
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 $f(x)=x^{2}-ax(a\neq 0)$, $g(x)=\ln x$, the graph of $f(x)$ intersects the $x$-axis at point $M$ (where $M$ is different from the origin), the tangent line to $f(x)$ at $M$ is $l_{1}$, the graph of $g(x-1)$ intersects the $x$-axis at point $N$ and the tangent line at that point is $l_{2}$, and $l_{1}$ is parallel to $l_{2}$.  
(Ⅰ) Find the value of $f(2)$;  
(Ⅱ) Given a real number $t\in R$, find the minimum value of the function $y=f[xg(x)+t]$, $x\in[1,e]$.

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