Question
How many religions originated in Japan? Which ones?
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| (1)(~X v ~ Y) $\rightarrow$ (~ Z v ~X) | P |
| (2)(~ X v ~Y) v (~ T &~ K) | P |
| (3)(~P v ~ Q) &~ ~R | P |
| (4) ~(~Z v ~X) | P (5) ~(~X v ~ Y) |
| (5) ~(~X v ~ Y) | ................ |
| (6)~T & ~ K | ................ |
| (7) ~ ~ R | ................ |
| (8) (~ T & ~ K) &~ ~R | ................ |
| (1) (P $\rightarrow$ Q) &(R $\rightarrow$ S) | P |
| (2) (Q $\rightarrow$ T) & (P v R) | P |
| (3) ~T | P/ $\therefore$ (T v S) &~T |
| (4) P $\rightarrow$ Q | ................ |
| (5) Q $\rightarrow$ T | ................ |
| (6)P $\rightarrow$ T | ................ |
| (7)R $\rightarrow$ S | ................ |
| (8) P v R | ................ |
| (9)T v S | ................ |
| (10) (T v S) & ~T | ................ |
| (1) (P & Q) $\rightarrow$ S | P |
| (2) S $\rightarrow$ (~L $\rightarrow$ ~ N) | P |
| (3) ~ L & ~ N | P |
| (4) P & Q | P/$\therefore$ ~ N v F |
| (5) (P & Q) $\rightarrow$ ( ~ L$\rightarrow$~N) | ................ |
| (6) ~ L $\rightarrow$ ~ N | ................ |
| (7) ~ L | ................ |
| (8) ~ N | ................ |
| (9) ~ N v F | ................ |