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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU806^2 : 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.yYEw6sG7Yu true

% Computer : n027.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 1.49s 1.71s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   85 (  22 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  199 (  18   ~;   6   |;   8   &; 135   @)
%                                         (   4 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   70 (   0   ^;  58   !;  12   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uniqinunit_type,type,
    uniqinunit: $o ).

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

thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

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

thf(sk__13_type,type,
    sk__13: $i > $i ).

thf(foundationAx_type,type,
    foundationAx: $o ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(emptyset_type,type,
    emptyset: $i ).

thf(in__Cong_type,type,
    in__Cong: $o ).

thf(in__Cong,axiom,
    ( in__Cong
    = ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ! [Xx: $i,Xy: $i] :
              ( ( Xx = Xy )
             => ( ( in @ Xx @ A )
              <=> ( in @ Xy @ B ) ) ) ) ) ) ).

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

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

thf('1',plain,
    ( uniqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinIL,axiom,
    ( setadjoinIL
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).

thf('2',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

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

thf('3',plain,
    ( foundationAx
    = ( ! [X4: $i] :
          ( ? [X6: $i] : ( in @ X6 @ X4 )
         => ? [X8: $i] :
              ( ~ ? [X10: $i] :
                    ( ( in @ X10 @ X4 )
                    & ( in @ X10 @ X8 ) )
              & ( in @ X8 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(notinself,conjecture,
    ( foundationAx
   => ( setadjoinIL
     => ( uniqinunit
       => ( in__Cong
         => ! [A: $i] :
              ~ ( in @ A @ A ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i] :
        ( ? [X6: $i] : ( in @ X6 @ X4 )
       => ? [X8: $i] :
            ( ~ ? [X10: $i] :
                  ( ( in @ X10 @ X4 )
                  & ( in @ X10 @ X8 ) )
            & ( in @ X8 @ X4 ) ) )
   => ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( in @ X16 @ ( setadjoin @ X18 @ emptyset ) )
           => ( X16 = X18 ) )
       => ( ! [X20: $i,X22: $i] :
              ( ( X20 = X22 )
             => ! [X24: $i,X26: $i] :
                  ( ( X24 = X26 )
                 => ( ( in @ X24 @ X20 )
                  <=> ( in @ X26 @ X22 ) ) ) )
         => ! [X28: $i] :
              ~ ( in @ X28 @ X28 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i] :
          ( ? [X6: $i] : ( in @ X6 @ X4 )
         => ? [X8: $i] :
              ( ~ ? [X10: $i] :
                    ( ( in @ X10 @ X4 )
                    & ( in @ X10 @ X8 ) )
              & ( in @ X8 @ X4 ) ) )
     => ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( in @ X16 @ ( setadjoin @ X18 @ emptyset ) )
             => ( X16 = X18 ) )
         => ( ! [X20: $i,X22: $i] :
                ( ( X20 = X22 )
               => ! [X24: $i,X26: $i] :
                    ( ( X24 = X26 )
                   => ( ( in @ X24 @ X20 )
                    <=> ( in @ X26 @ X22 ) ) ) )
           => ! [X28: $i] :
                ~ ( in @ X28 @ X28 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    in @ sk__12 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6_001,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i] :
      ( ( in @ ( sk__13 @ X1 ) @ X1 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] : ( in @ ( sk__13 @ ( setadjoin @ X1 @ X0 ) ) @ ( setadjoin @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ( X4 = X3 )
      | ~ ( in @ X4 @ ( setadjoin @ X3 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( sk__13 @ ( setadjoin @ X0 @ emptyset ) )
      = X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( sk__13 @ X1 ) )
      | ~ ( in @ X0 @ X1 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( sk__13 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl29]) ).

thf(zip_derived_cl38,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.53  % Problem  : SEU806^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.62  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yYEw6sG7Yu true
% 0.13/0.94  % Computer : n027.cluster.edu
% 0.13/0.94  % Model    : x86_64 x86_64
% 0.13/0.94  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.94  % Memory   : 8042.1875MB
% 0.13/0.94  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.94  % CPULimit : 300
% 0.13/0.94  % WCLimit  : 300
% 0.13/0.94  % DateTime : Wed Oct  1 16:02:23 EDT 2025
% 0.13/0.94  % CPUTime  : 
% 0.13/0.94  % Running portfolio for 300 s
% 0.13/0.94  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.94  % Number of cores: 8
% 0.13/0.94  % Python version: Python 3.6.8
% 0.13/0.94  % Running in HO mode
% 0.31/1.44  % Total configuration time : 828
% 0.31/1.44  % Estimated wc time : 1656
% 0.31/1.44  % Estimated cpu time (8 cpus) : 207.0
% 0.33/1.60  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.49/1.68  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.49/1.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.49/1.71  % Solved by lams/40_c.s.sh.
% 1.49/1.71  % done 15 iterations in 0.023s
% 1.49/1.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.49/1.71  % SZS output start Refutation
% See solution above
% 1.49/1.71  
% 1.49/1.71  
% 1.49/1.71  % Terminating...
% 1.78/1.92  % Runner terminated.
% 1.78/1.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------