YES
(ignored inputs)COMMENT the following rules are removed from the original TRS h ( f ( x ) ) -> h ( g ( x ) )
Rewrite Rules:
   [ f(?x) -> h(f(?x)),
     f(?x) -> g(?x),
     g(?x) -> h(g(?x)) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ h(f(?x)) = g(?x) ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth & Bendix
Linear
Development Closed
Direct Methods: CR

Combined result: CR
/tmp/file2K1AzJ.trs: Success(CR)
(0 msec.)