TSTP Solution File: GEO170+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:12:02 EDT 2023

% Result   : Theorem 0.32s 1.39s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:19:50 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.32/1.39  
% 0.32/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  ncf(matrix, plain, [(113 ^ _21256) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _21256) ^ [] : [apart_point_and_line(109 ^ [], 111 ^ [])], (117 ^ _21256) ^ [] : [apart_point_and_line(110 ^ [], 111 ^ [])], (119 ^ _21256) ^ [] : [-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (2 ^ _21256) ^ [_21339] : [distinct_points(_21339, _21339)], (4 ^ _21256) ^ [_21416] : [distinct_lines(_21416, _21416)], (6 ^ _21256) ^ [_21493] : [convergent_lines(_21493, _21493)], (8 ^ _21256) ^ [_21614, _21616, _21618] : [distinct_points(_21618, _21616), -(distinct_points(_21618, _21614)), -(distinct_points(_21616, _21614))], (18 ^ _21256) ^ [_21938, _21940, _21942] : [distinct_lines(_21942, _21940), -(distinct_lines(_21942, _21938)), -(distinct_lines(_21940, _21938))], (28 ^ _21256) ^ [_22262, _22264, _22266] : [convergent_lines(_22266, _22264), -(convergent_lines(_22266, _22262)), -(convergent_lines(_22264, _22262))], (38 ^ _21256) ^ [_22586, _22588, _22590] : [distinct_points(_22590, _22588), apart_point_and_line(_22586, line_connecting(_22590, _22588)), 45 ^ _21256 : [(46 ^ _21256) ^ [] : [-(distinct_points(_22586, _22590))], (48 ^ _21256) ^ [] : [-(distinct_points(_22586, _22588))]]], (50 ^ _21256) ^ [_22992, _22994, _22996] : [convergent_lines(_22996, _22994), 55 ^ _21256 : [(56 ^ _21256) ^ [] : [apart_point_and_line(_22992, _22996)], (58 ^ _21256) ^ [] : [apart_point_and_line(_22992, _22994)]], -(distinct_points(_22992, intersection_point(_22996, _22994)))], (62 ^ _21256) ^ [_23411, _23413, _23415, _23417] : [distinct_points(_23417, _23415), distinct_lines(_23413, _23411), -(apart_point_and_line(_23417, _23413)), -(apart_point_and_line(_23417, _23411)), -(apart_point_and_line(_23415, _23413)), -(apart_point_and_line(_23415, _23411))], (84 ^ _21256) ^ [_24040, _24042, _24044] : [apart_point_and_line(_24044, _24042), -(distinct_points(_24044, _24040)), -(apart_point_and_line(_24040, _24042))], (104 ^ _21256) ^ [_24654, _24656] : [convergent_lines(_24656, _24654), -(distinct_lines(_24656, _24654))], (94 ^ _21256) ^ [_24364, _24366, _24368] : [apart_point_and_line(_24368, _24366), -(distinct_lines(_24366, _24364)), -(apart_point_and_line(_24368, _24364))]], input).
% 0.32/1.39  ncf('1',plain,[apart_point_and_line(109 ^ [], 111 ^ [])],start(115 ^ 0)).
% 0.32/1.39  ncf('1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), distinct_points(109 ^ [], 110 ^ []), distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 1,bind([[_23411, _23413, _23415, _23417], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.39  ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.32/1.39  ncf('1.1.2',plain,[-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(119 ^ 2)).
% 0.32/1.39  ncf('1.1.3',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_22586, _22588, _22590], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.39  ncf('1.1.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.39  ncf('1.1.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 5,bind([[_21339], [109 ^ []]]))).
% 0.32/1.39  ncf('1.1.4',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],extension(117 ^ 2)).
% 0.32/1.39  ncf('1.1.5',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 2,bind([[_22586, _22588, _22590], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.39  ncf('1.1.5.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.32/1.39  ncf('1.1.5.2',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 5,bind([[_21339], [110 ^ []]]))).
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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