$${\begin{array}{l|l|l|l}
\textbf{for u}& \textbf{for v}& \textbf{for w} \\\hline \delta(s,abbaba) & \delta(s,bab) & \delta(s,aabb) \\\hline
\quad \vdash \delta(x,bbaba) &\quad \vdash \delta(t,ab) &\quad \vdash \delta(x,abb) \\\hline
\quad \vdash \delta(x,baba) &\quad \vdash \delta(t,b) &\quad \vdash \delta(s,bb) \\\hline
\quad \vdash \delta(x,aba) &\quad \vdash \mathbf{s} - \textbf{rejected} &\quad \vdash \delta(t,b) \\\hline
\quad \vdash \delta(s,ba) & &\quad \vdash \mathbf{s} - \textbf{rejected} \\\hline
\quad \vdash \delta(t,a) & & \\\hline
\quad \vdash \mathbf{t} - \textbf{accepted} & & \\\hline \end{array}}$$Correct Answer: $D$