/export/starexec/sandbox/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE EmptyProcessor - Strict TRS: app(app(app(app(f(),0()),y),0()),u) -> true() app(app(app(app(f(),0()),y),app(s(),z)),u) -> false() app(app(app(app(f(),app(s(),x)),0()),z),u) -> app(app(app(app(f(),x),u),app(app(minus(),z),app(s(),x))),u) app(app(app(app(f(),app(s(),x)),app(s(),y)),z),u) -> app(app(app(if(),app(app(le(),x),y)) ,app(app(app(app(f(),app(s(),x)),app(app(minus(),y),x)) ,z) ,u)) ,app(app(app(app(f(),x),u),z),u)) app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),xs) app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) app(app(filter(),fun),nil()) -> nil() app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) app(app(map(),fun),nil()) -> nil() app(perfectp(),0()) -> false() app(perfectp(),app(s(),x)) -> app(app(app(app(f(),x),app(s(),0())),app(s(),x)),app(s(),x)) - Signature: {app/2} / {0/0,cons/0,f/0,false/0,filter/0,filter2/0,if/0,le/0,map/0,minus/0,nil/0,perfectp/0,s/0,true/0} - Obligation: innermost derivational complexity wrt. signature {0,app,cons,f,false,filter,filter2,if,le,map,minus,nil ,perfectp,s,true} The problem is still open.