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