(VAR X XS N X1 X2) (RULES active(from(X)) -> mark(cons(X,from(s(X)))) active(head(cons(X,XS))) -> mark(X) active(2nd(cons(X,XS))) -> mark(head(XS)) active(take(0,XS)) -> mark(nil) active(take(s(N),cons(X,XS))) -> mark(cons(X,take(N,XS))) active(sel(0,cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(from(X)) -> from(active(X)) active(cons(X1,X2)) -> cons(active(X1),X2) active(s(X)) -> s(active(X)) active(head(X)) -> head(active(X)) active(2nd(X)) -> 2nd(active(X)) active(take(X1,X2)) -> take(active(X1),X2) active(take(X1,X2)) -> take(X1,active(X2)) active(sel(X1,X2)) -> sel(active(X1),X2) active(sel(X1,X2)) -> sel(X1,active(X2)) from(mark(X)) -> mark(from(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) s(mark(X)) -> mark(s(X)) head(mark(X)) -> mark(head(X)) 2nd(mark(X)) -> mark(2nd(X)) take(mark(X1),X2) -> mark(take(X1,X2)) take(X1,mark(X2)) -> mark(take(X1,X2)) sel(mark(X1),X2) -> mark(sel(X1,X2)) sel(X1,mark(X2)) -> mark(sel(X1,X2)) proper(from(X)) -> from(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(s(X)) -> s(proper(X)) proper(head(X)) -> head(proper(X)) proper(2nd(X)) -> 2nd(proper(X)) proper(take(X1,X2)) -> take(proper(X1),proper(X2)) proper(0) -> ok(0) proper(nil) -> ok(nil) proper(sel(X1,X2)) -> sel(proper(X1),proper(X2)) from(ok(X)) -> ok(from(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) s(ok(X)) -> ok(s(X)) head(ok(X)) -> ok(head(X)) 2nd(ok(X)) -> ok(2nd(X)) take(ok(X1),ok(X2)) -> ok(take(X1,X2)) sel(ok(X1),ok(X2)) -> ok(sel(X1,X2)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) )