Look right now i could not come up with any reference but i hope others can follow this up by giving references.
I personally haven't studied this case and therefore i have no right to answer it but i will only quote the stance of a salafi scholar named"Abu Insha Qari Khalil ur Rehman"as i have heard it quite recently.
According to him a women testimony alone is not enough and needs a witness. If the witness approves the claim then divorce will happen but if she doesn't have a witness and her husband disapproves her claim then whether the husband is lying or not,the women will have to continue the marriage and her husband will be answerable at the day of judgement and she will not be guilty.
According to him this stance is maintained to continue the wordly affairs smoothly as humans are not capable of knowing lies and truth and will make decisions according to situation that comes up and therefor such mechanism are placed in order.