TSTP Solution File: NUM595+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM595+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4LcTcaYT1b true

% Computer : n019.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 12:42:37 EDT 2023

% Result   : Theorem 181.11s 26.77s
% Output   : Refutation 181.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  130 (  50 unt;  25 typ;   0 def)
%            Number of atoms       :  224 (  79 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  749 (  81   ~;  85   |;  18   &; 549   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  13 con; 0-2 aty)
%            Number of variables   :   64 (   0   ^;  61   !;   3   ?;  64   :)

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

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

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

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

thf(xi_type,type,
    xi: $i ).

thf(xN_type,type,
    xN: $i ).

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

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(xd_type,type,
    xd: $i ).

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

thf(xX_type,type,
    xX: $i ).

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

thf(xx_type,type,
    xx: $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(sk__23_type,type,
    sk__23: $i > $i ).

thf(xk_type,type,
    xk: $i ).

thf(m__4806,axiom,
    ( ( ( sdtlpdtrp0 @ xd @ xi )
      = xx )
    & ( aElementOf0 @ xi @ szNzAzT0 ) ) ).

thf(zip_derived_cl192,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(m__4618,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ? [W1: $i] :
          ( ! [W2: $i] :
              ( ( ( aSet0 @ W2 )
                & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) )
             => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W2 )
                = W1 ) )
          & ( aElementOf0 @ W1 @ xT ) ) ) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__23 @ X0 ) @ xT )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4618]) ).

thf(zip_derived_cl273,plain,
    aElementOf0 @ ( sk__23 @ xi ) @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl182]) ).

thf(m__4826,axiom,
    ( ( xX != slcrc0 )
    & ( xX
      = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ xk ) ) ) ).

thf(zip_derived_cl194,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ xk ) ),
    inference(cnf,[status(esa)],[m__4826]) ).

thf(m__3418,axiom,
    aElementOf0 @ xK @ szNzAzT0 ).

thf(zip_derived_cl146,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(mNatExtra,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( W0 = sz00 )
        | ? [W1: $i] :
            ( ( W0
              = ( szszuzczcdt0 @ W1 ) )
            & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__4 @ X0 ) @ szNzAzT0 )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNatExtra]) ).

thf(zip_derived_cl496,plain,
    ( ( xK = sz00 )
    | ( aElementOf0 @ ( sk__4 @ xK ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl50]) ).

thf(m__3462,axiom,
    xK != sz00 ).

thf(zip_derived_cl156,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl501,plain,
    aElementOf0 @ ( sk__4 @ xK ) @ szNzAzT0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl496,zip_derived_cl156]) ).

thf(m__3533,axiom,
    ( ( ( szszuzczcdt0 @ xk )
      = xK )
    & ( aElementOf0 @ xk @ szNzAzT0 ) ) ).

thf(zip_derived_cl159,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(mSuccEquSucc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( szszuzczcdt0 @ W0 )
          = ( szszuzczcdt0 @ W1 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ( ( szszuzczcdt0 @ X0 )
       != ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccEquSucc]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ xk )
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl48]) ).

thf(zip_derived_cl158,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl604,plain,
    ! [X0: $i] :
      ( ( xK
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl158]) ).

thf(zip_derived_cl952,plain,
    ( ( xk
      = ( sk__4 @ xK ) )
    | ( xK
     != ( szszuzczcdt0 @ ( sk__4 @ xK ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl604]) ).

thf(zip_derived_cl146_001,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( X0
        = ( szszuzczcdt0 @ ( sk__4 @ X0 ) ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNatExtra]) ).

thf(zip_derived_cl545,plain,
    ( ( xK = sz00 )
    | ( xK
      = ( szszuzczcdt0 @ ( sk__4 @ xK ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl49]) ).

thf(zip_derived_cl156_002,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl550,plain,
    ( xK
    = ( szszuzczcdt0 @ ( sk__4 @ xK ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl545,zip_derived_cl156]) ).

thf(zip_derived_cl962,plain,
    ( ( xk
      = ( sk__4 @ xK ) )
    | ( xK != xK ) ),
    inference(demod,[status(thm)],[zip_derived_cl952,zip_derived_cl550]) ).

thf(zip_derived_cl963,plain,
    ( xk
    = ( sk__4 @ xK ) ),
    inference(simplify,[status(thm)],[zip_derived_cl962]) ).

thf(zip_derived_cl966,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

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

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) @ xk ) )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 )
        = ( sk__23 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4618]) ).

thf(zip_derived_cl963_003,plain,
    ( xk
    = ( sk__4 @ xK ) ),
    inference(simplify,[status(thm)],[zip_derived_cl962]) ).

thf(zip_derived_cl2105,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) @ ( sk__4 @ xK ) ) )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 )
        = ( sk__23 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl963]) ).

thf(zip_derived_cl2106,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sk__4 @ xK ) ) )
      | ( ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sk__4 @ xK ) )
        = slcrc0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X0 ) @ ( sk_ @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sk__4 @ xK ) ) ) )
        = ( sk__23 @ X0 ) )
      | ~ ( aSet0 @ ( sk_ @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sk__4 @ xK ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2105]) ).

thf(zip_derived_cl85259,plain,
    ( ~ ( aSet0 @ ( sk_ @ xX ) )
    | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk_ @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ) )
      = ( sk__23 @ xi ) )
    | ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) )
      = slcrc0 )
    | ~ ( aSet0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl2106]) ).

thf(zip_derived_cl6_004,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl966_005,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(zip_derived_cl501_006,plain,
    aElementOf0 @ ( sk__4 @ xK ) @ szNzAzT0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl496,zip_derived_cl156]) ).

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_cl102,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_cl1251,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ ( sk__4 @ xK ) ) )
      | ( aSubsetOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl102]) ).

thf(zip_derived_cl15182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ ( sk__4 @ xK ) ) )
      | ( aSubsetOf0 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1251]) ).

thf(zip_derived_cl16129,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xX )
      | ( aSubsetOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) )
      | ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl15182]) ).

thf(zip_derived_cl192_007,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(mSuccNum,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
        & ( ( szszuzczcdt0 @ W0 )
         != sz00 ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mSuccNum]) ).

thf(zip_derived_cl325,plain,
    aElementOf0 @ ( szszuzczcdt0 @ xi ) @ szNzAzT0,
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl46]) ).

thf(m__3671,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
        & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3671]) ).

thf(zip_derived_cl798,plain,
    aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ szNzAzT0,
    inference('sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl165]) ).

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_cl6468,plain,
    ( ~ ( aSet0 @ szNzAzT0 )
    | ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl798,zip_derived_cl14]) ).

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

thf(zip_derived_cl44,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl6497,plain,
    aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl6468,zip_derived_cl44]) ).

thf(zip_derived_cl16141,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xX )
      | ( aSubsetOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16129,zip_derived_cl6497]) ).

thf(zip_derived_cl16191,plain,
    ( ~ ( aSet0 @ xX )
    | ( xX = slcrc0 )
    | ( aSubsetOf0 @ ( sk_ @ xX ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl16141]) ).

thf(zip_derived_cl966_008,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(zip_derived_cl501_009,plain,
    aElementOf0 @ ( sk__4 @ xK ) @ szNzAzT0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl496,zip_derived_cl156]) ).

thf(zip_derived_cl100,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_cl953,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ ( sk__4 @ xK ) ) )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl100]) ).

thf(zip_derived_cl4171,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSet0 @ ( slbdtsldtrb0 @ X0 @ ( sk__4 @ xK ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl953]) ).

thf(zip_derived_cl16127,plain,
    ( ( aSet0 @ xX )
    | ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl966,zip_derived_cl4171]) ).

thf(zip_derived_cl6497_010,plain,
    aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl6468,zip_derived_cl44]) ).

thf(zip_derived_cl16139,plain,
    aSet0 @ xX,
    inference(demod,[status(thm)],[zip_derived_cl16127,zip_derived_cl6497]) ).

thf(zip_derived_cl16197,plain,
    ( ( xX = slcrc0 )
    | ( aSubsetOf0 @ ( sk_ @ xX ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16191,zip_derived_cl16139]) ).

thf(zip_derived_cl193,plain,
    xX != slcrc0,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl16198,plain,
    aSubsetOf0 @ ( sk_ @ xX ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16197,zip_derived_cl193]) ).

thf(zip_derived_cl14_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl42112,plain,
    ( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) )
    | ( aSet0 @ ( sk_ @ xX ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16198,zip_derived_cl14]) ).

thf(zip_derived_cl6497_012,plain,
    aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl6468,zip_derived_cl44]) ).

thf(zip_derived_cl42121,plain,
    aSet0 @ ( sk_ @ xX ),
    inference(demod,[status(thm)],[zip_derived_cl42112,zip_derived_cl6497]) ).

thf(zip_derived_cl966_013,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(zip_derived_cl6_014,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl966_015,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(m__4730,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ! [W1: $i] :
            ( ( ( aSet0 @ W1 )
              & ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) )
           => ( ( sdtlpdtrp0 @ xd @ W0 )
              = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) )
    & ( ( szDzozmdt0 @ xd )
      = szNzAzT0 )
    & ( aFunction0 @ xd ) ) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) @ xk ) )
      | ( ( sdtlpdtrp0 @ xd @ X1 )
        = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl963_016,plain,
    ( xk
    = ( sk__4 @ xK ) ),
    inference(simplify,[status(thm)],[zip_derived_cl962]) ).

thf(zip_derived_cl2113,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) @ ( sk__4 @ xK ) ) )
      | ( ( sdtlpdtrp0 @ xd @ X1 )
        = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl963]) ).

thf(zip_derived_cl16133,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xX )
      | ~ ( aElementOf0 @ xi @ szNzAzT0 )
      | ( ( sdtlpdtrp0 @ xd @ xi )
        = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ X0 ) )
      | ~ ( aSet0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl2113]) ).

thf(zip_derived_cl192_017,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl191,plain,
    ( ( sdtlpdtrp0 @ xd @ xi )
    = xx ),
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl16145,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xX )
      | ( xx
        = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ X0 ) )
      | ~ ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16133,zip_derived_cl192,zip_derived_cl191]) ).

thf(zip_derived_cl16204,plain,
    ( ~ ( aSet0 @ xX )
    | ( xX = slcrc0 )
    | ~ ( aSet0 @ ( sk_ @ xX ) )
    | ( xx
      = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk_ @ xX ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl16145]) ).

thf(zip_derived_cl16139_018,plain,
    aSet0 @ xX,
    inference(demod,[status(thm)],[zip_derived_cl16127,zip_derived_cl6497]) ).

thf(zip_derived_cl16210,plain,
    ( ( xX = slcrc0 )
    | ~ ( aSet0 @ ( sk_ @ xX ) )
    | ( xx
      = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk_ @ xX ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16204,zip_derived_cl16139]) ).

thf(zip_derived_cl193_019,plain,
    xX != slcrc0,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl16211,plain,
    ( ~ ( aSet0 @ ( sk_ @ xX ) )
    | ( xx
      = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk_ @ xX ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16210,zip_derived_cl193]) ).

thf(zip_derived_cl42121_020,plain,
    aSet0 @ ( sk_ @ xX ),
    inference(demod,[status(thm)],[zip_derived_cl42112,zip_derived_cl6497]) ).

thf(zip_derived_cl42126,plain,
    ( xx
    = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk_ @ xX ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16211,zip_derived_cl42121]) ).

thf(zip_derived_cl192_021,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl966_022,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(zip_derived_cl966_023,plain,
    ( xX
    = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ ( sk__4 @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl963]) ).

thf(zip_derived_cl16139_024,plain,
    aSet0 @ xX,
    inference(demod,[status(thm)],[zip_derived_cl16127,zip_derived_cl6497]) ).

thf(zip_derived_cl85296,plain,
    ( ( xx
      = ( sk__23 @ xi ) )
    | ( xX = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl85259,zip_derived_cl42121,zip_derived_cl966,zip_derived_cl42126,zip_derived_cl192,zip_derived_cl966,zip_derived_cl966,zip_derived_cl16139]) ).

thf(zip_derived_cl193_025,plain,
    xX != slcrc0,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl85297,plain,
    ( xx
    = ( sk__23 @ xi ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl85296,zip_derived_cl193]) ).

thf(m__,conjecture,
    aElementOf0 @ xx @ xT ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ xx @ xT ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl195,plain,
    ~ ( aElementOf0 @ xx @ xT ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85321,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl85297,zip_derived_cl195]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM595+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4LcTcaYT1b true
% 0.15/0.32  % Computer : n019.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Fri Aug 25 17:40:58 EDT 2023
% 0.15/0.33  % CPUTime  : 
% 0.15/0.33  % Running portfolio for 300 s
% 0.15/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.33  % Number of cores: 8
% 0.15/0.33  % Python version: Python 3.6.8
% 0.15/0.33  % Running in FO mode
% 0.17/0.56  % Total configuration time : 435
% 0.17/0.56  % Estimated wc time : 1092
% 0.17/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 181.11/26.77  % Solved by fo/fo5.sh.
% 181.11/26.77  % done 11243 iterations in 26.045s
% 181.11/26.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 181.11/26.77  % SZS output start Refutation
% See solution above
% 181.11/26.77  
% 181.11/26.77  
% 181.11/26.77  % Terminating...
% 181.76/26.88  % Runner terminated.
% 181.76/26.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------