B737 Undifferentiated or Other Model
Flight Crew Total 2414
Human-Machine Interface; Situational Awareness
Aircraft Equipment Problem Less Severe; Conflict Airborne Conflict
Flight Crew Took Evasive Action; Flight Crew FLC complied w / Automation / Advisory
Aircraft; Airspace Structure
We were instructed to level off at 6000 on the vector/departure out. Traffic was called out for us (VFR) and we began [our] search; although we were in and out of layered clouds. Aircraft of interest showed on our TCAS and we monitored. TCAS notified us of potential conflict 'Traffic'; then directed 'Climb Climb' then followed that direction with 'Descend' We accomplished both instructions In Accordance With Flight Manual direction.ATC was notified; although he did not understand why we climbed since traffic was above us. We don't know either; but we followed the clear instructions of the TCAS (first climb; then descend). We ended up acquiring the VFR civil aircraft (high-wing Cessna) above and to our right; well clear. ATC was notified of us being clear of traffic and we resumed the departure.
[Report contained no additional information.]
Boeing 737 flight crew reported TCAS announced a climb directive when traffic was above.