Question
What is the field of factors?
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| (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) (X $\rightarrow$ Y) $\rightarrow$ (A $\rightarrow$ B) | P |
| (2)(A $\rightarrow$ B) $\rightarrow$ R | P |
| (3) [(X $\rightarrow$ Y) $\rightarrow$ R] $\rightarrow$ K=J | P |
| (4) J $\rightarrow$ K | P/ $\therefore$ (J $\rightarrow$ K) & (J & K) |
| (5) ( X $\rightarrow$ Y) $\rightarrow$ R | ................ |
| (6) J | ................ |
| (7)K | ................ |
| (8) J & K | ................ |
| (9) (J $\rightarrow$ K) & (J &K) | ................ |
| (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) A $\rightarrow$ B | P |
| (2) C $\rightarrow$ D | P |
| (3)~ D & ~ B | P/$\therefore$(~ A & ~ C) v P |
| (4) ~ B | ................ |
| (5) ~ A | ................ |
| (6) ~ p | ................ |
| (7) ~ c | ................ |
| (8) ~A & ~ C | ................ |
| (9)( ~ A & ~ C) v P | ................ |
| (1) (R & S) v P | P |
| (2) P $\rightarrow$ Q | P |
| (3) T v [(R & S) $\rightarrow$ W] | P |
| (4)~ S & ~T | P/$\therefore$ ~ S & (W v Q) |
| (5) ~ S | ................ |
| (6) ~ T | ................ |
| (7) (R & S) $\rightarrow$ W | ................ |
| (8) W $\rightarrow$ Q | ................ |
| (9) ~ S &( W v Q) | ................ |