TSTP Solution File: GEO185+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO185+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 11:12:06 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % 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 04:50:03 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(118 ^ _22723) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _22723) ^ [] : [-(convergent_lines(115 ^ [], 116 ^ []))], (122 ^ _22723) ^ [] : [distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ []))], (124 ^ _22723) ^ [] : [-(apart_point_and_line(113 ^ [], 115 ^ [])), -(apart_point_and_line(113 ^ [], 116 ^ []))], (2 ^ _22723) ^ [_22806] : [distinct_points(_22806, _22806)], (4 ^ _22723) ^ [_22883] : [distinct_lines(_22883, _22883)], (6 ^ _22723) ^ [_22960] : [convergent_lines(_22960, _22960)], (8 ^ _22723) ^ [_23081, _23083, _23085] : [distinct_points(_23085, _23083), -(distinct_points(_23085, _23081)), -(distinct_points(_23083, _23081))], (18 ^ _22723) ^ [_23405, _23407, _23409] : [distinct_lines(_23409, _23407), -(distinct_lines(_23409, _23405)), -(distinct_lines(_23407, _23405))], (28 ^ _22723) ^ [_23729, _23731, _23733] : [convergent_lines(_23733, _23731), -(convergent_lines(_23733, _23729)), -(convergent_lines(_23731, _23729))], (38 ^ _22723) ^ [_24039, _24041] : [distinct_points(_24041, _24039), apart_point_and_line(_24041, line_connecting(_24041, _24039))], (44 ^ _22723) ^ [_24256, _24258] : [distinct_points(_24258, _24256), apart_point_and_line(_24256, line_connecting(_24258, _24256))], (50 ^ _22723) ^ [_24473, _24475] : [convergent_lines(_24475, _24473), apart_point_and_line(intersection_point(_24475, _24473), _24475)], (56 ^ _22723) ^ [_24690, _24692] : [convergent_lines(_24692, _24690), apart_point_and_line(intersection_point(_24692, _24690), _24690)], (62 ^ _22723) ^ [_24935, _24937, _24939, _24941] : [distinct_points(_24941, _24939), distinct_lines(_24937, _24935), -(apart_point_and_line(_24941, _24937)), -(apart_point_and_line(_24941, _24935)), -(apart_point_and_line(_24939, _24937)), -(apart_point_and_line(_24939, _24935))], (84 ^ _22723) ^ [_25564, _25566, _25568] : [apart_point_and_line(_25568, _25566), -(distinct_points(_25568, _25564)), -(apart_point_and_line(_25564, _25566))], (94 ^ _22723) ^ [_25888, _25890, _25892] : [apart_point_and_line(_25892, _25890), -(distinct_lines(_25890, _25888)), -(apart_point_and_line(_25892, _25888))], (104 ^ _22723) ^ [_26192, _26194, _26196] : [convergent_lines(_26196, _26194), -(distinct_lines(_26194, _26192)), -(convergent_lines(_26196, _26192))]], input).
% 0.34/1.37  ncf('1',plain,[distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ []))],start(122 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ []))), apart_point_and_line(113 ^ [], 115 ^ []), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ []))],extension(84 ^ 1,bind([[_25564, _25566, _25568], [intersection_point(115 ^ [], 116 ^ []), 115 ^ [], 113 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(apart_point_and_line(113 ^ [], 115 ^ [])), -(apart_point_and_line(113 ^ [], 116 ^ []))],extension(124 ^ 2)).
% 0.34/1.37  ncf('1.1.1.1',plain,[apart_point_and_line(113 ^ [], 116 ^ []), -(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ []))), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ []))],extension(84 ^ 3,bind([[_25564, _25566, _25568], [intersection_point(115 ^ [], 116 ^ []), 116 ^ [], 113 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1.1',plain,[distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ []))],reduction('1')).
% 0.34/1.37  ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(56 ^ 4,bind([[_24690, _24692], [116 ^ [], 115 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1.2.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 5)).
% 0.34/1.37  ncf('1.1.2',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(50 ^ 2,bind([[_24473, _24475], [116 ^ [], 115 ^ []]]))).
% 0.34/1.37  ncf('1.1.2.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------