  The configurational entropy of supercooled liquids extrapolates to zero at
the Kauzmann temperature, causing a crisis called the Kauzmann paradox. Here,
using a class of multicomponent lattice glass models, we study a resolution of
the paradox characterized by a sudden but smooth turn in the entropy as
temperature goes sufficiently low. A scalar variant of the models reproduces
the Kauzmann paradox with thermodynamic properties at very low temperatures
dominated by correlations. An exactly solvable vector variant without
correlation illustrates that a sudden entropy turn occurs when discrete local
excitations are largely suppressed. Despite being disordered and infinitely
degenerate, the ground states have zero entropy per particle.
