _50891, _50893] : [distinct_points(_50893, _50891), -(distinct_points(_50893, _50889)), -(distinct_points(_50891, _50889))], (18 ^ _50511) ^ [_51213, _51215, _51217] : [distinct_lines(_51217, _51215), -(distinct_lines(_51217, _51213)), -(distinct_lines(_51215, _51213))], (28 ^ _50511) ^ [_51537, _51539, _51541] : [convergent_lines(_51541, _51539), -(convergent_lines(_51541, _51537)), -(convergent_lines(_51539, _51537))], (38 ^ _50511) ^ [_51847, _51849] : [distinct_points(_51849, _51847), apart_point_and_line(_51849, line_connecting(_51849, _51847))], (44 ^ _50511) ^ [_52064, _52066] : [distinct_points(_52066, _52064), apart_point_and_line(_52064, line_connecting(_52066, _52064))], (50 ^ _50511) ^ [_52281, _52283] : [convergent_lines(_52283, _52281), apart_point_and_line(intersection_point(_52283, _52281), _52283)], (56 ^ _50511) ^ [_52498, _52500] : [convergent_lines(_52500, _52498), apart_point_and_line(intersection_point(_52500, _52498), _52498)], (62 ^ _50511) ^ [_52743, _52745, _52747, _52749] : [distinct_points(_52749, _52747), distinct_lines(_52745, _52743), -(apart_point_and_line(_52749, _52745)), -(apart_point_and_line(_52749, _52743)), -(apart_point_and_line(_52747, _52745)), -(apart_point_and_line(_52747, _52743))], (84 ^ _50511) ^ [_53372, _53374, _53376] : [apart_point_and_line(_53376, _53374), -(distinct_points(_53376, _53372)), -(apart_point_and_line(_53372, _53374))], (94 ^ _50511) ^ [_53696, _53698, _53700] : [apart_point_and_line(_53700, _53698), -(distinct_lines(_53698, _53696)), -(apart_point_and_line(_53700, _53696))], (104 ^ _50511) ^ [_54000, _54002, _54004] : [convergent_lines(_54004, _54002), -(distinct_lines(_54002, _54000)), -(convergent_lines(_54004, _54000))], (114 ^ _50511) ^ [_54336, _54338] : [distinct_lines(_54338, _54336), -(convergent_lines(_54338, _54336))], (120 ^ _50511) ^ [_54550, _54552] : [convergent_lines(parallel_through_point(_54550, _54552), _54550)], (122 ^ _50511) ^ [_54646, _54648] : [apart_point_and_line(_54648, parallel_through_point(_54646, _54648))], (124 ^ _50511) ^ [_54752, _54754, _54756] : [distinct_lines(_54754, _54752), -(apart_point_and_line(_54756, _54754)), -(apart_point_and_line(_54756, _54752)), -(convergent_lines(_54754, _54752))], (138 ^ _50511) ^ [_55180, _55182] : [-(convergent_lines(_55182, _55180)), -(unorthogonal_lines(_55182, _55180))], (144 ^ _50511) ^ [_55405, _55407, _55409] : [convergent_lines(_55409, _55407), unorthogonal_lines(_55409, _55407), 153 ^ _50511 : [(154 ^ _50511) ^ [] : [-(convergent_lines(_55409, _55405))], (156 ^ _50511) ^ [] : [-(unorthogonal_lines(_55409, _55405))]], 157 ^ _50511 : [(158 ^ _50511) ^ [] : [-(convergent_lines(_55407, _55405))], (160 ^ _50511) ^ [] : [-(unorthogonal_lines(_55407, _55405))]]], (162 ^ _50511) ^ [_55948, _55950] : [unorthogonal_lines(orthogonal_through_point(_55948, _55950), _55948)], (164 ^ _50511) ^ [_56044, _56046] : [apart_point_and_line(_56046, orthogonal_through_point(_56044, _56046))], (166 ^ _50511) ^ [_56164, _56166, _56168, _56170] : [distinct_lines(_56168, _56166), -(apart_point_and_line(_56170, _56168)), -(apart_point_and_line(_56170, _56166)), -(unorthogonal_lines(_56168, _56164)), -(unorthogonal_lines(_56166, _56164))], (184 ^ _50511) ^ [_56708, _56710] : [-(convergent_lines(_56710, _56708)), -(unorthogonal_lines(_56710, _56708))], (208 ^ _50511) ^ [_57502, _57504, _57506] : [convergent_lines(_57504, _57502), -(unorthogonal_lines(_57506, _57504)), -(unorthogonal_lines(_57506, _57502))], (190 ^ _50511) ^ [_56937, _56939, _56941] : [193 ^ _50511 : [(194 ^ _50511) ^ [] : [-(convergent_lines(_56941, _56939))], (196 ^ _50511) ^ [] : [-(unorthogonal_lines(_56941, _56939))]], 197 ^ _50511 : [(198 ^ _50511) ^ [] : [-(convergent_lines(_56941, _56937))], (200 ^ _50511) ^ [] : [-(unorthogonal_lines(_56941, _56937))]], convergent_lines(_56939, _56937), unorthogonal_lines(_56939, _56937)], (218 ^ _50511) ^ [_57842, _57844] : [-(line(line_connecting(_57844, _57842))), point(_57844), point(_57842), distinct_points(_57844, _57842)], (232 ^ _50511) ^ [_58230, _58232] : [-(point(intersection_point(_58232, _58230))), line(_58232), line(_58230), convergent_lines(_58232, _58230)], (246 ^ _50511) ^ [_58618, _58620] : [-(line(parallel_through_point(_58620, _58618))), line(_58620), point(_58618)], (256 ^ _50511) ^ [_58897, _58899] : [-(line(orthogonal_through_point(_58899, _58897))), line(_58899), point(_58897)], (266 ^ _50511) ^ [_59231, _59233] : [equal_points(_59233, _59231), distinct_points(_59233, _59231)], (272 ^ _50511) ^ [_59394, _59396] : [-(distinct_points(_59396, _59394)), -(equal_points(_59396, _59394))], (278 ^ _50511) ^ [_59638, _59640] : [equal_lines(_59640, _59638), distinct_lines(_59640, _59638)], (284 ^ _50511) ^ [_59801, _59803] : [-(distinct_lines(_59803, _59801)), -(equal_lines(_59803, _59801))], (290 ^ _50511) ^ [_60045, _60047] : [parallel_lines(_60047, _60045), convergent_lines(_60047, _60045)], (296 ^ _50511) ^ [_60208, _60210] : [-(convergent_lines(_60210, _60208)), -(parallel_lines(_60210, _60208))], (302 ^ _50511) ^ [_60452, _60454] : [incident_point_and_line(_60454, _60452), apart_point_and_line(_60454, _60452)], (308 ^ _50511) ^ [_60615, _60617] : [-(apart_point_and_line(_60617, _60615)), -(incident_point_and_line(_60617, _60615))], (314 ^ _50511) ^ [_60839, _60841] : [orthogonal_lines(_60841, _60839), unorthogonal_lines(_60841, _60839)], (320 ^ _50511) ^ [_61002, _61004] : [-(unorthogonal_lines(_61004, _61002)), -(orthogonal_lines(_61004, _61002))]], input).
% 1.08/1.37  ncf('1',plain,[parallel_lines(325 ^ [], 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],start(290 ^ 0,bind([[_60045, _60047], [326 ^ [], 325 ^ []]]))).
% 1.08/1.37  ncf('1.1',plain,[-(parallel_lines(325 ^ [], 326 ^ []))],extension(329 ^ 1)).
% 1.08/1.37  ncf('1.2',plain,[-(convergent_lines(325 ^ [], 326 ^ [])), convergent_lines(326 ^ [], 325 ^ []), -(convergent_lines(326 ^ [], 326 ^ []))],extension(28 ^ 1,bind([[_51537, _51539, _51541], [326 ^ [], 325 ^ [], 326 ^ []]]))).
% 1.08/1.37  ncf('1.2.1',plain,[-(convergent_lines(326 ^ [], 325 ^ [])), convergent_lines(326 ^ [], 327 ^ []), -(convergent_lines(327 ^ [], 325 ^ []))],extension(28 ^ 2,bind([[_51537, _51539, _51541], [325 ^ [], 327 ^ [], 326 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.1',plain,[-(convergent_lines(326 ^ [], 327 ^ [])), convergent_lines(326 ^ [], 327 ^ []), -(convergent_lines(327 ^ [], 327 ^ []))],extension(28 ^ 3,bind([[_51537, _51539, _51541], [327 ^ [], 327 ^ [], 326 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.1.1',plain,[-(convergent_lines(326 ^ [], 327 ^ [])), -(parallel_lines(326 ^ [], 327 ^ []))],extension(296 ^ 4,bind([[_60208, _60210], [327 ^ [], 326 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.1.1.1',plain,[parallel_lines(326 ^ [], 327 ^ [])],extension(333 ^ 5)).
% 1.08/1.37  ncf('1.2.1.1.2',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 4,bind([[_50768], [327 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.2',plain,[convergent_lines(327 ^ [], 325 ^ []), -(convergent_lines(327 ^ [], 327 ^ [])), -(convergent_lines(325 ^ [], 327 ^ []))],extension(28 ^ 3,bind([[_51537, _51539, _51541], [327 ^ [], 325 ^ [], 327 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.2.1',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 4,bind([[_50768], [327 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.2.2',plain,[convergent_lines(325 ^ [], 327 ^ []), parallel_lines(325 ^ [], 327 ^ [])],extension(290 ^ 4,bind([[_60045, _60047], [327 ^ [], 325 ^ []]]))).
% 1.08/1.37  ncf('1.2.1.2.2.1',plain,[-(parallel_lines(325 ^ [], 327 ^ []))],extension(331 ^ 5)).
% 1.08/1.37  ncf('1.2.2',plain,[convergent_lines(326 ^ [], 326 ^ [])],extension(6 ^ 2,bind([[_50768], [326 ^ []]]))).
% 1.08/1.37  %-----------------------------------------------------
% 1.08/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------