% Mizar problem: t24_bvfunc24,bvfunc24,1448,24 
fof(t24_bvfunc24,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A)))
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => ! [E] : 
                      ( m1_eqrel_1(E,A)
                     => ! [F] : 
                          ( m1_eqrel_1(F,A)
                         => ! [G] : 
                              ( m1_eqrel_1(G,A)
                             => ! [H] : 
                                  ( m1_eqrel_1(H,A)
                                 => ! [I] : 
                                      ( m1_eqrel_1(I,A)
                                     => ! [J] : 
                                          ( m1_eqrel_1(J,A)
                                         => ! [K] : 
                                              ( m1_subset_1(K,A)
                                             => ! [L] : 
                                                  ( m1_subset_1(L,A)
                                                 => ~ ( v2_bvfunc_2(B,A)
                                                      & B = k6_enumset1(C,D,E,F,G,H,I,J)
                                                      & C != D
                                                      & C != E
                                                      & C != F
                                                      & C != G
                                                      & C != H
                                                      & C != I
                                                      & C != J
                                                      & D != E
                                                      & D != F
                                                      & D != G
                                                      & D != H
                                                      & D != I
                                                      & D != J
                                                      & E != F
                                                      & E != G
                                                      & E != H
                                                      & E != I
                                                      & E != J
                                                      & F != G
                                                      & F != H
                                                      & F != I
                                                      & F != J
                                                      & G != H
                                                      & G != I
                                                      & G != J
                                                      & H != I
                                                      & H != J
                                                      & I != J
                                                      & k5_subset_1(A,k22_bvfunc_1(A,L,k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,D,E),F),G),H),I),J)),k22_bvfunc_1(A,K,C)) = k1_xboole_0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_eqrel_1,cc2_eqrel_1,commutativity_k2_partit1,commutativity_k3_xboole_0,commutativity_k5_subset_1,d10_setfam_1,d1_setfam_1,d1_xboole_0,d3_tarski,d3_xboole_0,d5_bvfunc_2,d5_funct_1,d6_enumset1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_funct_4,dt_k1_partit1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_t_1topsp,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k22_bvfunc_1,dt_k2_partit1,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_k5_subset_1,dt_k6_enumset1,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_bvfunc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,existence_m1_bvfunc_1,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,idempotence_k1_funct_4,idempotence_k3_xboole_0,idempotence_k5_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k22_bvfunc_1,redefinition_k5_subset_1,redefinition_k6_setfam_1,redefinition_m1_bvfunc_1,reflexivity_r1_tarski,t15_bvfunc14,t1_bvfunc14,t1_subset,t21_bvfunc24,t22_bvfunc24,t23_bvfunc24,t2_boole,t2_subset,t3_subset,t3_yellow14,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(bvfunc24,t24_bvfunc24)]).

fof(antisymmetry_r2_hidden,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    []).

fof(cc1_eqrel_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(eqrel_1,cc1_eqrel_1),
    []).

fof(cc2_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => v1_setfam_1(B) ) ),
    file(eqrel_1,cc2_eqrel_1),
    []).

fof(commutativity_k2_partit1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => k2_partit1(A,B,C) = k2_partit1(A,C,B) ) ),
    file(partit1,k2_partit1),
    []).

fof(commutativity_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    []).

fof(commutativity_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ) ),
    file(subset_1,k5_subset_1),
    []).

fof(d10_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( B != k1_xboole_0
         => k8_setfam_1(A,B) = k6_setfam_1(A,B) )
        & ( B = k1_xboole_0
         => k8_setfam_1(A,B) = A ) ) ) ),
    file(setfam_1,d10_setfam_1),
    []).

fof(d1_setfam_1,axiom,(
    ! [A,B] : 
      ( ( A != k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ! [D] : 
                  ( r2_hidden(D,A)
                 => r2_hidden(C,D) ) ) ) )
      & ( A = k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> B = k1_xboole_0 ) ) ) ),
    file(setfam_1,d1_setfam_1),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

fof(d3_tarski,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    []).

fof(d3_xboole_0,axiom,(
    ! [A,B,C] : 
      ( C = k3_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d3_xboole_0),
    []).

fof(d5_bvfunc_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A)))
         => ( v2_bvfunc_2(B,A)
          <=> ! [C] : 
                ( ( v1_relat_1(C)
                  & v1_funct_1(C) )
               => ! [D] : 
                    ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A)))
                   => ~ ( k1_relat_1(C) = B
                        & k2_relat_1(C) = D
                        & ! [E] : 
                            ( r2_hidden(E,B)
                           => r2_hidden(k1_funct_1(C,E),E) )
                        & k8_setfam_1(A,D) = k1_xboole_0 ) ) ) ) ) ) ),
    file(bvfunc_2,d5_bvfunc_2),
    []).

fof(d5_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    []).

fof(d6_enumset1,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( I = k6_enumset1(A,B,C,D,E,F,G,H)
    <=> ! [J] : 
          ( r2_hidden(J,I)
        <=> ~ ( J != A
              & J != B
              & J != C
              & J != D
              & J != E
              & J != F
              & J != G
              & J != H ) ) ) ),
    file(enumset1,d6_enumset1),
    []).

fof(dt_k1_bvfunc_2,axiom,(
    ! [A] : 
      ( v1_t_1topsp(k1_bvfunc_2(A),A)
      & m1_t_1topsp(k1_bvfunc_2(A),A) ) ),
    file(bvfunc_2,k1_bvfunc_2),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k1_funct_4(A,B))
        & v1_funct_1(k1_funct_4(A,B)) ) ) ),
    file(funct_4,k1_funct_4),
    []).

fof(dt_k1_partit1,axiom,(
    $true ),
    file(partit1,k1_partit1),
    []).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

fof(dt_k1_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_1),
    []).

fof(dt_k1_t_1topsp,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_subset_1(k1_t_1topsp(A,B,C),k1_zfmisc_1(A)) ) ),
    file(t_1topsp,k1_t_1topsp),
    []).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k22_bvfunc_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_bvfunc_1(k22_bvfunc_1(A,B,C),A,C) ) ),
    file(bvfunc_1,k22_bvfunc_1),
    []).

fof(dt_k2_partit1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_eqrel_1(k2_partit1(A,B,C),A) ) ),
    file(partit1,k2_partit1),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(dt_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    []).

fof(dt_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    []).

fof(dt_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k5_subset_1),
    []).

fof(dt_k6_enumset1,axiom,(
    $true ),
    file(enumset1,k6_enumset1),
    []).

fof(dt_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(dt_k8_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k8_setfam_1),
    []).

fof(dt_m1_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ! [C] : 
          ( m1_bvfunc_1(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(A)) ) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    []).

fof(dt_m1_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,m1_eqrel_1),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_m1_t_1topsp,axiom,(
    $true ),
    file(t_1topsp,m1_t_1topsp),
    []).

fof(existence_m1_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ? [C] : m1_bvfunc_1(C,A,B) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    []).

fof(existence_m1_eqrel_1,axiom,(
    ! [A] : 
    ? [B] : m1_eqrel_1(B,A) ),
    file(eqrel_1,m1_eqrel_1),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m1_t_1topsp,axiom,(
    ! [A] : 
    ? [B] : m1_t_1topsp(B,A) ),
    file(t_1topsp,m1_t_1topsp),
    []).

fof(fc1_cqc_lang,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k3_cqc_lang(A,B))
      & v1_funct_1(k3_cqc_lang(A,B)) ) ),
    file(cqc_lang,fc1_cqc_lang),
    []).

fof(fc1_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    []).

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(idempotence_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => k1_funct_4(A,A) = A ) ),
    file(funct_4,k1_funct_4),
    []).

fof(idempotence_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    []).

fof(idempotence_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,B) = B ) ),
    file(subset_1,k5_subset_1),
    []).

fof(rc1_subset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    []).

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc2_subset_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    []).

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(redefinition_k1_bvfunc_2,axiom,(
    ! [A] : k1_bvfunc_2(A) = k1_partit1(A) ),
    file(bvfunc_2,k1_bvfunc_2),
    []).

fof(redefinition_k22_bvfunc_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => k22_bvfunc_1(A,B,C) = k1_t_1topsp(A,B,C) ) ),
    file(bvfunc_1,k22_bvfunc_1),
    []).

fof(redefinition_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,C) = k3_xboole_0(B,C) ) ),
    file(subset_1,k5_subset_1),
    []).

fof(redefinition_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k6_setfam_1(A,B) = k1_setfam_1(B) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(redefinition_m1_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ! [C] : 
          ( m1_bvfunc_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(t15_bvfunc14,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D,E] : 
          ( B != C
         => k1_funct_1(k1_funct_4(k1_funct_4(A,k3_cqc_lang(B,D)),k3_cqc_lang(C,E)),B) = D ) ) ),
    file(bvfunc14,t15_bvfunc14),
    []).

fof(t1_bvfunc14,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => k22_bvfunc_1(A,B,k2_partit1(A,C,D)) = k5_subset_1(A,k22_bvfunc_1(A,B,C),k22_bvfunc_1(A,B,D)) ) ) ) ) ),
    file(bvfunc14,t1_bvfunc14),
    []).

fof(t1_subset,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    []).

fof(t21_bvfunc24,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( v1_relat_1(I)
        & v1_funct_1(I) )
     => ! [J,K,L,M,N,O,P,Q] : 
          ( I = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,K),k3_cqc_lang(C,L)),k3_cqc_lang(D,M)),k3_cqc_lang(E,N)),k3_cqc_lang(F,O)),k3_cqc_lang(G,P)),k3_cqc_lang(H,Q)),k3_cqc_lang(A,J))
         => ( A = B
            | A = C
            | A = D
            | A = E
            | A = F
            | A = G
            | A = H
            | B = C
            | B = D
            | B = E
            | B = F
            | B = G
            | B = H
            | C = D
            | C = E
            | C = F
            | C = G
            | C = H
            | D = E
            | D = F
            | D = G
            | D = H
            | E = F
            | E = G
            | E = H
            | F = G
            | F = H
            | G = H
            | ( k1_funct_1(I,B) = K
              & k1_funct_1(I,C) = L
              & k1_funct_1(I,D) = M
              & k1_funct_1(I,E) = N
              & k1_funct_1(I,F) = O
              & k1_funct_1(I,G) = P ) ) ) ) ),
    file(bvfunc24,t21_bvfunc24),
    []).

fof(t22_bvfunc24,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( v1_relat_1(I)
        & v1_funct_1(I) )
     => ! [J,K,L,M,N,O,P,Q] : 
          ( I = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,K),k3_cqc_lang(C,L)),k3_cqc_lang(D,M)),k3_cqc_lang(E,N)),k3_cqc_lang(F,O)),k3_cqc_lang(G,P)),k3_cqc_lang(H,Q)),k3_cqc_lang(A,J))
         => k1_relat_1(I) = k6_enumset1(A,B,C,D,E,F,G,H) ) ) ),
    file(bvfunc24,t22_bvfunc24),
    []).

fof(t23_bvfunc24,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( v1_relat_1(I)
        & v1_funct_1(I) )
     => ! [J,K,L,M,N,O,P,Q] : 
          ( I = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,K),k3_cqc_lang(C,L)),k3_cqc_lang(D,M)),k3_cqc_lang(E,N)),k3_cqc_lang(F,O)),k3_cqc_lang(G,P)),k3_cqc_lang(H,Q)),k3_cqc_lang(A,J))
         => k2_relat_1(I) = k6_enumset1(k1_funct_1(I,A),k1_funct_1(I,B),k1_funct_1(I,C),k1_funct_1(I,D),k1_funct_1(I,E),k1_funct_1(I,F),k1_funct_1(I,G),k1_funct_1(I,H)) ) ) ),
    file(bvfunc24,t23_bvfunc24),
    []).

fof(t2_boole,axiom,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    []).

fof(t2_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    []).

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

fof(t3_yellow14,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : k1_funct_1(k1_funct_4(A,k3_cqc_lang(B,C)),B) = C ) ),
    file(yellow14,t3_yellow14),
    []).

fof(t4_subset,axiom,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    []).

fof(t5_subset,axiom,(
    ! [A,B,C] : ~ ( r2_hidden(A,B)
      & m1_subset_1(B,k1_zfmisc_1(C))
      & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    []).

fof(t6_boole,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    []).

fof(t7_boole,axiom,(
    ! [A,B] : ~ ( r2_hidden(A,B)
      & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    []).

fof(t8_boole,axiom,(
    ! [A,B] : ~ ( v1_xboole_0(A)
      & A != B
      & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    []).