(CNN) -- A death row prisoner in Georgia has not proven his innocence, a federal court ruled, according to papers released Tuesday.
Troy Davis faces execution for the killing of a Savannah, Georgia, police officer in 1989. He has always said he did not kill Officer Mark MacPhail.
The Supreme Court granted a stay of execution for him two hours before he was set to die in 2008, and another federal court later granted him another stay as he fought to overturn his conviction.
The Supreme Court last year ordered a lower court to look at the evidence again.
But the U.S. District Court for the Southern District of Georgia has now found Davis has not exonerated himself.
"Mr. Davis vastly overstates the value of his evidence of innocence. ... Some of the evidence is not credible and would be disregarded by a reasonable juror. ... Other evidence that Mr. Davis brought forward is too general to provide anything more than smoke and mirrors," the court found.
Davis can still appeal to the 11th Circuit U.S. Court of Appeals, and if that fails, to the Supreme Court again.
His sister, Martina Correia, said Tuesday afternoon she had not yet had a chance to discuss the decision with Davis, who is sitting on death row at Baldwin State Prison in Hardwick, Georgia. CNN