Runti Compl Full Rewri 10127 pair #381902760

details

property	value
status	timeout (wallclock)
benchmark	2.52.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
space	SK90

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rc
runtime (wallclock)	295.070657015 seconds
cpu usage	670.561085321
max memory	2.305900544E10

stage attributes

unavailable

output

/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(x,0(),0()) -> s(x)
            f(0(),y,0()) -> s(y)
            f(0(),0(),z) -> s(z)
            f(0(),s(0()),s(0())) -> s(s(0()))
            f(0(),s(0()),s(s(z))) -> f(0(),s(0()),z)
            f(0(),s(s(y)),s(0())) -> f(0(),y,s(0()))
            f(0(),s(s(y)),s(s(z))) -> f(0(),y,f(0(),s(s(y)),s(z)))
            f(s(x),0(),s(z)) -> f(x,s(0()),z)
            f(s(x),s(y),0()) -> f(x,y,s(0()))
            f(s(x),s(y),s(z)) -> f(x,y,f(s(x),s(y),z))
            f(s(0()),y,z) -> f(0(),s(y),s(z))
        - Signature:
            {f/3} / {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: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            f(x,0(),0()) -> s(x)
            f(0(),y,0()) -> s(y)
            f(0(),0(),z) -> s(z)
            f(0(),s(0()),s(0())) -> s(s(0()))
            f(0(),s(0()),s(s(z))) -> f(0(),s(0()),z)
            f(0(),s(s(y)),s(0())) -> f(0(),y,s(0()))
            f(0(),s(s(y)),s(s(z))) -> f(0(),y,f(0(),s(s(y)),s(z)))
            f(s(x),0(),s(z)) -> f(x,s(0()),z)
            f(s(x),s(y),0()) -> f(x,y,s(0()))
            f(s(x),s(y),s(z)) -> f(x,y,f(s(x),s(y),z))
            f(s(0()),y,z) -> f(0(),s(y),s(z))
        - Signature:
            {f/3} / {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(0(),s(0()),x){x -> s(s(x))} =
            f(0(),s(0()),s(s(x))) ->^+ f(0(),s(0()),x)
              = C[f(0(),s(0()),x) = f(0(),s(0()),x){}]

WORST_CASE(Omega(n^1),?)

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actions all output return to Runti Compl Full Rewri 10127