* Step 1: Bounds WORST_CASE(?,O(n^1))
    + 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) -> mark(U12(X1,X2))
            U12(ok(X1),ok(X2)) -> ok(U12(X1,X2))
            U13(mark(X)) -> mark(U13(X))
            U13(ok(X)) -> ok(U13(X))
            U21(mark(X1),X2) -> mark(U21(X1,X2))
            U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
            U22(mark(X)) -> mark(U22(X))
            U22(ok(X)) -> ok(U22(X))
            U31(mark(X1),X2) -> mark(U31(X1,X2))
            U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
            U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
            U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
            and(mark(X1),X2) -> mark(and(X1,X2))
            and(ok(X1),ok(X2)) -> ok(and(X1,X2))
            isNat(ok(X)) -> ok(isNat(X))
            isNatKind(ok(X)) -> ok(isNatKind(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(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,U12/2,U13/1,U21/2,U22/1,U31/2,U41/3,and/2,isNat/1,isNatKind/1,plus/2,proper/1,s/1,top/1} / {0/0
            ,active/1,mark/1,ok/1,tt/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {U11,U12,U13,U21,U22,U31,U41,and,isNat,isNatKind,plus
            ,proper,s,top} and constructors {0,active,mark,ok,tt}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 2.
        The enriched problem is compatible with follwoing automaton.
          0_0() -> 2
          0_1() -> 3
          U11_0(2,2,2) -> 1
          U11_1(2,2,2) -> 3
          U12_0(2,2) -> 1
          U12_1(2,2) -> 3
          U13_0(2) -> 1
          U13_1(2) -> 3
          U21_0(2,2) -> 1
          U21_1(2,2) -> 3
          U22_0(2) -> 1
          U22_1(2) -> 3
          U31_0(2,2) -> 1
          U31_1(2,2) -> 3
          U41_0(2,2,2) -> 1
          U41_1(2,2,2) -> 3
          active_0(2) -> 2
          active_1(2) -> 4
          active_2(3) -> 5
          and_0(2,2) -> 1
          and_1(2,2) -> 3
          isNat_0(2) -> 1
          isNat_1(2) -> 3
          isNatKind_0(2) -> 1
          isNatKind_1(2) -> 3
          mark_0(2) -> 2
          mark_1(3) -> 1
          mark_1(3) -> 3
          ok_0(2) -> 2
          ok_1(3) -> 1
          ok_1(3) -> 3
          ok_1(3) -> 4
          plus_0(2,2) -> 1
          plus_1(2,2) -> 3
          proper_0(2) -> 1
          proper_1(2) -> 4
          s_0(2) -> 1
          s_1(2) -> 3
          top_0(2) -> 1
          top_1(4) -> 1
          top_2(5) -> 1
          tt_0() -> 2
          tt_1() -> 3
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak 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) -> mark(U12(X1,X2))
            U12(ok(X1),ok(X2)) -> ok(U12(X1,X2))
            U13(mark(X)) -> mark(U13(X))
            U13(ok(X)) -> ok(U13(X))
            U21(mark(X1),X2) -> mark(U21(X1,X2))
            U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
            U22(mark(X)) -> mark(U22(X))
            U22(ok(X)) -> ok(U22(X))
            U31(mark(X1),X2) -> mark(U31(X1,X2))
            U31(ok(X1),ok(X2)) -> ok(U31(X1,X2))
            U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
            U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
            and(mark(X1),X2) -> mark(and(X1,X2))
            and(ok(X1),ok(X2)) -> ok(and(X1,X2))
            isNat(ok(X)) -> ok(isNat(X))
            isNatKind(ok(X)) -> ok(isNatKind(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(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,U12/2,U13/1,U21/2,U22/1,U31/2,U41/3,and/2,isNat/1,isNatKind/1,plus/2,proper/1,s/1,top/1} / {0/0
            ,active/1,mark/1,ok/1,tt/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {U11,U12,U13,U21,U22,U31,U41,and,isNat,isNatKind,plus
            ,proper,s,top} and constructors {0,active,mark,ok,tt}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))