YES
(ignored inputs)COMMENT doi:10.1007/s10817-011-9238-x [33] Example 8
input TRS:
   [ f(a,a) -> c,
     f(b,?x) -> f(?x,?x),
     f(?x,b) -> f(?x,?x),
     a -> b ]
TRS:
   [ f(a,a) -> c,
     f(b,?x) -> f(?x,?x),
     f(?x,b) -> f(?x,?x),
     a -> b ]
confluent TRS:
   [ f(a,a) -> c,
     f(b,?x) -> f(?x,?x),
     f(?x,b) -> f(?x,?x),
     a -> b,
     f(b,a) -> c,
     f(a,b) -> c,
     f(b,b) -> c ]
UNC Completion (Development Closed)
problems/113.trs: Success(UNC)
(4 msec.)