MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__a() -> a__c() , a__a() -> a__d() , a__a() -> a() , a__c() -> e() , a__c() -> l() , a__c() -> c() , a__b() -> a__c() , a__b() -> a__d() , a__b() -> b() , a__k() -> l() , a__k() -> m() , a__k() -> k() , a__d() -> m() , a__d() -> d() , a__A() -> a__h(a__f(a__a()), a__f(a__b())) , a__A() -> A() , a__h(X, X) -> a__g(mark(X), mark(X), a__f(a__k())) , a__h(X1, X2) -> h(X1, X2) , a__f(X) -> a__z(mark(X), X) , a__f(X) -> f(X) , a__g(X1, X2, X3) -> g(X1, X2, X3) , a__g(d(), X, X) -> a__A() , mark(e()) -> e() , mark(l()) -> l() , mark(m()) -> m() , mark(d()) -> a__d() , mark(A()) -> a__A() , mark(a()) -> a__a() , mark(b()) -> a__b() , mark(c()) -> a__c() , mark(k()) -> a__k() , mark(z(X1, X2)) -> a__z(mark(X1), X2) , mark(f(X)) -> a__f(mark(X)) , mark(h(X1, X2)) -> a__h(mark(X1), mark(X2)) , mark(g(X1, X2, X3)) -> a__g(mark(X1), mark(X2), mark(X3)) , a__z(X1, X2) -> z(X1, X2) , a__z(e(), X) -> mark(X) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..