  We establish a new partial $C^{0}$-estimate along a continuity path mixed
with conic singularities along a simple normal crossing divisor and a positive
twisted $(1,1)$-form on Fano manifolds. As an application, this estimate
enables us to show the reductivity of the automorphism group of the limit
space, which leads to a proof of Yau-Tian-Donaldson Conjecture admitting some
types of holomorphic vector fields.
