There is no fixed time after which you get to transfer the house into your name.
If he continues to refuse to engage, at some point you issue court proceedings. You'll have difficulty serving them on him and you'll probably have to get the court to give you permission to, e.g, serve them on the solicitor he used to instruct, serve them on a family member of his, serve them by publishing them in the paper; something like that. Then, you ask the court to order the property to be transferred to you. Odd are that at some point he probably will engage with the court proceedings and oppose what you are seeking — you say he agreed to transfer the ownership, but his behaviour since then suggests that he may have changed his mind. If you and he can't agree on a financial settlement then the court will impose one, which may or may not include transferring the house to you.