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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 02:37:04 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   77 (  29   ~;  24   |;  21   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ~ ( icext(C2,X)
              & icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f5,plain,
    ( ! [X,C] :
        ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
    & ! [X,C] :
        ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f8,plain,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ( ~ icext(C2,X)
            | ~ icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f9,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
      & ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(NNF_transformation,[status(thm)],[f8]) ).

fof(f10,plain,
    ( ! [C1,C2] :
        ( ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f11,plain,
    ( ! [C1,C2] :
        ( ( icext(C2,sK0_skl(C2,C1))
          & icext(C1,sK0_skl(C2,C1)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(C2,C1))],[f10]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f17,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f18,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f19,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f20,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolution,[status(thm)],[f6,f19]) ).

fof(f21,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[status(thm)],[f6,f18]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ icext(uri_owl_ObjectProperty,X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(resolution,[status(thm)],[f14,f17]) ).

fof(f26,plain,
    ~ icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[status(thm)],[f25,f20]) ).

fof(f27,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f26,f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  % Computer : n001.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 07:43:58 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.46  % Drodi V4.1.1
% 0.18/0.47  % Refutation found
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.50  % Elapsed time: 0.043860 seconds
% 0.18/0.50  % CPU time: 0.103086 seconds
% 0.18/0.50  % Total memory used: 1.070 MB
% 0.18/0.50  % Net memory used: 1.041 MB
%------------------------------------------------------------------------------