/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: eq(0(),0()) -> true() eq(0(),s(m)) -> false() eq(s(n),0()) -> false() eq(s(n),s(m)) -> eq(n,m) if_min(false(),cons(n,cons(m,x))) -> min(cons(m,x)) if_min(true(),cons(n,cons(m,x))) -> min(cons(n,x)) if_replace(false(),n,m,cons(k,x)) -> cons(k,replace(n,m,x)) if_replace(true(),n,m,cons(k,x)) -> cons(m,x) le(0(),m) -> true() le(s(n),0()) -> false() le(s(n),s(m)) -> le(n,m) min(cons(n,cons(m,x))) -> if_min(le(n,m),cons(n,cons(m,x))) min(cons(0(),nil())) -> 0() min(cons(s(n),nil())) -> s(n) replace(n,m,cons(k,x)) -> if_replace(eq(n,k),n,m,cons(k,x)) replace(n,m,nil()) -> nil() sort(cons(n,x)) -> cons(min(cons(n,x)),sort(replace(min(cons(n,x)),n,x))) sort(nil()) -> nil() - Signature: {eq/2,if_min/2,if_replace/4,le/2,min/1,replace/3,sort/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0} - Obligation: innermost derivational complexity wrt. signature {0,cons,eq,false,if_min,if_replace,le,min,nil,replace,s ,sort,true} The problem is still open.