Input TRS:
    1: top(left(car(x,y),car(old(),z))) -> top(right(y,car(old(),z)))
    2: top(left(car(x,car(old(),y)),z)) -> top(right(car(old(),y),z))
    3: top(right(x,car(y,car(old(),z)))) -> top(left(x,car(old(),z)))
    4: top(right(car(old(),x),car(y,z))) -> top(left(car(old(),x),z))
    5: top(left(bot(),car(old(),x))) -> top(right(bot(),car(old(),x)))
    6: top(right(car(old(),x),bot())) -> top(left(car(old(),x),bot()))
    7: top(left(car(x,y),z)) ->= top(left(y,z))
    8: top(right(x,car(y,z))) ->= top(right(x,z))
    9: bot() ->= car(new(),bot())
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 6 2
   new()	weight: 0
  left(x1,x2)	weight: (/ 186673 16) + 2 * x2 + x1
   top(x1)	weight: 2 * x1
   bot()	weight: 0
   old()	weight: (/ 1 16)
 right(x1,x2)	weight: (/ 373347 32) + x2 + x1
   car(x1,x2)	weight: 2 * x2 + x1
Number of strict rules: 0
YES