MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { rec[x_0][1](f(x10), x7) -> rec[rpm_0][3](x10, f_0(rec[x_0](f(x10))), bot[0]()) , rec[rpm_0][3](Leaf(x3), f_0(rec[x_0](f(x2))), x1) -> P(rpm_3(f_0(rec[x_0](f(x2)))), rpm_4(x3)) , rec[rpm_0][3](Node(x4, x3), f_0(rec[x_0](f(x2))), x1) -> P(rpm_8(f_0(rec[x_0](f(x2))), x4, x3), rpm_9(f_0(rec[x_0](f(x2))), x4, x3)) , fst_cond[1](P(rpm_3(f_0(rec[x_0](f(x3)))), rpm_4(x2)), x1) -> Leaf(snd_cond[1](rec[x_0][1](f(x3), bot[10]()), bot[11]())) , fst_cond[1](P(rpm_8(f_0(rec[x_0](f(x7))), x6, x5), rpm_9(f_0(rec[x_0](f(x4))), x3, x2)), x1) -> Node(fst_cond[1](rec[rpm_0][3](x6, f_0(rec[x_0](f(x7))), bot[2]()), bot[3]()), fst_cond[1](rec[rpm_0][3](x5, f_0(rec[x_0](f(x7))), bot[4]()), bot[5]())) , snd_cond[1](P(rpm_3(f_0(rec[x_0](f(x3)))), rpm_4(x2)), x1) -> x2 , snd_cond[1](P(rpm_8(f_0(rec[x_0](f(x7))), x6, x5), rpm_9(f_0(rec[x_0](f(x4))), x3, x2)), x1) -> rec[min_0][2](snd_cond[1](rec[rpm_0][3](x3, f_0(rec[x_0](f(x4))), bot[6]()), bot[7]()), snd_cond[1](rec[rpm_0][3](x2, f_0(rec[x_0](f(x4))), bot[8]()), bot[9]())) , rec[min_0][2](0(), x82) -> 0() , rec[min_0][2](S(x90), 0()) -> 0() , rec[min_0][2](S(x10), S(x6)) -> S(rec[min_0][2](x10, x6)) , main(x3) -> fst_cond[1](rec[x_0][1](f(x3), bot[12]()), bot[13]()) } 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..