"Constated" is not a commonly used word in the English language, hence there are no official antonyms listed for it. However, based on the meaning of the term, we can infer some plausible antonyms. The term "constated" refers to something that has been confirmed, verified, or acknowledged as true or real. Therefore, antonyms for "constated" could be words such as fictional, untrue, disputable, uncertain, or controversial. Moreover, antonyms can be taken from the negative prefixes such as dis-, un-, or non-, to imply the opposite meaning of the word. Hence, words such as disconfirmed, unacknowledged, or non-certified would be some possible antonyms for "constated".