  We explore the contributions of adiabatic and non-adiabatic spin-transfer
torques (STT) of a spin-polarized current to the thermally activated creep
motion of domain-walls in a thin (Ga,Mn)(As,P) film with perpendicular
anisotropy. For a domain-wall transverse to current, the non-adiabatic STT is
found to act as an external magnetic field. Close to the compensation between
these two terms, the adiabatic contribution is strongly enhanced. The
domain-wall velocity may be both increased or reduced by the adiabatic STT,
which we associate to variations of creep pinning energy barrier with
domain-wall magnetic texture. Far from compensation, the contribution of
adiabatic STT is negligible. Field and current driven domain-wall motion
present common universal behaviors described by the quenched Edwards Wilkinson
universality class.
