/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(),l),nil()) -> l
    app'(app'(app(),app'(app'(cons(),x),l)),k) -> app'(app'(cons(),x),app'(app'(app(),l),k))
    app'(app'(app(),nil()),k) -> k
    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'(cons(),x),app'(app'(filter(),f),xs))
    app'(app'(filter(),f),app'(app'(cons(),x),xs)) -> app'(app'(app'(app'(filter2(),app'(f,x)),f),x),xs)
    app'(app'(filter(),f),nil()) -> nil()
    app'(app'(map(),f),app'(app'(cons(),x),xs)) -> app'(app'(cons(),app'(f,x)),app'(app'(map(),f),xs))
    app'(app'(map(),f),nil()) -> nil()
    app'(app'(minus(),x),0()) -> x
    app'(app'(minus(),app'(app'(minus(),x),y)),z) -> app'(app'(minus(),x),app'(app'(plus(),y),z))
    app'(app'(minus(),app'(s(),x)),app'(s(),y)) -> app'(app'(minus(),x),y)
    app'(app'(plus(),0()),y) -> y
    app'(app'(plus(),app'(s(),x)),y) -> app'(s(),app'(app'(plus(),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'(sum(),app'(app'(app(),l),app'(app'(cons(),x),app'(app'(cons(),y),k)))) -> app'(sum()
                                                                                       ,app'(app'(app(),l)
                                                                                            ,app'(sum()
                                                                                                 ,app'(app'(cons(),x)
                                                                                                      ,app'(app'(cons()
                                                                                                                ,y)
                                                                                                           ,k)))))
    app'(sum(),app'(app'(cons(),x),app'(app'(cons(),y),l))) -> app'(sum()
                                                                   ,app'(app'(cons(),app'(app'(plus(),x),y)),l))
    app'(sum(),app'(app'(cons(),x),nil())) -> app'(app'(cons(),x),nil())
- Signature:
    {app'/2} / {0/0,app/0,cons/0,false/0,filter/0,filter2/0,map/0,minus/0,nil/0,plus/0,quot/0,s/0,sum/0,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,app,app',cons,false,filter,filter2,map,minus,nil,plus
    ,quot,s,sum,true}
The problem is still open.