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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM600+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.PpHs01GAaV true

% Computer : n015.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 04:47:35 PM UTC 2025

% Result   : Theorem 15.10s 2.76s
% Output   : Refutation 15.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   58 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  152 (  40 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  598 (  68   ~;  61   |;  18   &; 436   @)
%                                         (   4 <=>;  11  =>;   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     :   27 (  25 usr;  10 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  63   !;   3   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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

thf(sk__24_type,type,
    sk__24: $i ).

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

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

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

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

thf(sk__15_type,type,
    sk__15: $i > $i > $i > $i ).

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

thf(xe_type,type,
    xe: $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

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

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

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

thf(xO_type,type,
    xO: $i ).

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

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

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

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

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

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_cl187,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(mPttSet,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aFunction0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aSubsetOf0 @ ( sdtlbdtrb0 @ W0 @ W1 ) @ ( szDzozmdt0 @ W0 ) ) ) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aFunction0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ X0 @ X1 ) @ ( szDzozmdt0 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mPttSet]) ).

thf(zip_derived_cl2883,plain,
    ! [X0: $i] :
      ( ~ ( aFunction0 @ xd )
      | ~ ( aElement0 @ X0 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ X0 ) @ szNzAzT0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl187,zip_derived_cl124]) ).

thf(zip_derived_cl186,plain,
    aFunction0 @ xd,
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl2887,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ X0 ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2883,zip_derived_cl186]) ).

thf(m__4891,axiom,
    ( ( xO
      = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl192,plain,
    ( xO
    = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4891]) ).

thf(mDefSImg,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
         => ! [W2: $i] :
              ( ( W2
                = ( sdtlcdtrc0 @ W0 @ W1 ) )
            <=> ( ( aSet0 @ W2 )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W2 )
                  <=> ? [W4: $i] :
                        ( ( ( sdtlpdtrp0 @ W0 @ W4 )
                          = W3 )
                        & ( aElementOf0 @ W4 @ W1 ) ) ) ) ) ) ) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( X2
       != ( sdtlcdtrc0 @ X1 @ X0 ) )
      | ( ( sdtlpdtrp0 @ X1 @ ( sk__15 @ X3 @ X0 @ X1 ) )
        = X3 )
      | ~ ( aElementOf0 @ X3 @ X2 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSImg]) ).

thf(zip_derived_cl3106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ ( szDzozmdt0 @ xe ) )
      | ( X0 != xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
        = X1 )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ~ ( aFunction0 @ xe ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl127]) ).

thf(m__4660,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ( ( sdtlpdtrp0 @ xe @ W0 )
          = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
    & ( ( szDzozmdt0 @ xe )
      = szNzAzT0 )
    & ( aFunction0 @ xe ) ) ).

thf(zip_derived_cl184,plain,
    ( ( szDzozmdt0 @ xe )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl183,plain,
    aFunction0 @ xe,
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl3108,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ szNzAzT0 )
      | ( X0 != xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
        = X1 )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3106,zip_derived_cl184,zip_derived_cl183]) ).

thf(zip_derived_cl7573,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( szDzizrdt0 @ xd ) )
      | ( X0 != xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
        = X1 )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2887,zip_derived_cl3108]) ).

thf(m__4854,axiom,
    ( ( isCountable0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).

thf(zip_derived_cl191,plain,
    aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT,
    inference(cnf,[status(esa)],[m__4854]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl1538,plain,
    ( ( aElement0 @ ( szDzizrdt0 @ xd ) )
    | ~ ( aSet0 @ xT ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl2]) ).

thf(m__3291,axiom,
    ( ( isFinite0 @ xT )
    & ( aSet0 @ xT ) ) ).

thf(zip_derived_cl145,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__3291]) ).

thf(zip_derived_cl1539,plain,
    aElement0 @ ( szDzizrdt0 @ xd ),
    inference(demod,[status(thm)],[zip_derived_cl1538,zip_derived_cl145]) ).

thf(zip_derived_cl7574,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
        = X1 )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7573,zip_derived_cl1539]) ).

thf(zip_derived_cl7575,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl7574]) ).

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ xO )
     => ? [W1: $i] :
          ( ( ( sdtlpdtrp0 @ xe @ W1 )
            = W0 )
          & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
          & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xO )
       => ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
            & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl196,plain,
    aElementOf0 @ sk__24 @ xO,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2887_001,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ X0 ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2883,zip_derived_cl186]) ).

thf(zip_derived_cl192_002,plain,
    ( xO
    = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( X2
       != ( sdtlcdtrc0 @ X1 @ X0 ) )
      | ( aElementOf0 @ ( sk__15 @ X3 @ X0 @ X1 ) @ X0 )
      | ~ ( aElementOf0 @ X3 @ X2 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSImg]) ).

thf(zip_derived_cl3100,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ ( szDzozmdt0 @ xe ) )
      | ( X0 != xO )
      | ( aElementOf0 @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ~ ( aFunction0 @ xe ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl126]) ).

thf(zip_derived_cl184_003,plain,
    ( ( szDzozmdt0 @ xe )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl183_004,plain,
    aFunction0 @ xe,
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl3102,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ szNzAzT0 )
      | ( X0 != xO )
      | ( aElementOf0 @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3100,zip_derived_cl184,zip_derived_cl183]) ).

thf(zip_derived_cl8775,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ ( szDzizrdt0 @ xd ) )
      | ( X0 != xO )
      | ( aElementOf0 @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2887,zip_derived_cl3102]) ).

thf(zip_derived_cl1539_005,plain,
    aElement0 @ ( szDzizrdt0 @ xd ),
    inference(demod,[status(thm)],[zip_derived_cl1538,zip_derived_cl145]) ).

thf(zip_derived_cl8776,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != xO )
      | ( aElementOf0 @ ( sk__15 @ X1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8775,zip_derived_cl1539]) ).

thf(zip_derived_cl8777,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( aElementOf0 @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8776]) ).

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_cl119,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_cl2955,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( aElementOf0 @ X1 @ ( szDzozmdt0 @ X0 ) )
      | ~ ( aElementOf0 @ X1 @ ( sdtlbdtrb0 @ X0 @ X2 ) )
      | ~ ( aElement0 @ X2 )
      | ~ ( aFunction0 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl8809,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( aElementOf0 @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( szDzozmdt0 @ xd ) )
      | ~ ( aElement0 @ ( szDzizrdt0 @ xd ) )
      | ~ ( aFunction0 @ xd ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8777,zip_derived_cl2955]) ).

thf(zip_derived_cl187_006,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl1539_007,plain,
    aElement0 @ ( szDzizrdt0 @ xd ),
    inference(demod,[status(thm)],[zip_derived_cl1538,zip_derived_cl145]) ).

thf(zip_derived_cl186_008,plain,
    aFunction0 @ xd,
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl8812,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( aElementOf0 @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8809,zip_derived_cl187,zip_derived_cl1539,zip_derived_cl186]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X0 )
       != sk__24 )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8879,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
       != sk__24 )
      | ~ ( aElementOf0 @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8812,zip_derived_cl197]) ).

thf(zip_derived_cl8777_009,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xO )
      | ( aElementOf0 @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8776]) ).

thf(zip_derived_cl9448,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
       != sk__24 )
      | ~ ( aElementOf0 @ X0 @ xO ) ),
    inference(clc,[status(thm)],[zip_derived_cl8879,zip_derived_cl8777]) ).

thf(zip_derived_cl9455,plain,
    ( ( sdtlpdtrp0 @ xe @ ( sk__15 @ sk__24 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) @ xe ) )
   != sk__24 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl9448]) ).

thf(zip_derived_cl9458,plain,
    ( ~ ( aElementOf0 @ sk__24 @ xO )
    | ( sk__24 != sk__24 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7575,zip_derived_cl9455]) ).

thf(zip_derived_cl196_010,plain,
    aElementOf0 @ sk__24 @ xO,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9459,plain,
    sk__24 != sk__24,
    inference(demod,[status(thm)],[zip_derived_cl9458,zip_derived_cl196]) ).

thf(zip_derived_cl9460,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl9459]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM600+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PpHs01GAaV true
% 0.12/0.34  % Computer : n015.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 16:30:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/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
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.10/2.76  % Solved by fo/fo6_bce.sh.
% 15.10/2.76  % BCE start: 198
% 15.10/2.76  % BCE eliminated: 0
% 15.10/2.76  % PE start: 198
% 15.10/2.76  logic: eq
% 15.10/2.76  % PE eliminated: 1
% 15.10/2.76  % done 1501 iterations in 2.057s
% 15.10/2.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.10/2.76  % SZS output start Refutation
% See solution above
% 15.10/2.77  
% 15.10/2.77  
% 15.10/2.77  % Terminating...
% 15.47/2.85  % Runner terminated.
% 15.47/2.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------