It feels like last year hasn't existed.
I found myself writing this sentence, but then it suddenly felt weird. (I live in Britain but used to live in AmE speaking country)
The present perfect tense refers to an action or state that either occurred at an indefinite time in the past (e.g., we have talked before) or began in the past and continued to the present time (e.g., he has grown impatient over the last hour).
How would I interpret above with 'exist'?
EDIT (clarification): If I say "It feels like last year hasn't existed, then 'last year' is not something that occurred in the past nor began in the past and continued to the present time. Isn't the use of present perfect denied by using negative of exist?