Input TRS:
    1: exp(x,0()) -> s(0())
    2: exp(x,s(y)) -> *(x,exp(x,y))
    3: *(0(),y) -> 0()
    4: *(s(x),y) -> +(y,*(x,y))
    5: -(0(),y) -> 0()
    6: -(x,0()) -> x
    7: -(s(x),s(y)) -> -(x,y)
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #exp(x,s(y)) -> #*(x,exp(x,y))
   #2: #exp(x,s(y)) -> #exp(x,y)
   #3: #-(s(x),s(y)) -> #-(x,y)
   #4: #*(s(x),y) -> #*(x,y)
Number of SCCs: 3, DPs: 3, edges: 3
	SCC { #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
   #*(x1,x2)	weight: x1
 #exp(x1,x2)	weight: 0
     0()	weight: 0
     -(x1,x2)	weight: 0
   #-(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
     +(x1,x2)	weight: 0
     *(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
   #*(x1,x2)	weight: 0
 #exp(x1,x2)	weight: x2
     0()	weight: 0
     -(x1,x2)	weight: 0
   #-(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
     +(x1,x2)	weight: 0
     *(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
   #*(x1,x2)	weight: 0
 #exp(x1,x2)	weight: 0
     0()	weight: 0
     -(x1,x2)	weight: 0
   #-(x1,x2)	weight: x2
   exp(x1,x2)	weight: 0
     +(x1,x2)	weight: 0
     *(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0, edges: 0
YES