%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 11:12:12 EDT 2023

% Result   : Theorem 30.72s 30.31s
% Output   : Proof 30.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.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 04:06:16 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 30.72/30.31  
% 30.72/30.31  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 30.72/30.31  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.72/30.31  %-----------------------------------------------------
% 30.72/30.31  ncf(matrix, plain, [(329 ^ _53235) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _53235) ^ [] : [-(equal_lines(326 ^ [], 327 ^ []))], (333 ^ _53235) ^ [] : [convergent_lines(325 ^ [], 327 ^ []), equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ []))], (2 ^ _53235) ^ [_53338] : [distinct_points(_53338, _53338)], (4 ^ _53235) ^ [_53415] : [distinct_lines(_53415, _53415)], (6 ^ _53235) ^ [_53492] : [convergent_lines(_53492, _53492)], (8 ^ _53235) ^ [_53613, _53615, _53617] : [distinct_points(_53617, _53615), -(distinct_points(_53617, _53613)), -(distinct_points(_53615, _53613))], (18 ^ _53235) ^ [_53937, _53939, _53941] : [distinct_lines(_53941, _53939), -(distinct_lines(_53941, _53937)), -(distinct_lines(_53939, _53937))], (28 ^ _53235) ^ [_54261, _54263, _54265] : [convergent_lines(_54265, _54263), -(convergent_lines(_54265, _54261)), -(convergent_lines(_54263, _54261))], (38 ^ _53235) ^ [_54571, _54573] : [distinct_points(_54573, _54571), apart_point_and_line(_54573, line_connecting(_54573, _54571))], (44 ^ _53235) ^ [_54788, _54790] : [distinct_points(_54790, _54788), apart_point_and_line(_54788, line_connecting(_54790, _54788))], (50 ^ _53235) ^ [_55005, _55007] : [convergent_lines(_55007, _55005), apart_point_and_line(intersection_point(_55007, _55005), _55007)], (56 ^ _53235) ^ [_55222, _55224] : [convergent_lines(_55224, _55222), apart_point_and_line(intersection_point(_55224, _55222), _55222)], (62 ^ _53235) ^ [_55467, _55469, _55471, _55473] : [distinct_points(_55473, _55471), distinct_lines(_55469, _55467), -(apart_point_and_line(_55473, _55469)), -(apart_point_and_line(_55473, _55467)), -(apart_point_and_line(_55471, _55469)), -(apart_point_and_line(_55471, _55467))], (84 ^ _53235) ^ [_56096, _56098, _56100] : [apart_point_and_line(_56100, _56098), -(distinct_points(_56100, _56096)), -(apart_point_and_line(_56096, _56098))], (94 ^ _53235) ^ [_56420, _56422, _56424] : [apart_point_and_line(_56424, _56422), -(distinct_lines(_56422, _56420)), -(apart_point_and_line(_56424, _56420))], (104 ^ _53235) ^ [_56724, _56726, _56728] : [convergent_lines(_56728, _56726), -(distinct_lines(_56726, _56724)), -(convergent_lines(_56728, _56724))], (114 ^ _53235) ^ [_57060, _57062] : [distinct_lines(_57062, _57060), -(convergent_lines(_57062, _57060))], (120 ^ _53235) ^ [_57274, _57276] : [convergent_lines(parallel_through_point(_57274, _57276), _57274)], (122 ^ _53235) ^ [_57370, _57372] : [apart_point_and_line(_57372, parallel_through_point(_57370, _57372))], (124 ^ _53235) ^ [_57476, _57478, _57480] : [distinct_lines(_57478, _57476), -(apart_point_and_line(_57480, _57478)), -(apart_point_and_line(_57480, _57476)), -(convergent_lines(_57478, _57476))], (138 ^ _53235) ^ [_57904, _57906] : [-(convergent_lines(_57906, _57904)), -(unorthogonal_lines(_57906, _57904))], (144 ^ _53235) ^ [_58129, _58131, _58133] : [convergent_lines(_58133, _58131), unorthogonal_lines(_58133, _58131), 153 ^ _53235 : [(154 ^ _53235) ^ [] : [-(convergent_lines(_58133, _58129))], (156 ^ _53235) ^ [] : [-(unorthogonal_lines(_58133, _58129))]], 157 ^ _53235 : [(158 ^ _53235) ^ [] : [-(convergent_lines(_58131, _58129))], (160 ^ _53235) ^ [] : [-(unorthogonal_lines(_58131, _58129))]]], (162 ^ _53235) ^ [_58672, _58674] : [unorthogonal_lines(orthogonal_through_point(_58672, _58674), _58672)], (164 ^ _53235) ^ [_58768, _58770] : [apart_point_and_line(_58770, orthogonal_through_point(_58768, _58770))], (166 ^ _53235) ^ [_58888, _58890, _58892, _58894] : [distinct_lines(_58892, _58890), -(apart_point_and_line(_58894, _58892)), -(apart_point_and_line(_58894, _58890)), -(unorthogonal_lines(_58892, _58888)), -(unorthogonal_lines(_58890, _58888))], (184 ^ _53235) ^ [_59432, _59434] : [-(convergent_lines(_59434, _59432)), -(unorthogonal_lines(_59434, _59432))], (208 ^ _53235) ^ [_60226, _60228, _60230] : [convergent_lines(_60228, _60226), -(unorthogonal_lines(_60230, _60228)), -(unorthogonal_lines(_60230, _60226))], (190 ^ _53235) ^ [_59661, _59663, _59665] : [193 ^ _53235 : [(194 ^ _53235) ^ [] : [-(convergent_lines(_59665, _59663))], (196 ^ _53235) ^ [] : [-(unorthogonal_lines(_59665, _59663))]], 197 ^ _53235 : [(198 ^ _53235) ^ [] : [-(convergent_lines(_59665, _59661))], (200 ^ _53235) ^ [] : [-(unorthogonal_lines(_59665, _59661))]], convergent_lines(_59663, _59661), unorthogonal_lines(_59663, _59661)], (218 ^ _53235) ^ [_60566, _60568] : [-(line(line_connecting(_60568, _60566))), point(_60568), point(_60566), distinct_points(_60568, _60566)], (232 ^ _53235) ^ [_60954, _60956] : [-(point(intersection_point(_60956, _60954))), line(_60956), line(_60954), convergent_lines(_60956, _60954)], (246 ^ _53235) ^ [_61342, _61344] : [-(line(parallel_through_point(_61344, _61342))), line(_61344), point(_61342)], (256 ^ _53235) ^ [_61621, _61623] : [-(line(orthogonal_through_point(_61623, _61621))), line(_61623), point(_61621)], (266 ^ _53235) ^ [_61955, _61957] : [equal_points(_61957, _61955), distinct_points(_61957, _61955)], (272 ^ _53235) ^ [_62118, _62120] : [-(distinct_points(_62120, _62118)), -(equal_points(_62120, _62118))], (278 ^ _53235) ^ [_62362, _62364] : [equal_lines(_62364, _62362), distinct_lines(_62364, _62362)], (284 ^ _53235) ^ [_62525, _62527] : [-(distinct_lines(_62527, _62525)), -(equal_lines(_62527, _62525))], (290 ^ _53235) ^ [_62769, _62771] : [parallel_lines(_62771, _62769), convergent_lines(_62771, _62769)], (296 ^ _53235) ^ [_62932, _62934] : [-(convergent_lines(_62934, _62932)), -(parallel_lines(_62934, _62932))], (302 ^ _53235) ^ [_63176, _63178] : [incident_point_and_line(_63178, _63176), apart_point_and_line(_63178, _63176)], (308 ^ _53235) ^ [_63339, _63341] : [-(apart_point_and_line(_63341, _63339)), -(incident_point_and_line(_63341, _63339))], (314 ^ _53235) ^ [_63563, _63565] : [orthogonal_lines(_63565, _63563), unorthogonal_lines(_63565, _63563)], (320 ^ _53235) ^ [_63726, _63728] : [-(unorthogonal_lines(_63728, _63726)), -(orthogonal_lines(_63728, _63726))]], input).
% 30.72/30.31  ncf('1',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])))],start(122 ^ 0,bind([[_57370, _57372], [326 ^ [], intersection_point(325 ^ [], 327 ^ [])]]))).
% 30.72/30.31  ncf('1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])))), apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ []), -(distinct_lines(326 ^ [], parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ []))))],extension(94 ^ 1,bind([[_56420, _56422, _56424], [parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ [], intersection_point(325 ^ [], 327 ^ [])]]))).
% 30.72/30.31  ncf('1.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 326 ^ [])), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ []))],extension(62 ^ 2,bind([[_55467, _55469, _55471, _55473], [325 ^ [], 326 ^ [], intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 30.72/30.31  ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ []))), -(equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))],extension(272 ^ 3,bind([[_62118, _62120], [intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 30.72/30.31  ncf('1.1.1.1.1',plain,[equal_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), convergent_lines(325 ^ [], 327 ^ [])],extension(333 ^ 4)).
% 30.72/30.31  ncf('1.1.1.1.1.1',plain,[-(convergent_lines(325 ^ [], 327 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(distinct_lines(326 ^ [], 327 ^ []))],extension(104 ^ 5,bind([[_56724, _56726, _56728], [327 ^ [], 326 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.1.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 6)).
% 30.72/30.31  ncf('1.1.1.1.1.1.2',plain,[distinct_lines(326 ^ [], 327 ^ []), equal_lines(326 ^ [], 327 ^ [])],extension(278 ^ 6,bind([[_62362, _62364], [327 ^ [], 326 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.1.1.1.2.1',plain,[-(equal_lines(326 ^ [], 327 ^ []))],extension(331 ^ 7)).
% 30.72/30.31  ncf('1.1.1.2',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(distinct_lines(325 ^ [], 325 ^ []))],extension(18 ^ 3,bind([[_53937, _53939, _53941], [325 ^ [], 325 ^ [], 326 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.2.1',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(distinct_lines(325 ^ [], 325 ^ []))],extension(18 ^ 4,bind([[_53937, _53939, _53941], [325 ^ [], 325 ^ [], 326 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.2.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 5,bind([[_56724, _56726, _56728], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.2.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 6)).
% 30.72/30.31  ncf('1.1.1.2.1.1.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 6,bind([[_53492], [325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.2.1.2',plain,[distinct_lines(325 ^ [], 325 ^ [])],extension(4 ^ 5,bind([[_53415], [325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.2.2',plain,[distinct_lines(325 ^ [], 325 ^ [])],extension(4 ^ 4,bind([[_53415], [325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 3,bind([[_55222, _55224], [326 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.3.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 30.72/30.31  ncf('1.1.1.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 3,bind([[_55005, _55007], [326 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.4.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 30.72/30.31  ncf('1.1.1.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ []), convergent_lines(325 ^ [], 327 ^ [])],extension(50 ^ 3,bind([[_55005, _55007], [327 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.5.1',plain,[-(convergent_lines(325 ^ [], 327 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(distinct_lines(326 ^ [], 327 ^ []))],extension(104 ^ 4,bind([[_56724, _56726, _56728], [327 ^ [], 326 ^ [], 325 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.5.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 5)).
% 30.72/30.31  ncf('1.1.1.5.1.2',plain,[distinct_lines(326 ^ [], 327 ^ []), equal_lines(326 ^ [], 327 ^ [])],extension(278 ^ 5,bind([[_62362, _62364], [327 ^ [], 326 ^ []]]))).
% 30.72/30.31  ncf('1.1.1.5.1.2.1',plain,[-(equal_lines(326 ^ [], 327 ^ []))],extension(331 ^ 6)).
% 30.72/30.31  ncf('1.1.2',plain,[distinct_lines(326 ^ [], parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ []))), -(distinct_lines(326 ^ [], 326 ^ [])), -(distinct_lines(parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ []))],extension(18 ^ 2,bind([[_53937, _53939, _53941], [326 ^ [], parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ []]]))).
% 30.72/30.31  ncf('1.1.2.1',plain,[distinct_lines(326 ^ [], 326 ^ [])],extension(4 ^ 3,bind([[_53415], [326 ^ []]]))).
% 30.72/30.31  ncf('1.1.2.2',plain,[distinct_lines(parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ []), -(convergent_lines(parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ []))],extension(114 ^ 3,bind([[_57060, _57062], [326 ^ [], parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ []))]]))).
% 30.72/30.31  ncf('1.1.2.2.1',plain,[convergent_lines(parallel_through_point(326 ^ [], intersection_point(325 ^ [], 327 ^ [])), 326 ^ [])],extension(120 ^ 4,bind([[_57274, _57276], [326 ^ [], intersection_point(325 ^ [], 327 ^ [])]]))).
% 30.72/30.31  %-----------------------------------------------------
% 30.72/30.31  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------