/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(a(b(a(c(b(a(x1))))))) -> a(b(a(c(b(b(a(b(a(c(x1))))))))))
        - Signature:
            {b/1} / {a/1,c/1}
        - Obligation:
             derivational complexity wrt. signature {a,b,c}
    + Applied Processor:
        Bounds {initialAutomaton = perSymbol, enrichment = match}
    + Details:
        The problem is match-bounded by 3.
        The enriched problem is compatible with follwoing automaton.
          a_0(1) -> 1
          a_0(2) -> 1
          a_0(3) -> 1
          a_1(4) -> 2
          a_1(4) -> 8
          a_1(6) -> 5
          a_1(10) -> 9
          a_1(12) -> 11
          a_2(13) -> 7
          a_2(15) -> 14
          a_2(19) -> 18
          a_2(21) -> 20
          a_2(22) -> 8
          a_2(22) -> 17
          a_2(24) -> 23
          a_2(28) -> 27
          a_2(30) -> 29
          a_3(31) -> 17
          a_3(33) -> 32
          a_3(37) -> 36
          a_3(39) -> 38
          b_0(1) -> 2
          b_0(2) -> 2
          b_0(3) -> 2
          b_1(5) -> 4
          b_1(8) -> 7
          b_1(9) -> 8
          b_1(11) -> 10
          b_2(14) -> 13
          b_2(17) -> 16
          b_2(18) -> 17
          b_2(20) -> 19
          b_2(23) -> 22
          b_2(26) -> 25
          b_2(27) -> 26
          b_2(29) -> 28
          b_3(32) -> 31
          b_3(35) -> 34
          b_3(36) -> 35
          b_3(38) -> 37
          c_0(1) -> 3
          c_0(2) -> 3
          c_0(3) -> 3
          c_1(1) -> 12
          c_1(2) -> 12
          c_1(3) -> 12
          c_1(4) -> 12
          c_1(7) -> 6
          c_1(22) -> 12
          c_2(4) -> 21
          c_2(6) -> 30
          c_2(16) -> 15
          c_2(22) -> 21
          c_2(24) -> 30
          c_2(25) -> 24
          c_3(24) -> 39
          c_3(34) -> 33
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            b(a(b(a(c(b(a(x1))))))) -> a(b(a(c(b(b(a(b(a(c(x1))))))))))
        - Signature:
            {b/1} / {a/1,c/1}
        - Obligation:
             derivational complexity wrt. signature {a,b,c}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))