% Mizar problem: t13_conmetr,conmetr,1434,62 
fof(t13_conmetr,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ( ( v1_conmetr(A)
          & v1_conaffm(A) )
       => v2_conmetr(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_analoaf,antisymmetry_r2_hidden,cc1_analmetr,commutativity_k2_aff_1,d11_analmetr,d12_analmetr,d15_analmetr,d1_aff_1,d1_conaffm,d1_conmetr,d2_conmetr,d3_aff_1,d4_aff_1,dt_g1_analoaf,dt_k1_aff_1,dt_k1_zfmisc_1,dt_k2_aff_1,dt_k2_zfmisc_1,dt_k3_analmetr,dt_k4_analmetr,dt_l1_analmetr,dt_l1_analoaf,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_analoaf,dt_u1_struct_0,existence_l1_analmetr,existence_l1_analoaf,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc2_analmetr,fc3_analmetr,fc4_analmetr,free_g1_analoaf,rc2_analmetr,redefinition_k2_aff_1,redefinition_m2_relset_1,redefinition_r10_analmetr,redefinition_r11_analmetr,redefinition_r4_aff_1,reflexivity_r1_tarski,symmetry_r10_analmetr,symmetry_r11_analmetr,symmetry_r4_aff_1,t11_aff_1,t13_aff_1,t14_aff_1,t15_aff_1,t16_aff_1,t1_subset,t23_aff_1,t26_aff_1,t30_aff_1,t33_aff_1,t39_aff_1,t3_subset,t45_aff_1,t47_analmetr,t47_diraf,t48_analmetr,t4_subset,t51_analmetr,t52_aff_1,t53_aff_1,t54_aff_1,t55_aff_1,t55_analmetr,t57_analmetr,t58_analmetr,t64_analmetr,t73_aff_1,t73_analmetr,t74_analmetr,t77_analmetr,t78_analmetr,t81_analmetr,t82_analmetr,t84_analmetr,t85_analmetr]),
    [file(conmetr,t13_conmetr)]).

fof(abstractness_v1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => ( v1_analoaf(A)
       => A = g1_analoaf(u1_struct_0(A),u1_analoaf(A)) ) ) ),
    file(analoaf,v1_analoaf),
    []).

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

fof(cc1_analmetr,axiom,(
    ! [A] : 
      ( l1_analmetr(A)
     => ( ( ~ v3_struct_0(A)
          & v3_analmetr(A) )
       => ( ~ v3_struct_0(A)
          & v2_analmetr(A) ) ) ) ),
    file(analmetr,cc1_analmetr),
    []).

fof(commutativity_k2_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k2_aff_1(A,B,C) = k2_aff_1(A,C,B) ) ),
    file(aff_1,k2_aff_1),
    []).

fof(d11_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r6_analmetr(A,B,C,D)
                  <=> r4_analmetr(A,B,C,B,D) ) ) ) ) ) ),
    file(analmetr,d11_analmetr),
    []).

fof(d12_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ( D = k4_analmetr(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( r2_hidden(E,D)
                        <=> r6_analmetr(A,B,C,E) ) ) ) ) ) ) ) ),
    file(analmetr,d12_analmetr),
    []).

fof(d15_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( r8_analmetr(A,B,C)
              <=> ? [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                    & ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & D != E
                        & B = k4_analmetr(A,D,E)
                        & r7_analmetr(A,D,E,C) ) ) ) ) ) ) ),
    file(analmetr,d15_analmetr),
    []).

fof(d1_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_aff_1(A,B,C,D)
                  <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) ),
    file(aff_1,d1_aff_1),
    []).

fof(d1_conaffm,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ( v1_conaffm(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ( ( r6_analmetr(A,B,C,D)
                                        & r6_analmetr(A,B,E,F)
                                        & r6_analmetr(A,B,G,H)
                                        & r4_analmetr(A,C,E,D,F)
                                        & r4_analmetr(A,C,G,D,H) )
                                     => ( B = C
                                        | B = D
                                        | B = E
                                        | B = F
                                        | B = G
                                        | B = H
                                        | r6_analmetr(A,E,F,C)
                                        | r6_analmetr(A,C,D,G)
                                        | r4_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) ),
    file(conaffm,d1_conaffm),
    []).

fof(d1_conmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ( v1_conmetr(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ! [I] : 
                                        ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A)))
                                       => ! [J] : 
                                            ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A)))
                                           => ( ( r2_hidden(B,I)
                                                & r2_hidden(C,I)
                                                & r2_hidden(D,I)
                                                & r2_hidden(E,I)
                                                & r2_hidden(B,J)
                                                & r2_hidden(F,J)
                                                & r2_hidden(G,J)
                                                & r2_hidden(H,J)
                                                & r11_analmetr(A,I,J)
                                                & r4_analmetr(A,E,G,D,F)
                                                & r4_analmetr(A,E,H,C,F) )
                                             => ( r2_hidden(G,I)
                                                | r2_hidden(E,J)
                                                | B = C
                                                | B = D
                                                | B = E
                                                | B = F
                                                | B = G
                                                | B = H
                                                | r4_analmetr(A,C,G,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(conmetr,d1_conmetr),
    []).

fof(d2_conmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ( v2_conmetr(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ! [I] : 
                                        ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(A)))
                                       => ! [J] : 
                                            ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(A)))
                                           => ( ( v4_analmetr(I,A)
                                                & v4_analmetr(J,A)
                                                & r2_hidden(B,I)
                                                & r2_hidden(C,I)
                                                & r2_hidden(D,I)
                                                & r2_hidden(E,I)
                                                & r2_hidden(B,J)
                                                & r2_hidden(F,J)
                                                & r2_hidden(G,J)
                                                & r2_hidden(H,J)
                                                & r4_analmetr(A,E,G,D,F)
                                                & r4_analmetr(A,E,H,C,F) )
                                             => ( r2_hidden(G,I)
                                                | r2_hidden(E,J)
                                                | B = C
                                                | B = D
                                                | B = E
                                                | B = F
                                                | B = G
                                                | B = H
                                                | r4_analmetr(A,C,G,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(conmetr,d2_conmetr),
    []).

fof(d3_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_aff_1(B,A)
          <=> ? [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
                & ? [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                    & C != D
                    & B = k2_aff_1(A,C,D) ) ) ) ) ) ),
    file(aff_1,d3_aff_1),
    []).

fof(d4_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ( r2_aff_1(A,B,C,D)
                  <=> ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & ? [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                            & E != F
                            & D = k2_aff_1(A,E,F)
                            & r2_analoaf(A,B,C,E,F) ) ) ) ) ) ) ) ),
    file(aff_1,d4_aff_1),
    []).

fof(dt_g1_analoaf,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A))
     => ( v1_analoaf(g1_analoaf(A,B))
        & l1_analoaf(g1_analoaf(A,B)) ) ) ),
    file(analoaf,g1_analoaf),
    []).

fof(dt_k1_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k1_aff_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(aff_1,k1_aff_1),
    []).

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

fof(dt_k2_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_aff_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(aff_1,k2_aff_1),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ( v1_analoaf(k3_analmetr(A))
        & l1_analoaf(k3_analmetr(A)) ) ) ),
    file(analmetr,k3_analmetr),
    []).

fof(dt_k4_analmetr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_analmetr(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(analmetr,k4_analmetr),
    []).

fof(dt_l1_analmetr,axiom,(
    ! [A] : 
      ( l1_analmetr(A)
     => l1_analoaf(A) ) ),
    file(analmetr,l1_analmetr),
    []).

fof(dt_l1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => l1_struct_0(A) ) ),
    file(analoaf,l1_analoaf),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    []).

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

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_u1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => m2_relset_1(u1_analoaf(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ),
    file(analoaf,u1_analoaf),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_analmetr,axiom,(
    ? [A] : l1_analmetr(A) ),
    file(analmetr,l1_analmetr),
    []).

fof(existence_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    []).

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

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(fc2_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ( ~ v3_struct_0(k3_analmetr(A))
        & v1_analoaf(k3_analmetr(A)) ) ) ),
    file(analmetr,fc2_analmetr),
    []).

fof(fc3_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ( ~ v3_struct_0(k3_analmetr(A))
        & ~ v3_realset2(k3_analmetr(A))
        & v1_analoaf(k3_analmetr(A))
        & v1_diraf(k3_analmetr(A)) ) ) ),
    file(analmetr,fc3_analmetr),
    []).

fof(fc4_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ( ~ v3_struct_0(k3_analmetr(A))
        & ~ v3_realset2(k3_analmetr(A))
        & v1_analoaf(k3_analmetr(A))
        & v1_diraf(k3_analmetr(A))
        & v2_diraf(k3_analmetr(A)) ) ) ),
    file(analmetr,fc4_analmetr),
    []).

fof(free_g1_analoaf,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A))
     => ! [C,D] : 
          ( g1_analoaf(A,B) = g1_analoaf(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(analoaf,g1_analoaf),
    []).

fof(rc2_analmetr,axiom,(
    ? [A] : 
      ( l1_analmetr(A)
      & ~ v3_struct_0(A) ) ),
    file(analmetr,rc2_analmetr),
    []).

fof(redefinition_k2_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k2_aff_1(A,B,C) = k1_aff_1(A,B,C) ) ),
    file(aff_1,k2_aff_1),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(redefinition_r10_analmetr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r10_analmetr(A,B,C)
      <=> r9_analmetr(A,B,C) ) ) ),
    file(analmetr,r10_analmetr),
    []).

fof(redefinition_r11_analmetr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r11_analmetr(A,B,C)
      <=> r8_analmetr(A,B,C) ) ) ),
    file(analmetr,r11_analmetr),
    []).

fof(redefinition_r4_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r4_aff_1(A,B,C)
      <=> r3_aff_1(A,B,C) ) ) ),
    file(aff_1,r4_aff_1),
    []).

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

fof(symmetry_r10_analmetr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r10_analmetr(A,B,C)
       => r10_analmetr(A,C,B) ) ) ),
    file(analmetr,r10_analmetr),
    []).

fof(symmetry_r11_analmetr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r11_analmetr(A,B,C)
       => r11_analmetr(A,C,B) ) ) ),
    file(analmetr,r11_analmetr),
    []).

fof(symmetry_r4_aff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => ( r4_aff_1(A,B,C)
       => r4_aff_1(A,C,B) ) ) ),
    file(aff_1,r4_aff_1),
    []).

fof(t11_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_analoaf(A,B,C,C,B)
                & r2_analoaf(A,B,C,B,C) ) ) ) ) ),
    file(aff_1,t11_aff_1),
    []).

fof(t13_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( r2_analoaf(A,B,C,D,E)
                       => ( r2_analoaf(A,B,C,E,D)
                          & r2_analoaf(A,C,B,D,E)
                          & r2_analoaf(A,C,B,E,D)
                          & r2_analoaf(A,D,E,B,C)
                          & r2_analoaf(A,D,E,C,B)
                          & r2_analoaf(A,E,D,B,C)
                          & r2_analoaf(A,E,D,C,B) ) ) ) ) ) ) ) ),
    file(aff_1,t13_aff_1),
    []).

fof(t14_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ~ ( B != C
                                  & ~ ( ~ ( r2_analoaf(A,B,C,D,E)
                                          & r2_analoaf(A,B,C,F,G) )
                                      & ~ ( r2_analoaf(A,B,C,D,E)
                                          & r2_analoaf(A,F,G,B,C) )
                                      & ~ ( r2_analoaf(A,D,E,B,C)
                                          & r2_analoaf(A,F,G,B,C) )
                                      & ~ ( r2_analoaf(A,D,E,B,C)
                                          & r2_analoaf(A,B,C,F,G) ) )
                                  & ~ r2_analoaf(A,D,E,F,G) ) ) ) ) ) ) ) ) ),
    file(aff_1,t14_aff_1),
    []).

fof(t15_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_aff_1(A,B,C,D)
                   => ( r1_aff_1(A,B,D,C)
                      & r1_aff_1(A,C,B,D)
                      & r1_aff_1(A,C,D,B)
                      & r1_aff_1(A,D,B,C)
                      & r1_aff_1(A,D,C,B) ) ) ) ) ) ) ),
    file(aff_1,t15_aff_1),
    []).

fof(t16_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_aff_1(A,B,B,C)
                & r1_aff_1(A,B,C,C)
                & r1_aff_1(A,B,C,B) ) ) ) ) ),
    file(aff_1,t16_aff_1),
    []).

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

fof(t23_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( ( r1_aff_1(A,B,D,E)
                          & r2_analoaf(A,C,D,C,E) )
                       => ( r1_aff_1(A,B,C,D)
                          | D = E ) ) ) ) ) ) ) ),
    file(aff_1,t23_aff_1),
    []).

fof(t26_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(B,k2_aff_1(A,B,C))
                & r2_hidden(C,k2_aff_1(A,B,C)) ) ) ) ) ),
    file(aff_1,t26_aff_1),
    []).

fof(t30_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                     => ~ ( v1_aff_1(D,A)
                          & v1_aff_1(E,A)
                          & r2_hidden(B,D)
                          & r2_hidden(C,D)
                          & r2_hidden(B,E)
                          & r2_hidden(C,E)
                          & B != C
                          & D != E ) ) ) ) ) ) ),
    file(aff_1,t30_aff_1),
    []).

fof(t33_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_aff_1(A,B,C,D)
                  <=> ? [E] : 
                        ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                        & v1_aff_1(E,A)
                        & r2_hidden(B,E)
                        & r2_hidden(C,E)
                        & r2_hidden(D,E) ) ) ) ) ) ) ),
    file(aff_1,t33_aff_1),
    []).

fof(t39_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                     => ( ( v1_aff_1(E,A)
                          & r2_hidden(B,E)
                          & r2_hidden(C,E)
                          & r1_aff_1(A,B,C,D) )
                       => ( B = C
                          | r2_hidden(D,E) ) ) ) ) ) ) ) ),
    file(aff_1,t39_aff_1),
    []).

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

fof(t45_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))
                         => ( ( v1_aff_1(F,A)
                              & r2_aff_1(A,B,C,F)
                              & r2_aff_1(A,D,E,F) )
                           => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ),
    file(aff_1,t45_aff_1),
    []).

fof(t47_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
        <=> m1_subset_1(B,u1_struct_0(k3_analmetr(A))) ) ) ),
    file(analmetr,t47_analmetr),
    []).

fof(t47_diraf,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ( ~ ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => B = C ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ( r2_analoaf(A,B,C,C,B)
                                  & r2_analoaf(A,B,C,D,D)
                                  & ( ( r2_analoaf(A,B,C,D,E)
                                      & r2_analoaf(A,B,C,F,G) )
                                   => ( B = C
                                      | r2_analoaf(A,D,E,F,G) ) )
                                  & ( r2_analoaf(A,B,C,B,D)
                                   => r2_analoaf(A,C,B,C,D) ) ) ) ) ) ) ) )
        & ~ ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => r2_analoaf(A,B,C,B,D) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r2_analoaf(A,B,D,C,E)
                        & C != E ) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r2_analoaf(A,B,C,D,E)
                        & r2_analoaf(A,B,D,C,E) ) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ~ ( r2_analoaf(A,D,B,B,E)
                            & B != D
                            & ! [F] : 
                                ( m1_subset_1(F,u1_struct_0(A))
                               => ~ ( r2_analoaf(A,C,B,B,F)
                                    & r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ),
    file(diraf,t47_diraf),
    []).

fof(t48_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k3_analmetr(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k3_analmetr(A)))
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k3_analmetr(A)))
                                 => ! [I] : 
                                      ( m1_subset_1(I,u1_struct_0(k3_analmetr(A)))
                                     => ( ( B = F
                                          & C = G
                                          & D = H
                                          & E = I )
                                       => ( r4_analmetr(A,B,C,D,E)
                                        <=> r2_analoaf(k3_analmetr(A),F,G,H,I) ) ) ) ) ) ) ) ) ) ) ) ),
    file(analmetr,t48_analmetr),
    []).

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(t51_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ( v3_analmetr(A)
      <=> ( ~ ! [B] : 
                ( m1_subset_1(B,u1_struct_0(A))
               => ! [C] : 
                    ( m1_subset_1(C,u1_struct_0(A))
                   => B = C ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ! [E] : 
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ! [G] : 
                                  ( m1_subset_1(G,u1_struct_0(A))
                                 => ! [H] : 
                                      ( m1_subset_1(H,u1_struct_0(A))
                                     => ! [I] : 
                                          ( m1_subset_1(I,u1_struct_0(A))
                                         => ( r4_analmetr(A,B,C,C,B)
                                            & r4_analmetr(A,B,C,D,D)
                                            & ~ ( r4_analmetr(A,B,C,F,G)
                                                & r4_analmetr(A,B,C,H,I)
                                                & ~ r4_analmetr(A,F,G,H,I)
                                                & B != C )
                                            & ( r4_analmetr(A,B,C,B,D)
                                             => r4_analmetr(A,C,B,C,D) )
                                            & ? [J] : 
                                                ( m1_subset_1(J,u1_struct_0(A))
                                                & r4_analmetr(A,B,C,D,J)
                                                & r4_analmetr(A,B,D,C,J) )
                                            & ~ ! [J] : 
                                                  ( m1_subset_1(J,u1_struct_0(A))
                                                 => ! [K] : 
                                                      ( m1_subset_1(K,u1_struct_0(A))
                                                     => ! [L] : 
                                                          ( m1_subset_1(L,u1_struct_0(A))
                                                         => r4_analmetr(A,J,K,J,L) ) ) )
                                            & ? [J] : 
                                                ( m1_subset_1(J,u1_struct_0(A))
                                                & r4_analmetr(A,B,C,D,J)
                                                & D != J )
                                            & ~ ( r4_analmetr(A,B,C,C,E)
                                                & C != B
                                                & ! [J] : 
                                                    ( m1_subset_1(J,u1_struct_0(A))
                                                   => ~ ( r4_analmetr(A,D,C,C,J)
                                                        & r4_analmetr(A,D,B,E,J) ) ) )
                                            & ( r5_analmetr(A,B,C,B,C)
                                             => B = C )
                                            & r5_analmetr(A,B,C,D,D)
                                            & ( r5_analmetr(A,B,C,D,E)
                                             => ( r5_analmetr(A,B,C,E,D)
                                                & r5_analmetr(A,D,E,B,C) ) )
                                            & ~ ( r5_analmetr(A,B,C,F,G)
                                                & r4_analmetr(A,B,C,H,I)
                                                & ~ r5_analmetr(A,F,G,H,I)
                                                & B != C )
                                            & ~ ( r5_analmetr(A,B,C,F,G)
                                                & r5_analmetr(A,B,C,H,I)
                                                & ~ r4_analmetr(A,F,G,H,I)
                                                & B != C )
                                            & ? [J] : 
                                                ( m1_subset_1(J,u1_struct_0(A))
                                                & r5_analmetr(A,B,C,D,J)
                                                & D != J )
                                            & ~ ( ~ r4_analmetr(A,B,C,D,E)
                                                & ! [J] : 
                                                    ( m1_subset_1(J,u1_struct_0(A))
                                                   => ~ ( r4_analmetr(A,B,C,B,J)
                                                        & r4_analmetr(A,D,E,D,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(analmetr,t51_analmetr),
    []).

fof(t52_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A)))
                             => ( ( v1_aff_1(F,A)
                                  & v1_aff_1(G,A)
                                  & r2_hidden(B,F)
                                  & r2_hidden(C,F)
                                  & r2_hidden(D,G)
                                  & r2_hidden(E,G) )
                               => ( B = C
                                  | D = E
                                  | ( r3_aff_1(A,F,G)
                                  <=> r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ) ) ) ),
    file(aff_1,t52_aff_1),
    []).

fof(t53_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A)))
                             => ( ( r2_hidden(B,F)
                                  & r2_hidden(C,F)
                                  & r2_hidden(D,G)
                                  & r2_hidden(E,G)
                                  & r3_aff_1(A,F,G) )
                               => r2_analoaf(A,B,C,D,E) ) ) ) ) ) ) ) ) ),
    file(aff_1,t53_aff_1),
    []).

fof(t54_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                     => ( ( r2_hidden(B,D)
                          & r2_hidden(C,D)
                          & r3_aff_1(A,D,E) )
                       => r2_aff_1(A,B,C,E) ) ) ) ) ) ) ),
    file(aff_1,t54_aff_1),
    []).

fof(t55_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_aff_1(B,A)
           => r3_aff_1(A,B,B) ) ) ) ),
    file(aff_1,t55_aff_1),
    []).

fof(t55_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k3_analmetr(A)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k3_analmetr(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k3_analmetr(A)))
                             => ( ( B = E
                                  & C = F
                                  & D = G )
                               => ( r6_analmetr(A,B,C,D)
                                <=> r1_aff_1(k3_analmetr(A),E,F,G) ) ) ) ) ) ) ) ) ) ),
    file(analmetr,t55_analmetr),
    []).

fof(t57_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        <=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_analmetr(A)))) ) ) ),
    file(analmetr,t57_analmetr),
    []).

fof(t58_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_analmetr(A))))
             => ( B = C
               => ( v4_analmetr(B,A)
                <=> v1_aff_1(C,k3_analmetr(A)) ) ) ) ) ) ),
    file(analmetr,t58_analmetr),
    []).

fof(t64_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_analmetr(A))))
                 => ! [E] : 
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_analmetr(A))))
                     => ( ( B = D
                          & C = E )
                       => ( r9_analmetr(A,B,C)
                        <=> r4_aff_1(k3_analmetr(A),D,E) ) ) ) ) ) ) ) ),
    file(analmetr,t64_analmetr),
    []).

fof(t73_aff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & v2_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ~ ( v1_aff_1(D,A)
                      & ~ r2_aff_1(A,B,C,D)
                      & ! [E] : 
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ~ ( r2_hidden(E,D)
                              & r1_aff_1(A,B,C,E) ) ) ) ) ) ) ) ),
    file(aff_1,t73_aff_1),
    []).

fof(t73_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ~ ( ( r11_analmetr(A,B,C)
                        | r11_analmetr(A,C,B) )
                      & ( r10_analmetr(A,B,D)
                        | r10_analmetr(A,D,B) )
                      & ~ ( r11_analmetr(A,C,D)
                          & r11_analmetr(A,D,C) ) ) ) ) ) ) ),
    file(analmetr,t73_analmetr),
    []).

fof(t74_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ~ ( r10_analmetr(A,B,C)
                  & r11_analmetr(A,B,C) ) ) ) ) ),
    file(analmetr,t74_analmetr),
    []).

fof(t77_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ( ( r2_hidden(C,B)
                              & r2_hidden(D,B)
                              & v4_analmetr(B,A) )
                           => ( C = D
                              | ( ~ r5_analmetr(A,C,D,E,F)
                                & ~ r5_analmetr(A,E,F,C,D) )
                              | r7_analmetr(A,E,F,B) ) ) ) ) ) ) ) ) ),
    file(analmetr,t77_analmetr),
    []).

fof(t78_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ( ( r2_hidden(D,B)
                                  & r2_hidden(E,B)
                                  & r2_hidden(F,C)
                                  & r2_hidden(G,C)
                                  & r11_analmetr(A,B,C) )
                               => r5_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ),
    file(analmetr,t78_analmetr),
    []).

fof(t81_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( r4_analmetr(A,B,C,D,E)
                       => ( r4_analmetr(A,B,C,E,D)
                          & r4_analmetr(A,C,B,D,E)
                          & r4_analmetr(A,C,B,E,D)
                          & r4_analmetr(A,D,E,B,C)
                          & r4_analmetr(A,D,E,C,B)
                          & r4_analmetr(A,E,D,B,C)
                          & r4_analmetr(A,E,D,C,B) ) ) ) ) ) ) ) ),
    file(analmetr,t81_analmetr),
    []).

fof(t82_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ~ ( B != C
                                  & ~ ( ~ ( r4_analmetr(A,B,C,D,E)
                                          & r4_analmetr(A,B,C,F,G) )
                                      & ~ ( r4_analmetr(A,B,C,D,E)
                                          & r4_analmetr(A,F,G,B,C) )
                                      & ~ ( r4_analmetr(A,D,E,B,C)
                                          & r4_analmetr(A,F,G,B,C) )
                                      & ~ ( r4_analmetr(A,D,E,B,C)
                                          & r4_analmetr(A,B,C,F,G) ) )
                                  & ~ r4_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ),
    file(analmetr,t82_analmetr),
    []).

fof(t84_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ~ ( B != C
                                  & ~ ( ~ ( r4_analmetr(A,B,C,D,E)
                                          & r5_analmetr(A,B,C,F,G) )
                                      & ~ ( r4_analmetr(A,B,C,F,G)
                                          & r5_analmetr(A,B,C,D,E) )
                                      & ~ ( r4_analmetr(A,B,C,D,E)
                                          & r5_analmetr(A,F,G,B,C) )
                                      & ~ ( r4_analmetr(A,B,C,F,G)
                                          & r5_analmetr(A,D,E,B,C) )
                                      & ~ ( r4_analmetr(A,D,E,B,C)
                                          & r5_analmetr(A,F,G,B,C) )
                                      & ~ ( r4_analmetr(A,F,G,B,C)
                                          & r5_analmetr(A,D,E,B,C) )
                                      & ~ ( r4_analmetr(A,D,E,B,C)
                                          & r5_analmetr(A,B,C,F,G) )
                                      & ~ ( r4_analmetr(A,F,G,B,C)
                                          & r5_analmetr(A,B,C,D,E) ) )
                                  & ~ r5_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ),
    file(analmetr,t84_analmetr),
    []).

fof(t85_analmetr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_analmetr(A)
        & l1_analmetr(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ~ ( B != C
                                  & ~ ( ~ ( r5_analmetr(A,B,C,D,E)
                                          & r5_analmetr(A,B,C,F,G) )
                                      & ~ ( r5_analmetr(A,B,C,D,E)
                                          & r5_analmetr(A,F,G,B,C) )
                                      & ~ ( r5_analmetr(A,D,E,B,C)
                                          & r5_analmetr(A,F,G,B,C) )
                                      & ~ ( r5_analmetr(A,D,E,B,C)
                                          & r5_analmetr(A,B,C,F,G) ) )
                                  & ~ r4_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ),
    file(analmetr,t85_analmetr),
    []).