TSTP Solution File: GEO201+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:12:11 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
% 0.08/0.12 % Problem : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n010.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 03:48:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.36/1.38
% 0.36/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.38 %-----------------------------------------------------
% 0.36/1.38 ncf(matrix, plain, [(112 ^ _22224) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (114 ^ _22224) ^ [] : [-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])))], (2 ^ _22224) ^ [_22307] : [distinct_points(_22307, _22307)], (4 ^ _22224) ^ [_22384] : [distinct_lines(_22384, _22384)], (6 ^ _22224) ^ [_22461] : [convergent_lines(_22461, _22461)], (8 ^ _22224) ^ [_22582, _22584, _22586] : [distinct_points(_22586, _22584), -(distinct_points(_22586, _22582)), -(distinct_points(_22584, _22582))], (18 ^ _22224) ^ [_22906, _22908, _22910] : [distinct_lines(_22910, _22908), -(distinct_lines(_22910, _22906)), -(distinct_lines(_22908, _22906))], (28 ^ _22224) ^ [_23230, _23232, _23234] : [convergent_lines(_23234, _23232), -(convergent_lines(_23234, _23230)), -(convergent_lines(_23232, _23230))], (38 ^ _22224) ^ [_23554, _23556, _23558] : [distinct_points(_23558, _23556), apart_point_and_line(_23554, line_connecting(_23558, _23556)), 45 ^ _22224 : [(46 ^ _22224) ^ [] : [-(distinct_points(_23554, _23558))], (48 ^ _22224) ^ [] : [-(distinct_points(_23554, _23556))]]], (50 ^ _22224) ^ [_23960, _23962, _23964] : [convergent_lines(_23964, _23962), 55 ^ _22224 : [(56 ^ _22224) ^ [] : [apart_point_and_line(_23960, _23964)], (58 ^ _22224) ^ [] : [apart_point_and_line(_23960, _23962)]], -(distinct_points(_23960, intersection_point(_23964, _23962)))], (62 ^ _22224) ^ [_24379, _24381, _24383, _24385] : [distinct_points(_24385, _24383), distinct_lines(_24381, _24379), -(apart_point_and_line(_24385, _24381)), -(apart_point_and_line(_24385, _24379)), -(apart_point_and_line(_24383, _24381)), -(apart_point_and_line(_24383, _24379))], (84 ^ _22224) ^ [_25008, _25010, _25012] : [apart_point_and_line(_25012, _25010), -(distinct_points(_25012, _25008)), -(apart_point_and_line(_25008, _25010))], (104 ^ _22224) ^ [_25622, _25624] : [convergent_lines(_25624, _25622), -(distinct_lines(_25624, _25622))], (94 ^ _22224) ^ [_25332, _25334, _25336] : [apart_point_and_line(_25336, _25334), -(distinct_lines(_25334, _25332)), -(apart_point_and_line(_25336, _25332))]], input).
% 0.36/1.38 ncf('1',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],start(2 ^ 0,bind([[_22307], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.36/1.38 ncf('1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(8 ^ 1,bind([[_22582, _22584, _22586], [intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.36/1.38 ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(114 ^ 2)).
% 0.36/1.38 ncf('1.1.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 2,bind([[_24379, _24381, _24383, _24385], [110 ^ [], 109 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.36/1.38 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 3,bind([[_22906, _22908, _22910], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 4,bind([[_22906, _22908, _22910], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.1.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 5,bind([[_25622, _25624], [110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(112 ^ 6)).
% 0.36/1.38 ncf('1.1.2.1.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 5,bind([[_22384], [110 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 4,bind([[_22384], [110 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.2',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_23960, _23962, _23964], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.2.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_23230, _23232, _23234], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(112 ^ 5)).
% 0.36/1.38 ncf('1.1.2.2.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_22461], [109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.2.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_22307], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.36/1.38 ncf('1.1.2.3',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_23960, _23962, _23964], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.3.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_23230, _23232, _23234], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.3.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(112 ^ 5)).
% 0.36/1.38 ncf('1.1.2.3.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_22461], [109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.3.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_22307], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.36/1.38 ncf('1.1.2.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_23960, _23962, _23964], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(112 ^ 4)).
% 0.36/1.38 ncf('1.1.2.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],reduction('1')).
% 0.36/1.38 ncf('1.1.2.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_23960, _23962, _23964], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.36/1.38 ncf('1.1.2.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(112 ^ 4)).
% 0.36/1.38 ncf('1.1.2.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],reduction('1')).
% 0.36/1.38 %-----------------------------------------------------
% 0.36/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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