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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU896^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AMjAvng46z 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 04:56:49 PM UTC 2025

% Result   : Theorem 0.51s 0.79s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (  48 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   79 (  11   ~;  28   |;   2   &;  36   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   4   !;   2   ?;   6   :)

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

thf(b_type,type,
    b: $tType ).

thf(x_type,type,
    x: b ).

thf(y_type,type,
    y: b ).

thf(g_type,type,
    g: b > a ).

thf(sk__type,type,
    sk_: a ).

thf(sk__1_type,type,
    sk__1: b ).

thf(cTHM500_pme,conjecture,
    ! [Xv: a] :
      ( ? [Xt: b] :
          ( ( Xv
            = ( g @ Xt ) )
          & ( ( Xt = y )
            | ( Xt = x ) ) )
    <=> ( ( Xv
          = ( g @ x ) )
        | ( Xv
          = ( g @ y ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xv: a] :
        ( ? [Xt: b] :
            ( ( Xv
              = ( g @ Xt ) )
            & ( ( Xt = y )
              | ( Xt = x ) ) )
      <=> ( ( Xv
            = ( g @ x ) )
          | ( Xv
            = ( g @ y ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM500_pme]) ).

thf(zip_derived_cl5,plain,
    ! [X0: b] :
      ( ( sk_
       != ( g @ y ) )
      | ( X0 != y )
      | ( sk_
       != ( g @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ( sk_
   != ( g @ y ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ( ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk__1 = y )
    | ( sk__1 = x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( sk_
      = ( g @ x ) )
    | ( sk__1 = y )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ y ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ( ( sk_
      = ( g @ y ) )
    | ( sk__1 = y )
    | ( sk_
      = ( g @ x ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl1_001,plain,
    ( ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ y ) )
    | ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ y ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl12,plain,
    ( ( sk_
      = ( g @ x ) )
    | ( sk_
      = ( g @ y ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl2,plain,
    ! [X0: b] :
      ( ( sk_
       != ( g @ x ) )
      | ( X0 != x )
      | ( sk_
       != ( g @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( sk_
   != ( g @ x ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl14,plain,
    ( ( sk_ != sk_ )
    | ( sk_
      = ( g @ y ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).

thf(zip_derived_cl16,plain,
    ( sk_
    = ( g @ y ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl25,plain,
    sk_ != sk_,
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl16]) ).

thf(zip_derived_cl26,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU896^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AMjAvng46z true
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Wed Oct  1 16:08:08 EDT 2025
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in HO mode
% 0.46/0.62  % Total configuration time : 828
% 0.46/0.62  % Estimated wc time : 1656
% 0.46/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.79  % Solved by lams/40_c.s.sh.
% 0.51/0.79  % done 10 iterations in 0.013s
% 0.51/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.79  % SZS output start Refutation
% See solution above
% 0.51/0.79  
% 0.51/0.79  
% 0.51/0.79  % Terminating...
% 0.52/0.90  % Runner terminated.
% 0.52/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------