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


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MAYBE
EmptyProcessor
- Strict TRS:
    app'(app'(app(),app'(app'(add(),n),x)),y) -> app'(app'(add(),n),app'(app'(app(),x),y))
    app'(app'(app(),nil()),y) -> y
    app'(app'(app'(app'(filter2(),false()),f),x),xs) -> app'(app'(filter(),f),xs)
    app'(app'(app'(app'(filter2(),true()),f),x),xs) -> app'(app'(add(),x),app'(app'(filter(),f),xs))
    app'(app'(app'(if_high(),false()),n),app'(app'(add(),m),x)) -> app'(app'(add(),m),app'(app'(high(),n),x))
    app'(app'(app'(if_high(),true()),n),app'(app'(add(),m),x)) -> app'(app'(high(),n),x)
    app'(app'(app'(if_low(),false()),n),app'(app'(add(),m),x)) -> app'(app'(low(),n),x)
    app'(app'(app'(if_low(),true()),n),app'(app'(add(),m),x)) -> app'(app'(add(),m),app'(app'(low(),n),x))
    app'(app'(filter(),f),app'(app'(add(),x),xs)) -> app'(app'(app'(app'(filter2(),app'(f,x)),f),x),xs)
    app'(app'(filter(),f),nil()) -> nil()
    app'(app'(high(),n),app'(app'(add(),m),x)) -> app'(app'(app'(if_high(),app'(app'(le(),m),n)),n)
                                                      ,app'(app'(add(),m),x))
    app'(app'(high(),n),nil()) -> nil()
    app'(app'(le(),0()),y) -> true()
    app'(app'(le(),app'(s(),x)),0()) -> false()
    app'(app'(le(),app'(s(),x)),app'(s(),y)) -> app'(app'(le(),x),y)
    app'(app'(low(),n),app'(app'(add(),m),x)) -> app'(app'(app'(if_low(),app'(app'(le(),m),n)),n)
                                                     ,app'(app'(add(),m),x))
    app'(app'(low(),n),nil()) -> nil()
    app'(app'(map(),f),app'(app'(add(),x),xs)) -> app'(app'(add(),app'(f,x)),app'(app'(map(),f),xs))
    app'(app'(map(),f),nil()) -> nil()
    app'(app'(minus(),x),0()) -> x
    app'(app'(minus(),app'(s(),x)),app'(s(),y)) -> app'(app'(minus(),x),y)
    app'(app'(quot(),0()),app'(s(),y)) -> 0()
    app'(app'(quot(),app'(s(),x)),app'(s(),y)) -> app'(s()
                                                      ,app'(app'(quot(),app'(app'(minus(),x),y)),app'(s(),y)))
    app'(quicksort(),app'(app'(add(),n),x)) -> app'(app'(app(),app'(quicksort(),app'(app'(low(),n),x)))
                                                   ,app'(app'(add(),n),app'(quicksort(),app'(app'(high(),n),x))))
    app'(quicksort(),nil()) -> nil()
- Signature:
    {app'/2} / {0/0,add/0,app/0,false/0,filter/0,filter2/0,high/0,if_high/0,if_low/0,le/0,low/0,map/0,minus/0
    ,nil/0,quicksort/0,quot/0,s/0,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,add,app,app',false,filter,filter2,high,if_high,if_low,le
    ,low,map,minus,nil,quicksort,quot,s,true}
The problem is still open.