(VAR f x xs y z )
(RULES 
        app(app(times,x),app(app(plus,y),app(s,z))) -> app(app(plus,app(app(times,x),app(app(plus,y),app(app(times,app(s,z)),0)))),app(app(times,x),app(s,z)))
        app(app(times,x),0) -> 0
        app(app(times,x),app(s,y)) -> app(app(plus,app(app(times,x),y)),x)
        app(app(plus,x),0) -> x
        app(app(plus,x),app(s,y)) -> app(s,app(app(plus,x),y))
        app(app(map,f),nil) -> nil
        app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs))
        app(app(filter,f),nil) -> nil
        app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs)
        app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs))
        app(app(app(app(filter2,false),f),x),xs) -> app(app(filter,f),xs)
        
)