MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { 0(#()) -> #() , +(x, #()) -> x , +(x, +(y, z)) -> +(+(x, y), z) , +(0(x), 0(y)) -> 0(+(x, y)) , +(0(x), 1(y)) -> 1(+(x, y)) , +(#(), x) -> x , +(1(x), 0(y)) -> 1(+(x, y)) , +(1(x), 1(y)) -> 0(+(+(x, y), 1(#()))) , -(x, #()) -> x , -(0(x), 0(y)) -> 0(-(x, y)) , -(0(x), 1(y)) -> 1(-(-(x, y), 1(#()))) , -(#(), x) -> #() , -(1(x), 0(y)) -> 1(-(x, y)) , -(1(x), 1(y)) -> 0(-(x, y)) , not(false()) -> true() , not(true()) -> false() , and(x, false()) -> false() , and(x, true()) -> x , if(false(), x, y) -> y , if(true(), x, y) -> x , ge(x, #()) -> true() , ge(0(x), 0(y)) -> ge(x, y) , ge(0(x), 1(y)) -> not(ge(y, x)) , ge(#(), 0(x)) -> ge(#(), x) , ge(#(), 1(x)) -> false() , ge(1(x), 0(y)) -> ge(x, y) , ge(1(x), 1(y)) -> ge(x, y) , val(l(x)) -> x , val(n(x, y, z)) -> x , min(l(x)) -> x , min(n(x, y, z)) -> min(y) , max(l(x)) -> x , max(n(x, y, z)) -> max(z) , bs(l(x)) -> true() , bs(n(x, y, z)) -> and(and(ge(x, max(y)), ge(min(z), x)), and(bs(y), bs(z))) , size(l(x)) -> 1(#()) , size(n(x, y, z)) -> +(+(size(x), size(y)), 1(#())) , wb(l(x)) -> true() , wb(n(x, y, z)) -> and(if(ge(size(y), size(z)), ge(1(#()), -(size(y), size(z))), ge(1(#()), -(size(z), size(y)))), and(wb(y), wb(z))) } 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..