%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO192+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:12:08 EDT 2023

% Result   : Theorem 0.33s 1.34s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO192+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10  % Command  : nanocop.sh %s %d
% 0.09/0.29  % Computer : n024.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri May 19 04:39:36 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.33/1.34  
% 0.33/1.34  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.34  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.34  %-----------------------------------------------------
% 0.33/1.34  ncf(matrix, plain, [(329 ^ _50715) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _50715) ^ [] : [-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (333 ^ _50715) ^ [] : [distinct_lines(325 ^ [], 327 ^ []), distinct_lines(326 ^ [], 327 ^ [])], (2 ^ _50715) ^ [_50818] : [distinct_points(_50818, _50818)], (4 ^ _50715) ^ [_50895] : [distinct_lines(_50895, _50895)], (6 ^ _50715) ^ [_50972] : [convergent_lines(_50972, _50972)], (8 ^ _50715) ^ [_51093, _51095, _51097] : [distinct_points(_51097, _51095), -(distinct_points(_51097, _51093)), -(distinct_points(_51095, _51093))], (18 ^ _50715) ^ [_51417, _51419, _51421] : [distinct_lines(_51421, _51419), -(distinct_lines(_51421, _51417)), -(distinct_lines(_51419, _51417))], (28 ^ _50715) ^ [_51741, _51743, _51745] : [convergent_lines(_51745, _51743), -(convergent_lines(_51745, _51741)), -(convergent_lines(_51743, _51741))], (38 ^ _50715) ^ [_52051, _52053] : [distinct_points(_52053, _52051), apart_point_and_line(_52053, line_connecting(_52053, _52051))], (44 ^ _50715) ^ [_52268, _52270] : [distinct_points(_52270, _52268), apart_point_and_line(_52268, line_connecting(_52270, _52268))], (50 ^ _50715) ^ [_52485, _52487] : [convergent_lines(_52487, _52485), apart_point_and_line(intersection_point(_52487, _52485), _52487)], (56 ^ _50715) ^ [_52702, _52704] : [convergent_lines(_52704, _52702), apart_point_and_line(intersection_point(_52704, _52702), _52702)], (62 ^ _50715) ^ [_52947, _52949, _52951, _52953] : [distinct_points(_52953, _52951), distinct_lines(_52949, _52947), -(apart_point_and_line(_52953, _52949)), -(apart_point_and_line(_52953, _52947)), -(apart_point_and_line(_52951, _52949)), -(apart_point_and_line(_52951, _52947))], (84 ^ _50715) ^ [_53576, _53578, _53580] : [apart_point_and_line(_53580, _53578), -(distinct_points(_53580, _53576)), -(apart_point_and_line(_53576, _53578))], (94 ^ _50715) ^ [_53900, _53902, _53904] : [apart_point_and_line(_53904, _53902), -(distinct_lines(_53902, _53900)), -(apart_point_and_line(_53904, _53900))], (104 ^ _50715) ^ [_54204, _54206, _54208] : [convergent_lines(_54208, _54206), -(distinct_lines(_54206, _54204)), -(convergent_lines(_54208, _54204))], (114 ^ _50715) ^ [_54540, _54542] : [distinct_lines(_54542, _54540), -(convergent_lines(_54542, _54540))], (120 ^ _50715) ^ [_54754, _54756] : [convergent_lines(parallel_through_point(_54754, _54756), _54754)], (122 ^ _50715) ^ [_54850, _54852] : [apart_point_and_line(_54852, parallel_through_point(_54850, _54852))], (124 ^ _50715) ^ [_54956, _54958, _54960] : [distinct_lines(_54958, _54956), -(apart_point_and_line(_54960, _54958)), -(apart_point_and_line(_54960, _54956)), -(convergent_lines(_54958, _54956))], (138 ^ _50715) ^ [_55384, _55386] : [-(convergent_lines(_55386, _55384)), -(unorthogonal_lines(_55386, _55384))], (144 ^ _50715) ^ [_55609, _55611, _55613] : [convergent_lines(_55613, _55611), unorthogonal_lines(_55613, _55611), 153 ^ _50715 : [(154 ^ _50715) ^ [] : [-(convergent_lines(_55613, _55609))], (156 ^ _50715) ^ [] : [-(unorthogonal_lines(_55613, _55609))]], 157 ^ _50715 : [(158 ^ _50715) ^ [] : [-(convergent_lines(_55611, _55609))], (160 ^ _50715) ^ [] : [-(unorthogonal_lines(_55611, _55609))]]], (162 ^ _50715) ^ [_56152, _56154] : [unorthogonal_lines(orthogonal_through_point(_56152, _56154), _56152)], (164 ^ _50715) ^ [_56248, _56250] : [apart_point_and_line(_56250, orthogonal_through_point(_56248, _56250))], (166 ^ _50715) ^ [_56368, _56370, _56372, _56374] : [distinct_lines(_56372, _56370), -(apart_point_and_line(_56374, _56372)), -(apart_point_and_line(_56374, _56370)), -(unorthogonal_lines(_56372, _56368)), -(unorthogonal_lines(_56370, _56368))], (184 ^ _50715) ^ [_56912, _56914] : [-(convergent_lines(_56914, _56912)), -(unorthogonal_lines(_56914, _56912))], (208 ^ _50715) ^ [_57706, _57708, _57710] : [convergent_lines(_57708, _57706), -(unorthogonal_lines(_57710, _57708)), -(unorthogonal_lines(_57710, _57706))], (190 ^ _50715) ^ [_57141, _57143, _57145] : [193 ^ _50715 : [(194 ^ _50715) ^ [] : [-(convergent_lines(_57145, _57143))], (196 ^ _50715) ^ [] : [-(unorthogonal_lines(_57145, _57143))]], 197 ^ _50715 : [(198 ^ _50715) ^ [] : [-(convergent_lines(_57145, _57141))], (200 ^ _50715) ^ [] : [-(unorthogonal_lines(_57145, _57141))]], convergent_lines(_57143, _57141), unorthogonal_lines(_57143, _57141)], (218 ^ _50715) ^ [_58046, _58048] : [-(line(line_connecting(_58048, _58046))), point(_58048), point(_58046), distinct_points(_58048, _58046)], (232 ^ _50715) ^ [_58434, _58436] : [-(point(intersection_point(_58436, _58434))), line(_58436), line(_58434), convergent_lines(_58436, _58434)], (246 ^ _50715) ^ [_58822, _58824] : [-(line(parallel_through_point(_58824, _58822))), line(_58824), point(_58822)], (256 ^ _50715) ^ [_59101, _59103] : [-(line(orthogonal_through_point(_59103, _59101))), line(_59103), point(_59101)], (266 ^ _50715) ^ [_59435, _59437] : [equal_points(_59437, _59435), distinct_points(_59437, _59435)], (272 ^ _50715) ^ [_59598, _59600] : [-(distinct_points(_59600, _59598)), -(equal_points(_59600, _59598))], (278 ^ _50715) ^ [_59842, _59844] : [equal_lines(_59844, _59842), distinct_lines(_59844, _59842)], (284 ^ _50715) ^ [_60005, _60007] : [-(distinct_lines(_60007, _60005)), -(equal_lines(_60007, _60005))], (290 ^ _50715) ^ [_60249, _60251] : [parallel_lines(_60251, _60249), convergent_lines(_60251, _60249)], (296 ^ _50715) ^ [_60412, _60414] : [-(convergent_lines(_60414, _60412)), -(parallel_lines(_60414, _60412))], (302 ^ _50715) ^ [_60656, _60658] : [incident_point_and_line(_60658, _60656), apart_point_and_line(_60658, _60656)], (308 ^ _50715) ^ [_60819, _60821] : [-(apart_point_and_line(_60821, _60819)), -(incident_point_and_line(_60821, _60819))], (314 ^ _50715) ^ [_61043, _61045] : [orthogonal_lines(_61045, _61043), unorthogonal_lines(_61045, _61043)], (320 ^ _50715) ^ [_61206, _61208] : [-(unorthogonal_lines(_61208, _61206)), -(orthogonal_lines(_61208, _61206))]], input).
% 0.33/1.34  ncf('1',plain,[distinct_lines(325 ^ [], 327 ^ []), distinct_lines(326 ^ [], 327 ^ [])],start(333 ^ 0)).
% 0.33/1.34  ncf('1.1',plain,[-(distinct_lines(325 ^ [], 327 ^ [])), distinct_lines(327 ^ [], 325 ^ []), -(distinct_lines(327 ^ [], 327 ^ []))],extension(18 ^ 1,bind([[_51417, _51419, _51421], [327 ^ [], 325 ^ [], 327 ^ []]]))).
% 0.33/1.34  ncf('1.1.1',plain,[-(distinct_lines(327 ^ [], 325 ^ [])), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []))],extension(94 ^ 2,bind([[_53900, _53902, _53904], [325 ^ [], 327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.33/1.34  ncf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(331 ^ 3)).
% 0.33/1.34  ncf('1.1.1.2',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 3,bind([[_52485, _52487], [326 ^ [], 325 ^ []]]))).
% 0.33/1.34  ncf('1.1.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.33/1.34  ncf('1.1.2',plain,[distinct_lines(327 ^ [], 327 ^ [])],extension(4 ^ 2,bind([[_50895], [327 ^ []]]))).
% 0.33/1.34  ncf('1.2',plain,[-(distinct_lines(326 ^ [], 327 ^ [])), distinct_lines(327 ^ [], 326 ^ []), -(distinct_lines(327 ^ [], 327 ^ []))],extension(18 ^ 1,bind([[_51417, _51419, _51421], [327 ^ [], 326 ^ [], 327 ^ []]]))).
% 0.33/1.34  ncf('1.2.1',plain,[-(distinct_lines(327 ^ [], 326 ^ [])), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []))],extension(94 ^ 2,bind([[_53900, _53902, _53904], [326 ^ [], 327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.33/1.34  ncf('1.2.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(331 ^ 3)).
% 0.33/1.34  ncf('1.2.1.2',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 3,bind([[_52702, _52704], [326 ^ [], 325 ^ []]]))).
% 0.33/1.34  ncf('1.2.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 0.33/1.34  ncf('1.2.2',plain,[distinct_lines(327 ^ [], 327 ^ [])],extension(4 ^ 2,bind([[_50895], [327 ^ []]]))).
% 0.33/1.34  %-----------------------------------------------------
% 0.33/1.34  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------