/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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WORST_CASE(Omega(n^1),O(n^1))
* Step 1: Sum WORST_CASE(Omega(n^1),O(n^1))
    + Considered Problem:
        - Strict TRS:
            dfsAcc#3(Leaf(x8),x16) -> Cons(x8,x16)
            dfsAcc#3(Node(x6,x4),x2) -> dfsAcc#3(x4,dfsAcc#3(x6,x2))
            main(x1) -> revApp#2(dfsAcc#3(x1,Nil()),Nil())
            revApp#2(Cons(x6,x4),x2) -> revApp#2(x4,Cons(x6,x2))
            revApp#2(Nil(),x16) -> x16
        - Signature:
            {dfsAcc#3/2,main/1,revApp#2/2} / {Cons/2,Leaf/1,Nil/0,Node/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {dfsAcc#3,main,revApp#2} and constructors {Cons,Leaf,Nil
            ,Node}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            dfsAcc#3(Leaf(x8),x16) -> Cons(x8,x16)
            dfsAcc#3(Node(x6,x4),x2) -> dfsAcc#3(x4,dfsAcc#3(x6,x2))
            main(x1) -> revApp#2(dfsAcc#3(x1,Nil()),Nil())
            revApp#2(Cons(x6,x4),x2) -> revApp#2(x4,Cons(x6,x2))
            revApp#2(Nil(),x16) -> x16
        - Signature:
            {dfsAcc#3/2,main/1,revApp#2/2} / {Cons/2,Leaf/1,Nil/0,Node/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {dfsAcc#3,main,revApp#2} and constructors {Cons,Leaf,Nil
            ,Node}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          dfsAcc#3(y,z){y -> Node(x,y)} =
            dfsAcc#3(Node(x,y),z) ->^+ dfsAcc#3(y,dfsAcc#3(x,z))
              = C[dfsAcc#3(y,dfsAcc#3(x,z)) = dfsAcc#3(y,z){z -> dfsAcc#3(x,z)}]

** Step 1.b:1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            dfsAcc#3(Leaf(x8),x16) -> Cons(x8,x16)
            dfsAcc#3(Node(x6,x4),x2) -> dfsAcc#3(x4,dfsAcc#3(x6,x2))
            main(x1) -> revApp#2(dfsAcc#3(x1,Nil()),Nil())
            revApp#2(Cons(x6,x4),x2) -> revApp#2(x4,Cons(x6,x2))
            revApp#2(Nil(),x16) -> x16
        - Signature:
            {dfsAcc#3/2,main/1,revApp#2/2} / {Cons/2,Leaf/1,Nil/0,Node/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {dfsAcc#3,main,revApp#2} and constructors {Cons,Leaf,Nil
            ,Node}
    + Applied Processor:
        Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing}
    + Details:
        Signatures used:
        ----------------
          Cons :: ["A"(0) x "A"(15)] -(15)-> "A"(15)
          Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0)
          Leaf :: ["A"(0)] -(15)-> "A"(15)
          Nil :: [] -(0)-> "A"(15)
          Nil :: [] -(0)-> "A"(8)
          Node :: ["A"(15) x "A"(15)] -(15)-> "A"(15)
          dfsAcc#3 :: ["A"(15) x "A"(15)] -(1)-> "A"(15)
          main :: ["A"(15)] -(8)-> "A"(0)
          revApp#2 :: ["A"(15) x "A"(0)] -(1)-> "A"(0)
        
        
        Cost-free Signatures used:
        --------------------------
        
        
        
        Base Constructor Signatures used:
        ---------------------------------
          "Cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1)
          "Leaf_A" :: ["A"(0)] -(1)-> "A"(1)
          "Nil_A" :: [] -(0)-> "A"(1)
          "Node_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1)
        

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