MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { and(true(), y) -> y , and(false(), y) -> false() , eq(nil(), nil()) -> true() , eq(nil(), cons(t, l)) -> false() , eq(cons(t, l), nil()) -> false() , eq(cons(t, l), cons(t', l')) -> and(eq(t, t'), eq(l, l')) , eq(var(l), var(l')) -> eq(l, l') , eq(var(l), apply(t, s)) -> false() , eq(var(l), lambda(x, t)) -> false() , eq(apply(t, s), var(l)) -> false() , eq(apply(t, s), apply(t', s')) -> and(eq(t, t'), eq(s, s')) , eq(apply(t, s), lambda(x, t)) -> false() , eq(lambda(x, t), var(l)) -> false() , eq(lambda(x, t), apply(t, s)) -> false() , eq(lambda(x, t), lambda(x', t')) -> and(eq(x, x'), eq(t, t')) , if(true(), var(k), var(l')) -> var(k) , if(false(), var(k), var(l')) -> var(l') , ren(x, y, apply(t, s)) -> apply(ren(x, y, t), ren(x, y, s)) , ren(x, y, lambda(z, t)) -> lambda(var(cons(x, cons(y, cons(lambda(z, t), nil())))), ren(x, y, ren(z, var(cons(x, cons(y, cons(lambda(z, t), nil())))), t))) , ren(var(l), var(k), var(l')) -> if(eq(l, l'), var(k), var(l')) } 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) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'bsearch-popstar (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..