Consider the following premises. There is at least one x_12 for which x_12 is not sad or x_12 will make tea. For all x_12, x_12 is sad or x_12 is bored. For all x_12, if x_12 listens to a song, then x_12 is not climbing a mountain. For all x_12, if x_12 makes tea, then x_12 is climbing a mountain. For all x_12, if x_12 were bored, then x_12 is climbing a mountain. Can we infer the following from them? For all x_12, if x_12 makes tea, then x_12 is climbing a mountain.
That is one of the premises. Therefore, the answer is yes.