TSTP Solution File: GEO224+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:12:17 EDT 2023
% Result : Theorem 0.50s 1.38s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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 03:54:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.50/1.38
% 0.50/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.50/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.38 %-----------------------------------------------------
% 0.50/1.38 ncf(matrix, plain, [(328 ^ _50269) ^ [] : [-(point(325 ^ []))], (330 ^ _50269) ^ [] : [-(line(326 ^ []))], (332 ^ _50269) ^ [_61274] : [point(_61274), incident_point_and_line(_61274, 326 ^ [])], (2 ^ _50269) ^ [_50372] : [distinct_points(_50372, _50372)], (4 ^ _50269) ^ [_50449] : [distinct_lines(_50449, _50449)], (6 ^ _50269) ^ [_50526] : [convergent_lines(_50526, _50526)], (8 ^ _50269) ^ [_50647, _50649, _50651] : [distinct_points(_50651, _50649), -(distinct_points(_50651, _50647)), -(distinct_points(_50649, _50647))], (18 ^ _50269) ^ [_50971, _50973, _50975] : [distinct_lines(_50975, _50973), -(distinct_lines(_50975, _50971)), -(distinct_lines(_50973, _50971))], (28 ^ _50269) ^ [_51295, _51297, _51299] : [convergent_lines(_51299, _51297), -(convergent_lines(_51299, _51295)), -(convergent_lines(_51297, _51295))], (38 ^ _50269) ^ [_51605, _51607] : [distinct_points(_51607, _51605), apart_point_and_line(_51607, line_connecting(_51607, _51605))], (44 ^ _50269) ^ [_51822, _51824] : [distinct_points(_51824, _51822), apart_point_and_line(_51822, line_connecting(_51824, _51822))], (50 ^ _50269) ^ [_52039, _52041] : [convergent_lines(_52041, _52039), apart_point_and_line(intersection_point(_52041, _52039), _52041)], (56 ^ _50269) ^ [_52256, _52258] : [convergent_lines(_52258, _52256), apart_point_and_line(intersection_point(_52258, _52256), _52256)], (62 ^ _50269) ^ [_52501, _52503, _52505, _52507] : [distinct_points(_52507, _52505), distinct_lines(_52503, _52501), -(apart_point_and_line(_52507, _52503)), -(apart_point_and_line(_52507, _52501)), -(apart_point_and_line(_52505, _52503)), -(apart_point_and_line(_52505, _52501))], (84 ^ _50269) ^ [_53130, _53132, _53134] : [apart_point_and_line(_53134, _53132), -(distinct_points(_53134, _53130)), -(apart_point_and_line(_53130, _53132))], (94 ^ _50269) ^ [_53454, _53456, _53458] : [apart_point_and_line(_53458, _53456), -(distinct_lines(_53456, _53454)), -(apart_point_and_line(_53458, _53454))], (104 ^ _50269) ^ [_53758, _53760, _53762] : [convergent_lines(_53762, _53760), -(distinct_lines(_53760, _53758)), -(convergent_lines(_53762, _53758))], (114 ^ _50269) ^ [_54094, _54096] : [distinct_lines(_54096, _54094), -(convergent_lines(_54096, _54094))], (120 ^ _50269) ^ [_54308, _54310] : [convergent_lines(parallel_through_point(_54308, _54310), _54308)], (122 ^ _50269) ^ [_54404, _54406] : [apart_point_and_line(_54406, parallel_through_point(_54404, _54406))], (124 ^ _50269) ^ [_54510, _54512, _54514] : [distinct_lines(_54512, _54510), -(apart_point_and_line(_54514, _54512)), -(apart_point_and_line(_54514, _54510)), -(convergent_lines(_54512, _54510))], (138 ^ _50269) ^ [_54938, _54940] : [-(convergent_lines(_54940, _54938)), -(unorthogonal_lines(_54940, _54938))], (144 ^ _50269) ^ [_55163, _55165, _55167] : [convergent_lines(_55167, _55165), unorthogonal_lines(_55167, _55165), 153 ^ _50269 : [(154 ^ _50269) ^ [] : [-(convergent_lines(_55167, _55163))], (156 ^ _50269) ^ [] : [-(unorthogonal_lines(_55167, _55163))]], 157 ^ _50269 : [(158 ^ _50269) ^ [] : [-(convergent_lines(_55165, _55163))], (160 ^ _50269) ^ [] : [-(unorthogonal_lines(_55165, _55163))]]], (162 ^ _50269) ^ [_55706, _55708] : [unorthogonal_lines(orthogonal_through_point(_55706, _55708), _55706)], (164 ^ _50269) ^ [_55802, _55804] : [apart_point_and_line(_55804, orthogonal_through_point(_55802, _55804))], (166 ^ _50269) ^ [_55922, _55924, _55926, _55928] : [distinct_lines(_55926, _55924), -(apart_point_and_line(_55928, _55926)), -(apart_point_and_line(_55928, _55924)), -(unorthogonal_lines(_55926, _55922)), -(unorthogonal_lines(_55924, _55922))], (184 ^ _50269) ^ [_56466, _56468] : [-(convergent_lines(_56468, _56466)), -(unorthogonal_lines(_56468, _56466))], (208 ^ _50269) ^ [_57260, _57262, _57264] : [convergent_lines(_57262, _57260), -(unorthogonal_lines(_57264, _57262)), -(unorthogonal_lines(_57264, _57260))], (190 ^ _50269) ^ [_56695, _56697, _56699] : [193 ^ _50269 : [(194 ^ _50269) ^ [] : [-(convergent_lines(_56699, _56697))], (196 ^ _50269) ^ [] : [-(unorthogonal_lines(_56699, _56697))]], 197 ^ _50269 : [(198 ^ _50269) ^ [] : [-(convergent_lines(_56699, _56695))], (200 ^ _50269) ^ [] : [-(unorthogonal_lines(_56699, _56695))]], convergent_lines(_56697, _56695), unorthogonal_lines(_56697, _56695)], (218 ^ _50269) ^ [_57600, _57602] : [-(line(line_connecting(_57602, _57600))), point(_57602), point(_57600), distinct_points(_57602, _57600)], (232 ^ _50269) ^ [_57988, _57990] : [-(point(intersection_point(_57990, _57988))), line(_57990), line(_57988), convergent_lines(_57990, _57988)], (246 ^ _50269) ^ [_58376, _58378] : [-(line(parallel_through_point(_58378, _58376))), line(_58378), point(_58376)], (256 ^ _50269) ^ [_58655, _58657] : [-(line(orthogonal_through_point(_58657, _58655))), line(_58657), point(_58655)], (266 ^ _50269) ^ [_58989, _58991] : [equal_points(_58991, _58989), distinct_points(_58991, _58989)], (272 ^ _50269) ^ [_59152, _59154] : [-(distinct_points(_59154, _59152)), -(equal_points(_59154, _59152))], (278 ^ _50269) ^ [_59396, _59398] : [equal_lines(_59398, _59396), distinct_lines(_59398, _59396)], (284 ^ _50269) ^ [_59559, _59561] : [-(distinct_lines(_59561, _59559)), -(equal_lines(_59561, _59559))], (290 ^ _50269) ^ [_59803, _59805] : [parallel_lines(_59805, _59803), convergent_lines(_59805, _59803)], (296 ^ _50269) ^ [_59966, _59968] : [-(convergent_lines(_59968, _59966)), -(parallel_lines(_59968, _59966))], (302 ^ _50269) ^ [_60210, _60212] : [incident_point_and_line(_60212, _60210), apart_point_and_line(_60212, _60210)], (308 ^ _50269) ^ [_60373, _60375] : [-(apart_point_and_line(_60375, _60373)), -(incident_point_and_line(_60375, _60373))], (314 ^ _50269) ^ [_60597, _60599] : [orthogonal_lines(_60599, _60597), unorthogonal_lines(_60599, _60597)], (320 ^ _50269) ^ [_60760, _60762] : [-(unorthogonal_lines(_60762, _60760)), -(orthogonal_lines(_60762, _60760))]], input).
% 0.50/1.38 ncf('1',plain,[distinct_lines(326 ^ [], 326 ^ [])],start(4 ^ 0,bind([[_50449], [326 ^ []]]))).
% 0.50/1.38 ncf('1.1',plain,[-(distinct_lines(326 ^ [], 326 ^ [])), distinct_lines(326 ^ [], parallel_through_point(326 ^ [], 325 ^ [])), -(distinct_lines(parallel_through_point(326 ^ [], 325 ^ []), 326 ^ []))],extension(18 ^ 1,bind([[_50971, _50973, _50975], [326 ^ [], parallel_through_point(326 ^ [], 325 ^ []), 326 ^ []]]))).
% 0.50/1.38 ncf('1.1.1',plain,[-(distinct_lines(326 ^ [], parallel_through_point(326 ^ [], 325 ^ []))), apart_point_and_line(325 ^ [], 326 ^ []), -(apart_point_and_line(325 ^ [], parallel_through_point(326 ^ [], 325 ^ [])))],extension(94 ^ 2,bind([[_53454, _53456, _53458], [parallel_through_point(326 ^ [], 325 ^ []), 326 ^ [], 325 ^ []]]))).
% 0.50/1.38 ncf('1.1.1.1',plain,[-(apart_point_and_line(325 ^ [], 326 ^ [])), -(incident_point_and_line(325 ^ [], 326 ^ []))],extension(308 ^ 3,bind([[_60373, _60375], [326 ^ [], 325 ^ []]]))).
% 0.50/1.38 ncf('1.1.1.1.1',plain,[incident_point_and_line(325 ^ [], 326 ^ []), point(325 ^ [])],extension(332 ^ 4,bind([[_61274], [325 ^ []]]))).
% 0.50/1.38 ncf('1.1.1.1.1.1',plain,[-(point(325 ^ []))],extension(328 ^ 5)).
% 0.50/1.38 ncf('1.1.1.2',plain,[apart_point_and_line(325 ^ [], parallel_through_point(326 ^ [], 325 ^ []))],extension(122 ^ 3,bind([[_54404, _54406], [326 ^ [], 325 ^ []]]))).
% 0.50/1.38 ncf('1.1.2',plain,[distinct_lines(parallel_through_point(326 ^ [], 325 ^ []), 326 ^ []), -(convergent_lines(parallel_through_point(326 ^ [], 325 ^ []), 326 ^ []))],extension(114 ^ 2,bind([[_54094, _54096], [326 ^ [], parallel_through_point(326 ^ [], 325 ^ [])]]))).
% 0.50/1.38 ncf('1.1.2.1',plain,[convergent_lines(parallel_through_point(326 ^ [], 325 ^ []), 326 ^ [])],extension(120 ^ 3,bind([[_54308, _54310], [326 ^ [], 325 ^ []]]))).
% 0.50/1.38 %-----------------------------------------------------
% 0.50/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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