Ranking at depth 15
Model's reasoning and response:
To solve this problem, we need to evaluate each state against the goal constraints and rank them based on how many constraints are satisfied. The goal is to have:

- Curb_0 with car_0
- Curb_1 with car_1
- Curb_2 with car_2
- Curb_3 with car_3

Let's evaluate each state:

### State 127
- **Curb_0**: car_0 (Correct)
- **Curb_1**: car_2 (Incorrect)
- **Curb_2**: Empty (Incorrect)
- **Curb_3**: car_1 with car_3 double parked (Incorrect)

**Constraints Satisfied**: 1 (Curb_0)

### State 130
- **Curb_0**: car_0 (Correct)
- **Curb_1**: Empty (Incorrect)
- **Curb_2**: car_3 with car_2 double parked (Incorrect)
- **Curb_3**: car_1 (Incorrect)

**Constraints Satisfied**: 1 (Curb_0)

### State 132
- **Curb_0**: car_0 (Correct)
- **Curb_1**: Empty (Incorrect)
- **Curb_2**: car_3 (Incorrect)
- **Curb_3**: car_1 with car_2 double parked (Incorrect)

**Constraints Satisfied**: 1 (Curb_0)

### State 134
- **Curb_0**: car_0 with car_3 double parked (Incorrect)
- **Curb_1**: car_2 (Incorrect)
- **Curb_2**: Empty (Incorrect)
- **Curb_3**: car_1 (Incorrect)

**Constraints Satisfied**: 0

### State 137
- **Curb_0**: car_0 (Correct)
- **Curb_1**: car_2 (Incorrect)
- **Curb_2**: Empty (Incorrect)
- **Curb_3**: car_1 with car_3 double parked (Incorrect)

**Constraints Satisfied**: 1 (Curb_0)

### Ranking
All states except State 134 satisfy one constraint. State 134 satisfies none. Therefore, the ranking is:

```ranking
127, 130, 132, 137, 134
```

This ranking is based on the number of goal constraints satisfied, with states satisfying more constraints ranked higher.

Final ranking:
Rank 1: State ID 127
State Description: Curb_0 contains car_0, clear. Curb_1 contains car_2, clear. Curb_2 is clear. Curb_3 contains car_1, not clear, with car_3 double parked behind it. Car_0 is parked and clear. Car_1 is parked and not clear. Car_2 is parked and clear. Car_3 is double parked and clear.

Rank 2: State ID 130
State Description: Curb_0 contains car_0, clear. Curb_1 is empty, clear. Curb_2 contains car_3 with car_2 double parked behind it, car_3 not clear, car_2 clear. Curb_3 contains car_1, clear. Car_0 is parked and clear. Car_1 is parked and clear. Car_2 is double parked and clear. Car_3 is parked and not clear.

Rank 3: State ID 132
State Description: Curb_0 contains car_0, clear. Curb_1 is clear. Curb_2 contains car_3, clear. Curb_3 has car_1 with car_2 double-parked behind it, making car_1 not clear while car_2 is clear. Car_0 is parked and clear. Car_1 is not clear. Car_2 is double-parked and clear. Car_3 is parked and clear.

Rank 4: State ID 137
State Description: Curb_0 has car_0 parked, clear. Curb_1 has car_2 parked, clear. Curb_2 is empty, clear. Curb_3 has car_1 parked, not clear, with car_3 double parked behind it. Car_0 is parked, clear. Car_1 is parked, not clear. Car_2 is parked, clear. Car_3 is double parked, clear.

Rank 5: State ID 134
State Description: Curb_0 has car_0 parked, not clear, with car_3 double parked behind it. Curb_1 has car_2 parked, clear. Curb_2 is empty, clear. Curb_3 has car_1 parked, clear. Car_0 is not clear. Car_1 is parked, clear. Car_2 is parked, clear. Car_3 is double parked, clear.

