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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 : Fri Sep 25 03:04:31 PM UTC 2026

% Result   : Theorem 10.07s 2.30s
% Output   : CNFRefutation 10.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  113 (  15 unt;   0 def)
%            Number of atoms       :  541 (  29 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  702 ( 274   ~; 289   |; 120   &)
%                                         (  15 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  11 con; 0-3 aty)
%            Number of variables   :  270 (   0 sgn 234   !;  36   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ic(uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).

fof(f4,axiom,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X1,X2) )
           => X2 = X3 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_functional) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_someValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_inverseOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
          <=> iext(X1,X3,X2) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).

fof(f10,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).

fof(f11,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f10]) ).

fof(f12,axiom,
    ? [X0] :
      ( iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty)
      & iext(uri_owl_onProperty,X0,uri_owl_inverseOf)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).

fof(f13,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f11]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2)
            | X2 = X3 )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f17,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2)
            | X2 = X3 )
        & ip(X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2)
              | X2 = X3 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f24,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2)
              | X2 = X3 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5)
              | X5 = X6 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5)
              | X5 = X6 )
          & ip(X0) ) )
      & ( ( iext(X0,sK0(X0),sK2(X0))
          & iext(X0,sK0(X0),sK1(X0))
          & sK1(X0) != sK2(X0) )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f25]) ).

fof(f27,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f28,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f28]) ).

fof(f30,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ( iext(X0,sK4(X0),sK5(X0))
          & iext(X0,sK3(X0),sK5(X0))
          & sK3(X0) != sK4(X0) )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK6(X0,X1))
          & ~ icext(X1,sK6(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f35]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f36]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( ( icext(X0,sK7(X0,X1))
            | icext(X1,sK7(X0,X1)) )
          & ( ~ icext(X0,sK7(X0,X1))
            | ~ icext(X1,sK7(X0,X1)) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f37]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X4] :
                ( icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X5] :
                ( icext(X2,X5)
                & iext(X1,X3,X5) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ( icext(X2,sK8(X1,X2,X3))
              & iext(X1,X3,sK8(X1,X2,X3)) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X5,sK8(X1,X2,X3))],[f40]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_inverseOf,X0,X1)
        | ( ! [X2,X3] :
              ( ( ~ iext(X0,X2,X3)
                | iext(X1,X3,X2) )
              & ( ~ iext(X1,X3,X2)
                | iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X3,X2) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X3,X2) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_inverseOf,X0,X1)
        | ( ! [X2,X3] :
              ( ( ~ iext(X0,X2,X3)
                | iext(X1,X3,X2) )
              & ( ~ iext(X1,X3,X2)
                | iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X3,X2) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X3,X2) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(flattening,[],[f42]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_inverseOf,X0,X1)
        | ( ! [X4,X5] :
              ( ( ~ iext(X0,X4,X5)
                | iext(X1,X5,X4) )
              & ( ~ iext(X1,X5,X4)
                | iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X3,X2) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X3,X2) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(rectify,[],[f43]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_inverseOf,X0,X1)
        | ( ! [X4,X5] :
              ( ( ~ iext(X0,X4,X5)
                | iext(X1,X5,X4) )
              & ( ~ iext(X1,X5,X4)
                | iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( ( iext(X0,sK9(X0,X1),sK10(X0,X1))
            | iext(X1,sK10(X0,X1),sK9(X0,X1)) )
          & ( ~ iext(X0,sK9(X0,X1),sK10(X0,X1))
            | ~ iext(X1,sK10(X0,X1),sK9(X0,X1)) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1))],[f44]) ).

fof(f46,plain,
    ( iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
    & iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
    & iext(uri_rdf_type,sK11,uri_owl_Restriction)
    & iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f12]) ).

fof(f47,plain,
    ic(uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f1]) ).

fof(f52,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X4,X6)
      | ~ iext(X0,X4,X5)
      | X5 = X6 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f59,plain,
    ! [X0] :
      ( iext(X0,sK4(X0),sK5(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f60,plain,
    ! [X0] :
      ( iext(X0,sK3(X0),sK5(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f61,plain,
    ! [X0] :
      ( sK3(X0) != sK4(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f62,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( icext(X0,sK6(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK6(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f67,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sK8(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sK8(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f76,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ~ iext(X0,X4,X5)
      | iext(X1,X5,X4) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f82,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f13]) ).

fof(f83,plain,
    iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f46]) ).

fof(f84,plain,
    iext(uri_owl_onProperty,sK11,uri_owl_inverseOf),
    inference(cnf_transformation,[],[f46]) ).

fof(f86,plain,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_49,plain,
    ic(uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X1,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0)
      | ( sK3(X0) != sK4(X0) ) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | iext(X0,sK3(X0),sK5(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_61,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | iext(X0,sK4(X0),sK5(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X0,sK6(X1,X0)) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK6(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X0)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X1)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X2,X3,sK8(X2,X1,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_someValuesFrom,X0,X1) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X1,sK8(X2,X1,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_someValuesFrom,X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( ip(X0)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X3,X2,X1)
      | ~ iext(uri_owl_inverseOf,X0,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_84,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_85,plain,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_87,plain,
    iext(uri_owl_onProperty,sK11,uri_owl_inverseOf),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_88,plain,
    iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_1028,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
    | ~ ic(uri_ex_InversesOfFunctionalProperties)
    | ~ ic(uri_owl_InverseFunctionalProperty)
    | ~ icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_1036,plain,
    ! [X0: $i] :
      ( ic(uri_ex_InversesOfFunctionalProperties)
      | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_1112,plain,
    ( ic(uri_ex_InversesOfFunctionalProperties)
    | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11) ),
    inference(instantiation,[status(thm)],[c_1036]) ).

tcf(c_1194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X3,sK6(X0,X1),sK8(X3,X2,sK6(X0,X1)))
      | ~ iext(uri_owl_onProperty,X0,X3)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,sK6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_76]) ).

tcf(c_1258,plain,
    ( ic(sK11)
    | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11) ),
    inference(instantiation,[status(thm)],[c_72]) ).

tcf(c_1375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(uri_owl_FunctionalProperty,sK8(X1,uri_owl_FunctionalProperty,X2))
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(instantiation,[status(thm)],[c_77]) ).

tcf(c_1379,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_inverseOf,sK6(sK11,X0),sK8(uri_owl_inverseOf,X1,sK6(sK11,X0)))
      | ~ iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
      | ~ iext(uri_owl_someValuesFrom,sK11,X1)
      | ~ icext(sK11,sK6(sK11,X0)) ),
    inference(instantiation,[status(thm)],[c_1194]) ).

tcf(c_1419,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,sK11,X0)
      | ~ ic(sK11)
      | ~ ic(X0)
      | ~ icext(X0,sK6(sK11,X0)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_1510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X2,sK6(X0,X1))
      | ~ iext(uri_owl_equivalentClass,X0,X2)
      | ~ icext(X0,sK6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_1708,plain,
    ! [X0: $i] :
      ( iext(uri_owl_inverseOf,sK6(sK11,X0),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,X0)))
      | ~ iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
      | ~ iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
      | ~ icext(sK11,sK6(sK11,X0)) ),
    inference(instantiation,[status(thm)],[c_1379]) ).

tcf(c_1828,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(uri_owl_FunctionalProperty,sK8(X2,uri_owl_FunctionalProperty,sK6(X0,X1)))
      | ~ iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ icext(X0,sK6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_1375]) ).

tcf(c_2590,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_FunctionalProperty,sK8(X1,uri_owl_FunctionalProperty,sK6(sK11,X0)))
      | ~ iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
      | ~ iext(uri_owl_onProperty,sK11,X1)
      | ~ icext(sK11,sK6(sK11,X0)) ),
    inference(instantiation,[status(thm)],[c_1828]) ).

tcf(c_2932,plain,
    ! [X0: $i] :
      ( iext(uri_rdfs_subClassOf,X0,uri_owl_InverseFunctionalProperty)
      | icext(X0,sK6(X0,uri_owl_InverseFunctionalProperty))
      | ~ ic(uri_owl_InverseFunctionalProperty)
      | ~ ic(X0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_3151,plain,
    ! [X0: $i] :
      ( icext(uri_owl_FunctionalProperty,sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,X0)))
      | ~ iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
      | ~ iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
      | ~ icext(sK11,sK6(sK11,X0)) ),
    inference(instantiation,[status(thm)],[c_2590]) ).

tcf(c_3319,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
    | icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ ic(uri_ex_InversesOfFunctionalProperties)
    | ~ ic(uri_owl_InverseFunctionalProperty) ),
    inference(instantiation,[status(thm)],[c_2932]) ).

tcf(c_3320,plain,
    ( iext(uri_rdfs_subClassOf,sK11,uri_owl_InverseFunctionalProperty)
    | icext(sK11,sK6(sK11,uri_owl_InverseFunctionalProperty))
    | ~ ic(sK11)
    | ~ ic(uri_owl_InverseFunctionalProperty) ),
    inference(instantiation,[status(thm)],[c_2932]) ).

tcf(c_3689,plain,
    ! [X0: $i] :
      ( icext(X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
      | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0)
      | ~ icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_1510]) ).

tcf(c_4188,plain,
    ( icext(sK11,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11)
    | ~ icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_3689]) ).

tcf(c_4413,plain,
    ( icext(uri_owl_FunctionalProperty,sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
    | ~ iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
    | ~ icext(sK11,sK6(sK11,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_3151]) ).

tcf(c_4414,plain,
    ( iext(uri_owl_inverseOf,sK6(sK11,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
    | ~ iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty)
    | ~ icext(sK11,sK6(sK11,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_1708]) ).

tcf(c_4822,plain,
    ! [X0: $i] :
      ( icext(X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
      | ~ iext(uri_rdfs_subClassOf,sK11,X0)
      | ~ icext(sK11,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_6184,plain,
    ( ip(sK6(sK11,uri_owl_InverseFunctionalProperty))
    | ~ iext(uri_owl_inverseOf,sK6(sK11,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_6187,plain,
    ! [X0: $i,X1: $i] :
      ( iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)),X1,X0)
      | ~ iext(sK6(sK11,uri_owl_InverseFunctionalProperty),X0,X1)
      | ~ iext(uri_owl_inverseOf,sK6(sK11,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_7891,plain,
    ( icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ iext(uri_rdfs_subClassOf,sK11,uri_owl_InverseFunctionalProperty)
    | ~ icext(sK11,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_4822]) ).

tcf(c_8149,plain,
    ( icext(uri_owl_InverseFunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty))
    | ~ ip(sK6(sK11,uri_owl_InverseFunctionalProperty))
    | ( sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)) != sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)) ) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_8151,plain,
    ( icext(uri_owl_InverseFunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty))
    | iext(sK6(sK11,uri_owl_InverseFunctionalProperty),sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ ip(sK6(sK11,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_8152,plain,
    ( icext(uri_owl_InverseFunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty))
    | iext(sK6(sK11,uri_owl_InverseFunctionalProperty),sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ ip(sK6(sK11,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_9387,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)) = sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)) )
      | ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X1,sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)))
      | ~ iext(X0,X1,sK3(sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_11054,plain,
    ( iext(uri_rdfs_subClassOf,sK11,uri_owl_InverseFunctionalProperty)
    | ~ ic(sK11)
    | ~ ic(uri_owl_InverseFunctionalProperty)
    | ~ icext(uri_owl_InverseFunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)) ),
    inference(instantiation,[status(thm)],[c_1419]) ).

tcf(c_13784,plain,
    ( iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,sK6(sK11,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(sK6(sK11,uri_owl_InverseFunctionalProperty),sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_6187]) ).

tcf(c_13809,plain,
    ( iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,sK6(sK11,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(sK6(sK11,uri_owl_InverseFunctionalProperty),sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_6187]) ).

tcf(c_15110,plain,
    ( ( sK3(sK6(sK11,uri_owl_InverseFunctionalProperty)) = sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)) )
    | ~ icext(uri_owl_FunctionalProperty,sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK4(sK6(sK11,uri_owl_InverseFunctionalProperty)))
    | ~ iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(sK11,uri_owl_InverseFunctionalProperty)),sK5(sK6(sK11,uri_owl_InverseFunctionalProperty)),sK3(sK6(sK11,uri_owl_InverseFunctionalProperty))) ),
    inference(instantiation,[status(thm)],[c_9387]) ).

tcf(c_15111,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15110,c_13809,c_13784,c_11054,c_8149,c_8151,c_8152,c_7891,c_6184,c_4413,c_4414,c_4188,c_3320,c_3319,c_1258,c_1112,c_1028,c_84,c_85,c_87,c_88,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  % Computer : n015.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Thu Sep 24 15:39:11 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44  
% 0.12/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44  
% 0.12/0.44  % Detected problem language: tptp
% 0.12/0.45  % Proving...
% 10.07/2.30  % SZS status Started for theBenchmark.p
% 10.07/2.30  % SZS status Theorem for theBenchmark.p
% 10.07/2.30  
% 10.07/2.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.07/2.30  
% 10.07/2.30  % ------  iProver source info
% 10.07/2.30  
% 10.07/2.30  % git: date: 2026-07-19 20:42:38 +0200
% 10.07/2.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.07/2.30  % git: non_committed_changes: false
% 10.07/2.30  
% 10.07/2.30  % ------ Parsing...
% 10.07/2.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.07/2.30  
% 10.07/2.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 10.07/2.30  
% 10.07/2.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.07/2.30  
% 10.07/2.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.07/2.30  % ------ Proving...
% 10.07/2.30  % ------ Problem Properties 
% 10.07/2.30  
% 10.07/2.30  % 
% 10.07/2.30  % clauses                               36
% 10.07/2.30  % conjectures                           1
% 10.07/2.30  % EPR                                   22
% 10.07/2.30  % Horn                                  29
% 10.07/2.30  % unary                                 6
% 10.07/2.30  % binary                                8
% 10.07/2.30  % lits                                  104
% 10.07/2.30  % lits eq                               4
% 10.07/2.30  % fd_pure                               0
% 10.07/2.30  % fd_pseudo                             0
% 10.07/2.30  % fd_cond                               0
% 10.07/2.30  % fd_pseudo_cond                        2
% 10.07/2.30  % AC symbols                            0
% 10.07/2.30  
% 10.07/2.30  % ------ Input Options Time Limit: Unbounded
% 10.07/2.30  
% 10.07/2.30  
% 10.07/2.30  % ------ 
% 10.07/2.30  % Current options:
% 10.07/2.30  % ------ 
% 10.07/2.30  
% 10.07/2.30  
% 10.07/2.30  % 
% 10.07/2.30  
% 10.07/2.30  % ------ Proving...
% 10.07/2.30  % 
% 10.07/2.30  
% 10.07/2.30  % SZS status Theorem for theBenchmark.p
% 10.07/2.30  
% 10.07/2.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.07/2.30  
% 10.07/2.30  
%------------------------------------------------------------------------------