MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { -(x, 0()) -> x , -(s(x), s(y)) -> -(x, y) , p(s(x)) -> x , f(x, s(y)) -> f(p(-(x, s(y))), p(-(s(y), x))) , f(s(x), y) -> f(p(-(s(x), y)), p(-(y, s(x)))) } Obligation: runtime complexity Answer: MAYBE 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) '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. 3) '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 processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 2) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 3) 'Innermost Weak Dependency Pairs (timeout of 60 seconds)' failed due to the following reason: We add the following weak dependency pairs: Strict DPs: { -^#(x, 0()) -> c_1(x) , -^#(s(x), s(y)) -> c_2(-^#(x, y)) , p^#(s(x)) -> c_3(x) , f^#(x, s(y)) -> c_4(f^#(p(-(x, s(y))), p(-(s(y), x)))) , f^#(s(x), y) -> c_5(f^#(p(-(s(x), y)), p(-(y, s(x))))) } and mark the set of starting terms. We are left with following problem, upon which TcT provides the certificate MAYBE. Strict DPs: { -^#(x, 0()) -> c_1(x) , -^#(s(x), s(y)) -> c_2(-^#(x, y)) , p^#(s(x)) -> c_3(x) , f^#(x, s(y)) -> c_4(f^#(p(-(x, s(y))), p(-(s(y), x)))) , f^#(s(x), y) -> c_5(f^#(p(-(s(x), y)), p(-(y, s(x))))) } Strict Trs: { -(x, 0()) -> x , -(s(x), s(y)) -> -(x, y) , p(s(x)) -> x , f(x, s(y)) -> f(p(-(x, s(y))), p(-(s(y), x))) , f(s(x), y) -> f(p(-(s(x), y)), p(-(y, s(x)))) } Obligation: runtime complexity Answer: MAYBE Empty strict component of the problem is NOT empty. Arrrr..