MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3)) U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3)) U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3)) U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3)) active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3) active(U11(tt(),M,N)) -> mark(U12(tt(),M,N)) active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3) active(U12(tt(),M,N)) -> mark(s(plus(N,M))) active(plus(N,0())) -> mark(N) active(plus(N,s(M))) -> mark(U11(tt(),M,N)) active(plus(X1,X2)) -> plus(X1,active(X2)) active(plus(X1,X2)) -> plus(active(X1),X2) active(s(X)) -> s(active(X)) plus(X1,mark(X2)) -> mark(plus(X1,X2)) plus(mark(X1),X2) -> mark(plus(X1,X2)) plus(ok(X1),ok(X2)) -> ok(plus(X1,X2)) proper(0()) -> ok(0()) proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3)) proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3)) proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) proper(s(X)) -> s(proper(X)) proper(tt()) -> ok(tt()) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {U11/3,U12/3,active/1,plus/2,proper/1,s/1,top/1} / {0/0,mark/1,ok/1,tt/0} - Obligation: innermost runtime complexity wrt. defined symbols {U11,U12,active,plus,proper,s,top} and constructors {0 ,mark,ok,tt} + Applied Processor: NaturalPI {shape = Mixed 3, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing} + Details: Incompatible MAYBE