A system crash raised the error in the title.
I've tried the suggestion here, but then I can't access any of my InnoDB tables. They are still there, but data is missing. The provided solution probably messes with table index.
I was going to comment there to avoid duplicate, but I need 50 reputation for that.
I have a backup. So, how can I restore all InnoDB tables if I can't start mysql, dump and import?