Question: Convert to prenex conjunctive normal form: (1) (xP(x) xQ(x))) (2) x((P(x) yQ(y))) (3) yP(y) x(P(x))

Convert to prenex conjunctive normal form:

(1) ¬(∀xP(x) ∨ ∃xQ(x)))

(2) ∃x(¬(P(x) → ∀yQ(y)))

(3) ¬∃yP(y) ∨ ∀x¬(P(x))

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