YES
(ignored inputs)COMMENT the following rules are removed from the original TRS F ( H ( x ) , y ) -> F ( H ( x ) , G ( y ) ) F ( x , I ( y ) ) -> F ( G ( x ) , I ( y ) ) G ( x ) -> x
Rewrite Rules:
   [ W(B(?x)) -> B(?x),
     W(W(?x)) -> W(?x),
     B(I(?x)) -> W(?x) ]
Apply Direct Methods...
Inner CPs:
   [ W(W(?x_2)) = B(I(?x_2)),
     W(B(?x)) = W(B(?x)),
     W(W(?x)) = W(W(?x)) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR

Combined result: CR
/tmp/fileEsClfk.trs: Success(CR)
(0 msec.)