Syllogized is a term that refers to the process of logically deducing a conclusion from two premises. Antonyms for this word could include "confused," "misunderstood," or "jumbled." When someone is struggling to make sense of a complex argument or is unable to grasp the reasoning behind it, they might be said to be confused or misunderstanding. Similarly, if someone's thought process is muddled or disorganized, they might be described as jumbled. These terms highlight the opposite of what syllogized embodies, which is a clear and logical thought process leading to a conclusive outcome from a set of premises.