Considering there are a number of other typos and `will' is used consistently everywhere else in the document, I think `wilt' is an error. Personally, I don't think I've ever seen the word used in that way in a legal document (in America--no idea if it's more common in the UK or elsewhere).
I totally agree that the credibility of the text is questionable. I just wanted to point out the use of 'wilt' is acceptable (in the UK).