YES
(ignored inputs)COMMENT [26] Example 5.1 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ a -> b,
     f(a) -> g(a),
     f(b) -> g(b) ]
Apply Direct Methods...
Inner CPs:
   [ f(b) = g(a) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR

Combined result: CR
84.trs: Success(CR)
(0 msec.)