Check your contract with them. It almost certainly says they WILL send someone to look at it. If they fail to do so, you likely have a decent claim against them which, after they pay your attorneys, will end up costing them a lot more than just doing it right. Look here for someone good:
I agree with Mr. Kaufman; take a look at your service contract. If it says that they are required to send someone out to inspect and they are refusing to do so, or if it lays out the steps that they must take before denying a claim and they have failed to follow those steps, then you likely have a breach of contract claim against them. You should contact a consumer attorney in your state. Find one here: www.USLemonLawyers.com.
This answer is for general purposes only and does not establish an attorney-client relationship. The law in your state may differ and your best answer will always come from a local attorney that you meet with privately. If you need a Consumer Law attorney, click the link above to find a Consumer Law attorney near you.
Sounds like you may have a potential claim. Call an attorney that handles lemon law - breach of warranty claims so that they can evaluate your claim and get to the bottom of it for you.