/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:
    div(x,y,z) -> if(ge(y,s(0())),ge(x,y),x,y,z)
    ge(x,0()) -> true()
    ge(0(),s(y)) -> false()
    ge(s(x),s(y)) -> ge(x,y)
    id_inc(x) -> x
    id_inc(x) -> s(x)
    if(false(),b,x,y,z) -> div_by_zero()
    if(true(),false(),x,y,z) -> z
    if(true(),true(),x,y,z) -> div(minus(x,y),y,id_inc(z))
    minus(x,0()) -> x
    minus(0(),y) -> 0()
    minus(s(x),s(y)) -> minus(x,y)
    quot(x,y) -> div(x,y,0())
- Signature:
    {div/3,ge/2,id_inc/1,if/5,minus/2,quot/2} / {0/0,div_by_zero/0,false/0,s/1,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,div,div_by_zero,false,ge,id_inc,if,minus,quot,s,true}
The problem is still open.