If this is the "by any means necessary" thing, Batman could easily escape from the spidey sense and Wolverine's heightened senses and prepare to beat them on their next encounter. By the time Wolverine tracks Batman, Bruce will have enough time to figure out what to do.
If this is like..closed off kinda battle then Batman could stall them for awhile maybe 1 or 2 comics but Wolverine would just slash him to death.
well any means necessary...batman gets the batwing to hone in on his location while he falls back throwing everything at his disposal to buy time....batwing arrives kaboom....wolverine and spiderman are down and out......so it's not entirely inplausible for batman to win via any means neccasary......
but I see it happening like this spider webbing goes low, spiderman goes high wolverine hits him hard....end of fight...