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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU617^2 : 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.i51T7k0L0Y 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 04:55:23 PM UTC 2025

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   91 (   4 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  328 (  11   ~;   4   |;   0   &; 259   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 con; 0-2 aty)
%                                         (  24  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   70 (  24   ^;  46   !;   0   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

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

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

thf('#sk1_type',type,
    '#sk1': $i ).

thf(setunionI_type,type,
    setunionI: $o ).

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

thf('#sk2_type',type,
    '#sk2': $i ).

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

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

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

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

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

thf(setukpairIL,conjecture,
    ( setadjoinIL
   => ( setunionI
     => ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] : ( in @ Y0 @ ( setadjoin @ Y0 @ Y1 ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y1 @ Y2 )
                     => ( ( in @ Y2 @ Y0 )
                       => ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] : ( in @ Y0 @ ( setunion @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] : ( in @ Y0 @ ( setadjoin @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] : ( in @ X2 @ ( setadjoin @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y1 @ Y2 )
                   => ( ( in @ Y2 @ Y0 )
                     => ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] : ( in @ Y0 @ ( setunion @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( in @ Y1 @ Y2 )
               => ( ( in @ Y2 @ Y0 )
                 => ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y0 @ Y1 )
             => ( ( in @ Y1 @ X2 )
               => ( in @ Y0 @ ( setunion @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( in @ X4 @ Y0 )
         => ( ( in @ Y0 @ X2 )
           => ( in @ X4 @ ( setunion @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( in @ X4 @ X6 )
     => ( ( in @ X6 @ X2 )
       => ( in @ X4 @ ( setunion @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X4 @ X6 )
      | ( ( in @ X6 @ X2 )
       => ( in @ X4 @ ( setunion @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( in @ X4 @ ( setunion @ X2 ) )
      | ~ ( in @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ X1 )
      | ( in @ X2 @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] : ( in @ Y0 @ ( setunion @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( !!
      @ ^ [Y0: $i] : ( in @ '#sk1' @ ( setunion @ ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ~ ( in @ '#sk1' @ ( setunion @ ( setadjoin @ ( setadjoin @ '#sk1' @ emptyset ) @ ( setadjoin @ ( setadjoin @ '#sk1' @ ( setadjoin @ '#sk2' @ emptyset ) ) @ emptyset ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl27,plain,
    ~ ( in @ '#sk1' @ ( setadjoin @ '#sk1' @ emptyset ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).

thf(zip_derived_cl6_001,plain,
    ! [X2: $i,X4: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl30,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SEU617^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i51T7k0L0Y true
% 0.12/0.31  % Computer : n027.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Wed Oct  1 16:14:53 EDT 2025
% 0.12/0.31  % CPUTime  : 
% 0.12/0.31  % Running portfolio for 300 s
% 0.12/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in HO mode
% 0.56/0.68  % Total configuration time : 828
% 0.56/0.68  % Estimated wc time : 1656
% 0.56/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.78  % Solved by lams/35_full_unif4.sh.
% 0.57/0.78  % done 6 iterations in 0.015s
% 0.57/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.78  % SZS output start Refutation
% See solution above
% 0.57/0.79  
% 0.57/0.79  
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.79  % Terminating...
% 1.97/0.87  % Runner terminated.
% 1.97/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------