Merge.kif

;; ================================================
;;      SUMO (Suggested Upper Merged Ontology)
;; ================================================                                            

;; The original versions of SUMO incorporated elements from many public sources
;; which are documented at http://www.ontologyportal.org/SUMOhistory/

;; The SUMO is freely available, subject to the following IEEE license.  

;; ----------------------
;; Copyright � 2004 by the Institute of Electrical and Electronics Engineers, Inc.
;; Three Park Avenue
;; New York, NY 10016-5997, USA
;; All rights reserved.
          
;; 1. COPYRIGHT
;; The Institute of Electrical and Electronics Engineers, Inc., ("IEEE") owns the         
;; copyright to this Document in all forms of media. Copyright in the text retrieved,     
;; displayed or output from this Document is owned by IEEE and is protected by the        
;; copyright laws of the United States and by international treaties. The IEEE reserves   
;; all rights not expressly granted herein.

;; 2. ROYALTIES
;; The IEEE is providing the Document at no charge. However, the Document is not to be    
;; considered "Public Domain," as the IEEE is, and at all times shall remain, the sole    
;; copyright holder in the Document. The IEEE intends to revise the Document from time to 
;; time; the latest version shall be available at http://standards.ieee.org/catalog/

;; 3. TERMS OF USE
;; The IEEE hereby grants Licensee a perpetual, non-exclusive, royalty-free, world-wide   
;; right and license to copy, publish and distribute the Document in any way, and to      
;; prepare derivative works that are based on or incorporate all or part of the Document  
;; provided that the IEEE is appropriately acknowledged as the source and copyright owner 
;; in each and every use.

;; 4. LIMITED WARRANTIES & LIMITATIONS OF REMEDIES
;; LICENSOR Does not warrant or represent the accuracy or content of the document and     
;; Expressly Disclaims any Express or Implied Warranty, including any Implied Warranty of 
;; Merchantability or Fitness for a Specific Purpose or that the use of the document is   
;; free from patent infringement. The document is supplied ONLY "AS IS."                  
;; ----------------------

;; The SUMO was initially developed at Teknowledge Corp.

;; Any questions or comments about this ontology can be directed to the
;; Technical editor, Adam Pease, apease [at] articulatesoftware [dot] com  

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

;; The knowledge representation language in which the SUMO is expressed is SUO-KIF, 
;; which stands for "Standard Upper Ontology - Knowledge Interchange Format".  SUO-KIF 
;; is a simplified form of the KIF knowledge representation language.  A
;; specification of SUO-KIF can be found at:  http://www.ontologyportal.org

;; The SUMO is a modular ontology.  That is, the ontology is divided into 
;; self-contained subontologies.  Each subontology is indicated by a section 
;; header, and the dependencies between the subontologies are specified with 
;; statements of the form ";; INCLUDES '<SUBONTOLOGY>'".  These statements are 
;; found at the beginning of each section.  

;; We ask that people using or referencing SUMO cite our primary paper:

;; Niles, I., and Pease, A.  2001.  Towards a Standard Upper Ontology.  In 
;; Proceedings of the 2nd International Conference on Formal Ontology in 
;; Information Systems (FOIS-2001), Chris Welty and Barry Smith, eds, 
;; Ogunquit, Maine, October 17-19, 2001.  Also see http://www.ontologyportal.org

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;   STRUCTURAL ONTOLOGY   ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'BASE ONTOLOGY'

;; The Structural Ontology consists of definitions of certain syntactic 
;; abbreviations that can be both heuristically useful and computationally 
;; advantageous.

(instance instance BinaryPredicate)
(domain instance 1 Entity)
(domain instance 2 Class)

(documentation instance EnglishLanguage "An object is an &%instance of a &%Class if
it is included in that &%Class.  An individual may be an &%instance of many
classes, some of which may be subclasses of others.  Thus, there is no
assumption in the meaning of &%instance about specificity or uniqueness.")

(subrelation immediateInstance instance)
(instance immediateInstance AsymmetricRelation)
(instance immediateInstance IntransitiveRelation)
(documentation immediateInstance EnglishLanguage "An object is an &%immediateInstance of
a &%Class if it is an &%instance of the &%Class and it is not an
&%instance of a proper subclass of &%Class.")

(=>
   (immediateInstance ?ENTITY ?CLASS)
   (not (exists (?SUBCLASS)
      (and
         (subclass ?SUBCLASS ?CLASS)
         (not (equal ?SUBCLASS ?CLASS))
         (instance ?ENTITY ?SUBCLASS)))))

(instance inverse BinaryPredicate)
(instance inverse IrreflexiveRelation)
(instance inverse IntransitiveRelation)
(instance inverse SymmetricRelation)
(instance inverse PartialValuedRelation)
(domain inverse 1 BinaryRelation)
(domain inverse 2 BinaryRelation)
(documentation inverse EnglishLanguage "The inverse of a &%BinaryRelation is a &%Relation
in which all the tuples of the original &%Relation are reversed.  In other words, one
&%BinaryRelation is the inverse of another if they are equivalent when their arguments
are swapped.")

; causes a predicate variable expansion explosion
; (=>
;    (and
;      (inverse ?REL1 ?REL2)
;      (instance ?REL1 Predicate)
;      (instance ?REL2 Predicate))
;    (forall (?INST1 ?INST2)
;       (<=>
;          (?REL1 ?INST1 ?INST2)
;          (?REL2 ?INST2 ?INST1))))

(instance subclass BinaryPredicate)
(instance subclass PartialOrderingRelation)
(domain subclass 1 Class)
(domain subclass 2 Class)
(documentation subclass EnglishLanguage "(&%subclass ?CLASS1 ?CLASS2) means that ?CLASS1
is a &%subclass of ?CLASS2, i.e. every &%instance of ?CLASS1 is also an &%instance of
?CLASS2.  A &%Class may have multiple superclasses and subclasses.")

(=>
  (subclass ?X ?Y)
  (and
    (instance ?X Class)
    (instance ?Y Class)))

(=>
  (and
    (subclass ?X ?Y)
    (instance ?Z ?X))
  (instance ?Z ?Y))

; (subrelation immediateSubclass subclass)
(instance immediateSubclass AsymmetricRelation)
(instance immediateSubclass IntransitiveRelation)
(instance immediateSubclass BinaryPredicate)
(domain immediateSubclass 1 Class)
(domain immediateSubclass 2 Class)
(documentation immediateSubclass EnglishLanguage "A &%Class ?CLASS1 is an
&%immediateSubclass of another &%Class ?CLASS2 just in case ?CLASS1 is a subclass of
?CLASS2 and there is no other subclass of ?CLASS2 such that ?CLASS1 is also a subclass of
it.")

(=>
   (immediateSubclass ?CLASS1 ?CLASS2)
   (not (exists (?CLASS3)
      (and
         (subclass ?CLASS3 ?CLASS2)
         (subclass ?CLASS1 ?CLASS3)
         (not (equal ?CLASS2 ?CLASS3))
         (not (equal ?CLASS1 ?CLASS3))))))

(instance subrelation BinaryPredicate)
(instance subrelation PartialOrderingRelation)
(domain subrelation 1 Relation)
(domain subrelation 2 Relation)
(documentation subrelation EnglishLanguage "(&%subrelation ?REL1 ?REL2) means that
every tuple of ?REL1 is also a tuple of ?REL2.  In other words, if
the &%Relation ?REL1 holds for some arguments arg_1, arg_2, ... arg_n,
then the &%Relation ?REL2 holds for the same arguments.  A consequence
of this is that a &%Relation and its subrelations must have the same
&%valence.")

(=>
   (and
      (subrelation ?PRED1 ?PRED2)
      (valence ?PRED1 ?NUMBER))
   (valence ?PRED2 ?NUMBER))

(=>
   (and
      (subrelation ?PRED1 ?PRED2)
      (domain ?PRED2 ?NUMBER ?CLASS1))
   (domain ?PRED1 ?NUMBER ?CLASS1))

(=>
   (and
      (subrelation ?REL1 ?REL2)
      (instance ?REL1 Predicate)
      (instance ?REL2 Predicate)
      (?REL1 @ROW))
   (?REL2 @ROW))

(=>
   (and
      (subrelation ?PRED1 ?PRED2)
      (instance ?PRED2 ?CLASS)
      (subclass ?CLASS InheritableRelation))
   (instance ?PRED1 ?CLASS))

(instance domain TernaryPredicate)
(domain domain 1 Relation)
(domain domain 2 PositiveInteger)
(domain domain 3 Class)
(documentation domain EnglishLanguage "Provides a computationally and heuristically
convenient mechanism for declaring the argument types of a given relation.
The formula (&%domain ?REL ?INT ?CLASS) means that the ?INT'th element of each
tuple in the relation ?REL must be an instance of ?CLASS.  Specifying argument
types is very helpful in maintaining ontologies.  Representation systems can
use these specifications to classify terms and check integrity constraints.
If the restriction on the argument type of a &%Relation is not captured by a
&%Class already defined in the ontology, one can specify a &%Class
compositionally with the functions &%UnionFn, &%IntersectionFn, etc.")

(=>
   (and
      (domain ?REL ?NUMBER ?CLASS1)
      (domain ?REL ?NUMBER ?CLASS2))
   (or
      (subclass ?CLASS1 ?CLASS2)
      (subclass ?CLASS2 ?CLASS1)))

(instance domainSubclass TernaryPredicate)
(domain domainSubclass 1 Relation)
(domain domainSubclass 2 PositiveInteger)
(domain domainSubclass 3 Class)
(documentation domainSubclass EnglishLanguage "A &%Predicate that is used to specify
argument type restrictions of &%Predicates.  The formula (&%domainSubclass
?REL ?INT ?CLASS) means that the ?INT'th element of each tuple in the
relation ?REL must be a subclass of ?CLASS.")

(=>
   (and
      (subrelation ?REL1 ?REL2)
      (domainSubclass ?REL2 ?NUMBER ?CLASS1))
   (domainSubclass ?REL1 ?NUMBER ?CLASS1))

(=>
   (and
      (domainSubclass ?REL ?NUMBER ?CLASS1)
      (domainSubclass ?REL ?NUMBER ?CLASS2))
   (or
      (subclass ?CLASS1 ?CLASS2)
      (subclass ?CLASS2 ?CLASS1)))

;(instance equal BinaryPredicate)
;(instance equal EquivalenceRelation)
;(instance equal RelationExtendedToQuantities)
;(domain equal 1 Entity)
;(domain equal 2 Entity)
;(documentation equal EnglishLanguage "(equal ?ENTITY1 ?ENTITY2) is true just in case
;?ENTITY1 is identical with ?ENTITY2.")

(=>
   (equal ?THING1 ?THING2)
   (forall (?ATTR)
      (<=>
         (property ?THING1 ?ATTR)
         (property ?THING2 ?ATTR))))

(=>
   (equal ?ATTR1 ?ATTR2)
   (forall (?THING)
      (<=>
         (property ?THING ?ATTR1)
         (property ?THING ?ATTR2))))

(=>
   (equal ?THING1 ?THING2)
   (forall (?CLASS)
      (<=>
         (instance ?THING1 ?CLASS)
         (instance ?THING2 ?CLASS))))

(=>
   (equal ?CLASS1 ?CLASS2)
   (forall (?THING)
      (<=>
         (instance ?THING ?CLASS1)
         (instance ?THING ?CLASS2))))

;;(=>
;;   (equal ?REL1 ?REL2)
;;   (forall (@ROW)
;;      (<=>
;;         (?REL1 @ROW)
;;         (?REL2 @ROW))))

(=>
   (equal ?LIST1 ?LIST2)
      (=>
         (and
            (equal ?LIST1 (ListFn @ROW1))
            (equal ?LIST2 (ListFn @ROW2)))
         (forall (?NUMBER)
            (equal (ListOrderFn (ListFn @ROW1) ?NUMBER) (ListOrderFn (ListFn @ROW2) ?NUMBER)))))

(instance range BinaryPredicate)
(instance range AsymmetricRelation)
(domain range 1 Function)
(domain range 2 Class)
(documentation range EnglishLanguage "Gives the range of a function.  In other words,
(&%range ?FUNCTION ?CLASS) means that all of the values assigned by
?FUNCTION are &%instances of ?CLASS.")

(=>
   (and
      (range ?FUNCTION ?CLASS)
      (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE))
   (instance ?VALUE ?CLASS))

(=>
   (and
      (subrelation ?REL1 ?REL2)
      (range ?REL2 ?CLASS1))
   (range ?REL1 ?CLASS1))

(=>
   (and
      (range ?REL ?CLASS1)
      (range ?REL ?CLASS2))
   (or
      (subclass ?CLASS1 ?CLASS2)
      (subclass ?CLASS2 ?CLASS1)))

(instance rangeSubclass BinaryPredicate)
(instance rangeSubclass AsymmetricRelation)
(domain rangeSubclass 1 Function)
(domainSubclass rangeSubclass 2 Class)
(documentation rangeSubclass EnglishLanguage "(&%rangeSubclass ?FUNCTION ?CLASS) means
that all of the values assigned by ?FUNCTION are &%subclasses of ?CLASS.")

(=>
   (and
      (rangeSubclass ?FUNCTION ?CLASS)
      (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE))
   (subclass ?VALUE ?CLASS))

(=>
   (and
      (subrelation ?REL1 ?REL2)
      (rangeSubclass ?REL2 ?CLASS1))
   (rangeSubclass ?REL1 ?CLASS1))

(=>
   (and
      (rangeSubclass ?REL ?CLASS1)
      (rangeSubclass ?REL ?CLASS2))
   (or
      (subclass ?CLASS1 ?CLASS2)
      (subclass ?CLASS2 ?CLASS1)))

(instance valence BinaryPredicate)
(instance valence SingleValuedRelation)
(domain valence 1 Relation)
(domain valence 2 PositiveInteger)
(documentation valence EnglishLanguage "Specifies the number of arguments that a
relation can take.  If a relation does not have a fixed number of
arguments, it does not have a valence and it is an instance of
&%VariableArityRelation.")

(instance documentation TernaryPredicate)
(domain documentation 1 Entity)
(domain documentation 2 HumanLanguage)
(domain documentation 3 SymbolicString)

(documentation documentation EnglishLanguage "A relation between objects
in the domain of discourse and strings of natural language text stated in
a particular &%HumanLanguage.  The domain of &%documentation is not
constants (names), but the objects themselves.  This means that one does
not quote the names when associating them with their documentation.")

(instance format TernaryPredicate)
(domain format 1 Language)
(domain format 2 Entity)
(domain format 3 SymbolicString)
(documentation format EnglishLanguage "A relation that specifies how
to present an expression in a natural language format.")

(instance termFormat TernaryPredicate)
(domain termFormat 1 Language)
(domain termFormat 2 Entity)
(domain termFormat 3 SymbolicString)
(documentation termFormat EnglishLanguage "A relation that specifies how
to present a term in a natural language format.")

(instance disjoint BinaryPredicate)
(instance disjoint SymmetricRelation)
(domain disjoint 1 Class)
(domain disjoint 2 Class)
(documentation disjoint EnglishLanguage "&%Classes are &%disjoint only if they share no
instances, i.e. just in case the result of applying &%IntersectionFn to
them is empty.")

(=>
   (disjoint ?CLASS1 ?CLASS2)
   (not
     (exists (?INST)
       (and
         (instance ?INST ?CLASS1)
         (instance ?INST ?CLASS2)))))

(instance disjointRelation BinaryPredicate)
(instance disjointRelation IrreflexiveRelation)
(instance disjointRelation PartialValuedRelation)
(domain disjointRelation 1 Relation)
(domain disjointRelation 2 Relation)
(relatedInternalConcept disjointRelation disjoint)
(documentation disjointRelation EnglishLanguage "This predicate relates two &%Relations.
(&%disjointRelation ?REL1 ?REL2) means that the two relations have no tuples in
common.")

(=>
   (and
      (domain ?REL1 ?NUMBER ?CLASS1)
      (domain ?REL2 ?NUMBER ?CLASS2)
      (disjoint ?CLASS1 ?CLASS2))
   (disjointRelation ?REL1 ?REL2))

(=>
   (and
      (domainSubclass ?REL1 ?NUMBER ?CLASS1)
      (domainSubclass ?REL2 ?NUMBER ?CLASS2)
      (disjoint ?CLASS1 ?CLASS2))
   (disjointRelation ?REL1 ?REL2))

(=>
   (and
      (range ?REL1 ?CLASS1)
      (range ?REL2 ?CLASS2)
      (disjoint ?CLASS1 ?CLASS2))
   (disjointRelation ?REL1 ?REL2))

(=>
   (and
      (rangeSubclass ?REL1 ?CLASS1)
      (rangeSubclass ?REL2 ?CLASS2)
      (disjoint ?CLASS1 ?CLASS2))
   (disjointRelation ?REL1 ?REL2))

(=>
   (and
      (instance ?REL1 Predicate)
      (instance ?REL2 Predicate)
      (disjointRelation ?REL1 ?REL2)
      (?REL1 @ROW2))
   (not (?REL2 @ROW2)))

(instance contraryAttribute Predicate)
(instance contraryAttribute VariableArityRelation)
(domain contraryAttribute 1 Attribute)

(documentation contraryAttribute EnglishLanguage "A &%contraryAttribute is a set of &%Attributes
such that something can not simultaneously have more than one of these &%Attributes.
For example, (&%contraryAttribute &%Pliable &%Rigid) means that nothing can be both
&%Pliable and &%Rigid.")

(=>
   (contraryAttribute @ROW)
   (=>
      (inList ?ELEMENT (ListFn @ROW))
      (instance ?ELEMENT Attribute)))

(=>
   (and
      (contraryAttribute @ROW1)
      (identicalListItems (ListFn @ROW1) (ListFn @ROW2)))
   (contraryAttribute @ROW2))

(=>
   (contraryAttribute @ROW)
   (forall (?ATTR1 ?ATTR2)
      (=>
         (and
            (equal ?ATTR1 (ListOrderFn (ListFn @ROW) ?NUMBER1))
            (equal ?ATTR2 (ListOrderFn (ListFn @ROW) ?NUMBER2))
            (not (equal ?NUMBER1 ?NUMBER2)))
         (=>
            (property ?OBJ ?ATTR1)
            (not (property ?OBJ ?ATTR2))))))

(instance exhaustiveAttribute Predicate)
(instance exhaustiveAttribute VariableArityRelation)
(domainSubclass exhaustiveAttribute 1 Attribute)
(domain exhaustiveAttribute 2 Attribute)

(documentation exhaustiveAttribute EnglishLanguage "This predicate relates a &%Class to a
set of &%Attributes, and it means that the elements of this set exhaust the
instances of the &%Class.  For example, (&%exhaustiveAttribute &%PhysicalState
&%Solid &%Fluid &%Liquid &%Gas &%Plasma) means that there are only five instances of
the class &%PhysicalState, viz. &%Solid, &%Fluid, &%Liquid, &%Gas and &%Plasma.")

(=>
  (and
    (exhaustiveAttribute ?CLASS @ROW)
    (inList ?ATTR (ListFn @ROW)))
  (instance ?ATTR Attribute))

(=>
  (and
    (exhaustiveAttribute ?CLASS @ROW)
    (inList ?ATTR (ListFn @ROW)))
  (instance ?ATTR ?CLASS))
  
(=>
   (exhaustiveAttribute ?CLASS @ROW)
   (forall (?ATTR1)
      (=>
         (instance ?ATTR1 ?CLASS)
         (exists (?ATTR2)
            (and
               (inList ?ATTR2 (ListFn @ROW))
               (equal ?ATTR1 ?ATTR2))))))

(=>
   (exhaustiveAttribute ?ATTRCLASS @ROW)
   (not
     (exists (?EL)
       (and
         (instance ?EL ?ATTRCLASS)
         (not
           (exists (?ATTR ?NUMBER)
             (and
               (equal ?EL ?ATTR)
               (equal ?ATTR
                 (ListOrderFn
                   (ListFn @ROW) ?NUMBER)))))))))

; TODO: this appears to cause a contradiction
;(=>
;   (exhaustiveAttribute ?CLASS @ROW)
;   (=>
;      (equal ?ATTR1
;        (ListOrderFn (ListFn @ROW) ?N1))
;      (not
;        (exists (?ATTR2 ?N2)
;            (and
;              (equal ?ATTR1 ?ATTR2)
;              (not
;                 (equal ?N1 ?N2)))))))

(instance exhaustiveDecomposition Predicate)
(instance exhaustiveDecomposition VariableArityRelation)
(domain exhaustiveDecomposition 1 Class)
(domain exhaustiveDecomposition 2 Class)
(relatedInternalConcept exhaustiveDecomposition partition)

(documentation exhaustiveDecomposition EnglishLanguage "An &%exhaustiveDecomposition of a
&%Class C is a set of subclasses of C such that every instance of C is an
instance of one of the subclasses in the set.  Note:  this does not necessarily
mean that the elements of the set are disjoint (see &%partition - a &%partition
is a disjoint exhaustive decomposition).")

(=>
   (exhaustiveDecomposition @ROW)
   (=>
      (inList ?ELEMENT (ListFn @ROW))
      (instance ?ELEMENT Class)))

(instance disjointDecomposition Predicate)
(instance disjointDecomposition VariableArityRelation)
(domain disjointDecomposition 1 Class)
(domain disjointDecomposition 2 Class)
(relatedInternalConcept disjointDecomposition exhaustiveDecomposition)
(relatedInternalConcept disjointDecomposition disjoint)

(documentation disjointDecomposition EnglishLanguage "A &%disjointDecomposition of a
&%Class C is a set of subclasses of C that are mutually &%disjoint.")

(=>
   (disjointDecomposition @ROW)
   (=>
      (inList ?ELEMENT (ListFn @ROW))
      (instance ?ELEMENT Class)))

(instance partition Predicate)
(instance partition VariableArityRelation)
(domain partition 1 Class)
(domain partition 2 Class)

(documentation partition EnglishLanguage "A &%partition of a &%Class C
is a set of mutually &%disjoint classes (a subclass partition) which
covers C.  Every instance of C is an instance of exactly one of the
subclasses in the partition.")

(=>
   (partition @ROW)
   (and
      (exhaustiveDecomposition @ROW)
      (disjointDecomposition @ROW)))

(=>
  (and
    (exhaustiveDecomposition @ROW)
    (disjointDecomposition @ROW))
  (partition @ROW))

(=>
    (partition ?SUPER ?SUB1 ?SUB2)
    (partition ?SUPER ?SUB2 ?SUB1))

(=>
  (and
    (partition ?SUPER ?SUB1 ?SUB2)
    (instance ?INST ?SUPER)
    (not
      (instance ?INST ?SUB1)))
  (instance ?INST ?SUB2))

(instance relatedInternalConcept BinaryPredicate)
(instance relatedInternalConcept EquivalenceRelation)
(domain relatedInternalConcept 1 Entity)
(domain relatedInternalConcept 2 Entity)

(documentation relatedInternalConcept EnglishLanguage "Means that the two arguments are
related concepts within the SUMO, i.e. there is a significant similarity
of meaning between them.  To indicate a meaning relation between a SUMO
concept and a concept from another source, use the Predicate
&%relatedExternalConcept.")

(instance relatedExternalConcept TernaryPredicate)
(domain relatedExternalConcept 1 SymbolicString)
(domain relatedExternalConcept 2 Entity)
(domain relatedExternalConcept 3 Language)
(relatedInternalConcept relatedExternalConcept relatedInternalConcept)

(documentation relatedExternalConcept EnglishLanguage "Used to signify a three-place
relation between a concept in an external knowledge source, a concept
in the SUMO, and the name of the other knowledge source.")

(subrelation synonymousExternalConcept relatedExternalConcept)
(instance synonymousExternalConcept TernaryPredicate)
(disjointRelation synonymousExternalConcept subsumedExternalConcept)
(disjointRelation synonymousExternalConcept subsumingExternalConcept)
(disjointRelation subsumedExternalConcept subsumingExternalConcept)

(documentation synonymousExternalConcept EnglishLanguage "(&%synonymousExternalConcept
?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING has the
same meaning as ?STRING in ?LANGUAGE.")

(subrelation subsumingExternalConcept relatedExternalConcept)
(instance subsumingExternalConcept TernaryPredicate)

(documentation subsumingExternalConcept EnglishLanguage "(&%subsumingExternalConcept
?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING subsumes
the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is broader
in meaning than ?STRING.")

(subrelation subsumedExternalConcept relatedExternalConcept)
(instance subsumedExternalConcept TernaryPredicate)

(documentation subsumedExternalConcept EnglishLanguage "(&%subsumedExternalConcept
?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING is subsumed
by the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is narrower
in meaning than ?STRING.")

(instance externalImage BinaryPredicate)

(documentation externalImage EnglishLanguage "A link between an Entity and a
URL that represents or exemplifies the term in some way.")

(domain externalImage 1 Entity)
(domain externalImage 2 SymbolicString)

(instance subAttribute BinaryPredicate)
(instance subAttribute PartialOrderingRelation)
(domain subAttribute 1 Attribute)
(domain subAttribute 2 Attribute)
(disjointRelation subAttribute successorAttribute)

(documentation subAttribute EnglishLanguage "Means that the second argument can be
ascribed to everything which has the first argument ascribed to it.")

(=>
   (subAttribute ?ATTR1 ?ATTR2)
   (forall (?OBJ)
      (=>
         (property ?OBJ ?ATTR1)
         (property ?OBJ ?ATTR2))))

(=>
   (and
      (subAttribute ?ATTR1 ?ATTR2)
      (instance ?ATTR2 ?CLASS))
   (instance ?ATTR1 ?CLASS))

(instance successorAttribute BinaryPredicate)
(instance successorAttribute AsymmetricRelation)
(domain successorAttribute 1 Attribute)
(domain successorAttribute 2 Attribute)

(documentation successorAttribute EnglishLanguage "(&%successorAttribute ?ATTR1 ?ATTR2)
means that ?ATTR2 is the &%Attribute that comes immediately after ?ATTR1
on the scale that they share.")

; often true but what about something hot that needn't have previously been cold?
; was a newborn baby every cold?  Does water created through combustion have to
; previously have been cold if it just came into existence?
;(=>
;   (and
;      (successorAttribute ?ATTR1 ?ATTR2)
;      (holdsDuring ?TIME1
;        (property ?ENTITY ?ATTR2)))
;   (exists (?TIME2)
;      (and
;         (temporalPart ?TIME2
;           (PastFn ?TIME1))
;         (holdsDuring ?TIME2
;           (property ?ENTITY ?ATTR1)))))

(instance successorAttributeClosure BinaryPredicate)
(instance successorAttributeClosure TransitiveRelation)
(instance successorAttributeClosure IrreflexiveRelation)
(instance successorAttributeClosure PartialValuedRelation)
(domain successorAttributeClosure 1 Attribute)
(domain successorAttributeClosure 2 Attribute)
(relatedInternalConcept successorAttributeClosure successorAttribute)

(documentation successorAttributeClosure EnglishLanguage "The transitive closure of
&%successorAttribute.  (&%successorAttributeClosure ?ATTR1 ?ATTR2) means
that there is a chain of &%successorAttribute assertions connecting
?ATTR1 and ?ATTR2.")

(=>
   (successorAttribute ?ATTR1 ?ATTR2)
   (successorAttributeClosure ?ATTR1 ?ATTR2))

(instance greaterThanByQuality TernaryPredicate)

(documentation greaterThanByQuality EnglishLanguage "(greaterThanByQuality
?ENTITY1 ?ENTITY2 ?ATT) means that ?ENTITY1 has more of the given
quality ?ATT than ?ENTITY2.")

(domain greaterThanByQuality 1 Entity)
(domain greaterThanByQuality 2 Entity)
(domain greaterThanByQuality 3 Attribute)

(=>
  (and
    (greaterThanByQuality ?E1 ?E2 ?ATT)
    (greaterThanByQuality ?E2 ?E3 ?ATT))
  (greaterThanByQuality ?E1 ?E3 ?ATT))

(=>
  (greaterThanByQuality ?E1 ?E2 ?ATT)
  (not
    (greaterThanByQuality ?E2 ?E1 ?ATT)))

(=>
  (greaterThanByQuality ?E1 ?E2 ?ATT)
  (not
    (equal ?E2 ?E1)))

(instance entails BinaryPredicate)
(domain entails 1 Formula)
(domain entails 2 Formula)

(documentation entails EnglishLanguage "The operator of logical entailment.  (&%entails
?FORMULA1 ?FORMULA2) means that ?FORMULA2 can be derived from ?FORMULA1
by means of the proof theory of SUO-KIF.")

;; The following axiom is commented out, because it is rejected by the
;; inference engine parser as higher order.

;;(=>
;;   (entails ?FORMULA1 ?FORMULA2)
;;   (=> ?FORMULA1 ?FORMULA2))

(instance AssignmentFn Function)
(instance AssignmentFn VariableArityRelation)
(domain AssignmentFn 1 Function)
(domain AssignmentFn 2 Entity)
(range AssignmentFn Entity)

(documentation AssignmentFn EnglishLanguage "If F is a &%Function with a value for the
objects denoted by N1,..., NK, then (&%AssignmentFn F N1 ... NK) is the
value of applying F to the objects denoted by N1,..., NK.  Otherwise,
the value is undefined.")

(instance PowerSetFn UnaryFunction)
(instance PowerSetFn TotalValuedRelation)
(domain PowerSetFn 1 SetOrClass)
(rangeSubclass PowerSetFn SetOrClass)

(documentation PowerSetFn EnglishLanguage "(&%PowerSetFn ?CLASS) maps the &%SetOrClass
?CLASS to the &%SetOrClass of all &%subclasses of ?CLASS.")

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;
;;   BASE ONTOLOGY   ;;
;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'STRUCTURAL ONTOLOGY'

;; The following hierarchy incorporates content from Sowa, Russell & Norvig,
;; and the top-level ontology from ITBM-CNR.

(partition Entity Physical Abstract)
(documentation Entity EnglishLanguage "The universal class of individuals.  This is the root
node of the ontology.")

;; Informally, it is true that "Everything is Entity";
;; We comment out this axiom to avoid logical paradoxes.
;;(forall (?THING)
;;  (instance ?THING Entity))

(exists (?THING)
  (instance ?THING Entity))

(=>
  (instance ?CLASS Class)
  (subclass ?CLASS Entity))

(subclass Physical Entity)
(partition Physical Object Process)

(documentation Physical EnglishLanguage "An entity that has a location in space-time.
Note that locations are themselves understood to have a location in
space-time.")

(=>
  (instance ?PHYS Physical)
  (exists (?LOC ?TIME)
    (and
      (located ?PHYS ?LOC)
      (time ?PHYS ?TIME))))

(subclass Object Physical)
(documentation Object EnglishLanguage "Corresponds roughly to the class of ordinary
objects.  Examples include normal physical objects, geographical regions,
and locations of &%Processes, the complement of &%Objects in the &%Physical
class.  In a 4D ontology, an &%Object is something whose spatiotemporal
extent is thought of as dividing into spatial parts roughly parallel to the
time-axis.")

(subclass SelfConnectedObject Object)

(documentation SelfConnectedObject EnglishLanguage "A &%SelfConnectedObject is any
&%Object that does not consist of two or more disconnected parts.")

(subclass OrganicThing SelfConnectedObject)

(documentation OrganicThing EnglishLanguage "A &%SelfConnectedObject that is
produced by a non-intentional process from an &%Organism.  Note that this
refers only to the primary cause.  That is, a &%PlantAgriculturalProduct
is firstly produced by a &%Plant, and only secondarily by a &%Human that is
tending the plant.")

(instance FrontFn SpatialRelation)
(instance FrontFn PartialValuedRelation)
(instance FrontFn UnaryFunction)
(domain FrontFn 1 SelfConnectedObject)
(range FrontFn SelfConnectedObject)

(documentation FrontFn EnglishLanguage "A &%Function that maps an &%Object to the side
that generally receives the most attention or that typically faces the
direction in which the &%Object moves.  Note that this is a partial
function, since some &%Objects do not have sides, e.g. apples and
spheres.  Note too that the &%range of this &%Function is indefinite in
much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite.
Although this indefiniteness is undesirable from a theoretical standpoint,
it does not have significant practical implications, since there is
widespread intersubjective agreement about the most common cases.")

(=>
   (instance ?OBJ SelfConnectedObject)
   (side (FrontFn ?OBJ) ?OBJ))

(instance BackFn SpatialRelation)
(instance BackFn PartialValuedRelation)
(instance BackFn UnaryFunction)
(domain BackFn 1 SelfConnectedObject)
(range BackFn SelfConnectedObject)

(documentation BackFn EnglishLanguage "A &%Function that maps an &%Object to the side
that is opposite the &%FrontFn of the &%Object.  Note that this is a
partial function, since some &%Objects do not have sides, e.g. apples
and spheres.  Note too that the &%range of this &%Function is indefinite in
much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite.
Although this indefiniteness is undesirable from a theoretical standpoint,
it does not have significant practical implications, since there is
widespread intersubjective agreement about the most common cases.")

(=>
   (instance ?OBJ SelfConnectedObject)
   (side (BackFn ?OBJ) ?OBJ))

(instance part SpatialRelation)
(instance part PartialOrderingRelation)
(instance part BinaryPredicate)
(domain part 1 Object)
(domain part 2 Object)

(documentation part EnglishLanguage "The basic mereological relation.  All other
mereological relations are defined in terms of this one.
(&%part ?PART ?WHOLE) simply means that the &%Object ?PART is part
of the &%Object ?WHOLE.  Note that, since &%part is a
&%ReflexiveRelation, every &%Object is a part of itself.")

(instance properPart AsymmetricRelation)
(instance properPart TransitiveRelation)
(subrelation properPart part)

(documentation properPart EnglishLanguage "(&%properPart ?OBJ1 ?OBJ2) means that
?OBJ1 is a part of ?OBJ2 other than ?OBJ2 itself. This is a
&%TransitiveRelation and &%AsymmetricRelation (hence an
&%IrreflexiveRelation).")

(=>
  (properPart ?OBJ1 ?OBJ2)
  (and
    (part ?OBJ1 ?OBJ2)
    (not
      (part ?OBJ2 ?OBJ1))))

(=>
  (and
    (part ?OBJ1 ?OBJ2)
    (not
      (part ?OBJ2 ?OBJ1)))
  (properPart ?OBJ1 ?OBJ2))

(subrelation piece part)
(instance piece BinaryPredicate)
(domain piece 1 Substance)
(domain piece 2 Substance)

(documentation piece EnglishLanguage "A specialized common sense notion of part for
arbitrary parts of &%Substances.  Quasi-synonyms are: chunk, hunk, bit,
etc.  Compare &%component, another subrelation of &%part.")

(=>
   (piece ?SUBSTANCE1 ?SUBSTANCE2)
   (forall (?CLASS)
      (=>
         (instance ?SUBSTANCE1 ?CLASS)
         (instance ?SUBSTANCE2 ?CLASS))))

(subrelation component part)
(instance component BinaryPredicate)
(domain component 1 CorpuscularObject)
(domain component 2 CorpuscularObject)

(documentation component EnglishLanguage "A specialized common sense notion of part
for heterogeneous parts of complexes. (&%component ?COMPONENT ?WHOLE)
means that ?COMPONENT is a component of ?WHOLE. Examples of component
include the doors and walls of a house, the states or provinces of a
country, or the limbs and organs of an animal.  Compare &%piece, which
is also a subrelation of &%part.")

(instance material BinaryPredicate)
(domainSubclass material 1 Substance)
(domain material 2 CorpuscularObject)

(documentation material EnglishLanguage "(&%material ?SUBSTANCE ?OBJECT) means that
?OBJECT is structurally made up in part of ?SUBSTANCE. This relation
encompasses the concepts of 'composed of', 'made of', and 'formed of'.
For example, plastic is a &%material of my computer monitor.  Compare
&%part and its subrelations, viz &%component and &%piece.")

(=>
  (contains ?SMALL ?BIG)
  (partlyLocated ?SMALL ?BIG))

(instance contains SpatialRelation)
(instance contains AsymmetricRelation)
(instance contains PartialValuedRelation)
(instance contains BinaryPredicate)
(disjointRelation contains part)
(domain contains 1 SelfConnectedObject)
(domain contains 2 Object)

(documentation contains EnglishLanguage "The relation of spatial containment for two
separable objects.  When the two objects are not separable (e.g. an
automobile and one of its seats), the relation of &%part should be used.
(&%contains ?OBJ1 ?OBJ2) means that the &%SelfConnectedObject ?OBJ1 has
a space (i.e. a &%Hole) which is at least partially filled by ?OBJ2.")

(=>
  (contains ?OBJ1 ?OBJ2)
  (exists (?HOLE)
    (and
      (hole ?HOLE ?OBJ1)
      (properlyFills ?OBJ2 ?HOLE))))

(=>
  (and
    (hole ?HOLE ?OBJ1)
    (properlyFills ?OBJ2 ?HOLE))
  (contains ?OBJ1 ?OBJ2))

(subclass Substance SelfConnectedObject)
(partition Substance PureSubstance Mixture)
(partition Substance SyntheticSubstance NaturalSubstance)

(documentation Substance EnglishLanguage "An &%Object in which every part is similar to
every other in every relevant respect.  More precisely, something is a
&%Substance when it has only arbitrary pieces as parts - any parts have
properties which are similar to those of the whole.  Note that a &%Substance
may nonetheless have physical properties that vary.  For example, the
temperature, chemical constitution, density, etc. may change from one part
to another.  An example would be a body of water.")

(=>
   (and
      (subclass ?OBJECTTYPE Substance)
      (instance ?OBJECT ?OBJECTTYPE)
      (piece ?PART ?OBJECT))
   (instance ?PART ?OBJECTTYPE))

(=>
   (and
      (instance ?OBJ Substance)
      (attribute ?OBJ ?ATTR)
      (piece ?PART ?OBJ))
   (attribute ?PART ?ATTR))

(subclass SyntheticSubstance Substance)

(documentation SyntheticSubstance EnglishLanguage "Any &%Substance that is the result of
an &%IntentionalProcess, i.e. any substance that is created by &%Humans.")

(=>
   (instance ?SUBSTANCE SyntheticSubstance)
   (exists (?PROCESS)
      (and
         (instance ?PROCESS IntentionalProcess)
         (result ?PROCESS ?SUBSTANCE)
         (instance ?SUBSTANCE Substance))))

(subclass NaturalSubstance Substance)
(documentation NaturalSubstance EnglishLanguage "Any &%Substance that is not the result of
an &%IntentionalProcess, i.e. any substance that occurs naturally.")

(subclass PureSubstance Substance)
(partition PureSubstance CompoundSubstance ElementalSubstance)

(documentation PureSubstance EnglishLanguage "The &%Class of &%Substances with constant
composition.  A &%PureSubstance can be either an element (&%ElementalSubstance)
or a compound of elements (&%CompoundSubstance).  Examples: Table salt
(sodium chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), water (H_2O),
iron (Fe), copper (Cu), and oxygen (O_2).")

(subclass ElementalSubstance PureSubstance)

(documentation ElementalSubstance EnglishLanguage "The &%Class of &%PureSubstances that
cannot be separated into two or more &%Substances by ordinary chemical
(or physical) means. This excludes nuclear reactions. &%ElementalSubstances
are composed of only one kind of atom. Examples: Iron (Fe), copper (Cu),
and oxygen (O_2).  &%ElementalSubstances are the simplest &%PureSubstances.")

(subclass Metal ElementalSubstance)

(documentation Metal EnglishLanguage "A &%Metal is an &%ElementalSubstance that conducts
heat and electricity, is shiny and reflects many colors of light, and can be hammered
into sheets or drawn into wire.  About 80% of the known chemical elements
(&%ElementalSubstances) are metals.")

(subclass Atom ElementalSubstance)
(documentation Atom EnglishLanguage "An extremely small unit of matter that retains its
identity in Chemical reactions.  It consists of an &%AtomicNucleus and
&%Electrons surrounding the &%AtomicNucleus.")

(=>
   (instance ?ATOM Atom)
   (exists (?PROTON ?ELECTRON)
      (and
         (component ?PROTON ?ATOM)
         (component ?ELECTRON ?ATOM)
         (instance ?PROTON Proton)
         (instance ?ELECTRON Electron))))

(=>
   (instance ?ATOM Atom)
   (forall (?NUCLEUS1 ?NUCLEUS2)
      (=>
         (and
            (component ?NUCLEUS1 ?ATOM)
            (component ?NUCLEUS2 ?ATOM)
            (instance ?NUCLEUS1 AtomicNucleus)
            (instance ?NUCLEUS2 AtomicNucleus))
         (equal ?NUCLEUS1 ?NUCLEUS2))))

(subclass SubatomicParticle ElementalSubstance)

(documentation SubatomicParticle EnglishLanguage "The class of &%ElementalSubstances that
are smaller than &%Atoms and compose &%Atoms.")

(=>
   (instance ?PARTICLE SubatomicParticle)
   (exists (?ATOM)
      (and
         (instance ?ATOM Atom)
         (component ?PARTICLE ?ATOM))))

(subclass AtomicNucleus SubatomicParticle)
(documentation AtomicNucleus EnglishLanguage "The core of the &%Atom.  It is composed of
&%Protons and &%Neutrons.")

(=>
   (instance ?NUCLEUS AtomicNucleus)
   (exists (?NEUTRON ?PROTON)
      (and
         (component ?NEUTRON ?NUCLEUS)
         (component ?PROTON ?NUCLEUS)
         (instance ?NEUTRON Neutron)
         (instance ?PROTON Proton))))

(subclass Electron SubatomicParticle)

(documentation Electron EnglishLanguage "&%SubatomicParticles that surround the
&%AtomicNucleus.  They have a negative charge.")

(subclass Proton SubatomicParticle)

(documentation Proton EnglishLanguage "Components of the &%AtomicNucleus.  They have a
positive charge.")

(subclass Neutron SubatomicParticle)

(documentation Neutron EnglishLanguage "Components of the &%AtomicNucleus.  They have no
charge.")

(subclass CompoundSubstance PureSubstance)
(documentation CompoundSubstance EnglishLanguage "The &%Class of &%Substances that contain
two or more elements (&%ElementalSubstances) in definite proportion by weight.
The composition of a pure compound will be invariant, regardless of the method
of preparation. Compounds are composed of more than one kind of atom (element).
The term molecule is often used for the smallest unit of a compound that still
retains all of the properties of the compound.  Examples: Table salt (sodium
chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), and water (H_2O). ")

(subclass Mixture Substance)

(documentation Mixture EnglishLanguage "A &%Mixture is two or more &%PureSubstances,
combined in varying proportions - each retaining its own specific properties.
The components of a &%Mixture can be separated by physical means, i.e. without
the making and breaking of chemical bonds. Examples: Air, table salt thoroughly
dissolved in water, milk, wood, and concrete.")

(=>
   (instance ?MIXTURE Mixture)
   (exists (?PURE1 ?PURE2)
      (and
         (instance ?PURE1 PureSubstance)
         (instance ?PURE2 PureSubstance)
         (not (equal ?PURE1 ?PURE2))
         (piece ?PURE1 ?MIXTURE)
         (piece ?PURE2 ?MIXTURE))))

(=>
   (and
      (instance ?MIXTURE Mixture)
      (piece ?SUBSTANCE ?MIXTURE)
      (not (instance ?SUBSTANCE Mixture)))
   (instance ?SUBSTANCE PureSubstance))

    
(subrelation ingredient material)
(instance ingredient BinaryPredicate)
(documentation ingredient EnglishLanguage "(&%ingredient ?ING ?S) means that ?ING 
is a material that makes up ?S")
(termFormat EnglishLanguage ingredient "ingredient")
(domainSubclass ingredient 1 Substance)
(domainSubclass ingredient 2 Substance)

(=>
  (ingredient ?ING ?S)
  (exists (?PROC ?X ?Y)
    (and
      (instance ?PROC Process)
      (instance ?X ?ING)
      (patient ?PROC ?X)
      (instance ?Y ?S)
      (result ?PROC ?Y))))
         
(subclass CorpuscularObject SelfConnectedObject)
(disjoint CorpuscularObject Substance)
(documentation CorpuscularObject EnglishLanguage "A &%SelfConnectedObject whose parts have
properties that are not shared by the whole.")

(=>
   (instance ?OBJ CorpuscularObject)
   (exists (?SUBSTANCE1 ?SUBSTANCE2)
      (and
         (subclass ?SUBSTANCE1 Substance)
         (subclass ?SUBSTANCE2 Substance)
         (material ?SUBSTANCE1 ?OBJ)
         (material ?SUBSTANCE2 ?OBJ)
         (not (equal ?SUBSTANCE1 ?SUBSTANCE2)))))

(instance substanceElement BinaryPredicate)
(domainSubclass substanceElement 1 CorpuscularObject)
(domainSubclass substanceElement 2 Substance)
(documentation substanceElement EnglishLanguage "A relation from
a kind of &%Substance to the &%CorpuscularObjects that make up the substance.
For example, the substance &%Blood has elements &%RedBloodCell,
&%WhiteBloodCell etc.")
(format EnglishLanguage substanceElement "%2 is &%made up of %1")
(termFormat EnglishLanguage substanceElement "substance element")

(subclass Region Object)

(documentation Region EnglishLanguage "A topographic location.
&%Regions encompass surfaces of &%Objects, imaginary places, and
&%GeographicAreas. Note that a &%Region is the only kind of &%Object
which can be located at itself. Note too that &%Region is not a
subclass of &%SelfConnectedObject, because some &%Regions, e.g.
archipelagos, have &%parts which are not &%connected with one
another.")

(subclass Collection Object)
(disjoint Collection SelfConnectedObject)

(documentation Collection EnglishLanguage "Collections have &%members
like &%Classes, but, unlike &%Classes, they have a position in
space-time and &%members can be added and subtracted without thereby
changing the identity of the &%Collection. Some examples are toolkits,
repeated actions, football teams, and flocks of sheep.")

(=>
  (instance ?COLL Collection)
  (exists (?OBJ)
    (member ?OBJ ?COLL)))

; (subrelation member part)
(instance member AsymmetricRelation)
(instance member BinaryPredicate)
(instance member IntransitiveRelation)
(domain member 1 Physical)
(domain member 2 Collection)
(relatedInternalConcept member instance)
(relatedInternalConcept member element)

(documentation member EnglishLanguage "A specialized common sense notion of part for
uniform parts of &%Collections.  For example, each sheep in a flock of sheep would have
the relationship of member to the flock.")

(instance subCollection BinaryPredicate)
(instance subCollection PartialOrderingRelation)
(domain subCollection 1 Collection)
(domain subCollection 2 Collection)

(documentation subCollection EnglishLanguage "(&%subCollection ?COLL1 ?COLL2) means that
the &%Collection ?COLL1 is a proper part of the &%Collection ?COLL2.")

(subrelation subCollection part)

(<=>
  (subCollection ?COLL1 ?COLL2)
  (forall (?MEMBER)
    (=>
      (member ?MEMBER ?COLL1)
      (member ?MEMBER ?COLL2))))

(subclass ContentBearingPhysical Physical)

(documentation ContentBearingPhysical EnglishLanguage "Any &%Object or &%Process that
expresses content.  This covers &%Objects that contain a &%Proposition,
such as a book, as well as &%ManualSignLanguage, which may similarly
contain a &%Proposition.")

(=>
   (instance ?OBJ ContentBearingPhysical)
   (exists (?THING)
      (represents ?OBJ ?THING)))

(subclass ContentBearingProcess ContentBearingPhysical)

;; NS: add.  Missing!
(subclass ContentBearingProcess Process)

;; NS: cf.  Note that &%ManualHumanLanguage is not a subclass of
;; &%Process, despite the documentation statement below.

(documentation ContentBearingProcess EnglishLanguage "Any &%Process, for example
&%ManualHumanLanguage, which may contain a &%Proposition.")

(subclass ContentBearingObject CorpuscularObject)
(subclass ContentBearingObject ContentBearingPhysical)
(relatedInternalConcept ContentBearingObject containsInformation)

(documentation ContentBearingObject EnglishLanguage "Any &%SelfConnectedObject that
expresses content.  This content may be a &%Proposition, e.g. when the
&%ContentBearingObject is a &%Sentence or &%Text, or it may be a representation of an
abstract or physical object, as with an &%Icon, a &%Word or a &%Phrase.")

(subclass SymbolicString ContentBearingObject)

(documentation SymbolicString EnglishLanguage "The &%Class of alphanumeric sequences.")

(subclass Character SymbolicString)

(documentation Character EnglishLanguage "An element of an alphabet, a set of numerals,
etc.  Note that a &%Character may or may not be part of a &%Language.  &%Character
is a subclass of &%SymbolicString, because every instance of &%Character is
an alphanumeric sequence consisting of a single element.")

(=>
    (instance ?STRING SymbolicString)
    (exists (?PART)
        (and
            (part ?PART ?STRING)
            (instance ?PART Character))))

(instance containsInformation BinaryPredicate)
(instance containsInformation AsymmetricRelation)
(subrelation containsInformation represents)
(domain containsInformation 1 ContentBearingPhysical)
(domain containsInformation 2 Proposition)

(documentation containsInformation EnglishLanguage "A subrelation of &%represents.  This
predicate relates a &%ContentBearingPhysical to the &%Proposition that is
expressed by the &%ContentBearingPhysical. Examples include the relationships
between a physical novel and its story and between a printed score and its
musical content.")

(subclass Icon ContentBearingPhysical)

(documentation Icon EnglishLanguage "This is the subclass of &%ContentBearingPhysical
which are not part of a &%Language and which have some sort of similarity
with the &%Objects that they represent.  This &%Class would include symbolic
roadway signs, representational art works, photographs, etc.")

(subclass Recording ContentBearingObject)
(documentation Recording EnglishLanguage "&%Recording refers to a &%ContentBearingObject
that represents some &%Process that happened in real life")
(termFormat EnglishLanguage Recording "recording")

(subclass MotionPicture Recording)
(subclass MotionPicture Text)
(documentation MotionPicture EnglishLanguage "A &%ContentBearingObject which depicts
motion (and which may have an audio or text component as well).  This &%Class covers
films, videos, etc.")

(subclass LinguisticExpression ContentBearingPhysical)
(disjoint LinguisticExpression Icon)

(documentation LinguisticExpression EnglishLanguage "This is the subclass of
&%ContentBearingPhysical which are language-related.  Note that this &%Class
encompasses both &%Language and the the elements of &%Languages,
e.g. &%Words.")

(subclass Language LinguisticExpression)
(disjointDecomposition Language AnimalLanguage HumanLanguage ComputerLanguage)

(documentation Language EnglishLanguage "A system of signs for expressing thought.  The
system can be either natural or artificial, i.e. something that emerges
gradually as a cultural artifact or something that is intentionally created
by a person or group of people.")

(subclass WrittenLanguage Language)

(subclass AnimalLanguage Language)

(documentation AnimalLanguage EnglishLanguage "The &%subclass of &%Languages used by
&%Animals other than &%Humans.")

(=>
   (and
      (instance ?LANG AnimalLanguage)
      (agent ?PROC ?AGENT)
      (instrument ?PROC ?LANG))
   (and
      (instance ?AGENT Animal)
      (not (instance ?AGENT Human))))

(subclass ArtificialLanguage Language)

(documentation ArtificialLanguage EnglishLanguage "The &%subclass of &%Languages that are
designed by &%Humans.")

(subclass ComputerLanguage ArtificialLanguage)

(documentation ComputerLanguage EnglishLanguage "The class of &%Languages designed for
and interpreted by a computer.")

(=>
   (and
      (instance ?LANG ComputerLanguage)
      (agent ?PROC ?AGENT)
      (instrument ?PROC ?LANG))
   (instance ?AGENT Machine))

(subclass HumanLanguage Language)
(partition HumanLanguage NaturalLanguage ConstructedLanguage)
(partition HumanLanguage SpokenHumanLanguage ManualHumanLanguage)

(documentation HumanLanguage EnglishLanguage "The &%subclass of &%Languages used by
&%Humans.")

(=>
   (and
      (instance ?LANG HumanLanguage)
      (agent ?PROC ?AGENT)
      (instrument ?PROC ?LANG))
   (instance ?AGENT Human))

(subclass ConstructedLanguage HumanLanguage)
(subclass ConstructedLanguage ArtificialLanguage)
(documentation ConstructedLanguage EnglishLanguage "An &%ConstructedLanguage is a
&%HumanLanguage that did not evolve spontaneously within a language
community, but rather had its core grammar and vocabulary invented by
one or more language experts, often with an aim to produce a more
grammatically regular language than any language that has evolved
naturally.  This &%Class includes languages like Esperanto that were
created to facilitate international communication.")

(=>
   (instance ?LANG ConstructedLanguage)
   (exists (?PLAN)
      (and
         (instance ?PLAN Planning)
         (result ?PLAN ?LANG))))

(subclass NaturalLanguage HumanLanguage)

(documentation NaturalLanguage EnglishLanguage "The &%subclass of &%HumanLanguages which
are not designed and which evolve from generation to generation.  This
&%Class includes all of the national languages, e.g. English, Spanish,
Japanese, etc.  Note that this class includes dialects of natural
languages.")

(subclass ManualHumanLanguage HumanLanguage)

(documentation ManualHumanLanguage EnglishLanguage "A &%ManualHumanLanguage is a
&%HumanLanguage which has as its medium gestures and movement, such
as the shape, position, and movement of the hands.")

(subclass SpokenHumanLanguage HumanLanguage)

(documentation SpokenHumanLanguage EnglishLanguage "A &%SpokenHumanLanguage is a
&%HumanLanguage which has as its medium the human voice. It can also
be represented visually through writing, although not all
&%SpokenHumanLanguages have a codified written form.")

(instance language BinaryPredicate)
(domain language 1 ContentBearingPhysical)
(domain language 2 Language)
(format EnglishLanguage language "%2 is %n a &%Language of %1.")

(documentation language EnglishLanguage "A relation between a &%ContentBearingPhysical
and a &%Language in that &%Entity.  Note that this could be a sign language
process as well as a document.  Note also that a given &%Text might have more than
one &%Language, so this is a &%Relation and not a &%Function.")

(subclass WrittenHumanLanguage HumanLanguage)
(documentation WrittenHumanLanguage EnglishLanguage "The form of a &%HumanLanguage
used in &%Writing.  Not all &%HumanLanguages have a written form.  There may be
forms of a language in written form that are radically different for the same
spoken form, i.e. Pinyin and written Chinese.")

(=>
  (instance ?W Writing)
  (exists (?S ?L)
    (and
      (instance ?S Text)
      (instance ?L WrittenHumanLanguage)
      (language ?S ?L))))
      
(instance ChineseTraditionalLanguage WrittenHumanLanguage)
(documentation ChineseTraditionalLanguage EnglishLanguage "The formal Chinese
script used in government and scholarly writings in China prior to the 1950's
and still used in &%HongKong and &%Taiwan.")

(instance ChineseSimplifiedWriting WrittenHumanLanguage)
(documentation ChineseSimplifiedWriting EnglishLanguage "A simplification of
the Chinese character system largely standardized in 1964 and used in the 
People's Republic of China.")

(instance ChinesePinyinWriting WrittenHumanLanguage)
(documentation ChinesePinyinWriting EnglishLanguage "A phonetic representation
that adds diacritics to latin characters to express tones.")

(instance EnglishLanguage NaturalLanguage)
(instance EnglishLanguage SpokenHumanLanguage)

(documentation EnglishLanguage EnglishLanguage "A Germanic language that incorporates many
roots from the Romance languages.  It is the official language of the &%UnitedStates,
the &%UnitedKingdom, and many other countries.")

(subclass Word LinguisticExpression)

(documentation Word EnglishLanguage "A term of a &%Language that represents a concept.")

(subclass Formula Sentence)

(documentation Formula EnglishLanguage "A syntactically well-formed formula in the
SUO-KIF knowledge representation language.")

;; The following ground facts incorporate the 'Agent' hierarchy from the
;; corresponding ontology on the Ontolingua server.  It also includes
;; predicates defined in the ITBM-CNR ontology "Actors".

(subclass Agent Object)

(documentation Agent EnglishLanguage "Something or someone that can act on its own and
produce changes in the world.")

(=>
  (instance ?AGENT Agent)
  (exists (?PROC)
    (capability ?PROC agent ?AGENT)))

(subclass SentientAgent Agent)

(documentation SentientAgent EnglishLanguage "A &%SentientAgent is an
&%Agent that is capable of &%Perception and experiences some level of
consciousness (see &%ConsciousnessAttribute).  If the &%Agent is able
to reason at a comparatively high level (evinced by the ability to
learn, plan, and feel emotions), then it is also an instance of
&%CognitiveAgent.  A &%DomesticAnimal is a &%SentientAgent, but may or
may not be a &%CognitiveAgent, depending on the type of &%Animal.")

(subclass CognitiveAgent SentientAgent)

(documentation CognitiveAgent EnglishLanguage "A &%CognitiveAgent is
an &%Agent that has the ability to reason, deliberate, make plans, and
experience emotions.  Although &%Human is a subclass of
&%CognitiveAgent, there may be instances of &%CognitiveAgent which are
not also instances of &%Human.  For example, &%Primates, dolphins,
whales, and some extraterrestrials (if they exist) might be considered
&%CognitiveAgents.")

(subclass LegalAgent RelationalAttribute)

(documentation LegalAgent EnglishLanguage "A &%LegalAgent is an &%Attribute of an
&%Agent that is allowed by law to to act and be treated as a legal
person for certain purposes, such as being a party to a lawsuit,
owning property, and entering into a contract.  Typically, a
&%LegalAgent is either an adult &%Human or some type of
&%Organization.  Depending on the prevailing legal system in a given
time and location, &%Humans in general, as well as other
&%CognitiveAgents, typically will have additional legal rights and
obligations beyond those accorded to &%LegalAgents.  See the Wikipedia
description of <a
href=http://en.wikipedia.org/wiki/Juristic_person>Juristic
person</a>.")

(<=>
  (holdsDuring ?TIME
    (attribute ?AGENT LegalAgent))
  (holdsDuring ?TIME
    (or
      (capability LegalAction agent ?AGENT)
      (capability LegalAction patient ?AGENT))))

(instance leader BinaryPredicate)
(instance leader AsymmetricRelation)
(instance leader SingleValuedRelation)
(domain leader 1 Agent)
(domain leader 2 Human)

(documentation leader EnglishLanguage "(&%leader ?INSTITUTION ?PERSON)
means that the leader of ?INSTITUTION is ?PERSON.")

(=>
  (holdsDuring ?TIME (leader ?X ?Y))
  (holdsDuring ?TIME (attribute ?Y Living)))

(subclass Process Physical)
(documentation Process EnglishLanguage "The class of things that happen
and have temporal parts or stages.  Examples include extended events
like a football match or a race, actions like &%Pursuing and &%Reading,
and biological processes. The formal definition is: anything that occurs in
time but is not an &%Object.  Note that a &%Process may have
participants 'inside' it which are &%Objects, such as the players
in a football match.  In a 4D ontology, a &%Process is something whose
spatiotemporal extent is thought of as dividing into temporal stages
roughly perpendicular to the time-axis.")

(subclass DualObjectProcess Process)

(documentation DualObjectProcess EnglishLanguage "Any &%Process that requires two,
nonidentical &%patients.")

(=>
   (instance ?PROCESS DualObjectProcess)
   (exists (?OBJ1 ?OBJ2)
      (and
         (patient ?PROCESS ?OBJ1)
         (patient ?PROCESS ?OBJ2)
         (not (equal ?OBJ1 ?OBJ2)))))

(subclass SingleAgentProcess Process)
(documentation SingleAgentProcess EnglishLanguage "&%SingleAgentProcess
is the &%Class of all &%Processes that require exactly one &%agent in order to occur.")

(=>
  (instance ?PROC SingleAgentProcess)
  (exists (?AGENT)
    (agent ?PROC ?AGENT)))

(=>
    (and
      (instance ?PROC SingleAgentProcess)
      (agent ?PROC ?AGENT1)
      (agent ?PROC ?AGENT2))
    (and
      (equal ?AGENT1 ?AGENT2)
      (not
        (exists (?AGENT3)
          (and
            (agent ?PROC ?AGENT3)
            (not
              (equal ?AGENT3 ?AGENT1)))))))

(subclass Abstract Entity)
(disjointDecomposition Abstract Quantity Attribute Relation Proposition List)

(documentation Abstract EnglishLanguage "Properties or qualities as distinguished from any
particular embodiment of the properties/qualities in a physical medium.
Instances of Abstract can be said to exist in the same sense as mathematical
objects such as sets and relations, but they cannot exist at a particular
place and time without some physical encoding or embodiment.")

;; Something is Abstract just in case it has neither a spatial nor temporal
;; location.  the disjointness declaration above handles the axioms below,
;; which otherwise cause a type violation

; (=>
;   (instance ?ABS Abstract)
;   (not
;      (exists (?POINT)
;        (located ?ABS ?POINT))))

;(=>
;   (instance ?ABS Abstract)
;   (not
;      (exists (?POINT)
;        (time ?ABS ?POINT))))

(subclass Quantity Abstract)

(documentation Quantity EnglishLanguage "Any specification of how many or how much of
something there is.  Accordingly, there are two subclasses of &%Quantity:
&%Number (how many) and &%PhysicalQuantity (how much).")

(subclass Attribute Abstract)
;(partition Attribute InternalAttribute RelationalAttribute PerceptualAttribute)
(partition Attribute InternalAttribute RelationalAttribute)

(documentation Attribute EnglishLanguage "Qualities which we cannot or choose not to
reify into subclasses of.")

(instance property BinaryPredicate)
(domain property 1 Entity)
(domain property 2 Attribute)

(documentation property EnglishLanguage "This &%Predicate holds between an instance of
&%Entity and an instance of &%Attribute.  (&%property ?ENTITY ?ATTR)
means that ?ENTITY has the &%Attribute ?ATTR.")

(instance attribute AsymmetricRelation)
(instance attribute IrreflexiveRelation)
(instance attribute TotalValuedRelation)
(instance attribute BinaryPredicate)
(subrelation attribute property)
(domain attribute 1 Object)
(domain attribute 2 Attribute)

(documentation attribute EnglishLanguage "(&%attribute ?OBJECT ?PROPERTY) means that
?PROPERTY is a &%Attribute of ?OBJECT.  For example,
(&%attribute &%MyLittleRedWagon &%Red).")

(instance manner AsymmetricRelation)
(instance manner IrreflexiveRelation)
(instance manner TotalValuedRelation)
(instance manner BinaryPredicate)
(subrelation manner property)
(domain manner 1 Process)
(domain manner 2 Attribute)
(disjointRelation manner attribute)

(documentation manner EnglishLanguage "(&%manner ?PROCESS ?MANNER) means that the
&%Process ?PROCESS is qualified by the &%Attribute ?MANNER.  The &%Attributes
of &%Processes are usually denoted by adverbs and include things like the
speed of the wind, the style of a dance, or the intensity of a sports
competition.")

; Seldom used function that appears to cause a very complex contradiction

; (instance AbstractionFn UnaryFunction)
; (instance AbstractionFn PartialValuedRelation)
; (domain AbstractionFn 1 Class)
; (range AbstractionFn Attribute)
; (documentation AbstractionFn EnglishLanguage "A &%UnaryFunction that maps a &%Class into
; the instance of &%Attribute that specifies the condition(s) for membership
; in the &%Class.")                                                            ;  here !!!!!!!

; (<=>
;   (equal (AbstractionFn ?CLASS) ?ATTR)
;    (forall (?INST)
;       (<=>
;          (instance ?INST ?CLASS)
;          (property ?INST ?ATTR))))

(instance ExtensionFn UnaryFunction)
(instance ExtensionFn PartialValuedRelation)
(domain ExtensionFn 1 Attribute)
(range ExtensionFn Class)

(documentation ExtensionFn EnglishLanguage "A &%UnaryFunction that maps an &%Attribute
into the &%Class whose condition for membership is the &%Attribute.")

; (<=>
;    (equal (ExtensionFn ?ATTRIBUTE) ?CLASS)
;    (equal (AbstractionFn ?CLASS) ?ATTRIBUTE))

(documentation AttrFn EnglishLanguage "For given class and for given attribute, return
a subclass of the class of the argument having the attribute")

(instance AttrFn BinaryFunction)
(instance AttrFn PartialValuedRelation)
(rangeSubclass AttrFn Object)
(domainSubclass AttrFn 1 Object)
(domain AttrFn 2 Attribute)

(=>
  (and
    (equal ?X
      (AttrFn ?CLASS ?ATTR))
    (instance ?I ?X))
  (and
    (instance ?I ?CLASS)
    (subclass ?X ?CLASS)
    (attribute ?I ?ATTR)))

(=>
  (instance ?X
    (AttrFn ?CLASS ?ATTR))
  (and
    (instance ?X ?CLASS)
    (attribute ?X ?ATTR)))

(=>
  (and
    (instance ?X ?CLASS)
    (attribute ?X ?ATTR))
  (instance ?X
    (AttrFn ?CLASS ?ATTR)))

(subclass InternalAttribute Attribute)

(documentation InternalAttribute EnglishLanguage "Any &%Attribute of an &%Entity that is
an internal property of the &%Entity, e.g. its shape, its color, its fragility,
etc.")

(subclass PhysicalAttribute InternalAttribute)

(documentation PhysicalAttribute EnglishLanguage "An &%InternalAttribute given by physical
properties of the object.")

(subclass RelationalAttribute Attribute)

(documentation RelationalAttribute EnglishLanguage "Any &%Attribute that an &%Entity has
by virtue of a relationship that it bears to another &%Entity or set of &%Entities,
e.g. &%SocialRoles and &%PositionalAttributes.")

;; The following formulas incorporate the Number hierarchy from the
;; ontology 'kif-numbers' on the Ontolingua server.

(subclass Number Quantity)
(partition Number RealNumber ImaginaryNumber ComplexNumber)

(documentation Number EnglishLanguage "A measure of how many things there are, or how
much there is, of a certain kind.  &%Numbers are subclassed into
&%RealNumber, &%ComplexNumber, and &%ImaginaryNumber.")

(instance lessThan BinaryPredicate)
(instance lessThan TransitiveRelation)
(instance lessThan IrreflexiveRelation)
(instance lessThan RelationExtendedToQuantities)
(trichotomizingOn lessThan RealNumber)
(domain lessThan 1 RealNumber)
(domain lessThan 2 RealNumber)

(documentation lessThan EnglishLanguage "(&%lessThan ?NUMBER1 ?NUMBER2) is true just
in case the &%Quantity ?NUMBER1 is less than the &%Quantity ?NUMBER2.")

(instance greaterThan BinaryPredicate)
(instance greaterThan TotalValuedRelation)
(instance greaterThan TransitiveRelation)
(instance greaterThan IrreflexiveRelation)
(instance greaterThan RelationExtendedToQuantities)
(trichotomizingOn greaterThan RealNumber)
(domain greaterThan 1 RealNumber)
(domain greaterThan 2 RealNumber)
(inverse greaterThan lessThan)

(documentation greaterThan EnglishLanguage "(&%greaterThan ?NUMBER1 ?NUMBER2) is true
just in case the &%Quantity ?NUMBER1 is greater than the &%Quantity
?NUMBER2.")

(instance lessThanOrEqualTo BinaryPredicate)
(instance lessThanOrEqualTo PartialOrderingRelation)
(instance lessThanOrEqualTo RelationExtendedToQuantities)
(trichotomizingOn lessThanOrEqualTo RealNumber)
(domain lessThanOrEqualTo 1 RealNumber)
(domain lessThanOrEqualTo 2 RealNumber)

(documentation lessThanOrEqualTo EnglishLanguage "(&%lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
is true just in case the &%Quantity ?NUMBER1 is less than or equal to
the &%Quantity ?NUMBER2.")

(<=>
  (lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
  (or
    (equal ?NUMBER1 ?NUMBER2)
    (lessThan ?NUMBER1 ?NUMBER2)))

(instance greaterThanOrEqualTo BinaryPredicate)
(instance greaterThanOrEqualTo PartialOrderingRelation)
(instance greaterThanOrEqualTo RelationExtendedToQuantities)
(trichotomizingOn greaterThanOrEqualTo RealNumber)
(domain greaterThanOrEqualTo 1 RealNumber)
(domain greaterThanOrEqualTo 2 RealNumber)
(inverse greaterThanOrEqualTo lessThanOrEqualTo)

(documentation greaterThanOrEqualTo EnglishLanguage "(&%greaterThanOrEqualTo ?NUMBER1
?NUMBER2) is true just in case the &%Quantity ?NUMBER1 is greater than or equal to the
&%Quantity ?NUMBER2.")

(<=>
  (greaterThanOrEqualTo ?NUMBER1 ?NUMBER2)
  (or
    (equal ?NUMBER1 ?NUMBER2)
    (greaterThan ?NUMBER1 ?NUMBER2)))

(subclass RealNumber Number)
(partition RealNumber NegativeRealNumber NonnegativeRealNumber)
(partition RealNumber RationalNumber IrrationalNumber)

(documentation RealNumber EnglishLanguage "Any &%Number that can be expressed as a
(possibly infinite) decimal, i.e. any &%Number that has a position
on the number line.")

(subclass ImaginaryNumber Number)

(documentation ImaginaryNumber EnglishLanguage "Any &%Number that is the result of
multiplying a &%RealNumber by the square root of -1.")

;(=>
;   (instance ?NUMBER ImaginaryNumber)
;   (exists (?REAL)
;      (and
;         (instance ?REAL RealNumber)
;         (equal ?NUMBER (MultiplicationFn ?REAL (SquareRootFn -1))))))

(subclass RationalNumber RealNumber)

(documentation RationalNumber EnglishLanguage "Any &%RealNumber that is the product of
dividing two &%Integers.")

(subclass IrrationalNumber RealNumber)

(documentation IrrationalNumber EnglishLanguage "Any &%RealNumber that is not also a
&%RationalNumber.")

(subclass NonnegativeRealNumber RealNumber)

(documentation NonnegativeRealNumber EnglishLanguage "A &%RealNumber that is greater than
or equal to zero.")

(<=>
   (instance ?NUMBER NonnegativeRealNumber)
   (and
      (greaterThanOrEqualTo ?NUMBER 0)
      (instance ?NUMBER RealNumber)))

(subclass PositiveRealNumber NonnegativeRealNumber)

(documentation PositiveRealNumber EnglishLanguage "A &%RealNumber that is greater than
zero.")

(<=>
   (instance ?NUMBER PositiveRealNumber)
   (and
      (greaterThan ?NUMBER 0)
      (instance ?NUMBER RealNumber)))

(subclass NegativeRealNumber RealNumber)

(documentation NegativeRealNumber EnglishLanguage "A &%RealNumber that is less than
zero.")

(<=>
   (instance ?NUMBER NegativeRealNumber)
   (and
      (lessThan ?NUMBER 0)
      (instance ?NUMBER RealNumber)))

(subclass Integer RationalNumber)
(partition Integer OddInteger EvenInteger)
(partition Integer NegativeInteger NonnegativeInteger)

(documentation Integer EnglishLanguage "A negative or nonnegative whole number.")

(subclass EvenInteger Integer)

(documentation EvenInteger EnglishLanguage "An &%Integer that is evenly divisible
by 2.")

(subclass OddInteger Integer)

(documentation OddInteger EnglishLanguage "An &%Integer that is not evenly divisible
by 2.")

(subclass PrimeNumber Integer)

(documentation PrimeNumber EnglishLanguage "An &%Integer that is evenly divisible only
by itself and 1.")

(subclass NonnegativeInteger Integer)
(subclass NonnegativeInteger NonnegativeRealNumber)

(documentation NonnegativeInteger EnglishLanguage "An &%Integer that is greater than
or equal to zero.")

(=>
  (instance ?X NonnegativeInteger)
  (greaterThan ?X -1))

(subclass NegativeInteger Integer)
(subclass NegativeInteger NegativeRealNumber)

(documentation NegativeInteger EnglishLanguage "An &%Integer that is less than zero.")

(=>
  (instance ?X NegativeInteger)
  (greaterThan 0 ?X))

(subclass PositiveInteger NonnegativeInteger)
(subclass PositiveInteger PositiveRealNumber)

(documentation PositiveInteger EnglishLanguage "An &%Integer that is greater than zero.")

(=>
  (instance ?X PositiveInteger)
  (greaterThan ?X 0))

(subclass BinaryNumber RealNumber)

(documentation BinaryNumber EnglishLanguage "Elements from the number system with base 2.
Every &%BinaryNumber is expressed as a sequence of the digits 1 and 0.")

(subclass ComplexNumber Number)
(disjoint ComplexNumber RealNumber)

(documentation ComplexNumber EnglishLanguage "A &%Number that has the form: x + yi, where
x and y are &%RealNumbers and i is the square root of -1.")

;(=>
;   (instance ?NUMBER ComplexNumber)
;   (exists (?REAL1 ?REAL2)
;      (and
;         (instance ?REAL1 RealNumber)
;         (instance ?REAL2 RealNumber)
;         (equal ?NUMBER
;           (AdditionFn ?REAL1
;             (MultiplicationFn ?REAL2
;               (SquareRootFn -1)))))))

(subclass PhysicalQuantity Quantity)
(partition PhysicalQuantity ConstantQuantity FunctionQuantity)

(documentation PhysicalQuantity EnglishLanguage "A &%PhysicalQuantity is a measure of
some quantifiable aspect of the modeled world, such as 'the earth's
diameter' (a constant length) and 'the stress in a loaded deformable
solid' (a measure of stress, which is a function of three spatial
coordinates).  Every &%PhysicalQuantity is either a &%ConstantQuantity
or &%FunctionQuantity.  Instances of &%ConstantQuantity are dependent
on a &%UnitOfMeasure, while instances of &%FunctionQuantity are
&%Functions that map instances of &%ConstantQuantity to other instances
of &%ConstantQuantity (e.g., a &%TimeDependentQuantity is a
&%FunctionQuantity).  Although the name and definition of
&%PhysicalQuantity is borrowed from physics, a &%PhysicalQuantity need
not be material.  Aside from the dimensions of length, time, velocity,
etc., nonphysical dimensions such as currency are also possible.
Accordingly, amounts of money would be instances of &%PhysicalQuantity.
A &%PhysicalQuantity is  distinguished from a pure &%Number by the fact that
the former is associated with a dimension of measurement.")

(subclass ConstantQuantity PhysicalQuantity)

(documentation ConstantQuantity EnglishLanguage "A &%ConstantQuantity
is a &%PhysicalQuantity that has a constant value, e.g. 3 &%Meters and
5 &%HourDurations.  The magnitude (see &%MagnitudeFn) of every
&%ConstantQuantity is a &%RealNumber.  &%ConstantQuantity is
distinguished from &%FunctionQuantity, in that each instance of the
latter is formed through the mapping of one &%PhysicalQuantity to
another &%PhysicalQuantity.  Each instance of &%ConstantQuantity is
expressed with the &%BinaryFunction &%MeasureFn, which takes a
&%Number and a &%UnitOfMeasure as arguments.  For example, 3 &%Meters
is expressed as (&%MeasureFn 3 &%Meter).  Instances of
&%ConstantQuantity form a partial order (see
&%PartialOrderingRelation) with the &%lessThan relation, since
&%lessThan is a &%RelationExtendedToQuantities and &%lessThan is
defined over the &%RealNumbers.  The &%lessThan relation is not a
total order (see &%TotalOrderingRelation) over the class
&%ConstantQuantity since elements of some subclasses of
&%ConstantQuantity (such as length quantities) are incomparable to
elements of other subclasses of &%ConstantQuantity
(such as mass quantities).")

(subclass TimeMeasure ConstantQuantity)

(documentation TimeMeasure EnglishLanguage "The class of temporal durations (instances
of &%TimeDuration) and positions of &%TimePoints and &%TimeIntervals along
the universal timeline (instances of &%TimePosition).")

(subclass TimeDuration TimeMeasure)

(documentation TimeDuration EnglishLanguage "Any measure of length of time,
with or without respect to the universal timeline.")

(subclass TimePosition TimeMeasure)
(partition TimePosition TimeInterval TimePoint)

(documentation TimePosition EnglishLanguage "Any &%TimePoint or &%TimeInterval
along the universal timeline from &%NegativeInfinity to &%PositiveInfinity.")

(subclass TimeInterval TimePosition)
(termFormat EnglishLanguage TimeInterval "timeframe")
(documentation TimeInterval EnglishLanguage "An interval of time.
Note that a &%TimeInterval has both an extent and a location on the
universal timeline.  Note too that a &%TimeInterval has no gaps,
i.e. this class contains only convex time intervals.")

(subclass TimePoint TimePosition)

(documentation TimePoint EnglishLanguage "An extensionless point on
the universal timeline.  The &%TimePoints at which &%Processes occur
can be known with various degrees of precision and approximation, but
conceptually &%TimePoints are point-like and not interval-like.  That
is, it doesn't make sense to talk about how long a &%TimePoint
lasts.")

(subclass FunctionQuantity PhysicalQuantity)

(documentation FunctionQuantity EnglishLanguage "A &%FunctionQuantity
is a &%PhysicalQuantity that is returned by a &%Function that maps
from one or more instances of &%ConstantQuantity to another instance
of &%ConstantQuantity.  For example, the velocity of a particle would
be represented by a &%FunctionQuantity relating values of time (which
are instances of &%ConstantQuantity) to values of distance
(also instances of &%ConstantQuantity).  Note that all elements of the
range of the &%Function corresponding to a &%FunctionQuantity have the
same physical dimension as the &%FunctionQuantity itself.")

(subclass UnaryConstantFunctionQuantity FunctionQuantity)

(documentation UnaryConstantFunctionQuantity EnglishLanguage "A
&%subclass of &%FunctionQuantity, instances of which are returned by
&%UnaryFunctions that map from one instance of the &%Class
&%ConstantQuantity to another instance of the &%Class
&%ConstantQuantity.")

(subclass TimeDependentQuantity UnaryConstantFunctionQuantity)
(documentation TimeDependentQuantity EnglishLanguage "A
&%UnaryConstantFunctionQuantity of continuous time.  All instances of
this &%Class are returned by &%Functions that map a time quantity into
another &%ConstantQuantity such as temperature.  For example, 'the
temperature at the top of the Empire State Building' is a
&%TimeDependentQuantity, since its value depends on the time.")

(subclass SetOrClass Abstract)
(partition SetOrClass Set Class)

(documentation SetOrClass EnglishLanguage "The &%SetOrClass of &%Sets
and &%Classes, i.e. any instance of &%Abstract that has &%elements or
&%instances.")

;; may need to comment out to avoid (instance SetOrClass SetOrClass)
(subclass Class SetOrClass)

(documentation Class EnglishLanguage "&%Classes differ from &%Sets in three important
respects. First, &%Classes are not assumed to be extensional.  That is, distinct
&%Classes might well have exactly the same instances.  Second, &%Classes typically
have an associated `condition' that determines the instances of the &%Class.  So,
for example, the condition `human' determines the &%Class of &%Humans.  Note that
some &%Classes might satisfy their own condition (e.g., the &%Class of &%Abstract
things is &%Abstract) and hence be instances of themselves.  Third, the instances
of a class may occur only once within the class, i.e. a class cannot contain
duplicate instances.")

(subclass Set SetOrClass)

(documentation Set EnglishLanguage "A &%SetOrClass that satisfies extensionality as well
as other constraints specified by some choice of set theory.  &%Sets differ
from &%Classes in two important respects.  First, &%Sets are extensional -
two &%Sets with the same &%elements are identical.  Second, a &%Set can be
an arbitrary stock of objects.  That is, there is no requirement that &%Sets
have an associated condition that determines their membership.  Note that &%Sets
are not assumed to be unique sets, i.e. &%elements of a &%Set may occur more
than once in the &%Set.")

(subclass Relation Abstract)
(disjointDecomposition Relation BinaryRelation TernaryRelation QuaternaryRelation
QuintaryRelation VariableArityRelation)
(partition Relation Predicate Function)
(partition Relation TotalValuedRelation PartialValuedRelation)

(documentation Relation EnglishLanguage "The &%Class of relations.  There are two kinds
of &%Relation:  &%Predicate and &%Function.  &%Predicates and
&%Functions both denote sets of ordered n-tuples.  The difference between
these two &%Classes is that &%Predicates cover formula-forming operators, while
&%Functions cover term-forming operators. ")

;; The following part of the ontology covers the various classes under
;; 'Relation'.  Most of the content here is taken from frame-ontology,
;; abstract-algebra, kif-relations, and kif-extensions (ontologies
;; available on the Ontolingua server).

(subclass SingleValuedRelation Relation)
(subclass SingleValuedRelation InheritableRelation)

(documentation SingleValuedRelation EnglishLanguage "A &%Relation is a
&%SingleValuedRelation just in case an assignment of values to every argument position
except the last one determines at most one assignment for the last argument position.
Note that not all &%SingleValuedRelations are &%TotalValuedRelations.")

;; TODO: this appears to be a syntax error when call replacePredVar in sigma's code
;(=>
;   (instance ?REL SingleValuedRelation)
;   (forall (@ROW ?ITEM1 ?ITEM2)
;      (=>
;         (and
;            (?REL @ROW ?ITEM1)
;            (?REL @ROW ?ITEM2))
;         (equal ?ITEM1 ?ITEM2))))

(subclass TotalValuedRelation Relation)
(subclass TotalValuedRelation InheritableRelation)

(documentation TotalValuedRelation EnglishLanguage "A &%Relation is a
&%TotalValuedRelation just in case there exists an assignment for the last argument
position of the &%Relation given any assignment of values to every argument position
except the last one.  Note that declaring a &%Relation to be both a &%TotalValuedRelation
and a &%SingleValuedRelation means that it is a total function.")

; TODO: appears to cause a contradiction
;(<=>
;   (and
;     (instance ?REL TotalValuedRelation)
;     (instance ?REL Predicate))
;   (exists (?VALENCE)
;      (and
;         (instance ?REL Relation)
;         (valence ?REL ?VALENCE)
;         (=>
;            (forall (?NUMBER ?ELEMENT ?CLASS)
;               (=>
;                  (and
;                     (lessThan ?NUMBER ?VALENCE)
;                     (domain ?REL ?NUMBER ?CLASS)
;                     (equal ?ELEMENT (ListOrderFn (ListFn @ROW) ?NUMBER)))
;                  (instance ?ELEMENT ?CLASS)))
;            (exists (?ITEM)
;               (?REL @ROW ?ITEM))))))

(subclass PartialValuedRelation Relation)

(documentation PartialValuedRelation EnglishLanguage "A &%Relation is a &%PartialValuedRelation
just in case it is not a &%TotalValuedRelation, i.e. just in case assigning values
to every argument position except the last one does not necessarily mean that there
is a value assignment for the last argument position.  Note that, if a &%Relation
is both a &%PartialValuedRelation and a &%SingleValuedRelation, then it is a partial
function.")

(subclass BinaryRelation Relation)
(subclass BinaryRelation InheritableRelation)

(documentation BinaryRelation EnglishLanguage "&%BinaryRelations are relations that are
true only of pairs of things.  &%BinaryRelations are represented as slots
in frame systems.")

(subclass ReflexiveRelation BinaryRelation)

(documentation ReflexiveRelation EnglishLanguage "&%Relation ?REL is reflexive iff
(?REL ?INST ?INST) for all ?INST.")

;; appear to be a contradiction when ?REL = subclass
;;(<=>
;;   (instance ?REL ReflexiveRelation)
;;   (?REL ?INST ?INST))

(subclass IrreflexiveRelation BinaryRelation)

(documentation IrreflexiveRelation EnglishLanguage "&%Relation ?REL is irreflexive
iff (?REL ?INST ?INST) holds for no value of ?INST.")

(=>
   (instance ?REL IrreflexiveRelation)
   (forall (?INST)
      (not
         (?REL ?INST ?INST))))

(subclass SymmetricRelation BinaryRelation)
(disjoint SymmetricRelation AntisymmetricRelation)

(documentation SymmetricRelation EnglishLanguage "A &%BinaryRelation ?REL is
symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and
?INST2.")

(=>
   (instance ?REL SymmetricRelation)
   (forall (?INST1 ?INST2)
      (=>
         (?REL ?INST1 ?INST2)
         (?REL ?INST2 ?INST1))))

(subclass AsymmetricRelation IrreflexiveRelation)
(subclass AsymmetricRelation AntisymmetricRelation)

(documentation AsymmetricRelation EnglishLanguage "A &%BinaryRelation is asymmetric if and
only if it is both an &%AntisymmetricRelation and an &%IrreflexiveRelation.")

(=>
  (instance ?REL AsymmetricRelation)
  (and
    (instance ?REL AntisymmetricRelation)
    (instance ?REL IrreflexiveRelation)))

(=>
  (and
    (instance ?REL AntisymmetricRelation)
    (instance ?REL IrreflexiveRelation))
  (instance ?REL AsymmetricRelation))

(subclass AntisymmetricRelation BinaryRelation)

(documentation AntisymmetricRelation EnglishLanguage "&%BinaryRelation ?REL is an
&%AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1
?INST2) implies not (?REL ?INST2 ?INST1).  In other words, for all ?INST1
and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1
and ?INST2 are identical.  Note that it is possible for an
&%AntisymmetricRelation to be a &%ReflexiveRelation.")

(=>
   (instance ?REL AntisymmetricRelation)
   (forall (?INST1 ?INST2)
      (=>
         (and
            (?REL ?INST1 ?INST2)
            (?REL ?INST2 ?INST1))
         (equal ?INST1 ?INST2))))

(subclass TrichotomizingRelation BinaryRelation)

(documentation TrichotomizingRelation EnglishLanguage "A &%BinaryRelation ?REL is a
&%TrichotomizingRelation just in case all ordered pairs consisting of
distinct individuals are elements of ?REL.")

(=>
   (instance ?REL TrichotomizingRelation)
   (forall (?INST1 ?INST2)
      (or
         (and
            (?REL ?INST1 ?INST2)
            (not (equal ?INST1 ?INST2))
            (not (?REL ?INST2 ?INST1)))
         (and
            (not (?REL ?INST1 ?INST2))
            (equal ?INST1 ?INST2)
            (not (?REL ?INST2 ?INST1)))
         (and
            (not (?REL ?INST1 ?INST2))
            (not (equal ?INST1 ?INST2))
            (?REL ?INST2 ?INST1)))))

(subclass TransitiveRelation BinaryRelation)
(disjoint TransitiveRelation IntransitiveRelation)

(documentation TransitiveRelation EnglishLanguage "A &%BinaryRelation ?REL is transitive
if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3),
for all ?INST1, ?INST2, and ?INST3.")

(=>
   (instance ?REL TransitiveRelation)
   (forall (?INST1 ?INST2 ?INST3)
      (=>
         (and
            (?REL ?INST1 ?INST2)
            (?REL ?INST2 ?INST3))
         (?REL ?INST1 ?INST3))))

(subclass IntransitiveRelation BinaryRelation)

(documentation IntransitiveRelation EnglishLanguage "A &%BinaryRelation ?REL is
intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not
(?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.")

(=>
   (instance ?REL IntransitiveRelation)
   (forall (?INST1 ?INST2 ?INST3)
      (=>
         (and
            (?REL ?INST1 ?INST2)
            (?REL ?INST2 ?INST3))
         (not
            (?REL ?INST1 ?INST3)))))

(subclass PartialOrderingRelation TransitiveRelation)
(subclass PartialOrderingRelation AntisymmetricRelation)
(subclass PartialOrderingRelation ReflexiveRelation)
(subclass PartialOrderingRelation TotalValuedRelation)

(documentation PartialOrderingRelation EnglishLanguage "A &%BinaryRelation is a partial
ordering if it is a &%ReflexiveRelation, an &%AntisymmetricRelation, and
a &%TransitiveRelation.")

(subclass TotalOrderingRelation PartialOrderingRelation)
(subclass TotalOrderingRelation TrichotomizingRelation)

(documentation TotalOrderingRelation EnglishLanguage  "A &%BinaryRelation is a
&%TotalOrderingRelation if it is a &%PartialOrderingRelation
and a &%TrichotomizingRelation.")

(=>
   (instance ?REL TotalOrderingRelation)
   (forall (?INST1 ?INST2)
      (and
         (or
            (?REL ?INST1 ?INST2)
            (?REL ?INST2 ?INST1))
         (or
            (not (?REL ?INST1 ?INST2))
            (not (?REL ?INST2 ?INST1))))))

(subclass EquivalenceRelation TransitiveRelation)
(subclass EquivalenceRelation SymmetricRelation)
(subclass EquivalenceRelation ReflexiveRelation)

(documentation EquivalenceRelation EnglishLanguage "A &%BinaryRelation is an equivalence
relation if it is a &%ReflexiveRelation, a &%SymmetricRelation, and a
&%TransitiveRelation.")

(subclass CaseRole BinaryPredicate)
(subclass CaseRole InheritableRelation)
(subclass CaseRole AsymmetricRelation)

(documentation CaseRole EnglishLanguage "The &%Class of &%Predicates relating the
spatially distinguished parts of a &%Process. &%CaseRoles include, for
example, the &%agent, &%patient or &%destination of an action, the flammable
substance in a burning process, or the water that falls in rain.")

(documentation involvedInEvent EnglishLanguage "(involvedInEvent ?EVENT ?THING) means
that in the &%Process ?EVENT, the &%Entity ?THING plays some &%CaseRole.")

(instance involvedInEvent BinaryPredicate)
(instance involvedInEvent AsymmetricRelation)
(domain involvedInEvent 1 Process)
(domain involvedInEvent 2 Entity)

; AP - this axiom below seems questionable, what about relations we just haven't
; "discovered" yet.
;(=>
;  (involvedInEvent ?E ?T)
;  (exists (?R)
;    (and
;      (instance ?R CaseRole)
;      (subrelation ?R involvedInEvent)
;      (?R ?E ?T))))

(=>
  (instance ?R CaseRole)
  (subrelation ?R involvedInEvent))

(instance agent CaseRole)
(instance agent PartialValuedRelation)
(domain agent 1 Process)
(domain agent 2 Agent)
(subrelation agent involvedInEvent)

(documentation agent EnglishLanguage "(&%agent ?PROCESS ?AGENT) means that ?AGENT is
an active determinant, either animate or inanimate, of the &%Process
?PROCESS, with or without voluntary intention.  For example, Eve is an
&%agent in the following proposition: Eve bit an apple.")

(instance destination CaseRole)
(instance destination PartialValuedRelation)
(domain destination 1 Process)
(domain destination 2 Entity)
(subrelation destination involvedInEvent)

(documentation destination EnglishLanguage "(destination ?PROCESS ?GOAL) means that
?GOAL is the target or goal of the Process ?PROCESS.  For example,
Danbury would be the destination in the following proposition:  Bob went
to Danbury.  Note that this is a very general &%CaseRole and, in
particular, that it covers the concepts of 'recipient' and 'beneficiary'.
Thus, John would be the &%destination in the following proposition:
Tom gave a book to John.")

(instance experiencer CaseRole)
(instance experiencer PartialValuedRelation)
(domain experiencer 1 Process)
(domain experiencer 2 Agent)
(subrelation experiencer involvedInEvent)

(documentation experiencer EnglishLanguage "(&%experiencer ?PROCESS ?AGENT) means
that ?AGENT experiences the &%Process ?PROCESS.  For example, Yojo
is the &%experiencer of seeing in the following proposition:  Yojo
sees the fish.  Note that &%experiencer, unlike &%agent, does
not entail a causal relation between its arguments.")

(subrelation instrument patient)
(instance instrument CaseRole)
(instance instrument PartialValuedRelation)
(domain instrument 1 Process)
(domain instrument 2 Object)

(documentation instrument EnglishLanguage "(instrument ?EVENT ?TOOL) means that ?TOOL
is used by an agent in bringing about ?EVENT and that ?TOOL is not
changed by ?EVENT.  For example, the key is an &%instrument in the
following proposition: The key opened the door.  Note that &%instrument
and &%resource cannot be satisfied by the same ordered pair.")

(instance origin CaseRole)
(instance origin PartialValuedRelation)
(domain origin 1 Process)
(domain origin 2 Object)
(subrelation origin involvedInEvent)

(documentation origin EnglishLanguage "(&%origin ?PROCESS ?SOURCE) means that ?SOURCE
indicates where the ?Process began.  Note that this relation implies
that ?SOURCE is present at the beginning of the process, but need not
participate throughout the process.  For example, the submarine is the
&%origin in the following proposition: the missile was launched from a
submarine.")

(instance patient CaseRole)
(instance patient PartialValuedRelation)
(domain patient 1 Process)
(domain patient 2 Entity)
(subrelation patient involvedInEvent)

(documentation patient EnglishLanguage "(&%patient ?PROCESS ?ENTITY) means that ?ENTITY
is a participant in ?PROCESS that may be moved, said, experienced, etc.
For example, the direct objects in the sentences 'The cat swallowed the
canary' and 'Billy likes the beer' would be examples of &%patients.  Note
that the &%patient of a &%Process may or may not undergo structural
change as a result of the &%Process.  The &%CaseRole of &%patient is used
when one wants to specify as broadly as possible the object of a
&%Process.")

(subrelation resource patient)
(instance resource CaseRole)
(instance resource PartialValuedRelation)
(domain resource 1 Process)
(domain resource 2 Object)
(disjointRelation resource result)
(disjointRelation resource instrument)
(disjointRelation result instrument)

(documentation resource EnglishLanguage "(&%resource ?PROCESS ?RESOURCE) means that
?RESOURCE is present at the beginning of ?PROCESS, is used by ?PROCESS,
and as a consequence is changed by ?PROCESS.  For example, soap is a
&%resource in the following proposition:  the gun was carved out of soap.
Note that &%resource differs from &%instrument, another subrelation of
&%patient, in that its internal or physical properties are altered in
some way by the &%Process.")

(documentation resourceExhausted EnglishLanguage "(&%resourceExhausted ?PROCESS ?RESOURCE)
means that ?RESOURCE is present at the beginning of ?PROCESS, is used by ?PROCESS, and as
a consequence is completely used up by the ?PROCESS. For example, fuel is a  &%resourceExhausted
in the following proposition: the plane run out of fuel and ditched in the sea.")

(domain resourceExhausted 1 Process)
(domain resourceExhausted 2 Object)
(instance resourceExhausted CaseRole)
(instance resourceExhausted AsymmetricRelation)
(instance resourceExhausted BinaryPredicate)
(instance resourceExhausted PartialValuedRelation)

(=>
    (and
        (resourceExhausted ?P ?R)
        (instance ?R ?C))
    (holdsDuring (ImmediateFutureFn (WhenFn ?P))
        (not
            (exists (?OBJ1)
                (and
                    (part ?OBJ1 ?R)
                    (instance ?OBJ1 ?C))))))

(subrelation result patient)
(instance result CaseRole)
(instance result PartialValuedRelation)
(domain result 1 Process)
(domain result 2 Entity)

(documentation result EnglishLanguage "(result ?ACTION ?OUTPUT) means that ?OUTPUT is
a product of ?ACTION.  For example, house is a &%result in the
following proposition: Eric built a house.")

(subclass InheritableRelation Relation)

(documentation InheritableRelation EnglishLanguage "The class of &%Relations whose
properties can be inherited downward in the class hierarchy via the
&%subrelation &%Predicate.")

(subclass ProbabilityRelation Relation)
(subclass ProbabilityRelation InheritableRelation)

(documentation ProbabilityRelation EnglishLanguage "The &%Class of &%Relations that
permit assessment of the probability of an event or situation.")

(instance ProbabilityFn ProbabilityRelation)
(instance ProbabilityFn TotalValuedRelation)
(instance ProbabilityFn UnaryFunction)
(domain ProbabilityFn 1 Formula)
(range ProbabilityFn RealNumber)

(documentation ProbabilityFn EnglishLanguage "One of the basic &%ProbabilityRelations,
&%ProbabilityFn is used to state the a priori probability of a state of
affairs.  (&%ProbabilityFn ?FORMULA) denotes the a priori probability
of ?FORMULA.")

(instance conditionalProbability ProbabilityRelation)
(instance conditionalProbability TernaryPredicate)
(domain conditionalProbability 1 Formula)
(domain conditionalProbability 2 Formula)
(domain conditionalProbability 3 RealNumber)

(documentation conditionalProbability EnglishLanguage "One of the basic &%ProbabilityRelations.
&%conditionalProbability is used to state the numeric value of a conditional
probability.  (&%conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER) means
that the probability of ?FORMULA2 being true given that ?FORMULA1 is true is
?NUMBER.")

(instance increasesLikelihood ProbabilityRelation)
(instance increasesLikelihood BinaryPredicate)
(instance increasesLikelihood IrreflexiveRelation)
(domain increasesLikelihood 1 Formula)
(domain increasesLikelihood 2 Formula)
(disjointRelation increasesLikelihood decreasesLikelihood)
(disjointRelation increasesLikelihood independentProbability)
(disjointRelation decreasesLikelihood independentProbability)

(documentation increasesLikelihood EnglishLanguage "One of the basic &%ProbabilityRelations.
(&%increasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is more
likely to be true if ?FORMULA1 is true.")

(=>
   (and
      (increasesLikelihood ?FORMULA1 ?FORMULA2)
      (equal (ProbabilityFn ?FORMULA2) ?NUMBER1)
      (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
   (greaterThan ?NUMBER2 ?NUMBER1))

(instance decreasesLikelihood ProbabilityRelation)
(instance decreasesLikelihood BinaryPredicate)
(instance decreasesLikelihood IrreflexiveRelation)
(domain decreasesLikelihood 1 Formula)
(domain decreasesLikelihood 2 Formula)

(documentation decreasesLikelihood EnglishLanguage "One of the basic &%ProbabilityRelations.
(&%decreasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is less
likely to be true if ?FORMULA1 is true.")

(=>
   (and
      (decreasesLikelihood ?FORMULA1 ?FORMULA2)
      (equal (ProbabilityFn ?FORMULA2) ?NUMBER1)
      (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
   (lessThan ?NUMBER2 ?NUMBER1))

(instance independentProbability ProbabilityRelation)
(instance independentProbability BinaryPredicate)
(instance independentProbability SymmetricRelation)
(domain independentProbability 1 Formula)
(domain independentProbability 2 Formula)

(documentation independentProbability EnglishLanguage "One of the basic &%ProbabilityRelations.
(&%independentProbability ?FORMULA1 ?FORMULA2) means that the probabilities of
?FORMULA1 and ?FORMULA2 being true are independent.")

(=>
   (and
      (independentProbability ?FORMULA1 ?FORMULA2)
      (equal (ProbabilityFn ?FORMULA2) ?NUMBER1)
      (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
   (equal ?NUMBER2 ?NUMBER1))

(=>
   (and
      (instance ?FORMULA1 Formula)
      (instance ?FORMULA2 Formula))
   (or
      (increasesLikelihood ?FORMULA1 ?FORMULA2)
      (decreasesLikelihood ?FORMULA1 ?FORMULA2)
      (independentProbability ?FORMULA1 ?FORMULA2)))

(subclass SpatialRelation Relation)
(subclass SpatialRelation InheritableRelation)

(documentation SpatialRelation EnglishLanguage "The &%Class of &%Relations that are
spatial in a wide sense.  This &%Class includes mereological relations
and topological relations.")

(subclass TemporalRelation Relation)
(subclass TemporalRelation InheritableRelation)

(documentation TemporalRelation EnglishLanguage "The &%Class of temporal &%Relations.
This &%Class includes notions of (temporal) topology of intervals,
(temporal) schemata, and (temporal) extension.")

(subclass IntentionalRelation InheritableRelation)
(subclass IntentionalRelation Relation)

(documentation IntentionalRelation EnglishLanguage "The &%Class of &%Relations between
an &%Agent and one or more &%Entities, where the &%Relation requires that
the &%Agent have awareness of the &%Entity.")

(=>
   (and
      (instance ?REL IntentionalRelation)
      (?REL ?AGENT @ROW)
      (inList ?OBJ (ListFn @ROW)))
   (inScopeOfInterest ?AGENT ?OBJ))

(instance prefers TernaryPredicate)
(instance prefers IntentionalRelation)
(domain prefers 1 CognitiveAgent)
(domain prefers 2 Formula)
(domain prefers 3 Formula)

(documentation prefers EnglishLanguage "(&%prefers ?AGENT ?FORMULA1 ?FORMULA2) means that
&%CognitiveAgent ?AGENT prefers the state of affairs expressed by ?FORMULA1
over the state of affairs expressed by ?FORMULA2 all things being equal.")

(subclass PropositionalAttitude IntentionalRelation)
(subclass PropositionalAttitude AsymmetricRelation)
(subclass PropositionalAttitude InheritableRelation)

(documentation PropositionalAttitude EnglishLanguage "The &%Class of
&%IntentionalRelations where the &%Agent has awareness of a
&%Proposition.")

(=>
   (and
      (instance ?REL PropositionalAttitude)
      (?REL ?AGENT ?FORMULA))
   (instance ?FORMULA Formula))

(subclass ObjectAttitude IntentionalRelation)
(subclass ObjectAttitude InheritableRelation)
(disjoint ObjectAttitude PropositionalAttitude)

(documentation ObjectAttitude EnglishLanguage "The &%Class of &%IntentionalRelations
where the &%Agent has awareness of an instance of &%Physical.")

(=>
   (and
      (instance ?REL ObjectAttitude)
      (?REL ?AGENT ?THING))
   (instance ?THING Physical))

(instance inScopeOfInterest BinaryPredicate)
(instance inScopeOfInterest IntentionalRelation)
(domain inScopeOfInterest 1 CognitiveAgent)
(domain inScopeOfInterest 2 Entity)

(documentation inScopeOfInterest EnglishLanguage "A very general &%Predicate.
(&%inScopeOfInterest ?AGENT ?ENTITY) means that ?ENTITY is within the
scope of interest of ?AGENT.  Note that the interest indicated can be
either positive or negative, i.e. the ?AGENT can have an interest in
avoiding or promoting ?ENTITY.")

(=>
  (and
    (instance ?PROCESS IntentionalProcess)
    (agent ?PROCESS ?AGENT)
    (instance ?AGENT CognitiveAgent)
    (patient ?PROCESS ?OBJECT))
  (inScopeOfInterest ?AGENT ?OBJECT))

(=>
  (inScopeOfInterest ?AGENT ?OBJECT)
  (exists (?PROCESS)
    (and
      (instance ?PROCESS IntentionalProcess)
      (agent ?PROCESS ?AGENT)
      (patient ?PROCESS ?OBJECT))))

(instance needs ObjectAttitude)
(instance needs BinaryPredicate)
(subrelation needs inScopeOfInterest)
(domain needs 1 CognitiveAgent)
(domain needs 2 Physical)

(documentation needs EnglishLanguage "(&%needs ?AGENT ?OBJECT) means that ?OBJECT is
physically required for the continued existence of ?AGENT.")

(=>
  (needs ?AGENT ?OBJECT)
  (wants ?AGENT ?OBJECT))

(instance wants ObjectAttitude)
(instance wants BinaryPredicate)
(subrelation wants inScopeOfInterest)
(relatedInternalConcept wants desires)
(domain wants 1 CognitiveAgent)
(domain wants 2 Physical)

(documentation wants EnglishLanguage "(&%wants ?AGENT ?OBJECT) means that ?OBJECT is desired by ?AGENT,
i.e. ?AGENT believes that ?OBJECT will satisfy one of its goals.  Note that there is
no implication that what is wanted by an agent is not already possessed by the agent.")

(=>
  (wants ?AGENT ?OBJ)
  (exists (?PURP)
    (hasPurposeForAgent ?OBJ ?PURP ?AGENT)))

(=>
  (and
    (wants ?AGENT ?OBJ)
    (instance ?OBJ Object))
  (desires ?AGENT
    (possesses ?AGENT ?OBJ)))

(instance desires PropositionalAttitude)
(instance desires BinaryPredicate)
(subrelation desires inScopeOfInterest)
(relatedInternalConcept desires wants)
(domain desires 1 CognitiveAgent)
(domain desires 2 Formula)

(documentation desires EnglishLanguage "(&%desires ?AGENT ?FORMULA) means that ?AGENT wants
to bring about the state of affairs expressed by ?FORMULA.  Note that there
is no implication that what is desired by the agent is not already true.
Note too that &%desires is distinguished from &%wants only in that the former
is a &%PropositionalAttitude, while &%wants is an &%ObjectAttitude.")

(instance considers PropositionalAttitude)
(instance considers BinaryPredicate)
(subrelation considers inScopeOfInterest)
(domain considers 1 CognitiveAgent)
(domain considers 2 Formula)

(documentation considers EnglishLanguage "(&%considers ?AGENT ?FORMULA) means that ?AGENT
considers or wonders about the truth of the proposition expressed by
?FORMULA.")

(instance believes PropositionalAttitude)
(instance believes BinaryPredicate)
(subrelation believes inScopeOfInterest)
(domain believes 1 CognitiveAgent)
(domain believes 2 Formula)

(documentation believes EnglishLanguage "The epistemic predicate of belief.
(&%believes ?AGENT ?FORMULA) means that ?AGENT believes the proposition
expressed by ?FORMULA.")

(=>
   (believes ?AGENT ?FORMULA)
   (exists (?TIME)
      (holdsDuring ?TIME (considers ?AGENT ?FORMULA))))

(instance knows PropositionalAttitude)
(instance knows BinaryPredicate)
(subrelation knows inScopeOfInterest)
(domain knows 1 CognitiveAgent)
(domain knows 2 Formula)

(documentation knows EnglishLanguage "The epistemic predicate of knowing.  (&%knows
?AGENT ?FORMULA) means that ?AGENT knows the proposition expressed by
?FORMULA.  Note that &%knows entails conscious awareness, so this
&%Predicate cannot be used to express tacit or subconscious or
unconscious knowledge.")

(=>
  (knows ?AGENT ?FORMULA)
  (believes ?AGENT ?FORMULA))

(=>
  (knows ?AGENT ?FORMULA)
  (truth ?FORMULA True))

(subclass TernaryRelation Relation)
(subclass TernaryRelation InheritableRelation)

(documentation TernaryRelation EnglishLanguage "&%TernaryRelations relate three items.
The two &%subclasses of &%TernaryRelation are &%TernaryPredicate and
&%BinaryFunction.")

(subclass QuaternaryRelation Relation)
(subclass QuaternaryRelation InheritableRelation)

(documentation QuaternaryRelation EnglishLanguage "&%QuaternaryRelations relate four
items.  The two &%subclasses of &%QuaternaryRelation are
&%QuaternaryPredicate and &%TernaryFunction.")

(subclass QuintaryRelation Relation)
(subclass QuintaryRelation InheritableRelation)

(documentation QuintaryRelation EnglishLanguage "&%QuintaryRelations relate five items.
The two &%subclasses of &%QuintaryRelation are &%QuintaryPredicate and
&%QuaternaryFunction.")

(subclass List Abstract)

(documentation List EnglishLanguage "Every &%List is a particular ordered n-tuple of
items.  Generally speaking, &%Lists are created by means of the &%ListFn
&%Function, which takes any number of items as arguments and returns a
&%List with the items in the same order.  Anything, including other
&%Lists, may be an item in a &%List.  Note too that &%Lists are
extensional - two lists that have the same items in the same order are
identical.  Note too that a &%List may contain no items.  In that case,
the &%List is the &%NullList.")

;(=>
;  (and
;    (instance ?LIST List)
;    (not
;      (instance ?LIST NullList)))
;  (exists (?NUMBER1 ?ITEM1)
;    (and
;      (not
;        (equal (ListOrderFn ?LIST ?NUMBER1) ?ITEM1))
;      (forall (?NUMBER2)
;        (=>
;          (and
;            (instance ?NUMBER2 PositiveInteger)
;            (lessThan ?NUMBER2 ?NUMBER1))
;          (exists (?ITEM2)
;            (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM2)))))))

(subclass UniqueList List)

(documentation UniqueList EnglishLanguage "A &%List in which no item appears more than
once,i.e. a &%List for which there are no distinct numbers ?NUMBER1 and ?NUMBER2
such that (&%ListOrderFn ?LIST ?NUMBER1) and (&%ListOrderFn ?LIST ?NUMBER2)
return the same value.")

(=>
   (instance ?LIST UniqueList)
   (forall (?NUMBER1 ?NUMBER2)
      (=>
         (equal (ListOrderFn ?LIST ?NUMBER1) (ListOrderFn ?LIST ?NUMBER2))
         (equal ?NUMBER1 ?NUMBER2))))

(instance NullList List)

(documentation NullList EnglishLanguage "The &%List that has no items.  The uniqueness of
&%NullList follows from the extensionality of &%Lists, i.e. the fact that
two &%Lists with the same items in the same order are identical.")

;(<=>
;   (equal ?LIST NullList)
;   (and
;      (instance ?LIST List)
;      (not
;         (exists (?ITEM)
;            (inList ?ITEM ?LIST)))))

(instance ListFn Function)
(instance ListFn VariableArityRelation)
(domain ListFn 1 Entity)
;; (instance ListFn TotalValuedRelation) - appears to be a contradiction with VariableArityRelation
(range ListFn List)

(documentation ListFn EnglishLanguage "A &%Function that takes any number of arguments and
returns the &%List containing those arguments in exactly the same order.")

(=>
   (exhaustiveDecomposition ?CLASS @ROW)
   (forall (?OBJ)
      (=>
         (instance ?OBJ ?CLASS)
         (exists (?ITEM)
            (and
               (inList ?ITEM (ListFn @ROW))
               (instance ?OBJ ?ITEM))))))

(=>
   (disjointDecomposition ?CLASS @ROW)
   (forall (?ITEM)
      (=>
         (inList ?ITEM (ListFn @ROW))
         (subclass ?ITEM ?CLASS))))

(=>
   (disjointDecomposition ?CLASS @ROW)
   (forall (?ITEM1 ?ITEM2)
      (=>
         (and
            (inList ?ITEM1 (ListFn @ROW))
            (inList ?ITEM2 (ListFn @ROW))
            (not
               (equal ?ITEM1 ?ITEM2)))
         (disjoint ?ITEM1 ?ITEM2))))

(=>
  (disjointDecomposition ?CLASS ?ROW1 ?ROW2 ?ROW3)
  (and
    (disjoint ?ROW1 ?ROW2)
    (disjoint ?ROW2 ?ROW3)
    (disjoint ?ROW3 ?ROW1)))

(instance ListOrderFn BinaryFunction)
(instance ListOrderFn PartialValuedRelation)
(domain ListOrderFn 1 List)
(domain ListOrderFn 2 PositiveInteger)
(range ListOrderFn Entity)

(documentation ListOrderFn EnglishLanguage "(&%ListOrderFn ?LIST ?NUMBER) denotes the item
that is in the ?NUMBER position in the &%List ?LIST.  For example,
(&%ListOrderFn (&%ListFn &%Monday &%Tuesday &%Wednesday) 2) would return the
value &%Tuesday.")

;(=>
;   (and
;      (instance ?LIST1 List)
;      (not
;        (equal ?LIST1 NullList))
;      (not
;        (equal ?LIST2 NullList))
;      (instance ?LIST2 List)
;      (forall (?NUMBER)
;         (equal (ListOrderFn ?LIST1 ?NUMBER) (ListOrderFn ?LIST2 ?NUMBER))))
;   (equal ?LIST1 ?LIST2))

(=>
   (and
      (domain ?REL ?NUMBER ?CLASS)
      (instance ?REL Predicate)
      (?REL @ROW))
   (instance (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS))

(=>
   (and
      (domainSubclass ?REL ?NUMBER ?CLASS)
      (instance ?REL Predicate)
      (?REL @ROW))
   (subclass (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS))

(instance ListLengthFn UnaryFunction)
(instance ListLengthFn TotalValuedRelation)
(domain ListLengthFn 1 List)
(range ListLengthFn NonnegativeInteger)

(documentation ListLengthFn EnglishLanguage "A &%Function that takes a &%List as its sole
argument and returns the number of items in the &%List.  For example,
(&%ListLengthFn (&%ListFn &%Monday &%Tuesday &%Wednesday)) would return the
value 3.")

;(=>
;   (and
;      (equal (ListLengthFn ?LIST) ?NUMBER1)
;      (instance ?LIST List)
;      (not
;        (equal ?LIST NullList))
 ;     (instance ?NUMBER1 PositiveInteger))
;   (forall (?NUMBER2)
;      (<=>
;         (exists (?ITEM)
;            (and
;               (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM)
;               (inList ?ITEM ?LIST)))
;         (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))))

(forall (@ROW ?ITEM)
  (equal
    (ListLengthFn (ListFn @ROW ?ITEM))
    (SuccessorFn (ListLengthFn (ListFn @ROW)))))

(forall (@ROW ?ITEM)
  (equal
    (ListOrderFn
      (ListFn @ROW ?ITEM)
      (ListLengthFn (ListFn @ROW ?ITEM))) ?ITEM))

(=>
   (and
     (valence ?REL ?NUMBER)
     (instance ?REL Predicate))
   (forall (@ROW)
      (=>
         (?REL @ROW)
         (equal (ListLengthFn (ListFn @ROW)) ?NUMBER))))

;(=>
;   (and
;      (equal (ListLengthFn ?LIST1) ?NUMBER)
;      (instance ?LIST List)
;      (not
;        (equal ?LIST NullList))
;      (instance ?NUMBER1 PositiveInteger))
;   (exists (?LIST2 ?ITEM)
;      (and
;         (initialList ?LIST1 ?LIST2)
;         (equal (SuccessorFn ?NUMBER) (ListLengthFn ?LIST2))
;         (equal (ListOrderFn ?LIST2 (SuccessorFn ?NUMBER)) ?ITEM))))

(instance ListConcatenateFn BinaryFunction)
(instance ListConcatenateFn TotalValuedRelation)
(domain ListConcatenateFn 1 List)
(domain ListConcatenateFn 2 List)
(range ListConcatenateFn List)

(documentation ListConcatenateFn EnglishLanguage "A &%Function that returns the
concatenation of the two &%Lists that are given as arguments.  For example, the value of
(&%ListConcatenateFn (&%ListFn &%Monday &%Tuesday) (&%ListFn &%Wednesday
&%Thursday)) would be (&%ListFn &%Monday &%Tuesday &%Wednesday &%Thursday).")

; previously removed to solve an obscure contradiction, but needs to be reexamined

(=>
  (and
    (equal ?LIST3 (ListConcatenateFn ?LIST1 ?LIST2))
    (not
      (equal ?LIST1 NullList))
    (not
      (equal ?LIST2 NullList))
    (lessThanOrEqualTo ?NUMBER1 (ListLengthFn ?LIST1))
    (lessThanOrEqualTo ?NUMBER2 (ListLengthFn ?LIST2))
    (instance ?NUMBER1 PositiveInteger)
    (instance ?NUMBER2 PositiveInteger))
  (and
    (equal
      (ListOrderFn ?LIST3 ?NUMBER1)
      (ListOrderFn ?LIST1 ?NUMBER1))
    (equal
      (ListOrderFn ?LIST3
        (AdditionFn
          (ListLengthFn ?LIST1) ?NUMBER2))
      (ListOrderFn ?LIST2 ?NUMBER2))))

(instance inList BinaryPredicate)
(instance inList PartialValuedRelation)
(domain inList 1 Entity)
(domain inList 2 List)

(documentation inList EnglishLanguage "The analog of &%element and &%instance for &%Lists.
(&%inList ?OBJ ?LIST) means that ?OBJ is in the &%List ?LIST.  For example,
(&%inList &%Tuesday (&%ListFn &%Monday &%Tuesday &%Wednesday)) would be true.")

(=>
   (inList ?ITEM ?LIST)
   (exists (?NUMBER)
      (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM)))

(instance subList BinaryPredicate)
(instance subList PartialOrderingRelation)
(domain subList 1 List)
(domain subList 2 List)

(documentation subList EnglishLanguage "(&%subList ?LIST1 ?LIST2) means that ?LIST1 is a
sublist of ?LIST2, i.e. every element of ?LIST1 is an element of ?LIST2 and
the elements that are common to both &%Lists have the same order in both
&%Lists.  Elements that are common to both Lists and are consecutive in one
list must also be consecutive in the other list. (Therefore - the list of
prime numbers smaller than 10 [1 2 3 5 7] is not a subList of the
natural numbers smaller than 10 [1 2 3 4 5 6 7 8 9]).")

;(=>
;   (and
;     (subList ?LIST1 ?LIST2)
;     (not
;       (equal ?LIST1 NullList))
;     (not
;       (equal ?LIST2 NullList)))
;   (forall (?ITEM)
;      (=>
;         (inList ?ITEM ?LIST1)
;         (inList ?ITEM ?LIST2))))

;(=>
;   (and
;     (subList ?LIST1 ?LIST2)
;     (not
;       (equal ?LIST1 NullList))
;     (not
;       (equal ?LIST2 NullList)))
;   (exists (?NUMBER3)
;      (forall (?ITEM)
;         (=>
;            (inList ?ITEM ?LIST1)
;            (exists (?NUMBER1 ?NUMBER2)
;               (and
;                  (equal (ListOrderFn ?LIST1 ?NUMBER1) ?ITEM)
;                  (equal (ListOrderFn ?LIST2 ?NUMBER2) ?ITEM)
;                  (equal ?NUMBER2 (AdditionFn ?NUMBER1 ?NUMBER3))))))))

(instance SubListFn TernaryFunction)
(domain SubListFn 1 Integer)
(domain SubListFn 2 Integer)
(domain SubListFn 3 List)
(range SubListFn List)
(documentation SubListFn EnglishLanguage "A &%Function that returns a portion of the &%List that
runs from the first index to the second index - 1.  Note that lists subscripts begin at 1.")
(termFormat EnglishLanguage SubListFn "sub-list function")
(format EnglishLanguage SubListFn "the sub-list from %1 to %2 of %3")

(=>
  (and
    (equal ?R
      (SubListFn ?S ?E ?L))
    (equal
      (SubtractionFn ?E ?S)
      0))
  (equal ?R NullList))

(=>
  (and
    (equal ?R
      (SubListFn ?S ?E ?L))
    (equal
      (SubtractionFn ?E ?S)
      1))
  (equal ?R
    (ListFn
      (ListOrderFn ?L ?S))))

(=>
  (and
    (equal ?R
      (SubListFn ?S ?E ?L))
    (greaterThan
      (SubtractionFn ?E ?S)
      1))
  (equal ?R
    (ListConcatenateFn
      (ListFn
        (ListOrderFn ?L ?S))
      (SubListFn
        (AdditionFn 1 ?S) ?E ?L))))


(instance LastFn UnaryFunction)
(domain LastFn 1 List)
(range LastFn Entity)
(documentation LastFn EnglishLanguage "(&%LastFn ?LIST) returns the last item in the 
&%List ?LIST.  For example, (&%LastFn (&%ListFn &%Monday &%Tuesday 
&%Wednesday)) would return the value of &%Wednesday.")

(=>
  (equal (LastFn ?LIST) ?ITEM)
  (exists (?NUMBER)
    (and
      (equal (ListLengthFn ?LIST) ?NUMBER)
      (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM))))

(=>
  (and
    (equal (ListLengthFn ?LIST) ?NUMBER)
    (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM))
  (equal (LastFn ?LIST) ?ITEM))

(instance FirstFn UnaryFunction)
(domain FirstFn 1 List)
(range FirstFn Entity)
(documentation FirstFn EnglishLanguage "(&%FirstFn ?LIST) returns the first item in 
the &%List ?LIST.  For example, (&%FirstFn (&%ListFn &%Monday &%Tuesday 
&%Wednesday)) would return the value of &%Monday.")

(=>
   (and
     (instance ?LIST List)
     (not
       (equal ?LIST NullList)))
   (equal (FirstFn ?LIST) (ListOrderFn ?LIST 1)))


(instance ListSumFn UnaryFunction)
(domain ListSumFn 1 List)
(range ListSumFn RealNumber)
(documentation ListSumFn EnglishLanguage "The sum of all the numbers in a &%List.")
(format EnglishLanguage ListSumFn "the &%sum of %1")
(termFormat EnglishLanguage ListSumFn "the &%sum of elements in %1")

;(=>
;  (and
;    (equal ?SUM (ListSumFn ?L))
;    (equal ?N (ListOrderFn ?L ?S)))
;  (instance ?N RationalNumber))

(=>
  (and
    (equal ?A (ListSumFn ?L))
    (equal 1 (ListLengthFn ?L)))
  (equal ?A (ListOrderFn ?L 1)))

(=>
  (and
    (equal ?A (ListSumFn ?L))
    (greaterThan (ListLengthFn ?L) 1))
  (equal ?A
    (AdditionFn
      (FirstFn ?L)
      (ListSumFn
        (SubListFn 2
          (ListLengthFn ?L)
          ?L)))))

(instance AverageFn UnaryFunction)
(domain AverageFn 1 List)
(range AverageFn RealNumber)
(documentation AverageFn EnglishLanguage "The average of the &%Numbers in a &%List")
(termFormat EnglishLanguage AverageFn "average function")
(format EnglishLanguage AverageFn "the &%average of the numbers in %1")

(=>
  (and
    (equal ?A (AverageFn ?L))
    (greaterThan (ListLengthFn ?L) 0))
  (equal ?A
    (DivisionFn
      (ListSumFn ?L)
      (ListLengthFn ?L))))

(=>
  (and
    (equal ?A (AverageFn ?L))
    (inList ?N ?L))
  (instance ?N Number))
    
(instance initialList BinaryPredicate)
(instance initialList PartialOrderingRelation)
(subrelation initialList subList)

(documentation initialList EnglishLanguage "(&%initialList ?LIST1 ?LIST2) means
that ?LIST1 is a &%subList of ?LIST2 and (&%ListOrderFn ?LIST1 ?NUMBER) returns
the same value as (&%ListOrderFn ?LIST2 ?NUMBER) for all of the values of
?NUMBER over which (&%ListOrderFn ?LIST1 ?NUMBER) is defined.")

;(=>
;   (and
;     (initialList ?LIST1 ?LIST2)
;     (not
;       (equal ?LIST1 NullList))
;     (not
;       (equal ?LIST2 NullList)))
;   (forall (?NUMBER1 ?NUMBER2)
;      (=>
;         (and
;            (equal (ListLengthFn ?LIST1) ?NUMBER1)
;            (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))
;         (equal (ListOrderFn ?LIST1 ?NUMBER2) (ListOrderFn ?LIST2 ?NUMBER2)))))

(forall (@ROW ?ITEM)
  (initialList (ListFn @ROW) (ListFn @ROW ?ITEM)))

(instance identicalListItems BinaryPredicate)
(instance identicalListItems EquivalenceRelation)
(domain identicalListItems 1 List)
(domain identicalListItems 2 List)

(documentation identicalListItems EnglishLanguage "(&%identicalListItems ?LIST1 ?LIST2)
means that ?LIST1 and ?LIST2 have exactly the same items in their
respective lists.  Although ?LIST1 and ?LIST2 are required to share
exactly the same items, they may order these items differently.")

;(=>
;   (and
;     (identicalListItems ?LIST1 ?LIST2)
;     (not
;       (equal ?LIST1 NullList))
;     (not
;       (equal ?LIST2 NullList)))
;   (<=>
;      (inList ?ITEM ?LIST1)
;      (inList ?ITEM ?LIST2)))

(subclass Predicate Relation)
(subclass Predicate InheritableRelation)

(documentation Predicate EnglishLanguage "A &%Predicate is a sentence-forming &%Relation.
Each tuple in the &%Relation is a finite, ordered sequence of objects.
The fact that a particular tuple is an element of a &%Predicate is denoted
by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the
objects so related.  In the case of &%BinaryPredicates, the fact can
be read as `arg_1 is *predicate* arg_2' or `a *predicate* of
arg_1 is arg_2'.")

(subclass Function SingleValuedRelation)
(subclass Function InheritableRelation)

(documentation Function EnglishLanguage "A &%Function is a term-forming &%Relation that
maps from a n-tuple of arguments to a range and that associates this
n-tuple with at most one range element.  Note that the range is a &%Class,
and each element of the range is an instance of the &%Class.")

(subclass UnaryFunction Function)
(subclass UnaryFunction BinaryRelation)
(subclass UnaryFunction InheritableRelation)

(documentation UnaryFunction EnglishLanguage "The &%Class of &%Functions that require a
single argument.")

(=>
   (instance ?FUNCTION UnaryFunction)
   (valence ?FUNCTION 1))

(subclass OneToOneFunction UnaryFunction)

(documentation OneToOneFunction EnglishLanguage "The &%Class of &%UnaryFunctions which
are one to one.  A function F is one to one just in case for all X, Y in the
domain of F, if X is not identical to Y, then F(X) is not identical to F(Y).")

(=>
   (instance ?FUN OneToOneFunction)
   (forall (?ARG1 ?ARG2)
      (=>
         (and
            (domain ?FUN 1 ?CLASS)
            (instance ?ARG1 ?CLASS)
            (instance ?ARG2 ?CLASS)
            (not (equal ?ARG1 ?ARG2)))
         (not (equal (AssignmentFn ?FUN ?ARG1) (AssignmentFn ?FUN ?ARG2))))))

(subclass SequenceFunction OneToOneFunction)

(documentation SequenceFunction EnglishLanguage "The &%Class of &%OneToOneFunctions whose
rangeis a subclass of the &%PositiveIntegers.")

(=>
   (and
      (instance ?SEQ SequenceFunction)
      (range ?SEQ ?CLASS))
   (subclass ?CLASS Integer))

(subclass BinaryFunction Function)
(subclass BinaryFunction TernaryRelation)
(subclass BinaryFunction InheritableRelation)

(documentation BinaryFunction EnglishLanguage "The &%Class of &%Functions that require
two arguments.")

(=>
  (instance ?FUNCTION BinaryFunction)
  (valence ?FUNCTION 2))

(subclass AssociativeFunction BinaryFunction)

(documentation AssociativeFunction EnglishLanguage "A &%BinaryFunction is associative if
bracketing has no effect on the value returned by the &%Function.  More
precisely, a &%Function ?FUNCTION is associative just in case
(?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3)) is equal to
(?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3), for all ?INST1, ?INST2,
and ?INST3.")

(=>
   (instance ?FUNCTION AssociativeFunction)
   (forall (?INST1 ?INST2 ?INST3)
      (=>
         (and
            (domain ?FUNCTION 1 ?CLASS)
            (instance ?INST1 ?CLASS)
            (instance ?INST2 ?CLASS)
            (instance ?INST3 ?CLASS))
         (equal (AssignmentFn ?FUNCTION ?INST1 (AssignmentFn ?FUNCTION ?INST2 ?INST3))
             (AssignmentFn ?FUNCTION (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?INST3)))))

(subclass CommutativeFunction BinaryFunction)

(documentation CommutativeFunction EnglishLanguage "A &%BinaryFunction is commutative if
the ordering of the arguments of the function has no effect on the value
returned by the function.  More precisely, a function ?FUNCTION is
commutative just in case (?FUNCTION ?INST1 ?INST2) is equal to (?FUNCTION
?INST2 ?INST1), for all ?INST1 and ?INST2.")

(=>
  (instance ?FUNCTION CommutativeFunction)
  (forall (?INST1 ?INST2 ?CLASS)
    (=>
      (and
        (domain ?FUNCTION 1 ?CLASS)
        (instance ?INST1 ?CLASS)
        (instance ?INST2 ?CLASS))
      (equal
        (AssignmentFn ?FUNCTION ?INST1 ?INST2)
        (AssignmentFn ?FUNCTION ?INST2 ?INST1)))))

(subclass TernaryFunction Function)
(subclass TernaryFunction QuaternaryRelation)
(subclass TernaryFunction InheritableRelation)

(documentation TernaryFunction EnglishLanguage "The &%Class of &%Functions that require
exactly three arguments.")

(=>
  (instance ?FUNCTION TernaryFunction)
  (valence ?FUNCTION 3))

(subclass QuaternaryFunction Function)
(subclass QuaternaryFunction QuintaryRelation)
(subclass QuaternaryFunction InheritableRelation)

(documentation QuaternaryFunction EnglishLanguage "The &%Class of &%Functions that require
exactly four arguments.")

(=>
  (instance ?FUNCTION QuaternaryFunction)
  (valence ?FUNCTION 4))

(subclass ContinuousFunction Function)

(documentation ContinuousFunction EnglishLanguage "&%Functions which are continuous.
This concept is taken as primitive until representations for limits
are devised.")

(subclass BinaryPredicate Predicate)
(subclass BinaryPredicate BinaryRelation)
(subclass BinaryPredicate InheritableRelation)

(documentation BinaryPredicate EnglishLanguage "A &%Predicate relating two items - its
valence is two.")

(=>
  (instance ?REL BinaryPredicate)
  (valence ?REL 2))

(subclass TernaryPredicate Predicate)
(subclass TernaryPredicate TernaryRelation)
(subclass TernaryPredicate InheritableRelation)

(documentation TernaryPredicate EnglishLanguage "The &%Class of &%Predicates that require
exactly three arguments.")

(=>
  (instance ?REL TernaryPredicate)
  (valence ?REL 3))

(subclass QuaternaryPredicate Predicate)
(subclass QuaternaryPredicate QuaternaryRelation)
(subclass QuaternaryPredicate InheritableRelation)

(documentation QuaternaryPredicate EnglishLanguage "The &%Class of &%Predicates that
require four arguments.")

(=>
  (instance ?REL QuaternaryPredicate)
  (valence ?REL 4))

(subclass QuintaryPredicate Predicate)
(subclass QuintaryPredicate QuintaryRelation)
(subclass QuintaryPredicate InheritableRelation)

(documentation QuintaryPredicate EnglishLanguage "The &%Class of &%Predicates that
require five arguments.")

(=>
  (instance ?REL QuintaryPredicate)
  (valence ?REL 5))

(subclass VariableArityRelation Relation)

(documentation VariableArityRelation EnglishLanguage "The &%Class of &%Relations that
do not have a fixed number of arguments.")

(=>
  (instance ?REL VariableArityRelation)
  (not
    (exists (?INT)
    (valence ?REL ?INT))))

(subclass RelationExtendedToQuantities Relation)
(subclass RelationExtendedToQuantities InheritableRelation)

(documentation RelationExtendedToQuantities EnglishLanguage "A
&%RelationExtendedToQuantities is a &%Relation that, when it is true on
a sequence of arguments that are &%RealNumbers, it is also true on a
sequence of instances of &%ConstantQuantity with those magnitudes in some unit of
measure.  For example, the &%lessThan relation is extended to quantities.
This means that for all pairs of quantities ?QUANTITY1 and ?QUANTITY2,
(&%lessThan ?QUANTITY1 ?QUANTITY2) if and only if, for some ?NUMBER1,
?NUMBER2, and ?UNIT, ?QUANTITY1 = (&%MeasureFn ?NUMBER1 ?UNIT),
?QUANTITY2 = (&%MeasureFn ?NUMBER2 ?UNIT), and (&%lessThan ?NUMBER1 ?NUMBER2),
for all units ?UNIT on which ?QUANTITY1 and ?QUANTITY2 can be measured.
Note that, when a &%RelationExtendedToQuantities is extended from
&%RealNumbers to instances of &%ConstantQuantity, the &%ConstantQuantity must be
measured along the same physical dimension.")

(subclass LogicalOperator Predicate)

(documentation LogicalOperator EnglishLanguage "This &%Class comprises all
of the logical operators (viz. 'and', 'or', 'not', '=>', and '<=>').")

(subclass Proposition Abstract)
(documentation Proposition EnglishLanguage "&%Propositions are &%Abstract entities that
express a complete thought or a set of such thoughts.  As an example,
the formula '(instance Yojo Cat)' expresses the &%Proposition that the
entity named Yojo is an element of the &%Class of Cats.  Note that
propositions are not restricted to the content expressed by individual
sentences of a &%Language.  They may encompass the content expressed by
theories, books, and even whole libraries.  It is important to distinguish
&%Propositions from the &%ContentBearingObjects that express them.  A
&%Proposition is a piece of information, e.g. that the cat is on the mat,
but a &%ContentBearingObject is an &%Object that represents this information.
A &%Proposition is an abstraction that may have multiple representations:
strings, sounds, icons, etc.  For example, the &%Proposition that the cat is
on the mat is represented here as a string of graphical characters displayed
on a monitor and/or printed on paper, but it can be represented by a sequence
of sounds or by some non-latin alphabet or by some cryptographic form.")

(instance closedOn BinaryPredicate)
(instance closedOn AsymmetricRelation)
(domain closedOn 1 Function)
(domain closedOn 2 Class)

(documentation closedOn EnglishLanguage "A &%BinaryFunction is closed on a &%Class
if it is defined for all instances of the &%Class and its value is
always an instance of the &%Class.")

;(=>
;   (and
;      (closedOn ?FUNCTION ?CLASS)
;      (instance ?FUNCTION UnaryFunction))
;   (forall (?INST)
;      (=>
;         (instance ?INST ?CLASS)
;         (instance (AssignmentFn ?FUNCTION ?INST) ?CLASS))))

;(=>
;   (and
;      (closedOn ?FUNCTION ?CLASS)
;      (instance ?FUNCTION BinaryFunction))
;   (forall (?INST1 ?INST2)
;      (=>
;         (and
;            (instance ?INST1 ?CLASS)
;            (instance ?INST2 ?CLASS))
;         (instance (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?CLASS))))

(instance reflexiveOn BinaryPredicate)
(instance reflexiveOn AsymmetricRelation)
(domain reflexiveOn 1 BinaryRelation)
(domain reflexiveOn 2 Class)

(documentation reflexiveOn EnglishLanguage "A &%BinaryRelation is reflexive on a
&%Class only if every instance of the &%Class bears the relation
to itself.")

(=>
   (and
     (instance ?RELATION ReflexiveRelation)
     (reflexiveOn ?RELATION ?CLASS)
     (instance ?RELATION Predicate))
   (forall (?INST)
      (=>
         (instance ?INST ?CLASS)
         (?RELATION ?INST ?INST))))

; never used and axiom causes a TFF type violation
;(instance irreflexiveOn BinaryPredicate)
;(instance irreflexiveOn AsymmetricRelation)
;(domain irreflexiveOn 1 BinaryRelation)
;(domain irreflexiveOn 2 Class)

;(documentation irreflexiveOn EnglishLanguage "A &%BinaryRelation is irreflexive on a
;&%Class only if no instance of the &%Class bears the relation to
;itself.")

;(=>
;   (and
;     (irreflexiveOn ?RELATION ?CLASS)
;     (instance ?RELATION Predicate))
;   (forall (?INST)
;      (=>
;         (instance ?INST ?CLASS)
;         (not
;            (?RELATION ?INST ?INST)))))

(instance partialOrderingOn BinaryPredicate)
(instance partialOrderingOn AsymmetricRelation)
(domain partialOrderingOn 1 BinaryRelation)
(domain partialOrderingOn 2 Class)

(documentation partialOrderingOn EnglishLanguage "A &%BinaryRelation is a partial
ordering on a &%Class only if the relation is &%reflexiveOn the
&%Class, and it is both an &%AntisymmetricRelation, and a
&%TransitiveRelation.")

(=>
   (partialOrderingOn ?RELATION ?CLASS)
   (and
      (reflexiveOn ?RELATION ?CLASS)
      (instance ?RELATION TransitiveRelation)
      (instance ?RELATION AntisymmetricRelation)))

(instance totalOrderingOn BinaryPredicate)
(instance totalOrderingOn AsymmetricRelation)
(domain totalOrderingOn 1 BinaryRelation)
(domain totalOrderingOn 2 Class)

(documentation totalOrderingOn EnglishLanguage "A &%BinaryRelation ?REL is a total
ordering on a &%Class only if it is a partial ordering for which either
(?REL ?INST1 ?INST2) or (?REL ?INST2 ?INST1) for every ?INST1 and ?INST2
in the &%Class.")

(=>
  (totalOrderingOn ?RELATION ?CLASS)
  (and
    (partialOrderingOn ?RELATION ?CLASS)
    (trichotomizingOn ?RELATION ?CLASS)))

(=>
  (and
    (partialOrderingOn ?RELATION ?CLASS)
    (trichotomizingOn ?RELATION ?CLASS))
  (totalOrderingOn ?RELATION ?CLASS))

(instance trichotomizingOn BinaryPredicate)
(instance trichotomizingOn AsymmetricRelation)
(domain trichotomizingOn 1 BinaryRelation)
(domain trichotomizingOn 2 Class)

(documentation trichotomizingOn EnglishLanguage "A &%BinaryRelation ?REL is
trichotomizing on a &%Class only if, for all instances ?INST1 and ?INST2
of the &%Class, at least one of the following holds:  (?REL ?INST1 ?INST2),
(?REL ?INST2 ?INST1) or (equal ?INST1 ?INST2).")

(=>
   (and
     (trichotomizingOn ?RELATION ?CLASS)
     (instance ?RELATION RelationExtendedToQuantities))
   (forall (?INST1 ?INST2)
      (=>
         (and
            (instance ?INST1 ?CLASS)
            (instance ?INST2 ?CLASS))
         (or
            (?RELATION ?INST1 ?INST2)
            (?RELATION ?INST2 ?INST1)
            (equal ?INST1 ?INST2)))))

(instance equivalenceRelationOn BinaryPredicate)
(instance equivalenceRelationOn AsymmetricRelation)
(domain equivalenceRelationOn 1 BinaryRelation)
(domain equivalenceRelationOn 2 Class)

(documentation equivalenceRelationOn EnglishLanguage "A &%BinaryRelation is an
&%equivalenceRelationOn a &%Class only if the relation is &%reflexiveOn
the &%Class and it is both a &%TransitiveRelation and a
&%SymmetricRelation.")

(=>
   (equivalenceRelationOn ?RELATION ?CLASS)
   (and
      (instance ?RELATION TransitiveRelation)
      (instance ?RELATION SymmetricRelation)
      (reflexiveOn ?RELATION ?CLASS)))

(instance distributes BinaryPredicate)
(domain distributes 1 BinaryFunction)
(domain distributes 2 BinaryFunction)

(documentation distributes EnglishLanguage "A &%BinaryFunction ?FUNCTION1 is distributive
over another &%BinaryFunction ?FUNCTION2 just in case
(?FUNCTION1 ?INST1 (?FUNCTION2 ?INST2 ?INST3)) is equal to
(?FUNCTION2 (?FUNCTION1 ?INST1 ?INST2) (?FUNCTION1 ?INST1 ?INST3)),
for all ?INST1, ?INST2, and ?INST3.")

;(=>
;   (distributes ?FUNCTION1 ?FUNCTION2)
;   (forall (?INST1 ?INST2 ?INST3)
;      (=>
;         (and
;            (domain ?FUNCTION1 1 ?CLASS1)
;            (instance ?INST1 ?CLASS1)
;            (instance ?INST2 ?CLASS1)
;            (instance ?INST3 ?CLASS1)
;            (domain ?FUNCTION2 1 ?CLASS2)
;            (instance ?INST1 ?CLASS2)
;            (instance ?INST2 ?CLASS2)
;            (instance ?INST3 ?CLASS2))
;         (equal
;           (AssignmentFn ?FUNCTION1 ?INST1
;             (AssignmentFn ?FUNCTION2 ?INST2 ?INST3))
;           (AssignmentFn ?FUNCTION2
;             (AssignmentFn ?FUNCTION1 ?INST1 ?INST2)
;             (AssignmentFn ?FUNCTION1 ?INST1 ?INST3))))))

(documentation relatedEvent EnglishLanguage "(relatedEvent ?EVENT1 ?EVENT2) means
that the &%Process ?EVENT1 is related to the Process ?EVENT2.  The
relationship is between separate individual events, not events and
their subprocesses.  On the other hand, two &%subProcesses of the same
overarching event may be &%relatedEvents.  The argument order does not
imply temporal ordering.")

(instance relatedEvent BinaryPredicate)
(instance relatedEvent SymmetricRelation)
(domain relatedEvent 1 Process)
(domain relatedEvent 2 Process)
(=>
  (and
    (subProcess ?S1 ?P)
    (subProcess ?S2 ?P))
  (relatedEvent ?S1 ?S2))

(instance causes BinaryPredicate)
(instance causes AsymmetricRelation)
(domain causes 1 Process)
(domain causes 2 Process)
(relatedInternalConcept causes causesSubclass)
; (subrelation causes relatedEvent)

(documentation causes EnglishLanguage "The causation relation between instances of
&%Process.(&%causes ?PROCESS1 ?PROCESS2) means that the instance of &%Process ?PROCESS1
brings about the instance of &%Process ?PROCESS2.")

(=>
  (causes ?P1 ?P2)
  (relatedEvent ?P1 ?P2))

(=>
   (instance ?PROC1 Process)
   (exists (?PROC2)
      (causes ?PROC2 ?PROC1)))
(=>
  (causes ?P1 ?P2)
  (earlier (WhenFn ?P1) (WhenFn ?P2)))

(instance causesSubclass BinaryPredicate)
(instance causesSubclass AsymmetricRelation)
(domainSubclass causesSubclass 1 Process)
(domainSubclass causesSubclass 2 Process)

(documentation causesSubclass EnglishLanguage "The causation relation
between subclasses of &%Process.
(&%causesSubclass ?PROCESS1 ?PROCESS2) means that the subclass of &%Process ?PROCESS1
brings about the subclass of &%Process ?PROCESS2, e.g. (&%causesSubclass &%Killing
&%Death).")

(=>
   (causesSubclass ?PROC1 ?PROC2)
   (forall (?INST2)
      (=>
         (instance ?INST2 ?PROC2)
         (exists (?INST1)
           (and
             (instance ?INST1 ?PROC1)
             (causes ?INST1 ?INST2))))))

(instance causesProposition BinaryPredicate)
(instance causesProposition AsymmetricRelation)
(domain causesProposition 1 Formula)
(domain causesProposition 2 Formula)

(documentation causesProposition EnglishLanguage "(&%causesProposition ?FORMULA1
?FORMULA2) means that the state of affairs described by ?FORMULA1
causes, or mechanistically brings about, the state of affairs
described by ?FORMULA2.  Note that unlike &%entails, the time
during which ?FORMULA2 holds cannot precede the time during which
?FORMULA1 holds, although ?FORMULA1 and ?FORMULA2 can hold
simultaneously.  Note, also, that &%causesProposition is a
predicate, not a truth function.  The following rule
(contraposition) does not hold: (=> (causesProp ?FORMULA1
?FORMULA2) (causesProp (not ?FORMULA2) (not ?FORMULA1))).")

(=>
  (and
    (holdsDuring ?T2 ?SIT2)
    (holdsDuring ?T1 ?SIT1)
    (instance ?T1 TimeInterval)
    (instance ?T2 TimeInterval)
    (causesProposition ?SIT1 ?SIT2))
  (beforeOrEqual (BeginFn ?T1) (BeginFn ?T2)))

(instance copy BinaryPredicate)
(instance copy EquivalenceRelation)
(domain copy 1 Object)
(domain copy 2 Object)

(documentation copy EnglishLanguage "relates an &%Object to an exact copy of the
&%Object, where an exact copy is indistinguishable from the original
with regard to every property except (possibly) spatial and/or temporal
location.")

(=>
   (copy ?OBJ1 ?OBJ2)
   (forall (?ATTR)
      (=>
         (attribute ?OBJ1 ?ATTR)
         (attribute ?OBJ2 ?ATTR))))

(instance time BinaryPredicate)
(instance time TemporalRelation)
(instance time AsymmetricRelation)
(instance time TotalValuedRelation)
(domain time 1 Physical)
(domain time 2 TimePosition)
(relatedInternalConcept time located)
(relatedInternalConcept time holdsDuring)

(documentation time EnglishLanguage "This relation holds between an instance of
&%Physical and an instance of &%TimePosition just in case the temporal
lifespan of the former includes the latter.  In other words, (&%time
?THING ?TIME) means that ?THING existed or occurred at ?TIME.  Note
that &%time does for instances of &%time what &%holdsDuring does
for instances of &%Formula. The constants &%located and &%time are
the basic spatial and temporal predicates, respectively.")

(instance holdsDuring BinaryPredicate)
(instance holdsDuring AsymmetricRelation)
(domain holdsDuring 1 TimePosition)
(domain holdsDuring 2 Formula)

(documentation holdsDuring EnglishLanguage "(&%holdsDuring ?TIME ?FORMULA) means that the
proposition denoted by ?FORMULA is true in the time frame ?TIME.  Note
that this implies that ?FORMULA is true at every &%TimePoint which is a
&%temporalPart of ?TIME.")

(=>
  (and
    (holdsDuring ?TIME ?SITUATION1)
    (entails ?SITUATION1 ?SITUATION2))
  (holdsDuring ?TIME ?SITUATION2))

(=>
  (holdsDuring ?TIME
    (not ?SITUATION))
  (not
    (holdsDuring ?TIME ?SITUATION)))

(instance capability TernaryPredicate)
(domainSubclass capability 1 Process)
(domain capability 2 CaseRole)
(domain capability 3 Object)

(documentation capability EnglishLanguage "(&%capability ?PROCESS ?ROLE ?OBJ) means
that ?OBJ has the ability to play the role of ?ROLE in &%Processes of
type ?PROCESS.")

(=>
   (and
      (instance ?ROLE CaseRole)
      (?ROLE ?ARG1 ?ARG2)
      (instance ?ARG1 ?PROC)
      (subclass ?PROC Process))
   (capability ?PROC ?ROLE ?ARG2))

(=>
  (capability ?PROCESS ?ROLE ?OBJ)
  (modalAttribute
    (exists (?P)
      (and
        (instance ?P ?PROCESS)
        (?ROLE ?P ?OBJ))) Possibility))

(instance exploits BinaryPredicate)
(instance exploits AsymmetricRelation)
(domain exploits 1 Object)
(domain exploits 2 Agent)

(documentation exploits EnglishLanguage "(&%exploits ?OBJ ?AGENT) means that ?OBJ is used
by ?AGENT as a &%resource in an unspecified instance of &%Process.  This
&%Predicate, as its corresponding axiom indicates, is a composition of the
relations &%agent and &%resource.")

(=>
     (exploits ?OBJ ?AGENT)
     (exists (?PROCESS)
          (and
               (agent ?PROCESS ?AGENT)
               (resource ?PROCESS ?OBJ))))

(instance hasPurpose BinaryPredicate)
(instance hasPurpose AsymmetricRelation)
(domain hasPurpose 1 Physical)
(domain hasPurpose 2 Formula)

(documentation hasPurpose EnglishLanguage "This &%Predicate expresses the concept of a
conventional goal, i.e. a goal with a neutralized agent's intention.
Accordingly, (&%hasPurpose ?THING ?FORMULA) means that the instance of
&%Physical ?THING has, as its purpose, the &%Proposition expressed by
?FORMULA.  Note that there is an important difference in meaning between
the &%Predicates &%hasPurpose and &%result.  Although the second argument
of the latter can satisfy the second argument of the former,
a conventional goal is an expected and desired outcome, while a result
may be neither expected nor desired.  For example, a machine process may
have outcomes but no goals, aimless wandering may have an outcome but no
goal, a learning process may have goals with no outcomes, and so on.")

(instance hasPurposeForAgent TernaryPredicate)
(domain hasPurposeForAgent 1 Physical)
(domain hasPurposeForAgent 2 Formula)
(domain hasPurposeForAgent 3 Agent)

(documentation hasPurposeForAgent EnglishLanguage "Expresses a cognitive attitude of an
agent with respect to a particular instance of Physical.  More precisely,
(&%hasPurposeForAgent ?THING ?FORMULA ?AGENT) means that the purpose of
?THING for ?AGENT is the proposition expressed by ?FORMULA.  Very complex
issues are involved here.  In particular, the rules of inference of the
first order predicate calculus are not truth-preserving for the second
argument position of this &%Predicate.")

(=>
   (hasPurpose ?THING ?PURPOSE)
   (exists (?AGENT)
      (hasPurposeForAgent ?THING ?PURPOSE ?AGENT)))

(instance hasSkill BinaryPredicate)
(instance hasSkill AsymmetricRelation)
(domainSubclass hasSkill 1 Process)
(domain hasSkill 2 Agent)

(documentation hasSkill EnglishLanguage "Similar to the &%capability &%Predicate
with the additional restriction that the ability be practised/
demonstrated to some measurable degree.")

(=>
  (hasSkill ?PROC ?AGENT)
  (capability ?PROC agent ?AGENT))

(instance confersNorm TernaryPredicate)
(domain confersNorm 1 Entity)
(domain confersNorm 2 Formula)
(domain confersNorm 3 ObjectiveNorm)

(documentation confersNorm EnglishLanguage "Expresses the relationship between a
&%Formula,an &%Entity, and an &%ObjectiveNorm when the &%Entity brings it about that
the &%Formula has the &%ObjectiveNorm.")

(=>
  (holdsDuring ?TIME 
    (confersNorm ?ENTITY ?FORMULA ?NORM))
  (and
     (holdsDuring 
       (ImmediatePastFn ?TIME) 
         (not 
           (modalAttribute ?FORMULA ?NORM)))
     (holdsDuring 
       (ImmediateFutureFn ?TIME) 
         (modalAttribute ?FORMULA ?NORM))))

(instance deprivesNorm TernaryPredicate)
(disjointRelation deprivesNorm confersNorm)
(domain deprivesNorm 1 Entity)
(domain deprivesNorm 2 Formula)
(domain deprivesNorm 3 ObjectiveNorm)

(documentation deprivesNorm EnglishLanguage "Expresses the relationship between an
&%Entity, a &%Formula, and an &%ObjectiveNorm when the &%Entity
brings it about that the &%Formula does not have the &%ObjectiveNorm.")

(=>
   (holdsDuring ?TIME 
     (deprivesNorm ?ENTITY ?FORMULA ?NORM))
   (and
      (holdsDuring 
        (ImmediatePastFn ?TIME) 
          (modalAttribute ?FORMULA ?NORM))
      (holdsDuring 
        (ImmediateFutureFn ?TIME) 
          (not (modalAttribute ?FORMULA ?NORM)))))

(instance partlyLocated SpatialRelation)
(instance partlyLocated BinaryPredicate)
(instance partlyLocated TotalValuedRelation)
(domain partlyLocated 1 Physical)
(domain partlyLocated 2 Object)

(documentation partlyLocated EnglishLanguage "(&%partlyLocated ?OBJ1 ?OBJ2) means
that the instance of &%Physical ?OBJ1 is at least partially located at ?OBJ2.  For
example, Istanbul is partly located in &%Asia and partly located in &%Europe.
Note that &%partlyLocated is the most basic localization relation:  &%located
is an immediate &%subrelation of &%partlyLocated and &%exactlyLocated is
an immediate &%subrelation of &%located.")

(=>
  (and
    (instance ?OBJ1 Object)
    (partlyLocated ?OBJ1 ?OBJ2))
  (overlapsSpatially ?OBJ1 ?OBJ2))

(=>
  (and
    (instance ?OBJ1 Object)
    (partlyLocated ?OBJ1 ?OBJ2))
  (exists (?SUB)
    (and
      (part ?SUB ?OBJ1)
      (located ?SUB ?OBJ2))))

(instance located AntisymmetricRelation)
(instance located TransitiveRelation)
(instance located TotalValuedRelation)
(subrelation located partlyLocated)

(domain located 1 Physical)
(domain located 2 Object)

(documentation located EnglishLanguage "(&%located ?OBJ1 ?OBJ2) means that ?OBJ1 is
&%partlyLocated at ?OBJ2, and there is no &%part of ?OBJ1 that is not &%located at
?OBJ2.")

(=>
  (located ?OBJ1 ?OBJ2)
  (forall (?SUB)
    (=>
      (part ?SUB ?OBJ1)
      (located ?SUB ?OBJ2))))

(instance eventPartlyLocated CaseRole)
(instance eventPartlyLocated PartialValuedRelation)

(=>
  (eventPartlyLocated ?PROC ?OJB)
  (partlyLocated ?PROC ?OJB))

(domain eventPartlyLocated 1 Process)
(domain eventPartlyLocated 2 Object)

(documentation eventPartlyLocated EnglishLanguage "(&%eventPartlyLocated ?PROC ?OBJ)
means that some &%subProcess of &%Process ?PROC is located in &%Object ?OBJ.")

(=>
  (eventPartlyLocated ?PROC ?OBJ)
  (exists (?SUB)
    (and
      (subProcess ?SUB ?PROC)
      (eventLocated ?SUB ?OBJ))))

(=>
  (origin ?PROCESS ?LOC)
  (eventPartlyLocated ?PROCESS ?LOC))

(=>
  (destination ?PROCESS ?LOC)
  (eventPartlyLocated ?PROCESS ?LOC))

(subrelation eventPartlyLocated involvedInEvent)

(subrelation eventLocated eventPartlyLocated)
(instance eventLocated CaseRole)
(instance eventLocated TotalValuedRelation)

(documentation eventLocated EnglishLanguage "(&%eventLocated ?PROC ?OBJ) means that
the entire &%Process ?PROC is located on &%Object ?OBJ, meaning that all &%subProcess
of ?PROC is located on ?OBJ.")

(=>
  (eventLocated ?PROCESS ?OBJ)
  (forall (?SUB)
    (=>
      (subProcess ?SUB ?PROCESS)
      (eventLocated ?SUB ?OBJ))))

(subrelation exactlyLocated located)
(instance exactlyLocated BinaryPredicate)

(documentation exactlyLocated EnglishLanguage "The actual, minimal location of an
Object.  This is a subrelation of the more general &%Predicate
&%located.")

(=>
   (exactlyLocated ?OBJ ?REGION)
   (not
      (exists (?OTHEROBJ)
         (and
            (exactlyLocated ?OTHEROBJ ?REGION)
            (not
               (equal ?OTHEROBJ ?OBJ))))))

(instance between SpatialRelation)
(instance between TernaryPredicate)
(domain between 1 Object)
(domain between 2 Object)
(domain between 3 Object)

(documentation between EnglishLanguage "(between ?OBJ1 ?OBJ2 ?OBJ3) means that ?OBJ2 is
spatially located between ?OBJ1 and ?OBJ3.  Note that this implies that
?OBJ2 is directly between ?OBJ1 and ?OBJ3, i.e. the projections of ?OBJ1
and ?OBJ3 overlap with ?OBJ2.")

(=>
  (between ?END1 ?MID ?END2)
  (between ?END2 ?MID ?END1))

(documentation betweenOnPath EnglishLanguage "(betweenOnPath ?OBJ1 ?OBJ2 ?OBJ3 ?PATH)
means that ?OBJ2 is spatially located between ?OBJ1 and ?OBJ3 on the path
?PATH.  Note that this is a more specialized relation of between since any
object that is between others with respect to a particular path is also
simply between them.")

(instance betweenOnPath SpatialRelation)
(instance betweenOnPath QuaternaryPredicate)
(domain betweenOnPath 1 Object)
(domain betweenOnPath 2 Object)
(domain betweenOnPath 3 Object)
(domain betweenOnPath 4 Object)

(=>
  (betweenOnPath ?OBJ1 ?OBJ2 ?OBJ3 ?PATH)
  (between ?OBJ1 ?OBJ2 ?OBJ3))

(instance traverses BinaryPredicate)
(instance traverses SpatialRelation)
(domain traverses 1 Object)
(domain traverses 2 Object)

(documentation traverses EnglishLanguage "(&%traverses ?OBJ1 ?OBJ2) means that ?OBJ1
crosses or extends across ?OBJ2.  Note that &%crosses and
&%penetrates are subrelations of &%traverses.")

(=>
   (traverses ?OBJ1 ?OBJ2)
   (or
      (crosses ?OBJ1 ?OBJ2)
      (penetrates ?OBJ1 ?OBJ2)))

(subrelation crosses traverses)
(instance crosses AsymmetricRelation)
(instance crosses TransitiveRelation)
(disjointRelation crosses connected)

(documentation crosses EnglishLanguage "(crosses ?OBJ1 ?OBJ2) means that
&%Object ?OBJ1 &%traverses Object ?OBJ2, without being &%connected
to it.")

(subrelation penetrates traverses)
(instance penetrates AsymmetricRelation)
(instance penetrates IntransitiveRelation)
(instance penetrates PartialValuedRelation)

(documentation penetrates EnglishLanguage "(penetrates ?OBJ1 ?OBJ2) means that
?OBJ1 is &%connected to ?OBJ2 along at least one whole dimension (length,
width or depth).")

(=>
  (penetrates ?X ?Y)
  (meetsSpatially ?X ?Y))

(instance WhereFn BinaryFunction)
(instance WhereFn SpatialRelation)
(instance WhereFn TotalValuedRelation)
(domain WhereFn 1 Physical)
(domain WhereFn 2 TimePoint)
(range WhereFn Region)
(relatedInternalConcept WhereFn WhenFn)

(documentation WhereFn EnglishLanguage "Maps an &%Object and a &%TimePoint at which the
&%Object exists to the &%Region where the &%Object existed at that
&%TimePoint.")

(=>
  (equal
    (WhereFn ?THING ?TIME) ?REGION)
  (holdsDuring ?TIME
    (exactlyLocated ?THING ?REGION)))

(=>
  (holdsDuring ?TIME
    (exactlyLocated ?THING ?REGION))
  (equal
    (WhereFn ?THING ?TIME) ?REGION))

(instance possesses BinaryPredicate)
(instance possesses AsymmetricRelation)
(domain possesses 1 Agent)
(domain possesses 2 Object)

(documentation possesses EnglishLanguage "&%Relation that holds between an &%Agent and
an &%Object when the &%Agent has ownership of the &%Object.  Note that this is distinct
from having the right to use or be located at a particular object, for example, by
&%Renting.")

(=>
   (possesses ?PERSON ?OBJ)
   (modalAttribute (uses ?OBJ ?PERSON) Permission))

(=>
  (and
    (holdsDuring ?T
      (possesses ?PERSON ?OBJ))
    (part ?P ?OBJ))
  (holdsDuring ?T
    (possesses ?PERSON ?P)))

(=>
   (and
      (instance ?TIME TimePosition)
      (holdsDuring ?TIME (possesses ?AGENT1 ?OBJ))
      (holdsDuring ?TIME (possesses ?AGENT2 ?OBJ)))
   (equal ?AGENT1 ?AGENT2))

(instance PropertyFn UnaryFunction)
(instance PropertyFn TotalValuedRelation)
(domain PropertyFn 1 Agent)
(range PropertyFn Set)

(documentation PropertyFn EnglishLanguage "A &%UnaryFunction that maps an &%Agent to the
&%Set of &%Objects owned by the &%Agent.")

(=>
  (instance ?OBJ
    (PropertyFn ?PERSON))
  (possesses ?PERSON ?OBJ))

(=>
  (possesses ?PERSON ?OBJ)
  (instance ?OBJ
    (PropertyFn ?PERSON)))

(instance precondition BinaryPredicate)
(instance precondition AsymmetricRelation)
(instance precondition TransitiveRelation)
(domainSubclass precondition 1 Process)
(domainSubclass precondition 2 Process)

(documentation precondition EnglishLanguage "A very general &%Predicate.  (&%precondition
?PROC1 ?PROC2) means that an instance of ?PROC2 can exist only if an instance of ?PROC1
also exists.")

(=>
   (precondition ?PROC1 ?PROC2)
   (=>
      (exists (?INST2) (instance ?INST2 ?PROC2))
      (exists (?INST1) (instance ?INST1 ?PROC1))))

(instance hindersSubclass BinaryPredicate)
(instance hindersSubclass IrreflexiveRelation)
(instance hindersSubclass PartialValuedRelation)
(domainSubclass hindersSubclass 1 Process)
(domainSubclass hindersSubclass 2 Process)

(documentation hindersSubclass EnglishLanguage "A very general &%Predicate.
(&%hindersSubclass
?PROC1 ?PROC2) means that the &%Process ?PROC1 hindersSubclass or hinders
the occurrence of the &%Process ?PROC2.  For example, obstructing an
object hindersSubclass moving it.  Note that this is a relation between types
of &%Processes, not between instances.")

(=>
  (hindersSubclass ?PROC1 ?PROC2)
  (forall (?TIME ?PLACE)
    (decreasesLikelihood
      (holdsDuring ?TIME
        (exists (?INST1)
          (and
            (instance ?INST1 ?PROC1)
            (eventLocated ?INST1 ?PLACE))))
      (holdsDuring ?TIME
        (exists (?INST2)
          (and
            (instance ?INST2 ?PROC2)
            (eventLocated ?INST2 ?PLACE)))))))

(instance preventsSubclass BinaryPredicate)
(instance preventsSubclass IrreflexiveRelation)
(instance preventsSubclass PartialValuedRelation)
(domainSubclass preventsSubclass 1 Process)
(domainSubclass preventsSubclass 2 Process)
(relatedInternalConcept preventsSubclass hindersSubclass)

(documentation preventsSubclass EnglishLanguage "A very general &%Predicate.
(preventsSubclass ?PROC1 ?PROC2) means that ?PROC1 preventsSubclass the occurrence of
?PROC2.  In other words, if ?PROC1 is occurring in a particular time and place, ?PROC2
cannot occur at the same time and place.  For example, innoculating preventsSubclass
contracting disease.  Note that this is a relation between types of &%Processes, not
between instances.")

(=>
  (preventsSubclass ?PROC1 ?PROC2)
  (forall (?TIME ?PLACE)
    (=>
      (holdsDuring ?TIME
        (exists (?INST1)
          (and
            (instance ?INST1 ?PROC1)
            (eventLocated ?INST1 ?PLACE))))
      (not
        (holdsDuring ?TIME
          (exists (?INST2)
            (and
              (instance ?INST2 ?PROC2)
              (eventLocated ?INST2 ?PLACE))))))))

(instance prevents BinaryPredicate)
(instance prevents IrreflexiveRelation)
(instance prevents PartialValuedRelation)
(domain prevents 1 Process)
(domainSubclass prevents 2 Process)
(relatedInternalConcept prevents preventsSubclass)
(relatedInternalConcept prevents hinders)

(documentation prevents EnglishLanguage "A very general &%Predicate.  (prevents ?PROC1 ?PROC2)
means that an instance of ?PROC1 prevents the occurrence of ?PROC2. Note the difference between
this relation and &%preventsSubclass, which is relating classes and not instance-class.")

(=>
  (and
    (prevents ?X ?P)
    (equal (WhenFn ?X) ?T)
    (eventLocated ?X ?L))
  (not
    (holdsDuring ?T
      (exists (?Y)
        (and
          (instance ?Y ?P)
          (eventLocated ?Y ?L))))))

(instance hinders BinaryPredicate)
(instance hinders IrreflexiveRelation)
(instance hinders PartialValuedRelation)
(domain hinders 1 Process)
(domainSubclass hinders 2 Process)
(relatedInternalConcept hinders hindersSubclass)

(documentation hinders EnglishLanguage "A general &%Predicate, where (hinders ?PROC1 ?PROC2)
means that an instance of ?PROC1 &%decreasesLikelihood of occurrence of ?PROC2. Compare with
&%prevents which is stronger and &%hindersSubclass which relates classes of &%Processes.")

(=>
  (hinders ?X ?PROC)
  (exists (?L ?T)
    (decreasesLikelihood
      (and
        (equal (WhenFn ?X) ?T)
        (eventLocated ?X ?L))
      (holdsDuring ?T
        (exists (?Y)
          (and
            (instance ?Y ?PROC)
            (eventLocated ?Y ?L)))))))

(instance refers BinaryPredicate)
(domain refers 1 Entity)
(domain refers 2 Entity)

(documentation refers EnglishLanguage "(&%refers ?OBJ1 ?OBJ2) means that ?OBJ1
mentions or includes a reference to ?OBJ2. Note that &%refers is
more general in meaning than &%represents, because presumably something
can represent something else only if it refers to this other thing.
For example, an article whose topic is a recent change in the price of
oil may refer to many other things, e.g. the general state of the economy,
the weather in California, the prospect of global warming, the options
for alternative energy sources, the stock prices of various oil companies,
etc.")

(subrelation names refers)
(instance names BinaryPredicate)
(domain names 1 SymbolicString)

(documentation names EnglishLanguage "(&%names ?STRING ?ENTITY) means that the thing
?ENTITY has the &%SymbolicString ?STRING as its name.  Note that &%names and &%represents
are the two immediate &%subrelations of &%refers.  The predicate &%names is used
when the referring item is merely a tag without connotative content, while the
predicate &%represents is used for referring items that have such content.")

(subrelation uniqueIdentifier names)
(instance uniqueIdentifier BinaryPredicate)
(instance uniqueIdentifier SingleValuedRelation)
(instance uniqueIdentifier PartialValuedRelation)

(documentation uniqueIdentifier EnglishLanguage "The class of &%names that uniquely
identify an instance of &%Entity.  Some examples of &%uniqueIdentifiers are the keys
of tables in database applications and the ISBN (International Standard Book
Number).")

(subrelation represents refers)
(instance represents BinaryPredicate)

(documentation represents EnglishLanguage "A very general semiotics &%Predicate.
(&%represents ?THING ?ENTITY) means that ?THING in some way indicates,
expresses, connotes, pictures, describes, etc. ?ENTITY.  The &%Predicates
&%containsInformation and &%realization are subrelations of &%represents.
Note that &%represents is a subrelation of &%refers, since something can
represent something else only if it refers to this other thing.  See the
documentation string for &%names.")

(instance representsForAgent TernaryPredicate)
(domain representsForAgent 1 Entity)
(domain representsForAgent 2 Entity)
(domain representsForAgent 3 Agent)

(documentation representsForAgent EnglishLanguage "A very general predicate.
(&%representsForAgent ?ENTITY1 ?ENTITY2 ?AGENT) means that the ?AGENT
chooses to use ?ENTITY1 to 'stand for' ?ENTITY2.")

(=>
   (representsForAgent ?REP ?ENTITY ?AGENT)
   (represents ?REP ?ENTITY))

(instance representsInLanguage TernaryPredicate)
(domain representsInLanguage 1 LinguisticExpression)
(domain representsInLanguage 2 Entity)
(domain representsInLanguage 3 Language)

(documentation representsInLanguage EnglishLanguage "A very general predicate.
(&%representsInLanguage ?THING ?ENTITY ?LANGUAGE) means that the
&%LinguisticExpression ?THING stands for ?ENTITY in the &%Language
?LANGUAGE.")

(=>
   (representsInLanguage ?REP ?ENTITY ?LANGUAGE)
   (exists (?AGENT)
      (representsForAgent ?REP ?ENTITY ?AGENT)))

(instance equivalentContentClass EquivalenceRelation)
(instance equivalentContentClass BinaryPredicate)
(domainSubclass equivalentContentClass 1 ContentBearingPhysical)
(domainSubclass equivalentContentClass 2 ContentBearingPhysical)

(documentation equivalentContentClass EnglishLanguage "A &%BinaryPredicate that relates
two subclasses of &%ContentBearingPhysical.  (&%equivalentContentClass ?CLASS1
?CLASS2) means that the content expressed by each instance of ?CLASS1 is
also expressed by each instance of ?CLASS2, and vice versa.  An example
would be the relationship between English and Russian editions of Agatha
Christie's 'Murder on the Orient Express'.  Note that
(&%equivalentContentClass ?CLASS1 ?CLASS2) implies (&%subsumesContentClass
?CLASS1 ?CLASS2) and (&%subsumesContentClass ?CLASS2 ?CLASS1).")

(=>
  (and
    (subsumesContentClass ?CLASS1 ?CLASS2)
    (subsumesContentClass ?CLASS2 ?CLASS1))
  (equivalentContentClass ?CLASS1 ?CLASS2))

(=>
  (equivalentContentClass ?CLASS1 ?CLASS2)
  (and
    (subsumesContentClass ?CLASS1 ?CLASS2)
    (subsumesContentClass ?CLASS2 ?CLASS1)))

(instance subsumesContentClass BinaryPredicate)
(instance subsumesContentClass PartialOrderingRelation)
(domainSubclass subsumesContentClass 1 ContentBearingPhysical)
(domainSubclass subsumesContentClass 2 ContentBearingPhysical)

(documentation subsumesContentClass EnglishLanguage "A &%BinaryPredicate that relates two
subclasses of &%ContentBearingPhysical.  (&%subsumesContentClass ?CLASS1
?CLASS2) means that the content expressed by each instance of ?CLASS2 is
also expressed by each instance of ?CLASS1.  Examples include the
relationship between a poem and one of its stanzas or between a book and
one of its chapters.  Note that this is a relation between subclasses of
&%ContentBearingObject, rather than instances.  If one wants to relate
instances, the &%Predicate &%subsumesContentInstance can be used.  Note
that &%subsumesContentClass is needed in many cases.  Consider, for
example, the relation between the King James edition of the Bible and its
Book of Genesis.  This relation holds for every copy of this edition and
not just for a single instance.")

(=>
  (subsumesContentClass ?CLASS1 ?CLASS2)
  (forall (?OBJ2 ?INFO)
    (=>
      (and
        (instance ?OBJ2 ?CLASS2)
        (containsInformation ?OBJ2 ?INFO))
      (exists (?OBJ1)
        (and
          (instance ?OBJ1 ?CLASS1)
          (containsInformation ?OBJ1 ?INFO))))))

(instance equivalentContentInstance EquivalenceRelation)
(instance equivalentContentInstance BinaryPredicate)
(domain equivalentContentInstance 1 ContentBearingPhysical)
(domain equivalentContentInstance 2 ContentBearingPhysical)
(relatedInternalConcept equivalentContentInstance equivalentContentClass)

(documentation equivalentContentInstance EnglishLanguage "A &%BinaryPredicate relating two
instances of &%ContentBearingPhysical.  (&%equivalentContentInstance
?OBJ1 ?OBJ2) means that the content expressed by ?OBJ1 is identical to
the content expressed by ?OBJ2.  An example would be the relationship
between a handwritten draft of a letter to one's lawyer and a typed
copy of the same letter.  Note that (&%equivalentContentInstance ?OBJ1
?OBJ2) implies (&%subsumesContentInstance ?OBJ1 ?OBJ2) and
(&%subsumesContentInstance ?OBJ2 ?OBJ2).")

(=>
  (and
    (subsumesContentInstance ?OBJ1 ?OBJ2)
    (subsumesContentInstance ?OBJ2 ?OBJ1))
  (equivalentContentInstance ?OBJ1 ?OBJ2))

(=>
  (equivalentContentInstance ?OBJ1 ?OBJ2)
  (and
    (subsumesContentInstance ?OBJ1 ?OBJ2)
    (subsumesContentInstance ?OBJ2 ?OBJ1)))

(instance subsumesContentInstance BinaryPredicate)
(instance subsumesContentInstance PartialOrderingRelation)
(domain subsumesContentInstance 1 ContentBearingPhysical)
(domain subsumesContentInstance 2 ContentBearingPhysical)
(relatedInternalConcept subsumesContentInstance subsumesContentClass)

(documentation subsumesContentInstance EnglishLanguage "A &%BinaryPredicate relating two
instances of &%ContentBearingPhysical.  (&%subsumesContentInstance ?OBJ1 ?OBJ2)
means that the content expressed by ?OBJ2 is part of the content expressed
by ?OBJ1.  An example is the relationship between a handwritten poem and
one of its stanzas.  Note that this is a relation between instances,
rather than &%Classes.  If one wants to assert a content relationship
between &%Classes, e.g. between the version of an intellectual work and a
part of that work, the relation &%subsumesContentClass should be used.")

(=>
  (and
    (subsumesContentInstance ?OBJ1 ?OBJ2)
    (containsInformation ?OBJ2 ?INFO))
  (containsInformation ?OBJ1 ?INFO))

(subrelation realization represents)
(instance realization AsymmetricRelation)
(domain realization 1 Process)
(domain realization 2 Proposition)
(relatedInternalConcept realization equivalentContentInstance)
(relatedInternalConcept realization containsInformation)

(documentation realization EnglishLanguage "A subrelation of &%represents.
(&%realization ?PROCESS ?PROP) means that ?PROCESS is a Process which
expresses the content of ?PROP. Examples include a particular musical
performance, which realizes the content of a musical score, or the
reading of a poem.")

(=>
   (realization ?PROCESS ?PROP)
   (exists (?OBJ)
      (and
         (instance ?OBJ ContentBearingObject)
         (containsInformation ?OBJ ?PROP))))

(instance expressedInLanguage BinaryPredicate)
(instance expressedInLanguage AsymmetricRelation)
(domain expressedInLanguage 1 LinguisticExpression)
(domain expressedInLanguage 2 Language)

(documentation expressedInLanguage EnglishLanguage "(&%expressedInLanguage ?EXPRESS ?LANG)
means that the &%LinguisticExpression ?EXPRESS is part of the &%Language
?LANG.")

(=>
  (expressedInLanguage ?EXPRESS ?LANGUAGE)
  (exists (?PROP)
    (representsInLanguage ?EXPRESS ?PROP ?LANGUAGE)))

(=>
  (representsInLanguage ?EXPRESS ?PROP ?LANGUAGE)
  (expressedInLanguage ?EXPRESS ?LANGUAGE))

(instance subProposition BinaryPredicate)
(instance subProposition TransitiveRelation)
(instance subProposition IrreflexiveRelation)
(instance subProposition PartialValuedRelation)
(domain subProposition 1 Proposition)
(domain subProposition 2 Proposition)

(documentation subProposition EnglishLanguage "(&%subProposition ?PROP1 ?PROP2) means that
?PROP1 is a &%Proposition which is a proper part of the &%Proposition ?PROP2.
In other words, &%subProposition is the analogue of &%properPart for chunks
of abstract content.")

(=>
   (subProposition ?PROP1 ?PROP2)
   (forall (?OBJ1 ?OBJ2)
      (=>
         (and
            (containsInformation ?OBJ1 ?PROP1)
            (containsInformation ?OBJ2 ?PROP2))
         (subsumesContentInstance ?OBJ2 ?OBJ1))))

(subrelation subPlan subProposition)
(instance subPlan TransitiveRelation)
(instance subPlan IrreflexiveRelation)
(instance subPlan PartialValuedRelation)
(domain subPlan 1 Plan)
(domain subPlan 2 Plan)

(documentation subPlan EnglishLanguage "(&%subPlan ?PLAN1 ?PLAN2) means that ?PLAN1
is a &%Plan which is a proper part of ?PLAN2.  This relation is generally
used to relate a supporting &%Plan to the overall &%Plan in a particular
context.")

(instance uses BinaryPredicate)
(instance uses AsymmetricRelation)
(domain uses 1 Object)
(domain uses 2 Agent)

(documentation uses EnglishLanguage "(&%uses ?OBJECT AGENT) means that ?OBJECT is used by
?AGENT as an instrument in an unspecified &%Process.  This &%Predicate,
as its corresponding axiom indicates, is a composition of the &%CaseRoles
&%agent and &%instrument.")

(=>
  (uses ?OBJ ?AGENT)
  (exists (?PROC)
    (and
      (agent ?PROC ?AGENT)
      (instrument ?PROC ?OBJ))))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;;;;
;;  NUMERIC FUNCTIONS   ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'STRUCTURAL ONTOLOGY'
;; INCLUDES 'BASE ONTOLOGY'

(instance MultiplicationFn BinaryFunction)
(instance MultiplicationFn AssociativeFunction)
(instance MultiplicationFn CommutativeFunction)
;(instance MultiplicationFn RelationExtendedToQuantities)
(instance MultiplicationFn TotalValuedRelation)
(domain MultiplicationFn 1 RealNumber)
(domain MultiplicationFn 2 RealNumber)
(range MultiplicationFn RealNumber)

(documentation MultiplicationFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are &%Numbers,
then (&%MultiplicationFn ?NUMBER1 ?NUMBER2) is the arithmetical product
of these numbers.")

(instance AdditionFn BinaryFunction)
(instance AdditionFn AssociativeFunction)
(instance AdditionFn CommutativeFunction)
; (instance AdditionFn RelationExtendedToQuantities)
(instance AdditionFn TotalValuedRelation)
(domain AdditionFn 1 RealNumber)
(domain AdditionFn 2 RealNumber)
(range AdditionFn RealNumber)

(documentation AdditionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then
(&%AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these
numbers.")

(forall (?NUMBER)
  (equal (SuccessorFn ?NUMBER) (AdditionFn ?NUMBER 1)))

(instance SubtractionFn BinaryFunction)
;(instance SubtractionFn RelationExtendedToQuantities)
(instance SubtractionFn TotalValuedRelation)
(domain SubtractionFn 1 RealNumber)
(domain SubtractionFn 2 RealNumber)
(range SubtractionFn RealNumber)

(documentation SubtractionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are &%Numbers,
then (&%SubtractionFn ?NUMBER1 ?NUMBER2) is the arithmetical difference
between ?NUMBER1 and ?NUMBER2, i.e. ?NUMBER1 minus ?NUMBER2.  An
exception occurs when ?NUMBER1 is equal to 0, in which case
(&%SubtractionFn ?NUMBER1 ?NUMBER2) is the negation of ?NUMBER2.")

(forall (?NUMBER)
  (equal (PredecessorFn ?NUMBER) (SubtractionFn ?NUMBER 1)))

(instance DivisionFn BinaryFunction)
;(instance DivisionFn RelationExtendedToQuantities)
(instance DivisionFn PartialValuedRelation)
(domain DivisionFn 1 RealNumber)
(domain DivisionFn 2 RealNumber)
(range DivisionFn RealNumber)

(documentation DivisionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then
(&%DivisionFn ?NUMBER1 ?NUMBER2) is the result of dividing ?NUMBER1 by
?NUMBER2.  Note that when ?NUMBER1 = 1 (&%DivisionFn ?NUMBER1 ?NUMBER2)
is the reciprocal of ?NUMBER2.  Note too that (&%DivisionFn ?NUMBER1
?NUMBER2) is undefined when ?NUMBER2 = 0.")

;(=>
;   (instance ?NUMBER RationalNumber)
;   (exists (?INT1 ?INT2)
;      (and
;         (instance ?INT1 Integer)
;         (instance ?INT2 Integer)
;         (equal ?NUMBER (DivisionFn ?INT1 ?INT2)))))

(instance AbsoluteValueFn UnaryFunction)
(instance AbsoluteValueFn TotalValuedRelation)
(domain AbsoluteValueFn 1 RealNumber)
(range AbsoluteValueFn NonnegativeRealNumber)

(documentation AbsoluteValueFn EnglishLanguage "The value of (&%AbsoluteValueFn ?NUMBER)
is the absolute value of the &%RealNumber ?NUMBER.")

(<=>
  (and
    (equal (AbsoluteValueFn ?NUMBER1) ?NUMBER2)
    (instance ?NUMBER1 RealNumber)
    (instance ?NUMBER2 RealNumber))
  (or
    (and
      (instance ?NUMBER1 NonnegativeRealNumber)
      (equal ?NUMBER1 ?NUMBER2))
    (and
      (instance ?NUMBER1 NegativeRealNumber)
      (equal ?NUMBER2 (SubtractionFn 0.0 ?NUMBER1)))))

(instance CeilingFn UnaryFunction)
(instance CeilingFn TotalValuedRelation)
(domain CeilingFn 1 RealNumber)
(range CeilingFn Integer)

(documentation CeilingFn EnglishLanguage "(&%CeilingFn ?NUMBER) returns the smallest
&%Integer greater than or equal to the &%RealNumber ?NUMBER.")

; not expressible in TFF or TPTP
; (=>
;   (equal (CeilingFn ?NUMBER) ?INT)
;   (not
;      (exists (?OTHERINT)
;         (and
;            (instance ?OTHERINT Integer)
;            (greaterThanOrEqualTo ?OTHERINT ?NUMBER)
;            (lessThan ?OTHERINT ?INT)))))

(instance CosineFn UnaryFunction)
(instance CosineFn TotalValuedRelation)
(domain CosineFn 1 PlaneAngleMeasure)
(range CosineFn RealNumber)

(documentation CosineFn EnglishLanguage "(&%CosineFn ?DEGREE) returns the cosine of the
&%PlaneAngleMeasure ?DEGREE.  The cosine of ?DEGREE is the ratio of the
side next to ?DEGREE to the hypotenuse in a right-angled triangle.")

(instance DenominatorFn UnaryFunction)
(instance DenominatorFn TotalValuedRelation)
(domain DenominatorFn 1 RealNumber)
(range DenominatorFn Integer)

(documentation DenominatorFn EnglishLanguage "(&%DenominatorFn ?NUMBER) returns the
denominator of the canonical reduced form of the &%RealNumber ?NUMBER.")

(instance ExponentiationFn BinaryFunction)
;(instance ExponentiationFn RelationExtendedToQuantities)
(instance ExponentiationFn TotalValuedRelation)
(domain ExponentiationFn 1 RealNumber)
(domain ExponentiationFn 2 Integer)
(range ExponentiationFn RealNumber)

(documentation ExponentiationFn EnglishLanguage "(&%ExponentiationFn ?NUMBER ?INT) returns
the &%RealNumber ?NUMBER raised to the power of the &%Integer ?INT.")

(instance FloorFn UnaryFunction)
(instance FloorFn TotalValuedRelation)
(domain FloorFn 1 RealNumber)
(range FloorFn Integer)

(documentation FloorFn EnglishLanguage "(&%FloorFn ?NUMBER) returns the largest &%Integer
less than or equal to the &%RealNumber ?NUMBER.")

; not expressible in TFF or TPTP
;(=>
;   (equal (FloorFn ?NUMBER) ?INT)
;   (not
;      (exists (?OTHERINT)
;         (and
;            (instance ?OTHERINT Integer)
;            (lessThanOrEqualTo ?OTHERINT ?NUMBER)
;            (greaterThan ?OTHERINT ?INT)))))

(instance GreatestCommonDivisorFn Function)
(instance GreatestCommonDivisorFn VariableArityRelation)
(instance GreatestCommonDivisorFn PartialValuedRelation)
(range GreatestCommonDivisorFn Integer)
(domain GreatestCommonDivisorFn 1 Integer)

(documentation GreatestCommonDivisorFn EnglishLanguage "(&%GreatestCommonDivisorFn
?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the greatest common divisor of
?NUMBER1 through ?NUMBER.")

(=>
  (equal (GreatestCommonDivisorFn @ROW) ?NUMBER)
  (=>
    (inList ?ELEMENT
      (ListFn @ROW))
    (instance ?ELEMENT Number)))

(=>
  (and
    (equal
      (GreatestCommonDivisorFn @ROW) ?NUMBER)
    (not
      (equal ?NUMBER 0)))
  (forall (?ELEMENT)
    (=>
      (inList ?ELEMENT
        (ListFn @ROW))
      (equal
        (RemainderFn ?ELEMENT ?NUMBER) 0))))

(=>
  (and
    (equal
      (GreatestCommonDivisorFn @ROW) ?NUMBER)
    (not
      (equal ?NUMBER 0)))
  (not
    (exists (?GREATER)
      (and
        (greaterThan ?GREATER ?NUMBER)
        (forall (?ELEMENT)
          (=>
            (inList ?ELEMENT (ListFn @ROW))
            (equal
              (RemainderFn ?ELEMENT ?GREATER) 0)))))))

(documentation multiplicativeFactor EnglishLanguage "(multiplicativeFactor ?NUMBER1
?NUMBER2)means that ?NUMBER1 is a factor of ?NUMBER2, i.e. ?NUMBER1 can be multiplied by
some &%Integer to give ?NUMBER2 as a result.")

(instance multiplicativeFactor BinaryPredicate)
(instance multiplicativeFactor TransitiveRelation)
(domain multiplicativeFactor 1 Integer)
(domain multiplicativeFactor 2 Integer)

(=>
  (multiplicativeFactor ?N1 ?N2)
  (exists (?I)
    (and
      (instance ?I Integer)
      (equal ?N2 (MultiplicationFn ?N1 ?I)))))

(instance ImaginaryPartFn UnaryFunction)
(instance ImaginaryPartFn TotalValuedRelation)
(domain ImaginaryPartFn 1 ComplexNumber)
(range ImaginaryPartFn ImaginaryNumber)

(documentation ImaginaryPartFn EnglishLanguage "(&%ImaginaryPartFn ?NUMBER) returns
the part of ?NUMBER that has the square root of -1 as its factor.")

;(=>
;   (instance ?NUMBER ComplexNumber)
;   (exists (?PART1 ?PART2)
;      (and
;         (equal ?PART1 (RealNumberFn ?NUMBER))
;         (equal ?PART2 (ImaginaryPartFn ?NUMBER)))))

(instance IntegerSquareRootFn UnaryFunction)
(instance IntegerSquareRootFn PartialValuedRelation)
(domain IntegerSquareRootFn 1 RealNumber)
(range IntegerSquareRootFn NonnegativeInteger)

(documentation IntegerSquareRootFn EnglishLanguage "(&%IntegerSquareRootFn ?NUMBER)
returns the integer square root of ?NUMBER.")

(instance LeastCommonMultipleFn Function)
(instance LeastCommonMultipleFn PartialValuedRelation)
(instance LeastCommonMultipleFn VariableArityRelation)
(range LeastCommonMultipleFn Integer)
(domain LeastCommonMultipleFn 1 Integer)

(documentation LeastCommonMultipleFn EnglishLanguage "(&%LeastCommonMultipleFn
?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the least common multiple of
?NUMBER1 through ?NUMBER.")

(=>
   (equal (LeastCommonMultipleFn @ROW) ?NUMBER)
    (=>
        (inList ?ELEMENT
            (ListFn @ROW))
        (instance ?ELEMENT Number)))

(=>
  (and
    (equal
      (LeastCommonMultipleFn @ROW) ?NUMBER)
    (not
      (equal ?NUMBER 0)))
  (forall (?ELEMENT)
    (=>
      (inList ?ELEMENT (ListFn @ROW))
      (equal
        (RemainderFn ?NUMBER ?ELEMENT) 0))))

(=>
  (and
    (equal
      (LeastCommonMultipleFn @ROW) ?NUMBER)
    (not
      (equal ?NUMBER 0)))
  (not
    (exists (?LESS)
      (and
        (lessThan ?LESS ?NUMBER)
        (forall (?ELEMENT)
          (=>
            (inList ?ELEMENT (ListFn @ROW))
            (equal
              (RemainderFn ?LESS ?ELEMENT) 0)))))))

(instance LogFn BinaryFunction)
(domain LogFn 1 RealNumber)
(domain LogFn 2 PositiveInteger)
(range LogFn RealNumber)

(documentation LogFn EnglishLanguage "(LogFn ?NUMBER ?INT) returns the logarithm of the
&%RealNumber ?NUMBER in the base denoted by the &%Integer ?INT.")

(instance MaxFn BinaryFunction)
(instance MaxFn AssociativeFunction)
(instance MaxFn CommutativeFunction)
;(instance MaxFn RelationExtendedToQuantities)
(instance MaxFn TotalValuedRelation)
(domain MaxFn 1 Number)
(domain MaxFn 2 Number)
(range MaxFn Number)

(documentation MaxFn EnglishLanguage "(&%MaxFn ?NUMBER1 ?NUMBER2) is the largest of
?NUMBER1 and ?NUMBER2.  In cases where ?NUMBER1 is equal to ?NUMBER2,
&%MaxFn returns one of its arguments.")

(=>
   (equal (MaxFn ?NUMBER1 ?NUMBER2) ?NUMBER)
   (or
      (and
         (equal ?NUMBER ?NUMBER1)
         (greaterThan ?NUMBER1 ?NUMBER2))
      (and
         (equal ?NUMBER ?NUMBER2)
         (greaterThan ?NUMBER2 ?NUMBER1))
      (and
         (equal ?NUMBER ?NUMBER1)
         (equal ?NUMBER ?NUMBER2))))

(instance MinFn BinaryFunction)
(instance MinFn AssociativeFunction)
(instance MinFn CommutativeFunction)
;(instance MinFn RelationExtendedToQuantities)
(instance MinFn TotalValuedRelation)
(domain MinFn 1 Number)
(domain MinFn 2 Number)
(range MinFn Number)

(documentation MinFn EnglishLanguage "(&%MinFn ?NUMBER1 ?NUMBER2) is the smallest of
?NUMBER1 and ?NUMBER2.  In cases where ?NUMBER1 is equal to ?NUMBER2,
&%MinFn returns one of its arguments.")

(=>
   (equal (MinFn ?NUMBER1 ?NUMBER2) ?NUMBER)
   (or
      (and
         (equal ?NUMBER ?NUMBER1)
         (lessThan ?NUMBER1 ?NUMBER2))
      (and
         (equal ?NUMBER ?NUMBER2)
         (lessThan ?NUMBER2 ?NUMBER1))
      (and
         (equal ?NUMBER ?NUMBER1)
         (equal ?NUMBER ?NUMBER2))))

(instance NumeratorFn UnaryFunction)
(instance NumeratorFn TotalValuedRelation)
(domain NumeratorFn 1 RealNumber)
(range NumeratorFn Integer)

(documentation NumeratorFn EnglishLanguage "(&%NumeratorFn ?NUMBER) returns the numerator
of the canonical reduced form ?NUMBER.")

(instance Pi PositiveRealNumber)

(documentation Pi EnglishLanguage "&%Pi is the &%RealNumber that
is the ratio of the perimeter of a circle to its diameter.  It is
approximately equal to 3.141592653589793.")

(instance NumberE PositiveRealNumber)

(documentation NumberE EnglishLanguage "&%NumberE is the &%RealNumber that is the base for
natural logarithms.  It is approximately equal to 2.718282.")

(instance RationalNumberFn UnaryFunction)
(domain RationalNumberFn 1 Number)
(range RationalNumberFn RationalNumber)

(documentation RationalNumberFn EnglishLanguage "(&%RationalNumberFn ?NUMBER) returns
the rational representation of ?NUMBER.")

(instance RealNumberFn UnaryFunction)
(domain RealNumberFn 1 Number)
(range RealNumberFn RealNumber)

(documentation RealNumberFn EnglishLanguage "(RealNumberFn ?NUMBER) returns the part of
?NUMBER that is a &%RealNumber.")

(instance ReciprocalFn UnaryFunction)
;(instance ReciprocalFn RelationExtendedToQuantities)
(instance ReciprocalFn TotalValuedRelation)
(domain ReciprocalFn 1 RealNumber)
(range ReciprocalFn RealNumber)

(documentation ReciprocalFn EnglishLanguage "(ReciprocalFn ?NUMBER) is the reciprocal
element of ?NUMBER with respect to the multiplication operator
(&%MultiplicationFn), i.e. 1/?NUMBER.  Not all numbers have a reciprocal
element.  For example the number 0 does not.  If a number ?NUMBER has a
reciprocal ?RECIP, then the product of ?NUMBER and ?RECIP will be
1, e.g. 3*1/3 = 1.  The reciprocal of an element is &%equal to
applying the &%ExponentiationFn function to the element to the power
-1.")

(=>
   (instance ?NUMBER Integer)
   (equal (ReciprocalFn ?NUMBER) (ExponentiationFn ?NUMBER -1)))

(=>
   (and
     (instance ?NUMBER Integer)
     (not
       (equal ?NUMBER 0)))
   (equal 1 (MultiplicationFn ?NUMBER (ReciprocalFn ?NUMBER))))

(instance RemainderFn BinaryFunction)
; (instance RemainderFn RelationExtendedToQuantities)
(instance RemainderFn PartialValuedRelation)
(domain RemainderFn 1 Integer)
(domain RemainderFn 2 Integer)
(range RemainderFn Integer)

(documentation RemainderFn EnglishLanguage "(RemainderFn ?NUMBER ?DIVISOR) is the
remainder of the number ?NUMBER divided by the number ?DIVISOR.
The result has the same sign as ?DIVISOR.")

(=>
  (and
    (equal
      (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (not
      (equal ?NUMBER2 0)))
  (equal
    (AdditionFn
      (MultiplicationFn
        (FloorFn
          (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER)
    ?NUMBER1))

(=>
  (and
    (not
      (equal ?NUMBER2 0))
    (equal
      (AdditionFn
        (MultiplicationFn
          (FloorFn
            (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER)
      ?NUMBER1))
  (equal
    (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER))

(=>
  (and
    (equal
      (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (not
      (equal ?NUMBER2 0)))
  (equal
    (SignumFn ?NUMBER2)
    (SignumFn ?NUMBER)))

(=>
  (instance ?NUMBER EvenInteger)
  (equal
    (RemainderFn ?NUMBER 2) 0))

(=>
  (instance ?NUMBER OddInteger)
  (equal
    (RemainderFn ?NUMBER 2) 1))

(=>
   (instance ?PRIME PrimeNumber)
   (forall (?NUMBER)
      (=>
         (and
           (equal
             (RemainderFn ?PRIME ?NUMBER) 0)
           (not
             (equal ?NUMBER 0)))
         (or
            (equal ?NUMBER 1)
            (equal ?NUMBER ?PRIME)))))

(instance RoundFn UnaryFunction)
;(instance RoundFn RelationExtendedToQuantities)
(instance RoundFn TotalValuedRelation)
(domain RoundFn 1 RealNumber)
(range RoundFn RealNumber)

(documentation RoundFn EnglishLanguage "(&%RoundFn ?NUMBER) is the &%Integer closest
to ?NUMBER on the number line.  If ?NUMBER is halfway between two &%Integers (for example
3.5), it denotes the larger &%Integer.")

;(=>
;   (equal (RoundFn ?NUMBER1) ?NUMBER2)
;   (or
;      (=>
;         (lessThan (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5)
;         (equal ?NUMBER2 (FloorFn ?NUMBER1)))
;      (=>
;         (greaterThanOrEqualTo (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5)
;         (equal ?NUMBER2 (CeilingFn ?NUMBER1)))))

(instance SignumFn UnaryFunction)
(instance SignumFn TotalValuedRelation)
(domain SignumFn 1 RealNumber)
(range SignumFn Integer)

(documentation SignumFn EnglishLanguage "(SignumFn ?NUMBER) denotes the sign of ?NUMBER.
This is one of the following values:  -1, 1, or 0.")

(=>
   (instance ?NUMBER NonnegativeRealNumber)
   (or
      (equal (SignumFn ?NUMBER) 1)
      (equal (SignumFn ?NUMBER) 0)))

(=>
   (instance ?NUMBER PositiveRealNumber)
   (equal (SignumFn ?NUMBER) 1))

(=>
   (instance ?NUMBER NegativeRealNumber)
   (equal (SignumFn ?NUMBER) -1))

(instance SineFn UnaryFunction)
(instance SineFn TotalValuedRelation)
(domain SineFn 1 RealNumber)
(range SineFn RealNumber)

(documentation SineFn EnglishLanguage "(&%SineFn ?DEGREE) is the sine of
?DEGREE.  The sine of ?DEGREE is the ratio of the side
opposite ?DEGREE to the hypotenuse in a right-angled triangle.")

(instance SquareRootFn UnaryFunction)
(domain SquareRootFn 1 RealNumber)
(range SquareRootFn RealNumber)
      
(documentation SquareRootFn EnglishLanguage "(SquareRootFn ?NUMBER) is the principal
square root of ?NUMBER.")

(=>
   (equal (SquareRootFn ?NUMBER1) ?NUMBER2)
   (equal (MultiplicationFn ?NUMBER2 ?NUMBER2) ?NUMBER1))

(instance TangentFn UnaryFunction)
(instance TangentFn TotalValuedRelation)
(domain TangentFn 1 RealNumber)
(range TangentFn RealNumber)

(documentation TangentFn EnglishLanguage "(&%TangentFn ?DEGREE) is the tangent of
?DEGREE.  The tangent of ?DEGREE is the ratio of
the side opposite ?DEGREE to the side next to ?DEGREE in a right-angled
triangle.")

(=>
   (instance ?DEGREE RealNumber)
   (equal 
     (TangentFn ?DEGREE) 
     (DivisionFn 
       (SineFn ?DEGREE) 
       (CosineFn ?DEGREE))))

(instance ArcTangentFn UnaryFunction)
(instance ArcTangentFn TotalValuedRelation)
(domain ArcTangentFn 1 RealNumber)
(range ArcTangentFn RealNumber)
(documentation ArcTangentFn EnglishLanguage "The inverse of &%TangentFn.")
(format EnglishLanguage ArcTangentFn "the &%arctan of %1")
(termFormat EnglishLanguage ArcTangentFn "arctangent")

(equal (ArcTangentFn (TangentFn ?X)) ?X)

(instance ArcCosineFn UnaryFunction)
(instance ArcCosineFn TotalValuedRelation)
(domain ArcCosineFn 1 RealNumber)
(range ArcCosineFn RealNumber)
(documentation ArcCosineFn EnglishLanguage "The inverse of &%CosineFn.")
(format EnglishLanguage ArcCosineFn "the &%arccosine of %1")
(termFormat EnglishLanguage ArcCosineFn "arccosine")

(equal (ArcCosineFn (CosineFn ?X)) ?X)

(instance ArcSineFn UnaryFunction)
(instance ArcSineFn TotalValuedRelation)
(domain ArcSineFn 1 RealNumber)
(range ArcSineFn RealNumber)
(documentation ArcSineFn EnglishLanguage "The inverse of &%SineFn.")
(format EnglishLanguage ArcSineFn "the &%arcsine of %1")
(termFormat EnglishLanguage ArcSineFn "arcsine")

(equal (ArcSineFn (SineFn ?X)) ?X)

(instance identityElement BinaryPredicate)
(domain identityElement 1 BinaryFunction)
(domain identityElement 2 Integer)

(documentation identityElement EnglishLanguage "An object ?ID is the identity element
for &%BinaryFunction ?FUNCTION just in case, for every instance ?INST, applying ?FUNCTION
to ?INST and ?ID results in ?INST.")

;(=>
;   (identityElement ?FUNCTION ?ID)
;   (forall (?INST)
;      (=>
;         (and
;            (domain ?FUNCTION 1 ?CLASS)
;            (instance ?INST ?CLASS))
;         (equal (AssignmentFn ?FUNCTION ?ID ?INST) ?INST))))

(identityElement MultiplicationFn 1)
(identityElement AdditionFn 0)
(identityElement SubtractionFn 0)
(identityElement DivisionFn 1)

(instance SuccessorFn UnaryFunction)
(instance SuccessorFn TotalValuedRelation)
(domain SuccessorFn 1 Integer)
(range SuccessorFn Integer)

(documentation SuccessorFn EnglishLanguage "A &%UnaryFunction that maps an &%Integer to
its successor, e.g. the successor of 5 is 6.")

(=>
   (equal (SuccessorFn ?INT1) (SuccessorFn ?INT2))
   (equal ?INT1 ?INT2))

(=>
   (instance ?INT Integer)
   (lessThan ?INT (SuccessorFn ?INT)))

;(=>
;   (and
;      (instance ?INT1 Integer)
;      (instance ?INT2 Integer))
;   (not
;      (and
;         (lessThan ?INT1 ?INT2)
;         (lessThan ?INT2 (SuccessorFn ?INT1)))))

(=>
   (instance ?INT Integer)
   (equal ?INT (SuccessorFn (PredecessorFn ?INT))))

(=>
   (instance ?INT Integer)
   (equal ?INT (PredecessorFn (SuccessorFn ?INT))))

(instance PredecessorFn UnaryFunction)
(instance PredecessorFn TotalValuedRelation)
(domain PredecessorFn 1 Integer)
(range PredecessorFn Integer)

(documentation PredecessorFn EnglishLanguage "A &%UnaryFunction that maps an &%Integer to
its predecessor, e.g. the predecessor of 5 is 4.")

(=>
   (equal (PredecessorFn ?INT1) (PredecessorFn ?INT2))
   (equal ?INT1 ?INT2))

(=>
   (instance ?INT Integer)
   (greaterThan ?INT (PredecessorFn ?INT)))

;(=>
;   (and
;      (instance ?INT1 Integer)
;      (instance ?INT2 Integer))
;   (not
;      (and
;         (lessThan ?INT2 ?INT1)
;         (lessThan (PredecessorFn ?INT1) ?INT2))))

(instance average PartialValuedRelation)
(instance average BinaryPredicate)
(instance average SingleValuedRelation)
(domain average 1 List)
(domain average 2 RealNumber)

(documentation average EnglishLanguage "A partial function that relates a &%List to a
&%RealNumber, provided that the &%List only has list elements that are
&%RealNumbers. The &%RealNumber associated with the &%List is equal to the
mathematical average of the &%RealNumbers in the &%List divided by the total
number of list elements.")

(=>
  (average ?LIST ?AVERAGE)
  (forall (?LISTITEM)
    (=>
      (inList ?LISTITEM ?LIST)
      (instance ?LISTITEM RealNumber))))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;     SET/CLASS THEORY      ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'STRUCTURAL ONTOLOGY'
;; INCLUDES 'BASE ONTOLOGY'

;; The following part of the ontology covers set-theoretic predicates
;; and functions.  Most of the content here is taken from the kif-sets
;; ontology (available on the Ontolingua server).

(subrelation subset subclass)
(instance subset BinaryPredicate)
(domain subset 1 Set)
(domain subset 2 Set)

(documentation subset EnglishLanguage "(subset ?SET1 ?SET2) is true just in case the
&%elements of the &%Set ?SET1 are also &%elements of the &%Set ?SET2.")

(=>
  (and
    (subset ?SUBSET ?SET)
    (element ?ELEMENT ?SUBSET))
  (element ?ELEMENT ?SET))

(=>
  (=>
    (element ?ELEMENT ?SUBSET)
    (element ?ELEMENT ?SET))
  (subset ?SUBSET ?SET))

(instance element BinaryPredicate)
(instance element AsymmetricRelation)
(subrelation element instance)
(domain element 1 Entity)
(domain element 2 Set)

(documentation element EnglishLanguage "(element ?ENTITY ?SET) is true just in case
?ENTITY is contained in the &%Set ?SET.  An &%Entity can be an &%element
of another &%Entity only if the latter is a &%Set.")

(=>
  (<=>
    (element ?ELEMENT ?SET1)
    (element ?ELEMENT ?SET2))
  (equal ?SET1 ?SET2))

(instance UnionFn BinaryFunction)
(instance UnionFn TotalValuedRelation)
(domain UnionFn 1 SetOrClass)
(domain UnionFn 2 SetOrClass)
(range UnionFn SetOrClass)

(documentation UnionFn EnglishLanguage "A &%BinaryFunction that maps two &%SetOrClasses to
the union of these &%SetOrClasses.  An object is an &%element of the union
of two &%SetOrClasses just in case it is an &%instance of either &%SetOrClass.")

;; TODO: this appears to be a contradiction in inference
;(<=>
;  (equal ?U (UnionFn ?C1 ?C2))
;  (forall (?I1 ?I2 ?I3)
;    (=>
;      (and
;        (instance ?I1 ?C1)
;        (instance ?I2 ?C2)
;        (instance ?I3 ?U))
;      (and
;        (instance ?I1 ?U)
;        (instance ?I2 ?U)
;        (or
;          (instance ?I3 ?C1)
;          (instance ?I3 ?C2))))))

(instance IntersectionFn BinaryFunction)
(instance IntersectionFn TotalValuedRelation)
(domain IntersectionFn 1 SetOrClass)
(domain IntersectionFn 2 SetOrClass)
(range IntersectionFn SetOrClass)

(documentation IntersectionFn EnglishLanguage "A &%BinaryFunction that maps two
&%SetOrClasses to the intersection of these &%SetOrClasses.  An object is
an instance of the intersection of two &%SetOrClasses just in case it is
an instance of both of those &%SetOrClasses.")

(instance RelativeComplementFn BinaryFunction)
(instance RelativeComplementFn TotalValuedRelation)
(domain RelativeComplementFn 1 SetOrClass)
(domain RelativeComplementFn 2 SetOrClass)
(range RelativeComplementFn SetOrClass)

(documentation RelativeComplementFn EnglishLanguage "A &%BinaryFunction that maps two
&%SetOrClasses to the difference between these &%SetOrClasses.  More
precisely, (&%RelativeComplementFn ?CLASS1 ?CLASS2) denotes the instances
of ?CLASS1 that are not also instances of ?CLASS2.")

(instance ComplementFn UnaryFunction)
(instance ComplementFn TotalValuedRelation)
(domain ComplementFn 1 SetOrClass)
(range ComplementFn SetOrClass)

(documentation ComplementFn EnglishLanguage "The complement of a given &%SetOrClass C is
the &%SetOrClass of all things that are not instances of C.  In other words, an
object is an instance of the complement of a &%SetOrClass C just in case it
is not an instance of C.")

(instance GeneralizedUnionFn UnaryFunction)
(instance GeneralizedUnionFn TotalValuedRelation)
(domainSubclass GeneralizedUnionFn 1 SetOrClass)
(range GeneralizedUnionFn SetOrClass)

(documentation GeneralizedUnionFn EnglishLanguage "A &%UnaryFunction that takes a
&%SetOrClass of &%Classes as its single argument and returns a &%SetOrClass which is the
merge of all of the &%Classes in the original &%SetOrClass, i.e. the &%SetOrClass
containing just those instances which are instances of an instance of the
original &%SetOrClass.")

(instance GeneralizedIntersectionFn UnaryFunction)
(instance GeneralizedIntersectionFn TotalValuedRelation)
(domainSubclass GeneralizedIntersectionFn 1 SetOrClass)
(range GeneralizedIntersectionFn SetOrClass)

(documentation GeneralizedIntersectionFn EnglishLanguage "A &%UnaryFunction that takes a
&%SetOrClass of &%Classes as its single argument and returns a &%SetOrClass which
is the intersection of all of the &%Classes in the original &%SetOrClass, i.e.
the &%SetOrClass containing just those instances which are instances of all
instances of the original &%SetOrClass.")

(instance CardinalityFn UnaryFunction)
(domain CardinalityFn 1 (UnionFn SetOrClass Collection))
(range CardinalityFn Integer)

(documentation CardinalityFn EnglishLanguage "(CardinalityFn ?CLASS) returns the
number of instances in the &%SetOrClass ?CLASS or the number of
members in the ?CLASS &%Collection.")

;; comment it out to avoid (instance SetOrClass SetOrClass)
(subclass NullSet Set)

(documentation NullSet EnglishLanguage "Any &%Set that contains no &%elements.")

(=>
   (instance ?SET NullSet)
   (not
     (exists (?INST)
       (element ?INST ?SET))))

;; comment it out to avoid (instance SetOrClass SetOrClass)
(subclass NonNullSet Set)

(documentation NonNullSet EnglishLanguage "Any &%Set that has at least one
&%element.")

(=>
   (instance ?SET NonNullSet)
   (exists (?INST)
     (element ?INST ?SET)))

(subclass FiniteSet Set)

(documentation FiniteSet EnglishLanguage "A &%Set containing a finite number of
elements.")

(=>
   (instance ?SET FiniteSet)
   (exists (?NUMBER)
      (and
         (instance ?NUMBER NonnegativeInteger)
         (equal ?NUMBER (CardinalityFn ?SET)))))

;; comment it out to avoid (instance SetOrClass SetOrClass)
; (subclass PairwiseDisjointClass SetOrClass)/
; (documentation PairwiseDisjointClass EnglishLanguage "A &%SetOrClass is a &%PairwiseDisjointClass just in case every instance of the &%SetOrClass is either &%equal to or &%disjoint from every other instance of the &%SetOrClass.")

;; (=>
;;    (instance ?SUPERCLASS PairwiseDisjointClass)
;;    (forall (?CLASS1 ?CLASS2)
;;       (=>
;;          (and
;;             (instance ?CLASS1 ?SUPERCLASS)
;;             (instance ?CLASS2 ?SUPERCLASS))
;;          (or
;;             (equal ?CLASS1 ?CLASS2)
;;             (disjoint ?CLASS1 ?CLASS2)))))

;; comment it out to avoid (instance SetOrClass SetOrClass)
; (subclass MutuallyDisjointClass SetOrClass)
; (documentation MutuallyDisjointClass EnglishLanguage "A &%SetOrClass is a &%MutuallyDisjointClass just in case there exists nothing which is an instance of all of the instances of the original &%SetOrClass.")

;; (=>
;;    (instance ?CLASS MutuallyDisjointClass)
;;    (forall (?INST1 ?INST2)
;;       (=>
;;          (and
;;             (instance ?INST1 ?CLASS)
;;             (instance ?INST2 ?INST1))
;;          (exists (?INST3)
;;             (and
;;                (instance ?INST3 ?CLASS)
;;                (not (instance ?INST2 ?INST3)))))))

(instance KappaFn BinaryFunction)
(instance KappaFn PartialValuedRelation)
(domain KappaFn 1 SymbolicString)
(domain KappaFn 2 Formula)
(range KappaFn Class)

(documentation KappaFn EnglishLanguage "A class-forming operator that takes two
arguments:  a variable and a formula containing at least one unbound
occurrence of the variable.  The result of applying &%KappaFn to a
variable and a formula is the &%Class of things that satisfy the formula.
For example, we can denote the &%Class of prime numbers that are less
than 100 with the following expression:  (KappaFn ?NUMBER
(and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100))).  Note that
the use of this function is discouraged, since there is currently no
axiomatic support for it.")

;; At some point we may be able to make use of 'KappaFn' by implementing a macro
;; that decomposes every occurrence of 'KappaFn' into a complex formula.  For
;; example the macro might replace every instance of Schema 1 with an instance
;; of Schema 2.
;;
;; Schema 1:  (KappaFn <variable> <formula>)
;;
;; Schema 2: (exists (?LIST)
;;             (and
;;               (instance ?LIST UniqueList)
;;               (forall (<variable>)
;;                 (<=>
;;                   (inList <variable> ?LIST)
;;                   <formula>))))
;;

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;
;;  GRAPH THEORY   ;;
;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'NUMERIC FUNCTIONS'

(subclass Graph Proposition)

(documentation Graph EnglishLanguage "The &%Class of graphs, where a graph is understood
to be a set of &%GraphNodes connected by &%GraphArcs.  Note that this
&%Class includes only connected graphs, i.e. graphs in which there is a
&%GraphPath between any two &%GraphNodes.  Note too that every &%Graph
is required to contain at least two &%GraphArcs and three &%GraphNodes.")

(=>
   (and
      (instance ?GRAPH Graph)
      (instance ?NODE1 GraphNode)
      (instance ?NODE2 GraphNode)
      (graphPart ?NODE1 ?GRAPH)
      (graphPart ?NODE2 ?GRAPH)
      (not (equal ?NODE1 ?NODE2)))
   (exists (?ARC ?PATH)
      (or
         (links ?NODE1 ?NODE2 ?ARC)
         (and
            (subGraph ?PATH ?GRAPH)
            (instance ?PATH GraphPath)
            (or
               (and
                  (equal (BeginNodeFn ?PATH) ?NODE1)
                  (equal (EndNodeFn ?PATH) ?NODE2))
               (and
                  (equal (BeginNodeFn ?PATH) ?NODE2)
                  (equal (EndNodeFn ?PATH) ?NODE1)))))))

(=>
   (instance ?GRAPH Graph)
   (exists (?NODE1 ?NODE2 ?NODE3 ?ARC1 ?ARC2)
      (and
         (graphPart ?NODE1 ?GRAPH)
         (graphPart ?NODE2 ?GRAPH)
         (graphPart ?NODE3 ?GRAPH)
         (graphPart ?ARC1 ?GRAPH)
         (graphPart ?ARC2 ?GRAPH)
         (links ?NODE1 ?NODE2 ?ARC1)
         (links ?NODE2 ?NODE3 ?ARC2)
         (not (equal ?NODE1 ?NODE2))
         (not (equal ?NODE2 ?NODE3))
         (not (equal ?NODE1 ?NODE3))
         (not (equal ?ARC1 ?ARC2)))))

(subclass DirectedGraph Graph)

(documentation DirectedGraph EnglishLanguage "The &%Class of directed graphs.  A
directed graph is a &%Graph in which all &%GraphArcs
have direction, i.e. every &%GraphArc has an initial node (see
&%InitialNodeFn) and a terminal node (see &%TerminalNodeFn).")

(=>
   (and
      (instance ?GRAPH DirectedGraph)
      (instance ?ARC GraphArc)
      (graphPart ?ARC ?GRAPH))
   (exists (?NODE1 ?NODE2)
      (and
         (equal (InitialNodeFn ?ARC) ?NODE1)
         (equal (TerminalNodeFn ?ARC) ?NODE2))))

(subclass Tree DirectedGraph)

(documentation Tree EnglishLanguage "A Tree is a &%DirectedGraph that has no
&%GraphLoops.")

(=>
  (instance ?GRAPH Tree)
  (not
    (exists (?LOOP)
      (and
        (instance ?LOOP GraphLoop)
        (graphPart ?LOOP ?GRAPH)))))

(=>
  (instance ?GRAPH Tree)
  (not
    (exists (?LOOP)
      (and
        (instance ?LOOP GraphCircuit)
        (graphPart ?LOOP ?GRAPH)))))

(=>
  (instance ?GRAPH Tree)
  (not
    (exists (?ARC1 ?ARC2 ?NODE)
      (and
        (graphPart ?ARC1 ?GRAPH)
        (graphPart ?ARC2 ?GRAPH)
        (graphPart ?NODE ?GRAPH)
        (equal (TerminalNodeFn ?ARC1) ?NODE)
        (equal (TerminalNodeFn ?ARC2) ?NODE)
        (not (equal ?ARC1 ?ARC2))))))

(subclass GraphPath DirectedGraph)

(documentation GraphPath EnglishLanguage "Informally, a single, directed route between
two &%GraphNodes in a &%Graph.  Formally, a &%DirectedGraph that is a
&%subGraph of the original &%Graph and such that no two &%GraphArcs in
the &%DirectedGraph have the same initial node (see &%InitialNodeFn) or
the same terminal node (see &%TerminalNodeFn).")

(=>
   (and
      (instance ?GRAPH GraphPath)
      (instance ?ARC GraphArc)
      (graphPart ?ARC ?GRAPH))
   (=>
      (equal (InitialNodeFn ?ARC) ?NODE)
      (not (exists (?OTHER)
         (and
            (equal (InitialNodeFn ?OTHER) ?NODE)
            (not (equal ?OTHER ?ARC)))))))

(=>
   (and
      (instance ?GRAPH GraphPath)
      (instance ?ARC GraphArc)
      (graphPart ?ARC ?GRAPH))
   (=>
      (equal (TerminalNodeFn ?ARC) ?NODE)
      (not (exists (?OTHER)
         (and
            (equal (TerminalNodeFn ?OTHER) ?NODE)
            (not (equal ?OTHER ?ARC)))))))

(subclass GraphCircuit GraphPath)

(documentation GraphCircuit EnglishLanguage "A &%GraphPath that begins (see
&%BeginNodeFn) and ends (see &%EndNodeFn) at the same
&%GraphNode.")

(=>
   (instance ?GRAPH GraphCircuit)
   (exists (?NODE)
      (and
         (equal (BeginNodeFn ?GRAPH) ?NODE)
         (equal (EndNodeFn ?GRAPH) ?NODE))))

(=>
  (and
    (equal (BeginNodeFn ?GRAPH) ?NODE)
    (equal (EndNodeFn ?GRAPH) ?NODE))
  (instance ?GRAPH GraphCircuit))

(subclass MultiGraph Graph)

(documentation MultiGraph EnglishLanguage "The &%Class of multigraphs.  A multigraph
is a &%Graph containing at least one pair of &%GraphNodes that are
connected by more than one &%GraphArc.")

(=>
  (instance ?GRAPH MultiGraph)
  (exists (?ARC1 ?ARC2 ?NODE1 ?NODE2)
    (and
      (graphPart ?ARC1 ?GRAPH)
      (graphPart ?ARC2 ?GRAPH)
      (graphPart ?NODE1 ?GRAPH)
      (graphPart ?NODE2 ?GRAPH)
      (links ?NODE1 ?NODE2 ?ARC1)
      (links ?NODE1 ?NODE2 ?ARC2)
      (not
        (equal ?ARC1 ?ARC2)))))

(=>
  (and
    (graphPart ?ARC1 ?GRAPH)
    (graphPart ?ARC2 ?GRAPH)
    (graphPart ?NODE1 ?GRAPH)
    (graphPart ?NODE2 ?GRAPH)
    (links ?NODE1 ?NODE2 ?ARC1)
    (links ?NODE1 ?NODE2 ?ARC2)
    (not (equal ?ARC1 ?ARC2)))
  (instance ?GRAPH MultiGraph))

(subclass PseudoGraph Graph)

(documentation PseudoGraph EnglishLanguage "The &%Class of pseudographs.  A pseudograph
is a &%Graph containing at least one &%GraphLoop.")

(=>
  (instance ?GRAPH PseudoGraph)
  (exists (?LOOP)
    (and
      (instance ?LOOP GraphLoop)
      (graphPart ?LOOP ?GRAPH))))

(=>
  (and
    (instance ?LOOP GraphLoop)
    (graphPart ?LOOP ?GRAPH))
  (instance ?GRAPH PseudoGraph))

(subclass GraphElement Proposition)
(partition GraphElement GraphNode GraphArc)

(documentation GraphElement EnglishLanguage "Noncompositional parts of &%Graphs.
These parts are restricted to &%GraphNodes and &%GraphArcs.")

(=>
   (instance ?PART GraphElement)
   (exists (?GRAPH)
      (and
         (instance ?GRAPH Graph)
         (graphPart ?PART ?GRAPH))))

(subclass GraphNode GraphElement)

(documentation GraphNode EnglishLanguage "&%Graphs are comprised of &%GraphNodes
and &%GraphArcs.  Every &%GraphNode is linked by a &%GraphArc.")

(=>
   (instance ?NODE GraphNode)
   (exists (?OTHER ?ARC)
      (links ?NODE ?OTHER ?ARC)))

(subclass GraphArc GraphElement)

(documentation GraphArc EnglishLanguage "&%Graphs are comprised of &%GraphNodes
and &%GraphArcs.  Every &%GraphArc links two &%GraphNodes.")

(=>
   (instance ?ARC GraphArc)
   (exists (?NODE1 ?NODE2)
      (links ?NODE1 ?NODE2 ?ARC)))

(subclass GraphLoop GraphArc)

(documentation GraphLoop EnglishLanguage "A &%GraphArc in which a &%GraphNode is
linked to itself.")

(=>
   (instance ?LOOP GraphLoop)
   (exists (?NODE)
      (links ?NODE ?NODE ?LOOP)))

(=>
  (links ?NODE ?NODE ?LOOP)
  (instance ?LOOP GraphLoop))

(=>
   (and
      (equal (InitialNodeFn ?ARC) ?NODE)
      (equal (TerminalNodeFn ?ARC) ?NODE))
   (instance ?ARC GraphLoop))

(instance links TernaryPredicate)
(domain links 1 GraphNode)
(domain links 2 GraphNode)
(domain links 3 GraphArc)

(documentation links EnglishLanguage "a &%TernaryPredicate that specifies the
&%GraphArc connecting two &%GraphNodes.")

(=>
   (links ?NODE1 ?NODE2 ?ARC)
   (links ?NODE2 ?NODE1 ?ARC))

(instance graphPart BinaryPredicate)
(instance graphPart AsymmetricRelation)
(instance graphPart TotalValuedRelation)
(instance graphPart IrreflexiveRelation)
(domain graphPart 1 GraphElement)
(domain graphPart 2 Graph)

(documentation graphPart EnglishLanguage "A basic relation for &%Graphs and their
parts.  (&%graphPart ?PART ?GRAPH) means that ?PART is a &%GraphArc
or &%GraphNode of the &%Graph ?GRAPH.")

(instance subGraph BinaryPredicate)
(instance subGraph ReflexiveRelation)
(instance subGraph TransitiveRelation)
(domain subGraph 1 Graph)
(domain subGraph 2 Graph)

(documentation subGraph EnglishLanguage "The relation between two &%Graphs when one
&%Graph is a part of the other. (&%subGraph ?GRAPH1 ?GRAPH2) means
that ?GRAPH1 is a part of ?GRAPH2.")

(=>
  (and
    (subGraph ?GRAPH1 ?GRAPH2)
    (graphPart ?ELEMENT ?GRAPH1))
  (graphPart ?ELEMENT ?GRAPH2))

(instance pathLength BinaryPredicate)
(domain pathLength 1 GraphPath)
(domain pathLength 2 PositiveInteger)

(documentation pathLength EnglishLanguage "A &%BinaryPredicate that specifies the
length (in number of &%GraphNodes) of a &%GraphPath.
(&%pathLength ?PATH ?NUMBER) means that there are ?NUMBER nodes in
the &%GraphPath ?PATH.")

(instance InitialNodeFn UnaryFunction)
(instance InitialNodeFn PartialValuedRelation)
(domain InitialNodeFn 1 GraphArc)
(range InitialNodeFn GraphNode)

(documentation InitialNodeFn EnglishLanguage "A &%UnaryFunction that maps a
&%GraphArc to the initial node of the &%GraphArc.  Note
that this is a partial function.  In particular, the function is
undefined for &%GraphArcs that are not part of a &%DirectedGraph.")

(instance TerminalNodeFn UnaryFunction)
(instance TerminalNodeFn PartialValuedRelation)
(domain TerminalNodeFn 1 GraphArc)
(range TerminalNodeFn GraphNode)

(documentation TerminalNodeFn EnglishLanguage "A &%UnaryFunction that maps a
&%GraphArc to the terminal node of the &%GraphArc.  Note that this
is a partial function.  In particular, the function is undefined
for &%GraphArcs that are not part of a &%DirectedGraph.")

(instance BeginNodeFn UnaryFunction)
(instance BeginNodeFn TotalValuedRelation)
(domain BeginNodeFn 1 GraphPath)
(range BeginNodeFn GraphNode)
(relatedInternalConcept BeginNodeFn InitialNodeFn)

(documentation BeginNodeFn EnglishLanguage "A &%UnaryFunction that maps a &%GraphPath
to the &%GraphNode that is the beginning of the &%GraphPath.  Note that,
unlike &%InitialNodeFn (which relates a &%GraphArc to a &%GraphNode),
&%BeginNodeFn is a total function - every &%GraphPath has a beginning.")

(instance EndNodeFn UnaryFunction)
(instance EndNodeFn TotalValuedRelation)
(domain EndNodeFn 1 GraphPath)
(range EndNodeFn GraphNode)
(relatedInternalConcept EndNodeFn TerminalNodeFn)

(documentation EndNodeFn EnglishLanguage "A &%UnaryFunction that maps a &%GraphPath
to the &%GraphNode that is the end of the &%GraphPath.  Note that, unlike
&%TerminalNodeFn (which relates a &%GraphArc to a &%GraphNode),
&%EndNodeFn is a total function - every &%GraphPath has a end.")

(instance arcWeight BinaryPredicate)
(instance arcWeight SingleValuedRelation)
(domain arcWeight 1 GraphArc)
(domain arcWeight 2 RealNumber)

(documentation arcWeight EnglishLanguage "This predicate indicates the value of a
&%GraphArc in a &%Graph.  This could map to the length of a road in
a road network or the flow rate of a pipe in a plumbing system.")

(instance PathWeightFn UnaryFunction)
(domain PathWeightFn 1 GraphPath)
(range PathWeightFn RealNumber)

(documentation PathWeightFn EnglishLanguage "A &%UnaryFunction that maps a
&%GraphPath to the sum of the &%arcWeights on the &%GraphArcs in
the &%GraphPath.")

(=>
   (and
      (equal (PathWeightFn ?PATH) ?SUM)
      (subGraph ?SUBPATH ?PATH)
      (graphPart ?ARC1 ?PATH)
      (arcWeight ?ARC1 ?NUMBER1)
      (forall (?ARC2)
         (=>
            (graphPart ?ARC2 ?PATH)
            (or
               (graphPart ?ARC2 ?SUBPATH)
               (equal ?ARC2 ?ARC1)))))
   (equal ?SUM (AdditionFn (PathWeightFn ?SUBPATH) ?NUMBER1)))

(=>
   (and
      (equal (PathWeightFn ?PATH) ?SUM)
      (graphPart ?ARC1 ?PATH)
      (graphPart ?ARC2 ?PATH)
      (arcWeight ?ARC1 ?NUMBER1)
      (arcWeight ?ARC2 ?NUMBER2)
      (forall (?ARC3)
         (=>
            (graphPart ?ARC3 ?PATH)
            (or
               (equal ?ARC3 ?ARC1)
               (equal ?ARC3 ?ARC2)))))
   (equal (PathWeightFn ?PATH) (AdditionFn ?NUMBER1 ?NUMBER2)))

(instance MinimalWeightedPathFn BinaryFunction)
(instance MinimalWeightedPathFn TotalValuedRelation)
(domain MinimalWeightedPathFn 1 GraphNode)
(domain MinimalWeightedPathFn 2 GraphNode)
(range MinimalWeightedPathFn GraphPath)

(documentation MinimalWeightedPathFn EnglishLanguage "This &%BinaryFunction assigns two
&%GraphNodes to the &%GraphPath with the smallest sum of weighted arcs
between the two &%GraphNodes.")

(=>
   (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
   (instance ?PATH (GraphPathFn ?NODE1 ?NODE2)))

(=>
   (and
      (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
      (equal (PathWeightFn ?PATH) ?NUMBER1))
   (forall (?PATH2)
      (=>
         (and
            (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2))
            (equal (PathWeightFn ?PATH2) ?NUMBER2))
         (greaterThanOrEqualTo ?NUMBER2 ?NUMBER1))))

(instance MaximalWeightedPathFn BinaryFunction)
(instance MaximalWeightedPathFn TotalValuedRelation)
(domain MaximalWeightedPathFn 1 GraphNode)
(domain MaximalWeightedPathFn 2 GraphNode)
(range MaximalWeightedPathFn GraphPath)

(documentation MaximalWeightedPathFn EnglishLanguage "This &%BinaryFunction assigns two
&%GraphNodes to the &%GraphPath with the largest sum of weighted arcs
between the two &%GraphNodes.")

(=>
   (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
   (instance ?PATH (GraphPathFn ?NODE1 ?NODE2)))

(=>
   (and
      (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
      (equal (PathWeightFn ?PATH) ?NUMBER1))
   (forall (?PATH2)
      (=>
         (and
            (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2))
            (equal (PathWeightFn ?PATH2) ?NUMBER2))
         (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))))

(instance GraphPathFn BinaryFunction)
(instance GraphPathFn TotalValuedRelation)
(domain GraphPathFn 1 GraphNode)
(domain GraphPathFn 2 GraphNode)
(rangeSubclass GraphPathFn GraphPath)

(documentation GraphPathFn EnglishLanguage "A &%BinaryFunction that maps two &%GraphNodes
to the &%Class of &%GraphPaths between those two nodes.  Note that the two
&%GraphNodes must belong to the same &%Graph.")

(=>
   (and
      (graphPart ?PATH ?GRAPH)
      (not (instance ?GRAPH DirectedGraph)))
   (<=>
      (instance ?PATH (GraphPathFn ?NODE1 ?NODE2))
      (instance ?PATH (GraphPathFn ?NODE2 ?NODE1))))

(instance CutSetFn UnaryFunction)
(domain CutSetFn 1 Graph)
(rangeSubclass CutSetFn GraphPath)

(documentation CutSetFn EnglishLanguage "A &%UnaryFunction that assigns a &%Graph the
&%Class of &%GraphPaths that partition the graph into two separate
graphs if cut.  There may be more than one cutset for a given graph.")

(instance MinimalCutSetFn UnaryFunction)
(domain MinimalCutSetFn 1 Graph)
(rangeSubclass MinimalCutSetFn GraphPath)
(relatedInternalConcept MinimalCutSetFn CutSetFn)

(documentation MinimalCutSetFn EnglishLanguage "A &%UnaryFunction that assigns a &%Graph
the &%Class of &%GraphPaths which comprise cutsets for the &%Graph and
which have the least number of &%GraphArcs.")

(=>
   (instance ?GRAPH Graph)
   (subclass (MinimalCutSetFn ?GRAPH) (CutSetFn ?GRAPH)))

(=>
   (equal (MinimalCutSetFn ?GRAPH) ?PATHCLASS)
   (exists (?NUMBER)
      (forall (?PATH)
         (=>
            (instance ?PATH ?PATHCLASS)
            (pathLength ?PATH ?NUMBER)))))

(not
  (exists (?PATH1 ?PATH2)
    (and
      (instance ?PATH1 (CutSetFn ?GRAPH))
      (instance ?PATH2 (MinimalCutSetFn ?GRAPH))
      (pathLength ?PATH1 ?NUMBER1)
      (pathLength ?PATH2 ?NUMBER2)
      (lessThan ?NUMBER1 ?NUMBER2))))

;; link the physical system to the abstract graph

(instance abstractCounterpart BinaryPredicate)
(domain abstractCounterpart 1 Abstract)
(domain abstractCounterpart 2 Physical)
(subrelation abstractCounterpart represents)

(documentation abstractCounterpart EnglishLanguage "(abstractCounterpart ?AB ?PHYS)
relates a &%Physical entity to an &%Abstract one which is an idealized
model in some dimension of the &%Physical entity.  For example, an
&%Abstract &%GraphNode could be stated to be the counterpart of an
actual &%Computer in a &%ComputerNetwork.")

(subclass PhysicalSystem Physical)

(documentation PhysicalSystem EnglishLanguage "&%PhysicalSystem is the class of complex
&%Physical things.  A &%PhysicalSystem may have one or more
corresponding abstract &%Graph representations.")

(instance subSystem BinaryPredicate)
(domain subSystem 1 PhysicalSystem)
(domain subSystem 2 PhysicalSystem)

(documentation subSystem EnglishLanguage "(&%subSystem ?SUB ?SYSTEM) means that the
&%PhysicalSystem ?SUB is a part of the &%PhysicalSystem ?SYSTEM.")

(instance systemPart BinaryPredicate)
(domain systemPart 1 Physical)
(domain systemPart 2 PhysicalSystem)

(documentation systemPart EnglishLanguage "(&%systemPart ?PART ?SYSTEM) means that
the &%Physical thing ?PART is a &%SystemElement in the &%PhysicalSystem
?SYSTEM.")

(=>
  (and
    (subSystem ?SUB ?SYSTEM)
    (systemPart ?PART ?SUB))
  (systemPart ?PART ?SYSTEM))

(instance graphMeasure BinaryPredicate)
(domain graphMeasure 1 Graph)
(domain graphMeasure 2 UnitOfMeasure)

(documentation graphMeasure EnglishLanguage "(graphMeasure ?GRAPH ?MEAS) fixes a
&%UnitOfMeasure that is used for the &%arcWeight of a given &%Graph.  Stating
such a relationship entails that the components of given graph are the
&%abstractCounterparts of sets of &%Physical &%Entity(ies).")

(=>
  (graphMeasure ?G ?M)
  (forall (?AC)
    (and
      (graphPart ?AC ?G)
      (exists (?PC)
        (abstractCounterpart ?AC ?PC)))))
        
(=>
  (and
    (graphMeasure ?G ?M)
    (instance ?AN GraphNode)
    (graphPart ?AN ?G)
    (graphPart ?AA ?G)
    (instance ?AA GraphArc)
    (abstractCounterpart ?AN ?PN)
    (abstractCounterpart ?AA ?PA)
    (arcWeight ?AA ?N))
  (measure ?PA
    (MeasureFn ?N ?M)))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;;;
;;  UNITS OF MEASURE   ;;
;;;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'NUMERIC FUNCTIONS'

;; This section was originally based on the relations in the Quantities
;; ontology (developed by ITBM-CNR) and the units of measure in the
;; "Standard Units" and "Standard Dimensions" ontologies on the Ontolingua
;; server.  This content has been extensively revised by Helena Sofia Pinto
;; of the Instituto Superior Tecnico in Portugal.  The sources for these
;; revisions were:
;; - Barry Taylor, NIST Special Publication 811, Guide for the Use of the
;;   International System of Units (SI), 1995.
;; - Encyclopaedia Britannica (on-line version at http://www.britannica.com)

(subclass UnitOfMeasure PhysicalQuantity)

(documentation UnitOfMeasure EnglishLanguage "A standard of measurement for some dimension.
For example, the &%Meter is a &%UnitOfMeasure for the dimension of length,
as is the &%Inch.  There is no intrinsic property of a &%UnitOfMeasure that
makes it primitive or fundamental, rather, a system of units (e.g.
&%SystemeInternationalUnit) defines a set of orthogonal dimensions and
assigns units for each.")

(subclass CompositeUnitOfMeasure UnitOfMeasure)
(subclass CompositeUnitOfMeasure FunctionQuantity)

(documentation CompositeUnitOfMeasure EnglishLanguage "Instances
of this &%Class are &%UnitsOfMeasure defined by the functional
composition of other units, each of which might be a
&%CompositeUnitOfMeasure or a &%NonCompositeUnitOfMeasure.")

(subclass NonCompositeUnitOfMeasure UnitOfMeasure)
(subclass NonCompositeUnitOfMeasure ConstantQuantity)

(documentation NonCompositeUnitOfMeasure EnglishLanguage "Instances of
this &%Class are &%UnitsOfMeasure that are applied to a single
dimension, and so are not intrinsically defined by the functional
composition of other units.")

(partition UnitOfMeasure CompositeUnitOfMeasure NonCompositeUnitOfMeasure)

(=>
  (and
    (instance ?QUANT (MeasureFn ?N ?UNIT))
    (instance ?UNIT CompositeUnitOfMeasure))
  (instance ?QUANT FunctionQuantity))

(=>
  (and
    (instance ?QUANT (MeasureFn ?N ?UNIT))
    (instance ?UNIT NonCompositeUnitOfMeasure))
  (instance ?QUANT ConstantQuantity))

(subclass SystemeInternationalUnit UnitOfMeasure)

(documentation SystemeInternationalUnit EnglishLanguage "The &%Class of Systeme
International (SI) units.")

(subclass LengthMeasure ConstantQuantity)

(documentation LengthMeasure EnglishLanguage "A &%subclass of
&%ConstantQuantity, instances of which are measures of length.")

(subclass UnitOfLength NonCompositeUnitOfMeasure)

(documentation UnitOfLength EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%LengthMeasure.")

(subclass MassMeasure ConstantQuantity)

(documentation MassMeasure EnglishLanguage "A &%subclass of
&%ConstantQuantity, instances of which are measures of the amount of
matter in an &%Object.")

(subclass UnitOfMass NonCompositeUnitOfMeasure)

(documentation UnitOfMass EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%MassMeasure, which denote the amount of matter in
&%PhysicalObjects.")


(subclass AreaMeasure FunctionQuantity)

(documentation AreaMeasure EnglishLanguage "Measures of the amount of space in two
dimensions.")

(subclass UnitOfArea CompositeUnitOfMeasure)

(documentation UnitOfArea EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%AreaMeasure.")

(subclass VolumeMeasure FunctionQuantity)

(documentation VolumeMeasure EnglishLanguage "Measures of the amount of space in three
dimensions.")

(subclass UnitOfVolume CompositeUnitOfMeasure)

(documentation UnitOfVolume EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%VolumeMeasure.")

(subclass TemperatureMeasure ConstantQuantity)

(documentation TemperatureMeasure EnglishLanguage "Measures of temperature.
In scientific circles, the temperature of something is understood as the
average velocity of the atoms or molecules that make up the thing.")

(subclass UnitOfTemperature NonCompositeUnitOfMeasure)

(documentation UnitOfTemperature EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%TemperatureMeasure.")

(subclass CurrencyMeasure ConstantQuantity)

(documentation CurrencyMeasure EnglishLanguage "Instances of this
&%subclass of &%ConstantQuantity are measures of &%monetaryValue
stated in terms of some &%UnitOfCurrency such as &%UnitedStatesDollar,
&%UnitedStatesCent, RMB, Lira, Yen, etc.")

(subclass UnitOfCurrency NonCompositeUnitOfMeasure)

(documentation UnitOfCurrency EnglishLanguage "Every instance of this &%Class is a
&%UnitOfMeasure that can be used with &%MeasureFn to form instances of &%CurrencyMeasure.")

(subclass AngleMeasure ConstantQuantity)

(documentation AngleMeasure EnglishLanguage "The value of an angle in a plane or in a
solid.")

(subclass UnitOfAngularMeasure NonCompositeUnitOfMeasure)

(documentation UnitOfAngularMeasure EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%AngleMeasure.")

(subclass PlaneAngleMeasure AngleMeasure)

(documentation PlaneAngleMeasure EnglishLanguage "The value of an angle in a plane.")

(subclass SolidAngleMeasure AngleMeasure)
(disjoint SolidAngleMeasure PlaneAngleMeasure)

(documentation SolidAngleMeasure EnglishLanguage "The value of an angle in a solid.")

(subclass UnitOfInformation NonCompositeUnitOfMeasure)

(documentation UnitOfInformation EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%InformationMeasure.")

(subclass UnitOfDuration NonCompositeUnitOfMeasure)

(documentation UnitOfDuration EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%TimeDuration.  Note that &%TimeDuration is a &%subclass
of &%TimeMeasure.")

(instance MeasureFn BinaryFunction)
(instance MeasureFn TotalValuedRelation)
(domain MeasureFn 1 RealNumber)
(domain MeasureFn 2 UnitOfMeasure)
(range MeasureFn PhysicalQuantity)

(documentation MeasureFn EnglishLanguage "This &%BinaryFunction maps a
&%RealNumber and a &%UnitOfMeasure to that &%Number of units.  It is
used to express `measured' instances of &%PhysicalQuantity.  Example:
the concept of three meters is represented as (&%MeasureFn 3
&%Meter).")

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfLength))
   (instance ?QUANT LengthMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfMass))
   (instance ?QUANT MassMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfArea))
   (instance ?QUANT AreaMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfVolume))
   (instance ?QUANT VolumeMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfTemperature))
   (instance ?QUANT TemperatureMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfCurrency))
   (instance ?QUANT CurrencyMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfAngularMeasure))
   (instance ?QUANT AngleMeasure))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfDuration))
   (instance ?QUANT TimeDuration))

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfInformation))
   (instance ?QUANT InformationMeasure))

; AP - this axiom below doesn't look right, what about functions that
; return unitless ratios

;(=>
;   (and
;      (instance ?REL RelationExtendedToQuantities)
;      (instance ?REL TernaryRelation)
;      (instance ?NUMBER1 RealNumber)
;      (instance ?NUMBER2 RealNumber)
;      (?REL ?NUMBER1 ?NUMBER2 ?VALUE))
;   (forall (?UNIT)
;      (=>
;         (instance ?UNIT UnitOfMeasure)
;         (?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT) (MeasureFn ?VALUE ?UNIT)))))

;(=>
;   (and
;      (instance ?REL RelationExtendedToQuantities)
;      (instance ?REL BinaryPredicate)
;      (instance ?NUMBER1 RealNumber)
;      (instance ?NUMBER2 RealNumber)
;      (?REL ?NUMBER1 ?NUMBER2))
;   (forall (?UNIT)
;      (=>
;         (instance ?UNIT UnitOfMeasure)
;         (?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT)))))

;(=>
;  (and
;    (instance ?REL RelationExtendedToQuantities)
;    (equal ?Q1 (MeasureFn ?I1 ?U))
;    (equal ?Q2 (MeasureFn ?I2 ?U))
;    (?REL ?I1 ?I2))
;  (?REL ?Q1 ?Q2))

(subclass UnitOfMeasureMultiplier UnaryFunction)
(subclass UnitOfMeasureMultiplier TotalValuedRelation)

(documentation UnitOfMeasureMultiplier EnglishLanguage "Each
&%instance of this &%Class is a &%UnaryFunction that, when evaluated
on its single argument, a &%UnitOfMeasure, produces another
&%UnitOfMeasure that is a numeric multiple of the argument.")

(=>
  (and
    (instance ?FUNCTION UnitOfMeasureMultiplier)
    (instance ?UNIT CompositeUnitOfMeasure))
  (instance (?FUNCTION ?UNIT) CompositeUnitOfMeasure))

(=>
  (and
    (instance ?FUNCTION UnitOfMeasureMultiplier)
    (instance ?UNIT NonCompositeUnitOfMeasure))
  (instance (?FUNCTION ?UNIT) NonCompositeUnitOfMeasure))

(instance KiloFn UnitOfMeasureMultiplier)
(domain KiloFn 1 UnitOfMeasure)
(range KiloFn UnitOfMeasure)

(documentation KiloFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to 1,000 units of the original &%UnitOfMeasure.
For example, (&%KiloFn &%Gram) is 1,000 &%Grams.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?KILOUNIT (KiloFn ?UNIT)))
  (equal (MeasureFn 1 ?KILOUNIT) (MeasureFn 1000 ?UNIT)))

(instance MegaFn UnitOfMeasureMultiplier)
(domain MegaFn 1 UnitOfMeasure)
(range MegaFn UnitOfMeasure)

(documentation MegaFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to 1,000,000 units of the original
&%UnitOfMeasure.  For example, (&%MegaFn &%Hertz) is 1,000,000 &%Hertz.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?MEGAUNIT (MegaFn ?UNIT)))
  (equal (MeasureFn 1 ?MEGAUNIT) (MeasureFn 1000000 ?UNIT)))

(instance GigaFn UnitOfMeasureMultiplier)
(domain GigaFn 1 UnitOfMeasure)
(range GigaFn UnitOfMeasure)

(documentation GigaFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to 1,000,000,000 units of the original
&%UnitOfMeasure.  For example, (&%GigaFn &%Hertz) is 1,000,000,000 &%Hertz.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?GIGAUNIT (GigaFn ?UNIT)))
  (equal (MeasureFn 1 ?GIGAUNIT) (MeasureFn 1000000 (KiloFn ?UNIT))))

(instance TeraFn UnitOfMeasureMultiplier)
(domain TeraFn 1 UnitOfMeasure)
(range TeraFn UnitOfMeasure)

(documentation TeraFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure
into a &%UnitOfMeasure that is equal to 1,000,000,000,000 units of the original
&%UnitOfMeasure.  For example, (&%TeraFn &%Hertz) is 1,000,000,000,000 &%Hertz.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?TERAUNIT (TeraFn ?UNIT)))
  (equal (MeasureFn 1 ?TERAUNIT) (MeasureFn 1000000000 (KiloFn ?UNIT))))

(instance MilliFn UnitOfMeasureMultiplier)
(domain MilliFn 1 UnitOfMeasure)
(range MilliFn UnitOfMeasure)

(documentation MilliFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to .001 units of the original &%UnitOfMeasure.
For example, (&%MilliFn &%Gram) is .001 &%Grams.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?MILLIUNIT (MilliFn ?UNIT)))
  (equal (MeasureFn 1 ?MILLIUNIT) (MeasureFn 0.001 ?UNIT)))

(instance MicroFn UnitOfMeasureMultiplier)
(domain MicroFn 1 UnitOfMeasure)
(range MicroFn UnitOfMeasure)

(documentation MicroFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to .000001 units of the original &%UnitOfMeasure.
For example, (&%MicroFn &%Meter) is .000001 &%Meters.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?MICROUNIT (MicroFn ?UNIT)))
  (equal (MeasureFn 1 ?MICROUNIT) (MeasureFn 0.000001 ?UNIT)))

(instance NanoFn UnitOfMeasureMultiplier)
(domain NanoFn 1 UnitOfMeasure)
(range NanoFn UnitOfMeasure)

(documentation NanoFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to .000000001 units of the original
&%UnitOfMeasure.  For example, (&%MicroFn &%SecondDuration) is .000000001
&%SecondDurations.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?NANOUNIT (NanoFn ?UNIT)))
  (equal (MeasureFn 1 ?NANOUNIT) (MeasureFn 0.000000001 ?UNIT)))

(instance PicoFn UnitOfMeasureMultiplier)
(domain PicoFn 1 UnitOfMeasure)
(range PicoFn UnitOfMeasure)

(documentation PicoFn EnglishLanguage "A &%UnaryFunction that maps a &%UnitOfMeasure into
a &%UnitOfMeasure that is equal to .000000000001 units of the original
&%UnitOfMeasure.  For example, (&%PicoFn &%SecondDuration) is .000000000001
&%SecondDurations.")

(=>
  (and
    (instance ?UNIT UnitOfMeasure)
    (equal ?PICOUNIT (PicoFn ?UNIT)))
  (equal (MeasureFn 1 ?PICOUNIT) (MeasureFn 0.000000000001 ?UNIT)))

(instance IntervalFn BinaryFunction)
(instance IntervalFn TotalValuedRelation)
(domain IntervalFn 1 ConstantQuantity)
(domain IntervalFn 2 ConstantQuantity)
(rangeSubclass IntervalFn ConstantQuantity)
(relatedInternalConcept IntervalFn RecurrentTimeIntervalFn)

(documentation IntervalFn EnglishLanguage "A &%BinaryFunction that
maps two instances of &%ConstantQuantity to the &%subclass of
&%ConstantQuantity that comprises the interval from the first
&%ConstantQuantity to the second &%ConstantQuantity.  For
example, (&%IntervalFn (&%MeasureFn 8 &%Meter) (&%MeasureFn 14 &%Meter))
would return the &%subclass of &%ConstantQuantity comprising quantities
between 8 and 14 meters in length.")

(=>
  (and
    (instance ?QUANTITY (IntervalFn ?FROM ?TO))
    (instance ?FROM ?CLASS)
    (instance ?TO ?CLASS))
  (instance ?QUANTITY ?CLASS))

;(<=>
;   (instance ?QUANTITY (IntervalFn (MeasureFn ?FROM ?U) (MeasureFn ?TO ?U))
;   (and
;        (greaterThanOrEqualTo ?QUANTITY ?FROM)
;        (lessThanOrEqualTo ?QUANTITY ?TO)))

(instance UnitFn UnaryFunction)
(instance UnitFn TotalValuedRelation)
(domain UnitFn 1 PhysicalQuantity)
(range UnitFn UnitOfMeasure)

(documentation UnitFn EnglishLanguage "&%UnitFn returns just the
&%UnitOfMeasure of a &%PhysicalQuantity with an associated
&%UnitOfMeasure and &%RealNumber magnitude.  For example, the unit of
the &%ConstantQuantity (&%MeasureFn 2 &%Kilometer) is the
&%UnitOfMeasure &%Kilometer.")

(=>
  (and
    (instance ?QUANT PhysicalQuantity)
    (instance ?UNIT UnitOfMeasure)
    (equal ?QUANT
      (MeasureFn ?NUMBER ?UNIT)))
  (equal (UnitFn ?QUANT) ?UNIT))

(instance PerFn BinaryFunction)
(instance PerFn TotalValuedRelation)
(domain PerFn 1 PhysicalQuantity)
(domain PerFn 2 PhysicalQuantity)

(range PerFn FunctionQuantity)

(documentation PerFn EnglishLanguage "&%PerFn maps two instances of &%PhysicalQuantity to
the &%FunctionQuantity composed of these two instances.  For example,
(&%PerFn (&%MeasureFn 2 (&%MicroFn &%Gram)) (&%MeasureFn 1 (&%KiloFn
&%Gram))) denotes the &%FunctionQuantity of 2 micrograms per kiogram.
This function is useful, because it allows the knowledge engineer to
dynamically generate instances of &%FunctionQuantity.")

(subrelation DensityFn PerFn)
(instance DensityFn TotalValuedRelation)
(instance DensityFn BinaryFunction)
(domain DensityFn 1 MassMeasure)
(domain DensityFn 2 VolumeMeasure)
(range DensityFn FunctionQuantity)

(documentation DensityFn EnglishLanguage "&%DensityFn maps an instance of &%MassMeasure
and an instance of &%VolumeMeasure to the density represented by this
proportion of mass and volume.  For example, (&%DensityFn (&%MeasureFn 3 &%Gram)
(&%MeasureFn 1 &%Liter)) represents the density of 3 grams per liter.")

(subrelation SpeedFn PerFn)
(instance SpeedFn TotalValuedRelation)
(instance SpeedFn BinaryFunction)
(domain SpeedFn 1 LengthMeasure)
(domain SpeedFn 2 TimeDuration)
(range SpeedFn FunctionQuantity)

(documentation SpeedFn EnglishLanguage "Maps an instance of &%LengthMeasure and an instance of
&%TimeDuration to the speed represented by this proportion of distance and time.
For example, (&%SpeedFn (&%MeasureFn 55 &%Mile)(&%MeasureFn 1 &%HourDuration))
represents the velocity of 55 miles per hour.")

(instance VelocityFn QuaternaryFunction)
(instance VelocityFn TotalValuedRelation)
(domain VelocityFn 1 LengthMeasure)
(domain VelocityFn 2 TimeDuration)
(domain VelocityFn 3 Region)
(domain VelocityFn 4 DirectionalAttribute)
(range VelocityFn FunctionQuantity)

(documentation VelocityFn EnglishLanguage "Specifies the velocity of an object, i.e. the speed
and the direction of the speed.  For example (&%VelocityFn (&%MeasureFn 55 &%Mile)
(&%MeasureFn 2 &%HourDuration) ?REFERENCE &%North) denotes the velocity of 55 miles
per hour North of the given reference point ?REFERENCE.")

(=>
   (measure ?OBJECT (VelocityFn ?DISTANCE ?TIME ?REF ?DIRECTION))
   (measure ?OBJECT (SpeedFn ?DISTANCE ?TIME)))

;; Now the units of measure:

;; First base units for the SI system. No conversion functions are
;; provided for these units.

;; Length Base Unit

(instance Meter UnitOfLength)
(instance Meter SystemeInternationalUnit)

(documentation Meter EnglishLanguage "SI &%UnitOfLength.  Symbol:  m. It is one of the
base units in SI, and it is currently defined as follows: the &%Meter
is the length of the path traveled by light in a vacuum during a time
interval of 1/299792458 of a &%SecondDuration.")

;; Mass Base Unit

(instance Gram UnitOfMass)
(instance Gram SystemeInternationalUnit)

(documentation Gram EnglishLanguage "Submultiple of kilogram.  Symbol: g.
1 kilogram = 1000 &%Grams.")

;; Time Base Unit

(instance SecondDuration UnitOfDuration)
(instance SecondDuration TimeDuration)
(instance SecondDuration SystemeInternationalUnit)

(documentation SecondDuration EnglishLanguage "SI &%UnitOfDuration.  Symbol: s.
It is one of the base units in SI, and it is currently defined as
follows: the &%SecondDuration is the duration of 9192631770 periods of
the radiation corresponding to the transition between the two hyperfine
levels of the ground state of the cesium 133 atom.")

;; Electric Current Base Unit

(instance Ampere CompositeUnitOfMeasure)
(instance Ampere SystemeInternationalUnit)

(documentation Ampere EnglishLanguage "SI electric current measure.  Symbol: s. It is
one of the base units in SI. It is defined as follows: the &%Ampere is
that constant current which, if maintained in two straight parallel
conductors of infinite length, of negligible circular cross-section, and
placed 1 &%Meter apart in a vacuum, would produce between these conductors
a force equal to 2*10^(-7) &%Newton per &%Meter of length.")

;; Thermodynamic Temperature Base Unit

(instance KelvinDegree UnitOfTemperature)
(instance KelvinDegree SystemeInternationalUnit)

(documentation KelvinDegree EnglishLanguage "SI &%UnitOfMeasure used
with &%MeasureFn to produce terms denoting instances of
&%TemperatureMeasure.  Symbol: K.  It is one of the base units in
SI (it is also a unit in the ITS system).  Kelvin differs from the
Celsius scale in that the triple point of water is defined to be
273.16 &%KelvinDegrees while it is 0 &%CelsiusDegrees.  The magnitudes
of intervals in the two scales are the same.  By definition the
conversion constant is 273.15.")

;; Amount Of Substance Base Unit

(instance Mole UnitOfMass)
(instance Mole SystemeInternationalUnit)

(documentation Mole EnglishLanguage "SI amount of substance
unit. symbol: mol. It is one of the base units in SI. It is defined as
follows: the &%Mole is the amount of substance of a system which
contains as many elementary entities as there are atoms in 0.012
&%Kilograms of carbon 12.  Note that, when this &%UnitOfMeasure is
used, the elementary entities must be specified - they may be atoms,
molecules, ions, electrons, etc. or groups of such particles.")

;; Luminosity Intensity Base Unit

(instance Candela CompositeUnitOfMeasure)
(instance Candela SystemeInternationalUnit)

(documentation Candela EnglishLanguage "SI luminosity intensity measure.  Symbol: cd.
It is one of the base units in SI, and it is currently defined as
follows:  the &%Candela is the luminous intensity, in a given direction,
of a source that emits monochromatic radiation of frequency 540*10^12
&%Hertz and that has a radiant intensity in that direction of 1/683
&%Watt per &%Steradian.")

(instance Liter UnitOfVolume)

(documentation Liter EnglishLanguage "Unit of volume in the metric
system.  It is currently defined to be equal to one cubic
decimeter (0.001 cubic meter).  Symbol: l.")

(instance Centimeter UnitOfLength)

(documentation Centimeter EnglishLanguage "Submultiple of &%Meter.  Symbol: cm. It is
the 100th part of a &%Meter")

(equal
  (MeasureFn ?NUMBER Centimeter)
  (MeasureFn (MultiplicationFn ?NUMBER 0.01) Meter))

(documentation Millimeter EnglishLanguage "Submultiple of Meter. Symbol: mm. A millimeter
is the 1000th part of a meter.")

(instance Millimeter UnitOfLength)

(equal
  (MeasureFn ?NUMBER Millimeter)
  (MeasureFn
    (MultiplicationFn ?NUMBER 0.001) Meter))

(instance Kilometer UnitOfLength)

(documentation Kilometer EnglishLanguage "Supermultiple of &%Meter. Symbol: km. A
&%Meter is the 1000th part of a &%Kilometer")

(equal
  (MeasureFn ?NUMBER Kilometer)
  (MeasureFn
    (MultiplicationFn ?NUMBER 1000) Meter))

;; What follows are derived SI units with special names and symbols
;; (multiples and submultiples are together since they represent
;; quantities of the same kind).

;; Plane angle unit

(instance Radian UnitOfAngularMeasure)
(instance Radian SystemeInternationalUnit)

(documentation Radian EnglishLanguage "SI plane angle measure.  Symbol: rad.  It is the
angle of a circle subtended by an arc equal in length to the circle's
radius. Another definition is:  the plane angle between two radii of a
circle which cut off on the circumference an arc equal in length to the
radius.  &%Radian = m/m = 1.")

;; Solid angle unit

(instance Steradian UnitOfAngularMeasure)
(instance Steradian SystemeInternationalUnit)

(documentation Steradian EnglishLanguage "SI solid angle measure.  Symbol: sr.  It is
the solid angle of a sphere subtended by a portion of the surface whose
area is equal to the square of the sphere's radius.  Another definition
is: the solid angle which, having its vertex in the center of the sphere,
cuts off an area of the surface of the sphere equal to that of a square
with sides of length equal to the radius of the sphere.  &%Steradian =
m^2/m^2 = 1.")

;; Frequency units

(subclass FrequencyMeasure TimeDependentQuantity)

(documentation FrequencyMeasure EnglishLanguage "A &%subclass of
&%TimeDependentQuantity, instances of which are measures of the
frequency with which some &%Process occurs.")

(subclass UnitOfFrequency CompositeUnitOfMeasure)

(documentation UnitOfFrequency EnglishLanguage "Every instance of this
&%Class is a &%UnitOfMeasure that can be used with &%MeasureFn to form
instances of &%FrequencyMeasure.")

(=>
   (and
      (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT)
      (instance ?UNIT UnitOfFrequency))
   (instance ?QUANT FrequencyMeasure))

(instance Hertz UnitOfFrequency)
(instance Hertz SystemeInternationalUnit)

(documentation Hertz EnglishLanguage "SI frequency measure.  Symbol: Hz. It is the
number of cycles per second.  &%Hertz = s^(-1).  Note that &%Hertz
does not have a conversion function.")

; Force Unit

(instance Newton CompositeUnitOfMeasure)
(instance Newton SystemeInternationalUnit)

(documentation Newton EnglishLanguage "SI force measure.  Symbol: N. It is that force
which gives to a mass of 1 kilogram an acceleration of 1 &%Meter per
&%SecondDuration.  &%Newton = m*kg*s^(-2).")

; Pressure unit

(instance Pascal CompositeUnitOfMeasure)
(instance Pascal SystemeInternationalUnit)

(documentation Pascal EnglishLanguage "SI pressure measure.  Symbol:Pa. It is the
pressure of one &%Newton per square &%Meter.  &%Pascal = N/m^2
= m^(-1)*kg*s^(-2).")

; Energy Unit

(instance Joule CompositeUnitOfMeasure)
(instance Joule SystemeInternationalUnit)

(documentation Joule EnglishLanguage "SI energy measure.  Symbol: J.  It is the work
done when the point of application of 1 &%Newton is displaced a distance
of 1 &%Meter in the direction of the force.  &%Joule = N*m =
m^2*kg*s^(-2).")

; Power Units

(instance Watt CompositeUnitOfMeasure)
(instance Watt SystemeInternationalUnit)

(documentation Watt EnglishLanguage "SI power measure.  Symbol: W.  A &%UnitOfMeasure
that measures power, i.e. energy produced or expended divided by
&%TimeDuration. It is the power which gives rise to the production
of energy (or work) at the rate of one &%Joule per &%SecondDuration.
&%Watt = J/s = m^2*kg*s^(-3).")

(instance Horsepower CompositeUnitOfMeasure)

(documentation Horsepower EnglishLanguage "A power measure that is equal to 746 &%Watts.")

(=>
  (instance ?N RealNumber)
  (equal
    (MeasureFn ?N Horsepower)
    (MeasureFn (MultiplicationFn ?N 746) Watt)))

;;; Note: According to SI one should not use the expression "per unit of."

; Electric Charge Units

(instance Coulomb CompositeUnitOfMeasure)
(instance Coulomb SystemeInternationalUnit)

(documentation Coulomb EnglishLanguage "SI electric charge measure.  Symbol: C. It is
the quantity of electric charge transported through a cross section of
a conductor in an electric circuit during each &%SecondDuration by a
current of 1 &%Ampere. &%Coulomb = s*A.")

(=>
  (equal ?QUANTITY (MeasureFn ?NUMBER Coulomb))
  (instance ?QUANTITY TimeDependentQuantity))

; Electric Potential Units

(instance Volt CompositeUnitOfMeasure)
(instance Volt SystemeInternationalUnit)

(documentation Volt EnglishLanguage "SI electric potential measure.  Symbol: V.  It is
the difference of electric potential between two points of a conducting
wire carrying a constant current of 1 &%Ampere, when the power dissipated
between these points is equal to 1 &%Watt.  &%Volt = W/A =
m^2*kg*s^(-3)*A^(-1).")

; Capacitance Units

(instance Farad CompositeUnitOfMeasure)
(instance Farad SystemeInternationalUnit)

(documentation Farad EnglishLanguage "SI capacitance measure.  Symbol: F.  It is the
capacitance of a capacitator between the plates of which there appears
a difference of potential of 1 &%Volt when it is charged by a quantity
of electricity equal to 1 Coulomb.  &%Farad = C/V =
m^(-2)*kg(-1)*s^4*A^2.")

;Electric Resistance Units

(instance Ohm CompositeUnitOfMeasure)
(instance Ohm SystemeInternationalUnit)

(documentation Ohm EnglishLanguage "SI electric resistance measure. It is the electric
resistance between two points of a conductor when a constant difference
of potential of 1 &%Volt, applied between these two points,
produces in this conductor a current of 1 &%Ampere, this conductor not
being the force of any electromotive force.  &%Ohm = V/A =
m^2*kg*s^(-3)*A^(-2).")

; Electric Conductance Units

(instance Siemens CompositeUnitOfMeasure)
(instance Siemens SystemeInternationalUnit)

(documentation Siemens EnglishLanguage "SI electric conductance measure.  Symbol:  S.
In the case of direct current, the conductance in &%Siemens is the
reciprocal of the resistance in &%Ohms, in the case of alternating current,
it is the reciprocal of the impedance in ohms.  siemens = A/V =
m^(-2)*kg(-1)*s^(3)*A^2.")

; Magnetic Flux Units

(instance Weber CompositeUnitOfMeasure)
(instance  Weber SystemeInternationalUnit)

(documentation Weber EnglishLanguage "SI magnetic flux measure.  Symbol: Wb. It is the
magnetic flux which, linking a circuit of one turn, produces in it an
electromotive force of 1 &%Volt as it is reduced to zero at a uniform
rate in 1 &%SecondDuration.  &%Weber = V*s = m^2*kg*s^(-2)*A^(-1)." )

; Magnetic Flux Density Units

(instance Tesla CompositeUnitOfMeasure)
(instance Tesla SystemeInternationalUnit)

(documentation Tesla EnglishLanguage "SI magnetic flux density measure.  Symbol:  T.
One &%Tesla equals one &%Weber per square &%Meter.  &%Tesla = Wb/m^2 =
kg*s^(-2)*A^(-1).")

; Inductance Units

(instance Henry CompositeUnitOfMeasure)
(instance Henry SystemeInternationalUnit)

(documentation Henry EnglishLanguage "SI inductance measure.  Symbol: H.  One &%Henry
is equivalent to one &%Volt divided by one &%Ampere per &%SecondDuration.
If a current changing at the rate of one &%Ampere per &%SecondDuration
induces an electromotive force of one &%Volt, the circuit has an
inductance of one &%Henry.  &%Henry = Wb/A = m^2*kg*s^(-2)*A^(-2).")

; Celsius Temperature unit

(instance CelsiusDegree UnitOfTemperature)
(instance CelsiusDegree SystemeInternationalUnit)

(documentation CelsiusDegree EnglishLanguage "A &%TemperatureMeasure.  The freezing point
and the boiling point of water are, respectively, 0 &%CelsiusDegrees and 100
&%CelsiusDegrees.")

(equal
  (MeasureFn ?NUMBER CelsiusDegree)
  (MeasureFn (SubtractionFn ?NUMBER 273.15) KelvinDegree))

(equal
  (MeasureFn ?NUMBER CelsiusDegree)
  (MeasureFn (DivisionFn (SubtractionFn ?NUMBER 32.0) 1.8) FahrenheitDegree))

; Luminous Flux Units

(instance Lumen CompositeUnitOfMeasure)
(instance Lumen SystemeInternationalUnit)

(documentation Lumen EnglishLanguage "SI luminous flux measure.  Symbol: lm.  It is the
amount streaming outward through one solid angle of 1 &%Steradian from a
uniform point source having an intensity of one &%Candela.  &%Lumen =
cd*sr = cd * 1.")

; Illuminance Units

(instance Lux CompositeUnitOfMeasure)
(instance Lux SystemeInternationalUnit)

(documentation Lux EnglishLanguage "SI illuminance measure.  Symbol: lx.  It is the
amount of illumination provided when one &%Lumen is evenly distributed
over an area of 1 square &%Meter. This is also equivalent to the
illumination that would exist on a surface all points of which are one
&%Meter from a point source of one &%Candela.  &%Lux = lm/m^2 =
m^(-2)*cd.")

; Activity Units

(instance Becquerel CompositeUnitOfMeasure)
(instance Becquerel SystemeInternationalUnit)

(documentation Becquerel EnglishLanguage "SI radioactivity measure.  Symbol: Bq.  It
measures the amount of radioactivity contained in a given sample of matter. It is
that quantity of a radioactive element in which there is one atomic
disintegration per &%SecondDuration.  &%Becquerel = s^(-1).")

(=>
  (equal ?QUANTITY (MeasureFn ?NUMBER Becquerel))
  (instance ?QUANTITY TimeDependentQuantity))

; Absorbed Dose Units

(instance Gray CompositeUnitOfMeasure)
(instance Gray SystemeInternationalUnit)

(documentation Gray EnglishLanguage "SI absorbed dose measure.  Symbol: Gy.  It measures
the dose of radiation absorbed in living tissue. It is equal approximately
to the absorbed dose delivered when the energy per unit mass imparted to
matter by ionizing radiation is 1 &%Joule per kilogram.  &%Gray = J/kg
= m^2*s^(-2).")

; Dose Equivalent Units

(instance Sievert CompositeUnitOfMeasure)
(instance Sievert SystemeInternationalUnit)

(documentation Sievert EnglishLanguage "SI dose equivalent measure.  Symbol: Sv.  It is
a unit of biologic dose of ionizing radiation.  The &%Sievert makes it
possible to normalize doses of different types of radiation. It takes
into account the relative biologic effectiveness of ionizing radiation,
since each form of such radiation--e.g., X rays, gamma rays, neutrons--
has a slightly different effect on living tissue for a given absorbed
dose. The dose equivalent of a given type of radiation (in &%Sievert) is
the dose of the radiation in &%Gray multiplied by a quality factor that
is based on the relative biologic effectiveness of the radiation.
Accordingly, one &%Sievert is generally defined as the amount of radiation
roughly equivalent in biologic effectiveness to one &%Gray of gamma
radiation.  &%Sievert = J/kg = m^2*s^(-2).")

; Units that are accepted for -use- with SI

(instance DayDuration UnitOfDuration)
(instance DayDuration TimeDuration)
(documentation DayDuration EnglishLanguage "Time unit. 1 day = 24 hours.")

(equal
  (MeasureFn ?NUMBER DayDuration)
  (MeasureFn (MultiplicationFn ?NUMBER 24) HourDuration))

(instance HourDuration UnitOfDuration)
(instance HourDuration TimeDuration)
(documentation HourDuration EnglishLanguage "Time unit. 1 hour = 60 minutes.")

(equal
  (MeasureFn ?NUMBER HourDuration)
  (MeasureFn (MultiplicationFn ?NUMBER 60) MinuteDuration))

(instance MinuteDuration UnitOfDuration)
(instance MinuteDuration TimeDuration)
(documentation MinuteDuration EnglishLanguage "Time unit. 1 minute = 60 seconds. ")

(equal
  (MeasureFn ?NUMBER MinuteDuration)
  (MeasureFn (MultiplicationFn ?NUMBER 60) SecondDuration))

(instance WeekDuration UnitOfDuration)
(instance WeekDuration TimeDuration)
(documentation WeekDuration EnglishLanguage "Time unit.  A week's duration is seven
days.")

(equal
  (MeasureFn 1 WeekDuration)
  (MeasureFn 7 DayDuration))

(instance MonthDuration UnitOfDuration)
(instance MonthDuration TimeDuration)
(documentation MonthDuration EnglishLanguage "Time unit.  A month's duration is at least
28 days, and no more than 31 days.  Note that this unit is a range, rather than
than an exact amount, unlike most other units.")

(=>
  (equal
    (MeasureFn 1 MonthDuration)
    (MeasureFn ?NUMBER DayDuration))
  (greaterThanOrEqualTo ?NUMBER 28))

(=>
  (equal
    (MeasureFn 1 MonthDuration)
    (MeasureFn ?NUMBER DayDuration))
  (lessThanOrEqualTo ?NUMBER 31))

(instance YearDuration UnitOfDuration)
(instance YearDuration TimeDuration)
(documentation YearDuration EnglishLanguage "Time unit. one calendar year. 1 year =
365 days = 31536000 seconds.")

(equal
  (MeasureFn 1 YearDuration)
  (MeasureFn 365 DayDuration))

;; What follows are units that are also accepted for use with SI.  The
;; SI equivalents for these units are obtained experimentally.

(instance Amu UnitOfMass)

(documentation Amu EnglishLanguage "Atomic mass unit.  Symbol: u. It is the mass of
the twelfth part of an atom of the Carbon 12 isotope.")

(equal
  (MeasureFn ?NUMBER Amu)
  (MeasureFn (MultiplicationFn ?NUMBER 1.6605402E-24) Gram))

(instance ElectronVolt CompositeUnitOfMeasure)

(documentation ElectronVolt EnglishLanguage "The &%ElectronVolt is an energy measure.
Symbol: eV.  It is the kinetic energy acquired by an electron in passing
through a potential difference of 1 &%Volt in a vacuum.")

(equal
  (MeasureFn ?NUMBER ElectronVolt)
  (MeasureFn (MultiplicationFn ?NUMBER 1.60217733E-19) Joule))

;; The following units have been temporarily accepted for use with
;; SI units.

(instance Angstrom UnitOfLength)

(documentation Angstrom EnglishLanguage "The &%Angstrom is a &%LengthMeasure.
1 &%Angstrom = 10^(-10) m")

(equal
  (MeasureFn ?NUMBER Angstrom)
  (MeasureFn (MultiplicationFn ?NUMBER 1.0E-10) Meter))

;; The following units are unacceptable in SI but are part of other
;; systems of measurement that are widely used.

;; More Length units

(instance FootLength UnitOfLength)

(documentation FootLength EnglishLanguage "English length unit of feet.")

(equal
  (MeasureFn ?NUMBER FootLength)
  (MeasureFn (MultiplicationFn ?NUMBER 0.3048) Meter))

(instance Inch UnitOfLength)
(documentation Inch EnglishLanguage "English length unit of inches.")

(equal
  (MeasureFn ?NUMBER Inch)
  (MeasureFn (MultiplicationFn ?NUMBER 0.0254) Meter))

(instance Mile UnitOfLength)
(documentation Mile EnglishLanguage "English length unit of miles.")

(equal
  (MeasureFn ?NUMBER Mile)
  (MeasureFn (MultiplicationFn ?NUMBER 1609.344) Meter))

;; More Volume units

(instance UnitedStatesGallon UnitOfVolume)
(relatedInternalConcept UnitedStatesGallon UnitedKingdomGallon)

(documentation UnitedStatesGallon EnglishLanguage "Unit of volume commonly used in the
United States.")

(equal
  (MeasureFn ?NUMBER UnitedStatesGallon)
  (MeasureFn (MultiplicationFn ?NUMBER 3.785411784) Liter))

(instance Quart UnitOfVolume)

(documentation Quart EnglishLanguage "English unit of volume equal to 1/4 of a
&%UnitedStatesGallon.")

(equal
  (MeasureFn ?NUMBER Quart)
  (MeasureFn (DivisionFn ?NUMBER 4) UnitedStatesGallon))

(instance Pint UnitOfVolume)

(documentation Pint EnglishLanguage "English unit of volume equal to 1/2 of a
&%Quart.")

(equal
  (MeasureFn ?NUMBER Pint)
  (MeasureFn (DivisionFn ?NUMBER 2) Quart))

(instance Cup UnitOfVolume)

(documentation Cup EnglishLanguage "English unit of volume equal to 1/2 of a
&%Pint.")

(equal
  (MeasureFn ?NUMBER Cup)
  (MeasureFn (DivisionFn ?NUMBER 2) Pint))

(instance Ounce UnitOfVolume)

(documentation Ounce EnglishLanguage "English unit of volume equal to 1/8 of a
&%Cup.")

(equal
  (MeasureFn ?NUMBER Ounce)
  (MeasureFn (DivisionFn ?NUMBER 8) Cup))

(instance UnitedKingdomGallon UnitOfVolume)

(documentation UnitedKingdomGallon EnglishLanguage "Unit of volume commonly used in the
United Kingdom.")

(equal
  (MeasureFn ?NUMBER UnitedKingdomGallon)
  (MeasureFn (MultiplicationFn ?NUMBER 4.54609) Liter))

;; More Mass units

(instance AtomGram UnitOfMass)

(documentation AtomGram EnglishLanguage "&%MassMeasure that is also known as the
gram-atom.
Defined as the mass in grams of 1 &%Mole of pure substance.  For example,
1 &%AtomGram of Carbon 12 will be 12 &%Gram of pure Carbon 12.  2 &%AtomGram
of the same substance will be 24 &%Gram of it.  This is an unusual unit in
that it is essentially 1 &%Mole of 'stuff' measured in grams, so that the
actual value (i.e. mass) depends on the type of substance.")

(documentation Kilogram EnglishLanguage "Supermultiple of &%Gram. Symbol: kg. 1
&%Kilogram = 1000 Grams.")

(instance Kilogram SystemeInternationalUnit)
(instance Kilogram UnitOfMass)

(equal
  (MeasureFn ?NUMBER Kilogram)
  (MeasureFn
    (MultiplicationFn ?NUMBER 1000) Gram))

(domain weight 1 SelfConnectedObject)
(domain weight 2 MassMeasure)
(instance weight BinaryPredicate)
(subrelation weight measure)

(documentation weight EnglishLanguage "(&%weight ?O ?MM) means that on planet earth
the &%SelfConnectedObject ?O has the weight ?MM.")

(instance PoundMass UnitOfMass)

(documentation PoundMass EnglishLanguage "English mass unit of pounds.")

(equal
  (MeasureFn ?NUMBER PoundMass)
  (MeasureFn (MultiplicationFn ?NUMBER 453.59237) Gram))

(instance Slug UnitOfMass)

(documentation Slug EnglishLanguage "English mass unit of slugs.")

(equal
  (MeasureFn ?NUMBER Slug)
  (MeasureFn (MultiplicationFn ?NUMBER 14593.90) Gram))

;; More Temperature units

(instance RankineDegree UnitOfTemperature)

(documentation RankineDegree EnglishLanguage "A &%TemperatureMeasure.  Note
that 0 &%RankineDegrees is the same as the absolute zero (i.e. 0
&%KelvinDegrees).")

(equal
  (MeasureFn ?NUMBER RankineDegree)
  (MeasureFn (MultiplicationFn ?NUMBER 1.8) KelvinDegree))

(instance FahrenheitDegree UnitOfTemperature)

(documentation FahrenheitDegree EnglishLanguage "A &%UnitOfTemperature that is commonly
used in the United States.  On the Fahrenheit scale, the freezing point
of water is 32 &%FahrenheitDegrees, and the boiling point of water is
212 &%FahrenheitDegrees.")

;; More Force units

(instance PoundForce CompositeUnitOfMeasure)

(documentation PoundForce EnglishLanguage "English pound of force. The conversion
factor depends on the local value of the acceleration of free fall. A mean value is used
in the conversion axiom associated with this constant.")

(equal
  (MeasureFn ?NUMBER PoundForce)
  (MeasureFn (MultiplicationFn ?NUMBER 4.448222) Newton))

;; More Energy units

(instance Calorie CompositeUnitOfMeasure)

(documentation Calorie EnglishLanguage "A &%Calorie is an energy measure.")

(equal
  (MeasureFn ?NUMBER Calorie)
  (MeasureFn (MultiplicationFn ?NUMBER 4.1868) Joule))

(instance BritishThermalUnit CompositeUnitOfMeasure)

(documentation BritishThermalUnit EnglishLanguage "An energy measure.")

(equal
  (MeasureFn ?NUMBER BritishThermalUnit)
  (MeasureFn (MultiplicationFn ?NUMBER 1055.05585262) Joule))

;; More plane angle units

(instance AngularDegree UnitOfAngularMeasure)

(documentation AngularDegree EnglishLanguage "A plane angle measure.")

(=>
  (equal ?QUANT (MeasureFn ?N AngularDegree))
  (instance ?QUANT PlaneAngleMeasure))

(equal
  (MeasureFn ?NUMBER AngularDegree)
  (MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180.0)) Radian))

(=>
   (measure ?ANGLE (MeasureFn ?NUMBER AngularDegree))
   (and
      (greaterThanOrEqualTo ?NUMBER 0.0)
      (lessThanOrEqualTo ?NUMBER 360.0)))

; TODO: how to make this work (equal (MeasureFn 0.0 AngularDegree) (MeasureFn 360.0 AngularDegree))

; Other interesting units of measure

; Currency units

(instance UnitedStatesDollar UnitOfCurrency)
(documentation UnitedStatesDollar EnglishLanguage "A currency measure.")

(instance UnitedStatesCent UnitOfCurrency)

(documentation UnitedStatesCent EnglishLanguage "A currency measure. 1 &%UnitedStatesCent
is equal to .01 &%UnitedStatesDollars.")

(equal
  (MeasureFn ?NUMBER UnitedStatesCent)
  (MeasureFn (MultiplicationFn ?NUMBER 0.01) UnitedStatesDollar))

(instance EuroDollar UnitOfCurrency)

(documentation EuroDollar EnglishLanguage "A currency measure of most European Union
countries.")

(instance EuroCent UnitOfCurrency)

(documentation EuroCent EnglishLanguage "A currency measure.  1 &%EuroCent is equal to .01
&%EuroDollars.")

(equal
  (MeasureFn ?NUMBER EuroCent)
  (MeasureFn (MultiplicationFn ?NUMBER 0.01) EuroDollar))

; Information units

(subclass InformationMeasure ConstantQuantity)

(documentation InformationMeasure EnglishLanguage "Measures of the amount of information.
Includes &%Bit, &%Byte, and multiples of these, e.g. &%KiloByte and
&%MegaByte.")

(instance Bit UnitOfInformation)

(documentation Bit EnglishLanguage "One &%Bit of information.  A one or a zero.")

(instance Byte UnitOfInformation)
(documentation Byte EnglishLanguage "One &%Byte of information.  A &%Byte is eight
&%Bits.")

(equal
  (MeasureFn ?NUMBER Byte)
  (MeasureFn (MultiplicationFn ?NUMBER 8) Bit))

(instance KiloByte UnitOfInformation)

(documentation KiloByte EnglishLanguage "One &%KiloByte (KB) of information.  One
&%KiloByte is 1024 &%Bytes.  Note that this sense of 'kilo' is
different from the one accepted in the SI system.")

(equal
  (MeasureFn ?NUMBER KiloByte)
  (MeasureFn (MultiplicationFn ?NUMBER 1024) Byte))

(instance MegaByte UnitOfInformation)

(documentation MegaByte EnglishLanguage "One &%MegaByte (MB) of information.  One
&%MegaByte is 1024 &%KiloBytes.  Note that this sense of 'mega' is
different from the one accepted in the SI system.")

(equal
  (MeasureFn ?NUMBER MegaByte)
  (MeasureFn (MultiplicationFn ?NUMBER 1024) KiloByte))

(subclass SoundPressureLevelUnit UnitOfMeasure)
(documentation SoundPressureLevelUnit EnglishLanguage "The &%Class of all
UnitOfMeasure that measure a sound pressure level.")
(termFormat EnglishLanguage SoundPressureLevelUnit "sound pressure level unit")

(instance Decibel SoundPressureLevelUnit)

(documentation Decibel EnglishLanguage "The decibel (symbol: dB) is a relative
unit of measurement equal to one tenth of a bel (B). It expresses the ratio of
two values of a power or root-power quantity on a logarithmic scale. Two signals
whose levels differ by one decibel have a power ratio of 101/10 (approximately
1.26) or root-power ratio of 101⁄20 (approximately 1.12).[from Wikipedia]")
(termFormat EnglishLanguage Decibel "decibel")
(termFormat EnglishLanguage Decibel "dB")

(instance DecibelA SoundPressureLevelUnit)

(documentation DecibelA EnglishLanguage "A-weighting is the most commonly used of a family of curves defined in the
International standard IEC 61672:2003 and various national standards relating to
the measurement of sound pressure level.[1] A-weighting is applied to
instrument-measured sound levels in an effort to account for the relative
loudness perceived by the human ear, as the ear is less sensitive to low audio
frequencies. It is employed by arithmetically adding a table of values, listed
by octave or third-octave bands, to the measured sound pressure levels in dB.
The resulting octave band measurements are usually added (logarithmic method) to
provide a single A-weighted value describing the sound; the units are written as
dB(A).[from Wikipedia]")
(termFormat EnglishLanguage Decibel "decibel (A-weighting)")
(termFormat EnglishLanguage Decibel "dB(A)")

; TBD, AP - something like
; (=>
;  (and
;    (instance ?AIR AtmosphericRegion)
;    (holdsDuring ?T
;      (and   
;        (measure ?AIR 
;          (MeasureFn ?X Decibel)))
;        (measure ?AIR ?Y)
;        (equal ?Y
;          (MultiplicationFn 20
;            (LogFn
;              (DivisionFn
;                (StandardDeviationFn <list of measurements of pressure>)
;                (MeasureFn 20 (MicroFn Pascal))))))))
;   (equal ?X ?Y))
;         
    
;; The following content was inspired by the Quantities ontology
;; developed by ITBM-CNR.

(instance measure BinaryPredicate)
(instance measure AsymmetricRelation)
(domain measure 1 Physical)
(domain measure 2 PhysicalQuantity)

(documentation measure EnglishLanguage "A very general &%Predicate for
asserting that a particular &%Physical is measured by a particular
&%PhysicalQuantity.  In general, the second argument of this
&%Predicate will be a term produced with the &%Function &%MeasureFn.")

(=>
  (and
    (instance ?P Process)
    (measure ?P ?Q))
  (instance ?Q TimeDependentQuantity))

(instance age SingleValuedRelation)
(subrelation age measure)
(instance age BinaryPredicate)
(domain age 2 TimeDuration)

(documentation age EnglishLanguage "Simply relates an &%Object to a &%ConstantQuantity
specifying the age of the &%Object.")

(=>
   (and
      (instance ?TIME TimePoint)
      (holdsDuring ?TIME (age ?OBJ ?DURATION)))
   (duration (TimeIntervalFn (BeginFn (WhenFn ?OBJ)) ?TIME) ?DURATION))

(subrelation linearExtent measure)
(instance linearExtent BinaryPredicate)
(domain linearExtent 2 LengthMeasure)

(documentation linearExtent EnglishLanguage "&%BinaryPredicate that is used to state the
measure of an &%Object from one point to another point along its surface.  Note
that the difference between the predicates &%length and &%distance is that
the &%length is used to state the &%LengthMeasure of one of the dimensions of
a single object, while &%distance is used to state the &%LengthMeasure that
separates two distinct objects.")

(instance width SingleValuedRelation)
(instance width BinaryPredicate)
(subrelation width linearExtent)

(documentation width EnglishLanguage "&%BinaryPredicate that is used to state the measure
of an &%Object from side to side at its widest span.")

(subrelation height linearExtent)
(instance height BinaryPredicate)
(domain height 1 SelfConnectedObject)
(domain height 2 LengthMeasure)

(documentation height EnglishLanguage "The height of an &%Object is the distance between
its &%top and its &%bottom.")

(instance length SingleValuedRelation)
(subrelation length linearExtent)
(instance length BinaryPredicate)

(documentation length EnglishLanguage "&%BinaryPredicate that is used to state the measure
of an &%Object along its longest span.")

(=>
  (length ?O
    (MeasureFn ?M ?U))
  (not
    (exists (?M2)
      (and
        (linearExtent ?O
          (MeasureFn ?M2 ?U))
	    (greaterThan ?M2 ?M)))))

(instance AmountsFn BinaryFunction)
(documentation AmountsFn EnglishLanguage "A &%List of all the 
&%MassMeasures of instances of a type of &%Substance found in
an &%Object.")
(domainSubclass AmountsFn 1 Substance)
(domain AmountsFn 2 CorpuscularObject)	
(domain AmountsFn 3 UnitOfMass)
(range AmountsFn List)

(=>
  (and
    (inList ?E ?L)
    (equal ?L
      (AmountsFn ?S ?CO ?U)))
  (instance ?E RationalNumber))

(instance amount TernaryPredicate)
(documentation amount EnglishLanguage "The &%MassMeasure of a type of &%Substance in
an &%Object.")
(domainSubclass amount 1 Substance)
(domain amount 2 CorpuscularObject)	
(domain amount 3 MassMeasure)

(=>
  (and
    (amount ?S ?CO 
      (MeasureFn ?N ?U))
    (instance ?SI ?S)
    (measure ?SI 
      (MeasureFn ?N2 ?U))
    (part ?SI ?CO))
  (exists (?L)
    (and
      (inList 
        (MeasureFn ?N2 ?U) ?L)
      (equal ?L 
        (AmountsFn ?S ?CO ?U))
      (equal ?N
        (ListSumFn ?L)))))
		
(subclass Oval ClosedTwoDimensionalFigure)

(documentation Oval EnglishLanguage "The class of &%ClosedTwoDimensionalFigures that are
produced by the intersection of a &%Cone with a &%ClosedTwoDimensionalFigure.")

(subclass Circle Oval)

(documentation Circle EnglishLanguage "The class of &%Ovals such that all
&%GeometricPoints that make up the &%Circle are equidistant from a single
&%GeometricPoint, known as the center of the &%Circle.")

(=>
  (instance ?C Circle)
  (exists (?R)
    (radius ?C ?R)))

(=>
  (instance ?C Circle)
  (exists (?P)
    (equal (CenterOfCircleFn ?C) ?P)))

(documentation CenterOfCircleFn EnglishLanguage "(CenterOfCircleFn ?CIRCLE) denotes the
&%GeometricPoint that is the center of the &%Circle ?CIRCLE.")

(instance CenterOfCircleFn UnaryFunction)
(instance CenterOfCircleFn TotalValuedRelation)
(domain CenterOfCircleFn 1 Circle)
(range CenterOfCircleFn GeometricPoint)

(instance radius BinaryPredicate)
(instance radius SingleValuedRelation)
(instance radius TotalValuedRelation)
(domain radius 1 Circle)
(domain radius 2 LengthMeasure)

(documentation radius EnglishLanguage "(&%radius ?CIRCLE ?LENGTH) means that the radius of
the &%Circle ?CIRCLE has a length of ?LENGTH.")

(=>
   (radius ?CIRCLE ?RADIUS)
   (exists (?POINT)
      (forall (?PART)
         (=>
            (pointOfFigure ?PART ?CIRCLE)
            (geometricDistance ?PART ?POINT ?RADIUS)))))

;(subrelation diameter width) causing domain of 1st argument inconsistency
(instance diameter BinaryPredicate)
(instance diameter SingleValuedRelation)
(instance diameter TotalValuedRelation)
(domain diameter 1 Circle)
(domain diameter 2 LengthMeasure)

(documentation diameter EnglishLanguage "(&%diameter ?CIRCLE ?LENGTH) means that the
diameter of the &%Circle ?CIRCLE has a length of ?LENGTH.")

(=>
  (diameter ?CIRCLE ?LENGTH)
  (exists (?NHALF ?UHALF)
    (and
      (radius ?CIRCLE (MeasureFn ?NHALF ?UHALF))
      (equal (MeasureFn (MultiplicationFn ?NHALF 2) ?UHALF) ?LENGTH))))

(instance distance SingleValuedRelation)
(instance distance SpatialRelation)
(instance distance TernaryPredicate)
(instance distance TotalValuedRelation)
(domain distance 1 Physical)
(domain distance 2 Physical)
(domain distance 3 LengthMeasure)

(documentation distance EnglishLanguage "(&%distance ?OBJ1 ?OBJ2 ?QUANT) means that the
shortest distance between the two objects ?OBJ1 and ?OBJ2 is ?QUANT.  Note
that the difference between the predicates &%length and &%distance is that
the &%length is used to state the &%LengthMeasure of one of the dimensions of
a single object, while &%distance is used to state the &%LengthMeasure that
separates two distinct objects.")

(=>
   (distance ?OBJ1 ?OBJ2 ?QUANT)
   (distance ?OBJ2 ?OBJ1 ?QUANT))

(=>
  (altitude ?OBJ1 ?OBJ2 ?Q)
  (distance ?OBJ1 ?OBJ2 ?Q))

(instance altitude SingleValuedRelation)
(instance altitude TernaryPredicate)
(instance altitude PartialValuedRelation)
(domain altitude 1 Physical)
(domain altitude 2 Physical)
(domain altitude 3 LengthMeasure)

(documentation altitude EnglishLanguage "A &%TernaryPredicate that is
used to state the &%distance between the &%top of an &%Object and
another point that is below the &%top of the &%Object (often this
other point will be sea level).  Note that this &%Predicate can be
used to specify, for example, the height of geographic features,
e.g. mountains, the altitude of aircraft, and the orbit of satellites
around the Earth.")

(=>
   (altitude ?OBJ1 ?OBJ2 ?HEIGHT)
   (orientation ?OBJ1 ?OBJ2 Above))

(=>
   (altitude ?OBJ1 ?OBJ2 ?HEIGHT)
   (exists (?TOP)
      (and
         (top ?TOP ?OBJ1)
         (distance ?TOP ?OBJ2 ?HEIGHT))))

(subrelation depth distance)
(instance depth SingleValuedRelation)
(instance depth TernaryPredicate)

(documentation depth EnglishLanguage "A &%TernaryPredicate that is
used to state the &%distance between the &%top of an &%Object and
another point that is above the &%top of the &%Object (often this
other point will be sea level).  Note that this &%Predicate can be
used to specify, for example, the depth of marine life or submarines,
for example.")

(=>
   (depth ?OBJ1 ?OBJ2 ?DEPTH)
   (orientation ?OBJ1 ?OBJ2 Below))

(=>
   (depth ?OBJ1 ?OBJ2 ?DEPTH)
   (exists (?BOTTOM)
      (and
         (bottom ?BOTTOM ?OBJ1)
         (distance ?BOTTOM ?OBJ2 ?DEPTH))))

(instance larger BinaryPredicate)
(instance larger SpatialRelation)
(instance larger TransitiveRelation)
(instance larger IrreflexiveRelation)
(instance larger TotalValuedRelation)
(domain larger 1 Object)
(domain larger 2 Object)

(documentation larger EnglishLanguage "(&%larger ?OBJ1 ?OBJ2) means that ?OBJ1 is
larger, with respect to all &%LengthMeasures, than ?OBJ2.")

(<=>
  (larger ?OBJ1 ?OBJ2)
  (forall (?QUANT1 ?QUANT2 ?UNIT)
    (=>
      (and
        (measure ?OBJ1 (MeasureFn ?QUANT1 ?UNIT))
        (measure ?OBJ2 (MeasureFn ?QUANT2 ?UNIT))
        (instance ?UNIT UnitOfLength))
      (greaterThan ?QUANT1 ?QUANT2))))

(instance smaller BinaryPredicate)
(instance smaller SpatialRelation)
(instance smaller TotalValuedRelation)
(instance smaller TransitiveRelation)
(instance smaller IrreflexiveRelation)
(domain smaller 1 Object)
(domain smaller 2 Object)
(inverse smaller larger)

(documentation smaller EnglishLanguage "(&%smaller ?OBJ1 ?OBJ2) means that ?OBJ1
is smaller, with respect to all &%LengthMeasures, than ?OBJ2.")

(instance monetaryValue SingleValuedRelation)
(instance monetaryValue AsymmetricRelation)
(instance monetaryValue BinaryPredicate)
(domain monetaryValue 1 Physical)
(domain monetaryValue 2 CurrencyMeasure)

(documentation monetaryValue EnglishLanguage "A &%BinaryPredicate that associates an
&%Object or &%Process with its value expressed as an instance of
&%CurrencyMeasure.")

(instance WealthFn UnaryFunction)
(instance WealthFn TotalValuedRelation)
(domain WealthFn 1 Agent)
(range WealthFn CurrencyMeasure)

(documentation WealthFn EnglishLanguage "A &%UnaryFunction that maps an &%Agent to a
&%CurrencyMeasure specifying the value of the property owned by the &%Agent.
Note that this &%Function is generally used in conjunction with the
&%Function &%PropertyFn, e.g. (&%WealthFn (&%PropertyFn BillGates)) would
return the monetary value of the sum of Bill Gates' holdings.")

(=>
  (equal
    (WealthFn ?PERSON) ?AMOUNT)
  (monetaryValue
    (PropertyFn ?PERSON) ?AMOUNT))

(=>
  (monetaryValue
    (PropertyFn ?PERSON) ?AMOUNT)
  (equal
    (WealthFn ?PERSON) ?AMOUNT))

(instance barometricPressure BinaryPredicate)
(instance barometricPressure AsymmetricRelation)
(subrelation barometricPressure measure)
(domain barometricPressure 1 Object)
(domain barometricPressure 2 PhysicalQuantity)

(documentation barometricPressure EnglishLanguage
"(&%barometricPressure ?AREA ?PRESSURE) means that the atmospheric
pressure measured at ?AREA is ?PRESSURE.  Barometric pressure is
typically expressed in units of &%InchMercury or &%MmMercury.  For
example, standard sea level pressure is 29.92 inches (760 mm) of mercury:
(&%barometricPressure &%SeaLevel (&%MeasureFn 29.92 &%InchMercury)).")

(subclass UnitOfAtmosphericPressure CompositeUnitOfMeasure)

(documentation UnitOfAtmosphericPressure EnglishLanguage "&%UnitOfAtmosphericPressure
includes those instances of &%UnitOfMeasure used to measure atmospheric pressure
(&%barometricPressure), e.g., &%InchMercury.")

(instance InchMercury UnitOfAtmosphericPressure)

(documentation InchMercury EnglishLanguage "&%InchMercury is a &%UnitOfMeasure
for &%barometricPressure.  It is used to express the number of
inches of mercury supported in a mercurial barometer by the
surrounding air pressure.")

(instance MmMercury UnitOfAtmosphericPressure)

(documentation MmMercury EnglishLanguage "&%MmMercury is a &%UnitOfMeasure
for &%barometricPressure.  It is used to express the number
of millimeters of mercury supported in a mercurial barometer
 by the surrounding air pressure.")

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;
;; TEMPORAL CONCEPTS ;;
;;;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'STRUCTURAL ONTOLOGY'
;; INCLUDES 'BASE ONTOLOGY'

;; The first part of this section contains definitions relations involving
;; temporal notions.  Most of these definitions and axioms were derived from
;; the work of James Allen.  This part of the section was extensively revised on
;; the basis of comments from Pat Hayes.  The second part of this section
;; is an attempt to incorporate the Simple-Time ontology from the
;; Ontolingua server into the SUMO.

(instance PositiveInfinity TimePoint)

(documentation PositiveInfinity EnglishLanguage "The &%TimePoint that is after
all other &%TimePoints.")

(=>
   (and
      (instance ?POINT TimePoint)
      (not (equal ?POINT PositiveInfinity)))
   (before ?POINT PositiveInfinity))

(=>
   (and
      (instance ?POINT TimePoint)
      (not (equal ?POINT PositiveInfinity)))
   (exists (?OTHERPOINT)
      (temporallyBetween ?POINT ?OTHERPOINT PositiveInfinity)))

(instance NegativeInfinity TimePoint)

(documentation NegativeInfinity EnglishLanguage "The &%TimePoint that is before
all other &%TimePoints.")

(=>
   (and
      (instance ?POINT TimePoint)
      (not (equal ?POINT NegativeInfinity)))
   (before NegativeInfinity ?POINT))

(=>
   (and
      (instance ?POINT TimePoint)
      (not (equal ?POINT NegativeInfinity)))
   (exists (?OTHERPOINT)
      (temporallyBetween NegativeInfinity ?OTHERPOINT ?POINT)))

(instance duration BinaryPredicate)
(instance duration TotalValuedRelation)
(domain duration 1 TimeInterval)
(domain duration 2 TimeDuration)

(documentation duration EnglishLanguage "(&%duration ?POS ?TIME) means that the
duration of the &%TimeInterval ?POS is ?TIME.  Note that this
&%Predicate can be used in conjunction with the &%Function &%WhenFn
to specify the duration of any instance of &%Physical.")

(instance frequency BinaryPredicate)
(domainSubclass frequency 1 Process)
(domain frequency 2 TimeDuration)

(documentation frequency EnglishLanguage "(&%frequency ?PROC ?TIME) means that the
&%Process type of ?PROC recurs after every interval of ?TIME.")

(=>
  (frequency ?PROC ?TIME1)
  (forall (?TIME2)
    (=>
      (duration ?TIME2 ?TIME1)
      (exists (?POSITION)
        (and
          (temporalPart ?POSITION ?TIME2)
          (holdsDuring ?POSITION
            (exists (?INST)
              (instance ?INST ?PROC))))))))

(instance temporalPart BinaryPredicate)
(instance temporalPart TemporalRelation)
(instance temporalPart PartialOrderingRelation)
(domain temporalPart 1 TimePosition)
(domain temporalPart 2 TimePosition)

(documentation temporalPart EnglishLanguage "The temporal analogue of the spatial &%part
predicate.  (&%temporalPart ?POS1 ?POS2) means that &%TimePosition ?POS1
is part of &%TimePosition ?POS2.  Note that since &%temporalPart is a
&%ReflexiveRelation every &%TimePostion is a &%temporalPart of itself.")

(=>
   (instance ?POINT TimePoint)
   (exists (?INTERVAL)
      (and
         (instance ?INTERVAL TimeInterval)
         (temporalPart ?POINT ?INTERVAL))))

(=>
   (instance ?INTERVAL TimeInterval)
   (exists (?POINT)
      (and
         (instance ?POINT TimePoint)
         (temporalPart ?POINT ?INTERVAL))))

(=>
   (and
      (holdsDuring ?TIME1 ?SITUATION)
      (temporalPart ?TIME2 ?TIME1))
   (holdsDuring ?TIME2 ?SITUATION))

(=>
   (and
      (holdsDuring ?INTERVAL (?REL ?INST1 ?INST2))
      (instance ?INST1 Physical)
      (instance ?INST2 Physical))
   (and
      (time ?INST1 ?INTERVAL)
      (time ?INST2 ?INTERVAL)))

(=>
  (temporalPart ?POS
    (WhenFn ?THING))
  (time ?THING ?POS))

(=>
  (time ?THING ?POS)
  (temporalPart ?POS
    (WhenFn ?THING)))

(instance BeginFn TemporalRelation)
(instance BeginFn UnaryFunction)
(instance BeginFn TotalValuedRelation)
(domain BeginFn 1 TimeInterval)
(range BeginFn TimePoint)

(documentation BeginFn EnglishLanguage "A &%UnaryFunction that maps a &%TimeInterval to
the &%TimePoint at which the interval begins.")

(=>
   (origin ?PROCESS ?OBJ)
   (eventLocated
     (WhereFn ?PROCESS
       (BeginFn
         (WhenFn ?PROCESS)))
     (WhereFn ?OBJ
       (BeginFn
         (WhenFn ?OBJ)))))

(=>
   (equal (BeginFn ?INTERVAL) ?POINT)
   (forall (?OTHERPOINT)
      (=>
         (and
            (temporalPart ?OTHERPOINT ?INTERVAL)
            (not (equal ?OTHERPOINT ?POINT)))
         (before ?POINT ?OTHERPOINT))))

(instance EndFn TemporalRelation)
(instance EndFn UnaryFunction)
(instance EndFn TotalValuedRelation)
(domain EndFn 1 TimeInterval)
(range EndFn TimePoint)

(documentation EndFn EnglishLanguage "A &%UnaryFunction that maps a &%TimeInterval to
the &%TimePoint at which the interval ends.")

(=>
   (equal (EndFn ?INTERVAL) ?POINT)
   (forall (?OTHERPOINT)
      (=>
         (and
            (temporalPart ?OTHERPOINT ?INTERVAL)
            (not (equal ?OTHERPOINT ?POINT)))
         (before ?OTHERPOINT ?POINT))))

(=>
     (and
          (resource ?PROC ?OBJ)
          (holdsDuring (BeginFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT1))
          (holdsDuring (EndFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT2)))
     (greaterThan ?QUANT1 ?QUANT2))

(subrelation starts temporalPart)
(instance starts TemporalRelation)
(instance starts TransitiveRelation)
(instance starts IrreflexiveRelation)
(instance starts TotalValuedRelation)
(domain starts 1 TimeInterval)
(domain starts 2 TimeInterval)

(documentation starts EnglishLanguage "(&%starts ?INTERVAL1 ?INTERVAL2) means that
?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same
initial &%TimePoint and that ?INTERVAL1 ends before ?INTERVAL2.")

(=>
  (starts ?INTERVAL1 ?INTERVAL2)
  (and
    (equal
      (BeginFn ?INTERVAL1)
      (BeginFn ?INTERVAL2))
    (before
      (EndFn ?INTERVAL1)
      (EndFn ?INTERVAL2))))

(=>
  (and
    (equal
      (BeginFn ?INTERVAL1)
      (BeginFn ?INTERVAL2))
    (before
      (EndFn ?INTERVAL1)
      (EndFn ?INTERVAL2)))
  (starts ?INTERVAL1 ?INTERVAL2))

(subrelation finishes temporalPart)
(instance finishes TemporalRelation)
(instance finishes TransitiveRelation)
(instance finishes IrreflexiveRelation)
(instance finishes TotalValuedRelation)
(domain finishes 1 TimeInterval)
(domain finishes 2 TimeInterval)

(documentation finishes EnglishLanguage "(&%finishes ?INTERVAL1 ?INTERVAL2) means that
?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same
ending &%TimePoint and that ?INTERVAL2 begins before ?INTERVAL1.")

(=>
   (finishes ?INTERVAL1 ?INTERVAL2)
   (and
      (before
         (BeginFn ?INTERVAL2)
         (BeginFn ?INTERVAL1))
      (equal
         (EndFn ?INTERVAL2)
         (EndFn ?INTERVAL1))))

(=>
   (and
      (before
         (BeginFn ?INTERVAL2)
         (BeginFn ?INTERVAL1))
      (equal
         (EndFn ?INTERVAL2)
         (EndFn ?INTERVAL1)))
   (finishes ?INTERVAL1 ?INTERVAL2))

(instance before TemporalRelation)
(instance before IrreflexiveRelation)
(instance before TransitiveRelation)
(subrelation before beforeOrEqual)
(relatedInternalConcept before earlier)
(domain before 1 TimePoint)
(domain before 2 TimePoint)

(documentation before EnglishLanguage "(&%before ?POINT1 ?POINT2) means that ?POINT1
precedes ?POINT2 on the universal timeline.")

;; An Object exists (and, hence, retains its identity) over time, i.e.,
;; an object exists at every point over some interval of time.

(=>
    (instance ?OBJ Object)
    (exists (?TIME1 ?TIME2)
       (and
          (instance ?TIME1 TimePoint)
          (instance ?TIME2 TimePoint)
          (before ?TIME1 ?TIME2)
          (forall (?TIME)
             (=>
               (and
                 (beforeOrEqual ?TIME1 ?TIME)
                 (beforeOrEqual ?TIME ?TIME2))
               (time ?OBJ ?TIME))))))

(=>
   (result ?PROC ?OBJ)
   (forall (?TIME)
      (=>
         (before ?TIME (BeginFn (WhenFn ?PROC)))
         (not
            (time ?OBJ ?TIME)))))

(=>
   (instance ?INTERVAL TimeInterval)
   (before (BeginFn ?INTERVAL) (EndFn ?INTERVAL)))

(instance beforeOrEqual BinaryPredicate)
(instance beforeOrEqual TemporalRelation)
(instance beforeOrEqual PartialOrderingRelation)
(domain beforeOrEqual 1 TimePoint)
(domain beforeOrEqual 2 TimePoint)

(documentation beforeOrEqual EnglishLanguage "(&%beforeOrEqual ?POINT1 ?POINT2) means that
?POINT1 is identical with ?POINT2 or occurs before it on the universal timeline.")

(=>
  (beforeOrEqual ?POINT1 ?POINT2)
  (or
    (before ?POINT1 ?POINT2)
    (equal ?POINT1 ?POINT2)))

(=>
  (or
    (before ?POINT1 ?POINT2)
    (equal ?POINT1 ?POINT2))
  (beforeOrEqual ?POINT1 ?POINT2))

(instance temporallyBetween TemporalRelation)
(instance temporallyBetween TernaryPredicate)
(instance temporallyBetween PartialValuedRelation)
(subrelation temporallyBetween temporallyBetweenOrEqual)
(domain temporallyBetween 1 TimePoint)
(domain temporallyBetween 2 TimePoint)
(domain temporallyBetween 3 TimePoint)

(documentation temporallyBetween EnglishLanguage "(&%temporallyBetween ?POINT1 ?POINT2
?POINT3) means that the &%TimePoint ?POINT2 is between the &%TimePoints
?POINT1 and ?POINT3, i.e. ?POINT1 is before ?POINT2 and ?POINT2 is before
?POINT3.")

(=>
  (temporallyBetween ?POINT1 ?POINT2 ?POINT3)
  (and
    (before ?POINT1 ?POINT2)
    (before ?POINT2 ?POINT3)))

(=>
  (and
    (before ?POINT1 ?POINT2)
    (before ?POINT2 ?POINT3))
  (temporallyBetween ?POINT1 ?POINT2 ?POINT3))

(instance temporallyBetweenOrEqual TemporalRelation)
(instance temporallyBetweenOrEqual TernaryPredicate)
(instance temporallyBetweenOrEqual PartialValuedRelation)
(domain temporallyBetweenOrEqual 1 TimePoint)
(domain temporallyBetweenOrEqual 2 TimePoint)
(domain temporallyBetweenOrEqual 3 TimePoint)

(documentation temporallyBetweenOrEqual EnglishLanguage "(&%temporallyBetweenOrEqual
?POINT1 ?POINT2 ?POINT3) means that the &%TimePoint ?POINT1 is before or equal to the
&%TimePoint ?POINT2 and ?POINT2 is before or equal to the &%TimePoint
?POINT3.")

(=>
  (temporallyBetweenOrEqual ?POINT1 ?POINT2 ?POINT3)
  (and
    (beforeOrEqual ?POINT1 ?POINT2)
    (beforeOrEqual ?POINT2 ?POINT3)))

(=>
  (and
    (beforeOrEqual ?POINT1 ?POINT2)
    (beforeOrEqual ?POINT2 ?POINT3))
  (temporallyBetweenOrEqual ?POINT1 ?POINT2 ?POINT3))

(=>
   (and
      (time ?PHYS ?TIME)
      (instance ?TIME TimePoint))
   (temporallyBetweenOrEqual (BeginFn (WhenFn ?PHYS)) ?TIME (EndFn (WhenFn ?PHYS))))

(=>
  (temporallyBetweenOrEqual
    (BeginFn
      (WhenFn ?PHYS))
    ?TIME
    (EndFn
      (WhenFn ?PHYS)))
  (and
    (time ?PHYS ?TIME)
    (instance ?TIME TimePoint)))

(instance overlapsTemporally BinaryPredicate)
(instance overlapsTemporally TemporalRelation)
(instance overlapsTemporally ReflexiveRelation)
(instance overlapsTemporally SymmetricRelation)
(domain overlapsTemporally 1 TimeInterval)
(domain overlapsTemporally 2 TimeInterval)

(documentation overlapsTemporally EnglishLanguage "(&%overlapsTemporally ?INTERVAL1
?INTERVAL2) means that the &%TimeIntervals ?INTERVAL1 and ?INTERVAL2
have a &%TimeInterval as a common part.")

(=>
  (overlapsTemporally ?INTERVAL1 ?INTERVAL2)
  (exists (?INTERVAL3)
    (and
      (instance ?INTERVAL3 TimeInterval)
      (temporalPart ?INTERVAL3 ?INTERVAL1)
      (temporalPart ?INTERVAL3 ?INTERVAL2))))

(=>
  (and
    (instance ?INTERVAL3 TimeInterval)
    (temporalPart ?INTERVAL3 ?INTERVAL1)
    (temporalPart ?INTERVAL3 ?INTERVAL2))
  (overlapsTemporally ?INTERVAL1 ?INTERVAL2))

(=>
   (and
      (instance ?REL BinaryPredicate)
      (instance ?REL SpatialRelation)
      (?REL ?OBJ1 ?OBJ2))
   (overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2)))

(=>
  (during ?SMALL ?BIG)
  (temporalPart ?SMALL ?BIG))

(=>
  (and
    (instance ?TI TimeInterval)
    (equal ?S (BeginFn ?TI))
    (equal ?E (EndFn ?TI)))
  (before ?S ?E))

(=>
  (and
    (instance ?TI1 TimeInterval)
    (instance ?TI2 TimeInterval)
    (beforeOrEqual
      (BeginFn ?TI2)
      (BeginFn ?TI1))
    (before
      (BeginFn ?TI1)
      (EndFn ?TI2)))
  (overlapsTemporally ?TI2 ?TI1))

(=>
  (and
    (earlier ?TI1 ?TI2)
    (instance ?P1 TimePoint)
    (instance ?P2 TimePoint)
    (temporalPart ?P1 ?TI1)
    (temporalPart ?P2 ?TI2))
  (before ?P1 ?P2))

(=>
  (overlapsTemporally ?INTERVAL1 ?INTERVAL2)
  (exists (?INTERVAL3)
    (and
      (instance ?INTERVAL3 TimePosition)
      (temporalPart ?INTERVAL3 ?INTERVAL1)
      (temporalPart ?INTERVAL3 ?INTERVAL2))))

(=>
  (and
    (instance ?INTERVAL3 TimePosition)
    (temporalPart ?INTERVAL3 ?INTERVAL1)
    (temporalPart ?INTERVAL3 ?INTERVAL2))
  (overlapsTemporally ?INTERVAL1 ?INTERVAL2))

(instance during TransitiveRelation)
(instance during BinaryPredicate)
(instance during IrreflexiveRelation)
; (subrelation during overlapsTemporally)
(domain during 1 TimeInterval)
(domain during 2 TimeInterval)

(documentation during EnglishLanguage "(&%during ?INTERVAL1 ?INTERVAL2) means that
?INTERVAL1 starts after and ends before ?INTERVAL2.")

(=>
   (during ?INTERVAL1 ?INTERVAL2)
   (and
      (before (EndFn ?INTERVAL1) (EndFn ?INTERVAL2))
      (before (BeginFn ?INTERVAL2) (BeginFn ?INTERVAL1))))

(instance meetsTemporally BinaryPredicate)
(instance meetsTemporally TemporalRelation)
(instance meetsTemporally AsymmetricRelation)
(instance meetsTemporally IntransitiveRelation)
(instance meetsTemporally TotalValuedRelation)
(domain meetsTemporally 1 TimeInterval)
(domain meetsTemporally 2 TimeInterval)

(documentation meetsTemporally EnglishLanguage "(&%meetsTemporally ?INTERVAL1 ?INTERVAL2)
means that the terminal point of the &%TimeInterval ?INTERVAL1 is the
initial point of the &%TimeInterval ?INTERVAL2.")

(=>
   (meetsTemporally ?INTERVAL1 ?INTERVAL2)
   (equal
      (EndFn ?INTERVAL1)
      (BeginFn ?INTERVAL2)))

(=>
   (equal
      (EndFn ?INTERVAL1)
      (BeginFn ?INTERVAL2))
   (meetsTemporally ?INTERVAL1 ?INTERVAL2))

(=>
  (meetsTemporally ?T1 ?T2)
  (not
    (exists (?T3)
      (and
        (instance ?T3 TimeInterval)
        (temporalPart ?T3 ?T1)
        (temporalPart ?T3 ?T2)))))

(=>
  (and
    (instance ?INTERVAL1 TimeInterval)
    (instance ?INTERVAL2 TimeInterval)
    (equal
      (BeginFn ?INTERVAL1)
      (BeginFn ?INTERVAL2))
    (equal
      (EndFn ?INTERVAL1)
      (EndFn ?INTERVAL2)))
  (equal ?INTERVAL1 ?INTERVAL2))

(instance earlier BinaryPredicate)
(instance earlier TemporalRelation)
(instance earlier TransitiveRelation)
(instance earlier IrreflexiveRelation)
(instance earlier TotalValuedRelation)
(domain earlier 1 TimeInterval)
(domain earlier 2 TimeInterval)

(documentation earlier EnglishLanguage "(&%earlier ?INTERVAL1 ?INTERVAL2) means that
the &%TimeInterval ?INTERVAL1 ends before the &%TimeInterval ?INTERVAL2
begins.")

(=>
  (earlier ?INTERVAL1 ?INTERVAL2)
  (before (EndFn ?INTERVAL1) (BeginFn ?INTERVAL2)))

(=>
  (before (EndFn ?INTERVAL1) (BeginFn ?INTERVAL2))
  (earlier ?INTERVAL1 ?INTERVAL2))

(instance cooccur BinaryPredicate)
(instance cooccur TemporalRelation)
(instance cooccur EquivalenceRelation)
(domain cooccur 1 Physical)
(domain cooccur 2 Physical)

(documentation cooccur EnglishLanguage "(&%cooccur ?THING1 ?THING2) means that the
&%Object or &%Process ?THING1 occurs at the same time as, together with,
or jointly with the &%Object or &%Process ?THING2.  This covers the
following temporal relations:  is co-incident with, is concurrent with,
is contemporaneous with, and is concomitant with.")

(=>
   (cooccur ?PHYS1 ?PHYS2)
   (equal (WhenFn ?PHYS1) (WhenFn ?PHYS2)))

(=>
   (equal (WhenFn ?PHYS1) (WhenFn ?PHYS2))
   (cooccur ?PHYS1 ?PHYS2))

;; The following functions generate &%TimeIntervals.

(instance TimeIntervalFn BinaryFunction)
(instance TimeIntervalFn TemporalRelation)
(instance TimeIntervalFn PartialValuedRelation)
(domain TimeIntervalFn 1 TimePoint)
(domain TimeIntervalFn 2 TimePoint)
(range TimeIntervalFn TimeInterval)

(documentation TimeIntervalFn EnglishLanguage "A &%BinaryFunction that takes two
&%TimePoints as arguments and returns the &%TimeInterval defined by these two
&%TimePoints.Note that the first &%TimePoint must occur earlier than the second
&%TimePoint.")

(=>
   (and
      (instance ?POINT1 TimePoint)
      (instance ?POINT2 TimePoint)
      (instance ?INTERVAL TimeInterval)
      (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL))
   (and
      (equal (BeginFn ?INTERVAL) ?POINT1)
      (equal (EndFn ?INTERVAL) ?POINT2)))

(=>
   (and
      (instance ?POINT1 TimePoint)
      (instance ?POINT2 TimePoint)
      (instance ?INTERVAL TimeInterval)
      (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL))
   (forall (?POINT)
      (<=>
         (temporallyBetweenOrEqual ?POINT1 ?POINT ?POINT2)
         (temporalPart ?POINT ?INTERVAL))))

(instance RecurrentTimeIntervalFn TemporalRelation)
(instance RecurrentTimeIntervalFn BinaryFunction)
(instance RecurrentTimeIntervalFn PartialValuedRelation)
(domainSubclass RecurrentTimeIntervalFn 1 TimeInterval)
(domainSubclass RecurrentTimeIntervalFn 2 TimeInterval)
(rangeSubclass RecurrentTimeIntervalFn TimeInterval)

(documentation RecurrentTimeIntervalFn EnglishLanguage "A function that is useful for
generating recurring time intervals.  For example, (&%RecurrentTimeIntervalFn (&%HourFn 6
&%Day)(&%HourFn 12 &%Day)) returns the &%Class of &%TimeIntervals beginning at 6 in the
morning and ending at 12 noon.  For another example, (&%RecurrentTimeInterval
&%Saturday &%Sunday) returns the &%Class of all weekends.  For still another example,
(&%RecurrentTimeInterval &%June &%August) returns the &%Class containing the academic
summer period.")

(=>
   (instance ?INTERVAL (RecurrentTimeIntervalFn ?TIMECLASS1 ?TIMECLASS2))
   (exists (?TIME1 ?TIME2)
      (and
         (instance ?TIME1 ?TIMECLASS1)
         (instance ?TIME2 ?TIMECLASS2)
         (starts ?TIME1 ?INTERVAL)
         (finishes ?TIME2 ?INTERVAL))))

(instance WhenFn TemporalRelation)
(instance WhenFn UnaryFunction)
(instance WhenFn TotalValuedRelation)
(domain WhenFn 1 Physical)
(range WhenFn TimeInterval)

(documentation WhenFn EnglishLanguage "A &%UnaryFunction that maps an &%Object or
&%Process to the exact &%TimeInterval during which it exists.  Note
that, for every &%TimePoint ?TIME outside of the &%TimeInterval
(WhenFn ?THING), (time ?THING ?TIME) does not hold.")

(instance PastFn TemporalRelation)
(instance PastFn UnaryFunction)
(instance PastFn TotalValuedRelation)
(domain PastFn 1 TimePosition)
(range PastFn TimeInterval)

(documentation PastFn EnglishLanguage "A &%UnaryFunction that maps a &%TimePosition
to the &%TimeInterval that meets it and that begins at
&%NegativeInfinity.")

(=>
   (instance ?INTERVAL TimeInterval)
   (meetsTemporally (PastFn ?INTERVAL) ?INTERVAL))

(=>
   (instance ?INTERVAL TimeInterval)
   (equal (PastFn ?INTERVAL) (TimeIntervalFn NegativeInfinity (BeginFn ?INTERVAL))))

(instance ImmediatePastFn TemporalRelation)
(instance ImmediatePastFn UnaryFunction)
(instance ImmediatePastFn TotalValuedRelation)
(domain ImmediatePastFn 1 TimePosition)
(range ImmediatePastFn TimeInterval)

(documentation ImmediatePastFn EnglishLanguage "A &%UnaryFunction that maps a
&%TimePosition to a short, indeterminate &%TimeInterval that
immediately precedes the &%TimePosition.")

(=>
   (instance ?INTERVAL TimeInterval)
   (finishes (ImmediatePastFn ?INTERVAL) (PastFn ?INTERVAL)))

(instance FutureFn TemporalRelation)
(instance FutureFn UnaryFunction)
(instance FutureFn TotalValuedRelation)
(domain FutureFn 1 TimePosition)
(range FutureFn TimeInterval)

(documentation FutureFn EnglishLanguage "A &%UnaryFunction that maps a &%TimePosition
to the &%TimeInterval which it meets and which ends at &%PositiveInfinity.")

(=>
   (instance ?INTERVAL TimeInterval)
   (meetsTemporally ?INTERVAL (FutureFn ?INTERVAL)))

(=>
   (instance ?INTERVAL TimeInterval)
   (equal (FutureFn ?INTERVAL) (TimeIntervalFn (EndFn ?INTERVAL) PositiveInfinity)))

(instance ImmediateFutureFn TemporalRelation)
(instance ImmediateFutureFn UnaryFunction)
(instance ImmediateFutureFn TotalValuedRelation)
(domain ImmediateFutureFn 1 TimePosition)
(range ImmediateFutureFn TimeInterval)

(documentation ImmediateFutureFn EnglishLanguage "A &%UnaryFunction that maps a
&%TimePosition to a short, indeterminate &%TimeInterval that
immediately follows the &%TimePosition.")

(=>
   (instance ?INTERVAL TimeInterval)
   (starts (ImmediateFutureFn ?INTERVAL) (FutureFn ?INTERVAL)))

;; The following definitions and axioms (down to the next section break)
;; cover the content in the Simple-Time ontology on the Ontolingua server.

(instance date BinaryPredicate)
(instance date SingleValuedRelation)
(domain date 1 Physical)
(domain date 2 Day)
(subrelation date time)

(documentation date EnglishLanguage "A &%BinaryPredicate that specifies a
&%TimePosition in absolute calendar time, at the resolution
of one day, for a particular &%Object or &%Process.")

(instance YearFn TemporalRelation)
(instance YearFn UnaryFunction)
(instance YearFn TotalValuedRelation)
(domain YearFn 1 Integer)
(rangeSubclass YearFn Year)

(documentation YearFn EnglishLanguage "A &%UnaryFunction that maps a number to the
corresponding calendar &%Year.  For example, (&%YearFn 1912) returns the &%Class
containing just one instance, the year of 1912.  As might be expected, positive integers
return years in the Common Era, while negative integers return years in B.C.E.  Note that
this function returns a &%Class as a value.  The reason for this is that the related
functions, viz. &%MonthFn, &%DayFn, &%HourFn, &%MinuteFn, and &%SecondFn, are used to
generate both specific &%TimeIntervals and recurrent intervals, and the only way to do
this is to make the domains and ranges of these functions classes rather than
individuals.")

(instance MonthFn TemporalRelation)
(instance MonthFn BinaryFunction)
(instance MonthFn PartialValuedRelation)
(domainSubclass MonthFn 1 Month)
(domainSubclass MonthFn 2 Year)
(rangeSubclass MonthFn Month)

(documentation MonthFn EnglishLanguage "A &%BinaryFunction that maps a subclass of &%Month
and a subclass of &%Year to the class containing the &%Month corresponding to that
&%Year. For example (&%MonthFn &%August (&%YearFn 1912)) is the class containing the
eighth &%Month, i.e. August, of the &%Year 1912.  For another example, (&%MonthFn &%August
&%Year) is equal to &%August, the class of all months of August.  Note that this function
returns a &%Class as a value.  The reason for this is that the related functions, viz.
DayFn, HourFn, MinuteFn, and SecondFn, are used to generate both specific &%TimeIntervals
and recurrent intervals, and the only way to do this is to make the domains and ranges of
these functions classes rather than individuals.")

(instance DayFn TemporalRelation)
(instance DayFn BinaryFunction)
(instance DayFn PartialValuedRelation)
(domain DayFn 1 PositiveInteger)
(domainSubclass DayFn 2 Month)
(rangeSubclass DayFn Day)

(documentation DayFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Months to the &%Days within each &%Month
corresponding to that &%PositiveRealNumber.  For example, (&%DayFn 16 &%August) is the
&%Class of all sixteenth days of August.  For another example, (&%DayFn 9 &%Month) would
return the class of all ninth days of any month.  For still another example, (&%DayFn 18
(&%MonthFn &%August (&%YearFn 1912))) denotes the 18th day of August 1912.")

(=>
   (instance ?DAY (DayFn ?NUMBER ?MONTH))
   (lessThanOrEqualTo ?NUMBER 31))

(=>
   (and
      (instance ?DAY1 (DayFn ?NUMBER1 ?MONTH))
      (instance ?DAY2 (DayFn ?NUMBER2 ?MONTH))
      (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1))
   (meetsTemporally ?DAY1 ?DAY2))

(instance HourFn TemporalRelation)
(instance HourFn BinaryFunction)
(instance HourFn PartialValuedRelation)
(domain HourFn 1 NonnegativeInteger)
(domainSubclass HourFn 2 Day)
(rangeSubclass HourFn Hour)

(documentation HourFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Days to the &%Hours within each &%Day
corresponding to that &%NonnegativeInteger.  For example, (&%HourFn 12 &%Thursday) is the
&%Class of all instances of noon Thursday.  For another example, (&%HourFn 0 &%Day) would
return the class of all instances of midnight.  For still another example, (&%HourFn 14
(&%DayFn 18 (&%MonthFn &%August (&%YearFn 1912)))) denotes 2 PM on the 18th day of
August 1912.")

(=>
   (instance ?HOUR (HourFn ?NUMBER ?DAY))
   (lessThan ?NUMBER 24))

(=>
   (and
      (instance ?HOUR1 (HourFn ?NUMBER1 ?DAY))
      (instance ?HOUR2 (HourFn ?NUMBER2 ?DAY))
      (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1))
   (meetsTemporally ?HOUR1 ?HOUR2))

(instance MinuteFn TemporalRelation)
(instance MinuteFn BinaryFunction)
(instance MinuteFn PartialValuedRelation)
(domain MinuteFn 1 NonnegativeInteger)
(domainSubclass MinuteFn 2 Hour)
(rangeSubclass MinuteFn Minute)

(documentation MinuteFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Hours to the &%Minutes within each &%Hour
corresponding to that &%NonnegativeInteger.  For example,
(&%MinuteFn 30 (&%HourFn 17 &%Day)) is the &%Class
of all 5:30's in the afternoon.  For another example, (&%MinuteFn 15 &%Hour) would return
the class of all instances of quarter past the hour.  For still another example,
(&%MinuteFn 15 (&%HourFn 14 (&%DayFn 18 (&%MonthFn &%August (&%YearFn 1912))))) denotes
15 minutes after 2 PM on the 18th day of August 1912.")

(=>
   (instance ?MINUTE (MinuteFn ?NUMBER ?HOUR))
   (lessThan ?NUMBER 60))

(=>
   (and
      (instance ?MINUTE1 (MinuteFn ?NUMBER1 ?HOUR))
      (instance ?MINUTE2 (MinuteFn ?NUMBER2 ?HOUR))
      (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1))
   (meetsTemporally ?MINUTE1 ?MINUTE2))

(instance SecondFn TemporalRelation)
(instance SecondFn BinaryFunction)
(instance SecondFn PartialValuedRelation)
(domain SecondFn 1 PositiveInteger)
(domainSubclass SecondFn 2 Minute)
(rangeSubclass SecondFn Second)

(documentation SecondFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Minutes to the &%Seconds within each &%Minute
corresponding to that &%PositiveRealNumber.  For example, (&%SecondFn 4 (&%MinuteFn 5
&%Hour)) is the &%Class of all fourth &%Seconds of every fifth &%Minute of every hour.
For another example, (&%SecondFn 8 &%Minute) would return the eighth second of every
minute.  For still another example, (&%SecondFn 9 (&%MinuteFn 15 (&%HourFn 14 (&%DayFn 18
(&%MonthFn &%August (&%YearFn 1912)))))) denotes 9 seconds and 15 minutes after 2 PM on
the 18th day of August 1912.")

(=>
   (instance ?SECOND (SecondFn ?NUMBER ?MINUTE))
   (lessThan ?NUMBER 60))

(=>
   (and
      (instance ?SECOND1 (SecondFn ?NUMBER1 ?MINUTE))
      (instance ?SECOND2 (SecondFn ?NUMBER2 ?MINUTE))
      (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1))
   (meetsTemporally ?SECOND1 ?SECOND2))

(=>
  (and
    (instance ?Y1 (YearFn ?N1))
    (instance ?Y2 (YearFn ?N2))
    (equal ?T1 (BeginFn ?Y1))
    (equal ?T2 (BeginFn ?Y2))
    (greaterThan ?N2 ?N1))
  (before ?T1 ?T2))

(=>
  (and
    (instance ?Y1 (YearFn ?N1))
    (instance ?Y2 (YearFn ?N2))
    (greaterThan ?N2 ?N1))
  (earlier ?Y1 ?Y2))

(=>
  (and
    (instance ?M1 (MonthFn ?N1 (YearFn ?Y)))
    (instance ?M2 (MonthFn ?N2 (YearFn ?Y)))
    (equal ?T1 (BeginFn ?M1))
    (equal ?T2 (BeginFn ?M2))
    (successorClass ?N1 ?N2))
  (before ?T1 ?T2))

(=>
  (and
    (instance ?M1 (MonthFn ?N1 (YearFn ?Y)))
    (instance ?M2 (MonthFn ?N2 (YearFn ?Y)))
    (successorClass ?N1 ?N2))
  (earlier ?M1 ?M2))

(=>
  (and
    (instance ?D1 (DayFn ?N1 (MonthFn ?M (YearFn ?Y))))
    (instance ?D2 (DayFn ?N2 (MonthFn ?M (YearFn ?Y))))
    (equal ?T1 (BeginFn ?D1))
    (equal ?T2 (BeginFn ?D2))
    (greaterThan ?N2 ?N1))
  (before ?T1 ?T2))

(=>
  (and
    (instance ?D1 (DayFn ?N1 (MonthFn ?M (YearFn ?Y))))
    (instance ?D2 (DayFn ?N2 (MonthFn ?M (YearFn ?Y))))
    (greaterThan ?N2 ?N1))
  (earlier ?D1 ?D2))

(subclass Year TimeInterval)
(relatedInternalConcept Year YearFn)
(relatedInternalConcept Year YearDuration)

(documentation Year EnglishLanguage "The &%Class of all calendar &%Years.")

(=>
   (instance ?YEAR Year)
   (duration ?YEAR (MeasureFn 1 YearDuration)))

(=>
   (and
     (instance ?Y1 (YearFn ?N1))
     (instance ?Y2 (YearFn ?N2))
     (equal (SubtractionFn ?N2 ?N1) 1))
   (meetsTemporally ?Y1 ?Y2))

(instance DecadeDuration UnitOfDuration)
(instance DecadeDuration TimeDuration)
(documentation DecadeDuration EnglishLanguage "The &%TimeDuration of 10 years.")

(=>
   (equal ?NUMBER (MultiplicationFn 1 ?NUMBER))
   (equal
        (MeasureFn ?NUMBER DecadeDuration)
        (MeasureFn (MultiplicationFn ?NUMBER 10) YearDuration)))

(subclass Decade TimeInterval)
(relatedInternalConcept Decade DecadeDuration)

(documentation Decade EnglishLanguage "The &%Class of all calendar &%Decades.")

(=>
   (instance ?D Decade)
   (duration ?D (MeasureFn 1 DecadeDuration)))

(=>
   (instance ?D Decade)
   (duration ?D (MeasureFn 10 YearDuration)))

;; dawn, dusk

(subclass Midnight TimePoint)
(=>
  (instance ?M Midnight)
  (exists (?D)
    (and
      (instance ?D Day)
      (equal ?M (EndFn ?D)))))

(subclass Afternoon DayTime)
(documentation Afternoon EnglishLanguage "The class of &%TimeIntervals that begin at noon and
end at &%Sunset.")
(disjoint Morning Afternoon)
(disjoint Afternoon Evening)
(disjoint Morning Evening)

(=>
  (instance ?AFTERNOON Afternoon)
  (exists (?HOUR ?DAY)
    (and
      (instance ?HOUR
        (HourFn 12 ?DAY))
      (starts ?HOUR ?AFTERNOON))))

(subclass Morning DayTime)
(documentation Morning EnglishLanguage "The class of &%TimeIntervals that begin at &%Sunrise
and end at noon.")

(=>
  (instance ?MORNING Morning)
  (exists (?HOUR ?DAY)
    (and
      (instance ?HOUR
        (HourFn 12 ?DAY))
      (finishes ?HOUR ?MORNING))))

(instance MorningFn TemporalRelation)
(instance MorningFn UnaryFunction)
(instance MorningFn PartialValuedRelation)
(domain MorningFn 1 Day)
(range MorningFn Morning)

(documentation MorningFn EnglishLanguage "A &%UnaryFunction that returns the
class of &%Mornings of the given &%Day.")

(=>
  (and
    (instance ?E Morning)
    (instance ?D Day)
    (equal ?E (MorningFn ?D)))
  (during ?E ?D))

(instance AfternoonFn TemporalRelation)
(instance AfternoonFn UnaryFunction)
(instance AfternoonFn PartialValuedRelation)
(domain AfternoonFn 1 Day)
(range AfternoonFn Afternoon)

(documentation AfternoonFn EnglishLanguage "A &%UnaryFunction that returns the class of
&%Afternoons of the given &%Day.")

(=>
  (and
    (instance ?E Afternoon)
    (instance ?D Day)
    (equal ?E (AfternoonFn ?D)))
  (during ?E ?D))

(=>
  (instance ?A Afternoon)
  (exists (?N)
    (and
      (instance ?N Noon)
      (equal (BeginFn ?A) ?N))))

(subclass Noon TimePoint)
(documentation Noon EnglishLanguage "The Class of all &%TimePoints that are at noon.")

(subclass DayTime TimeInterval)
(documentation DayTime EnglishLanguage "The class of &%TimeIntervals that begin at &%Sunrise
and end at &%Sunset.")
(disjoint DayTime NightTime)

(subclass Sunrise TimeInterval)
(documentation Sunrise EnglishLanguage "The &%TimeInterval of each &%Day when the sun is rising
and is partially overlapped by the horizon line.")

(subclass Sunset TimeInterval)
(documentation Sunset EnglishLanguage "The &%TimeInterval of each &%Day when the sun is setting
and is partially overlapped by the horizon line.")

(=>
   (instance ?DAY DayTime)
   (exists (?NIGHT1 ?NIGHT2)
      (and
         (instance ?NIGHT1 NightTime)
         (instance ?NIGHT2 NightTime)
         (meetsTemporally ?DAY ?NIGHT1)
         (meetsTemporally ?NIGHT2 ?DAY))))

(=>
   (instance ?DAY DayTime)
   (exists (?RISE ?SET)
      (and
         (instance ?RISE Sunrise)
         (instance ?SET Sunset)
         (starts ?RISE ?DAY)
         (finishes ?SET ?DAY))))

(subclass NightTime TimeInterval)
(documentation NightTime EnglishLanguage "The class of &%TimeIntervals that begin at &%Sunset
and end at &%Sunrise.")

(=>
   (instance ?NIGHT NightTime)
   (exists (?DAY1 ?DAY2)
      (and
         (instance ?DAY1 DayTime)
         (instance ?DAY2 DayTime)
         (meetsTemporally ?NIGHT ?DAY1)
         (meetsTemporally ?DAY2 ?NIGHT))))

(=>
   (instance ?NIGHT NightTime)
   (exists (?RISE ?SET)
      (and
         (instance ?RISE Sunrise)
         (instance ?SET Sunset)
         (starts ?SET ?NIGHT)
         (finishes ?RISE ?NIGHT))))

(subclass Evening NightTime)

(documentation Evening EnglishLanguage "The class of &%TimeIntervals that begin at &%Sunset,
which is the end of &%Afternoon, and end at midnight.")

(=>
  (instance ?EVE Evening)
  (exists (?MID)
    (and
      (instance ?MID Midnight)
      (equal (EndFn ?EVE) ?MID))))

(=>
  (and
    (instance ?EVE Evening)
    (instance ?AFT Afternoon)
    (instance ?D Day)
    (during ?EVE ?D)
    (during ?AFT ?D))
  (meetsTemporally ?AFT ?EVE))

(instance EveningFn TemporalRelation)
(instance EveningFn UnaryFunction)
(instance EveningFn PartialValuedRelation)
(domain EveningFn 1 Day)
(range EveningFn Evening)

(documentation EveningFn EnglishLanguage "A &%UnaryFunction that returns the class of
&%Evenings of the given &%Day.")

(=>
  (and
    (instance ?E Evening)
    (instance ?D Day)
    (equal ?E (EveningFn ?D)))
  (during ?E ?D))

(instance WeekFn TemporalRelation)
(instance WeekFn BinaryFunction)
(instance WeekFn PartialValuedRelation)
(domain WeekFn 1 PositiveInteger)
(domainSubclass WeekFn 2 Year)
(rangeSubclass WeekFn Week)

(documentation WeekFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Year to the &%Week within each &%Year
corresponding to that &%PositiveRealNumber.  For example, (&%WeekFn 4 (&%YearFn 1999))
is the singular &%Class of all fourth &%Weeks of the &%Year 1999.")

(=>
  (and
    (instance ?W (WeekFn ?N ?Y))
    (instance ?YI ?Y))
  (during ?W ?YI))

(instance QuarterFn TemporalRelation)
(instance QuarterFn BinaryFunction)
(instance QuarterFn PartialValuedRelation)
(domain QuarterFn 1 PositiveInteger)
(domainSubclass QuarterFn 2 Year)
(rangeSubclass QuarterFn QuarterYear)

(documentation QuarterFn EnglishLanguage "A &%BinaryFunction that assigns a
&%PositiveRealNumber and a subclass of &%Year to the &%Quarter within each &%Year
corresponding to that &%PositiveRealNumber.  For example, (&%QuarterFn 4 (&%YearFn 1999))
is the singular &%Class of the last &%QuarterYear of the &%Year 1999.")

(=>
  (and
    (instance ?Q QuarterYear)
    (instance ?Q (QuarterFn ?N ?Y))
    (instance ?YI (YearFn ?Y)))
  (during ?Q ?YI))

(subclass QuarterYear TimeInterval)

(documentation QuarterYear EnglishLanguage "A period of three months.")

(=>
   (instance ?Q QuarterYear)
   (duration ?Q (MeasureFn 3 MonthDuration)))

(subclass LeapYear Year)

(documentation LeapYear EnglishLanguage "The &%Class of all leap years.  These are years
which are either (i.) evenly divisible by 4 and not by 100 or (ii.) evenly
divisible by 400 (this latter case is known as a leap century).")

(=>
   (and
      (instance ?LEAP LeapYear)
      (instance ?LEAP (YearFn ?NUMBER)))
   (or
      (and
         (equal (RemainderFn ?NUMBER 4) 0)
         (not (equal (RemainderFn ?NUMBER 100) 0)))
      (equal (RemainderFn ?NUMBER 400) 0)))

(instance successorClass BinaryPredicate)
(instance successorClass TransitiveRelation)
(domain successorClass 1 Class)
(domain successorClass 2 Class)
(format EnglishLanguage successorClass "%2 is %n the &%successorClass of %2.")

(documentation successorClass EnglishLanguage "The next class is a sequence
of classes, such as days of the week. The first argument is 'prior' to the
second argument.")

(relatedInternalConcept successorClass successorAttribute)

(successorClass January February)
(successorClass February March)
(successorClass March April)
(successorClass April May)
(successorClass May June)
(successorClass June July)
(successorClass July August)
(successorClass August September)
(successorClass September October)
(successorClass October November)
(successorClass November December)

(successorClass Sunday Monday)
(successorClass Monday Tuesday)
(successorClass Tuesday Wednesday)
(successorClass Wednesday Thursday)
(successorClass Thursday Friday)
(successorClass Friday Saturday)

(subclass Month TimeInterval)
(relatedInternalConcept Month MonthFn)

(documentation Month EnglishLanguage "The &%Class of all calendar &%Months.")

(subclass January Month)

(documentation January EnglishLanguage "The &%Class of all &%Months which are January.")

(=>
   (instance ?MONTH January)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn January ?YEAR))
      (instance ?MONTH2 (MonthFn February ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass February Month)

(documentation February EnglishLanguage "The &%Class of all &%Months which are February.")

(=>
   (and
      (instance ?MONTH (MonthFn February ?YEAR))
      (instance ?Y ?YEAR)
      (not (instance ?Y LeapYear)))
   (duration ?MONTH (MeasureFn 28 DayDuration)))

(=>
   (and
      (instance ?MONTH (MonthFn February ?YEAR))
      (instance ?Y ?YEAR)
      (instance ?Y LeapYear))
   (duration ?MONTH (MeasureFn 29 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn February ?YEAR))
      (instance ?MONTH2 (MonthFn March ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass March Month)

(documentation March EnglishLanguage "The &%Class of all &%Months which are March.")

(=>
   (instance ?MONTH March)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn March ?YEAR))
      (instance ?MONTH2 (MonthFn April ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass April Month)

(documentation April EnglishLanguage "The &%Class of all &%Months which are April.")

(=>
   (instance ?MONTH April)
   (duration ?MONTH (MeasureFn 30 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn April ?YEAR))
      (instance ?MONTH2 (MonthFn May ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass May Month)

(documentation May EnglishLanguage "The &%Class of all &%Months which are May.")

(=>
   (instance ?MONTH May)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn May ?YEAR))
      (instance ?MONTH2 (MonthFn June ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass June Month)

(documentation June EnglishLanguage "The &%Class of all &%Months which are June.")

(=>
   (instance ?MONTH June)
   (duration ?MONTH (MeasureFn 30 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn June ?YEAR))
      (instance ?MONTH2 (MonthFn July ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass July Month)

(documentation July EnglishLanguage "The &%Class of all &%Months which are July.")

(=>
   (instance ?MONTH July)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn July ?YEAR))
      (instance ?MONTH2 (MonthFn August ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass August Month)

(documentation August EnglishLanguage "The &%Class of all &%Months which are August.")

(=>
   (instance ?MONTH August)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn August ?YEAR))
      (instance ?MONTH2 (MonthFn September ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass September Month)

(documentation September EnglishLanguage "The &%Class of all &%Months which are
September.")

(=>
   (instance ?MONTH September)
   (duration ?MONTH (MeasureFn 30 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn September ?YEAR))
      (instance ?MONTH2 (MonthFn October ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass October Month)

(documentation October EnglishLanguage "The &%Class of all &%Months which are October.")

(=>
   (instance ?MONTH October)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn October ?YEAR))
      (instance ?MONTH2 (MonthFn November ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass November Month)

(documentation November EnglishLanguage "The &%Class of all &%Months which are November.")

(=>
   (instance ?MONTH November)
   (duration ?MONTH (MeasureFn 30 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn November ?YEAR))
      (instance ?MONTH2 (MonthFn December ?YEAR)))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass December Month)

(documentation December EnglishLanguage "The &%Class of all &%Months which are December.")

(=>
   (instance ?MONTH December)
   (duration ?MONTH (MeasureFn 31 DayDuration)))

(=>
   (and
      (instance ?MONTH1 (MonthFn December ?YEAR1))
      (instance ?MONTH2 (MonthFn January ?YEAR2))
      (instance ?Y1 ?YEAR1)
      (instance ?Y2 ?YEAR2)
      (meetsTemporally ?Y1 ?Y2))
   (meetsTemporally ?MONTH1 ?MONTH2))

(subclass Day TimeInterval)
(relatedInternalConcept Day DayFn)
(relatedInternalConcept Day DayDuration)

(documentation Day EnglishLanguage "The &%Class of all calendar &%Days.")

(=>
   (instance ?DAY Day)
   (duration ?DAY (MeasureFn 1 DayDuration)))

(subclass Monday Day)
(documentation Monday EnglishLanguage "The &%Class of all calendar Mondays.")

(subclass Tuesday Day)

(documentation Tuesday EnglishLanguage "The &%Class of all calendar Tuesdays.")

(=>
   (and
      (instance ?DAY1 Monday)
      (instance ?DAY2 Tuesday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Wednesday Day)

(documentation Wednesday EnglishLanguage "The &%Class of all calendar Wednesdays.")

(=>
   (and
      (instance ?DAY1 Tuesday)
      (instance ?DAY2 Wednesday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Thursday Day)

(documentation Thursday EnglishLanguage "The &%Class of all calendar Thursdays.")

(=>
   (and
      (instance ?DAY1 Wednesday)
      (instance ?DAY2 Thursday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Friday Day)

(documentation Friday EnglishLanguage "The &%Class of all calendar Fridays.")

(=>
   (and
      (instance ?DAY1 Thursday)
      (instance ?DAY2 Friday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Saturday Day)

(documentation Saturday EnglishLanguage "The &%Class of all calendar Saturdays.")

(=>
   (and
      (instance ?DAY1 Friday)
      (instance ?DAY2 Saturday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Sunday Day)

(documentation Sunday EnglishLanguage "The &%Class of all calendar Sundays.")

(=>
   (and
      (instance ?DAY1 Saturday)
      (instance ?DAY2 Sunday)
      (instance ?WEEK Week)
      (temporalPart ?DAY1 ?WEEK)
      (temporalPart ?DAY2 ?WEEK))
   (meetsTemporally ?DAY1 ?DAY2))

(=>
   (and
      (instance ?DAY1 Sunday)
      (instance ?DAY2 Monday)
      (instance ?WEEK1 Week)
      (instance ?WEEK2 Week)
      (temporalPart ?DAY1 ?WEEK1)
      (temporalPart ?DAY2 ?WEEK2)
      (meetsTemporally ?WEEK1 ?WEEK2))
   (meetsTemporally ?DAY1 ?DAY2))

(subclass Week TimeInterval)

(documentation Week EnglishLanguage "The &%Class of all calendar weeks.")

(=>
   (instance ?WEEK Week)
   (duration ?WEEK (MeasureFn 1 WeekDuration)))

(subclass Hour TimeInterval)
(relatedInternalConcept Hour HourFn)
(relatedInternalConcept Hour HourDuration)

(documentation Hour EnglishLanguage "The &%Class of all clock &%Hours.")

(=>
   (instance ?HOUR Hour)
   (duration ?HOUR (MeasureFn 1 HourDuration)))

(subclass Minute TimeInterval)
(relatedInternalConcept Minute MinuteFn)
(relatedInternalConcept Minute MinuteDuration)

(documentation Minute EnglishLanguage "The &%Class of all clock &%Minutes.")

(=>
   (instance ?MINUTE Minute)
   (duration ?MINUTE (MeasureFn 1 MinuteDuration)))

(subclass Second TimeInterval)
(relatedInternalConcept Second SecondDuration)
(relatedInternalConcept Second SecondFn)

(documentation Second EnglishLanguage "The &%Class of all clock &%Seconds.")

(=>
   (instance ?SECOND Second)
   (duration ?SECOND (MeasureFn 1 SecondDuration)))

(instance TemporalCompositionFn TemporalRelation)
(instance TemporalCompositionFn BinaryFunction)
(instance TemporalCompositionFn TotalValuedRelation)
(domain TemporalCompositionFn 1 TimeInterval)
(domainSubclass TemporalCompositionFn 2 TimeInterval)
(rangeSubclass TemporalCompositionFn TimeInterval)
(documentation TemporalCompositionFn EnglishLanguage "The basic &%Function for expressing
the composition of larger &%TimeIntervals out of smaller &%TimeIntervals.
For example, if &%ThisSeptember is an &%instance of &%September,
(&%TemporalCompositionFn &%ThisSeptember &%Day) denotes the &%Class of
consecutive days that make up &%ThisSeptember.  Note that one can obtain
the number of instances of this &%Class by using the function &%CardinalityFn.")

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (forall (?TIME1 ?TIME2)
      (=>
         (and
            (instance ?TIME1 ?INTERVALTYPE)
            (instance ?TIME2 ?CLASS))
         (exists (?DURATION)
            (and
               (duration ?TIME1 ?DURATION)
               (duration ?TIME2 ?DURATION))))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (forall (?TIME1 ?TIME2)
      (=>
         (and
            (instance ?TIME1 ?CLASS)
            (instance ?TIME2 ?CLASS)
            (not (equal ?TIME1 ?TIME2)))
         (or
            (meetsTemporally ?TIME1 ?TIME2)
            (meetsTemporally ?TIME2 ?TIME1)
            (earlier ?TIME1 ?TIME2)
            (earlier ?TIME2 ?TIME1)))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (exists (?TIME)
      (and
         (instance ?TIME ?CLASS)
         (starts ?TIME ?INTERVAL))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (exists (?TIME)
      (and
         (instance ?TIME ?CLASS)
         (finishes ?TIME ?INTERVAL))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (forall (?TIME1)
      (=>
         (and
            (instance ?TIME1 ?CLASS)
            (not (finishes ?TIME1 ?INTERVAL)))
         (exists (?TIME2)
            (and
               (instance ?TIME2 ?CLASS)
               (meetsTemporally ?TIME1 ?TIME2))))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (forall (?TIME1)
      (=>
         (and
            (instance ?TIME1 ?CLASS)
            (not (starts ?TIME1 ?INTERVAL)))
         (exists (?TIME2)
            (and
               (instance ?TIME2 ?CLASS)
               (meetsTemporally ?TIME2 ?TIME1))))))

(=>
   (equal (TemporalCompositionFn ?INTERVAL ?INTERVALTYPE) ?CLASS)
   (forall (?TIME)
      (=>
         (and
            (instance ?TIME TimePoint)
            (temporalPart ?TIME ?INTERVAL))
         (exists (?INSTANCE)
            (and
               (instance ?INSTANCE ?CLASS)
               (temporalPart ?TIME ?INSTANCE))))))

(=>
   (instance ?YEAR Year)
   (equal (CardinalityFn (TemporalCompositionFn ?YEAR Month)) 12))

(=>
   (and
      (instance ?MONTH Month)
      (duration ?MONTH (MeasureFn ?NUMBER DayDuration)))
   (equal (CardinalityFn (TemporalCompositionFn ?MONTH Day)) ?NUMBER))

(=>
   (instance ?WEEK Week)
   (equal (CardinalityFn (TemporalCompositionFn ?WEEK Day)) 7))

(=>
   (instance ?DAY Day)
   (equal (CardinalityFn (TemporalCompositionFn ?DAY Hour)) 24))

(=>
   (instance ?HOUR Hour)
   (equal (CardinalityFn (TemporalCompositionFn ?HOUR Minute)) 60))

(=>
   (instance ?MINUTE Minute)
   (equal (CardinalityFn (TemporalCompositionFn ?MINUTE Second)) 60))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;
;; MEREOTOPOLOGY ;;
;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'STRUCTURAL ONTOLOGY'
;; INCLUDES 'BASE ONTOLOGY'

;; Most of this content is taken from Barry Smith's and Nicola Guarino's
;; papers on the subject.

(instance connected BinaryPredicate)
(instance connected SpatialRelation)
(instance connected ReflexiveRelation)
(instance connected SymmetricRelation)
(domain connected 1 Object)
(domain connected 2 Object)

(documentation connected EnglishLanguage "(connected ?OBJ1 ?OBJ2) means that ?OBJ1
&%meetsSpatially ?OBJ2 or that ?OBJ1 &%overlapsSpatially ?OBJ2.")

(=>
     (connected ?OBJ1 ?OBJ2)
     (or
          (meetsSpatially ?OBJ1 ?OBJ2)
          (overlapsSpatially ?OBJ1 ?OBJ2)))

(<=>
  (instance ?OBJ SelfConnectedObject)
  (forall (?PART1 ?PART2)
    (=>
      (equal ?OBJ (MereologicalSumFn ?PART1 ?PART2))
      (connected ?PART1 ?PART2))))

(instance connects SpatialRelation)
(instance connects TernaryPredicate)
(domain connects 1 Object)
(domain connects 2 Object)
(domain connects 3 Object)

(documentation connects EnglishLanguage "The relationship between three things, when one
of the three things connects the other two.  More formally, (&%connects ?OBJ1
?OBJ2 ?OBJ3) means that (&%connected ?OBJ1 ?OBJ2) and (&%connected ?OBJ1 ?OBJ3)
and not (&%connected ?OBJ2 ?OBJ3).")

(=>
  (connects ?OBJ1 ?OBJ2 ?OBJ3)
  (between ?OBJ2 ?OBJ1 ?OBJ3))

(=>
  (between ?OBJ2 ?OBJ1 ?OBJ3)
  (connects ?OBJ1 ?OBJ2 ?OBJ3))

(=>
  (connects ?OBJ1 ?OBJ2 ?OBJ3)
  (and
    (connected ?OBJ1 ?OBJ2)
    (connected ?OBJ1 ?OBJ3)
    (not
      (connected ?OBJ2 ?OBJ3))))

(=>
  (and
    (connected ?OBJ1 ?OBJ2)
    (connected ?OBJ1 ?OBJ3)
    (not
      (connected ?OBJ2 ?OBJ3)))
  (connects ?OBJ1 ?OBJ2 ?OBJ3))

(=>
  (connects ?ARC ?NODE1 ?NODE2)
  (connects ?ARC ?NODE2 ?NODE1))

;MSv: conflicting definitions: meetsSpatially is irreflexive and connected is a ReflexiveRelation
;(subrelation meetsSpatially connected)
(domain meetsSpatially 1 Object)
(domain meetsSpatially 2 Object)
(relatedInternalConcept meetsSpatially connected)
(instance meetsSpatially IrreflexiveRelation)
(instance meetsSpatially SymmetricRelation)
(instance meetsSpatially BinaryPredicate)
(disjointRelation meetsSpatially overlapsSpatially)

(documentation meetsSpatially EnglishLanguage "(&%meetsSpatially ?OBJ1 ?OBJ2) means that
?OBJ1 and ?OBJ2 are &%connected but that neither ?OBJ1 nor ?OBJ2
&%overlapsSpatially the other.")

(subrelation overlapsSpatially connected)
(instance overlapsSpatially ReflexiveRelation)
(instance overlapsSpatially SymmetricRelation)
(format EnglishLanguage overlapsSpatially "%1 and %2 is %n &%overlapsSpatially")

(documentation overlapsSpatially EnglishLanguage "(&%overlapsSpatially ?OBJ1 ?OBJ2) means
that the &%Objects ?OBJ1 and ?OBJ2 have some parts in common.  This is a
reflexive and symmetric (but not transitive) relation.")

(=>
  (overlapsSpatially ?OBJ1 ?OBJ2)
  (exists (?OBJ3)
    (and
      (part ?OBJ3 ?OBJ1)
      (part ?OBJ3 ?OBJ2))))

(=>
  (and
    (part ?OBJ3 ?OBJ1)
    (part ?OBJ3 ?OBJ2))
  (overlapsSpatially ?OBJ1 ?OBJ2))

(=>
   (and
      (member ?OBJ1 ?COLL)
      (member ?OBJ2 ?COLL)
      (not (equal ?OBJ1 ?OBJ2)))
   (not
      (overlapsSpatially ?OBJ1 ?OBJ2)))

(=>
   (and
      (instance ?REL CaseRole)
      (instance ?OBJ Object)
      (?REL ?PROCESS ?OBJ))
   (exists (?TIME)
      (overlapsSpatially (WhereFn ?PROCESS ?TIME) ?OBJ)))

(instance overlapsPartially BinaryPredicate)
(instance overlapsPartially SymmetricRelation)
(instance overlapsPartially PartialValuedRelation)
(instance overlapsPartially IrreflexiveRelation)
;MSv: overlapsSpatially is ReflexiveRelation, so overlapsPartially can't be subrelation of
;it.
;(subrelation overlapsPartially overlapsSpatially)

(documentation overlapsPartially EnglishLanguage "(&%overlapsPartially ?OBJ1 ?OBJ2) means
that ?OBJ1 and ?OBJ2 have part(s) in common, but neither ?OBJ1 nor ?OBJ2
is a &%part of the other.")

(domain overlapsPartially 1 Object)
(domain overlapsPartially 2 Object)

(=>
   (overlapsPartially ?OBJ1 ?OBJ2)
   (and
     (not (part ?OBJ1 ?OBJ2))
     (not (part ?OBJ2 ?OBJ1))
     (exists (?OBJ3)
       (and
         (part ?OBJ3 ?OBJ1)
         (part ?OBJ3 ?OBJ2)))))

(=>
   (and
     (not (part ?OBJ1 ?OBJ2))
     (not (part ?OBJ2 ?OBJ1))
     (and
       (part ?OBJ3 ?OBJ1)
       (part ?OBJ3 ?OBJ2)))
   (overlapsPartially ?OBJ1 ?OBJ2))

(=>
  (overlapsPartially ?OBJ1 ?OBJ2)
  (overlapsSpatially ?OBJ1 ?OBJ2))

(=>
  (superficialPart ?PART ?WHOLE)
  (part ?PART ?WHOLE))

(instance superficialPart IrreflexiveRelation)
(instance superficialPart TransitiveRelation)
(instance superficialPart PartialValuedRelation)
(instance superficialPart BinaryPredicate)
(domain superficialPart 1 Object)
(domain superficialPart 2 Object)

(documentation superficialPart EnglishLanguage "(&%superficialPart ?OBJ1 ?OBJ2)
means that ?OBJ1 is a part of ?OBJ2 that has no interior parts of its own
(or, intuitively, that only overlaps those parts of ?OBJ2 that are
externally connected with the mereological complement of ?OBJ2). This too
is a transitive relation closed under &%MereologicalSumFn and
&%MereologicalProductFn.")

(=>
  (superficialPart ?OBJ1 ?OBJ2)
  (and
    (not
      (interiorPart ?OBJ1 ?OBJ2))
    (not
      (exists (?OBJ3)
        (interiorPart ?OBJ3 ?OBJ1)))))

(instance surface AsymmetricRelation)
(instance surface BinaryPredicate)
(subrelation surface superficialPart)
(domain surface 1 SelfConnectedObject)
(domain surface 2 SelfConnectedObject)

(documentation surface EnglishLanguage "(&%surface ?OBJ1 ?OBJ2) means that ?OBJ1
is a maximally connected &%superficialPart of ?OBJ2.  Note that some
&%SelfConnectedObjects have more than one surface, e.g. a hollow
object like a tennis ball has both an inner and an outer surface.")

(=>
  (surface ?OBJ1 ?OBJ2)
  (forall (?OBJ3)
    (=>
      (superficialPart ?OBJ3 ?OBJ2)
      (part ?OBJ3 ?OBJ1))))

(subrelation interiorPart part)
(instance interiorPart AsymmetricRelation)
(instance interiorPart TransitiveRelation)
(documentation interiorPart EnglishLanguage "(&%interiorPart ?OBJ1 ?OBJ2) means
that ?OBJ1 is part ?OBJ2 and there is no overlap between ?OBJ1 and
any &%superficialPart ?OBJ2.")

(=>
  (interiorPart ?OBJ1 ?OBJ2)
  (forall (?PART)
    (=>
      (superficialPart ?PART ?OBJ2)
      (not
        (overlapsSpatially ?OBJ1 ?PART)))))

(subrelation bottom superficialPart)
(instance bottom BinaryPredicate)
(domain bottom 1 SelfConnectedObject)
(domain bottom 2 SelfConnectedObject)

(documentation bottom EnglishLanguage "(&%bottom ?BOTTOM ?OBJECT) holds if ?BOTTOM is the
lowest or deepest maximal superficial part of ?OBJECT.")

(=>
  (and
    (bottom ?BOTTOM ?OBJECT)
    (part ?PART ?OBJECT)
    (not (connected ?PART ?BOTTOM)))
  (orientation ?PART ?BOTTOM Above))

(subrelation top superficialPart)
(instance top BinaryPredicate)
(domain top 1 SelfConnectedObject)
(domain top 2 SelfConnectedObject)

(documentation top EnglishLanguage "(&%top ?TOP ?OBJECT) means that ?TOP is the highest
maximal superficial part of ?OBJECT.")

(=>
  (and
    (top ?TOP ?OBJECT)
    (part ?PART ?OBJECT)
    (not (connected ?PART ?TOP)))
  (orientation ?PART ?TOP Below))

(subrelation side superficialPart)
(instance side BinaryPredicate)
(domain side 1 SelfConnectedObject)
(domain side 2 SelfConnectedObject)

(documentation side EnglishLanguage "(&%side ?SIDE ?OBJECT) means that ?SIDE is a side of
the object, as opposed to the &%top or &%bottom.")

(=>
  (and
    (side ?SIDE ?OBJECT)
    (part ?PART ?OBJECT)
    (not (connected ?PART ?SIDE)))
      (exists (?DIRECT)
        (orientation ?SIDE ?PART ?DIRECT)))

(=>
  (and
    (top ?TOP ?O)
    (side ?S ?O))
  (not
    (equal ?TOP ?S)))

(=>
  (width ?OBJECT ?WIDTH)
  (exists (?SIDE1 ?SIDE2)
    (and
      (side ?SIDE1 ?OBJECT)
      (side ?SIDE2 ?OBJECT)
      (distance ?SIDE1 ?SIDE2 ?WIDTH))))

(=>
  (exists (?SIDE1 ?SIDE2)
    (and
      (side ?SIDE1 ?OBJECT)
      (side ?SIDE2 ?OBJECT)
      (distance ?SIDE1 ?SIDE2 ?WIDTH)))
  (width ?OBJECT ?WIDTH))

(=>
  (and
    (height ?OBJECT ?HEIGHT)
    (top ?TOP ?OBJECT)
    (bottom ?BOTTOM ?OBJECT))
  (distance ?TOP ?BOTTOM ?HEIGHT))

(instance MereologicalSumFn SpatialRelation)
(instance MereologicalSumFn BinaryFunction)
(instance MereologicalSumFn TotalValuedRelation)
(domain MereologicalSumFn 1 Object)
(domain MereologicalSumFn 2 Object)
(range MereologicalSumFn Object)
(relatedInternalConcept MereologicalSumFn MereologicalProductFn)
(relatedInternalConcept MereologicalSumFn MereologicalDifferenceFn)

(documentation MereologicalSumFn EnglishLanguage "(&%MereologicalSumFn ?OBJ1 ?OBJ2)
denotes the &%Object consisting of the parts which belong to either
?OBJ1 or ?OBJ2.")

(=>
  (equal ?OBJ3 (MereologicalSumFn ?OBJ1 ?OBJ2))
  (forall (?PART)
    (<=>
      (part ?PART ?OBJ3)
      (or
        (part ?PART ?OBJ1)
        (part ?PART ?OBJ2)))))

(instance MereologicalProductFn SpatialRelation)
(instance MereologicalProductFn BinaryFunction)
(instance MereologicalProductFn TotalValuedRelation)
(domain MereologicalProductFn 1 Object)
(domain MereologicalProductFn 2 Object)
(range MereologicalProductFn Object)
(relatedInternalConcept MereologicalProductFn MereologicalDifferenceFn)

(documentation MereologicalProductFn EnglishLanguage "(&%MereologicalProductFn ?OBJ1
?OBJ2)denotes the &%Object consisting of the parts which belong to both ?OBJ1
and ?OBJ2.")

(=>
  (equal ?OBJ3 (MereologicalProductFn ?OBJ1 ?OBJ2))
  (forall (?PART)
    (<=>
      (part ?PART ?OBJ3)
      (and
        (part ?PART ?OBJ1)
        (part ?PART ?OBJ2)))))

(instance MereologicalDifferenceFn SpatialRelation)
(instance MereologicalDifferenceFn BinaryFunction)
(instance MereologicalDifferenceFn TotalValuedRelation)
(domain MereologicalDifferenceFn 1 Object)
(domain MereologicalDifferenceFn 2 Object)
(range MereologicalDifferenceFn Object)

(documentation MereologicalDifferenceFn EnglishLanguage "(&%MereologicalDifferenceFn ?OBJ1
?OBJ2) denotes the &%Object consisting of the parts which belong to ?OBJ1
and not to ?OBJ2.")

(=>
  (equal ?OBJ3
    (MereologicalDifferenceFn ?OBJ1 ?OBJ2))
  (forall (?PART)
    (<=>
      (properPart ?PART ?OBJ3)
      (and
        (properPart ?PART ?OBJ1)
        (not
          (properPart ?PART ?OBJ2))))))

;; What follows is an alignment of the Casati and Varzi theory of
;; holes with the SUMO.

(instance hole BinaryPredicate)
(instance hole SpatialRelation)
(instance hole AsymmetricRelation)
(domain hole 1 Hole)
(domain hole 2 SelfConnectedObject)

(documentation hole EnglishLanguage "(&%hole ?HOLE ?OBJ) means that ?HOLE is a
&%Hole in ?OBJ.  A &%Hole is a fillable body located at the &%surface an &%Object.")

(subclass Hole Region)

(documentation Hole EnglishLanguage "A hole is an immaterial body located at the surface
of an &%Object.  Since every &%Hole is ontologically dependent on its host
(i.e., the object in which it is a hole), being a &%Hole is defined as
being a &%hole in something.  Note that two &%Holes may occupy the same
region, or part of the same region, without sharing any parts.  Any two
hosts of a hole have a common proper part that entirely hosts the hole.  A
common host of two holes hosts all parts of the sum of those holes.  Any
object that includes the host of a hole is a host of that hole, unless its
parts also include parts of that very hole.  Overlapping holes have
overlapping hosts.  No hole is atomic.  Holes are connected with their
hosts.  No hole can have a proper part that is externally connected with
exactly the same things as the hole itself.")

(<=>
  (instance ?HOLE Hole)
  (exists (?OBJ)
    (hole ?HOLE ?OBJ)))

(=>
  (hole ?HOLE ?OBJ)
  (not
    (instance ?OBJ Hole)))

(=>
  (hole ?HOLE ?OBJ)
  (not
     (overlapsSpatially ?HOLE ?OBJ)))

(=>
  (and
    (hole ?HOLE ?OBJ1)
    (hole ?HOLE ?OBJ2))
  (exists (?OBJ3)
    (and
      (properPart ?OBJ3 (MereologicalProductFn ?OBJ1 ?OBJ2))
      (hole ?HOLE ?OBJ3))))

(=>
  (and
    (hole ?HOLE1 ?OBJ)
    (hole ?HOLE2 ?OBJ))
  (forall (?HOLE3)
    (=>
      (part ?HOLE3 (MereologicalSumFn ?HOLE1 ?HOLE2))
      (hole ?HOLE3 ?OBJ))))

(=>
  (and
    (hole ?HOLE ?OBJ1)
    (part ?OBJ1 ?OBJ2))
  (or
    (overlapsSpatially ?HOLE ?OBJ2)
    (hole ?HOLE ?OBJ2)))

(=>
  (and
    (hole ?HOLE1 ?OBJ1)
    (hole ?HOLE2 ?OBJ2)
    (overlapsSpatially ?HOLE1 ?HOLE2))
  (overlapsSpatially ?OBJ1 ?OBJ2))

(=>
  (instance ?HOLE1 Hole)
  (exists (?HOLE2)
    (properPart ?HOLE2 ?HOLE1)))

;(instance HoleHostFn SpatialRelation)
(instance HoleHostFn UnaryFunction)
;(instance HoleHostFn TotalValuedRelation)
;(instance HoleHostFn AsymmetricRelation)
(domain HoleHostFn 1 Hole)
(range HoleHostFn Object)

(documentation HoleHostFn EnglishLanguage "A &%UnaryFunction that maps a &%Hole to
the &%Object which is its principal host.  The principle host of a &%Hole
is its maximally connected host (a notion taken here to be defined only
when the argument is a hole).")

(=>
  (hole ?HOLE ?OBJ)
  (connected ?HOLE ?OBJ))

(=>
  (and
    (instance ?HOLE1 Hole)
    (properPart ?HOLE2 ?HOLE1))
  (exists (?OBJ)
    (and
      (meetsSpatially ?HOLE1 ?OBJ)
      (not
        (meetsSpatially ?HOLE2 ?OBJ)))))

(instance Fillable ShapeAttribute)

(documentation Fillable EnglishLanguage "Something is &%Fillable if it can be filled by
something else.  Note that 'filled' here means perfectly filled.
Something is fillable just in case it is part of a hole, i.e.,
fillability is an exclusive property of holes and their parts.")

(=>
  (exists (?TIME)
    (holdsDuring ?TIME
      (fills ?OBJ ?HOLE)))
  (attribute ?HOLE Fillable))

(<=>
  (attribute ?HOLE1 Fillable)
  (exists (?HOLE2)
    (and
      (instance ?HOLE2 Hole)
      (part ?HOLE1 ?HOLE2))))

(subrelation partiallyFills located)
(instance partiallyFills SpatialRelation)
(instance partiallyFills AsymmetricRelation)
(domain partiallyFills 1 Object)
(domain partiallyFills 2 Hole)

(documentation partiallyFills EnglishLanguage "(&%partiallyFills ?OBJ ?HOLE) means that
?OBJ &%completelyFills some part of ?HOLE. Note that if (&%partiallyFills
?OBJ1 ?HOLE) and (&%part ?OBJ1 ?OBJ2), then (&%partiallyFills ?OBJ2 ?HOLE).
Note too that a partial filler need not be wholly inside a hole (it may
stick out), which means that every complete filler also qualifies as
(is a limit case of) a partial one.")

(=>
  (partiallyFills ?OBJ ?HOLE1)
  (exists (?HOLE2)
    (and
      (part ?HOLE2 ?HOLE1)
      (completelyFills ?OBJ ?HOLE2))))

(instance properlyFills AsymmetricRelation)
(subrelation properlyFills partiallyFills)
(domain properlyFills 1 Object)
(domain properlyFills 2 Hole)

(documentation properlyFills EnglishLanguage "(&%properlyFills ?OBJ ?HOLE)means that ?HOLE
is properly (though perhaps incompletely) filled by ?OBJ, i.e. some part of ?HOLE is
perfectly filled by ?OBJ.  Note that&%properlyFills is the dual of &%completelyFills, and
is so related to &%partiallyFills that ?OBJ &%properlyFills ?HOLE just in case ?OBJ
&%partiallyFills every part of ?HOLE.  (Thus, every perfect filler is both complete and
proper in this sense). Every hole is connected with everything with which a proper filler
of the hole is connected. Every proper part of a perfect filler of (a part of) a hole
properly fills (that part of) that hole.")

(=>
  (properlyFills ?OBJ ?HOLE1)
  (exists (?HOLE2)
    (and
      (part ?HOLE2 ?HOLE1)
      (fills ?OBJ ?HOLE2))))

(instance completelyFills AsymmetricRelation)
(subrelation completelyFills partiallyFills)

(documentation completelyFills EnglishLanguage "(&%completelyFills ?OBJ ?HOLE)
means that some &%part of the &%Object ?OBJ fills the &%Hole ?HOLE.
Note that if (&%completelyFills ?OBJ1 ?HOLE) and (&%part
?OBJ1 ?OBJ2), then (&%completelyFills ?OBJ2 ?HOLE).
A complete filler of (a part of) a hole is connected with everything
with which (that part of) the hole itself is connected.
A perfect filler of (a part of) a hole completely fills every proper
part of (that part of) that hole.")

(=>
  (completelyFills ?OBJ1 ?HOLE)
  (exists (?OBJ2)
    (and
      (part ?OBJ2 ?OBJ1)
      (fills ?OBJ2 ?HOLE))))

(instance fills AsymmetricRelation)
(subrelation fills completelyFills)
(subrelation fills properlyFills)
(domain fills 1 Object)
(domain fills 2 Hole)
(relatedInternalConcept fills Fillable)

(documentation fills EnglishLanguage "Holes can be filled.  (&%fills ?OBJ ?HOLE)
means that the &%Object ?OBJ fills the &%Hole ?HOLE.  Note that
&%fills here means perfectly filled. Perfect fillers and fillable entities have no parts
in common (rather, they may occupy the same spatial region).")

(=>
  (and
    (fills ?OBJ1 ?HOLE)
    (attribute ?OBJ2 Fillable))
  (not
    (overlapsSpatially ?OBJ1 ?OBJ2)))

(=>
   (completelyFills ?OBJ1 ?HOLE)
   (forall (?OBJ2)
     (=>
        (connected ?OBJ2 ?HOLE)
            (connected ?OBJ2 ?OBJ1))))

(=>
  (and
    (properlyFills ?OBJ1 ?HOLE)
    (connected ?OBJ2 ?OBJ1))
  (connected ?HOLE ?OBJ2))

(=>
  (and
    (fills ?OBJ ?HOLE1)
    (properPart ?HOLE2 ?HOLE1))
  (completelyFills ?OBJ ?HOLE2))

(=>
  (and
    (fills ?OBJ1 ?HOLE)
    (properPart ?OBJ2 ?OBJ1))
  (properlyFills ?OBJ2 ?HOLE))

;(instance HoleSkinFn SpatialRelation)
(instance HoleSkinFn UnaryFunction)
;(instance HoleSkinFn TotalValuedRelation)
;(instance HoleSkinFn AsymmetricRelation)
(domain HoleSkinFn 1 Hole)
(range HoleSkinFn Object)

(documentation HoleSkinFn EnglishLanguage "A &%UnaryFunction that maps a &%Hole to the
skin of the &%Hole.  The skin of a &%Hole is the fusion of those superficial
parts (see &%superficialPart) of the &%Hole's principal host (see
&%HoleHostFn) with which the &%Hole is externally connected.")

(=>
  (equal ?OBJ1 (HoleSkinFn ?HOLE))
  (forall (?OBJ2)
    (<=>
      (overlapsSpatially ?OBJ2 ?OBJ1)
      (exists (?OBJ3)
        (and
          (superficialPart ?OBJ3 (HoleHostFn ?HOLE))
          (meetsSpatially ?HOLE ?OBJ3)
          (overlapsSpatially ?OBJ2 ?OBJ3))))))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;
;;    PROCESSES    ;;
;;;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'TEMPORAL CONCEPTS'
;; INCLUDES 'OBJECTS'
;; INCLUDES 'QUALITIES'

(instance subProcess BinaryPredicate)
(instance subProcess PartialOrderingRelation)
(domain subProcess 1 Process)
(domain subProcess 2 Process)

(documentation subProcess EnglishLanguage "(&%subProcess ?SUBPROC ?PROC) means that
?SUBPROC is a subprocess of ?PROC.  A subprocess is here understood as a temporally
distinguished part (proper or not) of a &%Process.")

(=>
   (subProcess ?SUBPROC ?PROC)
   (temporalPart (WhenFn ?SUBPROC) (WhenFn ?PROC)))

;; NS: delete.  This rule is stated above with different (but
;; equivalent) antecedent order.
;; (=>
;;    (subProcess ?SUBPROC ?PROC)
;;    (forall (?REGION)
;;       (=>
;;          (located ?PROC ?REGION)
;;          (located ?SUBPROC ?REGION))))

;; NS: delete.  Redundant ... we've already stated elsewhere that
;; every Physical exists at some time and at some location.
;; (=>
;;   (and
;;     (instance ?PROC Process)
;;     (subProcess ?SUBPROC ?PROC))
;;   (exists (?TIME)
;;     (time ?SUBPROC ?TIME)))

;; The following formulas cover the hierarchy of &%Classes under
;; &%BiologicalProcess.

(subclass BiologicalProcess InternalChange)

(documentation BiologicalProcess EnglishLanguage "A &%Process embodied in an &%Organism.")

(=>
   (instance ?PROC BiologicalProcess)
   (exists (?OBJ)
      (and
         (instance ?OBJ Organism)
         (eventLocated ?PROC ?OBJ))))

(=>
   (and
      (instance ?PROC BiologicalProcess)
      (experiencer ?PROC ?ORG))
   (instance ?ORG Organism))

(subclass PhysiologicProcess BiologicalProcess)

(documentation PhysiologicProcess EnglishLanguage "A normal process of an &%Organism
or part of an &%Organism.")

(subclass AutonomicProcess PhysiologicProcess)
(disjoint AutonomicProcess IntentionalProcess)

(documentation AutonomicProcess EnglishLanguage "The class of &%PhysiologicProcesses of
which there is not conscious awareness and control.")

(subclass OrganOrTissueProcess AutonomicProcess)
(disjoint OrganOrTissueProcess OrganismProcess)

(documentation OrganOrTissueProcess EnglishLanguage "A &%PhysiologicProcess of a
particular &%Organ or &%Tissue.")

(=>
    (instance ?PROC OrganOrTissueProcess)
    (exists (?THING)
        (and
            (eventLocated ?PROC ?THING)
            (or
                (instance ?THING Organ)
                (instance ?THING Tissue)))))

(subclass OrganismProcess PhysiologicProcess)

(documentation OrganismProcess EnglishLanguage "A physiologic function of the
&%Organism as a whole, of multiple organ systems or of multiple
&%Organs or &%Tissues.")

(subclass Birth OrganismProcess)

(documentation Birth EnglishLanguage "The &%Process of being born.")

;; NS: We need to provide more explanation of the intended meaning of
;;     &%Birth.

(=>
   (and
      (instance ?BIRTH Birth)
      (experiencer ?BIRTH ?AGENT))
   (exists (?DEATH)
      (and
         (instance ?DEATH Death)
         (experiencer ?DEATH ?AGENT))))

(subclass Death OrganismProcess)

(documentation Death EnglishLanguage "The &%Process of dying.")

;; NS: delete.  Organisms cannot be Dead.
;; (=>
;;    (and
;;       (instance ?DEATH Death)
;;       (experiencer ?DEATH ?AGENT))
;;    (holdsDuring (FutureFn (WhenFn ?DEATH)) (attribute ?AGENT Dead)))

;; NS: add.  The result of an Organism's Death is a Dead
;; OrganicObject, the parts of which were parts of the Organism
;; immediately before its Death.  This rule should be considered true
;; only by default, since it is not really accurate for an organism
;; that dies, e.g., by being instantaneously vaporized.
(=>
  (and
    (instance ?DEATH Death)
    (instance ?ORG Organism)
    (experiencer ?DEATH ?ORG))
  (exists (?REM)
    (and
      (result ?DEATH ?REM)
      (instance ?REM OrganicObject)
      (holdsDuring (FutureFn (WhenFn ?DEATH))
        (attribute ?REM Dead))
      (=>
        (holdsDuring (ImmediateFutureFn (WhenFn ?DEATH))
          (part ?OBJ ?REM))
        (holdsDuring (ImmediatePastFn (WhenFn ?DEATH))
          (part ?OBJ ?ORG))))))

(subclass Breathing OrganismProcess)
(subclass Breathing AutonomicProcess)

(documentation Breathing EnglishLanguage "The &%Process of respiration, by which oxygen
is made available to an &%Animal.  This covers processes of inhalation,
exhalation, and alternations between the two.")

(subclass Ingesting OrganismProcess)

(documentation Ingesting EnglishLanguage "The &%Process by which food or
&%Medicine is taken into an &%Animal.")

(=>
   (and
      (instance ?ACT Ingesting)
      (resource ?ACT ?F))
   (or
     (instance ?F (FoodForFn Organism))
     (instance ?F Medicine)))

(subclass Eating Ingesting)

(documentation Eating EnglishLanguage "The &%Process by which solid food is
incorporated into an &%Animal.")

(=>
   (and
      (instance ?ACT Eating)
      (resource ?ACT ?FOOD))
   (attribute ?FOOD Solid))

(subclass Drinking Ingesting)

(documentation Drinking EnglishLanguage "The &%Process by which liquid food, i.e.
&%Beverages, are incorporated into an &%Animal.")

(=>
   (and
      (instance ?ACT Drinking)
      (resource ?ACT ?FOOD))
   (attribute ?FOOD Liquid))

(subclass Digesting OrganismProcess)
(subclass Digesting AutonomicProcess)

(documentation Digesting EnglishLanguage "The &%Process by which &%Food that has been
ingested is broken down into simpler chemical compounds and absorbed by
the &%Organism.")

(=>
   (and
      (instance ?DIGEST Digesting)
      (agent ?DIGEST ?ORGANISM))
   (exists (?INGEST)
      (and
         (instance ?INGEST Ingesting)
         (agent ?INGEST ?ORGANISM)
         (overlapsTemporally (WhenFn ?INGEST) (WhenFn ?DIGEST)))))

(=>
   (instance ?DIGEST Digesting)
   (exists (?DECOMP)
      (and
         (instance ?DECOMP ChemicalDecomposition)
         (subProcess ?DECOMP ?DIGEST))))

(subclass Growth AutonomicProcess)

(documentation Growth EnglishLanguage "The &%Process of biological development in which
an &%Organism or part of an &%Organism changes its form or its size.")

(subclass Replication OrganismProcess)

(documentation Replication EnglishLanguage "The &%Process of biological reproduction.
This can be either a sexual or an asexual process.")

(=>
   (and
      (instance ?REP Replication)
      (agent ?REP ?PARENT)
      (result ?REP ?CHILD))
   (parent ?CHILD ?PARENT))

(=>
   (instance ?REP Replication)
   (exists (?BODY)
      (and
         (instance ?BODY ReproductiveBody)
         (result ?REP ?BODY))))

(subclass SexualReproduction Replication)
(disjoint SexualReproduction AsexualReproduction)

(documentation SexualReproduction EnglishLanguage "Sexual &%Processes of biological
reproduction.")

(=>
   (and
      (instance ?REP SexualReproduction)
      (result ?REP ?ORGANISM))
   (exists (?MOTHER ?FATHER)
      (and
         (mother ?ORGANISM ?MOTHER)
         (father ?ORGANISM ?FATHER))))

(subclass AsexualReproduction Replication)

(documentation AsexualReproduction EnglishLanguage "Asexual &%Processes of biological
reproduction.")

;; NS: delete.
;; (=>
;;    (and
;;       (instance ?REP AsexualReproduction)
;;       (result ?REP ?ORGANISM))
;;    (not
;;       (exists (?PARENT1 ?PARENT2)
;;          (and
;;             (parent ?ORGANISM ?PARENT1)
;;             (parent ?ORGANISM ?PARENT2)
;;             (not (equal ?PARENT1 ?PARENT2))))))

;; NS: add.
(=>
  (and
    (instance ?REP AsexualReproduction)
    (result ?REP ?ORGANISM)
    (parent ?ORGANISM ?PARENT1)
    (parent ?ORGANISM ?PARENT2))
  (equal ?PARENT1 ?PARENT2))

(subclass PsychologicalProcess BiologicalProcess)

(documentation PsychologicalProcess EnglishLanguage "A &%BiologicalProcess which takes
place in the mind or brain of an &%Organism and which may be manifested in the behavior
of the &%Organism.")

(=>
    (instance ?PROCESS PsychologicalProcess)
    (exists (?ANIMAL)
        (and
            (instance ?ANIMAL Animal)
            (experiencer ?PROCESS ?ANIMAL))))

(subclass PathologicProcess BiologicalProcess)
(disjoint PathologicProcess PhysiologicProcess)

(documentation PathologicProcess EnglishLanguage "A disordered process, activity, or
state of the &%Organism as a whole, of a body system or systems, or of
multiple &%Organs or &%Tissues. Included here are normal responses to a
negative stimulus as well as patholologic conditions or states that are
less specific than a disease. Pathologic functions frequently have
systemic effects.")

(=>
   (and
      (instance ?PATH PathologicProcess)
      (experiencer ?PATH ?ORG))
   (exists (?PART ?DISEASE)
      (and
         (part ?PART ?ORG)
         (instance ?DISEASE DiseaseOrSyndrome)
         (attribute ?PART ?DISEASE))))

(instance pathologicSymptom BinaryPredicate)
(documentation pathologicSymptom EnglishLanguage "A symptom that is a possible
manifestation of a particular &%PathologicProcess.")
(termFormat EnglishLanguage pathologicSymptom "pathologic symptom")
(format EnglishLanguage pathologicSymptom "%2 is a &%symptom of %1")
(domain pathologicSymptom 1 DiseaseOrSyndrome)
(domainSubclass pathologicSymptom 2 PathologicProcess)

(=>
  (pathologicSymptom ?D ?S)
  (exists (?O)
    (increasesLikelihood
      (attribute ?O ?D)
      (exists (?I)
        (and
          (instance ?I ?S)
          (experiencer ?S ?O))))))
        
(relatedInternalConcept pathologicSymptom diseaseSymptom)

(subclass Injuring PathologicProcess)
(subclass Injuring Damaging)

(documentation Injuring EnglishLanguage "The process of creating a traumatic wound or
injury.  Since &%Injuring is not possible without some biologic function
of the organism being injured, it is a subclass of &%BiologicalProcess.")

(=>
    (instance ?INJ Injuring)
    (exists (?STRUCT)
        (and
            (instance ?STRUCT AnatomicalStructure)
            (patient ?INJ ?STRUCT))))

(=>
   (instance ?INJ Injuring)
   (and
      (instance ?INJ Damaging)
      (exists (?ORGANISM)
         (and
            (instance ?ORGANISM Organism)
            (patient ?INJ ?ORGANISM)))))

(=>
  (and
    (instance ?INJ Damaging)
    (instance ?ORGANISM Organism)
    (patient ?INJ ?ORGANISM))
  (instance ?INJ Injuring))

(subclass Poisoning Injuring)

(documentation Poisoning EnglishLanguage "A &%Poisoning is caused by an external
substance.  Since &%Poisoning is not possible without some biologic
function which affects the &%Organism being injured, it is a subclass
of &%BiologicalProcess.")

(=>
    (instance ?POISON Poisoning)
    (exists (?THING)
        (and
            (patient ?POISON ?THING)
            (or
                (instance ?THING Organism)
                (instance ?THING AnatomicalStructure)))))

(=>
  (instance ?POISON Poisoning)
  (exists (?SUBSTANCE)
    (and
      (instance ?SUBSTANCE BiologicallyActiveSubstance)
      (instrument ?POISON ?SUBSTANCE))))

(documentation NaturalProcess EnglishLanguage "A &%Process that take place in nature
spontanously.")

(subclass NaturalProcess Process)

(disjoint NaturalProcess IntentionalProcess)

(subclass IntentionalProcess Process)

(documentation IntentionalProcess EnglishLanguage "A &%Process that has a specific
purpose for the &%Agent who performs it.")

(=>
   (and
      (instance ?PROC IntentionalProcess)
      (agent ?PROC ?AGENT))
   (exists (?PURP)
      (hasPurposeForAgent ?PROC ?PURP ?AGENT)))

(=>
   (instance ?PROC IntentionalProcess)
   (exists (?AGENT)
      (and
         (instance ?AGENT CognitiveAgent)
         (agent ?PROC ?AGENT))))

(=>
   (and
      (instance ?PROC IntentionalProcess)
      (agent ?PROC ?HUMAN)
      (instance ?HUMAN Animal))
   (holdsDuring (WhenFn ?PROC) (attribute ?HUMAN Awake)))

(subclass IntentionalPsychologicalProcess IntentionalProcess)
(subclass IntentionalPsychologicalProcess PsychologicalProcess)

(documentation IntentionalPsychologicalProcess EnglishLanguage "An &%IntentionalProcess
is a process that can be realized entirely within the mind or brain of an &%Organism.
Thus,for example, &%Reasoning is a subclass of &%IntentionalPsychologicalProcess,
because one can reason simply by exercising one's mind/brain.  On the other
hand, &%RecreationOrExercise is not a subclass of &%IntentionalPsychologicalProcess,
because many instances of &%RecreationOrExercise necessarily have &%subProcesses
of &%BodyMotion.")

(subclass RecreationOrExercise IntentionalProcess)

(documentation RecreationOrExercise EnglishLanguage "A &%Process that is carried out for
the purpose of recreation or exercise.  Since &%RecreationOrExercise is a
subclass of &%IntentionalProcess, the intent of a process determines whether
or not it is an instance of the class.  Hence, if John and Bill watch the same
program on television, and John watches it to relax while Bill watches it solely
to satisfy an educational requirement, then John's watching the movie is an
instance of &%RecreationOrExercise, while Bill's is not (both cases of
watching the television program would however be in the class of &%Seeing, since
being an instance of this latter class is not determined by intention).")

(subclass OrganizationalProcess IntentionalProcess)

(documentation OrganizationalProcess EnglishLanguage "An &%IntentionalProcess that
involves an &%Organization.")

(=>
   (and
      (instance ?ACT OrganizationalProcess)
      (agent ?ACT ?AGENT))
   (or
      (instance ?AGENT Organization)
      (exists (?ORG)
         (and
            (instance ?ORG Organization)
            (member ?AGENT ?ORG)))))

(subclass Election OrganizationalProcess)

(documentation Election EnglishLanguage "&%Election is the class of events conducted by an
organization, in which qualified participants vote for officers, adopt
resolutions, or settle other issues in that &%Organization.")

(subclass ReligiousProcess OrganizationalProcess)

(documentation ReligiousProcess EnglishLanguage "An &%OrganizationalProcess that is
carried out within or by a &%ReligiousOrganization.")

(=>
   (and
      (instance ?ACT ReligiousProcess)
      (agent ?ACT ?AGENT))
   (or
      (instance ?AGENT ReligiousOrganization)
      (exists (?ORG)
         (and
            (member ?AGENT ?ORG)
            (instance ?ORG ReligiousOrganization)))))

(subclass JoiningAnOrganization OrganizationalProcess)

(documentation JoiningAnOrganization EnglishLanguage "The &%OrganizationalProcess of
becoming a &%member of an &%Organization.")

(=>
   (and
      (instance ?JOIN JoiningAnOrganization)
      (instance ?ORG Organization)
      (agent ?JOIN ?PERSON)
      (patient ?JOIN ?ORG))
   (and
      (holdsDuring (BeginFn (WhenFn ?JOIN)) (not (member ?PERSON ?ORG)))
      (holdsDuring (EndFn (WhenFn ?JOIN)) (member ?PERSON ?ORG))))

(subclass Hiring OrganizationalProcess)
(documentation Hiring EnglishLanguage "The &%OrganizationalProcess of
becoming a &%member of an &%Organization that will conduct a 
&%FinancialTransaction, paying the new member for his or her efforts.")

(=>
   (and
      (instance ?JOIN Hiring)
      (instance ?ORG Organization)
      (agent ?JOIN ?ORG)
      (patient ?JOIN ?PERSON))
   (and
      (holdsDuring (BeginFn (WhenFn ?JOIN)) (not (member ?PERSON ?ORG)))
      (holdsDuring (EndFn (WhenFn ?JOIN)) (member ?PERSON ?ORG))))
   
(=>
   (and
      (instance ?JOIN Hiring)
      (instance ?ORG Organization)
      (agent ?JOIN ?ORG)
      (patient ?JOIN ?PERSON))
    (holdsDuring 
      (ImmediateFutureFn 
        (WhenFn ?JOIN))
      (employs ?ORG ?PERSON)))
      
(=>
   (and
      (instance ?JOIN Hiring)
      (instance ?ORG Organization)
      (agent ?JOIN ?ORG)
      (patient ?JOIN ?PERSON))
   (expects ?ORG
     (exists (?FT)
       (and
         (instance ?FT FinancialTransaction)
         (agent ?FT ?ORG)
         (destination ?FT ?PERSON)
         (earlier (WhenFn ?JOIN) (WhenFn ?FT))))))      
   
(subclass LeavingAnOrganization OrganizationalProcess)
(disjoint LeavingAnOrganization JoiningAnOrganization)

(documentation LeavingAnOrganization EnglishLanguage "The &%OrganizationalProcess of
leaving an &%Organization, whether voluntarily or involuntarily.")

(=>
   (and
      (instance ?LEAVE LeavingAnOrganization)
      (instance ?ORG Organization)
      (agent ?LEAVE ?PERSON)
      (patient ?LEAVE ?ORG))
   (and
      (holdsDuring (BeginFn (WhenFn ?LEAVE)) (member ?PERSON ?ORG))
      (holdsDuring (EndFn (WhenFn ?LEAVE)) (not (member ?PERSON ?ORG)))))

(subclass Quitting LeavingAnOrganization)
(documentation LeavingAnOrganization EnglishLanguage "The &%OrganizationalProcess of
leaving an &%Organization, initiated voluntarily by the employee.")

(=>
  (and
    (instance ?LEAVE Quitting)
    (instance ?ORG Organization)
    (agent ?LEAVE ?PERSON)
    (patient ?LEAVE ?ORG))
  (desires ?PERSON
    (holdsDuring 
      (EndFn 
        (WhenFn ?LEAVE)) 
      (not (member ?PERSON ?ORG)))))
      
(documentation Firing EnglishLanguage "The &%OrganizationalProcess of
leaving an &%Organization involuntarily. Although initiated by the
organization, sometimes an employee may want to be fired because
of compensation from the organization or labor law issues.")
(subclass Firing OrganizationalProcess)

(=>
  (and
    (instance ?LEAVE Firing)
    (instance ?ORG Organization)
    (agent ?LEAVE ?ORG)
    (patient ?LEAVE ?P))
  (and
    (holdsDuring (BeginFn (WhenFn ?LEAVE)) (member ?P ?ORG))
    (holdsDuring (EndFn (WhenFn ?LEAVE)) (not (member ?P ?ORG)))))
      
(subclass Volunteering Offering)
(documentation Volunteering EnglishLanguage "&%Offering to work without
financial compensation.")

(subclass Graduation LeavingAnOrganization)

(documentation Graduation EnglishLanguage "The &%OrganizationalProcess of graduating
from an &%EducationalOrganization.")

(=>
  (and
    (instance ?GRAD Graduation)
    (agent ?GRAD ?ORG))
  (instance ?ORG EducationalOrganization))

(subclass Matriculation JoiningAnOrganization)

(documentation Matriculation EnglishLanguage "The &%OrganizationalProcess of joining an
&%EducationalOrganization as a student.")

(=>
  (and
    (instance ?MAT Matriculation)
    (agent ?MAT ?ORG))
  (instance ?ORG EducationalOrganization))

(subclass Hiring JoiningAnOrganization)

(documentation Hiring EnglishLanguage "&%OrganizationalProcesses where someone is made an
employee of an &%Organization.")

(=>
   (and
      (instance ?HIRE Hiring)
      (instance ?ORG Organization)
      (agent ?HIRE ?ORG)
      (patient ?HIRE ?PERSON))
   (and
      (holdsDuring (BeginFn (WhenFn ?HIRE)) (not (employs ?ORG ?PERSON)))
      (holdsDuring (EndFn (WhenFn ?HIRE)) (employs ?ORG ?PERSON))))

(subclass TerminatingEmployment LeavingAnOrganization)

(documentation TerminatingEmployment EnglishLanguage "&%OrganizationalProcesses where
someone ceases to be an employee of an &%Organization.  Note that this covers being
laid off, being fired, and voluntarily leaving a job.")

(=>
   (and
      (instance ?FIRE TerminatingEmployment)
      (instance ?ORG Organization)
      (agent ?FIRE ?ORG)
      (patient ?FIRE ?PERSON))
   (and
      (holdsDuring (BeginFn (WhenFn ?FIRE)) (employs ?ORG ?PERSON))
      (holdsDuring (EndFn (WhenFn ?FIRE)) (not (employs ?ORG ?PERSON)))))

(subclass PoliticalProcess OrganizationalProcess)

(documentation PoliticalProcess EnglishLanguage "An &%OrganizationalProcess carried
out by, for or against officially constituted governments.  Some examples
would be voting on proposed legislation, electing a government representative,
or even overthrowing a government in a revolution.")

(=>
   (instance ?PROC PoliticalProcess)
   (exists (?POL)
      (and
         (or
            (instance ?POL Government)
            (exists (?GOV)
               (and
                  (instance ?GOV Government)
                  (member ?POL ?GOV))))
         (or
            (agent ?PROC ?POL)
            (patient ?PROC ?POL)))))

(subclass JudicialProcess PoliticalProcess)

(documentation JudicialProcess EnglishLanguage "Any legal proceeding which is conducted
by a &%JudicialOrganization.  Note that there is an important difference
between the concepts &%LegalAction and &%JudicialProcess.  The former
refers to legal claims that are brought by a plaintiff, e.g. law suits,
while the second refers to trials and other sorts of judicial hearings
where the merits of a &%LegalAction are decided.")

(=>
   (and
      (instance ?PROCESS JudicialProcess)
      (agent ?PROCESS ?ORG)
      (instance ?ORG Organization))
   (instance ?ORG JudicialOrganization))

(subclass LegalDecision JudicialProcess)
(subclass LegalDecision Declaring)

(documentation LegalDecision EnglishLanguage "A decision issued by a court with respect to
a &%LegalAction.  Note that a &%LegalDecision is the act of &%Declaring a decision of a
court, it is not the act of judge or jury &%Deciding the merits  of a particular &%LegalAction.")

(=>
   (instance ?DECISION LegalDecision)
   (exists (?ACTION)
      (and
         (instance ?ACTION LegalAction)
         (refers ?DECISION ?ACTION))))

(=>
   (instance ?DECISION LegalDecision)
   (exists (?DECIDE)
      (and
         (instance ?DECIDE Deciding)
         (earlier (WhenFn ?DECIDE) (WhenFn ?DECISION)))))

(subclass MilitaryProcess PoliticalProcess)
(subclass MilitaryProcess OrganizationalProcess)

(documentation MilitaryProcess EnglishLanguage "&%Process that is carried out by a
military organization.  Note that this class covers &%Processes, e.g. military operations,
that are the result of careful planning, as well as those which are unscripted.")

(subclass RegulatoryProcess Guiding)

(documentation RegulatoryProcess EnglishLanguage "An &%Guiding whose aim is the
enforcement of rules or regulations.  Note the key differences between &%RegulatoryProcess
and the related concept &%Managing.  The latter implies a long-term relationship
between a single manager and limited number of agents who are managed, while the
former implies a normative standard to which the activities of the regulated are
referred.")

(subclass Managing OrganizationalProcess)
(subclass Managing Guiding)

(documentation Managing EnglishLanguage "&%OrganizationalProcesses that involve overseeing
the activities of others.  Note the key differences between &%RegulatoryProcess
and its sibling &%Managing.  The latter implies a long-term relationship between
the manager and the managed, while the former implies a normative standard to which
the activities of the regulated are referred.")

(subclass Planning IntentionalPsychologicalProcess)

(documentation Planning EnglishLanguage "Specifying a set of actions in order to meet a
set of goals or objectives.")

(=>
  (and
    (instance ?EVENT Planning)
    (result ?EVENT ?CBO)
    (instance ?CBO ContentBearingObject))
  (exists (?PLAN)
    (and
      (instance ?PLAN Plan)
      (containsInformation ?CBO ?PLAN))))

(subclass Designing IntentionalProcess)
(subclass Designing ContentDevelopment)

(documentation Designing EnglishLanguage "The spatial analogue of &%Planning. &%Designing
a &%Collection of &%Objects involves determining a placement of the &%Objects
with respect to one another and perhaps other &%Objects as well, in order to
satisfy a particular purpose.")

(subclass Interpreting IntentionalPsychologicalProcess)

(documentation Interpreting EnglishLanguage "Any &%Process of assigning a &%Proposition to
a &%Text, i.e. understanding the &%Text.")

(=>
   (and
      (instance ?INTERPRET Interpreting)
      (agent ?INTERPRET ?AGENT)
      (patient ?INTERPRET ?CONTENT)
      (instance ?CONTENT ContentBearingObject))
   (exists (?PROP)
      (holdsDuring (EndFn (WhenFn ?INTERPRET)) (believes ?AGENT (containsInformation ?CONTENT ?PROP)))))

(subclass QuantityChange InternalChange)
(partition QuantityChange Increasing Decreasing)

(documentation QuantityChange EnglishLanguage "Any &%InternalChange where a
&%PhysicalQuantity associated with the &%patient is altered.")

(subclass Increasing QuantityChange)
(relatedInternalConcept Increasing Putting)

(documentation Increasing EnglishLanguage "Any &%QuantityChange where the
&%PhysicalQuantity is increased.")

(=>
  (and
    (instance ?INCREASE Increasing)
    (patient ?INCREASE ?OBJ))
  (exists (?UNIT ?QUANT1 ?QUANT2)
    (and
      (holdsDuring
        (BeginFn (WhenFn ?INCREASE))
        (equal (MeasureFn ?OBJ ?UNIT) ?QUANT1))
      (holdsDuring
        (EndFn (WhenFn ?INCREASE))
        (equal (MeasureFn ?OBJ ?UNIT) ?QUANT2))
      (greaterThan ?QUANT2 ?QUANT1))))

(subclass Heating Increasing)
(disjoint Heating Cooling)

(documentation Heating EnglishLanguage "Any &%Increasing &%Process where the
&%PhysicalQuantity increased is a &%TemperatureMeasure.")

(=>
   (and
      (instance ?HEAT Heating)
      (patient ?HEAT ?OBJ))
   (exists (?UNIT ?QUANT1 ?QUANT2)
     (and
         (instance ?UNIT TemperatureMeasure)
         (holdsDuring
           (BeginFn (WhenFn ?HEAT))
           (equal (MeasureFn ?OBJ ?UNIT) ?QUANT1))
         (holdsDuring
           (EndFn (WhenFn ?HEAT))
           (equal (MeasureFn ?OBJ ?UNIT) ?QUANT2))
         (greaterThan ?QUANT2 ?QUANT1))))

(subclass Decreasing QuantityChange)
(relatedInternalConcept Decreasing Removing)

(documentation Decreasing EnglishLanguage "Any &%QuantityChange where the
&%PhysicalQuantity is decreased.")

(=>
   (and
      (instance ?DECREASE Decreasing)
      (patient ?DECREASE ?OBJ))
   (exists (?UNIT ?QUANT1 ?QUANT2)
     (and
       (holdsDuring
         (BeginFn
           (WhenFn ?DECREASE))
           (equal (MeasureFn ?OBJ ?UNIT) ?QUANT1))
       (holdsDuring
         (EndFn (WhenFn ?DECREASE))
         (equal (MeasureFn ?OBJ ?UNIT) ?QUANT2))
       (lessThan ?QUANT2 ?QUANT1))))

(subclass Cooling Decreasing)

(documentation Cooling EnglishLanguage "Any &%Decreasing &%Process where the
&%PhysicalQuantity decreased is a &%TemperatureMeasure.")

(=>
   (and
      (instance ?COOL Cooling)
      (patient ?COOL ?OBJ))
   (exists (?UNIT ?QUANT1 ?QUANT2)
     (and
       (instance ?UNIT TemperatureMeasure)
       (holdsDuring
         (BeginFn (WhenFn ?COOL))
         (equal (MeasureFn ?OBJ ?UNIT) ?QUANT1))
       (holdsDuring
         (EndFn (WhenFn ?COOL))
         (equal (MeasureFn ?OBJ ?UNIT) ?QUANT2))
       (lessThan ?QUANT2 ?QUANT1))))

;; NS: moved from Mid-level-ontology.kif
(instance moves CaseRole)
(instance moves TotalValuedRelation)
(domain moves 1 Motion)
(domain moves 2 Object)

(documentation moves EnglishLanguage "(&%moves ?MOTION ?OBJECT) means that during
the &%Motion event ?MOTION, ?OBJECT moves.  This does not
necessarily imply that the location of ?OBJECT changes during
?MOTION.  See also &%changesLocation and &%Translocation.")

(subrelation moves involvedInEvent)

;; NS: moved from Mid-level-ontology.kif
(instance changesLocation CaseRole)
(instance changesLocation TotalValuedRelation)
(domain changesLocation 1 Translocation)
(domain changesLocation 2 Object)

(documentation changesLocation EnglishLanguage "(&%changesLocation ?EVENT
?OBJECT) means that during the &%Translocation event ?EVENT,
?OBJECT's location changes.  ?OBJECT might also be the &%agent,
&%patient, or &%experiencer of ?EVENT.")

(subrelation changesLocation moves)

;; MS: added rule.
(=>
  (changesLocation ?EVENT ?OBJ)
  (and
    (instance ?EVENT Translocation)
    (instance ?OBJ Object)
    (or
      (patient ?EVENT ?OBJ)
      (agent ?EVENT ?OBJ)
      (experiencer ?EVENT ?OBJ))))

(subclass Motion Process)

(documentation Motion EnglishLanguage "Any &%Process of movement.")

;; NS: add.
(=>
  (instance ?MOTION Motion)
  (exists (?OBJ)
    (and
      (instance ?OBJ Object)
      (moves ?MOTION ?OBJ))))

;; NS: delete.  The imprecision of &%patient here will be a problem if
;; this rule is ever used in inference, given the number and variety
;; of subclasses of Motion.
;; (=>
;;    (and
;;       (instance ?MOTION Motion)
;;       (patient ?MOTION ?OBJ)
;;       (origin ?MOTION ?PLACE))
;;    (holdsDuring (BeginFn (WhenFn ?MOTION)) (located ?OBJ ?PLACE)))

;; NS: add.
(=>
   (and
      (instance ?MOTION Motion)
      (moves ?MOTION ?OBJ)
      (origin ?MOTION ?PLACE))
   (holdsDuring (BeginFn (WhenFn ?MOTION)) (located ?OBJ ?PLACE)))

;; NS: delete.
;; (=>
;;    (and
;;       (instance ?MOTION Motion)
;;       (patient ?MOTION ?OBJ)
;;       (destination ?MOTION ?PLACE))
;;    (holdsDuring (EndFn (WhenFn ?MOTION)) (located ?OBJ ?PLACE)))

;; NS: add.
(=>
   (and
      (instance ?MOTION Motion)
      (moves ?MOTION ?OBJ)
      (destination ?MOTION ?PLACE))
   (holdsDuring (EndFn (WhenFn ?MOTION)) (located ?OBJ ?PLACE)))

(subclass MotionUpward Motion)
(disjoint MotionUpward MotionDownward)

(documentation MotionUpward EnglishLanguage "&%Motion where an &%Object is moving away
from the ground.")

(subclass MotionDownward Motion)

(documentation MotionDownward EnglishLanguage "&%Motion where an &%Object is moving toward
the ground.")

(instance path CaseRole)
(instance path TotalValuedRelation)
;; KJN: Deleting this as it is redundant.
;;(subrelation path involvedInEvent)
(subrelation path eventPartlyLocated)
(domain path 1 Motion)
(domain path 2 Object)

(documentation path EnglishLanguage "(&%path ?MOTION ?PATH) means that ?PATH is a route
along which ?MOTION occurs.  For example, Highway 101 is the path in the
following proposition:  the car drove up Highway 101.")

(=>
   (and
      (path ?PROCESS ?PATH1)
      (origin ?PROCESS ?SOURCE)
      (destination ?PROCESS ?DEST)
      (length ?PATH1 (MeasureFn ?MEASURE1 ?U))
      (distance ?SOURCE ?DEST (MeasureFn ?DISTANCE ?U))
      (not
        (greaterThan ?MEASURE1 ?DISTANCE))
      (part ?OBJ ?PATH1))
    (between ?SOURCE ?OBJ ?DEST))

(subclass BodyMotion Motion)

(documentation BodyMotion EnglishLanguage "Any &%Motion where the &%agent is an &%Organism
and the &%patient is a &%BodyPart.")

;; NS: delete.
;; (=>
;;    (instance ?MOTION BodyMotion)
;;    (exists (?OBJ ?AGENT)
;;       (and
;;          (instance ?OBJ BodyPart)
;;          (patient ?MOTION ?OBJ)
;;          (instance ?AGENT Organism)
;;          (agent ?MOTION ?AGENT))))

;; NS: add.
(=>
  (and
    (instance ?MOTION BodyMotion)
    (moves ?MOTION ?OBJ))
  (and
    (instance ?OBJ BodyPart)
    (patient ?MOTION ?OBJ)))

;; NS: add.
(=>
  (instance ?MOTION BodyMotion)
  (exists (?AGENT)
    (and
      (instance ?AGENT Organism)
      (agent ?MOTION ?AGENT))))

;; NS: delete.  &%LinguisticGeneration does not exist.
;; (documentation Speaking EnglishLanguage "Any &%LinguisticGeneration
;; which is also a &%Vocalizing, i.e. any &%LinguisticCommunication by a
;; &%Human which involves his/her vocal cords.")

;; NS: add.

;; KJN: Deleting. Fixed Music ontology and replacing it with concepts from that.
;;(subclass Singing Speaking)
;;(subclass Singing Music)
;;(documentation Singing EnglishLanguage "&%Speaking that is also &%Music.")

(subclass Ambulating BodyMotion)
(subclass Ambulating IntentionalProcess)
(subclass Ambulating Translocation)
(partition Ambulating Walking Running)

(documentation Ambulating EnglishLanguage "Any &%BodyMotion which is accomplished by
means of the legs of an &%Animal for the purpose of moving from one
point to another.")

(subclass Walking Ambulating)

(documentation Walking EnglishLanguage "&%Ambulating relatively slowly, i.e. moving in
such a way that at least one foot is always in contact with the ground.")

(subclass Running Ambulating)

(documentation Running EnglishLanguage "&%Ambulating relatively quickly, i.e. moving in
such a way that, with each step, neither foot is in contact with the ground for a
period of time.")

(=>
   (and
      (instance ?WALK Walking)
      (instance ?RUN Running)
      (agent ?WALK ?AGENT)
      (agent ?RUN ?AGENT)
      (holdsDuring (WhenFn ?WALK) (measure ?AGENT (SpeedFn ?LENGTH1 ?TIME)))
      (holdsDuring (WhenFn ?RUN) (measure ?AGENT (SpeedFn ?LENGTH2 ?TIME))))
   (greaterThan ?LENGTH2 ?LENGTH1))

(subclass Swimming BodyMotion)
(subclass Swimming IntentionalProcess)

(documentation Swimming EnglishLanguage "Any deliberate and controlled &%BodyMotion
through water that is accomplished by an &%Organism.")

(=>
   (and
      (instance ?SWIM Swimming)
      (agent ?SWIM ?AGENT))
   (exists (?AREA)
      (and
         (instance ?AREA WaterArea)
         (located ?AGENT ?AREA))))

(subclass Dancing BodyMotion)

(documentation Dancing EnglishLanguage "Any &%BodyMotion of &%Humans which is deliberately
coordinated with music.")

(subclass GeologicalProcess Motion)
(subclass GeologicalProcess InternalChange)
(disjoint GeologicalProcess IntentionalProcess)

(documentation GeologicalProcess EnglishLanguage "The class of activities that
are caused by geological forces and affect geological features,
and which may affect the biosphere as well.")

(subclass WeatherProcess Motion)
(disjoint WeatherProcess IntentionalProcess)

(documentation WeatherProcess EnglishLanguage "&%WeatherProcess is the broadest class of
processes that involve weather, including weather seasons (not to be confused
with instances of &%SeasonOfYear), weather systems, and short-term weather
events.")

(subclass Precipitation WeatherProcess)
(subclass Precipitation WaterMotion)
(subclass Precipitation Falling)

(documentation Precipitation EnglishLanguage "&%Precipitation is the process of
water molecules falling from the air to the ground, in either a
liquid or frozen state.")

(=>
  (instance ?PROCESS Precipitation)
  (exists (?STUFF)
    (and
      (instance ?STUFF Water)
      (patient ?PROCESS ?STUFF))))

(subclass LiquidMotion Motion)

(documentation LiquidMotion EnglishLanguage "Any &%Motion where the &%patient is a
&%Liquid.  This class would cover, in particular, the flow of
&%Water.")

(=>
   (and
      (instance ?MOTION LiquidMotion)
      (patient ?MOTION ?OBJ))
   (attribute ?OBJ Liquid))

(subclass WaterMotion LiquidMotion)

(documentation WaterMotion EnglishLanguage "Any &%LiquidMotion where the &%Liquid is
&%Water.")

(=>
   (instance ?MOTION WaterMotion)
   (exists (?WATER)
      (and
         (patient ?MOTION ?WATER)
         (instance ?WATER Water))))

(subclass GasMotion Motion)

(documentation GasMotion EnglishLanguage "Any &%Motion where the &%patient is a
&%Gas.  This class would cover, in particular, the motion of
&%Air, e.g. a breeze or wind.")

(=>
   (and
      (instance ?MOTION GasMotion)
      (patient ?MOTION ?OBJ))
   (attribute ?OBJ Gas))

(subclass Wind GasMotion)

(documentation Wind EnglishLanguage "Any &%Motion of &%Air.")

(subclass DirectionChange Motion)

(documentation DirectionChange EnglishLanguage "The act of changing the direction in
which the &%patient of the act is oriented.")

(=>
   (instance ?PROC DirectionChange)
   (exists (?ATTR)
      (and
         (instance ?ATTR DirectionalAttribute)
         (or
            (and
               (holdsDuring (BeginFn (WhenFn ?PROC)) (manner ?PROC ?ATTR))
               (holdsDuring (EndFn (WhenFn ?PROC)) (not (manner ?PROC ?ATTR))))
            (and
               (holdsDuring (EndFn (WhenFn ?PROC)) (manner ?PROC ?ATTR))
               (holdsDuring (BeginFn (WhenFn ?PROC)) (not (manner ?PROC ?ATTR))))))))

(subclass Transfer Translocation)

(documentation Transfer EnglishLanguage "Any &%instance of &%Translocation where the
&%agent and the &%patient are not the same thing.")

(=>
   (and
      (instance ?TRANSFER Transfer)
      (agent ?TRANSFER ?AGENT)
      (patient ?TRANSFER ?PATIENT))
   (not
      (equal ?AGENT ?PATIENT)))

(=>
  (and
    (instance ?T1 Translocation)
    (instance ?T2 Translocation)
    (origin ?T1 ?O1)
    (origin ?T2 ?D1)
    (destination ?T1 ?D1)
    (destination ?T2 ?D2)
    (experiencer ?T1 ?P)
    (experiencer ?T2 ?P))
  (exists (?T)
    (and
      (instance ?T Translocation)
      (origin ?T ?O1)
      (destination ?T ?D2)
      (subProcess ?T1 ?T)
      (subProcess ?T2 ?T)
      (experiencer ?T ?P)
      (starts
        (WhenFn ?T1)
        (WhenFn ?T))
      (finishes
        (WhenFn ?T2)
        (WhenFn ?T)))))

(=>
  (and
    (instance ?T Transfer)
    (objectTransferred ?T ?O)
    (orientation ?O2 ?O Inside))
  (objectTransferred ?T ?O2))

(=>
  (and
    (instance ?T Transfer)
    (objectTransferred ?T ?O)
    (orientation ?O2 ?O On))
  (objectTransferred ?T ?O2))

(subclass Carrying Transfer)

(documentation Carrying EnglishLanguage "&%Transfer from one point to another by means of
an &%Animal or &%Human.")

(=>
   (instance ?CARRY Carrying)
   (exists (?ANIMAL)
      (and
         (instance ?ANIMAL Animal)
         (instrument ?CARRY ?ANIMAL))))

(subclass Removing Transfer)

(documentation Removing EnglishLanguage "The &%Class of &%Processes where something is
taken away from a location.  Note that the thing removed and the location
are specified with the &%CaseRoles &%patient and &%origin, respectively.")

(=>
   (and
      (instance ?REMOVE Removing)
      (origin ?REMOVE ?PLACE)
      (patient ?REMOVE ?OBJ))
   (and
      (holdsDuring (BeginFn (WhenFn ?REMOVE)) (located ?OBJ ?PLACE))
      (holdsDuring (EndFn (WhenFn ?REMOVE)) (not (located ?OBJ ?PLACE)))))

(subclass Uncovering Removing)
(disjoint Uncovering Covering)

(documentation Uncovering EnglishLanguage "The &%Class of &%Removing processes where the
&%agent uncovers the &%patient, either completely or only partially.")

(subclass Putting Transfer)

(documentation Putting EnglishLanguage "The &%Class of &%Processes where something is put
in a location.  Note that the location is specified with the &%CaseRole
&%destination.")

(=>
   (and
      (instance ?PUT Putting)
      (destination ?PUT ?PLACE)
      (patient ?PUT ?OBJ))
   (and
      (holdsDuring (BeginFn (WhenFn ?PUT)) (not (located ?OBJ ?PLACE)))
      (holdsDuring (EndFn (WhenFn ?PUT)) (located ?OBJ ?PLACE))))

(subclass Covering Putting)

(documentation Covering EnglishLanguage "The &%Class of &%Putting processes where the
&%agent covers the &%patient, either completely or only partially, with something
else.")

(subclass Inserting Putting)

(documentation Inserting EnglishLanguage "&%Putting one thing inside of another thing.")

(=>
   (and
      (instance ?INSERT Inserting)
      (patient ?INSERT ?OBJ1)
      (destination ?INSERT ?OBJ2))
   (and
      (holdsDuring (BeginFn (WhenFn ?INSERT)) (not (contains ?OBJ2 ?OBJ1)))
      (holdsDuring (EndFn (WhenFn ?INSERT)) (contains ?OBJ2 ?OBJ1))))

(subclass Injecting Inserting)

(documentation Injecting EnglishLanguage "&%Inserting a &%BiologicallyActiveSubstance into
an &%Animal or a &%Human with a syringe.")

(=>
   (instance ?INJECT Injecting)
   (exists (?SUBSTANCE ?ANIMAL)
      (and
         (patient ?INJECT ?SUBSTANCE)
         (instance ?SUBSTANCE BiologicallyActiveSubstance)
         (attribute ?SUBSTANCE Liquid)
         (destination ?INJECT ?ANIMAL)
         (instance ?ANIMAL Animal))))

(subclass Substituting Transfer)
(subclass Substituting DualObjectProcess)

(documentation Substituting EnglishLanguage "The &%Class of &%Transfers where one thing is
replaced with something else.")

(=>
   (instance ?SUB Substituting)
   (exists (?PUT ?REMOVE ?OBJ1 ?OBJ2 ?PLACE)
      (and
         (instance ?PUT Putting)
         (instance ?REMOVE Removing)
         (subProcess ?PUT ?SUB)
         (subProcess ?REMOVE ?SUB)
         (patient ?REMOVE ?OBJ1)
         (origin ?REMOVE ?PLACE)
         (patient ?PUT ?OBJ2)
         (destination ?PUT ?PLACE)
         (not (equal ?OBJ1 ?OBJ2)))))

(subclass Impelling Transfer)

(documentation Impelling EnglishLanguage "The &%subclass of &%Transfer where the &%patient
travels through space by means of a sudden, forceful event.  Some examples
would be shooting, throwing, tossing, etc.")

(subclass Shooting Impelling)

(documentation Shooting EnglishLanguage "The &%subclass of &%Impelling where the &%patient
is a projectile that is fired through the air by means of some sort of
&%Device.")

(subclass Touching Transfer)

(documentation Touching EnglishLanguage "Any &%Transfer where two &%Objects are
brought into immediate physical contact with one another.")

(=>
   (and
      (instance ?TOUCH Touching)
      (agent ?TOUCH ?OBJ1)
      (patient ?TOUCH ?OBJ2))
   (and
      (holdsDuring (BeginFn (WhenFn ?TOUCH)) (not (connected ?OBJ1 ?OBJ2)))
      (holdsDuring (EndFn (WhenFn ?TOUCH)) (connected ?OBJ1 ?OBJ2))))

(subrelation grasps meetsSpatially)
(instance grasps BinaryPredicate)
(domain grasps 1 Animal)
(domain grasps 2 Object)

(documentation grasps EnglishLanguage "The state of grasping an &%Object.  (&%grasps
?ANIMAL ?OBJ) means that the &%Animal ?ANIMAL is intentionally holding
on to the &%Object ?OBJ.")

(subclass Grabbing Touching)
(subclass Grabbing Attaching)

(documentation Grabbing EnglishLanguage "Any instance of &%Touching which results in
a situation where the &%agent &%grasps the &%patient of the &%Touching.")

(=>
   (and
      (instance ?GRAB Grabbing)
      (agent ?GRAB ?AGENT)
      (patient ?GRAB ?THING))
   (and
      (holdsDuring (BeginFn (WhenFn ?GRAB)) (not (grasps ?AGENT ?THING)))
      (holdsDuring (EndFn (WhenFn ?GRAB)) (grasps ?AGENT ?THING))))

(subclass Releasing Transfer)

(documentation Releasing EnglishLanguage "Any instance of &%Transfer which results in
a situation where it is not the case that the &%agent &%grasps something
which he/she &%grasps previously.")

(=>
   (and
      (instance ?RELEASE Releasing)
      (agent ?GRAB ?AGENT)
      (patient ?GRAB ?THING))
   (and
      (holdsDuring (BeginFn (WhenFn ?RELEASE)) (grasps ?AGENT ?THING))
      (holdsDuring (EndFn (WhenFn ?RELEASE)) (not (grasps ?AGENT ?THING)))))

(subclass Impacting Touching)

(documentation Impacting EnglishLanguage "Any &%Touching where something comes into
sudden, forceful, physical contact with something else.  Some examples
would be striking, knocking, whipping etc.")

(=>
   (and
      (instance ?IMPACT Impacting)
      (patient ?IMPACT ?OBJ))
   (exists (?IMPEL)
      (and
         (instance ?IMPEL Impelling)
         (patient ?IMPEL ?OBJ)
         (earlier (WhenFn ?IMPEL) (WhenFn ?IMPACT)))))

(subclass Translocation Motion)

(documentation Translocation EnglishLanguage "&%Translocation is that class of &%Motions
in which an object moves from one place to another.  In the case of round
trips, the &%origin and &%destination are the same, but the intervening
motion passes through other locations.  &%Translocation represents linear
motion, in contrast to rotation or other movement in place.  A vehicle is
not necessary, &%Ambulating is a kind of &%Translocation.")

(=>
  (and
    (instance ?MOVEMENT Translocation)
    (origin ?MOVEMENT ?PLACE1))
  (exists (?PLACE2 ?STAGE)
    (and
      (instance ?PLACE2 Region)
      (not (equal ?PLACE1 ?PLACE2))
      (subProcess ?STAGE ?MOVEMENT)
      (located ?STAGE ?PLACE2))))

(=>
  (instance ?T Translocation)
  (exists (?O ?D ?P)
    (and
      (instance ?O Object)
      (instance ?D Object)
      (instance ?P Object)
      (path ?T ?P)
      (origin ?T ?O)
      (destination ?T ?D))))

(subclass Falling Translocation)
(subclass Falling MotionDownward)

(documentation Falling EnglishLanguage "&%Falling is the class of events in
which something moves from a higher location to a lower location
under the force of gravity.")

(=>
  (and
    (instance ?DROP Falling)
    (origin ?DROP ?START)
    (destination ?DROP ?FINISH))
  (orientation ?FINISH ?START Below))

(subclass Transportation Translocation)
(relatedInternalConcept Transportation TransportationDevice)

(documentation Transportation EnglishLanguage "&%Motion from one point to another by means
of a &%TransportationDevice.")

(=>
   (instance ?TRANS Transportation)
   (exists (?DEVICE)
      (and
         (instance ?DEVICE TransportationDevice)
         (instrument ?TRANS ?DEVICE))))

(subclass Guiding IntentionalProcess)

(documentation Guiding EnglishLanguage "Any &%IntentionalProcess where the &%agent tries
to direct the behavior of another &%Object, whether an &%Agent or not.")

(subclass Driving Guiding)
(subclass Driving Transportation)

(documentation Driving EnglishLanguage "Controlling the direction and/or speed of a
&%Vehicle.  This includes navigating a ship, driving a car or truck,
operating a train, etc.")

(=>
   (instance ?DRIVE Driving)
   (exists (?VEHICLE)
      (and
         (instance ?VEHICLE Vehicle)
         (patient ?DRIVE ?VEHICLE))))

(subclass EducationalProcess Guiding)

(documentation EducationalProcess EnglishLanguage "Any &%Process which is intended to
result in &%Learning.")

(=>
  (and
    (instance ?EDUCATION EducationalProcess)
    (patient ?EDUCATION ?PERSON))
  (hasPurpose ?EDUCATION
    (exists (?LEARN)
      (and
        (instance ?LEARN Learning)
        (patient ?LEARN ?PERSON)))))

(subclass ChangeOfPossession SocialInteraction)
(relatedInternalConcept ChangeOfPossession possesses)

(documentation ChangeOfPossession EnglishLanguage "The &%Class of &%Processes where
ownership of something is transferred from one &%Agent to another.")

(=>
   (and
      (instance ?CHANGE ChangeOfPossession)
      (patient ?CHANGE ?OBJ)
      (holdsDuring (BeginFn (WhenFn ?CHANGE)) (possesses ?AGENT1 ?OBJ))
      (holdsDuring (EndFn (WhenFn ?CHANGE)) (possesses ?AGENT2 ?OBJ)))
   (not
      (equal ?AGENT1 ?AGENT2)))

(=>
   (and
      (instance ?CHANGE ChangeOfPossession)
      (origin ?CHANGE ?AGENT1)
      (destination ?CHANGE ?AGENT2)
      (instance ?AGENT1 Agent)
      (instance ?AGENT2 Agent)
      (patient ?CHANGE ?OBJ))
   (and
      (holdsDuring (BeginFn (WhenFn ?CHANGE)) (possesses ?AGENT1 ?OBJ))
      (holdsDuring (EndFn (WhenFn ?CHANGE)) (possesses ?AGENT2 ?OBJ))))

(subclass Giving ChangeOfPossession)

(documentation Giving EnglishLanguage "The &%subclass of &%ChangeOfPossession where the
&%agent gives the &%destination something.")

(=>
   (and
      (instance ?GIVE Giving)
      (agent ?GIVE ?AGENT1)
      (destination ?GIVE ?AGENT2)
      (instance ?AGENT2 Agent)
      (patient ?GIVE ?OBJ))
   (exists (?GET)
      (and
         (instance ?GET Getting)
         (agent ?GET ?AGENT2)
         (origin ?GET ?AGENT1)
         (patient ?GET ?OBJ))))

(=>
   (and
      (instance ?GIVE Giving)
      (agent ?GIVE ?AGENT))
   (origin ?GIVE ?AGENT))

(subclass Funding Giving)

(documentation Funding EnglishLanguage "Any instance of &%Giving where the &%patient is an
instance of &%Currency.  Note that this class covers both financing, e.g.
where a firm funds a software company with venture capital with the agreement
that a certain percentage of the profits on the investment will be returned
to the firm, and instances of &%UnilateralGiving, e.g. providing a tuition
waiver and/or a stipend to a student as part of scholarship or fellowship.")

(=>
   (instance ?FUND Funding)
   (exists (?MONEY)
      (and
         (instance ?MONEY Currency)
         (patient ?FUND ?MONEY))))

(subclass UnilateralGiving Giving)

(documentation UnilateralGiving EnglishLanguage "Any instance of &%Giving that is not part
of a &%Transaction.  In other words, any instance of &%Giving where nothing
is received in return.  Some examples of &%UnilateralGiving are:  honorary
awards, gifts, and financial grants.")

(=>
   (instance ?GIVE UnilateralGiving)
   (not
      (exists (?TRANS)
         (and
            (instance ?TRANS Transaction)
            (subProcess ?GIVE ?TRANS)))))

(subclass Lending Giving)

(documentation Lending EnglishLanguage "The &%subclass of &%Giving &%Processes where
the &%agent gives the &%destination something for a limited period of
time with the expectation that it will be returned later (perhaps with
interest).")

(=>
  (and
    (instance ?BORROW Borrowing)
    (agent ?BORROW ?AGENT1)
    (origin ?BORROW ?AGENT2)
    (patient ?BORROW ?OBJECT))
  (exists (?LEND)
    (and
      (instance ?LEND Lending)
      (agent ?LEND ?AGENT2)
      (destination ?LEND ?AGENT1)
      (patient ?LEND ?OBJECT))))

(=>
  (and
    (instance ?LEND Lending)
    (agent ?LEND ?AGENT2)
    (destination ?LEND ?AGENT1)
    (patient ?LEND ?OBJECT))
  (exists (?BORROW)
    (and
      (instance ?BORROW Borrowing)
      (agent ?BORROW ?AGENT1)
      (origin ?BORROW ?AGENT2)
      (patient ?BORROW ?OBJECT))))

(subclass GivingBack Giving)

(documentation GivingBack EnglishLanguage "Any instance of &%Giving where the &%agent
gives something to the &%destination which was previously given to the &%agent by
the &%destination, e.g. returing a book that was borrowed from someone.")

(=>
   (and
      (instance ?RETURN GivingBack)
      (agent ?RETURN ?AGENT)
      (destination ?RETURN ?DEST))
   (exists (?GIVE)
      (and
         (instance ?GIVE Giving)
         (agent ?GIVE ?DEST)
         (destination ?GIVE ?AGENT)
         (earlier (WhenFn ?GIVE) (WhenFn ?RETURN)))))

(subclass Getting ChangeOfPossession)

(documentation Getting EnglishLanguage "The &%subclass of &%ChangeOfPossession where the
&%agent gets something.  Note that the source from which something is
obtained is specified with the &%origin &%CaseRole.")

(=>
   (and
      (instance ?GET Getting)
      (agent ?GET ?AGENT))
   (destination ?GET ?AGENT))

(subclass UnilateralGetting Getting)
(relatedInternalConcept UnilateralGetting UnilateralGiving)

(documentation UnilateralGetting EnglishLanguage "Any instance of &%Getting that is not
part of a &%Transaction.  In other words, any instance of &%Getting where nothing
is given in return.  Some examples of &%UnilateralGetting are:  appropriating,
commandeering, stealing, etc.")

(=>
   (instance ?GET UnilateralGetting)
   (not
      (exists (?TRANS)
         (and
            (instance ?TRANS Transaction)
            (subProcess ?GET ?TRANS)))))

(subclass Borrowing Getting)

(documentation Borrowing EnglishLanguage "The &%subclass of &%Getting &%Processes where
the &%agent gets something for a limited period of time with the expectation
that it will be returned later (perhaps with interest).")

(subclass Transaction ChangeOfPossession)
(subclass Transaction DualObjectProcess)

(documentation Transaction EnglishLanguage "The &%subclass of &%ChangeOfPossession where
something is exchanged for something else.")

(=>
   (instance ?TRANS Transaction)
   (exists (?AGENT1 ?AGENT2 ?GIVE1 ?GIVE2 ?OBJ1 ?OBJ2)
      (and
         (instance ?GIVE1 Giving)
         (instance ?GIVE2 Giving)
     (subProcess ?GIVE1 ?TRANS)
        (subProcess ?GIVE2 ?TRANS)
         (agent ?GIVE1 ?AGENT1)
         (agent ?GIVE2 ?AGENT2)
         (patient ?GIVE1 ?OBJ1)
         (patient ?GIVE2 ?OBJ2)
         (destination ?GIVE1 ?AGENT2)
         (destination ?GIVE2 ?AGENT1)
         (not
            (equal ?AGENT1 ?AGENT2))
         (not
            (equal ?OBJ1 ?OBJ2)))))

(subclass FinancialTransaction Transaction)

(documentation FinancialTransaction EnglishLanguage "A &%Transaction where an instance
of &%FinancialInstrument is the subject of the action, and often is exchanged for
something else.")

(=>
   (instance ?TRANS FinancialTransaction)
   (exists (?OBJ)
      (and
         (patient ?TRANS ?OBJ)
         (instance ?OBJ FinancialInstrument))))

(instance transactionAmount BinaryPredicate)
(instance transactionAmount SingleValuedRelation)
(instance transactionAmount TotalValuedRelation)
(domain transactionAmount 1 FinancialTransaction)
(domain transactionAmount 2 CurrencyMeasure)

(documentation transactionAmount EnglishLanguage "(&%transactionAmount ?TRANSACTION
?AMOUNT) means that ?AMOUNT is an instance of &%CurrencyMeasure being
exhanged in the &%FinancialTransaction ?TRANSACTION.")

(=>
   (transactionAmount ?TRANS ?AMOUNT)
   (exists (?OBJ)
      (and
         (patient ?TRANS ?OBJ)
         (monetaryValue ?OBJ ?AMOUNT))))

(subclass ServiceProcess SocialInteraction)

(documentation ServiceProcess EnglishLanguage "&%ServiceProcess denotes the class
of events in which one agent performs a service for another.  The
service need not be commercial, and it need not be the case that
the &%serviceRecipient pays or recompenses the &%serviceProvider
for the service.")

(subclass CommercialService FinancialTransaction)
(documentation CommercialService EnglishLanguage "Any &%FinancialTransaction by a
&%CommercialAgent where the aim is to produce a profit.")
(subclass CommercialService ServiceProcess)

(=>
   (instance ?BUSINESS CommercialService)
   (exists (?AGENT)
      (and
         (instance ?AGENT CommercialAgent)
         (agent ?BUSINESS ?AGENT))))

(subclass Betting FinancialTransaction)
(documentation Betting EnglishLanguage "A &%FinancialTransaction where an instance of
&%CurrencyMeasure is exchanged for the possibility of winning a larger
instance of &%CurrencyMeasure within the context of some sort of
&%Game.")

(subclass Buying FinancialTransaction)
(relatedInternalConcept Buying Selling)
(documentation Buying EnglishLanguage "A &%FinancialTransaction in which an instance of
&%CurrencyMeasure is exchanged for an instance of &%Physical.")

(=>
   (and
      (instance ?BUY Buying)
      (agent ?BUY ?AGENT))
   (destination ?BUY ?AGENT))

(subclass Selling FinancialTransaction)
(documentation Selling EnglishLanguage "A &%FinancialTransaction in which an instance of
&%Physical is exchanged for an instance of &%CurrencyMeasure.")

(=>
  (and
    (instance ?BUY Buying)
    (agent ?BUY ?AGENT1)
    (origin ?BUY ?AGENT2)
    (patient ?BUY ?OBJECT))
  (exists (?SELL)
    (and
      (instance ?SELL Selling)
      (agent ?SELL ?AGENT2)
      (destination ?SELL ?AGENT1)
      (patient ?SELL ?OBJECT))))

(=>
  (and
    (instance ?BUY Buying)
    (agent ?BUY ?AGENT1)
    (origin ?BUY ?AGENT2)
    (patient ?BUY ?OBJECT))
  (exists (?SELL)
    (and
      (instance ?SELL Selling)
      (agent ?SELL ?AGENT2)
      (destination ?SELL ?AGENT1)
      (patient ?SELL ?OBJECT))))

(=>
   (and
      (instance ?SELL Selling)
      (agent ?SELL ?AGENT))
   (origin ?SELL ?AGENT))

(subclass Learning IntentionalPsychologicalProcess)
(documentation Learning EnglishLanguage "The &%Class of &%Processes which relate to the
acquisition of information.")

(=>
   (and
      (instance ?LEARN Learning)
      (agent ?LEARN ?AGENT))
   (instance ?AGENT CognitiveAgent))

(=>
   (and
      (instance ?LEARN Learning)
      (agent ?LEARN ?AGENT)
      (patient ?LEARN ?PROP))
   (and
      (holdsDuring (BeginFn (WhenFn ?LEARN)) (not (knows ?AGENT ?PROP)))
      (holdsDuring (EndFn (WhenFn ?LEARN)) (knows ?AGENT ?PROP))))

(subclass Discovering IntentionalPsychologicalProcess)
(documentation Discovering EnglishLanguage "Finding something that was sought.  Note that
this class is restricted to cases of discovering something &%Physical.
For cases involving the acquisition of knowledge, the class &%Learning
should be used.")

(=>
   (and
      (instance ?DISCOVER Discovering)
      (patient ?DISCOVER ?OBJ))
   (exists (?PURSUE)
      (and
         (instance ?PURSUE Pursuing)
         (meetsTemporally (WhenFn ?PURSUE) (WhenFn ?DISCOVER)))))

(=>
   (and
      (instance ?DISCOVER Discovering)
      (patient ?DISCOVER ?OBJ)
      (holdsDuring (WhenFn ?DISCOVER) (located ?OBJ ?PLACE)))
   (exists (?LEARN)
      (and
         (instance ?LEARN Learning)
         (subProcess ?LEARN ?DISCOVER)
         (patient ?LEARN (located ?OBJ ?PLACE)))))

(subclass Classifying IntentionalPsychologicalProcess)
(documentation Classifying EnglishLanguage "The &%Class of
&%IntentionalPsychologicalProcesses which involve attaching a name or category to a thing
or set of things. Note that &%Classifying is distinguished from &%Learning by the fact
that the latter covers the acquisition by a &%CognitiveAgent of any
&%Proposition, while the former involves the assignment of a label
or category.")

(subclass Reasoning IntentionalPsychologicalProcess)
(documentation Reasoning EnglishLanguage "The &%Class of
&%IntentionalPsychologicalProcesses which involve concluding, on the basis of either
deductive or inductive evidence, that a particular &%Proposition or &%Sentence is true.")

(=>
   (instance ?AGENT CognitiveAgent)
   (capability Reasoning agent ?AGENT))

(subclass Selecting IntentionalPsychologicalProcess)
(documentation Selecting EnglishLanguage "The &%Class of
&%IntentionalPsychologicalProcesses which involve opting for one or more &%Entity out of a
larger set of &%Entities. Note that this covers all cases of judging or evaluating.")

(subclass Deciding Selecting)
(documentation Deciding EnglishLanguage "The subclass of &%Selecting where the &%agent
opts for one course of action out of a set of multiple possibilities
that are open to him/her.")

(=>
   (and
      (instance ?DECIDE Deciding)
      (agent ?DECIDE ?AGENT)
      (patient ?DECIDE ?PROCESS))
   (and
      (instance ?PROCESS IntentionalProcess)
      (agent ?PROCESS ?AGENT)))

(subclass Voting Deciding)
(documentation Voting EnglishLanguage "&%Voting is the activity of voting in an
&%Election.  Voting is typically done by individuals, while &%Elections
are conducted by &%Organizations.  The voting process by an individual
voter is part of an &%Election process.")

(=>
  (instance ?VOTE Voting)
  (exists (?ELECT)
    (and
      (instance ?ELECT Election)
      (subProcess ?VOTE ?ELECT))))

(subclass Judging Selecting)
(documentation Judging EnglishLanguage "The subclass of &%Selecting where the &%agent opts
for one belief out of a set of multiple possibilities that are available to
him/her.")

(=>
   (and
      (instance ?JUDGE Judging)
      (agent ?JUDGE ?AGENT)
      (patient ?JUDGE ?PROPOSITION))
   (and
      (holdsDuring (BeginFn (WhenFn ?JUDGE)) (not (believes ?AGENT ?PROPOSITION)))
      (holdsDuring (EndFn (WhenFn ?JUDGE)) (believes ?AGENT ?PROPOSITION))))

(subclass Comparing IntentionalPsychologicalProcess)
(subclass Comparing DualObjectProcess)
(documentation Comparing EnglishLanguage "The &%Class of
&%IntentionalPsychologicalProcesses which involve comparing, relating, contrasting, etc.
the properties of two or more &%Entities.")

(subclass Calculating IntentionalPsychologicalProcess)
(documentation Calculating EnglishLanguage "&%IntentionalPsychologicalProcesses which
involve the consideration and/or manipulation of instances of &%Quantity.")

(subclass Measuring Calculating)
(documentation Measuring EnglishLanguage "The &%Class of &%Calculating &%Processes where
the aim is to determine the &%PhysicalQuantity of some aspect of the &%patient.")

(=>
   (and
      (instance ?MEAS Measuring)
      (agent ?MEAS ?AGENT)
      (patient ?MEAS ?OBJ))
   (exists (?QUANT ?UNIT)
      (holdsDuring (EndFn (WhenFn ?MEAS))
         (knows ?AGENT (measure ?OBJ (MeasureFn ?QUANT ?UNIT))))))

(subclass Counting Calculating)
(documentation Counting EnglishLanguage "Enumerating something.  The &%Class of
&%Calculating &%Processes where the aim is to determine the &%Number corresponding to the
&%patient.")

(=>
   (and
      (instance ?COUNT Counting)
      (agent ?COUNT ?AGENT)
      (patient ?COUNT ?ENTITY))
   (exists (?NUMBER)
      (knows ?AGENT (equal (CardinalityFn ?ENTITY) ?NUMBER))))

(subclass Predicting IntentionalPsychologicalProcess)
(documentation Predicting EnglishLanguage "The &%Class of
&%IntentionalPsychologicalProcesses which involve the formulation of a &%Proposition about
a state of affairs which might be realized in the future.")

(=>
   (and
      (instance ?PREDICT Predicting)
      (patient ?PREDICT ?FORMULA))
   (exists (?TIME)
      (and
         (holdsDuring ?TIME ?FORMULA)
         (earlier ?TIME (WhenFn ?PREDICT)))))

(subclass Remembering PsychologicalProcess)
(documentation Remembering EnglishLanguage "The &%Class of &%PsychologicalProcesses which
involve the recollection of prior experiences and/or of knowledge
which was previously acquired.")

(=>
   (and
      (instance ?REMEMBER Remembering)
      (patient ?REMEMBER ?FORMULA))
   (exists (?TIME)
      (and
         (holdsDuring ?TIME ?FORMULA)
         (or
            (before ?TIME (WhenFn ?REMEMBER))
            (earlier ?TIME (WhenFn ?REMEMBER))))))

(subclass Keeping IntentionalProcess)
(documentation Keeping EnglishLanguage "The &%Class of &%Processes where the &%agent
keeps something in a particular location for an extended period of time.")

(=>
   (and
      (instance ?KEEP Keeping)
      (agent ?KEEP ?AGENT)
      (patient ?KEEP ?OBJ))
   (exists (?PUT)
      (and
         (instance ?PUT Putting)
         (agent ?PUT ?AGENT)
         (patient ?PUT ?OBJ)
         (earlier (WhenFn ?PUT) (WhenFn ?KEEP)))))

(=>
   (and
      (instance ?KEEP Keeping)
      (patient ?KEEP ?OBJ))
   (exists (?PLACE)
      (forall (?TIME)
         (=>
            (temporalPart ?TIME (WhenFn ?KEEP))
            (holdsDuring ?TIME (located ?OBJ ?PLACE))))))

(subclass Confining Keeping)
(documentation Confining EnglishLanguage "The &%Class of &%Keeping &%Processes where the
&%patient is a &%Human or an &%Animal and is kept involuntarily.  This covers
caging, imprisonment, jailing, etc.")

(=>
   (instance ?CONFINE Confining)
   (exists (?AGENT)
      (and
         (instance ?AGENT Animal)
         (patient ?CONFINE ?AGENT))))

(=>
   (and
      (instance ?CONFINE Confining)
      (patient ?CONFINE ?PERSON)
      (instance ?PERSON Human))
   (not (desires ?PERSON (patient ?CONFINE ?PERSON))))

(subclass Maintaining IntentionalProcess)
(documentation Maintaining EnglishLanguage "The &%Class of &%Processes where the &%agent
cares for or maintains the &%Object.")

(subclass Repairing IntentionalProcess)
(relatedInternalConcept Repairing Maintaining)
(documentation Repairing EnglishLanguage "The &%Class of &%Processes where the &%agent
makes a modification or series of modifications to an &%Object that is not
functioning as intended so that it works properly.")

(=>
   (and
      (instance ?REPAIR Repairing)
      (patient ?REPAIR ?OBJ))
   (exists (?DAMAGE)
      (and
         (instance ?DAMAGE Damaging)
         (patient ?DAMAGE ?OBJ)
         (earlier (WhenFn ?DAMAGE) (WhenFn ?REPAIR)))))

(subclass TherapeuticProcess Repairing)
(documentation TherapeuticProcess EnglishLanguage "A &%Process that is carried out
for the purpose of curing, improving or reducing the pain associated
with a &%DiseaseOrSyndrome.")

(=>
   (and
      (instance ?PROC TherapeuticProcess)
      (patient ?PROC ?BIO))
   (or
      (instance ?BIO Organism)
      (exists (?ORG)
         (and
            (instance ?ORG Organism)
            (part ?BIO ?ORG)))))

(subclass Surgery TherapeuticProcess)
(documentation Surgery EnglishLanguage "Any &%TherapeuticProcess that involves making an
incision in the &%Animal that is the &%patient of the &%TherapeuticProcess.")

(=>
   (and
      (instance ?ACT Surgery)
      (patient ?ACT ?ANIMAL))
   (exists (?SUBACT)
      (and
         (instance ?SUBACT Cutting)
         (instance ?ANIMAL Animal)
         (patient ?SUBACT ?ANIMAL)
         (subProcess ?SUBACT ?ACT))))

(subclass Damaging InternalChange)
(disjoint Damaging Repairing)
(documentation Damaging EnglishLanguage "The &%Class of &%Processes where the &%agent
brings about a situation where the &%patient no longer functions normally
or as intended.")

(subclass Destruction Damaging)
(documentation Destruction EnglishLanguage "The &%subclass of &%Damagings in which
the &%patient (or an essential element of the &%patient) is destroyed.
Note that the difference between this concept and its superclass is solely
one of extent.")

(=>
  (instance ?PROCESS Destruction)
  (exists (?PATIENT)
    (and
      (patient ?PROCESS ?PATIENT)
      (time ?PATIENT (BeginFn (WhenFn ?PROCESS)))
      (not
        (time ?PATIENT (EndFn (WhenFn ?PROCESS)))))))

(subclass Killing Destruction)
(documentation Killing EnglishLanguage "The &%subclass of &%Destruction in which the
death of an &%Organism is caused by an &%Organism.  Note that in cases
of suicide the &%Organism would be the same in both cases.")

(=>
   (and
      (instance ?KILL Killing)
      (agent ?KILL ?AGENT)
      (patient ?KILL ?PATIENT))
   (and
      (instance ?AGENT Organism)
      (instance ?PATIENT Organism)))

(=>
   (and
      (instance ?KILL Killing)
      (patient ?KILL ?PATIENT))
   (and
      (holdsDuring (BeginFn (WhenFn ?KILL)) (attribute ?PATIENT Living))
      (holdsDuring (FutureFn (WhenFn ?KILL)) (attribute ?PATIENT Dead))))

(=>
   (and
      (instance ?KILL Killing)
      (patient ?KILL ?OBJ))
   (exists (?DEATH)
      (and
         (instance ?DEATH Death)
         (experiencer ?DEATH ?OBJ)
         (causes ?KILL ?DEATH))))

(subclass Poking IntentionalProcess)
(documentation Poking EnglishLanguage "The &%Class of &%Processes where the &%agent
pierces the surface of the &%Object with an &%instrument.")

(=>
   (and
      (instance ?POKE Poking)
      (agent ?POKE ?AGENT)
      (patient ?POKE ?OBJ)
      (instrument ?POKE ?INST))
   (holdsDuring (WhenFn ?POKE) (connects ?INST ?AGENT ?OBJ)))

(subclass Cutting Poking)
(documentation Cutting EnglishLanguage "The &%subclass of &%Poking &%Processes which
involve a sharp &%instrument.")

(subclass Attaching DualObjectProcess)
(disjoint Attaching Detaching)
(relatedInternalConcept Attaching Putting)

(documentation Attaching EnglishLanguage "A &%Process where one &%Object becomes attached
to another &%Object.  Note that this differs from &%Putting in that two
things which are attached may already be in the same location.  Note that
&%Combining is different from &%Attaching in that the former applies to
&%Substances, while the latter applies to &%CorpuscularObjects.  Note too
that &%Attaching is different from &%Putting in that one or both of the
two things which are attached may or may not be moved from the location
where they were combined.")

(=>
   (and
      (instance ?ATTACH Attaching)
      (patient ?ATTACH ?OBJ1)
      (patient ?ATTACH ?OBJ2))
   (and
      (holdsDuring (BeginFn (WhenFn ?ATTACH)) (not (connected ?OBJ1 ?OBJ2)))
      (holdsDuring (EndFn (WhenFn ?ATTACH)) (connected ?OBJ1 ?OBJ2))))

(=>
   (instance ?ATTACH Attaching)
   (exists (?OBJ)
      (and
         (instance ?OBJ CorpuscularObject)
         (patient ?ATTACH ?OBJ))))

(instance objectAttached CaseRole)
(subrelation objectAttached patient)
(documentation objectAttached EnglishLanguage "Relates an object that is
attached to the &%Process of &%Attaching.")
(termFormat EnglishLanguage objectAttached "attached")
(format EnglishLanguage objectAttached "%1 &%attaches %2 to another object")

(=>
  (and
    (instance ?A Attaching)
    (patient ?A ?O1)
    (patient ?A ?O2)
    (holdsDuring 
      (BeginFn (WhenFn ?A)) 
      (not
        (connected ?O1 ?O2)))
    (holdsDuring 
      (EndFn (WhenFn ?A)) 
      (connected ?O1 ?O2)))
  (and
    (objectAttached ?A ?O1)
    (objectAttached ?A ?O2)))
    
(subclass Detaching DualObjectProcess)

(documentation Detaching EnglishLanguage "A &%Process where the &%agent detaches one thing
from something else.  Note that &%Detaching is different from &%Separating
in that the latter applies to &%Substances, while the former applies to
&%CorpuscularObjects.  Note too that &%Detaching is different from
&%Removing in that one or both of the two things which are detached may or
may not be moved from the location where they were attached.")

 (=>
   (and
      (instance ?DETACH Detaching)
      (patient ?DETACH ?OBJ1)
      (patient ?DETACH ?OBJ2))
   (and
      (holdsDuring (BeginFn (WhenFn ?DETACH)) (connected ?OBJ1 ?OBJ2))
      (holdsDuring (EndFn (WhenFn ?DETACH)) (not (connected ?OBJ1 ?OBJ2)))))

(=>
   (instance ?DETACH Detaching)
   (exists (?OBJ)
      (and
         (instance ?OBJ CorpuscularObject)
         (patient ?DETACH ?OBJ))))

(instance objectDetached CaseRole)         
(subrelation objectDetached patient)
(documentation objectDetached EnglishLanguage "Relates an object that is
dettached to the &%Process of &%Detaching.")
(termFormat EnglishLanguage objectDetached "detached")
(format EnglishLanguage objectDetached "%1 &%detaches %2 from another object")

(=>
  (and
    (instance ?D Detaching)
    (patient ?D ?O1)
    (patient ?D ?O2)
    (holdsDuring (BeginFn (WhenFn ?D)) (connected ?O1 ?O2))
    (holdsDuring (EndFn (WhenFn ?A)) (not (connected ?O1 ?O2))))
  (and
    (objectDetached ?A ?O1)
    (objectDetached ?A ?O2)))
    
(subclass Ungrasping Detaching)
(documentation Ungrasping EnglishLanguage "Any instance of &%Detaching which results in
a situation where it is not the case that the &%agent &%grasps something
which he/she &%grasps previously.")

(=>
   (and
      (instance ?RELEASE Ungrasping)
      (agent ?GRAB ?AGENT)
      (patient ?GRAB ?THING))
   (and
      (holdsDuring (BeginFn (WhenFn ?RELEASE)) (grasps ?AGENT ?THING))
      (holdsDuring (EndFn (WhenFn ?RELEASE)) (not (grasps ?AGENT ?THING)))))

(subclass Combining DualObjectProcess)
(documentation Combining EnglishLanguage "A &%Process where two or more
&%SelfConnectedObjects
are incorporated into a single &%SelfConnectedObject.  Note that &%Combining
is different from &%Attaching in that the former results in one of the objects
being &%part of the other, while &%Attaching only results in the two objects
being &%connected with one another.  Note too that &%Combining is different
from &%Putting in that one or both of the two things which are combined may or
may not be moved from the location where they were combined.")

(<=>
   (and
      (instance ?COMBINE Combining)
      (resource ?COMBINE ?OBJ1)
      (result ?COMBINE ?OBJ2))
   (and
      (holdsDuring (BeginFn (WhenFn ?COMBINE)) (not (part ?OBJ1 ?OBJ2)))
      (holdsDuring (EndFn (WhenFn ?COMBINE)) (part ?OBJ1 ?OBJ2))))

(=>
   (instance ?COMBINE Combining)
   (exists (?OBJ)
      (and
         (instance ?OBJ SelfConnectedObject)
         (patient ?COMBINE ?OBJ))))

(subclass Separating DualObjectProcess)
(disjoint Separating Combining)
(documentation Separating EnglishLanguage "A &%Process where a &%SelfConnectedObject is
separated into (some of) its &%parts.  Note that &%Separating is different
from &%Detaching in that the latter only results in the two objects not
being &%connected.  Note too that &%Separating is different from
&%Removing in that one or both of the two things which are separated
may or may not be moved from the location where they were separated.")

(=>
   (instance ?SEPARATE Separating)
   (exists (?OBJ)
      (and
         (instance ?OBJ SelfConnectedObject)
         (patient ?SEPARATE ?OBJ))))

(subclass Breaking Damaging)
(subclass Breaking Separating)
(documentation Breaking EnglishLanguage "A &%Damaging that involves &%Separating the parts
of a &%CorpuscularObject.")

(subclass ChemicalProcess InternalChange)
(partition ChemicalProcess ChemicalSynthesis ChemicalDecomposition)
(documentation ChemicalProcess EnglishLanguage "A &%ChemicalProcess occurs whenever
chemical compounds (&%CompoundSubstances) are formed or decomposed.
For example, reactants disappear as chemical change occurs, and products
appear as chemical change occurs.  In a chemical change a chemical
reaction takes place.  Catalysts in a &%ChemicalProcess may speed up the
reaction, but aren't themselves produced or consumed.  Examples: rusting of
iron and the decomposition of water, induced by an electric current, to
gaseous hydrogen and gaseous oxygen.")

(=>
   (and
      (instance ?PROC ChemicalProcess)
      (or
         (resource ?PROC ?STUFF)
         (result ?PROC ?STUFF)))
   (instance ?STUFF PureSubstance))

(subclass ChemicalSynthesis ChemicalProcess)
(subclass ChemicalSynthesis Combining)
(documentation ChemicalSynthesis EnglishLanguage "The &%Class of &%ChemicalProcesses in
which a &%CompoundSubstance is formed from simpler reactants.")

(=>
   (and
      (resource ?PROC ?SUBSTANCE1)
      (result ?PROC ?SUBSTANCE2)
      (instance ?SUBSTANCE1 ElementalSubstance)
      (instance ?SUBSTANCE2 CompoundSubstance))
   (instance ?PROC ChemicalSynthesis))

(=>
  (instance ?COMPOUND CompoundSubstance)
  (exists (?ELEMENT1 ?ELEMENT2 ?PROCESS)
    (and
      (instance ?ELEMENT1 ElementalSubstance)
      (instance ?ELEMENT2 ElementalSubstance)
      (not (equal ?ELEMENT1 ?ELEMENT2))
      (instance ?PROCESS ChemicalSynthesis)
      (resource ?PROCESS ?ELEMENT1)
      (resource ?PROCESS ?ELEMENT2)
      (result ?PROCESS ?COMPOUND))))

(=>
  (and
    (instance ?ELEMENT1 ElementalSubstance)
    (instance ?ELEMENT2 ElementalSubstance)
    (not (equal ?ELEMENT1 ?ELEMENT2))
    (instance ?PROCESS ChemicalSynthesis)
    (resource ?PROCESS ?ELEMENT1)
    (resource ?PROCESS ?ELEMENT2)
    (result ?PROCESS ?COMPOUND))
  (instance ?COMPOUND CompoundSubstance))

(subclass ChemicalDecomposition ChemicalProcess)
(subclass ChemicalDecomposition Separating)
(documentation ChemicalDecomposition EnglishLanguage "The &%Class of &%ChemicalProcesses
in which a &%CompoundSubstance breaks down into simpler products.")

(=>
   (and
      (resource ?PROC ?SUBSTANCE1)
      (result ?PROC ?SUBSTANCE2)
      (instance ?SUBSTANCE1 CompoundSubstance)
      (instance ?SUBSTANCE2 ElementalSubstance))
   (instance ?PROC ChemicalDecomposition))

(subclass Combustion ChemicalDecomposition)
(documentation Combustion EnglishLanguage "The &%Class of &%ChemicalProcesses in which an
&%Object reacts with oxygen and gives off heat.  This includes all &%Processes in which
something is burning.")

(=>
   (instance ?COMBUSTION Combustion)
   (exists (?HEAT ?LIGHT)
      (and
         (instance ?HEAT Heating)
         (instance ?LIGHT RadiatingLight)
         (subProcess ?HEAT ?COMBUSTION)
         (subProcess ?LIGHT ?COMBUSTION))))

(instance Flammable PhysicalAttribute)
(documentation Flammable EnglishLanguage "The &%Attribute of being flammable at normal
temperatures (i.e. not while a &%Plasma).")
(=>
  (attribute ?X Flammable)
  (capability Combustion patient ?X))

(subclass InternalChange Process)
(documentation InternalChange EnglishLanguage "&%Processes which involve altering an
internal property of an &%Object, e.g. the shape of the &%Object, its coloring, its
structure, etc.  &%Processes that are not instances of this class include
changes that only affect the relationship to other objects, e.g. changes in
spatial or temporal location.")

(=>
   (and
      (instance ?CHANGE InternalChange)
      (patient ?CHANGE ?OBJ))
   (exists (?PROPERTY)
      (or
         (and
            (holdsDuring (BeginFn (WhenFn ?CHANGE)) (attribute ?OBJ ?PROPERTY))
            (holdsDuring (EndFn (WhenFn ?CHANGE)) (not (attribute ?OBJ ?PROPERTY))))
         (and
            (holdsDuring (BeginFn (WhenFn ?CHANGE)) (not (attribute ?OBJ ?PROPERTY)))
            (holdsDuring (EndFn (WhenFn ?CHANGE)) (attribute ?OBJ ?PROPERTY))))))

(subclass SurfaceChange InternalChange)
(documentation SurfaceChange EnglishLanguage "&%Processes which involve altering
the properties that apply to the surface of an &%Object.")

(=>
   (and
      (instance ?ALT SurfaceChange)
      (patient ?ALT ?OBJ))
   (exists (?PART ?PROPERTY)
      (and
         (superficialPart ?PART ?OBJ)
         (or
            (and
               (holdsDuring (BeginFn (WhenFn ?ALT)) (attribute ?PART ?PROPERTY))
               (holdsDuring (EndFn (WhenFn ?ALT)) (not (attribute ?PART ?PROPERTY))))
            (and
               (holdsDuring (BeginFn (WhenFn ?ALT)) (not (attribute ?PART ?PROPERTY)))
               (holdsDuring (EndFn (WhenFn ?ALT)) (attribute ?PART ?PROPERTY)))))))

(subclass Coloring SurfaceChange)
(documentation Coloring EnglishLanguage "The &%subclass of &%SurfaceChange where a
&%ColorAttribute of the &%patient is altered.  Note that the change in
color may apply to just part of the object.")

(=>
   (and
      (instance ?COLORING Coloring)
      (patient ?COLORING ?OBJ))
   (exists (?PROPERTY ?PART)
      (and
         (part ?PART ?OBJ)
         (instance ?PROPERTY ColorAttribute)
         (or
            (and
               (holdsDuring (BeginFn (WhenFn ?COLORING)) (attribute ?PART ?PROPERTY))
               (holdsDuring (EndFn (WhenFn ?COLORING)) (not (attribute ?PART ?PROPERTY))))
            (and
               (holdsDuring (BeginFn (WhenFn ?COLORING)) (not (attribute ?PART ?PROPERTY)))
               (holdsDuring (EndFn (WhenFn ?COLORING)) (attribute ?PART ?PROPERTY)))))))

(subclass ShapeChange InternalChange)
(documentation ShapeChange EnglishLanguage "The &%Process of changing the shape of an
&%Object.")

(=>
   (and
      (instance ?ALT ShapeChange)
      (patient ?ALT ?OBJ))
   (exists (?PROPERTY)
      (and
         (instance ?PROPERTY ShapeAttribute)
         (or
            (and
               (holdsDuring (BeginFn (WhenFn ?ALT)) (attribute ?OBJ ?PROPERTY))
               (holdsDuring (EndFn (WhenFn ?ALT)) (not (attribute ?OBJ ?PROPERTY))))
            (and
               (holdsDuring (BeginFn (WhenFn ?ALT)) (not (attribute ?OBJ ?PROPERTY)))
               (holdsDuring (EndFn (WhenFn ?ALT)) (attribute ?OBJ ?PROPERTY)))))))

(subclass ContentDevelopment IntentionalProcess)
(documentation ContentDevelopment EnglishLanguage "A &%subclass of &%IntentionalProcess in
which content is modified, its form is altered or it is created anew.")

(=>
   (instance ?DEVELOP ContentDevelopment)
   (exists (?OBJ)
      (and
         (instance ?OBJ ContentBearingObject)
         (result ?DEVELOP ?OBJ))))

(subclass Reading ContentDevelopment)
(relatedInternalConcept Reading Interpreting)
(documentation Reading EnglishLanguage "A &%subclass of &%ContentDevelopment in which
content is converted from a written form into a spoken representation.
Note that the class &%Interpreting should be used in cases where a
&%Text is read silently.")

(=>
   (instance ?READ Reading)
   (exists (?TEXT ?PROP)
      (and
         (instance ?TEXT Text)
         (containsInformation ?TEXT ?PROP)
         (realization ?READ ?PROP))))

(subclass Writing ContentDevelopment)
(documentation Writing EnglishLanguage "A &%subclass of &%ContentDevelopment in which
content is converted from one form (e.g. uttered, written or represented
mentally) into a written form.  Note that this class covers both
transcription and original creation of written &%Texts.")

(subclass Encoding Writing)
(documentation Encoding EnglishLanguage "Converting a document or message into a formal
language or into a code that can be understood only by a relatively small
body of &%Agents.  Generally speaking, this hinders wide dissemination of
the content in the original document or message.")

(subclass Decoding Writing)
(disjoint Decoding Encoding)
(documentation Decoding EnglishLanguage "Converting a document or message that has
previously been encoded (see &%Encoding) into a &%Language that can be understood by a
relatively large number of speakers.")

(=>
  (and
    (instance ?DECODE Decoding)
    (patient ?DECODE ?DOC1))
  (exists (?ENCODE ?DOC2 ?TIME ?PROP)
    (and
      (containsInformation ?DOC2 ?PROP)
      (containsInformation ?DOC1 ?PROP)
      (temporalPart ?TIME
        (PastFn (WhenFn ?DECODE)))
      (holdsDuring ?TIME
        (and
          (instance ?ENCODE Encoding)
          (patient ?ENCODE ?DOC2))))))

(subclass Translating ContentDevelopment)
(subclass Translating DualObjectProcess)
(documentation Translating EnglishLanguage "Converting content from one &%Language into
another. This covers oral translation (i.e. interpreting) as well as written
translation.")

(=>
   (and
      (instance ?TRANSLATE Translating)
      (patient ?TRANSLATE ?EXPRESSION1)
      (result ?TRANSLATE ?EXPRESSION2))
   (exists (?LANGUAGE1 ?LANGUAGE2 ?ENTITY)
      (and
         (representsInLanguage ?EXPRESSION1 ?ENTITY ?LANGUAGE1)
         (representsInLanguage ?EXPRESSION2 ?ENTITY ?LANGUAGE2)
         (not (equal ?LANGUAGE1 ?LANGUAGE2)))))

(subclass Wetting Putting)
(documentation Wetting EnglishLanguage "The &%Class of &%Processes where a &%Liquid is
added to an &%Object.")

(=>
  (instance ?WET Wetting)
  (exists (?OBJ)
    (and
      (patient ?WET ?OBJ)
      (holdsDuring
        (BeginFn
          (WhenFn ?WET))
        (not
          (attribute ?OBJ Damp)))
      (holdsDuring
        (EndFn
          (WhenFn ?WET))
        (attribute ?OBJ Damp)))))

(=>
   (instance ?WET Wetting)
   (exists (?OBJ)
      (and
         (attribute ?OBJ Liquid)
         (patient ?WET ?OBJ))))

(subclass Drying Removing)
(documentation Drying EnglishLanguage "The &%Class of &%Processes where a &%Liquid is
removed from an &%Object.")

(=>
   (and
      (instance ?DRY Drying)
      (patient ?DRY ?OBJ))
   (holdsDuring (EndFn (WhenFn ?DRY))
      (attribute ?OBJ Dry)))

(subclass Creation InternalChange)
(relatedInternalConcept Creation Destruction)
(documentation Creation EnglishLanguage "The &%subclass of &%Process in which
something is created.  Note that the thing created is specified
with the &%result &%CaseRole.")

(=>
   (instance ?ACTION Creation)
   (exists (?RESULT)
      (result ?ACTION ?RESULT)))

(=>
  (instance ?PROCESS Creation)
  (exists (?PATIENT)
    (and
      (patient ?PROCESS ?PATIENT)
      (time ?PATIENT (EndFn (WhenFn ?PROCESS)))
      (not
        (time ?PATIENT (BeginFn (WhenFn ?PROCESS)))))))

(=>
  (and
    (patient ?PROCESS ?PATIENT)
    (time ?PATIENT (EndFn (WhenFn ?PROCESS)))
    (not
      (time ?PATIENT (BeginFn (WhenFn ?PROCESS)))))
  (instance ?PROCESS Creation))

(subclass Making Creation)
(subclass Making IntentionalProcess)
(documentation Making EnglishLanguage "The &%subclass of &%Creation in which an individual
&%Artifact or a type of &%Artifact is made.")

(=>
  (instance ?MAKING Making)
  (exists (?ARTIFACT)
    (and
      (instance ?ARTIFACT Artifact)
      (result ?MAKING ?ARTIFACT))))

(subclass Constructing Making)
(documentation Constructing EnglishLanguage "The &%subclass of &%Making in which a
&%StationaryArtifact is built.")

(=>
  (and
    (instance ?BUILD Constructing)
    (result ?BUILD ?ARTIFACT))
  (instance ?ARTIFACT StationaryArtifact))

(=>
  (instance ?ARTIFACT StationaryArtifact)
  (exists (?BUILD)
    (and
      (instance ?BUILD Constructing)
      (result ?BUILD ?ARTIFACT))))

(subclass Manufacture Making)
(documentation Manufacture EnglishLanguage "The &%Making of &%Artifacts on a mass
scale.")

(subclass Publication Manufacture)
(subclass Publication ContentDevelopment)
(documentation Publication EnglishLanguage "The &%Manufacture of &%Texts.  Note that
there is no implication that the &%Texts are distributed.  Such
distribution, when it occurs, is an instance of &%Dissemination.")

(=>
   (and
      (instance ?PUB Publication)
      (patient ?PUB ?TEXT))
   (subclass ?TEXT Text))

(subclass Cooking Making)
(documentation Cooking EnglishLanguage "The &%Making of an &%instance of &%Food.  Note
that this can cover any preparation of &%Food, e.g. making a salad,
cutting up fruit, etc.  It does not necessarily involve the application
of heat.")

(=>
   (instance ?COOK Cooking)
   (exists (?FOOD)
      (and
         (instance ?FOOD (FoodForFn Organism))
         (result ?COOK ?FOOD))))

(subclass Pursuing IntentionalProcess)
(documentation Pursuing EnglishLanguage "The class of &%IntentionalProcesses where
something is sought.  Some examples would be hunting, shopping, trawling, and stalking.")

(=>
   (instance ?PURSUE Pursuing)
   (exists (?OBJ)
      (and
         (instance ?OBJ Object)
         (patient ?PURSUE ?OBJ))))

(=>
   (and
      (instance ?PURSUE Pursuing)
      (agent ?PURSUE ?AGENT)
      (patient ?PURSUE ?OBJ))
   (holdsDuring ?PURSUE (wants ?AGENT ?OBJ)))

(=>
   (and
      (instance ?PURSUE Pursuing)
      (agent ?PURSUE ?AGENT)
      (patient ?PURSUE ?OBJ))
   (holdsDuring ?PURSUE (not (possesses ?AGENT ?OBJ))))

(subclass Hunting Pursuing)
(documentation Hunting EnglishLanguage "Hunting is the class of &%Processes in which
an animal or animals are pursued and sometimes captured and/or killed.")

(=>
  (instance ?H Hunting)
  (exists (?T)
    (and
      (instance ?T Animal)
      (patient ?H ?T))))

(=>
  (and
    (instance ?H Hunting)
    (patient ?H ?P))
  (hasPurpose ?H
    (exists (?PROC)
      (and
        (patient ?PROC ?P)
        (or
          (instance ?PROC Confining)
          (instance ?PROC Killing))))))

;(subclass Investigating IntentionalPsychologicalProcess)
(subclass Investigating IntentionalProcess)
(documentation Investigating EnglishLanguage "The class of
&%IntentionalPsychologicalProcesses where the &%agent attempts to obtain information
(i.e. a &%Proposition denoted by a &%Formula).")

(=>
   (and
      (instance ?INVESTIGATE Investigating)
      (patient ?INVESTIGATE ?PROP))
   (instance ?PROP Formula))

(=>
   (and
      (instance ?INVESTIGATE Investigating)
      (agent ?INVESTIGATE ?AGENT)
      (patient ?INVESTIGATE ?PROP))
   (holdsDuring (WhenFn ?INVESTIGATE) (not (knows ?AGENT ?PROP))))

(=>
    (and
        (instance ?INVESTIGATE Investigating)
        (agent ?INVESTIGATE ?AGENT)
        (patient ?INVESTIGATE ?PROP))
    (hasPurposeForAgent ?INVESTIGATE
        (knows ?AGENT ?PROP) ?AGENT))

(subclass Experimenting Investigating)
(documentation Experimenting EnglishLanguage "&%Investigating the truth of a &%Proposition
by constructing and observing a trial.  Note that the trial may be either
controlled or uncontrolled, blind or not blind.")

(subclass DiagnosticProcess Investigating)
(documentation DiagnosticProcess EnglishLanguage "A &%Process that is carried out for
the purpose of determining the nature of a &%DiseaseOrSyndrome.")

(=>
   (and
      (instance ?PROC DiagnosticProcess)
      (agent ?PROC ?AGENT))
   (exists (?CAUSE)
      (hasPurposeForAgent ?PROC (knows ?AGENT (causes ?CAUSE ?PROC)) ?AGENT)))

(subclass Searching Investigating)
(documentation Searching EnglishLanguage "An &%IntentionalProcess which has the purpose
for a &%CognitiveAgent to learn the location of a &%Physical.")


(=>
  (instance ?S Searching)
  (exists (?AGENT ?OBJ ?LOC)
    (and
      (instance ?AGENT CognitiveAgent)
      (agent ?S ?AGENT)
      (instance ?OBJ Physical)
      (patient ?S ?OBJ)
      (instance ?LOC Object)
      (located ?OBJ ?LOC)
      (hasPurposeForAgent ?S
        (knows ?AGENT
          (located ?OBJ ?LOC)) ?AGENT))))

(=>
  (and
    (instance ?S Searching)
    (patient ?S ?OBJ)
    (instance ?OBJ Physical))
  (exists (?LOC ?AGENT)
    (and
      (instance ?AGENT CognitiveAgent)
      (agent ?S ?AGENT)
      (instance ?LOC Object)
      (located ?OBJ ?LOC)
      (hasPurposeForAgent ?S
        (knows ?AGENT
          (located ?OBJ ?LOC)) ?AGENT))))

(subclass SocialInteraction IntentionalProcess)
(documentation SocialInteraction EnglishLanguage "The &%subclass of
&%IntentionalProcess that involves interactions between
&%CognitiveAgents.")

(=>
   (instance ?INTERACTION SocialInteraction)
   (exists (?AGENT1 ?AGENT2)
      (and
         (involvedInEvent ?INTERACTION ?AGENT1)
         (involvedInEvent ?INTERACTION ?AGENT2)
         (instance ?AGENT1 Agent)
         (instance ?AGENT2 Agent)
         (not
            (equal ?AGENT1 ?AGENT2)))))

(subclass Pretending SocialInteraction)
(documentation Pretending EnglishLanguage "Any &%SocialInteraction where a
&%CognitiveAgent or &%Group of &%CognitiveAgents attempts to make
another &%CognitiveAgent or &%Group of &%CognitiveAgents believe
something that is false.  This covers deceit, affectation,
impersonation, and entertainment productions, to give just a few
examples.")

(=>
   (instance ?PRETEND Pretending)
   (exists (?PERSON ?PROP)
      (and
         (hasPurpose ?PRETEND (believes ?PERSON ?PROP))
         (truth ?PROP False))))

(subclass Communication SocialInteraction)
(subclass Communication ContentBearingProcess)
(partition Communication Stating Supposing Directing Committing Expressing Declaring)
(relatedInternalConcept Communication ContentDevelopment)
(documentation Communication EnglishLanguage "A &%SocialInteraction that involves
the transfer of information between two or more &%CognitiveAgents.
Note that &%Communication is closely related to, but essentially
different from, &%ContentDevelopment.  The latter involves the creation
or modification of a &%ContentBearingObject, while &%Communication is
the transfer of information for the purpose of conveying a message.")

(=>
   (instance ?COMMUNICATE Communication)
   (exists (?PHYS ?ENTITY ?AGENT1 ?AGENT2)
      (and
         (refers ?PHYS ?ENTITY)
         (patient ?COMMUNICATE ?PHYS)
         (instance ?AGENT1 CognitiveAgent)
         (agent ?COMMUNICATE ?AGENT1)
         (instance ?AGENT2 CognitiveAgent)
         (destination ?COMMUNICATE ?AGENT2))))

(subclass Disseminating Communication)
(documentation Disseminating EnglishLanguage "Any &%Communication that involves a
single &%agent and many &%destinations.  This covers the release
of a published book, broadcasting, a theatrical performance, giving
orders to assembled troops, delivering a public lecture, etc.")

(=>
   (instance ?DISSEMINATE Disseminating)
   (exists (?AGENT1 ?AGENT2)
      (and
         (destination ?DISSEMINATE ?AGENT1)
         (instance ?AGENT1 CognitiveAgent)
         (destination ?DISSEMINATE ?AGENT2)
         (instance ?AGENT2 CognitiveAgent)
         (not (equal ?AGENT1 ?AGENT2)))))

(subclass Demonstrating Disseminating)
(documentation Demonstrating EnglishLanguage "Exhibiting something or a range of things
before the public in a particular location.  This would cover software
demos, theatrical plays, lectures, dance and music recitals, museum
exhibitions, etc.")

(=>
   (instance ?DEMO Demonstrating)
   (exists (?PERSON)
      (attends ?DEMO ?PERSON)))

(subrelation attends experiencer)
(instance attends CaseRole)
(instance attends PartialValuedRelation)
(domain attends 1 Demonstrating)
(domain attends 2 Human)
(documentation attends EnglishLanguage "(&%attends ?DEMO ?PERSON) means that ?PERSON
attends, i.e. is a member of the audience, of the performance event ?DEMO.")

(subclass Gesture Communication)
(subclass Gesture BodyMotion)
(documentation Gesture EnglishLanguage "Any &%BodyMotion, e.g. a hand wave, a nod of the
head, a smile, which is also an instance of &%Communication.")

(subclass Advertising Disseminating)
(documentation Advertising EnglishLanguage "A &%Disseminating whose purpose is to
promote the sale of an &%Object represented in a &%Text or &%Icon
(the advertisement).")

(=>
   (instance ?ADVERT Advertising)
   (exists (?OBJ)
      (and
         (refers ?ADVERT ?OBJ)
         (hasPurpose ?ADVERT (exists (?SALE) (and (instance ?SALE Selling) (patient ?SALE ?OBJ)))))))

(subclass Expressing Communication)
(documentation Expressing EnglishLanguage "Instances of this &%Class express a state of
the &%agent.For example, Jane thanked Barbara for the present she had given her.  The
thanking in this case expresses the gratitude of Jane towards Barbara.  Note that
&%Expressing, unlike the other speech act types, is not a subclass of
&%LinguisticCommunication.This is because emotions, for example, can be expressed without
language, e.g. by smiling.")

(=>
   (and
      (instance ?EXPRESS Expressing)
      (agent ?EXPRESS ?AGENT))
   (exists (?STATE)
      (and
         (instance ?STATE StateOfMind)
         (attribute ?AGENT ?STATE)
         (represents ?EXPRESS ?STATE))))

(subclass LinguisticCommunication Communication)
(documentation LinguisticCommunication EnglishLanguage "A &%Communication that involves
the transfer of information via a &%LinguisticExpression.")

(=>
   (instance ?COMMUNICATE LinguisticCommunication)
   (exists (?OBJ)
      (and
         (represents ?COMMUNICATE ?OBJ)
         (instance ?OBJ LinguisticExpression)
         (patient ?COMMUNICATE ?OBJ))))

(subclass Stating LinguisticCommunication)
(documentation Stating EnglishLanguage "Instances of this &%Class commit the &%agent to
some truth.For example, John claimed that the moon is made of green cheese.")

(=>
   (and
      (instance ?STATE Stating)
      (agent ?STATE ?AGENT)
      (patient ?STATE ?FORMULA)
      (instance ?FORMULA Formula))
   (holdsDuring (WhenFn ?STATE) (believes ?AGENT ?FORMULA)))

(subclass Disagreeing Stating)
(documentation Disagreeing EnglishLanguage "A &%Stating in which two &%Agents have
contradictory statements.  This is distinguished from &%Arguing in
that the statement in dispute may be a simple assertion, rather than
a chain of deduction, and that two entities must be disagreeing with
each other, whereas a single entity may craft an argument for a given
point of view, without the need for another agent to disagree with.")
(=>
  (instance ?DIS Disagreeing)
  (exists (?A1 ?A2 ?STATE1 ?STATE2 ?STMT1 ?STMT2)
    (and
      (subProcess ?STATE1 ?DIS)
      (subProcess ?STATE2 ?DIS)
      (agent ?STATE1 ?A1)
      (agent ?STATE2 ?A2)
      (not
        (equal ?A1 ?A2))
      (containsInformation ?STATE1 ?STMT1)
      (containsInformation ?STATE2 ?STMT2)
      (not
        (consistent ?STMT1 ?STMT2)))))

(subclass Supposing LinguisticCommunication)
(documentation Supposing EnglishLanguage "Instances of this &%Class suppose, for the sake
of argument, that a proposition is true.  For example, John considered what he
would do if he won the lottery.")

(subclass Directing LinguisticCommunication)
(documentation Directing EnglishLanguage "Instances of this &%Class urge some further
action among the receivers.  A &%Directing can be an &%Ordering, a &%Requesting or
a &%Questioning.")

(subclass Ordering Directing)
(documentation Ordering EnglishLanguage "A &%Directing in which the receiver is
commanded to realize the content of a &%ContentBearingObject.  Orders
are injunctions, the disobedience of which involves sanctions, or
which express an obligation upon the part of the orderee.")

(=>
   (and
      (instance ?ORDER Ordering)
      (patient ?ORDER ?FORMULA))
   (modalAttribute ?FORMULA Obligation))

(subclass Requesting Directing)
(documentation Requesting EnglishLanguage "A request expresses a desire that some future
action be performed.  For example, the 5th Battalion requested air support
from the 3rd Bomber Group.  Note that this class covers proposals,
recommendations, suggestions, etc.")

(=>
   (and
      (instance ?REQUEST Requesting)
      (agent ?REQUEST ?AGENT)
      (patient ?REQUEST ?FORMULA)
      (instance ?FORMULA Formula))
   (desires ?AGENT ?FORMULA))

(subclass Questioning Directing)
(documentation Questioning EnglishLanguage "A request for information.  For example, John
asked Bill if the President had said anything about taxes in his State of the Union
address.")

(=>
   (and
      (instance ?QUESTION Questioning)
      (agent ?QUESTION ?AGENT)
      (patient ?QUESTION ?FORMULA)
      (instance ?FORMULA Formula))
   (holdsDuring (WhenFn ?QUESTION) (not (knows ?AGENT ?FORMULA))))

(subclass Committing LinguisticCommunication)
(documentation Committing EnglishLanguage "Instances of this &%Class commit the &%agent to
some future course of action.  For example, Bob promised Susan that he would be home by
11pm.")

(=>
   (and
      (instance ?COMMIT Committing)
      (patient ?COMMIT ?FORMULA)
      (instance ?FORMULA Formula))
   (modalAttribute ?FORMULA Promise))

(subclass Offering Committing)

(documentation Offering EnglishLanguage "The subclass of &%Committing in which a
&%CognitiveAgent offers something &%Physical to another agent.  Offerings
may be unconditional (in which case they are a promise to effect a
&%UnilateralGiving) or conditional (in which case they are a promise to
effect a &%Transaction of some sort).")

(subclass Declaring LinguisticCommunication)
(documentation Declaring EnglishLanguage "The &%Class of &%LinguisticCommunications that
effect an institutional alteration when performed by competent authority.
Some examples are nominating, marrying, and excommunicating.")

(=>
   (instance ?DECLARE Declaring)
   (exists (?PROP ?NORM)
      (or
         (confersNorm ?DECLARE ?PROP ?NORM)
         (deprivesNorm ?DECLARE ?PROP ?NORM))))

(subclass Naming Declaring)
(documentation Naming EnglishLanguage "The &%Process of assigning a name to someone or
something.")

(=>
   (and
      (instance ?PROCESS Naming)
      (patient ?PROCESS ?THING)
      (destination ?PROCESS ?NAME))
   (holdsDuring (FutureFn (WhenFn ?PROCESS)) (names ?NAME ?THING)))

(subclass Cooperation SocialInteraction)
(documentation Cooperation EnglishLanguage "The &%subclass of &%SocialInteraction where
the participants involved work together for the achievement of a common goal.")

(=>
   (instance ?COOPERATE Cooperation)
   (exists (?PURP)
      (forall (?AGENT)
         (=>
            (agent ?COOPERATE ?AGENT)
            (hasPurposeForAgent ?COOPERATE ?PURP ?AGENT)))))

(subclass Meeting SocialInteraction)
(documentation Meeting EnglishLanguage "The coming together of two or more
&%CognitiveAgents for the purpose of &%Communication.  This covers informal
meetings, e.g. visits with family members, and formal meetings, e.g. a board
of directors meeting.")

(=>
   (and
      (instance ?MEET Meeting)
      (agent ?MEET ?AGENT1)
      (agent ?MEET ?AGENT2))
   (holdsDuring (WhenFn ?MEET) (orientation ?AGENT1 ?AGENT2 Near)))

(=>
   (instance ?MEET Meeting)
   (exists (?AGENT1 ?AGENT2)
      (and
         (agent ?MEET ?AGENT1)
         (agent ?MEET ?AGENT2)
         (hasPurpose ?MEET
           (exists (?COMM)
             (and
               (instance ?COMM Communication)
               (agent ?COMM ?AGENT1)
               (agent ?COMM ?AGENT2)))))))

(subclass Contest SocialInteraction)
(documentation Contest EnglishLanguage "A &%SocialInteraction where the &%agent and
&%patient are &%CognitiveAgents who are trying to defeat one another.
Note that this concept is often applied in a metaphorical sense in natural
language, when we speak, e.g., of the struggle of plants for space or
sunlight, or of bacteria for food resources in some environment.")

(=>
   (instance ?CONTEST Contest)
   (exists (?AGENT1 ?AGENT2 ?PURP1 ?PURP2)
      (and
         (agent ?CONTEST ?AGENT1)
         (agent ?CONTEST ?AGENT2)
         (hasPurposeForAgent ?CONTEST ?PURP1 ?AGENT1)
         (hasPurposeForAgent ?CONTEST ?PURP2 ?AGENT2)
         (not
            (equal ?AGENT1 ?AGENT2))
         (not
            (equal ?PURP1 ?PURP2)))))

(subclass ViolentContest Contest)
(documentation ViolentContest EnglishLanguage "A &%Contest where one participant attempts
to physically injure another participant.")

(subclass War ViolentContest)
(documentation War EnglishLanguage "A military confrontation between two or more
&%GeopoliticalAreas or &%Organizations whose members are &%GeopoliticalAreas.
As the corresponding axiom specifies, a &%War is made up of &%Battles.")

(=>
   (instance ?WAR War)
   (exists (?BATTLE)
      (and
         (instance ?BATTLE Battle)
         (subProcess ?BATTLE ?WAR))))

(=>
   (and
      (instance ?WAR War)
      (agent ?WAR ?AGENT))
   (or
      (instance ?AGENT GeopoliticalArea)
      (and
         (instance ?AGENT Organization)
         (forall (?MEMBER)
            (=>
               (member ?MEMBER ?AGENT)
               (instance ?MEMBER GeopoliticalArea))))))

(subclass Battle ViolentContest)
(documentation Battle EnglishLanguage "A &%ViolentContest between two or more military
units within the context of a war.  Note that this does not cover the
metaphorical sense of 'battle', which simply means a struggle of some
sort.  This sense should be represented with the more general concept of
&%Contest.")

(=>
   (instance ?BATTLE Battle)
   (exists (?WAR)
      (and
         (instance ?WAR War)
         (subProcess ?BATTLE ?WAR))))

(=>
   (instance ?BATTLE Battle)
   (exists (?ATTACK)
      (and
         (instance ?ATTACK ViolentContest)
         (subProcess ?ATTACK ?BATTLE))))

(subclass Game Contest)
(subclass Game RecreationOrExercise)
(documentation Game EnglishLanguage "A &%Contest whose purpose is the
enjoyment/stimulation of the participants or spectators of the &%Game.")

(subclass Sport Game)
(documentation Sport EnglishLanguage "A &%Game which requires some degree of physical
exercion from the participants of the game.")

(subclass LegalAction Contest)
(documentation LegalAction EnglishLanguage "Any &%Process where a &%CognitiveAgent seeks
to obtain something through a court of law.")

(subclass Maneuver IntentionalProcess)
(documentation Maneuver EnglishLanguage "An intentional move or play within a &%Contest.
In many cases, a &%Maneuver is a realization of part of a strategy for
winning the &%Contest, but it also may be just an arbitrary or semi-arbitrary
division of the overarching &%Contest, e.g. innings in a baseball game.")

(=>
   (instance ?MOVE Maneuver)
   (exists (?CONTEST)
      (and
         (instance ?CONTEST Contest)
         (subProcess ?MOVE ?CONTEST))))

(subclass Attack Maneuver)
(documentation Attack EnglishLanguage "A &%Maneuver in a &%ViolentContest where the
&%agent attempts to inflict damage on the &%patient.")

(=>
   (instance ?ATTACK Attack)
   (exists (?CONTEST)
      (and
         (instance ?CONTEST ViolentContest)
         (subProcess ?ATTACK ?CONTEST))))

(=>
   (and
      (instance ?ATTACK Attack)
      (agent ?ATTACK ?AGENT)
      (patient ?ATTACK ?OBJ))
   (hasPurposeForAgent ?ATTACK
     (exists (?DAMAGE)
       (and
         (instance ?DAMAGE Damaging)
         (patient ?DAMAGE ?OBJ))) ?AGENT))

(subclass DefensiveManeuver Maneuver)
(documentation DefensiveManeuver EnglishLanguage "A &%Maneuver in a &%ViolentContest
where the &%agent attempts to avoid being damaged.")

(=>
   (instance ?DEFENSE DefensiveManeuver)
   (exists (?CONTEST)
      (and
         (instance ?CONTEST ViolentContest)
         (subProcess ?DEFENSE ?CONTEST))))

(=>
  (and
    (instance ?DEFENSE DefensiveManeuver)
    (agent ?DEFENSE ?AGENT))
  (hasPurposeForAgent ?DEFENSE
    (not
      (exists (?DAMAGE)
        (and
          (instance ?DAMAGE Damaging)
          (patient ?DAMAGE ?AGENT)))) ?AGENT))

(=>
   (and
      (instance ?MANEUVER Maneuver)
      (instance ?CONTEST ViolentContest)
      (subProcess ?MANEUVER ?CONTEST))
   (or
      (instance ?MANEUVER Attack)
      (instance ?MANEUVER DefensiveManeuver)))

(subclass Perception PsychologicalProcess)
(documentation Perception EnglishLanguage "Sensing some aspect of the material world.
Note that the &%agent of this sensing is assumed to be an &%Animal.")

(=>
   (and
      (instance ?PERCEPT Perception)
      (agent ?PERCEPT ?AGENT))
   (instance ?AGENT Animal))

(=>
   (instance ?AGENT SentientAgent)
   (capability Perception experiencer ?AGENT))

      
(instance ImpairmentFn UnaryFunction)
(documentation ImpairmentFn EnglishLanguage "A faulty or compromised
&%Process of the normal body.")
(domainSubclass ImpairmentFn 1 PhysiologicProcess)
(rangeSubclass ImpairmentFn BiologicalProcess)
(termFormat EnglishLanguage ImpairmentFn "impairment")
(format EnglishLanguage ImpairmentFn "impairment in %1")

(=>
  (and
    (instance ?SI (ImpairmentFn ?S))
    (instrument ?SI ?A))
  (exists (?A2)
    (and
      (not 
        (equal ?A2 ?A))
      (capability ?S instrument ?A2)
      (not
        (capability ?S instrument ?A)))))
   
(instance SenseImpairmentFn UnaryFunction)
(documentation SenseImpairmentFn EnglishLanguage "A diminished capacity for &%Perception
of some sort.")
(domainSubclass SenseImpairmentFn 1 Perception)
(rangeSubclass SenseImpairmentFn PathologicProcess)
(termFormat EnglishLanguage SenseImpairmentFn "sense impairment")
(format EnglishLanguage SenseImpairmentFn "impairment in %1")

(=>
  (and
    (instance ?SI (SenseImpairmentFn ?S))
    (experiencer ?SI ?A))
  (exists (?A2)
    (and
      (not 
        (equal ?A2 ?A))
      (capability ?S experiencer ?A2)
      (not
        (capability ?S experiencer ?A)))))
       
(instance SenseInabilityFn UnaryFunction)
(documentation SenseInabilityFn EnglishLanguage "The class of lacking capacity for &%Perception
of some sort.")
(domainSubclass SenseInabilityFn 1 Perception)
(rangeSubclass SenseInabilityFn PathologicProcess)
(termFormat EnglishLanguage SenseInabilityFn "no ability of")
(format EnglishLanguage SenseInabilityFn "not %1")

(=>
  (and
    (instance ?SI (SenseImpairmentFn ?S))
    (experiencer ?SI ?A))
  (not
    (capability ?S experiencer ?A)))
                     
(subclass Seeing Perception)
(documentation Seeing EnglishLanguage "The &%subclass of &%Perception in which the
sensing is done by an ocular &%Organ.")

(=>
   (and
      (instance ?SEE Seeing)
      (agent ?SEE ?AGENT)
      (patient ?SEE ?OBJ))
    (exists (?PROP)
       (and
          (instance ?PROP ColorAttribute)
          (knows ?AGENT (attribute ?OBJ ?PROP)))))

(=>
  (and
    (instance ?SEE Seeing)
    (patient ?SEE ?OBJ))
  (holdsDuring (WhenFn ?SEE)
    (attribute ?OBJ Illuminated)))

(=>
  (and
    (instance ?SEE Seeing)
    (patient ?SEE ?OBJ))
  (exists (?ATTR)
    (and
      (instance ?ATTR ColorAttribute)
      (holdsDuring (WhenFn ?SEE)
        (attribute ?OBJ ?ATTR)))))

(subclass Looking Seeing)
(subclass Looking IntentionalProcess)
(documentation Looking EnglishLanguage "Any instance of &%Seeing which is intentional.")

(subclass Smelling Perception)
(documentation Smelling EnglishLanguage "The &%subclass of &%Perception in which the
sensing is done by an olefactory &%Organ.")

(=>
   (and
      (instance ?SMELL Smelling)
      (patient ?SMELL ?OBJ))
   (exists (?ATTR)
      (and
         (instance ?ATTR OlfactoryAttribute)
         (attribute ?OBJ ?ATTR))))

(subclass Tasting Perception)
(documentation Tasting EnglishLanguage "The &%subclass of &%Perception in which the
sensing is done by of an &%Organ which can discriminate various tastes.")

(=>
   (and
      (instance ?TASTE Tasting)
      (patient ?TASTE ?OBJ))
   (exists (?ATTR)
      (and
         (instance ?ATTR TasteAttribute)
         (attribute ?OBJ ?ATTR))))

(subclass Hearing Perception)
(documentation Hearing EnglishLanguage "The &%subclass of &%Perception in which the
sensing is done by an auditory &%Organ.")

(=>
   (and
      (instance ?HEAR Hearing)
      (patient ?HEAR ?OBJ))
   (exists (?ATTR)
      (and
         (instance ?ATTR SoundAttribute)
         (attribute ?OBJ ?ATTR))))

;; NS: add.
(subclass SoundAttribute PerceptualAttribute)

;MSv: delete since PerceptualAttribute is now subclass of RelationalAttribute
;(subclass SoundAttribute RelationalAttribute)
(documentation SoundAttribute EnglishLanguage "The volume of sound relative to a
listener.")

(instance Audible SoundAttribute)
(instance Inaudible SoundAttribute)
(documentation Inaudible EnglishLanguage "A sound level and frequency not capable of being
heard by a &%Human.")
(contraryAttribute Audible Inaudible)
(documentation Audible EnglishLanguage "A sound level and frequency capable of being heard
by a &%Human.")
(=>
  (and
    (instance ?SOUND RadiatingSound)
    (agent ?SOUND ?OBJ)
    (attribute ?SOUND Audible))
  (exists (?HUMAN)
    (and
      (instance ?HUMAN Human)
      (capability
        (KappaFn ?HEAR
          (and
            (instance ?HEAR Hearing)
            (agent ?HEAR ?HUMAN)
            (destination ?HEAR ?HUMAN)
            (origin ?HEAR ?OBJ))) agent ?HUMAN))))

(subclass Listening Hearing)
(subclass Listening IntentionalProcess)
(documentation Listening EnglishLanguage "Any instance of &%Hearing which is
intentional.")

(subclass TactilePerception Perception)
(documentation TactilePerception EnglishLanguage "The &%subclass of &%Perception in which
the sensing is done by &%Touching.  Note that &%Touching need not involve
&%TactilePerception.  For example, a person who has lost all sensation in
both of his legs would have no &%TactilePerception of anything his legs
were &%Touching.")

(=>
   (instance ?TACTILE TactilePerception)
   (exists (?TOUCH)
      (and
         (instance ?TOUCH Touching)
         (subProcess ?TOUCH ?TACTILE))))

(subclass Radiating Motion)
(documentation Radiating EnglishLanguage "Processes in which some form of electromagnetic
radiation, e.g. radio waves, light waves, electrical energy, etc., is given
off or absorbed by something else.")

(subclass RadiatingLight RadiatingElectromagnetic)
(documentation RadiatingLight EnglishLanguage "The &%subclass of &%Radiating in which
light is given off or absorbed.  Some examples include blinking, flashing,
and glittering.")

(=>
  (and
    (instance ?EMIT RadiatingLight)
    (patient ?EMIT ?REGION)
    (instance ?REGION Region))
  (attribute ?REGION Illuminated))

(=>
  (attribute ?REGION Illuminated)
  (exists (?EMIT)
    (and
      (instance ?EMIT RadiatingLight)
      (patient ?EMIT ?REGION)
      (instance ?REGION Region))))

(subclass RadiatingInfrared RadiatingElectromagnetic)
(documentation RadiatingXRay EnglishLanguage "A form of &%RadiatingElectromagnetic with
&%wavelength ranging from 0.01 to 10 &%Nanometers, corresponding to frequencies in the
range 30 petahertz to 30 exahertz and energies in the range 100 eV to 100 keV.")
(subclass RadiatingXRay RadiatingElectromagnetic)

(subclass RadiatingSound Radiating)
(documentation RadiatingSound EnglishLanguage "The &%subclass of &%Radiating in which
sound waves are given off or absorbed.  Some examples include creaking,
roaring, and whistling.")

(=>
   (and
      (instance ?EMIT RadiatingSound)
      (agent ?EMIT ?SOUND))
   (exists (?ATTR)
      (and
         (instance ?ATTR SoundAttribute)
         (attribute ?SOUND ?ATTR))))

;; KJN: Removing this and renaming it to MakingMusic to be consistent with the Verb
;; form of most Processes
;;(subclass Music RadiatingSound)
;;(documentation Music EnglishLanguage "The &%subclass of &%RadiatingSound where the
;;sound is intended to be melodic and is produced deliberately.")

(subclass MakingMusic RadiatingSound)
(documentation MakingMusic EnglishLanguage "&%MakingMusic is a type of &%RadiatingSound
where the &%result is intended to be melodic and is produced delibrately")

(comment MakingMusic "Changing the old Music to &%MakingMusic to be more consistent with
the verb-form that &%Process seem to take. (09-14-2011)" "KJN")

(partition MakingMusic MakingInstrumentalMusic MakingVocalMusic)
(subclass MakingInstrumentalMusic MakingMusic)
(documentation MakingInstrumentalMusic EnglishLanguage "&%MakingInstrumentalMusic is a
type of &%MakingMusic which is produced using some kind of &%MusicalInstrument")

(=>
  (instance ?M MakingInstrumentalMusic)
  (exists (?I)
    (and
      (instance ?I MusicalInstrument)
      (instrument ?M ?I))))

(subclass Vocalizing RadiatingSound)
(subclass Vocalizing OrganismProcess)
(documentation Vocalizing EnglishLanguage "Any instance of &%RadiatingSound where
the instrument is the vocal cord.  This covers grunts, screams, roars, as well as
&%Speaking.")

(subclass MakingVocalMusic MakingMusic)
(subclass MakingVocalMusic Vocalizing)
(documentation MakingVocalMusic EnglishLanguage "&%MakingVocalMusic is a type of
&%MakingMusic which is produced by using the vocal cords")

(comment MakingVocalMusic "Currently, &%VocalMusic also inherits from &%Speaking.
Changing this to more general &%Vocalizing.  Acapella groups today use their &%VocalCord
to create music in ways that are more than just speaking. (09-14-2011)" "KJN")

(subclass Singing MakingVocalMusic)
(documentation Singing EnglishLanguage "&%Singing is a type of &%MakingVocalMusic wherein
words are produced by the singer. This is different from other forms of &%MakingVocalMusic
such as humming or scatting or beatboxing, where the vocal cords are used to create
the music but no words are formed.")

(=>
  (instance ?S Singing)
  (exists (?W)
    (and
      (patient ?S ?W)
      (instance ?W Word))))

(subclass RadiatingElectromagnetic Radiating)
(documentation RadiatingElectromagnetic EnglishLanguage "&%RadiatingElectromagnetic
is the subclass of &%Radiating processes in which electromagnetic
radiation is transmitted or absorbed.")

(subclass RadiatingNuclear Radiating)
(documentation RadiatingNuclear EnglishLanguage "Releasing atomic energy, i.e. energy from
a nuclear reaction.")

(subclass StateChange InternalChange)
(documentation StateChange EnglishLanguage "Any &%Process where the &%PhysicalState
of &%part of the &%patient of the &%Process changes.")

(=>
   (and
      (instance ?PROCESS StateChange)
      (patient ?PROCESS ?OBJ))
   (exists (?PART ?STATE1 ?STATE2)
      (and
         (part ?PART ?OBJ)
         (instance ?STATE1 PhysicalState)
         (instance ?STATE2 PhysicalState)
         (not (equal ?STATE1 ?STATE2))
         (holdsDuring (BeginFn (WhenFn ?PROCESS)) (attribute ?PART ?STATE1))
         (holdsDuring (EndFn (WhenFn ?PROCESS)) (attribute ?PART ?STATE2)))))

(instance atomicNumber BinaryPredicate)
(instance atomicNumber AsymmetricRelation)
(instance atomicNumber PartialValuedRelation)
(domainSubclass atomicNumber 1 ElementalSubstance)
(domain atomicNumber 2 PositiveInteger)
(documentation atomicNumber EnglishLanguage "(&%atomicNumber ?ELEMENT ?NUMBER) means that
the &%ElementalSubstance ?ELEMENT has the atomic number ?NUMBER.  The
atomic number is the number of &%Protons in the nucleus of an &%Atom.")

(=>
  (atomicNumber ?TYPE ?NUMBER)
  (=>
    (and
      (instance ?SUBSTANCE ?TYPE)
      (part ?ATOM ?SUBSTANCE)
      (instance ?ATOM Atom))
    (equal ?NUMBER
      (CardinalityFn
        (KappaFn ?PROTON
          (and
            (part ?PROTON ?ATOM)
            (instance ?PROTON Proton)))))))

(instance boilingPoint BinaryPredicate)
(domainSubclass boilingPoint 1 PureSubstance)
(domain boilingPoint 2 TemperatureMeasure)
(documentation boilingPoint EnglishLanguage "The temperature at which a &%PureSubstance
changes state from a &%Liquid to a &%Gas.")

(=>
  (and
    (instance ?X ?Y)
    (subclass ?Y PureSubstance)
    (barometricPressure ?X (MeasureFn ?PRES InchMercury))
    (greaterThan 29.92 ?PRES)
    (boilingPoint ?Y (MeasureFn ?BOIL KelvinDegree))
    (measure ?X (MeasureFn ?TEMP KelvinDegree))
    (greaterThan ?TEMP ?BOIL))
  (attribute ?X Gas))

 (=>
   (and
     (instance ?X ?Y)
     (subclass ?Y PureSubstance)
     (boilingPoint ?Y (MeasureFn ?BOIL KelvinDegree))
     (meltingPoint ?Y (MeasureFn ?MELT KelvinDegree))
     (measure ?X (MeasureFn ?TEMP KelvinDegree))
     (greaterThan ?TEMP ?MELT)
     (lessThan ?TEMP ?BOIL))
   (attribute ?X Liquid))

(=>
  (and
    (instance ?X ?Y)
    (subclass ?Y PureSubstance)
    (meltingPoint ?Y (MeasureFn ?MELT KelvinDegree))
    (barometricPressure ?X (MeasureFn ?PRES InchMercury))
    (greaterThan ?PRES 29.92)
    (measure ?X (MeasureFn ?TEMP KelvinDegree))
    (lessThan ?TEMP ?MELT))
  (attribute ?X Solid))

(=>
   (and
      (instance ?BOILING Boiling)
      (boilingPoint ?TYPE (MeasureFn ?TEMP1 ?MEASURE))
      (instance ?SUBSTANCE ?TYPE)
      (patient ?BOILING ?SUBSTANCE)
      (holdsDuring (WhenFn ?BOILING) (measure ?SUBSTANCE (MeasureFn ?TEMP2 ?MEASURE)))
      (instance ?MEASURE UnitOfTemperature))
   (greaterThanOrEqualTo ?TEMP2 ?TEMP1))

(=>
   (and
      (boilingPoint ?TYPE (MeasureFn ?TEMP1 ?MEASURE))
      (instance ?SUBSTANCE ?TYPE)
      (holdsDuring ?TIME (measure ?SUBSTANCE (MeasureFn ?TEMP2 ?MEASURE)))
      (instance ?MEASURE UnitOfTemperature)
      (greaterThanOrEqualTo ?TEMP2 ?TEMP1))
   (or
      (holdsDuring ?TIME (attribute ?SUBSTANCE Gas))
      (exists (?BOIL)
         (and
            (overlapsTemporally (WhenFn ?BOIL) ?TIME)
            (instance ?BOIL Boiling)
            (patient ?BOIL ?SUBSTANCE)))))

(instance meltingPoint BinaryPredicate)
(domainSubclass meltingPoint 1 PureSubstance)
(domain meltingPoint 2 TemperatureMeasure)
(documentation meltingPoint EnglishLanguage "The temperature at which a &%PureSubstance
changes state from a &%Solid to a &%Liquid.  Note that &%Arsenic can sublimate directly
from &%Solid to &%Gas which means that its melting and boiling points are equal.")

(=>
  (and
    (instance ?SUBSTANCE ?TYPE)
    (boilingPoint ?TYPE (MeasureFn ?TEMP1 ?MEASURE))
    (meltingPoint ?TYPE (MeasureFn ?TEMP2 ?MEASURE))
    (instance ?MEASURE UnitOfTemperature)
    (holdsDuring ?TIME (measure ?SUBSTANCE (MeasureFn ?TEMP3 ?MEASURE)))
    (greaterThan ?TEMP3 ?TEMP2)
    (lessThan ?TEMP3 ?TEMP1))
  (or
    (holdsDuring ?TIME (attribute ?SUBSTANCE Liquid))
    (exists (?MELT)
      (and
        (overlapsTemporally (WhenFn ?MELT) ?TIME)
        (instance ?MELT Melting)
        (patient ?MELT ?SUBSTANCE)))))

(=>
  (and
    (instance ?SUBSTANCE ?TYPE)
    (meltingPoint ?TYPE (MeasureFn ?TEMP1 ?MEASURE))
    (holdsDuring ?TIME (measure ?SUBSTANCE (MeasureFn ?TEMP2 ?MEASURE)))
    (instance ?MEASURE UnitOfTemperature)
    (lessThan ?TEMP2 ?TEMP1))
  (or
    (holdsDuring ?TIME (attribute ?SUBSTANCE Solid))
    (exists (?FREEZE)
      (and
        (overlapsTemporally (WhenFn ?FREEZE) ?TIME)
        (instance ?FREEZE Freezing)
        (patient ?FREEZE ?SUBSTANCE)))))

(=>
  (and
    (meltingPoint ?TYPE (MeasureFn ?MELT ?U))
    (boilingPoint ?TYPE (MeasureFn ?BOIL ?U)))
  (greaterThanOrEqualTo ?BOIL ?MELT))

(subclass Melting StateChange)
(documentation Melting EnglishLanguage "The &%Class of &%Processes where an &%Object is
heated and converted from a &%Solid to a &%Liquid.")

(=>
   (instance ?MELT Melting)
   (exists (?HEAT)
      (and
         (instance ?HEAT Heating)
         (subProcess ?HEAT ?MELT))))

(=>
   (and
      (instance ?MELT Melting)
      (patient ?MELT ?OBJ))
   (exists (?PART)
      (and
         (part ?PART ?OBJ)
         (holdsDuring (BeginFn (WhenFn ?MELT)) (attribute ?PART Solid))
         (holdsDuring (EndFn (WhenFn ?MELT)) (attribute ?PART Liquid)))))

(subclass Boiling StateChange)
(documentation Boiling EnglishLanguage "The &%Class of &%Processes where a &%Substance is
heated and converted from a &%Liquid to a &%Gas.")

(=>
   (instance ?BOIL Boiling)
   (exists (?HEAT)
      (and
         (instance ?HEAT Heating)
         (subProcess ?HEAT ?BOIL))))

(=>
   (and
      (instance ?BOIL Boiling)
      (patient ?BOIL ?OBJ))
   (exists (?PART)
      (and
         (part ?PART ?OBJ)
         (holdsDuring (BeginFn (WhenFn ?BOIL)) (attribute ?PART Liquid))
         (holdsDuring (EndFn (WhenFn ?BOIL)) (attribute ?PART Gas)))))

(subclass Evaporating StateChange)
(documentation Evaporating EnglishLanguage "The &%Class of &%Processes where a &%Substance
is converted from a &%Liquid to a &%Gas at a temperature below its &%Boiling point.")

(=>
   (and
      (instance ?EVAP Evaporating)
      (boilingPoint ?OBJ (MeasureFn ?BOILVAL ?MEAS))
      (measure ?OBJ (MeasureFn ?VAL ?MEAS))
      (instance ?MEAS UnitOfTemperature)
      (patient ?EVAP ?OBJ))
   (exists (?PART)
      (and
         (part ?PART ?OBJ)
         (greaterThan ?BOILVAL ?VAL)
         (holdsDuring (BeginFn (WhenFn ?EVAP)) (attribute ?PART Liquid))
         (holdsDuring (EndFn (WhenFn ?EVAP)) (attribute ?PART Gas)))))

(subclass Condensing StateChange)
(documentation Condensing EnglishLanguage "The &%Class of &%Processes where an &%Object is
cooled and converted from a &%Gas to a &%Liquid.")

(=>
   (instance ?COND Condensing)
   (exists (?COOL)
      (and
         (instance ?COOL Cooling)
         (subProcess ?COOL ?COND))))

(=>
   (and
      (instance ?COND Condensing)
      (patient ?COND ?OBJ))
   (exists (?PART)
      (and
         (part ?PART ?OBJ)
         (holdsDuring (BeginFn (WhenFn ?COND)) (attribute ?PART Gas))
         (holdsDuring (EndFn (WhenFn ?COND)) (attribute ?PART Liquid)))))

(subclass Freezing StateChange)
(documentation Freezing EnglishLanguage "The &%Class of &%Processes where an &%Object is
cooled and converted from a &%Liquid to a &%Solid.")

(=>
   (instance ?FREEZE Freezing)
   (exists (?COOL)
      (and
         (instance ?COOL Cooling)
         (subProcess ?COOL ?FREEZE))))

(=>
   (and
      (instance ?FREEZE Freezing)
      (patient ?FREEZE ?OBJ))
   (exists (?PART)
      (and
         (part ?PART ?OBJ)
         (holdsDuring (BeginFn (WhenFn ?FREEZE)) (attribute ?PART Liquid))
         (holdsDuring (EndFn (WhenFn ?FREEZE)) (attribute ?PART Solid)))))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;
;;    OBJECTS    ;;
;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'MEREOTOPOLOGY'
;; INCLUDES 'PROCESSES'
;; INCLUDES 'QUALITIES'

(subclass AstronomicalBody Object)
(disjoint AstronomicalBody GeographicArea)
(documentation AstronomicalBody EnglishLanguage "The &%Class of all astronomical
objects of significant size.  It includes &%SelfConnectedObjects
like planets, stars, and asteroids, as well as &%Collections like
nebulae, galaxies, and constellations.  Note that the planet Earth
is an &%AstronomicalBody, but every &%Region of Earth is a
&%GeographicArea.")

(subclass GeographicArea Region)
(partition GeographicArea WaterArea LandArea)
(documentation GeographicArea EnglishLanguage "A geographic location, generally having
definite boundaries.  Note that this differs from its immediate superclass
&%Region in that a &%GeographicArea is a three-dimensional &%Region of the
earth.  Accordingly, all astronomical objects other than earth and all
one-dimensional and two-dimensional &%Regions are not classed under
&%GeographicArea.")

(subclass LocalizablePlace GeographicArea)

(instance geographicSubregion BinaryPredicate)
(instance geographicSubregion TransitiveRelation)
(instance geographicSubregion AsymmetricRelation)
(subrelation geographicSubregion properPart)
(subrelation geographicSubregion located)
(domain geographicSubregion 1 GeographicArea)
(domain geographicSubregion 2 GeographicArea)
(documentation geographicSubregion EnglishLanguage "(&%geographicSubregion ?PART ?WHOLE)
means that the &%GeographicArea ?PART is part of the &%GeographicArea
?WHOLE.")

(subclass GeopoliticalArea GeographicArea)
(subclass GeopoliticalArea Agent)
(documentation GeopoliticalArea EnglishLanguage "Any &%GeographicArea which is associated
with some sort of political structure.  This class includes &%LandArea, &%Cities,
districts of cities, counties, etc.  Note that the identity
of a &%GeopoliticalArea may remain constant after a change in borders.")

(=>
   (and
      (instance ?AREA GeopoliticalArea)
  (leader (GovernmentFn ?AREA) ?PERSON))
   (leader ?AREA ?PERSON))

(=>
   (and
      (instance ?AREA GeopoliticalArea)
  (leader ?AREA ?PERSON))
(leader (GovernmentFn ?AREA) ?PERSON))

(=>
  (and
    (instance ?EVENT Election)
    (agent ?EVENT ?AGENT)
    (instance ?AGENT GeopoliticalArea))
  (instance ?EVENT PoliticalProcess))

(=>
  (and
    (instance ?EVENT Election)
    (agent ?EVENT ?AGENT)
    (instance ?AREA GeopoliticalArea)
    (instance ?AGENT (GovernmentFn ?AREA)))
  (instance ?EVENT PoliticalProcess))

(instance geopoliticalSubdivision AsymmetricRelation)
(instance geopoliticalSubdivision TransitiveRelation)
(subrelation geopoliticalSubdivision geographicSubregion)
(domain geopoliticalSubdivision 1 GeopoliticalArea)
(domain geopoliticalSubdivision 2 GeopoliticalArea)
(documentation geopoliticalSubdivision EnglishLanguage "(&%geopoliticalSubdivision
?AREA1 ?AREA2) means that ?AREA1 is any geopolitical part of ?AREA2,
that is, ?AREA1 is an integral &%geographicSubregion of ?AREA2 (not a
&%DependencyOrSpecialSovereigntyArea), having its own associated
&%GovernmentOrganization which is subordinated to or constrained by
the government of ?AREA2.  Cf. &%dependentGeopoliticalArea.")

;; NS: delete.
;; (=>
;;   (geopoliticalSubdivision ?SUB ?AREA)
;;   (not (instance ?SUB Nation)))

;; NS: Note that Government.kif contains the following formulae:
;;
;; (subclass IndependentState Nation)
;;
;; (=>
;;   (geopoliticalSubdivision ?SUB ?AREA)
;;   (not (instance ?SUB IndependentState)))
;;
;; It would be best to rewrite all rules in which &%Nation is used in
;; the sense of &%IndependentState so that they use
;; &%IndependentState.  This would allow &%Nation to be interpreted in
;; a more general "cultural" or "homeland" sense, as suggested by
;; (subclass IndependentState Nation).  England, Scotland, Wales, and
;; NorthernIreland, for example, would be &%Nations, but not
;; (currently) &%IndependentStates.

(subclass WaterArea GeographicArea)
(documentation WaterArea EnglishLanguage "A body which is made up predominantly of water,
e.g. rivers, lakes, oceans, etc.")

(=>
   (instance ?AREA WaterArea)
   (exists (?BED ?HOLE ?WATER)
      (and
         (equal (HoleHostFn ?HOLE) ?BED)
         (instance ?WATER Water)
         (properlyFills ?WATER ?HOLE)
         (equal (MereologicalSumFn ?BED ?WATER) ?AREA))))

(subclass SaltWaterArea WaterArea)
(disjoint SaltWaterArea FreshWaterArea)
(documentation SaltWaterArea EnglishLanguage "A &%WaterArea whose &%Water is saline, e.g.
oceans and seas.")

(subclass FreshWaterArea WaterArea)
(documentation FreshWaterArea EnglishLanguage "A &%WaterArea whose &%Water is not saline,
e.g. most rivers and lakes.")

;; KJN: Moving this to MILO to remove dependencies
;;(subclass StreamWaterArea WaterArea)
;;(disjoint StreamWaterArea StaticWaterArea)
;;(documentation StreamWaterArea EnglishLanguage "A relatively narrow &%WaterArea where the
;;water flows constantly and in the same direction, e.g. a river, a stream,
;;etc.")

;;(subclass StaticWaterArea WaterArea)
;;(documentation StaticWaterArea EnglishLanguage "A &%WaterArea in which water does not flow
;;constantly or in the same direction, e.g. most lakes and ponds.")

(subclass LandArea GeographicArea)
(documentation LandArea EnglishLanguage "An area which is predominantly solid ground,
e.g. a &%Nation, a mountain, a desert, etc.  Note that a &%LandArea may
contain some relatively small &%WaterAreas.  For example, Australia is
a &%LandArea even though it contains various rivers and lakes.")

(=>
   (instance ?LAND1 LandArea)
   (exists (?LAND2)
      (and
         (part ?LAND1 ?LAND2)
         (or
            (instance ?LAND2 Continent)
            (instance ?LAND2 Island)))))

(subclass ShoreArea LandArea)
(documentation ShoreArea EnglishLanguage "A &%ShoreArea is a &%LandArea approximately
1-3 km wide bordering a body of water, such as an ocean, bay, river,
or lake.  A &%ShoreArea may comprise a variety of &%LandForms, such as dunes,
sloughs, and marshes.")

(=>
   (instance ?BANK ShoreArea)
   (exists (?WATER)
      (and
         (instance ?WATER WaterArea)
         (meetsSpatially ?BANK ?WATER))))

(subclass Continent LandArea)
(equal (CardinalityFn Continent) 7)
(documentation Continent EnglishLanguage "As defined in the CIA World Fact Book,
&%Continent covers seven land masses: &%Africa, &%NorthAmerica,
&%SouthAmerica, &%Antarctica, &%Europe, &%Asia, and &%Oceania.
Note that &%Australia, counted as a continent in some other systems,
is included in &%Oceania in the Fact Book.  As a consequence, there
is no &%Nation which is also a &%Continent.")

(subclass Island LandArea)
(documentation Island EnglishLanguage "A &%LandArea that is completely surrounded by a
&%WaterArea.")

(=>
  (instance ?ISLAND Island)
  (not
    (exists (?AREA ?PART1 ?PART2)
      (and
        (instance ?AREA LandArea)
        (part ?PART1 ?ISLAND)
        (part ?PART2 ?AREA)
        (not
          (part ?ISLAND ?AREA))
        (not
          (part ?AREA ?ISLAND))
        (meetsSpatially ?PART1 ?PART2)))))

(=>
  (and
    (instance ?ISLE Island)
    (instance ?AREA GeographicArea)
    (meetsSpatially ?ISLE ?AREA))
  (not
    (instance ?AREA LandArea)))

(=>
  (instance ?ISLE Island)
  (exists (?WATER)
    (and
      (instance ?WATER WaterArea)
      (meetsSpatially ?ISLE ?WATER))))

(subclass Nation GeopoliticalArea)
(subclass Nation LandArea)
(documentation Nation EnglishLanguage "The broadest &%GeopoliticalArea, i.e. &%Nations are
&%GeopoliticalAreas that are not part of any other overarching and
comprehensive governance structure (excepting commonwealths and other sorts
of loose international organizations).")

(subclass StateOrProvince GeopoliticalArea)
(subclass StateOrProvince LandArea)
(documentation StateOrProvince EnglishLanguage "Administrative subdivisions of a
&%Nation that are broader than any other political subdivisions that
may exist.  This &%Class includes the states of the United States, as
well as the provinces of Canada and European countries.")

(=>
   (instance ?STATE StateOrProvince)
   (exists (?LAND)
      (and
         (instance ?LAND Nation)
         (properPart ?STATE ?LAND))))

(subclass City GeopoliticalArea)
(subclass City LandArea)
(documentation City EnglishLanguage "A &%LandArea of relatively small size, inhabited
by a community of people, and having some sort of political structure.
Note that this class includes both large cities and small settlements
like towns, villages, hamlets, etc.")

(subclass County GeopoliticalArea)
(subclass County LandArea)
(documentation County EnglishLanguage "A &%GeopoliticalArea that is larger than a city,
usually encompassing several cities, and smaller than a &%StateOrProvince.
Aside from City, this is the smallest geopolitical subdivision, and it is
known by various names in various countries, e.g.  parrish, commune, etc.")

(=>
   (instance ?STATE County)
   (exists (?LAND)
      (and
         (instance ?LAND StateOrProvince)
         (properPart ?STATE ?LAND))))

(subclass Transitway Region)
(subclass Transitway SelfConnectedObject)
(documentation Transitway EnglishLanguage "&%Transitway is the broadest class
of regions which may be passed through as a &%path in instances
of &%Translocation.  &%Transitway includes land, air, and sea
regions, and it includes both natural and artificial transitways.")

(subclass LandTransitway Transitway)
(subclass LandTransitway LandArea)
(documentation LandTransitway EnglishLanguage "&%LandTransitway is the subclass of
&%Transitway that represents areas intended for motion over the ground.")

(=>
  (instance ?WAY Transitway)
  (hasPurpose ?WAY
    (exists (?TRANSPORT)
      (and
        (instance ?TRANSPORT Transportation)
        (path ?TRANSPORT ?WAY)))))

(subclass Roadway LandTransitway)
(documentation Roadway EnglishLanguage "&%Roadway is the subclass of &%LandTransitways
that are areas intended for surface travel by self-powered, wheeled
vehicles, excluding those that travel on tracks.  &%Roadways have been
at least minimally improved to enable the passage of vehicles.
&%Roadways include dirt and gravelled roads, paved streets, and
expressways.")

(subclass Water CompoundSubstance)
(documentation Water EnglishLanguage "The &%Class of samples of the compound H20.  Note
that this &%Class covers both pure and impure &%Water.")

(subclass Mineral Substance)

(documentation Mineral EnglishLanguage "Any of various naturally occurring homogeneous
substances (such as stone, coal, salt, sulfur, sand, petroleum), or
synthetic substances having the chemical composition and crystalline form
and properties of a naturally occurring mineral.")

(instance developmentalForm BinaryPredicate)
(instance developmentalForm AsymmetricRelation)
(instance developmentalForm TransitiveRelation)
(subrelation developmentalForm attribute)
(domain developmentalForm 1 OrganicObject)
(domain developmentalForm 2 DevelopmentalAttribute)

;; NS: delete.
;; (documentation developmentalForm EnglishLanguage "(&%developmentalForm ?OBJECT ?FORM)
;; means that ?FORM is an earlier stage in the individual maturation of
;; ?OBJECT.  For example, tadpole and caterpillar are &%developmentalForms
;; of frogs and butterflies, respectively.")

;; NS: add.
(documentation developmentalForm EnglishLanguage "(&%developmentalForm
?OBJECT ?FORM) means that ?FORM describes a stage in the individual
maturation of ?OBJECT.  For example, tadpole and caterpillar are
&%developmentalForms of frogs and butterflies, respectively.")

(=>
   (and
      (holdsDuring ?TIME1 (developmentalForm ?OBJ ?ATTR1))
      (successorAttributeClosure ?ATTR2 ?ATTR1))
   (exists (?TIME2)
      (and
         (earlier ?TIME2 ?TIME1)
         (holdsDuring ?TIME2 (developmentalForm ?OBJ ?ATTR2)))))

(subclass OrganicObject CorpuscularObject)
(subclass OrganicObject OrganicThing)
(partition OrganicObject Organism AnatomicalStructure)
(documentation OrganicObject EnglishLanguage "This class encompasses &%Organisms,
&%CorpuscularObjects that are parts of &%Organisms, i.e. &%BodyParts,
and &%CorpuscularObjects that are nonintentionally produced by
&%Organisms, e.g. &%ReproductiveBodies.")

(subclass Organism OrganicObject)
(subclass Organism Agent)
(disjoint Organism Artifact)
(partition Organism Animal Plant Fungus Microorganism)
(documentation Organism EnglishLanguage "Generally, a living individual, including all
&%Plants and &%Animals.")

(=>
   (instance ?ORGANISM Organism)
   (exists (?BIRTH)
      (and
         (instance ?BIRTH Birth)
         (experiencer ?BIRTH ?ORGANISM))))

(instance inhabits BinaryPredicate)
(instance inhabits AsymmetricRelation)
(domain inhabits 1 Organism)
(domain inhabits 2 Object)
(documentation inhabits EnglishLanguage "A very basic notion of living within something
else.  (&%inhabits ?ORGANISM ?OBJECT) means that ?OBJECT is the residence
(either permanent or temporary), nest, etc. of ?ORGANISM.")

(=>
  (holdsDuring ?T1 (inhabits ?ORGANISM ?OBJ))
  (exists (?TIME)
    (and
      (instance ?TIME TimeInterval)
      (temporalPart ?TIME ?T1)
      (holdsDuring ?TIME (located ?ORGANISM ?OBJ)))))

(subrelation home inhabits)
(instance home BinaryPredicate)
(domain home 1 Human)
(domain home 2 PermanentResidence)
(documentation home EnglishLanguage "The relation between a &%Human and a
&%PermanentResidence of the &%Human.")

(subrelation stays inhabits)
(instance stays BinaryPredicate)
(disjointRelation stays home)
(domain stays 1 Human)
(domain stays 2 TemporaryResidence)
(documentation stays EnglishLanguage "The relation between a &%Human and a
&%TemporaryResidence of the &%Human.")

(subclass Plant Organism)
(documentation Plant EnglishLanguage "An &%Organism having cellulose cell walls, growing
by synthesis of &%Substances, generally distinguished by the presence of
chlorophyll, and lacking the power of locomotion.")

(subclass FloweringPlant Plant)
(documentation FloweringPlant EnglishLanguage "A &%Plant that produces seeds and flowers.
This class includes trees, shrubs, herbs, and flowers.")

(subclass NonFloweringPlant Plant)
(disjoint NonFloweringPlant FloweringPlant)
(disjointDecomposition NonFloweringPlant Alga Fern Moss)
(documentation NonFloweringPlant EnglishLanguage "A &%Plant that reproduces with spores
and does not produce flowers.")

(subclass Alga NonFloweringPlant)
(documentation Alga EnglishLanguage "A chiefly aquatic plant that contains chlorophyll,
but does not form embryos during development and lacks vascular tissue.")

(=>
  (instance ?ALGA Alga)
  (exists (?WATER)
    (and
      (inhabits ?ALGA ?WATER)
      (instance ?WATER Water))))

(subclass Fungus Organism)
(documentation Fungus EnglishLanguage "A eukaryotic &%Organism characterized by the
absence of chlorophyll and the presence of rigid cell walls. Included
here are both slime molds and true fungi such as yeasts, molds, mildews,
and mushrooms.")

(=>
  (and
    (instance ?FUNGUS Fungus)
    (inhabits ?FUNGUS ?OBJ))
  (instance ?OBJ Organism))

(subclass Moss NonFloweringPlant)
(documentation Moss EnglishLanguage "A &%NonFloweringPlant without true roots and little
if any vascular tissue.")

(subclass Fern NonFloweringPlant)
(documentation Fern EnglishLanguage "A &%NonFloweringPlant that contains vascular tissue.
This class includes true ferns, as well as horsetails, club mosses, and
whisk ferns.")

(subclass Animal Organism)
(partition Animal Vertebrate Invertebrate)
(documentation Animal EnglishLanguage "An &%Organism with eukaryotic &%Cells, and lacking
stiff cell walls, plastids, and photosynthetic pigments.")

(subclass Microorganism Organism)
(documentation Microorganism EnglishLanguage "An &%Organism that can be seen only with
the aid of a microscope.")

(subclass Bacterium Microorganism)
(documentation Bacterium EnglishLanguage "A small, typically one-celled, prokaryotic
&%Microorganism.")

(=>
   (instance ?BACTERIUM Bacterium)
   (exists (?CELL1)
      (and
         (component ?CELL1 ?BACTERIUM)
         (instance ?CELL1 Cell)
         (forall (?CELL2)
            (=>
               (and
                  (component ?CELL2 ?BACTERIUM)
                  (instance ?CELL2 Cell))
               (equal ?CELL1 ?CELL2))))))

(=>
  (and
    (instance ?BACTERIUM Bacterium)
    (inhabits ?BACTERIUM ?OBJ))
  (instance ?OBJ Organism))

(subclass Virus Microorganism)
(documentation Virus EnglishLanguage "An &%Organism consisting of a core of a single
nucleic acid enclosed in a protective coat of protein. A virus may replicate
only inside a host living cell. A virus exhibits some but not all of the
usual characteristics of living things.")

(=>
  (and
    (instance ?VIRUS Virus)
    (inhabits ?VIRUS ?OBJ))
  (instance ?OBJ Organism))

(=>
  (and
    (instance ?VIRUS Virus)
    (instance ?PROC Replication)
    (agent ?PROC ?VIRUS))
  (exists (?CELL)
    (and
      (located ?PROC ?CELL)
      (instance ?CELL Cell))))

(subclass Vertebrate Animal)
(documentation Vertebrate EnglishLanguage "An &%Animal which has a spinal column.")

(subclass Invertebrate Animal)
(disjointDecomposition Invertebrate Worm Mollusk Arthropod)
(documentation Invertebrate EnglishLanguage "An &%Animal which has no spinal column.")

(subclass Worm Invertebrate)
(documentation Worm EnglishLanguage "Long, narrow, soft-bodied &%Invertebrates.")

(subclass Leech Worm)
(documentation Leech EnglishLanguage "Leeches are segmented parasitic
or predatory &%Worms that comprise the subclass Hirudinea within the
phylum Annelida. The best-known species, such as the medicinal leech,
Hirudo medicinalis, are hematophagous, attaching themselves to a host
with a sucker and feeding on &%Blood, having first secreted the peptide
hirudin to prevent the blood from &%Clotting. [from Wikipedia]")
(termFormat EnglishLanguage Leech "leech")

(subclass Mollusk Invertebrate)
(documentation Mollusk EnglishLanguage "Soft-bodied &%Invertebrate that is usually
contained in a shell.  Includes oysters, clams, mussels, snails, slugs,
octopi, and squid.")

(subclass Arthropod Invertebrate)
(disjointDecomposition Arthropod Arachnid Myriapod Insect Crustacean)
(documentation Arthropod EnglishLanguage "A &%Class of &%Invertebrate that includes
&%Arachnids and &%Insects.")

(subclass Arachnid Arthropod)
(documentation Arachnid EnglishLanguage "A &%Class of &%Arthropods that includes
ticks and spiders.")

(subclass Myriapod Arthropod)
(documentation Myriapod EnglishLanguage "A &%Class of &%Arthropods that includes
centipedes and millipedes.")

(subclass Insect Arthropod)
(documentation Insect EnglishLanguage "A &%Class of small &%Arthropods that are
air-breathing and that are distinguished by appearance.")

(subclass Crustacean Arthropod)
(documentation Crustacean EnglishLanguage "A &%Class of &%Arthropods that mainly dwells
in water and has a segmented body and a chitinous exoskeleton.  Includes
lobsters, crabs, shrimp, and barnacles.")

(subclass ColdBloodedVertebrate Vertebrate)
(disjointDecomposition ColdBloodedVertebrate Amphibian Fish Reptile)
(documentation ColdBloodedVertebrate EnglishLanguage "&%Vertebrates whose body temperature
is not internally regulated.")

(subclass WarmBloodedVertebrate Vertebrate)
(disjoint WarmBloodedVertebrate ColdBloodedVertebrate)
(documentation WarmBloodedVertebrate EnglishLanguage "&%Vertebrates whose body temperature
is internally regulated.")

(subclass Amphibian ColdBloodedVertebrate)
(documentation Amphibian EnglishLanguage "A cold-blooded, smooth-skinned &%Vertebrate
which characteristically hatches as an aquatic larva, breathing by
gills.  When mature, the &%Amphibian breathes with &%Lungs.")

(subclass Bird WarmBloodedVertebrate)
(disjoint Bird Mammal)
(documentation Bird EnglishLanguage "A &%Vertebrate having a constant body temperature
and characterized by the presence of feathers.")

(subclass Fish ColdBloodedVertebrate)
(documentation Fish EnglishLanguage "A cold-blooded aquatic &%Vertebrate characterized by
fins and breathing by gills. Included here are &%Fish having either a bony
skeleton, such as a perch, or a cartilaginous skeleton, such as a shark.
Also included are those &%Fish lacking a jaw, such as a lamprey or
hagfish.")

(=>
  (instance ?FISH Fish)
  (exists (?WATER)
    (and
      (inhabits ?FISH ?WATER)
      (instance ?WATER Water))))

(subclass Mammal WarmBloodedVertebrate)
(disjointDecomposition Mammal AquaticMammal HoofedMammal Marsupial Rodent Primate)
(documentation Mammal EnglishLanguage "A &%Vertebrate having a constant body temperature
and characterized by the presence of hair, mammary glands, and sweat
glands.")

(subclass AquaticMammal Mammal)
(documentation AquaticMammal EnglishLanguage "The &%Class of &%Mammals that dwell chiefly
in the water.  Includes whales, dolphins, manatees, seals, and walruses.")

(subclass HoofedMammal Mammal)
(documentation HoofedMammal EnglishLanguage "The &%Class of quadruped &%Mammals with
hooves. Includes horses, cows, sheep, pigs, antelope, etc.")

(subclass Marsupial Mammal)
(documentation Marsupial EnglishLanguage "The &%Class of &%Mammals which have a pouch for
their young.")

(subclass Carnivore Mammal)
(documentation Carnivore EnglishLanguage "The &%Class of flesh-eating &%Mammals.  Members
of this &%Class typically have four or five claws on each paw.  Includes
cats, dogs, bears, racoons, and skunks.")

(=>
   (and
      (instance ?CARNIVORE Carnivore)
      (instance ?EAT Eating)
      (agent ?EAT ?CARNIVORE)
      (patient ?EAT ?PREY))
   (instance ?PREY Animal))

(subclass Canine Carnivore)
(disjoint Canine Feline)
(documentation Canine EnglishLanguage "The &%Class of &%Carnivores with completely
separable toes, nonretractable claws, and long muzzles.")

(subclass Feline Carnivore)
(documentation Feline EnglishLanguage "The &%Class of &%Carnivores with completely
separable toes, slim bodies, and rounded heads.  All felines other than
the cheetah have retractable claws.")

(subclass Rodent Mammal)
(documentation Rodent EnglishLanguage "The &%Class of &%Mammals with one or two pairs
of incisors for gnawing.  Includes rats, mice, guinea pigs, and
rabbits.")

(subclass Primate Mammal)
(disjointDecomposition Primate Ape Monkey Hominid)
(documentation Primate EnglishLanguage "The &%Class of &%Mammals which are
&%Primates.")

(subclass Ape Primate)
(documentation Ape EnglishLanguage "Various &%Primates with no tails or only short
tails.")

(subclass Monkey Primate)
(documentation Monkey EnglishLanguage "Various &%Primates with relatively long
tails.")

(subclass Hominid Primate)
(documentation Hominid EnglishLanguage "Includes &%Humans and relatively recent
ancestors of &%Humans.")

(subclass Human Hominid)
(subclass Human CognitiveAgent)
(partition Human Man Woman)
(documentation Human EnglishLanguage "Modern man, the only remaining species of the Homo
genus.")

(subclass Man Human)
(documentation Man EnglishLanguage "The class of &%Male &%Humans.")

(=>
   (instance ?MAN Man)
   (attribute ?MAN Male))

(subclass Woman Human)
(documentation Woman EnglishLanguage "The class of &%Female &%Humans.")

(=>
   (instance ?WOMAN Woman)
   (attribute ?WOMAN Female))

(subclass Reptile ColdBloodedVertebrate)
(documentation Reptile EnglishLanguage "A &%ColdBloodedVertebrate having an external
covering of scales or horny plates.  &%Reptiles breathe by means of
&%Lungs and generally lay eggs.")

;; The following formulas cover biologically related &%Classes under
;; &%Substance.

(subclass BiologicallyActiveSubstance Substance)
(documentation BiologicallyActiveSubstance EnglishLanguage "A &%Substance that is
capable of inducing a change in the structure or functioning of an
&%Organism.  This &%Class includes &%Substances used in the treatment,
diagnosis, prevention or analysis of normal and abnormal body function.
This &%Class also includes &%Substances that occur naturally in the body
and are administered therapeutically.  Finally, &%BiologicallyActiveSubstance
includes &%Nutrients, most drugs of abuse, and agents that require special
handling because of their toxicity.")

(subclass Nutrient BiologicallyActiveSubstance)
(disjointDecomposition Nutrient Protein Carbohydrate Vitamin)
(documentation Nutrient EnglishLanguage "A &%BiologicallyActiveSubstance required by an
&%Organism. It is generally ingested as &%Food, and it is of primary interest because of
its role in the biologic functioning of the &%Organism.")

(subclass Protein Nutrient)
(documentation Protein EnglishLanguage "A &%Nutrient made up of amino acids joined by
peptide bonds.")

(subclass Enzyme Protein)
(documentation Enzyme EnglishLanguage "A complex &%Protein that is produced by living
cells and which catalyzes specific biochemical reactions. There are six
main types of enzymes:  oxidoreductases, transferases, hydrolases,
lyases, isomerases, and ligases.")

(subclass Carbohydrate Nutrient)
(documentation Carbohydrate EnglishLanguage "An element of living cells and a source of
energy for &%Animals.  This class includes both simple &%Carbohydrates,
i.e. sugars, and complex &%Carbohydrates, i.e. starches.")

(subclass Vitamin Nutrient)
(documentation Vitamin EnglishLanguage "A &%Nutrient present in natural products or made
synthetically, which is essential in the diet of &%Humans and other higher
&%Animals.  Included here are &%Vitamin precursors and provitamins.")

(subclass LiquidMixture Mixture)
(partition LiquidMixture Solution Suspension)
(documentation LiquidMixture EnglishLanguage "Any &%Mixture that satisfies two conditions,
viz. it is made up predominantly of things which are a &%Liquid and any
component other than &%Liquid in the &%Mixture is in the form of fine particles
which are suspended in the &%Liquid.")

(=>
   (instance ?MIX LiquidMixture)
   (exists (?PART)
      (and
         (part ?PART ?MIX)
         (attribute ?PART Liquid))))

(subclass Solution LiquidMixture)
(documentation Solution EnglishLanguage "A liquid mixture. The most abundant component in
a solution is called the solvent. Other components are called solutes.
A solution, though homogeneous, may nonetheless have variable composition.
Any amount of salt, up to a maximum limit, can be dissolved in a given
amount of water.")

(subclass Suspension LiquidMixture)
(documentation Suspension EnglishLanguage "A &%LiquidMixture where at least one of the
components of the &%Mixture is equally distributed throughout the &%Mixture
but is not dissolved in it.")

(subclass GasMixture Mixture)
(disjoint GasMixture LiquidMixture)
(documentation GasMixture EnglishLanguage "Any &%Mixture that satisfies two conditions,
viz. it is made up predominantly of things which are a &%Gas and any
component other than &%Gas in the &%Mixture is in the form of fine particles
which are suspended in the &%Gas.")

(=>
   (instance ?MIX GasMixture)
   (exists (?PART)
      (and
         (part ?PART ?MIX)
         (attribute ?PART Gas))))

(subclass Cloud GasMixture)
(documentation Cloud EnglishLanguage "Any &%GasMixture that is visible, e.g. &%Smoke
produced by a fire or clouds of water vapor in the sky.")

(=>
   (instance ?CLOUD Cloud)
   (capability Seeing patient ?CLOUD))

(subclass Smoke Cloud)
(documentation Smoke EnglishLanguage "A mixture of fine particles suspended in a gas that
is produced by &%Combustion.")

(=>
   (instance ?SMOKE Smoke)
   (exists (?BURNING)
      (and
         (instance ?BURNING Combustion)
         (result ?BURNING ?SMOKE))))

(subclass WaterCloud Cloud)
(documentation WaterCloud EnglishLanguage "Any &%Cloud that is composed primarily of water
vapor.")

(=>
   (instance ?CLOUD WaterCloud)
   (exists (?WATER)
      (and
         (instance ?WATER Water)
         (part ?WATER ?CLOUD))))

(=>
   (instance ?CLOUD WaterCloud)
   (forall (?PART)
      (=>
         (and
            (part ?PART ?CLOUD)
            (not (instance ?PART Water)))
         (exists (?WATER ?MEASURE1 ?MEASURE2)
            (and
               (instance ?WATER Water)
               (part ?WATER ?CLOUD)
               (measure ?WATER (MeasureFn ?MEASURE1 ?U))
               (measure ?PART (MeasureFn ?MEASURE2 ?U))
               (greaterThan ?MEASURE1 ?MEASURE2))))))

(subclass Air GasMixture)
(documentation Air EnglishLanguage "&%Air is the gaseous stuff that makes up the
atmosphere surrounding Earth.")

(=>
   (instance ?WIND Wind)
   (exists (?AIR)
      (and
         (patient ?WIND ?AIR)
         (instance ?AIR Air))))

(subclass BodySubstance Substance)
(documentation BodySubstance EnglishLanguage "Extracellular material and mixtures of
cells and extracellular material that are produced, excreted or accreted
by an &%Organism.  Included here are &%Substances such as saliva, dental
enamel, sweat, hormones, and gastric acid.")

(subclass AnimalSubstance BodySubstance)
(documentation AnimalSubstance EnglishLanguage "&%BodySubstances that are produced
exclusively by &%Animals.")

(=>
   (and
      (instance ?SUBSTANCE AnimalSubstance)
      (instance ?ANIMAL Organism)
      (part ?SUBSTANCE ?ANIMAL))
   (instance ?ANIMAL Animal))

(subclass PlantSubstance BodySubstance)
(documentation PlantSubstance EnglishLanguage "&%BodySubstances that are produced
exclusively by &%Plants.")

(=>
   (and
      (instance ?SUBSTANCE PlantSubstance)
      (instance ?PLANT Organism)
      (part ?SUBSTANCE ?PLANT))
   (instance ?PLANT Plant))

(subclass Hormone BodySubstance)
(subclass Hormone BiologicallyActiveSubstance)
(documentation Hormone EnglishLanguage "In &%Animals, a chemical secreted by an
endocrine gland whose products are released into the circulating fluid.
&%Plant hormones or synthetic hormones which are used only to alter or
control various physiologic processes, e.g., reproductive control agents,
are assigned to the &%Class &%BiologicallyActiveSubstance. &%Hormones act as
chemical messengers and regulate various physiologic processes such as
growth, reproduction, metabolism, etc.  They usually fall into two broad
categories, viz. steroid hormones and peptide hormones.")

(=>
   (instance ?HORMONE Hormone)
   (exists (?PROCESS ?GLAND)
      (and
         (instance ?GLAND Gland)
         (instrument ?PROCESS ?GLAND)
         (result ?PROCESS ?HORMONE))))

(subclass Blood BodySubstance)
(documentation Blood EnglishLanguage "A fluid present in &%Animals that transports
&%Nutrients to and waste products away from various &%BodyParts.")

(instance FoodForFn UnaryFunction)
(domainSubclass FoodForFn 1 Organism)
(rangeSubclass FoodForFn SelfConnectedObject)
(documentation FoodForFn EnglishLanguage "A &%Function that denotes
&%SelfConnectedObject containing &%Nutrients, such as carbohydrates,
proteins, and fats, that can be ingested by a the given class of living
&%Animal and metabolized into energy and body tissue.")

(=>
  (instance ?FOOD (FoodForFn ?A))
  (exists (?NUTRIENT)
    (and
      (instance ?NUTRIENT Nutrient)
      (part ?NUTRIENT ?FOOD))))

(documentation Food EnglishLanguage "Food that is fit for &%Humans.")
(equal Food (FoodForFn Human))
(subclass Food SelfConnectedObject)

(subclass Meat SelfConnectedObject)
(documentation Meat EnglishLanguage "Any food which was originally part of an
&%Animal and is not ingested by drinking, including eggs and animal
blood that is eaten as food.  Note that this class covers both raw
meat and meat that has been prepared in some way, e.g. by cooking.
Note too that preparations involving &%Meat and &%FruitOrVegetable
are classed directly under &%Food.")

(=>
   (instance ?MEAT Meat)
   (forall (?PART)
      (=>
         (part ?PART ?MEAT)
         (exists (?SUBPART ?TIME ?ANIMAL)
            (and
               (part ?SUBPART ?PART)
               (holdsDuring ?TIME
                 (and
                   (instance ?ANIMAL Animal)
                   (part ?SUBPART ?ANIMAL))))))))

;; KJN: Moving this to Mid-level-ontology.kif as it is causing dependency errors.
;;(subclass Beverage Substance)
;;(disjoint Meat Beverage)
;;(documentation Beverage EnglishLanguage "Any food that is ingested by &%Drinking.
;;Note that this class is disjoint &%Meat and &%FruitOrVegetable.")

;;(=>
;;   (instance ?BEV Beverage)
;;   (attribute ?BEV Liquid))

;;(=>
;;   (and
;;      (instance ?DRINK Drinking)
;;      (patient ?DRINK ?BEV))
;;   (instance ?BEV Beverage))

(subclass AnatomicalStructure OrganicObject)
(partition AnatomicalStructure BodyPart AbnormalAnatomicalStructure)
(partition AnatomicalStructure AnimalAnatomicalStructure PlantAnatomicalStructure)
(documentation AnatomicalStructure EnglishLanguage "A normal or pathological part
of the anatomy or structural organization of an &%Organism.  This
class covers &%BodyParts, as well as structures that are given off
by &%Organisms, e.g. &%ReproductiveBodies.")

(=>
    (instance ?ANAT AnatomicalStructure)
    (exists (?ORGANISM ?TIME)
        (and
            (instance ?ORGANISM Organism)
            (temporalPart ?TIME (WhenFn ?ORGANISM))
            (holdsDuring ?TIME (part ?ANAT ?ORGANISM)))))

(=>
    (instance ?PART AnatomicalStructure)
    (exists (?CELL)
        (and
            (instance ?CELL Cell)
            (part ?CELL ?PART))))

(subclass AbnormalAnatomicalStructure AnatomicalStructure)
(documentation AbnormalAnatomicalStructure EnglishLanguage "Any &%AnatomicalStructure
which is not normally found in the &%Organism of which it is a part, i.e. it is
the result of a &%PathologicProcess.  This class covers tumors, birth marks,
goiters, etc.")

(=>
   (instance ?STRUCTURE AbnormalAnatomicalStructure)
   (exists (?PROC)
      (and
         (instance ?PROC PathologicProcess)
         (result ?PROC ?STRUCTURE))))

(subclass BodyPart AnatomicalStructure)
(documentation BodyPart EnglishLanguage "A collection of &%Cells and &%Tissues which
are localized to a specific area of an &%Organism and which are not
pathological. The instances of this &%Class range from gross structures
to small components of complex &%Organs.")

(=>
    (instance ?PART BodyPart)
    (exists (?ORGANISM ?TIME)
        (and
            (instance ?ORGANISM Organism)
            (temporalPart ?TIME (WhenFn ?ORGANISM))
            (holdsDuring ?TIME (component ?PART ?ORGANISM)))))

(=>
   (instance ?PART BodyPart)
   (exists (?PROC)
      (and
         (instance ?PROC PhysiologicProcess)
         (result ?PROC ?PART))))

(instance BodySideFn BinaryFunction)
(domain BodySideFn 1 AntiSymmetricPositionalAttribute)
(domainSubclass BodySideFn 2 BodyPart)
(rangeSubclass BodySideFn BodyPart)
(documentation BodySideFn EnglishLanguage "A &%Function that takes a &%BodyPart that normally exists in
pairs and returns the part that is on the given side of the body, for example (BodyPartFn Right Lung) or
(BodyPartFn Left Arm).")
(format EnglishLanguage BodySideFn "the %1 %2")

(=>
  (and
    (instance ?A Animal)
    (instance ?P
      (BodySideFn ?S ?BPC))
    (contraryAttribute ?S ?SO)
    (attribute ?A Healthy))
  (exists (?PO)
    (and
      (instance ?PO
        (BodySideFn ?SO ?BPC))
      (orientation ?P ?PO ?S))))

(=>
  (instance ?X (BodySideFn ?S ?P))
  (instance ?X ?P))

(subclass AnimalAnatomicalStructure AnatomicalStructure)
(documentation AnimalAnatomicalStructure EnglishLanguage "&%AnatomicalStructures that
are possessed exclusively by &%Animals.")

(=>
   (and
      (instance ?STRUCTURE AnimalAnatomicalStructure)
      (instance ?ANIMAL Organism)
      (part ?STRUCTURE ?ANIMAL))
   (instance ?ANIMAL Animal))

(subclass PlantAnatomicalStructure AnatomicalStructure)
(documentation PlantAnatomicalStructure EnglishLanguage "&%AnatomicalStructures that
are possessed exclusively by &%Plants.")

(=>
   (and
      (instance ?STRUCTURE PlantAnatomicalStructure)
      (instance ?PLANT Organism)
      (part ?STRUCTURE ?PLANT))
   (instance ?PLANT Plant))

(subclass ReproductiveBody BodyPart)
(documentation ReproductiveBody EnglishLanguage "Reproductive structure of &%Organisms.
Consists of an &%Embryonic &%Object and a nutritive/protective envelope.
Note that this class includes seeds, spores, and &%FruitOrVegetables, as
well as the eggs produced by &%Animals.")

(subclass Egg ReproductiveBody)
(subclass Egg AnimalAnatomicalStructure)
(documentation Egg EnglishLanguage "The fertilized or unfertilized female
&%ReproductiveBody of an &%Animal.  This includes &%Bird and &%Reptile eggs, as well as
mammalian ova.")

;; KJN: This is moved from Economy.kif.  Seed being subclassed from FruitOrVegetable
;; seems incorrect, though, as FruitOrVegetable talks about a ripened Reproductive
;; Body (although no formal rule states it) while a seed may not necessarily be so.
;; commenting it out for now.
;;(subclass Seed FruitOrVegetable)
(subclass Seed ReproductiveBody)
(subclass Seed PlantAnatomicalStructure)
(documentation Seed EnglishLanguage "The fertilized or unfertilized female
&%ReproductiveBody of a &%FloweringPlant.")

(=>
   (instance ?SEED Seed)
   (exists (?PLANT ?TIME)
      (and
         (instance ?PLANT FloweringPlant)
         (holdsDuring ?TIME (part ?SEED ?PLANT)))))

(subclass Pollen ReproductiveBody)
(subclass Pollen PlantAnatomicalStructure)
(documentation Pollen EnglishLanguage "A powder produced by &%FloweringPlants that
contains male gametes and is capable of fertilizing the seeds of &%FloweringPlants of the
same species.")

(subclass FruitOrVegetable PlantAnatomicalStructure)
(subclass FruitOrVegetable ReproductiveBody)
(documentation FruitOrVegetable EnglishLanguage "Any fruit or vegetable, i.e. a
ripened &%ReproductiveBody of a &%Plant.  Note that &%FruitOrVegetable
is not a subclass of &%Food, because some fruits, e.g. poisonous
berries, are not edible.")

(subclass Spore ReproductiveBody)
(subclass Spore PlantAnatomicalStructure)
(documentation Spore EnglishLanguage "Any &%ReproductiveBody of a &%NonFloweringPlant.")

(=>
   (instance ?SPORE Spore)
   (exists (?PLANT ?TIME)
      (and
         (instance ?PLANT NonFloweringPlant)
         (holdsDuring ?TIME (part ?SPORE ?PLANT)))))

(subclass BodyCovering BodyPart)
(documentation BodyCovering EnglishLanguage "Any &%BodyPart which is a covering of another
&%BodyPart or of an entire &%Organism.  This would include the rinds of
&%FruitOrVegetables and the skins of &%Animals.")

(=>
   (instance ?COVER BodyCovering)
   (exists (?BODY)
      (and
         (superficialPart ?COVER ?BODY)
         (or
            (instance ?BODY Organism)
            (instance ?BODY BodyPart)))))

(subclass BodyJunction BodyPart)
(documentation BodyJunction EnglishLanguage "The place where two &%BodyParts
meet or connect.")

(=>
    (instance ?JUNCT BodyJunction)
    (exists (?OBJ1 ?OBJ2)
        (and
            (instance ?OBJ1 BodyPart)
            (instance ?OBJ2 BodyPart)
            (connects ?JUNCT ?OBJ1 ?OBJ2))))

(subclass BodyCavity BodyPart)
(documentation BodyCavity EnglishLanguage "Any &%BodyPart which contains an unfilled
space, e.g. &%BodyVessels, the atria and ventricles of the heart, the lungs, etc.")

(subclass BodyVessel BodyCavity)
(documentation BodyVessel EnglishLanguage "Any tube-like structure which occurs naturally
in an &%Organism and through which a &%BodySubstance can circulate.")

(subclass Cell BodyPart)
(documentation Cell EnglishLanguage "The fundamental structural and functional unit of
living &%Organisms.")

(subclass Organ BodyPart)
(documentation Organ EnglishLanguage "A somewhat independent &%BodyPart that performs a
specialized function.  Note that this functional definition covers bodily
systems, e.g. the digestive system or the central nervous system.")

(=>
   (instance ?ORGAN Organ)
   (exists (?PURP)
      (hasPurpose ?ORGAN ?PURP)))

(subclass Gland Organ)
(documentation Gland EnglishLanguage "An &%Organ that removes &%Substances from the
&%Blood,alters them in some way, and then releases them.")

(subclass Tissue BodySubstance)
(disjointDecomposition Tissue ConnectiveTissue MuscleTissue NervousTissue EpithelialTissue)
;;(disjointDecomposition Tissue BoneTissue Muscle FatTissue)
(documentation Tissue EnglishLanguage "An aggregation of similarly specialized &%Cells
and the associated intercellular substance. &%Tissues are relatively
non-localized in comparison to &%BodyParts, &%Organs or &%Organ components.
The main features of &%Tissues are self-connectivity (see
&%SelfConnectedObject) and being a homogeneous mass (all parts in the
same granularity are instances of &%Tissue as well).")

(=>
  (instance ?STUFF Tissue)
  (exists (?PART)
    (and
      (instance ?PART Cell)
      (part ?PART ?STUFF))))

(=>
  (instance ?STUFF Tissue)
  (exists (?ORGANISM)
    (and
      (instance ?ORGANISM Organism)
      (part ?STUFF ?ORGANISM))))


(subclass ConnectiveTissue Tissue)
(documentation ConnectiveTissue EnglishLanguage "Connective tissue is
one of the four basic types of animal tissue, along with
&%EpithelialTissue, &%MuscleTissue, and &%NervousTissue. It develops
from the mesoderm. Connective tissue is found in between other tissues
everywhere in the body, including the nervous system. In the central
nervous system, the three outer membranes (the meninges) that envelop
the brain and spinal cord are composed of connective tissue. All
connective tissue consists of three main components: fibers (elastic
and collagen fibers), ground substance and cells. Not all authorities
include &%Blood or lymph as connective tissue because they lack the
fiber component. All are immersed in the body water. The cells of
connective tissue include fibroblasts, adipocytes, macrophages, mast
cells and leucocytes.[from Wikipedia]")
(externalImage ConnectiveTissue "https://en.wikipedia.org/wiki/Connective_tissue#/media/File:Hist.Technik_(2).jpg")
(termFormat EnglishLanguage ConnectiveTissue "connective tissue")

(=>
  (and
    (instance ?T1 ?T1C)
    (instance ?T2 ?T2C)
    (not
      (equal ?T1C ?T2C))
    (not
      (subclass ?T1C ?T2C))
    (not
      (subclass ?T2C ?T1C))
    (orientation ?T1 ?T2 Adjacent))
  (modalAttribute
    (exists (?CT)
      (and
        (instance ?CT ConnectiveTissue)
        (between ?T1 ?CT ?T2)))
    Likely))
    
(subclass BoneTissue ConnectiveTissue)
(subclass BoneTissue AnimalSubstance)
(documentation BoneTissue EnglishLanguage "Rigid &%Tissue composed largely of calcium that makes
up the skeleton of &%Vertebrates.  Note that this &%Class also includes teeth.")

(=>
  (instance ?BONE BoneTissue)
  (exists (?VERT)
    (and
      (instance ?VERT Vertebrate)
      (part ?BONE ?VERT))))

(subclass Bone BodyPart)
(documentation BoneTissue EnglishLanguage "Parts of the body that are made up of &%BoneTissue.")
(=>
  (instance ?B Bone)
  (material BoneTissue ?B))

(subclass EpithelialTissue Tissue)

(documentation EpithelialTissue EnglishLanguage "Epithelium
is one of the four basic types of animal &%Tissue,
along with &%ConnectiveTissue, &%MuscleTissue and &%NervousTissue. It is
a thin, continuous, protective layer of cells. Epithelial tissues line
the outer surfaces of organs and &%BloodVessels throughout the body, as
well as the inner surfaces of cavities in many internal &%Organs. An
example is the epidermis, the outermost layer of the &%Skin. [from
Wikipedia]")
(termFormat EnglishLanguage EpithelialTissue "epithelial tissue")

(=>
  (instance ?G Gland)
  (material EpithelialTissue ?G))
    
(subclass MuscleTissue Tissue)
(subclass NervousTissue Tissue)
(subclass EpithelialTissue Tissue)
(subclass MuscleTissue AnimalSubstance)
(documentation MuscleTissue EnglishLanguage "Nonrigid &%Tissue appearing only in &%Animals and
composed largely of contractile cells.")

(subclass Muscle BodyPart)

(=>
  (instance ?M Muscle)
  (material MuscleTissue Muscle))
   
(subclass FatTissue ConnectiveTissue)
(documentation FatTissue EnglishLanguage "Nonrigid &%Tissue that is composed largely of
fat cells.")

(subclass NervousTissue Tissue)
(documentation NervousTissue EnglishLanguage "The type of &%Tissue that makes
up &%NerveCells.")
(termFormat EnglishLanguage NervousTissue "nervous tissue")

(=>
  (instance ?NC NerveCell)
  (material NervousTissue ?NC))
  
(subclass Noun Word)
(partition Word Noun Verb Adjective Adverb ParticleWord)
(documentation Noun EnglishLanguage "One of the parts of speech.  The &%Class of &%Words
that conventionally denote &%Objects.")

(subclass Verb Word)
(documentation Verb EnglishLanguage "One of the parts of speech.  The &%Class of &%Words
that conventionally denote &%Processes.")

(subclass Adjective Word)
(documentation Adjective EnglishLanguage "One of the parts of speech.  The &%Class of
&%Words that conventionally denote &%Attributes of &%Objects.")

(subclass Adverb Word)
(documentation Adverb EnglishLanguage "One of the parts of speech.  The &%Class of &%Words
that conventionally denote &%Attributes of &%Processes.")

(subclass ParticleWord Word)
(documentation ParticleWord EnglishLanguage "An umbrella &%Class for any &%Word that does
not fit into the other subclasses of &%Word.  A &%ParticleWord is generally a small
term that serves a grammatical or logical function, e.g. 'and', 'of',
'since', etc.  At some point, this class might be broken up into the
subclasses 'Connective', 'Preposition', etc.  Note that the class &%ParticleWord
includes both personal and possessive pronouns, e.g. 'she', 'hers', 'it', 'its',
etc.")

(subclass Morpheme LinguisticExpression)
(documentation Morpheme EnglishLanguage "Part of a &%Word which cannot be subdivided
and which expresses a meaning.")

(=>
   (instance ?MORPH Morpheme)
   (not
      (exists (?OTHERMORPH)
         (and
            (instance ?OTHERMORPH Morpheme)
            (part ?OTHERMORPH ?MORPH)
            (not (equal ?OTHERMORPH ?MORPH))))))

(=>
   (instance ?MORPH Morpheme)
   (exists (?WORD)
         (and
            (instance ?WORD Word)
            (part ?MORPH ?WORD))))

(=>
    (instance ?WORD Word)
    (exists (?PART)
        (and
            (part ?PART ?WORD)
            (instance ?PART Morpheme))))

(subclass Phrase LinguisticExpression)
(disjointDecomposition Phrase VerbPhrase NounPhrase PrepositionalPhrase)
(documentation Phrase EnglishLanguage "A set of &%Words in a &%Language which form a unit,
i.e. express a meaning in the &%Language.")

(=>
  (instance ?PHRASE Phrase)
  (exists (?PART1 ?PART2)
    (and
      (part ?PART1 ?PHRASE)
      (part ?PART2 ?PHRASE)
      (instance ?PART1 Word)
      (instance ?PART2 Word)
      (not (equal ?PART1 ?PART2)))))

(subclass VerbPhrase Phrase)
(documentation VerbPhrase EnglishLanguage "A &%Phrase that has the same function as a
&%Verb.")

(=>
   (instance ?PHRASE VerbPhrase)
   (exists (?VERB)
      (and
         (instance ?VERB Verb)
         (part ?VERB ?PHRASE))))

(subclass NounPhrase Phrase)
(disjoint NounPhrase VerbPhrase)
(documentation NounPhrase EnglishLanguage "A &%Phrase that has the same function as a
&%Noun.")

(=>
    (instance ?SENTENCE Sentence)
    (exists (?PHRASE1 ?PHRASE2)
        (and
           (instance ?PHRASE1 NounPhrase)
           (instance ?PHRASE2 VerbPhrase)
           (part ?PHRASE1 ?SENTENCE)
           (part ?PHRASE2 ?SENTENCE))))

(=>
   (instance ?PHRASE NounPhrase)
   (exists (?NOUN)
      (and
         (instance ?NOUN Noun)
         (part ?NOUN ?PHRASE))))

(subclass PrepositionalPhrase Phrase)
(documentation PrepositionalPhrase EnglishLanguage "A &%Phrase that begins with a
preposition and that functions as an &%Adjective or an &%Adverb.")

(=>
   (instance ?PHRASE PrepositionalPhrase)
   (exists (?PREP)
      (and
         (instance ?PREP ParticleWord)
         (part ?PREP ?PHRASE))))

(subclass Text LinguisticExpression)
(subclass Text ContentBearingObject)
(subclass Text Artifact)
(documentation Text EnglishLanguage "A &%LinguisticExpression or set of
&%LinguisticExpressions that perform a specific function related
to &%Communication, e.g. express a discourse about a particular
topic, and that are inscribed in a &%CorpuscularObject by &%Humans.")

(=>
    (instance ?TEXT Text)
    (exists (?PART)
        (and
            (part ?PART ?TEXT)
            (instance ?PART LinguisticExpression))))

(=>
   (instance ?TEXT Text)
   (exists (?WRITE)
      (and
         (instance ?WRITE Writing)
         (result ?WRITE ?TEXT))))

(subclass FactualText Text)
(disjoint FactualText FictionalText)
(documentation FactualText EnglishLanguage "The class of &%Texts that purport to
reveal facts about the world.  Such texts are often known as information
or as non-fiction.  Note that something can be an instance of
&%FactualText, even if it is wholly inaccurate.  Whether something
is a &%FactualText is determined by the beliefs of the agent creating
the text.")

;; NS: delete.  The 2nd argument to &%authors must be a &%Class.
;; (=>
;;    (and
;;       (instance ?TEXT FactualText)
;;       (authors ?AGENT ?TEXT)
;;       (subsumesContentInstance ?TEXT ?CONTENT)
;;       (instance ?CONTENT Formula))
;;    (believes ?AGENT ?CONTENT))

;; NS: add.
(=>
   (and
      (instance ?TEXT ?CLASS)
      (subclass ?CLASS FactualText)
      (authors ?AGENT ?CLASS)
      (subsumesContentInstance ?TEXT ?CONTENT)
      (instance ?CONTENT Formula))
   (believes ?AGENT ?CONTENT))

(subclass FictionalText Text)
(documentation FictionalText EnglishLanguage "The class of &%Texts that purport to
be largely a product of the author's imagination, i.e. the author
does not believe that most of the content conveyed by the text is
an accurate depiction of the real world.  Note that something can
be an instance of &%FictionalText, even if it is completely true.
Whether something is a &%FictionalText is determined by the beliefs
of the agent creating the text.")

;; NS: delete.  Wrong use of &%authors.  Also, the rule is supposed to
;; be about &%FictionalText, not &%FactualText.
;; (=>
;;    (and
;;       (instance ?TEXT FactualText)
;;       (authors ?AGENT ?TEXT))
;;    (exists (?CONTENT)
;;       (and
;;          (subsumesContentInstance ?TEXT ?CONTENT)
;;          (instance ?CONTENT Formula)
;;          (not (believes ?AGENT ?CONTENT)))))

;; NS: add.
(=>
   (and
      (instance ?TEXT ?CLASS)
      (subclass ?CLASS FictionalText)
      (authors ?AGENT ?CLASS))
   (exists (?CONTENT)
      (and
         (subsumesContentInstance ?TEXT ?CONTENT)
         (instance ?CONTENT Formula)
         (not (believes ?AGENT ?CONTENT)))))

(subclass Sentence LinguisticExpression)
(documentation Sentence EnglishLanguage "A syntactically well-formed formula of a
&%Language.  It includes, at minimum, a predicate and a subject (which
may be explicit or implicit), and it expresses a &%Proposition.")

(=>
    (instance ?SENT Sentence)
    (exists (?PROP)
        (and
            (instance ?PROP Proposition)
            (containsInformation ?SENT ?PROP))))

(instance authors BinaryPredicate)
(instance authors AsymmetricRelation)
(domain authors 1 Agent)
(domainSubclass authors 2 ContentBearingObject)

;; NS: edit.
(documentation authors EnglishLanguage "(&%authors ?AGENT ?TEXTCLASS)
means that ?AGENT is creatively responsible for the content of all
instances of ?TEXTCLASS.  For example, Agatha Christie is author of
Murder_on_the_Orient_Express.")

;; NS: edit.
(=>
     (authors ?AGENT ?TEXTCLASS)
     (exists (?PROCESS ?INSTANCE)
          (and
               (agent ?PROCESS ?AGENT)
               (instance ?INSTANCE ?TEXTCLASS)
               (result ?PROCESS ?INSTANCE))))

(instance editor BinaryPredicate)
(instance editor AsymmetricRelation)
(domain editor 1 Agent)
(domainSubclass editor 2 Text)

;; NS: edit.
(documentation editor EnglishLanguage "(&%editor ?AGENT ?TEXTCLASS)
means that ?AGENT is an editor of the content contained (or realized)
in all instances of ?TEXTCLASS.")

(instance publishes BinaryPredicate)
(instance publishes AsymmetricRelation)
(domain publishes 1 Organization)
(domainSubclass publishes 2 Text)

;; NS: edit.
(documentation publishes EnglishLanguage "(&%publishes ?ORG
?TEXTCLASS) means that ?ORG publishes all instances of ?TEXTCLASS.
For example, Bantam Books publishes Agatha Christie's
Murder_on_the_Orient_Express.")

;; NS: edit.
(=>
  (and
    (publishes ?ORG ?TEXTCLASS)
    (instance ?INST ?TEXTCLASS))
  (exists (?PUB)
    (and
      (instance ?PUB Publication)
      (agent ?PUB ?ORG)
      (patient ?PUB ?INST))))

(instance EditionFn BinaryFunction)
(instance EditionFn PartialValuedRelation)
(domainSubclass EditionFn 1 ContentBearingObject)
(domain EditionFn 2 PositiveInteger)
(rangeSubclass EditionFn ContentBearingObject)
(documentation EditionFn EnglishLanguage "A &%BinaryFunction that maps a type of text
(e.g. Agatha Christie's Murder_on_the_Orient_Express) and a number
to the edition of the text type corresponding to the number.")

(=>
  (and
    (equal
      (EditionFn ?TEXT ?INT1) ?EDITION1)
    (equal
      (EditionFn ?TEXT ?INT2) ?EDITION2)
    (greaterThan ?INT2 ?INT1)
    (instance ?PUB1 Publication)
    (instance ?PUB2 Publication)
    (instance ?CBO1 ?EDITION1)
    (instance ?CBO2 ?EDITION2)
    (patient ?PUB1 ?CBO1)
    (patient ?PUB2 ?CBO2)
    (date ?PUB1 ?DATE1)
    (date ?PUB2 ?DATE2))
  (before
    (EndFn ?DATE1)
    (EndFn ?DATE2)))

(=>
   (equal (EditionFn ?TEXT1 ?NUMBER) ?TEXT2)
   (subsumesContentClass ?TEXT1 ?TEXT2))

;; KJN: Moving to MILO
;;(instance SeriesVolumeFn BinaryFunction)
;;(instance SeriesVolumeFn PartialValuedRelation)
;;(domainSubclass SeriesVolumeFn 1 Series)
;;(domain SeriesVolumeFn 2 PositiveInteger)
;;(rangeSubclass SeriesVolumeFn Text)
;;(documentation SeriesVolumeFn EnglishLanguage "A &%BinaryFunction that maps a type of &%Series
;;(e.g. the Encyclopedia_Britannica or the Popular_Mechanics periodical) and a
;;number to the volumes of the text type designated by the number.")

;;(=>
;;   (and
;;      (subclass ?TEXT Periodical)
;;      (equal (SeriesVolumeFn ?TEXT ?INT1) ?VOLUME1)
;;      (equal (SeriesVolumeFn ?TEXT ?INT2) ?VOLUME2)
;;      (greaterThan ?INT2 ?INT1)
;;      (instance ?PUB1 Publication)
;;      (instance ?PUB2 Publication)
;;      (instance ?CBO1 ?VOLUME1)
;;      (instance ?CBO2 ?VOLUME2)
;;      (patient ?PUB1 ?CBO1)
;;      (patient ?PUB2 ?CBO2)
;;      (date ?PUB1 ?DATE1)
;;      (date ?PUB2 ?DATE2))
;;   (before (EndFn ?DATE1) (EndFn ?DATE2)))

;;(=>
;;   (equal (SeriesVolumeFn ?SERIES ?NUMBER) ?VOLUME)
;;   (subsumesContentClass ?SERIES ?VOLUME))

;; KJN: Moving to MILO
;;(instance PeriodicalIssueFn BinaryFunction)
;;(instance PeriodicalIssueFn PartialValuedRelation)
;;(domainSubclass PeriodicalIssueFn 1 Periodical)
;;(domain PeriodicalIssueFn 2 PositiveInteger)
;;(rangeSubclass PeriodicalIssueFn Periodical)
;;(documentation PeriodicalIssueFn EnglishLanguage "A &%BinaryFunction that maps a subclass of
;;&%Periodical and a number to all of the issues of the &%Periodical corresponding
;;to the number.")

;;(=>
;;   (equal (PeriodicalIssueFn ?PERIODICAL ?NUMBER) ?ISSUE)
;;   (subsumesContentClass ?PERIODICAL ?ISSUE))

;; KJN: Moving to MILO
;;(subclass Book Text)
;;(documentation Book EnglishLanguage "A &%Text that has pages and is bound.")

(subclass Summary Text)
(documentation Summary EnglishLanguage "A short &%Text that is a summary of another,
longer &%Text.")

(=>
   (instance ?TEXT Summary)
   (exists (?TEXT2)
      (and
         (instance ?TEXT2 Text)
         (subsumesContentInstance ?TEXT2 ?TEXT))))

;; KJN: Moving to MILO
;;(subclass Series Text)
;;(documentation Series EnglishLanguage "A &%Text consisting of multiple self-contained units.
;;Some examples are an encyclopedia containing a couple dozen volumes, a television
;;series made up of many episodes, a film serial, etc.")

;;(=>
;;   (instance ?SERIES Series)
;;   (exists (?BOOK1 ?BOOK2)
;;      (and
;;         (instance ?BOOK1 Book)
;;         (instance ?BOOK2 Book)
;;         (subsumesContentInstance ?SERIES ?BOOK1)
;;         (subsumesContentInstance ?SERIES ?BOOK2)
;;         (not (equal ?BOOK1 ?BOOK2)))))

;;(subclass Periodical Series)
;;(documentation Periodical EnglishLanguage "A &%Series whose elements are published separately
;;and on a periodic basis.")

;;(subclass Article Text)
;;(disjoint Article Book)
;;(documentation Article EnglishLanguage "A relatively short &%Text that either is unbound or is
;;bound with other &%Articles in a &%Book.")

;;(=>
;;   (and
;;      (instance ?ARTICLE1 Article)
;;      (instance ?BOOK Book)
;;      (subsumesContentInstance ?BOOK ?ARTICLE1))
;;   (exists (?ARTICLE2)
;;      (and
;;         (instance ?ARTICLE2 Article)
;;         (not (equal ?ARTICLE2 ?ARTICLE1))
;;         (subsumesContentInstance ?BOOK ?ARTICLE2))))

(subclass Certificate Text)
(documentation Certificate EnglishLanguage "A &%Text that confers a right or obligation
on the holder of the &%Certificate.  Note that the right or obligation
need not be a legal one, as in the case of an academic diploma that grants
certain privileges in the professional world.")

(=>
   (instance ?DOC Certificate)
   (exists (?PROP ?NORM)
      (or
         (confersNorm ?DOC ?PROP ?NORM)
         (deprivesNorm ?DOC ?PROP ?NORM))))

(subclass FinancialInstrument Certificate)
(documentation FinancialInstrument EnglishLanguage "A document having monetary value
or recording a monetary transaction")

(subclass Currency FinancialInstrument)
(documentation Currency EnglishLanguage "Any element of the official currency of some
&%Nation.  This covers both &%CurrencyBills and &%CurrencyCoins.")

(=>
   (instance ?CURRENCY Currency)
   (exists (?MEASURE)
      (monetaryValue ?CURRENCY ?MEASURE)))

(subclass Patent Certificate)
(documentation Patent EnglishLanguage "A &%Certificate that expresses the content of an
invention that has been accorded legal protection by a governemental
entity.")

(subclass Molecule CompoundSubstance)
(documentation Molecule EnglishLanguage "A molecule is the smallest unit of matter of a
&%CompoundSubstance that retains all the physical and chemical properties
of that substance, e.g., Ne, H2, H2O.  A molecule is two or more &%Atoms
linked by a chemical bond.")

(=>
   (instance ?MOLE Molecule)
   (exists (?ATOM1 ?ATOM2)
      (and
         (instance ?ATOM1 Atom)
         (instance ?ATOM2 Atom)
         (part ?ATOM1 ?MOLE)
         (part ?ATOM2 ?MOLE)
         (not
            (equal ?ATOM1 ?ATOM2)))))

(subclass Artifact Object)
(documentation Artifact EnglishLanguage "An &%Object that is the product of a
&%Making.")

(=>
   (instance ?ARTIFACT Artifact)
   (exists (?MAKING)
      (and
         (instance ?MAKING Making)
         (result ?MAKING ?ARTIFACT))))

(subclass Product Artifact)
(documentation Product EnglishLanguage "An &%Artifact that is produced by &%Manufacture.")

(=>
   (instance ?PRODUCT Product)
   (exists (?MANUFACTURE)
      (and
         (instance ?MANUFACTURE Manufacture)
         (result ?MANUFACTURE ?PRODUCT))))

(instance version BinaryPredicate)
(instance version AsymmetricRelation)
(instance version TransitiveRelation)
(domainSubclass version 1 Artifact)
(domainSubclass version 2 Artifact)
(documentation version EnglishLanguage "Some &%Artifacts have a life cycle with discrete
stages or versions.  (&%version ARTIFACT1 ARTIFACT2) means that ARTIFACT1
is a version of ARTIFACT2.  Note that this &%Predicate relates subclasses of
&%Artifact and not instances.")

(=>
    (version ?ARTIFACT1 ?ARTIFACT2)
    (subclass ?ARTIFACT1 ?ARTIFACT2))

;; The following part of the ontology will eventually encompass all
;; artifacts.  For the time being, it is mostly restricted to the content
;; of the Ontolingua ontology component-assemblies, which covers the types
;; of elements used to construct engineering systems.

(subclass StationaryArtifact Artifact)
(documentation StationaryArtifact EnglishLanguage "A &%StationaryArtifact is an &%Artifact
that has a fixed spatial location.  Most instances of this &%Class are
architectural works, e.g. the Eiffel Tower, the Great Pyramids, office towers,
single-family houses, etc.")

(=>
  (instance ?ARTIFACT StationaryArtifact)
  (exists (?PLACE)
    (and
      (holdsDuring (WhenFn ?ARTIFACT) (located ?ARTIFACT ?PLACE))
      (not
        (exists (?P2)
          (and
            (holdsDuring (WhenFn ?ARTIFACT) (located ?ARTIFACT ?P2))
            (not
              (equal ?PLACE ?P2))))))))

(subclass Building StationaryArtifact)
(documentation Building EnglishLanguage "The Class of &%StationaryArtifacts which are
intended to house &%Humans and their activities.")

(=>
   (instance ?BUILDING Building)
   (exists (?HUMAN)
      (and
         (instance ?HUMAN Human)
         (or
            (inhabits ?HUMAN ?BUILDING)
            (exists (?ACT)
               (and
                  (agent ?ACT ?HUMAN)
                  (located ?ACT ?BUILDING)))))))

(subclass Room StationaryArtifact)
(disjoint Room Building)
(documentation Room EnglishLanguage "A &%properPart of a &%Building which is separated
from the exterior of the &%Building and/or other &%Rooms of the &%Building by walls.
Some &%Rooms may have a specific purpose, e.g. sleeping, bathing, cooking,
entertainment, etc.")

(=>
   (instance ?ROOM Room)
   (exists (?BUILD)
      (and
         (instance ?BUILD Building)
         (properPart ?ROOM ?BUILD))))

(subclass House ResidentialBuilding)
(subclass House SingleFamilyResidence)
(documentation House EnglishLanguage "A &%ResidentialBuilding which is intended to be
inhabited by members of the same &%SocialUnit.  &%Houses are distinguished
from temporary housing like hotels and multi-family dwellings like condominium
and apartment buildings.")

(subclass Residence StationaryArtifact)
(disjointDecomposition Residence PermanentResidence TemporaryResidence)
(documentation Residence EnglishLanguage "A &%Building or part of a &%Building which
provides some accomodation for sleeping.")

(=>
   (instance ?RESIDENCE Residence)
   (or
      (instance ?RESIDENCE House)
      (exists (?BUILDING)
         (and
            (instance ?BUILDING ResidentialBuilding)
            (part ?RESIDENCE ?BUILDING)))))

(subclass PermanentResidence Residence)
(documentation PermanentResidence EnglishLanguage "A &%Residence where people live, i.e.
where people have a &%home.")

(=>
   (instance ?RESIDENCE PermanentResidence)
   (exists (?PERSON)
      (home ?PERSON ?RESIDENCE)))

(subclass TemporaryResidence Residence)
(documentation TemporaryResidence EnglishLanguage "A &%Residence which is strictly
temporary, i.e. where no one makes his/her &%home.")

(subclass ResidentialBuilding Building)
(subclass ResidentialBuilding Residence)
(documentation ResidentialBuilding EnglishLanguage "A &%Building which provides some
accommodation for sleeping.  Note that this class does not cover just
permanent residences, e.g. &%Houses and condominium and apartment buildings,
but also temporary residences, e.g. hotels and dormitories.
&%ResidentialBuildings are also distinguished from &%CommercialBuildings,
which are intended to serve an organizational rather than a residential
function.")

;; Moved hotel definition to Hotel.kif.
;;(subclass Hotel ResidentialBuilding)
;;(subclass Hotel TemporaryResidence)
;;(subclass Hotel CommercialAgent)
;;(documentation Hotel EnglishLanguage "A &%ResidentialBuilding which provides temporary
;;accommodations to guests in exchange for money.")

(subclass SingleFamilyResidence PermanentResidence)
(documentation SingleFamilyResidence EnglishLanguage "A &%PermanentResidence which is
intended to be the &%home of a single &%SocialUnit.  This class covers
&%Houses, &%ApartmentUnits, and &%CondominiumUnits.")

(=>
  (instance ?RESIDENCE SingleFamilyResidence)
  (hasPurpose ?RESIDENCE
  (forall (?AGENT1 ?AGENT2)
    (=>
      (and
        (home ?AGENT1 ?RESIDENCE)
        (home ?AGENT2 ?RESIDENCE))
      (exists (?UNIT)
        (and
          (instance ?UNIT SocialUnit)
          (member ?AGENT1 ?UNIT)
          (member ?AGENT2 ?UNIT)))))))

(subclass ArtWork Artifact)
(documentation ArtWork EnglishLanguage "&%Artifacts that are created primarily for
aesthetic appreciation.  Note that this &%Class does not include
most examples of architecture, which belong under &%StationaryArtifact.")

(=>
  (instance ?AW ArtWork)
  (hasPurpose ?AW
    (exists (?H ?P)
      (and
        (instance ?H Human)
        (instance ?P Perception)
        (experiencer ?P ?H)
        (patient ?P ?AW)))))

(=>
  (instance ?AW ArtWork)
  (hasPurpose ?AW
    (exists (?H)
      (and
        (instance ?H Human)
        (desires ?H
          (exists (?P)
            (and
              (instance ?P Perception)
              (experiencer ?P ?H)
              (patient ?P ?AW))))))))

(subclass RepresentationalArtWork ArtWork)
(subclass RepresentationalArtWork Icon)
(documentation RepresentationalArtWork EnglishLanguage "Any &%ArtWork that &%represents
something &%Physical.")

(=>
  (instance ?RA RepresentationalArtWork)
  (exists (?P)
    (and
      (instance ?P Physical)
      (represents ?RA ?P))))

(subclass Fabric Artifact)
(disjoint Fabric StationaryArtifact)
(documentation Fabric EnglishLanguage "&%Artifacts that are created by weaving together
natural or synthetic fibers or by treating the skins of certain sorts of
&%Animals.  Note that this &%Class includes articles that are created by
stitching together various types of fabrics, e.g. bedspreads.  On the other
hand, &%Clothing is not a &%subclass of &%Fabric, because many clothing items
contain elements that are not fabrics.")

(subclass WearableItem Artifact)
(documentation WearableItem EnglishLanguage "&%WearableItem is the subclass of
&%Artifacts that are made to be worn on the body.")

(=>
  (instance ?WI WearableItem)
  (hasPurpose ?WI
    (exists (?H)
      (and
        (instance ?H Human)
        (wears ?H ?WI)))))

(subclass Clothing WearableItem)
(disjoint Clothing StationaryArtifact)
(documentation Clothing EnglishLanguage "&%Artifact made out of fabrics and possibly other
materials that are used to cover the bodies of &%Humans.")

(=>
  (instance ?CLOTHING Clothing)
  (modalAttribute
    (exists (?FABRIC)
      (and
        (instance ?FABRIC Fabric)
        (part ?FABRIC ?CLOTHING)))
    Likely))

(=>
  (instance ?CLOTHING Clothing)
  (hasPurpose ?CLOTHING
    (exists (?H ?P)
      (and
        (instance ?H Animal)
        (part ?P ?H)
        (covers ?CLOTHING ?P)))))

(instance wears BinaryPredicate)
(domain wears 1 Animal)
(domain wears 2 WearableItem)
(documentation wears EnglishLanguage "(&%wears ?AGENT ?WI) means that ?AGENT is wearing
the &%WearableItem item ?WI.")

(=>
   (wears ?AGENT ?WI)
   (located ?WI ?AGENT))

(=>
  (and
    (wears ?A ?C)
    (part ?P ?C))
  (wears ?A ?P))

(subclass Device Artifact)
(documentation Device EnglishLanguage "A &%Device is an &%Artifact whose purpose is to
serve as an &%instrument in a specific subclass of &%Process.")

(=>
   (instance ?DEVICE Device)
   (exists (?PROC)
      (capability ?PROC instrument ?DEVICE)))

(=>
  (instance ?DEVICE Device)
  (exists (?PROC)
    (hasPurpose ?DEVICE
      (exists (?INST)
        (and
          (instance ?INST ?PROC)
          (instrument ?INST ?DEVICE))))))

(subclass MusicalInstrument Device)
(documentation MusicalInstrument EnglishLanguage "A &%Device which is manipulated by a
&%Human and whose purpose is &%MakingMusic.")

(=>
   (instance ?INSTRUMENT MusicalInstrument)
   (capability MakingMusic instrument ?INSTRUMENT))

(subclass TransportationDevice Device)
(documentation TransportationDevice EnglishLanguage "A &%TransportationDevice is a
&%Device which serves as the &%instrument in a &%Transportation &%Process which carries
the &%patient of the &%Process from one point to another.")

(=>
   (instance ?DEVICE TransportationDevice)
   (capability Transportation instrument ?DEVICE))

(subclass Vehicle TransportationDevice)
(documentation Vehicle EnglishLanguage "&%Vehicle is the subclass of
&%TransportationDevices that transport passengers or goods
from one place to another by moving from one place to the other
with them, e.g., cars, trucks, ferries, and airplanes.  Contrast
with devices such as pipelines, escalators, or supermarket
checkout belts, which carry items from one place to another by means
of a moving part, without the device removing from the origin to
the destination.")

(=>
  (and
    (instance ?TRANSPORT Vehicle)
    (instance ?MOVE Translocation)
    (instrument ?MOVE ?TRANSPORT)
    (origin ?MOVE ?FROM))
  (holdsDuring (BeginFn (WhenFn ?MOVE)) (located ?TRANSPORT ?FROM)))

(=>
  (and
    (instance ?TRANSPORT Vehicle)
    (instance ?MOVE Translocation)
    (instrument ?MOVE ?TRANSPORT)
    (destination ?MOVE ?TO))
  (holdsDuring (BeginFn (WhenFn ?MOVE)) (located ?TRANSPORT ?TO)))

(subclass MeasuringDevice Device)
(documentation MeasuringDevice EnglishLanguage "Any &%Device whose purpose is to measure a
&%PhysicalQuantity.")

(=>
  (instance ?DEVICE MeasuringDevice)
  (hasPurpose ?DEVICE
    (exists (?MEASURE)
      (and
        (instance ?MEASURE Measuring)
        (instrument ?MEASURE ?DEVICE)))))

(subclass AttachingDevice Device)
(documentation AttachingDevice EnglishLanguage "A &%Device whose purpose is to attach one
thing to something else, e.g. nails, screws, buttons, etc.")

(=>
   (instance ?DEVICE AttachingDevice)
   (exists (?ATTACH)
      (and
         (instance ?ATTACH Attaching)
         (instrument ?ATTACH ?DEVICE))))

(subclass Weapon Device)
(documentation Weapon EnglishLanguage "The &%Class of &%Devices that are designed
primarily to damage or destroy &%Humans/&%Animals, &%StationaryArtifacts or
the places inhabited by &%Humans/&%Animals.")

(=>
   (instance ?WEAPON Weapon)
   (capability Damaging instrument ?WEAPON))

(=>
  (instance ?WEAPON Weapon)
  (hasPurpose ?WEAPON
    (exists (?D ?PATIENT)
      (and
        (instance ?D Damaging)
	(instrument ?D ?WEAPON)
        (patient ?D ?PATIENT)))))

(subclass Machine Device)
(documentation Machine EnglishLanguage "&%Machines are &%Devices that that have a
well-defined &%resource and &%result and that automatically convert
the &%resource into the &%result.")

(=>
   (instance ?MACHINE Machine)
   (forall (?PROC)
      (=>
         (instrument ?PROC ?MACHINE)
         (exists (?RESOURCE ?RESULT)
            (and
               (resource ?PROC ?RESOURCE)
               (result ?PROC ?RESULT))))))

(subclass EngineeringComponent Device)
(documentation EngineeringComponent EnglishLanguage "A fundamental concept that applies
in many engineering domains.  An &%EngineeringComponent is an element of
a &%Device that is a physically whole object, such as one might
see listed as standard parts in a catalog.  The main difference betweeen
&%EngineeringComponents and arbitrary globs of matter is that
&%EngineeringComponents are object-like in a modeling sense.  Thus, an
&%EngineeringComponent is not an arbtrary subregion, but a part of a
system with a stable identity.")

(=>
   (instance ?COMP EngineeringComponent)
   (exists (?DEVICE)
      (and
         (instance ?DEVICE Device)
         (component ?COMP ?DEVICE))))

(=>
   (instance ?MACHINE Machine)
   (exists (?COMP1 ?COMP2)
      (and
         (instance ?COMP1 EngineeringComponent)
         (instance ?COMP2 EngineeringComponent)
         (not (equal ?COMP1 ?COMP2))
         (part ?COMP1 ?MACHINE)
         (part ?COMP2 ?MACHINE))))

(subrelation engineeringSubcomponent properPart)
(instance engineeringSubcomponent BinaryPredicate)
(domain engineeringSubcomponent 1 EngineeringComponent)
(domain engineeringSubcomponent 2 EngineeringComponent)
(documentation engineeringSubcomponent EnglishLanguage "(&%engineeringSubcomponent ?SUB
?SUPER) means that the &%EngineeringComponent ?SUB is structurally a
&%properPart of ?SUPER.  This relation is an &%AsymmetricRelation, since
two &%EngineeringComponents cannot be subcomponents of each other.")

(instance connectedEngineeringComponents SymmetricRelation)
(instance connectedEngineeringComponents IrreflexiveRelation)
(instance connectedEngineeringComponents PartialValuedRelation)
(subrelation connectedEngineeringComponents connected)
(domain connectedEngineeringComponents 1 EngineeringComponent)
(domain connectedEngineeringComponents 2 EngineeringComponent)
(documentation connectedEngineeringComponents EnglishLanguage "This is the most general
connection relation between &%EngineeringComponents.  If
(&%connectedEngineeringComponents ?COMP1 ?COMP2), then neither ?COMP1 nor
?COMP2 can be an &%engineeringSubcomponent of the other.  The relation
&%connectedEngineeringComponents is a &%SymmetricRelation, there is no
information in the direction of connection between two components.  It is
also an &%IrreflexiveRelation, no &%EngineeringComponent bears this relation
to itself.  Note that this relation does not associate a name or type
with the connection.")

(=>
   (connectedEngineeringComponents ?COMP1 ?COMP2)
   (and
      (not
         (engineeringSubcomponent ?COMP1 ?COMP2))
      (not
         (engineeringSubcomponent ?COMP2 ?COMP1))))

(subclass EngineeringConnection EngineeringComponent)
(documentation EngineeringConnection EnglishLanguage "An &%EngineeringConnection is an
&%EngineeringComponent that represents a connection relationship between
two other &%EngineeringComponents.  It is a reification of the
&%Predicate &%connectedEngineeringComponents.  That means that whenever
this &%Predicate holds between two &%EngineeringComponents, there exists an
&%EngineeringConnection.  The practical reason for reifying a relationship
is to be able to attach other information about it. For example, one
might want to say that a particular connection is associated with some
shared parameters, or that it is of a particular type.
&%EngineeringConnections are &%EngineeringComponents and can therefore be
an &%engineeringSubcomponent of other &%EngineeringComponents.  However,
to provide for modular regularity in component systems,
&%EngineeringConnections cannot be connected.  For each pair of
&%EngineeringComponents related by &%connectedEngineeringComponents, there
exists at least one &%EngineeringConnection.  However, that object may not
be unique, and the same &%EngineeringConnection may be associated with
several pairs of &%EngineeringComponents.")

(=>
   (instance ?CONNECTION EngineeringConnection)
   (exists (?COMP1 ?COMP2)
      (connectsEngineeringComponents ?CONNECTION ?COMP1 ?COMP2)))

(=>
   (connectedEngineeringComponents ?COMP1 ?COMP2)
   (not
      (or
         (instance ?COMP1 EngineeringConnection)
         (instance ?COMP2 EngineeringConnection))))

(=>
  (connectedEngineeringComponents ?COMP1 ?COMP2)
  (exists (?CONNECTION)
    (connectsEngineeringComponents ?CONNECTION ?COMP1 ?COMP2)))

(=>
  (exists (?CONNECTION)
    (connectsEngineeringComponents ?CONNECTION ?COMP1 ?COMP2))
  (connectedEngineeringComponents ?COMP1 ?COMP2))

(subrelation connectsEngineeringComponents connects)
(instance connectsEngineeringComponents TernaryPredicate)
(domain connectsEngineeringComponents 1 EngineeringConnection)
(domain connectsEngineeringComponents 2 EngineeringComponent)
(domain connectsEngineeringComponents 3 EngineeringComponent)
(documentation connectsEngineeringComponents EnglishLanguage "&%connectsEngineeringComponents
is a &%TernaryPredicate that maps from an &%EngineeringConnection to the
&%EngineeringComponents it connects.  Since &%EngineeringComponents cannot
be connected to themselves and there cannot be an &%EngineeringConnection
without a &%connectedEngineeringComponents &%Predicate, the second and third
arguments of any &%connectsEngineeringComponents relationship will always be
distinct for any given first argument.")

;; This following part contains definitions and axioms relating to social
;; groups and the relations between them.

(subclass CommercialAgent Agent)
(documentation CommercialAgent EnglishLanguage "An &%Agent that
provides products and/or services for a fee with the aim of making a
profit.")

;; KJN: Moved from Media.kif
(subclass Business CommercialAgent)
(subclass Business Organization)
(documentation Business EnglishLanguage "An &%instance of &%Business is an &%Organization
that is a &%CommercialAgent.")

;; KJN: Removing this and putting in definition of Corporation that subclasses it from Business
;;(subclass Corporation CommercialAgent)
;;(subclass Corporation Organization)

(subclass Corporation Business)
;; NS: add.
(subclass Corporation LegalAgent)

(documentation Corporation EnglishLanguage "An &%Organization that has
a special legal status that allows a group of persons to act as a
&%CommercialAgent and that insulates the owners (shareholders) from
many liabilities that might result from the corporation's operation.")

(subclass Manufacturer Corporation)
(documentation Manufacturer EnglishLanguage "Any &%Corporation which manufactures
&%Products.")

(=>
  (instance ?ORG Manufacturer)
  (hasPurpose ?ORG
    (exists (?MANUFACTURE)
      (and
        (instance ?MANUFACTURE Manufacture)
        (instance ?MANUFACTURE CommercialService)
        (agent ?MANUFACTURE ?ORG)))))

(subclass MercantileOrganization Corporation)
(documentation MercantileOrganization EnglishLanguage "Any &%Corporation which sells
goods or services to customers for a profit.")

(=>
  (instance ?ORG MercantileOrganization)
  (hasPurpose ?ORG
    (exists (?SELL)
      (and
        (instance ?SELL Selling)
        (instance ?SELL CommercialService)
        (agent ?SELL ?ORG)))))

(subclass Group Collection)
(subclass Group Agent)
(documentation Group EnglishLanguage "A &%Collection of &%Agents, e.g. a flock
of sheep, a herd of goats, or the local Boy Scout troop.")

(=>
  (and
    (instance ?GROUP Group)
    (member ?MEMB ?GROUP))
  (instance ?MEMB Agent))

(subclass GroupOfPeople Group)
(documentation GroupOfPeople EnglishLanguage "Any &%Group whose &%members are
exclusively &%Humans.")

(=>
  (and
    (instance ?GROUP GroupOfPeople)
    (member ?MEMBER ?GROUP))
  (instance ?MEMBER Human))

(subclass AgeGroup GroupOfPeople)
(documentation AgeGroup EnglishLanguage "A &%GroupOfPeople whose &%members all have the
same &%age.")

(=>
  (instance ?GROUP AgeGroup)
  (forall (?MEMB1 ?MEMB2 ?AGE1 ?AGE2)
    (=>
      (and
        (member ?MEMB1 ?GROUP)
        (member ?MEMB2 ?GROUP)
        (age ?MEMB1 ?AGE1)
        (age ?MEMB2 ?AGE2))
      (equal ?AGE1 ?AGE2))))

(subclass FamilyGroup GroupOfPeople)
(documentation FamilyGroup EnglishLanguage "A &%GroupOfPeople whose &%members bear
&%familyRelations to one another.")

(=>
   (instance ?GROUP FamilyGroup)
   (forall (?MEMB1 ?MEMB2)
      (=>
         (and
            (member ?MEMB1 ?GROUP)
            (member ?MEMB2 ?GROUP))
         (familyRelation ?MEMB1 ?MEMB2))))

(subclass SocialUnit GroupOfPeople)
(documentation SocialUnit EnglishLanguage "A &%GroupOfPeople who all have the same
&%home.")

(=>
   (instance ?UNIT SocialUnit)
   (exists (?HOME)
      (=>
         (member ?MEMBER ?UNIT)
         (home ?MEMBER ?HOME))))

(instance ImmediateFamilyFn UnaryFunction)
(instance ImmediateFamilyFn TotalValuedRelation)
(domain ImmediateFamilyFn 1 Human)
(range ImmediateFamilyFn FamilyGroup)
(documentation ImmediateFamilyFn EnglishLanguage "(&%ImmediateFamilyFn ?PERSON) denotes
the immediate family of ?PERSON, i.e. the &%Group consisting of the &%parents of
?PERSON and anyone of whom ?PERSON is a &%parent.")

(=>
  (equal (ImmediateFamilyFn ?P) ?FAMILY)
  (forall (?MEMBER)
    (=>
      (member ?MEMBER ?FAMILY)
      (exists (?OTHER)
        (or
          (parent ?MEMBER ?OTHER)
          (parent ?OTHER ?MEMBER))))))

(=>
  (equal (ImmediateFamilyFn ?PERSON) ?FAMILY)
  (exists (?MEMBER)
    (and
      (member ?MEMBER ?FAMILY)
      (or
        (parent ?MEMBER ?PERSON)
        (parent ?PERSON ?MEMBER)))))

(instance relative BinaryPredicate)
(domain relative 1 Organism)
(domain relative 2 Organism)

(documentation relative EnglishLanguage "(&%relative ?O1 ?O2) means that ?O1
and ?O2 are relatives, whether through common ancestry (consanguinity),
someone's marriage (affinity), or someone's adoption.  This definition is
intentionally broad, so as to capture a wide array of `familial'
relations.  The notion of who counts as `family' also varies between
cultures, but that aspect of meaning is not addressed here.")

(subrelation familyRelation relative)
(subrelation spouse relative)

(=>
 (and
   (holdsDuring ?T1 (legalRelation ?A1 ?A2))
   (instance ?A1 Organism)
   (instance ?A2 Organism))
 (holdsDuring ?T1  (relative ?A1 ?A2)))

(instance familyRelation BinaryPredicate)
(domain familyRelation 1 Organism)
(domain familyRelation 2 Organism)
(documentation familyRelation EnglishLanguage "A very general &%Predicate for biological
relationships. (&%familyRelation ?ORGANISM1 ?ORGANISM2) means that
?ORGANISM1 and ?ORGANISM2 are biologically derived from a common ancestor.")

(=>
   (familyRelation ?ORGANISM1 ?ORGANISM2)
   (exists (?ORGANISM3)
      (and
         (ancestor ?ORGANISM3 ?ORGANISM1)
         (ancestor ?ORGANISM3 ?ORGANISM2))))

; (subrelation ancestor familyRelation)
(instance ancestor TransitiveRelation)
(instance ancestor IrreflexiveRelation)
(instance ancestor TotalValuedRelation)
(instance ancestor BinaryPredicate)
(domain ancestor 1 Organism)
(domain ancestor 2 Organism)
(documentation ancestor EnglishLanguage "The transitive closure of the &%parent predicate.
(&%ancestor ?DESCENDANT ?ANCESTOR) means that ?ANCESTOR is either the
&%parent of ?DESCENDANT or the &%parent of the &%parent of &%DESCENDANT or
etc.")

;MSv: parent can't be a subrelation of ancestor since ancestor is a TransitiveRelation and that is an InheritableRelation
;(subrelation parent ancestor)

(instance parent BinaryPredicate)
; (subrelation parent familyRelation)
(instance parent AsymmetricRelation)
(instance parent IntransitiveRelation)
(instance parent TotalValuedRelation)
(domain parent 1 Organism)
(domain parent 2 Organism)
(documentation parent EnglishLanguage "The general relationship of parenthood.
(&%parent ?CHILD ?PARENT) means that ?PARENT is a biological parent
of ?CHILD.")

(=>
  (parent ?CHILD ?PARENT)
  (ancestor ?CHILD ?PARENT))

(=>
   (parent ?CHILD ?PARENT)
   (before (BeginFn (WhenFn ?PARENT)) (BeginFn (WhenFn ?CHILD))))

(=>
   (and
      (parent ?CHILD ?PARENT)
      (subclass ?CLASS Organism)
      (instance ?PARENT ?CLASS))
   (instance ?CHILD ?CLASS))

(=>
  (and
    (parent ?CHILD ?PARENT)
    (instance ?REP SexualReproduction)
    (agent ?REP ?PARENT)
    (result ?REP ?CHILD))
  (or
    (mother ?CHILD ?PARENT)
    (father ?CHILD ?PARENT)))

(=>
   (instance ?ORGANISM Organism)
   (exists (?PARENT)
      (parent ?ORGANISM ?PARENT)))

(instance mother SingleValuedRelation)
(instance mother PartialValuedRelation)
(instance mother BinaryPredicate)

(=>
  (mother ?A ?B)
  (parent ?A ?B))

(domain mother 1 Organism)
(domain mother 2 Organism)
(documentation mother EnglishLanguage "The general relationship of motherhood.
(&%mother ?CHILD ?MOTHER) means that ?MOTHER is the biological mother
of ?CHILD.")
(=>
   (mother ?CHILD ?MOTHER)
   (attribute ?MOTHER Female))

(instance father SingleValuedRelation)
(instance father PartialValuedRelation)
(instance father BinaryPredicate)

(=>
  (father ?A ?B)
  (parent ?A ?B))

(domain father 1 Organism)
(domain father 2 Organism)
(documentation father EnglishLanguage "The general relationship of fatherhood.
(&%father ?CHILD ?FATHER) means that ?FATHER is the biological father
of ?CHILD.")

(=>
   (father ?CHILD ?FATHER)
   (attribute ?FATHER Male))

(instance daughter BinaryPredicate)
(subrelation daughter parent)
(domain daughter 1 Organism)
(domain daughter 2 Organism)
(documentation daughter EnglishLanguage "The general relationship of daughterhood.
(&%daughter ?CHILD ?PARENT) means that ?CHILD is the biological daughter
of ?PARENT.")

(=>
   (daughter ?CHILD ?PARENT)
   (attribute ?CHILD Female))

(subrelation son parent)
(instance son BinaryPredicate)
(domain son 1 Organism)
(domain son 2 Organism)
(documentation son EnglishLanguage "The general relationship of being a son.
(&%son ?CHILD ?PARENT) means that ?CHILD is the biological
son of ?PARENT.")

(=>
   (son ?CHILD ?PARENT)
   (attribute ?CHILD Male))

(instance sibling BinaryPredicate)
(instance sibling PartialValuedRelation)
(subrelation sibling familyRelation)
(instance sibling SymmetricRelation)
(instance sibling IrreflexiveRelation)
(domain sibling 1 Organism)
(domain sibling 2 Organism)
(documentation sibling EnglishLanguage "The relationship between two &%Organisms that
have the same &%mother and &%father.  Note that this relationship does
not hold between half-brothers, half-sisters, etc.")

(=>
  (and
    (parent ?ORGANISM1 ?PARENT1)
    (parent ?ORGANISM2 ?PARENT1)
    (parent ?ORGANISM1 ?PARENT2)
    (parent ?ORGANISM2 ?PARENT2)
    (not (equal ?ORGANISM1 ?ORGANISM2))
    (not (equal ?PARENT1 ?PARENT2)))
  (sibling ?ORGANISM1 ?ORGANISM2))

(=>
  (and
    (sibling ?ORG1 ?ORG2)
    (parent ?ORG1 ?PARENT))
  (parent ?ORG2 ?PARENT))

(=>
  (and
    (parent ?CHILD ?PARENT)
    (attribute ?PARENT Male))
  (father ?CHILD ?PARENT))

(=>
  (and
    (parent ?CHILD ?PARENT)
    (attribute ?PARENT Female))
  (mother ?CHILD ?PARENT))

(subrelation brother sibling)
(instance brother IrreflexiveRelation)
(instance brother TransitiveRelation)
(instance brother PartialValuedRelation)
(domain brother 1 Man)
(domain brother 2 Human)
(documentation brother EnglishLanguage "The general relationship of being a brother.
(&%brother ?MAN ?PERSON) means that ?MAN is the brother of ?PERSON.")

(subrelation sister sibling)
(instance sister IrreflexiveRelation)
(instance sister TransitiveRelation)
(instance sister PartialValuedRelation)
(domain sister 1 Woman)
(domain sister 2 Human)
(documentation sister EnglishLanguage "The general relationship of being a sister.
(&%sister ?WOMAN ?PERSON) means that ?WOMAN is the sister of ?PERSON.")

(instance legalRelation BinaryPredicate)
(instance legalRelation SymmetricRelation)
(domain legalRelation 1 Human)
(domain legalRelation 2 Human)
(documentation legalRelation EnglishLanguage "(&%legalRelation ?AGENT1 ?AGENT2) means
that ?AGENT1 and ?AGENT2 are relatives by virtue of a legal relationship.
Some examples include marriage, adoption, etc.")

(=>
   (legalRelation ?AGENT1 ?AGENT2)
   (exists (?DECLARE ?OBLIGATION)
      (and
         (instance ?DECLARE Declaring)
         (confersObligation ?OBLIGATION ?DECLARE ?AGENT1)
         (confersObligation ?OBLIGATION ?DECLARE ?AGENT2))))

(instance acquaintance BinaryPredicate)

(documentation acquaintance EnglishLanguage "(&%acquaintance ?H1 ?H2) means that ?H1 has
met and knows something about ?H2, such as ?H2's name and appearance.
Statements made with this predicate should be temporally specified with
&%holdsDuring.  Note that &%acquaintance is not symmetric.  For the
symmetric version, see &%mutualAcquaintance.")

(domain acquaintance 1 Human)
(domain acquaintance 2 Human)

(instance mutualAcquaintance BinaryPredicate)
(instance mutualAcquaintance SymmetricRelation)

(documentation mutualAcquaintance EnglishLanguage "(&%mutualAcquaintance ?H1 ?H2) means
that ?H1 and ?H2 have met each other and know something about each other,
such as name and appearance.  Statements made with this predicate should
be temporally specified with &%holdsDuring.  See also the weaker,
non-symmetric version of this predicate, &%acquaintance.")

(domain mutualAcquaintance 1 Human)
(domain mutualAcquaintance 2 Human)
(subrelation mutualAcquaintance acquaintance)
(subrelation spouse mutualAcquaintance)

(subrelation spouse legalRelation)
(instance spouse IrreflexiveRelation)
(instance spouse SymmetricRelation)
(instance spouse PartialValuedRelation)
(domain spouse 1 Human)
(domain spouse 2 Human)
(documentation spouse EnglishLanguage "The relationship of marriage between two
&%Humans.")

; (subrelation husband spouse)
(instance husband AsymmetricRelation)
(instance husband BinaryPredicate)
(instance husband IrreflexiveRelation)
(instance husband PartialValuedRelation)
(domain husband 1 Man)
(domain husband 2 Woman)
(inverse husband wife)
(documentation husband EnglishLanguage "(&%husband ?MAN ?WOMAN) means that ?MAN is the
husband of ?WOMAN.")

; (subrelation wife spouse)
(instance wife AsymmetricRelation)
(instance wife IrreflexiveRelation)
(instance wife BinaryPredicate)
(domain wife 1 Woman)
(domain wife 2 Man)
(documentation wife EnglishLanguage "(&%wife ?WOMAN ?MAN) means that ?WOMAN is the wife of
?MAN.")

(subclass EthnicGroup GroupOfPeople)
(documentation EthnicGroup EnglishLanguage "A &%GroupOfPeople whose &%members originate
from the same &%GeographicArea or share the same &%Language and/or cultural
practices.")

(subclass BeliefGroup GroupOfPeople)
(documentation BeliefGroup EnglishLanguage "A &%GroupOfPeople whose &%members share a
belief or set of beliefs.")

(=>
   (instance ?GROUP BeliefGroup)
   (exists (?BELIEF)
      (forall (?MEMB)
         (=>
            (member ?MEMB ?GROUP)
            (believes ?MEMB ?BELIEF)))))

(subclass Organization Group)

;; NS: delete.
;; (subclass Organization CognitiveAgent)

;; NS: add.
(subclass Organization Agent)

(documentation Organization EnglishLanguage "An &%Organization is a
corporate or similar institution. The &%members of an &%Organization
typically have a common purpose or function. Note that this class also
covers divisions, departments, etc. of organizations.  For example,
both the Shell Oil Corporation and the accounting department at Shell
would both be instances of &%Organization.  Note too that the
existence of an &%Organization is dependent on the existence of at
least one &%member (since &%Organization is a subclass of
&%Collection).  Accordingly, in cases of purely legal organizations, a
fictitious &%member should be assumed.")

(=>
   (instance ?ORG Organization)
   (exists (?PURP)
      (forall (?MEMBER)
         (=>
            (member ?MEMBER ?ORG)
            (hasPurpose ?MEMBER ?PURP)))))

(=>
   (and
      (instance ?ORG Organization)
      (member ?AGENT ?ORG))
   (instance ?AGENT Agent))

(instance employs BinaryPredicate)
(domain employs 1 Agent)
(domain employs 2 CognitiveAgent)
(documentation employs EnglishLanguage "(&%employs ?A ?PERSON) means that ?A has
hired ?PERSON and currently retains ?PERSON, on a salaried, hourly
or contractual basis, to provide services in exchange for monetary
compensation.")

(subclass PoliticalOrganization Organization)
(documentation PoliticalOrganization EnglishLanguage "An &%Organization that is attempting
to bring about some sort of political change.")

(=>
   (instance ?POL PoliticalOrganization)
   (exists (?PROC)
      (and
         (instance ?PROC PoliticalProcess)
         (agent ?PROC ?POL))))

(subclass MilitaryForce PoliticalOrganization)
(documentation MilitaryForce EnglishLanguage "&%MilitaryForce is the subclass of
&%Organizations that are organized along military lines and for the
purpose of either defensive or offensive combat, whether or not
the force is an official &%GovernmentOrganization.")

(=>
  (instance ?ORG MilitaryForce)
  (capability ViolentContest agent ?ORG))

(subclass MilitaryOrganization MilitaryForce)
(subclass MilitaryOrganization GovernmentOrganization)
(documentation MilitaryOrganization EnglishLanguage "Any heavily armed &%Organization
that is part of a &%Government and that is charged with representing the
&%Government in international conflicts.")

(subclass ParamilitaryOrganization MilitaryForce)
(disjoint ParamilitaryOrganization GovernmentOrganization)
(documentation ParamilitaryOrganization EnglishLanguage "An &%Organization which is much
like a &%MilitaryOrganization, e.g. it is made up of armed fighters, except that it
is not associated with a &%Government.")

(subclass GovernmentOrganization Organization)
(documentation GovernmentOrganization EnglishLanguage "&%GovernmentOrganization is the
class of official &%Organizations that are concerned with the government
of a &%GeopoliticalArea at some level.  They may be a &%subOrganization
of a government.")

(=>
   (instance ?ORG GovernmentOrganization)
   (exists (?GOV)
      (and
         (instance ?GOV Government)
         (subOrganization ?ORG ?GOV))))

(=>
  (and
    (instance ?GOV Government)
    (subOrganization ?ORG ?GOV))
  (instance ?ORG GovernmentOrganization))

(=>
   (and
      (subOrganization ?ORG ?GOV)
      (instance ?GOV GovernmentOrganization))
   (instance ?ORG GovernmentOrganization))

(subclass Government GovernmentOrganization)

;; NS: add.
(subclass Government LegalAgent)

(documentation Government EnglishLanguage "The ruling body of a &%GeopoliticalArea.")

(instance GovernmentFn UnaryFunction)
(instance GovernmentFn PartialValuedRelation)
(domain GovernmentFn 1 GeopoliticalArea)
(range GovernmentFn Government)
(documentation GovernmentFn EnglishLanguage "(&%GovernmentFn ?AREA) denotes the
&%Government of the &%GeopoliticalArea ?AREA.  For example,
(&%GovernmentFn &%UnitedStates) denotes the Federal-level government of
the United States, (&%GovernmentFn &%PuertoRico) denotes the government of
the Commonwealth of Puerto Rico.")

(subclass PoliceOrganization GovernmentOrganization)
(documentation PoliceOrganization EnglishLanguage "Any &%GovernmentOrganization
that is charged with domestic enforcement of the laws of the &%Government.")

(subclass JudicialOrganization Organization)
(documentation JudicialOrganization EnglishLanguage "&%JudicialOrganization is the class
of &%Organizations whose primary purpose is to render judgments according
to the statutes or regulations of a government or other organization.
Judicial bodies are not necessarily government organizations, for example,
those associated with sporting associations.")

(subclass EducationalOrganization Organization)
(documentation EducationalOrganization EnglishLanguage "A &%EducationalOrganization is
an institution of learning. Some examples are public and private K-12
schools, and colleges and universities.")

(subclass ReligiousOrganization Organization)
(subclass ReligiousOrganization BeliefGroup)
(documentation ReligiousOrganization EnglishLanguage "An &%Organization whose members
share a set of religious beliefs.")

(subrelation subOrganization subCollection)
(instance subOrganization PartialOrderingRelation)
(domain subOrganization 1 Organization)
(domain subOrganization 2 Organization)
(documentation subOrganization EnglishLanguage "(&%subOrganization ?ORG1 ?ORG2) means
that ?ORG1 is an &%Organization which is a part of the &%Organization
?ORG2.  Note that &%subOrganization is a &%ReflexiveRelation, so every
&%Organization is a &%subOrganization of itself.")

(instance citizen BinaryPredicate)
(instance citizen AsymmetricRelation)
(domain citizen 1 Human)
(domain citizen 2 Nation)
(documentation citizen EnglishLanguage "(&%citizen ?PERSON ?NATION) means that the
&%Human ?PERSON is a citizen of &%Nation ?NATION.")

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;
;;   QUALITIES   ;;
;;;;;;;;;;;;;;;;;;;

;; INCLUDES 'MEREOTOPOLOGY'
;; INCLUDES 'PROCESSES'
;; INCLUDES 'OBJECTS'

(subclass FieldOfStudy Proposition)
(documentation FieldOfStudy EnglishLanguage "An academic or applied discipline with
recognized experts and with a core of accepted theory or practice.  Note
that &%FieldOfStudy is a &%subclass of &%Proposition, because a
&%FieldOfStudy is understood to be a body of abstract, informational
content, with varying degrees of certainty attached to each element of
this content.")

(subclass Procedure Proposition)
(documentation Procedure EnglishLanguage "A sequence-dependent specification.  Some
examples are &%ComputerPrograms, finite-state machines, cooking recipes,
musical scores, conference schedules, driving directions, and the scripts
of plays and movies.")

(subclass ComputerProgram Procedure)
(documentation ComputerProgram EnglishLanguage "A set of instructions in a computer
programming language that can be executed by a computer.")

(subclass ComputerProgramming ContentDevelopment)
(documentation ComputerProgramming EnglishLanguage "The process of developing a
&%ComputerProgram")

(=>
  (instance ?CP ComputerProgramming)
  (exists (?C)
    (and
      (instance ?C ComputerProgram)
      (result ?CP ?C))))

(subclass Plan Procedure)
(documentation Plan EnglishLanguage "A specification of a sequence of &%Processes which
is intended to satisfy a specified purpose at some future time.")

(=>
    (and
       (instance ?PLAN Plan)
       (instance ?OBJ ContentBearingObject)
       (containsInformation ?OBJ ?PLAN))
    (exists (?PLANNING)
       (and
          (instance ?PLANNING Planning)
          (result ?PLANNING ?OBJ))))

(subclass Argument Proposition)
(partition Argument DeductiveArgument InductiveArgument)
(documentation Argument EnglishLanguage "Any proposition which has the form of a deductive
or inductive argument, i.e. a set of premises which, it is claimed, imply
a conclusion.")

(=>
   (instance ?REASON Reasoning)
   (exists (?ARGUMENT)
      (and
         (instance ?ARGUMENT Argument)
         (realization ?REASON ?ARGUMENT))))

(=>
   (instance ?ARGUMENT Argument)
   (exists (?PREMISES ?CONCLUSION)
      (and
         (equal (PremisesFn ?ARGUMENT) ?PREMISES)
         (conclusion ?CONCLUSION ?ARGUMENT))))

(subclass DeductiveArgument Argument)
(partition DeductiveArgument ValidDeductiveArgument InvalidDeductiveArgument)
(documentation DeductiveArgument EnglishLanguage "An &%Argument which has the form of a
deduction, i.e. it is claimed that the set of &%premises &%entails the
&%conclusion.")

(subclass ValidDeductiveArgument DeductiveArgument)
(documentation ValidDeductiveArgument EnglishLanguage "A &%DeductiveArgument which is
valid, i.e. the set of &%premises in fact &%entails the &%conclusion.")

(=>
   (and
      (instance ?ARGUMENT ValidDeductiveArgument)
      (equal ?PREMISES (PremisesFn ?ARGUMENT))
      (conclusion ?CONCLUSION ?ARGUMENT))
   (exists (?FORMULA1 ?FORMULA2)
      (and
         (containsInformation ?FORMULA1 ?PREMISES)
         (containsInformation ?FORMULA2 ?CONCLUSION)
         (entails ?PREMISES ?CONCLUSION))))

(subclass InvalidDeductiveArgument DeductiveArgument)
(documentation InvalidDeductiveArgument EnglishLanguage "&%DeductiveArguments that are not
&%ValidDeductiveArguments, i.e. it is not the case that the set of &%premises
in fact &%entails the &%conclusion.")

(subclass Explanation DeductiveArgument)
(documentation Explanation EnglishLanguage "An &%Argument where the conclusion is an
observed fact and the premises are other facts which collectively imply
the conclusion.  Note that this is the hypothetico-deductive model
of explanation.")

(subclass InductiveArgument Argument)
(documentation InductiveArgument EnglishLanguage "An &%Argument which is inductive, i.e.
it is claimed that a set of specific cases makes the &%conclusion, which generalizes
these cases, more likely to be true.")

(instance premise BinaryPredicate)
(instance premise TotalValuedRelation)
(domain premise 1 Argument)
(domain premise 2 Proposition)
(documentation premise EnglishLanguage "(&%premise ?ARGUMENT ?PROPOSITION) means that the
&%Proposition ?PROPOSITION is an explicit assumption of the &%Argument
?ARGUMENT.")

(instance PremisesFn UnaryFunction)
(instance PremisesFn TotalValuedRelation)
(domain PremisesFn 1 Argument)
(range PremisesFn Proposition)
(documentation PremisesFn EnglishLanguage "(&%PremisesFn ?ARGUMENT) returns the complete
set of &%premises of the &%Argument ?ARGUMENT.")

(=>
   (and
      (instance ?ARGUMENT Argument)
      (equal ?PREMISES (PremisesFn ?ARGUMENT)))
   (<=>
      (subProposition ?PROPOSITION ?PREMISES)
      (premise ?ARGUMENT ?PROPOSITION)))

(instance conclusion BinaryPredicate)
(instance conclusion SingleValuedRelation)
(instance conclusion TotalValuedRelation)
(domain conclusion 1 Argument)
(domain conclusion 2 Proposition)
(documentation conclusion EnglishLanguage "(&%conclusion ?ARGUMENT ?PROPOSITION) means
that the &%Proposition ?PROPOSITION is the conclusion explicitly drawn from the
&%Argument ?ARGUMENT.  Note that it may or may not be the case that ?ARGUMENT
&%entails ?PROPOSITION.")

(instance consistent BinaryPredicate)
(instance consistent SymmetricRelation)
(domain consistent 1 Proposition)
(domain consistent 2 Proposition)
(documentation consistent EnglishLanguage "(&%consistent ?PROP1 ?PROP2) means that the two
&%Propositions ?PROP1 and ?PROP2 are consistent with one another, i.e. it
is possible for both of them to be true at the same time.")

(instance orientation SpatialRelation)
(instance orientation TernaryPredicate)
(domain orientation 1 Object)
(domain orientation 2 Object)
(domain orientation 3 PositionalAttribute)
(documentation orientation EnglishLanguage "A general &%Predicate for indicating how two
&%Objects are oriented with respect to one another.  For example,
(orientation ?OBJ1 ?OBJ2 North) means that ?OBJ1 is north of ?OBJ2, and
(orientation ?OBJ1 ?OBJ2 Vertical) means that ?OBJ1 is positioned
vertically with respect to ?OBJ2.")

(=>
   (and
      (orientation ?OBJ1 ?OBJ2 ?ATTR1)
      (contraryAttribute @ROW)
      (inList ?ATTR1 (ListFn @ROW))
      (inList ?ATTR2 (ListFn @ROW))
      (not (equal ?ATTR1 ?ATTR2)))
   (not
      (orientation ?OBJ1 ?OBJ2 ?ATTR2)))

(=>
  (and
    (orientation ?X ?Y Right)
    (orientation ?Z ?Y Left))
 (orientation ?X ?Z Right))

(instance direction CaseRole)
(instance direction PartialValuedRelation)
(domain direction 1 Process)
(domain direction 2 PositionalAttribute)
(subrelation direction involvedInEvent)
(documentation direction EnglishLanguage "(&%direction ?PROC ?ATTR) means that the
&%Process ?PROC is moving in the direction ?ATTR.  For example, one
would use this &%Predicate to represent the fact that Max is moving
&%North.")

(=>
   (holdsDuring ?TIME (direction ?PROC ?ATTR1))
   (forall (?ATTR2)
      (=>
         (holdsDuring ?TIME (direction ?PROC ?ATTR2))
         (equal ?ATTR2 ?ATTR1))))

(instance faces BinaryPredicate)
(domain faces 1 Object)
(domain faces 2 DirectionalAttribute)
(documentation faces EnglishLanguage "(&%faces ?OBJ ?DIRECTION) means that the front of
?OBJ (see &%FrontFn) is positioned towards the compass direction ?DIRECTION.
More precisely, it means that if a line were extended from the center of
?DIRECTION, the line would intersect with the front of ?OBJ before it
intersected with its back (see &%BackFn).")

(=>
   (holdsDuring ?TIME (faces ?PROC ?ATTR1))
   (forall (?ATTR2)
      (=>
         (holdsDuring ?TIME (faces ?PROC ?ATTR2))
         (equal ?ATTR2 ?ATTR1))))

(subclass TruthValue RelationalAttribute)
(documentation TruthValue EnglishLanguage "The &%Class of truth values, e.g. &%True and
&%False.  These are &%Attributes of &%Sentences and &%Propositions.")

(=>
   (and
      (property ?ITEM ?VALUE)
      (instance ?VALUE TruthValue))
   (or
      (instance ?ITEM Sentence)
      (instance ?ITEM Proposition)))

(instance True TruthValue)
(documentation True EnglishLanguage "The &%TruthValue of being true.")

(instance False TruthValue)
(contraryAttribute False True)
(documentation False EnglishLanguage "The &%TruthValue of being false.")

(subrelation truth property)
(instance truth BinaryPredicate)
(domain truth 1 Sentence)
(domain truth 2 TruthValue)
(documentation truth EnglishLanguage "The &%BinaryPredicate that relates a &%Sentence
to its &%TruthValue.")

(subclass PositionalAttribute RelationalAttribute)
(documentation PositionalAttribute EnglishLanguage "&%Attributes characterizing the
orientation of an &%Object, e.g. &%Vertical versus &%Horizontal, &%Left
versus &%Right etc.")

(subclass DirectionalAttribute PositionalAttribute)
(documentation DirectionalAttribute EnglishLanguage "The subclass of
&%PositionalAttributes that concern compass directions.")

(=>
  (and
    (instance ?DIRECT DirectionalAttribute)
    (orientation ?OBJ1 ?OBJ2 ?DIRECT)
    (orientation ?OBJ2 ?OBJ3 ?DIRECT))
  (between ?OBJ1 ?OBJ2 ?OBJ3))

(instance North DirectionalAttribute)
(contraryAttribute North South East West)
(documentation North EnglishLanguage "The compass direction of &%North.")

(instance South DirectionalAttribute)
(documentation South EnglishLanguage "The compass direction of &%South.")

(<=>
   (orientation ?OBJ1 ?OBJ2 North)
   (orientation ?OBJ2 ?OBJ1 South))

(instance East DirectionalAttribute)
(documentation East EnglishLanguage "The compass direction of &%East.")

(instance West DirectionalAttribute)
(documentation West EnglishLanguage "The compass direction of &%West.")

(<=>
   (orientation ?OBJ1 ?OBJ2 East)
   (orientation ?OBJ2 ?OBJ1 West))

(instance Vertical PositionalAttribute)
(documentation Vertical EnglishLanguage "Attribute used to indicate that an &%Object
is positioned height-wise with respect to another &%Object.")

(<=>
   (orientation ?OBJ1 ?OBJ2 Vertical)
   (orientation ?OBJ2 ?OBJ1 Vertical))

(instance Horizontal PositionalAttribute)
(contraryAttribute Horizontal Vertical)
(documentation Horizontal EnglishLanguage "Attribute used to indicate that an &%Object
is positioned width-wise with respect to another &%Object.")

(<=>
   (orientation ?OBJ1 ?OBJ2 Horizontal)
   (orientation ?OBJ2 ?OBJ1 Horizontal))

(subclass SymmetricPositionalAttribute PositionalAttribute)
(documentation SymmetricPositionalAttribute EnglishLanguage "&%SymmetricAttribute is the
class of &%PositionalAttribute that hold between two items regardless of their
order or orientation.")

(=>
  (and
    (instance ?P SymmetricPositionalAttribute)
    (orientation ?O1 ?O2 ?P))
  (orientation ?O2 ?O1 ?P))

(subclass AntiSymmetricPositionalAttribute PositionalAttribute)
(documentation AntiSymmetricPositionalAttribute EnglishLanguage
"&%AntiSymmetricPositionalAttribute is the class of &%PositionalAttribute that hold in
only one direction.  I.e. two objects cannot simulataneously be &%On each other.")

(=>
  (and
    (instance ?P AntiSymmetricPositionalAttribute)
    (orientation ?O1 ?O2 ?P))
  (not (orientation ?O2 ?O1 ?P)))

(instance Above PositionalAttribute)
(instance Above AntiSymmetricPositionalAttribute)
(contraryAttribute Above Below)
(documentation Above EnglishLanguage "This is a &%PositionalAttribute derived from the
up/down schema and not involving contact.  Note that this means directly
above, i.e., if one object is &%Above another object, then the projections
of the two objects overlap.")

(=>
   (orientation ?OBJ1 ?OBJ2 Above)
   (not
      (connected ?OBJ1 ?OBJ2)))

(instance Below PositionalAttribute)
(instance Below AntiSymmetricPositionalAttribute)
(documentation Below EnglishLanguage "This &%PositionalAttribute is derived from the
up/down schema and may or may not involve contact.  Note that this means
directly below, i.e., if one object is &%Below another object, then the
projections of the two objects overlap.")

(<=>
   (orientation ?OBJ1 ?OBJ2 Below)
   (or
      (orientation ?OBJ2 ?OBJ1 On)
      (orientation ?OBJ2 ?OBJ1 Above)))

(instance Adjacent SymmetricPositionalAttribute)
(documentation Adjacent EnglishLanguage "Used to assert that an object ?OBJ1 is close
to, near or abutting ?OBJ2.  This &%PositionalAttribute covers the
following common sense notions:  adjoins, abuts, is contiguous to,
is juxtaposed, and is close to.")

(<=>
   (orientation ?OBJ1 ?OBJ2 Adjacent)
   (or
      (orientation ?OBJ1 ?OBJ2 Near)
      (connected ?OBJ1 ?OBJ2)))

(instance Left PositionalAttribute)
(instance Left AntiSymmetricPositionalAttribute)
(documentation Left EnglishLanguage "This &%PositionalAttribute is derived from the
left/right schema.  Note that this means directly to the left, so that,
if one object is to the left of another, then the projections of the
two objects overlap.")

(instance Right PositionalAttribute)
(instance Right AntiSymmetricPositionalAttribute)
(contraryAttribute Right Left)
(documentation Right EnglishLanguage "This &%PositionalAttribute is derived from the
left/right schema.  Note that this means directly to the right, so that,
if one object is to the right of another, then the projections of the
two objects overlap.")

(<=>
   (orientation ?OBJ1 ?OBJ2 Right)
   (orientation ?OBJ2 ?OBJ1 Left))

(instance Near SymmetricPositionalAttribute)
(documentation Near EnglishLanguage "The relation of common sense adjacency.  Note that,
if an object is &%Near another object, then the objects are not &%connected.")

(=>
   (orientation ?OBJ1 ?OBJ2 Near)
   (not
      (connected ?OBJ1 ?OBJ2)))

(=>
   (orientation ?OBJ1 ?OBJ2 Near)
   (orientation ?OBJ2 ?OBJ1 Near))

(instance On AntiSymmetricPositionalAttribute)
(documentation On EnglishLanguage "This is used to assert that an object is on top of
another object, and it is derived from the up/down schema and involves
contact.")

(=>
   (orientation ?OBJ1 ?OBJ2 On)
   (connected ?OBJ1 ?OBJ2))

(=>
   (orientation ?OBJ1 ?OBJ2 On)
   (located ?OBJ1 ?OBJ2))

(=>
   (orientation ?OBJ1 ?OBJ2 Inside)
   (located ?OBJ1 ?OBJ2))

(=>
   (orientation ?OBJ1 ?OBJ2 On)
   (not
      (orientation ?OBJ2 ?OBJ1 On)))

(subclass TimeZone RelationalAttribute)
(documentation TimeZone EnglishLanguage "An &%Attribute which is used to specify
coordinates in which time measures are uniform, i.e. all time devices are synchronized to
the same &%TimePositions.")

(instance CoordinatedUniversalTimeZone TimeZone)
(documentation CoordinatedUniversalTimeZone EnglishLanguage "A &%TimeZone which functions
as the standard time zone.  It is also known as Zulu time (in the military),
Greenwich Mean Time, and the Western European time zone.  Note that whenever
a &%TimeZone is not specified, the &%TimePosition is understood to be with
respect to the &%CoordinatedUniversalTimeZone.")

(instance PacificTimeZone TimeZone)
(documentation PacificTimeZone EnglishLanguage "A &%TimeZone that covers much of the
western part of the United States.")

(=>
   (equal
     (RelativeTimeFn
       (HourFn ?H1
         (DayFn ?D
           (MonthFn ?M
             (YearFn ?Y)))) PacificTimeZone)
     (HourFn ?H2
       (DayFn ?D
         (MonthFn ?M
           (YearFn ?Y)))))
   (equal ?H2
     (AdditionFn ?H1 8)))

(instance MountainTimeZone TimeZone)
(documentation MountainTimeZone EnglishLanguage "A &%TimeZone that covers much of the
Rocky Mountain region of the United States.")

(=>
  (equal
    (RelativeTimeFn
      (HourFn ?H1
        (DayFn ?D
          (MonthFn ?M
            (YearFn ?Y)))) MountainTimeZone)
    (HourFn ?H2
      (DayFn ?D
        (MonthFn ?M
          (YearFn ?Y)))))
  (equal ?H2
    (AdditionFn ?H1 7)))

(instance CentralTimeZone TimeZone)
(documentation CentralTimeZone EnglishLanguage "A &%TimeZone that covers much of the
midwestern United States.")

(=>
  (equal
    (RelativeTimeFn
      (HourFn ?H1
        (DayFn ?D
          (MonthFn ?M
            (YearFn ?Y)))) CentralTimeZone)
    (HourFn ?H2
      (DayFn ?D
        (MonthFn ?M
          (YearFn ?Y)))))
  (equal ?H2
    (AdditionFn ?H1 6)))

(instance EasternTimeZone TimeZone)
(documentation EasternTimeZone EnglishLanguage "A &%TimeZone that covers much of the
eastern United States.")

(=>
  (equal
    (RelativeTimeFn
      (HourFn ?H1
        (DayFn ?D
          (MonthFn ?M
            (YearFn ?Y)))) EasternTimeZone)
    (HourFn ?H2
      (DayFn ?D
        (MonthFn ?M
          (YearFn ?Y)))))
  (equal ?H2
    (AdditionFn ?H1 5)))

(instance RelativeTimeFn BinaryFunction)
(instance RelativeTimeFn TemporalRelation)
(instance RelativeTimeFn TotalValuedRelation)
(domain RelativeTimeFn 1 TimePosition)
(domain RelativeTimeFn 2 TimeZone)
(range RelativeTimeFn TimePosition)
(documentation RelativeTimeFn EnglishLanguage "A means of converting &%TimePositions
between different &%TimeZones.  (&%RelativeTimeFn ?TIME ?ZONE)
denotes the &%TimePosition in &%CoordinatedUniversalTime that is
contemporaneous with the &%TimePosition ?TIME in &%TimeZone ?ZONE.
For example, (&%RelativeTimeFn (&%MeasureFn 14 &%HourDuration) &%EasternTimeZone)
would return the value (&%MeasureFn 19 &%HourDuration).")

(subclass SocialRole RelationalAttribute)
(documentation SocialRole EnglishLanguage "The &%Class of all &%Attributes that
specify the position or status of a &%CognitiveAgent within an
&%Organization or other &%Group.")

(=>
   (and
      (attribute ?PERSON ?ATTRIBUTE)
      (instance ?ATTRIBUTE SocialRole))
   (instance ?PERSON Human))

(instance Unemployed SocialRole)
(documentation Unemployed EnglishLanguage "The &%Attribute of a &%CognitiveAgent when
he/she is unemployed.")

(<=>
  (holdsDuring ?T
    (and
      (instance ?PERSON Human)
      (forall (?ORG)
         (not
            (employs ?ORG ?PERSON)))))
  (holdsDuring ?T
    (attribute ?PERSON Unemployed)))

(subclass Position SocialRole)
(documentation Position EnglishLanguage "A formal position of responsibility within an
&%Organization. Examples of &%Positions include president, laboratory
director, senior researcher, sales representative, etc.")

(instance occupiesPosition TernaryPredicate)
(domain occupiesPosition 1 Human)
(domain occupiesPosition 2 Position)
(domain occupiesPosition 3 Organization)
(documentation occupiesPosition EnglishLanguage "(&%occupiesPosition ?PERSON ?POSITION ?ORG)
means that ?PERSON holds the &%Position ?POSITION at &%Organization ?ORG.
For example, (&%occupiesPosition &%TomSmith &%ResearchDirector
&%AcmeLaboratory) means that &%TomSmith is a research director at Acme Labs.")

(=>
  (occupiesPosition ?AGENT ?POSITION ?ORG)
  (attribute ?AGENT ?POSITION))

(=>
   (employs ?ORG ?PERSON)
   (exists (?POSITION)
      (occupiesPosition ?PERSON ?POSITION ?ORG)))

(=>
   (occupiesPosition ?PERSON ?POSITION ?ORGANIZATION)
   (member ?PERSON ?ORGANIZATION))

(subclass NormativeAttribute RelationalAttribute)
(documentation NormativeAttribute EnglishLanguage "A &%Class containing all of the
&%Attributes that are specific to morality, legality, aesthetics,
etiquette, etc.  Many of these attributes express a judgement that
something ought or ought not to be the case.")

(instance modalAttribute BinaryPredicate)
(instance modalAttribute AsymmetricRelation)
(instance modalAttribute IrreflexiveRelation)
(instance modalAttribute PartialValuedRelation)
(subrelation modalAttribute property)
(domain modalAttribute 1 Formula)
(domain modalAttribute 2 NormativeAttribute)
(documentation modalAttribute EnglishLanguage "A &%BinaryRelation that is used to state
the normative force of a &%Proposition.  (&%modalAttribute ?FORMULA ?PROP) means
that the &%Proposition expressed by ?FORMULA has the &%NormativeAttribute
?PROP.  For example, (&%modalAttribute (&%exists (?ACT ?OBJ) (&%and
(&%instance ?ACT &%Giving) (&%agent ?ACT John) (&%patient ?ACT ?OBJ)
(&%destination ?ACT Tom))) &%Obligation) means that John is obligated to give
Tom something.")

(=>
   (and
      (modalAttribute ?FORMULA1 ?PROP)
      (entails ?FORMULA1 ?FORMULA2))
   (modalAttribute ?FORMULA2 ?PROP))

(=>
    (modalAttribute ?FORMULA Permission)
    (modalAttribute ?FORMULA Possibility))

(subclass SubjectiveAssessmentAttribute NormativeAttribute)
(disjoint SubjectiveAssessmentAttribute ObjectiveNorm)
(documentation SubjectiveAssessmentAttribute EnglishLanguage "The &%Class of &%NormativeAttributes
which lack an objective criterion for their attribution, i.e. the attribution of
these &%Attributes varies from subject to subject and even with respect to the
same subject over time.  This &%Class is, generally speaking, only used when
mapping external knowledge sources to the SUMO.  If a term from such a knowledge
source seems to lack objective criteria for its attribution, it is assigned to
this &%Class.")

(=>
    (and
        (attribute ?OBJ ?ATR)
        (instance ?ATR SubjectiveAssessmentAttribute))
    (exists (?TIME ?JUDGE ?AGENT)
    (and
          (instance ?JUDGE Judging)
          (agent ?JUDGE ?AGENT)
          (patient ?JUDGE ?OBJ)
          (patient ?JUDGE
                (attribute ?OBJ ?ATR))
          (holdsDuring ?TIME
            (believes ?AGENT
              (property ?OBJ ?ATR))))))

(subclass SubjectiveStrongPositiveAttribute SubjectiveAssessmentAttribute)
(documentation SubjectiveStrongPositiveAttribute EnglishLanguage "The &%Class
of &%NormativeAttributes which lack an objective criterion for their
attribution, though statistically tends to be used in a strongly positive sense.
 This &%Class is, generally speaking, only used when mapping external knowledge
sources to the SUMO.  If a term from such a knowledge source seems to lack objective
criteria for its attribution, it is assigned to this &%Class.")

(subclass SubjectiveWeakPositiveAttribute SubjectiveAssessmentAttribute)

(documentation SubjectiveWeakPositiveAttribute EnglishLanguage "The &%Class
of &%NormativeAttributes which lack an objective criterion for their
attribution, though statistically tends to be used in a weakly positive sense.
 This &%Class is, generally speaking, only used when mapping external knowledge
sources to the SUMO.  If a term from such a knowledge source seems to lack objective
criteria for its attribution, it is assigned to this &%Class.")

(subclass SubjectiveStrongNegativeAttribute SubjectiveAssessmentAttribute)
(documentation SubjectiveStrongNegativeAttribute EnglishLanguage "The &%Class
of &%NormativeAttributes which lack an objective criterion for their
attribution, though statistically tends to be used in a strongly negative sense.
 This &%Class is, generally speaking, only used when mapping external knowledge
sources to the SUMO.  If a term from such a knowledge source seems to lack objective
criteria for its attribution, it is assigned to this &%Class.")

(subclass SubjectiveWeakNegativeAttribute SubjectiveAssessmentAttribute)
(documentation SubjectiveWeakNegativeAttribute EnglishLanguage "The &%Class
of &%NormativeAttributes which lack an objective criterion for their
attribution, though statistically tends to be used in a weakly negative sense.
 This &%Class is, generally speaking, only used when mapping external knowledge
sources to the SUMO.  If a term from such a knowledge source seems to lack objective
criteria for its attribution, it is assigned to this &%Class.")

(subclass ObjectiveNorm NormativeAttribute)
(documentation ObjectiveNorm EnglishLanguage "The &%Class of &%NormativeAttributes that
are associated with an objective criterion for their attribution, i.e. there is
broad consensus about the cases where these attributes are applicable.")

(subclass ContestAttribute ObjectiveNorm)
(documentation ContestAttribute EnglishLanguage "A &%Class containing &%Attributes that
are specific to participants in a &%Contest.  In particular, these &%Attributes
indicate the position of one of the &%agents in the &%Contest with respect
to other &%agent(s) in the &%Contest.   Some examples of these &%Attributes
are winning, losing, won, lost, etc.")

(=>
   (and
      (property ?THING ?ATTR)
      (instance ?ATTR ContestAttribute))
   (exists (?CONTEST)
      (and
         (instance ?CONTEST Contest)
         (or
            (agent ?CONTEST ?THING)
            (patient ?CONTEST ?THING)
            (subProcess ?THING ?CONTEST)))))

(subclass AlethicAttribute ObjectiveNorm)
(documentation AlethicAttribute EnglishLanguage "A &%Class containing all of the
&%Attributes relating to the notions of possibility and necessity.")

(instance Possibility AlethicAttribute)
(documentation Possibility EnglishLanguage "Attribute that applies to &%Propositions that
are possible, i.e. true in at least one possible world.")

(instance Necessity AlethicAttribute)
(documentation Necessity EnglishLanguage "Attribute that applies to &%Propositions that
are necessary, i.e. true in every possible world.")

(<=>
   (modalAttribute ?FORMULA Necessity)
   (not (modalAttribute (not ?FORMULA) Possibility)))

(=>
   (modalAttribute ?FORMULA Necessity)
   (modalAttribute ?FORMULA Possibility))

(instance holdsRight BinaryPredicate)
(instance holdsRight AsymmetricRelation)
(domain holdsRight 1 Formula)
(domain holdsRight 2 CognitiveAgent)
(documentation holdsRight EnglishLanguage "Expresses a relationship between a &%Formula
and a &%CognitiveAgent whereby the &%CognitiveAgent has the right to
bring it about that the &%Formula is true.")

(instance confersRight TernaryPredicate)
(domain confersRight 1 Formula)
(domain confersRight 2 Entity)
(domain confersRight 3 CognitiveAgent)
(documentation confersRight EnglishLanguage "Expresses the relationship between a
&%Formula, an &%Entity, and a &%CognitiveAgent when the &%Entity authorizes the
&%CognitiveAgent to bring it about that the &%Formula is true.")

(=>
   (confersRight ?FORMULA ?AGENT1 ?AGENT2)
   (holdsRight ?FORMULA ?AGENT2))

(instance holdsObligation BinaryPredicate)
(instance holdsObligation AsymmetricRelation)
(domain holdsObligation 1 Formula)
(domain holdsObligation 2 CognitiveAgent)
(relatedInternalConcept holdsObligation holdsRight)
(documentation holdsObligation EnglishLanguage "Expresses a relationship between a
&%Formula and a &%CognitiveAgent whereby the &%CognitiveAgent has
the obligation to bring it about that the &%Formula is true.")

(instance confersObligation TernaryPredicate)
(domain confersObligation 1 Formula)
(domain confersObligation 2 Entity)
(domain confersObligation 3 CognitiveAgent)
(relatedInternalConcept confersObligation confersRight)
(documentation confersObligation EnglishLanguage "Expresses the relationship between a
a &%Formula, an &%Entity, and a &%CognitiveAgent when the &%Entity
obligates the &%CognitiveAgent to bring it about that the &%Formula is
true.")

(=>
   (confersObligation ?FORMULA ?AGENT1 ?AGENT2)
   (holdsObligation ?FORMULA ?AGENT2))

(subclass DeonticAttribute ObjectiveNorm)
(documentation DeonticAttribute EnglishLanguage "A &%Class containing all of the
&%Attributes relating to the notions of permission, obligation, and prohibition.")

(instance Permission DeonticAttribute)
(documentation Permission EnglishLanguage "&%Attribute that applies to &%Propositions that
an &%Agent is permitted, by some authority, to make true.")

(instance Obligation DeonticAttribute)
(documentation Obligation EnglishLanguage "&%Attribute that applies to &%Propositions that
an &%Agent is required, by some authority, to make true.")

(<=>
   (modalAttribute ?FORMULA Obligation)
   (not (modalAttribute (not ?FORMULA) Permission)))

(=>
   (modalAttribute ?FORMULA Obligation)
   (modalAttribute ?FORMULA Permission))

(subAttribute Law Obligation)
(instance Law DeonticAttribute)
(documentation Law EnglishLanguage "&%Attribute that applies to &%Propositions that are
required by a government or a branch of the government and that are enforced
with penalties for noncompliance.  These &%Propositions may be codified as
legislation or they may be more informal, as in the case of government policy.")

(subAttribute Promise Obligation)
(documentation Promise EnglishLanguage "&%Attribute that applies to &%Propositions that
an &%Agent promises to make true.  &%Promises may be implicit or explicit.
They may be expressed in a written or verbal or gestural manner.")

;; KJN: Moving this to Mid-level-ontology as the definition for Contract is all there.
;;(=>
;;   (property ?ENTITY Promise)
;;      (or
;;         (property ?ENTITY Contract)
;;         (property ?ENTITY NakedPromise)))

;;(subAttribute NakedPromise Promise)
;;(documentation NakedPromise EnglishLanguage "A &%Promise where nothing is promised in return,
;;i.e. a nudum pactum.")

(instance Prohibition DeonticAttribute)
(documentation Prohibition EnglishLanguage "&%Prohibition is the &%DeonticAttribute that
applies to &%Formulas that an &%Agent is forbidden, by some authority,
to make true.")

(<=>
  (modalAttribute ?FORMULA Prohibition)
  (not (modalAttribute ?FORMULA Permission)))

(subclass ProbabilityAttribute ObjectiveNorm)
(documentation ProbabilityAttribute EnglishLanguage "A class containing all of the
&%Attributes relating to objective, qualitative assessments of probability, e.g. &%Likely
and &%Unlikely.")

(instance Likely ProbabilityAttribute)
(contraryAttribute Likely Unlikely)
(documentation Likely EnglishLanguage "The &%ProbabilityAttribute of being probable, i.e.
more likely than not to be &%True.")

(=>
   (modalAttribute ?FORMULA Likely)
   (greaterThan (ProbabilityFn (truth ?FORMULA True)) (ProbabilityFn (truth ?FORMULA False))))

(instance Unlikely ProbabilityAttribute)
(documentation Unlikely EnglishLanguage "The &%ProbabilityAttribute of being improbable,
i.e. more likely than not to be &%False.")

(=>
   (modalAttribute ?FORMULA Unlikely)
   (greaterThan (ProbabilityFn (truth ?FORMULA False)) (ProbabilityFn (truth ?FORMULA True))))

(subclass PhysicalState InternalAttribute)
(contraryAttribute Solid Liquid Gas Plasma)
(exhaustiveAttribute PhysicalState Solid Fluid Liquid Gas Plasma)
(documentation PhysicalState EnglishLanguage "The physical state of an &%Object.  There
are three reified instances of this &%Class:  &%Solid, &%Liquid, and &%Gas.
Physical changes are not characterized by the transformation of one
substance into another, but rather by the change of the form (physical
states) of a given substance.  For example, melting an iron nail yields a
substance still called iron.")

(instance Solid PhysicalState)
(documentation Solid EnglishLanguage "An &%Object has the &%Attribute of &%Solid if it
has a fixed shape and a fixed volume.")

(instance Fluid PhysicalState)
(documentation Fluid EnglishLanguage "&%Fluid is the &%PhysicalState attribute of an
&%Object that does not have a fixed shape and thus tends to flow or to
conform to the shape of a container.")

(instance Liquid PhysicalState)
(subAttribute Liquid Fluid)
(documentation Liquid EnglishLanguage "An &%Object has the &%Attribute of &%Liquid if
it has a fixed volume but not a fixed shape.")

(=>
   (instance ?OBJ Solution)
   (attribute ?OBJ Liquid))

(instance Gas PhysicalState)
(subAttribute Gas Fluid)
(documentation Gas EnglishLanguage "An &%Object has the &%Attribute of &%Gas if it has
neither a fixed volume nor a fixed shape.")

(=>
   (instance ?OBJ Substance)
   (exists (?ATTR)
      (and
         (instance ?ATTR PhysicalState)
         (attribute ?OBJ ?ATTR))))

(=>
  (and
    (instance ?ATTR PhysicalState)
    (attribute ?OBJ ?ATTR))
  (instance ?OBJ Substance))

(instance Plasma PhysicalState)
(subAttribute Plasma Fluid)
(documentation Plasma EnglishLanguage "An extremely energetic &%PhysicalState that
consists of atomic nuclei stripped of electrons.  That is, a plasma is composed of
positive ions and free electrons.  &%Plasma behaves differently enough from
&%Gas that it is referred to as the fourth state of matter.")

;; NS: delete.  Instances of SoundAttribute should also be instances
;; of PerceptualAttribute, but SoundAttribute is a subclass of
;; RelationalAttribute, not of InternalAttribute.  Some
;; PerceptualAttributes are InternalAttributes.  Others are
;; RelationalAttributes.
;; (subclass PerceptualAttribute InternalAttribute)

;; NS: add.
;(subclass PerceptualAttribute Attribute)
;;MSv: NS's change was conflicting with the partition of Attribute.
;;PerceptualAttributes are reclassified as subclass of RelationalAttribute.
(subclass PerceptualAttribute RelationalAttribute)
(documentation PerceptualAttribute EnglishLanguage "Any &%Attribute whose presence is
detected by an act of &%Perception.")

(=>
   (and
      (instance ?PERCEPTION Perception)
      (patient ?PERCEPTION ?OBJ))
   (exists (?PROP)
      (and
         (instance ?PROP PerceptualAttribute)
         (attribute ?OBJ ?PROP))))

(subclass TasteAttribute PerceptualAttribute)
(documentation TasteAttribute EnglishLanguage "The &%Class of &%Attributes relating to
the taste of &%Objects.")

(=>
   (instance ?OBJ (FoodForFn Animal))
   (exists (?ATTR)
      (and
         (instance ?ATTR TasteAttribute)
         (attribute ?OBJ ?ATTR))))

(subclass OlfactoryAttribute PerceptualAttribute)
(documentation OlfactoryAttribute EnglishLanguage "The &%Class of properties that are
detectable by smell.")

(subclass VisualAttribute PerceptualAttribute)
(documentation VisualAttribute EnglishLanguage "The &%Class of visually discernible
properties.")

(instance Illuminated VisualAttribute)
(documentation Illuminated EnglishLanguage "The &%Attribute of &%Regions that are
illuminated to some degree, i.e. in which some shapes are visually
discernable.")

(instance Unilluminated VisualAttribute)
(contraryAttribute Unilluminated Illuminated)
(documentation Unilluminated EnglishLanguage "The &%Attribute of &%Regions that are
unilluminated, i.e in which no shapes are visually discernable.")

;; NS: delete.
;; (subclass ColorAttribute InternalAttribute)

;; NS: add.
(subclass ColorAttribute VisualAttribute)

(documentation ColorAttribute EnglishLanguage "The &%Class of &%Attributes relating to the
color of &%Objects.")

(subclass PrimaryColor ColorAttribute)
(documentation PrimaryColor EnglishLanguage "Colors which can be blended to form any
color and which cannot be derived from any other colors.")

(instance Red PrimaryColor)
(documentation Red EnglishLanguage "The &%Attribute of redness.")

(instance Blue PrimaryColor)
(documentation Blue EnglishLanguage "The &%Attribute of being blue in color.")

(instance Yellow PrimaryColor)
(documentation Yellow EnglishLanguage "The &%Attribute of being yellow in color.")

(instance White PrimaryColor)
(documentation White EnglishLanguage "The &%Attribute of being white in color.")

(instance Black PrimaryColor)
(documentation Black EnglishLanguage "The &%Attribute of being black in color.")

(instance Monochromatic ColorAttribute)
(documentation Monochromatic EnglishLanguage "An &%Object with this &%Attribute has
the same color on every part of its surface.")

(=>
   (and
      (attribute ?OBJ Monochromatic)
      (superficialPart ?PART ?OBJ)
      (attribute ?PART ?COLOR)
      (instance ?COLOR PrimaryColor))
   (forall (?ELEMENT)
      (=>
         (superficialPart ?ELEMENT ?OBJ)
         (attribute ?ELEMENT ?COLOR))))

(=>
   (instance ?OBJ Object)
   (or
      (attribute ?OBJ Monochromatic)
      (attribute ?OBJ Polychromatic)))

(instance Polychromatic ColorAttribute)
(contraryAttribute Polychromatic Monochromatic)
(documentation Polychromatic EnglishLanguage "An &%Object with this &%Attribute has
different colors on different parts of its surface.")

(=>
   (attribute ?OBJ Polychromatic)
   (exists (?PART1 ?PART2 ?COLOR1 ?COLOR2)
      (and
         (superficialPart ?PART1 ?OBJ)
         (superficialPart ?PART2 ?OBJ)
         (attribute ?PART1 ?COLOR1)
         (attribute ?PART2 ?COLOR2)
         (instance ?COLOR1 ColorAttribute)
         (instance ?COLOR2 ColorAttribute)
         (not (equal ?COLOR1 ?COLOR2)))))

;; KJN: Moved in from Media.kif
(subclass StructureAttribute InternalAttribute)
(documentation StructureAttribute EnglishLanguage "Each &%subclass of &%StructureAttribute
denotes some facet of the structure of physical entities.  Each &%instance of
&%StructureAttribute denotes some structural characteristic that may pertain to some
&%Physical entity.")

(subclass ShapeAttribute StructureAttribute)

;; KJN: Delete as StructureAttribute already subclasses from InternalAttribute
;;(subclass ShapeAttribute InternalAttribute)
(documentation ShapeAttribute EnglishLanguage "Any &%Attribute that relates to the
shape of an &%Object.")

(=>
   (and
      (instance ?ATTRIBUTE ShapeAttribute)
      (attribute ?OBJ ?ATTRIBUTE)
      (surface ?SURFACE ?OBJ))
   (attribute ?SURFACE ?ATTRIBUTE))
(instance Pliable InternalAttribute)
(documentation Pliable EnglishLanguage "The shape of an &%Object with this &%Attribute
can easily be altered.")

(=>
  (and
    (instance ?OBJ Object)
    (attribute ?OBJ Pliable))
  (exists (?CHANGE)
    (and
      (instance ?CHANGE ShapeChange)
      (patient ?CHANGE ?OBJ))))

(instance Rigid InternalAttribute)
(contraryAttribute Rigid Pliable)
(documentation Rigid EnglishLanguage "The shape of an &%Object with this &%Attribute
cannot be altered without breaking.")

(documentation TextureAttribute EnglishLanguage "Any &%Attribute that characterizes the
texture of an &%Object.")
(subclass TextureAttribute PerceptualAttribute)

(=>
   (and
      (instance ?ATTRIBUTE TextureAttribute)
      (attribute ?OBJ ?ATTRIBUTE)
      (surface ?SURFACE ?OBJ))
   (attribute ?SURFACE ?ATTRIBUTE))

(instance Smooth TextureAttribute)
(documentation Smooth EnglishLanguage "An &%Object with this &%Attribute has a smooth
surface.")

(instance Rough TextureAttribute)
(contraryAttribute Smooth Rough)
(documentation Rough EnglishLanguage "An &%Object with this &%Attribute has a rough
surface.")

(subclass GeometricFigure ShapeAttribute)
(partition GeometricFigure GeometricPoint OneDimensionalFigure TwoDimensionalFigure ThreeDimensionalFigure)
(documentation GeometricFigure EnglishLanguage "The class of all geometric figures, i.e.
the class of all abstract, spatial representations.  The instances of this class
are &%GeometricPoints, &%TwoDimensionalFigures or &%ThreeDimensionalFigures.")

(subclass GeometricPoint GeometricFigure)
(documentation GeometricPoint EnglishLanguage "The class of zero-dimensional
&%GeometricFigures, i.e. the class of &%GeometricFigures that have position
but lack extension in any dimension.")

(subclass OneDimensionalFigure GeometricFigure)
(documentation OneDimensionalFigure EnglishLanguage "The class of &%GeometricFigures that
have position and an extension along a single dimension, viz. straight lines.")

(subclass TwoDimensionalFigure GeometricFigure)
(partition TwoDimensionalFigure OpenTwoDimensionalFigure ClosedTwoDimensionalFigure)
(documentation TwoDimensionalFigure EnglishLanguage "The class of &%GeometricFigures that
have position and an extension along two dimensions, viz. plane figures
like circles and polygons.")

(subclass OpenTwoDimensionalFigure TwoDimensionalFigure)
(documentation OpenTwoDimensionalFigure EnglishLanguage "The class of
&%TwoDimensionalFigures that are not &%ClosedTwoDimensionalFigures.")

(subclass TwoDimensionalAngle OpenTwoDimensionalFigure)
(documentation TwoDimensionalAngle EnglishLanguage "Any two &%OneDimensionalFigures (i.e.
straight lines) meeting at a single &%GeometricPoint.")

(subclass ClosedTwoDimensionalFigure TwoDimensionalFigure)
(documentation ClosedTwoDimensionalFigure EnglishLanguage "Any &%TwoDimensionalFigure
which has a well defined interior and exterior.")

(subclass ThreeDimensionalFigure GeometricFigure)
(documentation ThreeDimensionalFigure EnglishLanguage "The class of &%GeometricFigures
that have position and an extension along three dimensions, viz. geometric solids
like polyhedrons and cylinders.")

(instance geometricPart BinaryPredicate)
(instance geometricPart PartialOrderingRelation)
(domain geometricPart 1 GeometricFigure)
(domain geometricPart 2 GeometricFigure)
(documentation geometricPart EnglishLanguage "(&%geometricPart ?PART ?WHOLE) means that
the &%GeometricFigure ?PART is part of the &%GeometricFigure ?WHOLE.")

(subrelation pointOfFigure geometricPart)
(instance pointOfFigure BinaryPredicate)
(domain pointOfFigure 1 GeometricPoint)
(domain pointOfFigure 2 GeometricFigure)
(documentation pointOfFigure EnglishLanguage "(&%pointOfFigure ?POINT ?FIGURE) means that
the &%GeometricPoint ?POINT is part of the &%GeometricFigure ?FIGURE.")

(subrelation angleOfFigure geometricPart)
(instance angleOfFigure BinaryPredicate)
(domain angleOfFigure 1 TwoDimensionalAngle)
(domain angleOfFigure 2 GeometricFigure)
(documentation angleOfFigure EnglishLanguage "(&%angleOfFigure ?ANGLE ?FIGURE) means that
the &%TwoDimensionalAngle ?ANGLE is part of the &%GeometricFigure ?FIGURE.")

(instance pointOfIntersection TernaryPredicate)
(domain pointOfIntersection 1 OneDimensionalFigure)
(domain pointOfIntersection 2 OneDimensionalFigure)
(domain pointOfIntersection 3 GeometricPoint)
(documentation pointOfIntersection EnglishLanguage "(&%pointOfIntersection ?FIGURE1 ?FIGURE2 ?POINT) means that the two straight lines ?FIGURE1 and ?FIGURE2 meet at the
point ?POINT.")

(=>
   (pointOfIntersection ?FIGURE1 ?FIGURE2 ?POINT)
   (and
      (pointOfFigure ?POINT ?FIGURE1)
      (pointOfFigure ?POINT ?FIGURE2)))

(instance parallel BinaryPredicate)
(domain parallel 1 OneDimensionalFigure)
(domain parallel 2 OneDimensionalFigure)
(documentation parallel EnglishLanguage "(&%parallel ?LINE1 ?LINE2) means that the
&%OneDimensionalFigures ?LINE1 and ?LINE2 are parallel to one another,
i.e. they are equidistant from one another at every point.")

(=>
  (parallel ?LINE1 ?LINE2)
  (not
    (exists (?POINT)
      (pointOfIntersection ?LINE1 ?LINE2 ?POINT))))

(instance angularMeasure BinaryPredicate)
(instance angularMeasure TotalValuedRelation)
(domain angularMeasure 1 TwoDimensionalAngle)
(domain angularMeasure 2 RealNumber)
(documentation angularMeasure EnglishLanguage "(&%angularMeasure ?ANGLE ?MEASURE) means
that the two-dimensional geometric angle ?ANGLE has ?MEASURE.")

(instance relativeAngle TernaryPredicate)
(instance relativeAngle TotalValuedRelation)
(domain relativeAngle 1 Object)
(domain relativeAngle 2 Object)
(domain relativeAngle 3 RealNumber)
(documentation relativeAngle EnglishLanguage "(&%relativeAngle ?O1 ?O2 ?MEASURE) means
that the two-dimensional geometric angle formed by ?O1 and ?O2 has ?MEASURE.")
(termFormat EnglishLanguage relativeAngle "relative angle")
(format EnglishLanguage relativeAngle "the relative &%angle between %1 and %2 is %3")

(=>
  (and
    (instance ?L1 Object)
    (attribute ?L1 LongAndThin)
    (instance ?L2 Object)
    (attribute ?L2 LongAndThin)
    (connected ?L1 ?L2)
    (not
      (equal ?L1 ?L2)))
  (exists (?M)
    (relativeAngle ?L1 ?L2 ?M)))

(=>
  (relativeAngle ?L1 ?L2 ?M)
  (and
    (instance ?L1 Object)
    (attribute ?L1 LongAndThin)
    (instance ?L2 Object)
    (attribute ?L2 LongAndThin)
    (connected ?L1 ?L2)
    (not
      (equal ?L1 ?L2))))

; arccos((n3^2-n1^2-n2^2)/2*n1*n2)
(=>
  (and
    (relativeAngle ?O1 ?O2 ?N)
    (physicalEnd ?E1 ?O1)
    (physicalEnd ?E2 ?O1)
    (not
      (equal ?E1 ?E2))   
    (length ?O1 (MeasureFn ?N1 ?U))
    (length ?O2 (MeasureFn ?N2 ?U))
    (distance ?E1 ?E3 (MeasureFn ?N3 ?U))
    (physicalEnd ?E3 ?O2)
    (physicalEnd ?E4 ?O2)
    (not
      (equal ?E3 ?E4))
    (not
      (meetsSpatially ?E1 ?E3)))
  (equal ?N
    (ArcCosineFn
      (DivisionFn
        (SubtractionFn
          (SubtractionFn
            (MultiplicationFn ?N3 ?N3)
            (MultiplicationFn ?N1 ?N1))
          (MultiplicationFn ?N2 ?N2))
        (MultiplicationFn 2.0
         (MultiplicationFn ?N1 ?N2))))))
                    
(instance physicalEnd BinaryRelation)
(domain physicalEnd 1 Object)
(domain physicalEnd 2 Object)
(documentation relativeAngle EnglishLanguage "One end of an object, which
is the smallest part of an object that is the longest distance from
the other end.")
(termFormat EnglishLanguage physicalEnd "physical end")
(format EnglishLanguage physicalEnd "one end of %2 is %1")
(subrelation physicalEnd part)

(=>
  (physicalEnd ?P1 ?O)
  (attribute ?O LongAndThin))
 
(=>
  (and
    (physicalEnd ?P1 ?O)
    (physicalEnd ?P2 ?O)
    (not
      (equal ?P1 ?P2))
    (distance ?P1 ?P2 (MeasureFn ?D ?U)))
  (not
    (exists (?OP1 ?OP2 ?N2)
      (and
        (physicalEnd ?OP1 ?O)
        (physicalEnd ?OP2 ?O)
        (not
          (equal ?OP1 ?OP2))
        (distance ?OP1 ?OP2 (MeasureFn ?N2 ?U))
        (greaterThan ?N2 ?D)))))
        
(instance lineMeasure BinaryPredicate)
(instance lineMeasure TotalValuedRelation)
(domain lineMeasure 1 OneDimensionalFigure)
(domain lineMeasure 2 LengthMeasure)
(documentation lineMeasure EnglishLanguage "(&%lineMeasure ?LINE ?MEASURE) means that the
straight line ?LINE has the &%LengthMeasure of ?MEASURE.")

(instance geometricDistance TernaryPredicate)
(instance geometricDistance SingleValuedRelation)
(instance geometricDistance TotalValuedRelation)
(domain geometricDistance 1 GeometricPoint)
(domain geometricDistance 2 GeometricPoint)
(domain geometricDistance 3 LengthMeasure)
(documentation geometricDistance EnglishLanguage "(&%geometricDistance ?POINT1 ?POINT2
?LENGTH) means that ?LENGTH is the distance between the two
&%GeometricPoints ?POINT1 and ?POINT2.")

(=>
   (geometricDistance ?POINT1 ?POINT2 ?LENGTH)
   (geometricDistance ?POINT2 ?POINT1 ?LENGTH))

(subclass SaturationAttribute InternalAttribute)
(documentation SaturationAttribute EnglishLanguage "A &%Class of &%Attributes that
specify, in a qualitative manner, the extent of the presence of one kind of &%Object in
another kind of &%Object.")

(instance Dry SaturationAttribute)
(contraryAttribute Dry Damp)
(documentation Dry EnglishLanguage "An &%Attribute which indicates that the associated
&%Object contains no &%Liquid.")

(=>
   (attribute ?OBJ Dry)
   (not
      (exists (?SUBOBJ)
         (and
            (part ?SUBOBJ ?OBJ)
            (attribute ?SUBOBJ Liquid)))))

(instance Damp SaturationAttribute)
(documentation Damp EnglishLanguage "An &%Attribute which indicates that the associated
&%Object contains some &%Liquid.")

(instance Wet SaturationAttribute)
(subAttribute Wet Damp)
(documentation Wet EnglishLanguage "An &%Attribute which indicates that the
associated &%Object is fully saturated with a &%Liquid, i.e.
every part of the &%Object has a subpart which is a &%Liquid.")

(=>
   (attribute ?OBJ Wet)
   (forall (?PART)
      (=>
         (part ?PART ?OBJ)
         (exists (?SUBPART)
            (and
               (part ?SUBPART ?PART)
               (attribute ?SUBPART Liquid))))))

(subclass BiologicalAttribute InternalAttribute)
(documentation BiologicalAttribute EnglishLanguage "&%Attributes that apply specifically
to instances of &%OrganicObject (&%Organism or &%AnatomicalStructure).")

;; NS: delete.  Many current instances of BiologicalAttribute apply
;; to OrganicObjects that are not Organisms.
;; (=>
;;     (and
;;         (attribute ?ORG ?ATT)
;;         (instance ?ATT BiologicalAttribute))
;;     (instance ?ORG Organism))

;; NS: add.
(=>
    (and
        (attribute ?ORG ?ATT)
        (instance ?ATT BiologicalAttribute))
    (instance ?ORG OrganicObject))

(subclass BodyPosition BiologicalAttribute)
(documentation BodyPosition EnglishLanguage "The class of &%Attributes expressing
configurations of bodies or parts of bodies of animals or humans,
e.g. standing, sitting, kneeling, lying down, etc.")

(=>
   (instance ?ANIMAL Animal)
   (or
      (exists (?MOTION)
         (and
            (instance ?MOTION BodyMotion)
            (agent ?MOTION ?ANIMAL)))
      (exists (?ATTR)
         (and
            (instance ?ATTR BodyPosition)
            (attribute ?ANIMAL ?ATTR)))))

(instance Standing BodyPosition)
(documentation Standing EnglishLanguage "The &%BodyPosition of being upright, i.e. being
fully extended and supported by nothing other than one's own feet.")

(=>
   (and
      (instance ?AMBULATE Ambulating)
      (agent ?AMBULATE ?AGENT))
   (attribute ?AGENT Standing))

(instance Sitting BodyPosition)
(documentation Sitting EnglishLanguage "The &%BodyPosition of being recumbent, i.e.
knees bent and back side supported.")

(instance Prostrate BodyPosition)
(documentation Prostrate EnglishLanguage "The &%BodyPosition of lying down, being in a
horizontal position.")

(subclass AnimacyAttribute BiologicalAttribute)
(exhaustiveAttribute AnimacyAttribute Living Dead)
(documentation AnimacyAttribute EnglishLanguage "&%Attributes that indicate whether an
&%Organism is alive or not.")
(instance Living AnimacyAttribute)
(documentation Living EnglishLanguage "This &%Attribute applies to &%Organisms that are
alive.")

(=>
   (and
      (instance ?ORGANISM Organism)
      (agent ?PROCESS ?ORGANISM))
   (holdsDuring (WhenFn ?PROCESS) (attribute ?ORGANISM Living)))

(instance Dead AnimacyAttribute)
(subAttribute Dead Unconscious)
(contraryAttribute Dead Living)
(documentation Dead EnglishLanguage "This &%Attribute applies to &%Organisms that are
not alive.")

(=>
   (instance ?ORG Organism)
   (exists (?ATTR)
      (and
         (instance ?ATTR AnimacyAttribute)
         (attribute ?ORG ?ATTR))))

(subclass SexAttribute BiologicalAttribute)
(exhaustiveAttribute SexAttribute Female Male)
(documentation SexAttribute EnglishLanguage "&%Attributes that indicate the sex of an
&%Organism.")

(instance Female SexAttribute)
(documentation Female EnglishLanguage "An &%Attribute indicating that an &%Organism is
female in nature.")

(=>
   (and
      (instance ?BODY ReproductiveBody)
      (part ?BODY ?ORG)
      (instance ?ORG Organism))
(attribute ?ORG Female))

(instance Male SexAttribute)
(contraryAttribute Male Female)
(documentation Male EnglishLanguage "An &%Attribute indicating that an &%Organism is
male in nature.")
(=>
   (instance ?ANIMAL Animal)
   (exists (?ATTR)
      (and
         (instance ?ATTR SexAttribute)
         (attribute ?ANIMAL ?ATTR))))

(subclass DevelopmentalAttribute BiologicalAttribute)
(exhaustiveAttribute DevelopmentalAttribute FullyFormed NonFullyFormed)
(documentation DevelopmentalAttribute EnglishLanguage "&%Attributes that indicate the
stage of development of an &%Organism.")

(instance FullyFormed DevelopmentalAttribute)
(documentation FullyFormed EnglishLanguage "The stage of an &%Organism when it has reached
the end of its growth phase.")

(=>
   (attribute ?OBJ FullyFormed)
   (exists (?GROWTH)
      (and
         (instance ?GROWTH Growth)
         (experiencer ?GROWTH ?OBJ)
         (holdsDuring (BeginFn (WhenFn ?OBJ)) (attribute ?OBJ NonFullyFormed)))))

(instance NonFullyFormed DevelopmentalAttribute)
(contraryAttribute NonFullyFormed FullyFormed)
(successorAttribute NonFullyFormed FullyFormed)
(documentation NonFullyFormed EnglishLanguage "The stage of an &%Organism before it is
&%FullyFormed.")

(=>
   (instance ?ORG Organism)
   (exists (?ATTR)
      (and
         (instance ?ATTR DevelopmentalAttribute)
         (attribute ?ORG ?ATTR))))

(subAttribute Larval NonFullyFormed)
(documentation Larval EnglishLanguage "Form of most &%Invertebrates, &%Amphibians, and
&%Fish immediately after they hatch.  This form is fundamentally unlike
the adult form, and metamorphosis is required to reach the latter form.")

;; NS: delete.
;; (=>
;;    (holdsDuring ?TIME (attribute ?ORG Larval))
;;    (holdsDuring
;;      (PastFn ?TIME)
;;        (exists (?BIRTH)
;;          (and
;;            (instance ?BIRTH Birth)
;;            (experiencer ?BIRTH ?ORG)))))

;; NS: add.
(=>
  (and
    (holdsDuring ?TIME (attribute ?ORG Larval))
    (instance ?BIRTH Birth)
    (equal ?BW (WhenFn ?BIRTH))
    (experiencer ?BIRTH ?ORG))
  (meetsTemporally ?BW ?TIME))

(subAttribute Embryonic NonFullyFormed)
(contraryAttribute Embryonic Larval)
(documentation Embryonic EnglishLanguage "The stage of an &%Organism or an
&%AnatomicalStructure that exists only before the &%Organism is born.
&%Mammals, for example, have this &%Attribute only prior to
their birth.")

(=>
   (attribute ?ORG Embryonic)
   (exists (?BODY)
      (and
         (instance ?BODY ReproductiveBody)
         (located ?ORG ?BODY))))

(=>
  (and
    (holdsDuring ?TIME (attribute ?ORG Embryonic))
    (instance ?BIRTH Birth)
    (equal ?BW (WhenFn ?BIRTH))
    (experiencer ?BIRTH ?ORG))
  (not (overlapsTemporally ?TIME ?BW)))

(subclass DiseaseOrSyndrome BiologicalAttribute)
(documentation DiseaseOrSyndrome EnglishLanguage "A &%BiologicalAttribute which qualifies
something that alters or interferes with a normal process, state or activity
of an &%Organism.  It is usually characterized by the abnormal functioning of
one or more of the host's systems, parts, or &%Organs.")

(instance ImpairedBodyPartFn UnaryFunction)
(domainSubclass ImpairedBodyPartFn 1 BodyPart)
(range ImpairedBodyPartFn DiseaseOrSyndrome)
(documentation ImpairedBodyPartFn EnglishLanguage "A &%Function that returns
an instance of ImpairedBodyPartFn that &%refers to a particular &%BodyPart.
For example, a broken leg would be a &%subAttribute of 
(ImpairedBodyPartFn Leg)")

(=>
  (and
    (holdsDuring ?T
      (attribute ?H
        (ImpairedBodyPartFn ?P)))
    (instance ?PI ?P)
    (part ?PI ?H)
    (hasPurpose ?PI ?F))
  (modalAttribute 
    (not ?F) 
    Likely))

(instance DeadOrMissingBodyPartFn UnaryFunction)
(domainSubclass DeadOrMissingBodyPartFn 1 BodyPart)
(range DeadOrMissingBodyPartFn DiseaseOrSyndrome)
(documentation DeadOrMissingBodyPartFn EnglishLanguage "A &%Function that returns
an instance of DeadOrMissingBodyPartFn that &%refers to a particular &%BodyPart.
For example, an amputated leg would be a &%subAttribute of 
(DeadOrMissingBodyPartFn Leg)")

(=>
  (and
    (holdsDuring ?T
      (attribute ?H
        (DeadOrMissingBodyPartFn ?P)))
    (instance ?PI ?P)
    (part ?PI ?H)
    (hasPurpose ?PI ?F))
  (not ?F))
      
(subclass PsychologicalAttribute BiologicalAttribute)

(partition PsychologicalAttribute StateOfMind TraitAttribute)
(documentation PsychologicalAttribute EnglishLanguage "&%Attributes
that characterize the mental or behavioral life of an &%Organism.")

;; NS: delete.
;; (=>
;;    (instance ?ATTR PsychologicalAttribute)
;;    (=>
;;       (holdsDuring ?TIME (attribute ?ORGANISM ?ATTR))
;;       (holdsDuring ?TIME (attribute ?ORGANISM Living))))

;; NS: add.
(=>
   (instance ?ATTR PsychologicalAttribute)
   (=>
      (and
        (holdsDuring ?TIME (attribute ?ORGANISM ?ATTR))
        (instance ?ORGANISM Organism))
      (holdsDuring ?TIME (attribute ?ORGANISM Living))))

(=>
   (and
      (instance ?ATTR PsychologicalAttribute)
      (attribute ?AGENT ?ATTR))
   (instance ?AGENT SentientAgent))

(subclass StateOfMind PsychologicalAttribute)
(documentation StateOfMind EnglishLanguage  "The class &%StateOfMind is distinguished from
its complement &%TraitAttribute by the fact that instances of the former are
transient while instances of the latter are persistent features of a creature's
behavioral/psychological make-up.")

(subclass EmotionalState StateOfMind)
(documentation EmotionalState EnglishLanguage "The &%Class of &%Attributes that denote
emotional states of &%Organisms.")

(subclass ConsciousnessAttribute StateOfMind)
(documentation ConsciousnessAttribute EnglishLanguage "&%Attributes that indicate whether
an &%Organism is conscious or the qualitative degree of consciousness of
an &%Organism.")

(=>
   (and
      (instance ?AGENT SentientAgent)
      (attribute ?AGENT Living))
   (exists (?ATTR)
      (and
         (instance ?ATTR ConsciousnessAttribute)
         (attribute ?AGENT ?ATTR))))

(=>
  (and
    (instance ?ATTR ConsciousnessAttribute)
    (attribute ?AGENT ?ATTR))
  (and
    (instance ?AGENT SentientAgent)
    (attribute ?AGENT Living)))

(instance Asleep ConsciousnessAttribute)
(documentation Asleep EnglishLanguage "&%Attribute that applies to &%Organisms that are
sleeping.")

(subclass Sleeping PsychologicalProcess)
(documentation Sleeping EnglishLanguage "The &%Process of &%Brain 
activity indicative of being &%Asleep.")
(termFormat EnglishLanguage Sleeping "sleeping")

(=>
  (holdsDuring ?T
    (attribute ?H Asleep))
  (exists (?S)
    (and
      (equal ?T (WhenFn ?S))
      (instance ?S Sleeping)
      (experiencer ?S ?H))))
      
(instance Unconscious ConsciousnessAttribute)
(contraryAttribute Unconscious Awake)
(documentation Unconscious EnglishLanguage "&%Attribute that applies to &%Organisms that
are unconscious.  An &%Organism may be &%Unconscious because it is &%Dead
or because of a blow to the head, a drug, etc.")

(instance Awake ConsciousnessAttribute)
(documentation Awake EnglishLanguage "&%Attribute that applies to &%Organisms that are
neither &%Unconscious nor &%Asleep.")

(=>
   (or
      (attribute ?AGENT Asleep)
      (attribute ?AGENT Awake))
   (attribute ?AGENT Living))

(subclass TraitAttribute PsychologicalAttribute)
(documentation TraitAttribute EnglishLanguage "&%Attributes that indicate the the
behavior/personality traits of an &%Organism.")

(subclass PsychologicalDysfunction PsychologicalAttribute)
(subclass PsychologicalDysfunction DiseaseOrSyndrome)
(documentation PsychologicalDysfunction EnglishLanguage "A clinically significant
dysfunction whose major manifestation is behavioral or psychological.
These dysfunctions may have identified or presumed biological etiologies
or manifestations.")

(instance comment TernaryPredicate)
(documentation comment EnglishLanguage "(&%comment ?ENT ?STR ?PER) is a convenient
relationship that allows ontologists represented by &%SymbolicString ?PER to write
down commentaries ?STR on a defined &%Entity ?ENT")

(domain comment 1 Entity)
(domain comment 2 SymbolicString)
(domain comment 3 SymbolicString)

(instance MakingFn UnaryFunction)
(domainSubclass MakingFn 1 Making)
(rangeSubclass MakingFn Object)
(documentation MakingFn EnglishLanguage "A &%Function that denotes the creation of an
&%Object.")

(=>
  (instance ?X (MakingFn ?Y))
  (exists (?OBJECT)
    (and
      (instance ?OBJECT ?Y)
      (result ?X ?OBJECT))))

(documentation minValue EnglishLanguage "The minimum possible value for a given
numerical argument of a &%Relation. The second argument is the argument number
of the relation and the third argument is the minimum value.")
(instance minValue TernaryPredicate)
(domain minValue 1 Predicate)
(domain minValue 2 Integer)
(domain minValue 3 Quantity)
(format EnglishLanguage minValue "The &%minValue of %1
with %2 arguments is %3.")

; doesn't handle arg lists of varying types without a type conflict in TFF
;(=>
;  (and
;    (minValue ?REL ?ARG ?N)
;    (?REL @ARGS)
;    (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG)))
;  (greaterThan ?VAL ?N))

(documentation maxValue EnglishLanguage "The maximum possible value for a given
numerical argument of a &%Relation. The second argument is the argument number
of the relation and the third argument is the maximum value.")
(instance maxValue TernaryPredicate)
(domain maxValue 1 Predicate)
(domain maxValue 2 Integer)
(domain maxValue 3 Quantity)
(format EnglishLanguage maxValue "The &%maxValue of %1
with %2 arguments is %3.")

; doesn't handle arg lists of varying types without a type conflict in TFF
;(=>
;  (and
;    (maxValue ?REL ?ARG ?N)
;    (?REL @ARGS)
;    (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG)))
;  (greaterThan ?N ?VAL))

(documentation defaultMinValue EnglishLanguage "The minimum likely value for a given
numerical argument of a &%Relation. The second argument is the argument number
of the relation and the third argument is the minimum value.")
(instance defaultMinValue TernaryPredicate)
(domain defaultMinValue 1 Predicate)
(domain defaultMinValue 2 Integer)
(domain defaultMinValue 3 Quantity)
(format EnglishLanguage defaultMinValue "The &%defaultMinValue of
%1 with %2 arguments is %3.")

(=>
  (and
    (defaultMinValue ?REL ?ARG ?N)
    (?REL @ARGS)
    (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG)))
  (modalAttribute (greaterThan ?VAL ?N) Likely))

(documentation defaultMaxValue EnglishLanguage "The maximum likely value for a given
numerical argument of a &%Relation. The second argument is the argument number
of the relation and the third argument is the minimum value.")
(instance defaultMaxValue TernaryPredicate)
(domain defaultMaxValue 1 Predicate)
(domain defaultMaxValue 2 Integer)
(domain defaultMaxValue 3 Quantity)
(format EnglishLanguage defaultMaxValue "The &%defalutMaxValue of
%1 with %2 arguments is %3.")

(=>
  (and
    (defaultMaxValue ?REL ?ARG ?N)
    (?REL @ARGS)
    (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG)))
  (modalAttribute (greaterThan ?N ?VAL) Likely))

(documentation defaultValue EnglishLanguage "The likely value for a given
numerical argument of a &%Relation. The second argument is the argument number
of the relation and the third argument is the likely value.")
(instance defaultValue TernaryPredicate)
(domain defaultValue 1 Predicate)
(domain defaultValue 2 Integer)
(domain defaultValue 3 Quantity)
(format EnglishLanguage defaultValue "The &%defaultValue of
%1 with %2 arguments is %3.")

(=>
  (and
    (defaultValue ?REL ?ARG ?N)
    (?REL @ARGS)
    (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG)))
  (modalAttribute (equal ?N ?VAL) Likely))

;; END FILE

;; BEGIN FILE

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;    Sequestered Axioms    ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

;;  This section is not a subontology of the SUMO.  It contains axioms from
;;  other sections of the ontology that may cause problems for an inference
;;  engine.  In particular, they can be used to construct arbitrarily complex
;;  terms that often appear in proofs with unhelpful conclusions.  Before this
;;  file is loaded into the inference engine, the axioms in this section should
;;  be commented out.

;;  (<=>
;;     (instance ?ENTITY (UnionFn ?CLASS1 ?CLASS2))
;;     (or
;;        (instance ?ENTITY ?CLASS1)
;;        (instance ?ENTITY ?CLASS2)))

;;  (<=>
;;     (instance ?ENTITY (IntersectionFn ?CLASS1 ?CLASS2))
;;     (and
;;        (instance ?ENTITY ?CLASS1)
;;        (instance ?ENTITY ?CLASS2)))

;;  (<=>
;;     (instance ?ENTITY (ComplementFn ?CLASS))
;;     (not
;;        (instance ?ENTITY ?CLASS)))

;;  (=>
;;     (and
;;        (instance ?CLASS1 SetOrClass)
;;        (instance ?CLASS2 SetOrClass))
;;     (equal (RelativeComplementFn ?CLASS1 ?CLASS2) (IntersectionFn ?CLASS1 (ComplementFn ?CLASS2))))

;;  (<=>
;;     (instance ?ENTITY (GeneralizedUnionFn ?SUPERCLASS))
;;     (exists (?CLASS)
;;        (and
;;           (instance ?CLASS ?SUPERCLASS)
;;           (instance ?ENTITY ?CLASS))))

;;  (<=>
;;     (instance ?ENTITY (GeneralizedIntersectionFn ?SUPERCLASS))
;;     (forall (?CLASS)
;;           (=>
;;              (instance ?CLASS ?SUPERCLASS)
;;              (instance ?ENTITY ?CLASS))))

;;  (<=>
;;     (instance ?SUBCLASS (PowerSetFn ?CLASS))
;;     (subclass ?SUBCLASS ?CLASS))

;; (=>
;;   (instance ?REL Function)
;;   (<=>
;;     (equal (AssignmentFn ?REL @ROW) ?INST)
;;     (?REL @ROW ?INST)))

;; NS: sequestered 2007-08-01
;; (<=>
;;    (instance ?REL BinaryRelation)
;;    (not
;;       (exists (?ITEM1 ?ITEM2 ?ITEM3 @ROW)
;;          (?REL ?ITEM1 ?ITEM2 ?ITEM3 @ROW))))

;; NS: sequestered 2007-08-01
;; (=>
;;    (instance ?REL TernaryRelation)
;;    (not
;;       (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW)
;;          (?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW))))

;; NS: sequestered 2007-08-01
;; (=>
;;    (instance ?REL QuaternaryRelation)
;;    (not
;;       (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW)
;;          (?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW))))

;; NS: sequestered 2007-08-01
;; (=>
;;    (instance ?REL QuintaryRelation)
;;    (not
;;       (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW)
;;          (?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW))))