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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU522^2 : 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.aVgUfWciCR true

% Computer : n004.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 04:54:54 PM UTC 2025

% Result   : Theorem 0.82s 0.71s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   96 (   6   ~;   3   |;   4   &;  70   @)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  21   !;   4   ?;  25   :)

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(setunionAx_type,type,
    setunionAx: $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(setunion_type,type,
    setunion: $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(setunionAx,axiom,
    ( setunionAx
    = ( ! [A: $i,Xx: $i] :
          ( ( in @ Xx @ ( setunion @ A ) )
        <=> ? [B: $i] :
              ( ( in @ B @ A )
              & ( in @ Xx @ B ) ) ) ) ) ).

thf('0',plain,
    ( setunionAx
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( setunion @ X4 ) )
        <=> ? [X8: $i] :
              ( ( in @ X8 @ X4 )
              & ( in @ X6 @ X8 ) ) ) ) ),
    define([status(thm)]) ).

thf(setunionI,conjecture,
    ( setunionAx
   => ! [A: $i,Xx: $i,B: $i] :
        ( ( in @ Xx @ B )
       => ( ( in @ B @ A )
         => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ( in @ X6 @ ( setunion @ X4 ) )
      <=> ? [X8: $i] :
            ( ( in @ X8 @ X4 )
            & ( in @ X6 @ X8 ) ) )
   => ! [X10: $i,X12: $i,X14: $i] :
        ( ( in @ X12 @ X14 )
       => ( ( in @ X14 @ X10 )
         => ( in @ X12 @ ( setunion @ X10 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( setunion @ X4 ) )
        <=> ? [X8: $i] :
              ( ( in @ X8 @ X4 )
              & ( in @ X6 @ X8 ) ) )
     => ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X12 @ X14 )
         => ( ( in @ X14 @ X10 )
           => ( in @ X12 @ ( setunion @ X10 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    in @ sk__5 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ ( setunion @ X1 ) )
      | ~ ( in @ X0 @ X2 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( in @ sk__6 @ X0 )
      | ( in @ sk__5 @ ( setunion @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__5 @ ( setunion @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    ~ ( in @ sk__6 @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    in @ sk__6 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl22,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU522^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aVgUfWciCR true
% 0.11/0.31  % Computer : n004.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Oct  1 16:09:23 EDT 2025
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in HO mode
% 0.50/0.59  % Total configuration time : 828
% 0.50/0.59  % Estimated wc time : 1656
% 0.50/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.82/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.82/0.68  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.82/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.82/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.82/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.82/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.82/0.71  % Solved by lams/40_c.s.sh.
% 0.82/0.71  % done 7 iterations in 0.016s
% 0.82/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.82/0.71  % SZS output start Refutation
% See solution above
% 0.82/0.71  
% 0.82/0.71  
% 0.82/0.71  % Terminating...
% 1.26/0.79  % Runner terminated.
% 1.71/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------