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Drodi---4.1.1.TMO-Non.f

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB027+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 02:37:11 PM UTC 2026

% Result   : Timeout 295.87s 37.84s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   62 (  13 unt;   0 def)
%            Number of atoms       :  303 (  17 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  381 ( 140   ~; 151   |;  79   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-4 aty)
%            Number of variables   :  184 ( 162   !;  22   ?)

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

fof(f354,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f389,axiom,
    ! [P,S1,P1,S2,P2] :
      ( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
        & iext(uri_rdf_first,S2,P2)
        & iext(uri_rdf_rest,S1,S2)
        & iext(uri_rdf_first,S1,P1) )
     => ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ! [Y0,Y1,Y2] :
              ( ( iext(P2,Y1,Y2)
                & iext(P1,Y0,Y1) )
             => iext(P,Y0,Y2) )
          & ip(P2)
          & ip(P1)
          & ip(P) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f391,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_inverseOf,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P1,X,Y)
          <=> iext(P2,Y,X) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f394,axiom,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ! [X1,X2,Y] :
            ( ( iext(P,X2,Y)
              & iext(P,X1,Y) )
           => X1 = X2 )
        & ip(P) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [BNODE_l1,BNODE_l2,BNODE_v] :
      ( iext(uri_owl_inverseOf,BNODE_v,uri_ex_p)
      & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l2,BNODE_v)
      & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
      & iext(uri_rdf_first,BNODE_l1,uri_ex_p)
      & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f592,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(f593,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)],[f592]) ).

fof(f595,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f593]) ).

fof(f1832,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f354]) ).

fof(f1833,plain,
    ( ! [X,Y] :
        ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
    & ! [X,Y] :
        ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(miniscoping,[status(thm)],[f1832]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1833]) ).

fof(f1975,plain,
    ! [P,S1,P1,S2,P2] :
      ( ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ! [Y0,Y1,Y2] :
              ( iext(P,Y0,Y2)
              | ~ iext(P2,Y1,Y2)
              | ~ iext(P1,Y0,Y1) )
          & ip(P2)
          & ip(P1)
          & ip(P) ) )
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,P1) ),
    inference(pre_NNF_transformation,[status(thm)],[f389]) ).

fof(f1976,plain,
    ! [P,S1,P1,S2,P2] :
      ( ( ( ? [Y0,Y1,Y2] :
              ( ~ iext(P,Y0,Y2)
              & iext(P2,Y1,Y2)
              & iext(P1,Y0,Y1) )
          | ~ ip(P2)
          | ~ ip(P1)
          | ~ ip(P)
          | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ( ( ! [Y0,Y1,Y2] :
                ( iext(P,Y0,Y2)
                | ~ iext(P2,Y1,Y2)
                | ~ iext(P1,Y0,Y1) )
            & ip(P2)
            & ip(P1)
            & ip(P) )
          | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,P1) ),
    inference(NNF_transformation,[status(thm)],[f1975]) ).

fof(f1977,plain,
    ! [S1,P1,P2] :
      ( ( ! [P] :
            ( ? [Y0,Y2] :
                ( ~ iext(P,Y0,Y2)
                & ? [Y1] :
                    ( iext(P2,Y1,Y2)
                    & iext(P1,Y0,Y1) ) )
            | ~ ip(P2)
            | ~ ip(P1)
            | ~ ip(P)
            | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ! [P] :
            ( ( ! [Y0,Y2] :
                  ( iext(P,Y0,Y2)
                  | ! [Y1] :
                      ( ~ iext(P2,Y1,Y2)
                      | ~ iext(P1,Y0,Y1) ) )
              & ip(P2)
              & ip(P1)
              & ip(P) )
            | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ! [S2] :
          ( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S1,P1) ) ),
    inference(miniscoping,[status(thm)],[f1976]) ).

fof(f1978,plain,
    ! [S1,P1,P2] :
      ( ( ! [P] :
            ( ( ~ iext(P,sK159_skl(P,P2,P1,S1),sK160_skl(P,P2,P1,S1))
              & iext(P2,sK161_skl(P,P2,P1,S1),sK160_skl(P,P2,P1,S1))
              & iext(P1,sK159_skl(P,P2,P1,S1),sK161_skl(P,P2,P1,S1)) )
            | ~ ip(P2)
            | ~ ip(P1)
            | ~ ip(P)
            | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ! [P] :
            ( ( ! [Y0,Y2] :
                  ( iext(P,Y0,Y2)
                  | ! [Y1] :
                      ( ~ iext(P2,Y1,Y2)
                      | ~ iext(P1,Y0,Y1) ) )
              & ip(P2)
              & ip(P1)
              & ip(P) )
            | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ! [S2] :
          ( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S1,P1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK159_skl,sK160_skl,sK161_skl]),skolemize(Y0,sK159_skl(P,P2,P1,S1)),skolemize(Y2,sK160_skl(P,P2,P1,S1)),skolemize(Y1,sK161_skl(P,P2,P1,S1))],[f1977]) ).

fof(f1980,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ip(X1)
      | ~ iext(uri_owl_propertyChainAxiom,X4,X0)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1978]) ).

fof(f1982,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( iext(X4,X5,X7)
      | ~ iext(X3,X6,X7)
      | ~ iext(X1,X5,X6)
      | ~ iext(uri_owl_propertyChainAxiom,X4,X0)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1978]) ).

fof(f1999,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( ( iext(P2,Y,X)
              | iext(P1,X,Y) )
            & ( ~ iext(P2,Y,X)
              | ~ iext(P1,X,Y) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
      & ( ( ! [X,Y] :
              ( ( ~ iext(P2,Y,X)
                | iext(P1,X,Y) )
              & ( iext(P2,Y,X)
                | ~ iext(P1,X,Y) ) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(NNF_transformation,[status(thm)],[f391]) ).

fof(f2000,plain,
    ( ! [P1,P2] :
        ( ? [X,Y] :
            ( ( iext(P2,Y,X)
              | iext(P1,X,Y) )
            & ( ~ iext(P2,Y,X)
              | ~ iext(P1,X,Y) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,Y,X)
              | iext(P1,X,Y) )
          & ! [X,Y] :
              ( iext(P2,Y,X)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f1999]) ).

fof(f2001,plain,
    ( ! [P1,P2] :
        ( ( ( iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
            | iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) )
          & ( ~ iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
            | ~ iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,Y,X)
              | iext(P1,X,Y) )
          & ! [X,Y] :
              ( iext(P2,Y,X)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK166_skl,sK167_skl]),skolemize(X,sK166_skl(P2,P1)),skolemize(Y,sK167_skl(P2,P1))],[f2000]) ).

fof(f2005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X1,X3,X2)
      | iext(X0,X2,X3)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f2001]) ).

fof(f2025,plain,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ! [X1,X2,Y] :
            ( X1 = X2
            | ~ iext(P,X2,Y)
            | ~ iext(P,X1,Y) )
        & ip(P) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f394]) ).

fof(f2026,plain,
    ! [P] :
      ( ( ? [X1,X2,Y] :
            ( X1 != X2
            & iext(P,X2,Y)
            & iext(P,X1,Y) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
      & ( ( ! [X1,X2,Y] :
              ( X1 = X2
              | ~ iext(P,X2,Y)
              | ~ iext(P,X1,Y) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(NNF_transformation,[status(thm)],[f2025]) ).

fof(f2027,plain,
    ( ! [P] :
        ( ? [X1,X2] :
            ( X1 != X2
            & ? [Y] :
                ( iext(P,X2,Y)
                & iext(P,X1,Y) ) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
    & ! [P] :
        ( ( ! [X1,X2] :
              ( X1 = X2
              | ! [Y] :
                  ( ~ iext(P,X2,Y)
                  | ~ iext(P,X1,Y) ) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(miniscoping,[status(thm)],[f2026]) ).

fof(f2028,plain,
    ( ! [P] :
        ( ( sK173_skl(P) != sK174_skl(P)
          & iext(P,sK174_skl(P),sK175_skl(P))
          & iext(P,sK173_skl(P),sK175_skl(P)) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
    & ! [P] :
        ( ( ! [X1,X2] :
              ( X1 = X2
              | ! [Y] :
                  ( ~ iext(P,X2,Y)
                  | ~ iext(P,X1,Y) ) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK173_skl,sK174_skl,sK175_skl]),skolemize(X1,sK173_skl(P)),skolemize(X2,sK174_skl(P)),skolemize(Y,sK175_skl(P))],[f2027]) ).

fof(f2031,plain,
    ! [X0] :
      ( iext(X0,sK173_skl(X0),sK175_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f2028]) ).

fof(f2032,plain,
    ! [X0] :
      ( iext(X0,sK174_skl(X0),sK175_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f2028]) ).

fof(f2033,plain,
    ! [X0] :
      ( sK173_skl(X0) != sK174_skl(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f2028]) ).

fof(f2405,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[status(thm)],[f560]) ).

fof(f2406,plain,
    ? [BNODE_v] :
      ( iext(uri_owl_inverseOf,BNODE_v,uri_ex_p)
      & ? [BNODE_l2] :
          ( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
          & iext(uri_rdf_first,BNODE_l2,BNODE_v)
          & ? [BNODE_l1] :
              ( iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
              & iext(uri_rdf_first,BNODE_l1,uri_ex_p)
              & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1) ) ) ),
    inference(miniscoping,[status(thm)],[f561]) ).

fof(f2407,plain,
    ( iext(uri_owl_inverseOf,sK199_skl,uri_ex_p)
    & iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK200_skl,sK199_skl)
    & iext(uri_rdf_rest,sK201_skl,sK200_skl)
    & iext(uri_rdf_first,sK201_skl,uri_ex_p)
    & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK201_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(BNODE_v,sK199_skl),skolemize(BNODE_l2,sK200_skl),skolemize(BNODE_l1,sK201_skl)],[f2406]) ).

fof(f2408,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK201_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2409,plain,
    iext(uri_rdf_first,sK201_skl,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2410,plain,
    iext(uri_rdf_rest,sK201_skl,sK200_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2411,plain,
    iext(uri_rdf_first,sK200_skl,sK199_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2412,plain,
    iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2413,plain,
    iext(uri_owl_inverseOf,sK199_skl,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f4080,plain,
    ! [X0,X1,X2] :
      ( ip(uri_ex_p)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sK201_skl)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK201_skl,X0) ),
    inference(resolution,[status(thm)],[f1980,f2409]) ).

fof(f4082,plain,
    ! [X0,X1] :
      ( ip(uri_ex_p)
      | ~ iext(uri_owl_propertyChainAxiom,X1,sK201_skl)
      | ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK200_skl,X0) ),
    inference(resolution,[status(thm)],[f4080,f2410]) ).

fof(f4083,plain,
    ! [X0,X1] :
      ( ip(uri_ex_p)
      | ~ iext(uri_owl_propertyChainAxiom,X1,sK201_skl)
      | ~ iext(uri_rdf_first,sK200_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4082,f2412]) ).

fof(f4382,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( iext(X2,X3,X5)
      | ~ iext(X1,X4,X5)
      | ~ iext(uri_ex_p,X3,X4)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sK201_skl)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK201_skl,X0) ),
    inference(resolution,[status(thm)],[f1982,f2409]) ).

fof(f4384,plain,
    ! [X0,X1,X2,X3,X4] :
      ( iext(X1,X2,X4)
      | ~ iext(X0,X3,X4)
      | ~ iext(uri_ex_p,X2,X3)
      | ~ iext(uri_owl_propertyChainAxiom,X1,sK201_skl)
      | ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK200_skl,X0) ),
    inference(resolution,[status(thm)],[f4382,f2410]) ).

fof(f4385,plain,
    ! [X0,X1,X2,X3,X4] :
      ( iext(X1,X2,X4)
      | ~ iext(X0,X3,X4)
      | ~ iext(uri_ex_p,X2,X3)
      | ~ iext(uri_owl_propertyChainAxiom,X1,sK201_skl)
      | ~ iext(uri_rdf_first,sK200_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4384,f2412]) ).

fof(f4420,plain,
    ! [X0] :
      ( ip(uri_ex_p)
      | ~ iext(uri_owl_propertyChainAxiom,X0,sK201_skl) ),
    inference(resolution,[status(thm)],[f4083,f2411]) ).

fof(f4541,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[f4420,f2408]) ).

fof(f4543,plain,
    ( iext(uri_ex_p,sK174_skl(uri_ex_p),sK175_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f4541,f2032]) ).

fof(f4544,plain,
    ( iext(uri_ex_p,sK173_skl(uri_ex_p),sK175_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f4541,f2031]) ).

fof(f4545,plain,
    ( sK173_skl(uri_ex_p) != sK174_skl(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f4541,f2033]) ).

fof(f4604,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X0,X1,X3)
      | ~ iext(sK199_skl,X2,X3)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X0,sK201_skl) ),
    inference(resolution,[status(thm)],[f4385,f2411]) ).

fof(f10738,plain,
    ! [X0,X1,X2] :
      ( iext(uri_owl_sameAs,X0,X2)
      | ~ iext(sK199_skl,X1,X2)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[f4604,f2408]) ).

fof(f10748,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X1,X0)
      | iext(sK199_skl,X0,X1) ),
    inference(resolution,[status(thm)],[f2413,f2005]) ).

fof(f10758,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(sK199_skl,sK175_skl(uri_ex_p),sK174_skl(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f10748,f4543]) ).

fof(f10991,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
      | iext(uri_owl_sameAs,sK173_skl(uri_ex_p),X0)
      | ~ iext(sK199_skl,sK175_skl(uri_ex_p),X0) ),
    inference(resolution,[status(thm)],[f10738,f4544]) ).

fof(f10993,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,sK173_skl(uri_ex_p),sK174_skl(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f10991,f10758]) ).

fof(f10995,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,sK173_skl(uri_ex_p),sK174_skl(uri_ex_p)) ),
    inference(duplicate_literals_removal,[status(thm)],[f10993]) ).

fof(f10997,plain,
    ( sK173_skl(uri_ex_p) = sK174_skl(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f10995,f1834]) ).

fof(f11003,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(forward_subsumption_resolution,[status(thm)],[f10997,f4545]) ).

fof(f11006,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(resolution,[status(thm)],[f11003,f595]) ).

fof(f11007,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f11006,f2405]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB027+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n006.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 07:41:42 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.13/0.40  % Drodi V4.1.1
% 295.87/37.84  % Refutation found
% 295.87/37.84  % SZS status Theorem for theBenchmark: Theorem is valid
% 295.87/37.84  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 74.40/37.94  % Elapsed time: 37.568466 seconds
% 74.40/37.94  % CPU time: 296.958704 seconds
% 74.40/37.94  % Total memory used: 460.684 MB
% 74.40/37.94  % Net memory used: 433.656 MB
%------------------------------------------------------------------------------