C++ :: Templates / Multiple Inheritance And Ambiguous Overloads?

Let's say I have a templated base class:

Code:
template <typename Input>
class Consumer
{
public:
void consume(Input input)
{
// do something
}
};

Now, I have a class which derives from this twice (A and B are unrelated, but otherwise unimportant classes):

Code:
class A;
class B;
class Derived: public Consumer<A>, public Consumer<B>
{
};

Now, elsewhere in the code I do this:

Code:
{
A myA;
Derived myDerived;
myDerived.consume(myA);
}

This looks like it should be simple enough, but g++ 4.8.1 is giving me a "request for member is ambiguous" error.