/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE

Problem:
 qsort(nil()) -> nil()
 qsort(cons(x,xs)) ->
 append(qsort(filterlow(last(cons(x,xs)),cons(x,xs))),cons(last(cons(x,xs)),
                                                           qsort(filterhigh
                                                                 (last(cons(x,xs)),cons(x,xs)))))
 filterlow(n,nil()) -> nil()
 filterlow(n,cons(x,xs)) -> if1(ge(n,x),n,x,xs)
 if1(true(),n,x,xs) -> filterlow(n,xs)
 if1(false(),n,x,xs) -> cons(x,filterlow(n,xs))
 filterhigh(n,nil()) -> nil()
 filterhigh(n,cons(x,xs)) -> if2(ge(x,n),n,x,xs)
 if2(true(),n,x,xs) -> filterhigh(n,xs)
 if2(false(),n,x,xs) -> cons(x,filterhigh(n,xs))
 ge(x,0()) -> true()
 ge(0(),s(x)) -> false()
 ge(s(x),s(y)) -> ge(x,y)
 append(nil(),ys()) -> ys()
 append(cons(x,xs),ys()) -> cons(x,append(xs,ys()))
 last(nil()) -> 0()
 last(cons(x,nil())) -> x
 last(cons(x,cons(y,xs))) -> last(cons(y,xs))

Proof:
 Open