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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU808^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nThZJbF90R true

% Computer : n020.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 04:56:32 PM UTC 2025

% Result   : Theorem 1.37s 1.08s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (   4   ~;   1   |;   0   &;  61   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   3   ^;   8   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(omega_type,type,
    omega: $i ).

thf(omegaS_type,type,
    omegaS: $i > $i ).

thf(omegaSAx_type,type,
    omegaSAx: $o ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(omegaS,axiom,
    ( omegaS
    = ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ) ).

thf('0',plain,
    ( omegaS
    = ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
    inference(simplify_rw_rule,[status(thm)],[omegaS]) ).

thf('1',plain,
    ( omegaS
    = ( ^ [V_1: $i] : ( setadjoin @ V_1 @ V_1 ) ) ),
    define([status(thm)]) ).

thf(omegaSAx,axiom,
    ( omegaSAx
    = ( ! [Xx: $i] :
          ( ( in @ Xx @ omega )
         => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).

thf('2',plain,
    ( omegaSAx
    = ( ! [X4: $i] :
          ( ( in @ X4 @ omega )
         => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) ) ),
    define([status(thm)]) ).

thf(omegaSp,conjecture,
    ( omegaSAx
   => ! [Xx: $i] :
        ( ( in @ Xx @ omega )
       => ( in @ ( omegaS @ Xx ) @ omega ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i] :
        ( ( in @ X4 @ omega )
       => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) )
   => ! [X6: $i] :
        ( ( in @ X6 @ omega )
       => ( in @ ( setadjoin @ X6 @ X6 ) @ omega ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i] :
          ( ( in @ X4 @ omega )
         => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) )
     => ! [X6: $i] :
          ( ( in @ X6 @ omega )
         => ( in @ ( setadjoin @ X6 @ X6 ) @ omega ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( in @ ( setadjoin @ X0 @ X0 ) @ omega )
      | ~ ( in @ X0 @ omega ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( in @ ( setadjoin @ sk__1 @ sk__1 ) @ omega ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__1 @ omega ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    in @ sk__1 @ omega,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.33  % Problem  : SEU808^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.34  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nThZJbF90R true
% 0.12/0.54  % Computer : n020.cluster.edu
% 0.12/0.54  % Model    : x86_64 x86_64
% 0.12/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.54  % Memory   : 8042.1875MB
% 0.12/0.54  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.54  % CPULimit : 300
% 0.12/0.54  % WCLimit  : 300
% 0.12/0.54  % DateTime : Wed Oct  1 16:09:23 EDT 2025
% 0.16/0.55  % CPUTime  : 
% 0.16/0.55  % Running portfolio for 300 s
% 0.16/0.55  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.55  % Number of cores: 8
% 0.16/0.55  % Python version: Python 3.6.8
% 0.16/0.56  % Running in HO mode
% 0.17/0.88  % Total configuration time : 828
% 0.17/0.88  % Estimated wc time : 1656
% 0.17/0.88  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.99  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/1.04  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.37/1.08  % Solved by lams/40_c.s.sh.
% 1.37/1.08  % done 2 iterations in 0.022s
% 1.37/1.08  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/1.08  % SZS output start Refutation
% See solution above
% 1.37/1.08  
% 1.37/1.08  
% 1.37/1.08  % Terminating...
% 1.59/1.19  % Runner terminated.
% 1.59/1.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------