TSTP Solution File: GEO193+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO193+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:12:09 EDT 2023

% Result   : Theorem 1.17s 1.37s
% Output   : Proof 1.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO193+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 04:03:15 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.17/1.37  
% 1.17/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.17/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.17/1.37  %-----------------------------------------------------
% 1.17/1.37  ncf(matrix, plain, [(113 ^ _22895) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _22895) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _22895) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _22895) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))], (121 ^ _22895) ^ [] : [apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ [])], (2 ^ _22895) ^ [_22978] : [distinct_points(_22978, _22978)], (4 ^ _22895) ^ [_23055] : [distinct_lines(_23055, _23055)], (6 ^ _22895) ^ [_23132] : [convergent_lines(_23132, _23132)], (8 ^ _22895) ^ [_23253, _23255, _23257] : [distinct_points(_23257, _23255), -(distinct_points(_23257, _23253)), -(distinct_points(_23255, _23253))], (18 ^ _22895) ^ [_23577, _23579, _23581] : [distinct_lines(_23581, _23579), -(distinct_lines(_23581, _23577)), -(distinct_lines(_23579, _23577))], (28 ^ _22895) ^ [_23901, _23903, _23905] : [convergent_lines(_23905, _23903), -(convergent_lines(_23905, _23901)), -(convergent_lines(_23903, _23901))], (38 ^ _22895) ^ [_24225, _24227, _24229] : [distinct_points(_24229, _24227), apart_point_and_line(_24225, line_connecting(_24229, _24227)), 45 ^ _22895 : [(46 ^ _22895) ^ [] : [-(distinct_points(_24225, _24229))], (48 ^ _22895) ^ [] : [-(distinct_points(_24225, _24227))]]], (50 ^ _22895) ^ [_24631, _24633, _24635] : [convergent_lines(_24635, _24633), 55 ^ _22895 : [(56 ^ _22895) ^ [] : [apart_point_and_line(_24631, _24635)], (58 ^ _22895) ^ [] : [apart_point_and_line(_24631, _24633)]], -(distinct_points(_24631, intersection_point(_24635, _24633)))], (62 ^ _22895) ^ [_25050, _25052, _25054, _25056] : [distinct_points(_25056, _25054), distinct_lines(_25052, _25050), -(apart_point_and_line(_25056, _25052)), -(apart_point_and_line(_25056, _25050)), -(apart_point_and_line(_25054, _25052)), -(apart_point_and_line(_25054, _25050))], (84 ^ _22895) ^ [_25679, _25681, _25683] : [apart_point_and_line(_25683, _25681), -(distinct_points(_25683, _25679)), -(apart_point_and_line(_25679, _25681))], (104 ^ _22895) ^ [_26293, _26295] : [convergent_lines(_26295, _26293), -(distinct_lines(_26295, _26293))], (94 ^ _22895) ^ [_26003, _26005, _26007] : [apart_point_and_line(_26007, _26005), -(distinct_lines(_26005, _26003)), -(apart_point_and_line(_26007, _26003))]], input).
% 1.17/1.37  ncf('1',plain,[apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ [])],start(121 ^ 0)).
% 1.17/1.37  ncf('1.1',plain,[-(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ [])), distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 1,bind([[_25050, _25052, _25054, _25056], [110 ^ [], 109 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])]]))).
% 1.17/1.37  ncf('1.1.1',plain,[-(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(8 ^ 2,bind([[_23253, _23255, _23257], [intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.17/1.37  ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))), convergent_lines(111 ^ [], 110 ^ []), 56 : apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],extension(50 ^ 3,bind([[_24631, _24633, _24635], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 111 ^ []]]))).
% 1.17/1.37  ncf('1.1.1.1.1',plain,[-(convergent_lines(111 ^ [], 110 ^ []))],extension(115 ^ 4)).
% 1.17/1.37  ncf('1.1.1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))],extension(119 ^ 6)).
% 1.17/1.37  ncf('1.1.1.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22978], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.17/1.37  ncf('1.1.2',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 2,bind([[_23577, _23579, _23581], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 1.17/1.37  ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 3,bind([[_26293, _26295], [110 ^ [], 109 ^ []]]))).
% 1.17/1.37  ncf('1.1.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 1.17/1.37  ncf('1.1.2.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 3,bind([[_23055], [110 ^ []]]))).
% 1.17/1.37  ncf('1.1.3',plain,[apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 110 ^ []), convergent_lines(111 ^ [], 110 ^ []), -(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24631, _24633, _24635], [intersection_point(111 ^ [], 110 ^ []), 110 ^ [], 111 ^ []]]))).
% 1.17/1.37  ncf('1.1.3.1',plain,[-(convergent_lines(111 ^ [], 110 ^ []))],extension(115 ^ 3)).
% 1.17/1.37  ncf('1.1.3.2',plain,[distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22978], [intersection_point(111 ^ [], 110 ^ [])]]))).
% 1.17/1.37  ncf('1.1.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24631, _24633, _24635], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.17/1.37  ncf('1.1.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 1.17/1.37  ncf('1.1.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22978], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.17/1.37  ncf('1.1.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24631, _24633, _24635], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.17/1.37  ncf('1.1.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 1.17/1.37  ncf('1.1.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_22978], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.17/1.37  %-----------------------------------------------------
% 1.17/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------