MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 active(first(0(),X)) -> mark(nil()) 0.08/0.19 active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) 0.08/0.19 active(from(X)) -> mark(cons(X,from(s(X)))) 0.08/0.19 active(first(X1,X2)) -> first(active(X1),X2) 0.08/0.19 active(first(X1,X2)) -> first(X1,active(X2)) 0.08/0.19 active(s(X)) -> s(active(X)) 0.08/0.19 active(cons(X1,X2)) -> cons(active(X1),X2) 0.08/0.19 active(from(X)) -> from(active(X)) 0.08/0.19 first(mark(X1),X2) -> mark(first(X1,X2)) 0.08/0.19 first(X1,mark(X2)) -> mark(first(X1,X2)) 0.08/0.19 s(mark(X)) -> mark(s(X)) 0.08/0.19 cons(mark(X1),X2) -> mark(cons(X1,X2)) 0.08/0.19 from(mark(X)) -> mark(from(X)) 0.08/0.19 proper(first(X1,X2)) -> first(proper(X1),proper(X2)) 0.08/0.19 proper(0()) -> ok(0()) 0.08/0.19 proper(nil()) -> ok(nil()) 0.08/0.19 proper(s(X)) -> s(proper(X)) 0.08/0.19 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 0.08/0.19 proper(from(X)) -> from(proper(X)) 0.08/0.19 first(ok(X1),ok(X2)) -> ok(first(X1,X2)) 0.08/0.19 s(ok(X)) -> ok(s(X)) 0.08/0.19 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 0.08/0.19 from(ok(X)) -> ok(from(X)) 0.08/0.19 top(mark(X)) -> top(proper(X)) 0.08/0.19 top(ok(X)) -> top(active(X)) 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.17/0.20 EOF