YES
(ignored inputs)COMMENT [11] p. 28 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ f(g(?x)) -> f(h(?x,?x)),
     g(a) -> g(g(a)),
     h(a,a) -> g(g(a)) ]
Apply Direct Methods...
Inner CPs:
   [ f(g(g(a))) = f(h(a,a)) ]
Outer CPs:
   [  ]
Left-Linear, not Right-Linear
(inner) Parallel CPs:
   [ f(g(g(a))) = f(h(a,a)) {} ]
Toyama (Parallel CPs)
Direct Methods: CR

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