Input TRS:
    1: max(L(x)) -> x
    2: max(N(L(0()),L(y))) -> y
    3: max(N(L(s(x)),L(s(y)))) -> s(max(N(L(x),L(y))))
    4: max(N(L(x),N(y,z))) -> max(N(L(x),L(max(N(y,z)))))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 3 2
     s(x1)	weight: (/ 1 8) + x1
     0()	weight: 0
   max(x1)	weight: x1
     L(x1)	weight: x1
     N(x1,x2)	weight: (/ 143097 8) + x1 + x2
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing max❆1_N max
1: max❆1_L(x) -> x
4: max❆1_N❆1_L(x,N(y,z)) -> max❆1_N❆1_L(x,L(max❆1_N(y,z)))
5: max(L(_1)) ->= max❆1_L(_1)
6: max(N(_1,_2)) ->= max❆1_N(_1,_2)
7: max❆1_N(L(_1),_2) ->= max❆1_N❆1_L(_1,_2)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 4 1 5 7 6
     s(x1)	weight: x1
max❆1_L(x1)	weight: (/ 1 8) + x1
     0()	weight: 0
   max(x1)	weight: 2 * x1
max❆1_N❆1_L(x1,x2)	weight: x1 + x2
     L(x1)	weight: (/ 1 8) + x1
     N(x1,x2)	weight: (/ 3 8) + 2 * x1 + x2
max❆1_N(x1,x2)	weight: (/ 1 8) + 2 * x1 + x2
Number of strict rules: 0
YES