YOU SAID:
cats eat cats and me eat cats being eaten by me
INTO JAPANESE
猫は猫を食べ、私は私に食べられる猫を食べる
BACK INTO ENGLISH
Cats eat cats, I eat cats that I can eat
INTO JAPANESE
猫は猫を食べる、食べられる猫を食べる
BACK INTO ENGLISH
Cats eat cats, eat edible cats
INTO JAPANESE
猫は猫を食べ、食用の猫を食べる
BACK INTO ENGLISH
Cats eat cats, eat edible cats
That didn't even make that much sense in English.