MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { breadth(@breadth@1, @breadth@2) -> breadth#1(dequeue(@breadth@1, @breadth@2)) , breadth#1(tuple#2(@queue', @elem)) -> breadth#2(@elem, @queue') , dequeue(@dequeue@1, @dequeue@2) -> dequeue#1(tuple#2(@dequeue@1, @dequeue@2)) , breadth#2(::(@z, @_@9), @queue') -> breadth#3(breadth#4(@z), @queue') , breadth#2(nil(), @queue') -> nil() , breadth#3(tuple#2(@x, @ys), @queue') -> ::(@x, breadth#5(enqueues(@ys, @queue'))) , breadth#4(tuple#4(@children@3, @children@4, @children@5, @children@6)) -> children(@children@3, @children@4, @children@5, @children@6) , breadth#5(tuple#2(@breadth@7, @breadth@8)) -> breadth(@breadth@7, @breadth@8) , enqueues(@l, @queue) -> enqueues#1(@l, @queue) , children(@a, @b, @l1, @l2) -> tuple#2(tuple#2(@a, @b), children#1(@l1, @b, @l2)) , children#1(::(@x, @xs), @b, @l2) -> children#3(@l2, @b, @x, @xs) , children#1(nil(), @b, @l2) -> children#2(@l2, @b) , children#3(::(@y, @ys), @b, @x, @xs) -> ::(tuple#4(@x, @b, nil(), @xs), ::(tuple#4(@x, @y, @xs, @ys), nil())) , children#3(nil(), @b, @x, @xs) -> nil() , children#2(::(@y, @ys), @b) -> ::(tuple#4(@y, @b, nil(), @ys), nil()) , children#2(nil(), @b) -> nil() , copyover(@copyover@1, @copyover@2) -> copyover#1(tuple#2(@copyover@1, @copyover@2)) , copyover#1(tuple#2(@inq, @outq)) -> copyover#2(@inq, @outq) , copyover#2(::(@x, @xs), @outq) -> copyover(@xs, ::(@x, @outq)) , copyover#2(nil(), @outq) -> tuple#2(nil(), @outq) , dequeue#1(tuple#2(@inq, @outq)) -> dequeue#2(@outq, @inq) , dequeue#2(::(@y, @ys), @inq) -> tuple#2(tuple#2(@inq, @ys), ::(@y, nil())) , dequeue#2(nil(), @inq) -> dequeue#3(@inq) , dequeue#3(::(@x, @xs)) -> dequeue#4(copyover(::(@x, @xs), nil())) , dequeue#3(nil()) -> tuple#2(tuple#2(nil(), nil()), nil()) , dequeue#4(tuple#2(@dequeue@3, @dequeue@4)) -> dequeue(@dequeue@3, @dequeue@4) , empty(@x) -> tuple#2(nil(), nil()) , enqueue(@x, @queue) -> enqueue#1(@queue, @x) , enqueue#1(tuple#2(@inq, @outq), @x) -> tuple#2(::(@x, @inq), @outq) , enqueues#1(::(@x, @xs), @queue) -> enqueues(@xs, enqueue(@x, @queue)) , enqueues#1(nil(), @queue) -> @queue , startBreadth(@xs) -> startBreadth#1(@xs) , startBreadth#1(::(@x, @xs)) -> startBreadth#2(enqueue(tuple#4(@x, @x, @xs, @xs), empty(#unit()))) , startBreadth#1(nil()) -> nil() , startBreadth#2(tuple#2(@breadth@1, @breadth@2)) -> breadth(@breadth@1, @breadth@2) } 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..