/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: f(0()) -> true()
    2: f(1()) -> false()
    3: f(s(x)) -> f(x)
    4: if(true(),x,y) -> x
    5: if(false(),x,y) -> y
    6: g(s(x),s(y)) -> if(f(x),s(x),s(y))
    7: g(x,c(y)) -> g(x,g(s(c(y)),y))
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #g(s(x),s(y)) -> #if(f(x),s(x),s(y))
   #2: #g(s(x),s(y)) -> #f(x)
   #3: #g(x,c(y)) -> #g(x,g(s(c(y)),y))
   #4: #g(x,c(y)) -> #g(s(c(y)),y)
   #5: #f(s(x)) -> #f(x)
Number of SCCs: 2, DPs: 3
  SCC { #5 }
POLO(Sum)... succeeded.
      1 	w: 0
      s 	w: x1 + 1
      false	w: 0
      c 	w: 0
      true	w: 0
      f 	w: 0
      0 	w: 0
      if	w: 0
      #f 	w: x1
      #g 	w: 0
      #if	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
  SCC { #3 #4 }
POLO(Sum)... succeeded.
      1 	w: 1
      s 	w: 1
      false	w: 3
      c 	w: x1 + 2
      true	w: 2
      f 	w: x1
      0 	w: 1
      if	w: x2 + x3
      #f 	w: 0
      #g 	w: x1 + x2
      #if	w: 0
      g 	w: x1 + x2
    USABLE RULES: { 4..7 }
    Removed DPs: #3 #4
Number of SCCs: 0, DPs: 0