Exercise $1$: Please find the negation of each statement $(30$ points$)$

$(1)$ The processor is fast but the printer is slow. $(10$ points$)$

$(2)$ If the processor is fast, then the printer is slow. $(10$ points$)$

$(3)$ Either the processor is fast and the printer is slow, or else the file is damaged. $(10$ points$)$

Please follow the following three steps:

$1.$ First translate the English words into wffs using the formal symbols. $2.$ Negate the wffs$.$

$3.$ Translate the negated wffs back into English words.