↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO197+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ePGaSJIVR6 true

% Computer : n014.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 : Thu Oct  2 04:34:13 PM UTC 2025

% Result   : Theorem 9.08s 1.89s
% Output   : Refutation 9.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   99 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  356 (  30   ~;  41   |;   7   &; 270   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   57 (   0   ^;  57   !;   0   ?;  57   :)

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

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

thf(sk__2_type,type,
    sk__2: $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(sk__1_type,type,
    sk__1: $i ).

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

thf(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( convergent_lines @ X @ Y )
        & ( convergent_lines @ Z @ Y )
        & ( convergent_lines @ X @ Z )
        & ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Z ) )
     => ~ ( apart_point_and_line @ ( intersection_point @ Z @ Y ) @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( convergent_lines @ X @ Y )
          & ( convergent_lines @ Z @ Y )
          & ( convergent_lines @ X @ Z )
          & ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Z ) )
       => ~ ( apart_point_and_line @ ( intersection_point @ Z @ Y ) @ X ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl17,plain,
    convergent_lines @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_lines @ X1 @ X2 )
      | ( convergent_lines @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__2 @ X0 )
      | ( distinct_lines @ sk__1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl13]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl75,plain,
    distinct_lines @ sk__1 @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2]) ).

thf(zip_derived_cl18,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(ceq1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( apart_point_and_line @ X @ Y )
     => ( ( distinct_points @ X @ Z )
        | ( apart_point_and_line @ Z @ Y ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apart_point_and_line @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ceq1]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ sk_ )
      | ( distinct_points @ ( intersection_point @ sk__2 @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).

thf(apart4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_points @ X @ Y )
     => ( ( distinct_points @ X @ Z )
        | ( distinct_points @ Y @ Z ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart4]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ X0 @ sk_ )
      | ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ ( intersection_point @ sk__2 @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl3]) ).

thf(ci3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_points @ ( intersection_point @ sk__2 @ sk__1 ) @ X1 )
      | ( distinct_points @ ( intersection_point @ sk_ @ X0 ) @ X1 )
      | ~ ( convergent_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl8]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ( distinct_points @ ( intersection_point @ sk__2 @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl161]) ).

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_cl203,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__2 @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl0]) ).

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_cl209,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ~ ( distinct_lines @ X1 @ X0 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 )
      | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl10]) ).

thf(zip_derived_cl6073,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl209]) ).

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

thf(zip_derived_cl6132,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6073,zip_derived_cl15]) ).

thf(zip_derived_cl8_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl6263,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__1 )
    | ~ ( convergent_lines @ sk__2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6132,zip_derived_cl8]) ).

thf(zip_derived_cl17_002,plain,
    convergent_lines @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6264,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__1 ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6263,zip_derived_cl17]) ).

thf(ci4,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

thf(zip_derived_cl6267,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ~ ( convergent_lines @ sk__2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6264,zip_derived_cl9]) ).

thf(zip_derived_cl17_003,plain,
    convergent_lines @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6268,plain,
    apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl6267,zip_derived_cl17]) ).

thf(zip_derived_cl9_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

thf(zip_derived_cl6271,plain,
    ~ ( convergent_lines @ sk_ @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl6268,zip_derived_cl9]) ).

thf(zip_derived_cl18_005,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6272,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6271,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : GEO197+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ePGaSJIVR6 true
% 0.13/0.34  % Computer : n014.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 : Wed Oct  1 17:47:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.52/0.66  % Total configuration time : 435
% 0.52/0.66  % Estimated wc time : 1092
% 0.52/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.08/1.89  % Solved by fo/fo5.sh.
% 9.08/1.89  % done 1209 iterations in 1.107s
% 9.08/1.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.08/1.89  % SZS output start Refutation
% See solution above
% 9.08/1.89  
% 9.08/1.89  
% 9.08/1.89  % Terminating...
% 9.39/1.96  % Runner terminated.
% 9.39/1.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------