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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU615^2 : 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.UWZzsVSJDl true

% Computer : n011.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 04:55:23 PM UTC 2025

% Result   : Theorem 1.58s 2.86s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (   2 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  167 (  22   ~;   6   |;   0   &; 102   @)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 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   :   32 (   0   ^;  32   !;   0   ?;  32   :)

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

thf(symdiffE_type,type,
    symdiffE: $o ).

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

thf(symdiff_type,type,
    symdiff: $i > $i > $i ).

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

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

thf(symdiffE,axiom,
    ( symdiffE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( symdiff @ A @ B ) )
         => ! [Xphi: $o] :
              ( ( ( in @ Xx @ A )
               => ( ~ ( in @ Xx @ B )
                 => Xphi ) )
             => ( ( ~ ( in @ Xx @ A )
                 => ( ( in @ Xx @ B )
                   => Xphi ) )
               => Xphi ) ) ) ) ) ).

thf('0',plain,
    ( symdiffE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( in @ X8 @ X4 )
               => ( ~ ( in @ X8 @ X6 )
                 => X10 ) )
             => ( ( ~ ( in @ X8 @ X4 )
                 => ( ( in @ X8 @ X6 )
                   => X10 ) )
               => X10 ) ) ) ) ),
    define([status(thm)]) ).

thf(symdiffIneg2,conjecture,
    ( symdiffE
   => ! [A: $i,B: $i,Xx: $i] :
        ( ~ ( in @ Xx @ A )
       => ( ~ ( in @ Xx @ B )
         => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
       => ! [X10: $o] :
            ( ( ( in @ X8 @ X4 )
             => ( ~ ( in @ X8 @ X6 )
               => X10 ) )
           => ( ( ~ ( in @ X8 @ X4 )
               => ( ( in @ X8 @ X6 )
                 => X10 ) )
             => X10 ) ) )
   => ! [X12: $i,X14: $i,X16: $i] :
        ( ~ ( in @ X16 @ X12 )
       => ( ~ ( in @ X16 @ X14 )
         => ~ ( in @ X16 @ ( symdiff @ X12 @ X14 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( in @ X8 @ X4 )
               => ( ~ ( in @ X8 @ X6 )
                 => X10 ) )
             => ( ( ~ ( in @ X8 @ X4 )
                 => ( ( in @ X8 @ X6 )
                   => X10 ) )
               => X10 ) ) )
     => ! [X12: $i,X14: $i,X16: $i] :
          ( ~ ( in @ X16 @ X12 )
         => ( ~ ( in @ X16 @ X14 )
           => ~ ( in @ X16 @ ( symdiff @ X12 @ X14 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ~ ( in @ sk__6 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    in @ sk__6 @ ( symdiff @ sk__4 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $o,X3: $i] :
      ( ( in @ X0 @ X3 )
      | X2
      | ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ ( symdiff @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( symdiff @ X0 @ X2 ) )
      | ( in @ X1 @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl13,plain,
    ( ( in @ sk__6 @ sk__5 )
    | ( in @ sk__6 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl11,plain,
    ~ ( in @ sk__6 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    in @ sk__6 @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.13  % Problem  : SEU615^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/1.22  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UWZzsVSJDl true
% 0.12/1.62  % Computer : n011.cluster.edu
% 0.12/1.62  % Model    : x86_64 x86_64
% 0.12/1.62  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.62  % Memory   : 8042.1875MB
% 0.12/1.62  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/1.62  % CPULimit : 300
% 0.12/1.62  % WCLimit  : 300
% 0.12/1.62  % DateTime : Wed Oct  1 16:04:39 EDT 2025
% 0.12/1.63  % CPUTime  : 
% 0.12/1.63  % Running portfolio for 300 s
% 0.12/1.63  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/1.64  % Number of cores: 8
% 0.19/1.66  % Python version: Python 3.6.8
% 0.19/1.67  % Running in HO mode
% 0.57/2.39  % Total configuration time : 828
% 0.57/2.39  % Estimated wc time : 1656
% 0.57/2.39  % Estimated cpu time (8 cpus) : 207.0
% 0.57/2.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/2.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/2.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/2.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.58/2.84  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.58/2.86  % Solved by lams/40_c.s.sh.
% 1.58/2.86  % done 4 iterations in 0.027s
% 1.58/2.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.58/2.86  % SZS output start Refutation
% See solution above
% 1.59/2.86  
% 1.59/2.86  
% 1.59/2.86  % Terminating...
% 1.94/3.29  % Runner terminated.
% 1.97/3.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------