Python script to return family of sets formed by taking union of all combinations of input sets

sets_union_family.py

#!/usr/bin/env python3
"""
Python script to return family of sets formed by taking union of all combinations of input sets
Input: Number of input sets on first line, Space separated set elements on subsequent lines
Output: List containing members of union family of input sets
Example:
$~ ./sets_union_family.py
3
1 2
2 3
3 1
[{1, 2}, {1, 3}, {2, 3}, {1, 2, 3}]
"""
import itertools  # For combinations
import multiprocessing  # For Process

def get_union(*sets):
    """Returns union of given sets"""
    return sets[0].union(*sets)

def get_hash(set):
    """
    Returns comma separated string representation of given set with 
    elements sorted in asccending order.
    """
    return f"{{{', '.join([str(i) for i in sorted(set)])}}}"

def get_union_family_sets_list(dict, input_sets_list, r):
    """Returns list containing the sets constituting the union family"""
    union_family_sets_dict = {}
    set_combinations = itertools.combinations(input_sets_list, r)
    for combination in set_combinations:
        union_set = tuple(get_union(*combination))
        if union_set not in union_family_sets_dict:
        	union_family_sets_dict[get_hash(union_set)] = 1
    dict[r] = union_family_sets_dict.keys()


def main():
    # Input sets
    input_sets_list = []
    num_sets = int(input())
    for _ in range(num_sets):
        set_elements = [int(num) for num in input().split(' ')]
        input_sets_list.append(set(set_elements))

    # Use separate process for each iteration
    p = []
    union_family_sets_dict = multiprocessing.Manager().dict()
    for i in range(1, num_sets + 1):
        p.append(multiprocessing.Process(
            target=get_union_family_sets_list, 
            args=(union_family_sets_dict, input_sets_list,i)
        ))
        p[i - 1].start()
    for process in p:
        process.join()
    
    # Eliminate duplicates, converting to tuples as sets aren't hashable
    all_sets = []
    for string_list in union_family_sets_dict.values():
        all_sets += string_list
    union_family_set = set(all_sets)

    print()
    for set_ in union_family_set:
        print(set_)

if __name__ == '__main__':
    main()

# TODO: Try https://gist.github.com/axolx/3068001

"""
28
1 2
3 4
5 6
7 8
1 2 3
1 2 4
1 2 5
1 2 6
1 2 7
1 2 8
1 3 4
1 5 6
1 7 8
2 3 4
2 5 6
2 7 8
3 4 5
3 4 6
3 4 7
3 4 8
3 5 6
3 7 8
4 5 6
4 7 8
5 6 7
5 6 8
5 7 8
6 7 8
"""