(VAR fun x xs y ) (RULES app(app(minus,x),0) -> x app(app(minus,app(s,x)),app(s,y)) -> app(app(minus,x),y) app(f,0) -> app(s,0) app(f,app(s,x)) -> app(app(minus,app(s,x)),app(g,app(f,x))) app(g,0) -> 0 app(g,app(s,x)) -> app(app(minus,app(s,x)),app(f,app(g,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) )