This is the Superman that's "Faster than a speeding bullet, more powerful than a locomotive..." Yadayadayada. Spiderman has all feats.
Spider-man probably won't win easily, but considering Superman's damage threshold stops at artillery fire it won't be too hard. Spider-man with all of his feats is pretty nasty, lifting train cars over his head and all, but he is fighting someone "more powerful than a locomotive." Although he is insanely slower in travel speed, he makes up for it in being able to dodge Superman when he moves "faster than a speeding bullet". Someone should probably remind me more of "year one" Superman, but for now, he loses to Spider-man 7/10 times.