Well I am not sure what happens when someone does not respond to a petition being filed, someone else will probably tell you. Regarding the main bone of contention though, the house, you are not doing yourself any favours by thinking you can get a divorce without having to give him a share of the property, and I suppose it would be correct to assume that if the value of the property is going up then so is his portion. If you were the husband and he the wife it would not make any difference if she had made any contributions, when you get a divorce the marital assets,debts, etc. are all put into a pot and divided either by amicable arrangement or if the two parties cannot agree then the Court can decide. You will need to buy him out if you want to keep the property, so you can't just put your head in the sand about this really. You need to get a solicitor to get this sorted out, the longer it goes on the worse it will get. Your funds are low I know, but that is a lesser amount than what you will lose if you don't sever your ties.