1. Let p, q, and r be the statements p: I finish my assignment before 2:00 pm today q: I go to the gym today r: It is raining today   (a) Invent a compound statement that uses all three of the proposi- tions p, q, and r as well as whatever logical connectives you choose. (b) Write an English sentence that corresponds to the statement you constructed in (a). (c) Make a truth table for the statement you constructed in (a).

I will thumbs up if you answer all. please convert FOL to CNF  Convert each of the following English statements into a single first-order logic sentence using the following constants and predicates. •Constants: Apples, Oranges, Chess, Go, John, Mary. •Predicates: oLikes(x,y): person x likes food y oPlays(x,y): person x plays game y a.If a personlikesApples, then they play chess. b.If a person likesOranges, then they play Go. c.A person likesApples or Oranges, but not both. d.John likes apples. e.Mary does not like anything that John likes. and then: Convert each of the first-order logic sentences in Problem 2to conjunctive normal form (CNF). There is no need to show intermediate steps. Assign each clause number: C1, C2, etc.