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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM565+1 : 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.zTbYJob3HQ true

% Computer : n029.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 0.54s 0.92s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   52 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  101 (  36 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  246 (  37   ~;  33   |;   6   &; 160   @)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% 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(isCountable0_type,type,
    isCountable0: $i > $o ).

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

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

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

thf(sk__18_type,type,
    sk__18: $i ).

thf(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

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

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

thf(xK_type,type,
    xK: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) )
     => ( ( sdtlpdtrp0 @ xc @ W0 )
        = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ).

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

thf(zip_derived_cl144,plain,
    ( ( sdtlpdtrp0 @ xc @ sk__18 )
   != ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mSegZero,axiom,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ) ).

thf(zip_derived_cl81,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(m__3462,axiom,
    xK = sz00 ).

thf(zip_derived_cl141,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl148,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl141]) ).

thf(zip_derived_cl152,plain,
    ( ( sdtlpdtrp0 @ xc @ sk__18 )
   != ( sdtlpdtrp0 @ xc @ ( slbdtrb0 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl148]) ).

thf(zip_derived_cl143,plain,
    aElementOf0 @ sk__18 @ ( slbdtsldtrb0 @ xS @ sz00 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_001,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl202,plain,
    aElementOf0 @ sk__18 @ ( slbdtsldtrb0 @ xS @ xK ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl141]) ).

thf(mZeroNum,axiom,
    aElementOf0 @ sz00 @ szNzAzT0 ).

thf(zip_derived_cl44,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(zip_derived_cl141_002,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl154,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl141]) ).

thf(mDefSel,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( slbdtsldtrb0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( aSubsetOf0 @ W3 @ W0 )
                  & ( ( sbrdtbr0 @ W3 )
                    = W1 ) ) ) ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( ( sbrdtbr0 @ X2 )
        = X1 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl747,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xK ) )
      | ( ( sbrdtbr0 @ X2 )
        = xK )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl91]) ).

thf(zip_derived_cl749,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xK ) )
      | ( ( sbrdtbr0 @ X1 )
        = xK ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl747]) ).

thf(zip_derived_cl752,plain,
    ( ( ( sbrdtbr0 @ sk__18 )
      = xK )
    | ~ ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl749]) ).

thf(m__3435,axiom,
    ( ( isCountable0 @ xS )
    & ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).

thf(zip_derived_cl133,plain,
    aSubsetOf0 @ xS @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3435]) ).

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_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl170,plain,
    ( ~ ( aSet0 @ szNzAzT0 )
    | ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl14]) ).

thf(mNATSet,axiom,
    ( ( isCountable0 @ szNzAzT0 )
    & ( aSet0 @ szNzAzT0 ) ) ).

thf(zip_derived_cl43,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl171,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl43]) ).

thf(zip_derived_cl755,plain,
    ( ( sbrdtbr0 @ sk__18 )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl171]) ).

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

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl141_003,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl148_004,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl141]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != xK )
      | ( X0
        = ( slbdtrb0 @ xK ) )
      | ~ ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl141,zip_derived_cl148]) ).

thf(zip_derived_cl758,plain,
    ( ( xK != xK )
    | ~ ( aSet0 @ sk__18 )
    | ( sk__18
      = ( slbdtrb0 @ xK ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl163]) ).

thf(zip_derived_cl202_005,plain,
    aElementOf0 @ sk__18 @ ( slbdtsldtrb0 @ xS @ xK ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl141]) ).

thf(zip_derived_cl154_006,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl141]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( aSubsetOf0 @ X2 @ X0 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xK ) )
      | ( aSubsetOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl92]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xK ) )
      | ( aSubsetOf0 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl542]) ).

thf(zip_derived_cl547,plain,
    ( ( aSubsetOf0 @ sk__18 @ xS )
    | ~ ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl544]) ).

thf(zip_derived_cl171_007,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl43]) ).

thf(zip_derived_cl550,plain,
    aSubsetOf0 @ sk__18 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl171]) ).

thf(zip_derived_cl14_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( aSet0 @ xS )
    | ( aSet0 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl14]) ).

thf(zip_derived_cl171_009,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl43]) ).

thf(zip_derived_cl556,plain,
    aSet0 @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl171]) ).

thf(zip_derived_cl761,plain,
    ( ( xK != xK )
    | ( sk__18
      = ( slbdtrb0 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl758,zip_derived_cl556]) ).

thf(zip_derived_cl762,plain,
    ( sk__18
    = ( slbdtrb0 @ xK ) ),
    inference(simplify,[status(thm)],[zip_derived_cl761]) ).

thf(zip_derived_cl763,plain,
    ( ( sdtlpdtrp0 @ xc @ ( slbdtrb0 @ xK ) )
   != ( sdtlpdtrp0 @ xc @ ( slbdtrb0 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl762]) ).

thf(zip_derived_cl764,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM565+1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zTbYJob3HQ true
% 0.12/0.33  % Computer : n029.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 16:22:38 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % 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
% 0.51/0.61  % Total configuration time : 435
% 0.51/0.61  % Estimated wc time : 1092
% 0.51/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.92  % Solved by fo/fo7.sh.
% 0.54/0.92  % done 326 iterations in 0.166s
% 0.54/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.92  % SZS output start Refutation
% See solution above
% 0.54/0.92  
% 0.54/0.92  
% 0.54/0.92  % Terminating...
% 0.56/1.04  % Runner terminated.
% 0.56/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------