%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO180+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 0.36s 1.38s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO180+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 04:51:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.36/1.38  
% 0.36/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  ncf(matrix, plain, [(329 ^ _50015) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _50015) ^ [] : [-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (333 ^ _50015) ^ [] : [apart_point_and_line(325 ^ [], line_connecting(327 ^ [], 326 ^ []))], (2 ^ _50015) ^ [_50118] : [distinct_points(_50118, _50118)], (4 ^ _50015) ^ [_50195] : [distinct_lines(_50195, _50195)], (6 ^ _50015) ^ [_50272] : [convergent_lines(_50272, _50272)], (8 ^ _50015) ^ [_50393, _50395, _50397] : [distinct_points(_50397, _50395), -(distinct_points(_50397, _50393)), -(distinct_points(_50395, _50393))], (18 ^ _50015) ^ [_50717, _50719, _50721] : [distinct_lines(_50721, _50719), -(distinct_lines(_50721, _50717)), -(distinct_lines(_50719, _50717))], (28 ^ _50015) ^ [_51041, _51043, _51045] : [convergent_lines(_51045, _51043), -(convergent_lines(_51045, _51041)), -(convergent_lines(_51043, _51041))], (38 ^ _50015) ^ [_51351, _51353] : [distinct_points(_51353, _51351), apart_point_and_line(_51353, line_connecting(_51353, _51351))], (44 ^ _50015) ^ [_51568, _51570] : [distinct_points(_51570, _51568), apart_point_and_line(_51568, line_connecting(_51570, _51568))], (50 ^ _50015) ^ [_51785, _51787] : [convergent_lines(_51787, _51785), apart_point_and_line(intersection_point(_51787, _51785), _51787)], (56 ^ _50015) ^ [_52002, _52004] : [convergent_lines(_52004, _52002), apart_point_and_line(intersection_point(_52004, _52002), _52002)], (62 ^ _50015) ^ [_52247, _52249, _52251, _52253] : [distinct_points(_52253, _52251), distinct_lines(_52249, _52247), -(apart_point_and_line(_52253, _52249)), -(apart_point_and_line(_52253, _52247)), -(apart_point_and_line(_52251, _52249)), -(apart_point_and_line(_52251, _52247))], (84 ^ _50015) ^ [_52876, _52878, _52880] : [apart_point_and_line(_52880, _52878), -(distinct_points(_52880, _52876)), -(apart_point_and_line(_52876, _52878))], (94 ^ _50015) ^ [_53200, _53202, _53204] : [apart_point_and_line(_53204, _53202), -(distinct_lines(_53202, _53200)), -(apart_point_and_line(_53204, _53200))], (104 ^ _50015) ^ [_53504, _53506, _53508] : [convergent_lines(_53508, _53506), -(distinct_lines(_53506, _53504)), -(convergent_lines(_53508, _53504))], (114 ^ _50015) ^ [_53840, _53842] : [distinct_lines(_53842, _53840), -(convergent_lines(_53842, _53840))], (120 ^ _50015) ^ [_54054, _54056] : [convergent_lines(parallel_through_point(_54054, _54056), _54054)], (122 ^ _50015) ^ [_54150, _54152] : [apart_point_and_line(_54152, parallel_through_point(_54150, _54152))], (124 ^ _50015) ^ [_54256, _54258, _54260] : [distinct_lines(_54258, _54256), -(apart_point_and_line(_54260, _54258)), -(apart_point_and_line(_54260, _54256)), -(convergent_lines(_54258, _54256))], (138 ^ _50015) ^ [_54684, _54686] : [-(convergent_lines(_54686, _54684)), -(unorthogonal_lines(_54686, _54684))], (144 ^ _50015) ^ [_54909, _54911, _54913] : [convergent_lines(_54913, _54911), unorthogonal_lines(_54913, _54911), 153 ^ _50015 : [(154 ^ _50015) ^ [] : [-(convergent_lines(_54913, _54909))], (156 ^ _50015) ^ [] : [-(unorthogonal_lines(_54913, _54909))]], 157 ^ _50015 : [(158 ^ _50015) ^ [] : [-(convergent_lines(_54911, _54909))], (160 ^ _50015) ^ [] : [-(unorthogonal_lines(_54911, _54909))]]], (162 ^ _50015) ^ [_55452, _55454] : [unorthogonal_lines(orthogonal_through_point(_55452, _55454), _55452)], (164 ^ _50015) ^ [_55548, _55550] : [apart_point_and_line(_55550, orthogonal_through_point(_55548, _55550))], (166 ^ _50015) ^ [_55668, _55670, _55672, _55674] : [distinct_lines(_55672, _55670), -(apart_point_and_line(_55674, _55672)), -(apart_point_and_line(_55674, _55670)), -(unorthogonal_lines(_55672, _55668)), -(unorthogonal_lines(_55670, _55668))], (184 ^ _50015) ^ [_56212, _56214] : [-(convergent_lines(_56214, _56212)), -(unorthogonal_lines(_56214, _56212))], (208 ^ _50015) ^ [_57006, _57008, _57010] : [convergent_lines(_57008, _57006), -(unorthogonal_lines(_57010, _57008)), -(unorthogonal_lines(_57010, _57006))], (190 ^ _50015) ^ [_56441, _56443, _56445] : [193 ^ _50015 : [(194 ^ _50015) ^ [] : [-(convergent_lines(_56445, _56443))], (196 ^ _50015) ^ [] : [-(unorthogonal_lines(_56445, _56443))]], 197 ^ _50015 : [(198 ^ _50015) ^ [] : [-(convergent_lines(_56445, _56441))], (200 ^ _50015) ^ [] : [-(unorthogonal_lines(_56445, _56441))]], convergent_lines(_56443, _56441), unorthogonal_lines(_56443, _56441)], (218 ^ _50015) ^ [_57346, _57348] : [-(line(line_connecting(_57348, _57346))), point(_57348), point(_57346), distinct_points(_57348, _57346)], (232 ^ _50015) ^ [_57734, _57736] : [-(point(intersection_point(_57736, _57734))), line(_57736), line(_57734), convergent_lines(_57736, _57734)], (246 ^ _50015) ^ [_58122, _58124] : [-(line(parallel_through_point(_58124, _58122))), line(_58124), point(_58122)], (256 ^ _50015) ^ [_58401, _58403] : [-(line(orthogonal_through_point(_58403, _58401))), line(_58403), point(_58401)], (266 ^ _50015) ^ [_58735, _58737] : [equal_points(_58737, _58735), distinct_points(_58737, _58735)], (272 ^ _50015) ^ [_58898, _58900] : [-(distinct_points(_58900, _58898)), -(equal_points(_58900, _58898))], (278 ^ _50015) ^ [_59142, _59144] : [equal_lines(_59144, _59142), distinct_lines(_59144, _59142)], (284 ^ _50015) ^ [_59305, _59307] : [-(distinct_lines(_59307, _59305)), -(equal_lines(_59307, _59305))], (290 ^ _50015) ^ [_59549, _59551] : [parallel_lines(_59551, _59549), convergent_lines(_59551, _59549)], (296 ^ _50015) ^ [_59712, _59714] : [-(convergent_lines(_59714, _59712)), -(parallel_lines(_59714, _59712))], (302 ^ _50015) ^ [_59956, _59958] : [incident_point_and_line(_59958, _59956), apart_point_and_line(_59958, _59956)], (308 ^ _50015) ^ [_60119, _60121] : [-(apart_point_and_line(_60121, _60119)), -(incident_point_and_line(_60121, _60119))], (314 ^ _50015) ^ [_60343, _60345] : [orthogonal_lines(_60345, _60343), unorthogonal_lines(_60345, _60343)], (320 ^ _50015) ^ [_60506, _60508] : [-(unorthogonal_lines(_60508, _60506)), -(orthogonal_lines(_60508, _60506))]], input).
% 0.36/1.38  ncf('1',plain,[distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 326 ^ []))],start(4 ^ 0,bind([[_50195], [line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.36/1.38  ncf('1.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 326 ^ []))), distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])))],extension(18 ^ 1,bind([[_50717, _50719, _50721], [line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.36/1.38  ncf('1.1.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []))), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ [])))],extension(94 ^ 2,bind([[_53200, _53202, _53204], [parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.36/1.38  ncf('1.1.1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 3)).
% 0.36/1.38  ncf('1.1.1.2',plain,[apart_point_and_line(327 ^ [], parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []))],extension(122 ^ 3,bind([[_54150, _54152], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.36/1.38  ncf('1.1.2',plain,[distinct_lines(parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ [])))],extension(114 ^ 2,bind([[_53840, _53842], [line_connecting(325 ^ [], 326 ^ []), parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ [])]]))).
% 0.36/1.38  ncf('1.1.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(325 ^ [], 326 ^ []), 327 ^ []), line_connecting(325 ^ [], 326 ^ []))],extension(120 ^ 3,bind([[_54054, _54056], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------