The bear eats the dog. The cat eats the bear. The dog likes the cat. If someone needs the cat then they eat the cat. If someone eats the dog then the dog needs the cat. If the cat needs the bear then the bear is green. If someone eats the cat then the cat eats the bear. If someone eats the cat and the cat is cold then the cat eats the dog. If someone likes the cat and the cat is blue then the cat likes the dog. If someone eats the cat and they eat the bear then the bear needs the dog. If someone needs the bear and they are green then the bear needs the dog.
The bear does not need the dog.
@0: The bear eats the dog.[(triple1)] The cat eats the bear.[(triple2 OR ((((((triple1) -> rule2)) -> rule1)) -> rule4))] The dog likes the cat.[(triple3)] @1: The dog needs the cat.[(((triple1) -> rule2))] @2: The dog eats the cat.[(((((triple1) -> rule2)) -> rule1))]