There is no denying the fact that.语法分析一下,

denying the fact that +同位语从句 看成A,就变成There is no A.
再看A,"that +同位语从句"补充说明 the fact ,省略掉来看 denying the fact .
denying the fact 可看为一个【整体】,是 deny the fact 的动名词形式.
类似的有Playing computer games is intersting.【Playing computer games】为一整体,别单看Playing.