Ranking at depth 11
Model's reasoning and response:
To solve this problem, we need to evaluate each state based on how many goal constraints are satisfied. The goal constraints are:

1. p5 on floor 0 (n0)
2. p1 on floor 1 (n1)
3. p0 on floor 2 (n2)
4. p6 on floor 2 (n2)
5. p4 on floor 4 (n4)
6. p2 on floor 5 (n5)
7. p3 on floor 5 (n5)

Let's evaluate each state:

### State 104
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on board fast0 at floor 4 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on floor 2 (n2) ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

### State 105
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on floor 4 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on board slow0-0 ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

### State 106
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on floor 4 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on floor 2 (n2) ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

### State 108
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on board fast0 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on floor 2 (n2) ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

### State 114
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on board fast0 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on board slow0-0 ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

### State 116
- **p5** is on floor 0 (n0) ✔️
- **p1** is on floor 1 (n1) ✔️
- **p0** is on floor 4 ❌
- **p6** is on floor 2 (n2) ✔️
- **p4** is on board slow0-0 ❌
- **p2** is on floor 5 (n5) ✔️
- **p3** is on floor 4 ❌

**Constraints satisfied: 4**

All states satisfy 4 constraints. Since they are equal, we can rank them in any order. Here is one possible ranking:

```ranking
104, 105, 106, 108, 114, 116
```

Final ranking:
Rank 1: State ID 104
State Description: - **fast0**: At floor 4 (n4), 1/2 passengers (p0 on board).- **fast1**: At floor 1 (n1), 0/2 passengers.- **slow0-0**: At floor 2 (n2), 0/1 passengers.- **p0**: On board fast0 at floor 4 (n4).- **p1**: On floor 1 (n1).- **p2**: On floor 5 (n5).- **p3**: On floor 4 (n4).- **p4**: On floor 2 (n2).- **p5**: On floor 0 (n0).- **p6**: On floor 2 (n2).

Rank 2: State ID 105
State Description: - **fast0**: At floor 4 (n4), 0/2 passengers.- **fast1**: At floor 1 (n1), 0/2 passengers.- **slow0-0**: At floor 2 (n2), 1/1 passengers with p4 on board.- **p0**: On floor 4 (n4).- **p1**: On floor 1 (n1).- **p2**: On floor 5 (n5).- **p3**: On floor 4 (n4).- **p4**: On board slow0-0.- **p5**: On floor 0 (n0).- **p6**: On floor 2 (n2).

Rank 3: State ID 106
State Description: - fast0: At floor 5 (n5), 0/2 passengers.- fast1: At floor 1 (n1), 0/2 passengers.- slow0-0: At floor 2 (n2), 0/1 passengers.- p0: On floor 4 (n4).- p1: On floor 1 (n1).- p2: On floor 5 (n5).- p3: On floor 4 (n4).- p4: On floor 2 (n2).- p5: On floor 0 (n0).- p6: On floor 2 (n2).

Rank 4: State ID 108
State Description: - fast0: At floor 2 (n2), 1/2 passengers (p0).- fast1: At floor 0 (n0), 0/2 passengers.- slow0-0: At floor 2 (n2), 0/1 passengers.- p0: On elevator fast0.- p1: On floor 1 (n1).- p2: On floor 5 (n5).- p3: On floor 4 (n4).- p4: On floor 2 (n2).- p5: On floor 0 (n0).- p6: On floor 2 (n2).

Rank 5: State ID 114
State Description: - **fast0**: At floor 4 (n4), 1/2 passengers (p0 on board).- **fast1**: At floor 0 (n0), 0/2 passengers.- **slow0-0**: At floor 2 (n2), 1/1 passenger (p4).- **p0**: On board fast0.- **p1**: On floor 1 (n1).- **p2**: On floor 5 (n5).- **p3**: On floor 4 (n4).- **p4**: On board slow0-0.- **p5**: On floor 0 (n0).- **p6**: On floor 2 (n2).

Rank 6: State ID 116
State Description: - **fast0**: At floor 4 (n4), 0/2 passengers.- **fast1**: At floor 0 (n0), 0/2 passengers.- **slow0-0**: At floor 3 (n3), 1/1 passenger (p4 on board).- **p0**: On floor 4 (n4).- **p1**: On floor 1 (n1).- **p2**: On floor 5 (n5).- **p3**: On floor 4 (n4).- **p4**: On board slow0-0.- **p5**: On floor 0 (n0).- **p6**: On floor 2 (n2).

