Similar: Does IUPAC nomenclature have the ability to name all organic compounds? - The answer to this question was no.
A relevant statement from the linked, though it is not explained:
The closest thing to an absolute method of describing a compound's structure is to have a table of positional data (XYZ coordinates) giving the relative positions between the atoms determined from X-ray/neutron diffraction. Any attempt at simplifying this data will be lossy, whether the structures are drawn (not too lossy) or named (very lossy).
Do SMILES, InChl, or any other chemical naming system have the capacity to name all possible chemical compounds? What would be required to demonstrate that a certain naming system has this property?