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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM565+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lTFPzzkssx true

% Computer : n017.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 04:47:28 PM UTC 2025

% Result   : Theorem 0.53s 0.82s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   35 (  16 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   86 (  10   ~;   5   |;  10   &;  53   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(sz00_type,type,
    sz00: $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(xc_type,type,
    xc: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(xS_type,type,
    xS: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(slcrc0_type,type,
    slcrc0: $i ).

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

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( aElementOf0 @ W1 @ xS ) )
        & ( aSubsetOf0 @ W0 @ xS )
        & ( ( sbrdtbr0 @ W0 )
          = sz00 )
        & ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) )
     => ( ( ( aSet0 @ slcrc0 )
          & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ slcrc0 ) )
       => ( ( sdtlpdtrp0 @ xc @ W0 )
          = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( ( aSet0 @ W0 )
          & ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ W0 )
             => ( aElementOf0 @ W1 @ xS ) )
          & ( aSubsetOf0 @ W0 @ xS )
          & ( ( sbrdtbr0 @ W0 )
            = sz00 )
          & ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) )
       => ( ( ( aSet0 @ slcrc0 )
            & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ slcrc0 ) )
         => ( ( sdtlpdtrp0 @ xc @ W0 )
            = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl80,plain,
    ( ( sdtlpdtrp0 @ xc @ sk__13 )
   != ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ( ( sbrdtbr0 @ sk__13 )
    = sz00 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mCardEmpty,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( ( sbrdtbr0 @ W0 )
          = sz00 )
      <=> ( W0 = slcrc0 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl147,plain,
    ( ( sz00 != sz00 )
    | ~ ( aSet0 @ sk__13 )
    | ( sk__13 = slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl25]) ).

thf(zip_derived_cl85,plain,
    aSet0 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149,plain,
    ( ( sz00 != sz00 )
    | ( sk__13 = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl85]) ).

thf(zip_derived_cl150,plain,
    sk__13 = slcrc0,
    inference(simplify,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl162,plain,
    ( ( sdtlpdtrp0 @ xc @ sk__13 )
   != ( sdtlpdtrp0 @ xc @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl150]) ).

thf(zip_derived_cl163,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM565+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lTFPzzkssx true
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 16:17:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.43/0.62  % Total configuration time : 435
% 0.43/0.62  % Estimated wc time : 1092
% 0.43/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.82  % Solved by fo/fo4.sh.
% 0.53/0.82  % done 58 iterations in 0.047s
% 0.53/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.82  % SZS output start Refutation
% See solution above
% 0.53/0.82  
% 0.53/0.82  
% 0.53/0.82  % Terminating...
% 2.00/0.94  % Runner terminated.
% 2.00/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------