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

Proof:
 Uncurry Processor:
  f5(f(),b()) ->
  f5(f(),f5(f(),f5(f5(h(),f5(f(),f5(f5(h(),f5(f5(h(),b()),f5(f5(h(),f5(f(),f5(f(),c()))),a()))),b()))),
                   f5(f(),f5(f(),c())))))
  f5(f(),a()) -> f5(f5(h(),a()),c())
  f5(f(),f5(f(),b())) -> f5(f(),f5(f(),c()))
  a() -> f5(f5(h(),f5(f5(h(),b()),a())),a())
  Ground Confluence Processor:
   UNC by decision procedure.