TSTP Solution File: GEO175+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO175+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO175+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.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 04:35:55 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, [(118 ^ _22942) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _22942) ^ [] : [-(convergent_lines(115 ^ [], 116 ^ []))], (122 ^ _22942) ^ [] : [-(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])))], (124 ^ _22942) ^ [] : [apart_point_and_line(113 ^ [], 115 ^ [])], (126 ^ _22942) ^ [] : [apart_point_and_line(113 ^ [], 116 ^ [])], (2 ^ _22942) ^ [_23025] : [distinct_points(_23025, _23025)], (4 ^ _22942) ^ [_23102] : [distinct_lines(_23102, _23102)], (6 ^ _22942) ^ [_23179] : [convergent_lines(_23179, _23179)], (8 ^ _22942) ^ [_23300, _23302, _23304] : [distinct_points(_23304, _23302), -(distinct_points(_23304, _23300)), -(distinct_points(_23302, _23300))], (18 ^ _22942) ^ [_23624, _23626, _23628] : [distinct_lines(_23628, _23626), -(distinct_lines(_23628, _23624)), -(distinct_lines(_23626, _23624))], (28 ^ _22942) ^ [_23948, _23950, _23952] : [convergent_lines(_23952, _23950), -(convergent_lines(_23952, _23948)), -(convergent_lines(_23950, _23948))], (38 ^ _22942) ^ [_24258, _24260] : [distinct_points(_24260, _24258), apart_point_and_line(_24260, line_connecting(_24260, _24258))], (44 ^ _22942) ^ [_24475, _24477] : [distinct_points(_24477, _24475), apart_point_and_line(_24475, line_connecting(_24477, _24475))], (50 ^ _22942) ^ [_24692, _24694] : [convergent_lines(_24694, _24692), apart_point_and_line(intersection_point(_24694, _24692), _24694)], (56 ^ _22942) ^ [_24909, _24911] : [convergent_lines(_24911, _24909), apart_point_and_line(intersection_point(_24911, _24909), _24909)], (62 ^ _22942) ^ [_25154, _25156, _25158, _25160] : [distinct_points(_25160, _25158), distinct_lines(_25156, _25154), -(apart_point_and_line(_25160, _25156)), -(apart_point_and_line(_25160, _25154)), -(apart_point_and_line(_25158, _25156)), -(apart_point_and_line(_25158, _25154))], (84 ^ _22942) ^ [_25783, _25785, _25787] : [apart_point_and_line(_25787, _25785), -(distinct_points(_25787, _25783)), -(apart_point_and_line(_25783, _25785))], (94 ^ _22942) ^ [_26107, _26109, _26111] : [apart_point_and_line(_26111, _26109), -(distinct_lines(_26109, _26107)), -(apart_point_and_line(_26111, _26107))], (104 ^ _22942) ^ [_26411, _26413, _26415] : [convergent_lines(_26415, _26413), -(distinct_lines(_26413, _26411)), -(convergent_lines(_26415, _26411))]], input).
% 0.33/1.37  ncf('1',plain,[convergent_lines(115 ^ [], 116 ^ []), apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ [])],start(50 ^ 0,bind([[_24692, _24694], [116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 1)).
% 0.33/1.37  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ [])), distinct_points(intersection_point(115 ^ [], 116 ^ []), 113 ^ []), distinct_lines(116 ^ [], 115 ^ []), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ [])), -(apart_point_and_line(113 ^ [], 116 ^ [])), -(apart_point_and_line(113 ^ [], 115 ^ []))],extension(62 ^ 1,bind([[_25154, _25156, _25158, _25160], [115 ^ [], 116 ^ [], 113 ^ [], intersection_point(115 ^ [], 116 ^ [])]]))).
% 0.33/1.37  ncf('1.2.1',plain,[-(distinct_points(intersection_point(115 ^ [], 116 ^ []), 113 ^ [])), distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])), -(distinct_points(113 ^ [], 113 ^ []))],extension(8 ^ 2,bind([[_23300, _23302, _23304], [113 ^ [], intersection_point(115 ^ [], 116 ^ []), 113 ^ []]]))).
% 0.33/1.37  ncf('1.2.1.1',plain,[-(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])))],extension(122 ^ 3)).
% 0.33/1.37  ncf('1.2.1.2',plain,[distinct_points(113 ^ [], 113 ^ [])],extension(2 ^ 3,bind([[_23025], [113 ^ []]]))).
% 0.33/1.37  ncf('1.2.2',plain,[-(distinct_lines(116 ^ [], 115 ^ [])), convergent_lines(115 ^ [], 116 ^ []), -(convergent_lines(115 ^ [], 115 ^ []))],extension(104 ^ 2,bind([[_26411, _26413, _26415], [115 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.2.2.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 3)).
% 0.33/1.37  ncf('1.2.2.2',plain,[convergent_lines(115 ^ [], 115 ^ [])],extension(6 ^ 3,bind([[_23179], [115 ^ []]]))).
% 0.33/1.37  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(56 ^ 2,bind([[_24909, _24911], [116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.2.3.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],lemmata('x')).
% 0.33/1.37  ncf('1.2.4',plain,[apart_point_and_line(113 ^ [], 116 ^ [])],extension(126 ^ 2)).
% 0.33/1.37  ncf('1.2.5',plain,[apart_point_and_line(113 ^ [], 115 ^ [])],extension(124 ^ 2)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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