
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 proposition p: For all $x \in \mathbb{R}$, the function $y = \log(2^x - m + 1)$ is meaningful; proposition q: The exponential function $f(x) = (5 - 2m)^x$ is increasing.  
(I) Write the negation of proposition p;  
(II) If "p ∧ q" is true, find the range of the real number $m$.

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