% Mizar problem: t21_conlat_2,conlat_2,3120,71 
fof(t21_conlat_2,conjecture,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v3_lattices,abstractness_v4_conlat_1,abstractness_v6_conlat_1,antisymmetry_r2_hidden,cc1_funct_2,cc1_lattices,cc1_relset_1,cc2_conlat_1,cc2_lattices,cc3_lattices,cc4_lattices,cc5_funct_2,cc6_funct_2,d10_xboole_0,d11_conlat_1,d13_conlat_1,d1_funct_2,d23_conlat_1,d24_conlat_1,d2_lattice2,d2_lattice4,d3_lattice4,d3_tarski,d4_lattice4,d5_funct_1,d7_conlat_2,d8_conlat_2,d8_funct_1,d9_conlat_2,dt_g2_conlat_1,dt_g3_conlat_1,dt_g3_lattices,dt_k10_conlat_1,dt_k10_conlat_2,dt_k11_conlat_1,dt_k12_conlat_1,dt_k1_conlat_1,dt_k1_funct_1,dt_k1_lattice2,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_conlat_1,dt_k2_relat_1,dt_k2_zfmisc_1,dt_k4_relat_1,dt_k4_relset_1,dt_k5_relset_1,dt_k6_relset_1,dt_k7_conlat_1,dt_k7_conlat_2,dt_k8_conlat_1,dt_k8_conlat_2,dt_k8_funct_2,dt_k9_conlat_1,dt_k9_conlat_2,dt_l1_conlat_1,dt_l1_lattices,dt_l1_struct_0,dt_l2_conlat_1,dt_l2_lattices,dt_l3_conlat_1,dt_l3_lattices,dt_m1_conlat_1,dt_m1_lattice4,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_conlat_1,dt_u1_lattices,dt_u1_struct_0,dt_u2_conlat_1,dt_u2_lattices,dt_u3_conlat_1,dt_u4_conlat_1,dt_u5_conlat_1,existence_l1_conlat_1,existence_l1_lattices,existence_l1_struct_0,existence_l2_conlat_1,existence_l2_lattices,existence_l3_conlat_1,existence_l3_lattices,existence_m1_conlat_1,existence_m1_lattice4,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc1_conlat_1,fc1_conlat_2,fc1_lattice2,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_conlat_1,fc2_conlat_2,fc2_lattice2,fc3_conlat_1,fc3_lattice2,fc3_lattices,fc4_conlat_1,fc4_lattice2,fc4_subset_1,fc5_conlat_1,fc5_lattice2,fc6_lattice2,free_g2_conlat_1,free_g3_conlat_1,free_g3_lattices,involutiveness_k4_relat_1,involutiveness_k6_relset_1,rc10_conlat_1,rc11_conlat_1,rc11_lattices,rc12_conlat_1,rc13_conlat_1,rc14_conlat_1,rc1_funct_2,rc1_partfun1,rc1_subset_1,rc1_xboole_0,rc2_partfun1,rc2_subset_1,rc2_xboole_0,rc3_lattices,rc3_struct_0,rc5_conlat_1,rc5_struct_0,rc6_lattices,rc7_conlat_1,rc8_conlat_1,rc9_conlat_1,rc9_lattices,redefinition_k4_relset_1,redefinition_k5_relset_1,redefinition_k6_relset_1,redefinition_k8_conlat_1,redefinition_k8_funct_2,redefinition_k9_conlat_2,redefinition_m2_relset_1,reflexivity_r1_tarski,t18_conlat_2,t19_conlat_2,t1_subset,t2_subset,t35_conlat_1,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(conlat_2,t21_conlat_2)]).

fof(abstractness_v3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( v3_lattices(A)
       => A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ),
    file(lattices,v3_lattices),
    []).

fof(abstractness_v4_conlat_1,axiom,(
    ! [A] : 
      ( l2_conlat_1(A)
     => ( v4_conlat_1(A)
       => A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ) ),
    file(conlat_1,v4_conlat_1),
    []).

fof(abstractness_v6_conlat_1,axiom,(
    ! [A,B] : 
      ( ( l1_conlat_1(A)
        & l3_conlat_1(B,A) )
     => ( v6_conlat_1(B,A)
       => B = g3_conlat_1(A,u4_conlat_1(A,B),u5_conlat_1(A,B)) ) ) ),
    file(conlat_1,v6_conlat_1),
    []).

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

fof(cc1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

fof(cc1_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v6_lattices(A)
          & v7_lattices(A)
          & v8_lattices(A)
          & v9_lattices(A) ) ) ) ),
    file(lattices,cc1_lattices),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc2_conlat_1,axiom,(
    ! [A] : 
      ( ( v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ! [B] : 
          ( l3_conlat_1(B,A)
         => v8_conlat_1(B,A) ) ) ),
    file(conlat_1,cc2_conlat_1),
    []).

fof(cc2_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v6_lattices(A)
          & v7_lattices(A)
          & v8_lattices(A)
          & v9_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v10_lattices(A) ) ) ) ),
    file(lattices,cc2_lattices),
    []).

fof(cc3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v13_lattices(A)
          & v14_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v15_lattices(A) ) ) ) ),
    file(lattices,cc3_lattices),
    []).

fof(cc4_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v15_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v13_lattices(A)
          & v14_lattices(A) ) ) ) ),
    file(lattices,cc4_lattices),
    []).

fof(cc5_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

fof(cc6_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & ~ v1_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

fof(d10_xboole_0,axiom,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    []).

fof(d11_conlat_1,axiom,(
    ! [A] : 
      ( l1_conlat_1(A)
     => ! [B] : 
          ( l3_conlat_1(B,A)
         => ( v7_conlat_1(B,A)
          <=> ( v1_xboole_0(u4_conlat_1(A,B))
              & v1_xboole_0(u5_conlat_1(A,B)) ) ) ) ) ),
    file(conlat_1,d11_conlat_1),
    []).

fof(d13_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( l3_conlat_1(B,A)
         => ( v9_conlat_1(B,A)
          <=> ( k8_funct_2(k1_zfmisc_1(u1_conlat_1(A)),k1_zfmisc_1(u2_conlat_1(A)),k1_conlat_1(A),u4_conlat_1(A,B)) = u5_conlat_1(A,B)
              & k8_funct_2(k1_zfmisc_1(u2_conlat_1(A)),k1_zfmisc_1(u1_conlat_1(A)),k2_conlat_1(A),u5_conlat_1(A,B)) = u4_conlat_1(A,B) ) ) ) ) ),
    file(conlat_1,d13_conlat_1),
    []).

fof(d1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    []).

fof(d23_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => k11_conlat_1(A) = g3_lattices(k8_conlat_1(A),k10_conlat_1(A),k9_conlat_1(A)) ) ),
    file(conlat_1,d23_conlat_1),
    []).

fof(d24_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k11_conlat_1(A)))
         => k12_conlat_1(A,B) = B ) ) ),
    file(conlat_1,d24_conlat_1),
    []).

fof(d2_lattice2,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) ),
    file(lattice2,d2_lattice2),
    []).

fof(d2_lattice4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v10_lattices(B)
            & l3_lattices(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v1_lattice4(C,A,B)
              <=> v2_funct_1(C) ) ) ) ) ),
    file(lattice4,d2_lattice4),
    []).

fof(d3_lattice4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v10_lattices(B)
            & l3_lattices(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v2_lattice4(C,A,B)
              <=> k2_relat_1(C) = u1_struct_0(B) ) ) ) ) ),
    file(lattice4,d3_lattice4),
    []).

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

fof(d4_lattice4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v10_lattices(B)
            & l3_lattices(B) )
         => ! [C] : 
              ( m1_lattice4(C,A,B)
             => ( v3_lattice4(C,A,B)
              <=> ( v1_lattice4(C,A,B)
                  & v2_lattice4(C,A,B) ) ) ) ) ) ),
    file(lattice4,d4_lattice4),
    []).

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(d7_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))) ) ),
    file(conlat_2,d7_conlat_2),
    []).

fof(d8_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( l3_conlat_1(B,A)
         => ! [C] : 
              ( ( v6_conlat_1(C,k7_conlat_2(A))
                & l3_conlat_1(C,k7_conlat_2(A)) )
             => ( C = k8_conlat_2(A,B)
              <=> ( u4_conlat_1(k7_conlat_2(A),C) = u5_conlat_1(A,B)
                  & u5_conlat_1(k7_conlat_2(A),C) = u4_conlat_1(A,B) ) ) ) ) ) ),
    file(conlat_2,d8_conlat_2),
    []).

fof(d8_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v2_funct_1(A)
      <=> ! [B,C] : 
            ( ( r2_hidden(B,k1_relat_1(A))
              & r2_hidden(C,k1_relat_1(A))
              & k1_funct_1(A,B) = k1_funct_1(A,C) )
           => B = C ) ) ) ),
    file(funct_1,d8_funct_1),
    []).

fof(d9_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( m1_lattice4(B,k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A)))
         => ( B = k10_conlat_2(A)
          <=> ! [C] : 
                ( ( v6_conlat_1(C,A)
                  & ~ v7_conlat_1(C,A)
                  & v9_conlat_1(C,A)
                  & l3_conlat_1(C,A) )
               => k1_funct_1(B,C) = k9_conlat_2(A,C) ) ) ) ) ),
    file(conlat_2,d9_conlat_2),
    []).

fof(dt_g2_conlat_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( v4_conlat_1(g2_conlat_1(A,B,C))
        & l2_conlat_1(g2_conlat_1(A,B,C)) ) ) ),
    file(conlat_1,g2_conlat_1),
    []).

fof(dt_g3_conlat_1,axiom,(
    ! [A,B,C] : 
      ( ( l1_conlat_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A)))
        & m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) )
     => ( v6_conlat_1(g3_conlat_1(A,B,C),A)
        & l3_conlat_1(g3_conlat_1(A,B,C),A) ) ) ),
    file(conlat_1,g3_conlat_1),
    []).

fof(dt_g3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
     => ( v3_lattices(g3_lattices(A,B,C))
        & l3_lattices(g3_lattices(A,B,C)) ) ) ),
    file(lattices,g3_lattices),
    []).

fof(dt_k10_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( v1_funct_1(k10_conlat_1(A))
        & v1_funct_2(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
        & m2_relset_1(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) ) ) ),
    file(conlat_1,k10_conlat_1),
    []).

fof(dt_k10_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ) ),
    file(conlat_2,k10_conlat_2),
    []).

fof(dt_k11_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( ~ v3_struct_0(k11_conlat_1(A))
        & v3_lattices(k11_conlat_1(A))
        & l3_lattices(k11_conlat_1(A)) ) ) ),
    file(conlat_1,k11_conlat_1),
    []).

fof(dt_k12_conlat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A)
        & m1_subset_1(B,u1_struct_0(k11_conlat_1(A))) )
     => ( v6_conlat_1(k12_conlat_1(A,B),A)
        & ~ v7_conlat_1(k12_conlat_1(A,B),A)
        & v9_conlat_1(k12_conlat_1(A,B),A)
        & l3_conlat_1(k12_conlat_1(A,B),A) ) ) ),
    file(conlat_1,k12_conlat_1),
    []).

fof(dt_k1_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( v1_funct_1(k1_conlat_1(A))
        & v1_funct_2(k1_conlat_1(A),k1_zfmisc_1(u1_conlat_1(A)),k1_zfmisc_1(u2_conlat_1(A)))
        & m2_relset_1(k1_conlat_1(A),k1_zfmisc_1(u1_conlat_1(A)),k1_zfmisc_1(u2_conlat_1(A))) ) ) ),
    file(conlat_1,k1_conlat_1),
    []).

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

fof(dt_k1_lattice2,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( v3_lattices(k1_lattice2(A))
        & l3_lattices(k1_lattice2(A)) ) ) ),
    file(lattice2,k1_lattice2),
    []).

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

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_k2_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( v1_funct_1(k2_conlat_1(A))
        & v1_funct_2(k2_conlat_1(A),k1_zfmisc_1(u2_conlat_1(A)),k1_zfmisc_1(u1_conlat_1(A)))
        & m2_relset_1(k2_conlat_1(A),k1_zfmisc_1(u2_conlat_1(A)),k1_zfmisc_1(u1_conlat_1(A))) ) ) ),
    file(conlat_1,k2_conlat_1),
    []).

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

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

fof(dt_k4_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => v1_relat_1(k4_relat_1(A)) ) ),
    file(relat_1,k4_relat_1),
    []).

fof(dt_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(dt_k5_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B)) ) ),
    file(relset_1,k5_relset_1),
    []).

fof(dt_k6_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m2_relset_1(k6_relset_1(A,B,C),B,A) ) ),
    file(relset_1,k6_relset_1),
    []).

fof(dt_k7_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ~ v1_xboole_0(k7_conlat_1(A)) ) ),
    file(conlat_1,k7_conlat_1),
    []).

fof(dt_k7_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( ~ v3_conlat_1(k7_conlat_2(A))
        & v4_conlat_1(k7_conlat_2(A))
        & l2_conlat_1(k7_conlat_2(A)) ) ) ),
    file(conlat_2,k7_conlat_2),
    []).

fof(dt_k8_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => m1_conlat_1(k8_conlat_1(A),A) ) ),
    file(conlat_1,k8_conlat_1),
    []).

fof(dt_k8_conlat_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A)
        & l3_conlat_1(B,A) )
     => ( v6_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A))
        & l3_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) ) ) ),
    file(conlat_2,k8_conlat_2),
    []).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    []).

fof(dt_k9_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( v1_funct_1(k9_conlat_1(A))
        & v1_funct_2(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
        & m2_relset_1(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) ) ) ),
    file(conlat_1,k9_conlat_1),
    []).

fof(dt_k9_conlat_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A)
        & ~ v7_conlat_1(B,A)
        & v9_conlat_1(B,A)
        & l3_conlat_1(B,A) )
     => ( v6_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
        & ~ v7_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
        & v9_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
        & l3_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)) ) ) ),
    file(conlat_2,k9_conlat_2),
    []).

fof(dt_l1_conlat_1,axiom,(
    $true ),
    file(conlat_1,l1_conlat_1),
    []).

fof(dt_l1_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l1_lattices),
    []).

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

fof(dt_l2_conlat_1,axiom,(
    ! [A] : 
      ( l2_conlat_1(A)
     => l1_conlat_1(A) ) ),
    file(conlat_1,l2_conlat_1),
    []).

fof(dt_l2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l2_lattices),
    []).

fof(dt_l3_conlat_1,axiom,(
    $true ),
    file(conlat_1,l3_conlat_1),
    []).

fof(dt_l3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( l1_lattices(A)
        & l2_lattices(A) ) ) ),
    file(lattices,l3_lattices),
    []).

fof(dt_m1_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( m1_conlat_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(conlat_1,m1_conlat_1),
    []).

fof(dt_m1_lattice4,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A)
        & ~ v3_struct_0(B)
        & v10_lattices(B)
        & l3_lattices(B) )
     => ! [C] : 
          ( m1_lattice4(C,A,B)
         => ( v1_funct_1(C)
            & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
            & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ),
    file(lattice4,m1_lattice4),
    []).

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_conlat_1,axiom,(
    $true ),
    file(conlat_1,u1_conlat_1),
    []).

fof(dt_u1_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => ( v1_funct_1(u1_lattices(A))
        & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u1_lattices),
    []).

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

fof(dt_u2_conlat_1,axiom,(
    $true ),
    file(conlat_1,u2_conlat_1),
    []).

fof(dt_u2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => ( v1_funct_1(u2_lattices(A))
        & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u2_lattices),
    []).

fof(dt_u3_conlat_1,axiom,(
    ! [A] : 
      ( l2_conlat_1(A)
     => m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ) ),
    file(conlat_1,u3_conlat_1),
    []).

fof(dt_u4_conlat_1,axiom,(
    ! [A,B] : 
      ( ( l1_conlat_1(A)
        & l3_conlat_1(B,A) )
     => m1_subset_1(u4_conlat_1(A,B),k1_zfmisc_1(u1_conlat_1(A))) ) ),
    file(conlat_1,u4_conlat_1),
    []).

fof(dt_u5_conlat_1,axiom,(
    ! [A,B] : 
      ( ( l1_conlat_1(A)
        & l3_conlat_1(B,A) )
     => m1_subset_1(u5_conlat_1(A,B),k1_zfmisc_1(u2_conlat_1(A))) ) ),
    file(conlat_1,u5_conlat_1),
    []).

fof(existence_l1_conlat_1,axiom,(
    ? [A] : l1_conlat_1(A) ),
    file(conlat_1,l1_conlat_1),
    []).

fof(existence_l1_lattices,axiom,(
    ? [A] : l1_lattices(A) ),
    file(lattices,l1_lattices),
    []).

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

fof(existence_l2_conlat_1,axiom,(
    ? [A] : l2_conlat_1(A) ),
    file(conlat_1,l2_conlat_1),
    []).

fof(existence_l2_lattices,axiom,(
    ? [A] : l2_lattices(A) ),
    file(lattices,l2_lattices),
    []).

fof(existence_l3_conlat_1,axiom,(
    ! [A] : 
      ( l1_conlat_1(A)
     => ? [B] : l3_conlat_1(B,A) ) ),
    file(conlat_1,l3_conlat_1),
    []).

fof(existence_l3_lattices,axiom,(
    ? [A] : l3_lattices(A) ),
    file(lattices,l3_lattices),
    []).

fof(existence_m1_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ? [B] : m1_conlat_1(B,A) ) ),
    file(conlat_1,m1_conlat_1),
    []).

fof(existence_m1_lattice4,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A)
        & ~ v3_struct_0(B)
        & v10_lattices(B)
        & l3_lattices(B) )
     => ? [C] : m1_lattice4(C,A,B) ) ),
    file(lattice4,m1_lattice4),
    []).

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(fc1_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ~ v1_xboole_0(u2_conlat_1(A)) ) ),
    file(conlat_1,fc1_conlat_1),
    []).

fof(fc1_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( ~ v3_struct_0(k11_conlat_1(A))
        & v3_lattices(k11_conlat_1(A))
        & v4_lattices(k11_conlat_1(A))
        & v5_lattices(k11_conlat_1(A))
        & v6_lattices(k11_conlat_1(A))
        & v7_lattices(k11_conlat_1(A))
        & v8_lattices(k11_conlat_1(A))
        & v9_lattices(k11_conlat_1(A))
        & v10_lattices(k11_conlat_1(A))
        & v13_lattices(k11_conlat_1(A))
        & v14_lattices(k11_conlat_1(A))
        & v15_lattices(k11_conlat_1(A))
        & v4_lattice3(k11_conlat_1(A)) ) ) ),
    file(conlat_2,fc1_conlat_2),
    []).

fof(fc1_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l3_lattices(A) )
     => ( ~ v3_struct_0(k1_lattice2(A))
        & v3_lattices(k1_lattice2(A)) ) ) ),
    file(lattice2,fc1_lattice2),
    []).

fof(fc1_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    []).

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(fc2_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ~ v1_xboole_0(u1_conlat_1(A)) ) ),
    file(conlat_1,fc2_conlat_1),
    []).

fof(fc2_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v4_lattice3(A)
        & l3_lattices(A) )
     => ( ~ v3_struct_0(k1_lattice2(A))
        & v3_lattices(k1_lattice2(A))
        & v4_lattices(k1_lattice2(A))
        & v5_lattices(k1_lattice2(A))
        & v6_lattices(k1_lattice2(A))
        & v7_lattices(k1_lattice2(A))
        & v8_lattices(k1_lattice2(A))
        & v9_lattices(k1_lattice2(A))
        & v10_lattices(k1_lattice2(A))
        & v4_lattice3(k1_lattice2(A)) ) ) ),
    file(conlat_2,fc2_conlat_2),
    []).

fof(fc2_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_lattices(A) )
     => ( v1_relat_1(u2_lattices(A))
        & v1_funct_1(u2_lattices(A))
        & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & v1_binop_1(u2_lattices(A),u1_struct_0(A))
        & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattice2,fc2_lattice2),
    []).

fof(fc3_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ~ v1_xboole_0(k7_conlat_1(A)) ) ),
    file(conlat_1,fc3_conlat_1),
    []).

fof(fc3_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v5_lattices(A)
        & l2_lattices(A) )
     => ( v1_relat_1(u2_lattices(A))
        & v1_funct_1(u2_lattices(A))
        & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & v2_binop_1(u2_lattices(A),u1_struct_0(A))
        & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattice2,fc3_lattice2),
    []).

fof(fc3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
     => ( ~ v3_struct_0(g3_lattices(A,B,C))
        & v3_lattices(g3_lattices(A,B,C)) ) ) ),
    file(lattices,fc3_lattices),
    []).

fof(fc4_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( ~ v3_struct_0(k11_conlat_1(A))
        & v3_lattices(k11_conlat_1(A))
        & v4_lattices(k11_conlat_1(A))
        & v5_lattices(k11_conlat_1(A))
        & v6_lattices(k11_conlat_1(A))
        & v7_lattices(k11_conlat_1(A))
        & v8_lattices(k11_conlat_1(A))
        & v9_lattices(k11_conlat_1(A))
        & v10_lattices(k11_conlat_1(A)) ) ) ),
    file(conlat_1,fc4_conlat_1),
    []).

fof(fc4_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A) )
     => ( v1_relat_1(u1_lattices(A))
        & v1_funct_1(u1_lattices(A))
        & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & v1_binop_1(u1_lattices(A),u1_struct_0(A))
        & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattice2,fc4_lattice2),
    []).

fof(fc4_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    []).

fof(fc5_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ( ~ v3_struct_0(k11_conlat_1(A))
        & v3_lattices(k11_conlat_1(A))
        & v4_lattices(k11_conlat_1(A))
        & v5_lattices(k11_conlat_1(A))
        & v6_lattices(k11_conlat_1(A))
        & v7_lattices(k11_conlat_1(A))
        & v8_lattices(k11_conlat_1(A))
        & v9_lattices(k11_conlat_1(A))
        & v10_lattices(k11_conlat_1(A))
        & v4_lattice3(k11_conlat_1(A)) ) ) ),
    file(conlat_1,fc5_conlat_1),
    []).

fof(fc5_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v7_lattices(A)
        & l1_lattices(A) )
     => ( v1_relat_1(u1_lattices(A))
        & v1_funct_1(u1_lattices(A))
        & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & v2_binop_1(u1_lattices(A),u1_struct_0(A))
        & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattice2,fc5_lattice2),
    []).

fof(fc6_lattice2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ( ~ v3_struct_0(k1_lattice2(A))
        & v3_lattices(k1_lattice2(A))
        & v4_lattices(k1_lattice2(A))
        & v5_lattices(k1_lattice2(A))
        & v6_lattices(k1_lattice2(A))
        & v7_lattices(k1_lattice2(A))
        & v8_lattices(k1_lattice2(A))
        & v9_lattices(k1_lattice2(A))
        & v10_lattices(k1_lattice2(A)) ) ) ),
    file(lattice2,fc6_lattice2),
    []).

fof(free_g2_conlat_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ! [D,E,F] : 
          ( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(conlat_1,g2_conlat_1),
    []).

fof(free_g3_conlat_1,axiom,(
    ! [A,B,C] : 
      ( ( l1_conlat_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A)))
        & m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) )
     => ! [D,E,F] : 
          ( g3_conlat_1(A,B,C) = g3_conlat_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(conlat_1,g3_conlat_1),
    []).

fof(free_g3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
     => ! [D,E,F] : 
          ( g3_lattices(A,B,C) = g3_lattices(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(lattices,g3_lattices),
    []).

fof(involutiveness_k4_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => k4_relat_1(k4_relat_1(A)) = A ) ),
    file(relat_1,k4_relat_1),
    []).

fof(involutiveness_k6_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ) ),
    file(relset_1,k6_relset_1),
    []).

fof(rc10_conlat_1,axiom,(
    ! [A] : 
      ( l1_conlat_1(A)
     => ? [B] : 
          ( l3_conlat_1(B,A)
          & v6_conlat_1(B,A) ) ) ),
    file(conlat_1,rc10_conlat_1),
    []).

fof(rc11_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ? [B] : 
          ( l3_conlat_1(B,A)
          & v6_conlat_1(B,A)
          & ~ v7_conlat_1(B,A) ) ) ),
    file(conlat_1,rc11_conlat_1),
    []).

fof(rc11_lattices,axiom,(
    ? [A] : 
      ( l3_lattices(A)
      & ~ v3_struct_0(A)
      & v3_lattices(A)
      & v4_lattices(A)
      & v5_lattices(A)
      & v6_lattices(A)
      & v7_lattices(A)
      & v8_lattices(A)
      & v9_lattices(A)
      & v10_lattices(A)
      & v13_lattices(A)
      & v14_lattices(A)
      & v15_lattices(A) ) ),
    file(lattices,rc11_lattices),
    []).

fof(rc12_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ? [B] : 
          ( l3_conlat_1(B,A)
          & v6_conlat_1(B,A)
          & v8_conlat_1(B,A) ) ) ),
    file(conlat_1,rc12_conlat_1),
    []).

fof(rc13_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ? [B] : 
          ( l3_conlat_1(B,A)
          & ~ v7_conlat_1(B,A)
          & v9_conlat_1(B,A) ) ) ),
    file(conlat_1,rc13_conlat_1),
    []).

fof(rc14_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ? [B] : 
          ( l3_conlat_1(B,A)
          & v6_conlat_1(B,A)
          & ~ v7_conlat_1(B,A)
          & v9_conlat_1(B,A) ) ) ),
    file(conlat_1,rc14_conlat_1),
    []).

fof(rc1_funct_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

fof(rc1_partfun1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A) ) ),
    file(partfun1,rc1_partfun1),
    []).

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_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

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(rc3_lattices,axiom,(
    ? [A] : 
      ( l3_lattices(A)
      & v3_lattices(A) ) ),
    file(lattices,rc3_lattices),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(rc5_conlat_1,axiom,(
    ? [A] : 
      ( l2_conlat_1(A)
      & v4_conlat_1(A) ) ),
    file(conlat_1,rc5_conlat_1),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

fof(rc6_lattices,axiom,(
    ? [A] : 
      ( l3_lattices(A)
      & ~ v3_struct_0(A)
      & v3_lattices(A) ) ),
    file(lattices,rc6_lattices),
    []).

fof(rc7_conlat_1,axiom,(
    ? [A] : 
      ( l2_conlat_1(A)
      & ~ v3_conlat_1(A)
      & v4_conlat_1(A) ) ),
    file(conlat_1,rc7_conlat_1),
    []).

fof(rc8_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(conlat_1,rc8_conlat_1),
    []).

fof(rc9_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l1_conlat_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(conlat_1,rc9_conlat_1),
    []).

fof(rc9_lattices,axiom,(
    ? [A] : 
      ( l3_lattices(A)
      & ~ v3_struct_0(A)
      & v3_lattices(A)
      & v4_lattices(A)
      & v5_lattices(A)
      & v6_lattices(A)
      & v7_lattices(A)
      & v8_lattices(A)
      & v9_lattices(A)
      & v10_lattices(A) ) ),
    file(lattices,rc9_lattices),
    []).

fof(redefinition_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k4_relset_1(A,B,C) = k1_relat_1(C) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(redefinition_k5_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k5_relset_1(A,B,C) = k2_relat_1(C) ) ),
    file(relset_1,k5_relset_1),
    []).

fof(redefinition_k6_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k6_relset_1(A,B,C) = k4_relat_1(C) ) ),
    file(relset_1,k6_relset_1),
    []).

fof(redefinition_k8_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => k8_conlat_1(A) = k7_conlat_1(A) ) ),
    file(conlat_1,k8_conlat_1),
    []).

fof(redefinition_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    []).

fof(redefinition_k9_conlat_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A)
        & ~ v7_conlat_1(B,A)
        & v9_conlat_1(B,A)
        & l3_conlat_1(B,A) )
     => k9_conlat_2(A,B) = k8_conlat_2(A,B) ) ),
    file(conlat_2,k9_conlat_2),
    []).

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

fof(t18_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A)))
         => k8_funct_2(k1_zfmisc_1(u1_conlat_1(A)),k1_zfmisc_1(u2_conlat_1(A)),k1_conlat_1(A),B) = k1_funct_1(k2_conlat_1(k7_conlat_2(A)),B) ) ) ),
    file(conlat_2,t18_conlat_2),
    []).

fof(t19_conlat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A)))
         => k8_funct_2(k1_zfmisc_1(u2_conlat_1(A)),k1_zfmisc_1(u1_conlat_1(A)),k2_conlat_1(A),B) = k1_funct_1(k1_conlat_1(k7_conlat_2(A)),B) ) ) ),
    file(conlat_2,t19_conlat_2),
    []).

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

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

fof(t35_conlat_1,axiom,(
    ! [A] : 
      ( ( ~ v3_conlat_1(A)
        & l2_conlat_1(A) )
     => ! [B] : 
          ( r2_hidden(B,k8_conlat_1(A))
        <=> ( v6_conlat_1(B,A)
            & ~ v7_conlat_1(B,A)
            & v9_conlat_1(B,A)
            & l3_conlat_1(B,A) ) ) ) ),
    file(conlat_1,t35_conlat_1),
    []).

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

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),
    []).