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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM495+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:18 PM UTC 2026

% Result   : Theorem 1.85s 0.87s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (  16 unt;   0 def)
%            Number of atoms       : 1469 ( 476 equ)
%            Maximal formula atoms : 1287 (  34 avg)
%            Number of connectives : 2224 ( 797   ~;1209   |; 203   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  138 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :   54 (   0 sgn  28   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2062,hypothesis,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X1] :
        ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp)
        & aNaturalNumber0(X1) )
    & sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2062) ).

fof(mIH_03,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2 )
       => iLess0(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).

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

fof(m__1799,hypothesis,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X3)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( ( doDivides0(X3,sdtasdt0(X1,X2))
            | ? [X4] :
                ( sdtasdt0(X1,X2) = sdtasdt0(X3,X4)
                & aNaturalNumber0(X4) ) )
          & ( isPrime0(X3)
            | ( ! [X4] :
                  ( ( doDivides0(X4,X3)
                    & ? [X5] :
                        ( X3 = sdtasdt0(X4,X5)
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X4) )
                 => ( X4 = X3
                    | X4 = sz10 ) )
              & X3 != sz10
              & X3 != sz00 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X3,X2)
              & ? [X4] :
                  ( X2 = sdtasdt0(X3,X4)
                  & aNaturalNumber0(X4) ) )
            | ( doDivides0(X3,X1)
              & ? [X4] :
                  ( X1 = sdtasdt0(X3,X4)
                  & aNaturalNumber0(X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).

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

fof(m__1913,hypothesis,
    ( doDivides0(xp,sdtasdt0(xr,xm))
    & ? [X1] :
        ( sdtasdt0(xr,xm) = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1913) ).

fof(m__,conjecture,
    ( doDivides0(xp,xm)
    | ? [X1] :
        ( xm = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) )
    | doDivides0(xp,xr)
    | ? [X1] :
        ( xr = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__1883,hypothesis,
    ( xr = sdtmndt0(xn,xp)
    & sdtpldt0(xp,xr) = xn
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

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

fof(c_0_9,hypothesis,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X1] :
        ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp)
        & aNaturalNumber0(X1) )
    & sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
    inference(fof_simplification,[status(thm)],[m__2062]) ).

fof(c_0_10,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2 )
       => iLess0(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[mIH_03]) ).

fof(c_0_11,plain,
    ! [X7,X8] :
      ( aNaturalNumber0(sdtpldt0(X7,X8))
      | ~ aNaturalNumber0(X8)
      | ~ aNaturalNumber0(X7) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

fof(c_0_12,hypothesis,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
    & aNaturalNumber0(esk13_0)
    & sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])]) ).

fof(c_0_13,hypothesis,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X3)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( ( doDivides0(X3,sdtasdt0(X1,X2))
            | ? [X4] :
                ( sdtasdt0(X1,X2) = sdtasdt0(X3,X4)
                & aNaturalNumber0(X4) ) )
          & ( isPrime0(X3)
            | ( ! [X4] :
                  ( ( doDivides0(X4,X3)
                    & ? [X5] :
                        ( X3 = sdtasdt0(X4,X5)
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X4) )
                 => ( X4 = X3
                    | X4 = sz10 ) )
              & X3 != sz10
              & X3 != sz00 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X3,X2)
              & ? [X4] :
                  ( X2 = sdtasdt0(X3,X4)
                  & aNaturalNumber0(X4) ) )
            | ( doDivides0(X3,X1)
              & ? [X4] :
                  ( X1 = sdtasdt0(X3,X4)
                  & aNaturalNumber0(X4) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[m__1799]) ).

fof(c_0_14,plain,
    ! [X63,X64] :
      ( iLess0(X63,X64)
      | ~ sdtlseqdt0(X63,X64)
      | X63 = X64
      | ~ aNaturalNumber0(X64)
      | ~ aNaturalNumber0(X63) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

cnf(c_0_15,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,hypothesis,
    sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,hypothesis,
    aNaturalNumber0(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,hypothesis,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X1] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X1)
        & aNaturalNumber0(X1) )
    & isPrime0(xp)
    & ! [X1] :
        ( ( ( doDivides0(X1,xp)
            | ? [X2] :
                ( xp = sdtasdt0(X1,X2)
                & aNaturalNumber0(X2) ) )
          & aNaturalNumber0(X1) )
       => ( X1 = xp
          | X1 = sz10 ) )
    & xp != sz10
    & xp != sz00 ),
    inference(fof_simplification,[status(thm)],[m__1860]) ).

fof(c_0_19,hypothesis,
    ( doDivides0(xp,sdtasdt0(xr,xm))
    & sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0)
    & aNaturalNumber0(esk12_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1913])]) ).

fof(c_0_20,negated_conjecture,
    ~ ( doDivides0(xp,xm)
      | ? [X1] :
          ( xm = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) )
      | doDivides0(xp,xr)
      | ? [X1] :
          ( xr = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_21,hypothesis,
    ! [X91,X92,X93,X96] :
      ( ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | ~ isPrime0(X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != X93
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | esk5_3(X91,X92,X93) != sz10
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | doDivides0(X93,X91)
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | doDivides0(X93,X92) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | X92 = sdtasdt0(X93,esk8_3(X91,X92,X93)) )
      & ( ~ aNaturalNumber0(X93)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X91)
        | X93 = sz10
        | X93 = sz00
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ aNaturalNumber0(X96)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | aNaturalNumber0(esk8_3(X91,X92,X93)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).

cnf(c_0_22,plain,
    ( ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | iLess0(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,hypothesis,
    sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

fof(c_0_26,hypothesis,
    ! [X99,X100] :
      ( doDivides0(xp,sdtasdt0(xn,xm))
      & sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
      & aNaturalNumber0(esk9_0)
      & isPrime0(xp)
      & ( X99 = xp
        | X99 = sz10
        | ~ aNaturalNumber0(X99)
        | ~ doDivides0(X99,xp) )
      & ( X99 = xp
        | X99 = sz10
        | ~ aNaturalNumber0(X99)
        | xp != sdtasdt0(X99,X100)
        | ~ aNaturalNumber0(X100) )
      & xp != sz10
      & xp != sz00 ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).

cnf(c_0_27,hypothesis,
    doDivides0(xp,sdtasdt0(xr,xm)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,hypothesis,
    sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_29,negated_conjecture,
    ! [X106,X107] :
      ( ~ doDivides0(xp,xm)
      & ( xm != sdtasdt0(xp,X107)
        | ~ aNaturalNumber0(X107) )
      & ~ doDivides0(xp,xr)
      & ( xr != sdtasdt0(xp,X106)
        | ~ aNaturalNumber0(X106) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).

cnf(c_0_30,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ isPrime0(X1)
    | ~ doDivides0(X1,sdtasdt0(X3,X2))
    | ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
    | doDivides0(X1,X3)
    | doDivides0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_32,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,hypothesis,
    doDivides0(xp,sdtasdt0(xp,esk12_0)),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[m__1883]) ).

cnf(c_0_35,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

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

cnf(c_0_37,negated_conjecture,
    ~ doDivides0(xp,xm),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ~ doDivides0(xp,xr),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_28]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]),c_0_38]) ).

cnf(c_0_40,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(xr,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_36])]) ).

cnf(c_0_41,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_35]),c_0_34])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM495+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n003.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 21 02:36:30 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.50  Running first-order theorem proving
% 0.19/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.85/0.87  % Version: 3.5.1
% 1.85/0.87  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.87  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.87  % Starting new_bool_3 with 300s (1) cores
% 1.85/0.87  % Starting new_bool_1 with 300s (1) cores
% 1.85/0.87  % Starting sh5l with 300s (1) cores
% 1.85/0.87  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3220310 completed with status 0
% 1.85/0.87  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.85/0.87  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.87  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.87  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.85/0.87  % No SInE strategy applied
% 1.85/0.87  % Search class: FGHSF-FSLM32-MFFFFFNN
% 1.85/0.87  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.85/0.87  % Starting SubtermCWHack with 136s (1) cores
% 1.85/0.87  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.85/0.87  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 1.85/0.87  % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 1.85/0.87  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 1.85/0.87  % G-E--_302_C18_F1_URBAN_S0Y with pid 3220320 completed with status 0
% 1.85/0.87  % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 1.85/0.87  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.87  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.87  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.85/0.87  % No SInE strategy applied
% 1.85/0.87  % Search class: FGHSF-FSLM32-MFFFFFNN
% 1.85/0.87  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.85/0.87  % Starting SubtermCWHack with 136s (1) cores
% 1.85/0.87  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.85/0.87  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 1.85/0.87  % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 1.85/0.87  % Preprocessing time       : 0.012 s
% 1.85/0.87  
% 1.85/0.87  % Proof found!
% 1.85/0.87  % SZS status Theorem
% 1.85/0.87  % SZS output start CNFRefutation
% See solution above
% 1.85/0.88  % Parsed axioms                        : 47
% 1.85/0.88  % Removed by relevancy pruning/SinE    : 0
% 1.85/0.88  % Initial clauses                      : 228
% 1.85/0.88  % Removed in clause preprocessing      : 3
% 1.85/0.88  % Initial clauses in saturation        : 225
% 1.85/0.88  % Processed clauses                    : 272
% 1.85/0.88  % ...of these trivial                  : 0
% 1.85/0.88  % ...subsumed                          : 20
% 1.85/0.88  % ...remaining for further processing  : 252
% 1.85/0.88  % Other redundant clauses eliminated   : 31
% 1.85/0.88  % Clauses deleted for lack of memory   : 0
% 1.85/0.88  % Backward-subsumed                    : 7
% 1.85/0.88  % Backward-rewritten                   : 2
% 1.85/0.88  % Generated clauses                    : 3450
% 1.85/0.88  % ...of the previous two non-redundant : 3368
% 1.85/0.88  % ...aggressively subsumed             : 0
% 1.85/0.88  % Contextual simplify-reflections      : 3
% 1.85/0.88  % Paramodulations                      : 3398
% 1.85/0.88  % Factorizations                       : 0
% 1.85/0.88  % NegExts                              : 0
% 1.85/0.88  % Equation resolutions                 : 52
% 1.85/0.88  % Disequality decompositions           : 0
% 1.85/0.88  % Total rewrite steps                  : 2867
% 1.85/0.88  % ...of those cached                   : 2852
% 1.85/0.88  % Propositional unsat checks           : 0
% 1.85/0.88  %    Propositional check models        : 0
% 1.85/0.88  %    Propositional check unsatisfiable : 0
% 1.85/0.88  %    Propositional clauses             : 0
% 1.85/0.88  %    Propositional clauses after purity: 0
% 1.85/0.88  %    Propositional unsat core size     : 0
% 1.85/0.88  %    Propositional preprocessing time  : 0.000
% 1.85/0.88  %    Propositional encoding time       : 0.000
% 1.85/0.88  %    Propositional solver time         : 0.000
% 1.85/0.88  %    Success case prop preproc time    : 0.000
% 1.85/0.88  %    Success case prop encoding time   : 0.000
% 1.85/0.88  %    Success case prop solver time     : 0.000
% 1.85/0.88  % Current number of processed clauses  : 242
% 1.85/0.88  %    Positive orientable unit clauses  : 28
% 1.85/0.88  %    Positive unorientable unit clauses: 0
% 1.85/0.88  %    Negative unit clauses             : 18
% 1.85/0.88  %    Non-unit-clauses                  : 196
% 1.85/0.88  % Current number of unprocessed clauses: 3316
% 1.85/0.88  % ...number of literals in the above   : 33059
% 1.85/0.88  % Current number of archived formulas  : 0
% 1.85/0.88  % Current number of archived clauses   : 9
% 1.85/0.88  % Clause-clause subsumption calls (NU) : 34919
% 1.85/0.88  % Rec. Clause-clause subsumption calls : 586
% 1.85/0.88  % Non-unit clause-clause subsumptions  : 13
% 1.85/0.88  % Unit Clause-clause subsumption calls : 2034
% 1.85/0.88  % Rewrite failures with RHS unbound    : 0
% 1.85/0.88  % BW rewrite match attempts            : 2
% 1.85/0.88  % BW rewrite match successes           : 2
% 1.85/0.88  % Condensation attempts                : 0
% 1.85/0.88  % Condensation successes               : 0
% 1.85/0.88  % Termbank termtop insertions          : 137484
% 1.85/0.88  % Search garbage collected termcells   : 2304
% 1.85/0.88  
% 1.85/0.88  % -------------------------------------------------
% 1.85/0.88  % User time                : 0.317 s
% 1.85/0.88  % System time              : 0.015 s
% 1.85/0.88  % Total time               : 0.332 s
% 1.85/0.88  % Maximum resident set size: 3696 pages
% 1.85/0.88  
% 1.85/0.88  % -------------------------------------------------
% 1.85/0.88  % User time                : 1.269 s
% 1.85/0.88  % System time              : 0.065 s
% 1.85/0.88  % Total time               : 1.334 s
% 1.85/0.88  % Maximum resident set size: 4608 pages
% 1.85/0.88  % E exiting
%------------------------------------------------------------------------------