Consider the following premises. p_3 <-> w. p_2 -> p_3. p_3 -> p_2. w or ~p. ~p_2. Can we infer p from them?
 From w or ~p we can infer p -> w. From p_2 -> p_3, p_3 -> p_2 we can infer p_2 <-> p_3. From p_2 <-> p_3, ~p_2 we can infer ~p_3. From p_3 <-> w, ~p_3 we can infer ~w. Finally, from p -> w, ~w we can infer ~p, which contradicts p. Therefore, the answer is no.