MAYBE 0.18/0.20 MAYBE 0.18/0.20 0.18/0.20 Problem: 0.18/0.20 active(eq(0(),0())) -> mark(true()) 0.18/0.20 active(eq(s(X),s(Y))) -> mark(eq(X,Y)) 0.18/0.20 active(eq(X,Y)) -> mark(false()) 0.18/0.20 active(inf(X)) -> mark(cons(X,inf(s(X)))) 0.18/0.20 active(take(0(),X)) -> mark(nil()) 0.18/0.20 active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L))) 0.18/0.20 active(length(nil())) -> mark(0()) 0.18/0.20 active(length(cons(X,L))) -> mark(s(length(L))) 0.18/0.20 active(inf(X)) -> inf(active(X)) 0.18/0.20 active(take(X1,X2)) -> take(active(X1),X2) 0.18/0.20 active(take(X1,X2)) -> take(X1,active(X2)) 0.18/0.20 active(length(X)) -> length(active(X)) 0.18/0.20 inf(mark(X)) -> mark(inf(X)) 0.18/0.20 take(mark(X1),X2) -> mark(take(X1,X2)) 0.18/0.20 take(X1,mark(X2)) -> mark(take(X1,X2)) 0.18/0.20 length(mark(X)) -> mark(length(X)) 0.18/0.20 proper(eq(X1,X2)) -> eq(proper(X1),proper(X2)) 0.18/0.20 proper(0()) -> ok(0()) 0.18/0.20 proper(true()) -> ok(true()) 0.18/0.20 proper(s(X)) -> s(proper(X)) 0.18/0.20 proper(false()) -> ok(false()) 0.18/0.20 proper(inf(X)) -> inf(proper(X)) 0.18/0.20 proper(cons(any(X1),X2)) -> cons(any(any(proper(X1))),any(proper(X2))) 0.18/0.20 proper(take(X1,X2)) -> take(proper(X1),proper(X2)) 0.18/0.20 proper(nil()) -> ok(nil()) 0.18/0.20 proper(length(X)) -> length(proper(X)) 0.18/0.20 eq(ok(X1),ok(X2)) -> ok(eq(X1,X2)) 0.18/0.20 s(ok(X)) -> ok(s(X)) 0.18/0.20 inf(ok(X)) -> ok(inf(X)) 0.18/0.20 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 0.18/0.20 take(ok(X1),ok(X2)) -> ok(take(X1,X2)) 0.18/0.20 length(ok(X)) -> ok(length(X)) 0.18/0.20 top(mark(X)) -> top(proper(X)) 0.18/0.20 top(ok(X)) -> top(active(X)) 0.18/0.20 any(X) -> s(X) 0.18/0.20 any(proper(X)) -> any(any(any(X))) 0.18/0.20 0.18/0.20 Proof: 0.18/0.20 Open 0.18/0.21 EOF