¿Es posible escribir un CTE dentro de un CTE?

Quiero que siga esta lógica, pero al intérprete no le gusta este código.

with outertest as(

    with test as (
        select 
            SRnum, 
            gamenumber, 
            StartOfDistribution, 
            ApplicationNumber   
        from #main
        where startofdistribution = '2011-06-14 00:00:00.000'
        and SRnum = '313'
        --order by SRnum, gamenumber, StartOfDistribution, ApplicationNumber
    )
    select
        ApplicationNumber
        ,count(*) as RetailerAppearance
    from test
    group by ApplicationNumber
    having count(*) = 4

) select count(*) from outertest