TSTP Solution File: GEO205+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:12:12 EDT 2023

% Result   : Theorem 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n015.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May 19 04:51:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(117 ^ _23621) ^ [] : [-(convergent_lines(113 ^ [], 114 ^ []))], (119 ^ _23621) ^ [] : [distinct_lines(114 ^ [], 115 ^ [])], (121 ^ _23621) ^ [] : [convergent_lines(113 ^ [], 115 ^ []), -(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))], (2 ^ _23621) ^ [_23704] : [distinct_points(_23704, _23704)], (4 ^ _23621) ^ [_23781] : [distinct_lines(_23781, _23781)], (6 ^ _23621) ^ [_23858] : [convergent_lines(_23858, _23858)], (8 ^ _23621) ^ [_23979, _23981, _23983] : [distinct_points(_23983, _23981), -(distinct_points(_23983, _23979)), -(distinct_points(_23981, _23979))], (18 ^ _23621) ^ [_24303, _24305, _24307] : [distinct_lines(_24307, _24305), -(distinct_lines(_24307, _24303)), -(distinct_lines(_24305, _24303))], (28 ^ _23621) ^ [_24627, _24629, _24631] : [convergent_lines(_24631, _24629), -(convergent_lines(_24631, _24627)), -(convergent_lines(_24629, _24627))], (38 ^ _23621) ^ [_24937, _24939] : [distinct_points(_24939, _24937), apart_point_and_line(_24939, line_connecting(_24939, _24937))], (44 ^ _23621) ^ [_25154, _25156] : [distinct_points(_25156, _25154), apart_point_and_line(_25154, line_connecting(_25156, _25154))], (50 ^ _23621) ^ [_25371, _25373] : [convergent_lines(_25373, _25371), apart_point_and_line(intersection_point(_25373, _25371), _25373)], (56 ^ _23621) ^ [_25588, _25590] : [convergent_lines(_25590, _25588), apart_point_and_line(intersection_point(_25590, _25588), _25588)], (62 ^ _23621) ^ [_25833, _25835, _25837, _25839] : [distinct_points(_25839, _25837), distinct_lines(_25835, _25833), -(apart_point_and_line(_25839, _25835)), -(apart_point_and_line(_25839, _25833)), -(apart_point_and_line(_25837, _25835)), -(apart_point_and_line(_25837, _25833))], (84 ^ _23621) ^ [_26462, _26464, _26466] : [apart_point_and_line(_26466, _26464), -(distinct_points(_26466, _26462)), -(apart_point_and_line(_26462, _26464))], (94 ^ _23621) ^ [_26786, _26788, _26790] : [apart_point_and_line(_26790, _26788), -(distinct_lines(_26788, _26786)), -(apart_point_and_line(_26790, _26786))], (104 ^ _23621) ^ [_27090, _27092, _27094] : [convergent_lines(_27094, _27092), -(distinct_lines(_27092, _27090)), -(convergent_lines(_27094, _27090))]], input).
% 0.31/1.37  ncf('1',plain,[distinct_lines(114 ^ [], 115 ^ [])],start(119 ^ 0)).
% 0.31/1.37  ncf('1.1',plain,[-(distinct_lines(114 ^ [], 115 ^ [])), apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 114 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 115 ^ []))],extension(94 ^ 1,bind([[_26786, _26788, _26790], [115 ^ [], 114 ^ [], intersection_point(113 ^ [], 115 ^ [])]]))).
% 0.31/1.37  ncf('1.1.1',plain,[-(apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 114 ^ [])), distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), distinct_lines(114 ^ [], 113 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 113 ^ []))],extension(62 ^ 2,bind([[_25833, _25835, _25837, _25839], [113 ^ [], 114 ^ [], intersection_point(113 ^ [], 115 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.31/1.37  ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ []))), convergent_lines(113 ^ [], 115 ^ [])],extension(121 ^ 3)).
% 0.31/1.37  ncf('1.1.1.1.1',plain,[-(convergent_lines(113 ^ [], 115 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(distinct_lines(114 ^ [], 115 ^ []))],extension(104 ^ 4,bind([[_27090, _27092, _27094], [115 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.1.1.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 5)).
% 0.31/1.37  ncf('1.1.1.1.1.2',plain,[distinct_lines(114 ^ [], 115 ^ [])],reduction('1')).
% 0.31/1.37  ncf('1.1.1.2',plain,[-(distinct_lines(114 ^ [], 113 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(convergent_lines(113 ^ [], 113 ^ []))],extension(104 ^ 3,bind([[_27090, _27092, _27094], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.2.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 4)).
% 0.31/1.37  ncf('1.1.1.2.2',plain,[convergent_lines(113 ^ [], 113 ^ [])],extension(6 ^ 4,bind([[_23858], [113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.3',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(56 ^ 3,bind([[_25588, _25590], [114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.3.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 4)).
% 0.31/1.37  ncf('1.1.1.4',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(50 ^ 3,bind([[_25371, _25373], [114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.4.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 4)).
% 0.31/1.37  ncf('1.1.1.5',plain,[apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 113 ^ []), convergent_lines(113 ^ [], 115 ^ [])],extension(50 ^ 3,bind([[_25371, _25373], [115 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.5.1',plain,[-(convergent_lines(113 ^ [], 115 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(distinct_lines(114 ^ [], 115 ^ []))],extension(104 ^ 4,bind([[_27090, _27092, _27094], [115 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.1.5.1.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 5)).
% 0.31/1.37  ncf('1.1.1.5.1.2',plain,[distinct_lines(114 ^ [], 115 ^ [])],reduction('1')).
% 0.31/1.37  ncf('1.1.2',plain,[apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 115 ^ []), convergent_lines(113 ^ [], 115 ^ [])],extension(56 ^ 2,bind([[_25588, _25590], [115 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.2.1',plain,[-(convergent_lines(113 ^ [], 115 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(distinct_lines(114 ^ [], 115 ^ []))],extension(104 ^ 3,bind([[_27090, _27092, _27094], [115 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.31/1.37  ncf('1.1.2.1.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 4)).
% 0.31/1.37  ncf('1.1.2.1.2',plain,[distinct_lines(114 ^ [], 115 ^ [])],reduction('1')).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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