1. Can you better explain the situation. In whose name or names is the house? Are you mentioned on the title deeds? Is there a loan or mortgage on the house? Have either of you petitioned for divorce yet? Do you intend to divorce?
2. The issue of who owns the house and in what proportions will now be decided by the divorce court as part of the divorce. So you should attempt to get the divorce heard as soon as possible. Be aware that in determining the overall order made in relation to the house, the court will look at all the circumstances of your joint financial affairs arising from the marriage. However, the starting point will be your individual contributions to the house as well as who contributed to the mortgage repayments. So the starting point will be that you own an extra 10%, assuming you contributed equally to the mortgage repayments. Assuming you have no other financial obligations arising from the marriage, this will be how the court will deal with the house in the context of the divorce. However, the ownership of the house is contingent upon the terms of the actual divorce.
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4. If your husband will not mediate, then you will have to go back to court. It is extremely rare that a mediator gives up like this. So, as mediation has failed, you will need to get the court to sort things out. Ultimately, if the parties cannot agree, the court exists to make a decision as to your financial arrangements. Here, the financial arrangements will have to be sorted out before a final decree will be handed down.
Just to add to the above.
How the property will be divided between you will depend on the length of your cohabitation and whether or not there are children.
Which of you paid the money in 2005 is actually of very very little relevance