TSTP Solution File: GEO172+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXTgZ4R1Np true

% Computer : n017.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 23:57:06 EDT 2023

% Result   : Theorem 1.28s 0.76s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   42 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   77 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  257 (  30   ~;  31   |;   5   &; 184   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  48   !;   0   ?;  48   :)

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

thf(sk__type,type,
    sk_: $i ).

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

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(con,conjecture,
    ! [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(zf_stmt_0,negated_conjecture,
    ~ ! [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 ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl17,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_cl25,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_cl41,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk_ @ X0 )
      | ( distinct_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl25]) ).

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_cl43,plain,
    distinct_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1]) ).

thf(zip_derived_cl14,plain,
    distinct_points @ sk__2 @ ( intersection_point @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cu1,axiom,
    ! [X: $i,Y: $i,U: $i,V: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( distinct_lines @ U @ V ) )
     => ( ( apart_point_and_line @ X @ U )
        | ( apart_point_and_line @ X @ V )
        | ( apart_point_and_line @ Y @ U )
        | ( apart_point_and_line @ Y @ V ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X2 @ X1 )
      | ~ ( distinct_points @ X2 @ X0 )
      | ~ ( distinct_lines @ X1 @ X3 )
      | ( apart_point_and_line @ X2 @ X3 )
      | ( apart_point_and_line @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[cu1]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 )
      | ~ ( distinct_lines @ X0 @ X1 )
      | ( apart_point_and_line @ sk__2 @ X1 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).

thf(zip_derived_cl162,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ sk__2 @ sk_ )
    | ( apart_point_and_line @ sk__2 @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl48]) ).

thf(zip_derived_cl16,plain,
    ~ ( apart_point_and_line @ sk__2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( apart_point_and_line @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl16,zip_derived_cl15]) ).

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_cl35,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_cl180,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ~ ( convergent_lines @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl35]) ).

thf(zip_derived_cl17_001,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl181,plain,
    apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl17]) ).

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_002,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl38,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_cl207,plain,
    ~ ( convergent_lines @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl38]) ).

thf(zip_derived_cl17_003,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXTgZ4R1Np true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 20:48:58 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.74/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.74/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.76  % Solved by fo/fo6_bce.sh.
% 1.28/0.76  % BCE start: 18
% 1.28/0.76  % BCE eliminated: 0
% 1.28/0.76  % PE start: 18
% 1.28/0.76  logic: neq
% 1.28/0.76  % PE eliminated: 0
% 1.28/0.76  % done 58 iterations in 0.047s
% 1.28/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.76  % SZS output start Refutation
% See solution above
% 1.28/0.76  
% 1.28/0.76  
% 1.28/0.76  % Terminating...
% 1.45/0.85  % Runner terminated.
% 1.72/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------