TSTP Solution File: SWB019+2 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 19:15:24 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   76 (  30   ~;  22   |;  21   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_eqdis_propertydisjointwith,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X,Y] :
            ~ ( iext(P1,X,Y)
              & iext(P2,X,Y) ) ) ) ).

fof(testcase_premise_fullish_019_Disjoint_Annotation_Properties,axiom,
    ( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ) ).

fof(normalize_0_0,plain,
    ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(canonicalize,[],[testcase_premise_fullish_019_Disjoint_Annotation_Properties]) ).

fof(normalize_0_1,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_3,plain,
    ! [P1,P2] :
      ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( iext(P1,X,Y)
            & iext(P2,X,Y) ) ) ),
    inference(canonicalize,[],[owl_eqdis_propertydisjointwith]) ).

fof(normalize_0_4,plain,
    ! [P1,P2] :
      ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( iext(P1,X,Y)
            & iext(P2,X,Y) ) ) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [P1,P2,X,Y] :
      ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ip(P1) )
      & ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ip(P2) )
      & ( ~ iext(P1,X,Y)
        | ~ iext(P2,X,Y)
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) )
      & ( ~ ip(P1)
        | ~ ip(P2)
        | iext(P1,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
      & ( ~ ip(P1)
        | ~ ip(P2)
        | iext(P2,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
        | iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(clausify,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [P1,P2,X,Y] :
      ( ~ iext(P1,X,Y)
      | ~ iext(P2,X,Y)
      | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(conjunct,[],[normalize_0_0]) ).

cnf(refute_0_0,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( ~ iext(P1,X,Y)
    | ~ iext(P2,X,Y)
    | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ( ~ iext(X_17,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,X_17)
    | ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(subst,[],[refute_0_2:[bind(P1,$fot(uri_skos_prefLabel)),bind(P2,$fot(X_17)),bind(X,$fot(uri_ex_foo)),bind(Y,$fot(literal_plain(dat_str_foo)))]]) ).

cnf(refute_0_4,plain,
    ( ~ iext(X_17,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,X_17) ),
    inference(resolve,[$cnf( iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    inference(subst,[],[refute_0_4:[bind(X_17,$fot(uri_skos_altLabel))]]) ).

cnf(refute_0_6,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(resolve,[$cnf( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel) )],[refute_0_7,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n022.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 : Wed Jun  1 08:39:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------