Ranking at depth 17
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 100
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 101
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 103
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 105
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

### State 107
- **Shot1**: Contains cocktail2 (Goal 1 satisfied).
- **Shot2**: Clean and empty (Goal 2 not satisfied).

All states satisfy the first goal constraint (Shot1 contains cocktail2), but none satisfy the second constraint (Shot2 contains cocktail1). Therefore, all states are equally close to the goal, 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. For now, based on the constraints alone, the ranking is:

```ranking
100, 101, 103, 105, 107
```

Each state satisfies one of the two goal constraints, so they are ranked equally.

Final ranking:
Rank 1: State ID 100
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: clean, empty, 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 101
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Clean, 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 103
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Clean, empty, 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: Holding shot3.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

Rank 4: State ID 105
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, 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 107
State Description: - Shot1: Contains cocktail2, not clean, not empty, on the table.- Shot2: Clean, empty, on the table.- Shot3: Clean, empty, held by left hand.- Shaker1: Contains ingredient1, not empty, not clean, unshaken, at fill level l1, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding clean, empty shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient1 and ingredient2.- Cocktail2: Transferred to shot1.

