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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU144+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.YHwabAXqWE true

% Computer : n024.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 1.42s 2.95s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   26 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   52 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  164 (  20   ~;  20   |;   0   &; 118   @)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 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   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

thf(sk__3_type,type,
    sk__3: $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_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ B )
      <=> ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( in @ sk__2 @ sk__3 )
    | ~ ( subset @ ( singleton @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ~ ( in @ ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) ) @ sk__3 )
    | ~ ( in @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ( ( in @ sk__2 @ sk__3 )
    | ( subset @ ( singleton @ sk__2 ) @ sk__3 ) ),
    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_cl54,plain,
    ! [X0: $i] :
      ( ( in @ sk__2 @ sk__3 )
      | ( in @ X0 @ sk__3 )
      | ~ ( in @ X0 @ ( singleton @ sk__2 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ( ( singleton @ sk__2 )
       != ( singleton @ X0 ) )
      | ( in @ X0 @ sk__3 )
      | ( in @ sk__2 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl54]) ).

thf(zip_derived_cl78,plain,
    ( ( in @ sk__2 @ sk__3 )
    | ( in @ sk__2 @ sk__3 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl79,plain,
    in @ sk__2 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl80,plain,
    ~ ( in @ ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) ) @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl79]) ).

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(zip_derived_cl10_001,plain,
    ( ~ ( in @ sk__2 @ sk__3 )
    | ~ ( subset @ ( singleton @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    ( ( in @ ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) ) @ ( singleton @ sk__2 ) )
    | ~ ( in @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).

thf(zip_derived_cl79_002,plain,
    in @ sk__2 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl118,plain,
    in @ ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) ) @ ( singleton @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl79]) ).

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_cl120,plain,
    ! [X0: $i] :
      ( ( ( singleton @ sk__2 )
       != ( singleton @ X0 ) )
      | ( ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl2]) ).

thf(zip_derived_cl124,plain,
    ( ( sk__1 @ sk__3 @ ( singleton @ sk__2 ) )
    = sk__2 ),
    inference(eq_res,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl79_003,plain,
    in @ sk__2 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl127,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl124,zip_derived_cl79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/1.08  % Problem  : SEU144+1 : TPTP v9.2.0. Released v3.3.0.
% 0.14/1.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YHwabAXqWE true
% 0.14/1.64  % Computer : n024.cluster.edu
% 0.14/1.64  % Model    : x86_64 x86_64
% 0.14/1.64  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.64  % Memory   : 8042.1875MB
% 0.14/1.64  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/1.64  % CPULimit : 300
% 0.14/1.64  % WCLimit  : 300
% 0.14/1.64  % DateTime : Wed Oct  1 16:06:24 EDT 2025
% 0.14/1.66  % CPUTime  : 
% 0.14/1.66  % Running portfolio for 300 s
% 0.14/1.66  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.67  % Number of cores: 8
% 0.21/1.69  % Python version: Python 3.6.8
% 0.21/1.72  % Running in FO mode
% 0.54/2.43  % Total configuration time : 435
% 0.54/2.43  % Estimated wc time : 1092
% 0.54/2.43  % Estimated cpu time (7 cpus) : 156.0
% 0.54/2.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.32/2.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/2.84  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.35/2.86  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.35/2.87  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.35/2.90  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.35/2.92  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.42/2.95  % Solved by fo/fo3_bce.sh.
% 1.42/2.95  % BCE start: 12
% 1.42/2.95  % BCE eliminated: 0
% 1.42/2.95  % PE start: 12
% 1.42/2.95  logic: eq
% 1.42/2.95  % PE eliminated: 0
% 1.42/2.95  % done 55 iterations in 0.067s
% 1.42/2.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/2.95  % SZS output start Refutation
% See solution above
% 1.42/2.95  
% 1.42/2.95  
% 1.42/2.95  % Terminating...
% 1.69/3.25  % Runner terminated.
% 1.79/3.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------