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


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


YES
Input TRS:
    1: f(j(x,y),y) -> g(f(x,k(y)))
    2: f(x,h1(y,z)) -> h2(0(),x,h1(y,z))
    3: g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u))
    4: h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u))
    5: i(f(x,h(y))) -> y
    6: i(h2(s(x),y,h1(x,z))) -> z
    7: k(h(x)) -> h1(0(),x)
    8: k(h1(x,y)) -> h1(s(x),y)
Number of strict rules: 8
Direct poly ... removes: 4 8 1 3 5 7 6 2
  h(x1)		w: (1 + 2 * x1)
  s(x1)		w: (1 + x1)
  k(x1)		w: (3 + x1)
  f(x1,x2)		w: (3 + 2 * x2 + x1)
  0()		w: (1)
  j(x1,x2)		w: (14 + x2 + 2 * x1)
  h1(x1,x2)		w: (1 + x2 + 2 * x1)
  i(x1)		w: (1142 + 2 * x1)
  h2(x1,x2,x3)		w: (2 * x3 + x2 + 2 * x1)
  g(x1)		w: (3 + x1)
Number of strict rules: 0