% Mizar problem: t49_geomtrap,geomtrap,1330,59 
fof(t49_geomtrap,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_analmetr(A,B,C)
               => ( ~ v3_struct_0(k7_geomtrap(A,B,C))
                  & v2_geomtrap(k7_geomtrap(A,B,C))
                  & l1_geomtrap(k7_geomtrap(A,B,C)) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_geomtrap,antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc1_relset_1,cc20_membered,cc2_membered,cc3_membered,cc4_membered,d12_geomtrap,d13_geomtrap,d9_geomtrap,dt_g1_geomtrap,dt_k1_binop_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_binop_1,dt_k2_zfmisc_1,dt_k5_geomtrap,dt_k6_geomtrap,dt_k7_geomtrap,dt_k9_geomtrap,dt_l1_analoaf,dt_l1_geomtrap,dt_l1_midsp_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_rlvect_1,dt_l2_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_analoaf,dt_u1_midsp_1,dt_u1_struct_0,existence_l1_analoaf,existence_l1_geomtrap,existence_l1_midsp_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_rlvect_1,existence_l2_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc1_geomtrap,fc1_struct_0,fc1_subset_1,fc4_subset_1,fc6_membered,free_g1_geomtrap,l81_geomtrap,l82_geomtrap,l83_geomtrap,l84_geomtrap,l85_geomtrap,l86_geomtrap,l87_geomtrap,l88_geomtrap,l89_geomtrap,l90_geomtrap,l91_geomtrap,l92_geomtrap,l93_geomtrap,l94_geomtrap,rc1_geomtrap,rc1_membered,rc1_subset_1,rc2_geomtrap,rc2_subset_1,rc3_geomtrap,rc3_struct_0,rc4_struct_0,rc5_struct_0,redefinition_k2_binop_1,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(geomtrap,t49_geomtrap)]).

fof(abstractness_v1_geomtrap,axiom,(
    ! [A] : 
      ( l1_geomtrap(A)
     => ( v1_geomtrap(A)
       => A = g1_geomtrap(u1_struct_0(A),u1_midsp_1(A),u1_analoaf(A)) ) ) ),
    file(geomtrap,v1_geomtrap),
    []).

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

fof(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    []).

fof(cc11_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    []).

fof(cc12_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

fof(cc13_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc13_membered),
    []).

fof(cc14_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v4_ordinal2(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc14_membered),
    []).

fof(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

fof(cc1_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

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(cc20_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B)
            & v5_membered(B) ) ) ) ),
    file(membered,cc20_membered),
    []).

fof(cc2_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

fof(cc3_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

fof(cc4_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    []).

fof(d12_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_geomtrap(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k9_geomtrap(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_midsp_1(A),B,C) ) ) ) ),
    file(geomtrap,d12_geomtrap),
    []).

fof(d13_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_geomtrap(A) )
     => ( v2_geomtrap(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,u1_struct_0(A))
                                       => ! [J] : 
                                            ( m1_subset_1(J,u1_struct_0(A))
                                           => ! [K] : 
                                                ( m1_subset_1(K,u1_struct_0(A))
                                               => ( k9_geomtrap(A,B,C) = k9_geomtrap(A,C,B)
                                                  & k9_geomtrap(A,B,B) = B
                                                  & k9_geomtrap(A,k9_geomtrap(A,B,C),k9_geomtrap(A,D,E)) = k9_geomtrap(A,k9_geomtrap(A,B,D),k9_geomtrap(A,C,E))
                                                  & ? [L] : 
                                                      ( m1_subset_1(L,u1_struct_0(A))
                                                      & k9_geomtrap(A,L,B) = C )
                                                  & ( k9_geomtrap(A,B,C) = k9_geomtrap(A,B,D)
                                                   => C = D )
                                                  & ( r2_analoaf(A,B,C,D,E)
                                                   => r2_analoaf(A,B,C,k9_geomtrap(A,B,D),k9_geomtrap(A,C,E)) )
                                                  & ~ ( r2_analoaf(A,B,C,D,E)
                                                      & ~ r2_analoaf(A,B,C,k9_geomtrap(A,B,E),k9_geomtrap(A,C,D))
                                                      & ~ r2_analoaf(A,B,C,k9_geomtrap(A,C,D),k9_geomtrap(A,B,E)) )
                                                  & ( ( r2_analoaf(A,B,C,D,E)
                                                      & k9_geomtrap(A,B,F) = J
                                                      & k9_geomtrap(A,C,G) = J
                                                      & k9_geomtrap(A,D,H) = J
                                                      & k9_geomtrap(A,E,I) = J )
                                                   => r2_analoaf(A,F,G,H,I) )
                                                  & ( ( r2_analoaf(A,J,K,B,F)
                                                      & r2_analoaf(A,J,K,C,G)
                                                      & r2_analoaf(A,J,K,D,H)
                                                      & r2_analoaf(A,J,K,E,I)
                                                      & r2_analoaf(A,B,C,D,E) )
                                                   => ( J = K
                                                      | r2_analoaf(A,F,G,H,I) ) )
                                                  & ( r2_analoaf(A,B,C,C,D)
                                                   => ( B = C
                                                      & C = D ) )
                                                  & ( ( r2_analoaf(A,B,C,F,G)
                                                      & r2_analoaf(A,B,C,H,I) )
                                                   => ( B = C
                                                      | r2_analoaf(A,F,G,H,I) ) )
                                                  & ( r2_analoaf(A,B,C,D,E)
                                                   => ( r2_analoaf(A,D,E,B,C)
                                                      & r2_analoaf(A,C,B,E,D) ) )
                                                  & ~ ! [L] : 
                                                        ( m1_subset_1(L,u1_struct_0(A))
                                                       => ( ~ r2_analoaf(A,B,C,D,L)
                                                          & ~ r2_analoaf(A,B,C,L,D) ) )
                                                  & ~ ( r2_analoaf(A,B,C,D,J)
                                                      & r2_analoaf(A,B,C,D,K)
                                                      & B != C
                                                      & J != K ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,d13_geomtrap),
    []).

fof(d9_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k7_geomtrap(A,B,C) = g1_geomtrap(u1_struct_0(A),k6_geomtrap(A),k5_geomtrap(A,B,C)) ) ) ) ),
    file(geomtrap,d9_geomtrap),
    []).

fof(dt_g1_geomtrap,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_relset_1(C,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)) )
     => ( v1_geomtrap(g1_geomtrap(A,B,C))
        & l1_geomtrap(g1_geomtrap(A,B,C)) ) ) ),
    file(geomtrap,g1_geomtrap),
    []).

fof(dt_k1_binop_1,axiom,(
    $true ),
    file(binop_1,k1_binop_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_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => m1_subset_1(k2_binop_1(A,B,C,D,E,F),C) ) ),
    file(binop_1,k2_binop_1),
    []).

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

fof(dt_k5_geomtrap,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m2_relset_1(k5_geomtrap(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ),
    file(geomtrap,k5_geomtrap),
    []).

fof(dt_k6_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ( v1_funct_1(k6_geomtrap(A))
        & v1_funct_2(k6_geomtrap(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(k6_geomtrap(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(geomtrap,k6_geomtrap),
    []).

fof(dt_k7_geomtrap,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( v1_geomtrap(k7_geomtrap(A,B,C))
        & l1_geomtrap(k7_geomtrap(A,B,C)) ) ) ),
    file(geomtrap,k7_geomtrap),
    []).

fof(dt_k9_geomtrap,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_geomtrap(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k9_geomtrap(A,B,C),u1_struct_0(A)) ) ),
    file(geomtrap,k9_geomtrap),
    []).

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

fof(dt_l1_geomtrap,axiom,(
    ! [A] : 
      ( l1_geomtrap(A)
     => ( l1_analoaf(A)
        & l1_midsp_1(A) ) ) ),
    file(geomtrap,l1_geomtrap),
    []).

fof(dt_l1_midsp_1,axiom,(
    ! [A] : 
      ( l1_midsp_1(A)
     => l1_struct_0(A) ) ),
    file(midsp_1,l1_midsp_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_rlvect_1,axiom,(
    ! [A] : 
      ( l2_rlvect_1(A)
     => l1_rlvect_1(A) ) ),
    file(rlvect_1,l2_rlvect_1),
    []).

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_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_midsp_1,axiom,(
    ! [A] : 
      ( l1_midsp_1(A)
     => ( v1_funct_1(u1_midsp_1(A))
        & v1_funct_2(u1_midsp_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_midsp_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(midsp_1,u1_midsp_1),
    []).

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

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

fof(existence_l1_geomtrap,axiom,(
    ? [A] : l1_geomtrap(A) ),
    file(geomtrap,l1_geomtrap),
    []).

fof(existence_l1_midsp_1,axiom,(
    ? [A] : l1_midsp_1(A) ),
    file(midsp_1,l1_midsp_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_rlvect_1,axiom,(
    ? [A] : l2_rlvect_1(A) ),
    file(rlvect_1,l2_rlvect_1),
    []).

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_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(fc1_geomtrap,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( ~ v3_struct_0(k7_geomtrap(A,B,C))
        & v1_geomtrap(k7_geomtrap(A,B,C)) ) ) ),
    file(geomtrap,fc1_geomtrap),
    []).

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(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(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file(membered,fc6_membered),
    []).

fof(free_g1_geomtrap,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_relset_1(C,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)) )
     => ! [D,E,F] : 
          ( g1_geomtrap(A,B,C) = g1_geomtrap(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(geomtrap,g1_geomtrap),
    []).

fof(l81_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ( ( r1_analmetr(A,B,C)
                              & r2_analoaf(k7_geomtrap(A,B,C),D,E,E,F) )
                           => ( D = E
                              & E = F ) ) ) ) ) ) ) ) ),
    file(geomtrap,l81_geomtrap),
    []).

fof(l82_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C)))
                                 => ! [I] : 
                                      ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C)))
                                     => ( ( r1_analmetr(A,B,C)
                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,H,I) )
                                       => ( D = E
                                          | r2_analoaf(k7_geomtrap(A,B,C),F,G,H,I) ) ) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l82_geomtrap),
    []).

fof(l83_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ( ( r1_analmetr(A,B,C)
                                  & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) )
                               => ( r2_analoaf(k7_geomtrap(A,B,C),F,G,D,E)
                                  & r2_analoaf(k7_geomtrap(A,B,C),E,D,G,F) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l83_geomtrap),
    []).

fof(l84_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ~ ( r1_analmetr(A,B,C)
                              & ! [G] : 
                                  ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                                 => ( ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                    & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,G,F) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l84_geomtrap),
    []).

fof(l85_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C)))
                                 => ~ ( r1_analmetr(A,B,C)
                                      & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                      & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,H)
                                      & D != E
                                      & G != H ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l85_geomtrap),
    []).

fof(l86_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ( r1_analmetr(A,B,C)
                       => k9_geomtrap(k7_geomtrap(A,B,C),D,E) = k9_geomtrap(k7_geomtrap(A,B,C),E,D) ) ) ) ) ) ) ),
    file(geomtrap,l86_geomtrap),
    []).

fof(l87_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ( r1_analmetr(A,B,C)
                   => k9_geomtrap(k7_geomtrap(A,B,C),D,D) = D ) ) ) ) ) ),
    file(geomtrap,l87_geomtrap),
    []).

fof(l88_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ( r1_analmetr(A,B,C)
                               => k9_geomtrap(k7_geomtrap(A,B,C),k9_geomtrap(k7_geomtrap(A,B,C),D,E),k9_geomtrap(k7_geomtrap(A,B,C),F,G)) = k9_geomtrap(k7_geomtrap(A,B,C),k9_geomtrap(k7_geomtrap(A,B,C),D,F),k9_geomtrap(k7_geomtrap(A,B,C),E,G)) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l88_geomtrap),
    []).

fof(l89_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ~ ( r1_analmetr(A,B,C)
                          & ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                             => k9_geomtrap(k7_geomtrap(A,B,C),F,D) != E ) ) ) ) ) ) ) ),
    file(geomtrap,l89_geomtrap),
    []).

fof(l90_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ( ( r1_analmetr(A,B,C)
                              & k9_geomtrap(k7_geomtrap(A,B,C),D,E) = k9_geomtrap(k7_geomtrap(A,B,C),D,F) )
                           => E = F ) ) ) ) ) ) ) ),
    file(geomtrap,l90_geomtrap),
    []).

fof(l91_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ( ( r1_analmetr(A,B,C)
                                  & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G) )
                               => r2_analoaf(k7_geomtrap(A,B,C),D,E,k9_geomtrap(k7_geomtrap(A,B,C),D,F),k9_geomtrap(k7_geomtrap(A,B,C),E,G)) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l91_geomtrap),
    []).

fof(l92_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ~ ( r1_analmetr(A,B,C)
                                  & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                  & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,k9_geomtrap(k7_geomtrap(A,B,C),D,G),k9_geomtrap(k7_geomtrap(A,B,C),E,F))
                                  & ~ r2_analoaf(k7_geomtrap(A,B,C),D,E,k9_geomtrap(k7_geomtrap(A,B,C),E,F),k9_geomtrap(k7_geomtrap(A,B,C),D,G)) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l92_geomtrap),
    []).

fof(l93_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C)))
                                 => ! [I] : 
                                      ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C)))
                                     => ! [J] : 
                                          ( m1_subset_1(J,u1_struct_0(k7_geomtrap(A,B,C)))
                                         => ! [K] : 
                                              ( m1_subset_1(K,u1_struct_0(k7_geomtrap(A,B,C)))
                                             => ! [L] : 
                                                  ( m1_subset_1(L,u1_struct_0(k7_geomtrap(A,B,C)))
                                                 => ( ( r1_analmetr(A,B,C)
                                                      & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                                      & k9_geomtrap(k7_geomtrap(A,B,C),D,H) = I
                                                      & k9_geomtrap(k7_geomtrap(A,B,C),E,J) = I
                                                      & k9_geomtrap(k7_geomtrap(A,B,C),F,K) = I
                                                      & k9_geomtrap(k7_geomtrap(A,B,C),G,L) = I )
                                                   => r2_analoaf(k7_geomtrap(A,B,C),H,J,K,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l93_geomtrap),
    []).

fof(l94_geomtrap,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(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(k7_geomtrap(A,B,C)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k7_geomtrap(A,B,C)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k7_geomtrap(A,B,C)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k7_geomtrap(A,B,C)))
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k7_geomtrap(A,B,C)))
                                 => ! [I] : 
                                      ( m1_subset_1(I,u1_struct_0(k7_geomtrap(A,B,C)))
                                     => ! [J] : 
                                          ( m1_subset_1(J,u1_struct_0(k7_geomtrap(A,B,C)))
                                         => ! [K] : 
                                              ( m1_subset_1(K,u1_struct_0(k7_geomtrap(A,B,C)))
                                             => ! [L] : 
                                                  ( m1_subset_1(L,u1_struct_0(k7_geomtrap(A,B,C)))
                                                 => ! [M] : 
                                                      ( m1_subset_1(M,u1_struct_0(k7_geomtrap(A,B,C)))
                                                     => ( ( r1_analmetr(A,B,C)
                                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,F,G)
                                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,H,I)
                                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,J,K)
                                                          & r2_analoaf(k7_geomtrap(A,B,C),D,E,L,M)
                                                          & r2_analoaf(k7_geomtrap(A,B,C),F,H,J,L) )
                                                       => ( D = E
                                                          | r2_analoaf(k7_geomtrap(A,B,C),G,I,K,M) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(geomtrap,l94_geomtrap),
    []).

fof(rc1_geomtrap,axiom,(
    ? [A] : 
      ( l1_geomtrap(A)
      & v1_geomtrap(A) ) ),
    file(geomtrap,rc1_geomtrap),
    []).

fof(rc1_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

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(rc2_geomtrap,axiom,(
    ? [A] : 
      ( l1_geomtrap(A)
      & ~ v3_struct_0(A)
      & v1_geomtrap(A) ) ),
    file(geomtrap,rc2_geomtrap),
    []).

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(rc3_geomtrap,axiom,(
    ? [A] : 
      ( l1_geomtrap(A)
      & ~ v3_struct_0(A)
      & v1_geomtrap(A)
      & v2_geomtrap(A) ) ),
    file(geomtrap,rc3_geomtrap),
    []).

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

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

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(redefinition_k2_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) ),
    file(binop_1,k2_binop_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(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),
    []).