YES
Input TRS:
C symbols: gcd
      1: le(0(),y) -> true()
      2: le(s(x),0()) -> false()
      3: le(s(x),s(y)) -> le(x,y)
      4: pred(s(x)) -> x
      5: minus(x,0()) -> x
      6: minus(x,s(y)) -> pred(minus(x,y))
      7: gcd(0(),y) -> y
      8: gcd(s(x),0()) -> s(x)
      9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
      10: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y))
      11: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x))
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #minus(x,s(y)) -> #pred(minus(x,y))
     #2: #minus(x,s(y)) -> #minus(x,y)
     #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y))
     #4: #gcd(s(x),s(y)) -> #le(y,x)
     #5: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x))
     #6: #if_gcd(false(),s(x),s(y)) -> #minus(y,x)
     #7: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y))
     #8: #if_gcd(true(),s(x),s(y)) -> #minus(x,y)
     #9: #le(s(x),s(y)) -> #le(x,y)
Number of SCCs: 3, DPs: 5
  SCC { #2 }
POLO(Sum)... succeeded.
      le	w: 0
      s 	w: x1 + 1
      #le	w: 0
      minus	w: 0
      gcd	w: 0
      false	w: 0
      true	w: 0
      pred	w: 0
      0 	w: 0
      #minus	w: x2
      #pred	w: 0
      if_gcd	w: 0
      #if_gcd	w: 0
      #gcd	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 4
  SCC { #9 }
POLO(Sum)... succeeded.
      le	w: 0
      s 	w: x1 + 1
      #le	w: x2
      minus	w: 0
      gcd	w: 0
      false	w: 0
      true	w: 0
      pred	w: 0
      0 	w: 0
      #minus	w: 0
      #pred	w: 0
      if_gcd	w: 0
      #if_gcd	w: 0
      #gcd	w: 0
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 3
  SCC { #3 #5 #7 }
POLO(Sum)... succeeded.
      le	w: x1 + x2 + 1
      s 	w: x1 + 3
      #le	w: 0
      minus	w: x1 + 1
      gcd	w: 0
      false	w: 6
      true	w: 3
      pred	w: x1
      0 	w: 1
      #minus	w: 0
      #pred	w: 0
      if_gcd	w: 0
      #if_gcd	w: x2 + x3
      #gcd	w: x1 + x2 + 1
    USABLE RULES: { 4..6 }
    Removed DPs: #3 #5 #7
Number of SCCs: 0, DPs: 0
Next Dependency Pairs:
Number of SCCs: 0, DPs: 0