/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(s(X)) -> f(X)
    2: g(cons(0(),Y)) -> g(Y)
    3: g(cons(s(X),Y)) -> s(X)
    4: h(cons(X,Y)) -> h(g(cons(X,Y)))
Number of strict rules: 4
Direct poly ... removes: 1 3 2
  h(x1)		w: (2437 + x1)
  s(x1)		w: (1 + 2 * x1)
  f(x1)		w: (2 * x1)
  0()		w: (1)
  cons(x1,x2)		w: (8856 + 2 * x2 + 2 * x1)
  g(x1)		w: (x1)
Number of strict rules: 1
Direct poly ... failed.
Freezing h
4: h❆1_cons(X,Y) -> h❆1_g(cons(X,Y))
5: h(cons(_1,_2)) ->= h❆1_cons(_1,_2)
6: h(g(_1)) ->= h❆1_g(_1)
Number of strict rules: 1
Direct poly ... removes: 4 5 6
  h(x1)		w: (1 + 2 * x1)
  s(x1)		w: (x1)
  h❆1_cons(x1,x2)		w: (2 + 2 * x2 + x1)
  f(x1)		w: (x1)
  0()		w: (0)
  cons(x1,x2)		w: (1 + x2 + x1)
  h❆1_g(x1)		w: (x1)
  g(x1)		w: (2438 + x1)
Number of strict rules: 0