% Mizar problem: t5_gate_3,gate_3,448,13 
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) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_k14_gate_1,dt_k1_gate_1,t22_gate_1,t4_gate_1]),
    [file(gate_3,t5_gate_3)]).

fof(dt_k14_gate_1,axiom,(
    $true ),
    file(gate_1,k14_gate_1),
    []).

fof(dt_k1_gate_1,axiom,(
    $true ),
    file(gate_1,k1_gate_1),
    []).

fof(t22_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) ) ) ),
    file(gate_1,t22_gate_1),
    []).

fof(t4_gate_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_gate_1(A))
    <=> v1_xboole_0(A) ) ),
    file(gate_1,t4_gate_1),
    []).