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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM587+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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  : 600s
% DateTime : Mon Jul 18 09:34:07 EDT 2022

% Result   : Theorem 0.34s 5.51s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  15 unt;   0 def)
%            Number of atoms       :  840 ( 135 equ)
%            Maximal formula atoms :  518 (  24 avg)
%            Number of connectives : 1224 ( 419   ~; 495   |; 249   &)
%                                         (  14 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (  10 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-2 aty)
%            Number of variables   :   94 (   9 sgn  85   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__4237,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
    & aSet0(xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & sbrdtbr0(xQ) = xk
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4237) ).

fof(m__4263,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xQ)
            | X1 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xQ)
            | X1 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
    & ? [X1] :
        ( aElementOf0(X1,szDzozmdt0(xc))
        & sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4263) ).

fof(m__4151,hypothesis,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aFunction0(sdtlpdtrp0(xC,X1))
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            <=> ( aElement0(X2)
                & aElementOf0(X2,sdtlpdtrp0(xN,X1))
                & X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
          & ! [X2] :
              ( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
               => ( aSet0(X2)
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                  & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                  & sbrdtbr0(X2) = xk ) )
              & ( ( ( ( aSet0(X2)
                      & ! [X3] :
                          ( aElementOf0(X3,X2)
                         => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
                    | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                  & sbrdtbr0(X2) = xk )
               => aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
          & szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
          & ! [X2] :
              ( ( aSet0(X2)
                & ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                    & ! [X3] :
                        ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
                 => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      & ! [X3] :
                          ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                        <=> ( aElement0(X3)
                            & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                            & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
                   => ( ( ( ! [X3] :
                              ( aElementOf0(X3,X2)
                             => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                          | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                        & sbrdtbr0(X2) = xk )
                      | aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
             => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                & ! [X3] :
                    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
                & ! [X3] :
                    ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                  <=> ( aElement0(X3)
                      & ( aElementOf0(X3,X2)
                        | X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
                & sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4151) ).

fof(m__3453,hypothesis,
    ( aFunction0(xc)
    & ! [X1] :
        ( ( aElementOf0(X1,szDzozmdt0(xc))
         => ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xS) )
            & aSubsetOf0(X1,xS)
            & sbrdtbr0(X1) = xK ) )
        & ( ( ( ( aSet0(X1)
                & ! [X2] :
                    ( aElementOf0(X2,X1)
                   => aElementOf0(X2,xS) ) )
              | aSubsetOf0(X1,xS) )
            & sbrdtbr0(X1) = xK )
         => aElementOf0(X1,szDzozmdt0(xc)) ) )
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X2] :
            ( aElementOf0(X2,szDzozmdt0(xc))
            & sdtlpdtrp0(xc,X2) = X1 ) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(X1,xT) )
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__3453) ).

fof(mImgRng,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ! [X2] :
          ( aElementOf0(X2,szDzozmdt0(X1))
         => aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mImgRng) ).

fof(m__,conjecture,
    aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__4200,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4200) ).

fof(c_0_7,plain,
    ! [X1] :
      ( epred2_1(X1)
    <=> ( aFunction0(sdtlpdtrp0(xC,X1))
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          <=> ( aElement0(X2)
              & aElementOf0(X2,sdtlpdtrp0(xN,X1))
              & X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
        & ! [X2] :
            ( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
             => ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                   => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                & sbrdtbr0(X2) = xk ) )
            & ( ( ( ( aSet0(X2)
                    & ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
                  | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                & sbrdtbr0(X2) = xk )
             => aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
        & szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
        & ! [X2] :
            ( ( aSet0(X2)
              & ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                  & ! [X3] :
                      ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                     => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
               => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                    & ! [X3] :
                        ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      <=> ( aElement0(X3)
                          & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                          & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
                 => ( ( ( ! [X3] :
                            ( aElementOf0(X3,X2)
                           => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                        | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                      & sbrdtbr0(X2) = xk )
                    | aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
           => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                <=> ( aElement0(X3)
                    & ( aElementOf0(X3,X2)
                      | X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
              & sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
    introduced(definition) ).

fof(c_0_8,plain,
    ! [X1] :
      ( epred2_1(X1)
     => ( aFunction0(sdtlpdtrp0(xC,X1))
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          <=> ( aElement0(X2)
              & aElementOf0(X2,sdtlpdtrp0(xN,X1))
              & X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
        & ! [X2] :
            ( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
             => ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                   => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                & sbrdtbr0(X2) = xk ) )
            & ( ( ( ( aSet0(X2)
                    & ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
                  | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                & sbrdtbr0(X2) = xk )
             => aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
        & szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
        & ! [X2] :
            ( ( aSet0(X2)
              & ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                  & ! [X3] :
                      ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                     => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
               => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                    & ! [X3] :
                        ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      <=> ( aElement0(X3)
                          & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                          & X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
                 => ( ( ( ! [X3] :
                            ( aElementOf0(X3,X2)
                           => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                        | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                      & sbrdtbr0(X2) = xk )
                    | aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
           => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                <=> ( aElement0(X3)
                    & ( aElementOf0(X3,X2)
                      | X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
              & sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

fof(c_0_9,plain,
    ! [X4,X5,X6,X6,X7,X8,X7,X10,X11,X12,X12,X14,X15,X15] :
      ( ( aFunction0(sdtlpdtrp0(xC,X4))
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)
        | ~ epred2_1(X4) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ epred2_1(X4) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ epred2_1(X4) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ epred2_1(X4) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ epred2_1(X4) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ epred2_1(X4) )
      & ( aSet0(X7)
        | ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X8,X7)
        | aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( sbrdtbr0(X7) = xk
        | ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( aElementOf0(esk30_2(X4,X7),X7)
        | ~ aSet0(X7)
        | sbrdtbr0(X7) != xk
        | aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(esk30_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X7)
        | sbrdtbr0(X7) != xk
        | aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X7) != xk
        | aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
        | ~ epred2_1(X4) )
      & ( szDzozmdt0(sdtlpdtrp0(xC,X4)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElement0(X12)
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElement0(X12)
        | ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
        | X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | aElementOf0(esk31_2(X4,X10),X10)
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(esk31_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
        | sbrdtbr0(X10) != xk
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElement0(X15)
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( aElementOf0(X15,X10)
        | X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( ~ aElementOf0(X15,X10)
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
        | ~ aElement0(X15)
        | aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
        | ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
        | ~ aSet0(X10)
        | ~ epred2_1(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).

fof(c_0_10,hypothesis,
    ! [X2,X3,X3,X4] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X3)
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X3 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElement0(X3)
        | ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | X3 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aSet0(xQ)
      & ( ~ aElementOf0(X4,xQ)
        | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & sbrdtbr0(xQ) = xk
      & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
      & sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4237])])])])])]) ).

fof(c_0_11,hypothesis,
    ! [X2,X3,X3,X4,X5,X5] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X3)
        | ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X3,xQ)
        | X3 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X3,xQ)
        | ~ aElement0(X3)
        | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X3 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElement0(X3)
        | aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X5)
        | ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X5,xQ)
        | X5 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X5,xQ)
        | ~ aElement0(X5)
        | aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X5 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElement0(X5)
        | aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aElementOf0(esk15_0,szDzozmdt0(xc))
      & sdtlpdtrp0(xc,esk15_0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4263])])])])])])]) ).

fof(c_0_12,hypothesis,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => epred2_1(X1) ) ),
    inference(apply_def,[status(thm)],[m__4151,c_0_7]) ).

fof(c_0_13,hypothesis,
    ! [X3,X4,X3,X6,X6,X8,X9] :
      ( aFunction0(xc)
      & ( aSet0(X3)
        | ~ aElementOf0(X3,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(X4,X3)
        | aElementOf0(X4,xS)
        | ~ aElementOf0(X3,szDzozmdt0(xc)) )
      & ( aSubsetOf0(X3,xS)
        | ~ aElementOf0(X3,szDzozmdt0(xc)) )
      & ( sbrdtbr0(X3) = xK
        | ~ aElementOf0(X3,szDzozmdt0(xc)) )
      & ( aElementOf0(esk1_1(X3),X3)
        | ~ aSet0(X3)
        | sbrdtbr0(X3) != xK
        | aElementOf0(X3,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(esk1_1(X3),xS)
        | ~ aSet0(X3)
        | sbrdtbr0(X3) != xK
        | aElementOf0(X3,szDzozmdt0(xc)) )
      & ( ~ aSubsetOf0(X3,xS)
        | sbrdtbr0(X3) != xK
        | aElementOf0(X3,szDzozmdt0(xc)) )
      & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
      & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
      & ( aElementOf0(esk2_1(X6),szDzozmdt0(xc))
        | ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( sdtlpdtrp0(xc,esk2_1(X6)) = X6
        | ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X8,szDzozmdt0(xc))
        | sdtlpdtrp0(xc,X8) != X6
        | aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | aElementOf0(X9,xT) )
      & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ~ aFunction0(X3)
      | ~ aElementOf0(X4,szDzozmdt0(X3))
      | aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])])])]) ).

cnf(c_0_15,plain,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ epred2_1(X1)
    | ~ aSet0(X2)
    | sbrdtbr0(X2) != xk
    | ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,hypothesis,
    aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,hypothesis,
    sdtlpdtrp0(xc,esk15_0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,hypothesis,
    sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,hypothesis,
    sbrdtbr0(xQ) = xk,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_21,hypothesis,
    ! [X2] :
      ( aFunction0(xC)
      & szDzozmdt0(xC) = szNzAzT0
      & ( ~ aElementOf0(X2,szNzAzT0)
        | epred2_1(X2) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_22,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_23,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_24,plain,
    ( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ aElementOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,hypothesis,
    aFunction0(xc),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,hypothesis,
    ( sdtlpdtrp0(xc,esk15_0) = xx
    | ~ epred2_1(xi) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_27,hypothesis,
    ( epred2_1(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__4200]) ).

fof(c_0_29,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xc,X1),xT)
    | ~ aElementOf0(X1,szDzozmdt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_31,hypothesis,
    sdtlpdtrp0(xc,esk15_0) = xx,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_32,hypothesis,
    aElementOf0(esk15_0,szDzozmdt0(xc)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_33,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.14  % Problem  : NUM587+3 : TPTP v8.1.0. Released v4.0.0.
% 0.15/0.15  % Command  : run_ET %s %d
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Tue Jul  5 22:08:27 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.34/5.51  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.34/5.51  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.34/5.51  # Preprocessing time       : 0.026 s
% 0.34/5.51  
% 0.34/5.51  # Failure: Out of unprocessed clauses!
% 0.34/5.51  # OLD status GaveUp
% 0.34/5.51  # Parsed axioms                        : 91
% 0.34/5.51  # Removed by relevancy pruning/SinE    : 78
% 0.34/5.51  # Initial clauses                      : 120
% 0.34/5.51  # Removed in clause preprocessing      : 2
% 0.34/5.51  # Initial clauses in saturation        : 118
% 0.34/5.51  # Processed clauses                    : 159
% 0.34/5.51  # ...of these trivial                  : 1
% 0.34/5.51  # ...subsumed                          : 59
% 0.34/5.51  # ...remaining for further processing  : 99
% 0.34/5.51  # Other redundant clauses eliminated   : 0
% 0.34/5.51  # Clauses deleted for lack of memory   : 0
% 0.34/5.51  # Backward-subsumed                    : 0
% 0.34/5.51  # Backward-rewritten                   : 3
% 0.34/5.51  # Generated clauses                    : 42
% 0.34/5.51  # ...of the previous two non-trivial   : 41
% 0.34/5.51  # Contextual simplify-reflections      : 184
% 0.34/5.51  # Paramodulations                      : 40
% 0.34/5.51  # Factorizations                       : 0
% 0.34/5.51  # Equation resolutions                 : 2
% 0.34/5.51  # Current number of processed clauses  : 96
% 0.34/5.51  #    Positive orientable unit clauses  : 23
% 0.34/5.51  #    Positive unorientable unit clauses: 0
% 0.34/5.51  #    Negative unit clauses             : 1
% 0.34/5.51  #    Non-unit-clauses                  : 72
% 0.34/5.51  # Current number of unprocessed clauses: 0
% 0.34/5.51  # ...number of literals in the above   : 0
% 0.34/5.51  # Current number of archived formulas  : 0
% 0.34/5.51  # Current number of archived clauses   : 3
% 0.34/5.51  # Clause-clause subsumption calls (NU) : 2292
% 0.34/5.51  # Rec. Clause-clause subsumption calls : 507
% 0.34/5.51  # Non-unit clause-clause subsumptions  : 243
% 0.34/5.51  # Unit Clause-clause subsumption calls : 109
% 0.34/5.51  # Rewrite failures with RHS unbound    : 0
% 0.34/5.51  # BW rewrite match attempts            : 7
% 0.34/5.51  # BW rewrite match successes           : 3
% 0.34/5.51  # Condensation attempts                : 0
% 0.34/5.51  # Condensation successes               : 0
% 0.34/5.51  # Termbank termtop insertions          : 12637
% 0.34/5.51  
% 0.34/5.51  # -------------------------------------------------
% 0.34/5.51  # User time                : 0.029 s
% 0.34/5.51  # System time              : 0.006 s
% 0.34/5.51  # Total time               : 0.035 s
% 0.34/5.51  # Maximum resident set size: 3340 pages
% 0.34/5.51  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.34/5.51  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.34/5.51  # Preprocessing time       : 0.299 s
% 0.34/5.51  
% 0.34/5.51  # Proof found!
% 0.34/5.51  # SZS status Theorem
% 0.34/5.51  # SZS output start CNFRefutation
% See solution above
% 0.34/5.51  # Proof object total steps             : 35
% 0.34/5.51  # Proof object clause steps            : 17
% 0.34/5.51  # Proof object formula steps           : 18
% 0.34/5.51  # Proof object conjectures             : 4
% 0.34/5.51  # Proof object clause conjectures      : 1
% 0.34/5.51  # Proof object formula conjectures     : 3
% 0.34/5.51  # Proof object initial clauses used    : 13
% 0.34/5.51  # Proof object initial formulas used   : 7
% 0.34/5.51  # Proof object generating inferences   : 4
% 0.34/5.51  # Proof object simplifying inferences  : 12
% 0.34/5.51  # Training examples: 0 positive, 0 negative
% 0.34/5.51  # Parsed axioms                        : 91
% 0.34/5.51  # Removed by relevancy pruning/SinE    : 16
% 0.34/5.51  # Initial clauses                      : 4395
% 0.34/5.51  # Removed in clause preprocessing      : 7
% 0.34/5.51  # Initial clauses in saturation        : 4388
% 0.34/5.51  # Processed clauses                    : 4612
% 0.34/5.51  # ...of these trivial                  : 19
% 0.34/5.51  # ...subsumed                          : 172
% 0.34/5.51  # ...remaining for further processing  : 4421
% 0.34/5.51  # Other redundant clauses eliminated   : 4276
% 0.34/5.51  # Clauses deleted for lack of memory   : 0
% 0.34/5.51  # Backward-subsumed                    : 7
% 0.34/5.51  # Backward-rewritten                   : 3
% 0.34/5.51  # Generated clauses                    : 49753
% 0.34/5.51  # ...of the previous two non-trivial   : 41000
% 0.34/5.51  # Contextual simplify-reflections      : 408
% 0.34/5.51  # Paramodulations                      : 45278
% 0.34/5.51  # Factorizations                       : 0
% 0.34/5.51  # Equation resolutions                 : 4475
% 0.34/5.51  # Current number of processed clauses  : 4409
% 0.34/5.51  #    Positive orientable unit clauses  : 57
% 0.34/5.51  #    Positive unorientable unit clauses: 0
% 0.34/5.51  #    Negative unit clauses             : 15
% 0.34/5.51  #    Non-unit-clauses                  : 4337
% 0.34/5.51  # Current number of unprocessed clauses: 40406
% 0.34/5.51  # ...number of literals in the above   : 659413
% 0.34/5.51  # Current number of archived formulas  : 0
% 0.34/5.51  # Current number of archived clauses   : 10
% 0.34/5.51  # Clause-clause subsumption calls (NU) : 4419189
% 0.34/5.51  # Rec. Clause-clause subsumption calls : 51595
% 0.34/5.51  # Non-unit clause-clause subsumptions  : 571
% 0.34/5.51  # Unit Clause-clause subsumption calls : 83441
% 0.34/5.51  # Rewrite failures with RHS unbound    : 0
% 0.34/5.51  # BW rewrite match attempts            : 3
% 0.34/5.51  # BW rewrite match successes           : 2
% 0.34/5.51  # Condensation attempts                : 0
% 0.34/5.51  # Condensation successes               : 0
% 0.34/5.51  # Termbank termtop insertions          : 2952783
% 0.34/5.51  
% 0.34/5.51  # -------------------------------------------------
% 0.34/5.51  # User time                : 4.862 s
% 0.34/5.51  # System time              : 0.066 s
% 0.34/5.51  # Total time               : 4.928 s
% 0.34/5.51  # Maximum resident set size: 77120 pages
% 0.34/23.46  eprover: CPU time limit exceeded, terminating
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.51  eprover: No such file or directory
% 0.34/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.52  eprover: No such file or directory
% 0.34/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.52  eprover: No such file or directory
% 0.34/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.53  eprover: No such file or directory
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.54  eprover: No such file or directory
% 0.34/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.54  eprover: No such file or directory
%------------------------------------------------------------------------------