Ositus

def all_partitions(string):
	for cutpoints in range(1 << (len(string)-1)):
		result = []
		lastcut = 0
		for i in range(len(string)-1):
			if (1 << i) & cutpoints != 0:
				result.append(string[lastcut:(i+1)])
				lastcut = i+1
		result.append(string[lastcut:])
		yield result

a = 0

for partition in all_partitions(input()):
	if all(map(lambda x: len(x) == len(set(x)), partition)):
		a += 1

print(a)

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 6

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 7

Group: 3

Verdict: TIME LIMIT EXCEEDED