TSTP Solution File: GEO186+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO186+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:12:07 EDT 2023

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO186+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:46:08 EDT 2023
% 0.13/0.35  % 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 ^ _22010) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _22010) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _22010) ^ [] : [apart_point_and_line(109 ^ [], 111 ^ [])], (120 ^ _22010) ^ [] : [apart_point_and_line(109 ^ [], 112 ^ [])], (122 ^ _22010) ^ [] : [-(distinct_points(109 ^ [], intersection_point(111 ^ [], 112 ^ [])))], (2 ^ _22010) ^ [_22093] : [distinct_points(_22093, _22093)], (4 ^ _22010) ^ [_22170] : [distinct_lines(_22170, _22170)], (6 ^ _22010) ^ [_22247] : [convergent_lines(_22247, _22247)], (8 ^ _22010) ^ [_22368, _22370, _22372] : [distinct_points(_22372, _22370), -(distinct_points(_22372, _22368)), -(distinct_points(_22370, _22368))], (18 ^ _22010) ^ [_22692, _22694, _22696] : [distinct_lines(_22696, _22694), -(distinct_lines(_22696, _22692)), -(distinct_lines(_22694, _22692))], (28 ^ _22010) ^ [_23016, _23018, _23020] : [convergent_lines(_23020, _23018), -(convergent_lines(_23020, _23016)), -(convergent_lines(_23018, _23016))], (38 ^ _22010) ^ [_23340, _23342, _23344] : [distinct_points(_23344, _23342), apart_point_and_line(_23340, line_connecting(_23344, _23342)), 45 ^ _22010 : [(46 ^ _22010) ^ [] : [-(distinct_points(_23340, _23344))], (48 ^ _22010) ^ [] : [-(distinct_points(_23340, _23342))]]], (50 ^ _22010) ^ [_23746, _23748, _23750] : [convergent_lines(_23750, _23748), 55 ^ _22010 : [(56 ^ _22010) ^ [] : [apart_point_and_line(_23746, _23750)], (58 ^ _22010) ^ [] : [apart_point_and_line(_23746, _23748)]], -(distinct_points(_23746, intersection_point(_23750, _23748)))], (62 ^ _22010) ^ [_24165, _24167, _24169, _24171] : [distinct_points(_24171, _24169), distinct_lines(_24167, _24165), -(apart_point_and_line(_24171, _24167)), -(apart_point_and_line(_24171, _24165)), -(apart_point_and_line(_24169, _24167)), -(apart_point_and_line(_24169, _24165))], (84 ^ _22010) ^ [_24794, _24796, _24798] : [apart_point_and_line(_24798, _24796), -(distinct_points(_24798, _24794)), -(apart_point_and_line(_24794, _24796))], (104 ^ _22010) ^ [_25408, _25410] : [convergent_lines(_25410, _25408), -(distinct_lines(_25410, _25408))], (94 ^ _22010) ^ [_25118, _25120, _25122] : [apart_point_and_line(_25122, _25120), -(distinct_lines(_25120, _25118)), -(apart_point_and_line(_25122, _25118))]], input).
% 0.33/1.38  ncf('1',plain,[distinct_points(intersection_point(111 ^ [], 112 ^ []), intersection_point(111 ^ [], 112 ^ []))],start(2 ^ 0,bind([[_22093], [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([[_23746, _23748, _23750], [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([[_24165, _24167, _24169, _24171], [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(122 ^ 5)).
% 0.33/1.38  ncf('1.1.2.2',plain,[-(distinct_lines(111 ^ [], 112 ^ [])), convergent_lines(111 ^ [], 112 ^ [])],extension(104 ^ 5,bind([[_25408, _25410], [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(118 ^ 5)).
% 0.33/1.38  ncf('1.1.2.4',plain,[apart_point_and_line(109 ^ [], 112 ^ [])],extension(120 ^ 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
%------------------------------------------------------------------------------