Ranking at depth 12
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 state requires:

1. Shot1 must contain cocktail2.
2. Shot2 must contain cocktail1.

Let's evaluate each state:

### State 58
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 59
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 60
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 61
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

### State 66
- **Shot1**: Contains cocktail2. (Goal constraint 1 satisfied)
- **Shot2**: Clean and empty. (Goal constraint 2 not satisfied)

All states satisfy the first goal constraint but none satisfy the second. Therefore, all states are equally close to the goal state, satisfying one out of two constraints.

Since all states satisfy the same number of constraints, they are equally ranked. However, if we were to consider the sequence of actions or any other heuristic, it would be arbitrary without additional information. Thus, the ranking based on the current information is:

```ranking
58, 59, 60, 61, 66
```

This ranking reflects that all states are equally close to the goal state, satisfying one of the two constraints.

Final ranking:
Rank 1: State ID 58
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, 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 2: State ID 59
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, 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 3: State ID 60
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, held by right hand.- 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: Holding shot3.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 4: State ID 61
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, 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 66
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, grasped by the right hand.- Shaker1: Clean, empty, unshaken, at fill level l1, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Empty.- Right hand: Holding shot3.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

