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(Solved) Given the following premises: (S > ~F) & (~F > B), S v ~F, ~F, Select the conclusion that follows in a single step from the given...


Given the following premises: (S > ~F) & (~F > B), S v ~F, ~F, Select the conclusion that follows in a single step from the given premises.

 A.S > B 1, HS

 B.~F v B 1, 2, CD

 C.S 2, 3, DS

 D.B 1, 3, MP

 E.~S 1, 3, MT

Given the following premises: (J & ~N) v T, ~(J & ~N), ~T, Select the conclusion that follows in a single step from the given premises.

 A.T 1, 2, DS

 B.~J v N 2, DM

 C.J & ~N 1, 3, DS

 D.J & (~N v T) 1, Assoc

 E.~J 2, Simp

Given the following premises: ~(Q & ~S), ~F > (Q & ~S), H v (Q & ~S), Select the conclusion that follows in a single step from the given premises.

 A.(H & Q) v (H & ~S) 3, Dist

 B.~Q v S 1, DM

 C.F 1, 2, MT

 D.H 1, 3, DS

 E.~~F 1, 2, MT

Given the following premises: ~R = ~R, N & ~T, R > ~(N & ~T), Select the conclusion that follows in a single step from the given premises.

 A.~T 2, Simp

 B.(N & ~T) > ~R 3, Trans

 C.~R 2, 3, MT

 D.R > (~N v ~~T) 3, DM

 E.~R 1, Taut

Given the following premises: (K & ~T) v (K & ~H), ~M > (K & ~H), ~(K & ~H), Select the conclusion that follows in a single step from the given premises.

 A.~K v H 3, DM

 B.K & ~T 1, 3, DS

 C.K & (~T v ~H) 1, Dist

 D.M 2, 3, MT

 E.(~M & K) > ~H 2, Exp

Given the following premises: A, G > (A > ~L), ~A v ~G, Select the conclusion that follows in a single step from the given premises.

 A.A v G 3, DN

 B.(G > A) > ~L 2, Assoc

 C.~L 1, 2, MP

 D.~G 1, 3, DS

 E.G > (~~L > ~A) 2, Trans

Given the following premises: N = R, (N & ~R) > C, N, Select the conclusion that follows in a single step from the given premises.

 A.(N > R) v (R > N) 1, Equiv

 B.N & (~R > C) 2, Assoc

 C.C > (N & ~R) 2, Com

 D.N > (~R > C) 2, Exp

 E.R 1, 3, MP

Given the following premises: N, R > ~N, ~C & (T > R), Select the conclusion that follows in a single step from the given premises.

 A.~C 3, Simp

 B.T > ~N 2, 3, HS

 C.(~C & T) > R 3, Assoc

 D.~R 1, 2, MT

 E.N > ~R 2, Trans

 


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