/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: half(0()) -> 0()
    2: half(s(0())) -> 0()
    3: half(s(s(x))) -> s(half(x))
    4: lastbit(0()) -> 0()
    5: lastbit(s(0())) -> s(0())
    6: lastbit(s(s(x))) -> lastbit(x)
    7: conv(0()) -> cons(nil(),0())
    8: conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x)))
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying lastbit half
1: half^1_0() -> 0()
2: half^1_s(0()) -> 0()
3: half^1_s(s(x)) -> s(half(x))
4: lastbit^1_0() -> 0()
5: lastbit^1_s(0()) -> s(0())
6: lastbit^1_s(s(x)) -> lastbit(x)
7: conv(0()) -> cons(nil(),0())
8: conv(s(x)) -> cons(conv(half^1_s(x)),lastbit^1_s(x))
9: half(0()) ->= half^1_0()
10: half(s(_1)) ->= half^1_s(_1)
11: lastbit(0()) ->= lastbit^1_0()
12: lastbit(s(_1)) ->= lastbit^1_s(_1)
Number of strict rules: 8
Direct POLO(bPol) ... removes: 4 8 1 3 5 10 7 12 11 9 6 2
      conv	w: 2 * x1 + 1
      s 	w: 2 * x1 + 12
      lastbit^1_s	w: 2 * x1 + 13
      half^1_s	w: x1 + 5
      half	w: x1 + 2
      lastbit	w: 2 * x1 + 1
      0 	w: 1
      nil	w: 1
      half^1_0	w: 2
      cons	w: x1 + x2
      lastbit^1_0	w: 2
Number of strict rules: 0