YES
(ignored inputs)COMMENT [27] Example 3.3 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ p(?x) -> q(?x),
     p(?x) -> r(?x),
     q(?x) -> s(p(?x)),
     r(?x) -> s(p(?x)),
     s(?x) -> f(p(?x)) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ q(?x) = r(?x) ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth & Bendix
Linear
Development Closed
Direct Methods: CR

Combined result: CR
88.trs: Success(CR)
(16 msec.)