Consider the following premises. forall x: W(x) or U_4(x). forall x: ~W(x) or T(x). forall x: ~U_4(x). forall x: ~T(x). Can we infer exists x: ~S(x) from them? If possible, name the inference rules being used at each step.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.