YES
(ignored inputs)COMMENT Combinatory Logic
Rewrite Rules:
   [ Ap(Ap(Ap(S,?x),?y),?z) -> Ap(Ap(?x,?z),Ap(?y,?z)),
     Ap(Ap(K,?x),?y) -> ?x,
     Ap(I,?x) -> ?x ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [  ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth & Bendix
Left-Linear, not Right-Linear
Development Closed
Direct Methods: CR

Final result: CR
104.trs: Success(CR)
(29 msec.)