Consider the following premises. w_3 -> t. t or ~w. q_12 or w. p_1 or ~q_12. p_1 -> w_3. Can we infer ~t from them? If possible, name the inference rules being used at each step.
 From t or ~w we can infer w -> t via rewriting. From p_1 or ~q_12 we can infer q_12 -> p_1 via rewriting. From q_12 -> p_1, p_1 -> w_3 we can infer q_12 -> w_3 via transitivity. From q_12 -> w_3, w_3 -> t we can infer q_12 -> t via transitivity. Finally, from q_12 -> t, w -> t, q_12 or w we can infer t via disjunction elimination, which contradicts ~t. Therefore, the answer is no.