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Metis---2.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 : Tue Jul 19 19:15:20 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   88 (  40   ~;  28   |;  14   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ) ).

fof(owl_eqdis_disjointwith,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ~ ( icext(C1,X)
              & icext(C2,X) ) ) ) ).

fof(testcase_premise_fullish_011_Entity_Types_as_Classes,axiom,
    ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ) ).

fof(normalize_0_0,plain,
    ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ),
    inference(canonicalize,[],[testcase_premise_fullish_011_Entity_Types_as_Classes]) ).

fof(normalize_0_1,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(canonicalize,[],[rdfs_cext_def]) ).

fof(normalize_0_3,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [C,X] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) ) ),
    inference(clausify,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [C,X] :
      ( ~ iext(uri_rdf_type,X,C)
      | icext(C,X) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_7,plain,
    ! [C1,C2] :
      ( ~ iext(uri_owl_disjointWith,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( icext(C1,X)
            & icext(C2,X) ) ) ),
    inference(canonicalize,[],[owl_eqdis_disjointwith]) ).

fof(normalize_0_8,plain,
    ! [C1,C2] :
      ( ~ iext(uri_owl_disjointWith,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( icext(C1,X)
            & icext(C2,X) ) ) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [C1,C2,X] :
      ( ( ~ iext(uri_owl_disjointWith,C1,C2)
        | ic(C1) )
      & ( ~ iext(uri_owl_disjointWith,C1,C2)
        | ic(C2) )
      & ( ~ icext(C1,X)
        | ~ icext(C2,X)
        | ~ iext(uri_owl_disjointWith,C1,C2) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | icext(C1,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_owl_disjointWith,C1,C2) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | icext(C2,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(clausify,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [C1,C2,X] :
      ( ~ icext(C1,X)
      | ~ icext(C2,X)
      | ~ iext(uri_owl_disjointWith,C1,C2) ),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(conjunct,[],[normalize_0_0]) ).

cnf(refute_0_0,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ iext(uri_rdf_type,X,C)
    | icext(C,X) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ( ~ iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    | icext(uri_owl_ObjectProperty,uri_ex_x) ),
    inference(subst,[],[refute_0_1:[bind(C,$fot(uri_owl_ObjectProperty)),bind(X,$fot(uri_ex_x))]]) ).

cnf(refute_0_3,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    ( ~ icext(C1,X)
    | ~ icext(C2,X)
    | ~ iext(uri_owl_disjointWith,C1,C2) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_6,plain,
    ( ~ icext(uri_owl_Class,X_13)
    | ~ icext(uri_owl_ObjectProperty,X_13)
    | ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(subst,[],[refute_0_5:[bind(C1,$fot(uri_owl_Class)),bind(C2,$fot(uri_owl_ObjectProperty)),bind(X,$fot(X_13))]]) ).

cnf(refute_0_7,plain,
    ( ~ icext(uri_owl_Class,X_13)
    | ~ icext(uri_owl_ObjectProperty,X_13) ),
    inference(resolve,[$cnf( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ icext(uri_owl_Class,uri_ex_x)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_x) ),
    inference(subst,[],[refute_0_7:[bind(X_13,$fot(uri_ex_x))]]) ).

cnf(refute_0_9,plain,
    ~ icext(uri_owl_Class,uri_ex_x),
    inference(resolve,[$cnf( icext(uri_owl_ObjectProperty,uri_ex_x) )],[refute_0_3,refute_0_8]) ).

cnf(refute_0_10,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_11,plain,
    ( ~ iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    | icext(uri_owl_Class,uri_ex_x) ),
    inference(subst,[],[refute_0_1:[bind(C,$fot(uri_owl_Class)),bind(X,$fot(uri_ex_x))]]) ).

cnf(refute_0_12,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_x,uri_owl_Class) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( icext(uri_owl_Class,uri_ex_x) )],[refute_0_12,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n027.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 : Wed Jun  1 07:59:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------