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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN943+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.D2eIAqINnc true

% Computer : n010.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 05:06:02 PM UTC 2025

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   21 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   63 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  142 (  18   ~;  22   |;  12   &;  82   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;   9   !;  10   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i > $o ).

thf(c_type,type,
    c: $i > $o ).

thf(g_type,type,
    g: $i > $o ).

thf(f_type,type,
    f: $i > $i ).

thf(e_type,type,
    e: $i > $o ).

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

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

thf(prove_this,conjecture,
    ! [A: $i] :
    ? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
      ( ( ( p @ A )
        & ( e @ A )
        & ( ( e @ X )
         => ( ( g @ X )
            | ( s @ X @ ( f @ X ) ) ) )
        & ( ( e @ X2 )
         => ( ( g @ X2 )
            | ( c @ ( f @ X2 ) ) ) )
        & ( ( s @ A @ Y )
         => ( p @ Y ) ) )
     => ( ( ( p @ X3 )
          & ( g @ X3 ) )
        | ( ( p @ X4 )
          & ( c @ X4 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
      ? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
        ( ( ( p @ A )
          & ( e @ A )
          & ( ( e @ X )
           => ( ( g @ X )
              | ( s @ X @ ( f @ X ) ) ) )
          & ( ( e @ X2 )
           => ( ( g @ X2 )
              | ( c @ ( f @ X2 ) ) ) )
          & ( ( s @ A @ Y )
           => ( p @ Y ) ) )
       => ( ( ( p @ X3 )
            & ( g @ X3 ) )
          | ( ( p @ X4 )
            & ( c @ X4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl2,plain,
    e @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ( c @ ( f @ X2 ) )
      | ( g @ X2 )
      | ~ ( e @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X4: $i] :
      ( ~ ( p @ X4 )
      | ~ ( c @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( e @ X0 )
      | ( g @ X0 )
      | ~ ( p @ ( f @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( p @ ( f @ sk_ ) )
    | ( g @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i] :
      ( ~ ( p @ X3 )
      | ~ ( g @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( p @ ( f @ sk_ ) )
    | ~ ( p @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ~ ( p @ ( f @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl2_001,plain,
    e @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ( s @ X1 @ ( f @ X1 ) )
      | ( g @ X1 )
      | ~ ( e @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( p @ X0 )
      | ~ ( s @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( e @ sk_ )
    | ( g @ sk_ )
    | ( p @ ( f @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    ( ( p @ ( f @ sk_ ) )
    | ( g @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(zip_derived_cl5_002,plain,
    ! [X3: $i] :
      ( ~ ( p @ X3 )
      | ~ ( g @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ( p @ ( f @ sk_ ) )
    | ~ ( p @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl1_003,plain,
    p @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    p @ ( f @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN943+1 : TPTP v9.2.0. Released v3.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.D2eIAqINnc true
% 0.13/0.34  % Computer : n010.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 13:39:08 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
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % Solved by fo/fo6_bce.sh.
% 0.57/0.74  % BCE start: 7
% 0.57/0.74  % BCE eliminated: 0
% 0.57/0.74  % PE start: 7
% 0.57/0.74  logic: neq
% 0.57/0.74  % PE eliminated: 4
% 0.57/0.74  % done 2 iterations in 0.010s
% 0.57/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.74  % SZS output start Refutation
% See solution above
% 0.57/0.74  
% 0.57/0.74  
% 0.57/0.74  % Terminating...
% 1.48/0.85  % Runner terminated.
% 1.48/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------