
module dining_philosophers
{
  type state_t = enum { THINKING, WAITING, EATING };
  type chopstick_t = boolean; // true if available, false if in use

  var phil1, phil2, phil3, phil4, phil5 : state_t;
  var chopstick1, chopstick2, chopstick3, chopstick4, chopstick5 : chopstick_t;

  init {
    phil1 = phil2 = phil3 = phil4 = phil5 = THINKING;
    chopstick1 = chopstick2 = chopstick3 = chopstick4 = chopstick5 = true;
  }

  next {
    // Example transition for phil1
    case
      phil1 == THINKING && chopstick1 && chopstick5 : {
        phil1' = WAITING;
      }
      phil1 == WAITING && chopstick1 && chopstick5 : {
        phil1' = EATING;
        chopstick1' = false;
        chopstick5' = false;
      }
      phil1 == EATING : {
        phil1' = THINKING;
        chopstick1' = true;
        chopstick5' = true;
      }
    esac

    // Similar transitions for phil2, phil3, phil4, phil5
    // Ensure to correctly model the use of adjacent chopsticks
  }

  // Property to check for deadlock
  invariant no_deadlock : !(phil1 == WAITING && phil2 == WAITING && phil3 == WAITING && phil4 == WAITING && phil5 == WAITING);

  control {
    v = unroll(10);
    check;
    print_results;
    if (! no_deadlock) {
      print "Deadlock detected.";
    } else {
      print "No deadlock within bounds.";
    }
  }
}
