(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
app(g, app(h, app(g, x))) → app(g, x)
app(g, app(g, x)) → app(g, app(h, app(g, x)))
app(h, app(h, x)) → app(h, app(app(f, app(h, x)), x))
app(app(map, fun), nil) → nil
app(app(map, fun), app(app(cons, x), xs)) → app(app(cons, app(fun, x)), app(app(map, fun), xs))
app(app(filter, fun), nil) → nil
app(app(filter, fun), app(app(cons, x), xs)) → app(app(app(app(filter2, app(fun, x)), fun), x), xs)
app(app(app(app(filter2, true), fun), x), xs) → app(app(cons, x), app(app(filter, fun), xs))
app(app(app(app(filter2, false), fun), x), xs) → app(app(filter, fun), xs)
Q is empty.