Input TRS:
    1: min(x,0()) -> 0()
    2: min(0(),y) -> 0()
    3: min(s(x),s(y)) -> s(min(x,y))
    4: max(x,0()) -> x
    5: max(0(),y) -> y
    6: max(s(x),s(y)) -> s(max(x,y))
    7: -(x,0()) -> x
    8: -(s(x),s(y)) -> -(x,y)
    9: gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y)))
    10: gcd(s(x),0()) -> s(x)
    11: gcd(0(),s(y)) -> s(y)
   e1: min(x,y) ->= min(y,x)	[relative]
   e2: max(x,y) ->= max(y,x)	[relative]
Dependency Pairs:
   #1: # max(s(x),s(y)) -> # max(x,y)
   #2: # min(x,y) -> # min(y,x)	[relative]
   #3: # gcd(s(x),s(y)) -> # gcd(-(max(x,y),min(x,y)),s(min(x,y)))
   #4: # gcd(s(x),s(y)) -> # -(max(x,y),min(x,y))
   #5: # gcd(s(x),s(y)) -> # max(x,y)
   #6: # gcd(s(x),s(y)) -> # min(x,y)
   #7: # gcd(s(x),s(y)) -> # min(x,y)
   #8: # max(x,y) -> # max(y,x)	[relative]
   #9: # min(s(x),s(y)) -> # min(x,y)
   #10: # -(s(x),s(y)) -> # -(x,y)
Number of SCCs: 4
  SCC { #10 }
    POLO(Sum)... removes: #10
	I(s) = max(x1 + 2, 0)
	I(# -) = max(x2 - 1, 0)
    USABLE RULES: { }
Number of SCCs: 3
  SCC { #2 #9 }
    POLO(Sum)... removes: #9
	I(s) = max(x1 + 1, 0)
	I(# min) = max(x1 + x2, 0)
    USABLE RULES: { }
Number of SCCs: 3
  SCC { #2 }
    POLO(Sum)... QLPOS... QWPOpS(mSum)... Mat2b... failed.