TSTP Solution File: LAT386+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT386+4 : 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.KXcGQWU6lP true

% Computer : n017.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 06:47:32 EDT 2023

% Result   : Theorem 34.44s 5.55s
% Output   : Refutation 34.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  177 (  47 unt;  44 typ;   0 def)
%            Number of atoms       :  388 (  21 equ;   0 cnn)
%            Maximal formula atoms :   37 (   2 avg)
%            Number of connectives : 1243 (  90   ~; 130   |;  73   &; 898   @)
%                                         (   1 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   70 (  70   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  36 usr;   9 con; 0-3 aty)
%            Number of variables   :  114 (   0   ^; 110   !;   4   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xP_type,type,
    xP: $i ).

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

thf(sk__17_type,type,
    sk__17: $i > $i ).

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

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

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

thf(isOn0_type,type,
    isOn0: $i > $i > $o ).

thf(cS1142_type,type,
    cS1142: $i > $i ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $i > $i > $o ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(xU_type,type,
    xU: $i ).

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

thf(cS1241_type,type,
    cS1241: $i > $i > $i > $i ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(aUpperBoundOfIn0_type,type,
    aUpperBoundOfIn0: $i > $i > $i > $o ).

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

thf(aLowerBoundOfIn0_type,type,
    aLowerBoundOfIn0: $i > $i > $i > $o ).

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

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $o ).

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

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

thf(aInfimumOfIn0_type,type,
    aInfimumOfIn0: $i > $i > $i > $o ).

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

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $i > $i > $o ).

thf(xf_type,type,
    xf: $i ).

thf(aFixedPointOf0_type,type,
    aFixedPointOf0: $i > $i > $o ).

thf(isMonotone0_type,type,
    isMonotone0: $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $i > $o ).

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

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

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(szRzazndt0_type,type,
    szRzazndt0: $i > $i ).

thf(aCompleteLattice0_type,type,
    aCompleteLattice0: $i > $o ).

thf(aSupremumOfIn0_type,type,
    aSupremumOfIn0: $i > $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(m__,conjecture,
    ( ( ( aLowerBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP @ xU )
      | ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xP )
         => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ W0 ) ) )
    & ( ( aUpperBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xT @ xU )
      | ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xT )
         => ( sdtlseqdt0 @ W0 @ ( sdtlpdtrp0 @ xf @ xp ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aLowerBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP @ xU )
        | ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xP )
           => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ W0 ) ) )
      & ( ( aUpperBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xT @ xU )
        | ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xT )
           => ( sdtlseqdt0 @ W0 @ ( sdtlpdtrp0 @ xf @ xp ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl121,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ sk__18 )
    | ~ ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1173,axiom,
    ( ( aSubsetOf0 @ xT @ xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xT )
       => ( aElementOf0 @ W0 @ xS ) )
    & ( aSet0 @ xT ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xS )
      | ~ ( aElementOf0 @ X0 @ xT ) ),
    inference(cnf,[status(esa)],[m__1173]) ).

thf(zip_derived_cl200,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl95]) ).

thf(m__1144,axiom,
    ( ( xS
      = ( cS1142 @ xf ) )
    & ! [W0: $i] :
        ( ( ( ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
              & ( ( sdtlpdtrp0 @ xf @ W0 )
                = W0 ) )
            | ( aFixedPointOf0 @ W0 @ xf ) )
         => ( aElementOf0 @ W0 @ xS ) )
        & ( ( aElementOf0 @ W0 @ xS )
         => ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
            & ( ( sdtlpdtrp0 @ xf @ W0 )
              = W0 )
            & ( aFixedPointOf0 @ W0 @ xf ) ) ) )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(cnf,[status(esa)],[m__1144]) ).

thf(m__1123,axiom,
    ( ( aSet0 @ xU )
    & ! [W0: $i] :
        ( ( ( aSubsetOf0 @ W0 @ xU )
          | ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xU ) )
            & ( aSet0 @ W0 ) ) )
       => ? [W1: $i] :
            ( ( aElementOf0 @ W1 @ xU )
            & ( aElementOf0 @ W1 @ xU )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W0 )
               => ( sdtlseqdt0 @ W1 @ W2 ) )
            & ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
            & ! [W2: $i] :
                ( ( ( aLowerBoundOfIn0 @ W2 @ W0 @ xU )
                  | ( ! [W3: $i] :
                        ( ( aElementOf0 @ W3 @ W0 )
                       => ( sdtlseqdt0 @ W2 @ W3 ) )
                    & ( aElementOf0 @ W2 @ xU ) ) )
               => ( sdtlseqdt0 @ W2 @ W1 ) )
            & ( aInfimumOfIn0 @ W1 @ W0 @ xU )
            & ? [W2: $i] :
                ( ( aElementOf0 @ W2 @ xU )
                & ( aElementOf0 @ W2 @ xU )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W0 )
                   => ( sdtlseqdt0 @ W3 @ W2 ) )
                & ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
                & ! [W3: $i] :
                    ( ( ( aUpperBoundOfIn0 @ W3 @ W0 @ xU )
                      | ( ! [W4: $i] :
                            ( ( aElementOf0 @ W4 @ W0 )
                           => ( sdtlseqdt0 @ W4 @ W3 ) )
                        & ( aElementOf0 @ W3 @ xU ) ) )
                   => ( sdtlseqdt0 @ W2 @ W3 ) )
                & ( aSupremumOfIn0 @ W2 @ W0 @ xU ) ) ) )
    & ( aCompleteLattice0 @ xU )
    & ( aFunction0 @ xf )
    & ! [W0: $i,W1: $i] :
        ( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) )
          & ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) ) )
       => ( ( sdtlseqdt0 @ W0 @ W1 )
         => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
    & ( isMonotone0 @ xf )
    & ( ( szDzozmdt0 @ xf )
      = ( szRzazndt0 @ xf ) )
    & ( ( szRzazndt0 @ xf )
      = xU )
    & ( isOn0 @ xf @ xU ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_7: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [W1: $i,W0: $i] :
      ( ( zip_tseitin_7 @ W1 @ W0 )
     => ( ? [W2: $i] : ( zip_tseitin_6 @ W2 @ W0 )
        & ( aInfimumOfIn0 @ W1 @ W0 @ xU )
        & ! [W2: $i] :
            ( ( zip_tseitin_3 @ W2 @ W0 )
           => ( sdtlseqdt0 @ W2 @ W1 ) )
        & ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
        & ! [W2: $i] :
            ( ( aElementOf0 @ W2 @ W0 )
           => ( sdtlseqdt0 @ W1 @ W2 ) )
        & ( aElementOf0 @ W1 @ xU )
        & ( aElementOf0 @ W1 @ xU ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_6: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [W2: $i,W0: $i] :
      ( ( zip_tseitin_6 @ W2 @ W0 )
     => ( ( aSupremumOfIn0 @ W2 @ W0 @ xU )
        & ! [W3: $i] :
            ( ( zip_tseitin_5 @ W3 @ W0 )
           => ( sdtlseqdt0 @ W2 @ W3 ) )
        & ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
        & ! [W3: $i] :
            ( ( aElementOf0 @ W3 @ W0 )
           => ( sdtlseqdt0 @ W3 @ W2 ) )
        & ( aElementOf0 @ W2 @ xU )
        & ( aElementOf0 @ W2 @ xU ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_5: $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [W3: $i,W0: $i] :
      ( ( ( ( aElementOf0 @ W3 @ xU )
          & ! [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W0 ) )
        | ( aUpperBoundOfIn0 @ W3 @ W0 @ xU ) )
     => ( zip_tseitin_5 @ W3 @ W0 ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(zf_stmt_8,axiom,
    ! [W4: $i,W3: $i,W0: $i] :
      ( ( ( aElementOf0 @ W4 @ W0 )
       => ( sdtlseqdt0 @ W4 @ W3 ) )
     => ( zip_tseitin_4 @ W4 @ W3 @ W0 ) ) ).

thf(zf_stmt_9,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_10,axiom,
    ! [W2: $i,W0: $i] :
      ( ( ( ( aElementOf0 @ W2 @ xU )
          & ! [W3: $i] : ( zip_tseitin_2 @ W3 @ W2 @ W0 ) )
        | ( aLowerBoundOfIn0 @ W2 @ W0 @ xU ) )
     => ( zip_tseitin_3 @ W2 @ W0 ) ) ).

thf(zf_stmt_11,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_12,axiom,
    ! [W3: $i,W2: $i,W0: $i] :
      ( ( ( aElementOf0 @ W3 @ W0 )
       => ( sdtlseqdt0 @ W2 @ W3 ) )
     => ( zip_tseitin_2 @ W3 @ W2 @ W0 ) ) ).

thf(zf_stmt_13,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_14,axiom,
    ! [W0: $i] :
      ( ( ( ( aSet0 @ W0 )
          & ! [W1: $i] : ( zip_tseitin_0 @ W1 @ W0 ) )
        | ( aSubsetOf0 @ W0 @ xU ) )
     => ( zip_tseitin_1 @ W0 ) ) ).

thf(zf_stmt_15,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_16,axiom,
    ! [W1: $i,W0: $i] :
      ( ( ( aElementOf0 @ W1 @ W0 )
       => ( aElementOf0 @ W1 @ xU ) )
     => ( zip_tseitin_0 @ W1 @ W0 ) ) ).

thf(zf_stmt_17,axiom,
    ( ( isOn0 @ xf @ xU )
    & ( ( szRzazndt0 @ xf )
      = xU )
    & ( ( szDzozmdt0 @ xf )
      = ( szRzazndt0 @ xf ) )
    & ( isMonotone0 @ xf )
    & ! [W0: $i,W1: $i] :
        ( ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
          & ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) ) )
       => ( ( sdtlseqdt0 @ W0 @ W1 )
         => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
    & ( aFunction0 @ xf )
    & ( aCompleteLattice0 @ xU )
    & ! [W0: $i] :
        ( ( zip_tseitin_1 @ W0 )
       => ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) )
    & ( aSet0 @ xU ) ) ).

thf(zip_derived_cl84,plain,
    ( ( szDzozmdt0 @ xf )
    = ( szRzazndt0 @ xf ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl85,plain,
    ( ( szRzazndt0 @ xf )
    = xU ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl122,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xU )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl122]) ).

thf(zip_derived_cl224,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xU ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl123]) ).

thf(m__1261,axiom,
    ( ( aInfimumOfIn0 @ xp @ xP @ xU )
    & ( aElementOf0 @ xp @ xU )
    & ( aLowerBoundOfIn0 @ xp @ xP @ xU )
    & ! [W0: $i] :
        ( ( ( ( aElementOf0 @ W0 @ xU )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xP )
               => ( sdtlseqdt0 @ W0 @ W1 ) ) )
          | ( aLowerBoundOfIn0 @ W0 @ xP @ xU ) )
       => ( sdtlseqdt0 @ W0 @ xp ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xP )
       => ( sdtlseqdt0 @ xp @ W0 ) ) ) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xp )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ ( sk__17 @ X0 ) @ xP ) ),
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl707,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ xp )
    | ( aElementOf0 @ ( sk__17 @ sk__19 ) @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl107]) ).

thf(zip_derived_cl117_001,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1244,axiom,
    ( ( xP
      = ( cS1241 @ xU @ xf @ xT ) )
    & ! [W0: $i] :
        ( ( ( ( aElementOf0 @ W0 @ xU )
            & ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
            & ( ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ xT )
                 => ( sdtlseqdt0 @ W1 @ W0 ) )
              | ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) )
         => ( aElementOf0 @ W0 @ xP ) )
        & ( ( aElementOf0 @ W0 @ xP )
         => ( ( aElementOf0 @ W0 @ xU )
            & ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xT )
               => ( sdtlseqdt0 @ W1 @ W0 ) )
            & ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aElementOf0 @ X1 @ xP ) ),
    inference(cnf,[status(esa)],[m__1244]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ sk__18 @ xP )
      | ( sdtlseqdt0 @ sk__19 @ X0 )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl103]) ).

thf(zip_derived_cl805,plain,
    ( ( sdtlseqdt0 @ sk__19 @ xp )
    | ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ ( sk__17 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl287]) ).

thf(zip_derived_cl808,plain,
    ( ( sdtlseqdt0 @ sk__19 @ ( sk__17 @ sk__19 ) )
    | ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ xp ) ),
    inference(simplify,[status(thm)],[zip_derived_cl805]) ).

thf(zip_derived_cl224_002,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xU ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl123]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xp )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ~ ( sdtlseqdt0 @ X0 @ ( sk__17 @ X0 ) ) ),
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl323,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ xp )
    | ~ ( sdtlseqdt0 @ sk__19 @ ( sk__17 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl108]) ).

thf(zip_derived_cl870,plain,
    ( ( sdtlseqdt0 @ sk__19 @ xp )
    | ( aElementOf0 @ sk__18 @ xP ) ),
    inference(clc,[status(thm)],[zip_derived_cl808,zip_derived_cl323]) ).

thf(zip_derived_cl200_003,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl95]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xf @ X0 )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(cnf,[status(esa)],[m__1144]) ).

thf(zip_derived_cl205,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( ( sdtlpdtrp0 @ xf @ sk__19 )
      = sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl91]) ).

thf(mDefMonot,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ( ( isMonotone0 @ W0 )
      <=> ! [W1: $i,W2: $i] :
            ( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
              & ( aElementOf0 @ W2 @ ( szDzozmdt0 @ W0 ) ) )
           => ( ( sdtlseqdt0 @ W1 @ W2 )
             => ( sdtlseqdt0 @ ( sdtlpdtrp0 @ W0 @ W1 ) @ ( sdtlpdtrp0 @ W0 @ W2 ) ) ) ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( isMonotone0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ X0 ) )
      | ~ ( aElementOf0 @ X2 @ ( szDzozmdt0 @ X0 ) )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ X0 @ X1 ) @ ( sdtlpdtrp0 @ X0 @ X2 ) )
      | ~ ( sdtlseqdt0 @ X1 @ X2 )
      | ~ ( aFunction0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefMonot]) ).

thf(zip_derived_cl564,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ sk__18 @ xP )
      | ~ ( isMonotone0 @ xf )
      | ~ ( aElementOf0 @ sk__19 @ ( szDzozmdt0 @ xf ) )
      | ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
      | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( sdtlseqdt0 @ sk__19 @ X0 )
      | ~ ( aFunction0 @ xf ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl52]) ).

thf(zip_derived_cl83,plain,
    isMonotone0 @ xf,
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl122_004,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl122_005,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl81,plain,
    aFunction0 @ xf,
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl571,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ sk__18 @ xP )
      | ~ ( aElementOf0 @ sk__19 @ xU )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( sdtlseqdt0 @ sk__19 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl83,zip_derived_cl122,zip_derived_cl122,zip_derived_cl81]) ).

thf(zip_derived_cl224_006,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( aElementOf0 @ sk__19 @ xU ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl123]) ).

thf(zip_derived_cl8495,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ sk__19 @ X0 )
      | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ sk__18 @ xP ) ),
    inference(clc,[status(thm)],[zip_derived_cl571,zip_derived_cl224]) ).

thf(zip_derived_cl8496,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) )
    | ~ ( aElementOf0 @ xp @ xU )
    | ( aElementOf0 @ sk__18 @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl870,zip_derived_cl8495]) ).

thf(zip_derived_cl111,plain,
    aElementOf0 @ xp @ xU,
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl8522,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) )
    | ( aElementOf0 @ sk__18 @ xP ) ),
    inference(demod,[status(thm)],[zip_derived_cl8496,zip_derived_cl111]) ).

thf(zip_derived_cl8523,plain,
    ( ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) )
    | ( aElementOf0 @ sk__18 @ xP ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8522]) ).

thf(zip_derived_cl118,plain,
    ( ( aElementOf0 @ sk__18 @ xP )
    | ~ ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8547,plain,
    aElementOf0 @ sk__18 @ xP,
    inference(clc,[status(thm)],[zip_derived_cl8523,zip_derived_cl118]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ X0 )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(cnf,[status(esa)],[m__1244]) ).

thf(zip_derived_cl8558,plain,
    sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18,
    inference('s_sup-',[status(thm)],[zip_derived_cl8547,zip_derived_cl102]) ).

thf(zip_derived_cl8547_007,plain,
    aElementOf0 @ sk__18 @ xP,
    inference(clc,[status(thm)],[zip_derived_cl8523,zip_derived_cl118]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xU )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(cnf,[status(esa)],[m__1244]) ).

thf(zip_derived_cl8557,plain,
    aElementOf0 @ sk__18 @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl8547,zip_derived_cl101]) ).

thf(zip_derived_cl111_008,plain,
    aElementOf0 @ xp @ xU,
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
      | ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xf ) )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( sdtlpdtrp0 @ xf @ X1 ) )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl122_009,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl122_010,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ~ ( aElementOf0 @ X1 @ xU )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( sdtlpdtrp0 @ xf @ X1 ) )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl122,zip_derived_cl122]) ).

thf(zip_derived_cl741,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( sdtlseqdt0 @ xp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl125]) ).

thf(zip_derived_cl14529,plain,
    ( ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ ( sdtlpdtrp0 @ xf @ sk__18 ) )
    | ~ ( sdtlseqdt0 @ xp @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8557,zip_derived_cl741]) ).

thf(zip_derived_cl8547_011,plain,
    aElementOf0 @ sk__18 @ xP,
    inference(clc,[status(thm)],[zip_derived_cl8523,zip_derived_cl118]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ xp @ X0 )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl8560,plain,
    sdtlseqdt0 @ xp @ sk__18,
    inference('s_sup-',[status(thm)],[zip_derived_cl8547,zip_derived_cl106]) ).

thf(zip_derived_cl14541,plain,
    sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ ( sdtlpdtrp0 @ xf @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl14529,zip_derived_cl8560]) ).

thf(mTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W2 ) )
       => ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X2 )
      | ( sdtlseqdt0 @ X0 @ X2 )
      | ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[mTrans]) ).

thf(zip_derived_cl14547,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) )
      | ~ ( aElement0 @ ( sdtlpdtrp0 @ xf @ xp ) )
      | ~ ( aElement0 @ X0 )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ X0 )
      | ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14541,zip_derived_cl12]) ).

thf(zip_derived_cl8557_012,plain,
    aElementOf0 @ sk__18 @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl8547,zip_derived_cl101]) ).

thf(zip_derived_cl122_013,plain,
    ( ( szDzozmdt0 @ xf )
    = xU ),
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(mImgSort,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
         => ( aElementOf0 @ ( sdtlpdtrp0 @ W0 @ W1 ) @ ( szRzazndt0 @ W0 ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( aElementOf0 @ ( sdtlpdtrp0 @ X1 @ X0 ) @ ( szRzazndt0 @ X1 ) )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mImgSort]) ).

thf(zip_derived_cl500,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( szRzazndt0 @ xf ) )
      | ~ ( aFunction0 @ xf ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl44]) ).

thf(zip_derived_cl85_014,plain,
    ( ( szRzazndt0 @ xf )
    = xU ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl81_015,plain,
    aFunction0 @ xf,
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ xU ) ),
    inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl85,zip_derived_cl81]) ).

thf(zip_derived_cl8629,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl8557,zip_derived_cl506]) ).

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_cl8754,plain,
    ( ( aElement0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) )
    | ~ ( aSet0 @ xU ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8629,zip_derived_cl2]) ).

thf(zip_derived_cl78,plain,
    aSet0 @ xU,
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl8774,plain,
    aElement0 @ ( sdtlpdtrp0 @ xf @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl8754,zip_derived_cl78]) ).

thf(zip_derived_cl111_016,plain,
    aElementOf0 @ xp @ xU,
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl506_017,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ xU ) ),
    inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl85,zip_derived_cl81]) ).

thf(zip_derived_cl516,plain,
    aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl506]) ).

thf(zip_derived_cl2_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl528,plain,
    ( ( aElement0 @ ( sdtlpdtrp0 @ xf @ xp ) )
    | ~ ( aSet0 @ xU ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl2]) ).

thf(zip_derived_cl78_019,plain,
    aSet0 @ xU,
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl540,plain,
    aElement0 @ ( sdtlpdtrp0 @ xf @ xp ),
    inference(demod,[status(thm)],[zip_derived_cl528,zip_derived_cl78]) ).

thf(zip_derived_cl14550,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ X0 )
      | ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14547,zip_derived_cl8774,zip_derived_cl540]) ).

thf(zip_derived_cl16036,plain,
    ( ~ ( aElement0 @ sk__18 )
    | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8558,zip_derived_cl14550]) ).

thf(zip_derived_cl8547_020,plain,
    aElementOf0 @ sk__18 @ xP,
    inference(clc,[status(thm)],[zip_derived_cl8523,zip_derived_cl118]) ).

thf(zip_derived_cl2_021,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl8548,plain,
    ( ( aElement0 @ sk__18 )
    | ~ ( aSet0 @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8547,zip_derived_cl2]) ).

thf(zip_derived_cl97,plain,
    aSet0 @ xP,
    inference(cnf,[status(esa)],[m__1244]) ).

thf(zip_derived_cl8564,plain,
    aElement0 @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl8548,zip_derived_cl97]) ).

thf(zip_derived_cl16042,plain,
    sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl16036,zip_derived_cl8564]) ).

thf(zip_derived_cl16045,plain,
    ~ ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl16042]) ).

thf(zip_derived_cl111_022,plain,
    aElementOf0 @ xp @ xU,
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl120,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ sk__18 )
    | ( aElementOf0 @ sk__19 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16042_023,plain,
    sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl16036,zip_derived_cl8564]) ).

thf(zip_derived_cl16044,plain,
    aElementOf0 @ sk__19 @ xT,
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl16042]) ).

thf(zip_derived_cl95_024,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xS )
      | ~ ( aElementOf0 @ X0 @ xT ) ),
    inference(cnf,[status(esa)],[m__1173]) ).

thf(zip_derived_cl16061,plain,
    aElementOf0 @ sk__19 @ xS,
    inference('s_sup-',[status(thm)],[zip_derived_cl16044,zip_derived_cl95]) ).

thf(zip_derived_cl123_025,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xU )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl122]) ).

thf(zip_derived_cl16159,plain,
    aElementOf0 @ sk__19 @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl16061,zip_derived_cl123]) ).

thf(zip_derived_cl125_026,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ~ ( aElementOf0 @ X1 @ xU )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( sdtlpdtrp0 @ xf @ X1 ) )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl122,zip_derived_cl122]) ).

thf(zip_derived_cl16235,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__19 ) @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( sdtlseqdt0 @ sk__19 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16159,zip_derived_cl125]) ).

thf(zip_derived_cl16061_027,plain,
    aElementOf0 @ sk__19 @ xS,
    inference('s_sup-',[status(thm)],[zip_derived_cl16044,zip_derived_cl95]) ).

thf(zip_derived_cl91_028,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xf @ X0 )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(cnf,[status(esa)],[m__1144]) ).

thf(zip_derived_cl16157,plain,
    ( ( sdtlpdtrp0 @ xf @ sk__19 )
    = sk__19 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16061,zip_derived_cl91]) ).

thf(zip_derived_cl16260,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xU )
      | ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ X0 ) )
      | ~ ( sdtlseqdt0 @ sk__19 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16235,zip_derived_cl16157]) ).

thf(zip_derived_cl22841,plain,
    ( ( sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ) )
    | ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl16260]) ).

thf(zip_derived_cl16159_029,plain,
    aElementOf0 @ sk__19 @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl16061,zip_derived_cl123]) ).

thf(zip_derived_cl107_030,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xp )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ( aElementOf0 @ ( sk__17 @ X0 ) @ xP ) ),
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl16232,plain,
    ( ( sdtlseqdt0 @ sk__19 @ xp )
    | ( aElementOf0 @ ( sk__17 @ sk__19 ) @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16159,zip_derived_cl107]) ).

thf(zip_derived_cl16044_031,plain,
    aElementOf0 @ sk__19 @ xT,
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl16042]) ).

thf(zip_derived_cl103_032,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aElementOf0 @ X1 @ xP ) ),
    inference(cnf,[status(esa)],[m__1244]) ).

thf(zip_derived_cl16062,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sk__19 @ X0 )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16044,zip_derived_cl103]) ).

thf(zip_derived_cl17648,plain,
    ( ( sdtlseqdt0 @ sk__19 @ xp )
    | ( sdtlseqdt0 @ sk__19 @ ( sk__17 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16232,zip_derived_cl16062]) ).

thf(zip_derived_cl16159_033,plain,
    aElementOf0 @ sk__19 @ xU,
    inference('s_sup-',[status(thm)],[zip_derived_cl16061,zip_derived_cl123]) ).

thf(zip_derived_cl108_034,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ xp )
      | ~ ( aElementOf0 @ X0 @ xU )
      | ~ ( sdtlseqdt0 @ X0 @ ( sk__17 @ X0 ) ) ),
    inference(cnf,[status(esa)],[m__1261]) ).

thf(zip_derived_cl16233,plain,
    ( ( sdtlseqdt0 @ sk__19 @ xp )
    | ~ ( sdtlseqdt0 @ sk__19 @ ( sk__17 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16159,zip_derived_cl108]) ).

thf(zip_derived_cl18452,plain,
    sdtlseqdt0 @ sk__19 @ xp,
    inference(clc,[status(thm)],[zip_derived_cl17648,zip_derived_cl16233]) ).

thf(zip_derived_cl22911,plain,
    sdtlseqdt0 @ sk__19 @ ( sdtlpdtrp0 @ xf @ xp ),
    inference(demod,[status(thm)],[zip_derived_cl22841,zip_derived_cl18452]) ).

thf(zip_derived_cl22930,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16045,zip_derived_cl22911]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT386+4 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KXcGQWU6lP true
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 06:53:54 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 34.44/5.55  % Solved by fo/fo13.sh.
% 34.44/5.55  % done 3505 iterations in 4.772s
% 34.44/5.55  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.44/5.55  % SZS output start Refutation
% See solution above
% 34.44/5.55  
% 34.44/5.55  
% 34.44/5.55  % Terminating...
% 35.22/5.69  % Runner terminated.
% 35.22/5.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------