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


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WORST_CASE(?,O(n^1))
* Step 1: Sum.  WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(f(x)) -> f(c(f(x)))
            f(f(x)) -> f(d(f(x)))
            g(c(x)) -> x
            g(c(0())) -> g(d(1()))
            g(c(1())) -> g(d(0()))
            g(d(x)) -> x
        - Signature:
            {f/1,g/1} / {0/0,1/0,c/1,d/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,g} and constructors {0,1,c,d}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Bounds.  WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            f(f(x)) -> f(c(f(x)))
            f(f(x)) -> f(d(f(x)))
            g(c(x)) -> x
            g(c(0())) -> g(d(1()))
            g(c(1())) -> g(d(0()))
            g(d(x)) -> x
        - Signature:
            {f/1,g/1} / {0/0,1/0,c/1,d/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,g} and constructors {0,1,c,d}
    + Applied Processor:
        Bounds {initialAutomaton = perSymbol, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          0_0() -> 1
          0_0() -> 6
          0_1() -> 6
          0_1() -> 8
          1_0() -> 2
          1_0() -> 6
          1_1() -> 6
          1_1() -> 8
          c_0(1) -> 3
          c_0(1) -> 6
          c_0(2) -> 3
          c_0(2) -> 6
          c_0(3) -> 3
          c_0(3) -> 6
          c_0(4) -> 3
          c_0(4) -> 6
          d_0(1) -> 4
          d_0(1) -> 6
          d_0(2) -> 4
          d_0(2) -> 6
          d_0(3) -> 4
          d_0(3) -> 6
          d_0(4) -> 4
          d_0(4) -> 6
          d_1(8) -> 7
          f_0(1) -> 5
          f_0(2) -> 5
          f_0(3) -> 5
          f_0(4) -> 5
          g_0(1) -> 6
          g_0(2) -> 6
          g_0(3) -> 6
          g_0(4) -> 6
          g_1(7) -> 6
          1 -> 6
          2 -> 6
          3 -> 6
          4 -> 6
          8 -> 6
* Step 3: EmptyProcessor.  WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            f(f(x)) -> f(c(f(x)))
            f(f(x)) -> f(d(f(x)))
            g(c(x)) -> x
            g(c(0())) -> g(d(1()))
            g(c(1())) -> g(d(0()))
            g(d(x)) -> x
        - Signature:
            {f/1,g/1} / {0/0,1/0,c/1,d/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,g} and constructors {0,1,c,d}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))