If they refuse, then you'll likely have to terminate the agreement or continue without the additional inspections. Contact your Realtor for advice regarding the best course of action based on the terms that were written in the contract.
Syan Real Estate
Call/Text: (505) 730-8181
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Coleen Dearing CRS GRI e-PRO
Coldwell Banker Trails West Realty, Ltd.
If the individual below who finds amusement in your pain is involved in the transaction (is he the Listing Agent?), then I would cut your losses immediately and find another home. Whatever you spent so far is worth losing to distance yourself from that sort of unprofessional behavior. Best of luck...