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


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YES
Input TRS:
    1: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: f(0()) -> s(0())
    4: f(s(x)) -> minus(s(x),g(f(x)))
    5: g(0()) -> 0()
    6: g(s(x)) -> minus(s(x),f(g(x)))
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #g(s(x)) -> #minus(s(x),f(g(x)))
   #3: #g(s(x)) -> #f(g(x))
   #4: #g(s(x)) -> #g(x)
   #5: #f(s(x)) -> #minus(s(x),g(f(x)))
   #6: #f(s(x)) -> #g(f(x))
   #7: #f(s(x)) -> #f(x)
Number of SCCs: 2, DPs: 5
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      minus	w: 0
      f 	w: 0
      0 	w: 0
      #f 	w: 0
      #g 	w: 0
      #minus	w: x1 + x2
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 4
  SCC { #3 #4 #6 #7 }
POLO(Sum)... succeeded.
      s 	w: x1 + 3
      minus	w: x1
      f 	w: x1 + 3
      0 	w: 0
      #f 	w: x1 + 1
      #g 	w: x1
      #minus	w: 0
      g 	w: x1 + 1
    USABLE RULES: { 1..6 }
    Removed DPs: #3 #4 #6 #7
Number of SCCs: 0, DPs: 0