/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: max(L(x)) -> x
    2: max(N(L(0()),L(y))) -> y
    3: max(N(L(s(x)),L(s(y)))) -> s(max(N(L(x),L(y))))
    4: max(N(L(x),N(y,z))) -> max(N(L(x),L(max(N(y,z)))))
Number of strict rules: 4
Direct poly ... removes: 3 2
  s(x1)		w: (31893 + 2 * x1)
  0()		w: (21656)
  max(x1)		w: (x1)
  L(x1)		w: (x1)
  N(x1,x2)		w: (31892 + x2 + x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing max❆1_N max
1: max❆1_L(x) -> x
4: max❆1_N❆1_L(x,N(y,z)) -> max❆1_N❆1_L(x,L(max❆1_N(y,z)))
5: max(L(_1)) ->= max❆1_L(_1)
6: max(N(_1,_2)) ->= max❆1_N(_1,_2)
7: max❆1_N(L(_1),_2) ->= max❆1_N❆1_L(_1,_2)
Number of strict rules: 2
Direct poly ... removes: 4 1 5 7 6
  s(x1)		w: (x1)
  max❆1_L(x1)		w: (21239 + x1)
  0()		w: (0)
  max(x1)		w: (21238 + 2 * x1)
  max❆1_N❆1_L(x1,x2)		w: (2 * x2 + x1)
  L(x1)		w: (1 + x1)
  N(x1,x2)		w: (3 + 2 * x2 + 2 * x1)
  max❆1_N(x1,x2)		w: (1 + 2 * x2 + 2 * x1)
Number of strict rules: 0