Solution
The logic operators used here are the same as in several logic-based KTANE modules, including Logic, Superlogic and Boolean Venn Diagram.
The provided logic statements are only consistent if the truth assignment is as follows.
W = ¬(Y → M)
P = ¬(I ↓ B)
C = ¬J ← U
H = ¬(G ∨ P)
L = N ∨ H
O = B → ¬D
I = ¬O ⊻ M
S = L ∧ ¬Y
B = ¬W → S
T = U ∧ B
Q = ¬N ↔ V
U = B | ¬N
J = ¬(Y ↔ S)
F = ¬(R ↔ E)
R = V | W
K = O ∧ D
X = J ∨ ¬G
A = R ⊻ ¬C
N = T ⊻ K
D = Y ∧ R
G = ¬Q ∨ D
V = ¬W → Y
E = Y → U
M = ¬(A ↔ C)
Y = L ∧ ¬W
Z = ¬(J | L)
The solution word consists of the letters whose value is true, in the order given.
COURAGE