Modals of deduction in the past
The Rule = To make guesses about the past, we must use:
must/might (not)/can't/could (not) + have + past participle
can't = when we are sure something didn't happen in the past
> You can't have seen my mother yesterday, she's currently on a holiday.
could (not) = when we feel sure something did (not) happen in the past
> He couldn't have ran away, he lived a happy life!