% Mizar ND problem: t3_borsuk_3,borsuk_3,100,25 
fof(dh_c1_9__borsuk_3,definition,
    ( ( ( ~ v3_struct_0(c1_9__borsuk_3)
        & v2_pre_topc(c1_9__borsuk_3)
        & l1_pre_topc(c1_9__borsuk_3) )
     => ! [A] : 
          ( ( ~ v3_struct_0(A)
            & v2_pre_topc(A)
            & l1_pre_topc(A) )
         => ! [B] : 
              ( ( ~ v3_struct_0(B)
                & v2_pre_topc(B)
                & l1_pre_topc(B) )
             => ( ( r1_borsuk_3(c1_9__borsuk_3,A)
                  & r1_borsuk_3(A,B) )
               => r1_borsuk_3(c1_9__borsuk_3,B) ) ) ) )
   => ! [C] : 
        ( ( ~ v3_struct_0(C)
          & v2_pre_topc(C)
          & l1_pre_topc(C) )
       => ! [D] : 
            ( ( ~ v3_struct_0(D)
              & v2_pre_topc(D)
              & l1_pre_topc(D) )
           => ! [E] : 
                ( ( ~ v3_struct_0(E)
                  & v2_pre_topc(E)
                  & l1_pre_topc(E) )
               => ( ( r1_borsuk_3(C,D)
                    & r1_borsuk_3(D,E) )
                 => r1_borsuk_3(C,E) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_9__borsuk_3),file(borsuk_3,c1_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c1_9__borsuk_3)]).

fof(dh_c2_9__borsuk_3,definition,
    ( ( ( ~ v3_struct_0(c2_9__borsuk_3)
        & v2_pre_topc(c2_9__borsuk_3)
        & l1_pre_topc(c2_9__borsuk_3) )
     => ! [A] : 
          ( ( ~ v3_struct_0(A)
            & v2_pre_topc(A)
            & l1_pre_topc(A) )
         => ( ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
              & r1_borsuk_3(c2_9__borsuk_3,A) )
           => r1_borsuk_3(c1_9__borsuk_3,A) ) ) )
   => ! [B] : 
        ( ( ~ v3_struct_0(B)
          & v2_pre_topc(B)
          & l1_pre_topc(B) )
       => ! [C] : 
            ( ( ~ v3_struct_0(C)
              & v2_pre_topc(C)
              & l1_pre_topc(C) )
           => ( ( r1_borsuk_3(c1_9__borsuk_3,B)
                & r1_borsuk_3(B,C) )
             => r1_borsuk_3(c1_9__borsuk_3,C) ) ) ) ),
    introduced(definition,[new_symbol(c2_9__borsuk_3),file(borsuk_3,c2_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c2_9__borsuk_3)]).

fof(dh_c3_9__borsuk_3,definition,
    ( ( ( ~ v3_struct_0(c3_9__borsuk_3)
        & v2_pre_topc(c3_9__borsuk_3)
        & l1_pre_topc(c3_9__borsuk_3) )
     => ( ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
          & r1_borsuk_3(c2_9__borsuk_3,c3_9__borsuk_3) )
       => r1_borsuk_3(c1_9__borsuk_3,c3_9__borsuk_3) ) )
   => ! [A] : 
        ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & l1_pre_topc(A) )
       => ( ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
            & r1_borsuk_3(c2_9__borsuk_3,A) )
         => r1_borsuk_3(c1_9__borsuk_3,A) ) ) ),
    introduced(definition,[new_symbol(c3_9__borsuk_3),file(borsuk_3,c3_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c3_9__borsuk_3)]).

fof(e1_9__borsuk_3,assumption,
    ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
    & r1_borsuk_3(c2_9__borsuk_3,c3_9__borsuk_3) ),
    introduced(assumption,[file(borsuk_3,e1_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,e1_9__borsuk_3)]).

fof(rc2_waybel12,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_finset_1(A)
      & v1_card_4(A) ) ),
    file(waybel12,rc2_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc2_waybel12)]).

fof(rc3_waybel12,theorem,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v1_xboole_0(B)
          & v1_finset_1(B)
          & v1_card_4(B) ) ) ),
    file(waybel12,rc3_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc3_waybel12)]).

fof(rc4_tops_1,theorem,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v1_xboole_0(B)
          & v1_membered(B)
          & v2_membered(B)
          & v3_membered(B)
          & v4_membered(B)
          & v5_membered(B)
          & v2_tops_1(B,A) ) ) ),
    file(tops_1,rc4_tops_1),
    [interesting(0.9),axiom,file(tops_1,rc4_tops_1)]).

fof(rc4_waybel12,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A)
      & v1_card_4(A) ) ),
    file(waybel12,rc4_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc4_waybel12)]).

fof(rc5_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v1_xboole_0(B)
          & v3_pre_topc(B,A)
          & v4_pre_topc(B,A)
          & v1_membered(B)
          & v2_membered(B)
          & v3_membered(B)
          & v4_membered(B)
          & v5_membered(B)
          & v2_tops_1(B,A)
          & v3_tops_1(B,A) ) ) ),
    file(tops_1,rc5_tops_1),
    [interesting(0.9),axiom,file(tops_1,rc5_tops_1)]).

fof(rc6_waybel12,theorem,(
    ? [A] : 
      ( ~ v1_finset_1(A)
      & v1_card_4(A) ) ),
    file(waybel12,rc6_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc6_waybel12)]).

fof(rc7_waybel12,theorem,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
          & v1_xboole_0(B)
          & v1_finset_1(B)
          & v1_card_4(B) ) ) ),
    file(waybel12,rc7_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc7_waybel12)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(cc2_waybel12,theorem,(
    ! [A] : 
      ( v1_finset_1(A)
     => v1_card_4(A) ) ),
    file(waybel12,cc2_waybel12),
    [interesting(0.9),axiom,file(waybel12,cc2_waybel12)]).

fof(cc4_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_tops_1(B,A)
           => v2_tops_1(B,A) ) ) ) ),
    file(tops_1,cc4_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc4_tops_1)]).

fof(cc5_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( ( v4_pre_topc(B,A)
              & v2_tops_1(B,A) )
           => ( v2_tops_1(B,A)
              & v3_tops_1(B,A) ) ) ) ) ),
    file(tops_1,cc5_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc5_tops_1)]).

fof(cc6_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( ( v3_pre_topc(B,A)
              & v3_tops_1(B,A) )
           => ( v1_xboole_0(B)
              & v3_pre_topc(B,A)
              & v4_pre_topc(B,A)
              & v1_membered(B)
              & v2_membered(B)
              & v3_membered(B)
              & v4_membered(B)
              & v5_membered(B)
              & v2_tops_1(B,A)
              & v3_tops_1(B,A) ) ) ) ) ),
    file(tops_1,cc6_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc6_tops_1)]).

fof(fc1_xboole_0,theorem,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc1_xboole_0)]).

fof(rc1_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v3_pre_topc(B,A) ) ) ),
    file(tops_1,rc1_tops_1),
    [interesting(0.9),axiom,file(tops_1,rc1_tops_1)]).

fof(rc2_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v3_pre_topc(B,A)
          & v4_pre_topc(B,A) ) ) ),
    file(tops_1,rc2_tops_1),
    [interesting(0.9),axiom,file(tops_1,rc2_tops_1)]).

fof(rc3_tops_1,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v3_pre_topc(B,A)
          & v4_pre_topc(B,A) ) ) ),
    file(tops_1,rc3_tops_1),
    [interesting(0.9),axiom,file(tops_1,rc3_tops_1)]).

fof(rc6_pre_topc,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v4_pre_topc(B,A) ) ) ),
    file(pre_topc,rc6_pre_topc),
    [interesting(0.9),axiom,file(pre_topc,rc6_pre_topc)]).

fof(rc7_pre_topc,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v4_pre_topc(B,A) ) ) ),
    file(pre_topc,rc7_pre_topc),
    [interesting(0.9),axiom,file(pre_topc,rc7_pre_topc)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    [interesting(0.9),axiom,file(struct_0,l1_struct_0)]).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,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),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_k5_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k5_relat_1(A,B)) ) ),
    file(relat_1,k5_relat_1),
    [interesting(0.9),axiom,file(relat_1,k5_relat_1)]).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    [interesting(0.9),axiom,file(struct_0,l1_struct_0)]).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(cc1_relset_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_1)]).

fof(cc1_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_xboole_0(B)
           => ( v3_pre_topc(B,A)
              & v4_pre_topc(B,A) ) ) ) ) ),
    file(tops_1,cc1_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc1_tops_1)]).

fof(cc1_waybel12,theorem,(
    ! [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)
            & v1_finset_1(B) ) ) ) ),
    file(waybel12,cc1_waybel12),
    [interesting(0.9),axiom,file(waybel12,cc1_waybel12)]).

fof(cc2_tops_1,theorem,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_xboole_0(B)
           => v2_tops_1(B,A) ) ) ) ),
    file(tops_1,cc2_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc2_tops_1)]).

fof(cc3_tops_1,theorem,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_xboole_0(B)
           => v3_tops_1(B,A) ) ) ) ),
    file(tops_1,cc3_tops_1),
    [interesting(0.9),axiom,file(tops_1,cc3_tops_1)]).

fof(cc4_borsuk_2,theorem,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v3_struct_0(A)
       => v2_t_0topsp(A) ) ) ),
    file(borsuk_2,cc4_borsuk_2),
    [interesting(0.9),axiom,file(borsuk_2,cc4_borsuk_2)]).

fof(fc1_borsuk_3,theorem,(
    ! [A,B] : 
      ( v1_xboole_0(B)
     => v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(borsuk_3,fc1_borsuk_3),
    [interesting(0.9),axiom,file(borsuk_3,fc1_borsuk_3)]).

fof(fc1_struct_0,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    [interesting(0.9),axiom,file(struct_0,fc1_struct_0)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

fof(fc1_waybel12,theorem,(
    ! [A] : 
      ( ( v3_struct_0(A)
        & l1_struct_0(A) )
     => ( v1_xboole_0(u1_struct_0(A))
        & v1_finset_1(u1_struct_0(A)) ) ) ),
    file(waybel12,fc1_waybel12),
    [interesting(0.9),axiom,file(waybel12,fc1_waybel12)]).

fof(fc2_borsuk_3,theorem,(
    ! [A,B] : 
      ( v1_xboole_0(A)
     => v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(borsuk_3,fc2_borsuk_3),
    [interesting(0.9),axiom,file(borsuk_3,fc2_borsuk_3)]).

fof(fc4_subset_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc4_subset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc1_waybel12,theorem,(
    ? [A] : 
      ( l1_struct_0(A)
      & v3_struct_0(A) ) ),
    file(waybel12,rc1_waybel12),
    [interesting(0.9),axiom,file(waybel12,rc1_waybel12)]).

fof(rc1_xboole_0,theorem,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc1_xboole_0)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(rc2_xboole_0,theorem,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc2_xboole_0)]).

fof(rc3_struct_0,theorem,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    [interesting(0.9),axiom,file(struct_0,rc3_struct_0)]).

fof(rc5_struct_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(struct_0,rc5_struct_0)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(symmetry_r1_borsuk_3,theorem,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & l1_pre_topc(B) )
     => ( r1_borsuk_3(A,B)
       => r1_borsuk_3(B,A) ) ) ),
    file(borsuk_3,r1_borsuk_3),
    [interesting(0.9),axiom,file(borsuk_3,r1_borsuk_3)]).

fof(reflexivity_r1_borsuk_3,theorem,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & l1_pre_topc(B) )
     => r1_borsuk_3(A,A) ) ),
    file(borsuk_3,r1_borsuk_3),
    [interesting(0.9),axiom,file(borsuk_3,r1_borsuk_3)]).

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    [interesting(0.9),axiom,file(pre_topc,l1_pre_topc)]).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_k7_funct_2,definition,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
    file(funct_2,k7_funct_2),
    [interesting(0.9),axiom,file(funct_2,k7_funct_2)]).

fof(redefinition_m2_relset_1,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_r1_borsuk_3,definition,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & l1_pre_topc(B) )
     => ( r1_borsuk_3(A,B)
      <=> r1_t_0topsp(A,B) ) ) ),
    file(borsuk_3,r1_borsuk_3),
    [interesting(0.9),axiom,file(borsuk_3,r1_borsuk_3)]).

fof(dt_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => ( v1_funct_1(k7_funct_2(A,B,C,D,E))
        & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
        & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ) ),
    file(funct_2,k7_funct_2),
    [interesting(0.9),axiom,file(funct_2,k7_funct_2)]).

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    [interesting(0.9),axiom,file(pre_topc,l1_pre_topc)]).

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),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    [interesting(0.9),axiom,file(struct_0,u1_struct_0)]).

fof(dt_c1_9__borsuk_3,assumption,
    ( ~ v3_struct_0(c1_9__borsuk_3)
    & v2_pre_topc(c1_9__borsuk_3)
    & l1_pre_topc(c1_9__borsuk_3) ),
    introduced(assumption,[file(borsuk_3,c1_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c1_9__borsuk_3)]).

fof(dt_c2_9__borsuk_3,assumption,
    ( ~ v3_struct_0(c2_9__borsuk_3)
    & v2_pre_topc(c2_9__borsuk_3)
    & l1_pre_topc(c2_9__borsuk_3) ),
    introduced(assumption,[file(borsuk_3,c2_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c2_9__borsuk_3)]).

fof(dt_c3_9__borsuk_3,assumption,
    ( ~ v3_struct_0(c3_9__borsuk_3)
    & v2_pre_topc(c3_9__borsuk_3)
    & l1_pre_topc(c3_9__borsuk_3) ),
    introduced(assumption,[file(borsuk_3,c3_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c3_9__borsuk_3)]).

fof(dh_c4_9__borsuk_3,definition,
    ( ? [A] : 
        ( v1_funct_1(A)
        & v1_funct_2(A,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
        & m2_relset_1(A,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
        & v3_tops_2(A,c1_9__borsuk_3,c2_9__borsuk_3) )
   => ( v1_funct_1(c4_9__borsuk_3)
      & v1_funct_2(c4_9__borsuk_3,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
      & m2_relset_1(c4_9__borsuk_3,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
      & v3_tops_2(c4_9__borsuk_3,c1_9__borsuk_3,c2_9__borsuk_3) ) ),
    introduced(definition,[new_symbol(c4_9__borsuk_3),file(borsuk_3,c4_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c4_9__borsuk_3)]).

fof(d1_t_0topsp,definition,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( l1_pre_topc(B)
         => ( r1_t_0topsp(A,B)
          <=> ? [C] : 
                ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
                & v3_tops_2(C,A,B) ) ) ) ) ),
    file(t_0topsp,d1_t_0topsp),
    [interesting(0.9),axiom,file(t_0topsp,d1_t_0topsp)]).

fof(e2_9__borsuk_3,plain,(
    ? [A] : 
      ( v1_funct_1(A)
      & v1_funct_2(A,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
      & m2_relset_1(A,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
      & v3_tops_2(A,c1_9__borsuk_3,c2_9__borsuk_3) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[rc4_tops_1,rc5_tops_1,antisymmetry_r2_hidden,dt_k1_xboole_0,cc4_tops_1,cc5_tops_1,cc6_tops_1,fc1_xboole_0,rc1_tops_1,rc2_tops_1,rc2_waybel12,rc3_tops_1,rc3_waybel12,rc4_waybel12,rc6_pre_topc,rc6_waybel12,rc7_pre_topc,rc7_waybel12,t1_subset,t4_subset,t5_subset,t8_boole,reflexivity_r1_tarski,cc1_tops_1,cc2_tops_1,cc2_waybel12,cc3_tops_1,fc1_borsuk_3,fc2_borsuk_3,fc4_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,rc5_struct_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,cc1_relset_1,cc1_waybel12,cc4_borsuk_2,fc1_struct_0,fc1_subset_1,fc1_waybel12,rc1_waybel12,rc3_struct_0,t3_subset,symmetry_r1_borsuk_3,reflexivity_r1_borsuk_3,existence_l1_pre_topc,existence_m2_relset_1,redefinition_m2_relset_1,redefinition_r1_borsuk_3,dt_l1_pre_topc,dt_m2_relset_1,dt_u1_struct_0,dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3,d1_t_0topsp]),
    [interesting(0.8),file(borsuk_3,e2_9__borsuk_3),[file(borsuk_3,e2_9__borsuk_3)]]).

fof(dt_c4_9__borsuk_3,plain,
    ( v1_funct_1(c4_9__borsuk_3)
    & v1_funct_2(c4_9__borsuk_3,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3))
    & m2_relset_1(c4_9__borsuk_3,u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3)) ),
    inference(consider,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[dh_c4_9__borsuk_3,e2_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,c4_9__borsuk_3),[file(borsuk_3,c4_9__borsuk_3)]]).

fof(dh_c5_9__borsuk_3,definition,
    ( ? [A] : 
        ( v1_funct_1(A)
        & v1_funct_2(A,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
        & m2_relset_1(A,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
        & v3_tops_2(A,c2_9__borsuk_3,c3_9__borsuk_3) )
   => ( v1_funct_1(c5_9__borsuk_3)
      & v1_funct_2(c5_9__borsuk_3,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
      & m2_relset_1(c5_9__borsuk_3,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
      & v3_tops_2(c5_9__borsuk_3,c2_9__borsuk_3,c3_9__borsuk_3) ) ),
    introduced(definition,[new_symbol(c5_9__borsuk_3),file(borsuk_3,c5_9__borsuk_3)]),
    [interesting(0.8),axiom,file(borsuk_3,c5_9__borsuk_3)]).

fof(e4_9__borsuk_3,plain,(
    ? [A] : 
      ( v1_funct_1(A)
      & v1_funct_2(A,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
      & m2_relset_1(A,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
      & v3_tops_2(A,c2_9__borsuk_3,c3_9__borsuk_3) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[rc4_tops_1,rc5_tops_1,antisymmetry_r2_hidden,dt_k1_xboole_0,cc4_tops_1,cc5_tops_1,cc6_tops_1,fc1_xboole_0,rc1_tops_1,rc2_tops_1,rc2_waybel12,rc3_tops_1,rc3_waybel12,rc4_waybel12,rc6_pre_topc,rc6_waybel12,rc7_pre_topc,rc7_waybel12,t1_subset,t4_subset,t5_subset,t8_boole,reflexivity_r1_tarski,cc1_tops_1,cc2_tops_1,cc2_waybel12,cc3_tops_1,fc1_borsuk_3,fc2_borsuk_3,fc4_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,rc5_struct_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,cc1_relset_1,cc1_waybel12,cc4_borsuk_2,fc1_struct_0,fc1_subset_1,fc1_waybel12,rc1_waybel12,rc3_struct_0,t3_subset,symmetry_r1_borsuk_3,reflexivity_r1_borsuk_3,existence_l1_pre_topc,existence_m2_relset_1,redefinition_m2_relset_1,redefinition_r1_borsuk_3,dt_l1_pre_topc,dt_m2_relset_1,dt_u1_struct_0,dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3,d1_t_0topsp]),
    [interesting(0.8),file(borsuk_3,e4_9__borsuk_3),[file(borsuk_3,e4_9__borsuk_3)]]).

fof(dt_c5_9__borsuk_3,plain,
    ( v1_funct_1(c5_9__borsuk_3)
    & v1_funct_2(c5_9__borsuk_3,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3))
    & m2_relset_1(c5_9__borsuk_3,u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3)) ),
    inference(consider,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[dh_c5_9__borsuk_3,e4_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,c5_9__borsuk_3),[file(borsuk_3,c5_9__borsuk_3)]]).

fof(e3_9__borsuk_3,plain,(
    v3_tops_2(c4_9__borsuk_3,c1_9__borsuk_3,c2_9__borsuk_3) ),
    inference(consider,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[dh_c4_9__borsuk_3,e2_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,e3_9__borsuk_3),[file(borsuk_3,e3_9__borsuk_3)]]).

fof(e5_9__borsuk_3,plain,(
    v3_tops_2(c5_9__borsuk_3,c2_9__borsuk_3,c3_9__borsuk_3) ),
    inference(consider,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[dh_c5_9__borsuk_3,e4_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,e5_9__borsuk_3),[file(borsuk_3,e5_9__borsuk_3)]]).

fof(t71_tops_2,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_pre_topc(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l1_pre_topc(C) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
                        & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                     => ( ( v3_tops_2(D,A,B)
                          & v3_tops_2(E,B,C) )
                       => v3_tops_2(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) ),
    file(tops_2,t71_tops_2),
    [interesting(0.9),axiom,file(tops_2,t71_tops_2)]).

fof(e6_9__borsuk_3,plain,(
    v3_tops_2(k7_funct_2(u1_struct_0(c1_9__borsuk_3),u1_struct_0(c2_9__borsuk_3),u1_struct_0(c3_9__borsuk_3),c4_9__borsuk_3,c5_9__borsuk_3),c1_9__borsuk_3,c3_9__borsuk_3) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[rc2_waybel12,rc3_waybel12,rc4_tops_1,rc4_waybel12,rc5_tops_1,rc6_waybel12,rc7_waybel12,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc2_waybel12,cc4_tops_1,cc5_tops_1,cc6_tops_1,fc1_xboole_0,rc1_tops_1,rc2_tops_1,rc3_tops_1,rc6_pre_topc,rc7_pre_topc,t1_subset,t4_subset,t5_subset,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k5_relat_1,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,cc1_relset_1,cc1_tops_1,cc1_waybel12,cc2_tops_1,cc3_tops_1,fc1_borsuk_3,fc1_struct_0,fc1_subset_1,fc1_waybel12,fc2_borsuk_3,fc4_subset_1,rc1_subset_1,rc1_waybel12,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_l1_pre_topc,existence_m2_relset_1,redefinition_k7_funct_2,redefinition_m2_relset_1,dt_k7_funct_2,dt_l1_pre_topc,dt_m2_relset_1,dt_u1_struct_0,dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,dt_c4_9__borsuk_3,dt_c5_9__borsuk_3,cc4_borsuk_2,e3_9__borsuk_3,e5_9__borsuk_3,t71_tops_2]),
    [interesting(0.8),file(borsuk_3,e6_9__borsuk_3),[file(borsuk_3,e6_9__borsuk_3)]]).

fof(e7_9__borsuk_3,plain,(
    r1_borsuk_3(c1_9__borsuk_3,c3_9__borsuk_3) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[rc2_waybel12,rc3_waybel12,rc4_tops_1,rc4_waybel12,rc5_tops_1,rc6_waybel12,rc7_waybel12,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc2_waybel12,cc4_tops_1,cc5_tops_1,cc6_tops_1,fc1_xboole_0,rc1_tops_1,rc2_tops_1,rc3_tops_1,rc6_pre_topc,rc7_pre_topc,t1_subset,t4_subset,t5_subset,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k5_relat_1,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,cc1_relset_1,cc1_tops_1,cc1_waybel12,cc2_tops_1,cc3_tops_1,cc4_borsuk_2,fc1_borsuk_3,fc1_struct_0,fc1_subset_1,fc1_waybel12,fc2_borsuk_3,fc4_subset_1,rc1_subset_1,rc1_waybel12,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,symmetry_r1_borsuk_3,reflexivity_r1_borsuk_3,existence_l1_pre_topc,existence_m2_relset_1,redefinition_k7_funct_2,redefinition_m2_relset_1,redefinition_r1_borsuk_3,dt_k7_funct_2,dt_l1_pre_topc,dt_m2_relset_1,dt_u1_struct_0,dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,dt_c4_9__borsuk_3,dt_c5_9__borsuk_3,e6_9__borsuk_3,d1_t_0topsp]),
    [interesting(0.8),file(borsuk_3,e7_9__borsuk_3),[file(borsuk_3,e7_9__borsuk_3)]]).

fof(i3_9__borsuk_3,theorem,(
    $true ),
    introduced(tautology,[file(borsuk_3,i3_9__borsuk_3)]),
    [interesting(0.8),trivial,file(borsuk_3,i3_9__borsuk_3)]).

fof(i2_9__borsuk_3,plain,(
    r1_borsuk_3(c1_9__borsuk_3,c3_9__borsuk_3) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,e1_9__borsuk_3])],[e7_9__borsuk_3,i3_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,i2_9__borsuk_3),[file(borsuk_3,i2_9__borsuk_3)]]).

fof(i1_9__borsuk_3,plain,
    ( ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
      & r1_borsuk_3(c2_9__borsuk_3,c3_9__borsuk_3) )
   => r1_borsuk_3(c1_9__borsuk_3,c3_9__borsuk_3) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3]),discharge_asm(discharge,[e1_9__borsuk_3])],[e1_9__borsuk_3,i2_9__borsuk_3]),
    [interesting(0.8),file(borsuk_3,i1_9__borsuk_3),[file(borsuk_3,i1_9__borsuk_3)]]).

fof(i1_9_tmp__borsuk_3,plain,
    ( ( ~ v3_struct_0(c1_9__borsuk_3)
      & v2_pre_topc(c1_9__borsuk_3)
      & l1_pre_topc(c1_9__borsuk_3)
      & ~ v3_struct_0(c2_9__borsuk_3)
      & v2_pre_topc(c2_9__borsuk_3)
      & l1_pre_topc(c2_9__borsuk_3)
      & ~ v3_struct_0(c3_9__borsuk_3)
      & v2_pre_topc(c3_9__borsuk_3)
      & l1_pre_topc(c3_9__borsuk_3) )
   => ( ( r1_borsuk_3(c1_9__borsuk_3,c2_9__borsuk_3)
        & r1_borsuk_3(c2_9__borsuk_3,c3_9__borsuk_3) )
     => r1_borsuk_3(c1_9__borsuk_3,c3_9__borsuk_3) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3])],[dt_c1_9__borsuk_3,dt_c2_9__borsuk_3,dt_c3_9__borsuk_3,i1_9__borsuk_3]),
    [interesting(1),t3_borsuk_3]).

fof(t3_borsuk_3,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( ( r1_borsuk_3(A,B)
                  & r1_borsuk_3(B,C) )
               => r1_borsuk_3(A,C) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_9_tmp__borsuk_3,dh_c1_9__borsuk_3,dh_c2_9__borsuk_3,dh_c3_9__borsuk_3]),
    [interesting(1),file(borsuk_3,t3_borsuk_3),[file(borsuk_3,t3_borsuk_3)]]).