Consider the following premises. For all x_10, x_10 will read a book. For all x_10, x_10 will play squash. For all x_10, x_10 will read a book if and only if x_10 will make tea. For all x_10, x_10 will not make tea. Can we infer the following from them? There is at least one x_10 for which either x_10 will play squash or x_10 will climb a mountain are not true.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.