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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN365+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PNKvHRx8Op true

% Computer : n005.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 05:04:37 PM UTC 2025

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 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  :    0 (   0   >;   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(big_p_type,type,
    big_p: $i > $o ).

thf(big_r_type,type,
    big_r: $i > $i > $o ).

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

thf(x2116,conjecture,
    ( ( ! [X: $i] :
        ? [Y: $i] :
          ( ( big_p @ X )
         => ( ( big_r @ X @ ( g @ ( h @ Y ) ) )
            & ( big_p @ Y ) ) )
      & ! [W: $i] :
          ( ( big_p @ W )
         => ( ( big_p @ ( g @ W ) )
            & ( big_p @ ( h @ W ) ) ) ) )
   => ! [X: $i] :
        ( ( big_p @ X )
       => ? [Y: $i] :
            ( ( big_p @ Y )
            & ( big_r @ X @ Y ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
          ? [Y: $i] :
            ( ( big_p @ X )
           => ( ( big_r @ X @ ( g @ ( h @ Y ) ) )
              & ( big_p @ Y ) ) )
        & ! [W: $i] :
            ( ( big_p @ W )
           => ( ( big_p @ ( g @ W ) )
              & ( big_p @ ( h @ W ) ) ) ) )
     => ! [X: $i] :
          ( ( big_p @ X )
         => ? [Y: $i] :
              ( ( big_p @ Y )
              & ( big_r @ X @ Y ) ) ) ),
    inference('cnf.neg',[status(esa)],[x2116]) ).

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

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

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl5_001,plain,
    big_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
% 0.07/0.12  % Problem  : SYN365+1 : TPTP v9.2.0. Released v2.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PNKvHRx8Op true
% 0.13/0.34  % Computer : n005.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 13:25:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % Solved by fo/fo6_bce.sh.
% 0.58/0.76  % BCE start: 6
% 0.58/0.76  % BCE eliminated: 0
% 0.58/0.76  % PE start: 6
% 0.58/0.76  logic: neq
% 0.58/0.76  % PE eliminated: 1
% 0.58/0.76  % done 6 iterations in 0.009s
% 0.58/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % Terminating...
% 1.69/0.86  % Runner terminated.
% 1.69/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------