% Mizar problem: t3_osalg_2,osalg_2,136,38 
fof(t3_osalg_2,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_msualg_1(A)
        & ~ v2_msualg_1(A)
        & v2_msualg_2(A)
        & l1_msualg_1(A) )
     => v2_msualg_2(k2_osalg_1(A)) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_msualg_1,abstractness_v3_osalg_1,antisymmetry_r2_hidden,cc1_funct_1,cc1_orders_3,cc1_osalg_1,cc1_relset_1,cc2_funct_1,cc2_osalg_1,cc3_osalg_1,cc4_osalg_1,cc5_osalg_1,cc6_osalg_1,d2_msualg_2,d3_msualg_2,d6_osalg_1,dt_g1_msualg_1,dt_g3_osalg_1,dt_k13_finseq_1,dt_k1_funct_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_osalg_1,dt_k2_zfmisc_1,dt_k3_finseq_2,dt_k6_partfun1,dt_k6_relat_1,dt_l1_msualg_1,dt_l1_orders_2,dt_l1_osalg_1,dt_l1_struct_0,dt_l2_osalg_1,dt_l3_osalg_1,dt_m1_finseq_2,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_msualg_1,dt_u1_orders_2,dt_u1_osalg_1,dt_u1_struct_0,dt_u2_msualg_1,dt_u3_msualg_1,existence_l1_msualg_1,existence_l1_orders_2,existence_l1_osalg_1,existence_l1_struct_0,existence_l2_osalg_1,existence_l3_osalg_1,existence_m1_finseq_2,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_funct_1,fc2_orders_3,fc3_msafree,fc3_msualg_2,fc3_osalg_1,fc4_subset_1,free_g1_msualg_1,free_g3_osalg_1,rc1_funct_1,rc1_msualg_1,rc1_msualg_2,rc1_subset_1,rc1_xboole_0,rc2_funct_1,rc2_msualg_1,rc2_subset_1,rc2_xboole_0,rc3_funct_1,rc3_msualg_1,rc3_osalg_1,rc3_struct_0,rc4_osalg_1,rc5_osalg_1,rc5_struct_0,rc6_osalg_1,rc7_osalg_1,rc8_osalg_1,rc9_osalg_1,redefinition_k3_finseq_2,redefinition_k6_partfun1,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(osalg_2,t3_osalg_2)]).

fof(abstractness_v1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_msualg_1(A)
       => A = g1_msualg_1(u1_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u3_msualg_1(A)) ) ) ),
    file(msualg_1,v1_msualg_1),
    []).

fof(abstractness_v3_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( v3_osalg_1(A)
       => A = g3_osalg_1(u1_struct_0(A),u1_orders_2(A),u1_msualg_1(A),u1_osalg_1(A),u2_msualg_1(A),u3_msualg_1(A)) ) ) ),
    file(osalg_1,v3_osalg_1),
    []).

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

fof(cc1_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    []).

fof(cc1_orders_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => v1_orders_3(A) ) ) ),
    file(orders_3,cc1_orders_3),
    []).

fof(cc1_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( v4_osalg_1(A)
       => ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) ) ) ) ),
    file(osalg_1,cc1_osalg_1),
    []).

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_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    []).

fof(cc2_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v2_msualg_1(A)
          & v6_osalg_1(A) )
       => ( ~ v3_struct_0(A)
          & ~ v2_msualg_1(A)
          & v5_osalg_1(A) ) ) ) ),
    file(osalg_1,cc2_osalg_1),
    []).

fof(cc3_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v8_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_msualg_1(A))
         => v7_osalg_1(B,A) ) ) ),
    file(osalg_1,cc3_osalg_1),
    []).

fof(cc4_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v2_msualg_1(A)
          & v4_osalg_1(A)
          & v5_osalg_1(A)
          & v6_osalg_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & ~ v2_msualg_1(A)
          & v4_osalg_1(A)
          & v5_osalg_1(A)
          & v8_osalg_1(A) ) ) ) ),
    file(osalg_1,cc4_osalg_1),
    []).

fof(cc5_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v2_msualg_1(A)
          & v4_osalg_1(A)
          & v5_osalg_1(A)
          & v6_osalg_1(A)
          & v8_osalg_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & ~ v2_msualg_1(A)
          & v4_osalg_1(A)
          & v5_osalg_1(A)
          & v8_osalg_1(A)
          & v10_osalg_1(A) ) ) ) ),
    file(osalg_1,cc5_osalg_1),
    []).

fof(cc6_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v8_osalg_1(A)
        & v10_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_msualg_1(A))
         => ( v7_osalg_1(B,A)
            & v9_osalg_1(B,A) ) ) ) ),
    file(osalg_1,cc6_osalg_1),
    []).

fof(d2_msualg_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v1_msualg_2(B,A)
          <=> ? [C] : 
                ( m1_subset_1(C,u1_msualg_1(A))
                & k1_funct_1(u2_msualg_1(A),C) = k1_xboole_0
                & k1_funct_1(u3_msualg_1(A),C) = B ) ) ) ) ),
    file(msualg_2,d2_msualg_2),
    []).

fof(d3_msualg_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ( v2_msualg_2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => v1_msualg_2(B,A) ) ) ) ),
    file(msualg_2,d3_msualg_2),
    []).

fof(d6_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v3_osalg_1(B)
            & v4_osalg_1(B)
            & l3_osalg_1(B) )
         => ( B = k2_osalg_1(A)
          <=> ( u1_struct_0(A) = u1_struct_0(B)
              & k6_partfun1(u1_struct_0(A)) = u1_orders_2(B)
              & u1_msualg_1(A) = u1_msualg_1(B)
              & k6_partfun1(u1_msualg_1(A)) = u1_osalg_1(B)
              & u2_msualg_1(A) = u2_msualg_1(B)
              & u3_msualg_1(A) = u3_msualg_1(B) ) ) ) ) ),
    file(osalg_1,d6_osalg_1),
    []).

fof(dt_g1_msualg_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,B,k3_finseq_2(A))
        & m1_relset_1(C,B,k3_finseq_2(A))
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A) )
     => ( v1_msualg_1(g1_msualg_1(A,B,C,D))
        & l1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) ),
    file(msualg_1,g1_msualg_1),
    []).

fof(dt_g3_osalg_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( m1_relset_1(B,A,A)
        & v3_relat_2(D)
        & v8_relat_2(D)
        & v1_partfun1(D,C,C)
        & m1_relset_1(D,C,C)
        & v1_funct_1(E)
        & v1_funct_2(E,C,k3_finseq_2(A))
        & m1_relset_1(E,C,k3_finseq_2(A))
        & v1_funct_1(F)
        & v1_funct_2(F,C,A)
        & m1_relset_1(F,C,A) )
     => ( v3_osalg_1(g3_osalg_1(A,B,C,D,E,F))
        & l3_osalg_1(g3_osalg_1(A,B,C,D,E,F)) ) ) ),
    file(osalg_1,g3_osalg_1),
    []).

fof(dt_k13_finseq_1,axiom,(
    $true ),
    file(finseq_1,k13_finseq_1),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_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_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ( ~ v3_struct_0(k2_osalg_1(A))
        & ~ v2_msualg_1(k2_osalg_1(A))
        & v3_osalg_1(k2_osalg_1(A))
        & v4_osalg_1(k2_osalg_1(A))
        & l3_osalg_1(k2_osalg_1(A)) ) ) ),
    file(osalg_1,k2_osalg_1),
    []).

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

fof(dt_k3_finseq_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k3_finseq_2(A))
      & m1_finseq_2(k3_finseq_2(A),A) ) ),
    file(finseq_2,k3_finseq_2),
    []).

fof(dt_k6_partfun1,axiom,(
    ! [A] : 
      ( v1_partfun1(k6_partfun1(A),A,A)
      & m2_relset_1(k6_partfun1(A),A,A) ) ),
    file(partfun1,k6_partfun1),
    []).

fof(dt_k6_relat_1,axiom,(
    ! [A] : v1_relat_1(k6_relat_1(A)) ),
    file(relat_1,k6_relat_1),
    []).

fof(dt_l1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => l1_struct_0(A) ) ),
    file(msualg_1,l1_msualg_1),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

fof(dt_l1_osalg_1,axiom,(
    ! [A] : 
      ( l1_osalg_1(A)
     => l1_msualg_1(A) ) ),
    file(osalg_1,l1_osalg_1),
    []).

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

fof(dt_l2_osalg_1,axiom,(
    ! [A] : 
      ( l2_osalg_1(A)
     => ( l1_msualg_1(A)
        & l1_orders_2(A) ) ) ),
    file(osalg_1,l2_osalg_1),
    []).

fof(dt_l3_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( l1_osalg_1(A)
        & l2_osalg_1(A) ) ) ),
    file(osalg_1,l3_osalg_1),
    []).

fof(dt_m1_finseq_2,axiom,(
    $true ),
    file(finseq_2,m1_finseq_2),
    []).

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_msualg_1,axiom,(
    $true ),
    file(msualg_1,u1_msualg_1),
    []).

fof(dt_u1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

fof(dt_u1_osalg_1,axiom,(
    ! [A] : 
      ( l1_osalg_1(A)
     => ( v3_relat_2(u1_osalg_1(A))
        & v8_relat_2(u1_osalg_1(A))
        & v1_partfun1(u1_osalg_1(A),u1_msualg_1(A),u1_msualg_1(A))
        & m2_relset_1(u1_osalg_1(A),u1_msualg_1(A),u1_msualg_1(A)) ) ) ),
    file(osalg_1,u1_osalg_1),
    []).

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

fof(dt_u2_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_funct_1(u2_msualg_1(A))
        & v1_funct_2(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)))
        & m2_relset_1(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))) ) ) ),
    file(msualg_1,u2_msualg_1),
    []).

fof(dt_u3_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_funct_1(u3_msualg_1(A))
        & v1_funct_2(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A))
        & m2_relset_1(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) ) ) ),
    file(msualg_1,u3_msualg_1),
    []).

fof(existence_l1_msualg_1,axiom,(
    ? [A] : l1_msualg_1(A) ),
    file(msualg_1,l1_msualg_1),
    []).

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

fof(existence_l1_osalg_1,axiom,(
    ? [A] : l1_osalg_1(A) ),
    file(osalg_1,l1_osalg_1),
    []).

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

fof(existence_l2_osalg_1,axiom,(
    ? [A] : l2_osalg_1(A) ),
    file(osalg_1,l2_osalg_1),
    []).

fof(existence_l3_osalg_1,axiom,(
    ? [A] : l3_osalg_1(A) ),
    file(osalg_1,l3_osalg_1),
    []).

fof(existence_m1_finseq_2,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_2(B,A) ),
    file(finseq_2,m1_finseq_2),
    []).

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_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_funct_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A)) ) ),
    file(funct_1,fc2_funct_1),
    []).

fof(fc2_orders_3,axiom,(
    ! [A] : 
      ( ( v3_struct_0(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(u1_orders_2(A))
        & v1_funct_1(u1_orders_2(A))
        & v2_funct_1(u1_orders_2(A))
        & v1_xboole_0(u1_orders_2(A)) ) ) ),
    file(orders_3,fc2_orders_3),
    []).

fof(fc3_msafree,axiom,(
    ! [A] : 
      ( ( ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ~ v1_xboole_0(u1_msualg_1(A)) ) ),
    file(msafree,fc3_msafree),
    []).

fof(fc3_msualg_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,B,k3_finseq_2(A))
        & m1_relset_1(C,B,k3_finseq_2(A))
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A) )
     => ( ~ v3_struct_0(g1_msualg_1(A,B,C,D))
        & v1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) ),
    file(msualg_2,fc3_msualg_2),
    []).

fof(fc3_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ( ~ v3_struct_0(k2_osalg_1(A))
        & v2_orders_2(k2_osalg_1(A))
        & v3_orders_2(k2_osalg_1(A))
        & v4_orders_2(k2_osalg_1(A))
        & v1_orders_3(k2_osalg_1(A))
        & ~ v2_msualg_1(k2_osalg_1(A))
        & v3_osalg_1(k2_osalg_1(A))
        & v4_osalg_1(k2_osalg_1(A))
        & v5_osalg_1(k2_osalg_1(A))
        & v6_osalg_1(k2_osalg_1(A)) ) ) ),
    file(osalg_1,fc3_osalg_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(free_g1_msualg_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,B,k3_finseq_2(A))
        & m1_relset_1(C,B,k3_finseq_2(A))
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A) )
     => ! [E,F,G,H] : 
          ( g1_msualg_1(A,B,C,D) = g1_msualg_1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) ),
    file(msualg_1,g1_msualg_1),
    []).

fof(free_g3_osalg_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( m1_relset_1(B,A,A)
        & v3_relat_2(D)
        & v8_relat_2(D)
        & v1_partfun1(D,C,C)
        & m1_relset_1(D,C,C)
        & v1_funct_1(E)
        & v1_funct_2(E,C,k3_finseq_2(A))
        & m1_relset_1(E,C,k3_finseq_2(A))
        & v1_funct_1(F)
        & v1_funct_2(F,C,A)
        & m1_relset_1(F,C,A) )
     => ! [G,H,I,J,K,L] : 
          ( g3_osalg_1(A,B,C,D,E,F) = g3_osalg_1(G,H,I,J,K,L)
         => ( A = G
            & B = H
            & C = I
            & D = J
            & E = K
            & F = L ) ) ) ),
    file(osalg_1,g3_osalg_1),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc1_msualg_1,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & v1_msualg_1(A) ) ),
    file(msualg_1,rc1_msualg_1),
    []).

fof(rc1_msualg_2,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A)
      & v2_msualg_2(A) ) ),
    file(msualg_2,rc1_msualg_2),
    []).

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_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

fof(rc2_msualg_1,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v1_msualg_1(A)
      & v2_msualg_1(A) ) ),
    file(msualg_1,rc2_msualg_1),
    []).

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_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(rc3_msualg_1,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A) ) ),
    file(msualg_1,rc3_msualg_1),
    []).

fof(rc3_osalg_1,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & v3_osalg_1(A) ) ),
    file(osalg_1,rc3_osalg_1),
    []).

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

fof(rc4_osalg_1,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & ~ v3_struct_0(A)
      & ~ v2_msualg_1(A)
      & v3_osalg_1(A)
      & v4_osalg_1(A) ) ),
    file(osalg_1,rc4_osalg_1),
    []).

fof(rc5_osalg_1,axiom,(
    ? [A] : 
      ( l1_osalg_1(A)
      & ~ v3_struct_0(A)
      & ~ v2_msualg_1(A) ) ),
    file(osalg_1,rc5_osalg_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_osalg_1,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_orders_3(A)
      & ~ v2_msualg_1(A)
      & v3_osalg_1(A)
      & v4_osalg_1(A)
      & v5_osalg_1(A)
      & v6_osalg_1(A) ) ),
    file(osalg_1,rc6_osalg_1),
    []).

fof(rc7_osalg_1,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & ~ v2_msualg_1(A)
      & v4_osalg_1(A)
      & v5_osalg_1(A)
      & v8_osalg_1(A) ) ),
    file(osalg_1,rc7_osalg_1),
    []).

fof(rc8_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v8_osalg_1(A)
        & l3_osalg_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,u1_msualg_1(A))
          & v7_osalg_1(B,A) ) ) ),
    file(osalg_1,rc8_osalg_1),
    []).

fof(rc9_osalg_1,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & ~ v2_msualg_1(A)
      & v4_osalg_1(A)
      & v5_osalg_1(A)
      & v8_osalg_1(A)
      & v10_osalg_1(A) ) ),
    file(osalg_1,rc9_osalg_1),
    []).

fof(redefinition_k3_finseq_2,axiom,(
    ! [A] : k3_finseq_2(A) = k13_finseq_1(A) ),
    file(finseq_2,k3_finseq_2),
    []).

fof(redefinition_k6_partfun1,axiom,(
    ! [A] : k6_partfun1(A) = k6_relat_1(A) ),
    file(partfun1,k6_partfun1),
    []).

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(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(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),
    []).