Consider the following premises. For all x_10, x_10 is a carpenter or x_10 will play tennis. If Elisabeth were a carpenter, then Patricia is an artist. If Patricia were an artist, then Elisabeth is a carpenter. If Elisabeth plays tennis, then Patricia is an artist. Can we infer the following from them? Patricia is not an artist.
 From the fact that for all x_10, x_10 is a carpenter or x_10 will play tennis we can infer that Elisabeth is a carpenter or Elisabeth is playing tennis. From the fact that if Elisabeth were a carpenter, then Patricia is an artist, and that if Patricia were an artist, then Elisabeth is a carpenter we can infer that Elisabeth is a carpenter if and only if Patricia is an artist. From the fact that Elisabeth is a carpenter if and only if Patricia is an artist we can infer that if Elisabeth were a carpenter, then Patricia is an artist. Finally, from the fact that if Elisabeth were a carpenter, then Patricia is an artist, that if Elisabeth plays tennis, then Patricia is an artist, and that Elisabeth is a carpenter or Elisabeth is playing tennis we can infer that Patricia is an artist, which contradicts that Patricia is not an artist. Therefore, the answer is no.