Ranking at depth 14
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. Shot1 must contain cocktail2.
2. Shot2 must contain cocktail1.

Let's evaluate each state:

### State 38
- **Shot1**: Clean, empty (does not satisfy constraint 1).
- **Shot2**: Contains cocktail1 (satisfies constraint 2).

**Constraints Satisfied**: 1 (constraint 2)

### State 39
- **Shot1**: Clean, empty (does not satisfy constraint 1).
- **Shot2**: Contains cocktail1 (satisfies constraint 2).

**Constraints Satisfied**: 1 (constraint 2)

### State 40
- **Shot1**: Clean, empty (does not satisfy constraint 1).
- **Shot2**: Contains cocktail1 (satisfies constraint 2).

**Constraints Satisfied**: 1 (constraint 2)

### State 41
- **Shot1**: Clean, empty (does not satisfy constraint 1).
- **Shot2**: Contains cocktail1 (satisfies constraint 2).

**Constraints Satisfied**: 1 (constraint 2)

All states satisfy the same number of constraints (1 out of 2). Therefore, they are equally close to the goal state. Since no state satisfies both constraints, they are all ranked equally.

```ranking
38, 39, 40, 41
```

Each state satisfies the second constraint, where Shot2 contains cocktail1, but none satisfy the first constraint. Thus, they are all equally ranked.

Final ranking:
Rank 1: State ID 38
State Description: - Shot1: Clean, empty, on the table.- Shot2: Contains cocktail1, used, on the table.- Shot3: Empty, used, held by left hand.- Shaker1: Clean, empty, unshaken, at fill level l0, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Created by mixing ingredient1 and ingredient2.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 2: State ID 39
State Description: - Shot1: Clean, empty, on the table.- Shot2: Contains cocktail1, used, on the table.- Shot3: Clean, empty, held by left hand.- Shaker1: Clean, empty, unshaken, at fill level l0, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Created by mixing ingredient1 and ingredient2.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 3: State ID 40
State Description: - Shot1: Clean, empty, on the table.- Shot2: Contains cocktail1, used, on the table.- Shot3: Clean, empty, held by left hand.- Shaker1: Clean, empty, unshaken, at fill level l0, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Created by mixing ingredient1 and ingredient2.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 4: State ID 41
State Description: - Shot1: Clean, empty, on the table.- Shot2: Contains cocktail1, used, on the table.- Shot3: Empty, used, held by left hand.- Shaker1: Clean, empty, unshaken, at fill level l0, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Created by mixing ingredient1 and ingredient2.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

