/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(c(s(x),y)) -> f(c(x,s(y)))
    2: g(c(x,s(y))) -> g(c(s(x),y))
Number of strict rules: 2
Direct poly ... failed.
Freezing f g
1: f❆1_c(s(x),y) -> f❆1_c(x,s(y))
2: g❆1_c(x,s(y)) -> g❆1_c(s(x),y)
3: g(c(_1,_2)) ->= g❆1_c(_1,_2)
4: f(c(_1,_2)) ->= f❆1_c(_1,_2)
Number of strict rules: 2
Direct poly ... removes: 4 3 2
  s(x1)		w: (1 + x1)
  g❆1_c(x1,x2)		w: (8365 + 2 * x2 + x1)
  c(x1,x2)		w: (1 + 2 * x2 + 2 * x1)
  f❆1_c(x1,x2)		w: (2 * x2 + 2 * x1)
  f(x1)		w: (x1)
  g(x1)		w: (11797 + 2 * x1)
Number of strict rules: 1
Direct poly ... removes: 1
  s(x1)		w: (1 + x1)
  g❆1_c(x1,x2)		w: (8365 + 2 * x2 + x1)
  c(x1,x2)		w: (1 + 2 * x2 + 2 * x1)
  f❆1_c(x1,x2)		w: (x2 + 2 * x1)
  f(x1)		w: (x1)
  g(x1)		w: (11797 + 2 * x1)
Number of strict rules: 0