MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(minus(0(), Y)) -> mark(0()) , active(minus(s(X), s(Y))) -> mark(minus(X, Y)) , active(s(X)) -> s(active(X)) , active(geq(X, 0())) -> mark(true()) , active(geq(0(), s(Y))) -> mark(false()) , active(geq(s(X), s(Y))) -> mark(geq(X, Y)) , active(div(X1, X2)) -> div(active(X1), X2) , active(div(0(), s(Y))) -> mark(0()) , active(div(s(X), s(Y))) -> mark(if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0())) , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) , active(if(true(), X, Y)) -> mark(X) , active(if(false(), X, Y)) -> mark(Y) , minus(ok(X1), ok(X2)) -> ok(minus(X1, X2)) , s(mark(X)) -> mark(s(X)) , s(ok(X)) -> ok(s(X)) , geq(ok(X1), ok(X2)) -> ok(geq(X1, X2)) , div(mark(X1), X2) -> mark(div(X1, X2)) , div(ok(X1), ok(X2)) -> ok(div(X1, X2)) , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) , proper(minus(X1, X2)) -> minus(proper(X1), proper(X2)) , proper(0()) -> ok(0()) , proper(s(X)) -> s(proper(X)) , proper(geq(X1, X2)) -> geq(proper(X1), proper(X2)) , proper(true()) -> ok(true()) , proper(false()) -> ok(false()) , proper(div(X1, X2)) -> div(proper(X1), proper(X2)) , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) , top(mark(X)) -> top(proper(X)) , top(ok(X)) -> top(active(X)) } 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 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..