I don't think her moving out impacts anything, the house is still marital property. And yeah, when you put your inheritance money into the marital home you likely lost any claim to it as your separate property.
Whether it will absolutely be split equally probably depends on what state you're in. If it's a "community property" state it will almost certainly be split evenly, but if your state uses "equitable distribution" it might not be, depending on what arguments you make and other circumstances. And keep in mind that the equal split is based on the total value of your marital property, not each individual item, so you can always agree that one of you gets the whole value of the house in return for the other getting something else--cash, cars, stock, retirement accounts, etc.
Best thing would be to reach an agreement that both you and your ex think is fair. Otherwise it's up to the lawyers and the judge.