/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 POLO(bPol) ... removes: 3 2
      s 	w: 2 * x1 + 1
      0 	w: 1
      max	w: x1
      L 	w: x1
      N 	w: 2 * x1 + x2 + 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying 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 POLO(bPol) ... removes: 4 1 5 7 6
      s 	w: x1
      max^1_N^1_L	w: 2 * x1 + x2
      0 	w: 0
      max	w: 2 * x1
      max^1_L	w: 2 * x1 + 1
      L 	w: x1 + 1
      N 	w: 2 * x1 + x2 + 3
      max^1_N	w: 2 * x1 + x2 + 1
Number of strict rules: 0