/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)
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)... succeeded.
      le	w: 0
      s 	w: x1 + 1
      #le	w: 0
      minus	w: 0
      mod	w: 0
      false	w: 0
      true	w: 0
      pred	w: 0
      if_mod	w: 0
      0 	w: 0
      #minus	w: x2
      #mod	w: 0
      #if_mod	w: 0
      #pred	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 3
  SCC { #7 }
POLO(Sum)... succeeded.
      le	w: 0
      s 	w: x1 + 1
      #le	w: x2
      minus	w: 0
      mod	w: 0
      false	w: 0
      true	w: 0
      pred	w: 0
      if_mod	w: 0
      0 	w: 0
      #minus	w: 0
      #mod	w: 0
      #if_mod	w: 0
      #pred	w: 0
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
  SCC { #3 #5 }
POLO(Sum)... succeeded.
      le	w: x1 + 1
      s 	w: x1 + 3
      #le	w: 0
      minus	w: x1 + 1
      mod	w: 0
      false	w: 5
      true	w: 4
      pred	w: x1
      if_mod	w: 0
      0 	w: 2
      #minus	w: 0
      #mod	w: x1 + x2 + 1
      #if_mod	w: x2 + x3
      #pred	w: 0
    USABLE RULES: { 4..6 }
    Removed DPs: #3 #5
Number of SCCs: 0, DPs: 0