% Mizar problem: t38_tex_3,tex_3,920,53 
fof(t38_tex_3,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r4_tsep_2(A,B,C)
               => ( v4_tex_3(B,A)
                <=> v2_tex_3(C,A) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc1_tex_3,cc3_tex_3,cc8_tex_3,cc10_tex_3,cc11_tex_3,rc5_tdlat_3,cc9_tdlat_3,cc10_tdlat_3,cc11_tdlat_3,cc12_tdlat_3,cc13_tdlat_3,cc14_tdlat_3,cc15_tdlat_3,cc1_tex_1,cc5_tex_1,cc12_tex_2,cc13_tex_2,cc14_tex_2,cc15_tex_2,cc21_tex_2,cc23_tex_2,cc25_tex_2,cc26_tex_2,cc27_tex_2,cc29_tex_2,cc30_tex_2,cc32_tex_2,cc34_tex_2,cc35_tex_2,cc36_tex_2,cc37_tex_2,cc39_tex_2,cc42_tex_2,cc43_tex_2,cc44_tex_2,cc45_tex_2,cc46_tex_2,cc47_tex_2,cc48_tex_2,cc49_tex_2,cc50_tex_2,existence_l1_struct_0,dt_l1_struct_0,cc2_tex_3,cc5_tex_3,cc6_tex_3,cc9_tex_3,cc12_tex_3,cc14_tex_3,cc16_tex_3,cc18_tex_3,cc1_tdlat_3,cc2_tdlat_3,cc3_tdlat_3,cc4_tdlat_3,cc5_tdlat_3,cc6_tdlat_3,cc7_tdlat_3,cc8_tdlat_3,cc2_tex_1,cc3_tex_1,cc4_tex_1,cc16_tex_2,cc17_tex_2,cc20_tex_2,cc22_tex_2,cc24_tex_2,cc28_tex_2,cc31_tex_2,cc33_tex_2,cc38_tex_2,cc40_tex_2,cc41_tex_2,rc3_struct_0,symmetry_r3_tsep_2,symmetry_r4_tsep_2,irreflexivity_r4_tsep_2,existence_l1_pre_topc,existence_m1_pre_topc,redefinition_r4_tsep_2,dt_l1_pre_topc,dt_m1_pre_topc,cc4_tex_3,cc7_tex_3,cc13_tex_3,cc15_tex_3,cc17_tex_3,cc1_pre_topc,cc18_tex_2,cc19_tex_2,t37_tex_3]),
    [file(tex_3,t38_tex_3)]).

fof(cc1_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v1_borsuk_1(B,A)
              & v1_tex_3(B,A) )
           => ( v2_pre_topc(B)
              & v1_borsuk_1(B,A)
              & v1_tsep_1(B,A)
              & ~ v2_tex_2(B,A) ) ) ) ) ),
    file(tex_3,cc1_tex_3),
    []).

fof(cc3_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v1_borsuk_1(B,A)
              & v2_tex_2(B,A) )
           => ( v2_pre_topc(B)
              & ~ v1_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc3_tex_3),
    []).

fof(cc8_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v1_tsep_1(B,A)
              & v1_tex_3(B,A) )
           => ( v2_pre_topc(B)
              & v1_tex_3(B,A)
              & v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc8_tex_3),
    []).

fof(cc10_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v1_tsep_1(B,A)
              & ~ v2_tex_3(B,A) )
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A)
              & ~ v1_tex_3(B,A)
              & ~ v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc10_tex_3),
    []).

fof(cc11_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tsep_1(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & ~ v3_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc11_tex_3),
    []).

fof(rc5_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_pre_topc(B,A)
          & v2_pre_topc(B)
          & v2_tdlat_3(B)
          & v3_tdlat_3(B) ) ) ),
    file(tdlat_3,rc5_tdlat_3),
    []).

fof(cc9_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_struct_0(B)
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_tdlat_3(B) ) ) ) ) ),
    file(tdlat_3,cc9_tdlat_3),
    []).

fof(cc10_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v1_tsep_1(B,A)
           => ( v2_pre_topc(B)
              & v1_borsuk_1(B,A) ) ) ) ) ),
    file(tdlat_3,cc10_tdlat_3),
    []).

fof(cc11_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v1_borsuk_1(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A) ) ) ) ) ),
    file(tdlat_3,cc11_tdlat_3),
    []).

fof(cc12_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v5_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v4_tdlat_3(A) ) ) ) ),
    file(tdlat_3,cc12_tdlat_3),
    []).

fof(cc13_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v3_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v5_tdlat_3(A) ) ) ) ),
    file(tdlat_3,cc13_tdlat_3),
    []).

fof(cc14_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v4_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tsep_1(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v4_tdlat_3(B) ) ) ) ) ),
    file(tdlat_3,cc14_tdlat_3),
    []).

fof(cc15_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v5_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_struct_0(B)
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B) ) ) ) ) ),
    file(tdlat_3,cc15_tdlat_3),
    []).

fof(cc1_tex_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v3_realset2(A)
          & v2_pre_topc(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A)
          & v2_tdlat_3(A)
          & v3_tdlat_3(A)
          & v4_tdlat_3(A)
          & v5_tdlat_3(A) ) ) ) ),
    file(tex_1,cc1_tex_1),
    []).

fof(cc5_tex_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v3_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A)
          & ~ v2_tdlat_3(A) ) ) ) ),
    file(tex_1,cc5_tex_1),
    []).

fof(cc12_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_struct_0(B)
           => ( ~ v3_struct_0(B)
              & ~ v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc12_tex_2),
    []).

fof(cc13_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v2_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc13_tex_2),
    []).

fof(cc14_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc14_tex_2),
    []).

fof(cc15_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v2_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & ~ v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc15_tex_2),
    []).

fof(cc21_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_tdlat_3(B)
           => ~ v1_tdlat_3(B) ) ) ) ),
    file(tex_2,cc21_tex_2),
    []).

fof(cc23_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_tdlat_3(B)
           => ~ v2_tdlat_3(B) ) ) ) ),
    file(tex_2,cc23_tex_2),
    []).

fof(cc25_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_tdlat_3(B)
              & ~ v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & ~ v1_tdlat_3(B) ) ) ) ) ),
    file(tex_2,cc25_tex_2),
    []).

fof(cc26_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tdlat_3(B)
              & ~ v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & ~ v2_tdlat_3(B) ) ) ) ) ),
    file(tex_2,cc26_tex_2),
    []).

fof(cc27_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc27_tex_2),
    []).

fof(cc29_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v1_tsep_1(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc29_tex_2),
    []).

fof(cc30_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v1_borsuk_1(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc30_tex_2),
    []).

fof(cc32_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & ~ v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc32_tex_2),
    []).

fof(cc34_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & ~ v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc34_tex_2),
    []).

fof(cc35_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & ~ v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & ~ v1_tsep_1(B,A)
              & ~ v1_borsuk_1(B,A)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc35_tex_2),
    []).

fof(cc36_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & ~ v3_realset2(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tdlat_3(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc36_tex_2),
    []).

fof(cc37_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v5_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B) ) ) ) ) ),
    file(tex_2,cc37_tex_2),
    []).

fof(cc39_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v5_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & v3_tdlat_3(B)
              & ~ v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc39_tex_2),
    []).

fof(cc42_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v5_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & v3_tdlat_3(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc42_tex_2),
    []).

fof(cc43_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v5_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc43_tex_2),
    []).

fof(cc44_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc44_tex_2),
    []).

fof(cc45_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B)
              & v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc45_tex_2),
    []).

fof(cc46_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v5_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & ~ v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v3_realset2(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc46_tex_2),
    []).

fof(cc47_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & ~ v1_tdlat_3(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v5_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc47_tex_2),
    []).

fof(cc48_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & ~ v1_tdlat_3(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v2_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc48_tex_2),
    []).

fof(cc49_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & ~ v2_tdlat_3(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v5_tex_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc49_tex_2),
    []).

fof(cc50_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & ~ v2_tdlat_3(A)
        & v3_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v3_realset2(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc50_tex_2),
    []).

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

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

fof(cc2_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v2_tex_2(B,A)
              & v1_tex_3(B,A) )
           => ( v2_pre_topc(B)
              & ~ v1_borsuk_1(B,A)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_3,cc2_tex_3),
    []).

fof(cc5_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v1_tex_3(B,A)
           => ( v2_pre_topc(B)
              & ~ v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc5_tex_3),
    []).

fof(cc6_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc6_tex_3),
    []).

fof(cc9_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( v1_tex_3(B,A)
              & ~ v2_tex_3(B,A) )
           => ( v2_pre_topc(B)
              & ~ v1_tsep_1(B,A)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_3,cc9_tex_3),
    []).

fof(cc12_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v3_tex_3(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & ~ v1_tsep_1(B,A)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_3,cc12_tex_3),
    []).

fof(cc14_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v3_tex_3(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A)
              & ~ v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc14_tex_3),
    []).

fof(cc16_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v3_tex_3(B,A)
           => ( v2_pre_topc(B)
              & ~ v4_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc16_tex_3),
    []).

fof(cc18_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v1_tex_3(B,A)
           => ( v2_pre_topc(B)
              & ~ v4_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc18_tex_3),
    []).

fof(cc1_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v1_tdlat_3(A)
       => v2_pre_topc(A) ) ) ),
    file(tdlat_3,cc1_tdlat_3),
    []).

fof(cc2_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v2_tdlat_3(A)
       => v2_pre_topc(A) ) ) ),
    file(tdlat_3,cc2_tdlat_3),
    []).

fof(cc3_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v1_tdlat_3(A)
       => v3_tdlat_3(A) ) ) ),
    file(tdlat_3,cc3_tdlat_3),
    []).

fof(cc4_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v2_tdlat_3(A)
       => v3_tdlat_3(A) ) ) ),
    file(tdlat_3,cc4_tdlat_3),
    []).

fof(cc5_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_pre_topc(B)
            & v1_borsuk_1(B,A)
            & v1_tsep_1(B,A)
            & v1_tdlat_3(B)
            & v3_tdlat_3(B) ) ) ) ),
    file(tdlat_3,cc5_tdlat_3),
    []).

fof(cc6_tdlat_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_pre_topc(B)
            & v2_tdlat_3(B)
            & v3_tdlat_3(B) ) ) ) ),
    file(tdlat_3,cc6_tdlat_3),
    []).

fof(cc7_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v1_tdlat_3(A) )
       => ( v2_pre_topc(A)
          & v3_tdlat_3(A) ) ) ) ),
    file(tdlat_3,cc7_tdlat_3),
    []).

fof(cc8_tdlat_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v2_tdlat_3(A) )
       => ( v2_pre_topc(A)
          & v3_tdlat_3(A) ) ) ) ),
    file(tdlat_3,cc8_tdlat_3),
    []).

fof(cc2_tex_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A)
          & v2_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & v3_realset2(A)
          & v2_pre_topc(A) ) ) ) ),
    file(tex_1,cc2_tex_1),
    []).

fof(cc3_tex_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A) ) ) ) ),
    file(tex_1,cc3_tex_1),
    []).

fof(cc4_tex_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v2_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A) ) ) ) ),
    file(tex_1,cc4_tex_1),
    []).

fof(cc16_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v1_tdlat_3(B)
           => v2_pre_topc(B) ) ) ) ),
    file(tex_2,cc16_tex_2),
    []).

fof(cc17_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_tdlat_3(B)
           => v2_pre_topc(B) ) ) ) ),
    file(tex_2,cc17_tex_2),
    []).

fof(cc20_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v1_tdlat_3(B)
           => v3_tdlat_3(B) ) ) ) ),
    file(tex_2,cc20_tex_2),
    []).

fof(cc22_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_tdlat_3(B)
           => v3_tdlat_3(B) ) ) ) ),
    file(tex_2,cc22_tex_2),
    []).

fof(cc24_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B) )
           => ( ~ v3_struct_0(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc24_tex_2),
    []).

fof(cc28_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A) ) ) ) ) ),
    file(tex_2,cc28_tex_2),
    []).

fof(cc31_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_tdlat_3(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc31_tex_2),
    []).

fof(cc33_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & v1_tdlat_3(B) )
           => ( ~ v3_struct_0(B)
              & v2_pre_topc(B)
              & v1_tdlat_3(B)
              & v2_tdlat_3(B)
              & v3_tdlat_3(B)
              & v4_tdlat_3(B)
              & v5_tdlat_3(B)
              & v3_realset2(B) ) ) ) ) ),
    file(tex_2,cc33_tex_2),
    []).

fof(cc38_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v1_tdlat_3(B) )
           => ( ~ v3_struct_0(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc38_tex_2),
    []).

fof(cc40_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & v3_tdlat_3(B)
              & ~ v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc40_tex_2),
    []).

fof(cc41_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_tdlat_3(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_tex_2(B,A)
           => ( v2_pre_topc(B)
              & v1_tsep_1(B,A)
              & v1_borsuk_1(B,A)
              & v1_tdlat_3(B)
              & v3_tdlat_3(B)
              & v5_tex_2(B,A) ) ) ) ) ),
    file(tex_2,cc41_tex_2),
    []).

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

fof(symmetry_r3_tsep_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_pre_topc(B,A)
        & m1_pre_topc(C,A) )
     => ( r3_tsep_2(A,B,C)
       => r3_tsep_2(A,C,B) ) ) ),
    file(tsep_2,r3_tsep_2),
    []).

fof(symmetry_r4_tsep_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & m1_pre_topc(B,A)
        & ~ v3_struct_0(C)
        & m1_pre_topc(C,A) )
     => ( r4_tsep_2(A,B,C)
       => r4_tsep_2(A,C,B) ) ) ),
    file(tsep_2,r4_tsep_2),
    []).

fof(irreflexivity_r4_tsep_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & m1_pre_topc(B,A)
        & ~ v3_struct_0(C)
        & m1_pre_topc(C,A) )
     => ~ r4_tsep_2(A,B,B) ) ),
    file(tsep_2,r4_tsep_2),
    []).

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(existence_m1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ? [B] : m1_pre_topc(B,A) ) ),
    file(pre_topc,m1_pre_topc),
    []).

fof(redefinition_r4_tsep_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & m1_pre_topc(B,A)
        & ~ v3_struct_0(C)
        & m1_pre_topc(C,A) )
     => ( r4_tsep_2(A,B,C)
      <=> r3_tsep_2(A,B,C) ) ) ),
    file(tsep_2,r4_tsep_2),
    []).

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    []).

fof(dt_m1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => l1_pre_topc(B) ) ) ),
    file(pre_topc,m1_pre_topc),
    []).

fof(cc4_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_tex_3(B,A)
           => ( v2_pre_topc(B)
              & v1_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc4_tex_3),
    []).

fof(cc7_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_tex_3(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A) ) ) ) ) ),
    file(tex_3,cc7_tex_3),
    []).

fof(cc13_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v2_tex_3(B,A)
           => ( v2_pre_topc(B)
              & ~ v3_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc13_tex_3),
    []).

fof(cc15_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v4_tex_3(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A)
              & ~ v2_tex_3(B,A)
              & v3_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc15_tex_3),
    []).

fof(cc17_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( v4_tex_3(B,A)
           => ( v2_pre_topc(B)
              & v2_tex_2(B,A)
              & ~ v1_tex_3(B,A)
              & ~ v2_tex_3(B,A) ) ) ) ) ),
    file(tex_3,cc17_tex_3),
    []).

fof(cc1_pre_topc,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => v2_pre_topc(B) ) ) ),
    file(pre_topc,cc1_pre_topc),
    []).

fof(cc18_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_pre_topc(B)
           => ~ v1_tdlat_3(B) ) ) ) ),
    file(tex_2,cc18_tex_2),
    []).

fof(cc19_tex_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ( ~ v2_pre_topc(B)
           => ~ v2_tdlat_3(B) ) ) ) ),
    file(tex_2,cc19_tex_2),
    []).

fof(t37_tex_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_pre_topc(B,A)
         => ! [C] : 
              ( m1_pre_topc(C,A)
             => ( r3_tsep_2(A,B,C)
               => ( v2_tex_3(B,A)
                <=> v4_tex_3(C,A) ) ) ) ) ) ),
    file(tex_3,t37_tex_3),
    []).