Input TRS:
    1: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z))
    2: times(X,s(Y)) -> plus(X,times(Y,X))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 2
     s(x1)	weight: (/ 1 4) + 2 * x1
 times(x1,x2)	weight: (/ 165217 8) + 2 * x1 + x2
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 1
     s(x1)	weight: (/ 1 2) + 2 * x1
 times(x1,x2)	weight: (/ 82609 4) + 2 * x1 + x2
  plus(x1,x2)	weight: (/ 1 4) + 2 * x1 + x2
Number of strict rules: 0
YES