TSTP Solution File: GEO226+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO226+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:12:18 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO226+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 04:30:08 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(328 ^ _50640) ^ [] : [-(line(325 ^ []))], (330 ^ _50640) ^ [] : [-(line(326 ^ []))], (332 ^ _50640) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (334 ^ _50640) ^ [_61729] : [-(point(_61729))], (336 ^ _50640) ^ [_61787] : [incident_point_and_line(_61787, 325 ^ []), incident_point_and_line(_61787, 326 ^ [])], (2 ^ _50640) ^ [_50743] : [distinct_points(_50743, _50743)], (4 ^ _50640) ^ [_50820] : [distinct_lines(_50820, _50820)], (6 ^ _50640) ^ [_50897] : [convergent_lines(_50897, _50897)], (8 ^ _50640) ^ [_51018, _51020, _51022] : [distinct_points(_51022, _51020), -(distinct_points(_51022, _51018)), -(distinct_points(_51020, _51018))], (18 ^ _50640) ^ [_51342, _51344, _51346] : [distinct_lines(_51346, _51344), -(distinct_lines(_51346, _51342)), -(distinct_lines(_51344, _51342))], (28 ^ _50640) ^ [_51666, _51668, _51670] : [convergent_lines(_51670, _51668), -(convergent_lines(_51670, _51666)), -(convergent_lines(_51668, _51666))], (38 ^ _50640) ^ [_51976, _51978] : [distinct_points(_51978, _51976), apart_point_and_line(_51978, line_connecting(_51978, _51976))], (44 ^ _50640) ^ [_52193, _52195] : [distinct_points(_52195, _52193), apart_point_and_line(_52193, line_connecting(_52195, _52193))], (50 ^ _50640) ^ [_52410, _52412] : [convergent_lines(_52412, _52410), apart_point_and_line(intersection_point(_52412, _52410), _52412)], (56 ^ _50640) ^ [_52627, _52629] : [convergent_lines(_52629, _52627), apart_point_and_line(intersection_point(_52629, _52627), _52627)], (62 ^ _50640) ^ [_52872, _52874, _52876, _52878] : [distinct_points(_52878, _52876), distinct_lines(_52874, _52872), -(apart_point_and_line(_52878, _52874)), -(apart_point_and_line(_52878, _52872)), -(apart_point_and_line(_52876, _52874)), -(apart_point_and_line(_52876, _52872))], (84 ^ _50640) ^ [_53501, _53503, _53505] : [apart_point_and_line(_53505, _53503), -(distinct_points(_53505, _53501)), -(apart_point_and_line(_53501, _53503))], (94 ^ _50640) ^ [_53825, _53827, _53829] : [apart_point_and_line(_53829, _53827), -(distinct_lines(_53827, _53825)), -(apart_point_and_line(_53829, _53825))], (104 ^ _50640) ^ [_54129, _54131, _54133] : [convergent_lines(_54133, _54131), -(distinct_lines(_54131, _54129)), -(convergent_lines(_54133, _54129))], (114 ^ _50640) ^ [_54465, _54467] : [distinct_lines(_54467, _54465), -(convergent_lines(_54467, _54465))], (120 ^ _50640) ^ [_54679, _54681] : [convergent_lines(parallel_through_point(_54679, _54681), _54679)], (122 ^ _50640) ^ [_54775, _54777] : [apart_point_and_line(_54777, parallel_through_point(_54775, _54777))], (124 ^ _50640) ^ [_54881, _54883, _54885] : [distinct_lines(_54883, _54881), -(apart_point_and_line(_54885, _54883)), -(apart_point_and_line(_54885, _54881)), -(convergent_lines(_54883, _54881))], (138 ^ _50640) ^ [_55309, _55311] : [-(convergent_lines(_55311, _55309)), -(unorthogonal_lines(_55311, _55309))], (144 ^ _50640) ^ [_55534, _55536, _55538] : [convergent_lines(_55538, _55536), unorthogonal_lines(_55538, _55536), 153 ^ _50640 : [(154 ^ _50640) ^ [] : [-(convergent_lines(_55538, _55534))], (156 ^ _50640) ^ [] : [-(unorthogonal_lines(_55538, _55534))]], 157 ^ _50640 : [(158 ^ _50640) ^ [] : [-(convergent_lines(_55536, _55534))], (160 ^ _50640) ^ [] : [-(unorthogonal_lines(_55536, _55534))]]], (162 ^ _50640) ^ [_56077, _56079] : [unorthogonal_lines(orthogonal_through_point(_56077, _56079), _56077)], (164 ^ _50640) ^ [_56173, _56175] : [apart_point_and_line(_56175, orthogonal_through_point(_56173, _56175))], (166 ^ _50640) ^ [_56293, _56295, _56297, _56299] : [distinct_lines(_56297, _56295), -(apart_point_and_line(_56299, _56297)), -(apart_point_and_line(_56299, _56295)), -(unorthogonal_lines(_56297, _56293)), -(unorthogonal_lines(_56295, _56293))], (184 ^ _50640) ^ [_56837, _56839] : [-(convergent_lines(_56839, _56837)), -(unorthogonal_lines(_56839, _56837))], (208 ^ _50640) ^ [_57631, _57633, _57635] : [convergent_lines(_57633, _57631), -(unorthogonal_lines(_57635, _57633)), -(unorthogonal_lines(_57635, _57631))], (190 ^ _50640) ^ [_57066, _57068, _57070] : [193 ^ _50640 : [(194 ^ _50640) ^ [] : [-(convergent_lines(_57070, _57068))], (196 ^ _50640) ^ [] : [-(unorthogonal_lines(_57070, _57068))]], 197 ^ _50640 : [(198 ^ _50640) ^ [] : [-(convergent_lines(_57070, _57066))], (200 ^ _50640) ^ [] : [-(unorthogonal_lines(_57070, _57066))]], convergent_lines(_57068, _57066), unorthogonal_lines(_57068, _57066)], (218 ^ _50640) ^ [_57971, _57973] : [-(line(line_connecting(_57973, _57971))), point(_57973), point(_57971), distinct_points(_57973, _57971)], (232 ^ _50640) ^ [_58359, _58361] : [-(point(intersection_point(_58361, _58359))), line(_58361), line(_58359), convergent_lines(_58361, _58359)], (246 ^ _50640) ^ [_58747, _58749] : [-(line(parallel_through_point(_58749, _58747))), line(_58749), point(_58747)], (256 ^ _50640) ^ [_59026, _59028] : [-(line(orthogonal_through_point(_59028, _59026))), line(_59028), point(_59026)], (266 ^ _50640) ^ [_59360, _59362] : [equal_points(_59362, _59360), distinct_points(_59362, _59360)], (272 ^ _50640) ^ [_59523, _59525] : [-(distinct_points(_59525, _59523)), -(equal_points(_59525, _59523))], (278 ^ _50640) ^ [_59767, _59769] : [equal_lines(_59769, _59767), distinct_lines(_59769, _59767)], (284 ^ _50640) ^ [_59930, _59932] : [-(distinct_lines(_59932, _59930)), -(equal_lines(_59932, _59930))], (290 ^ _50640) ^ [_60174, _60176] : [parallel_lines(_60176, _60174), convergent_lines(_60176, _60174)], (296 ^ _50640) ^ [_60337, _60339] : [-(convergent_lines(_60339, _60337)), -(parallel_lines(_60339, _60337))], (302 ^ _50640) ^ [_60581, _60583] : [incident_point_and_line(_60583, _60581), apart_point_and_line(_60583, _60581)], (308 ^ _50640) ^ [_60744, _60746] : [-(apart_point_and_line(_60746, _60744)), -(incident_point_and_line(_60746, _60744))], (314 ^ _50640) ^ [_60968, _60970] : [orthogonal_lines(_60970, _60968), unorthogonal_lines(_60970, _60968)], (320 ^ _50640) ^ [_61131, _61133] : [-(unorthogonal_lines(_61133, _61131)), -(orthogonal_lines(_61133, _61131))]], input).
% 0.33/1.37  ncf('1',plain,[incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])],start(336 ^ 0,bind([[_61787], [intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.33/1.37  ncf('1.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []))],extension(308 ^ 1,bind([[_60744, _60746], [325 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.33/1.37  ncf('1.1.1',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 2,bind([[_52410, _52412], [326 ^ [], 325 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(332 ^ 3)).
% 0.33/1.37  ncf('1.2',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []))],extension(308 ^ 1,bind([[_60744, _60746], [326 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.33/1.37  ncf('1.2.1',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 2,bind([[_52627, _52629], [326 ^ [], 325 ^ []]]))).
% 0.33/1.37  ncf('1.2.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(332 ^ 3)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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