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


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


YES
Input TRS:
    1: fac(s(x)) -> *(fac(p(s(x))),s(x))
    2: p(s(0())) -> 0()
    3: p(s(s(x))) -> s(p(s(x)))
Number of strict rules: 3
Direct poly ... failed.
Freezing p
1: fac(s(x)) -> *(fac(p❆1_s(x)),s(x))
2: p❆1_s(0()) -> 0()
3: p❆1_s(s(x)) -> s(p❆1_s(x))
4: p(s(_1)) ->= p❆1_s(_1)
Number of strict rules: 3
Direct poly ... removes: 4 1
  s(x1)		w: (15922 + 2 * x1)
  p❆1_s(x1)		w: (x1)
  p(x1)		w: (1 + 2 * x1)
  0()		w: (8946)
  fac(x1)		w: (1 + 2 * x1)
  *(x1,x2)		w: (x2 + x1)
Number of strict rules: 2
Direct poly ... removes: 2
  s(x1)		w: (15922 + x1)
  p❆1_s(x1)		w: (1 + x1)
  p(x1)		w: (2 + 2 * x1)
  0()		w: (8946)
  fac(x1)		w: (2 * x1)
  *(x1,x2)		w: (x2 + x1)
Number of strict rules: 1
Direct poly ... removes: 3
  s(x1)		w: (15922 + x1)
  p❆1_s(x1)		w: (1 + 2 * x1)
  p(x1)		w: (2 + 2 * x1)
  0()		w: (8946)
  fac(x1)		w: (2 * x1)
  *(x1,x2)		w: (x2 + x1)
Number of strict rules: 0