NO

Problem:
 f(f(f(f(a())))) -> a()
 c() -> h(f(f(c())),f(f(h(f(f(a())),h(h(b(),h(c(),c())),f(c()))))))
 f(a()) -> c()
 b() -> f(a())
 f(a()) -> f(c())

Proof:
 Uncurry Processor:
  f5(f(),f5(f(),f5(f(),f5(f(),a())))) -> a()
  c() ->
  f5(f5(h(),f5(f(),f5(f(),c()))),f5(f(),f5(f(),f5(f5(h(),f5(f(),f5(f(),a()))),
                                                  f5(f5(h(),f5(f5(h(),b()),f5(f5(h(),c()),c()))),
                                                     f5(f(),c()))))))
  f5(f(),a()) -> c()
  b() -> f5(f(),a())
  f5(f(),a()) -> f5(f(),c())
  Ground Confluence Processor:
   not UNC by decision procedure.