
AutoToS prompt:

This domain models the classic Sokoban game, where the robot needs to move around and push stones to specific locations while adhering to the constraints defined by the walls in the maze. 
The maze is defined by a grid of values 0,1, and 2, where 2 means it is a goal location for a stone, 1 means the cell is blocked, and either 0 or 2 means that the cell can be occupied. A cell is clear if it can be occupied, but is not occupied by either the player or any stone.

The actions are:

move: This action moves the player in a specified direction. To perform this action, the target location must be clear and adjacent to player's location. Performing this action will result in the player being at the target location and no longer at the starting location, meaning the starting location is now clear, while the target location is now not clear.

push: This action allows the player to push a stone in a specified direction. To perform this action, the player's location, the stone location, and the target location must line up in the same direction, and the target location must be clear. Performing the action results in player being at the stone's initial location and the stone is at the target location. Further, the player's previous location is clear, while the target location is not clear.

Assume that states are defined by a dictionary with keys at-player and at-stone. 
Here is an example of a state
{'at-player': (4, 4), 'at-stone': [(2, 2), (3, 3)]}
Here is an example of the grid:
[[1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 1, 1, 2, 2, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1]]

Provide a Python implementation of successor states function, receiving a state and a grid and returning a list of immediate successor states.

Model response:
python
```
def get_successor_states(state, grid):
    def is_clear(location):
        x, y = location
        return grid[x][y] == 0 or grid[x][y] == 2

    def is_valid_move(location):
        x, y = location
        return 0 <= x < len(grid) and 0 <= y < len(grid[0]) and is_clear(location)

    def move_player(direction):
        x, y = state['at-player']
        if direction == 'up':
            new_location = (x - 1, y)
        elif direction == 'down':
            new_location = (x + 1, y)
        elif direction == 'left':
            new_location = (x, y - 1)
        elif direction == 'right':
            new_location = (x, y + 1)
        else:
            return None

        if is_valid_move(new_location):
            new_state = state.copy()
            new_state['at-player'] = new_location
            return new_state
        return None

    def push_stone(direction):
        x, y = state['at-player']
        if direction == 'up':
            stone_location = (x - 1, y)
            new_stone_location = (x - 2, y)
        elif direction == 'down':
            stone_location = (x + 1, y)
            new_stone_location = (x + 2, y)
        elif direction == 'left':
            stone_location = (x, y - 1)
            new_stone_location = (x, y - 2)
        elif direction == 'right':
            stone_location = (x, y + 1)
            new_stone_location = (x, y + 2)
        else:
            return None

        if stone_location in state['at-stone'] and is_valid_move(new_stone_location):
            new_state = state.copy()
            new_state['at-player'] = stone_location
            new_state['at-stone'] = [new_stone_location if s == stone_location else s for s in new_state['at-stone']]
            return new_state
        return None

    directions = ['up', 'down', 'left', 'right']
    successor_states = []

    for direction in directions:
        move_result = move_player(direction)
        if move_result:
            successor_states.append(move_result)

        push_result = push_stone(direction)
        if push_result:
            successor_states.append(push_result)

    return successor_states
``

AutoToS prompt:

Provide only the python code that tests whether a state is a goal state for a given goal configuration. Assume that the goal configuration is provided by the 2-dimensional array as before. The function should receive a state and the 2-dimensional array and return True if the state is a goal state and False otherwise.

Model response:
python
```
def is_goal_state(state, grid):
    for stone in state['at-stone']:
        x, y = stone
        if grid[x][y] != 2:
            return False
    return True
``

System message:
Goal Soundness Test Passed
Soundness test

System message:
Successor States Soundness Test Passed
Completeness test
Successor Completeness Test Passed
Found solution of length 19, optimal: 49
Found solution of length 9, optimal: 35
Found solution of length 3, optimal: 51
Found solution of length 27, optimal: 107
Found solution of length 1, optimal: 35
Found solution of length 21, optimal: 69
Found solution of length 17, optimal: 95
Found solution of length 16, optimal: 76
Found solution of length 13, optimal: 83
Found solution of length 15, optimal: 92
Found solution of length 7, optimal: 429
Total success: 0, failure: 11, total expansions 133465, total generated 421188
