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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:38 PM UTC 2026

% Result   : Theorem 33.94s 4.87s
% Output   : CNFRefutation 33.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   84 (  19 unt;   0 def)
%            Number of atoms       :  699 (  84 equ)
%            Maximal formula atoms :  181 (   8 avg)
%            Number of connectives :  965 ( 350   ~; 365   |; 179   &)
%                                         (  16 <=>;  55  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   9 con; 0-3 aty)
%            Number of variables   :  148 (   0 sgn 101   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ! [X2] :
          ( ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
            & sbrdtbr0(X2) = xk
            & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
                  & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                  & aElement0(X3) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & aSet0(X2) )
         => ( ( ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
           => ( ( ! [X3] :
                    ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                  <=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
                        | aElementOf0(X3,X2) )
                      & aElement0(X3) ) )
                & aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) )
             => ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
                | ( sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
                  & ( aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
                    | ! [X3] :
                        ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                       => aElementOf0(X3,xS) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(m__3671,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X1))
        & aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
           => aElementOf0(X2,szNzAzT0) )
        & aSet0(sdtlpdtrp0(xN,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(mCardCons,axiom,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ( ~ aElementOf0(X2,X1)
           => sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).

fof(mNATSet,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

fof(m__3623,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X1))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
              | ( ! [X2] :
                    ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                   => aElementOf0(X2,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X1)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & ! [X2] :
                ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
                  & aElementOf0(X2,sdtlpdtrp0(xN,X1))
                  & aElement0(X2) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

fof(m__3533,hypothesis,
    ( szszuzczcdt0(xk) = xK
    & aElementOf0(xk,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
          & ! [X3] :
              ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
             => aElementOf0(X3,sdtlpdtrp0(xN,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

fof(mCardNum,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
      <=> isFinite0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

fof(m__3435,hypothesis,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

fof(mDefCons,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtpldt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( ( X4 = X2
                    | aElementOf0(X4,X1) )
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
              & sbrdtbr0(X2) = xk
              & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X3] :
                  ( aElementOf0(X3,X2)
                 => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                <=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
                    & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                    & aElement0(X3) ) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & aSet0(X2) )
           => ( ( ! [X3] :
                    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
                & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
             => ( ( ! [X3] :
                      ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                    <=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
                          | aElementOf0(X3,X2) )
                        & aElement0(X3) ) )
                  & aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) )
               => ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
                  | ( sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
                    & ( aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
                      | ! [X3] :
                          ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                         => aElementOf0(X3,xS) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
              & sbrdtbr0(X2) = xk
              & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X3] :
                  ( aElementOf0(X3,X2)
                 => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
              & ! [X3] :
                  ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                <=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
                    & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                    & aElement0(X3) ) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & aSet0(X2) )
           => ( ( ! [X3] :
                    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                   => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
                & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
             => ( ( ! [X3] :
                      ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                    <=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
                          | aElementOf0(X3,X2) )
                        & aElement0(X3) ) )
                  & aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) )
               => ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
                  | ( sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
                    & ( aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
                      | ! [X3] :
                          ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                         => aElementOf0(X3,xS) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_17,plain,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefDiff]) ).

fof(c_0_18,hypothesis,
    ! [X156,X157] :
      ( ( ~ aElementOf0(X156,szNzAzT0)
        | isCountable0(sdtlpdtrp0(xN,X156)) )
      & ( ~ aElementOf0(X156,szNzAzT0)
        | aSubsetOf0(sdtlpdtrp0(xN,X156),szNzAzT0) )
      & ( ~ aElementOf0(X156,szNzAzT0)
        | aElementOf0(X157,szNzAzT0)
        | ~ aElementOf0(X157,sdtlpdtrp0(xN,X156)) )
      & ( ~ aElementOf0(X156,szNzAzT0)
        | aSet0(sdtlpdtrp0(xN,X156)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])]) ).

fof(c_0_19,negated_conjecture,
    ! [X10,X11,X12,X13,X14] :
      ( ~ aElementOf0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))),slbdtsldtrb0(xS,xK))
      & ( sbrdtbr0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) != xK
        | ~ aSubsetOf0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))),xS) )
      & ( sbrdtbr0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) != xK
        | ~ aElementOf0(esk3_0,xS) )
      & ( sbrdtbr0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) != xK
        | aElementOf0(esk3_0,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) )
      & ( aElementOf0(X14,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | ~ aElement0(X14)
        | X14 != szmzizndt0(sdtlpdtrp0(xN,esk1_0)) )
      & ( aElementOf0(X14,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | ~ aElement0(X14)
        | ~ aElementOf0(X14,esk2_0) )
      & ( ~ aElementOf0(X14,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | X14 = szmzizndt0(sdtlpdtrp0(xN,esk1_0))
        | aElementOf0(X14,esk2_0) )
      & ( ~ aElementOf0(X14,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | aElement0(X14) )
      & aSet0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
      & ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),X13)
        | ~ aElementOf0(X13,sdtlpdtrp0(xN,esk1_0)) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),sdtlpdtrp0(xN,esk1_0))
      & aElementOf0(esk2_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))),xk))
      & sbrdtbr0(esk2_0) = xk
      & aSubsetOf0(esk2_0,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
      & ( aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | ~ aElementOf0(X12,esk2_0) )
      & ( aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | X11 = szmzizndt0(sdtlpdtrp0(xN,esk1_0))
        | ~ aElementOf0(X11,sdtlpdtrp0(xN,esk1_0))
        | ~ aElement0(X11) )
      & ( ~ aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | X11 != szmzizndt0(sdtlpdtrp0(xN,esk1_0)) )
      & ( ~ aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | aElementOf0(X11,sdtlpdtrp0(xN,esk1_0)) )
      & ( ~ aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
        | aElement0(X11) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
      & ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),X10)
        | ~ aElementOf0(X10,sdtlpdtrp0(xN,esk1_0)) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),sdtlpdtrp0(xN,esk1_0))
      & aSet0(esk2_0)
      & aElementOf0(esk1_0,szNzAzT0) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])]) ).

fof(c_0_20,plain,
    ! [X181,X182,X183,X184,X185,X186] :
      ( ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X186 = sdtmndt0(X181,X182)
        | ~ aSet0(X186)
        | aElementOf0(esk31_3(X181,X182,X186),X186)
        | esk31_3(X181,X182,X186) != X182 )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X186 = sdtmndt0(X181,X182)
        | ~ aSet0(X186)
        | aElementOf0(esk31_3(X181,X182,X186),X186)
        | aElementOf0(esk31_3(X181,X182,X186),X181) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X186 = sdtmndt0(X181,X182)
        | ~ aSet0(X186)
        | aElementOf0(esk31_3(X181,X182,X186),X186)
        | aElement0(esk31_3(X181,X182,X186)) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X186 = sdtmndt0(X181,X182)
        | ~ aSet0(X186)
        | esk31_3(X181,X182,X186) = X182
        | ~ aElementOf0(esk31_3(X181,X182,X186),X181)
        | ~ aElement0(esk31_3(X181,X182,X186))
        | ~ aElementOf0(esk31_3(X181,X182,X186),X186) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X183 != sdtmndt0(X181,X182)
        | aElementOf0(X185,X183)
        | X185 = X182
        | ~ aElementOf0(X185,X181)
        | ~ aElement0(X185) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X183 != sdtmndt0(X181,X182)
        | ~ aElementOf0(X184,X183)
        | X184 != X182 )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X183 != sdtmndt0(X181,X182)
        | ~ aElementOf0(X184,X183)
        | aElementOf0(X184,X181) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X183 != sdtmndt0(X181,X182)
        | ~ aElementOf0(X184,X183)
        | aElement0(X184) )
      & ( ~ aElement0(X182)
        | ~ aSet0(X181)
        | X183 != sdtmndt0(X181,X182)
        | aSet0(X183) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_17])])])])])])]) ).

fof(c_0_21,plain,
    ! [X16,X17] :
      ( aElement0(X17)
      | ~ aElementOf0(X17,X16)
      | ~ aSet0(X16) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

cnf(c_0_22,hypothesis,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),sdtlpdtrp0(xN,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    aElementOf0(esk1_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ( ~ aElementOf0(X2,X1)
           => sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
    inference(fof_simplification,[status(thm)],[mCardCons]) ).

cnf(c_0_26,plain,
    ( ~ aElement0(X2)
    | ~ aSet0(X4)
    | X3 != sdtmndt0(X4,X2)
    | ~ aElementOf0(X1,X3)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_29,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

fof(c_0_30,plain,
    ! [X119,X120] :
      ( sbrdtbr0(sdtpldt0(X119,X120)) = szszuzczcdt0(sbrdtbr0(X119))
      | aElementOf0(X120,X119)
      | ~ aElement0(X120)
      | ~ isFinite0(X119)
      | ~ aSet0(X119) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

fof(c_0_31,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X1))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
              | ( ! [X2] :
                    ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                   => aElementOf0(X2,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X1)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & ! [X2] :
                ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
                  & aElementOf0(X2,sdtlpdtrp0(xN,X1))
                  & aElement0(X2) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(fof_simplification,[status(thm)],[m__3623]) ).

cnf(c_0_32,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ aElementOf0(X1,esk2_0)
    | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,negated_conjecture,
    aElement0(szmzizndt0(sdtlpdtrp0(xN,esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_35,negated_conjecture,
    ( sbrdtbr0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) != xK
    | ~ aElementOf0(esk3_0,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_36,plain,
    ( ~ aElement0(X2)
    | ~ isFinite0(X1)
    | ~ aSet0(X1)
    | sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    sbrdtbr0(esk2_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_38,hypothesis,
    szszuzczcdt0(xk) = xK,
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_39,negated_conjecture,
    aSet0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_40,hypothesis,
    ! [X158,X159,X160] :
      ( ( ~ aElementOf0(X159,szNzAzT0)
        | ~ aElementOf0(X158,szNzAzT0)
        | ~ sdtlseqdt0(X159,X158)
        | aSubsetOf0(sdtlpdtrp0(xN,X158),sdtlpdtrp0(xN,X159)) )
      & ( ~ aElementOf0(X159,szNzAzT0)
        | ~ aElementOf0(X158,szNzAzT0)
        | ~ sdtlseqdt0(X159,X158)
        | aElementOf0(X160,sdtlpdtrp0(xN,X159))
        | ~ aElementOf0(X160,sdtlpdtrp0(xN,X158)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])]) ).

fof(c_0_41,hypothesis,
    ! [X98,X100,X101,X102,X103] :
      ( ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X98)),sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aElementOf0(X103,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | ~ aElementOf0(X103,sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aElementOf0(X102,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X102 = szmzizndt0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X102,sdtlpdtrp0(xN,X98))
        | ~ aElement0(X102) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X101 != szmzizndt0(sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElementOf0(X101,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElement0(X101) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X98)),X100)
        | ~ aElementOf0(X100,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X98),szNzAzT0)
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X98)),sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X98)),sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aElementOf0(X103,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | ~ aElementOf0(X103,sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aElementOf0(X102,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X102 = szmzizndt0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X102,sdtlpdtrp0(xN,X98))
        | ~ aElement0(X102) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X101 != szmzizndt0(sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElementOf0(X101,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElement0(X101) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X98)),X100)
        | ~ aElementOf0(X100,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(esk20_1(X98),szNzAzT0)
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X98)),sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X98)),sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aElementOf0(X103,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | ~ aElementOf0(X103,sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X98))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aElementOf0(X102,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X102 = szmzizndt0(sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X102,sdtlpdtrp0(xN,X98))
        | ~ aElement0(X102) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | X101 != szmzizndt0(sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElementOf0(X101,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | ~ aElementOf0(X101,sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98))))
        | aElement0(X101) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aSet0(sdtmndt0(sdtlpdtrp0(xN,X98),szmzizndt0(sdtlpdtrp0(xN,X98)))) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X98)),X100)
        | ~ aElementOf0(X100,sdtlpdtrp0(xN,X98)) )
      & ( ~ aElementOf0(X98,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X98))
        | ~ aSet0(sdtlpdtrp0(xN,X98))
        | aElementOf0(esk20_1(X98),sdtlpdtrp0(xN,X98))
        | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X98)),sdtlpdtrp0(xN,X98)) )
      & sdtlpdtrp0(xN,sz00) = xS
      & szDzozmdt0(xN) = szNzAzT0
      & aFunction0(xN) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_31])])])])])])]) ).

fof(c_0_42,plain,
    ! [X31] :
      ( sdtlseqdt0(sz00,X31)
      | ~ aElementOf0(X31,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).

cnf(c_0_43,plain,
    ( ~ aElement0(X4)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ aSet0(sdtlpdtrp0(xN,esk1_0))
    | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ aElementOf0(esk3_0,xS)
    | ~ isFinite0(esk2_0)
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),esk2_0) ),
    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_35,c_0_36]),c_0_37]),c_0_38]),c_0_34]),c_0_39])]) ).

fof(c_0_46,plain,
    ! [X44] :
      ( ( ~ aSet0(X44)
        | aElementOf0(sbrdtbr0(X44),szNzAzT0)
        | ~ isFinite0(X44) )
      & ( ~ aSet0(X44)
        | isFinite0(X44)
        | ~ aElementOf0(sbrdtbr0(X44),szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).

fof(c_0_47,plain,
    ! [X18,X19,X20,X21] :
      ( ( ~ aSet0(X18)
        | aSubsetOf0(X21,X18)
        | ~ aSet0(X21)
        | ~ aElementOf0(esk4_2(X18,X21),X18) )
      & ( ~ aSet0(X18)
        | aSubsetOf0(X21,X18)
        | ~ aSet0(X21)
        | aElementOf0(esk4_2(X18,X21),X21) )
      & ( ~ aSet0(X18)
        | ~ aSubsetOf0(X19,X18)
        | aElementOf0(X20,X18)
        | ~ aElementOf0(X20,X19) )
      & ( ~ aSet0(X18)
        | ~ aSubsetOf0(X19,X18)
        | aSet0(X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefSub])])])])])])]) ).

cnf(c_0_48,hypothesis,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X2,X1)
    | aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_50,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_51,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_52,hypothesis,
    ! [X88] :
      ( isCountable0(xS)
      & aSubsetOf0(xS,szNzAzT0)
      & ( aElementOf0(X88,szNzAzT0)
        | ~ aElementOf0(X88,xS) )
      & aSet0(xS) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3435])])])]) ).

cnf(c_0_53,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0))))
    | X1 != szmzizndt0(sdtlpdtrp0(xN,esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ aSet0(sdtlpdtrp0(xN,esk1_0))
    | ~ aElementOf0(esk3_0,xS)
    | ~ isFinite0(esk2_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_56,plain,
    ( ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | isFinite0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_58,plain,
    ( ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_59,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,X1),xS) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_60,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ aSet0(sdtlpdtrp0(xN,esk1_0))
    | ~ aElementOf0(X1,esk2_0)
    | aElementOf0(X1,sdtlpdtrp0(xN,esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_33]),c_0_34])]) ).

cnf(c_0_62,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_63,plain,
    ! [X104,X105,X106,X107,X108,X109] :
      ( ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X109 = sdtpldt0(X104,X105)
        | ~ aSet0(X109)
        | aElementOf0(esk21_3(X104,X105,X109),X109)
        | esk21_3(X104,X105,X109) = X105
        | aElementOf0(esk21_3(X104,X105,X109),X104) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X109 = sdtpldt0(X104,X105)
        | ~ aSet0(X109)
        | aElementOf0(esk21_3(X104,X105,X109),X109)
        | aElement0(esk21_3(X104,X105,X109)) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X109 = sdtpldt0(X104,X105)
        | ~ aSet0(X109)
        | ~ aElementOf0(esk21_3(X104,X105,X109),X109)
        | ~ aElement0(esk21_3(X104,X105,X109))
        | esk21_3(X104,X105,X109) != X105 )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X109 = sdtpldt0(X104,X105)
        | ~ aSet0(X109)
        | ~ aElementOf0(esk21_3(X104,X105,X109),X109)
        | ~ aElement0(esk21_3(X104,X105,X109))
        | ~ aElementOf0(esk21_3(X104,X105,X109),X104) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X106 != sdtpldt0(X104,X105)
        | aElementOf0(X108,X106)
        | ~ aElement0(X108)
        | X108 != X105 )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X106 != sdtpldt0(X104,X105)
        | aElementOf0(X108,X106)
        | ~ aElement0(X108)
        | ~ aElementOf0(X108,X104) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X106 != sdtpldt0(X104,X105)
        | ~ aElementOf0(X107,X106)
        | X107 = X105
        | aElementOf0(X107,X104) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X106 != sdtpldt0(X104,X105)
        | ~ aElementOf0(X107,X106)
        | aElement0(X107) )
      & ( ~ aElement0(X105)
        | ~ aSet0(X104)
        | X106 != sdtpldt0(X104,X105)
        | aSet0(X106) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefCons])])])])])])]) ).

cnf(c_0_64,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ aSet0(sdtlpdtrp0(xN,esk1_0))
    | ~ aElementOf0(esk3_0,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_37]),c_0_57]),c_0_39])]) ).

cnf(c_0_66,hypothesis,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | aElementOf0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

cnf(c_0_67,hypothesis,
    ( ~ aElementOf0(X1,esk2_0)
    | aElementOf0(X1,sdtlpdtrp0(xN,esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_24])]) ).

cnf(c_0_68,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_69,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | isCountable0(sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_70,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_71,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X4 != sdtpldt0(X2,X3)
    | ~ aElementOf0(X1,X4)
    | X1 = X3
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    ( sbrdtbr0(sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) != xK
    | aElementOf0(esk3_0,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_73,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk1_0)),esk2_0),
    inference(spm,[status(thm)],[c_0_64,c_0_33]) ).

cnf(c_0_74,hypothesis,
    ~ aElementOf0(esk3_0,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_62]),c_0_24])]) ).

cnf(c_0_75,hypothesis,
    ( ~ aElementOf0(X1,esk2_0)
    | aElementOf0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_24])]) ).

cnf(c_0_76,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_77,plain,
    ( ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtpldt0(X3,X2))
    | aElementOf0(X1,X3)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ isFinite0(esk2_0)
    | aElementOf0(esk3_0,sdtpldt0(esk2_0,szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) ),
    inference(sr,[status(thm)],[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_72,c_0_36]),c_0_37]),c_0_38]),c_0_34]),c_0_39])]),c_0_73]) ).

cnf(c_0_79,hypothesis,
    ~ aElementOf0(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),xS) ),
    inference(spm,[status(thm)],[c_0_66,c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ isFinite0(esk2_0)
    | szmzizndt0(sdtlpdtrp0(xN,esk1_0)) = esk3_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_34]),c_0_39])]),c_0_79]) ).

cnf(c_0_82,hypothesis,
    ~ isFinite0(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_24])]),c_0_74]) ).

cnf(c_0_83,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_56]),c_0_37]),c_0_57]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Sep 21 02:43:01 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.94/4.87  % Version: 3.5.1
% 33.94/4.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 33.94/4.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/4.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.94/4.87  % Starting new_bool_3 with 300s (1) cores
% 33.94/4.87  % Starting new_bool_1 with 300s (1) cores
% 33.94/4.87  % Starting sh5l with 300s (1) cores
% 33.94/4.87  % sh5l with pid 3233568 completed with status 0
% 33.94/4.87  % Result found by sh5l
% 33.94/4.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 33.94/4.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/4.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.94/4.87  % Starting new_bool_3 with 300s (1) cores
% 33.94/4.87  % Starting new_bool_1 with 300s (1) cores
% 33.94/4.87  % Starting sh5l with 300s (1) cores
% 33.94/4.87  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 33.94/4.87  % SinE strategy is gf500_gu_R04_F100_L20000
% 33.94/4.87  % Search class: FGHSF-SMLM32-MFFFFFNN
% 33.94/4.87  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 33.94/4.87  % Starting SubtermCWHack with 28s (1) cores
% 33.94/4.87  % SubtermCWHack with pid 3233571 completed with status 0
% 33.94/4.87  % Result found by SubtermCWHack
% 33.94/4.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 33.94/4.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.94/4.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.94/4.87  % Starting new_bool_3 with 300s (1) cores
% 33.94/4.87  % Starting new_bool_1 with 300s (1) cores
% 33.94/4.87  % Starting sh5l with 300s (1) cores
% 33.94/4.87  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 33.94/4.87  % SinE strategy is gf500_gu_R04_F100_L20000
% 33.94/4.87  % Search class: FGHSF-SMLM32-MFFFFFNN
% 33.94/4.87  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 33.94/4.87  % Starting SubtermCWHack with 28s (1) cores
% 33.94/4.87  % Preprocessing time       : 0.053 s
% 33.94/4.87  
% 33.94/4.87  % Proof found!
% 33.94/4.87  % SZS status Theorem
% 33.94/4.87  % SZS output start CNFRefutation
% See solution above
% 33.94/4.87  % Parsed axioms                        : 85
% 33.94/4.87  % Removed by relevancy pruning/SinE    : 2
% 33.94/4.87  % Initial clauses                      : 4201
% 33.94/4.87  % Removed in clause preprocessing      : 7
% 33.94/4.87  % Initial clauses in saturation        : 4194
% 33.94/4.87  % Processed clauses                    : 21233
% 33.94/4.87  % ...of these trivial                  : 26
% 33.94/4.87  % ...subsumed                          : 12762
% 33.94/4.87  % ...remaining for further processing  : 8445
% 33.94/4.87  % Other redundant clauses eliminated   : 634
% 33.94/4.87  % Clauses deleted for lack of memory   : 0
% 33.94/4.87  % Backward-subsumed                    : 887
% 33.94/4.87  % Backward-rewritten                   : 2519
% 33.94/4.87  % Generated clauses                    : 117871
% 33.94/4.87  % ...of the previous two non-redundant : 109041
% 33.94/4.87  % ...aggressively subsumed             : 0
% 33.94/4.87  % Contextual simplify-reflections      : 193
% 33.94/4.87  % Paramodulations                      : 117280
% 33.94/4.87  % Factorizations                       : 2
% 33.94/4.87  % NegExts                              : 0
% 33.94/4.87  % Equation resolutions                 : 636
% 33.94/4.87  % Disequality decompositions           : 0
% 33.94/4.87  % Total rewrite steps                  : 57331
% 33.94/4.87  % ...of those cached                   : 57234
% 33.94/4.87  % Propositional unsat checks           : 0
% 33.94/4.87  %    Propositional check models        : 0
% 33.94/4.87  %    Propositional check unsatisfiable : 0
% 33.94/4.87  %    Propositional clauses             : 0
% 33.94/4.87  %    Propositional clauses after purity: 0
% 33.94/4.87  %    Propositional unsat core size     : 0
% 33.94/4.87  %    Propositional preprocessing time  : 0.000
% 33.94/4.87  %    Propositional encoding time       : 0.000
% 33.94/4.87  %    Propositional solver time         : 0.000
% 33.94/4.87  %    Success case prop preproc time    : 0.000
% 33.94/4.87  %    Success case prop encoding time   : 0.000
% 33.94/4.87  %    Success case prop solver time     : 0.000
% 33.94/4.87  % Current number of processed clauses  : 4458
% 33.94/4.87  %    Positive orientable unit clauses  : 100
% 33.94/4.87  %    Positive unorientable unit clauses: 0
% 33.94/4.87  %    Negative unit clauses             : 38
% 33.94/4.87  %    Non-unit-clauses                  : 4320
% 33.94/4.87  % Current number of unprocessed clauses: 88930
% 33.94/4.87  % ...number of literals in the above   : 526152
% 33.94/4.87  % Current number of archived formulas  : 0
% 33.94/4.87  % Current number of archived clauses   : 3409
% 33.94/4.87  % Clause-clause subsumption calls (NU) : 10221442
% 33.94/4.87  % Rec. Clause-clause subsumption calls : 2020338
% 33.94/4.87  % Non-unit clause-clause subsumptions  : 11387
% 33.94/4.87  % Unit Clause-clause subsumption calls : 44816
% 33.94/4.87  % Rewrite failures with RHS unbound    : 0
% 33.94/4.87  % BW rewrite match attempts            : 46
% 33.94/4.87  % BW rewrite match successes           : 31
% 33.94/4.87  % Condensation attempts                : 0
% 33.94/4.87  % Condensation successes               : 0
% 33.94/4.87  % Termbank termtop insertions          : 2942136
% 33.94/4.87  % Search garbage collected termcells   : 27122
% 33.94/4.87  
% 33.94/4.87  % -------------------------------------------------
% 33.94/4.87  % User time                : 4.314 s
% 33.94/4.87  % System time              : 0.100 s
% 33.94/4.87  % Total time               : 4.414 s
% 33.94/4.87  % Maximum resident set size: 14984 pages
% 33.94/4.87  
% 33.94/4.87  % -------------------------------------------------
% 33.94/4.87  % User time                : 4.315 s
% 33.94/4.87  % System time              : 0.105 s
% 33.94/4.87  % Total time               : 4.421 s
% 33.94/4.87  % Maximum resident set size: 5120 pages
% 33.94/4.87  % E exiting
%------------------------------------------------------------------------------