Does sound card not contain audio processor?
Solution 1:
You have two Intel HDA audio devices, one for HDMI audio, and one for the others.
This is independent from the AMD TrueAudio co-processor, which is a DSP that can be used for audio calculations. There seems to be a kernel module for it, but I don't know which software (if any) uses this module.
All of this hardware is on your CPU/system chipset. None if it is a "sound card" (it's not an external card in the first place). Neither of the two audio devices "contains" the audio processor. Nor is "the sound card equal to the audio processor".