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KB Term:  Term intersection
English Word: 

Sigma KEE - graphPart
graphPart

appearance as argument number 1
-------------------------


(documentation graphPart ChineseLanguage "这是 Graph 和它的部分之间的一个基本关系。 (graphPart ?PART ?GRAPH) 的意思是 ?PART 是Graph ?GRAPH 的一个 GraphArc 或 GraphNode。") chinese_format.kif 2349-2350
(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.") Merge.kif 5892-5894
(documentation graphPart JapaneseLanguage "Graph とそのパーツの基本的な関係。(graphPart ?PART ?GRAPH) とは、?PARTが　Graph ?GRAPH の　GraphArc または　GraphNode であることを 意味する。") japanese_format.kif 1024-1026
(domain graphPart 1 GraphElement) Merge.kif 5889-5889 The number 1 argument of graph part is an instance of graph element
(domain graphPart 2 Graph) Merge.kif 5890-5890 The number 2 argument of graph part is an instance of graph
(instance graphPart AsymmetricRelation) Merge.kif 5886-5886 graph part is an instance of asymmetric relation
(instance graphPart BinaryPredicate) Merge.kif 5885-5885 graph part is an instance of binary predicate
(instance graphPart IrreflexiveRelation) Merge.kif 5888-5888 graph part is an instance of irreflexive relation
(instance graphPart TotalValuedRelation) Merge.kif 5887-5887 graph part is an instance of total valued relation

appearance as argument number 2
-------------------------


(format ChineseLanguage graphPart "%1 %n 是 %2 的 part") chinese_format.kif 749-749
(format EnglishLanguage graphPart "%1 is %n a part of %2") english_format.kif 751-751
(format FrenchLanguage graphPart "%1 est %n une partie de %2") french_format.kif 452-452
(format ItalianLanguage graphPart "%1 è %n una parte di %2") relations-it.txt 119-119
(format JapaneseLanguage graphPart "%1 は %2 の part では %n") japanese_format.kif 2160-2160
(format PortugueseLanguage graphPart "%1 e' %n uma &parte de %2") portuguese_format.kif 404-404
(format cz graphPart "%1 %p{je} %n{nen�} ��st� %2") relations-cz.txt 465-465
(format de graphPart "%1 ist ein teil von %2 %n{nicht}") relations-de.txt 966-966
(format hi graphPart "%1 %2 kaa bhaaga %n hai") relations-hindi.txt 159-159
(format ro graphPart "%1 %n{nu} este o part%t{parte} a kui %2") relations-ro.kif 474-474
(format sv graphPart "%1 är %n{inte} en del av %2") relations-sv.txt 517-517
(format tg graphPart "%1 %n ay ang bahagi sa %2") relations-tg.txt 246-246
(termFormat ChineseLanguage graphPart "图形部分") chinese_format.kif 750-750
(termFormat ChineseTraditionalLanguage graphPart "圖形部分") domainEnglishFormat.kif 26493-26493
(termFormat EnglishLanguage graphPart "graph part") domainEnglishFormat.kif 26492-26492

antecedent
-------------------------


(=>
    (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)))		 Merge.kif 5994-6007
(=>
    (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)))		 Merge.kif 5980-5992
(=>
    (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)))		 Merge.kif 6166-6177
(=>
    (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))		 Merge.kif 5791-5800
(=>
    (and
        (graphPart ?PATH ?GRAPH)
        (not
            (instance ?GRAPH DirectedGraph)))
    (<=>
        (instance ?PATH
            (GraphPathFn ?NODE1 ?NODE2))
        (instance ?PATH
            (GraphPathFn ?NODE2 ?NODE1))))		 Merge.kif 6063-6069
(=>
    (and
        (instance ?GRAPH DirectedGraph)
        (instance ?ARC GraphArc)
        (graphPart ?ARC ?GRAPH))
    (exists (?NODE1 ?NODE2)
        (and
            (equal
                (InitialNodeFn ?ARC) ?NODE1)
            (equal
                (TerminalNodeFn ?ARC) ?NODE2))))		 Merge.kif 5676-5684
(=>
    (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)))))))		 Merge.kif 5631-5651
(=>
    (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))))))		 Merge.kif 5727-5738
(=>
    (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))))))		 Merge.kif 5740-5751
(=>
    (and
        (instance ?LOOP GraphLoop)
        (graphPart ?LOOP ?GRAPH))
    (instance ?GRAPH PseudoGraph))		 Merge.kif 5814-5818
(=>
    (and
        (subGraph ?GRAPH1 ?GRAPH2)
        (graphPart ?ELEMENT ?GRAPH1))
    (graphPart ?ELEMENT ?GRAPH2))		 Merge.kif 5906-5910

consequent
-------------------------


(=>
    (and
        (instance ?TS TransitSystem)
        (instance ?T Transitway)
        (abstractCounterpart ?G ?TS)
        (systemPart ?T ?TS))
    (exists (?GA)
        (and
            (instance ?GA GraphArc)
            (abstractCounterpart ?GA ?T)
            (graphPart ?GA ?G))))		 Transportation.kif 3435-3445
(=>
    (and
        (instance ?TS TransitSystem)
        (instance ?TJ TransitwayJunction)
        (abstractCounterpart ?G ?TS)
        (systemPart ?TJ ?TS))
    (exists (?GN)
        (and
            (instance ?GN GraphNode)
            (abstractCounterpart ?GN ?TJ)
            (graphPart ?GN ?G))))		 Transportation.kif 3447-3457
(=>
    (and
        (subGraph ?GRAPH1 ?GRAPH2)
        (graphPart ?ELEMENT ?GRAPH1))
    (graphPart ?ELEMENT ?GRAPH2))		 Merge.kif 5906-5910
(=>
    (graphMeasure ?G ?M)
    (forall (?AC)
        (and
            (graphPart ?AC ?G)
            (exists (?PC)
                (abstractCounterpart ?AC ?PC)))))		 Merge.kif 6158-6164
(=>
    (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)))))		 Merge.kif 5653-5667
(=>
    (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)))))		 Merge.kif 5778-5789
(=>
    (instance ?GRAPH PseudoGraph)
    (exists (?LOOP)
        (and
            (instance ?LOOP GraphLoop)
            (graphPart ?LOOP ?GRAPH))))		 Merge.kif 5807-5812
(=>
    (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))))))		 Merge.kif 5707-5717
(=>
    (instance ?GRAPH Tree)
    (not
        (exists (?LOOP)
            (and
                (instance ?LOOP GraphCircuit)
                (graphPart ?LOOP ?GRAPH)))))		 Merge.kif 5699-5705
(=>
    (instance ?GRAPH Tree)
    (not
        (exists (?LOOP)
            (and
                (instance ?LOOP GraphLoop)
                (graphPart ?LOOP ?GRAPH)))))		 Merge.kif 5691-5697
(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))		 Merge.kif 5826-5831


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