YOU SAID:
My cats name isn’t dog it’s rat
INTO JAPANESE
私の猫の名前は犬の犬ではない
BACK INTO ENGLISH
My cat's name is not a dog's dog
INTO JAPANESE
私の猫の名前は犬の犬ではありません
BACK INTO ENGLISH
My cat's name is not a dog's dog
That didn't even make that much sense in English.