%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 0.41s 1.37s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n017.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 03:38:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.41/1.37  
% 0.41/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  ncf(matrix, plain, [(328 ^ _50521) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (330 ^ _50521) ^ [] : [equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ []))], (2 ^ _50521) ^ [_50624] : [distinct_points(_50624, _50624)], (4 ^ _50521) ^ [_50701] : [distinct_lines(_50701, _50701)], (6 ^ _50521) ^ [_50778] : [convergent_lines(_50778, _50778)], (8 ^ _50521) ^ [_50899, _50901, _50903] : [distinct_points(_50903, _50901), -(distinct_points(_50903, _50899)), -(distinct_points(_50901, _50899))], (18 ^ _50521) ^ [_51223, _51225, _51227] : [distinct_lines(_51227, _51225), -(distinct_lines(_51227, _51223)), -(distinct_lines(_51225, _51223))], (28 ^ _50521) ^ [_51547, _51549, _51551] : [convergent_lines(_51551, _51549), -(convergent_lines(_51551, _51547)), -(convergent_lines(_51549, _51547))], (38 ^ _50521) ^ [_51857, _51859] : [distinct_points(_51859, _51857), apart_point_and_line(_51859, line_connecting(_51859, _51857))], (44 ^ _50521) ^ [_52074, _52076] : [distinct_points(_52076, _52074), apart_point_and_line(_52074, line_connecting(_52076, _52074))], (50 ^ _50521) ^ [_52291, _52293] : [convergent_lines(_52293, _52291), apart_point_and_line(intersection_point(_52293, _52291), _52293)], (56 ^ _50521) ^ [_52508, _52510] : [convergent_lines(_52510, _52508), apart_point_and_line(intersection_point(_52510, _52508), _52508)], (62 ^ _50521) ^ [_52753, _52755, _52757, _52759] : [distinct_points(_52759, _52757), distinct_lines(_52755, _52753), -(apart_point_and_line(_52759, _52755)), -(apart_point_and_line(_52759, _52753)), -(apart_point_and_line(_52757, _52755)), -(apart_point_and_line(_52757, _52753))], (84 ^ _50521) ^ [_53382, _53384, _53386] : [apart_point_and_line(_53386, _53384), -(distinct_points(_53386, _53382)), -(apart_point_and_line(_53382, _53384))], (94 ^ _50521) ^ [_53706, _53708, _53710] : [apart_point_and_line(_53710, _53708), -(distinct_lines(_53708, _53706)), -(apart_point_and_line(_53710, _53706))], (104 ^ _50521) ^ [_54010, _54012, _54014] : [convergent_lines(_54014, _54012), -(distinct_lines(_54012, _54010)), -(convergent_lines(_54014, _54010))], (114 ^ _50521) ^ [_54346, _54348] : [distinct_lines(_54348, _54346), -(convergent_lines(_54348, _54346))], (120 ^ _50521) ^ [_54560, _54562] : [convergent_lines(parallel_through_point(_54560, _54562), _54560)], (122 ^ _50521) ^ [_54656, _54658] : [apart_point_and_line(_54658, parallel_through_point(_54656, _54658))], (124 ^ _50521) ^ [_54762, _54764, _54766] : [distinct_lines(_54764, _54762), -(apart_point_and_line(_54766, _54764)), -(apart_point_and_line(_54766, _54762)), -(convergent_lines(_54764, _54762))], (138 ^ _50521) ^ [_55190, _55192] : [-(convergent_lines(_55192, _55190)), -(unorthogonal_lines(_55192, _55190))], (144 ^ _50521) ^ [_55415, _55417, _55419] : [convergent_lines(_55419, _55417), unorthogonal_lines(_55419, _55417), 153 ^ _50521 : [(154 ^ _50521) ^ [] : [-(convergent_lines(_55419, _55415))], (156 ^ _50521) ^ [] : [-(unorthogonal_lines(_55419, _55415))]], 157 ^ _50521 : [(158 ^ _50521) ^ [] : [-(convergent_lines(_55417, _55415))], (160 ^ _50521) ^ [] : [-(unorthogonal_lines(_55417, _55415))]]], (162 ^ _50521) ^ [_55958, _55960] : [unorthogonal_lines(orthogonal_through_point(_55958, _55960), _55958)], (164 ^ _50521) ^ [_56054, _56056] : [apart_point_and_line(_56056, orthogonal_through_point(_56054, _56056))], (166 ^ _50521) ^ [_56174, _56176, _56178, _56180] : [distinct_lines(_56178, _56176), -(apart_point_and_line(_56180, _56178)), -(apart_point_and_line(_56180, _56176)), -(unorthogonal_lines(_56178, _56174)), -(unorthogonal_lines(_56176, _56174))], (184 ^ _50521) ^ [_56718, _56720] : [-(convergent_lines(_56720, _56718)), -(unorthogonal_lines(_56720, _56718))], (208 ^ _50521) ^ [_57512, _57514, _57516] : [convergent_lines(_57514, _57512), -(unorthogonal_lines(_57516, _57514)), -(unorthogonal_lines(_57516, _57512))], (190 ^ _50521) ^ [_56947, _56949, _56951] : [193 ^ _50521 : [(194 ^ _50521) ^ [] : [-(convergent_lines(_56951, _56949))], (196 ^ _50521) ^ [] : [-(unorthogonal_lines(_56951, _56949))]], 197 ^ _50521 : [(198 ^ _50521) ^ [] : [-(convergent_lines(_56951, _56947))], (200 ^ _50521) ^ [] : [-(unorthogonal_lines(_56951, _56947))]], convergent_lines(_56949, _56947), unorthogonal_lines(_56949, _56947)], (218 ^ _50521) ^ [_57852, _57854] : [-(line(line_connecting(_57854, _57852))), point(_57854), point(_57852), distinct_points(_57854, _57852)], (232 ^ _50521) ^ [_58240, _58242] : [-(point(intersection_point(_58242, _58240))), line(_58242), line(_58240), convergent_lines(_58242, _58240)], (246 ^ _50521) ^ [_58628, _58630] : [-(line(parallel_through_point(_58630, _58628))), line(_58630), point(_58628)], (256 ^ _50521) ^ [_58907, _58909] : [-(line(orthogonal_through_point(_58909, _58907))), line(_58909), point(_58907)], (266 ^ _50521) ^ [_59241, _59243] : [equal_points(_59243, _59241), distinct_points(_59243, _59241)], (272 ^ _50521) ^ [_59404, _59406] : [-(distinct_points(_59406, _59404)), -(equal_points(_59406, _59404))], (278 ^ _50521) ^ [_59648, _59650] : [equal_lines(_59650, _59648), distinct_lines(_59650, _59648)], (284 ^ _50521) ^ [_59811, _59813] : [-(distinct_lines(_59813, _59811)), -(equal_lines(_59813, _59811))], (290 ^ _50521) ^ [_60055, _60057] : [parallel_lines(_60057, _60055), convergent_lines(_60057, _60055)], (296 ^ _50521) ^ [_60218, _60220] : [-(convergent_lines(_60220, _60218)), -(parallel_lines(_60220, _60218))], (302 ^ _50521) ^ [_60462, _60464] : [incident_point_and_line(_60464, _60462), apart_point_and_line(_60464, _60462)], (308 ^ _50521) ^ [_60625, _60627] : [-(apart_point_and_line(_60627, _60625)), -(incident_point_and_line(_60627, _60625))], (314 ^ _50521) ^ [_60849, _60851] : [orthogonal_lines(_60851, _60849), unorthogonal_lines(_60851, _60849)], (320 ^ _50521) ^ [_61012, _61014] : [-(unorthogonal_lines(_61014, _61012)), -(orthogonal_lines(_61014, _61012))]], input).
% 0.41/1.37  ncf('1',plain,[convergent_lines(325 ^ [], 326 ^ []), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])],start(50 ^ 0,bind([[_52291, _52293], [326 ^ [], 325 ^ []]]))).
% 0.41/1.37  ncf('1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(328 ^ 1)).
% 0.41/1.37  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(62 ^ 1,bind([[_52753, _52755, _52757, _52759], [325 ^ [], 326 ^ [], intersection_point(326 ^ [], 325 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.41/1.37  ncf('1.2.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ []))), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ [])), -(distinct_points(intersection_point(326 ^ [], 325 ^ []), intersection_point(326 ^ [], 325 ^ [])))],extension(8 ^ 2,bind([[_50899, _50901, _50903], [intersection_point(326 ^ [], 325 ^ []), intersection_point(326 ^ [], 325 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.41/1.37  ncf('1.2.1.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ []))), -(equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ [])))],extension(272 ^ 3,bind([[_59404, _59406], [intersection_point(326 ^ [], 325 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.41/1.37  ncf('1.2.1.1.1',plain,[equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ []))],extension(330 ^ 4)).
% 0.41/1.37  ncf('1.2.1.2',plain,[distinct_points(intersection_point(326 ^ [], 325 ^ []), intersection_point(326 ^ [], 325 ^ []))],extension(2 ^ 3,bind([[_50624], [intersection_point(326 ^ [], 325 ^ [])]]))).
% 0.41/1.37  ncf('1.2.2',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 2,bind([[_54010, _54012, _54014], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.41/1.37  ncf('1.2.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(328 ^ 3)).
% 0.41/1.37  ncf('1.2.2.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 3,bind([[_50778], [325 ^ []]]))).
% 0.41/1.37  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 2,bind([[_52508, _52510], [326 ^ [], 325 ^ []]]))).
% 0.41/1.37  ncf('1.2.3.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],lemmata('x')).
% 0.41/1.37  ncf('1.2.4',plain,[apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 326 ^ []), convergent_lines(326 ^ [], 325 ^ [])],extension(50 ^ 2,bind([[_52291, _52293], [325 ^ [], 326 ^ []]]))).
% 0.41/1.37  ncf('1.2.4.1',plain,[-(convergent_lines(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ [])],extension(114 ^ 3,bind([[_54346, _54348], [325 ^ [], 326 ^ []]]))).
% 0.41/1.37  ncf('1.2.4.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ []))],lemmata('[1].x')).
% 0.41/1.37  ncf('1.2.5',plain,[apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 325 ^ []), convergent_lines(326 ^ [], 325 ^ [])],extension(56 ^ 2,bind([[_52508, _52510], [325 ^ [], 326 ^ []]]))).
% 0.41/1.37  ncf('1.2.5.1',plain,[-(convergent_lines(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ [])],extension(114 ^ 3,bind([[_54346, _54348], [325 ^ [], 326 ^ []]]))).
% 0.41/1.37  ncf('1.2.5.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ []))],lemmata('[1].x')).
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------