TSTP Solution File: NUM601+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM601+3 : 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.f1cLonRfjI 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 12:42:39 EDT 2023

% Result   : Theorem 29.76s 4.97s
% Output   : Refutation 29.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   54
% Syntax   : Number of formulae    :   80 (  16 unt;  39 typ;   0 def)
%            Number of atoms       :  141 (  19 equ;   0 cnn)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  596 (  20   ~;  22   |;  47   &; 476   @)
%                                         (   6 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  43   !;   1   ?;  44   :)

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

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(xe_type,type,
    xe: $i ).

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

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

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

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

thf(zip_tseitin_21_type,type,
    zip_tseitin_21: $i > $i > $o ).

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

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

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

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(zip_tseitin_23_type,type,
    zip_tseitin_23: $i > $o ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(sk__45_type,type,
    sk__45: $i ).

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

thf(sk__43_type,type,
    sk__43: $i > $i ).

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

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

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

thf(zip_tseitin_20_type,type,
    zip_tseitin_20: $i > $o ).

thf(zip_tseitin_19_type,type,
    zip_tseitin_19: $i > $i > $o ).

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

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

thf(zip_tseitin_22_type,type,
    zip_tseitin_22: $i > $i > $o ).

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

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

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

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

thf(m__,conjecture,
    ( ( aSubsetOf0 @ xO @ xS )
    | ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xO )
       => ( aElementOf0 @ W0 @ xS ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aSubsetOf0 @ xO @ xS )
      | ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xO )
         => ( aElementOf0 @ W0 @ xS ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl438,plain,
    aElementOf0 @ sk__45 @ xO,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__4891,axiom,
    ( ( xO
      = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xO )
      <=> ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      <=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
          & ( ( sdtlpdtrp0 @ xd @ W0 )
            = ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl426,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__43 @ X0 ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X0 @ xO ) ),
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1506,plain,
    aElementOf0 @ ( sk__43 @ sk__45 ) @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
    inference('sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl426]) ).

thf(m__4854,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      <=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
          & ( ( sdtlpdtrp0 @ xd @ W0 )
            = ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xd ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4854]) ).

thf(m__4730,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ! [W1: $i] :
            ( ( ( aSet0 @ W1 )
              & ( ( ( ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ W1 )
                       => ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                    | ( aSubsetOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                  & ( ( sbrdtbr0 @ W1 )
                    = xk ) )
                | ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) ) )
           => ( ( sdtlpdtrp0 @ xd @ W0 )
              = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) )
    & ( ( szDzozmdt0 @ xd )
      = szNzAzT0 )
    & ( aFunction0 @ xd ) ) ).

thf(zip_derived_cl403,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl1728,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl403]) ).

thf(zip_derived_cl1986,plain,
    aElementOf0 @ ( sk__43 @ sk__45 ) @ szNzAzT0,
    inference('sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl1728]) ).

thf(mZeroLess,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( sdtlseqdt0 @ sz00 @ W0 ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sz00 @ X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mZeroLess]) ).

thf(zip_derived_cl2009,plain,
    sdtlseqdt0 @ sz00 @ ( sk__43 @ sk__45 ),
    inference('sup-',[status(thm)],[zip_derived_cl1986,zip_derived_cl53]) ).

thf(zip_derived_cl1986_001,plain,
    aElementOf0 @ ( sk__43 @ sk__45 ) @ szNzAzT0,
    inference('sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl1728]) ).

thf(m__4660,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
          & ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
             => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ W1 ) )
          & ( ( sdtlpdtrp0 @ xe @ W0 )
            = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
    & ( ( szDzozmdt0 @ xe )
      = szNzAzT0 )
    & ( aFunction0 @ xe ) ) ).

thf(zip_derived_cl399,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ X0 ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl2029,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xe @ ( sk__43 @ sk__45 ) ) @ ( sdtlpdtrp0 @ xN @ ( sk__43 @ sk__45 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1986,zip_derived_cl399]) ).

thf(zip_derived_cl438_002,plain,
    aElementOf0 @ sk__45 @ xO,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ ( sk__43 @ X0 ) )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ xO ) ),
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1023,plain,
    ( ( sdtlpdtrp0 @ xe @ ( sk__43 @ sk__45 ) )
    = sk__45 ),
    inference('sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl425]) ).

thf(zip_derived_cl2040,plain,
    aElementOf0 @ sk__45 @ ( sdtlpdtrp0 @ xN @ ( sk__43 @ sk__45 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2029,zip_derived_cl1023]) ).

thf(m__3754,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W1 @ W0 )
       => ( ! [W2: $i] :
              ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
             => ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
          & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).

thf(zip_derived_cl237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X1 ) )
      | ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[m__3754]) ).

thf(zip_derived_cl9400,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ ( sk__43 @ sk__45 ) )
      | ( aElementOf0 @ sk__45 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ ( sk__43 @ sk__45 ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2040,zip_derived_cl237]) ).

thf(zip_derived_cl1986_003,plain,
    aElementOf0 @ ( sk__43 @ sk__45 ) @ szNzAzT0,
    inference('sup-',[status(thm)],[zip_derived_cl1506,zip_derived_cl1728]) ).

thf(zip_derived_cl9405,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ ( sk__43 @ sk__45 ) )
      | ( aElementOf0 @ sk__45 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9400,zip_derived_cl1986]) ).

thf(zip_derived_cl25465,plain,
    ( ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
    | ( aElementOf0 @ sk__45 @ ( sdtlpdtrp0 @ xN @ sz00 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2009,zip_derived_cl9405]) ).

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

thf(zip_derived_cl45,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(m__3623,axiom,
    ( ( aFunction0 @ xN )
    & ( ( szDzozmdt0 @ xN )
      = szNzAzT0 )
    & ( ( sdtlpdtrp0 @ xN @ sz00 )
      = xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
            & ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
              | ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                   => ( aElementOf0 @ W1 @ szNzAzT0 ) )
                & ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
         => ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
            & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
               => ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
            & ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
              <=> ( ( W1
                   != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
                  & ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                  & ( aElement0 @ W1 ) ) )
            & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
               => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
            & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_23: $i > $o ).

thf(zf_stmt_2,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_23 @ W0 )
     => ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
           => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
        & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
        & ! [W1: $i] : ( zip_tseitin_22 @ W1 @ W0 )
        & ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
           => ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
        & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
        & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_22: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [W1: $i,W0: $i] :
      ( ( zip_tseitin_22 @ W1 @ W0 )
     => ( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
      <=> ( zip_tseitin_21 @ W1 @ W0 ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_21: $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [W1: $i,W0: $i] :
      ( ( zip_tseitin_21 @ W1 @ W0 )
    <=> ( ( aElement0 @ W1 )
        & ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
        & ( W1
         != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_20: $i > $o ).

thf(zf_stmt_8,axiom,
    ! [W0: $i] :
      ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
          & ! [W1: $i] : ( zip_tseitin_19 @ W1 @ W0 ) )
        | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
     => ( zip_tseitin_20 @ W0 ) ) ).

thf(zf_stmt_9,type,
    zip_tseitin_19: $i > $i > $o ).

thf(zf_stmt_10,axiom,
    ! [W1: $i,W0: $i] :
      ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
       => ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( zip_tseitin_19 @ W1 @ W0 ) ) ).

thf(zf_stmt_11,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ( ( ( zip_tseitin_20 @ W0 )
            & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
         => ( zip_tseitin_23 @ W0 ) ) )
    & ( ( sdtlpdtrp0 @ xN @ sz00 )
      = xS )
    & ( ( szDzozmdt0 @ xN )
      = szNzAzT0 )
    & ( aFunction0 @ xN ) ) ).

thf(zip_derived_cl231,plain,
    ( ( sdtlpdtrp0 @ xN @ sz00 )
    = xS ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl437,plain,
    ~ ( aElementOf0 @ sk__45 @ xS ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25470,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25465,zip_derived_cl45,zip_derived_cl231,zip_derived_cl437]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM601+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f1cLonRfjI true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 08:05:40 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 29.76/4.97  % Solved by fo/fo5.sh.
% 29.76/4.97  % done 5063 iterations in 4.175s
% 29.76/4.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.76/4.97  % SZS output start Refutation
% See solution above
% 29.76/4.97  
% 29.76/4.97  
% 29.76/4.97  % Terminating...
% 31.17/5.09  % Runner terminated.
% 31.17/5.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------