Yes, you are correct. To find the logical equivalent of the statement (($X$ AND $Y$) IMPLIES ($W$ OR $Z$)), you can use the equivalence of "A IMPLIES B" being the same as "NOT A OR B". So, the given statement can be rewritten as:

NOT ($X$ AND $Y$) OR ($W$ OR $Z$)

Applying De Morgan's Law to the left side, we get:

(NOT $X$ OR NOT $Y$) OR ($W$ OR $Z$)

Now, you can distribute the OR operation, but since we have OR on both sides, it's not necessary. The simplified expression is:

NOT $X$ OR NOT $Y$ OR $W$ OR $Z$

This is the Disjunctive Normal Form of the given statement, as you mentioned. You can also represent this in Conjunctive Normal Form, but you would need to go through a different process to achieve that.
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence