YES
(ignored inputs)COMMENT [11] Example 3.4.23 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ f(a) -> b,
     f(a) -> f(c),
     a -> d,
     f(d) -> b,
     f(c) -> b,
     d -> c ]
Apply Direct Methods...
Inner CPs:
   [ f(d) = b,
     f(d) = f(c),
     f(c) = b ]
Outer CPs:
   [ b = f(c) ]
Linear
(inner) Parallel CPs:
   [ f(d) = b {},
     f(d) = f(c) {},
     f(c) = b {} ]
Toyama (Parallel CPs)
Direct Methods: CR

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