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


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WORST_CASE(Omega(n^1),?)
* Step 1: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            U11(tt(),L) -> U12(tt(),activate(L))
            U12(tt(),L) -> s(length(activate(L)))
            activate(X) -> X
            activate(n__zeros()) -> zeros()
            length(cons(N,L)) -> U11(tt(),activate(L))
            length(nil()) -> 0()
            zeros() -> cons(0(),n__zeros())
            zeros() -> n__zeros()
        - Signature:
            {U11/2,U12/2,activate/1,length/1,zeros/0} / {0/0,cons/2,n__zeros/0,nil/0,s/1,tt/0}
        - Obligation:
             runtime complexity wrt. defined symbols {U11,U12,activate,length,zeros} and constructors {0,cons,n__zeros
            ,nil,s,tt}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            U11(tt(),L) -> U12(tt(),activate(L))
            U12(tt(),L) -> s(length(activate(L)))
            activate(X) -> X
            activate(n__zeros()) -> zeros()
            length(cons(N,L)) -> U11(tt(),activate(L))
            length(nil()) -> 0()
            zeros() -> cons(0(),n__zeros())
            zeros() -> n__zeros()
        - Signature:
            {U11/2,U12/2,activate/1,length/1,zeros/0} / {0/0,cons/2,n__zeros/0,nil/0,s/1,tt/0}
        - Obligation:
             runtime complexity wrt. defined symbols {U11,U12,activate,length,zeros} and constructors {0,cons,n__zeros
            ,nil,s,tt}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 3: DecreasingLoops.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            U11(tt(),L) -> U12(tt(),activate(L))
            U12(tt(),L) -> s(length(activate(L)))
            activate(X) -> X
            activate(n__zeros()) -> zeros()
            length(cons(N,L)) -> U11(tt(),activate(L))
            length(nil()) -> 0()
            zeros() -> cons(0(),n__zeros())
            zeros() -> n__zeros()
        - Signature:
            {U11/2,U12/2,activate/1,length/1,zeros/0} / {0/0,cons/2,n__zeros/0,nil/0,s/1,tt/0}
        - Obligation:
             runtime complexity wrt. defined symbols {U11,U12,activate,length,zeros} and constructors {0,cons,n__zeros
            ,nil,s,tt}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          U11(tt(),x){x -> cons(y,x)} =
            U11(tt(),cons(y,x)) ->^+ s(U11(tt(),x))
              = C[U11(tt(),x) = U11(tt(),x){}]

WORST_CASE(Omega(n^1),?)