/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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:
            *(x,+(y,z)) -> +(*(x,y),*(x,z))
        - Signature:
            {*/2} / {+/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*} and constructors {+}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            *(x,+(y,z)) -> +(*(x,y),*(x,z))
        - Signature:
            {*/2} / {+/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*} and constructors {+}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          *(x,y){y -> +(y,z)} =
            *(x,+(y,z)) ->^+ +(*(x,y),*(x,z))
              = C[*(x,y) = *(x,y){}]

** Step 1.b:1: Ara WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            *(x,+(y,z)) -> +(*(x,y),*(x,z))
        - Signature:
            {*/2} / {+/2}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*} and constructors {+}
    + Applied Processor:
        Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing}
    + Details:
        Signatures used:
        ----------------
          * :: ["A"(0) x "A"(15)] -(1)-> "A"(0)
          + :: ["A"(15) x "A"(15)] -(15)-> "A"(15)
          + :: ["A"(0) x "A"(0)] -(0)-> "A"(0)
        
        
        Cost-free Signatures used:
        --------------------------
        
        
        
        Base Constructor Signatures used:
        ---------------------------------
          "+_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0)
        

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