MAYBE
* Step 1: DependencyPairs MAYBE
    + Considered Problem:
        - Strict TRS:
            2nd(cons(X,X1)) -> 2nd(cons1(X,X1))
            2nd(cons1(X,cons(Y,Z))) -> Y
            from(X) -> cons(X,from(s(X)))
        - Signature:
            {2nd/1,from/1} / {cons/2,cons1/2,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {2nd,from} and constructors {cons,cons1,s}
    + Applied Processor:
        DependencyPairs {dpKind_ = DT}
    + Details:
        We add the following dependency tuples:
        
        Strict DPs
          2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
          2nd#(cons1(X,cons(Y,Z))) -> c_2()
          from#(X) -> c_3(from#(s(X)))
        Weak DPs
          
        
        and mark the set of starting terms.
* Step 2: UsableRules MAYBE
    + Considered Problem:
        - Strict DPs:
            2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
            2nd#(cons1(X,cons(Y,Z))) -> c_2()
            from#(X) -> c_3(from#(s(X)))
        - Weak TRS:
            2nd(cons(X,X1)) -> 2nd(cons1(X,X1))
            2nd(cons1(X,cons(Y,Z))) -> Y
            from(X) -> cons(X,from(s(X)))
        - Signature:
            {2nd/1,from/1,2nd#/1,from#/1} / {cons/2,cons1/2,s/1,c_1/1,c_2/0,c_3/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {2nd#,from#} and constructors {cons,cons1,s}
    + Applied Processor:
        UsableRules
    + Details:
        We replace rewrite rules by usable rules:
          2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
          2nd#(cons1(X,cons(Y,Z))) -> c_2()
          from#(X) -> c_3(from#(s(X)))
* Step 3: PredecessorEstimation MAYBE
    + Considered Problem:
        - Strict DPs:
            2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
            2nd#(cons1(X,cons(Y,Z))) -> c_2()
            from#(X) -> c_3(from#(s(X)))
        - Signature:
            {2nd/1,from/1,2nd#/1,from#/1} / {cons/2,cons1/2,s/1,c_1/1,c_2/0,c_3/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {2nd#,from#} and constructors {cons,cons1,s}
    + Applied Processor:
        PredecessorEstimation {onSelection = all simple predecessor estimation selector}
    + Details:
        We estimate the number of application of
          {2}
        by application of
          Pre({2}) = {1}.
        Here rules are labelled as follows:
          1: 2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
          2: 2nd#(cons1(X,cons(Y,Z))) -> c_2()
          3: from#(X) -> c_3(from#(s(X)))
* Step 4: PredecessorEstimation MAYBE
    + Considered Problem:
        - Strict DPs:
            2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
            from#(X) -> c_3(from#(s(X)))
        - Weak DPs:
            2nd#(cons1(X,cons(Y,Z))) -> c_2()
        - Signature:
            {2nd/1,from/1,2nd#/1,from#/1} / {cons/2,cons1/2,s/1,c_1/1,c_2/0,c_3/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {2nd#,from#} and constructors {cons,cons1,s}
    + Applied Processor:
        PredecessorEstimation {onSelection = all simple predecessor estimation selector}
    + Details:
        We estimate the number of application of
          {1}
        by application of
          Pre({1}) = {}.
        Here rules are labelled as follows:
          1: 2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
          2: from#(X) -> c_3(from#(s(X)))
          3: 2nd#(cons1(X,cons(Y,Z))) -> c_2()
* Step 5: RemoveWeakSuffixes MAYBE
    + Considered Problem:
        - Strict DPs:
            from#(X) -> c_3(from#(s(X)))
        - Weak DPs:
            2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
            2nd#(cons1(X,cons(Y,Z))) -> c_2()
        - Signature:
            {2nd/1,from/1,2nd#/1,from#/1} / {cons/2,cons1/2,s/1,c_1/1,c_2/0,c_3/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {2nd#,from#} and constructors {cons,cons1,s}
    + Applied Processor:
        RemoveWeakSuffixes
    + Details:
        Consider the dependency graph
          1:S:from#(X) -> c_3(from#(s(X)))
             -->_1 from#(X) -> c_3(from#(s(X))):1
          
          2:W:2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
             -->_1 2nd#(cons1(X,cons(Y,Z))) -> c_2():3
          
          3:W:2nd#(cons1(X,cons(Y,Z))) -> c_2()
             
          
        The following weak DPs constitute a sub-graph of the DG that is closed under successors. The DPs are removed.
          2: 2nd#(cons(X,X1)) -> c_1(2nd#(cons1(X,X1)))
          3: 2nd#(cons1(X,cons(Y,Z))) -> c_2()
* Step 6: Failure MAYBE
  + Considered Problem:
      - Strict DPs:
          from#(X) -> c_3(from#(s(X)))
      - Signature:
          {2nd/1,from/1,2nd#/1,from#/1} / {cons/2,cons1/2,s/1,c_1/1,c_2/0,c_3/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {2nd#,from#} and constructors {cons,cons1,s}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE