The Texas Supreme Court on Friday denied a state house committee’s attempt to delay the execution of a man convicted of murder in the 2002 death of his 2-year-old daughter, clearing a path for a new execution date.

Robert Roberson has gained bipartisan from lawmakers and medical experts who say he was convicted on faulty evidence of the shaken baby diagnosis.

The Texas Supreme Court has ruled that the execution of Robert Roberson, convicted in his daughter’s “shaken baby” death, can’t be stopped by a legislative subpoena, after lawmakers made a last-ditch effort to pause the process.