YES
(ignored inputs)COMMENT from experiments for [44] submitted by: Tsubasa Suzuki , Takahito Aoto , and Yoshihito Toyama
input TRS:
   [ a -> h(c),
     a -> f(c),
     f(?x) -> h(g(?x)),
     h(?x) -> f(k(?x)) ]
TRS:
   [ a -> h(c),
     a -> f(c),
     f(?x) -> h(g(?x)),
     h(?x) -> f(k(?x)) ]
New rules by rule reversing:
   [ a -> a,
     h(c) -> a,
     a -> a,
     f(c) -> a,
     f(?x) -> f(?x),
     h(g(?x)) -> f(?x),
     h(?x) -> h(?x),
     f(k(?x)) -> h(?x) ]
confluent TRS:
   [ a -> a,
     h(c) -> a,
     a -> a,
     f(c) -> a,
     f(?x) -> f(?x),
     h(g(?x)) -> f(?x),
     h(?x) -> h(?x),
     f(k(?x)) -> h(?x) ]
UNC Completion (Development Closed)
problems/252.trs: Success(UNC)
(4 msec.)