0.00/0.17	NO
0.00/0.17	Input TRS:
0.00/0.17	    1: min(x,0()) -> 0()
0.00/0.17	    2: min(0(),y) -> 0()
0.00/0.17	    3: min(s(x),s(y)) -> s(min(x,y))
0.00/0.17	    4: max(x,0()) -> x
0.00/0.17	    5: max(0(),y) -> y
0.00/0.17	    6: max(s(x),s(y)) -> s(max(x,y))
0.00/0.17	    7: -(x,0()) -> x
0.00/0.17	    8: -(s(x),s(y)) -> -(x,y)
0.00/0.17	    9: gcd(nil()) -> 0()
0.00/0.17	    10: gcd(cons(x,nil())) -> x
0.00/0.17	    11: gcd(cons(0(),y)) -> gcd(y)
0.00/0.17	    12: gcd(cons(x,cons(y,z))) -> gcd(cons(-(x,y),cons(y,z)))
0.00/0.17	    13: gcd(cons(x,cons(y,z))) ->= gcd(cons(max(x,y),cons(min(x,y),z)))
0.00/0.17	Number of strict rules: 12
0.00/0.17	Direct POLO(bPol) ... failed.
0.00/0.17	Uncurrying gcd
0.00/0.17	1: min(x,0()) -> 0()
0.00/0.17	2: min(0(),y) -> 0()
0.00/0.17	3: min(s(x),s(y)) -> s(min(x,y))
0.00/0.17	4: max(x,0()) -> x
0.00/0.17	5: max(0(),y) -> y
0.00/0.17	6: max(s(x),s(y)) -> s(max(x,y))
0.00/0.17	7: -(x,0()) -> x
0.00/0.17	8: -(s(x),s(y)) -> -(x,y)
0.00/0.17	9: gcd^1_nil() -> 0()
0.00/0.17	10: gcd^1_cons(x,nil()) -> x
0.00/0.17	11: gcd^1_cons(0(),y) -> gcd(y)
0.00/0.17	12: gcd^1_cons(x,cons(y,z)) -> gcd^1_cons(-(x,y),cons(y,z))
0.00/0.17	13: gcd^1_cons(x,cons(y,z)) ->= gcd^1_cons(max(x,y),cons(min(x,y),z))
0.00/0.17	14: gcd(cons(_1,_2)) ->= gcd^1_cons(_1,_2)
0.00/0.17	15: gcd(nil()) ->= gcd^1_nil()
0.00/0.17	Number of strict rules: 12
0.00/0.17	Direct POLO(bPol) ... failed.
0.00/0.17	Dependency Pairs:
0.00/0.17	   #1: #max(s(x),s(y)) -> #max(x,y)
0.00/0.17	   #2: #gcd^1_cons(x,cons(y,z)) ->? #gcd^1_cons(max(x,y),cons(min(x,y),z))
0.00/0.17	   #3: #gcd^1_cons(x,cons(y,z)) ->? #max(x,y)
0.00/0.17	   #4: #gcd^1_cons(x,cons(y,z)) ->? #min(x,y)
0.00/0.17	   #5: #gcd^1_cons(0(),y) -> #gcd(y)
0.00/0.17	   #6: #gcd^1_cons(x,cons(y,z)) -> #gcd^1_cons(-(x,y),cons(y,z))
0.00/0.17	   #7: #gcd^1_cons(x,cons(y,z)) -> #-(x,y)
0.00/0.17	   #8: #gcd(cons(_1,_2)) ->? #gcd^1_cons(_1,_2)
0.00/0.17	   #9: #min(s(x),s(y)) -> #min(x,y)
0.00/0.17	   #10: #-(s(x),s(y)) -> #-(x,y)
0.00/0.17	   #11: #gcd(nil()) ->? #gcd^1_nil()
0.00/0.17	Number of SCCs: 4, DPs: 7
0.00/0.17	  SCC { #1 }
0.00/0.17	POLO(Sum)... succeeded.
0.00/0.17	      s 	w: x1 + 1
0.00/0.17	      gcd	w: 0
0.00/0.17	      gcd^1_nil	w: 0
0.00/0.17	      #min	w: 0
0.00/0.17	      #gcd^1_nil	w: 0
0.00/0.17	      0 	w: 0
0.00/0.17	      max	w: 0
0.00/0.17	      nil	w: 0
0.00/0.17	      #max	w: x1 + x2
0.00/0.17	      - 	w: 0
0.00/0.17	      gcd^1_cons	w: 0
0.00/0.17	      min	w: 0
0.00/0.17	      #gcd^1_cons	w: 0
0.00/0.17	      #- 	w: 0
0.00/0.17	      cons	w: 0
0.00/0.17	      #gcd	w: 0
0.00/0.17	    USABLE RULES: { }
0.00/0.17	    Removed DPs: #1
0.00/0.17	Number of SCCs: 3, DPs: 6
0.00/0.17	  SCC { #9 }
0.00/0.17	POLO(Sum)... succeeded.
0.00/0.17	      s 	w: x1 + 1
0.00/0.17	      gcd	w: 0
0.00/0.17	      gcd^1_nil	w: 0
0.00/0.17	      #min	w: x2
0.00/0.17	      #gcd^1_nil	w: 0
0.00/0.17	      0 	w: 0
0.00/0.17	      max	w: 0
0.00/0.17	      nil	w: 0
0.00/0.17	      #max	w: 0
0.00/0.17	      - 	w: 0
0.00/0.17	      gcd^1_cons	w: 0
0.00/0.17	      min	w: 0
0.00/0.17	      #gcd^1_cons	w: 0
0.00/0.17	      #- 	w: 0
0.00/0.17	      cons	w: 0
0.00/0.17	      #gcd	w: 0
0.00/0.17	    USABLE RULES: { }
0.00/0.17	    Removed DPs: #9
0.00/0.17	Number of SCCs: 2, DPs: 5
0.00/0.17	  SCC { #10 }
0.00/0.17	POLO(Sum)... succeeded.
0.00/0.17	      s 	w: x1 + 1
0.00/0.17	      gcd	w: 0
0.00/0.17	      gcd^1_nil	w: 0
0.00/0.17	      #min	w: 0
0.00/0.17	      #gcd^1_nil	w: 0
0.00/0.17	      0 	w: 0
0.00/0.17	      max	w: 0
0.00/0.17	      nil	w: 0
0.00/0.17	      #max	w: 0
0.00/0.17	      - 	w: 0
0.00/0.17	      gcd^1_cons	w: 0
0.00/0.17	      min	w: 0
0.00/0.17	      #gcd^1_cons	w: 0
0.00/0.17	      #- 	w: x2
0.00/0.17	      cons	w: 0
0.00/0.17	      #gcd	w: 0
0.00/0.17	    USABLE RULES: { }
0.00/0.17	    Removed DPs: #10
0.00/0.17	Number of SCCs: 1, DPs: 4
0.00/0.17	  SCC { #2 #5 #6 #8 }
0.00/0.17	POLO(Sum)... succeeded.
0.00/0.17	      s 	w: 1
0.00/0.17	      gcd	w: 0
0.00/0.17	      gcd^1_nil	w: 0
0.00/0.17	      #min	w: 0
0.00/0.17	      #gcd^1_nil	w: 0
0.00/0.17	      0 	w: 1
0.00/0.17	      max	w: x1 + x2 + 1
0.00/0.17	      nil	w: 0
0.00/0.17	      #max	w: 0
0.00/0.17	      - 	w: x1 + x2 + 1
0.00/0.17	      gcd^1_cons	w: 0
0.00/0.17	      min	w: 1
0.00/0.17	      #gcd^1_cons	w: x2 + 1
0.00/0.17	      #- 	w: 0
0.00/0.17	      cons	w: x2 + 2
0.00/0.17	      #gcd	w: x1
0.00/0.17	    USABLE RULES: { 1..3 }
0.00/0.17	    Removed DPs: #5 #8
0.00/0.17	Number of SCCs: 1, DPs: 2
0.00/0.17	  SCC { #2 #6 }
0.00/0.17	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
0.00/0.17	Finding a loop...  found.
0.00/0.17	  #gcd^1_cons(x,cons(y_{1},z_{1}))	-#6->
0.00/0.17	  #gcd^1_cons(-(x,y_{1}),cons(y_{1},z_{1}))	--->*
0.00/0.17	  #gcd^1_cons(-(x,y_{1}),cons(y_{1},z_{1}))
0.00/0.17	  Looping with: [ x := -(x,y_{1}); y_{1} := y_{1}; z_{1} := z_{1}; ]
0.00/0.17	EOF