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


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


YES
Input TRS:
    1: f(a(),b()) -> f(a(),c())
    2: f(c(),d()) -> f(b(),d())
Number of strict rules: 2
Direct poly ... failed.
Freezing f
1: f❆1_a(b()) -> f❆1_a(c())
2: f❆1_c(d()) -> f❆1_b(d())
3: f(a(),_1) ->= f❆1_a(_1)
4: f(c(),_1) ->= f❆1_c(_1)
5: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 2
Direct poly ... removes: 4 1 3 5 2
  a()		w: (1)
  d()		w: (1)
  b()		w: (21241)
  c()		w: (21240)
  f❆1_c(x1)		w: (21239 + 2 * x1)
  f(x1,x2)		w: (2 * x2 + x1)
  f❆1_b(x1)		w: (21238 + 2 * x1)
  f❆1_a(x1)		w: (2 * x1)
Number of strict rules: 0