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


--------------------------------------------------------------------------------


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

WORST_CASE(Omega(n^1),?)