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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET942+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JWuJNx8wnj true

% Computer : n008.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 04:53:12 PM UTC 2025

% Result   : Theorem 1.67s 1.31s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   26 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  253 (  19   ~;  31   |;   1   &; 196   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   52 (   0   ^;  51   !;   1   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(union_type,type,
    union: $i > $i ).

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

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

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

thf(sk__7_type,type,
    sk__7: $i ).

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

thf(t95_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( subset @ ( union @ A ) @ ( union @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ B )
       => ( subset @ ( union @ A ) @ ( union @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t95_zfmisc_1]) ).

thf(zip_derived_cl14,plain,
    ~ ( subset @ ( union @ sk__6 ) @ ( union @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(d4_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( union @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ? [D: $i] :
              ( ( in @ D @ A )
              & ( in @ C @ D ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ ( sk__3 @ X0 @ X2 ) )
      | ( X1
       != ( union @ X2 ) ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0
       != ( union @ X2 ) )
      | ( in @ ( sk_ @ X1 @ X0 ) @ ( sk__3 @ ( sk_ @ X1 @ X0 ) @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk_ @ X1 @ ( union @ X0 ) ) @ ( sk__3 @ ( sk_ @ X1 @ ( union @ X0 ) ) @ X0 ) )
      | ( subset @ ( union @ X0 ) @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl13,plain,
    subset @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( sk__3 @ X0 @ X2 ) @ X2 )
      | ( X1
       != ( union @ X2 ) ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0
       != ( union @ X2 ) )
      | ( in @ ( sk__3 @ ( sk_ @ X1 @ X0 ) @ X2 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__3 @ ( sk_ @ X1 @ ( union @ X0 ) ) @ X0 ) @ X0 )
      | ( subset @ ( union @ X0 ) @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl1,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_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( union @ X0 ) @ X1 )
      | ~ ( subset @ X0 @ X2 )
      | ( in @ ( sk__3 @ ( sk_ @ X1 @ ( union @ X0 ) ) @ X0 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__3 @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ sk__6 ) @ sk__7 )
      | ( subset @ ( union @ sk__6 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl37]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X2 @ X0 )
      | ( in @ X2 @ X3 )
      | ( X3
       != ( union @ X1 ) ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( union @ sk__6 ) @ X0 )
      | ( X1
       != ( union @ sk__7 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ ( sk__3 @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl4]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( union @ sk__6 ) @ X0 )
      | ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ X1 )
      | ( X1
       != ( union @ sk__7 ) )
      | ( subset @ ( union @ sk__6 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl60]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( union @ sk__7 ) )
      | ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ X1 )
      | ( subset @ ( union @ sk__6 ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( subset @ ( union @ sk__6 ) @ X0 )
      | ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ ( union @ sk__7 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl101,plain,
    ( ( subset @ ( union @ sk__6 ) @ ( union @ sk__7 ) )
    | ( subset @ ( union @ sk__6 ) @ ( union @ sk__7 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl93]) ).

thf(zip_derived_cl102,plain,
    subset @ ( union @ sk__6 ) @ ( union @ sk__7 ),
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl107,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : SET942+1 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JWuJNx8wnj true
% 0.10/0.34  % Computer : n008.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Wed Oct  1 13:18:08 EDT 2025
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  % Running portfolio for 300 s
% 0.10/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Number of cores: 8
% 0.10/0.37  % Python version: Python 3.6.8
% 0.10/0.38  % Running in FO mode
% 0.39/0.76  % Total configuration time : 435
% 0.39/0.76  % Estimated wc time : 1092
% 0.39/0.76  % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.97  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.99  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.41/1.02  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.41/1.05  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/1.06  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.41/1.07  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.67/1.31  % Solved by fo/fo4.sh.
% 1.67/1.31  % done 57 iterations in 0.104s
% 1.67/1.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.67/1.31  % SZS output start Refutation
% See solution above
% 1.67/1.31  
% 1.67/1.31  
% 1.67/1.31  % Terminating...
% 1.93/1.47  % Runner terminated.
% 2.00/1.51  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------