TSTP Solution File: NUM629+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM629+1 : 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.3iMFeo4Rwl true

% Computer : n022.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 12:42:52 EDT 2023

% Result   : Theorem 94.79s 14.27s
% Output   : Refutation 94.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  121 (  34 unt;  33 typ;   0 def)
%            Number of atoms       :  214 (  32 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  701 (  82   ~;  81   |;  26   &; 493   @)
%                                         (   8 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  32 usr;  15 con; 0-3 aty)
%            Number of variables   :   73 (   0   ^;  73   !;   0   ?;  73   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xD_type,type,
    xD: $i ).

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(xQ_type,type,
    xQ: $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $o ).

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

thf(xp_type,type,
    xp: $i ).

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

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

thf(xn_type,type,
    xn: $i ).

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

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

thf(m__,conjecture,
    aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl220,plain,
    ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(m__5334,axiom,
    aSubsetOf0 @ xP @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ).

thf(zip_derived_cl218,plain,
    aSubsetOf0 @ xP @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
    inference(cnf,[status(esa)],[m__5334]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl2633,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
      | ~ ( aElementOf0 @ X0 @ xP )
      | ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl13]) ).

thf(m__5585,axiom,
    ( xD
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ).

thf(zip_derived_cl219,plain,
    ( xD
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
    inference(cnf,[status(esa)],[m__5585]) ).

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

thf(zip_derived_cl163,plain,
    ! [X0: $i] :
      ( ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
      | ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3623]) ).

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_cl3403,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) )
      | ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl163,zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i] :
      ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3671]) ).

thf(zip_derived_cl3404,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3403,zip_derived_cl166]) ).

thf(zip_derived_cl3410,plain,
    ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) @ xD )
    | ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl219,zip_derived_cl3404]) ).

thf(m__5309,axiom,
    ( ( ( sdtlpdtrp0 @ xe @ xn )
      = xp )
    & ( aElementOf0 @ xn @ szNzAzT0 )
    & ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).

thf(zip_derived_cl215,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl3419,plain,
    aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) @ xD,
    inference(demod,[status(thm)],[zip_derived_cl3410,zip_derived_cl215]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl4862,plain,
    ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
    | ~ ( aSet0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl14]) ).

thf(zip_derived_cl165_001,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3671]) ).

thf(zip_derived_cl14_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl2333,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
      | ~ ( aSet0 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,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_cl2343,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl44]) ).

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

thf(zip_derived_cl185,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X0 )
        = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4660]) ).

thf(zip_derived_cl219_003,plain,
    ( xD
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
    inference(cnf,[status(esa)],[m__5585]) ).

thf(zip_derived_cl3152,plain,
    ( ~ ( aElementOf0 @ xn @ szNzAzT0 )
    | ( xD
      = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xe @ xn ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl219]) ).

thf(zip_derived_cl215_004,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl214,plain,
    ( ( sdtlpdtrp0 @ xe @ xn )
    = xp ),
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl3153,plain,
    ( xD
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl3152,zip_derived_cl215,zip_derived_cl214]) ).

thf(mDefDiff,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W1 )
        & ( aSet0 @ W0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( W3 != W1 )
                  & ( aElementOf0 @ W3 @ W0 )
                  & ( aElement0 @ W3 ) ) )
            & ( aSet0 @ W2 ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [W3: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
    <=> ( ( aElement0 @ W3 )
        & ( aElementOf0 @ W3 @ W0 )
        & ( W3 != W1 ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aSet0 @ X2 )
      | ( X2
       != ( sdtmndt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl1725,plain,
    ! [X0: $i,X1: $i] :
      ( ( aSet0 @ ( sdtmndt0 @ X1 @ X0 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl4288,plain,
    ( ( aSet0 @ xD )
    | ~ ( aElement0 @ xp )
    | ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3153,zip_derived_cl1725]) ).

thf(m__5182,axiom,
    aElementOf0 @ xp @ xO ).

thf(zip_derived_cl209,plain,
    aElementOf0 @ xp @ xO,
    inference(cnf,[status(esa)],[m__5182]) ).

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_cl1626,plain,
    ( ( aElement0 @ xp )
    | ~ ( aSet0 @ xO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl2]) ).

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

thf(zip_derived_cl193,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1627,plain,
    aElement0 @ xp,
    inference(demod,[status(thm)],[zip_derived_cl1626,zip_derived_cl193]) ).

thf(zip_derived_cl4291,plain,
    ( ( aSet0 @ xD )
    | ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4288,zip_derived_cl1627]) ).

thf(zip_derived_cl12653,plain,
    ( ~ ( aElementOf0 @ xn @ szNzAzT0 )
    | ( aSet0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2343,zip_derived_cl4291]) ).

thf(zip_derived_cl215_005,plain,
    aElementOf0 @ xn @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5309]) ).

thf(zip_derived_cl12658,plain,
    aSet0 @ xD,
    inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl215]) ).

thf(zip_derived_cl12665,plain,
    aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl4862,zip_derived_cl12658]) ).

thf(zip_derived_cl28255,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(demod,[status(thm)],[zip_derived_cl2633,zip_derived_cl12665]) ).

thf(zip_derived_cl3419_006,plain,
    aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) @ xD,
    inference(demod,[status(thm)],[zip_derived_cl3410,zip_derived_cl215]) ).

thf(zip_derived_cl13_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl4861,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xD )
      | ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
      | ~ ( aSet0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl13]) ).

thf(zip_derived_cl12658_008,plain,
    aSet0 @ xD,
    inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl215]) ).

thf(zip_derived_cl12664,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xD )
      | ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4861,zip_derived_cl12658]) ).

thf(zip_derived_cl28258,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xP )
      | ( aElementOf0 @ X0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28255,zip_derived_cl12664]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( aSubsetOf0 @ X0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl28272,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ xD ) @ xP )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ xD )
      | ~ ( aSet0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28258,zip_derived_cl11]) ).

thf(zip_derived_cl12658_009,plain,
    aSet0 @ xD,
    inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl215]) ).

thf(zip_derived_cl28279,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sk__1 @ X0 @ xD ) @ xP )
      | ~ ( aSet0 @ X0 )
      | ( aSubsetOf0 @ X0 @ xD ) ),
    inference(demod,[status(thm)],[zip_derived_cl28272,zip_derived_cl12658]) ).

thf(zip_derived_cl36166,plain,
    ( ~ ( aSet0 @ xD )
    | ( aSubsetOf0 @ xP @ xD )
    | ~ ( aSet0 @ xP )
    | ~ ( aSet0 @ xP )
    | ( aSubsetOf0 @ xP @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl28279]) ).

thf(zip_derived_cl12658_010,plain,
    aSet0 @ xD,
    inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl215]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl207,plain,
    aSet0 @ xP,
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl207_011,plain,
    aSet0 @ xP,
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl36167,plain,
    ( ( aSubsetOf0 @ xP @ xD )
    | ( aSubsetOf0 @ xP @ xD ) ),
    inference(demod,[status(thm)],[zip_derived_cl36166,zip_derived_cl12658,zip_derived_cl207,zip_derived_cl207]) ).

thf(zip_derived_cl36168,plain,
    aSubsetOf0 @ xP @ xD,
    inference(simplify,[status(thm)],[zip_derived_cl36167]) ).

thf(m__5217,axiom,
    ( ( sbrdtbr0 @ xP )
    = xk ) ).

thf(zip_derived_cl212,plain,
    ( ( sbrdtbr0 @ xP )
    = xk ),
    inference(cnf,[status(esa)],[m__5217]) ).

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_cl103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X2 @ X0 )
      | ( ( sbrdtbr0 @ X2 )
       != X1 )
      | ( aElementOf0 @ X2 @ X3 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl2688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X1 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ xP @ X1 )
      | ( xk != X0 )
      | ( aElementOf0 @ xP @ X2 )
      | ( X2
       != ( slbdtsldtrb0 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl103]) ).

thf(zip_derived_cl32125,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xk ) )
      | ( aElementOf0 @ xP @ X0 )
      | ~ ( aSubsetOf0 @ xP @ X1 )
      | ~ ( aElementOf0 @ xk @ szNzAzT0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2688]) ).

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(zip_derived_cl32126,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xk ) )
      | ( aElementOf0 @ xP @ X0 )
      | ~ ( aSubsetOf0 @ xP @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl32125,zip_derived_cl159]) ).

thf(zip_derived_cl36174,plain,
    ! [X0: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ xD @ xk ) )
      | ( aElementOf0 @ xP @ X0 )
      | ~ ( aSet0 @ xD ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36168,zip_derived_cl32126]) ).

thf(zip_derived_cl12658_012,plain,
    aSet0 @ xD,
    inference(demod,[status(thm)],[zip_derived_cl12653,zip_derived_cl215]) ).

thf(zip_derived_cl36180,plain,
    ! [X0: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ xD @ xk ) )
      | ( aElementOf0 @ xP @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36174,zip_derived_cl12658]) ).

thf(zip_derived_cl36434,plain,
    aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ),
    inference(eq_res,[status(thm)],[zip_derived_cl36180]) ).

thf(zip_derived_cl36435,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl36434]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM629+1 : 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.3iMFeo4Rwl true
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 14:04:10 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.75  % /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
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 94.79/14.27  % Solved by fo/fo6_bce.sh.
% 94.79/14.27  % BCE start: 221
% 94.79/14.27  % BCE eliminated: 0
% 94.79/14.27  % PE start: 221
% 94.79/14.27  logic: eq
% 94.79/14.27  % PE eliminated: 1
% 94.79/14.27  % done 2760 iterations in 13.488s
% 94.79/14.27  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 94.79/14.27  % SZS output start Refutation
% See solution above
% 94.79/14.28  
% 94.79/14.28  
% 94.79/14.28  % Terminating...
% 95.34/14.42  % Runner terminated.
% 95.38/14.44  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------