MAYBE
Time: 0.075

Problem:
 Equations:
  
 TRS:
  le(0(),y) -> true()
  le(s(x),0()) -> false()
  le(s(x),s(y)) -> le(x,y)
  pred(s(x)) -> x
  minus(x,0()) -> x
  minus(x,s(y)) -> pred(minus(x,y))
  gcdC(0(),y) -> y
  gcdC(s(x),0()) -> s(x)
  gcdC(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
  if_gcd(true(),s(x),s(y)) -> gcdC(minus(x,y),s(y))
  if_gcd(false(),s(x),s(y)) -> gcdC(minus(y,x),s(x))

Proof:
 DP Processor:
  Equations#:
   
  DPs:
   le#(s(x),s(y)) -> le#(x,y)
   minus#(x,s(y)) -> minus#(x,y)
   minus#(x,s(y)) -> pred#(minus(x,y))
   gcd{C,#}(s(x),s(y)) -> le#(y,x)
   gcd{C,#}(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y))
   if_gcd#(true(),s(x),s(y)) -> minus#(x,y)
   if_gcd#(true(),s(x),s(y)) -> gcd{C,#}(minus(x,y),s(y))
   if_gcd#(false(),s(x),s(y)) -> minus#(y,x)
   if_gcd#(false(),s(x),s(y)) -> gcd{C,#}(minus(y,x),s(x))
  Equations:
   
  TRS:
   le(0(),y) -> true()
   le(s(x),0()) -> false()
   le(s(x),s(y)) -> le(x,y)
   pred(s(x)) -> x
   minus(x,0()) -> x
   minus(x,s(y)) -> pred(minus(x,y))
   gcdC(0(),y) -> y
   gcdC(s(x),0()) -> s(x)
   gcdC(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
   if_gcd(true(),s(x),s(y)) -> gcdC(minus(x,y),s(y))
   if_gcd(false(),s(x),s(y)) -> gcdC(minus(y,x),s(x))
  S:
   
  AC-EDG Processor:
   Equations#:
    
   DPs:
    le#(s(x),s(y)) -> le#(x,y)
    minus#(x,s(y)) -> minus#(x,y)
    minus#(x,s(y)) -> pred#(minus(x,y))
    gcd{C,#}(s(x),s(y)) -> le#(y,x)
    gcd{C,#}(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y))
    if_gcd#(true(),s(x),s(y)) -> minus#(x,y)
    if_gcd#(true(),s(x),s(y)) -> gcd{C,#}(minus(x,y),s(y))
    if_gcd#(false(),s(x),s(y)) -> minus#(y,x)
    if_gcd#(false(),s(x),s(y)) -> gcd{C,#}(minus(y,x),s(x))
   Equations:
    
   TRS:
    le(0(),y) -> true()
    le(s(x),0()) -> false()
    le(s(x),s(y)) -> le(x,y)
    pred(s(x)) -> x
    minus(x,0()) -> x
    minus(x,s(y)) -> pred(minus(x,y))
    gcdC(0(),y) -> y
    gcdC(s(x),0()) -> s(x)
    gcdC(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
    if_gcd(true(),s(x),s(y)) -> gcdC(minus(x,y),s(y))
    if_gcd(false(),s(x),s(y)) -> gcdC(minus(y,x),s(x))
   S:
    
   Open