TSTP Solution File: NUM471+2 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM471+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 09:32:47 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   76 (  36 unt;   0 def)
%            Number of atoms       :  242 (  79 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  269 ( 103   ~; 106   |;  45   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn  40   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1324_04,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & xm = sdtasdt0(xl,X1) )
    & doDivides0(xl,xm)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
    & doDivides0(xl,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1324_04) ).

fof(m__1379,hypothesis,
    ( aNaturalNumber0(xq)
    & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    & xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1379) ).

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

fof(mLETotal,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | ( X2 != X1
          & sdtlseqdt0(X2,X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETotal) ).

fof(m__,conjecture,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xp,X1) = xq )
    | sdtlseqdt0(xp,xq) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

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

fof(m__1324,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1324) ).

fof(m__1347,hypothesis,
    xl != sz00,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1347) ).

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

fof(m__1360,hypothesis,
    ( aNaturalNumber0(xp)
    & xm = sdtasdt0(xl,xp)
    & xp = sdtsldt0(xm,xl) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1360) ).

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

fof(mDefLE,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtlseqdt0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & sdtpldt0(X1,X3) = X2 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefLE) ).

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(mLEAsym,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEAsym) ).

fof(c_0_16,hypothesis,
    ( aNaturalNumber0(esk1_0)
    & xm = sdtasdt0(xl,esk1_0)
    & doDivides0(xl,xm)
    & aNaturalNumber0(esk2_0)
    & sdtpldt0(xm,xn) = sdtasdt0(xl,esk2_0)
    & doDivides0(xl,sdtpldt0(xm,xn)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__1324_04])])])]) ).

cnf(c_0_17,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_18,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

fof(c_0_19,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

fof(c_0_20,plain,
    ! [X3,X4] :
      ( ( X4 != X3
        | sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) )
      & ( sdtlseqdt0(X4,X3)
        | sdtlseqdt0(X3,X4)
        | ~ aNaturalNumber0(X3)
        | ~ aNaturalNumber0(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).

fof(c_0_21,negated_conjecture,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtpldt0(xp,X1) = xq )
      | sdtlseqdt0(xp,xq) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_22,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_23,hypothesis,
    sdtasdt0(xl,xq) = sdtasdt0(xl,esk2_0),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_26,hypothesis,
    aNaturalNumber0(xq),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_27,plain,
    ( sdtlseqdt0(X2,X1)
    | sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_28,negated_conjecture,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | sdtpldt0(xp,X2) != xq )
      & ~ sdtlseqdt0(xp,xq) ),
    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)],[c_0_21])])])])]) ).

cnf(c_0_29,plain,
    ( X1 = sz00
    | X3 = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    xm = sdtasdt0(xl,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_31,hypothesis,
    aNaturalNumber0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_32,hypothesis,
    xl != sz00,
    inference(split_conjunct,[status(thm)],[m__1347]) ).

fof(c_0_33,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_34,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_35,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])])]) ).

cnf(c_0_36,hypothesis,
    sdtasdt0(xl,esk2_0) = sdtasdt0(xq,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_37,hypothesis,
    aNaturalNumber0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_38,hypothesis,
    ( sdtlseqdt0(xq,X1)
    | sdtlseqdt0(X1,xq)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_39,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

cnf(c_0_40,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,hypothesis,
    ( X1 = esk1_0
    | sdtasdt0(xl,X1) != xm
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_25])]),c_0_32]) ).

cnf(c_0_42,hypothesis,
    xm = sdtasdt0(xl,xp),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

cnf(c_0_43,negated_conjecture,
    ( sdtpldt0(xp,X1) != xq
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_44,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

fof(c_0_46,plain,
    ! [X4,X5,X7] :
      ( ( aNaturalNumber0(esk4_2(X4,X5))
        | ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( sdtpldt0(X4,esk4_2(X4,X5)) = X5
        | ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X7)
        | sdtpldt0(X4,X7) != X5
        | sdtlseqdt0(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)],[mDefLE])])])])])])]) ).

fof(c_0_47,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).

cnf(c_0_48,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,esk2_0),
    inference(rw,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_49,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_50,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_35]) ).

cnf(c_0_51,hypothesis,
    sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
    inference(rw,[status(thm)],[c_0_23,c_0_36]) ).

cnf(c_0_52,hypothesis,
    sdtasdt0(xq,xl) = sdtasdt0(esk2_0,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_37]),c_0_25])]) ).

cnf(c_0_53,hypothesis,
    sdtlseqdt0(xq,xp),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_54,hypothesis,
    xp = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39])]) ).

cnf(c_0_55,negated_conjecture,
    xq != xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_39])]) ).

cnf(c_0_56,plain,
    ( sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X2,X3) != X1
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_58,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xq,xl),
    inference(rw,[status(thm)],[c_0_48,c_0_36]) ).

cnf(c_0_59,hypothesis,
    aNaturalNumber0(sdtasdt0(xl,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_23]),c_0_26]),c_0_25])]) ).

fof(c_0_60,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])]) ).

cnf(c_0_61,hypothesis,
    ( esk1_0 = X1
    | sdtlseqdt0(sdtasdt0(xl,X1),xm)
    | ~ sdtlseqdt0(X1,esk1_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_50,c_0_30]),c_0_25]),c_0_31])]),c_0_32]) ).

cnf(c_0_62,hypothesis,
    sdtasdt0(xl,xq) = sdtasdt0(esk2_0,xl),
    inference(rw,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_63,hypothesis,
    sdtlseqdt0(xq,esk1_0),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    xq != esk1_0,
    inference(rw,[status(thm)],[c_0_55,c_0_54]) ).

cnf(c_0_65,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]),c_0_57]) ).

cnf(c_0_66,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(esk2_0,xl),
    inference(rw,[status(thm)],[c_0_58,c_0_52]) ).

cnf(c_0_67,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_68,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_69,hypothesis,
    aNaturalNumber0(sdtasdt0(xq,xl)),
    inference(rw,[status(thm)],[c_0_59,c_0_36]) ).

cnf(c_0_70,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_71,hypothesis,
    sdtlseqdt0(sdtasdt0(esk2_0,xl),xm),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_26])]),c_0_64]) ).

cnf(c_0_72,hypothesis,
    sdtlseqdt0(xm,sdtasdt0(esk2_0,xl)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68])]) ).

cnf(c_0_73,hypothesis,
    aNaturalNumber0(sdtasdt0(esk2_0,xl)),
    inference(rw,[status(thm)],[c_0_69,c_0_52]) ).

cnf(c_0_74,hypothesis,
    sdtasdt0(esk2_0,xl) != xm,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_62]),c_0_26])]),c_0_64]) ).

cnf(c_0_75,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73]),c_0_68])]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM471+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 06:42:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.018 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             : 76
% 0.24/1.42  # Proof object clause steps            : 48
% 0.24/1.42  # Proof object formula steps           : 28
% 0.24/1.42  # Proof object conjectures             : 7
% 0.24/1.42  # Proof object clause conjectures      : 4
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 24
% 0.24/1.42  # Proof object initial formulas used   : 16
% 0.24/1.42  # Proof object generating inferences   : 14
% 0.24/1.42  # Proof object simplifying inferences  : 49
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 39
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 6
% 0.24/1.42  # Initial clauses                      : 64
% 0.24/1.42  # Removed in clause preprocessing      : 1
% 0.24/1.42  # Initial clauses in saturation        : 63
% 0.24/1.42  # Processed clauses                    : 1542
% 0.24/1.42  # ...of these trivial                  : 31
% 0.24/1.42  # ...subsumed                          : 805
% 0.24/1.42  # ...remaining for further processing  : 706
% 0.24/1.42  # Other redundant clauses eliminated   : 27
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 59
% 0.24/1.42  # Backward-rewritten                   : 154
% 0.24/1.42  # Generated clauses                    : 11625
% 0.24/1.42  # ...of the previous two non-trivial   : 11175
% 0.24/1.42  # Contextual simplify-reflections      : 396
% 0.24/1.42  # Paramodulations                      : 11568
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 54
% 0.24/1.42  # Current number of processed clauses  : 489
% 0.24/1.42  #    Positive orientable unit clauses  : 64
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 29
% 0.24/1.42  #    Non-unit-clauses                  : 396
% 0.24/1.42  # Current number of unprocessed clauses: 8534
% 0.24/1.42  # ...number of literals in the above   : 48776
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 216
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 76019
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 31286
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 1037
% 0.24/1.42  # Unit Clause-clause subsumption calls : 3061
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 13
% 0.24/1.42  # BW rewrite match successes           : 12
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 205245
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.246 s
% 0.24/1.42  # System time              : 0.010 s
% 0.24/1.42  # Total time               : 0.256 s
% 0.24/1.42  # Maximum resident set size: 12056 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  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
% 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
% 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
% 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
% 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
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 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
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------