Runti Compl Inner Rewri 22807 pair #381904009

details

property	value
status	complete
benchmark	z16.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n057.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	294.226832151 seconds
cpu usage	1014.5977716
max memory	3.2700416E9

stage attributes

key	value
output-size	1421
starexec-result	WORST_CASE(Omega(n^1),?)

output

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

WORST_CASE(Omega(n^1),?)

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