Runti Compl Inner Rewri 22807 pair #381904292

details

property	value
status	timeout (cpu)
benchmark	factorial2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
space	AProVE_06

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	294.303478956 seconds
cpu usage	1215.66469018
max memory	3.625975808E9

stage attributes

unavailable

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:
            facIter(x,y) -> if(isZero(x),minus(x,s(0())),y,times(y,x))
            factorial(x) -> facIter(x,s(0()))
            if(false(),x,y,z) -> facIter(x,z)
            if(true(),x,y,z) -> y
            isZero(0()) -> true()
            isZero(s(x)) -> false()
            minus(x,0()) -> x
            minus(x,s(y)) -> p(minus(x,y))
            minus(0(),x) -> 0()
            p(0()) -> 0()
            p(s(x)) -> x
            plus(0(),x) -> x
            plus(s(x),y) -> s(plus(x,y))
            times(0(),y) -> 0()
            times(s(x),y) -> plus(y,times(x,y))
        - Signature:
            {facIter/2,factorial/1,if/4,isZero/1,minus/2,p/1,plus/2,times/2} / {0/0,false/0,s/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {facIter,factorial,if,isZero,minus,p,plus
            ,times} and constructors {0,false,s,true}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            facIter(x,y) -> if(isZero(x),minus(x,s(0())),y,times(y,x))
            factorial(x) -> facIter(x,s(0()))
            if(false(),x,y,z) -> facIter(x,z)
            if(true(),x,y,z) -> y
            isZero(0()) -> true()
            isZero(s(x)) -> false()
            minus(x,0()) -> x
            minus(x,s(y)) -> p(minus(x,y))
            minus(0(),x) -> 0()
            p(0()) -> 0()
            p(s(x)) -> x
            plus(0(),x) -> x
            plus(s(x),y) -> s(plus(x,y))
            times(0(),y) -> 0()
            times(s(x),y) -> plus(y,times(x,y))
        - Signature:
            {facIter/2,factorial/1,if/4,isZero/1,minus/2,p/1,plus/2,times/2} / {0/0,false/0,s/1,true/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {facIter,factorial,if,isZero,minus,p,plus
            ,times} and constructors {0,false,s,true}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          minus(x,y){y -> s(y)} =
            minus(x,s(y)) ->^+ p(minus(x,y))
              = C[minus(x,y) = minus(x,y){}]

WORST_CASE(Omega(n^1),?)

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