TSTP Solution File: GEO203+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 0.34s 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  : GEO203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 04:34:19 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(117 ^ _22633) ^ [] : [-(convergent_lines(113 ^ [], 114 ^ []))], (119 ^ _22633) ^ [] : [-(convergent_lines(113 ^ [], 115 ^ []))], (121 ^ _22633) ^ [] : [-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))], (123 ^ _22633) ^ [] : [-(distinct_lines(line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), 113 ^ []))], (2 ^ _22633) ^ [_22716] : [distinct_points(_22716, _22716)], (4 ^ _22633) ^ [_22793] : [distinct_lines(_22793, _22793)], (6 ^ _22633) ^ [_22870] : [convergent_lines(_22870, _22870)], (8 ^ _22633) ^ [_22991, _22993, _22995] : [distinct_points(_22995, _22993), -(distinct_points(_22995, _22991)), -(distinct_points(_22993, _22991))], (18 ^ _22633) ^ [_23315, _23317, _23319] : [distinct_lines(_23319, _23317), -(distinct_lines(_23319, _23315)), -(distinct_lines(_23317, _23315))], (28 ^ _22633) ^ [_23639, _23641, _23643] : [convergent_lines(_23643, _23641), -(convergent_lines(_23643, _23639)), -(convergent_lines(_23641, _23639))], (38 ^ _22633) ^ [_23949, _23951] : [distinct_points(_23951, _23949), apart_point_and_line(_23951, line_connecting(_23951, _23949))], (44 ^ _22633) ^ [_24166, _24168] : [distinct_points(_24168, _24166), apart_point_and_line(_24166, line_connecting(_24168, _24166))], (50 ^ _22633) ^ [_24383, _24385] : [convergent_lines(_24385, _24383), apart_point_and_line(intersection_point(_24385, _24383), _24385)], (56 ^ _22633) ^ [_24600, _24602] : [convergent_lines(_24602, _24600), apart_point_and_line(intersection_point(_24602, _24600), _24600)], (62 ^ _22633) ^ [_24845, _24847, _24849, _24851] : [distinct_points(_24851, _24849), distinct_lines(_24847, _24845), -(apart_point_and_line(_24851, _24847)), -(apart_point_and_line(_24851, _24845)), -(apart_point_and_line(_24849, _24847)), -(apart_point_and_line(_24849, _24845))], (84 ^ _22633) ^ [_25474, _25476, _25478] : [apart_point_and_line(_25478, _25476), -(distinct_points(_25478, _25474)), -(apart_point_and_line(_25474, _25476))], (94 ^ _22633) ^ [_25798, _25800, _25802] : [apart_point_and_line(_25802, _25800), -(distinct_lines(_25800, _25798)), -(apart_point_and_line(_25802, _25798))], (104 ^ _22633) ^ [_26102, _26104, _26106] : [convergent_lines(_26106, _26104), -(distinct_lines(_26104, _26102)), -(convergent_lines(_26106, _26102))]], input).
% 0.34/1.37  ncf('1',plain,[distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))],start(38 ^ 0,bind([[_23949, _23951], [intersection_point(113 ^ [], 115 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.34/1.37  ncf('1.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))],extension(121 ^ 1)).
% 0.34/1.37  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))), distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), distinct_lines(line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), 113 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))), -(apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 113 ^ []))],extension(62 ^ 1,bind([[_24845, _24847, _24849, _24851], [113 ^ [], line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), intersection_point(113 ^ [], 115 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))],extension(121 ^ 2)).
% 0.34/1.37  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])), 113 ^ []))],extension(123 ^ 2)).
% 0.34/1.37  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(50 ^ 2,bind([[_24383, _24385], [114 ^ [], 113 ^ []]]))).
% 0.34/1.37  ncf('1.2.3.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 3)).
% 0.34/1.37  ncf('1.2.4',plain,[apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), line_connecting(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ []))), distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ []))],extension(44 ^ 2,bind([[_24166, _24168], [intersection_point(113 ^ [], 115 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.34/1.37  ncf('1.2.4.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(113 ^ [], 115 ^ [])))],lemmata('[1].x')).
% 0.34/1.37  ncf('1.2.5',plain,[apart_point_and_line(intersection_point(113 ^ [], 115 ^ []), 113 ^ []), convergent_lines(113 ^ [], 115 ^ [])],extension(50 ^ 2,bind([[_24383, _24385], [115 ^ [], 113 ^ []]]))).
% 0.34/1.37  ncf('1.2.5.1',plain,[-(convergent_lines(113 ^ [], 115 ^ []))],extension(119 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------