% Mizar problem: t50_grcat_1,grcat_1,1503,44 
fof(t50_grcat_1,conjecture,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u2_cat_1(k28_grcat_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u2_cat_1(k28_grcat_1(A)))
             => ! [D] : 
                  ( m3_grcat_1(D,k20_grcat_1(k19_grcat_1(A)))
                 => ! [E] : 
                      ( m3_grcat_1(E,k20_grcat_1(k19_grcat_1(A)))
                     => ( ( B = D
                          & C = E )
                       => ( ( k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)
                           => k21_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D) )
                          & ( k21_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D)
                           => k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) )
                          & ( k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)
                           => r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A)))) )
                          & ( r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A))))
                           => k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) )
                          & ( k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)
                           => k4_cat_1(k28_grcat_1(A),B,C) = k15_grcat_1(E,D) )
                          & ( k2_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)
                           => k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) )
                          & ( k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E)
                           => k2_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) )
                          & ( k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C)
                           => k22_grcat_1(k19_grcat_1(A),D) = k22_grcat_1(k19_grcat_1(A),E) )
                          & ( k22_grcat_1(k19_grcat_1(A),D) = k22_grcat_1(k19_grcat_1(A),E)
                           => k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_cat_1,abstractness_v1_rlvect_1,abstractness_v2_grcat_1,antisymmetry_r2_hidden,cc1_algstr_1,cc1_classes2,cc1_funct_2,cc1_relset_1,cc2_algstr_1,cc2_classes2,cc3_algstr_1,cc3_classes2,cc4_algstr_1,cc5_funct_2,cc6_funct_2,d14_grcat_1,d15_grcat_1,d35_grcat_1,d36_grcat_1,d4_cat_1,dt_g1_cat_1,dt_g1_grcat_1,dt_g1_rlvect_1,dt_k10_grcat_1,dt_k15_grcat_1,dt_k19_grcat_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k20_grcat_1,dt_k21_grcat_1,dt_k22_grcat_1,dt_k24_grcat_1,dt_k25_grcat_1,dt_k26_grcat_1,dt_k27_grcat_1,dt_k28_grcat_1,dt_k2_cat_1,dt_k2_zfmisc_1,dt_k3_cat_1,dt_k4_cat_1,dt_k4_tarski,dt_k9_grcat_1,dt_l1_cat_1,dt_l1_grcat_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_grcat_1,dt_m2_relset_1,dt_m3_grcat_1,dt_u1_cat_1,dt_u1_grcat_1,dt_u1_rlvect_1,dt_u1_struct_0,dt_u2_cat_1,dt_u2_grcat_1,dt_u2_struct_0,dt_u3_cat_1,dt_u3_grcat_1,dt_u4_cat_1,dt_u5_cat_1,dt_u6_cat_1,existence_l1_cat_1,existence_l1_grcat_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_grcat_1,existence_m2_relset_1,existence_m3_grcat_1,fc10_grcat_1,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_group_1,fc4_subset_1,fc8_grcat_1,fc9_grcat_1,free_g1_cat_1,free_g1_grcat_1,free_g1_rlvect_1,rc1_algstr_1,rc1_classes2,rc1_funct_2,rc1_grcat_1,rc1_subset_1,rc1_xboole_0,rc2_algstr_1,rc2_classes2,rc2_grcat_1,rc2_partfun1,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc4_grcat_1,rc4_struct_0,rc5_grcat_1,rc5_struct_0,rc6_grcat_1,rc7_grcat_1,redefinition_k21_grcat_1,redefinition_k22_grcat_1,redefinition_m2_grcat_1,redefinition_m2_relset_1,redefinition_m3_grcat_1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_subset,t46_grcat_1,t49_grcat_1,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(grcat_1,t50_grcat_1)]).

fof(abstractness_v1_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ( v1_cat_1(A)
       => A = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)) ) ) ),
    file(cat_1,v1_cat_1),
    []).

fof(abstractness_v1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( v1_rlvect_1(A)
       => A = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) ) ) ),
    file(rlvect_1,v1_rlvect_1),
    []).

fof(abstractness_v2_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( v2_grcat_1(A)
       => A = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) ) ) ),
    file(grcat_1,v2_grcat_1),
    []).

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

fof(cc1_algstr_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( ( ~ v3_struct_0(A)
          & v6_algstr_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_algstr_1(A)
          & v3_algstr_1(A)
          & v4_algstr_1(A)
          & v5_algstr_1(A) ) ) ) ),
    file(algstr_1,cc1_algstr_1),
    []).

fof(cc1_classes2,axiom,(
    ! [A] : 
      ( v2_classes1(A)
     => v1_classes1(A) ) ),
    file(classes2,cc1_classes2),
    []).

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_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_algstr_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_algstr_1(A)
          & v3_algstr_1(A)
          & v4_algstr_1(A)
          & v5_algstr_1(A) )
       => ( ~ v3_struct_0(A)
          & v6_algstr_1(A) ) ) ) ),
    file(algstr_1,cc2_algstr_1),
    []).

fof(cc2_classes2,axiom,(
    ! [A] : 
      ( v1_classes2(A)
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A) ) ) ),
    file(classes2,cc2_classes2),
    []).

fof(cc3_algstr_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( ( ~ v3_struct_0(A)
          & v6_algstr_1(A) )
       => ( ~ v3_struct_0(A)
          & v6_rlvect_1(A) ) ) ) ),
    file(algstr_1,cc3_algstr_1),
    []).

fof(cc3_classes2,axiom,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_classes1(A) )
     => v1_classes2(A) ) ),
    file(classes2,cc3_classes2),
    []).

fof(cc4_algstr_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_rlvect_1(A)
          & v5_rlvect_1(A)
          & v6_rlvect_1(A) )
       => ( ~ v3_struct_0(A)
          & v1_algstr_1(A)
          & v2_algstr_1(A)
          & v3_algstr_1(A)
          & v4_algstr_1(A)
          & v5_algstr_1(A)
          & v6_algstr_1(A) ) ) ) ),
    file(algstr_1,cc4_algstr_1),
    []).

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(d14_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => k9_grcat_1(A) = u1_grcat_1(A) ) ),
    file(grcat_1,d14_grcat_1),
    []).

fof(d15_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => k10_grcat_1(A) = u2_grcat_1(A) ) ),
    file(grcat_1,d15_grcat_1),
    []).

fof(d35_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & m2_relset_1(B,k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) )
         => ( B = k27_grcat_1(A)
          <=> ( ! [C] : 
                  ( m3_grcat_1(C,k20_grcat_1(A))
                 => ! [D] : 
                      ( m3_grcat_1(D,k20_grcat_1(A))
                     => ( r2_hidden(k4_tarski(C,D),k1_relat_1(B))
                      <=> k21_grcat_1(A,C) = k22_grcat_1(A,D) ) ) )
              & ! [C] : 
                  ( m3_grcat_1(C,k20_grcat_1(A))
                 => ! [D] : 
                      ( m3_grcat_1(D,k20_grcat_1(A))
                     => ( r2_hidden(k4_tarski(C,D),k1_relat_1(B))
                       => k1_funct_1(B,k4_tarski(C,D)) = k15_grcat_1(C,D) ) ) ) ) ) ) ) ),
    file(grcat_1,d35_grcat_1),
    []).

fof(d36_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => k28_grcat_1(A) = g1_cat_1(k19_grcat_1(A),k20_grcat_1(k19_grcat_1(A)),k24_grcat_1(k19_grcat_1(A)),k25_grcat_1(k19_grcat_1(A)),k27_grcat_1(k19_grcat_1(A)),k26_grcat_1(k19_grcat_1(A))) ) ),
    file(grcat_1,d36_grcat_1),
    []).

fof(d4_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u2_cat_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u2_cat_1(A))
             => ( r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A)))
               => k4_cat_1(A,B,C) = k1_funct_1(u5_cat_1(A),k4_tarski(C,B)) ) ) ) ) ),
    file(cat_1,d4_cat_1),
    []).

fof(dt_g1_cat_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,B,A)
        & m1_relset_1(C,B,A)
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A)
        & v1_funct_1(E)
        & m1_relset_1(E,k2_zfmisc_1(B,B),B)
        & v1_funct_1(F)
        & v1_funct_2(F,A,B)
        & m1_relset_1(F,A,B) )
     => ( v1_cat_1(g1_cat_1(A,B,C,D,E,F))
        & l1_cat_1(g1_cat_1(A,B,C,D,E,F)) ) ) ),
    file(cat_1,g1_cat_1),
    []).

fof(dt_g1_grcat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l1_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & l1_rlvect_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => ( v2_grcat_1(g1_grcat_1(A,B,C))
        & l1_grcat_1(g1_grcat_1(A,B,C)) ) ) ),
    file(grcat_1,g1_grcat_1),
    []).

fof(dt_g1_rlvect_1,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)
        & m1_subset_1(C,A) )
     => ( v1_rlvect_1(g1_rlvect_1(A,B,C))
        & l1_rlvect_1(g1_rlvect_1(A,B,C)) ) ) ),
    file(rlvect_1,g1_rlvect_1),
    []).

fof(dt_k10_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( ~ v3_struct_0(k10_grcat_1(A))
        & v4_rlvect_1(k10_grcat_1(A))
        & v5_rlvect_1(k10_grcat_1(A))
        & v6_rlvect_1(k10_grcat_1(A))
        & l1_rlvect_1(k10_grcat_1(A)) ) ) ),
    file(grcat_1,k10_grcat_1),
    []).

fof(dt_k15_grcat_1,axiom,(
    ! [A,B] : 
      ( ( v3_grcat_1(A)
        & l1_grcat_1(A)
        & v3_grcat_1(B)
        & l1_grcat_1(B) )
     => ( v2_grcat_1(k15_grcat_1(A,B))
        & v3_grcat_1(k15_grcat_1(A,B))
        & l1_grcat_1(k15_grcat_1(A,B)) ) ) ),
    file(grcat_1,k15_grcat_1),
    []).

fof(dt_k19_grcat_1,axiom,(
    $true ),
    file(grcat_1,k19_grcat_1),
    []).

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

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_k20_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ( ~ v1_xboole_0(k20_grcat_1(A))
        & v5_grcat_1(k20_grcat_1(A)) ) ) ),
    file(grcat_1,k20_grcat_1),
    []).

fof(dt_k21_grcat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A)
        & m1_subset_1(B,k20_grcat_1(A)) )
     => ( v1_rlvect_1(k21_grcat_1(A,B))
        & m2_grcat_1(k21_grcat_1(A,B),A) ) ) ),
    file(grcat_1,k21_grcat_1),
    []).

fof(dt_k22_grcat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A)
        & m1_subset_1(B,k20_grcat_1(A)) )
     => ( v1_rlvect_1(k22_grcat_1(A,B))
        & m2_grcat_1(k22_grcat_1(A,B),A) ) ) ),
    file(grcat_1,k22_grcat_1),
    []).

fof(dt_k24_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ( v1_funct_1(k24_grcat_1(A))
        & v1_funct_2(k24_grcat_1(A),k20_grcat_1(A),A)
        & m2_relset_1(k24_grcat_1(A),k20_grcat_1(A),A) ) ) ),
    file(grcat_1,k24_grcat_1),
    []).

fof(dt_k25_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ( v1_funct_1(k25_grcat_1(A))
        & v1_funct_2(k25_grcat_1(A),k20_grcat_1(A),A)
        & m2_relset_1(k25_grcat_1(A),k20_grcat_1(A),A) ) ) ),
    file(grcat_1,k25_grcat_1),
    []).

fof(dt_k26_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ( v1_funct_1(k26_grcat_1(A))
        & v1_funct_2(k26_grcat_1(A),A,k20_grcat_1(A))
        & m2_relset_1(k26_grcat_1(A),A,k20_grcat_1(A)) ) ) ),
    file(grcat_1,k26_grcat_1),
    []).

fof(dt_k27_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ( v1_funct_1(k27_grcat_1(A))
        & m2_relset_1(k27_grcat_1(A),k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) ) ) ),
    file(grcat_1,k27_grcat_1),
    []).

fof(dt_k28_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => l1_cat_1(k28_grcat_1(A)) ) ),
    file(grcat_1,k28_grcat_1),
    []).

fof(dt_k2_cat_1,axiom,(
    ! [A,B] : 
      ( ( l1_cat_1(A)
        & m1_subset_1(B,u2_cat_1(A)) )
     => m1_subset_1(k2_cat_1(A,B),u1_cat_1(A)) ) ),
    file(cat_1,k2_cat_1),
    []).

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

fof(dt_k3_cat_1,axiom,(
    ! [A,B] : 
      ( ( l1_cat_1(A)
        & m1_subset_1(B,u2_cat_1(A)) )
     => m1_subset_1(k3_cat_1(A,B),u1_cat_1(A)) ) ),
    file(cat_1,k3_cat_1),
    []).

fof(dt_k4_cat_1,axiom,(
    ! [A,B,C] : 
      ( ( l1_cat_1(A)
        & m1_subset_1(B,u2_cat_1(A))
        & m1_subset_1(C,u2_cat_1(A)) )
     => m1_subset_1(k4_cat_1(A,B,C),u2_cat_1(A)) ) ),
    file(cat_1,k4_cat_1),
    []).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

fof(dt_k9_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( ~ v3_struct_0(k9_grcat_1(A))
        & v4_rlvect_1(k9_grcat_1(A))
        & v5_rlvect_1(k9_grcat_1(A))
        & v6_rlvect_1(k9_grcat_1(A))
        & l1_rlvect_1(k9_grcat_1(A)) ) ) ),
    file(grcat_1,k9_grcat_1),
    []).

fof(dt_l1_cat_1,axiom,(
    $true ),
    file(cat_1,l1_cat_1),
    []).

fof(dt_l1_grcat_1,axiom,(
    $true ),
    file(grcat_1,l1_grcat_1),
    []).

fof(dt_l1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => l2_struct_0(A) ) ),
    file(rlvect_1,l1_rlvect_1),
    []).

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

fof(dt_l2_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => l1_struct_0(A) ) ),
    file(struct_0,l2_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_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ! [B] : 
          ( m2_grcat_1(B,A)
         => ( ~ v3_struct_0(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & l1_rlvect_1(B) ) ) ) ),
    file(grcat_1,m2_grcat_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_m3_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v5_grcat_1(A) )
     => ! [B] : 
          ( m3_grcat_1(B,A)
         => ( v3_grcat_1(B)
            & l1_grcat_1(B) ) ) ) ),
    file(grcat_1,m3_grcat_1),
    []).

fof(dt_u1_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ~ v1_xboole_0(u1_cat_1(A)) ) ),
    file(cat_1,u1_cat_1),
    []).

fof(dt_u1_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( ~ v3_struct_0(u1_grcat_1(A))
        & v4_rlvect_1(u1_grcat_1(A))
        & v5_rlvect_1(u1_grcat_1(A))
        & v6_rlvect_1(u1_grcat_1(A))
        & l1_rlvect_1(u1_grcat_1(A)) ) ) ),
    file(grcat_1,u1_grcat_1),
    []).

fof(dt_u1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( v1_funct_1(u1_rlvect_1(A))
        & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(rlvect_1,u1_rlvect_1),
    []).

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

fof(dt_u2_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ~ v1_xboole_0(u2_cat_1(A)) ) ),
    file(cat_1,u2_cat_1),
    []).

fof(dt_u2_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( ~ v3_struct_0(u2_grcat_1(A))
        & v4_rlvect_1(u2_grcat_1(A))
        & v5_rlvect_1(u2_grcat_1(A))
        & v6_rlvect_1(u2_grcat_1(A))
        & l1_rlvect_1(u2_grcat_1(A)) ) ) ),
    file(grcat_1,u2_grcat_1),
    []).

fof(dt_u2_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => m1_subset_1(u2_struct_0(A),u1_struct_0(A)) ) ),
    file(struct_0,u2_struct_0),
    []).

fof(dt_u3_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ( v1_funct_1(u3_cat_1(A))
        & v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A))
        & m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) ) ) ),
    file(cat_1,u3_cat_1),
    []).

fof(dt_u3_grcat_1,axiom,(
    ! [A] : 
      ( l1_grcat_1(A)
     => ( v1_funct_1(u3_grcat_1(A))
        & v1_funct_2(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A)))
        & m2_relset_1(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) ) ) ),
    file(grcat_1,u3_grcat_1),
    []).

fof(dt_u4_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ( v1_funct_1(u4_cat_1(A))
        & v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A))
        & m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)) ) ) ),
    file(cat_1,u4_cat_1),
    []).

fof(dt_u5_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ( v1_funct_1(u5_cat_1(A))
        & m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)) ) ) ),
    file(cat_1,u5_cat_1),
    []).

fof(dt_u6_cat_1,axiom,(
    ! [A] : 
      ( l1_cat_1(A)
     => ( v1_funct_1(u6_cat_1(A))
        & v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A))
        & m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) ) ) ),
    file(cat_1,u6_cat_1),
    []).

fof(existence_l1_cat_1,axiom,(
    ? [A] : l1_cat_1(A) ),
    file(cat_1,l1_cat_1),
    []).

fof(existence_l1_grcat_1,axiom,(
    ? [A] : l1_grcat_1(A) ),
    file(grcat_1,l1_grcat_1),
    []).

fof(existence_l1_rlvect_1,axiom,(
    ? [A] : l1_rlvect_1(A) ),
    file(rlvect_1,l1_rlvect_1),
    []).

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

fof(existence_l2_struct_0,axiom,(
    ? [A] : l2_struct_0(A) ),
    file(struct_0,l2_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_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ? [B] : m2_grcat_1(B,A) ) ),
    file(grcat_1,m2_grcat_1),
    []).

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

fof(existence_m3_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v5_grcat_1(A) )
     => ? [B] : m3_grcat_1(B,A) ) ),
    file(grcat_1,m3_grcat_1),
    []).

fof(fc10_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => v1_cat_1(k28_grcat_1(A)) ) ),
    file(grcat_1,fc10_grcat_1),
    []).

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_group_1,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)
        & m1_subset_1(C,A) )
     => ( ~ v3_struct_0(g1_rlvect_1(A,B,C))
        & v1_rlvect_1(g1_rlvect_1(A,B,C)) ) ) ),
    file(group_1,fc2_group_1),
    []).

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(fc8_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ~ v1_xboole_0(k19_grcat_1(A)) ) ),
    file(grcat_1,fc8_grcat_1),
    []).

fof(fc9_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ( ~ v1_xboole_0(k19_grcat_1(A))
        & v4_grcat_1(k19_grcat_1(A)) ) ) ),
    file(grcat_1,fc9_grcat_1),
    []).

fof(free_g1_cat_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,B,A)
        & m1_relset_1(C,B,A)
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A)
        & v1_funct_1(E)
        & m1_relset_1(E,k2_zfmisc_1(B,B),B)
        & v1_funct_1(F)
        & v1_funct_2(F,A,B)
        & m1_relset_1(F,A,B) )
     => ! [G,H,I,J,K,L] : 
          ( g1_cat_1(A,B,C,D,E,F) = g1_cat_1(G,H,I,J,K,L)
         => ( A = G
            & B = H
            & C = I
            & D = J
            & E = K
            & F = L ) ) ) ),
    file(cat_1,g1_cat_1),
    []).

fof(free_g1_grcat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l1_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & l1_rlvect_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => ! [D,E,F] : 
          ( g1_grcat_1(A,B,C) = g1_grcat_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(grcat_1,g1_grcat_1),
    []).

fof(free_g1_rlvect_1,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)
        & m1_subset_1(C,A) )
     => ! [D,E,F] : 
          ( g1_rlvect_1(A,B,C) = g1_rlvect_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(rlvect_1,g1_rlvect_1),
    []).

fof(rc1_algstr_1,axiom,(
    ? [A] : 
      ( l1_rlvect_1(A)
      & ~ v3_struct_0(A)
      & v1_rlvect_1(A)
      & v5_rlvect_1(A)
      & v1_algstr_1(A)
      & v2_algstr_1(A)
      & v3_algstr_1(A)
      & v4_algstr_1(A)
      & v5_algstr_1(A)
      & v6_algstr_1(A) ) ),
    file(algstr_1,rc1_algstr_1),
    []).

fof(rc1_classes2,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & ~ v1_xboole_0(A)
      & v1_classes1(A)
      & v2_classes1(A)
      & v1_classes2(A) ) ),
    file(classes2,rc1_classes2),
    []).

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_grcat_1,axiom,(
    ? [A] : 
      ( l1_grcat_1(A)
      & v2_grcat_1(A) ) ),
    file(grcat_1,rc1_grcat_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_algstr_1,axiom,(
    ? [A] : 
      ( l1_rlvect_1(A)
      & ~ v3_struct_0(A)
      & v1_rlvect_1(A)
      & v4_rlvect_1(A)
      & v5_rlvect_1(A)
      & v1_algstr_1(A)
      & v2_algstr_1(A)
      & v3_algstr_1(A)
      & v4_algstr_1(A)
      & v5_algstr_1(A)
      & v6_algstr_1(A) ) ),
    file(algstr_1,rc2_algstr_1),
    []).

fof(rc2_classes2,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & ~ v1_xboole_0(B) ) ) ),
    file(classes2,rc2_classes2),
    []).

fof(rc2_grcat_1,axiom,(
    ? [A] : 
      ( l1_grcat_1(A)
      & v2_grcat_1(A)
      & v3_grcat_1(A) ) ),
    file(grcat_1,rc2_grcat_1),
    []).

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_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(rc4_grcat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_grcat_1(A) ) ),
    file(grcat_1,rc4_grcat_1),
    []).

fof(rc4_struct_0,axiom,(
    ? [A] : 
      ( l2_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc4_struct_0),
    []).

fof(rc5_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & ~ v3_struct_0(B)
          & v1_rlvect_1(B)
          & v4_rlvect_1(B)
          & v5_rlvect_1(B)
          & v6_rlvect_1(B)
          & v1_algstr_1(B)
          & v2_algstr_1(B)
          & v3_algstr_1(B)
          & v4_algstr_1(B)
          & v5_algstr_1(B)
          & v6_algstr_1(B) ) ) ),
    file(grcat_1,rc5_grcat_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_grcat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v5_grcat_1(A) ) ),
    file(grcat_1,rc6_grcat_1),
    []).

fof(rc7_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v5_grcat_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & v2_grcat_1(B)
          & v3_grcat_1(B) ) ) ),
    file(grcat_1,rc7_grcat_1),
    []).

fof(redefinition_k21_grcat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A)
        & m1_subset_1(B,k20_grcat_1(A)) )
     => k21_grcat_1(A,B) = k9_grcat_1(B) ) ),
    file(grcat_1,k21_grcat_1),
    []).

fof(redefinition_k22_grcat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A)
        & m1_subset_1(B,k20_grcat_1(A)) )
     => k22_grcat_1(A,B) = k10_grcat_1(B) ) ),
    file(grcat_1,k22_grcat_1),
    []).

fof(redefinition_m2_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_grcat_1(A) )
     => ! [B] : 
          ( m2_grcat_1(B,A)
        <=> m1_subset_1(B,A) ) ) ),
    file(grcat_1,m2_grcat_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_m3_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v5_grcat_1(A) )
     => ! [B] : 
          ( m3_grcat_1(B,A)
        <=> m1_subset_1(B,A) ) ) ),
    file(grcat_1,m3_grcat_1),
    []).

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

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

fof(t46_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u2_cat_1(k28_grcat_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u2_cat_1(k28_grcat_1(A)))
             => ( r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(k28_grcat_1(A))))
              <=> k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) ) ) ) ) ),
    file(grcat_1,t46_grcat_1),
    []).

fof(t49_grcat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u2_cat_1(k28_grcat_1(A)))
         => ! [C] : 
              ( m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A)))
             => ( B = C
               => ( k2_cat_1(k28_grcat_1(A),B) = k21_grcat_1(k19_grcat_1(A),C)
                  & k3_cat_1(k28_grcat_1(A),B) = k22_grcat_1(k19_grcat_1(A),C) ) ) ) ) ) ),
    file(grcat_1,t49_grcat_1),
    []).

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),
    []).