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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU152+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FQY7Tk1fNf true

% Computer : n003.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 04:53:36 PM UTC 2025

% Result   : Theorem 0.40s 0.99s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   79 (  10   ~;   5   |;   0   &;  60   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

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

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

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

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

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

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(t12_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_union2 @ A @ B )
        = B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ X1 @ X0 )
        = X0 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[t12_xboole_1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( set_union2 @ ( singleton @ X1 ) @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(commutativity_k2_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( set_union2 @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( set_union2 @ X0 @ ( singleton @ X1 ) )
        = X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl1]) ).

thf(l23_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( ( set_union2 @ ( singleton @ A ) @ B )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( in @ A @ B )
       => ( ( set_union2 @ ( singleton @ A ) @ B )
          = B ) ),
    inference('cnf.neg',[status(esa)],[l23_zfmisc_1]) ).

thf(zip_derived_cl6,plain,
    ( ( set_union2 @ ( singleton @ sk_ ) @ sk__1 )
   != sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl39,plain,
    ( ( set_union2 @ sk__1 @ ( singleton @ sk_ ) )
   != sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( in @ sk_ @ sk__1 )
    | ( sk__1 != sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl39]) ).

thf(zip_derived_cl5,plain,
    in @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl5]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.24  % Problem  : SEU152+1 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.25  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FQY7Tk1fNf true
% 0.08/0.47  % Computer : n003.cluster.edu
% 0.08/0.47  % Model    : x86_64 x86_64
% 0.08/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.47  % Memory   : 8042.1875MB
% 0.08/0.47  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.47  % CPULimit : 300
% 0.08/0.47  % WCLimit  : 300
% 0.08/0.47  % DateTime : Wed Oct  1 16:05:23 EDT 2025
% 0.08/0.47  % CPUTime  : 
% 0.08/0.47  % Running portfolio for 300 s
% 0.08/0.47  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.47  % Number of cores: 8
% 0.08/0.47  % Python version: Python 3.6.8
% 0.08/0.47  % Running in FO mode
% 0.38/0.78  % Total configuration time : 435
% 0.38/0.78  % Estimated wc time : 1092
% 0.38/0.78  % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.90  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.95  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.96  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.99  % Solved by fo/fo6_bce.sh.
% 0.40/0.99  % BCE start: 11
% 0.40/0.99  % BCE eliminated: 0
% 0.40/0.99  % PE start: 11
% 0.40/0.99  logic: eq
% 0.40/0.99  % PE eliminated: 0
% 0.40/0.99  % done 18 iterations in 0.016s
% 0.40/0.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.40/0.99  % SZS output start Refutation
% See solution above
% 0.40/0.99  
% 0.40/0.99  
% 0.40/0.99  % Terminating...
% 0.41/1.09  % Runner terminated.
% 1.29/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------