(VAR X XS N Y YS X1 X2)
(RULES 
active(from(X)) -> mark(cons(X,from(s(X))))
active(sel(0,cons(X,XS))) -> mark(X)
active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS))
active(minus(X,0)) -> mark(0)
active(minus(s(X),s(Y))) -> mark(minus(X,Y))
active(quot(0,s(Y))) -> mark(0)
active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y))))
active(zWquot(XS,nil)) -> mark(nil)
active(zWquot(nil,XS)) -> mark(nil)
active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS)))
active(from(X)) -> from(active(X))
active(cons(X1,X2)) -> cons(active(X1),X2)
active(s(X)) -> s(active(X))
active(sel(X1,X2)) -> sel(active(X1),X2)
active(sel(X1,X2)) -> sel(X1,active(X2))
active(minus(X1,X2)) -> minus(active(X1),X2)
active(minus(X1,X2)) -> minus(X1,active(X2))
active(quot(X1,X2)) -> quot(active(X1),X2)
active(quot(X1,X2)) -> quot(X1,active(X2))
active(zWquot(X1,X2)) -> zWquot(active(X1),X2)
active(zWquot(X1,X2)) -> zWquot(X1,active(X2))
from(mark(X)) -> mark(from(X))
cons(mark(X1),X2) -> mark(cons(X1,X2))
s(mark(X)) -> mark(s(X))
sel(mark(X1),X2) -> mark(sel(X1,X2))
sel(X1,mark(X2)) -> mark(sel(X1,X2))
minus(mark(X1),X2) -> mark(minus(X1,X2))
minus(X1,mark(X2)) -> mark(minus(X1,X2))
quot(mark(X1),X2) -> mark(quot(X1,X2))
quot(X1,mark(X2)) -> mark(quot(X1,X2))
zWquot(mark(X1),X2) -> mark(zWquot(X1,X2))
zWquot(X1,mark(X2)) -> mark(zWquot(X1,X2))
proper(from(X)) -> from(proper(X))
proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
proper(s(X)) -> s(proper(X))
proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
proper(0) -> ok(0)
proper(minus(X1,X2)) -> minus(proper(X1),proper(X2))
proper(quot(X1,X2)) -> quot(proper(X1),proper(X2))
proper(zWquot(X1,X2)) -> zWquot(proper(X1),proper(X2))
proper(nil) -> ok(nil)
from(ok(X)) -> ok(from(X))
cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
s(ok(X)) -> ok(s(X))
sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
minus(ok(X1),ok(X2)) -> ok(minus(X1,X2))
quot(ok(X1),ok(X2)) -> ok(quot(X1,X2))
zWquot(ok(X1),ok(X2)) -> ok(zWquot(X1,X2))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)