The second tournament
After Arsenal's boring string of scoreless draws in the first tournament, Chelsea, Manchester City and Liverpool disinvited the Gunners and asked Manchester United to replace them. As before, each team played exactly one game against every other team.
Fact 1: There were precisely 9 total goals scored.
Fact 2: Manchester United was held scoreless, losing all 3 games by identical margins.
Fact 3: Chelsea played 1-1 draws against both Manchester City and Liverpool.
Fact 4: Manchester City won the tournament.
What was the final score of the Manchester City-Liverpool game?