If the edges are gooey but the center of the loaf is firm, then my guess is your use of the refrigerator is the problem. The edges chill down, saponify slower, and stay softer.
Unless you're trying to make milk soap which should stay as cool as possible to keep the color light, I don't see the point of putting soap in the fridge. And even if you are making milk soap, I still question the use of the fridge. There are a lot of people who have come here to complain they put soap in the fridge but the soap still got hot enough to gel. Problem is stagnant (not moving) air is a poor conductor of heat, even if it's refrigerator or freezer cold. Air that is moving is much more efficient at cooling, even if it's at room temperature.
Raising the molded soap on a cookie cooking rack or soup cans and training a fan to blow room temperature air over, under, and around the mold is an easy, reliable way to cool soap in the mold. Just a thought to keep in mind for another day.
I also cringe when people talk about putting saponifying soap in the fridge or freezer from the issue of safety. One of the adamant "get you fired if you ignore this" rule is never put stuff that's hazardous (aka saponifying soap) in a refrigerator or freezer intended for food storage.
I agree with Dibbles -- if you're still learning or if you're trying a recipe that's new to you, it's always smart to make a smaller batch (I do 16 oz fats / 500 g fats).
It's also wise to doublecheck every recipe, no matter how reputable the source, by entering it into a soap recipe c@lculator and verifying the numbers are correct. Even if you're not up to making your own recipes from scratch, checking recipes from others is a good thing.