
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)= \begin{cases}2^{x}-1,(x\leqslant 0) \\ f(x-2)+1,(x > 0)\end{cases}$, arrange the even zero points of the function $g(x)=f(x)- \dfrac {1}{2}x$ in ascending order to form a sequence and find the sum of the first 10 terms of the sequence, $S_{10}$.

Present the answer in LaTex format: \boxed{Your answer}
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