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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM483+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 09:32:56 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  332 ( 124 equ)
%            Maximal formula atoms :   73 (   6 avg)
%            Number of connectives :  433 ( 153   ~; 194   |;  70   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  34   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aNaturalNumber0(X1)
      & ( ? [X2] :
            ( aNaturalNumber0(X2)
            & xk = sdtasdt0(X1,X2) )
        | doDivides0(X1,xk) )
      & ( ( X1 != sz00
          & X1 != sz10
          & ! [X2] :
              ( ( aNaturalNumber0(X2)
                & ? [X3] :
                    ( aNaturalNumber0(X3)
                    & X1 = sdtasdt0(X2,X3) )
                & doDivides0(X2,X1) )
             => ( X2 = sz10
                | X2 = X1 ) ) )
        | isPrime0(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(mDivTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X2,X3) )
       => doDivides0(X1,X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDivTrans) ).

fof(m__1725,hypothesis,
    ~ ( ! [X1] :
          ( ( aNaturalNumber0(X1)
            & ? [X2] :
                ( aNaturalNumber0(X2)
                & xk = sdtasdt0(X1,X2) )
            & doDivides0(X1,xk) )
         => ( X1 = sz10
            | X1 = xk ) )
      | isPrime0(xk) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1725) ).

fof(m__1700,hypothesis,
    ! [X1] :
      ( ( aNaturalNumber0(X1)
        & X1 != sz00
        & X1 != sz10 )
     => ( iLess0(X1,xk)
       => ? [X2] :
            ( aNaturalNumber0(X2)
            & ? [X3] :
                ( aNaturalNumber0(X3)
                & X1 = sdtasdt0(X2,X3) )
            & doDivides0(X2,X1)
            & X2 != sz00
            & X2 != sz10
            & ! [X3] :
                ( ( aNaturalNumber0(X3)
                  & ( ? [X4] :
                        ( aNaturalNumber0(X4)
                        & X2 = sdtasdt0(X3,X4) )
                    | doDivides0(X3,X2) ) )
               => ( X3 = sz10
                  | X3 = X2 ) )
            & isPrime0(X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1700) ).

fof(m__1716,hypothesis,
    aNaturalNumber0(xk),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1716) ).

fof(mLETran,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLETran) ).

fof(mDivLE,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( doDivides0(X1,X2)
          & X2 != sz00 )
       => sdtlseqdt0(X1,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDivLE) ).

fof(mIH_03,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != X2
          & sdtlseqdt0(X1,X2) )
       => iLess0(X1,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mIH_03) ).

fof(m__1716_04,hypothesis,
    ( xk != sz00
    & xk != sz10 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1716_04) ).

fof(mLERefl,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLERefl) ).

fof(m_MulZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m_MulZero) ).

fof(c_0_11,negated_conjecture,
    ~ ? [X1] :
        ( aNaturalNumber0(X1)
        & ( ? [X2] :
              ( aNaturalNumber0(X2)
              & xk = sdtasdt0(X1,X2) )
          | doDivides0(X1,xk) )
        & ( ( X1 != sz00
            & X1 != sz10
            & ! [X2] :
                ( ( aNaturalNumber0(X2)
                  & ? [X3] :
                      ( aNaturalNumber0(X3)
                      & X1 = sdtasdt0(X2,X3) )
                  & doDivides0(X2,X1) )
               => ( X2 = sz10
                  | X2 = X1 ) ) )
          | isPrime0(X1) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_12,plain,
    ! [X4,X5,X6] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ~ aNaturalNumber0(X6)
      | ~ doDivides0(X4,X5)
      | ~ doDivides0(X5,X6)
      | doDivides0(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).

fof(c_0_13,hypothesis,
    ( aNaturalNumber0(esk6_0)
    & aNaturalNumber0(esk7_0)
    & xk = sdtasdt0(esk6_0,esk7_0)
    & doDivides0(esk6_0,xk)
    & esk6_0 != sz10
    & esk6_0 != xk
    & ~ isPrime0(xk) ),
    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__1725])])])])]) ).

fof(c_0_14,negated_conjecture,
    ! [X4,X5] :
      ( ( aNaturalNumber0(esk8_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( aNaturalNumber0(esk9_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( X4 = sdtasdt0(esk8_1(X4),esk9_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( doDivides0(esk8_1(X4),X4)
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( esk8_1(X4) != sz10
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( esk8_1(X4) != X4
        | X4 = sz00
        | X4 = sz10
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( ~ isPrime0(X4)
        | ~ aNaturalNumber0(X5)
        | xk != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4) )
      & ( aNaturalNumber0(esk8_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( aNaturalNumber0(esk9_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( X4 = sdtasdt0(esk8_1(X4),esk9_1(X4))
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( doDivides0(esk8_1(X4),X4)
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( esk8_1(X4) != sz10
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( esk8_1(X4) != X4
        | X4 = sz00
        | X4 = sz10
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) )
      & ( ~ isPrime0(X4)
        | ~ doDivides0(X4,xk)
        | ~ aNaturalNumber0(X4) ) ),
    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_15,hypothesis,
    ! [X5,X8,X9] :
      ( ( aNaturalNumber0(esk4_1(X5))
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( aNaturalNumber0(esk5_1(X5))
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( X5 = sdtasdt0(esk4_1(X5),esk5_1(X5))
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( doDivides0(esk4_1(X5),X5)
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( esk4_1(X5) != sz00
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( esk4_1(X5) != sz10
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( ~ aNaturalNumber0(X9)
        | esk4_1(X5) != sdtasdt0(X8,X9)
        | ~ aNaturalNumber0(X8)
        | X8 = sz10
        | X8 = esk4_1(X5)
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( ~ doDivides0(X8,esk4_1(X5))
        | ~ aNaturalNumber0(X8)
        | X8 = sz10
        | X8 = esk4_1(X5)
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( isPrime0(esk4_1(X5))
        | ~ iLess0(X5,xk)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 ) ),
    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__1700])])])])])])]) ).

cnf(c_0_16,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,hypothesis,
    doDivides0(esk6_0,xk),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,hypothesis,
    aNaturalNumber0(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,hypothesis,
    aNaturalNumber0(xk),
    inference(split_conjunct,[status(thm)],[m__1716]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ~ aNaturalNumber0(X6)
      | ~ sdtlseqdt0(X4,X5)
      | ~ sdtlseqdt0(X5,X6)
      | sdtlseqdt0(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).

fof(c_0_21,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | ~ doDivides0(X3,X4)
      | X4 = sz00
      | sdtlseqdt0(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,xk)
    | ~ isPrime0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,hypothesis,
    ( X1 = sz10
    | X1 = sz00
    | isPrime0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,hypothesis,
    ( X1 = sz10
    | X1 = sz00
    | aNaturalNumber0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,hypothesis,
    ( doDivides0(X1,xk)
    | ~ doDivides0(X1,esk6_0)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).

cnf(c_0_26,hypothesis,
    ( X1 = sz10
    | X1 = sz00
    | doDivides0(esk4_1(X1),X1)
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_27,hypothesis,
    esk6_0 != sz10,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( sdtlseqdt0(X1,X2)
    | X2 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    ( X1 = sz00
    | X1 = sz10
    | ~ doDivides0(esk4_1(X1),xk)
    | ~ iLess0(X1,xk)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_31,hypothesis,
    ( esk6_0 = sz00
    | doDivides0(esk4_1(esk6_0),xk)
    | ~ iLess0(esk6_0,xk)
    | ~ aNaturalNumber0(esk4_1(esk6_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18])]),c_0_27]) ).

fof(c_0_32,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | X3 = X4
      | ~ sdtlseqdt0(X3,X4)
      | iLess0(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).

cnf(c_0_33,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,X1)
    | ~ doDivides0(X3,X1)
    | ~ sdtlseqdt0(X2,X3)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,hypothesis,
    xk != sz00,
    inference(split_conjunct,[status(thm)],[m__1716_04]) ).

fof(c_0_35,plain,
    ! [X2] :
      ( ~ aNaturalNumber0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).

cnf(c_0_36,hypothesis,
    ( esk6_0 = sz00
    | ~ iLess0(esk6_0,xk)
    | ~ aNaturalNumber0(esk4_1(esk6_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18])]),c_0_27]) ).

cnf(c_0_37,plain,
    ( iLess0(X1,X2)
    | X1 = X2
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,hypothesis,
    esk6_0 != xk,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_39,hypothesis,
    ( sdtlseqdt0(X1,xk)
    | ~ sdtlseqdt0(X1,esk6_0)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_18]),c_0_19])]),c_0_34]) ).

cnf(c_0_40,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,hypothesis,
    ( esk6_0 = sz00
    | ~ sdtlseqdt0(esk6_0,xk)
    | ~ aNaturalNumber0(esk4_1(esk6_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19]),c_0_18])]),c_0_38]) ).

cnf(c_0_42,hypothesis,
    sdtlseqdt0(esk6_0,xk),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_18])]) ).

cnf(c_0_43,hypothesis,
    ( esk6_0 = sz00
    | ~ aNaturalNumber0(esk4_1(esk6_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

cnf(c_0_44,hypothesis,
    ( X1 = xk
    | X1 = sz00
    | X1 = sz10
    | aNaturalNumber0(esk4_1(X1))
    | ~ sdtlseqdt0(X1,xk)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_19])]) ).

fof(c_0_45,plain,
    ! [X2] :
      ( ( sdtasdt0(X2,sz00) = sz00
        | ~ aNaturalNumber0(X2) )
      & ( sz00 = sdtasdt0(sz00,X2)
        | ~ aNaturalNumber0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).

cnf(c_0_46,hypothesis,
    xk = sdtasdt0(esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_47,hypothesis,
    esk6_0 = sz00,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42]),c_0_18])]),c_0_38]),c_0_27]) ).

cnf(c_0_48,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,hypothesis,
    sdtasdt0(sz00,esk7_0) = xk,
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,hypothesis,
    aNaturalNumber0(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_51,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM483+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 06:52:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.020 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 52
% 0.24/1.42  # Proof object clause steps            : 31
% 0.24/1.42  # Proof object formula steps           : 21
% 0.24/1.42  # Proof object conjectures             : 5
% 0.24/1.42  # Proof object clause conjectures      : 2
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 18
% 0.24/1.42  # Proof object initial formulas used   : 11
% 0.24/1.42  # Proof object generating inferences   : 11
% 0.24/1.42  # Proof object simplifying inferences  : 33
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 42
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 100
% 0.24/1.42  # Removed in clause preprocessing      : 3
% 0.24/1.42  # Initial clauses in saturation        : 97
% 0.24/1.42  # Processed clauses                    : 422
% 0.24/1.42  # ...of these trivial                  : 1
% 0.24/1.42  # ...subsumed                          : 152
% 0.24/1.42  # ...remaining for further processing  : 269
% 0.24/1.42  # Other redundant clauses eliminated   : 28
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 22
% 0.24/1.42  # Backward-rewritten                   : 68
% 0.24/1.42  # Generated clauses                    : 1215
% 0.24/1.42  # ...of the previous two non-trivial   : 1109
% 0.24/1.42  # Contextual simplify-reflections      : 131
% 0.24/1.42  # Paramodulations                      : 1170
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 45
% 0.24/1.42  # Current number of processed clauses  : 178
% 0.24/1.42  #    Positive orientable unit clauses  : 15
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 11
% 0.24/1.42  #    Non-unit-clauses                  : 152
% 0.24/1.42  # Current number of unprocessed clauses: 591
% 0.24/1.42  # ...number of literals in the above   : 3800
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 90
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 11211
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 2708
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 246
% 0.24/1.42  # Unit Clause-clause subsumption calls : 483
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 7
% 0.24/1.42  # BW rewrite match successes           : 7
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 26227
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.062 s
% 0.24/1.42  # System time              : 0.004 s
% 0.24/1.42  # Total time               : 0.066 s
% 0.24/1.42  # Maximum resident set size: 4176 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 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
% 0.24/23.43  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
% 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
% 0.24/23.44  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
% 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
% 0.24/23.44  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
% 0.24/23.45  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
% 0.24/23.45  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
% 0.24/23.45  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
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  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
% 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
% 0.24/23.46  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
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 0.24/23.47  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
% 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
% 0.24/23.47  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
% 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
% 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
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------