”It means you can only write software to do things humans can do.”For the things computers can do, they typically are way faster and way more reliable, but I don’t see how there could be anything software can do that humans can’t (quantum computing may change that)
Also, being able to explain what the computer did doesn’t imply being able to do it.
As a (silly) example, “We hashed the c.v. you sent us, getting a 150-digit number N. The N-th digit in the hexadecimal expansion of pi isn’t a zero, so you didn’t get invited for an interview” would be a perfectly good explanation of your hiring practices, even if you don’t know how to compute any of those decimals.