MAYBE 0.19/0.20 MAYBE 0.19/0.20 0.19/0.20 Problem: 0.19/0.20 active(fib(N)) -> mark(sel(N,fib1(s(0()),s(0())))) 0.19/0.20 active(fib1(X,Y)) -> mark(cons(X,fib1(Y,add(X,Y)))) 0.19/0.20 active(add(0(),X)) -> mark(X) 0.19/0.20 active(add(s(X),Y)) -> mark(s(add(X,Y))) 0.19/0.20 active(sel(0(),cons(X,XS))) -> mark(X) 0.19/0.20 active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) 0.19/0.20 active(fib(X)) -> fib(active(X)) 0.19/0.20 active(sel(X1,X2)) -> sel(active(X1),X2) 0.19/0.20 active(sel(X1,X2)) -> sel(X1,active(X2)) 0.19/0.20 active(fib1(X1,X2)) -> fib1(active(X1),X2) 0.19/0.20 active(fib1(X1,X2)) -> fib1(X1,active(X2)) 0.19/0.20 active(s(X)) -> s(active(X)) 0.19/0.20 active(cons(X1,X2)) -> cons(active(X1),X2) 0.19/0.20 active(add(X1,X2)) -> add(active(X1),X2) 0.19/0.20 active(add(X1,X2)) -> add(X1,active(X2)) 0.19/0.20 fib(mark(X)) -> mark(fib(X)) 0.19/0.20 sel(mark(X1),X2) -> mark(sel(X1,X2)) 0.19/0.20 sel(X1,mark(X2)) -> mark(sel(X1,X2)) 0.19/0.20 fib1(mark(X1),X2) -> mark(fib1(X1,X2)) 0.19/0.20 fib1(X1,mark(X2)) -> mark(fib1(X1,X2)) 0.19/0.20 s(mark(X)) -> mark(s(X)) 0.19/0.20 cons(mark(X1),X2) -> mark(cons(X1,X2)) 0.19/0.20 add(mark(X1),X2) -> mark(add(X1,X2)) 0.19/0.20 add(X1,mark(X2)) -> mark(add(X1,X2)) 0.19/0.20 proper(fib(X)) -> fib(proper(X)) 0.19/0.20 proper(sel(X1,X2)) -> sel(proper(X1),proper(X2)) 0.19/0.20 proper(fib1(X1,X2)) -> fib1(proper(X1),proper(X2)) 0.19/0.20 proper(s(X)) -> s(proper(X)) 0.19/0.20 proper(0()) -> ok(0()) 0.19/0.20 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 0.19/0.20 proper(add(X1,X2)) -> add(proper(X1),proper(X2)) 0.19/0.20 fib(ok(X)) -> ok(fib(X)) 0.19/0.20 sel(ok(X1),ok(X2)) -> ok(sel(X1,X2)) 0.19/0.20 fib1(ok(X1),ok(X2)) -> ok(fib1(X1,X2)) 0.19/0.20 s(ok(X)) -> ok(s(X)) 0.19/0.20 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 0.19/0.20 add(ok(X1),ok(X2)) -> ok(add(X1,X2)) 0.19/0.20 top(mark(X)) -> top(proper(X)) 0.19/0.20 top(ok(X)) -> top(active(X)) 0.19/0.20 0.19/0.20 Proof: 0.19/0.20 Open 0.19/0.20 EOF