TSTP Solution File: NUM503+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM503+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 09:33:09 EDT 2022

% Result   : Theorem 0.23s 2.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  118 (  37 unt;   0 def)
%            Number of atoms       :  439 ( 176 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  515 ( 194   ~; 194   |; 102   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-2 aty)
%            Number of variables   :  151 (   0 sgn  75   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mAMDistr,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAMDistr) ).

fof(m__1860,hypothesis,
    ( xp != sz00
    & xp != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xp = sdtasdt0(X1,X2) )
            | doDivides0(X1,xp) ) )
       => ( X1 = sz10
          | X1 = xp ) )
    & isPrime0(xp)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1860) ).

fof(m__2306,hypothesis,
    ( aNaturalNumber0(xk)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2306) ).

fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1837) ).

fof(mMulCanc,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 != sz00
       => ! [X2,X3] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X3) )
           => ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
                | sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
             => X2 = X3 ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulCanc) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAddComm) ).

fof(mZeroMul,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,X2) = sz00
       => ( X1 = sz00
          | X2 = sz00 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mZeroMul) ).

fof(mLEAsym,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLEAsym) ).

fof(mMonMul,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( X1 != sz00
          & X2 != X3
          & sdtlseqdt0(X2,X3) )
       => ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
          & sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
          & sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
          & sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMonMul) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsB_02) ).

fof(m__2075,hypothesis,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtpldt0(xp,X1) = xm )
      | sdtlseqdt0(xp,xm) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2075) ).

fof(m__2389,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xp,X1) = xk )
    & sdtlseqdt0(xp,xk) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2389) ).

fof(m_MulZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m_MulZero) ).

fof(mMulAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulAsso) ).

fof(m__2342,hypothesis,
    ( aNaturalNumber0(xr)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & xk = sdtasdt0(xr,X1) )
    & doDivides0(xr,xk)
    & xr != sz00
    & xr != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xr = sdtasdt0(X1,X2) )
            | doDivides0(X1,xr) ) )
       => ( X1 = sz10
          | X1 = xr ) )
    & isPrime0(xr) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2342) ).

fof(mZeroAdd,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtpldt0(X1,X2) = sz00
       => ( X1 = sz00
          & X2 = sz00 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mZeroAdd) ).

fof(m__2315,hypothesis,
    ~ ( xk = sz00
      | xk = sz10 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2315) ).

fof(m__2287,hypothesis,
    ( xn != xp
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xn,X1) = xp )
    & sdtlseqdt0(xn,xp)
    & xm != xp
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xm,X1) = xp )
    & sdtlseqdt0(xm,xp) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2287) ).

fof(mLETran,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLETran) ).

fof(m_AddZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m_AddZero) ).

fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mAddAsso) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsB) ).

fof(m__2362,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xr,X1) = xk )
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
    & doDivides0(xr,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2362) ).

fof(mSortsC,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsC) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulComm) ).

fof(c_0_25,plain,
    ! [X4,X5,X6] :
      ( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
      & ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).

fof(c_0_26,hypothesis,
    ! [X3,X4] :
      ( xp != sz00
      & xp != sz10
      & ( ~ aNaturalNumber0(X4)
        | xp != sdtasdt0(X3,X4)
        | ~ aNaturalNumber0(X3)
        | X3 = sz10
        | X3 = xp )
      & ( ~ doDivides0(X3,xp)
        | ~ aNaturalNumber0(X3)
        | X3 = sz10
        | X3 = xp )
      & isPrime0(xp)
      & aNaturalNumber0(esk9_0)
      & sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
      & doDivides0(xp,sdtasdt0(xn,xm)) ),
    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__1860])])])])])])]) ).

cnf(c_0_27,plain,
    ( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,hypothesis,
    sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_29,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_30,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6] :
      ( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6)
        | X4 = sz00
        | ~ aNaturalNumber0(X4) )
      & ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
        | X5 = X6
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6)
        | X4 = sz00
        | ~ aNaturalNumber0(X4) ) ),
    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)],[mMulCanc])])])])])]) ).

cnf(c_0_32,hypothesis,
    sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,hypothesis,
    ( sdtpldt0(sdtasdt0(xn,X1),sdtasdt0(xp,xk)) = sdtasdt0(xn,sdtpldt0(X1,xm))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_35,hypothesis,
    aNaturalNumber0(xk),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_36,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_37,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

fof(c_0_38,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | sdtasdt0(X3,X4) != sz00
      | X3 = sz00
      | X4 = sz00 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).

cnf(c_0_39,plain,
    ( X1 = sz00
    | X3 = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,hypothesis,
    sdtasdt0(xp,esk9_0) = sdtasdt0(xp,xk),
    inference(rw,[status(thm)],[c_0_32,c_0_28]) ).

cnf(c_0_41,hypothesis,
    aNaturalNumber0(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42,hypothesis,
    xp != sz00,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | ~ sdtlseqdt0(X3,X4)
      | ~ sdtlseqdt0(X4,X3)
      | X3 = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
        | X4 = sz00
        | X5 = X6
        | ~ sdtlseqdt0(X5,X6)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
      & ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
        | X4 = sz00
        | X5 = X6
        | ~ sdtlseqdt0(X5,X6)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
      & ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
        | X4 = sz00
        | X5 = X6
        | ~ sdtlseqdt0(X5,X6)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
      & ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
        | X4 = sz00
        | X5 = X6
        | ~ sdtlseqdt0(X5,X6)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

fof(c_0_46,hypothesis,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | sdtpldt0(xp,X2) != xm )
      & ~ sdtlseqdt0(xp,xm) ),
    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__2075])])])])]) ).

fof(c_0_47,hypothesis,
    ( aNaturalNumber0(esk15_0)
    & sdtpldt0(xp,esk15_0) = xk
    & sdtlseqdt0(xp,xk) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2389])])])]) ).

fof(c_0_48,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])])]) ).

fof(c_0_49,plain,
    ! [X4,X5,X6] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ~ aNaturalNumber0(X6)
      | sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).

fof(c_0_50,hypothesis,
    ! [X4,X5] :
      ( aNaturalNumber0(xr)
      & aNaturalNumber0(esk12_0)
      & xk = sdtasdt0(xr,esk12_0)
      & doDivides0(xr,xk)
      & xr != sz00
      & xr != sz10
      & ( ~ aNaturalNumber0(X5)
        | xr != sdtasdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | X4 = sz10
        | X4 = xr )
      & ( ~ doDivides0(X4,xr)
        | ~ aNaturalNumber0(X4)
        | X4 = sz10
        | X4 = xr )
      & isPrime0(xr) ),
    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__2342])])])])])])]) ).

fof(c_0_51,plain,
    ! [X3,X4] :
      ( ( X3 = sz00
        | sdtpldt0(X3,X4) != sz00
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
      & ( X4 = sz00
        | sdtpldt0(X3,X4) != sz00
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).

cnf(c_0_52,hypothesis,
    sdtasdt0(sdtpldt0(xn,xp),xk) = sdtasdt0(xn,sdtpldt0(xk,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_29]),c_0_36])]) ).

cnf(c_0_53,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_54,plain,
    ( X1 = sz00
    | X2 = sz00
    | sdtasdt0(X2,X1) != sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_55,hypothesis,
    ( X1 = esk9_0
    | sdtasdt0(xp,X1) != sdtasdt0(xp,xk)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_36])]),c_0_42]) ).

fof(c_0_56,hypothesis,
    ( xk != sz00
    & xk != sz10 ),
    inference(fof_nnf,[status(thm)],[m__2315]) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_58,plain,
    ( X2 = X1
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_60,plain,
    ( X1 = sz00
    | X3 = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_61,plain,
    ( X2 = X1
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_62,hypothesis,
    ( xn != xp
    & aNaturalNumber0(esk10_0)
    & sdtpldt0(xn,esk10_0) = xp
    & sdtlseqdt0(xn,xp)
    & xm != xp
    & aNaturalNumber0(esk11_0)
    & sdtpldt0(xm,esk11_0) = xp
    & sdtlseqdt0(xm,xp) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2287])])])]) ).

cnf(c_0_63,hypothesis,
    ( sdtpldt0(xp,X1) != xm
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_64,hypothesis,
    sdtpldt0(xp,esk15_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_65,hypothesis,
    aNaturalNumber0(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_66,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_67,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,sz00) = X2
        | ~ aNaturalNumber0(X2) )
      & ( X2 = sdtpldt0(sz00,X2)
        | ~ aNaturalNumber0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).

fof(c_0_68,plain,
    ! [X4,X5,X6] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ~ aNaturalNumber0(X6)
      | sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

fof(c_0_69,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).

fof(c_0_70,hypothesis,
    ( aNaturalNumber0(esk13_0)
    & sdtpldt0(xr,esk13_0) = xk
    & aNaturalNumber0(esk14_0)
    & sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
    & doDivides0(xr,sdtasdt0(xn,xm)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2362])])])]) ).

cnf(c_0_71,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_72,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_73,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_74,hypothesis,
    xk = sdtasdt0(xr,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_75,hypothesis,
    aNaturalNumber0(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_76,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_77,plain,
    ( X1 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X2,X1) != sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_78,hypothesis,
    ( sdtpldt0(sdtasdt0(xp,xk),sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(xm,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_79,hypothesis,
    sdtasdt0(sdtpldt0(xp,xn),xk) = sdtasdt0(xn,sdtpldt0(xk,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]),c_0_29])]) ).

cnf(c_0_80,hypothesis,
    ( esk9_0 = sz00
    | sdtasdt0(xp,xk) != sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_36]),c_0_41])]),c_0_42]) ).

cnf(c_0_81,hypothesis,
    esk9_0 = xk,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_35])]) ).

cnf(c_0_82,hypothesis,
    xk != sz00,
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_83,plain,
    ( X1 = sz00
    | X2 = X3
    | ~ sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
    | ~ sdtlseqdt0(X3,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_59]),c_0_60]) ).

cnf(c_0_84,hypothesis,
    ( xn = sz00
    | X1 = xm
    | sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X1))
    | ~ sdtlseqdt0(xm,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_85,hypothesis,
    sdtlseqdt0(xn,xp),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_86,hypothesis,
    xn != xp,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_87,hypothesis,
    xk != xm,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_88,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_89,hypothesis,
    sdtlseqdt0(xp,xk),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_90,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_91,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_92,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_93,hypothesis,
    sdtpldt0(xr,esk13_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_94,hypothesis,
    aNaturalNumber0(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_95,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

cnf(c_0_96,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]),c_0_59]) ).

cnf(c_0_97,hypothesis,
    ( sdtasdt0(xr,sdtasdt0(esk12_0,X1)) = sdtasdt0(xk,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_74]),c_0_75]),c_0_76])]) ).

cnf(c_0_98,plain,
    ( sdtasdt0(X1,X2) = sz00
    | sdtasdt0(X1,sdtpldt0(X3,X2)) != sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_27]),c_0_59]),c_0_59]) ).

cnf(c_0_99,hypothesis,
    sdtasdt0(xn,sdtpldt0(xk,xm)) = sdtasdt0(xn,sdtpldt0(xm,xk)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_79]),c_0_35]),c_0_36]),c_0_29])]) ).

cnf(c_0_100,hypothesis,
    sdtasdt0(xp,xk) != sz00,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_101,hypothesis,
    ( xn = sz00
    | ~ sdtlseqdt0(xm,xk) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_35]),c_0_29]),c_0_36])]),c_0_82]),c_0_86]),c_0_87]) ).

cnf(c_0_102,hypothesis,
    ( sdtlseqdt0(X1,xk)
    | ~ sdtlseqdt0(X1,xp)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_36]),c_0_35])]) ).

cnf(c_0_103,hypothesis,
    sdtlseqdt0(xm,xp),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_104,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_105,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_73])]),c_0_92]) ).

cnf(c_0_106,hypothesis,
    ( sdtpldt0(xr,sdtpldt0(esk13_0,X1)) = sdtpldt0(xk,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_93]),c_0_94]),c_0_76])]) ).

cnf(c_0_107,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_108,hypothesis,
    sdtasdt0(xk,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_75]),c_0_76]),c_0_73])]) ).

cnf(c_0_109,hypothesis,
    sdtasdt0(xn,sdtpldt0(xm,xk)) != sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_28]),c_0_29]),c_0_35]),c_0_30])]),c_0_100]) ).

cnf(c_0_110,hypothesis,
    xn = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_30])]) ).

cnf(c_0_111,plain,
    ( sdtasdt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz00,X1),sz00)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_104]),c_0_73])]) ).

cnf(c_0_112,hypothesis,
    sdtpldt0(xk,sz00) = xk,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_93]),c_0_94]),c_0_76]),c_0_73])]) ).

cnf(c_0_113,hypothesis,
    sdtasdt0(sz00,xk) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_73]),c_0_35])]) ).

cnf(c_0_114,hypothesis,
    sdtasdt0(sz00,sdtpldt0(xm,xk)) != sz00,
    inference(rw,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_115,plain,
    ( sdtasdt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(sz00,sdtasdt0(sz00,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_104]),c_0_73])]) ).

cnf(c_0_116,hypothesis,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_113]),c_0_35]),c_0_73])]) ).

cnf(c_0_117,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_113]),c_0_116]),c_0_30]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM503+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n026.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 : Tue Jul  5 21:11:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/2.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.42  # Preprocessing time       : 0.027 s
% 0.23/2.42  
% 0.23/2.42  # Proof found!
% 0.23/2.42  # SZS status Theorem
% 0.23/2.42  # SZS output start CNFRefutation
% See solution above
% 0.23/2.42  # Proof object total steps             : 118
% 0.23/2.42  # Proof object clause steps            : 71
% 0.23/2.42  # Proof object formula steps           : 47
% 0.23/2.42  # Proof object conjectures             : 0
% 0.23/2.42  # Proof object clause conjectures      : 0
% 0.23/2.42  # Proof object formula conjectures     : 0
% 0.23/2.42  # Proof object initial clauses used    : 41
% 0.23/2.42  # Proof object initial formulas used   : 25
% 0.23/2.42  # Proof object generating inferences   : 27
% 0.23/2.42  # Proof object simplifying inferences  : 100
% 0.23/2.42  # Training examples: 0 positive, 0 negative
% 0.23/2.42  # Parsed axioms                        : 51
% 0.23/2.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/2.42  # Initial clauses                      : 247
% 0.23/2.42  # Removed in clause preprocessing      : 3
% 0.23/2.42  # Initial clauses in saturation        : 244
% 0.23/2.42  # Processed clauses                    : 3487
% 0.23/2.42  # ...of these trivial                  : 88
% 0.23/2.42  # ...subsumed                          : 1793
% 0.23/2.42  # ...remaining for further processing  : 1606
% 0.23/2.42  # Other redundant clauses eliminated   : 109
% 0.23/2.42  # Clauses deleted for lack of memory   : 0
% 0.23/2.42  # Backward-subsumed                    : 93
% 0.23/2.42  # Backward-rewritten                   : 546
% 0.23/2.42  # Generated clauses                    : 64771
% 0.23/2.42  # ...of the previous two non-trivial   : 63049
% 0.23/2.42  # Contextual simplify-reflections      : 633
% 0.23/2.42  # Paramodulations                      : 64586
% 0.23/2.42  # Factorizations                       : 10
% 0.23/2.42  # Equation resolutions                 : 171
% 0.23/2.42  # Current number of processed clauses  : 962
% 0.23/2.42  #    Positive orientable unit clauses  : 137
% 0.23/2.42  #    Positive unorientable unit clauses: 0
% 0.23/2.42  #    Negative unit clauses             : 64
% 0.23/2.42  #    Non-unit-clauses                  : 761
% 0.23/2.42  # Current number of unprocessed clauses: 24896
% 0.23/2.42  # ...number of literals in the above   : 148421
% 0.23/2.42  # Current number of archived formulas  : 0
% 0.23/2.42  # Current number of archived clauses   : 643
% 0.23/2.42  # Clause-clause subsumption calls (NU) : 531770
% 0.23/2.42  # Rec. Clause-clause subsumption calls : 115995
% 0.23/2.42  # Non-unit clause-clause subsumptions  : 1547
% 0.23/2.42  # Unit Clause-clause subsumption calls : 23632
% 0.23/2.42  # Rewrite failures with RHS unbound    : 0
% 0.23/2.42  # BW rewrite match attempts            : 55
% 0.23/2.42  # BW rewrite match successes           : 45
% 0.23/2.42  # Condensation attempts                : 0
% 0.23/2.42  # Condensation successes               : 0
% 0.23/2.42  # Termbank termtop insertions          : 1994817
% 0.23/2.42  
% 0.23/2.42  # -------------------------------------------------
% 0.23/2.42  # User time                : 1.170 s
% 0.23/2.42  # System time              : 0.020 s
% 0.23/2.42  # Total time               : 1.190 s
% 0.23/2.42  # Maximum resident set size: 58848 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: CPU time limit exceeded, terminating
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51  eprover: No such file or directory
% 0.23/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------