TSTP Solution File: GEO186+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO186+1 : 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.OucnBisWI8 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 23:57:17 EDT 2023

% Result   : Theorem 1.50s 0.81s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   41 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   74 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  243 (  26   ~;  27   |;   7   &; 176   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 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   :   44 (   0   ^;  44   !;   0   ?;  44   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(zip_derived_cl16,plain,
    convergent_lines @ sk__2 @ sk__3,
    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_cl39,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__2 @ X0 )
      | ( distinct_lines @ sk__3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,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_cl49,plain,
    distinct_lines @ sk__3 @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl2]) ).

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_cl53,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk__2 @ X0 )
      | ( distinct_lines @ sk__3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl4]) ).

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_cl54,plain,
    distinct_lines @ sk__2 @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).

thf(zip_derived_cl14,plain,
    distinct_points @ sk_ @ ( intersection_point @ sk__2 @ sk__3 ),
    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_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X0 )
      | ( apart_point_and_line @ sk_ @ X0 )
      | ~ ( distinct_lines @ X1 @ X0 )
      | ( apart_point_and_line @ sk_ @ X1 )
      | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).

thf(zip_derived_cl214,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 )
    | ( apart_point_and_line @ sk_ @ sk__2 )
    | ( apart_point_and_line @ sk_ @ sk__3 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl46]) ).

thf(zip_derived_cl18,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl18,zip_derived_cl15]) ).

thf(zip_derived_cl248,plain,
    ( ~ ( convergent_lines @ sk__2 @ sk__3 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl219]) ).

thf(zip_derived_cl16_001,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl249,plain,
    apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl16]) ).

thf(zip_derived_cl254,plain,
    ~ ( convergent_lines @ sk__2 @ sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl249]) ).

thf(zip_derived_cl16_002,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OucnBisWI8 true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 18:41:28 EDT 2023
% 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
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.50/0.81  % Solved by fo/fo3_bce.sh.
% 1.50/0.81  % BCE start: 19
% 1.50/0.81  % BCE eliminated: 0
% 1.50/0.81  % PE start: 19
% 1.50/0.81  logic: neq
% 1.50/0.81  % PE eliminated: 0
% 1.50/0.81  % done 113 iterations in 0.044s
% 1.50/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.50/0.81  % SZS output start Refutation
% See solution above
% 1.50/0.81  
% 1.50/0.81  
% 1.50/0.81  % Terminating...
% 1.50/0.84  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------