MAYBE

Problem:
 plus(0(),x) -> x
 plus(s(x),y) -> s(plus(x,y))
 times(0(),y) -> 0()
 times(s(x),y) -> plus(y,times(x,y))
 exp(x,0()) -> s(0())
 exp(x,s(y)) -> times(x,exp(x,y))
 ge(x,0()) -> true()
 ge(0(),s(x)) -> false()
 ge(s(x),s(y)) -> ge(x,y)
 tower(x,y) -> towerIter(0(),x,y,s(0()))
 towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z)
 help(true(),c,x,y,z) -> z
 help(false(),c,x,y,z) -> towerIter(s(c),x,y,exp(y,z))

Proof:
 DP Processor:
  DPs:
   plus#(s(x),y) -> plus#(x,y)
   times#(s(x),y) -> times#(x,y)
   times#(s(x),y) -> plus#(y,times(x,y))
   exp#(x,s(y)) -> exp#(x,y)
   exp#(x,s(y)) -> times#(x,exp(x,y))
   ge#(s(x),s(y)) -> ge#(x,y)
   tower#(x,y) -> towerIter#(0(),x,y,s(0()))
   towerIter#(c,x,y,z) -> ge#(c,x)
   towerIter#(c,x,y,z) -> help#(ge(c,x),c,x,y,z)
   help#(false(),c,x,y,z) -> exp#(y,z)
   help#(false(),c,x,y,z) -> towerIter#(s(c),x,y,exp(y,z))
  TRS:
   plus(0(),x) -> x
   plus(s(x),y) -> s(plus(x,y))
   times(0(),y) -> 0()
   times(s(x),y) -> plus(y,times(x,y))
   exp(x,0()) -> s(0())
   exp(x,s(y)) -> times(x,exp(x,y))
   ge(x,0()) -> true()
   ge(0(),s(x)) -> false()
   ge(s(x),s(y)) -> ge(x,y)
   tower(x,y) -> towerIter(0(),x,y,s(0()))
   towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z)
   help(true(),c,x,y,z) -> z
   help(false(),c,x,y,z) -> towerIter(s(c),x,y,exp(y,z))
  Open