MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: __(X1,mark(X2)) -> mark(__(X1,X2)) __(mark(X1),X2) -> mark(__(X1,X2)) __(ok(X1),ok(X2)) -> ok(__(X1,X2)) active(__(X,nil())) -> mark(X) active(__(X1,X2)) -> __(X1,active(X2)) active(__(X1,X2)) -> __(active(X1),X2) active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) active(__(nil(),X)) -> mark(X) active(and(X1,X2)) -> and(active(X1),X2) active(and(tt(),X)) -> mark(X) active(isList(V)) -> mark(isNeList(V)) active(isList(__(V1,V2))) -> mark(and(isList(V1),isList(V2))) active(isList(nil())) -> mark(tt()) active(isNeList(V)) -> mark(isQid(V)) active(isNeList(__(V1,V2))) -> mark(and(isList(V1),isNeList(V2))) active(isNeList(__(V1,V2))) -> mark(and(isNeList(V1),isList(V2))) active(isNePal(V)) -> mark(isQid(V)) active(isNePal(__(I,__(P,I)))) -> mark(and(isQid(I),isPal(P))) active(isPal(V)) -> mark(isNePal(V)) active(isPal(nil())) -> mark(tt()) active(isQid(a())) -> mark(tt()) active(isQid(e())) -> mark(tt()) active(isQid(i())) -> mark(tt()) active(isQid(o())) -> mark(tt()) active(isQid(u())) -> mark(tt()) and(mark(X1),X2) -> mark(and(X1,X2)) and(ok(X1),ok(X2)) -> ok(and(X1,X2)) isList(ok(X)) -> ok(isList(X)) isNeList(ok(X)) -> ok(isNeList(X)) isNePal(ok(X)) -> ok(isNePal(X)) isPal(ok(X)) -> ok(isPal(X)) isQid(ok(X)) -> ok(isQid(X)) proper(__(X1,X2)) -> __(proper(X1),proper(X2)) proper(a()) -> ok(a()) proper(and(X1,X2)) -> and(proper(X1),proper(X2)) proper(e()) -> ok(e()) proper(i()) -> ok(i()) proper(isList(X)) -> isList(proper(X)) proper(isNeList(X)) -> isNeList(proper(X)) proper(isNePal(X)) -> isNePal(proper(X)) proper(isPal(X)) -> isPal(proper(X)) proper(isQid(X)) -> isQid(proper(X)) proper(nil()) -> ok(nil()) proper(o()) -> ok(o()) proper(tt()) -> ok(tt()) proper(u()) -> ok(u()) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {__/2,active/1,and/2,isList/1,isNeList/1,isNePal/1,isPal/1,isQid/1,proper/1,top/1} / {a/0,e/0,i/0,mark/1 ,nil/0,o/0,ok/1,tt/0,u/0} - Obligation: innermost runtime complexity wrt. defined symbols {__,active,and,isList,isNeList,isNePal,isPal,isQid,proper ,top} and constructors {a,e,i,mark,nil,o,ok,tt,u} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: The input can not be schown compatible. MAYBE