MAYBE
0.18/0.22	MAYBE
0.18/0.22	
0.18/0.22	Problem:
0.18/0.22	 active(from(X)) -> mark(cons(X,from(s(X))))
0.18/0.22	 active(sel(0(),cons(X,XS))) -> mark(X)
0.18/0.22	 active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS))
0.18/0.22	 active(minus(X,0())) -> mark(0())
0.18/0.22	 active(minus(s(X),s(Y))) -> mark(minus(X,Y))
0.18/0.22	 active(quot(0(),s(Y))) -> mark(0())
0.18/0.22	 active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y))))
0.18/0.22	 active(zWquot(XS,nil())) -> mark(nil())
0.18/0.22	 active(zWquot(nil(),XS)) -> mark(nil())
0.18/0.22	 active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS)))
0.18/0.22	 active(from(X)) -> from(active(X))
0.18/0.22	 active(cons(X1,X2)) -> cons(active(X1),X2)
0.18/0.22	 active(s(X)) -> s(active(X))
0.18/0.22	 active(sel(X1,X2)) -> sel(active(X1),X2)
0.18/0.22	 active(sel(X1,X2)) -> sel(X1,active(X2))
0.18/0.22	 active(minus(X1,X2)) -> minus(active(X1),X2)
0.18/0.22	 active(minus(X1,X2)) -> minus(X1,active(X2))
0.18/0.22	 active(quot(X1,X2)) -> quot(active(X1),X2)
0.18/0.22	 active(quot(X1,X2)) -> quot(X1,active(X2))
0.18/0.22	 active(zWquot(X1,X2)) -> zWquot(active(X1),X2)
0.18/0.22	 active(zWquot(X1,X2)) -> zWquot(X1,active(X2))
0.18/0.22	 from(mark(X)) -> mark(from(X))
0.18/0.22	 cons(mark(X1),X2) -> mark(cons(X1,X2))
0.18/0.22	 s(mark(X)) -> mark(s(X))
0.18/0.22	 sel(mark(X1),X2) -> mark(sel(X1,X2))
0.18/0.22	 sel(X1,mark(X2)) -> mark(sel(X1,X2))
0.18/0.22	 minus(mark(X1),X2) -> mark(minus(X1,X2))
0.18/0.22	 minus(X1,mark(X2)) -> mark(minus(X1,X2))
0.18/0.22	 quot(mark(X1),X2) -> mark(quot(X1,X2))
0.18/0.22	 quot(X1,mark(X2)) -> mark(quot(X1,X2))
0.18/0.22	 zWquot(mark(X1),X2) -> mark(zWquot(X1,X2))
0.18/0.22	 zWquot(X1,mark(X2)) -> mark(zWquot(X1,X2))
0.18/0.22	 proper(from(X)) -> from(proper(X))
0.18/0.22	 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
0.18/0.22	 proper(s(X)) -> s(proper(X))
0.18/0.22	 proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
0.18/0.22	 proper(0()) -> ok(0())
0.18/0.22	 proper(minus(X1,X2)) -> minus(proper(X1),proper(X2))
0.18/0.22	 proper(quot(X1,X2)) -> quot(proper(X1),proper(X2))
0.18/0.22	 proper(zWquot(X1,X2)) -> zWquot(proper(X1),proper(X2))
0.18/0.22	 proper(nil()) -> ok(nil())
0.18/0.22	 from(ok(X)) -> ok(from(X))
0.18/0.22	 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
0.18/0.22	 s(ok(X)) -> ok(s(X))
0.18/0.22	 sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
0.18/0.22	 minus(ok(X1),ok(X2)) -> ok(minus(X1,X2))
0.18/0.22	 quot(ok(X1),ok(X2)) -> ok(quot(X1,X2))
0.18/0.22	 zWquot(ok(X1),ok(X2)) -> ok(zWquot(X1,X2))
0.18/0.22	 top(mark(X)) -> top(proper(X))
0.18/0.22	 top(ok(X)) -> top(active(X))
0.18/0.22	
0.18/0.22	Proof:
0.18/0.22	 Open
0.18/0.22	EOF