/home/nowonder/forschung/aprove/TPDB05/TRS/higher-order/ToyamaRTA04/Ex5Folding.trs

The program

(VAR f x y z)
(RULES
  app(app(app(fold, f), x), nil) -> x
  app(app(app(fold, f), x), app(app(cons, y), z)) -> app(app(f, y), app(app(app(fold, f), x), z))
  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)
  sum -> app(app(fold, add), 0)
  prod -> app(app(fold, mul), app(s, 0))
)

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