Available statements

Initial premises

(p ∧ q) ∨ r
r → s

Inference rules

distribution

From (p ∧ q) ∨ r you may derive p ∨ r or q ∨ r.

implication-elim

From r → s you may derive ¬r ∨ s.

resolution

From (X ∨ r) and (¬r ∨ Y) derive (X ∨ Y).

Drop premises here (you can drop multiple)
Drop rule
Target conclusion: p ∨ s