Did Einstein contradict himself? Is E = MC2 an oxymoron?

Did Einstein contradict himself?
I woke up this morning thinking about Einstein’s Theory of Relativity.
–Einstein said that time goes slower if you travel at the speed of light–186,000 miles per second.
–Einstein also said that the speed of light is a constant–that it never changes.
–However, since speed is a factor of time; if time slows down at the speed of light, then a second would take longer and therefore the speed of light would be faster.
–In other words, if time is relative, then the speed of light (which is based on time) would also be relative and if it is relative it can’t be constant.

And if the speed of light is not “C” (constant); how can Energy equal mass times the speed of light squared (E = MC squared)?  Would that make Einstein’s famous formula an oxymoron?

What do you think?

(After writing this I went to see the movie, Black or White, staring Kevin Costner and Octavia Spencer.  As the film began to run, one word appeared on the screen in giant letters — Relativity.)  It looked like this:

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