I am being played

when I get up this morning a cat sticks herself to my legs until I feed her then she disappears outside

the other (identical) cat is nowhere to be seen 

five minutes later a cat appears asking to be fed this must be the other cat so I feed her then she goes outside and out of sight

five minutes later a cat walks in asking to be fed

it takes 6 bowls of food before I am convinced that each cat has eaten at least one bowl of food