premise: A woman is walking her dog along a snowy ground. hypothesis: A woman and her cat are laying by the fireplace.
contradiction: The woman can't do two things at once, she is either walking the door or lying by the fireplace. It is also either a dog or a cat.|contradiction: A dog cannot be a cat and snowy ground cannot be a fireplace.|contradiction: Woman cannot be walking and laying at the same time. It is implied in the first that the woman is without her cat in the first.