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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU145+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.00xT8RVsDs true

% Computer : n021.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 04:53:34 PM UTC 2025

% Result   : Theorem 0.59s 0.85s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   51 (   8 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  204 (  18   ~;  17   |;   1   &; 160   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

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

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(l3_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( ( in @ C @ A )
        | ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( subset @ A @ B )
       => ( ( in @ C @ A )
          | ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[l3_zfmisc_1]) ).

thf(zip_derived_cl16,plain,
    ~ ( subset @ sk__3 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl16]) ).

thf(zip_derived_cl18,plain,
    subset @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__4 )
      | ~ ( in @ X0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).

thf(d4_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_difference @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            & ~ ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X3
       != ( set_difference @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d4_xboole_0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X2 @ ( set_difference @ X1 @ X0 ) )
      | ( in @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl16_001,plain,
    ~ ( subset @ sk__3 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ~ ( in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl16]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ sk__4 )
    | ( in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ ( singleton @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl34]) ).

thf(zip_derived_cl72,plain,
    ( ~ ( in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ sk__3 )
    | ( in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ ( singleton @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl59]) ).

thf(zip_derived_cl36_002,plain,
    in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl16]) ).

thf(zip_derived_cl73,plain,
    in @ ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 ) @ ( singleton @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl36]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl76,plain,
    ( ( sk__1 @ ( set_difference @ sk__4 @ ( singleton @ sk__5 ) ) @ sk__3 )
    = sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl22]) ).

thf(zip_derived_cl17,plain,
    ~ ( in @ sk__5 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl76,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU145+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.00xT8RVsDs true
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 16:00:38 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.56/0.69  % Total configuration time : 435
% 0.56/0.69  % Estimated wc time : 1092
% 0.56/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.85  % Solved by fo/fo7.sh.
% 0.59/0.85  % done 44 iterations in 0.023s
% 0.59/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.85  % SZS output start Refutation
% See solution above
% 0.59/0.85  
% 0.59/0.85  
% 0.59/0.85  % Terminating...
% 1.43/1.01  % Runner terminated.
% 1.43/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------