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Metis---2.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n006.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 12:27:04 EDT 2022

% Result   : Theorem 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :   42 (  18 equ)
%            Maximal formula atoms :   13 (   7 avg)
%            Number of connectives :   45 (   9   ~;   9   |;  24   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   3   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1737,hypothesis,
    ~ ~ $false ).

fof(m__,conjecture,
    ? [W0] :
      ( aNaturalNumber0(W0)
      & ( ? [W1] :
            ( aNaturalNumber0(W1)
            & xk = sdtasdt0(W0,W1) )
        | doDivides0(W0,xk) )
      & ( ( W0 != sz00
          & W0 != sz10
          & ! [W1] :
              ( ( aNaturalNumber0(W1)
                & ? [W2] :
                    ( aNaturalNumber0(W2)
                    & W0 = sdtasdt0(W1,W2) )
                & doDivides0(W1,W0) )
             => ( W1 = sz10
                | W1 = W0 ) ) )
        | isPrime0(W0) ) ) ).

fof(subgoal_0,plain,
    ? [W0] :
      ( aNaturalNumber0(W0)
      & ( ? [W1] :
            ( aNaturalNumber0(W1)
            & xk = sdtasdt0(W0,W1) )
        | doDivides0(W0,xk) )
      & ( ( W0 != sz00
          & W0 != sz10
          & ! [W1] :
              ( ( aNaturalNumber0(W1)
                & ? [W2] :
                    ( aNaturalNumber0(W2)
                    & W0 = sdtasdt0(W1,W2) )
                & doDivides0(W1,W0) )
             => ( W1 = sz10
                | W1 = W0 ) ) )
        | isPrime0(W0) ) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ? [W0] :
        ( aNaturalNumber0(W0)
        & ( ? [W1] :
              ( aNaturalNumber0(W1)
              & xk = sdtasdt0(W0,W1) )
          | doDivides0(W0,xk) )
        & ( ( W0 != sz00
            & W0 != sz10
            & ! [W1] :
                ( ( aNaturalNumber0(W1)
                  & ? [W2] :
                      ( aNaturalNumber0(W2)
                      & W0 = sdtasdt0(W1,W2) )
                  & doDivides0(W1,W0) )
               => ( W1 = sz10
                  | W1 = W0 ) ) )
          | isPrime0(W0) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    $false,
    inference(canonicalize,[],[m__1737]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 07:37:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  
% 0.19/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35  
%------------------------------------------------------------------------------