Input TRS:
    1: plus(0(),x) -> x
    2: plus(s(x),y) -> s(plus(x,y))
    3: times(0(),y) -> 0()
    4: times(s(x),y) -> plus(y,times(x,y))
    5: exp(x,0()) -> s(0())
    6: exp(x,s(y)) -> times(x,exp(x,y))
    7: ge(x,0()) -> true()
    8: ge(0(),s(x)) -> false()
    9: ge(s(x),s(y)) -> ge(x,y)
    10: tower(x,y) -> towerIter(0(),x,y,s(0()))
    11: towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z)
    12: help(true(),c,x,y,z) -> z
    13: help(false(),c,x,y,z) -> towerIter(s(c),x,y,exp(y,z))
Number of strict rules: 13
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #plus(s(x),y) -> #plus(x,y)
   #2: #exp(x,s(y)) -> #times(x,exp(x,y))
   #3: #exp(x,s(y)) -> #exp(x,y)
   #4: #help(false(),c,x,y,z) -> #towerIter(s(c),x,y,exp(y,z))
   #5: #help(false(),c,x,y,z) -> #exp(y,z)
   #6: #ge(s(x),s(y)) -> #ge(x,y)
   #7: #towerIter(c,x,y,z) -> #help(ge(c,x),c,x,y,z)
   #8: #towerIter(c,x,y,z) -> #ge(c,x)
   #9: #tower(x,y) -> #towerIter(0(),x,y,s(0()))
   #10: #times(s(x),y) -> #plus(y,times(x,y))
   #11: #times(s(x),y) -> #times(x,y)
Number of SCCs: 5, DPs: 6, edges: 6
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 tower(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
#help(x1,x2,x3,x4,x5)	weight: 0
#plus(x1,x2)	weight: x1
towerIter(x1,x2,x3,x4)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: 0
 #exp(x1,x2)	weight: 0
  true()	weight: 0
#times(x1,x2)	weight: 0
     0()	weight: 0
    ge(x1,x2)	weight: 0
 times(x1,x2)	weight: 0
#tower(x1,x2)	weight: 0
#towerIter(x1,x2,x3,x4)	weight: 0
  plus(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
  help(x1,x2,x3,x4,x5)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 4, DPs: 5, edges: 5
	SCC { #11 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 tower(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
#help(x1,x2,x3,x4,x5)	weight: 0
#plus(x1,x2)	weight: 0
towerIter(x1,x2,x3,x4)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: 0
 #exp(x1,x2)	weight: 0
  true()	weight: 0
#times(x1,x2)	weight: x1
     0()	weight: 0
    ge(x1,x2)	weight: 0
 times(x1,x2)	weight: 0
#tower(x1,x2)	weight: 0
#towerIter(x1,x2,x3,x4)	weight: 0
  plus(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
  help(x1,x2,x3,x4,x5)	weight: 0
    Usable rules: { }
    Removed DPs: #11
Number of SCCs: 3, DPs: 4, edges: 4
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 tower(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
#help(x1,x2,x3,x4,x5)	weight: 0
#plus(x1,x2)	weight: 0
towerIter(x1,x2,x3,x4)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: 0
 #exp(x1,x2)	weight: x2
  true()	weight: 0
#times(x1,x2)	weight: 0
     0()	weight: 0
    ge(x1,x2)	weight: 0
 times(x1,x2)	weight: 0
#tower(x1,x2)	weight: 0
#towerIter(x1,x2,x3,x4)	weight: 0
  plus(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
  help(x1,x2,x3,x4,x5)	weight: 0
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 2, DPs: 3, edges: 3
	SCC { #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 tower(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
#help(x1,x2,x3,x4,x5)	weight: 0
#plus(x1,x2)	weight: 0
towerIter(x1,x2,x3,x4)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: x2
 #exp(x1,x2)	weight: 0
  true()	weight: 0
#times(x1,x2)	weight: 0
     0()	weight: 0
    ge(x1,x2)	weight: 0
 times(x1,x2)	weight: 0
#tower(x1,x2)	weight: 0
#towerIter(x1,x2,x3,x4)	weight: 0
  plus(x1,x2)	weight: 0
   exp(x1,x2)	weight: 0
  help(x1,x2,x3,x4,x5)	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #4 #7 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE