The neutron electric dipole moment is claimed to vanish as the inverse square root of the volume, and the axion is claimed to spoil QCD confinement, so the strong CP problem is resolved inside QCD.
Schierholz, Dynamical solution of the strong CP problem within QCD? , EPJ Web Conf
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Absence of CP Violation in the Strong Interaction: Vacuum thwarts Axion
The neutron electric dipole moment is claimed to vanish as the inverse square root of the volume, and the axion is claimed to spoil QCD confinement, so the strong CP problem is resolved inside QCD.