"I think ,after landing,the spoilers will go fully up,regardless of control wheel position,commanded by the armed speedbrake,.."
The maintenance manual doesn't seem to suggest this, gents. During a spoiler mixer check, the speedbrake lever is placed in the UP position and the control wheel turned 87 degrees CCW... and one of the checks is to ensure that spoiler No. 9 is "not in the fully down position" (yet specifies that the spoilers 2 and 4 are at 32/37 (+/- 3 ) degrees respectively... around their fully up position).
Other than the spoiler combination 9, 11 and 2 for a clockwise turn of the wheel, no other spoilers are mentioned, but this is not to suggest that others don't move down also.
Rgds.
NSEU.