MAYBE
0.18/0.26	MAYBE
0.18/0.26	
0.18/0.26	Problem:
0.18/0.26	 active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z))
0.18/0.26	 active(sel(0(),cons(X,Z))) -> mark(X)
0.18/0.26	 active(first(0(),Z)) -> mark(nil())
0.18/0.26	 active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z)))
0.18/0.26	 active(from(X)) -> mark(cons(X,from(s(X))))
0.18/0.26	 active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z))
0.18/0.26	 active(sel1(0(),cons(X,Z))) -> mark(quote(X))
0.18/0.26	 active(first1(0(),Z)) -> mark(nil1())
0.18/0.26	 active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z)))
0.18/0.26	 active(quote(0())) -> mark(01())
0.18/0.26	 active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z)))
0.18/0.26	 active(quote1(nil())) -> mark(nil1())
0.18/0.26	 active(quote(s(X))) -> mark(s1(quote(X)))
0.18/0.26	 active(quote(sel(X,Z))) -> mark(sel1(X,Z))
0.18/0.26	 active(quote1(first(X,Z))) -> mark(first1(X,Z))
0.18/0.26	 active(unquote(01())) -> mark(0())
0.18/0.26	 active(unquote(s1(X))) -> mark(s(unquote(X)))
0.18/0.26	 active(unquote1(nil1())) -> mark(nil())
0.18/0.26	 active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z)))
0.18/0.26	 active(fcons(X,Z)) -> mark(cons(X,Z))
0.18/0.26	 active(sel(X1,X2)) -> sel(active(X1),X2)
0.18/0.26	 active(sel(X1,X2)) -> sel(X1,active(X2))
0.18/0.26	 active(s(X)) -> s(active(X))
0.18/0.26	 active(cons(X1,X2)) -> cons(active(X1),X2)
0.18/0.26	 active(first(X1,X2)) -> first(active(X1),X2)
0.18/0.26	 active(first(X1,X2)) -> first(X1,active(X2))
0.18/0.26	 active(from(X)) -> from(active(X))
0.18/0.26	 active(sel1(X1,X2)) -> sel1(active(X1),X2)
0.18/0.26	 active(sel1(X1,X2)) -> sel1(X1,active(X2))
0.18/0.26	 active(first1(X1,X2)) -> first1(active(X1),X2)
0.18/0.26	 active(first1(X1,X2)) -> first1(X1,active(X2))
0.18/0.26	 active(cons1(X1,X2)) -> cons1(active(X1),X2)
0.18/0.26	 active(cons1(X1,X2)) -> cons1(X1,active(X2))
0.18/0.26	 active(s1(X)) -> s1(active(X))
0.18/0.26	 active(unquote(X)) -> unquote(active(X))
0.18/0.26	 active(unquote1(X)) -> unquote1(active(X))
0.18/0.26	 active(fcons(X1,X2)) -> fcons(active(X1),X2)
0.18/0.26	 active(fcons(X1,X2)) -> fcons(X1,active(X2))
0.18/0.26	 sel(mark(X1),X2) -> mark(sel(X1,X2))
0.18/0.26	 sel(X1,mark(X2)) -> mark(sel(X1,X2))
0.18/0.26	 s(mark(X)) -> mark(s(X))
0.18/0.26	 cons(mark(X1),X2) -> mark(cons(X1,X2))
0.18/0.26	 first(mark(X1),X2) -> mark(first(X1,X2))
0.18/0.26	 first(X1,mark(X2)) -> mark(first(X1,X2))
0.18/0.26	 from(mark(X)) -> mark(from(X))
0.18/0.26	 sel1(mark(X1),X2) -> mark(sel1(X1,X2))
0.18/0.26	 sel1(X1,mark(X2)) -> mark(sel1(X1,X2))
0.18/0.26	 first1(mark(X1),X2) -> mark(first1(X1,X2))
0.18/0.26	 first1(X1,mark(X2)) -> mark(first1(X1,X2))
0.18/0.26	 cons1(mark(X1),X2) -> mark(cons1(X1,X2))
0.18/0.26	 cons1(X1,mark(X2)) -> mark(cons1(X1,X2))
0.18/0.26	 s1(mark(X)) -> mark(s1(X))
0.18/0.26	 unquote(mark(X)) -> mark(unquote(X))
0.18/0.26	 unquote1(mark(X)) -> mark(unquote1(X))
0.18/0.26	 fcons(mark(X1),X2) -> mark(fcons(X1,X2))
0.18/0.26	 fcons(X1,mark(X2)) -> mark(fcons(X1,X2))
0.18/0.26	 proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
0.18/0.26	 proper(s(X)) -> s(proper(X))
0.18/0.26	 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
0.18/0.26	 proper(0()) -> ok(0())
0.18/0.26	 proper(first(X1,X2)) -> first(proper(X1),proper(X2))
0.18/0.26	 proper(nil()) -> ok(nil())
0.18/0.26	 proper(from(X)) -> from(proper(X))
0.18/0.26	 proper(sel1(X1,X2)) -> sel1(proper(X1),proper(X2))
0.18/0.26	 proper(quote(X)) -> quote(proper(X))
0.18/0.26	 proper(first1(X1,X2)) -> first1(proper(X1),proper(X2))
0.18/0.26	 proper(nil1()) -> ok(nil1())
0.18/0.26	 proper(cons1(X1,X2)) -> cons1(proper(X1),proper(X2))
0.18/0.26	 proper(01()) -> ok(01())
0.18/0.26	 proper(quote1(X)) -> quote1(proper(X))
0.18/0.26	 proper(s1(X)) -> s1(proper(X))
0.18/0.26	 proper(unquote(X)) -> unquote(proper(X))
0.18/0.26	 proper(unquote1(X)) -> unquote1(proper(X))
0.18/0.26	 proper(fcons(X1,X2)) -> fcons(proper(X1),proper(X2))
0.18/0.26	 sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
0.18/0.26	 s(ok(X)) -> ok(s(X))
0.18/0.26	 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
0.18/0.26	 first(ok(X1),ok(X2)) -> ok(first(X1,X2))
0.18/0.26	 from(ok(X)) -> ok(from(X))
0.18/0.26	 sel1(ok(X1),ok(X2)) -> ok(sel1(X1,X2))
0.18/0.26	 quote(ok(X)) -> ok(quote(X))
0.18/0.26	 first1(ok(X1),ok(X2)) -> ok(first1(X1,X2))
0.18/0.26	 cons1(ok(X1),ok(X2)) -> ok(cons1(X1,X2))
0.18/0.26	 quote1(ok(X)) -> ok(quote1(X))
0.18/0.26	 s1(ok(X)) -> ok(s1(X))
0.18/0.26	 unquote(ok(X)) -> ok(unquote(X))
0.18/0.26	 unquote1(ok(X)) -> ok(unquote1(X))
0.18/0.26	 fcons(ok(X1),ok(X2)) -> ok(fcons(X1,X2))
0.18/0.26	 top(mark(X)) -> top(proper(X))
0.18/0.26	 top(ok(X)) -> top(active(X))
0.18/0.26	
0.18/0.26	Proof:
0.18/0.26	 Open
0.18/0.26	EOF