%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN405+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 : Thu Jul 21 09:02:10 EDT 2022

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  11   ~;   4   |;   8   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   21 (   3 sgn   9   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kalish239,conjecture,
    ( ( ! [X] : f(X)
      & ? [Y] : g(Y) )
   => ? [Z] :
        ( f(Z)
        & g(Z) ) ) ).

fof(subgoal_0,plain,
    ( ( ! [X] : f(X)
      & ? [Y] : g(Y) )
   => ? [Z] :
        ( f(Z)
        & g(Z) ) ),
    inference(strip,[],[kalish239]) ).

fof(negate_0_0,plain,
    ~ ( ( ! [X] : f(X)
        & ? [Y] : g(Y) )
     => ? [Z] :
          ( f(Z)
          & g(Z) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ? [Y] : g(Y)
    & ! [X] : f(X)
    & ! [Z] :
        ( ~ f(Z)
        | ~ g(Z) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ? [Y] : g(Y),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    g(skolemFOFtoCNF_Y),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [Z] :
      ( ~ f(Z)
      | ~ g(Z) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [Z] :
      ( ~ f(Z)
      | ~ g(Z) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] : f(X),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_6,plain,
    ! [X] : f(X),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    g(skolemFOFtoCNF_Y),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ f(Z)
    | ~ g(Z) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    f(X),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    f(Z),
    inference(subst,[],[refute_0_2:[bind(X,$fot(Z))]]) ).

cnf(refute_0_4,plain,
    ~ g(Z),
    inference(resolve,[$cnf( f(Z) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    ~ g(skolemFOFtoCNF_Y),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( g(skolemFOFtoCNF_Y) )],[refute_0_0,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN405+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 08:54:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------