The famous van der Waals law shows that neutral atoms attract each other over large distances with an effective potential of the form $-c/d^6$ , $d$ the distance of the atoms. There are additional higher order terms, which depend on binary atom-atom interactions at large distances. The Axilrod-Teller-Muto correction, which is the first term which depends on triplets of atoms and is of importance in atom physics., shows up at order $d^9$. We prove that the Axilrod-Teller-Muto conjecture is correct. This is joint work with Jean-Marie Barbaroux, Michael Hartig, and Semjon Wugalter

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