Implicit use of destructor

I have a class with a deleted destructor (in practice, it needs outside help to be destroyed):

struct indestructible {
    indestructible(indestructible&&);
    ~indestructible() = delete;
};

When I try to use its move constructor, the compiler complains:

struct user {
   indestructible ind;
   user(indestructible&& ind) : ind(std::move(ind)) {}
};

indestructible.cc:11:3: error: attempt to use a deleted function
user(indestructible&& ind) : ind(std::move(ind)) {}
^
indestructible.cc:6:3: note: '~indestructible' has been explicitly marked  deleted here
    ~indestructible() = delete;

What's going on? there are no other members that could throw, and neither does the constructor body, so why is there any cause for the move constructor to invoke the destructor?