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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM481+1 : 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 09:32:54 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   64 (  16 unt;   0 def)
%            Number of atoms       :  279 (  99 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  326 ( 111   ~; 147   |;  47   &)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn  33   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ! [X1] :
      ( ( aNaturalNumber0(X1)
        & X1 != sz00
        & X1 != sz10 )
     => ( ! [X2] :
            ( ( aNaturalNumber0(X2)
              & X2 != sz00
              & X2 != sz10 )
           => ( iLess0(X2,X1)
             => ? [X3] :
                  ( aNaturalNumber0(X3)
                  & doDivides0(X3,X2)
                  & isPrime0(X3) ) ) )
       => ? [X2] :
            ( aNaturalNumber0(X2)
            & doDivides0(X2,X1)
            & isPrime0(X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m_MulUnit,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m_MulUnit) ).

fof(mDefDiv,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & X2 = sdtasdt0(X1,X3) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefDiv) ).

fof(mDefPrime,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( isPrime0(X1)
      <=> ( X1 != sz00
          & X1 != sz10
          & ! [X2] :
              ( ( aNaturalNumber0(X2)
                & doDivides0(X2,X1) )
             => ( X2 = sz10
                | X2 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefPrime) ).

fof(mSortsC_01,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsC_01) ).

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(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_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_9,negated_conjecture,
    ~ ! [X1] :
        ( ( aNaturalNumber0(X1)
          & X1 != sz00
          & X1 != sz10 )
       => ( ! [X2] :
              ( ( aNaturalNumber0(X2)
                & X2 != sz00
                & X2 != sz10 )
             => ( iLess0(X2,X1)
               => ? [X3] :
                    ( aNaturalNumber0(X3)
                    & doDivides0(X3,X2)
                    & isPrime0(X3) ) ) )
         => ? [X2] :
              ( aNaturalNumber0(X2)
              & doDivides0(X2,X1)
              & isPrime0(X2) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_10,plain,
    ! [X2] :
      ( ( sdtasdt0(X2,sz10) = X2
        | ~ aNaturalNumber0(X2) )
      & ( X2 = sdtasdt0(sz10,X2)
        | ~ aNaturalNumber0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).

fof(c_0_11,negated_conjecture,
    ! [X5,X7] :
      ( aNaturalNumber0(esk1_0)
      & esk1_0 != sz00
      & esk1_0 != sz10
      & ( aNaturalNumber0(esk2_1(X5))
        | ~ iLess0(X5,esk1_0)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( doDivides0(esk2_1(X5),X5)
        | ~ iLess0(X5,esk1_0)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( isPrime0(esk2_1(X5))
        | ~ iLess0(X5,esk1_0)
        | ~ aNaturalNumber0(X5)
        | X5 = sz00
        | X5 = sz10 )
      & ( ~ aNaturalNumber0(X7)
        | ~ doDivides0(X7,esk1_0)
        | ~ isPrime0(X7) ) ),
    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_9])])])])])])]) ).

fof(c_0_12,plain,
    ! [X4,X5,X7] :
      ( ( aNaturalNumber0(esk4_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( X5 = sdtasdt0(X4,esk4_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X7)
        | X5 != sdtasdt0(X4,X7)
        | doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) ) ),
    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)],[mDefDiv])])])])])])]) ).

cnf(c_0_13,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    aNaturalNumber0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ( X3 != sz00
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( X3 != sz10
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( ~ aNaturalNumber0(X4)
        | ~ doDivides0(X4,X3)
        | X4 = sz10
        | X4 = X3
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( aNaturalNumber0(esk3_1(X3))
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( doDivides0(esk3_1(X3),X3)
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( esk3_1(X3) != sz10
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( esk3_1(X3) != X3
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) ) ),
    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)],[mDefPrime])])])])])])]) ).

cnf(c_0_16,plain,
    ( doDivides0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X1 != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    sdtasdt0(esk1_0,sz10) = esk1_0,
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    aNaturalNumber0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

fof(c_0_19,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_20,plain,
    ( isPrime0(X1)
    | X1 = sz10
    | X1 = sz00
    | doDivides0(esk3_1(X1),X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    esk1_0 != sz10,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    esk1_0 != sz00,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_23,plain,
    ( isPrime0(X1)
    | X1 = sz10
    | X1 = sz00
    | aNaturalNumber0(esk3_1(X1))
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( doDivides0(esk1_0,X1)
    | X1 != esk1_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_14])]) ).

cnf(c_0_25,plain,
    ( sdtlseqdt0(X1,X2)
    | X2 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ( isPrime0(esk1_0)
    | doDivides0(esk3_1(esk1_0),esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_14]),c_0_21]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( isPrime0(esk1_0)
    | aNaturalNumber0(esk3_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_21]),c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ isPrime0(X1)
    | ~ doDivides0(X1,esk1_0)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    doDivides0(esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_24,c_0_14]) ).

fof(c_0_30,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_31,negated_conjecture,
    ( isPrime0(esk1_0)
    | sdtlseqdt0(esk3_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_14])]),c_0_22]),c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    ~ isPrime0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_14])]) ).

fof(c_0_33,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])]) ).

cnf(c_0_34,plain,
    ( iLess0(X1,X2)
    | X1 = X2
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    sdtlseqdt0(esk3_1(esk1_0),esk1_0),
    inference(sr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    aNaturalNumber0(esk3_1(esk1_0)),
    inference(sr,[status(thm)],[c_0_27,c_0_32]) ).

cnf(c_0_37,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    doDivides0(esk3_1(esk1_0),esk1_0),
    inference(sr,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( X1 = sz10
    | X1 = sz00
    | doDivides0(esk2_1(X1),X1)
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_40,negated_conjecture,
    ( esk3_1(esk1_0) = esk1_0
    | iLess0(esk3_1(esk1_0),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_14]),c_0_36])]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 = sz10
    | X1 = sz00
    | aNaturalNumber0(esk2_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_42,negated_conjecture,
    ( doDivides0(X1,esk1_0)
    | ~ doDivides0(X1,esk3_1(esk1_0))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]),c_0_14])]) ).

cnf(c_0_43,negated_conjecture,
    ( esk3_1(esk1_0) = esk1_0
    | esk3_1(esk1_0) = sz00
    | esk3_1(esk1_0) = sz10
    | doDivides0(esk2_1(esk3_1(esk1_0)),esk3_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36])]) ).

cnf(c_0_44,negated_conjecture,
    ( esk3_1(esk1_0) = esk1_0
    | esk3_1(esk1_0) = sz00
    | esk3_1(esk1_0) = sz10
    | aNaturalNumber0(esk2_1(esk3_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_36])]) ).

cnf(c_0_45,negated_conjecture,
    ( X1 = sz10
    | X1 = sz00
    | isPrime0(esk2_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_46,plain,
    ( aNaturalNumber0(esk4_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_47,negated_conjecture,
    ( esk3_1(esk1_0) = sz10
    | esk3_1(esk1_0) = sz00
    | esk3_1(esk1_0) = esk1_0
    | doDivides0(esk2_1(esk3_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( esk3_1(esk1_0) = esk1_0
    | esk3_1(esk1_0) = sz00
    | esk3_1(esk1_0) = sz10
    | isPrime0(esk2_1(esk3_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_36])]) ).

fof(c_0_49,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_50,negated_conjecture,
    ( isPrime0(esk1_0)
    | aNaturalNumber0(esk4_2(esk3_1(esk1_0),esk1_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_26]),c_0_14])]),c_0_27]) ).

cnf(c_0_51,plain,
    ( isPrime0(X1)
    | X1 = sz10
    | X1 = sz00
    | ~ aNaturalNumber0(X1)
    | esk3_1(X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_52,negated_conjecture,
    ( esk3_1(esk1_0) = esk1_0
    | esk3_1(esk1_0) = sz00
    | esk3_1(esk1_0) = sz10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_44]),c_0_48]) ).

cnf(c_0_53,plain,
    ( X1 = sdtasdt0(X2,esk4_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_54,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    aNaturalNumber0(esk4_2(esk3_1(esk1_0),esk1_0)),
    inference(sr,[status(thm)],[c_0_50,c_0_32]) ).

cnf(c_0_56,plain,
    ( isPrime0(X1)
    | X1 = sz10
    | X1 = sz00
    | ~ aNaturalNumber0(X1)
    | esk3_1(X1) != sz10 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_57,negated_conjecture,
    ( esk3_1(esk1_0) = sz10
    | esk3_1(esk1_0) = sz00 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_14])]),c_0_21]),c_0_22]),c_0_32]) ).

cnf(c_0_58,negated_conjecture,
    ( sdtasdt0(esk3_1(esk1_0),esk4_2(esk3_1(esk1_0),esk1_0)) = esk1_0
    | isPrime0(esk1_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_26]),c_0_14])]),c_0_27]) ).

cnf(c_0_59,negated_conjecture,
    sdtasdt0(sz00,esk4_2(esk3_1(esk1_0),esk1_0)) = sz00,
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    esk3_1(esk1_0) = sz00,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_14])]),c_0_21]),c_0_22]),c_0_32]) ).

cnf(c_0_61,negated_conjecture,
    sdtasdt0(esk3_1(esk1_0),esk4_2(esk3_1(esk1_0),esk1_0)) = esk1_0,
    inference(sr,[status(thm)],[c_0_58,c_0_32]) ).

cnf(c_0_62,negated_conjecture,
    sdtasdt0(sz00,esk4_2(sz00,esk1_0)) = sz00,
    inference(rw,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_60]),c_0_60]),c_0_62]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM481+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 18:47:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/1.41  # Preprocessing time       : 0.018 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 64
% 0.22/1.41  # Proof object clause steps            : 46
% 0.22/1.41  # Proof object formula steps           : 18
% 0.22/1.41  # Proof object conjectures             : 36
% 0.22/1.41  # Proof object clause conjectures      : 33
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 20
% 0.22/1.41  # Proof object initial formulas used   : 9
% 0.22/1.41  # Proof object generating inferences   : 19
% 0.22/1.41  # Proof object simplifying inferences  : 54
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 38
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 3
% 0.22/1.41  # Initial clauses                      : 67
% 0.22/1.41  # Removed in clause preprocessing      : 3
% 0.22/1.41  # Initial clauses in saturation        : 64
% 0.22/1.41  # Processed clauses                    : 3411
% 0.22/1.41  # ...of these trivial                  : 122
% 0.22/1.41  # ...subsumed                          : 762
% 0.22/1.41  # ...remaining for further processing  : 2526
% 0.22/1.41  # Other redundant clauses eliminated   : 1
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 121
% 0.22/1.41  # Backward-rewritten                   : 1035
% 0.22/1.41  # Generated clauses                    : 72676
% 0.22/1.41  # ...of the previous two non-trivial   : 70859
% 0.22/1.41  # Contextual simplify-reflections      : 128
% 0.22/1.41  # Paramodulations                      : 72562
% 0.22/1.41  # Factorizations                       : 3
% 0.22/1.41  # Equation resolutions                 : 84
% 0.22/1.41  # Current number of processed clauses  : 1342
% 0.22/1.41  #    Positive orientable unit clauses  : 291
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 107
% 0.22/1.41  #    Non-unit-clauses                  : 944
% 0.22/1.41  # Current number of unprocessed clauses: 28896
% 0.22/1.41  # ...number of literals in the above   : 70571
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 1183
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 90518
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 48046
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 518
% 0.22/1.41  # Unit Clause-clause subsumption calls : 16271
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 265
% 0.22/1.41  # BW rewrite match successes           : 148
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 1592055
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.708 s
% 0.22/1.41  # System time              : 0.035 s
% 0.22/1.41  # Total time               : 0.743 s
% 0.22/1.41  # Maximum resident set size: 39260 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------