STARKE, Fla. -

A man convicted of raping and murdering an 11-year-old Central Florida girl in 1994 is set to be executed.

The execution of 45-year-old Eddie Wayne Davis is scheduled for 6 p.m. Thursday at Florida State Prison. It would be the state's sixth this year.

Davis was convicted in 1995 of kidnapping Kimberly Waters from an ex-girlfriend's home in Lakeland before raping and murdering her, then leaving her body in a dumpster.

Florida uses a three-drug cocktail to execute prisoners: midazolam hydrochloride, vecuronium bromide and potassium chloride.

The drugs are administered intravenously, and are intended to induce unconsciousness, paralysis and cardiac arrest.

Davis has filed a final appeal with the U.S. Supreme Court, arguing that a health problem he suffers from makes the use of midazolam extremely painful and would cause unnecessary suffering.