/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO
Input TRS:
    1: f(0()) -> cons(0(),f(s(0())))
    2: f(s(0())) -> f(p(s(0())))
    3: p(s(0())) -> 0()
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying f p^1_s p
1: f^1_0() -> cons(0(),f^1_s(0()))
2: f^1_s(0()) -> f(p^1_s^1_0())
3: p^1_s^1_0() -> 0()
4: p(s(_1)) ->= p^1_s(_1)
5: p^1_s(0()) ->= p^1_s^1_0()
6: f(0()) ->= f^1_0()
7: f(s(_1)) ->= f^1_s(_1)
Number of strict rules: 3
Direct POLO(bPol) ... removes: 4 5 7
      s 	w: x1 + 2
      p^1_s	w: x1 + 1
      f 	w: x1 + 1
      p 	w: 2 * x1
      0 	w: 0
      p^1_s^1_0	w: 0
      cons	w: x1 + x2
      f^1_0	w: 1
      f^1_s	w: x1 + 1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f^1_s(0()) -> #f(p^1_s^1_0())
   #2: #f^1_s(0()) -> #p^1_s^1_0()
   #3: #f(0()) ->? #f^1_0()
   #4: #f^1_0() -> #f^1_s(0())
Number of SCCs: 1, DPs: 3
  SCC { #1 #3 #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  found.
  #f^1_0()	-#4->
  #f^1_s(0())	--->*
  #f^1_s(0())	-#1->
  #f(p^1_s^1_0())	--->*
  #f(0())	-#3->
  #f^1_0()	--->*
  #f^1_0()
  Looping with: [ ]