TSTP Solution File: NUM564+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LrbFXA91GV true

% Computer : n021.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 Aug 31 12:42:24 EDT 2023

% Result   : Theorem 7.71s 1.71s
% Output   : Refutation 7.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  116 (  49 unt;  19 typ;   0 def)
%            Number of atoms       :  198 (  69 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  517 (  82   ~;  78   |;  11   &; 334   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   60 (   0   ^;  59   !;   1   ?;  60   :)

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

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

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

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

thf(sz00_type,type,
    sz00: $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(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

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

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

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

thf(xT_type,type,
    xT: $i ).

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

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

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

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

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(m__,conjecture,
    aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl117,plain,
    ~ ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__3462,axiom,
    xK = sz00 ).

thf(zip_derived_cl116,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl121,plain,
    ~ ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl116]) ).

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

thf(zip_derived_cl59,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl116_001,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl122,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl116]) ).

thf(m__3453,axiom,
    ( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
    & ( ( szDzozmdt0 @ xc )
      = ( slbdtsldtrb0 @ xS @ xK ) )
    & ( aFunction0 @ xc ) ) ).

thf(zip_derived_cl110,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl131,plain,
    ~ ( aElementOf0 @ ( slbdtrb0 @ xK ) @ ( szDzozmdt0 @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl122,zip_derived_cl110]) ).

thf(zip_derived_cl122_002,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl116]) ).

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i] :
      ( ( X0
        = ( slbdtrb0 @ xK ) )
      | ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl5]) ).

thf(zip_derived_cl110_003,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

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

thf(zip_derived_cl22,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(zip_derived_cl116_004,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl127,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl116]) ).

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_cl69,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_cl561,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_cl127,zip_derived_cl69]) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ~ ( aSet0 @ xS )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ( ( sbrdtbr0 @ X1 )
        = xK ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl561]) ).

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

thf(zip_derived_cl108,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_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl145,plain,
    ( ~ ( aSet0 @ szNzAzT0 )
    | ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl13]) ).

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

thf(zip_derived_cl21,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl146,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl565,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ( ( sbrdtbr0 @ X1 )
        = xK ) ),
    inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl146]) ).

thf(zip_derived_cl566,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = xK )
      | ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl565]) ).

thf(zip_derived_cl5230,plain,
    ( ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
    | ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) )
    | ( ( sbrdtbr0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
      = xK ) ),
    inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl566]) ).

thf(zip_derived_cl110_005,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl127_006,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl116]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( aSet0 @ X2 )
      | ( X2
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xK ) )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl68]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ~ ( aSet0 @ xS )
      | ( aSet0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl204]) ).

thf(zip_derived_cl146_007,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl146]) ).

thf(zip_derived_cl208,plain,
    aSet0 @ ( szDzozmdt0 @ xc ),
    inference(eq_res,[status(thm)],[zip_derived_cl207]) ).

thf(zip_derived_cl5458,plain,
    ( ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) )
    | ( ( sbrdtbr0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
      = xK ) ),
    inference(demod,[status(thm)],[zip_derived_cl5230,zip_derived_cl208]) ).

thf(zip_derived_cl110_008,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl127_009,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl116]) ).

thf(mSelNSet,axiom,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ~ ( isFinite0 @ W0 ) )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ szNzAzT0 )
         => ( ( slbdtsldtrb0 @ W0 @ W1 )
           != slcrc0 ) ) ) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( ( slbdtsldtrb0 @ X1 @ X0 )
       != slcrc0 )
      | ( isFinite0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mSelNSet]) ).

thf(zip_derived_cl122_010,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl116]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( ( slbdtsldtrb0 @ X1 @ X0 )
       != ( slbdtrb0 @ xK ) )
      | ( isFinite0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl122]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( isFinite0 @ X0 )
      | ( ( slbdtsldtrb0 @ X0 @ xK )
       != ( slbdtrb0 @ xK ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl166]) ).

thf(zip_derived_cl168,plain,
    ( ( ( szDzozmdt0 @ xc )
     != ( slbdtrb0 @ xK ) )
    | ( isFinite0 @ xS )
    | ~ ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl167]) ).

thf(zip_derived_cl146_011,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl169,plain,
    ( ( ( szDzozmdt0 @ xc )
     != ( slbdtrb0 @ xK ) )
    | ( isFinite0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl146]) ).

thf(zip_derived_cl107,plain,
    isCountable0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(mCountNFin,axiom,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ( isCountable0 @ W0 ) )
     => ~ ( isFinite0 @ W0 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( isFinite0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCountNFin]) ).

thf(zip_derived_cl142,plain,
    ( ~ ( aSet0 @ xS )
    | ~ ( isFinite0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl8]) ).

thf(zip_derived_cl146_012,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl147,plain,
    ~ ( isFinite0 @ xS ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl146]) ).

thf(zip_derived_cl170,plain,
    ( ( szDzozmdt0 @ xc )
   != ( slbdtrb0 @ xK ) ),
    inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl147]) ).

thf(zip_derived_cl5459,plain,
    ( ( sbrdtbr0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
    = xK ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5458,zip_derived_cl170]) ).

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

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl116_013,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl122_014,plain,
    ( ( slbdtrb0 @ xK )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl116]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != xK )
      | ( X0
        = ( slbdtrb0 @ xK ) )
      | ~ ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl116,zip_derived_cl122]) ).

thf(zip_derived_cl5491,plain,
    ( ( xK != xK )
    | ~ ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
    | ( ( sk_ @ ( szDzozmdt0 @ xc ) )
      = ( slbdtrb0 @ xK ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5459,zip_derived_cl137]) ).

thf(zip_derived_cl5551,plain,
    ( ( ( sk_ @ ( szDzozmdt0 @ xc ) )
      = ( slbdtrb0 @ xK ) )
    | ~ ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5491]) ).

thf(zip_derived_cl338_015,plain,
    ! [X0: $i] :
      ( ( X0
        = ( slbdtrb0 @ xK ) )
      | ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl5]) ).

thf(zip_derived_cl110_016,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl127_017,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl116]) ).

thf(zip_derived_cl70,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_cl489,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_cl127,zip_derived_cl70]) ).

thf(zip_derived_cl491,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ~ ( aSet0 @ xS )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ( aSubsetOf0 @ X1 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl489]) ).

thf(zip_derived_cl146_018,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl493,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( szDzozmdt0 @ xc ) )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ( aSubsetOf0 @ X1 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl146]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ xS )
      | ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl493]) ).

thf(zip_derived_cl5229,plain,
    ( ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
    | ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) )
    | ( aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl494]) ).

thf(zip_derived_cl208_019,plain,
    aSet0 @ ( szDzozmdt0 @ xc ),
    inference(eq_res,[status(thm)],[zip_derived_cl207]) ).

thf(zip_derived_cl5456,plain,
    ( ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) )
    | ( aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl5229,zip_derived_cl208]) ).

thf(zip_derived_cl170_020,plain,
    ( ( szDzozmdt0 @ xc )
   != ( slbdtrb0 @ xK ) ),
    inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl147]) ).

thf(zip_derived_cl5457,plain,
    aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5456,zip_derived_cl170]) ).

thf(zip_derived_cl13_021,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl5584,plain,
    ( ~ ( aSet0 @ xS )
    | ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5457,zip_derived_cl13]) ).

thf(zip_derived_cl146_022,plain,
    aSet0 @ xS,
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl21]) ).

thf(zip_derived_cl5590,plain,
    aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl5584,zip_derived_cl146]) ).

thf(zip_derived_cl5594,plain,
    ( ( sk_ @ ( szDzozmdt0 @ xc ) )
    = ( slbdtrb0 @ xK ) ),
    inference(demod,[status(thm)],[zip_derived_cl5551,zip_derived_cl5590]) ).

thf(zip_derived_cl338_023,plain,
    ! [X0: $i] :
      ( ( X0
        = ( slbdtrb0 @ xK ) )
      | ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl5]) ).

thf(zip_derived_cl5598,plain,
    ( ( aElementOf0 @ ( slbdtrb0 @ xK ) @ ( szDzozmdt0 @ xc ) )
    | ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
    | ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5594,zip_derived_cl338]) ).

thf(zip_derived_cl208_024,plain,
    aSet0 @ ( szDzozmdt0 @ xc ),
    inference(eq_res,[status(thm)],[zip_derived_cl207]) ).

thf(zip_derived_cl5600,plain,
    ( ( aElementOf0 @ ( slbdtrb0 @ xK ) @ ( szDzozmdt0 @ xc ) )
    | ( ( szDzozmdt0 @ xc )
      = ( slbdtrb0 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5598,zip_derived_cl208]) ).

thf(zip_derived_cl170_025,plain,
    ( ( szDzozmdt0 @ xc )
   != ( slbdtrb0 @ xK ) ),
    inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl147]) ).

thf(zip_derived_cl5601,plain,
    aElementOf0 @ ( slbdtrb0 @ xK ) @ ( szDzozmdt0 @ xc ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5600,zip_derived_cl170]) ).

thf(zip_derived_cl5651,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl5601]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM564+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LrbFXA91GV true
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 09:14:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.71/1.71  % Solved by fo/fo7.sh.
% 7.71/1.71  % done 1338 iterations in 0.917s
% 7.71/1.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.71/1.71  % SZS output start Refutation
% See solution above
% 7.71/1.71  
% 7.71/1.71  
% 7.71/1.72  % Terminating...
% 7.71/1.76  % Runner terminated.
% 7.71/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------