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


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MAYBE
EmptyProcessor
- Strict TRS:
    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(app(if_gcd(),false()),app(s(),x)),app(s(),y)) -> app(app(gcd(),app(app(minus(),y),x)),app(s(),x))
    app(app(app(if_gcd(),true()),app(s(),x)),app(s(),y)) -> app(app(gcd(),app(app(minus(),x),y)),app(s(),y))
    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(gcd(),0()),y) -> y
    app(app(gcd(),app(s(),x)),0()) -> app(s(),x)
    app(app(gcd(),app(s(),x)),app(s(),y)) -> app(app(app(if_gcd(),app(app(le(),y),x)),app(s(),x)),app(s(),y))
    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(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(),x),app(s(),y)) -> app(pred(),app(app(minus(),x),y))
    app(pred(),app(s(),x)) -> x
- Signature:
    {app/2} / {0/0,cons/0,false/0,filter/0,filter2/0,gcd/0,if_gcd/0,le/0,map/0,minus/0,nil/0,pred/0,s/0,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,app,cons,false,filter,filter2,gcd,if_gcd,le,map,minus
    ,nil,pred,s,true}
The problem is still open.