MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { rec[mapL_0][2](NilL()) -> NilL() , rec[mapL_0][2](ConsL(x2, x1)) -> ConsL(rec[dc_0][1](x2), rec[mapL_0][2](x1)) , rec[dc_0][1](Nil()) -> Nil() , rec[dc_0][1](Cons(x77, Nil())) -> Cons(x77, Nil()) , rec[dc_0][1](Cons(x3, Cons(x2, x1))) -> const_f[2](Cons(x3, Cons(x2, x1)), rec[mapL_0][2](ConsL(Cons(x3, rec[take_0][2](rec[halve_0][1](rec[length_0][1](x1)), Cons(x2, x1))), ConsL(rec[drop_0][2](rec[halve_0][1](rec[length_0][1](x1)), Cons(x2, x1)), NilL())))) , rec[length_0][1](Nil()) -> 0() , rec[length_0][1](Cons(x13, x17)) -> S(rec[length_0][1](x17)) , rec[halve_0][1](0()) -> 0() , rec[halve_0][1](S(0())) -> S(0()) , rec[halve_0][1](S(S(x17))) -> S(rec[halve_0][1](x17)) , rec[take_0][2](0(), x26) -> Nil() , rec[take_0][2](S(x14), Cons(x10, x6)) -> Cons(x10, rec[take_0][2](x14, x6)) , rec[take_0][2](S(0()), Nil()) -> Cons(Head_error_empty_list(), Nil()) , rec[drop_0][2](0(), x26) -> x26 , rec[drop_0][2](S(x14), Cons(x10, x6)) -> rec[drop_0][2](x14, x6) , rec[drop_0][2](S(0()), Nil()) -> Tail_error_empty_list() , const_f[2](Cons(x4, Cons(x5, x6)), ConsL(x3, ConsL(x2, x1))) -> rec[merge_0][2](x3, x2) , rec[merge_0][2](Nil(), x58) -> x58 , rec[merge_0][2](Cons(x66, x74), Nil()) -> Cons(x66, x74) , rec[merge_0][2](Cons(x18, x14), Cons(x10, x6)) -> merge_cond_2(rec[leq_0][2](x18, x10), Cons(x18, x14), Cons(x10, x6), x18, x14, x10, x6) , merge_cond_2(True(), Cons(x15, x17), Cons(x11, x13), x9, x7, x5, x3) -> Cons(x9, rec[merge_0][2](x7, Cons(x11, x13))) , merge_cond_2(False(), Cons(x15, x17), Cons(x11, x13), x9, x7, x5, x3) -> Cons(x5, rec[merge_0][2](Cons(x15, x17), x3)) , rec[leq_0][2](0(), x106) -> True() , rec[leq_0][2](S(x114), 0()) -> False() , rec[leq_0][2](S(x10), S(x6)) -> rec[leq_0][2](x10, x6) , main(x43) -> rec[dc_0][1](x43) } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'empty' failed due to the following reason: Empty strict component of the problem is NOT empty. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 60.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 30.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..