/export/starexec/sandbox/solver/bin/starexec_run_tct_dci /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:
            p(p(b(a(x0)),x1),p(x2,x3)) -> p(p(x3,a(x2)),p(b(a(x1)),b(x0)))
        - Signature:
            {p/2} / {a/1,b/1}
        - Obligation:
            innermost derivational complexity wrt. signature {a,b,p}
    + Applied Processor:
        Bounds {initialAutomaton = perSymbol, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          a_0(1) -> 1
          a_0(2) -> 1
          a_0(3) -> 1
          a_1(1) -> 8
          a_1(1) -> 9
          a_1(2) -> 8
          a_1(3) -> 8
          a_1(4) -> 10
          a_1(6) -> 11
          a_1(8) -> 8
          a_1(9) -> 8
          a_1(11) -> 8
          b_0(1) -> 2
          b_0(2) -> 2
          b_0(3) -> 2
          b_1(1) -> 7
          b_1(2) -> 7
          b_1(3) -> 7
          b_1(8) -> 6
          p_0(1,1) -> 3
          p_0(1,2) -> 3
          p_0(1,3) -> 3
          p_0(2,1) -> 3
          p_0(2,2) -> 3
          p_0(2,3) -> 3
          p_0(3,1) -> 3
          p_0(3,2) -> 3
          p_0(3,3) -> 3
          p_1(1,8) -> 4
          p_1(1,9) -> 4
          p_1(2,8) -> 4
          p_1(2,9) -> 4
          p_1(3,8) -> 4
          p_1(3,9) -> 4
          p_1(4,5) -> 3
          p_1(5,10) -> 4
          p_1(6,7) -> 5
          p_1(7,11) -> 4
* Step 2: EmptyProcessor.  WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            p(p(b(a(x0)),x1),p(x2,x3)) -> p(p(x3,a(x2)),p(b(a(x1)),b(x0)))
        - Signature:
            {p/2} / {a/1,b/1}
        - Obligation:
            innermost derivational complexity wrt. signature {a,b,p}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))