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I have one question first.
If the liner is torn is the pool still functioning? I have no idea how pools work.
Generally the law with respect to the purchase of homes is that the purchaser has the right to inspect the home for defects. If the Purchaser decides to buy the home then generally the law can be summed up by the well known phrase "buyer beware." The legal phrase for this is the Latin phrase caveat emptor.However, at the same time the Vendor is not permitted to misrepresent, fail to disclose or actively try to hide defects.As well the vendor has a duty to disclose a latent defect if it's substantial. This usually includes defects that render the premises uninhabitable or unfit for the use the Purchaser is planning for. It would also include the situation where the cost to repair is going to be substantial as well.
In my mind you were materially mis-represented. They didn't reveal this problem and it was the winter and they thought they could get away with it,
I suggest you have a lawyer send them a letter demanding they reimburse you for the cost of the liner and threaten a lawsuit. I believe you would succeed if you had to sue them which would be in Small Claims Court and you could self-represent. If it got that far and you find you need some help as you go through the process you can always post on this site again and I can assist you further.