TSTP Solution File: SYN729+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN729+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0mVdz60Wf3 true

% Computer : n009.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 : Fri Sep  1 04:05:20 EDT 2023

% Result   : Theorem 0.51s 0.74s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  100 (  13   ~;   6   |;   8   &;  65   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  11   !;   4   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(g_type,type,
    g: $i > $i ).

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

thf(h_type,type,
    h: $i > $i ).

thf(p_type,type,
    p: $i > $o ).

thf(l_type,type,
    l: $i > $i > $o ).

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

thf(thm72,conjecture,
    ( ( ! [X: $i] :
        ? [Y: $i] :
          ( ( p @ X )
         => ( ( l @ X @ ( g @ ( h @ Y ) ) )
            & ( p @ Y ) ) )
      & ! [W: $i] :
          ( ( p @ W )
         => ( ( p @ ( g @ W ) )
            & ( p @ ( h @ W ) ) ) ) )
   => ! [X: $i] :
        ( ( p @ X )
       => ? [Y: $i] :
            ( ( p @ Y )
            & ( l @ X @ Y ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
          ? [Y: $i] :
            ( ( p @ X )
           => ( ( l @ X @ ( g @ ( h @ Y ) ) )
              & ( p @ Y ) ) )
        & ! [W: $i] :
            ( ( p @ W )
           => ( ( p @ ( g @ W ) )
              & ( p @ ( h @ W ) ) ) ) )
     => ! [X: $i] :
          ( ( p @ X )
         => ? [Y: $i] :
              ( ( p @ Y )
              & ( l @ X @ Y ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm72]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ( p @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ( p @ ( h @ X1 ) )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i] :
      ( ( p @ ( g @ X1 ) )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ( l @ X0 @ ( g @ ( h @ ( sk__1 @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ~ ( p @ X2 )
      | ~ ( l @ sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( p @ sk_ )
    | ~ ( p @ ( g @ ( h @ ( sk__1 @ sk_ ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ~ ( p @ ( g @ ( h @ ( sk__1 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ~ ( p @ ( h @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ~ ( p @ ( sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ~ ( p @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl5_001,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN729+1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0mVdz60Wf3 true
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 17:15:50 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74  % Solved by fo/fo6_bce.sh.
% 0.51/0.74  % BCE start: 6
% 0.51/0.74  % BCE eliminated: 0
% 0.51/0.74  % PE start: 6
% 0.51/0.74  logic: neq
% 0.51/0.74  % PE eliminated: 1
% 0.51/0.74  % done 6 iterations in 0.005s
% 0.51/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.74  % SZS output start Refutation
% See solution above
% 0.51/0.74  
% 0.51/0.74  
% 0.51/0.74  % Terminating...
% 1.39/0.84  % Runner terminated.
% 1.39/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------