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


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YES
Input TRS:
    1: f(h(x)) -> f(i(x))
    2: g(i(x)) -> g(h(x))
    3: h(a()) -> b()
    4: i(a()) -> b()
Number of strict rules: 4
Direct poly ... removes: 4 3
  h(x1)		w: (2 + 2 * x1)
  a()		w: (1)
  b()		w: (3)
  f(x1)		w: (28108 + x1)
  i(x1)		w: (2 + 2 * x1)
  g(x1)		w: (20823 + x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing f g
1: f❆1_h(x) -> f❆1_i(x)
2: g❆1_i(x) -> g❆1_h(x)
5: g(h(_1)) ->= g❆1_h(_1)
6: g(i(_1)) ->= g❆1_i(_1)
7: f(h(_1)) ->= f❆1_h(_1)
8: f(i(_1)) ->= f❆1_i(_1)
Number of strict rules: 2
Direct poly ... removes: 8 1 5 7 6 2
  h(x1)		w: (1 + x1)
  a()		w: (0)
  f❆1_i(x1)		w: (x1)
  b()		w: (0)
  g❆1_h(x1)		w: (x1)
  f(x1)		w: (38 + 2 * x1)
  f❆1_h(x1)		w: (1 + x1)
  i(x1)		w: (1 + x1)
  g❆1_i(x1)		w: (1 + x1)
  g(x1)		w: (7723 + 2 * x1)
Number of strict rules: 0