MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { p(s(N)) -> N , +(N, 0()) -> N , +(s(N), s(M)) -> s(s(+(N, M))) , *(N, 0()) -> 0() , *(s(N), s(M)) -> s(+(N, +(M, *(N, M)))) , gt(NzN, 0()) -> u_4(is_NzNat(NzN)) , gt(s(N), s(M)) -> gt(N, M) , gt(0(), M) -> False() , u_4(True()) -> True() , is_NzNat(s(N)) -> True() , is_NzNat(0()) -> False() , lt(N, M) -> gt(M, N) , d(s(N), s(M)) -> d(N, M) , d(0(), N) -> N , quot(NzM, NzM) -> u_01(is_NzNat(NzM)) , quot(N, NzM) -> u_11(is_NzNat(NzM), N, NzM) , quot(N, NzM) -> u_21(is_NzNat(NzM), NzM, N) , u_11(True(), N, NzM) -> u_1(gt(N, NzM), N, NzM) , u_1(True(), N, NzM) -> s(quot(d(N, NzM), NzM)) , u_01(True()) -> s(0()) , u_21(True(), NzM, N) -> u_2(gt(NzM, N)) , u_2(True()) -> 0() , gcd(NzM, NzM) -> u_02(is_NzNat(NzM), NzM) , gcd(NzN, NzM) -> u_31(is_NzNat(NzN), is_NzNat(NzM), NzN, NzM) , gcd(0(), N) -> 0() , u_02(True(), NzM) -> NzM , u_31(True(), True(), NzN, NzM) -> u_3(gt(NzN, NzM), NzN, NzM) , u_3(True(), NzN, NzM) -> gcd(d(NzN, NzM), NzM) } 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 perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..