As always, it depends.
It is not 5 years too, either 6 or 7.
But, to claim after so long (6/7 yrs), you need to show there was a fault when it was made, as you do if it is over the typical lifetime of the product. How long is the products life? Who knows? A £700 dryer will be expected to last 5 years, a £100 may only be expected to last a year.
13 months is a short time, but if it has been used every day, or left in a shed etc, then the seller can refuse to repair.
First point of call is the seller. They are allowed to repair it before they give a refund. if they do give a refund, it does not have to be the full purchase price.
If they refuse to look at it, you will have to get a report stating what the problem is, and submit to them, along with the quote to repair it. They may still refuse if they think you have had a fair life out of it.
It'll be Court then if you want to pursue.
See what the seller says first.
If the Manufacturer offers a longer guarantee, see what they say, but your Contract is with the seller.