TSTP Solution File: GEO202+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 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 11:12:11 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 04:19:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(117 ^ _23042) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (119 ^ _23042) ^ [] : [-(distinct_points(113 ^ [], 115 ^ []))], (121 ^ _23042) ^ [] : [-(convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])))], (123 ^ _23042) ^ [] : [-(distinct_points(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), 113 ^ []))], (2 ^ _23042) ^ [_23125] : [distinct_points(_23125, _23125)], (4 ^ _23042) ^ [_23202] : [distinct_lines(_23202, _23202)], (6 ^ _23042) ^ [_23279] : [convergent_lines(_23279, _23279)], (8 ^ _23042) ^ [_23400, _23402, _23404] : [distinct_points(_23404, _23402), -(distinct_points(_23404, _23400)), -(distinct_points(_23402, _23400))], (18 ^ _23042) ^ [_23724, _23726, _23728] : [distinct_lines(_23728, _23726), -(distinct_lines(_23728, _23724)), -(distinct_lines(_23726, _23724))], (28 ^ _23042) ^ [_24048, _24050, _24052] : [convergent_lines(_24052, _24050), -(convergent_lines(_24052, _24048)), -(convergent_lines(_24050, _24048))], (38 ^ _23042) ^ [_24358, _24360] : [distinct_points(_24360, _24358), apart_point_and_line(_24360, line_connecting(_24360, _24358))], (44 ^ _23042) ^ [_24575, _24577] : [distinct_points(_24577, _24575), apart_point_and_line(_24575, line_connecting(_24577, _24575))], (50 ^ _23042) ^ [_24792, _24794] : [convergent_lines(_24794, _24792), apart_point_and_line(intersection_point(_24794, _24792), _24794)], (56 ^ _23042) ^ [_25009, _25011] : [convergent_lines(_25011, _25009), apart_point_and_line(intersection_point(_25011, _25009), _25009)], (62 ^ _23042) ^ [_25254, _25256, _25258, _25260] : [distinct_points(_25260, _25258), distinct_lines(_25256, _25254), -(apart_point_and_line(_25260, _25256)), -(apart_point_and_line(_25260, _25254)), -(apart_point_and_line(_25258, _25256)), -(apart_point_and_line(_25258, _25254))], (84 ^ _23042) ^ [_25883, _25885, _25887] : [apart_point_and_line(_25887, _25885), -(distinct_points(_25887, _25883)), -(apart_point_and_line(_25883, _25885))], (94 ^ _23042) ^ [_26207, _26209, _26211] : [apart_point_and_line(_26211, _26209), -(distinct_lines(_26209, _26207)), -(apart_point_and_line(_26211, _26207))], (104 ^ _23042) ^ [_26511, _26513, _26515] : [convergent_lines(_26515, _26513), -(distinct_lines(_26513, _26511)), -(convergent_lines(_26515, _26511))]], input).
% 0.32/1.37  ncf('1',plain,[distinct_points(113 ^ [], 114 ^ []), apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))],start(38 ^ 0,bind([[_24358, _24360], [114 ^ [], 113 ^ []]]))).
% 0.32/1.37  ncf('1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(117 ^ 1)).
% 0.32/1.37  ncf('1.2',plain,[-(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), distinct_points(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), 113 ^ []), distinct_lines(line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), line_connecting(113 ^ [], 115 ^ []))), -(apart_point_and_line(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ [])))],extension(62 ^ 1,bind([[_25254, _25256, _25258, _25260], [line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []), 113 ^ [], intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []))]]))).
% 0.32/1.37  ncf('1.2.1',plain,[-(distinct_points(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), 113 ^ []))],extension(123 ^ 2)).
% 0.32/1.37  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ []))), convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), -(convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 114 ^ [])))],extension(104 ^ 2,bind([[_26511, _26513, _26515], [line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ [])]]))).
% 0.32/1.37  ncf('1.2.2.1',plain,[-(convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])))],extension(121 ^ 3)).
% 0.32/1.37  ncf('1.2.2.2',plain,[convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 114 ^ []))],extension(6 ^ 3,bind([[_23279], [line_connecting(113 ^ [], 114 ^ [])]]))).
% 0.32/1.37  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), line_connecting(113 ^ [], 115 ^ [])), convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []))],extension(56 ^ 2,bind([[_25009, _25011], [line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ [])]]))).
% 0.32/1.37  ncf('1.2.3.1',plain,[-(convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])))],extension(121 ^ 3)).
% 0.32/1.37  ncf('1.2.4',plain,[apart_point_and_line(intersection_point(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), line_connecting(113 ^ [], 114 ^ [])), convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []))],extension(50 ^ 2,bind([[_24792, _24794], [line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ [])]]))).
% 0.32/1.37  ncf('1.2.4.1',plain,[-(convergent_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])))],extension(121 ^ 3)).
% 0.32/1.37  ncf('1.2.5',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ [])), distinct_points(113 ^ [], 115 ^ [])],extension(38 ^ 2,bind([[_24358, _24360], [115 ^ [], 113 ^ []]]))).
% 0.32/1.37  ncf('1.2.5.1',plain,[-(distinct_points(113 ^ [], 115 ^ []))],extension(119 ^ 3)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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