Runti Compl Inner Rewri 22807 pair #381904831

details

property	value
status	complete
benchmark	ordered_better.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n033.star.cs.uiowa.edu
space	Frederiksen_Glenstrup

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	1.40928697586 seconds
cpu usage	5.834519165
max memory	7.5472896E7

stage attributes

key	value
output-size	3579
starexec-result	WORST_CASE(?,O(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(?,O(n^1))
* Step 1: Sum WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            goal(xs) -> ordered(xs)
            notEmpty(Cons(x,xs)) -> True()
            notEmpty(Nil()) -> False()
            ordered(Cons(x,Nil())) -> True()
            ordered(Cons(x',Cons(x,xs))) -> ordered[Ite](<(x',x),Cons(x',Cons(x,xs)))
            ordered(Nil()) -> True()
        - Weak TRS:
            <(x,0()) -> False()
            <(0(),S(y)) -> True()
            <(S(x),S(y)) -> <(x,y)
            ordered[Ite](False(),xs) -> False()
            ordered[Ite](True(),Cons(x,xs)) -> ordered(xs)
        - Signature:
            {</2,goal/1,notEmpty/1,ordered/1,ordered[Ite]/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {<,goal,notEmpty,ordered,ordered[Ite]} and constructors {0
            ,Cons,False,Nil,S,True}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            goal(xs) -> ordered(xs)
            notEmpty(Cons(x,xs)) -> True()
            notEmpty(Nil()) -> False()
            ordered(Cons(x,Nil())) -> True()
            ordered(Cons(x',Cons(x,xs))) -> ordered[Ite](<(x',x),Cons(x',Cons(x,xs)))
            ordered(Nil()) -> True()
        - Weak TRS:
            <(x,0()) -> False()
            <(0(),S(y)) -> True()
            <(S(x),S(y)) -> <(x,y)
            ordered[Ite](False(),xs) -> False()
            ordered[Ite](True(),Cons(x,xs)) -> ordered(xs)
        - Signature:
            {</2,goal/1,notEmpty/1,ordered/1,ordered[Ite]/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {<,goal,notEmpty,ordered,ordered[Ite]} and constructors {0
            ,Cons,False,Nil,S,True}
    + Applied Processor:
        Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing}
    + Details:
        Signatures used:
        ----------------
          0 :: [] -(0)-> "A"(0)
          < :: ["A"(0) x "A"(0)] -(0)-> "A"(0)
          Cons :: ["A"(0) x "A"(15)] -(15)-> "A"(15)
          Cons :: ["A"(0) x "A"(3)] -(3)-> "A"(3)
          False :: [] -(0)-> "A"(0)
          False :: [] -(0)-> "A"(4)
          False :: [] -(0)-> "A"(8)
          Nil :: [] -(0)-> "A"(15)
          Nil :: [] -(0)-> "A"(3)
          S :: ["A"(0)] -(0)-> "A"(0)
          True :: [] -(0)-> "A"(0)
          True :: [] -(0)-> "A"(1)
          True :: [] -(0)-> "A"(6)
          True :: [] -(0)-> "A"(8)
          goal :: ["A"(11)] -(16)-> "A"(3)
          notEmpty :: ["A"(15)] -(9)-> "A"(1)
          ordered :: ["A"(3)] -(3)-> "A"(6)
          ordered[Ite] :: ["A"(0) x "A"(3)] -(0)-> "A"(6)
        
        
        Cost-free Signatures used:
        --------------------------
        
        
        
        Base Constructor Signatures used:
        ---------------------------------
          "0_A" :: [] -(0)-> "A"(1)
          "Cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1)
          "False_A" :: [] -(0)-> "A"(1)
          "Nil_A" :: [] -(0)-> "A"(1)
          "S_A" :: ["A"(0)] -(0)-> "A"(1)
          "True_A" :: [] -(0)-> "A"(1)
        

WORST_CASE(?,O(n^1))

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