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


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WORST_CASE(Omega(n^1),?)
* Step 1: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(s(x),x) -> f(s(x),round(s(x)))
            round(0()) -> 0()
            round(0()) -> s(0())
            round(s(0())) -> s(0())
            round(s(s(x))) -> s(s(round(x)))
        - Signature:
            {f/2,round/1} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,round} and constructors {0,s}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(s(x),x) -> f(s(x),round(s(x)))
            round(0()) -> 0()
            round(0()) -> s(0())
            round(s(0())) -> s(0())
            round(s(s(x))) -> s(s(round(x)))
        - Signature:
            {f/2,round/1} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,round} and constructors {0,s}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 3: DecreasingLoops.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(s(x),x) -> f(s(x),round(s(x)))
            round(0()) -> 0()
            round(0()) -> s(0())
            round(s(0())) -> s(0())
            round(s(s(x))) -> s(s(round(x)))
        - Signature:
            {f/2,round/1} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f,round} and constructors {0,s}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          round(x){x -> s(s(x))} =
            round(s(s(x))) ->^+ s(s(round(x)))
              = C[round(x) = round(x){}]

WORST_CASE(Omega(n^1),?)