TSTP Solution File: NUM574+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM574+3 : 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.dH854kNlNd true

% Computer : n007.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 12:42:28 EDT 2023

% Result   : Theorem 1.21s 1.39s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   87 (  24 unt;  29 typ;   0 def)
%            Number of atoms       :  171 (  32 equ;   0 cnn)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  608 (  46   ~;  43   |;  39   &; 449   @)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   7 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  44   !;   2   ?;  46   :)

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

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

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

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

thf(sz00_type,type,
    sz00: $i ).

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

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_22_type,type,
    zip_tseitin_22: $i > $i > $o ).

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

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

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

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

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

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

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

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

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

thf(xj_type,type,
    xj: $i ).

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

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

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

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

thf(mSubRefl,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( aSubsetOf0 @ W0 @ W0 ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSubRefl]) ).

thf(m__,conjecture,
    ( ( sdtlseqdt0 @ xj @ xi )
   => ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
         => ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( sdtlseqdt0 @ xj @ xi )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
           => ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) )
        | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl246,plain,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(m__3786_02,axiom,
    ( ( ( sdtlseqdt0 @ xj @ xi )
      & ? [W0: $i] :
          ( ( ( szszuzczcdt0 @ W0 )
            = xi )
          & ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
   => ( ( sdtlseqdt0 @ xj @ xi )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
           => ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) )
        & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xj @ xi )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( ( szszuzczcdt0 @ X0 )
       != xi )
      | ~ ( sdtlseqdt0 @ xj @ xi ) ),
    inference(cnf,[status(esa)],[m__3786_02]) ).

thf(zip_derived_cl2136,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ X0 )
       != xi )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) )
      | ~ ( sdtlseqdt0 @ xj @ xi ) ),
    inference(simplify,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl243,plain,
    sdtlseqdt0 @ xj @ xi,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2137,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ X0 )
       != xi )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2136,zip_derived_cl243]) ).

thf(zip_derived_cl246_001,plain,
    ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2138,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( ( szszuzczcdt0 @ X0 )
       != xi ) ),
    inference(clc,[status(thm)],[zip_derived_cl2137,zip_derived_cl246]) ).

thf(zip_derived_cl2307,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ ( sk__4 @ X0 ) @ szNzAzT0 )
      | ( X0 != xi ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl2138]) ).

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_cl3339,plain,
    ! [X0: $i] :
      ( ( X0 != xi )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2307,zip_derived_cl50]) ).

thf(zip_derived_cl3340,plain,
    ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( xi = sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3339]) ).

thf(m__3786,axiom,
    ( ( aElementOf0 @ xi @ szNzAzT0 )
    & ( aElementOf0 @ xj @ szNzAzT0 ) ) ).

thf(zip_derived_cl237,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3786]) ).

thf(zip_derived_cl3341,plain,
    xi = sz00,
    inference(demod,[status(thm)],[zip_derived_cl3340,zip_derived_cl237]) ).

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_cl3345,plain,
    ~ ( aSubsetOf0 @ xS @ ( sdtlpdtrp0 @ xN @ xj ) ),
    inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl3341,zip_derived_cl231]) ).

thf(zip_derived_cl237_002,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3786]) ).

thf(zip_derived_cl238,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3786]) ).

thf(mLessASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLessASymm]) ).

thf(zip_derived_cl2376,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( xj = X0 )
      | ~ ( sdtlseqdt0 @ X0 @ xj )
      | ~ ( sdtlseqdt0 @ xj @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl59]) ).

thf(zip_derived_cl2967,plain,
    ( ( xj = xi )
    | ~ ( sdtlseqdt0 @ xi @ xj )
    | ~ ( sdtlseqdt0 @ xj @ xi ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl2376]) ).

thf(zip_derived_cl243_003,plain,
    sdtlseqdt0 @ xj @ xi,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2979,plain,
    ( ( xj = xi )
    | ~ ( sdtlseqdt0 @ xi @ xj ) ),
    inference(demod,[status(thm)],[zip_derived_cl2967,zip_derived_cl243]) ).

thf(zip_derived_cl3341_004,plain,
    xi = sz00,
    inference(demod,[status(thm)],[zip_derived_cl3340,zip_derived_cl237]) ).

thf(zip_derived_cl3341_005,plain,
    xi = sz00,
    inference(demod,[status(thm)],[zip_derived_cl3340,zip_derived_cl237]) ).

thf(mLessTotal,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
        | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[mLessTotal]) ).

thf(zip_derived_cl238_006,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3786]) ).

thf(mNoScLessZr,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNoScLessZr]) ).

thf(zip_derived_cl2108,plain,
    ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ sz00 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl54]) ).

thf(zip_derived_cl2435,plain,
    ( ( sdtlseqdt0 @ sz00 @ xj )
    | ~ ( aElementOf0 @ xj @ szNzAzT0 )
    | ~ ( aElementOf0 @ sz00 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl2108]) ).

thf(zip_derived_cl238_007,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3786]) ).

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

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

thf(zip_derived_cl2453,plain,
    sdtlseqdt0 @ sz00 @ xj,
    inference(demod,[status(thm)],[zip_derived_cl2435,zip_derived_cl238,zip_derived_cl45]) ).

thf(zip_derived_cl3368,plain,
    xj = sz00,
    inference(demod,[status(thm)],[zip_derived_cl2979,zip_derived_cl3341,zip_derived_cl3341,zip_derived_cl2453]) ).

thf(zip_derived_cl231_008,plain,
    ( ( sdtlpdtrp0 @ xN @ sz00 )
    = xS ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl3544,plain,
    ~ ( aSubsetOf0 @ xS @ xS ),
    inference(demod,[status(thm)],[zip_derived_cl3345,zip_derived_cl3368,zip_derived_cl231]) ).

thf(zip_derived_cl3545,plain,
    ~ ( aSet0 @ xS ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl3544]) ).

thf(m__3435,axiom,
    ( ( isCountable0 @ xS )
    & ( aSubsetOf0 @ xS @ szNzAzT0 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xS )
       => ( aElementOf0 @ W0 @ szNzAzT0 ) )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl147,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl3546,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3545,zip_derived_cl147]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM574+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dH854kNlNd true
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri Aug 25 11:32:10 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.84/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/1.39  % Solved by fo/fo6_bce.sh.
% 1.21/1.39  % BCE start: 247
% 1.21/1.39  % BCE eliminated: 0
% 1.21/1.39  % PE start: 247
% 1.21/1.39  logic: eq
% 1.21/1.39  % PE eliminated: 19
% 1.21/1.39  % done 411 iterations in 0.663s
% 1.21/1.39  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/1.39  % SZS output start Refutation
% See solution above
% 1.21/1.39  
% 1.21/1.39  
% 1.21/1.39  % Terminating...
% 5.84/1.44  % Runner terminated.
% 5.84/1.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------