请教虚拟语气的用法

shiningsmile

GWD13上面一题：
Several financial officers of the company spoke on condition that they not be named in the press reports.
A. that they not be named
B. that their names will not be used
C. that their names are not used
D. of not having their names
E. of not naming them

选A，看了好多帖子，都说用的是subjunctive语气，请问什么时候改用虚拟语气呢？我见过的好多虚拟语气是以下形式的：
将来    动词过去式(be用were)should + 动词原形were to + 动词原形    would / should / might / could + 动词原形现在    动词过去式(be 用 were)    would / should / might / could + 动词原形过去    had +动词过去分词    would / should / might / could have + 动词过去分词
这道题A的用法和require，demand等雷同了，为什么要这样用虚拟语气呢？而不是像上面列的那样用？
请指教！