Then the other softfork(maybe miner driven softfork) becomes hardfork. It seems that the term is not that critical.
Thank you.
Discussion
Two soft forks in disagreement does not equal one hard fork. The rejecting node rejects, and the activating node signals/accepts. All actors take risk in being on the wrong side of a reorg, but the miners have to choose especially carefully, because they have risked their income.