Input TRS:
    1: and(tt(),tt()) -> tt()
    2: is_nat(0()) -> tt()
    3: is_nat(s(x)) -> is_nat(x)
    4: is_natlist(nil()) -> tt()
    5: is_natlist(cons(x,xs)) -> and(is_nat(x),is_natlist(xs))
    6: from(x) -> fromCond(is_natlist(x),x)
    7: fromCond(tt(),cons(x,xs)) -> from(cons(s(x),cons(x,xs)))
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #from(x) -> #fromCond(is_natlist(x),x)
   #2: #from(x) -> #is_natlist(x)
   #3: #fromCond(tt(),cons(x,xs)) -> #from(cons(s(x),cons(x,xs)))
   #4: #is_natlist(cons(x,xs)) -> #and(is_nat(x),is_natlist(xs))
   #5: #is_natlist(cons(x,xs)) -> #is_nat(x)
   #6: #is_natlist(cons(x,xs)) -> #is_natlist(xs)
   #7: #is_nat(s(x)) -> #is_nat(x)
Number of SCCs: 3, DPs: 4, edges: 4
	SCC { #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
is_nat(x1)	weight: 0
   and(x1,x2)	weight: 0
#is_natlist(x1)	weight: 0
fromCond(x1,x2)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   nil()	weight: 0
#is_nat(x1)	weight: x1
#from(x1)	weight: 0
#fromCond(x1,x2)	weight: 0
  cons(x1,x2)	weight: 0
    tt()	weight: 0
is_natlist(x1)	weight: 0
 #and(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #7
Number of SCCs: 2, DPs: 3, edges: 3
	SCC { #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2)
is_nat(x1)	weight: 0
   and(x1,x2)	weight: 0
#is_natlist(x1)	weight: x1
fromCond(x1,x2)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   nil()	weight: 0
#is_nat(x1)	weight: 0
#from(x1)	weight: 0
#fromCond(x1,x2)	weight: 0
  cons(x1,x2)	weight: (/ 1 2) + x2
    tt()	weight: 0
is_natlist(x1)	weight: 0
 #and(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #1 #3 }
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