Hi Jonas,
that depends a bit on what you mean by "not converging". Here the discussion is about converging the quantities of interest with respect to the underlying computational parameters, in this case k-point sampling and simulation cell size. You can see that the lines eventually get "crammed up" as the number of k-points and supercell size increase.
At the bottom of the S vs. T graph it starts with 1 k-point and 2 atoms with the obtained curve having a certain profile. When the simulation contains 4 k-points and 8 atoms, the obtained curve is quite far off from the first one, to put it simple, or not yet converged. With further increase of k-points and number of atoms in the supercell, this discrepancy diminishes and one gets very close to the black dots (which I presume are experimental values of high-quality reference calculations).
If by "not converged" you refer to the fact that the profile of the entropy is not plateaued at high temperatures, that is a whole other discussion 
Hope this helps,
Cheers,
Aleks
