What happens if I can prove my spouse lied about the dat he abandoned the marriage and left the house?

You can dispute the date and potentially have the divorce dimissed.  But it won't stop him from divorcing you eventually.  For a no-fault divorce you must be separated for at least a year or if you have no chidren and a written property settlement agreement then you must be separated for at least six months.  If he is lyign about that date that could be a fraud on the court.   I'm not sure where you are at in this process, so it's difficult to advise you beyond that.