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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:37:07 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   68 (  24   ~;  19   |;  23   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 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   :   34 (  30   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ! [X,Y] :
            ~ ( iext(P2,X,Y)
              & iext(P1,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ! [X,Y] :
            ( ~ iext(P2,X,Y)
            | ~ iext(P1,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f4,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
      & ( ( ! [X,Y] :
              ( ~ iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f5,plain,
    ( ! [P1,P2] :
        ( ? [X,Y] :
            ( iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f6,plain,
    ( ! [P1,P2] :
        ( ( iext(P2,sK0_skl(P2,P1),sK1_skl(P2,P1))
          & iext(P1,sK0_skl(P2,P1),sK1_skl(P2,P1)) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl(P2,P1)),skolemize(Y,sK1_skl(P2,P1))],[f5]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X1,X2,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f16,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f17,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f18,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ iext(uri_skos_altLabel,X0,X1)
      | ~ iext(uri_skos_prefLabel,X0,X1) ),
    inference(resolution,[status(thm)],[f9,f16]) ).

fof(f20,plain,
    ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(resolution,[status(thm)],[f19,f18]) ).

fof(f21,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n018.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 07:42:16 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Drodi V4.1.1
% 0.14/0.39  % Refutation found
% 0.14/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40  % Elapsed time: 0.029184 seconds
% 0.14/0.40  % CPU time: 0.070435 seconds
% 0.14/0.40  % Total memory used: 1.216 MB
% 0.14/0.40  % Net memory used: 1.184 MB
%------------------------------------------------------------------------------