/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(Omega(n^1),?)
* Step 1: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(0(),0(),0(),0(),0()) -> 0()
            f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
            f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
            f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
            f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
            f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
        - Signature:
            {f/5} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f} 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(0(),0(),0(),0(),0()) -> 0()
            f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
            f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
            f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
            f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
            f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
        - Signature:
            {f/5} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f} 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(0(),0(),0(),0(),0()) -> 0()
            f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
            f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
            f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
            f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
            f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
        - Signature:
            {f/5} / {0/0,s/1}
        - Obligation:
             runtime complexity wrt. defined symbols {f} and constructors {0,s}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          f(x,y,z,u,v){x -> s(x)} =
            f(s(x),y,z,u,v) ->^+ f(x,y,z,u,v)
              = C[f(x,y,z,u,v) = f(x,y,z,u,v){}]

WORST_CASE(Omega(n^1),?)