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


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WORST_CASE(?,O(n^1))
* Step 1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            b(X) -> a(X)
            f(a(g(X))) -> b(X)
            f(f(X)) -> f(a(b(f(X))))
        - Signature:
            {b/1,f/1} / {a/1,g/1}
        - Obligation:
             derivational complexity wrt. signature {a,b,f,g}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 3.
        The enriched problem is compatible with follwoing automaton.
          a_0(1) -> 1
          a_1(1) -> 1
          a_1(3) -> 2
          a_2(1) -> 1
          a_2(1) -> 4
          a_2(4) -> 3
          a_2(6) -> 5
          a_3(7) -> 6
          b_0(1) -> 1
          b_1(1) -> 1
          b_1(1) -> 4
          b_1(4) -> 3
          b_2(7) -> 6
          f_0(1) -> 1
          f_1(1) -> 4
          f_1(2) -> 1
          f_1(2) -> 4
          f_2(2) -> 7
          f_2(5) -> 4
          g_0(1) -> 1
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            b(X) -> a(X)
            f(a(g(X))) -> b(X)
            f(f(X)) -> f(a(b(f(X))))
        - Signature:
            {b/1,f/1} / {a/1,g/1}
        - Obligation:
             derivational complexity wrt. signature {a,b,f,g}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))