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


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WORST_CASE(?,O(n^1))
* Step 1: Bounds.  WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a())
        - Signature:
            {f/2} / {a/0}
        - Obligation:
             derivational complexity wrt. signature {a,f}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 2.
        The enriched problem is compatible with follwoing automaton.
          a_0() -> 1
          a_1() -> 3
          a_1() -> 6
          a_1() -> 7
          a_1() -> 8
          a_2() -> 10
          a_2() -> 13
          a_2() -> 14
          a_2() -> 15
          f_0(1,1) -> 1
          f_1(1,8) -> 5
          f_1(2,3) -> 1
          f_1(2,8) -> 5
          f_1(4,5) -> 2
          f_1(6,7) -> 4
          f_2(2,15) -> 12
          f_2(9,10) -> 5
          f_2(11,12) -> 9
          f_2(13,14) -> 11
* Step 2: EmptyProcessor.  WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a())
        - Signature:
            {f/2} / {a/0}
        - Obligation:
             derivational complexity wrt. signature {a,f}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))