/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: prime(0()) -> false()
    2: prime(s(0())) -> false()
    3: prime(s(s(x))) -> prime1(s(s(x)),s(x))
    4: prime1(x,0()) -> false()
    5: prime1(x,s(0())) -> true()
    6: prime1(x,s(s(y))) -> and(not(divp(s(s(y)),x)),prime1(x,s(y)))
    7: divp(x,y) -> =(rem(x,y),0())
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #prime1(x,s(s(y))) -> #divp(s(s(y)),x)
   #2: #prime1(x,s(s(y))) -> #prime1(x,s(y))
   #3: #prime(s(s(x))) -> #prime1(s(s(x)),s(x))
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      prime	w: 0
      and	w: 0
      false	w: 0
      true	w: 0
      #prime	w: 0
      0 	w: 0
      = 	w: 0
      #prime1	w: x2
      prime1	w: 0
      rem	w: 0
      #divp	w: 0
      divp	w: 0
      not	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0