TSTP Solution File: NUM579+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM579+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 21 01:14:48 EDT 2024

% Result   : Theorem 27.82s 4.09s
% Output   : CNFRefutation 27.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   77 (  24 unt;   0 def)
%            Number of atoms       :  645 (  80 equ)
%            Maximal formula atoms :  181 (   8 avg)
%            Number of connectives :  882 ( 314   ~; 343   |; 164   &)
%                                         (  14 <=>;  47  =>;   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   :  122 (   0 sgn  93   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [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) ) )
             => ( ( aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                  & ! [X3] :
                      ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                    <=> ( aElement0(X3)
                        & ( aElementOf0(X3,X2)
                          | X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) )
               => ( ( ( ! [X3] :
                          ( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
                         => aElementOf0(X3,xS) )
                      | aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS) )
                    & sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK )
                  | aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_15,hypothesis,
    ! [X212,X213] :
      ( ( aSet0(sdtlpdtrp0(xN,X212))
        | ~ aElementOf0(X212,szNzAzT0) )
      & ( ~ aElementOf0(X213,sdtlpdtrp0(xN,X212))
        | aElementOf0(X213,szNzAzT0)
        | ~ aElementOf0(X212,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X212),szNzAzT0)
        | ~ aElementOf0(X212,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X212))
        | ~ aElementOf0(X212,szNzAzT0) ) ),
    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_16,negated_conjecture,
    ! [X223,X224,X225,X226,X227] :
      ( aElementOf0(esk33_0,szNzAzT0)
      & aSet0(esk34_0)
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
      & ( ~ aElementOf0(X223,sdtlpdtrp0(xN,esk33_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X223) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
      & ( aElement0(X224)
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( aElementOf0(X224,sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( X224 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElement0(X224)
        | ~ aElementOf0(X224,sdtlpdtrp0(xN,esk33_0))
        | X224 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElementOf0(X225,esk34_0)
        | aElementOf0(X225,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & aSubsetOf0(esk34_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
      & sbrdtbr0(esk34_0) = xk
      & aElementOf0(esk34_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xk))
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
      & ( ~ aElementOf0(X226,sdtlpdtrp0(xN,esk33_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X226) )
      & aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
      & ( aElement0(X227)
        | ~ aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( aElementOf0(X227,esk34_0)
        | X227 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElementOf0(X227,esk34_0)
        | ~ aElement0(X227)
        | aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( X227 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElement0(X227)
        | aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
        | sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
      & ( ~ aElementOf0(esk35_0,xS)
        | sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
      & ( ~ aSubsetOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xS)
        | sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
      & ~ aElementOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),slbdtsldtrb0(xS,xK)) ),
    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_14])])])])])]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( ( aSet0(X1)
        & isFinite0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ( ~ aElementOf0(X2,X1)
           => sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
    inference(fof_simplification,[status(thm)],[mCardCons]) ).

fof(c_0_18,plain,
    ! [X84] :
      ( ( ~ aElementOf0(sbrdtbr0(X84),szNzAzT0)
        | isFinite0(X84)
        | ~ aSet0(X84) )
      & ( ~ isFinite0(X84)
        | aElementOf0(sbrdtbr0(X84),szNzAzT0)
        | ~ aSet0(X84) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).

fof(c_0_19,plain,
    ! [X10,X11] :
      ( ~ aSet0(X10)
      | ~ aElementOf0(X11,X10)
      | aElement0(X11) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

cnf(c_0_20,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    aElementOf0(esk33_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( ( aSet0(X35)
        | X35 != sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( aElement0(X36)
        | ~ aElementOf0(X36,X35)
        | X35 != sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( aElementOf0(X36,X33)
        | X36 = X34
        | ~ aElementOf0(X36,X35)
        | X35 != sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( ~ aElementOf0(X37,X33)
        | ~ aElement0(X37)
        | aElementOf0(X37,X35)
        | X35 != sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( X37 != X34
        | ~ aElement0(X37)
        | aElementOf0(X37,X35)
        | X35 != sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( ~ aElementOf0(esk3_3(X33,X34,X38),X33)
        | ~ aElement0(esk3_3(X33,X34,X38))
        | ~ aElementOf0(esk3_3(X33,X34,X38),X38)
        | ~ aSet0(X38)
        | X38 = sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( esk3_3(X33,X34,X38) != X34
        | ~ aElement0(esk3_3(X33,X34,X38))
        | ~ aElementOf0(esk3_3(X33,X34,X38),X38)
        | ~ aSet0(X38)
        | X38 = sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( aElement0(esk3_3(X33,X34,X38))
        | aElementOf0(esk3_3(X33,X34,X38),X38)
        | ~ aSet0(X38)
        | X38 = sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) )
      & ( aElementOf0(esk3_3(X33,X34,X38),X33)
        | esk3_3(X33,X34,X38) = X34
        | aElementOf0(esk3_3(X33,X34,X38),X38)
        | ~ aSet0(X38)
        | X38 = sdtpldt0(X33,X34)
        | ~ aSet0(X33)
        | ~ aElement0(X34) ) ),
    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])])])])])])]) ).

fof(c_0_23,plain,
    ! [X86,X87] :
      ( ~ aSet0(X86)
      | ~ isFinite0(X86)
      | ~ aElement0(X87)
      | aElementOf0(X87,X86)
      | sbrdtbr0(sdtpldt0(X86,X87)) = szszuzczcdt0(sbrdtbr0(X86)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

cnf(c_0_24,plain,
    ( isFinite0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    sbrdtbr0(esk34_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_27,negated_conjecture,
    aSet0(esk34_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    ( aElement0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    aSet0(sdtlpdtrp0(xN,esk33_0)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_31,plain,
    ( aElementOf0(X1,X2)
    | X1 = X3
    | ~ aElementOf0(X1,X4)
    | X4 != sdtpldt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,negated_conjecture,
    ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
    | sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_33,plain,
    ( aElementOf0(X2,X1)
    | sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | ~ aSet0(X1)
    | ~ isFinite0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,hypothesis,
    szszuzczcdt0(xk) = xK,
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_35,negated_conjecture,
    isFinite0(esk34_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_36,negated_conjecture,
    aElement0(szmzizndt0(sdtlpdtrp0(xN,esk33_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

fof(c_0_37,plain,
    ! [X67] :
      ( ~ aElementOf0(X67,szNzAzT0)
      | sdtlseqdt0(sz00,X67) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).

fof(c_0_38,hypothesis,
    ( aFunction0(xN)
    & szDzozmdt0(xN) = szNzAzT0
    & sdtlpdtrp0(xN,sz00) = xS
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
                & ! [X2] :
                    ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                   => aElementOf0(X2,szNzAzT0) ) )
              | aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
            & isCountable0(sdtlpdtrp0(xN,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)) ) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[m__3623]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | aElementOf0(X1,X3)
    | ~ aElementOf0(X1,sdtpldt0(X3,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X3) ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_36]),c_0_27])]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_42,hypothesis,
    ! [X214,X215,X216] :
      ( ( ~ aElementOf0(X216,sdtlpdtrp0(xN,X214))
        | aElementOf0(X216,sdtlpdtrp0(xN,X215))
        | ~ sdtlseqdt0(X215,X214)
        | ~ aElementOf0(X214,szNzAzT0)
        | ~ aElementOf0(X215,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X214),sdtlpdtrp0(xN,X215))
        | ~ sdtlseqdt0(X215,X214)
        | ~ aElementOf0(X214,szNzAzT0)
        | ~ aElementOf0(X215,szNzAzT0) ) ),
    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])])])])]) ).

cnf(c_0_43,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_44,hypothesis,
    ! [X206,X208,X209,X210,X211] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElement0(X209)
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElement0(X210)
        | ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
        | X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
        | aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElement0(X209)
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElement0(X210)
        | ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
        | X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
        | aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | ~ aElementOf0(esk31_1(X206),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X206))
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElement0(X209)
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElement0(X210)
        | ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
        | X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
        | aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X206))
        | ~ aElementOf0(X206,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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])])]) ).

cnf(c_0_45,negated_conjecture,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
    | ~ aElementOf0(X1,esk34_0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_46,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
    | aElementOf0(esk35_0,esk34_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_27])]) ).

cnf(c_0_47,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_49,plain,
    ! [X20,X21,X22,X23] :
      ( ( aSet0(X21)
        | ~ aSubsetOf0(X21,X20)
        | ~ aSet0(X20) )
      & ( ~ aElementOf0(X22,X21)
        | aElementOf0(X22,X20)
        | ~ aSubsetOf0(X21,X20)
        | ~ aSet0(X20) )
      & ( aElementOf0(esk2_2(X20,X23),X23)
        | ~ aSet0(X23)
        | aSubsetOf0(X23,X20)
        | ~ aSet0(X20) )
      & ( ~ aElementOf0(esk2_2(X20,X23),X20)
        | ~ aSet0(X23)
        | aSubsetOf0(X23,X20)
        | ~ aSet0(X20) ) ),
    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_50,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    sdtlseqdt0(sz00,esk33_0),
    inference(spm,[status(thm)],[c_0_43,c_0_21]) ).

cnf(c_0_52,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

fof(c_0_54,hypothesis,
    ! [X178] :
      ( aSet0(xS)
      & ( ~ aElementOf0(X178,xS)
        | aElementOf0(X178,szNzAzT0) )
      & aSubsetOf0(xS,szNzAzT0)
      & isCountable0(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_55,negated_conjecture,
    ( ~ aElementOf0(esk35_0,xS)
    | sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_56,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
    | aElementOf0(esk35_0,esk34_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
    | aElement0(esk35_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_48])]) ).

fof(c_0_58,plain,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aElement0(X2) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X4 != X2 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefDiff]) ).

cnf(c_0_59,plain,
    ( aElementOf0(X1,X3)
    | ~ aElementOf0(X1,X2)
    | ~ aSubsetOf0(X2,X3)
    | ~ aSet0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_60,negated_conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,esk33_0),xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]),c_0_21])]) ).

cnf(c_0_61,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( aElementOf0(esk35_0,esk34_0)
    | sbrdtbr0(sdtpldt0(esk34_0,esk35_0)) != xK
    | ~ aElementOf0(esk35_0,xS) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    aElement0(esk35_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_47]) ).

fof(c_0_64,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( ( aSet0(X42)
        | X42 != sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( aElement0(X43)
        | ~ aElementOf0(X43,X42)
        | X42 != sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( aElementOf0(X43,X40)
        | ~ aElementOf0(X43,X42)
        | X42 != sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( X43 != X41
        | ~ aElementOf0(X43,X42)
        | X42 != sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( ~ aElement0(X44)
        | ~ aElementOf0(X44,X40)
        | X44 = X41
        | aElementOf0(X44,X42)
        | X42 != sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( ~ aElementOf0(esk4_3(X40,X41,X45),X45)
        | ~ aElement0(esk4_3(X40,X41,X45))
        | ~ aElementOf0(esk4_3(X40,X41,X45),X40)
        | esk4_3(X40,X41,X45) = X41
        | ~ aSet0(X45)
        | X45 = sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( aElement0(esk4_3(X40,X41,X45))
        | aElementOf0(esk4_3(X40,X41,X45),X45)
        | ~ aSet0(X45)
        | X45 = sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( aElementOf0(esk4_3(X40,X41,X45),X40)
        | aElementOf0(esk4_3(X40,X41,X45),X45)
        | ~ aSet0(X45)
        | X45 = sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) )
      & ( esk4_3(X40,X41,X45) != X41
        | aElementOf0(esk4_3(X40,X41,X45),X45)
        | ~ aSet0(X45)
        | X45 = sdtmndt0(X40,X41)
        | ~ aSet0(X40)
        | ~ aElement0(X41) ) ),
    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_58])])])])])])]) ).

cnf(c_0_65,negated_conjecture,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_66,negated_conjecture,
    ( aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0))
    | aElementOf0(esk35_0,esk34_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_56]) ).

cnf(c_0_67,negated_conjecture,
    ( aElementOf0(esk35_0,esk34_0)
    | ~ aElementOf0(esk35_0,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_63]),c_0_27])]) ).

cnf(c_0_68,plain,
    ( aElementOf0(X1,X2)
    | ~ aElementOf0(X1,X3)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    aElementOf0(esk35_0,esk34_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_70,plain,
    ( aElementOf0(X1,X2)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    aElementOf0(esk35_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
    inference(spm,[status(thm)],[c_0_45,c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_36]),c_0_30])]) ).

cnf(c_0_73,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
    | ~ aElementOf0(esk35_0,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_36]),c_0_27])]) ).

cnf(c_0_74,negated_conjecture,
    aElementOf0(esk35_0,xS),
    inference(spm,[status(thm)],[c_0_65,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_75]),c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM579+3 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 06:07:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 27.82/4.09  # Version: 3.1.0
% 27.82/4.09  # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09  # Starting new_bool_3 with 300s (1) cores
% 27.82/4.09  # Starting new_bool_1 with 300s (1) cores
% 27.82/4.09  # Starting sh5l with 300s (1) cores
% 27.82/4.09  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 12799 completed with status 0
% 27.82/4.09  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 27.82/4.09  # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09  # No SInE strategy applied
% 27.82/4.09  # Search class: FGHSF-SMLM32-MFFFFFNN
% 27.82/4.09  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.82/4.09  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 27.82/4.09  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 27.82/4.09  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 27.82/4.09  # Starting new_bool_3 with 136s (1) cores
% 27.82/4.09  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 27.82/4.09  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 12807 completed with status 0
% 27.82/4.09  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 27.82/4.09  # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09  # No SInE strategy applied
% 27.82/4.09  # Search class: FGHSF-SMLM32-MFFFFFNN
% 27.82/4.09  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.82/4.09  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 27.82/4.09  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 27.82/4.09  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 27.82/4.09  # Preprocessing time       : 0.084 s
% 27.82/4.09  # Presaturation interreduction done
% 27.82/4.09  
% 27.82/4.09  # Proof found!
% 27.82/4.09  # SZS status Theorem
% 27.82/4.09  # SZS output start CNFRefutation
% See solution above
% 27.82/4.09  # Parsed axioms                        : 85
% 27.82/4.09  # Removed by relevancy pruning/SinE    : 0
% 27.82/4.09  # Initial clauses                      : 4210
% 27.82/4.09  # Removed in clause preprocessing      : 7
% 27.82/4.09  # Initial clauses in saturation        : 4203
% 27.82/4.09  # Processed clauses                    : 7340
% 27.82/4.09  # ...of these trivial                  : 52
% 27.82/4.09  # ...subsumed                          : 814
% 27.82/4.09  # ...remaining for further processing  : 6474
% 27.82/4.09  # Other redundant clauses eliminated   : 1942
% 27.82/4.09  # Clauses deleted for lack of memory   : 0
% 27.82/4.09  # Backward-subsumed                    : 36
% 27.82/4.09  # Backward-rewritten                   : 61
% 27.82/4.09  # Generated clauses                    : 7503
% 27.82/4.09  # ...of the previous two non-redundant : 6888
% 27.82/4.09  # ...aggressively subsumed             : 0
% 27.82/4.09  # Contextual simplify-reflections      : 70
% 27.82/4.09  # Paramodulations                      : 5746
% 27.82/4.09  # Factorizations                       : 6
% 27.82/4.09  # NegExts                              : 0
% 27.82/4.09  # Equation resolutions                 : 1945
% 27.82/4.09  # Disequality decompositions           : 0
% 27.82/4.09  # Total rewrite steps                  : 4300
% 27.82/4.09  # ...of those cached                   : 4054
% 27.82/4.09  # Propositional unsat checks           : 2
% 27.82/4.09  #    Propositional check models        : 2
% 27.82/4.09  #    Propositional check unsatisfiable : 0
% 27.82/4.09  #    Propositional clauses             : 0
% 27.82/4.09  #    Propositional clauses after purity: 0
% 27.82/4.09  #    Propositional unsat core size     : 0
% 27.82/4.09  #    Propositional preprocessing time  : 0.000
% 27.82/4.09  #    Propositional encoding time       : 0.026
% 27.82/4.09  #    Propositional solver time         : 0.001
% 27.82/4.09  #    Success case prop preproc time    : 0.000
% 27.82/4.09  #    Success case prop encoding time   : 0.000
% 27.82/4.09  #    Success case prop solver time     : 0.000
% 27.82/4.09  # Current number of processed clauses  : 1021
% 27.82/4.09  #    Positive orientable unit clauses  : 395
% 27.82/4.09  #    Positive unorientable unit clauses: 0
% 27.82/4.09  #    Negative unit clauses             : 47
% 27.82/4.09  #    Non-unit-clauses                  : 579
% 27.82/4.09  # Current number of unprocessed clauses: 7302
% 27.82/4.09  # ...number of literals in the above   : 54819
% 27.82/4.09  # Current number of archived formulas  : 0
% 27.82/4.09  # Current number of archived clauses   : 3706
% 27.82/4.09  # Clause-clause subsumption calls (NU) : 6842771
% 27.82/4.09  # Rec. Clause-clause subsumption calls : 82739
% 27.82/4.09  # Non-unit clause-clause subsumptions  : 817
% 27.82/4.09  # Unit Clause-clause subsumption calls : 24350
% 27.82/4.09  # Rewrite failures with RHS unbound    : 0
% 27.82/4.09  # BW rewrite match attempts            : 586
% 27.82/4.09  # BW rewrite match successes           : 34
% 27.82/4.09  # Condensation attempts                : 0
% 27.82/4.09  # Condensation successes               : 0
% 27.82/4.09  # Termbank termtop insertions          : 885764
% 27.82/4.09  # Search garbage collected termcells   : 27369
% 27.82/4.09  
% 27.82/4.09  # -------------------------------------------------
% 27.82/4.09  # User time                : 3.531 s
% 27.82/4.09  # System time              : 0.041 s
% 27.82/4.09  # Total time               : 3.572 s
% 27.82/4.09  # Maximum resident set size: 13400 pages
% 27.82/4.09  
% 27.82/4.09  # -------------------------------------------------
% 27.82/4.09  # User time                : 16.891 s
% 27.82/4.09  # System time              : 0.131 s
% 27.82/4.09  # Total time               : 17.022 s
% 27.82/4.09  # Maximum resident set size: 1820 pages
% 27.82/4.09  % E---3.1 exiting
% 27.82/4.09  % E exiting
%------------------------------------------------------------------------------