There is a small town with a strange custom. Residents each own a single pebble, painted blue or red, which they always carry in their pockets. Those with blue pebbles always tell the truth, and those with red pebbles always lie. Each resident also knows the color of every other resident's pebble.
The town has an eccentric mayor, who is the sole resident not abiding by the custom. The mayor also carries a pebble (blue or red), but can say both true statements and false statements.
One day the town's bank gets robbed. You are a detective, sent to investigate the crime. You know for sure the getaway car was either blue or red, but you would like to know which. The witnesses at the scene make the following statements:
Alex: I didn't get a good look at the getaway car.
Beth: The getaway car was the same color as Alex's pebble.
Carl: Everyone whose name starts with a vowel has the same color pebble.
Doug: Either Beth or Grace (or possibly both) have a pebble that is a different color than my own.
Emily: Irina's pebble is red.
Floyd: Between me, Grace, and Alex, we have an odd number of red pebbles.
Grace: The mayor is not Alex, Doug, Floyd, or me.
Hal: My pebble is blue and so is Carl's.
Irina: At least one of Emily, Hal, or Carl has a pebble the same color as mine.
Unfortunately, you do not know the mayor's name, nor can you see the color of any witness' pebble. Can you determine the color of the getaway car?