Strength and muscles
Strength does not inherently correlate with muscle size.
Increasing your neural activationIncreasing your neural activation, that is, simply utilizing more of the muscle fibers, can greatly increase your strength without the fibers being significantly larger. Certain people train specifically for this, ex. sprinters, as the increased mass would slow them down again.
That's not gonna get you to lifting 6 tons by itself, but could be a starting point. Very efficient neural activation.
Not all muscle fibers are equal.
Different fibers are specialized at different things. Think heart vs. pecs. While it is very specialized, the estimated bite force for a human is around 135kg. The related muscle is much smaller than other muscles typically associated with those numbers.
While I don't know of any existing muscle fibers in nature that would scale up to 6 tons of lifting in a human, that could be something to explore.
Bones and tendons
As mentioned in another answer, there is more to lifting than simply your muscle. Bones and tendons might not be able to cope with the forces. You wouldn't want your guy grip something hard, and have the tendons to his fingers snap from the force, leaving him unable to grip for the future.
Therefore your chap would need some solid upgrades to his bones and tendons, to prevent the muscles from destroying them with the forces exerted.
Lifting and muscle strength
Lifting strength does not inherently correlate with muscle strength.
Many who do weightlifting notice that if they get proper form, they can lift more. Typically this would be because they are better balanced or activate supporting muscles that help during the lift. It is also safer and better for your body.
That's more of a heads up that even if your guy is super strong, he wouldn't inherently be able to lift super heavy. He might be limited by form, or even hurt himself due to the lack of it.
He'd still beat everyone at bench press though...