Relationships require communication... You should tell him that you and him both need to come to an agreement about how chores are split. Not just assume you have to do all the dishes because he does other things. I really think you two need to sit down and talk about it. It's not right for one person to say, "Nope I am never doing this and I will never change my mind or consider other options." People really need to be more open minded then that, especially when it comes to relationships. I really think communication is the key.