% Mizar problem: t5_gate_3,gate_3,313,5 
fof(t5_gate_3, conjecture,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (! [L] :  (! [M] :  (! [N] :  (! [O] :  (! [P] :  (! [Q] :  (! [R] :  (! [S] :  (! [T] :  (! [U] :  (! [V] :  (! [W] :  (! [X] :  (! [Y] :  (! [Z] :  (! [A1] :  (! [B1] :  (! [C1] :  (! [D1] :  (! [E1] :  (! [F1] :  (! [G1] :  (! [H1] :  (! [I1] :  (! [J1] :  (! [K1] :  (! [L1] :  (! [M1] :  (! [N1] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), k1_gate_1(I1), H1, G1)))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, k1_gate_1(H1), G1)))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, k1_gate_1(G1))))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(J1), I1, H1, G1)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), k1_gate_1(H1), G1)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, k1_gate_1(G1))))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, k1_gate_1(I1), H1, G1)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), k1_gate_1(G1))))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, k1_gate_1(H1), G1)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, k1_gate_1(G1))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k14_gate_1(J1, I1, H1, G1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(J1, I1, H1, G1)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), k1_gate_1(M1), L1, K1)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, k1_gate_1(L1), K1)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, k1_gate_1(K1))))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(k1_gate_1(N1), M1, L1, K1)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), k1_gate_1(L1), K1)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, k1_gate_1(K1))))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, k1_gate_1(M1), L1, K1)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), k1_gate_1(K1))))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, k1_gate_1(L1), K1)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, k1_gate_1(K1))))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k14_gate_1(N1, M1, L1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(N1, M1, L1, K1)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k1_gate_1(J1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(J1)))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(N1)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(A)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(B))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(D)) )  &  ( ~ ( ( ~ (v1_xboole_0(D))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(C)) )  &  ( ~ ( ( ~ (v1_xboole_0(C))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(F)) )  &  ( ~ ( ( ~ (v1_xboole_0(F))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(E)) )  &  ( ~ ( ( ~ (v1_xboole_0(E))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(J)) )  &  ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(S)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k14_gate_1, axiom, $true).
fof(dt_k1_gate_1, axiom, $true).
fof(fc1_gate_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k1_gate_1(A))) ) ) ).
fof(fc2_gate_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k1_gate_1(A))) ) ).
fof(t20_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ (v1_xboole_0(k14_gate_1(A, B, C, D)))  <=>  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) ) ) ) ) ) ).
