Runti Compl Inner Rewri 22807 pair #381904783

details

property	value
status	complete
benchmark	#3.16.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n077.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	8.75653100014 seconds
cpu usage	48.078959603
max memory	4.12913664E8

stage attributes

key	value
output-size	37901
starexec-result	WORST_CASE(Omega(n^1),O(n^3))

output

/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


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

** Step 1.b:1: DependencyPairs WORST_CASE(?,O(n^3))
    + Considered Problem:
        - Strict TRS:
            plus(x,0()) -> x
            plus(x,s(y)) -> s(plus(x,y))
            plus(0(),x) -> x
            plus(s(x),y) -> s(plus(x,y))
            times(x,0()) -> 0()
            times(x,s(y)) -> plus(times(x,y),x)
        - Signature:
            {plus/2,times/2} / {0/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {plus,times} and constructors {0,s}
    + Applied Processor:
        DependencyPairs {dpKind_ = DT}
    + Details:
        We add the following dependency tuples:
        
        Strict DPs
          plus#(x,0()) -> c_1()
          plus#(x,s(y)) -> c_2(plus#(x,y))
          plus#(0(),x) -> c_3()
          plus#(s(x),y) -> c_4(plus#(x,y))
          times#(x,0()) -> c_5()
          times#(x,s(y)) -> c_6(plus#(times(x,y),x),times#(x,y))
        Weak DPs
          
        
        and mark the set of starting terms.
** Step 1.b:2: PredecessorEstimation WORST_CASE(?,O(n^3))
    + Considered Problem:
        - Strict DPs:
            plus#(x,0()) -> c_1()
            plus#(x,s(y)) -> c_2(plus#(x,y))
            plus#(0(),x) -> c_3()
            plus#(s(x),y) -> c_4(plus#(x,y))
            times#(x,0()) -> c_5()
            times#(x,s(y)) -> c_6(plus#(times(x,y),x),times#(x,y))
        - Weak TRS:
            plus(x,0()) -> x
            plus(x,s(y)) -> s(plus(x,y))
            plus(0(),x) -> x
            plus(s(x),y) -> s(plus(x,y))
            times(x,0()) -> 0()
            times(x,s(y)) -> plus(times(x,y),x)
        - Signature:
            {plus/2,times/2,plus#/2,times#/2} / {0/0,s/1,c_1/0,c_2/1,c_3/0,c_4/1,c_5/0,c_6/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {plus#,times#} and constructors {0,s}
    + Applied Processor:
        PredecessorEstimation {onSelection = all simple predecessor estimation selector}
    + Details:
        We estimate the number of application of
          {1,3,5}
        by application of

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to Runti Compl Inner Rewri 22807