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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM533+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P9cyvowUzl true

% Computer : n013.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 04:47:21 PM UTC 2025

% Result   : Theorem 0.51s 0.70s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   76 (   6   ~;   4   |;   6   &;  52   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xB_type,type,
    xB: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(xC_type,type,
    xC: $i ).

thf(xA_type,type,
    xA: $i ).

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

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(m__,conjecture,
    ( ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xA )
         => ( aElementOf0 @ W0 @ xB ) )
      & ( aSubsetOf0 @ xA @ xB )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xB )
         => ( aElementOf0 @ W0 @ xC ) )
      & ( aSubsetOf0 @ xB @ xC ) )
   => ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xA )
         => ( aElementOf0 @ W0 @ xC ) )
      | ( aSubsetOf0 @ xA @ xC ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xA )
           => ( aElementOf0 @ W0 @ xB ) )
        & ( aSubsetOf0 @ xA @ xB )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xB )
           => ( aElementOf0 @ W0 @ xC ) )
        & ( aSubsetOf0 @ xB @ xC ) )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xA )
           => ( aElementOf0 @ W0 @ xC ) )
        | ( aSubsetOf0 @ xA @ xC ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xB )
      | ~ ( aElementOf0 @ X0 @ xA ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X1: $i] :
      ( ( aElementOf0 @ X1 @ xC )
      | ~ ( aElementOf0 @ X1 @ xB ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ~ ( aElementOf0 @ sk__2 @ xC ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ~ ( aElementOf0 @ sk__2 @ xB ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl25]) ).

thf(zip_derived_cl132,plain,
    ~ ( aElementOf0 @ sk__2 @ xA ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl128]) ).

thf(zip_derived_cl26,plain,
    aElementOf0 @ sk__2 @ xA,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM533+2 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P9cyvowUzl true
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:25:38 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.49/0.61  % Total configuration time : 435
% 0.49/0.61  % Estimated wc time : 1092
% 0.49/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70  % Solved by fo/fo3_bce.sh.
% 0.51/0.70  % BCE start: 28
% 0.51/0.70  % BCE eliminated: 5
% 0.51/0.70  % PE start: 23
% 0.51/0.70  logic: eq
% 0.51/0.70  % PE eliminated: 0
% 0.51/0.70  % done 24 iterations in 0.009s
% 0.51/0.70  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.70  % SZS output start Refutation
% See solution above
% 0.51/0.70  
% 0.51/0.70  
% 0.51/0.70  % Terminating...
% 0.53/0.73  % Runner terminated.
% 0.53/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------