% Mizar problem: t42_gate_1,gate_1,851,5 
fof(t42_gate_1, 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] :  (! [O1] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k7_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(B, C)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k6_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(B, C)))  & v1_xboole_0(L)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k34_gate_1(B, C))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(B, C)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k7_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(D, E)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k6_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(D, E)))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k34_gate_1(D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(D, E)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k7_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(F, G)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k6_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(F, G)))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k34_gate_1(F, G))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(F, G)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k7_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(H, I)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k6_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_1(H, I)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k34_gate_1(H, I))) )  &  ( ~ ( ( ~ (v1_xboole_0(k34_gate_1(H, I)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k1_gate_1(A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(A)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k1_gate_1(W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k1_gate_1(W)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k4_gate_1(X, M))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(X, M)))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k2_gate_1(W, L))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(W, L)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Z))  & v1_xboole_0(k7_gate_1(Y, K))) )  &  ( ~ ( ( ~ (v1_xboole_0(k7_gate_1(Y, K)))  & v1_xboole_0(Z)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k4_gate_1(Z, P))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(Z, P)))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(A1))  & v1_xboole_0(k2_gate_1(K, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(K, O)))  & v1_xboole_0(A1)) )  &  ( ~ ( ( ~ (v1_xboole_0(B1))  & v1_xboole_0(k8_gate_1(O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(O, L, W)))  & v1_xboole_0(B1)) )  &  ( ~ ( ( ~ (v1_xboole_0(C1))  & v1_xboole_0(k13_gate_1(A1, B1, N))) )  &  ( ~ ( ( ~ (v1_xboole_0(k13_gate_1(A1, B1, N)))  & v1_xboole_0(C1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k4_gate_1(C1, S))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(C1, S)))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(D1))  & v1_xboole_0(k2_gate_1(N, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(N, R)))  & v1_xboole_0(D1)) )  &  ( ~ ( ( ~ (v1_xboole_0(E1))  & v1_xboole_0(k8_gate_1(K, R, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(K, R, O)))  & v1_xboole_0(E1)) )  &  ( ~ ( ( ~ (v1_xboole_0(F1))  & v1_xboole_0(k14_gate_1(R, O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(R, O, L, W)))  & v1_xboole_0(F1)) )  &  ( ~ ( ( ~ (v1_xboole_0(G1))  & v1_xboole_0(k17_gate_1(D1, E1, F1, Q))) )  &  ( ~ ( ( ~ (v1_xboole_0(k17_gate_1(D1, E1, F1, Q)))  & v1_xboole_0(G1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k4_gate_1(G1, V))) )  &  ( ~ ( ( ~ (v1_xboole_0(k4_gate_1(G1, V)))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(H1))  & v1_xboole_0(k2_gate_1(Q, U))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(Q, U)))  & v1_xboole_0(H1)) )  &  ( ~ ( ( ~ (v1_xboole_0(I1))  & v1_xboole_0(k8_gate_1(N, U, R))) )  &  ( ~ ( ( ~ (v1_xboole_0(k8_gate_1(N, U, R)))  & v1_xboole_0(I1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J1))  & v1_xboole_0(k14_gate_1(K, U, R, O))) )  &  ( ~ ( ( ~ (v1_xboole_0(k14_gate_1(K, U, R, O)))  & v1_xboole_0(J1)) )  &  ( ~ ( ( ~ (v1_xboole_0(K1))  & v1_xboole_0(k18_gate_1(U, R, O, L, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k18_gate_1(U, R, O, L, W)))  & v1_xboole_0(K1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k21_gate_1(T, H1, I1, J1, K1))) )  &  ( ~ ( ( ~ (v1_xboole_0(k21_gate_1(T, H1, I1, J1, K1)))  & v1_xboole_0(J)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(L1))  & v1_xboole_0(k10_gate_1(B, C, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(B, C, A)))  & v1_xboole_0(L1)) )  &  ( ~ ( ( ~ (v1_xboole_0(M1))  & v1_xboole_0(k35_gate_1(B, C, D, E, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k35_gate_1(B, C, D, E, A)))  & v1_xboole_0(M1)) )  &  ( ~ ( ( ~ (v1_xboole_0(N1))  & v1_xboole_0(k37_gate_1(B, C, D, E, F, G, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k37_gate_1(B, C, D, E, F, G, A)))  & v1_xboole_0(N1)) )  &  ( ~ ( ( ~ (v1_xboole_0(O1))  & v1_xboole_0(k39_gate_1(B, C, D, E, F, G, H, I, A))) )  &  ( ~ ( ( ~ (v1_xboole_0(k39_gate_1(B, C, D, E, F, G, H, I, A)))  & v1_xboole_0(O1)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k40_gate_1(B, C, D, E, F, G, H, I, A))) )  &  ~ ( ( ~ (v1_xboole_0(k40_gate_1(B, C, D, E, F, G, H, I, A)))  & v1_xboole_0(J)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(commutativity_k2_gate_1, axiom,  (! [A, B] : k2_gate_1(A, B)=k2_gate_1(B, A)) ).
fof(commutativity_k34_gate_1, axiom,  (! [A, B] : k34_gate_1(A, B)=k34_gate_1(B, A)) ).
fof(commutativity_k4_gate_1, axiom,  (! [A, B] : k4_gate_1(A, B)=k4_gate_1(B, A)) ).
fof(commutativity_k6_gate_1, axiom,  (! [A, B] : k6_gate_1(A, B)=k6_gate_1(B, A)) ).
fof(commutativity_k7_gate_1, axiom,  (! [A, B] : k7_gate_1(A, B)=k7_gate_1(B, A)) ).
fof(d13_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  ~ (k13_gate_1(A, B, C)=k1_gate_1(k1_xboole_0)) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) ) )  => k13_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ).
fof(d14_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (k14_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0)) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) ) )  => k14_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ).
fof(d17_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  ~ (k17_gate_1(A, B, C, D)=k1_gate_1(k1_xboole_0)) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) & v1_xboole_0(D)) ) ) )  => k17_gate_1(A, B, C, D)=k1_xboole_0) ) ) ) ) ) ).
fof(d18_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( ~ (v1_xboole_0(E))  &  ~ (k18_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) ) )  => k18_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(d21_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) &  (v1_xboole_0(E) &  ~ (k21_gate_1(A, B, C, D, E)=k1_gate_1(k1_xboole_0)) ) ) ) ) ) )  &  ( ~ ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  (v1_xboole_0(C) &  (v1_xboole_0(D) & v1_xboole_0(E)) ) ) ) )  => k21_gate_1(A, B, C, D, E)=k1_xboole_0) ) ) ) ) ) ) ).
fof(d34_gate_1, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  &  ( ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) )  &  ~ (k34_gate_1(A, B)=k1_gate_1(k1_xboole_0)) ) ) )  &  ( ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  &  ~ ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) ) ) ) )  => k34_gate_1(A, B)=k1_xboole_0) ) ) ) ).
fof(d35_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k35_gate_1(A, B, C, D, E)=k10_gate_1(C, D, k11_gate_1(A, B, E))) ) ) ) ) ).
fof(d36_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k36_gate_1(A, B, C, D, E)=k11_gate_1(C, D, k11_gate_1(A, B, E))) ) ) ) ) ).
fof(d37_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k37_gate_1(A, B, C, D, E, F, G)=k10_gate_1(E, F, k36_gate_1(A, B, C, D, G))) ) ) ) ) ) ) ).
fof(d38_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] : k38_gate_1(A, B, C, D, E, F, G)=k11_gate_1(E, F, k36_gate_1(A, B, C, D, G))) ) ) ) ) ) ) ).
fof(d39_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k39_gate_1(A, B, C, D, E, F, G, H, I)=k10_gate_1(G, H, k38_gate_1(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ).
fof(d40_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k40_gate_1(A, B, C, D, E, F, G, H, I)=k11_gate_1(G, H, k38_gate_1(A, B, C, D, E, F, I))) ) ) ) ) ) ) ) ) ).
fof(dt_k10_gate_1, axiom, $true).
fof(dt_k11_gate_1, axiom, $true).
fof(dt_k13_gate_1, axiom, $true).
fof(dt_k14_gate_1, axiom, $true).
fof(dt_k17_gate_1, axiom, $true).
fof(dt_k18_gate_1, axiom, $true).
fof(dt_k1_gate_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k21_gate_1, axiom, $true).
fof(dt_k2_gate_1, axiom, $true).
fof(dt_k34_gate_1, axiom, $true).
fof(dt_k35_gate_1, axiom, $true).
fof(dt_k36_gate_1, axiom, $true).
fof(dt_k37_gate_1, axiom, $true).
fof(dt_k38_gate_1, axiom, $true).
fof(dt_k39_gate_1, axiom, $true).
fof(dt_k40_gate_1, axiom, $true).
fof(dt_k4_gate_1, axiom, $true).
fof(dt_k6_gate_1, axiom, $true).
fof(dt_k7_gate_1, axiom, $true).
fof(dt_k8_gate_1, axiom, $true).
fof(fc13_gate_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k6_gate_1(A, B))) ) ) ).
fof(fc14_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_xboole_0(k6_gate_1(A, B))) ) ).
fof(fc15_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  =>  ~ (v1_xboole_0(k7_gate_1(A, B))) ) ) ).
fof(fc16_gate_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k7_gate_1(A, B))) ) ).
fof(fc17_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k8_gate_1(A, B, C))) ) ) ).
fof(fc18_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(A, B, C))) ) ).
fof(fc19_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B, A, C))) ) ).
fof(fc1_gate_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k1_gate_1(A))) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_gate_1, axiom,  (! [A, B, C] :  (v1_xboole_0(A) => v1_xboole_0(k8_gate_1(B, C, A))) ) ).
fof(fc25_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc26_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(fc27_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, C, B))) ) ) ).
fof(fc28_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(C, A, B))) ) ) ).
fof(fc29_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc2_gate_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k1_gate_1(A))) ) ).
fof(fc30_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, C, B))) ) ).
fof(fc31_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(C, A, B))) ) ).
fof(fc32_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(fc33_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(A, B, C))) ) ) ).
fof(fc34_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(A, C, B))) ) ) ).
fof(fc35_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k11_gate_1(C, A, B))) ) ) ).
fof(fc36_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(A, B, C))) ) ).
fof(fc37_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(A, C, B))) ) ).
fof(fc38_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k11_gate_1(C, A, B))) ) ).
fof(fc3_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_gate_1(A, B))) ) ) ).
fof(fc4_gate_1, axiom,  (! [A, B] :  (v1_xboole_0(A) => v1_xboole_0(k2_gate_1(A, B))) ) ).
fof(fc7_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k4_gate_1(A, B))) ) ) ).
fof(fc8_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k4_gate_1(A, B))) ) ).
fof(fc9_gate_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_xboole_0(k4_gate_1(A, B))) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
