/home/nowonder/forschung/aprove/TPDB05/TRS/higher-order/AotoYam/010.trs

The program

(VAR y x g f xs)
(RULES
  app(app(plus, 0), y) -> y
  app(app(plus, app(s, x)), y) -> app(s, app(app(plus, x), y))
  app(app(times, 0), y) -> 0
  app(app(times, app(s, x)), y) -> app(app(plus, app(app(times, x), y)), y)
  app(app(app(curry, g), x), y) -> app(app(g, x), y)
  app(app(map, f), nil) -> nil
  app(app(map, f), app(app(cons, x), xs)) -> app(app(cons, app(f, x)), app(app(map, f), xs))
  inc -> app(map, app(app(curry, plus), app(s, 0)))
  double -> app(map, app(app(curry, times), app(s, app(s, 0))))
)

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