MAYBE MAYBE TRS: { app(app(plus(), app(s(), x)), y) -> app(s(), app(app(plus(), x), y)), app(app(plus(), 0()), y) -> y, app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(inc(), xs) -> app(app(map(), app(plus(), app(s(), 0()))), xs) } DUP: We consider a duplicating system. Trs: { app(app(plus(), app(s(), x)), y) -> app(s(), app(app(plus(), x), y)), app(app(plus(), 0()), y) -> y, app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(inc(), xs) -> app(app(map(), app(plus(), app(s(), 0()))), xs) } Fail