/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),?)
* Step 1: Sum WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            and(x,false()) -> false()
            and(false(),x) -> false()
            and(true(),true()) -> true()
            cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
            even(0()) -> true()
            even(s(0())) -> false()
            even(s(s(x))) -> even(x)
            gr(0(),x) -> false()
            gr(s(x),0()) -> true()
            gr(s(x),s(y())) -> gr(x,y())
            p(0()) -> 0()
            p(s(x)) -> x
        - Signature:
            {and/2,cond/2,even/1,gr/2,p/1} / {0/0,false/0,s/1,true/0,y/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {and,cond,even,gr,p} and constructors {0,false,s,true,y}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            and(x,false()) -> false()
            and(false(),x) -> false()
            and(true(),true()) -> true()
            cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
            even(0()) -> true()
            even(s(0())) -> false()
            even(s(s(x))) -> even(x)
            gr(0(),x) -> false()
            gr(s(x),0()) -> true()
            gr(s(x),s(y())) -> gr(x,y())
            p(0()) -> 0()
            p(s(x)) -> x
        - Signature:
            {and/2,cond/2,even/1,gr/2,p/1} / {0/0,false/0,s/1,true/0,y/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {and,cond,even,gr,p} and constructors {0,false,s,true,y}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          even(x){x -> s(s(x))} =
            even(s(s(x))) ->^+ even(x)
              = C[even(x) = even(x){}]

WORST_CASE(Omega(n^1),?)