TSTP Solution File: NUM469+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 09:32:46 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   69 (  18 unt;   0 def)
%            Number of atoms       :  214 (  62 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  255 ( 110   ~; 109   |;  23   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   78 (   1 sgn  36   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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.mepo_128.in',mDefDiv) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).

fof(m__,conjecture,
    doDivides0(xl,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__1298,hypothesis,
    ( xl != sz00
   => sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1298) ).

fof(m_MulZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_MulZero) ).

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.mepo_128.in',mDivTrans) ).

fof(m__1240,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1240) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).

fof(mDefQuot,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != sz00
          & doDivides0(X1,X2) )
       => ! [X3] :
            ( X3 = sdtsldt0(X2,X1)
          <=> ( aNaturalNumber0(X3)
              & X2 = sdtasdt0(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefQuot) ).

fof(mSortsC,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC) ).

fof(m__1240_04,hypothesis,
    ( doDivides0(xl,xm)
    & doDivides0(xl,xn) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1240_04) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).

fof(m_AddZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m_AddZero) ).

fof(c_0_13,plain,
    ! [X4,X5,X7] :
      ( ( aNaturalNumber0(esk1_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( X5 = sdtasdt0(X4,esk1_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])])])])])])]) ).

fof(c_0_14,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_15,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    inference(assume_negation,[status(cth)],[m__]) ).

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_13]) ).

cnf(c_0_17,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,hypothesis,
    ( xl = sz00
    | sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
    inference(fof_nnf,[status(thm)],[m__1298]) ).

fof(c_0_19,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_20,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_21,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_22,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).

cnf(c_0_23,hypothesis,
    ( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
    | xl = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1240]) ).

cnf(c_0_25,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_26,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_27,plain,
    ! [X4,X5,X6,X6] :
      ( ( aNaturalNumber0(X6)
        | X6 != sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( X5 = sdtasdt0(X4,X6)
        | X6 != sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X6)
        | X5 != sdtasdt0(X4,X6)
        | X6 = sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) ) ),
    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)],[mDefQuot])])])])])]) ).

cnf(c_0_28,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( X1 = sdtasdt0(X2,esk1_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_30,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_31,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,hypothesis,
    doDivides0(xl,xn),
    inference(split_conjunct,[status(thm)],[m__1240_04]) ).

cnf(c_0_33,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1240]) ).

cnf(c_0_34,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_35,hypothesis,
    ( sz00 = xl
    | ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_36,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( X2 = sz00
    | aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,hypothesis,
    doDivides0(xl,xm),
    inference(split_conjunct,[status(thm)],[m__1240_04]) ).

cnf(c_0_39,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1240]) ).

cnf(c_0_40,plain,
    ( X1 = sz00
    | ~ doDivides0(sz00,X1)
    | ~ aNaturalNumber0(esk1_2(sz00,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_41,plain,
    ( aNaturalNumber0(esk1_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_42,hypothesis,
    ( doDivides0(X1,xn)
    | ~ doDivides0(X1,xl)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24]),c_0_33])]) ).

cnf(c_0_43,plain,
    ( doDivides0(X1,X2)
    | X2 != sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_30])]) ).

cnf(c_0_44,hypothesis,
    ( sz00 = xl
    | ~ aNaturalNumber0(sdtsldt0(xn,xl))
    | ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_37]) ).

fof(c_0_46,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_47,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])])]) ).

cnf(c_0_48,hypothesis,
    ( doDivides0(X1,xm)
    | ~ doDivides0(X1,xl)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_24]),c_0_39])]) ).

cnf(c_0_49,plain,
    ( X1 = sz00
    | ~ doDivides0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_30])]) ).

cnf(c_0_50,hypothesis,
    ( doDivides0(X1,xn)
    | sz00 != xl
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_24])]) ).

cnf(c_0_51,hypothesis,
    ( sz00 = xl
    | ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_32]),c_0_24]),c_0_33])]) ).

cnf(c_0_52,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,hypothesis,
    ( doDivides0(X1,xm)
    | sz00 != xl
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_43]),c_0_24])]) ).

cnf(c_0_56,hypothesis,
    ( sz00 = xn
    | sz00 != xl ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33]),c_0_30])]) ).

cnf(c_0_57,hypothesis,
    sz00 = xl,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_38]),c_0_24]),c_0_39])]) ).

cnf(c_0_58,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_30])]) ).

cnf(c_0_59,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_54,c_0_52]),c_0_30])]),c_0_36]) ).

cnf(c_0_60,negated_conjecture,
    ( sdtpldt0(xm,xn) != sz00
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_43]),c_0_24])]) ).

cnf(c_0_61,hypothesis,
    ( sz00 = xm
    | sz00 != xl ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_39]),c_0_30])]) ).

cnf(c_0_62,hypothesis,
    xl = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_57])]) ).

cnf(c_0_63,plain,
    ( sdtpldt0(sz00,X1) = sdtpldt0(X1,sz00)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_30])]) ).

cnf(c_0_64,negated_conjecture,
    sdtpldt0(xm,xn) != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_36]),c_0_33]),c_0_39])]) ).

cnf(c_0_65,hypothesis,
    xn = xm,
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_57]),c_0_57])]),c_0_62]) ).

cnf(c_0_66,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_63]),c_0_30])]) ).

cnf(c_0_67,negated_conjecture,
    sdtpldt0(xm,xm) != xm,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_57]),c_0_65]),c_0_62]),c_0_65]) ).

cnf(c_0_68,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_57]),c_0_57]),c_0_57]),c_0_62]),c_0_65]),c_0_62]),c_0_65]),c_0_62]),c_0_65]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n008.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 : Tue Jul  5 08:27:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.017 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 69
% 0.21/1.40  # Proof object clause steps            : 45
% 0.21/1.40  # Proof object formula steps           : 24
% 0.21/1.40  # Proof object conjectures             : 7
% 0.21/1.40  # Proof object clause conjectures      : 4
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 20
% 0.21/1.40  # Proof object initial formulas used   : 13
% 0.21/1.40  # Proof object generating inferences   : 21
% 0.21/1.40  # Proof object simplifying inferences  : 69
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 36
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 6
% 0.21/1.40  # Initial clauses                      : 52
% 0.21/1.40  # Removed in clause preprocessing      : 1
% 0.21/1.40  # Initial clauses in saturation        : 51
% 0.21/1.40  # Processed clauses                    : 368
% 0.21/1.40  # ...of these trivial                  : 5
% 0.21/1.40  # ...subsumed                          : 185
% 0.21/1.40  # ...remaining for further processing  : 177
% 0.21/1.40  # Other redundant clauses eliminated   : 12
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 15
% 0.21/1.40  # Backward-rewritten                   : 110
% 0.21/1.40  # Generated clauses                    : 1722
% 0.21/1.40  # ...of the previous two non-trivial   : 1672
% 0.21/1.40  # Contextual simplify-reflections      : 58
% 0.21/1.40  # Paramodulations                      : 1695
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 27
% 0.21/1.40  # Current number of processed clauses  : 51
% 0.21/1.40  #    Positive orientable unit clauses  : 5
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 2
% 0.21/1.40  #    Non-unit-clauses                  : 44
% 0.21/1.40  # Current number of unprocessed clauses: 487
% 0.21/1.40  # ...number of literals in the above   : 3054
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 125
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 4679
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 1658
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 248
% 0.21/1.40  # Unit Clause-clause subsumption calls : 58
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 5
% 0.21/1.40  # BW rewrite match successes           : 5
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 31311
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.067 s
% 0.21/1.40  # System time              : 0.001 s
% 0.21/1.40  # Total time               : 0.068 s
% 0.21/1.40  # Maximum resident set size: 4400 pages
%------------------------------------------------------------------------------