Additive Differential of XOR
The OP has provided the answer in a comment.

"In the second paper(V.Velichkov et al., The Additive Differential Probability of ARX), the table 2's order is not same as the original order. 

For example, $S[i] =0$ when $(s_1[i],s_2[i],s_3[i])=(0,0,-1)$. So, there exists a difference.