%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 11:12:05 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 04:21:14 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(329 ^ _51497) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _51497) ^ [] : [-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (333 ^ _51497) ^ [] : [distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 325 ^ [])), distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 326 ^ []))], (2 ^ _51497) ^ [_51600] : [distinct_points(_51600, _51600)], (4 ^ _51497) ^ [_51677] : [distinct_lines(_51677, _51677)], (6 ^ _51497) ^ [_51754] : [convergent_lines(_51754, _51754)], (8 ^ _51497) ^ [_51875, _51877, _51879] : [distinct_points(_51879, _51877), -(distinct_points(_51879, _51875)), -(distinct_points(_51877, _51875))], (18 ^ _51497) ^ [_52199, _52201, _52203] : [distinct_lines(_52203, _52201), -(distinct_lines(_52203, _52199)), -(distinct_lines(_52201, _52199))], (28 ^ _51497) ^ [_52523, _52525, _52527] : [convergent_lines(_52527, _52525), -(convergent_lines(_52527, _52523)), -(convergent_lines(_52525, _52523))], (38 ^ _51497) ^ [_52833, _52835] : [distinct_points(_52835, _52833), apart_point_and_line(_52835, line_connecting(_52835, _52833))], (44 ^ _51497) ^ [_53050, _53052] : [distinct_points(_53052, _53050), apart_point_and_line(_53050, line_connecting(_53052, _53050))], (50 ^ _51497) ^ [_53267, _53269] : [convergent_lines(_53269, _53267), apart_point_and_line(intersection_point(_53269, _53267), _53269)], (56 ^ _51497) ^ [_53484, _53486] : [convergent_lines(_53486, _53484), apart_point_and_line(intersection_point(_53486, _53484), _53484)], (62 ^ _51497) ^ [_53729, _53731, _53733, _53735] : [distinct_points(_53735, _53733), distinct_lines(_53731, _53729), -(apart_point_and_line(_53735, _53731)), -(apart_point_and_line(_53735, _53729)), -(apart_point_and_line(_53733, _53731)), -(apart_point_and_line(_53733, _53729))], (84 ^ _51497) ^ [_54358, _54360, _54362] : [apart_point_and_line(_54362, _54360), -(distinct_points(_54362, _54358)), -(apart_point_and_line(_54358, _54360))], (94 ^ _51497) ^ [_54682, _54684, _54686] : [apart_point_and_line(_54686, _54684), -(distinct_lines(_54684, _54682)), -(apart_point_and_line(_54686, _54682))], (104 ^ _51497) ^ [_54986, _54988, _54990] : [convergent_lines(_54990, _54988), -(distinct_lines(_54988, _54986)), -(convergent_lines(_54990, _54986))], (114 ^ _51497) ^ [_55322, _55324] : [distinct_lines(_55324, _55322), -(convergent_lines(_55324, _55322))], (120 ^ _51497) ^ [_55536, _55538] : [convergent_lines(parallel_through_point(_55536, _55538), _55536)], (122 ^ _51497) ^ [_55632, _55634] : [apart_point_and_line(_55634, parallel_through_point(_55632, _55634))], (124 ^ _51497) ^ [_55738, _55740, _55742] : [distinct_lines(_55740, _55738), -(apart_point_and_line(_55742, _55740)), -(apart_point_and_line(_55742, _55738)), -(convergent_lines(_55740, _55738))], (138 ^ _51497) ^ [_56166, _56168] : [-(convergent_lines(_56168, _56166)), -(unorthogonal_lines(_56168, _56166))], (144 ^ _51497) ^ [_56391, _56393, _56395] : [convergent_lines(_56395, _56393), unorthogonal_lines(_56395, _56393), 153 ^ _51497 : [(154 ^ _51497) ^ [] : [-(convergent_lines(_56395, _56391))], (156 ^ _51497) ^ [] : [-(unorthogonal_lines(_56395, _56391))]], 157 ^ _51497 : [(158 ^ _51497) ^ [] : [-(convergent_lines(_56393, _56391))], (160 ^ _51497) ^ [] : [-(unorthogonal_lines(_56393, _56391))]]], (162 ^ _51497) ^ [_56934, _56936] : [unorthogonal_lines(orthogonal_through_point(_56934, _56936), _56934)], (164 ^ _51497) ^ [_57030, _57032] : [apart_point_and_line(_57032, orthogonal_through_point(_57030, _57032))], (166 ^ _51497) ^ [_57150, _57152, _57154, _57156] : [distinct_lines(_57154, _57152), -(apart_point_and_line(_57156, _57154)), -(apart_point_and_line(_57156, _57152)), -(unorthogonal_lines(_57154, _57150)), -(unorthogonal_lines(_57152, _57150))], (184 ^ _51497) ^ [_57694, _57696] : [-(convergent_lines(_57696, _57694)), -(unorthogonal_lines(_57696, _57694))], (208 ^ _51497) ^ [_58488, _58490, _58492] : [convergent_lines(_58490, _58488), -(unorthogonal_lines(_58492, _58490)), -(unorthogonal_lines(_58492, _58488))], (190 ^ _51497) ^ [_57923, _57925, _57927] : [193 ^ _51497 : [(194 ^ _51497) ^ [] : [-(convergent_lines(_57927, _57925))], (196 ^ _51497) ^ [] : [-(unorthogonal_lines(_57927, _57925))]], 197 ^ _51497 : [(198 ^ _51497) ^ [] : [-(convergent_lines(_57927, _57923))], (200 ^ _51497) ^ [] : [-(unorthogonal_lines(_57927, _57923))]], convergent_lines(_57925, _57923), unorthogonal_lines(_57925, _57923)], (218 ^ _51497) ^ [_58828, _58830] : [-(line(line_connecting(_58830, _58828))), point(_58830), point(_58828), distinct_points(_58830, _58828)], (232 ^ _51497) ^ [_59216, _59218] : [-(point(intersection_point(_59218, _59216))), line(_59218), line(_59216), convergent_lines(_59218, _59216)], (246 ^ _51497) ^ [_59604, _59606] : [-(line(parallel_through_point(_59606, _59604))), line(_59606), point(_59604)], (256 ^ _51497) ^ [_59883, _59885] : [-(line(orthogonal_through_point(_59885, _59883))), line(_59885), point(_59883)], (266 ^ _51497) ^ [_60217, _60219] : [equal_points(_60219, _60217), distinct_points(_60219, _60217)], (272 ^ _51497) ^ [_60380, _60382] : [-(distinct_points(_60382, _60380)), -(equal_points(_60382, _60380))], (278 ^ _51497) ^ [_60624, _60626] : [equal_lines(_60626, _60624), distinct_lines(_60626, _60624)], (284 ^ _51497) ^ [_60787, _60789] : [-(distinct_lines(_60789, _60787)), -(equal_lines(_60789, _60787))], (290 ^ _51497) ^ [_61031, _61033] : [parallel_lines(_61033, _61031), convergent_lines(_61033, _61031)], (296 ^ _51497) ^ [_61194, _61196] : [-(convergent_lines(_61196, _61194)), -(parallel_lines(_61196, _61194))], (302 ^ _51497) ^ [_61438, _61440] : [incident_point_and_line(_61440, _61438), apart_point_and_line(_61440, _61438)], (308 ^ _51497) ^ [_61601, _61603] : [-(apart_point_and_line(_61603, _61601)), -(incident_point_and_line(_61603, _61601))], (314 ^ _51497) ^ [_61825, _61827] : [orthogonal_lines(_61827, _61825), unorthogonal_lines(_61827, _61825)], (320 ^ _51497) ^ [_61988, _61990] : [-(unorthogonal_lines(_61990, _61988)), -(orthogonal_lines(_61990, _61988))]], input).
% 0.34/1.38  ncf('1',plain,[distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 325 ^ [])), distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 326 ^ []))],start(333 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 325 ^ []))), distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(327 ^ [], 325 ^ [])))],extension(18 ^ 1,bind([[_52199, _52201, _52203], [line_connecting(327 ^ [], 325 ^ []), parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []))), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ [])))],extension(94 ^ 2,bind([[_54682, _54684, _54686], [parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.1.1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 3)).
% 0.34/1.38  ncf('1.1.1.2',plain,[apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []))],extension(122 ^ 3,bind([[_55632, _55634], [line_connecting(327 ^ [], 325 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.1.2',plain,[distinct_lines(parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(327 ^ [], 325 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(327 ^ [], 325 ^ [])))],extension(114 ^ 2,bind([[_55322, _55324], [line_connecting(327 ^ [], 325 ^ []), parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ [])]]))).
% 0.34/1.38  ncf('1.1.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(327 ^ [], 325 ^ []), 327 ^ []), line_connecting(327 ^ [], 325 ^ []))],extension(120 ^ 3,bind([[_55536, _55538], [line_connecting(327 ^ [], 325 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.2',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(327 ^ [], 326 ^ []))), distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(327 ^ [], 326 ^ [])))],extension(18 ^ 1,bind([[_52199, _52201, _52203], [line_connecting(327 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.34/1.38  ncf('1.2.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []))), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ [])))],extension(94 ^ 2,bind([[_54682, _54684, _54686], [parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.2.1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 3)).
% 0.34/1.38  ncf('1.2.1.2',plain,[apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []))],extension(122 ^ 3,bind([[_55632, _55634], [line_connecting(327 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.2.2',plain,[distinct_lines(parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(327 ^ [], 326 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(327 ^ [], 326 ^ [])))],extension(114 ^ 2,bind([[_55322, _55324], [line_connecting(327 ^ [], 326 ^ []), parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ [])]]))).
% 0.34/1.38  ncf('1.2.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(327 ^ [], 326 ^ []), 327 ^ []), line_connecting(327 ^ [], 326 ^ []))],extension(120 ^ 3,bind([[_55536, _55538], [line_connecting(327 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------