Consider the following premises. For all x_10, if x_10 makes tea, then x_10 is playing squash. For all x_10, if x_10 plays tennis, then x_10 is making tea. There is at least one x_10 for which x_10 will listen to a song or x_10 will play tennis. For all x_10, if x_10 listens to a song, then x_10 is playing squash. For all x_10, if x_10 were happy, then x_10 is playing tennis. For all x_10, if x_10 makes tea, then x_10 is happy. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_10 for which x_10 will listen to a song or x_10 will play tennis.
That is one of the premises. Therefore, the answer is yes.