YES
(ignored inputs)COMMENT [17] Example 7 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ f(i(?x),g(a)) -> f(j(?x,?x),g(b)),
     b -> a,
     i(?x) -> j(?x,?x) ]
Apply Direct Methods...
Inner CPs:
   [ f(j(?x_1,?x_1),g(a)) = f(j(?x_1,?x_1),g(b)) ]
Outer CPs:
   [  ]
Left-Linear, not Right-Linear
(inner) Parallel CPs:
   [ f(j(?x_2,?x_2),g(a)) = f(j(?x_2,?x_2),g(b)) {?x_2} ]
Toyama (Parallel CPs)
Direct Methods: CR

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