TSTP Solution File: NUM563+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM563+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.bMkh50XdHP true

% Computer : n014.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 4.18s 1.57s
% Output   : Refutation 4.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   89 (  29 unt;  19 typ;   0 def)
%            Number of atoms       :  187 (  51 equ;   0 cnn)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  562 (  66   ~;  61   |;  34   &; 379   @)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   60 (   0   ^;  54   !;   6   ?;  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(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $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(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

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

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

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

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

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

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

thf(sk__28_type,type,
    sk__28: $i > $i > $i ).

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

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(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( X1 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ~ ( aElementOf0 @ X0 @ slcrc0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl291,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ slcrc0 @ X0 )
      | ~ ( aSet0 @ slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl226]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl230,plain,
    aSet0 @ slcrc0,
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ slcrc0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl230]) ).

thf(m__3453,axiom,
    ( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
       => ( aElementOf0 @ W0 @ xT ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
      <=> ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xc @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xc ) ) ) )
    & ( aSet0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
    & ( ( szDzozmdt0 @ xc )
      = ( slbdtsldtrb0 @ xS @ xK ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xS ) ) )
              | ( aSubsetOf0 @ W0 @ xS ) )
            & ( ( sbrdtbr0 @ W0 )
              = xK ) )
         => ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) ) )
        & ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xS ) )
            & ( aSubsetOf0 @ W0 @ xS )
            & ( ( sbrdtbr0 @ W0 )
              = xK ) ) ) )
    & ( aFunction0 @ xc ) ) ).

thf(zip_derived_cl152,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
      | ( ( sbrdtbr0 @ X0 )
       != xK )
      | ~ ( aSubsetOf0 @ X0 @ xS ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl159,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ xK ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(m__,conjecture,
    ( ( xK = sz00 )
   => ? [W0: $i] :
        ( ? [W1: $i] :
            ( ! [W2: $i] :
                ( ( ( aSet0 @ W2 )
                  & ! [W3: $i] :
                      ( ( aElementOf0 @ W3 @ W2 )
                     => ( aElementOf0 @ W3 @ W1 ) )
                  & ( aSubsetOf0 @ W2 @ W1 )
                  & ( ( sbrdtbr0 @ W2 )
                    = xK )
                  & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
               => ( ( sdtlpdtrp0 @ xc @ W2 )
                  = W0 ) )
            & ( isCountable0 @ W1 )
            & ( ( aSubsetOf0 @ W1 @ xS )
              | ( ! [W2: $i] :
                    ( ( aElementOf0 @ W2 @ W1 )
                   => ( aElementOf0 @ W2 @ xS ) )
                & ( aSet0 @ W1 ) ) ) )
        & ( aElementOf0 @ W0 @ xT ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( xK = sz00 )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ! [W2: $i] :
                  ( ( ( aSet0 @ W2 )
                    & ! [W3: $i] :
                        ( ( aElementOf0 @ W3 @ W2 )
                       => ( aElementOf0 @ W3 @ W1 ) )
                    & ( aSubsetOf0 @ W2 @ W1 )
                    & ( ( sbrdtbr0 @ W2 )
                      = xK )
                    & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
                 => ( ( sdtlpdtrp0 @ xc @ W2 )
                    = W0 ) )
              & ( isCountable0 @ W1 )
              & ( ( aSubsetOf0 @ W1 @ xS )
                | ( ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ W1 )
                     => ( aElementOf0 @ W2 @ xS ) )
                  & ( aSet0 @ W1 ) ) ) )
          & ( aElementOf0 @ W0 @ xT ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl207,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl247,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl207]) ).

thf(zip_derived_cl207_001,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ sz00 ) )
      | ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ~ ( aSubsetOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl247,zip_derived_cl207]) ).

thf(zip_derived_cl487,plain,
    ( ~ ( aSet0 @ xS )
    | ( ( sbrdtbr0 @ slcrc0 )
     != sz00 )
    | ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl485]) ).

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

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( X0 != slcrc0 )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0 != slcrc0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(zip_derived_cl287,plain,
    ( ( sbrdtbr0 @ slcrc0 )
    = sz00 ),
    inference(eq_res,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl489,plain,
    ( ( sz00 != sz00 )
    | ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl487,zip_derived_cl147,zip_derived_cl287]) ).

thf(zip_derived_cl490,plain,
    aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ),
    inference(simplify,[status(thm)],[zip_derived_cl489]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
      | ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xc ) )
      | ( ( sdtlpdtrp0 @ xc @ X1 )
       != X0 ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl247_003,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl207]) ).

thf(zip_derived_cl247_004,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl207]) ).

thf(zip_derived_cl3091,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( slbdtsldtrb0 @ xS @ sz00 ) ) )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ xS @ sz00 ) )
      | ( ( sdtlpdtrp0 @ xc @ X1 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl247,zip_derived_cl247]) ).

thf(zip_derived_cl3093,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xc @ slcrc0 )
       != X0 )
      | ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl3091]) ).

thf(zip_derived_cl3102,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ ( sdtlcdtrc0 @ xc @ ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3093]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) ),
    inference(cnf,[status(esa)],[m__3453]) ).

thf(zip_derived_cl247_005,plain,
    ( ( szDzozmdt0 @ xc )
    = ( slbdtsldtrb0 @ xS @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl207]) ).

thf(zip_derived_cl564,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl247]) ).

thf(zip_derived_cl3110,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl3102,zip_derived_cl564]) ).

thf(zip_derived_cl16_006,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSubRefl]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xS )
      | ~ ( isCountable0 @ X0 )
      | ( ( sbrdtbr0 @ ( sk__28 @ X0 @ X1 ) )
        = xK )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207_007,plain,
    xK = sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1350,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xS )
      | ~ ( isCountable0 @ X0 )
      | ( ( sbrdtbr0 @ ( sk__28 @ X0 @ X1 ) )
        = sz00 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl207]) ).

thf(zip_derived_cl1351,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xS )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ ( sk__28 @ xS @ X0 ) )
        = sz00 )
      | ~ ( isCountable0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1350]) ).

thf(zip_derived_cl147_008,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl150,plain,
    isCountable0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl1356,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ ( sk__28 @ xS @ X0 ) )
        = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1351,zip_derived_cl147,zip_derived_cl150]) ).

thf(zip_derived_cl3127,plain,
    ( ( sbrdtbr0 @ ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) )
    = sz00 ),
    inference('sup-',[status(thm)],[zip_derived_cl3110,zip_derived_cl1356]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl3161,plain,
    ( ( sz00 != sz00 )
    | ~ ( aSet0 @ ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) )
    | ( ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
      = slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3127,zip_derived_cl68]) ).

thf(zip_derived_cl3110_009,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl3102,zip_derived_cl564]) ).

thf(zip_derived_cl16_010,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSubRefl]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xS )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__28 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1010,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xS )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( aSet0 @ ( sk__28 @ xS @ X0 ) )
      | ~ ( isCountable0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl213]) ).

thf(zip_derived_cl147_011,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl150_012,plain,
    isCountable0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl1015,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( aSet0 @ ( sk__28 @ xS @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1010,zip_derived_cl147,zip_derived_cl150]) ).

thf(zip_derived_cl3126,plain,
    aSet0 @ ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3110,zip_derived_cl1015]) ).

thf(zip_derived_cl3188,plain,
    ( ( sz00 != sz00 )
    | ( ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
      = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3161,zip_derived_cl3126]) ).

thf(zip_derived_cl3189,plain,
    ( ( sk__28 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
    = slcrc0 ),
    inference(simplify,[status(thm)],[zip_derived_cl3188]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xS )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ xc @ ( sk__28 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3219,plain,
    ( ( ( sdtlpdtrp0 @ xc @ slcrc0 )
     != ( sdtlpdtrp0 @ xc @ slcrc0 ) )
    | ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT )
    | ~ ( isCountable0 @ xS )
    | ~ ( aSubsetOf0 @ xS @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3189,zip_derived_cl208]) ).

thf(zip_derived_cl3110_013,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl3102,zip_derived_cl564]) ).

thf(zip_derived_cl150_014,plain,
    isCountable0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl3224,plain,
    ( ( ( sdtlpdtrp0 @ xc @ slcrc0 )
     != ( sdtlpdtrp0 @ xc @ slcrc0 ) )
    | ~ ( aSubsetOf0 @ xS @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl3219,zip_derived_cl3110,zip_derived_cl150]) ).

thf(zip_derived_cl3225,plain,
    ~ ( aSubsetOf0 @ xS @ xS ),
    inference(simplify,[status(thm)],[zip_derived_cl3224]) ).

thf(zip_derived_cl3237,plain,
    ~ ( aSet0 @ xS ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl3225]) ).

thf(zip_derived_cl147_015,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__3435]) ).

thf(zip_derived_cl3238,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3237,zip_derived_cl147]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bMkh50XdHP true
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 13:23:03 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /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
% 0.99/0.84  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.99/0.84  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.85  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.99/0.87  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.18/1.57  % Solved by fo/fo5.sh.
% 4.18/1.57  % done 821 iterations in 0.673s
% 4.18/1.57  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.18/1.57  % SZS output start Refutation
% See solution above
% 4.18/1.57  
% 4.18/1.57  
% 4.18/1.57  % Terminating...
% 6.29/1.99  % Runner terminated.
% 6.33/2.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------