The phrase "did part" can mean to separate, depart, or divide. There are several synonyms for this phrase including split, cleaved, dissolved, disengaged, and disunited. These words all imply some sort of separation or breaking apart of a relationship or connection. Other related synonyms could include estranged, detached, and isolated. In many cases, these words can be used interchangeably depending on the context in which they are being used. Overall, there are a variety of words that can be used as synonyms for "did part," each with their own subtle connotations and nuances.