It's not as simple as a judge being presented two marriage certificates and saying "Aha! this one is on an earlier year, this is the real wife... the second is not.... let's proceed to property separation."
In my sample case the two certificates have major discrepancies. The age of the man is different on both certificates. The signature of the man is also different on both certificates. Further, the accuser cannot provide even a single ID of her alleged husband. Not even a birth certificate.
The only document the accuser holds is her marriage certificate, one that has these discrepancies with the second marriage certificate. There needs to be a forum where the court must hear evidences and hear testimonies. It's not a simple yes or no question. In a case like this, wouldn't a court case verifying the accuser's claim that she is the first wife PRECEDE discussions on property since there is so much doubt if her claims are legitimate or mere forgery?