/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: f(s(x)) -> s(s(f(p(s(x)))))
    2: f(0()) -> 0()
    3: p(s(x)) -> x
Number of strict rules: 3
Direct POLO(bPol) ... removes: 2
      s 	w: x1
      f 	w: 2 * x1 + 1
      p 	w: x1
      0 	w: 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying p
1: f(s(x)) -> s(s(f(p^1_s(x))))
3: p^1_s(x) -> x
4: p(s(_1)) ->= p^1_s(_1)
Number of strict rules: 2
Direct POLO(bPol) ... removes: 4
      s 	w: x1 + 1
      p^1_s	w: x1
      f 	w: 2 * x1 + 1
      p 	w: 2 * x1
      0 	w: 0
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f(s(x)) -> #f(p^1_s(x))
   #2: #f(s(x)) -> #p^1_s(x)
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #p^1_s	w: 0
      p^1_s	w: x1 + 1
      f 	w: 0
      p 	w: 0
      0 	w: 0
      #f 	w: x1
    USABLE RULES: { 3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0