MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 eq(n__0(),n__0()) -> true() 0.08/0.18 eq(n__s(X),n__s(Y)) -> eq(activate(X),activate(Y)) 0.08/0.18 eq(X,Y) -> false() 0.08/0.18 inf(X) -> cons(X,n__inf(n__s(X))) 0.08/0.18 take(0(),X) -> nil() 0.08/0.18 take(s(X),cons(Y,L)) -> cons(activate(Y),n__take(activate(X),activate(L))) 0.08/0.18 length(nil()) -> 0() 0.08/0.18 length(cons(X,L)) -> s(n__length(activate(L))) 0.08/0.18 0() -> n__0() 0.08/0.18 s(X) -> n__s(X) 0.08/0.18 inf(X) -> n__inf(X) 0.08/0.18 take(X1,X2) -> n__take(X1,X2) 0.08/0.18 length(X) -> n__length(X) 0.08/0.18 activate(n__0()) -> 0() 0.08/0.18 activate(n__s(X)) -> s(X) 0.08/0.18 activate(n__inf(X)) -> inf(activate(X)) 0.08/0.18 activate(n__take(X1,X2)) -> take(activate(X1),activate(X2)) 0.08/0.18 activate(n__length(X)) -> length(activate(X)) 0.08/0.18 activate(X) -> X 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF