MAYBE

Problem:
 exp(x,0()) -> s(0())
 exp(x,s(y)) -> *(x,exp(x,y))
 *(0(),y) -> 0()
 *(s(x),y) -> +(y,*(x,y))
 -(0(),y) -> 0()
 -(x,0()) -> x
 -(s(x),s(y)) -> -(x,y)

Proof:
 DP Processor:
  DPs:
   exp#(x,s(y)) -> exp#(x,y)
   exp#(x,s(y)) -> *#(x,exp(x,y))
   *#(s(x),y) -> *#(x,y)
   -#(s(x),s(y)) -> -#(x,y)
  TRS:
   exp(x,0()) -> s(0())
   exp(x,s(y)) -> *(x,exp(x,y))
   *(0(),y) -> 0()
   *(s(x),y) -> +(y,*(x,y))
   -(0(),y) -> 0()
   -(x,0()) -> x
   -(s(x),s(y)) -> -(x,y)
  Usable Rule Processor:
   DPs:
    exp#(x,s(y)) -> exp#(x,y)
    exp#(x,s(y)) -> *#(x,exp(x,y))
    *#(s(x),y) -> *#(x,y)
    -#(s(x),s(y)) -> -#(x,y)
   TRS:
    f9(x,y) -> x
    f9(x,y) -> y
    exp(x,0()) -> s(0())
    exp(x,s(y)) -> *(x,exp(x,y))
    *(0(),y) -> 0()
    *(s(x),y) -> +(y,*(x,y))
   EDG Processor:
    DPs:
     exp#(x,s(y)) -> exp#(x,y)
     exp#(x,s(y)) -> *#(x,exp(x,y))
     *#(s(x),y) -> *#(x,y)
     -#(s(x),s(y)) -> -#(x,y)
    TRS:
     f9(x,y) -> x
     f9(x,y) -> y
     exp(x,0()) -> s(0())
     exp(x,s(y)) -> *(x,exp(x,y))
     *(0(),y) -> 0()
     *(s(x),y) -> +(y,*(x,y))
    graph:
     -#(s(x),s(y)) -> -#(x,y) -> -#(s(x),s(y)) -> -#(x,y)
     *#(s(x),y) -> *#(x,y) -> *#(s(x),y) -> *#(x,y)
     exp#(x,s(y)) -> *#(x,exp(x,y)) -> *#(s(x),y) -> *#(x,y)
     exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> exp#(x,y)
     exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> *#(x,exp(x,y))
    Restore Modifier:
     DPs:
      exp#(x,s(y)) -> exp#(x,y)
      exp#(x,s(y)) -> *#(x,exp(x,y))
      *#(s(x),y) -> *#(x,y)
      -#(s(x),s(y)) -> -#(x,y)
     TRS:
      exp(x,0()) -> s(0())
      exp(x,s(y)) -> *(x,exp(x,y))
      *(0(),y) -> 0()
      *(s(x),y) -> +(y,*(x,y))
      -(0(),y) -> 0()
      -(x,0()) -> x
      -(s(x),s(y)) -> -(x,y)
     SCC Processor:
      #sccs: 3
      #rules: 3
      #arcs: 5/16
      DPs:
       exp#(x,s(y)) -> exp#(x,y)
      TRS:
       exp(x,0()) -> s(0())
       exp(x,s(y)) -> *(x,exp(x,y))
       *(0(),y) -> 0()
       *(s(x),y) -> +(y,*(x,y))
       -(0(),y) -> 0()
       -(x,0()) -> x
       -(s(x),s(y)) -> -(x,y)
      Open
      
      DPs:
       *#(s(x),y) -> *#(x,y)
      TRS:
       exp(x,0()) -> s(0())
       exp(x,s(y)) -> *(x,exp(x,y))
       *(0(),y) -> 0()
       *(s(x),y) -> +(y,*(x,y))
       -(0(),y) -> 0()
       -(x,0()) -> x
       -(s(x),s(y)) -> -(x,y)
      Open
      
      DPs:
       -#(s(x),s(y)) -> -#(x,y)
      TRS:
       exp(x,0()) -> s(0())
       exp(x,s(y)) -> *(x,exp(x,y))
       *(0(),y) -> 0()
       *(s(x),y) -> +(y,*(x,y))
       -(0(),y) -> 0()
       -(x,0()) -> x
       -(s(x),s(y)) -> -(x,y)
      Open