/home/nowonder/forschung/aprove/TPDB05/TRS/currying/D33/11.trs

The program

(VAR x y)
(RULES
  app(D, t) -> 1
  app(D, constant) -> 0
  app(D, app(app(+, x), y)) -> app(app(+, app(D, x)), app(D, y))
  app(D, app(app(*, x), y)) -> app(app(+, app(app(*, y), app(D, x))), app(app(*, x), app(D, y)))
  app(D, app(app(-, x), y)) -> app(app(-, app(D, x)), app(D, y))
  app(D, app(minus, x)) -> app(minus, app(D, x))
  app(D, app(app(div, x), y)) -> app(app(-, app(app(div, app(D, x)), y)), app(app(div, app(app(*, x), app(D, y))), app(app(pow, y), 2)))
  app(D, app(ln, x)) -> app(app(div, app(D, x)), x)
  app(D, app(app(pow, x), y)) -> app(app(+, app(app(*, app(app(*, y), app(app(pow, x), app(app(-, y), 1)))), app(D, x))), app(app(*, app(app(*, app(app(pow, x), y)), app(ln, x))), app(D, y)))
)

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