Runti Compl Inner Rewri 22807 pair #381904656

details

property	value
status	timeout (cpu)
benchmark	Ex3_3_25_Bor03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
space	Strategy_removed_CSR_05

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	294.400848866 seconds
cpu usage	1222.71748667
max memory	3.660754944E9

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:
            app(cons(X,XS),YS) -> cons(X,app(XS,YS))
            app(nil(),YS) -> YS
            from(X) -> cons(X,from(s(X)))
            prefix(L) -> cons(nil(),zWadr(L,prefix(L)))
            zWadr(XS,nil()) -> nil()
            zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,nil())),zWadr(XS,YS))
            zWadr(nil(),YS) -> nil()
        - Signature:
            {app/2,from/1,prefix/1,zWadr/2} / {cons/2,nil/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {app,from,prefix,zWadr} and constructors {cons,nil,s}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            app(cons(X,XS),YS) -> cons(X,app(XS,YS))
            app(nil(),YS) -> YS
            from(X) -> cons(X,from(s(X)))
            prefix(L) -> cons(nil(),zWadr(L,prefix(L)))
            zWadr(XS,nil()) -> nil()
            zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,nil())),zWadr(XS,YS))
            zWadr(nil(),YS) -> nil()
        - Signature:
            {app/2,from/1,prefix/1,zWadr/2} / {cons/2,nil/0,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {app,from,prefix,zWadr} and constructors {cons,nil,s}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          app(y,z){y -> cons(x,y)} =
            app(cons(x,y),z) ->^+ cons(x,app(y,z))
              = C[app(y,z) = app(y,z){}]

WORST_CASE(Omega(n^1),?)

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