%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM491+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 12:27:08 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   31 (   9 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   31 (  15   ~;   6   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ) ).

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

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

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

fof(normalize_0_0,plain,
    ( ~ doDivides0(xp,sdtasdt0(xp,xm))
    & ! [W0] :
        ( sdtasdt0(xp,xm) != sdtasdt0(xp,W0)
        | ~ aNaturalNumber0(W0) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [W0] :
      ( sdtasdt0(xp,xm) != sdtasdt0(xp,W0)
      | ~ aNaturalNumber0(W0) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [W0] :
      ( sdtasdt0(xp,xm) != sdtasdt0(xp,W0)
      | ~ aNaturalNumber0(W0) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn)
    & aNaturalNumber0(xp) ),
    inference(canonicalize,[],[m__1837]) ).

fof(normalize_0_4,plain,
    aNaturalNumber0(xm),
    inference(conjunct,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    ( sdtasdt0(xp,xm) != sdtasdt0(xp,W0)
    | ~ aNaturalNumber0(W0) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( sdtasdt0(xp,xm) != sdtasdt0(xp,xm)
    | ~ aNaturalNumber0(xm) ),
    inference(subst,[],[refute_0_0:[bind(W0,$fot(xm))]]) ).

cnf(refute_0_2,plain,
    sdtasdt0(xp,xm) = sdtasdt0(xp,xm),
    introduced(tautology,[refl,[$fot(sdtasdt0(xp,xm))]]) ).

cnf(refute_0_3,plain,
    ~ aNaturalNumber0(xm),
    inference(resolve,[$cnf( $equal(sdtasdt0(xp,xm),sdtasdt0(xp,xm)) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    aNaturalNumber0(xm),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( aNaturalNumber0(xm) )],[refute_0_4,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM491+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 01:26:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41  
% 0.20/0.41  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41  
%------------------------------------------------------------------------------