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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET013+4 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TYqBC3Y9jy 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 04:51:06 PM UTC 2025

% Result   : Theorem 22.72s 3.87s
% Output   : Refutation 22.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  227 (  15   ~;  18   |;   2   &; 188   @)
%                                         (   3 <=>;   1  =>;   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     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

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

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

thf(equal_set_type,type,
    equal_set: $i > $i > $o ).

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

thf(intersection_type,type,
    intersection: $i > $i > $i ).

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

thf(equal_set,axiom,
    ! [A: $i,B: $i] :
      ( ( equal_set @ A @ B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

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

thf(thI06,conjecture,
    ! [A: $i,B: $i] : ( equal_set @ ( intersection @ A @ B ) @ ( intersection @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] : ( equal_set @ ( intersection @ A @ B ) @ ( intersection @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[thI06]) ).

thf(zip_derived_cl29,plain,
    ~ ( equal_set @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__4 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153,plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__4 @ sk__3 ) )
    | ~ ( subset @ ( intersection @ sk__4 @ sk__3 ) @ ( intersection @ sk__3 @ sk__4 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).

thf(subset,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [X: $i] :
          ( ( member @ X @ A )
         => ( member @ X @ B ) ) ) ).

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

thf(intersection,axiom,
    ! [X: $i,A: $i,B: $i] :
      ( ( member @ X @ ( intersection @ A @ B ) )
    <=> ( ( member @ X @ A )
        & ( member @ X @ B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
      | ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
      | ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 )
      | ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X0 )
      | ( subset @ X2 @ ( intersection @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) )
      | ~ ( member @ ( sk_ @ ( intersection @ X0 @ X2 ) @ ( intersection @ X1 @ X0 ) ) @ X2 )
      | ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl177]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( sk_ @ ( intersection @ X0 @ X2 ) @ ( intersection @ X1 @ X0 ) ) @ X2 )
      | ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl332]) ).

thf(zip_derived_cl8101,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) )
      | ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl337]) ).

thf(zip_derived_cl8124,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8101]) ).

thf(zip_derived_cl8124_002,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8101]) ).

thf(zip_derived_cl8295,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl8124,zip_derived_cl8124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET013+4 : TPTP v9.2.0. Released v2.2.0.
% 0.09/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TYqBC3Y9jy true
% 0.10/0.32  % Computer : n008.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 13:04:38 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.33  % Running in FO mode
% 0.17/0.60  % Total configuration time : 435
% 0.17/0.60  % Estimated wc time : 1092
% 0.17/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.72/3.87  % Solved by fo/fo6_bce.sh.
% 22.72/3.87  % BCE start: 30
% 22.72/3.87  % BCE eliminated: 0
% 22.72/3.87  % PE start: 30
% 22.72/3.87  logic: eq
% 22.72/3.87  % PE eliminated: 3
% 22.72/3.87  % done 459 iterations in 3.132s
% 22.72/3.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.72/3.87  % SZS output start Refutation
% See solution above
% 22.72/3.87  
% 22.72/3.87  
% 22.72/3.87  % Terminating...
% 22.72/3.93  % Runner terminated.
% 22.72/3.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------