Ranking at depth 20
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 128
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 129
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 130
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 131
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 132
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 134
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

All states satisfy only the first goal constraint. None of the states satisfy the second goal constraint. 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, we might assume that the later states are closer to achieving the second goal due to the progression of actions. But based on the constraints alone, they are all equal.

```ranking
128, 129, 130, 131, 132, 134
```

Final ranking:
Rank 1: State ID 128
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, not clean, on the table- shaker_1: contains ingredient1 and ingredient2, not clean, not empty, at fill level l2, 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 129
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 and ingredient2, not clean, not empty, unshaken, at fill level l2.- 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 130
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: Contains ingredient1 and ingredient2, not clean, not empty, unshaken, at fill level l2, 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 131
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 and ingredient2, not clean, not empty, unshaken, at fill level l2, 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 132
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, in right hand.- Shaker1: Contains ingredient1 and ingredient2, not clean, not empty, unshaken, at fill level l2, 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 6: State ID 134
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Empty, not clean, held by the left hand.- Shaker1: Contains ingredient1 and ingredient2, not clean, not empty, unshaken, at fill level l2.- 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.

