Ranking at depth 2
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 constraints are:

1. Curb_3 should have Car_3.
2. Curb_2 should have Car_2.
3. Curb_1 should have Car_1.
4. Curb_0 should have Car_0.

Let's evaluate each state:

### State 6:
- Curb_0: Car_1 (not Car_0)
- Curb_1: Car_3 (not Car_1)
- Curb_2: Car_2 (correct)
- Curb_3: Car_0 (not Car_3)

**Constraints satisfied:** 1 (Curb_2 with Car_2)

### State 7:
- Curb_0: Empty (not Car_0)
- Curb_1: Car_1 (correct)
- Curb_2: Car_2 (correct)
- Curb_3: Car_0 with Car_3 double parked (not correct for either)

**Constraints satisfied:** 2 (Curb_1 with Car_1, Curb_2 with Car_2)

### State 9:
- Curb_0: Car_1 (not Car_0)
- Curb_1: Car_0 (correct)
- Curb_2: Car_3 (correct)
- Curb_3: Empty (not Car_3)

**Constraints satisfied:** 2 (Curb_1 with Car_0, Curb_2 with Car_3)

### State 10:
- Curb_0: Empty (not Car_0)
- Curb_1: Empty (not Car_1)
- Curb_2: Car_3 (correct)
- Curb_3: Car_0 with Car_1 double parked (not correct for either)

**Constraints satisfied:** 1 (Curb_2 with Car_3)

### State 11:
- Curb_0: Car_1 with Car_0 double parked (not correct for either)
- Curb_1: Empty (not Car_1)
- Curb_2: Car_3 (correct)
- Curb_3: Empty (not Car_3)

**Constraints satisfied:** 1 (Curb_2 with Car_3)

### Ranking:
1. **State 7**: 2 constraints satisfied (Curb_1 with Car_1, Curb_2 with Car_2)
2. **State 9**: 2 constraints satisfied (Curb_1 with Car_0, Curb_2 with Car_3)
3. **State 6**: 1 constraint satisfied (Curb_2 with Car_2)
4. **State 10**: 1 constraint satisfied (Curb_2 with Car_3)
5. **State 11**: 1 constraint satisfied (Curb_2 with Car_3)

Since States 7 and 9 both satisfy 2 constraints, they are ranked higher. Among the states satisfying only 1 constraint, they are ranked based on the order of evaluation.

```ranking
7, 9, 6, 10, 11
```

Final ranking:
Rank 1: State ID 7
State Description: - Curb_0: Is clear and empty.- Curb_1: Car_1 is parked on it and is clear.- Curb_2: Car_2 is parked on it and is clear.- Curb_3: Car_0 is parked in front (not clear), and Car_3 is double parked behind it and is clear.

Rank 2: State ID 9
State Description: - Curb_0: Car_1 is parked on it and is clear.- Curb_1: Car_0 is parked on it and is clear.- Curb_2: Car_3 is parked on it and is clear.- Curb_3: is clear and empty.- Car_1: is parked at curb_0 and is clear.- Car_3: is parked at curb_2 and is clear.- Car_2: is not present in any curb.- Car_0: has moved to curb_1 and is clear.

Rank 3: State ID 6
State Description: - Curb_0: Car_1 is parked on it and is clear.- Curb_1: Car_3 is parked on it and is clear.- Curb_2: Car_2 is parked on it and is clear.- Curb_3: Car_0 is parked on it and is clear.

Rank 4: State ID 10
State Description: - Curb_0: is clear and empty.- Curb_1: is clear and empty.- Curb_2: Car_3 is parked on it and is clear.- Curb_3: Car_0 is parked on it and not clear, with Car_1 double parked behind it and now clear.- Car_0: is parked at curb_3 and not clear.- Car_1: is double parked behind Car_0 at curb_3 and is clear.- Car_2: not present, retrieval needed.- Car_3: is parked at curb_2 and is clear.

Rank 5: State ID 11
State Description: - Curb_0: Car_1 is parked on it. Car_0 is double parked behind car_1. Car_1 is not clear. Car_0 is clear.- Curb_1: Is clear and empty.- Curb_2: Car_3 is parked on it and is clear.- Curb_3: Is clear and empty.- Car_1: Is parked at curb_0 and not clear.- Car_0: Is double parked behind car_1 and clear.- Car_3: Remains parked at curb_2 and clear.- Car_2: Positioned for later transfer once space in goal curbs opens.

