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

WORST_CASE(Omega(n^1),?)