* Step 1: Sum WORST_CASE(Omega(n^1),O(n^1))
    + Considered Problem:
        - Strict TRS:
            deeprev(C(x1,x2)) -> deeprevapp(C(x1,x2),N())
            deeprev(N()) -> N()
            deeprev(V(n)) -> V(n)
            deeprevapp(C(x1,x2),rest) -> deeprevapp(x2,C(x1,rest))
            deeprevapp(N(),rest) -> rest
            deeprevapp(V(n),rest) -> revconsapp(rest,V(n))
            first(C(x1,x2)) -> x1
            first(V(n)) -> N()
            goal(x) -> deeprev(x)
            isEmptyT(C(x1,x2)) -> False()
            isEmptyT(N()) -> True()
            isEmptyT(V(n)) -> False()
            isNotEmptyT(C(x1,x2)) -> True()
            isNotEmptyT(N()) -> False()
            isNotEmptyT(V(n)) -> False()
            isVal(C(x1,x2)) -> False()
            isVal(N()) -> False()
            isVal(V(n)) -> True()
            revconsapp(C(x1,x2),r) -> revconsapp(x2,C(x1,r))
            revconsapp(N(),r) -> r
            revconsapp(V(n),r) -> r
            second(C(x1,x2)) -> x2
            second(V(n)) -> N()
        - Signature:
            {deeprev/1,deeprevapp/2,first/1,goal/1,isEmptyT/1,isNotEmptyT/1,isVal/1,revconsapp/2,second/1} / {C/2
            ,False/0,N/0,True/0,V/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {deeprev,deeprevapp,first,goal,isEmptyT,isNotEmptyT,isVal
            ,revconsapp,second} and constructors {C,False,N,True,V}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            deeprev(C(x1,x2)) -> deeprevapp(C(x1,x2),N())
            deeprev(N()) -> N()
            deeprev(V(n)) -> V(n)
            deeprevapp(C(x1,x2),rest) -> deeprevapp(x2,C(x1,rest))
            deeprevapp(N(),rest) -> rest
            deeprevapp(V(n),rest) -> revconsapp(rest,V(n))
            first(C(x1,x2)) -> x1
            first(V(n)) -> N()
            goal(x) -> deeprev(x)
            isEmptyT(C(x1,x2)) -> False()
            isEmptyT(N()) -> True()
            isEmptyT(V(n)) -> False()
            isNotEmptyT(C(x1,x2)) -> True()
            isNotEmptyT(N()) -> False()
            isNotEmptyT(V(n)) -> False()
            isVal(C(x1,x2)) -> False()
            isVal(N()) -> False()
            isVal(V(n)) -> True()
            revconsapp(C(x1,x2),r) -> revconsapp(x2,C(x1,r))
            revconsapp(N(),r) -> r
            revconsapp(V(n),r) -> r
            second(C(x1,x2)) -> x2
            second(V(n)) -> N()
        - Signature:
            {deeprev/1,deeprevapp/2,first/1,goal/1,isEmptyT/1,isNotEmptyT/1,isVal/1,revconsapp/2,second/1} / {C/2
            ,False/0,N/0,True/0,V/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {deeprev,deeprevapp,first,goal,isEmptyT,isNotEmptyT,isVal
            ,revconsapp,second} and constructors {C,False,N,True,V}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          deeprevapp(y,z){y -> C(x,y)} =
            deeprevapp(C(x,y),z) ->^+ deeprevapp(y,C(x,z))
              = C[deeprevapp(y,C(x,z)) = deeprevapp(y,z){z -> C(x,z)}]

** Step 1.b:1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            deeprev(C(x1,x2)) -> deeprevapp(C(x1,x2),N())
            deeprev(N()) -> N()
            deeprev(V(n)) -> V(n)
            deeprevapp(C(x1,x2),rest) -> deeprevapp(x2,C(x1,rest))
            deeprevapp(N(),rest) -> rest
            deeprevapp(V(n),rest) -> revconsapp(rest,V(n))
            first(C(x1,x2)) -> x1
            first(V(n)) -> N()
            goal(x) -> deeprev(x)
            isEmptyT(C(x1,x2)) -> False()
            isEmptyT(N()) -> True()
            isEmptyT(V(n)) -> False()
            isNotEmptyT(C(x1,x2)) -> True()
            isNotEmptyT(N()) -> False()
            isNotEmptyT(V(n)) -> False()
            isVal(C(x1,x2)) -> False()
            isVal(N()) -> False()
            isVal(V(n)) -> True()
            revconsapp(C(x1,x2),r) -> revconsapp(x2,C(x1,r))
            revconsapp(N(),r) -> r
            revconsapp(V(n),r) -> r
            second(C(x1,x2)) -> x2
            second(V(n)) -> N()
        - Signature:
            {deeprev/1,deeprevapp/2,first/1,goal/1,isEmptyT/1,isNotEmptyT/1,isVal/1,revconsapp/2,second/1} / {C/2
            ,False/0,N/0,True/0,V/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {deeprev,deeprevapp,first,goal,isEmptyT,isNotEmptyT,isVal
            ,revconsapp,second} and constructors {C,False,N,True,V}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 3.
        The enriched problem is compatible with follwoing automaton.
          C_0(2,2) -> 1
          C_0(2,2) -> 2
          C_1(2,1) -> 1
          C_1(2,2) -> 1
          C_1(2,2) -> 3
          C_1(2,3) -> 1
          C_1(2,3) -> 3
          C_1(2,5) -> 1
          C_1(2,5) -> 3
          C_1(2,6) -> 1
          C_2(2,1) -> 1
          C_2(2,1) -> 6
          C_2(2,4) -> 1
          C_2(2,4) -> 5
          C_2(2,5) -> 1
          C_2(2,5) -> 5
          C_2(2,6) -> 1
          C_2(2,6) -> 6
          C_3(2,5) -> 1
          C_3(2,5) -> 8
          C_3(2,6) -> 1
          C_3(2,6) -> 7
          C_3(2,7) -> 1
          C_3(2,7) -> 7
          C_3(2,8) -> 1
          C_3(2,8) -> 8
          False_0() -> 1
          False_0() -> 2
          False_1() -> 1
          N_0() -> 1
          N_0() -> 2
          N_1() -> 1
          N_1() -> 4
          True_0() -> 1
          True_0() -> 2
          True_1() -> 1
          V_0(2) -> 1
          V_0(2) -> 2
          V_1(2) -> 1
          deeprev_0(2) -> 1
          deeprev_1(2) -> 1
          deeprevapp_0(2,2) -> 1
          deeprevapp_1(2,3) -> 1
          deeprevapp_1(3,4) -> 1
          deeprevapp_2(2,5) -> 1
          deeprevapp_2(3,5) -> 1
          deeprevapp_2(5,5) -> 1
          deeprevapp_3(4,8) -> 1
          deeprevapp_3(5,8) -> 1
          first_0(2) -> 1
          goal_0(2) -> 1
          isEmptyT_0(2) -> 1
          isNotEmptyT_0(2) -> 1
          isVal_0(2) -> 1
          revconsapp_0(2,2) -> 1
          revconsapp_1(2,1) -> 1
          revconsapp_1(3,1) -> 1
          revconsapp_1(5,1) -> 1
          revconsapp_2(2,6) -> 1
          revconsapp_2(3,6) -> 1
          revconsapp_2(4,6) -> 1
          revconsapp_2(5,6) -> 1
          revconsapp_3(4,7) -> 1
          revconsapp_3(5,7) -> 1
          second_0(2) -> 1
          2 -> 1
          3 -> 1
          5 -> 1
          6 -> 1
          7 -> 1
          8 -> 1
** Step 1.b:2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            deeprev(C(x1,x2)) -> deeprevapp(C(x1,x2),N())
            deeprev(N()) -> N()
            deeprev(V(n)) -> V(n)
            deeprevapp(C(x1,x2),rest) -> deeprevapp(x2,C(x1,rest))
            deeprevapp(N(),rest) -> rest
            deeprevapp(V(n),rest) -> revconsapp(rest,V(n))
            first(C(x1,x2)) -> x1
            first(V(n)) -> N()
            goal(x) -> deeprev(x)
            isEmptyT(C(x1,x2)) -> False()
            isEmptyT(N()) -> True()
            isEmptyT(V(n)) -> False()
            isNotEmptyT(C(x1,x2)) -> True()
            isNotEmptyT(N()) -> False()
            isNotEmptyT(V(n)) -> False()
            isVal(C(x1,x2)) -> False()
            isVal(N()) -> False()
            isVal(V(n)) -> True()
            revconsapp(C(x1,x2),r) -> revconsapp(x2,C(x1,r))
            revconsapp(N(),r) -> r
            revconsapp(V(n),r) -> r
            second(C(x1,x2)) -> x2
            second(V(n)) -> N()
        - Signature:
            {deeprev/1,deeprevapp/2,first/1,goal/1,isEmptyT/1,isNotEmptyT/1,isVal/1,revconsapp/2,second/1} / {C/2
            ,False/0,N/0,True/0,V/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {deeprev,deeprevapp,first,goal,isEmptyT,isNotEmptyT,isVal
            ,revconsapp,second} and constructors {C,False,N,True,V}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(Omega(n^1),O(n^1))