/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    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: mod(0(),y) -> 0()
    8: mod(s(x),0()) -> 0()
    9: mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y))
    10: if_mod(true(),s(x),s(y)) -> mod(minus(x,y),s(y))
    11: if_mod(false(),s(x),s(y)) -> s(x)
    12: rand(x) ->= x
    13: rand(x) ->= rand(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: #mod(s(x),s(y)) -> #if_mod(le(y,x),s(x),s(y))
   #4: #mod(s(x),s(y)) -> #le(y,x)
   #5: #if_mod(true(),s(x),s(y)) -> #mod(minus(x,y),s(y))
   #6: #if_mod(true(),s(x),s(y)) -> #minus(x,y)
   #7: #le(s(x),s(y)) -> #le(x,y)
Number of SCCs: 3, DPs: 4
  SCC { #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      le	s: [2,1]	p: 0	w: max(x1 + 4, x2 + 2)
      s 	s: [1]	p: 1	w: x1
      #le	s: [2]	p: 0	w: max(x2)
      minus	s: 1
      mod	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 4)
      false	s: []	p: 1	w: 1
      true	s: []	p: 0	w: 3
      pred	s: 1
      rand	s: []	p: 0	w: x1 + 1
      if_mod	s: [3,2]	p: 1	w: max(x1, x2 + 2, x3 + 4)
      0 	s: []	p: 1	w: 0
      #minus	s: [2]	p: 0	w: max(x2)
      #mod	s: []	p: 0	w: max(x2)
      #if_mod	s: [1,2,3]	p: 0	w: max(x1 + 1, x2 + 1, x3 + 1)
      #pred	s: []	p: 0	w: 0
    Removed DPs: #2
Number of SCCs: 2, DPs: 3
  SCC { #7 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      le	s: [2,1]	p: 0	w: max(x1 + 4, x2 + 2)
      s 	s: [1]	p: 1	w: x1
      #le	s: 2
      minus	s: 1
      mod	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 4)
      false	s: []	p: 1	w: 1
      true	s: []	p: 0	w: 3
      pred	s: 1
      rand	s: []	p: 0	w: x1 + 1
      if_mod	s: [3,2]	p: 1	w: max(x1, x2 + 2, x3 + 4)
      0 	s: []	p: 1	w: 0
      #minus	s: [2]	p: 0	w: max(x2)
      #mod	s: []	p: 0	w: max(x2)
      #if_mod	s: [1,2,3]	p: 0	w: max(x1 + 1, x2 + 1, x3 + 1)
      #pred	s: []	p: 0	w: 0
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
  SCC { #3 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      le	s: [2]	p: 0	w: max(x1 + 4, x2 + 2)
      s 	s: [1]	p: 1	w: x1
      #le	s: 2
      minus	s: 1
      mod	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 4)
      false	s: []	p: 1	w: 1
      true	s: []	p: 0	w: 3
      pred	s: 1
      rand	s: []	p: 0	w: x1 + 1
      if_mod	s: [3,2]	p: 1	w: max(x1, x2 + 2, x3 + 4)
      0 	s: []	p: 1	w: 0
      #minus	s: [2]	p: 0	w: max(x2)
      #mod	s: 1
      #if_mod	s: 2
      #pred	s: []	p: 0	w: 0
    Removed DPs: #5
Number of SCCs: 0, DPs: 0