/// <summary>
        /// SymmetricPropertyEntailment implements data entailments based on 'owl:SymmetricProperty' axiom:
        /// ((F1 P F2) AND (P TYPE SYMMETRICPROPERTY)) => (F2 P F1)
        /// </summary>
        internal static RDFOntologyReasonerReport SymmetricPropertyEntailmentExec(RDFOntology ontology)
        {
            var report = new RDFOntologyReasonerReport();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and not-symmetric properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    prop.IsSymmetricProperty()).ToList();

            foreach (var p         in availableprops)
            {
                //Filter the assertions using the current property (F1 P F2)
                var pAsns = ontology.Data.Relations.Assertions.SelectEntriesByPredicate(p);

                //Iterate those assertions
                foreach (var pAsn  in pAsns)
                {
                    //Taxonomy-check for securing inference consistency
                    if (pAsn.TaxonomyObject.IsFact())
                    {
                        //Create the inference as a taxonomy entry
                        var sem_inf = new RDFOntologyTaxonomyEntry(pAsn.TaxonomyObject, p, pAsn.TaxonomySubject).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                        //Add the inference to the ontology and to the report
                        if (ontology.Data.Relations.Assertions.AddEntry(sem_inf))
                        {
                            report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.Data, "SymmetricPropertyEntailment", sem_inf));
                        }
                    }
                }
            }

            return(report);
        }
        /// <summary>
        /// EquivalentPropertyTransitivity implements structural entailments based on 'owl:EquivalentProperty' taxonomy:
        /// ((P1 EQUIVALENTPROPERTY P2) AND (P2 EQUIVALENTPROPERTY P3)) => (P1 EQUIVALENTPROPERTY P3)
        /// </summary>
        internal static RDFOntologyReasonerReport EquivalentPropertyTransitivityExec(RDFOntology ontology)
        {
            var report        = new RDFOntologyReasonerReport();
            var equivProperty = RDFVocabulary.OWL.EQUIVALENT_PROPERTY.ToRDFOntologyObjectProperty();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and annotation properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    !prop.IsAnnotationProperty()).ToList();

            foreach (var p      in availableprops)
            {
                //Enlist the equivalent properties of the current property
                var equivprops = ontology.Model.PropertyModel.GetEquivalentPropertiesOf(p);
                foreach (var ep in equivprops)
                {
                    //Create the inference as a taxonomy entry
                    var sem_infA = new RDFOntologyTaxonomyEntry(p, equivProperty, ep).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);
                    var sem_infB = new RDFOntologyTaxonomyEntry(ep, equivProperty, p).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                    //Add the inference to the ontology and to the report
                    if (ontology.Model.PropertyModel.Relations.EquivalentProperty.AddEntry(sem_infA))
                    {
                        report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.PropertyModel, "EquivalentPropertyTransitivity", sem_infA));
                    }
                    if (ontology.Model.PropertyModel.Relations.EquivalentProperty.AddEntry(sem_infB))
                    {
                        report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.PropertyModel, "EquivalentPropertyTransitivity", sem_infB));
                    }
                }
            }
            return(report);
        }
        /// <summary>
        /// "DomainEntailment (rdfs2) implements structural entailments based on 'rdfs:domain' taxonomy:"
        /// "((F1 P F2) AND (P RDFS:DOMAIN C)) => (F1 RDF:TYPE C)"
        /// </summary>
        internal static RDFOntologyReasonerReport DomainEntailmentExec(RDFOntology ontology)
        {
            var report = new RDFOntologyReasonerReport();
            var type   = RDFVocabulary.RDF.TYPE.ToRDFOntologyObjectProperty();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and annotation properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    !prop.IsAnnotationProperty()).ToList();

            foreach (var p      in availableprops)
            {
                if (p.Domain != null)
                {
                    //Filter the assertions using the current property (F1 P1 F2)
                    var pAsns = ontology.Data.Relations.Assertions.SelectEntriesByPredicate(p);

                    //Iterate the related assertions
                    foreach (var pAsn in pAsns)
                    {
                        //Create the inference as a taxonomy entry
                        var sem_inf = new RDFOntologyTaxonomyEntry(pAsn.TaxonomySubject, type, p.Domain).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                        //Add the inference to the ontology and to the report
                        if (ontology.Data.Relations.ClassType.AddEntry(sem_inf))
                        {
                            report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.Data, "DomainEntailment", sem_inf));
                        }
                    }
                }
            }
            return(report);
        }
        /// <summary>
        /// ClassTypeEntailment (rdfs9) implements structural entailments based on 'rdf:type' taxonomy:
        /// ((F TYPE C1) AND (C1 SUBCLASSOF C2))      => (F TYPE C2)
        /// ((F TYPE C1) AND (C1 EQUIVALENTCLASS C2)) => (F TYPE C2)
        /// </summary>
        internal static RDFOntologyReasonerReport ClassTypeEntailmentExec(RDFOntology ontology)
        {
            var report = new RDFOntologyReasonerReport();
            var type   = RDFVocabulary.RDF.TYPE.ToRDFOntologyObjectProperty();

            //Calculate the set of available classes on which to perform the reasoning (exclude BASE classes and literal-compatible classes)
            var availableclasses = ontology.Model.ClassModel.Where(cls => !RDFOntologyChecker.CheckReservedClass(cls) &&
                                                                   !ontology.Model.ClassModel.CheckIsLiteralCompatible(cls));

            foreach (var c      in availableclasses)
            {
                //Enlist the members of the current class
                var clsMembers = ontology.GetMembersOfNonLiteralCompatibleClass(c);
                foreach (var f  in clsMembers)
                {
                    //Create the inference as a taxonomy entry
                    var sem_inf = new RDFOntologyTaxonomyEntry(f, type, c).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                    //Add the inference to the ontology and to the report
                    if (ontology.Data.Relations.ClassType.AddEntry(sem_inf))
                    {
                        report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.Data, "ClassTypeEntailment", sem_inf));
                    }
                }
            }
            return(report);
        }
        /// <summary>
        /// SubPropertyTransitivity (rdfs5) implements structural entailments based on 'rdfs:subPropertyOf' taxonomy:
        /// ((P1 SUBPROPERTYOF P2)      AND (P2 SUBPROPERTYOF P3))      => (P1 SUBPROPERTYOF P3)
        /// ((P1 SUBPROPERTYOF P2)      AND (P2 EQUIVALENTPROPERTY P3)) => (P1 SUBPROPERTYOF P3)
        /// ((P1 EQUIVALENTPROPERTY P2) AND (P2 SUBPROPERTYOF P3))      => (P1 SUBPROPERTYOF P3)
        /// </summary>
        internal static RDFOntologyReasonerReport SubPropertyTransitivityExec(RDFOntology ontology)
        {
            var report        = new RDFOntologyReasonerReport();
            var subPropertyOf = RDFVocabulary.RDFS.SUB_PROPERTY_OF.ToRDFOntologyObjectProperty();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and annotation properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    !prop.IsAnnotationProperty()).ToList();

            foreach (var p      in availableprops)
            {
                //Enlist the superproperties of the current property
                var superprops = ontology.Model.PropertyModel.GetSuperPropertiesOf(p);
                foreach (var sp in superprops)
                {
                    //Create the inference as a taxonomy entry
                    var sem_inf = new RDFOntologyTaxonomyEntry(p, subPropertyOf, sp).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                    //Add the inference to the ontology and to the report
                    if (ontology.Model.PropertyModel.Relations.SubPropertyOf.AddEntry(sem_inf))
                    {
                        report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.PropertyModel, "SubPropertyTransitivity", sem_inf));
                    }
                }
            }
            return(report);
        }
        /// <summary>
        /// TransitivePropertyEntailment implements data entailments based on 'owl:TransitiveProperty' axiom:
        /// ((F1 P F2) AND (F2 P F3) AND (P TYPE TRANSITIVEPROPERTY)) => (F1 P F3)
        /// </summary>
        internal static RDFOntologyReasonerReport TransitivePropertyEntailmentExec(RDFOntology ontology)
        {
            var report         = new RDFOntologyReasonerReport();
            var transPropCache = new Dictionary <Int64, RDFOntologyData>();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and not-transitive properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    prop.IsTransitiveProperty()).ToList();

            foreach (var p        in availableprops)
            {
                //Filter the assertions using the current property (F1 P F2)
                var pAsns = ontology.Data.Relations.Assertions.SelectEntriesByPredicate(p);

                //Iterate those assertions
                foreach (var pAsn in pAsns)
                {
                    //Taxonomy-check for securing inference consistency
                    if (pAsn.TaxonomyObject.IsFact())
                    {
                        if (!transPropCache.ContainsKey(pAsn.TaxonomySubject.PatternMemberID))
                        {
                            transPropCache.Add(pAsn.TaxonomySubject.PatternMemberID, ontology.Data.GetTransitiveAssertionsOf((RDFOntologyFact)pAsn.TaxonomySubject, (RDFOntologyObjectProperty)p));
                        }
                        foreach (var te in transPropCache[pAsn.TaxonomySubject.PatternMemberID])
                        {
                            //Create the inference as a taxonomy entry
                            var sem_inf = new RDFOntologyTaxonomyEntry(pAsn.TaxonomySubject, p, te).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                            //Add the inference to the ontology and to the report
                            if (ontology.Data.Relations.Assertions.AddEntry(sem_inf))
                            {
                                report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.Data, "TransitivePropertyEntailment", sem_inf));
                            }
                        }
                    }
                }
                transPropCache.Clear();
            }
            return(report);
        }
        /// <summary>
        /// InverseOfEntailment implements data entailments based on 'owl:inverseOf' taxonomy:
        /// ((F1 P1 F2) AND (P1 INVERSEOF P2)) => (F2 P2 F1)
        /// </summary>
        internal static RDFOntologyReasonerReport InverseOfEntailmentExec(RDFOntology ontology)
        {
            var report = new RDFOntologyReasonerReport();

            //Calculate the set of available properties on which to perform the reasoning (exclude BASE properties and annotation/datatype properties)
            var availableprops = ontology.Model.PropertyModel.Where(prop => !RDFOntologyChecker.CheckReservedProperty(prop) &&
                                                                    prop.IsObjectProperty()).ToList();

            foreach (var p1     in availableprops)
            {
                //Filter the assertions using the current property (F1 P1 F2)
                var p1Asns = ontology.Data.Relations.Assertions.SelectEntriesByPredicate(p1);

                //Enlist the inverse properties of the current property
                var inverseprops = ontology.Model.PropertyModel.GetInversePropertiesOf((RDFOntologyObjectProperty)p1);
                foreach (var p2 in inverseprops)
                {
                    //Iterate the compatible assertions
                    foreach (var p1Asn in p1Asns)
                    {
                        //Taxonomy-check for securing inference consistency
                        if (p2.IsObjectProperty() && p1Asn.TaxonomyObject.IsFact())
                        {
                            //Create the inference as a taxonomy entry
                            var sem_inf = new RDFOntologyTaxonomyEntry(p1Asn.TaxonomyObject, p2, p1Asn.TaxonomySubject).SetInference(RDFSemanticsEnums.RDFOntologyInferenceType.Reasoner);

                            //Add the inference to the ontology and to the report
                            if (ontology.Data.Relations.Assertions.AddEntry(sem_inf))
                            {
                                report.AddEvidence(new RDFOntologyReasonerEvidence(RDFSemanticsEnums.RDFOntologyReasonerEvidenceCategory.Data, "InverseOfEntailment", sem_inf));
                            }
                        }
                    }
                }
            }

            return(report);
        }