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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET599^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B4rH9zc052 true

% Computer : n015.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 04:52:21 PM UTC 2025

% Result   : Theorem 0.10s 0.50s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   51 (   0 equ;  16 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  144 (  31   ~;   8   |;  22   &;  71   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-1 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   6   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk2_type',type,
    '#sk2': a > $o ).

thf('#sk3_type',type,
    '#sk3': a ).

thf('#sk1_type',type,
    '#sk1': a > $o ).

thf(cBOOL_PROP_58_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Xx: a] :
      ( ( ~ ( Y @ Xx )
        & ( X @ Xx ) )
     => ( ( ~ ( X @ Xx )
          & ( Y @ Xx ) )
        | ( ~ ( Y @ Xx )
          & ( X @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Xx: a] :
        ( ( ~ ( Y @ Xx )
          & ( X @ Xx ) )
       => ( ( ~ ( X @ Xx )
            & ( Y @ Xx ) )
          | ( ~ ( Y @ Xx )
            & ( X @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_58_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( (~) @ ( Y1 @ Y2 ) )
                    & ( Y0 @ Y2 ) )
                 => ( ( ( (~) @ ( Y0 @ Y2 ) )
                      & ( Y1 @ Y2 ) )
                    | ( ( (~) @ ( Y1 @ Y2 ) )
                      & ( Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( (~) @ ( Y0 @ Y1 ) )
                & ( '#sk1' @ Y1 ) )
             => ( ( ( (~) @ ( '#sk1' @ Y1 ) )
                  & ( Y0 @ Y1 ) )
                | ( ( (~) @ ( Y0 @ Y1 ) )
                  & ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) )
         => ( ( ( (~) @ ( '#sk1' @ Y0 ) )
              & ( '#sk2' @ Y0 ) )
            | ( ( (~) @ ( '#sk2' @ Y0 ) )
              & ( '#sk1' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) )
     => ( ( ( (~) @ ( '#sk1' @ '#sk3' ) )
          & ( '#sk2' @ '#sk3' ) )
        | ( ( (~) @ ( '#sk2' @ '#sk3' ) )
          & ( '#sk1' @ '#sk3' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( (~) @ ( '#sk2' @ '#sk3' ) )
    & ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ~ ( '#sk2' @ '#sk3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & ( '#sk2' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ~ ( ( (~) @ ( '#sk2' @ '#sk3' ) )
      & ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ( ( '#sk2' @ '#sk3' )
    | ~ ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl7,plain,
    '#sk1' @ '#sk3',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    '#sk2' @ '#sk3',
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SET599^5 : TPTP v9.2.0. Released v4.0.0.
% 0.00/0.07  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B4rH9zc052 true
% 0.06/0.25  % Computer : n015.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Wed Oct  1 13:19:23 EDT 2025
% 0.06/0.25  % CPUTime  : 
% 0.06/0.25  % Running portfolio for 300 s
% 0.06/0.25  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25  % Number of cores: 8
% 0.06/0.25  % Python version: Python 3.6.8
% 0.06/0.26  % Running in HO mode
% 0.10/0.42  % Total configuration time : 828
% 0.10/0.42  % Estimated wc time : 1656
% 0.10/0.42  % Estimated cpu time (8 cpus) : 207.0
% 0.10/0.47  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.10/0.47  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.10/0.48  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.10/0.48  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.10/0.48  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.10/0.48  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.10/0.48  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.10/0.50  % Solved by lams/35_full_unif4.sh.
% 0.10/0.50  % done 3 iterations in 0.007s
% 0.10/0.50  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.10/0.50  % SZS output start Refutation
% See solution above
% 0.10/0.50  
% 0.10/0.50  
% 0.10/0.50  % Terminating...
% 0.10/0.52  % Runner terminated.
% 0.10/0.53  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------