/home/nowonder/forschung/aprove/TPDB05/TRS/higher-order/AotoYam/016.trs

The program

(VAR y x f ys)
(RULES
  app(app(neq, 0), 0) -> false
  app(app(neq, 0), app(s, y)) -> true
  app(app(neq, app(s, x)), 0) -> true
  app(app(neq, app(s, x)), app(s, y)) -> app(app(neq, x), y)
  app(app(filter, f), nil) -> nil
  app(app(filter, f), app(app(cons, y), ys)) -> app(app(app(filtersub, app(f, y)), f), app(app(cons, y), ys))
  app(app(app(filtersub, true), f), app(app(cons, y), ys)) -> app(app(cons, y), app(app(filter, f), ys))
  app(app(app(filtersub, false), f), app(app(cons, y), ys)) -> app(app(filter, f), ys)
  nonzero -> app(filter, app(neq, 0))
)

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