TSTP Solution File: GEO215+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zIlHGR6RHk true

% Computer : n028.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 : Wed Aug 30 23:57:42 EDT 2023

% Result   : Theorem 0.56s 0.93s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   41 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   70 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  211 (  23   ~;  31   |;   0   &; 150   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   51 (   0   ^;  51   !;   0   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $i > $i > $o ).

thf(distinct_lines_type,type,
    distinct_lines: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

thf(apart_point_and_line_type,type,
    apart_point_and_line: $i > $i > $o ).

thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(con,conjecture,
    ! [L: $i,M: $i,N: $i] :
      ( ( convergent_lines @ L @ M )
     => ( ( unorthogonal_lines @ L @ N )
        | ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i,N: $i] :
        ( ( convergent_lines @ L @ M )
       => ( ( unorthogonal_lines @ L @ N )
          | ( unorthogonal_lines @ M @ N ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl28,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ceq3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( distinct_lines @ X @ Y ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(apart5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( ( distinct_lines @ X @ Z )
        | ( distinct_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X2 )
      | ( distinct_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart5]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X1 @ X0 )
      | ( distinct_lines @ X1 @ X2 )
      | ( distinct_lines @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk_ @ X0 )
      | ( distinct_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl51]) ).

thf(apart2,axiom,
    ! [X: $i] :
      ~ ( distinct_lines @ X @ X ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ~ ( distinct_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart2]) ).

thf(zip_derived_cl80,plain,
    distinct_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl1]) ).

thf(ouo1,axiom,
    ! [A: $i,L: $i,M: $i,N: $i] :
      ( ( distinct_lines @ L @ M )
     => ( ( apart_point_and_line @ A @ L )
        | ( apart_point_and_line @ A @ M )
        | ( unorthogonal_lines @ L @ N )
        | ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X0 @ X2 )
      | ~ ( distinct_lines @ X2 @ X1 )
      | ( unorthogonal_lines @ X2 @ X3 )
      | ( unorthogonal_lines @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ouo1]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ X0 @ sk__1 )
      | ( apart_point_and_line @ X0 @ sk_ )
      | ( unorthogonal_lines @ sk_ @ X1 )
      | ( unorthogonal_lines @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl25]) ).

thf(zip_derived_cl26,plain,
    ~ ( unorthogonal_lines @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ! [X0: $i] :
      ( ( unorthogonal_lines @ sk_ @ sk__2 )
      | ( apart_point_and_line @ X0 @ sk_ )
      | ( apart_point_and_line @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl26]) ).

thf(zip_derived_cl27,plain,
    ~ ( unorthogonal_lines @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ sk__1 )
      | ( apart_point_and_line @ X0 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl363,zip_derived_cl27]) ).

thf(con2,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( ( apart_point_and_line @ Z @ X )
          | ( apart_point_and_line @ Z @ Y ) )
       => ( distinct_points @ Z @ ( intersection_point @ X @ Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(apart1,axiom,
    ! [X: $i] :
      ~ ( distinct_points @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X0 )
      | ~ ( convergent_lines @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl962,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ X0 @ sk__1 ) @ sk_ )
      | ~ ( convergent_lines @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl957,zip_derived_cl58]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
      | ~ ( convergent_lines @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl995,plain,
    ( ~ ( convergent_lines @ sk_ @ sk__1 )
    | ~ ( convergent_lines @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl60]) ).

thf(zip_derived_cl28_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_003,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl996,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl28,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zIlHGR6RHk true
% 0.13/0.34  % Computer : n028.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
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 23:30:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.49/0.64  % Total configuration time : 435
% 0.49/0.64  % Estimated wc time : 1092
% 0.49/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.93  % Solved by fo/fo6_bce.sh.
% 0.56/0.93  % BCE start: 29
% 0.56/0.93  % BCE eliminated: 0
% 0.56/0.93  % PE start: 29
% 0.56/0.93  logic: neq
% 0.56/0.93  % PE eliminated: 1
% 0.56/0.93  % done 222 iterations in 0.211s
% 0.56/0.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.93  % SZS output start Refutation
% See solution above
% 0.56/0.93  
% 0.56/0.93  
% 0.56/0.93  % Terminating...
% 0.61/1.04  % Runner terminated.
% 0.61/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------