TSTP Solution File: GEO175+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:12:04 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 04:58:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(114 ^ _21800) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _21800) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _21800) ^ [] : [-(distinct_points(109 ^ [], intersection_point(111 ^ [], 112 ^ [])))], (120 ^ _21800) ^ [] : [apart_point_and_line(109 ^ [], 111 ^ [])], (122 ^ _21800) ^ [] : [apart_point_and_line(109 ^ [], 112 ^ [])], (2 ^ _21800) ^ [_21883] : [distinct_points(_21883, _21883)], (4 ^ _21800) ^ [_21960] : [distinct_lines(_21960, _21960)], (6 ^ _21800) ^ [_22037] : [convergent_lines(_22037, _22037)], (8 ^ _21800) ^ [_22158, _22160, _22162] : [distinct_points(_22162, _22160), -(distinct_points(_22162, _22158)), -(distinct_points(_22160, _22158))], (18 ^ _21800) ^ [_22482, _22484, _22486] : [distinct_lines(_22486, _22484), -(distinct_lines(_22486, _22482)), -(distinct_lines(_22484, _22482))], (28 ^ _21800) ^ [_22806, _22808, _22810] : [convergent_lines(_22810, _22808), -(convergent_lines(_22810, _22806)), -(convergent_lines(_22808, _22806))], (38 ^ _21800) ^ [_23130, _23132, _23134] : [distinct_points(_23134, _23132), apart_point_and_line(_23130, line_connecting(_23134, _23132)), 45 ^ _21800 : [(46 ^ _21800) ^ [] : [-(distinct_points(_23130, _23134))], (48 ^ _21800) ^ [] : [-(distinct_points(_23130, _23132))]]], (50 ^ _21800) ^ [_23536, _23538, _23540] : [convergent_lines(_23540, _23538), 55 ^ _21800 : [(56 ^ _21800) ^ [] : [apart_point_and_line(_23536, _23540)], (58 ^ _21800) ^ [] : [apart_point_and_line(_23536, _23538)]], -(distinct_points(_23536, intersection_point(_23540, _23538)))], (62 ^ _21800) ^ [_23955, _23957, _23959, _23961] : [distinct_points(_23961, _23959), distinct_lines(_23957, _23955), -(apart_point_and_line(_23961, _23957)), -(apart_point_and_line(_23961, _23955)), -(apart_point_and_line(_23959, _23957)), -(apart_point_and_line(_23959, _23955))], (84 ^ _21800) ^ [_24584, _24586, _24588] : [apart_point_and_line(_24588, _24586), -(distinct_points(_24588, _24584)), -(apart_point_and_line(_24584, _24586))], (104 ^ _21800) ^ [_25198, _25200] : [convergent_lines(_25200, _25198), -(distinct_lines(_25200, _25198))], (94 ^ _21800) ^ [_24908, _24910, _24912] : [apart_point_and_line(_24912, _24910), -(distinct_lines(_24910, _24908)), -(apart_point_and_line(_24912, _24908))]], input).
% 0.33/1.38  ncf('1',plain,[distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ []))],start(2 ^ 0,bind([[_21883], [intersection_point(111 ^ [], 112 ^ [])]]))).
% 0.33/1.38  ncf('1.1',plain,[-(distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ []))), convergent_lines(111 ^ [], 112 ^ []), 56 : apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 111 ^ [])],extension(50 ^ 1,bind([[_23536, _23538, _23540], [intersection_point(111 ^ [], 112 ^ []), 112 ^ [], 111 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 2)).
% 0.33/1.38  ncf('1.1.2',plain,[-(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 111 ^ [])), distinct_points(109 ^ [], intersection_point(111 ^ [], 112 ^ [])), distinct_lines(111 ^ [], 112 ^ []), -(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(109 ^ [], 112 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 112 ^ []))],extension(62 ^ 4,bind([[_23955, _23957, _23959, _23961], [112 ^ [], 111 ^ [], intersection_point(111 ^ [], 112 ^ []), 109 ^ []]]))).
% 0.33/1.38  ncf('1.1.2.1',plain,[-(distinct_points(109 ^ [], intersection_point(111 ^ [], 112 ^ [])))],extension(118 ^ 5)).
% 0.33/1.38  ncf('1.1.2.2',plain,[-(distinct_lines(111 ^ [], 112 ^ [])), convergent_lines(111 ^ [], 112 ^ [])],extension(104 ^ 5,bind([[_25198, _25200], [112 ^ [], 111 ^ []]]))).
% 0.33/1.38  ncf('1.1.2.2.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 6)).
% 0.33/1.38  ncf('1.1.2.3',plain,[apart_point_and_line(109 ^ [], 111 ^ [])],extension(120 ^ 5)).
% 0.33/1.38  ncf('1.1.2.4',plain,[apart_point_and_line(109 ^ [], 112 ^ [])],extension(122 ^ 5)).
% 0.33/1.38  ncf('1.1.2.5',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 112 ^ [])],extension(58 ^ 5)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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