Ranking at depth 16
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 cocktail1, which is the cocktail created by mixing ingredient2 (part1) and ingredient1 (part2).
2. Shot2 must contain cocktail2, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).

Let's evaluate each state:

### State 62
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 66
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 68
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 70
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

### State 71
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)

All states satisfy the first constraint but not the second. Therefore, they are equally close to the goal state. Since no state satisfies both constraints, they are all ranked equally.

```ranking
62, 66, 68, 70, 71
```

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

Final ranking:
Rank 1: State ID 62
State Description: - Shot1: Contains cocktail1, on the table, no longer clean or empty.- Shot2: Clean, empty, on the table.- Shot3: Clean, empty, held by left hand.- Shaker1: Contains ingredient1, not clean, at fill level l1, unshaken.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Now in shot1, defined as mixed from ingredient2 and ingredient1.- Cocktail2: Defined but not yet mixed.

Rank 2: State ID 66
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient1, held by left hand, not clean, not empty.- Shaker1: Clean, empty, on the table, not held, at fill level l0.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined by mixing ingredient1 and ingredient2.

Rank 3: State ID 68
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient1, held by left hand, not clean, not empty.- Shaker1: Empty, clean, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

Rank 4: State ID 70
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, held by left hand, clean.- Shaker1: Contains ingredient1, on the table, not clean, not empty, fill level l1.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

Rank 5: State ID 71
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient1, now on the table, not empty.- Shaker1: Clean, on the table, fill level reset to l0.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Empty.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

