Input TRS:
    1: 2nd(cons1(X,cons(Y,Z))) -> Y
    2: 2nd(cons(X,X1)) -> 2nd(cons1(X,activate(X1)))
    3: from(X) -> cons(X,n__from(s(X)))
    4: from(X) -> n__from(X)
    5: activate(n__from(X)) -> from(X)
    6: activate(X) -> X
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... failed.
Freezing 2nd
1: 2nd❆1_cons1(X,cons(Y,Z)) -> Y
2: 2nd❆1_cons(X,X1) -> 2nd❆1_cons1(X,activate(X1))
3: from(X) -> cons(X,n__from(s(X)))
4: from(X) -> n__from(X)
5: activate(n__from(X)) -> from(X)
6: activate(X) -> X
7: 2nd(cons(_1,_2)) ->= 2nd❆1_cons(_1,_2)
8: 2nd(cons1(_1,_2)) ->= 2nd❆1_cons1(_1,_2)
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 4 8 1 3 5 7 6 2
     s(x1)	weight: (/ 82149 4) + x1
activate(x1)	weight: 20538 + 2 * x1
n__from(x1)	weight: x1
   2nd(x1)	weight: 20538 + 2 * x1
2nd❆1_cons(x1,x2)	weight: (/ 82153 4) + x1 + 2 * x2
 cons1(x1,x2)	weight: (/ 1125 4) + x1 + x2
  from(x1)	weight: (/ 82151 4) + 2 * x1
  cons(x1,x2)	weight: (/ 1 4) + x1 + x2
2nd❆1_cons1(x1,x2)	weight: x1 + x2
Number of strict rules: 0
YES