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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB030+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 02:37:12 PM UTC 2026

% Result   : Unsatisfiable 152.64s 19.90s
% Output   : CNFRefutation 152.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   35 (   8 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  117 (  44   ~;  43   |;  23   &)
%                                         (   5 <=>;   2  =>;   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    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   67 (  66   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f278,axiom,
    ! [Z,C] :
      ( iext(uri_owl_complementOf,Z,C)
     => ( ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) )
        & ic(C)
        & ic(Z) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f314,axiom,
    ! [Z,P,V] :
      ( ( iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_hasSelf,Z,V) )
     => ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,axiom,
    ? [BNODE_x] :
      ( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
      & iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f590,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)],[f25]) ).

fof(f591,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)],[f590]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f591]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f591]) ).

fof(f1084,plain,
    ! [Z,C] :
      ( ( ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f278]) ).

fof(f1085,plain,
    ! [Z,C] :
      ( ( ! [X] :
            ( ( icext(C,X)
              | icext(Z,X) )
            & ( ~ icext(C,X)
              | ~ icext(Z,X) ) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(NNF_transformation,[status(thm)],[f1084]) ).

fof(f1086,plain,
    ! [Z,C] :
      ( ( ! [X] :
            ( icext(C,X)
            | icext(Z,X) )
        & ! [X] :
            ( ~ icext(C,X)
            | ~ icext(Z,X) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(miniscoping,[status(thm)],[f1085]) ).

fof(f1089,plain,
    ! [X0,X1,X2] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1086]) ).

fof(f1090,plain,
    ! [X0,X1,X2] :
      ( icext(X1,X2)
      | icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1086]) ).

fof(f1446,plain,
    ! [Z,P,V] :
      ( ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,X) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasSelf,Z,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f314]) ).

fof(f1447,plain,
    ! [Z,P,V] :
      ( ! [X] :
          ( ( ~ iext(P,X,X)
            | icext(Z,X) )
          & ( iext(P,X,X)
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasSelf,Z,V) ),
    inference(NNF_transformation,[status(thm)],[f1446]) ).

fof(f1448,plain,
    ! [Z,P] :
      ( ( ! [X] :
            ( ~ iext(P,X,X)
            | icext(Z,X) )
        & ! [X] :
            ( iext(P,X,X)
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ! [V] : ~ iext(uri_owl_hasSelf,Z,V) ),
    inference(miniscoping,[status(thm)],[f1447]) ).

fof(f1449,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X2,X3,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_hasSelf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1448]) ).

fof(f1450,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X2,X3,X3)
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_hasSelf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1448]) ).

fof(f2403,plain,
    ( iext(uri_owl_hasSelf,sK199_skl,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,sK199_skl,uri_rdf_type)
    & iext(uri_rdf_type,sK199_skl,uri_owl_Restriction)
    & iext(uri_owl_complementOf,uri_ex_c,sK199_skl)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl]),skolemize(BNODE_x,sK199_skl)],[f559]) ).

fof(f2405,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK199_skl),
    inference(cnf_transformation,[status(thm)],[f2403]) ).

fof(f2407,plain,
    iext(uri_owl_onProperty,sK199_skl,uri_rdf_type),
    inference(cnf_transformation,[status(thm)],[f2403]) ).

fof(f2408,plain,
    iext(uri_owl_hasSelf,sK199_skl,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[status(thm)],[f2403]) ).

fof(f3295,plain,
    ! [X0] :
      ( ~ icext(sK199_skl,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(resolution,[status(thm)],[f1089,f2405]) ).

fof(f3306,plain,
    ! [X0] :
      ( icext(sK199_skl,X0)
      | icext(uri_ex_c,X0) ),
    inference(resolution,[status(thm)],[f1090,f2405]) ).

fof(f6661,plain,
    ! [X0,X1] :
      ( iext(X0,X1,X1)
      | ~ icext(sK199_skl,X1)
      | ~ iext(uri_owl_onProperty,sK199_skl,X0) ),
    inference(resolution,[status(thm)],[f1449,f2408]) ).

fof(f6681,plain,
    ! [X0,X1] :
      ( ~ iext(X0,X1,X1)
      | icext(sK199_skl,X1)
      | ~ iext(uri_owl_onProperty,sK199_skl,X0) ),
    inference(resolution,[status(thm)],[f1450,f2408]) ).

fof(f9114,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,X0)
      | ~ icext(sK199_skl,X0) ),
    inference(resolution,[status(thm)],[f6661,f2407]) ).

fof(f9120,plain,
    ! [X0] :
      ( icext(uri_ex_c,X0)
      | iext(uri_rdf_type,X0,X0) ),
    inference(resolution,[status(thm)],[f9114,f3306]) ).

fof(f9133,plain,
    ! [X0] :
      ( icext(X0,X0)
      | icext(uri_ex_c,X0) ),
    inference(resolution,[status(thm)],[f9120,f592]) ).

fof(f9149,plain,
    iext(uri_rdf_type,uri_ex_c,uri_ex_c),
    inference(resolution,[status(thm)],[f9133,f593]) ).

fof(f9453,plain,
    icext(uri_ex_c,uri_ex_c),
    inference(factoring,[status(thm)],[f9133]) ).

fof(f15015,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,X0)
      | icext(sK199_skl,X0) ),
    inference(resolution,[status(thm)],[f6681,f2407]) ).

fof(f15016,plain,
    icext(sK199_skl,uri_ex_c),
    inference(resolution,[status(thm)],[f15015,f9149]) ).

fof(f15062,plain,
    ~ icext(uri_ex_c,uri_ex_c),
    inference(resolution,[status(thm)],[f15016,f3295]) ).

fof(f15065,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f15062,f9453]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB030+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % Computer : n020.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 21 07:43:17 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.54  % Drodi V4.1.1
% 152.64/19.90  % Refutation found
% 152.64/19.90  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 152.64/19.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 78.40/20.02  % Elapsed time: 19.550041 seconds
% 78.40/20.02  % CPU time: 153.599910 seconds
% 78.40/20.02  % Total memory used: 397.953 MB
% 78.40/20.02  % Net memory used: 369.473 MB
%------------------------------------------------------------------------------