% Mizar problem: t3_gate_5,gate_5,290,5 
fof(t3_gate_5, 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] :  ~ ( ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(k2_gate_1(A, D))) )  &  ( ~ ( ( ~ (v1_xboole_0(k2_gate_1(A, D)))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(Q))  & v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)))  & v1_xboole_0(Q)) )  &  ( ~ ( ( ~ (v1_xboole_0(O))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(O)) )  &  ( ~ ( ( ~ (v1_xboole_0(R))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F)))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, D), k2_gate_1(B, E), k2_gate_1(A, F))))  & v1_xboole_0(R)) )  &  ( ~ ( ( ~ (v1_xboole_0(P))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(P)) )  &  ( ~ ( ( ~ (v1_xboole_0(S))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, E), k2_gate_1(B, F), k1_xboole_0)))  & v1_xboole_0(S)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(O, Q, k1_xboole_0)))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(W))  & v1_xboole_0(k11_gate_1(O, Q, k1_xboole_0))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(O, Q, k1_xboole_0)))  & v1_xboole_0(W)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(k10_gate_1(P, R, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(P, R, W)))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(X))  & v1_xboole_0(k11_gate_1(P, R, W))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(P, R, W)))  & v1_xboole_0(X)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(k10_gate_1(k2_gate_1(C, F), S, X))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(k2_gate_1(C, F), S, X)))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(k11_gate_1(k2_gate_1(C, F), S, X))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_1(k2_gate_1(C, F), S, X)))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(M)) )  &  ( ~ ( ( ~ (v1_xboole_0(M))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(N)) )  &  ( ~ ( ( ~ (v1_xboole_0(N))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(T)) )  &  ( ~ ( ( ~ (v1_xboole_0(T))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(U)) )  &  ( ~ ( ( ~ (v1_xboole_0(U))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(V)) )  &  ( ~ ( ( ~ (v1_xboole_0(V))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(Y)) )  &  ( ~ ( ( ~ (v1_xboole_0(Y))  & v1_xboole_0(L)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(G))  & v1_xboole_0(k5_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k5_gate_5(A, B, C, D, E)))  & v1_xboole_0(G)) )  &  ( ~ ( ( ~ (v1_xboole_0(H))  & v1_xboole_0(k6_gate_5(A, B, C, D, E))) )  &  ( ~ ( ( ~ (v1_xboole_0(k6_gate_5(A, B, C, D, E)))  & v1_xboole_0(H)) )  &  ( ~ ( ( ~ (v1_xboole_0(I))  & v1_xboole_0(k10_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k10_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(I)) )  &  ( ~ ( ( ~ (v1_xboole_0(J))  & v1_xboole_0(k11_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k11_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(J)) )  &  ( ~ ( ( ~ (v1_xboole_0(K))  & v1_xboole_0(k12_gate_5(A, B, C, D, E, F))) )  &  ( ~ ( ( ~ (v1_xboole_0(k12_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(K)) )  &  ( ~ ( ( ~ (v1_xboole_0(L))  & v1_xboole_0(k13_gate_5(A, B, C, D, E, F))) )  &  ~ ( ( ~ (v1_xboole_0(k13_gate_5(A, B, C, D, E, F)))  & v1_xboole_0(L)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(commutativity_k2_gate_1, axiom,  (! [A, B] : k2_gate_1(A, B)=k2_gate_1(B, A)) ).
fof(d10_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k10_gate_5(A, B, C, D, E, F)=k10_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d11_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k11_gate_5(A, B, C, D, E, F)=k35_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d12_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k12_gate_5(A, B, C, D, E, F)=k37_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k9_gate_5(A, B, C, D, E), k2_gate_1(C, F), k1_xboole_0)) ) ) ) ) ) ).
fof(d13_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] : k13_gate_5(A, B, C, D, E, F)=k38_gate_1(k7_gate_5(A, B, C, D, E), k2_gate_1(A, F), k8_gate_5(A, B, C, D, E), k2_gate_1(B, F), k9_gate_5(A, B, C, D, E), k2_gate_1(C, F), 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(d5_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k5_gate_5(A, B, C, D, E)=k2_gate_1(A, D)) ) ) ) ) ).
fof(d6_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k6_gate_5(A, B, C, D, E)=k10_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k1_xboole_0)) ) ) ) ) ).
fof(d7_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k7_gate_5(A, B, C, D, E)=k35_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0)) ) ) ) ) ).
fof(d8_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k8_gate_5(A, B, C, D, E)=k37_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0, k2_gate_1(C, E), k1_xboole_0)) ) ) ) ) ).
fof(d9_gate_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k9_gate_5(A, B, C, D, E)=k38_gate_1(k2_gate_1(B, D), k2_gate_1(A, E), k2_gate_1(C, D), k2_gate_1(B, E), k1_xboole_0, k2_gate_1(C, E), k1_xboole_0)) ) ) ) ) ).
fof(dt_k10_gate_1, axiom, $true).
fof(dt_k10_gate_5, axiom, $true).
fof(dt_k11_gate_1, axiom, $true).
fof(dt_k11_gate_5, axiom, $true).
fof(dt_k12_gate_5, axiom, $true).
fof(dt_k13_gate_5, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k2_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_k5_gate_5, axiom, $true).
fof(dt_k6_gate_5, axiom, $true).
fof(dt_k7_gate_5, axiom, $true).
fof(dt_k8_gate_5, axiom, $true).
fof(dt_k9_gate_5, axiom, $true).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
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(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(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
