Translation scheme:
P: Scully believes in aliens
Q: Mulder believes in aliens
R: Scully was abducted
S: Mulder was abducted
T: Scully is rational
U: Mulder is rational
V: Scully is paranoid
W: Mulder is paranoid
1. Scully, who was abducted, does not believe in aliens.
2. If Scully, who was abducted, does not believe in aliens, then she
is not rational.
3. If Scully is rational only if she believes in aliens, then given
that she does not believe in aliens she is not rational.
4. Scully’s being abducted is neither necessary nor sufficient for
her believing in aliens.
5. Both Mulder and Scully are not paranoid, but Mulder believes in
aliens while Scully does not.
6. Neither Mulder nor Scully either was abducted or is paranoid.
7. Neither Mulder nor Scully is either paranoid or irrational.
8. Though Mulder and Scully were not both abducted they are both paranoid.
9. If Scully believes in aliens only on the condition that Mulder believes
in aliens, and Mulder believes in aliens only on the condition that he
is paranoid, then neither Mulder nor Scully believes in aliens.
10. Given that Mulder and Scully both believe in aliens they are both
irrational, unless they are both paranoid.
11. Only if Mulder, who is paranoid, and Scully, who was abducted,
believe in aliens are they rational.