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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB027+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 : 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 02:37:11 PM UTC 2026

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   58 (  13 unt;   0 def)
%            Number of atoms       :  285 (  17 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  353 ( 126   ~; 137   |;  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   :  171 ( 149   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,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(f10,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)],[f9]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f13,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f2]) ).

fof(f14,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)],[f13]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f17,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)],[f3]) ).

fof(f18,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)],[f17]) ).

fof(f19,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)],[f18]) ).

fof(f20,plain,
    ! [S1,P1,P2] :
      ( ( ! [P] :
            ( ( ~ iext(P,sK0_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
              & iext(P2,sK2_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
              & iext(P1,sK0_skl(P,P2,P1,S1),sK2_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,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(P,P2,P1,S1)),skolemize(Y2,sK1_skl(P,P2,P1,S1)),skolemize(Y1,sK2_skl(P,P2,P1,S1))],[f19]) ).

fof(f24,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)],[f20]) ).

fof(f28,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)],[f4]) ).

fof(f29,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)],[f28]) ).

fof(f30,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)],[f29]) ).

fof(f31,plain,
    ( ! [P] :
        ( ( sK3_skl(P) != sK4_skl(P)
          & iext(P,sK4_skl(P),sK5_skl(P))
          & iext(P,sK3_skl(P),sK5_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,[sK3_skl,sK4_skl,sK5_skl]),skolemize(X1,sK3_skl(P)),skolemize(X2,sK4_skl(P)),skolemize(Y,sK5_skl(P))],[f30]) ).

fof(f34,plain,
    ! [X0] :
      ( iext(X0,sK3_skl(X0),sK5_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f35,plain,
    ! [X0] :
      ( iext(X0,sK4_skl(X0),sK5_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f36,plain,
    ! [X0] :
      ( sK3_skl(X0) != sK4_skl(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f37,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)],[f5]) ).

fof(f38,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)],[f37]) ).

fof(f39,plain,
    ( ! [P1,P2] :
        ( ( ( iext(P2,sK7_skl(P2,P1),sK6_skl(P2,P1))
            | iext(P1,sK6_skl(P2,P1),sK7_skl(P2,P1)) )
          & ( ~ iext(P2,sK7_skl(P2,P1),sK6_skl(P2,P1))
            | ~ iext(P1,sK6_skl(P2,P1),sK7_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,[sK6_skl,sK7_skl]),skolemize(X,sK6_skl(P2,P1)),skolemize(Y,sK7_skl(P2,P1))],[f38]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ip(X1)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X1,X3,X2)
      | iext(X0,X2,X3)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f46,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f47,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)],[f8]) ).

fof(f48,plain,
    ( iext(uri_owl_inverseOf,sK8_skl,uri_ex_p)
    & iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK9_skl,sK8_skl)
    & iext(uri_rdf_rest,sK10_skl,sK9_skl)
    & iext(uri_rdf_first,sK10_skl,uri_ex_p)
    & iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK10_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl]),skolemize(BNODE_v,sK8_skl),skolemize(BNODE_l2,sK9_skl),skolemize(BNODE_l1,sK10_skl)],[f47]) ).

fof(f49,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK10_skl),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    iext(uri_rdf_first,sK10_skl,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f51,plain,
    iext(uri_rdf_rest,sK10_skl,sK9_skl),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f52,plain,
    iext(uri_rdf_first,sK9_skl,sK8_skl),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f53,plain,
    iext(uri_rdf_rest,sK9_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f54,plain,
    iext(uri_owl_inverseOf,sK8_skl,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f74,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[f41,f54]) ).

fof(f75,plain,
    ( sK3_skl(uri_ex_p) != sK4_skl(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f36,f74]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X1,X0)
      | iext(sK8_skl,X0,X1) ),
    inference(resolution,[status(thm)],[f43,f54]) ).

fof(f79,plain,
    ( iext(uri_ex_p,sK3_skl(uri_ex_p),sK5_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f34,f74]) ).

fof(f81,plain,
    ( iext(uri_ex_p,sK4_skl(uri_ex_p),sK5_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f35,f74]) ).

fof(f83,plain,
    ( iext(sK8_skl,sK5_skl(uri_ex_p),sK3_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f79,f78]) ).

fof(f98,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,sK10_skl)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK10_skl,X0) ),
    inference(resolution,[status(thm)],[f24,f50]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X0,X1,X3)
      | ~ iext(sK8_skl,X2,X3)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X0,sK10_skl)
      | ~ iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,sK10_skl,sK9_skl) ),
    inference(resolution,[status(thm)],[f98,f52]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X0,X1,X3)
      | ~ iext(sK8_skl,X2,X3)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X0,sK10_skl)
      | ~ iext(uri_rdf_rest,sK9_skl,uri_rdf_nil) ),
    inference(forward_subsumption_resolution,[status(thm)],[f126,f51]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X0,X1,X3)
      | ~ iext(sK8_skl,X2,X3)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X0,sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f128,f53]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( iext(uri_owl_sameAs,X0,X2)
      | ~ iext(sK8_skl,X1,X2)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[f129,f49]) ).

fof(f131,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
      | iext(uri_owl_sameAs,sK4_skl(uri_ex_p),X0)
      | ~ iext(sK8_skl,sK5_skl(uri_ex_p),X0) ),
    inference(resolution,[status(thm)],[f130,f81]) ).

fof(f133,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,sK4_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f131,f83]) ).

fof(f134,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,sK4_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    inference(duplicate_literals_removal,[status(thm)],[f133]) ).

fof(f149,plain,
    ( sK4_skl(uri_ex_p) = sK3_skl(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f134,f15]) ).

fof(f151,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(forward_subsumption_resolution,[status(thm)],[f149,f75]) ).

fof(f153,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(resolution,[status(thm)],[f151,f12]) ).

fof(f154,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f153,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n020.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 07:42:47 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.35  % Drodi V4.1.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40  % Elapsed time: 0.047674 seconds
% 0.12/0.40  % CPU time: 0.110191 seconds
% 0.12/0.40  % Total memory used: 21.447 MB
% 0.12/0.40  % Net memory used: 21.333 MB
%------------------------------------------------------------------------------