In fairness, the way even the most firmly established scientific theories get firmly established is precisely by having a lot of experiments done that fail to disprove them.
(Disclaimer: That's a bit of a simplification. In practice the acceptance of a theory also has something to do with how explanatory the theory feels, how elegant it is, what prejudices the highest-status experts have, etc.)
(Disclaimer: That's a bit of a simplification. In practice the acceptance of a theory also has something to do with how explanatory the theory feels, how elegant it is, what prejudices the highest-status experts have, etc.)