WASHINGTON — The Supreme Court will hear arguments Wednesday in a case that could make it harder for convicted murderers to show their lives should be spared because they are intellectually disabled.

The justices are taking up an appeal from Alabama, which wants to put to death a man who lower federal courts found is intellectually disabled and shielded from execution.

The Supreme Court prohibited execution of intellectually disabled people in a landmark ruling in 2002.

Joseph Clifton Smith, 55, has been on death row roughly half his life after his conviction for beating a man to death in 1997.

The issue in Smith’s case is what happens when a person has multiple IQ scores that are slightly above 70, which has been widely accepted as a marker of intellectual disability. Smith’s five IQ

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