Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):
1.
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(S U ∼F) • (∼F U B)
2.
S v ∼F
3.
∼F
QUESTION 2
Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):
1. ~M U S
2. ~M
3. (M v H) v ~S
QUESTION 3
Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):
1. (J • ~N) v T
2. ~(J • ~N)
3. J
QUESTION 4
Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):
1. N v C
2. (N v C) U (F U C)
3. ~C
QUESTION 5
Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):
1. ~E U P
2. ~P
3. ~(P v ~H)
QUESTION 6
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. M U ~Q
2. (P U ~Q) U (R U ~L)
3. ~L U S
4. P U M / R U S
QUESTION 7
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. L v ~S
2. R U (P • ~Q)
3. ~L
4. (P • ~Q) U S / ~R
QUESTION 8
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. P v (M v R)
2. M U S
3. R U Q
4. ~P / S v Q
QUESTION 9
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. (M v N) U (P • K)
2. (P v ~Q) U
3. M / P • (R U L)
QUESTION 10
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. P • ~Q
2. (P v ~R) U (~S • M)
3. (~S • P) U (P U N) / N
QUESTION 11
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. (P U Q) • (R U S)
2. P v L
3. (L U M) • (N U K) / Q v M
QUESTION 12
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. P • (S v Q)
2. (P v R) U M / M
QUESTION 13
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. ~P U Q
2. R • (S U L)
3. (Q • ~M) U (R U ~L)
4. ~P • ~K
5. ~P U ~M / ~L
QUESTION 14
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. R U S
2. P U ~Q
3. ~Q U R
4. P • Q / R • S
QUESTION 15
Please complete the following proof using the first eight rules of inference (please read U as horseshoe):
1. (Q • R) v ~P
2. R U S
3. U (L U ~Q)
4. ~(Q • R) U (~Q U R)
5. ~(Q • R) • ~M / L U S
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