%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 12:27:22 EDT 2022

% Result   : Theorem 0.21s 0.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   70 (  20 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :   71 (  19   ~;  20   |;  30   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn   2   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
    ( ( ? [W0] :
          ( aNaturalNumber0(W0)
          & xn = sdtasdt0(xr,W0) )
      & doDivides0(xr,xn) )
    | ( ? [W0] :
          ( aNaturalNumber0(W0)
          & xm = sdtasdt0(xr,W0) )
      & doDivides0(xr,xm) ) ) ).

fof(m__2487,hypothesis,
    ~ ( ? [W0] :
          ( aNaturalNumber0(W0)
          & xn = sdtasdt0(xr,W0) )
      | doDivides0(xr,xn) ) ).

fof(m__2698,hypothesis,
    ~ ( ? [W0] :
          ( aNaturalNumber0(W0)
          & xm = sdtasdt0(xr,W0) )
      | doDivides0(xr,xm) ) ).

fof(m__,conjecture,
    ( ? [W0] :
        ( aNaturalNumber0(W0)
        & xn = sdtasdt0(xp,W0) )
    | doDivides0(xp,xn)
    | ? [W0] :
        ( aNaturalNumber0(W0)
        & xm = sdtasdt0(xp,W0) )
    | doDivides0(xp,xm) ) ).

fof(subgoal_0,plain,
    ( ( ~ ? [W0] :
            ( aNaturalNumber0(W0)
            & xn = sdtasdt0(xp,W0) )
      & ~ doDivides0(xp,xn)
      & ~ ? [W0] :
            ( aNaturalNumber0(W0)
            & xm = sdtasdt0(xp,W0) ) )
   => doDivides0(xp,xm) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ( ( ~ ? [W0] :
              ( aNaturalNumber0(W0)
              & xn = sdtasdt0(xp,W0) )
        & ~ doDivides0(xp,xn)
        & ~ ? [W0] :
              ( aNaturalNumber0(W0)
              & xm = sdtasdt0(xp,W0) ) )
     => doDivides0(xp,xm) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ( doDivides0(xr,xm)
      & ? [W0] :
          ( xm = sdtasdt0(xr,W0)
          & aNaturalNumber0(W0) ) )
    | ( doDivides0(xr,xn)
      & ? [W0] :
          ( xn = sdtasdt0(xr,W0)
          & aNaturalNumber0(W0) ) ) ),
    inference(canonicalize,[],[m__2449]) ).

fof(normalize_0_1,plain,
    ( ( xm = sdtasdt0(xr,skolemFOFtoCNF_W0_7)
      | xn = sdtasdt0(xr,skolemFOFtoCNF_W0_8) )
    & ( xm = sdtasdt0(xr,skolemFOFtoCNF_W0_7)
      | aNaturalNumber0(skolemFOFtoCNF_W0_8) )
    & ( xm = sdtasdt0(xr,skolemFOFtoCNF_W0_7)
      | doDivides0(xr,xn) )
    & ( xn = sdtasdt0(xr,skolemFOFtoCNF_W0_8)
      | aNaturalNumber0(skolemFOFtoCNF_W0_7) )
    & ( xn = sdtasdt0(xr,skolemFOFtoCNF_W0_8)
      | doDivides0(xr,xm) )
    & ( aNaturalNumber0(skolemFOFtoCNF_W0_7)
      | aNaturalNumber0(skolemFOFtoCNF_W0_8) )
    & ( aNaturalNumber0(skolemFOFtoCNF_W0_7)
      | doDivides0(xr,xn) )
    & ( aNaturalNumber0(skolemFOFtoCNF_W0_8)
      | doDivides0(xr,xm) )
    & ( doDivides0(xr,xm)
      | doDivides0(xr,xn) ) ),
    inference(clausify,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ( doDivides0(xr,xm)
    | doDivides0(xr,xn) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( ~ doDivides0(xr,xm)
    & ! [W0] :
        ( xm != sdtasdt0(xr,W0)
        | ~ aNaturalNumber0(W0) ) ),
    inference(canonicalize,[],[m__2698]) ).

fof(normalize_0_4,plain,
    ~ doDivides0(xr,xm),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( ~ doDivides0(xr,xn)
    & ! [W0] :
        ( xn != sdtasdt0(xr,W0)
        | ~ aNaturalNumber0(W0) ) ),
    inference(canonicalize,[],[m__2487]) ).

fof(normalize_0_6,plain,
    ~ doDivides0(xr,xn),
    inference(conjunct,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ( doDivides0(xr,xm)
    | doDivides0(xr,xn) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ~ doDivides0(xr,xm),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    doDivides0(xr,xn),
    inference(resolve,[$cnf( doDivides0(xr,xm) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ~ doDivides0(xr,xn),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( doDivides0(xr,xn) )],[refute_0_2,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n013.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 : Wed Jul  6 08:13:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41  
% 0.21/0.41  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.41  
%------------------------------------------------------------------------------