
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
In quadrilateral $ABCD$, $AB$ is parallel to $CD$. The following $4$ conditions are given:<br/>① $AB=CD$,<br/>② $AD=BC$,<br/>③ $AD$ is parallel to $BC$,<br/>④ $\angle ABC=\angle ADC$. Among them, the condition that does not lead to the conclusion "quadrilateral $ABCD$ is a parallelogram" is ____ (only fill in the number).

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