MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { O(0()) -> 0() , +(x, 0()) -> x , +(x, +(y, z)) -> +(+(x, y), z) , +(O(x), O(y)) -> O(+(x, y)) , +(O(x), I(y)) -> I(+(x, y)) , +(0(), x) -> x , +(I(x), O(y)) -> I(+(x, y)) , +(I(x), I(y)) -> O(+(+(x, y), I(0()))) , -(x, 0()) -> x , -(O(x), O(y)) -> O(-(x, y)) , -(O(x), I(y)) -> I(-(-(x, y), I(1()))) , -(0(), x) -> 0() , -(I(x), O(y)) -> I(-(x, y)) , -(I(x), I(y)) -> O(-(x, y)) , not(true()) -> false() , not(false()) -> true() , and(x, true()) -> x , and(x, false()) -> false() , if(true(), x, y) -> x , if(false(), x, y) -> y , ge(x, 0()) -> true() , ge(O(x), O(y)) -> ge(x, y) , ge(O(x), I(y)) -> not(ge(y, x)) , ge(0(), O(x)) -> ge(0(), x) , ge(0(), I(x)) -> false() , ge(I(x), O(y)) -> ge(x, y) , ge(I(x), I(y)) -> ge(x, y) , Log'(O(x)) -> if(ge(x, I(0())), +(Log'(x), I(0())), 0()) , Log'(0()) -> 0() , Log'(I(x)) -> +(Log'(x), I(0())) , Log(x) -> -(Log'(x), I(0())) , Val(L(x)) -> x , Val(N(x, l(), r())) -> x , Min(L(x)) -> x , Min(N(x, l(), r())) -> Min(l()) , Max(L(x)) -> x , Max(N(x, l(), r())) -> Max(r()) , BS(L(x)) -> true() , BS(N(x, l(), r())) -> and(and(ge(x, Max(l())), ge(Min(r()), x)), and(BS(l()), BS(r()))) , Size(L(x)) -> I(0()) , Size(N(x, l(), r())) -> +(+(Size(l()), Size(r())), I(1())) , WB(L(x)) -> true() , WB(N(x, l(), r())) -> and(if(ge(Size(l()), Size(r())), ge(I(0()), -(Size(l()), Size(r()))), ge(I(0()), -(Size(r()), Size(l())))), and(WB(l()), WB(r()))) } 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..