MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(app(X1, X2)) -> app(X1, active(X2)) , active(app(X1, X2)) -> app(active(X1), X2) , active(app(nil(), YS)) -> mark(YS) , active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) , active(cons(X1, X2)) -> cons(active(X1), X2) , active(from(X)) -> mark(cons(X, from(s(X)))) , active(from(X)) -> from(active(X)) , active(s(X)) -> s(active(X)) , active(zWadr(X1, X2)) -> zWadr(X1, active(X2)) , active(zWadr(X1, X2)) -> zWadr(active(X1), X2) , active(zWadr(XS, nil())) -> mark(nil()) , active(zWadr(nil(), YS)) -> mark(nil()) , active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil())), zWadr(XS, YS))) , active(prefix(L)) -> mark(cons(nil(), zWadr(L, prefix(L)))) , active(prefix(X)) -> prefix(active(X)) , app(X1, mark(X2)) -> mark(app(X1, X2)) , app(mark(X1), X2) -> mark(app(X1, X2)) , app(ok(X1), ok(X2)) -> ok(app(X1, X2)) , cons(mark(X1), X2) -> mark(cons(X1, X2)) , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) , from(mark(X)) -> mark(from(X)) , from(ok(X)) -> ok(from(X)) , s(mark(X)) -> mark(s(X)) , s(ok(X)) -> ok(s(X)) , zWadr(X1, mark(X2)) -> mark(zWadr(X1, X2)) , zWadr(mark(X1), X2) -> mark(zWadr(X1, X2)) , zWadr(ok(X1), ok(X2)) -> ok(zWadr(X1, X2)) , prefix(mark(X)) -> mark(prefix(X)) , prefix(ok(X)) -> ok(prefix(X)) , proper(app(X1, X2)) -> app(proper(X1), proper(X2)) , proper(nil()) -> ok(nil()) , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) , proper(from(X)) -> from(proper(X)) , proper(s(X)) -> s(proper(X)) , proper(zWadr(X1, X2)) -> zWadr(proper(X1), proper(X2)) , proper(prefix(X)) -> prefix(proper(X)) , 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) '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..