A federal judge heard new testimony Wednesday in the case of a Georgia death row inmate given a rare chance by the U.S. Supreme Court to prove his innocence nearly 20 years after a jury convicted him of killing a police officer.

Attorneys for Troy Anthony Davis say witnesses who identified him as the killer of Savannah police officer Mark MacPhail during Davis' 1991 trial were pressured by police into making false statements. New witnesses have since come forward to say another man confessed to the slaying after Davis was convicted.

In U.S. District Court on Wednesday, Davis' lawyers rested their case after calling nine witnesses to support that claim. The hearing will continue Thursday with prosecutors presenting rebuttal evidence.

Judge William T. Moore said he's highly skeptical of testimony that another man has admitted to shooting MacPhail, because Davis' attorneys did not subpoena the man they say is the real killer.