YES
(ignored inputs)COMMENT submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ F(H(?x),?y) -> G(H(?x)),
     H(I(?x)) -> I(?x),
     F(I(?x),?y) -> G(I(?x)) ]
Apply Direct Methods...
Inner CPs:
   [ F(I(?x_1),?y) = G(H(I(?x_1))) ]
Outer CPs:
   [  ]
Linear
(inner) Parallel CPs:
   [ F(I(?x_2),?y) = G(H(I(?x_2))) {?x_2} ]
Toyama (Parallel CPs)
Direct Methods: CR

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