/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:
    head(cons(x,xs)) -> x
    if(false(),false(),y,xs,ys,x) -> sumList(ys,x)
    if(false(),true(),y,xs,ys,x) -> sumList(xs,y)
    if(true(),b,y,xs,ys,x) -> y
    inc(0()) -> s(0())
    inc(s(x)) -> s(inc(x))
    isEmpty(cons(x,xs)) -> false()
    isEmpty(nil()) -> true()
    isZero(0()) -> true()
    isZero(s(x)) -> false()
    p(0()) -> 0()
    p(s(0())) -> 0()
    p(s(s(x))) -> s(p(s(x)))
    sum(xs) -> sumList(xs,0())
    sumList(xs,y) -> if(isEmpty(xs),isZero(head(xs)),y,tail(xs),cons(p(head(xs)),tail(xs)),inc(y))
    tail(cons(x,xs)) -> xs
    tail(nil()) -> nil()
- Signature:
    {head/1,if/6,inc/1,isEmpty/1,isZero/1,p/1,sum/1,sumList/2,tail/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,cons,false,head,if,inc,isEmpty,isZero,nil,p,s,sum
    ,sumList,tail,true}
The problem is still open.