YES
(ignored inputs)COMMENT doi:10.4230/LIPIcs.RTA.2012.165 [37] Example 3.1 ( R )
input TRS:
   [ a -> b,
     a -> f(a),
     b -> f(f(b)) ]
Try persistent and layer-preserving decomposition...
Sort Assignment:
 a : =>5
 b : =>5
 f : 5=>5
maximal types: {5}
...decomposition failed.
TRS:
   [ a -> b,
     a -> f(a),
     b -> f(f(b)) ]
unknown Non-Omega-Overlapping
Right-Reducible
problems/212.trs: Success(UNC)
(0 msec.)