%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 12:27:43 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   36 (   7 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   34 (  10   ~;   8   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   7   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2431,hypothesis,
    ( ! [W0] :
        ( aElementOf0(W0,xP)
       => aElementOf0(W0,xS) )
    & aSubsetOf0(xP,xS)
    & sbrdtbr0(xP) = xk ) ).

fof(m__,conjecture,
    ( ( ( ! [W0] :
            ( aElementOf0(W0,xP)
           => aElementOf0(W0,xS) )
        | aSubsetOf0(xP,xS) )
      & sbrdtbr0(xP) = xk )
    | aElementOf0(xP,slbdtsldtrb0(xS,xk)) ) ).

fof(subgoal_0,plain,
    ( ~ ( ( ! [W0] :
              ( aElementOf0(W0,xP)
             => aElementOf0(W0,xS) )
          | aSubsetOf0(xP,xS) )
        & sbrdtbr0(xP) = xk )
   => aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ( ~ ( ( ! [W0] :
                ( aElementOf0(W0,xP)
               => aElementOf0(W0,xS) )
            | aSubsetOf0(xP,xS) )
          & sbrdtbr0(xP) = xk )
     => aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
    & ( sbrdtbr0(xP) != xk
      | ( ~ aSubsetOf0(xP,xS)
        & ? [W0] :
            ( ~ aElementOf0(W0,xS)
            & aElementOf0(W0,xP) ) ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( sbrdtbr0(xP) = xk
    & aSubsetOf0(xP,xS)
    & ! [W0] :
        ( ~ aElementOf0(W0,xP)
        | aElementOf0(W0,xS) ) ),
    inference(canonicalize,[],[m__2431]) ).

fof(normalize_0_2,plain,
    sbrdtbr0(xP) = xk,
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    aSubsetOf0(xP,xS),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_4,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xP)
      | aElementOf0(W0,xS) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_5,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xP)
      | aElementOf0(W0,xS) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_2,normalize_0_3,normalize_0_5]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n005.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 06:54:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.45  
%------------------------------------------------------------------------------