TSTP Solution File: NUM579+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM579+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 09:34:01 EDT 2022

% Result   : Theorem 0.27s 8.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   58 (  16 unt;   0 def)
%            Number of atoms       :  441 (  40 equ)
%            Maximal formula atoms :  181 (   7 avg)
%            Number of connectives :  605 ( 222   ~; 231   |; 113   &)
%                                         (   6 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-2 aty)
%            Number of variables   :   77 (   3 sgn  55   !;   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/solver/bin/../tmp/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/solver/bin/../tmp/theBenchmark.p',m__3671) ).

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

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/solver/bin/../tmp/theBenchmark.p',mCardCons) ).

fof(mNATSet,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).

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/solver/bin/../tmp/theBenchmark.p',m__3623) ).

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

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

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/solver/bin/../tmp/theBenchmark.p',m__3754) ).

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

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

fof(c_0_11,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(assume_negation,[status(cth)],[m__]) ).

fof(c_0_12,hypothesis,
    ! [X3,X4] :
      ( ( aSet0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])])]) ).

fof(c_0_13,negated_conjecture,
    ! [X6,X7,X7,X8,X9,X10,X10] :
      ( aElementOf0(esk33_0,szNzAzT0)
      & aSet0(esk34_0)
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
      & ( ~ aElementOf0(X6,sdtlpdtrp0(xN,esk33_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X6) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
      & ( aElement0(X7)
        | ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( aElementOf0(X7,sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( X7 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElement0(X7)
        | ~ aElementOf0(X7,sdtlpdtrp0(xN,esk33_0))
        | X7 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElementOf0(X8,esk34_0)
        | aElementOf0(X8,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(X9,sdtlpdtrp0(xN,esk33_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X9) )
      & aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
      & ( aElement0(X10)
        | ~ aElementOf0(X10,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( aElementOf0(X10,esk34_0)
        | X10 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElementOf0(X10,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( ~ aElementOf0(X10,esk34_0)
        | ~ aElement0(X10)
        | aElementOf0(X10,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
      & ( X10 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
        | ~ aElement0(X10)
        | aElementOf0(X10,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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ~ aSet0(X3)
      | ~ aElementOf0(X4,X3)
      | aElement0(X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).

cnf(c_0_15,hypothesis,
    ( aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    aElementOf0(esk33_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
    | X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,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_13]) ).

fof(c_0_20,plain,
    ! [X3,X4] :
      ( ~ aSet0(X3)
      | ~ isFinite0(X3)
      | ~ aElement0(X4)
      | aElementOf0(X4,X3)
      | sbrdtbr0(sdtpldt0(X3,X4)) = szszuzczcdt0(sbrdtbr0(X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mCardCons])])])])])]) ).

cnf(c_0_21,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_23,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
    | ~ aElementOf0(X1,esk34_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_25,hypothesis,
    ! [X3,X5,X6,X6,X7] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])])])]) ).

cnf(c_0_26,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_13]) ).

cnf(c_0_27,plain,
    ( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
    | aElementOf0(X2,X1)
    | ~ aElement0(X2)
    | ~ isFinite0(X1)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    sbrdtbr0(esk34_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,hypothesis,
    szszuzczcdt0(xk) = xK,
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_30,negated_conjecture,
    aSet0(esk34_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_31,negated_conjecture,
    aElement0(szmzizndt0(sdtlpdtrp0(xN,esk33_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_32,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_33,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_35,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    ( X1 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
    | aElementOf0(X1,esk34_0)
    | ~ aElementOf0(X1,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_37,negated_conjecture,
    ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
    | ~ isFinite0(esk34_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31])]),c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( aElementOf0(X1,sdtlpdtrp0(xN,esk33_0))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_39,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    ( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
    | aElementOf0(esk35_0,esk34_0)
    | ~ isFinite0(esk34_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( aElementOf0(X1,sdtlpdtrp0(xN,esk33_0))
    | ~ aElementOf0(X1,esk34_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_19]) ).

fof(c_0_42,plain,
    ! [X2] :
      ( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
        | isFinite0(X2)
        | ~ aSet0(X2) )
      & ( ~ isFinite0(X2)
        | aElementOf0(sbrdtbr0(X2),szNzAzT0)
        | ~ aSet0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).

fof(c_0_43,hypothesis,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
        | aElementOf0(X6,sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])])]) ).

cnf(c_0_44,hypothesis,
    ( aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0))
    | ~ isFinite0(esk34_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_17])]),c_0_41]) ).

cnf(c_0_45,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_47,negated_conjecture,
    ( sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK
    | ~ aElementOf0(esk35_0,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_48,hypothesis,
    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X3,sdtlpdtrp0(xN,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,hypothesis,
    aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]),c_0_46]),c_0_30])]) ).

fof(c_0_50,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(sz00,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ isFinite0(esk34_0)
    | ~ aElementOf0(esk35_0,xS) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31])]),c_0_32]) ).

cnf(c_0_52,hypothesis,
    ( aElementOf0(esk35_0,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,esk33_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_17])]) ).

cnf(c_0_53,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_54,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_55,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_56,negated_conjecture,
    ~ aElementOf0(esk35_0,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_28]),c_0_46]),c_0_30])]) ).

cnf(c_0_57,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_17])]),c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM579+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jul  6 23:35:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.27/8.45  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.27/8.45  # Preprocessing time       : 0.273 s
% 0.27/8.45  
% 0.27/8.45  # Proof found!
% 0.27/8.45  # SZS status Theorem
% 0.27/8.45  # SZS output start CNFRefutation
% See solution above
% 0.27/8.45  # Proof object total steps             : 58
% 0.27/8.45  # Proof object clause steps            : 38
% 0.27/8.45  # Proof object formula steps           : 20
% 0.27/8.45  # Proof object conjectures             : 22
% 0.27/8.45  # Proof object clause conjectures      : 19
% 0.27/8.45  # Proof object formula conjectures     : 3
% 0.27/8.45  # Proof object initial clauses used    : 24
% 0.27/8.45  # Proof object initial formulas used   : 11
% 0.27/8.45  # Proof object generating inferences   : 13
% 0.27/8.45  # Proof object simplifying inferences  : 38
% 0.27/8.45  # Training examples: 0 positive, 0 negative
% 0.27/8.45  # Parsed axioms                        : 85
% 0.27/8.45  # Removed by relevancy pruning/SinE    : 0
% 0.27/8.45  # Initial clauses                      : 4210
% 0.27/8.45  # Removed in clause preprocessing      : 7
% 0.27/8.45  # Initial clauses in saturation        : 4203
% 0.27/8.45  # Processed clauses                    : 8496
% 0.27/8.45  # ...of these trivial                  : 62
% 0.27/8.45  # ...subsumed                          : 2195
% 0.27/8.45  # ...remaining for further processing  : 6239
% 0.27/8.45  # Other redundant clauses eliminated   : 4282
% 0.27/8.45  # Clauses deleted for lack of memory   : 0
% 0.27/8.45  # Backward-subsumed                    : 281
% 0.27/8.45  # Backward-rewritten                   : 60
% 0.27/8.45  # Generated clauses                    : 96495
% 0.27/8.45  # ...of the previous two non-trivial   : 86489
% 0.27/8.45  # Contextual simplify-reflections      : 2010
% 0.27/8.45  # Paramodulations                      : 91953
% 0.27/8.45  # Factorizations                       : 7
% 0.27/8.45  # Equation resolutions                 : 4531
% 0.27/8.45  # Current number of processed clauses  : 5891
% 0.27/8.45  #    Positive orientable unit clauses  : 97
% 0.27/8.45  #    Positive unorientable unit clauses: 0
% 0.27/8.45  #    Negative unit clauses             : 58
% 0.27/8.45  #    Non-unit-clauses                  : 5736
% 0.27/8.45  # Current number of unprocessed clauses: 78997
% 0.27/8.45  # ...number of literals in the above   : 1157159
% 0.27/8.45  # Current number of archived formulas  : 0
% 0.27/8.45  # Current number of archived clauses   : 345
% 0.27/8.45  # Clause-clause subsumption calls (NU) : 8004672
% 0.27/8.45  # Rec. Clause-clause subsumption calls : 174700
% 0.27/8.45  # Non-unit clause-clause subsumptions  : 3461
% 0.27/8.45  # Unit Clause-clause subsumption calls : 257321
% 0.27/8.45  # Rewrite failures with RHS unbound    : 0
% 0.27/8.45  # BW rewrite match attempts            : 19
% 0.27/8.45  # BW rewrite match successes           : 18
% 0.27/8.45  # Condensation attempts                : 0
% 0.27/8.45  # Condensation successes               : 0
% 0.27/8.45  # Termbank termtop insertions          : 4622855
% 0.27/8.45  
% 0.27/8.45  # -------------------------------------------------
% 0.27/8.45  # User time                : 7.621 s
% 0.27/8.45  # System time              : 0.105 s
% 0.27/8.45  # Total time               : 7.726 s
% 0.27/8.45  # Maximum resident set size: 124648 pages
% 0.27/23.41  eprover: CPU time limit exceeded, terminating
% 0.27/23.41  eprover: CPU time limit exceeded, terminating
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: CPU time limit exceeded, terminating
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------