Counterworked is not a common word in English language and therefore, it does not have actual antonyms. However, if we break down the word into two parts "counter" and "worked", we can create antonyms for each part. "Counter" means against or opposite, so the antonym for it would be "pro-", which means for or in favor of. "Worked" means to labor or put effort into something, so the antonym for it would be "idled" or "relaxed." Therefore, the antonyms for counterworked could be proidled or relaxedworked. However, these are not actual words in English language and should be used with care.