
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
Some of  $A,B,C,D,$  and  $E$  are truth tellers, and the others are liars. Truth tellers always tell the truth. Liars always lie. We know  $A$  is a truth teller. According to below conversation, $B: $  I'm a truth teller. $C: $   $D$  is a truth teller. $D: $   $B$  and  $E$  are not both truth tellers. $E: $   $A$  and  $B$  are truth tellers. Determine the number of truth tellers.

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