MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { reach(u, v, edges) -> reach[Ite](member(E(u, v), edges), u, v, edges) , via(u, v, Nil(), edges) -> Nil() , via(u, v, Cons(E(x, y), xs), edges) -> via[Ite][False][Ite](!EQ(u, x), u, v, Cons(E(x, y), xs), edges) , member(x, Nil()) -> False() , member(x', Cons(x, xs)) -> member[Ite][False][Ite](eqEdge(x', x), x', Cons(x, xs)) , getNodeFromEdge(S(S(x')), E(x, y)) -> y , getNodeFromEdge(S(0()), E(x, y)) -> x , getNodeFromEdge(0(), E(x, y)) -> x , notEmpty(Nil()) -> False() , notEmpty(Cons(x, xs)) -> True() , goal(u, v, edges) -> reach(u, v, edges) , eqEdge(E(e11, e12), E(e21, e22)) -> eqEdge[Match][E][Match][E][Ite](and(!EQ(e11, e21), !EQ(e12, e22)), e21, e22, e11, e12) } Weak Trs: { via[Ite][False][Ite](True(), u, v, Cons(E(x, y), xs), edges) -> via[Ite][False][Ite][True][Let](u, v, Cons(E(x, y), xs), edges, reach(y, v, edges)) , via[Ite][False][Ite](False(), u, v, Cons(x, xs), edges) -> via(u, v, xs, edges) , and(True(), True()) -> True() , and(True(), False()) -> False() , and(False(), True()) -> False() , and(False(), False()) -> False() , !EQ(S(x), S(y)) -> !EQ(x, y) , !EQ(S(x), 0()) -> False() , !EQ(0(), S(y)) -> False() , !EQ(0(), 0()) -> True() , member[Ite][False][Ite](True(), x, xs) -> True() , member[Ite][False][Ite](False(), x', Cons(x, xs)) -> member(x', xs) , reach[Ite](True(), u, v, edges) -> Cons(E(u, v), Nil()) , reach[Ite](False(), u, v, edges) -> via(u, v, edges, edges) } 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..