TSTP Solution File: NUM633+3 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM633+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 09:34:38 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :  358 (  69 equ)
%            Maximal formula atoms :  229 (  13 avg)
%            Number of connectives :  526 ( 194   ~; 209   |; 103   &)
%                                         (   1 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   69 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :   47 (   1 sgn  28   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ! [X1] :
        ( ( ( ( ( aSet0(X1)
                & ! [X2] :
                    ( aElementOf0(X2,X1)
                   => aElementOf0(X2,xO) ) )
              | aSubsetOf0(X1,xO) )
            & sbrdtbr0(X1) = xK )
          | aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
       => ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
              | X1 = slcrc0 )
          & ! [X2] :
              ( aElementOf0(X2,X1)
             => aElementOf0(X2,szNzAzT0) )
          & aSubsetOf0(X1,szNzAzT0)
          & ! [X2] :
              ( aElementOf0(X2,X1)
             => aElementOf0(X2,xS) )
          & aSubsetOf0(X1,xS)
          & ! [X2] :
              ( aElementOf0(X2,X1)
             => aElementOf0(X2,xS) )
          & aSubsetOf0(X1,xS)
          & aElementOf0(X1,szDzozmdt0(xc))
          & sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
   => ? [X1] :
        ( aElementOf0(X1,xT)
        & ? [X2] :
            ( ( ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                   => aElementOf0(X3,xS) ) )
              | aSubsetOf0(X2,xS) )
            & isCountable0(X2)
            & ! [X3] :
                ( ( aSet0(X3)
                  & ! [X4] :
                      ( aElementOf0(X4,X3)
                     => aElementOf0(X4,X2) )
                  & aSubsetOf0(X3,X2)
                  & sbrdtbr0(X3) = xK
                  & aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
               => sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__4998,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,xO)
       => aElementOf0(X1,xS) )
    & aSubsetOf0(xO,xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4998) ).

fof(m__4908,hypothesis,
    ( aSet0(xO)
    & isCountable0(xO) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4908) ).

fof(m__4854,hypothesis,
    ( aElementOf0(szDzizrdt0(xd),xT)
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( aElementOf0(X1,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4854) ).

fof(c_0_4,negated_conjecture,
    ~ ( ! [X1] :
          ( ( ( ( ( aSet0(X1)
                  & ! [X2] :
                      ( aElementOf0(X2,X1)
                     => aElementOf0(X2,xO) ) )
                | aSubsetOf0(X1,xO) )
              & sbrdtbr0(X1) = xK )
            | aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
         => ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
                | X1 = slcrc0 )
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,szNzAzT0) )
            & aSubsetOf0(X1,szNzAzT0)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xS) )
            & aSubsetOf0(X1,xS)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xS) )
            & aSubsetOf0(X1,xS)
            & aElementOf0(X1,szDzozmdt0(xc))
            & sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
     => ? [X1] :
          ( aElementOf0(X1,xT)
          & ? [X2] :
              ( ( ( aSet0(X2)
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,xS) ) )
                | aSubsetOf0(X2,xS) )
              & isCountable0(X2)
              & ! [X3] :
                  ( ( aSet0(X3)
                    & ! [X4] :
                        ( aElementOf0(X4,X3)
                       => aElementOf0(X4,X2) )
                    & aSubsetOf0(X3,X2)
                    & sbrdtbr0(X3) = xK
                    & aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
                 => sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,negated_conjecture,
    ! [X5,X8,X9,X10,X11,X12,X15] :
      ( ( aElementOf0(esk2_1(X5),X5)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( X5 != slcrc0
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X8,X5)
        | aElementOf0(X8,szNzAzT0)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,szNzAzT0)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X9,X5)
        | aElementOf0(X9,xS)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X10,X5)
        | aElementOf0(X10,xS)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(X5,szDzozmdt0(xc))
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( sdtlpdtrp0(xc,X5) = szDzizrdt0(xd)
        | aElementOf0(esk1_1(X5),X5)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(esk2_1(X5),X5)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( X5 != slcrc0
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X8,X5)
        | aElementOf0(X8,szNzAzT0)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,szNzAzT0)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X9,X5)
        | aElementOf0(X9,xS)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X10,X5)
        | aElementOf0(X10,xS)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(X5,szDzozmdt0(xc))
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( sdtlpdtrp0(xc,X5) = szDzizrdt0(xd)
        | ~ aElementOf0(esk1_1(X5),xO)
        | ~ aSet0(X5)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(esk2_1(X5),X5)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( X5 != slcrc0
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X8,X5)
        | aElementOf0(X8,szNzAzT0)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,szNzAzT0)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X9,X5)
        | aElementOf0(X9,xS)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( ~ aElementOf0(X10,X5)
        | aElementOf0(X10,xS)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( aSubsetOf0(X5,xS)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(X5,szDzozmdt0(xc))
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( sdtlpdtrp0(xc,X5) = szDzizrdt0(xd)
        | ~ aSubsetOf0(X5,xO)
        | sbrdtbr0(X5) != xK )
      & ( aElementOf0(esk2_1(X5),X5)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( X5 != slcrc0
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( ~ aElementOf0(X8,X5)
        | aElementOf0(X8,szNzAzT0)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( aSubsetOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( ~ aElementOf0(X9,X5)
        | aElementOf0(X9,xS)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( aSubsetOf0(X5,xS)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( ~ aElementOf0(X10,X5)
        | aElementOf0(X10,xS)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( aSubsetOf0(X5,xS)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( aElementOf0(X5,szDzozmdt0(xc))
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( sdtlpdtrp0(xc,X5) = szDzizrdt0(xd)
        | ~ aElementOf0(X5,slbdtsldtrb0(xO,xK)) )
      & ( aSet0(esk4_2(X11,X12))
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( ~ aElementOf0(X15,esk4_2(X11,X12))
        | aElementOf0(X15,X12)
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aSubsetOf0(esk4_2(X11,X12),X12)
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sbrdtbr0(esk4_2(X11,X12)) = xK
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aElementOf0(esk4_2(X11,X12),slbdtsldtrb0(X12,xK))
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sdtlpdtrp0(xc,esk4_2(X11,X12)) != X11
        | aElementOf0(esk3_2(X11,X12),X12)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aSet0(esk4_2(X11,X12))
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( ~ aElementOf0(X15,esk4_2(X11,X12))
        | aElementOf0(X15,X12)
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aSubsetOf0(esk4_2(X11,X12),X12)
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sbrdtbr0(esk4_2(X11,X12)) = xK
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aElementOf0(esk4_2(X11,X12),slbdtsldtrb0(X12,xK))
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sdtlpdtrp0(xc,esk4_2(X11,X12)) != X11
        | ~ aElementOf0(esk3_2(X11,X12),xS)
        | ~ aSet0(X12)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aSet0(esk4_2(X11,X12))
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( ~ aElementOf0(X15,esk4_2(X11,X12))
        | aElementOf0(X15,X12)
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aSubsetOf0(esk4_2(X11,X12),X12)
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sbrdtbr0(esk4_2(X11,X12)) = xK
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( aElementOf0(esk4_2(X11,X12),slbdtsldtrb0(X12,xK))
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) )
      & ( sdtlpdtrp0(xc,esk4_2(X11,X12)) != X11
        | ~ aSubsetOf0(X12,xS)
        | ~ isCountable0(X12)
        | ~ aElementOf0(X11,xT) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).

fof(c_0_6,hypothesis,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xO)
        | aElementOf0(X2,xS) )
      & aSubsetOf0(xO,xS) ),
    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__4998])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( sbrdtbr0(esk4_2(X1,X2)) = xK
    | ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aSubsetOf0(xO,xS),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    isCountable0(xO),
    inference(split_conjunct,[status(thm)],[m__4908]) ).

fof(c_0_10,hypothesis,
    ! [X2,X2] :
      ( aElementOf0(szDzizrdt0(xd),xT)
      & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & ( aElementOf0(X2,szDzozmdt0(xd))
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xd))
        | sdtlpdtrp0(xd,X2) != szDzizrdt0(xd)
        | aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    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__4854])])])])])]) ).

cnf(c_0_11,hypothesis,
    ( sbrdtbr0(esk4_2(X1,xO)) = xK
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,hypothesis,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( aSet0(esk4_2(X1,X2))
    | ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ( aElementOf0(esk1_1(X1),X1)
    | sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
    | sbrdtbr0(X1) != xK
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,hypothesis,
    sbrdtbr0(esk4_2(szDzizrdt0(xd),xO)) = xK,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,hypothesis,
    ( aSet0(esk4_2(X1,xO))
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_9])]) ).

cnf(c_0_17,negated_conjecture,
    ( sdtlpdtrp0(xc,esk4_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd)
    | aElementOf0(esk1_1(esk4_2(szDzizrdt0(xd),xO)),esk4_2(szDzizrdt0(xd),xO))
    | ~ aSet0(esk4_2(szDzizrdt0(xd),xO)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,hypothesis,
    aSet0(esk4_2(szDzizrdt0(xd),xO)),
    inference(spm,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( aElementOf0(X3,X2)
    | ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS)
    | ~ aElementOf0(X3,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,negated_conjecture,
    ( sdtlpdtrp0(xc,esk4_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd)
    | aElementOf0(esk1_1(esk4_2(szDzizrdt0(xd),xO)),esk4_2(szDzizrdt0(xd),xO)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_21,negated_conjecture,
    ( sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
    | sbrdtbr0(X1) != xK
    | ~ aSet0(X1)
    | ~ aElementOf0(esk1_1(X1),xO) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,negated_conjecture,
    ( sdtlpdtrp0(xc,esk4_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd)
    | aElementOf0(esk1_1(esk4_2(szDzizrdt0(xd),xO)),xO) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_8]),c_0_9]),c_0_12])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS)
    | sdtlpdtrp0(xc,esk4_2(X1,X2)) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_24,negated_conjecture,
    sdtlpdtrp0(xc,esk4_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15]),c_0_18])]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_8]),c_0_9]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM633+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 13:34:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.43  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.43  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.43  # Preprocessing time       : 0.065 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 26
% 0.24/1.43  # Proof object clause steps            : 18
% 0.24/1.43  # Proof object formula steps           : 8
% 0.24/1.43  # Proof object conjectures             : 14
% 0.24/1.43  # Proof object clause conjectures      : 11
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 9
% 0.24/1.43  # Proof object initial formulas used   : 4
% 0.24/1.43  # Proof object generating inferences   : 8
% 0.24/1.43  # Proof object simplifying inferences  : 17
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 99
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 15
% 0.24/1.43  # Initial clauses                      : 915
% 0.24/1.43  # Removed in clause preprocessing      : 6
% 0.24/1.43  # Initial clauses in saturation        : 909
% 0.24/1.43  # Processed clauses                    : 1248
% 0.24/1.43  # ...of these trivial                  : 7
% 0.24/1.43  # ...subsumed                          : 345
% 0.24/1.43  # ...remaining for further processing  : 896
% 0.24/1.43  # Other redundant clauses eliminated   : 2
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 14
% 0.24/1.43  # Backward-rewritten                   : 29
% 0.24/1.43  # Generated clauses                    : 3114
% 0.24/1.43  # ...of the previous two non-trivial   : 3038
% 0.24/1.43  # Contextual simplify-reflections      : 658
% 0.24/1.43  # Paramodulations                      : 3082
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 25
% 0.24/1.43  # Current number of processed clauses  : 847
% 0.24/1.43  #    Positive orientable unit clauses  : 132
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 40
% 0.24/1.43  #    Non-unit-clauses                  : 675
% 0.24/1.43  # Current number of unprocessed clauses: 1876
% 0.24/1.43  # ...number of literals in the above   : 6854
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 45
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 408457
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 16523
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 976
% 0.24/1.43  # Unit Clause-clause subsumption calls : 33680
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 25
% 0.24/1.43  # BW rewrite match successes           : 5
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 144198
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.337 s
% 0.24/1.43  # System time              : 0.008 s
% 0.24/1.43  # Total time               : 0.345 s
% 0.24/1.43  # Maximum resident set size: 8512 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------