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

1. Shot1 must contain cocktail2, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).
2. Shot2 must contain cocktail1, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).

Let's evaluate each state:

### State 46
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 49
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 51
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 53
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 56
- **Shot1**: Clean and empty. (Goal constraint 1 not satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 57
- **Shot1**: Clean and empty. (Goal constraint 1 not satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### Ranking
- States 46, 49, 51, and 53 each satisfy one goal constraint (Shot1 contains cocktail2).
- States 56 and 57 satisfy no goal constraints.

Since states 46, 49, 51, and 53 are equally good, they are ranked higher than states 56 and 57, which satisfy no constraints.

```ranking
46, 49, 51, 53, 56, 57
```

Final ranking:
Rank 1: State ID 46
State Description: - shot_1: contains cocktail2, not clean, not empty, on the table to the left- shot_2: clean, empty, on the table in the center- shot_3: empty, used, on the table- shaker_1: clean, empty, at fill level l0, unshaken, held by left hand- dispenser_1: contains ingredient1 (color: red), above shot_1- dispenser_2: contains ingredient2 (color: blue), above shot_3- left_hand: holding shaker1- right_hand: empty- cocktail_1: defined by mixing ingredient1 and ingredient2- cocktail_2: defined by mixing ingredient1 and ingredient2

Rank 2: State ID 49
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, on the table.- Shaker1: Clean, empty, unshaken, at fill level l0, held by left hand.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shaker1.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 3: State ID 51
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, on the table.- Shaker1: Empty, clean, unshaken, at fill level l1, held by left hand.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shaker1.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 4: State ID 53
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, on the table.- Shaker1: Clean, empty, unshaken, at fill level l1, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Empty.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 5: State ID 56
State Description: - shot_1: clean, empty, on the table to the left- shot_2: clean, empty, on the table in the center- shot_3: empty, used, on the table- shaker_1: clean, empty, at fill level l0, on the table- dispenser_1: contains ingredient1 (color: red), above shot_1- dispenser_2: contains ingredient2 (color: blue), above shot_3- left_hand: empty- right_hand: empty- cocktail_1: defined by mixing ingredient1 and ingredient2- cocktail_2: defined by mixing ingredient1 and ingredient2

Rank 6: State ID 57
State Description: - shot_1: clean, empty, on the table to the left- shot_2: clean, empty, on the table in the center- shot_3: empty, used, on the table- shaker_1: clean, empty, at fill level l0, now clean after washing, held by left hand- dispenser_1: contains ingredient1 (color: red), above shot_1- dispenser_2: contains ingredient2 (color: blue), above shot_3- left_hand: holding clean, empty shaker1- right_hand: empty- cocktail_1: defined by mixing ingredient1 and ingredient2- cocktail_2: defined by mixing ingredient1 and ingredient2

