MAYBE
0.17/0.20	MAYBE
0.17/0.21	
0.17/0.21	Problem:
0.17/0.21	 active(eq(0(),0())) -> mark(true())
0.17/0.21	 active(eq(s(X),s(Y))) -> mark(eq(X,Y))
0.17/0.21	 active(eq(X,Y)) -> mark(false())
0.17/0.21	 active(inf(X)) -> mark(cons(X,inf(s(X))))
0.17/0.21	 active(take(0(),X)) -> mark(nil())
0.17/0.21	 active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L)))
0.17/0.21	 active(length(nil())) -> mark(0())
0.17/0.21	 active(length(cons(X,L))) -> mark(s(length(L)))
0.17/0.21	 active(inf(X)) -> inf(active(X))
0.17/0.21	 active(take(X1,X2)) -> take(active(X1),X2)
0.17/0.21	 active(take(X1,X2)) -> take(X1,active(X2))
0.17/0.21	 active(length(X)) -> length(active(X))
0.17/0.21	 inf(mark(X)) -> mark(inf(X))
0.17/0.21	 take(mark(X1),X2) -> mark(take(X1,X2))
0.17/0.21	 take(X1,mark(X2)) -> mark(take(X1,X2))
0.17/0.21	 length(mark(X)) -> mark(length(X))
0.17/0.21	 proper(eq(X1,X2)) -> eq(proper(X1),proper(X2))
0.17/0.21	 proper(0()) -> ok(0())
0.17/0.21	 proper(true()) -> ok(true())
0.17/0.21	 proper(s(X)) -> s(proper(X))
0.17/0.21	 proper(false()) -> ok(false())
0.17/0.21	 proper(inf(X)) -> inf(proper(X))
0.17/0.21	 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
0.17/0.21	 proper(take(X1,X2)) -> take(proper(X1),proper(X2))
0.17/0.21	 proper(nil()) -> ok(nil())
0.17/0.21	 proper(length(X)) -> length(proper(X))
0.17/0.21	 eq(ok(X1),ok(X2)) -> ok(eq(X1,X2))
0.17/0.21	 s(ok(X)) -> ok(s(X))
0.17/0.21	 inf(ok(X)) -> ok(inf(X))
0.17/0.21	 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
0.17/0.21	 take(ok(X1),ok(X2)) -> ok(take(X1,X2))
0.17/0.21	 length(ok(X)) -> ok(length(X))
0.17/0.21	 top(mark(X)) -> top(proper(X))
0.17/0.21	 top(ok(X)) -> top(active(X))
0.17/0.21	
0.17/0.21	Proof:
0.17/0.21	 Open
0.17/0.21	EOF