0.00/0.55	MAYBE
0.00/0.55	Input TRS:
0.00/0.55	    1: le(0(),y) -> true()
0.00/0.55	    2: le(s(x),0()) -> false()
0.00/0.55	    3: le(s(x),s(y)) -> le(x,y)
0.00/0.55	    4: minus(0(),y) -> 0()
0.00/0.55	    5: minus(s(x),y) -> if_minus(le(s(x),y),s(x),y)
0.00/0.55	    6: if_minus(true(),s(x),y) -> 0()
0.00/0.55	    7: if_minus(false(),s(x),y) -> s(minus(x,y))
0.00/0.55	    8: gcd(0(),y) -> y
0.00/0.55	    9: gcd(s(x),0()) -> s(x)
0.00/0.55	    10: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
0.00/0.55	    11: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y))
0.00/0.55	    12: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x))
0.00/0.55	    13: rand(x) ->= x
0.00/0.55	    14: rand(x) ->= rand(s(x))
0.00/0.55	Number of strict rules: 12
0.00/0.55	Direct POLO(bPol) ... failed.
0.00/0.55	Uncurrying le
0.00/0.55	1: le^1_0(y) -> true()
0.00/0.55	2: le^1_s(x,0()) -> false()
0.00/0.55	3: le^1_s(x,s(y)) -> le(x,y)
0.00/0.55	4: minus(0(),y) -> 0()
0.00/0.55	5: minus(s(x),y) -> if_minus(le^1_s(x,y),s(x),y)
0.00/0.55	6: if_minus(true(),s(x),y) -> 0()
0.00/0.55	7: if_minus(false(),s(x),y) -> s(minus(x,y))
0.00/0.55	8: gcd(0(),y) -> y
0.00/0.55	9: gcd(s(x),0()) -> s(x)
0.00/0.55	10: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y))
0.00/0.55	11: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y))
0.00/0.55	12: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x))
0.00/0.55	13: rand(x) ->= x
0.00/0.55	14: rand(x) ->= rand(s(x))
0.00/0.55	15: le(0(),_1) ->= le^1_0(_1)
0.00/0.55	16: le(s(_1),_2) ->= le^1_s(_1,_2)
0.00/0.55	Number of strict rules: 12
0.00/0.55	Direct POLO(bPol) ... failed.
0.00/0.55	Dependency Pairs:
0.00/0.55	   #1: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y))
0.00/0.55	   #2: #if_gcd(true(),s(x),s(y)) -> #minus(x,y)
0.00/0.55	   #3: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x))
0.00/0.55	   #4: #if_gcd(false(),s(x),s(y)) -> #minus(y,x)
0.00/0.55	   #5: #if_minus(false(),s(x),y) -> #minus(x,y)
0.00/0.55	   #6: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y))
0.00/0.55	   #7: #gcd(s(x),s(y)) -> #le(y,x)
0.00/0.55	   #8: #minus(s(x),y) -> #if_minus(le^1_s(x,y),s(x),y)
0.00/0.55	   #9: #minus(s(x),y) -> #le^1_s(x,y)
0.00/0.55	   #10: #le(s(_1),_2) ->? #le^1_s(_1,_2)
0.00/0.55	   #11: #le^1_s(x,s(y)) -> #le(x,y)
0.00/0.55	   #12: #le(0(),_1) ->? #le^1_0(_1)
0.00/0.55	Number of SCCs: 3, DPs: 7
0.00/0.55	  SCC { #10 #11 }
0.00/0.55	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.55	      #le^1_s	s: [1]	p: 1	w: max(x1)
0.00/0.55	      le	s: []	p: 3	w: max(x2 + 4)
0.00/0.55	      le^1_s	s: []	p: 3	w: max(x2 + 4)
0.00/0.55	      s 	s: [1]	p: 1	w: x1
0.00/0.55	      #le	s: [1]	p: 1	w: max(x1)
0.00/0.55	      #le^1_0	s: []	p: 0	w: 0
0.00/0.55	      minus	s: 1
0.00/0.55	      gcd	s: []	p: 3	w: max(x1 + 2, x2 + 2)
0.00/0.55	      false	s: []	p: 4	w: 3
0.00/0.55	      true	s: []	p: 0	w: 1
0.00/0.55	      rand	s: []	p: 0	w: x1 + 1
0.00/0.55	      0 	s: []	p: 0	w: 0
0.00/0.55	      #if_minus	s: [3]	p: 0	w: max(x3 + 1)
0.00/0.55	      #minus	s: [1,2]	p: 0	w: max(x1, x2)
0.00/0.55	      le^1_0	s: []	p: 3	w: 2
0.00/0.55	      if_minus	s: 2
0.00/0.55	      if_gcd	s: []	p: 3	w: max(x2 + 2, x3 + 2)
0.00/0.55	      #if_gcd	s: [2]	p: 0	w: max(x2 + 1)
0.00/0.55	      #gcd	s: []	p: 0	w: max(x2 + 1)
0.00/0.55	    Removed DPs: #10
0.00/0.55	Number of SCCs: 2, DPs: 5
0.00/0.55	  SCC { #5 #8 }
0.00/0.55	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.55	      #le^1_s	s: [1]	p: 1	w: max(x1)
0.00/0.55	      le	s: []	p: 3	w: max(x2 + 4)
0.00/0.55	      le^1_s	s: []	p: 3	w: max(x2 + 4)
0.00/0.55	      s 	s: [1]	p: 1	w: x1
0.00/0.55	      #le	s: [1]	p: 1	w: max(x1)
0.00/0.55	      #le^1_0	s: []	p: 0	w: 0
0.00/0.55	      minus	s: 1
0.00/0.55	      gcd	s: []	p: 3	w: max(x1 + 2, x2 + 2)
0.00/0.55	      false	s: []	p: 4	w: 3
0.00/0.55	      true	s: []	p: 0	w: 1
0.00/0.55	      rand	s: []	p: 0	w: x1 + 1
0.00/0.55	      0 	s: []	p: 0	w: 0
0.00/0.55	      #if_minus	s: [3,2]	p: 3	w: max(x2, x3 + 4)
0.00/0.55	      #minus	s: [2,1]	p: 3	w: max(x1, x2 + 4)
0.00/0.55	      le^1_0	s: []	p: 3	w: 2
0.00/0.55	      if_minus	s: 2
0.00/0.55	      if_gcd	s: []	p: 3	w: max(x2 + 2, x3 + 2)
0.00/0.55	      #if_gcd	s: [2]	p: 0	w: max(x2 + 1)
0.00/0.55	      #gcd	s: []	p: 0	w: max(x2 + 1)
0.00/0.55	    Removed DPs: #5
0.00/0.55	Number of SCCs: 1, DPs: 3
0.00/0.55	  SCC { #1 #3 #6 }
0.00/0.55	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
0.00/0.55	Finding a loop...  failed.
0.00/0.55	EOF