/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(0()) -> s(0())
    2: f(s(0())) -> s(s(0()))
    3: f(s(0())) -> *(s(s(0())),f(0()))
    4: f(+(x,s(0()))) -> +(s(s(0())),f(x))
    5: f(+(x,y)) -> *(f(x),f(y))
Number of strict rules: 5
Direct poly ... removes: 1 5 2
  s(x1)		w: (x1)
  f(x1)		w: (20977 + x1)
  0()		w: (0)
  +(x1,x2)		w: (35658 + x2 + x1)
  *(x1,x2)		w: (x2 + x1)
Number of strict rules: 2
Direct poly ... removes: 4
  s(x1)		w: (1 + x1)
  f(x1)		w: (4 + 2 * x1)
  0()		w: (0)
  +(x1,x2)		w: (3 + x2 + 2 * x1)
  *(x1,x2)		w: (x2 + x1)
Number of strict rules: 1
Direct poly ... failed.
Freezing f
3: f❆1_s(0()) -> *(s(s(0())),f❆1_0())
6: f(0()) ->= f❆1_0()
7: f(s(_1)) ->= f❆1_s(_1)
Number of strict rules: 1
Direct poly ... removes: 3 7 6
  s(x1)		w: (1 + 2 * x1)
  f❆1_s(x1)		w: (15 + 2 * x1)
  f(x1)		w: (8869 + 2 * x1)
  0()		w: (1)
  +(x1,x2)		w: (x2 + x1)
  f❆1_0()		w: (1)
  *(x1,x2)		w: (2 * x2 + 2 * x1)
Number of strict rules: 0