Consider the following premises. For all x_7, if x_7 were a writer, then x_7 is writing a letter. There is at least one x_7 for which x_7 will climb a mountain. For all x_7, x_7 is a server if and only if x_7 will write a letter. For all x_7, x_7 is a server or x_7 is a writer. Can we infer the following from them? For all x_7, either x_7 will write a letter or x_7 will climb a mountain are not true.
 From the fact that for all x_7, x_7 is a server if and only if x_7 will write a letter we can infer that for all x_7, if x_7 were a server, then x_7 is writing a letter. From the fact that for all x_7, if x_7 were a server, then x_7 is writing a letter, that for all x_7, if x_7 were a writer, then x_7 is writing a letter, and that for all x_7, x_7 is a server or x_7 is a writer we can infer that for all x_7, x_7 will write a letter. Finally, from the fact that for all x_7, x_7 will write a letter, and that there is at least one x_7 for which x_7 will climb a mountain we can infer that there is at least one x_7 for which x_7 will write a letter and x_7 will climb a mountain, which contradicts that For all x_7, either x_7 will write a letter or x_7 will climb a mountain are not true. Therefore, the answer is no.