In Terminator: The Sarah Connor Chronicles, the T-888 known as Cromartie is shown to be strong enough to flip a school bus over (as seen in the first episode when the T-888 was trying to kill John Connor before being rescued by Cameron). The lightest school buses have a mass of 5 tons while the heaviest school buses can have a mass of 17.9 tons (nearly 18 tons). Assuming that the T-888 we seen in Terminator: The Sarah Connor Chronicles is more durable than the T-800 we see in James Cameron's films because of the newer model (The T-800 in James Cameron's films was invulnerable to 20'th century firearms, grenades, being hit by and being dragged underneath a truck going at high speed that had a mass of several tons and a truck exploding whilst the T-800 was sitting inside it), could the T-888 beat Spiderman? Spiderman can lift 10 tons, but could the T-888 beat it.
This is a random encounter with no preparation time for either of them. Who wins this?