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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM560+1 : 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.dPymxuZJgF true

% Computer : n001.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 04:47:26 PM UTC 2025

% Result   : Theorem 0.58s 1.01s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  101 (   8 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  373 (  50   ~;  49   |;   5   &; 262   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

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

thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

thf(aFunction0_type,type,
    aFunction0: $i > $o ).

thf(xF_type,type,
    xF: $i ).

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

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

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

thf(xy_type,type,
    xy: $i ).

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

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

thf(mDefPtt,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aFunction0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtlbdtrb0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( aElementOf0 @ W3 @ ( szDzozmdt0 @ W0 ) )
                  & ( ( sdtlpdtrp0 @ W0 @ W3 )
                    = W1 ) ) ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aSet0 @ X2 )
      | ( X2
       != ( sdtlbdtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefPtt]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( aSet0 @ ( sdtlbdtrb0 @ X1 @ X0 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(mDomSet,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ( aSet0 @ ( szDzozmdt0 @ W0 ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( aSet0 @ ( szDzozmdt0 @ X0 ) )
      | ~ ( aFunction0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDomSet]) ).

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk_ @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(m__2693,axiom,
    ( ( aElement0 @ xy )
    & ( aFunction0 @ xF ) ) ).

thf(zip_derived_cl17,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl17_001,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl18,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl8_002,plain,
    ! [X0: $i] :
      ( ( aSet0 @ ( szDzozmdt0 @ X0 ) )
      | ~ ( aFunction0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDomSet]) ).

thf(zip_derived_cl18_003,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl24_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( aSet0 @ ( sdtlbdtrb0 @ X1 @ X0 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aFunction0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aSet0 @ X2 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ X1 @ X0 ) @ X2 )
      | ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ X1 @ X0 ) @ X2 ) @ ( sdtlbdtrb0 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ X0 ) @ X1 ) @ ( sdtlbdtrb0 @ xF @ X0 ) )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ X0 ) @ X1 )
      | ~ ( aSet0 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl45]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ X1 ) @ ( szDzozmdt0 @ X0 ) )
      | ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ X1 ) @ ( szDzozmdt0 @ X0 ) ) @ ( sdtlbdtrb0 @ xF @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl67]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ X0 ) @ ( szDzozmdt0 @ xF ) ) @ ( sdtlbdtrb0 @ xF @ X0 ) )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ X0 ) @ ( szDzozmdt0 @ xF ) )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl77]) ).

thf(zip_derived_cl81,plain,
    ( ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) )
    | ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ) @ ( sdtlbdtrb0 @ xF @ xy ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl79]) ).

thf(m__,conjecture,
    aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl19,plain,
    ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ) @ ( sdtlbdtrb0 @ xF @ xy ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl19]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( aElementOf0 @ X2 @ ( szDzozmdt0 @ X0 ) )
      | ( X3
       != ( sdtlbdtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefPtt]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtlbdtrb0 @ xF @ xy )
       != ( sdtlbdtrb0 @ X1 @ X0 ) )
      | ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ) @ ( szDzozmdt0 @ X1 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aFunction0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl12]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ( aElementOf0 @ ( sk_ @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ) @ ( szDzozmdt0 @ X0 ) )
      | ( ( sdtlbdtrb0 @ xF @ xy )
       != ( sdtlbdtrb0 @ X0 @ xy ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl84]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( aSet0 @ ( szDzozmdt0 @ xF ) )
    | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) )
    | ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) )
    | ( ( sdtlbdtrb0 @ xF @ xy )
     != ( sdtlbdtrb0 @ xF @ xy ) )
    | ~ ( aFunction0 @ xF ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl86]) ).

thf(zip_derived_cl18_005,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( aSet0 @ ( szDzozmdt0 @ xF ) )
    | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) )
    | ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) )
    | ( ( sdtlbdtrb0 @ xF @ xy )
     != ( sdtlbdtrb0 @ xF @ xy ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl18]) ).

thf(zip_derived_cl93,plain,
    ( ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) )
    | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) )
    | ~ ( aSet0 @ ( szDzozmdt0 @ xF ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl19_006,plain,
    ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xF @ xy ) @ ( szDzozmdt0 @ xF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ( ~ ( aSet0 @ ( szDzozmdt0 @ xF ) )
    | ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl19]) ).

thf(zip_derived_cl98,plain,
    ( ~ ( aFunction0 @ xF )
    | ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl97]) ).

thf(zip_derived_cl18_007,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl99,plain,
    ~ ( aSet0 @ ( sdtlbdtrb0 @ xF @ xy ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl18]) ).

thf(zip_derived_cl107,plain,
    ( ~ ( aFunction0 @ xF )
    | ~ ( aElement0 @ xy ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl99]) ).

thf(zip_derived_cl18_008,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl17_009,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__2693]) ).

thf(zip_derived_cl108,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl18,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUM560+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dPymxuZJgF true
% 0.14/0.36  % Computer : n001.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 16:43:08 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.84  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.01  % Solved by fo/fo4.sh.
% 0.58/1.01  % done 50 iterations in 0.058s
% 0.58/1.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.01  % SZS output start Refutation
% See solution above
% 0.58/1.01  
% 0.58/1.01  
% 0.58/1.01  % Terminating...
% 3.23/1.10  % Runner terminated.
% 3.23/1.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------