The teams is a sports competition are divided into six groups with five teams in each group. Each team plays the other teams in its group once only. Write a Prolog preciate schedule(S) that is true if S is a valid schedule. A schedule lists the fixtures for each day of the competition. In a fixture (A,B), team A is the home team and team B is the away team. A schedule is valid if:
there are no more than three matches on any day,
⚫ each team has the same number of home and away fixtures in the whole schedule, and
⚫ each team has at least four rest days between fixtures.
Ideally the schedule S should be as short as possible, and the predicate schedule should be able to generate multiple valid schedules.
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