TSTP Solution File: GEO228+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.p1lHBSnjQ6 true

% Computer : n018.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 23:57:52 EDT 2023

% Result   : Theorem 1.27s 0.77s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  127 (  21   ~;  16   |;   1   &;  86   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

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

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(con_def,axiom,
    ! [L: $i,M: $i] :
      ( ( convergent_lines @ L @ M )
    <=> ( ( unequally_directed_lines @ L @ M )
        & ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[con_def]) ).

thf(con,conjecture,
    ! [L: $i,M: $i] :
      ( ~ ( convergent_lines @ L @ M )
    <=> ( ~ ( unequally_directed_lines @ L @ M )
        | ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) ).

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

thf(zip_derived_cl59,plain,
    ( ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ~ ( unequally_directed_lines @ sk_ @ sk__1 )
    | ~ ( convergent_lines @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ( ~ ( unequally_directed_lines @ sk_ @ sk__1 )
    | ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ~ ( unequally_directed_lines @ sk_ @ sk__1 )
    | ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl59]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ~ ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl60,plain,
    ( ( unequally_directed_lines @ sk_ @ sk__1 )
    | ( convergent_lines @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[con_def]) ).

thf(zip_derived_cl95,plain,
    ( ( unequally_directed_lines @ sk_ @ sk__1 )
    | ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl3]) ).

thf(zip_derived_cl114,plain,
    unequally_directed_lines @ sk_ @ sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl115,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl114]) ).

thf(zip_derived_cl61,plain,
    ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ( convergent_lines @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[con_def]) ).

thf(zip_derived_cl99,plain,
    ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl4]) ).

thf(zip_derived_cl120,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl121,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl120]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.p1lHBSnjQ6 true
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 22:21:48 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.23/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.27/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.77  % Solved by fo/fo6_bce.sh.
% 1.27/0.77  % BCE start: 62
% 1.27/0.77  % BCE eliminated: 0
% 1.27/0.77  % PE start: 62
% 1.27/0.77  logic: neq
% 1.27/0.77  % PE eliminated: 21
% 1.27/0.77  % done 19 iterations in 0.023s
% 1.27/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.77  % SZS output start Refutation
% See solution above
% 1.27/0.77  
% 1.27/0.77  
% 1.27/0.77  % Terminating...
% 1.44/0.86  % Runner terminated.
% 1.44/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------