0.00/0.11	YES
0.00/0.12	Input TRS:
0.00/0.12	    1: +(0(),y) -> y
0.00/0.12	    2: +(s(x),y) -> s(+(x,y))
0.00/0.12	    3: sum1(nil()) -> 0()
0.00/0.12	    4: sum1(cons(x,y)) -> +(x,sum1(y))
0.00/0.12	    5: sum2(nil(),z) -> z
0.00/0.12	    6: sum2(cons(x,y),z) -> sum2(y,+(x,z))
0.00/0.12	    7: tests(0()) -> true()
0.00/0.12	    8: tests(s(x)) -> and(test(rands(rand(0()),nil())),x)
0.00/0.12	    9: test(done(y)) -> eq(f(y),g(y))
0.00/0.12	    10: eq(x,x) -> true()
0.00/0.12	    11: rands(0(),y) -> done(y)
0.00/0.12	    12: rands(s(x),y) -> rands(x,::(rand(0()),y))
0.00/0.12	    13: rand(x) ->= x
0.00/0.12	    14: rand(x) ->= rand(s(x))
0.00/0.12	Number of strict rules: 12
0.00/0.12	Direct POLO(bPol) ... removes: 4 8 1 3 5 10 7 11 9 6
0.00/0.12	      rands	w: x1 + x2 + 2
0.00/0.12	      tests	w: 2 * x1 + 8
0.00/0.12	      test	w: 2 * x1 + 1
0.00/0.12	      s 	w: x1
0.00/0.12	      done	w: x1 + 1
0.00/0.12	      and	w: x1 + x2
0.00/0.12	      eq	w: x1 + x2 + 1
0.00/0.12	      sum2	w: 2 * x1 + 2 * x2
0.00/0.12	      ::	w: x1 + x2
0.00/0.12	      true	w: 0
0.00/0.12	      rand	w: x1
0.00/0.12	      f 	w: x1
0.00/0.12	      0 	w: 0
0.00/0.12	      nil	w: 1
0.00/0.12	      cons	w: 2 * x1 + 2 * x2 + 2
0.00/0.12	      + 	w: 2 * x1 + x2 + 1
0.00/0.12	      g 	w: x1 + 1
0.00/0.12	      sum1	w: x1 + 1
0.00/0.12	Number of strict rules: 2
0.00/0.12	Direct POLO(bPol) ... failed.
0.00/0.12	Uncurrying ... failed.
0.00/0.12	Dependency Pairs:
0.00/0.12	   #1: #+(s(x),y) -> #+(x,y)
0.00/0.12	   #2: #rands(s(x),y) -> #rands(x,::(rand(0()),y))
0.00/0.12	Number of SCCs: 2, DPs: 2
0.00/0.12	  SCC { #1 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      rands	s: []	p: 2	w: 2
0.00/0.12	      tests	s: []	p: 0	w: 0
0.00/0.12	      test	s: []	p: 0	w: 0
0.00/0.12	      s 	s: [1]	p: 0	w: x1
0.00/0.12	      done	s: []	p: 0	w: 0
0.00/0.12	      and	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      eq	s: []	p: 0	w: x2 + 1
0.00/0.12	      sum2	s: [1,2]	p: 0	w: x1 + x2
0.00/0.12	      ::	s: []	p: 0	w: 1
0.00/0.12	      true	s: []	p: 0	w: 1
0.00/0.12	      rand	s: []	p: 1	w: x1 + 1
0.00/0.12	      f 	s: []	p: 0	w: 0
0.00/0.12	      #rands	s: [2,1]	p: 0	w: x1 + x2
0.00/0.12	      0 	s: []	p: 1	w: 1
0.00/0.12	      nil	s: []	p: 0	w: 1
0.00/0.12	      cons	s: []	p: 0	w: x2
0.00/0.12	      + 	s: [1]	p: 0	w: x1
0.00/0.12	      g 	s: []	p: 0	w: 0
0.00/0.12	      #+ 	s: [1]	p: 0	w: x1
0.00/0.12	      sum1	s: []	p: 0	w: 0
0.00/0.12	    Removed DPs: #1
0.00/0.12	Number of SCCs: 1, DPs: 1
0.00/0.12	  SCC { #2 }
0.00/0.12	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.12	      rands	s: []	p: 2	w: 4
0.00/0.12	      tests	s: []	p: 0	w: 0
0.00/0.12	      test	s: []	p: 0	w: 0
0.00/0.12	      s 	s: [1]	p: 0	w: x1
0.00/0.12	      done	s: []	p: 0	w: 0
0.00/0.12	      and	s: [1]	p: 0	w: x1 + 1
0.00/0.12	      eq	s: []	p: 0	w: x2 + 1
0.00/0.12	      sum2	s: [1,2]	p: 0	w: x1 + x2
0.00/0.12	      ::	s: [2]	p: 1	w: x2 + 3
0.00/0.12	      true	s: []	p: 0	w: 1
0.00/0.12	      rand	s: []	p: 0	w: x1 + 1
0.00/0.12	      f 	s: []	p: 0	w: 0
0.00/0.12	      #rands	s: [1]	p: 0	w: x1 + 2
0.00/0.12	      0 	s: []	p: 1	w: 3
0.00/0.12	      nil	s: []	p: 0	w: 1
0.00/0.12	      cons	s: []	p: 0	w: x2
0.00/0.12	      + 	s: [1]	p: 0	w: x1
0.00/0.12	      g 	s: []	p: 0	w: 0
0.00/0.12	      #+ 	s: [1]	p: 0	w: x1
0.00/0.12	      sum1	s: []	p: 0	w: 0
0.00/0.12	    Removed DPs: #2
0.00/0.12	Number of SCCs: 0, DPs: 0
0.00/0.12	EOF