I am not sure whether ConceptNet can be regarded as subset of wordnet but ConceptNet contains some (all?) relations extracted from wordnet. For instance:
/a/[/r/AtLocation/,/c/en/accelerator/n/wn/artifact/,/c/en/vehicle/n/wn/artifact/] /r/AtLocation /c/en/accelerator/n/wn/artifact /c/en/vehicle/n/wn/artifact {"dataset": "/d/wordnet/3.1", "license": "cc:by/4.0", "sources": [{"contributor": "/s/resource/wordnet/rdf/3.1"}], "surfaceEnd": "vehicle", "surfaceStart": "accelerator", "surfaceText": "[[accelerator]] is located in [[vehicle]]", "weight": 2.0}