TSTP Solution File: SWB004+2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 19:15:16 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  177 (  62 unt;   0 def)
%            Number of atoms       :  443 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  475 ( 209   ~; 170   |;  54   &)
%                                         (  32 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  136 (   5 sgn  95   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
    ! [X] : ir(X) ).

fof(rdfs_cext_def,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ) ).

fof(owl_parts_idc_cond_set,axiom,
    ! [X] :
      ( idc(X)
     => ic(X) ) ).

fof(owl_class_classowl_type,axiom,
    ic(uri_owl_Class) ).

fof(owl_class_classowl_ext,axiom,
    ! [X] :
      ( icext(uri_owl_Class,X)
    <=> ic(X) ) ).

fof(owl_class_classrdfs_type,axiom,
    ic(uri_rdfs_Class) ).

fof(owl_class_classrdfs_ext,axiom,
    ! [X] :
      ( icext(uri_rdfs_Class,X)
    <=> ic(X) ) ).

fof(owl_class_datatype_type,axiom,
    ic(uri_rdfs_Datatype) ).

fof(owl_class_datatype_ext,axiom,
    ! [X] :
      ( icext(uri_rdfs_Datatype,X)
    <=> idc(X) ) ).

fof(owl_class_thing_type,axiom,
    ic(uri_owl_Thing) ).

fof(owl_class_thing_ext,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
           => icext(C2,X) ) ) ) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) ) ) ) ).

fof(testcase_conclusion_fullish_004_Axiomatic_Triples,conjecture,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ) ).

fof(subgoal_0,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(strip,[],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(subgoal_1,plain,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
   => iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(strip,[],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(subgoal_2,plain,
    ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) )
   => iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(strip,[],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(subgoal_3,plain,
    ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) )
   => iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(strip,[],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(subgoal_4,plain,
    ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) )
   => iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(strip,[],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(negate_0_0,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ icext(uri_owl_Thing,X)
    <=> ~ ir(X) ),
    inference(canonicalize,[],[owl_class_thing_ext]) ).

fof(normalize_0_2,plain,
    ! [X] : ir(X),
    inference(canonicalize,[],[simple_ir]) ).

fof(normalize_0_3,plain,
    ! [X] : ir(X),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] : icext(uri_owl_Thing,X),
    inference(simplify,[],[normalize_0_1,normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] : icext(uri_owl_Thing,X),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(canonicalize,[],[rdfs_cext_def]) ).

fof(normalize_0_7,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [C,X] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) ) ),
    inference(clausify,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [C,X] :
      ( ~ icext(C,X)
      | iext(uri_rdf_type,X,C) ),
    inference(conjunct,[],[normalize_0_8]) ).

cnf(refute_0_0,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    icext(uri_owl_Thing,X),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    icext(uri_owl_Thing,X_18),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_18))]]) ).

cnf(refute_0_3,plain,
    ( ~ icext(C,X)
    | iext(uri_rdf_type,X,C) ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_4,plain,
    ( ~ icext(uri_owl_Thing,X_18)
    | iext(uri_rdf_type,X_18,uri_owl_Thing) ),
    inference(subst,[],[refute_0_3:[bind(C,$fot(uri_owl_Thing)),bind(X,$fot(X_18))]]) ).

cnf(refute_0_5,plain,
    iext(uri_rdf_type,X_18,uri_owl_Thing),
    inference(resolve,[$cnf( icext(uri_owl_Thing,X_18) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(subst,[],[refute_0_5:[bind(X_18,$fot(uri_owl_Class))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) )],[refute_0_6,refute_0_0]) ).

fof(negate_1_0,plain,
    ~ ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
     => iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[owl_class_classowl_type]) ).

fof(normalize_1_1,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[owl_class_classowl_ext]) ).

fof(normalize_1_2,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(specialize,[],[normalize_1_1]) ).

fof(normalize_1_3,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_owl_Class,X) )
      & ( ~ icext(uri_owl_Class,X)
        | ic(X) ) ),
    inference(clausify,[],[normalize_1_2]) ).

fof(normalize_1_4,plain,
    ! [X] :
      ( ~ ic(X)
      | icext(uri_owl_Class,X) ),
    inference(conjunct,[],[normalize_1_3]) ).

fof(normalize_1_5,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(canonicalize,[],[rdfs_cext_def]) ).

fof(normalize_1_6,plain,
    ! [C,X] :
      ( ~ icext(C,X)
    <=> ~ iext(uri_rdf_type,X,C) ),
    inference(specialize,[],[normalize_1_5]) ).

fof(normalize_1_7,plain,
    ! [C,X] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) ) ),
    inference(clausify,[],[normalize_1_6]) ).

fof(normalize_1_8,plain,
    ! [C,X] :
      ( ~ icext(C,X)
      | iext(uri_rdf_type,X,C) ),
    inference(conjunct,[],[normalize_1_7]) ).

fof(normalize_1_9,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_10,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(conjunct,[],[normalize_1_9]) ).

cnf(refute_1_0,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[normalize_1_0]) ).

cnf(refute_1_1,plain,
    ( ~ ic(X)
    | icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[normalize_1_4]) ).

cnf(refute_1_2,plain,
    ( ~ ic(uri_owl_Class)
    | icext(uri_owl_Class,uri_owl_Class) ),
    inference(subst,[],[refute_1_1:[bind(X,$fot(uri_owl_Class))]]) ).

cnf(refute_1_3,plain,
    icext(uri_owl_Class,uri_owl_Class),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_1_0,refute_1_2]) ).

cnf(refute_1_4,plain,
    ( ~ icext(C,X)
    | iext(uri_rdf_type,X,C) ),
    inference(canonicalize,[],[normalize_1_8]) ).

cnf(refute_1_5,plain,
    ( ~ icext(uri_owl_Class,uri_owl_Class)
    | iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(subst,[],[refute_1_4:[bind(C,$fot(uri_owl_Class)),bind(X,$fot(uri_owl_Class))]]) ).

cnf(refute_1_6,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(resolve,[$cnf( icext(uri_owl_Class,uri_owl_Class) )],[refute_1_3,refute_1_5]) ).

cnf(refute_1_7,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(canonicalize,[],[normalize_1_10]) ).

cnf(refute_1_8,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) )],[refute_1_6,refute_1_7]) ).

fof(negate_2_0,plain,
    ~ ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
        & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) )
     => iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(negate,[],[subgoal_2]) ).

fof(normalize_2_0,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[owl_class_classowl_type]) ).

fof(normalize_2_1,plain,
    ! [X] :
      ( ~ icext(uri_owl_Thing,X)
    <=> ~ ir(X) ),
    inference(canonicalize,[],[owl_class_thing_ext]) ).

fof(normalize_2_2,plain,
    ! [X] : ir(X),
    inference(canonicalize,[],[simple_ir]) ).

fof(normalize_2_3,plain,
    ! [X] : ir(X),
    inference(specialize,[],[normalize_2_2]) ).

fof(normalize_2_4,plain,
    ! [X] : icext(uri_owl_Thing,X),
    inference(simplify,[],[normalize_2_1,normalize_2_3]) ).

fof(normalize_2_5,plain,
    ! [X] : icext(uri_owl_Thing,X),
    inference(specialize,[],[normalize_2_4]) ).

fof(normalize_2_6,plain,
    ! [C1,C2] :
      ( ~ iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) ) ) ),
    inference(canonicalize,[],[owl_rdfsext_subclassof]) ).

fof(normalize_2_7,plain,
    ! [C1,C2] :
      ( ~ iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) ) ) ),
    inference(specialize,[],[normalize_2_6]) ).

fof(normalize_2_8,plain,
    ! [C1,C2,X] :
      ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ic(C1) )
      & ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ic(C2) )
      & ( ~ icext(C1,X)
        | ~ iext(uri_rdfs_subClassOf,C1,C2)
        | icext(C2,X) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | icext(C1,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(clausify,[],[normalize_2_7]) ).

fof(normalize_2_9,plain,
    ! [C1,C2] :
      ( ~ ic(C1)
      | ~ ic(C2)
      | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
      | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(conjunct,[],[normalize_2_8]) ).

fof(normalize_2_10,plain,
    ic(uri_owl_Thing),
    inference(canonicalize,[],[owl_class_thing_type]) ).

fof(normalize_2_11,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(canonicalize,[],[negate_2_0]) ).

fof(normalize_2_12,plain,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(conjunct,[],[normalize_2_11]) ).

cnf(refute_2_0,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[normalize_2_0]) ).

cnf(refute_2_1,plain,
    icext(uri_owl_Thing,X),
    inference(canonicalize,[],[normalize_2_5]) ).

cnf(refute_2_2,plain,
    icext(uri_owl_Thing,skolemFOFtoCNF_X(X_88,uri_owl_Thing)),
    inference(subst,[],[refute_2_1:[bind(X,$fot(skolemFOFtoCNF_X(X_88,uri_owl_Thing)))]]) ).

cnf(refute_2_3,plain,
    ( ~ ic(C1)
    | ~ ic(C2)
    | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
    | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(canonicalize,[],[normalize_2_9]) ).

cnf(refute_2_4,plain,
    ( ~ ic(X_88)
    | ~ ic(uri_owl_Thing)
    | ~ icext(uri_owl_Thing,skolemFOFtoCNF_X(X_88,uri_owl_Thing))
    | iext(uri_rdfs_subClassOf,X_88,uri_owl_Thing) ),
    inference(subst,[],[refute_2_3:[bind(C1,$fot(X_88)),bind(C2,$fot(uri_owl_Thing))]]) ).

cnf(refute_2_5,plain,
    ( ~ ic(X_88)
    | ~ ic(uri_owl_Thing)
    | iext(uri_rdfs_subClassOf,X_88,uri_owl_Thing) ),
    inference(resolve,[$cnf( icext(uri_owl_Thing,skolemFOFtoCNF_X(X_88,uri_owl_Thing)) )],[refute_2_2,refute_2_4]) ).

cnf(refute_2_6,plain,
    ic(uri_owl_Thing),
    inference(canonicalize,[],[normalize_2_10]) ).

cnf(refute_2_7,plain,
    ( ~ ic(X_88)
    | iext(uri_rdfs_subClassOf,X_88,uri_owl_Thing) ),
    inference(resolve,[$cnf( ic(uri_owl_Thing) )],[refute_2_6,refute_2_5]) ).

cnf(refute_2_8,plain,
    ( ~ ic(uri_owl_Class)
    | iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(subst,[],[refute_2_7:[bind(X_88,$fot(uri_owl_Class))]]) ).

cnf(refute_2_9,plain,
    iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_2_0,refute_2_8]) ).

cnf(refute_2_10,plain,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(canonicalize,[],[normalize_2_12]) ).

cnf(refute_2_11,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) )],[refute_2_9,refute_2_10]) ).

fof(negate_3_0,plain,
    ~ ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
        & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
        & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) )
     => iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(negate,[],[subgoal_3]) ).

fof(normalize_3_0,plain,
    ! [C1,C2] :
      ( ~ iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C1,X)
          <=> icext(C2,X) ) ) ),
    inference(canonicalize,[],[owl_eqdis_equivalentclass]) ).

fof(normalize_3_1,plain,
    ! [C1,C2] :
      ( ~ iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C1,X)
          <=> icext(C2,X) ) ) ),
    inference(specialize,[],[normalize_3_0]) ).

fof(normalize_3_2,plain,
    ! [C1,C2,X] :
      ( ( ~ iext(uri_owl_equivalentClass,C1,C2)
        | ic(C1) )
      & ( ~ iext(uri_owl_equivalentClass,C1,C2)
        | ic(C2) )
      & ( ~ icext(C1,X)
        | ~ iext(uri_owl_equivalentClass,C1,C2)
        | icext(C2,X) )
      & ( ~ icext(C2,X)
        | ~ iext(uri_owl_equivalentClass,C1,C2)
        | icext(C1,X) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | ~ icext(C1,skolemFOFtoCNF_X_1(C1,C2))
        | ~ icext(C2,skolemFOFtoCNF_X_1(C1,C2))
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | icext(C1,skolemFOFtoCNF_X_1(C1,C2))
        | icext(C2,skolemFOFtoCNF_X_1(C1,C2))
        | iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(clausify,[],[normalize_3_1]) ).

fof(normalize_3_3,plain,
    ! [C1,C2] :
      ( ~ ic(C1)
      | ~ ic(C2)
      | ~ icext(C1,skolemFOFtoCNF_X_1(C1,C2))
      | ~ icext(C2,skolemFOFtoCNF_X_1(C1,C2))
      | iext(uri_owl_equivalentClass,C1,C2) ),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_4,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_rdfs_Class,X) ),
    inference(canonicalize,[],[owl_class_classrdfs_ext]) ).

fof(normalize_3_5,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_rdfs_Class,X) ),
    inference(specialize,[],[normalize_3_4]) ).

fof(normalize_3_6,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_rdfs_Class,X) )
      & ( ~ icext(uri_rdfs_Class,X)
        | ic(X) ) ),
    inference(clausify,[],[normalize_3_5]) ).

fof(normalize_3_7,plain,
    ! [X] :
      ( ~ ic(X)
      | icext(uri_rdfs_Class,X) ),
    inference(conjunct,[],[normalize_3_6]) ).

fof(normalize_3_8,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[owl_class_classowl_ext]) ).

fof(normalize_3_9,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(specialize,[],[normalize_3_8]) ).

fof(normalize_3_10,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_owl_Class,X) )
      & ( ~ icext(uri_owl_Class,X)
        | ic(X) ) ),
    inference(clausify,[],[normalize_3_9]) ).

fof(normalize_3_11,plain,
    ! [X] :
      ( ~ icext(uri_owl_Class,X)
      | ic(X) ),
    inference(conjunct,[],[normalize_3_10]) ).

fof(normalize_3_12,plain,
    ! [X] :
      ( ~ icext(uri_rdfs_Class,X)
      | ic(X) ),
    inference(conjunct,[],[normalize_3_6]) ).

fof(normalize_3_13,plain,
    ic(uri_rdfs_Class),
    inference(canonicalize,[],[owl_class_classrdfs_type]) ).

fof(normalize_3_14,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[owl_class_classowl_type]) ).

fof(normalize_3_15,plain,
    ! [C1,C2] :
      ( ~ ic(C1)
      | ~ ic(C2)
      | icext(C1,skolemFOFtoCNF_X_1(C1,C2))
      | icext(C2,skolemFOFtoCNF_X_1(C1,C2))
      | iext(uri_owl_equivalentClass,C1,C2) ),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_16,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(canonicalize,[],[negate_3_0]) ).

fof(normalize_3_17,plain,
    ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(conjunct,[],[normalize_3_16]) ).

fof(normalize_3_18,plain,
    ! [X] :
      ( ~ ic(X)
      | icext(uri_owl_Class,X) ),
    inference(conjunct,[],[normalize_3_10]) ).

cnf(refute_3_0,plain,
    ( ~ ic(C1)
    | ~ ic(C2)
    | ~ icext(C1,skolemFOFtoCNF_X_1(C1,C2))
    | ~ icext(C2,skolemFOFtoCNF_X_1(C1,C2))
    | iext(uri_owl_equivalentClass,C1,C2) ),
    inference(canonicalize,[],[normalize_3_3]) ).

cnf(refute_3_1,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(subst,[],[refute_3_0:[bind(C1,$fot(uri_owl_Class)),bind(C2,$fot(uri_rdfs_Class))]]) ).

cnf(refute_3_2,plain,
    ( ~ ic(X)
    | icext(uri_rdfs_Class,X) ),
    inference(canonicalize,[],[normalize_3_7]) ).

cnf(refute_3_3,plain,
    ( ~ ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(subst,[],[refute_3_2:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)))]]) ).

cnf(refute_3_4,plain,
    ( ~ icext(uri_owl_Class,X)
    | ic(X) ),
    inference(canonicalize,[],[normalize_3_11]) ).

cnf(refute_3_5,plain,
    ( ~ icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)))]]) ).

cnf(refute_3_6,plain,
    ( ~ icext(uri_rdfs_Class,X)
    | ic(X) ),
    inference(canonicalize,[],[normalize_3_12]) ).

cnf(refute_3_7,plain,
    ( ~ icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)))]]) ).

cnf(refute_3_8,plain,
    ic(uri_rdfs_Class),
    inference(canonicalize,[],[normalize_3_13]) ).

cnf(refute_3_9,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[normalize_3_14]) ).

cnf(refute_3_10,plain,
    ( ~ ic(C1)
    | ~ ic(C2)
    | icext(C1,skolemFOFtoCNF_X_1(C1,C2))
    | icext(C2,skolemFOFtoCNF_X_1(C1,C2))
    | iext(uri_owl_equivalentClass,C1,C2) ),
    inference(canonicalize,[],[normalize_3_15]) ).

cnf(refute_3_11,plain,
    ( ~ ic(X_180)
    | ~ ic(uri_owl_Class)
    | icext(X_180,skolemFOFtoCNF_X_1(uri_owl_Class,X_180))
    | icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,X_180))
    | iext(uri_owl_equivalentClass,uri_owl_Class,X_180) ),
    inference(subst,[],[refute_3_10:[bind(C1,$fot(uri_owl_Class)),bind(C2,$fot(X_180))]]) ).

cnf(refute_3_12,plain,
    ( ~ ic(X_180)
    | icext(X_180,skolemFOFtoCNF_X_1(uri_owl_Class,X_180))
    | icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,X_180))
    | iext(uri_owl_equivalentClass,uri_owl_Class,X_180) ),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_3_9,refute_3_11]) ).

cnf(refute_3_13,plain,
    ( ~ ic(uri_rdfs_Class)
    | icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(subst,[],[refute_3_12:[bind(X_180,$fot(uri_rdfs_Class))]]) ).

cnf(refute_3_14,plain,
    ( icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolve,[$cnf( ic(uri_rdfs_Class) )],[refute_3_8,refute_3_13]) ).

cnf(refute_3_15,plain,
    ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(canonicalize,[],[normalize_3_17]) ).

cnf(refute_3_16,plain,
    ( icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolve,[$cnf( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) )],[refute_3_14,refute_3_15]) ).

cnf(refute_3_17,plain,
    ( ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolve,[$cnf( icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_16,refute_3_7]) ).

cnf(refute_3_18,plain,
    ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)),
    inference(resolve,[$cnf( icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_17,refute_3_5]) ).

cnf(refute_3_19,plain,
    icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)),
    inference(resolve,[$cnf( ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_18,refute_3_3]) ).

cnf(refute_3_20,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolve,[$cnf( icext(uri_rdfs_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_19,refute_3_1]) ).

cnf(refute_3_21,plain,
    ( ~ ic(uri_rdfs_Class)
    | ~ icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_3_9,refute_3_20]) ).

cnf(refute_3_22,plain,
    ( ~ icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolve,[$cnf( ic(uri_rdfs_Class) )],[refute_3_8,refute_3_21]) ).

cnf(refute_3_23,plain,
    ( ~ ic(X)
    | icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[normalize_3_18]) ).

cnf(refute_3_24,plain,
    ( ~ ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(subst,[],[refute_3_23:[bind(X,$fot(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)))]]) ).

cnf(refute_3_25,plain,
    icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)),
    inference(resolve,[$cnf( ic(skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_18,refute_3_24]) ).

cnf(refute_3_26,plain,
    iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(resolve,[$cnf( icext(uri_owl_Class,skolemFOFtoCNF_X_1(uri_owl_Class,uri_rdfs_Class)) )],[refute_3_25,refute_3_22]) ).

cnf(refute_3_27,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) )],[refute_3_26,refute_3_15]) ).

fof(negate_4_0,plain,
    ~ ( ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
        & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
        & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
        & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) )
     => iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(negate,[],[subgoal_4]) ).

fof(normalize_4_0,plain,
    ! [C1,C2] :
      ( ~ iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) ) ) ),
    inference(canonicalize,[],[owl_rdfsext_subclassof]) ).

fof(normalize_4_1,plain,
    ! [C1,C2] :
      ( ~ iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ~ ic(C1)
        | ~ ic(C2)
        | ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) ) ) ),
    inference(specialize,[],[normalize_4_0]) ).

fof(normalize_4_2,plain,
    ! [C1,C2,X] :
      ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ic(C1) )
      & ( ~ iext(uri_rdfs_subClassOf,C1,C2)
        | ic(C2) )
      & ( ~ icext(C1,X)
        | ~ iext(uri_rdfs_subClassOf,C1,C2)
        | icext(C2,X) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ~ ic(C1)
        | ~ ic(C2)
        | icext(C1,skolemFOFtoCNF_X(C1,C2))
        | iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(clausify,[],[normalize_4_1]) ).

fof(normalize_4_3,plain,
    ! [C1,C2] :
      ( ~ ic(C1)
      | ~ ic(C2)
      | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
      | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_4,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[owl_class_classowl_ext]) ).

fof(normalize_4_5,plain,
    ! [X] :
      ( ~ ic(X)
    <=> ~ icext(uri_owl_Class,X) ),
    inference(specialize,[],[normalize_4_4]) ).

fof(normalize_4_6,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_owl_Class,X) )
      & ( ~ icext(uri_owl_Class,X)
        | ic(X) ) ),
    inference(clausify,[],[normalize_4_5]) ).

fof(normalize_4_7,plain,
    ! [X] :
      ( ~ ic(X)
      | icext(uri_owl_Class,X) ),
    inference(conjunct,[],[normalize_4_6]) ).

fof(normalize_4_8,plain,
    ! [X] :
      ( ~ idc(X)
      | ic(X) ),
    inference(canonicalize,[],[owl_parts_idc_cond_set]) ).

fof(normalize_4_9,plain,
    ! [X] :
      ( ~ idc(X)
      | ic(X) ),
    inference(specialize,[],[normalize_4_8]) ).

fof(normalize_4_10,plain,
    ! [X] :
      ( ~ icext(uri_rdfs_Datatype,X)
    <=> ~ idc(X) ),
    inference(canonicalize,[],[owl_class_datatype_ext]) ).

fof(normalize_4_11,plain,
    ! [X] :
      ( ~ icext(uri_rdfs_Datatype,X)
    <=> ~ idc(X) ),
    inference(specialize,[],[normalize_4_10]) ).

fof(normalize_4_12,plain,
    ! [X] :
      ( ( ~ icext(uri_rdfs_Datatype,X)
        | idc(X) )
      & ( ~ idc(X)
        | icext(uri_rdfs_Datatype,X) ) ),
    inference(clausify,[],[normalize_4_11]) ).

fof(normalize_4_13,plain,
    ! [X] :
      ( ~ icext(uri_rdfs_Datatype,X)
      | idc(X) ),
    inference(conjunct,[],[normalize_4_12]) ).

fof(normalize_4_14,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[owl_class_classowl_type]) ).

fof(normalize_4_15,plain,
    ic(uri_rdfs_Datatype),
    inference(canonicalize,[],[owl_class_datatype_type]) ).

fof(normalize_4_16,plain,
    ! [C1,C2] :
      ( ~ ic(C1)
      | ~ ic(C2)
      | icext(C1,skolemFOFtoCNF_X(C1,C2))
      | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_17,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(canonicalize,[],[negate_4_0]) ).

fof(normalize_4_18,plain,
    ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(conjunct,[],[normalize_4_17]) ).

cnf(refute_4_0,plain,
    ( ~ ic(C1)
    | ~ ic(C2)
    | ~ icext(C2,skolemFOFtoCNF_X(C1,C2))
    | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(canonicalize,[],[normalize_4_3]) ).

cnf(refute_4_1,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | ~ icext(uri_owl_Class,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(subst,[],[refute_4_0:[bind(C1,$fot(uri_rdfs_Datatype)),bind(C2,$fot(uri_owl_Class))]]) ).

cnf(refute_4_2,plain,
    ( ~ ic(X)
    | icext(uri_owl_Class,X) ),
    inference(canonicalize,[],[normalize_4_7]) ).

cnf(refute_4_3,plain,
    ( ~ ic(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | icext(uri_owl_Class,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(subst,[],[refute_4_2:[bind(X,$fot(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)))]]) ).

cnf(refute_4_4,plain,
    ( ~ idc(X)
    | ic(X) ),
    inference(canonicalize,[],[normalize_4_9]) ).

cnf(refute_4_5,plain,
    ( ~ idc(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | ic(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(subst,[],[refute_4_4:[bind(X,$fot(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)))]]) ).

cnf(refute_4_6,plain,
    ( ~ icext(uri_rdfs_Datatype,X)
    | idc(X) ),
    inference(canonicalize,[],[normalize_4_13]) ).

cnf(refute_4_7,plain,
    ( ~ icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | idc(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(subst,[],[refute_4_6:[bind(X,$fot(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)))]]) ).

cnf(refute_4_8,plain,
    ic(uri_owl_Class),
    inference(canonicalize,[],[normalize_4_14]) ).

cnf(refute_4_9,plain,
    ic(uri_rdfs_Datatype),
    inference(canonicalize,[],[normalize_4_15]) ).

cnf(refute_4_10,plain,
    ( ~ ic(C1)
    | ~ ic(C2)
    | icext(C1,skolemFOFtoCNF_X(C1,C2))
    | iext(uri_rdfs_subClassOf,C1,C2) ),
    inference(canonicalize,[],[normalize_4_16]) ).

cnf(refute_4_11,plain,
    ( ~ ic(X_243)
    | ~ ic(uri_rdfs_Datatype)
    | icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,X_243))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X_243) ),
    inference(subst,[],[refute_4_10:[bind(C1,$fot(uri_rdfs_Datatype)),bind(C2,$fot(X_243))]]) ).

cnf(refute_4_12,plain,
    ( ~ ic(X_243)
    | icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,X_243))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X_243) ),
    inference(resolve,[$cnf( ic(uri_rdfs_Datatype) )],[refute_4_9,refute_4_11]) ).

cnf(refute_4_13,plain,
    ( ~ ic(uri_owl_Class)
    | icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(subst,[],[refute_4_12:[bind(X_243,$fot(uri_owl_Class))]]) ).

cnf(refute_4_14,plain,
    ( icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_4_8,refute_4_13]) ).

cnf(refute_4_15,plain,
    ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(canonicalize,[],[normalize_4_18]) ).

cnf(refute_4_16,plain,
    icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)),
    inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) )],[refute_4_14,refute_4_15]) ).

cnf(refute_4_17,plain,
    idc(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)),
    inference(resolve,[$cnf( icext(uri_rdfs_Datatype,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) )],[refute_4_16,refute_4_7]) ).

cnf(refute_4_18,plain,
    ic(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)),
    inference(resolve,[$cnf( idc(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) )],[refute_4_17,refute_4_5]) ).

cnf(refute_4_19,plain,
    icext(uri_owl_Class,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)),
    inference(resolve,[$cnf( ic(skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) )],[refute_4_18,refute_4_3]) ).

cnf(refute_4_20,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolve,[$cnf( icext(uri_owl_Class,skolemFOFtoCNF_X(uri_rdfs_Datatype,uri_owl_Class)) )],[refute_4_19,refute_4_1]) ).

cnf(refute_4_21,plain,
    ( ~ ic(uri_rdfs_Datatype)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolve,[$cnf( ic(uri_owl_Class) )],[refute_4_8,refute_4_20]) ).

cnf(refute_4_22,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(resolve,[$cnf( ic(uri_rdfs_Datatype) )],[refute_4_9,refute_4_21]) ).

cnf(refute_4_23,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) )],[refute_4_22,refute_4_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 11:39:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52  
% 0.18/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.36/0.53  
%------------------------------------------------------------------------------