Ranking at depth 18
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 111
- **Shot1**: Contains cocktail2 (Goal constraint 1 satisfied).
- **Shot2**: Clean and empty (Goal constraint 2 not satisfied).

### State 113
- **Shot1**: Contains cocktail2 (Goal constraint 1 satisfied).
- **Shot2**: Clean and empty (Goal constraint 2 not satisfied).

### State 117
- **Shot1**: Contains cocktail2 (Goal constraint 1 satisfied).
- **Shot2**: Clean and empty (Goal constraint 2 not satisfied).

### State 119
- **Shot1**: Contains cocktail2 (Goal constraint 1 satisfied).
- **Shot2**: Clean and empty (Goal constraint 2 not satisfied).

### State 120
- **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 relative closeness to satisfying the second constraint, we would need more information about the intermediate steps or potential actions to achieve the second goal.

Given the current information, the ranking based on the number of satisfied constraints is:

```ranking
111, 113, 117, 119, 120
```

All states are equally ranked because they all satisfy the same number of goal constraints.

Final ranking:
Rank 1: State ID 111
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: not clean, contains ingredient2, held by left hand- shaker_1: contains ingredient1, not clean, not empty, at fill level l1, unshaken, on the table- dispenser_1: contains ingredient1 (color: red), above shot_1- dispenser_2: contains ingredient2 (color: blue), above shot_3- left_hand: holding shot3- right_hand: empty- cocktail_1: defined by mixing ingredient1 and ingredient2- cocktail_2: defined by mixing ingredient1 and ingredient2

Rank 2: State ID 113
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient2, not clean, not empty, held by right hand.- Shaker1: Contains ingredient1, not clean, not 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.

Rank 3: State ID 117
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient2, not clean, not empty, in right hand.- Shaker1: Contains ingredient1, not clean, not 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.

Rank 4: State ID 119
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Clean, empty, held by the left hand.- Shaker1: Contains ingredient1, not clean, not empty, unshaken, at fill level l1, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 5: State ID 120
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: Contains ingredient1, not clean, not 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.

