Consider the following premises. For all x_13, x_13 is a poet or x_13 will play a game. If Patricia were a carpenter, then Robert is not climbing a mountain. For all x_13, if x_13 plays a game, then x_13 is climbing a mountain. For all x_13, if x_13 were a poet, then x_13 is climbing a mountain. Can we infer the following from them? Patricia is a carpenter.
 From the fact that for all x_13, if x_13 were a poet, then x_13 is climbing a mountain, that for all x_13, if x_13 plays a game, then x_13 is climbing a mountain, and that for all x_13, x_13 is a poet or x_13 will play a game we can infer that for all x_13, x_13 will climb a mountain. From the fact that for all x_13, x_13 will climb a mountain we can infer that Robert is climbing a mountain. Finally, from the fact that if Patricia were a carpenter, then Robert is not climbing a mountain, and that Robert is climbing a mountain we can infer that Patricia is not a carpenter, which contradicts that Patricia is a carpenter. Therefore, the answer is no.