TSTP Solution File: GEO195+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 11:12:09 EDT 2023
% Result : Theorem 0.59s 1.39s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 04:31:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.59/1.39
% 0.59/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.59/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/1.39 %-----------------------------------------------------
% 0.59/1.39 ncf(matrix, plain, [(329 ^ _51440) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _51440) ^ [] : [-(convergent_lines(327 ^ [], 326 ^ []))], (333 ^ _51440) ^ [] : [-(convergent_lines(325 ^ [], 327 ^ []))], (335 ^ _51440) ^ [] : [-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (337 ^ _51440) ^ [] : [apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ [])], (2 ^ _51440) ^ [_51543] : [distinct_points(_51543, _51543)], (4 ^ _51440) ^ [_51620] : [distinct_lines(_51620, _51620)], (6 ^ _51440) ^ [_51697] : [convergent_lines(_51697, _51697)], (8 ^ _51440) ^ [_51818, _51820, _51822] : [distinct_points(_51822, _51820), -(distinct_points(_51822, _51818)), -(distinct_points(_51820, _51818))], (18 ^ _51440) ^ [_52142, _52144, _52146] : [distinct_lines(_52146, _52144), -(distinct_lines(_52146, _52142)), -(distinct_lines(_52144, _52142))], (28 ^ _51440) ^ [_52466, _52468, _52470] : [convergent_lines(_52470, _52468), -(convergent_lines(_52470, _52466)), -(convergent_lines(_52468, _52466))], (38 ^ _51440) ^ [_52776, _52778] : [distinct_points(_52778, _52776), apart_point_and_line(_52778, line_connecting(_52778, _52776))], (44 ^ _51440) ^ [_52993, _52995] : [distinct_points(_52995, _52993), apart_point_and_line(_52993, line_connecting(_52995, _52993))], (50 ^ _51440) ^ [_53210, _53212] : [convergent_lines(_53212, _53210), apart_point_and_line(intersection_point(_53212, _53210), _53212)], (56 ^ _51440) ^ [_53427, _53429] : [convergent_lines(_53429, _53427), apart_point_and_line(intersection_point(_53429, _53427), _53427)], (62 ^ _51440) ^ [_53672, _53674, _53676, _53678] : [distinct_points(_53678, _53676), distinct_lines(_53674, _53672), -(apart_point_and_line(_53678, _53674)), -(apart_point_and_line(_53678, _53672)), -(apart_point_and_line(_53676, _53674)), -(apart_point_and_line(_53676, _53672))], (84 ^ _51440) ^ [_54301, _54303, _54305] : [apart_point_and_line(_54305, _54303), -(distinct_points(_54305, _54301)), -(apart_point_and_line(_54301, _54303))], (94 ^ _51440) ^ [_54625, _54627, _54629] : [apart_point_and_line(_54629, _54627), -(distinct_lines(_54627, _54625)), -(apart_point_and_line(_54629, _54625))], (104 ^ _51440) ^ [_54929, _54931, _54933] : [convergent_lines(_54933, _54931), -(distinct_lines(_54931, _54929)), -(convergent_lines(_54933, _54929))], (114 ^ _51440) ^ [_55265, _55267] : [distinct_lines(_55267, _55265), -(convergent_lines(_55267, _55265))], (120 ^ _51440) ^ [_55479, _55481] : [convergent_lines(parallel_through_point(_55479, _55481), _55479)], (122 ^ _51440) ^ [_55575, _55577] : [apart_point_and_line(_55577, parallel_through_point(_55575, _55577))], (124 ^ _51440) ^ [_55681, _55683, _55685] : [distinct_lines(_55683, _55681), -(apart_point_and_line(_55685, _55683)), -(apart_point_and_line(_55685, _55681)), -(convergent_lines(_55683, _55681))], (138 ^ _51440) ^ [_56109, _56111] : [-(convergent_lines(_56111, _56109)), -(unorthogonal_lines(_56111, _56109))], (144 ^ _51440) ^ [_56334, _56336, _56338] : [convergent_lines(_56338, _56336), unorthogonal_lines(_56338, _56336), 153 ^ _51440 : [(154 ^ _51440) ^ [] : [-(convergent_lines(_56338, _56334))], (156 ^ _51440) ^ [] : [-(unorthogonal_lines(_56338, _56334))]], 157 ^ _51440 : [(158 ^ _51440) ^ [] : [-(convergent_lines(_56336, _56334))], (160 ^ _51440) ^ [] : [-(unorthogonal_lines(_56336, _56334))]]], (162 ^ _51440) ^ [_56877, _56879] : [unorthogonal_lines(orthogonal_through_point(_56877, _56879), _56877)], (164 ^ _51440) ^ [_56973, _56975] : [apart_point_and_line(_56975, orthogonal_through_point(_56973, _56975))], (166 ^ _51440) ^ [_57093, _57095, _57097, _57099] : [distinct_lines(_57097, _57095), -(apart_point_and_line(_57099, _57097)), -(apart_point_and_line(_57099, _57095)), -(unorthogonal_lines(_57097, _57093)), -(unorthogonal_lines(_57095, _57093))], (184 ^ _51440) ^ [_57637, _57639] : [-(convergent_lines(_57639, _57637)), -(unorthogonal_lines(_57639, _57637))], (208 ^ _51440) ^ [_58431, _58433, _58435] : [convergent_lines(_58433, _58431), -(unorthogonal_lines(_58435, _58433)), -(unorthogonal_lines(_58435, _58431))], (190 ^ _51440) ^ [_57866, _57868, _57870] : [193 ^ _51440 : [(194 ^ _51440) ^ [] : [-(convergent_lines(_57870, _57868))], (196 ^ _51440) ^ [] : [-(unorthogonal_lines(_57870, _57868))]], 197 ^ _51440 : [(198 ^ _51440) ^ [] : [-(convergent_lines(_57870, _57866))], (200 ^ _51440) ^ [] : [-(unorthogonal_lines(_57870, _57866))]], convergent_lines(_57868, _57866), unorthogonal_lines(_57868, _57866)], (218 ^ _51440) ^ [_58771, _58773] : [-(line(line_connecting(_58773, _58771))), point(_58773), point(_58771), distinct_points(_58773, _58771)], (232 ^ _51440) ^ [_59159, _59161] : [-(point(intersection_point(_59161, _59159))), line(_59161), line(_59159), convergent_lines(_59161, _59159)], (246 ^ _51440) ^ [_59547, _59549] : [-(line(parallel_through_point(_59549, _59547))), line(_59549), point(_59547)], (256 ^ _51440) ^ [_59826, _59828] : [-(line(orthogonal_through_point(_59828, _59826))), line(_59828), point(_59826)], (266 ^ _51440) ^ [_60160, _60162] : [equal_points(_60162, _60160), distinct_points(_60162, _60160)], (272 ^ _51440) ^ [_60323, _60325] : [-(distinct_points(_60325, _60323)), -(equal_points(_60325, _60323))], (278 ^ _51440) ^ [_60567, _60569] : [equal_lines(_60569, _60567), distinct_lines(_60569, _60567)], (284 ^ _51440) ^ [_60730, _60732] : [-(distinct_lines(_60732, _60730)), -(equal_lines(_60732, _60730))], (290 ^ _51440) ^ [_60974, _60976] : [parallel_lines(_60976, _60974), convergent_lines(_60976, _60974)], (296 ^ _51440) ^ [_61137, _61139] : [-(convergent_lines(_61139, _61137)), -(parallel_lines(_61139, _61137))], (302 ^ _51440) ^ [_61381, _61383] : [incident_point_and_line(_61383, _61381), apart_point_and_line(_61383, _61381)], (308 ^ _51440) ^ [_61544, _61546] : [-(apart_point_and_line(_61546, _61544)), -(incident_point_and_line(_61546, _61544))], (314 ^ _51440) ^ [_61768, _61770] : [orthogonal_lines(_61770, _61768), unorthogonal_lines(_61770, _61768)], (320 ^ _51440) ^ [_61931, _61933] : [-(unorthogonal_lines(_61933, _61931)), -(orthogonal_lines(_61933, _61931))]], input).
% 0.59/1.39 ncf('1',plain,[convergent_lines(325 ^ [], 325 ^ [])],start(6 ^ 0,bind([[_51697], [325 ^ []]]))).
% 0.59/1.39 ncf('1.1',plain,[-(convergent_lines(325 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(326 ^ [], 325 ^ []))],extension(28 ^ 1,bind([[_52466, _52468, _52470], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.59/1.39 ncf('1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 2)).
% 0.59/1.39 ncf('1.1.2',plain,[convergent_lines(326 ^ [], 325 ^ []), apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 326 ^ [])],extension(50 ^ 2,bind([[_53210, _53212], [325 ^ [], 326 ^ []]]))).
% 0.59/1.39 ncf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 326 ^ [])), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 325 ^ []))],extension(62 ^ 3,bind([[_53672, _53674, _53676, _53678], [325 ^ [], 326 ^ [], intersection_point(326 ^ [], 325 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.59/1.39 ncf('1.1.2.1.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(326 ^ [], 325 ^ []))), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), -(apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ []))],extension(84 ^ 4,bind([[_54301, _54303, _54305], [intersection_point(326 ^ [], 325 ^ []), 327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.59/1.39 ncf('1.1.2.1.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(335 ^ 5)).
% 0.59/1.39 ncf('1.1.2.1.1.2',plain,[apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 327 ^ [])],extension(337 ^ 5)).
% 0.59/1.39 ncf('1.1.2.1.2',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 4,bind([[_54929, _54931, _54933], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.59/1.39 ncf('1.1.2.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 5)).
% 0.59/1.39 ncf('1.1.2.1.2.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],reduction('1')).
% 0.59/1.39 ncf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 4,bind([[_53427, _53429], [326 ^ [], 325 ^ []]]))).
% 0.59/1.39 ncf('1.1.2.1.3.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.59/1.39 ncf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 4,bind([[_53210, _53212], [326 ^ [], 325 ^ []]]))).
% 0.59/1.39 ncf('1.1.2.1.4.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.59/1.39 ncf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(326 ^ [], 325 ^ []), 325 ^ []), convergent_lines(326 ^ [], 325 ^ [])],extension(56 ^ 4,bind([[_53427, _53429], [325 ^ [], 326 ^ []]]))).
% 0.59/1.39 ncf('1.1.2.1.5.1',plain,[-(convergent_lines(326 ^ [], 325 ^ []))],reduction('1.1')).
% 0.59/1.39 %-----------------------------------------------------
% 0.59/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------