%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO178+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 11:12:04 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:03:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(329 ^ _50220) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _50220) ^ [] : [-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (333 ^ _50220) ^ [] : [distinct_points(327 ^ [], 325 ^ []), distinct_points(327 ^ [], 326 ^ [])], (2 ^ _50220) ^ [_50323] : [distinct_points(_50323, _50323)], (4 ^ _50220) ^ [_50400] : [distinct_lines(_50400, _50400)], (6 ^ _50220) ^ [_50477] : [convergent_lines(_50477, _50477)], (8 ^ _50220) ^ [_50598, _50600, _50602] : [distinct_points(_50602, _50600), -(distinct_points(_50602, _50598)), -(distinct_points(_50600, _50598))], (18 ^ _50220) ^ [_50922, _50924, _50926] : [distinct_lines(_50926, _50924), -(distinct_lines(_50926, _50922)), -(distinct_lines(_50924, _50922))], (28 ^ _50220) ^ [_51246, _51248, _51250] : [convergent_lines(_51250, _51248), -(convergent_lines(_51250, _51246)), -(convergent_lines(_51248, _51246))], (38 ^ _50220) ^ [_51556, _51558] : [distinct_points(_51558, _51556), apart_point_and_line(_51558, line_connecting(_51558, _51556))], (44 ^ _50220) ^ [_51773, _51775] : [distinct_points(_51775, _51773), apart_point_and_line(_51773, line_connecting(_51775, _51773))], (50 ^ _50220) ^ [_51990, _51992] : [convergent_lines(_51992, _51990), apart_point_and_line(intersection_point(_51992, _51990), _51992)], (56 ^ _50220) ^ [_52207, _52209] : [convergent_lines(_52209, _52207), apart_point_and_line(intersection_point(_52209, _52207), _52207)], (62 ^ _50220) ^ [_52452, _52454, _52456, _52458] : [distinct_points(_52458, _52456), distinct_lines(_52454, _52452), -(apart_point_and_line(_52458, _52454)), -(apart_point_and_line(_52458, _52452)), -(apart_point_and_line(_52456, _52454)), -(apart_point_and_line(_52456, _52452))], (84 ^ _50220) ^ [_53081, _53083, _53085] : [apart_point_and_line(_53085, _53083), -(distinct_points(_53085, _53081)), -(apart_point_and_line(_53081, _53083))], (94 ^ _50220) ^ [_53405, _53407, _53409] : [apart_point_and_line(_53409, _53407), -(distinct_lines(_53407, _53405)), -(apart_point_and_line(_53409, _53405))], (104 ^ _50220) ^ [_53709, _53711, _53713] : [convergent_lines(_53713, _53711), -(distinct_lines(_53711, _53709)), -(convergent_lines(_53713, _53709))], (114 ^ _50220) ^ [_54045, _54047] : [distinct_lines(_54047, _54045), -(convergent_lines(_54047, _54045))], (120 ^ _50220) ^ [_54259, _54261] : [convergent_lines(parallel_through_point(_54259, _54261), _54259)], (122 ^ _50220) ^ [_54355, _54357] : [apart_point_and_line(_54357, parallel_through_point(_54355, _54357))], (124 ^ _50220) ^ [_54461, _54463, _54465] : [distinct_lines(_54463, _54461), -(apart_point_and_line(_54465, _54463)), -(apart_point_and_line(_54465, _54461)), -(convergent_lines(_54463, _54461))], (138 ^ _50220) ^ [_54889, _54891] : [-(convergent_lines(_54891, _54889)), -(unorthogonal_lines(_54891, _54889))], (144 ^ _50220) ^ [_55114, _55116, _55118] : [convergent_lines(_55118, _55116), unorthogonal_lines(_55118, _55116), 153 ^ _50220 : [(154 ^ _50220) ^ [] : [-(convergent_lines(_55118, _55114))], (156 ^ _50220) ^ [] : [-(unorthogonal_lines(_55118, _55114))]], 157 ^ _50220 : [(158 ^ _50220) ^ [] : [-(convergent_lines(_55116, _55114))], (160 ^ _50220) ^ [] : [-(unorthogonal_lines(_55116, _55114))]]], (162 ^ _50220) ^ [_55657, _55659] : [unorthogonal_lines(orthogonal_through_point(_55657, _55659), _55657)], (164 ^ _50220) ^ [_55753, _55755] : [apart_point_and_line(_55755, orthogonal_through_point(_55753, _55755))], (166 ^ _50220) ^ [_55873, _55875, _55877, _55879] : [distinct_lines(_55877, _55875), -(apart_point_and_line(_55879, _55877)), -(apart_point_and_line(_55879, _55875)), -(unorthogonal_lines(_55877, _55873)), -(unorthogonal_lines(_55875, _55873))], (184 ^ _50220) ^ [_56417, _56419] : [-(convergent_lines(_56419, _56417)), -(unorthogonal_lines(_56419, _56417))], (208 ^ _50220) ^ [_57211, _57213, _57215] : [convergent_lines(_57213, _57211), -(unorthogonal_lines(_57215, _57213)), -(unorthogonal_lines(_57215, _57211))], (190 ^ _50220) ^ [_56646, _56648, _56650] : [193 ^ _50220 : [(194 ^ _50220) ^ [] : [-(convergent_lines(_56650, _56648))], (196 ^ _50220) ^ [] : [-(unorthogonal_lines(_56650, _56648))]], 197 ^ _50220 : [(198 ^ _50220) ^ [] : [-(convergent_lines(_56650, _56646))], (200 ^ _50220) ^ [] : [-(unorthogonal_lines(_56650, _56646))]], convergent_lines(_56648, _56646), unorthogonal_lines(_56648, _56646)], (218 ^ _50220) ^ [_57551, _57553] : [-(line(line_connecting(_57553, _57551))), point(_57553), point(_57551), distinct_points(_57553, _57551)], (232 ^ _50220) ^ [_57939, _57941] : [-(point(intersection_point(_57941, _57939))), line(_57941), line(_57939), convergent_lines(_57941, _57939)], (246 ^ _50220) ^ [_58327, _58329] : [-(line(parallel_through_point(_58329, _58327))), line(_58329), point(_58327)], (256 ^ _50220) ^ [_58606, _58608] : [-(line(orthogonal_through_point(_58608, _58606))), line(_58608), point(_58606)], (266 ^ _50220) ^ [_58940, _58942] : [equal_points(_58942, _58940), distinct_points(_58942, _58940)], (272 ^ _50220) ^ [_59103, _59105] : [-(distinct_points(_59105, _59103)), -(equal_points(_59105, _59103))], (278 ^ _50220) ^ [_59347, _59349] : [equal_lines(_59349, _59347), distinct_lines(_59349, _59347)], (284 ^ _50220) ^ [_59510, _59512] : [-(distinct_lines(_59512, _59510)), -(equal_lines(_59512, _59510))], (290 ^ _50220) ^ [_59754, _59756] : [parallel_lines(_59756, _59754), convergent_lines(_59756, _59754)], (296 ^ _50220) ^ [_59917, _59919] : [-(convergent_lines(_59919, _59917)), -(parallel_lines(_59919, _59917))], (302 ^ _50220) ^ [_60161, _60163] : [incident_point_and_line(_60163, _60161), apart_point_and_line(_60163, _60161)], (308 ^ _50220) ^ [_60324, _60326] : [-(apart_point_and_line(_60326, _60324)), -(incident_point_and_line(_60326, _60324))], (314 ^ _50220) ^ [_60548, _60550] : [orthogonal_lines(_60550, _60548), unorthogonal_lines(_60550, _60548)], (320 ^ _50220) ^ [_60711, _60713] : [-(unorthogonal_lines(_60713, _60711)), -(orthogonal_lines(_60713, _60711))]], input).
% 0.31/1.38  ncf('1',plain,[distinct_points(327 ^ [], 325 ^ []), distinct_points(327 ^ [], 326 ^ [])],start(333 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(distinct_points(327 ^ [], 325 ^ [])), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(84 ^ 1,bind([[_53081, _53083, _53085], [325 ^ [], line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 2)).
% 0.31/1.38  ncf('1.1.2',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_51556, _51558], [326 ^ [], 325 ^ []]]))).
% 0.31/1.38  ncf('1.1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.31/1.38  ncf('1.2',plain,[-(distinct_points(327 ^ [], 326 ^ [])), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(84 ^ 1,bind([[_53081, _53083, _53085], [326 ^ [], line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.31/1.38  ncf('1.2.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 2)).
% 0.31/1.38  ncf('1.2.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_51773, _51775], [326 ^ [], 325 ^ []]]))).
% 0.31/1.38  ncf('1.2.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------