MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { l5(x, y, res, tmp, mtmp, True()) -> 0() , l5(x, y, res, tmp, mtmp, False()) -> l7(x, y, res, tmp, mtmp, False()) , l1(x, y, res, tmp, mtmp, t) -> l2(x, y, res, tmp, mtmp, False()) , l13(x, y, res, tmp, True(), t) -> l16(x, y, gcd(S(0()), y), tmp, True(), t) , l13(x, y, res, tmp, False(), t) -> l16(x, y, gcd(0(), y), tmp, False(), t) , help1(S(S(x))) -> True() , help1(S(0())) -> False() , help1(0()) -> False() , gcd(x, y) -> l1(x, y, 0(), False(), False(), False()) , e7(a, b, res, t) -> False() , m3(S(S(x)), b, res, t) -> True() , m3(S(0()), b, res, t) -> False() , m3(0(), b, res, t) -> False() , e2(a, b, res, True()) -> e3(a, b, res, True()) , e2(a, b, res, False()) -> False() , e3(a, b, res, t) -> e4(a, b, res, <(b, a)) , e6(a, b, res, t) -> False() , l14(x, y, res, tmp, mtmp, t) -> l15(x, y, res, tmp, monus(x, y), t) , l9(res, y, res', tmp, mtmp, t) -> res , bool2Nat(True()) -> S(0()) , bool2Nat(False()) -> 0() , l6(x, y, res, tmp, mtmp, t) -> 0() , l8(res, y, res', True(), mtmp, t) -> res , l8(x, y, res, False(), mtmp, t) -> l10(x, y, res, False(), mtmp, t) , m5(a, b, res, t) -> res , e1(a, b, res, t) -> e2(a, b, res, <(a, b)) , m4(S(x'), S(x), res, t) -> m5(S(x'), S(x), monus(x', x), t) , equal0(a, b) -> e1(a, b, False(), False()) , l12(x, y, res, tmp, mtmp, t) -> l13(x, y, res, tmp, monus(x, y), t) , e8(a, b, res, t) -> res , l7(x, y, res, tmp, mtmp, t) -> l8(x, y, res, equal0(x, y), mtmp, t) , l11(x, y, res, tmp, mtmp, True()) -> l12(x, y, res, tmp, mtmp, True()) , l11(x, y, res, tmp, mtmp, False()) -> l14(x, y, res, tmp, mtmp, False()) , e5(a, b, res, t) -> True() , l3(x, y, res, tmp, mtmp, t) -> l4(x, y, 0(), tmp, mtmp, t) , m2(a, b, res, False()) -> m4(a, b, res, False()) , m2(S(S(x)), b, res, True()) -> True() , m2(S(0()), b, res, True()) -> False() , m2(0(), b, res, True()) -> False() , monus(a, b) -> m1(a, b, False(), False()) , l2(x, y, res, tmp, mtmp, True()) -> res , l2(x, y, res, tmp, mtmp, False()) -> l3(x, y, res, tmp, mtmp, False()) , l4(x', x, res, tmp, mtmp, t) -> l5(x', x, res, tmp, mtmp, False()) , l10(x, y, res, tmp, mtmp, t) -> l11(x, y, res, tmp, mtmp, <(x, y)) , l15(x, y, res, tmp, True(), t) -> l16(x, y, gcd(y, S(0())), tmp, True(), t) , l15(x, y, res, tmp, False(), t) -> l16(x, y, gcd(y, 0()), tmp, False(), t) , l16(x, y, res, tmp, mtmp, t) -> res , m1(a, x, res, t) -> m2(a, x, res, False()) , e4(a, b, res, True()) -> True() , e4(a, b, res, False()) -> False() } Weak Trs: { <(x, 0()) -> False() , <(S(x), S(y)) -> <(x, y) , <(0(), S(y)) -> True() } 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..