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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM587+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:57:56 PM UTC 2026

% Result   : Theorem 3.84s 3.52s
% Output   : CNFRefutation 3.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (  14 unt;   0 def)
%            Number of atoms       :  830 ( 134 equ)
%            Maximal formula atoms :  518 (  26 avg)
%            Number of connectives : 1213 ( 414   ~; 491   |; 249   &)
%                                         (  14 <=>;  45  =>;   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   :   87 (   0 sgn  78   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',m__4151) ).

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/benchmark/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/benchmark/theBenchmark.p',m__4263) ).

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

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/benchmark/theBenchmark.p',m__3453) ).

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

fof(c_0_6,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_7,hypothesis,
    ( aFunction0(xC)
    & szDzozmdt0(xC) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => epred2_1(X1) ) ),
    inference(apply_def,[status(thm)],[m__4151,c_0_6]) ).

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_6]) ).

fof(c_0_9,hypothesis,
    ! [X417] :
      ( aFunction0(xC)
      & szDzozmdt0(xC) = szNzAzT0
      & ( ~ aElementOf0(X417,szNzAzT0)
        | epred2_1(X417) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,plain,
    ! [X437,X438,X439,X440,X441,X442,X443,X445,X446,X447,X448,X450,X451,X452] :
      ( ( aFunction0(sdtlpdtrp0(xC,X437))
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X438,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X438)
        | ~ epred2_1(X437) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ epred2_1(X437) )
      & ( aElement0(X439)
        | ~ aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ epred2_1(X437) )
      & ( aElementOf0(X439,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ epred2_1(X437) )
      & ( X439 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ epred2_1(X437) )
      & ( ~ aElement0(X440)
        | ~ aElementOf0(X440,sdtlpdtrp0(xN,X437))
        | X440 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ epred2_1(X437) )
      & ( aSet0(X441)
        | ~ aElementOf0(X441,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X442,X441)
        | aElementOf0(X442,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X441,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( aSubsetOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X441,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( sbrdtbr0(X441) = xk
        | ~ aElementOf0(X441,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( aElementOf0(esk36_2(X437,X443),X443)
        | ~ aSet0(X443)
        | sbrdtbr0(X443) != xk
        | aElementOf0(X443,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(esk36_2(X437,X443),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X443)
        | sbrdtbr0(X443) != xk
        | aElementOf0(X443,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( ~ aSubsetOf0(X443,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X443) != xk
        | aElementOf0(X443,szDzozmdt0(sdtlpdtrp0(xC,X437)))
        | ~ epred2_1(X437) )
      & ( szDzozmdt0(sdtlpdtrp0(xC,X437)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X446,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X446)
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElement0(X447)
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(X447,sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | X447 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X447,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElement0(X448)
        | ~ aElementOf0(X448,sdtlpdtrp0(xN,X437))
        | X448 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | aElementOf0(X448,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | aElementOf0(esk37_2(X437,X445),X445)
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(esk37_2(X437,X445),sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aSubsetOf0(X445,sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))))
        | sbrdtbr0(X445) != xk
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X437)),sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X450,sdtlpdtrp0(xN,X437))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X437)),X450)
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElement0(X451)
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( aElementOf0(X451,X445)
        | X451 = szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElementOf0(X451,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( ~ aElementOf0(X452,X445)
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( X452 != szmzizndt0(sdtlpdtrp0(xN,X437))
        | ~ aElement0(X452)
        | aElementOf0(X452,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) )
      & ( sdtlpdtrp0(sdtlpdtrp0(xC,X437),X445) = sdtlpdtrp0(xc,sdtpldt0(X445,szmzizndt0(sdtlpdtrp0(xN,X437))))
        | ~ aElementOf0(X445,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X437),szmzizndt0(sdtlpdtrp0(xN,X437))),xk))
        | ~ aSet0(X445)
        | ~ epred2_1(X437) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_11,hypothesis,
    ! [X419,X420,X421] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X419,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X419) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X420)
        | ~ aElementOf0(X420,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X420,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X420,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X420 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X420,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElement0(X420)
        | ~ aElementOf0(X420,sdtlpdtrp0(xN,xi))
        | X420 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | aElementOf0(X420,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aSet0(xQ)
      & ( ~ aElementOf0(X421,xQ)
        | aElementOf0(X421,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4237])])])]) ).

fof(c_0_12,hypothesis,
    ! [X422,X423,X424,X425] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X422,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X422) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X423)
        | ~ aElementOf0(X423,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X423,xQ)
        | X423 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X423,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X423,xQ)
        | ~ aElement0(X423)
        | aElementOf0(X423,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X423 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElement0(X423)
        | aElementOf0(X423,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X424,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X424) )
      & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      & ( aElement0(X425)
        | ~ aElementOf0(X425,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( aElementOf0(X425,xQ)
        | X425 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X425,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( ~ aElementOf0(X425,xQ)
        | ~ aElement0(X425)
        | aElementOf0(X425,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & ( X425 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElement0(X425)
        | aElementOf0(X425,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
      & aElementOf0(esk34_0,szDzozmdt0(xc))
      & sdtlpdtrp0(xc,esk34_0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4263])])])])]) ).

cnf(c_0_13,hypothesis,
    ( epred2_1(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__4200]) ).

fof(c_0_15,hypothesis,
    ! [X374,X375,X376,X378,X380,X381,X382] :
      ( aFunction0(xc)
      & ( aSet0(X374)
        | ~ aElementOf0(X374,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(X375,X374)
        | aElementOf0(X375,xS)
        | ~ aElementOf0(X374,szDzozmdt0(xc)) )
      & ( aSubsetOf0(X374,xS)
        | ~ aElementOf0(X374,szDzozmdt0(xc)) )
      & ( sbrdtbr0(X374) = xK
        | ~ aElementOf0(X374,szDzozmdt0(xc)) )
      & ( aElementOf0(esk20_1(X376),X376)
        | ~ aSet0(X376)
        | sbrdtbr0(X376) != xK
        | aElementOf0(X376,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(esk20_1(X376),xS)
        | ~ aSet0(X376)
        | sbrdtbr0(X376) != xK
        | aElementOf0(X376,szDzozmdt0(xc)) )
      & ( ~ aSubsetOf0(X376,xS)
        | sbrdtbr0(X376) != xK
        | aElementOf0(X376,szDzozmdt0(xc)) )
      & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
      & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
      & ( aElementOf0(esk21_1(X378),szDzozmdt0(xc))
        | ~ aElementOf0(X378,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( sdtlpdtrp0(xc,esk21_1(X378)) = X378
        | ~ aElementOf0(X378,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X381,szDzozmdt0(xc))
        | sdtlpdtrp0(xc,X381) != X380
        | aElementOf0(X380,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X382,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | aElementOf0(X382,xT) )
      & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])]) ).

cnf(c_0_16,plain,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
    | ~ aSet0(X2)
    | ~ epred2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,hypothesis,
    sdtlpdtrp0(xc,esk34_0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,hypothesis,
    sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,hypothesis,
    epred2_1(xi),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,hypothesis,
    ( aElementOf0(X2,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | ~ aElementOf0(X1,szDzozmdt0(xc))
    | sdtlpdtrp0(xc,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,hypothesis,
    sdtlpdtrp0(xc,esk34_0) = xx,
    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_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_24,hypothesis,
    aElementOf0(esk34_0,szDzozmdt0(xc)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,hypothesis,
    ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | xx != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

fof(c_0_26,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

cnf(c_0_27,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,hypothesis,
    aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM587+3 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n022.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue May  5 00:47:21 EDT 2026
% 0.15/0.35  % CPUTime    : 
% 0.19/0.36  % start to proof: theBenchmark
% 3.84/3.52  % Version  : CSE_E---1.7
% 3.84/3.52  % Problem  : theBenchmark.p
% 3.84/3.52  % SZS status Theorem for theBenchmark.p
% 3.84/3.52  % SZS output start CNFRefutation
% See solution above
% 3.84/3.53  % Total time : 2.824s
%------------------------------------------------------------------------------