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


--------------------------------------------------------------------------------


YES
Input TRS:
    1: natsFrom(N) -> cons(N,n__natsFrom(s(N)))
    2: fst(pair(XS,YS)) -> XS
    3: snd(pair(XS,YS)) -> YS
    4: splitAt(0(),XS) -> pair(nil(),XS)
    5: splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS))
    6: u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS)
    7: head(cons(N,XS)) -> N
    8: tail(cons(N,XS)) -> activate(XS)
    9: sel(N,XS) -> head(afterNth(N,XS))
    10: take(N,XS) -> fst(splitAt(N,XS))
    11: afterNth(N,XS) -> snd(splitAt(N,XS))
    12: natsFrom(X) -> n__natsFrom(X)
    13: activate(n__natsFrom(X)) -> natsFrom(X)
    14: activate(X) -> X
Number of strict rules: 14
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #u(pair(YS,ZS),N,X,XS) -> #activate(X)
   #2: #activate(n__natsFrom(X)) -> #natsFrom(X)
   #3: #sel(N,XS) -> #head(afterNth(N,XS))
   #4: #sel(N,XS) -> #afterNth(N,XS)
   #5: #afterNth(N,XS) -> #snd(splitAt(N,XS))
   #6: #afterNth(N,XS) -> #splitAt(N,XS)
   #7: #take(N,XS) -> #fst(splitAt(N,XS))
   #8: #take(N,XS) -> #splitAt(N,XS)
   #9: #splitAt(s(N),cons(X,XS)) -> #u(splitAt(N,activate(XS)),N,X,activate(XS))
   #10: #splitAt(s(N),cons(X,XS)) -> #splitAt(N,activate(XS))
   #11: #splitAt(s(N),cons(X,XS)) -> #activate(XS)
   #12: #splitAt(s(N),cons(X,XS)) -> #activate(XS)
   #13: #tail(cons(N,XS)) -> #activate(XS)
Number of SCCs: 1, DPs: 1
  SCC { #10 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #take	w: 0
      u 	w: 0
      activate	w: x1 + 2
      take	w: 0
      #u 	w: 0
      pair	w: 0
      fst	w: 0
      #activate	w: 0
      natsFrom	w: x1 + 3
      #head	w: 0
      splitAt	w: 0
      #fst	w: 0
      n__natsFrom	w: x1 + 1
      tail	w: 0
      0 	w: 0
      #sel	w: 0
      sel	w: 0
      afterNth	w: 0
      nil	w: 0
      #tail	w: 0
      #splitAt	w: x1
      #afterNth	w: 0
      head	w: 0
      #snd	w: 0
      cons	w: x2 + 1
      #natsFrom	w: 0
      snd	w: 0
    USABLE RULES: { 1 12..14 }
    Removed DPs: #10
Number of SCCs: 0, DPs: 0