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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW302+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X9J4G57R5o true

% Computer : n024.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 05:02:35 PM UTC 2025

% Result   : Theorem 5.71s 1.36s
% Output   : Refutation 5.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (   5   ~;   3   |;   0   &;  38   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(v_Q_type,type,
    v_Q: $i > $i > $o ).

thf(v_Q_H_type,type,
    v_Q_H: $i > $i > $o ).

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

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(conj_1,conjecture,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_P @ B_Z @ B_s )
     => ! [B_s_H: $i] :
          ( ! [B_Z_H: $i] :
              ( ( v_P @ B_Z_H @ B_s )
             => ( v_Q_H @ B_Z_H @ B_s_H ) )
         => ( v_Q @ B_Z @ B_s_H ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_Z: $i,B_s: $i] :
        ( ( v_P @ B_Z @ B_s )
       => ! [B_s_H: $i] :
            ( ! [B_Z_H: $i] :
                ( ( v_P @ B_Z_H @ B_s )
               => ( v_Q_H @ B_Z_H @ B_s_H ) )
           => ( v_Q @ B_Z @ B_s_H ) ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( v_Q @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v_P @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( v_Q_H @ X0 @ sk__2 )
      | ~ ( v_P @ X0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_0,axiom,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_Q_H @ B_Z @ B_s )
     => ( v_Q @ B_Z @ B_s ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( v_Q @ X0 @ X1 )
      | ~ ( v_Q_H @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ~ ( v_P @ X0 @ sk__1 )
      | ( v_Q @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    v_Q @ sk_ @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW302+1 : TPTP v9.2.0. Released v5.2.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X9J4G57R5o true
% 0.12/0.35  % Computer : n024.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 12:02:38 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.42/0.58  % Total configuration time : 435
% 0.42/0.58  % Estimated wc time : 1092
% 0.42/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.71/1.36  % Solved by fo/fo4.sh.
% 5.71/1.36  % done 6 iterations in 0.638s
% 5.71/1.36  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.71/1.36  % SZS output start Refutation
% See solution above
% 5.71/1.36  
% 5.71/1.36  
% 5.71/1.36  % Terminating...
% 5.84/1.41  % Runner terminated.
% 5.84/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------