Runti Compl Inner Rewri 22807 pair #381904887

details

property	value
status	complete
benchmark	intlookup.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n028.star.cs.uiowa.edu
space	Frederiksen_Glenstrup

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	222.917134047 seconds
cpu usage	845.152192279
max memory	2.260332544E9

stage attributes

key	value
output-size	1715
starexec-result	WORST_CASE(Omega(n^1),?)

output

/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /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:
            intlookup(e,p) -> intlookup(lookup(e,p),p)
            lookup(Cons(x',xs'),Cons(x,xs)) -> lookup(xs',xs)
            lookup(Nil(),Cons(x,xs)) -> x
            run(e,p) -> intlookup(e,p)
        - Signature:
            {intlookup/2,lookup/2,run/2} / {Cons/2,Nil/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {intlookup,lookup,run} and constructors {Cons,Nil}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            intlookup(e,p) -> intlookup(lookup(e,p),p)
            lookup(Cons(x',xs'),Cons(x,xs)) -> lookup(xs',xs)
            lookup(Nil(),Cons(x,xs)) -> x
            run(e,p) -> intlookup(e,p)
        - Signature:
            {intlookup/2,lookup/2,run/2} / {Cons/2,Nil/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {intlookup,lookup,run} and constructors {Cons,Nil}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          lookup(y,u){y -> Cons(x,y),u -> Cons(z,u)} =
            lookup(Cons(x,y),Cons(z,u)) ->^+ lookup(y,u)
              = C[lookup(y,u) = lookup(y,u){}]

WORST_CASE(Omega(n^1),?)

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