TSTP Solution File: NUM473+1 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.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 09:32:49 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  135 (  37 unt;   0 def)
%            Number of atoms       :  469 ( 156 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  576 ( 242   ~; 255   |;  52   &)
%                                         (   3 <=>;  24  =>;   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;   7 con; 0-2 aty)
%            Number of variables   :  170 (   3 sgn  79   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefQuot) ).

fof(m__1379,hypothesis,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1379) ).

fof(m__1324_04,hypothesis,
    ( doDivides0(xl,xm)
    & doDivides0(xl,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1324_04) ).

fof(m__1324,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1324) ).

fof(m__1347,hypothesis,
    xl != sz00,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1347) ).

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

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtlseqdt0(X1,X2)
       => ! [X3] :
            ( X3 = sdtmndt0(X2,X1)
          <=> ( aNaturalNumber0(X3)
              & sdtpldt0(X1,X3) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefDiff) ).

fof(mDefLE,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtlseqdt0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & sdtpldt0(X1,X3) = X2 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefLE) ).

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

fof(m__1360,hypothesis,
    xp = sdtsldt0(xm,xl),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1360) ).

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_MulUnit,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m_MulUnit) ).

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(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(mSortsC_01,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSortsC_01) ).

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

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

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

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(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(m__,conjecture,
    sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(mMonMul2,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( X1 != sz00
       => sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMonMul2) ).

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(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(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(m__1409,hypothesis,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1409) ).

fof(c_0_26,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_27,plain,
    ( X2 = sz00
    | X1 = sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_28,hypothesis,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_29,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_30,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_31,hypothesis,
    xl != sz00,
    inference(split_conjunct,[status(thm)],[m__1347]) ).

fof(c_0_32,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_33,plain,
    ! [X4,X5,X6,X6] :
      ( ( aNaturalNumber0(X6)
        | X6 != sdtmndt0(X5,X4)
        | ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( sdtpldt0(X4,X6) = X5
        | X6 != sdtmndt0(X5,X4)
        | ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X6)
        | sdtpldt0(X4,X6) != X5
        | X6 = sdtmndt0(X5,X4)
        | ~ sdtlseqdt0(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)],[mDefDiff])])])])])]) ).

fof(c_0_34,plain,
    ! [X4,X5,X7] :
      ( ( aNaturalNumber0(esk1_2(X4,X5))
        | ~ sdtlseqdt0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( sdtpldt0(X4,esk1_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_35,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])])]) ).

cnf(c_0_36,plain,
    ( X2 = sz00
    | aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,hypothesis,
    xp = sdtsldt0(xm,xl),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

cnf(c_0_38,hypothesis,
    doDivides0(xl,xm),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_39,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_40,hypothesis,
    ( sdtasdt0(xl,X1) = sdtpldt0(xm,xn)
    | X1 != xq
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(sr,[status(thm)],[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])]),c_0_31]) ).

cnf(c_0_41,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

fof(c_0_43,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_44,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])])]) ).

cnf(c_0_45,plain,
    ( X3 = sdtmndt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | sdtpldt0(X2,X3) != X1
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X2,X3) != X1
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

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,plain,
    ( sdtlseqdt0(X2,X1)
    | sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_49,hypothesis,
    ( aNaturalNumber0(X1)
    | X1 != xp ),
    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_36,c_0_37]),c_0_38]),c_0_30]),c_0_39])]),c_0_31]) ).

fof(c_0_50,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])])]) ).

cnf(c_0_51,hypothesis,
    ( sdtasdt0(xl,X1) = xm
    | X1 != xp ),
    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_27,c_0_37]),c_0_38]),c_0_30]),c_0_39])]),c_0_31]) ).

cnf(c_0_52,hypothesis,
    ( sdtasdt0(xl,X1) = sdtpldt0(xm,xn)
    | X1 != xq ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_39])]) ).

cnf(c_0_53,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_54,plain,
    ( X1 = sdtasdt0(sz10,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,plain,
    aNaturalNumber0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_56,plain,
    ( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
    | X1 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_57,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_58,plain,
    ( X1 = sdtmndt0(X2,X3)
    | sdtpldt0(X3,X1) != X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_59,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_60,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

fof(c_0_61,plain,
    ! [X2] :
      ( ~ aNaturalNumber0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).

cnf(c_0_62,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | X1 != xp
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_63,plain,
    ! [X4,X5,X6] :
      ( ( sdtpldt0(X4,X5) != sdtpldt0(X4,X6)
        | X5 = X6
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) )
      & ( sdtpldt0(X5,X4) != sdtpldt0(X6,X4)
        | X5 = X6
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5)
        | ~ aNaturalNumber0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).

cnf(c_0_64,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_50]) ).

cnf(c_0_65,hypothesis,
    ( sdtpldt0(xm,xn) = xm
    | X1 != xp
    | X1 != xq ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_66,plain,
    ( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_67,hypothesis,
    sdtasdt0(xl,xp) = xm,
    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_56,c_0_37]),c_0_38]),c_0_30]),c_0_39])]),c_0_31]) ).

cnf(c_0_68,hypothesis,
    aNaturalNumber0(xp),
    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_57,c_0_37]),c_0_38]),c_0_30]),c_0_39])]),c_0_31]) ).

fof(c_0_69,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

cnf(c_0_70,hypothesis,
    ( aNaturalNumber0(X1)
    | X1 != xq
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

fof(c_0_71,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_72,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_73,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_74,plain,
    ( sdtpldt0(X2,X3) = X1
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | X3 != sdtmndt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_75,plain,
    ( sdtmndt0(X1,X1) = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])])]) ).

cnf(c_0_76,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_77,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | X2 != xp
    | X1 != xp ),
    inference(spm,[status(thm)],[c_0_62,c_0_49]) ).

cnf(c_0_78,plain,
    ( X2 = X1
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_79,plain,
    ( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtasdt0(sz10,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_54]),c_0_55])]) ).

cnf(c_0_80,hypothesis,
    ( sdtpldt0(xm,xn) = xm
    | xq != xp ),
    inference(er,[status(thm)],[c_0_65]) ).

cnf(c_0_81,hypothesis,
    sdtasdt0(sz10,xm) = xm,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_30])]) ).

cnf(c_0_82,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_83,hypothesis,
    ( aNaturalNumber0(X1)
    | X1 != xq ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_41]),c_0_42]),c_0_39])]) ).

cnf(c_0_84,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_85,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_72]),c_0_60])])]) ).

cnf(c_0_86,hypothesis,
    ( sdtlseqdt0(xn,X1)
    | sdtlseqdt0(X1,xn)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_42]) ).

fof(c_0_87,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

cnf(c_0_88,plain,
    ( sdtpldt0(X1,X2) = X1
    | X2 != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

cnf(c_0_89,hypothesis,
    ( sdtlseqdt0(xp,X1)
    | sdtlseqdt0(X1,xp)
    | X1 != xp ),
    inference(er,[status(thm)],[c_0_77]) ).

fof(c_0_90,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | X3 = sz00
      | sdtlseqdt0(X4,sdtasdt0(X4,X3)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).

fof(c_0_91,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_92,plain,
    ( X1 = sz00
    | sdtpldt0(X2,X1) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_59]),c_0_60])]) ).

cnf(c_0_93,hypothesis,
    ( sdtpldt0(xm,sdtasdt0(sz10,xn)) = xm
    | xq != xp ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_39]),c_0_42])]) ).

cnf(c_0_94,hypothesis,
    ( aNaturalNumber0(sdtpldt0(xm,xn))
    | X1 != xq ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_52]),c_0_30])]),c_0_83]) ).

cnf(c_0_95,plain,
    ( X1 = sz00
    | ~ sdtlseqdt0(X1,sz00)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_60])]) ).

cnf(c_0_96,hypothesis,
    ( sdtlseqdt0(sz00,xn)
    | sdtlseqdt0(xn,sz00) ),
    inference(spm,[status(thm)],[c_0_86,c_0_60]) ).

cnf(c_0_97,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_98,hypothesis,
    ( xq = xp
    | xn != sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_88]),c_0_37]),c_0_39])]) ).

cnf(c_0_99,hypothesis,
    sdtlseqdt0(xp,xp),
    inference(er,[status(thm)],[c_0_89]) ).

fof(c_0_100,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])]) ).

cnf(c_0_101,plain,
    ( sdtlseqdt0(X1,sdtasdt0(X1,X2))
    | X2 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_102,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_103,hypothesis,
    ( sdtasdt0(sz10,xn) = sz00
    | xq != xp
    | ~ aNaturalNumber0(sdtasdt0(sz10,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_39])]) ).

cnf(c_0_104,hypothesis,
    aNaturalNumber0(sdtpldt0(xm,xn)),
    inference(er,[status(thm)],[c_0_94]) ).

cnf(c_0_105,hypothesis,
    ( xn = sz00
    | sdtlseqdt0(sz00,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_42])]) ).

cnf(c_0_106,negated_conjecture,
    xn != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).

cnf(c_0_107,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_108,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_109,hypothesis,
    ( sdtasdt0(sz10,xn) = sz00
    | xq != xp ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_82]),c_0_42]),c_0_55])]) ).

cnf(c_0_110,plain,
    sz10 != sz00,
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_111,hypothesis,
    sdtasdt0(xl,xq) = sdtpldt0(xm,xn),
    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_56,c_0_28]),c_0_29]),c_0_30]),c_0_104])]),c_0_31]) ).

cnf(c_0_112,hypothesis,
    aNaturalNumber0(xq),
    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_57,c_0_28]),c_0_29]),c_0_30]),c_0_104])]),c_0_31]) ).

fof(c_0_113,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_114,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | X2 != xp
    | X1 != xq ),
    inference(spm,[status(thm)],[c_0_62,c_0_83]) ).

cnf(c_0_115,hypothesis,
    sdtlseqdt0(sz00,xn),
    inference(sr,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_116,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X1,sz00)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_85]),c_0_60])]) ).

cnf(c_0_117,hypothesis,
    ( sdtlseqdt0(xn,sz00)
    | xq != xp ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_55]),c_0_42])]),c_0_110]) ).

cnf(c_0_118,plain,
    ( sdtasdt0(X1,X2) = sz00
    | sdtasdt0(X1,sdtpldt0(X3,X2)) != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_64]),c_0_82]),c_0_82]) ).

cnf(c_0_119,hypothesis,
    sdtasdt0(sz10,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_111]),c_0_112]),c_0_30])]) ).

cnf(c_0_120,hypothesis,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    inference(split_conjunct,[status(thm)],[m__1409]) ).

cnf(c_0_121,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_113]) ).

cnf(c_0_122,hypothesis,
    ( sdtlseqdt0(xp,X1)
    | sdtlseqdt0(X1,xp)
    | X1 != xq ),
    inference(er,[status(thm)],[c_0_114]) ).

cnf(c_0_123,hypothesis,
    ~ sdtlseqdt0(xn,sz00),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_115]),c_0_60]),c_0_42])]),c_0_106]) ).

cnf(c_0_124,hypothesis,
    ( sdtlseqdt0(xn,X1)
    | xq != xp
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_42])]) ).

cnf(c_0_125,hypothesis,
    ( sdtasdt0(sz10,xn) = sz00
    | sdtpldt0(xm,xn) != xm ),
    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_118,c_0_119]),c_0_81]),c_0_55]),c_0_39]),c_0_42])]) ).

cnf(c_0_126,hypothesis,
    ( sdtpldt0(xm,xn) = xm
    | ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_120]),c_0_39])]) ).

cnf(c_0_127,hypothesis,
    ( xp = X1
    | sdtlseqdt0(sdtasdt0(xl,X1),xm)
    | ~ sdtlseqdt0(X1,xp)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_67]),c_0_30]),c_0_68])]),c_0_31]) ).

cnf(c_0_128,hypothesis,
    sdtlseqdt0(xq,xp),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_122]),c_0_97]) ).

cnf(c_0_129,hypothesis,
    xq != xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_60])]) ).

cnf(c_0_130,hypothesis,
    ( sdtlseqdt0(xn,sz00)
    | sdtpldt0(xm,xn) != xm ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_125]),c_0_55]),c_0_42])]),c_0_110]) ).

cnf(c_0_131,hypothesis,
    ( sdtpldt0(xm,xn) = xm
    | ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_104])]) ).

cnf(c_0_132,hypothesis,
    sdtlseqdt0(sdtpldt0(xm,xn),xm),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_111]),c_0_128]),c_0_112])]),c_0_129]) ).

cnf(c_0_133,hypothesis,
    sdtpldt0(xm,xn) != xm,
    inference(spm,[status(thm)],[c_0_123,c_0_130]) ).

cnf(c_0_134,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]),c_0_133]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul  5 02:30:22 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/1.43  # Preprocessing time       : 0.018 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 135
% 0.25/1.43  # Proof object clause steps            : 90
% 0.25/1.43  # Proof object formula steps           : 45
% 0.25/1.43  # Proof object conjectures             : 5
% 0.25/1.43  # Proof object clause conjectures      : 2
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 33
% 0.25/1.43  # Proof object initial formulas used   : 26
% 0.25/1.43  # Proof object generating inferences   : 53
% 0.25/1.43  # Proof object simplifying inferences  : 127
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 40
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 67
% 0.25/1.43  # Removed in clause preprocessing      : 3
% 0.25/1.43  # Initial clauses in saturation        : 64
% 0.25/1.43  # Processed clauses                    : 5276
% 0.25/1.43  # ...of these trivial                  : 103
% 0.25/1.43  # ...subsumed                          : 3713
% 0.25/1.43  # ...remaining for further processing  : 1460
% 0.25/1.43  # Other redundant clauses eliminated   : 183
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 132
% 0.25/1.43  # Backward-rewritten                   : 73
% 0.25/1.43  # Generated clauses                    : 52279
% 0.25/1.43  # ...of the previous two non-trivial   : 49208
% 0.25/1.43  # Contextual simplify-reflections      : 1919
% 0.25/1.43  # Paramodulations                      : 51892
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 382
% 0.25/1.43  # Current number of processed clauses  : 1249
% 0.25/1.43  #    Positive orientable unit clauses  : 88
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 36
% 0.25/1.43  #    Non-unit-clauses                  : 1125
% 0.25/1.43  # Current number of unprocessed clauses: 42312
% 0.25/1.43  # ...number of literals in the above   : 280563
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 210
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 587859
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 163037
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 3494
% 0.25/1.43  # Unit Clause-clause subsumption calls : 7210
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 33
% 0.25/1.43  # BW rewrite match successes           : 33
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 1007341
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.790 s
% 0.25/1.43  # System time              : 0.021 s
% 0.25/1.43  # Total time               : 0.811 s
% 0.25/1.43  # Maximum resident set size: 45512 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.peprover: No such file or directory
% 0.25/23.45  
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------