One Hour, One Test, One Dead Horse

Prove that:
If there is something which is a cube and is small,
Then there is something that is a cube and something that is small.

Prove that:
If everything is either a cube or a tetrahedron,
And something is not a cube,
Then something is a tetrahedron.

The above problems represented more than half of my Symbolic Logic final. A child could do them, and I don't expect anyone in my class to get less than a B on the test.

It was open book, open notes (and we actually did one of the above test question in class, if I'm not mistaken) and utterly shameful.

Why did my college hire such a professor? Why does he have tenure? And why, if there are reasonable answers to the last two questions, am I here at all?

To be fair, I should note that only a final this easy could have saved my grade in this class. I didn't somehow deserve such a final, however.