Input TRS:
    1: times(x,0()) -> 0()
    2: times(x,s(y)) -> plus(times(x,y),x)
    3: plus(x,0()) -> x
    4: plus(0(),x) -> x
    5: plus(x,s(y)) -> s(plus(x,y))
    6: plus(s(x),y) -> s(plus(x,y))
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #times(x,s(y)) -> #plus(times(x,y),x)
   #2: #times(x,s(y)) -> #times(x,y)
   #3: #plus(s(x),y) -> #plus(x,y)
   #4: #plus(x,s(y)) -> #plus(x,y)
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
#plus(x1,x2)	weight: 0
#times(x1,x2)	weight: x2
     0()	weight: 0
 times(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #3 #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
#plus(x1,x2)	weight: x2
#times(x1,x2)	weight: 0
     0()	weight: 0
 times(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
#plus(x1,x2)	weight: x1
#times(x1,x2)	weight: 0
     0()	weight: 0
 times(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0, edges: 0
YES