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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET929+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.SHed1QAoEQ true

% Computer : n014.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 04:53:11 PM UTC 2025

% Result   : Theorem 0.46s 0.68s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (  14 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  182 (  21   ~;  20   |;   3   &; 134   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

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

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(empty_set_type,type,
    empty_set: $i ).

thf(t38_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ ( unordered_pair @ A @ B ) @ C )
    <=> ( ( in @ A @ C )
        & ( in @ B @ C ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( unordered_pair @ X0 @ X1 ) @ X2 )
      | ~ ( in @ X1 @ X2 )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t38_zfmisc_1]) ).

thf(t37_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t37_xboole_1]) ).

thf(t73_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
        = empty_set )
    <=> ( ( in @ A @ C )
        & ( in @ B @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
          = empty_set )
      <=> ( ( in @ A @ C )
          & ( in @ B @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t73_zfmisc_1]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ~ ( in @ sk__2 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( ( set_difference @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[t37_xboole_1]) ).

thf(zip_derived_cl90,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl91,plain,
    ( ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
    | ( in @ sk__2 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( unordered_pair @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t38_zfmisc_1]) ).

thf(zip_derived_cl102,plain,
    in @ sk__2 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl8]) ).

thf(zip_derived_cl103,plain,
    ( ~ ( in @ sk__3 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
     != empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl102]) ).

thf(zip_derived_cl12,plain,
    ( ( in @ sk__3 @ sk__4 )
    | ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( ( set_difference @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[t37_xboole_1]) ).

thf(zip_derived_cl100,plain,
    ( ( in @ sk__3 @ sk__4 )
    | ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).

thf(zip_derived_cl101,plain,
    ( ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
    | ( in @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( unordered_pair @ X2 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t38_zfmisc_1]) ).

thf(zip_derived_cl105,plain,
    in @ sk__3 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl9]) ).

thf(zip_derived_cl107,plain,
    ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
   != empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl105]) ).

thf(zip_derived_cl108,plain,
    ( ~ ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl107]) ).

thf(zip_derived_cl109,plain,
    ~ ( subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 ),
    inference(simplify,[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl110,plain,
    ( ~ ( in @ sk__2 @ sk__4 )
    | ~ ( in @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl109]) ).

thf(zip_derived_cl102_002,plain,
    in @ sk__2 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl8]) ).

thf(zip_derived_cl105_003,plain,
    in @ sk__3 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl9]) ).

thf(zip_derived_cl111,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl102,zip_derived_cl105]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET929+1 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SHed1QAoEQ true
% 0.10/0.30  % Computer : n014.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 13:03:08 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.45/0.56  % Total configuration time : 435
% 0.45/0.56  % Estimated wc time : 1092
% 0.45/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.68  % Solved by fo/fo6_bce.sh.
% 0.46/0.68  % BCE start: 14
% 0.46/0.68  % BCE eliminated: 0
% 0.46/0.68  % PE start: 14
% 0.46/0.68  logic: eq
% 0.46/0.68  % PE eliminated: 1
% 0.46/0.68  % done 25 iterations in 0.013s
% 0.46/0.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.68  % SZS output start Refutation
% See solution above
% 0.46/0.68  
% 0.46/0.68  
% 0.46/0.68  % Terminating...
% 1.61/0.77  % Runner terminated.
% 1.61/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------